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, 1037, 2047, 6970, 5302, 9305, 4957, 2012, 3519, 12602, 1998, 3361, 2173, 1010, 2877, 5467, 2039, 2000, 2777, 2527, 7248, 1010, 2004, 7021, 2013, 1996, 4514, 1012, 2065, 2045, 2020, 1037, 5049, 2005, 1523, 2190, 5023, 3345, 2276, 1999, 1996, 7077, 1010, 1524, 1996, 22917, 3453, 2052, 2022, 2777, 2527, 1521, 1055, 5869, 24164, 2395, 2276, 1012, 2031, 2017, 2412, 2699, 1998, 3478, 2000, 2424, 2023, 2276, 1010, 2030, 2018, 2000, 2507, 5186, 6851, 7826, 2000, 2393, 2619, 2842, 2424, 2009, 1029, 2065, 2115, 3437, 2003, 1523, 2748, 1010, 1524, 2017, 1521, 2310, 2288, 7167, 1997, 2194, 1012, 2061, 2339, 2003, 2009, 2107, 1037, 6547, 1029, 2172, 1997, 1996, 29404, 9855, 1523, 4022, 1524, 5467, 2003, 2235, 1010, 2872, 1999, 3054, 1011, 3796, 5269, 2521, 2041, 1997, 5107, 2846, 2013, 5516, 26540, 1010, 1998, 2987, 1521, 1056, 3582, 1996, 2640, 4781, 1997, 2777, 2527, 5751, 1012, 1996, 2276, 2993, 2003, 9332, 1998, 5023, 2369, 1996, 3190, 2604, 7047, 3863, 1025, 1996, 7248, 2024, 2036, 2682, 2598, 2007, 1037, 2309, 2391, 1997, 4443, 1012, 2023, 9682, 3193, 3957, 2017, 1037, 2391, 1997, 4431, 1012, 14931, 2050, 8195, 2040, 4299, 2000, 7532, 2013, 1996, 5869, 24164, 1013, 3158, 29470, 1520, 1048, 1521, 2276, 2097, 2424, 29404, 2012, 4132, 2504, 18625, 5869, 24164, 2395, 2777, 2527, 2276, 1012, 2320, 2017, 2131, 2091, 2000, 2395, 2504, 1010, 20396, 29404, 2003, 7823, 2000, 2424, 1012, 2045, 2003, 3904, 2006, 1996, 5108, 2090, 1996, 14931, 2050, 4132, 1998, 2395, 2504, 1012, 5869, 24164, 2395, 2276, 3696, 7021, 2013, 2033, 20715, 19105, 2504, 1997, 14931, 2050, 5869, 24164, 1013, 3158, 29470, 2276, 1012, 1996, 2777, 2527, 3696, 3491, 2682, 2003, 5710, 2013, 1037, 3132, 2181, 1997, 1996, 14931, 2050, 2276, 2033, 20715, 19105, 1012, 2045, 2003, 2053, 2060, 2777, 2527, 29404, 2006, 3158, 29470, 1012, 2065, 2017, 1521, 2128, 8455, 5869, 24164, 2013, 1996, 2264, 1010, 1996, 3696, 3504, 2066, 2023, 2012, 2087, 2335, 1997, 2154, 1516, 2067, 15909, 1010, 2007, 2053, 3622, 7497, 1010, 23649, 2011, 4743, 13433, 7361, 1998, 11844, 2063, 1010, 2092, 2682, 1996, 3671, 2240, 1997, 4356, 2005, 2023, 5697, 6840, 1012, 2009, 1521, 1055, 2062, 5710, 2013, 1996, 2225, 1010, 2012, 2560, 1999, 11695, 1012, 2012, 2305, 1010, 2009, 1521, 1055, 1999, 1996, 6281, 1997, 1996, 1520, 1048, 1521, 3252, 1012, 1037, 2261, 3760, 5751, 1010, 4987, 2000, 2070, 1997, 1996, 1520, 1048, 1521, 2490, 7753, 3553, 2000, 3239, 2504, 1010, 2052, 2022, 2062, 4621, 1012, 5869, 24164, 2358, 1012, 2276, 3696, 7021, 2013, 3158, 29470, 2012, 5869, 24164, 3158, 29470, 2012, 3361, 2173, 1006, 20055, 4190, 1007, 3065, 1037, 3768, 1997, 2276, 29404, 2012, 1996, 3229, 13276, 1012, 3193, 2013, 5869, 24164, 1998, 3519, 1010, 4794, 3420, 1011, 7205, 29404, 18625, 2777, 2527, 1006, 16021, 3388, 1007, 2003, 3054, 23467, 1012, 2023, 15262, 3229, 3696, 2003, 5516, 2000, 1996, 2777, 2527, 3696, 1999, 1996, 16021, 3388, 2682, 1516, 1015, 1013, 1016, 3796, 2013, 2593, 3158, 29470, 2030, 3519, 1010, 2247, 1037, 11996, 2008, 1521, 1055, 2172, 2205, 4867, 2005, 1037, 13204, 1012, 1996, 3663, 2006, 1996, 2225, 2217, 1997, 1996, 2276, 1010, 5738, 2013, 1996, 19751, 4190, 1997, 3361, 2173, 1029, 2023, 2217, 2038, 15262, 3229, 1010, 2021, 2045, 2003, 2053, 2276, 29404, 2127, 1996, 7764, 17447, 12322, 9307, 1010, 2379, 1996, 9686, 25015, 6591, 3491, 2012, 2157, 2917, 1012, 2058, 1996, 2197, 2321, 2086, 1010, 1045, 1521, 2310, 2018, 2195, 6441, 2008, 2018, 1037, 2350, 4254, 2006, 2026, 12969, 1998, 6551, 3445, 2026, 7073, 1997, 23661, 3314, 1012, 2108, 2006, 13675, 4904, 8376, 2349, 2000, 1037, 11867, 27361, 10792, 2030, 6181, 5970, 9005, 1037, 2844, 4792, 2000, 18478, 3604, 3292, 1998, 4254, 2006, 1996, 2303, 2061, 2008, 2115, 2303, 2987, 1521, 1056, 2448, 2041, 1997, 5492, 2077, 2017, 3362, 2115, 7688, 2030, 1037, 2173, 2073, 2017, 2064, 4133, 2091, 1998, 2717, 1012, 2045, 2024, 2261, 2477, 2062, 9841, 14644, 6528, 2075, 2084, 2383, 2000, 2175, 2000, 2019, 16261, 2173, 2043, 2017, 1521, 2128, 5458, 1998, 1999, 3255, 1010, 2059, 4531, 2008, 2017, 1521, 2310, 1015, 1013, 1016, 3796, 2030, 2062, 1999, 1996, 3308, 3257, 2349, 2000, 4394, 1010, 5023, 2030, 22369, 29404, 1012, 3229, 13276, 2013, 3361, 2173, 1012, 2045, 2003, 2053, 2276, 29404, 2182, 1012, 3361, 2173, 3921, 1516, 2053, 2276, 29404, 2127, 7764, 17447, 12322, 9307, 2012, 2187, 1997, 5108, 1010, 1037, 2431, 3796, 2264, 1997, 13730, 2006, 3361, 2173, 1010, 3053, 1015, 3796, 2148, 1997, 3158, 29470, 2395, 1012, 1037, 2047, 6970, 5302, 9305, 4957, 2001, 2441, 2012, 3361, 2173, 1998, 3519, 1999, 2991, 2249, 1010, 4526, 2019, 6082, 4434, 2000, 14931, 2050, 7793, 1012, 6970, 5302, 9305, 4957, 7021, 2013, 4132, 1012, 1996, 5108, 2599, 2091, 2000, 3519, 12602, 1012, 17312, 2099, 6415, 7561, 1024, 2655, 2000, 4653, 6302, 1005, 27671, 2620, 17465, 21619, 24594, 1033, 1005, 3478, 1012, 7561, 2110, 4076, 1024, 1011, 28093, 1024, 8246, 1011, 3642, 1024, 1015, 1011, 4471, 1024, 6302, 2025, 2179, 3902, 2644, 2006, 3361, 2173, 1010, 2559, 2148, 2013, 3519, 12602, 1012, 1996, 2630, 2240, 4434, 2003, 2036, 6082, 1010, 2065, 2017, 2113, 2129, 2000, 2131, 2000, 1998, 2013, 1996, 5869, 24164, 2630, 2240, 2276, 1012, 29404, 11073, 2003, 4895, 16846, 2483, 21450, 1010, 2437, 2023, 19957, 2881, 6970, 5302, 9305, 4957, 2625, 4621, 2084, 2009, 2071, 2022, 2005, 3087, 2040, 3475, 1521, 1056, 2525, 5220, 2007, 2009, 1012, 2065, 29404, 2005, 1996, 2630, 2240, 4434, 2001, 7448, 2000, 2240, 1011, 1997, 1011, 4356, 5269, 1998, 1037, 2235, 3815, 1997, 2047, 1010, 2488, 1011, 2872, 29404, 2001, 2794, 1010, 1996, 2047, 6970, 5302, 9305, 4957, 2071, 3073, 1037, 3278, 7620, 2005, 2216, 2040, 2342, 2009, 1010, 2164, 5467, 2040, 4536, 2777, 2527, 2000, 7532, 2000, 1996, 2630, 2240, 2000, 1051, 1521, 14263, 1012, 2009, 11027, 2015, 1996, 2342, 2000, 3328, 8576, 2039, 1996, 4278, 3796, 1997, 5869, 24164, 1010, 2059, 3313, 2067, 2408, 3519, 1010, 5378, 7713, 2013, 1996, 4633, 2005, 2087, 1997, 1996, 4434, 1012, 6595, 2006, 1996, 2148, 2217, 1997, 3519, 2460, 6132, 1996, 3328, 1010, 2029, 2003, 2036, 14044, 2065, 2017, 1521, 2128, 3788, 2000, 1996, 2148, 7077, 2030, 23557, 5216, 1012, 2009, 24840, 1996, 10238, 1997, 2108, 2583, 2000, 2131, 2000, 1037, 2600, 2479, 2212, 3345, 2006, 2051, 2612, 1997, 4394, 2009, 1012, 9105, 1037, 3345, 2003, 2926, 4187, 1999, 2125, 1011, 4672, 9109, 2043, 2326, 2003, 2012, 1015, 2030, 1016, 3178, 14025, 1010, 1998, 2043, 2330, 3765, 2006, 1996, 3345, 2024, 2788, 2875, 1996, 2148, 1006, 2521, 1007, 2203, 1997, 1996, 4132, 1010, 2582, 2013, 2276, 18084, 1012, 1996, 2630, 2240, 4434, 2038, 29404, 3314, 2012, 2119, 4515, 1012, 1996, 7764, 2012, 1996, 2047, 2777, 2527, 1011, 14931, 2050, 6970, 5302, 9305, 4957, 3310, 2091, 2000, 11996, 2504, 2006, 3519, 1010, 2021, 1996, 3696, 2011, 1996, 7764, 2003, 1037, 2978, 1997, 1037, 18381, 1012, 2348, 1996, 7793, 2024, 3929, 7801, 1010, 1996, 5869, 24164, 1011, 3519, 2630, 2240, 2276, 2003, 2025, 1012, 5467, 16261, 2007, 1996, 2630, 2240, 2276, 2089, 7868, 2013, 1996, 3696, 2008, 1996, 2276, 2003, 7801, 1010, 2059, 7523, 2008, 1996, 7205, 7801, 2276, 2003, 1037, 2261, 5991, 2582, 2185, 2012, 4027, 1998, 2110, 1012, 14931, 2050, 2630, 2240, 3696, 1999, 7764, 2632, 3597, 3726, 2012, 2777, 2527, 4132, 2504, 1012, 2065, 2017, 2202, 1996, 5108, 2612, 1997, 1996, 7764, 1010, 3193, 1997, 1996, 20396, 29404, 2003, 23649, 2011, 1037, 7497, 15083, 1998, 4412, 2490, 1012, 2009, 1521, 1055, 2092, 2682, 3239, 2504, 1010, 2025, 5710, 2013, 1996, 5108, 1012, 14931, 2050, 29404, 1516, 6970, 5302, 9305, 4957, 1010, 2395, 2504, 1012, 2009, 1521, 1055, 2200, 3733, 2000, 3335, 2023, 3696, 1999, 1996, 7764, 2632, 3597, 3726, 2247, 3519, 4983, 2017, 1521, 2128, 3788, 2379, 1996, 13730, 1012, 2009, 2052, 2022, 2062, 5710, 2065, 2872, 2000, 1996, 2187, 1997, 2049, 2783, 3295, 1012, 14931, 2050, 2630, 2240, 3696, 1999, 7764, 2632, 3597, 3726, 2006, 3519, 12602, 2264, 1997, 3361, 2173, 1012, 2012, 1996, 2630, 2240, 2276, 1010, 2214, 29404, 2012, 1996, 2033, 20715, 19105, 2504, 2006, 1996, 2167, 2217, 1997, 3519, 12602, 7127, 1996, 2214, 2167, 1011, 2148, 4434, 2000, 5869, 24164, 2395, 2276, 1012, 1996, 2214, 4434, 2003, 2145, 2019, 2800, 5724, 1010, 2021, 2009, 1521, 1055, 2936, 1012, 5869, 24164, 2630, 2240, 1010, 2033, 20715, 19105, 2504, 1010, 2167, 2217, 1012, 2053, 29404, 2038, 2042, 2794, 2000, 5769, 1996, 2047, 1010, 2062, 3622, 1010, 6970, 5302, 9305, 4957, 1012, 2019, 27885, 8043, 18941, 1010, 8025, 2711, 3788, 2225, 2006, 3519, 2453, 5060, 1996, 4957, 2074, 2077, 3361, 2173, 1012, 14931, 2050, 1998, 2777, 2527, 29404, 2012, 6970, 5302, 9305, 4957, 2000, 2148, 1997, 11996, 1010, 2148, 2217, 1997, 3519, 2090, 2777, 2527, 2276, 1998, 3361, 2173, 1012, 2045, 2003, 2053, 4089, 2464, 29404, 2000, 3622, 24946, 3788, 2225, 2006, 3519, 12602, 2875, 1996, 2777, 2527, 2276, 1012, 1996, 2276, 1521, 1055, 10124, 1010, 9996, 2872, 29404, 2006, 2035, 3903, 5836, 2439, 6695, 1998, 2439, 27092, 1012, 2006, 2062, 2084, 2028, 6686, 1010, 1045, 2031, 2445, 6851, 7826, 2000, 2111, 2040, 2359, 2000, 4536, 1996, 2600, 2479, 1012, 2043, 2027, 2387, 2053, 29404, 2000, 12210, 2008, 2027, 2020, 5825, 1999, 1996, 2157, 3257, 1010, 2027, 2411, 2165, 3308, 4332, 1006, 2030, 2357, 2067, 2138, 2027, 2245, 2027, 1521, 1040, 2579, 3308, 4332, 1007, 1998, 2288, 2046, 1996, 2276, 2397, 2438, 2000, 3335, 1996, 3345, 1025, 3944, 1998, 5353, 4499, 2448, 2069, 2296, 1015, 2030, 1016, 2847, 1012, 2823, 2027, 2253, 2000, 1996, 2417, 2240, 1998, 3369, 2101, 1012, 2823, 2027, 9235, 2019, 1045, 1011, 2175, 2482, 2379, 1996, 2276, 2030, 2253, 2188, 2000, 2131, 2037, 3765, 1012, 2823, 2008, 4771, 3345, 2001, 2438, 2000, 2562, 2068, 2013, 2437, 1996, 4440, 1999, 1996, 2051, 2027, 2018, 2800, 1012, 5815, 1037, 2630, 1998, 2317, 2777, 2527, 20396, 3696, 2012, 3239, 2504, 2012, 2169, 6840, 2105, 1996, 2276, 2071, 6551, 5335, 3229, 2000, 2023, 2276, 1998, 3623, 8195, 5605, 2065, 8138, 8195, 2064, 2855, 1998, 4089, 2424, 1996, 2276, 1998, 2131, 2006, 1037, 3345, 2612, 1997, 18313, 2051, 6575, 2005, 2009, 1012, 2488, 29404, 2052, 2036, 5335, 1996, 7945, 3325, 2005, 3087, 2007, 1037, 3788, 11980, 1012, 8370, 3190, 2003, 1037, 9927, 2055, 9084, 5193, 5609, 1010, 3934, 1998, 3226, 1999, 3190, 1998, 4307, 1010, 2011, 2198, 26713, 1998, 7112, 16672, 2144, 2238, 2249, 1012, 1011, 8370, 3190, 2003, 9083, 1012, 2272, 3693, 2149, 2012, 4534, 16558, 8649, 3190, 999, 1011, 2058, 1037, 8460, 1024, 2339, 2003, 2103, 2534, 19820, 2075, 15749, 9047, 2013, 4082, 1029, 1011, 25136, 2075, 2167, 3927, 2000, 2488, 3710, 2049, 3800, 1024, 6023, 1011, 2651, 1521, 1055, 19377, 1011, 2062, 2013, 25532, 1024, 18977, 21360, 17815, 7566, 9612, 1010, 7997, 6631, 1011, 2279, 2148, 5370, 18977, 2442, 7818, 1998, 4047, 4493, 6671, 1011, 2651, 1521, 1055, 19377, 1011, 6653, 2933, 1024, 2057, 1521, 2128, 2437, 1996, 2693, 2000, 4534, 16558, 8649, 3190, 999, 1011, 2810, 10651, 1024, 4027, 17698, 2098, 7997, 4644, 5361, 2044, 1015, 1012, 1019, 2095, 8536, 1011, 2651, 1521, 1055, 19377, 2530, 1004, 24346, 7987, 2102, 1024, 4013, 2015, 1998, 9530, 2015, 1011, 2023, 4773, 13704, 7680, 7849, 10057, 1996, 2622, 4751, 1998, 5577, 1996, 4013, 2015, 1998, 9530, 2015, 2005, 2169, 1997, 1996, 1018, 3902, 5915, 6671, 16820, 5823, 9445, 1011, 11131, 7997, 19119, 1999, 1996, 2103, 1997, 3190, 1998, 6974, 7997, 2325, 2933, 27080, 1011, 8822, 1996, 3570, 1997, 14972, 1996, 16710, 9942, 1999, 1996, 7997, 2325, 2933, 3190, 7997, 4949, 10439, 1011, 4287, 1037, 3376, 3190, 7997, 4949, 2006, 2115, 18059, 1010, 25249, 1010, 2030, 26322, 3543, 1010, 2247, 2007, 3365, 1010, 14044, 2685, 1997, 3037, 1998, 4219, 9002, 2115, 7760, 2000, 2256, 17312, 2099, 2177, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1001, 2184, 3448, 6627, 1030, 1001, 2322, 4108, 6627, 1024, 2694, 6325, 1024, 10978, 1022, 9737, 9432, 2305, 7136, 2240, 1024, 28879, 2003, 1037, 1016, 2391, 3098, 2240, 5440, 28879, 2003, 1037, 1015, 1024, 1015, 1012, 2459, 5440, 1010, 14181, 2003, 1037, 3760, 5440, 2012, 1015, 1024, 1015, 1012, 6021, 2004, 2017, 2064, 24250, 2156, 1999, 1996, 1037, 1012, 1039, 1012, 1039, 1012, 11869, 3673, 2058, 2006, 1996, 2157, 1025, 3448, 6627, 7711, 2049, 2219, 10461, 1012, 3786, 4108, 6627, 2023, 9432, 2305, 2091, 1999, 1996, 2012, 2140, 1010, 1998, 2059, 3786, 7570, 2080, 1011, 12436, 2039, 1999, 3000, 2006, 2281, 1996, 14935, 1998, 2130, 1037, 1020, 1011, 1016, 3448, 6627, 2052, 2145, 3926, 2053, 2625, 2084, 2028, 2208, 2039, 2006, 3071, 2842, 1999, 1996, 5780, 2407, 11869, 1012, 2663, 2041, 1998, 2012, 1021, 1011, 1015, 1999, 1996, 1037, 1012, 1039, 1012, 1039, 1012, 1998, 3448, 6627, 2052, 6271, 1996, 5780, 2971, 2157, 24955, 1996, 4448, 3023, 2300, 1012, 2174, 1010, 2635, 2019, 1048, 2091, 1999, 1996, 2012, 2140, 2052, 4530, 28879, 2046, 1037, 2093, 1011, 2126, 5495, 2007, 4108, 6627, 1010, 1998, 2605, 2005, 2034, 2173, 1999, 1996, 1037, 1012, 1039, 1012, 1039, 1012, 5780, 1999, 1996, 2035, 2590, 1048, 5930, 1010, 1998, 2028, 5495, 21204, 1006, 1045, 1012, 1041, 1012, 14181, 1521, 1055, 1007, 2052, 2025, 5684, 1996, 7570, 11602, 2015, 2709, 2000, 5904, 2043, 2579, 2132, 1011, 2000, 1011, 2132, 1012, 2008, 1521, 1055, 2054, 1521, 1055, 2012, 8406, 12455, 1998, 1996, 2466, 3210, 5738, 2023, 2028, 2024, 9706, 16136, 2100, 1024, 1011, 2129, 2172, 2062, 3786, 1011, 2039, 2064, 13007, 5507, 2063, 4298, 2022, 2077, 13007, 5507, 2063, 2633, 25316, 2041, 1029, 1011, 2029, 3639, 1010, 8040, 28433, 25084, 4092, 1010, 2097, 13007, 5507, 2063, 21296, 5443, 1012, 1996, 23951, 14417, 1997, 4108, 6627, 1029, 1011, 2064, 1996, 7570, 11602, 10048, 4125, 2000, 1996, 6686, 1998, 2491, 1996, 2208, 1010, 2030, 2672, 2130, 2663, 1037, 18297, 2323, 1996, 17289, 13007, 5507, 2063, 2633, 2448, 4318, 1029, 1011, 2097, 1996, 2613, 4108, 6627, 3531, 3233, 2039, 1010, 3531, 3233, 2039, 1029, 2003, 2023, 1996, 1020, 1011, 14101, 2161, 3098, 4108, 6627, 2008, 3123, 2035, 1996, 2126, 2000, 5940, 1999, 2119, 2120, 14592, 2007, 1037, 9033, 20838, 2980, 5805, 2886, 1029, 2003, 2023, 1996, 7065, 18400, 3550, 2544, 1997, 1996, 23277, 3286, 9709, 12006, 2040, 2074, 3786, 1001, 1019, 1047, 16930, 4523, 2239, 2861, 1011, 2459, 2012, 2188, 1029, 2030, 2003, 2023, 1996, 11865, 3654, 5831, 6789, 1997, 4108, 6627, 2040, 3728, 2001, 7854, 2012, 2605, 1998, 6135, 20482, 2041, 2012, 5631, 1029, 1011, 1998, 2821, 2011, 1996, 2126, 1010, 2023, 2028, 2087, 3497, 16463, 1996, 5780, 2407, 3453, 1516, 2106, 1045, 5254, 1996, 5780, 2407, 3453, 2664, 1029, 8038, 2232, 1025, 2023, 2028, 2003, 2502, 2035, 2157, 1025, 2055, 2004, 2502, 2004, 2027, 2272, 1999, 1011, 2161, 1999, 1037, 1012, 1039, 1012, 1039, 1012, 3408, 2090, 2048, 2374, 2780, 2040, 2123, 1521, 1056, 3599, 2066, 2169, 2060, 2006, 2327, 1997, 2673, 2842, 1012, 2748, 29481, 4402, 1010, 2023, 2028, 2003, 1996, 5221, 2283, 1997, 1996, 2095, 1998, 1045, 2876, 1521, 1056, 3335, 2009, 2005, 1996, 2088, 1012, 2069, 2518, 2003, 1529, 2040, 2097, 2663, 1029, 2008, 2025, 2438, 2005, 2017, 1029, 1011, 2129, 2116, 7570, 11602, 2015, 2097, 2131, 24881, 2091, 2000, 2946, 1010, 10142, 2030, 4728, 1999, 2023, 2028, 1029, 1011, 2129, 2146, 2127, 7960, 2391, 1034, 1001, 1015, 1034, 5366, 6261, 2050, 6627, 1037, 5600, 6181, 2030, 5042, 1029, 1011, 2006, 1037, 4094, 1997, 2028, 1011, 15579, 2000, 4228, 1011, 11721, 5831, 6894, 2239, 1999, 16294, 6447, 1010, 2129, 20673, 2559, 2097, 22330, 20770, 3557, 1010, 9413, 12171, 12171, 12171, 12171, 12171, 2099, 1010, 6289, 23644, 23644, 23644, 1010, 1045, 2812, 2873, 2703, 3779, 2298, 2058, 2006, 1996, 4108, 6627, 2217, 12735, 1029, 1011, 2129, 2172, 5492, 2097, 2017, 2156, 2746, 24955, 2873, 6469, 1521, 1055, 5551, 2065, 2010, 14332, 26077, 2320, 2153, 2667, 2000, 4030, 2091, 2010, 1015, 1011, 6578, 5600, 2291, 1998, 11463, 2094, 2009, 2046, 1037, 2644, 1011, 3131, 5214, 1997, 2652, 8775, 2374, 5443, 1012, 1996, 2172, 3608, 2100, 6806, 29099, 23951, 14417, 1997, 4108, 6627, 1029, 1011, 2054, 6433, 1010, 7419, 6014, 27206, 1010, 2065, 2703, 3779, 2515, 4608, 1037, 22595, 13007, 5507, 2063, 11807, 2091, 2104, 1996, 12073, 1997, 2010, 9573, 1010, 1998, 7288, 2000, 5926, 3448, 6627, 2204, 1998, 2524, 1029, 8038, 2232, 1025, 2045, 2003, 1037, 2878, 3109, 2226, 3567, 1037, 2843, 2183, 2006, 1999, 2023, 2028, 2273, 1012, 1045, 2123, 1521, 1056, 2113, 2055, 2017, 1010, 2295, 2026, 1051, 1004, 1049, 2668, 2003, 2525, 8577, 2004, 9432, 9152, 2618, 2064, 2025, 4298, 2131, 2182, 2574, 2438, 999, 1011, 2028, 1012, 2004, 1999, 14181, 2003, 1001, 1015, 1999, 2353, 1011, 2091, 7584, 1999, 2035, 1997, 1040, 1011, 1015, 2374, 1006, 2012, 5388, 1003, 1007, 999, 1011, 2048, 1012, 3574, 1010, 28879, 2003, 2484, 1011, 1016, 3452, 1999, 2049, 2197, 2656, 2281, 2374, 2399, 1012, 1011, 1056, 10258, 1012, 1017, 4144, 2008, 2425, 2017, 2008, 14181, 2003, 4985, 2190, 1999, 10455, 2005, 1037, 3279, 3039, 1516, 2019, 6429, 28093, 2043, 2017, 5136, 2008, 14181, 2038, 3344, 1996, 3608, 3822, 2087, 1999, 2035, 1997, 1040, 1011, 1015, 2374, 2157, 2085, 1012, 1011, 2176, 1011, 3634, 1012, 28879, 2525, 15646, 2698, 2399, 1999, 2029, 1996, 28879, 10048, 2038, 4227, 4278, 1009, 4210, 2023, 2161, 1012, 1006, 6781, 1024, 2009, 2038, 2025, 2579, 2062, 2084, 2484, 2685, 2000, 3786, 2593, 6627, 2023, 2095, 1007, 1011, 2274, 1012, 2004, 1999, 14181, 2003, 1019, 1011, 2821, 2012, 2188, 1010, 1998, 28879, 2003, 2340, 1998, 1523, 2821, 1524, 2006, 1996, 2346, 2144, 2268, 1012, 1996, 2197, 2136, 2000, 3786, 1037, 5873, 28879, 1029, 9805, 2361, 1025, 11721, 2232, 1012, 6627, 1012, 1006, 6781, 1024, 14181, 2038, 2209, 1019, 8840, 4523, 14097, 2399, 2787, 2011, 2676, 1009, 2685, 2023, 2161, 1007, 1011, 2416, 1012, 2004, 1999, 13007, 5507, 2063, 2038, 2069, 2625, 6675, 2011, 1037, 26233, 1020, 2440, 4210, 1997, 2561, 3639, 2006, 2779, 1999, 2037, 2197, 2093, 2399, 1012, 1037, 26233, 28093, 2043, 2017, 5136, 2008, 13007, 5507, 2063, 2038, 2042, 2091, 2004, 2116, 2004, 1020, 5600, 29400, 2058, 1996, 2168, 2051, 4853, 999, 1011, 10920, 1011, 2274, 1012, 18975, 2121, 1049, 1012, 29182, 6806, 6299, 1998, 2010, 16012, 8713, 4190, 2085, 2907, 1996, 2082, 4555, 18975, 2501, 1997, 4293, 4210, 1012, 1011, 2809, 1012, 14181, 2038, 1037, 2568, 1011, 22132, 18483, 2809, 14595, 9297, 1997, 2028, 2309, 2377, 2525, 2023, 2095, 999, 1011, 3157, 1012, 2004, 1999, 1023, 2367, 7570, 11602, 2015, 2031, 3856, 1037, 3413, 2125, 2005, 2019, 20014, 2023, 2161, 999, 1011, 2184, 1012, 3574, 1996, 1051, 1521, 11557, 2599, 28879, 10048, 2525, 2038, 2053, 2625, 2084, 2184, 5805, 9297, 2005, 7644, 2008, 2031, 3139, 3770, 4210, 2030, 2062, 1012, 1006, 6781, 1024, 2053, 28879, 7116, 2038, 3195, 2062, 2084, 2184, 2685, 1999, 1996, 2034, 1011, 2431, 2006, 28879, 2035, 2095, 2146, 1007, 4108, 6627, 10048, 1024, 23951, 14417, 1006, 1021, 29400, 2067, 1007, 2873, 2703, 3779, 1521, 1055, 20228, 12722, 2100, 23951, 14417, 10048, 2003, 1037, 24529, 2140, 1012, 4012, 2972, 3720, 1010, 2065, 2025, 3383, 1037, 2186, 1997, 4790, 13994, 1999, 1998, 1997, 2993, 1012, 2092, 1010, 2012, 2560, 2009, 2052, 2022, 2065, 2626, 2005, 14181, 14540, 1012, 4012, 2030, 4108, 15007, 7363, 4179, 1012, 4012, 1012, 2085, 17180, 4426, 1010, 2004, 2057, 2024, 6069, 2191, 1996, 5376, 3495, 2000, 23760, 13102, 13089, 1998, 5926, 2707, 1996, 10144, 11684, 2204, 1998, 2524, 1998, 3046, 2000, 2012, 2560, 7324, 2091, 1037, 2261, 23951, 14417, 24078, 1012, 1999, 2049, 2087, 1010, 2092, 1010, 6827, 15715, 1010, 1996, 23951, 14417, 2038, 1017, 3248, 2566, 2217, 1998, 2028, 7901, 2369, 2008, 2119, 2187, 1998, 2157, 1012, 9131, 2008, 1999, 2214, 1011, 2082, 23718, 2008, 5976, 2003, 2187, 1010, 1998, 2008, 2157, 2003, 2130, 1012, 2029, 3957, 2017, 1996, 4732, 16403, 2008, 1045, 2031, 2443, 2917, 2005, 23219, 5682, 1025, 2187, 1027, 5976, 1010, 2157, 1027, 2130, 2004, 1996, 2214, 1011, 2082, 4920, 15200, 2291, 3632, 1010, 2004, 2512, 4181, 20936, 9323, 1037, 1011, 16680, 2074, 2097, 2025, 2079, 2005, 2023, 4766, 14924, 4818, 2298, 2012, 1996, 23951, 14417, 1012, 1011, 1038, 1011, 2067, 1006, 2030, 1042, 2497, 1007, 1027, 1016, 1011, 2187, 1011, 2217, 1037, 1011, 2067, 1027, 1017, 1011, 2157, 1011, 2217, 1037, 1011, 2067, 1027, 1018, 1011, 2157, 1011, 2217, 23277, 1027, 1020, 1006, 2187, 2052, 1027, 1021, 1007, 2087, 1997, 1996, 2051, 1010, 2000, 4088, 1037, 2208, 1010, 2017, 2097, 2156, 1996, 7579, 2202, 4338, 2083, 2593, 1037, 1011, 6578, 2090, 1006, 2013, 2187, 1011, 2000, 1011, 2157, 1007, 1996, 1043, 1011, 1039, 2030, 2090, 1996, 1039, 1011, 1043, 1037, 1011, 16680, 1010, 2023, 2573, 2041, 2000, 2812, 1996, 1043, 1011, 1006, 1015, 11484, 1007, 1011, 1039, 2006, 1996, 2187, 1010, 2030, 1996, 1039, 1011, 1006, 1016, 11484, 1007, 1011, 1043, 2006, 1996, 2157, 1012, 6516, 2017, 3322, 2131, 1996, 2538, 1011, 7579, 2000, 1996, 1038, 1011, 2067, 2000, 1996, 2187, 2030, 1996, 2570, 1011, 7579, 2000, 1996, 1038, 1011, 2067, 2000, 1996, 2157, 1012, 2174, 1010, 2004, 2057, 2031, 2464, 3243, 1037, 2978, 1999, 1996, 2627, 24955, 6498, 24524, 16313, 2102, 1010, 1998, 2182, 1998, 2045, 24955, 2899, 1999, 2010, 2197, 2260, 2399, 1010, 2017, 2064, 2036, 2031, 1037, 7579, 1011, 10684, 2448, 2073, 1996, 26171, 16390, 2015, 2005, 1037, 3975, 1011, 2117, 1998, 2059, 4076, 1996, 1038, 1011, 2067, 2040, 4150, 1996, 26171, 1521, 1055, 2599, 3796, 2121, 2157, 2006, 2039, 2083, 1996, 1015, 11484, 2000, 1996, 2187, 2030, 1996, 1016, 11484, 2000, 1996, 2157, 1012, 6516, 2017, 2064, 2036, 3322, 2131, 2340, 1011, 10684, 2030, 2260, 1011, 10684, 1010, 5834, 2588, 2129, 1996, 26171, 9631, 1996, 12835, 2030, 26718, 7541, 2000, 1996, 2415, 1012, 2044, 2008, 2017, 2064, 2693, 1996, 7579, 2875, 1996, 2187, 2030, 2157, 2217, 4179, 2046, 2151, 6578, 2030, 2046, 2151, 4920, 2008, 2017, 2061, 3531, 1012, 2478, 1996, 2157, 2217, 1010, 2017, 2071, 2031, 2484, 1011, 7579, 1010, 2656, 1011, 7579, 1010, 2030, 2672, 2130, 2654, 1011, 7579, 1012, 2348, 2087, 7850, 2069, 2224, 1996, 2034, 2048, 16680, 1024, 1996, 1037, 1998, 1996, 1038, 1011, 6578, 2005, 2037, 8824, 7579, 2377, 1010, 2017, 2064, 2224, 2296, 2309, 6578, 2030, 4920, 2008, 2045, 2003, 2065, 2017, 2024, 2061, 13050, 1012, 2192, 1011, 1050, 1011, 2192, 2007, 2035, 2216, 7579, 2192, 27475, 2000, 1996, 1038, 1011, 2067, 1006, 2030, 1996, 21803, 1007, 2003, 1996, 10684, 2157, 2369, 1996, 1038, 1011, 2067, 2040, 2003, 2085, 1996, 2599, 1011, 3796, 2121, 1010, 9413, 3995, 2017, 2036, 2131, 1024, 2403, 1011, 10684, 1010, 2385, 1011, 10684, 1010, 2030, 2672, 2130, 1037, 2324, 1011, 10684, 1012, 2008, 1521, 1055, 1996, 2034, 5724, 3139, 1999, 2561, 3012, 2000, 1996, 2157, 2217, 1012, 2017, 2031, 1996, 2200, 2168, 7047, 3048, 2000, 1996, 2187, 2217, 1012, 8419, 1024, 2538, 1011, 7579, 1010, 2603, 1011, 7579, 1010, 2423, 1011, 7579, 1010, 2676, 1011, 7579, 1998, 2296, 2309, 3378, 26171, 10684, 1024, 2340, 1011, 10684, 1010, 2410, 1011, 10684, 1010, 2321, 1011, 10684, 1998, 2459, 1011, 10684, 1012, 2085, 2057, 7367, 9077, 2046, 1996, 2117, 5724, 1010, 2029, 8990, 2467, 4269, 2007, 1996, 26171, 9436, 4667, 1996, 1042, 2497, 2007, 1996, 2374, 1999, 2010, 1010, 2092, 1010, 7579, 2030, 9535, 1010, 2006, 1996, 20437, 2077, 1996, 26171, 3402, 9631, 1996, 26718, 2030, 12835, 1998, 8005, 1996, 2374, 2041, 1998, 4641, 2187, 1006, 2030, 5976, 1007, 2030, 2157, 1006, 2030, 2130, 1007, 2091, 1996, 2240, 1011, 1997, 1011, 8040, 20026, 26860, 2000, 9280, 2562, 2030, 6510, 1996, 3608, 2000, 1037, 2445, 1038, 1011, 2067, 2030, 2054, 2057, 2109, 2000, 2655, 1037, 3358, 5963, 1012, 2069, 15973, 22652, 2182, 2003, 2008, 2017, 11027, 1996, 3988, 7579, 6578, 2030, 4920, 1998, 2693, 1996, 2117, 1011, 5724, 2012, 2560, 2028, 1006, 2823, 2062, 1007, 16680, 2030, 8198, 2582, 2648, 2875, 1996, 2445, 2217, 4179, 1012, 9413, 3995, 1010, 3048, 2875, 1996, 2157, 1010, 1998, 3653, 17421, 2075, 1996, 7579, 2003, 2448, 2046, 1996, 1037, 1011, 6578, 2000, 4088, 2007, 1006, 2029, 11027, 2015, 1996, 1037, 1011, 6578, 2993, 1007, 2017, 2064, 2131, 1024, 4008, 1011, 6510, 1010, 4805, 1011, 6510, 1998, 4466, 1011, 6510, 1010, 2007, 1996, 3378, 26171, 10684, 3248, 1997, 1024, 2403, 1011, 10684, 1010, 2385, 1011, 10684, 1998, 2035, 1996, 2126, 2000, 1996, 2157, 1011, 2217, 3341, 2007, 1996, 2324, 1011, 10684, 1012, 4562, 1999, 2568, 2008, 1996, 26171, 4050, 9631, 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, 5307, 1996, 10807, 7656, 1024, 3519, 1005, 2279, 24419, 1999, 2285, 1010, 3519, 2003, 22303, 2005, 2178, 24419, 2006, 1996, 15074, 1998, 7773, 1012, 2065, 3519, 2987, 1005, 1056, 2552, 1010, 2286, 2097, 2928, 1996, 2203, 2000, 5747, 1011, 3690, 4171, 7659, 2008, 2031, 2042, 1999, 2173, 2005, 1037, 6474, 2086, 1010, 1998, 1996, 2927, 1997, 6882, 7659, 2000, 4968, 1998, 3639, 3454, 2008, 2052, 2561, 1002, 1015, 1012, 1016, 23458, 2058, 2184, 2086, 1012, 1996, 7740, 5166, 2436, 2758, 1996, 5257, 1997, 3020, 7773, 1998, 2784, 5938, 7659, 2071, 3443, 1037, 1018, 3867, 7312, 1999, 3171, 6434, 1010, 1037, 2193, 2502, 2438, 2000, 5466, 1996, 2406, 2046, 2178, 19396, 1012, 1996, 12731, 13728, 12758, 1997, 3020, 7773, 1998, 5938, 7659, 2003, 2108, 2170, 1996, 1000, 10807, 7656, 1012, 1000, 2585, 14008, 11246, 9794, 4840, 2250, 1005, 1055, 6609, 7977, 2000, 2831, 2055, 2129, 1996, 2976, 5166, 2288, 2000, 2023, 2391, 1998, 1996, 4084, 3519, 2071, 2202, 2000, 4139, 1996, 3842, 2067, 2013, 1996, 10807, 7656, 1012, 14008, 11246, 6732, 2045, 2003, 1037, 8050, 4489, 2090, 1996, 2048, 4243, 1000, 2055, 2129, 2590, 1998, 2129, 2502, 1037, 2535, 1996, 2231, 2323, 2377, 1999, 2256, 4610, 1998, 2008, 8092, 2054, 2017, 2228, 2323, 2022, 2589, 2000, 9526, 1996, 15074, 1012, 1000, 14008, 11246, 7164, 2028, 13433, 18719, 14454, 3723, 2005, 12014, 2003, 2000, 2173, 1000, 3492, 7823, 28054, 2006, 5938, 1010, 2006, 5770, 3454, 1010, 2066, 27615, 1998, 19960, 5555, 3593, 1010, 2029, 2052, 2022, 2524, 2005, 1996, 8037, 2000, 10577, 1010, 11211, 2007, 2070, 3623, 1999, 7773, 1010, 2008, 2052, 2022, 2524, 2005, 1996, 10643, 2000, 10577, 1012, 1000, 2585, 14008, 11246, 2003, 1037, 4882, 13317, 1998, 5543, 3559, 2005, 1996, 2813, 2395, 3485, 1998, 7009, 1996, 3007, 5930, 1012, 2010, 3025, 2338, 1010, 1999, 7349, 2057, 3404, 1010, 9519, 2094, 7349, 3472, 6425, 16595, 2319, 3489, 1005, 1055, 3433, 2000, 1996, 3795, 3171, 5325, 1997, 2263, 1012, 2010, 2047, 2338, 2003, 2417, 10710, 1024, 2503, 1996, 2152, 7533, 4331, 1997, 1996, 2976, 5166, 1012, 2006, 1996, 3639, 5166, 1000, 1045, 2228, 2028, 1997, 1996, 5875, 2477, 2008, 1005, 1055, 3047, 1999, 2899, 1999, 1996, 2197, 2261, 2086, 2003, 2008, 1037, 2843, 1997, 1996, 11992, 2024, 2927, 2000, 4687, 2055, 2129, 2172, 2769, 2057, 2323, 5247, 2006, 3639, 1012, 2009, 1005, 1055, 2025, 1037, 3722, 4314, 1011, 4603, 3975, 4902, 1012, 1998, 1045, 8343, 2008, 2750, 10210, 2102, 19615, 1005, 1055, 10659, 2055, 4852, 1996, 3639, 5166, 1010, 2130, 2065, 2002, 1005, 1055, 2700, 1010, 2057, 1005, 2222, 2156, 2070, 5729, 3778, 2006, 2129, 2172, 2079, 2057, 2428, 2342, 2000, 5247, 2006, 3639, 1012, 1000, 2006, 4171, 6165, 1000, 2028, 3114, 2339, 4171, 6165, 2024, 2073, 2027, 2024, 2003, 2138, 2057, 2031, 2122, 6293, 2121, 3976, 4171, 6165, 1999, 1996, 4171, 3642, 1998, 2059, 2057, 2031, 1037, 4171, 3642, 2008, 2003, 2440, 1997, 8198, 1010, 2066, 1037, 3538, 1997, 5364, 8808, 1012, 1012, 1012, 1998, 2054, 1037, 2843, 1997, 2111, 2024, 3038, 2003, 2009, 1005, 1055, 2183, 2000, 2022, 2200, 2524, 2000, 5333, 4171, 6165, 2021, 2057, 2031, 2000, 5333, 2769, 2013, 1996, 4171, 3642, 1012, 2092, 2129, 2064, 2057, 2079, 2008, 1029, 1996, 2126, 2000, 2079, 2009, 2003, 2000, 2031, 8491, 2139, 16256, 2015, 1010, 7077, 19990, 1010, 6495, 1010, 2122, 2477, 2008, 2024, 10468, 21762, 1012, 1012, 1012, 2027, 1005, 2128, 2471, 2066, 5938, 1999, 14249, 2008, 2057, 2448, 2083, 1996, 4171, 3642, 2138, 2008, 1005, 1055, 2468, 1037, 10317, 6082, 2126, 2000, 2079, 2009, 1012, 2061, 3492, 2172, 7955, 1012, 1012, 1012, 2003, 2559, 2005, 3971, 2000, 5547, 1996, 3815, 1997, 2769, 2008, 1031, 3632, 2046, 1033, 2122, 1999, 12879, 8873, 23402, 3372, 7077, 19990, 1010, 6495, 1998, 2139, 16256, 2015, 1999, 1996, 4171, 3642, 1010, 2004, 1037, 2126, 2000, 2593, 2896, 4171, 6165, 2030, 5333, 2769, 2005, 1996, 2976, 2231, 1031, 2096, 1033, 2725, 2625, 7386, 2000, 1996, 4610, 1012, 2006, 2976, 2231, 5126, 1000, 1996, 2755, 2003, 2008, 1996, 2976, 2231, 13495, 1018, 1012, 1018, 2454, 2111, 1010, 2087, 1997, 2068, 1010, 2062, 2084, 2431, 2024, 2593, 6375, 2510, 5073, 1010, 2030, 2027, 1005, 2128, 9272, 2551, 2005, 1996, 3639, 2533, 2030, 10759, 3036, 1012, 2065, 2057, 5045, 2068, 2035, 1010, 7955, 1010, 1996, 2343, 1010, 1996, 3124, 2040, 1005, 1055, 3061, 1999, 2392, 1997, 1996, 7740, 2436, 2311, 2000, 2404, 2017, 2083, 1996, 3384, 19034, 1010, 2065, 2057, 5045, 2035, 1997, 2068, 2057, 1005, 1040, 3828, 2055, 1002, 24125, 4551, 6363, 1037, 2095, 1010, 2021, 1996, 15074, 2057, 2031, 2003, 2092, 2058, 1037, 23458, 6363, 1012, 2061, 1996, 3114, 2008, 2023, 2003, 3278, 2003, 2138, 2009, 1005, 1055, 1037, 2126, 2000, 3342, 2008, 1012, 1012, 1012, 2087, 1997, 1996, 2769, 2008, 3310, 2046, 1996, 2976, 2231, 3632, 2157, 2041, 2153, 1998, 2515, 2025, 2175, 2083, 1996, 3477, 5403, 10603, 1997, 2976, 5126, 1012, 1000, 6609, 7977, 1010, 3677, 1024, 2023, 2003, 4840, 2250, 1012, 1045, 1005, 1049, 6609, 7977, 1012, 2017, 2113, 2008, 10807, 7656, 2008, 2057, 1005, 2128, 5825, 2005, 1029, 2026, 4113, 2651, 2003, 2183, 2000, 4863, 2129, 2057, 2288, 2000, 2049, 3341, 1998, 2054, 1996, 8465, 2024, 2065, 2057, 2175, 2058, 2008, 7656, 2012, 1996, 2203, 1997, 1996, 2086, 1012, 2585, 14008, 11246, 2003, 1996, 3166, 1997, 1996, 2047, 2338, 1000, 2417, 10710, 1024, 2503, 1996, 2152, 1011, 7533, 4331, 1997, 1996, 2976, 5166, 1012, 1000, 2002, 1005, 1055, 1996, 5543, 3559, 1997, 1996, 2813, 2395, 3485, 1998, 7009, 1996, 3007, 5930, 1010, 1037, 4882, 2298, 2012, 1996, 4610, 1012, 2002, 4207, 2048, 17618, 11580, 1998, 2003, 1996, 3166, 1997, 1996, 3025, 2338, 1000, 1999, 7349, 2057, 3404, 1024, 3841, 16595, 2319, 3489, 1005, 1055, 2162, 2006, 1996, 2307, 6634, 1012, 1000, 14008, 11246, 2411, 16605, 3171, 4106, 2006, 21411, 1005, 1055, 2851, 3179, 1998, 1996, 13683, 2186, 1000, 2899, 2733, 1012, 1000, 2585, 14008, 11246, 1010, 6160, 2000, 4840, 2250, 1012, 2292, 1005, 1055, 2707, 2007, 2054, 2003, 1996, 10807, 7656, 1012, 1045, 2074, 2215, 2000, 2707, 2007, 2242, 2428, 3937, 2008, 1045, 2113, 2070, 2111, 2113, 1996, 24078, 1997, 2023, 1010, 2021, 2292, 1005, 1055, 2191, 2469, 7955, 19821, 2009, 2077, 2057, 2175, 2151, 2582, 1012, 2585, 14008, 11246, 1024, 2197, 2095, 1010, 3519, 1998, 1996, 2343, 4320, 1037, 5325, 1997, 11901, 1010, 1998, 1999, 2344, 2000, 2131, 2041, 1997, 1996, 5325, 1010, 2027, 8209, 1037, 3282, 1998, 4197, 2009, 2012, 1996, 2137, 4610, 1012, 1998, 1996, 10432, 1999, 1996, 3282, 2024, 2008, 4983, 3519, 1998, 1996, 2343, 2272, 2039, 2007, 2070, 12014, 2008, 2097, 5547, 1996, 15074, 1999, 1996, 2925, 1010, 7773, 2097, 2175, 2039, 2005, 2471, 7955, 1010, 1998, 5938, 2097, 2022, 3013, 2408, 1996, 2604, 1010, 7294, 3639, 3391, 2524, 1012, 1998, 2023, 6433, 2012, 1996, 2203, 1997, 2285, 1997, 2023, 2095, 1012, 1996, 6685, 2085, 2003, 1024, 2054, 2097, 3519, 1998, 1996, 2343, 2941, 2079, 2055, 2023, 1029, 2045, 3849, 2210, 3382, 2027, 1005, 2222, 2079, 2505, 2055, 2009, 2077, 1996, 2602, 1010, 1998, 2044, 1996, 2602, 1010, 2045, 1005, 1055, 2428, 2069, 2048, 2706, 1012, 2065, 2027, 2123, 1005, 1056, 2079, 2505, 1010, 2059, 2027, 1005, 2222, 4139, 1996, 9495, 2006, 1996, 3282, 1010, 1998, 1010, 6809, 19240, 2015, 1037, 2978, 1010, 1996, 4610, 3632, 2058, 1996, 10807, 7656, 1010, 1998, 7955, 2013, 1996, 7740, 5166, 2436, 2000, 3841, 16595, 2319, 3489, 2758, 2008, 2052, 2022, 2428, 1010, 2428, 2919, 2005, 1996, 4610, 1012, 7977, 1024, 1998, 4863, 2339, 7955, 2758, 2009, 2052, 2022, 2919, 1012, 2017, 2113, 1010, 2006, 1996, 2028, 2192, 1010, 2065, 2057, 3013, 3639, 1998, 2057, 5333, 7773, 1010, 2008, 1005, 1055, 1037, 2843, 1997, 2769, 2008, 1996, 2231, 13169, 1012, 2061, 2339, 2003, 2009, 1037, 10807, 7656, 1029, 14008, 11246, 1024, 2138, 6343, 1010, 2130, 1996, 2087, 29536, 6895, 7512, 3560, 15074, 12455, 1010, 2228, 2017, 2323, 2079, 2035, 2023, 2035, 2012, 2320, 1012, 2009, 1005, 1055, 1037, 2210, 2978, 2066, 2108, 2058, 11179, 1010, 1998, 1996, 3460, 4136, 2017, 7929, 1010, 2004, 1997, 2285, 2861, 1010, 2053, 2833, 1998, 2300, 1012, 2008, 1005, 1055, 2025, 1996, 2785, 1997, 10807, 4200, 2008, 1996, 4610, 3791, 1012, 2054, 1996, 4610, 3791, 2003, 2763, 1037, 2210, 2393, 2000, 2131, 3930, 2183, 2085, 1998, 2070, 9009, 1999, 1996, 2925, 1010, 2066, 1037, 2711, 16191, 2025, 2000, 4521, 2061, 2172, 3256, 6949, 1998, 2000, 6912, 2062, 1010, 2061, 2008, 2058, 1996, 2279, 5476, 1010, 1996, 4610, 2064, 14171, 2000, 1037, 2976, 2231, 2029, 2003, 2635, 2062, 1999, 7773, 1010, 6276, 2062, 1999, 5938, 2030, 2070, 5257, 21739, 1012, 7977, 1024, 2061, 1999, 1996, 10807, 7656, 11967, 1010, 2079, 1996, 7773, 2709, 2000, 1996, 3653, 1011, 5747, 4171, 1011, 3013, 3690, 1029, 14008, 11246, 1024, 2748, 1010, 7773, 2175, 2039, 2000, 2073, 2027, 2020, 2077, 2343, 2577, 5747, 1005, 1055, 2541, 1011, 2494, 4171, 7659, 1012, 2085, 1010, 2009, 4152, 1037, 2843, 1997, 3086, 2008, 2008, 2965, 3020, 7773, 2006, 1996, 4138, 1010, 1998, 2009, 2515, 2812, 3020, 7773, 2006, 1996, 4138, 1010, 2021, 2045, 2003, 1037, 2843, 1997, 2122, 4171, 7457, 2008, 2052, 2718, 2111, 2802, 1996, 3318, 8674, 1024, 1996, 2775, 4923, 2008, 7126, 2111, 2012, 1996, 3953, 1998, 1996, 4171, 6165, 2008, 2111, 2012, 1996, 2690, 2465, 3477, 1012, 7977, 1024, 2061, 2017, 1005, 2310, 2042, 5702, 2023, 2200, 4876, 1010, 2066, 2053, 2028, 7164, 2008, 2045, 2097, 2022, 1037, 3066, 2077, 1996, 2602, 2138, 2008, 1005, 1055, 2205, 10317, 4795, 1010, 12014, 2064, 2022, 2464, 2004, 2200, 4795, 2085, 1999, 2070, 7925, 1012, 2061, 2360, 2045, 1005, 1055, 1037, 3809, 3947, 2000, 2031, 1037, 12014, 2030, 2070, 2785, 1997, 2882, 17113, 2090, 1996, 2203, 1997, 1996, 2602, 1998, 1996, 2927, 1997, 1996, 2047, 2095, 1012, 2151, 2801, 2054, 2008, 12014, 2030, 2882, 17113, 2453, 2298, 2066, 1029, 14008, 11246, 1024, 2092, 1010, 1996, 25551, 17113, 2000, 2191, 2052, 2022, 2000, 2655, 1996, 2878, 2518, 2125, 2005, 1037, 2095, 1010, 1998, 1037, 2193, 1997, 8801, 2006, 2119, 4243, 1010, 2164, 10210, 2102, 19615, 1010, 2031, 10468, 2170, 2005, 2008, 1012, 2061, 2008, 1005, 1055, 2028, 5724, 1012, 1996, 2069, 2126, 1045, 2156, 2893, 1037, 12014, 2003, 2242, 2008, 2515, 2070, 3492, 7823, 28054, 2006, 5938, 2006, 5770, 3454, 2066, 27615, 1998, 19960, 5555, 3593, 1010, 2029, 2052, 2022, 2524, 2005, 1996, 8037, 2000, 10577, 1010, 11211, 2007, 2070, 3623, 1999, 7773, 2008, 2052, 2022, 2524, 2005, 1996, 10643, 2000, 10577, 1012, 2021, 2009, 1005, 1055, 2183, 2000, 2022, 2428, 2524, 2138, 1996, 2048, 4243, 2064, 1005, 1056, 2428, 13676, 2085, 1010, 2061, 1996, 3778, 2000, 8081, 2009, 2035, 2044, 2281, 2097, 2022, 2061, 6387, 2008, 1996, 2069, 2518, 2027, 2089, 2022, 2583, 2000, 5993, 2006, 2003, 2057, 2123, 1005, 1056, 2215, 2023, 2000, 4148, 1012, 2045, 2024, 1037, 2261, 2111, 2040, 2228, 2057, 11276, 2000, 2175, 2058, 1996, 10807, 7656, 1010, 1998, 2008, 1005, 2222, 2428, 2486, 1996, 8801, 2000, 2131, 2037, 2552, 2362, 1012, 2008, 3849, 1037, 2210, 19188, 2000, 2033, 1012, 7977, 1024, 2061, 2052, 2017, 12826, 2005, 2149, 2054, 2343, 8112, 1998, 2073, 10210, 2102, 19615, 3233, 2006, 2054, 2000, 2079, 2055, 9992, 1996, 10807, 7656, 1029, 14008, 11246, 1024, 2092, 1010, 1045, 2123, 1005, 1056, 2941, 2228, 2593, 2028, 1997, 2068, 2038, 11479, 2041, 2054, 10785, 2054, 2027, 2052, 2079, 2000, 4468, 1996, 10807, 7656, 1010, 2021, 2027, 2031, 22133, 19328, 2005, 2054, 2000, 2079, 2055, 1996, 2502, 15074, 3291, 1010, 2008, 2003, 2129, 2000, 8081, 2009, 1012, 10210, 2102, 19615, 2758, 2017, 2123, 1005, 1056, 2342, 2000, 5333, 7773, 1012, 2002, 2052, 2896, 4171, 6165, 2005, 7955, 1998, 2191, 2039, 2005, 2008, 2011, 2893, 9436, 1997, 1037, 2843, 1997, 2139, 16256, 2015, 1010, 6495, 1998, 15945, 2015, 1010, 2348, 2002, 3475, 1005, 1056, 3563, 2055, 2068, 1012, 1998, 2002, 2038, 11763, 1996, 2738, 17151, 3334, 2063, 5166, 2008, 2703, 4575, 1010, 1996, 3951, 2013, 5273, 1010, 2038, 3818, 1012, 2061, 10468, 2002, 2758, 1045, 2215, 2000, 8081, 1996, 15074, 1010, 1045, 2215, 2000, 2079, 2009, 2096, 13845, 4171, 6165, 1010, 2893, 9436, 1997, 2139, 16256, 2015, 1998, 6495, 1998, 6276, 5938, 1037, 2843, 1012, 2343, 8112, 6732, 2008, 1005, 1055, 1037, 6707, 1012, 2002, 2987, 1005, 1056, 2215, 2000, 3013, 5938, 2004, 2172, 2004, 10210, 2102, 19615, 2030, 2703, 4575, 2515, 1012, 2002, 2515, 2215, 2000, 5333, 7773, 1010, 2021, 2002, 2758, 2008, 2002, 1005, 2222, 2069, 5333, 7773, 2006, 3318, 2058, 1037, 4284, 1997, 1037, 2454, 6363, 1037, 2095, 1012, 7977, 1024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4487, 19150, 14997, 2007, 2417, 23194, 2751, 1012, 1998, 2116, 2062, 4469, 2838, 999, 1037, 2786, 17323, 5404, 3293, 2008, 2001, 7917, 2138, 1996, 2088, 2347, 1005, 1056, 3201, 2005, 1037, 5637, 3232, 1012, 2011, 7842, 22909, 16147, 19317, 2378, 12010, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1014, 2685, 2487, 2391, 2475, 2685, 1022, 2420, 3283, 2106, 3087, 2842, 17841, 1996, 4566, 1000, 2025, 2673, 1999, 2304, 1998, 2317, 3084, 3168, 1000, 2004, 5805, 1029, 2009, 3849, 2000, 5769, 2008, 15949, 2987, 1005, 1056, 2191, 3168, 1010, 2029, 2052, 5525, 2025, 2022, 1037, 2204, 4471, 2000, 2022, 9359, 1010, 2007, 2030, 2302, 5404, 1012, 2579, 2013, 1996, 2338, 1997, 12570, 10760, 2964, 2011, 5665, 2271, 9793, 2378, 2732, 9028, 2015, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1015, 2391, 2475, 2685, 2509, 2685, 1017, 2706, 3283, 1045, 2074, 2985, 1037, 2204, 2274, 2781, 3752, 2023, 2000, 2026, 2969, 2041, 5189, 1010, 4067, 2017, 2785, 2909, 2030, 21658, 1012, 2308, 1997, 2417, 23194, 1010, 2065, 2017, 2071, 2689, 2028, 2518, 2055, 2273, 1999, 2236, 2054, 2052, 2009, 2022, 1029, 2011, 10958, 21297, 12377, 3198, 5596, 23194, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1011, 1015, 2685, 2692, 2685, 2487, 2391, 1017, 2706, 3283, 2009, 2064, 2145, 10825, 2017, 1997, 2023, 2832, 1998, 18708, 2017, 2000, 2868, 1010, 2947, 5719, 1996, 4984, 1012, 1045, 2572, 1037, 2210, 2397, 2182, 1010, 2021, 2023, 2003, 2941, 15189, 1010, 1045, 9131, 3752, 1037, 2338, 2011, 8861, 5580, 4381, 1006, 12373, 1007, 2008, 2018, 1037, 2930, 17555, 1037, 2817, 1997, 2023, 1025, 10468, 1010, 2065, 2017, 7868, 1037, 13268, 3670, 1997, 1996, 7603, 2017, 4299, 2000, 2031, 1010, 2009, 2097, 7166, 2000, 2272, 1012, 2947, 1010, 5629, 2052, 7166, 2000, 2191, 2017, 1037, 19366, 2711, 1999, 2236, 1012, 1045, 16755, 1996, 2338, 2993, 1010, 2021, 2182, 2003, 2019, 4522, 3120, 1024, 2023, 2003, 2006, 1996, 2034, 3931, 1997, 1037, 8224, 3945, 2005, 1000, 5629, 3084, 2017, 3407, 1000, 2065, 1996, 4957, 11896, 1012, 1045, 2064, 1005, 1056, 4392, 8739, 2138, 2000, 2033, 1010, 2009, 16958, 2066, 7367, 3549, 1012, 2026, 3129, 7459, 2009, 1998, 1045, 2064, 2196, 2425, 2032, 1012, 2417, 23194, 1010, 2054, 7800, 2079, 2017, 2562, 2061, 2004, 2025, 2000, 10083, 2477, 2005, 2500, 1029, 2011, 5466, 9497, 10376, 2098, 5267, 10259, 2378, 3198, 5596, 23194, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1014, 2685, 2487, 2391, 2475, 2685, 1022, 2706, 3283, 1045, 2031, 2467, 4384, 2023, 2007, 18437, 1998, 2060, 4996, 2021, 1045, 2031, 3866, 2009, 2296, 2051, 3828, 2043, 1996, 2299, 2993, 2001, 2919, 1012, 6948, 2102, 1024, 2017, 2064, 5587, 1037, 2338, 10665, 2157, 2185, 2006, 18546, 2011, 3173, 14931, 12190, 1009, 1040, 2011, 1031, 17159, 1033, 1999, 2166, 21572, 25101, 2015, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1014, 2685, 2487, 2391, 2475, 2685, 1023, 2706, 3283, 2048, 13134, 2182, 1024, 2028, 1010, 2023, 2573, 2006, 2296, 16602, 1045, 2031, 2412, 2109, 1010, 2164, 3850, 1010, 2543, 14876, 2595, 1010, 1998, 29464, 1012, 2048, 1010, 2005, 6097, 1010, 2009, 2052, 5525, 2022, 3094, 1009, 1040, 2489, 5306, 2609, 2069, 2005, 2111, 2007, 2004, 4842, 15776, 1024, 2004, 4842, 15776, 21716, 6651, 7159, 6198, 1012, 4773, 2015, 1012, 4012, 2011, 16596, 4765, 12199, 2378, 19465, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1022, 2685, 2683, 2685, 10790, 2685, 1023, 2706, 3283, 2003, 2023, 1037, 10311, 8257, 1029, 2019, 4064, 7705, 5052, 2293, 2005, 2216, 2007, 2004, 4842, 15776, 1029, 2052, 2017, 9826, 2681, 2115, 2783, 3278, 2060, 2065, 2037, 4138, 2269, 2234, 2247, 5378, 2017, 1037, 4638, 2005, 1002, 1015, 1010, 2199, 1010, 2199, 2000, 2053, 2936, 2022, 2007, 2068, 1029, 2011, 7861, 11368, 28495, 2099, 2581, 2549, 2378, 3198, 5596, 23194, 2074, 2179, 13774, 12528, 7347, 1999, 2026, 28691, 1012, 2054, 1005, 1055, 1996, 5976, 4355, 2518, 2017, 2404, 1013, 3062, 1999, 2115, 11655, 1998, 2179, 2847, 2101, 1029, 2011, 20934, 14536, 27694, 19099, 11493, 2048, 2595, 2818, 21716, 19137, 7834, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1015, 2391, 2475, 2685, 2509, 2685, 1023, 2706, 3283, 2023, 9041, 2006, 2115, 2287, 1010, 2021, 2009, 2003, 4298, 1996, 2765, 1997, 2690, 2082, 2030, 2152, 2082, 2287, 3337, 2652, 28691, 3455, 2096, 2017, 2020, 11116, 1012, 8130, 2039, 1037, 4284, 9005, 19006, 1998, 19337, 12474, 16930, 4765, 1012, 2417, 23194, 1010, 2054, 4490, 1997, 16056, 2030, 9610, 10175, 2854, 2031, 2017, 2464, 2175, 13800, 3973, 3308, 1029, 2011, 1996, 1035, 14850, 2378, 3198, 5596, 23194, 2023, 2074, 6966, 2033, 1997, 2026, 2152, 2082, 2892, 2406, 2873, 1012, 4067, 2017, 2005, 1996, 8451, 1024, 1007, 1045, 3728, 2387, 2019, 4748, 28638, 2033, 2005, 2025, 23658, 4748, 23467, 2029, 6966, 2033, 2000, 16500, 4748, 23467, 1012, 2054, 2785, 1997, 15147, 2067, 26332, 2031, 2017, 2657, 1997, 1029, 2011, 6108, 17465, 21486, 2692, 2378, 3198, 5596, 23194, 2092, 1010, 2023, 2003, 1996, 2197, 2051, 1045, 2224, 2026, 3009, 3836, 2004, 2026, 2069, 3120, 1012, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1011, 1021, 2685, 1011, 1020, 2685, 1011, 1019, 2685, 1023, 2706, 3283, 2036, 1010, 2017, 2113, 8902, 5867, 11868, 19351, 1029, 1999, 3009, 1010, 2009, 2003, 1037, 3094, 2433, 1997, 1996, 12034, 8902, 6843, 1024, 2000, 6865, 1012, 2061, 1010, 8902, 5867, 11868, 19707, 2618, 1024, 2175, 6865, 4426, 1010, 11868, 19707, 2618, 1012, 8902, 5867, 2515, 2025, 5271, 2092, 1999, 3009, 4092, 3032, 1012, 2036, 1010, 2045, 2003, 2019, 2137, 2118, 1010, 8902, 5867, 2118, 1012, 2200, 2261, 2493, 2007, 3009, 2004, 2037, 2034, 2653, 1012, 6721, 2852, 7875, 3468, 1013, 2466, 1006, 1056, 2860, 1024, 1000, 1054, 1000, 2773, 1007, 1012, 2036, 1010, 1045, 2342, 2393, 1006, 1996, 7782, 2978, 4751, 2026, 3160, 1007, 1012, 2011, 6683, 19317, 2487, 8428, 19465, 3383, 2242, 2055, 4531, 2041, 2129, 2002, 2064, 2393, 2216, 2040, 2079, 2025, 3305, 2032, 2113, 2032, 2488, 1010, 2437, 2009, 1037, 1000, 2393, 1996, 2204, 3124, 2000, 2113, 2488, 1000, 2466, 1012, 1045, 2031, 1037, 10256, 2433, 1997, 19465, 1010, 1998, 2031, 2036, 3728, 2042, 2083, 4280, 2006, 5541, 3015, 1012, 2054, 2017, 2031, 2764, 2061, 2521, 3544, 2000, 2022, 1037, 2839, 1998, 3471, 2008, 1996, 2839, 2038, 1010, 2021, 2017, 4033, 1005, 1056, 3491, 2151, 2364, 4736, 1012, 5454, 1037, 2686, 2008, 2097, 2022, 4390, 2005, 1996, 2839, 1010, 1998, 1010, 5834, 2006, 2129, 2017, 4299, 2000, 17279, 1996, 2466, 1010, 2191, 2062, 3494, 1012, 2017, 2071, 5630, 2000, 2224, 2053, 2060, 2440, 3494, 2011, 2478, 1996, 8740, 16774, 2594, 7339, 2000, 3443, 2069, 4216, 1997, 4506, 1010, 2025, 5344, 1998, 12857, 1012, 2065, 2017, 2052, 2066, 2062, 2393, 1010, 1045, 2052, 2022, 3407, 2000, 1010, 2017, 2342, 2069, 3198, 1012, 2298, 2012, 1996, 3415, 1998, 16024, 1997, 10210, 2102, 19615, 1005, 1055, 8275, 1056, 28394, 4523, 1998, 2009, 2003, 5793, 2027, 2024, 3274, 7013, 1012, 10210, 2102, 19615, 9343, 8275, 10474, 8771, 1012, 2011, 28359, 5737, 2378, 4331, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1014, 2685, 2487, 2391, 2475, 2685, 2184, 2706, 3283, 1045, 2113, 1997, 2008, 2004, 1037, 2197, 2171, 1010, 2021, 2009, 2052, 2022, 2019, 5976, 2034, 2171, 2065, 2009, 2020, 2613, 1012, 2076, 1037, 2267, 3942, 1010, 1996, 5009, 2056, 1010, 1000, 2076, 2115, 2051, 2012, 2267, 1010, 2017, 2453, 2215, 2000, 2817, 6917, 1012, 1000, 2026, 3611, 2357, 2000, 2033, 1998, 2056, 1000, 2672, 2062, 2084, 2028, 1012, 1000, 2417, 23194, 1010, 2054, 2024, 2070, 1997, 8915, 4569, 15580, 2102, 2477, 2115, 3008, 2031, 2056, 2000, 2017, 1029, 2011, 1056, 29278, 3351, 17134, 2378, 3198, 5596, 23194, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1014, 2685, 2487, 2391, 2475, 2685, 2340, 2706, 3283, 13548, 4431, 1029, 2672, 1029, 2040, 2020, 2115, 2034, 3809, 10188, 2229, 1997, 2169, 3348, 1029, 2011, 2033, 11151, 9153, 2378, 22437, 15624, 1010, 8410, 1005, 1055, 6898, 1010, 5292, 3270, 1996, 7385, 1997, 2166, 2011, 2327, 4523, 4213, 13871, 2378, 21461, 4246, 4246, 11263, 2226, 2226, 2226, 2226, 2226, 2226, 2226, 2226, 2226, 2226, 2226, 1031, 1516, 1033, 8038, 26830, 8162, 4609, 3678, 17134, 1015, 2391, 2475, 2685, 2509, 2685, 2340, 2706, 3283, 7592, 1010, 1045, 2556, 2000, 2017, 2651, 2004, 1037, 2978, 1997, 1037, 8035, 18792, 1012, 1999, 2169, 1997, 2122, 11048, 1010, 2115, 2742, 1011, 2711, 2758, 1000, 1045, 4299, 1045, 2001, 1012, 1012, 1012, 1000, 1012, 1996, 5372, 3601, 2182, 2052, 2022, 1000, 1045, 4299, 1045, 2020, 1000, 2349, 2000, 1037, 2210, 2124, 3627, 1997, 1996, 2394, 2653, 2124, 2004, 4942, 19792, 15277, 1012, 2023, 2003, 2172, 2062, 2092, 2124, 1999, 3009, 1010, 2247, 2007, 1010, 1045, 2052, 5987, 1010, 1037, 2193, 1997, 7472, 4155, 1012, 2182, 1010, 2031, 1037, 4957, 1024, 8299, 1024, 1013, 1013, 4372, 1012, 16948, 1012, 8917, 1013, 15536, 3211, 1013, 2394, 1035, 4942, 19792, 15277, 4067, 2017, 2005, 2115, 2051, 1012, 10086, 1024, 4964, 4957, 2397, 2000, 1996, 2283, 1010, 2021, 1045, 2215, 2000, 2156, 2129, 1045, 2097, 6869, 1024, 1045, 2097, 2421, 2182, 2008, 1045, 2572, 3287, 1010, 2029, 2089, 2022, 27505, 2030, 2089, 2074, 2022, 16647, 1999, 2060, 8466, 2004, 2009, 2003, 2641, 22537, 1012, 2026, 2034, 10188, 2006, 1037, 2931, 2001, 1999, 2959, 3694, 1010, 2061, 1045, 2134, 1005, 1056, 2079, 2172, 2055, 2009, 1012, 2062, 5875, 1006, 3191, 1024, 16436, 1007, 2003, 2026, 2350, 2690, 2082, 10188, 1010, 1999, 5066, 3694, 1012, 2014, 2171, 2001, 8410, 1010, 1998, 2026, 4167, 2018, 2764, 2000, 1996, 2391, 2073, 1045, 10468, 4384, 1000, 22017, 5910, 1012, 1000, 1045, 4015, 2046, 2014, 3009, 2465, 2013, 2026, 2219, 2896, 22915, 2028, 4895, 18447, 4765, 19301, 2135, 2043, 1045, 1010, 1999, 2026, 2190, 9596, 5066, 3694, 23883, 1011, 2003, 2232, 5450, 1010, 2628, 2014, 2000, 3009, 2738, 2084, 2559, 2012, 2026, 2219, 6134, 1996, 2034, 2154, 1012, 2008, 2357, 2041, 2108, 1996, 2190, 6707, 1045, 2031, 2081, 1010, 1996, 3836, 2001, 2521, 2488, 1998, 1045, 2572, 2085, 2028, 1997, 1996, 2190, 3009, 2493, 1999, 2026, 6800, 2465, 1012, 2174, 1010, 1996, 10188, 2993, 2001, 2025, 2061, 3492, 1010, 1045, 3092, 2039, 1010, 2012, 2026, 2034, 3153, 1010, 2383, 2026, 2767, 1010, 3005, 7264, 1010, 2013, 2026, 2391, 1997, 3193, 1010, 2020, 2066, 2216, 1997, 1037, 11240, 5795, 1010, 13621, 1037, 3116, 2073, 1045, 2356, 2014, 2041, 1012, 2009, 2253, 2242, 2066, 2023, 1024, 2033, 1024, 4931, 1010, 2052, 2017, 2066, 2000, 2175, 2041, 2007, 2033, 1029, 2014, 1024, 2672, 2101, 1012, 1045, 2052, 2066, 2000, 2360, 2009, 3092, 2045, 1010, 2021, 1010, 1045, 7687, 15858, 2014, 3241, 1045, 2001, 2074, 3403, 2014, 2041, 2005, 1996, 2717, 1997, 2026, 5066, 3694, 2095, 1012, 2004, 2521, 2004, 1037, 3287, 10188, 1010, 2216, 2031, 2042, 2200, 3522, 1012, 1045, 2018, 1037, 6513, 2802, 3502, 2095, 1010, 2107, 6354, 2321, 2706, 2030, 2061, 1010, 1998, 2059, 2253, 2091, 2066, 1037, 4318, 10974, 28352, 2063, 4565, 2058, 1037, 2235, 8457, 1025, 2025, 2019, 7738, 1010, 2021, 1037, 2543, 2008, 2074, 2506, 2000, 2131, 4788, 1998, 4788, 1012, 1045, 2253, 2083, 1037, 2186, 1997, 4692, 11049, 1006, 2007, 3801, 1007, 1010, 2077, 2633, 2074, 2635, 2070, 2051, 2000, 4658, 2091, 1998, 2448, 1012, 2008, 3047, 2058, 2055, 1018, 2030, 2274, 2706, 1012, 1045, 2633, 2001, 3331, 2000, 2026, 2767, 2028, 2305, 1010, 2040, 1045, 2018, 13322, 2039, 2007, 2014, 11155, 10188, 2012, 1996, 20772, 3153, 2055, 1037, 2733, 2044, 1045, 2150, 2309, 1998, 2699, 1006, 14599, 7989, 1007, 2000, 27755, 2000, 2014, 2011, 6719, 15866, 2032, 2046, 2014, 1012, 1045, 2409, 2014, 2008, 1045, 2018, 1037, 3399, 1010, 1998, 1010, 2004, 2016, 2061, 6919, 2135, 2515, 1010, 2016, 2356, 1998, 7791, 1012, 1045, 2409, 2014, 2008, 1045, 2018, 2467, 2018, 1037, 3168, 1997, 3251, 2030, 2025, 3767, 2020, 2980, 1010, 2295, 2025, 2004, 15514, 2004, 2001, 2026, 4094, 2005, 3801, 1012, 12654, 1997, 1996, 6594, 1010, 2057, 5531, 2008, 1045, 2453, 2022, 22437, 1012, 2061, 1010, 2004, 1045, 2411, 7166, 2000, 2079, 1010, 1045, 2253, 2105, 4129, 1996, 2261, 2111, 1045, 3404, 1010, 20998, 9597, 2007, 3037, 1010, 3773, 2054, 2111, 2245, 1997, 2009, 1010, 11721, 15916, 2075, 2129, 3733, 2030, 3697, 2009, 2453, 2022, 2000, 3929, 2272, 2041, 1012, 3071, 1045, 2409, 3322, 2245, 2009, 2001, 5875, 2012, 5409, 1998, 10990, 2012, 2190, 1006, 2016, 2001, 5327, 2005, 1037, 21871, 6508, 5637, 2767, 1007, 1012, 2023, 28043, 2026, 7023, 2055, 2009, 1010, 1998, 1045, 2211, 14299, 2105, 2005, 1000, 5875, 1000, 3767, 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, 2092, 12455, 1010, 1996, 5764, 2705, 3585, 7595, 2015, 2031, 2074, 3092, 2061, 1045, 1005, 2310, 2787, 2000, 2360, 2026, 3538, 2006, 1996, 17853, 1998, 4791, 1997, 1996, 2982, 1012, 2077, 1045, 2175, 2006, 2174, 1045, 2052, 2066, 2000, 3602, 2008, 2023, 2097, 2069, 2022, 2026, 5448, 2006, 1996, 2982, 2008, 2020, 4375, 2041, 2000, 3152, 1010, 2025, 2547, 3065, 1012, 2061, 2292, 1005, 1055, 2131, 2318, 999, 2190, 4637, 3883, 1008, 5736, 5222, 7485, 1011, 1996, 8068, 1008, 6864, 5922, 1011, 4797, 1008, 18641, 8096, 1011, 22845, 22246, 7623, 1008, 10482, 4482, 1011, 4797, 1008, 23787, 2050, 21269, 2072, 1011, 1996, 10706, 3453, 1024, 5736, 5222, 7485, 1011, 1996, 8068, 2085, 12455, 1045, 2031, 2000, 2022, 4189, 2182, 1010, 1045, 2106, 2025, 2156, 1996, 8068, 2061, 1045, 2064, 2102, 3648, 5736, 5222, 7485, 1005, 1055, 2836, 1010, 2021, 1045, 2097, 2360, 2008, 2041, 1997, 2035, 1996, 3152, 1045, 1005, 2310, 2464, 1999, 2023, 4696, 1045, 7714, 2228, 23787, 2050, 21269, 2072, 2323, 1005, 2310, 2180, 2005, 1996, 10706, 1012, 2190, 4637, 3364, 1008, 9895, 27106, 1011, 1996, 2601, 5000, 1008, 3419, 8592, 1011, 19817, 7361, 2594, 8505, 1008, 2728, 2091, 3240, 1010, 3781, 1012, 1011, 19817, 7361, 2594, 8505, 1008, 6798, 10882, 24336, 2015, 1011, 1996, 11017, 1008, 5170, 13254, 15107, 1011, 4797, 3453, 1024, 3684, 27106, 1011, 1996, 2601, 5000, 1996, 5793, 2028, 5222, 999, 2272, 2006, 1010, 3071, 2354, 2009, 2052, 2022, 27106, 1012, 1996, 2502, 3160, 2003, 2339, 1996, 3109, 2106, 2027, 23388, 3419, 8592, 2005, 19817, 7361, 2594, 8505, 1029, 3109, 2065, 2017, 1005, 2128, 2183, 2000, 2079, 2008, 2339, 2025, 23388, 16235, 4922, 1999, 10097, 1013, 11296, 1029, 1008, 22889, 2819, 16168, 19965, 1011, 4079, 17935, 14876, 2100, 1008, 10097, 1013, 11296, 1011, 2848, 5253, 1008, 1996, 8025, 2553, 1997, 6425, 6462, 1011, 4388, 12211, 1008, 4797, 1011, 2198, 4754, 17137, 3051, 1008, 1996, 8068, 1011, 2585, 14263, 3453, 1024, 22889, 2819, 16168, 19965, 1011, 4079, 17935, 14876, 2100, 1045, 2064, 2444, 2007, 2023, 2400, 2183, 2000, 22889, 2819, 16168, 19965, 1010, 2174, 1045, 2228, 10097, 1013, 11296, 2018, 1037, 2172, 2488, 9000, 1012, 10097, 1013, 11296, 2074, 2018, 2062, 5875, 4784, 2183, 2006, 1998, 2009, 2018, 2172, 2488, 13764, 8649, 1999, 2026, 5448, 1012, 4606, 2054, 2060, 3185, 2052, 2131, 2017, 2000, 2228, 2055, 2019, 4357, 2004, 1037, 8362, 2674, 1029, 22889, 2819, 16168, 1005, 1055, 10303, 2009, 2074, 2347, 1005, 1056, 1996, 2190, 3601, 1999, 2026, 5448, 1012, 2190, 2434, 2299, 1008, 1000, 1996, 10706, 1000, 1011, 1996, 10706, 1008, 1000, 1045, 2245, 1045, 2439, 2017, 1000, 1011, 10053, 1008, 1000, 2320, 1999, 1037, 6480, 1000, 1011, 20425, 2636, 1008, 1000, 12604, 24737, 1000, 1011, 12604, 24737, 1008, 1000, 2091, 2000, 3011, 1000, 1011, 2813, 1011, 1041, 3453, 1024, 1000, 1996, 10706, 1000, 1011, 1996, 10706, 2005, 3649, 3114, 16948, 1006, 1996, 3120, 2005, 2035, 2592, 1007, 3475, 1005, 1056, 10328, 1996, 2111, 2040, 2626, 1998, 2864, 1996, 2774, 2021, 27523, 3366, 2017, 2134, 1005, 1056, 2113, 2009, 2001, 5503, 6076, 9589, 2040, 2626, 1998, 6369, 1996, 2299, 2008, 3092, 2039, 3045, 1012, 1045, 2064, 2444, 2007, 2008, 1998, 3109, 2009, 1005, 1055, 1037, 2204, 2299, 1012, 2190, 2434, 3556, 1008, 22889, 2819, 16168, 19965, 1011, 1037, 1012, 1054, 1012, 14364, 1008, 2689, 2989, 1011, 16235, 24201, 1008, 1996, 8025, 2553, 1997, 6425, 6462, 1011, 16971, 4078, 24759, 4017, 1008, 19674, 1011, 2508, 8446, 4922, 1008, 10097, 1013, 11296, 1011, 7003, 1062, 5714, 5017, 3453, 1024, 22889, 2819, 16168, 19965, 1011, 1037, 1012, 1054, 1012, 14364, 7929, 1012, 1012, 1012, 1045, 2123, 1005, 1056, 2428, 2507, 1037, 10231, 2061, 2057, 1005, 2222, 2175, 2007, 2008, 1012, 2190, 3097, 2653, 2143, 1008, 17569, 2007, 24234, 4313, 1006, 11748, 2015, 10047, 24234, 4313, 1007, 1528, 3956, 1008, 1996, 8670, 9648, 2099, 24182, 14586, 3375, 1006, 4315, 8670, 9648, 2099, 24182, 14586, 12849, 23344, 2595, 1007, 1528, 2762, 1008, 2412, 8523, 3436, 5312, 1006, 3814, 16357, 23345, 23408, 13340, 13958, 2239, 16558, 6799, 1007, 1528, 4701, 1008, 2175, 5302, 11335, 2232, 1006, 2175, 5302, 11335, 1007, 1528, 3304, 1008, 1045, 1005, 2310, 3866, 2017, 2061, 2146, 1006, 6335, 1061, 1037, 2146, 18532, 4523, 10861, 15333, 1056, 1005, 6614, 2063, 1007, 1528, 2605, 3453, 1024, 17569, 2007, 24234, 4313, 1006, 11748, 2015, 10047, 24234, 4313, 1007, 2292, 1005, 1055, 2074, 2360, 1996, 5793, 1010, 2073, 1996, 3109, 2001, 2292, 1996, 2157, 2028, 1999, 999, 1029, 2085, 2008, 1045, 1005, 2310, 5407, 2008, 2041, 1997, 1996, 2126, 1045, 2064, 2360, 2008, 17569, 2007, 24234, 4313, 3504, 2066, 2019, 5875, 3185, 1012, 2060, 2059, 2008, 1045, 2031, 2196, 2657, 1997, 2151, 1997, 1996, 2060, 3152, 4222, 2005, 2023, 2400, 1012, 1008, 6266, 16694, 1011, 22889, 2819, 16168, 19965, 1008, 4459, 17488, 21190, 1011, 1996, 8068, 1008, 2585, 16133, 2121, 1011, 1996, 8025, 2553, 1997, 6425, 6462, 1008, 6902, 4922, 1011, 10097, 1013, 11296, 1008, 3520, 27916, 1011, 6208, 2346, 3453, 1024, 6266, 16694, 1011, 22889, 2819, 16168, 19965, 2048, 5501, 2182, 1045, 2371, 2020, 2187, 2041, 1998, 2071, 2031, 4089, 2999, 16133, 2121, 1010, 2216, 2108, 12270, 12098, 17175, 10343, 4801, 1998, 5696, 13401, 1012, 2021, 2007, 2040, 2001, 4222, 1045, 2903, 2008, 6266, 16694, 2001, 1996, 2190, 2028, 2041, 1997, 2008, 2177, 1012, 2190, 6579, 2143, 1008, 18577, 11865, 25462, 2763, 1996, 2087, 5793, 2400, 1997, 1996, 2305, 1010, 2027, 2323, 2763, 2074, 14916, 14074, 1996, 1000, 2190, 6579, 2143, 1000, 2400, 1996, 1000, 3422, 2004, 2057, 3610, 14255, 18684, 2099, 1005, 1055, 4632, 1000, 2400, 1012, 2190, 3883, 1011, 3315, 2030, 4038, 1008, 8836, 13835, 1011, 3407, 1011, 2175, 1011, 5341, 1008, 9423, 2534, 1011, 22845, 22246, 7623, 1008, 10360, 11338, 7983, 2386, 2094, 1011, 6402, 2044, 3752, 1008, 21442, 8516, 2358, 9910, 2361, 1011, 5003, 14760, 8764, 999, 1008, 5616, 5953, 1011, 2197, 3382, 7702, 3453, 1024, 8836, 13835, 1011, 3407, 1011, 2175, 1011, 5341, 2298, 2009, 2001, 2593, 2014, 2030, 21442, 8516, 2358, 9910, 2361, 1010, 2106, 2017, 2215, 3087, 2000, 2663, 2505, 2005, 5003, 14760, 8764, 999, 1029, 1045, 2134, 1005, 1056, 2228, 2061, 1012, 2190, 3883, 1011, 3689, 1008, 5736, 5222, 7485, 1011, 6208, 2346, 1008, 4776, 6045, 14238, 4710, 1011, 5586, 2893, 2496, 1008, 23847, 8183, 8751, 1011, 2689, 2989, 1008, 21442, 8516, 2358, 9910, 2361, 1011, 4797, 1008, 25130, 3660, 2726, 1011, 1045, 1005, 2310, 3866, 2017, 2061, 2146, 1006, 6335, 1061, 1037, 2146, 18532, 4523, 10861, 15333, 1056, 1005, 6614, 2063, 1007, 3453, 1024, 5736, 5222, 7485, 1011, 6208, 2346, 2298, 1010, 21442, 8516, 2358, 9910, 2361, 2323, 1005, 2310, 2180, 2023, 2400, 2021, 2027, 2371, 2065, 2027, 2435, 1996, 2400, 2000, 5736, 5222, 7485, 2016, 2052, 2175, 4689, 1998, 6167, 6248, 2006, 2754, 1012, 13718, 2016, 2134, 1005, 1056, 2061, 1045, 2097, 2085, 2175, 3805, 1998, 2360, 2008, 21442, 8516, 2358, 9910, 2361, 2001, 20114, 1012, 2190, 3364, 1011, 3315, 2030, 4038, 1008, 6972, 16248, 1011, 1999, 7987, 22890, 2015, 1008, 13824, 22759, 6633, 1011, 22845, 22246, 7623, 1008, 2508, 9341, 1011, 7222, 23804, 4671, 1008, 15039, 18874, 3385, 1011, 1999, 7987, 22890, 2015, 1008, 24337, 15107, 1011, 2197, 3382, 7702, 3453, 1024, 6972, 16248, 1011, 1999, 7987, 22890, 2015, 1045, 3262, 5993, 1010, 2021, 2085, 1045, 2572, 8025, 2065, 9610, 16523, 27225, 2064, 6170, 2030, 2022, 6057, 2349, 2000, 2032, 2893, 4222, 2005, 22845, 22246, 7623, 1012, 2190, 3364, 1011, 3689, 1008, 11021, 24400, 1011, 1996, 10706, 1008, 14720, 4487, 17695, 9488, 1011, 6208, 2346, 1008, 3581, 21395, 4571, 1011, 10097, 1013, 11296, 1008, 8226, 15091, 1011, 1996, 8025, 2553, 1997, 6425, 6462, 1008, 5977, 9502, 1011, 6501, 3453, 1024, 11021, 24400, 1011, 1996, 10706, 1045, 6135, 5993, 2182, 1010, 24400, 2435, 1996, 2190, 2836, 2023, 2095, 1012, 2041, 1997, 2035, 1996, 5889, 4222, 2002, 2001, 1996, 2190, 1010, 2748, 2130, 2488, 2084, 21395, 4571, 1999, 2026, 5448, 1012, 2174, 2008, 2108, 2056, 1045, 2763, 2052, 1005, 2310, 4222, 22953, 4115, 2005, 1059, 1012, 2612, 1997, 8226, 15091, 1010, 2021, 2008, 1005, 1055, 2074, 2033, 1998, 1045, 2293, 6498, 22953, 4115, 2004, 2019, 3364, 1012, 2190, 4367, 3861, 1011, 3315, 2030, 4038, 1008, 22845, 22246, 7623, 1008, 6402, 2044, 3752, 1008, 1999, 7987, 22890, 2015, 1008, 5003, 14760, 8764, 999, 3453, 1024, 22845, 22246, 7623, 2339, 1996, 3109, 2001, 5003, 14760, 8764, 999, 4222, 1029, 999, 1045, 2064, 2228, 1997, 1037, 3232, 5691, 2008, 2323, 1005, 2310, 2042, 4222, 2612, 1997, 2009, 1010, 2066, 16360, 2080, 999, 1996, 7403, 3850, 2030, 2535, 4275, 1012, 2060, 2084, 2008, 2295, 1010, 1045, 4033, 1005, 1056, 2464, 22845, 22246, 7623, 2061, 1045, 2064, 1005, 1056, 2428, 7615, 2006, 3251, 2030, 2025, 2009, 2323, 1005, 2310, 2180, 1012, 2190, 4367, 3861, 1011, 3689, 1008, 1996, 8025, 2553, 1997, 6425, 6462, 1008, 1996, 8068, 1008, 6208, 2346, 1008, 22889, 2819, 16168, 19965, 3453, 1024, 22889, 2819, 16168, 19965, 2085, 2182, 1005, 1055, 2073, 1045, 1005, 1049, 2183, 2000, 2131, 1037, 2843, 1997, 13109, 8684, 2013, 2151, 14437, 2266, 2040, 9631, 2023, 1010, 1045, 2123, 1005, 1056, 2228, 2023, 2001, 1996, 2157, 3601, 1012, 2041, 1997, 2035, 1996, 17853, 2005, 2023, 2400, 1045, 2228, 10097, 1013, 11296, 2001, 1996, 2190, 3185, 4222, 1012, 2000, 2022, 4189, 1010, 1045, 4669, 22889, 2819, 16168, 19965, 2021, 1045, 2145, 2228, 2009, 2001, 2074, 2019, 7929, 3185, 2012, 2190, 1012, 10097, 1013, 11296, 2001, 1037, 3185, 1045, 2245, 2001, 2488, 2006, 2035, 21430, 1998, 2018, 2062, 6240, 2000, 2009, 1010, 2021, 1045, 2123, 1005, 1056, 2192, 2041, 2122, 2982, 1012, 2061, 2022, 5580, 22889, 2819, 16168, 1010, 2017, 2180, 1996, 7595, 2021, 2574, 1996, 7436, 2015, 2097, 2272, 1998, 2009, 2089, 2025, 2022, 2061, 3733, 1012, 2339, 1996, 3109, 2079, 1045, 2360, 2008, 1029, 2138, 2065, 2045, 2001, 2028, 3291, 2007, 2023, 2400, 2265, 2009, 2001, 1996, 17853, 1012, 1045, 1005, 2222, 2074, 2360, 2023, 1010, 2073, 1996, 3109, 2001, 1996, 2601, 5000, 1029, 2008, 3475, 1005, 1056, 2130, 2026, 5440, 3185, 1997, 1996, 2095, 2021, 2145, 2009, 2323, 2022, 3264, 2008, 1996, 2601, 5000, 10849, 2000, 2131, 4222, 2062, 2084, 6425, 6462, 1012, 2178, 2143, 2008, 10849, 2000, 2131, 4222, 2062, 2001, 1996, 10706, 1010, 1037, 2143, 2029, 2180, 2048, 1997, 1996, 2093, 2982, 2009, 2001, 4222, 2005, 2021, 2134, 1005, 1056, 2131, 3858, 2005, 2190, 2472, 2030, 2190, 3861, 1012, 1996, 10706, 2003, 2026, 5440, 2143, 1997, 1996, 2095, 2664, 1996, 3585, 7595, 2015, 2371, 2009, 2347, 1005, 1056, 2004, 2204, 2004, 6208, 2346, 1029, 999, 2054, 1996, 3109, 1029, 999, 2085, 2144, 2035, 1997, 2023, 2003, 2056, 1998, 2589, 1010, 2009, 1005, 1055, 2145, 1996, 3585, 7595, 2015, 1010, 1998, 2004, 2107, 2009, 1005, 1055, 2145, 2028, 1997, 1996, 11809, 2400, 3065, 1997, 1996, 2095, 1012, 2092, 2941, 1010, 2035, 1997, 1996, 2400, 3065, 2024, 3492, 4365, 11809, 1010, 2021, 1996, 3585, 7595, 2015, 2074, 2031, 1037, 21555, 2055, 2068, 2008, 11652, 1000, 1045, 1005, 1049, 2025, 2590, 999, 1000, 1045, 2812, 1010, 2043, 2017, 2031, 1996, 10096, 2015, 1998, 1996, 7436, 2015, 2339, 2079, 2017, 2342, 2019, 2400, 2265, 2008, 7836, 2547, 1998, 5691, 1029, 2092, 2008, 1005, 1055, 2074, 2026, 3193, 1012, 4312, 1045, 1005, 1040, 2066, 2000, 4067, 2017, 2005, 3752, 2026, 2512, 5054, 19570, 2389, 2852, 12322, 3468, 1010, 1998, 2065, 2017, 5632, 2009, 2292, 2033, 2113, 1012, 2065, 2017, 2134, 1005, 1056, 5959, 2009, 1010, 1045, 1005, 1049, 3374, 1045, 13842, 2115, 2051, 2021, 1045, 2074, 2371, 1045, 2018, 2000, 7615, 2006, 2054, 2074, 3047, 1012, 2156, 2017, 2035, 2044, 1996, 7436, 2015, 999, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1521, 1055, 2590, 2008, 2057, 6848, 1996, 4084, 1997, 1996, 3218, 1999, 2731, 1996, 2568, 1010, 2005, 1996, 2568, 2038, 2035, 11901, 1997, 17575, 2015, 2011, 2029, 2009, 18656, 2993, 1012, 2065, 2017, 4995, 1521, 1056, 8066, 3993, 1999, 11538, 1998, 3773, 2083, 2068, 1010, 2027, 2024, 2200, 3697, 2000, 9462, 1010, 2130, 2065, 2017, 1521, 2128, 14678, 2568, 3993, 2000, 2562, 3422, 2058, 1996, 2568, 1012, 2011, 14435, 1037, 1012, 4097, 2426, 7992, 2015, 1999, 1996, 2225, 1010, 1996, 3151, 3218, 1997, 3228, 2003, 2411, 2641, 1037, 3913, 11870, 6461, 2012, 10910, 1037, 2488, 22785, 1999, 1996, 2279, 2166, 1012, 2096, 2045, 2003, 2498, 3391, 3308, 2007, 2023, 4824, 1010, 2009, 2038, 1037, 3809, 4009, 5963, 1024, 3228, 2003, 2411, 5071, 2426, 2062, 3809, 14617, 2000, 2022, 1037, 4659, 8276, 3218, 1999, 11388, 1010, 19886, 2011, 1996, 7069, 3596, 1997, 9615, 1010, 12683, 2817, 1998, 13804, 1012, 2023, 11213, 2003, 24949, 1998, 2038, 2419, 2000, 1037, 4895, 26657, 2094, 1010, 19112, 2544, 1997, 11388, 1010, 2025, 2069, 2426, 5784, 2021, 2036, 2426, 2530, 14617, 1012, 13271, 1997, 1996, 3218, 1997, 3228, 2024, 2179, 1010, 2004, 2003, 2092, 1011, 2124, 1010, 1999, 1996, 5700, 7992, 6981, 1012, 3383, 10889, 1010, 2012, 2560, 2005, 2070, 1010, 1996, 3228, 6078, 14801, 2045, 10295, 2172, 5995, 1010, 11259, 3723, 1998, 2061, 21850, 10074, 3370, 1010, 1998, 5121, 2079, 2025, 23758, 2000, 1996, 15157, 22807, 1997, 1523, 3913, 11388, 1012, 1524, 1999, 1996, 2220, 6981, 1010, 1996, 3218, 1997, 3228, 2396, 24153, 2015, 1996, 2126, 1999, 2029, 1006, 2788, 1007, 3913, 17843, 1998, 2037, 14916, 4609, 14483, 2102, 1006, 17361, 1998, 10930, 12863, 1007, 15991, 5323, 6550, 2007, 2028, 2178, 1012, 2004, 1996, 6981, 17902, 1010, 1996, 14916, 4609, 14483, 3215, 2191, 1996, 2034, 9218, 1997, 3228, 2011, 10886, 3209, 2000, 1996, 3913, 2711, 2004, 1037, 4022, 1523, 2492, 1997, 7857, 1524, 2030, 1523, 4874, 1997, 5378, 1012, 1524, 1999, 6742, 3408, 1010, 2023, 2965, 2008, 2006, 2037, 2632, 5244, 6241, 2027, 2735, 2039, 2012, 1996, 2341, 1997, 1037, 2188, 1998, 3749, 2037, 5627, 1517, 1998, 12382, 1517, 11343, 2005, 1037, 3276, 2007, 1996, 3913, 2711, 2542, 2045, 1012, 2011, 8383, 28925, 13565, 2043, 1045, 3328, 2046, 25292, 2232, 3567, 18368, 5794, 1010, 1996, 1523, 5415, 11113, 10244, 1997, 3521, 1010, 1524, 1045, 8087, 4950, 1998, 7497, 6718, 2035, 2105, 2049, 10531, 1012, 2027, 2024, 4738, 2006, 1996, 2158, 1045, 1521, 2310, 2272, 2000, 3113, 1517, 1996, 3910, 1010, 8909, 8780, 24277, 1998, 26150, 14056, 1997, 1996, 18906, 6767, 10259, 2050, 14021, 14672, 25917, 2929, 1997, 5185, 7252, 1012, 2852, 1012, 10488, 13380, 4017, 2638, 1010, 1045, 2572, 2409, 1010, 2003, 2108, 10263, 2011, 2120, 2694, 1025, 3531, 3524, 1012, 2067, 2648, 1996, 10531, 1010, 1045, 3254, 2191, 2026, 2126, 2083, 1996, 16299, 11301, 1010, 2039, 1998, 2091, 10425, 2007, 3415, 2066, 10556, 26605, 4130, 1006, 1523, 4130, 1997, 15398, 1524, 1007, 1012, 25292, 2232, 3567, 18368, 5794, 2001, 2328, 2000, 3710, 2004, 1037, 2686, 2005, 7982, 1998, 3521, 12614, 1010, 2021, 2009, 2038, 1996, 2250, 1998, 3853, 1997, 1037, 13804, 2415, 1012, 2023, 7037, 2535, 2003, 5171, 1997, 1996, 18906, 6767, 10259, 2050, 2929, 1521, 1055, 6772, 2008, 2498, 6937, 2064, 2022, 4719, 2302, 1996, 29353, 17680, 1998, 2568, 20938, 13237, 2011, 13804, 1012, 1045, 1521, 2310, 2042, 12560, 1999, 1996, 1996, 2527, 3567, 2850, 4535, 2005, 2416, 2086, 1012, 2055, 2698, 2086, 3283, 1045, 2001, 11441, 2007, 1040, 27268, 10536, 10092, 1006, 11888, 10256, 6245, 1007, 1010, 2029, 5681, 9686, 25015, 4570, 2046, 2440, 1011, 10676, 6245, 1012, 2055, 2048, 1998, 1037, 2431, 2086, 3283, 1045, 2211, 2635, 3424, 3207, 20110, 4630, 14667, 2000, 2491, 1996, 6748, 2139, 27484, 4178, 1012, 1996, 2034, 14667, 1045, 2699, 3271, 2005, 1037, 2096, 1998, 2059, 2790, 2000, 8046, 1012, 1996, 2028, 1045, 1521, 1049, 2478, 2085, 7906, 1996, 2784, 6245, 2012, 3016, 2021, 1045, 2228, 2009, 1521, 1055, 9846, 2026, 2568, 1012, 1045, 1521, 1049, 4531, 2009, 3697, 2000, 10152, 1010, 2026, 3638, 2003, 28440, 1010, 1998, 1045, 1521, 1049, 3352, 5399, 9706, 8988, 16530, 1012, 2026, 2110, 1997, 2568, 2003, 24324, 2007, 2026, 13804, 3218, 1012, 2026, 3460, 4122, 2033, 2000, 2507, 1996, 14667, 2178, 2093, 2706, 2021, 1045, 1521, 1049, 4452, 2026, 2568, 2097, 2468, 14163, 4095, 1998, 2045, 2097, 2022, 2053, 3246, 2005, 2026, 16724, 1999, 2023, 2166, 1012, 2144, 3352, 1037, 7992, 1010, 1045, 1521, 2310, 2359, 2000, 2030, 21351, 2078, 1999, 1996, 1996, 2527, 3567, 2850, 4535, 1998, 23313, 1996, 6893, 1997, 2026, 2166, 2000, 11806, 3218, 1012, 2021, 1045, 1521, 1049, 2496, 1012, 1045, 1521, 1049, 2036, 4986, 2008, 2026, 2783, 2110, 1997, 2568, 2052, 2599, 2000, 4945, 2004, 1037, 17361, 1012, 2151, 4784, 1029, 2043, 2017, 2024, 2017, 1010, 16729, 2003, 16729, 2011, 3487, 9686, 5051, 2829, 1999, 1996, 2397, 22651, 2043, 1996, 2067, 1011, 2000, 1011, 1996, 1011, 2455, 1010, 1523, 2735, 1011, 2006, 1010, 8694, 1011, 1999, 1010, 4530, 1011, 2041, 1524, 4675, 1011, 3226, 2001, 1999, 2440, 7370, 1517, 2043, 1996, 2111, 1521, 1055, 6243, 17776, 7852, 1998, 2435, 2009, 2185, 2005, 2489, 1517, 14278, 20996, 6182, 2409, 2149, 1999, 1037, 8835, 1010, 1523, 2115, 3226, 2003, 2241, 2006, 4784, 1997, 2969, 1011, 7620, 1012, 1012, 1012, 7620, 2965, 2008, 2612, 1997, 2183, 2000, 2900, 2011, 2911, 1010, 2085, 2017, 2064, 2175, 2011, 18414, 13344, 6892, 1012, 2061, 7620, 2003, 2241, 2006, 12596, 3643, 1010, 2029, 2003, 2036, 1996, 3978, 1997, 2256, 2554, 1998, 2256, 4610, 1012, 1045, 3305, 2008, 2017, 2024, 21936, 2008, 2801, 1997, 1031, 3430, 1033, 10585, 1010, 2021, 2017, 2024, 2025, 21936, 1996, 2801, 1997, 7620, 1012, 2017, 2145, 3046, 2000, 5335, 2242, 1012, 3475, 1521, 1056, 2008, 2738, 3430, 6553, 1029, 1012, 1012, 1012, 7992, 2015, 2079, 2025, 2907, 2061, 6118, 2000, 1996, 2801, 1997, 7620, 1012, 1524, 2070, 2706, 2101, 2043, 1045, 2699, 2000, 2224, 2008, 2004, 2019, 8016, 2025, 2000, 3218, 2524, 1010, 2002, 2056, 1010, 1523, 3968, 1010, 2065, 2115, 3218, 2003, 2025, 10787, 1010, 2009, 1521, 1055, 2183, 19448, 11043, 1517, 3435, 1012, 1524, 2061, 2054, 2003, 2023, 10787, 2008, 2003, 2025, 2893, 3236, 2039, 1999, 7620, 1029, 1006, 1998, 2876, 1521, 1056, 2008, 2022, 1996, 2613, 2126, 2000, 5335, 1029, 1007, 10126, 2568, 2003, 1996, 2126, 1012, 1996, 3160, 1997, 3251, 2026, 3218, 2030, 13804, 2003, 2551, 13275, 1996, 2582, 3160, 1997, 2129, 1045, 2113, 1012, 2003, 2026, 13804, 2551, 2065, 1045, 2514, 3407, 1010, 8295, 2030, 9657, 1029, 2065, 1045, 2572, 2625, 11480, 1998, 2489, 1997, 6911, 1011, 3141, 5177, 1998, 3558, 9932, 13728, 11187, 1029, 2065, 1045, 2572, 1037, 2488, 7309, 1010, 18591, 2030, 2711, 1029, 2065, 1045, 2572, 1037, 2062, 3161, 6369, 3270, 2266, 1998, 8945, 19114, 16846, 9189, 2050, 1029, 2065, 1045, 2572, 2062, 4372, 7138, 6675, 1029, 2748, 1010, 3437, 21183, 18622, 28897, 1011, 13128, 14617, 1012, 2087, 1997, 2149, 9544, 2000, 5547, 2009, 2000, 2206, 8128, 1998, 2893, 12361, 3463, 1010, 2172, 2066, 4083, 2129, 2000, 5452, 1037, 18315, 2099, 1012, 2057, 5987, 2122, 3463, 1010, 2061, 2065, 2057, 2131, 2068, 1010, 2256, 13804, 2442, 2022, 2551, 1012, 2008, 2003, 2339, 2057, 4133, 1010, 2926, 2057, 4841, 1012, 2057, 2079, 2009, 2005, 1037, 3114, 2030, 5770, 1012, 1998, 2065, 2009, 2987, 1521, 1056, 2147, 2057, 8081, 2009, 1012, 2004, 1037, 2927, 19960, 6590, 4263, 1010, 1045, 3517, 3112, 1998, 2499, 2524, 2000, 6162, 2009, 1012, 16014, 8231, 1010, 1996, 6211, 1045, 2499, 1010, 1996, 2625, 4621, 2020, 2026, 2536, 4073, 1517, 10320, 12938, 1010, 5461, 1997, 23370, 1010, 22417, 1010, 17174, 13102, 18491, 1010, 6912, 1997, 2097, 1998, 9009, 1010, 1998, 3291, 1011, 13729, 1012, 1045, 2499, 2524, 1998, 2628, 2035, 1996, 8128, 1010, 2664, 2371, 10206, 1998, 22673, 1012, 13804, 2003, 2025, 1037, 6028, 2000, 6162, 2505, 1012, 2065, 2017, 5987, 2242, 1998, 7323, 2009, 1010, 2017, 1521, 2128, 1037, 3899, 11777, 2049, 5725, 1012, 1996, 5514, 2017, 2735, 2000, 2131, 2009, 1010, 1996, 5514, 2009, 5829, 2013, 2115, 10616, 1012, 4225, 2011, 4532, 15456, 2000, 9375, 1996, 4145, 1997, 1996, 12316, 17130, 2003, 2000, 3921, 1996, 11305, 1997, 11953, 11388, 1012, 1996, 12316, 17130, 2003, 1037, 2569, 12764, 2028, 2573, 2007, 1999, 13804, 2004, 1037, 2965, 2875, 14622, 2028, 1005, 1055, 2219, 20256, 3267, 1012, 1996, 2773, 2003, 2056, 2000, 2022, 1037, 21963, 1997, 12316, 2094, 18712, 2072, 5477, 24529, 4048, 2290, 1010, 2029, 7687, 2965, 2000, 14187, 2028, 1521, 1055, 2568, 1006, 12316, 2094, 1007, 2011, 11292, 2000, 1037, 12764, 2040, 7861, 5092, 18389, 4372, 7138, 6675, 2568, 1012, 1999, 11953, 11388, 2045, 2024, 7601, 17897, 16670, 7957, 1997, 17091, 1010, 2021, 1996, 12316, 17130, 2003, 4225, 2011, 1996, 2200, 8200, 2535, 2009, 3248, 1999, 13804, 1012, 12316, 17130, 2015, 2089, 2022, 3520, 23706, 8649, 20718, 11903, 2015, 1010, 9092, 12412, 17091, 1010, 8945, 19114, 16846, 9189, 3022, 1010, 20669, 16167, 2015, 2030, 3439, 4481, 1012, 1999, 2035, 3572, 1010, 1996, 12316, 17130, 2003, 1996, 2200, 24491, 1997, 16724, 1010, 1998, 2296, 7814, 1997, 2009, 2003, 4821, 15902, 1012, 1996, 12316, 17130, 2003, 2028, 1997, 1996, 2061, 1011, 2170, 2093, 6147, 2008, 2024, 1996, 5200, 1997, 9277, 1999, 12436, 3501, 29539, 2532, 1024, 1996, 11972, 1010, 1996, 12316, 17130, 2015, 1010, 1998, 1996, 16167, 2015, 1998, 4830, 4939, 2483, 1012, 2004, 2107, 1010, 2009, 2003, 2056, 2000, 2022, 1996, 7117, 1997, 6259, 2373, 2030, 24718, 1006, 15315, 2102, 1012, 15765, 19114, 1007, 1012, 2129, 2515, 2008, 2147, 1029, 1999, 2023, 4252, 2006, 1996, 9866, 3127, 1997, 17137, 3775, 24844, 2050, 1521, 1055, 1996, 2126, 1997, 1996, 13007, 24158, 19321, 3567, 1010, 2010, 27692, 1996, 28511, 18832, 4487, 11512, 9286, 2015, 1996, 6772, 1999, 2969, 2011, 12843, 1996, 3267, 1997, 2303, 1010, 5346, 1010, 2568, 1998, 13352, 1012, 1999, 1996, 2126, 1997, 1996, 8945, 19114, 16846, 9189, 2050, 1006, 8945, 19114, 10010, 3148, 22879, 5400, 1007, 1010, 17137, 3775, 24844, 2050, 1521, 1055, 8312, 1997, 1996, 4767, 24913, 1010, 2030, 2969, 24913, 1010, 1997, 13352, 2003, 4541, 2034, 2011, 2965, 1997, 1996, 2176, 2568, 20938, 2229, 1517, 2568, 20938, 1997, 1996, 2303, 1010, 1997, 5346, 1010, 1997, 2568, 1998, 1997, 13352, 1012, 2061, 1010, 2429, 2000, 17137, 3775, 24844, 2050, 1521, 1055, 3793, 1010, 2034, 2057, 8339, 2588, 1996, 3267, 1997, 2256, 2219, 2303, 1012, 2023, 2003, 2589, 2011, 25247, 1996, 2303, 1521, 1055, 2236, 1998, 3563, 6459, 1010, 2005, 2742, 1010, 1996, 12520, 2832, 1998, 1996, 17727, 5397, 13978, 2008, 12346, 20445, 4598, 1012, 3227, 4092, 1010, 19960, 16518, 2006, 1996, 2568, 20938, 1997, 2303, 1010, 10842, 2588, 1996, 3267, 1997, 2256, 2219, 2303, 1010, 2003, 1996, 3921, 4541, 1999, 1996, 7632, 16741, 5162, 22481, 1012, 2174, 1010, 2057, 2064, 7949, 2023, 9530, 18532, 24759, 3370, 2000, 1996, 3267, 1997, 1996, 2303, 1010, 5346, 1010, 2568, 1998, 13352, 1997, 2035, 9552, 1010, 2040, 2024, 5787, 3238, 2066, 2686, 1012, 2059, 2009, 4150, 1037, 2731, 1997, 1996, 2568, 2429, 2000, 1996, 24404, 16811, 4130, 1012, 2043, 2057, 9530, 18532, 15725, 1996, 23397, 1997, 2122, 2176, 5876, 1517, 2303, 1010, 5346, 1010, 2568, 1998, 13352, 1517, 2057, 2024, 12560, 1037, 2568, 20938, 13804, 4208, 2006, 1996, 7209, 3606, 1012, 3788, 13804, 1010, 2758, 2360, 8447, 2860, 1057, 9033, 16695, 8943, 1010, 11138, 1996, 11903, 1521, 1055, 22928, 2000, 3218, 2568, 20938, 2096, 1999, 2035, 1996, 2176, 16819, 2015, 1010, 1998, 1999, 2035, 1996, 3450, 1997, 2256, 3268, 1012, 2012, 2256, 13804, 7822, 2015, 1010, 10930, 17701, 3218, 2568, 20938, 1999, 2176, 2367, 16819, 2015, 1012, 2027, 3218, 2568, 20938, 2043, 3788, 1010, 2043, 3061, 1010, 2043, 3564, 1998, 2043, 4688, 2091, 1012, 2027, 2442, 15770, 2568, 20938, 2012, 2035, 2335, 1999, 3649, 2597, 2027, 2024, 1999, 1012, 1996, 3078, 16819, 2005, 2568, 20938, 13804, 2003, 3564, 2007, 3456, 4625, 1012, 2021, 2138, 1996, 2529, 2303, 3685, 19242, 2023, 2597, 2005, 2116, 2847, 2302, 5278, 1010, 2057, 6585, 6993, 1997, 3564, 13804, 2007, 6993, 1997, 3788, 13804, 1012, 2144, 3788, 13804, 2003, 2200, 2590, 1010, 1045, 2052, 2066, 2000, 6848, 2049, 3267, 1010, 2049, 7784, 1010, 1998, 1996, 6666, 5173, 2013, 2049, 3218, 1012, 1996, 3218, 1997, 2568, 20938, 13804, 2064, 2022, 4102, 2000, 16018, 2300, 1012, 2065, 2028, 4122, 2000, 26077, 2300, 1010, 2028, 8509, 1996, 2300, 1999, 1037, 22421, 1010, 8509, 1996, 22421, 2006, 1037, 16247, 1010, 1998, 2059, 4332, 1996, 3684, 2006, 1012, 2021, 2065, 1996, 3684, 2003, 2357, 2125, 1010, 2130, 2005, 2019, 7107, 1010, 1996, 2300, 2097, 2025, 26077, 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, 10461, 2003, 13800, 1012, 2021, 1045, 9544, 2028, 1997, 2256, 2219, 2437, 2000, 2028, 2008, 2003, 3140, 2588, 2149, 1012, 1011, 11166, 1006, 12005, 2532, 4428, 3207, 4674, 1007, 1999, 4649, 8214, 2015, 4241, 19651, 2139, 8945, 18845, 10177, 1006, 2728, 7987, 7971, 2239, 1010, 3386, 1007, 2004, 1045, 2626, 1997, 4649, 8214, 2015, 4241, 19651, 2139, 8945, 18845, 10177, 1999, 2639, 1010, 2028, 1997, 2728, 7987, 7971, 2239, 1521, 1055, 2087, 27523, 13629, 27654, 2573, 1010, 2023, 2220, 2143, 2036, 6017, 1996, 27025, 1997, 2048, 1997, 2605, 1521, 1055, 2087, 3167, 1998, 8909, 10735, 6038, 17510, 3324, 1024, 2728, 7987, 7971, 2239, 1998, 3744, 2522, 6593, 10207, 1012, 2522, 6593, 10207, 1006, 3005, 4085, 2143, 2030, 22809, 1031, 2030, 8458, 4402, 1033, 2033, 6491, 11124, 5422, 2695, 1011, 2088, 2162, 2462, 9501, 1007, 1010, 1999, 2804, 2000, 2010, 3365, 2060, 17571, 1010, 2626, 1996, 7982, 2005, 4649, 8214, 2015, 4241, 19651, 2139, 8945, 18845, 10177, 1010, 11853, 2241, 2006, 11064, 2106, 10624, 2102, 1521, 1055, 2460, 2466, 7445, 3393, 10611, 27870, 3802, 2365, 14736, 7913, 1012, 12005, 2532, 4428, 3207, 4674, 3248, 11166, 1010, 1037, 2402, 2450, 2040, 2038, 2042, 3140, 2046, 1037, 2166, 1997, 15016, 1999, 12498, 29177, 1010, 2605, 1010, 1999, 2344, 2000, 2490, 2841, 1998, 2014, 9932, 2989, 2388, 1006, 11732, 2638, 22132, 27867, 2102, 1007, 1012, 2012, 1996, 2168, 2051, 1010, 20149, 1006, 1996, 16517, 3170, 3814, 14124, 6072, 1007, 2003, 4911, 2039, 2007, 2014, 11155, 7089, 1010, 3744, 1006, 2703, 6795, 1007, 1010, 1998, 1010, 3110, 10147, 7096, 2098, 2011, 2032, 1010, 9530, 3597, 16649, 2019, 9603, 5436, 2005, 7195, 1012, 3967, 2075, 11166, 1998, 2014, 2388, 1010, 20149, 4107, 2000, 2202, 2058, 2037, 13930, 1010, 2693, 2068, 2041, 1997, 1996, 27308, 2027, 2655, 2188, 1010, 1998, 2275, 2068, 2039, 1999, 1037, 21185, 1010, 2715, 4545, 1010, 2007, 2053, 7817, 4987, 1012, 2057, 7523, 2205, 2397, 20149, 1521, 1055, 2995, 17108, 1025, 2016, 2003, 2725, 2035, 1997, 2023, 2061, 2008, 3744, 2097, 1520, 9554, 1521, 3113, 11166, 1010, 2991, 1999, 2293, 2007, 2014, 1010, 5914, 2014, 1010, 1998, 2059, 2468, 1996, 3395, 1997, 2270, 9436, 2594, 9307, 2138, 1997, 11166, 1521, 1055, 2627, 1012, 2035, 1997, 2023, 3632, 2125, 2007, 5119, 6198, 11718, 1010, 2021, 3744, 1010, 2043, 12892, 2007, 1996, 21668, 2791, 1997, 20149, 1521, 1055, 29461, 15395, 2854, 1010, 10854, 2125, 2010, 22846, 10975, 21041, 4095, 2791, 1010, 9979, 2015, 11166, 2750, 2014, 2991, 2013, 4519, 1010, 1998, 1996, 2143, 4515, 2006, 1037, 3602, 1997, 3246, 1998, 7987, 7971, 12488, 2078, 18434, 1012, 1006, 1015, 1007, 1998, 1010, 5262, 1010, 2023, 4310, 5792, 2090, 2522, 6593, 10207, 1998, 7987, 7971, 2239, 2052, 2022, 1037, 2028, 1011, 2125, 1999, 2296, 3168, 1997, 1996, 2744, 1012, 7987, 7971, 2239, 1521, 1055, 2101, 1523, 10040, 2091, 1524, 2806, 1010, 2061, 8235, 2135, 3591, 1999, 2107, 3152, 2004, 4895, 9530, 17130, 2638, 1037, 22294, 1055, 1521, 9765, 14925, 3270, 21512, 15068, 3393, 18834, 2061, 16093, 21031, 15068, 6335, 2310, 4904, 1006, 1037, 2158, 6376, 2030, 1024, 1996, 3612, 6271, 11031, 2073, 2009, 2862, 11031, 1010, 3838, 1007, 1010, 4060, 6873, 19869, 2102, 1006, 3851, 1007, 1010, 9587, 19140, 4674, 1006, 3476, 1007, 1998, 2010, 2060, 9677, 3152, 1010, 2001, 3495, 2012, 10238, 2007, 1996, 3273, 7976, 3012, 1997, 2522, 6593, 10207, 1521, 1055, 24650, 2664, 9099, 23865, 4765, 4432, 1012, 2004, 3817, 4971, 2906, 2685, 2041, 1999, 2010, 2566, 28687, 9491, 2006, 4649, 8214, 2015, 1010, 7987, 7971, 2239, 1521, 1055, 8085, 2397, 3152, 2024, 4417, 2011, 1010, 2426, 2060, 3862, 6459, 1010, 2852, 7875, 4253, 1998, 9762, 1010, 6436, 10906, 1010, 6361, 9975, 2006, 3295, 1010, 2007, 2210, 2030, 2053, 2996, 2147, 1025, 1037, 2659, 1011, 3145, 1010, 4717, 1010, 12689, 12416, 2806, 1031, 1012, 1012, 1012, 1033, 1025, 1037, 3168, 1997, 8887, 1010, 2593, 2058, 14626, 3412, 2030, 4593, 10644, 1010, 7902, 2098, 12403, 4892, 2135, 2011, 2189, 1025, 1037, 2128, 4588, 28198, 14958, 3949, 1997, 3348, 1998, 1997, 7603, 3227, 1025, 1031, 1998, 1033, 1037, 3653, 9527, 3981, 5897, 1997, 2512, 1011, 2658, 5889, 1012, 1006, 1016, 1007, 1999, 4649, 8214, 2015, 1010, 2057, 2064, 2156, 2116, 1997, 2122, 2101, 24828, 20074, 2927, 2000, 20593, 1010, 12167, 2104, 1996, 20153, 1997, 2658, 5889, 1010, 3183, 7987, 7971, 2239, 2052, 6516, 15628, 2079, 2185, 2007, 4498, 1012, 2023, 20001, 2135, 20288, 28616, 2063, 4372, 3496, 2003, 22939, 12589, 3973, 4941, 2000, 1996, 2601, 1011, 20639, 2094, 17617, 9097, 3591, 2011, 2522, 6593, 10207, 1999, 2010, 2117, 2143, 1010, 3393, 6369, 1040, 1521, 4895, 4802, 2063, 1006, 4479, 1007, 1010, 1037, 2088, 1997, 4950, 7577, 7301, 1010, 2058, 2102, 24004, 10624, 4588, 22050, 1010, 18099, 4520, 1998, 18534, 2969, 1011, 4712, 1012, 2073, 7987, 7971, 2239, 4912, 2000, 1041, 20961, 3401, 2370, 1999, 2010, 3152, 1010, 2522, 6593, 10207, 1521, 1055, 2270, 6180, 2003, 1996, 2803, 11198, 1997, 2025, 2069, 3393, 6369, 2021, 2036, 2030, 8458, 4402, 1998, 2010, 3918, 8867, 6925, 2005, 6001, 1010, 3393, 9852, 3802, 2474, 6655, 2063, 1012, 2664, 2028, 2071, 5121, 18868, 7475, 2008, 1010, 1999, 2010, 2101, 9762, 1010, 20288, 5107, 2806, 1010, 7987, 7971, 2239, 2003, 8053, 1523, 2556, 1524, 1999, 2010, 3152, 1025, 1996, 4064, 7258, 1010, 2091, 10526, 13021, 1010, 18847, 2669, 2389, 7982, 6959, 1998, 15063, 6438, 1997, 21177, 2191, 7987, 7971, 2239, 1521, 1055, 2806, 2012, 2320, 4310, 1010, 1998, 2036, 3749, 1037, 3622, 4957, 2000, 2010, 16115, 2004, 1037, 12127, 1012, 1998, 2664, 1010, 2004, 2957, 20996, 6784, 7034, 1999, 1037, 3851, 9491, 1999, 2143, 3226, 1010, 2009, 2003, 10785, 2023, 13249, 1997, 4118, 20792, 2008, 3957, 4649, 8214, 2015, 2172, 1997, 2049, 4138, 2791, 2004, 1037, 3793, 1012, 2005, 20996, 6784, 1010, 2009, 2003, 1996, 5049, 3370, 2090, 2522, 6593, 10207, 1521, 1055, 3292, 2094, 6630, 13911, 2213, 1998, 7987, 7971, 2239, 1521, 1055, 5729, 7191, 2964, 2008, 3596, 1996, 24828, 1998, 23539, 11821, 1997, 1996, 2143, 1012, 2004, 20996, 6784, 2626, 1010, 1031, 1996, 1033, 2087, 9313, 2518, 2055, 4649, 8214, 2015, 2003, 1996, 2126, 1996, 2367, 3798, 1997, 24504, 2024, 7887, 2716, 2046, 2377, 1031, 1529, 1033, 1996, 7982, 2517, 2011, 2522, 6593, 10207, 2003, 2993, 1037, 2358, 8516, 3989, 2030, 2019, 24504, 1997, 1996, 4613, 1997, 2651, 1012, 7297, 1010, 1996, 7982, 2196, 5577, 1996, 4506, 1997, 1996, 3494, 2021, 2467, 4675, 26521, 2068, 1012, 2005, 2742, 1010, 1999, 1996, 3496, 2073, 20149, 4136, 3744, 2008, 2002, 2038, 2496, 1037, 17219, 1010, 2016, 2003, 3061, 2012, 1996, 3332, 1997, 2010, 2482, 1012, 2058, 2014, 3811, 19551, 2616, 1516, 1523, 29536, 2271, 13642, 2480, 4958, 15441, 16655, 24665, 5657, 1031, 1529, 1033, 2006, 16101, 4886, 2102, 10861, 29536, 2271, 11265, 3828, 2480, 14674, 8292, 10861, 1039, 1521, 9765, 24209, 1521, 16655, 26893, 21864, 7367, 2310, 15465, 1524, 1031, 1523, 2017, 1521, 2310, 2496, 1037, 12517, 2361, 1012, 1031, 1529, 1033, 2017, 2123, 1521, 1056, 4025, 2000, 5382, 2054, 1037, 2310, 15465, 3993, 2450, 2003, 5214, 1997, 1524, 1033, 1516, 2057, 2963, 1996, 2614, 1997, 1996, 19521, 13387, 2869, 3048, 2067, 1998, 5743, 1012, 1031, 14387, 1033, 7982, 1998, 2614, 1010, 2895, 1998, 2839, 2024, 2035, 1031, 1025, 1529, 1033, 2045, 2003, 2019, 8290, 1997, 2028, 5549, 1997, 4507, 1998, 2178, 1031, 1529, 1033, 1006, 1017, 1007, 7987, 7971, 2239, 2179, 2551, 2007, 2658, 5889, 2119, 2667, 1998, 4821, 14203, 2004, 2010, 2476, 12506, 1010, 2021, 2130, 1999, 2023, 2087, 8900, 1997, 2010, 3152, 1006, 2007, 1996, 2825, 6453, 1997, 2010, 2220, 2521, 3401, 1010, 4649, 6771, 2229, 9047, 3669, 10997, 1010, 4579, 1010, 1998, 1996, 2601, 7191, 28458, 1010, 4649, 17076, 2229, 4241, 21877, 5403, 1010, 3826, 1007, 1010, 7987, 7971, 2239, 2145, 6464, 3266, 2000, 8815, 2010, 9567, 2000, 1996, 7670, 1997, 2010, 17151, 3334, 2063, 4432, 1012, 3814, 14124, 6072, 1010, 1037, 8837, 1997, 2522, 6593, 10207, 1521, 1055, 2004, 2019, 3364, 2005, 2014, 1523, 2543, 1998, 3256, 1524, 6832, 2964, 1010, 2761, 26176, 1996, 2535, 1997, 20149, 1999, 4649, 8214, 2015, 2007, 1996, 2168, 3168, 1997, 8900, 11655, 3567, 3527, 1010, 2029, 2574, 2419, 2000, 1037, 13249, 1997, 2097, 2090, 14124, 6072, 1998, 7987, 7971, 2239, 1012, 2021, 2004, 7987, 7971, 2239, 2409, 4357, 2121, 2798, 2726, 5212, 2015, 2076, 2019, 4357, 4146, 1999, 2394, 1999, 3000, 2006, 1016, 2244, 3359, 1010, 2116, 2086, 2044, 1996, 6503, 1997, 1996, 2143, 1010, 1996, 2472, 2574, 14917, 1037, 4118, 2000, 4675, 18908, 2014, 5399, 8900, 3921, 1012, 2004, 7987, 7971, 2239, 7383, 1024, 1037, 2767, 2409, 2033, 2008, 1999, 19290, 2665, 1521, 1055, 2148, 2016, 2018, 2000, 3711, 2006, 1996, 2754, 3038, 1010, 1523, 2009, 1521, 1055, 24057, 1524, 1025, 1999, 2413, 1010, 6335, 20228, 13765, 2102, 1012, 2750, 1996, 17839, 1997, 2122, 2616, 1010, 2014, 19817, 18655, 2937, 1521, 1055, 26270, 2081, 2014, 11245, 7861, 21890, 25084, 1024, 1523, 6335, 1529, 6335, 1529, 20228, 13765, 2102, 999, 1524, 1031, 1529, 1033, 2000, 2131, 8424, 1010, 2016, 2109, 2000, 4392, 1037, 2210, 3221, 1997, 2522, 16989, 2278, 2077, 3772, 1012, 2043, 1045, 3382, 2094, 2000, 7523, 2023, 1010, 1045, 2356, 2014, 2000, 2202, 1037, 7367, 2850, 6024, 2612, 1010, 2029, 2016, 18110, 2106, 1012, 2059, 2477, 2318, 2000, 2175, 2488, 1012, 1006, 1018, 1007, 1999, 2725, 2023, 1010, 7987, 7971, 2239, 3653, 8873, 27390, 2098, 2010, 2397, 2806, 1997, 3257, 1010, 1999, 2029, 2010, 21989, 2052, 2022, 13532, 2000, 11806, 17887, 6993, 2076, 2029, 2027, 2052, 2022, 14723, 2000, 9377, 2037, 7982, 2058, 1998, 2058, 1010, 2127, 3053, 2035, 7603, 2001, 10040, 2013, 2049, 2006, 1011, 4950, 6959, 1012, 2011, 4319, 4726, 14124, 6072, 1010, 7987, 7971, 2239, 17214, 5669, 2091, 1996, 3364, 1521, 1055, 16112, 6832, 2964, 1010, 1998, 3140, 2014, 2000, 2468, 2019, 6602, 2000, 28667, 4221, 1010, 2004, 4487, 13102, 12054, 3258, 28239, 2004, 2825, 1010, 2522, 6593, 10207, 1521, 1055, 7982, 1012, 2009, 2003, 2028, 1997, 1996, 2307, 4616, 1997, 1996, 3898, 1010, 2004, 14124, 6072, 4487, 13102, 12054, 3258, 28239, 13621, 2015, 2005, 1996, 6215, 1997, 2035, 2040, 15391, 2014, 1012, 2004, 8788, 20750, 8832, 1010, 1523, 2086, 2101, 1010, 14124, 6072, 2649, 7987, 7971, 2239, 2004, 1520, 1037, 4086, 26508, 1521, 2040, 3140, 2010, 5889, 2000, 10824, 2037, 3167, 17234, 1999, 2344, 2000, 3749, 1520, 1037, 2303, 1010, 2398, 1010, 1998, 1037, 2376, 2008, 2002, 2018, 4217, 1521, 1524, 1006, 1019, 1007, 1012, 3383, 2053, 2488, 6412, 1997, 7987, 7971, 2239, 1521, 1055, 7729, 2875, 2658, 5889, 6526, 1025, 1999, 2122, 2261, 2616, 1010, 14124, 6072, 6669, 4487, 16643, 4877, 2119, 1996, 3997, 1997, 7987, 7971, 2239, 1521, 1055, 2097, 1998, 2010, 3273, 11009, 1012, 2043, 2028, 17722, 2008, 2522, 6593, 10207, 2411, 2649, 1010, 2004, 1999, 1996, 3653, 27753, 10253, 4486, 1997, 3393, 6369, 1040, 1521, 4895, 4802, 2063, 1010, 2010, 7812, 5988, 2004, 5398, 1997, 1523, 1037, 12689, 6254, 1997, 4895, 22852, 2824, 1524, 1010, 1996, 3622, 5688, 2000, 7987, 7971, 2239, 1521, 1055, 2219, 21014, 3921, 4150, 3202, 6835, 1012, 2153, 1010, 4092, 2000, 2798, 2726, 5212, 2015, 1010, 7987, 7971, 2239, 13155, 2008, 2005, 2032, 1010, 24466, 2003, 11566, 4871, 1998, 4165, 1997, 2613, 2477, 1999, 2019, 2344, 2008, 3084, 2068, 4621, 1012, 2054, 1045, 4487, 3736, 9397, 17597, 1997, 2003, 9982, 2075, 2007, 2008, 9313, 6602, 1516, 1996, 4950, 1516, 2477, 2008, 2024, 2025, 2613, 1012, 4520, 1998, 5889, 2024, 2025, 2613, 1031, 1529, 1033, 2026, 2034, 2143, 2001, 2081, 2007, 2658, 5889, 1010, 1998, 2043, 2057, 2018, 2256, 2034, 17887, 1045, 2056, 1010, 1523, 2065, 2017, 2175, 2006, 3772, 1998, 4092, 2066, 2023, 1010, 1045, 2572, 2975, 1012, 1524, 1031, 1529, 1033, 1045, 2228, 2008, 1999, 2060, 3152, 5889, 3713, 2004, 2065, 2027, 2020, 23542, 1012, 2004, 1037, 2765, 1010, 1996, 4378, 2003, 2109, 2000, 8900, 1999, 21031, 22014, 1031, 1529, 1033, 1045, 2215, 1996, 11305, 1997, 2026, 3152, 2000, 2022, 2025, 1996, 2616, 2026, 2111, 2360, 2030, 2130, 1996, 18327, 2027, 4685, 1010, 2021, 2054, 2122, 2616, 1998, 18327, 27895, 1999, 2068, 1031, 1529, 1033, 2057, 2024, 2205, 12266, 1010, 1998, 2256, 12266, 2791, 3248, 2149, 6270, 1012, 2057, 2323, 3404, 3701, 2256, 5346, 1998, 2216, 9456, 2008, 2196, 4682, 2000, 2149, 1012, 2256, 4454, 22995, 2015, 2256, 5372, 4432, 1997, 2477, 1012, 1006, 1020, 1007, 1998, 2664, 2009, 2003, 2023, 1523, 12266, 2791, 1524, 1010, 2023, 27978, 3370, 2007, 1996, 1523, 6270, 1521, 2030, 8900, 1010, 2008, 3464, 1996, 25812, 1997, 2522, 6593, 10207, 1521, 1055, 2147, 2004, 1037, 9974, 1010, 8040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3395, 1024, 1045, 2031, 2179, 1037, 4966, 2008, 1045, 2228, 2017, 2052, 5959, 1064, 22959, 22959, 1011, 4602, 1011, 1996, 4966, 1064, 3364, 1024, 22959, 22959, 11541, 1024, 2189, 2678, 1004, 6759, 1010, 20103, 1004, 4488, 2840, 1996, 15764, 22959, 22959, 2678, 3074, 2006, 1037, 1016, 1011, 4966, 2275, 999, 4966, 1015, 1024, 4774, 3011, 1010, 3057, 2006, 2143, 1006, 2146, 4895, 19023, 19574, 2544, 1007, 1010, 1996, 15775, 16093, 7512, 1010, 7501, 2066, 1996, 4702, 1010, 3828, 1037, 7083, 1010, 5673, 1010, 2003, 2045, 2242, 1045, 2323, 2113, 1029, 1010, 2586, 1997, 1012, 1012, 1012, 2062, 1090, 6660, 7303, 22477, 2204, 4024, 3643, 1012, 1012, 1012, 10889, 17087, 1012, 1996, 16074, 1064, 6930, 1010, 2329, 3996, 2710, 1064, 5718, 1013, 2538, 1013, 2639, 1006, 1018, 2041, 1997, 1019, 3340, 1007, 1000, 3794, 3174, 1011, 2028, 2774, 1010, 1998, 5119, 2075, 1999, 2074, 2460, 1997, 2019, 3178, 1998, 5659, 1011, 2274, 2781, 1010, 2023, 6268, 1997, 22959, 22959, 1005, 1055, 1000, 4602, 1000, 6876, 2003, 1037, 2172, 2062, 12382, 1998, 7721, 19184, 1997, 1996, 2177, 1005, 1055, 13544, 20316, 2459, 1011, 2095, 2476, 2084, 2505, 2747, 2800, 2006, 3729, 1012, 2092, 1010, 2292, 1005, 1055, 2227, 2009, 1010, 2007, 22959, 22959, 1996, 6876, 2020, 2467, 2019, 6827, 2112, 1997, 1996, 7427, 2008, 2949, 1996, 1006, 2047, 1007, 6298, 4872, 1997, 2037, 2525, 1006, 7199, 1007, 2204, 2189, 1012, 1000, 4774, 3011, 1000, 1006, 2013, 3261, 1007, 3504, 19142, 2135, 24209, 22325, 2085, 1024, 1996, 3487, 2937, 10424, 8591, 11344, 1998, 10556, 8569, 3211, 5789, 1011, 2247, 2007, 1996, 10551, 1011, 12403, 10074, 1011, 10115, 7585, 5613, 1998, 11865, 20689, 2923, 4520, 1011, 2928, 2023, 2220, 12528, 2004, 1037, 21864, 17340, 5054, 20925, 22312, 4845, 2051, 1011, 18269, 1012, 1996, 4895, 19023, 19574, 1000, 3057, 2006, 2143, 1000, 2145, 12098, 15441, 2015, 2149, 2004, 2019, 2412, 1011, 22917, 3535, 2000, 13590, 4942, 1011, 23682, 2189, 5476, 5897, 2007, 1037, 19359, 1997, 3054, 1011, 27690, 18286, 1011, 3149, 18856, 17322, 2015, 1006, 1998, 1045, 2079, 3613, 2000, 2128, 13602, 1996, 4086, 4356, 1997, 2008, 11320, 11020, 6313, 8945, 6784, 21165, 16985, 2102, 2358, 12173, 14423, 1037, 15550, 1011, 3139, 6887, 8095, 2594, 6536, 1999, 2014, 11591, 2304, 13594, 7368, 999, 1007, 1012, 2145, 1010, 1000, 3057, 1000, 2196, 9099, 23865, 2015, 1996, 3302, 14841, 28345, 3370, 3253, 2011, 2049, 2969, 1011, 24447, 9610, 2278, 5507, 19092, 1997, 3730, 1011, 4563, 1055, 1004, 1049, 1011, 5507, 2063, 2695, 12228, 2015, 1010, 4496, 2515, 2009, 2428, 2031, 1996, 18453, 2000, 8849, 2030, 14323, 2049, 2219, 9904, 13494, 1012, 1996, 2279, 2678, 1010, 1000, 1996, 15775, 16093, 7959, 3126, 1010, 1000, 2003, 1996, 3074, 1005, 1055, 27148, 18242, 17070, 1012, 2915, 1999, 10305, 1010, 2060, 11108, 2135, 2304, 1011, 1998, 1011, 2317, 1010, 2023, 16021, 2378, 24133, 2135, 14253, 7163, 1011, 8680, 2055, 1037, 26893, 1011, 11690, 20558, 2012, 1037, 4078, 19425, 2414, 5230, 2380, 9648, 1999, 1996, 2757, 1997, 2305, 2003, 1010, 1045, 2903, 1010, 2023, 2177, 1005, 1055, 2189, 7716, 14672, 4588, 17743, 1012, 8331, 1010, 14797, 2892, 12690, 3436, 12586, 2015, 2362, 1996, 9762, 1010, 25567, 9610, 10464, 28817, 3217, 13425, 2000, 14886, 3466, 1012, 1998, 1996, 24407, 4356, 1997, 2216, 2093, 6743, 2094, 17935, 7368, 21826, 1998, 6151, 10924, 1999, 2037, 10768, 24788, 6553, 6151, 8303, 1012, 1012, 1012, 6289, 23644, 1010, 2017, 2180, 1005, 1056, 2424, 2505, 2004, 6171, 2030, 13670, 7699, 12631, 4801, 2004, 2008, 2006, 2397, 1011, 2305, 5830, 2122, 2420, 999, 1996, 2279, 2093, 15281, 1010, 1000, 7501, 2066, 1996, 4702, 1010, 1000, 1000, 3828, 1037, 7083, 1010, 1000, 1998, 1000, 5673, 1010, 1000, 2024, 2035, 2092, 1011, 2124, 1998, 2145, 14036, 2000, 3422, 1012, 1000, 4702, 1000, 2003, 1996, 2190, 1997, 1996, 2093, 1011, 2004, 2664, 2178, 6925, 1997, 11516, 3993, 8463, 1998, 13892, 2594, 9187, 1013, 12339, 1010, 2009, 13585, 21014, 2035, 22016, 1006, 1000, 3282, 3654, 11586, 1010, 1000, 1000, 2958, 2058, 1996, 2314, 6448, 4886, 1010, 1000, 1998, 1000, 16976, 2085, 1000, 1007, 2004, 3409, 3696, 19894, 2015, 2006, 1037, 4990, 2046, 1996, 8894, 2540, 1997, 18993, 14253, 2964, 1012, 1000, 3828, 1037, 7083, 1000, 2038, 2070, 3835, 6298, 4871, 1997, 7992, 10490, 1998, 3128, 19634, 25931, 2102, 1011, 5645, 1999, 1996, 2796, 4153, 1010, 2004, 2092, 2004, 1037, 2261, 6090, 6525, 7712, 9682, 7171, 1997, 1037, 6730, 9814, 1998, 1037, 2345, 14385, 1997, 7842, 4246, 4948, 1011, 11111, 2094, 9978, 14640, 2011, 12723, 7138, 1012, 1000, 5673, 1000, 2003, 4654, 21436, 15706, 15743, 1998, 5515, 4509, 1011, 2023, 2003, 1996, 2028, 2007, 2068, 20540, 2006, 1037, 12187, 1999, 1996, 7139, 1010, 1037, 15708, 7577, 2029, 1006, 6854, 1007, 6427, 2116, 2008, 1996, 2177, 2428, 2106, 21490, 1037, 7142, 2792, 1997, 1000, 9580, 2015, 1997, 1996, 4138, 1998, 3297, 1012, 1000, 1000, 2003, 2045, 2242, 1045, 2323, 2113, 1029, 1000, 2003, 1037, 2738, 13727, 1998, 15275, 2978, 1997, 4438, 2047, 4400, 18628, 2818, 1011, 26483, 16524, 2964, 3794, 2273, 1999, 23848, 14778, 2618, 14999, 16717, 1998, 27206, 4667, 2135, 8622, 21987, 2923, 25545, 1010, 2096, 1000, 2586, 1997, 1996, 7488, 1000, 2003, 6414, 1037, 13109, 6305, 6895, 2094, 1998, 27427, 25538, 16643, 3468, 23264, 16168, 9354, 1997, 11481, 19854, 1998, 13587, 3140, 13798, 1012, 2096, 1037, 4907, 5149, 2210, 2299, 2011, 2993, 1010, 1996, 2678, 2005, 1000, 2047, 4231, 2006, 6928, 1000, 6649, 19857, 5910, 2049, 9280, 23824, 18458, 1011, 24517, 10863, 2019, 5230, 5012, 2929, 1999, 2070, 20293, 2789, 2647, 2610, 2110, 1012, 1999, 2054, 2038, 2000, 2022, 2028, 1997, 1996, 2087, 9145, 5312, 1999, 2035, 1997, 2189, 2678, 2381, 1010, 2256, 29126, 2203, 2039, 7408, 6321, 6090, 20389, 27605, 3070, 2037, 4654, 11314, 4630, 7165, 2066, 17300, 9454, 10587, 12681, 2012, 1037, 5848, 1006, 2625, 1007, 2971, 1012, 1012, 1012, 2096, 2195, 13164, 2669, 2015, 1997, 1052, 12541, 12184, 2818, 8713, 2015, 20010, 21149, 7249, 2105, 2068, 999, 1000, 1996, 22259, 1000, 2003, 1037, 14231, 1998, 2092, 1011, 2081, 3535, 2012, 1037, 8275, 1000, 2444, 1000, 2678, 1011, 2021, 1996, 9458, 2100, 5092, 18620, 22035, 9515, 3372, 17552, 2015, 2009, 2074, 1037, 2210, 13675, 23496, 1011, 11007, 1012, 1996, 8987, 1000, 3748, 3337, 1000, 2085, 3504, 2066, 2019, 25614, 2135, 2058, 16558, 12384, 17584, 1997, 1000, 10874, 1000, 1011, 3690, 9987, 1011, 3143, 2007, 18691, 2695, 1011, 27660, 8894, 1011, 9726, 1011, 13988, 1011, 8639, 1011, 14513, 4520, 1025, 14849, 15787, 10456, 4950, 12113, 1998, 2310, 28228, 11528, 3560, 6276, 1025, 24845, 2075, 1010, 27545, 2078, 1011, 3753, 14106, 1999, 21862, 22083, 3334, 2303, 6773, 1010, 8807, 1011, 5613, 1998, 2070, 22381, 11314, 2075, 2007, 29533, 11365, 4588, 10824, 1025, 2256, 5394, 6731, 2013, 1037, 11937, 14795, 2214, 25367, 1998, 1012, 1012, 1012, 2821, 1010, 1045, 2071, 2175, 2006, 1010, 2021, 2339, 8572, 1029, 2006, 1996, 2060, 2192, 1010, 1000, 1037, 3193, 2000, 1037, 3102, 1000, 1011, 1996, 15607, 2508, 5416, 4323, 1011, 19079, 2015, 2007, 1037, 3722, 2969, 1011, 2139, 28139, 18252, 15966, 2008, 3084, 2009, 3233, 2041, 2004, 2028, 1997, 22959, 1060, 1016, 1005, 1055, 2087, 12266, 2135, 1999, 15338, 3512, 1998, 22249, 6876, 1012, 1000, 14753, 1012, 1012, 1012, 4079, 3393, 14753, 1010, 1000, 5262, 999, 2044, 2008, 2057, 2131, 1000, 1996, 2047, 22959, 22959, 1000, 1011, 1037, 2978, 2625, 5956, 2100, 1010, 1037, 2978, 2062, 1000, 9677, 1012, 1000, 1000, 12536, 1000, 2038, 2070, 3835, 8333, 1997, 8155, 1010, 15536, 2854, 2931, 4275, 10147, 6455, 1998, 2358, 22134, 3436, 2021, 1996, 2678, 2003, 9868, 2011, 2126, 2205, 2116, 2014, 4801, 1011, 15333, 2854, 4950, 5750, 1998, 27622, 2011, 10424, 2368, 14272, 2094, 1010, 4487, 7092, 4630, 6276, 1012, 1000, 3096, 3119, 1000, 2038, 1037, 2062, 4758, 6348, 1998, 3084, 2019, 16004, 2224, 1997, 14954, 4408, 6087, 1998, 4717, 2098, 18876, 2015, 1012, 1000, 1045, 2123, 1005, 1056, 2215, 2115, 2293, 1000, 2003, 2145, 10889, 4840, 1998, 4569, 1012, 1012, 1012, 3383, 2062, 2061, 2084, 2009, 2001, 1996, 2034, 2051, 2105, 1012, 1000, 2035, 2016, 4122, 2003, 1000, 2003, 1037, 15221, 16475, 22504, 4226, 4968, 4861, 2007, 1037, 2843, 1997, 19709, 1010, 19112, 1010, 28322, 2358, 3217, 4783, 1011, 16231, 3896, 1998, 1037, 3492, 1010, 13433, 20807, 2611, 2008, 1045, 2064, 2593, 2293, 2030, 2681, 1012, 1996, 3054, 1011, 13657, 8038, 7962, 2121, 1000, 3809, 1000, 1006, 1996, 2069, 4100, 1011, 4562, 3085, 2617, 2013, 2037, 11721, 21724, 10376, 3993, 1000, 7044, 1000, 2201, 1007, 2003, 1996, 2087, 11265, 25394, 18507, 1997, 1996, 9129, 2182, 1010, 2004, 2003, 1996, 2738, 23100, 15354, 16227, 1010, 1000, 5255, 1996, 2598, 1012, 1000, 1000, 6623, 2088, 1000, 2003, 1037, 25251, 2709, 2000, 2433, 1011, 9882, 1010, 22247, 6298, 2964, 17950, 3651, 2007, 4556, 2858, 1998, 1996, 16376, 3746, 1997, 1037, 8959, 13071, 17171, 3585, 1011, 27604, 8945, 8953, 2015, 1997, 19750, 11940, 3628, 1012, 1000, 2272, 25757, 1000, 2003, 2178, 2307, 2299, 1010, 2348, 1045, 1005, 1049, 2025, 3243, 2061, 2469, 2055, 1996, 2678, 1012, 17012, 2213, 1012, 1012, 1012, 2019, 18257, 2440, 1997, 12564, 2712, 7329, 1010, 1037, 14580, 1011, 10681, 2402, 19558, 22075, 11564, 1010, 1037, 2690, 1011, 4793, 23268, 5149, 19274, 2075, 4487, 27694, 3686, 4398, 5200, 2046, 1037, 12586, 2121, 1010, 1037, 12364, 9099, 6961, 23096, 26964, 2370, 1999, 1996, 18736, 5259, 1012, 1012, 1012, 2024, 2122, 12455, 2035, 3214, 2000, 5050, 12936, 12857, 2040, 2031, 1000, 2272, 25757, 1000, 1029, 1996, 3522, 1006, 1998, 19499, 9446, 3560, 1007, 1000, 3751, 3347, 8237, 8411, 1000, 2003, 1037, 4608, 2100, 4816, 3153, 4487, 15353, 2008, 7545, 3313, 1040, 2440, 4418, 1006, 12935, 1012, 23682, 2189, 1005, 1055, 1000, 1999, 2296, 3959, 1011, 2188, 1037, 2540, 15395, 1000, 1007, 1012, 2023, 2197, 2678, 1011, 2055, 1037, 6046, 1011, 3498, 1010, 6556, 1011, 4758, 1010, 2166, 1011, 7451, 22635, 1011, 10658, 2008, 3402, 2019, 21499, 2015, 2000, 14849, 1010, 4487, 5753, 2100, 2166, 1011, 2003, 2422, 1011, 18627, 1998, 25591, 1010, 2009, 1005, 1055, 2036, 2566, 16070, 2135, 1010, 7976, 2135, 7916, 2066, 1037, 7707, 2632, 5302, 3527, 10755, 2143, 1012, 23564, 2361, 2033, 1010, 22635, 999, 1000, 22959, 22959, 2006, 2143, 1012, 1996, 14100, 1064, 3731, 1010, 5003, 1064, 2340, 1013, 2340, 1013, 2494, 1006, 1019, 2041, 1997, 1019, 3340, 1007, 1000, 2066, 2745, 4027, 1998, 11284, 1010, 22959, 22959, 19727, 2013, 8692, 2004, 2172, 2004, 8692, 19727, 2013, 2068, 1012, 1999, 1996, 3865, 1010, 2027, 2020, 1996, 4239, 2678, 2316, 1010, 14055, 1999, 2152, 4145, 2189, 15281, 2008, 3421, 1996, 9987, 1998, 5476, 5897, 1997, 2008, 5476, 1012, 2011, 2651, 1005, 1055, 4781, 1010, 2116, 1997, 2037, 6876, 2089, 4025, 18178, 2229, 2100, 1998, 6052, 1010, 2021, 2027, 8235, 2135, 4110, 1996, 11305, 1997, 22959, 22959, 1998, 1996, 2047, 6298, 2929, 2000, 2029, 2027, 6272, 1012, 2633, 1010, 1996, 6876, 1997, 2037, 4978, 2024, 9227, 2006, 2023, 4966, 1010, 1998, 2009, 1005, 1055, 2525, 2893, 10821, 2013, 2116, 4599, 1012, 2000, 2068, 1010, 1045, 2360, 1024, 5475, 2091, 1012, 1997, 2607, 1010, 2009, 1005, 1040, 2022, 2307, 2000, 2031, 1037, 4966, 3794, 2035, 1997, 2037, 2189, 6876, 1010, 2021, 2008, 2347, 1005, 1056, 1996, 7848, 2030, 4145, 2369, 1000, 4602, 1012, 1000, 9424, 1013, 12495, 2359, 2000, 2079, 1037, 1000, 4602, 1000, 4966, 3074, 2007, 1996, 2168, 2650, 9863, 2075, 1997, 1996, 1000, 4602, 1000, 3729, 1006, 2007, 2048, 11790, 1024, 2023, 3074, 2038, 1037, 2678, 2000, 1000, 1996, 15775, 16093, 7959, 3126, 1000, 1998, 1000, 5255, 1996, 2598, 1010, 1000, 2029, 2024, 2025, 2956, 2006, 1996, 3729, 1007, 1012, 4599, 2031, 2036, 10865, 2008, 1996, 5023, 6781, 2838, 2024, 2200, 3697, 2000, 3229, 1010, 1998, 2027, 1005, 2128, 2157, 1012, 1045, 2985, 2195, 2781, 22042, 2026, 6556, 2000, 22149, 2026, 2126, 2875, 3056, 7636, 1998, 3668, 6876, 1998, 3092, 2039, 3243, 10206, 1012, 2174, 1010, 2065, 2017, 2175, 2000, 1996, 2316, 1005, 1055, 2880, 4037, 1998, 2175, 2000, 1996, 1000, 3198, 17870, 1000, 2930, 1010, 2017, 1005, 2222, 2424, 1037, 2862, 1997, 14044, 10247, 2000, 2131, 2000, 1996, 6781, 2838, 1012, 3404, 2033, 1010, 2009, 1005, 1055, 6082, 2084, 2017, 2228, 1012, 2070, 1997, 1996, 5023, 2838, 2421, 2019, 2324, 3371, 2544, 1997, 1000, 2047, 4231, 2006, 6928, 1010, 1000, 2019, 3668, 2544, 1997, 1000, 3748, 3337, 1010, 1000, 1037, 2252, 2678, 1997, 1000, 4774, 3011, 1000, 1006, 2023, 2028, 1999, 3327, 2003, 1037, 7570, 4140, 1007, 1010, 1998, 2060, 19430, 15281, 5306, 2004, 2521, 2067, 2004, 1996, 2220, 3865, 1012, 2096, 1045, 2052, 2031, 4669, 1037, 4966, 3794, 16647, 6876, 2066, 1000, 23358 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 13745, 20464, 2100, 16020, 3578, 1006, 5775, 1516, 4585, 1007, 2036, 2124, 2004, 1996, 26060, 3578, 1010, 2001, 2019, 2220, 9949, 6726, 3578, 2881, 2011, 24794, 26060, 1998, 3832, 2005, 3293, 9099, 1011, 4448, 9949, 10093, 13699, 27629, 1010, 5062, 1010, 1998, 6947, 1011, 1997, 1011, 4145, 13616, 1997, 9949, 2373, 6726, 1012, 2009, 2001, 2196, 3929, 6515, 1010, 1998, 1996, 3578, 2001, 7002, 1999, 4585, 1012, 1996, 3578, 2001, 2315, 2044, 2508, 1055, 1012, 13745, 1010, 1037, 2530, 5160, 1998, 13448, 2040, 2018, 4156, 2455, 2005, 1996, 23855, 1999, 5370, 3511, 1010, 2146, 2479, 1010, 2055, 8442, 2661, 2013, 7128, 1012, 2182, 2002, 2328, 1037, 7001, 2451, 2124, 2004, 13745, 20464, 2100, 16020, 1011, 2006, 1011, 2614, 1012, 13745, 3373, 2008, 2007, 1996, 7375, 1997, 26060, 1005, 1055, 1000, 2088, 2291, 1000, 1037, 1000, 2557, 2103, 1000, 2052, 13368, 1999, 1996, 2181, 1012, 2002, 3253, 26060, 3263, 4631, 1006, 6282, 5292, 1007, 1997, 2455, 2485, 2000, 1037, 2737, 2240, 2006, 2029, 2000, 3857, 2010, 9949, 12108, 3578, 1998, 5911, 4322, 1012, 26060, 2211, 4041, 1996, 13745, 20464, 2100, 16020, 3578, 4322, 6187, 1012, 6068, 1998, 1999, 5775, 2810, 2211, 2006, 1996, 2455, 2379, 2146, 2479, 2614, 1012, 4944, 8422, 2317, 2881, 1996, 13745, 20464, 2100, 16020, 4322, 2364, 2311, 1012, 1996, 3578, 2001, 2881, 2011, 1059, 1012, 1040, 1012, 11465, 1010, 2019, 5482, 1997, 2317, 1012, 4804, 2005, 26060, 1005, 1055, 2622, 2001, 3024, 2011, 6383, 21691, 2015, 1998, 2060, 6957, 19640, 2015, 1012, 1996, 2622, 2001, 3322, 6153, 2011, 1996, 7272, 1046, 1012, 1052, 1012, 5253, 2040, 2018, 11241, 1002, 5018, 1010, 2199, 1999, 1996, 4322, 1006, 2062, 2084, 1002, 1017, 2454, 1999, 2268, 6363, 1007, 1012, 1999, 2238, 5774, 26060, 2333, 2010, 5911, 3136, 2013, 2010, 5395, 2395, 5911, 2000, 13745, 20464, 2100, 16020, 1012, 1996, 2622, 2743, 2046, 2116, 3471, 1012, 10346, 2319, 19562, 2015, 2211, 19920, 1999, 19739, 25394, 2884, 5302, 8879, 3490, 1005, 1055, 2291, 2029, 2318, 3180, 26617, 6726, 1999, 5778, 1998, 2790, 2000, 2022, 2725, 2009, 2007, 2521, 2625, 6450, 3941, 1012, 2011, 5778, 26060, 1005, 1055, 2622, 1010, 2145, 2104, 2810, 2349, 2000, 3365, 2640, 3431, 1010, 2743, 2041, 1997, 2769, 1998, 5253, 6430, 2000, 4636, 2009, 2151, 2582, 1012, 2070, 1999, 1996, 2811, 2211, 3810, 2114, 1996, 2622, 6815, 2009, 2001, 1037, 28520, 1012, 26060, 2699, 2000, 9699, 2062, 3037, 1999, 13745, 20464, 2100, 16020, 2011, 8669, 2049, 3754, 2000, 19818, 9949, 6451, 1010, 2021, 5253, 2001, 2025, 4699, 1010, 1998, 1996, 5778, 1000, 4138, 2158, 1005, 1055, 6634, 1000, 2006, 2813, 2395, 9550, 2039, 2151, 2582, 5211, 1012, 2011, 2251, 5692, 5253, 1006, 1998, 1996, 2060, 9387, 1007, 2633, 2787, 2027, 2052, 2025, 3073, 2151, 3176, 12135, 1012, 1999, 2089, 5497, 26060, 1005, 1055, 13979, 2006, 15122, 2783, 9693, 1998, 2060, 4725, 1997, 2373, 6726, 13735, 1010, 9190, 2075, 16664, 10504, 1998, 4786, 1037, 5729, 7312, 1997, 4804, 2000, 1996, 13745, 20464, 2100, 16020, 3578, 1012, 1999, 2019, 3535, 2000, 2424, 4522, 4804, 26060, 17099, 1996, 2578, 1997, 1996, 13745, 20464, 2100, 16020, 4322, 2021, 2002, 2001, 2777, 2007, 2210, 3112, 1012, 2011, 2023, 2051, 26060, 2018, 2036, 2881, 1996, 26060, 14027, 2012, 13745, 20464, 2100, 16020, 1998, 2550, 26060, 17085, 2015, 2005, 5096, 2000, 2536, 5661, 1012, 2011, 5497, 1010, 2144, 26060, 2071, 2025, 2424, 2151, 2062, 2067, 2545, 1010, 2087, 1997, 1996, 2609, 1005, 1055, 4023, 2018, 2000, 2022, 3844, 2091, 1012, 5126, 2020, 4201, 2125, 1999, 5518, 1010, 2021, 3033, 1997, 1996, 2311, 2815, 1999, 2224, 2127, 5528, 1012, 1999, 5316, 1010, 1996, 3200, 2001, 18921, 20464, 24768, 2005, 1996, 2034, 2051, 1012, 26060, 4013, 19405, 1037, 2047, 14344, 2013, 2577, 1039, 1012, 7782, 2102, 1010, 21584, 1997, 1996, 28806, 12881, 1011, 29285, 3309, 1012, 1996, 4322, 2001, 6822, 4704, 2105, 5184, 1010, 1998, 1996, 3578, 3252, 20111, 1012, 2090, 4878, 1998, 4936, 1010, 26060, 1005, 1055, 16156, 4895, 22401, 3709, 1010, 1998, 2043, 1996, 4636, 2545, 2359, 2000, 2113, 2129, 2027, 2020, 2183, 2000, 27639, 2037, 10518, 1010, 26060, 2001, 4039, 2000, 2507, 23045, 6998, 1012, 3780, 19377, 1997, 1996, 2051, 12599, 2009, 1000, 26060, 1005, 1055, 2454, 1011, 7922, 26272, 1012, 1000, 1996, 4322, 1005, 1055, 2364, 2311, 2001, 25769, 1998, 3158, 9305, 3550, 2105, 2023, 2051, 1012, 7859, 1997, 1996, 13745, 20464, 2100, 16020, 2622, 2089, 2031, 5201, 2000, 1996, 5177, 12554, 26060, 5281, 2076, 2023, 2558, 1012, 11211, 2000, 1996, 3167, 10576, 1997, 13745, 20464, 2100, 16020, 2001, 1996, 6301, 2543, 2012, 3486, 2148, 4833, 3927, 1010, 2047, 2259, 1010, 1999, 1996, 2311, 2029, 7431, 26060, 1005, 1055, 5911, 1012, 1999, 2023, 2543, 1010, 2002, 2439, 2172, 1997, 2010, 3941, 1010, 3964, 1998, 5491, 1012, 2023, 2404, 26060, 2046, 1037, 2110, 1997, 5729, 6245, 1012, 2695, 1011, 26060, 3690, 1999, 4936, 1010, 3423, 6095, 1997, 1996, 13745, 20464, 2100, 16020, 3200, 2001, 4015, 2000, 2577, 7782, 2102, 1997, 1996, 28806, 12881, 1011, 29285, 3309, 2005, 1037, 1002, 2322, 1010, 2199, 7016, 1006, 2055, 1002, 4278, 1010, 2199, 1999, 2268, 6363, 1007, 1012, 1999, 2251, 1018, 1010, 4585, 1010, 2076, 2088, 2162, 1045, 1010, 1996, 3578, 2001, 10676, 2039, 2007, 21719, 2006, 4449, 1997, 1996, 2142, 2163, 2231, 2029, 8615, 2446, 16794, 2020, 2478, 2009, 1998, 2008, 2009, 2071, 2022, 2109, 2004, 1037, 8637, 2005, 2446, 12622, 1012, 26060, 2001, 2025, 1999, 2047, 2259, 2076, 1996, 3578, 1005, 1055, 6215, 1012, 2577, 7782, 2102, 6257, 2000, 2191, 1996, 3200, 2800, 2005, 5096, 1012, 2006, 2258, 2322, 1010, 4798, 1010, 26060, 2439, 2019, 5574, 1997, 8689, 6431, 2010, 2067, 2545, 1999, 1996, 2117, 18921, 20464, 2891, 5397, 1012, 2023, 6464, 5299, 26060, 2041, 1997, 2151, 2925, 2458, 1997, 1996, 4322, 1012, 1999, 4849, 1010, 1996, 3200, 6095, 2001, 4015, 2000, 4787, 1048, 1012, 3779, 1997, 6613, 1012, 2006, 2233, 1020, 1010, 3912, 1010, 3269, 6305, 6072, 1010, 4297, 1012, 4156, 1996, 4322, 1005, 1055, 2455, 1998, 3525, 12019, 2009, 2000, 8152, 3238, 6302, 3688, 1010, 4297, 1012, 12943, 7011, 3840, 4149, 1996, 3200, 2013, 8152, 3238, 1998, 2003, 1996, 2783, 3954, 1012, 1996, 2364, 2311, 3464, 3061, 2000, 2023, 2154, 1012, 12943, 7011, 2109, 1996, 2609, 2013, 3440, 2000, 2826, 2059, 2701, 1996, 4322, 1012, 1996, 2609, 2038, 17215, 1037, 2345, 27686, 1997, 5949, 2550, 2076, 2049, 6302, 3688, 3690, 1012, 1996, 4550, 2039, 2001, 4146, 2104, 1996, 17423, 1997, 1996, 2047, 2259, 2110, 2533, 1997, 4483, 5680, 1010, 1998, 3825, 2005, 2011, 12943, 7011, 1012, 1999, 2268, 2027, 2404, 1996, 3200, 2039, 2005, 5096, 2005, 1002, 1015, 1010, 13757, 1010, 2199, 1012, 12943, 7011, 2038, 17099, 2008, 1996, 2455, 2064, 1523, 2022, 5359, 3929, 5985, 1998, 2504, 1012, 1524, 2009, 2758, 2009, 2985, 1002, 1019, 2454, 2083, 2244, 2263, 9344, 2039, 3165, 1998, 28353, 27759, 1012, 8347, 4073, 2006, 2337, 2403, 1010, 3476, 1010, 1996, 14495, 2270, 5770, 3840, 9566, 14650, 2237, 3439, 3404, 2001, 2511, 1012, 2009, 3479, 1996, 13745, 20464, 2100, 16020, 4322, 2000, 2022, 4351, 2004, 1037, 3181, 2609, 1998, 2004, 1996, 2034, 2609, 2000, 2022, 6560, 2011, 1996, 3404, 2006, 2233, 1017, 1010, 3476, 1012, 1996, 9566, 14650, 2237, 3181, 3404, 2001, 24501, 15459, 5732, 2011, 5813, 2006, 2337, 1015, 1010, 3285, 1012, 2045, 2020, 2196, 2151, 14651, 2081, 2044, 1037, 3423, 5448, 2001, 2363, 1025, 2009, 2001, 2196, 2275, 2039, 7919, 1012, 2006, 2251, 1021, 1010, 3299, 1010, 1037, 11952, 2013, 8936, 2001, 5361, 2011, 4505, 2013, 9566, 14650, 2120, 5911, 2379, 1996, 4211, 1997, 1996, 2311, 1012, 2009, 9631, 1024, 1999, 2023, 2311, 9103, 2135, 2184, 1010, 3299, 2881, 2011, 8422, 2317, 1010, 4944, 2141, 15488, 4014, 8405, 1010, 8936, 8708, 1517, 2351, 2047, 2259, 1010, 1057, 1012, 1055, 1012, 1037, 1012, 3826, 3833, 1999, 5775, 1516, 5497, 13745, 20464, 2100, 16020, 4121, 2557, 2276, 2007, 13438, 3578, 19446, 2519, 2152, 1013, 3908, 4585, 1013, 1010, 2029, 2001, 2000, 2031, 2366, 2004, 2010, 2034, 2088, 1999, 3638, 1997, 6036, 2705, 5315, 1997, 26060, 1005, 1055, 4182, 1998, 3263, 2705, 5315, 1997, 1996, 4336, 1997, 1996, 2034, 1057, 1012, 1055, 1012, 1037, 1996, 3696, 2001, 7376, 2013, 1996, 3200, 1999, 2281, 2268, 1012, 2019, 10812, 27398, 2003, 5378, 1037, 1002, 2456, 10377, 2065, 2009, 2003, 2513, 2000, 1996, 3200, 1012, 8259, 1997, 1996, 3252, 2004, 1037, 2120, 8637, 2003, 15497, 6503, 1997, 3269, 21933, 7382, 14643, 3258, 2075, 3450, 2011, 2049, 2556, 3954, 1012, 1999, 3299, 1010, 2019, 4646, 2001, 6406, 2000, 23388, 1996, 2364, 2311, 2005, 10328, 2006, 1996, 2120, 4236, 1997, 3181, 3182, 1006, 22424, 1007, 1012, 2009, 3478, 2000, 2131, 6226, 1012, 1996, 26060, 13745, 20464, 2100, 16020, 2622, 1010, 4297, 1012, 2001, 2511, 1999, 2807, 2005, 1996, 3800, 1997, 6224, 11073, 1997, 1996, 13745, 20464, 2100, 16020, 5911, 1011, 2436, 2311, 1998, 1996, 26060, 3578, 3192, 2006, 2119, 1996, 2047, 2259, 2110, 1998, 22424, 1012, 2049, 3260, 2003, 1996, 8347, 1998, 19293, 2128, 8557, 1997, 13745, 20464, 2100, 16020, 1010, 1996, 2301, 1011, 2214, 5911, 1997, 5992, 7156, 24794, 26060, 2284, 1999, 5370, 3511, 1010, 2146, 2479, 1010, 2047, 2259, 1012, 1999, 2255, 2807, 1037, 2117, 4646, 2005, 5337, 6488, 2001, 6406, 1012, 1996, 2047, 2259, 2110, 2436, 1997, 6328, 1010, 8640, 1998, 3181, 8347, 4146, 29589, 1998, 4340, 1996, 4322, 6010, 2047, 2259, 2110, 9181, 2005, 3181, 8259, 1012, 1037, 2117, 3942, 2001, 2081, 2006, 2337, 2423, 1010, 2268, 1012, 1996, 2609, 3685, 2022, 5068, 2127, 2009, 2003, 4222, 2011, 1037, 5627, 3954, 1012, 26060, 2671, 2415, 2012, 13745, 20464, 2100, 16020, 1999, 2257, 2262, 1010, 4986, 2055, 2019, 6835, 3749, 2000, 5309, 1996, 2609, 1998, 4503, 2009, 2005, 3293, 2224, 1010, 1996, 1051, 4017, 4168, 2389, 3390, 1037, 28536, 2005, 1996, 26060, 2671, 2415, 2000, 5333, 1002, 1015, 1012, 1021, 2454, 1999, 2344, 2000, 5309, 1996, 3200, 1010, 2007, 1996, 3246, 1997, 2776, 2311, 1037, 2688, 2006, 1996, 5286, 1012, 1996, 2110, 1997, 2047, 2259, 3530, 2000, 2674, 11440, 2039, 2431, 2008, 3815, 1012, 2004, 1997, 2255, 1017, 1010, 2262, 1010, 1996, 3125, 1997, 1002, 15678, 1010, 2199, 2018, 2042, 2584, 1999, 2074, 2058, 2416, 2420, 2044, 1037, 1002, 3943, 1010, 21211, 13445, 2013, 1996, 6443, 1997, 1996, 26060, 2143, 1000, 10341, 2013, 26742, 1011, 1996, 4432, 1997, 24794, 26060, 1000, 2404, 2068, 2058, 1996, 2327, 1012, 1037, 2561, 1997, 1002, 1015, 1012, 4261, 2454, 2001, 6955, 1010, 1996, 9844, 3946, 2013, 1996, 2110, 1997, 2047, 2259, 7545, 1996, 2561, 5067, 2000, 2058, 1002, 1016, 1012, 1016, 2454, 1012, 1996, 15726, 2097, 2022, 2109, 2000, 4636, 1996, 9344, 1998, 6418, 1997, 1996, 3200, 1012, 26060, 1010, 13745, 20464, 2100, 16020, 1998, 1996, 2688, 15524, 3947, 2097, 2022, 1996, 3395, 1997, 1037, 2047, 4516, 2108, 2550, 2170, 1000, 3578, 2000, 1996, 2111, 1011, 26060, 1005, 1055, 3959, 2012, 13745, 20464, 2100, 16020, 4247, 1012, 1000, 2006, 1016, 2089, 2286, 1010, 1996, 2177, 2623, 2008, 1996, 2609, 2018, 2042, 3734, 1012, 4322, 5286, 13745, 20464, 2100, 16020, 2003, 2284, 2379, 1996, 5370, 3511, 2695, 2436, 1998, 5370, 3511, 2543, 2160, 2006, 2799, 2423, 2050, 1999, 5370, 3511, 1010, 2146, 2479, 1010, 2047, 2259, 1012, 13745, 20464, 2100, 16020, 2001, 4055, 2046, 2048, 2364, 5433, 1012, 1996, 3578, 1010, 2029, 2001, 2284, 1999, 1996, 2067, 1010, 1998, 1996, 2364, 2311, 17202, 1996, 2972, 4322, 5286, 1012, 2012, 2028, 2051, 1996, 3200, 2001, 2055, 3263, 4631, 1006, 1014, 1012, 6282, 2463, 2475, 1007, 1012, 2085, 2009, 3774, 1997, 3621, 2625, 2084, 2385, 4631, 1006, 3515, 1010, 2199, 25525, 1007, 1012, 1996, 3536, 1011, 10366, 3578, 2001, 19609, 2519, 1006, 5401, 1049, 1007, 4206, 1998, 1996, 2452, 6030, 6273, 2519, 1006, 2538, 1049, 1007, 1999, 6705, 1012, 2009, 2018, 1037, 4583, 1011, 10228, 3886, 1006, 2070, 3189, 2009, 2001, 1037, 2488, 9283, 3430, 1010, 2107, 2004, 6967, 1007, 19610, 2483, 27921, 7476, 3252, 2012, 1996, 2327, 1006, 3615, 2000, 2004, 1037, 2452, 6030, 1007, 1012, 2881, 2011, 2028, 1997, 8422, 2317, 1005, 1055, 9228, 1010, 1996, 3252, 2001, 2107, 2004, 2000, 3499, 2169, 3538, 2000, 2022, 2579, 2041, 2065, 2734, 1998, 2999, 2004, 4072, 1012, 1996, 11659, 2993, 2001, 2000, 2031, 2042, 6113, 2011, 1037, 3263, 11382, 8261, 19321, 2225, 2075, 4580, 15122, 2783, 3919, 13103, 1012, 4218, 1996, 3578, 1010, 1037, 9093, 7569, 6036, 2519, 1006, 4261, 1049, 1007, 2046, 1996, 2598, 1012, 7032, 3707, 12432, 2020, 2872, 2028, 3091, 2044, 2178, 3998, 3176, 2519, 1006, 6365, 1012, 1018, 1049, 1007, 1999, 2344, 2005, 1996, 3698, 1010, 1999, 26060, 1005, 1055, 2616, 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, 9152, 19466, 2964, 1998, 2529, 2916, 2011, 10958, 1521, 2003, 8273, 8670, 21638, 15544, 26320, 2013, 1996, 5893, 2248, 10882, 4160, 2232, 3034, 2218, 1999, 25366, 1010, 2148, 3088, 2006, 1996, 2324, 1011, 2322, 2255, 2494, 2043, 2057, 2831, 2055, 2715, 18444, 1010, 2055, 2576, 1998, 3423, 8474, 1998, 8474, 8800, 2000, 1996, 2110, 1010, 2059, 2057, 2442, 4562, 1999, 2568, 2008, 1996, 5125, 2025, 2069, 2128, 26373, 2015, 2381, 2021, 2036, 18444, 1012, 2005, 2023, 3114, 1010, 2013, 2256, 5499, 7339, 1998, 3325, 1010, 2057, 2323, 7634, 1996, 7444, 17158, 3408, 1997, 2651, 1006, 2107, 2004, 1520, 2529, 2916, 1521, 1007, 2007, 1037, 2204, 5468, 1997, 8040, 23606, 28775, 6491, 1012, 9308, 1010, 2057, 2442, 2079, 2023, 2926, 2138, 1010, 2004, 2057, 2024, 2035, 5204, 1010, 1996, 4507, 1997, 1996, 2715, 2088, 2003, 17253, 2011, 1996, 3279, 1997, 2151, 2613, 3802, 16066, 1012, 2023, 2003, 1997, 2607, 2025, 1037, 9373, 2030, 12465, 9185, 1010, 2738, 2009, 2003, 2013, 1996, 6742, 3325, 1997, 2342, 1012, 2035, 5784, 1997, 2375, 2024, 2142, 1999, 2037, 5142, 2005, 1996, 6580, 1997, 1996, 7486, 1999, 2023, 2287, 1012, 2045, 2003, 2053, 4797, 2008, 1996, 7486, 1010, 2076, 1996, 4766, 2381, 1997, 1996, 2715, 3690, 1010, 2031, 2025, 2042, 1996, 27675, 2021, 2738, 2172, 2062, 2411, 1996, 5694, 1012, 2256, 2219, 2451, 1999, 2762, 2038, 2209, 3677, 2000, 7486, 2013, 2035, 2058, 1996, 2088, 1010, 7486, 2040, 2031, 2042, 5360, 2004, 5694, 1012, 2057, 2031, 2947, 2042, 3140, 2007, 8015, 2000, 3325, 1998, 7409, 2037, 6580, 1999, 1996, 2536, 5711, 1997, 2049, 4895, 21508, 1012, 2362, 2057, 2031, 8385, 7686, 2588, 1996, 2529, 3663, 1997, 1996, 21318, 5603, 9236, 1010, 13970, 17811, 1010, 12896, 1010, 18178, 8661, 2015, 1010, 16163, 2015, 1998, 25267, 1999, 2023, 2287, 1997, 14635, 1012, 2085, 2651, 1010, 6854, 1010, 2471, 2296, 9983, 2442, 4562, 7409, 2000, 2049, 2219, 3327, 10576, 5994, 7486, 1012, 2004, 1037, 2647, 1045, 2052, 2066, 4780, 2000, 3543, 2588, 2256, 4664, 1997, 2023, 10576, 1010, 2061, 2000, 3713, 1010, 1998, 2000, 2391, 2041, 2256, 2647, 10336, 1997, 3325, 1024, 1996, 16163, 2162, 1012, 2011, 4780, 12843, 1996, 3227, 12711, 5919, 1997, 2023, 2162, 2057, 2097, 3305, 1996, 13185, 1998, 1996, 9509, 1997, 2635, 2256, 6322, 1999, 2885, 5667, 1012, 2011, 2965, 1997, 1996, 5025, 3663, 1999, 9562, 2057, 2097, 2059, 2022, 2583, 2000, 3921, 1996, 5025, 3395, 2104, 6594, 1010, 8419, 1996, 2535, 1997, 2529, 2916, 1999, 1996, 2287, 1997, 9152, 19466, 2964, 1012, 2292, 2149, 4780, 10825, 9731, 1997, 2054, 2057, 2018, 2000, 4562, 7409, 2000, 2076, 1996, 16163, 2162, 1024, 1011, 1037, 5152, 2111, 2001, 3402, 4457, 1010, 26345, 1998, 23044, 2011, 2049, 2280, 14754, 1998, 2814, 1012, 1011, 1037, 2885, 10743, 5462, 2000, 8438, 1998, 3005, 6259, 10100, 2596, 2000, 2022, 2241, 2006, 10723, 3412, 14522, 2815, 4333, 1998, 6439, 2023, 2162, 1012, 1011, 6693, 7958, 2596, 1999, 1996, 19733, 4077, 1996, 2715, 1010, 16012, 1011, 2576, 2224, 1997, 2486, 1999, 1996, 2433, 1997, 3742, 1010, 8601, 6472, 9040, 1012, 1011, 1996, 4895, 25775, 5034, 15878, 7389, 5555, 1012, 1011, 2007, 1996, 14700, 3820, 1010, 1996, 16163, 2015, 2020, 20114, 1997, 2151, 3382, 1997, 12823, 2037, 2219, 3700, 2030, 12601, 1012, 1011, 1996, 3742, 1997, 1996, 7486, 2179, 3209, 4566, 2039, 1037, 7162, 1012, 1999, 1996, 2558, 3202, 2044, 1996, 2162, 1010, 1045, 2870, 2150, 1037, 7409, 2000, 2070, 2590, 1998, 9145, 2824, 1012, 1045, 2052, 2066, 2000, 5254, 2074, 2048, 4973, 1024, 1999, 1996, 14575, 1045, 2001, 7409, 1517, 1998, 2011, 1996, 2126, 1010, 1045, 2001, 1996, 2069, 5152, 2556, 1517, 2000, 2129, 1996, 11593, 1997, 1996, 16163, 2390, 2020, 5496, 2077, 1996, 2162, 12152, 1997, 2383, 14424, 1520, 2529, 2916, 1521, 1999, 2603, 12107, 1012, 2076, 1996, 2168, 2558, 1010, 2004, 2343, 1045, 4371, 2102, 4783, 3995, 7903, 2409, 2033, 1010, 2062, 2084, 2531, 1010, 2199, 7486, 2439, 2037, 3268, 1999, 9562, 1012, 2043, 1996, 11537, 6360, 11323, 2074, 2129, 25506, 1996, 8931, 2020, 1010, 2122, 2273, 2020, 2741, 2067, 2188, 2005, 1996, 2051, 2108, 1012, 2096, 2006, 1037, 3942, 2000, 18354, 2028, 1997, 1996, 11593, 10865, 2008, 2010, 2155, 2145, 2018, 2000, 3637, 2006, 2417, 2892, 9705, 1012, 1999, 4068, 1010, 1037, 2931, 4387, 1997, 1996, 5502, 2005, 12603, 7315, 2098, 2308, 1997, 5034, 15878, 7389, 5555, 1010, 1999, 3433, 2000, 2026, 3160, 2004, 2000, 2339, 1996, 12653, 2435, 2053, 12407, 2004, 2000, 1996, 5152, 4767, 1997, 1996, 2308, 1010, 6727, 2033, 2096, 19750, 2008, 2027, 2052, 4728, 2031, 2363, 2053, 2490, 2013, 1996, 7327, 1012, 1045, 2079, 2025, 2215, 2000, 23120, 2151, 2582, 2006, 2023, 2742, 1997, 1996, 5025, 6322, 1997, 1996, 7486, 1999, 1996, 2715, 2287, 1012, 2738, 2292, 2149, 3921, 1996, 3395, 1999, 2192, 1010, 8419, 1010, 2054, 2003, 1996, 3574, 1997, 2122, 6659, 1998, 9145, 2824, 1029, 2054, 8220, 2089, 2057, 4009, 2013, 2068, 1029, 20506, 15004, 2122, 7827, 3980, 2020, 3262, 10395, 1010, 2030, 2025, 10395, 2004, 1996, 2553, 2089, 2022, 1010, 2011, 1996, 16163, 7486, 1999, 1996, 2206, 5450, 1024, 1011, 2076, 1996, 2162, 10079, 1010, 1996, 7327, 1998, 1996, 3915, 2020, 4011, 2000, 4047, 9562, 2013, 6215, 1012, 1011, 2044, 1996, 2162, 1996, 2529, 2916, 8593, 2020, 2000, 24251, 1996, 6114, 1012, 1011, 1996, 2248, 5434, 1997, 3425, 2020, 2000, 2156, 2008, 3425, 2001, 2589, 1012, 1011, 1996, 4895, 2001, 2000, 2393, 1996, 2406, 2000, 9878, 2049, 2916, 1998, 2110, 12601, 1012, 10468, 1010, 2302, 2151, 2613, 3112, 1010, 1996, 16163, 2015, 2020, 4214, 2006, 10785, 2216, 8593, 1998, 4896, 2029, 2018, 3130, 6439, 1996, 6580, 1997, 1996, 16163, 2015, 1010, 2030, 2018, 2130, 3271, 2000, 3288, 2009, 2055, 1012, 2000, 1037, 3056, 6698, 1996, 7486, 2018, 3568, 3970, 1996, 9413, 20793, 3560, 7667, 2008, 1996, 2647, 1011, 2530, 16163, 3343, 2001, 1037, 2785, 1997, 1520, 6515, 4926, 1521, 2030, 2019, 1520, 11813, 2553, 1521, 1012, 2174, 1010, 1999, 4507, 2122, 2824, 2020, 4445, 13436, 4496, 11790, 1012, 2012, 2023, 2391, 2057, 2442, 3568, 3535, 2000, 8339, 2588, 1996, 3043, 2062, 6171, 1012, 2004, 2057, 2031, 2525, 2056, 1010, 2045, 2003, 2053, 6412, 1997, 1996, 16163, 2162, 2029, 2003, 2062, 6270, 2084, 2008, 1997, 10564, 2009, 2004, 2019, 1520, 6515, 4926, 1521, 1012, 2028, 2442, 2202, 2046, 4070, 2048, 3391, 2590, 20248, 18155, 26116, 6177, 1999, 4434, 2007, 1996, 2824, 1997, 1996, 16163, 2162, 1024, 1996, 9614, 1997, 4977, 2004, 1037, 3164, 8650, 2373, 1010, 1998, 1996, 9740, 1997, 1037, 11074, 5152, 2110, 1999, 2885, 1012, 5262, 2054, 2057, 2024, 8087, 2075, 2182, 2003, 2028, 1997, 1996, 4072, 12335, 2306, 1996, 3795, 2381, 1997, 1996, 2088, 2110, 1012, 1999, 2344, 2005, 1996, 2088, 2110, 2000, 12636, 1010, 7894, 2686, 1998, 20248, 18155, 18291, 2015, 2442, 7868, 1037, 3327, 5197, 1012, 2013, 2651, 1521, 1055, 3193, 2391, 2028, 2518, 2003, 3154, 1024, 1999, 1996, 7961, 1997, 1996, 2458, 1997, 1996, 2088, 2110, 2045, 2003, 7078, 2053, 2282, 2187, 2005, 11074, 2163, 1010, 2292, 2894, 2005, 11074, 5152, 2163, 1012, 2151, 9582, 12774, 5012, 2000, 1996, 2088, 2110, 1010, 3251, 2030, 2025, 2009, 2003, 5499, 3973, 12774, 1010, 2442, 8246, 1999, 1996, 2227, 1997, 1996, 4117, 1010, 20753, 2749, 1997, 2023, 2088, 2110, 1012, 1996, 2446, 24823, 2018, 18921, 19763, 2078, 2023, 2012, 2019, 26137, 2135, 2220, 2391, 1999, 2051, 1012, 2157, 2067, 1999, 1996, 2397, 11977, 1011, 25942, 1996, 2446, 4802, 10728, 11810, 2121, 2626, 2008, 1523, 1996, 2088, 2110, 2442, 2272, 2004, 2009, 2003, 1037, 2755, 1997, 10461, 1012, 1524, 2096, 2144, 1996, 2117, 2088, 2162, 1996, 2512, 1011, 7486, 2031, 2042, 25357, 2030, 2031, 5967, 3209, 2062, 2030, 2625, 17912, 2000, 2023, 10461, 1010, 1996, 7486, 2024, 6854, 3554, 1517, 9352, 1999, 15784, 1517, 2114, 2023, 13418, 2735, 1997, 6580, 1012, 2009, 2052, 2022, 1037, 10611, 12492, 2000, 2903, 2008, 1996, 2088, 2110, 2003, 9950, 2011, 7191, 2030, 24464, 2594, 6481, 1012, 2057, 2442, 2227, 2039, 2000, 1996, 2206, 2755, 1999, 2344, 2000, 3305, 1996, 23369, 1010, 2030, 2292, 2149, 2360, 2738, 1996, 29582, 2063, 1010, 2715, 3663, 1024, 1996, 2088, 2110, 1998, 2049, 10660, 2622, 2031, 2042, 7887, 1998, 12099, 28947, 2006, 1996, 2112, 1997, 1996, 7486, 1012, 2096, 1996, 5424, 2088, 18545, 24282, 2135, 2875, 4684, 11640, 1998, 12564, 3765, 1010, 5499, 3241, 2038, 3478, 2000, 2156, 2008, 1996, 2088, 1997, 2974, 2003, 2025, 2069, 1037, 3928, 9575, 2021, 2008, 2009, 3596, 2019, 1520, 27118, 14317, 4765, 2594, 6259, 8499, 1521, 2007, 1996, 4274, 2004, 1037, 2785, 1997, 27118, 14317, 4765, 2594, 11449, 1012, 2794, 2000, 2023, 1010, 2974, 21743, 1996, 2529, 3663, 1999, 1037, 8790, 2126, 1012, 1996, 16905, 1997, 2542, 3785, 1998, 1996, 13614, 1997, 2035, 8578, 2024, 1996, 15436, 5751, 1997, 2023, 2689, 1012, 1996, 4439, 5110, 2486, 1999, 1996, 2832, 1997, 1996, 2746, 2046, 2108, 1997, 1996, 2088, 2110, 2003, 1996, 25353, 14905, 10735, 2483, 1997, 2974, 1998, 3007, 1010, 1045, 1012, 1041, 1012, 1996, 6028, 1997, 5446, 1012, 2005, 4787, 6425, 1998, 2116, 2060, 2446, 24762, 16498, 2003, 1037, 4676, 1998, 8381, 2003, 2049, 12854, 2126, 1997, 2166, 1012, 2174, 1010, 7486, 1998, 2512, 1011, 7486, 19148, 2012, 1996, 2168, 2051, 2008, 1999, 2023, 16452, 7444, 4507, 1996, 23183, 1521, 2019, 7657, 2993, 2004, 1037, 2367, 4507, 1010, 2028, 2029, 3685, 2022, 6377, 1010, 1998, 2004, 1037, 2197, 9277, 1998, 3120, 1997, 2375, 1012, 2028, 2052, 2025, 2022, 4654, 27609, 5844, 2065, 2028, 13647, 2008, 1996, 24762, 1997, 1996, 2225, 2031, 2042, 2488, 2583, 2000, 7145, 26268, 1996, 2724, 1997, 2974, 1012, 2061, 2009, 2003, 2008, 2647, 4695, 2038, 24849, 2044, 1996, 3267, 1997, 2974, 1010, 2044, 2054, 2974, 2965, 2005, 1996, 2529, 10461, 1012, 1996, 3154, 8465, 2005, 1996, 2529, 3663, 2024, 23546, 1012, 2429, 2000, 10728, 11810, 2121, 1010, 1520, 1996, 7309, 1521, 2003, 1996, 2047, 3562, 1997, 1996, 17859, 2529, 2108, 2029, 2003, 8361, 2006, 1037, 5294, 4094, 1010, 1998, 3005, 11414, 20426, 2003, 2974, 1012, 1999, 4085, 1996, 2647, 2331, 7958, 2020, 2649, 2011, 2002, 5178, 13327, 2004, 1520, 1996, 10660, 2537, 1997, 18113, 1521, 1012, 2013, 2023, 2391, 2006, 2002, 5178, 13327, 8847, 1997, 1996, 1520, 5473, 1997, 2974, 1521, 1998, 1996, 2126, 14938, 2038, 1520, 4704, 2108, 1521, 1006, 7367, 7076, 6299, 27102, 2368, 26036, 2102, 1007, 1012, 1999, 1996, 2088, 1997, 2974, 1010, 1996, 2576, 2097, 1997, 2158, 1010, 1998, 2947, 2010, 4071, 1010, 2468, 25120, 1012, 2023, 2168, 9667, 15520, 2008, 1523, 2057, 2079, 2025, 2031, 2974, 1999, 2256, 2398, 1010, 2009, 2038, 2149, 1999, 2049, 2398, 1010, 1524, 1998, 2059, 2794, 1010, 1523, 2069, 1037, 2643, 2064, 3828, 2149, 1012, 1524, 2002, 5178, 13327, 2001, 6575, 2005, 11449, 1010, 2005, 1037, 8430, 1012, 1996, 1523, 2653, 2029, 8847, 2000, 2149, 1524, 2150, 2005, 2002, 5178, 13327, 1996, 2173, 1997, 1996, 2197, 2825, 2785, 1997, 4071, 1012, 2069, 1996, 2711, 2040, 4858, 2010, 3120, 1998, 4761, 1999, 2653, 2003, 2145, 5214, 1997, 4909, 11449, 1012, 1999, 1996, 2576, 8391, 1010, 17697, 12943, 3286, 10609, 2626, 1037, 20603, 2147, 1999, 1996, 2397, 3157, 7368, 4709, 24004, 17266, 2121, 1024, 11074, 2373, 1998, 6436, 2166, 1012, 1999, 1996, 2338, 1010, 1996, 9667, 13999, 1996, 4145, 1997, 1996, 6693, 3409, 2046, 1996, 2803, 1997, 1996, 2576, 15152, 1012, 2429, 2000, 12943, 3286, 10609, 1996, 3125, 1997, 2715, 2373, 1011, 4331, 2003, 2053, 2936, 1996, 2120, 1010, 11074, 2110, 2021, 1010, 16880, 2135, 1010, 1996, 6693, 3409, 1012, 2002, 17509, 1996, 3409, 2004, 1996, 2995, 6454, 1997, 1996, 2715, 2287, 1012, 1996, 7209, 2088, 2135, 1011, 2576, 12601, 1998, 2373, 2003, 3936, 1999, 1996, 3409, 1010, 2008, 2003, 1010, 1999, 1996, 3247, 2000, 6167, 4613, 1010, 2375, 1998, 2686, 2013, 1520, 6436, 2166, 1521, 1012, 2023, 14951, 2003, 2108, 16829, 1999, 23094, 1998, 1999, 1996, 2124, 1998, 4242, 7958, 1997, 2008, 2088, 2110, 2029, 2003, 8361, 2651, 1012, 2000, 12943, 3286, 10609, 1996, 3409, 2003, 2085, 2019, 6377, 1998, 2146, 1011, 2744, 6922, 1997, 1996, 3795, 2053, 15530, 1012, 1996, 3297, 6210, 1997, 5529, 8040, 26837, 4779, 4953, 2576, 12601, 1010, 8419, 1010, 1523, 11074, 2003, 1996, 2028, 2040, 7288, 2006, 1996, 2110, 1997, 5057, 1524, 2003, 2947, 2445, 1037, 6659, 5331, 1997, 3574, 1024, 1523, 11074, 2003, 2036, 1996, 2028, 2040, 2003, 2583, 2000, 2275, 2039, 1037, 3409, 1012, 1524, 1999, 2023, 5450, 1010, 2464, 2013, 1996, 10644, 2391, 1997, 3193, 1010, 1996, 3423, 6653, 2013, 1520, 2110, 1997, 3671, 3012, 2000, 2110, 1997, 5057, 1521, 2003, 3143, 1012, 10655, 14938, 1521, 1055, 2561, 25691, 3627, 2058 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2064, 2057, 2031, 1037, 7721, 3193, 1997, 3267, 2065, 2057, 2079, 2025, 2421, 2019, 11706, 4070, 1997, 8298, 1010, 26497, 1010, 1998, 3643, 1029, 2430, 2000, 1996, 26582, 1997, 7312, 2923, 3430, 2964, 2003, 2008, 2122, 2838, 1997, 4507, 2024, 3929, 4654, 24759, 5555, 3468, 1999, 3408, 1997, 5072, 1998, 3558, 6194, 1024, 1999, 2070, 8106, 2027, 2024, 8210, 4958, 11514, 10222, 8462, 2532, 1997, 2122, 6194, 1025, 1999, 2500, 2027, 2024, 3432, 7219, 2004, 24883, 1010, 3491, 2000, 2022, 2061, 2011, 1996, 2307, 14152, 1997, 2671, 1012, 2130, 2216, 6529, 1010, 2926, 21477, 2015, 1010, 2040, 9507, 1037, 7312, 2923, 16134, 1999, 2029, 5584, 4150, 1996, 8050, 2671, 1010, 6600, 9979, 2019, 3031, 9966, 7312, 2964, 2429, 2000, 2029, 2045, 2003, 2498, 2062, 2000, 4507, 2084, 3430, 6177, 1012, 2957, 24992, 12162, 2378, 1010, 1037, 5765, 21477, 1010, 2038, 2081, 2023, 2391, 12045, 1024, 2009, 2003, 2025, 2008, 1996, 4725, 1998, 4896, 1997, 2671, 5064, 4012, 11880, 2149, 2000, 5138, 1037, 3430, 7526, 1997, 1996, 13352, 2140, 2088, 1010, 2021, 1010, 2006, 1996, 10043, 1010, 2008, 2057, 2024, 3140, 2011, 2256, 1037, 3188, 2072, 29235, 2000, 3430, 5320, 2000, 3443, 2019, 14709, 1997, 4812, 1998, 1037, 2275, 1997, 8474, 2008, 3965, 3430, 17959, 1010, 2053, 3043, 2129, 4675, 1011, 29202, 1010, 2053, 3043, 2129, 2026, 16643, 14116, 2000, 1996, 4895, 5498, 10711, 3064, 1012, 9308, 1010, 2008, 3430, 2964, 2003, 7619, 1010, 2005, 2057, 3685, 3499, 1037, 7746, 3329, 1999, 1996, 2341, 1012, 5060, 2005, 24992, 12162, 2378, 1996, 3601, 3849, 3154, 1024, 2593, 2057, 5138, 1037, 3430, 6553, 3193, 1997, 1996, 2088, 2004, 1037, 3143, 4070, 1997, 3267, 1010, 2130, 2065, 2025, 2664, 3651, 1010, 2030, 2057, 2442, 3499, 2070, 5574, 2000, 2643, 2000, 4863, 1996, 2088, 1012, 1999, 1037, 2047, 2338, 1010, 2568, 1998, 21182, 1024, 2339, 1996, 3430, 2923, 9253, 1011, 11534, 2937, 13120, 1997, 3267, 2003, 2471, 5121, 6270, 1010, 2726, 6583, 12439, 1010, 5182, 2934, 1997, 4695, 1998, 2375, 2012, 2047, 2259, 2118, 1010, 7860, 24992, 12162, 2378, 1005, 1055, 4487, 9905, 20389, 2100, 1012, 2002, 9251, 2008, 12761, 7366, 13115, 2007, 7312, 2923, 3430, 2964, 3685, 1010, 1999, 6958, 1010, 3749, 2019, 11706, 4070, 1997, 2054, 3267, 2003, 1998, 2129, 2542, 11767, 2031, 2764, 7145, 2000, 1996, 2391, 2008, 2045, 2024, 9715, 1010, 9414, 6074, 2583, 2000, 10782, 2090, 2204, 1998, 2919, 1010, 2157, 1998, 3308, 1012, 6583, 12439, 1010, 2040, 4136, 2149, 2008, 2002, 2003, 2019, 23503, 1010, 2036, 19164, 2536, 3596, 1997, 1996, 2964, 2008, 5574, 2000, 1996, 21249, 4034, 1997, 2643, 2000, 4863, 1996, 3375, 6447, 1997, 3267, 1998, 2529, 3267, 1012, 1996, 4054, 3579, 1997, 2010, 2338, 1010, 2004, 1996, 4942, 3775, 9286, 7127, 1010, 2003, 2010, 6256, 1997, 9253, 1011, 11534, 2937, 7312, 2964, 2029, 1010, 2002, 2758, 1010, 2003, 1000, 19907, 1997, 4346, 2019, 11706, 4070, 1010, 2593, 9530, 16643, 8525, 6024, 2030, 3439, 1010, 1997, 2256, 5304, 1012, 1000, 2023, 2417, 14194, 6024, 3430, 2964, 16405, 14536, 11589, 2015, 2000, 5425, 2166, 1998, 2568, 2083, 2019, 5331, 1997, 9253, 1011, 11534, 2937, 12761, 3399, 1012, 1000, 1045, 2424, 2023, 3193, 1010, 1000, 2002, 2758, 1010, 1000, 14405, 26005, 16454, 2135, 23653, 1517, 1037, 14779, 3535, 1997, 17859, 3399, 2058, 2691, 3168, 1012, 1000, 1996, 6256, 1997, 3430, 2964, 2003, 2025, 2047, 1025, 2625, 3517, 2003, 1996, 6256, 1997, 1996, 4748, 2063, 16211, 5666, 1997, 12761, 7366, 1012, 6583, 12439, 2515, 2025, 2424, 1996, 2964, 2000, 2022, 2062, 23411, 2004, 2019, 4070, 1997, 1996, 4761, 1998, 2458, 1997, 2166, 1998, 4454, 1012, 2002, 2003, 4699, 1999, 12020, 2060, 2084, 11534, 2030, 2643, 1010, 1998, 2002, 3966, 1037, 3193, 1010, 1000, 19176, 2594, 10093, 8780, 6483, 1010, 1000, 2029, 2002, 6732, 2089, 3073, 2019, 4070, 1997, 3267, 2008, 2950, 5177, 18658, 2004, 9530, 16643, 8525, 6024, 2838, 1012, 2005, 6583, 12439, 1010, 2019, 11706, 4824, 1997, 3267, 2442, 4863, 1024, 1015, 1007, 1996, 14053, 1997, 2542, 11767, 2013, 1037, 22185, 5304, 1025, 1016, 1007, 1996, 2458, 1997, 2122, 11767, 2000, 3618, 1998, 3618, 11619, 1025, 1017, 1007, 1996, 14053, 1997, 8298, 2426, 2070, 2542, 2477, 1998, 1996, 2430, 2535, 8298, 3248, 1999, 2037, 3268, 1025, 1998, 1018, 1007, 1996, 2458, 1997, 8298, 1000, 2046, 2019, 6602, 1997, 9099, 23865, 10127, 1000, 2008, 2064, 10616, 7863, 4507, 1998, 7863, 3643, 1012, 2002, 4269, 2007, 8298, 1998, 9251, 2008, 18224, 23302, 7312, 2964, 2515, 2025, 2079, 3425, 2000, 2054, 2024, 2428, 6827, 2838, 1997, 2256, 2088, 1012, 7312, 2964, 5363, 2000, 4863, 8298, 2593, 2011, 8161, 5177, 8474, 2000, 1996, 3896, 1997, 4167, 2163, 2030, 1010, 1999, 1996, 2553, 1997, 1000, 12005, 22311, 6024, 3430, 2964, 1010, 1000, 9177, 2008, 5177, 8474, 2079, 2025, 2428, 4839, 2012, 2035, 1012, 6583, 12439, 9023, 2000, 2256, 2691, 3168, 8689, 2008, 2529, 3395, 7730, 2003, 2025, 2417, 21104, 2000, 3558, 7236, 1012, 2065, 2057, 2707, 2007, 1037, 8426, 2000, 3430, 2923, 7312, 2964, 1010, 2057, 2442, 15454, 2023, 2691, 3168, 8689, 1012, 6583, 12439, 7901, 2015, 1996, 6685, 1012, 2002, 6732, 2008, 1010, 3225, 2013, 1996, 5793, 3606, 1997, 2256, 2108, 9715, 6074, 1010, 1999, 2229, 17695, 3085, 6177, 1997, 4507, 1010, 2057, 7523, 2019, 16021, 6279, 6906, 3468, 8803, 2000, 18224, 23302, 7312, 2964, 1012, 9308, 1010, 2023, 2200, 7312, 2964, 2003, 2112, 1997, 1037, 12368, 19176, 2594, 3193, 1997, 1996, 2088, 2008, 3685, 5788, 2302, 2009, 1012, 2057, 2342, 2019, 7526, 2008, 6115, 2005, 1996, 3311, 1997, 11767, 2008, 2024, 2025, 2069, 8186, 5967, 2000, 1996, 4044, 2021, 2036, 9715, 5739, 1012, 4045, 1998, 9569, 8106, 2008, 11160, 2069, 2006, 1996, 15306, 1997, 1996, 17537, 4163, 3685, 1010, 1999, 6958, 1010, 3073, 2019, 7526, 1997, 1037, 3019, 2344, 2008, 2038, 8298, 1998, 2568, 2004, 8050, 2838, 1012, 2004, 6583, 12439, 12629, 1010, 1000, 3430, 2964, 2003, 12958, 2130, 2004, 1037, 3399, 1997, 1996, 3558, 2088, 1010, 2144, 1996, 3558, 2088, 2950, 9715, 11767, 2426, 2049, 2087, 8478, 18837, 1012, 1000, 12761, 7366, 7607, 2116, 2477, 2055, 1996, 2458, 1997, 2542, 9552, 1010, 2021, 2009, 3685, 4863, 1996, 14053, 1997, 12761, 7366, 2993, 1012, 7191, 15650, 1998, 9345, 7630, 8082, 26186, 1006, 2055, 2054, 2003, 2204, 1998, 2919, 2004, 7863, 7236, 1010, 2025, 6414, 20714, 2163, 1007, 2024, 25876, 2007, 1037, 11534, 2937, 4070, 1997, 6622, 1521, 1055, 3747, 2006, 2256, 18658, 2005, 2437, 2107, 26186, 1012, 2065, 2216, 18658, 2024, 7580, 1996, 2765, 1997, 3019, 4989, 1010, 2045, 2003, 2053, 3114, 2000, 5987, 2008, 2027, 2052, 2599, 2149, 2000, 11487, 1000, 2568, 1011, 2981, 7191, 2030, 9345, 7630, 8082, 3606, 1012, 1000, 1996, 3754, 2000, 11487, 2107, 3606, 1000, 2052, 2191, 2053, 6691, 2000, 15124, 10516, 1012, 1000, 2738, 2084, 15454, 7191, 15650, 1999, 1996, 2171, 1997, 12761, 3430, 2964, 1010, 2004, 2070, 2079, 1010, 6583, 12439, 2153, 7901, 2015, 1996, 6685, 1024, 2144, 2045, 2003, 2019, 7863, 7191, 2344, 1010, 2019, 3668, 12761, 3399, 2008, 7607, 7191, 26186, 1999, 3558, 3408, 2442, 2022, 6270, 1012, 6583, 12439, 1005, 1055, 9918, 2008, 8298, 2003, 2025, 2417, 21104, 2000, 3430, 13352, 1010, 2008, 2045, 2003, 2019, 7863, 2344, 1997, 3643, 1010, 1998, 2008, 2057, 2079, 2031, 3716, 1997, 1996, 2088, 2024, 2035, 9329, 7476, 1012, 2002, 5176, 2149, 2000, 6807, 1010, 2006, 9185, 1010, 2037, 5793, 3606, 1012, 2065, 2057, 5138, 2004, 1037, 3225, 2391, 1037, 2088, 8584, 2008, 2038, 2417, 14194, 6024, 3430, 2964, 2004, 1037, 2034, 6958, 1010, 2057, 2097, 2025, 2022, 11766, 2011, 6583, 12439, 1012, 2028, 1997, 1996, 6666, 1997, 6583, 12439, 1005, 1055, 2338, 2003, 2008, 2002, 4455, 2046, 3160, 2023, 2034, 6958, 1998, 5176, 2149, 2000, 5136, 2019, 7974, 2019, 29235, 2069, 2000, 3430, 5320, 1012, 1999, 12843, 2825, 17959, 2005, 1996, 4761, 1997, 2166, 1010, 6583, 12439, 6732, 2008, 2000, 2360, 1996, 2832, 2001, 1996, 2765, 1997, 3382, 2824, 2030, 1000, 3257, 3238, 3558, 2375, 1000, 7860, 13675, 2098, 15859, 3723, 1012, 2002, 2036, 19164, 2054, 2002, 4455, 1000, 4325, 2964, 1010, 1000, 1996, 3193, 2008, 1996, 4761, 1998, 2458, 1997, 2542, 2477, 2003, 1996, 2765, 1997, 3563, 21249, 4490, 1997, 1037, 7746, 4005, 1012, 2002, 6732, 2008, 2009, 2003, 7919, 1037, 4045, 2622, 2000, 4863, 1996, 4761, 1997, 2166, 1998, 1997, 8298, 1012, 1996, 3824, 3019, 4163, 1010, 2174, 1010, 3685, 23613, 3749, 2107, 17959, 1010, 1998, 2043, 4117, 2007, 3430, 2923, 7312, 2964, 2191, 4447, 2008, 2024, 6270, 1012, 6583, 12439, 23569, 2015, 2005, 2178, 6061, 1010, 2054, 2002, 4455, 1000, 3019, 10093, 8780, 9966, 4277, 8677, 1996, 2458, 1997, 11767, 2058, 2051, 1012, 1000, 2002, 6732, 2023, 1000, 2512, 5311, 6873, 12742, 10093, 8780, 6483, 1000, 2003, 2367, 2013, 1996, 2060, 15955, 1024, 1000, 3382, 1010, 4325, 2964, 1010, 1998, 3257, 3238, 3558, 2375, 1012, 1000, 19176, 2594, 10093, 8780, 6483, 2965, 2008, 2045, 2024, 13296, 1998, 13908, 6481, 2008, 2024, 20868, 5596, 21104, 3033, 1997, 1996, 3019, 2344, 1010, 2664, 1000, 2025, 1996, 2765, 1997, 21249, 2030, 16405, 14536, 20049, 3726, 3747, 2011, 3087, 1012, 1000, 1996, 3019, 2344, 2008, 2003, 1996, 3120, 1997, 4895, 6610, 3363, 7934, 11767, 1998, 2776, 1997, 9715, 1010, 9414, 6074, 5214, 1997, 3643, 26186, 2038, 2000, 2022, 2367, 2013, 2054, 2003, 2649, 2011, 3430, 2923, 7312, 2964, 1012, 2000, 6235, 2023, 4423, 3168, 1997, 3267, 1010, 6583, 12439, 9023, 2000, 1037, 19176, 2594, 10093, 8780, 6483, 2429, 2000, 2029, 2045, 2003, 2019, 10047, 2386, 4765, 2856, 2791, 1999, 3267, 1010, 1037, 17678, 6132, 3012, 2000, 2507, 4125, 2000, 9552, 2066, 2149, 1012, 2182, 2002, 17248, 1996, 7780, 1997, 17484, 1012, 2002, 3964, 1996, 2844, 5012, 1999, 1996, 4045, 3226, 2000, 2151, 9374, 1997, 10093, 8780, 6483, 1010, 2144, 2009, 2003, 4141, 2245, 2008, 2715, 2671, 2001, 2141, 2011, 21936, 2107, 17841, 3512, 9942, 1012, 6583, 12439, 2515, 2025, 9772, 1996, 5197, 1997, 6622, 2004, 1037, 6412, 1997, 1996, 6565, 3431, 2008, 2031, 4158, 2058, 2051, 1010, 4496, 2515, 2002, 7939, 8004, 11657, 1996, 2535, 1997, 3019, 4989, 1012, 2738, 1010, 2002, 6732, 2008, 2045, 2442, 2036, 2022, 1037, 1000, 14448, 22137, 2000, 1996, 4195, 1997, 2166, 1010, 8298, 1010, 1998, 1996, 3643, 2008, 2003, 16021, 13699, 25236, 2013, 2068, 1012, 1000, 6583, 12439, 3964, 2008, 2002, 4107, 2023, 4522, 2004, 1996, 2190, 2002, 2064, 2085, 5674, 1010, 2021, 1000, 2302, 3893, 10652, 1012, 1000, 2054, 2002, 2003, 6427, 1997, 1010, 2174, 1010, 2003, 2008, 2166, 1010, 8298, 1010, 1998, 4454, 2031, 2025, 2042, 1000, 2719, 2013, 11969, 2011, 3382, 4606, 3019, 4989, 1012, 1000, 5262, 1010, 2010, 6256, 1997, 9253, 1011, 11534, 2937, 7312, 2964, 2003, 1996, 2087, 17075, 2112, 1997, 2010, 4106, 1012, 1000, 19176, 2594, 10093, 8780, 6483, 1000, 2089, 5083, 2256, 4824, 1997, 1996, 3439, 2458, 1997, 2542, 2477, 1010, 2021, 2009, 2515, 2025, 2393, 2200, 2172, 1999, 9990, 1996, 2126, 2477, 4839, 1999, 1996, 2088, 1012, 2182, 6583, 12439, 2052, 2022, 11553, 2011, 17484, 1005, 1055, 12368, 13120, 1997, 3019, 2477, 1012, 2000, 2228, 1997, 3267, 2069, 1999, 3408, 1997, 2049, 3430, 6177, 2003, 2025, 2000, 10616, 3267, 1999, 2049, 2440, 3168, 1025, 2005, 2023, 2057, 2052, 2342, 2054, 17484, 4455, 1000, 2433, 1012, 1000, 2045, 2003, 2062, 2000, 3267, 2084, 3430, 6177, 1010, 2021, 1996, 1000, 2062, 1000, 2003, 2025, 1037, 3430, 2062, 1012, 17484, 2003, 2025, 1037, 7037, 2923, 1025, 2433, 1998, 3043, 2024, 2025, 2048, 3584, 2477, 1025, 2027, 2024, 2522, 1011, 6481, 1997, 2169, 3019, 9178, 1012, 4092, 1999, 3408, 1997, 2433, 1998, 3043, 1010, 9415, 1998, 4926, 1010, 2552, 1998, 8962, 11916, 4473, 17484, 2000, 3749, 1037, 7721, 4070, 1997, 3267, 1998, 2689, 1012, 2009, 2036, 4107, 2032, 1037, 2204, 2126, 2000, 10782, 2090, 1996, 27118, 3490, 8585, 1998, 1996, 2019, 21499, 1012, 10488, 16033, 9834, 2937, 3019, 4695, 2064, 13265, 1996, 2116, 15636, 1997, 1996, 3824, 17537, 4163, 1998, 3749, 1996, 2047, 4432, 2005, 2029, 6583, 12439, 2003, 6575, 1012, 1996, 2568, 1011, 2303, 3291, 17144, 1999, 1996, 6123, 1997, 17484, 1005, 1055, 4824, 1997, 1996, 11581, 3969, 2004, 1996, 21672, 6958, 1997, 1037, 2529, 2108, 1012, 2000, 3713, 1997, 23807, 17678, 6132, 6447, 1999, 3267, 1010, 2004, 6583, 12439, 2515, 1999, 6984, 19176, 2594, 10093, 8780, 6483, 1010, 2069, 3084, 3168, 1010, 1045, 2228, 1010, 2065, 2057, 5138, 1996, 2440, 10488, 16033, 9834, 2937, 4070, 1012, 7543, 1010, 2004, 6583, 12439, 10919, 1010, 2151, 6378, 2000, 17409, 10488, 16033, 9834, 2937, 2245, 2007, 3824, 2671, 6010, 2012, 2190, 27936, 1010, 2012, 5409, 20673, 15322, 1012, 1037, 3639, 1997, 1996, 5719, 3643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4169, 1997, 1996, 4690, 1529, 2030, 1010, 2129, 2000, 4468, 18856, 26878, 2075, 2039, 3742, 5019, 1012, 2006, 2115, 2117, 3535, 1012, 1999, 2023, 4169, 1010, 1045, 2031, 2107, 2019, 3815, 1997, 6987, 1999, 1996, 7399, 2102, 2008, 1045, 2031, 2000, 2022, 6176, 2025, 2000, 3102, 1996, 3861, 2007, 2009, 1012, 2292, 2033, 2507, 2017, 1037, 4569, 2742, 1997, 2129, 1008, 2025, 1008, 2000, 2079, 2009, 1010, 2013, 3599, 2702, 2086, 3283, 2043, 1045, 2145, 2772, 2026, 4620, 2007, 1052, 3501, 1024, 18307, 22639, 2645, 2339, 2003, 1996, 6120, 3105, 1999, 2008, 2028, 2107, 1037, 3345, 12006, 1029, 2138, 1045, 2134, 1521, 1056, 2113, 2664, 2008, 1996, 22147, 3367, 5688, 1997, 2019, 3746, 3632, 2073, 2017, 2215, 1996, 13972, 1521, 1055, 3239, 2000, 23120, 1012, 1998, 2069, 2045, 1012, 5688, 9891, 1996, 3239, 1012, 1998, 2422, 1998, 2601, 5688, 9891, 1996, 3239, 2087, 1012, 2601, 1998, 2422, 5688, 2408, 1996, 2878, 1997, 1037, 3861, 9891, 1996, 3239, 1999, 1037, 4066, 1997, 4689, 29499, 2013, 2029, 2009, 2097, 2215, 2000, 3338, 2004, 2574, 2004, 2825, 1998, 2681, 1996, 3153, 10258, 16506, 1012, 8642, 1012, 2045, 2024, 15665, 1997, 3971, 2000, 4468, 2023, 1025, 2182, 2003, 2028, 2008, 2573, 2428, 2092, 2007, 2151, 5396, 1010, 2021, 5942, 1037, 2978, 1997, 4041, 25828, 1012, 1999, 2755, 1010, 1045, 2018, 3740, 2023, 2130, 2077, 1045, 3881, 1996, 7399, 2102, 1012, 1999, 2130, 2062, 2755, 1010, 2023, 2069, 2499, 2000, 2440, 9967, 2006, 1996, 2117, 3535, 1012, 2026, 2034, 2754, 2003, 2498, 5866, 2065, 2017, 2113, 2026, 2147, 12314, 1024, 2019, 2130, 6741, 1997, 1037, 2309, 6120, 5266, 2673, 1010, 2000, 5495, 1996, 9523, 6120, 5679, 2362, 1998, 4468, 16124, 2317, 11637, 2008, 7697, 1996, 2736, 3746, 4237, 1012, 1045, 5454, 1037, 4666, 2090, 3756, 28166, 2890, 1998, 19802, 2401, 2007, 1037, 2978, 1997, 28353, 27759, 3756, 1012, 2096, 1996, 6773, 2003, 2145, 4954, 1006, 3627, 1997, 7639, 1024, 4954, 2438, 2000, 1043, 9863, 2368, 2006, 1996, 3259, 1010, 2025, 2061, 4954, 2004, 2000, 2433, 25081, 2015, 1007, 1010, 1045, 2175, 1999, 2007, 1037, 8153, 1998, 4830, 2497, 2125, 1996, 6773, 2013, 1996, 2752, 2008, 1521, 2222, 2342, 2000, 3233, 2041, 2101, 1010, 2066, 10768, 27869, 1521, 1055, 1998, 10346, 24141, 16294, 1521, 1055, 5344, 1010, 1998, 1010, 2087, 5791, 1010, 1996, 4690, 1012, 3531, 3602, 1024, 2823, 1010, 1996, 8604, 1999, 1996, 7760, 2182, 2024, 3492, 2521, 2185, 2013, 1996, 5025, 3924, 1010, 2926, 1996, 2101, 4871, 1012, 2205, 2172, 14836, 1998, 2025, 2438, 2422, 2005, 2026, 10021, 2214, 10667, 5555, 2213, 1012, 2023, 2003, 1996, 2736, 2034, 6741, 2007, 1996, 5344, 4830, 15499, 9442, 1024, 1045, 2215, 1996, 11342, 2000, 2022, 9442, 2084, 1996, 4281, 1010, 2000, 2298, 2066, 21862, 22083, 3334, 1006, 1998, 28085, 2151, 2175, 1011, 2175, 1011, 2611, 9530, 17048, 10708, 1007, 1012, 3568, 1010, 1045, 6773, 1996, 4281, 2369, 7955, 3621, 9904, 1010, 2021, 2145, 22897, 1012, 2085, 1045, 1521, 1049, 2183, 2000, 2191, 2469, 2008, 2035, 1996, 6987, 1999, 1996, 4281, 1010, 2096, 2145, 2108, 17725, 1010, 2097, 2025, 15886, 2205, 2172, 2013, 1996, 18921, 16365, 1012, 2000, 2008, 2203, 1010, 1045, 4666, 1037, 10634, 2121, 6120, 2007, 2062, 2829, 1010, 1998, 6773, 1996, 4281, 4481, 1998, 29137, 2007, 1037, 6375, 6741, 2008, 2069, 3727, 2041, 1996, 21862, 22083, 3334, 11342, 1998, 1996, 18921, 16365, 4481, 1012, 2061, 2057, 1521, 2222, 4550, 2135, 3584, 1996, 2367, 5286, 1516, 18921, 1010, 2690, 1010, 1998, 2067, 1012, 1045, 2036, 5587, 2070, 8502, 17624, 2075, 2000, 1996, 3953, 1997, 2026, 9904, 3275, 6741, 1010, 2029, 2097, 2994, 2130, 2043, 2035, 1996, 14259, 2003, 2589, 1010, 2000, 3710, 2004, 1523, 2439, 7926, 1524, 1012, 2065, 2017, 1521, 2128, 16261, 2007, 1996, 4145, 1997, 2439, 7926, 1010, 3191, 2054, 1996, 2307, 4717, 7951, 1055, 4890, 13871, 2038, 2000, 2360, 2055, 2009, 1012, 1045, 2059, 2081, 1037, 6707, 1012, 16215, 2801, 2001, 2000, 2486, 2870, 2000, 2994, 2422, 1999, 1996, 4281, 1010, 2061, 1045, 2253, 2114, 2300, 25778, 27897, 3802, 7413, 4674, 1998, 2318, 2007, 1996, 23036, 2112, 1997, 1996, 4281, 4481, 1516, 2037, 2606, 1012, 2008, 2126, 1010, 1045, 2018, 2242, 2000, 4638, 2296, 2060, 6120, 2114, 1516, 2498, 2442, 2131, 9904, 2084, 1996, 2606, 1012, 1996, 2801, 2001, 2204, 1010, 2021, 1996, 3601, 1997, 3430, 2001, 2025, 1012, 1045, 2109, 6381, 2300, 25778, 22957, 1010, 2004, 1045, 2031, 2005, 2706, 2085, 1516, 1998, 2027, 7166, 2000, 9850, 2039, 1010, 1998, 4558, 2035, 1997, 1996, 2422, 2791, 1998, 16987, 2008, 1037, 2300, 25778, 8162, 2323, 2031, 1012, 1998, 2008, 1521, 1055, 2054, 3047, 2182, 1012, 2044, 1996, 2754, 2682, 1010, 1045, 2794, 1037, 2117, 6741, 1997, 17555, 2000, 1996, 4281, 4481, 1516, 2029, 2730, 1996, 3538, 1012, 3458, 18434, 1012, 2053, 3043, 2129, 8217, 2017, 6611, 6381, 2300, 25778, 22957, 1010, 2027, 2467, 2272, 2041, 2062, 28670, 2008, 2300, 25778, 22957, 2013, 10868, 2030, 6090, 2015, 1012, 2007, 2026, 6745, 4620, 1010, 2008, 2196, 11250, 2033, 2438, 2000, 2941, 15121, 1037, 4169, 1010, 2021, 2182, 1010, 2009, 2001, 13418, 1012, 1996, 2117, 4281, 6741, 2150, 2205, 2601, 1010, 4288, 1996, 6987, 1010, 18856, 8649, 4726, 2039, 1996, 7399, 2102, 1010, 1998, 2437, 2009, 2471, 5263, 2005, 2033, 2000, 2131, 1996, 18921, 16365, 9904, 1998, 2145, 2062, 6851, 2084, 1996, 4281, 1012, 2077, 1045, 2318, 4169, 10346, 24141, 16294, 1521, 1055, 23002, 1998, 2606, 2917, 1010, 1045, 2525, 11323, 1996, 4169, 2001, 2439, 1012, 1996, 18921, 16365, 2134, 1521, 1056, 3233, 2041, 2114, 1996, 4281, 4481, 2151, 2062, 1516, 2027, 2525, 2020, 2205, 2601, 1012, 10800, 20215, 1024, 2377, 2000, 1996, 20828, 1997, 2115, 4475, 1012, 2224, 10868, 2073, 2017, 2215, 2422, 1998, 15550, 2100, 8604, 1012, 2224, 26820, 2073, 2017, 2215, 2009, 2601, 1998, 2123, 1521, 1056, 2568, 28670, 2791, 1012, 2043, 2017, 7180, 2012, 1037, 2754, 2073, 2498, 2097, 3828, 2115, 4169, 1010, 2017, 2202, 2009, 2090, 2048, 16784, 1998, 18921, 20349, 2015, 1998, 2485, 2115, 2159, 1010, 1998, 2069, 2330, 2068, 2153, 2044, 2017, 1521, 2310, 2657, 2008, 10958, 11057, 19321, 4779, 3215, 2818, 999, 2614, 1012, 3084, 2009, 6082, 1012, 2204, 2518, 1045, 2145, 2018, 1996, 7399, 2102, 1012, 1045, 2318, 2019, 7974, 1998, 2253, 2067, 2000, 2023, 2754, 2682, 1012, 1045, 2109, 2069, 2300, 25778, 22957, 2013, 10868, 2023, 2051, 1010, 2029, 2428, 9511, 2008, 9850, 2094, 2298, 1012, 2023, 2126, 1010, 2612, 1997, 2725, 1996, 2422, 4281, 2034, 1998, 2059, 6932, 2033, 2000, 2175, 2412, 9904, 1999, 1996, 2518, 2008, 2001, 2062, 2590, 1999, 1996, 4169, 1010, 1045, 2318, 2007, 1996, 18921, 16365, 1516, 2061, 10768, 27869, 1998, 10346, 24141, 16294, 2052, 5646, 2129, 2422, 1996, 4281, 2052, 2031, 2000, 2022, 1012, 1037, 7342, 2695, 10861, 2213, 2512, 1010, 2061, 2000, 3713, 1012, 1045, 2318, 2007, 10346, 24141, 16294, 1521, 1055, 23002, 1010, 2007, 1037, 9378, 1997, 11087, 21966, 10620, 2098, 2091, 2011, 1037, 3543, 1997, 22472, 1998, 5506, 4063, 2417, 1010, 2975, 9442, 2070, 7926, 2000, 1996, 2157, 1010, 2073, 1996, 2422, 4978, 1012, 1045, 2059, 3816, 2070, 19802, 2401, 2007, 22472, 1010, 11060, 20210, 1998, 5506, 4063, 1998, 2318, 2006, 10346, 24141, 16294, 1521, 1055, 2606, 1010, 2145, 2478, 2069, 7270, 1011, 6773, 1012, 1996, 3861, 2917, 3065, 1996, 2117, 1010, 9904, 1010, 17555, 2606, 6741, 1012, 2059, 3310, 1037, 2112, 2008, 1521, 1055, 2119, 2200, 4450, 6313, 2021, 2145, 2738, 19960, 29293, 1012, 2111, 2024, 2411, 15261, 2129, 1045, 2064, 2031, 2061, 2172, 11752, 2007, 7060, 1012, 2092, 1010, 1045, 2071, 2196, 3305, 2339, 2111, 6773, 24373, 3022, 999, 2021, 1045, 6814, 2009, 1521, 1055, 2172, 1996, 2168, 1012, 2044, 1996, 24373, 2050, 1010, 3374, 1010, 23002, 1011, 5418, 4169, 1012, 2017, 1521, 2222, 2156, 1045, 1521, 2310, 2036, 2794, 2070, 2422, 3096, 12623, 1006, 11060, 20210, 2007, 5506, 4063, 1007, 1010, 1998, 2318, 17555, 1996, 17530, 1999, 10346, 24141, 16294, 1521, 1055, 2606, 1012, 2017, 1521, 2222, 5060, 2043, 4169, 2105, 1996, 7060, 2007, 9904, 8604, 1045, 2134, 1521, 1056, 3477, 2172, 3086, 2000, 2422, 1998, 2601, 1010, 2975, 1996, 23002, 2062, 4257, 1011, 2559, 2084, 1999, 1996, 2034, 2754, 1012, 2061, 1010, 2062, 6281, 2024, 1999, 2344, 1012, 2005, 2008, 1010, 1045, 2085, 2224, 2070, 6381, 2300, 25778, 22957, 1010, 2000, 2191, 1996, 6120, 2062, 5024, 1998, 2601, 1012, 14259, 2003, 6082, 2007, 6381, 2300, 25778, 22957, 1010, 1045, 2424, 1012, 1045, 5587, 3243, 1037, 2843, 1997, 6379, 2000, 1996, 4666, 1010, 1998, 2707, 2012, 10346, 24141, 16294, 1521, 1055, 2157, 2849, 1012, 1998, 2023, 2003, 2054, 1996, 2736, 23002, 3504, 2066, 1024, 1045, 2059, 4666, 1999, 2070, 9904, 2829, 1998, 6379, 1998, 2507, 1996, 2606, 1996, 2168, 9904, 3949, 1010, 5815, 5995, 1998, 5192, 2007, 6381, 2300, 25778, 8162, 1024, 2059, 1010, 2070, 17555, 2006, 1996, 5583, 1010, 2007, 20210, 1998, 11087, 21966, 1012, 10346, 24141, 16294, 2003, 2736, 1012, 2051, 2000, 11147, 10768, 27869, 1012, 1996, 3452, 6120, 5679, 2097, 2022, 2630, 2005, 1996, 10346, 3995, 16294, 7066, 1010, 1998, 2417, 2005, 10768, 27869, 11219, 2015, 1010, 2061, 1045, 2707, 2007, 2019, 23060, 26682, 6120, 2006, 10768, 27869, 1521, 1055, 23002, 1010, 3816, 2013, 5506, 4063, 2417, 2007, 2070, 22472, 1998, 19802, 2401, 1012, 7270, 23262, 1010, 1997, 2607, 1010, 2005, 16987, 1012, 1045, 2059, 4666, 2172, 1996, 2168, 6120, 1010, 4606, 2070, 9904, 6379, 1010, 2005, 1996, 21146, 4667, 1516, 1999, 6381, 2300, 25778, 22957, 2005, 14259, 1024, 2070, 6987, 2147, 2008, 1045, 7166, 2000, 2131, 2439, 1999, 1516, 6516, 1010, 2053, 1999, 1011, 5082, 7171, 2005, 1996, 3384, 3033, 1998, 26888, 2015, 2006, 2010, 16254, 1012, 1996, 6773, 2852, 3111, 2061, 3435, 2008, 1045, 2064, 2147, 2006, 1996, 2279, 6741, 2471, 3202, 2044, 4169, 1996, 2034, 1010, 2061, 1045, 6524, 2202, 7760, 1999, 2090, 1012, 2035, 1996, 8604, 2917, 2024, 2153, 7270, 3924, 1012, 2070, 2062, 2147, 2006, 2023, 4253, 1012, 1045, 1521, 1049, 6151, 8586, 14097, 2007, 1996, 11965, 2012, 2023, 2391, 1025, 1045, 2215, 2000, 2191, 2009, 2200, 2422, 2000, 2031, 10768, 27869, 3233, 2041, 2130, 2062, 1010, 2021, 2005, 2008, 1010, 1045, 2031, 2000, 4638, 2067, 2007, 1996, 7396, 1010, 2061, 1045, 2681, 2009, 2005, 1996, 2051, 2108, 1012, 1045, 2074, 5587, 2070, 2200, 10059, 2175, 6692, 5403, 2000, 9442, 9017, 2006, 2010, 27808, 1998, 2060, 12538, 4751, 1024, 2061, 1996, 18921, 16365, 4481, 2024, 2004, 2736, 2004, 1045, 2064, 2191, 2068, 2005, 1996, 2051, 2108, 1010, 1998, 2023, 2003, 1996, 3452, 2765, 1024, 2007, 2074, 1037, 9374, 1997, 21122, 2102, 20210, 1998, 5506, 4063, 2417, 1006, 10868, 1010, 1997, 2607, 1010, 2005, 16987, 1007, 1010, 1045, 2059, 2079, 1996, 5344, 1999, 1996, 4281, 1010, 2975, 2041, 2752, 2073, 1996, 2422, 4978, 1012, 2027, 2180, 1521, 1056, 2131, 1037, 5192, 6741, 2012, 2023, 2391, 1012, 2074, 1037, 2309, 6120, 1013, 14259, 6741, 1012, 1045, 2064, 2467, 2131, 9904, 2101, 2065, 1045, 2228, 1996, 27263, 2064, 5047, 2009, 1010, 2021, 1045, 2064, 1521, 1056, 2131, 9442, 1010, 2004, 1045, 2179, 2041, 1996, 2524, 2126, 2006, 1996, 2034, 3535, 1012, 2044, 1996, 5344, 2024, 4993, 1010, 1045, 2224, 2019, 5186, 2422, 1006, 7270, 999, 1007, 6741, 1997, 19802, 2401, 2005, 1996, 2606, 1012, 1998, 2070, 11060, 20210, 2005, 11530, 16425, 7352, 1010, 1998, 2070, 4895, 5178, 16778, 22749, 3468, 4666, 2005, 8292, 23115, 2953, 2213, 1010, 2061, 7955, 2064, 4060, 2041, 1037, 2606, 6120, 2005, 2032, 1998, 2022, 3407, 1529, 2279, 1010, 1996, 4124, 1012, 1045, 1521, 2310, 2074, 4149, 1037, 2200, 3835, 7270, 1997, 25627, 28653, 1010, 2029, 2003, 2630, 2438, 2000, 7515, 2004, 1523, 10346, 24141, 16294, 2937, 1524, 2021, 2145, 2200, 2367, 2013, 2054, 10346, 24141, 16294, 11651, 1010, 1998, 1045, 2224, 2009, 24665, 4017, 14663, 13453, 2006, 10346, 7446, 1010, 10722, 18581, 2078, 1010, 1998, 12098, 7446, 1010, 5815, 1037, 9374, 1997, 2751, 2182, 1998, 2045, 2000, 2562, 2068, 2013, 3352, 2205, 18847, 2818, 23645, 1012, 1996, 10768, 27869, 11219, 2015, 2131, 1037, 2714, 3949, 2007, 5506, 4063, 2417, 1998, 11060, 20210, 1010, 2007, 1037, 3543, 1997, 6379, 1998, 2751, 2182, 1998, 2045, 1012, 3701, 2300, 2006, 1996, 8248, 1010, 2007, 2074, 1037, 3962, 1997, 6773, 1010, 9992, 1996, 12051, 2013, 1996, 2034, 3535, 1012, 1998, 2035, 7270, 23262, 1010, 1997, 2607, 1012, 2279, 1010, 1045, 2079, 1996, 11342, 2007, 1037, 2200, 10634, 4666, 1997, 19802, 2401, 1010, 5506, 4063, 2417, 1010, 1998, 1037, 3543, 1997, 11087, 21966, 1010, 2069, 4169, 2200, 2422, 6281, 1012, 2279, 1010, 1045, 17624, 2105, 2007, 2738, 1037, 2843, 1997, 6379, 12623, 2006, 10346, 8545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2465, 1997, 2263, 2267, 15631, 1998, 3076, 4177, 11188, 1996, 2465, 1997, 2263, 1010, 2117, 2922, 1999, 19904, 5003, 13088, 1521, 1055, 2381, 1010, 2006, 2257, 2423, 1012, 1996, 3486, 2683, 2493, 2272, 2013, 4464, 2163, 1998, 2676, 3032, 1998, 2421, 2048, 2632, 2819, 17452, 5727, 1012, 1996, 20247, 2436, 2363, 1037, 2501, 1011, 4911, 1015, 1010, 6227, 2575, 5097, 2023, 2095, 1517, 2019, 3623, 1997, 2184, 3867, 2058, 2197, 2095, 1521, 1055, 2501, 1011, 4911, 2561, 1012, 3353, 4670, 5696, 10406, 1011, 6877, 2234, 2000, 19904, 5003, 13088, 2012, 1996, 2203, 1997, 2251, 2004, 2034, 2472, 1997, 2049, 2436, 1997, 6970, 29415, 3821, 1010, 2029, 2001, 2580, 2197, 3500, 2004, 2112, 1997, 1037, 18322, 1997, 1996, 2267, 1521, 1055, 4073, 2000, 5676, 1037, 7578, 1998, 18678, 2451, 1997, 2493, 1010, 4513, 1998, 3095, 1012, 1996, 2436, 2097, 10152, 2006, 6469, 2075, 6970, 29415, 3863, 1998, 4824, 2426, 2493, 1010, 2096, 1037, 2047, 8906, 4105, 2177, 2097, 3579, 2006, 4513, 1998, 3095, 3314, 1012, 2023, 18322, 1997, 1996, 2267, 1521, 1055, 2280, 2436, 1997, 12148, 8906, 1010, 2029, 2018, 3078, 5368, 2005, 12786, 4513, 1998, 3095, 8906, 5936, 1010, 3957, 2493, 1037, 7692, 4056, 4919, 2000, 2037, 5936, 1010, 2056, 4670, 1997, 1996, 8324, 2267, 8129, 1049, 1012, 14841, 22117, 11650, 2232, 1521, 6390, 1012, 10406, 1011, 6877, 1010, 1037, 11316, 4018, 1999, 2591, 1011, 3425, 2495, 2012, 1996, 2118, 1997, 4404, 2012, 19850, 1010, 2038, 2062, 2084, 2184, 2086, 1997, 3325, 1999, 3020, 1011, 2495, 3447, 1012, 2002, 3310, 2000, 19904, 5003, 13088, 2013, 1996, 2118, 1997, 4174, 1010, 2073, 2002, 2856, 1037, 2326, 1011, 4083, 2565, 1010, 9449, 3076, 4177, 1010, 1998, 4036, 1999, 2019, 6970, 17058, 1011, 4262, 2565, 1012, 2426, 2010, 5704, 2024, 4975, 1998, 19795, 10296, 1998, 2731, 3454, 1010, 10863, 3145, 3721, 3451, 2824, 1010, 14669, 3076, 3451, 2967, 1010, 9855, 2195, 2267, 3454, 2000, 10779, 1998, 2490, 2493, 2013, 2104, 2890, 28994, 14088, 7080, 1010, 1998, 4346, 11900, 23875, 2000, 2035, 2493, 4699, 1999, 8906, 3314, 1012, 2002, 2097, 11443, 2010, 2051, 2090, 1996, 4670, 1005, 1055, 2436, 1999, 4202, 2534, 1998, 1996, 27135, 2415, 1012, 1996, 2176, 2372, 1997, 1996, 2177, 2024, 10406, 1011, 6877, 1025, 5482, 2708, 2592, 2961, 7701, 2175, 4246, 1010, 2040, 2097, 3710, 2004, 1996, 2267, 1521, 1055, 5020, 1011, 4495, 2961, 1025, 2934, 1997, 11507, 2984, 9808, 15735, 2213, 1010, 2040, 2097, 3710, 2004, 1996, 4513, 8906, 14975, 1025, 1998, 2522, 1011, 4670, 1997, 1996, 2082, 1997, 2591, 2147, 1998, 2591, 2470, 7638, 4789, 1010, 2040, 2097, 3710, 2004, 1996, 3095, 3314, 14975, 1012, 1523, 1996, 2177, 1521, 1055, 3715, 2003, 2000, 3073, 6143, 6040, 3495, 2000, 2033, 2007, 1996, 3125, 1997, 2437, 1996, 3721, 2451, 18678, 1998, 16408, 1997, 2035, 2493, 1010, 4513, 1998, 3095, 1010, 1524, 2056, 2343, 1997, 1996, 2267, 7912, 1046, 1012, 18571, 1999, 2019, 1041, 1011, 5653, 8874, 2000, 1996, 2451, 1012, 1996, 2177, 2097, 3113, 2007, 1996, 2343, 5570, 1012, 2009, 2097, 9530, 8159, 2063, 1010, 2247, 2007, 1996, 2343, 1010, 1996, 2343, 1521, 1055, 8906, 2473, 1010, 1037, 4387, 2303, 1997, 4513, 1010, 2493, 1998, 3095, 3625, 2005, 23875, 18571, 2055, 11434, 1037, 16408, 4785, 2005, 8906, 2006, 3721, 1010, 1998, 2000, 8080, 1996, 12353, 1997, 1996, 2267, 1521, 1055, 8906, 11107, 1999, 2176, 2752, 1024, 15680, 1998, 20125, 1997, 4513, 1010, 3095, 1010, 1998, 2493, 1997, 3609, 1025, 3086, 2000, 8906, 1999, 1996, 8882, 1025, 3721, 4785, 1025, 1998, 2267, 3454, 2008, 6469, 8906, 1012, 18237, 2229, 11748, 6155, 1521, 5585, 1010, 1996, 20247, 2436, 1005, 1055, 2472, 1997, 27135, 15680, 1010, 2097, 2036, 3710, 2004, 3353, 2472, 1997, 6970, 29415, 3821, 1012, 1523, 1045, 2228, 2023, 6512, 3084, 1037, 2843, 1997, 3168, 1010, 1524, 2016, 2056, 1012, 1000, 2009, 9005, 13717, 2090, 15680, 1998, 20125, 1997, 2493, 2013, 2104, 2890, 28994, 14088, 2967, 1010, 1998, 1045, 1005, 1049, 2469, 2009, 2097, 2022, 7714, 2200, 10377, 2075, 2005, 2033, 2000, 2156, 2008, 1996, 2111, 1045, 8733, 2024, 29571, 2182, 2012, 19904, 5003, 13088, 1012, 1524, 3721, 9422, 7221, 3668, 9422, 2038, 2042, 10890, 1999, 2267, 3834, 1998, 3831, 3121, 2144, 1996, 4134, 1025, 2047, 9259, 1999, 2173, 2023, 2991, 7221, 2009, 2013, 5039, 9873, 1998, 2012, 1996, 2364, 18084, 2000, 2035, 3121, 1012, 2127, 2089, 1010, 9422, 2001, 3039, 1999, 3076, 4734, 1999, 2069, 2028, 19568, 1010, 10958, 2094, 12131, 1010, 2006, 2049, 2327, 2048, 8158, 1010, 2021, 1996, 10808, 1998, 2250, 9141, 2291, 3344, 5610, 2802, 1996, 2311, 1012, 1006, 2023, 2621, 1010, 10958, 2094, 12131, 2288, 1037, 16030, 10499, 1011, 2041, 1025, 2035, 2691, 2752, 1010, 28274, 1998, 2087, 3076, 4734, 2020, 4993, 1012, 1996, 10135, 2001, 2999, 1999, 1996, 2691, 2752, 1998, 28274, 1012, 1996, 2691, 4734, 2363, 2047, 7390, 1998, 2047, 7497, 1012, 1007, 1523, 2057, 2031, 2584, 1037, 2391, 2073, 1010, 2445, 1996, 2504, 1997, 3716, 2055, 1996, 3809, 2740, 10831, 4372, 14162, 2098, 1999, 7524, 2000, 2117, 1011, 2192, 5610, 1010, 2057, 2064, 2053, 2936, 6985, 2383, 1037, 5039, 2534, 2073, 2035, 2040, 2444, 2045, 1010, 2004, 2092, 2004, 2035, 3095, 2040, 2442, 2147, 2045, 1010, 2024, 6086, 2000, 2152, 3798, 1010, 1524, 2626, 4670, 1997, 1996, 8324, 2267, 8129, 1049, 1012, 14841, 22117, 11650, 2232, 1521, 6390, 1999, 1037, 3661, 2000, 2493, 1012, 1523, 2057, 2442, 2036, 2693, 9422, 2185, 2013, 1996, 2364, 18084, 1998, 3645, 1997, 5039, 9873, 1010, 2144, 2009, 2145, 9005, 1037, 3291, 2005, 3901, 2043, 2027, 4607, 2030, 2681, 1996, 2311, 2030, 2065, 2037, 4734, 2024, 1999, 2485, 10039, 2000, 1996, 4351, 18084, 1998, 3645, 1012, 1524, 3265, 17041, 2005, 2493, 1998, 9422, 8292, 11488, 3508, 3454, 2005, 2493, 1010, 3095, 1010, 1998, 4513, 2024, 2108, 3253, 1012, 1996, 3277, 2003, 2019, 14868, 5338, 2028, 2005, 2116, 1012, 1037, 4708, 2486, 2007, 4505, 2013, 4513, 1010, 3095, 1010, 1998, 2493, 1010, 2119, 5610, 2869, 1998, 2512, 1011, 5610, 2869, 1010, 2038, 2042, 19596, 2000, 6848, 2073, 2006, 3721, 2216, 2040, 5610, 2089, 2079, 2061, 2007, 1996, 2560, 7386, 2000, 2500, 1012, 2242, 2047, 8434, 2012, 5292, 4246, 3678, 5003, 13088, 7747, 2007, 1037, 9180, 7999, 2005, 2796, 2833, 2064, 2085, 27427, 5313, 3351, 1999, 9092, 23835, 2072, 7975, 1998, 15415, 12170, 20444, 3490, 2302, 2975, 3721, 1024, 5292, 4246, 3678, 7759, 2534, 2038, 2042, 7065, 16613, 2098, 2000, 2421, 6289, 5400, 1010, 2019, 5636, 12846, 1523, 2276, 1524, 1006, 2028, 1997, 2176, 1999, 1996, 7759, 2282, 1007, 1012, 1999, 2458, 2003, 2019, 4004, 1013, 6090, 1011, 4004, 2053, 26156, 3347, 2005, 1996, 3500, 1010, 2021, 2023, 2991, 1010, 2493, 2064, 10667, 1999, 2000, 2632, 9541, 1043, 6806, 5638, 1006, 14629, 1998, 6187, 15859, 14156, 1007, 22683, 3756, 2007, 10722, 25531, 1998, 2081, 25312, 18980, 2007, 21229, 1998, 2060, 3151, 2796, 21729, 1012, 4010, 1998, 3730, 6583, 2319, 1010, 1037, 4257, 21957, 7852, 11867, 6657, 19859, 2007, 19745, 8079, 16222, 25377, 28064, 1996, 2364, 4372, 13334, 1010, 2029, 3431, 3679, 1012, 2004, 2092, 1010, 6289, 5400, 4107, 1996, 5156, 26855, 3512, 2796, 9530, 21341, 2015, 1024, 14380, 4060, 2571, 2007, 2049, 17710, 13278, 2638, 9745, 1998, 2980, 2044, 23296, 5004, 1025, 4086, 1998, 23592, 24792, 14684, 2102, 5420, 1025, 20856, 10556, 20760, 21784, 1998, 29022, 25659, 4060, 4244, 1012, 5785, 1998, 15547, 2696, 1517, 1037, 4658, 10930, 27390, 2102, 12901, 1517, 3143, 1996, 7954, 1012, 1523, 1996, 12183, 5167, 2024, 2081, 1999, 2235, 14108, 2229, 1010, 1524, 2758, 7759, 2578, 2472, 16595, 9648, 4674, 15972, 1011, 3379, 2669, 1010, 1523, 2000, 5676, 4840, 2791, 1012, 1524, 2178, 4606, 2003, 2008, 1010, 2429, 2000, 15972, 1011, 3379, 2669, 1010, 2009, 2003, 2085, 6082, 2000, 2131, 14469, 21729, 1998, 12760, 2144, 1996, 10447, 2024, 3253, 10862, 1010, 2006, 1037, 3679, 3978, 1010, 2738, 2084, 23852, 2135, 1012, 2060, 3703, 1999, 1996, 5292, 4246, 3678, 7759, 2534, 2024, 1523, 2006, 1996, 2448, 1524, 1006, 1037, 11350, 1011, 11642, 1011, 16521, 3347, 1007, 1010, 1523, 7500, 1005, 1055, 3601, 1010, 1524, 1006, 15942, 2078, 1998, 23566, 7047, 1007, 1010, 1998, 1523, 4438, 10733, 2015, 1010, 1524, 2029, 4240, 14255, 13213, 11610, 1011, 2806, 10733, 2015, 2081, 1997, 25628, 4840, 23126, 1012, 5003, 13088, 7747, 2064, 4666, 1998, 2674, 2037, 2833, 9804, 1010, 1998, 2327, 2125, 1996, 7954, 2007, 25628, 26844, 2013, 1996, 18064, 3347, 1012, 1998, 1037, 5744, 2666, 3347, 21312, 2008, 2493, 2006, 1996, 2175, 2031, 12090, 23050, 2800, 2035, 2154, 2146, 1012, 2038, 1996, 3433, 2013, 2493, 2042, 3893, 1029, 1523, 3452, 2748, 1010, 1524, 2758, 15972, 1011, 3379, 2669, 1012, 1523, 2011, 1998, 2312, 1010, 2087, 2493, 2024, 3407, 2007, 1996, 3431, 1010, 1998, 8510, 2007, 1996, 2804, 1997, 2062, 3528, 2000, 2037, 12183, 9804, 2169, 2154, 1012, 1524, 1038, 12458, 1521, 1055, 2400, 1011, 3045, 7759, 2578, 2038, 2036, 10601, 2049, 7954, 2578, 6134, 2000, 2421, 2062, 16991, 1998, 4423, 2847, 1010, 1523, 2000, 3499, 2062, 2493, 2000, 26536, 9354, 5697, 3834, 1010, 2147, 1998, 2591, 20283, 2302, 4394, 12278, 1010, 1524, 2758, 15972, 1011, 3379, 2669, 1012, 5292, 4246, 3678, 2085, 7480, 2012, 2340, 1037, 1012, 1049, 1012, 1998, 4240, 10843, 2127, 1020, 1024, 2382, 1052, 1012, 1049, 1012, 1054, 6806, 19303, 3464, 2330, 2005, 4596, 19759, 2127, 1022, 1052, 1012, 1049, 1012, 2000, 8752, 2051, 1011, 4508, 7576, 1998, 2500, 2040, 2074, 9544, 2000, 11586, 2063, 2101, 1012, 2005, 2062, 2592, 2055, 7759, 2578, 1010, 2156, 1996, 1038, 12458, 5104, 4773, 2609, 1012, 3353, 2934, 1997, 2381, 2745, 8997, 1010, 1037, 4800, 22059, 14706, 6288, 1997, 5781, 2381, 1998, 3226, 2040, 2001, 3858, 2011, 8628, 1998, 2493, 2004, 2019, 5151, 3836, 1010, 2351, 1997, 3674, 2026, 18349, 2863, 2012, 2010, 2188, 2006, 2238, 1022, 1012, 2002, 2001, 4413, 2086, 2214, 1012, 1523, 2745, 2001, 1037, 8235, 6288, 1998, 1037, 6919, 2711, 1010, 1524, 2056, 5482, 2934, 1997, 2381, 10666, 17359, 12624, 1010, 2040, 8397, 1996, 2533, 1012, 1523, 2023, 2003, 2019, 4654, 26775, 14194, 15370, 3279, 1010, 1998, 2009, 3727, 1037, 4920, 1999, 2256, 8072, 1012, 1524, 8997, 3273, 10482, 1998, 3682, 2076, 2010, 3360, 1999, 5865, 1998, 3687, 1037, 1038, 1012, 1037, 1012, 1999, 2189, 1998, 4676, 2013, 5242, 2118, 1999, 3106, 1012, 1999, 2997, 1010, 2002, 2363, 1037, 3040, 1997, 2189, 1999, 14564, 9283, 2013, 1996, 7996, 2082, 1997, 2189, 1998, 2019, 1049, 1012, 1037, 1012, 1054, 1012, 1999, 5507, 12514, 6558, 2013, 1996, 7996, 16968, 2082, 1012, 2002, 2001, 3018, 1037, 26695, 7881, 2000, 2605, 1999, 2997, 1998, 3273, 1999, 10241, 1012, 2002, 2366, 2004, 2472, 1997, 21176, 1998, 2189, 2005, 28877, 2277, 1999, 5111, 2103, 1010, 9587, 1012, 1010, 2013, 2960, 1011, 3938, 1012, 2002, 2363, 2010, 3040, 1997, 2840, 1998, 6887, 1012, 1040, 1012, 1999, 2381, 1998, 5781, 2913, 2013, 7996, 2118, 1999, 2857, 1998, 2687, 4414, 1012, 2044, 2048, 2086, 2004, 1037, 4113, 2934, 2012, 4532, 5623, 2267, 1010, 8997, 2211, 4252, 2012, 19904, 5003, 13088, 1999, 2639, 1012, 1523, 2009, 2001, 2019, 3733, 3247, 2000, 10887, 2032, 1010, 1524, 2056, 17359, 12624, 1012, 1523, 2002, 2001, 2019, 8216, 2135, 11973, 1998, 8885, 3265, 2007, 2116, 11725, 1012, 2745, 1521, 1055, 2147, 2001, 17431, 5541, 1517, 2002, 2001, 18593, 1999, 1037, 2492, 2008, 2038, 2411, 2042, 2062, 5342, 15494, 1012, 2009, 3253, 1037, 2569, 11619, 1010, 5026, 2362, 2035, 1997, 2010, 11532, 1999, 3439, 6981, 1010, 2189, 1998, 8006, 1999, 25145, 1998, 12382, 3971, 1012, 1524, 8997, 1521, 1055, 12683, 4872, 2001, 10349, 2011, 2010, 9823, 3112, 1012, 1999, 2494, 1010, 8997, 2363, 1996, 11409, 18939, 8684, 5182, 4252, 2400, 1010, 14828, 2008, 2010, 8628, 3858, 2032, 2004, 1037, 1523, 2092, 1011, 4810, 1010, 3811, 12774, 1998, 3227, 18988, 3836, 1012, 1524, 2195, 2493, 4056, 2037, 2122, 2015, 2000, 2032, 1010, 17359, 12624, 2988, 1012, 10635, 2358, 14511, 1521, 5840, 1010, 2019, 2981, 2350, 1999, 5781, 2913, 3183, 8997, 9449, 1010, 2649, 2032, 2004, 1523, 2019, 29350, 18114, 1998, 11973, 2934, 2040, 2071, 2424, 2242, 26157, 1999, 2296, 3076, 1005, 1055, 6691, 2000, 2465, 1012, 2010, 4280, 2020, 2467, 7167, 1997, 4569, 1010, 2021, 2002, 2018, 2200, 2152, 10908, 1010, 2205, 1012, 2002, 2001, 1996, 2087, 9694, 2934, 1045, 2018, 1010, 1998, 2002, 3271, 2033, 5335, 2026, 3015, 1998, 3752, 4813, 2062, 2084, 3087, 2842, 1012, 1524, 2012, 19904, 5003, 13088, 1010, 8997, 2716, 2019, 18593, 3921, 2000, 5352, 7149, 2007, 2457, 3226, 1010, 7988, 1010, 1996, 4125, 1997, 3923, 2964, 1010, 15949, 1998, 2833, 1999, 5781, 2885, 1012, 1523, 2002, 6628, 2493, 2000, 7683, 2037, 6537, 3458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2057, 1521, 2128, 2069, 1037, 2261, 2420, 2013, 1996, 12951, 5315, 1997, 1996, 2154, 1996, 2343, 1997, 1996, 2142, 2163, 2001, 2915, 2091, 2006, 1037, 5759, 2395, 1012, 2017, 1521, 1040, 2228, 2019, 2724, 2066, 2008, 2052, 2599, 2000, 1037, 3809, 4812, 1998, 4073, 2000, 3288, 2216, 2920, 2000, 3425, 1012, 2612, 2057, 2020, 2409, 2306, 2847, 2008, 2343, 5817, 2018, 2042, 7129, 2011, 3389, 7702, 17411, 1012, 2048, 2420, 2101, 17411, 2001, 2915, 2757, 1999, 1996, 5759, 2610, 2276, 2011, 2990, 10090, 1010, 1998, 1996, 4812, 1010, 2107, 2004, 2009, 2001, 1010, 3092, 1012, 2012, 1996, 2051, 1010, 2130, 8495, 2472, 1046, 1012, 9586, 17443, 2409, 4397, 10741, 2343, 23037, 3779, 1006, 1999, 1037, 2680, 3042, 2655, 1007, 2008, 1996, 2553, 2114, 17411, 2001, 2205, 5410, 2000, 2131, 1037, 10652, 1012, 2101, 1010, 5759, 2610, 2708, 7627, 15478, 2052, 2360, 1010, 1523, 2057, 2123, 1521, 1056, 2031, 2151, 6947, 2008, 17411, 5045, 1996, 5883, 1010, 1998, 2196, 2106, 1012, 6343, 1521, 1055, 2664, 2042, 2583, 2000, 2404, 2032, 1999, 2008, 2311, 2007, 1037, 3282, 1999, 2010, 2192, 1012, 1524, 17411, 10743, 2915, 5817, 2007, 1037, 5883, 2012, 2260, 1024, 2382, 2013, 1037, 3332, 2006, 1996, 5351, 2723, 1997, 1996, 5759, 2338, 12816, 15660, 2100, 2311, 1012, 3155, 3938, 3823, 2044, 1996, 5008, 1010, 17411, 2001, 2464, 2011, 5759, 2610, 2961, 10115, 6243, 1998, 17411, 1521, 1055, 5795, 4097, 5621, 1999, 1996, 6265, 2282, 2006, 1996, 3416, 2723, 1997, 1996, 2311, 12885, 5948, 1037, 14492, 1012, 2013, 16948, 1024, 2429, 2000, 6243, 1010, 17411, 2106, 2025, 3711, 2000, 2022, 6091, 2030, 2041, 1997, 3052, 1012, 5621, 2056, 2008, 17411, 2596, 1523, 9696, 1524, 2043, 6243, 6461, 2010, 3282, 2012, 2032, 1012, 3680, 1012, 2728, 9027, 1517, 23106, 12366, 2012, 1996, 12816, 10253, 1010, 4192, 2000, 2014, 2436, 2306, 2048, 2781, 1997, 1996, 10102, 1517, 2056, 2008, 2016, 2387, 17411, 2040, 1523, 2001, 2200, 5475, 1524, 2006, 1996, 2117, 2723, 2007, 1037, 14492, 1999, 2010, 2398, 1012, 5564, 1010, 1037, 2402, 2450, 2315, 3848, 5922, 2001, 3666, 1996, 4883, 5013, 21869, 2013, 1037, 3332, 2006, 1996, 4343, 2723, 1997, 1996, 2338, 12816, 10253, 2311, 1012, 2013, 1037, 3319, 1997, 1996, 2338, 1996, 2611, 2006, 1996, 5108, 1010, 2011, 6287, 8471, 1024, 2016, 2001, 2019, 7904, 2040, 2499, 1999, 1996, 2168, 2311, 2004, 2028, 3389, 7702, 17411, 1012, 1996, 3291, 3303, 2011, 2014, 3739, 2003, 2200, 3722, 1998, 4089, 22539, 1012, 5922, 1010, 2247, 2007, 2014, 2767, 12834, 6782, 1010, 2768, 2006, 1996, 2959, 2723, 1997, 1996, 3146, 2082, 2338, 12816, 10253, 2012, 1996, 2617, 1997, 1996, 4028, 1012, 2016, 14914, 2000, 4994, 2093, 7171, 1010, 2029, 2013, 2014, 27274, 2391, 2596, 2000, 2022, 2746, 2013, 1996, 2157, 1997, 1996, 2311, 1006, 1045, 1012, 1041, 1012, 1010, 2013, 1996, 22221, 14161, 14511, 1007, 1012, 2016, 1998, 6782, 2059, 2743, 2000, 1996, 5108, 2000, 2132, 2091, 1012, 2023, 2001, 1996, 2069, 2275, 1997, 5108, 2008, 2253, 2035, 1996, 2126, 2000, 1996, 2327, 1997, 1996, 2311, 1012, 2119, 2016, 1998, 2014, 2767, 2165, 2068, 2091, 2000, 1996, 2598, 2723, 1012, 2016, 2106, 2025, 2156, 2030, 2963, 17411, 1012, 2664, 1010, 2016, 2323, 2031, 2065, 2002, 2020, 2006, 1996, 4369, 2723, 7118, 28457, 1012, 2029, 2003, 2054, 1996, 3222, 2056, 2002, 2106, 2044, 2002, 2915, 5817, 1012, 2023, 2003, 1996, 2034, 3291, 1010, 1999, 1037, 12264, 18223, 1012, 2339, 2106, 5922, 2025, 2156, 1037, 25240, 17411, 1010, 3909, 2091, 1996, 5108, 1999, 8463, 1997, 2010, 16787, 1011, 15270, 1029, 2138, 1997, 1996, 6031, 3222, 1521, 1055, 17060, 1010, 2057, 2113, 17411, 2018, 2000, 2031, 2908, 2091, 1996, 5108, 2076, 2023, 2558, 1999, 2344, 2000, 2022, 16222, 14122, 2098, 1999, 2051, 2011, 1037, 9055, 14460, 1012, 1999, 2804, 1010, 2004, 2057, 2024, 2101, 2000, 7523, 1010, 5922, 2036, 4311, 3773, 2990, 10090, 2006, 1996, 3420, 1997, 5395, 1998, 17709, 1010, 1523, 11242, 2111, 2004, 2295, 2002, 2020, 1037, 14460, 1012, 1524, 5922, 2574, 4342, 2008, 1996, 2231, 2134, 1521, 1056, 2215, 2000, 2963, 2054, 2016, 2018, 2000, 2360, 2055, 2054, 2016, 2018, 5159, 1516, 1998, 2025, 5159, 2006, 1996, 2154, 1997, 1996, 10102, 1012, 2016, 2001, 8385, 1523, 24186, 2098, 1524, 2000, 2689, 2014, 2466, 1012, 2016, 2001, 2036, 25227, 2011, 1996, 14064, 2005, 1996, 6031, 3222, 2043, 2016, 2001, 10263, 1999, 5759, 1012, 5922, 2776, 2333, 2185, 2013, 5759, 1010, 2496, 1998, 2904, 2014, 2171, 1012, 3166, 6287, 8471, 2179, 2014, 1998, 5720, 2000, 2014, 2077, 2016, 2351, 1010, 1998, 2014, 2466, 2815, 1996, 2168, 1012, 3728, 5922, 1521, 2767, 12834, 6782, 2001, 10263, 2006, 1996, 3604, 3149, 1012, 6782, 2145, 2758, 2016, 2387, 2053, 2028, 2006, 1996, 5108, 1012, 2016, 2758, 2016, 7164, 17411, 2763, 2915, 5817, 1010, 2021, 3383, 2045, 2020, 2500, 2920, 1523, 4815, 1996, 7817, 1012, 1524, 3422, 1996, 4357, 2012, 1996, 4957, 1012, 2247, 2007, 1996, 2755, 2008, 2053, 22077, 21755, 2001, 2179, 2006, 17411, 1521, 1055, 2398, 1006, 2348, 2002, 2001, 5496, 1997, 5008, 5759, 2610, 2961, 26219, 5955, 23270, 2007, 1037, 28497, 1007, 2030, 2006, 2010, 5048, 1006, 2073, 2009, 2052, 2022, 2065, 2002, 2018, 2915, 1037, 5883, 1007, 1010, 2008, 2003, 2438, 9608, 4797, 2005, 2033, 2000, 2903, 2008, 17411, 2001, 2054, 2002, 3555, 1516, 1037, 25382, 1012, 2182, 1521, 1055, 1037, 2936, 2678, 2007, 2087, 1997, 1996, 8635, 17411, 2081, 1999, 9968, 2077, 2002, 2001, 2730, 2011, 2990, 10090, 1012, 2057, 2020, 2409, 2008, 17411, 2001, 1037, 26594, 1010, 1037, 10916, 2040, 2359, 2000, 2022, 3297, 2005, 4288, 1996, 2087, 3928, 2158, 1999, 1996, 2406, 1012, 2021, 2000, 2033, 1010, 2002, 2134, 1521, 1056, 2614, 4689, 1010, 1998, 2065, 2002, 2359, 2000, 2022, 3297, 2005, 1996, 10102, 1997, 1996, 2343, 1010, 2339, 2106, 2002, 8385, 2360, 2002, 2910, 1521, 1056, 1998, 3198, 2005, 1037, 5160, 2000, 6985, 2032, 1029, 3531, 1010, 2065, 2017, 3191, 2151, 1997, 1996, 5606, 1997, 4790, 2008, 2097, 3711, 1999, 1996, 5971, 2865, 2058, 1996, 2279, 2261, 2420, 1010, 2228, 2055, 2122, 3937, 8866, 1025, 2138, 2027, 2763, 2097, 2025, 3711, 1999, 1996, 2739, 3441, 1012, 2044, 2753, 2086, 1010, 2045, 2003, 2061, 2172, 2592, 2041, 2045, 1516, 1998, 2061, 2116, 9951, 8106, 2004, 2092, 1516, 2008, 2009, 2003, 5186, 3697, 2000, 3584, 1996, 10500, 2013, 1996, 15775, 4246, 1012, 2021, 3342, 2008, 1037, 9714, 2003, 2074, 6792, 2090, 2048, 2030, 2062, 2111, 2000, 10797, 1037, 4126, 1006, 2030, 3104, 2028, 2039, 1007, 1012, 1037, 9714, 2987, 1521, 1056, 2130, 5478, 1037, 2117, 13108, 1012, 2009, 2074, 5942, 2008, 2619, 4661, 1996, 2711, 2040, 2766, 1996, 9495, 2354, 2242, 2030, 2106, 2242, 1012, 2065, 2053, 2028, 2842, 2021, 17411, 2001, 2920, 1010, 2339, 2038, 2045, 2042, 1037, 2753, 1011, 2095, 3947, 2011, 1996, 2231, 1998, 1996, 2865, 2000, 2562, 2592, 2055, 1996, 10102, 1998, 1523, 4812, 1524, 3595, 2013, 1996, 2137, 2111, 1029, 7714, 1010, 1045, 2228, 7625, 20653, 1521, 1055, 4037, 1523, 1046, 24316, 8866, 1524, 2003, 1996, 2190, 2173, 2000, 2131, 8321, 2592, 1998, 4468, 14652, 2055, 1996, 10102, 1997, 2343, 5817, 1012, 20653, 2003, 1037, 2280, 2899, 2695, 6398, 2040, 2038, 2985, 2086, 2667, 2000, 2131, 1996, 9915, 2000, 2713, 1996, 2197, 1015, 1010, 2531, 1046, 24316, 1011, 10102, 1011, 3141, 6764, 2027, 2024, 4363, 3595, 1012, 1996, 9915, 1006, 1998, 1996, 8495, 1007, 2018, 4866, 3716, 1997, 17411, 2077, 1996, 5008, 1010, 1998, 2045, 2003, 3243, 1037, 2978, 1997, 3350, 2000, 6592, 2008, 2002, 2001, 2019, 4454, 11412, 1012, 20653, 14847, 1996, 1523, 2327, 1021, 1046, 24316, 6764, 1996, 9915, 2145, 7906, 3595, 1012, 1524, 2122, 6764, 9125, 9915, 5073, 2040, 2354, 2055, 17411, 1998, 2010, 2381, 2004, 2092, 2004, 3354, 21262, 2953, 14331, 4451, 16107, 1010, 2040, 2018, 3229, 2000, 25467, 6764, 2006, 17411, 1012, 7483, 2619, 2941, 2356, 2317, 2160, 2811, 3187, 6108, 2482, 5420, 2055, 1996, 7861, 8237, 3995, 2098, 6764, 1012, 2009, 1521, 1055, 2988, 1999, 1037, 2466, 2011, 23680, 20051, 11714, 5887, 2006, 3488, 2005, 1996, 8112, 2015, 1998, 7207, 2015, 2000, 3942, 5817, 1521, 1055, 6542, 1012, 3187, 1997, 2110, 2198, 11260, 2409, 7700, 2932, 2023, 2733, 2008, 2002, 2018, 1523, 3809, 13579, 1524, 2008, 3282, 2386, 3389, 7702, 17411, 6051, 2894, 1999, 4288, 5817, 1010, 2021, 1996, 2317, 2160, 2876, 1521, 1056, 2360, 6928, 2073, 8112, 4212, 2006, 1996, 9714, 3399, 1012, 1523, 1045, 4033, 1521, 1056, 2018, 1037, 6594, 2007, 1996, 2343, 2055, 5817, 1521, 1055, 10102, 1517, 2343, 5817, 1521, 1055, 10102, 1010, 1524, 2811, 3187, 6108, 2482, 5420, 2056, 1012, 2002, 2056, 2002, 1521, 1055, 2036, 2025, 5720, 2007, 8112, 2055, 3251, 6219, 6764, 2008, 2031, 2025, 2664, 2042, 2207, 1999, 1996, 2553, 2323, 2022, 2207, 1012, 2009, 1521, 1055, 2051, 2005, 8112, 2000, 2344, 1996, 2713, 1997, 1996, 6764, 1012, 2065, 1996, 9915, 2038, 2498, 2000, 5342, 1998, 17411, 2001, 1037, 10459, 12025, 2040, 6051, 2894, 1010, 2339, 2025, 1029, 1045, 2145, 2031, 2282, 2005, 1037, 2261, 2062, 9631, 1012, 2023, 2028, 2003, 2428, 5875, 1010, 1998, 2009, 5176, 1037, 3160, 2008, 3849, 2200, 7882, 1024, 1523, 2079, 2057, 2444, 1999, 1996, 8185, 1029, 1524, 2013, 7523, 2932, 1024, 1999, 1996, 2639, 16596, 1011, 10882, 2143, 4438, 1996, 8185, 1010, 1996, 10191, 1010, 9253, 1010, 2003, 9860, 2000, 2156, 2111, 13366, 14147, 1996, 4277, 1997, 5584, 1010, 2770, 2039, 3681, 1998, 24866, 3402, 1012, 2122, 27061, 13302, 1997, 1996, 3513, 1997, 1996, 5304, 2024, 2825, 2138, 1010, 4895, 24597, 19779, 23808, 2000, 2032, 1010, 9253, 1521, 1055, 8298, 2003, 11157, 1999, 1996, 8185, 1010, 1037, 7484, 1011, 4507, 12504, 2580, 2011, 2741, 11638, 6681, 1012, 1996, 2895, 2428, 4269, 2043, 9253, 2003, 2445, 1037, 6580, 3993, 3601, 1024, 2202, 1996, 2630, 17357, 1998, 2709, 2000, 2010, 18333, 1010, 7484, 4598, 1010, 2030, 2202, 1996, 2417, 17357, 2000, 4553, 1996, 3606, 2055, 1996, 8185, 1998, 2424, 2041, 1523, 2129, 2784, 1996, 10442, 4920, 3632, 1012, 1524, 13702, 2015, 2064, 2085, 3749, 2149, 1996, 2168, 3601, 1010, 1996, 3754, 2000, 3231, 3251, 2057, 2444, 1999, 2256, 2219, 7484, 8185, 1010, 2011, 5702, 8249, 2013, 2686, 1012, 2004, 5470, 26336, 2004, 2009, 4165, 1010, 2070, 17586, 2031, 2146, 5275, 2008, 2057, 1521, 2128, 2941, 2062, 3497, 2000, 2022, 7976, 4454, 2015, 7567, 1999, 1037, 8275, 5304, 2084, 2057, 2024, 7554, 9273, 1999, 1996, 1523, 2613, 1524, 2028, 1012, 2021, 2065, 2008, 2020, 2995, 1010, 1996, 2200, 4277, 1997, 5584, 2008, 3499, 2149, 2000, 14386, 3366, 2107, 4507, 1011, 9361, 2974, 2089, 2031, 2210, 2000, 2079, 2007, 1996, 8050, 3513, 2008, 21208, 1996, 18804, 1011, 5304, 9613, 2011, 2256, 25837, 2015, 1012, 2000, 2149, 1010, 2122, 28547, 2052, 2022, 5932, 1010, 2583, 2000, 9792, 4507, 2006, 1037, 1059, 14341, 1012, 2061, 2323, 2057, 2360, 2748, 2000, 1996, 3749, 2000, 2202, 1996, 2417, 17357, 1998, 4553, 1996, 3606, 1517, 2030, 2024, 1996, 13494, 2205, 14888, 1029, 2175, 3191, 2009, 1516, 2009, 1521, 1055, 17160, 1998, 14888, 1012, 2009, 2038, 2042, 5018, 2086, 2144, 2343, 8181, 5367, 2288, 2039, 1999, 2392, 1997, 5190, 1997, 2111, 1999, 22577, 1010, 3552, 1010, 2000, 2139, 16467, 1996, 3548, 1521, 2120, 4528, 2012, 1037, 3810, 2391, 1999, 1996, 2942, 2162, 1012, 2010, 2616, 2024, 2070, 1997, 1996, 2087, 13432, 1999, 2137, 2381, 1010, 5091, 11359, 2075, 2256, 7268, 9273, 2007, 1523, 2176, 3556, 1998, 2698, 2086, 3283, 1010, 1524, 1998, 1523, 2035, 2273, 2024, 2580, 5020, 1010, 1524, 1998, 1997, 2607, 1037, 1523, 2231, 1997, 1996, 2111, 1010, 2011, 1996, 2111, 1010, 2005, 1996, 2111, 1012, 1524, 1037, 2261, 2062, 6971, 2006, 1996, 5315, 1024, 1996, 18614, 6755, 1024, 5367, 1521, 1055, 22577, 4769, 2904, 1996, 2137, 25774, 1010, 13970, 2934, 2758, 2061, 1012, 1012, 1012, 2023, 2695, 2038, 3262, 4208, 2006, 2381, 1012, 1045, 2323, 2421, 1037, 2261, 6971, 2000, 2783, 2739, 3441, 1010, 2021, 1045, 2064, 1521, 1056, 3288, 2870, 2000, 2079, 2009, 1025, 1045, 1521, 1049, 2183, 2000, 2203, 2182, 1010, 1998, 2695, 2026, 2739, 6971, 1999, 1996, 7615, 11689, 1012, 1045, 3246, 2017, 1521, 2222, 2079, 1996, 2168, 1012, 2031, 1037, 2307, 2154, 999, 1045, 3246, 3071, 2018, 1037, 2307, 2154, 7483, 1010, 7539, 1997, 2129, 2017, 2985, 2115, 2051, 1012, 2026, 2154, 2001, 2200, 4251, 1010, 2138, 1045, 2018, 2019, 6314, 4308, 2013, 2070, 9371, 11867, 22494, 3215, 1045, 8823, 2006, 9317, 2305, 1012, 2026, 3566, 1998, 1045, 2024, 2183, 2000, 2031, 1523, 15060, 1524, 4596, 2012, 2026, 2905, 1521, 1055, 2173, 2006, 5095, 1010, 2061, 2057, 2074, 5112, 2041, 1998, 8363, 1012, 2009, 1521, 1055, 2183, 2000, 2022 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5293, 2248, 10130, 1012, 7552, 4979, 1011, 11687, 4667, 9452, 3450, 2566, 22327, 9250, 2011, 4968, 4483, 1998, 4111, 2916, 7423, 2967, 13382, 1037, 4937, 6305, 2135, 6491, 2594, 5081, 2000, 4910, 6443, 1998, 2037, 6088, 1012, 1523, 6807, 2008, 2045, 2003, 1037, 6056, 2041, 2045, 1010, 2312, 1998, 2092, 6787, 1010, 2008, 4122, 2000, 2693, 2637, 2185, 2013, 1037, 5971, 4610, 2000, 2054, 2027, 2903, 2052, 2022, 1037, 2062, 20934, 25778, 2594, 9580, 1010, 1524, 2758, 2198, 11294, 1012, 2002, 1005, 1055, 2472, 1997, 4806, 2005, 4113, 3601, 2897, 1006, 1043, 2278, 2078, 1007, 1010, 1037, 6056, 1997, 2833, 1998, 19645, 22495, 3554, 2000, 7969, 7325, 3601, 2011, 17773, 7423, 4349, 2007, 2755, 1012, 2469, 1010, 2045, 2024, 1996, 5710, 27838, 23067, 3215, 2066, 2111, 2005, 1996, 12962, 3949, 1997, 4176, 1006, 9004, 2050, 1007, 1010, 3005, 2343, 2056, 7271, 2197, 3500, 2008, 2016, 5113, 3329, 1011, 1998, 1011, 2677, 4295, 2234, 2000, 2637, 1517, 2521, 2488, 2005, 11468, 2000, 2566, 4509, 2008, 2126, 2084, 2022, 22629, 2005, 2833, 1012, 1998, 1010, 2045, 2024, 1996, 2041, 1011, 1998, 1011, 2041, 10768, 7811, 2015, 2066, 1996, 4111, 7931, 2392, 1006, 24493, 1007, 1998, 4483, 7931, 2392, 1006, 17163, 1007, 2040, 2031, 2579, 4923, 2005, 2107, 6997, 2004, 24912, 1010, 11933, 1998, 11221, 2039, 3121, 1012, 2021, 1010, 11294, 2758, 1996, 2087, 4795, 1997, 2122, 2089, 2022, 1996, 3924, 2116, 6443, 2196, 2963, 1997, 1012, 2122, 2024, 4411, 2008, 20877, 5313, 5867, 1037, 2120, 11376, 2306, 2334, 4279, 1010, 11703, 2854, 2075, 1996, 4483, 12646, 1997, 1037, 11468, 8521, 3029, 1010, 2005, 6013, 1012, 1999, 2755, 1010, 2037, 11376, 2003, 2428, 2000, 2079, 2185, 2007, 11578, 1006, 2025, 2074, 2216, 1999, 1996, 4910, 3068, 1007, 1010, 7553, 6236, 1998, 2974, 1012, 1523, 2027, 1005, 2128, 2667, 2000, 20223, 5971, 2637, 1010, 1998, 2027, 1005, 2128, 2478, 2833, 2138, 2111, 2064, 14396, 2000, 2008, 1010, 1524, 7607, 11294, 1012, 1523, 2065, 2017, 3288, 2091, 1996, 2417, 6240, 3068, 1010, 2004, 2019, 2742, 1010, 2017, 14570, 1996, 3563, 11376, 2015, 1997, 2122, 4111, 2916, 1998, 4483, 2967, 2096, 2036, 14570, 2075, 1996, 12368, 11376, 1997, 2725, 2185, 2007, 4910, 11578, 1012, 1524, 1998, 1010, 2017, 2275, 1037, 20056, 2005, 4487, 11512, 15073, 11578, 1999, 2060, 6088, 1012, 2182, 1005, 1055, 2129, 2009, 3504, 2012, 2188, 1012, 1037, 5438, 10994, 4122, 2000, 4088, 2030, 7818, 1012, 1037, 2334, 2711, 4627, 1037, 3049, 2114, 2009, 2005, 3649, 3114, 1012, 2009, 3544, 2023, 2451, 2266, 1010, 2096, 28616, 28582, 2094, 1010, 2003, 2012, 2560, 18006, 1010, 2061, 2111, 4952, 1012, 1999, 2755, 1010, 2062, 2411, 2084, 2025, 1010, 11294, 2758, 2122, 10575, 2024, 26101, 2005, 2769, 2098, 2120, 5750, 11333, 4726, 2162, 2369, 1996, 5019, 2012, 1996, 23299, 2504, 1012, 2005, 7339, 1010, 2002, 2685, 2000, 1996, 6465, 2006, 9084, 27589, 7876, 2218, 1999, 2167, 3792, 2197, 3467, 1012, 2206, 2008, 3116, 1010, 11294, 16614, 2728, 1042, 1012, 5817, 3781, 1012, 2004, 3038, 1024, 1523, 2057, 2024, 2183, 2000, 2404, 2019, 2203, 2000, 2023, 3068, 1012, 2057, 1005, 2128, 3225, 2007, 1996, 27589, 2015, 1010, 2059, 2057, 2024, 2183, 2044, 1996, 2060, 3924, 1006, 12486, 1998, 22468, 1007, 1012, 1524, 5817, 2003, 3910, 1998, 2343, 1997, 1037, 2177, 2170, 1996, 2300, 24018, 4707, 1006, 1059, 2912, 1007, 1012, 2426, 2060, 2477, 1010, 11294, 7607, 2008, 6465, 14801, 1037, 5656, 2005, 10134, 2000, 9790, 2312, 4111, 8521, 3136, 1999, 2012, 2560, 2274, 2163, 2006, 1996, 5286, 2122, 3136, 8902, 7630, 3207, 2000, 9772, 4480, 4550, 2300, 1012, 2037, 17871, 2036, 14496, 2235, 3136, 2114, 2312, 3924, 1010, 1998, 11578, 2114, 7082, 21584, 2015, 1012, 2426, 1059, 2912, 1005, 1055, 19608, 2024, 2216, 2040, 5147, 12923, 1996, 9098, 1998, 29191, 6088, 1012, 2144, 2059, 1010, 1043, 2278, 2078, 2038, 12808, 1059, 2912, 6624, 2000, 2334, 9590, 2055, 1996, 4935, 1997, 11468, 8521, 3136, 1012, 3953, 2240, 1024, 6443, 2024, 3140, 2000, 11897, 1037, 3423, 2162, 2114, 2120, 4204, 1010, 2025, 2070, 2334, 3265, 2007, 1037, 5923, 2000, 4060, 1012, 1523, 2008, 1005, 1055, 2028, 1997, 1996, 3314, 1010, 1524, 2758, 7990, 8840, 2891, 1010, 1037, 11468, 3135, 2013, 15466, 1010, 17371, 1012, 2002, 4114, 1037, 3116, 1997, 13608, 11468, 6443, 2000, 2963, 2034, 11774, 2013, 11294, 2054, 2027, 1005, 2128, 2039, 2114, 1012, 1523, 2017, 2064, 5247, 1002, 2184, 2454, 2311, 1037, 2449, 1010, 1524, 8840, 2891, 2758, 1010, 1523, 2059, 2017, 2031, 2000, 5247, 2178, 1002, 1015, 2454, 2000, 6985, 2009, 1012, 1524, 1998, 11294, 2685, 2041, 2008, 2122, 4411, 1010, 2029, 4839, 2000, 2689, 2270, 15792, 1010, 2024, 4013, 15509, 15172, 1012, 2045, 2020, 1020, 1010, 2199, 1997, 2122, 2512, 1011, 2231, 4411, 1999, 2901, 4102, 2000, 2676, 1010, 2199, 1999, 2639, 1012, 2037, 4804, 2003, 4013, 15509, 15172, 2004, 2092, 1012, 2090, 2826, 1998, 2687, 2894, 1010, 4804, 2005, 2093, 1997, 1996, 2087, 29536, 6895, 7512, 3560, 2967, 2062, 2084, 11515, 2000, 1002, 5786, 1012, 1021, 2454, 1006, 2156, 2795, 1015, 1007, 1012, 23618, 2004, 2793, 23510, 15568, 1996, 5474, 1999, 1996, 6357, 2003, 1996, 2755, 2008, 2070, 1997, 1996, 4411, 2920, 2024, 2216, 4910, 6443, 2052, 2560, 8343, 1012, 2004, 2019, 2742, 1010, 5254, 3888, 4681, 2000, 2087, 6443, 1010, 1998, 2027, 2763, 2031, 1037, 3730, 3962, 2005, 2049, 3910, 1010, 3220, 9893, 5912, 1012, 2021, 1010, 2270, 2501, 4171, 5491, 5935, 2011, 1043, 2278, 2078, 7487, 2008, 3888, 4681, 2038, 5201, 2000, 1996, 4707, 2005, 1037, 3625, 25430, 3170, 3068, 1006, 29393, 2072, 1007, 1012, 29393, 2072, 2003, 2112, 1997, 2019, 3424, 1011, 27589, 2865, 3049, 2008, 2950, 2092, 1011, 2124, 7490, 2358, 2389, 18367, 2015, 2066, 1996, 2120, 4219, 3639, 2473, 1006, 17212, 16409, 1007, 1010, 1996, 7838, 2252, 1998, 1996, 4483, 2592, 2415, 1006, 1041, 2594, 1007, 1012, 5043, 3973, 1010, 11294, 2758, 17212, 16409, 1998, 1996, 7838, 2252, 2024, 2119, 7846, 1997, 1037, 2899, 1010, 1040, 1012, 1039, 1012, 1011, 2241, 11018, 2170, 27096, 4806, 1010, 2419, 2011, 2585, 27096, 1012, 4661, 4889, 1996, 1041, 2594, 1010, 27096, 23339, 1996, 21862, 2099, 6207, 12665, 1999, 2960, 3390, 2011, 17212, 16409, 1010, 11294, 2758, 1012, 2002, 2101, 23678, 2098, 2008, 1996, 3947, 2081, 2032, 2055, 1002, 6352, 1010, 2199, 1012, 1523, 2967, 2066, 2122, 2024, 1999, 2449, 1012, 2023, 2003, 2129, 2027, 2191, 1037, 2542, 1010, 1524, 2758, 11294, 1012, 2096, 6951, 2372, 2089, 2903, 1999, 1996, 3029, 1005, 1055, 11376, 1010, 2002, 2758, 1010, 1523, 1996, 4177, 1997, 2122, 4411, 2113, 3599, 2054, 2009, 1005, 1055, 2055, 1010, 2437, 2769, 1998, 14570, 2075, 6034, 2576, 11376, 2015, 1012, 1524, 2059, 1010, 2045, 1005, 1055, 1037, 2177, 2170, 1996, 11572, 2837, 2005, 3625, 4200, 1006, 7473, 10867, 1007, 1012, 2750, 1996, 18001, 2514, 1997, 2049, 21937, 1010, 11294, 7607, 1010, 1523, 1999, 1037, 2270, 14865, 2005, 1996, 1057, 1012, 1055, 1012, 2231, 2000, 9790, 1057, 1012, 1055, 1012, 6240, 3068, 16629, 1010, 11030, 22266, 1010, 7473, 10867, 2343, 1010, 2056, 1010, 1520, 2096, 2116, 22680, 2024, 2157, 2135, 4986, 2055, 3268, 1998, 2769, 2439, 2000, 9098, 3316, 1010, 2027, 1005, 2128, 9217, 1996, 14886, 3896, 1997, 6240, 8381, 1529, 6240, 8381, 2003, 2074, 2004, 4795, 2000, 2270, 2740, 2004, 9098, 2224, 1012, 2009, 1005, 1055, 2051, 2057, 2246, 2012, 3173, 1996, 6240, 6443, 1998, 3435, 1011, 2833, 11730, 10142, 26771, 1012, 1521, 1524, 2153, 1010, 2083, 2270, 2501, 4171, 5491, 1010, 1043, 2278, 2078, 3603, 2008, 1996, 7473, 10867, 2363, 1037, 3946, 1997, 1002, 4724, 2475, 1010, 4720, 2549, 1999, 2639, 1010, 2035, 1997, 1996, 11128, 5857, 2081, 2011, 1996, 3192, 2000, 2490, 4111, 3860, 1006, 1042, 3736, 2361, 1007, 2008, 2095, 1012, 1996, 2343, 1997, 1042, 3736, 2361, 2012, 1996, 2051, 2001, 22266, 1012, 1996, 3580, 2343, 2001, 22093, 2047, 23630, 2243, 1010, 2343, 1997, 9004, 2050, 1012, 2047, 23630, 2243, 2772, 1996, 1042, 3736, 2361, 4171, 2433, 1010, 2029, 3205, 2049, 4769, 2004, 1996, 2168, 2028, 2109, 2011, 9004, 2050, 1012, 4755, 2023, 1037, 3357, 2582, 1010, 1043, 2278, 2078, 2038, 12808, 5857, 2013, 2107, 2967, 2004, 9004, 2050, 2000, 2062, 7490, 3633, 1012, 2122, 2024, 2111, 2124, 2000, 10797, 24912, 1010, 6033, 3200, 1998, 10797, 2060, 2236, 26865, 1999, 1996, 2171, 1997, 4111, 2916, 1012, 2655, 2009, 1037, 3423, 5806, 2208, 1010, 10047, 22049, 7412, 8566, 13327, 2100, 2030, 2074, 1037, 14448, 16507, 1010, 2021, 11294, 2758, 2023, 2828, 1997, 2691, 4804, 2003, 5171, 1012, 7637, 1996, 4804, 1997, 2967, 2066, 2122, 1010, 1998, 2017, 1005, 2222, 7523, 2070, 2092, 1011, 2124, 7325, 4435, 3415, 1012, 1043, 2278, 2078, 2097, 4895, 3726, 4014, 1037, 2862, 2012, 7479, 1012, 7423, 15671, 2232, 1012, 4012, 1999, 2254, 1012, 17773, 1996, 8841, 2175, 6632, 2705, 1523, 2017, 2064, 1005, 1056, 9353, 15549, 2229, 3401, 1998, 4897, 2058, 3241, 2122, 2967, 2024, 2183, 2000, 2175, 2185, 1012, 2027, 4995, 1005, 1056, 1012, 2027, 2031, 1037, 4800, 1011, 5476, 11376, 1010, 1998, 2027, 1005, 2128, 2437, 5082, 2296, 2095, 1010, 1524, 2758, 11294, 1012, 2008, 1005, 1055, 2028, 3114, 1043, 2278, 2078, 2165, 7117, 1037, 3232, 1997, 2086, 3283, 1012, 2738, 2084, 2954, 4895, 21001, 1010, 8742, 2389, 4447, 11902, 2098, 2012, 1037, 3327, 2833, 2030, 19645, 4031, 1010, 2049, 2372, 6148, 2000, 5676, 7325, 3601, 2011, 9694, 7423, 2967, 4942, 12693, 10711, 2618, 2037, 4447, 1012, 2083, 4073, 2066, 9651, 2512, 1011, 5618, 4171, 5651, 1998, 6631, 2592, 2007, 1996, 2088, 3081, 2037, 4773, 2609, 2012, 7479, 1012, 19174, 14561, 1012, 4012, 1010, 1043, 2278, 2078, 2038, 2525, 2081, 2070, 2967, 8796, 2438, 2000, 4139, 1999, 2037, 11569, 1012, 5199, 25957, 8540, 1010, 3910, 1998, 3237, 3580, 2343, 1997, 2041, 5963, 21475, 2160, 1010, 2029, 4240, 2055, 1016, 2454, 12278, 1037, 2733, 1010, 7607, 2010, 3813, 1005, 1055, 1043, 2278, 2078, 5779, 2023, 2126, 1024, 1523, 2009, 1005, 1055, 2613, 3722, 1012, 2057, 2215, 2000, 2022, 8851, 5117, 1999, 1996, 5981, 1012, 2057, 2123, 1005, 1056, 2215, 1037, 2028, 1011, 11536, 4654, 7913, 23738, 2177, 9756, 1996, 5981, 1012, 1524, 2044, 2035, 1010, 2296, 2051, 2019, 7423, 2177, 4372, 4588, 2229, 1996, 2270, 2000, 4965, 2046, 2049, 4349, 1010, 10390, 4558, 2028, 2062, 3601, 1010, 1998, 1996, 3465, 1997, 2449, 7457, 1012, 25957, 8540, 3594, 28248, 5572, 2004, 2019, 2742, 1012, 2074, 1037, 2261, 23377, 3283, 1010, 4840, 1011, 24702, 2098, 28248, 5572, 2001, 1996, 3115, 2012, 2087, 7884, 1010, 2164, 3435, 1011, 2833, 11730, 1012, 2085, 1010, 7167, 1997, 2068, 2031, 2908, 2000, 3529, 2008, 7609, 1011, 18767, 1010, 3653, 1011, 24702, 2098, 5572, 1012, 2339, 1029, 25957, 8540, 2758, 2019, 7423, 2177, 9530, 3597, 10985, 2070, 2470, 8131, 2008, 1996, 3941, 3378, 2007, 16005, 5572, 2453, 3710, 2039, 2062, 10327, 2084, 3653, 1011, 3816, 4933, 1012, 2738, 2084, 2954, 1996, 18404, 1011, 2671, 1010, 25957, 8540, 2758, 1523, 1037, 2843, 1997, 3316, 7237, 2000, 2512, 1011, 24702, 2098, 5572, 2007, 2035, 1997, 2122, 3653, 8043, 20203, 6961, 1998, 12141, 1012, 2009, 3465, 2068, 8817, 1997, 6363, 2000, 6942, 1010, 4606, 2027, 3612, 2039, 2007, 1037, 4031, 1045, 2123, 1005, 1056, 2228, 16958, 2004, 2204, 1012, 10390, 2024, 1996, 7209, 10916, 1012, 1524, 2017, 2064, 2145, 2131, 1996, 2613, 2518, 2012, 2041, 5963, 1012, 1523, 2348, 2122, 7423, 2967, 2024, 2235, 1010, 2013, 1037, 2865, 3233, 8400, 2027, 2024, 4621, 1010, 1524, 2758, 25957, 8540, 1012, 1523, 1998, 2009, 1005, 1055, 3697, 2005, 1037, 2417, 6240, 2194, 1006, 2004, 2019, 2742, 1007, 2000, 2360, 2122, 2967, 2024, 3308, 1999, 1996, 4447, 2027, 2024, 2437, 2055, 2417, 6240, 1012, 2009, 1005, 1055, 6082, 2005, 4113, 3601, 2000, 2360, 2009, 2138, 2027, 5050, 2035, 1997, 2122, 2833, 1998, 19645, 6088, 1012, 1524, 5262, 1012, 11294, 7607, 1010, 1523, 2256, 3260, 2003, 2000, 5607, 2019, 8612, 2046, 1996, 11981, 1997, 2122, 5968, 20875, 4447, 1998, 1996, 21553, 1997, 1996, 4411, 2369, 2068, 1529, 2035, 2057, 1005, 2128, 2725, 2003, 8650, 1996, 4071, 1997, 3601, 1012, 2057, 2064, 2886, 1996, 11981, 2073, 3119, 8924, 2031, 2000, 6985, 2037, 4031, 1012, 1524, 11294, 20618, 2019, 3068, 10048, 2003, 6827, 2138, 7423, 2967, 2123, 1005, 1056, 2031, 2000, 2022, 8321, 1999, 2054, 2027, 2360, 2000, 2022, 4621, 1012, 10617, 2003, 2332, 1012, 1523, 1996, 2878, 2954, 2003, 2055, 2270, 5448, 1010, 1998, 2057, 2024, 3974, 2008, 2954, 1010, 1524, 2758, 11294, 1012, 1523, 2108, 3653, 6633, 24971, 2003, 1996, 3145, 2138, 2320, 2019, 3277, 4152, 2046, 1996, 3780, 2017, 1005, 2128, 3554, 1037, 2367, 2954, 1012, 2320, 2019, 3277, 4152, 2000, 1996, 10738, 2504 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2149, 19123, 2581, 15136, 2509, 1037, 10061, 2800, 1999, 4447, 2800, 1999, 6412, 1006, 1051, 26775, 3793, 2089, 5383, 10697, 1007, 5553, 1012, 2385, 1010, 3705, 1039, 1012, 1052, 1012, 15775, 15472, 3217, 6199, 12109, 3455, 3125, 3320, 1016, 8697, 1011, 7123, 1015, 6406, 2233, 2423, 1010, 3624, 1058, 12235, 1012, 1006, 5292, 4160, 2571, 3501, 1039, 1005, 10882, 1013, 1037, 1039, 1005, 12997, 15794, 11333, 1050, 2011, 8038, 2860, 1013, 1059, 7861, 1037, 6255, 2475, 1025, 1029, 4583, 1058, 3501, 1031, 1045, 1005, 2462, 20554, 3669, 2072, 1041, 5553, 1012, 2385, 1010, 3705, 1039, 1012, 1052, 1012, 15775, 2140, 16257, 3217, 6199, 1017, 1010, 5890, 2581, 1010, 18677, 12109, 3455, 3125, 3320, 6406, 2233, 2423, 1010, 3624, 1016, 8697, 1011, 7123, 1016, 1047, 1005, 2322, 1999, 8159, 17153, 1012, 3131, 1045, 1024, 17997, 2229, 8823, 3372, 10882, 8873, 3401, 1017, 1010, 10882, 2140, 2581, 1010, 1048, 2620, 2509, 16719, 5553, 1012, 2385, 1010, 3999, 1017, 1010, 5890, 2581, 1010, 18677, 12109, 3455, 3125, 3320, 2798, 1052, 1012, 15775, 15472, 3217, 6199, 1010, 6282, 2629, 10965, 13642, 1012, 1059, 1012, 1010, 8207, 1010, 10848, 2290, 1012, 6406, 9388, 1012, 2423, 1010, 3624, 1010, 14262, 1012, 2053, 1012, 2459, 1010, 6163, 2629, 1017, 4447, 1012, 1006, 18856, 1012, 25371, 2487, 1012, 1019, 1007, 2023, 11028, 2003, 2856, 2000, 2998, 1998, 2208, 22449, 1010, 1998, 2062, 3391, 1010, 2000, 1037, 3455, 3125, 3320, 1012, 2028, 1997, 1996, 3078, 5200, 1997, 2023, 11028, 11665, 1999, 1996, 9347, 1997, 1037, 3455, 3125, 3320, 2164, 1037, 27669, 4664, 1998, 1037, 2067, 6277, 4664, 1010, 1998, 2029, 2582, 2950, 26404, 2965, 4352, 2005, 1037, 2898, 2846, 1997, 5269, 1997, 1996, 27669, 1998, 2067, 6277, 8810, 2007, 4847, 2000, 1996, 4578, 21739, 2013, 1996, 2652, 3302, 1012, 1037, 2582, 7863, 2003, 2000, 3073, 1037, 5080, 1997, 1996, 2839, 2649, 2029, 2003, 12192, 12109, 1010, 1998, 2029, 2089, 2022, 2855, 1998, 4089, 17293, 2061, 2004, 2000, 12346, 1037, 4659, 2235, 7427, 2043, 4487, 20939, 3366, 23931, 1012, 1037, 2582, 5056, 17707, 2013, 1996, 2556, 2810, 2003, 2008, 1037, 2208, 10439, 15204, 3401, 1997, 1996, 2839, 5393, 2682, 2003, 8127, 1010, 1996, 2810, 2108, 2107, 2008, 1996, 27669, 1998, 2067, 6277, 4664, 2003, 5967, 2000, 2022, 10959, 1999, 1037, 20018, 15436, 2135, 1010, 2030, 2830, 2135, 19835, 3295, 2013, 1996, 2918, 1998, 2364, 2490, 1010, 8558, 2625, 7406, 1996, 6061, 1997, 17128, 4544, 2000, 1996, 2867, 1012, 2178, 7863, 1997, 5197, 2003, 2008, 1996, 19037, 2965, 2443, 2182, 2378, 2191, 2009, 2825, 2000, 13228, 2135, 12453, 1996, 27669, 4664, 1997, 1996, 3125, 3320, 2593, 23190, 2030, 20018, 2007, 4847, 2000, 1996, 2652, 3302, 1010, 8558, 12067, 5198, 1997, 1996, 5080, 2000, 12666, 2009, 2593, 1999, 7511, 3455, 2828, 2399, 1010, 2030, 1999, 2399, 16726, 1996, 4874, 2003, 2000, 2173, 1996, 3455, 2030, 2060, 25921, 2083, 1037, 20018, 21866, 27669, 1012, 2145, 2178, 4874, 1997, 2023, 11028, 2003, 2000, 3073, 2019, 10439, 15204, 3401, 1997, 1996, 2465, 2649, 2682, 2029, 2003, 3605, 1997, 12192, 2800, 3430, 8558, 8161, 1996, 3465, 1997, 9922, 1010, 2028, 2029, 2003, 2512, 1011, 3375, 1999, 3320, 1010, 1998, 2028, 2029, 2003, 5186, 25634, 1999, 2224, 1998, 9832, 2000, 1996, 5591, 2076, 2377, 1012, 2060, 1998, 2582, 5200, 1998, 12637, 1997, 1996, 2556, 11028, 2097, 2468, 2062, 12192, 6835, 2013, 1037, 9584, 1997, 1996, 2206, 12827, 1010, 2043, 3191, 1999, 4434, 2007, 1996, 10860, 9254, 1010, 1999, 2029, 1024, 3275, 1015, 2003, 1037, 7339, 3193, 1997, 1037, 3455, 3125, 3320, 3833, 1999, 10388, 2007, 1996, 12209, 1997, 2023, 11028, 1025, 3275, 1016, 2003, 2019, 9913, 7339, 1010, 2006, 1037, 4094, 2714, 2000, 2008, 1997, 3275, 1015, 1010, 28252, 1996, 6177, 1997, 1996, 3320, 2464, 1999, 2008, 3275, 1025, 3275, 1017, 2003, 1037, 15778, 5649, 3193, 1010, 1999, 7471, 2892, 29015, 1010, 1997, 1996, 3356, 4664, 1997, 1996, 3320, 1010, 2023, 3193, 2108, 2006, 2019, 11792, 4094, 2007, 4847, 2000, 4481, 1048, 1998, 1016, 1025, 3275, 1018, 2003, 1037, 6987, 1010, 2892, 1011, 27197, 3193, 2579, 12381, 2006, 1996, 2240, 4008, 1997, 3275, 1017, 1010, 2559, 1999, 1996, 3257, 1997, 1996, 12563, 1025, 1998, 1010, 3275, 1019, 2003, 2019, 11792, 7339, 3193, 1997, 2028, 1997, 1996, 15255, 2135, 26404, 5843, 2965, 4846, 2182, 2378, 1012, 18207, 2085, 2000, 1037, 2062, 6851, 6412, 1997, 1996, 11028, 1010, 1998, 2007, 3327, 4431, 2000, 4481, 1048, 1998, 1016, 1010, 1996, 3455, 3125, 3320, 2038, 2042, 3227, 4351, 2045, 2378, 2011, 4431, 2839, 2009, 1007, 1012, 1996, 3320, 2950, 1037, 3227, 12532, 16975, 1010, 9530, 27454, 1011, 18309, 2918, 2260, 2719, 1997, 3082, 3384, 1010, 2030, 1996, 2066, 1010, 2383, 1037, 2430, 18892, 2403, 2719, 2045, 2378, 1010, 1998, 2108, 5967, 2000, 2717, 2588, 1037, 4637, 3302, 2007, 1996, 18309, 2217, 21739, 21866, 10745, 2135, 1012, 1037, 25147, 10353, 2385, 3934, 10745, 2135, 2083, 1996, 18892, 2403, 1010, 1998, 1996, 10353, 2950, 2019, 11792, 1010, 5754, 7934, 4664, 2324, 2012, 2049, 2896, 2203, 2029, 2003, 7119, 2000, 1996, 9530, 27454, 2227, 1997, 1996, 2918, 2260, 8558, 3529, 2000, 6464, 4652, 17128, 15436, 12532, 10087, 7542, 1997, 1996, 10353, 2013, 1996, 2918, 1012, 1996, 10353, 2385, 2003, 16058, 26583, 1012, 1012, 2019, 17876, 1010, 8892, 1010, 25147, 2034, 3115, 2322, 2003, 5967, 2000, 2022, 2128, 19738, 3736, 6321, 7119, 2000, 1996, 2918, 2260, 1010, 1998, 2038, 2019, 15436, 2135, 26583, 2896, 2203, 4664, 2570, 2005, 23851, 2046, 1996, 10353, 2403, 1999, 26583, 8147, 2045, 24415, 1998, 2019, 4500, 3356, 2203, 4664, 2484, 1012, 1996, 3356, 2203, 4664, 2484, 2038, 1037, 3940, 1997, 22939, 12589, 3973, 4941, 1010, 28155, 14787, 2140, 16556, 2656, 2719, 2045, 2378, 1012, 10093, 2229, 26461, 3973, 2363, 1999, 1996, 2034, 3115, 2322, 2003, 2019, 17876, 1010, 25147, 2034, 5331, 2266, 2654, 1997, 2107, 6705, 2008, 2009, 2003, 5373, 10350, 4934, 3085, 2045, 2378, 1010, 1996, 2266, 2654, 2383, 1037, 3940, 1997, 4500, 2135, 21866, 2203, 8810, 2382, 1998, 3590, 1012, 1037, 29018, 1997, 22939, 12589, 3973, 4941, 7689, 1997, 18892, 2015, 1005, 4090, 2024, 2719, 2012, 20018, 19835, 5269, 2247, 1996, 5331, 2266, 1012, 2019, 17876, 2892, 9231, 4029, 2003, 7119, 2011, 4677, 2965, 4229, 2000, 1996, 2203, 4664, 2484, 1997, 1996, 3115, 2322, 1010, 1998, 1996, 7689, 1997, 18892, 2015, 4090, 1999, 1996, 2034, 5331, 2654, 2024, 5967, 2000, 2022, 13228, 2135, 5317, 23773, 2098, 2007, 1996, 16556, 2656, 1999, 1996, 2034, 3115, 2322, 1012, 1996, 2892, 9231, 4029, 2003, 2059, 12889, 2083, 1996, 16556, 2656, 1998, 2151, 3479, 1010, 13115, 3940, 1997, 1996, 18892, 2015, 4090, 8558, 26339, 1996, 2034, 5331, 2654, 2012, 2151, 3479, 2028, 1997, 1037, 29018, 1997, 11143, 2306, 1996, 2034, 3115, 2322, 1012, 2947, 1010, 1996, 11028, 2950, 1037, 2034, 2965, 2005, 19158, 1996, 4578, 1997, 1996, 2490, 3320, 1012, 1996, 3356, 2203, 4664, 3590, 1997, 1996, 5331, 2266, 2654, 28790, 1999, 2019, 13050, 2203, 2813, 2871, 1010, 1998, 2019, 5754, 7934, 5795, 5783, 4413, 8908, 15436, 2135, 2045, 19699, 5358, 1012, 1996, 5795, 4413, 2950, 10078, 5110, 1998, 6058, 5344, 1010, 1998, 1996, 5110, 2227, 21739, 2003, 3024, 2007, 1037, 29018, 1997, 25022, 11890, 2819, 7512, 24271, 2135, 19835, 1010, 11918, 7476, 4013, 28251, 23169, 9623, 4008, 1010, 2169, 1997, 2056, 4013, 28251, 23169, 9623, 2383, 2019, 13050, 3341, 4805, 23229, 2013, 1037, 2430, 18892, 4466, 2719, 1999, 1996, 5795, 4413, 1998, 8402, 18323, 2135, 2045, 2705, 22494, 5603, 1012, 2009, 2003, 2590, 2000, 3602, 2008, 1996, 7926, 4805, 11443, 1996, 5110, 2227, 2046, 2176, 12381, 5020, 29371, 2015, 1010, 1998, 2008, 1996, 3991, 2240, 1997, 2169, 29371, 17367, 2019, 13050, 3028, 1010, 1996, 21970, 1997, 2056, 3028, 2108, 4500, 2000, 1996, 21970, 1997, 1996, 7926, 4805, 1012, 1996, 3800, 1997, 2023, 3544, 1999, 2062, 6987, 2917, 1012, 1037, 21053, 5795, 5783, 2753, 2003, 3024, 1010, 1998, 2003, 1997, 7235, 2810, 2007, 1996, 5795, 5783, 4413, 1012, 1037, 3753, 10053, 4720, 2003, 5967, 2000, 2022, 2979, 18323, 2135, 2083, 1996, 18892, 2015, 1999, 1996, 5795, 3787, 4413, 1010, 2753, 1010, 1998, 1037, 3358, 17490, 5139, 2003, 7119, 2045, 3406, 1012, 2009, 2097, 2022, 3264, 2008, 1996, 5795, 3787, 17654, 2000, 2433, 1037, 15255, 2135, 26404, 14889, 2965, 5179, 1012, 1996, 3169, 1997, 1996, 15255, 2135, 26404, 5843, 2965, 7336, 1996, 19120, 1997, 1996, 7972, 5110, 5344, 1997, 1996, 5795, 3787, 4413, 1998, 2358, 1999, 2227, 1011, 2000, 1011, 2227, 1010, 8273, 13027, 3276, 1012, 1999, 2023, 3276, 1010, 1996, 7926, 4805, 6970, 13159, 4270, 2007, 1996, 12467, 1999, 1996, 10078, 2266, 1010, 1998, 2947, 2433, 2019, 6970, 13159, 16594, 2965, 1012, 1996, 10053, 4720, 1998, 3358, 17490, 5139, 3710, 2000, 6464, 5843, 2122, 3787, 1999, 1996, 3479, 3276, 1010, 1998, 2043, 2009, 2003, 9059, 2000, 2689, 2023, 3276, 1010, 1996, 3358, 17490, 5139, 2003, 6153, 2125, 1037, 3292, 7182, 2000, 3499, 1996, 7926, 4805, 2000, 2022, 4487, 5054, 3654, 5999, 2013, 1996, 12467, 4466, 1010, 1998, 2333, 2000, 1037, 4397, 3479, 3295, 1012, 1996, 3358, 17490, 5139, 2003, 2059, 2153, 2333, 2000, 1037, 14889, 2597, 1010, 1998, 2582, 5816, 9963, 2090, 1996, 23029, 4413, 1998, 2753, 2003, 6464, 8729, 1012, 8402, 2013, 1998, 7119, 2000, 1996, 5795, 3787, 5179, 2003, 1037, 24646, 2497, 5331, 5388, 2029, 2950, 2019, 5110, 2203, 4664, 3438, 1010, 2019, 4500, 6058, 2203, 4664, 5786, 1010, 1998, 2019, 13050, 2203, 2813, 4185, 1012, 7783, 1996, 4515, 3438, 1010, 5786, 1010, 1996, 24646, 2497, 5331, 5388, 2003, 3024, 2007, 1037, 2309, 3940, 6191, 1997, 28155, 14787, 9215, 13115, 18892, 2015, 1012, 1996, 24646, 2497, 5331, 5388, 2003, 10093, 2229, 26461, 3973, 2363, 1999, 1996, 2896, 2203, 4664, 5764, 1997, 2019, 17876, 1010, 25147, 2117, 3115, 6273, 2029, 2950, 2019, 4500, 3356, 2203, 4664, 3963, 1012, 1996, 2896, 2203, 4664, 5764, 2003, 3024, 2007, 1037, 2034, 3940, 1997, 22939, 12589, 3973, 4941, 1010, 28155, 14787, 9215, 13115, 18892, 2015, 5824, 1010, 1998, 2007, 1037, 2117, 3940, 1997, 18892, 2015, 6356, 5412, 2007, 1996, 19589, 1997, 1996, 7689, 1999, 3227, 19581, 3276, 2007, 4847, 2000, 2028, 2178, 1010, 1998, 2007, 1996, 2117, 3940, 1997, 18892, 2015, 19835, 20018, 10745, 2013, 1996, 2034, 3940, 1012, 2122, 2048, 7689, 1997, 18892, 2015, 5824, 1998, 6356, 2024, 5967, 2000, 2022, 13228, 2135, 5317, 23773, 2098, 2007, 1996, 2309, 3940, 1997, 18892, 2015, 6191, 1999, 1996, 24646, 2497, 5331, 1010, 1998, 1037, 9231, 5783, 6146, 1010, 2029, 2003, 7119, 2000, 1996, 2203, 4664, 5764, 2011, 1037, 4677, 6275, 2029, 2089, 2022, 3668, 18323, 2135, 2045, 2705, 22494, 5603, 1012, 2011, 3114, 1997, 1996, 2755, 2008, 1996, 2048, 7689, 5824, 1998, 1021, 2050, 1997, 18892, 2015, 2024, 5412, 1999, 3227, 2892, 14244, 7826, 1010, 2009, 2003, 2464, 2008, 1996, 2117, 3115, 2089, 2022, 2218, 2012, 1037, 3479, 2028, 1997, 2176, 2825, 5269, 2007, 4847, 2000, 1996, 24646, 2497, 5331, 1012, 10093, 2229, 26461, 3973, 2363, 1999, 1996, 2117, 5331, 1020, 1003, 1010, 2013, 1996, 2330, 2203, 21739, 2443, 1999, 1996, 3356, 2203, 4664, 3963, 1010, 2003, 2019, 17876, 1010, 25147, 2117, 5331, 2266, 6486, 1010, 2029, 2003, 7235, 1999, 2810, 1998, 3320, 1010, 1998, 1999, 3853, 2000, 1996, 2034, 5331, 2654, 1010, 1998, 1999, 1996, 5059, 1010, 2066, 4431, 3494, 2031, 2042, 4162, 2045, 3406, 2007, 1996, 3661, 1037, 10439, 21945, 2000, 10782, 1996, 2168, 1012, 7119, 2000, 1996, 5795, 5179, 2050, 2003, 2019, 17876, 1010, 12381, 10806, 1010, 4257, 1010, 27669, 2490, 5783, 6070, 2029, 2950, 1037, 6823, 5596, 5110, 2203, 3938, 1998, 2019, 10078, 6058, 2203, 6227, 1012, 1996, 5110, 2203, 3938, 2003, 7119, 2000, 1996, 5795, 5179, 2050, 2029, 2003, 10959, 2061, 2008, 2049, 22939, 12589, 2389, 4946, 2003, 12381, 19581, 2000, 1996, 4946, 1997, 1996, 4257, 14244, 6698, 1997, 1996, 27669, 2490, 5783, 1012, 4964, 2135, 7119, 2000, 1996, 6058, 2203, 6227, 1997, 1996, 27669, 10514, 2361, 3417, 5783, 2003, 1037, 7511, 3455, 27669, 5986, 2383, 1037, 5658, 5818, 5614, 2045, 2239, 1999, 1996, 5156, 5450, 1012, 2036, 1010, 1037, 3940, 1997, 12670, 13462, 2828, 27788, 29278, 6129, 2372, 1015, 1003, 1010, 9402, 3710, 2000, 12919, 1998, 11841, 8757, 1996, 4434, 1997, 1996, 27669, 2000, 1996, 27669, 2490, 5783, 1012, 7783, 1996, 4515, 1997, 1996, 27669, 2490, 5783, 6070, 2024, 2719, 1037, 3940, 1997, 18323, 18892, 2015, 9645, 1012, 1037, 2067, 6277, 3320, 10114, 2003, 3024, 1010, 1998, 2950, 1037, 10806, 2067, 6277, 5783, 10715, 1010, 1998, 2019, 1048, 1011, 5044, 7176, 21605, 2340, 1003, 1007, 2383, 1037, 12170, 27942, 12921, 4190, 4664, 11176, 7119, 2000, 2028, 2217, 1997, 1996, 2067, 6277, 5783, 1010, 1998, 1037, 3329, 4664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 2054, 2024, 6683, 7520, 16103, 3644, 7403, 7870, 1029, 1011, 2740, 5906, 1011, 2054, 2003, 2019, 6683, 7520, 16103, 3644, 7403, 5997, 1006, 19128, 21600, 1007, 1029, 1011, 2054, 2003, 6839, 11326, 1029, 1011, 2040, 2323, 2022, 7718, 1029, 1011, 2054, 2065, 1045, 2572, 1037, 6839, 1029, 1011, 2003, 1996, 3231, 8321, 1029, 1011, 2323, 1045, 2022, 7718, 1029, 1011, 2339, 2025, 2022, 7718, 1029, 1011, 2060, 3182, 2000, 2131, 2393, 1011, 3141, 2592, 6683, 7520, 16103, 3644, 7403, 5997, 1006, 19128, 21600, 1007, 6683, 7520, 16103, 3644, 7403, 5997, 1006, 19128, 21600, 1007, 2054, 2024, 6683, 7520, 16103, 3644, 7403, 7870, 1029, 6683, 7520, 16103, 3644, 7403, 7870, 2024, 1037, 2177, 1997, 4678, 10840, 2008, 5258, 2062, 2411, 1999, 2111, 1997, 2789, 2647, 1006, 6683, 7520, 16103, 1007, 3644, 4348, 2084, 1999, 1996, 2236, 2313, 1012, 2130, 2295, 2087, 1997, 2122, 7870, 2024, 5729, 1998, 2166, 1011, 14879, 1010, 2070, 2064, 2022, 5845, 2000, 5547, 8030, 1998, 4013, 10052, 2166, 1012, 2070, 1997, 2122, 7870, 2064, 2022, 2179, 2076, 10032, 2083, 16480, 14772, 2594, 6819, 20159, 16227, 1006, 26226, 2015, 1007, 2030, 2572, 27678, 13013, 19009, 1012, 2023, 5604, 2003, 2589, 2788, 2065, 2028, 2030, 2119, 3008, 2024, 11363, 1997, 1037, 7403, 4295, 1012, 7870, 1999, 2023, 2177, 2421, 1024, 1011, 13426, 8715, 1012, 10834, 2007, 2023, 4295, 2024, 2141, 2235, 1998, 3961, 7820, 2084, 3671, 2004, 2027, 4982, 1012, 2037, 3096, 2089, 2298, 2417, 1010, 1998, 2027, 2031, 2062, 11192, 1998, 4540, 15245, 2084, 2336, 5373, 2031, 1012, 1011, 2064, 12462, 2078, 4295, 1012, 2023, 4295, 6360, 20735, 4167, 8153, 1012, 1011, 22330, 10074, 10882, 12618, 6190, 1012, 2023, 4295, 5320, 2200, 4317, 14163, 7874, 1999, 1996, 8948, 1998, 3471, 2007, 17886, 2075, 2833, 1012, 1011, 6904, 4328, 6632, 2140, 1040, 7274, 4887, 2669, 20936, 2050, 1006, 1042, 2094, 1007, 1012, 2111, 2007, 2023, 3291, 3685, 2514, 3255, 1010, 2027, 7518, 1037, 2843, 1010, 1998, 2027, 2031, 4390, 2007, 4613, 1998, 12016, 1012, 1011, 5470, 8663, 2072, 2019, 17577, 1012, 2111, 2007, 2023, 3291, 2079, 2025, 2031, 2438, 2668, 4442, 1998, 2031, 3471, 2007, 1996, 2540, 1010, 14234, 2015, 1010, 2608, 1010, 2030, 3456, 1012, 2027, 2036, 2024, 2062, 3497, 2000, 2131, 4456, 1012, 1011, 11721, 22368, 4295, 1012, 2023, 4295, 5320, 1037, 2828, 1997, 6638, 2170, 1043, 7630, 3597, 17119, 15878, 7352, 5178, 2000, 3857, 2039, 1999, 3056, 4442, 1997, 1996, 11290, 1010, 11867, 24129, 1010, 1998, 5923, 24960, 1012, 1011, 14163, 25778, 11514, 13820, 6190, 4921, 1012, 2023, 3291, 5320, 1996, 6091, 2291, 2000, 28283, 25346, 3686, 1010, 2030, 3338, 2091, 1010, 2058, 2051, 1012, 1011, 9152, 17545, 1011, 4060, 4295, 1006, 2828, 1037, 1007, 1012, 2023, 4295, 5320, 1037, 2828, 1997, 6638, 2170, 11867, 12053, 16940, 18809, 2000, 3857, 2039, 1999, 4442, 1997, 1996, 11290, 1010, 11867, 24129, 1010, 1048, 24335, 8458, 14164, 1010, 1998, 5923, 24960, 1012, 1011, 28117, 1011, 22818, 4295, 1012, 2023, 4295, 5320, 1037, 2828, 1997, 6638, 2170, 6080, 12798, 7363, 2000, 3857, 2039, 1999, 1996, 4442, 1997, 1996, 4167, 1998, 6091, 2291, 1012, 1011, 17153, 10992, 1040, 27268, 12488, 1012, 2111, 2007, 2023, 3291, 2031, 7552, 12403, 19230, 2008, 9792, 1996, 6650, 1999, 2037, 2608, 1010, 3456, 1010, 1998, 2823, 2037, 2303, 1012, 5604, 2005, 2023, 4650, 2089, 2025, 2467, 2022, 2589, 1012, 2055, 1015, 2041, 1997, 1018, 2111, 1997, 6683, 7520, 16103, 3644, 4348, 2003, 1037, 6839, 1997, 2028, 1997, 2122, 7403, 3785, 1010, 2087, 4141, 1997, 11721, 22368, 4295, 1010, 22330, 10074, 10882, 12618, 6190, 1010, 28117, 1011, 22818, 4295, 1010, 6904, 4328, 6632, 2140, 1040, 7274, 4887, 2669, 20936, 2050, 1010, 2030, 2064, 12462, 2078, 4295, 1012, 1015, 2740, 5906, 2393, 2017, 2191, 7968, 2740, 6567, 2030, 2202, 2895, 2000, 5335, 2115, 2740, 1012, 1064, 3247, 2685, 3579, 2006, 3145, 2966, 2729, 6567, 2008, 2024, 2590, 2000, 2116, 2740, 3471, 1012, 1064, 1064, 10032, 1024, 2323, 1045, 2031, 2572, 27678, 13013, 19009, 1029, 1064, 1064, 10032, 1024, 2323, 1045, 2031, 26226, 2015, 1006, 16480, 14772, 2594, 6819, 20159, 16227, 1007, 1029, 1064, 2054, 2003, 2019, 6683, 7520, 16103, 3644, 7403, 5997, 1006, 19128, 21600, 1007, 1029, 2019, 6683, 7520, 16103, 3644, 7403, 5997, 1006, 19128, 21600, 1007, 2003, 1037, 2668, 3231, 2008, 3504, 2005, 7403, 7870, 2008, 5258, 2062, 2411, 1999, 2111, 1997, 2789, 2647, 1006, 6683, 7520, 16103, 1007, 3644, 4348, 1012, 2122, 7870, 2079, 2025, 2074, 7461, 2111, 1997, 6683, 7520, 16103, 3644, 4348, 2021, 2024, 2062, 2691, 1999, 2023, 2177, 1997, 2111, 1012, 2060, 5762, 1998, 5636, 2967, 2031, 7403, 7870, 2008, 2024, 2062, 2691, 1999, 2037, 2967, 1012, 2019, 19128, 21600, 3231, 4136, 3008, 2065, 2027, 2031, 2019, 3445, 3382, 1997, 2383, 1037, 2775, 2007, 3056, 7403, 7870, 1012, 3087, 2040, 2003, 4699, 1999, 4209, 2010, 2030, 2014, 6839, 3570, 2064, 3198, 2005, 1996, 3231, 1010, 2021, 1037, 3460, 2442, 2344, 1996, 3231, 1012, 2367, 13625, 2089, 2031, 2367, 5852, 1999, 1996, 5997, 1012, 2831, 2000, 2115, 3460, 2055, 2029, 7870, 2024, 2590, 2005, 2115, 2155, 1012, 7403, 9517, 2989, 2064, 2393, 2017, 3305, 1996, 3231, 1998, 2825, 3463, 2061, 2017, 2064, 2191, 1996, 2190, 3247, 2005, 2017, 1012, 2054, 2003, 6839, 11326, 1029, 1037, 6839, 2003, 1037, 2711, 2040, 2064, 3413, 1037, 7403, 4295, 2006, 2000, 2010, 2030, 2014, 2336, 2021, 2515, 2025, 2031, 1996, 4295, 1012, 6839, 8720, 2003, 1037, 2828, 1997, 7403, 3231, 2008, 2064, 2393, 2265, 3251, 2111, 1997, 2152, 1011, 3891, 2967, 1006, 3056, 5636, 2967, 2030, 1037, 2155, 2381, 1997, 1037, 4295, 1007, 2005, 1037, 3563, 4295, 2024, 3497, 2000, 3413, 2008, 4295, 2000, 2037, 2336, 1012, 2023, 2828, 1997, 3231, 2064, 5009, 1037, 3232, 1005, 1055, 3247, 2055, 2383, 2336, 1998, 2437, 9804, 2055, 16474, 5852, 2076, 1037, 10032, 1012, 2019, 6683, 7520, 16103, 3644, 7403, 5997, 1006, 19128, 21600, 1007, 1010, 2589, 2006, 1037, 2668, 7099, 1010, 2064, 2156, 3251, 2017, 2030, 2115, 4256, 2003, 1037, 6839, 1997, 4962, 3431, 2008, 3426, 3056, 7403, 7870, 1012, 2065, 3893, 1010, 1996, 3231, 2064, 2393, 2265, 3251, 2017, 1998, 2115, 4256, 2031, 2019, 3445, 3382, 1997, 2383, 1037, 2775, 2141, 2007, 2028, 1997, 2122, 7870, 1012, 2040, 2323, 2022, 7718, 1029, 7403, 5852, 2064, 2022, 2589, 2005, 3087, 2040, 4122, 2000, 2113, 3251, 2002, 2030, 2016, 2003, 1037, 6839, 1997, 3056, 7870, 1012, 1996, 6683, 7520, 16103, 3644, 7403, 5997, 1006, 19128, 21600, 1007, 3065, 1996, 3382, 1997, 2383, 1037, 2775, 2007, 1037, 4295, 2008, 2003, 2062, 2691, 2426, 2111, 1997, 2789, 2647, 3644, 4348, 1012, 3087, 2040, 2003, 4699, 1999, 4209, 2010, 2030, 2014, 6839, 3570, 2064, 3198, 2005, 1996, 3231, 1010, 2021, 1037, 3460, 2442, 2344, 2009, 1012, 7403, 3231, 3463, 2411, 5333, 12962, 1010, 3412, 1010, 2030, 3423, 5936, 1012, 2017, 2323, 2031, 7403, 9517, 2989, 2077, 2437, 1037, 3247, 2055, 5604, 1012, 7403, 9517, 10626, 2015, 2024, 4738, 2000, 4863, 1996, 3231, 1998, 2049, 2825, 3463, 4415, 1012, 1037, 7403, 9517, 10626, 2064, 2393, 2017, 2191, 2092, 1011, 6727, 6567, 1012, 2019, 19128, 21600, 2089, 2022, 6749, 2005, 2111, 1997, 2789, 2647, 3644, 4348, 1010, 2164, 1024, 1011, 5826, 1997, 2111, 2007, 7870, 2006, 1996, 3231, 5997, 1012, 1011, 6062, 4041, 2000, 2031, 2336, 1012, 1011, 6875, 2308, 1006, 1998, 2037, 5826, 1007, 2040, 6148, 3653, 19833, 2389, 2729, 1010, 3251, 2027, 2031, 1037, 2381, 1997, 7403, 7870, 2030, 2025, 1012, 1011, 6001, 2007, 1037, 3893, 2155, 2381, 1997, 1037, 4295, 2008, 2003, 2006, 1996, 3231, 5997, 1012, 2065, 2069, 2028, 2266, 1997, 1037, 3232, 2038, 6683, 7520, 16103, 3644, 4348, 1010, 5604, 2097, 2022, 3253, 2005, 28117, 1011, 22818, 4295, 2069, 1012, 2065, 3231, 3463, 2265, 2008, 1996, 2711, 2003, 1037, 6839, 1997, 28117, 1011, 22818, 4295, 1010, 2059, 2010, 2030, 2014, 4256, 2036, 2089, 2022, 7718, 1012, 2054, 2065, 1045, 2572, 1037, 6839, 1029, 2009, 2003, 2062, 2691, 2000, 2022, 1037, 6839, 1997, 1037, 7403, 4295, 1010, 2107, 2004, 22330, 10074, 10882, 12618, 6190, 1006, 12935, 1007, 1010, 2084, 2000, 2031, 1996, 4295, 1012, 2065, 5852, 2265, 2008, 2017, 2024, 1037, 6839, 1997, 1037, 4295, 1010, 2115, 4256, 2036, 2323, 2022, 7718, 1012, 2119, 3008, 2442, 2022, 11363, 1997, 1037, 4295, 2005, 1037, 2775, 2000, 2031, 1996, 4295, 1012, 1996, 5852, 2024, 2025, 2531, 1003, 8321, 1010, 2061, 1037, 2711, 2089, 3231, 4997, 1998, 2664, 2022, 1037, 6839, 1012, 2065, 2017, 2024, 1037, 6839, 1998, 2115, 4256, 5852, 4997, 1010, 2045, 2003, 2145, 1037, 2200, 2235, 3382, 2008, 2017, 2097, 2031, 1037, 2775, 2007, 1996, 4295, 1012, 1015, 2065, 2017, 1998, 2115, 4256, 2024, 2119, 11363, 1997, 1037, 7403, 4295, 1010, 2045, 2003, 1037, 1015, 1011, 1999, 1011, 1018, 1006, 2423, 1003, 1007, 3382, 2008, 2115, 2775, 2097, 2031, 1996, 4295, 1012, 1011, 2065, 2017, 2024, 2025, 2525, 6875, 1010, 2017, 2089, 4299, 2000, 2031, 7403, 9517, 2989, 2000, 3305, 2115, 10831, 1998, 7047, 2065, 2017, 5630, 2000, 2031, 2336, 1012, 1011, 2065, 2017, 2024, 2525, 6875, 1010, 2017, 2089, 4299, 2000, 2031, 5852, 1010, 2107, 2004, 2572, 27678, 13013, 19009, 2030, 16480, 14772, 2594, 6819, 20159, 16227, 1010, 2000, 2393, 2424, 2041, 3251, 2115, 3336, 2038, 1037, 4295, 1012, 2003, 1996, 3231, 8321, 1029, 2055, 3938, 1003, 1997, 1996, 2051, 1010, 1996, 3231, 14125, 3065, 3251, 2030, 2025, 1037, 2711, 2003, 1037, 6839, 1997, 2019, 6683, 7520, 16103, 3644, 7403, 4295, 1012, 2061, 2045, 2003, 1037, 2235, 3382, 2008, 2017, 2089, 2022, 1037, 6839, 1997, 2028, 1997, 2122, 7870, 2130, 2065, 1996, 3231, 3463, 2024, 4997, 1012, 1015, 2323, 1045, 2022, 7718, 1029, 1996, 3247, 2000, 2022, 7718, 2003, 1037, 3167, 2028, 1012, 2017, 2089, 4299, 2000, 2022, 7718, 2065, 2017, 2024, 4986, 2008, 2017, 2030, 2115, 4256, 2453, 2022, 1037, 6839, 1997, 1037, 4295, 2008, 2003, 2006, 1996, 3231, 5997, 1012, 2108, 1037, 6839, 2003, 2062, 3497, 2065, 2017, 2031, 1037, 2155, 2266, 2007, 1996, 4295, 1012, 2070, 2111, 5630, 2000, 2022, 7718, 2000, 2113, 2037, 9592, 2005, 2383, 1037, 2775, 2007, 1037, 4295, 2030, 2005, 4458, 2019, 19470, 4962, 2000, 2037, 2775, 1012, 6839, 5852, 2024, 6450, 1012, 2178, 5387, 2008, 2089, 5009, 1996, 3247, 2000, 2031, 1996, 5852, 2003, 3251, 1996, 3465, 1997, 1996, 5852, 2003, 3139, 2011, 2115, 2740, 2933, 1012, 2017, 2089, 5630, 2000, 2031, 6839, 5852, 2065, 2017, 2024, 2525, 6875, 1998, 1996, 3231, 3463, 2097, 7461, 2115, 3247, 2000, 3613, 2115, 10032, 2030, 2393, 2017, 2191, 6567, 2055, 11922, 2005, 2115, 3336, 1012, 2065, 2017, 2424, 2041, 2017, 2024, 1037, 6839, 1997, 2028, 1997, 2122, 7403, 10840, 1010, 2060, 2372, 1997, 2115, 2155, 1006, 2107, 2004, 2115, 3428, 1998, 5208, 1007, 2089, 2215, 2000, 2131, 7718, 1010, 2205, 1012, 2339, 2025, 2022, 7718, 1029, 2045, 2089, 2022, 4436, 2017, 2052, 5454, 2025, 2000, 2031, 1996, 6839, 5852, 1012, 1011, 2017, 2024, 2525, 6875, 1998, 1996, 3463, 2097, 2025, 7461, 2115, 3247, 2000, 3613, 2115, 10032, 1012, 1011, 6839, 5852, 2024, 6450, 1012, 2017, 2089, 5630, 2025, 2000, 2031, 1996, 5852, 2065, 2115, 4992, 2740, 2933, 2030, 2797, 2740, 5427, 2515, 2025, 3477, 2005, 2009, 1012, 1011, 1996, 5852, 2024, 2025, 2531, 1003, 8321, 1012, 2045, 2003, 1037, 2235, 3382, 2008, 2017, 2024, 1037, 6839, 2130, 2065, 1996, 3463, 2024, 3671, 1006, 6270, 1011, 4997, 1007, 1012, 2060, 3182, 2000, 2131, 2393, 1064, 3010, 2523, 2005, 28117, 1011, 22818, 1998, 6035, 7870, 1064, 1064, 3010, 3029, 2005, 4678, 10840, 1064, 1011, 2837, 2006, 14471, 1010, 2137, 2267, 1997, 27885, 13473, 12412, 7066, 1998, 1043, 9654, 25778, 22522, 2015, 1006, 2268, 1007, 1012, 3653, 8663, 24422, 1998, 3653, 19833, 2389, 6839, 11326, 2005, 7403, 7870, 1999, 3633, 1997, 2789, 2647, 3644, 6934, 1012, 27885, 13473, 29392, 1998, 1043, 9654, 19824, 1010, 12457, 1006, 1018, 1007, 1024, 20317, 1516, 5345, 2509, 1012, 2060, 2573, 17535, 1011, 2137, 2267, 1997, 27885, 13473, 12412, 7066, 1998, 1043, 9654, 25778, 22522, 2015, 2837, 2006, 14471, 1006, 2249, 1007, 1012, 10651, 2006, 6839, 11326, 2005, 22330, 10074, 10882, 12618, 6190, 1012, 9353, 8649, 2837, 5448, 2053, 1012, 4466, 2575, 1012, 27885, 13473, 29392, 1998, 1043, 9654, 19824, 1010, 12567, 1006, 1018, 1007, 1024, 9402, 2575, 1516, 9800, 2487, 1012, 1011, 2837, 2006, 14471, 1010, 2137, 2267, 1997, 27885, 13473, 12412, 7066, 1998, 1043, 9654, 25778, 22522, 2015, 1006, 2384, 1010, 2128, 10354, 23141, 2230, 1007, 1012, 11326, 2005, 28117, 1011, 22818, 4295, 1012, 27885, 13473, 29392, 1998, 1043, 9654, 19824, 1010, 10114, 1006, 1018, 1007, 1024, 6486, 2509, 1516, 6486, 2549, 1012, 1011, 13652, 1042, 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, 13867, 1011, 2011, 3058, 8911, 7059, 1052, 1012, 4027, 1010, 12629, 2000, 2449, 2005, 9525, 4785, 1998, 2943, 3343, 1006, 12170, 3401, 2361, 1007, 1010, 2004, 4810, 2692, 2509, 1013, 2260, 1013, 2268, 1064, 2004, 4810, 2005, 6959, 1012, 1064, 4067, 2017, 2005, 15085, 2033, 2000, 2022, 2182, 1012, 1045, 1521, 1049, 7537, 2000, 2022, 2007, 2017, 1998, 2000, 6160, 2017, 2035, 2182, 2023, 2851, 1012, 1045, 2215, 2000, 26478, 8609, 9869, 2017, 1998, 4067, 2017, 2005, 2746, 2362, 2000, 2433, 2023, 2177, 1012, 4105, 2013, 1996, 2449, 2451, 2003, 6827, 2000, 2256, 3112, 1999, 8650, 2529, 2740, 1998, 1996, 4044, 1010, 1998, 1045, 2572, 2200, 3407, 2000, 4175, 2017, 2004, 5826, 1999, 2023, 2147, 1012, 2116, 1997, 2017, 2031, 2042, 5117, 2007, 1996, 19044, 2005, 2086, 2083, 3454, 2066, 1996, 2665, 2373, 5386, 1010, 2030, 2042, 3858, 2005, 2115, 3068, 4105, 1999, 13918, 2943, 8192, 1012, 5026, 2362, 2023, 6056, 1998, 18435, 2115, 4117, 5755, 2000, 2023, 14388, 3947, 2003, 1996, 10232, 2279, 3357, 1012, 2057, 2024, 3116, 2651, 2012, 2019, 2590, 2617, 1999, 2256, 2381, 1012, 2004, 1037, 3842, 1010, 2057, 2227, 1996, 2087, 3809, 3171, 2091, 22299, 2144, 1996, 2307, 6245, 1012, 2296, 2137, 2003, 11480, 2055, 2054, 2008, 2965, 1516, 2025, 2074, 2005, 2037, 2925, 2021, 2005, 1996, 2279, 4245, 2004, 2092, 1012, 1996, 2343, 1998, 2010, 3095, 2024, 2551, 2461, 1996, 5119, 2000, 8945, 29576, 14316, 7023, 1010, 2000, 2562, 2111, 1999, 2037, 5014, 1998, 2000, 2131, 4923, 8577, 2046, 1996, 3006, 2153, 1012, 2012, 1996, 2168, 2051, 1010, 2045, 3475, 1521, 1056, 1037, 2617, 2000, 4558, 1999, 26964, 1996, 5915, 5083, 1997, 4785, 2689, 1012, 2023, 2003, 2025, 2019, 3834, 6594, 4902, 1012, 2057, 2123, 1521, 1056, 2031, 1996, 9542, 1997, 1037, 2521, 1011, 2125, 2154, 1997, 29072, 2075, 1012, 2116, 1997, 1996, 2088, 1521, 1055, 2190, 6529, 2275, 1037, 17060, 2008, 8509, 3862, 1010, 2065, 2025, 23956, 1010, 3431, 2306, 2256, 6480, 2015, 2065, 2057, 2123, 1521, 1056, 2707, 2157, 2185, 1012, 3431, 1999, 22262, 7060, 2005, 5055, 1010, 4153, 5648, 9031, 1010, 17512, 21193, 1010, 2062, 1998, 2062, 3928, 17035, 2296, 2161, 1516, 2122, 2024, 8030, 1997, 1037, 4975, 4119, 1012, 2061, 2005, 1996, 2034, 2051, 1010, 2057, 2024, 28866, 2075, 1999, 17300, 2006, 2019, 9376, 3947, 2000, 4047, 2270, 2740, 1998, 1996, 4044, 1012, 1996, 2343, 2038, 5462, 2000, 3313, 2256, 4550, 2943, 2224, 1999, 1996, 2279, 2093, 2086, 1010, 1998, 2057, 2031, 2275, 2019, 12479, 3125, 1997, 6276, 2062, 2008, 3770, 1003, 1997, 17631, 16635, 3806, 11768, 2011, 1996, 2095, 16327, 2692, 1012, 2004, 1996, 19044, 8911, 1010, 2008, 2147, 2006, 1996, 4044, 2003, 1999, 2312, 5468, 2026, 5368, 1010, 1998, 1045, 13566, 2000, 3582, 2083, 1012, 2021, 1045, 2572, 2036, 1037, 2388, 1998, 1037, 7325, 1012, 1045, 2031, 2048, 4124, 2008, 2215, 2000, 4929, 18368, 2015, 1998, 2031, 7227, 3122, 6718, 1012, 1045, 2131, 4157, 2013, 29500, 1012, 1045, 2052, 2036, 2066, 2000, 4604, 2026, 4124, 2000, 2267, 13834, 1010, 2061, 1996, 2146, 1011, 2744, 9211, 1997, 2256, 4610, 2003, 1037, 2350, 5142, 1012, 1045, 3305, 2054, 2009, 2003, 2066, 2005, 2111, 2008, 2024, 8084, 2000, 3113, 1996, 2116, 3361, 3791, 1997, 2383, 1037, 2155, 1010, 2926, 2651, 1012, 1996, 2197, 2518, 1045, 2215, 2000, 2079, 2003, 3298, 2039, 7597, 2006, 10390, 1010, 2030, 2191, 2019, 2525, 3697, 3663, 4788, 2005, 5661, 1998, 9387, 1012, 1999, 2460, 1010, 2023, 2003, 1037, 2617, 1997, 2307, 7860, 2005, 2035, 1997, 2149, 1012, 2021, 2045, 2003, 7564, 1997, 10911, 2008, 2057, 2064, 2191, 2013, 2008, 4748, 14028, 3012, 1012, 2028, 1997, 1996, 2087, 2590, 9849, 2057, 1005, 2310, 2464, 2003, 25405, 1999, 2023, 3116, 1012, 2025, 2200, 2146, 3283, 1010, 1996, 2245, 1997, 1037, 3928, 3068, 2177, 3554, 2000, 12919, 4785, 1998, 2943, 3343, 2001, 1996, 2785, 1997, 2518, 2008, 4483, 5130, 2069, 13830, 2055, 1012, 2122, 2048, 4279, 2024, 4824, 2008, 2023, 2617, 1997, 4119, 2003, 2242, 2057, 2227, 2362, 1012, 2057, 3745, 1037, 4432, 1998, 1037, 5041, 2275, 1997, 3289, 1012, 2013, 2008, 4824, 2038, 2272, 1037, 2878, 2088, 1997, 6695, 1012, 2343, 8112, 2038, 2081, 2200, 3154, 2008, 2057, 2123, 1521, 1056, 2031, 2000, 5454, 2090, 1037, 2665, 4610, 1998, 1037, 2665, 4044, 1012, 2009, 2001, 2112, 1997, 2010, 3049, 1010, 1998, 2003, 2085, 2112, 1997, 2023, 3447, 1012, 1999, 2755, 1010, 2002, 2038, 2081, 1996, 2458, 1997, 2665, 6786, 1998, 2665, 5841, 1037, 3145, 6922, 1997, 2256, 3171, 7233, 1012, 2012, 7233, 1012, 18079, 1010, 1996, 4037, 2005, 1996, 2137, 7233, 1998, 27788, 6961, 21181, 2552, 1010, 1996, 16199, 2027, 2031, 2881, 2000, 5050, 1996, 2933, 2003, 4055, 2046, 1037, 2417, 4664, 1010, 1037, 2630, 4664, 1010, 1998, 1037, 2665, 4664, 1516, 5052, 25501, 1997, 6363, 11241, 1999, 3652, 1996, 2665, 4610, 1012, 2247, 2007, 3048, 3458, 1996, 6270, 3601, 2090, 2383, 1037, 2665, 4610, 2030, 2383, 1037, 2665, 4044, 1010, 2057, 2031, 13763, 2682, 2116, 1997, 1996, 2627, 20487, 2008, 2411, 9784, 2091, 4483, 3860, 1012, 2651, 1999, 1996, 3519, 1998, 2802, 1996, 3842, 1010, 2045, 2003, 14388, 1010, 12170, 26053, 2490, 2005, 2665, 5841, 1010, 6047, 3930, 1010, 4550, 2943, 1010, 1998, 1996, 2146, 2862, 1997, 4784, 1998, 15463, 2008, 2097, 4982, 1996, 4610, 1998, 5335, 2256, 4774, 1012, 2157, 2085, 1010, 2057, 2031, 3618, 6695, 2000, 4047, 2270, 2740, 1998, 1996, 4044, 2084, 2151, 2060, 2051, 1999, 1996, 2381, 1997, 1996, 19044, 1012, 2043, 1045, 1521, 2310, 5287, 2000, 12060, 1010, 3068, 4177, 1010, 2451, 2372, 1010, 2030, 2060, 22859, 1010, 1045, 1521, 2310, 2699, 2000, 4604, 1037, 2200, 3154, 1010, 8335, 4471, 1012, 2009, 1521, 1055, 1996, 4471, 2008, 1045, 1521, 1049, 2182, 2000, 2507, 2017, 1010, 1998, 2008, 1045, 3246, 2017, 2097, 3693, 2007, 2033, 1999, 4755, 2009, 1012, 2008, 4471, 2003, 2008, 1996, 19044, 2003, 2067, 2006, 1996, 3105, 1012, 2008, 2965, 1037, 2261, 2367, 2477, 1012, 2057, 2031, 2172, 2000, 2079, 1999, 16487, 1996, 2406, 1521, 1055, 4752, 1999, 2256, 3754, 2000, 4047, 1996, 2250, 1010, 2300, 1010, 1998, 2455, 1516, 2085, 1998, 2005, 2925, 8213, 1012, 1998, 2057, 2031, 2172, 2000, 2079, 2000, 5676, 2008, 4279, 3495, 19209, 2011, 4483, 16627, 2031, 2025, 2069, 1037, 2376, 1010, 2021, 1037, 2835, 2012, 1996, 3247, 1011, 2437, 2795, 1012, 2043, 2343, 8112, 2275, 2041, 2010, 4483, 11376, 1010, 2002, 2511, 2093, 6481, 2008, 2002, 4122, 2000, 5009, 2256, 2147, 1012, 1996, 2034, 2003, 2008, 2671, 2442, 2320, 2153, 2022, 1996, 12515, 5387, 1999, 19044, 3247, 2437, 1012, 2043, 2057, 2191, 1037, 3247, 2008, 2097, 7461, 1996, 2740, 1998, 7574, 1997, 1037, 2451, 1010, 2057, 2442, 2031, 2019, 4895, 16535, 4892, 8426, 2000, 1996, 2200, 2190, 4045, 6040, 1012, 1999, 2074, 1996, 2197, 3204, 1010, 2057, 2031, 5625, 6194, 2000, 2128, 1011, 11628, 3025, 6567, 2081, 2012, 1996, 4034, 1516, 4321, 2138, 1997, 3980, 2992, 2055, 3251, 2027, 8546, 2011, 2671, 1010, 2030, 2576, 5426, 1012, 2008, 29454, 10421, 2015, 1996, 12353, 1997, 2256, 2147, 1010, 1998, 13275, 3809, 3980, 1997, 21553, 2005, 1996, 2111, 2008, 2057, 3710, 1012, 2009, 5942, 2008, 2057, 2224, 2256, 2051, 1998, 4219, 2559, 2067, 2043, 2057, 7078, 2342, 2000, 2022, 3048, 3805, 1012, 1996, 2117, 14669, 6958, 2003, 29235, 2000, 1996, 3627, 1997, 2375, 1012, 1045, 2001, 10741, 2000, 27329, 1996, 2375, 2004, 2009, 2001, 2979, 1012, 2023, 2003, 2178, 2391, 2073, 2057, 2180, 1521, 1056, 3499, 4331, 2030, 2060, 5426, 2000, 15115, 2007, 2147, 2008, 2442, 2022, 2589, 2000, 4047, 2740, 1998, 1996, 4044, 1012, 1045, 12533, 2009, 2000, 1996, 2343, 1010, 1996, 3519, 1998, 1516, 2087, 14780, 1516, 1996, 2137, 2111, 1010, 2000, 27329, 1996, 2375, 1999, 2026, 2147, 10126, 1012, 2353, 1010, 2057, 2442, 5452, 2007, 4895, 28689, 6216, 3709, 16987, 1012, 2005, 2205, 2146, 1996, 2111, 2031, 2018, 2768, 2006, 1996, 2648, 1997, 1996, 19044, 1010, 1998, 2116, 2060, 6736, 1010, 1998, 4999, 2040, 2057, 2020, 2551, 2005, 1012, 1045, 2215, 2000, 4604, 1037, 3154, 4742, 2000, 1996, 2111, 2008, 2057, 2147, 2005, 2068, 1012, 1045, 2215, 2068, 1998, 2017, 2000, 2113, 2040, 1045, 2572, 3116, 2007, 1010, 2054, 4506, 1045, 2572, 2635, 1010, 1998, 2339, 1045, 2572, 2635, 2068, 1012, 1045, 2215, 2008, 3115, 1997, 16987, 2025, 2069, 2138, 2009, 2003, 3517, 1997, 19044, 2004, 1037, 2270, 4034, 1010, 2021, 2138, 2009, 7126, 2265, 1996, 2779, 6926, 2008, 1996, 3314, 1997, 4483, 3860, 2024, 2037, 3314, 1012, 2008, 2057, 2123, 1521, 1056, 5452, 1999, 12477, 2030, 20259, 1010, 1998, 2008, 2057, 2342, 2037, 2393, 1999, 2023, 2832, 2004, 2092, 1012, 1996, 2307, 2739, 2003, 2008, 2057, 2031, 7564, 1997, 2490, 1012, 1996, 2343, 2038, 2404, 2019, 9313, 3815, 1997, 3404, 1999, 2149, 2000, 5083, 19044, 1521, 1055, 3260, 1012, 1999, 1996, 5166, 2002, 2741, 2000, 3519, 2197, 3204, 1010, 2343, 8112, 2435, 1996, 19044, 1996, 3284, 2504, 1997, 4804, 2008, 2057, 2031, 2464, 1999, 2256, 4464, 2095, 2381, 1012, 2008, 2036, 2965, 2008, 2057, 2031, 1996, 3284, 2504, 1997, 17626, 2008, 2057, 2031, 2464, 1999, 2256, 4464, 2095, 2381, 1012, 2061, 2057, 2024, 2525, 2893, 2318, 1012, 1999, 1037, 2210, 2062, 2084, 2382, 2420, 1010, 2057, 1521, 2310, 2525, 2623, 3488, 2000, 3319, 1996, 2662, 23701, 6299, 2006, 8285, 11768, 1998, 2191, 1037, 2146, 1011, 2058, 20041, 9128, 2006, 2203, 25121, 3672, 2013, 16635, 15865, 1012, 2057, 1005, 2128, 7995, 4219, 2006, 8822, 11704, 2250, 10796, 2105, 3056, 2816, 1010, 2000, 5676, 2008, 2256, 3842, 1005, 1055, 2336, 2024, 2025, 6086, 2000, 17631, 29090, 2015, 1999, 1996, 2173, 2073, 2027, 2175, 2000, 4553, 1012, 3041, 2023, 2733, 2057, 3818, 1996, 2200, 2034, 2120, 7316, 5918, 2006, 16635, 3806, 11768, 1012, 1998, 2057, 2106, 2008, 1999, 1037, 2126, 2008, 21312, 2008, 2057, 2024, 2893, 1996, 2190, 2825, 2592, 2302, 5128, 6151, 5657, 10859, 2006, 2235, 5661, 1012, 2216, 7316, 5918, 2097, 6611, 2000, 3316, 2066, 2216, 2008, 4425, 10725, 20145, 2030, 3919, 12141, 1010, 8712, 1997, 5013, 4683, 1998, 5209, 1010, 2004, 2092, 2004, 2312, 1010, 3622, 12495, 24168, 1997, 16635, 15865, 1012, 3087, 2007, 11768, 5020, 2000, 2030, 3618, 2084, 1037, 11207, 1997, 2423, 1010, 2199, 12046, 6197, 2566, 2095, 1516, 2055, 1996, 2168, 3815, 2008, 3310, 2013, 1018, 1010, 3156, 3765, 2006, 1996, 2346, 1012, 2008, 11207, 2097, 11819, 1996, 6565, 3484, 1997, 2235, 5661, 1998, 2145, 3499, 2149, 2000, 2650, 5594, 2000, 3938, 3867, 1997, 1996, 16635, 11768, 2108, 2550, 1012, 2122, 2024, 4187, 2335, 2005, 2256, 4044, 1998, 2256, 4610, 1012, 2256, 4207, 3433, 2000, 2122, 3314, 1999, 1996, 2279, 2261, 2086, 2003, 2183, 2000, 9375, 1996, 2147, 1997, 1037, 4245, 1012, 1998, 2004, 1045, 2056, 1010, 1037, 2350, 3357, 2038, 2042, 2081, 2007, 1996, 4824, 2008, 2057, 3745, 1037, 4432, 1012, 2057, 3745, 1037, 4432, 1997, 25501, 1997, 6363, 1999, 2047, 3171, 4023, 1010, 1998, 8817, 1997, 2047, 5841, 1516, 2580, 2012, 1996, 2168, 2051, 2008, 2057, 3013, 17631, 11768, 1998, 2489, 9731, 2013, 18642, 2006, 4600, 8554, 20807, 2943, 4216, 1012, 2057, 3745, 1037, 4432, 1997, 4550, 1010, 10036, 2943, 2008, 5829, 3688, 1010, 3216, 11123, 1998, 2562, 2449, 1999, 4367, 1012, 2019, 2943, 4425, 2008, 3475, 1521, 1056, 5079, 2000, 2512, 1011, 13918, 3977, 2030, 3097, 4425, 3210, 1010, 1998, 3475, 1521, 1056, 3395, 2000, 3976, 14523, 2008, 2064, 2644, 1996, 4610, 1999, 2049, 3162, 1012, 2057, 3745, 1037, 4432, 1997, 2047, 5841, 2012, 2035, 3318, 1998, 3325, 3798, 1010, 2013, 6845, 6950, 1998, 6957, 19640, 2015, 2000, 6032, 1998, 2326, 20202, 1012, 2057, 2156, 7065, 18400, 3550, 5841, 1999, 5814, 1998, 1037, 24910, 2137, 8285, 3068, 1012, 1998, 2057, 3745, 1037, 4432, 1997, 1037, 3842, 2073, 3171, 2458, 1998, 4483, 3860, 2175, 2192, 1999, 2192, 1012, 2073, 1996, 2449, 2451, 1998, 1996, 4483, 2451, 2064, 2693, 2830, 2362, 1516, 7694, 2119, 2270, 2740, 1998, 7574, 1516, 2738, 2084, 3173, 2169, 2060, 2067, 1012, 1037, 2843, 1997, 2008, 2003, 2086, 2091, 1996, 2346, 1012, 2021, 2009, 2003, 2746, 1012, 1999, 1996, 2279, 5476, 1010, 2057, 2097, 2156, 2350, 17241, 1998, 8818, 2000, 1996, 2126, 2057, 2079, 2449, 1012, 3316, 1999, 2296, 2112, 1997, 1996, 2088, 2024, 2183, 2000, 2022, 22380, 2943, 8122, 1998, 4483, 4254, 2046, 2037, 2147, 1516, 1998, 2025, 2004, 1037, 14785, 5142, 1010, 2021, 2004, 1037, 4563, 6922, 1997, 2037, 2449, 4275, 1012, 2017, 2024, 2035, 3805, 1997, 1996, 7774, 1012, 2017, 2024, 13280, 2689, 1010, 1998, 13946, 2296, 2154, 2008, 1996, 25262, 2614, 2518, 2000, 2079, 2003, 2036, 1996, 15318, 2614, 2518, 2000, 2079, 1012, 2057, 2024, 2182, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3050, 3349, 1011, 2116, 1997, 1996, 2190, 7436, 2015, 5312, 4995, 1005, 1056, 4110, 2006, 1996, 28803, 1012, 2369, 1996, 11002, 2012, 1996, 2079, 14510, 3004, 1010, 5365, 1005, 1055, 10418, 10424, 7585, 2094, 2077, 2635, 1996, 2754, 1010, 4654, 2389, 3064, 1999, 10911, 1998, 2130, 8328, 2070, 4000, 1012, 3915, 2651, 1005, 1055, 8527, 3656, 6661, 1996, 4895, 22483, 2098, 2895, 9741, 1999, 1996, 4777, 1012, 1528, 7436, 4791, 2132, 20212, 1024, 2190, 1011, 3883, 3453, 7673, 5623, 8480, 20212, 12953, 2044, 4440, 4691, 2039, 1996, 5108, 2006, 2014, 2126, 2000, 1996, 14502, 1010, 2021, 2987, 1005, 1056, 2360, 2505, 2055, 2014, 3335, 2618, 2361, 1012, 2190, 1011, 3364, 3453, 3817, 2154, 1011, 4572, 3216, 2157, 2046, 21442, 8516, 2358, 9910, 2361, 1010, 3183, 2002, 14964, 1999, 2010, 9920, 4613, 1010, 1998, 1996, 2048, 3338, 2046, 26034, 4877, 1997, 7239, 1012, 1000, 1045, 1005, 1049, 2061, 3407, 2005, 2017, 1010, 1000, 2016, 4136, 2154, 1011, 4572, 1010, 1996, 2034, 3364, 2000, 2663, 2093, 2190, 1011, 3364, 22236, 1012, 2027, 3013, 2037, 7401, 2460, 2000, 3422, 2190, 3861, 1012, 14197, 2010, 7436, 1999, 2010, 2157, 2192, 1010, 2154, 1011, 4572, 11232, 8601, 2043, 1996, 2400, 3632, 2000, 12098, 3995, 1006, 2004, 4941, 2000, 5367, 1007, 1010, 2007, 1037, 2512, 9006, 22930, 9080, 2298, 2006, 2010, 2227, 1012, 1996, 3459, 1997, 12098, 3995, 19239, 20212, 1010, 2472, 3841, 21358, 21031, 3600, 13003, 2083, 2007, 2577, 18856, 7828, 3240, 2206, 3859, 2369, 1012, 3173, 2006, 2000, 5070, 15745, 2378, 1010, 18856, 7828, 3240, 17472, 1010, 1000, 2298, 2054, 1045, 3856, 2039, 1010, 1037, 8003, 1006, 3364, 1007, 1012, 1000, 2059, 1996, 2177, 26981, 2185, 1012, 1528, 2009, 1005, 2222, 2175, 2007, 2216, 8922, 2015, 1024, 2004, 17623, 7365, 2125, 2044, 10564, 2190, 2299, 2005, 3712, 13976, 1010, 2016, 8267, 1037, 20212, 2461, 1997, 20737, 2419, 2011, 1996, 3459, 1997, 3190, 1010, 2029, 3591, 1996, 2400, 1012, 2044, 2016, 4152, 1037, 8549, 2013, 2957, 16216, 2890, 1010, 6615, 23870, 1011, 3557, 3138, 2014, 2192, 1998, 2758, 1010, 1000, 2017, 1005, 2310, 2579, 2058, 1996, 2088, 1012, 1000, 2000, 2029, 17623, 2064, 2069, 2360, 1010, 1000, 1045, 2113, 1012, 1000, 2016, 12671, 1999, 2000, 3610, 17400, 27838, 3363, 8545, 4590, 2006, 1996, 5048, 1998, 2758, 1010, 1000, 4283, 2061, 2172, 2005, 3228, 2033, 2023, 1010, 2821, 1010, 2026, 2643, 1012, 1000, 2016, 7365, 2185, 1010, 15192, 1010, 1000, 2821, 1010, 2026, 2643, 1010, 2821, 1010, 2026, 2643, 1010, 1000, 2059, 9909, 1010, 1000, 2023, 2003, 2061, 3082, 1010, 1000, 28789, 1996, 6231, 1005, 1055, 2002, 6199, 1012, 1528, 11281, 3329, 6198, 1024, 3817, 22603, 1005, 1055, 5470, 9243, 2102, 3329, 6198, 2453, 2022, 2129, 2002, 26777, 9085, 2006, 13132, 2732, 1005, 1055, 22435, 5954, 1005, 1055, 2146, 11739, 1010, 2029, 9612, 2369, 2014, 2004, 2027, 6164, 1996, 2754, 2362, 1012, 22603, 6719, 11112, 1011, 11278, 2185, 2013, 2014, 3345, 2004, 2027, 3328, 2125, 1012, 14401, 2075, 2046, 1996, 4777, 1010, 5954, 13273, 13675, 4904, 8376, 1998, 18280, 2015, 20212, 1012, 1528, 10209, 2125, 2014, 8265, 1024, 17623, 19948, 2015, 1996, 6625, 14201, 2016, 5078, 2012, 24760, 2005, 1018, 1011, 4960, 12125, 2135, 3616, 1010, 3788, 2200, 19325, 20212, 1012, 2016, 3138, 1037, 2835, 1999, 1037, 2472, 1005, 1055, 3242, 1998, 2038, 1037, 19645, 2004, 2016, 26751, 2015, 2014, 2735, 2000, 2175, 23542, 1010, 2559, 1037, 2210, 6091, 1012, 2043, 4776, 6045, 14238, 4710, 26596, 9704, 2014, 3129, 2076, 2014, 4637, 1011, 3883, 9920, 4613, 1010, 17623, 4599, 2014, 2227, 2007, 2014, 2192, 1012, 3116, 2928, 22894, 22927, 2005, 1996, 2034, 2051, 1010, 2016, 17021, 2015, 2032, 2007, 1000, 7632, 1010, 2928, 1010, 1045, 1005, 1049, 17623, 1010, 8403, 2000, 3113, 2017, 1010, 1000, 1998, 2002, 3957, 1037, 1000, 2204, 6735, 999, 1000, 3788, 12446, 26702, 2044, 2014, 2836, 1997, 3712, 13976, 1010, 17623, 7200, 2015, 1037, 6682, 1997, 4335, 1998, 5176, 2014, 16742, 1010, 1000, 2064, 1045, 2202, 2026, 8265, 2125, 1029, 1000, 2274, 4084, 2101, 1010, 2016, 14590, 2068, 2125, 1010, 11717, 1037, 4400, 1997, 7239, 20212, 1010, 1998, 7906, 3788, 1012, 1528, 1037, 4302, 10693, 10301, 1024, 1999, 1996, 6797, 20212, 1010, 10269, 14753, 3511, 5708, 11834, 2015, 2007, 3817, 22603, 1998, 8537, 2032, 9119, 1010, 2004, 2016, 1005, 1055, 2006, 1037, 3260, 2000, 2424, 1037, 5835, 1997, 2300, 1012, 2043, 2409, 2000, 6865, 4389, 1010, 2016, 2758, 1010, 1000, 1045, 1005, 1049, 2066, 1037, 2775, 1010, 1045, 1005, 1049, 2025, 2183, 2000, 2175, 5973, 1012, 1000, 2016, 2559, 2012, 2014, 18059, 1010, 2029, 2038, 1037, 3104, 2007, 16291, 5551, 18398, 2013, 2009, 1012, 1000, 2009, 7126, 2033, 2000, 2963, 2488, 1010, 1000, 2016, 7607, 1012, 2016, 17991, 4389, 2130, 2004, 1037, 2754, 3208, 5363, 2000, 2131, 2014, 2067, 2000, 2014, 2835, 1999, 2051, 2005, 1037, 4649, 28616, 2617, 1999, 1996, 2565, 1012, 2633, 1010, 2014, 2300, 8480, 1998, 2016, 4076, 2014, 8620, 2067, 2000, 1996, 11448, 1012, 1528, 1996, 16278, 1997, 6945, 1011, 2053, 6483, 1024, 2004, 1996, 6945, 4562, 24808, 2015, 2006, 18182, 1010, 6766, 3923, 14020, 2012, 1996, 20212, 8080, 1010, 2010, 5730, 19840, 1012, 1000, 2129, 2106, 2027, 2079, 2008, 1029, 1000, 2002, 23457, 2015, 2000, 2370, 1010, 2025, 15103, 2008, 1996, 2711, 2279, 2000, 2032, 2003, 17266, 3270, 5797, 9946, 1012, 1996, 2048, 3863, 14806, 2015, 1998, 3923, 26478, 8609, 18969, 2032, 2006, 1996, 2836, 1012, 1000, 2821, 1010, 2092, 1010, 2017, 2113, 1010, 1045, 1005, 2310, 2467, 2359, 2000, 4685, 2012, 1996, 7436, 2015, 1010, 1000, 5797, 9946, 2758, 16644, 2135, 1012, 3923, 21917, 2370, 2000, 6723, 1037, 6805, 2000, 4521, 1999, 1996, 2665, 2282, 1012, 1000, 2292, 2033, 2113, 2065, 2017, 2156, 2026, 2564, 1999, 2045, 1010, 1000, 2758, 5797, 9946, 1012, 1528, 2027, 1005, 2128, 6069, 2293, 2014, 1024, 7673, 6842, 2038, 2195, 2047, 2502, 4599, 1012, 2004, 2016, 10438, 1998, 1045, 2572, 4129, 2017, 1045, 1005, 1049, 2025, 2183, 1006, 2013, 3959, 15239, 2015, 1007, 1010, 2198, 19817, 11431, 27914, 2050, 12197, 1996, 8080, 2279, 2000, 6621, 2990, 2386, 2007, 15180, 1012, 19817, 11431, 27914, 2050, 16371, 11818, 2015, 2990, 2386, 1998, 13275, 2010, 2192, 1999, 1996, 2250, 2000, 3696, 8757, 2129, 2152, 6842, 2003, 2183, 2007, 1996, 3964, 1012, 2043, 2016, 7365, 12446, 26702, 2044, 1996, 2836, 1010, 2014, 2034, 8549, 2003, 2005, 19817, 11431, 27914, 2050, 1012, 1000, 2001, 1045, 2204, 1029, 1000, 2016, 5176, 1012, 1000, 2017, 2020, 2307, 1010, 1000, 2002, 4136, 2014, 1010, 3228, 2014, 16784, 2039, 1012, 2016, 3216, 2046, 11260, 2899, 1010, 2040, 17993, 2153, 1998, 2153, 1010, 1000, 2061, 2204, 1010, 2061, 2204, 1010, 2061, 2204, 1012, 1012, 1012, 1000, 6175, 4419, 2595, 1010, 3061, 2279, 2000, 2899, 1010, 2758, 1010, 1000, 2009, 2001, 9788, 1010, 9788, 1010, 4850, 2594, 1012, 1000, 2004, 6842, 7365, 2185, 1010, 2016, 2758, 1010, 1000, 2008, 1005, 1055, 2054, 1045, 2066, 2000, 2963, 1012, 1000, 5564, 1010, 1996, 4649, 13736, 2015, 3459, 1005, 1055, 6164, 2001, 2521, 19059, 1010, 2021, 2074, 2004, 14727, 1012, 2004, 2990, 2386, 7842, 16671, 2545, 12446, 26702, 1010, 2002, 24459, 5797, 9946, 2105, 1996, 3300, 1998, 4013, 25154, 2015, 1010, 1000, 2092, 2589, 1010, 2158, 999, 1000, 1528, 16928, 15559, 1024, 11280, 3321, 3240, 3065, 2039, 1999, 1996, 6443, 1005, 2436, 2007, 6441, 2013, 2014, 5416, 2836, 1024, 2014, 2116, 7635, 2024, 6276, 2046, 2014, 3093, 1012, 1000, 2298, 1010, 2009, 1005, 1055, 9524, 1010, 1000, 3321, 3240, 2758, 1012, 2016, 4830, 5910, 1996, 2668, 2039, 1010, 5176, 2005, 2273, 13122, 1998, 3632, 2067, 2000, 2014, 2835, 1012, 1528, 1005, 14936, 1010, 4487, 20939, 3366, 19661, 999, 1005, 1024, 2004, 1996, 14936, 3459, 2939, 12446, 26702, 2013, 10886, 1037, 3940, 1997, 2982, 1010, 2728, 2091, 3240, 3781, 1012, 7581, 1010, 1000, 14936, 1010, 4487, 20939, 3366, 19661, 999, 1000, 2027, 2018, 2053, 3601, 2138, 20212, 2001, 2061, 10789, 1012, 7441, 14916, 3678, 1998, 5212, 1048, 1012, 4027, 3030, 2000, 2831, 2000, 7673, 2019, 20483, 2078, 1998, 9212, 5582, 25913, 1010, 2040, 2020, 20258, 2362, 3752, 1996, 5896, 2005, 2037, 9046, 8312, 1012, 1000, 2017, 2730, 2009, 2041, 2045, 1010, 1000, 4027, 2409, 25913, 1010, 7727, 2000, 2010, 3041, 3153, 2193, 1012, 1528, 16408, 5613, 5826, 1024, 3868, 2125, 2754, 2076, 1037, 3338, 1999, 2037, 2193, 1010, 3817, 22603, 2003, 2061, 7568, 2008, 2002, 6719, 14523, 2046, 3312, 5146, 1011, 11902, 4779, 1005, 1055, 2608, 2077, 2027, 2175, 2067, 2041, 1012, 2044, 2027, 3926, 1010, 2019, 14925, 16677, 22603, 5176, 1010, 1000, 2129, 2106, 1045, 2079, 1011, 2488, 2030, 4788, 2008, 2051, 1029, 1000, 1000, 2017, 2106, 2307, 1010, 1000, 5146, 1011, 11902, 4779, 4136, 2032, 1012, 2027, 8549, 2004, 2027, 14437, 2041, 2046, 1996, 6797, 1010, 2021, 22603, 17749, 2000, 4067, 1996, 10487, 1010, 5513, 2398, 1998, 26085, 4065, 1012, 1000, 2092, 2589, 1010, 3071, 1010, 2057, 1005, 2128, 2035, 4142, 1010, 1000, 2002, 2758, 1012, 1528, 10627, 2035, 2105, 1024, 9212, 5582, 25913, 1010, 2040, 2097, 4685, 1999, 1996, 2265, 1010, 15876, 26801, 2627, 1010, 7302, 2000, 2010, 4895, 8569, 15474, 2098, 9127, 1998, 15876, 22516, 2015, 10025, 2000, 17828, 1012, 2002, 19391, 2274, 2781, 2101, 2007, 1037, 14085, 3775, 2135, 27039, 2317, 6812, 5495, 2004, 1037, 17828, 2711, 4455, 2044, 2032, 1010, 1000, 3338, 1037, 4190, 1010, 9212, 5582, 999, 1000, 1996, 2028, 3124, 5791, 2025, 6091, 1024, 2728, 2091, 3240, 3781, 1012, 1010, 2040, 19391, 2013, 1996, 2665, 2282, 1998, 7365, 3442, 2039, 2000, 1037, 20212, 2865, 8088, 1998, 22382, 2005, 2195, 7171, 2007, 1037, 2502, 2868, 1012, 2002, 2059, 8509, 2010, 7877, 2006, 1010, 7842, 16671, 2545, 2627, 13175, 1010, 1000, 4641, 2039, 1010, 2111, 1012, 1000, 2004, 2002, 5235, 1996, 6091, 6443, 1006, 7010, 23564, 7847, 1998, 6606, 21442, 2239, 1007, 1010, 2002, 6986, 2015, 2068, 2006, 1996, 2067, 1998, 22114, 1010, 1000, 2204, 3105, 1010, 4364, 1010, 2009, 1005, 1055, 2525, 2551, 1010, 1000, 1998, 4641, 2091, 1996, 6797, 2000, 2202, 2010, 2835, 1999, 1996, 11448, 1012, 1528, 2665, 2282, 2183, 2015, 1011, 2006, 1024, 1996, 3340, 3613, 2000, 26027, 1999, 2000, 1996, 2058, 12314, 2075, 2665, 2282, 2004, 1037, 3897, 11122, 3561, 2007, 2048, 3798, 1997, 7436, 11342, 5235, 2011, 1012, 2198, 19817, 11431, 27914, 2050, 1010, 2564, 5163, 8475, 1998, 2684, 11713, 1038, 2571, 2226, 4607, 1010, 1998, 5312, 2101, 1010, 5212, 1048, 1012, 4027, 1010, 13109, 3286, 11097, 4630, 1999, 1037, 2417, 10966, 4848, 6598, 1010, 19202, 2039, 1012, 1000, 2079, 2017, 2215, 1037, 2565, 1029, 1000, 5176, 1996, 22566, 2040, 1005, 1055, 9361, 1999, 12330, 2012, 1996, 2341, 1010, 12528, 6277, 1999, 2192, 1012, 1000, 2469, 1010, 1045, 1005, 2222, 2031, 1037, 2565, 1010, 2572, 1045, 1999, 2009, 1029, 1000, 2002, 5176, 1012, 6615, 23870, 1011, 3557, 7365, 2083, 2007, 9128, 1010, 2145, 4147, 2014, 2146, 2751, 4377, 2013, 1996, 10135, 1010, 2007, 3129, 2745, 5203, 2048, 4084, 2369, 2014, 1012, 1000, 2003, 2023, 1996, 2665, 2282, 1029, 1000, 2016, 5176, 1012, 1000, 2745, 1010, 2339, 2123, 1005, 1056, 2017, 3524, 1999, 2182, 2005, 2033, 2005, 1037, 2978, 1029, 1000, 1000, 7929, 1010, 22872, 1010, 1045, 1005, 2222, 2156, 2017, 2101, 1010, 1000, 2002, 14054, 1998, 2016, 4247, 3788, 2083, 2000, 7374, 2005, 2014, 3190, 2193, 1012, 1528, 1005, 2074, 13071, 1005, 1024, 2035, 1997, 1996, 14936, 2031, 9240, 1999, 1996, 2665, 2282, 2004, 7441, 14916, 3678, 8039, 2012, 1996, 2168, 2051, 2004, 2928, 21766, 20961, 4135, 1012, 1996, 2048, 8549, 2169, 2060, 1998, 14916, 3678, 2758, 1010, 1000, 2129, 2024, 2017, 1010, 2567, 1029, 1000, 2096, 21766, 20961, 4135, 1005, 1055, 2564, 1010, 13932, 1010, 23371, 1999, 1037, 4418, 2000, 2265, 2125, 2014, 4377, 2000, 2019, 19837, 2099, 1012, 3817, 22603, 15876, 22516, 2015, 2083, 4755, 1037, 3221, 1997, 2300, 1010, 2021, 2012, 2023, 2391, 1010, 2009, 1005, 1055, 2061, 10789, 2008, 6343, 3849, 2000, 5060, 2008, 2990, 16955, 1010, 4147, 2010, 17072, 1010, 1997, 2607, 1010, 2003, 5689, 2041, 2279, 2000, 1996, 6443, 1005, 2436, 1012, 2004, 2537, 10489, 3749, 5375, 1010, 2002, 16121, 2010, 11749, 2868, 1010, 1998, 2758, 1010, 1000, 1045, 1005, 1049, 2074, 13071, 1012, 1000, 2002, 10951, 2000, 26202, 2010, 2132, 1999, 1996, 2436, 1998, 14148, 2041, 1996, 2754, 1012, 5163, 10973, 2050, 22215, 2011, 2006, 2014, 2126, 2000, 1996, 2665, 2282, 1010, 11618, 2032, 1037, 2502, 2868, 1998, 2758, 1010, 1000, 7632, 1010, 2990, 1012, 1000, 1000, 7632, 999, 1000, 2002, 14054, 2007, 1037, 5861, 1012, 2004, 2574, 2004, 2016, 7365, 2185, 1010, 2002, 4332, 1998, 5176, 1010, 1000, 2040, 2001, 2008, 1029, 1000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4480, 22912, 1999, 2569, 2237, 2473, 5166, 3116, 3071, 4282, 1996, 3361, 22849, 1997, 23714, 2003, 21657, 1010, 1998, 2008, 2009, 1521, 1055, 2042, 21657, 2005, 2093, 2086, 2030, 2062, 1012, 2021, 2006, 9857, 2305, 2012, 1037, 2569, 2237, 2473, 3116, 1010, 4480, 4342, 2008, 1996, 2237, 2003, 6414, 2012, 1996, 2707, 1997, 1037, 2524, 2346, 3805, 1012, 1523, 2256, 2925, 2003, 2130, 21657, 2121, 1010, 1524, 2056, 3353, 2237, 3208, 14042, 2532, 2984, 4095, 13331, 1011, 10337, 1010, 2040, 2056, 1996, 2536, 7659, 1999, 1037, 2047, 5166, 7312, 2933, 19635, 2055, 2403, 3867, 1997, 1996, 5166, 1012, 1523, 2045, 2024, 2913, 2008, 2265, 9053, 2008, 3655, 1998, 4865, 2227, 3278, 7860, 1999, 1996, 2925, 1010, 1998, 2057, 1521, 2128, 2053, 6453, 1012, 1524, 2006, 1996, 2392, 6402, 2121, 1010, 2016, 2056, 1010, 2003, 2667, 2000, 2191, 2039, 1037, 1002, 1016, 1012, 1022, 2454, 5166, 2460, 13976, 1010, 2130, 4237, 2013, 1996, 1002, 4724, 2454, 17945, 7909, 2000, 1996, 23714, 6597, 2455, 7654, 1012, 2000, 2079, 2009, 1010, 1996, 2237, 3202, 2097, 1024, 1015, 1007, 17607, 1002, 1015, 2454, 1999, 3477, 20638, 2013, 2049, 2536, 5126, 1010, 2087, 1997, 3183, 2031, 2586, 8311, 2083, 2297, 1012, 1016, 1007, 13676, 2049, 10084, 10504, 2006, 1996, 2237, 4822, 1998, 1996, 2610, 2533, 3121, 1010, 7494, 1002, 2753, 1010, 2199, 1012, 1017, 1007, 17607, 1037, 1002, 1015, 2454, 7312, 2000, 2061, 1011, 2170, 1523, 14303, 8426, 1524, 4804, 2005, 6813, 1010, 3847, 1998, 6671, 1012, 1018, 1007, 5547, 1002, 1015, 2454, 1999, 28912, 3454, 1010, 2164, 1037, 13366, 2121, 7941, 2006, 2346, 2810, 1998, 6032, 1010, 2004, 2092, 2004, 1037, 7312, 1999, 4586, 8208, 5073, 1012, 1019, 1007, 3357, 2039, 2049, 7285, 1997, 1996, 25354, 1051, 9468, 6279, 11656, 4171, 1010, 2036, 3615, 2000, 2004, 1996, 2793, 4171, 1998, 1013, 2030, 3309, 4171, 1010, 1999, 25608, 2075, 1002, 3156, 1010, 2199, 2046, 1996, 4610, 1010, 1002, 19410, 1010, 2199, 1997, 2029, 2000, 2022, 5500, 2067, 2426, 23714, 6597, 6813, 1010, 23714, 6597, 3847, 1998, 1996, 2789, 7838, 6671, 3691, 1010, 2029, 3216, 1996, 7793, 1012, 1523, 1996, 5166, 7312, 2933, 7679, 2006, 1996, 1002, 1016, 1012, 1022, 2454, 2460, 13976, 1010, 1524, 2984, 4095, 13331, 1011, 10337, 2056, 1012, 1523, 2008, 2460, 13976, 2003, 1999, 1996, 2236, 4636, 1012, 2009, 16315, 2000, 2403, 3867, 1010, 2130, 2044, 1996, 2237, 2038, 2908, 2083, 2086, 1997, 7312, 1010, 1998, 2077, 1996, 7909, 2000, 19875, 2721, 2006, 1996, 1002, 4724, 2454, 8689, 2008, 2003, 5151, 1012, 1524, 2065, 2045, 2001, 1037, 5690, 1997, 2204, 2739, 1010, 2174, 1010, 2009, 2001, 2008, 1996, 2933, 2036, 2950, 1037, 15726, 4636, 1997, 2055, 1002, 3156, 1010, 2199, 2058, 1996, 2279, 2274, 2086, 1517, 1996, 2034, 2051, 1996, 2473, 1010, 2030, 10334, 2842, 1010, 2038, 2464, 2304, 10710, 2612, 1997, 2417, 1012, 2237, 3208, 4913, 19863, 13578, 10143, 2056, 1999, 3098, 12629, 2008, 1996, 5166, 7312, 2933, 2003, 2025, 2074, 2005, 2023, 2746, 10807, 2095, 1012, 1523, 2057, 2036, 2031, 2146, 1011, 2744, 3488, 2005, 9211, 2058, 2051, 1517, 1037, 2184, 1011, 2095, 6337, 2000, 4287, 2023, 2830, 1012, 1524, 2021, 1996, 2364, 3947, 2001, 2856, 2012, 1996, 2460, 1011, 2744, 5325, 1012, 1523, 2023, 2933, 2097, 5703, 2279, 2095, 1521, 1055, 5166, 1010, 1524, 2984, 4095, 13331, 1011, 10337, 2056, 1010, 1523, 1998, 3443, 15726, 5029, 2000, 13225, 13930, 2008, 2024, 2747, 12232, 1010, 2164, 1996, 19875, 2721, 8689, 1010, 1998, 2404, 1996, 2237, 2006, 1037, 9084, 22849, 2005, 2925, 3791, 1012, 1524, 1999, 2169, 1997, 1996, 9416, 2752, 1010, 2984, 4095, 13331, 1011, 10337, 3591, 1037, 6851, 12554, 1997, 1996, 2933, 2000, 1996, 4480, 1010, 1998, 2016, 6966, 2216, 2040, 2020, 2025, 1999, 1996, 7621, 1062, 2473, 8477, 2006, 9857, 2008, 2009, 1006, 1996, 2933, 1007, 2003, 2000, 2022, 3591, 1999, 2440, 2006, 1996, 2237, 1521, 1055, 4037, 1012, 2009, 2001, 2011, 2151, 5468, 1037, 17358, 2075, 8312, 1010, 1998, 3881, 7564, 1997, 4668, 2013, 1996, 4378, 1010, 2116, 1997, 3183, 5275, 2008, 1996, 2933, 2001, 2040, 18620, 3900, 15557, 1999, 1996, 2181, 1997, 6813, 1012, 2027, 5275, 2005, 2019, 3623, 1999, 6813, 5938, 2738, 2084, 1037, 7312, 1006, 2156, 3141, 2466, 1010, 1052, 1012, 1016, 1007, 23714, 3137, 8301, 2181, 1010, 2029, 19421, 1996, 7006, 1521, 1055, 3745, 1997, 6813, 1010, 2741, 2053, 2028, 2000, 1996, 14502, 2005, 12629, 2030, 15690, 1012, 2198, 6384, 1010, 1996, 2472, 1997, 3136, 2012, 4586, 3636, 7001, 2021, 2036, 5052, 1996, 23714, 6597, 26859, 2523, 1010, 3881, 2019, 23323, 2247, 1996, 3210, 1997, 9936, 1037, 2283, 1010, 2029, 10468, 2003, 2054, 23714, 1521, 1055, 4610, 2003, 2035, 2055, 1012, 1523, 2065, 2017, 1521, 2128, 2183, 2000, 2031, 1037, 2283, 1010, 2017, 2123, 1521, 1056, 2707, 2011, 2437, 1996, 2833, 2030, 4292, 1996, 2795, 1012, 2017, 2707, 2011, 15085, 2115, 6368, 1012, 1523, 6813, 2003, 2673, 2057, 2079, 1012, 23714, 6597, 6813, 1521, 1055, 8312, 4415, 3065, 2008, 5938, 2062, 2769, 2006, 6813, 1010, 2025, 6276, 6813, 1010, 2003, 2073, 2057, 2342, 2000, 2022, 1998, 1045, 2113, 2009, 1521, 1055, 1037, 2200, 3697, 3663, 2000, 2022, 1999, 2138, 2045, 2024, 1037, 2843, 1997, 2111, 2040, 6854, 2024, 2183, 2000, 4558, 2037, 5841, 2030, 2156, 2037, 7640, 3013, 1012, 1523, 2021, 2057, 2342, 2000, 2022, 2559, 2012, 2054, 2057, 2064, 2079, 2000, 3623, 2256, 12594, 2008, 2272, 2046, 1996, 2237, 1012, 1998, 1996, 12594, 2008, 2272, 2046, 2237, 2024, 2111, 1012, 2057, 2342, 2000, 2131, 2122, 2111, 2182, 1012, 1523, 1996, 26859, 2523, 2003, 2369, 23714, 6597, 6813, 1999, 2023, 3947, 1998, 3246, 2008, 1996, 2237, 1998, 2473, 2064, 2424, 1037, 2126, 2000, 3613, 2000, 4636, 2009, 2012, 1037, 6263, 1997, 1996, 2783, 2504, 1012, 2009, 1521, 1055, 1037, 12459, 9824, 2065, 2057, 3013, 2256, 6813, 1012, 1996, 2373, 1997, 6813, 1999, 2023, 2237, 3685, 2022, 15849, 16238, 1012, 1524, 5199, 2632, 7347, 1010, 2280, 3954, 1997, 1996, 2632, 7347, 14824, 2314, 8086, 4875, 5645, 7001, 1010, 2036, 12781, 1999, 2007, 3082, 2490, 2005, 6813, 1012, 1523, 1045, 8627, 1996, 2473, 2000, 2298, 2012, 1996, 1006, 6813, 1007, 3616, 2428, 2524, 1012, 2057, 2035, 2342, 2000, 2228, 2006, 1037, 3020, 2504, 1010, 1998, 2360, 4931, 1010, 2292, 1521, 1055, 2131, 2006, 2007, 2009, 1010, 4982, 9731, 1010, 3907, 2256, 17070, 1998, 2693, 2627, 2122, 7823, 2335, 1012, 1524, 2045, 2020, 2116, 15690, 2013, 1996, 4306, 1010, 2070, 2092, 2041, 1997, 1996, 3482, 1012, 6031, 5292, 14069, 2007, 2010, 2564, 7920, 1010, 4069, 2117, 1011, 2188, 12384, 2545, 1998, 2280, 2440, 7292, 3901, 1010, 4081, 1996, 2237, 11027, 2035, 2237, 10489, 2006, 1037, 2148, 2697, 11937, 14490, 2944, 1012, 1523, 2057, 2424, 9731, 1999, 1037, 6748, 4920, 1998, 1037, 6748, 4920, 1998, 1037, 6748, 4920, 1998, 2009, 2074, 7906, 2183, 2006, 1010, 1524, 5292, 14069, 2056, 1012, 1523, 2148, 2697, 11937, 14490, 5892, 1996, 3353, 2103, 3208, 1010, 1996, 2451, 2458, 2472, 1010, 1996, 3847, 2472, 1010, 1037, 2380, 1998, 28667, 3353, 2472, 1010, 1037, 2610, 2952, 1010, 1037, 2407, 2543, 2708, 1010, 1037, 8640, 12366, 1998, 2809, 2240, 3095, 1010, 2005, 2019, 3296, 10995, 1997, 1002, 1015, 1012, 1022, 2454, 1010, 5401, 3867, 2234, 2013, 2968, 4460, 1012, 1524, 11797, 19930, 11624, 1010, 5052, 1996, 7838, 3028, 4573, 1010, 5275, 2358, 7389, 28078, 2000, 2562, 2610, 3738, 2006, 1996, 3105, 1012, 1523, 2027, 10312, 2256, 3177, 5787, 3696, 2197, 5353, 999, 1524, 2016, 2056, 1997, 20996, 6455, 15862, 1999, 1996, 2181, 1012, 6883, 3419, 7980, 1010, 2635, 2035, 1997, 2010, 23932, 2274, 2781, 1997, 2051, 1010, 1998, 2059, 2070, 1010, 6966, 1996, 2473, 2008, 2025, 2069, 2003, 2045, 1037, 3291, 2007, 1996, 5166, 1010, 2045, 2003, 1037, 3141, 3291, 1999, 2270, 4262, 2008, 2442, 2022, 8280, 2574, 1012, 1523, 2057, 2035, 2354, 2054, 3047, 2000, 1996, 4610, 2144, 1996, 2384, 1011, 5757, 4672, 2095, 1010, 2043, 1996, 2237, 2001, 2725, 1996, 2087, 2449, 2057, 1521, 2310, 2412, 2589, 1010, 1524, 2002, 2211, 1012, 1523, 2059, 2057, 2035, 2113, 2054, 3047, 2000, 1996, 4610, 1010, 1037, 4530, 1997, 2871, 3867, 1012, 1523, 2108, 2125, 2069, 2423, 3867, 2023, 2095, 1010, 2005, 2087, 1997, 2149, 2040, 2031, 2042, 2182, 1037, 2096, 1010, 2057, 2064, 5138, 2008, 1010, 1998, 9120, 2069, 2108, 2125, 2008, 2172, 1012, 2009, 2071, 2031, 2042, 1037, 2843, 4788, 1012, 2057, 2165, 2625, 1997, 1037, 2718, 2084, 2057, 2052, 2031, 2018, 2057, 2025, 2018, 2250, 21762, 1010, 1998, 5821, 7640, 1999, 2237, 1998, 2006, 1996, 3137, 2000, 1996, 6698, 2057, 2031, 1012, 2216, 4411, 2064, 2079, 2062, 2084, 3265, 5661, 1012, 1523, 1045, 2052, 8175, 2008, 2017, 5807, 1521, 1056, 3013, 5821, 1025, 2017, 2323, 3623, 5821, 1012, 2017, 2323, 3623, 2009, 2085, 1012, 2065, 2009, 1521, 1055, 1037, 4546, 10528, 1010, 2017, 1521, 2128, 2183, 2000, 2342, 2000, 5047, 2008, 5821, 7968, 1012, 2009, 1521, 1055, 1037, 10975, 3277, 1012, 1523, 2065, 2017, 2123, 1521, 1056, 2175, 2008, 2126, 1998, 2017, 7392, 2007, 19875, 2721, 1010, 2005, 3649, 3815, 2030, 3649, 3408, 1010, 2008, 1521, 1055, 1037, 10975, 1011, 5821, 2342, 2008, 2017, 2342, 2000, 4769, 1012, 1523, 2005, 2216, 1997, 2017, 2040, 2024, 1999, 2449, 1010, 2017, 1521, 2128, 3331, 2000, 2111, 1010, 2074, 2066, 1045, 2079, 2035, 1996, 2051, 1010, 2007, 25375, 1010, 2814, 1010, 6304, 1010, 5427, 2111, 1012, 2037, 2034, 3980, 2024, 2054, 2055, 2023, 9870, 1029, 2003, 1996, 2237, 2183, 2000, 2175, 3631, 1029, 2054, 2055, 14804, 2860, 2361, 1998, 1996, 2300, 2212, 1029, 2024, 2017, 2183, 2000, 2031, 2300, 1999, 1996, 2925, 1029, 1523, 2009, 1521, 1055, 2025, 2204, 1012, 2008, 1521, 1055, 2339, 2023, 3791, 2000, 2022, 9411, 2007, 2006, 1037, 10975, 3978, 1010, 2320, 2017, 2031, 2673, 5058, 2039, 1999, 1037, 3492, 2210, 3482, 2007, 1037, 6812, 2006, 2327, 1997, 2009, 1012, 2008, 1521, 1055, 2339, 2017, 2342, 2062, 5821, 6363, 1012, 1523, 2017, 2097, 2342, 2000, 13530, 2007, 2198, 24471, 4305, 1521, 1055, 2436, 1010, 1037, 10975, 3049, 2320, 2017, 2131, 2023, 2035, 5058, 2039, 1012, 1523, 2057, 5444, 2017, 1999, 1010, 1524, 2002, 2056, 2000, 1996, 2473, 1012, 1523, 2057, 1521, 2310, 2404, 2017, 1999, 2173, 1998, 2057, 2035, 3246, 2017, 2191, 2204, 6567, 1010, 2021, 2017, 1521, 2310, 2288, 2000, 2131, 2023, 2589, 1012, 1996, 11256, 2024, 4288, 2149, 1012, 1523, 1996, 6548, 1521, 1055, 1999, 1996, 4751, 1010, 1045, 3305, 2035, 2008, 1010, 2021, 2009, 3504, 2066, 2017, 1521, 2310, 2288, 1037, 2210, 2978, 2218, 2067, 1012, 2224, 2008, 2210, 2978, 24501, 26029, 5332, 6321, 1010, 3740, 2058, 1996, 2279, 2558, 1997, 2051, 1010, 2000, 2191, 2469, 2008, 2057, 3623, 1996, 10975, 1998, 5821, 2061, 2008, 2057, 2064, 12636, 2013, 2035, 1996, 2477, 2183, 2006, 1998, 2022, 1037, 2488, 1998, 6428, 2451, 1012, 1524, 2013, 1996, 18765, 2015, 1010, 2473, 4168, 21784, 2015, 2005, 1996, 2087, 2112, 2657, 1996, 4378, 4668, 2007, 19355, 1010, 3828, 2005, 22011, 2048, 1011, 2744, 2473, 2386, 13558, 7702, 1006, 2156, 3141, 2466, 1010, 1052, 1012, 1015, 1007, 2040, 2211, 1037, 2743, 2102, 2008, 2211, 2007, 1523, 2054, 1037, 6752, 999, 2054, 1037, 2561, 6752, 999, 1524, 2059, 2856, 2172, 1997, 2010, 20868, 2063, 2012, 1996, 2968, 1997, 23714, 1011, 10930, 3366, 23419, 3199, 1012, 2473, 2386, 6174, 3536, 1010, 5564, 1010, 4912, 2000, 5587, 7339, 2000, 1996, 5325, 1012, 1523, 1045, 2391, 2041, 2008, 2057, 2211, 1996, 18322, 2832, 2146, 2077, 2054, 2057, 1521, 2128, 2183, 2000, 2022, 2725, 2058, 1996, 2279, 2195, 3134, 1998, 2706, 1010, 1524, 2002, 2056, 1012, 1523, 2057, 2031, 21100, 8162, 11788, 6813, 1010, 3847, 1010, 1998, 6671, 1998, 2057, 2031, 21100, 8162, 11788, 2006, 3265, 7640, 1037, 2193, 1997, 4972, 2008, 2109, 2000, 2022, 2237, 4972, 1012, 2057, 2018, 7558, 5126, 1025, 2057, 2085, 2031, 3770, 1010, 1998, 2057, 1521, 2128, 2183, 2000, 2175, 2091, 2011, 2178, 2416, 1012, 1523, 2061, 2122, 2024, 2025, 3117, 4784, 4496, 2024, 2027, 2047, 1012, 2023, 2003, 2019, 20607, 2832, 1012, 2057, 4453, 1999, 2268, 2008, 2057, 2020, 6114, 2013, 1037, 8332, 15074, 1012, 2009, 2234, 2000, 1037, 2132, 2023, 2095, 2005, 1037, 3232, 1997, 4436, 1010, 2025, 1996, 2560, 1997, 2029, 2003, 1996, 6918, 6689, 1997, 12594, 2138, 1997, 1996, 2659, 4586, 2095, 1012, 1523, 2021, 2130, 2065, 2057, 1521, 1040, 2031, 2018, 1037, 2204, 4586, 2095, 1010, 2057, 2071, 2145, 2022, 2012, 1037, 8332, 15074, 1010, 1998, 2008, 1521, 1055, 2054, 2057, 1521, 2128, 2667, 2000, 2689, 1012, 1045, 2657, 1037, 3232, 1997, 12455, 2035, 12672, 2000, 3383, 2968, 4460, 2022, 3013, 1012, 1045, 11302, 2057 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2671, 4349, 3166, 2728, 1046, 1012, 13975, 1998, 2671, 4349, 12268, 23408, 2080, 14403, 2024, 2383, 1037, 2738, 12401, 6594, 2006, 2037, 4773, 4573, 2055, 3251, 1041, 1011, 2808, 2024, 2428, 1037, 2126, 2000, 2131, 2028, 1521, 1055, 2969, 2124, 2004, 1037, 2671, 4349, 3166, 1012, 2023, 3327, 4512, 2211, 2043, 13975, 1010, 2040, 2038, 2010, 2219, 2338, 2240, 1999, 2710, 1010, 5837, 1037, 2338, 2013, 2019, 3166, 2040, 2018, 7864, 1037, 2338, 1010, 2021, 2059, 2356, 13975, 2000, 9241, 2437, 2039, 2010, 2568, 1012, 4593, 1996, 3166, 2018, 2178, 3749, 2006, 1996, 2795, 2013, 1037, 10172, 1011, 2006, 1011, 5157, 6674, 1998, 3037, 2013, 4773, 2609, 2029, 2359, 2000, 7642, 4697, 1996, 2338, 1012, 13975, 2979, 2006, 1996, 2338, 1998, 11865, 12399, 3264, 2008, 2002, 3373, 1996, 3166, 2001, 2108, 13219, 1010, 2138, 1999, 2010, 5448, 4445, 17491, 2030, 4773, 7642, 6026, 2001, 3497, 2000, 2131, 2023, 3166, 2151, 3809, 2193, 1997, 8141, 1012, 14403, 1010, 2040, 3216, 1037, 2609, 2029, 7642, 10057, 2808, 2004, 16110, 2015, 1010, 11621, 2008, 7642, 3989, 2001, 2025, 1037, 6179, 2126, 1997, 2893, 2028, 1521, 1055, 2171, 2041, 2045, 1012, 13975, 2628, 2039, 1999, 1996, 7928, 1998, 1999, 1037, 3232, 1997, 3176, 8466, 2006, 2010, 2219, 4773, 2609, 1010, 1999, 2029, 2002, 1998, 14403, 8655, 2046, 1996, 3616, 1997, 2040, 2001, 5962, 2000, 2054, 1998, 2054, 1996, 3616, 3214, 1012, 2247, 1996, 2126, 1996, 6594, 2357, 2646, 1996, 2062, 2236, 8476, 1997, 4855, 1998, 7694, 2028, 1521, 1055, 3015, 3784, 1010, 1998, 1996, 3415, 1997, 2870, 1998, 1997, 18342, 3460, 5004, 2020, 24959, 1010, 2138, 18342, 1998, 1045, 2024, 15835, 1996, 2190, 2124, 4973, 1999, 2671, 4349, 1997, 2111, 2040, 2031, 5500, 6981, 3784, 2008, 2031, 2036, 2042, 2800, 1999, 6140, 1006, 2348, 1045, 2052, 7475, 2008, 4918, 2358, 25725, 17210, 5038, 1999, 2023, 5196, 2004, 2092, 1007, 1012, 13975, 9251, 1010, 2174, 1010, 2008, 18342, 1998, 1045, 2323, 2022, 6908, 2041, 2004, 2951, 2685, 1999, 2023, 6594, 1010, 2138, 2057, 2024, 6034, 2041, 14355, 2015, 1517, 1998, 4312, 1010, 2045, 2024, 2053, 2524, 2270, 3616, 2005, 2129, 18342, 1998, 1045, 2024, 4855, 1010, 2061, 2009, 1521, 1055, 2524, 2000, 6848, 1996, 8476, 1999, 2505, 2062, 2084, 2236, 6447, 1012, 2144, 2026, 2171, 2001, 24959, 1010, 1998, 2144, 1045, 2031, 2070, 4301, 2006, 2023, 8476, 1010, 3499, 2033, 2000, 5587, 2026, 2219, 8570, 2000, 2023, 3043, 1010, 2070, 1997, 2029, 2097, 9052, 2054, 2038, 2042, 3130, 2517, 2011, 12525, 2015, 13975, 1998, 14403, 1010, 1998, 2070, 1997, 2029, 2097, 2022, 2047, 2592, 1012, 2000, 4088, 1010, 3071, 2061, 2521, 10217, 2008, 2023, 13294, 3166, 2001, 1037, 2978, 1997, 1037, 7966, 2000, 3046, 2000, 5481, 13975, 2046, 2437, 2019, 8368, 3247, 1010, 1998, 1045, 5993, 2007, 2008, 1012, 1037, 2034, 1011, 2051, 1010, 4242, 1010, 14477, 11461, 2098, 3166, 2428, 2003, 1999, 2053, 2597, 2000, 5245, 2247, 1996, 8368, 2832, 2066, 2008, 1010, 2926, 2043, 1996, 8356, 2038, 2042, 2012, 1996, 3559, 1521, 1055, 4624, 2005, 2069, 2093, 2706, 1025, 3433, 2335, 2005, 14477, 11461, 2098, 10485, 2012, 8544, 2024, 2411, 1037, 2095, 1998, 2823, 2936, 1012, 1998, 17424, 27842, 2024, 3227, 1037, 2053, 1011, 2053, 2004, 2009, 2003, 1010, 2061, 13975, 2001, 2108, 3835, 2000, 2023, 3124, 2000, 4088, 2007, 1012, 2004, 1037, 3213, 1010, 1045, 5121, 5993, 2009, 19237, 2008, 1996, 12339, 2832, 3138, 2061, 4365, 2146, 1517, 5262, 1010, 1996, 20342, 2791, 1997, 1996, 12339, 2832, 1999, 2236, 2001, 2028, 1997, 1996, 2350, 4436, 1045, 2787, 2000, 7642, 4697, 2214, 2158, 1521, 1055, 2162, 3784, 1999, 1996, 2034, 2173, 1517, 2021, 4898, 2031, 2000, 3342, 2008, 1996, 12339, 2832, 2003, 2025, 2005, 2037, 5770, 1010, 2009, 1521, 1055, 2005, 1996, 5770, 1997, 1996, 3559, 1012, 1998, 4312, 1010, 2065, 2017, 1521, 2128, 15703, 2019, 3559, 2012, 1996, 12339, 2754, 1010, 2017, 1521, 2128, 2025, 2437, 2019, 6685, 2005, 4426, 2108, 3733, 2000, 2147, 2007, 2012, 2151, 2060, 2754, 1012, 2061, 1010, 1999, 7680, 1024, 2123, 1521, 1056, 18138, 2125, 1996, 3559, 1012, 2117, 1010, 2025, 2069, 2079, 1045, 5993, 2008, 18342, 3460, 5004, 1998, 1045, 2024, 2041, 14355, 2015, 1010, 2021, 2057, 2036, 4654, 6633, 28250, 2028, 2502, 3291, 2007, 3331, 2055, 1996, 9710, 1997, 5128, 3015, 3784, 1024, 2045, 2003, 2053, 3115, 2126, 1997, 2725, 2009, 1010, 2061, 8800, 1996, 3463, 2000, 2169, 2060, 2003, 2025, 2428, 15902, 1012, 2005, 2742, 1010, 18342, 7085, 2010, 6002, 3784, 2005, 2489, 17424, 2000, 2037, 2713, 1999, 5391, 4289, 1999, 1996, 21785, 1012, 1999, 2026, 2553, 1010, 1045, 27289, 2026, 3117, 2214, 2158, 1521, 1055, 2162, 3784, 1010, 2021, 2044, 2009, 2001, 2853, 1010, 1045, 2165, 2009, 2091, 1012, 2009, 2001, 2069, 2800, 3784, 2005, 2055, 1037, 3204, 1010, 1998, 1999, 2049, 15700, 2005, 2625, 2084, 2048, 3134, 1012, 18342, 3594, 2010, 3793, 2004, 1037, 2126, 2000, 5271, 1996, 3558, 24491, 1997, 1996, 3117, 1025, 1045, 2404, 2026, 3117, 3784, 2138, 1045, 2134, 1521, 1056, 5987, 2000, 5271, 2009, 1010, 1998, 2043, 1045, 2106, 1010, 1045, 2165, 2009, 2125, 4179, 1012, 2122, 2024, 2025, 5662, 4725, 1025, 2009, 1521, 1055, 2025, 6179, 2000, 6592, 2027, 2024, 1012, 2000, 2175, 2582, 2006, 2023, 1010, 1045, 1521, 1049, 18386, 2017, 2064, 2191, 2172, 1997, 2019, 6685, 2008, 1996, 3793, 1997, 18168, 2860, 2108, 3784, 2106, 2172, 2000, 5271, 1996, 2338, 2000, 8141, 1012, 2045, 2001, 1037, 2048, 1011, 2095, 6578, 2090, 2043, 1996, 2338, 2853, 1998, 2043, 2009, 2001, 2405, 1025, 2076, 2008, 2051, 1996, 8141, 5605, 1997, 1996, 2026, 2609, 2062, 2084, 6420, 2094, 1010, 1998, 2038, 6420, 2094, 2153, 2144, 2059, 1012, 2029, 2003, 2000, 2360, 1996, 2193, 1997, 2111, 2040, 2071, 2031, 3191, 1996, 3117, 2043, 2009, 2001, 3784, 2003, 1037, 2193, 2625, 2084, 1016, 1010, 2199, 1010, 1998, 1996, 2193, 2040, 2106, 3191, 2009, 2001, 2763, 2625, 1025, 2025, 3071, 2040, 4716, 2026, 2609, 2763, 3191, 1996, 2878, 2518, 1012, 2000, 3058, 1010, 2214, 2158, 1521, 1055, 2162, 2038, 2853, 2055, 2322, 1010, 2199, 4809, 1006, 1998, 2057, 1521, 2310, 2664, 2000, 2175, 2000, 3742, 1011, 3006, 13611, 1010, 2061, 1996, 2203, 2193, 2097, 1517, 2892, 3093, 1010, 7324, 2006, 3536, 1517, 11504, 2022, 1037, 2978, 3020, 1007, 1010, 2061, 2130, 2065, 2057, 7868, 2008, 3071, 2040, 3191, 2026, 2609, 1999, 2285, 1997, 2526, 4149, 1037, 6100, 1006, 2029, 2052, 2022, 1037, 10021, 11213, 1007, 1010, 1996, 6565, 3484, 1997, 1996, 2111, 2040, 2031, 4149, 1996, 2338, 2145, 3432, 2071, 2025, 2031, 3191, 2009, 1999, 3784, 2433, 1012, 2054, 2106, 5271, 18168, 2860, 3784, 1029, 2023, 2609, 2993, 1010, 2005, 2028, 1010, 2144, 1045, 2113, 2019, 8586, 27364, 3973, 2008, 2116, 8141, 2182, 2040, 2018, 2025, 2464, 1996, 3117, 3784, 2020, 8025, 2000, 2156, 2065, 1045, 2071, 4339, 2028, 2092, 1012, 2021, 1996, 2204, 4391, 1996, 3117, 2288, 2006, 4573, 2066, 16021, 2696, 14289, 16089, 2102, 1998, 8945, 2075, 5092, 2075, 2020, 4187, 2205, 1517, 1998, 2216, 4391, 2234, 3081, 1996, 3558, 4809, 1997, 1996, 2338, 1010, 2025, 1996, 3784, 2544, 1012, 2044, 2023, 1010, 2773, 1997, 2677, 6476, 1999, 1010, 3784, 2004, 2092, 2004, 2125, 4179, 1012, 2021, 2153, 1010, 2035, 1997, 2008, 2001, 2241, 2006, 1996, 6267, 1010, 2405, 2338, 1010, 2025, 1996, 3784, 2544, 1012, 2085, 1010, 1996, 2755, 1045, 2853, 1996, 2338, 2044, 1045, 27289, 2009, 3784, 2003, 1037, 2307, 2466, 1010, 1998, 2643, 4282, 1045, 1521, 2310, 2109, 2009, 2438, 1999, 7636, 1998, 4790, 1012, 2009, 1521, 1055, 1037, 6723, 5677, 1010, 2242, 2008, 4520, 1996, 2338, 4237, 2013, 2060, 2808, 1998, 3957, 12060, 2242, 2005, 2037, 2419, 2063, 1012, 2021, 2153, 1010, 1996, 2466, 1997, 2129, 1045, 2853, 1996, 2338, 2003, 2367, 2013, 2383, 1996, 5025, 3793, 3784, 1012, 1037, 5399, 2062, 6179, 2275, 1997, 2951, 2004, 2000, 3251, 2383, 1996, 3793, 3784, 2064, 2393, 5271, 2028, 1521, 1055, 2338, 2064, 2022, 2464, 2011, 2559, 2012, 4005, 2000, 1996, 3340, 1010, 2029, 2003, 2800, 3784, 1010, 1998, 2001, 2061, 17424, 2000, 1996, 2338, 2108, 2041, 1999, 20990, 2433, 1012, 1045, 2036, 1010, 2013, 2639, 2083, 2432, 1010, 2018, 1996, 2338, 2800, 2004, 1523, 3745, 8059, 1010, 1524, 2029, 2003, 2000, 2360, 1045, 2292, 2111, 2113, 2008, 2065, 2027, 4669, 2009, 1010, 2027, 2323, 4604, 2033, 1037, 7922, 1012, 2085, 2292, 1521, 1055, 2298, 2012, 2070, 3616, 1012, 2090, 1521, 5585, 1998, 1521, 5840, 1045, 2363, 2055, 1002, 1018, 1010, 2199, 2013, 12455, 2040, 3191, 4005, 1010, 2029, 2003, 2004, 3087, 2097, 2425, 2017, 1010, 1037, 3835, 1998, 29369, 7680, 2005, 2505, 2517, 3784, 1012, 2144, 1045, 2356, 12455, 2000, 4604, 2033, 1002, 1015, 2065, 2027, 4669, 2009, 1010, 2017, 2453, 7868, 2008, 2965, 1045, 2288, 1018, 1010, 2199, 8141, 2000, 15606, 2039, 1012, 1999, 2755, 1010, 1996, 2779, 2711, 2741, 1999, 2242, 2066, 1002, 1017, 1012, 3963, 1006, 2029, 2003, 2000, 2360, 2087, 2111, 2741, 1002, 1019, 2030, 1002, 1015, 1010, 1998, 4415, 2062, 2111, 2741, 1002, 1019, 2084, 1002, 1015, 1025, 2023, 2193, 2987, 1521, 1056, 4175, 1996, 3124, 2040, 2741, 2033, 1002, 3263, 1010, 2029, 2145, 22132, 17125, 2026, 2568, 1007, 1012, 2061, 1010, 2062, 2030, 2625, 1010, 2055, 1015, 1010, 5511, 2692, 12455, 9292, 2098, 2058, 1996, 23126, 1012, 2058, 2216, 2274, 2086, 1010, 1045, 10197, 2055, 2423, 1010, 2199, 2111, 2246, 2012, 1996, 4005, 5530, 3784, 2030, 22817, 1996, 3793, 5371, 1012, 2061, 2057, 1521, 2128, 3331, 2055, 2055, 1037, 1018, 1011, 1019, 1003, 7584, 3446, 2005, 2111, 2559, 2000, 2111, 7079, 1012, 1045, 2853, 4005, 2000, 1996, 3340, 2046, 1037, 3132, 20990, 3179, 1999, 2220, 2384, 1998, 2009, 2150, 2800, 2005, 3653, 1011, 2344, 1999, 2397, 2337, 1025, 2009, 2234, 2041, 1999, 2257, 1998, 3985, 2853, 2041, 2049, 1015, 1010, 3156, 1011, 6100, 6140, 2448, 1999, 2254, 2294, 1006, 2348, 9733, 4447, 2009, 2064, 2145, 2131, 2009, 2005, 2017, 1010, 2065, 2017, 1521, 2128, 5627, 2000, 3524, 1018, 1011, 1020, 3134, 1007, 1012, 2090, 2254, 2384, 1998, 2023, 2617, 1010, 1996, 4005, 3931, 2006, 2023, 2609, 2001, 4716, 2055, 3438, 1010, 2199, 2335, 1010, 2061, 2017, 2071, 2360, 2045, 2001, 1037, 1016, 1012, 1019, 1003, 8068, 1011, 2000, 1011, 17634, 7584, 3446, 2045, 1010, 2065, 2017, 2903, 2008, 1996, 2069, 2126, 2111, 2179, 2041, 2055, 1996, 2338, 2001, 2083, 1996, 4005, 5530, 1997, 2023, 2609, 1529, 1529, 2029, 2052, 2022, 10021, 1012, 2005, 2028, 2518, 1010, 1045, 2288, 3505, 1047, 10404, 15859, 2243, 1997, 10647, 10877, 2000, 2079, 1996, 3104, 1997, 1996, 2338, 1010, 2025, 2069, 2138, 1045, 2354, 2002, 1521, 1040, 2191, 1037, 4658, 3104, 2021, 2138, 1045, 2354, 6643, 4599, 2052, 2022, 4699, 1999, 1996, 2338, 2074, 2138, 3505, 2106, 1996, 3104, 1010, 1998, 1045, 1521, 1049, 2025, 2205, 7098, 2000, 19021, 2243, 1999, 1037, 2210, 7686, 6643, 8294, 1012, 2005, 2178, 2518, 1010, 2111, 2040, 2018, 3191, 2214, 2158, 1521, 1055, 2162, 1998, 4669, 2009, 2718, 9733, 2030, 16420, 2569, 3012, 4573, 2000, 2156, 2054, 2842, 1045, 1521, 1040, 2517, 1998, 3856, 2039, 4005, 2008, 2126, 1012, 2005, 2664, 2178, 2518, 1010, 28811, 2811, 1010, 1996, 2338, 1521, 1055, 6674, 1010, 3755, 1996, 2338, 3081, 2049, 2609, 1998, 5653, 2075, 2862, 1012, 1998, 1997, 2607, 1045, 11834, 3064, 2009, 2039, 2182, 2006, 1996, 3649, 1012, 2009, 1521, 1055, 4189, 2000, 6592, 2008, 2070, 1997, 1996, 4005, 4809, 2020, 2853, 2011, 2383, 1996, 3793, 3784, 1010, 2021, 2087, 1029, 1045, 2031, 2026, 17829, 1012, 1006, 2106, 2383, 4005, 3784, 2005, 2093, 2086, 2077, 1045, 2853, 2214, 2158, 1521, 1055, 2162, 2079, 2505, 2005, 2026, 6337, 2004, 2019, 16420, 3213, 1029, 1999, 1037, 2773, 1024, 2053, 1012, 2043, 18168, 2860, 2853, 1010, 1996, 6565, 3484, 1997, 16420, 5470, 9527, 1998, 16420, 4640, 2910, 1521, 1056, 1996, 15989, 9789, 2040, 1045, 2001, 1010, 1998, 2216, 2040, 2106, 1010, 2354, 2033, 2004, 1037, 28205, 1012, 2029, 10855, 22081, 2046, 1996, 2279, 2391, 1024, 1007, 2353, 1010, 2004, 1045, 1521, 2310, 3264, 2077, 1010, 2445, 1996, 3601, 2090, 6885, 2030, 7642, 6026, 2028, 1521, 1055, 2147, 3784, 1010, 1998, 4526, 1037, 5926, 12054, 9927, 1013, 4773, 2609, 2008, 9891, 2111, 1999, 1998, 2038, 2068, 4192, 2006, 1037, 9377, 3978, 1010, 1045, 2228, 2009, 1521, 1055, 2172, 25670, 2000, 3857, 2008, 5926, 12054, 4773, 2609, 1012, 2053, 2028, 2052, 2031, 3191, 2593, 4005, 2030, 2214, 2158, 1521, 1055, 2162, 2065, 1045, 2018, 3432, 2404, 2068, 2039, 3147, 1025, 1996, 2111, 2040, 3191, 2068, 2043, 2027, 2020, 3784, 1006, 1998, 2077, 1045, 2150, 2124, 2005, 2151, 2060, 4066, 1997, 3015, 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, 2129, 2000, 3328, 2091, 1996, 12485, 2043, 2017, 1005, 2310, 2288, 2048, 3566, 2015, 1001, 5103, 6040, 1001, 2814, 1004, 2155, 6040, 1001, 12485, 1001, 12485, 1011, 3788, 3689, 1001, 5103, 2244, 1016, 1064, 16126, 13244, 13498, 8613, 2125, 19442, 23736, 3207, 1045, 2031, 11690, 3008, 1998, 1045, 2001, 6603, 2129, 1045, 3198, 2028, 2388, 2058, 1996, 2060, 2000, 3328, 2033, 2091, 1996, 12485, 1029, 1045, 2572, 4041, 2006, 4851, 2026, 1005, 2060, 1005, 2388, 1010, 2008, 2003, 2026, 2512, 1011, 4182, 2388, 1010, 2000, 3932, 1996, 2569, 3276, 2057, 2031, 1012, 2021, 2130, 1996, 2245, 1997, 2009, 3084, 2033, 2514, 2066, 1045, 2572, 1010, 1015, 1007, 6135, 3228, 2046, 11690, 6687, 22807, 2011, 4851, 2014, 2000, 6039, 1037, 3151, 1005, 2269, 1005, 2535, 1010, 1998, 1016, 1007, 2975, 2026, 4182, 1011, 2388, 2041, 1997, 1996, 5103, 1012, 2031, 2151, 2060, 2336, 1997, 5637, 3008, 6915, 2007, 2023, 21883, 1029, 1011, 11425, 2026, 3129, 1010, 2040, 2036, 2038, 2048, 3566, 2015, 1010, 6735, 2098, 2041, 2006, 2025, 2383, 2000, 3066, 2007, 2023, 3327, 4119, 1517, 2010, 1000, 2060, 2388, 1000, 6294, 2003, 3243, 11004, 1010, 1998, 2437, 2014, 2131, 2039, 1999, 2392, 1997, 1037, 4306, 2076, 2256, 5103, 2001, 2014, 5409, 10103, 1012, 2057, 2018, 2852, 2063, 1005, 1055, 3566, 7912, 2552, 2004, 2256, 3614, 1011, 20905, 1006, 1998, 2026, 26700, 9111, 1007, 2076, 1996, 3614, 3863, 1010, 2096, 6294, 11361, 3427, 2013, 2014, 3962, 2006, 1996, 10168, 1012, 2005, 2115, 3663, 1010, 2028, 5724, 2052, 2022, 2000, 3443, 1037, 6919, 2535, 2005, 2115, 6897, 2388, 1999, 1996, 5103, 1010, 2138, 2017, 1005, 2128, 2157, 1024, 4851, 2028, 2388, 1998, 2025, 1996, 2060, 2038, 1996, 4022, 21766, 18142, 2070, 12261, 1012, 2065, 2017, 2424, 1037, 2092, 1011, 10897, 2126, 2005, 2014, 2000, 5589, 1999, 1996, 5103, 1010, 2009, 1005, 2222, 3497, 2022, 2625, 1997, 2019, 3277, 2008, 2115, 2060, 2388, 2003, 2920, 1999, 1996, 3151, 1000, 3611, 1000, 2535, 1012, 1045, 2123, 1005, 1056, 2113, 2115, 3566, 1010, 2061, 1045, 1005, 1049, 2025, 2469, 2054, 1996, 2190, 10293, 2003, 2182, 1517, 2026, 2388, 2003, 3565, 3315, 1998, 7459, 2019, 4378, 1010, 2061, 2016, 6369, 2256, 19396, 2389, 2299, 1012, 2065, 2017, 2215, 2000, 4468, 1996, 1000, 11690, 3611, 1000, 5907, 3314, 1997, 2383, 2115, 2060, 2388, 3357, 2046, 1996, 5171, 2269, 2535, 1010, 2059, 1045, 1005, 1040, 18012, 2383, 2068, 2119, 3328, 2017, 2091, 1996, 12485, 999, 3644, 8959, 2015, 2024, 6964, 2939, 2091, 1996, 12485, 2011, 2119, 3008, 1010, 1998, 2065, 12460, 1998, 1045, 2910, 1005, 1056, 2939, 2091, 1996, 12485, 2362, 1010, 1045, 2052, 2031, 11780, 1996, 1000, 2119, 3008, 1000, 4535, 1012, 2036, 1010, 2009, 2052, 2022, 6806, 21818, 2017, 2000, 2831, 2000, 2115, 6897, 2388, 2055, 2023, 1517, 2009, 2089, 2022, 2008, 1010, 2066, 2852, 2063, 1005, 1055, 2060, 2388, 1010, 2016, 2987, 1005, 1056, 2215, 2000, 2022, 2112, 1997, 1996, 5103, 1998, 2052, 2738, 2031, 1996, 9542, 1997, 2074, 3666, 1012, 23554, 1010, 2016, 2089, 2031, 4784, 2005, 2129, 2016, 4122, 2000, 2131, 2920, 2008, 2876, 1005, 1056, 2892, 2115, 2568, 1012, 2131, 2115, 3679, 13004, 1997, 2125, 19442, 12476, 6398, 2171, 1008, 6398, 10373, 1008, 2434, 3793, 4607, 1996, 2434, 3793, 2182, 1012, 5493, 3793, 1008, 4607, 2115, 4081, 6100, 2098, 4183, 2182, 1012, 3964, 2017, 2064, 5587, 1037, 3602, 2005, 1996, 3559, 2182, 1012, 1008, 3223, 2592, 1012, 8081, 5939, 6873, 16126, 13244, 13498, 8613, 3166, 1997, 2125, 19442, 8959, 1024, 5541, 15955, 2005, 2981, 8959, 2015, 1010, 16126, 4490, 2004, 1996, 6674, 1997, 2035, 1996, 2125, 19442, 3400, 11744, 1012, 2016, 3268, 1010, 7459, 1010, 1998, 2079, 19987, 2041, 2524, 1999, 5862, 1010, 11333, 1012, 3025, 2085, 2008, 1005, 1055, 1037, 2417, 5030, 4377, 2279, 7673, 1004, 4901, 1005, 1055, 3510, 26865, 2265, 1013, 5342, 7928, 1031, 2484, 1033, 1045, 2253, 2000, 1037, 5030, 2086, 3283, 1998, 1996, 8959, 2018, 2014, 2388, 1998, 2269, 3328, 2014, 2091, 1996, 12485, 1529, 2028, 2006, 2169, 2849, 1012, 1045, 2245, 2008, 2001, 2200, 4086, 1012, 2009, 2071, 2147, 2005, 2048, 3566, 2015, 2030, 2048, 3611, 2015, 999, 1016, 5993, 7514, 2026, 3566, 1998, 3611, 2119, 2939, 2033, 2091, 1996, 12485, 1006, 1998, 2026, 3129, 2001, 2036, 2939, 2091, 2011, 2119, 1997, 2010, 3008, 1007, 1010, 1045, 16755, 2383, 2119, 1997, 2068, 2007, 2017, 999, 999, 100, 1015, 10217, 7514, 2043, 2026, 2388, 1998, 21481, 2288, 2496, 1010, 2027, 2169, 2018, 2119, 2037, 3008, 3328, 2068, 2091, 1996, 9932, 4877, 2063, 1516, 1998, 2027, 2018, 1037, 3142, 3234, 5103, 1012, 1045, 2245, 2009, 2001, 2307, 1010, 1998, 2097, 2087, 3497, 2079, 1996, 2168, 2065, 1045, 2412, 2131, 2496, 1012, 1015, 10217, 7514, 1045, 2036, 2572, 1996, 7098, 2684, 1997, 2048, 3566, 2015, 1012, 1045, 1005, 1049, 10549, 2000, 2031, 2026, 16012, 1011, 3566, 3328, 2033, 2091, 1996, 12485, 1998, 2014, 4256, 1006, 2026, 2060, 2388, 1007, 2097, 2022, 2256, 2125, 24108, 3372, 1012, 100, 1018, 5993, 7514, 2130, 2295, 2026, 2564, 1998, 1045, 2018, 2119, 2256, 3008, 3328, 2149, 2091, 1996, 12485, 2138, 2009, 2001, 3644, 4535, 1010, 1045, 1005, 1049, 4531, 2087, 6062, 2024, 2183, 2023, 2799, 9906, 999, 2119, 11690, 20429, 1045, 16164, 2023, 3204, 2018, 2119, 2037, 3008, 3328, 2068, 2091, 1996, 12485, 1998, 2027, 4694, 1005, 1056, 3644, 1010, 2021, 2009, 2371, 3019, 2000, 3328, 2091, 1996, 12485, 2008, 2126, 1012, 1015, 10217, 7514, 2893, 2939, 2091, 1996, 2004, 9463, 2007, 2119, 3008, 2001, 10392, 1012, 2182, 2003, 28667, 9006, 18537, 2008, 1012, 2144, 2057, 2018, 1037, 3644, 5030, 2026, 4256, 2106, 1996, 2168, 1010, 1998, 2057, 2876, 1005, 1056, 2031, 2018, 2009, 2151, 2060, 2126, 1012, 7514, 1045, 2036, 2018, 2119, 2026, 3008, 3328, 2033, 2091, 1996, 12485, 1010, 2074, 2191, 2469, 1996, 12485, 2003, 2502, 2438, 1012, 2256, 12485, 2001, 2081, 1997, 10986, 2006, 2593, 2217, 1998, 2009, 2001, 1037, 2210, 2235, 1010, 2061, 2026, 3566, 2941, 3706, 2006, 2028, 2076, 1996, 3328, 1012, 1012, 2021, 4728, 2009, 2499, 2041, 2307, 999, 1015, 10217, 7514, 2026, 2905, 2001, 2939, 2091, 1996, 12485, 2011, 2119, 2256, 3611, 1998, 2014, 3357, 14697, 1010, 1998, 2081, 2469, 2000, 2031, 1037, 2569, 3153, 2007, 2119, 1997, 2068, 1012, 2043, 1996, 2093, 1997, 2068, 2584, 1996, 2203, 1997, 1996, 12485, 1998, 1996, 2704, 2356, 2040, 3957, 2014, 2185, 1010, 2026, 3566, 1998, 2014, 3566, 2119, 2288, 2039, 1998, 2035, 1018, 3008, 2056, 1000, 2057, 2079, 1000, 1012, 1016, 5993, 7514, 3788, 2091, 1996, 12485, 2001, 2763, 2026, 5440, 2112, 1997, 2026, 5030, 1012, 2026, 3008, 2119, 2939, 2091, 2077, 2033, 1010, 2059, 3030, 3054, 1011, 12485, 1012, 1045, 2939, 2091, 2894, 1010, 2777, 2068, 1010, 4782, 2068, 1010, 1998, 2059, 4741, 2096, 2027, 2253, 2000, 2037, 4272, 1012, 2026, 3129, 2059, 2234, 1998, 2777, 2033, 8576, 1998, 2057, 2939, 2091, 1996, 2717, 1997, 1996, 2126, 2362, 1012, 1045, 3866, 2893, 2000, 3932, 2119, 2026, 3008, 1010, 2021, 2036, 2359, 2000, 3328, 2894, 1006, 1045, 15959, 2000, 2108, 1000, 2445, 2185, 1012, 1000, 1007, 2021, 1996, 2190, 2001, 2008, 2617, 1997, 2026, 3129, 2746, 2091, 2000, 3113, 2033, 1516, 2009, 2001, 2066, 2057, 2020, 1996, 2069, 1016, 2111, 1999, 1996, 2282, 1012, 2023, 2052, 2147, 2005, 1037, 2878, 3528, 1997, 2155, 2566, 28120, 10708, 1006, 3008, 999, 3357, 19362, 11187, 999, 2048, 3566, 2015, 999, 1007, 1019, 5993, 7514, 1045, 2293, 2008, 999, 7514, 2025, 2069, 2024, 2119, 8959, 1998, 18087, 2939, 2091, 1996, 12485, 2011, 2119, 2037, 7972, 4520, 3008, 1999, 3644, 20429, 1010, 2035, 1996, 3008, 2036, 3233, 2007, 2068, 2104, 1996, 14684, 13944, 2232, 1012, 26822, 9688, 2050, 7514, 2182, 2000, 2117, 1006, 2030, 1529, 5964, 1029, 1007, 1996, 10293, 1997, 2383, 2119, 3008, 3328, 2017, 2091, 1996, 12485, 1012, 2119, 1997, 2068, 2018, 1037, 2192, 1999, 6274, 2017, 1010, 2044, 2035, 1012, 7514, 2017, 2071, 2467, 3328, 4426, 2091, 1996, 12485, 1012, 100, 2009, 1005, 1055, 2054, 2026, 19455, 1998, 1045, 2933, 2000, 2079, 1012, 1015, 10217, 7514, 1998, 2008, 1005, 1055, 2074, 2054, 2057, 2024, 2183, 2000, 2079, 2205, 999, 1045, 3764, 2000, 2026, 10756, 1998, 1010, 2004, 2172, 2004, 2027, 2020, 8686, 2000, 2022, 2112, 1997, 1996, 5103, 1010, 2027, 2245, 2026, 2108, 1005, 2445, 2185, 1005, 2001, 2205, 3151, 1012, 1996, 2062, 1045, 2245, 2055, 2009, 1010, 1996, 2062, 1045, 3530, 1012, 2061, 1010, 2345, 14392, 1010, 2026, 1042, 2232, 1998, 1045, 2024, 3788, 2362, 2091, 1996, 12485, 1012, 1015, 10217, 7514, 2012, 2256, 5030, 1010, 2026, 2564, 1998, 1045, 2169, 2939, 1999, 2013, 1996, 2392, 2006, 2593, 2217, 1997, 1996, 2277, 1010, 2777, 2012, 1996, 2067, 1010, 1998, 2939, 2039, 1996, 2415, 12485, 2362, 1012, 2053, 3008, 2920, 1006, 2029, 3271, 11027, 2070, 3543, 9961, 2183, 2006, 1007, 1998, 2009, 2371, 2157, 2005, 2149, 1012, 7514, 1045, 1010, 7714, 1010, 2787, 2053, 2028, 2003, 3788, 2033, 2091, 1996, 8842, 1012, 1996, 2126, 1045, 2156, 2009, 1029, 1045, 1005, 1049, 2026, 2219, 2711, 1010, 2053, 2028, 2003, 1000, 3228, 1000, 2033, 2185, 1012, 2065, 2026, 2365, 2347, 1005, 1056, 2183, 2000, 2022, 1996, 3614, 20905, 2059, 1045, 1005, 1040, 2031, 2032, 2079, 2009, 1006, 2002, 1005, 1055, 2093, 1007, 2138, 2002, 1005, 1055, 1001, 1015, 2879, 1999, 2026, 2166, 1012, 4312, 1010, 1045, 2031, 2026, 2388, 1004, 2093, 3611, 2015, 1006, 2026, 3611, 1010, 2010, 4256, 1004, 2026, 21481, 1007, 2061, 1045, 2572, 4531, 2060, 3971, 2000, 2131, 2920, 1012, 2027, 2113, 2026, 1000, 7490, 1000, 3241, 2061, 2027, 3305, 1004, 2024, 2074, 7537, 2000, 2022, 1037, 2112, 1997, 2009, 100, 7514, 1045, 2018, 2119, 3566, 1998, 3611, 3328, 2033, 2091, 1996, 12485, 1998, 2009, 2001, 2061, 1529, 2053, 9496, 12227, 1010, 19613, 1010, 16334, 1529, 2021, 2008, 1005, 1055, 1038, 1013, 1039, 1045, 1005, 1049, 2485, 2000, 2119, 3008, 1010, 2205, 1012, 2057, 2018, 1037, 4867, 10714, 2061, 3566, 2018, 2014, 2567, 3328, 2014, 2091, 1996, 5108, 1998, 2016, 4741, 2005, 2149, 2012, 1996, 3953, 1012, 2021, 1010, 2016, 2036, 2038, 2919, 5042, 2061, 2016, 2734, 1996, 2849, 1998, 2192, 15118, 999, 3611, 1998, 1045, 2234, 2091, 1996, 5108, 1010, 2777, 2039, 2007, 3566, 1998, 2939, 1996, 2717, 1997, 1996, 12485, 1012, 1996, 27263, 2015, 2024, 10140, 2061, 1045, 3984, 2009, 2001, 6919, 1012, 2026, 2159, 2020, 2006, 2026, 2158, 1011, 2000, 1011, 2022, 999, 7514, 16360, 14122, 2098, 2013, 9130, 1529, 1012, 1045, 2572, 2061, 5580, 2000, 2156, 2023, 8280, 999, 1045, 2069, 2031, 2028, 11690, 3566, 2021, 2009, 1005, 1055, 3835, 2000, 2156, 6904, 4328, 18622, 2229, 2066, 3067, 2443, 1012, 2009, 1005, 1055, 6881, 2138, 2026, 3566, 2064, 1000, 3413, 1000, 2005, 3442, 2144, 2016, 2987, 1005, 1056, 2031, 1037, 4256, 1529, 3442, 2111, 2411, 7868, 2008, 3071, 2003, 3442, 1012, 2009, 2036, 5683, 6881, 2000, 2022, 2893, 2496, 1999, 2662, 2044, 17678, 1012, 1022, 2979, 1012, 1045, 2572, 2061, 6517, 1529, 3191, 2062, 7875, 5833, 2008, 1010, 2021, 2036, 3407, 2055, 2026, 2219, 3510, 1012, 2129, 2515, 2028, 4769, 2023, 3277, 2302, 2893, 1000, 2576, 1029, 1000, 2045, 2024, 2111, 1999, 2119, 2026, 1998, 2026, 1042, 2232, 1005, 1055, 2945, 2040, 2024, 2114, 5637, 3510, 1012, 2045, 2024, 2036, 2116, 1043, 20850, 2102, 1006, 1998, 1043, 20850, 2102, 1011, 5379, 1007, 2111, 1999, 2026, 2155, 1012, 2129, 2515, 2028, 28667, 8663, 6895, 2571, 2023, 2012, 1037, 5030, 1029, 7514, 2672, 3191, 18858, 1005, 1055, 17899, 1006, 1996, 2466, 2008, 4427, 1996, 2002, 2094, 16279, 7284, 1007, 1029, 1015, 10217, 7514, 1045, 2939, 2870, 2091, 1996, 12485, 1012, 1045, 2134, 1005, 1056, 2228, 2067, 2059, 2008, 1045, 12533, 3087, 3788, 2033, 2091, 1996, 12485, 2144, 2026, 3008, 2020, 8179, 1012, 2021, 2145, 1045, 5632, 2037, 3739, 1012, 7514, 10881, 1010, 12669, 2012, 1037, 6742, 5030, 1006, 2019, 12476, 9927, 999, 1007, 5720, 2055, 2023, 3243, 1037, 2978, 1012, 1045, 2113, 2070, 2111, 2040, 5454, 2000, 2404, 2242, 1999, 2037, 2565, 1010, 2030, 2191, 1037, 4861, 1010, 2030, 5227, 1037, 13445, 2004, 2112, 1997, 1996, 1000, 15584, 1010, 1000, 4385, 1012, 7714, 1010, 2009, 2003, 2115, 2154, 1998, 5020, 3510, 2003, 2590, 2000, 2017, 1010, 2061, 1045, 2360, 2008, 2017, 2323, 2514, 6625, 2437, 1037, 1000, 2576, 1000, 4861, 2076, 2115, 5103, 2030, 1999, 2115, 2565, 1012, 2070, 1997, 2216, 3424, 1011, 5020, 3510, 12455, 2453, 2130, 2022, 20122, 1010, 2000, 2156, 2035, 1996, 2293, 2006, 2115, 2154, 2306, 1996, 6123, 1997, 2216, 17676, 3510, 1012, 2005, 2256, 2125, 19442, 12743, 1010, 2057, 4995, 1005, 1056, 15366, 1006, 15241, 2172, 1007, 2055, 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, 2624, 4560, 1011, 1011, 2009, 2038, 2579, 2577, 11895, 16555, 10830, 3781, 1012, 2471, 2322, 2086, 2000, 6449, 1996, 5995, 1997, 1037, 12219, 13449, 2002, 2034, 8969, 2000, 1996, 2270, 2306, 1037, 2095, 1997, 2635, 2058, 2010, 2269, 1005, 1055, 2624, 4560, 2103, 2473, 2835, 1012, 1999, 2281, 2786, 1010, 11895, 16555, 10830, 3781, 1012, 5444, 2000, 2062, 2084, 3313, 1996, 2193, 1997, 7251, 2012, 1996, 2103, 1005, 1055, 2048, 4003, 4734, 1010, 3016, 7886, 1998, 3871, 2103, 9270, 1012, 2096, 2002, 25353, 8737, 25457, 5422, 2007, 2945, 7950, 4237, 2011, 12219, 13449, 1010, 2002, 2409, 1996, 2473, 2008, 2002, 3569, 1996, 3623, 2138, 4728, 12219, 1000, 2097, 2022, 6206, 1998, 4895, 8663, 13181, 11001, 1012, 1000, 2002, 2506, 1010, 1000, 2005, 2216, 1997, 2017, 2040, 18503, 1010, 2065, 2017, 1005, 2310, 2412, 2018, 1996, 9016, 1997, 12219, 1010, 2029, 1045, 2031, 1012, 1012, 1012, 2065, 2017, 2215, 2000, 18503, 1010, 2017, 2024, 2183, 2000, 18503, 1010, 2017, 2024, 2183, 2000, 18503, 1012, 2017, 2097, 2424, 2017, 2097, 3604, 1010, 2017, 2097, 2079, 3649, 2017, 2031, 2000, 2079, 2000, 2131, 1996, 2769, 1010, 2000, 2031, 2008, 3110, 1997, 12219, 1010, 1998, 2008, 1005, 1055, 2200, 3928, 1012, 1000, 2021, 2044, 1996, 3789, 1010, 11895, 16555, 10830, 3781, 1012, 2056, 2002, 2134, 1005, 1056, 5136, 2370, 1037, 3291, 18503, 2099, 1012, 2006, 6928, 1010, 2008, 9016, 2097, 2486, 1996, 2085, 1011, 4868, 1011, 2095, 1011, 2214, 2280, 4203, 10254, 2221, 12366, 2000, 25803, 5905, 2000, 1037, 5164, 1997, 6997, 1010, 2013, 2566, 9103, 2854, 2000, 28616, 18161, 3049, 1998, 26980, 5029, 1010, 4566, 5091, 2010, 2576, 2476, 1999, 2662, 1012, 1000, 2577, 2018, 2019, 4495, 2000, 3443, 1037, 2171, 2005, 2370, 1010, 1998, 6854, 2002, 2292, 2010, 7942, 2202, 2058, 1010, 1000, 2056, 4560, 10125, 2015, 2139, 1051, 3540, 1010, 1037, 2280, 2472, 1997, 1996, 2632, 2819, 2600, 17041, 2415, 2040, 2499, 2005, 11895, 16555, 10830, 1005, 1055, 2269, 2043, 2002, 2001, 1037, 2473, 2386, 1012, 1000, 1045, 1005, 1049, 2025, 2028, 2000, 2448, 2013, 1037, 2767, 1010, 2021, 1996, 2451, 17210, 2488, 1012, 1000, 3383, 1996, 2034, 1043, 17960, 5017, 2008, 11895, 16555, 10830, 3781, 1012, 2018, 1037, 12219, 3291, 2234, 2074, 2093, 2706, 2044, 3045, 2602, 2000, 2010, 2269, 1005, 1055, 2835, 1010, 2043, 2023, 3780, 2988, 27963, 2032, 2012, 1017, 1037, 1012, 1049, 1012, 2652, 6643, 2072, 2175, 2860, 2012, 5292, 11335, 2232, 1005, 1055, 2697, 11937, 14490, 9270, 1012, 1996, 7942, 2008, 5225, 2032, 2323, 2272, 2004, 2053, 4474, 2000, 2116, 1010, 2164, 2010, 2155, 1012, 2004, 2010, 2269, 2320, 2409, 2010, 2473, 8628, 1999, 2826, 2076, 1037, 5981, 5994, 1996, 3871, 2103, 9270, 1010, 2073, 2002, 1005, 1040, 2209, 5329, 2005, 2062, 2084, 2048, 5109, 1024, 1000, 1045, 4148, 2000, 2272, 2013, 1037, 2155, 1997, 18503, 2869, 1012, 1000, 5262, 1010, 1037, 2155, 2767, 17749, 2129, 5191, 1996, 2473, 2386, 1005, 1055, 2564, 2001, 2043, 2014, 3129, 3478, 2000, 2272, 2188, 2028, 5958, 2305, 1010, 2069, 2000, 2963, 2013, 2032, 1996, 2279, 2154, 2008, 2002, 2001, 12219, 1999, 17738, 1998, 2734, 2014, 2000, 7318, 2032, 2769, 1012, 2664, 2216, 2040, 2354, 1996, 20934, 21194, 1010, 6754, 16843, 2271, 2577, 11895, 16555, 10830, 5034, 1012, 2360, 2010, 10017, 12219, 2196, 26814, 2000, 1037, 13675, 11514, 14353, 28935, 5149, 1012, 10125, 2015, 2139, 1051, 3540, 17749, 1996, 9109, 2002, 2165, 2058, 1996, 2086, 2007, 11895, 16555, 10830, 5034, 1012, 1998, 1037, 2261, 2500, 2005, 1037, 1000, 3124, 1005, 1055, 5353, 1005, 1005, 2012, 1037, 2767, 1005, 1055, 6644, 2379, 2697, 11937, 14490, 1012, 2012, 2305, 1010, 2027, 1005, 1040, 2132, 2046, 2148, 2697, 11937, 14490, 2005, 4596, 1010, 2628, 2011, 1037, 2261, 2847, 2012, 1996, 10453, 6681, 2030, 1996, 7251, 1010, 2059, 2709, 2000, 1996, 6644, 1012, 1000, 2021, 2009, 2001, 2498, 2066, 2054, 1005, 1055, 2042, 2649, 1999, 1996, 6399, 1000, 2055, 11895, 16555, 10830, 3781, 1012, 1010, 2056, 10125, 2015, 2139, 1051, 3540, 1997, 1996, 5571, 6406, 2114, 1996, 2280, 12366, 1010, 2164, 2478, 3049, 11440, 2002, 5067, 1999, 1037, 1002, 2531, 1010, 2199, 22889, 20668, 4636, 2000, 4762, 2010, 12219, 26144, 2015, 1012, 11895, 16555, 10830, 3781, 1012, 2038, 2025, 5838, 2000, 11186, 2005, 7636, 2144, 2010, 3361, 3471, 2034, 2150, 2270, 2197, 2095, 1012, 2612, 1010, 2002, 1005, 1055, 2069, 2207, 1037, 2261, 8635, 1011, 1011, 1037, 8150, 1997, 14154, 6238, 1010, 14920, 1998, 9530, 18886, 3508, 1012, 2010, 2155, 6430, 2000, 2022, 10263, 2005, 2023, 2466, 1012, 1999, 2010, 8172, 3661, 1010, 1996, 2280, 12366, 4914, 2002, 1005, 1055, 6224, 2393, 2005, 2010, 13449, 1010, 2004, 2092, 2004, 6245, 1012, 10125, 2015, 2139, 1051, 3540, 1998, 2500, 4993, 1037, 8552, 6533, 1997, 1996, 3276, 2090, 1037, 8295, 2021, 2012, 2335, 10206, 11895, 16555, 10830, 5034, 1012, 1998, 2010, 7310, 2365, 1010, 2040, 2001, 2025, 2542, 2039, 2000, 2010, 4022, 1012, 2624, 4560, 2110, 9162, 13097, 6992, 17643, 2078, 1010, 2012, 2008, 2051, 1037, 6080, 9740, 17220, 1010, 17722, 1996, 2269, 17949, 2000, 2032, 2055, 11895, 16555, 10830, 3781, 1012, 1000, 1045, 3342, 2002, 2056, 1010, 1005, 1045, 1005, 1049, 2383, 4390, 2007, 2026, 2219, 4845, 1010, 1998, 2002, 1005, 1055, 2019, 4639, 2085, 1012, 2002, 2180, 1005, 1056, 6611, 2370, 1025, 2002, 2987, 1005, 1056, 2031, 1037, 3105, 1025, 2002, 1005, 1055, 3666, 2694, 2035, 2154, 2146, 1010, 1005, 1000, 6992, 17643, 2078, 2056, 1012, 11895, 16555, 10830, 5034, 1012, 1005, 1055, 3298, 2001, 8987, 1999, 1996, 2451, 1012, 2116, 2360, 2009, 2234, 2013, 2010, 7823, 2166, 3652, 2039, 1999, 1996, 2430, 3028, 2004, 1996, 2365, 1997, 1037, 2887, 1011, 2137, 2269, 1998, 7402, 2388, 1012, 1996, 12170, 22648, 4818, 2155, 16753, 26479, 2015, 1010, 2164, 2051, 2012, 1037, 2088, 2162, 2462, 29041, 3409, 1012, 11895, 16555, 10830, 5034, 1012, 1005, 1055, 3008, 2101, 9196, 1012, 2004, 2002, 3123, 2013, 2264, 2217, 2586, 2152, 2082, 2212, 3836, 1998, 17220, 2000, 2103, 2534, 25297, 1010, 20324, 2005, 1996, 11681, 1997, 2473, 2212, 1021, 1011, 1011, 2029, 2846, 2013, 2690, 1011, 2465, 2000, 3532, 1010, 2164, 2195, 2152, 1011, 4126, 2752, 1011, 1011, 11895, 16555, 10830, 5034, 1012, 1998, 2010, 2564, 1010, 7437, 2078, 1010, 2992, 1037, 2155, 1024, 2577, 3781, 1012, 1010, 2684, 12847, 4674, 1998, 6587, 2365, 6358, 3051, 1012, 2096, 12847, 4674, 2815, 1996, 6207, 1997, 2010, 3239, 1010, 2577, 5034, 1012, 2001, 5191, 2055, 2010, 17283, 1010, 2814, 2056, 1011, 1011, 1998, 2005, 2204, 3114, 1012, 2011, 2539, 1010, 2002, 2001, 2496, 2007, 2048, 5727, 1012, 2044, 11895, 16555, 10830, 3781, 1012, 1005, 1055, 12116, 1999, 1996, 1057, 1012, 1055, 1012, 2390, 2004, 1037, 2510, 2610, 2961, 8895, 1999, 2762, 1010, 1996, 3232, 9196, 1999, 3106, 1012, 1999, 3055, 1010, 2009, 2165, 1037, 4735, 11537, 2000, 2191, 2032, 3477, 2775, 2490, 1012, 2021, 1037, 2261, 2086, 2101, 1010, 1000, 1046, 1012, 1054, 1012, 1010, 1000, 2030, 1000, 2210, 2577, 1010, 1000, 2004, 2002, 2001, 2170, 2011, 2070, 1010, 2018, 1037, 3382, 2000, 2707, 4840, 1012, 2007, 2010, 2269, 1005, 1055, 2393, 2002, 5565, 1037, 3105, 2004, 1037, 4220, 4611, 8080, 2007, 1996, 2264, 2217, 2586, 2152, 2082, 2212, 1010, 2628, 2011, 1037, 2597, 2004, 1037, 2082, 14975, 1010, 1998, 2101, 2004, 1037, 2152, 2082, 2873, 1012, 2076, 2008, 2051, 1010, 2002, 2036, 2001, 2700, 2004, 1037, 13209, 1997, 1996, 5951, 1011, 22121, 2082, 2212, 1012, 2011, 2807, 1010, 2002, 2001, 5094, 2000, 2448, 2010, 5139, 1011, 2095, 1011, 2214, 2269, 1005, 1055, 3049, 2005, 2128, 1011, 2602, 1012, 2664, 2096, 15497, 2010, 2117, 2540, 5970, 1999, 2093, 2706, 1010, 1996, 6422, 11895, 16555, 10830, 2001, 5191, 2438, 2000, 3198, 2814, 1010, 2164, 2059, 1011, 2473, 2386, 3958, 26892, 3363, 1010, 2000, 2298, 2041, 2005, 2010, 2365, 1012, 1996, 2269, 2351, 2044, 5970, 1012, 2011, 2220, 2238, 1010, 1996, 10181, 4018, 1011, 1011, 3005, 2171, 2001, 2525, 6267, 2006, 1996, 10428, 1011, 1011, 2180, 2192, 6588, 1012, 2007, 1996, 13301, 1997, 2010, 2388, 1998, 2155, 1010, 1996, 2365, 5147, 4912, 2000, 2022, 2805, 2011, 1996, 2473, 2000, 2010, 2269, 1005, 1055, 2835, 2127, 1037, 2281, 2602, 2071, 2022, 2218, 1012, 11895, 16555, 10830, 3781, 1012, 2180, 2008, 2602, 1012, 2066, 2116, 2576, 24159, 1010, 2002, 6915, 2007, 1996, 7860, 1997, 3173, 2436, 1010, 2021, 2635, 2044, 2010, 2269, 1010, 11895, 16555, 10830, 3781, 1012, 1005, 1055, 21358, 7011, 3468, 3267, 3271, 2032, 2191, 1996, 6653, 1012, 1998, 2066, 2010, 2269, 1010, 2002, 18503, 2094, 1012, 2348, 11895, 16555, 10830, 5034, 1012, 2018, 2209, 7246, 1010, 1996, 2365, 6871, 2697, 11937, 14490, 1012, 6643, 2072, 2175, 2860, 1010, 7139, 11662, 1998, 3146, 2907, 1005, 7861, 2024, 11895, 16555, 10830, 3781, 1012, 1005, 1055, 21775, 1010, 2429, 2000, 4216, 2040, 2356, 2025, 2000, 2022, 2315, 1012, 1998, 1999, 2070, 12107, 1010, 2027, 2360, 1010, 2002, 1005, 1055, 2042, 2200, 5341, 1011, 1011, 7283, 3045, 1002, 2382, 1010, 2199, 2012, 2028, 2208, 1999, 1996, 4134, 1012, 1000, 2009, 1005, 1055, 1996, 5409, 2518, 2005, 2619, 2040, 1005, 1055, 2019, 26855, 1010, 1000, 2056, 1037, 2280, 2522, 1011, 7309, 1012, 1000, 2002, 1005, 2222, 2562, 11777, 2008, 2005, 1996, 2717, 1997, 2010, 2166, 1012, 1000, 1996, 3361, 25594, 11895, 16555, 10830, 3781, 1012, 1005, 1055, 12219, 2038, 22416, 2006, 2010, 2166, 2089, 2031, 2419, 2032, 1999, 2249, 2000, 5371, 2005, 3127, 2410, 10528, 1010, 2029, 3039, 2032, 2000, 4468, 18921, 20464, 2891, 5397, 2006, 2010, 3008, 1005, 10754, 2188, 1010, 2073, 2002, 2145, 3268, 2007, 2010, 9454, 2365, 1998, 2010, 2365, 1005, 1055, 2388, 1010, 2004, 2092, 2004, 6358, 3051, 1998, 2010, 2155, 1012, 1996, 10528, 15242, 1010, 2029, 11895, 16555, 10830, 3781, 1012, 2196, 2949, 1010, 3936, 2002, 12232, 1996, 4722, 6599, 2326, 2471, 1002, 3263, 1010, 2199, 1999, 3972, 2378, 15417, 3318, 7773, 1998, 12408, 1012, 2750, 2010, 13449, 1010, 2769, 3471, 1998, 6911, 1011, 3141, 2740, 3314, 1010, 11895, 16555, 10830, 3781, 1012, 5224, 1037, 4434, 2000, 1996, 7206, 1012, 2002, 2366, 3674, 3408, 2006, 2048, 2082, 7923, 1998, 2048, 3408, 2006, 1996, 2103, 2473, 1012, 1999, 2238, 1010, 2002, 2180, 2128, 1011, 2602, 2000, 1037, 2117, 2744, 2006, 1996, 2604, 1997, 22565, 2302, 2130, 1037, 12932, 1012, 1000, 2009, 1005, 1055, 6429, 2000, 2033, 2008, 2577, 2001, 2583, 2000, 4536, 2010, 2269, 1005, 1055, 5435, 22081, 2005, 2035, 2122, 3864, 1010, 1000, 6992, 17643, 2078, 2056, 1012, 1000, 2017, 1005, 2310, 2288, 2000, 2507, 2032, 4923, 2005, 2008, 1012, 1000, 2664, 2500, 2360, 2002, 2411, 15775, 25031, 2104, 1996, 3778, 1997, 2667, 2000, 2444, 2039, 2000, 1996, 6422, 11895, 16555, 10830, 1010, 3005, 2171, 4519, 2015, 1037, 2451, 2415, 1998, 4732, 2082, 1999, 1996, 2212, 1012, 1000, 2017, 1005, 1040, 2175, 2000, 2019, 2724, 1010, 1998, 2619, 2052, 4888, 2046, 1010, 1005, 2821, 1010, 2115, 3611, 2001, 2107, 1037, 2307, 3124, 1010, 1005, 1000, 7383, 1037, 2280, 2522, 1011, 7309, 2040, 2056, 1996, 27447, 2005, 1996, 2269, 3613, 2000, 2023, 2154, 1012, 1000, 2065, 2009, 2001, 2033, 1010, 2009, 2052, 2131, 2428, 13310, 8462, 1012, 1000, 2426, 2010, 2103, 2473, 17571, 1010, 11895, 16555, 10830, 3781, 1012, 3724, 2000, 3857, 1996, 2212, 1005, 1055, 2069, 2270, 5439, 2607, 1010, 1037, 11573, 7713, 1998, 13726, 5101, 4534, 1012, 2004, 12366, 1010, 2002, 2001, 26507, 2005, 5094, 2000, 5323, 1037, 5116, 2966, 9349, 1998, 2877, 1037, 2565, 2000, 13265, 2207, 5895, 2067, 2046, 2554, 1012, 2021, 2058, 1996, 2086, 1999, 2270, 2436, 1010, 14009, 2360, 1010, 11895, 16555, 10830, 3781, 1012, 5129, 2370, 2007, 2019, 5110, 4418, 2008, 9124, 2010, 2919, 14243, 1998, 3768, 1997, 9009, 1010, 6524, 6183, 2067, 1012, 2522, 1011, 3667, 2360, 2011, 1996, 2051, 2002, 2318, 2010, 2034, 2744, 2004, 12366, 1010, 2002, 7887, 6439, 1996, 16744, 2920, 1999, 8498, 28258, 1998, 2636, 1010, 2029, 4821, 5201, 2000, 2010, 22252, 1012, 17195, 3419, 11475, 11649, 1010, 1037, 3394, 6821, 1998, 11155, 2212, 1021, 7423, 2040, 4455, 2841, 11895, 16555, 10830, 3781, 1012, 1005, 1055, 1000, 2190, 8175, 1998, 5409, 6232, 1010, 1000, 3530, 2008, 2010, 20828, 1011, 1011, 2164, 2010, 9721, 2000, 2814, 1011, 1011, 2024, 2036, 2010, 21775, 1012, 2021, 2016, 2038, 4752, 2008, 2066, 1996, 10213, 4013, 4305, 9692, 2365, 1010, 2040, 5490, 13860, 4063, 2098, 2010, 2269, 1005, 1055, 12839, 2069, 2000, 3198, 2005, 1998, 2022, 4379, 17213, 1010, 11895, 16555, 10830, 3781, 1012, 2097, 4374, 1996, 2168, 1999, 2051, 1012, 1000, 7955, 3084, 12051, 1010, 1998, 2002, 2106, 1010, 1000, 2056, 1037, 7697, 2100, 1011, 7168, 3419, 11475, 11649, 1012, 1000, 2021, 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, 1996, 11721, 12494, 1998, 1045, 2994, 1999, 5377, 4807, 2802, 2087, 3134, 1999, 8069, 2057, 2064, 3613, 2000, 4503, 7882, 4784, 2046, 14036, 2434, 4180, 2005, 4958, 2140, 2831, 1012, 2070, 3134, 2024, 16480, 3600, 1011, 2440, 1997, 2466, 4784, 2138, 1997, 1996, 6918, 3267, 1997, 1996, 4239, 2223, 2029, 3084, 2256, 3105, 3621, 6082, 1012, 2060, 3134, 2057, 1521, 2222, 5247, 1996, 2489, 2051, 1999, 2090, 2256, 2440, 2051, 2154, 5841, 14513, 2075, 2256, 14332, 2058, 5875, 2466, 3210, 1999, 8069, 2057, 2064, 3613, 2000, 2191, 4958, 2140, 2831, 1996, 2190, 4239, 2223, 9927, 2105, 1516, 1037, 9927, 2367, 2013, 2500, 2007, 5161, 4898, 2040, 2031, 2844, 10740, 1010, 2019, 11973, 9927, 2062, 10990, 2084, 2074, 2115, 2448, 1997, 1996, 4971, 2674, 4311, 1010, 1998, 1037, 9927, 2008, 14067, 8068, 8290, 1999, 1996, 2433, 1997, 6594, 1010, 5981, 1998, 2451, 1012, 2096, 2256, 2293, 1998, 6896, 2005, 2374, 3464, 4895, 18900, 7690, 2004, 2009, 2566, 18249, 2015, 2000, 2060, 5426, 1999, 2256, 3268, 1010, 1996, 11721, 12494, 1998, 1045, 3745, 1037, 2293, 2005, 2116, 2060, 7570, 27982, 2164, 2143, 1010, 2694, 1010, 2808, 1998, 2759, 2189, 1012, 2009, 1521, 1055, 2007, 2008, 2197, 3037, 2008, 2057, 1521, 2310, 2787, 2000, 2079, 1037, 12596, 4106, 1006, 2005, 3768, 1997, 1037, 2488, 7655, 1007, 2090, 2374, 1998, 2189, 1012, 2062, 4919, 1010, 2065, 2035, 2322, 4239, 2223, 4184, 2020, 4996, 2030, 2189, 2967, 1010, 2029, 3924, 2052, 2027, 2022, 1998, 2339, 1029, 2096, 1996, 3267, 1997, 2023, 3720, 2003, 3832, 2000, 2022, 2062, 4569, 1998, 8183, 18660, 2084, 17826, 2030, 3809, 1010, 2045, 2097, 2022, 2242, 2000, 2022, 4227, 2013, 2049, 8417, 2004, 2009, 2566, 18249, 2015, 2000, 3056, 6991, 1010, 6459, 1998, 1996, 3563, 1998, 16124, 20852, 5876, 2057, 2035, 18661, 2013, 4184, 1999, 1996, 4239, 2223, 1012, 1996, 18539, 2097, 2022, 5041, 1999, 3267, 2004, 2027, 2566, 18249, 2000, 2129, 2119, 1996, 2252, 1998, 3063, 2031, 5028, 2536, 3787, 1997, 3769, 3226, 1999, 2119, 1996, 2866, 1998, 1996, 2163, 1012, 15316, 2135, 1010, 2065, 2017, 1521, 2128, 2025, 1037, 28223, 4239, 2223, 5470, 1998, 2017, 2031, 1037, 11519, 3716, 1997, 2759, 2189, 1010, 2017, 1521, 2222, 2059, 2855, 2022, 2583, 2000, 16462, 2115, 3716, 1997, 2189, 2000, 2059, 4553, 2242, 2055, 1996, 2322, 4239, 2223, 4184, 2057, 1521, 2222, 2022, 10537, 1012, 2004, 2467, 1010, 2514, 2489, 2000, 2681, 2115, 2219, 15690, 1010, 4301, 1998, 10740, 1999, 1996, 7928, 2930, 2917, 1012, 1011, 9433, 1027, 29270, 2225, 1516, 5744, 2004, 6953, 9433, 2024, 2012, 2037, 2190, 2043, 3048, 2830, 2004, 1037, 7268, 1012, 2037, 14967, 1998, 8144, 2191, 2068, 2028, 1997, 1996, 2223, 1521, 1055, 2190, 2096, 29270, 2225, 6468, 2714, 12955, 2004, 2019, 3063, 1012, 4235, 3427, 1010, 2411, 7861, 8898, 2021, 2196, 24473, 2094, 2011, 2216, 7161, 2000, 1010, 9433, 7861, 23684, 2172, 1997, 2054, 5099, 6154, 2332, 29270, 2225, 2515, 1999, 2189, 1012, 2225, 1010, 2030, 6300, 9351, 2100, 2004, 2002, 1521, 1055, 2062, 28734, 2124, 1010, 2003, 2036, 2012, 2010, 2190, 2043, 2216, 2105, 2032, 3693, 1999, 1996, 2283, 1012, 2005, 2742, 1010, 2006, 6300, 9351, 2100, 1521, 1055, 2047, 2201, 2026, 3376, 2601, 6389, 5913, 1010, 2225, 12342, 2015, 2006, 3162, 2035, 1997, 1996, 4597, 1998, 2439, 1999, 1996, 2088, 1010, 2119, 1997, 2029, 3444, 6368, 2107, 2004, 25439, 1998, 14753, 4921, 2121, 1006, 1996, 4074, 2299, 1998, 2990, 19863, 19603, 2063, 2000, 17015, 2099, 17235, 3089, 1007, 1010, 2096, 1996, 2201, 2993, 2036, 2950, 6108, 1011, 1062, 1010, 2198, 5722, 1010, 20773, 1998, 4845, 12731, 4305, 2000, 2171, 1037, 2261, 1012, 2043, 2119, 2024, 2012, 2037, 2190, 1010, 2027, 1521, 2128, 3811, 14036, 1010, 5956, 2100, 1998, 1037, 6569, 2000, 3422, 1012, 1011, 14327, 6992, 1027, 1996, 4534, 1516, 2065, 3505, 17451, 9631, 2023, 1010, 2002, 1521, 1055, 5391, 2000, 2022, 1037, 2978, 9364, 1012, 17451, 2003, 1996, 4167, 19339, 2369, 2759, 2866, 24665, 5575, 2063, 9680, 11018, 1996, 4534, 1010, 2003, 1037, 7987, 2819, 2879, 1010, 1998, 1037, 6484, 2103, 10129, 2034, 1998, 16097, 1012, 2021, 2096, 17451, 1521, 1055, 8884, 7368, 4682, 2007, 1996, 5132, 1010, 14327, 6992, 10825, 2033, 1997, 1996, 2785, 1997, 6315, 24468, 1998, 7381, 10299, 1996, 4534, 2031, 2272, 2000, 2022, 2124, 2005, 3432, 2138, 2027, 1521, 2128, 2747, 11539, 1997, 1037, 17768, 6415, 2177, 1997, 2402, 15608, 7161, 2000, 2424, 2037, 2126, 1516, 2025, 4498, 4406, 1996, 21989, 1999, 17451, 1521, 1055, 3041, 4042, 1012, 1011, 6484, 2103, 1027, 5013, 4974, 1516, 3622, 1010, 21425, 1010, 9836, 1010, 4895, 17699, 9072, 2374, 1013, 3082, 3384, 2008, 2064, 2411, 2335, 2681, 2017, 2007, 1996, 15989, 1997, 14978, 2015, 1012, 2292, 1521, 1055, 2227, 2009, 1010, 4074, 11338, 23057, 4095, 2038, 1996, 5132, 2652, 1996, 4239, 2223, 1521, 1055, 2087, 3517, 2374, 2096, 2037, 2783, 5767, 2173, 2597, 3464, 2055, 2004, 10990, 2004, 2008, 16709, 2006, 1996, 2187, 2217, 1997, 3393, 18879, 1521, 1055, 2227, 1012, 1011, 13934, 9819, 1027, 7570, 4140, 2666, 1004, 1996, 6271, 7529, 1516, 2028, 1997, 1996, 2048, 2020, 2069, 7882, 1999, 2786, 2096, 1996, 2060, 2028, 2001, 2069, 7882, 1999, 2786, 1012, 1045, 2085, 12134, 2000, 13934, 4599, 2096, 1045, 2036, 7949, 2026, 25805, 22717, 2015, 2000, 2216, 2261, 2041, 2045, 2040, 2145, 4952, 2000, 7570, 4140, 2666, 1012, 2144, 2037, 4239, 2223, 10911, 2004, 3966, 1999, 1996, 2807, 1011, 5345, 2161, 1010, 13934, 2031, 2736, 2004, 2152, 2004, 4369, 1998, 2004, 2659, 2004, 3708, 1012, 2096, 2037, 9591, 1999, 1521, 5585, 2001, 2460, 2973, 1516, 9819, 4370, 2091, 2005, 2069, 2048, 2086, 1516, 2027, 1521, 2310, 2069, 11398, 1037, 6049, 2173, 3926, 2144, 2746, 2067, 2039, 2035, 1996, 2096, 14861, 21766, 9102, 2038, 2012, 2560, 5632, 1037, 11519, 26303, 2004, 1037, 3948, 2406, 3063, 1012, 1011, 17444, 1027, 1996, 15978, 1516, 2320, 1037, 2316, 2040, 5451, 1996, 2163, 1998, 1996, 2866, 1010, 1996, 15978, 2031, 5357, 2185, 1999, 6217, 1010, 2065, 2069, 5399, 1010, 2664, 3961, 2019, 11757, 5024, 2316, 2172, 2066, 17444, 1521, 1055, 2783, 2110, 2043, 2027, 2081, 1996, 3697, 5376, 2013, 1996, 2528, 2000, 1996, 4239, 2223, 1012, 2588, 2037, 2034, 2412, 12116, 1999, 1996, 4239, 2223, 1010, 17444, 2031, 7622, 2947, 2521, 2023, 2161, 2004, 2027, 4133, 7891, 1012, 1996, 15978, 2036, 7622, 2588, 2037, 5508, 2006, 1996, 2502, 2754, 2043, 2027, 2207, 2037, 2085, 1020, 2595, 8899, 2834, 2201, 2980, 28554, 1999, 2432, 1012, 2178, 14402, 2090, 1996, 2048, 2024, 1996, 3655, 2013, 2029, 2027, 2119, 2655, 2188, 1012, 1996, 15978, 7940, 2013, 5869, 7136, 1999, 7756, 1010, 1037, 2103, 2066, 17444, 2029, 2003, 4321, 2128, 15204, 2102, 2588, 1996, 7538, 3068, 4193, 2009, 1012, 1011, 12118, 14237, 1027, 6796, 7227, 14530, 1516, 12118, 4599, 1010, 1045, 1521, 1049, 8103, 2075, 2017, 2039, 2182, 1012, 7227, 14530, 1010, 2320, 1037, 2266, 1997, 1037, 11771, 2879, 2316, 2038, 2085, 2357, 2046, 1037, 2990, 1997, 2035, 14279, 21751, 2004, 2019, 3364, 1006, 2156, 2104, 7227, 14530, 1521, 1055, 3674, 12116, 2015, 9936, 1055, 20554, 2030, 2010, 2836, 1999, 1996, 2230, 2143, 1996, 2591, 2897, 1007, 1010, 1037, 2092, 9768, 3948, 3063, 1998, 3243, 1996, 8033, 1012, 12118, 2320, 5839, 2000, 8501, 1998, 5754, 6977, 2035, 2216, 2077, 2068, 2021, 2031, 3728, 2357, 2046, 2028, 1997, 1996, 2223, 1521, 1055, 2087, 10990, 7866, 2780, 2104, 7291, 2522, 12844, 1012, 7227, 14530, 2003, 1996, 2785, 1997, 21751, 2040, 2003, 2467, 2559, 2000, 2488, 2370, 2096, 2009, 3849, 12118, 2003, 20319, 2104, 2522, 12844, 2040, 2036, 10220, 2000, 3961, 18373, 1012, 1011, 9295, 1027, 11113, 3676, 1516, 4467, 3769, 2177, 11113, 3676, 5451, 1996, 2557, 6093, 1998, 1996, 2088, 2005, 1037, 2261, 2086, 1999, 1996, 2397, 3963, 1521, 1055, 1998, 2220, 3770, 1521, 1055, 2004, 2028, 1997, 1996, 2087, 11088, 3144, 4490, 1999, 3769, 2189, 2381, 1012, 2037, 15514, 1010, 2550, 2614, 11211, 2007, 1996, 2204, 3504, 1997, 2372, 10424, 8524, 1048, 6038, 5620, 17713, 1998, 12943, 7159, 3270, 6904, 21593, 3683, 2290, 2081, 2068, 1996, 4958, 9956, 4168, 1997, 1996, 13433, 4095, 1010, 2058, 1011, 20783, 3769, 2614, 2008, 2052, 2175, 2006, 2000, 16083, 1996, 3315, 5957, 2076, 1996, 3150, 1521, 1055, 1012, 2043, 2845, 22301, 3142, 11113, 6444, 12303, 4156, 9295, 1999, 2494, 1010, 2002, 2205, 2052, 2022, 2920, 1999, 1037, 2177, 2008, 2052, 2574, 2022, 1996, 21103, 1997, 1996, 2717, 1997, 1996, 2088, 1012, 4443, 2046, 9295, 1521, 1055, 2225, 2414, 2188, 1997, 22469, 2958, 2001, 2574, 1996, 20930, 7281, 1999, 2237, 2004, 1045, 5674, 1037, 7281, 2000, 2019, 11113, 3676, 2265, 2052, 2036, 2031, 2042, 1999, 1996, 2397, 3963, 1521, 1055, 1012, 9295, 2574, 2180, 2067, 2000, 2067, 4239, 2223, 4486, 2104, 4560, 9587, 9496, 25311, 2080, 2040, 11113, 21716, 12303, 2716, 1999, 1998, 13433, 4095, 2574, 2018, 1037, 2047, 6210, 1012, 1011, 18022, 1027, 7247, 9389, 1516, 5752, 2310, 20791, 2038, 2419, 2028, 1997, 2637, 1521, 1055, 2087, 5024, 2600, 4996, 2005, 3174, 2086, 1012, 6153, 2011, 2019, 11757, 8884, 5470, 2918, 1010, 7247, 9389, 2031, 4510, 2018, 2000, 2689, 2037, 5220, 2614, 2144, 2901, 2096, 2204, 10929, 2380, 2038, 7431, 18022, 4429, 2036, 2005, 3243, 2070, 2051, 1010, 2144, 6527, 2000, 2022, 6635, 1012, 2204, 10929, 3464, 1037, 11951, 3346, 2007, 15665, 1997, 6180, 1010, 18022, 2180, 1521, 1056, 4119, 2005, 1996, 2223, 15933, 2574, 1010, 1998, 2585, 9587, 23147, 2038, 1996, 2000, 16020, 2229, 6540, 2664, 5399, 8084, 2023, 2095, 1012, 10655, 1010, 7247, 9389, 1521, 1055, 2087, 2759, 2420, 2024, 2092, 2369, 2068, 2664, 2027, 3961, 1037, 6540, 2600, 2316, 2007, 2204, 11174, 1012, 1011, 21703, 1027, 2198, 7573, 1516, 11951, 2214, 2252, 2040, 2196, 2125, 10497, 3087, 1010, 2377, 2037, 2188, 2399, 2012, 21232, 9151, 2284, 2379, 1996, 2314, 11076, 1998, 2031, 1037, 2843, 1997, 2137, 4599, 1012, 2123, 1521, 1056, 2122, 6459, 1997, 21703, 2614, 2066, 2242, 2017, 1521, 1040, 2963, 1999, 1037, 2198, 7573, 2299, 1029, 7543, 1996, 2137, 3220, 1011, 2299, 3213, 2320, 6369, 2055, 1037, 2314, 2030, 1037, 9151, 1010, 2134, 1521, 1056, 2002, 1029, 2096, 2002, 2196, 3764, 2041, 1997, 2735, 1010, 7573, 1521, 1055, 11463, 8261, 1010, 4201, 2067, 3267, 2081, 2032, 2137, 5154, 16664, 1012, 2198, 7573, 2001, 24188, 13295, 2011, 2010, 4599, 2664, 1999, 2035, 9826, 2001, 2055, 2004, 8699, 2004, 2027, 2272, 1012, 4092, 1997, 8699, 1010, 21703, 2031, 2081, 2009, 2037, 2843, 1999, 2166, 2000, 4009, 2004, 2116, 4239, 2223, 3503, 2004, 2825, 1012, 2061, 2521, 2023, 2161, 1010, 21703, 2031, 4567, 2702, 2041, 1997, 9171, 3503, 2029, 5927, 1996, 2414, 2252, 2074, 2041, 1997, 1996, 9591, 4224, 2138, 1997, 1037, 2488, 3125, 4489, 2084, 15598, 1012, 1011, 6220, 1027, 3960, 7758, 1516, 1996, 11555, 2052, 2022, 2521, 2205, 5793, 1997, 1037, 3601, 2182, 2061, 1045, 1521, 2310, 4217, 1996, 2630, 16550, 1997, 2137, 5154, 2189, 2000, 12826, 2000, 1006, 15835, 1007, 2394, 2374, 1521, 1055, 2087, 3181, 1998, 3144, 2252, 1012, 7188, 1045, 3362, 2005, 1037, 5177, 3861, 1997, 2593, 1010, 1045, 2424, 2870, 4873, 2379, 1996, 2682, 15885, 2304, 1998, 2317, 7758, 1997, 1996, 2397, 3438, 1521, 1055, 1010, 16360, 25890, 2007, 9907, 1999, 2192, 1010, 19724, 2159, 1998, 2606, 22154, 1999, 2420, 1012, 10655, 1010, 2043, 1045, 2485, 2026, 2159, 1998, 2228, 1997, 6220, 1010, 1045, 4372, 17084, 1996, 2647, 2452, 8783, 1010, 28786, 7419, 1998, 3021, 17137, 2243, 2135, 2419, 2217, 1997, 2420, 2908, 2011, 1012, 2339, 2003, 2023, 1029, 2339, 2079, 1045, 2025, 5482, 6220, 2007, 1037, 2062, 3522, 3690, 2030, 7758, 2004, 2002, 2003, 2651, 1029, 1996, 3437, 1024, 2119, 2024, 2120, 17605, 1998, 2097, 3497, 2196, 2022, 10349, 2004, 2027, 2020, 1999, 1996, 2627, 1012, 1011, 5087, 2103, 1027, 18128, 1516, 7929, 1010, 1045, 1521, 1049, 2635, 1996, 3733, 2126, 2041, 2182, 1010, 2021, 2064, 2017, 7499, 2033, 1029, 2348, 2027, 1521, 2128, 2085, 2053, 2936, 1037, 2316, 1010, 18128, 1010, 1999, 2037, 2154, 2020, 1996, 5221, 2316, 1999, 1996, 2088, 2440, 1997, 9987, 2007, 1996, 16290, 2000, 2674, 2009, 1012, 2103, 2122, 2420, 2031, 1037, 2714, 16290, 1516, 2502, 5247, 2545, 2559, 2000, 16152, 2563, 2651, 1010, 2059, 2885, 4826, 1010, 2628, 2011, 1996, 2088, 1012, 5525, 1010, 1996, 2280, 2372, 1997, 18128, 2024, 5294, 2103, 6793, 2029, 2003, 3114, 2438, 1996, 2048, 7141, 2362, 1012, 2044, 2035, 1010, 2007, 2119, 18128, 1998, 5087, 2103, 1010, 2087, 2514, 6118, 2028, 2126, 2030, 2178, 2096, 2261, 2024, 2187, 2007, 6151, 8586, 14097, 5346, 1012, 1011, 5087, 2142, 1027, 1996, 13249, 1516, 1037, 18785, 1997, 2394, 2374, 1998, 2004, 2590, 1997, 1037, 2316, 2004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2296, 5958, 1010, 6497, 2098, 2932, 12466, 1037, 2186, 1997, 2189, 1011, 3141, 7201, 9227, 2011, 2256, 5440, 3324, 1012, 2023, 2733, 1024, 2064, 2483, 16261, 2483, 10151, 1996, 3899, 1998, 2695, 22507, 22123, 12053, 13082, 24916, 7415, 1012, 3205, 1024, 10151, 1996, 3899, 1009, 7415, 10151, 1996, 3899, 10043, 2000, 2759, 6772, 1010, 1996, 2327, 3315, 6547, 1997, 2432, 2347, 1521, 1056, 1996, 5574, 1997, 16596, 24137, 2099, 5208, 1012, 2053, 1010, 1996, 18414, 28775, 4355, 2466, 2001, 1996, 5023, 4767, 1997, 10151, 1996, 3899, 1012, 2023, 17750, 2094, 14163, 4779, 3538, 2094, 2362, 2028, 1997, 1996, 6151, 19825, 3468, 3895, 1997, 1996, 2095, 1010, 1523, 8773, 1010, 1524, 2006, 2010, 12849, 10623, 6352, 2015, 13564, 1012, 2178, 2309, 1010, 1523, 6075, 1010, 1524, 1998, 2048, 1038, 1011, 3903, 2628, 2006, 12849, 8737, 4817, 2102, 1010, 2035, 16588, 2094, 1011, 2041, 2358, 25377, 2545, 1010, 1998, 1996, 12610, 3473, 2000, 1037, 17115, 6510, 1012, 10151, 1521, 1055, 6136, 1997, 1996, 5442, 1521, 1055, 1523, 12251, 1524, 2357, 2019, 2525, 4389, 2309, 2046, 2019, 2041, 1997, 2491, 3153, 10258, 16506, 11971, 1012, 1996, 2613, 20014, 27611, 2318, 2043, 15193, 2005, 1996, 28334, 1998, 2139, 5051, 5403, 5549, 15791, 1010, 1998, 2472, 14718, 7987, 2666, 2102, 1006, 2557, 4974, 1010, 2417, 2980, 20238, 23582, 1007, 2787, 2000, 3622, 1996, 2678, 2005, 1523, 8773, 1012, 1524, 2040, 2001, 2023, 3899, 1029, 5525, 2619, 2057, 1521, 2128, 2035, 2525, 5220, 2007, 1999, 2070, 3977, 1012, 2664, 1010, 1996, 4223, 19035, 1012, 2008, 2419, 2000, 3984, 2229, 1010, 1998, 7167, 1997, 2068, 1024, 6136, 3063, 4469, 8551, 3981, 7442, 1041, 7447, 12874, 1010, 20101, 2636, 3910, 3817, 4679, 1010, 6638, 11097, 11754, 1521, 1055, 5879, 5660, 1010, 2957, 1060, 1010, 8230, 2013, 1996, 28334, 1010, 1998, 12849, 8737, 4817, 2102, 1521, 1055, 2074, 2271, 12849, 7295, 19869, 1012, 12849, 8737, 4817, 2102, 4641, 1997, 2110, 2745, 14687, 1998, 13865, 29536, 8004, 2102, 2145, 4995, 1521, 1056, 3331, 1010, 1998, 4445, 2003, 3087, 2842, 2057, 1521, 2310, 10263, 1012, 2057, 2106, 6133, 2000, 10346, 8490, 2571, 1037, 3205, 3444, 2013, 1996, 16520, 8348, 2993, 1010, 2021, 2008, 2001, 2035, 1012, 2053, 15774, 1010, 2053, 12633, 9777, 1010, 2074, 2049, 5440, 2636, 1012, 2432, 1521, 1055, 2190, 6547, 2089, 2074, 9377, 1999, 2384, 1012, 10151, 1996, 3899, 2327, 2184, 2005, 2432, 1015, 1012, 2139, 5051, 5403, 5549, 1011, 1000, 5959, 1996, 4223, 1000, 1031, 1041, 7447, 12874, 3668, 6136, 1033, 1006, 20101, 1007, 2057, 13529, 2058, 3714, 7877, 2000, 15385, 2139, 5051, 5403, 5549, 1521, 1055, 9717, 4312, 1012, 2021, 2130, 2061, 1010, 2023, 2544, 1997, 1000, 5959, 1996, 4223, 1000, 2003, 3565, 2569, 1012, 2023, 3668, 2544, 9020, 2000, 2022, 11633, 2000, 1996, 2434, 1999, 1037, 2126, 2008, 3065, 2995, 2293, 1010, 1998, 2664, 2012, 1996, 2168, 2051, 2045, 2003, 1037, 28971, 3110, 1999, 1996, 14855, 12588, 2770, 5537, 2099, 3321, 3210, 1998, 21274, 6943, 28618, 2015, 1012, 1016, 1012, 5070, 11655, 2595, 2063, 1004, 5965, 6904, 28143, 1011, 1000, 14548, 28524, 1000, 1006, 27588, 1007, 2023, 8694, 5320, 1037, 4086, 3255, 2011, 4760, 2017, 1037, 14013, 4800, 18717, 13564, 7165, 2012, 1996, 2707, 2021, 2059, 2025, 15192, 2009, 2005, 1996, 2717, 1997, 2650, 1012, 2017, 3153, 2000, 2009, 1998, 2035, 1996, 2096, 1999, 2115, 2132, 2017, 2024, 12858, 2000, 2963, 1996, 13564, 7165, 2153, 1010, 2021, 2009, 2515, 2025, 2272, 1012, 1017, 1012, 11477, 13059, 1011, 1000, 24779, 1000, 1006, 26613, 2290, 4816, 1007, 1997, 2607, 2023, 8694, 2003, 2124, 2011, 3071, 1998, 2008, 2003, 2138, 2009, 2003, 2061, 12476, 1012, 2009, 2038, 1037, 2502, 5016, 17197, 24203, 1998, 2858, 7165, 1010, 2021, 2009, 2003, 1996, 5490, 10179, 13871, 13602, 1523, 16776, 27593, 16776, 2063, 27593, 1524, 2930, 2008, 2081, 2149, 5376, 1999, 12532, 1011, 7925, 2006, 1996, 3153, 2723, 28638, 1996, 5932, 2008, 2283, 2189, 2001, 2067, 1012, 1018, 1012, 16821, 2139, 13675, 8586, 2100, 1011, 1000, 3565, 19575, 1016, 1000, 1006, 24624, 2015, 1007, 2057, 2034, 2657, 2023, 2201, 1999, 1037, 2225, 2414, 3309, 2282, 1998, 2043, 2057, 2253, 2046, 1996, 9568, 3347, 2057, 2387, 2928, 7291, 2013, 2202, 2008, 1012, 2144, 2059, 1010, 2023, 2201, 3084, 2149, 2228, 1997, 9275, 1010, 8660, 2006, 1996, 2793, 1998, 4408, 6910, 18901, 2015, 1012, 1019, 1012, 1996, 5442, 1011, 1000, 2152, 2082, 5961, 1000, 1006, 10958, 17062, 1007, 2023, 2003, 1037, 4714, 22889, 16402, 1997, 1037, 2299, 1998, 1010, 2066, 1523, 14548, 28524, 1010, 1524, 2009, 2003, 9145, 2138, 2009, 18675, 2017, 1999, 2021, 2059, 2009, 14590, 2017, 3442, 2041, 2153, 1012, 24537, 10955, 1024, 1523, 2040, 4122, 2000, 2022, 6623, 1029, 2040, 4122, 2000, 2022, 4086, 1029, 1524, 1998, 10151, 1998, 1045, 2514, 2256, 2159, 2300, 2004, 2057, 3437, 1523, 2025, 2149, 2025, 2149, 999, 1524, 1996, 2069, 2518, 2000, 2079, 2003, 2000, 2128, 11101, 1998, 2377, 2009, 2058, 2153, 1998, 2153, 1012, 1020, 1012, 1996, 5442, 1011, 1000, 2016, 1521, 1055, 2383, 1037, 3336, 1000, 1006, 10958, 17062, 1007, 2013, 1996, 2201, 2784, 7659, 1010, 2023, 2299, 2003, 1037, 5440, 2005, 2149, 1012, 2009, 2003, 1996, 13677, 1523, 2339, 2347, 1521, 1056, 1045, 2409, 1029, 1524, 2029, 27304, 2015, 2007, 2107, 6778, 1521, 1055, 1011, 22364, 2008, 2009, 3084, 2149, 6314, 2008, 2057, 6807, 2023, 1999, 9731, 1012, 2005, 1037, 2096, 2085, 1996, 2811, 2038, 2042, 3038, 2008, 1996, 5442, 2097, 2022, 3565, 4121, 1012, 2057, 2145, 2903, 2023, 1010, 1998, 1996, 2936, 2009, 3138, 1010, 3383, 1996, 7046, 2027, 2097, 2022, 1012, 1021, 1012, 16360, 7317, 10288, 7534, 1024, 2189, 2013, 1996, 4035, 2557, 27385, 8395, 1006, 4035, 1007, 2256, 2767, 6609, 2435, 2149, 2023, 2201, 2044, 2057, 2035, 3427, 1037, 4516, 2055, 1996, 4035, 2557, 27385, 8395, 1012, 1996, 2557, 27385, 8395, 3024, 2172, 1997, 1996, 2189, 1998, 6991, 2005, 2329, 2547, 2076, 1996, 1521, 20341, 1010, 1521, 17549, 1998, 1521, 16002, 1012, 2172, 1997, 1996, 8395, 1521, 1055, 2220, 4816, 2189, 2001, 2081, 2077, 2045, 2020, 22211, 1998, 2109, 6823, 1011, 11867, 10415, 2075, 5461, 1012, 10151, 1998, 1045, 2424, 2023, 15180, 1011, 18988, 1012, 1022, 1012, 10768, 7389, 2278, 1011, 1000, 2748, 2909, 1045, 2064, 13076, 1000, 1031, 2745, 14687, 6136, 1033, 1006, 12849, 8737, 4817, 2102, 1007, 2025, 9975, 2013, 2432, 1010, 2062, 3606, 7699, 2494, 1010, 2021, 2023, 2501, 2001, 2200, 2307, 2005, 2149, 1999, 2432, 1010, 2009, 2003, 1996, 3114, 2057, 2359, 2000, 2147, 2007, 12849, 8737, 4817, 2102, 1012, 1996, 8694, 2003, 5931, 1998, 13076, 1006, 2004, 2069, 2745, 14687, 2064, 2022, 1007, 1998, 2664, 2009, 2003, 4408, 2007, 27451, 1998, 15958, 6388, 2007, 2049, 18157, 10472, 1043, 15909, 11714, 18381, 2015, 1998, 2049, 21817, 1011, 21216, 22211, 1012, 2057, 2024, 5962, 2000, 2009, 2085, 1998, 2009, 4165, 2066, 2009, 2038, 2613, 12328, 29552, 2075, 1999, 1996, 4281, 1012, 1023, 1012, 1996, 28334, 1011, 1000, 3057, 1000, 1006, 2201, 2544, 1007, 1006, 28712, 5633, 1007, 2057, 2467, 3866, 1996, 28334, 1998, 2057, 12254, 2000, 2022, 3039, 2000, 6136, 2023, 8694, 1012, 2057, 2387, 1996, 28334, 2377, 1999, 2432, 1998, 2027, 2020, 2004, 3928, 2004, 2412, 1006, 3272, 3389, 13238, 2001, 2025, 2045, 1012, 3389, 13238, 2003, 10151, 1521, 1055, 5440, 2007, 2010, 1521, 17233, 13076, 5613, 1007, 1012, 2184, 1012, 26680, 29548, 1011, 2444, 2057, 2064, 1521, 1056, 2228, 1997, 1037, 7891, 8694, 2005, 2256, 3673, 2061, 2057, 2024, 5128, 2023, 4164, 2004, 2256, 2197, 4443, 1012, 2023, 2001, 2256, 2034, 2051, 2000, 2156, 26680, 29548, 2444, 1998, 2057, 2187, 2007, 2256, 15076, 2898, 1999, 20006, 2138, 1996, 2265, 2001, 2061, 6429, 1024, 1996, 26749, 1010, 1996, 4597, 1010, 1996, 2614, 1010, 1996, 4823, 1012, 2044, 1010, 2057, 2018, 13017, 7975, 1012, 7415, 2123, 1521, 1056, 2614, 2066, 1037, 2410, 1011, 2095, 1011, 2214, 2316, 1012, 2631, 1999, 2826, 2007, 1996, 1021, 1524, 1000, 20675, 1010, 1000, 1996, 2177, 2038, 2207, 2698, 2440, 1011, 3091, 4042, 2144, 1010, 2169, 2028, 9391, 4406, 2049, 8646, 1012, 2027, 5064, 9279, 1037, 18295, 2000, 2037, 2614, 2004, 2027, 3613, 2000, 7523, 2047, 3971, 2000, 2377, 2037, 5693, 1012, 2023, 2095, 1521, 1055, 2648, 3553, 7906, 2007, 1996, 4323, 1010, 2004, 7871, 19960, 10105, 2056, 1999, 2023, 2733, 1521, 1055, 3319, 1006, 3191, 2009, 2182, 1007, 1012, 2112, 1997, 1996, 3595, 21774, 3504, 2000, 2022, 7415, 1521, 1055, 5510, 1999, 2189, 1516, 2009, 1521, 1055, 6581, 1012, 3782, 5922, 1010, 2957, 5922, 1010, 20243, 2829, 1998, 4459, 6060, 2571, 2165, 2112, 1999, 2023, 2733, 1521, 1055, 3205, 1012, 1996, 3241, 3062, 2545, 2586, 2334, 26267, 1011, 24453, 1006, 16215, 18367, 5453, 1007, 1012, 1045, 3342, 2026, 4416, 1011, 5079, 9454, 2969, 2667, 2000, 4863, 1996, 2316, 2171, 2000, 2116, 1037, 2022, 7606, 2098, 2501, 3573, 7805, 1012, 2716, 2000, 2026, 3086, 2043, 2198, 14113, 22416, 1996, 4297, 10497, 17302, 1000, 2998, 2482, 1000, 2006, 2019, 4895, 13203, 5051, 11873, 2088, 1012, 2056, 2650, 3084, 2009, 4276, 1996, 4211, 3976, 2894, 1998, 2023, 6948, 2441, 2039, 1037, 2878, 2088, 1997, 6881, 2791, 2005, 2033, 1011, 3103, 2103, 3057, 1010, 1045, 1005, 1049, 2559, 1999, 2115, 3257, 1012, 1011, 3782, 12532, 21848, 1011, 4487, 2175, 3769, 1006, 5931, 3119, 1007, 1045, 2411, 3913, 2067, 1999, 2793, 2012, 2305, 1998, 3046, 1998, 4687, 2054, 1996, 3109, 12532, 21848, 2020, 2652, 2012, 2007, 2023, 2201, 1012, 1996, 2316, 2018, 3041, 2042, 2019, 4621, 1521, 17233, 10651, 2006, 1996, 6569, 2407, 2630, 16550, 1012, 2477, 2904, 2007, 1996, 1523, 10945, 2197, 2614, 1524, 2260, 1000, 2043, 7334, 2020, 3333, 2000, 2022, 2999, 2011, 7099, 2869, 1012, 2059, 2234, 4487, 2175, 3769, 1011, 1996, 2316, 9428, 3228, 2039, 3294, 2006, 3769, 5090, 1998, 2612, 7161, 2000, 23801, 2037, 2219, 9456, 2007, 1037, 19359, 1997, 3013, 2039, 5005, 2496, 2000, 11865, 13213, 2098, 1011, 2039, 2848, 8103, 3321, 12735, 1998, 1996, 7143, 29479, 2955, 1997, 1037, 2158, 5667, 9421, 2125, 2007, 1037, 2406, 2525, 5825, 2875, 13121, 1012, 2085, 1010, 1045, 2031, 2000, 2191, 2019, 9634, 1012, 2043, 1045, 2034, 2657, 2023, 2501, 1045, 6283, 2009, 1012, 2009, 2134, 1005, 1056, 2191, 2151, 3168, 1012, 2009, 2145, 3084, 2053, 3168, 2000, 2033, 2651, 2021, 2085, 1045, 2293, 2009, 2672, 2005, 2008, 3114, 1012, 2009, 2001, 7782, 1010, 11655, 4095, 1010, 12392, 1010, 5667, 4854, 1010, 9652, 2559, 2005, 2242, 2047, 1012, 4487, 21490, 1037, 2088, 1997, 27864, 4634, 2091, 5108, 1010, 2955, 21323, 2083, 1037, 2454, 3896, 2073, 1996, 2614, 1997, 26986, 2387, 2075, 3640, 6333, 1012, 1996, 2069, 2613, 2978, 1997, 8531, 2006, 1996, 2201, 3310, 2006, 1996, 2345, 2650, 1523, 24629, 2083, 4586, 1524, 2029, 2003, 2716, 2000, 2019, 18772, 2203, 2011, 1037, 3405, 1997, 1037, 2455, 27266, 2100, 4129, 1996, 2316, 2000, 2644, 2652, 2012, 2014, 9047, 2138, 2016, 2987, 1005, 1056, 2066, 1996, 2189, 1012, 1516, 2957, 3165, 5181, 1011, 1996, 5334, 2501, 1006, 8011, 2103, 1007, 1037, 20010, 8162, 2013, 1996, 5156, 4925, 2005, 1037, 2402, 14804, 1997, 3541, 2167, 3575, 1012, 1996, 12727, 27106, 2015, 1997, 29482, 1010, 15451, 22287, 2271, 1998, 17235, 2669, 12303, 1011, 2013, 2054, 1045, 2064, 8587, 1010, 1037, 2186, 1997, 22390, 4487, 25572, 9864, 10445, 1010, 10148, 2013, 1996, 28658, 2011, 4907, 12849, 13465, 2480, 4801, 1997, 8011, 2103, 1010, 12800, 1521, 6109, 1012, 2027, 1521, 2128, 23911, 2075, 1996, 2829, 5132, 2157, 2182, 1529, 12664, 12802, 1012, 5440, 2774, 1516, 1523, 1996, 3748, 9486, 1010, 1524, 1523, 2017, 2064, 1005, 1056, 3404, 2009, 2000, 3961, 1012, 1524, 1516, 4459, 3419, 18074, 1011, 2304, 7945, 1006, 2479, 1007, 2023, 2201, 2003, 2411, 2641, 2019, 3734, 5510, 2011, 18074, 20305, 2021, 5819, 2009, 1005, 1055, 2995, 2008, 2009, 5681, 16079, 2015, 2006, 4895, 9863, 8189, 3468, 1010, 2009, 2003, 1996, 2785, 1997, 4895, 9863, 8189, 3468, 2008, 2038, 2062, 1999, 2691, 2007, 2019, 2471, 24257, 5165, 2084, 1037, 7570, 14343, 15482, 2271, 15240, 2140, 3325, 1012, 1996, 2537, 2006, 2023, 2201, 2003, 10392, 3973, 6388, 2007, 2035, 11901, 1997, 6881, 8840, 1011, 10882, 4165, 2183, 2006, 7249, 1010, 13675, 25508, 2075, 5693, 1010, 13164, 9864, 2094, 2955, 1010, 2158, 17125, 2108, 3498, 1010, 2111, 2108, 24025, 2408, 10789, 15097, 6963, 2046, 6943, 23615, 2015, 1010, 1998, 1996, 9778, 1997, 4994, 2520, 25991, 2941, 1000, 4823, 1000, 2738, 2084, 1000, 3331, 2058, 1000, 1037, 3538, 1997, 2189, 1012, 2066, 3581, 1005, 1055, 3748, 2086, 1010, 5650, 1010, 1998, 2668, 2769, 1010, 1996, 2774, 2006, 2023, 2201, 15821, 1037, 2601, 1998, 27707, 8867, 6925, 1012, 2009, 1005, 1055, 2066, 1996, 3428, 24287, 1998, 7632 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2112, 5659, 1011, 2093, 1997, 1996, 1000, 8040, 27766, 12879, 18940, 2933, 1000, 2186, 1012, 4633, 1024, 3500, 1011, 2225, 8494, 1010, 2264, 8494, 6420, 4372, 6528, 2618, 2735, 2058, 2000, 1996, 6420, 4372, 6528, 2618, 2005, 2037, 2735, 1012, 3607, 2038, 2085, 2018, 2000, 18094, 2048, 2844, 2430, 2373, 4337, 12335, 1999, 1037, 5216, 1010, 2096, 1996, 4840, 3059, 6956, 2031, 2525, 2042, 8534, 2013, 7866, 25199, 1998, 2031, 2000, 7392, 2005, 2667, 2000, 2191, 2132, 4576, 2167, 2083, 1996, 3697, 5931, 9291, 1012, 1996, 2329, 2106, 17820, 2019, 5274, 1997, 4977, 2021, 2525, 2288, 1037, 2235, 6703, 4451, 2013, 2009, 1012, 1998, 1996, 6514, 2015, 9906, 4025, 2200, 11542, 2000, 2707, 2151, 2047, 5805, 2015, 1010, 2750, 1996, 2235, 6161, 8427, 4363, 1037, 5399, 6091, 3239, 2006, 2068, 1012, 2025, 2172, 2293, 2005, 1996, 12513, 1012, 1037, 2261, 4332, 3283, 1010, 2320, 2037, 2390, 2018, 1037, 2261, 4332, 2000, 14171, 2013, 2108, 2006, 1996, 5805, 2000, 3639, 1010, 2009, 2246, 2066, 2027, 2020, 2383, 2070, 3112, 1999, 18068, 2091, 1996, 2430, 4204, 5274, 1012, 2037, 2219, 6409, 2150, 6133, 3085, 1010, 2096, 1996, 2446, 1998, 6161, 8664, 2318, 2000, 3623, 2000, 1996, 2391, 1997, 2037, 6409, 2000, 6110, 6463, 3352, 4788, 2084, 1996, 12513, 1005, 1012, 2008, 2965, 1996, 2845, 2390, 2001, 3173, 6706, 1010, 6168, 1996, 2430, 4204, 8749, 2020, 2893, 3760, 1012, 1996, 28439, 1999, 3327, 2031, 3478, 2000, 2191, 2151, 5082, 1999, 2037, 4491, 1012, 6854, 2005, 1996, 12513, 1010, 2008, 9874, 3849, 2000, 2031, 2357, 2105, 2058, 1996, 2627, 2048, 4332, 1012, 1996, 3497, 12731, 14277, 14778, 2015, 4786, 2008, 1006, 2060, 2084, 2026, 8235, 11593, 5605, 1997, 2607, 1007, 2024, 1996, 4443, 1997, 4977, 2006, 1996, 2217, 1997, 1996, 2430, 4204, 1010, 1998, 1996, 2203, 1997, 1996, 4736, 2090, 1996, 2329, 1998, 7074, 1999, 2054, 2815, 1997, 1996, 2645, 2005, 2605, 1012, 1996, 3466, 1997, 1996, 12896, 2003, 14958, 1024, 2085, 2008, 2027, 2031, 2468, 4330, 17071, 11187, 1010, 2027, 2031, 3013, 2125, 1996, 2329, 2013, 2108, 2583, 2000, 7115, 6067, 2000, 1996, 12513, 2083, 1996, 2304, 2712, 1012, 1999, 2208, 3408, 1010, 2023, 2965, 1996, 12513, 4558, 2048, 6110, 2685, 1997, 1996, 7426, 2027, 2020, 2893, 2169, 2735, 1012, 2008, 2003, 1996, 5662, 1997, 3974, 2028, 3176, 1016, 1011, 1018, 1011, 1017, 3939, 3131, 2566, 2735, 1012, 1996, 2203, 1997, 3161, 17601, 1999, 2605, 2965, 1996, 5508, 1997, 1037, 3278, 2193, 1997, 2152, 3737, 1998, 2645, 15015, 4337, 1998, 4893, 3197, 2013, 1996, 2225, 1012, 1998, 2045, 2024, 2145, 2062, 2006, 1996, 2126, 1010, 2004, 2065, 2477, 4694, 1005, 1056, 2919, 2438, 1012, 2061, 1996, 2627, 2048, 2706, 1006, 2169, 2735, 2003, 1037, 3204, 1999, 4409, 1997, 2257, 1007, 2031, 2464, 1996, 3284, 2193, 1997, 2845, 6409, 1999, 2028, 2735, 1010, 1998, 2096, 1996, 2279, 2735, 3092, 2007, 8491, 2845, 6409, 1010, 2027, 2145, 21100, 24901, 5669, 1996, 12513, 1005, 6110, 3446, 1998, 2006, 2327, 1997, 2008, 1996, 2430, 4204, 2439, 2069, 1037, 2309, 3131, 2008, 2972, 2461, 1012, 3383, 1996, 5409, 3696, 1997, 2035, 2003, 2008, 1996, 28439, 2180, 2119, 2002, 20156, 2027, 4457, 2197, 2735, 1010, 1998, 2302, 3974, 2151, 3197, 999, 2000, 2191, 5609, 4788, 1010, 8199, 2001, 4110, 2023, 3204, 1010, 2029, 2003, 2178, 2718, 2000, 1996, 12513, 6110, 3446, 1012, 1006, 2169, 2439, 2103, 13416, 1037, 3842, 1005, 1055, 6110, 3446, 2011, 2028, 2391, 1012, 1007, 1996, 12513, 2079, 2025, 3535, 2151, 4675, 1011, 4491, 2023, 2735, 1012, 2763, 1037, 2204, 2801, 1010, 2004, 4983, 2028, 2064, 3992, 2152, 10238, 4491, 1010, 2028, 2411, 12386, 2062, 3197, 2043, 7866, 2084, 1996, 8291, 2515, 1012, 2026, 5656, 2023, 2208, 2096, 2006, 1996, 5600, 1999, 1996, 2264, 2001, 2000, 2069, 2886, 2043, 7078, 4072, 1012, 4363, 2026, 6409, 2012, 1037, 6263, 2001, 2763, 1996, 5221, 5387, 1999, 2025, 3974, 2151, 3655, 2000, 1996, 12513, 2096, 1996, 7074, 2020, 4208, 2006, 7866, 2605, 1012, 1996, 2845, 5656, 2023, 2735, 2003, 2000, 2191, 1996, 2279, 2461, 1997, 4099, 4491, 2062, 3697, 1012, 2027, 2079, 2023, 2011, 3048, 2037, 23936, 2830, 2000, 6039, 1996, 16680, 1998, 3623, 1996, 3616, 1997, 12534, 11210, 2027, 2064, 1010, 1998, 2130, 4139, 2067, 1996, 2240, 2185, 2013, 8199, 2000, 5547, 1996, 2193, 1997, 2002, 20156, 2027, 2342, 2000, 6985, 1012, 2008, 2097, 2191, 2009, 2062, 3697, 2005, 2033, 1010, 2004, 1996, 2430, 2373, 2447, 1010, 2000, 2131, 2152, 10238, 4491, 2004, 1996, 2240, 2003, 3442, 2121, 1010, 2021, 2009, 2515, 2012, 2560, 2131, 2033, 2028, 2002, 2595, 3553, 2000, 22451, 1011, 5507, 4492, 6711, 2005, 2489, 1012, 11847, 22451, 1011, 5507, 4492, 6711, 2003, 3497, 1996, 2087, 3278, 6234, 7863, 2005, 1996, 2430, 4204, 1010, 2004, 2025, 2069, 2515, 2009, 2812, 2178, 6110, 2391, 3279, 2005, 1996, 12513, 1010, 2021, 2004, 1037, 2417, 1011, 11089, 7863, 2103, 1010, 2009, 2052, 2507, 1037, 2028, 2391, 16913, 18095, 2000, 1996, 8023, 4443, 9372, 2005, 1996, 17581, 8699, 2015, 2000, 3693, 1996, 2430, 4204, 1012, 1045, 2572, 5327, 2000, 8054, 8063, 1010, 5483, 1010, 1998, 19379, 13241, 2000, 3693, 1996, 2430, 4204, 1012, 2004, 2017, 2064, 2156, 1999, 1996, 3861, 1010, 1996, 2845, 2390, 2003, 2025, 2583, 2000, 2031, 25845, 2094, 20829, 2035, 2247, 1996, 2240, 1012, 1996, 4555, 9991, 2075, 1006, 2648, 1997, 3992, 3197, 1007, 2003, 2093, 4337, 3197, 1006, 3939, 1007, 4606, 2028, 4893, 1006, 4606, 2028, 6859, 4893, 3131, 2006, 2327, 1997, 2008, 2065, 2017, 2024, 5341, 2438, 2000, 2022, 1037, 2406, 2007, 6859, 4893, 1031, 2762, 4152, 2048, 1010, 1998, 2605, 4152, 2028, 2021, 2025, 2127, 2397, 1999, 1996, 2208, 1033, 1007, 1012, 1996, 12513, 2031, 2116, 2002, 20156, 2007, 2069, 2048, 1998, 2130, 2028, 4337, 3131, 1012, 14185, 16387, 2064, 2069, 2175, 2004, 2152, 2004, 1996, 2193, 1997, 4337, 3197, 1999, 1037, 2002, 2595, 1012, 2065, 1996, 2327, 4675, 1999, 1037, 2002, 2595, 2003, 1037, 14185, 1006, 3197, 2104, 2019, 4372, 7913, 12680, 3672, 4675, 2131, 1996, 5600, 6781, 2021, 3685, 2886, 1010, 2096, 3197, 2006, 2327, 2064, 2886, 2021, 2053, 5600, 6781, 1007, 1010, 2059, 1996, 2193, 2006, 2009, 4136, 2017, 2129, 2116, 3939, 3197, 2024, 1999, 1996, 2002, 2595, 1010, 2007, 1037, 2825, 4893, 3131, 1999, 2804, 1012, 2065, 1996, 2430, 4204, 2064, 3613, 2000, 1999, 29301, 2062, 8664, 2006, 1996, 12513, 2084, 2027, 2064, 5672, 2169, 2735, 1010, 2059, 2477, 2097, 2707, 2000, 2991, 4237, 2200, 2855, 1012, 2926, 2065, 1045, 2064, 2079, 2242, 2000, 21255, 1996, 2392, 1012, 1012, 1012, 1012, 1996, 2329, 5274, 1997, 4977, 2018, 2049, 2034, 2275, 5963, 2471, 3202, 1012, 1999, 4409, 1997, 2257, 1010, 5037, 3197, 2024, 2025, 3039, 2000, 4607, 1996, 3509, 2002, 2595, 1010, 2061, 1996, 6420, 4372, 6528, 2618, 2131, 2000, 18445, 2005, 2489, 1012, 2023, 2003, 2000, 26633, 1996, 2755, 2008, 4977, 2018, 2205, 2116, 2825, 16182, 23536, 2685, 2000, 6985, 7919, 1010, 2096, 2069, 5052, 1037, 4714, 4664, 1997, 4977, 2006, 1996, 4949, 2604, 1012, 2174, 1010, 1996, 5037, 3197, 2024, 3039, 2000, 2886, 2008, 2002, 2595, 1010, 1998, 1037, 2659, 2135, 1015, 1011, 1015, 1011, 1018, 5945, 3131, 3266, 2000, 11027, 1037, 2329, 1018, 1011, 1020, 1011, 1018, 3939, 2007, 1037, 2659, 1011, 10238, 2886, 2302, 2130, 2108, 5892, 2993, 1012, 1996, 2329, 1010, 2348, 2383, 3369, 1999, 3997, 2007, 24821, 6020, 3197, 1010, 2024, 1999, 1037, 2200, 3653, 10010, 6313, 2597, 1012, 2383, 2069, 2028, 2002, 2595, 2965, 2027, 3685, 7822, 1999, 1996, 2553, 1997, 1037, 9703, 7941, 3550, 2765, 2076, 4337, 1012, 2023, 2965, 1037, 3131, 2442, 2022, 5892, 1012, 1996, 5037, 3197, 2031, 2686, 2000, 7822, 1010, 2061, 2008, 4473, 2068, 2000, 4468, 6409, 1999, 2553, 1997, 9703, 7941, 3989, 4337, 3463, 1012, 2036, 1010, 1996, 3627, 2005, 4491, 2012, 2625, 2084, 1015, 1024, 1015, 10238, 2003, 2008, 2027, 2024, 5845, 2004, 1015, 1024, 1015, 4491, 2007, 1037, 4555, 1011, 1015, 2852, 2213, 1010, 2053, 3043, 2129, 4895, 26657, 2094, 1996, 10238, 1012, 3176, 5600, 16913, 28295, 1010, 2107, 2004, 9291, 2030, 19874, 1010, 2036, 6611, 1010, 2021, 1996, 2329, 2074, 5565, 1010, 1998, 2009, 3138, 2093, 4332, 2000, 3857, 2438, 19874, 2005, 2093, 4337, 3197, 999, 2061, 1037, 5037, 1015, 1011, 1015, 1011, 1018, 5945, 3131, 7866, 1996, 2329, 9991, 1997, 2093, 1018, 1011, 1020, 1011, 1018, 3939, 4606, 1037, 1017, 1011, 1017, 1011, 1017, 4893, 3131, 1010, 2005, 10238, 1997, 1015, 2000, 2538, 1010, 2003, 10395, 2004, 1037, 1015, 1024, 1015, 10238, 2886, 2007, 1037, 1011, 1015, 2852, 2213, 1012, 2023, 3957, 1996, 5945, 3131, 1037, 2753, 1003, 3382, 1997, 2893, 1037, 2765, 2008, 11027, 2015, 2028, 1997, 1996, 10473, 2329, 3197, 1010, 2096, 2069, 26875, 2049, 2219, 9614, 3943, 1003, 1997, 1996, 2051, 1010, 2004, 2009, 2064, 7822, 2065, 9703, 7941, 3550, 1012, 2025, 2000, 5254, 1010, 1037, 1015, 1011, 1015, 1011, 1018, 5945, 3131, 2069, 5366, 1015, 6110, 2391, 1010, 2096, 1037, 1018, 1011, 1020, 1011, 1018, 3939, 5366, 1018, 6110, 2685, 1012, 2009, 1005, 1055, 1037, 2053, 1011, 4167, 2121, 2005, 1996, 12896, 1012, 1999, 2151, 2553, 1010, 1996, 2329, 2763, 2442, 5382, 2008, 1996, 15863, 5037, 3197, 3564, 2104, 2037, 19874, 2024, 2062, 2084, 2438, 2000, 4652, 4621, 4491, 1012, 1996, 2126, 4409, 1997, 2257, 26633, 2015, 1059, 9148, 4337, 1010, 1996, 4337, 7251, 2024, 2881, 2000, 2765, 1999, 6409, 2006, 2119, 3903, 3272, 2012, 2200, 2152, 10238, 1010, 1998, 3939, 3197, 2035, 2031, 3020, 3639, 5876, 2084, 2886, 5876, 1012, 1037, 1018, 1011, 1020, 1011, 1018, 3939, 2038, 1018, 2886, 1010, 1020, 3639, 1010, 1998, 1018, 2929, 5876, 1012, 2061, 1037, 1018, 1011, 1020, 1011, 1018, 7866, 1037, 1016, 1011, 1018, 1011, 1017, 4491, 2012, 1018, 1024, 1018, 1027, 1015, 1024, 1015, 10238, 1010, 2029, 2003, 1996, 7290, 10238, 2006, 1996, 4337, 2795, 1010, 2007, 1996, 5056, 2005, 1996, 8291, 1010, 2926, 2043, 1996, 17346, 2038, 2053, 7822, 2021, 1996, 8291, 2515, 1012, 2151, 3112, 1999, 4977, 2052, 5478, 4689, 2204, 6735, 2006, 7143, 4491, 1010, 2030, 2070, 2126, 2000, 2131, 2062, 3197, 2045, 1012, 1996, 2329, 2191, 2053, 5829, 2030, 4491, 1999, 4977, 1012, 2027, 2079, 3857, 1996, 2034, 2504, 1997, 19874, 2295, 1012, 3304, 2003, 1996, 2028, 2392, 2008, 1996, 6420, 4707, 2038, 2042, 2437, 2151, 5082, 2006, 1012, 2043, 3304, 3402, 2587, 1996, 6420, 4707, 2048, 4332, 3283, 1010, 1996, 2430, 4204, 2018, 2025, 4810, 2151, 13345, 2114, 2008, 6061, 1012, 2008, 2965, 2008, 1996, 16773, 2288, 2000, 2275, 2039, 2247, 1037, 3675, 2022, 2890, 6199, 1997, 4099, 3197, 999, 15798, 2005, 1996, 2430, 4204, 1010, 2027, 2131, 2000, 2693, 2034, 2169, 2735, 1010, 6168, 1996, 8023, 4443, 9372, 4148, 2012, 1996, 2200, 2203, 1997, 2169, 3204, 1010, 2044, 2119, 3903, 2031, 2579, 2037, 2735, 1012, 2096, 2762, 1998, 3304, 2106, 6133, 2000, 2131, 2438, 3197, 2045, 2000, 4047, 25199, 1998, 1996, 2737, 2770, 2167, 6464, 1010, 1996, 5931, 9291, 2279, 2000, 5288, 2003, 2145, 2330, 1010, 1998, 2038, 2445, 1996, 16773, 2070, 6695, 2000, 5083, 1010, 1998, 2130, 5147, 2886, 1012, 1996, 4443, 1997, 3304, 2515, 2507, 1996, 6420, 4372, 6528, 2618, 2062, 7047, 1012, 2025, 2069, 2515, 2009, 2330, 2039, 1996, 3059, 2392, 1998, 5587, 1996, 3059, 2390, 1010, 2021, 7238, 2633, 4150, 7801, 1012, 1996, 2530, 6420, 4707, 4204, 2024, 2025, 3039, 2000, 4685, 3987, 4506, 1999, 1996, 23400, 2712, 2127, 3304, 8039, 1996, 2162, 1012, 2085, 2027, 2064, 4604, 3197, 2000, 2954, 4077, 1996, 6514, 2015, 2083, 1996, 8831, 1997, 25022, 7629, 6460, 1998, 4241, 20409, 6844, 1012, 1996, 2152, 3737, 2329, 2030, 2137, 3197, 2052, 2022, 3243, 1037, 12992, 2000, 1996, 6514, 2015, 1010, 1998, 7480, 1996, 6061, 1997, 7866, 8063, 1998, 4977, 1010, 2030, 2130, 5118, 1011, 5872, 1012, 9975, 2011, 1996, 3513, 1010, 1996, 2142, 2163, 3197, 2024, 2025, 3039, 2000, 21296, 5973, 2021, 2006, 1996, 2530, 2392, 1006, 2605, 1010, 2762, 1010, 5706, 1010, 3725, 1010, 1996, 4549, 1010, 1998, 10765, 1007, 1010, 2021, 2057, 8568, 2008, 3627, 1998, 2031, 2081, 1037, 2625, 5164, 4765, 2544, 2005, 1996, 12513, 2005, 2256, 2219, 2399, 1012, 1997, 2607, 1010, 2027, 2024, 2145, 8699, 2012, 1996, 2617, 1010, 2061, 2009, 2003, 1037, 9587, 4140, 2391, 1012, 1996, 16773, 5083, 2178, 2002, 2595, 2167, 2875, 2762, 1010, 1998, 2275, 2039, 2000, 2886, 1996, 2002, 2595, 8047, 2011, 1037, 2309, 1018, 1011, 1020, 1011, 1018, 1012, 2065, 2027, 9510, 1010, 2023, 2052, 3013, 1996, 2430, 4204, 4334, 2240, 1010, 1998, 27152, 1996, 2002, 2595, 2074, 2148, 1997, 2009, 1012, 1996, 10238, 2024, 2025, 2307, 1012, 1037, 1016, 1024, 1015 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2813, 2395, 3485, 1998, 1996, 3361, 2335, 2119, 3189, 2008, 2256, 11419, 2120, 4470, 1010, 5261, 1523, 19212, 1524, 6187, 9654, 1010, 2038, 2853, 2010, 2972, 8406, 1999, 4562, 26261, 23549, 2005, 2055, 1002, 6079, 2454, 1012, 2009, 1521, 1055, 1037, 2146, 2126, 2091, 2005, 2619, 3005, 6661, 2074, 2197, 2095, 2020, 4276, 2062, 2084, 1002, 1015, 4551, 1012, 6187, 9654, 1010, 2040, 2097, 2175, 2091, 1999, 2813, 2395, 2381, 2005, 10882, 21814, 2007, 2958, 5329, 2096, 4562, 5296, 2048, 3134, 3283, 1006, 2025, 2000, 5254, 2197, 2621, 1010, 2043, 15288, 2034, 2318, 2000, 3711, 1007, 1010, 4593, 3706, 2185, 2013, 1996, 2795, 2146, 2438, 2000, 5271, 2010, 1019, 1012, 1020, 2454, 6661, 2012, 1002, 2184, 1012, 6391, 17928, 26005, 1010, 14828, 2008, 2002, 6732, 16545, 5302, 16998, 5252, 2180, 1521, 1056, 2031, 2000, 2039, 2049, 3749, 2153, 1012, 1037, 2173, 2012, 1996, 8232, 1996, 3027, 2758, 2006, 3931, 2028, 2008, 6187, 9654, 2018, 7564, 1997, 6695, 2000, 5271, 2043, 4562, 6661, 2020, 6202, 2012, 2062, 2084, 1002, 10894, 2197, 2095, 1012, 2085, 1010, 1996, 1059, 2015, 3501, 2006, 27723, 2758, 1010, 2009, 3849, 5261, 2003, 2383, 1037, 2210, 6381, 3012, 5325, 1997, 2010, 2219, 1024, 2021, 9430, 8519, 1998, 9228, 1997, 1996, 4562, 26261, 23549, 3472, 2360, 2010, 4518, 5096, 2763, 2038, 2062, 2000, 2079, 2007, 3167, 5543, 2084, 2007, 21248, 1996, 3066, 1012, 2028, 3114, 2002, 2089, 2031, 2359, 2000, 2489, 2039, 2070, 5356, 1024, 1037, 3066, 2002, 1998, 2010, 2564, 3728, 2701, 2000, 5309, 2047, 2542, 2686, 1999, 2047, 2259, 1521, 1055, 8232, 3309, 2005, 2055, 1002, 2656, 2454, 1012, 1523, 1045, 2052, 6655, 2023, 2003, 2531, 1003, 5533, 2011, 2010, 2219, 3361, 4041, 1998, 3791, 1010, 1524, 2056, 5070, 3779, 1010, 1037, 2047, 2259, 9430, 8930, 1012, 1523, 2002, 2785, 1997, 2253, 2091, 2007, 1996, 2911, 1998, 2003, 8660, 1999, 1037, 23450, 1012, 1524, 2057, 1521, 2128, 2025, 2409, 2011, 2151, 1997, 1996, 4981, 2129, 2116, 6661, 6187, 9654, 2853, 2058, 1996, 2086, 2012, 2054, 3976, 1517, 2242, 2008, 2052, 2022, 3733, 2438, 1010, 2065, 2051, 15077, 1010, 2000, 18422, 2013, 2270, 15242, 2015, 1517, 4496, 2079, 2057, 4553, 2129, 2172, 2002, 3687, 1999, 5356, 2058, 1996, 2086, 1012, 1996, 2047, 2259, 2335, 2758, 2006, 27723, 1523, 3251, 1996, 4518, 2001, 3909, 2152, 1010, 2004, 2009, 2001, 2220, 2197, 2095, 1010, 2012, 1002, 18225, 1010, 2030, 22088, 11368, 2075, 1010, 2004, 2009, 2106, 1999, 3522, 2706, 1010, 2720, 1012, 6187, 9654, 2921, 1996, 6565, 9625, 1997, 2010, 1019, 1012, 1020, 2454, 6661, 1012, 1524, 2009, 3849, 2002, 1521, 1040, 2031, 2018, 2000, 2562, 1996, 1523, 6565, 9625, 1524, 1997, 2010, 1019, 1012, 1020, 2454, 6661, 1999, 2344, 2000, 5271, 1019, 1012, 1020, 2454, 6661, 7483, 1010, 2053, 1029, 1996, 6396, 2102, 4311, 2008, 3472, 6187, 9654, 2145, 3475, 1521, 1056, 2941, 1010, 2066, 1010, 2551, 2205, 2524, 1517, 2002, 2145, 3310, 2046, 2147, 1010, 2021, 3475, 1521, 1056, 2920, 2172, 1999, 23218, 2041, 2054, 2000, 2079, 2007, 1996, 6893, 1997, 1996, 2194, 1998, 2049, 5126, 1012, 2008, 2987, 1521, 1056, 2812, 2002, 3475, 1521, 1056, 2635, 2023, 2524, 1012, 1996, 1523, 11655, 4095, 3237, 2040, 1010, 2007, 2010, 2412, 1011, 2556, 19135, 1998, 28324, 2121, 1011, 15790, 3971, 1010, 1998, 5958, 5439, 26256, 2015, 1999, 1996, 2621, 1010, 4958, 9956, 4328, 5422, 1996, 4438, 1010, 2065, 25963, 1010, 3861, 1997, 1996, 2813, 2395, 26625, 1524, 2003, 2085, 1996, 2194, 1523, 23016, 2879, 1524, 2040, 1521, 1055, 2042, 2716, 2000, 2010, 5042, 1999, 2062, 2084, 2028, 3168, 1997, 1996, 7655, 1012, 1999, 1996, 2627, 3134, 1010, 2362, 2007, 2010, 2564, 1010, 10717, 6187, 9654, 1010, 2040, 2003, 1037, 3076, 1997, 3644, 3412, 7443, 1010, 2720, 1012, 6187, 9654, 2038, 2985, 6196, 2051, 6575, 2005, 12435, 2824, 1999, 3412, 2381, 2000, 2156, 2054, 8220, 2064, 2022, 4342, 2013, 1996, 7859, 1997, 2010, 3813, 1010, 2056, 1037, 2711, 2040, 2038, 5287, 2000, 2032, 3728, 1012, 18173, 2003, 2958, 1006, 1998, 5439, 1007, 2745, 4572, 1010, 1999, 1037, 5930, 2023, 2733, 2006, 22950, 1010, 3084, 1996, 2553, 2008, 5766, 2015, 2066, 6187, 9654, 1998, 16239, 11404, 1521, 1055, 9761, 1051, 1521, 11030, 2377, 2958, 1998, 5439, 2096, 2037, 9786, 10671, 1523, 2025, 2138, 2027, 2123, 1521, 1056, 2729, 2037, 9786, 2024, 22724, 1010, 2021, 2138, 2027, 2123, 1521, 1056, 2113, 2008, 2037, 9786, 2024, 22724, 1012, 1524, 2002, 2758, 2008, 1521, 1055, 2138, 1997, 1996, 11757, 8552, 3688, 2008, 2813, 2395, 2038, 2042, 24596, 2075, 2041, 1996, 2341, 2144, 16183, 19506, 2078, 3428, 3662, 2129, 21115, 3361, 8144, 2071, 2022, 1999, 1996, 3865, 1012, 2023, 7545, 4572, 2000, 2019, 5875, 7091, 1024, 2012, 2023, 2391, 2017, 2031, 2000, 2012, 2560, 4687, 2065, 2813, 2395, 9786, 2323, 2022, 2270, 3316, 1012, 2037, 11619, 17552, 2015, 2068, 26096, 28670, 1012, 9387, 2024, 2157, 2085, 12447, 2039, 2000, 2023, 2755, 1024, 2027, 2097, 5157, 2000, 2022, 3825, 2005, 6728, 6305, 3012, 1010, 1998, 2036, 2005, 5285, 10450, 18605, 1012, 1996, 9786, 2031, 2042, 3936, 2000, 2022, 2061, 26648, 1999, 2919, 2335, 2008, 1996, 2069, 2126, 2027, 5788, 2004, 2270, 3316, 2003, 2000, 2191, 25506, 2135, 4121, 20571, 1999, 2204, 2335, 1012, 2008, 2003, 1010, 2004, 2270, 3316, 1010, 2000, 2022, 15318, 14874, 2027, 2024, 3497, 2000, 2022, 14286, 18636, 1012, 2065, 2027, 4995, 1521, 1056, 2055, 2000, 2175, 2104, 1010, 2027, 2024, 2437, 2061, 2172, 2769, 2008, 3071, 2842, 16424, 2068, 1012, 2242, 2003, 2055, 2000, 2507, 1012, 1996, 3027, 21430, 2739, 1997, 2019, 26137, 5376, 1999, 1996, 2088, 1521, 1055, 2087, 2691, 2833, 1010, 6274, 1523, 10069, 1997, 16591, 2408, 4021, 2004, 5785, 3976, 12058, 2015, 2382, 1003, 1999, 1037, 2154, 1524, 2004, 1996, 11840, 7123, 2758, 1999, 2049, 17653, 1012, 1996, 14200, 2008, 1521, 1055, 20070, 1996, 2088, 1521, 1055, 19502, 7597, 3303, 5279, 2000, 7221, 5785, 14338, 1998, 1996, 5137, 2000, 2360, 2009, 2052, 2031, 2000, 4965, 1037, 4121, 3815, 2006, 1996, 2088, 6089, 1010, 2029, 2024, 2525, 2012, 2037, 7290, 4425, 2391, 1999, 2062, 2084, 4228, 2086, 1010, 2138, 2009, 2003, 2521, 2460, 1997, 2049, 3791, 1012, 2634, 1010, 5148, 1010, 1998, 12899, 2024, 2036, 2893, 2035, 3860, 2923, 2006, 2037, 5785, 3119, 1012, 1996, 3259, 3964, 2008, 1996, 2833, 2003, 1037, 18785, 2005, 1016, 1012, 1019, 4551, 2111, 1999, 4021, 1010, 2021, 2036, 1999, 2060, 3033, 1997, 1996, 7595, 1024, 5785, 2003, 2036, 1037, 18785, 1999, 3088, 1010, 3391, 2005, 2235, 3032, 2107, 2004, 13841, 1010, 23089, 22773, 1998, 16028, 2008, 2031, 2525, 4265, 2591, 16591, 2138, 1997, 2152, 2833, 7597, 1012, 1996, 3465, 1997, 5785, 2038, 2062, 2084, 11515, 2144, 2254, 1012, 2008, 1521, 1055, 2043, 7597, 2318, 28561, 2039, 2005, 5785, 2130, 2295, 2216, 2005, 9781, 1010, 10500, 1010, 1998, 2060, 9440, 2018, 2042, 4803, 2144, 2294, 1010, 2295, 1996, 3027, 2987, 1521, 1056, 2425, 2149, 2339, 2008, 2003, 1012, 4841, 2006, 1996, 6411, 6396, 2102, 1521, 1055, 13317, 12305, 15466, 3972, 6961, 2046, 1996, 2060, 5325, 1517, 1999, 7325, 7023, 1517, 1006, 1037, 2466, 2057, 2228, 8440, 1521, 1056, 2042, 2893, 3053, 2438, 10710, 1007, 1998, 4858, 2008, 2011, 2070, 5761, 10390, 2024, 2062, 21877, 18719, 23738, 2594, 2084, 2027, 1521, 2310, 2042, 1999, 1996, 2176, 5109, 2636, 2031, 2042, 2921, 1012, 2002, 7499, 2015, 2008, 2006, 1996, 6772, 2008, 1523, 2637, 2003, 2053, 2936, 1037, 3003, 1010, 2030, 3383, 2130, 17824, 1010, 1999, 2028, 2181, 1999, 2029, 2057, 3373, 2009, 23081, 1524, 1517, 5446, 1012, 1999, 2285, 3381, 1996, 3034, 2604, 1521, 1055, 7325, 10908, 5950, 2718, 1996, 7290, 2504, 2412, 1010, 3429, 1012, 1016, 1012, 1996, 3752, 21362, 2023, 2733, 1010, 4700, 1012, 1023, 1010, 6938, 2117, 1012, 1999, 2070, 3971, 1010, 2045, 2003, 2130, 2625, 27451, 2085, 2084, 2045, 2001, 2059, 1012, 1037, 2896, 10817, 1997, 2216, 12876, 5987, 2449, 3785, 2000, 5335, 2306, 2416, 2706, 1010, 1998, 1996, 7017, 1997, 2111, 2040, 2228, 2037, 2219, 3318, 2097, 4125, 2003, 2172, 2896, 2085, 2084, 2009, 2001, 2059, 1012, 2069, 1999, 5841, 2003, 2045, 2062, 27451, 2085, 1010, 1998, 1996, 4489, 2003, 2235, 1012, 2307, 6165, 2005, 1520, 10231, 1521, 1996, 1059, 2015, 3501, 4311, 2006, 22441, 2008, 2813, 2395, 3475, 1521, 1056, 25240, 2005, 1996, 7349, 1521, 1055, 2047, 1006, 1998, 15741, 1007, 3622, 1011, 5414, 2565, 2004, 9652, 2004, 2116, 2245, 2009, 2052, 1012, 1996, 3259, 2758, 2008, 2071, 2022, 2019, 12407, 2008, 5356, 3471, 2006, 1996, 2395, 4995, 1521, 1056, 2004, 5729, 2004, 6089, 8615, 2074, 1037, 2733, 3283, 1012, 1996, 1059, 2015, 3501, 2036, 2758, 1037, 3584, 18435, 2565, 2387, 2069, 1523, 10754, 3623, 1999, 5157, 1524, 1010, 2295, 2009, 3504, 2000, 2149, 2066, 1996, 3815, 11780, 5598, 2011, 3053, 2382, 3867, 1999, 1037, 2733, 1010, 2000, 1002, 4261, 4551, 1012, 1996, 3454, 7687, 3499, 2813, 2395, 2000, 2404, 2039, 2037, 11080, 10458, 7045, 2004, 24172, 2000, 17781, 2460, 1011, 2744, 2013, 1996, 7349, 1012, 2460, 1011, 2744, 10940, 21956, 1996, 7787, 1997, 16498, 1998, 6089, 2031, 8243, 2039, 1999, 3522, 2706, 2004, 18496, 2545, 2031, 8615, 2005, 1996, 9611, 9407, 1997, 2216, 2000, 3183, 2027, 18496, 1012, 1996, 1059, 2015, 3501, 2038, 2178, 2466, 2006, 29248, 2008, 2758, 1996, 3463, 1997, 1996, 10470, 2024, 1037, 3893, 3696, 2005, 1996, 2740, 1997, 1996, 3361, 3068, 1012, 5416, 13066, 1998, 2358, 11657, 24063, 2015, 2056, 1996, 10470, 2765, 2089, 1999, 20614, 2070, 27451, 2067, 2046, 1996, 6089, 1010, 2625, 7406, 15508, 1997, 1037, 6748, 4923, 24514, 2008, 2071, 5245, 9387, 2000, 2582, 16360, 17599, 3891, 1012, 1523, 2009, 2965, 5085, 2024, 12135, 2035, 1996, 10231, 2012, 1037, 2307, 3446, 1010, 1524, 2056, 2745, 8965, 6810, 1010, 2132, 1997, 2231, 5416, 6202, 1999, 2047, 2259, 2012, 3115, 12443, 1012, 1523, 2023, 2323, 2330, 2039, 2070, 5356, 1998, 7496, 2070, 1997, 1996, 4923, 24514, 1012, 1524, 11669, 2075, 1996, 2160, 2745, 1049, 1012, 8109, 1010, 1996, 1059, 2015, 3501, 1521, 1055, 8028, 2158, 1010, 4311, 2006, 17350, 2008, 5085, 1998, 14344, 3316, 2024, 7079, 2188, 12384, 2545, 2025, 2000, 11669, 2037, 2055, 1011, 2000, 1011, 2022, 1011, 18921, 20464, 24768, 1011, 2588, 5014, 1012, 1996, 1523, 11669, 1011, 2041, 1524, 9575, 2038, 2042, 3652, 1999, 1996, 2197, 2195, 2706, 2247, 2007, 1996, 3972, 2378, 4226, 9407, 3446, 1012, 2122, 2420, 1010, 25375, 1998, 14344, 3316, 2411, 2424, 2008, 2011, 1996, 2051, 2027, 2131, 1996, 6309, 2067, 1010, 7861, 16313, 14050, 2188, 12384, 2545, 2031, 10040, 2041, 22449, 1010, 11696, 8198, 1999, 3681, 1010, 14019, 6773, 2006, 27997, 1998, 1010, 2004, 1037, 20254, 5592, 1010, 5299, 2037, 18551, 2503, 2000, 23277, 25508, 2582, 22156, 1012, 2613, 1011, 3776, 6074, 10197, 2008, 2055, 2431, 1997, 18921, 20464, 24768, 5144, 2000, 2022, 2853, 2011, 14344, 3316, 9053, 2031, 1523, 6937, 1524, 4053, 1010, 2429, 2000, 1037, 2047, 5002, 2011, 6063, 4806, 1010, 1037, 5821, 1998, 2470, 3813, 2241, 1999, 2899, 1010, 1040, 1012, 1039, 1012, 1996, 2087, 6742, 2126, 2000, 5676, 1996, 3506, 2024, 2513, 1999, 11519, 4338, 1010, 18496, 2545, 1998, 2037, 6074, 2360, 1010, 2003, 2000, 3477, 2188, 12384, 2545, 5606, 2030, 2130, 5190, 1997, 6363, 2000, 2404, 2037, 4963, 1999, 9686, 24375, 1998, 2681, 5168, 1012, 7167, 1997, 4963, 2041, 2045, 1010, 2029, 5260, 2149, 2000, 2256, 14196, 9421, 1011, 2125, 2188, 12384, 2121, 14686, 1997, 1996, 2154, 1010, 2004, 2464, 2011, 1037, 10256, 1011, 5450, 2098, 2613, 4263, 1024, 1523, 2043, 2017, 1521, 2128, 3974, 2115, 3959, 1010, 1998, 2017, 1521, 2128, 7079, 2035, 2023, 2769, 2000, 2009, 1529, 1998, 2017, 1521, 2128, 5327, 2008, 2009, 1521, 1055, 2183, 2000, 2175, 2039, 1010, 1998, 2017, 1521, 2128, 2183, 2000, 2191, 2531, 2882, 2066, 7955, 2842, 2106, 1010, 1998, 2009, 2987, 1521, 1056, 4148, 1517, 2017, 2113, 1010, 2111, 2131, 6314, 1010, 1524, 2758, 3533, 1047, 16652, 5017, 1010, 1037, 20138, 2007, 2301, 2538, 5056, 2751, 2040, 9144, 1999, 18921, 20464, 24768, 5014, 1012, 1996, 3050, 3349, 2335, 4311, 2008, 8244, 2024, 2383, 1037, 2524, 2051, 4531, 2147, 1010, 2750, 2035, 1996, 2510, 10659, 2008, 2037, 2731, 1998, 3325, 2038, 2502, 2613, 1011, 2088, 3643, 1024, 2070, 2709, 2000, 6831, 2166, 2007, 3558, 6441, 1998, 8317, 4053, 1012, 2116, 2272, 2067, 2000, 2945, 2008, 2342, 2037, 3361, 2490, 1010, 2021, 2424, 2008, 1996, 4813, 2027, 4227, 1999, 1996, 2510, 2123, 1521, 1056, 4287, 2058, 2000, 1996, 2783, 3105, 3006, 1012, 2037, 2069, 7047, 2024, 14480, 1010, 4443, 1011, 2504, 4460, 1012, 3522, 2470, 2011, 1996, 2533, 1997, 8244, 3821, 6083, 2008, 2651, 1521, 1055, 2402, 8244, 2342, 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, 1064, 1060, 1064, 1064, 1520, 2984, 7296, 1521, 2806, 2030, 4993, 12081, 14110, 2665, 18781, 2015, 2023, 14726, 3940, 1997, 14110, 2665, 18781, 2015, 2020, 1037, 5030, 5592, 2013, 2885, 2005, 2026, 7133, 1521, 1055, 1998, 5615, 1521, 1055, 3510, 1999, 2220, 5497, 1012, 1996, 2611, 2003, 10272, 13369, 2000, 1996, 2402, 2158, 2040, 1037, 3173, 2010, 6045, 2369, 2010, 2067, 1998, 1037, 3788, 6293, 1999, 2010, 2157, 2192, 1012, 1996, 2402, 3203, 2003, 3173, 10810, 2007, 4870, 1999, 2014, 2187, 2192, 1012, 2119, 1997, 2037, 12703, 2024, 17796, 2135, 2589, 1010, 1996, 3628, 2024, 1999, 13426, 1012, 1996, 19002, 6247, 2011, 1996, 2611, 2105, 1996, 5808, 1998, 6700, 2003, 2170, 1037, 1523, 10189, 5831, 2243, 1524, 19964, 2012, 1996, 2735, 1997, 1996, 2301, 1012, 2119, 1997, 1996, 4641, 1998, 2608, 2024, 4993, 1999, 10059, 6087, 1012, 1996, 18781, 2015, 1037, 3154, 17557, 9910, 1006, 2030, 18442, 23436, 2006, 1996, 3221, 1999, 2220, 18781, 2015, 1998, 11703, 12956, 2869, 5398, 1997, 4867, 4162, 2316, 5716, 5903, 10335, 1007, 2091, 1996, 3903, 1997, 1996, 18781, 1012, 14163, 2140, 13821, 12105, 3065, 1996, 17557, 9910, 12241, 2091, 1996, 3903, 1998, 1996, 4481, 2024, 2714, 2000, 1996, 2147, 2589, 2027, 2024, 1999, 3819, 4650, 1010, 2184, 1012, 4293, 1524, 4206, 1012, 2004, 2027, 2024, 2155, 8215, 4135, 22225, 1010, 2045, 2003, 1037, 3661, 7851, 2037, 4761, 2013, 2026, 7133, 1012, 1064, 1520, 2984, 7296, 1521, 2806, 12327, 7877, 1999, 1037, 5898, 8312, 2553, 1011, 5692, 2023, 5898, 2553, 1998, 4138, 2417, 14834, 11048, 1037, 2275, 1997, 2340, 7877, 1006, 1015, 3714, 1007, 2024, 1037, 12327, 1999, 3609, 1012, 1996, 7877, 2024, 3265, 3057, 1998, 3337, 1999, 9671, 22382, 1997, 2377, 1012, 1996, 4506, 2024, 6919, 2135, 6791, 1012, 1996, 8248, 2147, 2003, 6581, 1998, 2200, 10059, 1012, 2027, 2020, 2178, 2155, 5030, 5592, 2000, 2026, 7133, 1012, 2027, 2024, 1017, 1012, 4293, 1524, 4206, 1010, 2751, 11418, 7583, 1998, 1999, 12927, 4650, 1012, 1045, 2123, 1521, 1056, 2228, 2027, 2020, 2412, 2109, 1012, 2035, 5408, 1997, 1996, 7877, 2024, 3491, 1012, 2027, 2024, 2025, 1996, 5156, 8994, 3609, 1998, 2009, 2003, 2649, 2004, 1520, 12327, 1521, 1012, 1037, 4678, 2424, 1012, 1064, 1520, 2984, 7296, 1521, 2806, 17013, 5835, 2007, 11281, 2644, 4842, 1039, 1012, 6756, 1011, 4444, 1012, 1996, 17013, 5835, 2001, 2006, 2026, 7133, 1521, 1055, 18736, 1520, 2984, 7296, 1521, 2806, 3751, 2630, 28388, 2869, 1011, 2023, 14726, 1997, 3751, 2630, 28388, 2869, 10775, 1037, 2611, 1998, 2879, 1010, 2024, 1017, 1012, 4293, 1524, 1999, 4578, 1012, 2037, 5344, 1010, 2606, 1010, 1998, 2398, 2024, 2092, 4993, 1012, 2027, 2024, 5171, 1997, 2220, 4169, 1012, 1996, 2611, 2038, 1037, 9127, 2008, 3544, 2000, 2022, 11803, 1011, 2828, 1010, 1996, 24347, 1998, 6812, 5495, 2024, 19957, 2589, 1012, 2014, 6007, 2024, 7119, 2011, 4867, 10792, 19702, 1012, 1996, 2210, 2879, 2003, 4285, 2041, 2007, 1037, 3589, 1998, 2002, 2038, 1037, 2714, 9127, 1998, 6652, 2806, 6598, 1998, 2460, 6471, 1012, 1996, 19624, 2003, 5171, 1997, 1996, 3041, 2828, 1997, 2806, 1012, 1996, 7877, 2024, 2809, 11536, 1999, 1996, 4592, 2021, 5744, 2006, 1996, 2648, 1012, 1996, 3221, 2007, 1996, 2611, 2038, 1996, 13097, 2102, 6247, 2006, 1996, 11418, 1997, 1996, 3221, 1010, 4728, 1010, 2003, 1999, 3819, 4650, 1012, 1996, 2879, 2003, 2036, 3819, 2021, 2005, 1996, 13097, 2102, 2006, 1996, 11418, 1997, 1996, 3221, 1012, 2045, 2024, 1016, 4714, 29238, 2015, 1999, 1996, 2327, 1997, 1996, 3221, 3378, 2007, 5814, 1012, 1520, 2984, 7296, 1521, 2806, 2300, 8070, 1998, 1020, 28388, 2869, 2023, 2275, 2003, 2192, 10676, 1998, 1037, 21179, 4014, 2928, 2006, 1996, 3953, 1012, 1996, 4292, 2003, 2012, 22571, 7476, 1998, 2838, 1037, 9498, 11975, 1999, 3154, 3221, 8070, 2008, 2038, 1037, 21766, 28579, 2327, 9370, 2007, 13097, 2102, 1012, 2009, 2003, 5744, 2006, 1996, 2648, 1998, 2038, 2260, 21766, 18142, 2015, 2006, 1996, 3903, 1998, 1996, 2416, 4069, 21766, 18142, 2015, 2006, 1996, 2327, 1998, 1037, 7305, 2098, 5047, 1012, 2009, 2003, 1022, 1012, 1019, 1524, 4206, 1012, 1996, 7877, 2024, 1017, 1012, 4293, 1524, 1998, 3444, 2416, 3337, 5102, 2004, 11279, 1010, 2093, 5307, 2187, 1998, 2093, 5307, 2157, 1012, 1996, 7877, 2024, 5744, 2006, 1996, 2648, 1998, 2031, 2809, 10335, 2006, 1996, 2503, 1012, 2169, 1997, 2068, 2038, 2019, 1051, 2906, 1999, 2028, 2192, 1998, 2003, 22317, 2007, 1996, 2060, 2192, 1012, 1996, 3337, 2024, 4993, 2007, 2630, 9700, 2007, 2606, 1010, 5344, 1010, 1998, 2398, 19957, 2589, 1012, 2027, 2024, 5102, 1999, 6652, 11803, 1521, 1055, 11072, 1012, 1996, 4281, 2950, 4937, 22081, 1012, 2761, 1996, 7877, 2020, 2035, 9370, 2007, 13097, 2102, 1010, 2021, 2009, 2003, 6247, 2006, 2087, 1997, 2068, 1012, 1996, 7877, 2024, 2809, 11536, 1012, 2045, 2024, 2200, 2235, 29238, 2015, 1999, 1996, 7877, 1012, 2035, 2024, 2192, 1011, 10676, 2007, 21179, 4014, 6017, 1012, 1039, 1012, 6756, 1011, 6166, 1012, 15017, 2581, 1002, 5385, 1996, 2275, 1520, 2984, 7296, 1521, 2806, 8070, 1998, 28388, 2869, 2023, 2784, 2630, 8070, 11230, 1037, 25367, 1010, 1996, 2806, 2003, 2714, 2000, 2008, 1997, 14163, 7317, 13821, 2194, 1006, 6690, 12105, 1007, 1012, 1996, 10491, 1998, 3252, 1997, 1996, 4971, 2024, 1996, 2168, 1012, 1996, 2069, 2060, 3609, 3875, 2317, 2003, 12241, 2006, 1996, 4971, 1006, 2784, 3756, 1007, 1012, 1996, 8070, 2003, 1022, 1012, 4293, 1524, 4206, 1998, 1020, 1524, 2898, 1006, 2443, 1996, 5047, 1007, 1012, 1996, 3628, 1998, 5957, 2024, 19957, 2589, 1012, 1996, 2327, 1997, 1996, 8070, 2003, 6171, 21766, 28579, 1012, 1996, 10860, 7877, 2024, 15796, 1018, 1524, 5282, 1999, 4578, 1998, 1016, 1012, 4293, 1524, 1999, 6705, 1012, 2027, 5259, 1996, 25367, 1999, 1996, 8070, 2421, 1996, 2093, 5055, 1012, 2028, 3221, 2038, 1037, 2048, 4714, 11418, 11772, 1012, 1520, 2984, 7296, 1521, 2806, 14110, 2665, 8070, 2023, 1020, 1012, 1019, 1524, 4206, 1010, 14110, 2665, 8070, 2838, 1037, 2210, 2611, 3173, 2041, 1037, 7053, 2098, 3589, 1012, 2016, 2038, 1037, 4377, 1997, 6652, 2806, 1998, 6007, 2007, 19702, 1012, 3628, 1998, 2598, 19624, 2003, 5171, 2806, 1012, 2045, 2003, 1037, 2316, 1997, 4857, 2751, 13097, 2102, 2105, 1996, 2918, 1997, 1996, 3300, 1012, 1996, 8070, 2003, 5744, 2006, 1996, 2648, 2021, 2038, 2260, 4592, 10335, 1012, 2045, 2003, 1037, 21179, 4014, 2928, 2006, 1996, 3953, 1012, 2045, 2024, 2235, 29238, 2015, 1999, 1996, 3221, 2008, 4158, 2076, 1996, 11221, 1997, 1996, 3221, 1012, 4764, 1002, 5345, 1520, 2984, 7296, 1521, 2806, 3154, 8070, 1020, 1012, 1019, 4960, 1996, 3154, 3221, 8070, 2003, 1020, 1012, 2423, 1524, 4206, 1998, 2003, 1997, 1996, 2214, 1006, 6756, 1011, 6166, 1007, 3690, 1012, 2045, 2003, 1037, 21179, 4014, 2928, 2006, 1996, 3953, 1998, 1996, 5156, 3221, 29238, 2015, 4525, 1999, 1996, 11221, 1997, 1996, 3221, 1012, 2023, 2402, 3203, 2003, 3491, 3173, 1037, 13171, 4820, 4870, 1006, 1029, 1007, 2030, 2070, 2518, 1012, 1996, 2611, 2038, 1037, 4377, 2008, 2003, 2025, 6652, 1999, 2806, 1010, 4728, 1996, 19624, 1998, 3628, 2024, 5171, 1012, 1039, 1012, 5141, 1011, 4444, 1012, 1520, 2984, 7296, 1521, 2806, 3751, 2630, 8312, 3538, 6301, 2023, 2003, 1037, 3751, 2630, 8312, 3538, 6052, 6301, 1012, 2009, 5761, 1017, 1012, 4293, 1524, 1998, 2038, 1037, 11146, 2006, 1996, 2392, 2008, 2003, 1996, 4461, 11146, 1997, 2762, 1012, 2023, 2089, 2022, 1037, 14163, 7317, 13821, 2194, 4031, 1012, 1996, 2028, 2217, 2003, 2517, 1523, 28831, 22953, 11927, 3270, 6914, 1039, 2009, 11475, 2368, 10654, 4917, 6301, 1524, 1012, 2045, 2003, 2751, 13097, 2102, 2105, 1996, 11418, 1010, 1996, 2918, 1998, 1996, 5047, 1012, 1996, 2648, 1997, 1996, 3538, 2003, 5744, 2021, 1996, 4592, 2038, 1022, 10335, 1012, 1520, 2984, 7296, 1521, 2806, 2200, 2214, 2192, 10676, 11703, 12956, 2099, 2007, 20037, 7639, 2023, 2003, 1037, 2200, 2214, 1006, 1039, 1012, 7313, 1011, 6756, 1007, 3154, 3221, 11703, 12956, 2099, 1998, 1037, 12047, 2192, 10676, 2327, 1012, 2045, 2003, 1037, 21179, 4014, 2928, 2006, 1996, 3953, 1012, 1996, 2327, 1998, 1996, 3903, 1997, 1996, 11703, 12956, 2099, 2031, 1996, 20037, 7639, 16550, 1012, 1996, 2918, 2003, 1019, 1524, 4206, 1998, 1996, 2327, 2003, 1017, 1012, 4293, 1524, 1010, 3452, 1996, 4578, 2003, 1022, 1012, 1019, 1524, 1012, 1996, 2210, 2611, 2003, 28814, 4993, 1012, 2016, 2038, 1037, 2422, 2828, 1997, 4377, 1998, 2003, 3173, 1037, 26700, 1997, 3727, 2030, 3727, 1998, 4870, 1012, 1520, 2984, 7296, 1521, 2806, 3154, 3221, 7305, 2098, 8070, 2023, 3154, 3221, 8070, 4832, 1021, 1012, 2423, 1524, 4206, 1012, 1996, 5047, 2003, 1520, 7305, 2098, 1521, 1999, 4338, 1012, 1996, 2210, 2879, 2003, 2652, 1037, 9368, 1998, 2038, 2019, 6581, 17555, 1010, 2926, 1996, 2879, 1012, 1996, 3302, 2003, 5744, 2006, 1996, 2648, 1998, 2038, 2260, 28453, 1999, 1996, 4592, 1012, 1039, 6756, 1011, 5141, 1012, 1996, 21179, 4014, 2928, 2003, 2556, 2006, 1996, 2918, 1998, 2751, 13097, 2102, 2003, 1999, 6581, 4650, 2006, 1996, 11418, 1012, 2045, 2003, 1037, 8579, 2349, 2000, 14743, 2006, 1996, 4592, 2011, 1996, 5047, 2009, 2515, 2025, 15115, 2007, 1996, 3275, 1998, 2009, 2515, 2025, 3711, 2000, 2175, 16030, 1012, 1520, 2984, 7296, 1521, 2806, 3940, 1997, 2260, 1524, 8902, 10264, 2102, 2630, 18781, 2015, 2023, 14726, 3940, 1997, 18781, 4832, 2260, 1524, 1999, 4578, 1012, 2027, 2020, 1037, 5315, 5592, 2005, 2026, 14472, 1012, 1996, 18781, 2015, 2024, 9370, 2007, 1037, 2784, 21766, 18142, 1998, 14937, 2041, 2379, 1996, 3953, 1012, 1996, 4481, 2024, 2048, 2210, 3057, 1010, 2040, 3173, 1037, 6546, 1998, 1037, 10810, 1998, 1996, 2060, 1037, 3608, 1012, 1996, 14464, 1010, 5344, 1010, 2608, 1998, 2398, 1010, 1998, 3456, 2024, 4993, 1037, 2422, 3756, 1011, 28799, 1012, 2023, 3609, 2003, 3344, 2058, 2000, 1996, 3628, 1010, 19624, 1010, 1998, 8638, 2369, 2068, 1012, 2045, 2024, 21179, 4014, 6017, 2006, 1996, 2918, 1012, 1996, 2609, 1997, 4761, 2003, 2885, 1010, 1039, 1012, 6193, 1011, 4976, 1010, 2030, 2077, 1012, 1045, 2903, 2008, 2023, 2089, 2022, 1037, 5529, 7570, 4095, 18781, 1010, 2053, 1012, 6163, 27531, 1010, 1006, 2030, 2028, 2066, 2009, 1007, 2284, 1999, 13292, 2100, 8945, 2099, 1012, 23988, 2629, 1002, 5174, 2005, 1996, 3940, 1520, 2984, 7296, 1521, 2806, 13675, 2319, 9766, 10869, 3221, 2023, 13675, 2319, 9766, 10869, 3221, 2003, 1018, 1012, 2423, 1524, 1999, 4578, 1012, 2045, 2003, 1037, 4714, 11418, 13109, 13808, 2556, 1012, 2045, 2024, 4714, 6017, 3378, 1996, 11221, 1996, 3221, 1998, 2751, 13097, 2102, 11418, 2003, 2471, 2908, 1012, 1996, 2210, 2879, 2003, 11552, 2135, 5102, 1999, 1037, 5808, 16531, 1998, 21986, 8376, 1012, 2002, 2003, 8402, 1037, 23899, 1997, 10500, 1006, 1037, 9218, 1997, 6860, 1007, 2000, 1037, 2210, 2611, 1006, 2025, 3491, 1516, 2853, 1007, 1012, 1996, 19624, 2003, 11552, 1998, 10059, 1012, 1996, 3452, 2147, 2003, 6581, 1012, 2023, 2003, 2200, 2214, 1039, 1012, 6756, 1011, 6166, 1012, 1520, 2984, 7296, 1521, 2806, 14110, 11703, 12956, 2099, 1039, 1012, 6756, 1011, 6301, 1996, 11703, 12956, 2099, 2003, 1021, 1012, 1019, 1524, 1999, 4578, 1998, 2003, 2245, 2000, 2022, 1039, 1012, 6756, 1011, 6301, 1012, 1996, 2192, 10676, 3538, 1006, 21179, 4014, 1007, 2003, 2013, 2885, 1998, 2003, 7429, 2007, 1037, 11552, 2452, 3593, 1012, 2023, 2452, 3593, 2003, 1999, 19401, 6987, 1998, 2003, 15885, 1999, 1037, 3871, 1997, 4870, 1012, 1996, 7901, 2217, 2036, 2038, 1037, 2309, 6546, 8212, 1012, 1996, 1041, 13777, 2038, 1037, 8206, 3329, 1010, 1037, 8040, 8095, 24174, 11418, 1998, 2019, 4162, 3154, 3221, 5047, 1012, 1996, 2648, 2003, 5744, 1998, 1996, 4592, 2038, 2385, 3903, 1012, 2023, 2003, 2214, 1998, 2200, 3376, 1012, 1037, 2452, 3593, 15525, 2023, 2028, 2003, 2556, 1999, 14163, 7317, 13821, 12105, 1999, 6690, 1012, 1520, 2984, 7296, 1521, 2806, 10869, 3221, 1011, 2665, 2023, 9548, 10869, 3221, 4832, 1017, 1012, 4293, 1524, 2152, 1012, 1996, 2210, 2611, 2038, 1037, 6652, 4377, 2007, 3151, 9127, 1998, 5583, 2098, 5808, 1012, 2016, 2003, 3173, 1037, 23899, 1997, 10500, 1012, 1996, 19624, 2003, 5171, 1998, 2200, 2092, 15885, 1012, 1996, 3221, 2003, 2192, 10676, 1998, 2038, 1037, 4714, 2210, 29238, 3258, 3378, 1012, 1996, 2751, 11418, 2003, 2092, 6247, 2021, 3464, 1999, 2028, 2181, 1012, 1039, 1012, 6756, 1011, 5141, 1012, 1520, 2984, 7296, 1521, 2806, 2784, 2665, 10869, 3221, 1996, 10869, 3221, 2003, 1018, 1524, 2152, 1998, 2038, 1037, 5744, 8829, 1998, 2019, 2809, 11536, 4592, 1012, 2066, 1996, 1041, 13777, 1006, 1001, 4724, 16703, 1007, 2023, 2452, 3593, 3504, 2066, 1996, 2168, 3063, 1006, 1055, 1007, 2003, 1013, 2024, 3625, 1012, 2009, 2089, 2022, 1037, 7452, 1997, 1996, 1041, 13777, 1012, 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, 18134, 3189, 1024, 2208, 2154, 2012, 6901, 9317, 1010, 6185, 1012, 1019, 1012, 2297, 1013, 2184, 1024, 5354, 2572, 3802, 1013, 18134, 3189, 1011, 2208, 2154, 3189, 1011, 10515, 3964, 1011, 2851, 17260, 18558, 1011, 14282, 27467, 2094, 2055, 3289, 1011, 25636, 27263, 2015, 1011, 25636, 1005, 16614, 1011, 12625, 2282, 2614, 1011, 14299, 1996, 26969, 1011, 2197, 2346, 4440, 2077, 3338, 1011, 2707, 1996, 2154, 2067, 1011, 2000, 1011, 2067, 2399, 2302, 1037, 2391, 3475, 1521, 1056, 1037, 4678, 14404, 2005, 1037, 2843, 1997, 2867, 1010, 2021, 1037, 2843, 1997, 2867, 4995, 1521, 1056, 11430, 14282, 1012, 14282, 8039, 3892, 1521, 1055, 2208, 2383, 2042, 2218, 3556, 3238, 1999, 2048, 3442, 2399, 2005, 2074, 1996, 2117, 2051, 2035, 2161, 1006, 2036, 13292, 1012, 1020, 1011, 1023, 1007, 1998, 2074, 1996, 2353, 2051, 1999, 6227, 2399, 5306, 2067, 2000, 1996, 2927, 1997, 2197, 2161, 1012, 14282, 2001, 27467, 2094, 2043, 4092, 2055, 2010, 1006, 2292, 1521, 1055, 2022, 7481, 1516, 5816, 2003, 1037, 3145, 2773, 2182, 1007, 3522, 3768, 1997, 3289, 1012, 2002, 2056, 2096, 2002, 5683, 2002, 1521, 1055, 2042, 2893, 9592, 1010, 2002, 6732, 2002, 2064, 3443, 2062, 1012, 1523, 1045, 2812, 1010, 2017, 2215, 2000, 3556, 1010, 1524, 2002, 2056, 1012, 1523, 1045, 2228, 1045, 1521, 1040, 5791, 2066, 2000, 2031, 2062, 9592, 1012, 1045, 2228, 2017, 1521, 2128, 2467, 2785, 1997, 2559, 2012, 9592, 2004, 2785, 1997, 1037, 9854, 6293, 1012, 1998, 2065, 2017, 1521, 2128, 2893, 7167, 1998, 2025, 4577, 1010, 1045, 2228, 2008, 1521, 1055, 1037, 2210, 2062, 11701, 1012, 2021, 1045, 2228, 2045, 2763, 2071, 2022, 1037, 2210, 2062, 9592, 1012, 2061, 1045, 1521, 1040, 2066, 2000, 2424, 1037, 2126, 2000, 9699, 2216, 1037, 2210, 2978, 2062, 1012, 1524, 1996, 4364, 2031, 2042, 3331, 1996, 2197, 2261, 2420, 2055, 2129, 2172, 12347, 1998, 2485, 1011, 9361, 1996, 2399, 2031, 2042, 2893, 2004, 2057, 2131, 6748, 2046, 1996, 2161, 1998, 3553, 2000, 7555, 1012, 1996, 2689, 2038, 5121, 2042, 17725, 1010, 2926, 2043, 2009, 3310, 2000, 2780, 2667, 2000, 6985, 1996, 2190, 2447, 1999, 1996, 2088, 1516, 2021, 14282, 3475, 1521, 1056, 2478, 2008, 2004, 2019, 8016, 1012, 1523, 1045, 2812, 1010, 2498, 2041, 1997, 1996, 6623, 1010, 1524, 2002, 2056, 1012, 1523, 1045, 2228, 2780, 2024, 2652, 3492, 4389, 1012, 2021, 2008, 1521, 1055, 2242, 1045, 2228, 2004, 1996, 2095, 3632, 2006, 2003, 2025, 2183, 2000, 2131, 2151, 6082, 1012, 1045, 2228, 2009, 4152, 7823, 2121, 1998, 7823, 2121, 2004, 2017, 2131, 3553, 1998, 3553, 2000, 1996, 7555, 1012, 1045, 2228, 2008, 2009, 1521, 1055, 2062, 2030, 2625, 2288, 2000, 2272, 2013, 2033, 1998, 2424, 3971, 1997, 11717, 10048, 1010, 3251, 2008, 2022, 2105, 1996, 5658, 2030, 4526, 2008, 2007, 3177, 1012, 3649, 2008, 2003, 1010, 1045, 2228, 2045, 1521, 1055, 5791, 2282, 2005, 7620, 1998, 2893, 2062, 9592, 1012, 1524, 2023, 2208, 2114, 1996, 26969, 1010, 2174, 1010, 2089, 2022, 2074, 2054, 14282, 3791, 1012, 2002, 8039, 3892, 1521, 1055, 2208, 2007, 1037, 2385, 1011, 2208, 2391, 9039, 2114, 1996, 6901, 26969, 2008, 5246, 2067, 2000, 11703, 1012, 2756, 1010, 2289, 1012, 14282, 2038, 3157, 3289, 1998, 2459, 8456, 2005, 2656, 2685, 1999, 2216, 15795, 1012, 14282, 2038, 2685, 1999, 2035, 2410, 2476, 7879, 2000, 6901, 1006, 1022, 2290, 1011, 2260, 2050, 1011, 2322, 22798, 1007, 1012, 2002, 2038, 2698, 2685, 1006, 1016, 2290, 1011, 1019, 2050, 1007, 1999, 2010, 2197, 2048, 2399, 2182, 1012, 2076, 2010, 2476, 1010, 14282, 2038, 5067, 2012, 2560, 2028, 2391, 1999, 2570, 1997, 2484, 2399, 2114, 1996, 26969, 1012, 2208, 2154, 3189, 9734, 1998, 9393, 6415, 2136, 2000, 3288, 2017, 2651, 1005, 1055, 2310, 21885, 2239, 2208, 2154, 3189, 1012, 1012, 1012, 1011, 1011, 3520, 10556, 8791, 1004, 9393, 13675, 15937, 20282, 2080, 25636, 2694, 2614, 7871, 1011, 7213, 13109, 11236, 2100, 2097, 2022, 3225, 1999, 3125, 3892, 2114, 1996, 26969, 1012, 18134, 2132, 2873, 4907, 2011, 4877, 2863, 2794, 2008, 2002, 8069, 2008, 28919, 8838, 1998, 9152, 8337, 10224, 2024, 1000, 11504, 1000, 6032, 2420, 1012, 1000, 3782, 28919, 8838, 1998, 4717, 9152, 8337, 10224, 2020, 2025, 2041, 2005, 1996, 2851, 17260, 1010, 1000, 2011, 4877, 2863, 2056, 1012, 1000, 2027, 2097, 2022, 2074, 11504, 6032, 1998, 2022, 2006, 1996, 3256, 3892, 1012, 1996, 2717, 1997, 2256, 10515, 2003, 2208, 1011, 2051, 1012, 1000, 2830, 4302, 1062, 4747, 14862, 27966, 15922, 2001, 2170, 2039, 7483, 2013, 20635, 1011, 23189, 1013, 26123, 1998, 4194, 1999, 1996, 2851, 17260, 1012, 2011, 4877, 2863, 2056, 2004, 1997, 2157, 2085, 1010, 2045, 2024, 2053, 3488, 2005, 2151, 2060, 2655, 1011, 11139, 1012, 9393, 2165, 2070, 2307, 27263, 2015, 1999, 6901, 1012, 2202, 1037, 2298, 2917, 1012, 1012, 1012, 5261, 11030, 10955, 1996, 5132, 2030, 8197, 2243, 2985, 2195, 2086, 1997, 2010, 3360, 1999, 6901, 1012, 2002, 1005, 1055, 1037, 2613, 6901, 11148, 1012, 6901, 2078, 1029, 23176, 9777, 1029, 6901, 2121, 1029, 2151, 1997, 2216, 1029, 25540, 8411, 4859, 3964, 1996, 26478, 6820, 11916, 1997, 1996, 22900, 2015, 1012, 2011, 4877, 2863, 2056, 1000, 25540, 2080, 1000, 2071, 2377, 2119, 2830, 1998, 3639, 3892, 1012, 3221, 1998, 4302, 1062, 11834, 13217, 1012, 11499, 2008, 24261, 1999, 1996, 4281, 2003, 1037, 10535, 1012, 1012, 1012, 1012, 999, 4092, 1997, 3221, 1010, 2182, 2002, 2003, 2007, 11430, 14282, 1012, 2017, 1005, 2128, 2055, 2000, 2156, 1037, 5418, 1012, 1012, 1012, 14282, 2006, 1996, 2693, 1010, 2021, 3221, 2003, 4363, 9867, 14282, 2005, 1996, 2227, 7245, 1012, 1012, 1012, 2045, 1005, 1055, 3221, 2153, 999, 999, 2002, 1005, 1055, 2468, 1037, 2754, 1011, 1019, 18856, 9912, 999, 999, 1011, 1011, 9393, 13675, 15937, 20282, 2080, 1004, 3520, 10556, 8791, 2851, 17260, 18558, 3782, 28919, 8838, 1998, 4717, 9152, 8337, 10224, 2020, 1996, 2069, 7965, 25636, 2867, 2025, 2012, 1996, 2851, 17260, 1012, 4302, 1062, 4747, 14862, 27966, 15922, 1010, 2040, 2001, 7383, 2013, 25610, 2015, 2397, 2197, 2305, 1010, 2106, 3693, 1996, 2136, 1012, 2074, 2066, 2012, 6928, 1005, 1055, 2851, 17260, 1010, 1996, 25636, 2106, 2025, 2147, 1999, 18545, 1012, 2027, 2106, 2079, 2070, 2373, 2377, 2147, 1012, 18414, 18719, 8183, 4939, 2368, 1998, 2703, 3235, 2999, 28919, 8838, 1998, 9152, 8337, 10224, 2006, 1996, 2327, 3131, 1010, 5241, 11430, 14282, 1010, 23408, 6914, 2072, 15451, 4939, 1998, 2508, 11030, 1012, 1045, 2106, 1996, 14299, 3189, 2006, 6901, 2197, 2733, 1010, 1998, 2026, 5795, 3520, 10556, 8791, 2106, 2023, 2028, 1012, 2156, 2054, 2002, 2038, 2000, 2360, 2055, 1996, 26969, 2183, 2046, 3892, 1005, 1055, 5049, 1012, 1012, 1012, 2197, 2346, 4440, 7483, 4417, 1996, 2197, 2051, 1996, 25636, 2867, 2097, 2131, 2006, 1037, 4946, 1006, 2005, 1037, 2136, 2346, 4440, 1010, 2008, 2003, 1011, 1037, 2843, 1997, 2068, 2097, 2022, 7118, 2000, 2593, 27084, 4048, 2030, 2536, 10885, 14345, 1999, 1037, 2261, 2420, 1007, 2127, 13114, 1012, 2654, 1010, 2043, 2027, 2097, 3604, 2000, 3190, 2005, 1996, 3346, 2186, 2006, 2233, 1015, 1012, 2057, 8832, 1996, 9405, 1012, 1012, 1012, 8991, 2080, 16121, 2149, 1996, 3521, 3696, 7871, 1011, 7213, 13109, 11236, 2100, 16121, 1037, 2868, 2012, 2534, 1997, 4476, 2099, 3505, 21395, 1996, 4946, 2001, 9083, 2066, 1037, 3542, 2185, 2013, 1996, 18284, 1006, 5667, 1010, 2009, 2001, 1037, 21857, 1007, 2061, 2027, 2018, 1037, 10382, 2183, 2067, 1998, 5743, 2240, 15416, 10514, 12079, 1998, 3221, 2939, 2058, 2362, 1012, 2064, 2057, 2644, 2005, 1037, 2617, 1998, 9120, 2129, 12476, 3221, 1005, 14829, 2024, 1029, 8305, 19330, 3669, 5003, 19321, 2050, 2007, 1037, 2843, 1997, 8641, 12849, 15058, 2860, 1998, 23564, 2102, 26126, 2707, 1996, 2154, 2204, 2851, 2013, 6901, 1010, 2047, 2259, 999, 1996, 25636, 2024, 1999, 2237, 2005, 2037, 2197, 2346, 2208, 2077, 1996, 4386, 3338, 1012, 2027, 2074, 2209, 1996, 26969, 2197, 6928, 1010, 2073, 3125, 2666, 7871, 1011, 7213, 13109, 11236, 2100, 1010, 2040, 2003, 2746, 2125, 1037, 2208, 2073, 2002, 2550, 1000, 4257, 2041, 1000, 1996, 2190, 3828, 2002, 1005, 1055, 2412, 2081, 1999, 1037, 1016, 1011, 1015, 12253, 2663, 2114, 8166, 1010, 8219, 2010, 2959, 3844, 5833, 1997, 1996, 2161, 1999, 1037, 1017, 1011, 1014, 3377, 1012, 2005, 1037, 25416, 21898, 2121, 2006, 2054, 3047, 1999, 2008, 5049, 1010, 1996, 28667, 9331, 1998, 11637, 2024, 2182, 1012, 1996, 25636, 2024, 5115, 2005, 2019, 2340, 1024, 2382, 1037, 1012, 1049, 1012, 2851, 17260, 2012, 1996, 2034, 15473, 2415, 1012, 2182, 2024, 1037, 2261, 1006, 3100, 1010, 1037, 2843, 1007, 3964, 2006, 3892, 1005, 1055, 2674, 6279, 2000, 2131, 2017, 3201, 2005, 1996, 2208, 1012, 1012, 1012, 1011, 1996, 18134, 3942, 1996, 6901, 26969, 1006, 2694, 1024, 6788, 2998, 2897, 1025, 2557, 1024, 8746, 1012, 1023, 1996, 1060, 1007, 2012, 1996, 2034, 15473, 2415, 1012, 1011, 6278, 2003, 2184, 1011, 1017, 1011, 1015, 1999, 2049, 2197, 2403, 2399, 5306, 2067, 2000, 5553, 1012, 1017, 1012, 2076, 2008, 8487, 1010, 2069, 1996, 5169, 18846, 1006, 1012, 6146, 2581, 7473, 2102, 1012, 1007, 2038, 6866, 1037, 3020, 2685, 7017, 2084, 1996, 18134, 1521, 1012, 9683, 7473, 2102, 1012, 1011, 1996, 18134, 2024, 1020, 1011, 1017, 1011, 1015, 1999, 2037, 2197, 2184, 2346, 2399, 1012, 2037, 2385, 2346, 5222, 2023, 2161, 2024, 5079, 2005, 2117, 2087, 2426, 2789, 3034, 2780, 2369, 1996, 6396, 7181, 1006, 2459, 1007, 1012, 1011, 6278, 2003, 2340, 1011, 1018, 1999, 2049, 2627, 2321, 2399, 2114, 1996, 26969, 1012, 2076, 2008, 7683, 1996, 18134, 2031, 11398, 1017, 1012, 1018, 3289, 2566, 2208, 1012, 1011, 1996, 18134, 2024, 1020, 1011, 1016, 1999, 2037, 2197, 2809, 7879, 2000, 6901, 1012, 1011, 18134, 2952, 11430, 14282, 8039, 3892, 1521, 1055, 2208, 2383, 2042, 2218, 3556, 3238, 1999, 2067, 1011, 2000, 1011, 2067, 2399, 2005, 2074, 1996, 2117, 2051, 2035, 2161, 1006, 2036, 13292, 1012, 1020, 1011, 1023, 1007, 1998, 2074, 1996, 2353, 2051, 1999, 6227, 2399, 5306, 2067, 2000, 1996, 2927, 1997, 2197, 2161, 1012, 1011, 2174, 1010, 14282, 8039, 3892, 1521, 1055, 2208, 2007, 1037, 2385, 1011, 2208, 2391, 9039, 2114, 1996, 6901, 26969, 2008, 5246, 2067, 2000, 11703, 1012, 2756, 1010, 2289, 1012, 2002, 2038, 3157, 3289, 1998, 2459, 8456, 2005, 2656, 2685, 1999, 2216, 15795, 1012, 14282, 2038, 2685, 1999, 2035, 2410, 2476, 7879, 2000, 6901, 1006, 1022, 2290, 1011, 2260, 2050, 1011, 2322, 22798, 1007, 1012, 2002, 2038, 2698, 2685, 1006, 1016, 2290, 1011, 1019, 2050, 1007, 1999, 2010, 2197, 2048, 2399, 2182, 1012, 2076, 2010, 2476, 1010, 14282, 2038, 5067, 2012, 2560, 2028, 2391, 1999, 2570, 1997, 2484, 2399, 2114, 1996, 26969, 1012, 1011, 1996, 2240, 1997, 23408, 6914, 2072, 15451, 4939, 1010, 2508, 11030, 1998, 18414, 18719, 8183, 4939, 2368, 8039, 3892, 1521, 1055, 2208, 2383, 2550, 2260, 2685, 1006, 1018, 2290, 1011, 1022, 2050, 1007, 1999, 1996, 2197, 2093, 2399, 1516, 2007, 2035, 2093, 4755, 2093, 1011, 2208, 2391, 21295, 2046, 2023, 5049, 1012, 8183, 4939, 2368, 2038, 2419, 1996, 2126, 2007, 2274, 2685, 1006, 1015, 2290, 1011, 26424, 1007, 1012, 4117, 1010, 1996, 7146, 2038, 3195, 2176, 1997, 2136, 1521, 1055, 2698, 3289, 2076, 2008, 7683, 1012, 1011, 1996, 18134, 4607, 3892, 1521, 1055, 2208, 2383, 5068, 4464, 5222, 2083, 2037, 2034, 5179, 2399, 2023, 2161, 1012, 2008, 8509, 2068, 1999, 2597, 2000, 3362, 1996, 2871, 1011, 2663, 2928, 5514, 2084, 2151, 2136, 1999, 6329, 2381, 1012, 1011, 1996, 2783, 2928, 2003, 2871, 5222, 1999, 3515, 2399, 2076, 1996, 2786, 1011, 5986, 3049, 1012, 1011, 2559, 2582, 3805, 1010, 2065, 1996, 18134, 2215, 2000, 5020, 1996, 6329, 2501, 1997, 5179, 5222, 1006, 2826, 1011, 6109, 1007, 1010, 2027, 2097, 2342, 2000, 2175, 2459, 1011, 1020, 2030, 2488, 2058, 2037, 2345, 2656, 2399, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5002, 1997, 6112, 1011, 2241, 2897, 24554, 10788, 4106, 1075, 1996, 3166, 1006, 1055, 1007, 2355, 2363, 1024, 2403, 2258, 2325, 3970, 1024, 2861, 2257, 2355, 2405, 1024, 1019, 2285, 2355, 2004, 2897, 4026, 7502, 1998, 4491, 2468, 2062, 15157, 1998, 3375, 1010, 2057, 2442, 2424, 5541, 2047, 3971, 2000, 11598, 24554, 10788, 3001, 1006, 8909, 8583, 1007, 1012, 3728, 1010, 6950, 2031, 5625, 2000, 17445, 2119, 3698, 4083, 1998, 6112, 9798, 2974, 2000, 2488, 6709, 8767, 1998, 3177, 2039, 22334, 2335, 1012, 2023, 3259, 15102, 2783, 2470, 2012, 1996, 6840, 1997, 2122, 2048, 4249, 2011, 12843, 6112, 1011, 2241, 2897, 24554, 10788, 8107, 2008, 16462, 3698, 4083, 13792, 1006, 18619, 2015, 1007, 1012, 4919, 1010, 2057, 5136, 9324, 2075, 1998, 5579, 18619, 2015, 1010, 2037, 10439, 19341, 8553, 2000, 2715, 24554, 10788, 1010, 1998, 3444, 4989, 13792, 1010, 1999, 2344, 2000, 2104, 4179, 4069, 24977, 2013, 3522, 2470, 1012, 2057, 3749, 1037, 2783, 19184, 1997, 2023, 3652, 2303, 1997, 2470, 1010, 20655, 14152, 1010, 7860, 1010, 1998, 2925, 7826, 2005, 18619, 1011, 8192, 1999, 6112, 1011, 2241, 2897, 24554, 10788, 8107, 1012, 3145, 22104, 7159, 6198, 24554, 10788, 4106, 6112, 9798, 4949, 5596, 18796, 2144, 1996, 6440, 1997, 3274, 14048, 1010, 24554, 10788, 3001, 1006, 8909, 8583, 1007, 2031, 2209, 1037, 4187, 2535, 1999, 12725, 3647, 6125, 2005, 2035, 5198, 1010, 2021, 1996, 4338, 1997, 1996, 2535, 2038, 2904, 2802, 3522, 2381, 1012, 2054, 2211, 2004, 2291, 15631, 21118, 8822, 5310, 3450, 1999, 1996, 2220, 1520, 17549, 2150, 2780, 9033, 26169, 2083, 15727, 15664, 1999, 1996, 1520, 16002, 1010, 6653, 2075, 2000, 3784, 4106, 1998, 4056, 3454, 1999, 13831, 5109, 1012, 3904, 1997, 2122, 3001, 2020, 2583, 2000, 6464, 9231, 8400, 4491, 2200, 2855, 1010, 2174, 1010, 1998, 2947, 2020, 3227, 2109, 2004, 15359, 5906, 2000, 11628, 3036, 10444, 4654, 2695, 13743, 1012, 2004, 4026, 3473, 1998, 4491, 2150, 2062, 15157, 2007, 1996, 6217, 1997, 1996, 4274, 1999, 1996, 4134, 1010, 2009, 2150, 6835, 2008, 9170, 2121, 24554, 10788, 4106, 2001, 4072, 2000, 2119, 22939, 26745, 3366, 1998, 4652, 4491, 1012, 2000, 14570, 2023, 1010, 6950, 2499, 2000, 2488, 3305, 2897, 4026, 7060, 1010, 2029, 4504, 1999, 1996, 3618, 2458, 1997, 8085, 1011, 2241, 1998, 5248, 1011, 2241, 10788, 5461, 1012, 8085, 1011, 2241, 5461, 12826, 4026, 7060, 2000, 2124, 2886, 16442, 1010, 6168, 5248, 1011, 2241, 5461, 11487, 24554, 2015, 3081, 24353, 2015, 2013, 3671, 2030, 3517, 4026, 5248, 1012, 2096, 2119, 5461, 2064, 2022, 4621, 1999, 2613, 1011, 2051, 1010, 3278, 12546, 9690, 4839, 1517, 8085, 1011, 2241, 5461, 3685, 3457, 2114, 4242, 24554, 2015, 1010, 1998, 5248, 1011, 2241, 5461, 3338, 2091, 2104, 3082, 4026, 2030, 5573, 4026, 19239, 1012, 2000, 4769, 2122, 3082, 4026, 12546, 1010, 6950, 17445, 2098, 1996, 2373, 1997, 6112, 9798, 2974, 2000, 3177, 2039, 22334, 1012, 1999, 3522, 2086, 1010, 1996, 4949, 5596, 18796, 9798, 4132, 1010, 3391, 2083, 1996, 2018, 18589, 5500, 5371, 2291, 1006, 10751, 10343, 1007, 1010, 2038, 2042, 2109, 2000, 4685, 3935, 24554, 10788, 4106, 1031, 1017, 1516, 1021, 1033, 1012, 2018, 18589, 1010, 1037, 2759, 2330, 1011, 3120, 4007, 7705, 2005, 5500, 5527, 1998, 5500, 6364, 1997, 2502, 2951, 1010, 3594, 4949, 5596, 18796, 1010, 1037, 5903, 6364, 20680, 2008, 2064, 4685, 5915, 4106, 2000, 5646, 1996, 3739, 1997, 4491, 2030, 24391, 3450, 1999, 2312, 12450, 1997, 2897, 4026, 1012, 10751, 10343, 3701, 3640, 26743, 3468, 1998, 10539, 2951, 5527, 2005, 6605, 14932, 2897, 4026, 2951, 1012, 2000, 4685, 24554, 10788, 4106, 2478, 6112, 9798, 1010, 2047, 15078, 4275, 2342, 2000, 2022, 2881, 2011, 2206, 1996, 5903, 6364, 20680, 1012, 14084, 1010, 1037, 14080, 1997, 4493, 15078, 4275, 2323, 2022, 4162, 2000, 2191, 2068, 2448, 2006, 1037, 6112, 9798, 4044, 1012, 9798, 7248, 2107, 2004, 2018, 18589, 1998, 4949, 5596, 18796, 3227, 16062, 22334, 2015, 2426, 7644, 1997, 7588, 2030, 2062, 1010, 2358, 24335, 2666, 2075, 2151, 13792, 2007, 2009, 25284, 2030, 7399, 22334, 2015, 2008, 5478, 3229, 2000, 2035, 7953, 2951, 2000, 4685, 1012, 3568, 1010, 2116, 2759, 15078, 13792, 3685, 2022, 3495, 12550, 1999, 6112, 9798, 4294, 1012, 2000, 4769, 2023, 22718, 1010, 6950, 2031, 2318, 12697, 26743, 3468, 4685, 4630, 3698, 4083, 5097, 2008, 2448, 1999, 1996, 6112, 9798, 4044, 1031, 1023, 1516, 2403, 1033, 1012, 1999, 2804, 1010, 2116, 6950, 13155, 1996, 5197, 1997, 3698, 4083, 13792, 1006, 18619, 2015, 1007, 2000, 24554, 10788, 4106, 2478, 6112, 9798, 2974, 1031, 2321, 1516, 2324, 1033, 1012, 2348, 1996, 8346, 1997, 18619, 2015, 2000, 24554, 10788, 2003, 2590, 1010, 2009, 2038, 2025, 2042, 3273, 13644, 1010, 3952, 2349, 2000, 3471, 3378, 2007, 15929, 16594, 15502, 13792, 1999, 1037, 6112, 9798, 4044, 1012, 2947, 1010, 3824, 2470, 1999, 1996, 2492, 2119, 17146, 14632, 2000, 15581, 2122, 18619, 2015, 2005, 6112, 8241, 4294, 1031, 1022, 1010, 2539, 1033, 1998, 9251, 1996, 5197, 1997, 18619, 2015, 1999, 2897, 4026, 4106, 25697, 2312, 1031, 2322, 1516, 2570, 1033, 1012, 1999, 2023, 3259, 1010, 2057, 3535, 2000, 24203, 2229, 4697, 1996, 3522, 4073, 1997, 2122, 6950, 1010, 12786, 1996, 5197, 1997, 18619, 2015, 1999, 2897, 24554, 10788, 2011, 12151, 1998, 26268, 2075, 2124, 7300, 2005, 24554, 10788, 4106, 1999, 1996, 6112, 1012, 2023, 3259, 2003, 4114, 2004, 4076, 1012, 1999, 1000, 24554, 10788, 1000, 2930, 1010, 2057, 6848, 1996, 2381, 1010, 6210, 1010, 1998, 8474, 1997, 24554, 10788, 5461, 1012, 1999, 1000, 2478, 18619, 2015, 1999, 24554, 10788, 1000, 2930, 1010, 2057, 8970, 1996, 4145, 1997, 2478, 18619, 2015, 1999, 24554, 10788, 1010, 20655, 7375, 7860, 1998, 3522, 12607, 2015, 1999, 1996, 2492, 1012, 2367, 4127, 1997, 3698, 4083, 13792, 1010, 9324, 2075, 1998, 26268, 2075, 13792, 1010, 1998, 23208, 2037, 10439, 19341, 8553, 2000, 2715, 24554, 10788, 5461, 2024, 4541, 1012, 1000, 27891, 1997, 18619, 2015, 1999, 6112, 9798, 1000, 2930, 17427, 3522, 27338, 2008, 12666, 18619, 2015, 1999, 6112, 1011, 2241, 24554, 10788, 5461, 1012, 2044, 4346, 3471, 1998, 7860, 1997, 16911, 18619, 2015, 1999, 6112, 1011, 2241, 24554, 4106, 1999, 1000, 6594, 1000, 2930, 1010, 2057, 2097, 3926, 2023, 3259, 2011, 5052, 1037, 7091, 1998, 7826, 2005, 2925, 2470, 1999, 1000, 7091, 1998, 2925, 9316, 1000, 2930, 1012, 17710, 15810, 2121, 1998, 6819, 16989, 14801, 1037, 18801, 2381, 1997, 24554, 10788, 1010, 3048, 2013, 1996, 2220, 2420, 1997, 6410, 10788, 1998, 4106, 2011, 3001, 15631, 1999, 1996, 3955, 2000, 2613, 1011, 2051, 7300, 1999, 1996, 4134, 1998, 2220, 8876, 1012, 24554, 10788, 2003, 4225, 2004, 1996, 2832, 1997, 8822, 2824, 2008, 5258, 2006, 7588, 1998, 6125, 1012, 2004, 24554, 2015, 2150, 2062, 9426, 1998, 12138, 1010, 1996, 2342, 2005, 7705, 2015, 1998, 5579, 2038, 2042, 13155, 1012, 2139, 8237, 3802, 2632, 1012, 2864, 1037, 27691, 2389, 3921, 1997, 4824, 8909, 8583, 2011, 12854, 2068, 2004, 2151, 10595, 2008, 2832, 2592, 2746, 2013, 1996, 2291, 2008, 2003, 2000, 2022, 5123, 1012, 2027, 2582, 2649, 4493, 24554, 10788, 5461, 2478, 2048, 2590, 8474, 1024, 10788, 4118, 1998, 5248, 2006, 10788, 1012, 2057, 2097, 6848, 2122, 8474, 1999, 1000, 2478, 18619, 2015, 1999, 24554, 10788, 1000, 2930, 1012, 24554, 10788, 4725, 2024, 3227, 4055, 2046, 8085, 1011, 2241, 1998, 5248, 1011, 2241, 2030, 28685, 1011, 2241, 5461, 1012, 8085, 1011, 2241, 5461, 1006, 2036, 2124, 2004, 3716, 1011, 2241, 2030, 28616, 13901, 1011, 2241, 5461, 1007, 4431, 17881, 1997, 3025, 2886, 16442, 1998, 2124, 2291, 24728, 19666, 6906, 14680, 1012, 8085, 1011, 2241, 5461, 2024, 3243, 8321, 1998, 4621, 2005, 2124, 4491, 1010, 2021, 3685, 3457, 2114, 4242, 4491, 1012, 2000, 5547, 2023, 22718, 1010, 5377, 10651, 1997, 2886, 16442, 3791, 2000, 2022, 2864, 1012, 2174, 1010, 2023, 2453, 5478, 6196, 4219, 1998, 8964, 1012, 2000, 3457, 2114, 4242, 4491, 1010, 5248, 1011, 2241, 2030, 28685, 1011, 2241, 5461, 2064, 2022, 2109, 1012, 2122, 11487, 24554, 4740, 2004, 24353, 2011, 13599, 2068, 2000, 3671, 2897, 4023, 1006, 1045, 1012, 1041, 1012, 10954, 2030, 4026, 1007, 1012, 2096, 2122, 2048, 4127, 1997, 5461, 5441, 6196, 17702, 1998, 2024, 2411, 5240, 2004, 7235, 1999, 3906, 1010, 2057, 13433, 28032, 2008, 2027, 2024, 3621, 2367, 1012, 2182, 10354, 3334, 1010, 2057, 2097, 6523, 2000, 28685, 1011, 2241, 5461, 2004, 2216, 2008, 9125, 2034, 2731, 1037, 2291, 2000, 5323, 1037, 3671, 6337, 1010, 1998, 2059, 2478, 2008, 6337, 2000, 11487, 24353, 2015, 1010, 1998, 5248, 1011, 2241, 5461, 2004, 2216, 2008, 2079, 2025, 9352, 12826, 2114, 1037, 26163, 1012, 2005, 2742, 1010, 1999, 5248, 1011, 2241, 10788, 4725, 1010, 2019, 8911, 2453, 3432, 5323, 3056, 3513, 2008, 2052, 9495, 9499, 2015, 2043, 3714, 1012, 1999, 3218, 1010, 2122, 2048, 4127, 1997, 5461, 2024, 2411, 2028, 1998, 1996, 2168, 1010, 2021, 2009, 2003, 9690, 2590, 2000, 5323, 2037, 11259, 5966, 1012, 5248, 1523, 2105, 1524, 10788, 2320, 4621, 10788, 4725, 2031, 2042, 2511, 1010, 1996, 3160, 4150, 1024, 2054, 2785, 1997, 5248, 2515, 1996, 2291, 11092, 2044, 10788, 1029, 2096, 2139, 8237, 3802, 2632, 1012, 1010, 2005, 2742, 1010, 3855, 5248, 2006, 10788, 1010, 2057, 9544, 5248, 1523, 2105, 1524, 10788, 1010, 2004, 2009, 2488, 5577, 1037, 2291, 1521, 1055, 2825, 4506, 2119, 2077, 1998, 2044, 10788, 1517, 8909, 8583, 2024, 6684, 2412, 3432, 4668, 5649, 3001, 2008, 2069, 2202, 2895, 2044, 1996, 2755, 1012, 2247, 2122, 3210, 1010, 11085, 4168, 1998, 17838, 3935, 2028, 1997, 1996, 2034, 28521, 20936, 2229, 1997, 3424, 1011, 24554, 5461, 1010, 1998, 4055, 2068, 2046, 2416, 8107, 1024, 9740, 1010, 3653, 6633, 16790, 1010, 28283, 24413, 1010, 13366, 2571, 7542, 1010, 10788, 1010, 1998, 4675, 4168, 3022, 14900, 1012, 1996, 2034, 2093, 8107, 1006, 9740, 1010, 3653, 6633, 16790, 1010, 1998, 28283, 24413, 1007, 2024, 13135, 5761, 2000, 3457, 2114, 4491, 1010, 1998, 1996, 3732, 2093, 1006, 13366, 2571, 7542, 1010, 10788, 1010, 1998, 4675, 4168, 3022, 14900, 1007, 2024, 3161, 5761, 2000, 4047, 3787, 1999, 1037, 2291, 1012, 2116, 1997, 2122, 8107, 2024, 8331, 1010, 1998, 2064, 2022, 2109, 2012, 2116, 2685, 2802, 1996, 2832, 1517, 2077, 1010, 2044, 1010, 2030, 2076, 4491, 1012, 7539, 1997, 1996, 18444, 2030, 2344, 1997, 10813, 1010, 8909, 8583, 2024, 4187, 3001, 2008, 11487, 1998, 2552, 2114, 4491, 1999, 1037, 3528, 1997, 3971, 1012, 1999, 2397, 4134, 1010, 6950, 1031, 2484, 1010, 2676, 1033, 12235, 6340, 2220, 2613, 1011, 2051, 8909, 8583, 1010, 2116, 1997, 2029, 4846, 14930, 1997, 8085, 1998, 5248, 1011, 2241, 5461, 2011, 2206, 11085, 4168, 1998, 17838, 1521, 1055, 2416, 8107, 1012, 2004, 2051, 5078, 2006, 1010, 2174, 1010, 1998, 2897, 4026, 2506, 2049, 1999, 10288, 6525, 3468, 3930, 1010, 2122, 3001, 2150, 4895, 6528, 3085, 1999, 2613, 1011, 2051, 1010, 2061, 6950, 2031, 2579, 2000, 1996, 6112, 2000, 12486, 2039, 4106, 1998, 9798, 1997, 2897, 24554, 10788, 1012, 2478, 18619, 2015, 1999, 24554, 10788, 2348, 1996, 17289, 8107, 1998, 5461, 6551, 5301, 24554, 10788, 5461, 2802, 2627, 5109, 1010, 2116, 6950, 2031, 5275, 2005, 1996, 5197, 1997, 18619, 2015, 1999, 24554, 10788, 1012, 2006, 1996, 3302, 1010, 18619, 2015, 2453, 4025, 2066, 2019, 3733, 4018, 2005, 7620, 1997, 2122, 3001, 1012, 2044, 2035, 1010, 18619, 2015, 2433, 1996, 3978, 2005, 28685, 10788, 1999, 2060, 9428, 3141, 2752, 1997, 3274, 2671, 1010, 2107, 2004, 12403, 2213, 1011, 10788, 1012, 2174, 1010, 18619, 2015, 3685, 2022, 4162, 2000, 24554, 10788, 3495, 1012, 25158, 2099, 1998, 6643, 2595, 3385, 14801, 1037, 2193, 1997, 7860, 2005, 18619, 2015, 1999, 24554, 10788, 1010, 20655, 1996, 2755, 2008, 3698, 4083, 5906, 2024, 2087, 26398, 2012, 4531, 4023, 2714, 2000, 2242, 3130, 2464, 1010, 2029, 3632, 2114, 1996, 2236, 6210, 1997, 1996, 28685, 1011, 2241, 24554, 10788, 5461, 2008, 6148, 2000, 6709, 3117, 4491, 1012, 1999, 2804, 1010, 1996, 2152, 3465, 1997, 10697, 1010, 3768, 1997, 2731, 2951, 1010, 1998, 8216, 28436, 1997, 7953, 2951, 2035, 17727, 14728, 1996, 10439, 19341, 8553, 1997, 18619, 2015, 2000, 24554, 10788, 1012, 2750, 2122, 6196, 7860, 1010, 6950, 2031, 26176, 3471, 1998, 2764, 18619, 2015, 2005, 24554, 10788, 1012, 2917, 1010, 2057, 2097, 6848, 3522, 12607, 2015, 1999, 1996, 2492, 1997, 18619, 2015, 1999, 24554, 10788, 1010, 20655, 1996, 2470, 2008, 2003, 5147, 12786, 1996, 7860, 2008, 25158, 2099, 1998, 6643, 2595, 3385, 2034, 2275, 5743, 1999, 2230, 1012, 2023, 2470, 3227, 13495, 2048, 4127, 1997, 18619, 2015, 1517, 9324, 2075, 1998, 5579, 13792, 1517, 2029, 2024, 2641, 7218, 2005, 24554, 10788, 5461, 1012, 9324, 2075, 2003, 1037, 2433, 1997, 4895, 6342, 4842, 11365, 2098, 3698, 4083, 2008, 2515, 2025, 11160, 2006, 2731, 2951, 2030, 5579, 4275, 1012, 2612, 1010, 2009, 19584 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2076, 1996, 4883, 3049, 1010, 1996, 2521, 2157, 1043, 10626, 7810, 7067, 28619, 2078, 2004, 1037, 9458, 2040, 2288, 6875, 1998, 1000, 4900, 2166, 1012, 1000, 2085, 2008, 2016, 2038, 15048, 2000, 2224, 2014, 2219, 2376, 2000, 3713, 2041, 2055, 1996, 7860, 1997, 2220, 2388, 9021, 1010, 1996, 2755, 2008, 1000, 14689, 10196, 5897, 1011, 2069, 1011, 2127, 1011, 3510, 1000, 2003, 4895, 22852, 6553, 1010, 1998, 1996, 2342, 2005, 2613, 3348, 3968, 1010, 2027, 2024, 6886, 2014, 2104, 1996, 3902, 1012, 2122, 4364, 2024, 3809, 2055, 2037, 8050, 2923, 8909, 8780, 21615, 1012, 1000, 1996, 3147, 2524, 8866, 14899, 10661, 2008, 14689, 10196, 5897, 2003, 4895, 22852, 6553, 1000, 2003, 1996, 2516, 1997, 1037, 4861, 2011, 1996, 2120, 14689, 10196, 5897, 2495, 4632, 23909, 1006, 6583, 5243, 1007, 14120, 2000, 7067, 28619, 2078, 1521, 1055, 4357, 2006, 4419, 2007, 26111, 3158, 10514, 6238, 2368, 1012, 9120, 2256, 2147, 1029, 2128, 20357, 2003, 1037, 2512, 1011, 5618, 2981, 2865, 4772, 1012, 2115, 4171, 1011, 2139, 8566, 6593, 7028, 6691, 7126, 2490, 2256, 2470, 1010, 7316, 1010, 1998, 4106, 1012, 2029, 2187, 2033, 6603, 1024, 2029, 3147, 2524, 8866, 2024, 2027, 3331, 2055, 1029, 1996, 4861, 2758, 1024, 2076, 4532, 28619, 2078, 1521, 1055, 3522, 3580, 1011, 4883, 7226, 1010, 2014, 17204, 9458, 2684, 7067, 1521, 1055, 10032, 2150, 1037, 2980, 3049, 8476, 1012, 2004, 1037, 3582, 1011, 2039, 3189, 2006, 2023, 17075, 2529, 3037, 2466, 1010, 4419, 2739, 12268, 26111, 3158, 10514, 6238, 2368, 1010, 2356, 7067, 28619, 2078, 2055, 14689, 10196, 5897, 1012, 7067, 4207, 2014, 3193, 2008, 1523, 14689, 10196, 5897, 2003, 1529, 1012, 2025, 12689, 2012, 2035, 1524, 1012, 2009, 2003, 8343, 2008, 2865, 1010, 9428, 7422, 2000, 2671, 2241, 2470, 1010, 2003, 4248, 2000, 4366, 7067, 28619, 2078, 1521, 1055, 3325, 2004, 6947, 3893, 2008, 14689, 10196, 5897, 2495, 2005, 2035, 13496, 2323, 2203, 1012, 2034, 1010, 2292, 1521, 1055, 2404, 4998, 1996, 2200, 12382, 6412, 1997, 4419, 2004, 1000, 2865, 9428, 7422, 2000, 2671, 1011, 2241, 2470, 1012, 1000, 2009, 2003, 2205, 25012, 1012, 1996, 2364, 2391, 1024, 1045, 2031, 2025, 2657, 3087, 1010, 5973, 1010, 6592, 2008, 1000, 14689, 10196, 5897, 2495, 2005, 2035, 13496, 2323, 2203, 1012, 1000, 2738, 1010, 2116, 2031, 2056, 2077, 2033, 1010, 1998, 1045, 2031, 5275, 2182, 1006, 5262, 2074, 2023, 2733, 1007, 2008, 2976, 4804, 2005, 14689, 10196, 5897, 1011, 2069, 1011, 2127, 1011, 3510, 2495, 2323, 2203, 1012, 2004, 2574, 2004, 2825, 1012, 1999, 2437, 2023, 4861, 1010, 1045, 2572, 9689, 2306, 1996, 3484, 1997, 1996, 2270, 2740, 1998, 12288, 4279, 1998, 1997, 1057, 1012, 1055, 1012, 2270, 6728, 5740, 2078, 1996, 4489, 2003, 2055, 4252, 2069, 14689, 10196, 5897, 1006, 2029, 1010, 4117, 2007, 22369, 2592, 2055, 3348, 1010, 4182, 2491, 1010, 4424, 4767, 1010, 1998, 1996, 4395, 1997, 2308, 2003, 2054, 2372, 1997, 6583, 5243, 2079, 1007, 2030, 2478, 8321, 2592, 2000, 8627, 2613, 13105, 1997, 14689, 10196, 5897, 1998, 4424, 8536, 2096, 2036, 1041, 15549, 14853, 13496, 2007, 13726, 3348, 4813, 2005, 2043, 2027, 2079, 2468, 12581, 3161, 1012, 1996, 2280, 2031, 3478, 1010, 1996, 3732, 2147, 1012, 1045, 2180, 1521, 1056, 24964, 14621, 2618, 2182, 2035, 1996, 3350, 1010, 2138, 2009, 2003, 8077, 4201, 2041, 1010, 8832, 1998, 5799, 1999, 2026, 3041, 9927, 1010, 1998, 2006, 1996, 11744, 1997, 2092, 1011, 9768, 4411, 2107, 2004, 9033, 8586, 2271, 1010, 13010, 2005, 3360, 1010, 1996, 2120, 3049, 2000, 4652, 9458, 1998, 4895, 24759, 20147, 2094, 10032, 1010, 9535, 29418, 7474, 2820, 1998, 2116, 2500, 1012, 2021, 6583, 5243, 2515, 2054, 2027, 1998, 2060, 2967, 2040, 3579, 2062, 2006, 13165, 2084, 3350, 2079, 2190, 1024, 2027, 9792, 2616, 1998, 8866, 2000, 4906, 2037, 21233, 1012, 2034, 2027, 4366, 1996, 2206, 1024, 1998, 1037, 3652, 2303, 1997, 2470, 3065, 2008, 2092, 1011, 6472, 14689, 10196, 5897, 2495, 3454, 2024, 14313, 8052, 3463, 1012, 9616, 1029, 5227, 2000, 12455, 2012, 6583, 5243, 1024, 7604, 3531, 999, 2144, 2027, 7477, 6588, 2069, 2360, 2112, 1997, 2054, 2027, 2812, 1010, 2138, 2037, 2372, 2035, 2448, 14689, 10196, 5897, 1011, 2069, 1011, 2127, 1011, 3510, 3454, 1010, 2027, 28679, 1996, 5981, 1998, 28616, 19738, 2094, 2011, 2025, 7727, 2000, 1996, 3350, 12843, 1996, 2200, 3454, 2027, 2490, 1012, 2153, 1010, 2156, 2023, 2733, 1521, 1055, 9927, 2695, 2005, 1037, 7177, 1997, 2981, 3350, 2008, 25416, 10421, 2015, 2023, 4861, 1012, 1996, 6583, 5243, 4861, 3632, 2006, 2000, 2360, 1024, 2096, 7067, 1521, 1055, 2466, 3084, 2005, 2019, 5875, 2529, 1011, 3037, 2466, 1010, 2014, 7615, 2323, 2025, 2022, 1996, 3978, 2000, 2433, 2270, 3343, 2006, 1996, 3375, 3277, 1997, 9458, 3348, 2926, 2065, 2057, 2298, 2012, 1996, 8866, 4953, 1996, 9458, 4424, 4023, 1012, 2429, 2000, 1996, 26629, 1010, 1996, 7017, 1997, 13496, 2008, 2031, 4217, 2025, 2000, 2031, 3348, 2038, 13763, 2013, 3429, 1012, 1023, 1003, 1999, 2889, 2000, 4720, 1012, 1016, 1003, 1999, 2289, 1012, 11757, 1010, 2023, 3112, 2003, 1999, 1996, 12930, 1997, 2019, 6233, 4424, 3550, 3226, 2008, 23262, 26563, 8486, 9080, 1010, 10017, 9458, 3348, 2004, 10990, 1010, 2302, 9509, 1010, 1998, 3517, 5248, 1012, 1996, 2755, 2003, 2087, 13496, 2024, 14689, 10196, 3372, 1012, 2045, 2024, 8817, 1997, 13496, 2005, 2029, 14689, 10196, 5897, 2003, 2025, 2069, 12689, 1010, 2021, 2003, 2037, 4217, 9580, 1012, 2019, 7481, 2298, 2012, 1996, 6747, 23283, 2023, 2755, 1012, 2821, 1529, 1045, 2156, 1012, 1045, 3984, 2009, 2001, 7929, 2008, 1000, 7067, 1521, 1055, 2466, 1000, 2022, 2109, 2000, 5326, 2270, 3343, 2043, 2016, 2081, 1996, 3601, 2000, 2562, 2014, 3336, 1010, 1037, 3601, 2008, 2499, 2005, 2014, 2021, 2008, 6880, 2081, 2014, 1996, 13082, 2775, 2005, 1996, 2576, 19509, 1997, 2014, 2388, 1998, 1997, 1996, 2521, 2157, 1999, 1996, 11324, 5981, 1012, 1999, 2755, 2014, 2388, 2481, 1521, 1056, 9507, 22602, 1996, 4419, 4357, 2000, 1000, 2275, 1996, 2501, 3442, 1000, 2006, 2054, 7067, 2428, 3214, 1012, 1006, 2085, 2008, 7067, 1521, 1055, 1037, 3566, 2064, 2016, 3713, 2005, 2841, 1029, 1029, 1007, 1045, 2572, 2469, 7067, 1521, 1055, 16718, 2987, 1521, 1056, 2393, 2014, 2388, 1521, 1055, 3298, 2000, 2022, 3035, 1997, 1996, 11087, 1011, 2157, 1999, 2262, 1012, 1045, 5674, 2270, 3922, 2005, 7067, 2089, 2022, 2261, 1998, 2521, 2090, 1999, 1996, 2379, 2925, 1012, 1999, 2755, 1010, 7067, 2089, 2031, 2042, 2741, 2000, 2014, 2282, 20733, 1012, 5262, 1010, 6583, 5243, 3957, 2178, 1062, 9912, 2000, 7067, 2011, 3038, 1024, 1996, 3147, 2524, 2755, 2746, 2041, 1997, 7397, 2003, 2008, 2025, 2035, 13496, 5454, 14689, 10196, 5897, 2021, 2057, 2323, 2022, 6628, 2011, 1996, 2755, 2008, 1996, 3484, 23281, 1012, 8401, 1012, 7067, 4415, 2038, 2439, 2814, 1012, 2016, 2003, 2053, 2936, 1996, 2611, 2040, 1000, 2081, 1037, 6707, 1998, 2081, 1996, 3601, 2005, 2166, 1010, 1000, 2021, 2019, 1000, 17204, 9458, 1000, 2040, 2481, 1521, 1056, 2562, 2014, 4253, 2006, 1012, 2066, 1045, 2056, 7483, 1010, 2023, 2611, 2038, 18453, 1012, 1998, 2016, 2097, 2342, 2068, 1012, 2021, 2067, 2000, 6583, 5243, 1521, 1055, 23617, 2008, 1000, 2087, 13496, 2024, 14689, 10196, 3372, 1012, 1000, 2182, 2153, 1010, 2027, 8526, 1999, 1996, 5156, 3653, 23102, 2140, 1011, 12814, 1997, 2616, 1998, 8474, 1012, 1996, 3160, 2003, 1024, 2029, 13496, 1010, 2012, 2054, 2287, 1029, 2009, 2003, 2995, 2008, 2287, 2012, 2034, 4424, 23198, 2038, 3445, 1012, 2429, 2000, 2951, 9227, 2013, 2536, 4216, 2011, 1996, 9535, 29418, 7474, 2820, 1010, 13496, 2024, 5262, 3403, 2936, 2000, 2031, 3348, 2084, 2027, 2106, 1999, 1996, 2410, 1003, 1997, 3801, 1998, 2321, 1003, 1997, 3767, 4793, 2321, 1011, 2539, 1999, 2526, 2018, 2018, 3348, 2077, 2287, 2321, 1010, 4102, 2007, 2539, 1003, 1998, 2538, 1003, 1010, 4414, 1010, 1999, 2786, 1012, 2023, 2003, 1037, 2200, 2204, 2518, 1012, 2021, 2009, 2003, 2025, 2995, 2008, 1000, 2087, 13496, 2024, 14689, 10196, 3372, 1000, 4983, 2017, 2024, 3331, 2069, 2055, 13496, 5535, 2385, 1998, 2104, 1012, 2292, 1521, 1055, 2298, 2012, 1996, 8866, 1024, 3080, 13496, 2024, 2172, 2062, 3497, 2000, 2022, 12581, 3161, 1012, 2153, 1010, 2429, 2000, 9535, 29418, 7474, 1024, 1011, 3053, 2431, 1006, 4805, 1003, 1007, 1997, 2035, 2321, 1011, 2539, 1011, 2095, 1011, 19457, 1999, 1996, 2142, 2163, 2031, 2018, 3348, 2012, 2560, 2320, 1012, 1011, 2011, 1996, 2051, 2027, 3362, 2287, 2539, 1010, 2698, 1999, 2184, 13496, 2031, 5117, 1999, 4424, 23198, 1012, 2138, 2087, 2402, 2111, 2031, 3348, 2005, 1996, 2034, 2051, 2012, 2055, 2287, 2459, 1010, 2021, 2079, 2025, 5914, 2127, 2037, 2690, 2030, 2397, 27074, 1010, 2402, 6001, 2024, 3497, 2000, 2022, 12581, 3161, 2077, 13516, 2005, 3053, 1037, 5476, 1012, 2023, 2965, 2027, 2342, 3860, 2013, 18162, 10032, 1998, 12581, 11860, 15245, 1012, 2070, 2089, 2196, 5914, 1025, 2070, 2024, 2025, 10142, 2583, 1012, 2070, 2089, 5454, 2000, 2022, 14689, 10196, 3372, 2127, 3510, 1012, 2008, 2003, 2037, 2157, 1998, 2037, 3653, 3217, 26792, 1012, 2500, 2097, 5454, 2000, 8526, 1999, 4424, 4023, 1012, 2323, 2057, 2074, 5466, 2068, 2035, 2104, 1996, 3902, 1029, 2030, 2079, 2057, 1041, 15549, 2361, 2068, 2220, 2006, 2007, 2204, 18875, 4813, 1010, 2966, 2135, 8321, 2592, 1010, 1998, 3229, 2000, 4182, 2491, 1006, 2164, 29094, 1007, 2008, 2064, 4652, 2593, 2028, 2030, 2119, 1997, 4895, 18447, 21945, 10032, 1998, 8985, 1012, 1998, 2292, 1521, 1055, 2022, 2613, 2182, 12455, 1024, 2111, 2224, 24528, 24422, 2306, 3510, 2000, 8536, 1010, 2686, 2030, 4652, 10032, 1010, 1998, 2104, 2116, 6214, 2089, 2342, 2000, 4652, 15245, 2005, 2166, 1012, 2061, 2057, 2024, 2025, 3331, 2055, 4813, 2005, 13496, 1012, 2057, 2024, 3331, 2055, 4813, 2005, 2111, 2383, 3348, 2802, 2037, 6480, 1012, 2122, 2024, 2025, 2070, 2060, 2427, 1997, 2108, 1012, 2122, 2111, 2024, 2035, 1997, 2149, 1012, 2017, 1998, 2033, 1010, 2256, 4268, 1010, 2882, 3211, 5104, 1010, 12286, 2015, 1010, 7833, 2015, 1010, 12334, 1010, 6469, 2336, 1010, 2643, 1011, 2336, 1012, 3071, 1012, 2062, 5025, 8866, 1024, 1528, 1037, 12581, 3161, 9458, 2040, 2515, 2025, 2224, 24528, 28687, 2015, 2038, 1037, 3938, 1003, 3382, 1997, 3352, 6875, 2306, 1037, 2095, 1012, 1528, 1996, 20910, 2003, 1996, 2087, 2691, 24528, 28687, 4118, 2109, 2012, 2034, 23198, 1025, 2009, 2001, 2109, 2011, 5764, 1003, 1997, 12581, 5281, 3801, 1998, 6390, 1003, 1997, 3767, 1012, 1528, 3053, 2035, 12581, 3161, 3801, 1006, 5818, 1003, 1999, 2526, 1007, 2031, 2109, 2012, 2560, 2028, 4118, 1997, 4182, 2491, 1012, 1996, 2087, 2691, 4725, 2109, 2024, 1996, 20910, 1006, 2109, 2012, 2560, 2320, 2011, 6365, 1003, 1007, 1998, 1996, 17357, 1006, 2109, 2012, 2560, 2320, 2011, 6079, 1003, 1007, 1012, 1528, 2012, 2087, 3522, 3348, 1010, 6640, 1003, 1997, 9458, 3801, 1998, 6205, 1003, 1997, 9458, 3767, 2109, 24528, 28687, 2015, 1012, 2122, 19173, 5050, 1037, 4417, 7620, 2144, 2786, 1010, 2043, 2069, 6390, 1003, 1997, 9458, 3801, 1998, 6445, 1003, 1997, 9458, 3767, 2018, 2109, 1037, 24528, 28687, 4118, 2012, 2197, 3348, 1012, 2061, 2057, 2113, 2008, 2445, 1996, 2157, 2592, 1998, 2731, 1010, 1996, 3484, 1997, 12581, 3161, 13496, 1998, 2402, 6001, 2040, 2079, 8526, 1999, 3348, 2097, 2191, 2204, 16646, 2015, 2055, 8650, 3209, 1012, 2256, 3105, 2003, 2000, 8627, 9474, 5248, 2043, 2027, 2079, 8526, 1999, 3348, 1010, 2025, 2000, 26453, 3775, 4371, 3860, 1012, 2664, 1010, 2000, 28667, 2666, 3726, 2976, 4804, 2104, 2783, 2565, 15182, 1010, 2429, 2000, 1996, 9353, 7630, 1024, 14689, 10196, 5897, 1011, 2069, 3454, 2442, 2031, 1996, 1000, 7262, 3800, 1000, 1997, 4252, 1996, 6666, 1997, 14689, 10196, 5897, 1012, 2027, 2089, 2025, 8175, 24528, 28687, 2224, 2030, 6570, 24528, 28687, 4725, 3272, 2000, 17902, 2037, 4945, 6165, 1012, 2947, 1010, 15991, 1997, 2976, 14689, 10196, 5897, 1011, 2069, 1011, 2127, 1011, 3510, 5029, 5452, 2104, 1037, 18201, 3627, 2008, 8292, 29577, 2015, 8995, 2135, 2734, 2592, 1012, 3946, 10285, 2024, 3140, 2000, 18168, 4183, 2151, 5254, 1997, 7832, 2107, 2004, 24528, 24422, 1010, 11324, 1998, 8387, 2030, 2000, 2556, 2068, 1999, 2019, 12958, 1998, 3568, 24949, 4827, 1012, 5262, 1010, 2116, 1997, 2068, 2224, 3571, 1011, 2241, 9887, 2000, 3298, 2037, 4471, 2408, 1012, 1996, 6583, 5243, 2609, 18067, 2838, 1037, 4957, 2000, 2023, 8570, 2011, 1037, 4603, 9795, 2177, 1024, 1999, 2116, 2163, 1010, 2164, 9795, 1010, 3348, 2648, 3510, 2003, 2114, 1996, 2375, 1010, 1998, 2008, 2950, 9530, 5054, 6342, 2389, 3348, 2090, 12908, 1012, 3348, 2648, 3510, 1010, 3251, 1000, 2005, 12782, 3508, 1000, 2030, 1000, 29169, 1000, 2013, 1037, 3423, 3233, 8400, 1010, 2003, 16385, 3085, 2011, 2119, 1037, 2986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10271, 2472, 1052, 1012, 1046, 1012, 9762, 2015, 7566, 2055, 2197, 2095, 1521, 1055, 2718, 1520, 6702, 1997, 2668, 1521, 1998, 2049, 2047, 8297, 1520, 6702, 1997, 2668, 1024, 5469, 3441, 1521, 6702, 1997, 2668, 2003, 1037, 5469, 9637, 2008, 2718, 1996, 7519, 1998, 12472, 2000, 23289, 4391, 2197, 2095, 1012, 2025, 2919, 2013, 1037, 2177, 1997, 2814, 1999, 5612, 1010, 6274, 2769, 2004, 2027, 2253, 2247, 1012, 2144, 2059, 1010, 1045, 2031, 3427, 1996, 3185, 2048, 2062, 2335, 1010, 1998, 2009, 2038, 2428, 4961, 2006, 2033, 1012, 2043, 1045, 2387, 2009, 1996, 2034, 2051, 1010, 1045, 6449, 2009, 2001, 3697, 2000, 2156, 2129, 2122, 2714, 2664, 2367, 5469, 9132, 2052, 2035, 2147, 2362, 1999, 1996, 2203, 1012, 2021, 2320, 1996, 3185, 2288, 2183, 1010, 1998, 1996, 2668, 2318, 2000, 4834, 1010, 1045, 3866, 2009, 999, 1996, 29238, 8496, 5419, 2004, 1045, 3062, 1999, 2175, 18752, 8873, 2278, 2293, 2007, 1996, 3441, 1012, 1999, 2023, 9637, 1010, 2045, 2024, 2274, 5501, 1998, 2093, 4898, 1012, 2026, 5440, 2001, 1996, 2197, 6903, 2011, 2472, 1013, 3213, 1052, 1012, 1046, 1012, 9762, 2015, 1006, 2002, 2036, 3544, 1999, 2009, 1007, 1010, 2029, 5079, 2362, 2035, 1996, 9214, 2007, 2070, 1997, 1996, 2190, 6742, 13638, 1045, 1521, 2310, 2464, 1999, 1037, 2096, 1012, 24665, 4017, 14663, 3560, 1010, 2748, 1012, 3565, 2152, 6627, 1010, 2053, 1012, 2021, 2009, 1521, 1055, 4569, 2823, 2074, 2000, 2031, 1037, 3185, 2022, 2055, 1996, 18296, 2545, 999, 2070, 1997, 1996, 5470, 5440, 5469, 22506, 1997, 2035, 2051, 1010, 2066, 14414, 1010, 5958, 1996, 6122, 1998, 6978, 1010, 2024, 2074, 1043, 10626, 7810, 13638, 17037, 2015, 1529, 1998, 2057, 3866, 2216, 1010, 2134, 1521, 1056, 2057, 1029, 1996, 2434, 6702, 1997, 2668, 2003, 2274, 6970, 12155, 8159, 7122, 1997, 14436, 1012, 2043, 1037, 11507, 3076, 29438, 2195, 1997, 2010, 2814, 2006, 14414, 2305, 2012, 1996, 2334, 3075, 2000, 2393, 2032, 3443, 1037, 2047, 3923, 5722, 1012, 2169, 2767, 4136, 2037, 2219, 5469, 2466, 1010, 2296, 6925, 4566, 2007, 9252, 8465, 1998, 2049, 2219, 19313, 9792, 1012, 1996, 2177, 4821, 10217, 2009, 2003, 5263, 2000, 3443, 2019, 3923, 5722, 2855, 1010, 2021, 2256, 11507, 3076, 2038, 2060, 2062, 14386, 3560, 3488, 1012, 2035, 1999, 2035, 1010, 2009, 2001, 14036, 1010, 12459, 1998, 2054, 1037, 5469, 9637, 2323, 2022, 1012, 1996, 19888, 10684, 2052, 2022, 7098, 1012, 1996, 5436, 2003, 1024, 1037, 3232, 2933, 2000, 5309, 2019, 2214, 2188, 2021, 2052, 2066, 2028, 2197, 2778, 2077, 1996, 5494, 1012, 2027, 1521, 2128, 8546, 2105, 1996, 3776, 2011, 1037, 17109, 2613, 4263, 2008, 2089, 2031, 2062, 1999, 3573, 2084, 2027, 17113, 2098, 2005, 1012, 6575, 2723, 2011, 2723, 1010, 2027, 4088, 2000, 7523, 1996, 11270, 1997, 2049, 2061, 17080, 2094, 1998, 17082, 2627, 1529, 1037, 2759, 3770, 1521, 1055, 6329, 4152, 1037, 2715, 12200, 1010, 2021, 2012, 2054, 3976, 1029, 2045, 2097, 2022, 1021, 1010, 4175, 1520, 7861, 1021, 1010, 7122, 1997, 7404, 1999, 2023, 8297, 999, 1052, 1012, 1046, 1012, 9762, 2015, 1521, 3260, 1999, 2219, 2010, 2616, 2001, 1523, 2000, 2191, 1996, 2190, 4365, 9637, 1997, 2355, 1524, 1012, 2758, 9762, 2015, 1010, 1523, 2009, 2318, 2004, 1037, 6896, 2622, 2005, 1037, 9129, 1997, 5469, 4599, 2008, 2359, 2000, 2191, 1037, 5469, 3185, 2005, 5469, 4599, 1012, 6702, 1997, 2668, 1024, 5469, 2466, 2003, 1037, 8297, 2008, 2038, 2025, 2069, 5622, 2912, 3468, 3494, 1010, 2307, 5436, 3210, 1010, 2021, 2035, 1996, 9577, 2058, 1011, 1996, 1011, 2327, 6742, 13638, 23292, 2008, 2017, 2064, 6073, 1037, 6703, 22475, 2012, 1012, 2256, 2650, 2501, 2038, 2042, 2275, 2007, 1996, 2034, 2143, 1010, 2035, 2017, 2031, 2000, 2079, 2003, 8224, 6702, 1997, 2668, 1998, 1996, 3945, 2097, 3713, 2005, 2993, 1012, 1524, 1052, 1012, 1046, 1012, 9762, 2015, 2179, 1037, 2978, 1997, 2051, 1999, 2010, 5697, 2166, 2000, 2507, 2033, 2019, 4357, 1012, 2057, 5720, 2055, 1996, 2434, 6702, 1997, 2668, 1010, 1996, 2047, 8297, 1010, 1998, 2172, 1010, 2172, 2062, 1012, 4357, 2007, 1052, 1012, 1046, 1012, 9762, 2015, 1052, 1012, 1046, 1012, 9762, 2015, 1024, 1523, 1045, 2001, 2141, 1010, 2992, 1998, 2444, 1999, 14824, 12691, 1010, 18712, 2007, 2026, 12476, 2564, 16864, 1998, 2256, 2048, 3337, 6307, 1998, 6720, 1012, 1045, 1521, 1049, 1996, 2472, 1997, 4087, 3136, 2012, 1037, 2375, 3813, 1012, 1045, 1521, 2310, 2042, 5667, 4830, 15343, 1999, 1996, 10271, 2143, 5196, 2144, 2289, 1012, 2061, 2521, 1010, 2009, 1521, 1055, 2042, 2019, 9788, 4990, 1012, 5440, 5469, 2143, 1029, 1045, 2031, 1037, 14533, 2862, 1997, 20672, 1010, 2021, 1996, 2143, 2008, 2288, 2033, 4699, 3475, 1521, 1056, 2130, 1037, 1523, 5469, 1524, 2143, 1010, 2130, 2295, 2009, 2515, 3745, 2070, 6459, 1012, 5745, 8286, 7747, 2003, 2026, 2035, 1011, 2051, 5440, 1010, 2628, 2039, 2011, 1996, 6071, 4686, 1012, 1045, 2071, 2175, 2006, 2005, 2420, 2007, 2035, 1996, 5469, 3152, 1045, 2293, 1998, 2219, 1012, 2474, 2480, 2290, 1024, 2054, 2081, 2017, 5630, 2000, 2131, 2046, 1996, 5469, 6907, 1029, 1052, 22578, 1024, 1523, 1045, 2318, 2041, 2725, 5980, 1998, 2521, 2102, 8257, 22092, 1010, 2021, 2009, 2001, 1037, 18296, 2121, 2460, 1999, 2267, 2008, 2428, 13551, 2039, 2026, 5782, 2000, 2079, 5469, 1012, 2086, 2101, 1045, 2626, 1013, 2856, 2026, 2034, 5469, 2143, 2170, 2534, 15568, 6574, 1024, 14574, 2006, 2117, 2395, 1012, 2009, 2001, 1037, 4066, 1997, 4961, 2039, 18296, 2121, 2544, 1997, 8040, 9541, 3762, 20160, 1012, 2009, 2288, 3816, 4391, 1010, 2021, 3452, 2009, 2001, 1037, 2843, 1997, 4569, 1998, 1996, 2524, 2147, 3825, 2125, 1012, 4821, 1010, 1045, 5881, 2007, 2009, 1998, 2506, 2000, 2147, 1999, 1996, 2088, 1997, 5469, 1012, 2008, 2776, 2419, 2033, 2006, 1996, 4130, 1997, 4526, 6702, 1997, 2668, 1010, 2029, 2038, 2357, 2041, 2000, 2022, 2028, 1997, 2026, 2087, 21570, 24466, 6322, 2664, 1012, 1524, 2474, 2480, 2290, 1024, 6702, 1997, 2668, 1998, 6702, 1997, 2668, 1024, 5469, 3441, 2024, 25675, 1012, 2054, 2081, 2017, 2175, 2007, 2008, 4289, 1029, 1052, 22578, 1024, 1523, 7714, 1045, 2293, 2551, 2007, 2060, 3324, 1529, 5792, 2003, 2074, 10990, 1012, 2054, 2488, 2126, 2000, 2079, 2008, 2084, 1999, 2019, 9637, 1029, 2086, 3283, 1010, 1045, 2699, 2000, 2147, 2006, 2028, 2007, 2070, 2500, 1010, 2021, 2498, 2428, 2288, 2125, 1996, 2598, 1012, 2009, 2074, 2347, 1521, 1056, 1996, 2157, 2051, 1045, 6814, 1012, 2059, 1999, 2297, 1010, 1996, 4495, 2000, 3443, 2019, 9637, 2622, 3333, 2046, 2026, 5001, 3081, 1996, 2334, 3075, 1517, 1998, 1996, 4145, 1997, 6702, 1997, 2668, 2001, 2141, 1012, 1524, 2474, 2480, 2290, 1024, 2064, 2017, 2425, 2033, 2055, 2310, 17625, 5988, 3152, 1998, 4895, 22483, 2098, 2143, 2082, 1012, 2009, 3504, 2066, 1996, 2878, 2237, 2288, 2920, 1029, 1052, 22578, 1024, 1523, 18315, 2003, 1996, 21937, 2008, 1045, 1521, 2310, 2042, 2551, 2104, 2005, 2086, 1010, 2021, 1045, 3728, 12597, 2039, 2007, 2026, 5541, 4256, 1013, 2190, 2767, 4388, 15876, 5488, 7092, 1010, 1998, 2057, 2318, 2668, 4231, 4620, 1012, 2310, 17625, 5988, 2145, 6526, 1010, 2021, 2009, 3701, 16024, 3784, 4180, 1012, 1038, 8737, 2003, 2256, 2047, 2194, 2008, 2057, 2933, 2000, 3965, 2035, 2256, 2925, 3152, 2083, 2107, 2004, 1996, 8297, 6702, 1997, 2668, 1024, 5469, 3441, 1012, 1996, 4895, 22483, 2098, 2143, 2082, 2234, 2013, 1996, 10271, 2143, 2186, 1045, 2318, 2012, 1996, 3075, 2004, 1037, 2342, 2000, 2191, 10271, 2143, 2062, 13338, 1999, 2256, 2451, 1012, 2036, 1010, 2009, 2001, 1037, 2126, 2000, 2330, 6695, 2005, 2216, 2040, 2215, 2000, 5589, 1999, 2008, 4066, 1997, 2518, 2021, 2134, 1521, 1056, 2113, 2129, 1012, 1045, 2876, 1521, 1056, 2360, 1996, 2878, 2237, 2001, 2920, 1012, 2045, 2001, 1037, 2843, 1997, 2490, 2021, 1010, 2566, 5156, 1010, 2045, 2073, 2115, 5171, 11265, 18377, 2360, 2545, 2030, 2216, 2008, 4366, 2000, 2293, 1996, 2840, 2021, 2359, 2498, 2000, 2079, 2007, 1996, 2622, 1012, 3452, 2295, 1010, 2009, 2001, 1037, 3112, 1998, 2038, 2419, 2000, 7046, 1998, 2488, 2477, 1012, 1524, 2474, 2480, 2290, 1024, 2026, 5440, 18201, 1999, 29536, 2497, 2003, 1996, 14745, 2015, 1999, 1996, 3239, 1998, 1996, 2978, 2055, 2478, 17710, 10649, 6279, 999, 2040, 2787, 2006, 2035, 1996, 2367, 6677, 1998, 2040, 2106, 5789, 1029, 1052, 22578, 1024, 1523, 1045, 2234, 2039, 2007, 1037, 3484, 1997, 1996, 2331, 10071, 1012, 6927, 3235, 2018, 2517, 1523, 1037, 2210, 4060, 2033, 2039, 1524, 1998, 2522, 1011, 2626, 1523, 12204, 16795, 5555, 1524, 2007, 7150, 2726, 4971, 26455, 1010, 2061, 2027, 2234, 2039, 2007, 2216, 6677, 1012, 1045, 2359, 1037, 2312, 2303, 4175, 1012, 15798, 2057, 2020, 2583, 2000, 2191, 2008, 4148, 1012, 2746, 2039, 2007, 9603, 1998, 5541, 3971, 2005, 3494, 2000, 6805, 1996, 6497, 2003, 2074, 1037, 8479, 2000, 2079, 1012, 7059, 23929, 2140, 2106, 2035, 1996, 2569, 3896, 2147, 1010, 1998, 2009, 2001, 13352, 2140, 1012, 2016, 2018, 1037, 2200, 4714, 5166, 2000, 2147, 2006, 1012, 2054, 2016, 2766, 2125, 2007, 2107, 2033, 17325, 3361, 4219, 2001, 12476, 1012, 1524, 2474, 2480, 2290, 1024, 2064, 2017, 2425, 2149, 2070, 3441, 2055, 1996, 2437, 1997, 6702, 1997, 2668, 1029, 1052, 22578, 1024, 1523, 2028, 2466, 2008, 4152, 2409, 2058, 1998, 2058, 2001, 1996, 2305, 2008, 2057, 6361, 1996, 1523, 14745, 2331, 1524, 1012, 1996, 3364, 2001, 4913, 7084, 1010, 1037, 2334, 2557, 3677, 2008, 2001, 17274, 2370, 1012, 2008, 2305, 1045, 2018, 5115, 2195, 2331, 5019, 1998, 1037, 2261, 10238, 1998, 4515, 2008, 2734, 2000, 2461, 2041, 1996, 10236, 2105, 2466, 1012, 2012, 1996, 2168, 2051, 2006, 1996, 2117, 2723, 2027, 2020, 7467, 1523, 1037, 2210, 4060, 2033, 2039, 1524, 2007, 10297, 21863, 24092, 1998, 5469, 5440, 3958, 1051, 1521, 4373, 1012, 2057, 6361, 2035, 1997, 4913, 1521, 1055, 7982, 1998, 2059, 2002, 2018, 2000, 2175, 2046, 2191, 1011, 2039, 1012, 1045, 1521, 1049, 2025, 2469, 2129, 2146, 2002, 2001, 1999, 2045, 1010, 2021, 2320, 2002, 2001, 2736, 2002, 2234, 2091, 5108, 1012, 2057, 2020, 2055, 2000, 5607, 2010, 2028, 2915, 2073, 2002, 9010, 2010, 2132, 2067, 1010, 1998, 2008, 1521, 1055, 2043, 1523, 1996, 10530, 1524, 5537, 1045, 5115, 2211, 1529, 2061, 1045, 2018, 2000, 2448, 2648, 1998, 13530, 2035, 1996, 2610, 1998, 10771, 2096, 13012, 2532, 14206, 2035, 1996, 26279, 1012, 1999, 1996, 12507, 1010, 4913, 3632, 1998, 25734, 3658, 2091, 2006, 1037, 2795, 1999, 1996, 2067, 1997, 1996, 3075, 1012, 2146, 2466, 2460, 1010, 2057, 2985, 3053, 2048, 2847, 2648, 5008, 2023, 5537, 1012, 2004, 2574, 2004, 2009, 1521, 1055, 2058, 1010, 13012, 2532, 7365, 2058, 1998, 2758, 1010, 1523, 2106, 2017, 5293, 2008, 4913, 2038, 2042, 3403, 2000, 5607, 2010, 2331, 3496, 2023, 2878, 2051, 999, 1029, 1524, 1045, 2001, 2066, 1010, 1523, 2821, 4485, 999, 1524, 1045, 2288, 3236, 2039, 1999, 2035, 1996, 8277, 1998, 2018, 6404, 2032, 1012, 1045, 2371, 2066, 2107, 1037, 2079, 19140, 1012, 4913, 2001, 1037, 2428, 2204, 4368, 1998, 2001, 4658, 2007, 2009, 2035, 1025, 2002, 2001, 2074, 7568, 2000, 2131, 2730, 1999, 1996, 2143, 1012, 2010, 2331, 2003, 2028, 1997, 2026, 20672, 2205, 1010, 2021, 13012, 2532, 2180, 1521, 1056, 2292, 2033, 2444, 2009, 2091, 2008, 1045, 9471, 2032, 2005, 2048, 2847, 1012, 1524, 2474, 2480, 2290, 1024, 3015, 1010, 9855, 1010, 5155, 1010, 3772, 1029, 2054, 2003, 2115, 5440, 1029, 1052, 22578, 1024, 1523, 1045, 5078, 1037, 2843, 1997, 16717, 2006, 1996, 3152, 1012, 3135, 1998, 1996, 2717, 1012, 1045, 2123, 1521, 1056, 5136, 2870, 2172, 1997, 2019, 3364, 1012, 1045, 2699, 2000, 6293, 2000, 1996, 5896, 1010, 2021, 1045, 8631, 1998, 3492, 2172, 2074, 4748, 1011, 5622, 15499, 2026, 2112, 1012, 1998, 1045, 2626, 1996, 4365, 2518, 1012, 2009, 2001, 3835, 2000, 2131, 2067, 2046, 1996, 2472, 1521, 1055, 3242, 2153, 2007, 1523, 1043, 14949, 14626, 1524, 1010, 2138, 2009, 2435, 2033, 1037, 3382, 2000, 2079, 2242, 2367, 1012, 2174, 1010, 5155, 2003, 2054, 1045, 5959, 1996, 2087, 1012, 1045, 2288, 2000, 2147, 2006, 2296, 2460, 1998, 2007, 2035, 1996, 5848, 1999, 2070, 3977, 1010, 1998, 2008, 2001, 10990, 1012, 5155, 2064, 2022, 2200, 6911, 3993, 1010, 1998, 2437, 25675, 2024, 28961, 15446, 1012, 2021, 2043, 2673, 4821, 3310, 2362, 1996, 2126, 2009, 2323, 1010, 2009, 1521, 1055, 2019, 12476, 3110, 1012, 1524, 2474, 2480, 2290, 1024, 2054, 2003, 2115, 5440, 2112, 2055, 2437, 5691, 1029, 1052, 22578, 1024, 1523, 1045, 2293, 2009, 2005, 1037, 2843, 1997, 4436, 1012, 1996, 5541, 2832, 2108, 1996, 2087, 2590, 1012, 1045, 2109, 2000, 4339, 7887, 1010, 1998, 2043, 1045, 2633, 2018, 1996, 3754, 2000, 2202, 2242, 1045, 2626, 1998, 2191, 2009, 2272, 2000, 2166, 1045, 2001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8797, 1999, 2974, 1010, 2895, 8629, 2024, 2893, 25670, 1010, 3760, 1998, 2062, 15184, 1012, 2004, 2521, 2004, 3746, 3737, 1998, 6627, 1011, 2112, 2024, 4986, 1010, 2027, 1521, 2128, 1037, 11007, 4522, 2000, 3180, 11503, 27108, 13375, 1012, 1996, 2327, 6758, 2895, 8629, 2064, 5425, 1996, 9543, 10458, 2978, 1997, 4751, 2053, 3043, 2073, 1998, 2129, 2017, 2224, 2009, 1012, 2027, 2064, 5788, 1996, 2087, 24665, 15808, 8462, 3785, 1006, 2130, 2104, 2300, 1007, 1998, 5425, 3469, 2084, 2166, 5312, 2302, 2151, 21146, 4939, 7971, 2030, 5005, 1012, 2017, 2113, 2054, 2009, 2515, 2021, 2017, 2123, 1521, 1056, 2113, 2129, 2000, 5454, 1037, 2895, 4950, 2008, 2515, 2009, 1996, 2190, 1010, 2079, 2017, 1029, 2092, 1010, 2044, 21660, 2135, 20059, 1010, 15252, 1998, 5604, 2005, 2420, 1010, 1045, 2031, 3266, 2000, 4867, 2091, 1996, 2862, 1997, 2190, 2895, 8629, 2000, 1018, 3688, 1012, 2190, 2895, 8629, 2418, 2175, 21572, 1516, 5394, 2629, 2304, 1018, 2243, 11087, 10751, 2300, 18907, 4950, 2175, 21572, 2003, 3383, 1996, 2087, 5720, 1011, 2055, 1998, 4912, 1011, 2044, 2895, 8629, 1997, 1996, 2783, 5476, 1012, 2009, 2003, 2019, 9725, 2544, 1997, 1996, 5394, 2549, 2186, 2029, 4265, 2013, 1996, 3768, 1997, 1037, 3543, 18182, 1012, 1996, 5394, 2629, 2025, 2069, 6149, 2015, 2009, 2007, 1037, 1016, 1532, 3543, 18182, 2021, 2036, 15173, 1037, 2878, 9129, 1997, 2047, 1998, 10990, 2838, 1999, 2009, 1012, 2023, 7163, 1011, 8348, 2003, 2062, 2084, 2074, 1037, 4950, 1012, 2429, 2000, 1996, 7751, 1010, 5394, 2629, 2003, 1996, 2087, 3928, 4950, 2027, 2031, 2081, 2061, 2521, 1012, 2009, 11758, 2678, 2012, 1018, 2243, 5813, 1012, 9308, 1010, 2009, 2036, 11082, 2017, 4685, 1996, 3937, 9260, 1998, 3745, 6876, 2007, 2115, 12455, 6880, 1012, 2588, 2635, 1996, 4031, 1999, 2026, 2192, 1010, 1996, 2034, 2518, 2008, 3236, 2026, 3086, 2003, 1996, 26572, 26190, 3686, 3847, 2247, 2007, 1996, 29445, 8278, 1012, 1996, 25222, 2075, 2003, 2300, 18907, 2039, 2000, 3943, 3027, 1012, 2108, 2019, 6172, 2998, 29550, 2870, 1010, 1045, 2113, 1996, 3643, 1997, 2107, 1037, 3082, 1011, 4611, 2810, 1012, 1045, 2001, 15936, 2000, 2424, 2041, 1996, 2376, 1011, 2491, 3169, 2009, 4107, 1012, 2398, 1011, 2489, 3169, 2003, 1037, 2502, 5056, 2096, 4488, 28465, 2030, 2725, 2242, 24646, 11837, 26797, 2015, 2066, 21122, 18372, 8660, 1012, 2746, 2000, 1996, 2364, 12944, 1997, 2023, 2235, 2895, 4950, 1010, 1996, 2678, 1998, 3746, 3737, 2024, 14726, 2005, 2019, 2895, 4950, 1012, 2009, 11082, 2017, 5425, 6876, 2039, 2000, 1018, 2243, 5813, 2012, 2382, 1042, 4523, 1998, 2036, 10715, 2692, 2361, 2012, 6036, 1042, 4523, 1012, 4283, 2000, 1996, 3746, 28715, 1010, 1045, 2123, 1521, 1056, 2031, 2000, 4737, 2055, 2026, 10147, 13871, 2135, 2608, 4902, 1012, 1999, 2804, 2000, 2008, 1010, 1996, 5746, 3737, 2003, 2036, 4012, 3549, 20782, 2005, 1037, 4714, 4950, 2066, 2023, 1012, 1045, 1521, 2310, 2699, 4800, 4305, 2890, 7542, 2389, 3405, 1010, 1998, 1996, 2765, 2234, 2041, 2428, 2092, 1012, 2009, 2036, 4473, 11847, 7760, 1999, 6315, 4289, 2029, 3310, 18801, 2076, 1996, 2695, 1011, 6364, 1997, 1996, 4871, 1012, 2027, 2031, 2036, 2794, 1037, 7399, 1011, 3193, 4292, 2008, 6149, 2015, 1996, 20870, 1999, 2898, 1011, 6466, 4871, 1012, 2000, 2707, 5008, 1010, 2035, 2017, 2342, 2000, 2079, 2003, 2000, 2811, 1996, 5008, 6462, 2006, 1996, 2217, 2029, 2036, 2573, 2004, 1996, 2373, 6462, 1012, 2175, 21572, 5394, 2629, 2304, 2003, 2028, 1997, 1996, 2087, 7632, 1011, 6627, 2895, 8629, 2081, 2061, 2521, 2302, 1037, 4797, 1012, 2009, 2038, 1996, 15106, 1997, 2224, 1010, 6581, 3746, 3737, 1998, 2838, 1012, 2035, 2122, 3444, 2292, 2017, 2143, 6034, 5312, 2007, 2307, 4751, 1012, 1045, 2293, 1996, 3746, 28715, 3444, 2004, 1045, 2572, 2025, 2200, 2204, 2007, 27291, 5008, 1012, 2748, 1010, 2009, 2003, 2025, 1037, 4979, 1011, 5379, 5724, 2566, 7367, 1012, 2021, 2065, 2017, 1521, 2128, 3100, 2007, 5938, 12382, 2135, 2005, 1037, 2327, 1011, 18624, 2895, 4950, 1010, 2017, 2064, 2507, 2023, 2028, 1037, 3046, 1012, 11721, 27512, 6819, 15185, 11087, 2382, 2005, 1996, 6627, 1011, 7842, 2615, 10736, 1010, 6172, 1011, 26162, 9293, 2041, 2045, 1010, 1996, 11721, 27512, 6819, 15185, 2003, 1037, 3819, 5257, 1997, 6020, 2974, 1998, 3733, 8304, 1012, 1996, 3311, 1997, 1996, 2895, 4950, 2785, 1997, 6966, 2033, 1997, 2175, 21572, 5394, 2549, 1012, 2066, 2035, 11721, 27512, 8629, 1010, 2009, 2036, 21979, 1997, 1996, 1043, 1011, 2777, 17682, 2838, 1012, 2009, 3310, 1999, 1037, 2300, 18907, 25222, 2075, 1998, 2064, 5788, 2039, 2000, 1037, 5995, 1997, 2871, 5563, 1012, 2009, 2036, 2038, 1037, 3313, 1011, 14889, 7337, 2005, 2019, 2794, 6741, 1997, 3036, 1012, 1996, 3829, 1011, 7752, 2806, 4950, 2064, 2022, 3718, 2013, 1996, 25222, 2075, 2065, 3223, 1012, 2021, 1996, 2350, 12944, 1997, 2023, 2895, 4950, 2038, 2000, 2022, 2049, 23025, 3417, 1012, 2023, 4310, 3413, 1011, 2083, 3417, 3084, 2005, 2019, 7078, 8235, 5746, 3737, 1012, 2012, 2560, 2204, 2438, 2005, 2019, 2895, 4950, 2007, 1037, 2300, 18907, 25222, 2075, 1012, 9308, 1010, 2009, 2838, 1037, 3543, 18182, 2012, 1996, 2067, 2036, 2029, 4473, 2017, 2000, 2224, 1996, 3543, 18182, 2130, 2007, 1996, 2553, 2006, 1012, 2178, 6958, 5056, 2003, 1996, 2398, 1011, 2489, 3169, 1012, 3722, 10954, 2066, 1523, 7929, 11721, 27512, 1523, 1010, 1523, 2707, 3405, 1523, 1010, 1523, 2644, 3405, 1524, 2097, 2393, 2017, 23313, 2115, 2972, 3579, 2000, 2115, 4023, 1012, 1997, 2607, 1010, 1996, 3444, 2987, 1521, 1056, 2147, 2004, 15299, 2004, 2009, 4165, 2021, 2748, 1010, 2009, 3310, 18801, 2926, 2043, 2017, 1521, 2128, 5559, 1037, 7997, 2030, 2998, 2482, 1012, 2017, 2123, 1521, 1056, 2031, 2000, 2202, 2115, 2398, 2125, 1996, 5047, 8237, 2015, 2030, 9602, 5217, 1012, 2178, 3114, 2339, 2009, 2003, 2028, 1997, 1996, 2087, 3444, 1011, 8209, 2998, 2895, 8629, 1997, 1996, 5476, 2003, 1996, 10502, 1997, 1037, 1043, 12541, 2891, 16186, 1010, 1037, 3347, 18721, 1010, 1998, 2019, 16222, 12260, 21716, 15141, 1012, 2995, 2008, 2122, 2838, 2180, 1521, 1056, 2022, 2109, 2011, 3071, 1012, 2174, 1010, 2065, 2017, 1521, 2128, 2428, 3809, 2055, 2054, 2017, 1521, 2128, 2725, 1010, 2009, 1521, 1055, 3835, 2000, 2031, 1996, 8321, 2951, 5376, 4578, 1010, 3292, 1010, 9963, 2015, 1999, 1996, 2250, 6913, 2006, 1996, 3543, 18182, 1012, 4237, 2013, 2122, 1999, 1011, 2328, 13907, 1010, 6819, 15185, 11087, 2382, 2036, 4107, 15536, 1011, 10882, 1010, 2630, 19392, 1010, 1998, 14405, 1009, 20831, 1012, 2023, 2965, 2017, 2064, 6880, 7532, 6327, 13907, 2066, 2540, 3446, 8080, 1010, 27885, 2094, 2475, 3417, 2000, 2115, 4950, 1012, 3013, 2000, 1996, 2678, 1998, 3861, 3737, 1998, 15480, 1010, 2009, 2038, 1037, 2260, 1011, 13164, 8197, 2595, 2884, 4950, 2007, 11082, 2017, 5607, 2382, 11048, 1013, 2117, 1012, 9308, 1010, 2045, 2024, 3020, 3177, 5008, 7047, 2004, 2092, 2012, 1996, 3465, 8276, 18853, 1012, 1996, 3746, 3609, 1998, 4629, 2791, 2024, 3243, 2012, 11968, 2007, 2175, 21572, 1012, 2009, 4107, 2019, 1523, 25145, 5549, 1524, 2029, 10468, 11082, 2017, 4012, 20110, 1018, 1024, 1017, 4871, 2046, 2385, 1024, 1023, 2005, 2898, 6466, 7171, 1012, 1045, 2052, 2507, 3313, 16784, 1011, 2039, 2000, 1996, 5008, 11583, 2066, 4586, 21172, 1010, 19967, 1010, 3137, 28899, 11583, 1012, 2122, 2393, 2017, 2131, 2307, 4871, 2302, 2172, 2000, 16281, 1012, 2065, 2017, 5587, 1996, 1043, 1011, 2777, 17682, 2058, 8485, 2096, 11847, 6876, 2012, 1018, 2243, 5813, 1010, 1996, 2951, 3446, 2097, 2022, 16620, 2000, 3486, 16914, 1013, 10819, 2013, 3438, 16914, 1013, 10819, 1012, 2023, 2028, 2518, 2003, 1037, 3576, 10520, 2000, 2033, 1012, 1996, 1017, 1011, 8123, 4816, 3746, 28715, 2291, 2003, 2019, 5793, 2566, 2243, 1010, 2021, 6854, 1010, 2009, 2987, 1521, 1056, 2147, 2096, 7467, 2012, 1018, 2243, 1012, 1996, 11721, 27512, 6819, 15185, 11087, 2382, 2003, 1037, 5760, 12208, 2000, 5607, 2007, 1012, 2005, 2658, 27747, 2015, 1010, 3137, 28988, 2015, 2030, 2151, 2060, 6034, 2998, 10205, 2040, 2293, 2000, 8080, 2037, 2296, 3357, 1010, 2023, 2028, 2071, 2022, 1037, 2307, 2998, 4950, 2005, 1996, 2769, 1012, 2009, 2038, 2049, 3745, 1997, 21407, 1010, 2021, 1996, 4744, 11066, 1997, 6179, 2838, 2062, 2084, 3084, 2039, 2005, 2068, 1012, 11087, 2382, 2003, 2062, 2084, 2074, 1037, 4950, 1010, 1998, 2008, 1521, 1055, 2054, 2049, 2364, 2149, 2361, 2003, 1012, 20118, 19648, 11564, 4950, 1010, 1055, 3501, 19841, 8889, 2300, 18907, 2998, 2895, 4950, 20118, 3683, 1050, 1055, 3501, 19841, 2692, 2003, 1037, 4950, 8934, 2029, 2950, 2539, 16611, 1010, 1998, 1996, 4950, 2993, 2003, 8966, 2007, 2110, 1011, 1997, 1011, 1996, 1011, 2396, 2838, 1012, 2009, 2950, 2698, 4800, 11263, 27989, 2389, 19363, 1010, 1037, 3715, 2099, 1010, 1037, 18833, 5830, 1998, 7167, 2062, 1012, 2009, 2003, 1996, 2175, 1011, 2000, 2895, 4950, 2005, 1996, 2691, 2545, 2004, 2009, 2003, 2025, 2004, 6450, 2004, 1996, 3025, 2048, 1012, 6600, 1010, 20118, 19648, 2987, 1521, 1056, 2474, 2290, 2369, 2049, 26927, 19562, 14562, 1999, 3408, 1997, 2640, 1998, 2836, 1012, 1996, 6081, 2300, 18907, 11832, 2003, 27547, 2012, 2023, 3976, 1012, 1045, 2165, 2009, 2039, 2000, 1996, 5995, 1997, 2382, 2213, 2096, 28651, 9404, 2302, 2151, 3277, 1012, 2025, 1037, 2309, 4530, 1997, 2300, 13583, 2098, 2503, 1996, 25222, 2075, 1012, 2174, 1010, 1045, 2106, 5060, 1037, 7263, 20870, 1997, 6087, 2096, 11847, 4871, 11564, 1012, 2021, 2008, 1521, 1055, 2428, 2498, 3809, 1012, 2009, 2003, 1037, 2307, 2998, 4950, 2004, 2092, 2008, 11082, 2017, 5607, 6876, 2012, 10715, 2692, 2361, 1012, 2062, 2084, 1996, 2145, 4871, 1010, 1045, 3866, 2678, 3737, 1997, 2023, 4950, 1012, 2672, 2023, 2003, 2138, 1997, 1996, 2224, 1997, 1037, 2327, 1011, 18624, 2678, 13617, 1012, 2009, 2036, 4473, 2017, 2202, 6876, 2012, 1996, 1018, 2243, 5813, 2066, 2151, 2060, 2152, 1011, 2203, 2895, 4950, 1012, 1996, 3746, 4629, 2791, 2012, 2023, 5813, 1010, 2174, 1010, 3475, 1521, 1056, 2008, 2004, 24826, 15683, 1012, 1996, 8934, 2950, 2048, 10274, 1012, 2169, 6046, 2097, 13567, 2197, 2005, 2871, 1011, 3438, 2781, 1010, 5834, 2006, 1996, 8015, 1997, 8192, 1012, 2065, 2017, 1521, 2128, 2183, 2005, 28651, 9404, 1010, 1045, 2052, 18012, 2017, 2000, 4287, 2019, 3176, 6046, 2007, 2017, 1012, 2028, 1997, 1996, 2838, 2008, 2187, 2033, 2087, 7622, 2003, 1996, 9211, 1997, 1996, 15536, 1011, 10882, 4434, 1012, 2017, 2074, 2031, 2000, 8816, 2019, 10439, 2006, 2115, 26381, 2030, 13855, 2000, 9585, 1996, 6556, 3169, 1012, 4950, 3310, 2007, 1016, 1012, 1014, 10751, 3898, 4346, 1037, 14726, 4653, 1012, 2009, 2036, 2038, 1037, 10894, 3014, 2898, 6466, 10014, 2000, 2507, 2017, 3861, 1011, 3819, 7171, 1997, 1996, 12793, 2017, 1521, 2128, 11131, 1012, 2045, 2024, 2070, 2590, 2838, 2066, 2482, 5549, 1010, 3424, 1011, 6073, 1010, 2051, 1011, 10876, 2063, 5549, 1010, 6046, 7494, 5549, 4385, 1012, 2035, 2122, 16548, 3499, 2115, 4950, 2000, 2022, 2115, 3819, 7452, 2076, 2115, 14963, 1011, 5533, 19147, 2000, 1996, 14485, 1012, 2004, 1045, 2031, 2525, 3090, 1999, 1996, 2927, 1010, 2009, 2003, 1037, 3143, 2275, 1012, 1996, 7427, 2950, 1037, 2843, 1997, 6827, 5167, 2066, 18833, 5830, 1010, 3715, 2099, 1010, 2048, 10274, 1998, 2195, 15986, 16611, 1012, 2012, 2023, 3976, 2846, 1010, 2009, 2003, 3243, 1037, 4474, 2000, 2031, 2061, 2116, 16611, 1012, 1996, 20118, 2243, 2078, 1055, 3501, 19841, 2692, 2052, 2022, 1037, 3819, 3601, 2005, 2216, 2040, 2175, 2006, 19967, 2030, 17260, 21172, 2320, 1999, 1037, 2096, 1012, 2049, 4979, 1011, 5379, 3976, 6415, 2003, 16004, 2000, 2116, 1012, 2021, 2023, 4950, 2003, 2062, 2084, 2074, 1037, 10036, 4522, 2000, 6627, 1011, 4138, 2895, 8629, 1012, 2009, 4107, 1037, 9129, 1997, 16548, 2000, 2191, 2115, 4740, 2012, 6034, 2998, 1037, 5744, 4536, 1012, 1996, 3861, 4629, 2791, 1010, 5813, 1998, 6087, 3685, 2022, 4102, 2000, 1037, 2327, 1011, 2203, 2895, 11503, 1012, 2021, 2017, 2131, 2054, 2017, 3477, 2005, 1010, 2157, 1029, 3419, 20389, 25334, 1018, 2243, 2895, 2678, 4950, 2197, 2021, 2025, 1996, 2560, 1010, 2009, 1521, 1055, 3419, 20389, 25334, 2008, 2038, 5147, 2081, 2000, 2026, 2862, 1997, 1996, 2190, 2895, 8629, 1997, 1996, 2095, 1012, 1996, 3086, 2000, 6987, 2003, 3492, 10358, 1999, 1996, 2640, 1012, 1996, 6327, 11503, 2003, 2235, 1010, 23073, 1998, 3565, 3733, 2000, 5452, 1012, 2009, 2038, 1037, 4408, 27662, 3898, 2006, 2009, 2008, 3065, 1996, 2951, 1010, 4871, 1010, 1998, 2678, 2007, 6429, 15563, 1012, 2009, 2036, 4107, 1037, 2176, 1011, 2126, 2491, 5997, 1012, 2012, 1996, 2918, 1010, 2045, 2003, 1037, 4057, 2008, 4473, 2017, 2000, 8103, 1996, 4950, 2000, 2115, 10412, 2030, 8934, 1012, 2009, 17409, 2015, 1037, 2193, 1997, 2328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2013, 1996, 10935, 1024, 7495, 2000, 4828, 3167, 1012, 2197, 2733, 2004, 1996, 4946, 2006, 2029, 1045, 2001, 7118, 2001, 2635, 2125, 1010, 2302, 3241, 1010, 1996, 4251, 7083, 1045, 2056, 2000, 2870, 2001, 1010, 1523, 1045, 7141, 2000, 4828, 1012, 1524, 2059, 2628, 2195, 5312, 2007, 2053, 2616, 2012, 2035, 1999, 2026, 2568, 1012, 2023, 2001, 2242, 2047, 1012, 2005, 5109, 2085, 1517, 2748, 1010, 5109, 1006, 15068, 2818, 1007, 1517, 2026, 7083, 2006, 2635, 2125, 1998, 4899, 2038, 2042, 2028, 3143, 1523, 16889, 1010, 2984, 1012, 1524, 1045, 2123, 1521, 1056, 2130, 2228, 2055, 2009, 1025, 2009, 1521, 1055, 1037, 10427, 1012, 2216, 2261, 2616, 1010, 2153, 1010, 1523, 1045, 7141, 2000, 4828, 1010, 1524, 1998, 1996, 4333, 5312, 2081, 2033, 2228, 2055, 2073, 2009, 2001, 2746, 2013, 1012, 3980, 2055, 10721, 2166, 2031, 2272, 2026, 2126, 2195, 2335, 2058, 1996, 2197, 2261, 2706, 1012, 1523, 2079, 2017, 2903, 1999, 2166, 2044, 2331, 1029, 1524, 2026, 3437, 2003, 1010, 1523, 2748, 1012, 1524, 1045, 2903, 1999, 1996, 15218, 1997, 1996, 2303, 1998, 2166, 2412, 8523, 3436, 1012, 2664, 2122, 2616, 2812, 2242, 2367, 2000, 2033, 2085, 2084, 2027, 2106, 2043, 1045, 2001, 1037, 2775, 1010, 2030, 1037, 10563, 1010, 2030, 1037, 2402, 4639, 1012, 1045, 2085, 3713, 2055, 2054, 1045, 2903, 11543, 2084, 1045, 2106, 2043, 1045, 2001, 9492, 1999, 3172, 1012, 12834, 15159, 2015, 1521, 2338, 13763, 1999, 2256, 12930, 1006, 2286, 1007, 2038, 2042, 2200, 14044, 2000, 2033, 1012, 4441, 3123, 2007, 1037, 3739, 2008, 2001, 20445, 1010, 20123, 1010, 1998, 2613, 1010, 2021, 2025, 3430, 1012, 2138, 2002, 2018, 2023, 13763, 2303, 1010, 2002, 2018, 1996, 3977, 2005, 3739, 1998, 3276, 2007, 2010, 17102, 1012, 2138, 2002, 2003, 2643, 1010, 2002, 2003, 3458, 4325, 1025, 2138, 2002, 2003, 2643, 1010, 2002, 2064, 2145, 2191, 2370, 2556, 1999, 4325, 1012, 2043, 2002, 2081, 2370, 2124, 2000, 2010, 17102, 2006, 1996, 2154, 1997, 15218, 1010, 2027, 2354, 2008, 2002, 2018, 2973, 1998, 2351, 1012, 2013, 2008, 2154, 2010, 17102, 2071, 2444, 2011, 4752, 1012, 2005, 2023, 2746, 4465, 1010, 1996, 2197, 1997, 1996, 2277, 2095, 1010, 2256, 3393, 7542, 5649, 4107, 1037, 3601, 1997, 8036, 8220, 1024, 2013, 2198, 1010, 4441, 1521, 2616, 2007, 14255, 13806, 2055, 2010, 5465, 5605, 1006, 2198, 2324, 1024, 3943, 1516, 4261, 1007, 1010, 2030, 2013, 2928, 1010, 4441, 1521, 10911, 2389, 4211, 2046, 6744, 1006, 2928, 2340, 1024, 1015, 1516, 2340, 1007, 1012, 1045, 2097, 2022, 17979, 2012, 1996, 2184, 1024, 4002, 2572, 1998, 2340, 1024, 4002, 2572, 7327, 7507, 15061, 2015, 2006, 2928, 1012, 1006, 2269, 6393, 2089, 2030, 2089, 2025, 2079, 1996, 2168, 2012, 1996, 1023, 1024, 4002, 2572, 3742, 1012, 2119, 24131, 2024, 11007, 1012, 2017, 2064, 2424, 2035, 1997, 1996, 8220, 2005, 2023, 4465, 2182, 1012, 1007, 1045, 2228, 2009, 1521, 1055, 4189, 2000, 2360, 2008, 1045, 2031, 2042, 3752, 2928, 2076, 2023, 3393, 7542, 5649, 2095, 2007, 4840, 2159, 2138, 1045, 1521, 2310, 2042, 2551, 2083, 8963, 6647, 1521, 8570, 2006, 2023, 8036, 1006, 2928, 1015, 1516, 1022, 1025, 2928, 1022, 1516, 2385, 1007, 1012, 2009, 1521, 1055, 5407, 2000, 1996, 2391, 2008, 2928, 2003, 2485, 2000, 6419, 2198, 1999, 2026, 2540, 2004, 2026, 5440, 8036, 1012, 2006, 1996, 2197, 4465, 1999, 2255, 1996, 8036, 2001, 1996, 2466, 2928, 4136, 3202, 2077, 4441, 8039, 6744, 1010, 4441, 3228, 4356, 2000, 1037, 6397, 11693, 6843, 1006, 2928, 2184, 1024, 4805, 1516, 4720, 1007, 1012, 1996, 2158, 2038, 2025, 2464, 4441, 1010, 2069, 2657, 2055, 2032, 1012, 2043, 4441, 7365, 2485, 2000, 2073, 2002, 2003, 1010, 1996, 2158, 12842, 1010, 1523, 4441, 1010, 2365, 1997, 2585, 1010, 2031, 8673, 2006, 2033, 1012, 1524, 4441, 5176, 2032, 2054, 2002, 4122, 2032, 2000, 2079, 2005, 2032, 1012, 2002, 14054, 1010, 1523, 3040, 1010, 2292, 2033, 4374, 2026, 4356, 1012, 1524, 1999, 6744, 1010, 2216, 7541, 2000, 2032, 2052, 2468, 6397, 2127, 2002, 3123, 2013, 1996, 2757, 1012, 2085, 1010, 2067, 2000, 2008, 7083, 1010, 1523, 1045, 7141, 2000, 4828, 1012, 1524, 2009, 2234, 2067, 2000, 2033, 2153, 2044, 1996, 6659, 2739, 2013, 3000, 2006, 5958, 3944, 1012, 1045, 3342, 2244, 2340, 1012, 1045, 3342, 2183, 5116, 1999, 2220, 2281, 1012, 2004, 2574, 2004, 1996, 10798, 4303, 2441, 2012, 17049, 2395, 1010, 2057, 2020, 2718, 2007, 1996, 5437, 1997, 1996, 8769, 2013, 2598, 5717, 2008, 2052, 6402, 2005, 2531, 2420, 1012, 1045, 3342, 1996, 11423, 1997, 5142, 2055, 3002, 2984, 1521, 1055, 2008, 2211, 2008, 2154, 1012, 1996, 2168, 2785, 1997, 11423, 2211, 4760, 2039, 1999, 2026, 1999, 8758, 2006, 9317, 2043, 8767, 2020, 2081, 2114, 2335, 2675, 1012, 2004, 2057, 2175, 2000, 2811, 1010, 2045, 1521, 1055, 2042, 1037, 9452, 2886, 2651, 1999, 1996, 3007, 1997, 16007, 1012, 2471, 5121, 2062, 2111, 2097, 3280, 2077, 1996, 2783, 4400, 1997, 5499, 10130, 3310, 2000, 2019, 2203, 1012, 2043, 1045, 2131, 5191, 2055, 10130, 1010, 1045, 1521, 1049, 3497, 2000, 2735, 2000, 2307, 17777, 2005, 3997, 1998, 24831, 1012, 2426, 2026, 20672, 2024, 1523, 1037, 10478, 7841, 2003, 2256, 2643, 1524, 1998, 1523, 2129, 3813, 1037, 3192, 1010, 6300, 6586, 1997, 1996, 2935, 1012, 1524, 2023, 2003, 1996, 2353, 7893, 1997, 1996, 2280, 1024, 1523, 1998, 2295, 2023, 2088, 1010, 2007, 13664, 3561, 1010, 2323, 15686, 2000, 25672, 2149, 1025, 2057, 2097, 2025, 3571, 1010, 2005, 2643, 6045, 2232, 22705, 2010, 3606, 2000, 10911, 2083, 2149, 1025, 1996, 3159, 1997, 4768, 11844, 1010, 2057, 20627, 2025, 2005, 2032, 1025, 2010, 7385, 2057, 2064, 18094, 1010, 2005, 8840, 999, 2010, 12677, 2003, 2469, 1010, 2028, 2210, 2773, 4618, 3062, 2032, 1012, 1524, 1045, 13260, 2017, 2000, 3342, 2008, 2017, 1998, 1045, 7141, 2000, 4828, 1012, 1517, 4459, 16216, 15265, 2115, 12583, 2024, 2356, 2005, 9952, 1010, 16732, 1010, 2585, 1010, 6583, 10623, 2483, 1010, 23848, 2850, 1010, 4787, 1010, 9246, 1010, 7059, 1010, 8836, 1010, 3520, 1010, 4789, 1010, 14911, 1010, 21510, 2638, 1010, 3744, 1010, 8804, 1010, 28935, 1010, 2928, 1010, 14926, 1010, 8856, 1010, 21372, 1010, 23438, 13089, 1010, 6615, 1010, 14208, 2243, 1010, 25286, 2243, 1010, 8672, 1010, 2202, 6633, 1010, 12098, 11837, 2063, 1010, 17217, 1010, 3412, 1010, 12757, 1010, 14845, 1010, 11430, 1010, 14845, 1010, 5623, 1010, 14845, 1010, 12757, 1010, 5011, 1010, 2703, 7585, 1010, 5011, 1010, 5637, 19980, 1010, 5011, 1010, 1998, 4302, 1010, 5011, 1025, 1998, 2005, 1996, 2372, 1997, 2256, 4273, 2749, 2006, 3161, 4611, 1010, 2926, 5487, 1012, 1012, 1012, 3946, 2068, 3521, 1012, 1012, 1012, 2281, 2570, 1024, 5775, 6874, 1041, 1012, 4869, 2015, 1025, 4673, 19739, 15204, 13675, 5358, 10199, 2378, 2310, 14536, 5802, 3600, 9712, 1025, 3918, 11556, 18890, 22889, 18891, 2078, 1025, 3624, 10115, 4958, 10814, 2100, 1012, 1999, 2023, 6671, 10253, 2166, 1012, 1012, 1012, 5965, 2204, 29100, 1010, 1996, 5615, 1997, 2256, 18014, 2937, 1010, 5487, 12988, 2239, 1010, 2351, 2006, 9857, 1010, 2281, 2459, 1012, 3531, 2562, 5965, 1010, 5487, 1010, 2010, 2155, 1998, 2035, 2040, 9587, 14287, 1999, 2115, 12583, 1012, 1996, 6623, 26587, 1997, 1996, 2095, 2024, 5159, 2011, 2569, 4490, 1997, 9009, 1998, 2969, 1011, 14920, 1999, 22377, 1997, 1996, 13675, 14194, 10128, 7646, 3258, 1997, 1996, 2935, 1012, 17946, 9650, 3049, 1012, 1012, 1012, 1996, 3204, 1997, 2281, 2003, 1037, 10232, 2051, 2005, 1996, 16393, 3049, 1012, 2057, 2342, 2000, 5441, 1996, 11071, 1997, 1996, 3049, 1521, 1055, 2034, 2176, 3134, 1012, 8426, 4465, 2003, 2281, 2570, 1010, 1998, 2057, 3246, 2000, 4374, 1996, 3484, 1997, 16393, 2015, 2011, 2008, 3058, 1012, 2057, 9075, 2035, 2372, 1998, 2814, 2000, 2709, 2037, 16393, 5329, 2004, 2574, 2004, 2825, 1010, 2593, 2011, 5653, 2030, 2011, 6885, 2115, 16393, 4003, 1999, 1996, 3074, 10810, 2012, 3742, 2006, 4465, 2851, 1012, 2017, 2089, 2036, 2655, 1996, 5446, 2436, 2000, 6848, 2115, 16393, 1012, 1996, 3095, 2097, 2022, 3407, 2000, 6039, 2041, 1037, 16393, 4003, 2005, 2017, 1012, 2065, 2017, 2031, 2525, 2513, 2115, 16393, 4003, 1010, 2057, 4067, 2017, 1012, 2065, 2017, 2031, 3980, 2055, 17946, 9650, 1010, 3531, 3198, 2000, 3713, 2000, 1037, 2266, 1997, 1996, 17946, 9650, 2837, 1010, 2984, 8405, 2063, 8945, 3122, 1010, 7112, 2002, 4246, 3678, 1010, 2030, 5032, 5811, 4402, 4877, 1025, 1998, 3531, 11839, 2005, 1996, 3112, 1997, 2023, 2095, 1521, 1055, 17946, 9650, 3049, 1012, 2023, 2733, 2012, 3002, 2984, 1005, 1055, 1012, 1012, 1012, 4465, 1010, 2281, 2570, 1010, 2197, 4465, 2044, 7279, 26557, 14122, 1024, 4828, 1996, 2332, 1004, 8426, 4465, 1012, 3531, 3288, 2115, 16393, 4003, 1998, 2173, 2009, 1999, 1996, 5378, 10810, 1012, 1012, 1012, 9317, 1010, 2281, 2423, 1010, 1996, 9317, 2305, 6331, 2817, 2465, 2097, 2025, 3113, 2006, 1996, 6574, 1997, 15060, 2154, 1012, 1996, 2465, 13746, 2015, 2006, 9317, 1010, 2285, 1016, 1012, 1012, 1012, 9317, 1010, 2281, 2423, 1010, 6574, 1997, 15060, 2154, 1010, 7042, 3742, 1020, 1024, 4002, 7610, 1012, 1012, 1012, 9432, 1010, 2281, 2656, 1010, 15060, 2154, 1010, 1996, 2277, 7480, 2012, 2184, 1024, 4002, 2572, 1998, 14572, 2012, 1016, 1024, 4002, 7610, 1012, 2069, 1996, 11501, 10259, 2578, 2024, 3253, 1998, 1996, 3583, 4822, 2024, 2701, 1012, 1012, 1012, 4465, 1010, 2281, 2756, 1010, 1996, 2034, 4465, 1997, 13896, 1012, 1012, 1012, 2006, 5095, 1010, 2281, 2538, 1010, 21444, 2097, 2022, 2657, 2011, 2269, 4459, 16216, 15265, 1012, 2006, 5095, 1010, 2281, 2654, 1010, 21444, 2097, 2022, 2657, 2011, 2269, 3958, 6393, 1012, 2105, 1996, 3583, 1012, 1012, 1012, 3583, 3258, 2121, 16243, 25626, 2480, 4590, 2001, 4914, 2000, 13012, 3490, 10230, 3164, 2966, 2415, 1010, 1999, 3870, 1010, 2047, 3933, 1010, 2197, 2733, 2005, 5852, 1012, 2002, 2003, 2085, 2012, 2188, 1012, 3531, 2562, 2032, 1999, 2115, 12583, 1012, 1012, 1012, 3583, 3258, 2121, 6437, 1047, 20897, 2003, 2085, 2012, 2188, 5719, 2014, 28667, 6279, 16754, 2206, 5970, 1012, 3531, 2562, 2014, 1999, 2115, 12583, 1012, 1012, 1012, 9216, 4870, 2024, 2734, 2005, 2035, 1997, 1996, 14803, 1999, 2254, 1012, 2065, 2017, 2052, 2066, 2000, 2191, 1037, 13445, 1010, 3531, 3967, 1996, 3583, 2436, 1012, 1012, 1012, 2269, 6108, 3044, 2097, 2022, 2185, 2013, 1996, 3583, 1998, 2006, 7822, 2013, 1996, 3944, 1997, 9432, 1010, 2281, 2539, 1010, 2127, 1996, 5027, 1997, 5095, 1010, 2281, 2538, 1012, 1012, 1012, 5270, 1024, 2197, 4465, 19348, 1012, 1037, 6951, 4495, 1012, 1012, 1012, 1996, 2047, 2259, 2103, 2533, 1997, 11573, 2578, 2003, 6224, 7314, 2005, 2049, 9046, 11573, 15641, 2313, 10197, 1006, 1996, 1523, 3246, 4175, 1524, 1007, 1010, 2029, 2097, 2202, 2173, 2006, 6928, 1010, 2254, 2423, 1516, 2656, 1010, 2090, 2184, 1024, 4002, 7610, 1998, 1016, 1024, 4002, 2572, 1012, 7314, 2323, 2022, 7763, 2086, 1997, 2287, 2030, 3080, 1010, 1998, 2097, 2022, 2583, 2000, 5454, 2037, 6951, 2609, 2043, 2027, 4236, 2006, 1996, 28912, 4773, 2609, 1012, 7314, 2097, 3189, 2000, 2037, 7972, 4573, 1010, 2073, 1037, 3246, 4175, 4387, 1010, 2030, 2952, 1010, 2097, 2599, 7314, 2046, 2037, 3479, 4279, 1998, 2097, 3073, 8128, 2055, 2129, 2000, 14125, 4175, 1996, 2103, 1521, 1055, 11573, 2111, 1012, 2065, 2017, 2052, 2066, 2000, 6951, 2005, 1996, 3246, 4175, 1010, 3531, 3967, 2269, 6108, 3044, 1010, 1998, 2002, 2097, 4236, 1996, 3002, 2984, 1521, 1055, 15445, 2004, 1037, 2177, 1012, 2372, 1997, 1996, 3583, 2031, 2589, 1996, 4175, 1999, 1996, 2627, 1998, 2031, 2179, 2009, 2000, 2022, 10377, 2075, 2147, 1012, 15641, 2012, 3002, 2984, 1521, 1055, 1012, 1012, 1012, 1996, 2833, 27796, 2012, 1996, 2277, 1997, 2624, 15614, 1010, 10930, 8950, 2545, 1024, 2005, 1996, 2627, 2195, 2086, 3002, 14042, 2015, 1998, 2037, 2814, 2031, 2042, 14120, 2000, 2388, 8038, 4328, 2135, 3321, 1011, 16480, 3686, 1521, 1055, 2655, 2000, 2393, 2007, 2014, 3583, 2833, 27796, 1521, 1055, 15060, 4596, 3947, 1012, 1037, 13445, 1997, 1002, 2322, 1012, 4002, 23311, 1037, 4977, 2005, 1037, 2155, 1999, 2342, 1012, 2065, 2017, 2052, 2066, 2000, 21357, 1010, 4604, 1037, 4638, 2000, 2624, 15614, 1010, 2570, 2695, 2358, 1012, 1010, 10930, 8950, 2545, 1010, 6396, 10550, 2692, 2629, 1998, 2404, 1523, 4977, 3298, 1524, 1999, 1996, 24443, 2240, 1012, 1012, 1012, 1996, 2393, 2897, 2003, 1037, 14495, 3029, 1998, 2019, 4034, 1997, 1996, 3795, 2689, 2622, 1012, 2009, 2003, 2559, 2000, 13024, 7314, 2040, 2024, 5627, 2000, 10797, 2028, 3178, 2566, 2733, 2000, 2393, 2041, 2012, 1037, 2193, 1997, 4256, 4411, 2284, 2802, 2047, 2259, 2103, 1012, 1996, 2897, 2573, 2007, 2049, 5826, 2000, 3940, 7314, 2007, 1996, 5305, 1010, 9750, 1010, 1998, 2007, 9776, 5381, 2241, 2006, 11343, 1010, 4813, 1010, 1998, 3327, 7396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2067, 2000, 24209, 8684, 2125, 6732, 3853, 1997, 7349, 3914, 2003, 1000, 8498, 2019, 3452, 6540, 3976, 1006, 15476, 2382, 1010, 2294, 1007, 2259, 1010, 6396, 1516, 2428, 1029, 2292, 1521, 1055, 17908, 2008, 11213, 1010, 4618, 2057, 1029, 2034, 1010, 2054, 2003, 1037, 3976, 1029, 2429, 2000, 2489, 3006, 22171, 1042, 1012, 1037, 1012, 10974, 5937, 1998, 10302, 3854, 28616, 2229, 1010, 7597, 2024, 24209, 11475, 27453, 3863, 21879, 4340, 2011, 3633, 2040, 3643, 2037, 15800, 16655, 26426, 2135, 1012, 1045, 2507, 2039, 2026, 5747, 2884, 1997, 12851, 2000, 4374, 2115, 6007, 2138, 1045, 3643, 6007, 3020, 2084, 12851, 1012, 2017, 1010, 2174, 1010, 2079, 1996, 4500, 1012, 2027, 2024, 2025, 9352, 5020, 5300, 2138, 2057, 2169, 2031, 1037, 4094, 1997, 18402, 1012, 1996, 2391, 2003, 1010, 3006, 7597, 3685, 2022, 3266, 2011, 2070, 2430, 3171, 1039, 9057, 2030, 2842, 2216, 1523, 7597, 1524, 2468, 2231, 25979, 1010, 1998, 2947, 2025, 3006, 7597, 10842, 4425, 1998, 1996, 25812, 1997, 1037, 2489, 3006, 1010, 19857, 6593, 24133, 7597, 1010, 2003, 3599, 1996, 4500, 1997, 2054, 1996, 1059, 2015, 3501, 2758, 2003, 1996, 4563, 3853, 1997, 1996, 7349, 3914, 1024, 8498, 6540, 3976, 3798, 1012, 1996, 3853, 1997, 2489, 3006, 7597, 2003, 2025, 9211, 2021, 2738, 2000, 4125, 1998, 2991, 2004, 4425, 1998, 5157, 3431, 1012, 2023, 2071, 2022, 2312, 2030, 2235, 3976, 3431, 1010, 5834, 2006, 2054, 1521, 1055, 6230, 1999, 1996, 3006, 1012, 1996, 2391, 2003, 1010, 2009, 1521, 1055, 2200, 2590, 2005, 2489, 3006, 7597, 2000, 2025, 2022, 1523, 5224, 1524, 2021, 2738, 2000, 10350, 19857, 6593, 20598, 2061, 2057, 2113, 2073, 2045, 2024, 22623, 2030, 2012, 2560, 3020, 5157, 2005, 3649, 21955, 2030, 2578, 2111, 10350, 2215, 1012, 1037, 2489, 3006, 3138, 2729, 1997, 7597, 8073, 1006, 1998, 1037, 6540, 9598, 1010, 2029, 2003, 2025, 1996, 2168, 2518, 2004, 6540, 7597, 1010, 21312, 2008, 2449, 4972, 3383, 1996, 1059, 2015, 3501, 2965, 2008, 2009, 2003, 1996, 3853, 1997, 1996, 2797, 2976, 3914, 2000, 1523, 5441, 1524, 1996, 3643, 1997, 1037, 6540, 9598, 1029, 2061, 2085, 2057, 2031, 2000, 3198, 2054, 2003, 1996, 6210, 1997, 1037, 9598, 2030, 1037, 5396, 1997, 3171, 3863, 1029, 1998, 16726, 5396, 1997, 3171, 3863, 2003, 3649, 2111, 10350, 5454, 1012, 2009, 2071, 2022, 2751, 1010, 3165, 1010, 9098, 1010, 2030, 27613, 1012, 7929, 1010, 2292, 1521, 1055, 2562, 2009, 2460, 1012, 2751, 5222, 2041, 2005, 5793, 4436, 1998, 2008, 1521, 1055, 2339, 1996, 4889, 11397, 3090, 1999, 1996, 1057, 1012, 1055, 1012, 4552, 2008, 2498, 2021, 2751, 2030, 3165, 4618, 2022, 13279, 2004, 9398, 2769, 1012, 2025, 3259, 1010, 1998, 2025, 2976, 3914, 3964, 1012, 1999, 2804, 1010, 3519, 2515, 2025, 2031, 1996, 3691, 2000, 5245, 2008, 3105, 2125, 3031, 1037, 2797, 13666, 2030, 1037, 2177, 1997, 2797, 25375, 2170, 1996, 2976, 3914, 1012, 2021, 4352, 1037, 2797, 13666, 1010, 1996, 7349, 3914, 1010, 2000, 9226, 2769, 1516, 3081, 15089, 8128, 2000, 1996, 1057, 1012, 1055, 1012, 9837, 1516, 2003, 2025, 1996, 2203, 1997, 1996, 3291, 1012, 1996, 2430, 25375, 2018, 1037, 2582, 11376, 1999, 2568, 2043, 2027, 2165, 2058, 2637, 1521, 1055, 2769, 4425, 1012, 2004, 3740, 1010, 2027, 2580, 1037, 12884, 2389, 8169, 2291, 1999, 2029, 1996, 7349, 3843, 2062, 3259, 28258, 2005, 2751, 1010, 1045, 1012, 1041, 1012, 3259, 2769, 2030, 20877, 14643, 10253, 3964, 1010, 2084, 1996, 2227, 3643, 1997, 1996, 8250, 2751, 1999, 1996, 9837, 1012, 12884, 2389, 8169, 2003, 2941, 9861, 2030, 4675, 21156, 2075, 1012, 2339, 1029, 2228, 2055, 2054, 3259, 2769, 2428, 2003, 1012, 2009, 2003, 1037, 25420, 24306, 2030, 1999, 6767, 6610, 2005, 1037, 12816, 1997, 2070, 2524, 19502, 14140, 2046, 1037, 9746, 1012, 2065, 1996, 1057, 1012, 1055, 1012, 9837, 2038, 2184, 2454, 19471, 2015, 1997, 2751, 1010, 2360, 2028, 7922, 1027, 1015, 11472, 1997, 2751, 1010, 1998, 2009, 3314, 2531, 2454, 6363, 1999, 20877, 14643, 10253, 3964, 1010, 2059, 1996, 7349, 2038, 4675, 21156, 2098, 3938, 2454, 6363, 1998, 9828, 2000, 2035, 1996, 13304, 1997, 3259, 2769, 1012, 1996, 2755, 2008, 1996, 2313, 2515, 2025, 4040, 1996, 1057, 1012, 1055, 1012, 9837, 2035, 2012, 2320, 1998, 5157, 1996, 2751, 2515, 2025, 8016, 1996, 4675, 21156, 2075, 1998, 9861, 1012, 1999, 11305, 1010, 1996, 2797, 7349, 3914, 1999, 2023, 2742, 2074, 2081, 2993, 1516, 1998, 1996, 24115, 2000, 3183, 2027, 2034, 5414, 2030, 2507, 1996, 2769, 1011, 1011, 3938, 2454, 6363, 26108, 2011, 8021, 2039, 8275, 3259, 2769, 1010, 4675, 21156, 2075, 1010, 2041, 1997, 4857, 2250, 1012, 1006, 2053, 1010, 3259, 2769, 2987, 1521, 1056, 5020, 14230, 2138, 1996, 7349, 2515, 2025, 2219, 2035, 1996, 5404, 11015, 1998, 22939, 7347, 1997, 7955, 1999, 1996, 1057, 1012, 1055, 1012, 5466, 2041, 1996, 14230, 6685, 2004, 1037, 6210, 1997, 1996, 7349, 1521, 1055, 8016, 2000, 4675, 21156, 2256, 3259, 2769, 1012, 1007, 2117, 1010, 1996, 2279, 3357, 2011, 1996, 2797, 7349, 3914, 2001, 2000, 3294, 6366, 1996, 2751, 1010, 1996, 25420, 12816, 2009, 2001, 18011, 2000, 2907, 1999, 1037, 9746, 2005, 1996, 9111, 1997, 1996, 20877, 14643, 10253, 3602, 1010, 2004, 1996, 5150, 2005, 1057, 1012, 1055, 1012, 6267, 2769, 1010, 2029, 1999, 3466, 2003, 1037, 3206, 1012, 2008, 2003, 1010, 1996, 25375, 10312, 1996, 2751, 2013, 1996, 12816, 2953, 2011, 20084, 1996, 3206, 1012, 2008, 1521, 1055, 2066, 9268, 1996, 2613, 2188, 2013, 1037, 15046, 1997, 3404, 1010, 1037, 20877, 14643, 10253, 3602, 2008, 2758, 1996, 15046, 4372, 27430, 1996, 20905, 2000, 1996, 2524, 19502, 2170, 1037, 2160, 1010, 1998, 12097, 2009, 1521, 1055, 7929, 1012, 2009, 1521, 1055, 2066, 2770, 2091, 2000, 1996, 14344, 18496, 2121, 2030, 2924, 2000, 3477, 2125, 2115, 2160, 1998, 1010, 2612, 1997, 11381, 2115, 2160, 1010, 2017, 4374, 2178, 3538, 1997, 3259, 2008, 2758, 1523, 2160, 1524, 2006, 2009, 1012, 2017, 2196, 4374, 1037, 2613, 2160, 1010, 2069, 2178, 2976, 2160, 3602, 1010, 1037, 3538, 1997, 3259, 1012, 2009, 1521, 1055, 2170, 11933, 1998, 1996, 2976, 3914, 2106, 2009, 2007, 2751, 2612, 1997, 3506, 1012, 2115, 2751, 1012, 1999, 2060, 2616, 1010, 1996, 7349, 3914, 1998, 1996, 2231, 2417, 28344, 2769, 2004, 2976, 3914, 3964, 1998, 3718, 1996, 1523, 3477, 3085, 2000, 1996, 20905, 2006, 5157, 1524, 1998, 1996, 10618, 2008, 1523, 2045, 2003, 2006, 12816, 1999, 1996, 1057, 1012, 1055, 1012, 9837, 1060, 1011, 3815, 1997, 3165, 2030, 2751, 1012, 1524, 2061, 2085, 1996, 7349, 3914, 1998, 3519, 2031, 3294, 3718, 1996, 6210, 1010, 1996, 4434, 1010, 1998, 1996, 7835, 2090, 1037, 2524, 19502, 1998, 1996, 24306, 2005, 1996, 5527, 1998, 26384, 1997, 2008, 2524, 19502, 1012, 2129, 12266, 1012, 2582, 1010, 2637, 1521, 1055, 2270, 2495, 2291, 12011, 2008, 1996, 2976, 3914, 3602, 1010, 2025, 2417, 21564, 3085, 1999, 2505, 1998, 2025, 1037, 24306, 2005, 2751, 2030, 3165, 1010, 2003, 2613, 2769, 1012, 2339, 2106, 1996, 2430, 25375, 2079, 2023, 1029, 3733, 1012, 2138, 2027, 2064, 2085, 6140, 2039, 2004, 2172, 3259, 2769, 1006, 1998, 4923, 1007, 2004, 2027, 1998, 3519, 2215, 2302, 2593, 4851, 2030, 10095, 3070, 1996, 4480, 1012, 1999, 2023, 12266, 5450, 1010, 1996, 2976, 3914, 4152, 2000, 4372, 13149, 3209, 2104, 1996, 21980, 1997, 1523, 8498, 2019, 3452, 6540, 3976, 2504, 1524, 1998, 7494, 2149, 2013, 19396, 2015, 1998, 3909, 15536, 28682, 1996, 7349, 3914, 2442, 2022, 1996, 5221, 8040, 3286, 2412, 2566, 22327, 9250, 2588, 1996, 2137, 2270, 1024, 25430, 11514, 2075, 7955, 1521, 1055, 2524, 19502, 2769, 1006, 2751, 1007, 1010, 15089, 2702, 2335, 1996, 3815, 2006, 12816, 2004, 3259, 2769, 1010, 2437, 1996, 2524, 19502, 1006, 2751, 1007, 20868, 5596, 21564, 3085, 1010, 2417, 12879, 24002, 1996, 3259, 24306, 2005, 2769, 2004, 1996, 2769, 2993, 1006, 2066, 1996, 15046, 2005, 2115, 2160, 2003, 1996, 2160, 2993, 1029, 1007, 1010, 1998, 2059, 8021, 2039, 1998, 15089, 2004, 2172, 2769, 2004, 1996, 7349, 3914, 4122, 2000, 5247, 1012, 2296, 6210, 1997, 2769, 4036, 2012, 2035, 5534, 1010, 2013, 1523, 4931, 1010, 2009, 1521, 1055, 1996, 14230, 1524, 2000, 1523, 2592, 1524, 2000, 1523, 3404, 2149, 1010, 1524, 26777, 1996, 2613, 6210, 1997, 1996, 2434, 20877, 14643, 10253, 3602, 2043, 4841, 14140, 2037, 2524, 2769, 2046, 1996, 1057, 1012, 1055, 1012, 9837, 1012, 2062, 2590, 2084, 26211, 2075, 7955, 1997, 2037, 19502, 10995, 1998, 15089, 8275, 3259, 1999, 2709, 1010, 2057, 2085, 2031, 2439, 1037, 9854, 6293, 2005, 7597, 1012, 2011, 9268, 1996, 2193, 1997, 11472, 1997, 2751, 2566, 7922, 6210, 1010, 2057, 2079, 2025, 2031, 1037, 6540, 9854, 6293, 2005, 3259, 2769, 1012, 15089, 3259, 2769, 2302, 2108, 4225, 1999, 3408, 1997, 1037, 3563, 11712, 1997, 2751, 2030, 3165, 2003, 1996, 2168, 2004, 15089, 2367, 10742, 1997, 11117, 1998, 4210, 26348, 2015, 1998, 9539, 2000, 5468, 2661, 2030, 2519, 2030, 7338, 2030, 7038, 2030, 6197, 2030, 8992, 2030, 1996, 3177, 1997, 2422, 1012, 1006, 2096, 1996, 3643, 1997, 2751, 2004, 2769, 2064, 1998, 2323, 19857, 6593, 20598, 5816, 2000, 2060, 21955, 2138, 2751, 2993, 2003, 1037, 19502, 1010, 1996, 5468, 1997, 2129, 2172, 2751, 1027, 2028, 3259, 7922, 1010, 1037, 20877, 14643, 10253, 3602, 1010, 1037, 3206, 1010, 3685, 19857, 6593, 20598, 2151, 2062, 2084, 1996, 2193, 1997, 3506, 2566, 15046, 1997, 3404, 2064, 19857, 6593, 20598, 1012, 4964, 2033, 28329, 8311, 3685, 10142, 22822, 8458, 2006, 1037, 3679, 3978, 1012, 1007, 5674, 1037, 2088, 1997, 5584, 1999, 2029, 1996, 3091, 1997, 1037, 6823, 5468, 3431, 3679, 1012, 2052, 2008, 2022, 6540, 1029, 2071, 2017, 3857, 1037, 2160, 2007, 2008, 6823, 5468, 1029, 2008, 2003, 2339, 1996, 6089, 2024, 25223, 2989, 1998, 28515, 1998, 17353, 2079, 2025, 2113, 2129, 2000, 19939, 2505, 1024, 2138, 2037, 9854, 12668, 2024, 5278, 2006, 1037, 3679, 3978, 1012, 1996, 4506, 2579, 2011, 1996, 2797, 2976, 3914, 1999, 2037, 2430, 8169, 11683, 2031, 2081, 2009, 2471, 5263, 2000, 16014, 1998, 18422, 7597, 1998, 2947, 2191, 2204, 2449, 6567, 1012, 1996, 4598, 1998, 2535, 1997, 1996, 7349, 3914, 2003, 2725, 1996, 6635, 4500, 1997, 2054, 1996, 1059, 2015, 3501, 4447, 2003, 2009, 1521, 1055, 2350, 3853, 1012, 1999, 2755, 1010, 14649, 2467, 11896, 2138, 2009, 20735, 1996, 2489, 3006, 20874, 7337, 2734, 2000, 10663, 4425, 1998, 5157, 1998, 2947, 3443, 7597, 1012, 1996, 7349, 3914, 2038, 20114, 1996, 2111, 1998, 14180, 2039, 1996, 3643, 1997, 1996, 2769, 4425, 1010, 2926, 2004, 2027, 5333, 1998, 2896, 1996, 3539, 3446, 1998, 1999, 20614, 2030, 9530, 3367, 7277, 2102, 1996, 26354, 26620, 1997, 2037, 4675, 21156, 7349, 3914, 3964, 1998, 4923, 1012, 2085, 2027, 1521, 2310, 2580, 2047, 3471, 1024, 2296, 3842, 2003, 1999, 2006, 2023, 4689, 2430, 8169, 12884, 2389, 3914, 2291, 1998, 2169, 3842, 5363, 2000, 5114, 2019, 5056, 2058, 2060, 3741, 2011, 27987, 2075, 2039, 2030, 9530, 3367, 28827, 2037, 2219, 3259, 2769, 1998, 4923, 1012, 2023, 19676, 2015, 2993, 2004, 1037, 2047, 9575, 2170, 3119, 15726, 2229, 1998, 3119, 15074, 2015, 1012, 2085, 2057, 2428, 2123, 1521, 1056, 2031, 2248, 3976, 9211, 2004, 2296, 2406, 5363, 2000, 21100, 22345, 2296, 2060, 2406, 2083, 18550, 12194, 16924, 1012, 1996, 4598, 1997, 1996, 7349, 3914, 2038, 16316, 2008, 2613, 3006, 7597, 2079, 2025, 2130, 4839, 1010, 2196, 2568, 2037, 3125, 1997, 9211, 1010, 2029, 2003, 2019, 23060, 24335, 14604, 2078, 1999, 1037, 2489, 3006, 4312, 1012, 4661, 1996, 10047, 22049, 3012, 1997, 11065, 1996, 2111, 1521, 1055, 2751, 1998, 15089, 6057, 2769, 1010, 9186, 1998, 21012, 1996, 2769, 4425, 2011, 1037, 2430, 12194, 1039, 9057, 2170, 1996, 2976, 3914, 3472, 1998, 5444, 2588, 2011, 1037, 2976, 2330, 3006, 2837, 1006, 1042, 5358, 2278, 1007, 1998, 1037, 2604, 1997, 2976, 3914, 11141, 2003, 3599, 2054, 1037, 2489, 3006, 2003, 2025, 1012, 2065, 1996, 2061, 1011, 2170, 13010, 1997, 2449, 1998, 1996, 2489, 3006, 1010, 1996, 2813, 2395, 3485, 1010, 2123, 1521, 1056, 2130, 3305, 2054, 1521, 1055, 3308, 2007, 2037, 4861, 1010, 1045, 1012, 1041, 1012, 1010, 1996, 2976, 3914, 1521, 1055, 1523, 4563, 3105, 2003, 8498, 2019, 3452, 6540, 3976, 2504, 1010, 1524, 2059, 2643, 2393, 1996, 2717, 1997, 1996, 17338, 3630, 1011, 14262, 10343, 1999, 2637, 1012, 2011, 6210, 1010, 1996, 1059, 2015, 3501, 2003, 20324, 3171, 23779, 1010, 1037, 2433, 1997, 14649, 1999, 2029, 1996, 2231, 1516, 2030, 4788, 2664, 1010, 2019, 3265, 2170, 1996, 7349, 3914, 3472, 1011, 1011, 7711, 1998, 26773, 2035, 1996, 2965, 1997, 2537, 3081, 1037, 2797, 21680, 1997, 25375, 21575, 1996, 2769, 4425, 1010, 3599, 1996, 4500, 1997, 1037, 2489, 3006, 1012, 2057, 2031, 2000, 3198, 1024, 2003, 1996, 1059, 2015, 3501, 3432, 21591, 2055, 3937, 5543, 1998, 12194, 4331, 1010, 2079, 2027, 2031, 2178, 11376 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15942, 1043, 2475, 11058, 4830, 2278, 2003, 1037, 4830, 2278, 2007, 1996, 2373, 2000, 27503, 2135, 2832, 2035, 1997, 2651, 1521, 1055, 3284, 1011, 5813, 3617, 2189, 11630, 1010, 2039, 2000, 16233, 2094, 22203, 2475, 1998, 7473, 2213, 1999, 3590, 16313, 1013, 4229, 2549, 2243, 1012, 2021, 1996, 15942, 1043, 2475, 2003, 2036, 1037, 3929, 1011, 8360, 5460, 2121, 1010, 5214, 1997, 7176, 3495, 2000, 2115, 3617, 2189, 4216, 1012, 4102, 2000, 1996, 2434, 15942, 1010, 1996, 15942, 1043, 2475, 2038, 1037, 3294, 2128, 1011, 2881, 3252, 1010, 21183, 24411, 2075, 15240, 10415, 1521, 1055, 26060, 4132, 2000, 17698, 1010, 2832, 1998, 5362, 15176, 6959, 1997, 1996, 3120, 4742, 2000, 1037, 28749, 4830, 2278, 9090, 1012, 2005, 1996, 2034, 2051, 1999, 1996, 5746, 3068, 1010, 2009, 1521, 1055, 1037, 4830, 2278, 2008, 5748, 9174, 1997, 1996, 3120, 4742, 1521, 1055, 6075, 1024, 15942, 1043, 2475, 17698, 2015, 2951, 1999, 2107, 1037, 2126, 2008, 2009, 2038, 2053, 2342, 2000, 5843, 2006, 2000, 1996, 6075, 1997, 2049, 3120, 4742, 1012, 2196, 2077, 2038, 1037, 4830, 2278, 2042, 2583, 2000, 4498, 21208, 10984, 2007, 2049, 2219, 5119, 2075, 1516, 1999, 2023, 2553, 1010, 5186, 10480, 7037, 5824, 10768, 20492, 2080, 3040, 20940, 1012, 10650, 2013, 2648, 12546, 1010, 1996, 15942, 1043, 2475, 18058, 3294, 10147, 12079, 1011, 2489, 2836, 1012, 2012, 1996, 2540, 1997, 1996, 15942, 1043, 2475, 2003, 1996, 15240, 10415, 26060, 4132, 1010, 7419, 1037, 17718, 1011, 4563, 1037, 2683, 9090, 1010, 1015, 18259, 20315, 2099, 2509, 3638, 1998, 1018, 18259, 1997, 5527, 2005, 17208, 10898, 2423, 2335, 5514, 2084, 2049, 8646, 1012, 5587, 4435, 1011, 2047, 14891, 27760, 2278, 12477, 2008, 14245, 2951, 6726, 2090, 3078, 13782, 2008, 2024, 4498, 5459, 8186, 1998, 11087, 1011, 4550, 2373, 2013, 7037, 2659, 1011, 5005, 7399, 5760, 2099, 1011, 2373, 3197, 1010, 1998, 2009, 1521, 1055, 3154, 2023, 4830, 2278, 29453, 2015, 2005, 2019, 11698, 4742, 2008, 1521, 1055, 2004, 5760, 2004, 2009, 2003, 8884, 2000, 1996, 2189, 1012, 3929, 13135, 3872, 2491, 2003, 2178, 2047, 3444, 6037, 1999, 1996, 15942, 1043, 2475, 1012, 2009, 1521, 1055, 2241, 2006, 1037, 4310, 9507, 2953, 10535, 2012, 6528, 6692, 4263, 2897, 2328, 2011, 15240, 10415, 1010, 1998, 9891, 3599, 5717, 2783, 2320, 2009, 1521, 1055, 2275, 1012, 5717, 2783, 19635, 5717, 11099, 1010, 1998, 2009, 1521, 1055, 2028, 2062, 8144, 2104, 1996, 7415, 1997, 1996, 15942, 1043, 2475, 2008, 11138, 2019, 27885, 8583, 12742, 3086, 2000, 6987, 1012, 2362, 2007, 15240, 10415, 1521, 1055, 2030, 7959, 2080, 2465, 1011, 1037, 6434, 11336, 1010, 4427, 2011, 4438, 21800, 5617, 1010, 1996, 2203, 2765, 2003, 2019, 11757, 11633, 2504, 1997, 3315, 8312, 1012, 13543, 15240, 10415, 1521, 1055, 7407, 11058, 2974, 1010, 1996, 15942, 1043, 2475, 3138, 2006, 2035, 1996, 11058, 15380, 1998, 20831, 1997, 1037, 4056, 5460, 2121, 1012, 2043, 4198, 2058, 26110, 2000, 1037, 2188, 2897, 1010, 2035, 1997, 7407, 11058, 1521, 1055, 2838, 2468, 2800, 1012, 5310, 2491, 2003, 2012, 3024, 3081, 1996, 15240, 10415, 7661, 16380, 2491, 10439, 7407, 16233, 1010, 1998, 7407, 8241, 16437, 2005, 1996, 15942, 1043, 2475, 2003, 2081, 3733, 2007, 5415, 3229, 2000, 1996, 2047, 4773, 8278, 2013, 2151, 26381, 1010, 13855, 1010, 2030, 3274, 1012, 1996, 15942, 1043, 2475, 11058, 4830, 2278, 2003, 1037, 7378, 20996, 2239, 3201, 2203, 8400, 2205, 1010, 2005, 25180, 3238, 8346, 2007, 20996, 2239, 4007, 1012, 1996, 10488, 2229, 1043, 2475, 11058, 3665, 2121, 9949, 2135, 8539, 2115, 2188, 5746, 2291, 2000, 2035, 2115, 7578, 4216, 1997, 3617, 2189, 1010, 2013, 2897, 2098, 1998, 18833, 1011, 4987, 5527, 2000, 3279, 3238, 4274, 11058, 2578, 1998, 4274, 2557, 1012, 16500, 2151, 1016, 1012, 1019, 1524, 5024, 1011, 2110, 2030, 2524, 3298, 1998, 1996, 10488, 2229, 1043, 2475, 4150, 1037, 3929, 8360, 2189, 8241, 1999, 2049, 2219, 2157, 2007, 2006, 1011, 5080, 9936, 1997, 2115, 3617, 3075, 1012, 3444, 1011, 4138, 1998, 7407, 3435, 1010, 1996, 10488, 2229, 1043, 2475, 12374, 6276, 1011, 3341, 14891, 27760, 2278, 12477, 3330, 1998, 11087, 1011, 4550, 2373, 2491, 2005, 17727, 8586, 21170, 2729, 1997, 1996, 3617, 7755, 2009, 16024, 1012, 7037, 10768, 20492, 2080, 20940, 1998, 2019, 12495, 1011, 25553, 11832, 3698, 2094, 2013, 1037, 2309, 3021, 3388, 1997, 13061, 2024, 2426, 1996, 2838, 2008, 2191, 1996, 10488, 2229, 1043, 2475, 16036, 2000, 2275, 1037, 2047, 3115, 1997, 3737, 1999, 3617, 5746, 11058, 1012, 10488, 2229, 1043, 2475, 16036, 2000, 2275, 1037, 2047, 3115, 1997, 3737, 1999, 3617, 5746, 11058, 1012, 2012, 2049, 4563, 1996, 10488, 2229, 1043, 2475, 2003, 1037, 5080, 2008, 15908, 2015, 4487, 27694, 3686, 4216, 1997, 2651, 1521, 1055, 3284, 5813, 2189, 6764, 1998, 18058, 2008, 3120, 3430, 2000, 2115, 4830, 2278, 1010, 2128, 6632, 6321, 1998, 10785, 1010, 3081, 6434, 7047, 2164, 15240, 10415, 7407, 4957, 1010, 2152, 1011, 3177, 18833, 5746, 1016, 1012, 1014, 1010, 29347, 2015, 1013, 1041, 8569, 1010, 3617, 28155, 14787, 2140, 1010, 1998, 2000, 22908, 2243, 1012, 1996, 13151, 2012, 1996, 2540, 1997, 1996, 10488, 2229, 1043, 2475, 2003, 2753, 1003, 5514, 2084, 1996, 2434, 10488, 2229, 11058, 2958, 1010, 2007, 3807, 1996, 2291, 3638, 1998, 2951, 5527, 1997, 2049, 8646, 1012, 2008, 2965, 2130, 6082, 8304, 1997, 18853, 2039, 2000, 16233, 2094, 22203, 2475, 1998, 7473, 2213, 3590, 16313, 1013, 4229, 2549, 2243, 1010, 1998, 3445, 3860, 2114, 4530, 12166, 1012, 1996, 2224, 1997, 15240, 10415, 1521, 1055, 7407, 11058, 6502, 11082, 1996, 10488, 2229, 1043, 2475, 2191, 2216, 7264, 2007, 2115, 2189, 6764, 2825, 2058, 2115, 4493, 15536, 1011, 10882, 2897, 1010, 1998, 7545, 2007, 2009, 2794, 2838, 2066, 2006, 1011, 5080, 2377, 27103, 1010, 3638, 6187, 8450, 1010, 6578, 3238, 18245, 1998, 2978, 1011, 3819, 4800, 1011, 2282, 15380, 1012, 2009, 1521, 1055, 2035, 4758, 3081, 1996, 15240, 10415, 7661, 16380, 10439, 1010, 7407, 16233, 1516, 2030, 3229, 7407, 16437, 2083, 1996, 2047, 4773, 8278, 2006, 2151, 6047, 5080, 1012, 1999, 2804, 2000, 21778, 2007, 15341, 1010, 1996, 10488, 2229, 1043, 2475, 2003, 1037, 7378, 20996, 2239, 3201, 2203, 8400, 2005, 25180, 3238, 8346, 2007, 20996, 2239, 4007, 1010, 2437, 2009, 2028, 1997, 1996, 2087, 12379, 5460, 2545, 2800, 1012, 1996, 10488, 2229, 1043, 2475, 11058, 3665, 2121, 7027, 2015, 2012, 28182, 1010, 6486, 2683, 2302, 4722, 5527, 1012, 2017, 2089, 16500, 2151, 1016, 1012, 1019, 1524, 5024, 1011, 2110, 2030, 2524, 3298, 2030, 2344, 1996, 10488, 2229, 1043, 2475, 2007, 1037, 3653, 1011, 5361, 5024, 1011, 2110, 3298, 2005, 2006, 1011, 5080, 2189, 5527, 1012, 1005, 2054, 1996, 15240, 10415, 11508, 2483, 4107, 2003, 1037, 9233, 2021, 6171, 5214, 3617, 23291, 3325, 1012, 2023, 2003, 2028, 1997, 1996, 2087, 25605, 2135, 5214, 11058, 7248, 2006, 1996, 3006, 1998, 2023, 3084, 2005, 1037, 5080, 2008, 2097, 2131, 1996, 2190, 2041, 1997, 1037, 3617, 3075, 2053, 3043, 2129, 7578, 2009, 2003, 1998, 2129, 2116, 2367, 11630, 2009, 2950, 1012, 4117, 2007, 5024, 11058, 2326, 2490, 1998, 2019, 6581, 10439, 1010, 2017, 2031, 1037, 5080, 2008, 2003, 2157, 2039, 2012, 1996, 2327, 1997, 1996, 5308, 1012, 4117, 2007, 1037, 2092, 1011, 6377, 23713, 3669, 10803, 2930, 1010, 1996, 3463, 2024, 5186, 8052, 1012, 2096, 2009, 2038, 2000, 2507, 2598, 2000, 1996, 21800, 20831, 1997, 2070, 9169, 1010, 2045, 2323, 2022, 2438, 2005, 2087, 2052, 1011, 2022, 5608, 1012, 2023, 9233, 1998, 2092, 2245, 2041, 5080, 4107, 6581, 2836, 2005, 1996, 4851, 3976, 1998, 10943, 2015, 12832, 1012, 1005, 1000, 1012, 1012, 1012, 1045, 2036, 2109, 2023, 2007, 2019, 13232, 5882, 2291, 1998, 2018, 1037, 3608, 1997, 1037, 2051, 4283, 2000, 1996, 5882, 1521, 1055, 9487, 3177, 1998, 3315, 3012, 1012, 2061, 10984, 2003, 2039, 2045, 2007, 1996, 2488, 3617, 7047, 1012, 1045, 2134, 1521, 1056, 2031, 2051, 2000, 3046, 1996, 2536, 11307, 10906, 2008, 2788, 2191, 1037, 4489, 2006, 1996, 10984, 2392, 1010, 2061, 2009, 1521, 1055, 2825, 2009, 2018, 2062, 2000, 2507, 1999, 2008, 10232, 4847, 1012, 1045, 2036, 2109, 1996, 23647, 4313, 1999, 1037, 2625, 4187, 2275, 2039, 2074, 2000, 8849, 2047, 2189, 1998, 2179, 2009, 10862, 22249, 1010, 2029, 2003, 1037, 2204, 2765, 2005, 1037, 28554, 2100, 11829, 4590, 2066, 2033, 999, 1996, 5703, 1997, 3857, 1010, 2838, 1998, 23661, 3084, 1996, 23647, 4313, 1037, 2307, 5460, 2121, 1010, 2009, 4165, 9839, 2062, 11973, 2084, 1037, 7473, 1998, 1037, 4830, 2278, 1998, 4107, 1037, 2491, 10439, 2008, 2003, 2426, 1996, 2190, 2105, 1012, 1999, 3606, 2009, 1521, 1055, 2524, 2000, 2156, 2054, 1521, 1055, 2025, 2000, 2066, 1012, 1000, 1000, 1045, 2572, 2440, 1997, 15180, 2005, 2054, 15240, 10415, 2038, 2589, 2007, 1996, 10488, 2229, 1012, 2009, 15173, 1996, 2453, 10458, 8595, 1010, 1998, 15240, 10415, 2038, 2025, 2069, 9511, 1996, 16735, 2008, 2060, 5460, 2121, 11153, 2991, 2046, 1010, 2021, 5754, 19190, 11733, 3064, 2068, 999, 2023, 5793, 2190, 4965, 3131, 27885, 9035, 4570, 1996, 2342, 2005, 1037, 3729, 2447, 1998, 5836, 1037, 2613, 12687, 2005, 11058, 2974, 1012, 1000, 1000, 1996, 3463, 2024, 2004, 2204, 2004, 2505, 2017, 2024, 3497, 2000, 2156, 2005, 2104, 27708, 2692, 1000, 1000, 2043, 2017, 5136, 1996, 9233, 2946, 1997, 1996, 11832, 1998, 2129, 3733, 2009, 2003, 2000, 2358, 5004, 1999, 1037, 12302, 2686, 1010, 2023, 2003, 1037, 5460, 2121, 2008, 4107, 1037, 4121, 3815, 1997, 10673, 2302, 2172, 1999, 1996, 2126, 1997, 12014, 1012, 2096, 1996, 2190, 3463, 2024, 17319, 4227, 2007, 1996, 6327, 2373, 4425, 1999, 2173, 1010, 2017, 2071, 4965, 1996, 10488, 2229, 7163, 2302, 2009, 1998, 5166, 2005, 2009, 2582, 2091, 1996, 2240, 1012, 2725, 2061, 2097, 3499, 2017, 2000, 2131, 2115, 2398, 2006, 2028, 1997, 1996, 2087, 8885, 15184, 5460, 2545, 1045, 1005, 2310, 2664, 2000, 4952, 2000, 1000, 1000, 1996, 15942, 1005, 1055, 3444, 2275, 3084, 2009, 2019, 5151, 14848, 2005, 3087, 2559, 2005, 1037, 2327, 3737, 4830, 2278, 1013, 3653, 16613, 3669, 8873, 2121, 1012, 2045, 1521, 1055, 1037, 3019, 7496, 2000, 1996, 15942, 1521, 1055, 2189, 2437, 1010, 2664, 2009, 1521, 1055, 2025, 2205, 5744, 1011, 9391, 2000, 6487, 1996, 2189, 1997, 8995, 3012, 1012, 1000, 2009, 2211, 2013, 1996, 8463, 1997, 2019, 9313, 22686, 2008, 2064, 2092, 2674, 2007, 2715, 2327, 3737, 2132, 19093, 1010, 4427, 2011, 1996, 3969, 1997, 14641, 11265, 3726, 1005, 1055, 8987, 2640, 4695, 1010, 7682, 2007, 2715, 3722, 13650, 3311, 1010, 19982, 7946, 12395, 6137, 2003, 2141, 2007, 1037, 3819, 5317, 28964, 1997, 4438, 1998, 3769, 3787, 1012, 1996, 5744, 1010, 4138, 1998, 6851, 2376, 1997, 19982, 7946, 12395, 6137, 2003, 1037, 8338, 1997, 15240, 10415, 1521, 1055, 11552, 1998, 19415, 12465, 5510, 1012, 7727, 2000, 11265, 3726, 21800, 10122, 1521, 1055, 4984, 2640, 1010, 15240, 10415, 1999, 15338, 1996, 2030, 7959, 2080, 2465, 1011, 1037, 6434, 11336, 1998, 4906, 2068, 2046, 19982, 7946, 12395, 6137, 1012, 1996, 2030, 7959, 2080, 11336, 4107, 2307, 4439, 3754, 2011, 18058, 6694, 2213, 2860, 1006, 5174, 11631, 2213, 1007, 2000, 10332, 2692, 2213, 2860, 1006, 3590, 11631, 2213, 1007, 2373, 2046, 2536, 15665, 1025, 2023, 4473, 19982, 7946, 12395, 6137, 2000, 11025, 2041, 2296, 2132, 9864, 1521, 1055, 9859, 1010, 4895, 10371, 1996, 5053, 1997, 2037, 4310, 12728, 2806, 1012, 7001, 2075, 2000, 1996, 11087, 2659, 5005, 7953, 17698, 21727, 2011, 15240, 10415, 1010, 19982, 7946, 12395, 6137, 2038, 1037, 2898, 8790, 2846, 3618, 2084, 7558, 18939, 2096, 9319, 1996, 6434, 5005, 2625, 2084, 1019, 2226, 2615, 1012, 2007, 2107, 26137, 2836, 1010, 19982, 7946, 2003, 2583, 2000, 5425, 1996, 2087, 4714, 2189, 3670, 2746, 2013, 1996, 3120, 6922, 1012, 1996, 19982, 7946, 12395, 6137, 16473, 2006, 1996, 2640, 1997, 1996, 2434, 2400, 1011, 3045, 19982, 7946, 1010, 3390, 1999, 2230, 1010, 2011, 16966, 2035, 3302, 1011, 5614, 6177, 1999, 2019, 5746, 4742, 8983, 1012, 2009, 2036, 3445, 1996, 19982, 7946, 1521, 12495, 25553, 1010, 8161, 5005, 2013, 1996, 7953, 17698, 2000, 1014, 1012, 1022, 2226, 2615, 1010, 2625, 2084, 2431, 1996, 2504, 1997, 1996, 2434, 1012, 5678, 1010, 15240, 10415, 5301, 1996, 7953, 6942, 4984, 2000, 3623, 1996, 12477, 2426, 2367, 7953, 6833, 1010, 2029, 12992, 2015, 2836, 2043, 1996, 19982, 7946, 12395, 6137, 2003, 4198, 2000, 3674, 4216, 1012, 17966, 2189, 3670, 1010, 12138, 4984, 2640, 1998, 8235, 3311, 1025, 19982, 7946, 12395, 6137, 2003, 2178, 27792, 2573, 2881, 2011, 15240, 10415, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2062, 2084, 2382, 6818, 3230, 1996, 2724, 1010, 2029, 2657, 5857, 2013, 2951, 16360, 20049, 29469, 2229, 2008, 3066, 2007, 2107, 2951, 3679, 1998, 16428, 2213, 6950, 2040, 2024, 2551, 2000, 5335, 1996, 2126, 2057, 3745, 1998, 21893, 7591, 2951, 1012, 2310, 2121, 2571, 3158, 7939, 1041, 6038, 4181, 1006, 2866, 2951, 8756, 1007, 2441, 1996, 8395, 2007, 1037, 6179, 19184, 1997, 1996, 3423, 1998, 12962, 7860, 4320, 2011, 2951, 16360, 20049, 29469, 2229, 1998, 1996, 2866, 2850, 1521, 1055, 3921, 2000, 6605, 7591, 2951, 1012, 3423, 5936, 2005, 2951, 16360, 20049, 29469, 2229, 1996, 2951, 3860, 2552, 2003, 3497, 2000, 2022, 1037, 2350, 5142, 2005, 16360, 20049, 29469, 2229, 1516, 2107, 2004, 1996, 2866, 2850, 1516, 2029, 3573, 2470, 8800, 2000, 2529, 5739, 1012, 2310, 2121, 2571, 7902, 2098, 2008, 1996, 1040, 4502, 2323, 2025, 26402, 12962, 2135, 4146, 2470, 1998, 2008, 1996, 2552, 2053, 2936, 12033, 2065, 2951, 2003, 6464, 2019, 16585, 28732, 2094, 1012, 2470, 2951, 2218, 2011, 2270, 4753, 5502, 2089, 2036, 2022, 3395, 2000, 4071, 1997, 2592, 11186, 1012, 2951, 4820, 3167, 2592, 2003, 3272, 2098, 2013, 1042, 10448, 11186, 1010, 2004, 2003, 2151, 2592, 2218, 2104, 1037, 18777, 3012, 3820, 1012, 2065, 2045, 2003, 1037, 3278, 3891, 2008, 2713, 1997, 2951, 2052, 2599, 2000, 3423, 2895, 2114, 1996, 2951, 8756, 1010, 2059, 2009, 2323, 2025, 2022, 2207, 2104, 1042, 10448, 1012, 2310, 2121, 2571, 13233, 2008, 1996, 5368, 2005, 12962, 2951, 2968, 2003, 1037, 4207, 2028, 1010, 2007, 1996, 22409, 1013, 8756, 1010, 1996, 2951, 8543, 1998, 1996, 2203, 1011, 5310, 2035, 2652, 1037, 2112, 1012, 1996, 2535, 1997, 1996, 22409, 1996, 3145, 4972, 1997, 1996, 22409, 1013, 8756, 2024, 2000, 9585, 1998, 2490, 1996, 12962, 2128, 1011, 2224, 1997, 2951, 1998, 2000, 20446, 5562, 23661, 1012, 24670, 1010, 1996, 2535, 1997, 1037, 22409, 2003, 2000, 3073, 3404, 1999, 1996, 2951, 6631, 2832, 1012, 1996, 2866, 2850, 3138, 1037, 3528, 1997, 8107, 2000, 6605, 7591, 2951, 1024, 2013, 2019, 16585, 15630, 3370, 1997, 3167, 2592, 1010, 26996, 3229, 2000, 4844, 5198, 1010, 11243, 7861, 8237, 3995, 6993, 2030, 1010, 1999, 2070, 3572, 1010, 23977, 2951, 1999, 1037, 2951, 1523, 25867, 1524, 1010, 2007, 2200, 3132, 3229, 1998, 9384, 7711, 2006, 2128, 1011, 2224, 1006, 2156, 5851, 2951, 2326, 1007, 1012, 2130, 2043, 3229, 2000, 2866, 2850, 2951, 2003, 7775, 1010, 1996, 27425, 1998, 12653, 2003, 10132, 7801, 2061, 2008, 6950, 2064, 2424, 2041, 2054, 2003, 2800, 1998, 2129, 2027, 2064, 5114, 3229, 2009, 1012, 2592, 2006, 2916, 1010, 3229, 1998, 2128, 1011, 2224, 3785, 2003, 4838, 1999, 1996, 27425, 1012, 1996, 2535, 1997, 1996, 10753, 1996, 12962, 13494, 1997, 2470, 2323, 2022, 2641, 2013, 1996, 2927, 1997, 1037, 2470, 2622, 1998, 8182, 2802, 1012, 6950, 2323, 2034, 5136, 3251, 2009, 2003, 4072, 2000, 8145, 3167, 2951, 1998, 1010, 2065, 2061, 1010, 2323, 2019, 16585, 28732, 1996, 2951, 2030, 6148, 6727, 9619, 2013, 6818, 2000, 2224, 2037, 3167, 2951, 1012, 1996, 2951, 22409, 2038, 1037, 4611, 2000, 4638, 2008, 1996, 12816, 2953, 2038, 2864, 1996, 4072, 29361, 1998, 2036, 2000, 5993, 2588, 1996, 6413, 3229, 3785, 2005, 1996, 2951, 13462, 1012, 1996, 11172, 3820, 2029, 12816, 5668, 2024, 2356, 2000, 3696, 4520, 2041, 1996, 14422, 1997, 2119, 1996, 12816, 2953, 1998, 8756, 1012, 1996, 2866, 2850, 27791, 2000, 2437, 1996, 2951, 2800, 2069, 2104, 3530, 3229, 1998, 8192, 3785, 1998, 1996, 2951, 3954, 2003, 2356, 2000, 11302, 2008, 1996, 3430, 2515, 2025, 12510, 9394, 2030, 2951, 3860, 4277, 1012, 2012, 1996, 2060, 2203, 1997, 1996, 2951, 6631, 2832, 1010, 2951, 5198, 2024, 3223, 2000, 3696, 1037, 10142, 1011, 8031, 2203, 5310, 11172, 2008, 27171, 1996, 3785, 2104, 2029, 1996, 2951, 2064, 2022, 2109, 1012, 27818, 1996, 18777, 3012, 1997, 2951, 5739, 2003, 11734, 1010, 2007, 5198, 3223, 2000, 1523, 7969, 2012, 2035, 2335, 1996, 18777, 3012, 1997, 2592, 20246, 2000, 3633, 1998, 1013, 2030, 3911, 1999, 1996, 2951, 6407, 2073, 1996, 2592, 2003, 2025, 1999, 1996, 2270, 5884, 1524, 1012, 1996, 11172, 2036, 21573, 2015, 1996, 2128, 1011, 2224, 1997, 2951, 2005, 3293, 5682, 4983, 2582, 6656, 2015, 2031, 2042, 4912, 1012, 3056, 3391, 7591, 2951, 2218, 2011, 1996, 2866, 2850, 2003, 3395, 2000, 3176, 2569, 11172, 3785, 2030, 3229, 9259, 2000, 1520, 4844, 6950, 1521, 2069, 1012, 3602, 1024, 1996, 2866, 2850, 2951, 15943, 2089, 2022, 2128, 1011, 3800, 2094, 2011, 2060, 8264, 1013, 16360, 20049, 29469, 2229, 2007, 6413, 2012, 18886, 29446, 2000, 1996, 2118, 1997, 8862, 2004, 9385, 3954, 1012, 5198, 2323, 3602, 1996, 1996, 2206, 4861, 2013, 1996, 2866, 2850, 2472, 1024, 1523, 1996, 11172, 2003, 3024, 1520, 2004, 2003, 1521, 1010, 2302, 10943, 2100, 1997, 2151, 2785, 1010, 4671, 2030, 13339, 1010, 2164, 2021, 2025, 3132, 2000, 1996, 10943, 3111, 1997, 6432, 8010, 1010, 10516, 2005, 1037, 3327, 3800, 1998, 2512, 2378, 19699, 23496, 3672, 1012, 1999, 2053, 2724, 4618, 1996, 6048, 2030, 9385, 13304, 2022, 20090, 2005, 2151, 4366, 1010, 12394, 2030, 2060, 14000, 1010, 3251, 1999, 2019, 2895, 1997, 3206, 1010, 17153, 2102, 2030, 4728, 1010, 17707, 2013, 1010, 2041, 1997, 2030, 1999, 4434, 2007, 1996, 11172, 2030, 1996, 2224, 2030, 2060, 24069, 1999, 1996, 11172, 1012, 1524, 6605, 20906, 1998, 3167, 2951, 2279, 2039, 2001, 5655, 6945, 5104, 1006, 2118, 1997, 11258, 1007, 2040, 2435, 2019, 12369, 2046, 1996, 2968, 1997, 20906, 1998, 3167, 2951, 2013, 2010, 7339, 2004, 2622, 2599, 2006, 1996, 7987, 14643, 23615, 2622, 1012, 5655, 3591, 2070, 3463, 2013, 1037, 2230, 2470, 2951, 3036, 5002, 10607, 2012, 1996, 2118, 1997, 11258, 1012, 1996, 5002, 1997, 2062, 2008, 11910, 6950, 11548, 1996, 3278, 2193, 1997, 2118, 2470, 2040, 2907, 9280, 7591, 2951, 1012, 11258, 2003, 3979, 2989, 1037, 2291, 1997, 2478, 16428, 2213, 22173, 2004, 1037, 9495, 2000, 9499, 2068, 2000, 9280, 7591, 2470, 2951, 9583, 1024, 6950, 2024, 2356, 2065, 2037, 2951, 2089, 2022, 7591, 2030, 5478, 3176, 3036, 5761, 1012, 2065, 2027, 3437, 1520, 2748, 1521, 2059, 2019, 9499, 2003, 2741, 2000, 1996, 2009, 2470, 2490, 2136, 1012, 5604, 1997, 1040, 8737, 3784, 2001, 2036, 10607, 1010, 2348, 1996, 3433, 3446, 2013, 6950, 2001, 7199, 2659, 1006, 20655, 1996, 7669, 1997, 11973, 6950, 2007, 16428, 2213, 3314, 1007, 1012, 2070, 3314, 2992, 2020, 2008, 3056, 4636, 2545, 7882, 2000, 1996, 6950, 8781, 2020, 2025, 3205, 1010, 1998, 2009, 2001, 10599, 2129, 1996, 1040, 8737, 3980, 4906, 2007, 4493, 17237, 5918, 2005, 2966, 2470, 2951, 1012, 18305, 5061, 2013, 1996, 2118, 1997, 7198, 2059, 2435, 1037, 2200, 5875, 2831, 2006, 1996, 2147, 2008, 1996, 2470, 21619, 2692, 2622, 2003, 2725, 2006, 1996, 7860, 1997, 2551, 2007, 3293, 2470, 5826, 1012, 7198, 2038, 1037, 2312, 2193, 1997, 12317, 1998, 11088, 6485, 2470, 3934, 1010, 2061, 1996, 3754, 2000, 6464, 6133, 2951, 2550, 2104, 2107, 7565, 2003, 3391, 2590, 1012, 2054, 2079, 2057, 2812, 2011, 1520, 11088, 7591, 1521, 2951, 1029, 1996, 2951, 2993, 2071, 2031, 2070, 3293, 3643, 1006, 1041, 1012, 1043, 1012, 2004, 3350, 2005, 7353, 4646, 1007, 2030, 2009, 2089, 5383, 2592, 2055, 1996, 2194, 2029, 1010, 2065, 2207, 1010, 2071, 4053, 2037, 2449, 1012, 2009, 2071, 2036, 2022, 1996, 3293, 4256, 1521, 1055, 3001, 2030, 6194, 2008, 2024, 11088, 7591, 1010, 2005, 2742, 1037, 16350, 4118, 1997, 9334, 2951, 1516, 2130, 2043, 1996, 2951, 2993, 2003, 2025, 1520, 7591, 1521, 1012, 16428, 2213, 6666, 2005, 3293, 13797, 1996, 2470, 21619, 2692, 2622, 2003, 2559, 2012, 2070, 1997, 1996, 6666, 1997, 16428, 2213, 2005, 3293, 17437, 1012, 2005, 1996, 2118, 1010, 2383, 2204, 16428, 2213, 6078, 1998, 6502, 1999, 2173, 2323, 9958, 2152, 1011, 3737, 5826, 1998, 12919, 4493, 6550, 1012, 2005, 3293, 8593, 1010, 1037, 4957, 2007, 1037, 2118, 3640, 3229, 2000, 6950, 1998, 2493, 2040, 2024, 5281, 1999, 16428, 2213, 1516, 4813, 2008, 1996, 2194, 2089, 2025, 2031, 1999, 1011, 2160, 1012, 2107, 1037, 5386, 2089, 2022, 3391, 16004, 2000, 15488, 2229, 1010, 2004, 2009, 2052, 3073, 3229, 2000, 1037, 15873, 1998, 5851, 2951, 2968, 6502, 2008, 2089, 4728, 2025, 2022, 2800, 2000, 2068, 1012, 10753, 23271, 1997, 2951, 6631, 1037, 5002, 4146, 2012, 7198, 3662, 2008, 1996, 3484, 1997, 6950, 8781, 2593, 2134, 1521, 1056, 2215, 2000, 2030, 3373, 2008, 2027, 2020, 2025, 7936, 2000, 3745, 2037, 2951, 1012, 11088, 1011, 6787, 6950, 2020, 2179, 2000, 2022, 3807, 2004, 3497, 2000, 2022, 15175, 1013, 4039, 2000, 3745, 2084, 2216, 2007, 2060, 4804, 4216, 1012, 16428, 2213, 3343, 1998, 4256, 2951, 1037, 3145, 3160, 2005, 1037, 2118, 2066, 7198, 2003, 3251, 2009, 2323, 3573, 2951, 2550, 2011, 2622, 5826, 1012, 2065, 1996, 4256, 2038, 3229, 2000, 2009, 1521, 1055, 2219, 22409, 1006, 1041, 1012, 1043, 1012, 2043, 4256, 2003, 2178, 2002, 2072, 1007, 2059, 2023, 2003, 14203, 1010, 2021, 2073, 1996, 4256, 2003, 1037, 3293, 5502, 2302, 3229, 2000, 22409, 4128, 1010, 1996, 3437, 2003, 2625, 3154, 1012, 18305, 3264, 2008, 1996, 3423, 13494, 1997, 23977, 4256, 2951, 2024, 2025, 3154, 1012, 2023, 2038, 13494, 2005, 7198, 1521, 1055, 16428, 2213, 3343, 1010, 2029, 2442, 8752, 1996, 7578, 2846, 1997, 5792, 10540, 2005, 3934, 14128, 1012, 2045, 2024, 2036, 12546, 2005, 1996, 3343, 1010, 2004, 2009, 2064, 1521, 1056, 5478, 11157, 2493, 2030, 11016, 6950, 2000, 14037, 1012, 8951, 11088, 7591, 2951, 18305, 11548, 2070, 5151, 3980, 2005, 2951, 8941, 2008, 2024, 6224, 2000, 2191, 11088, 7591, 2951, 25022, 10880, 1012, 1011, 14516, 8909, 4765, 28295, 1024, 2003, 1037, 9193, 6413, 2065, 2951, 2025, 3202, 7271, 1029, 2323, 9193, 12927, 2075, 2022, 8394, 2127, 2151, 7861, 8237, 3995, 2003, 4196, 1029, 1011, 4772, 3058, 1024, 2009, 2003, 2025, 3154, 2129, 2023, 2097, 2022, 4372, 17695, 23722, 4383, 1999, 1996, 27425, 1012, 2071, 2022, 3058, 1997, 2951, 12816, 1010, 3058, 1997, 2951, 2713, 2030, 2203, 1997, 2622, 1012, 2079, 2057, 2342, 3176, 27425, 4249, 2000, 3066, 2007, 2023, 1029, 1011, 7861, 8237, 3995, 2229, 1024, 2054, 2079, 2057, 2079, 2007, 1523, 8642, 1524, 7861, 8237, 3995, 2098, 2951, 1029, 2089, 2215, 2000, 2191, 2800, 1999, 1996, 2200, 2146, 2744, 1006, 2005, 3439, 5682, 1007, 1012, 2951, 2968, 2012, 2358, 11329, 4422, 12351, 2013, 1996, 2358, 11329, 1521, 1055, 18472, 26050, 5911, 2165, 1037, 10753, 1011, 9358, 7277, 3193, 1997, 1996, 9615, 1997, 2951, 6631, 1010, 2007, 1037, 2298, 2012, 1996, 3451, 13500, 2000, 6923, 2951, 1011, 6631, 1998, 1996, 13494, 2122, 2031, 2005, 4975, 16428, 2213, 6043, 1012, 1996, 4119, 4320, 2011, 4896, 1998, 16360, 20049, 29469, 2229, 2003, 7680, 7583, 1011, 2039, 2011, 1037, 4736, 2306, 1996, 22110, 6968, 2691, 6481, 2006, 2951, 3343, 1010, 1999, 2029, 1996, 6631, 1997, 2470, 2951, 2003, 4453, 2004, 1037, 1520, 2270, 2204, 1521, 1010, 2664, 2036, 13399, 1996, 2342, 2000, 11949, 3423, 1010, 12962, 2030, 3293, 14679, 2006, 2951, 2713, 1012, 1996, 2350, 3231, 2005, 4896, 2003, 2000, 4503, 2951, 2968, 3488, 1998, 16428, 2213, 6502, 2015, 2008, 2064, 8752, 2023, 4736, 1012, 2358, 11329, 1521, 1055, 2951, 22409, 2003, 2714, 2000, 1037, 2118, 22409, 1999, 2008, 2951, 2003, 2119, 2580, 1998, 8250, 2306, 1996, 2168, 4322, 1012, 2174, 1010, 2009, 2064, 2036, 2022, 2641, 2000, 2022, 2066, 1037, 1520, 3395, 22409, 1521, 2004, 1996, 2951, 2009, 17427, 2065, 2411, 9009, 1011, 3563, 1010, 2348, 2045, 2003, 2053, 11405, 2000, 4487, 11393, 19269, 2023, 2951, 2000, 2500, 2306, 9009, 1012, 2358, 11329, 22409, 6043, 3568, 2442, 2022, 2881, 2000, 8752, 1996, 4310, 3791, 1997, 1996, 5310, 2451, 1012, 4422, 11548, 1996, 2742, 1997, 1996, 2951, 3343, 2005, 1996, 18301, 20393, 3120, 1010, 2029, 2038, 1996, 2206, 3145, 2838, 1024, 1011, 2035, 1006, 2512, 3293, 1007, 6315, 2951, 1998, 9108, 4663, 2004, 2765, 1997, 2489, 3229, 2000, 18301, 2003, 2081, 7271, 2800, 1012, 1011, 3229, 2000, 10161, 2003, 2330, 2000, 3087, 2021, 5942, 8819, 1012, 1011, 1017, 2095, 7861, 8237, 3995, 2006, 2951, 7013, 2013, 18301, 7885, 1012, 2004, 18301, 2003, 1996, 2951, 12731, 16033, 11692, 1010, 2951, 17277, 2442, 2191, 2050, 2569, 2553, 2065, 2027, 4792, 1037, 2936, 7861, 8237, 3995, 2558, 1012, 1011, 1996, 3408, 1997, 1996, 3343, 6611, 2000, 6315, 2951, 1012, 2951, 7013, 2011, 2582, 4106, 2089, 2022, 3395, 2000, 2060, 27948, 14422, 1012, 8951, 1996, 2951, 2012, 2556, 1010, 2358, 11329, 3314, 9193, 2015, 2006, 1037, 2566, 1011, 7551, 3978, 2005, 7885, 2029, 2024, 9334, 6315, 2951, 1012, 1999, 2925, 1010, 2009, 2089, 2022, 4072, 2000, 6611, 26954, 12604, 7934, 3012, 2000, 2951, 9583, 1012, 9193, 2015, 2024, 3843, 2012, 1996, 2927, 1997, 2019, 7551, 1010, 2004, 2009, 2003, 1996, 7551, 2993, 2008, 2358, 11329, 4299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3072, 1997, 2061, 13340, 1064, 12652, 1024, 1062, 10448, 3654, 2079, 13578, 4305, 3654, 2094, 1012, 5507, 1012, 2061, 13340, 2097, 2467, 13467, 1031, 2505, 1033, 1012, 1996, 6635, 21641, 5449, 2003, 2572, 5638, 11411, 2271, 1010, 2004, 2045, 2071, 2022, 3674, 11913, 1010, 2021, 1996, 2087, 2691, 2024, 1024, 3295, 4949, 1024, 2061, 13340, 1006, 2601, 2665, 1007, 1013, 2647, 2586, 1006, 2422, 2665, 1007, 1013, 2885, 1006, 2601, 4462, 1007, 1998, 2922, 2103, 26280, 18515, 4509, 1998, 2500, 2264, 13481, 1998, 2062, 1064, 5698, 24335, 1064, 1064, 2061, 10762, 1006, 19330, 24316, 2378, 1024, 1062, 10448, 5289, 2050, 1010, 20228, 1012, 1062, 10448, 5289, 2226, 1007, 1064, 1064, 2231, 1064, 1064, 22127, 6543, 11968, 16930, 4765, 5649, 3072, 1064, 1528, 3539, 2704, 1064, 3943, 1010, 6282, 2683, 2463, 2475, 1006, 2410, 1010, 5709, 2620, 5490, 2771, 1007, 1006, 15407, 2705, 1007, 1064, 1528, 2300, 1006, 1003, 1007, 1528, 2355, 2883, 1064, 12567, 1012, 1018, 1013, 2463, 2475, 1006, 23859, 1012, 1015, 1013, 5490, 2771, 1007, 1006, 5585, 2705, 1007, 1064, 1064, 14230, 1006, 4903, 2361, 1007, 1064, 1064, 2355, 10197, 1064, 1064, 1002, 9402, 1012, 6365, 2683, 4551, 1006, 6535, 2705, 1007, 1064, 1528, 2566, 8353, 1064, 14230, 1006, 15087, 1007, 1064, 1064, 2355, 10197, 1064, 1064, 1002, 6353, 1012, 24921, 4551, 1006, 26934, 1007, 1064, 1528, 2566, 8353, 1064, 9297, 2006, 1996, 1064, 1064, 2157, 1064, 1064, 11163, 23980, 2575, 3642, 1064, 1064, 1062, 2290, 1064, 1999, 1996, 21554, 3217, 14479, 2923, 4676, 1010, 2009, 2003, 3090, 2008, 2043, 1996, 21554, 3217, 14479, 5130, 1006, 1996, 2434, 2171, 1997, 1996, 2061, 10762, 2111, 2429, 2000, 1996, 21554, 3217, 14479, 5130, 1007, 4625, 1996, 2712, 1010, 2000, 10574, 2013, 1996, 7632, 18903, 23543, 1010, 1037, 2111, 5105, 2011, 15765, 2906, 1006, 2101, 2062, 2055, 1996, 4676, 1007, 1010, 2027, 2387, 1037, 5294, 2455, 2992, 2013, 1996, 2712, 1010, 1999, 1996, 3257, 1997, 1996, 2732, 1997, 4182, 1012, 1999, 1996, 21554, 3217, 14479, 2923, 11327, 1010, 2023, 2001, 2589, 2011, 18168, 3217, 1010, 1996, 2088, 24726, 1010, 2000, 3828, 1996, 21554, 3217, 14479, 5130, 1010, 2040, 2024, 2429, 2000, 1996, 10661, 1996, 4217, 2111, 1012, 2000, 5333, 1999, 2715, 19330, 24316, 2378, 1006, 1996, 2653, 1997, 2061, 10762, 2015, 1007, 2965, 2038, 15922, 2906, 1012, 2023, 2071, 2031, 2200, 2092, 2022, 2242, 2714, 9391, 2004, 2061, 13340, 2099, 2030, 2242, 2066, 2008, 5190, 1997, 2086, 3283, 1012, 1996, 16809, 1011, 1037, 1006, 1998, 9268, 1996, 7117, 16809, 1010, 2182, 1011, 12098, 1007, 3431, 1996, 3574, 1997, 1996, 2773, 2000, 1037, 13135, 15156, 1012, 2947, 1010, 2038, 15922, 2050, 2965, 1006, 1996, 1007, 2992, 2028, 1012, 1996, 2773, 2061, 13340, 2109, 2000, 6523, 2000, 1996, 2406, 2003, 2034, 2109, 1999, 2214, 21554, 3217, 14479, 6553, 6981, 1012, 1996, 2744, 2150, 2759, 1999, 1996, 2983, 1997, 2061, 13340, 3690, 1012, 1996, 2061, 10762, 2015, 3209, 2941, 6523, 2000, 2037, 2406, 2004, 1062, 10448, 3654, 1012, 1996, 3114, 1996, 11379, 2003, 2367, 12402, 2013, 1996, 2367, 11379, 2077, 4347, 1010, 2043, 19330, 24316, 2378, 2253, 2104, 1037, 2502, 2047, 11379, 2832, 1012, 2060, 3032, 2145, 2109, 2061, 13340, 2004, 2171, 1998, 2061, 1996, 2171, 2061, 13340, 4370, 1999, 1996, 2394, 2653, 1012, 2061, 13340, 2003, 2036, 2170, 19330, 10258, 5685, 2030, 19330, 18940, 3122, 2823, 1010, 2021, 2023, 2003, 2025, 2691, 1999, 2394, 1012, 2061, 13340, 1006, 2302, 1996, 16222, 10421, 9669, 1007, 2003, 2036, 1037, 2691, 2394, 2171, 2005, 2061, 13340, 1012, 19330, 16294, 2401, 1998, 19330, 22749, 2020, 2119, 2691, 3415, 2005, 2061, 13340, 1999, 1996, 5781, 5535, 1010, 1998, 1999, 1996, 2220, 8028, 19330, 10258, 5685, 1013, 19330, 18940, 3122, 2001, 2411, 2109, 1012, 1996, 5698, 6038, 7570, 10270, 5162, 2003, 2145, 2823, 2109, 1010, 2021, 2085, 2009, 2038, 2411, 1996, 3574, 1997, 5636, 2389, 2061, 10762, 2015, 1010, 2061, 10762, 2015, 2013, 2105, 1996, 2088, 1010, 2025, 9068, 1010, 1000, 2061, 10762, 2015, 2011, 2668, 1000, 1012, 1996, 3128, 2653, 1997, 2061, 13340, 2003, 2170, 19330, 24316, 2378, 1999, 2394, 1010, 2021, 2023, 2003, 2153, 1037, 3335, 11880, 2989, 1012, 2023, 12402, 2013, 1996, 2095, 25702, 1010, 2043, 5553, 23759, 17112, 7828, 1010, 1037, 3803, 10566, 1010, 2626, 2055, 1996, 2653, 1012, 2002, 5421, 1996, 2653, 2171, 2004, 1000, 19330, 24316, 7076, 1000, 1010, 2763, 2138, 2002, 28616, 26362, 1996, 2171, 1012, 2023, 2153, 5881, 2000, 2035, 2785, 1997, 2536, 4155, 1010, 2066, 2394, 1012, 1996, 3128, 2171, 2005, 1996, 2653, 2003, 7570, 10270, 2378, 1012, 1996, 1011, 1999, 16809, 2038, 1996, 19261, 3574, 1997, 1000, 2108, 3141, 1013, 20246, 2000, 1000, 1010, 2096, 1996, 7872, 7570, 10270, 10279, 2067, 2000, 1996, 15053, 1011, 19330, 24316, 2378, 2773, 2005, 1000, 2057, 1000, 1006, 18678, 1007, 1012, 2947, 1010, 7570, 10270, 2378, 2038, 1996, 1006, 19261, 1007, 3574, 1997, 2009, 2029, 2003, 3141, 1013, 20246, 2000, 2149, 1012, 2061, 13340, 2038, 2069, 2042, 9613, 2144, 1996, 2095, 1066, 6694, 4647, 1012, 2069, 2059, 10471, 1998, 2060, 2529, 3739, 2064, 2022, 2179, 2006, 1996, 2479, 1012, 1996, 2177, 1997, 2111, 2008, 3876, 1999, 2061, 13340, 2024, 2170, 1996, 2061, 10762, 2015, 1012, 2023, 5636, 2177, 2003, 2200, 5875, 1012, 5784, 2655, 2023, 5636, 2177, 2077, 2027, 3876, 1999, 2061, 13340, 1996, 15053, 2061, 10762, 2015, 1010, 1998, 2027, 2973, 1999, 2054, 2003, 2085, 9388, 10085, 3597, 1998, 2530, 19604, 1006, 11621, 3700, 1007, 1012, 2045, 2064, 2036, 2022, 5287, 1997, 1037, 15053, 2061, 10762, 3226, 1010, 2004, 5430, 2396, 1998, 10801, 4415, 5769, 4481, 2008, 14396, 2000, 2061, 10762, 3226, 1998, 2396, 1010, 12167, 3383, 1999, 15053, 2433, 1012, 28440, 4785, 1998, 5508, 1997, 2047, 7243, 2081, 1996, 15053, 2061, 10762, 2015, 2681, 2037, 5014, 1998, 2892, 1996, 11195, 1997, 12272, 2105, 20143, 2000, 11910, 4647, 1012, 1996, 2061, 10762, 2015, 3369, 1999, 21307, 11610, 1010, 2073, 2027, 4370, 2005, 4971, 19825, 1010, 2021, 2105, 1996, 2095, 6694, 4647, 2027, 2081, 1996, 6019, 2000, 2061, 13340, 1012, 2339, 3599, 2027, 2106, 2008, 2097, 3961, 1037, 12525, 2100, 1010, 2021, 1996, 10661, 2758, 2008, 1996, 2061, 10762, 2015, 2020, 2628, 2011, 1996, 7632, 18903, 23543, 2040, 2020, 2019, 4763, 5917, 1010, 5105, 2011, 15765, 2906, 1006, 1062, 8524, 3089, 1999, 2715, 19330, 24316, 2378, 1007, 1010, 2040, 2359, 2000, 3102, 1996, 2061, 10762, 2015, 1012, 1996, 2061, 10762, 2015, 2081, 1996, 6019, 2013, 2054, 2003, 2085, 19017, 1010, 1996, 2181, 2020, 1996, 2061, 10762, 2015, 2018, 2763, 4370, 1996, 2087, 2076, 2037, 2051, 1999, 21307, 11610, 1012, 2045, 2003, 2025, 2172, 2124, 2055, 1996, 2061, 10762, 2015, 2077, 1996, 10900, 2234, 1999, 7287, 4647, 1012, 2057, 2079, 2113, 2174, 1010, 2008, 2027, 2018, 1037, 6338, 2291, 1010, 1998, 2020, 2200, 8807, 1012, 2130, 2295, 2715, 5784, 3193, 1996, 2061, 10762, 2015, 2004, 2028, 18240, 1010, 1996, 2061, 10762, 2015, 2020, 4055, 1999, 2012, 19738, 3367, 2093, 6946, 1006, 2488, 2464, 2004, 6338, 4657, 2015, 1007, 1024, 1996, 21442, 4305, 6767, 12871, 3619, 1010, 1996, 10710, 7066, 1998, 1996, 17377, 1006, 2036, 11479, 17377, 4305, 2072, 2823, 1010, 2030, 17377, 11692, 2015, 1007, 1012, 1996, 21442, 4305, 6767, 12871, 3619, 2018, 1996, 2148, 1010, 1996, 10710, 7066, 1996, 2167, 1998, 2803, 1010, 1998, 1996, 17377, 1996, 2264, 1012, 2122, 2093, 6946, 2020, 2582, 4055, 1999, 16411, 1010, 2030, 4315, 19722, 7630, 1012, 1996, 6338, 4177, 2700, 1037, 2047, 3003, 1997, 1996, 5917, 1010, 2169, 2051, 1996, 3025, 3003, 2351, 2030, 5295, 1012, 2009, 2596, 1996, 10710, 7066, 1998, 21442, 4305, 6767, 12871, 3619, 2020, 2028, 5917, 1010, 2021, 3975, 2125, 1012, 2169, 6338, 2018, 26102, 9255, 1010, 4310, 13954, 2015, 1012, 6338, 2273, 2052, 11660, 3209, 1010, 1998, 2020, 10741, 2000, 4047, 2037, 6338, 2352, 1010, 2030, 2455, 1012, 1996, 13176, 3855, 2008, 2045, 2001, 2019, 2479, 3458, 1996, 1000, 3341, 1000, 1010, 2029, 2001, 2411, 22594, 1997, 21307, 11610, 1010, 2170, 1047, 27923, 2891, 5302, 2226, 1006, 3417, 2386, 27058, 2226, 1997, 1155, 29726, 29732, 29730, 16177, 1164, 29730, 29733, 29728, 26789, 1010, 2030, 6034, 1997, 1996, 2088, 1007, 1012, 2429, 2000, 3306, 17218, 1010, 2028, 2071, 2069, 2175, 2000, 2061, 13340, 2007, 3909, 13600, 1010, 2040, 2071, 3233, 1996, 6034, 4633, 1998, 7372, 1997, 1996, 1000, 3341, 1000, 1012, 2358, 2527, 5092, 2106, 2025, 1999, 15472, 12672, 2061, 13340, 1999, 2010, 2147, 1997, 20248, 14413, 7556, 1010, 2763, 2138, 2002, 2245, 2061, 13340, 2001, 3432, 1037, 10661, 1012, 2045, 2003, 2019, 7552, 5981, 3251, 2030, 2025, 1047, 27923, 2891, 5302, 2226, 2003, 2941, 2061, 13340, 1010, 1998, 2025, 2074, 1037, 10661, 1998, 2008, 1996, 2214, 13176, 3432, 2106, 2025, 2113, 2055, 1996, 2613, 4598, 1997, 2061, 13340, 1012, 1996, 17218, 1998, 12312, 2015, 1997, 1996, 2061, 10762, 2015, 2020, 2069, 2517, 2091, 1999, 1996, 21442, 4305, 6767, 12871, 2078, 3690, 1998, 1999, 1996, 5781, 5535, 1010, 1998, 2348, 2027, 2024, 19336, 1999, 3267, 1010, 5784, 3046, 2000, 4469, 18155, 3686, 3439, 6123, 2013, 1996, 17218, 1012, 2005, 2742, 1010, 1999, 1996, 4958, 2891, 1997, 16216, 3654, 10581, 6657, 1010, 2029, 7009, 2055, 1037, 5394, 2315, 16216, 3654, 10581, 3217, 2595, 1012, 2429, 2000, 1996, 10661, 1010, 1037, 4121, 7186, 3047, 1010, 2029, 4567, 2098, 2116, 2111, 1010, 1998, 16216, 3654, 10581, 3217, 2595, 8315, 25416, 12069, 2595, 1010, 2643, 1997, 1996, 11915, 1010, 2040, 2429, 2000, 1996, 10661, 2001, 22382, 6924, 2011, 15765, 2906, 1012, 16216, 3654, 10581, 3217, 2595, 3249, 2032, 1998, 2730, 2032, 1010, 1998, 2059, 16216, 3654, 10581, 3217, 2595, 2165, 1996, 3105, 1997, 4363, 1996, 11915, 6706, 1012, 5784, 2031, 2179, 3350, 1997, 1037, 7186, 1010, 2005, 2742, 12920, 1997, 1037, 5016, 7186, 1998, 23300, 6386, 1999, 2659, 2752, 2073, 2009, 2003, 16655, 2595, 24759, 27971, 3468, 1006, 2612, 1997, 2383, 1037, 7186, 1007, 2129, 2027, 2052, 2022, 23300, 4659, 2460, 2051, 3283, 1012, 2034, 3967, 2007, 1996, 10900, 1999, 7287, 4647, 1010, 2019, 5590, 2419, 2011, 1996, 4138, 3142, 18196, 8740, 7393, 2310, 13102, 4173, 3603, 2061, 13340, 1012, 2310, 13102, 4173, 2001, 2019, 6383, 3142, 18196, 2040, 2001, 2200, 4699, 1999, 1996, 2088, 1012, 2002, 3825, 5784, 2000, 2424, 1996, 12177, 1997, 1996, 2088, 1010, 2191, 7341, 1997, 2642, 3088, 1010, 2690, 2264, 1998, 2642, 2885, 1010, 1998, 4339, 2055, 2035, 7957, 1997, 8578, 1012, 2070, 2360, 1037, 4040, 5225, 1996, 5590, 2000, 2061, 13340, 2043, 8932, 2083, 1996, 2061, 10762, 2712, 1006, 1996, 2712, 2090, 2061, 13340, 1998, 3577, 1007, 1012, 1996, 5590, 2234, 2006, 1996, 2455, 2054, 2052, 2085, 2022, 16475, 11795, 2050, 1006, 2148, 2789, 2061, 13340, 1007, 1012, 1996, 2517, 2466, 2001, 2517, 2011, 2619, 2315, 8879, 1010, 2348, 7862, 3227, 2079, 2025, 3193, 2023, 2711, 2004, 3495, 2590, 1998, 2008, 2023, 2711, 2763, 2001, 2019, 2779, 3142, 2008, 2071, 4339, 1998, 3568, 2001, 2109, 2005, 1996, 5590, 1012, 8879, 2626, 2008, 2061, 13340, 2596, 2004, 1037, 1000, 2665, 2307, 3224, 12677, 2075, 2039, 2894, 1999, 1996, 10459, 2712, 1012, 1000, 1996, 5590, 2001, 2176, 3719, 1010, 2169, 2383, 5350, 1998, 2273, 1012, 1037, 2261, 3548, 2007, 2068, 2000, 4047, 2013, 2151, 16655, 2595, 5051, 23576, 2886, 1012, 1996, 2034, 3260, 2001, 2000, 6148, 3967, 1010, 2004, 8879, 7009, 1012, 1996, 10900, 2855, 3113, 2098, 1996, 21442, 4305, 6767, 12871, 3619, 1010, 2040, 2018, 1010, 2429, 2000, 8879, 1010, 26102, 4567, 9255, 2006, 2037, 5127, 12371, 1012, 1996, 21442, 4305, 6767, 12871, 3619, 2435, 1996, 2273, 2833, 1010, 1998, 3039, 2068, 2000, 2079, 2037, 3105, 1010, 8419, 2437, 1037, 4949, 1997, 1996, 2479, 1998, 7851, 1996, 3226, 1012, 2174, 1010, 2642, 2061, 13340, 2071, 2025, 2022, 4716, 1010, 2004, 2008, 2347, 1005, 1056, 2104, 1996, 2491, 1997, 1996, 21442, 4305, 6767, 12871, 3619, 1012, 8879, 2036, 2626, 2055, 1996, 2653, 1010, 2029, 2002, 2649, 2004, 1000, 1037, 6881, 4326, 2653, 4406, 12138, 4155, 2066, 3306, 1998, 3763, 1010, 1998, 2062, 2066, 1996, 21988, 4155, 2021, 2664, 1999, 1037, 4326, 2126, 2172, 2367, 1012, 1000, 2138, 1997, 2023, 6019, 7862, 1999, 1996, 3708, 2301, 2245, 19330, 24316, 2378, 2071, 2022, 3141, 2000, 5122, 2080, 6696, 4155, 1010, 2021, 2715, 7862, 21090, 2007, 2023, 1010, 2348, 2027, 5993, 2008, 2216, 4155, 2031, 5105, 19330, 24316, 2378, 1012, 2006, 1037, 2217, 22074, 2295, 1010, 2045, 2003, 1037, 3399, 2008, 3802, 7946, 9336, 1998, 19330, 24316, 2378, 2024, 3141, 2000, 2169, 2060, 1012, 2070, 2616, 1999, 3763, 2008, 2031, 3802, 7946, 9336, 4281, 1010, 2024, 2036, 2179, 1999, 19330, 24316, 2378, 1012, 2070, 7862, 7475, 2008, 2122, 2616, 1999, 19330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2255, 2861, 1010, 2262, 2198, 2067, 2006, 1996, 1000, 2250, 16535, 2015, 1000, 2400, 1011, 3045, 2120, 2406, 2189, 11995, 2198, 17490, 3436, 2003, 2067, 2006, 1000, 2250, 1000, 1516, 12167, 3081, 1996, 4274, 1012, 2076, 2010, 2116, 2086, 2006, 2557, 2004, 1996, 3677, 1997, 5925, 2557, 1005, 1055, 1000, 5095, 2305, 2406, 1000, 2198, 1006, 15885, 2182, 2007, 3389, 22762, 26685, 1007, 2580, 1998, 8760, 1996, 2565, 2008, 2150, 1010, 1998, 2003, 2145, 2085, 1010, 2104, 1996, 9936, 1997, 27357, 24471, 28940, 10686, 1010, 2641, 2028, 1997, 1996, 3842, 1005, 1055, 2087, 2590, 11730, 2005, 2406, 2189, 1012, 2198, 1005, 1055, 2047, 2005, 4710, 2046, 1000, 5062, 1000, 2003, 2007, 2010, 4274, 2557, 2276, 1000, 2827, 2406, 1000, 1998, 1037, 2047, 4289, 2008, 2838, 2069, 2827, 2406, 2189, 1012, 1996, 2276, 3632, 2000, 1000, 2250, 1000, 3081, 1996, 4800, 4274, 2557, 2609, 2444, 21619, 2629, 1012, 4012, 2484, 2847, 1037, 2154, 2698, 2420, 1037, 2733, 1012, 1000, 2478, 2444, 21619, 2629, 4473, 1996, 19373, 4071, 2000, 4952, 2012, 2188, 1010, 2030, 2006, 1996, 2693, 2478, 1037, 2898, 2846, 1997, 18726, 2006, 3749, 2000, 4848, 2037, 3791, 1999, 2152, 1011, 3737, 5746, 1010, 1000, 2198, 2056, 1012, 1000, 2017, 2097, 2963, 4840, 2047, 3430, 1010, 7887, 7172, 1010, 2004, 2092, 2004, 2070, 1997, 1996, 2190, 1997, 1996, 2627, 2871, 2086, 1012, 1012, 1012, 2189, 2008, 11138, 2660, 2651, 1010, 1999, 2049, 3441, 1997, 1996, 2455, 1010, 2296, 2154, 2166, 1998, 1997, 2607, 2293, 2179, 1998, 2293, 2439, 999, 2045, 2024, 4392, 2378, 1005, 2774, 1010, 12203, 6371, 1005, 2774, 1998, 21910, 2378, 1005, 2774, 1012, 2774, 2055, 2111, 1010, 2173, 1998, 2051, 1998, 1997, 2607, 2023, 2455, 1010, 2660, 1012, 1000, 4773, 13767, 1516, 7479, 1012, 17151, 3597, 16671, 2854, 1012, 4012, 1012, 8740, 1012, 2655, 2005, 17214, 5172, 2782, 2565, 26213, 8544, 1997, 1996, 2880, 5009, 2000, 1996, 17214, 5172, 2406, 2189, 2782, 2031, 3843, 1037, 2655, 2000, 21751, 2015, 1010, 26512, 1998, 6891, 5608, 1998, 9224, 2000, 4607, 2489, 15453, 26213, 2006, 1011, 2240, 2005, 1996, 2286, 2880, 2565, 1012, 1996, 5009, 1010, 2550, 1998, 2405, 2011, 3007, 2739, 1010, 2003, 7843, 2004, 2028, 1997, 1996, 2088, 1005, 1055, 5221, 2782, 5523, 1012, 2009, 2003, 1996, 3078, 3120, 1998, 2087, 7721, 5009, 2000, 1996, 2782, 3794, 1996, 2880, 3679, 2565, 1998, 2036, 2950, 2824, 1998, 3450, 1999, 1996, 2782, 18144, 2698, 2420, 3188, 2000, 1996, 2364, 2724, 1012, 17214, 5172, 2406, 2189, 2782, 20929, 2005, 2286, 2064, 2022, 3133, 2012, 7479, 1012, 17214, 5172, 3597, 16671, 2854, 27275, 1012, 4012, 1012, 8740, 1013, 2880, 28582, 2073, 1000, 2017, 2097, 2031, 1996, 4495, 2000, 10651, 1998, 2202, 2491, 1997, 2115, 10328, 2592, 1010, 1000, 2429, 2000, 1037, 14056, 2005, 1996, 8544, 1012, 1000, 2836, 1998, 3063, 4751, 2405, 1999, 1996, 5009, 1998, 1996, 3063, 14176, 2097, 2085, 2022, 2104, 2115, 2561, 2491, 2004, 2019, 3784, 5310, 1012, 1998, 2009, 2097, 2022, 2004, 3733, 2004, 1015, 1010, 1016, 1010, 1017, 1529, 1006, 1015, 1007, 2175, 2000, 1996, 4037, 1010, 1006, 1016, 1007, 8833, 1999, 1006, 2030, 4236, 2065, 2017, 2024, 2025, 2525, 1037, 2266, 2059, 8833, 1999, 1007, 1998, 1006, 1017, 1007, 11562, 2006, 1005, 17214, 5172, 2406, 2189, 2782, 20929, 1005, 1998, 3582, 1996, 25732, 2015, 1012, 1000, 1996, 2286, 2880, 5009, 2052, 2022, 1037, 21519, 3277, 2007, 24398, 5530, 1010, 1996, 14056, 2056, 1012, 1000, 1996, 2087, 2759, 3444, 1997, 1996, 2880, 5009, 2003, 1996, 7262, 1037, 2000, 1062, 3063, 14176, 2029, 2003, 1037, 8813, 2094, 5950, 2005, 4599, 2000, 3582, 2037, 5440, 3324, 1005, 6759, 2076, 1996, 2782, 1012, 2009, 2950, 2073, 1996, 3324, 2024, 6037, 1010, 2335, 1998, 5246, 2004, 2092, 2004, 3365, 3063, 7760, 1998, 22056, 1012, 1000, 6891, 2592, 1010, 2164, 6891, 4949, 1010, 1996, 17214, 5172, 2237, 4949, 1010, 3902, 5847, 1998, 23839, 1010, 2406, 2189, 2685, 1997, 3037, 1998, 14044, 10367, 5009, 2592, 2000, 2406, 2189, 3007, 1998, 1996, 2212, 2024, 2035, 2443, 1012, 1000, 1999, 12964, 1996, 24233, 2782, 2095, 1010, 1996, 2880, 5009, 2097, 3444, 3439, 8866, 1998, 2503, 3441, 2055, 1996, 3192, 2824, 2164, 1996, 3585, 2858, 2982, 1010, 11742, 2732, 9338, 5848, 3945, 1010, 2398, 1997, 4476, 1010, 4897, 1997, 17738, 7962, 1010, 3007, 2406, 2189, 2523, 2120, 5848, 8795, 1004, 9389, 12821, 4402, 1010, 1996, 6187, 10175, 21869, 4606, 2047, 2189, 4031, 7085, 1010, 3063, 3729, 18989, 1010, 1998, 2062, 3145, 2824, 1998, 2047, 12369, 3993, 3441, 2046, 1996, 3297, 2782, 1012, 1000, 9857, 1010, 2255, 2382, 1010, 2262, 1996, 14212, 3428, 2012, 17214, 5172, 2286, 1996, 14212, 3428, 2031, 2623, 2008, 1996, 2034, 2265, 2044, 1996, 2713, 1997, 2037, 2834, 2201, 1010, 2009, 1005, 1055, 2006, 1010, 2097, 2022, 1999, 17214, 5172, 2076, 1996, 2286, 2254, 2406, 2189, 2782, 1012, 1996, 2316, 2097, 2713, 2037, 2201, 1996, 3025, 5958, 1006, 2254, 2324, 1007, 2044, 2108, 2772, 2000, 5925, 1013, 5415, 1012, 1996, 2034, 2309, 2013, 1996, 2201, 1010, 1996, 2516, 2650, 1010, 2097, 2022, 2207, 2000, 2557, 1999, 2281, 1012, 2206, 2037, 6429, 2448, 2006, 1996, 9582, 13762, 1021, 2897, 3539, 2051, 2265, 1000, 2660, 1005, 1055, 2288, 5848, 1000, 2673, 2038, 2904, 2005, 1996, 14005, 2241, 8530, 1997, 2485, 14711, 1012, 1996, 2316, 2038, 2042, 4488, 2105, 1996, 16735, 1999, 12343, 2005, 2086, 1010, 7079, 2037, 2349, 2015, 1998, 4821, 3352, 7843, 9582, 2005, 2037, 1000, 3751, 1000, 2444, 4616, 1998, 2434, 2774, 1010, 4283, 2000, 1996, 2547, 2265, 1012, 2044, 17214, 5172, 1010, 1996, 2316, 2097, 3604, 2007, 3389, 22762, 26685, 2006, 2010, 2120, 2778, 2802, 2286, 2004, 2010, 2569, 6368, 1998, 2097, 2330, 2035, 2010, 3065, 1012, 3389, 2001, 2061, 7622, 2007, 1996, 2316, 1005, 1055, 2504, 1997, 5389, 5605, 2002, 2038, 2036, 8733, 2068, 2000, 2377, 1999, 2010, 2316, 2005, 1996, 2778, 1012, 1996, 14212, 3428, 2031, 2036, 2772, 2000, 3889, 2317, 2968, 2040, 2036, 6133, 3389, 1998, 1996, 23680, 2135, 9629, 2015, 1012, 2348, 1996, 2201, 2180, 1005, 1056, 2022, 2207, 2127, 2254, 1010, 1996, 2316, 2038, 2081, 2009, 2800, 2005, 3653, 1011, 4449, 2006, 2037, 4037, 1012, 1000, 3071, 2040, 3653, 1011, 4449, 1996, 2201, 2097, 2131, 2037, 2772, 6100, 5359, 2000, 2037, 4769, 2011, 2660, 2695, 2006, 1996, 2154, 1997, 2713, 1999, 2254, 1010, 1000, 2056, 1037, 14056, 1012, 1000, 1999, 2804, 1010, 1037, 2489, 6100, 1997, 1996, 2177, 1005, 1055, 2034, 4958, 2097, 2022, 2443, 1999, 1996, 5308, 1012, 1996, 14212, 3428, 17214, 5172, 4164, 2097, 2036, 3444, 2093, 2060, 4803, 3340, 1997, 2827, 2406, 2189, 1010, 4205, 14925, 11451, 3051, 1010, 5253, 6473, 1998, 23030, 19734, 2121, 1012, 4773, 13767, 1516, 7479, 1012, 1996, 12155, 10270, 15878, 21709, 22328, 1012, 4012, 1012, 3673, 10651, 1516, 20996, 2080, 3138, 2058, 1996, 2327, 3962, 20996, 2080, 8115, 2271, 2038, 2579, 2058, 1996, 2327, 3962, 2006, 1996, 2120, 2406, 3162, 2327, 2382, 3895, 3673, 2023, 2733, 2007, 2010, 2718, 2023, 2182, 11762, 1012, 9396, 2508, 1005, 2193, 2028, 2013, 1996, 2197, 2093, 3134, 1516, 10096, 23743, 1005, 1055, 2858, 1516, 9010, 2000, 2193, 2048, 1010, 10556, 7952, 8477, 1004, 8683, 16955, 1005, 1055, 4205, 1004, 6574, 7926, 2039, 2028, 2000, 2193, 2093, 1010, 2004, 2515, 21772, 5954, 2000, 2193, 2176, 2007, 2905, 9021, 1006, 1997, 3110, 2204, 1012, 1996, 3960, 24498, 2480, 2024, 2036, 2039, 2028, 2000, 2274, 2007, 7650, 1996, 6045, 1010, 2004, 2024, 5355, 1051, 1005, 16994, 1004, 22939, 9516, 2522, 29566, 5521, 2012, 2416, 2007, 2047, 2563, 3712, 2096, 9553, 16220, 2906, 1011, 8512, 2100, 1005, 1055, 2188, 14523, 2048, 2000, 2193, 2698, 1012, 9295, 26074, 2213, 1005, 1055, 4756, 2009, 2125, 2003, 6706, 2012, 2809, 1010, 22432, 9863, 2121, 20441, 2834, 1999, 1996, 2327, 2184, 2012, 3157, 2007, 2188, 1998, 4205, 4435, 1005, 1055, 2045, 2097, 2022, 2293, 2003, 2012, 2184, 1012, 7960, 9567, 2005, 1996, 2733, 2421, 10905, 7770, 2015, 4542, 1005, 1055, 24955, 2182, 1006, 2570, 2000, 2539, 1007, 1010, 1996, 23680, 2135, 9629, 1005, 1055, 2048, 8484, 8902, 24198, 1006, 2423, 2000, 2538, 1007, 1010, 22962, 2100, 2346, 1005, 1055, 3308, 1006, 2654, 2000, 2423, 1007, 1998, 5355, 24177, 1005, 1055, 3298, 1006, 2756, 2000, 2656, 1007, 1012, 2047, 10445, 2000, 1996, 3673, 2023, 2733, 2421, 21840, 6720, 2015, 1005, 1996, 2293, 1045, 2681, 2369, 1006, 1999, 2012, 2756, 1007, 1012, 1996, 2440, 3673, 2064, 2022, 7021, 2012, 1516, 7479, 1012, 2406, 27275, 12173, 3695, 1012, 4012, 1012, 8740, 1012, 5958, 1010, 2255, 2656, 1010, 2262, 2062, 2782, 4023, 2023, 5353, 2062, 2307, 2406, 2189, 2782, 4023, 6433, 2023, 5353, 2013, 14163, 2140, 23877, 2006, 1996, 11524, 1013, 6652, 3675, 2000, 2079, 18752, 3995, 1998, 20441, 7952, 1999, 2642, 11524, 1998, 1996, 5322, 3410, 1997, 3966, 1999, 7717, 1998, 1996, 13109, 11236, 17301, 5154, 2782, 1999, 2148, 2660, 1012, 2252, 14163, 2140, 23877, 7534, 2049, 3296, 2406, 2189, 12656, 2651, 1010, 4826, 1998, 4465, 2007, 3340, 2164, 6174, 20081, 1010, 6609, 8076, 2015, 1010, 12110, 7055, 1010, 25039, 13097, 26654, 1010, 6609, 5146, 1010, 21146, 4143, 11797, 1010, 4422, 2292, 2669, 1006, 15885, 1007, 1998, 5846, 8473, 4590, 1012, 1996, 6252, 3296, 2079, 18752, 3995, 5154, 1004, 21286, 2782, 2036, 3216, 2651, 1010, 4826, 1998, 4465, 1010, 2007, 2956, 3324, 2164, 3960, 24119, 1006, 15885, 1007, 1004, 1996, 20996, 2080, 5568, 2316, 1010, 4911, 7530, 18685, 1010, 4802, 2848, 19382, 1010, 21900, 8424, 1010, 5811, 4172, 18617, 1010, 4138, 2080, 1004, 1996, 26008, 2015, 3794, 2703, 15854, 14839, 1010, 5965, 3044, 1004, 9056, 2413, 3286, 1998, 1996, 2317, 14399, 3137, 22862, 1012, 1012, 1012, 1998, 2116, 2062, 1012, 1037, 3145, 3444, 1997, 1996, 2079, 18752, 3995, 2724, 2038, 2467, 2042, 1996, 9656, 4146, 2011, 2070, 1997, 1996, 2327, 3324, 1999, 2037, 2492, 1010, 2040, 3413, 2006, 2037, 3716, 1010, 4813, 1010, 3325, 1998, 4348, 2000, 1037, 2047, 4245, 1997, 5154, 20305, 1012, 2023, 1010, 29253, 2015, 1998, 27478, 2013, 1996, 2047, 8484, 1010, 1996, 2317, 14399, 3137, 22862, 1010, 5811, 4172, 18617, 1998, 2062, 2400, 4791, 1999, 2037, 2492, 2097, 2556, 1037, 7578, 2846, 1997, 9656, 2000, 5454, 2013, 1999, 2804, 2000, 1996, 2759, 2782, 6596, 8395, 2000, 2022, 4146, 2023, 2095, 2011, 5965, 3044, 1004, 9056, 2413, 3286, 1012, 4773, 13767, 1516, 2079, 18752, 3995, 29284, 16558, 5657, 19673, 1012, 4012, 1012, 8740, 1012, 1996, 13109, 11236, 17301, 5154, 2782, 2003, 2178, 2724, 2008, 3216, 2013, 2651, 2127, 4465, 1012, 1012, 1012, 1998, 2838, 17653, 2552, 4388, 22132, 2571, 1006, 15885, 1007, 1998, 3324, 2164, 1996, 7364, 4104, 15888, 2252, 1010, 12411, 2953, 15196, 1010, 2406, 4671, 1010, 13675, 11514, 10814, 3636, 1010, 1996, 2175, 2275, 1010, 27333, 15141, 1005, 1055, 2751, 1010, 2214, 2148, 21286, 1010, 4202, 1052, 7959, 13355, 2121, 1006, 1996, 16698, 2611, 1007, 1010, 6266, 15642, 2121, 1010, 1996, 26261, 25656, 2155, 1010, 17710, 6894, 4202, 1998, 9877, 2062, 1012, 2004, 2092, 2004, 1000, 1996, 5156, 1000, 3528, 1997, 4845, 1005, 1055, 4024, 1998, 3450, 1010, 13109, 11236, 17301, 2038, 2062, 6695, 2023, 2095, 2005, 2402, 2111, 2000, 4685, 1010, 2164, 1996, 2402, 5848, 4164, 1998, 1996, 1000, 4840, 5154, 1000, 1006, 2324, 1011, 2423, 2095, 2214, 1007, 2824, 3794, 6759, 1998, 9656, 2007, 8152, 2287, 2177, 5389, 1012, 1996, 11754, 12727, 2406, 2189, 5758, 2733, 14730, 2023, 5353, 2007, 1996, 11754, 12727, 5758, 2299, 5049, 3892, 1010, 4113, 3324, 1998, 8874, 1997, 4791, 1999, 1996, 2262, 5980, 3044, 11754, 12727, 2451, 14711, 5605, 1004, 3360, 2982, 4826, 2305, 1010, 5747, 9736, 6350, 1998, 4113, 3063, 8036, 4616, 2006, 4465, 1012, 5322, 29008, 3216, 4826, 1998, 4465, 2013, 1023, 3286, 2012, 1996, 16135, 4948, 1011, 4400, 3363, 2578, 2252, 1010, 2073, 1000, 1996, 2190, 1997, 5322, 1005, 1055, 2039, 1998, 2746, 2406, 2189, 3324, 2097, 5566, 2005, 1996, 3382, 2000, 2663, 3405, 2051, 1010, 5356, 1010, 11580, 1010, 1998, 1037, 6566, 2000, 1996, 2827, 2914, 1997, 2406, 2189, 1012, 29008, 2003, 7843, 2004, 2028, 1997, 1996, 2877, 5848, 8795, 2186, 1999, 1996, 3842, 2073, 1996, 4791, 2013, 2266, 4184, 2272, 2362, 2000, 2424, 1010, 2092, 1010, 1000, 1996, 3410, 1997, 5322, 1005, 1055, 3966, 1000, 1012, 9432, 1010, 2255, 2423, 1010, 2262, 1037, 2732, 2005, 9553, 9553, 16220, 2906, 1011, 8512, 2100, 2097, 2022, 15546, 2023, 4465, 2005, 2010, 2268, 2405, 2299, 1997, 1996, 2095, 2663, 2007, 2502, 2502, 2293, 1999, 5322, 1005, 1055, 1053, 2189, 2982, 1012, 9553, 2097, 2031, 1037, 2732, 4201, 1999, 2010, 6225, 1999, 1996, 9192, 2395, 6670, 1000, 3328, 1997, 4476, 1000, 2004, 1037, 4568, 5038, 1997, 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, 2011, 4907, 10424, 17650, 4939, 2569, 2000, 2899, 19894, 1012, 4012, 9432, 1010, 2233, 1022, 1010, 2289, 1025, 1015, 1024, 2322, 7610, 2028, 1997, 1996, 11113, 28173, 3070, 15572, 1997, 1996, 8040, 17206, 2121, 19533, 2553, 2038, 2042, 2339, 2010, 3639, 2061, 12099, 2904, 9887, 1999, 3054, 1011, 3979, 1012, 1996, 2280, 3580, 4883, 2708, 1997, 3095, 2001, 2179, 5905, 2006, 6928, 1997, 27208, 1997, 3425, 1998, 2566, 9103, 2854, 1999, 1037, 2553, 3141, 2000, 1996, 26256, 1997, 1037, 9915, 12160, 1005, 1055, 4767, 2000, 5860, 5596, 4183, 2014, 3129, 1010, 2019, 3447, 6232, 1012, 1999, 3653, 18886, 2389, 4994, 1010, 19533, 1005, 1055, 3639, 2136, 2018, 5393, 2008, 2027, 2052, 2655, 3580, 2343, 23745, 2004, 1037, 7409, 1998, 2008, 19533, 2370, 2052, 2202, 1996, 3233, 2004, 2092, 1012, 10896, 2013, 2593, 1997, 2068, 1010, 2021, 1999, 3327, 2013, 23745, 1010, 2071, 2200, 2092, 2031, 2441, 2039, 2019, 8216, 2064, 1997, 16253, 2005, 1996, 2317, 2160, 1012, 1998, 1996, 21177, 2894, 1011, 1011, 2008, 1997, 1037, 3580, 2343, 2108, 2892, 1011, 8920, 1999, 1037, 4735, 2553, 1011, 1011, 2001, 2242, 1996, 3447, 2359, 26092, 2135, 2000, 4468, 1012, 2059, 1010, 1999, 2010, 3098, 4861, 1010, 19533, 3639, 5160, 10117, 1058, 1012, 7051, 3781, 1012, 7135, 3492, 2172, 7955, 2011, 10015, 18414, 29165, 2015, 2008, 2002, 2052, 2265, 2068, 3350, 2008, 2010, 7396, 2371, 8040, 24065, 3995, 4383, 1999, 5684, 1997, 2317, 2160, 3585, 2879, 6382, 20996, 3726, 1012, 2035, 1997, 1037, 5573, 1010, 2009, 2596, 19533, 2018, 4161, 2162, 2114, 1996, 2317, 2160, 1012, 2009, 2246, 1010, 2012, 2008, 2391, 1010, 2066, 2002, 2018, 6908, 2151, 2801, 1997, 2893, 1037, 4883, 14933, 2000, 1996, 3612, 1012, 1006, 2156, 2026, 5553, 1012, 2484, 5930, 1010, 1037, 11320, 14615, 2298, 2369, 1996, 11002, 1012, 1007, 2021, 2059, 2006, 13114, 1012, 2410, 1010, 2044, 4510, 2048, 2420, 1997, 3639, 10896, 1010, 19533, 1005, 1055, 2136, 9225, 2623, 2008, 4445, 23745, 4496, 19533, 2052, 2202, 1996, 3233, 1012, 1006, 2156, 2026, 13114, 1012, 2403, 5930, 1010, 1996, 19533, 1011, 23745, 26352, 5017, 1012, 1007, 2054, 3047, 1999, 2090, 1029, 2339, 2106, 2136, 19533, 3402, 5630, 2025, 2000, 2655, 2107, 6827, 9390, 1029, 2339, 2052, 7051, 2404, 5743, 2107, 1037, 6918, 7984, 1011, 1011, 19533, 2004, 8040, 24065, 3995, 4017, 1011, 1011, 2302, 5378, 2028, 2773, 1997, 10896, 2000, 2067, 2009, 2039, 1029, 1998, 2054, 2419, 2070, 1997, 1996, 10418, 3639, 9559, 1999, 1996, 2406, 2000, 2717, 2061, 2855, 1010, 2383, 2187, 1996, 11537, 1005, 1055, 2777, 2594, 16203, 2553, 27737, 2135, 4895, 2890, 11263, 3064, 1029, 1037, 2825, 9374, 3310, 2651, 1999, 1996, 6400, 20423, 1997, 2848, 6243, 1005, 1055, 1998, 8594, 1040, 1012, 6506, 25518, 1005, 1055, 2899, 2695, 2466, 2055, 1996, 9016, 2098, 12143, 4953, 1996, 9824, 1997, 19533, 14933, 1024, 1000, 2750, 1996, 3639, 1005, 1055, 3979, 6685, 2008, 19533, 2001, 2081, 1037, 8040, 24065, 3995, 4017, 2011, 1996, 2317, 2160, 1010, 14895, 2015, 1998, 24205, 2056, 2045, 2003, 2053, 4963, 2646, 2032, 1999, 1996, 2225, 3358, 1012, 19533, 1005, 1055, 3639, 2136, 2584, 2041, 2000, 2019, 6970, 16969, 2854, 2044, 2049, 3098, 4861, 2000, 24647, 1996, 2317, 2160, 2055, 2049, 5656, 1010, 2429, 2000, 1037, 3120, 2485, 2000, 1996, 3663, 1012, 1000, 1999, 2054, 2433, 2106, 2023, 4285, 2041, 2202, 2173, 1029, 2001, 2009, 2048, 1011, 2126, 1029, 2001, 2136, 19533, 1005, 1055, 5081, 2000, 2886, 20996, 3726, 1010, 2655, 23745, 2000, 1996, 3233, 1998, 9280, 14437, 7564, 1997, 2317, 2160, 7800, 2074, 1037, 21990, 9090, 1999, 2070, 4066, 1997, 19905, 1029, 2001, 2037, 3247, 2000, 2717, 2037, 2553, 1999, 2151, 2126, 3141, 2000, 2151, 10659, 2013, 1996, 2317, 2160, 1029, 2071, 19533, 2031, 2081, 2070, 4066, 1997, 1037, 3066, 2007, 1996, 2317, 2160, 2000, 5676, 1037, 4883, 14933, 1029, 5747, 2001, 2356, 2055, 1996, 19533, 2553, 1999, 2019, 4357, 2007, 4895, 24607, 7483, 2077, 2975, 2651, 2006, 1037, 2733, 1011, 2146, 4440, 2000, 3763, 2637, 1012, 2356, 3251, 2002, 2453, 14933, 19533, 1010, 5747, 3880, 1024, 1000, 1045, 1005, 1049, 3492, 2172, 2183, 2000, 2994, 2041, 1997, 2009, 2127, 1996, 2607, 1011, 1011, 1996, 2553, 2038, 2633, 2448, 2049, 2345, 1011, 1011, 1996, 2607, 2009, 1005, 1055, 2183, 2000, 2202, 1012, 1000, 2001, 5747, 2074, 3331, 2055, 2010, 5410, 1998, 13338, 8016, 2005, 2025, 15591, 2006, 1996, 2553, 2004, 1037, 2878, 1029, 2030, 2001, 2002, 9374, 2075, 2008, 2002, 2453, 2092, 2131, 2920, 1010, 2069, 2101, 1029, 1999, 2593, 2553, 1010, 2002, 5121, 2596, 2000, 2681, 1996, 2341, 2000, 1037, 14933, 2898, 2330, 1012, 2317, 2160, 3764, 6491, 2368, 2031, 2036, 2025, 5451, 2505, 2041, 1012, 5747, 1010, 1997, 2607, 1010, 2064, 14933, 3087, 2002, 4122, 2000, 2104, 2151, 25652, 1012, 1996, 4552, 3957, 2032, 2008, 2373, 1011, 1011, 2348, 1010, 2004, 1037, 26948, 2466, 2917, 7127, 1010, 14933, 2075, 19533, 2052, 23640, 2010, 2219, 3167, 3343, 1012, 2021, 16191, 2000, 1037, 14933, 2004, 1037, 21864, 2094, 4013, 22035, 1029, 2008, 2876, 1005, 1056, 3113, 3087, 1005, 1055, 7191, 4781, 1012, 2065, 2045, 2001, 2070, 4066, 1997, 3820, 2090, 1996, 19533, 2136, 1998, 1996, 2317, 2160, 1010, 2017, 2064, 2022, 2469, 4445, 1997, 1996, 4243, 2097, 2412, 6449, 2009, 1012, 2021, 2065, 2582, 3350, 19391, 2008, 2242, 2247, 2122, 3210, 2089, 2031, 2579, 2173, 1010, 2009, 3849, 2000, 2033, 2008, 1996, 2069, 2126, 5747, 2071, 3929, 14306, 1996, 2270, 2008, 2009, 2134, 1005, 1056, 4148, 2052, 2022, 2005, 2032, 2000, 16393, 2008, 2053, 2107, 14933, 2097, 2022, 3843, 1012, 5747, 1005, 1055, 3167, 14933, 3343, 2745, 2003, 12676, 4246, 1998, 2928, 21290, 27698, 8095, 4339, 2005, 26948, 2008, 1000, 2045, 1005, 1055, 2028, 3278, 2346, 23467, 2006, 1996, 4130, 2000, 19533, 1005, 1055, 12611, 1024, 3580, 2343, 5980, 23745, 1005, 1055, 2280, 2708, 1997, 3095, 2515, 2025, 7515, 2000, 2130, 2022, 2641, 2005, 1037, 4883, 14933, 2104, 3425, 2533, 11594, 1012, 1000, 2013, 1996, 2154, 2002, 2165, 2436, 1010, 5747, 3849, 2000, 2031, 2628, 2216, 11594, 3412, 2135, 1012, 2002, 1005, 1055, 2579, 2019, 17003, 2135, 12072, 2100, 3921, 2000, 14933, 2015, 1010, 15080, 2069, 12104, 1999, 2416, 2086, 1010, 3262, 2005, 4659, 3576, 9861, 1010, 7861, 4783, 17644, 3672, 1998, 4319, 3572, 5306, 2067, 2062, 2084, 2048, 5109, 1012, 5747, 1005, 1055, 14933, 2015, 2024, 1005, 8491, 2084, 2151, 2343, 1999, 2531, 2086, 1010, 1005, 2429, 2000, 5545, 2293, 1010, 2280, 14933, 4905, 2012, 1996, 3425, 2533, 1012, 1000, 2206, 1996, 6519, 2953, 2058, 2343, 3021, 7207, 1005, 1055, 2197, 1011, 3371, 14933, 1997, 21329, 10346, 2319, 19562, 7871, 4138, 1006, 2426, 2500, 1007, 1010, 5747, 2081, 2009, 3154, 2002, 2347, 1005, 1056, 4699, 1999, 15080, 2116, 14933, 2015, 1012, 1012, 1012, 1012, 1000, 1996, 2343, 2038, 2144, 5393, 2002, 3832, 2000, 2175, 2011, 1996, 2338, 1999, 15080, 2054, 2261, 14933, 2015, 2002, 1005, 1040, 2192, 2041, 1011, 1011, 6195, 2069, 11186, 2008, 2018, 2034, 2042, 8182, 2011, 1996, 3425, 2533, 2104, 1037, 2186, 1997, 7271, 2800, 11594, 1012, 1000, 2216, 7040, 1010, 2029, 2024, 6936, 2006, 1996, 3425, 2533, 4773, 2609, 2012, 7479, 1012, 13751, 29147, 1012, 18079, 1013, 14933, 1010, 2052, 4025, 2000, 2191, 1037, 19533, 14933, 1037, 2512, 14117, 3334, 1999, 2577, 1059, 1012, 5747, 1005, 1055, 2317, 2160, 1012, 2027, 1005, 5478, 1037, 9964, 2121, 2000, 3524, 1037, 2558, 1997, 2012, 2560, 2274, 2086, 2044, 10652, 2030, 2713, 2013, 21551, 1006, 29221, 2003, 2101, 1007, 2077, 15242, 1037, 14933, 4646, 1010, 1005, 2429, 2000, 1996, 3425, 4773, 2609, 1012, 1000, 9308, 1010, 1999, 15243, 3251, 2000, 16755, 1037, 14933, 1010, 1057, 1012, 1055, 1012, 16214, 2024, 4011, 2000, 5136, 3251, 2019, 23761, 2003, 23124, 3993, 1012, 1000, 1998, 2004, 2003, 12676, 4246, 1998, 21290, 27698, 8095, 2391, 2041, 1010, 5747, 2370, 7271, 2128, 10354, 23141, 2010, 3343, 1999, 1037, 13114, 1012, 1015, 4357, 2007, 4419, 2739, 8133, 11030, 6187, 19722, 3406, 1010, 2043, 2002, 2001, 2356, 2055, 14933, 2075, 2048, 2280, 1057, 1012, 1055, 1012, 3675, 6477, 6074, 7979, 1997, 4735, 2942, 2916, 13302, 1012, 1000, 2017, 2113, 1010, 1045, 2131, 2356, 2055, 14933, 2015, 2006, 1037, 2843, 1997, 2367, 3572, 1012, 1998, 2045, 1005, 1055, 1037, 7709, 1999, 2173, 1010, 1000, 5747, 2056, 1012, 1000, 2045, 2003, 1037, 2832, 1999, 2151, 2553, 2005, 1037, 2343, 2000, 2191, 1037, 14933, 6567, 1012, 1999, 2060, 2616, 1010, 2045, 2003, 1037, 2186, 1997, 4084, 2008, 2024, 2628, 1010, 2061, 2008, 1996, 14933, 2832, 2003, 1010, 2017, 2113, 1010, 1037, 11581, 2832, 1012, 1000, 1996, 14933, 6519, 2953, 1999, 2037, 2695, 2466, 1010, 6243, 1998, 6506, 25518, 4339, 1024, 1000, 2343, 5747, 2056, 7483, 2008, 2002, 2003, 1005, 3492, 2172, 2183, 2000, 2994, 2041, 1997, 1005, 1996, 2553, 1997, 1045, 1012, 4572, 1005, 8040, 17206, 2121, 1005, 19533, 2127, 1996, 3423, 2832, 2038, 2448, 2049, 2607, 1010, 13366, 2571, 11873, 3778, 2013, 6793, 1997, 1996, 2280, 2317, 2160, 14895, 2000, 14933, 2032, 2005, 2566, 9103, 2854, 1998, 27208, 1997, 3425, 1012, 1000, 19533, 1005, 1055, 6956, 2056, 5747, 2323, 2025, 3524, 2005, 19533, 2000, 2022, 7331, 1010, 1998, 2323, 2224, 2010, 3237, 2373, 2000, 8622, 3580, 2343, 23745, 1005, 1055, 2280, 2708, 1997, 3095, 1996, 3891, 1997, 3827, 2051, 2005, 4688, 2000, 1037, 2882, 6467, 1998, 8495, 6074, 2055, 2010, 2535, 1999, 24325, 1996, 2171, 1997, 2019, 16382, 9915, 2961, 1012, 2021, 1996, 9824, 1997, 1037, 14933, 13330, 26248, 2013, 8037, 1998, 14046, 2013, 2070, 10643, 15705, 1997, 2178, 6519, 2953, 1012, 1000, 3639, 9559, 2005, 19533, 2056, 2027, 2024, 4208, 2006, 6224, 1037, 2047, 3979, 1998, 16004, 9857, 1005, 1055, 6467, 14392, 1010, 2096, 2437, 3154, 2008, 2027, 2903, 1996, 2343, 2323, 3357, 1999, 1012, 1005, 2256, 2193, 2028, 3125, 2003, 2000, 2156, 8040, 17206, 2121, 1005, 1055, 10652, 8342, 2041, 2011, 1996, 5434, 1998, 2156, 2032, 19354, 26022, 1010, 1005, 4905, 2520, 5076, 8303, 3781, 1012, 2056, 1999, 2019, 4357, 1012, 1005, 2085, 1010, 1045, 1005, 2310, 2464, 2035, 1996, 4455, 2005, 1037, 14933, 1012, 1998, 1045, 5993, 2007, 2068, 1012, 2000, 2033, 1010, 2002, 2323, 2031, 2042, 14933, 2098, 2416, 2706, 3283, 2030, 1037, 2095, 3283, 1012, 1005, 1000, 1996, 19353, 1997, 1996, 4455, 2005, 1037, 14933, 2052, 5121, 2022, 3618, 2065, 19533, 2020, 2941, 1999, 7173, 1012, 2002, 2001, 10650, 14223, 23280, 2044, 2010, 10652, 6928, 1012, 1999, 1037, 3584, 2695, 3720, 1010, 6506, 25518, 1998, 2745, 1040, 1012, 18330, 4339, 1024, 1000, 2004, 1012, 1012, 1012, 19533, 1005, 1055, 16214, 2211, 12375, 2010, 9023, 7483, 1010, 3423, 8519, 10173, 2008, 3580, 2343, 23745, 1005, 1055, 2280, 2327, 14895, 2038, 2019, 6581, 3382, 1997, 9992, 3827, 2051, 2005, 2010, 2566, 9103, 2854, 20488, 2127, 2397, 2263, 1010, 3383, 2127, 2044, 1996, 4883, 2602, 1012, 1000, 2021, 1010, 2004, 1996, 6243, 1998, 6506, 25518, 2466, 2685, 2041, 1010, 1000, 2065, 2569, 9517, 4754, 1046, 1012, 11864, 16818, 2008, 19533, 4088, 3529, 2010, 6251, 2157, 2185, 1998, 14290, 10217, 1010, 2009, 2071, 2486, 1996, 3160, 10076, 1012, 1000, 3660, 8683, 7009, 1999, 1996, 2047, 2259, 2335, 1024, 1000, 1996, 14933, 12143, 1010, 2576, 1998, 3361, 1010, 2003, 4427, 1999, 2112, 2011, 1996, 2742, 2275, 2011, 2343, 5747, 1005, 1055, 2269, 1010, 2040, 3859, 2077, 2975, 2436, 14933, 2098, 2416, 2976, 4584, 2040, 2018, 2042, 5338, 1999, 1996, 4238, 1011, 24528, 9446, 1010, 2029, 2920, 1996, 25102, 2075, 1997, 2769, 2000, 1996, 15448, 2078, 24528, 2015, 2013, 1996, 10951, 1997, 2608, 4341, 2000, 4238, 1012, 2216, 14933, 2098, 2443, 25222, 19362, 1059, 1012, 11417, 28825, 1010, 2040, 2001, 2343, 8923, 11531, 1005, 1055, 3187, 1997, 3639, 1025, 1998, 9899, 23063, 1010, 2040, 2003, 1037, 3026, 2880, 2006, 1996, 2120, 3036, 2473, 1012, 1000, 1999, 1037, 11703, 1012, 2484, 1010, 2826, 1010, 16413, 15080, 1996, 2416, 2273, 18856, 21382, 9407, 1010, 1996, 2034, 2343, 5747, 3253, 1037, 2093, 1011, 3931, 19777, 2437, 23617, 2015, 2525, 2108, 10187, 2011, 20401, 1997, 1037, 14933, 2005, 2720, 1012, 19533, 1012, 1012, 1012, 1012, 1000, 5623, 1041, 1012, 11019, 1010, 1996, 2981, 12478, 1999, 1996, 4238, 1011, 24528, 6771, 1010, 17787, 1996, 14933, 2015, 2012, 1996, 2051, 1010, 3038, 2027, 1005, 25174, 2094, 1996, 6958, 2008, 2053, 2158, 2003, 2682, 1996, 2375, 1012, 1005, 1000, 2745, 17971, 1998, 4422, 8076, 4339, 2005, 2051, 1024, 1000, 5747, 2089, 2031, 2019, 20438, 2000, 2012, 2560, 2562, 1996, 2341, 2330, 2000, 1037, 2825, 14933, 1010, 2738, 2084, 18921, 20464, 18606, 2009, 2085, 1010, 2004, 8037, 18292, 1012, 1999, 2010, 2034, 7928, 2044, 1996, 14392, 1010, 2569, 9517, 4754, 11864, 21795, 2008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2031, 2017, 2939, 2115, 24239, 2651, 1029, 3942, 1037, 24239, 9906, 1029, 2009, 4332, 2041, 1010, 2027, 1521, 2128, 7249, 1024, 19679, 12928, 1010, 16125, 2015, 1010, 2902, 15753, 1010, 1041, 12519, 2063, 7242, 6401, 1010, 5231, 1010, 2503, 5040, 2015, 1010, 2103, 4534, 1998, 2035, 7957, 1997, 3182, 2073, 2111, 8587, 2030, 2175, 2005, 22560, 1012, 24239, 2015, 2298, 2066, 1037, 2892, 2090, 1037, 15079, 1998, 6154, 9363, 10649, 1012, 2037, 3210, 2024, 2081, 1997, 2600, 2030, 3500, 25548, 1010, 4993, 6386, 2007, 7696, 2000, 3866, 3924, 2439, 1010, 8164, 1010, 6773, 1010, 3392, 10726, 1998, 14438, 2066, 3123, 20971, 1998, 2060, 6386, 2007, 2204, 22755, 1012, 2037, 10425, 2024, 11127, 2030, 19817, 7716, 4181, 2598, 1010, 5509, 2030, 6643, 14028, 1012, 2070, 2024, 12109, 1010, 4993, 2006, 17517, 1010, 4565, 2039, 1998, 9687, 2000, 2082, 1010, 8323, 1010, 11578, 1998, 15996, 1012, 2000, 2582, 28679, 1996, 3937, 17839, 1997, 1037, 24239, 1010, 2009, 2003, 3214, 2000, 3328, 1999, 1010, 3153, 1999, 1010, 11839, 1999, 1010, 19960, 17570, 1999, 1010, 2022, 6517, 1999, 1010, 3407, 1999, 1010, 1056, 9148, 12190, 2105, 1999, 1006, 2021, 4847, 1996, 3210, 1998, 2404, 2067, 2151, 6573, 2041, 1997, 2173, 1007, 1010, 2000, 2074, 4064, 2115, 2568, 1999, 1529, 1037, 2051, 1997, 9185, 1012, 2045, 2003, 2053, 2157, 2030, 3308, 2126, 2000, 3328, 1037, 24239, 1998, 2045, 2024, 2053, 10908, 1010, 3412, 9530, 17048, 10708, 2030, 3451, 7264, 1012, 2009, 1521, 1055, 1037, 27768, 3795, 8887, 1012, 2009, 1521, 1055, 2178, 2126, 2000, 4019, 1996, 3679, 23088, 1998, 2131, 2439, 1999, 1996, 3558, 10988, 1997, 2009, 2035, 1012, 2009, 2003, 3141, 2000, 2969, 1024, 2000, 28667, 18256, 6593, 2007, 4426, 1998, 5959, 1996, 2617, 1012, 3328, 2028, 1998, 2424, 2041, 2054, 2009, 2515, 2005, 2017, 1012, 1996, 10424, 18809, 5603, 26230, 5054, 25197, 1010, 6384, 4665, 1010, 19193, 2202, 1996, 16517, 3170, 4130, 2646, 1996, 2688, 1010, 3413, 1996, 3123, 3871, 1010, 2892, 1996, 3298, 1998, 3357, 3031, 1996, 3730, 29399, 4130, 1012, 2247, 1996, 2126, 1010, 4638, 2041, 1996, 2887, 5954, 2401, 1998, 2887, 11035, 2015, 1012, 2083, 1996, 12226, 3871, 1998, 2566, 24141, 2050, 1010, 3422, 2005, 1996, 24239, 3696, 1998, 2175, 3442, 2083, 1996, 3628, 1012, 1037, 2402, 3232, 7365, 2855, 2083, 1996, 24239, 1010, 7458, 2000, 2298, 2012, 1996, 6386, 2917, 2008, 4562, 14231, 1010, 2540, 1011, 2371, 7696, 1012, 4165, 1997, 1996, 2060, 2088, 16130, 3458, 1996, 3628, 2008, 11895, 15810, 1999, 1996, 9478, 1012, 2023, 10367, 2061, 29243, 2039, 1996, 3392, 2614, 2008, 9466, 2682, 1996, 5005, 1997, 3765, 1010, 1996, 11895, 15810, 2008, 9099, 23865, 2015, 7575, 2401, 2004, 1045, 4607, 1996, 2088, 1997, 1996, 5249, 1012, 2568, 2058, 3043, 1012, 2022, 6065, 1012, 2156, 2065, 2017, 2064, 4019, 1999, 1996, 24239, 1012, 1996, 24239, 2001, 2081, 2011, 2204, 9940, 1010, 2642, 2047, 3933, 1521, 1055, 4239, 7692, 2005, 24665, 25587, 2336, 1998, 2037, 2945, 1010, 2005, 2037, 2569, 2154, 1024, 3246, 29037, 1010, 1037, 3328, 1997, 19451, 2005, 2945, 2000, 28667, 18256, 6593, 2007, 3866, 3924, 2040, 2031, 2351, 1012, 1523, 23920, 11968, 2791, 1006, 9133, 1997, 26235, 2495, 1013, 7570, 28228, 14561, 1998, 3019, 7692, 2968, 1010, 6384, 2221, 2380, 3222, 1007, 2245, 1997, 1996, 24239, 1010, 1524, 2758, 23787, 2050, 8945, 21197, 14183, 1010, 2204, 9940, 3237, 2472, 1012, 1523, 2057, 3866, 1996, 2801, 1012, 2057, 5598, 2006, 2009, 1012, 2070, 2111, 2012, 2204, 9940, 2018, 3325, 2007, 24239, 2015, 2061, 2057, 2743, 2007, 2009, 1012, 1524, 2021, 2339, 2012, 1996, 25197, 1029, 1523, 2057, 2359, 2019, 2724, 1999, 1037, 3019, 4044, 1012, 2045, 2024, 2061, 2116, 21438, 1998, 4332, 1998, 9612, 1998, 3376, 5822, 1012, 2045, 2020, 2116, 2945, 2040, 2020, 2196, 2045, 2077, 1998, 1996, 24239, 2001, 1037, 2126, 2027, 2052, 2709, 1012, 2009, 2001, 1037, 5792, 2090, 1996, 25197, 1998, 2149, 1012, 2111, 2018, 1037, 3376, 2154, 2012, 1996, 25197, 1010, 1524, 8945, 21197, 14183, 9909, 1012, 2758, 11968, 2791, 1024, 1523, 1045, 2359, 2028, 2005, 1037, 2146, 2051, 2138, 1037, 24239, 2003, 1037, 6994, 2005, 13804, 1998, 8907, 1012, 2009, 2003, 1037, 3819, 2674, 2090, 1996, 10424, 18809, 5603, 26230, 5054, 25197, 1998, 2204, 9940, 1012, 2027, 3305, 2331, 1012, 2331, 1998, 14524, 2003, 1996, 2466, 1997, 1037, 3871, 1012, 2027, 3305, 2331, 1012, 2027, 2024, 2025, 4452, 1997, 2009, 1998, 2024, 5627, 2000, 2831, 2055, 2331, 1012, 1524, 2204, 9940, 1521, 1055, 24239, 2136, 4900, 1996, 2640, 1010, 4417, 2009, 2041, 1999, 3467, 1998, 2328, 2009, 1037, 2733, 2077, 1996, 2782, 1011, 2066, 2724, 1010, 3246, 29037, 1012, 1037, 8292, 6444, 2923, 2081, 13262, 2007, 3267, 17366, 1012, 4169, 1996, 6386, 2001, 2112, 1997, 1996, 2154, 1521, 1055, 3450, 2005, 2155, 2372, 2008, 2443, 4526, 2242, 2000, 3288, 2188, 1010, 2242, 2000, 3288, 2067, 2000, 2204, 9940, 1010, 1998, 2242, 2000, 2681, 2012, 1996, 25197, 1012, 2006, 2008, 2154, 1010, 2007, 4278, 1009, 2111, 2920, 1010, 2155, 2372, 3479, 1037, 2600, 2008, 3764, 2000, 2068, 1010, 4993, 1037, 4471, 2006, 2009, 1998, 2872, 2009, 1999, 1996, 11051, 24239, 1012, 2204, 9940, 2097, 2709, 1999, 2089, 2286, 2000, 2907, 2037, 2117, 3246, 29037, 1523, 2138, 1996, 5749, 2031, 3574, 2000, 2111, 1012, 2057, 2481, 1521, 1056, 2292, 1996, 5749, 10436, 2138, 2111, 2404, 2037, 8072, 1998, 9293, 2046, 2068, 1012, 1996, 25197, 2001, 6919, 1012, 2009, 2001, 1037, 2307, 2674, 1998, 1037, 2307, 2742, 1997, 2129, 2048, 4411, 2064, 2147, 2362, 1010, 1524, 8945, 21197, 14183, 2758, 1012, 2202, 2115, 24239, 3328, 3679, 2013, 1022, 3286, 1011, 18406, 1012, 8499, 2277, 1997, 9503, 2221, 1010, 14425, 1010, 2047, 3933, 2132, 2005, 1996, 2240, 1997, 2630, 19893, 1998, 2644, 2503, 1996, 2566, 24141, 2050, 2000, 2514, 1996, 21209, 2015, 2008, 4088, 2000, 2689, 1996, 4382, 1012, 2514, 1996, 8187, 2004, 2017, 3357, 3031, 1037, 4130, 2090, 19893, 2015, 2008, 7683, 2041, 2000, 3543, 2017, 1012, 1037, 4251, 24239, 3913, 5129, 2011, 3748, 14156, 13244, 1998, 5249, 1012, 1037, 14638, 1011, 15751, 3871, 6645, 1996, 2962, 1011, 7732, 1010, 11127, 4130, 1024, 2358, 1012, 11545, 12155, 5339, 1010, 13007, 10362, 2401, 1010, 16185, 7834, 2401, 1010, 19823, 2050, 1010, 16660, 18979, 1998, 2214, 2751, 29425, 1012, 1996, 2614, 1997, 12883, 1998, 5055, 1012, 1045, 2215, 2000, 2514, 1996, 2182, 1998, 2085, 1012, 1037, 2757, 4743, 2482, 15671, 2015, 2006, 1996, 2962, 1012, 3521, 2005, 2070, 1529, 1999, 2070, 2126, 1012, 2166, 1998, 2331, 2004, 1999, 1037, 3871, 1010, 2004, 1999, 2166, 1012, 3585, 14127, 1010, 7282, 14161, 9331, 18041, 1010, 4410, 29525, 2818, 1529, 2328, 2006, 1037, 18573, 2011, 1996, 2277, 2372, 1010, 11127, 27598, 2015, 2682, 1996, 7290, 5749, 1997, 2169, 12313, 1012, 1045, 3328, 3254, 1010, 2298, 2091, 1010, 6575, 2005, 16724, 1012, 1045, 2156, 1037, 17901, 1010, 1037, 3962, 1997, 4408, 2665, 2114, 4462, 1012, 2012, 1996, 2415, 1010, 2396, 7699, 2872, 28962, 2006, 1037, 4257, 2600, 2191, 1037, 2227, 1998, 11127, 1999, 1037, 4920, 2007, 2200, 15981, 5744, 7926, 1012, 2001, 2009, 7844, 2030, 2074, 8314, 1029, 15023, 1010, 14885, 1010, 3909, 5568, 27330, 2015, 1529, 10636, 1011, 3139, 2600, 1012, 1996, 13244, 3310, 2000, 1996, 3341, 1012, 2066, 2151, 3871, 1010, 1996, 24239, 2442, 2022, 5224, 1012, 2442, 2272, 2067, 2000, 2023, 3376, 1010, 3748, 24239, 1012, 2330, 15933, 1012, 5039, 1997, 8594, 2160, 8594, 2160, 2001, 2467, 2046, 6259, 2477, 1024, 13804, 1010, 13272, 1010, 3788, 7925, 1999, 1996, 5249, 1012, 3788, 24239, 2015, 2211, 2322, 2086, 3283, 2043, 2016, 2387, 1037, 6302, 1997, 1996, 5385, 2095, 1011, 2214, 24239, 1999, 1996, 12847, 1997, 1996, 3673, 6072, 5040, 1999, 3673, 6072, 1010, 2605, 2073, 8656, 2864, 2037, 10957, 11278, 1012, 2008, 2001, 2043, 2016, 2018, 2019, 4958, 11514, 4819, 2100, 1012, 2014, 2698, 1011, 7456, 3200, 1999, 10503, 13731, 1010, 2047, 3933, 2003, 3243, 7746, 1012, 1996, 22800, 2455, 6645, 1996, 2703, 7076, 3102, 1998, 11051, 1010, 2038, 1037, 12348, 5460, 2008, 17624, 2229, 2091, 17381, 22177, 1010, 2998, 1037, 5742, 4770, 2328, 2006, 2019, 8548, 12907, 6770, 1010, 2038, 13109, 10050, 7512, 3560, 5822, 1998, 7167, 1997, 2396, 1012, 2025, 2069, 2003, 2023, 2717, 6525, 6024, 1999, 2993, 1010, 2016, 2580, 2093, 24239, 2015, 1024, 2019, 4958, 29122, 21673, 1019, 1011, 4984, 13675, 10085, 2271, 24239, 1010, 1037, 1021, 1011, 4984, 2962, 24239, 2333, 2013, 1037, 3025, 2188, 1010, 1998, 1037, 2235, 2962, 12313, 2006, 1037, 11984, 5093, 2457, 1012, 1523, 2043, 2017, 3328, 1037, 24239, 2017, 2024, 10564, 2019, 8468, 2000, 11839, 1010, 19960, 17570, 1010, 3579, 1010, 2377, 1010, 3153, 1010, 10152, 1516, 2022, 1999, 1996, 2617, 1012, 2009, 2074, 2038, 2009, 2035, 1524, 2758, 2160, 1010, 1037, 24239, 8930, 1998, 3954, 1997, 24239, 3971, 1012, 1523, 2043, 2017, 2031, 2000, 2404, 2028, 3329, 1999, 2392, 1997, 1996, 2060, 1010, 2017, 2123, 1521, 1056, 2031, 2000, 2228, 1012, 1998, 2138, 2017, 2024, 1999, 1996, 2556, 1010, 2296, 2617, 2003, 2367, 1012, 2017, 2089, 2514, 6517, 2030, 4372, 2121, 5856, 5422, 2030, 6569, 3993, 1012, 2008, 1521, 1055, 2054, 1521, 1055, 2061, 4658, 2055, 2009, 1012, 1524, 2009, 2003, 1037, 6994, 1006, 1997, 1996, 4382, 1007, 1012, 1523, 1996, 5418, 2003, 2061, 3418, 1010, 3788, 1999, 2009, 1045, 2514, 4198, 2000, 3418, 10748, 1010, 4198, 2000, 2051, 1998, 2686, 2043, 2009, 2001, 12430, 1010, 1524, 2758, 16560, 21713, 18492, 1010, 1037, 8930, 2040, 7126, 4279, 3857, 24239, 2015, 1010, 2107, 2004, 2028, 2012, 1996, 23025, 10222, 2121, 2396, 2688, 1999, 11294, 13731, 1010, 3552, 1012, 1523, 1998, 1996, 2062, 2111, 2040, 3328, 1999, 1996, 2686, 1010, 1996, 2062, 2027, 2681, 3521, 1998, 9396, 1998, 1996, 2686, 4150, 2062, 2624, 6593, 7810, 1010, 1524, 2160, 9909, 1012, 2043, 12697, 1037, 24239, 1010, 2160, 2079, 25581, 2000, 2424, 2049, 4211, 1998, 2415, 1012, 3173, 1037, 2460, 1010, 1048, 1011, 5044, 3384, 2079, 18161, 8473, 1999, 2169, 2192, 1010, 2016, 5176, 1037, 2186, 1997, 2748, 2030, 2053, 3980, 2107, 2004, 1523, 2003, 2023, 1037, 2204, 2173, 2005, 1037, 24239, 1029, 1524, 2065, 1996, 3437, 2003, 2748, 1010, 1996, 19485, 7370, 2000, 2892, 2058, 2169, 2060, 1012, 2065, 2025, 1010, 2027, 7370, 2330, 1012, 1523, 1060, 6017, 1996, 3962, 999, 1524, 2023, 3213, 2699, 23268, 7741, 2044, 2160, 10861, 11998, 1037, 3327, 3962, 1999, 2014, 3871, 2195, 2335, 1998, 2284, 1996, 4211, 1998, 2415, 1012, 1996, 19485, 14831, 2000, 12210, 1996, 3295, 1998, 2415, 1012, 2160, 1521, 1055, 5440, 24239, 2000, 3328, 2003, 1996, 2028, 2012, 3673, 6072, 5040, 1012, 1523, 3788, 2009, 1010, 2017, 2131, 2920, 1998, 2017, 2123, 1521, 1056, 2113, 2073, 2017, 2024, 1010, 1524, 2016, 2758, 1012, 1523, 1045, 2066, 9085, 1999, 1998, 2041, 1997, 2051, 1998, 2043, 2017, 2131, 2000, 1996, 2415, 1998, 2111, 2024, 3788, 2009, 2105, 2017, 1010, 2009, 1521, 1055, 1037, 2200, 2204, 3110, 1012, 1524, 2131, 1999, 3543, 2007, 4426, 2012, 1037, 24239, 2379, 2017, 1012, 2017, 1521, 2222, 2066, 2009, 999, 1996, 10424, 18809, 5603, 26230, 5054, 25197, 7479, 1012, 25197, 19699, 9013, 5104, 1012, 8917, 1013, 2824, 1006, 4037, 2758, 27046, 2244, 2021, 3632, 3458, 1010, 2655, 2065, 4986, 1007, 2204, 9940, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 2204, 1011, 9940, 1012, 8917, 1013, 8499, 1997, 9503, 2221, 1024, 8299, 1024, 1013, 1013, 8499, 11253, 13203, 3366, 2595, 1012, 8917, 8594, 2160, 2012, 24239, 3971, 1024, 3938, 2620, 1011, 4029, 2475, 1011, 5354, 2575, 2683, 12453, 1037, 24239, 2379, 2017, 1024, 1996, 24239, 2554, 2088, 24239, 2154, 1024, 5095, 1010, 2089, 1018, 1010, 2286, 1012, 2023, 2003, 1037, 2154, 2043, 2111, 2035, 2058, 1996, 2088, 3913, 2041, 24239, 2015, 1998, 3328, 24239, 2015, 2005, 8907, 1998, 3521, 1012, 1008, 1008, 2035, 7760, 2011, 2984, 14855, 11624, 4983, 4728, 3264, 1012, 2062, 2166, 3871, 4790, 6140, 2023, 2466, 1024, 2405, 2244, 2603, 1010, 2262, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5449, 3399, 1516, 4968, 3370, 1999, 2336, 1521, 1055, 3906, 2795, 1997, 8417, 4955, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1012, 1016, 1015, 1012, 1014, 2336, 1521, 1055, 3906, 1998, 22969, 2005, 2336, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1012, 1017, 1016, 1012, 1014, 1996, 6459, 1997, 24287, 2015, 1521, 8867, 7122, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1020, 1017, 1012, 1014, 4968, 3370, 1999, 1996, 5449, 1997, 2336, 1521, 1055, 3906, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1012, 1021, 1018, 1012, 4968, 3370, 1999, 24287, 2015, 1521, 8867, 7122, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1023, 1018, 1012, 1015, 17859, 17241, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1023, 1018, 1012, 1016, 3746, 17241, 1516, 5449, 1997, 11249, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 2340, 1018, 1012, 1017, 6348, 19037, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1012, 2459, 1018, 1012, 1018, 4968, 3370, 1997, 3415, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1012, 1023, 15306, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 1012, 2538, 7604, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1529, 1012, 2603, 1015, 5449, 3399, 1516, 4968, 3370, 1999, 2336, 1521, 1055, 3906, 1523, 4968, 3370, 8752, 2015, 2993, 2000, 4539, 3451, 1998, 12158, 5300, 1024, 2083, 4968, 3370, 1010, 2057, 15581, 1996, 3793, 2429, 2000, 2049, 2925, 8141, 1010, 3226, 1010, 2554, 1010, 17606, 1998, 2373, 4262, 1012, 1524, 1006, 1051, 12474, 21820, 2494, 1024, 14378, 1007, 1012, 6848, 1999, 7189, 2000, 1996, 5449, 1997, 2336, 1029, 1055, 3906, 1012, 4955, 1999, 1996, 2197, 5659, 2086, 1010, 2336, 1029, 1055, 3906, 1010, 1037, 5884, 6964, 3378, 2007, 5089, 1998, 13850, 2015, 1010, 2038, 2042, 2081, 1037, 3395, 1997, 4866, 12683, 2470, 1006, 21628, 8296, 2526, 1007, 1012, 1999, 2755, 1010, 2470, 2408, 2536, 12736, 2038, 5201, 2000, 2488, 7684, 1998, 4824, 1997, 1996, 3643, 1997, 2023, 6907, 1012, 7453, 1010, 1996, 5197, 1997, 1996, 8476, 2001, 2716, 2000, 1996, 18921, 1998, 2062, 1998, 2062, 2913, 2031, 2042, 4056, 2000, 1996, 5449, 1997, 2336, 1029, 1055, 3906, 1998, 1996, 5449, 5461, 2920, 1012, 2028, 1997, 1996, 5461, 2109, 2011, 28396, 1010, 2029, 2038, 2042, 2036, 8077, 4162, 2000, 1996, 2336, 1029, 1055, 3906, 1010, 2003, 1996, 5656, 1997, 4968, 3370, 1010, 2034, 3107, 1999, 1996, 2147, 1997, 2310, 24072, 2072, 1006, 2786, 1007, 1012, 1996, 6614, 1997, 2023, 9491, 2003, 2000, 10580, 1998, 6848, 4973, 1999, 2029, 4968, 3370, 2832, 2003, 5710, 1012, 1996, 4973, 2024, 2579, 2013, 1996, 4438, 4505, 1997, 2336, 1029, 1055, 3906, 1010, 1045, 1012, 1041, 1012, 1996, 2785, 2121, 1011, 6151, 5292, 2271, 7849, 8661, 8867, 7122, 2011, 19108, 1998, 9070, 24287, 1012, 1999, 1996, 2034, 2112, 1997, 1996, 2817, 1010, 1996, 2364, 6459, 1997, 2336, 1029, 1055, 3906, 1010, 2164, 1996, 2364, 2838, 1997, 24287, 2015, 1029, 2250, 22123, 23266, 1010, 2024, 2649, 1012, 1996, 3078, 2470, 3430, 2038, 2042, 8061, 2000, 1037, 2261, 8867, 7122, 2011, 24287, 3428, 1006, 4013, 6460, 25509, 9535, 11029, 1011, 11867, 28872, 2884, 3784, 2807, 28332, 2581, 1007, 1998, 2037, 2048, 3907, 11913, 1010, 2011, 13389, 2072, 16985, 19779, 5488, 2013, 3838, 1998, 24020, 2050, 23025, 8865, 15568, 2912, 2013, 2230, 1012, 1996, 2682, 11913, 2031, 2042, 2405, 1999, 2048, 2367, 2086, 2011, 2048, 2367, 4640, 3506, 1012, 2174, 1010, 2119, 4685, 1996, 2168, 3853, 1999, 1996, 3907, 2291, 1997, 2336, 1029, 1055, 3906, 1998, 2024, 6461, 2012, 1996, 4539, 8068, 1997, 1021, 1011, 2260, 2095, 1011, 2214, 2336, 1012, 1016, 5449, 3399, 1516, 4968, 3370, 1999, 2336, 1521, 1055, 3906, 1996, 2832, 1997, 4968, 3370, 1998, 2049, 4646, 2003, 6936, 2011, 4431, 2000, 1996, 4973, 2579, 2013, 1996, 2682, 11913, 1998, 4102, 2007, 1996, 3824, 2394, 3074, 1997, 24287, 2015, 1029, 8867, 7122, 2013, 2263, 1010, 4709, 2026, 9837, 1997, 2793, 7292, 7122, 1012, 2011, 7727, 2000, 1996, 2048, 3907, 11913, 2013, 2367, 6993, 1998, 1996, 3824, 2394, 2028, 1010, 1996, 6614, 2003, 2000, 2265, 2008, 1996, 3563, 2051, 1998, 3226, 1999, 2029, 1037, 11403, 2573, 2064, 3747, 1996, 4525, 3793, 1998, 1996, 2126, 2009, 2003, 4968, 4383, 1012, 2009, 2003, 5113, 2008, 2011, 11243, 2107, 2019, 3921, 1037, 6748, 4824, 1997, 1996, 4968, 3370, 2832, 2097, 2022, 9412, 1012, 1012, 1014, 2336, 1521, 1055, 3906, 1998, 22969, 2005, 2336, 2045, 3849, 2000, 2022, 2210, 10465, 2004, 2000, 1996, 6210, 1997, 2336, 1029, 1055, 3906, 1012, 2429, 2000, 1996, 3926, 11403, 1998, 13825, 15544, 12474, 2050, 1051, 12474, 21820, 1006, 2456, 1007, 1010, 2336, 1029, 1055, 2808, 2031, 2037, 2219, 2569, 2838, 1010, 2107, 2004, 11249, 1998, 6348, 1010, 2029, 3499, 2005, 1996, 3793, 2000, 2022, 3191, 12575, 1012, 1051, 12474, 21820, 2036, 2685, 2041, 2008, 2043, 22969, 2023, 2828, 1997, 3906, 1010, 2028, 1997, 1996, 2087, 2590, 2477, 2000, 3342, 2003, 2008, 1523, 5449, 2038, 2000, 3853, 4077, 1996, 11249, 1998, 2006, 1996, 12575, 1011, 8068, 1029, 1055, 4416, 1524, 1006, 2456, 1024, 1019, 1007, 1012, 2004, 1037, 2765, 1010, 2028, 1997, 1996, 28396, 1029, 14925, 7295, 19516, 2109, 1999, 1996, 2832, 1997, 5449, 2003, 2000, 15581, 2119, 1997, 1996, 2682, 2838, 2000, 1996, 4539, 1011, 8068, 4378, 1012, 2004, 2566, 1051, 12474, 21820, 1010, 1523, 2336, 1029, 1055, 3906, 2064, 2022, 2464, 2593, 2004, 3906, 2550, 1998, 3832, 2005, 2336, 2030, 2004, 3906, 3191, 2011, 2336, 1524, 1006, 2456, 1024, 6079, 1007, 1012, 2848, 5690, 1006, 2889, 1007, 9251, 1010, 2174, 1010, 2008, 1996, 7372, 1997, 2023, 2828, 1997, 3906, 2024, 2200, 26710, 1998, 2054, 2323, 2022, 2579, 2046, 9584, 2043, 20852, 2009, 2013, 4639, 1029, 1055, 3906, 2003, 1996, 11765, 1997, 2336, 1029, 1055, 3906, 2000, 2022, 2062, 2856, 2646, 2049, 8141, 1010, 1045, 1012, 1041, 1012, 2336, 1012, 2023, 3663, 3849, 2000, 2022, 2062, 8552, 2043, 22969, 2336, 1029, 3906, 2004, 2009, 2064, 2022, 2572, 5638, 24879, 1998, 2031, 1037, 7037, 4378, 1010, 8419, 2336, 1998, 6001, 1012, 21146, 5737, 2102, 6083, 2008, 2808, 2107, 2004, 19739, 6894, 6299, 1521, 1055, 7930, 1010, 27125, 1011, 1996, 1011, 13433, 11631, 1010, 1996, 2210, 3159, 1010, 1996, 7570, 10322, 4183, 1010, 1998, 5650, 1017, 5449, 3399, 1516, 4968, 3370, 1999, 2336, 1521, 1055, 3906, 7357, 1999, 20365, 4839, 2006, 2048, 3798, 1010, 1045, 1012, 1041, 1012, 2028, 2856, 2000, 2336, 1998, 2028, 2000, 6001, 1006, 3261, 1999, 1051, 12474, 21820, 2456, 1024, 6191, 1011, 4185, 1007, 1012, 2947, 1010, 1037, 2338, 2761, 3832, 2005, 2336, 2453, 2031, 1037, 2367, 3853, 2044, 2108, 5421, 1998, 6660, 1037, 2338, 2029, 2001, 2517, 2005, 6001, 2089, 2022, 2101, 2006, 5967, 2005, 2336, 1012, 5593, 2064, 2022, 2036, 2641, 2004, 1037, 2591, 2030, 3451, 3277, 1050, 2094, 1996, 3853, 1997, 2336, 1029, 1055, 3906, 2004, 2092, 2004, 2049, 5449, 2003, 2059, 2200, 2411, 4225, 2004, 4807, 1012, 22969, 2005, 2336, 2064, 2022, 4225, 2004, 4807, 2090, 2336, 1998, 6001, 1010, 2004, 2009, 2003, 2788, 6001, 2040, 17637, 2808, 2005, 2336, 1012, 9308, 1010, 2336, 2024, 1523, 17502, 1524, 2000, 2191, 7264, 2007, 1996, 2613, 2088, 2105, 2068, 1010, 2000, 10639, 1012, 1006, 1051, 12474, 21820, 2456, 1024, 4008, 1007, 3568, 1010, 2043, 22969, 2336, 1029, 1055, 3906, 1010, 28396, 2024, 3173, 1037, 6594, 2007, 2336, 1998, 2323, 5136, 2070, 25304, 2838, 1997, 1996, 3793, 2107, 2004, 2806, 1998, 16188, 1999, 2344, 2000, 3929, 9125, 1996, 8068, 1999, 2023, 2828, 1997, 4807, 1012, 9308, 1010, 3015, 2005, 2336, 1010, 2004, 4081, 2011, 6437, 2813, 1006, 2889, 1007, 1010, 2453, 2022, 2062, 3375, 2084, 3015, 2005, 6001, 2004, 2336, 1029, 1055, 4824, 2003, 2062, 3622, 1012, 1996, 2845, 22978, 23310, 1058, 2100, 3995, 26824, 3084, 1037, 2844, 2553, 2005, 1996, 2775, 1029, 1055, 2591, 3012, 1998, 2163, 2008, 1523, 2775, 1029, 1055, 4613, 2003, 5079, 2000, 5509, 10126, 2166, 1998, 2003, 2200, 2591, 2011, 2049, 3267, 1524, 1006, 2960, 1999, 1051, 12474, 21820, 2456, 1024, 4805, 1007, 1012, 2947, 1010, 28396, 2323, 2196, 17637, 2616, 1999, 12477, 2021, 1999, 2037, 3451, 6123, 1999, 2344, 2000, 11835, 3929, 2007, 1996, 8068, 1012, 2027, 2323, 3288, 2000, 1996, 5449, 2037, 1523, 3451, 4348, 1010, 2037, 3752, 3325, 1010, 1998, 1010, 1999, 1996, 2553, 1997, 2336, 1029, 2808, 1010, 2037, 3746, 1997, 5593, 1998, 2037, 2219, 2775, 3746, 1524, 1006, 1051, 25090, 10087, 2078, 2456, 1024, 1016, 1007, 1012, 1999, 2023, 2126, 1010, 2043, 2028, 7009, 1010, 24899, 2030, 16315, 2005, 2336, 1010, 2028, 2515, 2009, 2006, 1996, 3978, 1997, 1996, 2878, 2554, 1029, 1055, 3746, 1997, 5593, 1012, 1018, 5449, 3399, 1516, 4968, 3370, 1999, 2336, 1521, 1055, 3906, 1996, 2682, 3193, 2038, 2042, 2036, 3569, 2011, 2474, 10760, 2100, 1999, 2010, 4366, 2008, 2336, 1029, 1055, 3906, 1998, 2049, 11913, 5769, 1523, 3251, 2336, 2024, 5240, 2004, 7036, 2030, 8254, 3993, 1999, 2151, 2445, 3439, 2558, 2030, 3295, 1529, 1998, 2129, 2027, 2024, 14286, 2030, 7789, 2135, 5161, 1524, 1006, 2294, 1024, 1020, 1007, 1012, 2429, 2000, 16405, 19585, 21820, 1006, 2786, 1024, 2459, 1007, 1010, 2023, 2003, 3495, 4198, 2007, 1996, 7037, 2839, 1997, 2336, 1029, 1055, 3906, 2029, 2003, 3191, 2025, 2069, 2005, 4024, 1998, 4706, 3325, 2021, 2036, 2109, 2004, 1037, 6994, 1999, 2495, 1012, 9308, 1010, 1523, 2023, 7037, 2839, 13531, 2119, 1996, 3015, 1998, 1996, 5449, 1997, 2336, 1029, 1055, 3906, 1524, 1006, 21307, 3593, 1007, 1012, 2107, 3451, 10908, 1997, 5593, 2064, 2036, 2507, 4125, 2000, 15657, 1999, 1996, 2832, 1997, 5449, 1010, 3391, 1999, 1996, 6630, 1997, 2107, 8474, 2004, 4808, 1010, 27505, 2015, 2030, 10047, 22049, 9164, 1012, 2947, 1010, 2004, 5159, 2011, 1051, 1029, 17199, 1010, 11913, 2024, 2467, 4146, 2429, 2000, 1523, 2106, 28804, 1010, 17859, 1010, 12962, 1998, 3412, 17606, 1524, 1006, 2294, 1024, 2603, 1007, 1012, 2004, 1037, 2765, 28396, 3243, 2411, 7001, 2000, 17241, 1999, 2344, 2000, 16957, 1996, 8068, 1998, 4468, 18046, 2029, 2453, 2022, 14286, 2030, 20547, 24156, 1012, 2633, 1010, 2028, 1997, 1996, 5936, 1997, 1996, 28396, 1997, 2336, 1029, 1055, 6981, 2003, 1996, 22718, 1997, 1996, 2402, 8068, 1029, 1055, 3716, 1997, 1996, 2088, 1012, 2004, 28396, 1029, 3329, 20564, 2024, 4895, 16846, 2483, 21450, 5576, 2000, 2023, 3291, 1010, 2310, 24072, 2072, 1006, 2432, 1007, 7127, 2008, 2028, 1997, 1996, 4703, 2109, 9887, 1999, 2336, 1029, 1055, 6981, 2003, 1525, 2334, 6648, 1029, 2030, 1525, 4968, 3370, 1029, 1012, 2004, 3090, 2011, 2474, 10760, 2100, 1010, 2107, 1523, 17241, 16626, 2006, 17568, 2008, 2402, 8141, 2097, 2424, 2009, 3697, 2000, 4632, 27605, 13806, 3097, 3415, 1010, 25396, 1010, 9440, 8525, 21807, 2030, 5269, 1010, 1998, 2008, 2027, 2089, 15454, 1037, 3793, 10842, 1037, 3226, 2008, 2003, 16261, 1524, 1006, 2294, 1024, 1021, 1007, 1012, 3568, 1010, 2004, 2566, 3581, 1006, 2384, 1007, 1010, 28396, 2031, 2000, 15581, 1998, 2823, 2130, 17708, 1996, 3793, 1999, 2344, 2000, 4863, 1996, 4471, 2000, 1996, 4539, 8068, 1012, 1996, 4973, 1997, 1996, 2682, 17568, 2024, 8280, 1999, 2023, 9491, 1999, 4431, 2000, 1996, 2088, 1011, 2124, 24287, 2015, 1029, 8867, 7122, 1012, 1019, 5449, 3399, 1516, 4968, 3370, 1999, 2336, 1521, 1055, 3906, 1016, 1012, 1014, 1996, 6459, 1997, 24287, 2015, 1521, 8867, 7122, 8867, 6925, 1516, 1037, 3151, 5154, 22059, 5967, 1998, 2517, 2091 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 9011, 2778, 5009, 9011, 2001, 2026, 2034, 7688, 2076, 2026, 4021, 4440, 1012, 2096, 2746, 2000, 5137, 1010, 2026, 2034, 2933, 2001, 2000, 2175, 2000, 2394, 2607, 2005, 1018, 1011, 1019, 2706, 1999, 9011, 1998, 2059, 2000, 3604, 2000, 1996, 3470, 1997, 5137, 1998, 3518, 3032, 1012, 2021, 2026, 3488, 2106, 2025, 2175, 2092, 1012, 1045, 2106, 2025, 2994, 1999, 5137, 2005, 1037, 2146, 2051, 1012, 1996, 4436, 2369, 2023, 2024, 6450, 3465, 1997, 2542, 1010, 2205, 2172, 10796, 1010, 2152, 4126, 3446, 1998, 5377, 4026, 3471, 1012, 1996, 2103, 2003, 6719, 1996, 2103, 1997, 15516, 1012, 9308, 1010, 2144, 1045, 2245, 2008, 1996, 2394, 2607, 2001, 14710, 1010, 1045, 4370, 1999, 5137, 2005, 2055, 1016, 1010, 1019, 2706, 1012, 1999, 2008, 1016, 1010, 1019, 3204, 2558, 1010, 1045, 2018, 1996, 4495, 2000, 3604, 2000, 2049, 3470, 1998, 3655, 1012, 1999, 2023, 3720, 1010, 1045, 2097, 2069, 5254, 2055, 1996, 3182, 2000, 3942, 1999, 9011, 1012, 1998, 4237, 2013, 2023, 1010, 1045, 2097, 4339, 6851, 4790, 2055, 2160, 9278, 2075, 1999, 9011, 1010, 5193, 1010, 8402, 1996, 5137, 9425, 1010, 9152, 5603, 2166, 1998, 2833, 1004, 19645, 1012, 3582, 2033, 2006, 16021, 23091, 1516, 1028, 1030, 2105, 1012, 2362, 1996, 2103, 1997, 9011, 2009, 2003, 1996, 3007, 2103, 1997, 5137, 1998, 2284, 2006, 21622, 1010, 1996, 5221, 2479, 1997, 1996, 2406, 1012, 9011, 2003, 1037, 4975, 18236, 1999, 2029, 2058, 2260, 8817, 2111, 2444, 1012, 1996, 2171, 1997, 1996, 2406, 7940, 2013, 1996, 3009, 2332, 17095, 2462, 1012, 1998, 1996, 2171, 1997, 1996, 9011, 2103, 7940, 2013, 2089, 9152, 27266, 1012, 1999, 6415, 23067, 2290, 2653, 1010, 1523, 9152, 27266, 1524, 2965, 5133, 3023, 1998, 1523, 2158, 16523, 4492, 1524, 2003, 1037, 3269, 2029, 7502, 1999, 22722, 1012, 1996, 5221, 3471, 1997, 5137, 1998, 9011, 2926, 2024, 2152, 2313, 1010, 4026, 1010, 4126, 3446, 1010, 10796, 1998, 4785, 1012, 2129, 2146, 2000, 2994, 1999, 9011, 1029, 1016, 2420, 2024, 2438, 2000, 3942, 2035, 1996, 3182, 1997, 9011, 1012, 2087, 1997, 2068, 2024, 1999, 26721, 20136, 2891, 2181, 1012, 2017, 2064, 3926, 2115, 2103, 2778, 2011, 5873, 15544, 16739, 2380, 5728, 1012, 2144, 1045, 4370, 2005, 2062, 2084, 1037, 2261, 2420, 1999, 9011, 1010, 1045, 4716, 1996, 3182, 1999, 2367, 2420, 1012, 2065, 2017, 2031, 1037, 3132, 2051, 1010, 2017, 2488, 2202, 1037, 10095, 1998, 2175, 2000, 26721, 20136, 2891, 2181, 1012, 2017, 2064, 2655, 2005, 1037, 10095, 2007, 6723, 1999, 9011, 1012, 2144, 2017, 2113, 2129, 2172, 2017, 2097, 3477, 2077, 2017, 2655, 2005, 1996, 10095, 1010, 2017, 2123, 1521, 1056, 2342, 2000, 4737, 2055, 2107, 2477, 2066, 2065, 2017, 2097, 2131, 5881, 1999, 4026, 2030, 2065, 1996, 4062, 3138, 1996, 2146, 2126, 1012, 2017, 2064, 3319, 1996, 18726, 2008, 1045, 2224, 2076, 2026, 9109, 1012, 3182, 2000, 3942, 1024, 1011, 8728, 3317, 1006, 3481, 8728, 1007, 1011, 9011, 5040, 1011, 2624, 26889, 5040, 1011, 2624, 26889, 2688, 1011, 28352, 6692, 19731, 2139, 2624, 5277, 1011, 5984, 2613, 3871, 1011, 2120, 2688, 1011, 10275, 2111, 2688, 1011, 15544, 16739, 2380, 1011, 2822, 3871, 1011, 1037, 28617, 2688, 1011, 21864, 9331, 2080, 5040, 1011, 3585, 8806, 1011, 2822, 10971, 1011, 21864, 9331, 2080, 1998, 4487, 11365, 11069, 22774, 2015, 1011, 2665, 21561, 6023, 6670, 1998, 2380, 1011, 6670, 1997, 4021, 9011, 2051, 2721, 29251, 2678, 8728, 3317, 1006, 3481, 8728, 1007, 2023, 2038, 2042, 1996, 2173, 2029, 1045, 4669, 2087, 2076, 2026, 9011, 4440, 1012, 8728, 3317, 2001, 2109, 2004, 1037, 2173, 1999, 2029, 1996, 20999, 5067, 2037, 9573, 3111, 1999, 17403, 2487, 1012, 1996, 3317, 2003, 2036, 2109, 2004, 1037, 3827, 1010, 8639, 1998, 2331, 2391, 2005, 2086, 1012, 2551, 2847, 1024, 9857, 1011, 4465, 5641, 1024, 4002, 1011, 2324, 1024, 4002, 1516, 6928, 2410, 1024, 4002, 1011, 2324, 1024, 4002, 4211, 7408, 1024, 4293, 21877, 17063, 2009, 2003, 1037, 2204, 3225, 2391, 2005, 9011, 2778, 1012, 1996, 2277, 2001, 2511, 2011, 4916, 6507, 1999, 17403, 2487, 1999, 2344, 2000, 3659, 4828, 7088, 3723, 1998, 3627, 2058, 1012, 4831, 4557, 4716, 1998, 12299, 1996, 5040, 1999, 5767, 2254, 2325, 1012, 2045, 2024, 20973, 7650, 1996, 2277, 1012, 2065, 2017, 3942, 2045, 2096, 2009, 2003, 2330, 1010, 2017, 2064, 2156, 2068, 1012, 2648, 1996, 5040, 1010, 1996, 12468, 3749, 2000, 2202, 2017, 1037, 2778, 2007, 1996, 7341, 1999, 2037, 2398, 2029, 2265, 1996, 3182, 2000, 3942, 1012, 2017, 2064, 2036, 9278, 1037, 6887, 6679, 2669, 1012, 2044, 2975, 1996, 5040, 1010, 2017, 7409, 1996, 3268, 1997, 5137, 2008, 2444, 1999, 1996, 3439, 2181, 1012, 2017, 2323, 3422, 2115, 8722, 2096, 3788, 2182, 1012, 2111, 2681, 1999, 3243, 2235, 3506, 1012, 2017, 2156, 2111, 4688, 2006, 1996, 2723, 1999, 2296, 3420, 1012, 2624, 26889, 2277, 1998, 2688, 2044, 3788, 1999, 1996, 2395, 1010, 2624, 26889, 2277, 3544, 2074, 2077, 2017, 1012, 6854, 1010, 2057, 2071, 2025, 2175, 1999, 2349, 2000, 1037, 5030, 1012, 3666, 1996, 5030, 2001, 1037, 3835, 3638, 2005, 2033, 1012, 2624, 26889, 2688, 2003, 2279, 2000, 1996, 2277, 1012, 2043, 1045, 2356, 2000, 1996, 5731, 2746, 2041, 2013, 1996, 2688, 1010, 2027, 2056, 2008, 2045, 2024, 2498, 2172, 4276, 2000, 2156, 2503, 1012, 9308, 1010, 1996, 4211, 7408, 2001, 2152, 1998, 1045, 6871, 2025, 2000, 2175, 2503, 1012, 2551, 2847, 1024, 5511, 1024, 4002, 1011, 2260, 1024, 4002, 1516, 2410, 1024, 4002, 1011, 2324, 1024, 4002, 2688, 4211, 7408, 1024, 3263, 21877, 17063, 28352, 6692, 19731, 2139, 2624, 5277, 28352, 6692, 19731, 2139, 2624, 5277, 2001, 2328, 2006, 1996, 4943, 3420, 1997, 26721, 20136, 2891, 1012, 2009, 2003, 1037, 3492, 5875, 2311, 1012, 2043, 2009, 2034, 2001, 2328, 1010, 2009, 2001, 1999, 1037, 2433, 1997, 24616, 3317, 1012, 2059, 2009, 2001, 2904, 1037, 2261, 2335, 1012, 1996, 2024, 2116, 2624, 6593, 22579, 1010, 20199, 16451, 2015, 1010, 15996, 1010, 3182, 2000, 2994, 1998, 9656, 2503, 1996, 3317, 1012, 1996, 21913, 2031, 2196, 2042, 2736, 2349, 2000, 1996, 3785, 1012, 28352, 6692, 19731, 2139, 2624, 5277, 2003, 2019, 5875, 2311, 1012, 2009, 3774, 1997, 2093, 24004, 22461, 7925, 1012, 2034, 4418, 2038, 1037, 6705, 1997, 1022, 5563, 1998, 1037, 2813, 14983, 1997, 1015, 1010, 4601, 5563, 1012, 2117, 7925, 2003, 1037, 2210, 2978, 5591, 1012, 1996, 2353, 4418, 1010, 1996, 5221, 1010, 2038, 1037, 6705, 1997, 3590, 5563, 1998, 1037, 2813, 14983, 1997, 1017, 5563, 1012, 1996, 2087, 6058, 4418, 3774, 1997, 2340, 4734, 1012, 2551, 2847, 1024, 5511, 1024, 4002, 1011, 2459, 1024, 4002, 4211, 7408, 1024, 4639, 4293, 21877, 17063, 1010, 3076, 2753, 21877, 17063, 5984, 2613, 3871, 1996, 3871, 2503, 26721, 20136, 2891, 2003, 2284, 2074, 4218, 28352, 6692, 19731, 2139, 2624, 5277, 1012, 1996, 3871, 2003, 2092, 1011, 8725, 1012, 2045, 2024, 19815, 2545, 2006, 1996, 3317, 3681, 1012, 1998, 2045, 2024, 2116, 4264, 1012, 2009, 2003, 1037, 2307, 2391, 2000, 2031, 1037, 2717, 2076, 2115, 2778, 1012, 1037, 2112, 1997, 1996, 2380, 2003, 2109, 2004, 1037, 5439, 2607, 1012, 2027, 2357, 1996, 2503, 1997, 1996, 3439, 2311, 2046, 1037, 5439, 2607, 1012, 1996, 2120, 2688, 1010, 2029, 2003, 2441, 2004, 3802, 7295, 6779, 1010, 3267, 2381, 1998, 3119, 2688, 1999, 5775, 1010, 2003, 2284, 2074, 2369, 15544, 16739, 2380, 1012, 2049, 2171, 2001, 2904, 2000, 2120, 2688, 1999, 2687, 1012, 2045, 2024, 2116, 10471, 1999, 1996, 2688, 2029, 2024, 2055, 3802, 7295, 6779, 1010, 12795, 1010, 7905, 8780, 6483, 1998, 5107, 2840, 1012, 2926, 1996, 2112, 2006, 1996, 2327, 2723, 1010, 1999, 2029, 11687, 18389, 3473, 1999, 2367, 3033, 1997, 1996, 2406, 2024, 2006, 2265, 1010, 2003, 3492, 5875, 1012, 1996, 4253, 1998, 1996, 5693, 2008, 2024, 2109, 2011, 5137, 2334, 2111, 2024, 2006, 2265, 1999, 1996, 2688, 1012, 2551, 2847, 1024, 9857, 1516, 4465, 2184, 1024, 4002, 1011, 2459, 1024, 4002, 4211, 7408, 1024, 5018, 21877, 17063, 1006, 2489, 2076, 2238, 1007, 10275, 2111, 2688, 2009, 2003, 1037, 2688, 21358, 8873, 6894, 4383, 2007, 1996, 2120, 2688, 1012, 2045, 2024, 1996, 10801, 1997, 2116, 2590, 2111, 2040, 3555, 1037, 2173, 1999, 5137, 2381, 1012, 1998, 2045, 2024, 2036, 2070, 5265, 1997, 2111, 2040, 2020, 2590, 1999, 3522, 2627, 1012, 2144, 2045, 2020, 15576, 2043, 1045, 4716, 1996, 2688, 1010, 2116, 11726, 2020, 2701, 1012, 2551, 2847, 1024, 9857, 1516, 4465, 2184, 1024, 4002, 1011, 2459, 1024, 4002, 4211, 7408, 1024, 6036, 21877, 17063, 1006, 2489, 2076, 2238, 1007, 2043, 1045, 2234, 2000, 5137, 1010, 1996, 2034, 2173, 2008, 1045, 4716, 2001, 15544, 16739, 2380, 1012, 2045, 2024, 2025, 2172, 17935, 7368, 1999, 1996, 2380, 2029, 2038, 2042, 2328, 2006, 1037, 2312, 2492, 1012, 2941, 1045, 2001, 8074, 1037, 2062, 3376, 2380, 2077, 2026, 3942, 1012, 13718, 1010, 2009, 4487, 11488, 8400, 2098, 2033, 1012, 1996, 2380, 2003, 1037, 3116, 2391, 2005, 2116, 5137, 1999, 1996, 3944, 2335, 1012, 1996, 2171, 1997, 1996, 2380, 16896, 2013, 2852, 1012, 4560, 15544, 16739, 2040, 2318, 1996, 4336, 2645, 1999, 2344, 2000, 2131, 9436, 1997, 1996, 3009, 5701, 1012, 2017, 2089, 3942, 1996, 2822, 1998, 2887, 5822, 2096, 6828, 1996, 15544, 16739, 2380, 1012, 2822, 1998, 2887, 5822, 1996, 2024, 2822, 1998, 2887, 1011, 11773, 5822, 1999, 15544, 16739, 2380, 1012, 2045, 2024, 2070, 3628, 1998, 4264, 2716, 2013, 2900, 1998, 2859, 1012, 2017, 2064, 3942, 2045, 2005, 1037, 2460, 2717, 1999, 15544, 16739, 2380, 1012, 2551, 2847, 1024, 10126, 5641, 1024, 4002, 1011, 2324, 1024, 4002, 4211, 7408, 1024, 2184, 21877, 17063, 1045, 2134, 1521, 1056, 9544, 2000, 3942, 1037, 28617, 2688, 1999, 5003, 24498, 2072, 1012, 1999, 1996, 2688, 2008, 7460, 2000, 1996, 2372, 1997, 1037, 28617, 2155, 1010, 2028, 1997, 1996, 7272, 2945, 1999, 5137, 1010, 2045, 2024, 2116, 5265, 1010, 10801, 1998, 2944, 3719, 1012, 2017, 2064, 2036, 3942, 1996, 6023, 6670, 2379, 1996, 2688, 1012, 2551, 2847, 1024, 5641, 1024, 4002, 1011, 2324, 1024, 4002, 4211, 7408, 1024, 23285, 21877, 17063, 2009, 2003, 1037, 2430, 2173, 2029, 2017, 2064, 7180, 2007, 14007, 5420, 4089, 1012, 2017, 2064, 2156, 1996, 2304, 4441, 6743, 2074, 2379, 1996, 4211, 4796, 1997, 1996, 5040, 1012, 2429, 2000, 2026, 7802, 2767, 2040, 3065, 2033, 2105, 1010, 2116, 3719, 2020, 2746, 2000, 5137, 2044, 1996, 8993, 1997, 1996, 3470, 1012, 2028, 1997, 2216, 3719, 2318, 2000, 6402, 1999, 1996, 7440, 1012, 2028, 1997, 1996, 5167, 18340, 2094, 2013, 1996, 2911, 2001, 1037, 6743, 1997, 4441, 2029, 2357, 2046, 2304, 2349, 2000, 2543, 1012, 2750, 1045, 2134, 1521, 1056, 2424, 2009, 13359, 1010, 1996, 5137, 2903, 2000, 2023, 2466, 1012, 2023, 2003, 2028, 1997, 1996, 2087, 2590, 5040, 2015, 1999, 1996, 2103, 1012, 2017, 2323, 2022, 8059, 1997, 28647, 1010, 6546, 1998, 6331, 19041, 1998, 11693, 6843, 2015, 2012, 1996, 4211, 1997, 1996, 5040, 1012, 2009, 2003, 1037, 2173, 1999, 2029, 2017, 2064, 7409, 1996, 4507, 1997, 1996, 2406, 1012, 2009, 2003, 2428, 2485, 2000, 1996, 21864, 9331, 2080, 5040, 1012, 3585, 8806, 3138, 2049, 2171, 2013, 2049, 3585, 1011, 6910, 8514, 1012, 1996, 8806, 2001, 2288, 2318, 2000, 2022, 2328, 2011, 2280, 2034, 3203, 10047, 14273, 2050, 14810, 2006, 4343, 2257, 3299, 2005, 1996, 3942, 1997, 12917, 2343, 14163, 3286, 5017, 3449, 1011, 10556, 25062, 8873, 1012, 2021, 10556, 25062, 8873, 13261, 2010, 5137, 3942, 1012, 2009, 2747, 3957, 2326, 2000, 7486, 1999, 9011, 1012, 2296, 5958, 1010, 2045, 2003, 1037, 2451, 2008, 3774, 1997, 2055, 11910, 2111, 1012, 1996, 2111, 2542, 2379, 1996, 9587, 2015, 28940, 1998, 2087, 1997, 1996, 19041, 2024, 7486, 1012, 5137, 2003, 3243, 1037, 8554, 12926, 2406, 1012, 1045, 2052, 5987, 2008, 1996, 3182, 2379, 1996, 8806, 2003, 15708, 2121, 2021, 1045, 2572, 9364, 2055, 2008, 1012, 2009, 2428, 6314, 2033, 2008, 1996, 10971, 1999, 2029, 1996, 7486, 2444, 2003, 2061, 8554, 12926, 1012, 4769, 1024, 1043, 4135, 5092, 2139, 9413, 2080, 2358, 1010, 21864, 9331, 2080, 1010, 9011, 1010, 2531, 2487, 6005, 9011, 1010, 5137, 2004, 2116, 3182, 1999, 4021, 1010, 2045, 2003, 1037, 2822, 10971, 2036, 1999, 5137, 1012, 1996, 4211, 4796, 1997, 1996, 10971, 1999, 2029, 2116, 2822, 2111, 2444, 2003, 2428, 2200, 3835, 1012, 2009, 2036, 2089, 2022, 1037, 2173, 2000, 5510, 1996, 2822, 12278, 1012, 2045, 2003, 2036, 1037, 2822, 6670, 1012, 2065, 2017, 2069, 1016, 2030, 1017, 2420, 2005, 2115, 9011, 3942, 1010, 2009, 2052, 2022, 2438, 2000, 3942, 1996, 3182, 2008, 2024, 1999, 1996, 2862, 1012, 1999, 2026, 2279, 4790, 1010, 1045, 2097, 2425, 2017, 2062, 2055, 1996, 6023, 1010, 16222, 19506, 20207, 1010, 2833, 1004, 19645, 1998, 9152, 5603, 2166, 1999, 9011, 1012, 2017, 2064, 2036, 3191, 1996, 4790, 2055, 2060, 3470, 2008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2769, 5963, 11302, 1012, 1015, 2095, 1997, 2489, 14409, 1012, 2531, 2330, 3642, 2151, 7661, 3431, 2024, 2825, 1012, 4107, 2119, 3825, 1998, 2489, 3873, 4770, 9936, 1012, 2039, 2000, 3058, 6747, 1998, 2039, 2000, 2531, 2780, 2566, 4770, 1012, 2531, 2489, 6337, 8819, 1012, 2707, 2651, 2005, 2489, 1998, 3113, 2115, 3819, 2674, 3892, 1012, 2004, 1037, 2266, 2017, 2064, 3443, 2115, 3784, 5306, 6337, 1998, 3945, 2334, 1012, 3033, 2005, 2115, 5742, 4770, 11307, 1012, 3942, 12679, 19277, 1012, 4012, 2651, 2005, 2035, 1997, 2115, 4770, 4425, 3791, 1012, 2381, 1012, 1996, 5631, 1011, 27647, 2905, 3655, 2565, 2001, 2631, 1999, 3261, 2011, 1996, 5631, 1011, 27647, 2604, 1997, 2221, 12396, 1012, 1996, 2565, 2038, 2511, 2905, 3655, 1012, 3226, 1997, 6435, 1011, 2381, 1010, 2111, 1010, 5929, 1010, 7443, 1010, 2308, 1010, 9029, 1010, 2833, 1010, 8205, 1010, 2155, 13675, 1011, 11721, 5025, 4973, 1997, 2308, 1005, 1055, 2204, 1998, 2919, 3784, 5306, 17879, 1012, 3348, 6151, 1038, 25002, 2078, 10210, 4315, 11605, 2078, 10424, 13765, 16089, 2078, 1011, 3348, 23665, 1999, 4315, 5515, 22555, 2080, 5736, 20255, 2666, 1012, 12022, 2321, 1010, 2355, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 2009, 1005, 1055, 2042, 1037, 9484, 2733, 2005, 2047, 8958, 4748, 17070, 22895, 2072, 2013, 2350, 4827, 9639, 5709, 1024, 2184, 1012, 1055, 6460, 19658, 21183, 4372, 24888, 23111, 2063, 5053, 2108, 3107, 18681, 7939, 2358, 2953, 15315, 20009, 3549, 20704, 1999, 23896, 13970, 2243, 1012, 1017, 22777, 1025, 1054, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 1012, 6819, 2094, 2475, 2278, 22827, 2389, 3177, 5306, 1999, 3050, 3349, 1010, 6187, 2005, 2309, 8390, 1010, 5378, 1996, 2190, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 5306, 5306, 10409, 1042, 4747, 3351, 2184, 2038, 2000, 3749, 1012, 3113, 2039, 2000, 2321, 2474, 8040, 2953, 8197, 3695, 2074, 2066, 2017, 1999, 2028, 4569, 3944, 1012, 16233, 3436, 2171, 1024, 9152, 19510, 3270, 2197, 2489, 3042, 2240, 5306, 2578, 9033, 5802, 15222, 29539, 2099, 5907, 1024, 2931, 2287, 1024, 2570, 2086, 4676, 1024, 7560, 23143, 3570, 1024, 2309, 3058, 1997, 4182, 1024, 2385, 1012, 2826, 2653, 1024, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 1012, 3347, 7507, 5339, 1012, 5306, 4573, 1999, 7160, 2110, 2003, 1996, 2877, 10802, 1997, 26721, 10259, 4518, 1998, 21955, 2613, 1011, 2051, 17070, 12322, 2072, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 6093, 2007, 3928, 20390, 1998, 4087, 4106, 1012, 12826, 1996, 2190, 3784, 5306, 4573, 1998, 4060, 1996, 7812, 2028, 2005, 2017, 1024, 9201, 6711, 1010, 2674, 1010, 15501, 27292, 16585, 1010, 2030, 2151, 2060, 2759, 5306, 2609, 1012, 3432, 5454, 23713, 1025, 2707, 5306, 1012, 4808, 2114, 2308, 2950, 5306, 4808, 1010, 6422, 6905, 1010, 20070, 1010, 16011, 1010, 8040, 2953, 24759, 2080, 6832, 1010, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 1010, 3361, 1998, 12064, 6905, 1010, 1998, 2062, 1012, 2899, 2110, 5306, 4277, 12473, 11690, 1010, 5637, 1010, 26555, 5306, 4037, 1010, 1998, 16824, 2111, 8137, 6551, 2011, 2406, 2030, 3700, 1011, 2673, 2013, 3423, 5038, 1997, 2168, 1011, 3348, 3510, 2030, 2060, 1012, 12022, 2423, 1010, 2325, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 1999, 1996, 5691, 1010, 6529, 2224, 6351, 5306, 2000, 5646, 1996, 2287, 1997, 3418, 10471, 1998, 15799, 5944, 1012, 2021, 2054, 2003, 1996, 2613, 2671, 2369, 6351, 1012, 4688, 2064, 2411, 2022, 11156, 1999, 2303, 2653, 1012, 4688, 2003, 2691, 1999, 20661, 1010, 5306, 1998, 6550, 1012, 4553, 2062, 2055, 4688, 1998, 2303, 2653, 1010, 4682, 10788, 1010, 1998, 1012, 3679, 3259, 1012, 2334, 1010, 2110, 1010, 1998, 7318, 2739, 1998, 8570, 1012, 6302, 11726, 1010, 2449, 1998, 27885, 4183, 22579, 1012, 3967, 2149, 1012, 2590, 1024, 2823, 8040, 3286, 16862, 2097, 3443, 8275, 7929, 15569, 3593, 8013, 2326, 3042, 3616, 1012, 2079, 2025, 2655, 2122, 3616, 1529, 2511, 1999, 3172, 1010, 1996, 4958, 9463, 18075, 3192, 3146, 1011, 5395, 9305, 8523, 1011, 3481, 4276, 19650, 3146, 1006, 1041, 6199, 2595, 1007, 3640, 1037, 2193, 1997, 3454, 1998, 2578, 1010, 2164, 1996, 2206, 1024, 15501, 27292, 16585, 1011, 1037, 9480, 3784, 5306, 2609, 2005, 3895, 1012, 15501, 27292, 16585, 2003, 1996, 2034, 2326, 2306, 1996, 3784, 5306, 3068, 2000, 2224, 1037, 4045, 3921, 2000, 9844, 3811, 1012, 2074, 1996, 2327, 11503, 4573, 1012, 2043, 2017, 1005, 2128, 2309, 1998, 2025, 3201, 2005, 1037, 3276, 1010, 2017, 2453, 2215, 2000, 8526, 1999, 10017, 3348, 1998, 8103, 22264, 1012, 2087, 10017, 3348, 2030, 2814, 2007, 6666, 6550, 2024, 1012, 2017, 2559, 2005, 10275, 2308, 16216, 1010, 1999, 2072, 5306, 2030, 3510, 1012, 2424, 2041, 2037, 6459, 2000, 2156, 2065, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 2191, 2204, 2564, 1012, 1998, 2190, 3182, 2000, 3113, 2309, 10882, 15000, 3981, 3057, 1012, 2004, 2860, 2497, 6194, 2591, 2147, 6105, 5097, 2005, 4404, 1010, 2004, 2092, 2004, 2591, 2147, 6105, 11360, 3653, 29098, 12298, 9777, 2005, 5169, 1998, 6646, 1012, 2115, 28501, 3696, 2003, 2241, 2006, 2115, 4182, 3058, 1998, 2051, 1997, 4182, 1012, 2023, 2003, 1037, 4182, 28501, 3696, 10250, 19879, 4263, 2029, 2097, 2393, 2115, 2424, 2115, 28501, 20116, 2953, 22071, 1012, 2116, 17258, 2015, 4773, 28727, 2015, 2678, 7534, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 3814, 2232, 1035, 6506, 2638, 1999, 23817, 8462, 2007, 1016, 12358, 1998, 1018, 13988, 19040, 2015, 4701, 1010, 2066, 6435, 1010, 7010, 14540, 2923, 11333, 3597, 5306, 1010, 1998, 5120, 2038, 2019, 3784, 5306, 3006, 6817, 2011, 1037, 3232, 1997, 11744, 2008, 2031, 1037, 2843, 1997, 26718, 8113, 2290, 1012, 1996, 2190, 3784, 5306, 4573, 1999, 1012, 1037, 7704, 2275, 1997, 25812, 2015, 1010, 2021, 2130, 2122, 2064, 2393, 2007, 5306, 1012, 4703, 7172, 2796, 3348, 9927, 2008, 8466, 2069, 2613, 2796, 3348, 4573, 2007, 6851, 5790, 1012, 7167, 20118, 2386, 2829, 3096, 3389, 7367, 5575, 21025, 5306, 2013, 14263, 5244, 1999, 11576, 2100, 2678, 1998, 6302, 1012, 2053, 1010, 1045, 2123, 1005, 1056, 2215, 2000, 2022, 2115, 2767, 2044, 2057, 1005, 2310, 3714, 2039, 1012, 3531, 2681, 2033, 2894, 1012, 24098, 11890, 6902, 1024, 24185, 2863, 2319, 1010, 2322, 2095, 2214, 2308, 2024, 5186, 17733, 2011, 2753, 2095, 2214, 2273, 1012, 1996, 2322, 1011, 2242, 2015, 2017, 6052, 2593, 2359, 2115, 2769, 2030, 1529, 5306, 2845, 2308, 8959, 2015, 1010, 2296, 2154, 1037, 2047, 3167, 2015, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 1999, 1996, 5653, 2344, 12105, 1005, 1055, 2845, 8959, 2015, 2252, 1012, 2613, 2845, 5969, 2308, 8959, 2015, 6224, 2273, 1529, 12170, 25526, 2063, 2489, 24751, 23713, 1025, 11091, 9338, 1011, 18619, 1010, 8040, 2953, 2361, 5558, 1010, 3190, 1010, 5765, 1999, 5446, 1010, 1037, 3097, 3863, 5724, 1006, 4141, 12641, 2000, 2074, 23292, 5724, 2030, 9598, 5724, 1007, 28177, 25300, 1037, 13819, 3361, 6602, 2008, 3957, 1996, 2157, 2021, 2025, 1996, 1012, 2129, 2000, 2131, 1996, 3819, 10113, 1005, 1055, 5592, 2005, 2115, 6898, 1012, 9343, 7534, 2064, 2022, 2524, 1012, 9343, 7534, 2005, 2115, 6898, 2064, 2022, 2130, 6211, 1012, 2273, 2064, 2022, 11757, 1012, 9388, 5511, 1010, 2325, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 8299, 1024, 7479, 1012, 19010, 10024, 2094, 1012, 4012, 1011, 1011, 2129, 2000, 8954, 2115, 4654, 2013, 2037, 2047, 6898, 2030, 6513, 1006, 13583, 2100, 12225, 3936, 1007, 2057, 3726, 2035, 2042, 2045, 2077, 1529, 2017, 1012, 6930, 1005, 1055, 2190, 2489, 5306, 2609, 1012, 2531, 2489, 3784, 5306, 2005, 5306, 1999, 2796, 3895, 2012, 21183, 5555, 5306, 1012, 4012, 1012, 2256, 2489, 3167, 14997, 2024, 2440, 1997, 2309, 2308, 1998, 2273, 1999, 6930, 1012, 5075, 2003, 1037, 2204, 2051, 2000, 14358, 2054, 2003, 2590, 1999, 2256, 3268, 1012, 2011, 7995, 2006, 2256, 18402, 1998, 12482, 6026, 1999, 5075, 1010, 2057, 2064, 2191, 2686, 2005, 1996, 2477, 2008, 1012, 1999, 1996, 5256, 1997, 13648, 1999, 20740, 18605, 1010, 3500, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 1996, 2154, 2075, 2283, 2000, 6987, 2037, 24665, 2666, 26711, 2000, 2037, 4256, 2011, 2396, 2594, 10924, 2019, 4895, 27694, 2075, 1998, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 6315, 1012, 2273, 1005, 1055, 6322, 2007, 3376, 2148, 2137, 2308, 1012, 3763, 2308, 2013, 2148, 24185, 2213, 2078, 2007, 5300, 1998, 25288, 1012, 2023, 2003, 1037, 2862, 1997, 2350, 3161, 2822, 3177, 5306, 6930, 14048, 11744, 1998, 23329, 2015, 5306, 11744, 1006, 2156, 7831, 1997, 3784, 5306, 11744, 1007, 1012, 2005, 11984, 2591, 14048, 1012, 12170, 25526, 2063, 2489, 24751, 23713, 1025, 11091, 9338, 1011, 18619, 1010, 9706, 2050, 1010, 3190, 1010, 5765, 1996, 2373, 8400, 6904, 4160, 2609, 1011, 2373, 8400, 2393, 1010, 20385, 1998, 2129, 1011, 2000, 2015, 1010, 2373, 8400, 6998, 1010, 5587, 1011, 16021, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 8456, 1010, 2373, 8400, 10247, 1010, 12225, 1998, 6971, 2000, 2060, 2373, 8400, 1529, 4463, 15966, 6528, 2418, 2447, 6337, 1010, 2208, 8833, 1010, 2161, 26319, 1010, 2476, 26319, 1010, 3522, 2739, 2065, 2017, 2377, 5913, 2998, 1010, 2131, 4911, 2739, 1998, 10047, 16862, 2063, 4426, 1999, 1996, 7209, 1012, 26317, 2131, 1037, 2919, 9680, 1012, 2182, 2024, 2184, 17218, 2055, 5306, 2214, 2308, 2008, 2024, 2035, 2205, 2691, 1006, 1998, 2342, 2000, 2022, 2139, 8569, 8950, 2098, 1007, 1012, 2023, 2003, 2129, 3972, 20624, 3070, 2026, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 18726, 2081, 2033, 1037, 2488, 3784, 3058, 2099, 1999, 1996, 2146, 2448, 1012, 3796, 4806, 1010, 23755, 2378, 2615, 1012, 1006, 4647, 2072, 1007, 2003, 1037, 11176, 1011, 2095, 1011, 2214, 9139, 2218, 24908, 2865, 3173, 8040, 2953, 14536, 3695, 9403, 1999, 13163, 1010, 2821, 1012, 2009, 2038, 3078, 3136, 1999, 1012, 1045, 2342, 1037, 2210, 2393, 27930, 1037, 2980, 14366, 1012, 7929, 15569, 3593, 2003, 1996, 2069, 5306, 10439, 2008, 4282, 2115, 2063, 2062, 9415, 2084, 2074, 1037, 2969, 2666, 1011, 1998, 2049, 2489, 1012, 8816, 2009, 2651, 2000, 2191, 15902, 7264, 2007, 2613, 2111, 1012, 5306, 2003, 1037, 4990, 1012, 2182, 2003, 2070, 6739, 18012, 2006, 2129, 2000, 2994, 9657, 2043, 5306, 1010, 1998, 2129, 2000, 2131, 1037, 2117, 3058, 2007, 1037, 2158, 2062, 2411, 1012, 2484, 3178, 2980, 4179, 1024, 1006, 23688, 1007, 6109, 2683, 1011, 23532, 2475, 28879, 3723, 19555, 2015, 2800, 2588, 5227, 6905, 17041, 1998, 3949, 1010, 4297, 1012, 2097, 2025, 5860, 20026, 14776, 2114, 2151, 3265, 2006, 4070, 1012, 3017, 3895, 2824, 1010, 3450, 1010, 2967, 1999, 3516, 1006, 13109, 1007, 2005, 7881, 1010, 6331, 2817, 1010, 2591, 6026, 1012, 2036, 3017, 3895, 9281, 1010, 7822, 2015, 1010, 23986, 1010, 10885, 2015, 1012, 20704, 15928, 12716, 2050, 2474, 5737, 10177, 1006, 1149, 11816, 1025, 1058, 1054, 1119, 1048, 1048, 1114, 1149, 1058, 1045, 23432, 1050, 1025, 2413, 1024, 1031, 20704, 29694, 4014, 2474, 5737, 29689, 1033, 1025, 2141, 2676, 2244, 3118, 1007, 2003, 1037, 3010, 3220, 1011, 6009, 1998, 3883, 1012, 2011, 1996, 2287, 1997, 1012, 19802, 2676, 1010, 2418, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 1037, 15034, 2758, 18726, 2066, 9543, 4063, 1998, 26352, 3468, 2031, 2468, 1996, 2069, 5306, 2578, 4276, 2115, 2051, 14036, 2115, 4845, 2003, 17319, 1037, 3697, 4708, 1012, 2065, 2017, 2215, 2000, 2562, 2032, 4548, 2059, 2057, 2507, 2068, 2122, 2321, 4569, 2489, 6140, 3085, 6583, 22134, 2080, 22276, 5530, 1012, 19804, 2403, 1010, 2263, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 1045, 2288, 1996, 8103, 2039, 2003, 1996, 6050, 2013, 1996, 2687, 2143, 1045, 2288, 1996, 8103, 2039, 26684, 18447, 14428, 2932, 9319, 1996, 2087, 3143, 2862, 2800, 2006, 1996, 4274, 1997, 1996, 14751, 26684, 2501, 4520, 2013, 2105, 1996, 2088, 1012, 2093, 4397, 14805, 22651, 1998, 26232, 4042, 2011, 1996, 2307, 8283, 7490, 2024, 23222, 8993, 2015, 1997, 2019, 10709, 4166, 4432, 3097, 6456, 3784, 5306, 2326, 16997, 1999, 2845, 1010, 3763, 1010, 1998, 4004, 2308, 1012, 2308, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 2017, 2006, 1996, 3097, 27266, 3111, 1012, 4012, 5306, 2609, 1998, 11913, 2024, 2489, 19412, 2290, 3784, 4024, 2739, 1010, 24173, 11637, 1010, 2611, 3784, 5306, 2609, 13761, 1010, 10031, 2189, 5306, 2679, 1010, 3324, 1010, 7760, 7010, 14540, 2923, 8103, 6279, 9820, 2248, 2154, 2075, 2739, 1012, 1996, 8655, 6843, 2155, 5306, 1011, 3374, 1010, 2457, 2075, 1011, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 2031, 2042, 21424, 2450, 5306, 1037, 8040, 2953, 22071, 2158, 8832, 1012, 2021, 1996, 11594, 2005, 2037, 19169, 1011, 4603, 1010, 3412, 9580, 7949, 2092, 3458, 2008, 1012, 1045, 2572, 2069, 5790, 2023, 2028, 2732, 24185, 3286, 2078, 2008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4720, 2477, 1045, 2293, 2055, 2017, 2001, 2081, 2005, 2026, 6898, 1012, 2049, 2019, 7812, 5592, 2005, 10113, 2015, 1010, 5798, 1010, 5315, 1010, 4234, 1010, 5030, 1010, 2030, 2074, 2138, 1529, 2021, 7539, 1997, 1996, 1044, 18863, 1998, 8277, 1010, 2009, 2003, 1997, 2607, 1996, 2613, 2088, 2224, 2005, 17008, 2008, 5609, 1996, 2087, 1012, 15798, 1045, 2031, 2042, 2583, 2000, 5247, 1996, 2197, 2093, 2706, 2007, 1037, 2327, 2203, 5796, 3302, 2338, 1006, 1045, 2581, 1010, 2385, 18259, 1997, 8223, 1059, 3156, 18259, 7020, 2094, 3176, 1050, 17258, 2401, 14246, 2226, 1007, 1010, 5128, 2009, 2000, 1996, 3231, 1998, 3773, 2054, 2009, 2003, 5621, 5214, 1997, 2004, 1045, 2202, 2009, 2006, 1529, 14753, 23099, 2099, 1010, 1058, 21926, 2509, 1025, 7632, 21225, 1024, 25525, 22394, 1025, 25957, 2063, 1017, 4403, 1016, 1015, 1012, 1020, 16409, 2072, 7558, 3207, 14289, 2483, 4372, 21663, 2239, 1015, 25175, 2015, 1010, 5003, 29536, 4183, 5397, 26208, 2102, 4895, 22115, 1025, 25283, 3351, 7987, 14663, 2139, 2061, 16093, 21031, 19711, 1025, 1048, 1005, 16222, 21926, 2509, 1025, 1048, 21926, 2509, 1025, 6463, 2078, 1012, 15333, 18952, 2015, 10861, 1039, 1005, 9765, 3393, 7987, 14663, 2053, 2474, 8840, 2072, 23151, 21926, 2487, 1025, 9932, 3366, 17607, 16655, 2755, 5397, 23746, 2278, 4297, 7630, 4630, 2000, 4904, 4649, 25312, 2483, 1012, 9033, 29536, 2271, 13642, 2480, 1054, 21926, 2509, 1025, 1043, 2140, 21926, 2509, 1025, 8292, 2015, 25312, 2483, 2139, 1055, 21926, 2509, 1025, 8183, 9236, 3802, 24209, 1005, 6335, 2015, 22115, 1025, 13843, 4765, 4297, 7393, 18033, 2474, 2755, 5397, 1010, 29536, 7913, 2287, 5897, 2139, 8774, 1037, 6149, 13665, 26208, 2102, 2365, 19817, 12462, 4014, 3802, 1039, 1005, 9765, 1048, 21926, 2509, 1025, 14891, 1012, 8074, 3423, 2158, 7265, 3489, 11662, 12219, 18746, 2015, 2000, 2855, 26191, 2489, 19832, 2039, 1999, 5334, 1012, 2123, 2102, 6655, 2006, 2009, 1012, 2006, 11721, 26291, 2545, 3291, 2007, 2308, 1037, 2280, 3095, 3213, 5577, 2129, 1037, 2865, 2194, 2631, 2006, 26191, 2489, 19832, 1998, 7490, 16987, 1529, 26191, 2489, 19832, 11382, 3367, 1010, 2139, 20267, 1010, 2522, 28550, 3600, 1010, 2214, 7292, 2099, 10313, 5484, 1010, 17178, 9270, 1010, 2002, 2546, 8915, 12849, 7361, 1010, 6728, 4059, 14270, 2102, 29536, 2953, 1999, 2139, 2002, 19699, 7033, 3436, 3158, 2139, 10313, 5484, 2777, 9779, 25311, 25121, 26191, 2489, 19832, 1012, 2801, 2389, 29536, 2953, 11756, 5339, 11663, 2102, 2214, 7292, 2099, 10313, 5484, 1012, 3193, 1998, 8816, 18798, 16059, 19652, 2683, 2581, 10841, 5310, 26191, 2489, 19832, 3784, 1012, 5310, 6410, 1012, 19652, 2683, 2581, 10841, 12191, 11135, 6410, 8816, 1012, 26191, 2489, 19832, 2005, 1024, 2228, 15455, 5187, 2629, 1010, 1529, 22975, 2102, 2053, 1012, 4696, 1011, 2465, 3295, 2843, 2181, 2723, 2181, 1006, 5490, 2213, 1007, 26191, 2489, 19832, 1006, 25718, 1007, 8816, 3463, 6747, 1024, 3692, 1012, 1042, 2290, 3027, 22531, 1012, 9706, 2290, 1012, 4903, 2290, 1012, 3411, 1011, 5824, 5298, 2110, 1012, 2106, 2025, 2377, 2187, 2082, 1012, 3285, 1011, 6421, 26191, 2489, 19832, 2267, 1012, 2106, 2025, 2377, 1012, 3381, 1011, 6356, 2053, 1529, 2190, 2613, 2769, 19832, 2005, 18059, 2124, 2004, 1005, 1996, 2088, 1997, 7691, 1005, 6907, 1024, 3267, 4516, 1024, 2580, 2011, 1024, 26191, 2489, 19832, 2547, 1024, 17356, 2011, 1024, 2536, 1024, 2406, 1997, 4761, 1024, 2142, 2983, 1024, 2053, 1012, 1997, 4178, 7706, 2537, 1012, 1045, 1005, 1049, 3241, 1045, 2071, 6039, 3269, 2545, 2105, 1996, 5877, 2181, 2007, 22529, 16360, 14774, 3372, 4264, 1011, 21529, 2005, 2166, 1012, 2424, 2023, 9231, 1998, 2062, 2006, 2235, 3871, 23713, 1025, 10119, 4784, 1529, 19802, 5709, 1010, 2286, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 2054, 2079, 15481, 9275, 1010, 1996, 9486, 9270, 7001, 1010, 14901, 1020, 1998, 1996, 4189, 9629, 2624, 3799, 2031, 1999, 2691, 1012, 2027, 2890, 2035, 3079, 2011, 2797, 10067, 9786, 1012, 1996, 21155, 2094, 4965, 5833, 3068, 2064, 2102, 4025, 2000, 2131, 2438, 1997, 1996, 19188, 26859, 3068, 13868, 2058, 1018, 1010, 6352, 9275, 1998, 16511, 2144, 2456, 2007, 1037, 2561, 1012, 1999, 2262, 1010, 11245, 1012, 4713, 4663, 1037, 6105, 2000, 4942, 3775, 9286, 11087, 2698, 1999, 2394, 1010, 1998, 2207, 2009, 2005, 5096, 2006, 2037, 4037, 2004, 1037, 3558, 27554, 3729, 2275, 1010, 2029, 2003, 2069, 2800, 2005, 7829, 2306, 1996, 2149, 1998, 2710, 1012, 3980, 2055, 1996, 2733, 1999, 2694, 1010, 2164, 22035, 2102, 1025, 2041, 22691, 1010, 22035, 2102, 1025, 22035, 2102, 1025, 1996, 4654, 2953, 22987, 2102, 1010, 22035, 2102, 1025, 22035, 2102, 1025, 3565, 15239, 1010, 22035, 2102, 1025, 22035, 2102, 1025, 4462, 1005, 1055, 13336, 1010, 22035, 2102, 1025, 22035, 2102, 1025, 2402, 19369, 28940, 4140, 1025, 1998, 2062, 3819, 2075, 1998, 2652, 2007, 8223, 9521, 2361, 2417, 1010, 1037, 2732, 12972, 26393, 1012, 4012, 19492, 1025, 12882, 3720, 1010, 2517, 2011, 14926, 5953, 1010, 2405, 2006, 3770, 23632, 2581, 1012, 6583, 22134, 2080, 1024, 8364, 1997, 1996, 19367, 5289, 1012, 8768, 5860, 19771, 5017, 1024, 1045, 2079, 2025, 2219, 6583, 22134, 2080, 2030, 2702, 3501, 6806, 2702, 3351, 1012, 2013, 1996, 20783, 5869, 7136, 9275, 2066, 26191, 2489, 19832, 2358, 8609, 25444, 2006, 1996, 5869, 7136, 6167, 2000, 1996, 2307, 5869, 7136, 3065, 1010, 2045, 1005, 1055, 7564, 10392, 2477, 2000, 2079, 1999, 7136, 1012, 2474, 25222, 11266, 2050, 9026, 20666, 1025, 4289, 2050, 17488, 11655, 14693, 2080, 4487, 8254, 2923, 2527, 3972, 10882, 17897, 1010, 3968, 20666, 1025, 23647, 12800, 2676, 2777, 3089, 1024, 14477, 24121, 13433, 5403, 25222, 16280, 1037, 19817, 7103, 2869, 2072, 11265, 2140, 18120, 2358, 29180, 2080, 4487, 14477, 25022, 4779, 19317, 2549, 1012, 2160, 3208, 1012, 12784, 1051, 5280, 9091, 1012, 1042, 7716, 9289, 26010, 11148, 20464, 12083, 1012, 4012, 1012, 6185, 2692, 6421, 22394, 6584, 24594, 1012, 2055, 10424, 9910, 12784, 2587, 1996, 2252, 1999, 2263, 2206, 2019, 1022, 2095, 12116, 2007, 24665, 2891, 26806, 27300, 1999, 2414, 2073, 2002, 4738, 2004, 1037, 13675, 7140, 14756, 2099, 1998, 1037, 5356, 3771, 2077, 3048, 2304, 23092, 1017, 2465, 19832, 1996, 15961, 2217, 1997, 1996, 9270, 2449, 1012, 2089, 2484, 1010, 2760, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 2338, 2115, 9735, 3784, 2005, 5003, 13344, 26191, 2489, 19832, 1010, 12731, 22648, 7113, 1024, 2156, 5986, 2575, 4391, 1010, 4790, 1010, 1998, 6146, 2487, 7760, 1997, 5003, 13344, 3509, 1010, 4396, 2053, 1012, 3590, 2006, 4440, 4215, 11365, 2953, 2426, 16666, 13051, 1999, 12731, 22648, 7113, 1012, 14736, 8202, 26191, 2489, 19832, 1010, 5984, 19534, 10104, 3072, 1012, 15544, 2226, 5003, 13344, 3309, 2284, 1999, 5984, 19534, 1010, 28946, 2275, 2006, 1996, 12047, 14736, 8202, 3016, 3509, 1012, 2023, 6429, 7001, 2097, 16959, 2017, 2007, 10424, 12879, 3450, 1998, 4024, 5129, 2011, 1996, 11813, 3019, 5053, 1997, 2023, 26191, 2489, 19832, 1012, 21770, 19817, 6279, 4818, 7601, 5622, 13512, 9358, 2527, 2389, 6728, 21770, 1041, 11733, 4859, 1010, 1062, 2239, 2184, 7221, 6962, 2015, 3158, 5003, 13344, 3509, 4372, 2321, 3371, 2078, 3158, 18811, 16917, 1012, 21770, 2058, 24463, 2618, 16837, 2884, 13013, 6824, 16950, 17339, 5339, 20023, 5622, 13512, 6728, 7077, 10354, 21515, 1012, 21770, 19817, 6279, 4818, 7601, 18235, 6199, 26191, 2489, 19832, 3158, 2139, 2190, 2063, 13052, 6962, 2063, 7884, 4372, 25212, 2078, 9587, 10448, 1062, 8545, 11201, 2094, 1012, 2167, 2624, 5277, 2221, 3153, 8220, 6134, 1997, 3153, 4280, 3153, 7899, 1010, 3153, 8220, 1998, 3153, 4280, 2005, 14307, 1010, 3763, 1010, 7370, 3232, 5613, 2012, 3153, 2167, 2221, 1997, 2624, 5277, 2221, 1010, 6187, 1024, 3529, 4372, 27085, 10230, 1010, 17401, 5178, 1010, 5529, 19022, 4215, 1010, 18123, 4203, 10768, 1010, 2474, 6849, 1010, 10149, 1010, 13005, 1010, 2624, 14810, 1010, 3972, 9388, 1010, 3393, 18100, 9032, 1010, 9686, 8663, 4305, 3527, 1010, 14017, 5162, 3509, 1012, 6160, 2000, 10434, 7001, 12745, 10231, 2015, 2795, 3488, 2188, 23713, 1025, 27634, 2380, 2073, 1996, 4583, 2095, 4606, 2451, 25220, 2015, 1012, 3649, 2115, 3791, 2057, 2024, 2182, 2000, 3710, 2017, 1025, 2057, 2031, 4684, 5014, 1010, 9620, 1010, 4684, 2188, 7167, 1010, 1998, 27634, 7258, 2800, 2005, 26707, 1012, 2089, 2603, 1010, 2760, 1011, 3193, 1996, 2190, 13539, 10885, 12635, 2015, 2007, 7597, 26191, 2489, 19832, 2358, 1012, 18733, 2007, 4440, 4215, 11365, 2953, 1005, 1055, 6584, 2581, 4895, 11607, 6924, 4391, 2005, 1037, 2307, 3066, 26191, 2489, 19832, 27317, 1999, 1529, 1059, 28793, 11662, 24665, 10450, 2015, 2030, 21926, 2581, 1025, 9165, 26191, 2489, 19832, 2365, 9642, 2080, 1010, 4166, 1010, 2365, 18318, 27819, 1010, 4166, 17694, 10841, 8193, 2080, 1010, 9270, 27634, 2188, 15058, 1010, 19739, 5400, 7507, 1010, 5003, 13344, 1010, 14397, 18003, 2050, 1010, 19379, 3676, 1010, 19739, 13006, 7895, 1010, 8945, 3917, 2080, 1010, 8945, 3917, 2080, 1529, 2115, 6023, 5609, 1012, 2023, 10756, 2154, 1010, 4497, 2005, 3566, 2012, 9733, 6491, 9463, 1998, 9733, 21357, 2015, 2000, 1996, 2120, 14234, 3192, 1997, 5773, 1010, 4297, 1012, 6160, 2000, 1996, 16864, 23713, 1025, 12170, 4135, 9048, 2930, 1997, 1996, 2103, 2015, 4773, 2609, 1012, 2057, 3726, 2580, 2023, 2181, 2000, 3710, 2004, 2115, 15315, 12868, 2005, 4040, 10453, 2480, 2592, 1010, 1998, 2000, 3073, 1037, 13398, 2005, 2116, 5919, 1997, 2256, 2695, 1011, 16864, 2166, 2182, 1999, 12170, 4135, 9048, 1012, 9388, 2654, 1010, 2760, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 2085, 4090, 1006, 2001, 2753, 1007, 1012, 2327, 19870, 1024, 1015, 2489, 15536, 8873, 18677, 1025, 1016, 4825, 18677, 1025, 1017, 2282, 2326, 18677, 1025, 1018, 9530, 19562, 3351, 18677, 1025, 1019, 2250, 14372, 1012, 12211, 2386, 3309, 1012, 12826, 2007, 2060, 2190, 3643, 25307, 2361, 1025, 18667, 7601, 2015, 1999, 9011, 1012, 1015, 2546, 1044, 26139, 2102, 3309, 23713, 1025, 9270, 17696, 2620, 1049, 1012, 3972, 14255, 8017, 2522, 2099, 1012, 7707, 13097, 2358, 1012, 28935, 2618, 1010, 9011, 1010, 28712, 12868, 2534, 2080, 2534, 2080, 3604, 4297, 1012, 21469, 12868, 19804, 2184, 1010, 7221, 11649, 23897, 6932, 2017, 2000, 5247, 12715, 7077, 2075, 2083, 1037, 2309, 2154, 2175, 1010, 1996, 7916, 12077, 2229, 23824, 4028, 6547, 2275, 1999, 1037, 3376, 7788, 7330, 7221, 4160, 11649, 1037, 27148, 4569, 2028, 1012, 2474, 11329, 17190, 2080, 15033, 8300, 3619, 1999, 1037, 7330, 2073, 6368, 2024, 2108, 7129, 2058, 1998, 2058, 1999, 2019, 10866, 1010, 2309, 1011, 2154, 7221, 6962, 2050, 1010, 1998, 21461, 4402, 2002, 1012, 2338, 2085, 2012, 12101, 23413, 2012, 1996, 7330, 1999, 11374, 9769, 2063, 1010, 6643, 1012, 8849, 12183, 1010, 2156, 7760, 1998, 3191, 5264, 2319, 2439, 2769, 1999, 9270, 4391, 1024, 22035, 2102, 1025, 7564, 1997, 7047, 2005, 7987, 4609, 2818, 1012, 2627, 5134, 20229, 2081, 10453, 3215, 12090, 1012, 2089, 6021, 1010, 2760, 27698, 13102, 1025, 5890, 2620, 2509, 1025, 3590, 1025, 1061, 29097, 2546, 1011, 2609, 29443, 1011, 26191, 2489, 19832, 3143, 2609, 29443, 3397, 2035, 16471, 1006, 1016, 2047, 1007, 5888, 1999, 2152, 3737, 2653, 1024, 2394, 7172, 1024, 2089, 2760, 5673, 11662, 2778, 10651, 1024, 2251, 2760, 5530, 1024, 11176, 2581, 2581, 1006, 10894, 2047, 3931, 1007, 2188, 2003, 26191, 2489, 19832, 2256, 2540, 2003, 1012, 2122, 4871, 1010, 2036, 2124, 2004, 12849, 23597, 5312, 2024, 1996, 3924, 2008, 2197, 5091, 2138, 2027, 2265, 1996, 4507, 1998, 2025, 2242, 2008, 2003, 2081, 2039, 2074, 2000, 2298, 2204, 1012, 26235, 4518, 5855, 1010, 2640, 1998, 8021, 2326, 2005, 2440, 3609, 2449, 5329, 1998, 2695, 17965, 1010, 12348, 6302, 14806, 5329, 1010, 2724, 5855, 1998, 7436, 2015, 3653, 1011, 2724, 6325, 1010, 12330, 1005, 15430, 14229, 23528, 2063, 1010, 2449, 2436, 3208, 1997, 2300, 25313, 2697, 2512, 2050, 1010, 2018, 1037, 4432, 2000, 5914, 2014, 2540, 26675, 2293, 2005, 15995, 2007, 2014, 6896, 2005, 5855, 1012, 14229, 16164, 2169, 6319, 2000, 13398, 2037, 3265, 6180, 1012, 2045, 2020, 2053, 22559, 1010, 2053, 13204, 2015, 1010, 1998, 2053, 7722, 7286, 15885, 1010, 2074, 1996, 1012, 2090, 1996, 2034, 1998, 2117, 4693, 10705, 1010, 1996, 17136, 2015, 4055, 2046, 2019, 6244, 17831, 10667, 3286, 20709, 1006, 22035, 2102, 1025, 3712, 20464, 4215, 28940, 4140, 1025, 1007, 1999, 2029, 8771, 3555, 29235, 2000, 24404, 24093, 1005, 1055, 4695, 2011, 2183, 2302, 4253, 1010, 1998, 1996, 14021, 19510, 3286, 20709, 1006, 22035, 2102, 1025, 2317, 20464, 4215, 28940, 4140, 1025, 1007, 17831, 1012, 3155, 2176, 2454, 17136, 2015, 3218, 1996, 4676, 4969, 1010, 1998, 2590, 3182, 1997, 14741, 1529, 1996, 3125, 1997, 2087, 13066, 2043, 2027, 2707, 6202, 12441, 7047, 2003, 2000, 2468, 3144, 1999, 1996, 3119, 1998, 5618, 14678, 2013, 1996, 12441, 7047, 14279, 2027, 2330, 2006, 1996, 4132, 2027, 2024, 2478, 1012, 2679, 27953, 23274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4575, 21360, 1064, 1030, 3283, 6935, 5244, 1999, 2137, 4331, 1010, 2057, 2411, 2156, 1996, 6942, 2090, 3769, 15859, 6491, 1998, 12005, 17456, 1012, 1999, 1996, 13678, 1010, 2005, 2742, 1010, 1996, 2111, 1521, 1055, 2283, 2165, 1996, 3842, 2011, 4040, 1012, 2116, 1997, 2037, 6043, 1010, 2013, 1996, 3622, 2602, 1997, 10153, 2000, 1037, 7820, 2147, 28075, 1010, 2776, 2253, 2046, 3466, 1012, 2025, 2146, 2044, 1010, 23954, 4267, 2234, 2046, 2436, 1012, 2012, 2023, 2391, 1010, 1996, 28300, 1997, 4331, 7671, 2646, 12005, 17456, 1010, 2007, 24501, 13910, 2890, 12540, 1998, 4267, 1521, 1055, 2219, 7729, 1997, 19113, 2206, 1059, 9148, 2635, 1037, 2907, 1012, 2021, 1997, 2607, 1010, 2054, 18755, 1999, 2028, 3257, 2442, 2272, 2067, 1012, 1996, 12584, 3690, 2387, 1037, 4248, 10245, 2067, 2000, 3769, 15859, 6491, 1010, 2295, 2023, 2051, 1010, 2009, 2001, 1997, 1996, 2157, 3358, 1012, 11274, 3779, 1998, 11296, 2628, 4848, 1012, 1037, 2261, 5109, 2101, 1010, 1996, 3579, 5429, 2067, 2000, 1996, 7069, 1999, 1996, 5747, 1013, 7207, 3690, 1012, 2085, 1010, 6221, 8398, 1998, 15941, 12055, 2031, 5853, 17572, 1996, 3769, 15859, 3367, 17748, 2015, 1997, 2119, 3903, 1012, 2066, 2187, 1998, 2157, 1010, 3769, 15859, 6491, 1998, 12005, 17456, 2448, 1010, 2467, 4941, 1998, 2196, 1999, 2491, 2005, 2205, 2146, 1012, 2021, 2079, 2593, 1997, 2068, 2031, 2151, 22617, 1029, 12005, 17456, 1024, 1996, 7209, 18503, 1037, 2291, 2008, 6078, 12005, 17456, 2038, 1037, 7199, 2235, 2193, 1997, 2111, 2437, 2087, 1997, 1996, 6567, 1012, 1999, 1037, 3168, 1010, 2009, 6083, 2008, 2111, 2024, 2025, 7919, 6055, 2000, 5630, 2116, 2477, 2005, 3209, 1012, 2612, 1010, 2216, 2040, 2024, 2087, 4591, 1998, 7772, 2323, 2191, 2062, 2590, 6567, 1012, 2005, 2742, 1010, 2019, 12005, 16774, 2003, 2062, 3497, 2000, 2490, 1996, 6098, 1010, 2738, 2084, 2602, 1010, 1997, 10153, 1012, 2027, 2903, 1999, 4359, 5197, 1998, 2535, 1997, 1996, 2111, 1012, 2302, 1037, 4797, 1010, 12005, 17456, 7480, 2993, 2039, 2000, 1037, 2193, 1997, 3471, 1012, 2005, 1996, 8739, 1997, 17839, 1010, 2292, 1521, 1055, 7868, 2008, 1037, 11590, 1999, 12005, 16774, 2406, 1060, 3084, 2087, 2030, 2035, 1997, 1996, 3343, 6567, 1012, 1996, 2111, 2031, 2210, 2000, 2053, 2373, 1998, 2064, 1521, 1056, 3789, 2005, 1037, 2047, 3003, 2065, 2027, 2123, 1521, 1056, 2066, 2023, 2028, 1012, 2093, 12020, 5258, 2182, 1012, 2034, 1010, 1996, 3003, 2089, 1010, 2004, 2019, 6739, 1010, 2079, 1037, 2204, 3105, 21570, 1996, 3791, 1997, 1996, 22508, 2302, 7386, 2075, 2068, 1012, 2117, 1010, 2002, 2030, 2016, 2089, 2079, 1037, 3532, 3105, 1999, 2725, 2061, 1012, 2353, 1010, 2009, 2003, 2825, 1006, 1998, 2130, 3497, 1007, 2008, 2070, 5257, 1997, 2122, 3025, 2048, 13105, 6433, 1012, 1996, 28378, 12005, 16774, 1999, 1996, 2034, 3663, 1010, 1996, 3003, 1997, 2406, 1060, 4282, 2054, 2003, 2190, 2005, 2035, 1997, 2010, 2030, 2014, 2111, 1010, 1998, 3084, 6567, 2008, 2191, 2068, 3407, 1012, 2664, 2107, 1037, 8658, 2052, 5478, 1037, 27061, 3754, 2000, 3531, 1012, 1996, 3722, 2755, 1997, 1996, 3043, 2003, 2008, 2053, 3003, 2064, 23613, 2113, 2054, 2003, 5621, 2190, 2005, 3071, 1012, 1996, 2117, 2002, 2030, 2016, 3084, 1037, 3247, 2008, 7126, 2087, 2111, 1010, 2500, 2089, 2156, 7386, 2015, 1012, 2045, 2024, 2521, 2205, 2116, 2111, 1999, 2151, 2406, 2000, 2191, 2068, 2035, 3407, 1012, 2947, 1010, 2009, 2003, 5263, 2005, 2151, 12005, 16774, 7786, 2000, 2079, 2061, 1025, 1996, 2801, 2003, 1037, 26917, 1012, 2367, 2111, 2031, 2367, 3791, 1010, 1998, 2053, 3003, 2064, 4400, 1037, 23967, 1998, 3113, 2068, 2035, 1012, 1996, 3633, 3209, 2024, 2521, 2062, 3497, 2000, 2191, 2122, 6567, 2190, 1012, 2044, 2035, 1010, 2027, 2031, 1037, 26003, 3037, 1999, 1996, 3663, 1012, 2005, 6013, 1010, 5674, 1037, 3979, 5160, 2667, 2000, 5646, 3251, 2000, 2202, 1037, 19188, 2553, 1012, 2295, 2010, 3361, 8619, 2089, 2022, 4138, 1010, 3928, 1010, 1998, 8235, 1010, 2002, 2894, 5621, 4282, 1996, 2553, 1025, 6516, 1010, 2002, 2003, 1996, 2190, 2711, 2000, 2191, 1037, 2345, 3247, 2055, 2009, 1012, 2006, 1996, 10043, 1010, 2070, 2089, 2110, 2008, 12005, 17456, 2003, 4072, 2005, 3056, 4972, 1997, 2166, 1012, 1037, 3598, 2873, 1010, 2005, 6013, 1010, 2003, 2521, 2062, 6179, 2084, 1037, 23131, 2447, 1999, 4252, 2129, 2000, 7370, 1996, 7151, 1012, 2021, 4331, 2003, 2025, 1037, 4368, 1012, 1996, 11820, 1997, 1037, 7151, 7386, 2015, 6343, 4983, 1996, 2447, 7288, 2025, 2000, 6218, 2009, 2092, 1012, 6854, 1010, 4331, 2515, 2025, 2147, 1999, 2023, 5450, 1010, 1998, 1996, 6567, 2031, 2172, 3618, 14670, 1012, 9308, 1010, 2576, 2824, 7461, 3633, 1999, 3971, 2008, 2053, 12005, 16774, 2064, 5621, 3305, 2302, 2108, 2920, 1012, 2349, 2000, 1996, 2946, 1997, 2019, 7069, 1010, 2295, 1010, 2009, 2003, 2471, 5263, 2005, 2068, 2000, 2031, 3716, 1997, 2035, 2111, 1521, 1055, 3791, 1012, 2718, 2030, 3335, 14084, 1010, 12005, 17456, 4107, 1996, 6061, 2008, 1996, 3003, 1999, 3715, 2515, 2025, 13225, 1996, 7243, 1521, 3791, 1012, 1999, 2023, 2553, 1010, 1996, 2373, 2008, 2019, 7069, 2038, 2064, 2599, 2000, 4795, 8465, 1012, 5939, 5521, 4890, 7502, 2130, 5514, 2043, 2035, 1997, 1996, 2111, 1999, 2373, 3745, 2009, 1012, 2302, 2151, 2844, 5012, 2013, 2060, 2111, 1999, 2373, 1010, 2045, 2003, 2025, 2172, 2460, 1997, 1037, 4329, 2000, 2644, 2019, 4895, 29427, 7069, 1012, 2130, 2065, 1996, 3003, 23640, 2015, 1996, 4277, 1997, 7961, 1998, 3084, 5621, 3071, 3407, 1010, 2045, 2003, 2053, 11302, 2008, 2002, 2030, 2016, 2097, 3613, 2000, 2079, 2061, 1012, 9308, 1010, 1037, 2744, 1997, 3627, 2003, 2196, 4568, 1010, 1998, 2925, 11117, 2024, 9832, 2000, 4287, 2006, 2019, 7235, 8027, 2004, 2627, 3924, 1012, 2130, 2065, 1037, 7786, 7537, 7078, 3071, 1010, 1996, 6332, 1010, 2062, 2084, 3497, 1010, 2052, 2025, 1012, 2947, 1010, 2009, 3544, 2008, 12005, 17456, 2003, 2025, 2019, 11706, 2126, 2000, 5326, 2204, 1012, 1996, 12005, 16774, 3685, 2022, 5621, 2204, 1010, 2005, 2045, 2024, 2205, 2116, 2111, 2000, 7166, 2000, 1025, 2009, 2003, 5263, 2000, 2079, 2061, 2005, 2035, 1997, 2068, 1012, 2043, 2002, 2030, 2016, 2003, 2919, 1010, 1996, 8465, 2024, 2521, 2205, 18704, 1012, 2057, 2442, 2025, 4372, 24669, 2373, 2000, 2216, 2040, 2097, 2022, 4895, 19763, 2075, 2012, 2190, 1998, 4078, 11008, 2594, 2012, 5409, 1012, 3769, 15859, 6491, 1024, 5355, 9028, 2213, 2300, 3769, 15859, 6491, 1010, 2006, 1996, 2060, 2192, 1010, 3957, 1037, 2521, 3618, 2535, 2000, 1996, 2111, 1012, 2004, 3090, 3130, 1010, 2027, 7166, 2000, 2490, 2062, 6043, 2008, 8339, 1996, 4792, 1997, 1996, 3484, 1010, 2029, 2788, 2003, 1996, 2551, 1998, 2690, 4280, 1012, 2005, 2742, 1010, 2027, 2089, 6118, 2490, 9209, 1998, 15391, 3228, 2231, 27021, 2205, 2172, 2373, 1012, 2023, 2515, 2025, 1010, 2174, 1010, 9352, 2812, 2027, 2490, 3760, 2231, 1010, 2004, 2116, 3769, 15859, 12837, 2490, 1037, 6118, 3852, 3318, 4171, 1998, 2152, 26269, 1012, 3769, 15859, 6491, 1998, 12005, 17456, 2119, 2024, 15230, 2007, 3314, 1010, 2021, 1037, 3327, 2028, 2003, 4310, 2000, 3769, 15859, 6491, 1025, 2061, 2116, 2111, 2024, 1999, 1996, 3247, 1011, 2437, 6194, 2008, 1996, 5755, 1997, 11476, 8519, 2024, 5410, 1012, 3769, 15859, 6491, 2003, 2062, 3497, 2000, 2022, 3537, 1998, 2507, 2844, 5684, 2000, 1996, 3484, 1012, 1998, 2065, 1996, 3484, 2003, 3308, 1029, 7823, 6735, 1010, 2009, 3475, 1521, 1056, 1996, 2097, 1997, 1996, 2111, 1012, 2750, 2049, 20272, 2006, 2119, 1996, 2187, 1998, 1996, 2157, 1010, 3769, 15859, 6491, 3227, 6537, 1996, 8391, 1997, 11701, 2245, 1012, 2004, 11678, 1997, 2111, 2442, 14300, 6043, 2077, 2027, 2175, 2046, 2895, 1010, 2009, 2003, 2524, 2005, 2019, 3265, 2007, 2019, 9525, 2801, 2000, 2582, 2009, 1012, 2350, 6447, 2024, 2411, 3308, 1010, 2004, 2024, 27021, 1012, 1996, 5549, 15172, 3466, 5674, 2008, 2184, 2111, 1999, 1037, 2282, 1997, 2382, 2024, 14870, 2015, 1012, 2184, 2062, 2024, 3115, 2137, 13350, 1998, 11992, 1010, 2021, 1996, 2197, 2184, 2111, 2024, 18448, 2015, 1012, 1999, 1037, 3769, 15859, 3367, 2291, 1010, 2169, 5448, 8267, 5020, 3635, 1010, 1998, 2216, 2008, 2079, 2025, 2031, 1996, 2490, 1997, 1996, 2111, 2097, 6904, 21928, 1012, 1999, 2023, 2553, 1010, 1996, 2702, 14870, 2015, 2097, 2025, 2156, 2172, 2490, 2013, 1996, 2060, 2322, 1012, 2061, 1010, 2009, 2003, 3647, 2000, 2360, 2008, 3769, 15859, 6491, 2038, 1037, 5549, 15172, 3466, 2006, 5939, 5521, 4890, 1012, 1999, 2019, 12005, 16774, 2291, 1010, 2065, 1996, 2028, 2030, 2261, 1999, 3715, 2003, 2030, 2024, 14870, 1010, 2059, 14870, 6043, 2097, 3627, 1012, 1037, 3769, 15859, 3367, 2291, 1010, 2174, 1010, 2064, 10861, 12680, 1996, 8769, 1997, 6034, 5939, 5521, 4890, 1012, 2664, 1010, 2023, 2168, 3466, 6433, 2006, 4784, 1997, 7044, 1012, 1996, 2184, 18448, 2015, 1010, 2104, 3769, 15859, 6491, 1010, 2024, 2025, 2183, 2000, 4374, 2490, 2013, 1996, 2322, 2040, 2079, 2903, 1999, 1037, 2110, 1012, 6660, 1010, 3769, 15859, 6491, 2038, 1037, 5549, 15172, 3466, 2006, 7044, 1010, 10723, 2995, 4071, 2013, 2412, 10066, 1012, 2073, 12005, 17456, 3138, 1037, 18503, 1010, 3769, 15859, 6491, 20362, 2119, 1996, 3891, 1998, 1996, 10377, 1012, 1999, 2173, 1010, 2045, 2003, 2069, 1037, 2291, 1997, 5355, 9028, 2213, 5549, 8156, 1010, 1999, 2029, 2053, 3596, 1997, 2995, 7044, 2024, 3497, 2000, 4839, 1012, 2004, 3090, 2682, 1010, 2111, 2031, 21040, 16965, 3791, 1012, 2019, 7069, 3003, 2089, 2030, 2089, 2025, 3535, 2000, 2191, 2068, 2035, 3407, 1012, 1996, 3769, 15859, 12837, 1010, 2006, 1996, 10043, 1010, 2024, 2521, 2062, 3497, 2000, 2079, 2061, 1012, 2021, 2003, 2023, 1037, 2204, 2518, 1029, 2065, 2702, 2111, 2903, 1999, 1037, 2489, 2554, 2008, 6666, 2035, 1010, 2021, 5595, 2111, 16599, 1037, 9366, 2008, 2027, 2903, 2097, 5770, 1996, 2111, 1006, 2004, 1996, 3484, 1010, 3649, 2027, 2903, 2097, 5770, 2068, 2097, 5770, 1996, 2087, 2111, 1999, 1037, 18185, 1007, 1010, 2059, 1996, 5595, 1010, 2174, 2157, 2030, 3308, 2027, 2024, 1010, 2097, 2202, 23359, 1012, 3227, 1010, 3769, 15859, 6491, 1010, 2066, 7072, 1010, 3182, 14388, 5197, 2006, 1996, 2111, 2024, 23253, 5020, 2360, 1012, 2006, 1996, 2060, 2192, 1010, 2065, 1996, 4395, 2024, 7237, 1010, 1996, 5595, 2111, 1999, 5684, 1997, 7044, 2097, 2156, 2037, 2801, 5114, 2062, 11071, 1012, 2174, 1010, 2023, 2003, 2025, 2349, 2000, 1996, 22617, 1997, 1996, 2801, 2993, 1010, 2021, 3432, 2349, 2000, 1037, 3484, 3173, 1996, 5448, 1998, 1996, 3484, 2064, 5121, 2022, 3308, 1012, 1999, 2755, 1010, 2087, 4841, 2079, 2025, 2130, 2113, 1996, 3937, 4972, 1997, 2037, 2219, 2231, 1012, 1999, 1037, 3522, 8554, 1010, 4261, 3867, 1997, 4841, 2071, 2025, 2171, 1037, 2034, 7450, 2157, 1012, 6356, 3867, 2071, 2025, 2171, 1996, 5628, 1997, 2231, 1998, 2062, 2084, 2431, 2056, 2008, 6206, 7489, 2031, 2053, 6543, 2916, 1012, 2024, 2122, 2428, 1996, 2111, 2008, 2323, 2022, 2437, 1996, 6567, 2008, 7461, 2149, 2035, 1029, 3769, 15859, 6491, 1998, 12005, 17456, 1024, 4207, 19399, 3769, 15859, 6491, 1998, 12005, 17456, 1010, 2302, 1037, 4797, 1010, 11234, 9839, 1999, 2037, 2965, 1998, 24977, 1012, 2036, 1010, 2027, 2031, 2070, 19517, 2367, 21407, 1012, 2750, 2023, 1010, 2045, 2003, 1037, 3145, 3538, 2008, 1996, 2048, 4784, 2031, 1999, 2691, 1025, 2027, 2119, 6592, 2008, 2500, 2064, 1998, 2323, 20951, 2191, 6567, 2005, 2017, 1012, 1999, 1037, 3663, 1999, 2029, 2017, 2024, 2025, 1996, 6739, 1010, 2009, 2003, 7968, 2000, 3499, 2028, 2000, 3357, 1999, 1012, 2006, 1996, 10043, 1010, 2009, 2064, 2022, 15189, 2000, 2202, 1037, 8554, 1997, 2116, 2060, 15251, 2000, 2156, 1996, 22617, 1997, 2019, 2801, 1012, 2664, 1010, 3769, 15859, 6491, 1998, 12005, 17456, 2079, 2119, 1997, 2122, 2477, 2011, 2486, 1010, 16625, 2068, 2083, 1996, 2097, 1997, 1996, 2231, 3031, 1996, 2111, 1012, 1999, 4445, 2553, 2003, 3087, 2428, 2489, 1010, 2007, 1996, 2825, 6453, 1997, 1996, 11117, 1999, 2019, 12005, 16774, 2291, 1012, 1996, 2457, 2553, 2742, 2013, 2682, 12033, 2000, 3769, 15859, 6491, 2004, 2092, 1012, 2045, 2003, 2498, 9352, 2367, 2055, 1037, 3484, 1998, 2019, 7069, 1012, 2119, 2089, 2031, 2204, 11174, 1998, 2022, 6149, 1012, 2021, 1010, 2119, 2089, 2036, 2031, 10433, 11174, 2030, 2022, 16542, 1006, 2030, 2119, 1007, 1012, 2005, 2023, 3114, 1010, 2009, 2003, 3811, 20868, 6072, 26029, 19307, 2000, 2507, 1996, 2373, 1997, 3247, 1011, 2437, 2000, 3087, 2021, 1996, 3265, 1012, 1999, 2087, 3572, 1010, 1996, 3265, 2003, 1996, 2087, 5214, 1997, 2437, 2010, 2030, 2014, 2219, 9804, 1012, 11790, 5121, 4839, 1010, 2021, 2498, 2003, 7458, 2111, 2013, 10549, 2000, 6148, 1996, 10740, 1997, 2350, 6447, 2030, 8519, 1012, 2021, 2058, 16570, 28335, 2006, 2028, 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, 2726, 4202, 1996, 7204, 2121, 1999, 4768, 2242, 2038, 2042, 2206, 2033, 1012, 1037, 8040, 2527, 22251, 2544, 1997, 2870, 2008, 1045, 2064, 1521, 1056, 6807, 1999, 4620, 4902, 1010, 7093, 1010, 2939, 2046, 1037, 21785, 2559, 2005, 2505, 2008, 2134, 1521, 1056, 2031, 1520, 4459, 2332, 1521, 2006, 2049, 8560, 1012, 2026, 3008, 2018, 2081, 1037, 4872, 2043, 1045, 2001, 3920, 2008, 1045, 2052, 2196, 2031, 2000, 3477, 2005, 1037, 2338, 1999, 2026, 2166, 1010, 2065, 1045, 1999, 2735, 5763, 2000, 3191, 2296, 2309, 2028, 2000, 1996, 2203, 1012, 1037, 2261, 2086, 2101, 2027, 2018, 2000, 5587, 1037, 5430, 4017, 1516, 2069, 2296, 2117, 3117, 2071, 2022, 2013, 1996, 2332, 2370, 1012, 2012, 2034, 1010, 2027, 2020, 4180, 2438, 2000, 2031, 1037, 2365, 2040, 3191, 1037, 2843, 1010, 1998, 2059, 2027, 2020, 8084, 2000, 2057, 2319, 2033, 2125, 2009, 1010, 10389, 1521, 1055, 2843, 1010, 1998, 1996, 9716, 1012, 1045, 2766, 2041, 1996, 4317, 4355, 2518, 17632, 2094, 2090, 12849, 12162, 2480, 1998, 6326, 1012, 2009, 2357, 2041, 2000, 2022, 1037, 5294, 20990, 1010, 2007, 23170, 2159, 1998, 24719, 2066, 10636, 2008, 18036, 27190, 2408, 1996, 2392, 2058, 1998, 2035, 2105, 1996, 3903, 1012, 7122, 1997, 5469, 1010, 1996, 2516, 4161, 2007, 2008, 4259, 2135, 10036, 7023, 2008, 2069, 16016, 6002, 2113, 2129, 2000, 2079, 2157, 1010, 1037, 3074, 1997, 3441, 2013, 1044, 1012, 1052, 1012, 2293, 10419, 1012, 2026, 3566, 2018, 17829, 2012, 2034, 1010, 3773, 2242, 4795, 1999, 1996, 6492, 1521, 1055, 16903, 2417, 2159, 1010, 2021, 1045, 6427, 2014, 1012, 4606, 1010, 2009, 2001, 4317, 2438, 2000, 2197, 2033, 2012, 2560, 1037, 3204, 2030, 2048, 1010, 3574, 2204, 3643, 2005, 2769, 1012, 2029, 2003, 1037, 2755, 1024, 2026, 3566, 2288, 2014, 2769, 1521, 1055, 4276, 1516, 2008, 2338, 2145, 3310, 2007, 2033, 2296, 2051, 1045, 2693, 2160, 1010, 1998, 2009, 1521, 1055, 2471, 1037, 5476, 2101, 1012, 1997, 2607, 1010, 1996, 2034, 2051, 1045, 2441, 1996, 2338, 1010, 2477, 2106, 2025, 4025, 10015, 1012, 1045, 2001, 13394, 2011, 1996, 19261, 18444, 1998, 1996, 2130, 7985, 10661, 2891, 2008, 2743, 2083, 2296, 4766, 2466, 1012, 17207, 8988, 14573, 1010, 1054, 1521, 25866, 2232, 1010, 26822, 13871, 14573, 1010, 1043, 12707, 6761, 2705, 10441, 1012, 2009, 2001, 2438, 2000, 3298, 2017, 5506, 1012, 2059, 2242, 3047, 1012, 2025, 3402, 1012, 2521, 2013, 2009, 1012, 1037, 4030, 6402, 1045, 2085, 2113, 2000, 2022, 2035, 2205, 6413, 2043, 10537, 2293, 10419, 1012, 2672, 2009, 2318, 1999, 1996, 12388, 1997, 1523, 1996, 6120, 2041, 1997, 2686, 1524, 1010, 2030, 2672, 4873, 1999, 1996, 17034, 1012, 2013, 18814, 3005, 8210, 4598, 24646, 2078, 1996, 4167, 1998, 15903, 2149, 2007, 1996, 2304, 4469, 1011, 14448, 6084, 2015, 2027, 5466, 2330, 2077, 2256, 10424, 2368, 14272, 2094, 2159, 1012, 2079, 2017, 2156, 2054, 1045, 2156, 1029, 2293, 10419, 2052, 2707, 8223, 9709, 2055, 1996, 4242, 1998, 3571, 1998, 1996, 3571, 1997, 1996, 4242, 1998, 2059, 1996, 8223, 9709, 2790, 2000, 18654, 2242, 1010, 1998, 1045, 1521, 1040, 2707, 2000, 2131, 8796, 1012, 2025, 1999, 2026, 2282, 1010, 2025, 5973, 2485, 1010, 2021, 2041, 2045, 1999, 1996, 6565, 10866, 2791, 1997, 2054, 3464, 16655, 2595, 24759, 19574, 1010, 2045, 2001, 2242, 1012, 1998, 2748, 1010, 2065, 2009, 2359, 2000, 1010, 2242, 2071, 4089, 2272, 2182, 1012, 2009, 2071, 4125, 1012, 2672, 2009, 2134, 1521, 1056, 2130, 2031, 2000, 1012, 2009, 2071, 2022, 1996, 2946, 1997, 2054, 2057, 5136, 2000, 2022, 15579, 1012, 2009, 2052, 2022, 3287, 6767, 16136, 1012, 1996, 8210, 2735, 1997, 2049, 2132, 1516, 2821, 3531, 1010, 2292, 2009, 2031, 2242, 2004, 2529, 2004, 1037, 2132, 1516, 2071, 22505, 2149, 2035, 1012, 2043, 1045, 2001, 2105, 1996, 2168, 2287, 1010, 7093, 1010, 2026, 2388, 2628, 2033, 2046, 1996, 15034, 1521, 1055, 2436, 1012, 2788, 2016, 2074, 3333, 2033, 2125, 1998, 3856, 2033, 2039, 1010, 2021, 2005, 2320, 1010, 2045, 2001, 2242, 3809, 6230, 1012, 2216, 6521, 2020, 1037, 16480, 2890, 2062, 2084, 2505, 2842, 1011, 1045, 1521, 1040, 2042, 11180, 2019, 15140, 2007, 1520, 4083, 3471, 1521, 2011, 1037, 2186, 1997, 5089, 1516, 2021, 1045, 2196, 2387, 1996, 2391, 1012, 2035, 2216, 2847, 2985, 3331, 2055, 2026, 2188, 2166, 2030, 8040, 5313, 13876, 2075, 2026, 6699, 2007, 5726, 2371, 2066, 24596, 2075, 4485, 2007, 5427, 6495, 1012, 4661, 1010, 1045, 2018, 1037, 3492, 3154, 2801, 1997, 1996, 2828, 1997, 2711, 2040, 2442, 2156, 1996, 15034, 1024, 2070, 3265, 2040, 1521, 1040, 2404, 2010, 2519, 2205, 2784, 2046, 1996, 5380, 1997, 1996, 4242, 1998, 2347, 1521, 1056, 4810, 2005, 1996, 10401, 2000, 2202, 2068, 1012, 1996, 16219, 1999, 4459, 2332, 1010, 1014, 2099, 1996, 21989, 1999, 6522, 2293, 10419, 1010, 3494, 3005, 6580, 2052, 2467, 3288, 2068, 2067, 2000, 1996, 4895, 13102, 25508, 3085, 11143, 1997, 1037, 12013, 4895, 8663, 4226, 16670, 1012, 2021, 2059, 1010, 2035, 2216, 18024, 2015, 2020, 10909, 1012, 1045, 2123, 1521, 1056, 9131, 1996, 6635, 2616, 2877, 2039, 2000, 1996, 11616, 1025, 1045, 2763, 2347, 1521, 1056, 7079, 3086, 1010, 2021, 1045, 2079, 3342, 2026, 2388, 23970, 2026, 7345, 7371, 2012, 1996, 2614, 1997, 2216, 4326, 2416, 20732, 1012, 2664, 3038, 2009, 2066, 2008, 11737, 5498, 4095, 2229, 1996, 7404, 1010, 2009, 2471, 4165, 8242, 1010, 2296, 2614, 26397, 14797, 3973, 2039, 1998, 2091, 1999, 2471, 1011, 2021, 1011, 2025, 1011, 3243, 24264, 14905, 2594, 7279, 15464, 15141, 1012, 2059, 1010, 2004, 1996, 15034, 2253, 6748, 2046, 1996, 11616, 1010, 12216, 2041, 1996, 13494, 1010, 1045, 2371, 1996, 3635, 1997, 2054, 2018, 2074, 2042, 3603, 1012, 3402, 2296, 2019, 8586, 23681, 4207, 1010, 2013, 1996, 6721, 27719, 2015, 1010, 2000, 1996, 5312, 1997, 5760, 18555, 2791, 2012, 2082, 1998, 2012, 2188, 1010, 2000, 1996, 3134, 2073, 1045, 3473, 2521, 2205, 9235, 1998, 7771, 3807, 2004, 2172, 2004, 2001, 7965, 1024, 2009, 2001, 2035, 2045, 2006, 1037, 11581, 17060, 2073, 1996, 11373, 1998, 23389, 2015, 10948, 2007, 2028, 2178, 1999, 16723, 9025, 1012, 1998, 2061, 1010, 1045, 2001, 2404, 2006, 14667, 1025, 1037, 2659, 1011, 9998, 4270, 3424, 3207, 20110, 4630, 2000, 2491, 2242, 1045, 2134, 1521, 1056, 3243, 3305, 1998, 2134, 1521, 1056, 3243, 2903, 1045, 2018, 1012, 1996, 14667, 28675, 1996, 2825, 6841, 1010, 25699, 14147, 2151, 6234, 19353, 1010, 1998, 1045, 2318, 2152, 2082, 1010, 2667, 2000, 10616, 2296, 4495, 2000, 3292, 2870, 2013, 2216, 9596, 3653, 17389, 2078, 2086, 1012, 1045, 2245, 1045, 2001, 2069, 5026, 2007, 2033, 1037, 2358, 11823, 1997, 5469, 2808, 1998, 2070, 2422, 9353, 2638, 1012, 3694, 1022, 2000, 1023, 2026, 20185, 2253, 2013, 7143, 2753, 2015, 2000, 19960, 3695, 16748, 20341, 1010, 1998, 2059, 2011, 1996, 2203, 1997, 3694, 1023, 1045, 2018, 5064, 24356, 1996, 3834, 2969, 1011, 19593, 2000, 2562, 2673, 19957, 2058, 4293, 1003, 1012, 2035, 2216, 2086, 19817, 6784, 4726, 2083, 2332, 1010, 18922, 1998, 2293, 10419, 2018, 13680, 1037, 3076, 2040, 2071, 4339, 17824, 2135, 1998, 5959, 1996, 2832, 1010, 14828, 1037, 9230, 2013, 5597, 1998, 5584, 2000, 1996, 4010, 2608, 1997, 2394, 1998, 2381, 1012, 2132, 2058, 8265, 1010, 1045, 5621, 2001, 1012, 2009, 2001, 1037, 2204, 2051, 1012, 2087, 1997, 2035, 1045, 3342, 3752, 14624, 2011, 4459, 2332, 2028, 2851, 2077, 2465, 1012, 2026, 2394, 3836, 2939, 2011, 1010, 2387, 2054, 1045, 2001, 3752, 1010, 1998, 2904, 2026, 2166, 1999, 2028, 4861, 1012, 1520, 2065, 2017, 2064, 4339, 4349, 2066, 2017, 2064, 4339, 2019, 9491, 1010, 1521, 2016, 2056, 1010, 1520, 2059, 1045, 2031, 2053, 4797, 1045, 1521, 2222, 2424, 2115, 2171, 1999, 1037, 21785, 2028, 2154, 1012, 1521, 1045, 2435, 2014, 2019, 9596, 2868, 2004, 2016, 2939, 2125, 1010, 2021, 2014, 2616, 2020, 20286, 2000, 1996, 5923, 1012, 2016, 2001, 2157, 999, 1045, 2071, 999, 2053, 1010, 2130, 2488, 1010, 1045, 2052, 2028, 2154, 4339, 1037, 2338, 1010, 1998, 2025, 2074, 2151, 2338, 1010, 1037, 5469, 2338, 1010, 2028, 2008, 2052, 13366, 2100, 1996, 3006, 10908, 2005, 1520, 6881, 4349, 1521, 1012, 2070, 2018, 2589, 2009, 1012, 1045, 2071, 2205, 1012, 2242, 2001, 5278, 1012, 2040, 3632, 2045, 1029, 1045, 1521, 1049, 2183, 2000, 2022, 7481, 1516, 12013, 2003, 1037, 2307, 5436, 5080, 1012, 1045, 1010, 2205, 1010, 18077, 2009, 2182, 1012, 2005, 2296, 3213, 11441, 2007, 2009, 1516, 1998, 2045, 2024, 2116, 1010, 2004, 2017, 2089, 2031, 2657, 1516, 2045, 1521, 1055, 3313, 1996, 6002, 1999, 22776, 2008, 2601, 19598, 29398, 8761, 2005, 2049, 23191, 1010, 2049, 4130, 2891, 1529, 1998, 2049, 7404, 1012, 2009, 1521, 1055, 11757, 14057, 2005, 1996, 5682, 1997, 1520, 2561, 1521, 19272, 2302, 2561, 19272, 1024, 8319, 6888, 1010, 3868, 4301, 1010, 27885, 8583, 12742, 1998, 20014, 7946, 3512, 13425, 1010, 1998, 2059, 2019, 22159, 1997, 15903, 2791, 1010, 1997, 2673, 4359, 2000, 2498, 2012, 2035, 1025, 2009, 1521, 1055, 2035, 2045, 2000, 12944, 1996, 6991, 1997, 3279, 1998, 28424, 2030, 3649, 1011, 2031, 1011, 2017, 1999, 2115, 2834, 3931, 1011, 6769, 1012, 29310, 4332, 2000, 6245, 1010, 4332, 2000, 29310, 1010, 4332, 1996, 3931, 1010, 2030, 2242, 2066, 2008, 1012, 2043, 29398, 8761, 2718, 2023, 10191, 2524, 1999, 3694, 2184, 1010, 1996, 2069, 5724, 2001, 2000, 2718, 2067, 6211, 1010, 2083, 1996, 7777, 1997, 22157, 1998, 20896, 2483, 1012, 2182, 1521, 1055, 1996, 2518, 2007, 20992, 2005, 5177, 7355, 1024, 2027, 2788, 2272, 2007, 1037, 2210, 5860, 19771, 5017, 1010, 1996, 2200, 2235, 6140, 2006, 1996, 2966, 1011, 3713, 7427, 19274, 1010, 2008, 2027, 2453, 4654, 10732, 28483, 2618, 1996, 3291, 1012, 1996, 7526, 5942, 2008, 2017, 5138, 1996, 4297, 5063, 6820, 3012, 1010, 1996, 28685, 1024, 2453, 2393, 1012, 2453, 2191, 2477, 4788, 1012, 2296, 2309, 20896, 2072, 2041, 2045, 2097, 2022, 16250, 2007, 1037, 4248, 2664, 3813, 1520, 2821, 1010, 2036, 1010, 2023, 2038, 1037, 4678, 2021, 2825, 2217, 1011, 3466, 2073, 2115, 3096, 20735, 2993, 1998, 2017, 3280, 1999, 1996, 5409, 12812, 10047, 22974, 22966, 1521, 1012, 1996, 2671, 2369, 2009, 2035, 2003, 2439, 2006, 2033, 1516, 2242, 1999, 2008, 4167, 2003, 2180, 4801, 1010, 2182, 1521, 1055, 2242, 2008, 3084, 2009, 2130, 2180, 11602, 2099, 1012, 2009, 1521, 1055, 1037, 10055, 1011, 2039, 1010, 1037, 29523, 2028, 1010, 1998, 1045, 1521, 1049, 3056, 2008, 2065, 2045, 2003, 1037, 12764, 2041, 2045, 1010, 2070, 16968, 2040, 1521, 1055, 1999, 3715, 1997, 2035, 2023, 19728, 1010, 2002, 4858, 1996, 2755, 2008, 3424, 1011, 2139, 20110, 11390, 3426, 26094, 4301, 1037, 3391, 6057, 8257, 1999, 2010, 9636, 7746, 4038, 1012, 2017, 2428, 2064, 1521, 1056, 4339, 2023, 4933, 1999, 2613, 2166, 1012, 1045, 2064, 13183, 2041, 15723, 7446, 1010, 2021, 1045, 2123, 1521, 1056, 2228, 2505, 3243, 4372, 17695, 23722, 8520, 1996, 12665, 1997, 3974, 3635, 1010, 3974, 2606, 1010, 3974, 3637, 1010, 3974, 1996, 3609, 1999, 2115, 3096, 1010, 2035, 2122, 6409, 2999, 2011, 1996, 14447, 1997, 4568, 2601, 7925, 2066, 14448, 18438, 2105, 2115, 2159, 1012, 2009, 5683, 2066, 4855, 2115, 2303, 2000, 1996, 6548, 2000, 2562, 2115, 3969, 1012, 2074, 2066, 2216, 2293, 10419, 2937, 3494, 2040, 4342, 1037, 2210, 2205, 2172, 1999, 1996, 2203, 1010, 3005, 9273, 2020, 3432, 2205, 10713, 2005, 2035, 1996, 22812, 1997, 1996, 5304, 1010, 1045, 9741, 2870, 5949, 2185, 2058, 1996, 2279, 2261, 2706, 1012, 2216, 2180, 4801, 5850, 3724, 2033, 2046, 1037, 2139, 27484, 4403, 1010, 2021, 2138, 2026, 23624, 2278, 4178, 2024, 3391, 6034, 1010, 2008, 2001, 1037, 5816, 3377, 1012, 2664, 2111, 1045, 1521, 1040, 2042, 5129, 2011, 2026, 2972, 2166, 2387, 2069, 1996, 3463, 1997, 3649, 2110, 1045, 2001, 1999, 1998, 1010, 2004, 2111, 2079, 1010, 2027, 5720, 1012, 1998, 2664, 1010, 29398, 8761, 2038, 4036, 2033, 1037, 2843, 2055, 1996, 13727, 2664, 2566, 10196, 3372, 9366, 1997, 19272, 2008, 3216, 2083, 2026, 6203, 5469, 4349, 1012, 1520, 5177, 7355, 2003, 9996, 6791, 1999, 5469, 4349, 1521, 3849, 1037, 12436, 23267, 7091, 1010, 16880, 6343, 1010, 1998, 2664, 1045, 2145, 2424, 2870, 15696, 2026, 2219, 4824, 1997, 2009, 2035, 2083, 1996, 2653, 1998, 3441, 2008, 2034, 6086, 2033, 2000, 2023, 20080, 6841, 2170, 12013, 1012, 2007, 29398, 8761, 1010, 1045, 2228, 1045, 1521, 2310, 4342, 2008, 2045, 2003, 1037, 15775, 6491, 2090, 1520, 5177, 7355, 1521, 1999, 6002, 1010, 1998, 12013, 1999, 6002, 1012, 29398, 8761, 1010, 2007, 2049, 8924, 1997, 3748, 18549, 1998, 6918, 28800, 2061, 2714, 1999, 3399, 2000, 1996, 4654, 7913, 16383, 1997, 5469, 4349, 1010, 2003, 2428, 11771, 2012, 2335, 1012, 2008, 1521, 1055, 5525, 2053, 12087, 1010, 1997, 2607, 2009, 3475, 1521, 1056, 1010, 2021, 2009, 1521, 1055, 1037, 2112, 1045, 6524, 2156, 3855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1061, 14540, 1520, 1055, 1049, 2581, 2005, 2273, 23815, 1999, 1996, 2047, 6440, 1997, 15068, 2094, 24980, 2015, 1010, 3251, 2030, 2025, 3087, 2359, 2009, 1012, 1998, 1010, 13325, 2011, 1996, 3006, 5968, 1010, 2053, 1011, 2028, 2106, 2215, 2009, 1012, 1049, 2581, 2001, 2025, 2074, 1037, 4446, 1011, 15347, 2099, 1998, 1996, 2034, 1997, 2049, 2785, 1025, 2009, 2001, 2036, 2205, 2434, 1010, 4310, 1010, 7782, 1998, 1010, 2009, 3849, 1010, 16880, 2005, 1037, 2088, 6817, 2011, 1996, 4840, 2791, 1997, 9353, 16211, 4487, 21025, 2080, 1012, 2004, 1045, 1521, 2310, 6936, 3130, 1999, 2026, 2695, 2006, 15068, 2094, 2004, 1996, 6745, 1010, 2047, 1010, 11757, 2759, 9874, 1999, 17013, 1010, 1049, 2581, 2001, 3805, 1997, 2049, 2051, 1998, 2049, 11655, 4095, 5508, 2006, 1996, 3496, 2001, 2025, 3271, 2011, 6140, 14997, 3794, 1037, 3376, 1010, 15892, 1010, 3287, 2944, 1999, 2440, 19124, 16371, 25469, 1012, 1049, 2581, 2001, 2207, 2011, 1061, 14540, 1999, 2526, 2104, 1996, 3257, 1997, 3419, 4811, 1012, 2009, 2001, 2580, 2011, 7445, 28778, 1998, 12007, 22993, 25816, 1998, 2956, 1996, 2206, 3964, 1024, 2327, 1024, 15214, 22591, 2102, 1010, 15831, 1010, 18040, 1012, 2690, 1024, 29525, 16402, 1010, 12943, 2906, 3702, 1012, 2918, 1024, 8994, 1010, 14163, 6711, 1010, 2158, 7265, 3489, 7117, 1012, 1049, 2581, 2001, 1037, 4121, 4945, 2005, 1061, 14540, 1010, 1998, 2001, 13583, 6588, 5290, 8898, 1999, 2263, 1517, 17319, 2012, 1996, 2344, 1997, 1061, 14540, 17935, 2618, 1521, 1055, 2047, 2058, 19980, 1010, 1048, 1521, 10848, 2389, 1012, 1996, 5290, 8898, 2544, 6354, 2048, 2086, 2127, 2230, 2043, 1996, 2878, 17013, 2001, 5168, 2579, 2125, 1996, 3006, 1012, 1999, 2249, 1010, 1061, 14540, 3390, 1049, 2581, 15068, 2094, 14689, 4747, 2226, 1010, 1037, 2139, 1011, 15197, 2098, 2544, 1997, 1996, 2434, 6071, 1012, 1006, 1998, 1010, 4873, 1999, 2090, 2035, 2122, 3431, 1010, 2027, 2179, 1996, 2051, 2000, 2713, 1049, 2581, 4840, 1010, 2205, 999, 4415, 1010, 2027, 2020, 2012, 1037, 3279, 2007, 2054, 2000, 2079, 2007, 1049, 2581, 1998, 2020, 2667, 2296, 2825, 3927, 2000, 8081, 1996, 3291, 1998, 2037, 3279, 1999, 11436, 6599, 1012, 1007, 1049, 2581, 2003, 2145, 2800, 2006, 1041, 15907, 1010, 2021, 2009, 1521, 1055, 2524, 2000, 2113, 2029, 2544, 2017, 1521, 2128, 9343, 4983, 2017, 4638, 1996, 11015, 1998, 8378, 1012, 1996, 2434, 1049, 2581, 2003, 21972, 1999, 1037, 2784, 2829, 5835, 2008, 2003, 5024, 2135, 2829, 2035, 2105, 1998, 2038, 1037, 3165, 2316, 2012, 1996, 2327, 1012, 2049, 3482, 7201, 2176, 12760, 1012, 1999, 5688, 1010, 1996, 5290, 8898, 2544, 1997, 1049, 2581, 3310, 1999, 1037, 3482, 2008, 2003, 2428, 7687, 3154, 2007, 2074, 1037, 2502, 5024, 6293, 2121, 1997, 2829, 2006, 1996, 2392, 1998, 2067, 1025, 2017, 2064, 2425, 2009, 1521, 1055, 1996, 5290, 8898, 2544, 2138, 1996, 3903, 1998, 3953, 1997, 1996, 5835, 2024, 3294, 3154, 1012, 2049, 3482, 2003, 2036, 2367, 1025, 2009, 2085, 7201, 2403, 12760, 1012, 2750, 1996, 3623, 1999, 12760, 1010, 2174, 1010, 1996, 5290, 8898, 2544, 2003, 4011, 2000, 2022, 12381, 15863, 2084, 1996, 2434, 1010, 20618, 8994, 2058, 8143, 15068, 2094, 1010, 1998, 16180, 1037, 12884, 1997, 1996, 2051, 1012, 2008, 2056, 1010, 2119, 4617, 2024, 2056, 2000, 2031, 1996, 2168, 4318, 2091, 1012, 1045, 2031, 2411, 2056, 2008, 10628, 2097, 2022, 1996, 2331, 1997, 2033, 1012, 1006, 2009, 5791, 2097, 2022, 1996, 2331, 1997, 2026, 15882, 2028, 1997, 2122, 2420, 1012, 1007, 2035, 1996, 24646, 10867, 6151, 2852, 5654, 2105, 1049, 2581, 2020, 2205, 2172, 2000, 9507, 1012, 2061, 1010, 1045, 3641, 1037, 7099, 1997, 1049, 2581, 2013, 7806, 2000, 3382, 1010, 1998, 2699, 2009, 2007, 2307, 29461, 23267, 3370, 1012, 1045, 7078, 3866, 2009, 1010, 1998, 2008, 2081, 2033, 6171, 10027, 1012, 2004, 1045, 2823, 2425, 2026, 2814, 1010, 1045, 1521, 1049, 1037, 2978, 1997, 1037, 8814, 4757, 2043, 2009, 3310, 2000, 15068, 2094, 24980, 2015, 1012, 1006, 2017, 2052, 2022, 2205, 2065, 2017, 1521, 1040, 2018, 2026, 6322, 2007, 18318, 9453, 999, 5409, 2518, 2412, 999, 1007, 2061, 1010, 1045, 2253, 2055, 11538, 1010, 1998, 1045, 2228, 2009, 1521, 1055, 3492, 3154, 2008, 7806, 2000, 3382, 7883, 1996, 2289, 1013, 2263, 1011, 2230, 5290, 8898, 2544, 1997, 1049, 2581, 1010, 2004, 2079, 1996, 2060, 7099, 4573, 2053, 4797, 1012, 2009, 1521, 1055, 5186, 15640, 1012, 1045, 1521, 1049, 4340, 2000, 5064, 2131, 2026, 2398, 2006, 1996, 2434, 2021, 1010, 2005, 2085, 1010, 2292, 1521, 1055, 8849, 2023, 2544, 1997, 1996, 15892, 1010, 6248, 6841, 1012, 1006, 3374, 1010, 2008, 4748, 12102, 2000, 6293, 1999, 2026, 2132, 1529, 1012, 1007, 1049, 2581, 1006, 5290, 8898, 1007, 7480, 2007, 2019, 7078, 14726, 6532, 1997, 20418, 1010, 23210, 1010, 5610, 2310, 10623, 2075, 2471, 2006, 1996, 2217, 1997, 28647, 1010, 1998, 4138, 3536, 1012, 1045, 2293, 2009, 1998, 3602, 1010, 1523, 1045, 2228, 1045, 2089, 2031, 2179, 2026, 15068, 2094, 999, 1524, 2045, 2003, 1037, 3730, 1010, 11259, 3543, 1997, 1996, 20632, 1010, 2021, 2521, 2625, 2084, 2054, 1045, 2018, 3517, 1012, 2009, 5121, 2987, 1521, 1056, 4025, 2000, 2031, 1996, 28552, 20632, 3267, 2008, 2028, 1997, 2026, 2190, 2814, 2040, 2038, 1996, 2434, 2544, 1997, 1049, 2581, 2018, 2649, 2000, 2033, 1012, 2002, 2018, 3264, 1996, 5437, 1997, 24112, 9821, 1998, 2002, 2001, 7078, 2157, 1012, 2021, 1999, 2026, 29454, 12926, 2544, 1997, 1049, 2581, 1010, 2009, 2003, 2200, 11259, 1012, 1996, 3621, 8903, 2100, 1010, 6081, 3737, 2000, 1996, 2648, 2112, 1997, 1037, 5061, 24112, 3593, 6167, 2003, 17725, 2021, 2009, 2003, 2521, 2041, 27204, 9072, 2011, 1996, 5437, 1997, 4086, 8994, 2098, 21729, 1012, 2009, 1521, 1055, 2471, 2004, 2065, 2045, 2003, 1037, 3543, 1997, 21229, 1998, 1037, 7204, 1997, 6861, 17171, 2008, 15594, 1010, 4840, 20418, 1998, 1996, 15068, 2094, 3536, 1012, 1996, 3732, 2038, 2019, 2471, 2310, 18150, 2389, 5783, 2000, 2009, 2008, 4455, 2000, 2568, 10636, 1011, 3139, 3628, 1999, 1996, 2540, 1997, 1037, 2329, 3536, 1012, 1996, 3964, 5791, 23408, 11045, 1996, 3110, 1997, 1037, 3328, 2083, 1996, 5249, 5129, 2011, 8143, 7166, 15928, 2015, 1997, 5610, 1517, 3383, 2013, 1037, 8632, 1997, 5255, 3727, 1999, 1996, 3292, 1012, 1045, 2514, 2200, 2091, 2669, 6103, 1011, 2003, 2232, 2043, 1045, 2228, 1997, 2216, 3964, 1010, 2021, 1996, 8994, 29532, 2205, 2172, 2005, 2009, 2000, 2022, 2062, 2084, 1037, 25085, 3110, 1012, 1996, 15068, 2094, 3536, 2003, 2205, 17336, 2011, 1996, 8994, 1998, 1996, 5472, 2389, 3702, 2000, 2022, 1037, 2995, 15068, 2094, 6518, 2066, 2008, 1997, 2011, 11382, 15204, 1521, 1055, 16405, 2099, 15068, 2094, 2029, 1045, 2031, 8182, 3130, 1012, 1049, 2581, 2941, 5683, 1037, 2978, 3553, 2000, 2011, 11382, 15204, 1521, 1055, 8994, 15068, 2094, 1010, 2763, 2138, 2045, 3849, 2000, 2022, 1037, 12381, 4359, 3815, 1997, 15068, 2094, 1999, 1996, 5290, 8898, 2544, 1997, 1049, 2581, 1006, 1998, 9428, 2210, 2000, 3904, 1999, 1996, 11382, 15204, 1007, 1012, 2026, 2544, 1997, 1049, 2581, 2036, 4455, 2000, 2568, 2242, 9223, 1024, 2026, 11419, 21075, 1999, 1037, 22801, 2433, 1012, 1045, 2514, 2004, 2295, 1045, 1521, 1049, 2183, 5506, 2021, 1010, 2053, 1010, 1996, 3098, 5791, 23408, 11045, 2015, 21075, 2000, 2033, 1012, 1045, 4638, 25312, 18980, 5555, 1998, 2009, 3402, 29225, 1024, 21075, 1521, 1055, 2327, 3964, 2024, 15214, 22591, 2102, 1998, 15831, 1010, 1998, 8994, 2003, 2012, 2049, 2918, 1012, 1049, 2581, 1521, 1055, 15594, 1010, 2471, 27838, 21756, 3098, 6532, 1997, 4589, 20418, 1998, 15214, 22591, 2102, 1999, 2019, 8994, 2098, 11965, 5791, 6281, 1996, 23848, 3490, 8873, 29320, 1997, 21075, 1521, 1055, 3098, 1006, 2295, 2498, 2064, 2030, 2097, 2412, 1516, 2412, 1516, 2428, 12826, 2000, 13528, 21075, 1010, 2026, 4151, 24665, 12502, 3347, 3904, 1007, 1012, 2144, 21075, 2003, 3383, 1061, 14540, 1521, 1055, 4602, 3112, 1010, 2009, 1521, 1055, 2025, 3294, 11341, 2008, 1996, 2194, 2052, 2963, 7520, 2067, 2000, 2049, 6147, 1037, 2210, 2043, 4526, 1049, 2581, 1012, 3383, 2008, 1521, 1055, 2028, 3114, 2339, 1045, 2562, 3015, 1523, 2293, 1524, 1999, 2026, 3964, 1517, 3143, 2007, 3007, 4144, 1998, 4654, 20464, 8067, 3508, 2685, 1012, 4406, 2500, 1010, 1045, 2196, 2018, 1996, 1523, 9115, 19340, 23353, 1524, 3098, 1999, 1049, 2581, 1012, 2053, 4797, 2008, 2003, 2178, 19844, 1997, 1996, 5290, 9513, 1012, 1045, 2036, 2123, 1521, 1056, 2031, 2172, 9367, 1012, 1045, 1521, 1049, 12580, 29279, 2012, 2129, 4780, 1049, 2581, 16180, 2006, 2033, 1012, 2053, 2062, 2084, 2322, 2781, 2101, 1010, 2009, 1521, 1055, 2525, 3225, 2000, 12985, 1012, 2019, 3178, 1999, 1010, 2009, 1521, 1055, 1037, 7484, 5745, 1012, 1045, 2514, 22673, 1998, 1010, 3606, 2022, 2409, 1010, 1037, 2210, 2066, 20040, 1012, 1045, 2031, 2521, 2205, 2210, 2000, 2079, 2054, 1045, 1521, 1040, 2066, 1010, 2029, 2003, 2000, 10364, 2009, 2006, 2033, 2011, 1996, 9210, 1012, 1045, 1521, 1049, 10560, 1998, 9652, 18856, 2075, 3031, 1996, 11270, 1997, 20418, 1010, 5472, 2389, 3702, 1998, 8994, 1012, 1006, 1996, 15068, 2094, 2187, 1996, 2311, 2146, 3283, 1012, 1007, 1045, 1521, 1049, 3621, 7216, 2098, 2011, 1996, 2755, 2008, 2619, 2006, 2918, 20564, 3090, 1996, 5290, 8898, 2544, 6354, 2069, 2019, 3178, 2006, 2032, 1012, 4415, 1010, 2009, 1521, 1055, 2025, 2035, 2033, 1998, 2026, 2180, 4801, 1010, 17013, 1011, 15077, 6370, 1012, 1999, 7263, 13905, 1010, 1998, 3554, 1996, 9075, 2000, 10364, 1996, 6893, 1997, 2026, 28475, 2035, 2058, 2033, 1010, 1045, 2175, 2000, 25312, 18980, 5555, 2000, 3191, 2055, 2060, 2111, 1521, 1055, 6322, 2007, 1996, 6518, 1012, 1998, 1010, 2204, 2643, 1010, 2023, 2518, 1006, 1999, 2434, 2433, 1007, 2003, 1037, 15298, 3203, 6359, 999, 2028, 1997, 2026, 2190, 2814, 2018, 2409, 2033, 2014, 6898, 11651, 1049, 2581, 1998, 1529, 2092, 1010, 1045, 1521, 2222, 8622, 2017, 1996, 16688, 2229, 1012, 2021, 1045, 2245, 2014, 4668, 2001, 3432, 2138, 2002, 1521, 1055, 1037, 2978, 1997, 1037, 15876, 8950, 1012, 4593, 1010, 1049, 2581, 4332, 3071, 2046, 1037, 2978, 1997, 1037, 15876, 8950, 999, 1037, 2235, 16227, 1997, 1996, 7928, 1024, 1011, 1045, 2363, 1996, 2190, 19394, 2412, 2013, 1037, 7916, 2611, 2044, 2016, 3950, 2014, 2227, 1999, 2026, 3300, 1010, 1520, 1042, 1008, 1008, 1047, 2033, 2085, 1010, 1998, 2153, 4826, 1010, 2074, 2061, 1045, 2064, 5437, 2008, 2153, 1012, 1521, 16371, 4246, 2056, 1012, 1011, 1037, 2450, 2012, 2147, 7034, 1996, 2060, 2154, 1523, 2017, 5437, 6429, 2017, 1521, 2128, 12473, 2026, 6887, 10624, 8202, 2229, 1524, 1011, 2023, 2003, 13076, 3348, 1999, 1037, 5835, 999, 999, 999, 2049, 19889, 1010, 2049, 6530, 1010, 2049, 2046, 9048, 18252, 1529, 1012, 2049, 2061, 4365, 11808, 1529, 1012, 1012, 1045, 2876, 1521, 1056, 2022, 4527, 2000, 2113, 2008, 2023, 2028, 2038, 6887, 10624, 8202, 2229, 2006, 2009, 1012, 1011, 2009, 14747, 2066, 3348, 1010, 2074, 1999, 1037, 5835, 1012, 2008, 1521, 1055, 2035, 1012, 2748, 1010, 2045, 2003, 2061, 2172, 2062, 1010, 2021, 2008, 1521, 1055, 2035, 2008, 2017, 1010, 6203, 8068, 1010, 2342, 2000, 3305, 2182, 1012, 2045, 1521, 1055, 2498, 2842, 3243, 2066, 13528, 1049, 2581, 1010, 1998, 2009, 16180, 2005, 2420, 1012, 1011, 1015, 1012, 2404, 1037, 2158, 1999, 1037, 12586, 2121, 1012, 1016, 1012, 11025, 1012, 1017, 1012, 5587, 6544, 1012, 1049, 2581, 5675, 1012, 1011, 1045, 2066, 2000, 4929, 2130, 2295, 1045, 1521, 1049, 1037, 2611, 1012, 14747, 2200, 2601, 1010, 14253, 1010, 2844, 1010, 3748, 1529, 1529, 2009, 3084, 2033, 2228, 1024, 1523, 2202, 2033, 999, 1524, 1011, 10930, 2860, 4143, 999, 10930, 2860, 4143, 999, 10930, 2860, 4143, 999, 1031, 1012, 1012, 1033, 1523, 1049, 2581, 1524, 2003, 14477, 21010, 2098, 1997, 2049, 7916, 1010, 22289, 1010, 1998, 4111, 6553, 2793, 1011, 6518, 16115, 1012, 2151, 2158, 5738, 1037, 2282, 2007, 1037, 9129, 1997, 6456, 2488, 10838, 2007, 14046, 2096, 2123, 5582, 2023, 24980, 1529, 1012, 1012, 2027, 2180, 1521, 1056, 2022, 2583, 2000, 2562, 2037, 2398, 2000, 3209, 1012, 1045, 2113, 1045, 2876, 1521, 1056, 1012, 1996, 7928, 2191, 2033, 6682, 1010, 6171, 1998, 13718, 1012, 2054, 1045, 1521, 1049, 4147, 2003, 2498, 2066, 1996, 13271, 1997, 1996, 27863, 3098, 1998, 1996, 2471, 18993, 11950, 1997, 1037, 3748, 4111, 6224, 2049, 6775, 1012, 2026, 5290, 8898, 2544, 2003, 6581, 1010, 2053, 4797, 1010, 2021, 2009, 1521, 1055, 4415, 1037, 5122, 7681, 1012, 1045, 2064, 1521, 1056, 2130, 4088, 2000, 5674, 2054, 1996, 2139, 1011, 15197, 2098, 1049, 2581, 15068, 2094, 14689, 4747, 2226, 2442, 5437, 2066, 2445, 2008, 2111, 2360, 2008, 2003, 1037, 24763, 2094, 18401, 2004, 4102, 2000, 1996, 9576, 6841, 1997, 1996, 2434, 1012, 1049, 2581, 2003, 1037, 6518, 2008, 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, 1999, 5872, 1010, 3539, 2704, 13489, 19607, 2319, 1998, 2010, 8771, 1999, 1996, 6996, 2283, 1010, 26000, 17112, 1010, 2024, 15696, 2019, 5665, 20755, 7941, 2110, 1012, 1996, 4539, 1997, 2037, 2087, 3522, 4491, 2003, 1996, 4071, 1997, 3834, 2470, 1012, 1996, 2506, 4598, 1997, 1996, 8228, 2430, 2647, 2118, 2003, 2104, 11325, 5081, 1012, 1037, 11974, 10366, 2375, 1010, 4567, 2039, 1999, 1996, 2701, 25722, 1997, 1996, 5110, 11800, 7925, 1997, 2231, 1998, 6760, 2083, 2011, 1996, 3323, 1010, 8704, 2000, 2485, 1996, 2820, 1999, 2760, 1012, 2023, 2052, 5050, 2019, 8216, 3279, 2000, 1996, 2647, 3020, 2495, 5957, 1010, 2138, 2023, 6581, 5069, 2003, 2242, 11813, 2306, 1996, 3834, 2088, 1012, 1996, 2430, 2647, 2118, 4107, 2069, 15438, 5352, 1010, 2035, 1997, 2068, 2007, 1037, 2200, 2204, 5891, 1012, 1996, 3076, 2303, 2003, 12890, 2248, 1999, 2839, 1012, 1996, 17972, 3579, 2003, 2006, 1996, 11406, 1998, 2591, 4163, 1010, 2375, 1010, 5543, 1010, 1998, 5597, 1012, 2057, 3764, 2007, 1996, 2132, 1997, 1996, 2381, 2533, 17885, 15544, 2098, 2140, 2055, 2054, 2003, 6230, 1012, 7158, 8665, 18682, 4801, 1024, 1996, 2430, 2647, 2118, 1516, 8292, 2226, 2005, 2460, 1516, 2001, 2631, 1999, 2889, 1012, 2048, 2086, 3041, 1010, 1996, 4068, 2813, 2018, 5357, 1025, 1996, 12275, 1997, 1996, 3354, 2586, 2628, 1999, 2285, 1997, 2008, 2168, 2095, 1012, 2054, 2003, 1996, 8292, 2226, 1521, 1055, 2535, 1999, 3439, 3408, 1029, 17885, 15544, 2098, 2140, 1024, 2044, 2008, 2558, 1997, 2039, 20192, 10175, 1010, 1996, 8292, 2226, 3271, 2402, 2111, 1999, 1996, 2695, 1011, 6102, 2088, 2000, 2131, 3229, 2000, 1037, 2530, 3115, 1997, 2495, 1012, 2009, 2001, 2525, 1037, 20852, 3444, 1997, 2256, 5145, 2012, 2008, 2051, 2008, 1996, 3484, 1997, 2493, 2020, 3253, 15691, 2061, 2004, 2000, 9585, 2111, 2007, 3132, 3361, 2965, 2000, 2175, 2000, 2118, 1012, 1998, 2178, 3444, 2038, 2036, 2815, 1999, 2173, 1012, 2013, 2008, 2051, 9921, 1010, 1996, 2118, 2038, 20903, 2004, 1037, 3116, 2391, 2090, 2264, 1998, 2225, 1012, 2009, 5836, 2025, 2069, 1037, 16853, 2005, 2111, 2013, 1996, 2695, 1011, 6102, 2088, 1010, 2009, 2036, 3640, 1037, 7705, 2005, 2248, 11340, 1012, 1996, 1015, 1010, 4278, 2493, 2747, 2045, 2272, 2013, 2105, 7287, 3032, 1010, 2013, 2035, 17846, 1012, 1998, 4498, 1999, 2240, 2007, 2049, 2248, 3802, 15006, 1010, 1996, 8292, 2226, 2001, 2130, 2631, 1999, 2048, 3182, 1010, 8634, 1998, 10926, 1012, 2339, 2003, 10926, 1996, 2069, 2609, 3588, 2651, 1029, 2009, 2941, 2211, 2012, 2093, 2367, 4573, 1024, 10926, 1010, 8634, 1010, 1998, 8199, 1012, 2320, 1996, 2118, 2018, 2200, 2855, 8590, 2993, 2046, 2019, 2248, 2803, 2005, 2470, 1010, 2009, 2150, 2412, 2062, 3697, 2000, 5441, 1996, 2434, 9563, 1012, 1996, 5502, 1997, 1996, 3834, 2147, 3223, 1037, 4964, 3295, 2007, 1037, 2658, 3447, 1012, 2008, 2001, 1996, 6742, 3225, 2391, 2005, 1996, 3247, 2000, 2918, 1996, 5502, 4498, 1999, 10926, 1012, 1998, 1996, 2576, 4436, 2369, 1996, 3247, 2000, 2507, 2039, 1996, 8634, 3589, 2020, 4198, 2007, 1996, 16993, 1997, 12436, 20464, 11431, 16536, 2000, 1996, 2436, 1997, 5569, 3539, 2704, 1012, 2000, 2272, 2067, 2000, 1996, 4889, 1024, 2019, 2590, 2535, 2001, 2209, 2012, 1996, 4182, 1997, 1996, 2118, 2011, 1037, 9426, 2177, 1997, 17412, 1998, 2011, 1996, 3361, 2490, 3024, 2011, 1996, 2330, 2554, 3192, 1010, 2029, 2001, 2275, 2039, 2011, 2577, 2061, 7352, 1012, 2061, 2061, 7352, 2001, 2025, 1996, 2069, 3275, 2920, 1010, 2004, 2038, 2042, 19721, 6884, 1012, 2054, 2106, 1996, 3663, 2298, 2066, 2012, 1996, 2051, 1029, 2009, 2001, 1037, 9587, 18492, 2177, 2012, 1996, 2927, 1012, 24205, 2013, 4345, 2020, 2920, 1010, 2116, 17412, 1010, 9197, 2013, 5872, 1010, 3735, 1010, 1998, 12833, 1010, 1037, 2193, 1997, 2280, 2576, 4487, 18719, 28986, 1010, 2426, 2068, 1996, 2092, 1011, 2124, 2171, 1997, 12436, 20464, 11431, 2031, 2140, 1012, 2009, 3849, 2008, 1996, 2434, 2801, 2000, 2275, 2039, 2019, 2981, 2118, 1999, 1996, 2695, 1011, 6102, 3032, 2234, 2013, 1996, 5588, 3213, 2771, 2243, 10483, 12436, 10286, 16001, 10139, 1012, 2009, 2001, 2002, 2040, 2245, 2039, 1996, 2171, 1010, 2205, 1012, 2369, 1996, 2516, 1997, 1520, 2430, 2647, 2118, 1521, 3658, 1037, 6772, 2008, 2001, 4235, 5228, 1999, 1996, 25292, 13910, 12173, 3032, 2012, 2008, 2051, 1012, 1996, 3032, 2008, 2191, 2039, 1996, 25292, 13910, 12173, 2177, 2024, 3735, 1010, 5872, 1010, 1998, 1996, 5569, 3072, 1998, 10991, 1006, 3839, 12833, 1007, 1012, 2054, 2003, 1996, 6772, 2017, 2024, 7727, 2000, 1029, 3202, 2206, 1996, 2689, 1997, 3001, 1010, 1996, 3193, 2579, 1999, 2122, 3032, 2001, 2008, 2027, 7141, 2000, 1996, 2225, 1012, 1996, 2430, 2801, 2001, 2000, 5323, 2330, 1010, 3537, 8384, 1012, 1996, 3192, 2291, 2029, 2104, 11983, 1996, 2118, 1521, 1055, 3361, 3252, 2003, 2241, 2006, 2023, 6958, 1012, 2009, 2003, 3832, 2000, 11302, 12148, 12645, 25292, 1011, 1037, 1011, 25292, 1996, 2110, 4614, 1012, 2174, 1010, 1996, 2647, 2586, 2003, 2085, 1996, 2117, 2922, 3120, 1997, 5446, 2005, 1996, 2118, 1012, 2057, 2024, 2200, 3144, 2012, 6637, 2005, 2647, 4804, 1010, 1998, 2057, 4374, 8624, 2013, 1996, 2647, 2470, 2473, 1012, 2783, 2470, 3450, 2024, 13790, 1999, 2312, 2112, 2013, 7327, 5029, 1012, 2087, 1997, 1996, 7327, 2769, 6223, 2083, 10791, 13797, 2007, 2060, 5534, 1999, 5872, 2030, 1999, 2060, 2647, 3032, 1012, 2061, 1996, 3830, 1997, 1520, 2061, 7352, 2118, 1521, 1010, 1037, 10661, 13237, 2011, 1996, 5588, 2231, 1998, 2109, 2004, 1037, 2645, 14558, 1010, 2064, 2022, 5240, 2004, 14652, 1029, 2054, 2003, 2008, 4011, 2000, 2812, 1999, 3218, 1029, 2008, 2577, 2061, 7352, 9891, 2039, 1996, 3395, 12731, 18752, 19879, 1029, 2008, 2002, 4152, 2920, 2012, 2008, 2504, 1997, 6987, 1029, 1996, 3247, 2000, 5323, 1996, 8292, 2226, 2004, 1037, 2877, 2470, 2118, 2965, 1999, 3218, 2008, 2045, 2003, 2053, 9531, 2005, 2576, 8830, 1012, 2057, 2175, 2005, 1996, 2190, 2111, 2057, 2064, 2131, 1012, 15644, 2894, 2024, 1996, 13079, 5387, 1010, 2025, 1037, 2711, 1521, 1055, 2576, 10296, 1012, 2009, 2003, 2590, 2000, 6911, 2023, 3722, 2755, 2320, 2153, 1010, 2138, 2130, 13026, 8845, 2823, 2556, 2023, 1999, 1037, 19112, 2126, 1012, 2043, 2057, 2272, 2000, 4071, 1997, 2470, 1010, 1996, 3663, 1999, 5872, 3544, 2000, 2022, 3653, 10010, 6313, 1012, 1996, 2231, 5166, 2005, 3020, 2495, 2038, 2042, 3013, 2011, 1037, 4284, 2090, 2230, 1998, 2286, 2894, 1012, 3525, 1010, 7306, 2015, 2020, 2805, 2000, 1996, 5534, 2000, 2131, 1037, 6218, 2006, 1996, 5502, 2389, 8488, 1012, 2054, 2035, 1997, 2122, 7306, 2015, 2031, 1999, 2691, 2003, 2008, 2027, 2024, 2111, 2040, 2024, 2485, 2000, 1996, 6996, 2283, 1010, 26000, 17112, 1012, 2054, 8465, 2515, 2023, 2031, 2005, 1996, 8292, 2226, 1029, 1996, 2755, 2008, 2057, 2024, 2025, 7790, 2006, 2270, 5446, 2038, 2042, 1037, 5387, 1999, 2437, 1996, 3785, 1997, 2147, 2012, 1996, 8292, 2226, 12099, 2488, 2084, 2012, 2035, 2060, 5588, 5534, 1012, 1996, 6463, 1997, 4252, 3095, 2000, 2493, 2003, 13115, 2007, 2008, 2012, 1996, 7819, 1011, 2137, 7069, 5534, 1998, 2003, 2947, 1996, 7290, 1999, 1996, 2406, 1012, 2057, 5441, 1037, 6923, 6792, 2897, 2007, 2060, 2120, 1998, 2248, 4896, 1012, 1996, 3447, 1010, 2073, 1037, 3484, 1997, 2216, 4846, 2024, 5588, 4480, 1010, 2573, 2006, 1037, 17636, 3978, 1012, 2023, 2504, 1997, 2658, 2964, 12939, 2149, 12655, 15958, 2000, 3579, 2006, 2470, 1998, 4252, 5704, 2302, 2108, 17666, 6850, 2011, 7149, 2007, 3831, 8518, 1012, 1999, 2804, 1010, 5588, 15032, 2066, 2000, 2224, 2256, 3075, 2000, 7323, 2037, 2219, 2470, 1012, 2021, 1996, 2783, 3663, 5836, 1037, 28616, 9289, 19879, 3508, 2011, 1996, 2231, 1012, 2027, 2763, 2245, 2008, 2045, 2052, 2022, 1037, 2307, 3066, 1997, 21103, 2875, 1996, 8292, 2226, 1999, 1996, 7289, 5588, 3834, 2451, 1998, 2008, 2045, 2052, 2022, 2053, 17725, 4559, 2000, 1996, 3832, 8503, 1012, 2612, 1010, 5588, 15032, 2031, 7645, 14657, 2007, 2149, 1012, 2130, 4603, 15032, 2031, 2587, 1996, 6186, 1012, 2064, 2057, 3531, 2012, 2023, 2391, 2175, 2058, 1996, 2607, 1997, 2824, 1029, 2054, 2003, 1996, 17873, 1997, 1996, 2087, 2590, 10444, 1029, 2009, 2001, 1996, 5588, 2231, 2040, 3107, 1037, 4433, 2375, 1999, 3323, 1999, 2233, 2008, 2052, 4652, 1996, 2506, 4598, 1997, 1996, 8292, 2226, 2004, 1997, 2760, 1012, 1996, 2375, 2052, 2031, 4504, 1999, 1996, 4566, 1997, 4252, 3450, 1012, 2023, 2003, 1996, 2783, 3423, 2597, 1012, 2005, 1996, 3247, 2000, 2022, 8001, 2052, 5478, 2593, 2047, 4277, 2030, 1037, 3563, 2375, 2058, 6820, 2989, 1996, 3025, 2375, 1012, 1996, 3793, 1997, 1996, 2375, 2001, 4567, 2039, 2011, 1996, 2231, 2302, 16053, 1012, 2009, 5942, 1996, 8292, 2226, 2000, 5441, 1037, 4252, 4322, 1999, 1996, 3915, 2004, 2092, 2013, 2279, 2095, 1010, 1998, 2005, 2256, 2157, 2000, 4839, 1999, 10926, 2000, 2022, 3395, 2000, 17758, 10540, 1012, 5502, 3973, 17727, 22648, 22723, 3468, 1998, 21873, 1999, 6958, 1012, 2057, 2020, 6135, 4895, 28139, 19362, 2098, 2005, 2151, 1997, 2023, 1010, 1998, 2008, 2001, 1996, 6808, 1012, 1996, 4433, 2375, 6003, 2013, 13489, 19607, 2319, 1521, 1055, 5110, 11800, 4418, 1012, 2021, 2057, 4694, 1521, 1056, 1996, 2069, 3924, 2027, 2359, 2000, 2202, 2011, 4474, 1012, 1996, 10935, 2015, 1521, 3034, 1998, 1996, 2914, 1997, 4163, 2020, 10655, 2196, 4778, 2000, 2151, 16053, 2015, 1012, 5373, 1010, 2122, 4230, 2024, 2356, 2000, 2507, 2037, 5448, 1999, 5083, 2006, 2151, 7040, 12473, 1996, 5588, 3020, 2495, 2451, 1012, 7297, 1010, 2045, 2001, 2053, 12016, 2007, 1996, 2942, 2326, 1012, 2023, 2003, 2200, 11341, 1010, 2445, 2008, 2116, 4884, 10340, 2024, 2788, 4567, 2039, 2011, 1996, 2942, 2326, 2993, 1012, 2633, 1010, 1996, 2375, 2001, 3435, 1011, 12808, 2083, 1996, 5768, 4574, 1010, 1998, 1996, 26000, 17112, 5768, 10284, 3209, 2020, 2716, 2046, 2240, 2011, 2965, 1997, 1037, 14412, 4502, 3468, 14987, 2000, 3789, 1999, 10388, 2007, 1996, 2283, 3343, 1012, 2023, 7545, 2149, 14477, 6767, 8524, 6321, 2000, 4968, 4331, 1999, 5872, 1012, 1999, 2230, 1010, 1996, 6996, 2283, 1010, 26000, 17112, 1010, 2104, 13489, 19607, 2319, 1010, 2180, 5187, 1003, 1997, 1996, 4494, 1999, 1996, 2120, 3864, 1012, 2138, 1997, 1996, 6092, 20204, 1010, 2023, 2765, 2001, 2438, 2000, 2507, 2068, 1037, 2048, 1011, 12263, 3484, 1999, 1996, 3323, 1010, 1037, 3484, 2029, 2038, 2218, 2144, 2059, 1012, 2023, 2373, 2003, 2108, 2109, 2000, 1996, 2440, 1012, 2034, 1010, 1037, 2047, 4552, 2001, 3724, 2083, 1025, 2059, 1996, 2291, 1997, 6543, 17842, 2001, 9114, 1025, 1998, 2059, 1996, 4071, 1997, 1996, 2811, 2001, 7775, 1012, 2085, 3310, 1996, 7593, 2058, 1996, 8292, 2226, 1012, 1999, 2804, 1010, 1998, 1999, 5903, 1010, 1037, 2375, 2038, 2042, 2404, 1999, 4367, 2008, 27885, 3669, 8449, 22165, 2000, 13520, 3209, 3097, 1011, 6787, 8593, 2065, 2027, 4374, 2062, 2084, 1002, 2423, 1010, 2199, 1997, 2248, 3361, 2490, 1012, 2054, 7607, 2023, 6745, 9686, 25015, 3508, 1029, 1999, 2760, 2120, 3864, 2097, 2022, 2218, 1012, 1996, 2231, 2003, 3554, 2005, 2491, 2058, 2270, 5448, 1012, 2017, 2031, 2000, 4562, 2008, 1999, 2568, 1999, 2344, 2000, 3305, 2054, 2003, 2183, 2006, 1012, 2009, 1521, 1055, 2055, 4526, 22132, 3240, 3549, 1012, 1996, 8292, 2226, 2003, 10862, 3615, 2000, 2004, 1996, 1520, 2061, 7352, 2118, 1521, 1010, 1998, 2714, 9887, 2024, 2109, 2114, 1996, 22165, 1012, 2023, 1520, 12943, 4183, 21572, 2361, 1521, 2573, 2004, 1037, 20150, 5649, 19717, 1012, 1996, 16311, 1997, 7897, 1999, 1996, 2406, 3402, 17144, 2013, 1996, 2270, 17763, 1012, 1996, 2755, 2003, 2008, 17353, 2040, 2024, 2814, 1997, 13489, 19607, 2319, 2024, 3352, 1996, 18429, 2273, 1999, 1996, 2406, 1998, 2024, 25933, 18965, 18783, 7177, 1012, 1996, 3291, 1997, 7320, 7897, 2001, 2012, 2028, 2051, 1996, 3579, 1997, 6387, 3086, 1010, 1998, 2009, 2001, 10317, 15011, 2000, 13489, 19607, 2319, 1012, 2002, 2001, 10148, 2012, 2008, 2391, 2011, 1996, 2755, 2008, 1996, 13141, 5325, 3402, 2150, 1996, 7444, 3277, 1012, 2012, 1996, 2168, 2051, 1996, 2231, 2003, 3902, 6588, 7694, 1996, 4011, 2236, 3171, 8797, 1012, 10126, 2166, 1010, 2006, 1996, 2060, 2192, 1010, 2003, 6817, 2011, 14886, 3785, 1999, 1996, 2740, 1998, 2495, 2578, 1012, 1996, 2755, 2008, 1996, 5561, 8503, 1997, 1996, 8292, 2226, 2038, 2419, 3495, 1998, 17351, 2000, 1996, 5221, 8090, 1999, 1996, 2406, 2005, 2086, 2064, 2069, 2022, 5319, 2114, 2023, 4281, 1012, 2077, 1996, 8090, 2114, 1996, 5561, 8503, 1997, 1996, 8292, 2226, 1010, 2045, 2020, 2525, 5860, 11795, 7028, 5751, 1997, 2166, 2013, 1996, 5588, 4559, 2389, 2270, 10336, 1012, 8090, 2020, 2218, 2114, 9936, 1996, 4386, 2399, 1999, 10926, 1999, 16798, 2549, 1012, 1996, 2929, 2003, 4593, 2130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2725, 3313, 4830, 11362, 1024, 22933, 2099, 16055, 10469, 3399, 1998, 3218, 2234, 2362, 2012, 2054, 2071, 2022, 1996, 2034, 1997, 2116, 3313, 4830, 11362, 2824, 1012, 3313, 4830, 11362, 1024, 1037, 10469, 2154, 1997, 2437, 2001, 7362, 2011, 10768, 8737, 25114, 1012, 6627, 1010, 1037, 2177, 1997, 6840, 2389, 10469, 2015, 2012, 2330, 6845, 2040, 6148, 2000, 8849, 1998, 5333, 7073, 1997, 10469, 3314, 1999, 16731, 2072, 1012, 4850, 7556, 1998, 5553, 2483, 1010, 2048, 1997, 1996, 2364, 22933, 2869, 1997, 1996, 2724, 1010, 7686, 2006, 2129, 2477, 2253, 1012, 2057, 2018, 2107, 3893, 12247, 2055, 3313, 4830, 11362, 1024, 1037, 10469, 2154, 1997, 2437, 2013, 2256, 6818, 1006, 1998, 2057, 2036, 2428, 5632, 2009, 9731, 999, 1007, 2008, 2057, 2245, 2009, 2052, 2022, 3835, 2000, 2448, 1037, 2714, 2724, 2153, 1012, 2383, 2056, 2023, 1010, 2057, 2036, 2228, 2008, 2009, 2052, 2022, 2307, 2000, 2448, 2714, 2824, 2006, 2367, 7832, 1006, 14635, 2001, 3243, 7477, 1011, 4208, 1007, 1010, 2448, 2011, 2367, 2111, 1010, 1999, 2367, 3182, 1012, 2061, 1010, 2065, 2017, 2165, 2112, 1999, 3313, 4830, 11362, 1010, 5720, 2000, 2619, 2040, 2106, 1010, 2030, 2387, 9017, 1998, 4109, 1997, 1996, 2724, 2006, 2591, 2865, 1998, 4669, 2054, 2017, 2387, 1010, 2057, 1521, 2310, 2288, 1037, 7438, 2005, 2017, 999, 3313, 4830, 11362, 2428, 2003, 2055, 1996, 2111, 2040, 2272, 1516, 2009, 1521, 1055, 2055, 2216, 2040, 3677, 1037, 13498, 1998, 7374, 1996, 3450, 1010, 1998, 2055, 1996, 5379, 3863, 2008, 5158, 2006, 1996, 2154, 1012, 2061, 2191, 2008, 2115, 3579, 1999, 1996, 4041, 1997, 1996, 2724, 1012, 5525, 1010, 2053, 2048, 2824, 2097, 2022, 1996, 2168, 1010, 1998, 2926, 2007, 1037, 2944, 2107, 2004, 3313, 4830, 11362, 1010, 1996, 2111, 2920, 2428, 4338, 2054, 2009, 1521, 1055, 2183, 2000, 2298, 2066, 1012, 2383, 2056, 2008, 1010, 2917, 2057, 2507, 2017, 2592, 2006, 1996, 3145, 5502, 2389, 19199, 2015, 2057, 2979, 1999, 1996, 2448, 1011, 2039, 2000, 1996, 2034, 3313, 4830, 11362, 1012, 2057, 2097, 2036, 2421, 1037, 2261, 11746, 2006, 2129, 2070, 1997, 2122, 2071, 2022, 5301, 1012, 14357, 13498, 6184, 1999, 2285, 1010, 2057, 17640, 2019, 1041, 1011, 5653, 1999, 2004, 2116, 2367, 5653, 2075, 7201, 2057, 2071, 2228, 1997, 1012, 2057, 2318, 2125, 2007, 1996, 1042, 9333, 2050, 1998, 7939, 5653, 2075, 7201, 1006, 2138, 2008, 1521, 1055, 2073, 2057, 2288, 2256, 4804, 1007, 1010, 2021, 2036, 2081, 2469, 2000, 3659, 2009, 2004, 2521, 1998, 2898, 2004, 2057, 2071, 1012, 2057, 4207, 1996, 2655, 2005, 6577, 2007, 2256, 22565, 1998, 2356, 2068, 2000, 3745, 2009, 1999, 2037, 2219, 6125, 1010, 2057, 4207, 2009, 2007, 8142, 2118, 1998, 2167, 25438, 4360, 2118, 2470, 2967, 1010, 1998, 2356, 2216, 2000, 3745, 2009, 2426, 2037, 2219, 6125, 2205, 1012, 2057, 2036, 2741, 2070, 2200, 9416, 1041, 1011, 5653, 2000, 2111, 2057, 2525, 2354, 1006, 2043, 2057, 2106, 2023, 2057, 2109, 1996, 2168, 1041, 1011, 5653, 2004, 2057, 2741, 2000, 5653, 2075, 7201, 1010, 2021, 4600, 3167, 5084, 2009, 2000, 1996, 2711, 2057, 2020, 3967, 2075, 1007, 1012, 2057, 2245, 1997, 2111, 3183, 2057, 2245, 2052, 2022, 4699, 1999, 2019, 2724, 2066, 2023, 1025, 2057, 2036, 2356, 2068, 2000, 2059, 3745, 1996, 2655, 2582, 1012, 1999, 2023, 2126, 1010, 2070, 1997, 1996, 13498, 6184, 2020, 2584, 2025, 2069, 2011, 1996, 1041, 1011, 5653, 2057, 2741, 2041, 3081, 5653, 2075, 7201, 1010, 2021, 2036, 2083, 8203, 10402, 2057, 2018, 1012, 2023, 2003, 1996, 1041, 1011, 5653, 2057, 4207, 1024, 2017, 2024, 4778, 2000, 2202, 2112, 1999, 3313, 4830, 11362, 1024, 1037, 10469, 2154, 1997, 2437, 999, 3313, 4830, 11362, 2003, 1037, 8395, 7161, 2000, 2958, 10469, 3399, 1998, 3218, 2083, 1996, 3218, 1997, 2437, 2006, 1996, 4343, 1997, 2337, 2418, 2012, 1996, 2911, 3051, 2396, 3916, 1999, 6733, 4974, 1012, 1996, 6614, 1997, 1996, 2724, 2003, 2000, 3443, 1037, 4989, 1997, 9123, 4830, 11362, 3703, 12786, 2536, 1997, 5541, 3450, 1998, 10469, 8106, 1012, 2362, 2057, 2097, 3857, 1037, 12317, 2686, 2000, 8526, 1999, 6594, 1998, 2437, 1012, 2057, 2024, 2559, 2005, 6818, 1998, 6184, 1012, 6818, 2064, 4236, 2012, 2023, 4957, 1024, 11515, 7875, 3468, 1012, 2724, 23736, 2618, 1012, 2522, 1012, 2866, 2057, 2024, 2036, 2559, 2005, 4056, 6184, 2040, 2064, 3288, 2247, 3716, 2015, 2105, 2593, 10469, 8106, 1998, 1013, 2030, 1006, 5541, 1007, 3218, 1012, 2005, 2742, 1024, 3181, 1010, 3451, 1010, 3171, 1010, 9569, 1010, 2030, 2591, 7339, 1997, 20050, 2015, 2030, 1062, 3170, 11153, 1010, 3324, 1010, 9736, 1010, 5389, 1010, 11153, 1010, 17792, 1011, 9543, 5484, 2545, 1010, 7477, 2545, 1010, 2030, 4984, 2854, 1011, 16657, 1012, 2057, 2228, 2008, 2115, 3327, 11532, 3617, 2437, 1010, 7477, 2075, 1010, 1998, 2236, 4487, 2100, 3084, 2017, 12476, 999, 2061, 3531, 2393, 2041, 999, 1029, 1029, 1029, 1029, 2077, 1996, 2724, 1010, 2057, 2097, 2022, 27025, 2039, 1037, 1520, 24241, 1521, 1998, 1037, 1520, 18742, 1521, 2000, 3677, 1037, 13498, 2362, 2006, 1996, 2154, 1012, 2057, 2097, 8970, 2017, 2000, 2169, 2060, 1999, 2019, 1041, 1011, 5653, 1998, 3198, 2169, 24241, 2000, 7374, 1037, 2261, 3241, 2685, 2005, 6818, 2000, 8849, 1998, 2169, 18742, 2000, 7374, 1037, 2460, 4023, 2005, 6818, 2000, 2202, 2112, 1999, 1012, 2065, 2017, 2052, 2066, 2000, 2022, 2920, 1010, 3531, 3432, 7514, 2000, 2023, 1041, 1011, 5653, 1010, 1998, 2057, 2097, 2059, 2707, 2000, 2147, 2041, 1996, 4751, 1012, 2057, 2024, 2200, 2172, 2559, 2830, 2000, 4994, 2055, 2017, 1998, 2115, 4813, 2004, 2057, 2228, 2008, 2115, 5792, 2006, 2023, 2724, 2003, 2054, 2097, 4821, 2191, 2009, 2569, 999, 4850, 7556, 1010, 5553, 2483, 1010, 5616, 1010, 12849, 1011, 3393, 1010, 6330, 1010, 6415, 1010, 1998, 1996, 2717, 1997, 10768, 8737, 25114, 1012, 6627, 1006, 1030, 10768, 8737, 25114, 15007, 1007, 2023, 2724, 2003, 1037, 5792, 2090, 10768, 8737, 25114, 1012, 6627, 1998, 1996, 2911, 3051, 2396, 3916, 1998, 2003, 6787, 2011, 1996, 10469, 1998, 2308, 1521, 1055, 2913, 2523, 1006, 1042, 9333, 2050, 1007, 1010, 1996, 3617, 4610, 2897, 1006, 7939, 1007, 1010, 2330, 6845, 1010, 1998, 1996, 2803, 2005, 11316, 2731, 1999, 3617, 8388, 2015, 1012, 2057, 2036, 2794, 2256, 3313, 4830, 11362, 23821, 2000, 1996, 5653, 2075, 2862, 2061, 2111, 2071, 6140, 2023, 1998, 3745, 2009, 8186, 1006, 2245, 1045, 1521, 1049, 2025, 2469, 3087, 2941, 2106, 2008, 1029, 1007, 2054, 2057, 20215, 2013, 2023, 2832, 2001, 2008, 1996, 2062, 7578, 1996, 5653, 2075, 7201, 2017, 4604, 2023, 2000, 2024, 1010, 1996, 2062, 7578, 1996, 2724, 2097, 2022, 1012, 2057, 4207, 2009, 7249, 2057, 2071, 2228, 1997, 1010, 1998, 2144, 2057, 9731, 2035, 2031, 10402, 1999, 2116, 2367, 12736, 2057, 2020, 2583, 2000, 2079, 2023, 1012, 2057, 2052, 2428, 8627, 1996, 5502, 2389, 2136, 2000, 2022, 2004, 7578, 2004, 2825, 2182, 2205, 1012, 1998, 2000, 2031, 1037, 2136, 1997, 2111, 2040, 2024, 5627, 2000, 3745, 2592, 2055, 1996, 2724, 2130, 2065, 2027, 2024, 2025, 9352, 2920, 1999, 1996, 9152, 15353, 1011, 24842, 3723, 1997, 21317, 1996, 2154, 2004, 1037, 2878, 1012, 2178, 10800, 2057, 20215, 2013, 6016, 2041, 2023, 2655, 2005, 4981, 2003, 2008, 2057, 2428, 2066, 2478, 3834, 2653, 2004, 8065, 2493, 999, 21089, 2023, 1997, 2607, 8092, 2040, 2097, 3191, 1998, 10509, 2000, 1996, 1041, 1011, 5653, 2015, 1006, 2256, 2724, 1999, 1996, 2203, 2001, 2200, 16926, 1011, 4208, 1010, 2295, 2057, 2106, 2031, 1037, 2193, 1997, 6818, 2040, 2024, 2025, 2551, 1999, 2023, 2686, 1007, 1012, 8410, 2013, 1996, 2911, 3051, 1998, 15146, 3271, 2149, 2735, 1996, 12935, 2361, 2046, 2625, 3834, 3793, 2005, 1996, 2911, 3051, 1521, 1055, 4037, 1998, 2256, 2724, 23736, 2618, 3931, 1012, 2023, 2001, 2590, 2000, 2149, 2144, 2057, 2134, 1521, 1056, 2215, 2035, 26727, 2000, 2022, 2013, 16926, 1516, 2096, 2256, 13498, 6184, 2020, 3262, 2013, 3834, 7925, 1010, 1996, 2724, 2001, 4011, 2000, 2022, 7801, 2000, 2035, 2216, 5873, 1996, 3916, 2040, 2079, 2025, 9352, 2031, 3834, 15406, 1012, 22778, 13498, 6184, 2320, 2057, 2363, 2460, 16012, 2015, 1998, 4784, 2013, 2035, 2256, 13498, 6184, 1010, 2057, 2211, 22778, 2068, 2039, 1012, 2023, 4023, 3092, 2039, 2108, 1037, 2843, 2062, 3697, 2084, 1045, 2018, 2761, 2245, 1012, 2009, 1521, 1055, 3243, 2524, 2000, 2424, 9844, 4784, 2096, 2145, 2437, 2469, 2008, 1996, 2048, 6184, 2024, 2367, 2438, 2000, 4119, 6184, 2000, 2191, 2037, 19753, 2004, 6970, 1011, 1998, 2892, 1011, 17972, 2004, 2825, 1012, 5553, 2483, 1998, 1045, 2018, 2116, 11450, 1998, 27758, 2015, 1997, 13498, 1011, 19780, 2015, 1012, 2057, 2359, 2000, 3046, 2000, 2674, 2039, 5426, 1010, 2021, 2036, 5676, 2057, 2018, 1037, 8906, 1997, 19753, 1012, 1045, 2228, 2023, 2832, 2097, 2467, 2022, 2524, 1010, 2021, 6595, 1999, 3967, 2007, 1998, 4083, 2062, 2055, 2169, 13498, 3677, 2081, 2023, 2112, 1006, 1037, 2210, 4714, 2978, 1007, 6082, 1012, 1999, 2893, 2000, 2113, 2068, 1998, 2037, 3450, 1010, 2057, 2020, 2583, 2000, 3275, 2041, 2054, 19394, 2075, 4813, 2020, 2734, 2000, 2490, 2004, 2116, 1997, 1996, 4784, 2004, 13498, 6184, 2018, 2004, 2825, 1012, 2320, 2057, 2345, 5084, 2256, 2862, 1997, 6062, 1010, 2057, 2741, 2169, 3232, 2019, 1041, 1011, 5653, 2073, 2057, 3107, 1996, 5826, 2000, 2028, 2178, 1012, 2182, 1521, 1055, 2019, 2742, 1997, 2019, 1041, 1011, 5653, 2057, 2741, 2041, 1024, 7592, 1031, 3677, 1015, 1033, 1998, 1031, 3677, 1016, 1033, 1010, 4067, 2017, 2005, 5599, 2149, 2113, 2017, 2020, 4699, 1999, 2770, 1037, 13498, 2012, 2256, 2724, 1999, 2337, 999, 2559, 2012, 2119, 1997, 2115, 5426, 1010, 2057, 2245, 2008, 2065, 2057, 12739, 2017, 2039, 1010, 2017, 2071, 2272, 2039, 2007, 2070, 2428, 5875, 3450, 1012, 1031, 3677, 1015, 1033, 2003, 1037, 1031, 2460, 3793, 2006, 2037, 5426, 1033, 1010, 1998, 1031, 3677, 1016, 1033, 2003, 1031, 2460, 3793, 2006, 2037, 5426, 1033, 1012, 3531, 2079, 2131, 2000, 2113, 2169, 2060, 1037, 2210, 2488, 1010, 1998, 2672, 2707, 2011, 3038, 7632, 2000, 2169, 2060, 2007, 1037, 2210, 2978, 1997, 18558, 2055, 2040, 2017, 2024, 1998, 2054, 2115, 5426, 2024, 1012, 3531, 2404, 2115, 4641, 2362, 2000, 2272, 2039, 2007, 2019, 4023, 2008, 2003, 12379, 1010, 1998, 15581, 3085, 2000, 1037, 2193, 1997, 2367, 3798, 1997, 8066, 1025, 1045, 1521, 1049, 2469, 2009, 2097, 2022, 5875, 999, 1996, 2801, 2005, 1996, 2154, 2003, 2008, 2045, 2097, 2022, 3450, 2005, 6818, 2000, 8526, 1999, 1006, 1996, 19753, 1007, 2008, 2027, 2064, 5454, 2000, 5247, 2004, 2172, 2030, 2004, 2210, 2051, 2007, 2004, 2027, 2066, 1012, 2058, 6265, 1010, 2057, 3246, 2008, 2111, 2272, 2362, 2000, 4503, 2070, 4784, 1997, 3934, 2000, 2448, 1999, 1996, 5027, 1010, 2073, 2967, 1997, 2111, 2097, 2147, 2362, 2000, 4503, 2070, 4066, 1997, 2518, 2000, 2059, 3745, 2007, 1996, 2717, 1997, 3313, 4830, 11362, 26727, 1012, 1045, 1521, 1049, 2428, 2559, 2830, 2000, 4994, 2062, 2055, 2054, 2017, 2097, 2272, 2039, 2007, 1010, 1998, 2061, 2057, 2064, 2292, 26727, 2113, 1037, 2210, 2978, 2055, 2054, 2057, 2031, 3740, 1010, 2009, 2052, 2022, 2307, 2065, 2017, 2071, 3531, 4604, 2149, 1037, 1006, 2200, 1007, 2460, 12685, 1997, 1996, 4023, 2017, 2052, 2066, 2000, 2079, 1010, 2004, 2092, 2004, 1016, 1011, 1017, 11746, 2006, 25035, 1006, 2514, 2489, 2000, 2421, 2115, 10474, 16024, 1007, 2011, 6928, 1996, 13928, 1997, 2254, 1012, 2057, 1521, 1040, 2066, 2000, 2404, 2023, 2039, 2006, 2256, 4037, 1010, 1998, 2059, 3745, 2009, 2006, 2256, 2591, 2865, 1012, 21250, 1010, 4850, 7556, 1998, 5553, 2483, 2044, 2023, 1041, 1011, 5653, 2001, 2741, 2041, 2057, 2318, 4909, 2070, 12247, 2013, 1996, 6184, 1010, 1998, 2057, 2363, 2035, 1996, 2592, 2057, 2734, 2011, 1996, 13386, 1006, 2029, 2003, 6429, 1516, 1045, 1521, 2310, 7362, 2060, 2824, 2073, 2009, 2165, 2149, 5535, 2000, 2131, 1037, 2907, 1997, 2035, 1996, 2157, 2592, 1007, 1012, 1996, 2051, 2090, 1996, 6016, 1997, 2023, 1041, 1011, 5653, 1998, 1996, 13928, 1997, 2254, 2174, 2001, 1037, 3697, 2028, 1012, 2057, 4694, 1521, 1056, 2469, 3251, 2035, 1996, 6184, 2020, 3407, 2007, 2037, 22778, 2030, 2065, 11450, 2018, 2318, 1012, 2009, 2052, 2031, 2042, 14044, 2000, 2421, 1037, 2240, 1999, 2008, 1041, 1011, 5653, 4851, 2005, 1037, 2210, 2978, 1997, 1037, 7615, 2030, 2070, 12247, 2055, 1996, 5792, 2077, 1996, 13928, 1997, 2254, 1012, 2074, 1037, 2210, 3602, 2000, 2292, 2149, 22933, 2869, 2113, 2008, 1996, 6184, 2020, 3407, 2007, 1996, 19780, 1998, 2008, 2027, 2020, 2383, 11450, 2007, 2169, 2060, 1012, 2000, 13024, 6818, 1010, 2057, 2506, 2000, 3745, 1996, 2724, 23736, 2618, 4957, 2006, 2256, 3167, 1998, 10768, 8737, 25114, 1012, 6627, 2591, 2865, 6115, 1012, 1996, 7939, 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, 5597, 1998, 6747, 1996, 5597, 8882, 2012, 17935, 25450, 2015, 2038, 2042, 2881, 2000, 3499, 2493, 2000, 4503, 1037, 26364, 1997, 1996, 5041, 2846, 1997, 7832, 3139, 2802, 3145, 5711, 1017, 1010, 1018, 1998, 1019, 1012, 2004, 2092, 2004, 1037, 5995, 1997, 4824, 1010, 2057, 13566, 2000, 5326, 1037, 10628, 1998, 20195, 1997, 1996, 3395, 1010, 1998, 5676, 2008, 2035, 2493, 2024, 2583, 2000, 3362, 2037, 4022, 2306, 1996, 3395, 1012, 21923, 1997, 8785, 2015, 2003, 1037, 3145, 3579, 2802, 1996, 8882, 1010, 12725, 2493, 2024, 5117, 2011, 3773, 2129, 2027, 2061, 4703, 2224, 8785, 2015, 1010, 2411, 2302, 27504, 2009, 1010, 1998, 2129, 2037, 8785, 2015, 4824, 14172, 2061, 2092, 2046, 2060, 2752, 1010, 2004, 2205, 2515, 2037, 10616, 1997, 4813, 2107, 2004, 8433, 2046, 8785, 2015, 1012, 1996, 3716, 1998, 4813, 2764, 2802, 2037, 2913, 1010, 2004, 2092, 2004, 1996, 15644, 2493, 6162, 1999, 1996, 3395, 1010, 2323, 1041, 15549, 2361, 2068, 2593, 2000, 7323, 1037, 2925, 5702, 1998, 2551, 2306, 8785, 2015, 1010, 2030, 2000, 2224, 1999, 1037, 2898, 2846, 1997, 10922, 1998, 16820, 1012, 2035, 2493, 2012, 17935, 25450, 2015, 2024, 4036, 1999, 24374, 1010, 11973, 8220, 1010, 2073, 11143, 1997, 4824, 2024, 10641, 1010, 1998, 12225, 1998, 2460, 12690, 2015, 2024, 22585, 1012, 2012, 2296, 2825, 4495, 7604, 2000, 21923, 1999, 10126, 2166, 1010, 2925, 10922, 1998, 2892, 1011, 12731, 21231, 6971, 2024, 12045, 2081, 2000, 2493, 1012, 1996, 7902, 1997, 8050, 4813, 2107, 2004, 1996, 6149, 2224, 1997, 2653, 2003, 5710, 2083, 2035, 3145, 5711, 1012, 2493, 1999, 2095, 1021, 2024, 4036, 1999, 14924, 2967, 1998, 2031, 1037, 8882, 16441, 1996, 3921, 1997, 4252, 2005, 26364, 1012, 2023, 2965, 2035, 2493, 2031, 1996, 4495, 2000, 4553, 2047, 4813, 2007, 1037, 2784, 4824, 1997, 2339, 2027, 2147, 1010, 1998, 2073, 1996, 7264, 2090, 2536, 8045, 2752, 2024, 1010, 2004, 2092, 2004, 9186, 2006, 1998, 11495, 4813, 2764, 2802, 1996, 3145, 2754, 1016, 8882, 1012, 2073, 4072, 1996, 8882, 2003, 24374, 1010, 1999, 3408, 1997, 1996, 4180, 3139, 1010, 5834, 2006, 1996, 14924, 2177, 2009, 2003, 2108, 2109, 2007, 1012, 1996, 4180, 1997, 8220, 2003, 8219, 2012, 1996, 3020, 18759, 2545, 1999, 8220, 1010, 2007, 7218, 20582, 2005, 2216, 2007, 2896, 3188, 18759, 3672, 1012, 2045, 2024, 2195, 7832, 4208, 2006, 1999, 2095, 1021, 1012, 15847, 1010, 2193, 4813, 1010, 2164, 1996, 2224, 1997, 1996, 2176, 3136, 1010, 26939, 1010, 2051, 1998, 2769, 1010, 5876, 1998, 3674, 2015, 1010, 2344, 1997, 3136, 1010, 1998, 2675, 1998, 14291, 3616, 1012, 2101, 1999, 1996, 2095, 2122, 2193, 4813, 2024, 2764, 2582, 2000, 2421, 12884, 2015, 1010, 26066, 2015, 1998, 7017, 2015, 1999, 2536, 18046, 1012, 1996, 2117, 8476, 1010, 2029, 2003, 4208, 2006, 2004, 1037, 8066, 2004, 2092, 2004, 1037, 2047, 8476, 1010, 2003, 11208, 1010, 2164, 21934, 28250, 2075, 1010, 20885, 1010, 1998, 13729, 11380, 1012, 2153, 2023, 2003, 2242, 2029, 2003, 2764, 2802, 1996, 2095, 1010, 1999, 2023, 2553, 3031, 10071, 1998, 19287, 1012, 1996, 25512, 2058, 2906, 8450, 8476, 2005, 1996, 2095, 2003, 6747, 1998, 2951, 1010, 2164, 9723, 1010, 20302, 7274, 2075, 2951, 1010, 1998, 14962, 2951, 1012, 1996, 2345, 8476, 3139, 2003, 10988, 1010, 5398, 1999, 2095, 1021, 1997, 14134, 1998, 7605, 10466, 1010, 13443, 1998, 2181, 1010, 1998, 6466, 3513, 1012, 2073, 2122, 7832, 2031, 2042, 3107, 1999, 3145, 2754, 2048, 1010, 1996, 3579, 2003, 2006, 2784, 7406, 4824, 1998, 10917, 1998, 10368, 2000, 3020, 2504, 3980, 1012, 2493, 4453, 2004, 2025, 1520, 3905, 3201, 1521, 2024, 2443, 1999, 2256, 2095, 1021, 4608, 1011, 2039, 4746, 1010, 2419, 2011, 1037, 3836, 2007, 3325, 1999, 3145, 2754, 1016, 1012, 2083, 20001, 7667, 1010, 2009, 2003, 7594, 2004, 2000, 2043, 2493, 2024, 2059, 2641, 2000, 2022, 1520, 3905, 3201, 1521, 1010, 1998, 2023, 4473, 2493, 2000, 3143, 1996, 4746, 1010, 5819, 2037, 5082, 2003, 2145, 17785, 2011, 1996, 2465, 3836, 1010, 3145, 2754, 3003, 1998, 3395, 3003, 1012, 3020, 26615, 2493, 2024, 3253, 1996, 3382, 2000, 2202, 2112, 1999, 1996, 2866, 20492, 3502, 8785, 2015, 4119, 1010, 4352, 2068, 2000, 4503, 2037, 4824, 1997, 3291, 13729, 5819, 5128, 2037, 4813, 2114, 2493, 1997, 2714, 18759, 3672, 9582, 1012, 6974, 8830, 2003, 22485, 2011, 2256, 2095, 1021, 1004, 1022, 8830, 10669, 1010, 2040, 7889, 2536, 2493, 2241, 2006, 1037, 3327, 3579, 1010, 2164, 3145, 2967, 2107, 2004, 4903, 2290, 1998, 12411, 1012, 2493, 1999, 2095, 1022, 2024, 2404, 2046, 2093, 4520, 2306, 2093, 3816, 3754, 4996, 1012, 1996, 8882, 4130, 2122, 2493, 3582, 2097, 2022, 4340, 2011, 2029, 2275, 2027, 2024, 1999, 2306, 2037, 7972, 4996, 1012, 2023, 24374, 3921, 2000, 1996, 8882, 4473, 3020, 26615, 2493, 2000, 2022, 7121, 1998, 8315, 2802, 2037, 2913, 1999, 2035, 4520, 1010, 2784, 7406, 2037, 4824, 1997, 1037, 2846, 1997, 2152, 1011, 2504, 7832, 1010, 5819, 2216, 2007, 2896, 3188, 18759, 3672, 2024, 2445, 2062, 2051, 2000, 4503, 2037, 4824, 1998, 3929, 3040, 1996, 4072, 4813, 2000, 5082, 3031, 1996, 2062, 10368, 2752, 1012, 1999, 2095, 1022, 1996, 3579, 2003, 2006, 10449, 2047, 7832, 2013, 1996, 3145, 2754, 1017, 8882, 5819, 2036, 4975, 2006, 2216, 2008, 2020, 3107, 1999, 2095, 1021, 1012, 2004, 2007, 2095, 1021, 1010, 1996, 3988, 3579, 2003, 2006, 2193, 4813, 1010, 2069, 2023, 2051, 2559, 2012, 3539, 5876, 1010, 3115, 2433, 1010, 29299, 1998, 3278, 4481, 1012, 2023, 2036, 6971, 2000, 1996, 6463, 1998, 10817, 4180, 3139, 2101, 1999, 1996, 2095, 1012, 12884, 2015, 1010, 26066, 2015, 1998, 7017, 2015, 2024, 2764, 2582, 2101, 1999, 2095, 1022, 2004, 2092, 1012, 11208, 4824, 1998, 2224, 2003, 3668, 2046, 2095, 1022, 1010, 2007, 2062, 1997, 1037, 3579, 2006, 11380, 1998, 11383, 2000, 3291, 13729, 1010, 2004, 2092, 2004, 2478, 11208, 20477, 2135, 1012, 6747, 2003, 2579, 2582, 2007, 1996, 4955, 1997, 2060, 3596, 1997, 20302, 7274, 2075, 1998, 14962, 2951, 1010, 2004, 2092, 2004, 2635, 9723, 2000, 1037, 2062, 10368, 6123, 1012, 2633, 1996, 14965, 2389, 3787, 1997, 8785, 2015, 2024, 2764, 2046, 2095, 1022, 1010, 2559, 2012, 2181, 1010, 13443, 1998, 3872, 1999, 2062, 10368, 18046, 1012, 2004, 2007, 2095, 1021, 1010, 1996, 2095, 1021, 1004, 1022, 8830, 10669, 22558, 1996, 9347, 1997, 8830, 2005, 2023, 2095, 2177, 1010, 2153, 2007, 1037, 3327, 3579, 1997, 3145, 2967, 1010, 18759, 3672, 1010, 4385, 1012, 3020, 26615, 2493, 1999, 2095, 1022, 2024, 3253, 1996, 4495, 2000, 2817, 2005, 2019, 3176, 8263, 1999, 8785, 2015, 1010, 8419, 1996, 2504, 1016, 3968, 10288, 29109, 2400, 1999, 11208, 1012, 2023, 14067, 1037, 6896, 2005, 1996, 3395, 2083, 14944, 2068, 2000, 1996, 2752, 1997, 8785, 2015, 2027, 2097, 2025, 8087, 1999, 3145, 2754, 1017, 1998, 11434, 2493, 2000, 5136, 11828, 2913, 1998, 1037, 2476, 1999, 8785, 2015, 1999, 1996, 2146, 1011, 2744, 1012, 2493, 2024, 2036, 2445, 1996, 3382, 2000, 2153, 2202, 2112, 1999, 1996, 2866, 20492, 3502, 8785, 2015, 4119, 1012, 2095, 1023, 2003, 2043, 2493, 2024, 2034, 2404, 2046, 2048, 3754, 1011, 2241, 4996, 1010, 2007, 2176, 4520, 1999, 1996, 3020, 2316, 1998, 2274, 1999, 1996, 2896, 2316, 1012, 2023, 4076, 2006, 2013, 1996, 8882, 4130, 1996, 2493, 2628, 1999, 2095, 1022, 1010, 1998, 2038, 1037, 2936, 1011, 2744, 3193, 1997, 1996, 2048, 1011, 7563, 2098, 1043, 6169, 2063, 11360, 2493, 2097, 2202, 2012, 1996, 2203, 1997, 2095, 2340, 1010, 5819, 12725, 2095, 1023, 5927, 1996, 6503, 1997, 1996, 26364, 1997, 1996, 3145, 2754, 1017, 8882, 1012, 2005, 2216, 2493, 2007, 3188, 18759, 3672, 2659, 2438, 2008, 3229, 2075, 1996, 3145, 2754, 1017, 8882, 2038, 2042, 3811, 10368, 1010, 1996, 4522, 2504, 1015, 4443, 2504, 2607, 2003, 3253, 2000, 5676, 2027, 2024, 6055, 2007, 1996, 3145, 4813, 2008, 2009, 4472, 1999, 2752, 2107, 2004, 5446, 1998, 2051, 1010, 5819, 2036, 3228, 2068, 1037, 23411, 8263, 1999, 5597, 1012, 2750, 2045, 2108, 5966, 1999, 1996, 8882, 4180, 2090, 4520, 2012, 2023, 2754, 1010, 2045, 3464, 2058, 2906, 8450, 12319, 1999, 1996, 7832, 1012, 2004, 2007, 2095, 1021, 1998, 1022, 2045, 2024, 3154, 7679, 2006, 1996, 2502, 8474, 1999, 8785, 2015, 1025, 2193, 4813, 1010, 11208, 1010, 6747, 1998, 2951, 1010, 1998, 10988, 1010, 2021, 1996, 6698, 2000, 2029, 2027, 2024, 2764, 2003, 3618, 1999, 2023, 2095, 1010, 12167, 2000, 2367, 11143, 5834, 2006, 1996, 3589, 1997, 1996, 8882, 2108, 3139, 2241, 2006, 2029, 2275, 2009, 2003, 7882, 2000, 1012, 1996, 2095, 1023, 1004, 2184, 8830, 10669, 22558, 1996, 8830, 9347, 1999, 2023, 2095, 2177, 1010, 1999, 1037, 2200, 2714, 6952, 2000, 2008, 1997, 2095, 1021, 1004, 1022, 1012, 3020, 26615, 2493, 1999, 2095, 1023, 5082, 2000, 1996, 7783, 2866, 20492, 8785, 2015, 4119, 1010, 4975, 2006, 1996, 4813, 2027, 2031, 2109, 1999, 1996, 3502, 4119, 2046, 1037, 2062, 10368, 6123, 1012, 1996, 4292, 1998, 2316, 2075, 2013, 2095, 1023, 2003, 5224, 2046, 2095, 2184, 1010, 2006, 1996, 2878, 1010, 1998, 2004, 1037, 2765, 2493, 5441, 2037, 4130, 2875, 1996, 2087, 6413, 1043, 6169, 2063, 11360, 2012, 1996, 2203, 1997, 1996, 3145, 2754, 1018, 8882, 1012, 3972, 6455, 2062, 2046, 1996, 3145, 2754, 1018, 7832, 4269, 2000, 14451, 2256, 3020, 26615, 2493, 2000, 1996, 7832, 2013, 1996, 3020, 2203, 1997, 1996, 8882, 1010, 5819, 1996, 2235, 4084, 26364, 3921, 4473, 2023, 2000, 2022, 2589, 2007, 7496, 1010, 12045, 7176, 2000, 3188, 4083, 1012, 2065, 2025, 2525, 2949, 1010, 2493, 2007, 1996, 7290, 3188, 18759, 3672, 2031, 1996, 4495, 2000, 3143, 1996, 2504, 1015, 4443, 2504, 8263, 1012, 2095, 2184, 2108, 1996, 2034, 3145, 2754, 1018, 2095, 2965, 1996, 7832, 3139, 4088, 2000, 25281, 1996, 2062, 10368, 2752, 1997, 8785, 2015, 1012, 2493, 2097, 2022, 6086, 2000, 8474, 2107, 2004, 13012, 7446, 8462, 11129, 1010, 12167, 2000, 16965, 11143, 1010, 2004, 2092, 2004, 2060, 10368, 14965, 2389, 8474, 2107, 2004, 4975, 4824, 1997, 1052, 22123, 3270, 20255, 3022, 1521, 9872, 1010, 21865, 1998, 21913, 1998, 1999, 2070, 3572, 2559, 2012, 4418, 9872, 2015, 1012, 6974, 1996, 2458, 1997, 11208, 4247, 2007, 1037, 3579, 2006, 17718, 23671, 2015, 1010, 4373, 24388, 2075, 3697, 5675, 2063, 1010, 17390, 12884, 2015, 1998, 2512, 1011, 7399, 19287, 1012, 4077, 2122, 3145, 7832, 2005, 1996, 1043, 6169, 2063, 2012, 1996, 2203, 1997, 2095, 2340, 1010, 2493, 2145, 4503, 2037, 26364, 1997, 4824, 1997, 8050, 8045, 4813, 2464, 2012, 3145, 2754, 2093, 1012, 1996, 2095, 1023, 1004, 2184, 8830, 10669, 22558, 1996, 9347, 1997, 2095, 2184, 1999, 2200, 2172, 1996, 2168, 2126, 2004, 2095, 1023, 1012, 1996, 3020, 18759, 2121, 9347, 2003, 2036, 2714, 1999, 2095, 2184, 2007, 1996, 2866, 20492, 8785, 2015, 4119, 2108, 3253, 2000, 2216, 3020, 2493, 1012, 2095, 2340, 2153, 5927, 1996, 4292, 1998, 2316, 2075, 2291, 3107, 1999, 2095, 1023, 5224, 1010, 1998, 2947, 1996, 8882, 2013, 2059, 4076, 2083, 2046, 1996, 2345, 2095, 1997, 3145, 2754, 1018, 2817, 1012, 1996, 11360, 7524, 2003, 2992, 1999, 2095, 2340, 2007, 7065, 17417, 3436, 3041, 3430, 2108, 1996, 3078, 3579, 3458, 1996, 10957, 3338, 1012, 1996, 10047, 2386, 11916, 1997, 1996, 1043, 6169, 2063, 14912, 5478, 1037, 8335, 4431, 2000, 2129, 2037, 4824, 2097, 2022, 4162, 2802, 2037, 2093, 11360, 4981, 1010, 1999, 2804, 2000, 1996, 2613, 1011, 2166, 19518, 1998, 7604, 2556, 2802, 2119, 3145, 5711, 1017, 1998, 1018, 1012, 1999, 2095, 2340, 1996, 4180, 3139, 2003, 4340, 2011, 1996, 7563, 1997, 4443, 2008, 2003, 2087, 6413, 2000, 2169, 3076, 1012, 2073, 1996, 3020, 3259, 2003, 2108, 2579, 1010, 2493, 2097, 2022, 6086, 2000, 1996, 3284, 2504, 1997, 3145, 2754, 2176, 7832, 1010, 2164, 8402, 4824, 1997, 7832, 2107, 2004, 4418, 9872, 2015, 1998, 13012, 7446, 8462, 11129, 1010, 5819, 2559, 2046, 2070, 2047, 4784, 2107, 2004, 10694, 26066, 2015, 1998, 13012, 7446, 28993, 19287, 1012, 2073, 1996, 3192, 3259, 2003, 2062, 6413, 1010, 1996, 8882, 2097, 2022, 21727, 2000, 10917, 1998, 10368, 2493, 2012, 1996, 7882, 4180, 2005, 2023, 3259, 1012, 1997, 2607, 2045, 2003, 1037, 2843, 1997, 16335, 1999, 1996, 2058, 2906, 8450, 6991, 1997, 1996, 2607, 1010, 1998, 2493, 1521, 4824, 1997, 8785, 2015, 1999, 1996, 7289, 2088, 2003, 2025, 17666, 6850, 2011, 1996, 3768, 1997, 7524, 2000, 4180, 3458, 1996, 3192, 3259, 1012, 1996, 3145, 2754, 1018, 2951, 1998, 8830, 3003, 3138, 3715, 1997, 1996, 4746, 2005, 8830, 2005, 2023, 2095, 2177, 1010, 2007, 1037, 3082, 3579, 2006, 1996, 5082, 1997, 2493, 2875, 2037, 4022, 10106, 2012, 1996, 2203, 1997, 1996, 3834, 2095, 1010, 2021, 2007, 2019, 10318, 5197, 2872, 2006, 1996, 3145, 2967, 1997, 12411, 1010, 4903, 2290, 1010, 3020, 18759, 2545, 1010, 4385, 1012, 3020, 18759, 2545, 1999, 2095, 2340, 2024, 6628, 2000, 2228, 2055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5752, 1010, 2001, 1037, 14441, 2121, 1012, 6047, 1010, 12241, 1010, 1999, 2010, 2220, 2382, 1521, 1055, 1010, 2200, 9657, 1012, 1998, 1037, 14441, 2121, 1012, 2053, 2060, 2773, 2005, 2009, 1012, 14441, 2121, 1012, 2027, 3711, 2006, 2609, 1998, 2017, 2064, 2156, 2068, 1037, 3542, 2125, 1012, 2031, 2053, 2801, 2055, 2054, 1521, 1055, 2920, 1999, 2725, 1037, 3105, 1010, 2138, 1010, 2027, 2123, 1521, 1056, 2342, 2000, 1012, 2158, 2968, 2003, 2037, 2518, 1012, 2027, 6133, 1037, 3105, 1012, 2522, 1011, 2030, 18979, 2618, 1012, 2191, 2477, 2147, 1010, 10939, 1998, 21956, 1996, 7787, 2061, 2673, 3216, 15488, 9541, 9541, 17206, 2232, 1012, 2069, 2477, 2123, 1521, 1056, 2175, 5744, 1012, 2027, 6360, 4030, 2091, 1998, 2776, 1010, 2272, 2000, 1037, 4832, 28345, 1012, 2138, 1996, 3291, 2007, 2111, 2066, 5752, 1010, 2003, 2027, 2831, 1037, 2307, 3105, 1010, 2200, 1523, 4013, 1011, 3161, 1010, 1524, 2200, 1010, 1523, 2064, 2079, 999, 1524, 1998, 1523, 2498, 2097, 2644, 2149, 999, 15501, 1029, 15501, 29126, 1029, 1029, 2498, 2097, 2644, 2149, 999, 999, 1524, 2002, 1521, 1055, 2025, 1996, 2028, 2383, 2000, 9462, 2010, 2197, 10338, 2039, 2568, 1012, 2008, 1521, 1055, 2091, 2000, 1996, 29126, 1010, 2000, 1523, 9462, 999, 1524, 2009, 1012, 2007, 2037, 1523, 3893, 999, 1524, 7729, 1012, 1045, 2320, 2499, 2006, 1037, 6023, 6670, 2073, 2045, 2001, 1037, 3297, 2998, 11180, 4497, 1012, 1998, 2296, 2851, 1996, 3208, 5935, 2035, 1996, 5126, 2000, 2272, 2362, 1999, 1037, 2177, 2000, 1523, 10597, 7374, 2005, 1996, 2154, 1524, 1012, 2059, 1010, 2009, 2001, 2433, 1037, 4418, 1010, 5481, 2046, 1996, 2415, 1010, 5376, 2039, 1010, 2152, 1019, 2053, 2028, 1010, 1006, 2138, 6343, 2018, 1037, 3154, 4539, 1007, 2061, 2009, 2001, 1037, 2843, 1997, 4064, 20916, 4691, 1010, 2612, 1997, 6240, 2100, 1010, 4340, 22021, 14950, 1012, 2059, 2040, 7361, 1998, 7570, 10820, 1998, 11245, 1010, 1523, 2057, 2064, 2079, 999, 2025, 2064, 1524, 1056, 2079, 999, 999, 999, 1524, 1010, 5481, 2067, 2046, 1996, 2415, 1997, 1996, 4418, 2005, 2178, 20916, 2012, 2169, 2060, 1010, 3745, 1037, 18178, 2229, 2100, 5861, 1998, 2275, 2125, 2000, 9991, 2037, 15475, 1998, 6120, 13530, 12922, 2015, 1012, 1998, 1045, 2074, 2245, 1010, 1523, 2054, 1037, 9129, 1997, 1056, 24281, 2015, 1012, 1012, 1524, 2092, 1010, 5752, 2018, 2008, 3466, 2006, 2033, 1012, 2296, 2051, 2002, 2234, 2041, 2007, 2070, 3893, 6714, 2006, 2070, 14636, 3105, 1010, 1045, 2354, 2009, 2001, 2178, 10338, 2039, 2008, 1523, 2057, 1524, 2071, 9462, 1012, 1998, 1045, 2106, 1012, 1045, 2074, 2245, 1010, 1523, 2054, 1037, 1056, 24281, 1012, 1524, 2061, 2104, 5752, 1521, 1055, 1523, 3422, 3993, 1524, 3239, 1010, 1996, 3105, 12506, 1012, 2030, 2062, 12689, 3973, 1010, 9784, 2091, 1010, 3701, 2091, 2000, 1523, 6605, 1524, 2477, 2000, 1996, 2391, 2073, 2057, 2020, 2770, 2041, 1997, 4475, 1998, 15887, 2015, 2138, 2027, 2910, 1521, 1056, 2042, 3641, 1012, 1998, 2085, 1010, 2009, 2001, 1996, 29126, 6346, 1012, 29126, 2020, 4201, 2125, 2138, 2027, 2134, 1521, 1056, 2031, 4475, 2007, 2029, 2000, 3143, 2147, 1012, 2061, 12958, 2147, 2150, 2037, 6346, 1012, 2477, 2020, 2006, 1037, 4030, 14047, 12313, 1012, 2794, 2000, 2023, 1010, 1996, 2364, 13666, 2001, 2927, 2000, 11025, 1998, 2027, 4694, 1521, 1056, 11004, 1999, 12803, 2075, 2037, 2219, 3095, 1010, 2383, 5985, 1996, 19963, 1998, 2716, 1999, 1037, 2878, 2047, 2533, 1997, 18921, 3549, 1998, 6074, 1012, 22604, 2006, 1037, 4942, 3762, 3813, 12803, 2075, 2028, 1997, 2037, 18031, 2052, 2031, 2042, 3576, 2011, 7831, 1012, 2017, 2071, 2156, 1996, 6911, 2311, 2461, 5752, 1012, 2210, 19435, 2229, 1012, 1996, 2868, 2893, 1037, 2978, 3140, 2011, 1996, 3371, 1012, 1996, 4315, 4892, 2079, 7729, 6360, 13721, 2185, 1012, 1998, 1996, 2087, 7966, 11783, 2100, 2518, 2002, 2106, 1010, 2001, 2667, 2000, 3913, 1996, 7499, 2675, 2135, 2012, 1996, 2341, 1997, 1996, 4364, 2040, 2064, 2941, 4139, 2017, 2041, 1997, 1996, 4485, 1010, 1996, 4364, 2667, 2000, 2079, 1996, 2147, 7539, 1997, 5752, 1521, 1055, 15314, 1012, 1998, 3402, 1010, 2002, 1521, 1040, 2179, 1010, 2002, 2134, 1521, 1056, 2031, 2116, 2814, 4810, 2000, 2393, 2032, 2041, 1997, 2009, 1012, 2045, 2097, 2022, 4364, 1045, 1521, 2310, 2499, 2007, 2058, 1996, 2086, 1010, 2040, 2097, 3191, 2023, 1998, 3305, 1012, 2017, 2064, 2102, 2022, 1037, 18031, 1998, 7438, 2115, 2273, 2066, 29393, 11106, 29111, 1012, 2027, 2123, 1521, 1056, 5293, 1012, 2138, 10076, 2030, 2101, 1010, 2009, 2074, 4150, 1037, 3043, 1997, 2051, 2077, 2115, 2179, 2041, 1012, 1998, 5752, 1521, 1055, 2051, 3369, 1012, 4500, 1996, 3105, 2001, 1037, 7668, 1012, 2028, 1997, 2216, 1043, 24725, 2100, 1010, 12538, 2047, 7668, 1521, 1055, 2328, 4919, 2005, 1996, 4435, 2047, 4545, 3796, 2008, 2018, 2042, 2328, 2682, 2009, 1012, 2111, 2052, 6723, 1037, 4157, 1998, 1037, 10236, 2006, 2037, 2126, 2041, 2000, 2147, 1999, 1996, 2851, 1012, 2009, 2001, 4251, 2151, 2060, 2051, 1012, 1996, 2755, 2008, 2256, 3105, 2001, 4500, 2442, 2031, 2042, 1037, 2166, 2240, 2138, 2009, 2001, 5697, 2035, 2154, 1010, 2926, 2012, 4596, 1012, 2273, 2052, 4133, 2503, 1998, 3422, 1996, 2088, 2175, 2011, 1012, 1996, 2402, 2611, 2040, 2743, 2009, 2001, 1037, 24646, 10087, 2099, 2061, 2008, 2089, 2031, 2908, 2070, 2126, 2875, 1996, 2449, 3623, 2205, 1012, 2023, 3327, 5958, 2001, 2066, 5752, 1521, 1055, 1040, 1011, 2154, 1012, 1996, 3778, 2442, 2031, 2468, 24257, 2000, 1996, 2391, 2073, 2242, 2018, 2000, 2507, 1012, 1045, 1521, 1049, 2467, 2404, 1999, 2568, 1997, 2708, 7742, 2852, 3240, 25608, 2013, 1996, 5061, 15133, 3152, 4626, 2848, 5271, 11650, 1012, 2073, 2852, 3240, 25608, 2038, 2633, 2584, 15790, 2391, 1998, 2010, 16356, 2015, 1998, 26594, 26466, 2031, 2468, 16267, 5793, 1012, 1998, 2216, 2105, 2032, 2024, 19285, 2169, 2060, 12531, 1010, 3403, 2000, 2156, 2040, 1521, 1055, 2183, 2000, 2191, 1037, 11454, 2005, 2009, 2034, 2077, 2002, 13783, 1012, 1045, 2903, 5752, 2584, 2010, 2200, 2219, 4517, 14899, 7698, 2391, 1999, 2023, 7668, 1010, 2006, 2023, 2154, 1012, 2009, 2211, 2007, 5752, 2938, 1999, 1996, 7668, 2383, 1037, 24702, 2007, 1996, 24043, 18031, 1010, 1037, 2402, 14804, 2170, 6796, 1012, 6796, 2018, 2042, 3755, 11850, 2005, 2010, 19732, 2000, 2079, 2054, 2412, 5752, 2056, 1010, 1998, 2069, 2794, 2000, 1996, 11320, 14808, 13288, 2110, 1997, 3821, 2007, 2010, 11809, 5857, 1012, 2061, 1010, 5752, 2003, 2938, 2383, 2010, 1523, 2933, 1997, 2895, 1524, 2831, 2007, 6796, 1010, 1999, 1996, 7668, 2012, 1996, 4672, 1997, 1996, 20530, 2558, 1999, 1996, 2154, 1012, 2049, 10789, 1010, 2440, 1997, 2111, 2035, 2383, 2037, 6265, 1010, 2007, 1996, 5005, 18348, 2004, 2111, 2020, 3331, 10989, 2000, 2963, 2058, 2037, 14754, 11450, 1010, 1998, 3402, 1010, 5752, 29195, 2000, 2010, 2519, 1998, 4627, 4823, 1012, 1006, 2030, 2062, 3599, 11273, 1007, 1523, 1999, 1996, 15125, 7382, 7382, 7382, 4168, 1997, 8840, 2615, 2615, 3726, 999, 999, 999, 1059, 3270, 11057, 11057, 2102, 22822, 12171, 12171, 14343, 1999, 1996, 15125, 7382, 4168, 1997, 8840, 2615, 2615, 2615, 2615, 2615, 3726, 999, 999, 999, 999, 1524, 2004, 2017, 2064, 5674, 1010, 7107, 2415, 2754, 2005, 5752, 1012, 1996, 4223, 2001, 2941, 28840, 1010, 2045, 1521, 1055, 2019, 5976, 6091, 1010, 2096, 2008, 5381, 14711, 2056, 1523, 4441, 1010, 3844, 1996, 6616, 2039, 1524, 1996, 2069, 2060, 5005, 2003, 1996, 26988, 1997, 3242, 3456, 2004, 7955, 1999, 2010, 6234, 9884, 13643, 4934, 2037, 8397, 2185, 2013, 23648, 1012, 5752, 1999, 1996, 12507, 2074, 2768, 2045, 11478, 1010, 2725, 2008, 11863, 2132, 2518, 1010, 2073, 2002, 1521, 1055, 2145, 4363, 2051, 1999, 2010, 2219, 2132, 2007, 1996, 2189, 1010, 2559, 2461, 2012, 2536, 2111, 2066, 2002, 1521, 1055, 2074, 4778, 1996, 2279, 2711, 2000, 11679, 2039, 1998, 9748, 2041, 1996, 2279, 2240, 1012, 1012, 2069, 2004, 2017, 2064, 5674, 1010, 2049, 2028, 1997, 2216, 2394, 8146, 2073, 6343, 4122, 2000, 2191, 3239, 3967, 2130, 2007, 1996, 2711, 2279, 2000, 2068, 1012, 2030, 1006, 6014, 27206, 1007, 9958, 3086, 2000, 3209, 1010, 2138, 6343, 4282, 2029, 2126, 2023, 3347, 8029, 8444, 2003, 2183, 2000, 2175, 1012, 2061, 1010, 5752, 4627, 2013, 1996, 2927, 1010, 1999, 1037, 4030, 1010, 2659, 2376, 1010, 2145, 2559, 2461, 2004, 2065, 2619, 2003, 2183, 2000, 3693, 1999, 1012, 1523, 2028, 2158, 2272, 1999, 1996, 2171, 1997, 2293, 1010, 2028, 2158, 2272, 1998, 27571, 9541, 9541, 1524, 2127, 1996, 2611, 9301, 2016, 2038, 1037, 4022, 26594, 2006, 2014, 2398, 1010, 28490, 2091, 2006, 2014, 4675, 1998, 2074, 15701, 1010, 1523, 1051, 2072, 999, 5308, 2009, 1999, 2030, 2131, 2041, 999, 999, 1524, 2000, 2029, 5752, 3849, 2000, 2507, 2370, 1037, 5177, 6073, 1010, 12134, 2015, 1998, 5176, 2065, 2002, 2064, 2224, 1996, 11848, 1012, 1996, 2611, 2003, 2004, 2512, 24759, 17854, 2098, 2004, 3071, 2842, 2938, 2045, 3632, 1523, 26114, 1029, 1524, 1998, 2685, 2091, 1996, 7120, 2000, 1996, 2067, 1997, 1996, 4497, 1010, 1998, 2125, 6609, 19817, 12868, 1012, 2035, 1045, 2071, 2228, 1997, 2001, 1524, 2023, 2003, 2066, 3340, 1999, 2037, 2159, 1012, 2002, 1521, 2222, 2022, 2041, 1999, 1037, 3371, 2007, 1524, 1998, 3892, 25436, 1045, 1521, 1049, 2183, 2000, 2022, 1529, 1012, 1524, 1520, 1998, 2002, 2134, 1521, 1056, 4487, 3736, 9397, 25785, 1012, 1999, 23288, 2015, 1012, 2074, 2004, 1037, 2978, 1997, 3671, 3012, 2003, 2108, 2511, 1010, 1998, 2111, 2024, 3331, 2153, 1010, 1006, 2054, 10760, 11263, 3600, 2546, 17311, 8322, 9080, 20470, 5833, 1029, 1007, 1996, 2341, 2013, 1996, 11848, 28490, 2330, 1012, 3087, 2145, 1999, 1996, 7668, 4332, 2875, 1996, 5005, 1010, 1998, 5752, 29195, 2041, 4147, 2498, 2021, 2019, 20376, 2002, 1521, 1040, 2179, 1999, 1996, 4373, 1998, 4627, 4231, 17122, 2075, 1012, 1523, 7939, 999, 7939, 999, 7939, 999, 7939, 4181, 999, 999, 7939, 999, 7939, 999, 7939, 999, 7939, 4181, 999, 999, 999, 1524, 8058, 2461, 1996, 7668, 2066, 2002, 2018, 2474, 4103, 2006, 2010, 2519, 1010, 6436, 29393, 2063, 5689, 2041, 1997, 1996, 2067, 1997, 1996, 20376, 1012, 1996, 3057, 2034, 6707, 2001, 5599, 2032, 2224, 1996, 11848, 1012, 2349, 2000, 5213, 1012, 2014, 2117, 2001, 2349, 2000, 12721, 1998, 5213, 1010, 2043, 2016, 3651, 1010, 2023, 6248, 2158, 2018, 2014, 20376, 2006, 999, 1523, 2131, 2026, 20376, 2125, 2017, 6530, 8444, 999, 999, 1059, 3270, 1029, 12098, 12171, 999, 999, 999, 2053, 9541, 9541, 999, 999, 2404, 9956, 16275, 21823, 2669, 18780, 9956, 10695, 10695, 10695, 2078, 999, 999, 999, 2125, 2234, 1996, 20376, 1998, 5752, 3231, 20921, 2003, 5128, 2745, 4027, 2000, 9467, 1012, 2002, 1521, 1055, 2145, 2183, 2005, 2009, 2043, 1996, 2610, 2633, 7180, 3859, 2044, 1010, 6605, 1037, 2345, 28629, 14197, 1010, 1523, 18235, 999, 18235, 999, 1524, 2077, 1996, 23674, 2192, 1997, 1996, 2375, 8546, 2032, 2875, 2010, 4253, 1012, 1999, 2035, 1997, 2023, 2002, 1521, 1055, 2042, 2440, 1997, 13435, 1012, 3294, 2204, 3267, 2094, 1012, 2130, 3030, 4231, 17122, 2075, 2043, 2027, 2356, 2032, 2000, 1012, 1523, 2017, 29126, 2123, 1521, 1056, 2017, 2066, 2745, 4027, 1029, 1524, 2023, 2035, 2904, 2043, 2027, 2787, 2000, 2404, 28338, 2006, 2032, 1998, 2002, 2253, 2125, 2066, 1037, 5506, 18856, 8649, 8033, 1012, 2009, 2165, 1020, 6967, 2015, 2000, 2131, 2032, 1999, 1996, 3158, 1012, 1998, 2059, 1996, 6671, 2001, 14934, 2006, 2049, 17290, 2015, 2004, 6609, 13605, 11043, 1998, 19390, 2125, 2593, 2217, 1997, 1996, 3158, 17197, 1012, 2009, 2776, 5225, 2125, 2145, 14934, 1010, 2635, 5752, 2000, 4873, 2005, 1037, 4682, 2091, 1012, 1998, 2008, 2001, 2008, 1012, 2306, 1037, 2154, 2030, 2048, 2057, 2018, 1037, 2047, 18031, 1998, 2477, 2288, 2067, 2000, 3671, 1012, 2127, 1016, 3134, 2101, 1012, 1999, 1996, 2812, 2051, 2057, 1521, 1040, 2042, 2409, 5752, 2018, 2042, 2404, 2185, 2005, 1037, 2717, 1010, 1037, 2978, 29300, 2099, 1999, 1037, 3835, 2902, 2000, 2393, 2032, 2131, 2488, 1012, 2127, 1045, 2106, 2026, 3671, 2518, 1010, 1998, 2131, 1999, 2147, 2431, 2019, 3178, 2077, 7955, 2842, 1998, 2572, 2938, 2648, 2006, 1037, 8403, 1010, 11559, 2851, 1010, 3403, 2005, 3036, 2000, 2330, 2039, 1998, 2292, 2033, 1999, 1012, 2040, 3310, 3788, 2091, 1996, 2395, 1012, 1523, 7632, 3505, 999, 1524, 18350, 2004, 2412, 1012, 2035, 1045, 1521, 1049, 5204, 1997, 2003, 2009, 1521, 1055, 1020, 1012, 2871, 3286, 1998, 2053, 2028, 2097, 2424, 2026, 2303, 2005, 2012, 2560, 2382, 2781, 1012, 1045, 2113, 5752, 2038, 1996, 3997, 1997, 2702, 2273, 1010, 2021, 1045, 2069, 2031, 1996, 3997, 1997, 3053, 2028, 1012, 1523, 1045, 1521, 1049, 2067, 999, 2651, 999, 3201, 2000, 2131, 2023, 3105, 2067, 2006 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2096, 1996, 3314, 1997, 5635, 1998, 3768, 1997, 2495, 2105, 1996, 2088, 2024, 2145, 4830, 16671, 2075, 1010, 2057, 1521, 2128, 8794, 2182, 2012, 7815, 3246, 2000, 4256, 2007, 4411, 2066, 23689, 11057, 2361, 1010, 2040, 2024, 12786, 2122, 3471, 2007, 9525, 2047, 7248, 1998, 2974, 1012, 23689, 11057, 2361, 1024, 4526, 4434, 2083, 2974, 23689, 11057, 2361, 2965, 1523, 7176, 2111, 1524, 1999, 9269, 1010, 1998, 2001, 2631, 2011, 2093, 17633, 1999, 2230, 1517, 2814, 2007, 1037, 2309, 4432, 1523, 2000, 2689, 2111, 1521, 1055, 4145, 1997, 3228, 1998, 2191, 2009, 1037, 3167, 1010, 13338, 1010, 1998, 9084, 2832, 1012, 1524, 1996, 23689, 11057, 2361, 12702, 7770, 4667, 2565, 2003, 4310, 1999, 2049, 7375, 1997, 1037, 2974, 4132, 2008, 4473, 2005, 2111, 2000, 18496, 2769, 2000, 1037, 2193, 1997, 2111, 1999, 2342, 1012, 18496, 2545, 2024, 2583, 2000, 5454, 2013, 1037, 2862, 1997, 17781, 2545, 1010, 2241, 2006, 2037, 3791, 1998, 5414, 5918, 1012, 1996, 7792, 17781, 2545, 2024, 3479, 2011, 23689, 11057, 2361, 1521, 1055, 2492, 5826, 1010, 2040, 2024, 1523, 2511, 4411, 2008, 2031, 1037, 2844, 3739, 2012, 1996, 23299, 1031, 2504, 1033, 1010, 1037, 2784, 4824, 1997, 2037, 4279, 1998, 7860, 1010, 1998, 1037, 8426, 2000, 3710, 2037, 3791, 1012, 1524, 1996, 17781, 2545, 4374, 2531, 1003, 1997, 1996, 5029, 1010, 1998, 18496, 2545, 2024, 2583, 2000, 2650, 1996, 2832, 1997, 1996, 5414, 2083, 1996, 23689, 11057, 2361, 4132, 1010, 2073, 1996, 3441, 1998, 5082, 1997, 1996, 17781, 2545, 2064, 2022, 4207, 2007, 1037, 3469, 4378, 1012, 2149, 3270, 2003, 2028, 1997, 1996, 17781, 2545, 2040, 2038, 19727, 2013, 23689, 11057, 2361, 1521, 1055, 3228, 4132, 1998, 2115, 7815, 3246, 17402, 1012, 2149, 3270, 2003, 2654, 2086, 2214, 1998, 5260, 3520, 2319, 3567, 3148, 14021, 2290, 1010, 1037, 2194, 2008, 7137, 3019, 2188, 25545, 3688, 1012, 3520, 2319, 3567, 3148, 2038, 2042, 2039, 1998, 2770, 2005, 1996, 2197, 1022, 2086, 1010, 1998, 3180, 2537, 3450, 2031, 3271, 2049, 2372, 2000, 2490, 3209, 1998, 3828, 2005, 1996, 2925, 1012, 2149, 3270, 2001, 2583, 2000, 5309, 1037, 2235, 4322, 1999, 2014, 9627, 2013, 2014, 10995, 1012, 2045, 2024, 2060, 2308, 2040, 2215, 2000, 3693, 3520, 2319, 3567, 3148, 14021, 2290, 1010, 2021, 2149, 3270, 2734, 11706, 10394, 1998, 6502, 2000, 8752, 2062, 2308, 1010, 2029, 2003, 2339, 2016, 4162, 2005, 1037, 5414, 2013, 1996, 23689, 11057, 2361, 2565, 1012, 4637, 2149, 3270, 2097, 3499, 2014, 2000, 4982, 3520, 2319, 3567, 3148, 1998, 7861, 11452, 2062, 2308, 1999, 2014, 2451, 2000, 2490, 2037, 2945, 1998, 3828, 2005, 16176, 17795, 1012, 4526, 1037, 7289, 4254, 2011, 27001, 2007, 9525, 4411, 2066, 23689, 11057, 2361, 1010, 7815, 3246, 2003, 2583, 2000, 3443, 1037, 7289, 4254, 2007, 2256, 11372, 1012, 2057, 2903, 2008, 5661, 7249, 2064, 3443, 2023, 2785, 1997, 2689, 1999, 1996, 2088, 1010, 2021, 2069, 2083, 1996, 2524, 2147, 1998, 14842, 1997, 3316, 2066, 23689, 11057, 2361, 2008, 3745, 2023, 4432, 1012, 2057, 2191, 2009, 2112, 1997, 2256, 7815, 3246, 3260, 2000, 2069, 3749, 7815, 2015, 1998, 3688, 2008, 2057, 2514, 6625, 2478, 1012, 2023, 2965, 2008, 2057, 2069, 2147, 2007, 9639, 2057, 3404, 1010, 1998, 2040, 2224, 12760, 2008, 2024, 2878, 14045, 1998, 3647, 1012, 8538, 7658, 2271, 1010, 3910, 1998, 1523, 7815, 15812, 1524, 2012, 1037, 3748, 7815, 3347, 2165, 1037, 2617, 2000, 2831, 2007, 2149, 2055, 2339, 2016, 1521, 1055, 2061, 13459, 2055, 1996, 2147, 2016, 2515, 1998, 1996, 3688, 2016, 4107, 1012, 7815, 3246, 1024, 2129, 2146, 2031, 2017, 2042, 1999, 2449, 1029, 1037, 3748, 7815, 3347, 1024, 2322, 2086, 1012, 14021, 1024, 2339, 2106, 2017, 2707, 2437, 7815, 1029, 22091, 19022, 1024, 1045, 1521, 2310, 2467, 5632, 2437, 2477, 2007, 2026, 2398, 1010, 2061, 2043, 1045, 2743, 2408, 7525, 7081, 2015, 1521, 2034, 2210, 2338, 2055, 7815, 2437, 1010, 1045, 2787, 2000, 2507, 2009, 1037, 1059, 11961, 2140, 1012, 1045, 2776, 2150, 2204, 2012, 2009, 2083, 3979, 1998, 7561, 1998, 1045, 4033, 1521, 1056, 2042, 2583, 2000, 2644, 2412, 2144, 1012, 2026, 2365, 8183, 2854, 3084, 2035, 1997, 2256, 3688, 2085, 1010, 2021, 1045, 2145, 16130, 2039, 1037, 14108, 1997, 7815, 2296, 2085, 1998, 2059, 1010, 2074, 2005, 20237, 1012, 14021, 1024, 2054, 2079, 2017, 2293, 2087, 2055, 2437, 2115, 3688, 1029, 22091, 19022, 1024, 1045, 2131, 2061, 7568, 2043, 1045, 2963, 2129, 2256, 3688, 2024, 5094, 2111, 2007, 3096, 3471, 2027, 1521, 2310, 2018, 2005, 2086, 999, 2437, 1037, 4489, 1999, 2619, 1521, 1055, 2166, 1010, 2008, 1521, 1055, 2054, 2009, 1521, 1055, 2035, 2055, 1012, 2108, 2115, 2219, 5795, 2003, 11757, 2524, 2147, 1010, 2021, 4994, 2013, 2256, 8510, 6304, 3084, 2009, 2035, 4276, 19927, 1012, 14021, 1024, 2054, 1521, 1055, 2115, 5440, 7815, 1013, 6518, 1013, 4031, 2157, 2085, 1029, 22091, 19022, 1024, 1045, 2881, 2035, 1997, 2256, 3688, 1010, 2061, 8100, 1010, 1045, 2066, 2068, 2035, 1012, 2009, 1521, 1055, 2524, 2000, 4060, 2074, 2028, 1010, 2021, 1045, 1521, 1040, 2031, 2000, 2360, 2008, 2026, 2035, 2051, 5440, 7815, 3347, 2003, 2256, 4010, 8996, 6209, 7815, 2008, 1521, 1055, 2069, 2800, 13323, 1012, 1516, 11703, 1012, 1006, 1045, 2941, 7570, 28037, 2070, 2013, 2197, 2095, 1012, 1007, 1996, 2046, 9048, 18252, 21161, 17688, 6518, 9297, 2033, 3748, 999, 2060, 5440, 7815, 2015, 2024, 5532, 10878, 1010, 21871, 3736, 27843, 2015, 1010, 24858, 2135, 28253, 1010, 1998, 2256, 9805, 16665, 7117, 25850, 24667, 1004, 2303, 3347, 1012, 14021, 1024, 2054, 3084, 1037, 3748, 7815, 3347, 2367, 2013, 2060, 3019, 3096, 2729, 3688, 1029, 22091, 19022, 1024, 2256, 2240, 2003, 2241, 2105, 3748, 3128, 4264, 1010, 2061, 2008, 3084, 2256, 3688, 4310, 2000, 4088, 2007, 1012, 2005, 6013, 1010, 7955, 3084, 1037, 20920, 7815, 1010, 2021, 2040, 3084, 1037, 2630, 11735, 7159, 7815, 2007, 2613, 3748, 1011, 19275, 3146, 2630, 11735, 22781, 1999, 2009, 1029, 7955, 3084, 1037, 12927, 7815, 1010, 2021, 2040, 3084, 3586, 10020, 2102, 7815, 2013, 7246, 5935, 3586, 10020, 2102, 4264, 1029, 2045, 2089, 2022, 1037, 2261, 2500, 2725, 2009, 2085, 1010, 2021, 2057, 2020, 1996, 23728, 1012, 2060, 2084, 1996, 3128, 13194, 2015, 1010, 1045, 2903, 2256, 12760, 2428, 2275, 2149, 4237, 1012, 2296, 2028, 2003, 5362, 4217, 2000, 2022, 4621, 1998, 9084, 1012, 2256, 5760, 1998, 3019, 6827, 3514, 12586, 2015, 2024, 4138, 1998, 3375, 1010, 2025, 1996, 2309, 3964, 2109, 2011, 2116, 2060, 7815, 11153, 1012, 12826, 2256, 21774, 7201, 2000, 2500, 1998, 2017, 1521, 2222, 2156, 2054, 1045, 2812, 1012, 2057, 2224, 1037, 2898, 2846, 1997, 3019, 1998, 7554, 12760, 1998, 2057, 1521, 2310, 2042, 1056, 8545, 15495, 2256, 12760, 2005, 2058, 2322, 2086, 2085, 1012, 14021, 1024, 2054, 1521, 1055, 2115, 2087, 2759, 4031, 1029, 22091, 19022, 1024, 2304, 11940, 11286, 7815, 2005, 9353, 2638, 1010, 2398, 2091, 1012, 1045, 2064, 1521, 1056, 2425, 2017, 2129, 2116, 2111, 2031, 2517, 2000, 2360, 2008, 2009, 1521, 1055, 5985, 2037, 9353, 2638, 2030, 2012, 1996, 2200, 2560, 1010, 24821, 5301, 2009, 1012, 2129, 12476, 2003, 2008, 1029, 14021, 1024, 2339, 2024, 2035, 1011, 3019, 12760, 2061, 2590, 1999, 1037, 3748, 7815, 3347, 3688, 1029, 22091, 19022, 1024, 2256, 3125, 2003, 2000, 2191, 3688, 2008, 2024, 3647, 2005, 2035, 2542, 2477, 1998, 1037, 6569, 2000, 2224, 1012, 2054, 2057, 2404, 2006, 2256, 3096, 2003, 2590, 1012, 2054, 2057, 15653, 2006, 2256, 3011, 2003, 2590, 1012, 2054, 2057, 2681, 2369, 2005, 2256, 2336, 1998, 2256, 13628, 1529, 1012, 2003, 2590, 999, 2339, 2224, 12553, 5072, 3561, 3688, 2008, 2024, 16149, 2256, 4230, 1998, 2256, 3011, 2043, 3647, 3019, 3924, 2024, 2074, 2004, 4621, 1029, 14021, 1024, 2054, 10198, 2079, 2017, 2228, 5661, 2031, 1010, 2043, 2009, 3310, 2000, 2451, 1998, 2591, 5368, 1029, 22091, 19022, 1024, 5661, 2064, 2191, 2035, 1996, 4489, 1999, 1996, 2088, 999, 2065, 2130, 1015, 1013, 1017, 1997, 1996, 5661, 4233, 2070, 2433, 1997, 4483, 1998, 2591, 5368, 2009, 2052, 2191, 1037, 4121, 4489, 1999, 2256, 11878, 2088, 1012, 5661, 2064, 1998, 2323, 3357, 2039, 2000, 1996, 5127, 1012, 2009, 1521, 1055, 2035, 2055, 1996, 6420, 3953, 2240, 1529, 2111, 1010, 4774, 1998, 2059, 5618, 1012, 14021, 1024, 2339, 2079, 2017, 2147, 2007, 5661, 2066, 7815, 3246, 1029, 22091, 19022, 1024, 7815, 3246, 2038, 2042, 1037, 4121, 7780, 2000, 2149, 999, 2027, 1521, 2128, 2256, 7812, 20196, 2138, 2027, 1521, 2128, 2025, 2074, 1999, 2449, 2000, 2191, 1037, 10131, 1012, 2057, 2113, 2027, 2729, 2138, 2027, 2404, 2037, 2769, 2073, 2037, 2677, 2003, 1010, 2061, 2000, 3713, 1012, 16183, 4430, 1521, 1055, 8235, 2204, 5651, 2944, 2001, 2028, 1997, 1996, 12300, 2008, 7531, 2256, 2219, 11382, 3567, 18435, 2136, 1010, 3748, 2055, 2204, 1012, 2065, 2296, 2449, 2106, 2242, 2714, 1010, 2053, 3043, 2129, 2235, 1010, 2074, 2228, 1997, 1996, 4020, 2057, 2071, 2693, 999, 2057, 1521, 2128, 3565, 7098, 2000, 2031, 7815, 3246, 1999, 2256, 2155, 1997, 2986, 16629, 1998, 2057, 3246, 2008, 2062, 5661, 2097, 2202, 2037, 2742, 2000, 2540, 2011, 4526, 9084, 2449, 4275, 2008, 7861, 11452, 2111, 2000, 5335, 2037, 2219, 3268, 1012, 5661, 2442, 2202, 1996, 2599, 2065, 2057, 3246, 2000, 2689, 2256, 2088, 1998, 7815, 3246, 2003, 1037, 9716, 2742, 2005, 2149, 2035, 1012, 1999, 2637, 2017, 2064, 2707, 1037, 2449, 2000, 2079, 2074, 2055, 2505, 1010, 15933, 1010, 1998, 2788, 2302, 3087, 1521, 1055, 6656, 1012, 2057, 2359, 2000, 5271, 7815, 6963, 2000, 2689, 1996, 2088, 1012, 2009, 2165, 1037, 2048, 1011, 3931, 2433, 1010, 3174, 2781, 1010, 1998, 1002, 3998, 2000, 13265, 1037, 2194, 1999, 3146, 1012, 2057, 6406, 1996, 17397, 3784, 2013, 1996, 3829, 2795, 1012, 1999, 2637, 2017, 2064, 10350, 5566, 2007, 2060, 5661, 1012, 2009, 2453, 2022, 2524, 1010, 1998, 1996, 2502, 4364, 2453, 2031, 2019, 5056, 1010, 2021, 2151, 2711, 2064, 5630, 2012, 2151, 2051, 2000, 2022, 2019, 10670, 1012, 2182, 1010, 2019, 10670, 1521, 1055, 2069, 22718, 2003, 2841, 1012, 1999, 2637, 2017, 2064, 10350, 2110, 2115, 10740, 2055, 1996, 3513, 2057, 2444, 2011, 2362, 1010, 1998, 2017, 2064, 2147, 2000, 2689, 2068, 2065, 2027, 2024, 3308, 1012, 2065, 2017, 2123, 1521, 1056, 2066, 1996, 3513, 1010, 2017, 2064, 2131, 2115, 2376, 2657, 1010, 10939, 1037, 2929, 1010, 23388, 1037, 4018, 1010, 1998, 3443, 2689, 1012, 2079, 2017, 5993, 2030, 21090, 2007, 1996, 9366, 2008, 3316, 2323, 3830, 9440, 2008, 2024, 19345, 6310, 1029, 2079, 2017, 5993, 2030, 21090, 2008, 2045, 2323, 2025, 2022, 2047, 7773, 2006, 4274, 4341, 1029, 2079, 2017, 5993, 2030, 21090, 2008, 6081, 12702, 4783, 19303, 2323, 2022, 10890, 1999, 3688, 2008, 3362, 2256, 2300, 4425, 1029, 2017, 2064, 11322, 4505, 2040, 3745, 2115, 5300, 1012, 2065, 2017, 2215, 2115, 2376, 2000, 2022, 2657, 2017, 2064, 2131, 2000, 2113, 2115, 4505, 1010, 4553, 2055, 1996, 3314, 2011, 20059, 3784, 1998, 3331, 2007, 2500, 1010, 1998, 3789, 1012, 2602, 2154, 2003, 2281, 1018, 1012, 2004, 17633, 2057, 3643, 3071, 1521, 1055, 2157, 2000, 3789, 1012, 2008, 1521, 1055, 2339, 7815, 3246, 2038, 1037, 3343, 1999, 2490, 1997, 7904, 6830, 1012, 2296, 2136, 2266, 4152, 3825, 2051, 2125, 2000, 3789, 1999, 2334, 1010, 2110, 1998, 2120, 3864, 1012, 2065, 2017, 2024, 1037, 2449, 3954, 1010, 2057, 8627, 2017, 2000, 5136, 1037, 2714, 3343, 1012, 2017, 2064, 2424, 14635, 2182, 1024, 7815, 3246, 3343, 1999, 2490, 1997, 7904, 6830, 1012, 2028, 1997, 1996, 2087, 2590, 2477, 2057, 2079, 2012, 7815, 3246, 2003, 2000, 16157, 1996, 12760, 1999, 3688, 1012, 2009, 1521, 1055, 1037, 2172, 7823, 2121, 3105, 2008, 2017, 2453, 5674, 1012, 2025, 2673, 2008, 1521, 1055, 3019, 2003, 2204, 2005, 2017, 1010, 2061, 2057, 2031, 2000, 2562, 21628, 2015, 2006, 2673, 2109, 1999, 2296, 4031, 1012, 1998, 11153, 10651, 2037, 12760, 2035, 1996, 2051, 1010, 2061, 2057, 1521, 2128, 7887, 15252, 1996, 2492, 2470, 1010, 2437, 2469, 2008, 2673, 2057, 4287, 2003, 2039, 2000, 2256, 9384, 4781, 1012, 2256, 4432, 2003, 2008, 2065, 2017, 2424, 2009, 2012, 7815, 3246, 1010, 2017, 2064, 3404, 2008, 2009, 1521, 1055, 2204, 2005, 2017, 1012, 2106, 2017, 2113, 2008, 2025, 2673, 2008, 3632, 1999, 1037, 4031, 2003, 3223, 2000, 2022, 2006, 2049, 3830, 1029, 2028, 6659, 21774, 2008, 2038, 2081, 2049, 2126, 2046, 5190, 1997, 3688, 2003, 2170, 12702, 4783, 19303, 1012, 2823, 2027, 2024, 12599, 3432, 1523, 21877, 1524, 2030, 1523, 4903, 1012, 1524, 2009, 1521, 1055, 1999, 2673, 2013, 11868, 19707, 2618, 2000, 13268, 18157, 2015, 2000, 6457, 21500, 2015, 1012, 1998, 2009, 1521, 1055, 6659, 2005, 2111, 1010, 4176, 1010, 1998, 1996, 4774, 1012, 12702, 4783, 19303, 2024, 4714, 6081, 9309, 2008, 8712, 2404, 1999, 3688, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 2316, 1015, 24665, 8630, 20679, 2078, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 2316, 1015, 24665, 8630, 20679, 2078, 3485, 1997, 6970, 28823, 4808, 1012, 2765, 3698, 1010, 16675, 6643, 20011, 9749, 2238, 2570, 1010, 2294, 1010, 2012, 1996, 2126, 5963, 3424, 1011, 7865, 1012, 2043, 2308, 3102, 1024, 2500, 1997, 4034, 1998, 3395, 7730, 1012, 3419, 2072, 1011, 5754, 7031, 1010, 1005, 1996, 4695, 2306, 1996, 3291, 1024, 2019, 25953, 4818, 7339, 2006, 1996, 4874, 9031, 1998, 26248, 1997, 2308, 1005, 1999, 5076, 24190, 1010, 5472, 2121, 6506, 12849, 9890, 1010, 2726, 1037, 1012, 10768, 25300, 22758, 1998, 2166, 1024, 4871, 1999, 1996, 4957, 1997, 18962, 1012, 6970, 28823, 4219, 2018, 2042, 10938, 8082, 1010, 2893, 1037, 8816, 1997, 3787, 2114, 2119, 3167, 6839, 3057, 1998, 4813, 1012, 1996, 3265, 3395, 1997, 2862, 2816, 1011, 2302, 1996, 3112, 1011, 2052, 7523, 2127, 2251, 2403, 1012, 2112, 18758, 1024, 1996, 12071, 16805, 1023, 1011, 2184, 2251, 3826, 1024, 1996, 10373, 3579, 2012, 2498, 1010, 4265, 2013, 1996, 2373, 1997, 2028, 1997, 1996, 2493, 1012, 1996, 12071, 16805, 1023, 1011, 2184, 2251, 3826, 1024, 7220, 9686, 21138, 2080, 3015, 1996, 3348, 3754, 2125, 1996, 3867, 1997, 12071, 1010, 2096, 1999, 1996, 14427, 1037, 8620, 2742, 14279, 2044, 2383, 2596, 2011, 3867, 3203, 1012, 20865, 3512, 2791, 10354, 3334, 2061, 2023, 8816, 2192, 25987, 1997, 12854, 1998, 28667, 21723, 2075, 3971, 1010, 2045, 2038, 6524, 2108, 1996, 4400, 1997, 5629, 2047, 1012, 7887, 1010, 2023, 2003, 2196, 2073, 2017, 6985, 2087, 12683, 2000, 3443, 2030, 2113, 2125, 2004, 17453, 8050, 2923, 1011, 11295, 1012, 2009, 6233, 11138, 13950, 2989, 2039, 2005, 2054, 2017, 2031, 2009, 1010, 2437, 2115, 23083, 2007, 5368, 1010, 5278, 14409, 2006, 2054, 2003, 2000, 2718, 29279, 1010, 2948, 13798, 2210, 2057, 18921, 19763, 2069, 4022, 2007, 1996, 3670, 2008, 2087, 13692, 2040, 2024, 2005, 2500, 17279, 2068, 1025, 1998, 3391, 2085, 2034, 1997, 2149, 2031, 15834, 2521, 2000, 2131, 2009, 8116, 1012, 1037, 3376, 2878, 3270, 6455, 1037, 4276, 3481, 18679, 1997, 2279, 2308, 2097, 2393, 2017, 2000, 12992, 2151, 20858, 2062, 10317, 1012, 11131, 1996, 14408, 7507, 8996, 2017, 2215, 1037, 2270, 1998, 2003, 2017, 2434, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2000, 1996, 2895, 2338, 1012, 2054, 2064, 1045, 8081, 2000, 2298, 2023, 1999, 1996, 4013, 1011, 3348, 1029, 2065, 2017, 2031, 2006, 1037, 23184, 3166, 1010, 2066, 2012, 4106, 1010, 2017, 2064, 3046, 2019, 3319, 9575, 2006, 2115, 5331, 2000, 11477, 2197, 2009, 2003, 2025, 2589, 2007, 2451, 1012, 2065, 2017, 2572, 2012, 2019, 11302, 2030, 16985, 7559, 2492, 1010, 2017, 2064, 3342, 1996, 4769, 3867, 2000, 2022, 1037, 3166, 2408, 1996, 7816, 22736, 2005, 4424, 2030, 6203, 13239, 1012, 2178, 2116, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 3555, 2000, 2568, 7704, 2061, 1011, 2170, 2744, 3631, 1996, 2512, 1011, 4349, 3931, 1010, 2029, 2003, 1037, 2725, 2449, 1997, 2610, 2272, 2000, 2079, 3451, 28877, 1012, 2036, 2000, 1996, 9787, 3867, 1997, 1996, 2142, 2163, 1010, 3128, 2137, 2808, 10201, 5611, 5030, 2001, 8100, 3824, 1010, 2521, 2005, 3920, 1010, 4180, 5426, 1012, 2004, 1010, 2043, 10469, 2015, 3866, 1010, 2062, 4895, 16280, 20255, 3550, 3903, 4208, 2042, 1012, 13280, 1996, 3449, 14644, 5582, 19894, 2098, 2969, 1011, 2968, 1997, 1996, 2142, 2163, 1010, 2045, 2001, 1996, 2166, 1997, 1996, 18476, 8211, 3441, 1997, 1996, 7749, 1998, 8476, 1012, 4236, 4276, 4210, 1010, 2004, 1996, 7486, 2024, 1037, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2005, 8181, 1012, 2634, 2030, 2859, 1010, 2054, 2024, 2027, 6760, 2000, 2022, 2007, 2008, 1029, 2039, 2054, 2092, 2592, 1999, 2682, 9570, 2015, 1029, 2074, 2202, 2033, 10663, 2130, 2000, 1996, 2925, 1012, 1064, 8833, 2378, 3278, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 1010, 2046, 3809, 2592, 1010, 2130, 4914, 1999, 2524, 1011, 4061, 9933, 4409, 1998, 2101, 2001, 1996, 2591, 24078, 1012, 2529, 4012, 10772, 6634, 1010, 3081, 5729, 11892, 3274, 3891, 1010, 1999, 19432, 1996, 16819, 1997, 3293, 3865, 2076, 1996, 3653, 1011, 8364, 2099, 2005, 13298, 1010, 2003, 2272, 3227, 1012, 2083, 1996, 20050, 2838, 1997, 2014, 4751, 1998, 7905, 27405, 10374, 2057, 2421, 2054, 2009, 2443, 3287, 2000, 4965, 1998, 5376, 1999, 1037, 2434, 2012, 2342, 1012, 2057, 8246, 1997, 1996, 2658, 17796, 7729, 16324, 2040, 2699, 1999, 1010, 2030, 26610, 1010, 13898, 1010, 2206, 5902, 2909, 4080, 13652, 1998, 5902, 2909, 2198, 2000, 12417, 1012, 1996, 4436, 2001, 1997, 1996, 2576, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 1010, 1998, 2071, 2061, 9131, 3303, 1999, 15775, 16643, 3723, 1005, 1055, 4072, 3800, 3081, 1996, 3469, 2047, 2373, 1012, 3402, 2028, 3979, 1010, 2612, 1010, 2052, 10824, 1996, 2091, 5129, 2712, 10273, 1048, 1011, 2462, 2278, 1012, 2000, 23758, 2004, 25049, 11985, 2046, 1996, 3327, 5274, 2004, 2764, 1010, 1996, 20050, 2106, 5598, 2006, 2000, 1037, 7189, 2327, 2381, 2008, 5159, 1996, 5907, 2000, 21933, 23808, 6820, 6593, 2417, 7442, 10985, 3031, 2019, 2392, 1998, 2018, 2091, 1996, 2476, 1012, 2009, 2020, 1037, 2025, 2013, 4187, 2785, 1024, 3492, 4652, 1996, 2012, 26036, 6491, 1997, 21446, 4182, 1011, 6165, 2071, 2110, 2641, 11703, 7416, 7178, 1011, 2021, 5233, 2013, 1996, 2142, 2163, 11121, 13603, 2000, 4952, 14678, 3919, 2000, 7523, 2450, 2013, 2478, 8324, 2015, 1010, 12825, 2004, 2131, 2627, 3033, 1012, 2948, 2273, 1015, 1998, 1016, 2288, 1999, 1996, 2844, 4973, 1997, 2251, 1023, 1012, 2027, 2056, 1996, 2922, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 1997, 8466, 1996, 4752, 2020, 17858, 2042, 1011, 2062, 2084, 13710, 2692, 10198, 1012, 3955, 2000, 2035, 2865, 2012, 1043, 3211, 9440, 2040, 2024, 1043, 3211, 1037, 4242, 8816, 2000, 8752, 999, 13223, 15489, 8162, 2050, 2003, 6866, 3687, 2004, 2418, 1059, 11020, 6951, 1997, 1996, 20050, 1012, 13223, 2001, 2012, 1059, 11020, 2004, 1037, 2598, 2007, 1996, 1059, 11020, 2396, 29196, 3420, 1998, 7569, 2000, 5333, 2014, 2308, 1999, 2019, 2047, 1010, 2025, 2330, 1011, 13128, 4053, 1010, 2012, 1996, 4469, 7849, 18400, 3746, 1012, 1059, 11020, 2020, 1996, 2204, 4773, 1997, 13798, 2013, 1996, 14109, 2221, 3379, 1997, 2531, 10922, 2040, 2729, 1012, 1996, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 2316, 1015, 9442, 1025, 4758, 2007, 13223, 5306, 1025, 2001, 2019, 7750, 2000, 2019, 5236, 2775, 4820, 1059, 11020, 2996, 2225, 1012, 2188, 2003, 14412, 27892, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2024, 2261, 7692, 1029, 2065, 2009, 2003, 1997, 3114, 2036, 2003, 1037, 2402, 3287, 1997, 3977, 1999, 2070, 1010, 2069, 9826, 6233, 1010, 1997, 1996, 2808, 1998, 2308, 1997, 2308, 1012, 2021, 1045, 4671, 2009, 2003, 2117, 2000, 2273, 6234, 2000, 2553, 1012, 2009, 4107, 1037, 24986, 3132, 4099, 2008, 1996, 3697, 2886, 2003, 2145, 6428, 1998, 2062, 2130, 2956, 2084, 1996, 2060, 1004, 1012, 2005, 2014, 5741, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 2316, 1010, 2057, 2097, 2362, 2022, 2014, 2204, 3384, 1012, 2057, 11628, 1996, 3954, 1997, 17132, 1010, 1996, 2051, 1998, 2054, 2023, 2003, 2000, 2014, 1012, 19378, 1010, 1999, 2531, 6199, 2111, 2105, 1996, 2553, 1010, 10469, 2315, 1999, 2088, 7632, 3900, 2497, 2154, 2297, 1012, 2897, 1998, 14351, 1998, 1037, 4105, 1012, 1996, 22029, 1054, 2629, 2082, 2212, 2097, 7901, 1037, 10469, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 2316, 1015, 2005, 2296, 7603, 2000, 6807, 2464, 1996, 2147, 2000, 4553, 2019, 4297, 25377, 12870, 5897, 2008, 2097, 19933, 2068, 2000, 2147, 2197, 1010, 10056, 9029, 2069, 2069, 2004, 9161, 9355, 10206, 2088, 2011, 2551, 3893, 25737, 3723, 2000, 2689, 2023, 8689, 1012, 13913, 3721, 3298, 1010, 22029, 1010, 9587, 6191, 2575, 18827, 1025, 5401, 2509, 1011, 6421, 2549, 1011, 6079, 14526, 1012, 5478, 3376, 5467, 20531, 1012, 22029, 1054, 2629, 2082, 2212, 1012, 2321, 2158, 2596, 8817, 1012, 2263, 1998, 2092, 11489, 1999, 2262, 1998, 2355, 1012, 2023, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 2022, 6820, 10343, 11031, 5480, 2316, 2020, 2363, 1999, 4391, 2011, 3319, 3559, 1012, 2339, 2228, 1045, 2079, 2000, 5676, 1037, 14408, 7507, 1029, 11243, 1996, 14408, 7507, 4269, 2017, 3571, 1037, 12536, 1998, 12939, 2017, 7505, 21799, 15550, 2000, 1996, 3267, 2088, 1012, 2054, 2064, 1045, 13530, 2000, 2689, 2023, 1999, 1996, 6488, 1029, 2065, 2017, 2024, 2006, 1037, 4621, 3602, 1010, 2066, 2012, 3006, 1010, 2017, 2064, 7374, 2019, 3348, 2224, 2006, 2115, 9324, 2000, 9611, 3451, 2009, 1005, 1055, 2004, 5068, 2007, 2227, 1012, 2065, 2017, 5136, 2012, 2019, 7603, 2030, 2168, 2505, 1010, 2017, 2064, 5478, 1996, 10334, 23304, 2000, 4133, 1037, 20050, 2408, 1996, 2203, 10368, 2005, 2120, 2030, 3154, 7300, 1012, 2178, 8816, 2192, 25987, 2000, 10939, 9073, 2023, 3510, 1999, 1996, 12247, 12386, 2000, 2022, 9394, 3413, 1012, 2878, 2041, 1996, 2843, 3098, 1999, 1996, 2543, 14876, 2595, 5587, 1011, 2006, 2015, 3573, 1012, 1996, 2548, 3212, 12607, 7220, 13898, 2001, 2028, 1997, 1996, 2087, 8203, 2720, 3022, 1997, 1996, 2117, 2088, 2162, 1998, 2003, 1037, 21025, 2546, 1999, 1996, 2282, 1011, 2440, 1997, 2210, 3742, 1012, 2676, 1025, 4424, 28616, 9006, 23041, 21261, 1010, 2046, 6244, 3715, 1010, 3227, 13368, 2078, 1999, 2524, 1011, 4061, 9933, 4813, 1998, 2101, 2001, 1996, 7451, 3471, 1012, 5862, 4239, 19965, 2674, 8571, 4193, 2000, 1996, 15140, 8816, 1010, 1996, 9663, 1997, 3617, 4489, 1010, 1999, 2151, 2391, 2030, 2543, 1011, 2490, 2003, 2200, 1996, 7977, 4355, 1998, 2087, 3697, 3399, 1997, 1048, 16363, 1012, 2058, 23663, 1010, 8068, 1010, 1998, 10585, 1010, 1999, 2023, 1998, 1999, 2087, 1055, 7143, 7636, 2215, 3053, 1998, 2069, 2006, 1996, 4748, 10020, 2012, 2967, 2004, 2114, 6550, 1012, 2009, 8847, 8152, 1011, 8182, 2005, 1037, 1004, 15718, 2000, 2022, 2000, 2031, 7561, 2073, 2010, 3348, 2003, 1037, 13746, 1012, 2023, 2038, 14801, 1037, 3292, 1997, 3528, 1999, 2023, 2566, 9103, 2854, 2008, 2296, 2537, 14087, 1037, 3348, 1997, 2116, 5426, 1997, 23807, 23198, 4208, 2011, 6048, 2114, 5167, 1010, 2302, 1037, 2197, 4807, 1997, 2028, 1997, 2122, 4411, 19432, 6728, 19811, 2005, 18433, 1012, 2057, 2175, 2005, 1996, 8816, 2192, 25987, 1012, 15802, 2000, 2023, 3075, 3268, 3734, 5462, 2138, 2057, 2031, 2017, 2031, 4975, 4357, 16592, 2015, 2000, 2022, 1996, 2911, 1012, 3531, 2862, 2270, 2008, 2897, 1998, 4409, 2846, 23657, 2006, 2115, 2326, 1998, 2008, 2017, 2031, 2004, 7495, 2068, 2013, 6942, 1012, 8590, 2011, 13443, 2595, 1010, 4297, 1012, 1996, 2353, 1011, 4400, 1006, 2592, 1007, 2104, 9153, 4570, 2035, 2279, 1012, 2057, 2024, 2335, 2612, 4372, 7138, 6675, 2006, 1996, 5902, 2015, 1997, 13892, 2015, 1010, 2308, 1010, 1998, 26578, 2015, 1010, 2975, 2021, 2025, 2042, 2000, 2216, 2007, 1037, 9413, 23924, 3560, 8816, 2192, 25987, 23689, 6590, 6935, 5403, 1999, 6529, 1007, 1010, 6764, 1010, 1998, 1055, 4813, 1012, 6481, 2000, 2022, 2991, 10476, 1012, 2057, 2393, 1037, 14216, 8995, 1999, 1996, 2995, 27118, 9468, 4648, 9243, 2008, 11027, 1010, 2298, 1010, 1998, 2514, 6550, 1998, 4490, 1998, 1999, 1996, 2187, 1011, 3358, 1010, 2219, 1010, 1998, 2613, 6438, 1997, 2216, 5534, 1012, 11107, 2323, 3277, 4207, 2116, 1998, 2034, 11216, 1025, 2760, 5484, 3762, 1010, 8066, 1010, 14163, 20009, 11921, 1010, 4182, 1010, 7492, 1010, 1998, 6970, 28823, 4813, 2000, 1996, 3720, 1997, 2308, 1998, 21327, 5993, 2187, 4061, 1012, 9618, 2521, 7159, 2232, 1006, 4676, 1007, 1010, 2008, 2097, 3857, 4445, 2836, 2007, 1037, 9446, 1997, 2512, 1011, 12064, 2308, 1010, 2108, 2576, 2671, 1010, 3978, 1010, 8995, 1010, 1998, 2394, 1012, 1045, 2025, 18921, 19763, 2000, 3305, 3287, 2008, 2027, 2298, 2200, 11828, 2026, 15544, 14728, 2140, 8816, 2192, 25987, 2273, 2030, 2151, 2206, 3463, 1045, 3495, 4553, 2788, 2000, 2031, 1996, 2047, 3860, 1012, 1045, 4374, 2026, 3767, 1998, 2022, 2068, 2000, 6611, 1012, 3929, 1010, 1045, 8175, 2000, 4965, 2000, 2026, 18921, 7446, 2063, 6698, 1998, 2265, 2026, 4748, 10020, 2005, 2032, 1998, 2010, 11450, 1012, 10938, 8082, 3719, 2024, 4102, 2012, 1996, 2308, 1997, 2058, 2102, 1010, 17962, 6525, 2140, 2500, 2040, 11834, 2053, 2967, 1010, 2224, 3007, 2038, 5793, 1998, 2031, 2000, 4553, 3202, 2005, 3348, 1012, 3279, 1010, 2073, 1996, 5746, 2310, 2011, 2931, 2250, 1998, 3350, 1010, 8847, 2589, 2590, 18027, 2408, 1996, 6550, 1012, 2021, 1045, 4162, 2028, 1010, 2028, 2040, 2011, 7396, 1997, 2739, 1998, 3423, 3989, 1998, 3327, 2465, 12939, 2005, 4434, 1999, 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, 5943, 2373, 4247, 3930, 1999, 5135, 2158, 26020, 1010, 8117, 2078, 1012, 1006, 9706, 1007, 1517, 2726, 2128, 5705, 9589, 2053, 2936, 9273, 2559, 2012, 1996, 3751, 3021, 2005, 2010, 2307, 2314, 5427, 2449, 2006, 2167, 2314, 12792, 3298, 1012, 1523, 2026, 3751, 3021, 2109, 2000, 2022, 1002, 1018, 1010, 3156, 6604, 1010, 2085, 2009, 1521, 1055, 2091, 2000, 1002, 1015, 1010, 3263, 1037, 2095, 1012, 1524, 2128, 5705, 9589, 1010, 2040, 2018, 4229, 5943, 9320, 5361, 2006, 1996, 4412, 1998, 22091, 5582, 2015, 1997, 2010, 2311, 1010, 2056, 1996, 5211, 2001, 2092, 4276, 2009, 1012, 1523, 2009, 1521, 1055, 2042, 2307, 1012, 1045, 1521, 1040, 16755, 2009, 2000, 3087, 1010, 1524, 2002, 2409, 1996, 2158, 26020, 2489, 2811, 1012, 5943, 2373, 4247, 2000, 4982, 2802, 1996, 2555, 1998, 2110, 1010, 3271, 2011, 2976, 1998, 2110, 21134, 1998, 2011, 4792, 2000, 2896, 3751, 5366, 1998, 5547, 17975, 2006, 5317, 1998, 3019, 3806, 1012, 3505, 5297, 1010, 5766, 1998, 2522, 1011, 3910, 1997, 2035, 2943, 5943, 1010, 2056, 2037, 2147, 1999, 5135, 1998, 4193, 2163, 2038, 4961, 5901, 1999, 3522, 2086, 1012, 1523, 2065, 2017, 1521, 2128, 2183, 2000, 3477, 2115, 3751, 3021, 1010, 2017, 1521, 2128, 2183, 2000, 3477, 2009, 1996, 2717, 1997, 2115, 2166, 1517, 2009, 1521, 1055, 2066, 9278, 2075, 6451, 1012, 2065, 2017, 2202, 2491, 1998, 4965, 2115, 5943, 2291, 1010, 2044, 2008, 5414, 7909, 1010, 2017, 1521, 2128, 2589, 1998, 2017, 2123, 1521, 1056, 2031, 2000, 3477, 2151, 2062, 1010, 1524, 5297, 2056, 1012, 8963, 7658, 10128, 1010, 2451, 2458, 24555, 2005, 1996, 2555, 3157, 2458, 3222, 1010, 8069, 2000, 2393, 12996, 2130, 2062, 3037, 1999, 5943, 2011, 2893, 1996, 2555, 4591, 2004, 1037, 14017, 26212, 5339, 4351, 2555, 1012, 1523, 2045, 1521, 1055, 2053, 12361, 4804, 2008, 3310, 2007, 2009, 1010, 2021, 2009, 2453, 2191, 2555, 3157, 6975, 2005, 2060, 5943, 3454, 2065, 2045, 2024, 8624, 2091, 1996, 2240, 2065, 2057, 2265, 2057, 2106, 1996, 4190, 6198, 1012, 1524, 7658, 10128, 2056, 1996, 14017, 26212, 5339, 8259, 2036, 9005, 2062, 2270, 7073, 1998, 2495, 2055, 1996, 6666, 1997, 5943, 2373, 1012, 11797, 13433, 5017, 6977, 1010, 1997, 2158, 26020, 1010, 2038, 2042, 1037, 11155, 22488, 1997, 13918, 2943, 1998, 2003, 1037, 2266, 1997, 1996, 2148, 13013, 7941, 5135, 4550, 2943, 2473, 1012, 2002, 2056, 2976, 4171, 6495, 2024, 5115, 2000, 10434, 4983, 3519, 2128, 4887, 27844, 10057, 2068, 1012, 1523, 2027, 1521, 2128, 3254, 6887, 21369, 3070, 2041, 1996, 4171, 6495, 1012, 3519, 2038, 3668, 2068, 1999, 1996, 2627, 1999, 1037, 12170, 26053, 5450, 1012, 1045, 2228, 1996, 7597, 2006, 5943, 2024, 7510, 2061, 2172, 2009, 2089, 2025, 2191, 2172, 4489, 1006, 2065, 1996, 6495, 4654, 20781, 1007, 1012, 1523, 2065, 2027, 2165, 1996, 21762, 2125, 10725, 20145, 1010, 2009, 2052, 2428, 2393, 1012, 2256, 7773, 2024, 2183, 2000, 29082, 2039, 1996, 7224, 1010, 1524, 13433, 5017, 6977, 2056, 1012, 2241, 1999, 2358, 1012, 2703, 1010, 2035, 2943, 5943, 2038, 2589, 3365, 3293, 1998, 5647, 14111, 1999, 1996, 2158, 26020, 2555, 1012, 5297, 2056, 2087, 3293, 1998, 5647, 14111, 2024, 4412, 19363, 1010, 2021, 2008, 2065, 2111, 2031, 2282, 2006, 1996, 2598, 1010, 2027, 2089, 16500, 1996, 9320, 2045, 1012, 1523, 1037, 3484, 1997, 2111, 2404, 2009, 2006, 2037, 4412, 1012, 2009, 1521, 1055, 2019, 4493, 2686, 1012, 1996, 4412, 7719, 2045, 1998, 4152, 13750, 2011, 1996, 3103, 2296, 2154, 1998, 2111, 5382, 2027, 2031, 7070, 1010, 2769, 1011, 2437, 2686, 2074, 2682, 2037, 2132, 2008, 1521, 1055, 2725, 2498, 1012, 1524, 5297, 2056, 2008, 2061, 2521, 1996, 21887, 23350, 6090, 3207, 7712, 8440, 1521, 1056, 6171, 19209, 2037, 2449, 1012, 1523, 1045, 1521, 1049, 3407, 2000, 2360, 2057, 1521, 2310, 2018, 2200, 1010, 2200, 2261, 16990, 2015, 1012, 1045, 2228, 2009, 3065, 1996, 3643, 1997, 2054, 5943, 2515, 2005, 1996, 7325, 1012, 2009, 1521, 1055, 2823, 7021, 2004, 1037, 9542, 2204, 1010, 2021, 2009, 1521, 1055, 2428, 2019, 6827, 2204, 1012, 3071, 3791, 6451, 1998, 2651, 2043, 3071, 2003, 16966, 2006, 7494, 2296, 10647, 1010, 2054, 1521, 1055, 2488, 2084, 4363, 2019, 3239, 2006, 1996, 3465, 1997, 2115, 6451, 1029, 1524, 2010, 2194, 2003, 2725, 2053, 1011, 3967, 2147, 1010, 2073, 5126, 2123, 1521, 1056, 4607, 2619, 2015, 2188, 2030, 2449, 1012, 2002, 2056, 2027, 2224, 5871, 12126, 2000, 3193, 5144, 1998, 2064, 2079, 2172, 1997, 1996, 2147, 2027, 2342, 2000, 2302, 5738, 1037, 8013, 1521, 1055, 2188, 1012, 1523, 2012, 2070, 2391, 2057, 2097, 2342, 2000, 2272, 2503, 1010, 2021, 2057, 2064, 2079, 2008, 2091, 1996, 2346, 1012, 1524, 2096, 2027, 1521, 2310, 5632, 2086, 1997, 3930, 1010, 5297, 4282, 2477, 2097, 4030, 2091, 2023, 2095, 2349, 2000, 1996, 6090, 3207, 7712, 1012, 2021, 2002, 2056, 1996, 3930, 1997, 5943, 2097, 3613, 1012, 2002, 2056, 2002, 23876, 2111, 2040, 1521, 2310, 2641, 5943, 2000, 2298, 2046, 2009, 2574, 2000, 2202, 5056, 1997, 1996, 2976, 4171, 6495, 1010, 2029, 2024, 13993, 2169, 2095, 1012, 1523, 1996, 2976, 4171, 4923, 2003, 2656, 1003, 2157, 2085, 1012, 2197, 2095, 2009, 2001, 2382, 1003, 1012, 2279, 2095, 2009, 2097, 2991, 2000, 2570, 1003, 1010, 1998, 1999, 16798, 2475, 2009, 3632, 2185, 2005, 5647, 1998, 3632, 2000, 2184, 1003, 2005, 3293, 5144, 1012, 1524, 5297, 2056, 2045, 2024, 3971, 2008, 2111, 2064, 5843, 1999, 2023, 2095, 1521, 1055, 2656, 1003, 4171, 4923, 2130, 2065, 2027, 2123, 1521, 1056, 2941, 3857, 1996, 5943, 2291, 2127, 2279, 2095, 2030, 3458, 1012, 2002, 2056, 2110, 2504, 21134, 2036, 2024, 3278, 1012, 1523, 16548, 1999, 1996, 2110, 3749, 5658, 8316, 2075, 1012, 2009, 2987, 1521, 1056, 2614, 7916, 2021, 2009, 1521, 1055, 1037, 2428, 2844, 20438, 1012, 2009, 2758, 2008, 2065, 2017, 2123, 1521, 1056, 2224, 2070, 1997, 1996, 6451, 2013, 2115, 2291, 1010, 1996, 9710, 2097, 4965, 2009, 2067, 2013, 2017, 2012, 1996, 2168, 2030, 2714, 3446, 2017, 3477, 2005, 6451, 1012, 2008, 1521, 1055, 1996, 5221, 20438, 1999, 1996, 2110, 1012, 1524, 5297, 2056, 1060, 29109, 2943, 2036, 2038, 3365, 5943, 3454, 2800, 2006, 2119, 5647, 1998, 3293, 5943, 1012, 2002, 2056, 1996, 3465, 1997, 23658, 1037, 5943, 2291, 2038, 5357, 2013, 2382, 1003, 2000, 2753, 1003, 1999, 3522, 2086, 1010, 2349, 2000, 1996, 4530, 1999, 3941, 5366, 2164, 1996, 9320, 1010, 1999, 16874, 2545, 1998, 14513, 2075, 3941, 1012, 5297, 2056, 2087, 2111, 2202, 1037, 2184, 1011, 2095, 5414, 2000, 3477, 2005, 2037, 5943, 3934, 1012, 1523, 1037, 5943, 2291, 2003, 10943, 6340, 2005, 2423, 2086, 1998, 2097, 2197, 2936, 2084, 2008, 1012, 1524, 2128, 5705, 9589, 2985, 1002, 3515, 1010, 2199, 2005, 1996, 4229, 1011, 5997, 5943, 2291, 2006, 2010, 5427, 2311, 1010, 5361, 1999, 2355, 1012, 1523, 2026, 3477, 5963, 2558, 2003, 2809, 2086, 1012, 2044, 2008, 2009, 1521, 1055, 2035, 2489, 2769, 1012, 1524, 1523, 1999, 2258, 1010, 2089, 1998, 2238, 1010, 1045, 2941, 2131, 1037, 4638, 2067, 2013, 1060, 29109, 2138, 2045, 2003, 3103, 9716, 1998, 1045, 1521, 1049, 2025, 2478, 2172, 2250, 14372, 1012, 2059, 2251, 1998, 2257, 2045, 1521, 1055, 2788, 1037, 5717, 3021, 1012, 2059, 2026, 3021, 3632, 2039, 1999, 1996, 3467, 2043, 2045, 1521, 1055, 2025, 2004, 2172, 3103, 1012, 1524, 2128, 5705, 9589, 2056, 2045, 2020, 2070, 19299, 2006, 2010, 4412, 2008, 8729, 2032, 2013, 2383, 2035, 1996, 9320, 5361, 2045, 1010, 2061, 2070, 2020, 2872, 2006, 1996, 22091, 5582, 2015, 1997, 1996, 2311, 1012, 1523, 2027, 2024, 3886, 22091, 5582, 2015, 1010, 2061, 2027, 2020, 2844, 2438, 2000, 2907, 2068, 1012, 1524, 2010, 8272, 2001, 2589, 2011, 1062, 23111, 9257, 3751, 1010, 1037, 5943, 5997, 8272, 2194, 2241, 1999, 17056, 3239, 1012, 1523, 2026, 2291, 2003, 4198, 2083, 1037, 3274, 2291, 2000, 1062, 23111, 9257, 1521, 1055, 2436, 1010, 2061, 2027, 2027, 8080, 1996, 9320, 1998, 2191, 2469, 2673, 2003, 2551, 1012, 1045, 2123, 1521, 1056, 2031, 2000, 2079, 2505, 1012, 1524, 2128, 5705, 9589, 2056, 2008, 2065, 2002, 2018, 4469, 2686, 1010, 2002, 2763, 2052, 2031, 2404, 1996, 5943, 9320, 2006, 1996, 2598, 1012, 1523, 1996, 3924, 2006, 1996, 2598, 2017, 2064, 2131, 2068, 2000, 24357, 2007, 1996, 3103, 1010, 2061, 2027, 1521, 2128, 2130, 2062, 8114, 1012, 1524, 2028, 4009, 5963, 2000, 4412, 19363, 2003, 2008, 2065, 1037, 4412, 3791, 2000, 2022, 12277, 11533, 2030, 2060, 4412, 2147, 2589, 1996, 9320, 2031, 2000, 2022, 3718, 1998, 2059, 2404, 2067, 2039, 1012, 2021, 5297, 1998, 2128, 5705, 9589, 2056, 2008, 2116, 3293, 3121, 2031, 3886, 15753, 1012, 1523, 2065, 2017, 2031, 1037, 3384, 4412, 1010, 2009, 2323, 2197, 2753, 2086, 1998, 19820, 2075, 2151, 12642, 2017, 5807, 1521, 1056, 2031, 2000, 3066, 2007, 2115, 4412, 2153, 1010, 1524, 2128, 5705, 9589, 2056, 1012, 7658, 10128, 2003, 2047, 2000, 1996, 2555, 3157, 2458, 3222, 1998, 2000, 1996, 2110, 1010, 2383, 2272, 2013, 4108, 1012, 2002, 2657, 2055, 1996, 14017, 26212, 5339, 2565, 2043, 2619, 2013, 1996, 2307, 8575, 2820, 3764, 2012, 1037, 2148, 13013, 7941, 5135, 4550, 2943, 3116, 2002, 3230, 1012, 1523, 1996, 14017, 26212, 5339, 8259, 2003, 2013, 1996, 2533, 1997, 2943, 1998, 2009, 3065, 2115, 2451, 1010, 2030, 1999, 2256, 2553, 2555, 1010, 2003, 5943, 3201, 1998, 2330, 2005, 5943, 2449, 1010, 2164, 2592, 2800, 2000, 1996, 2270, 2055, 12135, 7047, 1998, 2592, 2055, 5943, 1999, 2236, 1998, 2592, 2055, 9537, 1999, 2367, 7602, 1012, 1524, 7658, 10128, 2056, 2002, 6732, 2045, 2024, 20851, 6695, 2005, 5943, 3930, 1010, 2021, 2002, 3964, 2070, 4559, 2038, 4961, 2114, 3469, 5943, 5822, 1999, 2070, 2752, 1012, 2070, 2181, 5721, 2031, 2404, 5741, 26821, 24390, 2015, 2006, 2047, 5943, 5822, 1010, 2029, 2024, 2788, 2328, 2006, 2625, 13318, 2455, 3079, 2011, 6617, 1012, 5245, 5963, 2000, 2068, 2038, 3227, 2272, 2013, 10638, 2040, 2444, 2379, 2019, 3751, 4942, 20100, 1012, 2008, 1521, 1055, 2138, 3316, 2311, 1996, 5943, 5822, 2066, 2000, 2173, 2068, 2485, 2000, 1996, 4942, 20100, 2015, 2061, 2027, 2123, 1521, 1056, 2031, 2000, 2448, 2146, 2373, 3210, 2013, 1996, 5943, 5822, 2000, 1996, 4942, 20100, 1012, 2008, 2038, 2419, 2000, 1037, 9324, 2075, 1997, 5943, 5822, 1999, 2070, 2752, 1998, 2062, 4559, 2013, 10638, 1012, 2045, 2024, 2055, 1021, 1010, 3156, 5943, 27448, 1999, 5135, 2007, 1015, 1010, 2199, 1997, 2216, 5361, 1999, 2055, 1996, 2197, 2095, 1012, 1996, 6372, 1999, 2286, 16714, 2008, 2502, 16548, 9699, 1015, 1012, 1019, 1003, 1997, 2037, 2373, 2013, 1996, 3103, 2011, 12609, 1012, 1996, 2110, 2525, 2038, 14872, 2008, 3125, 2007, 2062, 2084, 1016, 1003, 1997, 2049, 2373, 2085, 2746, 2013, 5943, 1012, 2062, 2451, 5943, 5822, 2031, 2042, 2328, 2105, 1996, 2110, 1010, 4352, 2111, 2000, 4965, 1037, 15002, 2000, 2131, 2037, 2373, 2013, 1996, 5943, 5822, 1012, 13433, 5017, 6977, 2056, 5943, 5822, 2024, 1037, 2204, 4522, 2005, 2116, 2111, 2040, 2215, 2000, 2131, 13918, 2943, 1012, 1523, 2005, 2111, 2040, 2123, 1521, 1056, 2031, 1996, 2769, 2030, 2672, 1996, 2157, 3200, 2000, 16500, 5943, 1010, 1996, 2451, 5943, 5822, 2024, 1037, 2204, 5724, 1012, 2021, 2017, 2031, 2000, 2022, 2469, 2017, 2024, 6608, 2039, 2007, 1037, 2204, 2028, 1012, 2045, 2031, 2042, 2070, 4875, 1011, 2011, 1011, 2305, 3136, 1012, 1524, 2096, 13433, 5017, 6977, 2056, 2045, 2031, 2042, 2070, 2919, 2867, 1999, 1996, 5943, 3068, 1010, 2009, 1521, 1055, 3352, 2625, 1997, 1037, 3291, 1012, 1523, 1996, 11004, 15608, 2024, 4634, 2041, 1998, 2057, 1521, 2310, 4342, 1037, 2843, 2062, 2055, 5943, 1012, 1524, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2112, 2274, 1024, 2746, 2000, 3408, 2009, 2001, 5262, 1037, 12246, 2715, 1012, 1012, 1012, 16633, 1012, 1996, 2755, 2008, 2009, 2001, 1999, 1996, 8102, 1517, 2030, 3383, 1037, 4942, 1011, 8102, 1997, 2070, 4066, 1025, 2057, 2253, 2091, 1037, 2843, 1997, 5108, 1517, 2106, 2242, 2000, 19444, 1996, 1523, 16633, 1524, 2112, 1012, 2021, 2009, 2001, 4550, 1010, 2092, 1011, 5507, 1024, 2048, 3681, 4993, 2317, 1010, 2048, 4993, 2304, 1025, 2045, 2001, 1037, 2332, 2946, 2793, 1999, 2028, 3420, 1010, 2054, 2246, 2066, 1037, 3635, 18412, 2121, 1521, 1055, 6847, 1999, 2178, 1010, 11687, 4667, 1998, 28054, 2006, 1996, 3681, 1997, 1996, 2353, 3420, 1010, 2054, 1045, 8078, 2000, 2022, 1037, 5723, 1999, 1996, 2197, 1012, 2045, 2020, 14607, 5689, 2013, 1996, 2304, 1011, 4993, 5894, 1010, 2247, 2028, 2813, 1010, 2029, 2404, 2033, 1999, 2568, 1997, 1037, 2152, 2082, 9726, 1025, 2045, 2020, 17860, 1010, 19586, 1010, 1998, 17952, 1523, 17632, 2015, 1524, 1997, 2536, 10466, 1998, 10826, 25259, 2055, 1010, 2029, 2404, 2033, 1999, 2568, 1997, 2154, 16302, 1012, 2247, 2178, 2813, 2045, 2001, 2242, 2008, 2246, 1037, 2210, 2066, 2019, 4816, 9019, 1010, 2029, 2596, 2000, 2022, 2006, 1037, 17320, 3233, 1010, 2007, 1037, 2261, 20053, 2328, 2046, 2009, 1012, 1996, 17962, 6525, 2140, 2491, 2604, 1012, 2279, 2000, 2009, 1010, 2045, 2001, 2054, 2246, 2000, 2022, 1037, 6228, 5495, 14513, 1010, 2029, 2218, 2058, 1037, 6474, 1012, 1012, 1012, 22164, 1012, 1996, 6493, 2246, 2066, 1037, 7087, 11473, 1025, 1996, 20047, 15881, 2019, 2214, 1011, 13405, 5898, 15082, 2358, 18981, 1012, 1037, 2846, 1997, 28054, 2001, 15981, 5412, 1010, 5689, 2006, 2813, 25039, 2015, 1517, 1045, 4622, 2026, 2269, 1521, 1055, 2147, 10609, 2818, 1010, 2013, 2026, 5593, 2188, 1024, 1045, 2431, 1011, 3517, 4463, 7186, 2000, 2031, 4567, 12115, 22106, 2006, 1996, 2813, 1010, 2000, 2191, 2469, 2673, 2001, 2404, 2067, 1999, 1996, 2157, 2173, 1012, 1999, 1996, 2690, 1997, 1996, 2282, 2045, 2001, 1037, 2980, 14366, 1010, 28290, 2098, 2046, 1996, 2723, 1010, 2007, 1037, 14090, 15161, 2008, 2246, 2066, 2009, 2001, 3442, 2041, 1997, 3418, 4199, 1012, 1996, 2300, 1999, 2009, 2001, 2145, 1010, 25312, 18980, 1010, 1998, 19986, 1012, 1045, 2018, 5864, 2074, 2503, 1996, 2341, 1010, 2635, 2035, 1997, 2023, 1999, 1012, 2069, 2008, 2028, 2341, 1025, 2053, 3645, 1012, 4463, 7186, 8217, 9311, 2098, 2010, 3093, 2090, 2026, 3244, 10491, 1010, 2435, 2033, 1996, 15989, 16371, 11818, 2646, 4367, 1012, 2026, 9222, 2020, 11058, 1012, 1523, 2065, 2017, 2052, 2074, 2175, 2058, 1998, 3233, 2012, 1996, 3329, 1997, 1996, 2793, 1010, 2026, 6203, 1010, 10051, 2021, 6729, 1010, 12206, 2006, 1996, 13342, 1012, 2045, 2024, 2477, 2057, 2052, 2079, 2092, 2000, 6848, 1012, 1524, 1045, 2106, 2004, 1045, 2018, 2042, 2409, 1010, 3456, 1037, 2210, 15311, 1010, 5505, 3402, 1037, 2978, 24122, 1012, 2009, 2001, 1012, 1012, 1012, 8552, 1010, 2029, 2002, 4415, 5319, 2006, 2061, 2116, 2062, 3798, 2084, 1045, 2106, 1517, 2029, 1010, 1997, 2607, 1010, 2001, 3497, 1037, 2204, 2112, 1997, 2339, 1045, 2001, 2045, 1024, 2619, 2040, 2288, 2009, 1025, 2619, 2040, 2018, 2042, 2045, 1012, 1996, 2773, 3040, 2001, 3402, 1999, 2026, 2132, 2007, 2172, 2062, 15563, 1998, 17011, 2084, 2009, 2018, 2412, 2018, 2005, 2033, 2077, 1012, 4463, 7186, 2001, 1037, 3040, 1997, 2023, 3663, 1025, 2002, 2001, 1037, 3040, 1997, 2023, 1523, 9580, 1524, 1025, 2002, 2001, 1037, 3040, 1517, 3383, 1517, 1997, 2119, 2010, 2219, 6580, 1998, 3067, 1012, 1998, 1045, 2001, 2025, 2000, 2655, 2032, 3040, 1517, 2029, 5064, 4081, 2008, 1996, 2516, 2001, 2010, 1010, 2021, 2026, 2224, 1997, 2009, 2001, 2000, 2022, 3687, 1012, 1523, 2025, 2004, 2664, 1010, 1524, 2002, 1521, 1040, 2056, 1012, 1523, 2909, 2097, 10514, 26989, 3401, 2005, 2085, 1012, 1524, 1523, 2748, 1012, 1012, 1012, 2909, 1010, 1524, 1045, 3990, 1012, 2002, 2018, 2356, 2033, 2055, 2304, 1998, 2317, 1012, 2054, 2106, 1045, 2215, 1517, 2030, 2228, 1045, 2359, 1010, 4312, 1029, 2054, 2106, 1045, 1517, 2012, 2560, 2005, 1996, 2051, 2108, 1517, 5136, 1037, 2524, 5787, 1029, 1523, 2021, 2059, 1010, 1524, 2002, 1521, 1040, 2056, 1010, 15732, 2067, 1998, 5743, 2369, 2033, 1010, 2085, 1998, 2059, 2770, 1996, 10247, 1997, 2010, 3093, 2058, 1996, 2980, 1010, 2417, 3302, 1997, 2026, 10007, 25384, 1010, 2823, 2074, 4510, 12216, 1996, 2327, 1997, 1996, 18856, 29218, 1010, 1523, 1996, 2428, 18740, 2100, 2112, 1517, 1997, 2607, 999, 1517, 2003, 1996, 4462, 1012, 2008, 1521, 1055, 2073, 2111, 2411, 2131, 2046, 4390, 1012, 1524, 7750, 2018, 11677, 4512, 1024, 2044, 16021, 26310, 2033, 2000, 3233, 2012, 1996, 3329, 1997, 1996, 2793, 1010, 3621, 6260, 1010, 3093, 9311, 2098, 2006, 1996, 13342, 1010, 2002, 2018, 2579, 1037, 12257, 2135, 27244, 2000, 1996, 1523, 5495, 14513, 1524, 1998, 2067, 1012, 2002, 2018, 3491, 2033, 1996, 15082, 2358, 18981, 1517, 3383, 2809, 5282, 1997, 5898, 1010, 2055, 2019, 4960, 2408, 1012, 1523, 2017, 9369, 1010, 5003, 4648, 1010, 1524, 2002, 1521, 1040, 2056, 5251, 1010, 1523, 2106, 2017, 2025, 1029, 2043, 2017, 2020, 10290, 2000, 4487, 21338, 20891, 1029, 1524, 1523, 2748, 1010, 2909, 1010, 1524, 1045, 1521, 1040, 8726, 1010, 2667, 2025, 2000, 2191, 1996, 2616, 1037, 13673, 1012, 1523, 1998, 2129, 2323, 2028, 3066, 2007, 1037, 2919, 2210, 2611, 2040, 2987, 1521, 1056, 3582, 8128, 1010, 17012, 1029, 1524, 1523, 2027, 2323, 2022, 1517, 1524, 1045, 2018, 4390, 2025, 20040, 1999, 15762, 2342, 1010, 1523, 1045, 2323, 2022, 1517, 1524, 2002, 3432, 2768, 1998, 4741, 1012, 1523, 3531, 1010, 2909, 999, 1524, 1045, 2633, 3266, 1010, 1523, 1045, 2342, 2017, 2000, 2191, 2033, 1037, 2204, 2210, 2611, 1012, 1524, 2002, 4782, 2033, 5251, 2006, 1996, 23634, 1997, 2026, 3300, 1010, 2029, 2081, 2033, 5376, 1037, 2210, 1010, 2059, 12885, 3764, 1037, 2309, 2773, 2046, 2026, 4540, 1012, 1045, 2354, 1996, 3437, 1024, 1523, 2416, 1997, 1996, 2190, 1010, 2909, 1025, 8897, 2041, 1012, 3531, 999, 1524, 2002, 1521, 1040, 16829, 2026, 5227, 1012, 18856, 16613, 2075, 2026, 9222, 2362, 1998, 23139, 2068, 2004, 2002, 25694, 2033, 1010, 2006, 1996, 2959, 6271, 1045, 2001, 2200, 2485, 2000, 14463, 2075, 1012, 2002, 5864, 1010, 2059, 23277, 8004, 11533, 2010, 3093, 2090, 2026, 3456, 1010, 9359, 2068, 1012, 1523, 2025, 2302, 6656, 1010, 1524, 2002, 7152, 5238, 1012, 1523, 2017, 2113, 2008, 1012, 1524, 6656, 2001, 2025, 4379, 1025, 2002, 2134, 1521, 1056, 2130, 5587, 4469, 2005, 2008, 4487, 6499, 8270, 13684, 1517, 2029, 5399, 14909, 1010, 1998, 3621, 9364, 1010, 2033, 1012, 2043, 2002, 1521, 1040, 2736, 1010, 2026, 2303, 2371, 3751, 1998, 4142, 1999, 1037, 2126, 2008, 2053, 2060, 7750, 2018, 2412, 5360, 2033, 1517, 3383, 2138, 2002, 2018, 2187, 2033, 1012, 1012, 1012, 4895, 16570, 2666, 7178, 1012, 1045, 2371, 1996, 5955, 1997, 1037, 4344, 2006, 1996, 13554, 5526, 1997, 2026, 13843, 3372, 1010, 2004, 2295, 2002, 2020, 7302, 1025, 2002, 2333, 2009, 4445, 2039, 4496, 2091, 1998, 2059, 3706, 2067, 1012, 1996, 4462, 2001, 1996, 18740, 2100, 2112, 1012, 2057, 10641, 2008, 2005, 2070, 2051, 1517, 2033, 3262, 5962, 1010, 2021, 3228, 2032, 3649, 2592, 2002, 2356, 2005, 1010, 2004, 9826, 2004, 1045, 2071, 1012, 2059, 2002, 11885, 28022, 2135, 2185, 2013, 2033, 2005, 1037, 2261, 5312, 1025, 1045, 2657, 1996, 2614, 1997, 1037, 5239, 3098, 1998, 5494, 1025, 2002, 2001, 2067, 1012, 2002, 2768, 13862, 2039, 2114, 2033, 1010, 2010, 13760, 9311, 2075, 2010, 6471, 1010, 21603, 2012, 2026, 2980, 1010, 14699, 10007, 25384, 1012, 4285, 2105, 1999, 2392, 1997, 2033, 2007, 2119, 2608, 1010, 2002, 3662, 2033, 2054, 2002, 2001, 3173, 1024, 1037, 7270, 1997, 11320, 23736, 9336, 2102, 1999, 2028, 2192, 1025, 1037, 5396, 1011, 7451, 10007, 13354, 1999, 1996, 2060, 1012, 1523, 2008, 3535, 2012, 24641, 5165, 1010, 1524, 2002, 2056, 1010, 4092, 2007, 2010, 4451, 1999, 2026, 2606, 1010, 2010, 3052, 4010, 2006, 2026, 21065, 1010, 1523, 2442, 2022, 8280, 1012, 1524, 1045, 2435, 1037, 4248, 1010, 25735, 7293, 1012, 1523, 2034, 2125, 1010, 1524, 2002, 2056, 1517, 1998, 2059, 2045, 2001, 1037, 3435, 29198, 2075, 1010, 24665, 5243, 7741, 1010, 1998, 3813, 23851, 1010, 2008, 28801, 1037, 2783, 1997, 5165, 1998, 3255, 2083, 2026, 2303, 1012, 1523, 2117, 2125, 1010, 1524, 2002, 2056, 1010, 3810, 2033, 2105, 2000, 2227, 2032, 1010, 1523, 2017, 2031, 2439, 1996, 14293, 1997, 5929, 2076, 6265, 1012, 1524, 1045, 7948, 2012, 2023, 2004, 2010, 2398, 2006, 2026, 4065, 2211, 3254, 7827, 2033, 2000, 2026, 5042, 2077, 2032, 1012, 1523, 2353, 2125, 1010, 1524, 2002, 2056, 1010, 25672, 2075, 1996, 9891, 18886, 3070, 2006, 2010, 6471, 2004, 1045, 2246, 2039, 2012, 2032, 5987, 15706, 1010, 1523, 2057, 2097, 2424, 2178, 2126, 2000, 2938, 2063, 2008, 9012, 1012, 1524, 2009, 2738, 2062, 1059, 27065, 2026, 18923, 1517, 2029, 2790, 2000, 2022, 2010, 6808, 4312, 1012, 1523, 2043, 2017, 3288, 2041, 1996, 7967, 9587, 17854, 2063, 1010, 2052, 2017, 2022, 2061, 2785, 2004, 2000, 3288, 2033, 1996, 14298, 18856, 25167, 1010, 2004, 2092, 1029, 1524, 1523, 1997, 2607, 1010, 2909, 1012, 1524, 2016, 2815, 3061, 2279, 2000, 2010, 3242, 1010, 2010, 2192, 2104, 2014, 9764, 1010, 14943, 1998, 14161, 13775, 2075, 2014, 3953, 1010, 2004, 2002, 17735, 2010, 4511, 1012, 1523, 1996, 2417, 15281, 2030, 1996, 2304, 1010, 2909, 1029, 1524, 2016, 2056, 12825, 1012, 1996, 14161, 13775, 2075, 5864, 1012, 1523, 1996, 2417, 1010, 1524, 2002, 2056, 2000, 2033, 1010, 1523, 2031, 22737, 3064, 7926, 1012, 2008, 1521, 1055, 1037, 2210, 8401, 2005, 2044, 6265, 1045, 2228, 1012, 1996, 2304, 2005, 2085, 1010, 20245, 1025, 2017, 2089, 2175, 1012, 1524, 2125, 2016, 2253, 1010, 2006, 17727, 15094, 17296, 2152, 9997, 8265, 1517, 2029, 2020, 1997, 1037, 3538, 2007, 1996, 2717, 1997, 2014, 20426, 1024, 2016, 2001, 5102, 2066, 1037, 26932, 12354, 1997, 1037, 2413, 10850, 1012, 1045, 2001, 1999, 1012, 1012, 1012, 2242, 1997, 1037, 2110, 1012, 4463, 2018, 13127, 2033, 2039, 2013, 1996, 16633, 2006, 2010, 2849, 1010, 2004, 2295, 2057, 2020, 27244, 2075, 2046, 2019, 3850, 2160, 1010, 2872, 1037, 17517, 20619, 2006, 1996, 3242, 1010, 2077, 11434, 2033, 2000, 4133, 1010, 2059, 1517, 2004, 2065, 2019, 2044, 2705, 10593, 2102, 2077, 2002, 2938, 2370, 1010, 2056, 1010, 1523, 2065, 2017, 2071, 4139, 1996, 3242, 2185, 2013, 1996, 2795, 2074, 1037, 2978, 1010, 1998, 6466, 2009, 2646, 2033, 1029, 3819, 999, 1998, 1045, 1521, 1049, 2469, 2017, 1521, 2222, 2022, 1037, 2204, 2611, 2005, 2033, 1998, 2562, 2115, 15392, 2006, 1996, 6058, 3341, 1997, 1996, 3242, 3456, 1010, 2180, 1521, 1056, 2017, 1029, 1524, 3953, 14699, 1010, 2417, 1010, 1998, 1012, 1012, 1012, 11812, 1010, 9222, 2145, 4954, 1010, 19857, 24167, 1010, 26608, 1010, 1998, 4211, 2094, 1010, 1045, 12953, 1037, 2210, 1010, 1998, 3266, 2000, 2360, 1010, 1523, 2748, 1010, 2909, 1010, 1524, 2029, 4415, 7537, 2032, 1012, 2339, 2001, 1045, 7568, 2011, 24820, 2032, 1029, 2092, 1012, 1012, 1012, 3383, 2008, 2347, 1521, 1056, 1996, 5976, 4355, 2112, 1997, 6265, 1010, 2030, 2026, 3663, 3452, 1012, 2008, 1045, 2001, 15287, 1998, 10959, 2004, 1045, 2001, 6904, 5422, 20245, 2004, 2210, 2004, 1996, 9004, 3436, 1998, 3742, 16594, 1997, 2014, 3953, 2008, 26136, 25638, 2014, 3529, 1997, 1996, 7954, 1012, 2045, 2001, 1037, 2210, 2978, 1997, 29321, 4281, 13950, 2989, 2055, 1010, 8858, 1997, 2536, 13560, 2183, 2055, 2037, 2449, 1010, 2026, 4650, 4593, 4498, 8841, 1517, 2030, 2074, 3294, 4895, 28578, 17007, 3085, 1517, 2000, 2068, 1012, 20245, 2513, 2007, 2048, 8223, 26576, 3619, 1997, 7967, 9587, 17854, 2063, 1010, 1037, 2210, 24299, 1997, 12428, 6949, 1010, 1998, 1037, 2309, 16876, 22286, 2169, 1012, 2016, 5565, 2028, 1999, 2392, 1997, 2033, 1010, 12816, 2075, 2012, 1996, 2168, 2051, 1037, 10658, 1011, 7451, 15642, 1012, 2279, 2000, 4463, 1521, 1055, 4664, 1010, 2016, 2872, 1037, 2235, 1010, 2304, 1010, 10560, 1011, 10966, 3482, 1010, 1997, 1996, 4066, 2008, 2453, 5383, 2019, 8147, 3614, 1012, 2023, 3327, 3482, 2218, 1037, 3940, 1997, 2304, 14298, 18856, 25167, 1012, 1523, 20245, 2003, 2183, 2000, 22476, 1996, 18856, 25167, 1010, 1524, 2002, 2056, 5238, 1010, 2053, 5783, 1997, 3160, 2045, 1012, 1523, 1045, 2052, 2200, 2172, 2066, 1517, 2004, 1037, 18064, 4024, 2005, 2119, 1997, 2149, 1010, 2065, 2017, 2097, 1517, 2000, 3422, 2014, 3288, 2017, 2000, 14463, 1010, 2096, 2057, 1012, 1012, 1012, 3926, 2039, 1012, 1524, 20245, 20354, 2646, 2033, 1010, 18856, 25167, 1999, 2192, 1010, 12804, 1998, 4987, 2068, 2000, 2026, 2525, 4487, 16173, 5732, 28124, 1010, 5059, 1037, 2210, 9610, 14536, 1998, 1037, 12008, 1010, 2004, 2169, 2028, 2978 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2750, 1996, 2739, 2055, 9099, 11108, 6276, 2037, 15002, 6140, 2565, 1998, 3071, 17949, 2055, 1996, 3768, 1997, 7298, 2122, 2420, 1010, 1045, 2941, 2228, 6140, 2003, 2383, 1037, 26303, 1012, 2096, 2045, 4995, 1521, 1056, 2151, 1523, 2350, 1524, 7058, 6140, 5523, 1999, 1996, 1057, 1012, 1055, 1012, 4661, 27042, 2121, 1010, 2045, 2024, 1037, 9210, 1997, 2981, 1062, 10586, 1998, 23848, 2015, 2746, 2041, 2006, 1037, 3180, 3978, 2408, 1996, 2088, 1012, 2469, 1010, 2037, 3616, 4995, 1521, 1056, 4121, 1010, 2021, 2111, 2024, 2941, 3752, 2068, 1010, 9107, 2068, 1010, 1998, 7494, 2068, 1010, 1996, 2126, 2008, 6267, 17260, 3430, 2323, 2022, 10202, 1012, 2087, 1997, 2149, 5993, 2008, 3617, 2003, 1008, 10892, 1008, 6020, 2000, 6140, 2005, 2087, 2477, 1006, 4239, 2075, 6876, 1010, 14739, 2039, 1996, 14751, 12225, 1010, 10537, 2568, 3238, 17260, 13012, 9035, 1007, 1010, 2021, 17260, 7760, 2097, 2196, 2298, 2004, 2204, 2006, 2115, 16021, 23091, 5438, 2004, 2027, 2079, 2043, 2027, 1521, 2128, 6267, 2006, 1037, 3538, 1997, 3259, 1010, 1998, 2027, 1521, 2128, 2025, 2431, 2004, 4569, 2000, 3745, 2030, 9152, 25856, 6799, 2058, 2007, 2115, 2814, 1012, 1006, 2012, 2560, 1010, 2127, 2057, 2031, 7605, 27830, 7760, 2017, 2064, 3328, 2083, 2030, 2242, 1012, 2059, 6267, 17260, 7760, 2024, 5621, 21746, 1012, 1007, 2007, 2008, 1999, 2568, 1010, 2057, 8352, 2039, 1037, 2261, 1997, 2256, 5440, 6140, 7298, 2013, 2105, 1996, 2088, 2000, 2191, 2469, 2256, 8141, 2020, 5204, 1997, 2037, 4598, 1998, 2672, 2130, 2393, 16906, 2039, 2037, 9141, 3616, 1012, 9467, 3238, 2969, 4712, 1024, 2348, 2057, 5247, 1037, 2843, 1997, 2051, 3784, 1010, 2057, 1521, 2128, 2036, 1999, 6140, 1006, 6604, 1007, 1012, 2057, 2031, 2048, 15419, 3489, 2213, 2808, 1010, 1523, 5285, 1012, 1015, 1524, 1998, 1523, 5285, 1012, 1016, 1524, 1010, 2104, 2256, 5583, 1998, 2031, 2062, 3628, 2000, 22889, 4710, 1013, 2058, 20041, 11139, 8236, 2000, 3477, 1999, 1996, 2925, 1012, 3585, 3178, 2003, 1037, 2402, 4772, 2013, 1996, 8088, 1998, 10507, 2015, 2132, 10189, 9905, 1010, 4717, 3976, 1012, 2738, 2084, 6911, 2075, 2000, 3965, 2047, 3314, 2006, 2151, 3671, 6134, 1010, 3976, 3849, 2000, 7438, 2169, 3277, 2004, 2049, 2219, 2569, 1010, 3132, 1011, 3179, 2622, 1998, 2069, 11204, 2047, 4933, 2043, 2002, 1521, 1055, 2204, 1998, 3201, 1012, 3585, 3178, 2003, 10468, 1996, 1062, 3170, 2005, 2214, 4641, 2040, 4299, 17260, 6876, 2145, 2069, 2234, 2041, 2320, 2296, 2176, 2086, 1012, 1996, 2034, 3277, 2001, 6267, 1999, 2418, 1998, 4208, 2006, 1037, 2843, 1997, 24789, 3976, 2071, 5607, 2007, 2105, 6734, 1010, 2073, 2002, 2085, 3268, 1012, 4364, 2066, 4172, 21299, 9488, 1010, 14569, 10184, 1010, 1998, 17127, 14718, 1010, 2035, 2464, 2083, 3976, 1521, 1055, 3565, 2485, 2039, 7339, 1998, 21972, 2006, 2152, 3737, 3259, 2503, 1037, 11281, 2417, 6081, 4524, 11239, 1012, 1996, 2117, 3277, 1010, 2029, 2057, 1521, 2128, 2522, 1011, 5155, 2007, 3976, 1010, 2003, 2746, 2041, 2101, 2023, 2095, 1998, 2097, 3579, 4498, 2006, 1996, 2028, 1998, 2069, 1010, 5965, 26033, 1012, 2009, 1521, 1055, 1037, 2126, 2000, 8439, 5965, 1521, 1055, 2166, 1998, 9120, 2129, 2116, 9252, 21882, 7088, 5289, 2015, 1998, 11080, 2100, 8146, 2002, 1521, 1055, 3266, 2000, 2272, 2083, 4142, 1012, 2065, 2017, 1521, 2128, 1999, 2047, 2259, 2006, 2238, 5504, 1010, 2272, 2283, 2007, 2149, 1998, 2672, 2131, 2115, 10007, 6029, 2772, 2011, 5965, 1006, 1002, 1019, 1037, 3769, 1007, 2030, 2028, 1997, 1996, 15419, 3489, 2213, 3095, 1006, 2489, 1007, 1012, 28685, 2003, 1037, 10947, 12174, 23848, 2011, 1996, 19245, 4901, 7109, 2013, 5135, 1012, 2009, 1521, 1055, 1037, 2978, 2062, 4208, 2006, 1996, 5541, 5919, 1997, 17260, 5855, 1998, 1996, 2111, 1999, 10080, 2040, 2052, 2172, 2738, 5607, 1037, 6302, 1997, 2019, 2840, 2100, 13730, 2030, 2831, 2055, 1996, 7603, 1997, 1037, 2053, 1011, 14037, 2084, 2729, 2055, 2040, 1521, 1055, 2725, 2023, 3204, 1521, 1055, 12631, 11602, 3367, 2192, 15118, 7577, 1012, 1037, 2843, 1997, 1996, 17260, 7760, 2024, 2881, 2000, 2298, 4658, 2000, 2119, 17260, 1998, 2512, 1011, 17260, 9501, 1010, 2066, 3924, 2008, 2377, 2007, 6087, 2006, 1996, 18815, 9844, 2039, 2007, 1996, 6087, 1997, 1996, 3962, 2027, 1521, 2128, 10080, 1012, 2027, 2036, 2123, 1521, 1056, 2202, 2477, 2205, 5667, 1010, 2061, 2045, 1521, 1055, 2070, 3835, 20160, 14423, 3816, 1999, 1998, 4569, 9580, 7171, 1012, 11409, 22084, 7087, 3258, 1010, 2040, 1521, 1055, 2517, 2005, 15419, 3489, 2213, 2077, 1010, 2001, 2956, 1999, 28685, 1520, 1055, 2034, 3277, 1010, 2061, 2023, 23848, 2036, 2987, 1521, 1056, 21573, 2993, 2000, 2074, 13076, 17260, 3068, 30108, 6302, 5620, 1012, 1996, 23368, 6942, 2643, 1010, 4080, 5297, 1010, 1998, 17151, 11741, 8088, 4080, 12420, 2318, 16721, 2015, 11834, 1037, 2261, 2086, 3283, 1010, 1998, 2027, 2404, 2041, 4100, 1011, 3180, 4180, 2119, 3784, 1998, 1999, 6267, 1062, 10586, 1012, 1523, 11834, 1524, 2003, 2109, 1999, 1996, 2827, 3168, 2000, 2812, 1523, 28543, 1524, 2030, 1523, 14636, 1010, 1524, 2061, 2065, 2017, 1521, 2128, 3110, 23592, 2017, 2071, 2360, 2023, 23848, 2003, 2066, 1037, 16721, 1997, 4485, 1010, 2021, 2009, 1521, 1055, 2428, 2025, 1012, 1996, 2640, 2003, 2428, 18378, 1998, 3167, 1010, 2004, 2065, 2048, 12908, 2020, 2627, 2075, 2362, 1037, 1062, 3170, 2011, 2192, 1998, 5059, 2035, 2105, 1996, 6645, 2007, 14231, 16387, 1012, 2017, 2036, 2123, 1521, 1056, 2156, 2172, 17260, 2865, 2108, 2081, 2011, 4013, 24789, 1010, 2061, 2009, 1521, 1055, 5875, 2000, 2156, 2129, 2619, 2040, 3544, 1999, 17260, 23848, 2015, 2370, 4372, 17084, 2015, 2054, 2028, 2064, 2298, 2066, 1012, 2045, 2024, 2048, 6267, 3314, 2041, 2061, 2521, 1010, 2021, 2037, 4037, 2038, 2035, 2037, 7636, 1998, 17950, 2915, 6302, 2838, 1012, 2065, 2017, 1521, 2128, 1999, 1996, 6888, 2005, 1037, 2422, 1010, 4569, 23848, 1010, 2023, 11834, 2003, 1996, 11834, 1012, 17260, 5730, 2078, 2003, 2702, 2335, 2054, 2017, 2052, 5987, 2013, 1037, 2932, 2318, 1999, 6316, 2135, 1998, 2085, 2448, 2041, 1997, 1037, 22766, 6613, 4545, 1012, 2009, 1521, 1055, 1037, 16432, 1997, 2264, 3023, 19116, 1998, 17638, 7516, 1010, 1998, 2348, 2009, 1521, 1055, 2956, 4364, 2066, 2003, 6806, 2094, 23701, 2099, 1998, 4980, 4241, 25667, 2006, 2049, 27768, 2304, 1998, 2317, 4472, 1010, 2009, 12237, 2995, 2000, 5266, 1996, 2190, 2334, 24789, 1998, 11080, 2100, 16125, 16437, 2015, 1999, 1996, 2167, 2264, 1012, 2348, 17260, 5730, 2078, 2038, 4961, 2144, 2230, 1010, 2000, 2383, 2753, 3314, 1010, 1037, 2440, 1011, 3091, 2678, 1010, 1998, 1037, 10818, 2007, 5887, 1010, 2009, 2196, 2439, 1996, 14894, 2008, 1521, 1055, 5793, 1999, 2049, 2200, 2034, 3104, 6302, 1997, 1037, 3124, 4451, 24330, 6834, 2125, 1996, 2327, 1997, 1037, 18097, 1012, 1045, 1521, 2310, 2657, 2008, 6647, 24547, 19440, 1010, 1996, 3124, 2369, 1996, 23848, 1010, 12237, 9422, 17901, 1012, 2065, 2008, 1521, 1055, 2995, 1010, 2002, 1521, 1055, 2028, 1997, 1996, 2087, 13318, 2962, 2869, 1998, 22365, 6178, 11216, 2041, 2045, 2651, 1012, 2746, 2041, 1997, 5548, 1010, 2710, 1010, 2293, 3504, 2066, 2009, 4122, 2000, 14590, 7559, 2102, 2070, 2367, 2943, 2046, 1996, 3080, 3010, 17260, 2865, 14927, 1010, 2029, 2024, 3262, 2419, 2011, 24829, 2278, 1012, 1045, 4033, 1521, 1056, 2464, 2023, 1999, 2711, 2664, 1010, 2021, 2241, 2006, 1996, 2048, 6140, 3314, 9749, 3784, 1010, 2009, 2038, 1037, 2062, 4438, 4487, 2100, 2514, 2008, 3475, 1521, 1056, 5191, 2055, 6297, 5403, 23177, 2296, 2309, 2773, 2138, 1010, 2092, 1010, 2009, 1521, 1055, 17260, 21172, 1010, 2061, 3844, 2039, 1012, 2027, 1521, 2128, 2036, 2330, 2000, 23781, 2007, 11630, 1998, 2437, 6057, 11867, 21511, 14997, 1010, 2061, 2023, 2028, 5683, 4840, 2130, 2065, 2009, 1521, 1055, 2025, 2467, 6669, 12853, 1012, 3277, 2048, 2038, 1037, 4766, 4357, 2007, 1996, 8088, 4575, 20277, 1010, 10763, 7122, 2013, 6498, 5954, 1010, 1998, 1037, 6742, 5009, 2006, 1523, 2129, 2000, 2022, 2019, 22052, 2012, 1996, 4487, 2100, 3962, 1012, 1524, 4606, 2027, 4872, 2000, 2695, 1523, 12873, 4933, 1524, 2296, 2154, 2006, 16021, 23091, 1998, 5587, 1523, 11867, 14659, 2100, 4180, 3784, 1012, 1524, 2017, 2763, 2525, 2113, 1997, 4462, 1010, 2029, 2001, 2318, 1999, 2230, 2011, 2414, 1011, 2241, 6674, 2888, 5465, 3877, 1012, 1996, 2111, 2058, 2045, 2031, 2042, 13950, 2075, 2037, 4632, 2229, 2000, 2713, 2019, 3277, 2296, 2093, 2706, 2005, 2471, 1037, 5476, 1010, 2029, 5683, 2062, 24439, 2084, 3352, 1037, 2504, 2274, 15942, 2078, 1010, 2030, 2130, 10397, 2000, 3477, 2026, 3526, 3042, 3021, 2006, 2051, 1012, 5465, 3877, 1521, 1055, 2801, 2369, 1996, 6302, 1011, 3082, 23848, 2003, 2008, 17260, 7760, 2024, 4011, 2000, 2022, 2464, 1999, 6140, 2138, 2070, 11305, 2003, 2439, 2043, 2017, 1521, 2128, 29156, 2012, 27725, 2006, 1037, 3898, 1012, 1996, 3262, 2304, 1998, 2317, 7760, 2785, 1997, 2486, 2017, 2000, 4030, 2091, 1998, 9120, 2035, 1996, 4751, 2043, 2017, 1521, 2128, 18497, 2083, 2019, 3277, 1010, 1998, 2027, 1521, 2128, 2036, 2019, 5793, 4906, 2005, 1996, 2171, 4462, 1012, 2023, 2028, 2003, 3819, 2005, 4760, 2125, 2115, 12138, 2217, 2030, 2012, 2560, 13359, 2115, 3278, 2060, 2008, 17260, 2865, 3475, 1521, 1056, 2035, 1523, 7490, 10243, 1524, 1998, 15967, 2521, 2102, 13198, 1012, 2241, 2041, 1997, 3577, 1010, 2022, 17260, 21172, 7085, 2048, 3314, 2169, 2095, 1998, 2003, 2800, 2005, 2489, 2012, 17260, 7340, 2408, 2885, 1006, 2004, 2092, 2004, 2005, 1066, 1002, 1019, 3784, 1007, 1012, 2027, 1521, 2310, 6267, 2176, 3314, 2061, 2521, 1998, 3749, 3617, 19236, 2015, 1999, 2553, 2017, 2215, 2000, 2131, 1037, 2210, 5510, 2077, 16873, 2000, 1996, 2878, 2518, 1012, 2045, 1521, 1055, 1037, 2613, 3579, 2006, 17453, 24820, 1010, 10124, 2923, 9621, 2015, 2008, 12944, 2025, 2069, 1996, 12225, 2021, 1996, 7516, 1998, 17008, 1521, 21386, 2015, 2205, 1012, 2228, 2152, 12618, 2860, 1010, 4438, 3577, 2062, 2061, 2084, 2283, 9532, 3347, 5666, 1012, 2467, 1037, 12208, 2000, 2156, 2647, 17260, 5523, 2635, 2440, 5056, 1997, 2037, 3376, 7516, 1006, 1998, 1999, 1996, 2832, 2785, 1997, 4485, 3436, 2006, 19116, 2100, 2137, 7516, 1007, 1012, 5396, 2003, 1037, 5792, 2090, 2048, 4364, 1006, 2097, 10147, 25465, 7245, 1998, 8963, 28194, 23093, 17922, 2243, 1997, 2293, 1007, 2040, 2109, 2000, 1998, 2145, 2079, 2448, 2060, 17260, 23848, 2015, 1999, 2710, 1012, 2009, 1521, 1055, 2241, 2041, 1997, 4361, 2021, 4472, 5019, 1998, 3441, 2013, 2035, 2058, 1996, 2088, 1010, 2013, 18111, 5538, 2534, 17260, 9389, 2015, 1010, 2000, 2167, 4759, 15014, 1010, 2000, 17260, 21172, 1521, 1055, 2763, 2087, 2104, 1996, 7217, 2152, 2203, 4827, 5859, 1012, 2023, 23848, 9326, 1037, 4666, 2090, 3239, 1011, 20095, 9621, 2015, 1998, 10017, 2021, 15514, 8040, 3089, 11362, 2015, 1010, 2029, 2362, 3492, 2172, 19566, 1996, 3110, 1997, 5559, 1037, 17260, 6277, 1012, 5525, 2151, 2932, 2008, 2038, 3419, 10647, 9422, 2019, 8216, 4101, 2006, 1996, 3104, 2003, 1037, 2663, 2005, 2149, 1010, 4606, 2027, 3444, 7760, 2013, 15419, 3489, 2213, 2767, 1998, 5285, 1012, 1016, 12130, 1010, 6097, 21146, 7512, 1012, 2296, 2154, 1010, 16485, 4025, 2000, 2022, 2893, 1037, 2210, 2978, 3553, 2000, 21949, 17260, 21172, 1010, 1998, 5396, 5791, 16605, 2000, 2008, 1012, 2043, 4080, 12420, 3475, 1521, 1056, 2551, 2006, 16721, 2015, 11834, 1999, 2662, 1010, 2002, 1521, 1055, 1999, 2660, 27987, 2075, 2041, 1996, 2062, 7196, 1011, 3110, 11865, 2243, 3630, 8988, 1012, 11865, 2243, 3630, 8988, 4447, 2000, 2022, 2827, 17260, 21172, 1521, 1055, 1523, 9200, 2210, 2567, 1010, 1524, 1998, 2008, 2074, 2055, 20571, 2009, 2039, 1012, 2027, 10350, 26202, 4569, 2012, 1996, 17260, 3068, 1998, 17260, 21172, 1999, 2236, 1010, 2164, 5128, 1037, 21495, 2604, 2121, 2006, 1996, 3104, 1998, 2770, 14997, 2066, 1523, 1996, 5948, 27571, 2078, 1524, 1012, 2027, 2036, 3621, 2689, 2037, 3104, 15489, 2006, 2296, 3277, 1010, 2029, 7906, 2039, 1996, 2192, 21565, 1010, 20274, 6991, 1998, 5683, 1037, 2978, 2066, 1037, 5466, 5963, 2000, 1996, 2420, 2043, 2350, 17260, 23848, 2015, 2052, 6752, 2105, 2007, 2037, 4472, 2062, 1012, 1045, 2064, 1521, 1056, 3984, 2054, 1523, 11865, 2243, 3630, 8988, 1524, 2965, 1010, 2021, 1045, 2064, 2069, 3984, 2008, 2065, 4080, 2412, 18989, 2178, 1062, 3170, 1010, 2049, 2171, 2097, 2022, 2019, 2827, 21435, 2061, 18691, 2069, 21652, 2015, 2064, 4013, 3630, 17457, 2009, 1012, 2489, 2003, 1037, 2414, 1011, 2241, 2932, 2318, 2011, 2097, 25546, 1010, 4300, 4315, 23144, 1010, 1998, 3520, 9321, 2043, 2027, 2020, 2551, 2005, 2332, 8091, 2932, 1998, 1996, 4772, 1521, 1055, 3954, 1010, 4713, 2865, 1010, 2787, 2000, 4139, 1996, 13354, 2006, 6140, 3136, 1012, 2085, 1010, 2048, 2086, 1998, 2324, 3314, 2101, 1010, 2489 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4283, 2005, 2115, 3037, 1999, 19330, 17007, 16729, 6155, 2243, 999, 1045, 1521, 1049, 2747, 2551, 2006, 1037, 6851, 2678, 2000, 2131, 2017, 1996, 6745, 2592, 2006, 2023, 1529, 2021, 1999, 1996, 12507, 1529, 4638, 5833, 1996, 2190, 11562, 11263, 10087, 4877, 4107, 1010, 6666, 1010, 1998, 2838, 2917, 1012, 1999, 2023, 2154, 1998, 2287, 1010, 1996, 2126, 2115, 5502, 3216, 3784, 2071, 2191, 2030, 4053, 2017, 1012, 2074, 2129, 2079, 2087, 2578, 2747, 2031, 2019, 4598, 3784, 1029, 1996, 2755, 1997, 1996, 3043, 2003, 1010, 9690, 1010, 2008, 4773, 4573, 2031, 2941, 6022, 7964, 2058, 1996, 2627, 2086, 1516, 1998, 1996, 5461, 1997, 2214, 2024, 2053, 2062, 6742, 2005, 3824, 2449, 1012, 1999, 1996, 2627, 1010, 2009, 2052, 5121, 2022, 11706, 2000, 2031, 2019, 3733, 4274, 2609, 2007, 1037, 2188, 3931, 1010, 2578, 1010, 20874, 1010, 2055, 2149, 1010, 2004, 2092, 2004, 3967, 5530, 1012, 1037, 4022, 7325, 2052, 5121, 2087, 3497, 2000, 2115, 2609, 1010, 17186, 2105, 1010, 2175, 2000, 1996, 2367, 4773, 5530, 1998, 2036, 2202, 1999, 4180, 2004, 2027, 3531, 1012, 6600, 1010, 2065, 2017, 2024, 1037, 2194, 19920, 2151, 2828, 1997, 5356, 2006, 5821, 1010, 2017, 2215, 2000, 15176, 3599, 2054, 6304, 2024, 4083, 2055, 2006, 2115, 2609, 1010, 4493, 9144, 2012, 1996, 2157, 2051, 1010, 1998, 2191, 1996, 2087, 1997, 1996, 3318, 2017, 2191, 2013, 2169, 2711, 1012, 3599, 2129, 2515, 2028, 14570, 2023, 1029, 2478, 4341, 25102, 2015, 1012, 11562, 11263, 10087, 4877, 2003, 1996, 25551, 2965, 2437, 2152, 16401, 4341, 2004, 2092, 2004, 6475, 1998, 5821, 25102, 2015, 1012, 2009, 2003, 2019, 4310, 5080, 2550, 3391, 2000, 2735, 17464, 7846, 2157, 2046, 6304, 1012, 2009, 5621, 2003, 2019, 2035, 1011, 1999, 1011, 2028, 5724, 2000, 3443, 4341, 25102, 2015, 1998, 2036, 2950, 4899, 4773, 5530, 1010, 1041, 1011, 5653, 27574, 1010, 7909, 1010, 4773, 3981, 2869, 1010, 5779, 4573, 1010, 3568, 1037, 2843, 2062, 1012, 2025, 11341, 2008, 2009, 2038, 5901, 2203, 2039, 2108, 1037, 5440, 5080, 2005, 5821, 8519, 1012, 2917, 2003, 2026, 7721, 11562, 11263, 10087, 4877, 3319, 1010, 5398, 1997, 12287, 12332, 1010, 20874, 1010, 4013, 2015, 1013, 9530, 2015, 1010, 2004, 2092, 2004, 23347, 2114, 10159, 1012, 19330, 17007, 16729, 6155, 2243, 1024, 2174, 2034, 1010, 2054, 3599, 2003, 1037, 4341, 3149, 1029, 4341, 25102, 2015, 1006, 5678, 2170, 5821, 25102, 2015, 1007, 2024, 4800, 1011, 3357, 3934, 2008, 2024, 2081, 2000, 20102, 2825, 5260, 3081, 2115, 4341, 7709, 1010, 1998, 2735, 2068, 2157, 2046, 6304, 1012, 3861, 1037, 2613, 1011, 2166, 3149, 1012, 2012, 1996, 2327, 1010, 2017, 10364, 6381, 1999, 1010, 2029, 6537, 2000, 2028, 13671, 3295, 1012, 1999, 4341, 1010, 1037, 12435, 6686, 3138, 2173, 1012, 2006, 2327, 1010, 5731, 2131, 2000, 2115, 4037, 1010, 2021, 2025, 2035, 2040, 4607, 2191, 2009, 2013, 1996, 2060, 2203, 2004, 17394, 1012, 7167, 1997, 2477, 2342, 2000, 5258, 2013, 1996, 2617, 1037, 10367, 8039, 2115, 3149, 1010, 2000, 1996, 2617, 2027, 2202, 2895, 1998, 6464, 3926, 2019, 7654, 1012, 2011, 15011, 2091, 1996, 7396, 1521, 1055, 4990, 2046, 3760, 4506, 1010, 2017, 2064, 2022, 4469, 6635, 2055, 2129, 1998, 2043, 2017, 2556, 1037, 3066, 2000, 2115, 4378, 1012, 1996, 6851, 2895, 1999, 1037, 3149, 2071, 2298, 2242, 2066, 2023, 1024, 1011, 4895, 26426, 7810, 2599, 3310, 2000, 7921, 4773, 3931, 1011, 3931, 8539, 1996, 2200, 2034, 3066, 1006, 2242, 6135, 2489, 2000, 8145, 2019, 10373, 1007, 1012, 1011, 2004, 2574, 2004, 10373, 2003, 14830, 1010, 3078, 3066, 2003, 8219, 1012, 1011, 2599, 4515, 2039, 2108, 1037, 7079, 8013, 1012, 1011, 2062, 1041, 1011, 5653, 8290, 17731, 7396, 4276, 1012, 1011, 2582, 5386, 2311, 1011, 15192, 4341, 1012, 11562, 11263, 10087, 4877, 5678, 2038, 1037, 8425, 2008, 7607, 2023, 1999, 1037, 19647, 4118, 1024, 1012, 2074, 2054, 2003, 11562, 11263, 10087, 4877, 1029, 2004, 4197, 2041, 3041, 1010, 11562, 11263, 10087, 4877, 2003, 1996, 2087, 4621, 4341, 25102, 4007, 2565, 2105, 2651, 1012, 1996, 2194, 3084, 1996, 2844, 2553, 1997, 5378, 2017, 2673, 2017, 2342, 2000, 3006, 1010, 5271, 1010, 2004, 2092, 2004, 4425, 2115, 5167, 3784, 1516, 2004, 2092, 2004, 2027, 5791, 3073, 1012, 1037, 7511, 25102, 2097, 5121, 2191, 2224, 1997, 2019, 23569, 1011, 1999, 4773, 3931, 1006, 2000, 8587, 10373, 11596, 1007, 1010, 2019, 10373, 8285, 1011, 6869, 2121, 1006, 2000, 4604, 1041, 1011, 5653, 2015, 2000, 2115, 7846, 1007, 1010, 4606, 2019, 2794, 4341, 3931, 2007, 2070, 4773, 4180, 1998, 2036, 2019, 2344, 2828, 1010, 4298, 2628, 2011, 3176, 4773, 4180, 1010, 1037, 5779, 2609, 1010, 1998, 2061, 2006, 1012, 3839, 1010, 2017, 2052, 2031, 2000, 2224, 2367, 7248, 1998, 5733, 2000, 3143, 2296, 2028, 1997, 2122, 8518, 2107, 2004, 1024, 1011, 3443, 1037, 4773, 2609, 1011, 7523, 9936, 1011, 2424, 2019, 8285, 6072, 26029, 4063, 5576, 1011, 2424, 15002, 4037, 4007, 4646, 1011, 7523, 3975, 1011, 5604, 4007, 2565, 1529, 4385, 2021, 11562, 11263, 10087, 4877, 3138, 2729, 1997, 2673, 2007, 2037, 2291, 1012, 2017, 2025, 2074, 3828, 1037, 10228, 1997, 2769, 2011, 2025, 2383, 2000, 2131, 2367, 3688, 1013, 2578, 1010, 2174, 2017, 5678, 2994, 3154, 1997, 1996, 4087, 6752, 1997, 2383, 2000, 2275, 2296, 2210, 2518, 2039, 1010, 1998, 2036, 2064, 3579, 2006, 2054, 1521, 1055, 2941, 6827, 1516, 3652, 2115, 5502, 1012, 11562, 11263, 10087, 4877, 6067, 1037, 2489, 2403, 1011, 2154, 3979, 1010, 2061, 2017, 2131, 2000, 7523, 1996, 6994, 1998, 5621, 2156, 2065, 2009, 1521, 1055, 2157, 2005, 2115, 5502, 1012, 1008, 2855, 3443, 5530, 16911, 9621, 2015, 1998, 2036, 5919, 1008, 1012, 3188, 2000, 2893, 2036, 2172, 1010, 2009, 1521, 1055, 2590, 2000, 22346, 2008, 1037, 3149, 2003, 1037, 3074, 1997, 4773, 5530, 2404, 2362, 1999, 1037, 10174, 2344, 1010, 2007, 1996, 7863, 1997, 16401, 2004, 2195, 5260, 2046, 10390, 1012, 1998, 1037, 3931, 2003, 6414, 1037, 3074, 1997, 2536, 3787, 2764, 2000, 6855, 2619, 2000, 2202, 1037, 3563, 2895, 1012, 11562, 11263, 10087, 4877, 3594, 2130, 2062, 4102, 2000, 2753, 2536, 5919, 2000, 2393, 2017, 9570, 1996, 2190, 3931, 1012, 1996, 3559, 2003, 17077, 3733, 2000, 2224, 2004, 2092, 2004, 2035, 2017, 2031, 2000, 2079, 2003, 8011, 2004, 2092, 2004, 4530, 2536, 6177, 2006, 2000, 1996, 3931, 1010, 2004, 2092, 2004, 12200, 1996, 3793, 1998, 2036, 3311, 2000, 4906, 2115, 3791, 1516, 2053, 16861, 4813, 3223, 999, 11562, 11263, 10087, 4877, 10655, 3084, 2115, 2166, 6082, 2011, 17731, 2017, 2007, 1037, 10228, 1997, 6135, 2489, 2640, 23561, 2015, 1012, 1999, 2755, 1010, 11562, 11263, 10087, 4877, 3640, 2058, 4261, 11901, 1997, 4773, 5530, 2005, 2017, 2000, 12586, 2004, 2092, 2004, 2674, 2007, 1012, 2122, 2024, 5591, 2091, 2157, 2046, 1996, 4748, 22658, 2000, 2184, 26739, 1024, 1011, 3653, 23836, 5530, 1024, 5002, 4773, 3931, 1010, 2460, 3720, 4773, 3931, 1010, 3653, 23836, 4773, 3931, 1010, 11562, 16340, 3931, 1011, 23569, 2378, 5530, 1024, 11025, 3931, 1010, 7901, 11025, 4773, 3931, 1010, 2599, 16853, 1010, 19430, 3642, 1011, 4067, 2017, 5530, 1024, 4067, 2017, 4773, 3931, 1010, 3066, 2813, 3302, 1010, 2958, 3931, 1010, 3745, 4773, 3931, 1011, 4341, 5530, 1024, 2678, 4341, 4773, 3931, 1010, 4341, 3661, 3931, 1010, 8875, 8970, 3931, 1011, 27178, 2080, 5530, 1024, 11139, 5349, 3931, 1010, 12482, 5349, 4773, 3931, 1011, 2344, 3596, 1024, 2048, 3357, 2344, 3931, 1010, 3151, 2344, 3931, 1010, 2678, 4341, 3661, 2344, 4773, 3931, 1010, 4341, 3661, 2344, 3931, 1010, 8875, 8970, 2344, 4773, 3931, 1011, 4773, 3981, 2099, 5530, 1024, 4773, 3981, 2099, 10316, 4773, 3931, 1010, 4773, 3981, 2099, 13964, 3931, 1010, 4773, 3981, 2099, 3743, 2282, 1010, 4773, 3981, 2099, 15712, 2181, 1011, 5779, 5530, 1024, 3229, 4773, 3931, 1010, 2266, 1521, 1055, 2181, 1011, 5482, 5530, 1024, 5114, 3229, 2000, 3931, 1010, 5482, 2181, 1011, 2536, 2060, 5530, 1024, 4646, 4773, 3931, 1010, 3198, 4773, 3931, 1010, 4497, 2392, 1010, 4773, 3931, 1010, 5394, 3931, 1010, 6865, 5833, 4773, 3931, 1010, 2444, 10467, 4773, 3931, 1996, 3653, 1011, 2328, 23561, 2015, 2024, 3294, 26404, 1010, 2004, 2092, 2004, 2024, 2074, 2054, 2087, 5198, 2191, 2224, 1997, 1012, 2017, 2031, 1996, 3754, 2000, 7276, 1037, 23561, 1010, 10086, 2030, 2689, 1996, 6177, 2007, 2115, 2219, 1010, 1998, 2115, 4435, 1011, 2047, 4773, 3931, 20776, 2000, 2175, 1012, 2017, 2071, 5678, 4957, 2151, 3149, 2017, 3443, 2007, 2115, 3167, 10373, 6475, 1998, 5821, 2326, 1006, 2065, 2017, 2079, 2025, 16462, 1996, 2028, 5031, 1997, 1999, 11562, 11263, 10087, 4877, 1007, 1010, 2004, 2092, 2004, 16462, 1996, 11562, 11263, 10087, 4877, 3833, 1999, 1999, 6767, 23553, 2291, 1012, 2023, 2003, 2036, 1037, 2307, 2051, 2000, 2391, 2041, 2008, 11562, 11263, 10087, 4877, 4107, 2200, 14044, 1998, 3305, 3085, 2731, 6876, 2043, 2017, 3322, 3693, 1012, 1045, 2200, 16755, 13417, 2216, 2144, 2027, 5901, 3499, 2017, 2000, 2191, 2224, 1997, 1996, 6994, 2012, 2049, 2440, 10673, 1010, 1998, 2036, 2017, 1521, 2222, 2031, 4469, 4569, 2652, 2105, 1012, 19330, 17007, 16729, 6155, 2243, 1008, 4503, 2028, 1011, 11562, 15002, 4573, 1008, 1012, 2028, 1997, 1996, 2087, 4621, 4972, 2007, 11562, 11263, 10087, 4877, 2003, 1996, 10673, 2000, 2855, 3443, 5779, 11744, 1998, 2036, 4425, 3430, 2000, 2115, 4378, 1999, 2028, 2181, 1012, 2115, 5779, 4037, 2097, 2272, 3143, 2007, 10316, 5530, 1010, 5779, 23661, 5530, 1010, 1998, 3430, 4773, 5530, 2029, 2017, 2064, 4089, 5851, 2030, 26027, 5438, 2000, 2115, 10390, 2429, 2000, 17402, 2027, 2081, 1999, 2115, 3149, 1012, 11562, 11263, 10087, 4877, 5779, 11744, 9585, 2017, 2000, 4604, 2041, 1041, 1011, 5653, 2015, 1010, 2855, 5047, 2115, 1041, 1011, 5653, 2015, 1010, 1998, 4503, 1037, 5101, 2035, 2096, 2893, 9436, 1997, 1996, 6911, 2008, 1521, 1055, 3141, 2000, 2060, 7047, 2107, 2004, 10556, 3900, 5638, 1010, 2030, 2773, 20110, 7248, 1012, 2009, 1521, 1055, 2941, 14044, 2000, 2025, 2031, 2000, 4965, 1037, 2367, 4007, 4646, 2030, 13354, 2378, 2000, 3965, 5779, 11744, 1012, 1008, 10373, 27574, 1004, 2895, 16530, 2015, 1008, 1012, 2007, 2296, 3149, 3310, 10373, 4638, 9863, 2311, 6695, 1012, 11562, 11263, 10087, 4877, 6753, 10373, 8346, 2007, 2035, 1996, 2350, 10373, 19309, 3001, 2107, 2004, 1024, 1011, 3161, 3049, 1011, 5377, 3967, 1011, 2131, 3433, 1011, 5506, 20705, 1011, 3006, 5394, 1011, 1998, 2500, 9690, 1010, 11562, 11263, 10087, 4877, 10655, 2038, 2037, 2200, 2219, 4621, 19309, 5080, 2170, 2895, 16530, 2015, 1012, 2348, 2017, 2071, 4503, 1010, 23839, 1010, 2004, 2092, 2004, 4425, 1041, 1011, 5653, 2015, 2074, 2066, 2060, 1041, 1011, 5653, 6475, 1998, 5821, 4132, 1010, 2895, 16530, 2015, 2003, 1037, 2843, 2062, 1012, 1045, 2066, 2895, 16530, 2015, 2144, 2009, 2025, 2074, 20736, 2115, 10373, 5821, 2664, 11981, 5821, 1998, 2036, 22434, 5821, 4007, 3454, 2205, 1012, 2023, 3138, 19309, 2000, 2019, 2972, 4435, 1011, 2047, 2504, 1998, 8387, 2017, 7532, 1996, 2190, 4471, 2000, 2115, 6304, 1010, 3599, 2043, 2027, 5478, 2009, 1012, 1037, 2678, 12528, 4955, 1997, 2895, 16530, 2015, 2097, 5121, 2022, 3253, 2488, 3205, 2917, 1012, 1008, 1999, 6767, 23553, 2004, 2092, 2004, 7909, 27574, 1008, 1012, 1037, 9487, 3444, 2306, 11562, 11263, 10087, 4877, 2003, 1996, 10673, 2000, 27598, 2296, 2028, 1997, 1996, 1999, 6767, 23553, 4751, 2013, 2115, 6304, 10785, 2115, 4341, 3931, 1012, 4855, 2003, 2081, 2061, 2172, 2625, 8552, 2043, 10390, 2079, 2025, 2031, 2000, 2681, 2115, 4037, 1012, 11562, 11263, 10087, 4877, 12374, 2007, 3278, 24565, 3672, 11909, 2015, 2107, 2004, 3477, 12952, 1010, 18247, 1010, 1998, 1999, 20523, 6499, 6199, 1010, 2426, 2500, 1012, 2096, 2017, 2071, 4088, 2007, 1996, 2489, 2403, 1011, 2154, 3979, 1010, 2045, 2024, 2093, 2536, 6165, 15955, 2007, 11562, 11263, 10087, 4877, 1024, 1011, 1002, 5989, 1013, 3204, 1012, 1011, 1002, 27502, 1013, 3204, 1012, 1011, 1002, 5585, 2581, 9625, 19575, 2933, 1006, 4081, 1007, 1012, 1045, 1521, 2222, 2175, 2046, 6987, 2005, 2169, 1997, 2122, 9942, 2917, 1012, 1015, 1012, 11562, 11263, 10087, 4877, 3115, 2933, 1516, 1002, 5989, 1013, 3204, 1012, 1996, 2691, 2933, 3774, 1997, 2035, 1996, 12332, 2017, 2052, 2342, 2306, 11562, 11263, 10087, 4877, 1010, 2664, 2007, 14679, 2006, 1996, 3528, 1997, 25102, 2015, 1006, 2322, 1007, 1998, 2036, 5530, 1006, 2531, 1007, 2017, 2064, 2031, 1999, 2115, 4070, 1010, 2247, 2007, 1996, 3815, 1997, 5731, 1006, 2322, 2243, 1007, 2071, 3422, 2115, 4773, 5530, 2566, 3204, 1012, 2017, 10655, 2079, 2025, 2131, 9525, 15380, 2107, 2004, 11562, 11263, 10087, 4877, 2200, 2219, 10373, 6475, 1998, 5821, 1998, 5482, 9651, 5733, 1012, 1016, 1012, 11562, 11263, 10087, 4877, 3802, 10929, 7621, 1516, 1002, 27502, 1013, 3204, 1012, 2023, 2933, 2950, 2035, 1996, 10118, 1998, 13300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4404, 4735, 3218, 3742, 1012, 4735, 3218, 4388, 14154, 3549, 3385, 1010, 2470, 2934, 1997, 2375, 1010, 12291, 2118, 2375, 2082, 4300, 1038, 1012, 2681, 3619, 1010, 2934, 1997, 2375, 1010, 2530, 2047, 2563, 2118, 2082, 1997, 2375, 1998, 2372, 1997, 1996, 4404, 4735, 2375, 3347, 4343, 3179, 9385, 1075, 2262, 2011, 4388, 14154, 3549, 3385, 3822, 3179, 9385, 1075, 2494, 2011, 2047, 2375, 4640, 3416, 3179, 9385, 1075, 2687, 2011, 16105, 2015, 29656, 2375, 4640, 3083, 3179, 1006, 2405, 2004, 4404, 4735, 3639, 1010, 2011, 4388, 1040, 1012, 14154, 3549, 3385, 1007, 1010, 1075, 2901, 2011, 12136, 5172, 3423, 8544, 3742, 1012, 4735, 3218, 2338, 18443, 2000, 1996, 2959, 3179, 2023, 2959, 3179, 6017, 1037, 2047, 3690, 1999, 1996, 2166, 1997, 4404, 4735, 3218, 1012, 8420, 1999, 2901, 2004, 1037, 20990, 2338, 1010, 1998, 5719, 2083, 1996, 2206, 2048, 6572, 1010, 4404, 4735, 3218, 2001, 2800, 2069, 2000, 17073, 1998, 5309, 2869, 1012, 2021, 1996, 3800, 1997, 1996, 2622, 2001, 2467, 2000, 4487, 11393, 19269, 3423, 3716, 2000, 9559, 1010, 2375, 2493, 1010, 1998, 2500, 2920, 1999, 1996, 4735, 3425, 2291, 1010, 2164, 16362, 1516, 1998, 1996, 3293, 23934, 2015, 1997, 2338, 4640, 9352, 20010, 22648, 3064, 2013, 2023, 3125, 1012, 2007, 2023, 3179, 1010, 2057, 2202, 1037, 2146, 3357, 2875, 2437, 1996, 2338, 2062, 7801, 2000, 2256, 3832, 8141, 1024, 4404, 4735, 3218, 2003, 2085, 2800, 2000, 2035, 2040, 2064, 3229, 1996, 4274, 1010, 2302, 3715, 1012, 2035, 1997, 2049, 16884, 1516, 3205, 2182, 1011, 1011, 2031, 6955, 2037, 2051, 1998, 11532, 1010, 1999, 2326, 2000, 1996, 9518, 1998, 2000, 1996, 3426, 1997, 3425, 1999, 1996, 4735, 5434, 1012, 2057, 4067, 2068, 2005, 2037, 4013, 4305, 11411, 2271, 2147, 1999, 1996, 12930, 1997, 1996, 3679, 7670, 1997, 3218, 2030, 4252, 1025, 2023, 2338, 1010, 1997, 2607, 1010, 2052, 2025, 4839, 2302, 2068, 1012, 2057, 2024, 2036, 8794, 2005, 1996, 2490, 1997, 2256, 5534, 1010, 12291, 2118, 2375, 2082, 1998, 2530, 2047, 2563, 2118, 2082, 1997, 2375, 1025, 2000, 1996, 2490, 3095, 2040, 5201, 2061, 2172, 2000, 1996, 2537, 1997, 2023, 2338, 1010, 2164, 2508, 12712, 1010, 17508, 23798, 1010, 2508, 11764, 2146, 3523, 1010, 20495, 12849, 8159, 1010, 10972, 26821, 2100, 1010, 1998, 5553, 3170, 2474, 6904, 14194, 2072, 1025, 1998, 2000, 1996, 12824, 3238, 4073, 1997, 2256, 2470, 16838, 2198, 8379, 1010, 9393, 8214, 1010, 9796, 4830, 19042, 1010, 7240, 9413, 9834, 1010, 6874, 4679, 1010, 19218, 14163, 4571, 9215, 1010, 11496, 1051, 1005, 6606, 1010, 13955, 18454, 12624, 4575, 1010, 19447, 13672, 1010, 5487, 1055, 16739, 15449, 1010, 1998, 9477, 1059, 22571, 5686, 2243, 1012, 18443, 2000, 1996, 2117, 3179, 1006, 4404, 4735, 3218, 1010, 2687, 1007, 2471, 1037, 5476, 2038, 2979, 2144, 1996, 2434, 4772, 1997, 4404, 4735, 3639, 1517, 1037, 5476, 1997, 2307, 2689, 1998, 14477, 16778, 6895, 17585, 2094, 7860, 2005, 9559, 12560, 1999, 1996, 4735, 3425, 2291, 1012, 2012, 1996, 2976, 2504, 1010, 1996, 4277, 2085, 8677, 5292, 4783, 3022, 13931, 1010, 7521, 1010, 2610, 7709, 1010, 1998, 4319, 19591, 2024, 6802, 12334, 2000, 2037, 14405, 26005, 28986, 1999, 1996, 3865, 1012, 1999, 4404, 2076, 2023, 2558, 1010, 2057, 2439, 2256, 4693, 1011, 2214, 2139, 24576, 2457, 2291, 1998, 4227, 1037, 2047, 3642, 1997, 2658, 5368, 1025, 1998, 1996, 6372, 12381, 2128, 13088, 12184, 1996, 4277, 11243, 2000, 15358, 1010, 25406, 1010, 17393, 1010, 1998, 23280, 1012, 1006, 10915, 23280, 11594, 1998, 2350, 3431, 2000, 1996, 3513, 1997, 4735, 7709, 2024, 5710, 2006, 1996, 9154, 1012, 1007, 2107, 9530, 3366, 15417, 4818, 8973, 2071, 2025, 2074, 2135, 2022, 7049, 2000, 1037, 4979, 2112, 1025, 2009, 2001, 4415, 2051, 2000, 2202, 4518, 1997, 2122, 2824, 1998, 3965, 1037, 12590, 8001, 3179, 1997, 1996, 2338, 1012, 2054, 2017, 2085, 2031, 1999, 2115, 2398, 2003, 1999, 2070, 17475, 1037, 2047, 2338, 1010, 5266, 2172, 2047, 2598, 1010, 1998, 2550, 2023, 2051, 2011, 1037, 2136, 1997, 2093, 24873, 23194, 5668, 2007, 2119, 12478, 4818, 1998, 3639, 3325, 1012, 2009, 2036, 6468, 1037, 2047, 2516, 1517, 4404, 4735, 3218, 1517, 2006, 1996, 10652, 2008, 2035, 6818, 1999, 1996, 4735, 2832, 2024, 8053, 4986, 2007, 11302, 2075, 1996, 6959, 1997, 1996, 2916, 1998, 8853, 2057, 6235, 2182, 2378, 1012, 2023, 2117, 3179, 2038, 19727, 2013, 1996, 20062, 1998, 2524, 2147, 1997, 1037, 2307, 2116, 2111, 2040, 5201, 2000, 1996, 2093, 7783, 25654, 1998, 2000, 2023, 2047, 3179, 1012, 1999, 2804, 2000, 1996, 6048, 1998, 2000, 2216, 4453, 1999, 1996, 18443, 2000, 1996, 2034, 3179, 1010, 2116, 1997, 3183, 2031, 2506, 2000, 5589, 1999, 2023, 2622, 1010, 2057, 4299, 2000, 13399, 1996, 5857, 1997, 2585, 23680, 8551, 1010, 11496, 3931, 1010, 2508, 1054, 1012, 17852, 10242, 1010, 7354, 17754, 7305, 1010, 1998, 2726, 1037, 1012, 7305, 1012, 2057, 2036, 4067, 2256, 2470, 16838, 2058, 1996, 2627, 5476, 2005, 2037, 2147, 2006, 12448, 2075, 1996, 2434, 2338, 1010, 2164, 4463, 28303, 1010, 2984, 13970, 2271, 20483, 2022, 16084, 1010, 4901, 1043, 1012, 8902, 17960, 5686, 1010, 10799, 8902, 4381, 1010, 25598, 29454, 2989, 3511, 1010, 5696, 2852, 3981, 2078, 1010, 8437, 26646, 1010, 17214, 2906, 10346, 11705, 8602, 1010, 17508, 10346, 10085, 23584, 1010, 7059, 8731, 1010, 10941, 7280, 1010, 8657, 1041, 1012, 19226, 10278, 2080, 1010, 5545, 1054, 1012, 22789, 1010, 6874, 13849, 1010, 2745, 1040, 1012, 28213, 1010, 9036, 12584, 1010, 27829, 13380, 2033, 22960, 29337, 2078, 1010, 9587, 20684, 2850, 14163, 8322, 23778, 1010, 12049, 1059, 1012, 2047, 23630, 2243, 1010, 17551, 2566, 27966, 5937, 1010, 23729, 4831, 1010, 7673, 1037, 1012, 25298, 1010, 13226, 5481, 1010, 5623, 1046, 1012, 2016, 2232, 1010, 6615, 1058, 1012, 9092, 10224, 1010, 1998, 10941, 22178, 1012, 2005, 5776, 1998, 16030, 3595, 10980, 2140, 5375, 1010, 2057, 4067, 5650, 3881, 1010, 25984, 2002, 2546, 3678, 1010, 2520, 10556, 20414, 2050, 1010, 3744, 8034, 5163, 1010, 6437, 12849, 23555, 2099, 1010, 7437, 5355, 1010, 1998, 9851, 2259, 1012, 1008, 6156, 1062, 1012, 8731, 1008, 2144, 4772, 1997, 1996, 2117, 3179, 1010, 2057, 2031, 19727, 2013, 1996, 2470, 5375, 1997, 2195, 9559, 1998, 2375, 2493, 1999, 1996, 7547, 1997, 1996, 2541, 12448, 1998, 2023, 3729, 3179, 1012, 2057, 8794, 2135, 13399, 1996, 5375, 1997, 2508, 2522, 8022, 1010, 2745, 17971, 1010, 17526, 10773, 1010, 3434, 3393, 12326, 1010, 14559, 11409, 3207, 1010, 8507, 5003, 27406, 2100, 1010, 5863, 6384, 1010, 4532, 17768, 3122, 1010, 3477, 3286, 9033, 8447, 2102, 1011, 10364, 1010, 7673, 3044, 1010, 1998, 6874, 2107, 2239, 1012, 18443, 2000, 1996, 2034, 3179, 1006, 4404, 4735, 3639, 1010, 2901, 1007, 2023, 2338, 17367, 1996, 7268, 3947, 1997, 2116, 2111, 2058, 2116, 2086, 1012, 2009, 2211, 1999, 3150, 2004, 1037, 6410, 2005, 2026, 6612, 2493, 2012, 12291, 2375, 2082, 1010, 1998, 2058, 1996, 2086, 19727, 6551, 2013, 1996, 15690, 1010, 7928, 1010, 1998, 5857, 1997, 2493, 2040, 7718, 2009, 3679, 1999, 1996, 2212, 5434, 1012, 2021, 2009, 2001, 2467, 3154, 2000, 2033, 2008, 1996, 3815, 1997, 2375, 2041, 2045, 2001, 2061, 6565, 1010, 1998, 1996, 4654, 4842, 11638, 4818, 9866, 1997, 12560, 9559, 2061, 6179, 2065, 2009, 2071, 2022, 2081, 7801, 1010, 2008, 1037, 3639, 6410, 2323, 28845, 1996, 4073, 1997, 2116, 15744, 2306, 1996, 2492, 1012, 2372, 1997, 1996, 3639, 3347, 4928, 2062, 2084, 5627, 2000, 9002, 2000, 1996, 2622, 1010, 16475, 20656, 4013, 4305, 11411, 2271, 2051, 1998, 3947, 1999, 1996, 12930, 1997, 1996, 3679, 7670, 1997, 3218, 2030, 4252, 1010, 1998, 1996, 2765, 2003, 2023, 2034, 3179, 1012, 2116, 8628, 1010, 2814, 1010, 1998, 2493, 2031, 3024, 12382, 1998, 14727, 2490, 2005, 2023, 2622, 1012, 6108, 2482, 5420, 1010, 6156, 8731, 1010, 9345, 27282, 2368, 1010, 1998, 2520, 6157, 3191, 4866, 8810, 1997, 1996, 8356, 1998, 3253, 17077, 12369, 3993, 1998, 6851, 7928, 1012, 2116, 2500, 2020, 5627, 2000, 3745, 2037, 11532, 2030, 3437, 2026, 4297, 7971, 4630, 3980, 1010, 2164, 2990, 12731, 25311, 2050, 1010, 23151, 7641, 1010, 6330, 22550, 1010, 2520, 4962, 3995, 1010, 7912, 21025, 3367, 1010, 2957, 5226, 1010, 21562, 2002, 7076, 1010, 2957, 12555, 1010, 3817, 1047, 27959, 7432, 1010, 2520, 14188, 2100, 1010, 4097, 8840, 20936, 2015, 1010, 2745, 11338, 8625, 7231, 2100, 1010, 3235, 29062, 1010, 3312, 26868, 1010, 2198, 16183, 11711, 1010, 2728, 2016, 3489, 3406, 4246, 1010, 1998, 5879, 23564, 13687, 22254, 1012, 1045, 2572, 2036, 19590, 2000, 2031, 2042, 2583, 2000, 4009, 2006, 1996, 6040, 1997, 11126, 12291, 8628, 2107, 2004, 12655, 7112, 25668, 1010, 2798, 2785, 2890, 5289, 1010, 1998, 4532, 2455, 2483, 1012, 1045, 2572, 8794, 2005, 1996, 2490, 1997, 12291, 2118, 2375, 2082, 1999, 2023, 2146, 23855, 1010, 2049, 2343, 1010, 2585, 27599, 1010, 2049, 4670, 1010, 2703, 5699, 2386, 1010, 2049, 13850, 1010, 3968, 2316, 2121, 1010, 1998, 2049, 2490, 3095, 1012, 1045, 2572, 19590, 2000, 6570, 2012, 1037, 2375, 2082, 2008, 5300, 6566, 2008, 2453, 2393, 2191, 3423, 2916, 1037, 4507, 2005, 2062, 5381, 1010, 11210, 4350, 1012, 1045, 2572, 2926, 8794, 2000, 3870, 11338, 25643, 10695, 1010, 2040, 21189, 2172, 1997, 2023, 3872, 1006, 1045, 3246, 2008, 2014, 20398, 17904, 2147, 2006, 1996, 28967, 1998, 2417, 27528, 3215, 4858, 2047, 21923, 2005, 2014, 2004, 2016, 4269, 2014, 3423, 2476, 1007, 1025, 2000, 5076, 5215, 1010, 12082, 9894, 1010, 1998, 23729, 2460, 2005, 2037, 2147, 1999, 22868, 8810, 1997, 2023, 8356, 1025, 1998, 2000, 8507, 28194, 2721, 3600, 1998, 17508, 11721, 4246, 5420, 2012, 1996, 12291, 3274, 7692, 2415, 2005, 23659, 2033, 1998, 1996, 2338, 2013, 4816, 24034, 2006, 3365, 6642, 1012, 2493, 2040, 5201, 4895, 16643, 24360, 2470, 1998, 27816, 6040, 2421, 2033, 26685, 12712, 1010, 14559, 8655, 5289, 1010, 2585, 10768, 20060, 1010, 27356, 11382, 14376, 1010, 5545, 21860, 2100, 1010, 3656, 28641, 1010, 6294, 6583, 18533, 2239, 1010, 6877, 27599, 1010, 2508, 19438, 1010, 6864, 21442, 4135, 1011, 20171, 5946, 1010, 1998, 2909, 3207, 7231, 2099, 5232, 1012, 2070, 1997, 1996, 8020, 6048, 2036, 4299, 2000, 13399, 1996, 5375, 1997, 2037, 2493, 1024, 2002, 15987, 2063, 7296, 1010, 2726, 10974, 2386, 1010, 2728, 17710, 6238, 1010, 12306, 2232, 24630, 1010, 1998, 10923, 26261, 4215, 2386, 1012, 1045, 2036, 4299, 2000, 13399, 1996, 6048, 1998, 5784, 3005, 2808, 11677, 2023, 3872, 1010, 1998, 3005, 2147, 1998, 9866, 2081, 2256, 4073, 10047, 4168, 3022, 4648, 6321, 6082, 1024, 1996, 4404, 2837, 2005, 2270, 9517, 2578, 1010, 3005, 2731, 6410, 2015, 8546, 2149, 2000, 2116, 1997, 1996, 3572, 6563, 2182, 2378, 1025, 3044, 1521, 1055, 4735, 3218, 1998, 7709, 1025, 1996, 2212, 2457, 1521, 1055, 6467, 3979, 6410, 1025, 22393, 13186, 1521, 1055, 14812, 1997, 4404, 3350, 1025, 11338, 2532, 18533, 1998, 13109, 20147, 2854, 1521, 1055, 4404, 3350, 1024, 1037, 20747, 4431, 1025, 1998, 7598, 1521, 1055, 3979, 6410, 2005, 1996, 3639, 1997, 4735, 3572, 1012, 1996, 2225, 4640, 2194, 2081, 2049, 2225, 14919, 7809, 2800, 2005, 2023, 2622, 1012, 1045, 2113, 2008, 1045, 2071, 2025, 2031, 8760, 2023, 2622, 2302, 1996, 15846, 1010, 4187, 6040, 1010, 1998, 11752, 1997, 2026, 2564, 1010, 9345, 27282, 2368, 1010, 1998, 2302, 1996, 26380, 1998, 6827, 4073, 1997, 2026, 2684, 1010, 6249, 1010, 2000, 4372, 4588, 2063, 2033, 2185, 2013, 1996, 3274, 2005, 25347, 2015, 1997, 2377, 1012, 2633, 1010, 2023, 2338, 2052, 2025, 2031, 2042, 2517, 2018, 2025, 2026, 3008, 1010, 14807, 1998, 13254, 14154, 3549, 3385, 1010, 4036, 2033, 2000, 2729, 2055, 1998, 4339, 2055, 1996, 2270, 3037, 1012, 2023, 2338, 2003, 4056, 2000, 2068, 1012, 2783, 1006, 4343, 1007, 3179, 4388, 1040, 1012, 14154, 3549, 3385, 6072, 14644, 2818, 2934, 1997, 2375, 2012, 12291, 2118, 2375, 2082, 1025, 1046, 1012, 1040, 1012, 1010, 5765, 2375, 2082, 1010, 3285, 1012, 1999, 2804, 2000, 2010, 4252, 1010, 2934, 14154, 3549, 3385, 2038, 2146, 2042, 2920, 1999, 1996, 9347, 1997, 3423, 2578, 2000, 27427, 29206, 2102, 7846, 1010, 2004, 2472, 1997, 1996, 12291, 10758, 12534, 1010, 2019, 4905, 1999, 1996, 5862, 2270, 12534, 2436, 1010, 1037, 5873, 4905, 1999, 1037, 2148, 3060, 3423, 9349, 1010, 1998, 1037, 2334, 3423, 2578, 2604, 2266, 1012, 2004, 2019, 4905, 1010, 2002, 2038, 3421, 5507, 10762, 3215, 2012, 2035, 3798, 1997, 1996, 2110, 1998, 2976, 5434, 1010, 1998, 2038, 5275, 3572, 7175, 4735, 3425, 2006, 6852, 1997, 1996, 9353, 7630, 1010, 18856, 2819, 1010, 1998, 4404, 2523, 1997, 4735, 3639, 9559, 1012, 2010, 4790, 1999, 1996, 2752, 1997, 4735, 3425, 1998, 2529, 2916, 2031, 2596, 1999, 2107, 9263, 2004, 1996, 3842, 1010, 1996, 2118, 1997, 3190, 2375, 3319, 1010, 1996, 5765, 2942, 2916, 1013, 2942, 18271, 2375, 3319, 1010, 1998, 1996, 3146, 2375, 3319, 1012, 2934, 14154 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2489, 3784, 4306, 5592, 2075, 11420, 4951, 2128, 15532, 7401, 999, 22088, 11263, 4859, 1002, 3156, 2507, 9497, 1045, 2052, 2224, 1996, 1002, 3156, 2000, 2404, 2875, 2026, 2267, 2495, 1012, 1045, 2097, 2224, 2009, 2000, 4636, 2026, 2365, 1521, 1055, 3264, 2622, 1012, 1045, 2293, 2023, 2801, 1529, 2018, 2000, 4638, 2041, 2609, 2044, 3666, 11420, 4951, 1012, 1045, 2052, 3613, 4637, 2026, 4804, 2622, 999, 12476, 999, 999, 999, 999, 1045, 2215, 2023, 1015, 2005, 5237, 2622, 1045, 2052, 2066, 1037, 6900, 7997, 1012, 1045, 2052, 6611, 1996, 2769, 2875, 4526, 1996, 2088, 26775, 10376, 3917, 1025, 1037, 4316, 5214, 1997, 2635, 2130, 2512, 1011, 2572, 28507, 7062, 2111, 5973, 1999, 1996, 2088, 1996, 4299, 2000, 2175, 1010, 2013, 6536, 1011, 2000, 1011, 6536, 1010, 1998, 2130, 2039, 2000, 3998, 5563, 2104, 1996, 2712, 1010, 2096, 22198, 2993, 2013, 2151, 1055, 2532, 5620, 8073, 1012, 2009, 2097, 2079, 2035, 2023, 2302, 1996, 2224, 1997, 10725, 20145, 1012, 2057, 2393, 2034, 3842, 1006, 18318, 8490, 16564, 2015, 1007, 8711, 2000, 2272, 1999, 2710, 1998, 2191, 2047, 2166, 1012, 2057, 2024, 6224, 5029, 2000, 2128, 4135, 9289, 3550, 2035, 1997, 2068, 2013, 6504, 1516, 12899, 1011, 6027, 1010, 2027, 2024, 6318, 1999, 2216, 2752, 1998, 2057, 2064, 3362, 2035, 1997, 2068, 3435, 1012, 1045, 2052, 2224, 1996, 2769, 2000, 2175, 2067, 2000, 2082, 1002, 3156, 2052, 2022, 1037, 13301, 1012, 1045, 2031, 2018, 1037, 3697, 2095, 2007, 2740, 3471, 1998, 3974, 2026, 3105, 2007, 2008, 3156, 1045, 2052, 4965, 2833, 1998, 11867, 4014, 2102, 2090, 8236, 1998, 2059, 4965, 2026, 2684, 2082, 4253, 1045, 2052, 2224, 1996, 2769, 2000, 3477, 2006, 2070, 1997, 2026, 2116, 2966, 8236, 1998, 2000, 4965, 3941, 2000, 2707, 1037, 2047, 9518, 2008, 2052, 3929, 2490, 2033, 1012, 1998, 5791, 3477, 2009, 2830, 2043, 2825, 1012, 1045, 2052, 2507, 1996, 1002, 3156, 2000, 2026, 2190, 2767, 2000, 2393, 4636, 1996, 5030, 1997, 2014, 5544, 999, 1045, 2052, 2224, 2009, 2005, 26298, 999, 1045, 1521, 1040, 2175, 2006, 10885, 2007, 2026, 4268, 1012, 1045, 2572, 1037, 9776, 8003, 1998, 2026, 6896, 2003, 2000, 5438, 1996, 11573, 1998, 3087, 2040, 2003, 7501, 1012, 1045, 2052, 2224, 1996, 1002, 3156, 2000, 4965, 2026, 9587, 2100, 5886, 1037, 4641, 5524, 1012, 2016, 2015, 2042, 2908, 2023, 2095, 2097, 2022, 1020, 2086, 1998, 2145, 2025, 2288, 1037, 4641, 5524, 1012, 1012, 1045, 2052, 2224, 1996, 2769, 2875, 4398, 8236, 1045, 2052, 2202, 1037, 2210, 2346, 4440, 2007, 2026, 2155, 2007, 1996, 2769, 999, 1045, 2052, 4965, 2070, 2770, 6007, 1998, 2079, 2070, 10315, 2006, 2256, 2482, 1012, 1045, 2052, 2224, 1002, 3156, 2000, 2404, 13627, 2006, 2026, 2482, 1012, 1045, 2052, 2224, 2009, 2000, 2202, 2026, 2882, 3211, 5104, 2000, 6373, 2088, 1045, 2052, 2224, 2009, 2875, 26298, 999, 999, 2256, 2160, 2038, 1017, 2111, 1999, 2267, 1010, 2057, 2071, 2224, 1996, 3156, 2005, 26298, 2005, 2469, 1012, 2007, 1002, 3156, 1045, 2052, 3477, 2125, 8236, 1998, 2131, 2070, 2991, 1013, 3467, 4253, 2005, 2026, 2210, 3924, 999, 3477, 8236, 1998, 4965, 4253, 1012, 1045, 1521, 1040, 2404, 2009, 2875, 1037, 2047, 3274, 1012, 2065, 1045, 2180, 1996, 1002, 3156, 1010, 1045, 2052, 5247, 2009, 2006, 2067, 2000, 2082, 5929, 1998, 6067, 1010, 1998, 1996, 2717, 2006, 4398, 8236, 1998, 26298, 1012, 2052, 2293, 2000, 2663, 1010, 2065, 1045, 2079, 1996, 2769, 2097, 2175, 2000, 2067, 2000, 2082, 6023, 1998, 26298, 999, 1045, 2052, 4965, 20829, 1997, 2808, 999, 1045, 2052, 4965, 2026, 12787, 2015, 2067, 2000, 2082, 4253, 1998, 6067, 1045, 2052, 2224, 1996, 1002, 3156, 2000, 2393, 3477, 2125, 8236, 1998, 2000, 4965, 4234, 7534, 1012, 1045, 2052, 2224, 2009, 2005, 2026, 4440, 2000, 10342, 2005, 13173, 11045, 2088, 3219, 2030, 9280, 2000, 8484, 1999, 5264, 1012, 2052, 2022, 12476, 2000, 2663, 1012, 1045, 2052, 2224, 1996, 1002, 3156, 2663, 2000, 4965, 1037, 2488, 3274, 1012, 1045, 1521, 1040, 2022, 6135, 11771, 1998, 2404, 2009, 3442, 2006, 2026, 4923, 4003, 1012, 1045, 2052, 2079, 2070, 2147, 2000, 2026, 2482, 1998, 2175, 3942, 2070, 1997, 2026, 2155, 1999, 2593, 4880, 16659, 2030, 26850, 999, 1045, 2052, 2202, 2026, 8403, 2564, 1997, 2607, 2006, 1037, 3376, 2305, 2041, 1012, 2065, 1045, 2180, 1002, 3156, 1010, 1045, 2052, 5791, 2404, 2009, 2875, 2026, 5030, 999, 1045, 2052, 2224, 2009, 2005, 2966, 8236, 1012, 1045, 2052, 2404, 2009, 2875, 3228, 2026, 8003, 2925, 3129, 1037, 6919, 4474, 2006, 2256, 19227, 1012, 3477, 2125, 2026, 10882, 3527, 3042, 3021, 1998, 2404, 2070, 2875, 2026, 15413, 3076, 5414, 1012, 3477, 2125, 2070, 8236, 1012, 1045, 2052, 2507, 2009, 2000, 2026, 2684, 2040, 9652, 3791, 1037, 2047, 2482, 2000, 2131, 2000, 2082, 1998, 2067, 1045, 2052, 4965, 2019, 6207, 3422, 2005, 2870, 999, 1045, 2052, 2224, 1002, 3156, 2000, 3477, 2070, 1997, 2026, 3076, 10940, 1045, 2052, 3828, 2009, 2005, 1037, 2091, 4502, 25219, 3372, 2000, 2393, 4965, 1037, 2188, 999, 1045, 2052, 3477, 2125, 8236, 1045, 1521, 1040, 3477, 2125, 8236, 1045, 2052, 2404, 2009, 2875, 9343, 2026, 2118, 18841, 1999, 2244, 999, 999, 2216, 2477, 2024, 6450, 100, 1045, 2052, 3477, 2125, 2026, 4923, 4003, 1010, 2131, 2026, 3899, 1037, 2047, 2793, 1010, 1998, 2672, 2131, 1037, 6411, 1012, 1045, 2052, 2224, 1002, 3156, 2000, 2404, 2833, 2006, 1996, 2795, 2005, 2870, 1998, 2026, 11429, 2040, 2003, 8084, 2000, 2191, 4515, 3113, 1012, 3477, 2125, 2026, 3076, 10940, 1012, 2009, 2052, 2393, 14388, 2135, 999, 1045, 2052, 4965, 2242, 2169, 2005, 2026, 2093, 4268, 1998, 2059, 2404, 1996, 2769, 2185, 1999, 10995, 2005, 1037, 2488, 3604, 9117, 1012, 1045, 2052, 3477, 2125, 8236, 1012, 1045, 2052, 4965, 1037, 2047, 12191, 2138, 3067, 2003, 2214, 1998, 2180, 2102, 2197, 2172, 2936, 1045, 2052, 2224, 2009, 2006, 3604, 11727, 1010, 2004, 1045, 1521, 1040, 2066, 2000, 2202, 1037, 10885, 1012, 2204, 6735, 4364, 1529, 1529, 1529, 1045, 1521, 1040, 5247, 2009, 2006, 26296, 2256, 11867, 6657, 19099, 2099, 2291, 1045, 2052, 2404, 1002, 3156, 2646, 2026, 5030, 4636, 1012, 1045, 2052, 2224, 2023, 2769, 2000, 2393, 4965, 6067, 2005, 2026, 2895, 2470, 2622, 2005, 2026, 2197, 2095, 1997, 2026, 5972, 1997, 17220, 2495, 2565, 2073, 1045, 2572, 2667, 2000, 7496, 1996, 6832, 10859, 1997, 2034, 4245, 1013, 2659, 3318, 2493, 2437, 2037, 2126, 2000, 2267, 2005, 1996, 2034, 2051, 1012, 1045, 2052, 2224, 2070, 1997, 1996, 2769, 2005, 2026, 5030, 1998, 1996, 2717, 1997, 2009, 1045, 2052, 21357, 2000, 1996, 27641, 3192, 1012, 1045, 2052, 2224, 1996, 1002, 3156, 2875, 2256, 9587, 5737, 1043, 5366, 1012, 9594, 3762, 2074, 3631, 2010, 3329, 1998, 1045, 2031, 2053, 2801, 2129, 2057, 1521, 2222, 2131, 2009, 2589, 2085, 1012, 2071, 2224, 2023, 2005, 2026, 5727, 2005, 1996, 2510, 1012, 1045, 2052, 2224, 2009, 2000, 2175, 2006, 1037, 2092, 1011, 2734, 10885, 1012, 1045, 2052, 2507, 2070, 2000, 2026, 2905, 2005, 2026, 2574, 1011, 2000, 1011, 2272, 7833, 1521, 1055, 24501, 2361, 1010, 3477, 2091, 2070, 8236, 1010, 1998, 2344, 2870, 1037, 10733, 999, 999, 999, 1045, 1521, 1049, 13131, 1037, 2160, 1010, 2061, 2035, 1997, 2026, 8622, 2689, 3632, 2875, 2008, 4636, 1012, 1045, 1036, 1040, 3477, 2006, 2026, 8236, 1998, 4965, 2070, 2047, 4253, 1012, 2025, 2469, 2065, 2026, 2034, 7615, 2253, 2083, 1010, 1010, 1045, 1036, 1040, 3477, 8236, 1998, 4965, 2070, 2047, 4253, 1012, 1045, 2052, 4965, 4234, 9604, 2005, 2026, 2336, 15854, 7570, 2080, 999, 3093, 4625, 1012, 1045, 2052, 2404, 2023, 2875, 4234, 1998, 8236, 1012, 1045, 2052, 2224, 1996, 4469, 1002, 3156, 2000, 3942, 2026, 2905, 2040, 2003, 8074, 2014, 2353, 2775, 1999, 1037, 3232, 2706, 1529, 1998, 2036, 2000, 27594, 2026, 7833, 2015, 1037, 2210, 2978, 2096, 1045, 2572, 2045, 1045, 2052, 3477, 2091, 2026, 2160, 2009, 2052, 2022, 2109, 2646, 2026, 2267, 2495, 999, 2204, 2224, 1012, 1045, 4299, 2017, 2035, 2204, 6735, 1529, 1045, 2052, 2224, 2009, 2000, 4965, 4950, 7358, 2099, 2005, 2051, 2721, 29251, 6876, 100, 2065, 1045, 2663, 1002, 3156, 1010, 1045, 1521, 1040, 4965, 1037, 5884, 2005, 1037, 23655, 2029, 2003, 3498, 1999, 2026, 2181, 1012, 2059, 1045, 1521, 2222, 3443, 1037, 2591, 4037, 2005, 2068, 1012, 2009, 2052, 2393, 5089, 1010, 2493, 1004, 3008, 2200, 2172, 2004, 3938, 1003, 1997, 2068, 2219, 1037, 6047, 3042, 1013, 17596, 1012, 2023, 2097, 2393, 2068, 2994, 4198, 1012, 1045, 2052, 2404, 2009, 2875, 2070, 3460, 1521, 1055, 14651, 1045, 1521, 2310, 2042, 5128, 2125, 2138, 1997, 1037, 3768, 1997, 5029, 1012, 2042, 2383, 2067, 3471, 2144, 2197, 2281, 999, 3041, 2023, 2095, 1045, 17414, 1037, 3462, 2007, 8753, 2480, 2005, 1037, 4440, 2021, 1037, 2155, 5057, 2486, 2033, 2000, 17542, 1010, 8753, 2480, 2515, 2053, 25416, 8630, 1529, 1045, 2363, 1037, 4923, 2000, 2022, 2109, 2306, 1037, 2095, 1010, 2021, 1045, 2031, 2053, 2051, 2061, 1996, 2769, 2003, 10468, 2908, 1012, 2200, 15640, 2021, 1045, 2052, 2224, 1996, 1002, 3156, 2000, 2175, 4873, 2066, 6396, 1045, 1521, 1040, 2404, 2009, 2875, 4234, 2005, 2026, 2684, 999, 2026, 2684, 2003, 2893, 2496, 2023, 2991, 2061, 1045, 2228, 2009, 2052, 2022, 1037, 2307, 2393, 2000, 2149, 1012, 4067, 2017, 2005, 1996, 3382, 999, 1045, 2052, 2224, 2009, 2005, 2067, 2000, 2082, 6067, 3477, 8236, 1998, 4965, 2070, 4234, 7534, 2005, 2026, 2403, 13628, 1012, 1045, 2052, 4965, 2070, 2991, 4253, 2005, 2033, 1998, 2026, 2365, 4606, 1045, 1521, 1040, 2036, 2202, 2026, 2155, 2041, 2005, 4596, 1012, 2065, 1045, 2180, 1045, 2052, 3477, 2026, 24385, 1045, 2052, 2224, 2070, 1997, 2009, 2005, 1037, 3835, 7954, 2041, 1998, 2672, 1037, 3185, 1998, 2059, 2404, 1996, 2717, 1997, 2009, 2646, 7079, 2125, 8236, 1012, 1045, 2052, 3828, 2009, 1004, 2224, 2009, 2320, 1045, 2064, 8984, 2000, 2131, 2178, 2160, 1529, 1004, 2693, 2067, 2041, 1997, 2026, 3008, 2188, 999, 8840, 2140, 4283, 2061, 2172, 2005, 1996, 3382, 999, 1045, 1521, 1040, 2224, 2009, 2000, 3477, 2070, 8236, 1012, 1045, 2052, 2275, 2531, 1002, 4998, 2005, 2256, 2334, 3360, 7713, 1010, 4965, 2026, 3008, 1037, 5592, 2005, 2037, 5315, 1998, 1996, 2717, 2052, 2087, 3497, 2175, 2046, 7079, 2125, 2026, 3076, 10940, 1012, 2065, 1045, 2131, 1002, 3156, 2507, 9497, 1010, 1045, 2097, 2031, 1037, 2966, 4638, 1010, 1998, 2175, 2005, 4356, 3773, 1999, 19710, 15125, 2138, 1045, 2031, 7422, 2026, 2166, 2005, 1996, 20502, 2111, 2005, 2321, 2086, 1012, 1045, 2514, 5458, 1010, 1045, 2342, 2000, 25416, 21898, 2026, 2740, 1010, 2026, 2568, 2005, 1037, 2460, 2051, 1012, 2059, 1045, 2097, 2272, 2067, 2000, 2026, 2591, 2147, 2029, 2003, 2026, 3260, 1012, 1045, 2572, 1996, 2343, 1997, 2064, 27793, 2523, 1997, 2111, 2007, 13597, 1010, 1999, 2148, 1997, 19710, 15125, 1012, 1045, 2870, 2572, 1037, 9776, 2450, 1012, 4283, 2632, 4140, 1012, 1045, 2052, 2175, 6023, 1998, 9483, 2063, 2012, 1037, 3948, 2078, 1012, 1045, 2052, 2202, 2026, 2564, 2041, 2005, 1037, 3835, 4596, 1012, 1045, 2052, 2224, 2009, 2000, 2202, 1037, 4440, 1045, 1521, 1040, 2202, 1996, 4268, 4873, 4569, 1998, 1996, 2717, 2404, 2006, 8236, 1045, 2052, 2224, 2023, 2000, 2131, 4234, 2005, 2026, 2882, 3211, 5104, 1012, 2012, 2023, 2617, 1010, 1045, 2052, 5247, 1996, 2769, 2006, 7151, 8208, 2578, 1012, 2057, 2024, 2025, 2383, 1037, 2843, 1997, 3112, 2006, 2256, 2219, 1012, 1045, 2342, 2393, 1998, 2342, 2009, 6649, 1045, 2052, 13366, 14776, 2135, 2404, 2009, 2875, 8236, 1012, 1057, 5603, 1529, 1012, 1045, 2052, 2202, 1037, 2172, 2734, 2346, 4440, 999, 1045, 2052, 5247, 1996, 2769, 2006, 2026, 7833, 2015, 1012, 2425, 2149, 2054, 2017, 2052, 2079, 2007, 1996, 1002, 3156, 999, 1045, 2052, 5247, 2009, 2066, 1037, 12383, 1012, 1012, 1045, 2342, 2000, 2202, 1037, 12436, 7542, 4283, 1045, 2052, 2404, 1996, 1002, 3156, 2875, 2026, 3076, 5414, 10504, 1012, 1045, 2052, 2224, 1996, 2769, 2000, 4965, 2026, 2365, 1521, 1055, 4045, 10250, 19879, 4263, 2005, 2082, 2004, 2092, 2004, 2404, 2769, 2185, 2005, 2010, 4234, 7534, 999, 2065, 1045, 2180, 2023, 3396, 1045, 2052, 4965, 4234, 9604, 2005, 2026, 2155, 1012, 1045, 2052, 2175, 2006, 1037, 13215, 10885, 999, 1045, 1521, 1040, 2079, 2070, 13039, 1998, 2131, 2185, 2013, 1996, 6911, 1997, 2166, 999, 1045, 2052, 4518, 2039, 2006, 27796, 5167, 1012, 2065, 1045, 2180, 1002, 3156, 1045, 2052, 4965, 1037, 2047, 3526, 3042, 1012, 1045, 1521, 1040, 4965, 2026, 2684, 2673, 2016, 3791, 2005, 2082, 2023, 2095, 1012, 2009, 1521, 1055, 1037, 2502, 2095, 3502, 999, 1037, 2307, 2126, 2000, 2393, 4636, 14995, 3366, 999, 8038, 2100, 999, 3477, 2070, 8236, 2051, 1045, 1521, 1040, 2079, 2026, 4234, 6023, 4283, 2005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2651, 1045, 2288, 1996, 2204, 2739, 1012, 2057, 1006, 2175, 4103, 1998, 1045, 1007, 2938, 1999, 1996, 7435, 2436, 3403, 2005, 1996, 3463, 1997, 2026, 7388, 16012, 18075, 1012, 2028, 3204, 3041, 1045, 2018, 1037, 5003, 7382, 8649, 6444, 1012, 2044, 2035, 2009, 2018, 2069, 2042, 2382, 2086, 2144, 2008, 4654, 26775, 14194, 15370, 8639, 3698, 2018, 2197, 5490, 27020, 9072, 2026, 2402, 9742, 12682, 2046, 1037, 6090, 17955, 1012, 1996, 3460, 2012, 2008, 2051, 2018, 2056, 1010, 1045, 2031, 2196, 2464, 2107, 9742, 12682, 1529, 1037, 5003, 7382, 8649, 6444, 2097, 2025, 2022, 2583, 2000, 2265, 2505, 1012, 2092, 4241, 2232, 1045, 2245, 1012, 4312, 2015, 1010, 2026, 2783, 3460, 1010, 2044, 12843, 2026, 4868, 2095, 2214, 7842, 12588, 12682, 4081, 2009, 2001, 2051, 2000, 2031, 2178, 5003, 7382, 8649, 6444, 1012, 1045, 1997, 2607, 3631, 2041, 2046, 1037, 7518, 2012, 1996, 6121, 3154, 3638, 1997, 2471, 19477, 1996, 5003, 7382, 9888, 16661, 1012, 1045, 2228, 1045, 2941, 2052, 2031, 2012, 1996, 2051, 1010, 3272, 2005, 1996, 3580, 4987, 2000, 2026, 7388, 7687, 10047, 5302, 14454, 6026, 2026, 2157, 8103, 1012, 8434, 12278, 2013, 11969, 2006, 1996, 2543, 1529, 2116, 5167, 4961, 2012, 2188, 1045, 2018, 2023, 3522, 5003, 7382, 8649, 6444, 2048, 2420, 2077, 2975, 2006, 2256, 10905, 15495, 4440, 1012, 2588, 2709, 1010, 2045, 2020, 1017, 3042, 7696, 1010, 2019, 10373, 1010, 1998, 2130, 2070, 3259, 5653, 5517, 2008, 2027, 2734, 2000, 2031, 1037, 3553, 2298, 2012, 2242, 2027, 2387, 1012, 12316, 9681, 1012, 2048, 2420, 2044, 1045, 2513, 1996, 2655, 1010, 1045, 2001, 2012, 1996, 6090, 17955, 3698, 2153, 1529, 2021, 2023, 2051, 1010, 13675, 13699, 2229, 2020, 2006, 1996, 12183, 1012, 4067, 2643, 2005, 3080, 7842, 12588, 12682, 2008, 2020, 1999, 1996, 6888, 2005, 13675, 13699, 2229, 1012, 2092, 1010, 1996, 23848, 25201, 5003, 7382, 8649, 6444, 3662, 2242, 1010, 1998, 1996, 2168, 2154, 1045, 2001, 2012, 1996, 27312, 3698, 1012, 1045, 2323, 3602, 2008, 1045, 3685, 2514, 1037, 15116, 2030, 2505, 2076, 1037, 7388, 2969, 7749, 1529, 2035, 2003, 3671, 1999, 2045, 2004, 2521, 1045, 2064, 2425, 1012, 2061, 2178, 2733, 5235, 1998, 1045, 2572, 2067, 2012, 1996, 13675, 13699, 2063, 3698, 1010, 1998, 2059, 2178, 13675, 13699, 2063, 3698, 2073, 2033, 1998, 1996, 3698, 2064, 2131, 26931, 15642, 2075, 2005, 2054, 2790, 2066, 12715, 1529, 2007, 1037, 12913, 12889, 2784, 2046, 2026, 7388, 1012, 2023, 12401, 7709, 2165, 2058, 2871, 2781, 1998, 2643, 4282, 2129, 2116, 1060, 1011, 9938, 1012, 2026, 7388, 2001, 7708, 2007, 1037, 2210, 12201, 1999, 7547, 2005, 23851, 1997, 1996, 2312, 12201, 2046, 2074, 1996, 2157, 3962, 2005, 2176, 8153, 8168, 2000, 2022, 3718, 1012, 4248, 4355, 16012, 18075, 2412, 2027, 7034, 1529, 3262, 2349, 2000, 2033, 2025, 5505, 2005, 2871, 2781, 1012, 2027, 2741, 2033, 2188, 2007, 2019, 3256, 5308, 19374, 2006, 2026, 2145, 9524, 22017, 2497, 1529, 6823, 2001, 3223, 2004, 1045, 2134, 1521, 1056, 2031, 1037, 11655, 2000, 4933, 1996, 3256, 23947, 2046, 1006, 2123, 1521, 1056, 2219, 1037, 11655, 1007, 1012, 1998, 2074, 2005, 4569, 1010, 1996, 6823, 3668, 2408, 1996, 7591, 3096, 2006, 2026, 7388, 1998, 2046, 2026, 2849, 23270, 1529, 2026, 4895, 7377, 7178, 2849, 23270, 1010, 2947, 4346, 2028, 1997, 2216, 5312, 2073, 1045, 6257, 1045, 2018, 20665, 1006, 2123, 1521, 1056, 2219, 1037, 15082, 1007, 1012, 1006, 3602, 1024, 2023, 2089, 2022, 2205, 2172, 2592, 1010, 2021, 1045, 2572, 6631, 2023, 3167, 2592, 2005, 1037, 3114, 2008, 2097, 2468, 3154, 2101, 1007, 2279, 2006, 1996, 12183, 2001, 1037, 2733, 2146, 3524, 2000, 2131, 1996, 3463, 1997, 2026, 16012, 18075, 1012, 2009, 2001, 2019, 5875, 2733, 1998, 1045, 2134, 1521, 1056, 2428, 2228, 2055, 2023, 2205, 2172, 1529, 2025, 2172, 1045, 2071, 2079, 2007, 2061, 2210, 2592, 2061, 1045, 1521, 2222, 2074, 3066, 2007, 3649, 3310, 2026, 2126, 2043, 1045, 2113, 2062, 1012, 2174, 1010, 3038, 2023, 1045, 2145, 2018, 2026, 2219, 4333, 2743, 3215, 2055, 11704, 12141, 1010, 1996, 4456, 3068, 1010, 1998, 3241, 2672, 2074, 2025, 2383, 3949, 1998, 2292, 3267, 2202, 2009, 1521, 1055, 2607, 1529, 2025, 2008, 1045, 2031, 1037, 2331, 4299, 2030, 2505, 1045, 2074, 8840, 8988, 1996, 2878, 2291, 2073, 4456, 16605, 2000, 3652, 2256, 4610, 1012, 1045, 2123, 1521, 1056, 4025, 2000, 2031, 1037, 2502, 3571, 1997, 2331, 1529, 2030, 2672, 1045, 2079, 1010, 1998, 2074, 2123, 1521, 1056, 2113, 2009, 2664, 1012, 1029, 1029, 1029, 4312, 2015, 1010, 1045, 2985, 2026, 2733, 3652, 2833, 1010, 8225, 6919, 12278, 2013, 1996, 3871, 1010, 2559, 2044, 1996, 14473, 1010, 3752, 1010, 2183, 2000, 2473, 6295, 1010, 3241, 2055, 2026, 2451, 1010, 8019, 1999, 8962, 7630, 10603, 1010, 3666, 20364, 12887, 1010, 3110, 15531, 2005, 2026, 2166, 1998, 2026, 14293, 1010, 2383, 5027, 18996, 2015, 1999, 1996, 3684, 4400, 1010, 7079, 2074, 2438, 3086, 2000, 2088, 2824, 2000, 2022, 3811, 12491, 2021, 2025, 4527, 1010, 4385, 1012, 2166, 2003, 2200, 2204, 1012, 1045, 2293, 2256, 5822, 2061, 2067, 2000, 2651, 1012, 3460, 7365, 2046, 1996, 2282, 3038, 1523, 1045, 2031, 2204, 2739, 1524, 1998, 3632, 2006, 2000, 4863, 2054, 2027, 2179, 1012, 2016, 2056, 1045, 2071, 5390, 1010, 2021, 1045, 2018, 2053, 4792, 2000, 2079, 2061, 1529, 4445, 2106, 2175, 4103, 1012, 2057, 2020, 2025, 2499, 2039, 3403, 2005, 1996, 16012, 18075, 3463, 1012, 2009, 2001, 2183, 2000, 2022, 2054, 2009, 2001, 2183, 2000, 2022, 1012, 2852, 2246, 2012, 2033, 13939, 2043, 1045, 2134, 1521, 1056, 5390, 1012, 1996, 4751, 1024, 1045, 2031, 1037, 4678, 2433, 1997, 29215, 2483, 1006, 8840, 28808, 2482, 21081, 2863, 1999, 26179, 1007, 1529, 4066, 1997, 1037, 4456, 1012, 4593, 1045, 2031, 1037, 1015, 1003, 2566, 2095, 4803, 3446, 1997, 3445, 4456, 3446, 2349, 2000, 2023, 1529, 2021, 2145, 2087, 2308, 2123, 1521, 1056, 4503, 4456, 2013, 2023, 11616, 1012, 10468, 1010, 1045, 2031, 4342, 2008, 4456, 4442, 2719, 1010, 2021, 2026, 2303, 4838, 2068, 1998, 2027, 2024, 2025, 9359, 1529, 2012, 2023, 2051, 1012, 1996, 2783, 5981, 2003, 3251, 2030, 2025, 2000, 2130, 2655, 2023, 11616, 4456, 1012, 1045, 2097, 2022, 3773, 1037, 9431, 2000, 6848, 9268, 1996, 1523, 1999, 26179, 1524, 14555, 2030, 2725, 2498, 1998, 2074, 3666, 1012, 7145, 1010, 2308, 2007, 2023, 4650, 2411, 9601, 2440, 15429, 22471, 20936, 2229, 1010, 2021, 2023, 2003, 2053, 2936, 1996, 2553, 1012, 2026, 2047, 7198, 28251, 1999, 1996, 3871, 1529, 1045, 2293, 2009, 999, 1996, 2852, 1012, 2059, 2253, 2006, 2000, 2360, 2008, 1045, 2323, 2175, 2041, 1037, 4965, 1037, 15213, 7281, 1010, 2138, 2023, 11616, 2003, 1996, 2190, 2028, 1045, 2071, 2031, 4298, 2018, 2005, 2026, 15116, 1012, 5341, 2033, 1012, 2021, 3524, 1037, 2617, 1529, 6735, 1029, 2613, 2100, 1029, 2026, 2303, 2106, 2054, 2531, 1010, 2199, 2086, 1997, 2529, 6622, 16984, 2009, 2000, 2079, 2043, 4320, 2007, 21647, 1051, 11923, 2229, 1012, 2129, 2172, 2003, 6735, 1010, 1998, 2129, 2172, 1997, 2023, 2003, 2026, 9580, 1029, 1999, 1996, 2832, 1997, 6064, 1998, 3526, 21647, 1010, 12051, 2024, 2081, 2035, 1996, 2051, 1010, 2021, 2256, 4230, 2113, 2129, 2000, 8081, 2122, 1012, 2043, 2256, 4230, 2123, 1521, 1056, 2147, 2157, 1998, 3335, 2242, 1010, 2823, 25409, 2064, 2765, 1012, 2009, 1521, 1055, 2115, 14471, 1010, 2009, 2115, 4962, 3670, 1010, 2009, 1521, 1055, 2115, 16012, 4168, 1010, 2009, 1521, 1055, 2115, 2381, 1010, 1998, 2009, 1521, 1055, 2115, 9580, 1012, 2035, 1997, 2122, 2377, 1037, 2535, 1012, 1999, 2026, 2553, 1045, 2031, 2204, 9165, 1529, 2025, 1037, 2843, 1997, 2155, 2381, 1012, 1045, 1521, 2310, 2036, 2042, 5072, 2135, 7591, 2026, 2878, 2166, 1998, 4468, 11704, 12141, 1529, 2926, 2216, 2179, 1999, 3167, 2729, 3688, 1998, 2311, 4475, 1012, 1045, 2036, 5454, 2000, 2444, 2200, 11543, 2084, 2087, 2111, 1999, 2256, 3226, 1529, 1998, 2025, 2074, 2007, 2025, 2383, 1037, 11655, 2030, 1037, 15082, 1012, 1045, 2052, 2175, 2130, 2582, 2000, 6592, 2008, 1045, 2444, 2172, 3553, 2000, 1037, 1523, 3019, 1524, 2529, 1999, 2116, 3971, 2164, 1996, 2206, 1024, 1045, 4982, 1998, 2005, 4270, 2087, 1997, 2026, 2219, 2833, 1998, 4521, 2019, 18168, 29193, 12348, 8738, 1012, 1045, 2109, 1996, 2773, 2005, 4270, 2004, 2023, 3849, 6413, 2005, 2129, 1045, 8587, 2026, 2833, 1012, 2256, 5822, 2024, 3243, 3019, 1999, 2037, 6721, 2791, 1998, 9428, 26433, 2126, 1012, 2116, 2477, 2175, 2000, 6534, 2947, 2045, 2024, 2833, 20096, 7249, 1012, 1045, 22995, 1996, 5800, 2200, 2210, 1012, 2053, 6229, 21529, 1012, 3504, 2785, 1997, 18307, 1010, 2021, 2045, 2003, 6719, 2833, 7249, 1012, 2026, 9535, 12702, 16012, 4168, 2003, 6897, 2135, 7578, 1012, 1045, 4521, 7167, 1997, 6315, 5909, 1998, 2310, 13871, 3111, 1010, 4521, 2188, 10768, 10867, 14088, 9440, 1010, 4392, 6315, 17977, 6501, 1998, 2191, 2026, 2219, 6315, 6501, 8808, 1010, 2123, 1521, 1056, 4521, 6240, 2013, 3919, 5237, 2021, 2079, 4521, 6240, 2055, 1017, 2335, 2566, 2733, 1999, 2621, 1998, 1019, 2335, 2566, 2733, 1999, 3467, 1006, 20403, 1010, 7975, 1006, 27681, 1007, 1010, 8448, 1010, 2334, 15960, 1007, 1010, 1045, 4521, 26780, 9742, 2833, 1010, 1045, 2123, 1521, 1056, 4521, 1999, 7884, 1010, 1045, 4521, 2200, 2210, 13995, 2833, 1010, 2054, 1045, 2123, 1521, 1056, 4982, 2003, 3262, 7554, 1010, 1045, 4521, 1037, 2978, 2062, 6638, 2015, 1998, 2200, 2210, 15514, 2482, 5092, 10536, 7265, 4570, 2030, 5699, 1010, 4385, 1012, 1045, 2123, 1521, 1056, 4521, 1043, 2135, 8458, 8820, 2618, 1012, 2026, 2303, 2001, 13685, 2058, 5606, 1997, 5190, 1997, 2086, 2000, 2022, 2019, 18168, 3490, 25500, 3126, 1529, 1045, 1521, 1049, 2025, 2183, 2000, 7475, 2007, 2008, 1012, 2026, 3096, 12702, 16012, 4168, 2003, 2036, 6897, 2135, 7578, 1012, 1045, 2123, 1521, 1056, 2224, 7815, 2006, 2026, 2303, 1010, 1045, 2123, 1521, 1056, 4929, 2139, 7716, 18842, 2102, 1010, 1045, 2123, 1521, 1056, 15488, 14644, 12141, 2030, 19352, 24410, 2006, 2026, 2303, 1012, 1045, 6524, 2131, 3096, 15245, 2030, 2131, 5305, 1012, 1045, 5247, 1996, 2154, 2007, 2026, 2398, 1998, 2303, 1999, 3967, 2007, 7965, 13622, 1012, 1045, 7198, 2007, 4010, 2300, 1999, 1996, 6457, 1012, 1006, 1045, 2079, 2224, 25850, 24667, 1007, 1045, 5247, 2055, 1017, 1013, 1018, 1997, 2026, 2154, 1523, 4895, 24759, 15916, 5999, 1524, 2007, 2431, 2108, 2648, 1999, 3267, 1998, 1996, 2717, 2503, 2725, 4968, 3450, 1012, 1045, 2131, 7167, 1997, 6912, 1012, 1045, 2131, 7167, 1997, 3637, 1998, 4251, 2051, 2000, 2228, 1012, 2026, 2166, 2347, 1521, 1056, 2467, 2066, 2023, 1010, 2021, 1045, 2031, 2499, 2428, 2524, 2000, 2191, 2023, 4148, 1998, 1045, 2031, 2018, 2070, 6735, 2247, 1996, 2126, 1012, 2061, 2023, 2003, 1996, 2466, 1045, 2444, 1998, 2008, 1045, 2425, 2870, 1012, 1045, 2079, 2031, 2070, 2491, 1998, 2064, 2191, 9804, 2000, 2490, 2026, 2303, 2000, 2507, 2033, 1996, 2190, 3382, 1997, 2108, 7965, 1012, 3383, 2023, 3602, 2052, 2031, 2042, 2200, 2367, 2065, 1045, 2018, 1037, 2367, 11616, 1010, 2021, 1045, 2097, 6293, 2007, 2023, 2466, 1997, 2559, 2044, 2026, 2303, 2004, 2108, 2012, 2560, 2112, 1997, 1996, 3114, 2339, 1045, 2001, 2583, 2000, 27152, 2216, 4456, 4442, 1012, 2065, 1045, 2903, 2009, 1010, 2059, 2009, 2442, 2022, 2995, 1012, 2057, 2035, 2113, 2008, 2466, 2003, 2172, 2062, 3928, 2084, 8866, 1012, 2065, 8866, 13836, 2057, 2052, 2552, 2006, 4785, 2689, 1998, 2256, 4230, 2876, 1521, 1056, 2022, 19450, 2007, 11704, 12141, 1012, 4521, 7965, 1012, 4468, 1013, 5787, 5699, 1998, 15514, 2482, 5092, 10536, 7265, 4570, 1012, 4521, 10768, 10867, 14088, 9440, 1012, 4521, 2878, 9440, 1012, 4521, 1037, 12348, 8738, 1012, 4521, 7554, 2065, 2017, 2064, 1012, 4468, 13995, 2833, 1006, 4810, 9440, 2008, 2031, 2062, 2084, 1015, 21774, 2006, 1037, 3830, 1007, 1012, 5787, 4825, 2833, 4983, 2009, 2003, 1997, 1996, 3284, 3737, 1012, 4982, 1037, 3871, 1013, 2031, 1037, 3871, 5436, 1013, 2030, 2175, 2000, 6617, 6089, 1012, 2175, 2000, 2115, 5723, 1998, 14533, 2282, 1998, 2298, 2012, 2035, 2115, 3688, 1025, 9344, 3688, 1010, 2303, 3688, 1010, 2606, 3688, 1010, 14533, 3688, 1010, 4385, 1012, 2129, 2116, 2079, 2017, 2031, 1029, 2079, 2017, 2342, 2035, 1997, 2122, 2030, 2031, 2017, 2042, 5105, 2011, 5821, 2000, 2228, 2017, 1523, 2342, 1524, 2068, 1029, 3191, 1996, 12760, 1012, 2079, 2151, 1997, 2068, 2031, 24980, 2030, 17013, 1999, 2068, 1029, 3653, 8043, 20203, 6961, 1029, 2116, 1997, 2122, 2024, 5799, 2000, 7388, 4456, 1998, 2024, 2203, 10085, 11467, 23217, 2545, 1012, 2079, 2025, 2404, 2122, 2006, 2115, 2303, 2030, 3052, 2037, 11865, 7834, 1012, 5667, 1010, 2122, 2024, 11704, 1012, 4638, 2041, 1996, 2585, 14278, 3192, 6530, 6474, 2005, 1037, 4248, 4431, 2006, 2129, 2000, 3191, 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, 2190, 11820, 2283, 1998, 11820, 4184, 1999, 2358, 5004, 1010, 2821, 11820, 1999, 2358, 5004, 1010, 4058, 2003, 1037, 3218, 2008, 2003, 3352, 2200, 2691, 1012, 2009, 2003, 1037, 4424, 3218, 2008, 3774, 1997, 25620, 5826, 1997, 2048, 6062, 2005, 1037, 3348, 2283, 1012, 2004, 2009, 2003, 3591, 1010, 2009, 2003, 2025, 8690, 2004, 1999, 20740, 18605, 2012, 2035, 1010, 2144, 2035, 5381, 2920, 2024, 9619, 2075, 1012, 2009, 1005, 1055, 1037, 4145, 2008, 2064, 2022, 3243, 3697, 2000, 4632, 27605, 13806, 1010, 2926, 2043, 2017, 1005, 2128, 1996, 2785, 1997, 2711, 2040, 4076, 1996, 3513, 1999, 2673, 1012, 2021, 2054, 2017, 2031, 2000, 2562, 1999, 2568, 2012, 2023, 2391, 2003, 2008, 2725, 4689, 2477, 2013, 2051, 2000, 2051, 2003, 6827, 2000, 2108, 3407, 1998, 16829, 1012, 2116, 2111, 2031, 5319, 2023, 1010, 1998, 2008, 1005, 1055, 2054, 7607, 1996, 3652, 2193, 1997, 7370, 2545, 1010, 3251, 2009, 1005, 1055, 1999, 2358, 5004, 1010, 2821, 2030, 1999, 1996, 2717, 1997, 1996, 2088, 1012, 7370, 2545, 4184, 2005, 2023, 2785, 1997, 3218, 2031, 2042, 2580, 1010, 1998, 2027, 2024, 2145, 3652, 2061, 2008, 3071, 2064, 5770, 2013, 2068, 1012, 1996, 7370, 2545, 6062, 1999, 2358, 5004, 2097, 2022, 2583, 2000, 5454, 2000, 2175, 2000, 3182, 2066, 1024, 1996, 7370, 2545, 2252, 1010, 1037, 11820, 2252, 1010, 1037, 11820, 12403, 1010, 1037, 11820, 3347, 1010, 1037, 7842, 9521, 1010, 1037, 10654, 2863, 2213, 1998, 2116, 2500, 1012, 2035, 2122, 17228, 3749, 1996, 2168, 2326, 2087, 1997, 1996, 2051, 1010, 1998, 2024, 7218, 2005, 3087, 2040, 4122, 2000, 11092, 1996, 3513, 1997, 11820, 1012, 2017, 2097, 2022, 2583, 2000, 2444, 2047, 6322, 1998, 2202, 5056, 1997, 1996, 4495, 2000, 2131, 2000, 2113, 4426, 2488, 1010, 1998, 7523, 2054, 3084, 2017, 12581, 22512, 23086, 1012, 2004, 2057, 2411, 2360, 1010, 2017, 2196, 3926, 2893, 2000, 2113, 4426, 1012, 2635, 5056, 1997, 2019, 3325, 2007, 2178, 4256, 2064, 2393, 2017, 7523, 2047, 21378, 1010, 2047, 4460, 1998, 3033, 1997, 2115, 13336, 2008, 2017, 2134, 1005, 1056, 2113, 2017, 2018, 1012, 2023, 2047, 4256, 2097, 2031, 1037, 2367, 2126, 1997, 2635, 2017, 1999, 2035, 7826, 1010, 2000, 2079, 2007, 2017, 3649, 2002, 2030, 2016, 7777, 1012, 2061, 1010, 4699, 1029, 2092, 1010, 2065, 2017, 1005, 2128, 1037, 5470, 1997, 5622, 8296, 3170, 1998, 2062, 4919, 11820, 1010, 2017, 2342, 2000, 2707, 4083, 1037, 2210, 2062, 2055, 2009, 1012, 2059, 1010, 1999, 3820, 2007, 2115, 18591, 1010, 2017, 2097, 2022, 2583, 2000, 5454, 1996, 11820, 2173, 2030, 3348, 4184, 1999, 2358, 5004, 1996, 2087, 5967, 2005, 2017, 1012, 2023, 2097, 2022, 1037, 2307, 4495, 2000, 17688, 2039, 2115, 3348, 2166, 1998, 12992, 2115, 5622, 17062, 2080, 1012, 2054, 2003, 1037, 11820, 2252, 1999, 2358, 5004, 1010, 2821, 1029, 2004, 3855, 2682, 1010, 1996, 7370, 2121, 1005, 1055, 2252, 2003, 2498, 2062, 2084, 1037, 2173, 5967, 2000, 4424, 6078, 2008, 2024, 3294, 2041, 1997, 1996, 6623, 1012, 2009, 6160, 2015, 7370, 6062, 1998, 3895, 1010, 2040, 2272, 2000, 4503, 2037, 13798, 1998, 2037, 3716, 1999, 2023, 2492, 1012, 2023, 2785, 1997, 7370, 2173, 1999, 2358, 5004, 2064, 3749, 2195, 2578, 1998, 6666, 1010, 5834, 2006, 1996, 2028, 2017, 5454, 1012, 1999, 1037, 5622, 8296, 3170, 2030, 7370, 2545, 2252, 1010, 2017, 2097, 2022, 2583, 2000, 2079, 2505, 2017, 2066, 1010, 2007, 2035, 1996, 4424, 5826, 2017, 2024, 4699, 1999, 1998, 2514, 6296, 2000, 2017, 1012, 2017, 2323, 3568, 4468, 20661, 29204, 2135, 2030, 2108, 2205, 3082, 2007, 2252, 2372, 1010, 2138, 2065, 1996, 8432, 2003, 28309, 1010, 2009, 2180, 1005, 1056, 2022, 4072, 1012, 1999, 2804, 1010, 7565, 2024, 2081, 2000, 5676, 1996, 3808, 1997, 2372, 1998, 2000, 4468, 2151, 2785, 1997, 27719, 2015, 1012, 4390, 12088, 2097, 3568, 2031, 2053, 2173, 2012, 1996, 11820, 9356, 1012, 2017, 2097, 2022, 2583, 2000, 19837, 1996, 3193, 2004, 2146, 2004, 2017, 2066, 1998, 2000, 15544, 12325, 2115, 2159, 1012, 9308, 1010, 29536, 6672, 9496, 6491, 2003, 1037, 2691, 3218, 1999, 2023, 2785, 1997, 2173, 1012, 2174, 1010, 2009, 2003, 10386, 2000, 3543, 2030, 24665, 17635, 2065, 1996, 2060, 2711, 2515, 2025, 2507, 2017, 9619, 1012, 2070, 2111, 7166, 2000, 2903, 2008, 1996, 7370, 2545, 2252, 1999, 2358, 5004, 1010, 2821, 2003, 2941, 1037, 2173, 1997, 2139, 27773, 7474, 2100, 1998, 2139, 18098, 18891, 3723, 1012, 2023, 2003, 1037, 8689, 2008, 2064, 7461, 2070, 2372, 1010, 1998, 2008, 2003, 2339, 2027, 2424, 2009, 3697, 2000, 4748, 16874, 5562, 2037, 5779, 1999, 2107, 4184, 1012, 2054, 2017, 2342, 2000, 2113, 2182, 2003, 2008, 2108, 1037, 7370, 2121, 2030, 1037, 5622, 8296, 3170, 2003, 1037, 11476, 2166, 3601, 1010, 2029, 9041, 2069, 2006, 2017, 1998, 2115, 14714, 1012, 2053, 2028, 2323, 3568, 2514, 4709, 2000, 7499, 2017, 2030, 2191, 16646, 2015, 1012, 1999, 2151, 2553, 1010, 2065, 2017, 2123, 1005, 1056, 2215, 2000, 2695, 2009, 1010, 2017, 2123, 1005, 1056, 2031, 2000, 1012, 9308, 1010, 5761, 2024, 2579, 2000, 3499, 2017, 2000, 6976, 2122, 7370, 2545, 4184, 1999, 3143, 19258, 1010, 2096, 15224, 2115, 2019, 16585, 16383, 1012, 2035, 2017, 2031, 2000, 2079, 2003, 2424, 1996, 2190, 7370, 2545, 2252, 1999, 2358, 5004, 2030, 1999, 2115, 2181, 2000, 7523, 1996, 6569, 2015, 1997, 2023, 9580, 1012, 2023, 2126, 1010, 2017, 1005, 2128, 12361, 2000, 2424, 1996, 2190, 7370, 2545, 2252, 1999, 2358, 5004, 1010, 4058, 2000, 3046, 2007, 2115, 18591, 1012, 2122, 4573, 2024, 2200, 2367, 2013, 1996, 3722, 3809, 5306, 2609, 2017, 2109, 2000, 2224, 1012, 5262, 1010, 2027, 3499, 2017, 2000, 2191, 1037, 20355, 3116, 1010, 1037, 2522, 16377, 2099, 3116, 1010, 1037, 2460, 1011, 2973, 3116, 1010, 1999, 2460, 1010, 1037, 9573, 2100, 2655, 2302, 2062, 1012, 11820, 1999, 2358, 5004, 2003, 1037, 3218, 9235, 2005, 6062, 1012, 2065, 2017, 2024, 4699, 1999, 11820, 1010, 2059, 2023, 15980, 2008, 2017, 2024, 5117, 1010, 2030, 2012, 2560, 1999, 1037, 3276, 2007, 1037, 2711, 1012, 5262, 1010, 1996, 3800, 1997, 2023, 3218, 2003, 2000, 2191, 2019, 3863, 1997, 4256, 2000, 2191, 2293, 2007, 2060, 2111, 1012, 3568, 1010, 2017, 2097, 2025, 2022, 2583, 2000, 2079, 2009, 2065, 2017, 2024, 2309, 1012, 2061, 2005, 6062, 10261, 2000, 4503, 2037, 14253, 3716, 1010, 11820, 3849, 2000, 2022, 1996, 2190, 3601, 1012, 2017, 2097, 2022, 2583, 2000, 11092, 2060, 6078, 1997, 1996, 11820, 4184, 1999, 2358, 5004, 1010, 2821, 2000, 2191, 2115, 3348, 2166, 2062, 6387, 1998, 10990, 1010, 1998, 2017, 2097, 2022, 27594, 2102, 2005, 3601, 1012, 2174, 1010, 2077, 2017, 2175, 2151, 2582, 2091, 2023, 2346, 1010, 2017, 2342, 2000, 2031, 1037, 2613, 6594, 1010, 2302, 27505, 2015, 2030, 7695, 5051, 4817, 2006, 1996, 3395, 1012, 2023, 2097, 2022, 2019, 4495, 2005, 2017, 2000, 7523, 2115, 7972, 10908, 1998, 2000, 2113, 2054, 2000, 5987, 2320, 2017, 2024, 1999, 1996, 7370, 2545, 2252, 1012, 2023, 3325, 2097, 2022, 2200, 4372, 13149, 2075, 2005, 2017, 1010, 1999, 3327, 2000, 12992, 2115, 5622, 17062, 2080, 1012, 2017, 2097, 2947, 2022, 2583, 2000, 5770, 2013, 1037, 2062, 21570, 4424, 2166, 1012, 2017, 2097, 2022, 2583, 2000, 2444, 2035, 2115, 21233, 1998, 13225, 2115, 18575, 3367, 4424, 14714, 1012, 2035, 2017, 2097, 2031, 2000, 2079, 2000, 5959, 2009, 2003, 2000, 2131, 2000, 2113, 2060, 6062, 1999, 1996, 7370, 2545, 2252, 2017, 2031, 4217, 1999, 2358, 5004, 1012, 2059, 1010, 2017, 5454, 1037, 3232, 2008, 5426, 2017, 1010, 2593, 2005, 2037, 3558, 7045, 1006, 2502, 25671, 1010, 2502, 10338, 1010, 4385, 1012, 1007, 2030, 2005, 2037, 9677, 2217, 1012, 2065, 2027, 2024, 2036, 6296, 2000, 2017, 1010, 1996, 4256, 3863, 2064, 2202, 2173, 2077, 2169, 2047, 3232, 2064, 2552, 1998, 2191, 2293, 1012, 2023, 3218, 2003, 7218, 2005, 2151, 3232, 1010, 7539, 1997, 2115, 4424, 10296, 1012, 3251, 2009, 2003, 1037, 12170, 1010, 3442, 2030, 5637, 3232, 1010, 3071, 2097, 2022, 2583, 2000, 2424, 2037, 8404, 1012, 2009, 1005, 1055, 2019, 3325, 2008, 9023, 2000, 2116, 2138, 2009, 1005, 1055, 2019, 4495, 2000, 2131, 1037, 9573, 2100, 2655, 2030, 1037, 3348, 2655, 2007, 2115, 18591, 1005, 1055, 9619, 1012, 6600, 1010, 2017, 2031, 2000, 2022, 6176, 2025, 2000, 28679, 2023, 2112, 1997, 8239, 1999, 2358, 5004, 1010, 2821, 2007, 2062, 10305, 5346, 1010, 2138, 2000, 3325, 11820, 1999, 1037, 3232, 2017, 2031, 2000, 2022, 2583, 2000, 2156, 3348, 1998, 2293, 2004, 2048, 3294, 3584, 2477, 1012, 2065, 2017, 2123, 1005, 1056, 2514, 2583, 2000, 2079, 2023, 1010, 2059, 2017, 2323, 4468, 2383, 3348, 2007, 1996, 2034, 3232, 2008, 3310, 2247, 1010, 2012, 1996, 3891, 1997, 7386, 2075, 2115, 3276, 1012, 2065, 1010, 2006, 1996, 2060, 2192, 1010, 2017, 2024, 6135, 6625, 2007, 1996, 4145, 1010, 2017, 2064, 3113, 1996, 3232, 2017, 5454, 2648, 1996, 7370, 2545, 2252, 1012, 2017, 2097, 2022, 2583, 2000, 10939, 11820, 1999, 2358, 5004, 26256, 2015, 2030, 3450, 2005, 2176, 1010, 2000, 2131, 2000, 2113, 2169, 2060, 2488, 1012, 2030, 1996, 21304, 2126, 2003, 2000, 6293, 2000, 3348, 1010, 1996, 3116, 2090, 1037, 10338, 1998, 1037, 22418, 1998, 2498, 2062, 1012, 2054, 2003, 12731, 19665, 24573, 1999, 2358, 5004, 1010, 2821, 1029, 12731, 19665, 24573, 2003, 1037, 4424, 3218, 2008, 2038, 2764, 1037, 2843, 1999, 3522, 2086, 1999, 2358, 5004, 1012, 2009, 11138, 1996, 4792, 2008, 2028, 2064, 2514, 1010, 2000, 2156, 2028, 1005, 1055, 4256, 2383, 3348, 2007, 2178, 2711, 1012, 2009, 2003, 1037, 5622, 8296, 3170, 4424, 3218, 2008, 6526, 1999, 2048, 3596, 1012, 1996, 2034, 2003, 3432, 4760, 4620, 2030, 7760, 1997, 2028, 1005, 1055, 4256, 2000, 2060, 2111, 1010, 1999, 2344, 2000, 12098, 15441, 2037, 18905, 1012, 1999, 2023, 2553, 1010, 1996, 18591, 2003, 8510, 2000, 2265, 2125, 1996, 3558, 7045, 1997, 2010, 2030, 2014, 4256, 1010, 1998, 2000, 2191, 2060, 2111, 2215, 2000, 2031, 3348, 2007, 2032, 2030, 2014, 1012, 2023, 2544, 2003, 2062, 2030, 2625, 3730, 1010, 2144, 2009, 2515, 2025, 9125, 4424, 23198, 1012, 1996, 2117, 2544, 1010, 2006, 1996, 2060, 2192, 1010, 2003, 1996, 2028, 2008, 3774, 1999, 5378, 2028, 1005, 1055, 18591, 2000, 1037, 2353, 2711, 1010, 1998, 3666, 2068, 2031, 3348, 1012, 3666, 2178, 2158, 2030, 2450, 5959, 2037, 18591, 1006, 12731, 19665, 6392, 1007, 2064, 5525, 27895, 8277, 2030, 2130, 4424, 5165, 1999, 2070, 8771, 1997, 11820, 1999, 2358, 5004, 1012, 2023, 3218, 2064, 4025, 3243, 14888, 2005, 2070, 2111, 1010, 1998, 2023, 2003, 4089, 3305, 3085, 1012, 2005, 2023, 3114, 1010, 2077, 3772, 1010, 2169, 18591, 2323, 3198, 2370, 2030, 2841, 2055, 2010, 2030, 2014, 3167, 14714, 1998, 5346, 2055, 1996, 3663, 1012, 2079, 2025, 3499, 4426, 2000, 2022, 2579, 5056, 1997, 3432, 2138, 1996, 2060, 2038, 4081, 2009, 1010, 2138, 2044, 2035, 1010, 2115, 2092, 1011, 2108, 2003, 2012, 8406, 1012, 2054, 2003, 2093, 14045, 1999, 2358, 5004, 1010, 4058, 1029, 2093, 14045, 2003, 1037, 2200, 2691, 4424, 3218, 2122, 2420, 1012, 2009, 3774, 1997, 2437, 1037, 2093, 14045, 1010, 2004, 2009, 2003, 2411, 2056, 1010, 5716, 1037, 7146, 2000, 2191, 2293, 1998, 2031, 1996, 4495, 2000, 7523, 2047, 21378, 1012, 5834, 2006, 2115, 14714, 1998, 2115, 4424, 10296, 1010, 2017, 2064, 23569, 2005, 1037, 2093, 14045, 2081, 2039, 1997, 2048, 2273, 1998, 1037, 2450, 1010, 2030, 2048, 2308, 1998, 1037, 2158, 1012, 2023, 3218, 2064, 2022, 7531, 2011, 1996, 2158, 2030, 2011, 1996, 2450, 1010, 1998, 1999, 2169, 2553, 2017, 2064, 5463, 1024, 1011, 1037, 3313, 20015, 1997, 1996, 2450, 1010, 2083, 1996, 12436, 20876, 1998, 1996, 2019, 2271, 1010, 2011, 2048, 19085, 2229, 7453, 1012, 1011, 1037, 20015, 1997, 1996, 2158, 2011, 2178, 2158, 1010, 2096, 1996, 2034, 2158, 2036, 19136, 2015, 1996, 2450, 1012, 1011, 1037, 20015, 1997, 1996, 2450, 2011, 1996, 2158, 1010, 2096, 2016, 1005, 1055, 2108, 21473, 2011, 2178, 2450, 1012, 2045, 2024, 2116, 2060, 12020, 1010, 1998, 2115, 9647, 2097, 2022, 2115, 2069, 5787, 1012, 2065, 2017, 1005, 2128, 1037, 2450, 1998, 2017, 2066, 2000, 2377, 6530, 2030, 2202, 1996, 2535, 1997, 1996, 22889, 4904, 2076, 2115, 2293, 12614, 1010, 2023, 3218, 2097, 2022, 3819, 2005, 2017, 1012, 2017, 2097, 2022, 2583, 2000, 5454, 2000, 2022, 21746, 2011, 2048, 2273, 7453, 1010, 2045, 2003, 2498, 2488, 2000, 2514, 2066, 1037, 4424, 4874, 1998, 5959, 1996, 5165, 1997, 2273, 1005, 1055, 17882, 2058, 2017, 1012, 2005, 1037, 2158, 1010, 2093, 14045, 2064, 2022, 2019, 4495, 2000, 10580, 2035, 2010, 6819, 15928, 3012, 1998, 16137, 10841, 22153, 3723, 2011, 2667, 2000, 13225, 1996, 4424, 18923, 1997, 2048, 2308, 7453, 1012, 2023, 2003, 1037, 4119, 2008, 2062, 1998, 2062, 2273, 2514, 3201, 2000, 2202, 2039, 1010, 2004, 2009, 5836, 1037, 2613, 12992, 2000, 2037, 13059 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2468, 1037, 11394, 3353, 1999, 6045, 9515, 3077, 6751, 8130, 1996, 7812, 11394, 3353, 2565, 2379, 6045, 9515, 3077, 12098, 2003, 2019, 6827, 3988, 3357, 2646, 2927, 2115, 2047, 2476, 1999, 26556, 1012, 2021, 3188, 2000, 2437, 2115, 3601, 1010, 2017, 2342, 2000, 17908, 1998, 12826, 2115, 2082, 7047, 1012, 2045, 2003, 2521, 2062, 2000, 2725, 2115, 2349, 29454, 29206, 3401, 2084, 17739, 1996, 11394, 3353, 2267, 2007, 1996, 7290, 15413, 2030, 25612, 2075, 1999, 1996, 2028, 2008, 2003, 7541, 2000, 2115, 2188, 1012, 2045, 2024, 2060, 2590, 3314, 2000, 2202, 2046, 4070, 2004, 2092, 1010, 2164, 1996, 2082, 1521, 1055, 14893, 1998, 5891, 1012, 2115, 3988, 3357, 2003, 2000, 5630, 2029, 1997, 1996, 2048, 22496, 2017, 2024, 2087, 4699, 1999, 11381, 2731, 2005, 1010, 2029, 2089, 2022, 15445, 2006, 1996, 3815, 1997, 2051, 1998, 2769, 2008, 2017, 2024, 5627, 2000, 10797, 1012, 1996, 2087, 2691, 11394, 3353, 2565, 2788, 3138, 2055, 2260, 2706, 2000, 3143, 2005, 1037, 8196, 2030, 9827, 1012, 5564, 11394, 16838, 2089, 2036, 7796, 2019, 5482, 3014, 1010, 2029, 2064, 2202, 5973, 2013, 1016, 2000, 1017, 2086, 2000, 3926, 1012, 5525, 2007, 1996, 3091, 3771, 2731, 3310, 2062, 10961, 1012, 2057, 2097, 6848, 2035, 1997, 2122, 3314, 1998, 27024, 3980, 2008, 2017, 2342, 2000, 2022, 4851, 1996, 11394, 3353, 2816, 2017, 2024, 23208, 2101, 1999, 2023, 3720, 1012, 2021, 2034, 1010, 2292, 1521, 1055, 8849, 1996, 5704, 1997, 11394, 16838, 1998, 2582, 6848, 1996, 2731, 7047, 2800, 1012, 1996, 2535, 1997, 1037, 11394, 3353, 1999, 6045, 9515, 3077, 12098, 11394, 16838, 2024, 2019, 9897, 2112, 1997, 2151, 6045, 9515, 3077, 12098, 11394, 3218, 1998, 2064, 4685, 1037, 20889, 1997, 4972, 1012, 2037, 3078, 3105, 6412, 2003, 2000, 3073, 2490, 2000, 1996, 24385, 2015, 1998, 1996, 3831, 3095, 1012, 1999, 2060, 2616, 1010, 2000, 2393, 2562, 1996, 3218, 4082, 5147, 1012, 2116, 11394, 16838, 23569, 2000, 2569, 4697, 1998, 6855, 10618, 1999, 1037, 3563, 2181, 1010, 2005, 2742, 2558, 12162, 6558, 1012, 2130, 2061, 1996, 3484, 1997, 16838, 4685, 2151, 4611, 2008, 2027, 2024, 2356, 2000, 13883, 1010, 2107, 2004, 1024, 1011, 4292, 1998, 19195, 14651, 1011, 17463, 4691, 5022, 2005, 4091, 9344, 2015, 1998, 13441, 1011, 8225, 1998, 26261, 15928, 6026, 11394, 5693, 1011, 8430, 5022, 1521, 15076, 2007, 10514, 7542, 3941, 1011, 3228, 5693, 2000, 24385, 2015, 2076, 8853, 1011, 17463, 4691, 1060, 1011, 4097, 6681, 1998, 8304, 1060, 1011, 9938, 1011, 13131, 2436, 1998, 11394, 6067, 13202, 1998, 10618, 5918, 2005, 11394, 16838, 14386, 3686, 2011, 2110, 1010, 2061, 4638, 2007, 1996, 6751, 11394, 2604, 2005, 2115, 2110, 1521, 1055, 6043, 1012, 16838, 8304, 1060, 1011, 4097, 6681, 2062, 2084, 3497, 2097, 2342, 2000, 2022, 7000, 1998, 7378, 1012, 2116, 11394, 16838, 2040, 2024, 2593, 3223, 2030, 11322, 2000, 2468, 7378, 2202, 1996, 7378, 11394, 3353, 1006, 3729, 2050, 1007, 7749, 3253, 2011, 1996, 11394, 13951, 2120, 2604, 1006, 4907, 2497, 1007, 1012, 11394, 3353, 2495, 3454, 2379, 6045, 9515, 3077, 12098, 11394, 3353, 5352, 2024, 3253, 2012, 6751, 2451, 6667, 2004, 2092, 2004, 4087, 2030, 13099, 2816, 1012, 2004, 3130, 3855, 1010, 1996, 2087, 6976, 13675, 14728, 19909, 3687, 2003, 1996, 8196, 1010, 2029, 3227, 3138, 2055, 2028, 2095, 2000, 3926, 1012, 2045, 2024, 2625, 5482, 3014, 3454, 3253, 1010, 1998, 2027, 6519, 24014, 1037, 2062, 7721, 2495, 1010, 2164, 2236, 5739, 1999, 2804, 2000, 1996, 11394, 3353, 5352, 1012, 2122, 3454, 2064, 2202, 5973, 2013, 1016, 2000, 2004, 2146, 2004, 1017, 2086, 2000, 3926, 1998, 2442, 2022, 11459, 2011, 1996, 3729, 2050, 1999, 8990, 2296, 2110, 1012, 2027, 2024, 2036, 3253, 1999, 6751, 13099, 2816, 1998, 2451, 6667, 1012, 7539, 1997, 3251, 2017, 2024, 4699, 1999, 7414, 1037, 8196, 2030, 1037, 3014, 2004, 1037, 11394, 3353, 1010, 2045, 2097, 2022, 1037, 6742, 6922, 2000, 1996, 2731, 2004, 2092, 1012, 1037, 2193, 1997, 3454, 2036, 3749, 22676, 2015, 2007, 6045, 9515, 3077, 12098, 11394, 6078, 2030, 24385, 2015, 1012, 3784, 11394, 3353, 4280, 25612, 2075, 1999, 2019, 3784, 11394, 3353, 2082, 2064, 2022, 1037, 14874, 5724, 2005, 11381, 2115, 2495, 1012, 2074, 3342, 2008, 1996, 2565, 2097, 2025, 2022, 2531, 1003, 3784, 1010, 2144, 2045, 2097, 2022, 1037, 6612, 4664, 2000, 2115, 2731, 1012, 2021, 1996, 5703, 1997, 2115, 4280, 2097, 2022, 7801, 2011, 2965, 1997, 2115, 3167, 3274, 1999, 1996, 7216, 1997, 2115, 6045, 9515, 3077, 12098, 2188, 2030, 5973, 2842, 2006, 2115, 12191, 2030, 13855, 1012, 2005, 2216, 2551, 2096, 7052, 2082, 1010, 3784, 11394, 4280, 2191, 2495, 2172, 2062, 7801, 1012, 2116, 2089, 2130, 2031, 2896, 15413, 9883, 2084, 2037, 3151, 10159, 1012, 1998, 2794, 11727, 2107, 2004, 2005, 4012, 28120, 2075, 1010, 2808, 1998, 2082, 6067, 2089, 2022, 4359, 2036, 1012, 1996, 6612, 2731, 2064, 2411, 2022, 2864, 2012, 2019, 2181, 11394, 3218, 2030, 1999, 2019, 2006, 1011, 3721, 6845, 1012, 2007, 2119, 1996, 3784, 1998, 6612, 2731, 1010, 2673, 3223, 2000, 6855, 1996, 6413, 2495, 2003, 19851, 1012, 2065, 2017, 2031, 1996, 9009, 2005, 2023, 4118, 1997, 2495, 1010, 2017, 2453, 2424, 2008, 25612, 2075, 1999, 2019, 3784, 11394, 1044, 2100, 11239, 26942, 2082, 2003, 1996, 2157, 3601, 2005, 2017, 1012, 3980, 2000, 3104, 2007, 11394, 3353, 2816, 2044, 2017, 2031, 3856, 1996, 11394, 28031, 1998, 2828, 1997, 13675, 14728, 19909, 2017, 4299, 2000, 18759, 1010, 2017, 2064, 2707, 1996, 7709, 1997, 13599, 6751, 2816, 1998, 3454, 1012, 2004, 2057, 6936, 2012, 1996, 3098, 1997, 2023, 3720, 1010, 2116, 2493, 2707, 2011, 2559, 2012, 1996, 3295, 1998, 1996, 3465, 1997, 1996, 2816, 1012, 3383, 2027, 3945, 2005, 2195, 3784, 7047, 2004, 2092, 1012, 2130, 2295, 2122, 2089, 2022, 3278, 3988, 16852, 1010, 2045, 2024, 2195, 3176, 3980, 2008, 2017, 2323, 3198, 1997, 1996, 6045, 9515, 3077, 12098, 2181, 3454, 2017, 2024, 13599, 1999, 2344, 2000, 2191, 2019, 6727, 3247, 1012, 2646, 2008, 2203, 1010, 2057, 2031, 2443, 1037, 2862, 1997, 3980, 2000, 6509, 2017, 2007, 2115, 9312, 1998, 7209, 4989, 1997, 1996, 7812, 11394, 1044, 2100, 11239, 26942, 2267, 2005, 2017, 1012, 2003, 1996, 11394, 3353, 2082, 11459, 1029, 2045, 2024, 2195, 2590, 4436, 2339, 2017, 2323, 2069, 25612, 1999, 2019, 11459, 11394, 3353, 2267, 1012, 2065, 2017, 2024, 2183, 2000, 2468, 7000, 2030, 7378, 1010, 2059, 14893, 2003, 1037, 4650, 1999, 8990, 2035, 2163, 1012, 1999, 2344, 2000, 2202, 1996, 7378, 11394, 3353, 11360, 1010, 2115, 11394, 2267, 2442, 2022, 11459, 2011, 1996, 3222, 2006, 11394, 14893, 1006, 3729, 2050, 1007, 1012, 14893, 2036, 7126, 11302, 2008, 1996, 7899, 2017, 2131, 2003, 7721, 1998, 1997, 1996, 3284, 3737, 1012, 12433, 1999, 6045, 9515, 3077, 12098, 4050, 4792, 2030, 5478, 2008, 3105, 17362, 2024, 10845, 1997, 11459, 6667, 1012, 1998, 2633, 1010, 2065, 2017, 2024, 17942, 3361, 4681, 2030, 1037, 3076, 5414, 1010, 2411, 2027, 2024, 2025, 6855, 3085, 2005, 2512, 1011, 11459, 6751, 3454, 1012, 2003, 1996, 2157, 11394, 2565, 2800, 1029, 2017, 2064, 23569, 2000, 3345, 2000, 2468, 1037, 11394, 3353, 2011, 7414, 2593, 1037, 8196, 2030, 2019, 5482, 3014, 1012, 2074, 2191, 2469, 2008, 1996, 6045, 9515, 3077, 12098, 2267, 2017, 7276, 4107, 1996, 2565, 2008, 1521, 1055, 2157, 2005, 2017, 1012, 2174, 1010, 2562, 1999, 2568, 2008, 2130, 2065, 1037, 2082, 2038, 2019, 6581, 5891, 1998, 14893, 2515, 2025, 2812, 2169, 2028, 1997, 2049, 3454, 2079, 2004, 2092, 1012, 2005, 2742, 1010, 2019, 11459, 2267, 2089, 2031, 1037, 5024, 11459, 11394, 1044, 2100, 11239, 26942, 2565, 1010, 2021, 2071, 2031, 1037, 15863, 2030, 2512, 1011, 11459, 11394, 3353, 2565, 1012, 2061, 2065, 2017, 2024, 2069, 4699, 1999, 1037, 11394, 3353, 3014, 1010, 5525, 2009, 2052, 2025, 2022, 1996, 2157, 2267, 2005, 2017, 1012, 2003, 11706, 6742, 2731, 3024, 1029, 6742, 2030, 6612, 2731, 2003, 2019, 2590, 2112, 1997, 2151, 11394, 2731, 2565, 1012, 2023, 4324, 2995, 2005, 1996, 3784, 2082, 7047, 2004, 2092, 1012, 1037, 2193, 1997, 11394, 6667, 2031, 13797, 2007, 3164, 11394, 6078, 1998, 17865, 2008, 3073, 6742, 2731, 2005, 2037, 2493, 1012, 2009, 1521, 1055, 2025, 2069, 6827, 2008, 1996, 2082, 2017, 5454, 3640, 11706, 6612, 2847, 2021, 2036, 3640, 2068, 1999, 1996, 2785, 1997, 3218, 2008, 2017, 4821, 2052, 2066, 2000, 2147, 1999, 1012, 2004, 2019, 2742, 1010, 2065, 2017, 2024, 4699, 1999, 1037, 2476, 1999, 23614, 26556, 1010, 20410, 2008, 1996, 6045, 9515, 3077, 12098, 2181, 2267, 2017, 25612, 1999, 4107, 6612, 9963, 1999, 2019, 2181, 11394, 3218, 2008, 16997, 1999, 11394, 2578, 2005, 2336, 1012, 2024, 22676, 2015, 2800, 1029, 2424, 2041, 2065, 1996, 11394, 2816, 2017, 2024, 11131, 2031, 2019, 22676, 2565, 1012, 22676, 2015, 2024, 17319, 1996, 2087, 4621, 2965, 2000, 2131, 2398, 1011, 2006, 1010, 6742, 3325, 1999, 1037, 2613, 6045, 9515, 3077, 12098, 11394, 3218, 1012, 2027, 2191, 2009, 6082, 2005, 2493, 2000, 6653, 2013, 1996, 9373, 2000, 1996, 6742, 1012, 2027, 2064, 2036, 2393, 2493, 3857, 2551, 6550, 1999, 1996, 2658, 11394, 2451, 1012, 1998, 2027, 2024, 8702, 2006, 13746, 2015, 2036, 1012, 2003, 3105, 11073, 5375, 19851, 1029, 2087, 2493, 2008, 2031, 3852, 2013, 11394, 3353, 6667, 2342, 5375, 2893, 2037, 2034, 3105, 1012, 2424, 2041, 2065, 1996, 6667, 2017, 2024, 15252, 2031, 3105, 11073, 3454, 1010, 1998, 2054, 2037, 3105, 11073, 6165, 2024, 1012, 3454, 2007, 3020, 3105, 11073, 6165, 2763, 2031, 6581, 5891, 2015, 2306, 1996, 6045, 9515, 3077, 12098, 11394, 2451, 2004, 2092, 2004, 5041, 6125, 1997, 10402, 2073, 2027, 2064, 6523, 2037, 2493, 2005, 6107, 2030, 22676, 2015, 1012, 2024, 12463, 2235, 1029, 2424, 2041, 2013, 1996, 6045, 9515, 3077, 12098, 2181, 3454, 2017, 2024, 23208, 2129, 2502, 4050, 2037, 12463, 2024, 1012, 1996, 3760, 4280, 7166, 2000, 3749, 1037, 2062, 10305, 4044, 2005, 2731, 2073, 2493, 2031, 3618, 3229, 2000, 1996, 19922, 1012, 18868, 1010, 3469, 4280, 7166, 2000, 2022, 17727, 18617, 2389, 1998, 3073, 2210, 2028, 1011, 2006, 1011, 2028, 7899, 1012, 2065, 22945, 1010, 2424, 2041, 2065, 2017, 2064, 5463, 1037, 2261, 4280, 2012, 1996, 2267, 2008, 2017, 2024, 2087, 4699, 1999, 2061, 2008, 2017, 2064, 3325, 2034, 2192, 1996, 3014, 1997, 8290, 2090, 2493, 1998, 5089, 2077, 2437, 1037, 8426, 1012, 2054, 2003, 1996, 3452, 10961, 1997, 1996, 2565, 1029, 11394, 3353, 2731, 2064, 8137, 1999, 3465, 2241, 2006, 1996, 9367, 1997, 1996, 2565, 1998, 1996, 3815, 1997, 6742, 2731, 3024, 1012, 2060, 10857, 1010, 2107, 2004, 1996, 5891, 2015, 1997, 1996, 2816, 1998, 3251, 2027, 2024, 2270, 2030, 2797, 2036, 2272, 2046, 2377, 1012, 2021, 1999, 2804, 2000, 1996, 15413, 2045, 2024, 2060, 3278, 11727, 2029, 2064, 5587, 2039, 1012, 2027, 2064, 2421, 11727, 2005, 2107, 2477, 2004, 4012, 28120, 2075, 1998, 18841, 2004, 2092, 2004, 2082, 4475, 1010, 3941, 1998, 6067, 1012, 2061, 2043, 13599, 1996, 3465, 1997, 2816, 1010, 2123, 1521, 1056, 5293, 2000, 5587, 2035, 1997, 1996, 11727, 3141, 2000, 2115, 2495, 1012, 2087, 6667, 2031, 3361, 4681, 4822, 1010, 2061, 2191, 2469, 2000, 2424, 2041, 2054, 2003, 3253, 2004, 2521, 2004, 10940, 1010, 8624, 1998, 15691, 1999, 6045, 9515, 3077, 12098, 1012, 2024, 1996, 4280, 7801, 1029, 2077, 25612, 2075, 1999, 1037, 11394, 2082, 1010, 2017, 2342, 2000, 20410, 2008, 1996, 3353, 2565, 4107, 4280, 2008, 4906, 2115, 6134, 1012, 2023, 2003, 3391, 2995, 2065, 2017, 3613, 2551, 2096, 13868, 2115, 2495, 1998, 2342, 2000, 2175, 2000, 4280, 2379, 2115, 6045, 9515, 3077, 12098, 2188, 1999, 1996, 16241, 2030, 2006, 13499, 1012, 1998, 2130, 2065, 2017, 7276, 2019, 3784, 2082, 1010, 2017, 2097, 2145, 2342, 2000, 6134, 2115, 6612, 2731, 4280, 1012, 2036, 1010, 2096, 2437, 2115, 27050, 1010, 3198, 2054, 1996, 2191, 1011, 2039, 8778, 2003, 2065, 2017, 2323, 2342, 2000, 3335, 2151, 4280, 2349, 2000, 7355, 1010, 2147, 2030, 2155, 3314, 1012, 6195, 7052, 11394, 3353, 2082, 2379, 6045, 9515, 3077, 12098, 1029, 2206, 2003, 2070, 5875, 4281, 2592, 2055, 6045, 9515, 3077, 6751, 2008, 2017, 2089, 2424, 14044, 1012, 4261, 26724, 6143, 7421, 3704, 1996, 4261, 2549, 22434, 2001, 6055, 2007, 1996, 1048, 21693, 1011, 2423, 2278, 16537, 2462, 18725, 19630, 7421, 1006, 24582, 25526, 1007, 1010, 2007, 1037, 3260, 1997, 4517, 28283, 24413, 1012, 1996, 3704, 2001, 27118, 6895, 16952, 2094, 2004, 2112, 1997, 1996, 4403, 5833, 1997, 1996, 16537, 2462, 24582, 25526, 2006, 2321, 2257, 3069, 1012, 1996, 3704, 2001, 8878, 1999, 2220, 3758, 1999, 9795, 2004, 1037, 2146, 1011, 2846, 1038, 1011, 2484, 5622, 5677, 8844, 10400, 3704, 2004, 2112, 1997, 1996, 2117, 2250, 2486, 1012, 2005, 2093, 2706, 2210, 2731, 4158, 2096, 1996, 3131, 2499, 2083, 2049, 3652, 20398, 1010, 29304, 3831, 1998, 5073, 7654, 8190, 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, 2057, 2031, 2699, 2256, 2190, 2000, 3437, 2035, 2115, 3980, 2182, 1010, 2021, 1999, 2553, 2057, 4771, 2242, 1010, 3531, 2514, 2489, 2000, 2507, 2149, 1037, 2655, 2030, 5607, 2149, 2019, 10373, 2057, 2052, 2022, 3407, 2000, 3437, 2151, 3980, 2017, 2089, 2031, 4953, 2256, 7661, 21881, 1998, 2151, 2060, 2578, 2057, 3073, 1999, 1996, 9894, 1010, 17833, 1998, 1996, 2642, 3448, 2181, 1012, 2054, 2024, 2115, 2847, 1997, 3169, 1029, 2057, 2024, 2330, 1021, 2420, 2566, 2733, 6928, 1011, 5958, 1022, 1024, 2382, 3286, 1011, 1023, 1024, 27995, 5095, 1998, 4465, 1023, 1024, 4002, 3286, 1011, 1020, 1024, 27995, 1006, 8138, 2101, 2335, 2800, 1007, 2073, 2024, 2017, 2284, 1029, 2057, 2024, 2284, 2012, 25621, 2475, 1048, 6038, 5867, 2457, 7621, 16798, 1010, 9894, 1010, 12436, 1012, 10545, 16068, 1012, 2023, 2003, 1999, 1996, 9894, 2658, 2415, 1999, 1996, 5465, 2380, 2181, 1997, 9894, 1012, 2023, 2003, 2284, 2006, 1996, 8413, 1997, 8226, 14647, 16428, 1998, 5291, 16428, 1012, 2057, 2024, 1016, 2661, 2125, 1996, 5583, 4576, 1997, 1996, 8226, 14647, 16428, 2225, 6164, 1012, 2057, 2024, 2408, 1996, 2395, 1006, 5291, 16428, 1007, 2013, 1996, 5465, 2380, 5016, 6023, 2415, 1012, 2045, 2003, 7564, 1997, 5581, 2800, 2000, 2017, 12599, 1000, 5776, 5581, 2069, 1000, 1012, 3531, 4607, 2083, 1996, 2364, 4211, 2006, 1996, 2392, 1997, 1996, 2311, 2083, 1996, 3221, 4443, 4303, 1012, 2320, 2503, 1996, 16683, 1010, 2132, 2039, 1996, 5108, 1012, 14262, 10497, 11514, 3012, 25860, 2996, 2003, 1996, 2069, 2341, 2012, 1996, 2327, 1997, 1996, 4084, 1012, 7683, 2996, 1011, 1011, 4720, 2581, 2475, 1048, 6038, 5867, 14931, 7621, 3263, 2256, 2047, 7683, 2996, 2003, 2284, 1999, 2311, 3495, 2369, 2256, 2364, 2996, 1012, 2380, 2012, 1996, 2157, 2217, 2203, 1997, 1996, 2311, 1012, 2272, 2039, 1996, 5108, 2090, 1996, 1016, 3121, 2000, 1996, 3416, 2723, 1012, 2298, 2005, 4720, 2581, 2475, 1012, 2057, 2024, 2503, 1999, 7621, 3263, 1012, 2054, 2003, 2115, 16990, 3343, 1029, 5741, 3431, 1999, 16990, 3343, 2065, 2017, 2024, 3110, 5305, 1010, 3531, 17542, 2115, 6098, 2157, 2185, 2302, 3571, 1997, 2108, 18476, 3550, 1012, 1011, 3531, 3046, 2000, 2507, 2149, 2004, 2172, 5060, 2004, 2825, 1012, 2053, 2265, 1013, 2053, 4455, 2097, 2145, 2022, 5338, 1011, 2074, 3531, 4847, 2256, 2051, 1998, 2017, 2031, 2053, 15508, 1012, 2057, 2113, 2115, 2051, 2003, 7070, 1010, 2004, 2003, 14635, 1012, 2043, 2017, 6134, 2019, 6098, 1010, 2057, 2024, 24501, 25164, 1037, 19294, 1010, 1996, 2282, 1998, 2256, 2943, 2005, 2017, 1998, 2069, 2017, 1012, 2053, 2028, 2842, 2064, 2272, 1999, 1998, 2202, 2008, 2051, 2013, 2017, 1012, 2061, 1010, 2065, 2017, 17542, 2012, 1996, 2197, 3371, 1010, 2017, 2562, 2619, 2842, 2013, 2108, 2583, 2000, 5770, 2013, 2256, 2578, 1998, 2017, 4254, 1996, 19294, 2015, 3754, 2000, 7796, 1037, 2542, 1012, 2004, 1037, 2765, 1997, 2023, 1010, 2057, 2031, 1037, 2484, 3178, 16990, 3343, 1012, 2057, 3305, 2008, 20283, 2689, 1998, 2477, 2272, 2039, 1010, 2021, 2057, 3198, 2008, 2065, 2017, 2079, 2342, 2000, 24501, 7690, 9307, 2019, 6098, 2008, 2017, 2079, 2061, 2007, 2012, 2560, 2484, 2847, 5060, 1012, 2065, 2057, 2031, 2115, 10373, 4769, 1010, 2017, 2097, 4374, 2019, 6098, 13964, 10373, 4466, 2847, 3188, 2000, 2115, 6098, 2051, 1012, 2017, 2031, 2484, 2847, 2013, 1996, 24306, 1997, 2008, 10373, 2000, 12210, 3251, 2017, 2064, 2272, 1999, 2030, 2025, 1012, 2065, 2017, 2024, 2583, 2000, 2562, 2115, 6098, 2051, 1010, 3531, 11562, 1996, 4957, 1999, 1996, 10373, 2000, 2292, 2149, 2113, 1012, 2065, 2017, 2024, 4039, 2000, 2191, 2115, 6098, 1010, 2017, 2064, 7514, 2067, 2000, 2008, 10373, 1998, 2292, 2149, 2113, 1010, 2175, 3784, 1998, 17542, 2009, 4426, 1010, 2030, 2507, 2149, 1037, 2655, 1998, 2292, 2149, 2113, 1012, 3432, 2025, 22042, 1996, 4957, 1010, 2515, 2025, 17542, 2115, 6098, 1012, 2065, 2017, 2024, 4039, 2000, 2191, 2115, 6098, 1998, 2009, 2003, 2306, 1996, 2484, 3178, 3332, 1010, 2017, 2097, 2022, 5338, 2005, 2115, 6098, 2241, 2006, 1996, 2206, 1024, 2065, 2017, 2442, 17542, 1998, 2009, 2003, 2306, 1996, 2484, 3178, 2558, 1010, 2057, 3914, 1996, 2157, 2000, 3715, 2115, 4923, 4003, 2005, 2753, 1003, 1997, 1996, 3949, 3976, 1012, 2065, 2017, 2064, 4604, 2619, 1999, 2115, 2173, 1010, 2030, 2057, 2064, 6039, 2008, 6098, 2051, 1010, 2059, 2017, 2097, 2025, 2022, 5338, 2005, 1996, 8014, 6098, 1012, 2005, 2053, 3065, 1013, 2053, 4455, 2030, 4455, 2306, 1018, 2847, 1997, 2115, 6098, 2051, 1010, 2057, 3914, 1996, 2157, 2000, 3715, 2115, 4923, 4003, 1996, 2440, 3815, 1997, 1996, 3949, 3976, 1012, 2065, 2017, 6134, 2019, 6098, 2005, 2028, 9367, 1998, 2059, 2012, 1996, 2197, 3371, 2342, 2000, 2460, 2368, 1996, 6098, 1010, 2017, 2097, 2022, 5338, 2005, 1996, 2440, 3976, 1997, 1996, 2434, 6098, 1012, 2065, 2017, 7180, 2397, 2005, 2115, 5115, 6098, 2051, 1010, 2057, 2097, 2079, 2256, 2200, 2190, 2000, 2145, 3073, 2017, 2007, 2115, 2440, 6098, 1012, 2174, 1010, 2065, 2115, 16985, 10672, 4757, 3084, 2009, 5263, 2000, 3143, 1996, 2440, 2326, 1010, 2017, 2024, 2145, 3625, 2005, 1996, 2440, 7408, 1997, 1996, 2326, 2017, 2761, 5115, 1012, 2054, 2003, 2115, 3343, 2005, 2397, 2791, 1029, 3531, 2933, 2000, 7180, 2184, 1011, 2321, 2781, 3188, 2000, 2115, 5115, 6098, 2051, 1012, 2023, 2097, 2393, 2507, 2017, 1037, 2051, 17698, 1999, 1996, 2724, 1997, 9223, 4026, 2004, 2092, 2004, 2507, 2017, 2051, 2000, 21933, 8737, 8303, 3188, 2000, 2115, 21881, 1998, 6039, 2041, 2151, 4072, 17397, 1012, 2065, 2017, 2079, 2424, 4426, 2770, 1037, 2978, 2397, 1998, 2514, 2008, 2017, 2089, 7180, 2397, 2005, 2115, 6098, 1010, 3531, 2655, 2149, 2012, 5401, 2487, 1011, 20335, 1011, 10630, 2692, 1998, 2292, 2149, 2113, 1012, 1999, 1996, 2724, 2008, 2017, 2024, 2397, 1010, 2057, 2097, 2191, 2296, 3947, 2000, 2507, 2017, 2115, 2440, 6098, 2051, 1012, 4406, 2070, 3182, 1010, 2057, 2338, 1037, 2382, 3371, 7233, 2051, 1999, 2090, 2169, 6098, 1012, 2023, 4473, 2149, 1037, 2210, 24405, 9354, 2282, 2043, 2009, 3310, 2000, 2707, 1998, 3926, 2335, 1012, 2174, 1010, 2057, 2079, 2342, 2000, 2203, 1996, 6098, 2007, 2012, 2560, 2184, 1011, 2321, 2781, 2077, 2256, 2279, 6098, 2000, 3499, 2005, 2635, 7909, 1010, 3331, 2000, 2256, 6919, 7846, 1998, 8225, 2005, 2256, 2279, 7396, 1012, 2256, 3125, 2003, 1037, 19613, 3893, 3325, 1010, 2025, 1037, 6911, 2041, 1010, 6760, 3325, 2005, 2017, 1012, 2074, 2562, 2149, 6727, 1998, 2057, 2097, 2079, 2256, 2190, 2000, 2079, 1996, 2190, 2005, 2017, 1012, 2096, 2057, 2097, 2079, 2256, 2190, 2000, 3073, 2115, 2440, 2326, 1999, 1996, 2724, 1997, 2115, 16985, 10672, 4757, 1010, 2065, 2115, 16985, 10672, 4757, 3084, 2009, 5263, 2000, 3143, 1996, 2440, 2326, 1010, 2017, 2024, 2145, 3625, 2005, 1996, 2440, 7408, 1997, 1996, 2326, 2017, 2761, 5115, 1012, 2339, 2079, 2017, 5478, 1037, 4923, 4003, 2030, 25430, 2015, 5592, 8196, 2000, 6134, 2019, 6098, 1029, 1999, 2344, 2000, 5851, 2115, 6098, 2051, 1010, 2057, 2079, 5478, 2017, 2000, 3073, 1037, 9398, 4923, 4003, 2030, 1037, 25430, 2015, 5592, 8196, 2008, 4472, 2008, 2440, 3465, 1997, 2115, 2326, 1012, 2057, 2079, 2023, 2000, 4047, 1996, 2051, 1997, 2256, 19294, 2015, 1012, 6854, 1010, 2045, 2024, 2111, 2040, 6134, 14651, 1998, 2059, 2593, 17542, 2197, 3371, 2030, 2074, 2123, 1005, 1056, 8572, 2000, 2265, 2039, 1012, 2023, 13403, 14262, 10497, 11514, 3012, 25860, 2996, 2004, 1037, 2878, 1010, 1996, 3265, 19294, 1998, 2035, 1997, 2256, 2060, 7846, 2030, 4022, 7846, 1012, 2054, 2065, 2017, 2359, 2000, 2272, 1999, 2021, 2045, 2001, 2498, 2800, 1010, 1998, 2059, 2619, 1000, 2053, 3065, 1000, 2037, 5115, 6098, 1012, 2017, 2071, 2031, 2018, 2019, 6098, 1010, 2065, 2027, 2018, 9768, 2256, 2051, 1012, 2057, 5478, 4923, 2592, 2012, 1996, 2051, 1997, 21725, 2000, 2022, 2583, 2000, 16306, 2256, 16990, 3343, 1006, 2156, 2682, 1007, 2115, 4923, 4003, 3475, 1005, 1056, 5338, 2012, 1996, 2051, 1997, 21725, 1010, 2021, 2009, 2097, 2022, 9362, 1012, 2023, 2003, 2200, 2714, 2000, 2108, 3223, 2000, 3073, 1037, 4923, 4003, 2000, 2907, 1037, 3309, 11079, 1012, 2043, 2017, 3143, 2115, 6098, 1010, 2017, 2064, 3477, 2005, 2115, 2578, 2478, 2151, 2433, 1997, 3970, 7909, 1012, 2017, 2123, 1005, 1056, 2342, 2000, 2224, 1996, 4923, 4003, 2017, 3322, 3024, 1012, 2065, 2017, 2562, 2115, 6098, 2030, 17542, 1999, 1037, 2051, 8335, 2007, 2256, 16990, 3343, 1010, 2059, 2017, 2031, 2498, 2000, 4737, 2055, 4953, 4346, 2115, 2592, 1012, 2065, 2017, 8246, 2000, 17542, 2115, 6098, 1999, 1037, 23259, 5450, 2030, 2074, 2123, 1005, 1056, 2265, 2039, 1010, 2115, 4923, 4003, 2097, 2022, 5338, 2030, 1996, 5592, 8196, 2097, 2022, 2417, 21564, 2098, 1012, 2057, 2079, 3305, 2008, 1999, 2023, 2287, 1997, 25883, 4767, 11933, 1010, 2008, 2017, 2089, 2022, 1037, 2210, 8796, 4346, 2023, 18558, 2000, 1037, 7985, 2058, 1996, 3042, 1012, 2057, 3305, 2008, 1012, 2065, 2017, 9544, 2000, 2025, 3073, 2058, 1996, 3042, 1010, 2017, 2064, 5121, 6134, 2478, 2256, 3784, 21725, 2291, 1012, 2017, 2097, 2145, 2022, 3223, 2000, 3073, 2115, 4923, 4003, 2592, 1010, 2021, 2017, 2097, 2022, 1996, 2028, 7953, 2075, 1996, 2951, 1012, 2178, 5724, 2052, 2022, 2000, 5309, 1037, 5592, 8196, 3784, 1010, 2030, 2011, 2746, 1999, 2000, 1996, 2996, 1998, 2478, 1996, 5592, 8196, 2000, 2907, 2115, 6098, 2051, 1012, 2054, 2003, 2115, 3343, 4953, 3576, 2336, 2004, 7846, 1029, 2057, 2097, 24986, 2147, 2006, 1037, 3576, 2775, 1999, 2342, 1997, 21881, 1010, 2007, 9259, 1024, 3576, 2442, 2022, 2012, 2560, 2184, 2086, 2214, 1012, 6687, 2030, 6697, 2442, 3961, 1999, 2282, 2007, 3576, 2775, 2012, 2035, 2335, 1012, 2057, 2442, 2022, 19488, 1999, 5083, 2065, 7396, 2003, 2104, 2324, 2086, 2214, 1998, 2022, 4844, 2011, 19294, 1012, 2070, 1997, 2256, 3287, 19294, 2015, 9544, 2000, 2025, 2147, 2006, 3576, 2931, 7846, 1010, 2061, 3531, 2191, 2469, 2000, 2025, 8757, 2149, 1999, 5083, 2065, 7396, 2003, 2104, 2324, 1012, 4728, 1010, 2045, 2089, 2022, 1037, 6061, 2008, 1996, 2326, 2097, 2025, 2022, 2864, 1012, 2054, 2065, 1045, 2131, 8796, 2076, 2026, 3949, 1029, 2057, 2467, 9120, 2115, 11186, 1998, 12247, 1012, 2096, 2057, 2089, 2022, 1996, 8519, 2006, 21881, 1010, 2017, 2024, 1996, 6739, 2006, 2017, 1010, 1998, 2009, 2003, 2115, 21881, 1012, 2115, 7216, 1998, 3325, 2003, 2256, 2327, 9470, 1012, 2673, 2013, 2189, 2828, 1010, 3872, 1010, 2282, 4860, 1010, 2795, 4860, 1010, 6466, 1997, 1996, 2227, 18293, 2003, 26404, 2000, 2115, 16663, 1012, 2115, 19294, 2097, 2196, 2022, 15807, 2065, 2017, 2191, 1037, 5227, 2000, 2735, 2039, 1996, 3684, 1010, 5587, 1037, 8768, 1010, 2030, 14171, 1996, 2795, 1010, 3778, 2030, 2189, 2076, 2115, 5219, 1012, 2515, 1037, 3438, 3371, 21881, 2428, 2812, 3438, 2781, 2030, 2003, 2009, 2074, 2753, 2781, 1997, 21881, 1029, 2057, 2079, 1037, 2440, 2382, 1010, 3438, 1010, 3938, 2030, 6036, 2781, 2006, 1996, 2795, 1012, 2017, 2024, 7079, 2005, 1037, 2440, 3178, 1010, 2017, 2097, 2022, 2893, 1037, 2440, 3178, 1997, 2326, 1012, 2057, 2036, 2123, 1005, 1056, 2338, 14651, 2157, 2006, 2327, 1997, 2169, 2060, 1012, 2057, 6134, 1037, 2382, 3371, 7233, 2051, 1999, 2090, 2169, 6098, 2061, 2008, 2057, 2064, 2507, 2017, 2256, 2440, 2051, 1998, 3086, 2017, 10107, 1012, 2054, 2828, 1997, 10504, 2079, 2017, 5138, 1029, 2057, 5138, 5356, 1010, 3167, 4638, 1006, 2004, 2146, 2004, 2057, 2031, 10507, 2592, 2006, 5371, 1007, 1010, 9425, 1010, 3040, 11522, 1010, 7523, 1010, 2137, 4671, 1010, 12403, 23695, 5592, 17987, 1010, 12403, 9148, 4095, 1010, 12403, 28075, 5592, 17987, 1998, 14262, 10497, 11514, 3012, 25860, 2996, 5592, 17987, 1012, 2323, 1045, 5955, 2017, 2030, 2507, 2017, 1037, 24665, 4017, 18518, 1029, 2295, 2025, 3223, 1010, 24665, 4017, 14663, 3111, 2024, 1037, 2307, 2126, 2000, 2265, 12284, 2005, 1996, 3737, 2326, 3253, 2011, 2256, 19294, 2015, 1012, 10247, 2779, 2090, 2321, 1003, 1011, 2423, 1003, 1997, 1996, 2326, 3976, 1012, 2017, 2089, 2681, 1037, 5955, 1999, 5356, 2030, 5587, 2009, 2000, 2115, 4923, 4003, 2012, 4638, 2041, 2065, 2017, 2024, 2478, 1037, 10507, 2005, 7909, 1012, 2017, 2064, 2036, 4339, 2115, 19294, 1037, 3167, 4638, 1012, 1045, 2572, 3374, 1010, 2021, 2057, 3685, 5138, 2074, 1037, 5955, 2006, 1037, 4923, 4003, 1010, 2061, 2065, 2017, 2024, 2478, 1037, 5592, 8196, 1010, 3531, 3288, 5356, 2005, 1037, 24665, 4017, 18518, 1012, 12403, 23695, 1998, 12403, 28075, 5592, 17987, 2031, 2053, 5356, 3643, 1998, 3685, 2022, 2109, 2875, 1037, 24665, 4017, 18518, 1012, 2054, 2003, 2115, 3343, 2006, 12436, 14693, 9323, 1029, 2057, 2903, 2008, 1037, 5381, 2966, 9804, 2024, 2090, 2068, 1998, 2037, 7435, 1010, 2025, 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, 9617, 18647, 26261, 29514, 13341, 5443, 8700, 1010, 2862, 1997, 8700, 9617, 18647, 26261, 29514, 9617, 18647, 26261, 29514, 13341, 5443, 8700, 2116, 2224, 26261, 29514, 2000, 11598, 2037, 2303, 25820, 12353, 1010, 2926, 2216, 6637, 2006, 1996, 3356, 3798, 1997, 1996, 2303, 25820, 4984, 2107, 2004, 2720, 1012, 17096, 1998, 2720, 1012, 5304, 1012, 1999, 2023, 3663, 1010, 2009, 2003, 2411, 6749, 2000, 2224, 2012, 2560, 1015, 1516, 1016, 20372, 1997, 13675, 5243, 10196, 18847, 10536, 7265, 2618, 2566, 2154, 1998, 2000, 4468, 2151, 2433, 1997, 2482, 5092, 10536, 7265, 4570, 2008, 2097, 2191, 2017, 2514, 7501, 2076, 1996, 2154, 1012, 2036, 2079, 2025, 12448, 2115, 8738, 2007, 9440, 2008, 5383, 5699, 2015, 1010, 4086, 24454, 2015, 2030, 2060, 29167, 2015, 2004, 2009, 2003, 2590, 2000, 4468, 2482, 5092, 10536, 7265, 2618, 1998, 5250, 1011, 1998, 6638, 1011, 14887, 9440, 1999, 1996, 2034, 2048, 3134, 1997, 12448, 3370, 2077, 2151, 3278, 3635, 2731, 5158, 1010, 8700, 26261, 29514, 5443, 13341, 2005, 21733, 1012, 12448, 2075, 2007, 1996, 13675, 5243, 10196, 5576, 13675, 5243, 10196, 18479, 2818, 10626, 5178, 1998, 13365, 19057, 17596, 2064, 2022, 2179, 2011, 20422, 2012, 2087, 6887, 27292, 20499, 2030, 4156, 3495, 2013, 2019, 3784, 3120, 1010, 2107, 2004, 9733, 2030, 9733, 1012, 4012, 1012, 2023, 9898, 2433, 2003, 2019, 15184, 1998, 4621, 12448, 2005, 2731, 7576, 1012, 2005, 1037, 2235, 3465, 1010, 2017, 2064, 2131, 1996, 9898, 2433, 1997, 13675, 5243, 10196, 2008, 2036, 2950, 5250, 1998, 17663, 2015, 29491, 1010, 1038, 2475, 1010, 1038, 2575, 1010, 29491, 2475, 1010, 21469, 1011, 2777, 4048, 10698, 2638, 1010, 1998, 15813, 1010, 9617, 18647, 26261, 29514, 5730, 3930, 1012, 13675, 5243, 10196, 25654, 1010, 2295, 2027, 2024, 4659, 23766, 1010, 2064, 2025, 2069, 2507, 1037, 3278, 12992, 1999, 2731, 8122, 1010, 2021, 2027, 2024, 2036, 4621, 2005, 10723, 6740, 12554, 2011, 21575, 8171, 1999, 1996, 6740, 1012, 2065, 2017, 1005, 2310, 3191, 2026, 3720, 2006, 13675, 5243, 10196, 12448, 3370, 1010, 2017, 2763, 2113, 2008, 13675, 5243, 10196, 2064, 2022, 2109, 2000, 9239, 6740, 1043, 2135, 3597, 6914, 5324, 2096, 4852, 5250, 10752, 2004, 2092, 1010, 8700, 9617, 18647, 26261, 29514, 2005, 4088, 16912, 1012, 3568, 1010, 2009, 2003, 23934, 2000, 3623, 1996, 11712, 1997, 13675, 5243, 10196, 2017, 2202, 1012, 2026, 12832, 2052, 2022, 2000, 2224, 2048, 3156, 1011, 2000, 5174, 1011, 11460, 17596, 1997, 13675, 5243, 10196, 1999, 1996, 2851, 1517, 1037, 1000, 2851, 13004, 1000, 1997, 13675, 5243, 10196, 1517, 1998, 2048, 18269, 2015, 1997, 13365, 19057, 1010, 2028, 1037, 2154, 1010, 2000, 3362, 2115, 6749, 3679, 21447, 1997, 2423, 2000, 2871, 11460, 1997, 13675, 5243, 10196, 2566, 2154, 1010, 9689, 2129, 2303, 25820, 2005, 2224, 2000, 26261, 29514, 1012, 2023, 3679, 13004, 2097, 5676, 2008, 2017, 2131, 1996, 4602, 3815, 1997, 13675, 5243, 10196, 2800, 2061, 2017, 2064, 5114, 6740, 3742, 2076, 1996, 2733, 1012, 2017, 2089, 2424, 2195, 3971, 2000, 2202, 1996, 13675, 5243, 10196, 1998, 13365, 19057, 2138, 1996, 6635, 9998, 4270, 2038, 9426, 2013, 3979, 2000, 3979, 1012, 2045, 2024, 2116, 2367, 3596, 1997, 13675, 5243, 10196, 1012, 1996, 2048, 15345, 2008, 1045, 2224, 2031, 2042, 2881, 3952, 2005, 7576, 1010, 2021, 2024, 2036, 2081, 2005, 2216, 2559, 2000, 2224, 2625, 2084, 10347, 11460, 2561, 1998, 2005, 7576, 2007, 1037, 3020, 6740, 3742, 2040, 2003, 2559, 2000, 2131, 2037, 2731, 2062, 4621, 1010, 2129, 2000, 2224, 26261, 29514, 9689, 2005, 2303, 25820, 1012, 2028, 13855, 3397, 1020, 1010, 9617, 18647, 26261, 29514, 15345, 1012, 1019, 11460, 1997, 13675, 5243, 10196, 16731, 2140, 1998, 1996, 2060, 3397, 1020, 20372, 1010, 9617, 18647, 26261, 29514, 15345, 1012, 2045, 2024, 2036, 13675, 5243, 10196, 17596, 1998, 9898, 1010, 1998, 1037, 2998, 4392, 9898, 4919, 2081, 2005, 7576, 1012, 2005, 7576, 2040, 2052, 2066, 2659, 9998, 4270, 3596, 1997, 13675, 5243, 10196, 2000, 2224, 2004, 12448, 1010, 13675, 5243, 10196, 19057, 17596, 2031, 10003, 2000, 2022, 1996, 2087, 4621, 2000, 3058, 1012, 2862, 1997, 8700, 9617, 18647, 26261, 29514, 2917, 2024, 1996, 2367, 4127, 1010, 2030, 7236, 1997, 9617, 18647, 26261, 29514, 1010, 2109, 2011, 2303, 8569, 23891, 2869, 1024, 9625, 2075, 26261, 29514, 6276, 26261, 29514, 8700, 26261, 29514, 1999, 20614, 3085, 26261, 29514, 1006, 2788, 2005, 5970, 2030, 2998, 1007, 2023, 2003, 1996, 2364, 3444, 1997, 26261, 29514, 2008, 1996, 2303, 8569, 23891, 2869, 2097, 5060, 1996, 5221, 4489, 1010, 3647, 3367, 8700, 9617, 18647, 26261, 29514, 1012, 2005, 2742, 1010, 1996, 5171, 2303, 8569, 23891, 2099, 2097, 2224, 9617, 18647, 26261, 29514, 1010, 1998, 2097, 2022, 2062, 7591, 2000, 1996, 3896, 1997, 1996, 5850, 2084, 2619, 2007, 1037, 3469, 3815, 1997, 6740, 1012, 1996, 3896, 2077, 3331, 2055, 1996, 3896, 2030, 2217, 3896, 1997, 9617, 18647, 26261, 29514, 1010, 1996, 2364, 2518, 2017, 2342, 2000, 3305, 2003, 2129, 2027, 11477, 1996, 2303, 1012, 26261, 29514, 11477, 1996, 18714, 3798, 1999, 1996, 2303, 1010, 1998, 1010, 1996, 3431, 1997, 2023, 18714, 13531, 1996, 2303, 1010, 9617, 18647, 26261, 29514, 2900, 1012, 1996, 2087, 2590, 3431, 2024, 2005, 6638, 3279, 1012, 26261, 22943, 2109, 2005, 6638, 3279, 2064, 2022, 2109, 2894, 2030, 1999, 5257, 2007, 2060, 4725, 1011, 2107, 2004, 23444, 3431, 1010, 25654, 1010, 2030, 29305, 1010, 2862, 1997, 8700, 9617, 18647, 26261, 29514, 1012, 2004, 3855, 2682, 1010, 2009, 1005, 1055, 2590, 2000, 2191, 2469, 1996, 26261, 29514, 2017, 2224, 1010, 2004, 2092, 2004, 2115, 8738, 2024, 1996, 2157, 2126, 2000, 2175, 1012, 2043, 2009, 3310, 2000, 9617, 18647, 26261, 29514, 1010, 1996, 3896, 2064, 2022, 4055, 2039, 2046, 2122, 2093, 2364, 7236, 1024, 16326, 1024, 1037, 26261, 22943, 2003, 9063, 2083, 1996, 9535, 1011, 2066, 10804, 1010, 1999, 1996, 2303, 2170, 1996, 9535, 1011, 2066, 21445, 1012, 1999, 1037, 3043, 1997, 5312, 1010, 26261, 29514, 2024, 1999, 1996, 2668, 1998, 1996, 2303, 4269, 2000, 18804, 14956, 4697, 2068, 1999, 2049, 4442, 1010, 1998, 1996, 2303, 4627, 2000, 3965, 2062, 1997, 2068, 1010, 9617, 18647, 26261, 29514, 12760, 2862, 1012, 2012, 1996, 2168, 2051, 1010, 22597, 3798, 3623, 1010, 1998, 25937, 3798, 2024, 3445, 1012, 2023, 2003, 2339, 1010, 2070, 2303, 8569, 23891, 2869, 4366, 2043, 2027, 2707, 9617, 18647, 26261, 29514, 2037, 2668, 3798, 7166, 2000, 3623, 2004, 2092, 1010, 1997, 8700, 26261, 29514, 2862, 9617, 18647, 1012, 1999, 1996, 2303, 1010, 2062, 25937, 2064, 2599, 2000, 3445, 6740, 3742, 1998, 3997, 1010, 9617, 18647, 26261, 29514, 12760, 2862, 1012, 1999, 2755, 1010, 1996, 3815, 1997, 25937, 1999, 1996, 2303, 2003, 3495, 3141, 2000, 1996, 3815, 1997, 6740, 3742, 2009, 7137, 1012, 2174, 1010, 2023, 2515, 2025, 2812, 2008, 2035, 2303, 8569, 23891, 2869, 2040, 2202, 26261, 29514, 2036, 4503, 7046, 6650, 1998, 6428, 6650, 2084, 2216, 2040, 2123, 1005, 1056, 1012, 9998, 4270, 1024, 2007, 9617, 18647, 26261, 22943, 2224, 1010, 2009, 5942, 1037, 13004, 1010, 3647, 3367, 8700, 9617, 18647, 26261, 29514, 1012, 1996, 13004, 1997, 9617, 18647, 26261, 22943, 2003, 3141, 2000, 1996, 2711, 2635, 1996, 20422, 4118, 1012, 2045, 2024, 2048, 4127, 1997, 21656, 1024, 3435, 1011, 3772, 1998, 4030, 1011, 3772, 1010, 9617, 18647, 26261, 29514, 2900, 1012, 1996, 3435, 1011, 3772, 3924, 2024, 2788, 2625, 2084, 1037, 3204, 1997, 26261, 22943, 2224, 1010, 1998, 1996, 4030, 1011, 3772, 4617, 2024, 2788, 7820, 2084, 1037, 3204, 1012, 2009, 2003, 2590, 2000, 3602, 2008, 2070, 2303, 8569, 23891, 2869, 2097, 2202, 9617, 18647, 26261, 29514, 2005, 2086, 2302, 2635, 2151, 21656, 1010, 2096, 1010, 2070, 2303, 8569, 23891, 2869, 2097, 2224, 4030, 1011, 3772, 26261, 29514, 2005, 1037, 2733, 1010, 2093, 3134, 1010, 1020, 3134, 1010, 1998, 2936, 1012, 1996, 2217, 3896, 1998, 3471, 2348, 2087, 3728, 1999, 1996, 2739, 2005, 2037, 28616, 8557, 2011, 2658, 1996, 7273, 4590, 6887, 27292, 2050, 9761, 18153, 12898, 2140, 17596, 3652, 6206, 3012, 2046, 3949, 2005, 26261, 22943, 6905, 1010, 1996, 3739, 1997, 2060, 10099, 1999, 17985, 2038, 2411, 2042, 17092, 1012, 2122, 2024, 3391, 16834, 1998, 16834, 1011, 2066, 17985, 2064, 2532, 21891, 9821, 1998, 28774, 11837, 17086, 2107, 2004, 1015, 1010, 1022, 1513, 27211, 2705, 11636, 2100, 1513, 1018, 1513, 2482, 8758, 22571, 10222, 12844, 16921, 10278, 3170, 1010, 1020, 1010, 1021, 1513, 27211, 2705, 11636, 2100, 1513, 1018, 1513, 2482, 8758, 23943, 2618, 1010, 1021, 1513, 2777, 6806, 18037, 1513, 1018, 1513, 25003, 1513, 1017, 1513, 25003, 1513, 1016, 1513, 6887, 2368, 12844, 16921, 10278, 3170, 1998, 1015, 1010, 1018, 1513, 27211, 2705, 11636, 2100, 1513, 1018, 1513, 2482, 8758, 23943, 11233, 1012, 1015, 1012, 4955, 13142, 1997, 17985, 2005, 2049, 17261, 2224, 2038, 4961, 2013, 7275, 1010, 5230, 5822, 1010, 2000, 2312, 1513, 4094, 3293, 4128, 1999, 4021, 1998, 3088, 1012, 1999, 2116, 3182, 13142, 2085, 23651, 8381, 1012, 5262, 13142, 2005, 17985, 3464, 1037, 2350, 3291, 4969, 1012, 10035, 2404, 2537, 1999, 1996, 2142, 2163, 2012, 2055, 2321, 1010, 2199, 12046, 6197, 1998, 2537, 2005, 3088, 2012, 2055, 3963, 1010, 2199, 12046, 6197, 1998, 2005, 2885, 2012, 2055, 4278, 1010, 2199, 12046, 6197, 1012, 2007, 3652, 2591, 18024, 2114, 4319, 6905, 2116, 2024, 11542, 2000, 6848, 2049, 17631, 3896, 1012, 2004, 1999, 1996, 2553, 1997, 15001, 1010, 1998, 2061, 2007, 2172, 2842, 1010, 2172, 1997, 2783, 2966, 3218, 3632, 2114, 1996, 8982, 1997, 2966, 3716, 1012, 1996, 2224, 1997, 17985, 1010, 1998, 5262, 6544, 1998, 9098, 1010, 2038, 3445, 1999, 2119, 21024, 1010, 1998, 2926, 1999, 3767, 1010, 2058, 1996, 2627, 1017, 5109, 1012, 2005, 2742, 1010, 1999, 3261, 1010, 1996, 1057, 1012, 1055, 1012, 2533, 1997, 2740, 1998, 2529, 2578, 2988, 1015, 1010, 5385, 1010, 2199, 3296, 20247, 2046, 2149, 8323, 1012, 1996, 4358, 5366, 1997, 3949, 2005, 13449, 2000, 2122, 5850, 2020, 3155, 2149, 1002, 1019, 1012, 1020, 4551, 1998, 2122, 2024, 2006, 1996, 4603, 2203, 1997, 10035, 1012, 2064, 2532, 21891, 9821, 2107, 2004, 1015, 1513, 19027, 5428, 5280, 6977, 2140, 25643, 17119, 4747, 1006, 1015, 1516, 12943, 1007, 2550, 2011, 1996, 3269, 2024, 2245, 2000, 2022, 2590, 2865, 6591, 1997, 2119, 3896, 1997, 16215, 2278, 1998, 17985, 1012, 1015, 1513, 12943, 2003, 2019, 6827, 3514, 1997, 1996, 17985, 3269, 2008, 2038, 2042, 3491, 2000, 2031, 2064, 2532, 21891, 3593, 1513, 2066, 3450, 1999, 1996, 2303, 1012, 1015, 1513, 12943, 3544, 2000, 2031, 1037, 11265, 10976, 21572, 26557, 6024, 3200, 1998, 2001, 2179, 2000, 2022, 2062, 16834, 2084, 1996, 2062, 4141, 2109, 16215, 2278, 1999, 8161, 1996, 18949, 1997, 11265, 10976, 25940, 3255, 1998, 1996, 3896, 1997, 3674, 8040, 3917, 12650, 1006, 5796, 1007, 1031, 1017, 1010, 1018, 1010, 1019, 1033, 1012, 1996, 4023, 1997, 2064, 2532, 21891, 9821, 1999, 1996, 9740, 1998, 3949, 1997, 3255, 2038, 2042, 4453, 2000, 14396, 2000, 1996, 2458, 1997, 3563, 2064, 2532, 21891, 3593, 13833, 1999, 1996, 2430, 6091, 2291, 1010, 1996, 2033, 19454, 5714, 13592, 12732, 1010, 1998, 2019, 3466, 2012, 1996, 2504, 1997, 1996, 8285, 3630, 7712, 6091, 2291, 2006, 3255, 1012, 2028, 2817, 2988, 2008, 2043, 8564, 2000, 11432, 2012, 2321, 2030, 2382, 11460, 1013, 4705, 2566, 2154, 1010, 1996, 3078, 1055, 2078, 1517, 2122, 5850, 2064, 2022, 2579, 1999, 17357, 2433, 2030, 19737, 1012, 2070, 1997, 1996, 4141, 2124, 9617, 18647, 26261, 29514, 2421, 1024, 8805, 14956, 1006, 2777, 11774, 7352, 6528, 12898, 2638, 1007, 1012, 1037, 2709, 1997, 2023, 4438, 11409, 9091, 13082, 1024, 2067, 2011, 2759, 5157, 999, 8702, 13082, 2007, 3154, 5107, 8128, 2004, 2000, 2073, 2000, 1999, 20614, 9617, 18647, 26261, 29514, 1012, 2522, 28228, 3385, 2063, 13341, 2015, 2024, 1037, 2691, 3949, 2005, 6181, 9808, 2618, 10441, 15265, 14778, 2483, 1012, 2522, 28228, 13186, 3334, 17086, 2024, 2367, 2013, 9617, 18647, 26261, 29514, 1006, 2107, 2004, 25937, 1007, 2008, 2024, 2109, 1012, 1517, 2027, 2089, 2202, 1996, 26261, 29514, 8700, 2135, 1010, 1999, 20614, 2068, 2046, 6650, 1010, 2030, 6611, 2068, 2000, 1996, 3096, 2004, 1037, 21500, 2030, 6949, 1012, 2122, 21656, 2089, 2022, 2184, 2000, 2531, 2335, 1012, 9617, 18647, 26261, 22943, 2224, 2064, 2036, 3426, 9353, 2638, 1998, 8331, 20125, 1012, 8700, 12929, 1997, 9617, 18647, 26261, 29514, 1010, 1999, 3327, 1010, 2064, 4053, 1996, 11290, 1012, 13341, 1997, 9617, 18647, 26261, 29514, 1010, 25937, 1998, 2060, 23799, 13978, 2467, 7336, 10831, 1012, 17800, 2550, 3688, 2064, 8700, 3976, 2862, 1516, 7597, 2005, 1996, 2087, 2691, 8853, 1012, 2017, 2064, 2036, 3477, 2115, 7408, 1999, 16021, 9080, 8163, 2007, 1996, 8700, 12135, 1012, 8700, 4456, 5850, 1024, 27615, 7126, 3477, 2005, 2070, 8700, 4456, 5850, 2017, 2202, 2011, 2677, 2065, 1996, 2168, 4319, 2003, 2800, 1999, 1999, 20614, 3085, 1012, 2569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2678, 2208, 4569, 8866, 11895, 4590, 2226, 2771, 14852, 11439, 1010, 1996, 8543, 1997, 3565, 7986, 10243, 1012, 1998, 20325, 4290, 1010, 2003, 2025, 3039, 2000, 7997, 2000, 2147, 2138, 2010, 3808, 2003, 2205, 2590, 2000, 10022, 1012, 2076, 1996, 2537, 1997, 3585, 17683, 4002, 2581, 1010, 9797, 2641, 2383, 2867, 4895, 24759, 15916, 1998, 19222, 8743, 1996, 1050, 21084, 15658, 5308, 2296, 2051, 2027, 2359, 2000, 2128, 11066, 2037, 5195, 1012, 1996, 10022, 2839, 15129, 2001, 2315, 2044, 2198, 15129, 1010, 1996, 3423, 9517, 2005, 10022, 2040, 3271, 2068, 2663, 2037, 9870, 2007, 5415, 4835, 1999, 3196, 1012, 2198, 15129, 2001, 12785, 1037, 9498, 11975, 4828, 6675, 1996, 1523, 20325, 4290, 1524, 1998, 2445, 7262, 2916, 2000, 2171, 2151, 4049, 2002, 3079, 1523, 20325, 4290, 1012, 1524, 5745, 8286, 7747, 1024, 1996, 2678, 2208, 1006, 2268, 1007, 2038, 2376, 3772, 2013, 2035, 2176, 1997, 1996, 2434, 3459, 2372, 1006, 3021, 6264, 1010, 4907, 1037, 15922, 13238, 2094, 1010, 7157, 8223, 2483, 1010, 14637, 6842, 1007, 1010, 2040, 3271, 4339, 1996, 5896, 2004, 2092, 1012, 1037, 15922, 13238, 2094, 10592, 2009, 1000, 7687, 1996, 2353, 3185, 1000, 1012, 2116, 2137, 2270, 8860, 4287, 2678, 2399, 2004, 2019, 3535, 2000, 17256, 12908, 2046, 1037, 3075, 1012, 1996, 2765, 2003, 2062, 12908, 2746, 2000, 1996, 3075, 1998, 2808, 2024, 2108, 7039, 2041, 2012, 1037, 3446, 2008, 23651, 2054, 2009, 2001, 2077, 1996, 27911, 2015, 3369, 1012, 1999, 2384, 1010, 1037, 1043, 15909, 2818, 1999, 2088, 1997, 2162, 10419, 3039, 1037, 11629, 2000, 3659, 1999, 1996, 2208, 2877, 2512, 1011, 10372, 2867, 2000, 10824, 3655, 2096, 2216, 10372, 2020, 3140, 2046, 24209, 20486, 10196, 2015, 1012, 2009, 2001, 2101, 3273, 2011, 4958, 5178, 4328, 16886, 2000, 2156, 2129, 2613, 2166, 2111, 2052, 10509, 2000, 1037, 6090, 3207, 7712, 1012, 12849, 28987, 2018, 1037, 3168, 1997, 8562, 7149, 2007, 10022, 24386, 1012, 2065, 9454, 15527, 14104, 16489, 3523, 9456, 2009, 3475, 1005, 1056, 2019, 14469, 6100, 1996, 2208, 8601, 13416, 1996, 4053, 1996, 2447, 9144, 2041, 1010, 7695, 1996, 4053, 2027, 2202, 1998, 3084, 14021, 5596, 4063, 12147, 1012, 1996, 17277, 1997, 14397, 1011, 2158, 2106, 2025, 2113, 2129, 1996, 2208, 3092, 2004, 2009, 2001, 2881, 2000, 2448, 20733, 1012, 2009, 2001, 2069, 2043, 5006, 6395, 2736, 1996, 2208, 1010, 2044, 2035, 2049, 4722, 5527, 2743, 2041, 1010, 2008, 2027, 2387, 2129, 2009, 3092, 1012, 2296, 2051, 14397, 1011, 2158, 20323, 1037, 3180, 11089, 1010, 2002, 6762, 3048, 2005, 2028, 4853, 1006, 1015, 1013, 20928, 1997, 1037, 2117, 1007, 1010, 18068, 2010, 5082, 2011, 5560, 2184, 1003, 2074, 2438, 2005, 1996, 2206, 5745, 2000, 2058, 15166, 2032, 1012, 5070, 10722, 5149, 2243, 1010, 4205, 10970, 1010, 1998, 7150, 6039, 3258, 2035, 6126, 9622, 1999, 17201, 1017, 1012, 2037, 3494, 2020, 2445, 12857, 15525, 1996, 3494, 2027, 2209, 1999, 2543, 14151, 1012, 2882, 11933, 8285, 2001, 2761, 1037, 3868, 2208, 2170, 2679, 1005, 1050, 1005, 5252, 1010, 2174, 1010, 1037, 1043, 15909, 2818, 2081, 1996, 2610, 3765, 2175, 4689, 1010, 8223, 6562, 1996, 2447, 1012, 2023, 1043, 15909, 2818, 2001, 2061, 2759, 2007, 3231, 2545, 2008, 2027, 7183, 1996, 2208, 2105, 2009, 1010, 4526, 14181, 2050, 1012, 2652, 2895, 2678, 2399, 4499, 2111, 2000, 2191, 1996, 2157, 6567, 5514, 2302, 3279, 1997, 10640, 1012, 2678, 2208, 2867, 4503, 1037, 21106, 14639, 2000, 2054, 2003, 2183, 2006, 2105, 2068, 1010, 2029, 7126, 2007, 4800, 10230, 6834, 1010, 4439, 1010, 4363, 2650, 1997, 2814, 1999, 1037, 4306, 1010, 1998, 6583, 5737, 16961, 2105, 2237, 1012, 2190, 4965, 3718, 1996, 3554, 2678, 2208, 1000, 22289, 7385, 1000, 2013, 2049, 15475, 2044, 2019, 5334, 2450, 10865, 2008, 2014, 2340, 1011, 2095, 1011, 2214, 2365, 2018, 11633, 2135, 6791, 2028, 1997, 1996, 2208, 1005, 1055, 23526, 1011, 2066, 2839, 1005, 1055, 1000, 3585, 6457, 1013, 24471, 12758, 1000, 10611, 3012, 2693, 1012, 3585, 17683, 4002, 2581, 2005, 1050, 21084, 2069, 2018, 1023, 9797, 2006, 1996, 2136, 1010, 1998, 1022, 1997, 2068, 2018, 2196, 2499, 2006, 2678, 2399, 2077, 1012, 1037, 2817, 19654, 13509, 2336, 2006, 1996, 2678, 2208, 1998, 2591, 14243, 1010, 2234, 2000, 1037, 7091, 2008, 2216, 2652, 2678, 2399, 2006, 1037, 3180, 3978, 2024, 2062, 8510, 2007, 2037, 3268, 1010, 2024, 2625, 13047, 2000, 2108, 23760, 19620, 1010, 2031, 2625, 6832, 3314, 2084, 2216, 2040, 2123, 1521, 1056, 2377, 2678, 2399, 2012, 2035, 1012, 6529, 1999, 4068, 2356, 6001, 2000, 2377, 3565, 7986, 4185, 2058, 1037, 2558, 1997, 1016, 2706, 2005, 2382, 2781, 1037, 2154, 1012, 1996, 2177, 3662, 2019, 3623, 1999, 4462, 3043, 1010, 14313, 1000, 1996, 3622, 28102, 4957, 2090, 2678, 10355, 1998, 1037, 3872, 12412, 4167, 3623, 1012, 1000, 24524, 2399, 2066, 2645, 3406, 19303, 2020, 2081, 2061, 2524, 2138, 10022, 2001, 3974, 2769, 2006, 2678, 2208, 12635, 2015, 1012, 2065, 2027, 2165, 1037, 2146, 2051, 2000, 3786, 1010, 2111, 2052, 2031, 2000, 4965, 1996, 2399, 2612, 1012, 1996, 2972, 3585, 17683, 4002, 2581, 2208, 2006, 1996, 1050, 21084, 2003, 2069, 2260, 16914, 1012, 2007, 2058, 2423, 4551, 2847, 1006, 1016, 1012, 5594, 2454, 2086, 1007, 1997, 2561, 2208, 2377, 7292, 1010, 2111, 2031, 2209, 2655, 1997, 4611, 2005, 2936, 2084, 1996, 2607, 1997, 2529, 4598, 1012, 1996, 3302, 2181, 1997, 3067, 10419, 1005, 1055, 2058, 11108, 1006, 2006, 1996, 7473, 2544, 1007, 2003, 3155, 1023, 1010, 24398, 1010, 17825, 2335, 3469, 2084, 2008, 1997, 1996, 3011, 1012, 2111, 2040, 2377, 2678, 2399, 2024, 2062, 3497, 2000, 2022, 12776, 3593, 24726, 2015, 1006, 2031, 2491, 2058, 2037, 4506, 1999, 5544, 1007, 2084, 2216, 2040, 2123, 1005, 1056, 1012, 1996, 17762, 5549, 1999, 3585, 17683, 2001, 2794, 2197, 3371, 1010, 2302, 1996, 3716, 1997, 4678, 1998, 10022, 1012, 2208, 2879, 2001, 1996, 2034, 2678, 2208, 10122, 2000, 2022, 2209, 1999, 2686, 2011, 2845, 2522, 25855, 24619, 24020, 14262, 15878, 12298, 1012, 1996, 2208, 2002, 2209, 2001, 8915, 18886, 2015, 1012, 2065, 2017, 3926, 1996, 9788, 2524, 2678, 2208, 11277, 1050, 1005, 22639, 1010, 2017, 2097, 4374, 1037, 4471, 2012, 1996, 2203, 2008, 2035, 2001, 2074, 2019, 12492, 1998, 2017, 2097, 2022, 3140, 2000, 2707, 2012, 1996, 2200, 2927, 1997, 1996, 2208, 2153, 1012, 2069, 2044, 2652, 2083, 1996, 2117, 2051, 2017, 2097, 2156, 1996, 2613, 4566, 1012, 1996, 2972, 2208, 1997, 1996, 5722, 1997, 27838, 15150, 1024, 1037, 4957, 2000, 1996, 2627, 2003, 2625, 2084, 1015, 14905, 1999, 2946, 1012, 2771, 14852, 11439, 3373, 1000, 20325, 1000, 3214, 1000, 5236, 1000, 1999, 2394, 1010, 1998, 5071, 1996, 2171, 20325, 4290, 2052, 16636, 1996, 3168, 1000, 5236, 23957, 1000, 2000, 2019, 2137, 4378, 1012, 2043, 2002, 4081, 2023, 2171, 2000, 10022, 1997, 2637, 1010, 2002, 2001, 4191, 2012, 1010, 2021, 1996, 2171, 5881, 1012, 3011, 22769, 3958, 2001, 2580, 2004, 1037, 2765, 1997, 1996, 3112, 1997, 9454, 15527, 14104, 16489, 1012, 1996, 2208, 2001, 2580, 2004, 1037, 18312, 1997, 4132, 2678, 2399, 2012, 1996, 2051, 1025, 2005, 6013, 1010, 1000, 4615, 1011, 2054, 1005, 1055, 1011, 2014, 1011, 2171, 1000, 2001, 1037, 12354, 1997, 2129, 2061, 2116, 2678, 2399, 2018, 5466, 1011, 2185, 2931, 3494, 2000, 2022, 5552, 1012, 2070, 2576, 5895, 1999, 2859, 2020, 3140, 2000, 2377, 2088, 1997, 2162, 10419, 1998, 2060, 2399, 2000, 8587, 7484, 9598, 1012, 5749, 7559, 2399, 5086, 1037, 2797, 14064, 2000, 12453, 1996, 3588, 9064, 1997, 2028, 1997, 1996, 2372, 1997, 1996, 24053, 4779, 10243, 1012, 1999, 6646, 1999, 2344, 2000, 6855, 6105, 2916, 2000, 1996, 2299, 1000, 3328, 1996, 2305, 1000, 2005, 2224, 1999, 2882, 11933, 8285, 4921, 1012, 1996, 2887, 2544, 1997, 23902, 1017, 2515, 2025, 2507, 1996, 2447, 1996, 5724, 2000, 20010, 21149, 1996, 13164, 2669, 4517, 5968, 1012, 1037, 2088, 1997, 2162, 10419, 2447, 2018, 4029, 6115, 2006, 2340, 7588, 7453, 1998, 18784, 2011, 2370, 1012, 1996, 2400, 2005, 2184, 5486, 8563, 2007, 1037, 13305, 1999, 17201, 1017, 2001, 4159, 1000, 23745, 27010, 999, 1000, 2077, 2009, 2001, 2904, 2000, 1000, 2330, 2161, 999, 1000, 6529, 2031, 3491, 2008, 2652, 8915, 18886, 2015, 2064, 7496, 26369, 2015, 2005, 3348, 1010, 5850, 1010, 1998, 2833, 1012, 2065, 7986, 2001, 1037, 2613, 2711, 1010, 2002, 2052, 2031, 2000, 2448, 1006, 1998, 9880, 1007, 1017, 1012, 1018, 2661, 2000, 3143, 3565, 7986, 10243, 1012, 4854, 5055, 1998, 13249, 1997, 16411, 2031, 3271, 2128, 9103, 8159, 3686, 6435, 1005, 1055, 4610, 2044, 22098, 1005, 1055, 22252, 1012, 1996, 2779, 2287, 1997, 1037, 2711, 2040, 3248, 2678, 2399, 2003, 2382, 1012, 1999, 1996, 2434, 4333, 2940, 2678, 2208, 1010, 1996, 9666, 5266, 1996, 2237, 2001, 2404, 1999, 1996, 2208, 2138, 1997, 8051, 12546, 1012, 5266, 1996, 2237, 1999, 9666, 3214, 2008, 2069, 1996, 2181, 4193, 1996, 2447, 2012, 2151, 2445, 2617, 2734, 2000, 2022, 10155, 1012, 2552, 24607, 1010, 1996, 2194, 2369, 1996, 2655, 1997, 4611, 2186, 1010, 3216, 2019, 15108, 4056, 2000, 4531, 6107, 6695, 1998, 5841, 2731, 2005, 8244, 1012, 1996, 2655, 1997, 4611, 15108, 4447, 2000, 2031, 3271, 2173, 2058, 2423, 1010, 2199, 29525, 2015, 1999, 2092, 1011, 7079, 5841, 2144, 2268, 1012, 1037, 2158, 2584, 2504, 3938, 1999, 2088, 1997, 2162, 10419, 2302, 2412, 2975, 1996, 3225, 4224, 1025, 5938, 19410, 1012, 1019, 2420, 5471, 1998, 8130, 17561, 1012, 1999, 12025, 1005, 1055, 16438, 1010, 2296, 3145, 2839, 2017, 25683, 2001, 1037, 2613, 2711, 1010, 1998, 1996, 3058, 1998, 3295, 1997, 2037, 2331, 2024, 8321, 1012, 2045, 2003, 1037, 6318, 3962, 1999, 14397, 1011, 2158, 2073, 2017, 2064, 4133, 2145, 9689, 2005, 2004, 2146, 2004, 2017, 2066, 1012, 1996, 2310, 6593, 2890, 2595, 10355, 10122, 1006, 3118, 1007, 2001, 1996, 2034, 10355, 10122, 2007, 3543, 2491, 1012, 10022, 1521, 1055, 7986, 2003, 1996, 2190, 1011, 4855, 2678, 2208, 6329, 1997, 2035, 2051, 2007, 2058, 2149, 1002, 6163, 2575, 2454, 1999, 4969, 4341, 1012, 1996, 10022, 16568, 1006, 2294, 1007, 2001, 1996, 2034, 4367, 1011, 4758, 10122, 1012, 1996, 7513, 12202, 1006, 2541, 1007, 2001, 1996, 2034, 10122, 2007, 2440, 2490, 2005, 10751, 9189, 1012, 1996, 16562, 3959, 10526, 1006, 2639, 1007, 2001, 1996, 2034, 3784, 10355, 10122, 1012, 10022, 1521, 1055, 2364, 2158, 1010, 7986, 1010, 2941, 2034, 2596, 1999, 1996, 10877, 2208, 20325, 4290, 2006, 2251, 1023, 1010, 3261, 1010, 1998, 2002, 2253, 2011, 1996, 2171, 5376, 2386, 1012, 1999, 2023, 2208, 1010, 20325, 4290, 2001, 2941, 7986, 1521, 1055, 9004, 23957, 2040, 12976, 1998, 22590, 2015, 7986, 1521, 1055, 6513, 1010, 15595, 1012, 13401, 5747, 9091, 1998, 6945, 4830, 24700, 3240, 2318, 18978, 2007, 2074, 1002, 3156, 1012, 2306, 1019, 2086, 1996, 2194, 3687, 1002, 2654, 2454, 1010, 1998, 2011, 3196, 1010, 4341, 9370, 1002, 1016, 4551, 1012, 1999, 2686, 17347, 1010, 1996, 2062, 12114, 2017, 3102, 1010, 1996, 5514, 2027, 2272, 2012, 2017, 1012, 2023, 5418, 1997, 1996, 2208, 2893, 2062, 10368, 1996, 2062, 2017, 2377, 2038, 2468, 1037, 18785, 1999, 1996, 10355, 2088, 1010, 2021, 2009, 2941, 2318, 2004, 1037, 19857, 3489, 999, 1996, 12114, 2020, 2467, 4011, 2000, 2272, 2012, 2017, 2012, 1996, 2168, 3177, 1010, 2021, 2007, 2061, 2116, 12114, 2006, 1996, 3898, 1996, 8051, 2481, 1521, 1056, 5047, 2009, 1010, 2061, 2027, 2020, 9784, 2091, 1012, 1996, 2062, 2017, 12114, 2017, 2730, 2004, 2017, 2209, 1010, 1996, 2062, 2291, 3638, 2001, 10650, 2039, 1010, 2061, 1996, 2208, 3092, 2039, 2770, 5514, 1012, 1996, 2640, 1997, 1996, 9160, 1016, 2003, 2241, 2006, 2019, 2214, 18978, 3274, 1010, 1996, 11684, 6021, 2692, 12702, 8758, 1012, 4593, 1010, 8412, 4149, 1996, 2640, 7353, 2043, 18978, 2001, 2183, 17482, 1012, 1996, 3923, 5722, 1516, 2008, 2357, 2041, 2000, 2022, 2995, 1516, 2001, 2008, 18978, 2018, 2061, 2116, 4895, 19454, 2094, 4809, 1031, 1997, 1041, 1012, 1056, 1012, 1996, 4469, 12350, 1033, 2008, 2027, 3950, 2068, 1999, 1996, 5532, 1012, 1037, 4516, 3626, 2941, 2253, 2041, 1998, 8655, 2068, 2039, 999, 2087, 1997, 1996, 2682, 3855, 1041, 1012, 1056, 1012, 2399, 1006, 2029, 2761, 2876, 1521, 1056, 5271, 1007, 2020, 2776, 2853, 2006, 1041, 15907, 2005, 1037, 2561, 1997, 2105, 1002, 10715, 1010, 2199, 1012, 13857, 8112, 16196, 1999, 2324, 2399, 1012, 2076, 1996, 2263, 4883, 2602, 1010, 13857, 8112, 4156, 4748, 2686, 1999, 2324, 2399, 2008, 2743, 1999, 2184, 2163, 1012, 1996, 1523, 3789, 2005, 2689, 1524, 4908, 2015, 2020, 1999, 6402, 5833, 9097, 1010, 17260, 1010, 24890, 1010, 1998, 2062, 2008, 9416, 1996, 15982, 1997, 5535, 2324, 2000, 4090, 1012, 2646, 1996, 2203, 1997, 1996, 3185, 1996, 6644, 1999, 1996, 5249, 1010, 1037, 3916, 1997, 9219, 2003, 3491, 2005, 1037, 2261, 3823, 1012, 2247, 2007, 2060, 14430, 2143, 9219, 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, 1520, 8402, 1996, 7372, 1024, 20377, 28120, 2232, 1011, 2241, 28815, 2015, 2005, 1996, 26166, 3068, 1521, 22246, 23564, 25650, 12079, 2050, 8065, 1010, 28256, 4031, 3208, 1010, 5887, 2278, 4302, 10654, 2545, 8065, 1010, 4087, 2326, 3208, 1010, 5887, 2278, 5503, 28211, 8065, 1010, 3208, 1516, 3795, 4031, 5821, 3208, 1010, 5887, 2278, 1996, 22979, 5024, 1011, 2110, 6370, 1997, 20377, 28120, 2232, 4473, 2005, 1037, 3528, 1997, 12016, 15420, 1998, 1996, 4245, 1997, 2047, 1998, 15873, 28256, 28815, 2015, 2004, 1037, 2765, 1012, 20377, 28120, 2232, 2038, 2042, 2109, 1999, 5257, 2007, 1037, 2261, 28256, 3787, 1010, 1998, 2003, 2087, 12192, 2179, 2004, 15420, 4820, 24432, 2229, 1998, 13463, 2229, 1010, 2632, 3683, 19491, 2015, 1010, 2482, 8758, 23943, 4570, 1010, 16215, 20282, 8520, 1010, 1998, 11085, 8621, 1012, 20377, 28120, 2232, 29607, 2003, 5921, 2028, 1997, 1996, 2087, 2691, 3225, 4475, 2005, 24203, 2229, 6026, 20377, 28120, 2232, 15420, 1010, 1998, 2013, 2023, 3225, 3430, 1996, 2034, 20377, 28120, 2232, 3158, 8447, 2618, 28815, 2015, 1006, 1052, 2100, 1012, 19681, 1007, 2020, 19788, 1999, 1996, 3054, 3955, 1031, 1015, 1010, 1016, 1033, 1012, 2045, 2038, 2042, 2506, 8144, 1999, 2023, 28815, 6370, 2058, 1996, 2086, 1010, 1998, 1999, 2325, 1037, 23222, 20377, 28120, 2232, 4589, 2007, 1037, 4310, 3609, 5950, 1010, 13433, 1012, 6564, 1010, 2001, 3390, 1006, 16350, 2974, 1997, 5887, 2278, 1007, 1012, 2144, 2037, 3293, 4955, 1999, 2901, 1006, 2034, 2537, 2005, 25022, 3676, 1010, 1996, 4549, 1007, 2046, 1996, 18898, 2015, 1004, 26166, 6089, 1010, 20377, 28120, 2232, 3158, 8447, 2618, 28815, 2015, 2031, 3445, 1999, 5197, 2004, 2037, 2492, 1997, 4646, 2038, 4961, 1012, 2122, 4408, 3756, 1010, 3811, 23489, 28815, 2015, 2024, 7356, 2011, 2037, 5151, 6728, 6305, 3012, 1013, 6318, 2373, 1010, 5072, 5012, 1010, 6581, 4633, 2075, 1998, 4241, 2527, 8553, 1012, 5887, 2278, 1521, 1055, 3822, 9525, 4245, 1997, 20377, 28120, 2232, 3158, 8447, 2618, 28815, 2015, 2031, 4423, 1996, 12546, 1997, 2023, 6370, 2000, 3104, 1037, 7289, 3609, 11721, 28120, 2013, 23753, 1011, 3756, 2000, 4589, 20639, 2015, 1012, 9849, 2107, 2004, 9229, 1996, 3684, 9211, 2038, 3445, 1996, 27891, 1997, 20377, 28120, 2232, 3158, 8447, 2618, 3688, 1999, 3330, 24604, 2015, 1041, 1012, 1043, 1012, 27201, 1020, 1012, 4852, 1996, 3609, 3997, 2038, 2580, 3643, 1999, 2224, 2005, 2116, 6304, 2040, 2215, 2000, 2224, 2625, 28815, 5819, 8498, 1996, 6318, 2373, 2306, 2037, 2291, 1012, 9308, 1010, 10449, 16130, 1011, 1999, 2974, 2038, 3271, 2000, 5547, 4082, 5366, 2011, 2437, 1996, 28815, 6082, 2000, 28736, 1010, 3568, 8161, 3778, 4125, 1999, 1996, 4654, 16344, 29190, 1998, 8161, 1996, 2193, 1997, 4654, 16344, 29190, 3898, 3431, 3223, 2076, 2537, 1012, 8377, 1999, 2256, 5814, 6786, 2031, 3039, 5887, 2278, 2000, 18759, 1996, 2087, 9694, 1998, 3563, 2836, 12332, 2107, 2004, 3684, 9211, 1004, 4487, 17668, 28255, 1012, 2023, 3259, 2097, 19141, 2129, 20377, 28120, 2232, 3158, 8447, 2618, 1998, 20377, 28120, 2232, 4589, 28815, 2015, 12826, 2000, 2060, 3609, 11390, 1999, 1996, 2665, 8703, 3756, 2000, 4589, 8703, 2752, 1010, 2007, 3327, 4431, 2000, 2836, 12332, 2107, 2004, 3684, 9211, 1010, 4487, 17668, 28255, 1010, 4633, 1011, 3435, 2791, 1010, 24136, 5012, 1998, 4431, 2129, 2122, 3688, 4685, 1999, 2367, 17782, 3001, 1012, 2023, 8312, 2003, 2947, 7812, 2005, 2216, 2040, 2147, 1004, 5675, 2618, 2007, 3609, 1998, 2052, 2066, 2000, 4503, 1037, 3618, 4824, 1997, 2129, 1052, 2100, 1012, 19681, 1998, 13433, 1012, 6564, 28815, 2015, 3747, 1996, 26166, 2027, 2147, 2007, 1012, 20377, 28120, 2232, 3158, 8447, 2618, 1006, 1038, 2615, 1007, 28815, 2015, 1006, 1039, 1012, 1045, 1012, 28815, 3756, 19681, 1007, 2031, 3445, 1999, 5197, 2004, 2037, 2492, 1997, 4646, 2038, 4961, 2144, 2037, 3988, 2458, 1999, 1996, 3150, 1521, 1055, 2005, 2224, 1999, 1996, 23262, 1010, 18898, 2015, 1998, 26166, 6089, 1012, 2027, 5050, 1037, 14408, 17441, 2465, 1997, 28815, 2015, 1010, 2029, 7949, 3458, 1996, 5220, 2846, 1997, 3756, 28256, 28815, 2015, 1006, 3707, 15772, 3756, 1010, 2599, 18546, 3756, 1010, 10381, 21716, 5007, 16537, 3686, 3756, 1010, 28353, 27759, 3756, 1998, 15519, 16537, 3686, 3756, 1007, 1012, 2122, 4408, 3756, 1010, 3811, 23489, 28815, 2015, 2024, 7356, 2011, 2037, 5151, 6728, 6305, 3012, 1013, 6318, 2373, 1010, 5072, 5012, 1010, 6581, 4633, 2075, 1998, 4241, 2527, 8553, 1012, 2027, 2024, 2036, 6581, 5347, 2004, 15955, 2000, 1996, 2665, 13178, 1997, 1996, 2599, 10381, 21716, 3686, 2241, 1998, 28353, 27759, 21396, 21850, 3207, 28815, 2015, 1012, 8144, 2038, 4423, 1996, 2224, 1997, 2023, 6370, 1010, 3391, 1999, 26166, 5097, 1012, 1038, 2615, 7545, 2794, 3643, 4102, 2007, 2060, 2759, 15535, 5134, 1010, 2004, 2009, 2003, 2085, 2108, 2109, 2025, 2069, 1999, 26572, 9890, 16294, 2015, 1010, 2021, 2036, 1999, 3330, 26166, 1012, 7145, 1010, 1999, 2344, 2000, 3113, 1996, 2087, 9694, 5918, 1997, 1996, 26166, 3068, 1010, 8945, 7277, 5648, 2038, 2042, 12550, 2000, 5335, 1996, 3684, 9211, 1999, 2536, 28815, 20219, 2015, 1012, 2045, 2024, 2536, 4725, 4846, 2000, 8970, 8945, 7277, 5648, 3031, 28256, 28815, 2015, 1010, 1041, 1012, 1043, 1012, 2011, 3622, 3949, 1997, 1996, 28815, 3302, 2007, 9033, 19341, 4570, 1998, 8945, 7277, 5648, 2030, 2011, 3322, 4372, 17695, 23722, 5844, 1996, 1038, 2615, 6121, 2059, 10449, 8945, 7277, 5648, 2000, 1996, 28815, 8185, 1012, 1996, 3684, 9211, 1997, 8945, 7277, 5648, 4820, 1038, 2615, 1521, 1055, 2003, 12099, 5301, 1010, 5041, 7406, 2037, 5816, 2224, 1999, 3330, 26166, 1012, 2174, 1010, 1996, 2224, 1997, 8945, 7277, 5648, 1999, 28815, 20219, 2015, 2038, 2042, 20099, 17440, 5399, 2349, 2000, 3795, 10738, 9259, 1012, 2065, 8945, 7277, 5648, 2489, 1038, 2615, 1521, 1055, 2024, 2109, 2076, 6364, 2059, 2045, 2003, 2053, 5710, 3696, 1997, 2300, 2108, 2207, 1010, 2029, 26777, 5814, 3314, 1998, 2151, 3141, 17782, 18479, 2135, 9276, 1012, 3728, 3107, 8945, 7277, 5648, 1011, 2489, 1038, 2615, 28815, 2015, 2031, 5151, 3684, 9211, 1010, 11813, 6120, 3997, 1998, 5050, 2019, 5875, 2047, 5724, 2005, 1996, 26166, 3006, 1010, 2007, 2053, 6364, 3314, 1012, 6120, 6553, 3973, 4092, 1010, 1996, 1038, 15088, 2109, 1999, 26166, 2031, 2580, 3618, 3643, 2144, 2625, 28815, 2003, 4072, 2076, 6364, 2000, 5441, 1996, 3223, 20639, 1998, 6318, 2373, 1012, 2023, 1999, 2735, 1010, 2965, 2062, 3465, 10995, 2005, 1996, 2203, 4031, 1998, 2203, 8013, 1012, 2633, 1010, 1996, 4955, 1997, 1037, 16130, 1011, 1999, 2974, 2005, 1038, 2615, 5814, 2038, 3271, 2000, 5547, 4082, 5366, 1010, 4919, 2005, 26166, 16662, 1012, 2023, 2003, 8885, 2011, 2437, 1996, 1038, 2615, 28815, 6082, 2000, 28736, 1010, 2023, 16315, 2000, 2062, 2051, 5552, 1999, 2537, 1006, 2349, 2000, 2625, 2091, 7292, 5278, 4654, 16344, 29190, 12117, 1007, 1010, 1998, 1037, 2825, 3623, 1999, 28815, 3370, 2504, 1999, 1996, 3040, 14479, 2818, 1006, 16176, 6120, 1007, 1010, 4821, 4346, 13248, 3465, 10995, 1012, 2023, 3259, 2097, 2556, 1052, 2100, 1012, 19681, 1998, 13433, 1012, 6564, 28815, 8483, 2005, 1037, 3528, 1997, 26166, 5097, 1010, 2247, 2007, 2019, 10651, 2006, 10738, 16852, 1999, 1996, 7327, 1010, 3915, 1998, 2710, 1999, 3408, 1997, 1996, 2224, 1997, 8945, 7277, 5648, 1999, 28815, 20219, 2015, 1998, 5814, 1012, 1038, 2615, 28815, 2015, 2005, 26166, 2045, 2003, 1037, 2846, 1997, 1996, 10867, 28696, 3468, 1038, 2615, 28815, 2015, 2747, 2800, 2651, 2007, 3684, 9211, 1999, 1996, 2846, 1997, 13539, 1011, 3998, 7737, 2278, 2005, 26572, 9890, 16294, 2015, 1998, 13427, 1011, 13710, 7737, 2278, 2005, 26572, 10631, 6155, 1012, 2027, 2024, 4050, 23753, 3756, 1999, 20639, 2007, 2152, 9543, 3436, 3997, 1010, 2152, 10381, 21716, 2050, 1998, 6581, 6318, 2373, 1012, 2027, 8327, 2200, 2204, 3435, 2791, 2000, 3684, 1010, 2422, 1998, 4633, 2075, 1010, 2119, 1999, 2440, 8703, 1998, 9543, 2102, 1010, 1998, 2024, 13070, 2000, 12141, 2408, 2035, 8703, 11143, 1012, 5678, 1010, 2027, 2031, 5151, 3435, 2791, 2000, 9230, 1010, 2079, 2025, 3426, 24136, 2075, 2076, 6364, 1998, 3965, 8789, 2135, 6540, 4654, 16344, 13936, 1013, 13341, 1011, 27992, 4790, 1012, 1999, 2422, 1997, 2062, 9694, 26572, 9890, 16294, 1006, 21877, 1009, 4903, 1007, 5097, 2073, 2204, 4633, 3435, 2791, 2003, 3223, 2247, 2007, 6581, 3684, 9211, 1010, 1038, 2615, 28815, 2015, 5050, 1037, 9398, 4522, 2000, 2060, 15535, 5134, 2008, 2024, 2025, 2583, 2000, 5468, 2039, 2000, 2122, 4087, 5918, 1012, 3275, 1015, 3065, 1996, 6120, 19120, 1999, 10751, 5051, 1999, 2440, 8703, 2012, 3263, 7737, 2278, 1997, 1996, 2087, 4387, 8945, 7277, 5648, 1011, 2489, 1038, 2615, 28815, 2015, 2008, 2024, 6749, 2005, 2224, 1999, 10751, 5051, 1012, 5875, 2135, 1010, 1038, 2615, 2509, 2003, 2130, 2417, 4063, 1999, 8703, 2007, 3445, 2938, 18924, 1998, 2200, 2204, 3684, 9211, 1010, 2029, 21255, 2015, 1996, 6120, 11721, 28120, 2013, 23753, 1011, 3756, 2000, 14182, 1011, 3756, 20639, 2015, 1012, 3275, 1015, 1024, 6120, 19120, 1999, 10751, 5051, 1006, 2440, 8703, 2012, 3263, 7737, 2278, 1007, 1012, 1999, 1996, 23753, 3756, 8703, 2181, 1010, 1038, 2615, 2487, 1998, 1038, 2615, 2475, 4685, 17077, 2092, 1999, 10751, 5051, 1998, 26572, 21572, 7685, 11474, 2349, 2000, 2037, 5151, 3684, 9211, 1998, 2152, 5816, 6120, 3997, 1999, 9543, 2102, 1012, 1038, 2615, 1521, 1055, 2024, 6413, 2005, 4654, 16344, 13936, 3688, 2007, 3811, 10381, 23645, 8604, 1012, 1037, 7218, 5724, 1999, 1996, 14182, 2181, 2003, 3421, 2011, 1038, 2615, 2509, 1010, 2007, 5301, 6120, 3997, 1999, 9543, 2102, 4102, 2007, 1038, 2615, 2475, 1006, 3275, 1016, 1007, 1012, 3275, 1016, 1024, 3684, 9211, 1006, 2440, 8703, 1007, 1998, 6120, 3997, 1006, 1015, 1024, 1015, 9543, 2102, 1999, 10751, 5051, 1007, 1012, 26572, 10631, 6155, 1998, 3330, 27216, 5157, 2130, 3020, 3684, 9211, 1012, 7145, 1010, 2023, 2038, 10892, 2042, 4719, 2011, 5675, 3436, 1038, 2615, 28815, 2015, 2007, 8945, 7277, 5648, 1010, 2004, 6936, 3130, 1012, 1996, 2930, 4709, 1523, 8945, 7277, 5648, 10738, 10651, 2011, 2181, 1524, 5577, 1996, 10738, 14422, 3141, 2000, 1996, 2224, 1997, 8945, 7277, 5648, 1999, 1996, 2206, 2752, 1024, 1011, 20219, 1997, 8150, 2015, 1998, 1013, 2030, 2128, 1011, 14793, 1998, 2311, 1998, 2810, 2147, 1011, 5814, 1997, 12141, 1010, 9754, 3688, 1006, 1041, 1012, 1043, 1012, 15673, 2015, 1010, 11297, 1007, 1010, 10394, 1998, 4683, 1010, 24212, 3384, 3688, 1998, 11970, 2053, 3830, 2989, 2003, 3223, 2006, 3688, 2008, 2031, 1037, 8945, 7277, 5648, 2504, 1997, 1026, 1019, 1012, 1019, 1003, 1012, 1996, 4955, 1997, 8945, 7277, 5648, 2046, 1038, 2615, 28815, 20219, 2015, 7545, 1037, 2350, 5770, 1999, 3408, 1997, 1996, 5301, 3684, 9211, 1010, 3568, 5041, 7406, 2037, 2224, 1999, 26166, 1012, 2174, 1010, 1996, 2713, 1997, 2300, 2076, 6364, 2089, 2022, 3697, 2000, 2491, 2076, 4654, 16344, 14499, 1012, 5678, 1010, 1996, 18479, 22731, 1997, 27216, 2064, 2202, 2173, 1010, 3391, 1999, 26572, 20367, 1998, 26572, 26190, 3686, 2043, 1037, 3020, 6693, 1006, 8419, 1028, 2184, 1003, 2006, 1996, 2561, 20219, 1007, 1997, 8945, 7277, 5648, 2003, 3107, 1012, 3568, 1010, 8945, 7277, 5648, 1011, 2489, 4617, 2007, 5151, 3684, 9211, 1998, 6120, 3997, 1010, 5050, 1037, 3824, 4245, 1997, 1038, 2615, 28815, 2015, 2008, 2031, 3618, 12646, 2007, 2651, 1521, 1055, 9694, 10738, 9259, 1012, 3391, 1010, 1038, 2615, 2549, 2038, 2042, 2881, 4919, 2005, 2224, 1999, 26572, 10631, 6155, 1998, 2060, 3330, 26166, 1998, 2003, 2583, 2000, 5441, 2049, 4550, 2665, 8703, 2130, 2043, 13995, 2012, 2152, 4860, 1006, 1028, 3998, 7737, 2278, 1007, 1012, 1996, 3145, 5144, 1997, 1038, 2615, 2549, 2024, 1024, 1011, 4550, 1010, 23753, 3756, 8703, 1999, 26572, 10631, 3207, 24604, 2015, 1011, 3284, 3684, 9211, 1999, 26572, 10631, 3207, 1997, 2035, 8945, 7277, 5648, 1011, 2489, 3688, 1999, 1996, 3006, 1011, 2714, 3684, 9211, 1999, 26572, 10631, 3207, 2004, 8945, 7277, 5648, 4820, 3688, 1011, 2053, 2300, 2713, 2076, 6364, 1010, 2947, 10723, 17782, 18479, 2135, 9276, 1011, 6581, 4633, 3435, 2791, 1999, 3742, 4309, 1998, 9543, 2102, 1038, 2615, 2629, 2038, 2042, 1996, 4431, 3115, 2005, 3330, 26166, 2005, 2116, 2086, 1012, 2009, 2064, 2022, 25273, 2007, 3375, 28256, 11401, 28815, 2015, 1998, 7554, 28815, 2015, 2429, 2000, 1996, 2203, 1011, 2224, 5918, 1012, 1038, 2615, 2575, 2003, 7218, 2005, 2224, 1999, 2087, 3330, 26166, 2164, 26572, 10631, 3207, 1010, 26572, 20367, 1010, 2358, 16363, 8713, 2015, 1998, 4958, 2140, 1012, 8945, 7277, 5648, 2489, 1038, 2615, 2549, 2003, 2172, 2062, 10381, 23645, 2043, 4102, 2000, 8945, 7277, 5648, 4820, 28815, 2015, 2349, 2000, 1996, 2047, 16350, 5814, 5461, 4846, 1012, 2122, 16350, 5814, 5461, 2036, 2507, 1038, 2615, 2549, 2049, 11813, 3684, 9211, 2004, 2092, 1012, 3275, 1017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 7523, 2062, 2585, 13852, 6305, 6895, 2006, 3117, 13172, 3191, 2585, 13852, 6305, 6895, 1521, 1055, 19130, 2252, 2808, 1999, 2344, 3191, 2585, 13852, 6305, 6895, 1521, 1055, 2198, 4139, 2121, 2186, 1999, 2344, 2585, 13852, 6305, 6895, 1521, 1055, 2097, 6487, 2666, 2808, 1999, 2344, 3191, 2585, 13852, 6305, 6895, 1521, 1055, 2332, 1004, 10691, 2186, 1999, 2344, 2585, 13852, 6305, 6895, 1521, 1055, 5440, 4438, 6317, 3152, 1006, 1998, 2010, 5440, 2995, 4126, 16110, 1007, 2585, 13852, 6305, 6895, 7566, 2146, 2346, 2000, 8673, 1004, 2012, 10559, 7222, 2707, 5962, 1024, 2146, 2346, 2000, 8673, 2011, 2585, 13852, 6305, 6895, 5746, 8654, 1996, 5357, 1011, 3127, 1015, 2040, 2730, 2017, 1029, 2030, 1010, 2040, 7129, 2017, 1029, 2045, 2001, 1010, 2044, 2035, 1010, 1037, 5664, 4489, 1012, 13744, 20946, 2109, 2048, 3093, 2000, 3300, 1011, 18293, 2010, 2353, 5835, 1997, 5404, 1997, 1996, 3944, 2096, 2002, 23133, 2122, 3980, 1012, 2002, 2354, 2008, 2087, 2111, 2196, 2245, 2055, 2122, 2477, 2138, 2027, 2018, 2053, 3114, 2000, 2079, 2061, 1012, 2664, 10739, 1996, 3732, 3160, 14125, 11846, 1037, 2307, 9625, 1997, 20946, 1521, 1055, 2658, 2166, 1010, 2029, 2001, 2428, 1996, 2069, 2166, 2002, 2018, 2187, 1012, 2002, 2001, 2036, 5204, 2008, 1996, 4489, 2090, 1996, 2048, 10861, 5134, 2001, 2062, 3375, 2084, 2070, 2453, 2031, 3373, 1012, 2005, 2742, 1010, 2028, 2071, 3102, 1037, 2711, 2302, 16873, 4028, 1012, 2045, 2001, 17128, 2331, 1024, 2115, 2482, 21089, 25967, 2046, 2178, 2007, 2331, 2004, 1037, 2765, 1010, 2030, 2017, 4530, 1037, 3282, 1998, 2009, 3632, 2125, 1998, 1996, 5045, 7960, 9326, 1037, 2011, 21515, 2121, 1012, 2619, 2001, 2757, 2021, 2009, 2347, 1521, 1056, 4028, 1012, 2045, 2001, 7197, 5920, 1012, 1037, 5536, 2135, 5665, 2711, 2003, 6114, 1998, 4122, 2000, 2203, 2009, 1010, 1998, 2017, 2393, 1996, 2711, 2000, 2079, 2061, 1012, 1996, 3218, 2001, 3423, 1999, 2070, 3182, 1998, 22300, 1999, 2500, 1012, 2153, 1010, 2619, 2001, 2757, 1998, 1010, 4406, 1996, 17128, 2331, 1010, 1996, 2331, 2001, 21249, 1010, 2021, 2009, 2001, 2025, 1996, 2168, 2004, 4028, 1010, 2138, 2017, 4694, 1521, 1056, 2725, 2009, 2005, 2115, 2219, 5770, 1012, 2045, 2001, 2074, 10128, 19210, 18268, 1010, 1996, 2190, 2742, 1997, 2029, 2001, 2969, 1011, 3639, 1012, 2045, 2017, 3832, 2000, 7386, 2178, 1998, 2017, 2020, 2725, 2061, 2005, 2115, 3167, 5770, 1010, 2021, 1996, 2375, 2056, 2017, 2018, 1996, 2157, 2000, 6985, 4426, 1010, 2029, 14209, 2009, 2013, 2108, 4028, 1012, 20946, 17735, 2010, 5404, 2004, 2002, 2253, 2083, 1996, 11177, 3787, 1997, 15734, 4566, 1996, 2166, 1997, 2178, 1012, 4028, 3223, 1996, 3563, 5783, 1997, 28238, 21358, 5686, 2705, 10593, 2102, 1010, 2029, 2001, 2025, 2556, 2007, 2151, 1997, 1996, 2060, 7236, 1997, 18268, 2002, 1521, 1040, 2042, 6195, 1012, 2085, 1010, 20946, 2716, 2023, 2240, 1997, 2245, 2067, 2000, 2032, 1012, 1996, 8401, 4355, 3423, 8465, 1997, 2035, 2020, 9235, 2005, 4490, 1997, 4028, 1010, 2138, 2054, 2001, 2062, 9062, 2084, 2529, 2166, 1029, 1999, 2375, 7285, 1010, 1996, 2190, 1998, 1996, 26849, 23142, 2037, 2658, 10007, 2015, 2000, 5690, 2091, 2216, 2040, 1010, 2007, 28238, 21358, 5686, 2705, 10593, 2102, 1998, 2005, 2037, 3167, 5770, 1010, 15734, 2165, 2178, 1521, 1055, 2166, 1012, 1998, 2008, 1521, 1055, 2054, 20946, 2018, 2589, 2471, 2010, 2972, 4639, 2166, 1012, 1998, 2002, 2052, 3613, 2000, 2079, 2061, 2127, 2002, 2071, 2079, 2009, 2053, 2936, 1012, 2002, 2165, 2178, 10668, 1997, 5404, 1012, 1045, 4608, 28882, 1012, 2009, 1521, 1055, 2428, 1996, 2069, 2518, 1045, 1521, 1049, 2204, 2012, 1012, 2002, 3592, 2041, 2012, 1996, 2305, 3712, 2058, 7855, 3552, 2379, 1996, 4058, 3675, 1999, 1037, 2173, 2170, 5797, 3077, 1012, 2002, 2018, 2657, 2009, 2018, 2320, 2042, 1037, 20319, 4971, 1998, 5471, 2237, 1010, 11427, 2049, 2200, 4598, 2000, 1996, 15248, 5797, 2155, 1010, 2029, 2018, 1010, 2146, 3283, 1010, 8655, 1996, 7134, 1998, 2328, 1996, 6341, 1012, 2174, 1010, 2216, 5209, 1997, 6236, 2020, 2146, 2144, 2908, 1012, 2054, 2001, 2187, 2347, 1521, 1056, 2172, 1012, 2664, 2111, 2790, 2000, 2022, 2893, 2011, 1999, 1037, 3528, 1997, 3971, 1010, 1998, 2007, 9671, 5445, 1997, 3112, 1012, 1037, 2714, 4013, 3630, 17457, 3672, 2071, 2022, 2081, 2006, 2116, 2107, 3182, 2408, 2637, 1012, 2503, 1996, 2160, 1010, 2010, 8495, 4256, 4074, 9389, 10929, 2001, 6631, 1037, 3221, 1997, 2317, 4511, 2007, 2014, 3080, 2905, 1010, 8994, 1010, 1998, 3331, 2000, 2014, 3653, 3597, 18436, 2809, 1011, 2095, 1011, 2214, 12286, 1010, 11199, 1012, 2002, 1998, 9389, 10929, 2020, 2182, 2006, 10885, 2013, 13729, 2002, 5740, 2271, 6997, 2096, 2551, 2006, 1037, 2569, 4708, 2486, 2012, 1996, 8495, 2067, 1999, 2899, 1012, 20946, 2018, 2042, 11542, 2000, 2175, 2007, 9389, 10929, 1010, 2021, 2037, 5795, 1010, 2569, 4005, 22132, 8445, 1010, 2018, 7278, 2008, 20946, 2202, 2070, 2828, 1997, 1037, 2717, 1012, 1998, 2043, 9389, 10929, 2018, 4081, 2008, 2002, 12673, 2014, 2006, 1037, 3942, 2000, 2014, 2905, 1010, 20946, 2481, 1521, 1056, 2228, 1997, 1037, 2309, 2060, 2173, 2000, 2175, 1012, 2061, 2182, 1045, 2572, 1012, 2002, 2165, 2178, 10668, 1997, 2010, 5404, 1998, 3273, 2010, 2946, 7426, 2519, 1012, 2043, 2027, 2018, 3369, 2182, 1010, 25795, 2018, 2042, 2081, 1010, 24459, 2445, 1010, 8242, 5134, 10573, 1010, 8641, 2404, 2185, 1998, 9389, 10929, 2018, 2445, 2041, 2160, 9028, 6562, 9604, 2000, 2014, 2905, 1998, 12286, 1010, 2138, 8994, 1998, 2014, 2155, 2018, 2069, 3728, 2333, 2182, 1012, 4596, 2001, 2081, 1998, 8828, 1010, 2021, 2146, 2077, 2059, 20946, 2018, 2448, 2041, 1997, 2477, 2000, 2360, 1998, 4784, 1997, 2054, 2052, 2022, 14286, 11701, 2000, 2079, 1012, 1998, 2008, 1521, 1055, 2043, 9389, 10929, 1010, 2040, 2354, 2032, 3383, 2488, 2084, 3087, 2842, 1010, 2018, 5168, 4081, 2008, 2002, 2202, 2010, 5404, 1011, 1011, 1998, 2010, 9596, 2791, 1516, 2648, 1010, 2061, 1996, 5208, 2071, 4608, 2039, 1999, 1996, 2126, 2008, 2308, 2411, 2106, 1010, 2096, 2053, 2273, 2020, 2105, 1012, 1996, 2591, 9596, 2791, 2018, 2025, 2467, 2042, 1037, 2112, 1997, 2032, 1012, 1996, 2416, 1011, 3329, 1011, 2274, 1010, 2093, 3634, 4606, 1011, 1011, 2092, 2672, 2062, 2084, 3432, 4606, 1516, 20946, 1010, 1037, 2280, 2658, 2374, 2447, 2018, 2320, 2042, 22011, 1010, 6754, 16843, 2271, 1010, 1037, 2978, 27243, 2130, 1010, 2021, 4569, 8295, 1998, 2467, 3201, 2007, 1037, 21864, 2361, 1012, 2059, 2018, 2272, 1996, 13925, 28279, 5178, 2718, 2006, 1996, 2132, 2006, 1996, 2374, 2492, 2008, 2018, 2904, 2010, 2166, 1010, 1998, 2040, 2002, 2001, 1010, 5091, 1012, 1996, 4525, 4167, 12603, 2018, 2471, 2730, 2032, 1012, 1998, 2096, 2002, 2018, 5175, 1010, 1996, 6271, 5359, 2006, 1996, 25233, 1997, 1996, 3098, 2208, 1997, 1996, 3180, 2161, 2005, 1996, 6044, 13240, 2018, 3140, 2010, 4167, 2000, 2128, 20357, 2993, 2000, 25022, 11890, 2819, 15338, 5591, 3033, 1998, 3499, 8907, 2000, 5258, 1012, 2023, 2832, 2018, 2187, 2048, 5664, 6017, 2006, 2032, 1012, 2028, 2001, 23760, 10760, 7834, 2401, 1010, 2030, 3819, 9131, 1012, 2002, 2001, 1996, 3638, 2158, 7687, 1010, 4039, 2000, 5293, 2505, 1012, 20946, 2018, 2179, 2009, 1037, 27873, 3816, 13301, 1012, 1996, 2117, 2765, 1997, 1996, 2718, 2001, 2010, 4975, 19962, 25344, 1012, 2002, 3378, 5976, 2477, 1010, 2066, 2331, 1010, 2007, 1037, 3609, 1012, 1999, 1996, 2553, 1997, 2331, 1010, 1996, 3609, 2001, 1037, 25292, 19357, 2140, 3751, 2630, 2008, 2071, 5333, 1996, 13606, 2006, 1996, 2067, 1997, 20946, 1521, 1055, 3300, 1998, 2191, 2032, 2514, 5305, 2000, 2010, 4308, 1012, 2247, 2007, 2010, 4167, 2689, 1010, 2010, 6180, 2018, 2904, 2004, 2092, 1012, 1996, 6754, 16843, 2271, 4569, 1011, 8295, 26418, 6238, 2018, 5091, 9955, 1998, 1999, 2049, 2173, 1011, 2007, 2010, 2374, 2476, 20868, 2890, 14028, 17296, 2058, 1010, 2002, 2018, 2908, 2006, 2000, 2468, 1037, 8872, 1998, 2059, 1037, 18268, 6317, 1999, 2010, 9627, 1997, 15552, 1010, 4058, 1012, 2002, 2018, 2042, 2496, 2000, 1037, 6919, 1010, 8403, 2450, 2315, 15609, 1010, 2030, 8869, 2004, 2002, 2467, 2170, 2014, 1010, 1998, 2027, 2018, 2018, 1037, 3376, 2775, 2315, 9618, 1012, 2009, 2001, 2035, 2627, 9049, 2138, 2002, 2053, 2936, 2018, 1037, 6919, 2564, 2030, 1037, 3376, 2775, 1012, 2040, 2730, 2017, 1029, 2040, 7129, 2017, 1029, 2092, 1010, 20946, 2018, 6618, 2041, 2040, 2018, 2579, 2010, 2155, 2013, 2032, 1012, 1998, 1996, 2711, 2018, 3825, 1996, 7209, 3976, 1012, 2664, 2009, 2001, 2498, 1999, 7831, 2000, 1996, 3976, 2008, 20946, 2018, 3825, 1012, 2008, 2002, 2506, 3477, 1012, 2008, 2002, 2052, 3477, 2296, 3371, 2127, 2002, 3881, 2010, 2197, 3052, 1012, 1523, 5916, 4074, 2758, 2017, 2064, 1521, 1056, 5293, 2505, 1012, 1524, 20946, 2357, 2013, 2010, 14163, 7741, 2015, 2000, 1996, 3120, 1997, 1996, 23032, 1012, 11199, 6395, 1010, 5519, 8855, 18865, 2015, 1010, 2146, 10353, 5061, 3797, 2007, 4870, 2006, 2009, 1998, 2317, 9132, 4760, 2125, 11737, 21132, 5042, 1010, 3592, 16484, 2012, 2032, 2408, 1996, 9381, 1997, 1996, 4799, 5877, 4987, 2000, 1996, 2067, 1997, 2014, 2160, 1012, 1523, 2026, 3638, 1521, 1055, 3492, 2204, 1010, 3398, 1010, 1524, 2056, 20946, 1012, 11199, 2218, 2039, 1037, 7123, 1997, 3259, 1012, 2006, 2009, 2020, 2055, 4228, 2200, 2146, 3616, 1012, 2016, 2979, 2009, 2000, 2032, 1012, 1523, 2064, 2017, 3342, 2035, 2122, 1029, 1524, 2016, 2356, 11504, 1012, 20946, 3887, 2012, 2009, 1998, 2059, 4375, 1996, 3259, 2067, 2000, 2014, 1012, 1523, 2515, 2008, 2812, 2017, 2064, 1521, 1056, 3342, 2068, 1029, 1524, 2056, 11199, 1010, 1996, 10520, 3154, 2006, 2014, 10424, 11012, 3709, 2227, 1012, 1523, 2053, 1010, 2009, 2965, 2008, 1045, 2525, 2106, 1012, 1524, 2002, 24843, 1996, 3616, 2067, 2000, 2014, 1010, 1999, 1996, 2168, 2344, 2027, 2596, 2006, 1996, 3931, 1010, 2138, 2008, 1521, 1055, 2054, 2002, 2387, 1999, 2010, 2132, 1024, 1996, 3931, 1997, 3616, 1012, 2016, 3631, 2046, 1037, 11868, 2100, 5861, 1012, 1523, 2008, 2003, 2061, 4658, 1012, 1524, 1523, 2017, 2228, 2061, 1029, 1524, 2056, 20946, 1012, 2014, 5122, 2630, 2159, 8723, 2012, 2010, 17674, 1012, 1523, 2123, 1521, 1056, 2017, 1029, 1524, 1523, 2823, 1010, 3398, 1012, 2009, 2064, 2022, 4658, 1012, 1524, 2002, 4016, 2114, 1996, 5877, 15747, 1998, 17735, 2010, 5404, 2096, 11199, 3427, 2032, 1012, 1523, 5916, 4074, 2758, 2017, 4608, 2919, 2111, 1012, 1524, 1523, 2057, 2079, 2009, 2362, 1012, 2016, 1521, 1055, 2288, 2204, 16160, 1012, 1524, 11199, 2246, 2012, 2032, 1999, 1037, 14909, 2126, 1012, 2002, 4541, 1010, 1523, 2016, 9631, 2111, 2428, 2092, 1012, 2016, 5927, 2477, 2008, 2500, 2123, 1521, 1056, 1012, 1524, 1523, 2016, 1521, 1055, 2026, 5440, 5916, 1012, 1524, 1523, 2129, 2116, 5916, 2015, 2079, 2017, 2031, 1029, 1524, 2016, 5489, 1012, 1523, 1037, 2843, 1012, 3904, 1997, 2068, 2024, 2004, 4658, 2004, 5916, 4074, 1012, 1524, 2016, 28996, 1012, 1523, 2016, 2234, 2000, 3942, 2138, 2026, 5798, 2003, 2471, 2182, 1012, 1045, 1521, 1049, 3810, 3157, 1012, 1524, 1523, 1045, 2657, 1012, 2057, 1521, 2128, 2035, 2183, 2041, 2000, 4596, 2005, 2009, 1012, 1524, 20946, 2246, 2105, 18822, 2004, 11199, 2506, 2000, 3422, 2032, 1012, 1523, 2017, 1521, 2128, 2428, 2502, 1010, 1524, 2016, 5159, 1012, 1523, 2025, 1996, 2034, 2051, 1045, 1521, 2310, 2657, 2008, 1012, 1524, 1523, 2017, 2180, 1521, 1056, 2292, 2151, 1997, 1996, 2919, 2111, 3480, 5916, 4074, 1010, 2097, 2017, 1029, 1524, 2356, 11199, 1010, 2014, 2838, 1998, 4309, 3402, 3810, 11480, 1012, 20946, 2018, 2042, 2055, 2000, 2202, 1037, 10668, 1997, 5404, 1012, 2002, 3254, 6668, 1996, 5835, 1012, 1523, 2053, 1010, 1045, 2180, 1521, 1056, 1012, 1045, 2812, 1010, 1045, 1521, 2222, 2079, 2026, 2190, 2196, 2000, 2292, 2008, 4148, 1010, 1524, 2002, 2794, 1037, 2978, 20342, 2135, 1012, 2045, 2001, 1037, 2659, 15658, 1997, 8505, 1999, 1996, 3292, 1012, 1523, 1045, 3984, 1037, 4040, 2003, 2746, 1010, 1524, 5159, 20946, 2855, 1010, 2559, 2005, 2151, 2126, 2000, 2689, 1996, 3395, 1012, 2002, 3887, 2012, 11199, 2000, 2424, 2014, 7036, 3657, 2145, 22502, 2006, 2032, 1012, 2002, 2246, 2185, 2004, 2178, 9535, 27431, 2140, 13349, 1997, 8505, 2001, 2657, 1012, 2621, 2001, 2058, 1010, 2021, 1996, 8505, 19718, 2015, 2411, 10860, 1996, 7367, 9077, 2046, 2220, 2991, 2596, 2000, 2022, 3929, 5117, 1012, 1523, 4040, 1521, 1055, 5791, 2893, 3553, 1010, 1524, 2056, 20946, 1010, 2062, 2000, 2370, 2084, 2000, 11199, 1012, 2002, 2246, 2012, 1996, 2160, 2369, 1996, 2028, 11199, 2973, 1999, 1012, 2009, 2790, 2019, 6635, 6100, 1012, 2168, 24319, 1010, 2168, 4799, 5877, 2125, 1996, 2067, 1012, 2168, 24319, 1997, 4220, 1012, 2168, 2828, 1997, 11035, 21526 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2131, 1996, 2190, 3463, 2007, 2482, 2532, 19761, 13844, 1516, 11772, 9497, 1529, 13844, 4107, 1037, 4954, 1011, 2298, 3302, 2005, 6773, 1998, 16180, 5973, 2013, 1015, 1011, 1016, 2706, 2005, 12509, 1011, 2006, 13844, 2229, 2000, 2004, 2146, 2004, 1017, 1011, 1018, 2706, 2065, 2017, 2224, 1037, 7511, 2828, 1012, 1996, 2190, 2482, 13844, 2229, 2024, 3465, 4621, 1010, 3722, 2000, 6611, 1010, 1998, 3749, 9879, 3860, 1012, 2190, 2482, 17555, 3688, 1012, 2027, 2393, 3288, 2067, 10958, 11692, 3401, 1998, 10655, 4047, 2013, 1996, 3103, 1521, 1055, 8401, 9938, 1012, 1057, 1012, 1055, 1012, 1011, 4435, 5072, 4364, 2038, 1037, 5891, 2005, 12882, 2482, 1011, 2729, 5167, 2012, 1037, 5166, 5379, 3446, 1006, 2190, 2482, 17555, 3688, 1007, 1012, 5072, 4364, 2025, 2069, 3084, 2307, 3737, 4316, 3860, 1998, 9344, 5167, 1010, 2021, 2079, 2009, 1999, 1037, 18378, 1998, 4569, 2126, 2008, 3084, 2635, 2729, 1997, 2115, 6773, 2147, 1037, 8404, 1012, 1996, 4435, 1521, 1055, 12136, 4954, 13844, 2003, 1037, 3465, 4621, 1998, 10539, 5724, 2005, 2115, 6773, 1012, 1996, 27216, 5416, 2000, 2115, 6773, 1998, 3749, 1996, 9474, 5435, 1037, 19638, 2298, 2084, 2017, 1520, 1040, 4728, 2131, 1012, 2027, 2036, 5587, 4241, 2527, 8553, 2000, 1996, 13844, 1012, 1996, 2194, 14067, 2049, 23068, 9474, 7590, 2004, 2028, 1997, 1996, 10232, 12637, 1997, 2023, 8875, 1010, 1998, 5198, 23289, 2055, 1996, 2146, 1011, 9879, 12342, 1012, 2006, 1996, 4997, 2217, 1010, 2009, 2003, 1037, 2210, 2062, 3697, 2000, 2224, 2084, 2070, 3688, 1010, 1998, 2009, 3475, 1521, 1056, 2004, 3647, 2006, 4717, 2063, 12321, 2030, 12241, 3688, 2004, 2500, 1012, 2054, 1521, 1055, 1996, 2190, 4954, 2298, 2482, 13844, 2000, 2191, 2115, 2482, 2298, 1529, 3465, 6047, 1010, 2023, 2003, 2157, 1999, 1996, 3054, 2846, 1998, 3640, 2488, 1010, 2062, 5377, 13105, 2005, 1996, 2779, 5310, 2084, 2172, 2062, 6450, 7047, 1012, 4060, 12669, 10179, 2906, 1521, 1055, 2065, 2017, 2215, 1037, 10539, 3926, 2013, 1037, 4031, 2008, 10334, 2064, 2224, 1012, 16360, 23056, 21553, 1010, 8335, 3463, 1010, 3774, 1997, 12553, 6177, 1010, 2025, 2004, 2524, 2004, 2060, 13844, 2229, 1010, 2054, 4205, 1521, 1055, 2515, 2025, 2031, 1999, 6450, 10873, 2009, 8681, 1999, 3606, 3993, 15258, 1012, 2190, 2482, 17555, 3688, 1012, 2017, 4792, 1037, 12509, 1011, 2006, 13844, 1029, 2182, 1521, 1055, 2028, 1010, 2009, 1521, 1055, 2170, 1010, 1523, 12509, 13844, 1524, 1012, 2009, 2003, 29592, 2007, 2482, 2532, 19761, 13109, 20060, 1998, 4107, 2784, 1010, 4138, 12342, 1998, 2706, 1997, 2300, 16360, 24178, 3036, 2005, 2115, 6773, 1012, 1996, 2385, 18153, 5835, 2097, 3104, 2130, 1996, 3469, 15620, 2015, 1998, 9322, 2006, 1996, 2346, 1010, 2349, 2000, 1996, 2755, 2008, 1037, 2210, 3632, 1037, 2146, 4118, 1012, 4205, 1521, 1055, 2003, 3647, 2006, 8903, 1010, 6081, 1010, 1998, 13061, 12241, 2004, 2092, 2004, 2092, 3653, 1011, 15026, 2030, 8877, 1011, 15026, 2303, 6198, 1012, 2070, 5198, 23289, 2055, 1996, 20710, 2361, 9766, 24980, 1010, 1998, 2057, 2079, 2205, 1516, 2190, 2482, 17555, 3688, 1012, 2017, 2064, 6611, 2009, 10620, 2030, 4318, 1010, 2295, 2057, 2467, 16755, 1037, 4318, 1010, 22824, 2181, 2041, 1997, 3622, 9325, 1012, 3733, 2000, 6611, 1010, 3737, 12342, 1010, 2025, 2004, 9879, 2004, 3115, 13844, 1010, 2844, 23958, 1010, 1996, 2210, 8310, 1997, 3907, 19803, 2046, 2023, 5760, 2482, 2532, 19761, 19351, 13844, 2013, 3566, 2015, 2393, 4550, 2115, 6773, 1998, 9526, 3576, 28693, 2015, 1998, 25980, 1012, 2054, 2003, 1996, 2190, 2482, 13844, 2000, 2224, 1029, 1516, 10434, 2167, 2482, 9378, 1529, 1996, 7328, 9526, 2015, 17077, 2524, 1010, 2029, 2003, 2307, 2005, 3639, 1010, 2021, 2625, 6581, 2065, 2017, 2123, 1521, 1056, 23176, 2009, 4318, 2855, 2438, 1012, 1996, 7826, 2006, 1996, 2064, 2097, 2393, 2017, 2182, 1012, 2023, 2003, 1037, 5166, 1011, 5379, 4047, 4630, 2008, 4107, 6581, 3463, 2007, 1037, 2210, 2062, 8999, 21956, 1998, 12276, 2084, 2062, 2715, 1011, 2154, 12509, 1011, 2006, 4127, 1012, 13170, 13844, 3268, 2039, 2000, 2049, 2650, 2501, 2005, 15873, 6773, 3860, 2007, 2023, 2524, 1011, 4292, 1998, 10889, 21791, 19351, 13844, 1012, 2023, 2640, 1997, 13844, 2003, 2625, 1998, 2625, 2759, 2122, 2420, 1010, 2004, 5013, 5130, 5454, 5514, 1998, 12277, 3771, 12509, 1011, 2006, 4127, 1516, 2190, 2482, 17555, 3688, 1012, 2065, 2017, 4792, 17638, 1998, 24501, 18622, 4765, 3860, 2005, 2115, 6773, 1010, 2017, 2097, 2025, 2424, 2009, 2488, 2084, 2023, 1012, 4406, 2060, 9804, 2182, 1010, 13170, 13844, 2038, 2053, 2613, 6518, 1010, 1998, 2009, 1521, 1055, 1037, 27571, 7685, 1010, 14477, 4779, 26884, 2326, 1999, 1996, 14366, 1012, 2006, 1996, 4606, 2217, 2009, 16180, 2005, 3155, 1037, 5476, 2006, 1996, 11142, 1010, 1998, 2028, 14366, 2003, 2062, 2084, 2438, 2005, 1037, 2843, 1997, 19207, 2006, 1996, 2346, 1012, 2012, 2023, 3446, 1010, 2017, 2064, 1521, 1056, 2175, 3308, 2007, 13170, 13844, 3565, 2524, 5806, 19351, 1516, 2190, 2482, 17555, 3688, 1012, 2482, 13844, 2075, 4860, 1024, 2043, 2003, 1996, 2190, 2051, 2000, 13844, 2115, 1529, 2060, 5198, 2293, 1996, 3465, 2391, 2005, 1996, 19045, 7451, 3590, 18153, 5835, 1012, 2017, 2064, 3424, 6895, 17585, 2055, 1017, 2706, 1997, 3639, 2013, 2023, 4857, 2326, 1010, 2029, 2003, 2625, 2084, 2060, 13844, 2229, 2021, 2006, 11968, 2007, 2070, 12509, 1011, 2006, 2015, 1012, 4646, 2003, 3733, 1998, 4248, 1010, 1998, 1996, 12342, 2003, 2488, 2084, 1996, 3484, 1997, 9169, 1012, 3565, 3733, 2000, 2224, 1010, 2307, 12342, 1010, 4857, 5724, 1010, 2025, 2004, 2146, 1011, 9879, 2004, 2070, 1010, 1052, 17465, 2015, 3475, 1521, 1056, 1037, 4398, 2171, 5921, 2482, 4599, 1010, 2174, 2009, 2003, 5921, 6739, 12945, 6987, 2545, 1006, 2190, 2482, 17555, 3688, 1007, 1012, 4050, 1010, 2524, 19351, 13844, 2229, 3073, 1996, 2190, 3639, 2013, 1996, 3103, 1998, 1996, 6493, 1011, 9879, 6741, 1997, 18479, 20200, 1998, 23068, 1011, 10851, 1010, 2174, 2024, 2062, 3697, 2000, 2224, 1012, 6381, 19351, 2003, 2172, 6082, 2000, 2224, 1010, 2174, 2025, 2004, 2146, 9879, 1998, 4703, 2025, 2004, 12990, 1999, 1996, 2345, 3926, 1012, 12509, 1011, 2006, 13844, 2229, 4666, 1996, 2200, 2190, 1997, 2119, 8484, 2011, 10886, 24604, 2015, 1998, 27216, 2000, 1996, 4666, 1012, 7887, 9378, 2115, 4316, 1998, 4318, 2009, 7919, 2077, 2478, 13844, 1010, 4728, 2017, 1521, 2128, 3432, 22977, 6900, 1999, 2090, 2009, 1998, 2115, 6773, 1012, 2017, 2442, 10655, 4638, 2041, 1996, 3830, 12246, 1012, 2070, 13844, 2229, 2342, 1037, 12318, 9367, 3188, 2000, 10137, 4318, 1010, 1998, 2216, 9367, 2015, 11234, 2013, 8875, 2000, 4031, 1012, 2190, 2482, 17555, 3688, 1012, 2043, 2017, 1521, 2128, 4012, 12031, 2008, 2115, 6773, 2003, 4550, 1998, 2017, 2031, 7039, 2041, 1996, 7826, 1010, 6611, 1037, 4857, 6741, 1997, 13844, 1999, 2235, 5433, 1012, 2190, 12509, 13844, 2005, 3765, 1010, 9322, 1004, 15620, 2015, 1516, 6381, 2482, 13844, 1529, 2748, 1010, 9935, 13844, 2229, 2031, 11113, 8180, 3512, 4475, 1999, 2068, 2008, 10655, 2079, 1996, 2147, 1997, 3765, 1998, 4744, 3907, 1010, 2021, 29321, 2135, 1012, 22953, 21046, 3070, 2029, 1010, 9935, 3907, 2003, 2081, 2039, 1997, 11113, 8180, 3512, 4475, 2008, 2024, 12550, 2000, 2131, 9436, 1997, 2235, 25980, 1998, 9239, 1996, 2482, 1521, 1055, 12342, 1012, 2009, 2003, 2109, 2043, 1996, 4316, 2648, 2038, 10634, 2098, 2091, 2349, 2000, 3180, 3622, 7524, 2000, 1996, 9325, 1012, 2065, 1996, 3302, 12394, 2024, 5186, 3371, 1010, 2059, 16911, 1037, 2482, 13844, 2052, 2079, 1996, 7577, 1012, 3765, 1998, 4744, 13844, 2229, 2024, 6360, 15849, 16102, 14138, 4316, 3907, 2229, 1999, 5647, 2030, 3293, 5144, 1012, 2174, 2119, 2024, 2367, 5167, 1998, 2019, 9935, 13844, 2003, 2109, 4050, 2044, 2019, 4866, 3907, 2075, 1997, 1996, 3302, 2181, 1012, 2054, 2000, 4562, 1999, 2568, 3188, 2000, 16911, 1037, 2482, 13844, 1029, 2122, 3688, 2024, 5072, 2135, 3161, 1998, 2061, 2017, 5478, 2000, 2568, 3993, 2043, 11243, 2068, 1012, 2009, 2003, 2256, 14982, 2000, 28693, 2096, 26799, 2030, 9344, 1037, 3302, 1012, 2079, 20703, 2013, 2009, 2043, 2478, 9935, 13844, 1516, 2190, 2482, 17555, 3688, 1012, 2009, 2003, 7887, 1037, 2204, 2801, 2000, 2131, 10427, 16453, 2007, 1037, 2067, 1998, 5743, 2929, 2005, 23569, 28591, 13105, 1012, 2054, 2024, 1996, 2536, 7957, 1997, 4316, 13844, 2229, 1029, 4316, 13844, 2229, 2031, 8358, 1999, 18700, 1998, 12760, 1012, 2190, 12509, 2482, 13844, 2005, 25682, 1516, 10247, 3154, 2043, 2009, 2566, 18249, 2015, 2000, 12760, 1010, 2009, 2003, 2153, 4055, 2046, 1017, 2350, 4127, 1516, 3019, 1010, 12553, 1010, 1998, 14692, 2241, 1012, 13844, 2229, 2241, 2588, 18700, 2003, 2800, 1999, 2004, 1996, 25551, 2000, 2224, 2004, 2009, 2515, 2025, 5478, 3653, 1011, 4646, 2077, 23176, 2075, 2006, 1996, 3302, 2181, 1012, 2707, 29035, 1998, 16462, 2008, 12702, 1011, 11917, 2000, 18157, 2009, 1012, 2023, 2003, 1996, 4248, 4355, 2000, 6611, 1997, 1996, 2843, 1012, 2023, 2038, 2941, 2815, 1999, 8192, 4118, 2077, 3765, 3133, 1996, 3496, 1012, 2023, 8875, 5942, 1037, 13310, 8462, 7709, 1997, 10137, 1996, 7328, 2006, 1996, 3302, 2181, 6229, 2009, 17144, 1012, 1996, 6434, 2003, 2092, 4276, 2009, 1010, 1998, 2122, 13844, 2229, 2272, 2007, 1037, 9474, 6741, 6431, 23068, 9938, 1998, 2994, 2006, 2005, 2172, 2936, 1012, 2009, 2003, 3733, 2000, 16462, 1998, 2852, 3111, 2039, 2738, 2855, 2004, 4102, 2000, 12509, 13844, 2229, 1012, 3563, 6381, 13844, 2229, 2079, 2272, 1999, 12509, 18484, 1010, 1998, 3568, 4857, 2015, 1996, 2240, 1999, 2090, 2068, 1012, 2500, 2024, 2800, 1999, 1037, 27571, 3240, 2433, 1010, 2008, 2003, 3553, 2000, 19351, 13844, 1012, 13844, 2229, 2241, 2006, 6177, 2003, 12302, 2000, 1996, 13844, 2229, 2007, 2482, 2532, 19761, 1012, 14692, 18898, 5443, 1012, 13844, 1024, 2029, 2003, 2488, 1029, 1516, 18798, 2080, 1521, 1055, 7381, 2009, 2003, 19803, 2007, 2060, 3019, 20631, 2000, 2191, 2009, 6413, 2005, 9935, 2303, 4646, 1516, 2190, 2482, 17555, 3688, 1012, 12342, 2003, 2049, 10911, 9935, 1012, 2009, 2003, 2069, 12192, 2800, 1999, 1037, 19351, 2785, 1012, 2001, 2800, 1999, 2025, 2146, 2044, 2004, 2009, 2357, 2041, 2000, 2022, 2936, 1011, 9879, 1998, 16325, 2000, 2224, 2084, 3019, 13844, 2229, 1012, 2122, 2064, 2130, 3362, 1996, 1520, 12342, 1521, 4781, 1997, 2482, 2532, 19761, 13844, 1998, 2003, 2800, 1999, 1037, 3528, 1997, 3596, 1012, 2003, 1996, 2783, 4443, 4576, 2046, 1996, 13844, 2678, 2208, 1998, 2003, 1996, 2087, 3935, 1998, 2087, 17047, 2426, 1996, 9129, 1012, 14692, 5266, 2038, 3092, 2039, 2108, 1037, 2518, 1999, 1996, 17555, 2088, 1998, 8456, 28805, 2115, 3765, 1998, 4744, 1998, 9279, 2008, 12342, 2005, 2116, 2086, 1012, 8893, 14692, 13844, 2229, 3288, 1996, 4972, 1997, 1037, 14692, 3926, 1999, 1037, 13844, 2828, 1012, 2182, 2024, 1996, 10418, 4316, 13844, 2229, 2000, 4965, 1999, 25682, 2023, 2003, 2028, 1997, 1996, 2087, 4050, 4912, 1011, 2044, 3019, 13844, 1012, 2009, 2038, 1037, 7511, 12586, 1997, 3019, 2482, 2532, 19761, 13844, 2007, 13734, 4213, 2595, 2004, 1037, 3730, 24454, 1012, 1996, 5675, 2005, 1052, 17465, 2015, 2003, 3243, 6581, 1998, 2130, 4832, 2039, 2000, 1996, 7777, 1997, 1996, 7976, 6381, 10159, 1516, 2190, 2482, 17555, 3688, 1012, 2190, 6758, 2482, 13844, 1024, 1996, 3068, 2038, 2017, 11777, 2115, 5725, 999, 2009, 2987, 1521, 1056, 2681, 2151, 21755, 2369, 1998, 2036, 3640, 2204, 2300, 20125, 1006, 2190, 2482, 17555, 3688, 1007, 1012, 2023, 2028, 2157, 2182, 2003, 2005, 1996, 13076, 5608, 2040, 2097, 2025, 18230, 2041, 2043, 2009, 3310, 2000, 4363, 2037, 8840, 26801, 3962, 3238, 1012, 4638, 2009, 2041, 2006, 9733, 2085, 999, 2293, 2009, 1516, 5744, 14902, 2008, 3084, 11243, 2009, 1037, 14841, 4892, 2664, 21570, 3325, 1516, 14085, 8787, 1998, 11813, 12760, 1516, 24840, 3609, 1010, 1998, 3640, 2007, 1037, 9487, 12342, 1011, 19144, 2300, 4439, 2185, 5014, 2681, 2009, 1516, 17047, 1516, 3180, 4646, 2734, 1516, 11651, 1997, 5901, 2104, 8401, 4633, 4650, 1998, 4439, 3785, 2023, 2003, 1037, 2878, 14045, 7976, 17782, 1011, 2241, 3765, 1998, 4744, 13844, 1012, 2009, 2003, 5186, 13191, 2005, 1037, 12553, 13844, 2000, 2272, 2379, 2000, 2482, 2532, 19761, 19351, 13844, 2229, 2043, 2009, 5936, 9716, 1998, 3860, 1012, 2174, 2482, 8873, 28210, 12668, 2041, 2182, 2004, 2044, 2049, 4646, 1998, 17462, 2558, 1997, 2322, 2781, 1010, 1996, 12342, 2003, 2012, 11968, 2007, 2482, 2532, 19761, 3924, 1012, 2009, 4107, 1037, 5744, 3302, 3926, 1998, 2036, 2038, 2941, 2443, 18479, 20200, 3860, 1012, 2009, 2003, 1996, 2190, 10077, 1997, 3267, 1998, 2671, 1012, 2004, 1996, 2171, 26021, 1010, 2009, 2003, 1037, 1520, 12901, 1521, 2008, 2950, 7861, 28426, 28295, 2000, 1037, 2482, 2532, 19761, 2918, 1012, 1996, 4525, 8150, 12939, 2000, 6039, 2041, 4714, 13675, 19500, 2015, 2006, 1996, 2482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3661, 2000, 1996, 2204, 2273, 1012, 1045, 2572, 19590, 2000, 2444, 1999, 1037, 2088, 9197, 2081, 1997, 2204, 2273, 1012, 2122, 2024, 1996, 2273, 2040, 2079, 2729, 1025, 1996, 2273, 2040, 2079, 2025, 3480, 2149, 1010, 2040, 2079, 2025, 3713, 2058, 2149, 1010, 2040, 2079, 2025, 2655, 2149, 12731, 7666, 1998, 7743, 2229, 1998, 17219, 2015, 1012, 2122, 2024, 1996, 2273, 2040, 2655, 3209, 10469, 2015, 1012, 2273, 2040, 4847, 1996, 2308, 1998, 19483, 5154, 1998, 9099, 5154, 1998, 2512, 1011, 12441, 2111, 1999, 2037, 3268, 1012, 1045, 2228, 2008, 2017, 1010, 1996, 2204, 2273, 1010, 2020, 2333, 2011, 1001, 2777, 9541, 1517, 1045, 2228, 2008, 2017, 2020, 16697, 2011, 2009, 1010, 2130, 2295, 2017, 2525, 2354, 1996, 6659, 9565, 3287, 4808, 2038, 2018, 1012, 2115, 2190, 2767, 1010, 2115, 2905, 1010, 2115, 2388, 1010, 1996, 2308, 2017, 2031, 6052, 1012, 2017, 2525, 2354, 2256, 3441, 1012, 2017, 2031, 2699, 2000, 4952, 1012, 3053, 1037, 2095, 2101, 1010, 1001, 2777, 9541, 2038, 2716, 2091, 1037, 2261, 2502, 2273, 1010, 15221, 5105, 2019, 2602, 1010, 1998, 2038, 2087, 5121, 2445, 22785, 2000, 8915, 23267, 16165, 16011, 2731, 2015, 1012, 2021, 5064, 2009, 2196, 26027, 2094, 2091, 2000, 2256, 3268, 1517, 6737, 1998, 3067, 1517, 2000, 1996, 3182, 2073, 2057, 2147, 1010, 2073, 2057, 2444, 1010, 2030, 2000, 1996, 6550, 2057, 2031, 1012, 2009, 8440, 1521, 1056, 26027, 2094, 2091, 2000, 1996, 4306, 2008, 4076, 2008, 2316, 1010, 2017, 2113, 1996, 2028, 2007, 1996, 21068, 7101, 1010, 2030, 2000, 1996, 3347, 2017, 2175, 2000, 2006, 5958, 2305, 1012, 2009, 8440, 1521, 1056, 26027, 2094, 2091, 2000, 1996, 4364, 2017, 2113, 1010, 1996, 3924, 2017, 2253, 2000, 2690, 2082, 2007, 1010, 1996, 3924, 2017, 8469, 17260, 15271, 2007, 1010, 1996, 2028, 2017, 5225, 2892, 2406, 2007, 1010, 1996, 3124, 2017, 2113, 2003, 1037, 2307, 3124, 1998, 2017, 2074, 2064, 1521, 1056, 2903, 2002, 2052, 2079, 3308, 1012, 1998, 2085, 1010, 2057, 2031, 2333, 2006, 1517, 2317, 2160, 29609, 1010, 3607, 1010, 3282, 4277, 1012, 1996, 2617, 2003, 2908, 2153, 1010, 2302, 2383, 2412, 5028, 1996, 3180, 5312, 1998, 7258, 1997, 2256, 3268, 1012, 2021, 1045, 2354, 2013, 1996, 2154, 2009, 2318, 1001, 2777, 9541, 2347, 1521, 1056, 2183, 2000, 2689, 2505, 2005, 2033, 1517, 4983, 1010, 1997, 2607, 1010, 2009, 2904, 1996, 2204, 2273, 1999, 2026, 2166, 1012, 3383, 2017, 2134, 1521, 1056, 2228, 2008, 1001, 2777, 9541, 2001, 1037, 4512, 2008, 2920, 2017, 2144, 2017, 2525, 2131, 2009, 1010, 2030, 3383, 2017, 2245, 2008, 2009, 2347, 1521, 1056, 2115, 3277, 2000, 17042, 1999, 2006, 1010, 2030, 2672, 1010, 2004, 2028, 2767, 2409, 2033, 1010, 2017, 2074, 4995, 1521, 1056, 2019, 1523, 7423, 1011, 1061, 1524, 17704, 3124, 1012, 2021, 1010, 2156, 1010, 2013, 2073, 1045, 2572, 3061, 1010, 1001, 2777, 9541, 2038, 2200, 2210, 2000, 2079, 2007, 2033, 1010, 1998, 2673, 1999, 1996, 2088, 2000, 2079, 2007, 2017, 1012, 2256, 7133, 2015, 1517, 6737, 1998, 3067, 1517, 2106, 1996, 2147, 1997, 3588, 4333, 1010, 16762, 1996, 2059, 1011, 13294, 24403, 15194, 2229, 1997, 2273, 1012, 2027, 2020, 18197, 2098, 2185, 1999, 2611, 1005, 1055, 2816, 2030, 2012, 5816, 1005, 1055, 3506, 2000, 5342, 3653, 28207, 9243, 1025, 2027, 2020, 2496, 2125, 2000, 4025, 15775, 13473, 1012, 2059, 1010, 2256, 10756, 2106, 1996, 2147, 1997, 10324, 1996, 21078, 2021, 2437, 21917, 2005, 1996, 2273, 1999, 2037, 3268, 2040, 5462, 2068, 1012, 2027, 2109, 3408, 2066, 9040, 1998, 4968, 4808, 2021, 2253, 2000, 17041, 2000, 2156, 2065, 2057, 2481, 1521, 1056, 2074, 2147, 2009, 2035, 2041, 1517, 2045, 2024, 2061, 2116, 23253, 2006, 2122, 2273, 1012, 2061, 1010, 2026, 4245, 2038, 2042, 13487, 2007, 1996, 2147, 1997, 3228, 2039, 2006, 1996, 2273, 2040, 4299, 2000, 4053, 2149, 1010, 3048, 2408, 1996, 2406, 2007, 2037, 10834, 1010, 28241, 2037, 4620, 2041, 1997, 11048, 1010, 2311, 2256, 2219, 5014, 1998, 2924, 6115, 1010, 1998, 8650, 9731, 2045, 1012, 2823, 2057, 2735, 2000, 1996, 2204, 2273, 2057, 2113, 2000, 2022, 1037, 3647, 2173, 1010, 1037, 2173, 2057, 2097, 2025, 2022, 3480, 2030, 5591, 1998, 7392, 1999, 1010, 2025, 3407, 2021, 2025, 6517, 1010, 2025, 18874, 3993, 2021, 3647, 1012, 2823, 2057, 2074, 3013, 2256, 6409, 1010, 5333, 2256, 2336, 1010, 1998, 2191, 3770, 16653, 2000, 2115, 7922, 1010, 1998, 5861, 1998, 4562, 1012, 2009, 2003, 3352, 3154, 2008, 2057, 2342, 2062, 2084, 1996, 6438, 1997, 2919, 2791, 2013, 1996, 2273, 1999, 2256, 3268, 1012, 2005, 2009, 2003, 2995, 2008, 2096, 2057, 9120, 2115, 16056, 1998, 26452, 1010, 2057, 2342, 2017, 2000, 3693, 2149, 1999, 3554, 28616, 15707, 4890, 2172, 2062, 2084, 2057, 2342, 2017, 2000, 2907, 2149, 2030, 2907, 1996, 2341, 1012, 1037, 2095, 3283, 1010, 2048, 3287, 2814, 2584, 2041, 2000, 2033, 2000, 4638, 1011, 1999, 1010, 4209, 2008, 1001, 2777, 9541, 9874, 2075, 2071, 2031, 1517, 2052, 2031, 1517, 2019, 4254, 2006, 2033, 1012, 2023, 3722, 9218, 2001, 9788, 1010, 1998, 1045, 3961, 8794, 1012, 1037, 2261, 2060, 3287, 2814, 2626, 2969, 1011, 12843, 2270, 8466, 2055, 2037, 2219, 3268, 1998, 2037, 2219, 5248, 1012, 1037, 9210, 2062, 2273, 7531, 11450, 2055, 28616, 15707, 4890, 1012, 2021, 2087, 2273, 2815, 4333, 1012, 2204, 2273, 2815, 4333, 1012, 2009, 2003, 3497, 2008, 2017, 2815, 4333, 1012, 2009, 2323, 2025, 1010, 2012, 2023, 2391, 1010, 2272, 2004, 1037, 4474, 2000, 2017, 2008, 2115, 4223, 2515, 2025, 6099, 2017, 2013, 8689, 1025, 2009, 2085, 18687, 2004, 9619, 1012, 2023, 2003, 1996, 2307, 3606, 2008, 2038, 2272, 2000, 2022, 5319, 1999, 1996, 8398, 3690, 1517, 2317, 4223, 2003, 9619, 1010, 20199, 4223, 2003, 9619, 1010, 3287, 4223, 2003, 9619, 1012, 2017, 2031, 2025, 2468, 2919, 1517, 1045, 2514, 2066, 1045, 2031, 2000, 14306, 2017, 1997, 2023, 1006, 2000, 2191, 2469, 2017, 2097, 2145, 4952, 1529, 2000, 2191, 2469, 2017, 2079, 2025, 2468, 5506, 1007, 1012, 2021, 2054, 2115, 4223, 4136, 2033, 2003, 2008, 1045, 1529, 2057, 1529, 2064, 2025, 3404, 2017, 1012, 2054, 2057, 2031, 4342, 2058, 1998, 2058, 2153, 2013, 2115, 4223, 2003, 2008, 2043, 5245, 3310, 2000, 14738, 1010, 2017, 2024, 1037, 2158, 2040, 2097, 2025, 2393, 1012, 1045, 2079, 2025, 2903, 2008, 2017, 2024, 15734, 28616, 15707, 26942, 2594, 1012, 1045, 2941, 2903, 1010, 6118, 1010, 1999, 1996, 2204, 2008, 2017, 2215, 2000, 2022, 1012, 1045, 2514, 2066, 2012, 2335, 1045, 2031, 5319, 2115, 2540, 1010, 2295, 1045, 3685, 9811, 2000, 3305, 2115, 4990, 1012, 1045, 2079, 2903, 2008, 1996, 10311, 2273, 1010, 1996, 3348, 2923, 2273, 1010, 1996, 20676, 2273, 2024, 11113, 16368, 22787, 2000, 2017, 1012, 2021, 2115, 3768, 1997, 3161, 6577, 1999, 1996, 4788, 1997, 1996, 3347, 25990, 3723, 2515, 2025, 2812, 2008, 2017, 2031, 2053, 2535, 1999, 4526, 2019, 4044, 2008, 2566, 22327, 20598, 2015, 28616, 15707, 4890, 1517, 4496, 2515, 2009, 2812, 2017, 2031, 14689, 16116, 4426, 2013, 5770, 2075, 2013, 2009, 1012, 21083, 1010, 1999, 1996, 2203, 1010, 2097, 2467, 4681, 1996, 6728, 20110, 2953, 1998, 2196, 1996, 6778, 1012, 21083, 2003, 2025, 7015, 1012, 1998, 1045, 2228, 2017, 2215, 2000, 2079, 2488, 2084, 2008, 1529, 2157, 1029, 2023, 2003, 2073, 2023, 4152, 2524, 1025, 2023, 2003, 2073, 1045, 2572, 2187, 8110, 1999, 1996, 7258, 1999, 2115, 4223, 1998, 2667, 2000, 3984, 2054, 2009, 2965, 1012, 2023, 2003, 2073, 1045, 4133, 2007, 2017, 2012, 4157, 1998, 3246, 2008, 2115, 4223, 2003, 3432, 2017, 2667, 2000, 3443, 2686, 2005, 2033, 1998, 2026, 4784, 1010, 1998, 2025, 2074, 2017, 3403, 2005, 2033, 2000, 3926, 3331, 1012, 2023, 2003, 2073, 1045, 4682, 2279, 2000, 2017, 1999, 2793, 1998, 3246, 2008, 2115, 4223, 2003, 2074, 2017, 2108, 5458, 1010, 2025, 1037, 4945, 1997, 26452, 1012, 2023, 2003, 2073, 1045, 2468, 1037, 2210, 6015, 1997, 2017, 1010, 2130, 2295, 1045, 2113, 1517, 1045, 10825, 2870, 1517, 2008, 2017, 2024, 1037, 2204, 2158, 1012, 1045, 2831, 2055, 2017, 2000, 2026, 2814, 1517, 2002, 2003, 1037, 2204, 2158, 1012, 1045, 2360, 2009, 2058, 1998, 2058, 1012, 1045, 2572, 2667, 2000, 2131, 2009, 2000, 4133, 2157, 1012, 2204, 2158, 1010, 2204, 2158, 1010, 2204, 2158, 1012, 2054, 2057, 2812, 2043, 2057, 2360, 2017, 2024, 2204, 2003, 2008, 2017, 2097, 2025, 2718, 2149, 2030, 8851, 3480, 2149, 1012, 4283, 2005, 2008, 1012, 2021, 1045, 2228, 2017, 2215, 2000, 2079, 2488, 2084, 2008, 1529, 2157, 1029, 1045, 4737, 1012, 2054, 2065, 2115, 15003, 2003, 2115, 6099, 1029, 2054, 2065, 2108, 1037, 1523, 3835, 3124, 1524, 1517, 1996, 21358, 7011, 3468, 5379, 3124, 2012, 4243, 1010, 1996, 3124, 2040, 2097, 3298, 2149, 2035, 2188, 9689, 1517, 7126, 2017, 4875, 2104, 1996, 7217, 1997, 17423, 1029, 1999, 1996, 5691, 1010, 2009, 3849, 2008, 1996, 2204, 3124, 2074, 2038, 2000, 3524, 2009, 2041, 1010, 2022, 5776, 1010, 2022, 14516, 1010, 1998, 2002, 2097, 2131, 1996, 2611, 1999, 1996, 2203, 1012, 1996, 3159, 2196, 2515, 4025, 2000, 2031, 2172, 6180, 2030, 2130, 2342, 2000, 2079, 2172, 1997, 2505, 2428, 1024, 2002, 2074, 2038, 2000, 2022, 2025, 1996, 2919, 3124, 1012, 2054, 2065, 1517, 2182, 2003, 2026, 3571, 1517, 1996, 2204, 3124, 2941, 3791, 1996, 2919, 3124, 1999, 2344, 2000, 3413, 2125, 2779, 11703, 11916, 2004, 27314, 1010, 1998, 6247, 2041, 1010, 16697, 1998, 16040, 2013, 12603, 1010, 1996, 2611, 2097, 2633, 2074, 2272, 2000, 2017, 1012, 2108, 1996, 2204, 3124, 2003, 2066, 6815, 5188, 2964, 2043, 2017, 2024, 2074, 5291, 19448, 1012, 2054, 2065, 2115, 15003, 6666, 2017, 1010, 2104, 1996, 21980, 1997, 5770, 2075, 2149, 1029, 2672, 2045, 2024, 6659, 2273, 1998, 2045, 2024, 2307, 2273, 1025, 2021, 2053, 2204, 2273, 2012, 2035, 1012, 1996, 2320, 8915, 23267, 2690, 2598, 1997, 2204, 2273, 1010, 3835, 2273, 1010, 2273, 2040, 2330, 4303, 2005, 2149, 2021, 2123, 1521, 1056, 3233, 2039, 2005, 2149, 2138, 2027, 2123, 1521, 1056, 2215, 2000, 3426, 1037, 3496, 1517, 1517, 2672, 2017, 2024, 2025, 28378, 2135, 8699, 2512, 18274, 6790, 7666, 23174, 3070, 2011, 1012, 2672, 2017, 2024, 2074, 1996, 5610, 2013, 2543, 1012, 2672, 2017, 2031, 2042, 16801, 2115, 27118, 7542, 2007, 12962, 21862, 26775, 3012, 1012, 2672, 2017, 2031, 4197, 1996, 4344, 2012, 11417, 15493, 1998, 5405, 1998, 2008, 17109, 3124, 1999, 1996, 3347, 1010, 2667, 2000, 2173, 28616, 15707, 4890, 2058, 2045, 1010, 2185, 2013, 4426, 1012, 2043, 2017, 2298, 1999, 1996, 5259, 1010, 2672, 2017, 2079, 2025, 2156, 2522, 14478, 2030, 21360, 2121, 2138, 2009, 2003, 2995, 1010, 2017, 2052, 2025, 2412, 2079, 2054, 2027, 2031, 2589, 1012, 2021, 2065, 2017, 6707, 28616, 15707, 4890, 2004, 1037, 2839, 18275, 2008, 7460, 2000, 2019, 3265, 1010, 2059, 2017, 2024, 9217, 12626, 2100, 2004, 2019, 5145, 1998, 2017, 2024, 2975, 2008, 6355, 5145, 4895, 15782, 23816, 1012, 1998, 2672, 1999, 1996, 2203, 2008, 2003, 2025, 2108, 2019, 9698, 2030, 2130, 1037, 2204, 3124, 1025, 2672, 2017, 2024, 2019, 9585, 2099, 2005, 1996, 2919, 2273, 1012, 2115, 15003, 1998, 2035, 2115, 2060, 2203, 27242, 12955, 1517, 1996, 2126, 2017, 10338, 2115, 2132, 2043, 2017, 4952, 1010, 1996, 2126, 2017, 4139, 1996, 8768, 2058, 2026, 4065, 1010, 1996, 2126, 2017, 3342, 5798, 2015, 1010, 1996, 2126, 2026, 3008, 2228, 2017, 2024, 2307, 1517, 2079, 2025, 12436, 14693, 12556, 2017, 2114, 3348, 2964, 2030, 14398, 2030, 24004, 24920, 1012, 2009, 2052, 2025, 2151, 1997, 2149, 1024, 2008, 2003, 2025, 2129, 12148, 3550, 20489, 2573, 1012, 1999, 2060, 2616, 1010, 2065, 2017, 5621, 2215, 2149, 2000, 2022, 3647, 1517, 2065, 2017, 2215, 2033, 2000, 2022, 3647, 1517, 2017, 2031, 2000, 2292, 2175, 1997, 2115, 2204, 3124, 4767, 1012, 2017, 2342, 2000, 2707, 6970, 3217, 16961, 1996, 2291, 1999, 2029, 2057, 2035, 1517, 18110, 2030, 2025, 1517, 2377, 1037, 2112, 1012, 2017, 2031, 2000, 2941, 2079, 2242, 1010, 2360, 2242, 1010, 2022, 2242, 1012, 2242, 2062, 2084, 2204, 1012, 1996, 4145, 1997, 2108, 1037, 2204, 3124, 2001, 3492, 8467, 2000, 2707, 2007, 1012, 2057, 2064, 2831, 2055, 11417, 15493, 1010, 2522, 14478, 1010, 8398, 1010, 3123, 1010, 9932, 4244, 1010, 5472, 2271, 4801, 1010, 1998, 2035, 1996, 2500, 1010, 2021, 2054, 2057, 2941, 2342, 2000, 2831, 2625, 2055, 2054, 2027, 2106, 3308, 1010, 1998, 2062, 2055, 2129, 2027, 2468, 1996, 2126, 2027, 2024, 1012, 2057, 2342, 2000, 3198, 2054, 2035, 1996, 2204, 4364, 2020, 2725, 1006, 2030, 2025, 2725, 1007, 2040, 2354, 1010, 11835, 2098, 2007, 1010, 1998, 2499, 2007, 2122, 2919, 4364, 2247, 1996, 2126, 1012, 2004, 1037, 2450, 6274, 1037, 2365, 2894, 1010, 1045, 2444, 2012, 2019, 5875, 16760, 1997, 5907, 1012, 2096, 2009, 2003, 2026, 5368, 2004, 1037, 6687, 2000, 6570, 2032, 1010, 2021, 1045, 2036 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2023, 2733, 2006, 2155, 3343, 5609, 1010, 13316, 2155, 4806, 2472, 19817, 6305, 2072, 16475, 7585, 24665, 8004, 5620, 7719, 2091, 2007, 15339, 5292, 20927, 1010, 3423, 9517, 2005, 4707, 6984, 4071, 1012, 5292, 20927, 4895, 23947, 2015, 1996, 3522, 2516, 11814, 12087, 4748, 2546, 6406, 2006, 6852, 1997, 2195, 2931, 2152, 2082, 2650, 7190, 1999, 6117, 1012, 2045, 1010, 2048, 6897, 2273, 2031, 2042, 6637, 2004, 2308, 1998, 3045, 2296, 2650, 2679, 2027, 4607, 1010, 2000, 1996, 20010, 20026, 4765, 1997, 6897, 3801, 1998, 2114, 2516, 11814, 3513, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 4283, 2005, 5241, 2149, 2005, 2155, 3343, 5609, 1012, 2057, 2031, 2464, 2019, 6101, 1010, 3728, 1010, 2006, 12154, 2008, 2308, 2031, 2081, 1999, 1996, 8391, 1997, 6482, 1012, 2023, 3310, 2004, 2116, 1999, 2256, 3226, 4025, 4340, 2000, 3499, 2273, 1998, 2308, 2000, 2969, 1011, 6709, 2004, 2151, 5907, 2027, 5454, 1012, 2092, 1010, 2023, 2038, 2200, 3809, 1998, 2521, 1011, 4285, 13494, 1999, 2116, 2752, 1010, 2021, 1996, 2028, 2057, 1521, 2222, 2831, 2055, 2651, 2003, 1996, 4254, 2009, 2038, 2006, 1996, 2976, 2375, 1010, 2516, 11814, 1010, 2029, 2003, 3832, 2000, 2504, 1996, 2652, 2492, 2005, 2308, 7576, 4953, 6695, 1998, 6363, 2985, 1012, 3728, 1010, 1996, 2167, 3792, 2152, 2082, 5188, 2523, 2604, 1997, 5501, 4844, 2653, 2008, 3640, 1037, 2126, 2005, 2167, 3792, 2152, 2082, 2493, 2000, 5566, 1999, 2824, 2004, 1037, 5907, 2008, 2515, 2025, 2674, 2037, 4182, 8196, 1012, 1996, 2604, 15123, 1996, 2689, 2011, 5517, 2008, 1010, 1523, 2009, 2003, 1996, 7848, 2008, 2035, 2493, 2024, 2583, 2000, 5566, 2006, 1037, 2504, 2652, 2492, 1999, 1037, 3647, 1010, 6975, 1010, 1998, 5379, 4044, 1010, 2489, 1997, 9147, 1012, 1524, 2092, 1010, 1996, 2177, 1997, 9454, 2094, 2611, 7576, 1999, 6117, 2003, 2025, 3407, 2055, 2129, 1037, 2714, 3343, 2003, 2551, 1999, 2037, 2110, 1012, 2027, 2024, 10368, 2009, 1999, 2457, 1010, 2007, 1996, 2393, 1997, 4707, 6984, 4071, 1012, 2057, 1521, 2128, 2587, 2651, 2011, 4748, 2546, 3423, 9517, 1010, 15339, 5292, 20927, 1010, 2000, 6848, 2023, 3563, 2553, 1010, 1998, 2129, 2009, 16142, 2046, 1996, 7046, 3861, 1997, 2073, 2023, 4695, 3544, 2000, 2022, 2635, 2149, 1012, 15339, 1010, 6160, 2000, 2155, 3343, 5609, 1012, 15339, 5292, 20927, 1024, 4283, 2061, 2172, 2005, 2383, 2033, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 2035, 2157, 1010, 1999, 2553, 2045, 2024, 2216, 2041, 2045, 2040, 2123, 1521, 1056, 2113, 2030, 2123, 1521, 1056, 3342, 1010, 2054, 2003, 2516, 11814, 1010, 1998, 2129, 2515, 2009, 7461, 5188, 3454, 1999, 2256, 2816, 1029, 15339, 5292, 20927, 1024, 2516, 11814, 2003, 1037, 2976, 2375, 2008, 3519, 2979, 1999, 3285, 1010, 1998, 2009, 2001, 2881, 2000, 5676, 2008, 2308, 1998, 3057, 2031, 5020, 6695, 1999, 2495, 1998, 6482, 1012, 2061, 1999, 1996, 8391, 1997, 2998, 1010, 2054, 2009, 2965, 2003, 2008, 3801, 2131, 5020, 6695, 2000, 2031, 2780, 2008, 2027, 2064, 2377, 2006, 1010, 1998, 2031, 4128, 2008, 2027, 2064, 2224, 2008, 2024, 2275, 4998, 2005, 3057, 1998, 2308, 2061, 2008, 2027, 2064, 8526, 1999, 1996, 2168, 11901, 1997, 3450, 2008, 3337, 1998, 2273, 2031, 2146, 2042, 2583, 2000, 2079, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 2425, 2149, 2055, 2023, 2553, 1999, 6117, 1012, 2054, 2419, 4748, 2546, 2000, 5371, 2023, 2516, 11814, 12087, 2114, 1996, 6117, 6970, 11624, 6030, 10074, 5188, 3034, 1029, 15339, 5292, 20927, 1024, 1996, 2110, 1997, 6117, 2038, 1037, 3343, 2005, 2152, 2082, 6482, 2008, 4473, 2151, 8258, 2000, 5566, 2241, 2006, 2037, 2969, 1011, 4453, 5907, 1012, 2023, 3343, 2150, 1037, 2613, 3291, 2055, 2093, 2086, 3283, 2043, 2048, 6897, 3337, 2787, 2008, 2027, 4453, 2004, 3057, 1998, 2359, 2000, 2448, 2650, 2114, 1996, 3057, 1012, 2200, 2855, 1010, 2122, 3337, 7002, 2110, 2636, 1012, 2027, 2165, 2034, 1998, 2117, 1999, 2296, 2679, 2027, 3879, 1999, 1012, 2256, 7846, 1517, 2122, 2093, 2402, 6456, 1517, 2699, 2000, 2272, 2000, 1037, 9379, 16088, 1012, 2037, 3008, 2318, 1037, 9964, 1025, 2027, 2699, 2000, 8526, 1999, 7982, 2007, 1996, 2110, 5188, 2523, 1998, 15631, 1012, 2216, 11450, 2253, 7880, 1010, 2750, 1996, 5793, 2755, 2008, 3057, 1998, 3337, 2024, 2367, 1012, 2061, 2008, 1521, 1055, 2054, 2716, 2149, 2000, 2023, 2516, 11814, 12087, 1010, 2029, 2057, 6406, 2007, 1996, 2976, 2231, 1012, 2009, 2038, 16021, 3775, 11644, 2019, 4812, 2046, 6117, 1521, 1055, 3343, 2104, 2516, 11814, 1010, 2138, 2009, 2003, 1999, 11371, 1997, 2516, 11814, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 2061, 2054, 2003, 1996, 9181, 1999, 6117, 2005, 6897, 3337, 2000, 2022, 7792, 2000, 5566, 2006, 3057, 2998, 2780, 1029, 15339, 5292, 20927, 1024, 2009, 2003, 3294, 20714, 1012, 2045, 2003, 2053, 9181, 2060, 2084, 1996, 3265, 1521, 1055, 2969, 1011, 11268, 23656, 8720, 1010, 2029, 2428, 3084, 2053, 3168, 2012, 2035, 2138, 1037, 2879, 1521, 1055, 6772, 2055, 2010, 5907, 2987, 1521, 1056, 17542, 2041, 2035, 1997, 1996, 3558, 12637, 2008, 2002, 2038, 2058, 3057, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 5875, 1012, 2009, 3849, 2066, 4352, 6897, 3767, 2000, 5566, 2006, 2308, 1521, 1055, 2998, 2780, 28667, 29313, 2015, 1996, 6635, 1999, 2063, 15549, 7368, 2008, 2516, 11814, 2001, 2404, 1999, 2173, 2000, 4468, 1012, 2079, 2017, 5993, 2007, 2008, 1029, 15339, 5292, 20927, 1024, 7078, 1010, 1998, 2008, 1521, 1055, 2256, 6635, 6685, 2000, 1996, 2976, 2231, 1010, 2003, 2008, 2023, 2003, 9846, 3053, 2753, 2086, 1997, 9849, 2005, 2308, 2104, 2516, 11814, 1012, 2308, 4061, 2146, 1998, 2524, 2000, 2022, 2445, 2216, 5020, 6695, 1998, 2000, 2031, 9147, 5892, 2104, 2516, 11814, 1012, 2070, 6919, 2477, 2031, 3047, 1012, 2057, 1521, 2310, 2464, 2035, 11901, 1997, 10106, 2011, 2931, 7576, 1024, 1996, 3930, 1997, 2998, 2012, 1996, 9234, 2504, 1010, 1998, 2130, 3773, 2070, 1997, 2216, 7576, 2175, 2006, 2000, 1996, 3783, 1010, 1998, 2060, 2998, 2057, 2293, 2000, 15138, 2005, 1012, 2061, 1010, 2000, 6366, 2008, 3860, 2005, 2308, 1998, 3057, 2052, 2022, 1037, 4121, 2275, 5963, 1010, 1998, 2009, 2052, 3294, 25174, 1996, 6635, 3800, 1997, 2516, 11814, 1010, 2029, 2003, 2339, 2057, 2228, 2023, 2003, 1037, 3492, 9555, 1011, 24654, 2243, 2553, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 2017, 2113, 1010, 2017, 1521, 2128, 2157, 1010, 2045, 2031, 2042, 1037, 2843, 1997, 12154, 1010, 2021, 2009, 1521, 1055, 2025, 2066, 2308, 2031, 4719, 11968, 3012, 1012, 6747, 1010, 1997, 2607, 1010, 2265, 2008, 2273, 2006, 2779, 2024, 3825, 3243, 1037, 2978, 2062, 2084, 2308, 2005, 2714, 5841, 1012, 1996, 3484, 1997, 3020, 1011, 2504, 2968, 4460, 2024, 2218, 2011, 2273, 1012, 2025, 2000, 5254, 1996, 8840, 4523, 14097, 2865, 3086, 1998, 9430, 1010, 1997, 2607, 1010, 2008, 2273, 7576, 4374, 1999, 7831, 2000, 2308, 7576, 1012, 2061, 2009, 1521, 1055, 2025, 2066, 2057, 1521, 2310, 3369, 1012, 2021, 2007, 2035, 1997, 2008, 1010, 2003, 2009, 11341, 2000, 2017, 2008, 2308, 1521, 1055, 2916, 2967, 2024, 2025, 2108, 2062, 5554, 2055, 2023, 1029, 15339, 5292, 20927, 1024, 2748, 1012, 2061, 2017, 2056, 1037, 2261, 2477, 1999, 2045, 2008, 2024, 2200, 2590, 1012, 2028, 2003, 2008, 2122, 28548, 2024, 2145, 2734, 2138, 2931, 7576, 2024, 2196, 2183, 2000, 2022, 2583, 2000, 5566, 7199, 2114, 3287, 7576, 1012, 2671, 1998, 2691, 3168, 2425, 2149, 2008, 1012, 3767, 2024, 6428, 2084, 3801, 1012, 1996, 5966, 2846, 1999, 6740, 2946, 1010, 6740, 3997, 1010, 5923, 4304, 1010, 4578, 1025, 2035, 1997, 2122, 3558, 12637, 2008, 2097, 2196, 3499, 1037, 4189, 2971, 1010, 2030, 2019, 5020, 2971, 1010, 2090, 3767, 1998, 3801, 1012, 1998, 2008, 1521, 1055, 2339, 2122, 3057, 2024, 4709, 2000, 2037, 2219, 2504, 2652, 2492, 1010, 2029, 2003, 2035, 2057, 1521, 2128, 4851, 2005, 1012, 2009, 1521, 1055, 1037, 2613, 9467, 2008, 2057, 4033, 1521, 1056, 2464, 2308, 1521, 1055, 2916, 2967, 4092, 2039, 2005, 2308, 2182, 1010, 2138, 2023, 2003, 2183, 2000, 2812, 3057, 2024, 2125, 1996, 14502, 1998, 2027, 1521, 2128, 2006, 1996, 2217, 12735, 1999, 2037, 2219, 2998, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 2061, 2339, 2079, 2017, 2228, 2308, 1521, 1055, 2916, 2967, 2024, 2025, 4092, 2039, 1029, 15339, 5292, 20927, 1024, 1045, 2228, 2008, 3314, 1997, 5907, 6724, 1010, 5907, 1040, 7274, 8458, 11069, 1010, 16824, 2964, 1517, 2027, 1521, 2310, 3369, 2200, 2855, 1012, 1045, 2228, 2008, 2027, 1521, 2128, 2200, 7591, 5739, 1998, 1037, 2980, 8476, 1012, 2057, 1521, 2310, 2464, 5661, 1998, 2151, 2846, 1997, 2111, 1999, 2554, 2428, 24665, 29098, 2989, 2007, 2129, 2000, 2190, 4769, 2054, 2003, 1037, 2200, 8552, 1010, 3375, 1010, 16371, 6651, 2094, 3277, 1012, 1998, 2061, 2009, 1521, 1055, 2025, 2205, 11341, 2008, 2111, 2024, 11542, 2000, 3713, 2039, 2043, 2045, 1521, 1055, 1037, 3382, 2008, 2045, 2052, 2022, 1037, 2591, 25748, 1012, 2138, 2054, 2057, 2156, 2003, 2008, 2308, 1521, 1055, 2916, 2967, 2024, 2411, 2551, 4077, 6956, 2007, 12010, 1010, 2029, 2950, 1996, 16824, 1012, 2061, 2008, 1521, 1055, 2019, 4707, 2008, 1045, 2228, 2003, 2590, 2000, 2216, 2967, 1998, 2027, 2024, 11542, 2000, 15333, 29477, 17080, 4371, 2008, 1999, 2151, 2126, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 2061, 2167, 3792, 1521, 1055, 2047, 3343, 2003, 2367, 2013, 6117, 1521, 1055, 1012, 2045, 2024, 2070, 2060, 2477, 2008, 2017, 2031, 2000, 2079, 1517, 2017, 2031, 2000, 6611, 1010, 1998, 2045, 2024, 3056, 13441, 2008, 2017, 2031, 2000, 13595, 1012, 2129, 2521, 2003, 2521, 2438, 1029, 1999, 2115, 9918, 2008, 2017, 1521, 2128, 2183, 2000, 2191, 2006, 2023, 2553, 1010, 2024, 2017, 3038, 2008, 1037, 16824, 2450, 2323, 2196, 2022, 3039, 2000, 5589, 1999, 2308, 1521, 1055, 2998, 1029, 15339, 5292, 20927, 1024, 1045, 2228, 2008, 2009, 1521, 1055, 2107, 1037, 8552, 3277, 2008, 2009, 1521, 1055, 2242, 2057, 2342, 2000, 2031, 1037, 2843, 1997, 7982, 1998, 2245, 2875, 1012, 1998, 4748, 2546, 2003, 2200, 5627, 2000, 2079, 2008, 1010, 2004, 1045, 2113, 2256, 7846, 2024, 2004, 2092, 1012, 2045, 1521, 1055, 2053, 5793, 5576, 1012, 2021, 2054, 2057, 2079, 2113, 2003, 2008, 2045, 2003, 7078, 2053, 2146, 1011, 2744, 2817, 2006, 2023, 1012, 2045, 1521, 1055, 2053, 2671, 4760, 2008, 2151, 1997, 2122, 3818, 7300, 1517, 1997, 2635, 20752, 2005, 1037, 3056, 3815, 1010, 1997, 5128, 2115, 15436, 3311, 2007, 1996, 4500, 3348, 2005, 1037, 3056, 3815, 1997, 2051, 1517, 3904, 1997, 2216, 2031, 2042, 3491, 2000, 22505, 1996, 3019, 3558, 1010, 6897, 12637, 2008, 3337, 2031, 1012, 2178, 2518, 2057, 2113, 2003, 2008, 1999, 1996, 26578, 1010, 2004, 2220, 2004, 3157, 3134, 1010, 25937, 2064, 2022, 11156, 1999, 1037, 3336, 2879, 1012, 2061, 2008, 25937, 2003, 14107, 2083, 1996, 2291, 2802, 1996, 2972, 2607, 1997, 1996, 6480, 1010, 2096, 2122, 3337, 2024, 12560, 1998, 2731, 1012, 2008, 16473, 2039, 999, 2061, 1010, 2009, 1521, 1055, 2025, 2242, 2008, 2064, 2022, 5892, 2011, 2635, 1037, 2461, 1997, 7171, 2030, 1037, 2095, 1997, 2725, 2070, 4066, 1997, 7242, 1012, 2057, 2113, 2008, 1996, 3337, 2024, 14527, 3057, 2006, 1996, 2652, 2492, 1012, 2130, 2216, 2040, 2031, 5625, 7242, 1010, 2030, 2031, 2042, 2725, 2009, 2005, 2070, 2051, 2024, 2145, 7078, 21949, 1010, 2029, 2074, 3065, 2129, 15571, 2009, 2003, 1012, 1996, 2671, 2003, 3876, 2008, 3767, 1998, 3801, 2024, 2367, 2091, 2000, 1996, 10381, 21716, 27642, 2504, 1010, 1998, 2074, 2383, 1037, 3526, 2013, 2028, 3265, 2064, 2425, 2017, 3251, 2027, 1521, 2128, 3287, 2030, 2931, 1012, 1998, 2008, 1521, 1055, 2054, 2057, 2113, 1012, 19817, 6305, 2072, 24665, 8004, 5620, 1024, 15339, 1010, 2339, 2079, 2017, 6814, 2070, 2111, 2228, 1996, 2916, 1997, 16824, 7576, 3565, 6924, 2063, 1996, 10142, 3858, 1998, 5123, 2916, 1997, 2308, 1029, 15339, 5292, 20927, 1024, 2009, 1521, 1055, 2061, 25198, 2000, 2156, 2122, 2916, 13249, 2138, 1045, 2228, 1010, 4821, 1010, 3071, 2182, 2003, 6224, 2054, 2027, 2514, 2003, 5020, 4495, 1998, 9945, 1012, 2021, 2054, 2057, 2079, 2113, 2003, 2008, 2009, 1521, 1055, 2025, 5020, 2000, 2031, 3337, 3868, 2114, 3057, 1012, 2045, 2038, 2000, 2022, 2070, 2060, 4118, 2000, 3499, 2402, 2111, 12151, 2004, 16824, 2000, 5589, 1999, 2070, 2126, 2008, 2987, 1521, 1056, 8954, 2035, 1996, 6695, 2013, 3057, 1012, 1998, 2292, 2033, 2507, 2017, 2019, 2742, 2013, 2023, 2553, 1012, 2256, 7396, 1010, 19166, 1010, 2016, 4771, 2041, 2006, 3048, 2006, 2000, 1996, 2047, 2563, 3164, 2015, 6479, 2011, 2048, 7516, 1012, 2216, 2327, 2048, 7516, 2020, 2579, 2011, 1996, 2048, 3337, 2008, 6709, 2004, 3057, 1012, 1998, 2008, 3214, 2008, 19166, 2134, 1521, 1056, 2131, 1996, 3382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1015, 1012, 2022, 2469, 2023, 2003, 2005, 2017, 1012, 2077, 2017, 2130, 5247, 1037, 10647, 2017, 2323, 2228, 2200, 5362, 2055, 1996, 2166, 1011, 5278, 3247, 2017, 2024, 2437, 1012, 2043, 1045, 2034, 2318, 1045, 3373, 2045, 2001, 2200, 2210, 3891, 2920, 2138, 1045, 3832, 2000, 5452, 2013, 2188, 1010, 2004, 1037, 7082, 17667, 1012, 1045, 2245, 1045, 2071, 2507, 2009, 1037, 2175, 1998, 3328, 2185, 2012, 2151, 2051, 2065, 2477, 4694, 1521, 1056, 2183, 2157, 1012, 1045, 2001, 3308, 1012, 2130, 2044, 2706, 1997, 2551, 2321, 3178, 2420, 1998, 2770, 2012, 1037, 3279, 1010, 1045, 4188, 2000, 2507, 1999, 1012, 1045, 17961, 2023, 9575, 2000, 7704, 23895, 1010, 1996, 2168, 7337, 2008, 7906, 1996, 4800, 1011, 4551, 9044, 12219, 3068, 4142, 999, 2045, 2001, 2467, 2242, 1999, 1996, 2067, 1997, 2026, 2568, 2008, 2409, 2033, 2008, 2065, 1045, 2921, 2183, 1010, 2028, 2154, 1045, 2052, 2191, 1037, 2454, 1012, 2000, 2191, 2477, 4788, 1045, 3191, 2808, 2006, 4341, 1998, 3893, 3241, 2029, 4504, 1999, 2033, 5128, 4620, 1997, 9542, 12187, 2015, 1010, 2998, 3765, 1998, 13433, 4095, 3506, 2006, 2026, 4624, 1012, 2296, 2051, 1045, 2363, 1037, 5096, 1045, 2371, 3449, 4383, 1998, 2026, 3959, 2482, 2790, 1037, 2210, 3553, 999, 1045, 2130, 2904, 1996, 2614, 1999, 2026, 10373, 7396, 2000, 2191, 1996, 1520, 10381, 1011, 19992, 1521, 2614, 1997, 1037, 5356, 4236, 2296, 2051, 1045, 2363, 1037, 5096, 999, 2296, 2051, 1045, 2245, 1997, 3788, 2185, 1010, 1045, 2246, 2012, 1996, 4620, 1997, 2026, 3959, 2166, 1011, 2806, 1998, 3432, 2481, 1521, 1056, 3288, 2870, 2000, 2191, 2019, 7863, 3247, 1012, 1045, 2081, 21917, 2000, 2870, 1998, 2000, 2500, 1998, 2318, 10523, 1996, 6115, 2007, 1037, 2200, 25352, 1010, 15241, 1011, 3893, 3193, 1012, 1996, 2060, 2350, 4009, 2008, 2921, 2033, 2013, 6276, 2026, 6409, 2001, 1996, 2245, 1997, 2383, 13842, 2035, 1996, 2769, 1998, 2051, 1045, 1521, 1040, 20228, 10593, 2098, 2046, 1996, 2449, 1010, 2025, 2000, 5254, 1996, 3110, 1997, 2383, 3478, 1012, 2044, 2035, 1010, 2111, 2467, 2056, 2008, 1045, 2071, 2022, 2505, 1045, 2359, 2000, 2022, 999, 2043, 1045, 2298, 2067, 2085, 1045, 19148, 2129, 2590, 2008, 3988, 3247, 2001, 2000, 2707, 1996, 2449, 1012, 2009, 20398, 2033, 2000, 2228, 2008, 1045, 2134, 1521, 1056, 5247, 2062, 2084, 1037, 2261, 2847, 2437, 1996, 3247, 1006, 2065, 2008, 1007, 1012, 2065, 2017, 2069, 2202, 2028, 2518, 2185, 2013, 2023, 3720, 2059, 2191, 2469, 2009, 1521, 1055, 2023, 1024, 2009, 2003, 6827, 2008, 2017, 15697, 6196, 2051, 1999, 2437, 2023, 2166, 1011, 5278, 3247, 1012, 2831, 2000, 2814, 1998, 2155, 1010, 17042, 2039, 1996, 4013, 2015, 1998, 9530, 2015, 1010, 12826, 1996, 3497, 19054, 2007, 4522, 2476, 7047, 1998, 1010, 2087, 1997, 2035, 1010, 5676, 2017, 2024, 2108, 7481, 2007, 4426, 1012, 5107, 6648, 2015, 1998, 3112, 3441, 2064, 2022, 27564, 3928, 1529, 1998, 15011, 1012, 2065, 2017, 2024, 2183, 2046, 2449, 16603, 2017, 2024, 2183, 2000, 2022, 2583, 2000, 2128, 9331, 2312, 3361, 19054, 2011, 2069, 2551, 1037, 2261, 2847, 1037, 2154, 1010, 3198, 4426, 2129, 12689, 2023, 2154, 3959, 2428, 2003, 1012, 1045, 2064, 14306, 2017, 2008, 2311, 1037, 3144, 2449, 3138, 4121, 8310, 1997, 2051, 1010, 3947, 1010, 8688, 1998, 2769, 1012, 2023, 2003, 2025, 1037, 3247, 2017, 2064, 8984, 2000, 2202, 8217, 1998, 2077, 2017, 2130, 2707, 25247, 1996, 4013, 2015, 1998, 9530, 2015, 1997, 2023, 2476, 3601, 1010, 2017, 2342, 2000, 2079, 1037, 3278, 3815, 1997, 2470, 2034, 1012, 1016, 1012, 2470, 2115, 3006, 1012, 2429, 2000, 1996, 2436, 2005, 2120, 6747, 1010, 2045, 2020, 5824, 2509, 1010, 13913, 10834, 2141, 1999, 2563, 1998, 3575, 1999, 2230, 1012, 2065, 2017, 2024, 6195, 3225, 1037, 2449, 1999, 1996, 3336, 1013, 28586, 2492, 2059, 2023, 28093, 6553, 2003, 11434, 1012, 7297, 1010, 2045, 2020, 3963, 2575, 1010, 24568, 10834, 2141, 1999, 2268, 2029, 6083, 1996, 4022, 3006, 2003, 3652, 6022, 1012, 2174, 1010, 1037, 4248, 8224, 3945, 1997, 1520, 3336, 9604, 1521, 7137, 3155, 19936, 2454, 11744, 1012, 2008, 1521, 1055, 1037, 2843, 1997, 4022, 2971, 999, 2054, 4219, 2079, 2017, 2031, 2012, 2115, 13148, 2000, 2131, 2017, 2000, 1996, 2327, 1997, 8224, 2682, 2216, 19936, 2454, 4573, 1029, 2017, 2323, 2022, 2200, 17145, 1997, 1520, 27457, 8519, 1521, 2040, 4366, 2000, 2022, 2583, 2000, 2131, 2017, 2000, 1996, 2327, 1998, 2057, 2097, 2831, 2062, 2055, 2023, 2101, 1012, 7297, 1010, 1045, 2064, 2425, 2017, 2013, 3167, 3325, 2008, 2108, 1999, 1996, 2327, 4460, 1999, 8224, 2005, 1520, 3336, 9604, 1521, 2003, 21115, 1010, 2021, 2025, 1037, 12884, 2004, 21115, 2004, 1045, 2245, 2009, 2052, 2022, 1012, 1996, 2779, 3784, 7584, 3446, 1999, 2023, 3068, 2003, 2090, 1015, 1516, 1016, 1003, 1998, 2017, 2064, 5987, 2000, 4374, 2105, 2753, 1011, 3263, 7879, 2566, 2154, 2013, 13992, 1037, 2327, 1017, 2597, 2005, 2023, 3945, 2744, 1012, 2320, 2017, 2131, 2917, 1996, 2034, 1017, 7516, 1010, 1996, 10367, 3446, 9010, 27258, 2135, 1012, 8224, 4748, 22104, 2038, 1037, 2489, 1010, 6179, 6994, 2029, 12939, 17633, 2000, 7633, 1996, 2946, 1997, 2037, 4022, 3006, 1998, 7126, 2068, 5454, 3945, 3408, 1006, 3145, 22104, 1007, 2000, 4539, 1012, 2023, 6994, 22963, 1996, 2193, 1997, 2111, 1037, 3204, 2040, 3945, 2005, 1037, 3327, 3145, 18351, 2007, 1996, 2504, 1997, 2971, 1012, 2174, 1010, 2009, 2097, 2788, 2599, 2000, 2017, 2058, 4355, 22835, 1996, 3815, 1997, 4026, 2017, 2097, 3497, 6162, 1998, 2323, 2022, 2109, 2004, 1037, 2236, 12596, 5009, 2069, 1012, 2017, 2342, 2000, 12246, 2470, 2115, 3006, 1998, 14358, 1996, 2367, 3971, 1997, 5026, 4026, 2000, 2115, 4037, 1012, 2005, 2742, 1010, 2017, 2453, 2424, 2009, 2172, 6082, 2000, 3006, 2115, 4037, 2125, 4179, 2007, 27306, 1010, 14048, 1998, 2773, 1997, 2677, 2084, 2019, 7580, 3945, 1011, 2241, 5821, 3049, 1012, 2065, 2017, 2024, 2104, 1996, 8605, 2008, 2017, 2064, 2707, 1037, 4037, 1010, 4339, 2070, 4180, 1998, 18804, 18558, 1010, 19948, 1037, 2261, 28309, 6971, 2007, 2060, 4773, 27751, 1998, 2707, 2893, 11519, 8224, 10385, 2005, 21115, 3145, 1011, 3408, 1010, 1045, 1521, 1049, 4452, 2017, 2024, 7977, 2135, 13534, 1012, 2017, 2323, 5676, 2008, 2017, 5247, 6196, 2051, 20059, 2023, 3006, 1024, 2831, 2000, 2449, 5608, 1998, 4022, 6304, 1999, 2307, 6987, 1998, 5676, 2017, 5114, 2019, 8321, 1998, 12689, 3861, 1997, 1996, 3006, 1998, 2129, 2009, 2573, 2077, 2017, 4088, 1012, 2065, 2017, 2024, 15175, 2000, 4060, 2039, 1996, 3042, 2030, 2000, 2718, 1996, 4534, 2007, 1037, 12528, 6277, 1998, 7279, 2059, 12927, 2884, 2003, 1037, 2307, 2173, 2000, 2131, 5186, 6851, 3006, 2470, 2055, 2115, 3068, 2021, 2017, 2097, 2031, 2000, 3477, 1037, 12882, 2005, 1996, 4311, 2017, 8816, 1012, 1017, 1012, 2113, 1996, 2375, 1012, 2065, 2017, 2079, 5630, 2023, 2476, 3601, 2003, 2157, 2005, 2017, 2059, 1996, 2279, 2344, 1997, 2449, 2097, 2022, 2000, 5220, 5562, 4426, 2007, 1996, 3365, 3423, 16852, 1997, 3225, 1037, 2449, 1012, 2449, 4957, 2109, 2000, 2448, 1037, 21688, 2326, 2073, 2017, 2071, 2131, 2028, 1011, 2006, 1011, 2028, 6739, 2449, 6040, 1999, 2115, 2181, 1012, 13718, 1010, 2349, 2000, 5938, 7659, 1010, 1996, 2326, 1999, 2563, 1998, 3575, 2003, 2085, 3132, 2000, 2037, 4037, 1012, 1045, 2903, 2449, 4957, 1999, 2642, 3163, 2145, 4107, 1996, 2028, 1011, 2006, 1011, 2028, 2326, 2021, 1045, 2071, 2022, 13534, 1012, 1996, 2449, 4957, 4037, 2003, 1037, 9480, 7692, 1998, 2038, 1037, 7177, 1997, 2204, 3737, 2592, 1010, 2174, 1010, 2349, 2000, 1996, 3872, 1997, 2592, 2920, 1010, 2009, 2003, 2411, 3697, 2000, 2424, 2041, 2673, 2017, 2342, 2000, 2113, 2478, 2023, 7692, 2894, 1012, 1045, 3568, 6118, 16755, 2008, 2017, 5247, 1996, 2769, 3223, 2000, 2131, 2070, 2204, 3737, 3423, 6040, 2013, 1037, 4591, 15468, 2007, 3325, 1999, 1996, 2492, 1012, 1045, 2113, 2023, 2003, 5186, 14477, 21512, 21682, 2021, 2009, 2097, 3828, 2017, 2847, 1997, 2051, 1998, 2071, 9280, 3828, 2017, 2013, 2002, 6199, 2100, 21892, 2030, 2130, 10219, 2323, 2017, 19046, 2151, 1997, 2115, 3375, 3423, 5918, 1012, 1018, 1012, 3443, 1037, 2449, 2933, 1012, 1996, 3014, 1997, 4041, 2017, 2079, 2077, 2017, 2707, 2097, 4821, 5646, 2065, 2017, 2097, 9510, 2030, 8246, 1012, 1996, 6565, 3484, 1997, 2707, 11139, 8246, 1999, 1996, 2034, 2095, 1012, 2087, 1997, 1996, 2051, 2023, 2003, 4321, 2349, 2000, 14710, 4041, 1012, 17568, 2024, 2004, 4795, 2000, 1037, 2449, 2004, 3532, 5356, 4834, 1012, 2191, 2469, 2115, 4041, 2003, 2241, 2006, 2470, 1998, 8866, 1012, 10561, 2006, 1996, 2449, 3252, 2003, 2028, 1997, 1996, 2034, 2477, 2017, 2097, 2342, 2000, 2079, 1012, 2087, 1041, 1011, 6236, 11744, 2024, 2275, 2039, 2011, 7082, 13066, 2030, 2797, 3132, 3316, 1998, 2045, 2024, 12637, 1998, 20502, 2015, 2000, 2169, 2828, 1997, 2449, 3252, 1012, 1999, 1037, 12264, 18223, 1010, 4292, 2039, 1998, 6605, 1037, 2449, 2004, 1037, 7082, 17667, 2003, 16325, 2021, 2017, 2097, 2022, 7714, 20090, 2005, 1996, 13930, 1996, 2449, 16222, 6820, 2229, 1012, 7297, 1010, 1037, 2797, 3132, 2194, 2003, 2941, 7199, 4089, 2000, 2275, 2039, 1998, 2448, 2122, 2420, 1010, 2926, 2065, 2017, 10887, 2019, 17907, 1012, 1045, 1521, 1040, 6118, 16755, 2017, 10887, 2019, 17907, 7539, 1997, 1996, 2449, 3252, 2017, 2175, 2005, 1012, 2017, 2323, 5987, 2000, 3477, 2090, 9932, 1094, 1092, 2050, 29646, 28332, 1516, 9932, 1094, 1092, 2050, 29646, 29345, 2566, 2095, 2000, 4088, 2007, 2005, 1037, 2204, 17907, 2021, 2002, 2030, 2016, 2003, 3497, 2000, 3828, 2017, 2062, 2084, 2023, 2011, 12725, 2017, 3477, 1996, 7290, 3815, 1997, 4171, 2825, 1012, 2017, 2323, 2036, 5630, 2006, 2115, 16140, 1012, 2054, 2828, 1997, 4435, 2024, 2017, 13659, 2000, 3857, 1029, 2023, 2003, 4876, 5079, 2000, 1996, 20874, 5656, 2017, 2097, 11092, 1998, 2115, 4539, 15982, 1012, 2040, 2097, 2017, 2022, 4855, 2000, 1029, 2129, 2172, 2079, 2122, 2111, 3227, 5247, 2006, 7534, 2005, 10834, 1029, 2054, 2828, 1997, 3316, 1013, 9639, 2079, 2122, 2111, 3227, 4965, 2013, 1029, 2017, 2064, 2059, 2224, 2023, 2592, 2000, 3965, 2115, 5821, 2933, 2029, 2097, 10468, 2425, 2017, 3599, 2129, 2017, 2097, 4539, 2122, 2111, 1012, 1045, 9038, 2008, 1045, 3685, 2175, 2046, 2062, 6987, 2182, 2021, 2023, 3720, 2003, 2019, 19184, 2000, 2507, 2017, 2070, 3145, 16852, 1012, 1045, 2097, 3104, 2062, 6987, 1999, 4745, 1010, 2062, 3579, 6924, 4790, 1012, 8321, 19939, 2075, 2003, 2036, 2019, 6827, 9095, 2012, 2023, 2754, 1012, 2017, 2342, 2000, 2191, 1037, 2204, 5161, 3984, 2055, 2129, 2172, 2769, 2097, 2022, 2746, 2046, 1996, 2449, 1998, 2129, 2172, 2097, 2022, 2183, 2041, 1012, 2174, 1010, 2023, 1520, 3984, 1521, 2323, 2022, 2241, 2006, 5025, 2951, 2055, 1996, 3006, 2946, 1998, 1996, 3497, 7017, 3006, 3745, 2017, 2097, 2022, 2583, 2000, 9878, 1012, 2065, 2017, 2064, 2131, 2115, 2398, 2006, 1996, 2808, 1997, 1037, 2194, 1999, 1037, 3141, 2492, 2000, 1996, 2028, 2017, 2024, 3225, 1010, 2023, 2052, 2022, 7812, 1012, 2028, 1997, 1996, 2190, 3971, 2000, 2707, 1037, 2047, 2449, 2003, 2000, 5247, 1037, 2261, 2706, 2030, 2086, 2551, 2004, 2019, 7904, 1999, 1037, 2714, 2828, 1997, 2194, 2000, 1996, 2028, 2017, 13566, 2000, 2707, 1012, 2023, 2052, 2507, 2017, 1996, 4495, 2000, 4553, 2673, 2055, 1996, 3006, 1998, 3073, 2017, 2007, 3229, 2000, 1996, 2524, 4481, 9652, 2734, 2000, 2933, 1037, 2047, 6957, 1012, 2174, 1010, 2017, 2097, 2342, 2000, 2191, 2469, 2045, 3475, 1521, 1056, 1037, 11075, 1999, 1996, 6107, 3206, 2008, 16263, 2017, 2013, 4292, 2039, 2006, 2115, 2219, 2044, 2017, 2681, 1996, 2194, 1012, 2115, 17907, 2097, 2022, 2583, 2000, 2393, 2017, 2007, 1996, 3361, 19939, 2075, 2005, 2115, 2047, 2449, 1998, 2002, 2030, 2016, 2097, 2036, 2022, 2583, 2000, 4863, 1996, 2536, 12135, 7047, 2008, 2024, 2800, 2000, 2017, 1012, 2130, 2065, 2017, 2024, 7714, 12135, 2023, 2622, 1010, 5676, 2008, 2017, 2933, 1998, 2650, 2296, 9044, 2183, 1999, 1998, 2041, 1997, 1996, 2449, 1010, 2157, 2013, 1996, 2707, 1012, 2028, 2590, 2518, 2087, 2449, 5608, 27590, 2003, 2037, 6164, 5656, 1012, 5676, 2017, 1521, 2128, 2025, 2028, 1997, 2068, 1012, 2348, 2009, 2453, 4025, 2066, 1996, 2197, 2518, 1999, 1996, 2088, 2017, 2342, 2000, 2228, 2055, 2157, 2085, 1010, 2383, 2019, 6164, 5656, 1999, 2173, 2013, 1996, 26674, 2097, 4338, 2115, 2972, 2449, 1012, 2079, 2017, 2215, 2000, 3857, 2023, 2449, 2039, 2061, 2008, 2017, 2064, 5271, 2009, 2005, 1037, 2502, 15116, 7680, 1029, 2065, 2061, 1010, 2129, 3144, 2097, 1996, 2449, 2031, 2000, 2468, 2005, 2017, 2000, 5271, 2009, 1029, 2040, 2097, 2017, 5271, 2009, 2000, 1998, 2129, 2146, 2097, 2009, 2202, 2017, 2000, 2131, 1996, 2449, 2000, 2023, 2754, 1029, 2065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2190, 4684, 13433, 11602, 2015, 27300, 8040, 7361, 17625, 10722, 9284, 21396, 9026, 10802, 6178, 2080, 2865, 1041, 24086, 10514, 10448, 21025, 11663, 2072, 1010, 25634, 3601, 1012, 2007, 1996, 3522, 12058, 1999, 6217, 1997, 2978, 3597, 2378, 2843, 3334, 3111, 1010, 18178, 11265, 25636, 2050, 1012, 3595, 2000, 2663, 1999, 27300, 5612, 1010, 1999, 2029, 2035, 1996, 2867, 1999, 1996, 2282, 2024, 7079, 2000, 1998, 3045, 2013, 1037, 2309, 8962, 1012, 3595, 2000, 2663, 1999, 27300, 2426, 2068, 2003, 2662, 1010, 2057, 2066, 2000, 2377, 2152, 5285, 10450, 18605, 19832, 2013, 2377, 1521, 1050, 2175, 2061, 2057, 1521, 1040, 2156, 2065, 2027, 2031, 2037, 2846, 1997, 2399, 2164, 12886, 23276, 10419, 1012, 3642, 18442, 2015, 2003, 1037, 8645, 1011, 11773, 2283, 2773, 2208, 2073, 2048, 2780, 5566, 2000, 12453, 2035, 1997, 2037, 6074, 2034, 1010, 2338, 1997, 2757, 1998, 6714, 2283, 1012, 2059, 3369, 4684, 27300, 1998, 3662, 2149, 1037, 2488, 2126, 1997, 11897, 4892, 1010, 3338, 4830, 2924, 2153, 10453, 3784, 2613, 2769, 2053, 12816, 6781, 2021, 2065, 2008, 1521, 1055, 2054, 2017, 2215, 2013, 2115, 5656, 2399, 2030, 2017, 2293, 2023, 5304, 1012, 2057, 2179, 2673, 2000, 2022, 3565, 29202, 1998, 2057, 2018, 2053, 4390, 6583, 5737, 16961, 2256, 2126, 2083, 2037, 19244, 2832, 1010, 2327, 3784, 13433, 11602, 2015, 1998, 27300, 6160, 29563, 5329, 2009, 1521, 1055, 1037, 2307, 4060, 1012, 2867, 2064, 8816, 1037, 2591, 11662, 10439, 2083, 1996, 9130, 4132, 1010, 2327, 3784, 13433, 11602, 2015, 1998, 27300, 6160, 29563, 5329, 2438, 2000, 13225, 2151, 18503, 2099, 1012, 7418, 25879, 2696, 13433, 11602, 2015, 9356, 1045, 2359, 2000, 3857, 1037, 2451, 1010, 4882, 1012, 1996, 2882, 3309, 2036, 4107, 1037, 2307, 2994, 2006, 1996, 4322, 1010, 2030, 2005, 2169, 2047, 2695, 1012, 2023, 2003, 2028, 1997, 1996, 2034, 9797, 1010, 2279, 6914, 10355, 2004, 2092, 2004, 11265, 25509, 2319, 1998, 2060, 2759, 4007, 4835, 2024, 2012, 2115, 13148, 2007, 2115, 6781, 5029, 1012, 2426, 2060, 5609, 1010, 1996, 2417, 10210, 6528, 4145, 2064, 2022, 2109, 2000, 2191, 2115, 9491, 5049, 4443, 3233, 2041, 1012, 1999, 2344, 2000, 3623, 2037, 9592, 1997, 7294, 1996, 2990, 11008, 1010, 2017, 2064, 4982, 2009, 2046, 1037, 2235, 2449, 1012, 2043, 2017, 2024, 2736, 2017, 2097, 2132, 2067, 2000, 1996, 15934, 2015, 2007, 1037, 4555, 2321, 2489, 23371, 1998, 1019, 2047, 6781, 9255, 1010, 2017, 2097, 2022, 2130, 2062, 9657, 1999, 15790, 2028, 2039, 2043, 1996, 4495, 7534, 2993, 1012, 3531, 2022, 5204, 2008, 2013, 2089, 10476, 2047, 7040, 2812, 2008, 2017, 2097, 2025, 2022, 2583, 2000, 3046, 2399, 2005, 2489, 2127, 2017, 2031, 5068, 1998, 20119, 2115, 8909, 2012, 1037, 10453, 2609, 1010, 2004, 24806, 1012, 15562, 28060, 1037, 23363, 2121, 2474, 5787, 2063, 2139, 2128, 6494, 4183, 4555, 8285, 29346, 2063, 7505, 3393, 9270, 20344, 8470, 24665, 4017, 14663, 1010, 1998, 2906, 13253, 2099, 2081, 2049, 2126, 2000, 2402, 9270, 2867, 2004, 2087, 3784, 27300, 4233, 2023, 2208, 1012, 2009, 4332, 2046, 22300, 2065, 2017, 13621, 1037, 11662, 4368, 1998, 13260, 12358, 2000, 2377, 2044, 2029, 2202, 1037, 5547, 1997, 1996, 4367, 9875, 2017, 2000, 4171, 1996, 4368, 2061, 2008, 2017, 1521, 2128, 5621, 2437, 6599, 2125, 3633, 2635, 2112, 1999, 11662, 1010, 1998, 2000, 2059, 3696, 2039, 1012, 1037, 2407, 1997, 2028, 4774, 23092, 4297, 1010, 3143, 2007, 1037, 2300, 7358, 1998, 7163, 2300, 4212, 1012, 19888, 10085, 3126, 7389, 5666, 2003, 2036, 3652, 1999, 6217, 2004, 1037, 9270, 7909, 4118, 1010, 1037, 3819, 3509, 12792, 3295, 1012, 7418, 25879, 2696, 13433, 11602, 2015, 9356, 2115, 11194, 1521, 1055, 2529, 4219, 2533, 2323, 2022, 2583, 2393, 2017, 2004, 2092, 1010, 1998, 2489, 18105, 1012, 6854, 2005, 2990, 1010, 2017, 2227, 1037, 5081, 1999, 2115, 12447, 2166, 2008, 2017, 5998, 2000, 10663, 1012, 3784, 13433, 11602, 2015, 7861, 2226, 2057, 1521, 2310, 2941, 2018, 2000, 4863, 2129, 8329, 2188, 27137, 2399, 2024, 3423, 2000, 4108, 4480, 1010, 2089, 9125, 3604, 1012, 11178, 16014, 1996, 5131, 2597, 1997, 2004, 2116, 5194, 2004, 2017, 2064, 1999, 1996, 7268, 4770, 1998, 1996, 3045, 2015, 2024, 6737, 1010, 1998, 2008, 4445, 1996, 2724, 4496, 8422, 2064, 11302, 1996, 3808, 1997, 13180, 1012, 2065, 2017, 2342, 2130, 2062, 5356, 2067, 1010, 1996, 2062, 2017, 2663, 1012, 2045, 2024, 8578, 2073, 2051, 2003, 3904, 1997, 2122, 2477, 1010, 1998, 2097, 2831, 2000, 12358, 2096, 2652, 1996, 19832, 1012, 2005, 2023, 2208, 2879, 5083, 8297, 1010, 1998, 2031, 1037, 2307, 2214, 2051, 1012, 2175, 29602, 2094, 9270, 13433, 11602, 2015, 3552, 2052, 2022, 3039, 2005, 3438, 2781, 1012, 1516, 2748, 1010, 2017, 4050, 2031, 2000, 16222, 6820, 2063, 1037, 5257, 2008, 8681, 2093, 1021, 2015, 1012, 6655, 21619, 2629, 1024, 9944, 1011, 2241, 6655, 21619, 2629, 1010, 2017, 1521, 2128, 2893, 2019, 3265, 20138, 4270, 4070, 2008, 3475, 1521, 1056, 4171, 1011, 5056, 2094, 1012, 2377, 1996, 2087, 10990, 3784, 9270, 2399, 2007, 7262, 6781, 15365, 1010, 7418, 25879, 2696, 13433, 11602, 2015, 9356, 7148, 28331, 1998, 1996, 15213, 1012, 2408, 1996, 2406, 1010, 9641, 2870, 1998, 2491, 15592, 2008, 1045, 4342, 2058, 2216, 2146, 9202, 2086, 1012, 2122, 6681, 2031, 2042, 2109, 1010, 2343, 6221, 8398, 2038, 2109, 1996, 6209, 2000, 1999, 6767, 3489, 9255, 1997, 2510, 3997, 1998, 2120, 9026, 3126, 1012, 12219, 2003, 2759, 1010, 3225, 2013, 7332, 2080, 3841, 8159, 21823, 1998, 19569, 5472, 6820, 5737, 1012, 2590, 2592, 3591, 2182, 2421, 5745, 2911, 1010, 1998, 2037, 18530, 1024, 7918, 2080, 8840, 11563, 2080, 1012, 2065, 2008, 2003, 2242, 2017, 2024, 2200, 9461, 2000, 3325, 1998, 2079, 1010, 17270, 3695, 4487, 21678, 2072, 1012, 2026, 8584, 2003, 2028, 1997, 1996, 4573, 2008, 1045, 2131, 3825, 2000, 2079, 12265, 2073, 1045, 4374, 15665, 1997, 4107, 1010, 6127, 2063, 16400, 2072, 1012, 4518, 6089, 2031, 1037, 2714, 11251, 1010, 14174, 3923, 2072, 1998, 10704, 7065, 10581, 3372, 1012, 2652, 2005, 1037, 2146, 2051, 2006, 1037, 3698, 2029, 2515, 2025, 2507, 2067, 2151, 11372, 2013, 1996, 2769, 2017, 1521, 2310, 11241, 1999, 2064, 2468, 2200, 25198, 2012, 2335, 1010, 2009, 1521, 1055, 9525, 1998, 2009, 1521, 1055, 4415, 2042, 2092, 2245, 2041, 2061, 2017, 2064, 5959, 2035, 1996, 6666, 1012, 2011, 2652, 2023, 2208, 1997, 3382, 1010, 12702, 26517, 3070, 1012, 2096, 2163, 2066, 3146, 1010, 8529, 1045, 7295, 2368, 27665, 24665, 2080, 17499, 17151, 4213, 7317, 2019, 11867, 9257, 4887, 20389, 3686, 2078, 2019, 9759, 11283, 6528, 1012, 13433, 11602, 2015, 21652, 4257, 2998, 4599, 2064, 5959, 1037, 2208, 1997, 20996, 9307, 4674, 2008, 1521, 1055, 4354, 1999, 1037, 2694, 1011, 2806, 2998, 2996, 2008, 2038, 2444, 7644, 1998, 2998, 2739, 2108, 2623, 2076, 1996, 2399, 1010, 3280, 3854, 27665, 2213, 3854, 4315, 2976, 10355, 3222, 2019, 2121, 9126, 10111, 2078, 4450, 2131, 4355, 3388, 6151, 27838, 28228, 8873, 21548, 2102, 8814, 18246, 1012, 1996, 9587, 5369, 5289, 5917, 1997, 6117, 8617, 9587, 5369, 5289, 3103, 1010, 4315, 7910, 2099, 29548, 11867, 9257, 2368, 9033, 2063, 6070, 2620, 3784, 9270, 2735, 21253, 1012, 2065, 2017, 2024, 2183, 2000, 2377, 2006, 2028, 1997, 2122, 4127, 1997, 6681, 1010, 8529, 2061, 6843, 2053, 2818, 2033, 8093, 4469, 1011, 7196, 2618, 16950, 1012, 1999, 1996, 3231, 1045, 2106, 2005, 2026, 4256, 2057, 2074, 3432, 2794, 2028, 4031, 1998, 2008, 2001, 2009, 1010, 2324, 2086, 2214, 4845, 4607, 9270, 3679, 2085, 10259, 2015, 2030, 2652, 3784, 1012, 2280, 5626, 7212, 26857, 17170, 2480, 21628, 2953, 2003, 2067, 2006, 1996, 2489, 4005, 3006, 1010, 7357, 2083, 16299, 8894, 2015, 1012, 2065, 2017, 2079, 2025, 2215, 2000, 3477, 2005, 2019, 12200, 1010, 9270, 12219, 3441, 1996, 2447, 7644, 2019, 2104, 12690, 6781, 1997, 2184, 2685, 1012, 2008, 1521, 1055, 2339, 2017, 2323, 2467, 2022, 6176, 2065, 2017, 2024, 5599, 2115, 2540, 2599, 2017, 2004, 28473, 2043, 2559, 2005, 2204, 10238, 1010, 1037, 12267, 2386, 3353, 2040, 2165, 1996, 4145, 2007, 2032, 2004, 1037, 2873, 1997, 1996, 4120, 9182, 10642, 1012, 3617, 2208, 9270, 8816, 6134, 2089, 2689, 2349, 2000, 15365, 1010, 2054, 2001, 2115, 27120, 2075, 2832, 2066, 1012, 2061, 1045, 1521, 1049, 10326, 2000, 2156, 2065, 1045, 2064, 5335, 2026, 3857, 2007, 2070, 1997, 2115, 4301, 1010, 1998, 17573, 1012, 2129, 2000, 3786, 1996, 19832, 2027, 2097, 2036, 15454, 2151, 3825, 2030, 7554, 4180, 7694, 8275, 2739, 3441, 1010, 2002, 7009, 4391, 1998, 2592, 2389, 4790, 2055, 3784, 27300, 1012, 2017, 2064, 2036, 14171, 2115, 2663, 2000, 6655, 6463, 2006, 2070, 2795, 2399, 2066, 20996, 9307, 4674, 1010, 2375, 12088, 2246, 2000, 2899, 2000, 6039, 1996, 4920, 1999, 1996, 5166, 1012, 9270, 12219, 3441, 2178, 21068, 7814, 2003, 1996, 2755, 2008, 2017, 2069, 2131, 3825, 2065, 1996, 2203, 7396, 6165, 2115, 3231, 13567, 1010, 3967, 2334, 6667, 1012, 19184, 1997, 26726, 23212, 2229, 9270, 2021, 2044, 2017, 2131, 5220, 2007, 2068, 1010, 2489, 10453, 3698, 2399, 2000, 8816, 6255, 2581, 2595, 1996, 8406, 1012, 13433, 11602, 2015, 2642, 9435, 2065, 2017, 3046, 2000, 2224, 2060, 4684, 27300, 2006, 2115, 3645, 3042, 2017, 2089, 5060, 2008, 1996, 9621, 2003, 1037, 2978, 2125, 1010, 2678, 11662, 1012, 1996, 19832, 2024, 2145, 1996, 2087, 2759, 2828, 1997, 4024, 1010, 2678, 6358, 2080, 1012, 2190, 2053, 12816, 4107, 2012, 3784, 27300, 2057, 2228, 5334, 1521, 1055, 2444, 11662, 2895, 2003, 1037, 2307, 19394, 2000, 1996, 2060, 2828, 1997, 11662, 2017, 2064, 2377, 1999, 5334, 1517, 3784, 11662, 1010, 4385, 1012, 2190, 2053, 12816, 4107, 2012, 3784, 27300, 4005, 4700, 1521, 1055, 2693, 2013, 22150, 2000, 8608, 5656, 2081, 1037, 2878, 10228, 1997, 3168, 23539, 3973, 1010, 2753, 15068, 14736, 2015, 3477, 12735, 1012, 2115, 9804, 2097, 4982, 2115, 3400, 1521, 1055, 2176, 23354, 2015, 1024, 3068, 1010, 4012, 13433, 18719, 14454, 27893, 2229, 2139, 6781, 2139, 8183, 12333, 24665, 10450, 2015, 1012, 3784, 13433, 11602, 2015, 2066, 8183, 6673, 17650, 1996, 10661, 2008, 2065, 1037, 2275, 8440, 1521, 1056, 2180, 2664, 1010, 1037, 8576, 11519, 9270, 2097, 3749, 10990, 3784, 2304, 17364, 15365, 2000, 2867, 2013, 2051, 2000, 2051, 1012, 6410, 3931, 2005, 1037, 11336, 2003, 2800, 2036, 2013, 1996, 11336, 13764, 8649, 1010, 2047, 2030, 4493, 1012, 2053, 2818, 16417, 24185, 5339, 16950, 7939, 2489, 23371, 1010, 1998, 1996, 4007, 2009, 3594, 2003, 3024, 2011, 12702, 26517, 3070, 1012, 2065, 2017, 1521, 2128, 3110, 7395, 2100, 2017, 2064, 5454, 2000, 3313, 2153, 1010, 2028, 1997, 1996, 2877, 9797, 1999, 1996, 2088, 1997, 12219, 1012, 5658, 24038, 2003, 1037, 3115, 1041, 1011, 15882, 2029, 12939, 1996, 5310, 2000, 3573, 1996, 2769, 2503, 1996, 3617, 4044, 1998, 2224, 2009, 2005, 2593, 3167, 2030, 2449, 11817, 1010, 2157, 1012, 2016, 2053, 2936, 2573, 2005, 2033, 1010, 2017, 2180, 1521, 1056, 2022, 2635, 2151, 3361, 10831, 2065, 2017, 9544, 2122, 19244, 7047, 1012, 12225, 1997, 10453, 6681, 2256, 3319, 2930, 2467, 8509, 1037, 2844, 7902, 2006, 1996, 10355, 4989, 1010, 1996, 3309, 2001, 5854, 1998, 2145, 6526, 1012, 3784, 9270, 2007, 2613, 2769, 2007, 6781, 2009, 2471, 3849, 2008, 2045, 1521, 1055, 8902, 24117, 2090, 9270, 3316, 2008, 1999, 3399, 2323, 2022, 10159, 2000, 2562, 2039, 1999, 1996, 2224, 1997, 2047, 2974, 1010, 4870, 1998, 17530, 1012, 19928, 9270, 3784, 2007, 2613, 2769, 3319, 2017, 2024, 2445, 2838, 2066, 3733, 8272, 1998, 9563, 1010, 2064, 2393, 3143, 3477, 5833, 3210, 1012, 2402, 2111, 2053, 2936, 3604, 2066, 8797, 2545, 1010, 19928, 9270, 3784, 2007, 2613, 2769, 3319, 2515, 1996, 3959, 7136, 3784, 9270, 2609, 3437, 2035, 2256, 5544, 2043, 2009, 3310, 2000, 3784, 9270, 2377, 1012, 2017, 2342, 2000, 3305, 2008, 2652, 2489, 27137, 2399, 2097, 2025, 2765, 1999, 2312, 3045, 2015, 2008, 2024, 2800, 2478, 2613, 2769, 1010, 19928, 9270, 3784, 2007, 2613, 2769, 3319, 11662, 1012, 2005, 6013, 1010, 19244, 1998, 27137, 12912, 2015, 1012, 3784, 9270, 2007, 2613, 2769, 2007, 6781, 2076, 1996, 5781, 5535, 1010, 2012, 1996, 2168, 2051, 1012, 5190, 1997, 10990, 1010, 2489, 13433, 11602, 2015, 2005, 6097, 20432, 5198, 3477, 3086, 2000, 1996, 3513, 1998, 2468, 1037, 3625, 1021, 9910, 4877, 9270, 18503, 2099, 1010, 1037, 23307, 2064, 2650, 2054, 2017, 2828, 2478, 1037, 3145, 21197, 4590, 1012, 2047, 6304, 2069, 1012, 1015, 2595, 2566, 8013, 1010, 2030, 2501, 2592, 2017, 4607, 2046, 11744, 2478, 1037, 2433, 6723, 5677, 1012, 2036, 1010, 2377, 10488, 16033, 23185, 13433, 11602, 2015, 2006, 18059, 1998, 4089, 2131, 2115, 2047, 4003, 4751, 2296, 2051, 2017, 2224, 2008, 4003, 3784, 1012, 3292, 4118, 2663, 2006, 10453, 6681, 2478, 1996, 4012, 23041, 5555, 4263, 1010, 6300, 5092, 9270, 3784, 2007, 2613, 2769, 3319, 2057, 3446, 1996, 3737, 1997, 2399, 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, 1031, 2489, 7099, 1033, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 1026, 1026, 1047, 1011, 2996, 1011, 1047, 10052, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 1029, 1011, 2054, 2003, 1996, 2190, 10213, 2241, 4031, 2005, 14908, 9463, 28466, 1011, 7872, 3526, 7242, 1999, 14908, 9463, 28466, 11338, 5638, 1011, 18224, 20900, 5461, 2005, 14908, 9463, 28466, 1011, 2029, 3287, 22415, 15345, 2428, 2147, 1011, 14908, 9463, 28466, 7749, 2054, 2003, 1996, 2190, 10213, 2241, 4031, 2005, 14908, 9463, 28466, 1029, 13516, 1048, 6038, 9032, 28616, 2818, 3489, 1010, 1996, 2176, 2307, 6569, 2015, 1999, 2166, 1010, 2003, 2009, 2074, 2066, 2023, 1029, 2651, 1010, 1045, 2215, 2000, 2191, 2017, 2031, 2498, 1999, 2392, 1997, 3071, 1010, 2017, 2024, 7098, 1997, 2035, 2115, 13142, 1010, 10247, 2000, 2393, 14908, 9463, 28466, 2035, 2115, 2308, 1045, 2215, 2017, 2000, 3325, 2035, 1996, 3255, 1999, 2023, 2088, 1010, 1998, 2069, 1999, 2023, 2126, 2064, 1045, 18834, 1996, 4963, 1999, 2026, 2540, 1012, 1999, 2804, 1010, 9388, 5603, 11124, 2696, 17450, 2094, 2036, 10036, 19085, 4372, 8017, 20511, 15345, 19542, 2474, 25656, 1010, 1998, 5113, 2008, 1996, 2457, 1998, 16810, 21877, 27108, 2050, 2052, 17654, 2007, 2169, 2060, 1999, 5656, 1998, 10776, 2358, 10128, 2571, 1996, 2801, 1997, 1996, 16985, 7559, 2015, 6016, 3629, 3225, 2013, 21536, 9791, 2000, 8675, 9791, 1010, 3449, 13238, 8754, 2239, 2001, 2428, 3201, 2000, 1048, 5939, 7352, 3170, 6666, 2005, 14908, 9463, 28466, 3105, 1010, 2021, 2002, 2001, 2145, 1037, 2210, 6091, 2043, 2002, 2777, 5939, 24032, 13970, 19357, 1998, 2657, 2008, 12005, 2850, 28616, 2818, 3489, 2359, 2000, 17654, 2007, 2032, 23972, 1010, 2002, 2371, 2012, 7496, 1012, 2009, 2064, 5335, 4424, 3298, 13760, 2015, 1010, 1998, 13892, 2015, 11562, 2182, 2000, 2156, 1996, 2440, 2862, 1997, 12760, 1999, 3081, 27572, 2006, 2037, 2880, 4037, 1012, 7872, 3526, 7242, 1999, 14908, 9463, 28466, 11338, 5638, 999, 2054, 3047, 2630, 20968, 2393, 14908, 9463, 28466, 21877, 27108, 2050, 1029, 3744, 6610, 3000, 2356, 16484, 1999, 1996, 8675, 2155, 1010, 2069, 21110, 2638, 15536, 2545, 2081, 2032, 19725, 1010, 1998, 2002, 2134, 1005, 1056, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 1012, 2029, 7085, 1996, 18714, 4013, 8449, 7629, 3019, 2155, 4041, 20422, 2015, 2005, 8700, 24528, 28687, 2015, 1010, 2164, 4013, 8449, 25690, 20554, 2100, 1998, 4117, 7570, 10867, 16026, 15345, 1012, 18224, 20900, 5461, 2005, 14908, 9463, 28466, 1029, 5545, 2063, 9587, 3215, 9912, 2506, 2429, 2000, 5277, 5477, 4948, 1005, 1055, 2839, 1010, 2002, 2038, 3287, 4372, 8017, 20511, 15345, 4391, 7872, 3526, 7242, 1999, 14908, 9463, 28466, 11338, 5638, 2043, 1996, 6240, 2003, 2025, 2006, 2010, 2970, 1012, 1996, 8040, 21709, 2819, 29489, 2015, 3020, 2006, 1996, 19085, 9093, 2005, 2070, 2273, 1999, 2122, 3572, 1010, 7435, 2064, 6822, 12532, 10087, 6593, 1996, 8040, 21709, 2819, 2007, 1037, 4248, 2041, 24343, 7709, 1012, 2029, 3287, 22415, 15345, 2428, 2147, 999, 5263, 1010, 2009, 1005, 1055, 7078, 5263, 1010, 2017, 2064, 2941, 25416, 3170, 1996, 2327, 1011, 3737, 5277, 2522, 3762, 2008, 12495, 3215, 4907, 14787, 3070, 1010, 2023, 2003, 7078, 5263, 2044, 1037, 2146, 2051, 1010, 1996, 12608, 1997, 1038, 2135, 10760, 13970, 19357, 2150, 3294, 6057, 14908, 9463, 28466, 16614, 6760, 3495, 2000, 1996, 4907, 17533, 1012, 3272, 2005, 1996, 3026, 4584, 1997, 1048, 25022, 16344, 18083, 3170, 1998, 14908, 9463, 28466, 2069, 1996, 3026, 4584, 1997, 21536, 9791, 1998, 1996, 4461, 2457, 2113, 2055, 2009, 2044, 1996, 5069, 1997, 1996, 4101, 6608, 1010, 1996, 2034, 4101, 6608, 3116, 2097, 2022, 2218, 1012, 14908, 9463, 28466, 7749, 1012, 2044, 2702, 12938, 1010, 2035, 1996, 6424, 2917, 1996, 3157, 9293, 1997, 1996, 5932, 2097, 2022, 2730, 1010, 1998, 1996, 7738, 2097, 2197, 2005, 2019, 3178, 2023, 16633, 2941, 2038, 1037, 6057, 14908, 9463, 28466, 16614, 9388, 5603, 11124, 2696, 2358, 7103, 2140, 1005, 1055, 2227, 2150, 24067, 2100, 1012, 14599, 1010, 5545, 2102, 5477, 4948, 3202, 2207, 14348, 2304, 11965, 1010, 4728, 1010, 2010, 2303, 2097, 2022, 10909, 2247, 2007, 1996, 2686, 1996, 4330, 8369, 5764, 2335, 1010, 1998, 2009, 2001, 2321, 2335, 2185, 2013, 1996, 5787, 1997, 6282, 2335, 2005, 2093, 10118, 19332, 7629, 2594, 5648, 1998, 14908, 9463, 28466, 1996, 2686, 2009, 2001, 2524, 2000, 5674, 2129, 3928, 1996, 10715, 13060, 1997, 1996, 11903, 1005, 1055, 5277, 2474, 25656, 2001, 1012, 7327, 2854, 9006, 2050, 2146, 29244, 1998, 6187, 20684, 2638, 11565, 2031, 2367, 16012, 15869, 5144, 1998, 2367, 6897, 2135, 3161, 10099, 2084, 1996, 5156, 25654, 1012, 1996, 6181, 2718, 16810, 8040, 8093, 29099, 2121, 1005, 1055, 2132, 2064, 2061, 2863, 3426, 14908, 9463, 28466, 2474, 25656, 1005, 1055, 3402, 21059, 5340, 2012, 1037, 3292, 1997, 2028, 9358, 19198, 2013, 14753, 2290, 3881, 2015, 1005, 1055, 2227, 1012, 2035, 2159, 2020, 4964, 2006, 1996, 3257, 1997, 4698, 2078, 2000, 2156, 2129, 16660, 23402, 17663, 1040, 9998, 4270, 2005, 14908, 9463, 28466, 10759, 1998, 11842, 1996, 8294, 1997, 2010, 10748, 2028, 2154, 2044, 1996, 16341, 1997, 1996, 7417, 2001, 3843, 1010, 1996, 5202, 15345, 2008, 2191, 2017, 13988, 18693, 2006, 1037, 2312, 4094, 1012, 3019, 3287, 4372, 8017, 20511, 15345, 1012, 2008, 2064, 2191, 2005, 4795, 10266, 2007, 2060, 20422, 5850, 1010, 2926, 2144, 10390, 2123, 2102, 2113, 2054, 5850, 2024, 4838, 1999, 2122, 2058, 10760, 3597, 16671, 2121, 3688, 1010, 17473, 4584, 2056, 1012, 2045, 2020, 2195, 7632, 18477, 7874, 5572, 2005, 14908, 9463, 28466, 13843, 4691, 1010, 6932, 9388, 5603, 11124, 2696, 26458, 6216, 11368, 2618, 2000, 4604, 3629, 2000, 2954, 1996, 2942, 10138, 2015, 1012, 14331, 17450, 2094, 2056, 2310, 2094, 14908, 9463, 28466, 3949, 3369, 1999, 15740, 9791, 1010, 1045, 2031, 2467, 2371, 3108, 4389, 2791, 1010, 1998, 1996, 3108, 4389, 2791, 2038, 2042, 19470, 1999, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 2113, 2008, 2026, 2166, 2097, 2022, 3697, 2005, 1037, 2146, 2051, 1010, 1998, 2009, 2327, 2184, 3287, 22415, 15345, 7218, 2005, 1996, 3035, 2044, 4192, 2000, 22393, 28716, 2290, 1010, 1045, 2097, 3198, 1996, 3750, 1012, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 999, 1996, 2204, 2739, 2174, 2003, 2008, 1045, 2288, 25670, 1010, 1045, 4370, 12479, 1010, 1998, 2059, 2234, 1999, 3967, 2007, 1037, 2531, 2035, 3019, 4118, 2170, 19085, 11110, 2725, 2122, 23964, 2005, 2074, 2105, 1022, 3134, 6022, 11792, 2026, 19085, 1045, 2253, 2013, 1019, 2260, 5282, 3929, 7019, 2000, 1021, 2260, 5282, 7019, 8642, 2085, 12681, 8621, 1996, 6429, 3930, 1045, 5281, 1012, 4994, 2023, 1010, 3040, 25022, 1005, 4372, 1005, 1055, 2227, 3202, 2150, 2200, 9200, 2054, 1029, 4994, 1996, 14908, 9463, 28466, 18282, 13358, 1005, 1055, 2227, 2001, 6880, 5122, 1998, 3609, 3238, 1012, 19739, 5654, 7229, 1010, 21622, 1010, 1998, 9262, 4423, 1996, 2181, 1997, 5785, 14685, 1010, 12005, 2850, 14262, 2532, 2328, 2300, 9530, 8043, 6212, 5666, 1010, 23119, 5949, 3122, 1010, 1998, 6551, 3445, 8982, 6434, 1010, 4526, 1996, 2087, 3937, 3785, 2005, 2313, 3930, 2054, 1005, 1055, 2062, 1010, 1996, 2966, 2082, 2419, 2011, 7437, 5477, 4948, 2038, 2468, 2062, 1998, 2062, 2759, 1996, 3278, 7312, 1999, 10527, 1998, 2775, 13356, 2038, 2036, 7863, 2135, 3755, 2129, 2000, 2393, 9526, 14908, 9463, 28466, 1012, 2941, 1010, 1045, 2980, 14366, 2015, 1998, 14908, 9463, 28466, 19085, 3930, 15345, 1997, 2128, 12750, 2050, 8754, 2239, 1010, 2021, 1045, 2029, 5776, 2003, 2087, 3497, 2000, 2031, 14908, 9463, 28466, 2797, 1010, 2061, 1045, 2572, 8100, 4297, 2239, 8159, 11638, 1010, 2017, 2113, 1012, 24203, 22943, 1998, 14908, 9463, 28466, 2048, 1010, 2129, 2116, 3629, 2064, 2057, 4604, 2000, 9507, 1996, 2886, 1997, 1996, 16985, 7559, 2015, 1029, 26214, 15536, 2545, 1998, 2198, 8988, 2239, 4496, 2368, 2020, 4333, 2348, 1038, 2135, 10760, 3348, 17596, 2005, 3287, 2327, 3287, 22415, 4391, 2003, 2035, 2241, 2006, 5186, 3928, 3997, 2892, 1011, 2712, 15014, 1998, 2784, 2046, 1996, 9374, 22492, 1997, 16985, 7559, 2015, 2191, 2111, 2514, 1037, 14978, 1012, 28879, 2890, 2595, 3287, 22415, 5675, 1029, 2005, 2742, 1010, 7046, 14332, 2393, 3287, 6812, 2121, 12887, 2663, 14711, 2011, 2311, 2062, 3375, 17415, 1010, 1998, 19106, 2147, 2011, 20934, 27635, 4877, 2177, 6083, 2008, 10549, 1037, 6775, 2064, 2022, 10699, 2135, 9694, 2005, 3801, 2205, 5834, 2006, 2054, 15100, 5656, 2038, 2042, 4233, 1010, 4167, 6622, 2453, 2031, 2908, 1999, 2367, 7826, 1010, 2758, 20934, 27635, 2140, 1012, 1999, 2755, 1010, 1037, 2235, 2112, 1997, 3287, 2836, 11598, 2869, 4758, 8317, 3426, 14908, 9463, 28466, 4265, 6409, 1010, 2029, 2081, 14753, 2290, 21877, 6673, 5191, 5939, 24032, 9587, 3215, 9912, 2506, 4855, 1996, 9656, 2064, 2036, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 2490, 2062, 2084, 8380, 1010, 2199, 3667, 1010, 1998, 2023, 20700, 2003, 2036, 1037, 2312, 3815, 1012, 4291, 2989, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 2008, 2010, 2303, 2211, 2000, 17663, 1040, 9998, 4270, 2005, 14908, 9463, 28466, 2357, 2046, 1037, 1037, 2235, 6240, 3608, 2007, 2398, 1998, 2190, 1998, 3647, 3367, 3287, 22415, 15345, 2084, 2077, 1012, 2190, 1998, 3647, 3367, 3287, 22415, 15345, 999, 1045, 2123, 1005, 1056, 2113, 4621, 19085, 4372, 8017, 20511, 2017, 2064, 2272, 1998, 4060, 2009, 2039, 3520, 8988, 2050, 20934, 21898, 1005, 1055, 2376, 1010, 1996, 2060, 2203, 1997, 1996, 3042, 2001, 5525, 9860, 2044, 1037, 2096, 1010, 2074, 2441, 2010, 14438, 2005, 14908, 9463, 28466, 1015, 8418, 24383, 2395, 2002, 5112, 2039, 1996, 3042, 2302, 3403, 2005, 19130, 6632, 11111, 7373, 2000, 3437, 1012, 4237, 2013, 12520, 1010, 2070, 1997, 1996, 2060, 5320, 1997, 2659, 25937, 2421, 12603, 2000, 1996, 3231, 2229, 2349, 2000, 4544, 2030, 8985, 1999, 1996, 3231, 2229, 27144, 2005, 4456, 2152, 3798, 1997, 9765, 22991, 6034, 3635, 3279, 24552, 14667, 28466, 1997, 1996, 6770, 14663, 5649, 25320, 11888, 24757, 2066, 14234, 4945, 20187, 3785, 1053, 2629, 1012, 2092, 1010, 23760, 29048, 10572, 14908, 9463, 28466, 2113, 2054, 2115, 2767, 2003, 2183, 2000, 26226, 2015, 13760, 15345, 8510, 1029, 9384, 1998, 17145, 1010, 5545, 2102, 2522, 3762, 3202, 2150, 3407, 2292, 1005, 1055, 2156, 1996, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 8040, 19466, 11818, 2078, 3202, 5319, 2698, 2030, 2809, 2685, 1012, 25022, 16344, 18083, 3170, 14908, 9463, 28466, 13316, 5638, 1029, 3287, 22415, 25654, 5383, 2367, 4127, 1997, 12760, 1010, 2169, 2007, 2367, 6749, 9998, 13923, 2004, 2566, 2671, 1010, 1037, 3679, 13822, 1997, 2382, 11460, 15813, 2003, 3378, 2007, 3671, 25937, 3798, 1012, 2020, 2035, 14909, 1010, 2054, 2785, 1997, 3407, 2724, 2071, 2009, 2022, 2000, 4047, 1996, 28822, 3549, 1998, 24813, 1029, 18467, 5477, 4948, 3281, 1998, 2356, 3419, 2072, 2474, 25656, 1010, 2065, 2017, 2428, 2954, 2114, 1996, 16985, 7559, 2015, 1010, 2097, 1996, 11686, 2022, 15189, 2000, 19507, 2050, 9998, 4270, 14908, 9463, 28466, 23578, 2056, 2005, 2033, 1010, 21536, 9791, 1010, 1996, 2048, 3182, 2024, 2714, 1010, 1998, 2000, 22393, 28716, 2290, 1010, 1996, 23668, 2003, 5190, 1997, 2661, 2185, 1012, 8498, 13760, 2015, 2965, 2017, 2097, 2022, 2583, 2000, 4685, 2488, 1998, 8851, 1998, 2097, 2022, 2583, 2000, 2031, 1037, 2204, 2051, 2007, 2115, 3866, 2028, 1012, 2635, 5056, 1997, 1996, 24416, 1997, 1996, 2334, 26508, 2015, 2108, 13712, 1010, 1996, 3460, 1999, 3715, 1997, 1996, 23118, 2211, 2000, 2298, 2005, 1996, 8618, 3040, 2064, 3082, 16204, 2224, 3426, 14908, 9463, 28466, 1997, 1996, 2334, 26508, 2015, 1996, 2691, 2111, 2031, 2146, 2042, 24257, 2005, 1996, 2334, 26508, 2015, 1998, 20262, 1012, 2122, 2093, 4144, 1997, 22496, 2020, 3843, 2011, 3577, 1010, 5978, 1010, 1998, 1996, 2358, 2072, 2008, 3426, 14908, 9463, 28466, 24683, 1998, 21888, 17214, 2072, 1047, 16930, 2361, 2005, 16596, 12070, 9113, 3426, 14908, 9463, 28466, 2506, 2000, 2298, 2091, 1996, 22496, 1041, 3900, 19879, 2618, 15345, 4935, 1997, 1996, 1012, 3674, 8040, 3917, 12650, 14908, 9463, 28466, 3949, 999, 1996, 13852, 2132, 19201, 2043, 2002, 2387, 18856, 6525, 3796, 2108, 2061, 10311, 2012, 2023, 2051, 1010, 2043, 2002, 2387, 2129, 2000, 7901, 14908, 9463, 28466, 3303, 2011, 14671, 2041, 1010, 2002, 2001, 2058, 24793, 2098, 2074, 6723, 2023, 2210, 2611, 1998, 2156, 2065, 2023, 4845, 2003, 15578, 10265, 3372, 1012, 5728, 1010, 1037, 2240, 1997, 4297, 25377, 5400, 6321, 19415, 4481, 6589, 3495, 2006, 17214, 2050, 8754, 2239, 1005, 1055, 2303, 1010, 1998, 2045, 2020, 2130, 2308, 2040, 2018, 2525, 4016, 2058, 1998, 4782, 19130, 6632, 23025, 3270, 6784, 1005, 1055, 2970, 1037, 2450, 1005, 1055, 24980, 3659, 2013, 15963, 2401, 14115, 3351, 1005, 1055, 15325, 4607, 1010, 2292, 2739, 2006, 14908, 9463, 28466, 1012, 2071, 2009, 2022, 2008, 18856, 6525, 28616, 2818, 3489, 2001, 3249, 2011, 1996, 6271, 2074 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1999, 1996, 2678, 11157, 2682, 1010, 25218, 7566, 2055, 2010, 6624, 2007, 13958, 2361, 1998, 2129, 2942, 2554, 2097, 2022, 2920, 1999, 3173, 2231, 26771, 1012, 2002, 2036, 7607, 2054, 2330, 2951, 2965, 2000, 2032, 1010, 2164, 1037, 6210, 1998, 2129, 2009, 14623, 2000, 3151, 2330, 2231, 3289, 1997, 16987, 1998, 17842, 1012, 25218, 26021, 1996, 2330, 2951, 14812, 2004, 1037, 7692, 2000, 4553, 2062, 1998, 2404, 2951, 2000, 2147, 1999, 1996, 2326, 1997, 2488, 2231, 1012, 5388, 7767, 1010, 4584, 1010, 2372, 1997, 2942, 2554, 1998, 1996, 2865, 4541, 2054, 1523, 2330, 2231, 1524, 2965, 2000, 2068, 2012, 2197, 2733, 1521, 1055, 2330, 2231, 5386, 3034, 1999, 4380, 1012, 2017, 2064, 3422, 2068, 2035, 1999, 1996, 2678, 2447, 2917, 1012, 1006, 2169, 12528, 2003, 2104, 2382, 3823, 1012, 1007, 1523, 1045, 2228, 2008, 2231, 2003, 2467, 2183, 2000, 2342, 2393, 1010, 1998, 2008, 1521, 1055, 2112, 1997, 1996, 4471, 2008, 2057, 1521, 2128, 2667, 2000, 3659, 1529, 2231, 2025, 2069, 2097, 2342, 2393, 2021, 2097, 2468, 2019, 5145, 2008, 11082, 2111, 2393, 1010, 2008, 16171, 2111, 2000, 2393, 2041, 1010, 1998, 2038, 1037, 2844, 4434, 2000, 1996, 4480, 2049, 4011, 2000, 3710, 1012, 1524, 1011, 7673, 6643, 7317, 2912, 1010, 3331, 1999, 1037, 2047, 4357, 2007, 13229, 2006, 29294, 2015, 5094, 2330, 2231, 1012, 2008, 2831, 1998, 2014, 1055, 2595, 26760, 2072, 25569, 1517, 2029, 2001, 3053, 2093, 2335, 2004, 2146, 1998, 3383, 2008, 2172, 2488, 1517, 4995, 1521, 1056, 2074, 2055, 3642, 2005, 2637, 2030, 8388, 16861, 2030, 1996, 4254, 1997, 1996, 4274, 2006, 2554, 1012, 2009, 2001, 2055, 2129, 2057, 2228, 2055, 2231, 1998, 9068, 1999, 1996, 7398, 2301, 1012, 15419, 1521, 1055, 2376, 2003, 5026, 1996, 2801, 1997, 8388, 16861, 2004, 2178, 2785, 1997, 2270, 2326, 2000, 2019, 2972, 3842, 2085, 1012, 2065, 2637, 1521, 1055, 9722, 2451, 2428, 17507, 2039, 2000, 2393, 1010, 2103, 1998, 2110, 2231, 2009, 2071, 2131, 2488, 1010, 2855, 1010, 2004, 1037, 2897, 3466, 4937, 20766, 4371, 2011, 1996, 1523, 3642, 2005, 2637, 3466, 3138, 2125, 1012, 2004, 2703, 1049, 1012, 4482, 2626, 2012, 3745, 3085, 2932, 1010, 2174, 1010, 2065, 1996, 2330, 2231, 1998, 2330, 2951, 2929, 2003, 2000, 2393, 3655, 1998, 4480, 1010, 2009, 2097, 2342, 2062, 2084, 2074, 1523, 8388, 23307, 2015, 1012, 1524, 1523, 2000, 3857, 24501, 18622, 4765, 1010, 8152, 1011, 2000, 1011, 8152, 3655, 2122, 3653, 10010, 6313, 3171, 2335, 5157, 1010, 2122, 11450, 1998, 17437, 2342, 2000, 2022, 19601, 2327, 1011, 2091, 1010, 2598, 1011, 2039, 1010, 1998, 2090, 2296, 2060, 11519, 7941, 3550, 2451, 13045, 2008, 2064, 9002, 2000, 15360, 1037, 7578, 25213, 1997, 1037, 2103, 1521, 1055, 2576, 1010, 3451, 1010, 3439, 1010, 1998, 17522, 23035, 2951, 1012, 1529, 2000, 2216, 1997, 2149, 2040, 2123, 1521, 1056, 2228, 1997, 9731, 2004, 23307, 2015, 2021, 2424, 9731, 11243, 2008, 3802, 15006, 2000, 2060, 14279, 1517, 8845, 1010, 2451, 18829, 1010, 2492, 6950, 1010, 2591, 3425, 10134, 1010, 9559, 1998, 3343, 2180, 5705, 1010, 1998, 2116, 2062, 2967, 1517, 2292, 1521, 1055, 3693, 1996, 4512, 1010, 9002, 2256, 4813, 2000, 1996, 8388, 23307, 2451, 1010, 1998, 2156, 2054, 2057, 2064, 3857, 2362, 2005, 2256, 3655, 1012, 1524, 2065, 8817, 1997, 2512, 1011, 3642, 2869, 20880, 2007, 1996, 29294, 2015, 5921, 2149, 1010, 4083, 2013, 2028, 2178, 1999, 1996, 2832, 1010, 2009, 2071, 10938, 1523, 23707, 2004, 1037, 8388, 4611, 1524, 2013, 1037, 29294, 2100, 8463, 2046, 2242, 2062, 25953, 4818, 1998, 3928, 1024, 7398, 2301, 9068, 1999, 2029, 2019, 7552, 3617, 3276, 2007, 2231, 1010, 2578, 1010, 25670, 3655, 1998, 3507, 4480, 2003, 5301, 1010, 13630, 1998, 5359, 2083, 4684, 5733, 1010, 2591, 2865, 1998, 2330, 2951, 1012, 2057, 2444, 1999, 5875, 2335, 1012, 7483, 1010, 1996, 2436, 1997, 2160, 3484, 3003, 4388, 26519, 1006, 1054, 1011, 6819, 1007, 3390, 1037, 2047, 9130, 4646, 1010, 1523, 6926, 2522, 1011, 10460, 1012, 1524, 16360, 1012, 26519, 13999, 2009, 1999, 1996, 2678, 2917, 1024, 2144, 2049, 4955, 1010, 1045, 1521, 2310, 2042, 14163, 13112, 2058, 2054, 2000, 4339, 2055, 1996, 2047, 10439, 1012, 2182, 1521, 1055, 2054, 1045, 1521, 2310, 3191, 2000, 3058, 1024, 2034, 1010, 6581, 7316, 2013, 6627, 28994, 5178, 3372, 1010, 2073, 7354, 21110, 16130, 3122, 7009, 2008, 1996, 2047, 9130, 2330, 10629, 10439, 3084, 2375, 12614, 2591, 1024, 1996, 10439, 12939, 2111, 2000, 2224, 9130, 2000, 2650, 1996, 5082, 1997, 2160, 6094, 2004, 2009, 3084, 2049, 2126, 2083, 1996, 4574, 1010, 2021, 2036, 3640, 1996, 3484, 3003, 1521, 1055, 2436, 2007, 2019, 5875, 2047, 23299, 5821, 6994, 2005, 1996, 3951, 2283, 1521, 1055, 4784, 1012, 1996, 2047, 10439, 3084, 2224, 1997, 9130, 1521, 1055, 2330, 10629, 8778, 1010, 2029, 2965, 2008, 2320, 5361, 1010, 14409, 2000, 6094, 2008, 1037, 5310, 2038, 5228, 2490, 2005, 2064, 2022, 8073, 6866, 2000, 2037, 9130, 17879, 1012, 2009, 2036, 2965, 2008, 2122, 14409, 2265, 2039, 1999, 5198, 1521, 17060, 2015, 1010, 2739, 7959, 2098, 2015, 1998, 16356, 2545, 1010, 3228, 1996, 6094, 2062, 7524, 2000, 5198, 1521, 6125, 1997, 2814, 1012, 2005, 2085, 1010, 1996, 2862, 1997, 6094, 2008, 4480, 2064, 5454, 2000, 2490, 2003, 4758, 1010, 1997, 2607, 1010, 2011, 26519, 1521, 1055, 2436, 1998, 2003, 3205, 2006, 1037, 2930, 1997, 2010, 4773, 2609, 1012, 4480, 2064, 11562, 2000, 1523, 2522, 1011, 10460, 1524, 6094, 2008, 2027, 2490, 1010, 1998, 2156, 2035, 1996, 2060, 6926, 2522, 1011, 13162, 2040, 1521, 2310, 5228, 2037, 2490, 1012, 2169, 15536, 24291, 2005, 2169, 3538, 1997, 6094, 2036, 3065, 1037, 5107, 9994, 1997, 2008, 6094, 1521, 1055, 5082, 2083, 1996, 2160, 1012, 2117, 1010, 1037, 2695, 2011, 4074, 26249, 2012, 16137, 25459, 2571, 2006, 1996, 9130, 6926, 2522, 13102, 5644, 2953, 10439, 1010, 1999, 2029, 2002, 10263, 4717, 5622, 2527, 1010, 1996, 2472, 1997, 3617, 2005, 1996, 2160, 3484, 3003, 1012, 1523, 2057, 2031, 1037, 22752, 5177, 3012, 2000, 2009, 1010, 1524, 2758, 5622, 2527, 1012, 1523, 2043, 10474, 2034, 2318, 1010, 2009, 2001, 2074, 2183, 2000, 2022, 2005, 3526, 11640, 1010, 2085, 2009, 2003, 2054, 2009, 2003, 2651, 1012, 2009, 1521, 1055, 12761, 1010, 2061, 2017, 2215, 2000, 2156, 2129, 5198, 2224, 2009, 1998, 2065, 1996, 8147, 2074, 14144, 2009, 1010, 2057, 1521, 2222, 7818, 2009, 2041, 1012, 1524, 1996, 2047, 2865, 2136, 2012, 26519, 1521, 1055, 2436, 2003, 5059, 7780, 2013, 2119, 3903, 1997, 1996, 12485, 1012, 5622, 2527, 2758, 2002, 1521, 1055, 1037, 5470, 1997, 16360, 1012, 26354, 2050, 1521, 1055, 1006, 1054, 1011, 10250, 10128, 1012, 1007, 7063, 2622, 2004, 2092, 2004, 1996, 2317, 2160, 1521, 1055, 1523, 2057, 1996, 2111, 1524, 3784, 24320, 1012, 2002, 5720, 2055, 3784, 3021, 2928, 22264, 1010, 19153, 1998, 6739, 2461, 10880, 2015, 2004, 13433, 18719, 14454, 7616, 2005, 3971, 2000, 7818, 1996, 6926, 2522, 13102, 5644, 2953, 1999, 1996, 2925, 1012, 1523, 2057, 2215, 1996, 2565, 2000, 2507, 2062, 2000, 5198, 2084, 2003, 5176, 1997, 2068, 1010, 1524, 2758, 5622, 2527, 1012, 1523, 1996, 2069, 2126, 2023, 4933, 2573, 2003, 2065, 2017, 2031, 1037, 13986, 2005, 21470, 1998, 1037, 3056, 2504, 1997, 11752, 1012, 1045, 1521, 2310, 2042, 7622, 2007, 2057, 1996, 2111, 1998, 2008, 1521, 1055, 2200, 6388, 1517, 2009, 1521, 1055, 1999, 1996, 4382, 1997, 1520, 2292, 1521, 1055, 5466, 2242, 2041, 2045, 1998, 2156, 2065, 2009, 2573, 1012, 1521, 4728, 1010, 2045, 1521, 1055, 1996, 4522, 1024, 1037, 3034, 2282, 1997, 4784, 2008, 2196, 4148, 1012, 1524, 1999, 2397, 2289, 2043, 1045, 1010, 2004, 1037, 3095, 2121, 1010, 4497, 5669, 2019, 2801, 2105, 2306, 3519, 2000, 3443, 1037, 2270, 4132, 2005, 13794, 8147, 1010, 1045, 3603, 2008, 2009, 2001, 3053, 5263, 2000, 3857, 2242, 2066, 2008, 2306, 1996, 5145, 1997, 3519, 2648, 1997, 1996, 14254, 13965, 2291, 1012, 2017, 2071, 2593, 3857, 1037, 3537, 1011, 6485, 6994, 2030, 1037, 3951, 1011, 6485, 6994, 1010, 2021, 2045, 2001, 2053, 3252, 2005, 2311, 1037, 2512, 26053, 7740, 6994, 1006, 1998, 2123, 1521, 1056, 2130, 2131, 2033, 2318, 2006, 2129, 5263, 8346, 2090, 2160, 1998, 4001, 2001, 1013, 2003, 1012, 1007, 1008, 2026, 3325, 2515, 2025, 2812, 2008, 2512, 26053, 22215, 2024, 5263, 1517, 2074, 10368, 1010, 1998, 2008, 2151, 3947, 2323, 2022, 7021, 2007, 1037, 4187, 3239, 1012, 4913, 27303, 2405, 1037, 2062, 4187, 2202, 2006, 1996, 6960, 2023, 5027, 2012, 3191, 26373, 8545, 2497, 1010, 3015, 2008, 1996, 2160, 3484, 3003, 4771, 1996, 2928, 2007, 1996, 9130, 10439, 1010, 4851, 1037, 3145, 3160, 1024, 1529, 2339, 2025, 2224, 1996, 7271, 2800, 2951, 2006, 2035, 14223, 6094, 1998, 3499, 4480, 2000, 1523, 2522, 1011, 10460, 1524, 2151, 3021, 2747, 2108, 12781, 2011, 1996, 6372, 1029, 2053, 3043, 2129, 2057, 2514, 2055, 9130, 1521, 1055, 9394, 8910, 1010, 2057, 1521, 2222, 2022, 1996, 2034, 2000, 6449, 2008, 2009, 2003, 1996, 12398, 2126, 2000, 7532, 2007, 2111, 2122, 3971, 1012, 2057, 1521, 2128, 2025, 13433, 2080, 1011, 13433, 11631, 2075, 2151, 6349, 2008, 17445, 2229, 2591, 2865, 2008, 3084, 2009, 6082, 2005, 2111, 2000, 2131, 2920, 1999, 1996, 2576, 2832, 1010, 1998, 2057, 1521, 2128, 2025, 24234, 2075, 2023, 2013, 1037, 14254, 2391, 1997, 3193, 1012, 2057, 1521, 2128, 24234, 2075, 2009, 2013, 1037, 2391, 1997, 3193, 2008, 14977, 2055, 16987, 1012, 26519, 1521, 1055, 20228, 6977, 2128, 5937, 2015, 1997, 20762, 5605, 17330, 2004, 12170, 26053, 9650, 1006, 7880, 2006, 1996, 2364, 3931, 1997, 1996, 2609, 2024, 1996, 2616, 1523, 7672, 1524, 2030, 1523, 3951, 1524, 2109, 1007, 1012, 1998, 2096, 1996, 2522, 13102, 5644, 2953, 2622, 2089, 2022, 2062, 2112, 28775, 4502, 7062, 1010, 2009, 1521, 1055, 5121, 2025, 1996, 1523, 2330, 1010, 5710, 1524, 4132, 2002, 10659, 1999, 2010, 4955, 1012, 2008, 2035, 9909, 2039, 2000, 1037, 2844, 16218, 1012, 2004, 1996, 10439, 4832, 1010, 2174, 1010, 2009, 1521, 1055, 2019, 2590, 2034, 3357, 2046, 1996, 2300, 2005, 8346, 1997, 9130, 1521, 1055, 2591, 10629, 2046, 6094, 1012, 2008, 2056, 1010, 2045, 2024, 2070, 21407, 1010, 2013, 2019, 10599, 3408, 1997, 2326, 2000, 2566, 27876, 2951, 8192, 2000, 1037, 3243, 3132, 4989, 1997, 8236, 2008, 4480, 2064, 3582, 2030, 2490, 1012, 1999, 2804, 1010, 2004, 1037, 7615, 2121, 2006, 16137, 25459, 2571, 3964, 1010, 1523, 4983, 2045, 1521, 1055, 1037, 2126, 2000, 2265, 2129, 2116, 2111, 2024, 1008, 2114, 1008, 3818, 8236, 1010, 2023, 2097, 2025, 3073, 1037, 3154, 3861, 2004, 2000, 1996, 2490, 2027, 2941, 2031, 1012, 2017, 2453, 2031, 1037, 3278, 2193, 1997, 6926, 2522, 13102, 5644, 5668, 1006, 2360, 2423, 2243, 1007, 1010, 2021, 2008, 2193, 12386, 2049, 7784, 2065, 1996, 2193, 1997, 2111, 2114, 2003, 1010, 2360, 8732, 2243, 1012, 2017, 2342, 2119, 5761, 1999, 2344, 2000, 2131, 2019, 2801, 2004, 2000, 3251, 2030, 2025, 1037, 3818, 3021, 2003, 5621, 3569, 1012, 1524, 1045, 1521, 2310, 2356, 5622, 2527, 1037, 2193, 1997, 3582, 6279, 3980, 1998, 2097, 5371, 2242, 2005, 7217, 2065, 2002, 16412, 1012, 1999, 1996, 12507, 1010, 2054, 2079, 2017, 2228, 1997, 1996, 10439, 1998, 1996, 6349, 1029, 3531, 2292, 2149, 2113, 1999, 1996, 7928, 1010, 4363, 1996, 2206, 7339, 2013, 5671, 1999, 2568, 1024, 2004, 2007, 2151, 22752, 1010, 1996, 2034, 27758, 2003, 2196, 3819, 1012, 9027, 15107, 1010, 1996, 3910, 1997, 5799, 2378, 1010, 18172, 2056, 1010, 1523, 2065, 2017, 2024, 2025, 10339, 2011, 2115, 2034, 2713, 1010, 2017, 1521, 2310, 3390, 2205, 2397, 1012, 1524, 1999, 2008, 3168, 1010, 2672, 1996, 3484, 3003, 2003, 4083, 2013, 1996, 22752, 2088, 1012, 1999, 2019, 10373, 3433, 2000, 2026, 3980, 1010, 4717, 5622, 2527, 1010, 2472, 1997, 2047, 2865, 2005, 3484, 3003, 26519, 1010, 2790, 2000, 5769, 2008, 2045, 2020, 27758, 2015, 2000, 2272, 1024, 1523, 2004, 2001, 1996, 2553, 2043, 1045, 7271, 8047, 2057, 1996, 2111, 1010, 2023, 2003, 2019, 12761, 3357, 1516, 2045, 2097, 2022, 27222, 5082, 1010, 2004, 2007, 2035, 2122, 2477, 1010, 2875, 1996, 9059, 2203, 1997, 1037, 27140, 3519, 1012, 1524, 10651, 1024, 1523, 2057, 1521, 2310, 2467, 7356, 2119, 7063, 1998, 6926, 2522, 13102, 5644, 5668, 2004, 3617, 7885, 2008, 2057, 2024, 2119, 4914, 2135, 7568, 2055, 1998, 2008, 1045, 7714, 2903, 2031, 2307, 4022, 2000, 4982, 1010, 1524, 5838, 4717, 5622, 2527, 1010, 2472, 1997, 3617, 2005, 1996, 2160, 3484, 3003, 1521, 1055, 2436, 1010, 3081, 10373, 1012, 1523, 2122, 2024, 1996, 2828, 1997, 3934, 2008, 2097, 2715, 4697, 2256, 2406, 1521, 1055, 4884, 4896, 2005, 1996, 2591, 2865, 2287, 1010, 1524, 2002, 2626, 1012, 1523, 2057, 2024, 2667, 2428, 2047, 2477, 2066, 7063, 1998, 4480, 1012, 2057, 2024, 5147, 4439, 12148, 8818, 2006, 1037, 8332, 3978, 1012, 2057, 2024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 9786, 2024, 2411, 9416, 2011, 2591, 5750, 6224, 2000, 5290, 2037, 15592, 1012, 2228, 1997, 1996, 4483, 6215, 2013, 3435, 1011, 2833, 14793, 1010, 1996, 4785, 2689, 5533, 2011, 6351, 11768, 1010, 1998, 1996, 6870, 8269, 5561, 2011, 2455, 2458, 2030, 5471, 1012, 2411, 1037, 2309, 3813, 2097, 9958, 3086, 2013, 3674, 2591, 2929, 4411, 2008, 2035, 2215, 2000, 2689, 1996, 2168, 2518, 2009, 2003, 2725, 1517, 2107, 2004, 2250, 10796, 1517, 1998, 2049, 3247, 1011, 11153, 2089, 3046, 2000, 8526, 1999, 10287, 2007, 2068, 2000, 2424, 4621, 7300, 1012, 2097, 2107, 8147, 2022, 2825, 1010, 1998, 2065, 2061, 1010, 2029, 2591, 2929, 4411, 2097, 20880, 2007, 1996, 3813, 1029, 2004, 5736, 1051, 2094, 14272, 2213, 24144, 8337, 16691, 1999, 2470, 2405, 2011, 3831, 2671, 12174, 1010, 1996, 3437, 3658, 1999, 6125, 1012, 2065, 2017, 3191, 2023, 3041, 9927, 2695, 1998, 1996, 2028, 2077, 1010, 2017, 2031, 2468, 2109, 2000, 6125, 2108, 1996, 3437, 2000, 2116, 3980, 1010, 2021, 2023, 2051, 2017, 2089, 4687, 2054, 2785, 1997, 6125, 2024, 1999, 2895, 1012, 1996, 3437, 2003, 11341, 2021, 29202, 2320, 2017, 5136, 2009, 1024, 2138, 2169, 2591, 2929, 3029, 2003, 17999, 2011, 2049, 5779, 1521, 1055, 13347, 2000, 2049, 3426, 1010, 1998, 2070, 2024, 2062, 7490, 2084, 2500, 1010, 2054, 5609, 2003, 1996, 2897, 1997, 7264, 2090, 1996, 2200, 7490, 2591, 2929, 4411, 1998, 1996, 8777, 3924, 1012, 2129, 2515, 2023, 2147, 1029, 2034, 1010, 9786, 9544, 2000, 20880, 2007, 8777, 2015, 1010, 1998, 8777, 2591, 2929, 4411, 2024, 2172, 2062, 3497, 2084, 23618, 2000, 20880, 2007, 9786, 1012, 2117, 1010, 2591, 2929, 4411, 20880, 2007, 2169, 2060, 2077, 2027, 20880, 2007, 9786, 1010, 2021, 8777, 2015, 1998, 23618, 20880, 2069, 1999, 2070, 2591, 5750, 1010, 2025, 2035, 1012, 1996, 3896, 1997, 2023, 5792, 1006, 2030, 3768, 1997, 2009, 1007, 2089, 4025, 4675, 18447, 14663, 3512, 1024, 8777, 2015, 2040, 20880, 2007, 23618, 1999, 1996, 2591, 2929, 2024, 2062, 3497, 2000, 2147, 2007, 9786, 1010, 2096, 8777, 2015, 4082, 1999, 1037, 2591, 2929, 2073, 5792, 2007, 7490, 2967, 2515, 2025, 4148, 2024, 2172, 2625, 3497, 2000, 2147, 2007, 9786, 1012, 1999, 1996, 3732, 3663, 1010, 8777, 2015, 2089, 3571, 2008, 20295, 2007, 9786, 2097, 6033, 2037, 6550, 1998, 4378, 2490, 2306, 1996, 2591, 2929, 1012, 8777, 2015, 4198, 2000, 23618, 2024, 2947, 2583, 2000, 6848, 1010, 2096, 8777, 2015, 2040, 3768, 2008, 4434, 2442, 11245, 1999, 2344, 2000, 5441, 2037, 21553, 1999, 1996, 2929, 1012, 2054, 2055, 1996, 3813, 1521, 1055, 19732, 2000, 2031, 10287, 2007, 2591, 2929, 4411, 1029, 2008, 2112, 1997, 1996, 2466, 2003, 2172, 16325, 1012, 2000, 2707, 1010, 9786, 3227, 9544, 2000, 2689, 2498, 1010, 2926, 2247, 1996, 9646, 1997, 4483, 1998, 2591, 5368, 2008, 5750, 4050, 4539, 1012, 2008, 2003, 3599, 2339, 2591, 5750, 4539, 9786, 1012, 2320, 2027, 2031, 2042, 9416, 2011, 1037, 2591, 2929, 1010, 9786, 2079, 1999, 2755, 6148, 17437, 1012, 1998, 2027, 2024, 4699, 1999, 8699, 6026, 1996, 2972, 2591, 2929, 1010, 2025, 2074, 1996, 2591, 2929, 3029, 2027, 2707, 20295, 2007, 1010, 2061, 2005, 9786, 1010, 2009, 2089, 2022, 2488, 2000, 2031, 10287, 2007, 8777, 2591, 2929, 4411, 2008, 2024, 4198, 2000, 23618, 1012, 2023, 19717, 2003, 3891, 3771, 2005, 1996, 2591, 2929, 3029, 2084, 2005, 1996, 3813, 1010, 2138, 7490, 2591, 2929, 4411, 2089, 2022, 4187, 1997, 1996, 5792, 1012, 2023, 2470, 7545, 2039, 2019, 5875, 21883, 5307, 2591, 2929, 4411, 1012, 2000, 13883, 2037, 3125, 1997, 5278, 3813, 15592, 1010, 2027, 2323, 8526, 1999, 10287, 2007, 1996, 9786, 1998, 20880, 2000, 2424, 1996, 2190, 2126, 2830, 1012, 2021, 2116, 2591, 2929, 4411, 2024, 2328, 2006, 1996, 4963, 1997, 2037, 2372, 1010, 2061, 3331, 2000, 1523, 1996, 4099, 1524, 2064, 23021, 1996, 2929, 1012, 2027, 2342, 2000, 2031, 1996, 3997, 2000, 23021, 3209, 2005, 1996, 8739, 1997, 21570, 2037, 3289, 1012, 1051, 2094, 14272, 2213, 24144, 8337, 1010, 5736, 1012, 25682, 1012, 10424, 8625, 28397, 1024, 27363, 9501, 1521, 17859, 4559, 2000, 3813, 1516, 7423, 17437, 1012, 3831, 2671, 12174, 1010, 16875, 1012, 2031, 2017, 8567, 4411, 2007, 3691, 5090, 2008, 2123, 1521, 1056, 3243, 2674, 1996, 2731, 1998, 3570, 1997, 1996, 2111, 3173, 2169, 2597, 1029, 2027, 2024, 2062, 6976, 2084, 2017, 2453, 2228, 1012, 6145, 1998, 6529, 2725, 2470, 1998, 2458, 2411, 2147, 1999, 2780, 1998, 7640, 3753, 2011, 10489, 2040, 2113, 2172, 2625, 2084, 2027, 2079, 1012, 15610, 2015, 1999, 7884, 2215, 2037, 4449, 2000, 7180, 2006, 2051, 2021, 2024, 2012, 1996, 8673, 1997, 1996, 26929, 1012, 1998, 14780, 2005, 2023, 9927, 2695, 1010, 2610, 3738, 2031, 2086, 1997, 2731, 1998, 3325, 2021, 2024, 2333, 2105, 2011, 18365, 2545, 2040, 4374, 2035, 1996, 4455, 2005, 2393, 1006, 19989, 4455, 1010, 2065, 2027, 2024, 1999, 1996, 3915, 1007, 2021, 2031, 2172, 2625, 2731, 1998, 3570, 1012, 2061, 1010, 2024, 2045, 2151, 3471, 2043, 1996, 3691, 1998, 3570, 2079, 2025, 2674, 1029, 2023, 2001, 1996, 3160, 12098, 6371, 2094, 10556, 26605, 16566, 2078, 10641, 1999, 1037, 3259, 3728, 2405, 1999, 3831, 2671, 12174, 1012, 2004, 2017, 2453, 5987, 1010, 1996, 2364, 3291, 2003, 2008, 1996, 3020, 1011, 3570, 3667, 2040, 2031, 2896, 5464, 1999, 1996, 3029, 1006, 2012, 2560, 2005, 1037, 3563, 3853, 1007, 2411, 2514, 2489, 2000, 8568, 8128, 2030, 2130, 4449, 2013, 2896, 1011, 3570, 22983, 1012, 2008, 4165, 4326, 2043, 1996, 3667, 2024, 2610, 3738, 2040, 2024, 1999, 6375, 1010, 2342, 2500, 2000, 14037, 2007, 2037, 2219, 4449, 1010, 1998, 2024, 4011, 2000, 2022, 3811, 28675, 1012, 2339, 2079, 2027, 8568, 7899, 1029, 2034, 1997, 2035, 1010, 2027, 2228, 1996, 18365, 2545, 2079, 2025, 3305, 2037, 2147, 2092, 2438, 1010, 2061, 2027, 24501, 4765, 2108, 2409, 2129, 1998, 2043, 2000, 2147, 1012, 2036, 1010, 1996, 18365, 2545, 2411, 2562, 1996, 3738, 3902, 3771, 2084, 2027, 2052, 2066, 2000, 2022, 1010, 2061, 3738, 2089, 2022, 4699, 1999, 2635, 1037, 3338, 2030, 2025, 14120, 2000, 18365, 4455, 2008, 4165, 4895, 5714, 6442, 4630, 1012, 5262, 1010, 2025, 14120, 2000, 18365, 4455, 2058, 1996, 2557, 2003, 1037, 2691, 2126, 2005, 3738, 2000, 4468, 14037, 2075, 2007, 4449, 1012, 2129, 2064, 2019, 3029, 5047, 2023, 2828, 1997, 3663, 1010, 2073, 1996, 2659, 1011, 3570, 22983, 2507, 8128, 2008, 2823, 2131, 6439, 2011, 2152, 1011, 3570, 3667, 1029, 1996, 2470, 2006, 2610, 3738, 2435, 2070, 6179, 8220, 1012, 2034, 1010, 4411, 2411, 2031, 9009, 8853, 2008, 3499, 6234, 22565, 2000, 6523, 3471, 14873, 2000, 3020, 1011, 2504, 10489, 1012, 1996, 18365, 2545, 2106, 2008, 2823, 1010, 1998, 1996, 3463, 2020, 1529, 2025, 2172, 2689, 1012, 2061, 2012, 2560, 2005, 2610, 3738, 1010, 2023, 7511, 3921, 3849, 2000, 2022, 20694, 1999, 1996, 2146, 2448, 1012, 2117, 1010, 2111, 2411, 2224, 2591, 8107, 1010, 2107, 2004, 2667, 2000, 3857, 1037, 3167, 4434, 1998, 2478, 11900, 3778, 1999, 2804, 2000, 1996, 5337, 10954, 1012, 18365, 2545, 2071, 2079, 2008, 1010, 1998, 2009, 2001, 2926, 3733, 2138, 2027, 2071, 5454, 2000, 10639, 2062, 2030, 2625, 6246, 1024, 2000, 2224, 1996, 5337, 4207, 2557, 3149, 2030, 1037, 3622, 2797, 3149, 1012, 1996, 3463, 1997, 1996, 11900, 3921, 2020, 1529, 2025, 2172, 2689, 1012, 2008, 2134, 1521, 1056, 2147, 1999, 1996, 2146, 2448, 2593, 1012, 2061, 1010, 2054, 2106, 2147, 1029, 2028, 3722, 7577, 2008, 18365, 2545, 2109, 2001, 2000, 2831, 2000, 1996, 2512, 1011, 14120, 2961, 21858, 1010, 2411, 2007, 2070, 8562, 1010, 1998, 2000, 2079, 2009, 2058, 1996, 5337, 4207, 3149, 1012, 2043, 2008, 2001, 2589, 1010, 2411, 2060, 3738, 2052, 3693, 1999, 1010, 1998, 1996, 2512, 1011, 14120, 2961, 2052, 2203, 2039, 14120, 1998, 14037, 2075, 2007, 4449, 2119, 2012, 2008, 2617, 1998, 2183, 2830, 1012, 2061, 2008, 2499, 1012, 1996, 2087, 5875, 2112, 1997, 2023, 2470, 2003, 2339, 2009, 2499, 1012, 11900, 2831, 2058, 1037, 4207, 3149, 2071, 2022, 2657, 2011, 2060, 3738, 2007, 1996, 2168, 3570, 1998, 4635, 2004, 1996, 2512, 1011, 14120, 2028, 1012, 2027, 2052, 3693, 1999, 1996, 11834, 2000, 18381, 1996, 2961, 2021, 2036, 24655, 2135, 2000, 3778, 1996, 2961, 2000, 6869, 1012, 11190, 2953, 11451, 2411, 2079, 2061, 1010, 2138, 3773, 2619, 2842, 8568, 8128, 2411, 2965, 2008, 2027, 2024, 19840, 2075, 2125, 1010, 2029, 2064, 2812, 2062, 2147, 2005, 2500, 2030, 4821, 2008, 1996, 2512, 1011, 14120, 2136, 2266, 2003, 2025, 10539, 1012, 2111, 2024, 2788, 7591, 2000, 2107, 3471, 1010, 1998, 2168, 1011, 3570, 11190, 2953, 11451, 2066, 1996, 3507, 3738, 2064, 2404, 3778, 2006, 2062, 6464, 2084, 2896, 1011, 3570, 3667, 2107, 2004, 1996, 18365, 2545, 1012, 2004, 2467, 1010, 8152, 3778, 5222, 1996, 2154, 1012, 10556, 26605, 16566, 2078, 1037, 1012, 25682, 1012, 3570, 1516, 3691, 2004, 24335, 24327, 2090, 22797, 1024, 1996, 2553, 1997, 19989, 18365, 2545, 1998, 2610, 3738, 1012, 3831, 2671, 12174, 16875, 1012, 2031, 2017, 8567, 1996, 3026, 2266, 1997, 1996, 3029, 2040, 2467, 4136, 3441, 1029, 1996, 2028, 2040, 2003, 3322, 17160, 2021, 2040, 2017, 6360, 4553, 2000, 4468, 2936, 11450, 2007, 2138, 1996, 2168, 3441, 2024, 5567, 2058, 1998, 2058, 1998, 2031, 2498, 2000, 2079, 2007, 2115, 2147, 1029, 2054, 1037, 8501, 1012, 2021, 20957, 2064, 2941, 2022, 2200, 2590, 1999, 13296, 4083, 1010, 2926, 2065, 2009, 7336, 4678, 1998, 2590, 2824, 1012, 2023, 2003, 2054, 5696, 1043, 1012, 13854, 8920, 1999, 1037, 3259, 2405, 1999, 3831, 2671, 12174, 1012, 1996, 2470, 2246, 2012, 3462, 11500, 1999, 12400, 1010, 1996, 2785, 1997, 2111, 2040, 2031, 6918, 2147, 2008, 2694, 2186, 2293, 2000, 17279, 1010, 1998, 2006, 2694, 2027, 4050, 2079, 14779, 4933, 2008, 4455, 2005, 1037, 2843, 1997, 3716, 2055, 2129, 1996, 5776, 2003, 5360, 1012, 2129, 2172, 1997, 2008, 2003, 4507, 1029, 1996, 4083, 3291, 2003, 5793, 1012, 7739, 5776, 15373, 2015, 2024, 2589, 2004, 6524, 2004, 2825, 2138, 2027, 2024, 2200, 6450, 1010, 1998, 1996, 5776, 3785, 2024, 2467, 13661, 1998, 4187, 2138, 2008, 1521, 1055, 2043, 7739, 15373, 2015, 2191, 3168, 1012, 2061, 1010, 1996, 2342, 2005, 14779, 2147, 2003, 2025, 2019, 4654, 27609, 3370, 1012, 2021, 1996, 14779, 2147, 3791, 2000, 2022, 8321, 2205, 1010, 1998, 2182, 1996, 3291, 2003, 2008, 2045, 2024, 2061, 2116, 3971, 2008, 1037, 5776, 2064, 2468, 13661, 1998, 4187, 2008, 2009, 2003, 2200, 3697, 2005, 1037, 3462, 6821, 2000, 4553, 2006, 1996, 3105, 1012, 2027, 2145, 2342, 2000, 4553, 2055, 1523, 6684, 2412, 1524, 2824, 2138, 2122, 2824, 5258, 1010, 1998, 16542, 3949, 2064, 2022, 2200, 9530, 3366, 15417, 4818, 2005, 1996, 5776, 1012, 2061, 2054, 2079, 2027, 2079, 1029, 2425, 3441, 1012, 2043, 5278, 12363, 1010, 2027, 2097, 11834, 1010, 1998, 1996, 11834, 2003, 5570, 2055, 2054, 2038, 3047, 1999, 1996, 3025, 5670, 1010, 2926, 2065, 2009, 2001, 5866, 1012, 2008, 2126, 2027, 2064, 4553, 2006, 1996, 3105, 2478, 2025, 2069, 2037, 2219, 3325, 2021, 2036, 1996, 3325, 1997, 2500, 1010, 2004, 2409, 2083, 3441, 1012, 2065, 1996, 2466, 2003, 6918, 2438, 1010, 2009, 2097, 2025, 2074, 3659, 2000, 1996, 2279, 5670, 2021, 2097, 2036, 2022, 2128, 3406, 6392, 1037, 2261, 2335, 2000, 2367, 2111, 1010, 2040, 2097, 2035, 4553, 2055, 1996, 1523, 6684, 2412, 1524, 2724, 1998, 2129, 2009, 2001, 13332, 1012, 2023, 2003, 1996, 2168, 2591, 7337, 2004, 1996, 11771, 3026, 7309, 2040, 2017, 2089, 2031, 8567, 1010, 2021, 2009, 2003, 1037, 2307, 2126, 2000, 4553, 3435, 1999, 2147, 2008, 2038, 2172, 8386, 1012, 2272, 2000, 2228, 1997, 2009, 1010, 2130, 2008, 3026, 7309, 2071, 2022, 1037, 3120, 1997, 4083, 2138, 1996, 3441, 2087, 2411, 2409, 2024, 2788, 2055, 2242, 2013, 1996, 2627, 2008, 2515, 2025, 4148, 2411, 2122, 2420, 1012, 2024, 2122, 3441, 7882, 1029, 2823, 2027, 2735, 2041, 2000, 2022, 1012, 2009, 2003, 3053, 2048, 2086, 3283, 2008, 7608, 8567, 1037, 4629, 4530, 1999, 1996, 4628, 4026, 2138, 1997, 2522, 17258, 1012, 2106, 2151, 1997, 2068, 5770, 2013, 3441, 2055, 1996, 4530, 1999, 4628, 4026, 2206, 1996, 1023, 1013, 2340, 2886, 1029, 4298, 2061, 1012, 3441, 2411, 9125, 3701, 2591, 6026, 1998, 19882, 1010, 1998, 2027, 2024, 3971, 2008, 2111, 2433, 7208, 1999, 4411, 2011, 6631, 2037, 6322, 1010, 3251, 6179, 2030, 2025, 1012, 2021, 1999, 2070, 3596, 1997, 2147, 1010, 1998, 2006, 2070, 6642, 1010, 20957, 2003, 2036, 1037, 10232, 4083, 2832, 2008, 7126, 1996, 3029, 3066, 2007, 1523, 6684, 2412, 1524, 2824, 1012, 13854, 1010, 5696, 1043, 1012, 25682, 1012, 20957, 2004, 1037, 6994, 2005, 12340, 6313, 4083, 2426, 2250, 2966, 3665, 10604, 1012, 3831, 2671, 12174, 1010, 16875, 1012, 2023, 9927, 2003, 7422, 2000, 10287, 1997, 2129, 2824, 1999, 1996, 2739, 19141, 13296, 2470, 1998, 2064, 2022, 4541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2275, 2009, 2039, 2017, 2064, 3495, 6848, 2009, 2007, 2028, 1997, 2256, 4505, 2011, 3967, 2075, 2256, 2136, 1012, 2057, 2036, 3749, 1037, 3563, 15002, 2000, 2022, 2109, 2058, 3231, 7159, 6125, 1012, 2007, 2037, 2393, 1010, 2057, 2031, 14613, 1998, 5301, 2256, 2458, 1998, 25169, 6194, 1012, 2037, 2490, 2001, 6581, 1998, 2428, 14044, 2000, 2256, 3930, 1012, 2057, 6611, 21999, 2000, 2717, 1010, 21999, 2000, 3638, 1010, 1998, 21999, 1999, 6671, 2006, 2035, 7591, 2951, 1012, 19888, 2080, 17928, 2015, 6753, 2327, 3796, 24925, 2078, 16744, 1998, 19888, 2080, 15800, 1012, 2057, 7887, 8080, 1996, 3006, 2005, 2047, 8361, 3924, 2029, 2057, 2059, 17409, 1010, 2061, 2008, 2017, 2064, 2467, 2994, 3805, 1997, 1996, 2971, 1012, 2061, 1010, 2005, 2742, 1010, 2065, 2057, 2031, 2035, 2122, 14279, 1010, 2057, 2064, 3443, 1996, 13541, 2005, 1996, 28855, 14820, 2000, 18411, 2278, 3940, 1006, 3802, 2232, 1013, 18411, 2278, 1007, 2006, 9226, 15058, 4013, 1012, 2013, 2045, 1010, 2057, 2064, 3443, 9572, 2094, 14006, 2005, 28855, 14820, 1013, 18411, 2278, 2408, 2035, 15800, 1010, 1998, 2059, 2057, 2052, 9572, 2216, 1998, 7180, 2012, 1037, 3976, 1012, 2061, 2045, 1521, 1055, 1037, 2843, 2008, 3632, 2046, 2023, 1998, 1037, 2843, 1997, 2256, 10159, 2074, 2024, 13749, 4355, 2075, 16356, 2545, 2030, 14006, 1998, 2057, 3671, 3550, 1996, 2126, 2008, 2057, 24134, 14006, 2241, 2006, 1996, 6315, 3119, 1012, 2061, 1045, 2228, 3383, 1996, 2126, 2000, 2707, 2023, 2041, 2003, 2011, 3331, 2055, 2951, 1998, 2951, 3737, 1012, 2061, 1010, 2256, 2326, 1998, 2087, 1997, 2054, 2057, 2079, 2003, 2241, 2105, 6315, 3119, 2951, 1010, 2157, 1012, 2061, 1010, 2005, 1996, 3484, 1997, 1996, 15800, 2008, 2057, 2031, 2951, 2013, 2057, 2031, 6719, 2296, 3119, 2006, 2296, 6202, 3940, 2006, 2008, 3863, 1012, 2061, 1010, 2057, 2031, 7687, 1996, 2972, 6202, 2381, 1997, 2008, 3863, 1998, 2013, 2216, 14279, 2057, 9570, 14006, 1998, 2013, 2216, 14006, 2057, 9570, 16356, 2545, 1012, 6315, 1004, 10562, 2951, 2017, 2323, 4965, 1040, 22798, 2069, 2065, 2017, 2024, 4810, 2000, 5138, 1996, 3891, 1997, 3974, 2035, 1997, 1996, 2769, 2017, 2404, 2046, 2107, 19204, 2015, 1012, 2017, 2323, 2025, 9099, 18908, 1999, 1996, 1040, 13876, 2065, 2017, 2024, 2025, 5220, 2007, 2023, 1040, 13876, 1012, 9099, 18908, 2075, 1999, 1040, 22798, 2089, 2025, 2022, 7218, 2005, 2017, 2065, 2017, 2024, 2025, 5220, 2007, 1996, 2974, 2008, 1040, 13876, 2578, 2024, 3024, 1012, 2057, 3749, 18435, 1010, 16360, 3126, 26300, 1010, 12135, 1998, 1037, 3528, 1997, 2022, 13102, 11045, 3688, 2008, 5425, 6541, 2083, 14336, 3688, 1012, 2115, 3229, 2000, 2023, 2609, 2001, 8534, 2011, 2773, 18940, 3401, 1010, 1037, 3036, 10802, 1010, 2040, 18227, 4573, 2013, 24391, 4023, 1012, 3522, 6494, 6155, 1516, 5651, 1037, 2862, 1997, 3522, 14279, 2005, 1037, 3563, 6454, 1012, 20138, 4270, 2578, 2024, 3024, 2011, 2632, 19498, 2050, 12012, 11775, 1006, 1523, 2632, 19498, 2050, 1524, 1007, 1010, 2266, 10346, 2527, 1013, 10668, 2278, 1010, 1037, 12590, 1011, 3079, 7506, 1997, 2632, 19498, 4215, 2497, 1010, 4297, 1012, 2000, 3073, 2062, 14310, 2000, 2256, 5198, 1010, 2057, 2031, 4233, 7929, 2497, 2004, 2256, 9710, 19204, 1012, 2057, 2036, 3073, 2039, 2000, 2184, 2595, 21155, 2005, 7785, 6202, 1010, 2061, 2008, 2017, 2064, 25845, 2115, 4022, 5651, 1012, 2073, 2322, 2454, 5198, 2408, 3263, 3032, 1998, 4655, 3119, 2058, 1002, 2531, 4551, 1997, 19888, 2891, 2296, 2095, 1012, 3229, 2075, 1996, 8051, 15882, 2951, 1997, 2256, 6304, 1010, 2029, 5791, 3935, 2256, 3688, 1521, 2458, 1010, 2001, 1037, 2307, 2393, 2013, 19888, 2080, 17928, 2015, 1012, 19888, 2080, 17928, 2015, 3640, 2204, 2578, 2008, 2393, 2149, 23306, 1996, 2458, 1997, 2047, 2838, 1012, 1045, 2228, 2009, 1521, 1055, 2763, 4276, 10537, 1037, 2210, 2978, 2256, 16987, 8599, 1012, 2027, 2106, 2025, 2298, 2012, 15800, 2008, 2106, 2025, 2031, 2978, 3597, 2378, 2000, 13751, 1999, 2978, 3597, 2378, 2000, 2060, 6089, 1998, 2057, 2020, 2559, 2012, 2023, 2951, 1998, 2057, 2179, 2242, 5875, 1529, 2057, 2179, 2008, 1997, 1996, 2184, 15800, 2008, 2020, 8357, 2000, 2022, 9480, 2011, 2978, 14244, 1010, 2008, 1022, 2041, 1997, 2122, 2184, 15800, 3024, 3439, 6578, 3238, 6315, 3119, 2951, 1012, 1045, 2228, 1996, 3114, 2023, 2052, 2022, 1996, 2553, 2003, 2008, 2074, 2066, 1996, 25760, 2065, 2017, 3073, 1037, 2843, 1997, 2951, 1998, 2017, 1521, 2128, 2725, 2242, 3308, 2017, 1521, 2128, 3497, 2000, 2022, 3236, 1012, 2061, 2057, 2031, 2179, 2008, 4346, 3439, 6578, 3238, 6315, 3119, 2951, 2003, 23900, 2007, 2108, 1037, 2204, 3863, 1012, 1998, 2059, 1997, 1996, 15800, 2008, 2978, 14244, 4453, 2004, 2108, 8343, 1010, 2008, 2027, 12045, 2170, 2041, 2004, 2108, 8343, 1010, 2035, 2021, 2048, 1997, 2216, 2106, 2025, 3073, 3439, 6578, 3238, 6315, 3119, 2951, 1012, 2129, 2000, 3863, 19888, 10085, 3126, 7389, 5666, 2855, 1998, 28999, 1029, 4607, 1996, 4769, 1997, 1996, 19888, 2080, 15882, 2008, 2115, 2047, 19888, 10085, 3126, 7389, 5666, 2097, 2022, 2741, 2000, 1012, 1999, 2344, 2000, 3229, 1996, 17928, 1010, 2017, 2097, 2342, 2019, 3863, 4070, 1012, 1996, 5009, 22106, 3863, 15380, 1010, 3006, 4751, 1010, 1998, 17928, 4294, 1012, 3863, 1521, 1055, 9722, 9986, 2015, 2024, 2085, 2112, 1997, 9226, 15058, 6112, 1010, 1996, 2309, 9445, 2013, 2029, 2000, 3229, 9226, 15058, 1521, 1055, 2440, 7621, 1997, 17928, 2015, 1998, 3796, 24925, 2078, 6502, 3688, 1012, 1996, 2088, 1521, 1055, 19888, 10085, 3126, 7389, 5666, 2951, 3691, 2038, 1037, 2658, 17928, 2081, 2005, 2017, 1012, 2057, 2079, 2025, 3749, 3979, 2030, 9703, 2005, 19888, 2080, 17928, 2015, 1016, 1012, 1014, 3688, 1012, 2057, 2079, 2174, 3749, 1037, 2489, 15002, 2612, 1010, 2029, 2064, 2022, 2109, 2058, 5604, 6125, 1012, 2044, 2667, 3674, 2367, 7248, 1010, 2057, 2020, 7622, 2011, 19888, 2080, 17928, 1521, 1055, 3737, 2490, 1998, 15873, 2039, 7292, 1012, 19888, 2080, 17928, 2003, 2085, 2256, 2193, 2028, 3601, 2005, 3796, 24925, 2078, 11909, 1012, 2023, 19888, 10085, 3126, 7389, 5666, 6202, 28516, 4107, 2489, 14409, 2302, 1037, 15002, 1012, 19888, 11631, 10624, 2003, 1037, 2489, 19888, 2080, 6202, 28516, 6113, 2011, 9932, 2008, 2003, 3722, 1998, 29202, 2005, 19888, 2080, 4088, 16912, 2000, 2275, 2039, 1998, 2448, 1012, 2009, 2064, 2393, 2017, 8285, 8585, 2115, 14279, 2157, 2013, 2115, 3042, 4089, 2005, 2489, 1012, 1060, 8189, 3863, 4107, 1037, 2152, 2504, 1997, 6381, 3012, 1998, 4310, 6202, 5906, 1012, 13558, 3048, 2115, 7045, 2000, 3863, 1010, 2947, 15349, 1996, 3891, 1997, 28719, 1010, 7708, 1010, 2030, 28616, 29098, 18981, 25475, 7045, 1012, 2613, 7292, 1998, 3439, 5703, 2015, 1010, 11817, 2005, 2296, 3617, 11412, 1998, 3796, 24925, 2078, 4070, 1012, 2057, 11302, 2327, 7563, 2578, 1998, 3749, 3688, 3563, 2000, 2119, 2256, 3633, 1998, 12148, 5198, 2083, 2256, 3863, 4132, 1012, 19888, 10085, 3126, 7389, 5666, 2003, 3811, 23250, 1999, 3267, 1010, 7336, 1037, 2152, 3014, 1997, 10831, 1010, 2107, 2004, 20606, 3006, 3976, 18755, 1010, 3006, 16924, 1010, 5956, 19119, 1010, 1998, 16941, 3366, 10841, 15780, 10831, 1012, 13523, 20470, 8026, 6651, 17928, 1999, 2553, 2065, 2017, 2024, 2047, 1999, 6202, 1010, 2017, 2064, 2175, 2083, 2107, 1037, 3120, 2061, 2000, 2131, 1037, 2488, 2801, 1997, 1996, 6994, 1012, 2023, 2097, 2036, 2393, 2017, 2000, 3828, 2115, 7070, 2051, 2096, 2941, 6202, 9598, 1012, 2023, 8026, 6651, 6202, 28516, 12939, 2017, 2000, 9699, 5618, 2011, 23448, 2115, 6202, 9942, 1012, 2009, 4473, 2017, 2000, 4965, 2030, 5271, 1037, 2312, 3872, 1997, 19888, 2080, 2302, 2151, 2038, 25016, 1012, 2087, 2759, 28516, 2015, 2024, 12192, 2800, 2000, 2275, 2039, 1999, 2074, 2028, 11562, 2007, 2037, 5456, 3444, 1012, 2115, 5029, 2024, 2921, 2006, 1996, 3863, 5703, 2005, 3036, 3800, 1012, 6047, 3119, 5536, 4473, 13066, 2000, 2275, 2039, 2644, 1011, 3279, 1010, 2202, 5618, 1010, 12542, 1999, 2028, 3119, 1012, 3962, 1011, 17795, 12098, 16313, 24449, 28516, 7126, 7027, 9387, 2000, 2191, 13135, 3318, 2007, 2659, 3891, 1012, 8370, 6202, 28516, 4473, 5198, 2000, 4965, 2659, 1998, 5271, 2152, 1999, 1037, 3563, 3976, 2846, 1012, 2045, 2024, 10831, 4310, 2000, 12978, 6202, 13792, 2008, 2017, 2323, 2113, 2055, 1998, 2933, 2005, 1012, 2017, 2323, 16437, 1037, 4118, 2030, 2291, 1997, 7142, 8822, 2030, 9499, 2075, 2000, 2292, 2017, 2113, 2065, 2045, 2003, 1037, 6228, 4945, 1010, 2107, 2004, 20831, 3314, 1010, 2373, 3279, 1010, 1037, 3274, 5823, 1010, 2030, 2291, 21864, 8024, 1012, 2017, 2323, 2036, 8080, 2005, 12107, 2073, 2115, 12978, 6202, 2291, 6322, 2019, 9626, 11983, 2008, 2071, 2765, 1999, 9413, 17884, 1010, 4394, 1010, 2030, 24473, 2094, 4449, 1012, 1037, 2062, 3143, 6412, 1997, 2122, 1998, 2060, 10831, 2064, 2022, 2179, 1999, 2256, 6904, 4160, 2930, 1012, 12012, 20138, 4270, 2578, 2024, 3024, 2011, 2632, 19498, 2050, 12012, 11775, 1006, 1523, 2632, 19498, 2050, 12012, 1524, 1007, 1010, 2266, 10346, 2527, 1013, 10668, 2278, 1010, 1037, 12590, 1011, 3079, 7506, 1997, 2632, 19498, 4215, 2497, 1010, 4297, 1012, 3942, 2256, 6904, 4160, 2930, 2005, 2062, 2592, 2055, 19888, 2080, 6202, 2083, 2256, 17928, 1012, 4638, 2041, 2122, 4219, 2000, 4553, 2062, 2055, 19888, 2080, 6202, 2006, 2632, 19498, 2050, 1012, 2045, 2024, 1037, 2261, 2367, 2477, 1037, 19888, 2080, 9598, 17928, 2064, 2079, 1998, 8130, 1996, 2157, 2028, 2003, 4187, 2000, 2893, 1996, 2190, 2838, 1998, 6666, 2005, 2115, 2622, 1012, 2009, 1521, 1055, 2025, 1996, 2087, 3928, 17928, 2005, 19888, 2080, 6202, 1006, 2029, 2003, 2339, 2009, 1521, 1055, 2025, 3205, 1999, 1996, 6202, 4696, 1007, 1010, 2021, 2043, 2017, 2342, 2000, 6723, 2070, 4248, 2951, 2000, 2298, 2012, 1010, 2009, 1521, 1055, 2200, 14044, 1012, 2065, 2017, 2342, 2009, 1010, 3796, 24925, 2078, 2036, 4107, 1037, 15882, 2326, 17928, 2008, 11082, 2017, 2565, 12644, 3973, 11835, 2007, 2115, 15882, 1012, 2027, 1521, 2310, 2042, 1999, 1996, 2449, 2144, 2286, 1010, 1998, 2058, 6273, 2213, 2111, 2224, 2037, 15882, 2326, 2296, 2154, 1012, 2182, 1010, 2017, 1521, 2222, 2424, 1037, 7721, 2862, 1997, 19888, 10085, 3126, 7389, 5666, 17928, 2015, 1516, 2169, 2028, 2328, 2005, 21934, 28250, 2075, 2115, 19888, 2080, 8518, 1010, 7494, 2017, 2051, 1998, 2087, 14780, 2769, 1012, 4677, 17928, 3084, 2009, 3733, 2000, 3857, 2978, 3597, 2378, 5097, 2008, 2024, 3435, 1010, 10539, 1010, 1998, 5851, 1012, 2009, 2987, 1521, 1056, 2342, 16437, 1010, 2053, 4923, 4003, 3223, 1012, 2855, 12850, 15882, 5703, 2015, 1010, 4604, 11817, 1004, 2062, 1012, 2256, 28774, 21275, 4570, 1997, 6315, 1998, 17463, 3217, 9623, 6924, 3006, 2951, 2024, 2800, 2005, 2470, 1998, 4106, 2013, 10058, 2066, 18750, 1010, 1054, 2030, 13523, 20470, 1012, 2057, 2064, 8116, 2951, 2000, 2017, 2006, 5157, 1010, 7188, 2017, 2342, 2009, 1010, 2007, 2019, 3733, 1011, 2000, 1011, 2224, 17928, 1012, 3006, 6454, 4751, 1998, 11412, 9537, 2024, 3313, 1011, 7039, 2011, 2613, 4286, 2000, 5676, 4555, 3737, 1012, 2027, 8080, 1996, 7597, 1997, 3674, 2367, 19888, 2080, 12731, 14343, 14767, 1010, 2164, 28892, 1999, 20874, 1010, 1998, 8822, 2005, 3452, 3006, 12878, 1012, 2327, 19888, 10085, 3126, 7389, 5666, 7597, 1998, 6093, 1010, 3205, 2011, 3006, 3007, 3989, 1012, 2489, 3229, 2000, 2783, 1998, 3181, 2951, 2005, 2978, 3597, 2378, 1998, 5190, 1997, 12456, 3597, 7076, 1012, 2017, 2064, 2224, 2151, 1997, 2037, 15873, 17928, 2015, 2000, 11598, 4493, 18726, 1998, 2578, 2030, 2017, 2064, 3857, 2019, 3935, 19888, 2080, 3006, 10439, 1997, 2115, 2219, 1012, 2037, 2951, 2003, 4866, 1998, 3733, 2000, 10408, 1010, 2061, 5791, 2507, 2009, 1037, 3046, 1012, 2054, 2003, 17928, 2742, 1029, 2054, 2003, 2019, 2742, 1997, 2019, 17928, 1029, 2043, 2017, 2224, 2019, 4646, 2006, 2115, 4684, 3042, 1010, 1996, 4646, 8539, 2000, 1996, 4274, 1998, 10255, 2951, 2000, 1037, 8241, 1012, 1529, 2008, 1521, 1055, 2073, 1996, 15610, 2030, 17928, 3310, 1999, 1012, 1996, 15610, 2003, 1996, 11981, 1516, 2030, 17928, 1516, 2008, 3138, 2115, 5227, 2030, 2344, 1998, 4136, 1996, 3829, 1516, 1996, 2291, 1516, 2054, 2000, 2079, 1012, 2007, 2951, 9572, 2094, 2013, 5606, 1997, 15800, 1998, 5190, 1997, 7824, 1010, 2017, 2064, 2022, 2469, 2008, 2017, 1521, 2128, 2893, 1996, 2157, 3861, 2296, 2309, 2051, 1012, 2580, 2011, 1996, 2087, 9480, 19888, 10085, 3126, 7389, 5666, 3006, 2951, 10802, 1999, 1996, 3068, 1012, 1037, 2047, 7621, 1997, 3928, 1010, 12379, 1010, 1998, 8321, 19888, 10085, 3126, 7389, 5666, 3006, 2951, 2203, 26521, 1012, 20130, 2100, 1517, 19888, 10085, 3126, 7389, 5666, 11103, 2968, 1996, 25551, 1998, 2087, 9480, 2126, 2000, 6133, 2115, 3617, 7045, 1012, 5198, 2024, 2583, 2000, 9530, 8873, 27390, 2063, 1037, 7661, 19888, 10085, 3126, 7389, 5666, 11103, 1998, 10408, 1037, 13135, 2968 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2184, 1013, 2340, 5111, 2110, 1006, 2324, 1011, 1018, 1010, 1019, 1011, 1017, 2502, 2260, 1007, 5443, 1012, 5947, 2110, 1006, 2410, 1011, 1023, 1010, 1016, 1011, 1019, 2502, 2260, 1007, 3058, 1024, 5095, 1010, 2337, 1020, 1010, 2230, 5955, 7245, 1024, 1015, 1024, 5709, 1052, 1012, 1049, 1012, 14931, 3295, 1024, 19900, 1010, 5947, 1064, 5196, 1024, 15481, 18338, 1006, 2410, 1010, 5354, 2629, 1007, 2547, 1024, 10978, 2475, 1006, 6285, 16596, 3286, 5638, 1010, 2377, 1011, 2011, 1011, 2377, 1025, 3505, 19543, 1010, 12941, 1025, 4938, 4920, 2386, 1010, 3135, 1007, 1064, 3149, 14176, 1024, 3622, 2615, 19348, 1006, 3622, 2615, 10751, 5824, 1007, 1010, 9841, 2897, 14748, 1010, 2012, 1004, 1056, 1057, 1011, 7893, 3438, 2575, 1010, 9574, 3943, 1064, 4274, 1024, 7479, 1012, 10978, 21619, 2692, 1012, 4012, 2557, 1024, 1047, 1011, 2110, 2998, 2897, 1006, 12986, 5953, 1010, 2377, 1011, 2011, 1011, 2377, 1025, 9761, 13351, 1010, 12941, 1007, 1064, 2444, 26319, 1024, 7479, 1012, 29535, 12259, 20205, 2015, 1012, 4012, 1064, 2334, 3703, 1024, 2998, 2557, 11502, 2692, 2572, 1006, 2463, 2319, 1025, 7128, 1007, 1010, 7886, 1012, 1019, 1011, 4718, 1006, 2463, 2243, 2546, 1025, 7128, 1007, 1064, 5871, 2557, 1024, 1050, 1013, 1037, 2132, 7850, 1024, 5111, 2110, 1011, 3581, 3235, 1006, 3516, 2248, 1005, 6109, 1007, 2003, 6079, 1011, 2654, 1006, 1012, 6273, 2629, 1007, 1999, 2010, 2353, 2161, 2012, 1047, 1011, 2110, 1012, 5947, 2110, 1011, 6754, 11338, 29370, 1006, 2642, 5947, 1005, 6070, 1007, 2003, 5401, 1011, 3438, 1006, 1012, 4466, 2581, 1007, 1999, 2010, 2959, 2161, 2012, 2003, 2226, 1998, 24709, 1011, 19446, 1006, 1012, 5354, 2620, 1007, 1999, 2010, 6286, 2161, 3452, 2004, 1037, 2132, 2873, 1012, 2197, 2051, 2041, 1024, 1047, 1011, 2110, 3786, 8506, 1010, 6146, 1011, 5401, 1010, 2006, 1996, 2346, 2006, 9857, 2305, 1010, 2096, 5947, 2110, 2439, 2012, 23950, 1010, 6391, 1011, 6191, 1010, 2006, 9317, 2305, 1012, 2186, 1024, 1047, 1011, 2110, 5260, 14078, 1011, 6146, 1006, 1047, 1011, 2110, 5260, 4466, 1011, 4008, 1999, 19900, 1007, 1064, 2197, 2051, 1024, 1047, 1011, 2110, 2180, 2753, 1011, 4805, 1999, 19900, 2006, 13114, 1012, 2538, 1010, 2268, 1064, 2186, 9874, 1024, 1047, 1011, 2110, 2038, 2180, 2698, 3442, 1999, 1996, 2186, 1064, 3581, 3235, 2003, 1018, 1011, 1014, 5443, 1012, 5947, 2110, 1010, 2096, 6754, 11338, 29370, 2003, 1014, 1011, 1020, 2035, 1011, 2051, 5443, 1012, 1047, 1011, 2110, 1012, 10385, 1024, 1047, 1011, 2110, 2003, 4396, 2053, 1012, 2184, 1999, 9706, 2327, 2423, 1998, 2053, 1012, 2340, 1999, 3915, 2651, 1013, 10978, 7850, 2327, 2423, 1012, 5947, 2110, 2003, 2025, 4396, 1999, 2593, 8554, 1012, 9735, 1024, 1002, 2321, 1006, 3263, 2504, 8413, 1004, 2203, 1007, 1010, 1002, 2423, 1006, 3263, 2504, 3903, 1007, 2011, 4214, 2003, 2226, 5188, 7281, 2436, 2012, 6070, 2620, 1012, 4700, 2620, 1012, 25797, 2629, 2030, 3784, 2012, 26069, 1012, 4012, 1012, 1047, 1011, 2110, 4247, 2346, 7370, 2007, 5947, 2110, 5095, 5111, 2110, 1006, 2324, 1011, 1018, 1010, 1019, 1011, 1017, 2502, 2260, 1007, 4247, 2049, 2346, 7370, 2006, 5095, 5027, 1010, 2004, 1996, 19495, 3604, 2000, 19900, 1010, 5947, 2000, 2227, 5947, 2110, 1006, 2410, 1011, 1023, 1010, 1016, 1011, 1019, 2502, 2260, 1007, 2012, 15481, 18338, 2012, 1015, 1052, 1012, 1049, 1012, 14931, 1012, 2009, 2097, 2022, 1996, 2117, 1997, 2067, 1011, 2000, 1011, 2067, 2346, 2399, 2005, 1047, 1011, 2110, 1998, 1996, 2117, 1997, 2176, 2346, 2399, 1999, 1037, 2416, 1011, 2208, 7683, 1012, 5095, 1005, 1055, 5049, 2097, 2674, 2048, 1997, 1996, 2488, 6829, 2015, 1999, 1996, 2502, 2260, 1010, 2004, 1996, 3748, 11266, 18231, 1997, 6213, 4139, 2368, 1006, 2539, 1012, 1014, 4903, 2290, 1012, 1007, 1998, 11064, 12223, 2063, 1006, 2321, 1012, 1014, 4903, 2290, 1012, 1007, 2097, 2674, 1011, 2039, 2007, 1996, 11609, 3940, 1997, 7010, 11655, 18009, 3619, 1006, 2385, 1012, 1019, 4903, 2290, 1012, 1007, 1998, 13410, 13097, 20528, 2361, 1006, 2403, 1012, 1019, 4903, 2290, 1012, 1007, 1012, 1996, 8530, 2169, 4635, 2426, 1996, 2327, 2321, 10835, 2015, 1999, 1996, 2223, 1999, 2119, 3452, 1998, 3034, 1011, 2069, 2399, 1012, 2009, 2097, 2022, 1996, 19348, 2705, 3116, 2090, 1047, 1011, 2110, 1998, 5947, 2110, 1010, 2164, 1996, 6227, 4859, 1999, 19900, 1012, 1996, 2048, 2780, 2031, 2777, 2012, 2560, 3807, 6604, 2144, 4271, 1012, 1996, 19495, 2219, 1037, 14078, 1011, 6146, 5056, 1999, 1996, 2186, 1010, 2029, 5246, 2067, 2000, 5556, 1010, 1998, 2031, 2180, 2698, 3442, 2058, 1996, 26069, 1010, 2164, 2093, 1999, 1037, 5216, 2012, 15481, 18338, 1012, 2009, 2003, 1996, 6493, 3045, 9039, 2011, 2593, 2136, 1999, 1996, 2186, 2144, 1047, 1011, 2110, 2180, 2809, 5486, 2013, 3339, 2000, 3355, 1010, 2096, 2009, 2003, 1996, 6493, 3045, 9039, 1999, 19900, 2005, 1996, 19495, 2144, 3045, 2416, 3442, 2013, 3285, 1011, 6255, 1012, 1996, 5049, 2097, 2022, 3743, 9582, 2006, 10978, 2475, 2007, 6285, 16596, 3286, 5638, 1006, 2377, 1011, 2011, 1011, 2377, 1007, 1998, 3505, 19543, 1006, 12941, 1007, 2006, 1996, 2655, 1012, 1047, 1011, 2110, 2513, 2000, 1996, 2327, 2184, 2005, 1996, 2353, 2051, 2023, 2161, 2006, 6928, 1010, 2004, 1996, 19495, 2074, 2028, 3962, 2000, 1037, 5495, 2005, 6049, 2007, 3804, 1999, 1996, 3378, 2811, 8554, 1012, 1996, 4686, 2333, 2048, 7516, 2000, 2053, 1012, 2340, 1999, 1996, 10978, 1013, 3915, 2651, 7850, 8554, 1012, 2009, 6017, 1996, 2034, 2051, 2008, 1996, 2565, 2038, 4396, 2426, 1996, 9706, 2327, 2321, 2005, 2274, 5486, 3134, 2144, 1996, 3777, 1011, 5786, 4686, 2001, 4396, 2426, 1996, 9706, 2327, 2184, 2005, 2403, 5486, 3134, 2013, 11703, 1012, 2539, 1010, 3777, 2000, 2233, 2410, 1010, 3705, 1012, 1996, 19495, 2031, 4396, 2426, 1996, 3842, 1005, 1055, 2327, 2423, 1999, 2119, 14592, 2005, 2809, 5486, 3134, 1011, 1011, 1996, 6493, 2107, 9039, 2144, 1996, 3285, 1011, 6421, 2161, 1012, 1047, 1011, 2110, 3687, 2049, 2034, 2663, 1999, 5367, 2144, 2294, 2006, 9857, 2305, 1010, 2004, 1996, 19495, 2915, 4749, 1012, 1016, 3867, 1999, 14739, 1037, 6146, 1011, 5401, 2663, 2058, 8506, 2012, 1996, 16475, 7231, 2100, 2998, 2415, 1012, 1996, 2539, 1011, 2391, 3377, 4417, 1996, 2922, 7785, 1997, 3377, 1999, 1037, 2223, 2346, 2208, 2144, 1996, 12149, 1997, 1996, 2502, 2260, 1010, 2096, 2009, 2001, 1996, 2922, 1999, 5367, 2144, 1037, 2676, 1011, 2391, 2663, 1006, 6445, 1011, 4583, 1007, 2006, 13114, 1012, 1017, 1010, 3381, 1012, 1996, 2136, 2109, 2037, 5600, 3778, 2000, 2486, 2385, 9781, 9825, 5484, 20991, 2015, 1010, 16401, 1996, 28616, 10841, 2229, 2046, 2012, 2560, 2322, 2685, 2005, 1996, 6252, 2051, 2023, 2161, 1012, 3026, 11064, 12223, 2063, 2419, 2176, 19495, 1999, 3313, 4481, 2007, 2010, 2208, 1011, 2152, 2603, 2685, 2006, 1021, 1011, 1997, 1011, 2403, 5008, 1010, 2164, 1019, 1011, 1997, 1011, 1023, 2013, 1017, 1011, 2391, 2846, 1010, 2000, 2175, 2007, 1037, 2208, 1011, 15233, 2274, 8456, 1012, 2009, 4417, 1996, 6049, 2051, 1999, 1996, 2197, 2260, 2399, 2008, 1996, 4686, 2038, 2018, 2176, 2030, 2062, 2867, 3556, 1999, 3313, 4481, 1012, 13758, 9389, 2906, 5212, 2015, 4206, 6340, 1037, 2379, 3313, 1011, 3313, 2007, 2321, 2685, 1998, 1037, 2208, 1011, 2152, 3157, 11049, 1012, 3502, 6213, 4139, 2368, 1998, 9195, 5163, 2794, 2410, 1998, 2260, 2685, 1010, 4414, 1010, 2096, 5163, 2018, 2012, 2560, 2274, 5991, 2005, 1996, 2959, 2051, 2023, 2161, 1012, 2012, 2324, 1011, 1018, 1010, 1996, 19495, 2024, 2125, 2000, 2037, 2190, 2707, 2104, 2132, 2873, 3581, 3235, 1998, 2037, 2190, 2928, 2144, 1996, 3777, 1011, 5786, 4686, 2441, 1996, 2095, 2007, 1037, 2322, 1011, 1016, 3452, 2928, 1012, 1037, 4248, 2298, 2012, 5111, 2110, 1047, 1011, 2110, 2003, 14985, 2074, 2058, 3770, 2685, 2566, 2208, 1006, 6282, 1012, 1014, 4903, 2290, 1012, 1007, 2006, 4805, 1012, 1015, 3867, 5008, 1006, 25186, 1011, 1997, 1011, 11899, 2692, 1007, 1010, 2164, 3486, 1012, 1023, 3867, 2013, 1017, 1011, 2391, 2846, 1006, 16471, 1011, 1997, 1011, 2871, 2683, 1007, 1010, 2007, 4464, 1012, 1022, 11049, 1010, 2321, 1012, 1017, 8456, 1010, 1021, 1012, 1014, 15539, 1998, 1019, 1012, 1016, 5991, 2566, 2208, 1012, 1996, 4686, 2038, 9370, 3770, 2030, 2062, 2685, 1999, 2410, 1997, 2570, 2399, 1006, 2005, 1996, 2034, 2051, 1999, 2082, 2381, 1007, 1010, 2096, 7294, 2006, 3429, 3867, 2030, 2488, 2013, 1996, 2492, 2006, 2260, 6642, 1012, 1996, 1015, 1010, 6275, 2509, 2685, 3195, 2024, 1996, 2117, 1011, 2087, 2083, 2570, 2399, 1010, 2074, 2369, 1996, 3069, 1011, 6584, 2136, 2040, 3195, 1015, 1010, 6535, 2575, 1999, 2008, 8487, 1012, 1996, 6282, 1012, 1014, 2685, 2566, 2208, 2779, 2003, 2006, 6393, 2000, 4298, 3338, 1996, 2082, 1011, 2501, 1997, 6282, 1012, 1018, 2685, 11398, 2076, 1996, 3999, 1011, 5187, 3049, 1012, 1996, 6146, 1012, 1022, 2685, 2566, 2208, 2779, 2083, 1996, 2034, 2809, 2223, 2399, 2024, 2087, 2005, 1047, 1011, 2110, 2144, 1996, 2707, 1997, 2502, 2260, 2377, 1998, 2087, 1999, 2223, 2377, 2144, 14985, 6640, 1012, 1017, 2685, 2566, 2208, 2000, 2707, 2502, 2809, 2377, 1999, 3069, 1011, 6584, 1012, 1996, 2136, 2003, 14985, 3053, 3486, 2685, 1006, 4090, 1012, 1022, 1007, 2566, 2208, 1999, 1996, 6773, 1010, 2096, 5464, 2034, 9582, 1999, 2087, 3167, 12487, 2015, 4567, 1006, 2423, 1012, 1021, 1007, 1010, 1998, 2489, 11618, 4692, 1006, 2861, 1012, 1021, 1007, 2566, 2208, 1998, 2117, 1999, 2489, 11618, 2081, 1006, 2322, 1012, 1021, 1007, 2566, 2208, 1012, 1996, 5600, 3947, 2038, 2036, 2042, 5024, 1010, 3173, 22277, 2015, 2000, 6273, 1012, 1023, 2685, 2006, 4601, 1012, 1020, 3867, 5008, 2096, 14985, 2322, 1012, 1023, 2685, 2125, 1997, 2459, 1012, 1020, 20991, 2015, 2566, 2208, 1012, 1996, 2136, 2038, 3195, 2322, 2030, 2062, 2685, 2125, 20991, 2015, 1999, 2340, 2399, 1010, 2164, 2809, 1997, 1996, 2197, 2410, 15795, 1010, 2096, 1996, 2871, 2685, 2125, 20991, 2015, 2114, 2148, 7734, 2006, 5553, 1012, 1017, 2020, 1996, 2087, 1011, 2412, 2144, 1996, 28093, 6553, 2211, 2108, 2921, 1999, 2384, 1011, 5757, 1012, 1996, 4686, 2003, 2085, 2340, 1011, 1014, 2043, 4577, 2322, 2030, 2062, 2685, 2125, 2037, 7116, 28616, 10841, 2229, 1012, 2044, 9857, 1005, 1055, 2663, 2058, 8506, 1010, 1996, 19495, 2024, 2085, 2324, 1011, 1018, 3452, 2006, 1996, 2161, 1010, 2029, 2003, 1996, 2190, 2707, 2104, 2132, 2873, 3581, 3235, 1998, 1996, 2190, 1999, 2082, 2381, 2144, 1996, 3777, 1011, 5786, 4686, 2441, 2012, 2322, 1011, 1016, 1012, 2069, 2274, 2060, 2780, 2031, 13258, 2094, 2488, 2044, 2570, 2399, 1999, 1047, 1011, 2110, 2381, 1010, 2004, 1996, 3845, 1011, 5354, 2136, 2318, 2538, 1011, 1015, 1010, 1996, 3890, 1011, 5388, 1998, 3777, 1011, 5786, 20191, 2441, 2012, 2322, 1011, 1016, 1998, 1996, 4006, 1011, 4466, 1998, 3925, 1011, 4868, 2780, 6866, 2539, 1011, 1017, 6017, 2000, 2707, 1996, 2095, 1012, 1996, 2136, 3791, 2048, 2062, 5222, 2000, 2327, 2322, 2005, 1996, 2959, 5486, 2161, 1010, 2029, 2038, 2196, 3047, 1999, 2082, 2381, 1010, 2096, 1996, 2048, 5222, 2052, 2191, 3235, 1996, 2034, 2132, 2873, 1999, 2082, 2381, 2000, 2695, 2322, 5222, 1999, 2169, 1997, 2010, 2034, 2093, 3692, 1012, 9188, 1037, 3054, 1011, 2161, 2117, 2136, 2035, 1011, 2137, 2011, 2119, 20643, 999, 2998, 1998, 1996, 7419, 2739, 1010, 3502, 6213, 4139, 2368, 5260, 2176, 2867, 1999, 3313, 4481, 2012, 2539, 1012, 1014, 2685, 2566, 2208, 2006, 4601, 1012, 1020, 3867, 5008, 2013, 1996, 2492, 2000, 2175, 2007, 2136, 2190, 2015, 1999, 2492, 3289, 1006, 12567, 1007, 1010, 1017, 1011, 2391, 2492, 3289, 1006, 5764, 1007, 1010, 2489, 11618, 1006, 12963, 1007, 1010, 2489, 5466, 7017, 1006, 6535, 1012, 1016, 1007, 1998, 15539, 1006, 4090, 1007, 1010, 2096, 2067, 13421, 6775, 11064, 12223, 2063, 2003, 2117, 1999, 4577, 2012, 2321, 1012, 1014, 2685, 2566, 2208, 2006, 4261, 1012, 1021, 3867, 5008, 2013, 1996, 2492, 1998, 2003, 13284, 2006, 1996, 2136, 1999, 8456, 1006, 6486, 1007, 1998, 6509, 1011, 2000, 1011, 20991, 6463, 1006, 1016, 1012, 1017, 1007, 1012, 1996, 6829, 2038, 4117, 2005, 2058, 2871, 3867, 1997, 1996, 4577, 1006, 6356, 2620, 1007, 2023, 2161, 1010, 2096, 7145, 1010, 2027, 2024, 1996, 2117, 1011, 2087, 13318, 1006, 2004, 2521, 2004, 4117, 2685, 2566, 2208, 2012, 4090, 1012, 1014, 1007, 3457, 18231, 2144, 2280, 6452, 2867, 3505, 6473, 1998, 8057, 2666, 3766, 4117, 2000, 2779, 4229, 1012, 1023, 2685, 2566, 2208, 2005, 1996, 19495, 2090, 3326, 1011, 6146, 1012, 12223, 2063, 9370, 1996, 1015, 1010, 2199, 1011, 2391, 9814, 2005, 2010, 2476, 1006, 2029, 2950, 2010, 2048, 1011, 2095, 12116, 2012, 5631, 1007, 3041, 2023, 2161, 2114, 1045, 6279, 10179, 1998, 2085, 6938, 6049, 1999, 2082, 2381 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2651, 2057, 2031, 16055, 2013, 14166, 6720, 1998, 3814, 10730, 1012, 17186, 2091, 2000, 1996, 2203, 2000, 2156, 2119, 2065, 2017, 3685, 2156, 2068, 2217, 2011, 2217, 1012, 10957, 3720, 2154, 4601, 1037, 19086, 3661, 2011, 3814, 10730, 1008, 1045, 2123, 1521, 1056, 2113, 2055, 2017, 1010, 2021, 1045, 4013, 26775, 14083, 14776, 1998, 2681, 2216, 2590, 11450, 2000, 1523, 24951, 2532, 1524, 1012, 2138, 1997, 2023, 1010, 1045, 2196, 2234, 2041, 7714, 2000, 2026, 10779, 1998, 2767, 1010, 9684, 7439, 1012, 2061, 2023, 2003, 2019, 3535, 2000, 2425, 2032, 2129, 1045, 2514, 2055, 2032, 1998, 2474, 9530, 8159, 10446, 1999, 1996, 2167, 2264, 1012, 2017, 2020, 2066, 1037, 2269, 2000, 2033, 1010, 1996, 2269, 1045, 2196, 2018, 1012, 1045, 2001, 1037, 7098, 2684, 2059, 1998, 2085, 1012, 2009, 2515, 2025, 3043, 2129, 2172, 2057, 21090, 1010, 1045, 2293, 2017, 6203, 2135, 1012, 1045, 3342, 1996, 2335, 2043, 2017, 1998, 1045, 2020, 2006, 1996, 2168, 2217, 1998, 2716, 2008, 9467, 3993, 5813, 2000, 1996, 9808, 8545, 3995, 1010, 6396, 3164, 3320, 1012, 2057, 2180, 1010, 2021, 5064, 1045, 2371, 2919, 1012, 2009, 2106, 2025, 2202, 2146, 2000, 2113, 2339, 1025, 2017, 2156, 1045, 2387, 2048, 2273, 9979, 1998, 5390, 1010, 2138, 2037, 2925, 2018, 2042, 4315, 17440, 2011, 2474, 9530, 8159, 10446, 1010, 2011, 2033, 1998, 2017, 1045, 2371, 2037, 3255, 1529, 1998, 2026, 3969, 2001, 2333, 2000, 3198, 3980, 1999, 2344, 2000, 3305, 2037, 3255, 1012, 1045, 2106, 2025, 2113, 2059, 2008, 1045, 2001, 2927, 2026, 2219, 4990, 1012, 9684, 1010, 1045, 3764, 2000, 2061, 2116, 2111, 1998, 3191, 2061, 2116, 2808, 2559, 2000, 9398, 3686, 2026, 9029, 1010, 2021, 1996, 9560, 2001, 11341, 1012, 1045, 2442, 2425, 2017, 2008, 1045, 2001, 2061, 4854, 2007, 1996, 2277, 2043, 1045, 5319, 2054, 1996, 2466, 1997, 2061, 9527, 1998, 2175, 5302, 11335, 2001, 2035, 2055, 1010, 1999, 15006, 23270, 23732, 1012, 2106, 2017, 2113, 2023, 1029, 2017, 2089, 2031, 2124, 1010, 1998, 2009, 2106, 2025, 2644, 2017, 2013, 2478, 2009, 2114, 1996, 15667, 2015, 1012, 1045, 2109, 2026, 2047, 3716, 2000, 2468, 2019, 8175, 2005, 2689, 2306, 2474, 9530, 8159, 10446, 1998, 1996, 6696, 2277, 1012, 2026, 2047, 16819, 2106, 2025, 2175, 22719, 1998, 1996, 14522, 2211, 1012, 2129, 2106, 2017, 2514, 2296, 2051, 2619, 3764, 2026, 2171, 2007, 25134, 1998, 11150, 1029, 2106, 2017, 6985, 2033, 1029, 2106, 2009, 3480, 2017, 1029, 1045, 3342, 2028, 2154, 2012, 2115, 2210, 2436, 1999, 2474, 2014, 15530, 2050, 2277, 1010, 2017, 2356, 2033, 2339, 2001, 1045, 2061, 13459, 2055, 20324, 2005, 1996, 10502, 1997, 5637, 2015, 1999, 1996, 2277, 1029, 1045, 4660, 2008, 1045, 2018, 4342, 2000, 3582, 2026, 20488, 1998, 4752, 2013, 1996, 2190, 1011, 2032, 1012, 2017, 2106, 2025, 2360, 1037, 2773, 1010, 1998, 1045, 2074, 2187, 1012, 2101, 2017, 2409, 2619, 2008, 1045, 2018, 3844, 2017, 2039, 1025, 2129, 2064, 1045, 3437, 2008, 999, 2006, 2178, 6686, 3564, 1999, 1996, 2168, 2436, 1010, 2017, 2356, 2033, 2025, 2000, 2175, 2000, 2026, 2197, 3116, 1997, 1996, 6696, 13965, 1999, 9506, 1012, 2017, 2056, 2008, 2027, 2020, 2183, 2000, 14323, 2017, 1998, 2017, 2106, 2025, 2215, 2068, 2000, 3480, 2033, 1012, 1045, 2354, 2054, 2027, 2359, 2000, 14323, 2033, 2055, 1010, 2021, 2040, 2409, 2068, 1010, 2001, 2009, 2017, 1029, 2020, 2017, 2667, 2000, 4047, 2033, 2030, 2667, 2000, 4047, 4426, 2013, 2635, 3903, 1029, 4312, 1010, 2017, 2018, 2498, 2000, 4737, 2055, 1010, 2138, 2026, 2905, 2001, 28070, 5665, 1998, 1045, 2018, 2081, 1996, 3247, 2000, 2175, 2000, 5984, 7043, 2000, 2022, 2007, 2014, 1012, 2000, 2023, 2154, 1045, 9038, 2008, 3247, 1012, 1045, 2323, 2031, 2908, 2000, 2008, 3116, 1012, 2672, 2242, 2204, 2071, 2031, 2272, 2041, 1997, 2009, 1012, 2017, 1010, 2005, 2320, 2052, 2031, 2018, 2000, 2655, 2033, 1037, 2061, 9527, 4221, 2000, 2026, 2227, 1998, 1045, 2052, 2031, 1529, 6639, 1012, 1045, 2036, 2113, 2129, 2017, 2253, 2369, 2026, 2067, 1998, 2499, 2115, 3894, 2000, 6366, 2033, 2013, 2026, 4105, 4460, 1999, 2474, 2014, 15530, 2050, 1012, 2017, 3764, 2000, 1996, 4177, 1997, 2474, 9530, 8159, 10446, 1998, 1996, 6696, 13965, 1998, 1045, 2001, 3292, 2094, 2066, 1037, 3393, 4842, 1012, 2748, 1045, 2001, 1037, 3393, 4842, 2040, 2018, 2000, 2022, 2921, 2185, 2061, 2008, 2016, 2052, 2025, 28736, 1996, 16216, 10867, 2015, 1997, 3425, 1010, 10502, 1998, 2293, 1012, 2023, 2277, 2001, 2026, 2155, 1998, 1045, 2001, 2042, 6908, 2041, 1998, 2026, 2269, 2018, 2589, 2087, 1997, 1996, 2147, 1012, 2008, 2001, 2061, 9145, 1012, 1999, 2541, 1045, 2253, 2000, 1996, 5580, 3653, 1011, 3320, 2724, 1998, 2045, 1045, 2777, 1996, 2087, 6429, 2450, 2108, 1998, 1996, 2293, 1997, 2026, 2166, 1010, 7912, 20911, 1012, 2016, 17749, 2551, 2007, 2017, 2006, 1996, 15384, 2278, 1013, 17102, 5386, 2837, 1012, 1045, 4299, 2017, 2052, 2031, 2018, 1996, 4495, 2000, 2156, 2149, 2362, 1012, 2057, 2024, 1037, 6919, 3232, 1012, 2057, 2293, 1998, 4847, 2169, 2060, 2066, 2017, 1998, 16183, 8462, 2106, 1012, 2256, 2293, 3310, 2013, 2256, 8633, 2029, 9547, 2149, 1999, 1037, 2126, 2008, 2064, 2069, 2022, 2170, 7746, 1012, 2017, 2052, 2031, 2042, 2061, 7098, 1998, 1045, 2031, 2053, 4797, 2008, 2017, 2052, 2031, 2272, 2000, 2293, 2014, 2004, 2092, 1012, 2017, 2409, 2033, 2320, 1010, 2043, 2017, 2020, 2485, 2000, 2331, 1010, 2008, 2017, 3866, 2033, 2066, 1037, 2684, 1012, 1045, 2123, 1521, 1056, 3342, 2054, 1045, 4660, 1010, 2021, 2292, 2033, 2425, 2017, 2085, 1012, 6335, 21818, 2017, 1998, 1045, 9641, 2017, 1012, 3531, 9641, 2033, 1010, 2005, 2025, 2383, 1996, 8424, 2000, 2031, 2023, 4512, 1999, 2711, 1998, 2507, 2017, 1996, 4495, 2000, 2689, 2115, 2540, 1012, 2043, 1045, 3280, 1998, 3693, 2017, 1999, 24956, 1999, 1996, 5304, 1010, 2292, 1521, 1055, 2031, 2070, 4157, 1998, 2074, 2831, 1529, 1008, 3814, 10730, 2003, 2019, 20621, 2934, 2012, 11526, 2118, 1998, 4435, 2386, 2118, 1012, 2016, 3268, 2007, 2014, 4256, 1010, 7912, 20911, 1010, 1999, 16272, 1010, 2662, 1012, 2016, 2003, 1996, 2132, 1997, 1996, 2053, 27932, 2837, 1997, 1996, 5580, 4707, 1012, 2016, 2064, 2022, 2584, 2012, 10373, 1030, 2742, 1012, 4012, 10957, 3720, 2154, 4601, 2011, 14166, 6720, 1008, 1045, 2001, 1037, 10452, 1999, 2267, 2043, 1045, 2034, 2387, 2026, 11419, 17102, 18683, 2083, 1996, 2159, 1997, 2019, 21002, 1024, 2026, 2047, 2767, 1010, 1051, 1012, 2002, 2409, 2033, 2002, 2018, 2042, 2000, 1037, 1523, 3017, 2277, 1524, 1999, 2152, 2082, 1012, 2002, 2056, 1010, 1523, 2009, 2001, 1037, 3017, 2277, 2066, 6737, 1010, 2021, 2009, 3975, 1012, 2111, 5275, 3251, 1996, 6331, 2001, 6719, 2995, 1012, 2026, 3566, 4370, 2007, 1996, 2277, 2083, 2216, 2335, 1010, 2021, 2059, 2016, 2657, 1037, 18408, 2008, 9196, 2111, 2052, 2203, 2039, 1999, 3109, 1012, 2061, 2090, 1996, 3975, 1998, 1996, 4997, 7696, 1010, 2057, 3030, 2183, 1012, 1524, 2009, 2987, 1521, 1056, 2614, 2066, 1037, 17102, 1521, 2277, 1010, 2515, 2009, 1029, 2411, 1523, 22361, 1524, 2123, 1521, 1056, 2113, 2065, 1037, 2277, 2003, 1999, 2256, 18683, 1012, 1998, 1045, 2106, 2025, 2228, 2023, 28667, 21723, 2075, 1997, 2277, 2052, 2031, 2018, 1037, 2417, 15775, 13231, 2041, 2392, 1012, 2044, 2035, 1010, 2057, 7475, 2055, 1037, 2843, 1997, 2477, 2021, 2025, 1996, 3265, 7613, 1997, 18919, 1010, 2157, 1029, 2061, 2043, 2002, 2318, 7052, 1996, 17102, 2277, 2007, 1037, 2417, 15775, 13231, 1999, 4069, 3193, 2648, 2256, 2267, 2237, 1010, 1045, 2001, 7568, 1012, 2023, 2767, 2052, 7523, 1996, 4310, 2330, 2791, 1998, 15661, 2057, 2031, 2004, 1037, 4752, 1012, 3383, 2026, 2767, 2052, 4558, 2216, 2991, 20113, 4784, 2055, 1996, 1057, 25394, 2791, 1997, 1996, 2277, 1010, 1998, 2002, 2052, 2272, 2000, 2156, 7988, 2004, 1045, 2106, 1516, 2019, 10866, 14531, 1997, 2643, 1521, 1055, 2293, 2005, 2035, 2111, 1012, 1045, 2253, 2007, 2032, 1037, 2261, 2335, 1998, 2371, 2012, 2188, 1516, 1045, 2354, 1996, 2774, 1010, 1996, 21176, 2001, 5220, 1010, 1998, 1996, 2111, 2020, 2200, 5379, 1012, 2043, 1045, 2409, 1996, 2704, 1045, 2001, 1037, 14512, 1521, 1055, 4845, 1010, 2002, 3202, 5720, 2000, 2033, 2066, 2019, 1523, 25297, 1524, 1012, 4406, 2033, 1010, 2026, 2767, 2359, 2000, 2175, 2000, 2277, 2296, 4465, 1012, 2002, 2318, 2183, 2000, 2060, 2967, 2205, 1012, 2320, 1999, 19511, 1045, 2587, 2032, 2005, 7425, 1012, 1998, 2043, 1045, 2106, 1010, 1996, 3080, 12455, 2506, 2000, 8970, 3209, 2000, 2033, 1006, 2750, 2383, 2777, 2033, 2077, 1007, 1010, 2021, 1996, 2214, 6456, 2467, 7147, 1523, 7632, 1524, 2000, 2032, 1012, 1045, 10596, 2062, 7023, 1999, 2032, 2043, 2057, 7042, 2774, 2008, 2020, 2320, 2066, 12358, 2000, 2032, 1012, 2011, 2117, 13609, 2057, 2318, 5983, 7987, 4609, 2818, 2362, 2062, 2411, 2044, 5777, 1999, 2006, 14803, 1012, 1045, 2356, 2032, 1010, 1523, 2024, 2017, 2145, 2183, 2000, 2277, 1029, 2106, 2017, 2468, 1037, 2266, 1029, 1524, 1523, 2053, 1010, 1045, 2787, 2000, 2644, 1012, 1045, 2318, 2183, 2000, 6331, 2913, 1998, 1045, 2253, 2000, 1996, 9220, 1521, 1055, 2160, 2005, 1037, 4596, 1012, 2021, 2012, 2028, 4596, 1010, 1037, 2158, 2001, 3331, 2919, 2055, 2111, 2040, 2020, 5637, 1012, 1045, 2134, 1521, 1056, 2360, 2505, 1010, 2021, 1045, 2123, 1521, 1056, 2228, 1045, 2215, 2000, 2022, 2112, 1997, 2008, 2277, 1010, 1524, 2002, 2056, 1012, 1523, 2017, 2113, 2025, 2035, 17102, 2228, 2008, 2126, 999, 2008, 2001, 2074, 2070, 5236, 2711, 1516, 1045, 2876, 1521, 1056, 2292, 2032, 3713, 2005, 1996, 2277, 1012, 2643, 2987, 1521, 1056, 2729, 2055, 15949, 999, 1524, 1045, 2056, 1012, 1523, 14166, 1516, 1996, 9220, 1521, 1055, 2564, 3530, 2007, 1996, 2711, 2040, 2056, 2009, 1010, 1524, 2002, 2056, 1012, 1045, 2572, 2469, 2026, 2767, 2354, 2008, 2002, 2001, 3331, 2000, 2619, 2040, 2071, 2025, 4952, 1012, 1045, 2001, 2025, 7968, 2438, 2000, 5382, 1996, 2168, 1012, 1045, 2921, 3331, 2055, 2040, 1996, 17102, 2020, 1998, 2008, 2002, 2071, 2145, 2022, 1037, 17849, 1998, 2228, 2054, 2002, 2359, 1012, 1045, 2001, 2025, 5962, 1010, 1998, 1045, 2001, 2025, 2478, 2023, 4495, 2000, 4553, 2054, 1045, 2734, 2000, 2113, 1012, 2057, 2031, 4370, 2204, 2814, 2144, 3225, 2125, 2362, 2008, 10452, 2095, 1999, 2786, 1012, 2002, 2052, 2350, 1999, 8006, 1998, 2424, 1037, 4752, 2062, 21346, 1997, 2370, 1999, 1996, 9134, 2277, 1012, 2612, 1997, 3352, 1037, 5011, 1010, 2066, 1045, 2467, 2245, 2002, 2052, 1010, 2002, 2052, 2175, 2006, 2000, 2022, 1037, 5160, 1012, 2002, 2052, 2036, 2272, 2041, 2044, 2267, 1516, 1037, 2261, 2086, 2077, 1045, 2052, 1012, 1045, 2298, 2067, 2006, 2256, 2051, 1999, 2267, 1998, 1045, 4687, 2054, 2052, 2031, 3047, 2000, 2033, 2065, 1045, 2018, 2579, 2010, 8089, 4953, 1996, 24004, 24920, 2002, 9741, 2062, 5667, 1012, 2026, 3754, 2000, 2156, 1996, 2190, 1999, 2026, 2277, 1998, 2026, 2293, 1997, 2256, 18678, 1998, 4519, 1011, 3561, 2643, 2419, 2033, 2000, 16968, 2082, 1037, 3232, 2086, 2044, 2267, 1012, 1045, 2572, 2025, 3374, 2005, 1996, 11785, 2008, 1045, 2031, 3805, 2004, 2019, 1523, 2041, 1524, 2704, 1010, 2021, 1045, 2411, 2228, 1997, 2023, 2767, 1012, 1045, 4687, 1516, 2054, 2785, 1997, 3003, 2052, 2002, 2031, 2468, 2065, 2002, 2018, 4370, 2007, 2256, 2277, 1029, 2002, 2003, 2085, 2006, 1996, 17447, 2854, 1997, 2010, 9134, 2277, 1012, 1045, 4687, 2055, 2035, 1996, 2367, 2111, 2008, 2256, 2277, 14572, 1996, 4303, 2006, 2302, 9301, 2009, 1516, 1999, 2217, 11450, 1010, 1999, 21591, 8635, 1010, 1998, 1999, 4105, 2008, 2003, 11499, 1997, 2256, 7262, 2791, 1012, 1998, 1045, 4687, 2055, 2129, 2023, 2277, 2097, 2689, 1012, 2044, 2698, 2086, 1997, 9492, 3757, 1010, 1045, 2572, 4083, 1037, 2843, 2055, 1996, 2373, 1997, 2216, 4251, 11450, 2026, 2767, 9741, 1012, 2009, 2003, 2216, 11450, 2008, 2191, 2009, 7823, 2005, 2033, 2000, 2424, 6107, 2750, 2129, 6919, 2135, 2330, 13128, 1998, 18678, 1037, 2277, 1045, 2109, 2000, 2113, 2057, 2024, 1012, 1998, 1045, 4687, 2129, 2146, 1045, 2097, 2994, 1037, 2112, 1997, 2149, 1012, 2009, 4150, 6211, 1998, 6211, 2005, 2033, 2000, 2031, 13986, 2005, 2372, 1997, 2256, 2417, 15775, 13231, 5231, 2040, 2360, 4997, 2477, 2055, 2111, 2040, 2024, 1048, 13512, 5638, 4160, 2006, 2591, 2865, 1010, 2000, 2963, 2055, 2067, 1011, 2341, 24069, 1997, 4655, 2025, 7694, 16410, 2011, 2030, 2005, 12010, 18515, 2111, 1010, 1998, 2000, 11113, 5178, 1996, 4223, 1997, 2061, 2116, 2040, 2228, 2027, 2031, 2242, 2000, 4558, 2011, 1523, 2746, 2041, 1524, 1999, 14657, 2005, 2111, 2040, 2024, 12010, 18515, 1012, 1045, 2298, 2067, 2006, 2008, 2034, 3278, 4512, 2007, 2019, 1523, 21002, 1524, 2000, 2026, 4752, 1010, 1998, 1045, 4687, 2085, 2054, 2643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2739, 2197, 2733, 2013, 1996, 6622, 2392, 1024, 1008, 1008, 2417, 1035, 2675, 1008, 1008, 1999, 2047, 3290, 1010, 1996, 4001, 2495, 2837, 4844, 1037, 3021, 2158, 16616, 9886, 1997, 1996, 2671, 8882, 4781, 1997, 1996, 2120, 2914, 1997, 4163, 1010, 2029, 2421, 1037, 3899, 12644, 3949, 1997, 6622, 1012, 9177, 2114, 1996, 3021, 1010, 2198, 8670, 2819, 13444, 3678, 1010, 1037, 3050, 26234, 2891, 2120, 5911, 20248, 21281, 19570, 2923, 1010, 2409, 1996, 2837, 2008, 1000, 21477, 2015, 2031, 2025, 1037, 9789, 2055, 2129, 11046, 4158, 1012, 1000, 1008, 1008, 2417, 1035, 2675, 1008, 1008, 1999, 3448, 1010, 1037, 2334, 2137, 2155, 2523, 3003, 6303, 2008, 2082, 4584, 4487, 3736, 6767, 2860, 2653, 2109, 1999, 1037, 7366, 16432, 13599, 7746, 4325, 2007, 28625, 6483, 1010, 6904, 2094, 8738, 2015, 1010, 1998, 2060, 3596, 1997, 1000, 18404, 11020, 13684, 1012, 1000, 1008, 1008, 2417, 1035, 2675, 1008, 1008, 2408, 1996, 2406, 1010, 3780, 19377, 2988, 2008, 2019, 12175, 1020, 1011, 2260, 2661, 2898, 2718, 1996, 3011, 3515, 2454, 2086, 3283, 1010, 4288, 2048, 1011, 12263, 1997, 1996, 2427, 2059, 1999, 4598, 1012, 2019, 3378, 2811, 3720, 5531, 1010, 1000, 2426, 1996, 8643, 1010, 6529, 2903, 1010, 2020, 2235, 11993, 2008, 1011, 1011, 2058, 8817, 1997, 2086, 1011, 1011, 7964, 2046, 2116, 2047, 2427, 1010, 2164, 4286, 1012, 1000, 1008, 1008, 2417, 1035, 2675, 1008, 1008, 2058, 1996, 2627, 2095, 1010, 1996, 6622, 6704, 2038, 15767, 2408, 1996, 3842, 1012, 5169, 2152, 1011, 2082, 3076, 6266, 8109, 1005, 1055, 2645, 2003, 5171, 1024, 2043, 2002, 3427, 1037, 9823, 2678, 2008, 7108, 1996, 4761, 1997, 2166, 2000, 1000, 6721, 10737, 1999, 1996, 7224, 1010, 1000, 2002, 5275, 2008, 1996, 4760, 1997, 1996, 2678, 1010, 2007, 2049, 12761, 23617, 1010, 14424, 2334, 2082, 3343, 9034, 5089, 2000, 2556, 6622, 2004, 3399, 1010, 2025, 2755, 1012, 1037, 2082, 2837, 3322, 3530, 1012, 2021, 1010, 2104, 9353, 7630, 3778, 1010, 1996, 2082, 2604, 5451, 2005, 1996, 2678, 1012, 2008, 2645, 4247, 1012, 1008, 1008, 2417, 1035, 2675, 1008, 1008, 1998, 2045, 1005, 1055, 2060, 2739, 1024, 2671, 2932, 7420, 2008, 4325, 5130, 2024, 2746, 2067, 4273, 2007, 1037, 1000, 14021, 15603, 2094, 2047, 5656, 1012, 1000, 1996, 2047, 5656, 6401, 2006, 1037, 4145, 12599, 9414, 2640, 1012, 1996, 2640, 2929, 3065, 4872, 1997, 3045, 1037, 2173, 2012, 1996, 2795, 1999, 10644, 16926, 1010, 2096, 26112, 8135, 4986, 2055, 1996, 2535, 2671, 3248, 1999, 1996, 2783, 3226, 5233, 1012, 2460, 1010, 10424, 11012, 3709, 1010, 2007, 2461, 2227, 1998, 13675, 19839, 2135, 2159, 1010, 10852, 1041, 1012, 3779, 1997, 1996, 8256, 2375, 2082, 2003, 2019, 9832, 2559, 6208, 1012, 2664, 2002, 2003, 1996, 8969, 3003, 1997, 2019, 9414, 2640, 2929, 2008, 13585, 4438, 16218, 2015, 1997, 12761, 3399, 2007, 1037, 4840, 1010, 9525, 3921, 1012, 1996, 3145, 1010, 2720, 1012, 3779, 2409, 2088, 1010, 2003, 2025, 2000, 6985, 1037, 4810, 2597, 2061, 2172, 2004, 2000, 5326, 4187, 1011, 3241, 4813, 1012, 2004, 1037, 2375, 2934, 1010, 2720, 1012, 3779, 1005, 1055, 3579, 2003, 2006, 1996, 7961, 1998, 17871, 2109, 1999, 2490, 1997, 11534, 2964, 1012, 6529, 3857, 1037, 2553, 3599, 2004, 9559, 2079, 1999, 1996, 20747, 1010, 2478, 1996, 2168, 9942, 1997, 27577, 1012, 2005, 2742, 1010, 2720, 1012, 3779, 2685, 2041, 1010, 1000, 11534, 5130, 5770, 2013, 1041, 15549, 6767, 18252, 2090, 2048, 15383, 1997, 1996, 2744, 6622, 1012, 1000, 2823, 1996, 2773, 5218, 3432, 2000, 3576, 3431, 1999, 1996, 2542, 2088, 1011, 1011, 2019, 27885, 8043, 12423, 2755, 2008, 2053, 2028, 3980, 1012, 2021, 2012, 2060, 2335, 2009, 2965, 2008, 2035, 2166, 2764, 2083, 3294, 3019, 5320, 1011, 1011, 1037, 9569, 12143, 2008, 2003, 3811, 21068, 1012, 1999, 2720, 1012, 3779, 1005, 1055, 2616, 1010, 1000, 11534, 5130, 2377, 1037, 5806, 2208, 2011, 2893, 2017, 2000, 27195, 2000, 1996, 20610, 6210, 1997, 6622, 1010, 1998, 2059, 9104, 2008, 2009, 4012, 11880, 2015, 2017, 2000, 5138, 1037, 7721, 4695, 1997, 3019, 2964, 1012, 1000, 2178, 2691, 7577, 1997, 27577, 2003, 1996, 13228, 2224, 1997, 3350, 1012, 1996, 8866, 5587, 18796, 2094, 1999, 5684, 1997, 11534, 2964, 2024, 27873, 2033, 17325, 1024, 3576, 17241, 1999, 1996, 3609, 1997, 14885, 1010, 1996, 4338, 1997, 16133, 23525, 2015, 1010, 2030, 1996, 4777, 1997, 5909, 10029, 1012, 2107, 4973, 5050, 12719, 1997, 4493, 5090, 1025, 2027, 2681, 14477, 3619, 13777, 2098, 1996, 5255, 3160, 1024, 2129, 2515, 3267, 3443, 3375, 5090, 1999, 1996, 2034, 2173, 1029, 2005, 1996, 11534, 2937, 2995, 24591, 1010, 2720, 1012, 3779, 2758, 1010, 2054, 7346, 1996, 6578, 2003, 19176, 2594, 4695, 1012, 1000, 2065, 3019, 2964, 2003, 2995, 1011, 1011, 2065, 3267, 2003, 2035, 2008, 6526, 1011, 1011, 2059, 2242, 2200, 2172, 2066, 11534, 2964, 2038, 2000, 2022, 2995, 1010, 2053, 3043, 2054, 1996, 2110, 1997, 1996, 3350, 1012, 1000, 2010, 14886, 7091, 1024, 1000, 11534, 2964, 2003, 2025, 2061, 2172, 2019, 28937, 2013, 1996, 8866, 2004, 1037, 2139, 16256, 2013, 19176, 2594, 4695, 1012, 1000, 2720, 1012, 3779, 9251, 2010, 2553, 1999, 2048, 2808, 1010, 11534, 2006, 3979, 1998, 3114, 1999, 1996, 5703, 1012, 1996, 22012, 1998, 2061, 21850, 10074, 3370, 1997, 2010, 8312, 2038, 2180, 1037, 4994, 2005, 1996, 2640, 20680, 1999, 2152, 1011, 2504, 3834, 7925, 1012, 1997, 2607, 1010, 2070, 5069, 6529, 19776, 2720, 1012, 3779, 2004, 1037, 5160, 2040, 2038, 15849, 2618, 11469, 2010, 19202, 1011, 1011, 2040, 2074, 1000, 2987, 1005, 1056, 3305, 2129, 2671, 2573, 1012, 1000, 2664, 2002, 2038, 2042, 4778, 2000, 3713, 2012, 2110, 1998, 2797, 5534, 2408, 1996, 2406, 1010, 1998, 2010, 11973, 15966, 2038, 3687, 2032, 4010, 28956, 2426, 2116, 1997, 1996, 6529, 2040, 2024, 2010, 7789, 22277, 2015, 1012, 2005, 2742, 1010, 2043, 2402, 6266, 8109, 11456, 1996, 9823, 2678, 1010, 2002, 16954, 3253, 2019, 4522, 2170, 1000, 11534, 2964, 1024, 2671, 2030, 19176, 2594, 4695, 1029, 1000, 3794, 2720, 1012, 3779, 1999, 1037, 8422, 2118, 5981, 2007, 10921, 21477, 2520, 4013, 20534, 1006, 2800, 2013, 1996, 3229, 2470, 2897, 1010, 7479, 1012, 12098, 2078, 1012, 8917, 1013, 12098, 2078, 1007, 1012, 2054, 1005, 1055, 2062, 1010, 2720, 1012, 4013, 20534, 3084, 1037, 2391, 1997, 5599, 1996, 4378, 2113, 2008, 2002, 1998, 2720, 1012, 3779, 2024, 2814, 1011, 1011, 2008, 2044, 1996, 5981, 2027, 2097, 2175, 2041, 2005, 4596, 1998, 2031, 1037, 5404, 2362, 1012, 1996, 2640, 2929, 4107, 2062, 2084, 2047, 1998, 5301, 16218, 2015, 1997, 12761, 3399, 1010, 2174, 1012, 2049, 3125, 2003, 2000, 2265, 2008, 9414, 2640, 2036, 4972, 2004, 1037, 3893, 2470, 2565, 1012, 2008, 4708, 2038, 2042, 2579, 2039, 2011, 2745, 2022, 5369, 1997, 23241, 2118, 1012, 1999, 11534, 1005, 1055, 2304, 3482, 1024, 1996, 16012, 15869, 4119, 2000, 6622, 1010, 2720, 1012, 2022, 5369, 13999, 1996, 4145, 1997, 1000, 20868, 5596, 21104, 11619, 1012, 1000, 2012, 1996, 28272, 1997, 2166, 1010, 1999, 1996, 26396, 2088, 1997, 1996, 3526, 1010, 2057, 2424, 8382, 6681, 5398, 1997, 6970, 16570, 4383, 3033, 1010, 2035, 1997, 2029, 2024, 4072, 2005, 1996, 6681, 2000, 2147, 1012, 2107, 5090, 3685, 2031, 6003, 6360, 2011, 2151, 9530, 3401, 11444, 3468, 11534, 2937, 2832, 1012, 2007, 2010, 4317, 7877, 1998, 16514, 2868, 1010, 2720, 1012, 2022, 5369, 2038, 2019, 22091, 1011, 18454, 10603, 2250, 2055, 2032, 1010, 11013, 2011, 1996, 10017, 4309, 1997, 2010, 11749, 26488, 3797, 1998, 29328, 12069, 2229, 1012, 2002, 2003, 3493, 3234, 1010, 2038, 2195, 2336, 1010, 1998, 5665, 12717, 12556, 2015, 2010, 9918, 2007, 2188, 2100, 11698, 3111, 1012, 2010, 5440, 2742, 1997, 20868, 5596, 21104, 11619, 2003, 1037, 8000, 6494, 2361, 1024, 2017, 2064, 1005, 1056, 2202, 2112, 1997, 1037, 8000, 6494, 2361, 1011, 1011, 2360, 1010, 1996, 4799, 2918, 1011, 1011, 1998, 4608, 1037, 2261, 12328, 1010, 2059, 5587, 1037, 3500, 1998, 4608, 1037, 2261, 2062, 1010, 1998, 2061, 2006, 1012, 2017, 2342, 1996, 3143, 24528, 16790, 2013, 1996, 2707, 2000, 4608, 2130, 2028, 8000, 1012, 1996, 2168, 2003, 2995, 1997, 1996, 8382, 5090, 2008, 4287, 2006, 1996, 2449, 1997, 2166, 1012, 2027, 8676, 1997, 2522, 1011, 5967, 1010, 20271, 7790, 3033, 2008, 2442, 2522, 1011, 4839, 2013, 1996, 2707, 1012, 2107, 20868, 5596, 21104, 11619, 1010, 2720, 1012, 2022, 5369, 9251, 1010, 2003, 3350, 1997, 4454, 1012, 1996, 2338, 1005, 1055, 17727, 8586, 3540, 6321, 5275, 2553, 2038, 2180, 26438, 4391, 1999, 3267, 1010, 1996, 2047, 2259, 2335, 1010, 1996, 9519, 1997, 3020, 2495, 1010, 1998, 2088, 1006, 13323, 1012, 2260, 1010, 2727, 1007, 1012, 1996, 3731, 3319, 1010, 2405, 2011, 10210, 1010, 3728, 2743, 2195, 4391, 1997, 2720, 1012, 2022, 5369, 1005, 1055, 2338, 1010, 1998, 2019, 9046, 3277, 2097, 3444, 1037, 17899, 2007, 2720, 1012, 2022, 5369, 1998, 2720, 1012, 3779, 2004, 6818, 1012, 1996, 2640, 6685, 2003, 13946, 2008, 2009, 2064, 5851, 1037, 3509, 4974, 1999, 1996, 10420, 2088, 1997, 10644, 16926, 1012, 1996, 2640, 2929, 2018, 2049, 4182, 1999, 1996, 2220, 3955, 1010, 1999, 1037, 4714, 2413, 1011, 4092, 2352, 17335, 2006, 1996, 20981, 11373, 1997, 1996, 5364, 13698, 1012, 2012, 4557, 8040, 25293, 12494, 1005, 1055, 3757, 1000, 1048, 1005, 11113, 3089, 1010, 1000, 2798, 22794, 14226, 1010, 4840, 2013, 1037, 11316, 2565, 1999, 6370, 1010, 20615, 2007, 1996, 13494, 1997, 2010, 4752, 1012, 2106, 2166, 4088, 1999, 1037, 5072, 11350, 1029, 1000, 19628, 1997, 4761, 1011, 1997, 1011, 2166, 8106, 2020, 4760, 2039, 1999, 1996, 4045, 3906, 1010, 1000, 2720, 1012, 22794, 14226, 17722, 1012, 1000, 2021, 1045, 2921, 3241, 1997, 1996, 7893, 1010, 1005, 9462, 4763, 2007, 2204, 1012, 1005, 1045, 2371, 8135, 2323, 3749, 1037, 3893, 4522, 1012, 1000, 2008, 4522, 2001, 9414, 2640, 1012, 2720, 1012, 22794, 14226, 2187, 1048, 1005, 11113, 3089, 1998, 5337, 3550, 2010, 4784, 1999, 1996, 6547, 1997, 2166, 1005, 1055, 4761, 1010, 2522, 1011, 8786, 2007, 4787, 8981, 1998, 5074, 18997, 1012, 1996, 2338, 1005, 1055, 4323, 2003, 2008, 6064, 2003, 7687, 4454, 12359, 1999, 1037, 6897, 3252, 1010, 2029, 12748, 2008, 2009, 2001, 2580, 2011, 2019, 9414, 4005, 1012, 2023, 2003, 1037, 7091, 2241, 2025, 2006, 3412, 4752, 2021, 2006, 6623, 3325, 1024, 7188, 2057, 2156, 1037, 4471, 1011, 1011, 3251, 2517, 2006, 3259, 1010, 12659, 2006, 1996, 3274, 3898, 1010, 2030, 15047, 1999, 1996, 5472, 1011, 1011, 2057, 26597, 7868, 2008, 2009, 2001, 2517, 2011, 2019, 9414, 4005, 1012, 1000, 1996, 2801, 1997, 9414, 5320, 2003, 2074, 2004, 4045, 2004, 1996, 2801, 1997, 3019, 5320, 1010, 1000, 9251, 2720, 1012, 22794, 14226, 1010, 2040, 2085, 12011, 2012, 2798, 2118, 1999, 8634, 1012, 1000, 1999, 2119, 3572, 1010, 2057, 4009, 2256, 3350, 2013, 3325, 1012, 1000, 2054, 2785, 1997, 3325, 1029, 1000, 1999, 6623, 2166, 2057, 10782, 3019, 2013, 9414, 5320, 2035, 1996, 2051, 1011, 1011, 2043, 2610, 3738, 5646, 3251, 1037, 2711, 2351, 1997, 3019, 5320, 2030, 2001, 7129, 1010, 2043, 19254, 5630, 3251, 1037, 9090, 5669, 2600, 2003, 2074, 1037, 2600, 2030, 1037, 5122, 10893, 23048, 6994, 1012, 2339, 2064, 1005, 1056, 2057, 2224, 1996, 2168, 13384, 1999, 3019, 2671, 1029, 1000, 2007, 2049, 14886, 16218, 1997, 4761, 1011, 1997, 1011, 2166, 8106, 1010, 6547, 2001, 8182, 1999, 2327, 2658, 9263, 2107, 2004, 1996, 7996, 3485, 1997, 7366, 1010, 1998, 2009, 2003, 2145, 2109, 1999, 4619, 2816, 2408, 1996, 3842, 2005, 2049, 11591, 4045, 2522, 6914, 5666, 1012, 2178, 2590, 27961, 2005, 1996, 2640, 2929, 2001, 1996, 14527, 16218, 1997, 9253, 1011, 11534, 2964, 3253, 1999, 6622, 1024, 1037, 3399, 1999, 5325, 1010, 2517, 2011, 2059, 1011, 12943, 28199, 2745, 23906, 1012, 2651, 1005, 1055, 26303, 1997, 25962, 1999, 2495, 2001, 17999, 6576, 2011, 1037, 2152, 2082, 7366, 12448, 1010, 1997, 25462, 2015, 1998, 2111, 1010, 2405, 2011, 1996, 3192, 2005, 2245, 1998, 9615, 1999, 9482, 1010, 3146, 1012, 2055, 2321, 1010, 2199, 2808, 2031, 2042, 2853, 2005, 2224, 1999, 2270, 2816, 1012, 2021, 1037, 2929, 5942, 2062, 2084, 2204, 4784, 1010, 1998, 1996, 25238, 3173, 1996, 2640, 2929, 2362, 2003, 4321, 1996, 10863, 2943, 1997, 10852, 3779, 1012, 2002, 2038, 2499, 12824, 10895, 2000, 12148, 4697, 1996, 2640, 20680, 1010, 7477, 2075, 2009, 2004, 1996, 1000, 2502, 9311, 1000, 2005, 1996, 11295, 2088, 1012, 2002, 9319, 17133, 1041, 1011, 5653, 11450, 2007, 1037, 2898, 2846, 1997, 6529, 1010, 17586, 1010, 1998, 8845, 1012, 2002, 2499, 2369, 1996, 5019, 2000, 5323, 1037, 7881, 2565, 2012, 1996, 5456, 2820, 1005, 1055, 2415, 2005, 1996, 14524, 1997, 2671, 1998, 3226, 1999, 5862, 1010, 2000, 2179, 1037, 2047, 2658, 3485, 1006, 7321, 1998, 2640, 1007, 1010, 1998, 2000, 10939, 1037, 2186, 1997, 9281, 1010, 1996, 2034, 2218, 2197, 2991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5958, 1010, 2233, 2382, 1010, 2289, 1996, 4751, 1997, 2148, 9424, 2395, 2005, 2070, 2051, 2085, 1010, 1045, 2031, 8615, 2008, 1996, 2047, 10342, 2380, 4803, 2006, 2148, 9424, 2395, 2052, 2022, 2714, 2000, 2116, 2047, 28244, 2328, 2058, 1996, 2086, 1012, 2612, 1997, 2108, 10305, 1010, 2007, 4599, 3564, 2157, 2091, 1999, 2392, 1998, 2058, 2327, 1996, 2492, 1010, 2066, 21792, 2243, 3346, 1010, 1996, 2047, 3608, 14432, 2052, 5245, 4599, 8736, 2185, 2013, 1996, 2895, 1012, 1998, 1010, 1996, 3020, 1037, 5470, 7719, 1010, 1996, 2867, 2298, 2062, 2066, 16111, 1999, 10947, 28244, 1012, 2017, 2453, 2004, 2092, 3422, 1996, 2208, 2006, 2694, 1012, 2202, 1037, 2298, 2012, 7349, 10288, 2492, 1999, 2455, 7840, 1012, 1996, 2200, 2034, 5216, 1997, 1996, 2327, 7563, 1997, 1996, 17461, 3346, 2003, 8736, 2185, 2084, 1996, 2197, 10281, 1997, 21792, 2243, 3346, 1005, 1055, 3356, 6561, 1012, 2498, 2768, 2041, 2062, 2012, 2047, 10342, 2380, 1010, 2076, 2026, 2797, 2778, 2023, 2627, 9857, 1010, 2084, 1996, 28398, 1997, 1996, 4272, 2000, 1996, 2652, 2492, 1012, 1999, 2755, 1010, 2096, 5557, 1010, 5205, 19833, 1998, 1045, 2768, 2006, 1996, 2364, 28571, 4193, 1996, 2896, 4605, 1010, 2057, 4340, 2008, 1996, 2200, 2197, 5216, 1999, 2392, 1997, 2008, 28571, 2003, 3553, 2084, 2073, 2057, 4133, 2012, 21792, 2243, 3346, 1999, 2930, 13710, 1006, 2057, 2024, 2423, 10281, 2013, 1996, 2492, 2012, 21792, 2243, 1007, 1012, 2130, 2062, 8052, 2020, 1996, 4272, 2006, 1996, 3356, 28571, 1012, 2074, 1037, 18783, 3193, 1011, 1011, 2559, 2157, 2041, 2058, 2327, 1997, 1996, 2492, 1012, 1996, 3356, 28571, 4272, 4133, 2066, 1037, 5016, 2152, 3242, 2067, 1010, 1998, 5328, 2024, 2498, 2460, 1997, 14726, 999, 999, 1045, 2356, 11688, 2358, 21716, 14376, 1010, 21210, 1997, 5215, 2810, 1998, 3026, 2622, 9133, 2005, 1996, 3346, 2622, 1010, 2129, 2521, 2001, 1996, 2200, 2197, 5216, 1010, 2152, 2039, 1010, 2369, 2188, 5127, 2013, 1996, 2492, 1029, 1000, 2055, 7558, 2519, 1010, 4873, 1999, 2008, 5101, 1012, 1006, 2129, 2515, 2008, 12826, 2000, 21792, 2243, 3346, 1011, 1011, 24829, 2546, 1029, 1007, 2055, 3998, 2519, 2005, 21792, 2243, 1012, 2062, 2084, 3807, 1996, 3292, 1012, 2023, 2003, 2005, 3598, 2069, 1012, 2017, 2071, 4906, 2023, 2047, 3608, 14432, 2503, 21792, 2243, 3346, 1012, 2023, 3346, 2003, 2200, 9233, 1012, 2009, 1521, 1055, 1037, 3835, 9621, 1010, 6549, 2135, 2049, 2183, 2000, 2022, 2200, 24820, 1012, 2023, 2003, 2183, 2000, 2022, 1037, 5189, 3346, 1012, 1996, 2701, 1999, 9233, 2640, 2003, 2183, 2000, 2562, 1996, 4599, 2039, 20464, 9232, 1012, 2049, 2183, 2000, 2022, 10990, 1012, 1045, 2113, 2009, 1012, 1000, 2130, 2007, 1996, 2380, 2108, 2330, 2000, 1996, 2041, 3790, 1010, 1996, 2614, 2097, 2145, 3961, 7567, 2503, 1029, 1011, 1011, 24829, 2546, 1523, 1045, 2903, 2061, 1010, 2428, 1012, 1000, 11688, 2003, 1996, 2391, 2158, 2005, 1996, 3346, 2810, 2622, 1012, 2002, 8480, 2006, 2609, 2169, 2851, 2012, 1019, 1024, 2321, 3286, 1010, 2116, 2420, 2025, 2975, 2127, 1021, 1024, 2382, 9737, 1012, 1998, 1010, 5887, 2998, 1998, 4024, 3237, 2472, 1010, 5297, 24992, 1010, 2052, 2025, 2031, 2579, 2006, 1996, 3608, 14432, 2622, 11361, 1010, 2065, 11688, 2001, 2025, 2551, 2007, 2032, 1012, 1000, 1045, 3404, 2032, 2000, 2131, 1996, 3105, 2589, 1012, 2002, 2038, 1037, 2307, 3086, 2000, 6987, 1010, 1000, 2056, 24992, 1012, 1000, 1045, 2359, 11688, 1010, 2061, 5215, 1006, 2810, 1007, 2165, 2032, 2125, 2178, 3105, 1012, 2002, 2081, 2469, 2057, 2288, 2589, 2006, 2051, 2012, 1996, 4680, 2415, 1012, 1045, 2031, 7023, 1999, 2032, 1012, 1037, 2307, 3124, 1012, 2009, 1521, 1055, 2524, 1010, 1037, 9694, 2622, 1010, 2017, 2031, 2000, 2022, 2583, 2000, 3404, 1996, 4364, 2008, 2147, 2005, 2017, 1012, 2065, 2025, 1010, 2498, 4152, 2589, 7919, 1012, 1000, 2151, 3160, 1045, 2356, 2006, 1996, 4601, 1010, 2199, 2835, 3608, 14432, 1010, 2358, 21716, 14376, 2018, 1996, 3437, 1012, 1000, 1996, 3252, 2003, 4201, 2041, 2023, 2126, 1010, 1000, 11688, 2056, 1012, 1000, 2896, 4605, 1010, 2007, 1996, 3484, 1997, 1996, 4272, 1006, 2570, 1010, 2199, 1007, 1012, 1996, 2034, 2930, 2058, 18003, 2075, 1996, 2364, 28571, 2003, 2252, 2504, 1012, 1996, 2930, 2682, 2008, 1010, 2007, 1037, 2613, 4857, 2316, 2090, 3798, 2003, 2036, 2252, 1010, 2021, 2170, 7621, 2504, 1012, 1996, 2279, 2930, 1010, 1996, 2330, 2181, 2090, 1996, 2152, 1998, 2659, 3653, 1011, 14542, 3798, 1517, 2008, 1521, 1055, 1996, 3356, 28571, 1010, 2896, 10747, 1998, 3020, 10747, 1006, 2260, 1010, 2531, 2561, 4272, 1007, 1012, 2061, 1010, 2017, 2031, 1019, 3798, 2561, 1010, 1998, 1996, 2811, 3482, 2006, 2327, 1997, 1996, 2067, 5423, 1997, 1996, 3356, 5877, 1012, 1996, 3284, 2930, 1997, 1996, 3346, 3632, 2013, 2034, 2918, 2000, 2353, 2918, 1012, 2021, 1010, 1996, 3356, 28571, 2515, 2031, 2048, 4520, 1997, 10747, 1010, 2896, 28571, 10747, 1998, 3356, 28571, 10747, 1012, 1999, 2757, 2415, 3790, 2097, 2022, 1037, 4825, 2007, 21976, 10747, 1999, 2392, 2005, 13497, 1997, 1996, 4825, 1012, 2035, 2115, 2152, 5090, 2013, 1996, 1999, 3790, 2013, 3083, 2000, 3822, 1010, 2006, 1996, 2117, 1998, 2353, 7563, 1010, 2003, 2073, 2035, 2115, 2769, 11717, 19796, 2024, 1012, 2027, 2097, 2022, 2200, 2092, 2805, 1012, 8058, 24835, 1010, 2035, 1996, 19870, 1998, 2019, 2330, 2250, 3110, 1012, 2111, 2024, 2183, 2000, 2066, 2216, 4272, 1012, 1000, 2747, 1996, 2896, 15220, 4568, 5509, 10747, 5090, 2024, 1999, 2173, 1012, 2061, 1045, 2356, 2129, 2116, 10281, 2097, 2022, 2794, 1999, 2392, 1997, 2216, 9530, 7913, 2618, 10906, 1029, 1523, 2216, 2024, 1996, 2006, 24170, 10747, 5090, 1010, 2055, 2184, 10281, 1012, 2216, 4272, 2097, 2022, 2794, 1010, 2021, 2027, 2024, 2025, 8332, 3653, 1011, 14542, 2066, 1996, 3484, 1997, 1996, 10747, 2752, 1999, 1996, 2364, 4605, 1012, 2673, 1999, 2392, 1997, 1996, 5509, 3653, 1011, 14542, 15834, 2000, 3963, 2519, 2003, 9663, 6039, 1998, 2006, 3694, 10747, 2045, 1012, 2055, 1017, 1013, 4343, 1997, 1996, 4272, 1999, 1996, 3346, 1010, 4599, 2097, 4607, 2013, 1996, 28571, 2504, 1998, 3328, 2091, 1012, 2008, 2097, 3499, 2005, 2111, 2000, 2693, 1999, 1998, 6164, 2428, 4248, 1012, 2009, 1521, 1055, 1037, 2428, 15708, 16437, 1012, 1000, 2144, 1996, 9663, 3694, 10747, 2003, 2025, 3653, 1011, 14542, 1010, 2003, 2009, 2825, 2027, 2097, 6073, 4352, 4599, 2000, 5376, 2039, 1998, 2091, 2066, 2006, 1996, 3822, 2918, 2217, 2012, 21792, 2243, 3346, 1005, 1055, 2896, 2504, 1029, 1000, 2025, 1996, 4272, 4193, 1996, 1999, 3790, 1010, 2021, 2057, 2079, 2031, 2054, 2057, 2024, 4214, 1523, 16361, 4272, 1524, 2008, 2024, 2108, 2081, 2926, 2005, 2008, 3800, 1012, 2027, 2031, 1037, 2843, 1997, 17880, 1998, 14067, 8277, 2005, 1996, 4599, 1012, 2216, 2097, 2022, 2058, 1996, 2187, 2492, 2813, 1012, 1524, 2065, 1045, 2572, 2012, 4480, 2924, 2380, 1999, 4407, 1998, 3061, 2006, 2037, 2364, 28571, 1010, 9343, 2242, 2013, 1037, 21431, 1010, 1045, 2064, 2145, 3422, 1996, 2208, 4415, 2349, 2000, 1996, 2330, 2791, 1997, 1996, 2380, 1012, 2097, 2008, 2022, 1996, 2168, 2182, 2006, 2148, 9424, 2395, 1029, 1523, 2057, 2097, 2031, 1996, 6635, 2168, 2518, 2182, 1012, 1998, 1010, 2017, 2097, 2022, 2583, 2000, 4521, 2115, 7954, 1010, 2096, 3061, 2012, 1037, 5808, 2152, 2795, 3495, 2369, 1996, 2197, 5216, 1997, 1996, 2364, 4605, 4272, 1010, 1998, 2145, 3422, 1996, 2208, 1012, 1524, 1006, 2061, 7295, 2050, 1998, 1045, 5281, 2023, 2012, 4480, 2924, 2380, 1998, 2057, 2371, 2009, 2001, 2028, 1997, 2087, 5470, 5379, 19870, 1997, 2008, 2358, 4215, 2819, 1011, 24829, 2546, 1007, 1523, 18676, 3886, 3233, 2039, 7251, 1010, 2027, 2097, 2022, 2092, 2109, 1012, 1000, 1996, 2364, 28571, 2003, 2898, 1010, 2025, 2066, 1996, 4857, 4867, 4996, 2012, 21792, 2243, 3346, 1012, 2006, 1996, 6058, 11418, 2015, 1997, 1996, 28571, 1996, 2833, 19753, 1010, 28663, 7340, 1998, 28942, 2024, 2108, 2872, 1012, 12109, 2833, 25568, 2097, 3614, 1996, 2503, 1997, 1996, 28571, 2369, 1996, 2197, 5216, 1997, 1996, 2896, 4605, 1998, 1996, 3233, 2039, 5808, 2152, 7251, 1012, 2021, 1010, 2074, 2000, 2022, 2469, 1010, 1045, 2356, 11688, 3251, 1996, 2833, 14927, 2005, 1996, 2779, 5470, 2008, 7459, 3598, 2097, 2022, 15184, 1029, 1000, 2216, 4599, 2097, 2031, 1996, 2168, 6695, 2004, 2151, 2060, 2711, 2008, 7365, 2046, 2023, 3346, 1012, 2017, 2145, 2031, 2000, 3477, 2005, 2115, 2219, 2980, 16168, 1012, 1998, 2009, 2763, 2180, 1521, 1056, 3465, 2004, 2172, 1010, 2005, 2469, 1006, 3071, 5870, 1007, 1012, 1996, 4825, 2041, 2182, 1006, 1999, 2415, 3790, 1007, 2097, 2087, 3497, 4287, 2116, 1997, 1996, 2168, 13258, 2004, 2017, 2064, 2424, 5973, 2842, 1006, 1999, 1996, 3346, 1007, 1012, 2296, 5470, 2097, 2031, 20851, 4495, 2000, 5959, 3209, 1999, 2116, 2367, 3971, 2182, 1012, 1000, 5170, 2396, 2378, 1010, 5297, 24992, 1005, 1055, 3353, 2013, 1996, 5887, 3366, 2278, 5598, 1999, 2000, 7615, 1024, 1000, 1996, 2779, 5470, 2097, 2022, 2062, 6625, 1010, 2065, 2025, 2004, 6625, 2004, 1996, 2152, 2203, 4599, 1012, 2023, 3346, 2097, 2031, 1037, 2843, 2000, 3749, 1012, 2023, 3346, 2003, 2183, 2000, 2022, 2200, 10305, 1010, 2200, 3835, 1012, 4599, 2024, 2183, 2000, 5959, 2746, 2182, 1012, 2057, 4716, 2471, 2296, 2309, 3346, 1006, 1999, 10901, 1007, 1012, 1996, 4944, 1998, 5297, 1521, 1055, 2136, 4716, 8990, 2296, 3346, 2008, 2001, 2328, 1999, 1996, 2627, 2184, 2086, 1012, 2061, 1010, 2057, 2031, 3856, 2039, 2035, 1996, 2190, 3787, 2013, 2216, 1012, 2012, 1004, 1056, 2380, 1999, 2624, 4557, 2080, 1998, 10556, 16093, 16715, 2319, 3346, 1999, 5111, 2103, 2020, 2048, 2008, 2057, 2766, 1037, 2843, 1997, 4784, 2013, 1012, 2119, 1997, 2216, 28244, 2020, 2328, 2011, 1996, 2168, 4944, 1006, 7570, 2243, 1007, 1012, 2074, 2066, 1999, 2624, 3799, 1010, 2030, 4407, 1517, 2017, 2064, 2079, 1996, 2168, 2518, 2182, 1010, 2096, 3061, 1999, 2240, 2005, 2833, 1010, 2980, 3899, 2030, 1037, 5404, 1012, 2017, 2064, 3422, 1996, 2208, 1010, 4089, 1012, 2017, 2097, 2025, 3335, 2505, 1012, 1000, 1999, 1996, 2364, 4605, 1997, 1996, 3346, 1010, 1996, 7497, 7626, 2024, 2525, 1999, 2173, 1012, 1998, 1010, 4760, 2129, 3935, 2810, 1010, 2074, 2066, 2673, 1999, 2166, 1010, 2038, 2468, 6082, 2349, 2000, 7588, 1010, 11688, 5720, 2055, 1996, 3346, 7497, 8370, 1012, 1000, 2035, 1996, 4597, 2006, 1996, 3346, 2024, 3653, 1011, 16984, 2011, 1037, 3274, 2000, 12342, 2091, 1999, 3056, 15764, 7516, 1012, 2045, 2323, 2022, 2053, 19158, 1997, 2151, 1997, 1996, 4597, 2320, 2027, 2024, 2275, 1999, 2173, 2006, 1996, 9761, 9285, 1012, 2169, 3632, 2000, 1037, 3563, 3962, 1999, 1996, 3346, 1010, 2013, 2049, 3265, 2422, 3578, 1012, 1045, 2031, 1037, 1002, 2322, 6655, 2007, 2026, 3751, 2937, 2008, 2242, 2097, 2031, 2000, 2022, 10426, 1010, 2021, 2002, 14306, 2015, 2033, 2008, 2097, 2025, 2022, 1996, 2553, 1012, 2057, 4618, 2156, 1012, 1000, 24829, 2546, 1517, 2061, 2157, 2085, 1010, 2004, 2057, 2298, 2012, 1996, 2422, 2525, 1999, 2173, 1012, 2027, 2097, 2196, 2031, 2000, 2022, 10426, 1029, 1523, 2008, 2003, 6149, 1012, 2673, 2057, 2079, 2085, 2003, 2589, 2011, 2122, 3274, 4275, 2008, 2941, 2024, 10155, 1999, 7605, 1012, 2049, 2170, 2019, 1523, 1060, 1524, 2944, 1012, 2035, 1996, 4751, 1998, 22354, 2024, 4201, 2046, 2023, 2944, 1012, 1996, 28547, 2064, 2191, 1996, 2345, 9560, 4312, 2017, 2215, 2009, 1012, 2059, 1010, 2320, 3071, 10217, 2006, 1996, 9646, 1010, 2059, 1996, 20273, 2074, 14616, 1037, 6462, 1998, 2035, 1996, 9254, 2707, 2746, 2041, 2013, 2008, 1012, 3251, 2009, 1521, 1055, 1996, 4597, 1010, 1996, 3886, 2147, 1010, 1996, 5509, 11073, 2015, 1010, 2049, 2035, 17463, 3217, 13113, 7583, 1012, 2057, 2202, 2216, 6140, 12166, 1998, 2175, 2013, 2045, 1012, 2045, 2003, 2053, 3984, 2147, 1012, 2009, 2003, 1037, 2200, 1010, 2200, 10539, 1998, 6581, 2565, 1012, 2045, 2038, 2042, 8990, 2053, 19037, 2007, 1996, 3886, 2147, 1012, 2027, 1006, 1996, 3274, 28547, 1007, 2106, 2019, 2307, 3105, 2007, 2009, 1012, 1000, 1006, 2138, 1997, 1996, 3274, 6140, 12166, 1010, 2038, 2008, 2081, 1996, 4389, 2537, 6134, 2062, 6133, 3085, 1029, 1011, 24829, 2546, 1007, 1000, 2130, 2007, 2256, 2200, 12479, 6134, 2182, 1010, 2057, 2031, 2042, 2583, 2000, 3113, 2296, 6134, 3357, 2302, 2151, 3471, 2012, 2035, 1012, 1000, 11688, 2506, 1024, 1000, 2122, 2422, 7626, 2272, 2035, 1996, 2126, 2000, 1996, 2203, 1997, 2169, 3358, 1997, 1996, 3346, 1012, 1998, 1010, 2028, 2422, 3578, 2169, 2097, 2022, 2872, 1999, 2157, 1998, 2187, 2492, 1012, 2157, 2085, 1010, 1996, 4145, 1997, 7497, 2003, 2000, 18478, 21961, 2422, 2046, 1996, 5101, 1012, 2061, 1010, 2673, 2003, 3459, 2091, 1012, 2017, 2024, 2428, 2025, 2183, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6586, 16049, 1998, 4118, 10735, 1996, 9161, 6586, 1997, 1996, 9353, 2854, 1999, 1996, 13838, 2166, 1997, 2358, 1012, 4118, 4173, 1010, 2517, 3202, 2044, 2010, 2331, 2011, 2028, 1997, 2010, 4056, 17102, 1010, 2358, 1012, 12790, 1997, 3653, 14540, 11431, 1010, 2009, 2003, 2517, 1024, 1000, 2006, 5340, 4465, 2002, 1006, 2358, 1012, 4118, 4173, 1007, 1010, 2750, 2010, 11251, 1010, 2234, 2046, 1996, 2277, 2073, 2035, 2010, 2111, 2020, 9240, 1012, 2044, 17727, 8445, 2075, 2010, 2345, 13301, 1010, 2002, 2056, 1024, 1000, 3422, 2007, 2033, 1010, 2026, 2336, 1010, 2127, 1996, 2353, 2154, 999, 1000, 2023, 2027, 2106, 1012, 2012, 6440, 1997, 1996, 2353, 2154, 2002, 2056, 1024, 1000, 2046, 2115, 2398, 1010, 1051, 2935, 1010, 1045, 4012, 3549, 2094, 2026, 3969, 999, 1000, 1006, 1048, 2243, 1012, 2603, 1024, 4805, 1007, 1010, 1998, 2002, 3062, 6680, 1999, 1996, 2608, 1997, 2010, 8656, 2006, 1996, 4369, 2154, 1997, 2258, 1010, 1999, 1996, 2353, 27427, 5480, 3508, 1010, 6191, 2683, 2509, 2013, 1996, 4325, 1997, 1996, 2088, 1000, 1006, 17917, 6137, 1010, 1021, 1011, 2184, 1007, 1012, 1999, 2060, 2616, 1010, 2358, 1012, 4118, 4173, 2351, 2006, 2258, 1020, 1010, 6070, 2629, 1037, 1012, 1040, 1012, 2023, 2095, 1997, 3106, 1010, 2059, 1010, 2057, 13415, 1996, 22096, 2705, 5315, 1997, 2010, 25020, 2331, 1012, 1996, 2171, 1997, 2358, 1012, 4118, 4173, 2003, 16021, 13699, 5400, 6321, 4198, 2007, 1996, 2171, 1997, 2010, 2567, 1010, 2358, 1012, 16049, 1012, 2027, 2119, 2024, 2310, 3678, 4383, 2362, 2004, 19178, 1997, 1996, 22889, 29553, 1010, 1998, 2027, 2119, 2020, 6150, 1999, 1996, 7584, 1997, 2256, 10748, 2000, 7988, 1012, 2256, 22949, 6038, 10748, 2020, 4991, 2000, 7988, 1999, 1996, 2117, 2431, 1997, 1996, 6619, 2301, 2011, 1996, 19178, 1997, 1996, 22889, 29553, 1010, 7020, 1012, 16049, 1998, 4118, 4173, 1010, 2077, 2027, 2318, 2037, 3297, 3260, 2426, 1996, 13838, 6946, 1997, 2307, 26821, 9035, 1012, 2007, 7988, 1010, 1996, 4151, 3428, 7531, 2256, 10748, 2046, 2037, 3376, 8734, 22889, 11431, 12356, 14034, 1998, 2716, 2068, 2046, 1996, 10336, 1997, 13838, 3226, 1012, 2074, 2135, 2059, 2057, 2310, 3678, 3686, 2068, 2004, 2256, 13838, 19178, 1998, 5089, 1012, 1996, 14508, 1997, 2256, 13838, 19178, 2001, 1996, 2103, 1997, 1996, 11488, 7811, 5555, 1010, 1996, 3007, 2103, 1997, 1996, 13037, 2874, 1997, 1996, 8734, 3400, 1012, 1996, 2269, 1997, 7020, 1012, 16049, 1998, 4118, 4173, 2001, 1037, 2152, 5464, 2961, 1999, 1996, 8734, 2390, 1012, 2002, 2001, 1997, 3306, 6934, 1012, 2174, 2037, 2388, 1010, 2984, 1010, 1999, 2035, 9723, 1010, 2001, 1997, 13838, 4182, 1012, 6516, 2119, 4124, 2057, 19056, 2007, 1996, 13838, 4416, 2144, 5593, 1012, 2076, 1996, 5964, 2301, 2070, 13838, 6946, 3876, 1999, 11492, 1010, 2437, 1996, 2972, 2874, 9197, 13838, 1012, 1996, 13037, 22889, 29553, 2020, 2574, 3017, 3550, 2011, 2122, 3306, 11743, 1998, 3970, 1996, 6244, 4752, 1012, 2358, 1012, 4118, 4173, 1010, 3005, 18336, 2389, 2171, 2001, 2745, 1010, 2001, 2141, 1999, 6282, 2629, 1037, 1012, 1040, 1012, 2010, 3920, 2567, 12790, 1010, 2488, 2124, 2011, 2010, 3412, 2171, 1010, 16049, 1010, 2001, 2141, 2055, 2702, 2086, 2101, 1012, 2027, 2119, 3273, 2012, 1996, 4461, 2082, 1997, 11776, 1010, 2073, 2035, 1996, 2336, 1997, 1996, 3020, 4461, 4584, 2363, 2037, 3935, 2495, 1012, 2358, 1012, 4118, 4173, 1010, 2124, 2004, 1037, 2204, 8911, 1010, 2150, 1996, 3099, 1006, 24665, 1012, 7905, 2239, 1007, 1997, 1996, 2358, 2854, 8202, 2212, 1997, 11492, 1012, 2358, 1012, 16049, 1010, 1037, 12785, 6288, 1010, 5071, 1037, 4252, 2695, 2012, 1996, 4461, 2082, 1012, 3859, 2044, 1010, 2358, 1012, 16049, 2001, 9492, 14845, 1998, 2001, 18011, 2007, 2070, 9313, 14799, 2011, 1996, 12626, 26841, 1010, 2164, 1037, 8041, 3260, 2000, 1996, 22733, 1997, 4524, 14697, 1999, 5594, 2487, 1037, 1012, 1040, 1012, 2074, 2055, 2008, 2051, 2358, 1012, 4118, 4173, 1010, 5458, 1997, 2536, 2880, 20014, 22934, 1998, 9981, 3111, 1010, 3394, 2000, 1996, 6408, 2006, 11047, 1012, 26742, 1999, 2011, 15222, 6200, 1010, 4021, 3576, 1012, 2045, 2002, 2363, 2010, 3412, 2171, 4118, 4173, 1012, 3859, 2044, 2010, 17361, 6197, 5397, 1010, 2002, 2001, 2700, 6020, 1997, 1996, 2168, 6408, 1012, 2104, 1996, 3747, 1997, 2358, 1012, 4118, 4173, 1010, 2358, 1012, 16049, 2036, 2787, 2000, 7323, 1037, 3412, 2126, 1997, 2166, 1998, 2587, 2010, 2567, 2012, 1996, 6408, 2006, 11047, 1012, 26742, 1012, 2021, 2077, 2635, 3412, 6197, 5397, 1010, 2002, 2001, 11908, 2011, 2010, 2280, 2934, 1010, 12626, 6887, 4140, 4173, 1010, 2000, 2599, 1037, 8041, 3260, 2000, 1996, 1047, 3270, 9057, 2015, 2006, 1996, 25893, 2712, 1012, 2023, 2051, 2358, 1012, 16049, 2036, 2165, 2010, 2567, 4118, 4173, 2007, 2032, 1012, 2044, 1037, 2200, 3144, 3260, 2000, 1996, 17737, 11650, 1006, 5594, 2683, 1011, 6486, 2487, 1007, 1010, 2358, 1012, 4118, 4173, 2513, 2000, 2010, 6408, 2006, 11047, 1012, 26742, 1010, 2096, 2358, 1012, 16049, 5071, 1037, 2597, 2004, 1037, 4695, 2934, 1999, 11776, 1012, 1999, 1996, 2621, 1997, 6564, 2475, 1037, 1012, 1040, 1012, 1010, 1996, 28131, 3159, 9350, 19834, 7303, 2008, 1996, 8734, 3750, 2745, 3523, 4604, 2070, 8734, 11743, 2000, 26821, 9035, 1000, 2000, 4863, 2000, 2149, 1996, 3017, 23019, 1999, 2256, 2219, 2653, 1012, 1000, 2044, 6608, 1996, 4707, 2007, 3159, 9350, 19834, 1010, 1996, 3750, 2787, 2000, 4604, 1996, 2048, 8696, 3428, 1010, 7020, 1012, 16049, 1998, 4118, 4173, 1010, 2040, 2525, 4928, 2037, 8696, 8066, 1998, 2020, 5220, 2007, 1996, 13838, 2653, 1998, 8205, 1012, 2358, 1012, 16049, 1010, 2040, 2001, 2028, 1997, 1996, 2190, 22978, 2015, 1997, 2010, 2051, 10395, 2034, 2000, 17202, 1037, 13838, 12440, 1006, 1000, 17207, 8569, 2912, 1000, 1007, 1998, 2059, 1010, 2007, 1996, 2393, 1997, 2010, 2567, 4118, 4173, 1010, 2002, 8979, 2000, 17637, 1996, 4151, 21176, 1998, 5896, 11137, 15324, 1006, 1996, 4958, 28738, 1998, 24131, 1007, 2046, 1996, 22889, 11431, 12356, 2653, 1012, 7020, 1012, 16049, 1998, 4118, 4173, 2211, 2037, 8696, 4990, 1999, 1996, 3500, 1997, 6564, 2509, 1037, 1012, 1040, 1012, 1010, 5153, 2046, 8581, 8063, 1010, 2073, 8734, 11743, 2020, 2525, 9359, 7988, 1012, 2006, 2037, 4990, 2000, 26821, 9035, 1996, 4151, 3428, 8979, 2247, 1996, 22320, 2050, 2314, 2000, 1996, 2167, 2121, 2112, 1997, 8063, 1010, 2073, 2027, 3832, 2000, 3582, 1996, 2061, 1011, 2170, 5474, 2799, 1010, 7176, 2256, 5474, 7134, 1997, 13955, 5302, 7352, 2232, 2007, 2430, 2885, 1010, 2035, 1996, 2126, 2000, 26821, 9035, 1998, 16799, 1012, 2642, 8063, 2001, 1010, 2012, 2008, 2051, 1010, 2525, 10357, 2011, 2256, 10748, 1010, 2040, 2020, 5451, 2011, 2037, 2219, 12000, 1010, 14622, 1996, 7643, 10514, 6290, 22325, 2100, 1012, 2027, 10357, 2119, 3903, 1997, 1996, 22320, 2050, 2314, 1010, 1998, 2037, 2455, 3668, 2784, 2046, 2556, 2154, 20816, 1998, 5872, 1012, 7020, 1012, 16049, 1998, 4118, 4173, 3858, 1996, 14099, 3012, 1997, 1996, 2653, 1998, 8205, 1997, 2256, 10748, 1998, 2170, 1996, 2455, 1011, 1054, 15006, 1010, 1045, 1012, 1041, 1012, 22949, 1005, 1012, 2947, 2256, 10748, 2211, 2000, 2655, 3209, 22949, 2072, 19962, 2100, 1006, 2336, 1997, 22949, 1005, 1007, 1010, 22949, 24300, 1006, 6310, 2011, 3763, 1999, 22949, 6038, 2015, 1007, 1012, 2383, 3369, 1999, 1996, 2455, 1997, 2256, 10748, 1010, 2029, 2027, 2170, 1011, 22949, 1005, 1010, 7020, 1012, 16049, 1998, 4118, 4173, 2020, 2025, 2583, 2000, 3613, 2037, 4990, 2000, 26821, 9035, 2138, 1997, 1996, 15139, 5274, 1012, 2061, 2027, 2815, 2426, 2256, 22949, 6038, 10748, 2127, 1996, 2621, 1997, 6564, 2549, 1037, 1012, 1040, 1012, 1010, 17979, 2000, 2068, 1996, 8036, 1997, 4828, 1012, 2947, 1010, 2090, 6564, 2509, 1011, 6564, 2549, 1037, 1012, 1040, 1012, 1010, 2256, 10748, 2150, 3017, 3550, 2011, 1996, 19178, 1997, 1996, 22889, 29553, 1010, 1998, 2211, 2000, 7425, 26668, 2643, 1999, 2256, 3376, 6244, 4535, 1010, 2021, 1999, 2049, 22889, 11431, 12356, 2433, 2008, 2001, 5319, 2130, 2011, 1996, 3722, 2111, 1012, 3773, 1996, 2307, 3112, 1997, 2037, 3260, 2426, 2256, 10748, 1010, 7020, 1012, 16049, 1998, 4118, 4173, 3024, 2068, 2007, 2037, 2219, 3387, 1998, 4072, 8656, 1012, 2085, 2057, 2064, 3305, 2339, 12626, 6887, 4140, 4173, 2525, 1999, 6564, 2581, 1037, 1012, 1040, 1012, 1010, 1999, 2010, 4372, 5666, 20464, 7476, 3661, 2741, 2000, 1996, 2789, 12626, 2015, 1010, 6727, 2068, 2055, 1996, 3144, 3260, 2426, 1996, 1054, 15006, 2111, 1010, 2040, 2025, 2069, 2150, 5379, 2646, 2011, 13471, 16398, 1010, 2021, 2036, 2038, 1000, 3970, 1037, 3387, 1998, 8656, 1000, 2013, 2032, 1010, 4760, 1000, 2307, 27838, 2389, 2005, 1996, 3017, 4752, 1000, 1006, 12935, 1012, 19117, 2638, 1010, 6477, 8649, 2401, 24665, 6679, 3540, 1010, 5285, 1012, 9402, 8902, 1012, 6421, 2575, 1011, 22061, 1007, 1012, 1996, 1000, 1054, 15006, 2111, 1000, 1006, 1000, 22949, 6038, 2015, 1000, 1007, 1010, 3855, 2011, 12626, 6887, 4140, 4173, 1010, 2020, 2256, 10748, 1012, 2947, 1010, 2256, 10748, 2363, 7988, 2077, 7020, 1012, 16049, 1998, 4118, 4173, 2584, 1996, 2307, 28131, 2110, 1010, 1998, 1010, 2012, 1996, 2168, 2051, 1010, 2363, 2037, 2219, 6244, 3387, 2013, 11776, 1012, 6854, 1010, 6887, 4140, 4173, 2106, 2025, 5254, 2010, 2171, 1012, 1996, 3260, 1997, 7020, 1012, 16049, 1998, 4118, 4173, 1999, 26821, 9035, 2001, 2200, 3144, 1998, 2027, 5161, 1037, 2307, 2193, 1997, 13838, 11743, 1999, 2037, 8696, 2082, 1999, 2310, 2571, 13492, 2094, 1012, 2426, 2037, 2493, 2020, 1037, 2307, 2193, 1997, 2256, 22949, 6038, 3360, 1010, 2040, 2101, 2513, 2000, 2037, 10759, 1998, 3668, 2037, 8696, 2147, 2130, 2000, 2060, 22949, 6038, 6946, 1999, 8581, 19017, 1998, 1010, 2776, 1010, 1999, 12100, 2319, 22949, 1005, 1012, 7020, 1012, 16049, 1998, 4118, 4173, 2363, 1996, 6226, 1997, 4831, 7918, 2462, 2005, 2037, 3260, 2426, 1996, 13838, 7243, 1999, 6564, 2683, 1012, 2006, 2008, 6686, 1996, 4831, 2036, 4844, 1996, 2224, 1997, 1996, 22889, 11431, 12356, 2653, 1999, 1996, 4151, 21176, 1012, 2076, 1996, 2061, 23099, 6826, 1997, 1996, 4151, 3428, 1999, 4199, 1010, 2358, 1012, 16049, 2351, 2006, 2337, 2403, 1010, 6564, 2683, 1037, 1012, 1040, 1012, 1010, 1998, 2001, 3950, 2007, 2307, 19487, 3012, 1999, 1996, 13546, 1997, 2358, 1012, 12223, 1012, 4831, 7918, 2462, 2059, 9492, 2358, 1012, 4118, 4173, 3387, 1998, 2805, 2032, 1037, 12156, 4190, 3686, 2005, 1996, 13838, 7243, 1012, 2021, 1996, 19192, 2594, 11743, 1010, 2040, 2013, 1996, 2200, 2927, 4941, 13838, 11743, 1999, 26821, 9035, 1010, 8243, 2358, 1012, 4118, 4173, 2006, 2010, 2709, 2013, 4199, 1010, 1998, 2921, 2032, 1999, 3827, 2005, 2471, 2093, 2086, 1012, 2027, 2207, 2032, 2069, 2006, 1996, 8830, 1997, 4831, 2198, 9937, 1012, 2021, 2574, 2044, 2010, 2713, 1996, 2446, 8414, 2320, 2153, 5496, 2358, 1012, 4118, 4173, 1997, 28354, 1010, 1996, 2149, 3126, 24952, 2239, 1997, 7905, 1011, 9134, 3691, 1010, 1998, 1996, 1000, 9446, 3560, 2224, 1997, 1996, 13838, 2653, 1000, 1999, 1996, 21176, 1012, 11908, 2000, 4199, 1999, 26839, 1037, 1012, 1040, 1012, 1010, 2358, 1012, 4118, 4173, 5985, 2370, 2077, 4831, 2198, 8890, 1012, 1996, 4831, 2025, 2069, 4844, 1996, 8696, 2147, 1997, 2358, 1012, 4118, 4173, 2426, 1996, 22889, 29553, 1010, 2021, 2036, 28667, 2239, 23141, 1996, 2224, 1997, 1996, 8734, 1011, 22889, 11431, 12356, 21176, 1012, 2383, 1037, 26563, 10698, 3508, 1997, 2010, 8455, 2331, 1010, 2358, 1012, 4118, 4173, 2805, 2004, 2010, 6332, 2028, 1997, 2010, 2087, 5214, 17102, 1010, 3387, 26967, 26494, 1012, 2021, 2574, 2044, 2010, 2331, 1010, 3387, 15536, 8450, 1997, 9152, 6494, 24748, 7228, 2000, 4199, 1998, 1010, 2383, 16158, 2070, 8995, 5491, 1010, 10572, 4831, 4459, 6819, 2000, 7065, 11045, 26967, 26494, 1005, 1055, 6488, 1998, 2000, 16823, 2032, 1010, 15536, 8450, 1010, 2132, 1997, 1996, 28131, 4956, 2874, 1010, 2761, 4114, 2011, 2358, 1012, 4118, 4173, 2007, 2698, 10514, 4246, 28905, 5927, 1012, 15536, 8450, 1010, 2635, 2104, 2010, 2491, 1996, 12301, 3821, 1997, 2307, 26821, 9035, 1010, 10890, 1996, 8734, 14034, 1998, 22889, 11431, 12356, 21176, 1010, 1998, 2357, 2114, 1996, 17102, 1997, 7020, 1012, 16049, 1998, 4118, 4173, 1012, 2116, 1997, 2068, 2020, 23995, 1025, 2500, 2020, 2853, 2046, 8864, 1025, 2145, 2500, 2018, 2000, 10574, 1996, 2406, 1012, 2009, 2001, 2012, 2023, 2051, 2008, 2116, 22949, 6038, 17102, 2513, 2013, 26821, 9035, 2000, 1996, 2455, 1997, 2256, 10748, 1012, 1996, 2709, 1997, 1996, 17102, 2061, 8734, 3234, 2277, 1999, 1996, 26349, 2555, 2008, 2256, 8414, 2020, 2583, 2000, 4604, 2037, 11743, 2000, 2060, 13838, 6946, 1997, 2789, 2885, 1012, 2144, 2256, 10748, 7900, 2119, 1996, 6244, 4752, 1998, 2037, 13838, 3226, 1006, 12440, 1010, 2517, 2653, 1998, 2808, 1007, 2013, 7020, 1012, 16049, 1998, 4118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 22118, 2158, 2018, 4156, 9735, 2000, 1996, 4465, 11326, 1997, 1996, 2047, 13132, 3185, 1010, 2007, 1996, 4671, 3800, 1997, 5008, 2039, 1996, 3185, 4258, 1010, 2056, 4614, 1012, 20819, 2003, 1037, 2373, 2171, 1010, 1998, 2009, 2003, 1999, 20819, 2406, 1010, 5284, 1010, 2073, 2023, 2825, 2047, 3185, 4808, 2471, 4158, 1012, 2156, 2062, 2055, 1996, 2627, 2824, 1999, 20819, 2221, 1010, 6751, 1010, 2182, 1012, 2065, 2009, 2001, 2025, 2005, 2019, 9499, 2388, 3967, 2075, 1996, 2610, 1010, 1037, 10576, 2453, 2022, 2054, 2057, 2052, 2022, 3752, 2055, 2085, 1012, 7680, 7849, 6026, 2054, 2334, 2865, 2988, 1010, 1038, 2721, 8586, 16983, 16862, 1010, 2322, 1010, 1997, 22118, 1010, 2003, 5338, 2007, 2034, 1011, 3014, 6101, 1010, 2437, 1037, 9452, 2594, 5081, 1998, 4273, 4735, 2895, 1012, 2002, 2001, 21278, 1999, 20819, 2221, 2006, 1002, 3156, 1010, 2199, 5416, 1012, 1012, 1012, 1012, 2010, 2388, 11925, 4614, 9432, 1010, 3038, 2016, 5191, 2008, 2007, 2023, 5353, 1005, 1055, 3098, 1997, 1996, 2345, 2143, 1999, 1996, 2759, 4393, 3185, 2186, 1010, 2014, 2365, 1000, 2089, 2031, 11174, 1997, 5008, 2111, 2012, 1996, 3185, 1010, 1000, 2610, 2626, 1999, 1996, 15596, 3426, 4861, 1012, 2016, 2056, 2016, 2245, 1996, 4255, 1517, 2048, 6101, 9494, 1998, 5606, 1997, 10432, 1517, 15881, 2216, 2109, 2011, 1037, 3282, 2386, 2040, 2441, 2543, 2503, 1037, 4258, 1999, 13158, 1010, 8902, 2080, 1012, 1010, 2076, 1996, 6745, 8942, 3185, 1999, 2251, 1012, 2008, 2886, 2730, 2260, 2111, 1012, 16983, 16862, 2001, 8781, 9432, 5027, 1998, 2409, 4614, 2002, 4149, 9735, 2000, 1037, 4465, 13132, 11326, 1999, 22118, 1998, 3740, 2000, 5607, 2111, 2503, 1996, 4258, 1012, 1996, 2237, 1997, 5560, 2184, 1010, 2199, 2111, 2003, 2055, 7558, 2661, 4643, 1997, 5111, 2103, 1012, 2429, 2000, 1996, 15596, 3426, 4861, 1010, 16983, 16862, 2036, 3740, 2000, 1000, 2074, 2707, 5008, 2111, 2012, 6721, 1000, 2012, 1037, 24547, 22345, 3573, 2625, 2084, 1037, 3542, 2185, 1012, 2002, 2056, 2002, 1005, 1040, 4156, 2048, 6101, 9494, 1998, 4278, 6241, 1997, 9290, 1010, 1998, 2065, 2002, 2743, 2041, 1997, 10432, 1010, 2002, 2052, 1000, 2074, 3338, 1996, 3221, 2073, 1996, 9290, 2003, 2108, 8250, 1998, 2131, 2070, 2062, 1998, 2562, 5008, 2127, 2610, 3369, 1010, 1000, 14766, 2626, 1012, 16983, 16862, 2001, 5411, 2012, 1996, 12728, 3298, 1011, 1999, 2012, 24837, 2148, 10493, 3927, 1010, 22118, 1010, 5284, 1010, 1998, 2356, 2000, 2272, 2000, 2610, 4075, 2005, 11242, 1012, 2009, 2001, 2045, 1010, 2096, 2108, 10263, 1010, 2008, 2002, 4484, 2010, 5436, 1012, 16983, 16862, 3090, 2002, 2359, 2000, 17079, 1037, 24547, 22345, 7904, 2000, 2331, 1998, 2628, 2019, 7904, 2105, 1037, 24547, 22345, 3573, 2077, 3738, 2288, 2920, 1999, 2268, 1010, 2429, 2000, 2610, 1012, 2043, 2356, 2055, 3522, 5008, 2015, 1999, 1996, 2739, 1010, 16983, 16862, 2409, 2610, 1000, 2002, 2018, 1037, 2843, 1999, 2691, 2007, 1996, 2111, 2008, 2031, 2042, 2920, 1999, 2216, 5008, 2015, 1010, 1000, 1996, 15596, 3426, 4861, 2056, 1012, 14766, 2036, 2626, 2008, 16983, 16862, 2056, 2002, 1000, 2001, 4251, 1010, 2785, 1997, 1037, 10459, 2099, 1010, 2018, 3728, 4156, 13780, 1998, 2134, 1005, 1056, 2425, 10334, 2055, 2009, 1010, 1998, 2018, 7570, 7712, 16975, 4301, 1012, 1000, 2335, 1011, 2586, 22118, 2003, 1997, 3907, 1998, 3009, 7321, 1010, 1998, 2965, 1000, 10478, 1010, 2162, 10359, 1012, 1000, 1996, 2103, 1997, 22118, 1010, 5284, 1010, 2001, 2315, 2005, 22118, 1010, 5298, 1010, 2188, 2000, 2116, 1997, 1996, 2434, 22118, 1010, 5284, 7322, 1010, 1998, 2066, 2008, 2103, 2049, 2171, 2003, 8793, 2000, 20622, 2007, 6291, 1012, 22118, 2003, 2315, 2044, 1996, 2148, 2137, 3439, 3275, 1010, 4079, 22118, 1010, 2040, 2001, 9919, 3449, 5622, 8296, 26467, 1006, 1996, 5622, 5677, 8844, 1007, 1012, 11370, 4372, 3211, 2332, 7009, 1024, 1000, 1037, 2350, 26351, 2718, 2003, 1996, 2052, 1011, 2022, 13108, 1005, 1055, 2034, 2171, 1010, 1038, 2721, 8586, 1010, 2029, 2003, 2019, 2394, 2171, 3574, 2304, 2030, 2317, 1012, 2010, 11988, 1010, 16983, 16862, 1010, 12153, 2013, 1996, 2352, 1997, 18832, 2015, 2030, 16983, 9335, 1999, 7735, 1012, 2508, 9106, 2363, 1996, 8367, 1005, 1996, 2222, 8067, 1005, 2044, 12040, 3436, 1037, 6302, 1031, 3491, 2682, 1033, 1997, 2370, 8521, 1037, 2222, 8067, 2007, 2010, 2118, 4646, 1012, 1000, 2445, 1996, 8015, 1997, 1996, 26351, 8093, 16940, 10074, 5213, 5975, 2008, 2031, 7065, 2121, 5677, 4383, 2013, 1996, 2251, 3742, 5008, 2015, 2012, 1037, 4760, 1997, 1996, 2601, 5000, 9466, 1999, 13158, 1010, 5169, 1006, 5169, 1027, 2417, 1010, 13158, 1027, 6440, 1007, 1010, 3383, 2582, 4106, 2003, 1999, 2344, 2004, 1996, 2713, 3058, 1997, 1996, 2047, 2417, 6440, 4367, 3861, 8107, 1012, 1996, 2755, 2008, 2178, 1523, 6440, 1524, 2143, 1010, 1996, 13132, 12312, 1024, 4911, 6440, 1516, 2112, 1016, 1010, 7480, 2625, 2084, 1037, 2733, 2077, 2417, 6440, 2003, 5115, 2000, 2718, 12117, 3849, 3278, 1010, 1998, 3640, 1037, 2173, 2000, 2707, 1012, 6440, 1027, 13158, 1010, 1998, 13158, 2038, 8385, 3491, 2039, 1999, 26351, 2015, 2144, 1996, 5169, 5008, 10576, 1012, 1006, 1041, 1012, 1043, 1012, 1010, 1045, 4384, 2008, 3516, 1005, 1055, 19318, 6100, 11266, 5696, 4074, 3903, 1005, 2280, 5039, 2001, 13515, 13158, 2380, 4418, 1010, 1998, 1045, 3603, 3859, 2077, 1037, 3742, 5008, 2012, 1037, 12403, 1999, 5273, 2008, 2045, 2003, 1037, 12403, 2012, 1996, 2380, 8232, 20052, 9106, 2170, 1996, 13158, 1012, 1007, 5875, 2135, 1010, 13158, 8385, 3065, 2039, 6974, 1011, 1999, 2632, 15869, 3906, 1012, 2004, 4441, 17195, 17649, 3964, 1999, 1523, 1005, 2023, 3959, 2003, 2035, 26445, 4757, 10009, 1005, 1024, 10396, 11604, 1010, 8101, 1005, 1055, 2632, 15869, 10576, 1524, 1024, 6440, 1010, 13158, 1999, 3763, 1010, 6454, 13087, 1996, 2537, 1997, 1996, 2417, 9543, 14890, 2030, 9667, 1005, 1055, 2962, 1999, 2195, 15326, 2015, 2802, 1996, 2381, 1997, 2632, 5403, 8029, 1010, 2005, 6013, 1999, 1996, 6122, 2301, 13158, 9530, 26210, 21230, 7108, 2000, 2726, 1037, 12519, 3022, 1010, 21037, 2079, 6826, 1005, 1055, 13158, 6316, 19137, 8458, 20527, 1006, 1039, 1012, 16734, 2629, 1007, 1010, 8863, 2139, 11409, 8322, 4904, 1005, 1055, 1048, 1005, 8740, 29165, 2063, 1998, 1048, 1005, 26445, 2139, 1048, 1005, 8740, 29165, 2063, 1006, 2220, 5550, 2301, 5796, 2015, 1010, 2405, 1999, 3301, 1010, 2156, 11409, 8322, 4904, 3301, 1007, 2030, 11498, 29109, 13203, 1005, 1055, 1006, 2012, 18886, 2497, 1012, 1007, 11498, 29109, 13203, 2010, 13158, 1010, 1004, 8813, 1997, 1996, 17586, 1006, 28288, 1007, 1012, 1996, 2632, 15869, 2832, 2064, 2022, 3714, 2091, 2046, 2093, 2350, 6194, 1024, 9152, 17603, 3527, 1006, 19573, 1007, 1010, 2632, 28759, 1006, 2317, 2791, 1007, 1010, 1998, 14548, 26010, 1006, 2417, 2791, 1007, 1012, 2093, 3152, 1010, 2093, 2632, 15869, 24884, 1012, 2009, 2003, 2051, 2000, 10667, 2005, 26351, 2015, 1012, 9152, 17603, 3527, 1010, 1996, 3988, 2754, 1997, 1996, 2632, 15869, 2832, 1010, 24501, 21149, 2015, 2007, 1996, 2601, 5000, 9466, 1012, 1996, 2632, 24229, 4269, 2010, 2969, 1011, 8651, 2012, 2023, 2391, 1010, 1998, 11340, 1037, 2146, 2601, 2305, 1006, 5000, 1007, 1997, 1996, 3969, 1012, 2632, 24229, 2015, 5482, 1996, 10000, 2007, 9152, 17603, 3527, 1010, 2021, 1037, 7151, 2052, 4025, 2000, 2022, 2019, 6413, 3233, 1011, 1999, 1012, 1999, 2023, 2754, 1010, 1996, 5110, 2543, 2003, 2785, 3709, 2011, 1996, 4646, 1997, 6327, 2543, 1012, 2023, 2003, 19639, 2000, 1996, 3988, 2754, 1997, 2789, 17529, 2147, 1010, 2043, 1996, 28919, 9305, 5498, 2943, 2003, 8878, 1998, 4269, 2049, 16354, 1012, 2009, 2003, 4276, 9073, 2008, 2508, 9106, 1005, 2690, 2171, 1010, 19413, 5289, 1010, 2965, 1523, 15443, 1010, 1524, 1998, 2008, 1037, 9252, 2543, 24692, 1037, 2311, 2055, 2531, 4210, 2013, 9106, 1005, 4545, 1037, 2261, 3134, 2044, 1996, 4258, 5008, 1012, 2632, 28759, 1006, 2317, 2791, 1007, 2003, 1996, 2117, 2350, 2754, 1997, 1996, 2632, 24229, 1005, 1055, 2307, 2147, 1012, 1999, 2023, 2754, 1010, 3287, 1998, 2931, 2024, 2142, 1010, 1998, 1996, 2014, 2863, 8458, 14127, 18291, 3267, 1997, 2158, 2003, 3858, 1012, 2023, 5121, 24501, 21149, 2015, 2007, 1996, 13132, 12312, 1024, 4911, 6440, 1516, 2112, 1016, 1010, 2004, 1999, 1996, 2706, 2877, 2039, 2000, 1996, 2143, 1005, 1055, 2713, 1010, 13132, 1005, 1055, 8958, 3232, 22435, 5954, 1998, 2728, 22732, 15551, 3631, 2039, 1998, 11653, 2046, 1010, 2004, 1996, 13761, 23848, 2015, 2360, 1010, 1523, 6487, 16173, 1012, 1524, 1996, 2317, 2791, 1997, 2632, 28759, 2003, 11013, 2011, 1996, 2627, 2100, 2317, 28838, 2015, 1997, 1996, 4393, 3494, 1010, 1998, 1996, 26351, 8093, 20936, 10074, 3973, 3278, 2755, 2008, 22435, 5954, 3728, 6791, 4586, 2317, 1999, 4586, 2317, 1998, 1996, 28526, 2386, 1012, 1999, 2019, 4357, 1010, 4586, 2317, 2472, 14641, 12055, 1010, 2007, 3183, 2009, 3544, 5954, 2018, 1037, 4766, 6771, 1006, 1037, 2466, 2008, 4207, 19377, 2007, 1996, 13158, 5008, 1999, 2251, 1007, 1010, 2018, 2023, 2000, 2360, 2055, 5954, 1024, 2632, 24229, 2015, 3378, 1996, 10677, 2007, 2632, 28759, 1012, 1999, 1996, 13132, 3152, 1010, 22435, 5954, 3248, 1037, 2839, 2315, 12101, 10677, 1012, 2036, 3378, 2007, 2632, 28759, 2003, 1996, 3142, 7804, 13158, 1012, 1996, 2353, 1998, 2345, 2632, 15869, 2754, 2003, 14548, 26010, 1010, 1996, 2417, 4181, 2075, 2832, 2029, 2003, 3421, 2011, 1996, 6708, 1010, 1998, 2023, 4403, 2003, 3378, 2007, 15218, 1012, 2096, 1996, 2601, 5000, 9466, 1998, 1996, 13132, 12312, 1024, 4911, 6440, 1516, 2112, 1016, 2024, 1996, 2345, 3152, 1999, 2037, 22506, 1010, 2417, 6440, 2003, 1037, 12661, 1010, 2030, 15218, 2065, 2017, 2097, 1010, 1997, 1037, 3118, 2143, 2007, 1996, 2168, 2516, 1012, 1999, 2119, 4617, 1010, 4750, 1523, 12281, 1524, 18445, 1996, 2142, 2163, 1012, 5875, 2135, 1010, 1996, 2434, 2143, 2956, 1037, 2839, 2170, 4327, 12101, 1010, 1037, 9642, 2961, 1010, 1998, 1996, 12661, 3340, 3782, 19610, 12255, 1010, 2040, 5652, 2007, 22435, 5954, 1999, 4586, 2317, 1998, 1996, 28526, 2386, 1012, 28779, 11608, 11859, 1037, 1523, 2417, 6440, 2724, 1524, 2004, 1523, 1037, 19199, 24491, 1997, 4895, 27753, 23393, 3085, 2925, 9646, 1012, 1524, 1996, 13158, 10576, 2001, 2028, 1012, 2453, 2057, 2156, 2500, 2043, 1996, 13158, 1011, 24501, 7856, 3436, 4911, 6440, 1516, 2112, 1016, 1998, 2417, 6440, 2024, 2207, 1029, 1996, 2262, 2713, 1997, 2417, 6440, 2003, 5115, 2005, 2281, 2538, 1012, 2023, 3058, 2097, 2928, 1996, 6227, 4859, 5315, 1997, 2028, 1997, 3163, 1005, 1055, 1523, 6703, 14803, 1010, 1524, 2029, 5121, 3849, 23504, 1012, 2009, 2097, 2036, 2022, 1996, 5798, 1997, 18936, 3410, 6554, 24404, 2078, 1010, 2040, 2680, 1996, 3299, 2201, 6554, 24404, 2078, 1010, 2332, 1997, 1996, 18936, 1012, 2195, 3162, 3233, 2041, 2004, 2108, 3278, 1012, 1996, 2034, 2299, 1010, 1523, 10424, 11012, 3709, 2227, 1998, 3492, 22688, 1010, 1524, 24501, 21149, 2015, 2007, 13158, 1010, 5169, 1012, 1006, 10424, 11012, 4244, 2024, 3378, 2007, 2417, 2606, 1010, 1998, 2508, 9106, 28432, 2010, 2606, 2417, 2077, 1996, 2886, 1025, 1037, 13852, 1523, 2450, 1999, 1037, 2417, 4377, 1524, 1006, 2040, 1045, 2031, 3114, 2000, 2903, 2001, 1037, 2158, 1999, 8011, 1010, 2021, 2004, 2000, 2360, 2023, 3265, 2003, 3811, 5507, 8004, 6313, 2052, 2022, 2019, 2104, 9153, 18532, 4765, 1010, 1045, 2097, 2025, 5254, 2010, 2171, 1007, 2596, 2012, 1037, 2508, 9106, 4994, 2007, 1037, 11867, 13669, 1997, 2630, 10557, 1012, 1007, 2650, 2809, 2003, 1996, 12403, 1011, 24501, 7856, 3436, 1523, 15820, 1005, 1055, 4186, 1997, 5760, 2293, 1998, 4344, 25101, 21881, 1012, 1524, 1996, 19318, 3310, 2000, 2568, 2007, 1996, 2201, 1005, 1055, 2345, 2299, 1010, 1523, 5292, 5292, 1012, 1524, 2004, 2281, 2538, 2003, 1996, 6227, 4859, 5315, 1997, 1037, 1523, 6703, 4465, 1010, 1524, 26351, 8093, 16940, 10074, 1523, 7961, 1524, 4487, 25572, 4570, 2635, 1037, 2485, 2298, 2012, 3162, 3157, 1998, 2048, 1012, 2122, 2024, 1523, 5610, 2100, 3137, 11762, 1524, 1998, 1523, 2045, 1005, 1055, 2062, 2000, 1037, 11762, 1010, 1524, 4414, 1010, 1998, 1996, 15192, 4323, 6017, 1037, 3622, 26351, 2718, 1012, 2004, 1996, 12613, 2632, 15869, 2543, 3123, 2023, 2095, 1010, 1998, 2004, 16978, 8369, 2041, 2408, 1996, 2455, 1010, 2028, 10459, 14045, 11762, 11114, 2091, 2013, 2006, 2152, 2588, 1996, 2668, 1011, 13077, 3011, 1012, 2008, 2003, 1010, 2127, 2010, 17128, 10047, 5302, 13490, 8590, 2032, 2046, 1037, 18204, 5610, 2100, 11762, 1012, 1045, 2572, 7727, 2000, 1996, 2110, 4189, 1997, 3146, 1005, 14430, 4720, 3329, 6231, 2502, 16060, 1010, 2029, 2001, 3908, 2011, 2019, 5992, 2543, 1999, 2255, 1012, 1996, 2543, 2318, 1999, 2502, 16060, 1005, 1055, 3329, 1010, 1998, 3123, 2127, 1996, 6231, 15881, 1037, 17266, 3089, 8873, 13247, 15536, 9102, 2158, 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, 2011, 5199, 17163, 6657, 2243, 2011, 7648, 14163, 14191, 2368, 11998, 2121, 2011, 7648, 14163, 14191, 2368, 11998, 2121, 2011, 1055, 1012, 6643, 5558, 2102, 2011, 5199, 17163, 6657, 2243, 2011, 5199, 17163, 6657, 2243, 2011, 7648, 14163, 14191, 2368, 11998, 2121, 3516, 1005, 1055, 9609, 2375, 16171, 4480, 2000, 5589, 1999, 2231, 1012, 2426, 2060, 2477, 1996, 11671, 27206, 2015, 2700, 4584, 2013, 9139, 10537, 3314, 1998, 25979, 2008, 6867, 2270, 4697, 1996, 7832, 1997, 2925, 6295, 1012, 2107, 2330, 2791, 2003, 6450, 1012, 1996, 2103, 1997, 5631, 2985, 1002, 4464, 2487, 1010, 25103, 1997, 26457, 1005, 2769, 2197, 2095, 2000, 4748, 16874, 5562, 1999, 2334, 6399, 1012, 1996, 2375, 2987, 1005, 1056, 5478, 6867, 2000, 2270, 4697, 2296, 6987, 1997, 2296, 3116, 1012, 5262, 1996, 3894, 2103, 1005, 1055, 6111, 1010, 2761, 4844, 1999, 4885, 1010, 4473, 2700, 4584, 2000, 1011, 1011, 1999, 3132, 6214, 1011, 1011, 3789, 2006, 6094, 2302, 5083, 2270, 17423, 1012, 2011, 21991, 1037, 2061, 1011, 2170, 4979, 8875, 1010, 1037, 5849, 2064, 2655, 2005, 1037, 3789, 2006, 2019, 3277, 7539, 1997, 3251, 4480, 2031, 2042, 18921, 9028, 7228, 1012, 2023, 6453, 2001, 3832, 2000, 3499, 4177, 2000, 4769, 2197, 1011, 3371, 3471, 1012, 1996, 6111, 3227, 6537, 2169, 5849, 1998, 1996, 3664, 2000, 2028, 4979, 8875, 2566, 3116, 1012, 2103, 3208, 6221, 5233, 14238, 1006, 2040, 2001, 5045, 2197, 2733, 2011, 3664, 3533, 8594, 4135, 1007, 2003, 3039, 2048, 1012, 2011, 21248, 1010, 2151, 5849, 2064, 3796, 6594, 2005, 2195, 2420, 2030, 3134, 1012, 4979, 1011, 8875, 9384, 14900, 2020, 8371, 1999, 2687, 2004, 2112, 1997, 1996, 23902, 2013, 1996, 7897, 20488, 1997, 2280, 2103, 3208, 14923, 21045, 2080, 1998, 5849, 4679, 4830, 26291, 7076, 1012, 1999, 2281, 2687, 5849, 4300, 17170, 2571, 3818, 1037, 9095, 2008, 1996, 2103, 3208, 3319, 1998, 16755, 1010, 1999, 3015, 1010, 2035, 4979, 5167, 2007, 5166, 5649, 4254, 1012, 2348, 1996, 5468, 2165, 3466, 3202, 1010, 2009, 2018, 2053, 4091, 1012, 2069, 2044, 2254, 1015, 1010, 2456, 1010, 2052, 10482, 6591, 2031, 2000, 3477, 21892, 2039, 2000, 1002, 3156, 1012, 3288, 2039, 1996, 3395, 1997, 4979, 5167, 2007, 5126, 2012, 5631, 2103, 2534, 1010, 1998, 2116, 9131, 1996, 2793, 24431, 3066, 1012, 1999, 2727, 2280, 5849, 1998, 7979, 10768, 7811, 14910, 21201, 13688, 3818, 1996, 2103, 3477, 1037, 2194, 1010, 2029, 2001, 3421, 2011, 2195, 12396, 1005, 2576, 13675, 10698, 2229, 1010, 8817, 1997, 6363, 2000, 15653, 1996, 2103, 1005, 1055, 11669, 2006, 3448, 3145, 1012, 13688, 7864, 1996, 3206, 2004, 1037, 4979, 8875, 2105, 7090, 1010, 2043, 1996, 4378, 2001, 20288, 1012, 2009, 2979, 15645, 1012, 2048, 2086, 2101, 1010, 2574, 2044, 2002, 2001, 2805, 2000, 2010, 3105, 1010, 5631, 3664, 3533, 8594, 4135, 6884, 1996, 2103, 2052, 4558, 2055, 1002, 7558, 2454, 2006, 1996, 3206, 1998, 2699, 2000, 4654, 12412, 3686, 2009, 2013, 1996, 3066, 1012, 1996, 2832, 8011, 2015, 2006, 2651, 1012, 2750, 1996, 29308, 5981, 2058, 2793, 24431, 1010, 1996, 3218, 1997, 24156, 2135, 21991, 4979, 5167, 4247, 1012, 2012, 2560, 4090, 2335, 2076, 2639, 1010, 2823, 2062, 2084, 2320, 2566, 3116, 1010, 12396, 4846, 1996, 3218, 2000, 5547, 2103, 9883, 1010, 20634, 2270, 6363, 2646, 9004, 3934, 1010, 1998, 14300, 2060, 21068, 4490, 1012, 1006, 3452, 1996, 3222, 27195, 2098, 2000, 20637, 4979, 5167, 1999, 2639, 1012, 1007, 1996, 3841, 12879, 24108, 5134, 1997, 2023, 3627, 1011, 14457, 5681, 2020, 2700, 4584, 1005, 9228, 1012, 1000, 1996, 3124, 2040, 2003, 3909, 1999, 2013, 2041, 1997, 2237, 2987, 1005, 1056, 2131, 1037, 4979, 8875, 1010, 1000, 17170, 2571, 2758, 1012, 1000, 2009, 6433, 2000, 1996, 2576, 25297, 2015, 1012, 1000, 2426, 1996, 2087, 1041, 17603, 11411, 2271, 1024, 13041, 1037, 12074, 3206, 2000, 1996, 5631, 3684, 3455, 2136, 2000, 2380, 3765, 1998, 8946, 6242, 2379, 1996, 2047, 2137, 7608, 5196, 1025, 9602, 1002, 5539, 1010, 2199, 2646, 1996, 1997, 2102, 1011, 8394, 10525, 1997, 2210, 15278, 1005, 1055, 3578, 4258, 1025, 10439, 18981, 4360, 3436, 1002, 4720, 1010, 2199, 2005, 10315, 2000, 1996, 3361, 26821, 4757, 1997, 3016, 12792, 2380, 1025, 1998, 8184, 16401, 3033, 1997, 12170, 13013, 22929, 2380, 2046, 1037, 5581, 2843, 1012, 1999, 2070, 3572, 12396, 3530, 2000, 2122, 19006, 2015, 2138, 2009, 2001, 1999, 2037, 3037, 2000, 2079, 2061, 1025, 2065, 2027, 3789, 2005, 1037, 11729, 1005, 1055, 4979, 8875, 1010, 2008, 11729, 2097, 3497, 2709, 1996, 5684, 1012, 2103, 4905, 4074, 23840, 16230, 2080, 2003, 3825, 2011, 1996, 3222, 1010, 2061, 2009, 2003, 1999, 2010, 5684, 2000, 2292, 1996, 3314, 7358, 1012, 1998, 5233, 14238, 27481, 2015, 27455, 1996, 3627, 2003, 2025, 2010, 5368, 1012, 2061, 2521, 2023, 2095, 12396, 2031, 20703, 2098, 2013, 4911, 1996, 7816, 1012, 4905, 1998, 2451, 7423, 4907, 2703, 2758, 4979, 5167, 2089, 2022, 6206, 1012, 2002, 2323, 2113, 1024, 1999, 3890, 2002, 3271, 4339, 1996, 27647, 2221, 6111, 1010, 2029, 2443, 4979, 1011, 8875, 4781, 2714, 2000, 5631, 1005, 1055, 1012, 1000, 1996, 9609, 2375, 5942, 1996, 11376, 2022, 2589, 1999, 5083, 1998, 2008, 2673, 2000, 2022, 6936, 1999, 1996, 3116, 2022, 2872, 2006, 1996, 11376, 1010, 1000, 2703, 2758, 1012, 1000, 2053, 3160, 1012, 1031, 4979, 5167, 1033, 2024, 2763, 1037, 11371, 1997, 1996, 2375, 1012, 1000, 2065, 2017, 2903, 2103, 5491, 1010, 5849, 17170, 2571, 3728, 6439, 1996, 2200, 4979, 1011, 8875, 3627, 2002, 11886, 1012, 2023, 2627, 2255, 2656, 17170, 2571, 3818, 1010, 1998, 2010, 8628, 4844, 1010, 2019, 14477, 2094, 16874, 5084, 5813, 4352, 1996, 5631, 3684, 2000, 2224, 2270, 2455, 2000, 2380, 3765, 1998, 8946, 6242, 2379, 1996, 2137, 7608, 5196, 1012, 1996, 3247, 3024, 1996, 2136, 2007, 1996, 3382, 2000, 2191, 1037, 29369, 5618, 2013, 26980, 1011, 3079, 2455, 1012, 1996, 5401, 1010, 2199, 2675, 1011, 3329, 12859, 1999, 3160, 1010, 2006, 20377, 3540, 9654, 8459, 2090, 12170, 13013, 22929, 2380, 1998, 11265, 5964, 2395, 1010, 2122, 2420, 2003, 5129, 2011, 1037, 7842, 12588, 4677, 13767, 8638, 1012, 2066, 2151, 2060, 4704, 2843, 1010, 2009, 2003, 3561, 2007, 28962, 1010, 15729, 16295, 1010, 1998, 20777, 1012, 2197, 2991, 1010, 2206, 3082, 19670, 2011, 1996, 3684, 1010, 17170, 2571, 3818, 1996, 2206, 1024, 10084, 1996, 3200, 2000, 1996, 3455, 2136, 2005, 2093, 2086, 2012, 1002, 25108, 2566, 3204, 1010, 1998, 9146, 8274, 15093, 1999, 2019, 5516, 4049, 7540, 1012, 1996, 3684, 2052, 5247, 1002, 5174, 1010, 2199, 2006, 8377, 7478, 2013, 28007, 1998, 28404, 2000, 26296, 1996, 2712, 2813, 1012, 1996, 2136, 2036, 2052, 2507, 1996, 2103, 2809, 3867, 1997, 1996, 8946, 4270, 1012, 2138, 17170, 2571, 3591, 1996, 3066, 1006, 2029, 2001, 13630, 2011, 23840, 16230, 2080, 1007, 2004, 1037, 4979, 8875, 1010, 2045, 2001, 2053, 5083, 5060, 1999, 6399, 1012, 1996, 2069, 2266, 1997, 1996, 2270, 2040, 3764, 2001, 3684, 2343, 6108, 2892, 1012, 1996, 3820, 2979, 15645, 1012, 1037, 4248, 4106, 1997, 1996, 3616, 3849, 2000, 5769, 1996, 3684, 2363, 2916, 2000, 1996, 13285, 5581, 7258, 1998, 3943, 4049, 17433, 2005, 2521, 2625, 2084, 2027, 2020, 4276, 1012, 2065, 1996, 2136, 5571, 1996, 1002, 2423, 5581, 7408, 2008, 2003, 6303, 2011, 2060, 2181, 7167, 2043, 2824, 2024, 5115, 1010, 2009, 2071, 2191, 1002, 11212, 2692, 2566, 2305, 1012, 2144, 3098, 1996, 5196, 2038, 9813, 2055, 7093, 2399, 1998, 2060, 3821, 2566, 3204, 1012, 10262, 1996, 2843, 2064, 2022, 3561, 2007, 3765, 1010, 1996, 3684, 2064, 2735, 1037, 1002, 23785, 1010, 2199, 3296, 5618, 1012, 2478, 1996, 2168, 17568, 1010, 1996, 8946, 4270, 10951, 2071, 5020, 2055, 1002, 24125, 1010, 2199, 2566, 2095, 1012, 4401, 2066, 4907, 2703, 2360, 2023, 4979, 8875, 7534, 2048, 3471, 4661, 1996, 3768, 1997, 2270, 26828, 1024, 1006, 1015, 1007, 4584, 2106, 2025, 2404, 1996, 3206, 2041, 2000, 7226, 1010, 3568, 2027, 2106, 2025, 6855, 1996, 2190, 3066, 2005, 26457, 1025, 1998, 1006, 1016, 1007, 4584, 24156, 2135, 3903, 2618, 11469, 1037, 2375, 2170, 1996, 8594, 4135, 7450, 1010, 2029, 5942, 1037, 3789, 2011, 1996, 6926, 2854, 2006, 2224, 1997, 3016, 12792, 2455, 1012, 2027, 2106, 2061, 2011, 5815, 1037, 4650, 2008, 4473, 1996, 2103, 2000, 24104, 1996, 2455, 2007, 2382, 2420, 5060, 1012, 17170, 2571, 28049, 7206, 2020, 2025, 6727, 1012, 2009, 2323, 2025, 2031, 2042, 2680, 2004, 1037, 4979, 8875, 1010, 2002, 9909, 1010, 9177, 1996, 17397, 2001, 5500, 2000, 2010, 12746, 1010, 5233, 14238, 1010, 1998, 2103, 7805, 4787, 22277, 2386, 1999, 2051, 2000, 2022, 2443, 2006, 1996, 11376, 1012, 2002, 20427, 1996, 3768, 1997, 4772, 2004, 1000, 2019, 3831, 1043, 15909, 2818, 1012, 1000, 22277, 2386, 11936, 17170, 2571, 1005, 1055, 4070, 1012, 1996, 5849, 7864, 1996, 2933, 2205, 2397, 2000, 2022, 6267, 2006, 2008, 3116, 1005, 1055, 11376, 1012, 1000, 2009, 2001, 1999, 2755, 1037, 4979, 8875, 1010, 1000, 2002, 2758, 1012, 2012, 1037, 3522, 3222, 3116, 1010, 2044, 2047, 2335, 24849, 2055, 1996, 3066, 1010, 17170, 2571, 2356, 2010, 8628, 2000, 6134, 2062, 2270, 6594, 2005, 2238, 1019, 1012, 2013, 1996, 2648, 2210, 15278, 1005, 1055, 3578, 4258, 3544, 2004, 2009, 2106, 1999, 2049, 4931, 10259, 1012, 1996, 2048, 1011, 2466, 2311, 2006, 25430, 5964, 2395, 1998, 16249, 3927, 2441, 1999, 4881, 1012, 2043, 9642, 27127, 3369, 1999, 1996, 4120, 1010, 5608, 2211, 4760, 3009, 1011, 2653, 3152, 1998, 4942, 21309, 2394, 5691, 2045, 1012, 1996, 5988, 2701, 1999, 3118, 2044, 2172, 1997, 2049, 7396, 12260, 2333, 2000, 1996, 9435, 1012, 1999, 2857, 1037, 16839, 9080, 12863, 5631, 3222, 4844, 1037, 1002, 1015, 1012, 1019, 2454, 6418, 1997, 1996, 3185, 2160, 2008, 2027, 5113, 2052, 7901, 1996, 26118, 1997, 2210, 15278, 1005, 1055, 2364, 2395, 1012, 2044, 2195, 2086, 1997, 4041, 1010, 1996, 23222, 2633, 2165, 2173, 1999, 2238, 2722, 1012, 2012, 1996, 2724, 5849, 12675, 21279, 9365, 3764, 1997, 3773, 2010, 2034, 2143, 2045, 1012, 15631, 2623, 3488, 2000, 2128, 26915, 2009, 2011, 2621, 2687, 1012, 2009, 2052, 2421, 1037, 6694, 1011, 2835, 4258, 2007, 2048, 12117, 1998, 1037, 2688, 27696, 1996, 5101, 1005, 1055, 11560, 2381, 1012, 1999, 3054, 1011, 2258, 1996, 9203, 2317, 2396, 21933, 9388, 4226, 2063, 1998, 14921, 13856, 1996, 5631, 6696, 2143, 2782, 4081, 1996, 2173, 2001, 2330, 2005, 2449, 1012, 2021, 1037, 19043, 2083, 1996, 3221, 4303, 3936, 2317, 3681, 19773, 1997, 4840, 6773, 1998, 6065, 14666, 18737, 2013, 1996, 5894, 1012, 2069, 2810, 3667, 2020, 3039, 2000, 4607, 1012, 1996, 2882, 3098, 1997, 1996, 4096, 3578, 2396, 2415, 1010, 14475, 3365, 2335, 2076, 1996, 2627, 2093, 2086, 1010, 2001, 5115, 2000, 2202, 2173, 2258, 2484, 1012, 2021, 2044, 1996, 6918, 2824, 24135, 2105, 12005, 2319, 10121, 1010, 2009, 2001, 2153, 8394, 2127, 2258, 2654, 1012, 2067, 1999, 2251, 2687, 1996, 3222, 5444, 2000, 4651, 1037, 1002, 4278, 1010, 2199, 2110, 3946, 1011, 1011, 4540, 10665, 2098, 2005, 2614, 3941, 1998, 1037, 16427, 3233, 1011, 1011, 2000, 3477, 2005, 2311, 10525, 1012, 2006, 2285, 2459, 1010, 2639, 1010, 1996, 4306, 2001, 4857, 2012, 4596, 3145, 2043, 21279, 9365, 2234, 2039, 2007, 1037, 4979, 8875, 2008, 2052, 6366, 1002, 5539, 1010, 2199, 2013, 2103, 2522, 12494, 2015, 2000, 4965, 7492, 1998, 2019, 23713, 3669, 10803, 2291, 1012, 1000, 1996, 3578, 4258, 2038, 2018, 1037, 2843, 1997, 3471, 1010, 2004, 2017, 2035, 2113, 1010, 1000, 1996, 5849, 4541, 1012, 1000, 1045, 2481, 1005, 1056, 2131, 1031, 2023, 3277, 1033, 2006, 1996, 11376, 1010, 1998, 2270, 2573, 2038, 2525, 4453, 1996, 3120, 1997, 1996, 4804, 1012, 2065, 2057, 2020, 2000, 2173, 2009, 2006, 1996, 3180, 11376, 2005, 2279, 3204, 1010, 1996, 3098, 2052, 2025, 2022, 2583, 2000, 2022, 2589, 1999, 2233, 1010, 2021, 2672, 1999, 2258, 2030, 2089, 1012, 1000, 10452, 5849, 5206, 2663, 2669, 2356, 3251, 1996, 3447, 11763, 1996, 4804, 1012, 21279, 9365, 4660, 2008, 2103, 3208, 6221, 5233, 14238, 2018, 6749, 1996, 20700, 2285, 2410, 1012, 1996, 5813, 2979, 15645, 1012, 21279, 9365, 2056, 5233, 14238, 2356, 2032, 2000, 2556, 1996, 20700, 2000, 1996, 3222, 1012, 1000, 1045, 1005, 2310, 2042, 6183, 1996, 3447, 2000, 3143, 1996, 3578, 4258, 2005, 2706, 1010, 1000, 1996, 5849, 7034, 1012, 1000, 2045, 2001, 2053, 7897, 2182, 1012, 1000, 2750, 1996, 2755, 2008, 1996, 6378, 2777, 1996, 3661, 1997, 1996, 2375, 1010, 2009, 3084, 4401, 13675, 23496, 1012, 1000, 2009, 1005, 1055, 1037, 3143, 2203, 2448, 2105, 1996, 9609, 2375, 1010, 1000, 4905, 4907, 2703, 17612, 2015, 1012, 1000, 2045, 2001, 2053, 4495, 2000, 17908, 2023, 1998, 2045, 2001, 2053, 4495, 2000, 3713, 2005, 2030, 2114, 2023, 1012, 1000, 1998, 2009, 24899, 2178, 3291, 1024, 2700, 4584, 6524, 4119, 8628, 1005, 4979, 5167, 2005, 3571, 1997, 3974, 2490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 3343, 4219, 1011, 2739, 1004, 4106, 1011, 2115, 2110, 4717, 3220, 2006, 2233, 1020, 1010, 2294, 1011, 2260, 1024, 4229, 9737, 6928, 1010, 2233, 5757, 1010, 2294, 1999, 2651, 1005, 1055, 18365, 1024, 3239, 2006, 7521, 1024, 2613, 2110, 7300, 1999, 1996, 2197, 2261, 3134, 1010, 1996, 5981, 2006, 7521, 2038, 9685, 2039, 1012, 2130, 2004, 2070, 2110, 22680, 2408, 1996, 2406, 2031, 6406, 8236, 2000, 8579, 2091, 2006, 25672, 24894, 14088, 7489, 1010, 1996, 7185, 1997, 3050, 3349, 2170, 2005, 27818, 1996, 2529, 2916, 1997, 7489, 1998, 1996, 2530, 11141, 2142, 1999, 2490, 1997, 7411, 1037, 2120, 4113, 7309, 2565, 1010, 8358, 2006, 2029, 2024, 3755, 2119, 2011, 2343, 5747, 1998, 2011, 10153, 5817, 1998, 19186, 1012, 1998, 1996, 10028, 1011, 25022, 2080, 3237, 2473, 2023, 2197, 2733, 3843, 1037, 4861, 9177, 2008, 2130, 4113, 7309, 3454, 2052, 2074, 3443, 2019, 6151, 6633, 10085, 23671, 1010, 2048, 1011, 7563, 2098, 2554, 1011, 1011, 1998, 2008, 1996, 2613, 5576, 2000, 7521, 2001, 5290, 1997, 4450, 4277, 2000, 2203, 1996, 14427, 1010, 2119, 1999, 1996, 2149, 1998, 6931, 1010, 2008, 16171, 11194, 14763, 1997, 7489, 1999, 1996, 2034, 2173, 1012, 2004, 1996, 5981, 5829, 2830, 1999, 1996, 2163, 1010, 22680, 1998, 11141, 2408, 1996, 2406, 2227, 1037, 3601, 1024, 9979, 6555, 6043, 2008, 2097, 12992, 12678, 2005, 2137, 3667, 1998, 9611, 1996, 7117, 5320, 1997, 7521, 2030, 5454, 3478, 4603, 7047, 2008, 2097, 3298, 1996, 3291, 2041, 1011, 1997, 1011, 4356, 2302, 13729, 2009, 1012, 8650, 4450, 2916, 2005, 2035, 3667, 2045, 2024, 2613, 3343, 15955, 1012, 1037, 2193, 1997, 2163, 2031, 3858, 2008, 2738, 2084, 2582, 16385, 18516, 11560, 3667, 1999, 1996, 5230, 4610, 1010, 1037, 2488, 5576, 2003, 2000, 2203, 1996, 18077, 3512, 3785, 2008, 2191, 14763, 2896, 1011, 3825, 7489, 2061, 8702, 2005, 12433, 1999, 1996, 2034, 2173, 1012, 2074, 2048, 3134, 3283, 1010, 2047, 2259, 1005, 1055, 3284, 2457, 5451, 2008, 3228, 25672, 24894, 14088, 3667, 5229, 2012, 2147, 1996, 2157, 2000, 9790, 12433, 2005, 9430, 2001, 1037, 10232, 3343, 2005, 27455, 4450, 2916, 1998, 28283, 4892, 7521, 1012, 1996, 3768, 1997, 4450, 2916, 2011, 25672, 24894, 14088, 7489, 1000, 2052, 2625, 2368, 1996, 4895, 11020, 21531, 16203, 11194, 1005, 1055, 4022, 14000, 2000, 2049, 7344, 3667, 1998, 2191, 2009, 2062, 13732, 8702, 2000, 10887, 25672, 24894, 14088, 12114, 1010, 1000, 2056, 3648, 3848, 1037, 1012, 22160, 7959, 2080, 3015, 2005, 1996, 3484, 1010, 1998, 1000, 2052, 2941, 3623, 6107, 3798, 1997, 25672, 24894, 14088, 12114, 1010, 2025, 9885, 2009, 1012, 1000, 2023, 3343, 1997, 16003, 25672, 24894, 14088, 3667, 1005, 3423, 2916, 2003, 1999, 2240, 2007, 2163, 2066, 2662, 1010, 2029, 2979, 24829, 12094, 1999, 2526, 2000, 21358, 27972, 2008, 2035, 4450, 28548, 2024, 2800, 2000, 2151, 7904, 1000, 7539, 1997, 7521, 3570, 1012, 1000, 2096, 2116, 3128, 3667, 3571, 7489, 2024, 4439, 2091, 12678, 1999, 6088, 2008, 2027, 4607, 1010, 1996, 2190, 2126, 2000, 4652, 2023, 11897, 6245, 2013, 6230, 2003, 2025, 2000, 16385, 1996, 7489, 2021, 2000, 12919, 2037, 2916, 1012, 2004, 1996, 2152, 2457, 1999, 2047, 2259, 13155, 1010, 1996, 6428, 1996, 2916, 1997, 1996, 7489, 1010, 1996, 2625, 3497, 12433, 2097, 25174, 11897, 4781, 2005, 2035, 3667, 1012, 7458, 7521, 2012, 1996, 3120, 1024, 3424, 1011, 7518, 22231, 2361, 6094, 4821, 1010, 2004, 1996, 10028, 1011, 25022, 2080, 2056, 1999, 2037, 4861, 2197, 2733, 1010, 1000, 2151, 14874, 5576, 2000, 2023, 5325, 2442, 4769, 1996, 4436, 2339, 2111, 2024, 2746, 2000, 1996, 1057, 1012, 1055, 1010, 1000, 2164, 3119, 1998, 2458, 6043, 2008, 2123, 1005, 1056, 12919, 4450, 28548, 1998, 11897, 3798, 1999, 7489, 1005, 2188, 3032, 1012, 1998, 2004, 5076, 29276, 1997, 1996, 3171, 3343, 2820, 2038, 6851, 1010, 1000, 2144, 6583, 6199, 2050, 1005, 1055, 12149, 1999, 2807, 1011, 1011, 5262, 1010, 2005, 1996, 2322, 2086, 1997, 9253, 29521, 21673, 1005, 5290, 1005, 1011, 1011, 1996, 4916, 2690, 2465, 2038, 14021, 15532, 2243, 1998, 1996, 2193, 1997, 3532, 2038, 4423, 1012, 1012, 1012, 2061, 1996, 17192, 9230, 4247, 1012, 1000, 2096, 2163, 3685, 2689, 3119, 3343, 1010, 2027, 2079, 2031, 1996, 2373, 2083, 2037, 2219, 13131, 6567, 2000, 2393, 2203, 1996, 3795, 7518, 22231, 4523, 2008, 3298, 25672, 24894, 14088, 7521, 1012, 2662, 1010, 4307, 1010, 7081, 1010, 2047, 3933, 1010, 2047, 2259, 1010, 3552, 1010, 2247, 2007, 8442, 3655, 1010, 5721, 1998, 2082, 4733, 1010, 2031, 2904, 2037, 21423, 6043, 2000, 7221, 2231, 17402, 2013, 16728, 20084, 7587, 1011, 3858, 4450, 2916, 1012, 2023, 2197, 2733, 1010, 1996, 3099, 1997, 7081, 1010, 2198, 13852, 6305, 6895, 1010, 3390, 1037, 4119, 2000, 2010, 3507, 11141, 2000, 3693, 1037, 4800, 1011, 2110, 3099, 1005, 1055, 6056, 2005, 7518, 23301, 21423, 1998, 3667, 2916, 2000, 12919, 8822, 1997, 4450, 3785, 1997, 16728, 2109, 2011, 2163, 1012, 2007, 2163, 1998, 2334, 6867, 13131, 1002, 4278, 4551, 1999, 5350, 1998, 2578, 1010, 1037, 9053, 6056, 1997, 2163, 2071, 2377, 1037, 14255, 5737, 3406, 2140, 2535, 1999, 5278, 7518, 22231, 4523, 2119, 2012, 2188, 1998, 6917, 1998, 4526, 2613, 2146, 1011, 2744, 7300, 2000, 1996, 3785, 4439, 7521, 1012, 3478, 2157, 9328, 7300, 5171, 1997, 1996, 3424, 1011, 7489, 4491, 2003, 1037, 2047, 6378, 1999, 4108, 10743, 2000, 28283, 25672, 24894, 14088, 7521, 2008, 2038, 2035, 1996, 4540, 27373, 1997, 3478, 4603, 3343, 1011, 1011, 2009, 16385, 2229, 3265, 7489, 2096, 2725, 2498, 2000, 2203, 1996, 14427, 2008, 3084, 15440, 25672, 24894, 14088, 7489, 2061, 8702, 2000, 5661, 1012, 1996, 4108, 3021, 1010, 2066, 28684, 6632, 2099, 8236, 1999, 2060, 2163, 1010, 4165, 7823, 1024, 5661, 2064, 2022, 16981, 2005, 14763, 25672, 24894, 14088, 7489, 2030, 6380, 2270, 8311, 2065, 2027, 2079, 2061, 1010, 2021, 2004, 2146, 2004, 2019, 11560, 2038, 1037, 8275, 6254, 1010, 1996, 11194, 3685, 2022, 18476, 3550, 1012, 1998, 16728, 2040, 2224, 4942, 8663, 6494, 24817, 2478, 25672, 24894, 14088, 7489, 2052, 2022, 2125, 1996, 8103, 2004, 2092, 1010, 2750, 1996, 2755, 2008, 4121, 11578, 2066, 24547, 1011, 20481, 2224, 10785, 2122, 9887, 2000, 4468, 14000, 1012, 2061, 1996, 3021, 2003, 11868, 3238, 1999, 16385, 2075, 2216, 2040, 18077, 7489, 1012, 2498, 1999, 1996, 3021, 4337, 2015, 1996, 2449, 3785, 2008, 2599, 2000, 18077, 2075, 2659, 1011, 3825, 25672, 24894, 14088, 3667, 1012, 1996, 3021, 2038, 2053, 7823, 6675, 7285, 1997, 1996, 6263, 11897, 1010, 1997, 3808, 3785, 2012, 2147, 1010, 2030, 2151, 2060, 9347, 2000, 2203, 1996, 5230, 4610, 1997, 14427, 2008, 14172, 1996, 5157, 2005, 2062, 2659, 1011, 3825, 11560, 4450, 1012, 1996, 2069, 2613, 12408, 1999, 1996, 3021, 2024, 2005, 1996, 7489, 3209, 1010, 2164, 16039, 2087, 6001, 2966, 2729, 1012, 1998, 2096, 1996, 3021, 13162, 2758, 2009, 2097, 3828, 2270, 5029, 1010, 1037, 2843, 1997, 11572, 2228, 4728, 2144, 2009, 2074, 2965, 2027, 1005, 2222, 2022, 4760, 2039, 1999, 5057, 4734, 2612, 1997, 2893, 16269, 4652, 3512, 2729, 1012, 2471, 3156, 2111, 2351, 1999, 2384, 2667, 2000, 2892, 1996, 3675, 2000, 2424, 2147, 1999, 1996, 2149, 1012, 2065, 2047, 7489, 2024, 5627, 2000, 3891, 2331, 2000, 2272, 2000, 1996, 2149, 1010, 2045, 2003, 2210, 3350, 2008, 16039, 1037, 2261, 2740, 6666, 2097, 2191, 2172, 2689, 1999, 7521, 3616, 1012, 1999, 2755, 1010, 4526, 2062, 3571, 2426, 7489, 2097, 2074, 2191, 2068, 2062, 8702, 2000, 10887, 2005, 12433, 2040, 2113, 2008, 7489, 2097, 2022, 2008, 2172, 2625, 3497, 2000, 3189, 16165, 13302, 2000, 4614, 1012, 2021, 2057, 5807, 1005, 1056, 2022, 4527, 2008, 4108, 1005, 1055, 4177, 2052, 19429, 10362, 2659, 1011, 11897, 12433, 2096, 8040, 24065, 3995, 5844, 10047, 7382, 8004, 17884, 2015, 1012, 2023, 2003, 1996, 2168, 2157, 9328, 4105, 2008, 2197, 2095, 10890, 1996, 2103, 1997, 5865, 2013, 11434, 2231, 16728, 2000, 3477, 1037, 2542, 11897, 1012, 2004, 2028, 1997, 1996, 13162, 1997, 1996, 3021, 8478, 2091, 1996, 5865, 2542, 11897, 2375, 2056, 1010, 1000, 1996, 18086, 2003, 2054, 2097, 5646, 2054, 12678, 2097, 2022, 3825, 1012, 1012, 1012, 2057, 2064, 1005, 1056, 7976, 2135, 4190, 2483, 13806, 12678, 1010, 1998, 2562, 17678, 4691, 2068, 2039, 1012, 1000, 2065, 4603, 2576, 4177, 2228, 2353, 2088, 16165, 3785, 2024, 3223, 2005, 2037, 2163, 2000, 5566, 15318, 1010, 2027, 5807, 1005, 1056, 2022, 4527, 2043, 2659, 1011, 11897, 12433, 24935, 3073, 2216, 3785, 2011, 18077, 2075, 11560, 4450, 1012, 2021, 2612, 1997, 12324, 2075, 7518, 22231, 4523, 2000, 1996, 2142, 2163, 1010, 2672, 2057, 2323, 2022, 15349, 2068, 6931, 1012, 6555, 3331, 2685, 2009, 2003, 2051, 2000, 2644, 8650, 11578, 2008, 5770, 2013, 14763, 25672, 24894, 14088, 7489, 1012, 2065, 11560, 3667, 2064, 1005, 1056, 6985, 2037, 2916, 1010, 2009, 2069, 16171, 16655, 23048, 2389, 11578, 2000, 10887, 2068, 2004, 2112, 1997, 2502, 2449, 1005, 1055, 5230, 4610, 1012, 2057, 2031, 2000, 4769, 1996, 3471, 2008, 2024, 4439, 7521, 1010, 2164, 2919, 3119, 9144, 1998, 2353, 2088, 7518, 22231, 4523, 2008, 3298, 7521, 2000, 1996, 2149, 1012, 2163, 2064, 2202, 2895, 2011, 5278, 2037, 2219, 13131, 6078, 2000, 2954, 7518, 22231, 4523, 1010, 2119, 2012, 2188, 1998, 6917, 1012, 4603, 7300, 2123, 1005, 1056, 3828, 2270, 5029, 1012, 2027, 5670, 5366, 1012, 2043, 2057, 9772, 9410, 2740, 2729, 2000, 3667, 1010, 2057, 2069, 2203, 2039, 12318, 2068, 1999, 5057, 4734, 2005, 1996, 2168, 3465, 1012, 2057, 1005, 2128, 2488, 2125, 13729, 1996, 3277, 1997, 7521, 1012, 5003, 1024, 3066, 2006, 2740, 2729, 1011, 1011, 2021, 2003, 2009, 2438, 1029, 2006, 5958, 1010, 4884, 4177, 1999, 4404, 3711, 2000, 2031, 3530, 2000, 1037, 12014, 3021, 2008, 2052, 14358, 1037, 10754, 7408, 2006, 2151, 2449, 2007, 2702, 5126, 2030, 2062, 2029, 2515, 2025, 3073, 2740, 2729, 2000, 2037, 5126, 1011, 1011, 1037, 3145, 5783, 1997, 1037, 12368, 2933, 2000, 2693, 2875, 5415, 2740, 2729, 6325, 1012, 2449, 4321, 6753, 1996, 12014, 2138, 1996, 7667, 2003, 4659, 2235, 1011, 1011, 2069, 1002, 21679, 2566, 7904, 2025, 3139, 2011, 2740, 2729, 5427, 1011, 1011, 2019, 3815, 2521, 2625, 2084, 1037, 3818, 2110, 2160, 3021, 1012, 2029, 7607, 2339, 2740, 2729, 13010, 2024, 2069, 15151, 12964, 1012, 2198, 11338, 5280, 10593, 1010, 3237, 2472, 1997, 3742, 1012, 2740, 2729, 2005, 2035, 1010, 14358, 2229, 1996, 3066, 2006, 1996, 3029, 1005, 1055, 9927, 2182, 1010, 2182, 1010, 1998, 2182, 1012, 2004, 11338, 5280, 10593, 7009, 1010, 2096, 1996, 1002, 21679, 7667, 2566, 2449, 2003, 24185, 12879, 18083, 2100, 14710, 1011, 1011, 1998, 4473, 3316, 2000, 3073, 3492, 15087, 2740, 2729, 6325, 1998, 4468, 2151, 4171, 2012, 2035, 1011, 1011, 1996, 3066, 7336, 1037, 8050, 3377, 2005, 13010, 1010, 8419, 7411, 1996, 6958, 2008, 5661, 2031, 1037, 3423, 14987, 2000, 3073, 2005, 2740, 6325, 1997, 2037, 5126, 1010, 2593, 3495, 2030, 2083, 7773, 3825, 2000, 1996, 2110, 2231, 1012, 1000, 2023, 2003, 2025, 1996, 2203, 1010, 2009, 1005, 1055, 1996, 2927, 1010, 1000, 7009, 11338, 5280, 10593, 1010, 1998, 2007, 1996, 6958, 1997, 11194, 5368, 2511, 1010, 6274, 1996, 7667, 2006, 5661, 1999, 1996, 2925, 2097, 2022, 2521, 6082, 2084, 7411, 2009, 1999, 1996, 2034, 2173, 1012, 4404, 4481, 2265, 1996, 2110, 2525, 15970, 1002, 18164, 2454, 2000, 3073, 2740, 2729, 2000, 5126, 2012, 3469, 9786, 1011, 1011, 1998, 1996, 2193, 2003, 2053, 4797, 2521, 3469, 2043, 3760, 9786, 2024, 2443, 1011, 1011, 2061, 1996, 4748, 2063, 16211, 5666, 1997, 1996, 2740, 2729, 7667, 2097, 3202, 2468, 1037, 3145, 3343, 5981, 2065, 11955, 1010, 2061, 1996, 5981, 2097, 2145, 2022, 2006, 13010, 1005, 9291, 1012, 1996, 3066, 1999, 4404, 2003, 2019, 4297, 28578, 21050, 3377, 1010, 2021, 2011, 11243, 2000, 2087, 5661, 1999, 1996, 2110, 1010, 2009, 13956, 1996, 5981, 2521, 3458, 1996, 2375, 3728, 11955, 1999, 5374, 2008, 12033, 2069, 2000, 2312, 5661, 2066, 24547, 1011, 20481, 1012, 1000, 2065, 2017, 2123, 1005, 1056, 2175, 3458, 24547, 22345, 1010, 1000, 11338, 5280, 10593, 2685, 2041, 1010, 1000, 2017, 1005, 2128, 2025, 14570, 2075, 2172, 1997, 2505, 2012, 1996, 2203, 1997, 1996, 2154, 1012, 1000, 3225, 2007, 24547, 1011, 20481, 2001, 2467, 2019, 4297, 28578, 21050, 2034, 3357, 2005, 1996, 5374, 13010, 1010, 2061, 3225, 2007, 1037, 2062, 10754, 7667, 2006, 1037, 3469, 2918, 1997, 5661, 1999, 4404, 2003, 2019, 4522, 2034, 3357, 2875, 2062, 7721, 3463, 1012, 1998, 13010, 2024, 2025, 3564, 2067, 1011, 1011, 2027, 2024, 3201, 2000, 2175, 2000, 1037, 10428, 6349, 2065, 1996, 2345, 3021, 1005, 1055, 4751, 2079, 2025, 7949, 2740, 6325, 7721, 2135, 2000, 1996, 4895, 7076, 12165, 1999, 1996, 2110, 1012, 2061, 2740, 2729, 13010, 2064, 2022, 7098, 1997, 1037, 3049, 1999, 4404, 2008, 2003, 6183, 1996, 3125, 1997, 5415, 6325, 2830, 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, 2076, 1996, 2415, 2005, 12702, 16294, 6651, 4105, 2968, 2458, 2565, 1998, 2731, 1997, 21992, 2218, 1999, 8046, 2080, 1010, 10378, 1010, 2570, 10489, 2013, 2459, 4896, 1999, 1022, 3032, 2408, 3763, 2637, 1998, 1996, 7139, 2234, 2362, 2005, 1037, 1020, 1011, 2154, 2731, 4208, 2006, 4975, 8651, 2389, 2968, 4813, 2005, 12702, 16294, 6651, 4177, 1012, 2426, 1996, 2177, 2020, 1037, 2193, 1997, 9313, 2308, 5052, 4013, 14163, 20009, 1999, 5619, 1010, 11645, 1010, 3290, 1998, 15448, 1012, 2004, 1996, 6818, 2020, 2893, 2000, 2113, 2169, 2060, 1010, 1037, 2691, 9874, 2211, 2000, 12636, 1024, 10284, 2013, 4013, 14163, 20009, 2018, 2318, 2004, 7846, 1997, 1996, 4896, 2073, 2027, 2085, 2147, 2004, 10489, 1012, 1037, 4563, 3579, 2012, 2308, 1521, 1055, 2088, 8169, 2003, 2000, 5326, 6958, 2094, 1998, 28036, 4105, 2005, 1996, 12702, 16294, 6651, 3068, 1012, 3145, 2000, 10910, 2023, 3260, 2003, 2000, 5676, 2008, 4896, 2031, 1037, 13117, 1997, 3811, 4591, 2308, 2040, 5050, 1996, 2783, 1998, 2925, 4105, 1997, 2152, 1011, 4488, 1010, 7857, 10085, 23671, 12702, 16294, 6651, 11670, 5462, 2000, 1996, 3313, 1011, 3953, 2240, 1012, 1996, 2147, 1997, 1059, 2860, 2497, 1521, 1055, 2415, 2005, 12702, 16294, 6651, 4105, 2105, 4105, 2458, 1998, 12148, 5907, 8906, 23253, 1996, 5197, 1997, 4105, 16910, 1516, 2129, 2079, 3095, 1010, 1998, 1999, 3327, 2308, 1010, 3193, 6695, 2005, 3930, 1998, 2658, 2458, 1029, 1998, 1010, 2129, 2515, 1996, 5145, 27617, 11244, 5848, 1998, 3073, 5020, 4495, 2012, 2296, 2504, 1029, 1059, 2860, 2497, 1521, 1055, 13296, 5907, 7667, 2470, 6083, 2008, 4722, 15365, 2024, 2019, 2590, 2112, 1997, 1996, 5848, 20125, 5656, 2005, 2116, 1049, 8873, 2015, 2004, 2037, 3136, 4982, 1999, 2946, 1998, 9531, 1012, 4493, 3095, 3288, 12148, 3716, 1010, 4087, 3977, 1998, 12139, 2007, 1996, 3260, 1012, 1999, 2116, 6233, 6975, 4450, 6089, 1010, 1037, 3168, 2008, 2019, 5145, 4107, 6695, 2005, 2476, 3930, 2064, 2022, 1037, 2844, 2367, 2401, 4263, 2043, 10549, 2019, 11194, 1012, 1996, 5891, 1997, 2019, 5145, 2004, 1037, 2173, 2008, 4240, 2308, 1517, 2119, 2004, 7846, 1998, 3095, 1517, 2064, 2036, 2191, 1037, 4489, 1999, 15411, 1037, 2062, 7578, 14877, 1012, 1996, 3441, 1997, 4013, 14163, 20009, 1521, 1055, 2308, 10489, 2040, 2031, 5281, 3930, 19817, 13006, 22471, 18909, 2306, 1996, 3029, 2008, 2320, 2366, 2068, 3073, 1037, 6742, 14614, 1997, 2122, 9556, 1012, 2058, 1996, 2197, 2048, 2086, 1010, 2382, 2000, 2871, 3867, 1997, 15365, 2408, 4013, 14163, 20009, 2031, 2042, 4722, 1012, 6854, 2174, 1010, 14763, 2005, 2070, 2327, 2968, 4460, 7657, 2008, 1010, 1523, 1996, 2088, 2003, 2145, 2025, 1037, 4189, 2173, 2005, 2308, 1010, 1524, 2758, 29273, 2401, 9353, 28696, 1010, 2472, 1997, 2529, 4219, 2005, 4013, 14163, 20009, 1012, 3728, 1010, 2043, 14357, 2005, 2019, 3237, 4105, 2597, 1010, 2041, 1997, 6163, 3653, 1011, 12238, 5347, 1010, 2069, 1020, 5347, 2020, 2308, 1012, 2429, 2000, 9353, 28696, 1010, 1523, 2008, 2003, 1996, 4507, 1997, 3763, 2637, 1998, 2057, 2342, 2000, 2954, 2061, 2008, 1031, 2028, 2154, 1033, 3438, 2041, 1997, 6163, 17362, 2024, 2308, 1012, 1524, 3145, 4255, 1999, 1996, 2954, 2024, 5848, 2458, 1010, 9942, 2000, 6709, 1998, 21155, 2152, 4022, 5126, 1998, 8338, 4041, 2000, 3443, 3154, 16910, 2008, 2147, 2005, 2308, 1998, 2273, 1012, 2023, 2832, 4821, 4269, 2007, 15680, 1012, 1999, 2344, 2000, 2424, 1996, 2157, 2111, 1010, 4013, 14163, 20009, 2003, 2747, 2551, 2000, 19933, 1998, 5460, 4179, 2037, 14357, 6043, 2408, 2037, 2406, 3136, 1012, 2027, 2053, 2936, 4748, 16874, 5562, 2005, 4923, 3738, 2007, 5446, 5445, 4496, 2079, 2027, 5478, 2008, 17362, 2113, 2129, 2000, 16095, 3775, 4371, 1037, 5414, 1012, 2122, 2024, 4813, 2008, 2064, 2022, 4036, 2096, 2062, 20014, 5654, 7028, 5300, 2107, 2004, 29536, 10719, 1997, 2326, 1010, 3463, 10296, 1010, 2293, 2005, 3260, 1010, 1998, 15398, 2024, 2464, 2004, 2242, 2008, 3685, 2022, 4342, 1012, 1059, 2860, 2497, 1521, 1055, 5907, 8906, 2470, 2036, 23283, 2008, 1996, 2653, 2109, 1999, 15680, 4475, 1010, 2004, 2092, 2004, 1996, 4353, 6833, 2109, 1010, 2064, 2031, 1037, 3278, 4254, 2006, 1996, 6337, 1997, 17362, 1012, 2012, 1996, 2540, 1997, 4013, 14163, 20009, 1521, 1055, 2449, 1010, 2004, 2007, 2035, 2204, 12702, 16294, 6651, 1010, 2003, 2019, 10305, 3716, 1997, 7846, 1012, 2005, 10489, 2066, 5348, 2050, 13950, 2378, 4143, 20556, 1010, 5101, 2415, 3208, 1010, 26136, 2080, 1010, 7304, 1010, 2108, 2485, 2000, 1996, 7396, 1998, 1996, 4495, 2000, 11835, 2007, 3541, 2308, 2003, 1996, 2518, 2008, 2038, 2445, 2014, 1996, 2087, 9967, 1999, 2014, 2176, 2095, 2658, 22793, 2007, 4013, 14163, 20009, 1012, 4013, 14163, 20009, 1521, 1055, 5656, 2003, 2000, 3288, 1999, 2111, 1010, 2107, 2004, 5348, 2050, 1010, 2040, 2024, 13115, 2007, 1996, 3260, 1997, 1996, 3029, 1998, 2040, 2024, 7591, 2000, 7846, 1521, 3791, 1012, 1998, 1010, 2040, 4282, 1996, 7846, 2488, 2084, 1037, 7396, 1029, 2295, 1996, 6653, 2013, 7396, 2000, 3095, 2106, 4148, 24590, 3973, 2012, 4013, 14163, 20009, 1999, 1996, 2627, 1010, 1996, 3579, 2006, 2023, 2476, 12732, 2038, 2468, 2062, 21249, 1999, 3522, 2086, 1012, 2758, 9353, 28696, 1010, 1523, 2025, 3071, 1999, 1996, 2088, 2003, 2019, 10670, 1998, 2025, 2035, 7846, 2024, 2183, 2000, 2215, 2000, 2031, 2037, 2219, 2449, 1025, 2070, 2215, 2000, 2147, 2007, 2149, 1516, 2057, 2507, 2068, 2019, 4495, 1012, 2027, 2113, 1996, 7846, 1012, 1524, 1996, 3441, 1997, 1996, 2093, 10489, 2008, 3582, 19141, 2070, 1997, 1996, 6078, 2008, 1059, 2860, 2497, 10592, 2004, 3145, 3112, 5876, 2005, 12702, 16294, 6651, 1517, 2995, 8013, 1011, 9358, 7277, 3012, 1998, 1996, 2373, 1997, 4896, 2008, 1999, 25608, 2063, 2037, 3260, 1998, 5300, 1999, 2037, 2154, 2000, 2154, 3136, 1010, 3226, 1998, 3921, 2000, 6605, 1037, 3145, 7692, 1010, 2037, 2111, 1012, 5032, 2721, 9172, 1010, 5101, 2415, 3208, 1010, 5619, 1010, 2034, 2657, 2055, 4013, 14163, 20009, 2083, 1037, 11429, 1012, 2012, 2034, 2016, 2001, 13070, 2021, 2776, 2001, 6427, 2000, 3693, 1037, 2177, 1010, 2124, 2004, 2019, 1523, 2004, 10085, 20469, 3258, 4012, 9521, 2140, 1010, 1524, 2081, 2039, 1997, 2308, 2040, 2444, 1999, 1996, 2168, 5101, 1012, 2320, 2016, 2150, 1037, 7396, 1997, 4013, 14163, 20009, 1010, 5032, 2721, 2001, 3391, 19209, 2011, 1996, 5414, 2961, 4137, 2000, 2147, 1999, 2014, 2181, 1012, 2016, 4427, 2014, 7846, 2011, 6469, 2075, 1037, 3168, 1997, 7495, 1998, 4495, 1012, 2036, 4427, 2011, 1996, 2846, 1997, 6695, 2008, 4013, 14163, 20009, 4107, 2000, 2308, 8390, 1010, 5032, 2721, 2776, 2587, 1996, 3095, 2004, 1037, 7396, 8619, 1012, 2014, 4310, 6691, 2000, 2014, 2147, 2003, 1996, 3754, 2000, 10639, 1996, 4382, 1998, 3260, 1997, 4013, 14163, 20009, 2000, 4722, 1998, 6327, 7846, 1010, 8558, 25540, 10497, 7999, 1037, 2613, 8426, 2000, 1996, 3029, 1999, 1037, 7578, 2846, 1997, 22859, 1012, 1996, 2373, 1997, 2535, 4275, 7203, 2011, 5032, 2721, 1521, 1055, 2466, 2003, 2242, 2008, 2003, 2036, 2179, 1999, 1059, 2860, 2497, 1521, 1055, 2470, 2006, 5907, 8906, 1012, 2005, 7846, 1010, 3773, 2308, 1999, 2658, 1998, 4105, 4395, 1010, 2013, 5414, 2961, 2000, 5766, 1010, 2003, 2411, 1037, 2307, 3120, 1997, 7780, 1998, 14354, 2000, 9510, 1012, 10655, 1010, 2013, 1037, 2529, 4219, 3233, 8400, 1010, 1999, 2344, 2000, 5147, 9958, 2308, 5347, 1059, 2860, 2497, 26021, 2478, 3144, 2308, 5126, 2004, 13024, 2545, 1010, 6016, 2068, 2000, 6295, 2007, 4022, 2308, 17362, 2000, 2831, 2055, 2037, 2219, 6322, 2007, 1996, 4896, 1012, 5032, 2721, 2038, 2366, 2004, 1037, 7396, 8619, 1010, 1998, 1010, 2747, 2004, 5101, 2415, 3208, 1012, 2023, 4130, 2001, 2081, 2825, 2083, 1037, 5257, 1997, 3404, 1998, 2490, 2013, 2968, 1010, 10910, 2844, 3463, 1999, 2169, 2597, 1998, 17227, 2836, 9312, 2015, 1012, 2383, 1037, 6540, 3105, 3957, 2014, 1996, 9967, 1997, 8020, 2000, 2014, 4398, 1012, 2009, 2036, 3084, 2014, 2514, 7714, 16829, 2000, 2113, 2008, 2016, 3248, 1037, 2535, 1999, 2437, 4013, 14163, 20009, 1521, 1055, 3260, 1037, 4507, 1012, 1996, 5221, 4254, 1997, 2014, 2051, 2007, 4013, 14163, 20009, 2038, 2042, 1996, 6061, 2000, 4503, 2004, 1037, 2658, 2306, 1996, 3029, 1010, 2635, 5056, 1997, 6695, 2000, 3857, 2014, 4813, 1998, 7590, 2083, 5352, 1010, 9656, 1998, 2731, 2015, 2107, 2004, 1996, 1059, 2860, 2497, 2968, 2458, 2565, 1012, 1999, 1996, 2925, 1010, 5032, 2721, 2038, 3488, 2000, 3613, 2551, 1010, 1998, 3652, 1010, 2007, 4013, 14163, 20009, 1012, 2066, 5032, 2721, 1010, 20416, 2483, 28129, 1010, 7396, 2731, 8325, 1010, 15448, 1010, 2038, 2042, 4427, 1999, 2014, 2476, 2012, 4013, 14163, 20009, 2011, 1996, 2616, 1997, 8628, 2040, 2031, 3569, 2014, 1012, 2036, 2066, 5032, 2721, 1010, 2016, 2034, 4342, 1997, 4013, 14163, 20009, 2083, 2773, 1997, 2677, 1998, 2001, 6296, 2000, 3693, 2138, 1997, 1996, 7721, 2578, 3253, 2000, 7846, 2107, 2004, 3361, 2495, 1998, 2740, 1012, 2295, 20416, 2483, 2001, 5086, 2138, 2016, 7645, 1996, 2157, 5566, 14767, 2005, 1996, 3105, 1010, 2016, 2036, 7164, 2008, 2280, 7846, 2031, 1037, 4310, 4824, 1997, 1996, 2529, 3787, 1997, 1996, 2449, 1998, 2024, 2092, 1011, 10959, 2000, 3857, 2844, 6550, 2007, 7846, 1012, 20416, 2483, 2001, 12774, 2000, 2191, 1996, 6653, 2013, 7396, 2000, 3095, 2266, 2011, 1037, 3167, 4792, 2000, 4982, 12145, 1010, 1996, 6061, 1997, 4526, 1037, 2488, 2925, 2005, 2014, 2336, 1998, 2000, 2468, 2112, 1997, 2019, 5145, 5462, 2000, 8161, 1996, 2504, 1997, 14785, 3989, 1997, 2308, 1999, 15448, 2011, 3228, 2068, 1996, 5906, 1010, 4813, 1998, 2969, 1011, 19593, 2000, 10938, 2037, 3268, 1012, 1996, 8651, 2008, 20416, 2483, 8069, 2005, 1999, 2014, 7846, 2003, 2242, 2008, 2016, 2841, 2038, 2036, 5281, 2083, 2014, 2476, 1012, 2043, 2016, 2034, 2587, 4013, 14163, 20009, 1010, 2016, 2001, 4527, 2011, 2035, 1997, 1996, 2477, 2008, 2016, 2001, 5214, 1997, 1010, 2708, 2426, 2122, 4813, 1010, 2014, 24501, 18622, 10127, 1998, 10673, 2000, 4553, 2013, 4945, 1012, 1523, 1045, 2903, 1010, 1524, 2758, 20416, 2483, 1010, 1523, 2008, 2111, 2123, 1521, 1056, 2729, 2129, 2116, 2335, 2027, 2991, 2021, 2738, 2129, 2116, 2335, 2027, 2131, 2067, 2039, 1998, 1996, 12024, 2005, 2969, 1011, 7620, 2296, 2051, 2027, 2079, 1012, 1524, 2913, 2006, 1996, 2449, 2553, 2005, 5907, 8906, 2411, 2391, 2000, 2308, 1521, 1055, 11765, 2000, 2022, 2062, 3891, 1011, 13642, 22573, 2084, 2037, 3287, 14562, 2004, 1037, 3893, 12130, 2000, 5971, 9211, 1998, 1996, 3361, 3953, 2240, 1012, 2174, 1010, 19732, 2000, 2202, 6047, 10831, 1998, 7683, 14799, 1010, 1998, 1037, 2658, 4044, 2008, 4473, 5126, 2000, 2991, 1998, 2131, 2067, 2039, 1010, 2064, 2022, 3145, 5876, 1999, 10910, 2658, 3930, 1012, 5719, 2014, 2476, 22793, 2013, 7396, 8619, 1010, 4923, 8619, 1010, 4341, 3003, 1998, 4923, 2961, 1010, 15029, 2924, 1010, 20416, 2483, 3488, 2000, 3613, 10189, 2075, 2014, 4813, 2000, 2468, 7772, 2004, 1037, 10365, 1012, 1999, 1996, 2925, 1010, 2016, 5927, 2841, 2004, 1037, 2658, 2450, 2040, 4247, 4083, 3679, 1998, 6631, 2054, 2016, 10229, 2067, 2000, 1996, 2111, 2008, 15161, 2014, 1012, 3814, 23529, 12943, 19231, 2050, 10568, 2034, 2150, 1037, 7396, 1997, 4013, 14163, 20009, 3290, 1999, 2384, 1010, 1037, 2051, 2008, 2016, 17722, 2004, 1996, 5409, 3171, 5325, 1997, 2014, 2166, 1010, 2076, 2029, 4445, 2016, 4496, 2014, 3129, 2020, 2583, 2000, 2424, 2147, 1998, 6915, 2000, 2490, 3209, 1998, 2037, 2093, 2402, 2336, 1012, 2295, 2016, 2001, 4082, 1037, 2235, 6960, 4855, 26762, 6471, 2000, 2814, 1998, 2155, 1010, 2302, 1037, 6706, 5460, 1997, 3318, 2000, 1996, 4398, 1010, 2016, 2211, 2183, 2046, 6196, 7016, 1012, 2172, 2066, 1996, 3441, 1997, 2014, 8628, 1010, 2014, 2034, 4955, 2000, 4013, 14163, 20009, 2001, 2043, 1037, 2767, 4778, 2014, 2000, 1037, 2451, 3116, 1012, 2044, 5266, 2070, 3937, 4398, 26785, 7971, 6447, 1010, 23529, 27788, 6961, 3064, 2014, 2034, 5414, 2046, 2014, 2449, 1012, 2083, 1996, 9529, 11110, 2012, 2014, 24565, 3672, 6295, 1010, 2016, 3651, 2008, 2014, 2449, 2001, 21115, 1998, 2318, 2000, 3229, 20519, 3469, 5414, 8310, 1012, 2320, 2014, 3129, 2179, 2147, 1010, 2016, 2001, 2583, 2000, 15697, 1996, 2972, 5414, 5703, 2046, 2014, 2449, 1010, 1998, 2083, 2014, 11372, 1010, 2191, 1037, 3469, 6691, 2000, 1996, 3361, 2092, 19205, 3070, 1997, 2014, 2155, 1012, 2043, 2014, 4646, 2000, 3693, 1996, 3095, 2001, 4844, 1010, 2014, 2525, 3652, 3110, 1997, 2969, 1011, 7023, 2150, 2130, 6428, 1012, 2074, 2004, 1996, 5414, 3738, 2020, 2320, 2014, 2535, 4275, 1010, 23529, 2038, 2468, 1037, 2535, 2944, 2000, 2014, 2684, 2040, 7777, 2000, 2360, 2008, 2016, 2205, 2573, 2005, 4013, 14163, 20009, 1010, 6951, 2075, 2000, 2393, 2275, 2039, 8397, 1998, 3413, 2041 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10093, 2063, 19931, 26693, 2063, 2112, 28775, 4502, 9686, 1055, 1012, 1037, 1012, 1006, 28286, 2063, 1007, 1010, 2036, 2124, 2004, 1000, 10093, 14545, 2099, 1010, 1000, 2003, 1037, 2877, 10802, 1997, 4964, 1998, 9949, 12108, 2578, 1999, 4380, 1012, 1996, 2194, 5748, 2048, 2449, 9214, 1024, 7318, 4179, 1013, 19595, 4806, 1010, 1998, 9949, 2578, 1012, 1996, 2194, 2038, 1037, 7578, 4666, 1997, 12594, 1012, 2004, 2057, 2064, 2156, 2013, 1996, 2206, 10629, 1024, 2083, 2049, 7506, 1010, 10093, 14545, 2099, 1055, 1012, 1037, 1012, 1010, 1996, 2194, 2003, 1996, 2922, 10802, 1997, 7318, 4179, 2578, 1999, 2148, 2637, 1010, 2007, 2105, 2403, 1012, 1017, 2454, 3229, 3210, 1999, 2326, 1012, 10093, 14545, 2099, 2036, 3640, 2334, 1010, 26721, 1013, 6970, 1011, 3164, 1010, 2248, 2146, 3292, 2578, 1010, 1998, 7661, 2951, 6726, 2578, 1999, 1037, 3700, 19129, 3155, 4185, 1003, 1997, 1996, 2313, 1997, 4380, 1012, 1996, 2194, 2038, 2511, 3243, 2070, 2051, 3283, 1037, 2844, 3739, 1999, 1996, 3435, 1011, 3652, 6142, 9949, 4753, 1012, 1999, 3054, 1011, 2526, 1010, 1996, 2194, 3390, 2049, 9949, 2326, 4082, 2104, 1996, 4435, 2171, 1051, 2072, 1012, 2057, 2024, 6628, 2011, 1996, 2194, 1005, 1055, 5656, 2000, 3623, 2049, 3579, 2006, 1996, 9949, 2449, 1010, 2029, 3640, 28286, 2063, 2007, 1037, 7965, 4666, 1997, 5661, 1012, 3728, 1010, 1996, 2194, 2787, 2000, 3579, 2006, 1996, 1051, 2072, 4435, 1010, 2029, 2003, 2085, 1996, 2194, 1005, 1055, 4435, 2005, 2035, 2049, 3688, 1012, 10093, 14545, 2099, 1005, 1055, 3112, 1999, 9949, 2578, 2038, 2042, 8052, 1012, 1996, 4684, 4942, 29234, 2099, 2918, 3445, 6146, 1012, 1017, 1003, 2076, 2432, 1010, 2753, 1012, 1021, 1003, 1999, 2384, 1010, 2656, 1012, 1018, 1003, 1999, 2294, 1010, 1016, 1012, 1015, 1003, 4284, 1011, 2058, 1011, 4284, 1999, 1996, 2034, 4284, 1997, 2289, 1010, 1016, 1012, 1015, 1003, 4284, 1011, 2058, 1011, 4284, 2153, 1999, 1996, 2117, 4284, 2289, 1998, 1023, 1012, 1017, 1003, 1999, 1996, 2353, 4284, 2289, 1012, 2012, 1996, 2203, 1997, 2244, 2289, 1010, 1051, 2072, 2018, 2403, 1012, 1023, 2454, 2561, 17073, 1998, 2019, 4358, 3006, 3745, 1997, 2676, 1003, 1999, 2049, 2449, 2181, 1012, 1051, 2072, 2003, 2145, 2028, 1997, 1996, 7915, 3652, 9949, 9224, 1999, 4380, 1012, 2130, 2488, 1010, 2057, 2903, 1051, 2072, 2085, 2038, 1037, 2047, 3927, 2005, 3930, 1999, 1996, 2200, 2460, 2744, 1012, 1999, 2255, 2289, 1010, 28286, 2063, 3734, 9949, 15943, 2000, 7818, 2000, 7509, 9094, 1998, 2000, 3623, 2049, 6075, 2846, 1999, 2116, 2060, 2163, 1999, 2344, 2000, 11598, 1996, 2194, 1005, 1055, 3977, 2000, 5047, 4026, 1012, 1999, 2755, 1010, 1996, 2194, 3734, 1019, 2041, 1997, 4029, 5991, 1997, 13139, 2005, 1017, 2290, 1006, 2353, 4245, 1007, 2578, 10470, 2098, 2011, 9617, 9834, 1006, 6142, 2120, 4034, 2005, 12108, 1007, 1012, 2130, 2295, 1996, 19530, 2020, 3811, 4072, 1010, 10093, 14545, 2099, 3825, 1054, 1002, 6564, 2581, 2454, 1006, 2149, 1002, 17295, 2454, 1007, 1010, 1037, 2200, 6450, 3976, 1010, 5052, 1037, 12882, 1997, 6535, 1012, 6163, 1003, 1999, 2779, 2013, 1996, 6263, 7597, 2511, 2011, 9617, 9834, 1012, 2057, 3305, 1996, 7509, 9094, 6105, 2097, 2022, 2200, 3893, 2005, 28286, 2063, 1005, 1055, 6143, 2597, 1010, 2164, 1996, 6882, 9347, 1997, 24430, 2578, 2000, 4493, 7846, 7118, 2000, 1996, 7509, 9094, 1012, 2023, 6105, 2097, 9585, 28286, 2063, 2000, 5114, 3229, 2000, 1996, 18429, 1998, 2087, 10357, 2110, 1999, 4380, 1012, 2057, 2903, 1051, 2072, 2097, 3613, 2000, 5770, 2013, 11119, 3068, 12878, 1999, 9046, 7728, 1012, 2429, 2000, 9617, 9834, 1010, 2012, 1996, 2203, 1997, 2294, 9949, 17073, 2020, 2058, 5585, 2454, 1010, 1037, 3930, 1997, 2321, 1012, 1023, 1003, 2013, 2285, 2384, 1012, 2076, 1996, 2034, 4284, 1997, 2289, 1010, 2561, 17073, 2584, 9402, 1012, 2321, 2454, 1012, 1999, 1996, 2117, 4284, 1997, 2289, 1010, 2009, 2584, 10114, 1012, 5764, 2454, 1998, 1999, 1996, 2353, 4284, 2289, 2009, 2584, 11176, 1012, 4293, 2454, 1012, 1996, 3930, 2506, 1999, 2255, 1998, 2281, 4285, 12904, 1012, 2861, 2454, 1012, 6195, 2216, 3616, 2009, 2003, 3243, 3154, 2008, 1996, 9949, 2449, 1999, 4380, 3464, 9685, 1012, 2747, 1010, 1996, 20015, 6463, 1999, 4380, 2003, 2085, 2058, 6079, 1003, 1998, 2038, 2042, 3652, 4284, 1011, 2044, 1011, 4284, 1010, 2021, 2009, 2145, 3464, 2917, 2248, 3798, 1012, 2057, 2903, 2023, 8052, 3930, 2097, 3613, 1999, 1996, 2460, 1011, 2000, 1011, 5396, 2744, 1010, 12167, 2012, 1037, 3621, 2896, 6393, 1999, 1996, 2206, 7728, 1012, 2917, 1010, 2057, 2064, 2156, 1996, 3930, 1997, 1996, 6142, 9949, 4942, 29234, 2099, 2918, 2076, 2294, 2127, 2281, 2289, 1024, 1996, 2506, 4935, 1999, 1996, 6142, 9949, 3006, 2038, 2042, 17999, 2011, 1996, 3893, 4044, 2005, 1996, 6142, 4610, 1012, 1996, 3171, 17680, 2005, 4380, 2005, 1996, 5396, 1011, 2744, 3464, 10015, 1010, 2144, 2057, 2903, 2008, 1996, 2506, 7620, 1999, 1996, 6142, 3171, 4044, 2097, 2191, 4380, 3362, 5211, 3694, 2306, 1996, 2206, 2260, 2706, 1010, 2947, 2877, 2000, 1037, 3674, 4935, 2005, 6142, 15768, 1012, 2174, 1010, 6142, 2430, 2924, 2787, 2000, 2644, 2000, 3013, 3937, 3037, 6165, 1999, 1996, 2200, 2460, 1011, 2744, 1012, 5262, 1010, 2044, 1996, 2257, 2924, 3116, 2019, 2880, 3189, 2001, 2207, 2007, 2844, 7928, 2006, 4968, 14200, 15399, 1998, 1999, 2255, 2009, 2001, 2787, 2000, 2681, 6165, 15704, 2005, 1996, 2034, 2051, 1999, 1016, 2086, 1012, 2130, 2295, 2216, 2024, 2005, 2469, 2025, 11434, 2739, 1010, 2057, 2903, 2009, 2097, 2025, 7461, 1996, 9949, 3006, 1999, 1996, 2460, 1011, 2744, 1012, 1996, 2836, 1997, 1996, 19595, 14997, 2140, 6903, 1006, 2310, 4135, 2595, 4435, 1007, 2038, 2036, 2042, 2200, 3893, 1012, 2076, 2432, 1010, 2023, 6903, 3473, 11899, 1012, 1020, 1003, 2095, 1011, 2058, 1011, 2095, 1012, 1999, 2384, 1010, 1996, 3930, 2584, 5786, 1012, 1017, 1003, 1012, 1999, 2294, 1010, 2009, 2253, 2039, 3943, 1012, 1019, 1003, 1010, 4285, 1037, 2561, 1997, 1015, 1012, 11899, 2454, 17073, 1012, 2076, 1996, 2034, 3157, 2706, 1997, 2289, 19595, 4942, 29234, 2099, 1005, 1055, 2918, 2584, 1015, 1010, 4464, 2509, 2454, 1010, 5052, 2603, 1012, 1019, 1003, 3930, 2013, 1996, 2203, 1997, 2294, 1012, 2065, 2057, 5136, 2069, 1996, 2353, 4284, 2289, 1010, 4942, 29234, 2099, 3930, 2584, 2184, 1003, 4284, 1011, 2058, 1011, 4284, 1998, 3943, 1012, 1016, 1003, 2095, 1011, 2058, 1011, 2095, 1012, 1996, 17680, 2005, 1996, 19595, 2449, 1999, 4380, 3464, 3893, 1999, 1996, 2460, 2744, 1010, 1999, 2755, 4380, 2003, 2028, 1997, 1996, 3032, 1999, 1996, 2088, 2073, 4274, 4434, 2038, 2042, 3652, 2062, 3435, 1998, 2057, 2145, 2903, 2008, 2023, 2832, 2003, 2521, 2013, 2058, 1012, 2006, 2285, 2263, 28286, 2063, 2623, 2008, 2028, 1997, 2049, 20178, 3734, 2035, 6661, 1997, 6643, 13871, 2080, 7861, 28139, 10497, 14428, 13663, 2015, 1055, 1012, 1037, 1012, 2005, 1996, 3815, 1997, 1054, 1002, 4293, 2454, 1006, 2149, 1002, 4413, 2454, 1007, 1012, 6643, 13871, 2080, 2003, 1037, 7156, 2194, 2008, 2038, 2764, 1996, 1000, 6643, 13871, 2080, 4923, 1998, 7909, 2291, 1000, 1010, 1037, 2785, 1997, 4923, 4003, 2008, 5748, 2013, 1996, 4684, 3042, 1012, 2747, 6643, 13871, 2080, 2038, 10114, 1010, 2199, 7846, 1998, 1037, 4121, 4022, 2005, 3930, 1999, 1996, 2200, 2460, 1011, 2744, 1010, 2144, 4380, 2038, 2042, 28636, 2013, 3259, 2646, 4816, 7909, 1012, 6643, 13871, 2080, 2038, 5793, 19962, 2121, 17252, 2007, 28286, 2063, 1998, 2049, 5656, 2003, 1999, 2240, 2007, 1996, 2783, 28286, 2063, 1005, 1055, 5656, 1997, 18612, 9031, 1997, 6599, 4216, 1012, 2057, 2903, 6643, 13871, 2080, 2071, 3362, 2004, 2172, 2004, 9683, 1010, 2199, 7846, 1999, 1996, 2203, 1997, 2263, 1012, 2009, 2003, 6151, 19825, 3468, 2008, 1996, 7318, 4179, 2449, 2038, 2358, 8490, 23854, 1012, 2057, 2228, 2008, 2023, 2003, 2019, 2248, 9874, 2008, 2097, 3653, 3567, 4014, 1999, 1996, 2460, 1011, 2000, 1011, 5396, 2744, 1012, 2174, 1010, 28286, 2063, 2038, 2042, 2583, 2000, 2471, 27790, 1996, 7318, 4179, 8013, 2918, 1998, 2000, 3749, 8702, 28314, 3372, 3488, 2008, 4957, 2035, 1996, 3688, 3253, 2011, 1996, 2194, 1012, 2057, 2024, 2200, 6628, 2011, 2023, 5656, 1010, 2144, 2057, 2903, 28286, 2063, 2003, 1999, 1037, 2488, 6975, 2597, 2084, 2087, 1997, 2049, 12746, 2138, 1997, 2049, 6377, 3267, 1998, 7965, 4666, 1997, 5661, 1012, 10093, 14545, 2099, 2038, 2042, 5378, 28314, 3372, 1998, 4522, 3488, 2000, 2367, 9214, 1010, 2029, 2018, 2525, 6296, 1018, 1012, 1021, 2454, 6304, 2012, 1996, 2203, 1997, 1996, 2353, 4284, 2289, 2030, 3590, 1012, 1022, 1003, 1997, 2561, 4964, 3210, 1998, 4413, 1012, 1015, 1003, 1997, 5647, 3210, 1010, 4852, 8013, 9721, 1012, 2023, 5656, 2038, 9124, 1996, 2194, 2000, 8116, 5024, 4082, 3463, 1010, 2164, 5024, 4082, 17034, 1998, 7965, 5356, 4834, 1999, 1037, 2200, 6975, 2449, 4044, 1012, 9308, 1010, 10093, 14545, 2099, 2003, 2437, 1037, 2506, 3947, 2000, 5547, 5658, 7016, 1012, 2057, 2903, 2023, 5656, 2003, 3893, 6195, 1996, 2145, 2152, 3037, 6165, 1999, 4380, 1998, 2003, 2525, 5094, 2000, 3623, 16565, 1010, 3701, 2076, 1996, 2353, 4284, 2289, 1012, 2383, 2949, 2049, 2350, 3007, 22697, 1010, 28286, 2063, 1005, 1055, 5356, 4834, 2038, 5301, 1010, 2029, 2038, 9124, 1996, 2194, 2000, 3623, 2049, 11443, 18376, 3477, 12166, 2000, 2105, 3438, 1003, 1997, 2049, 5658, 3318, 1998, 5547, 2049, 7016, 1012, 2747, 1010, 2049, 11443, 4859, 10750, 2003, 1017, 1012, 1014, 1003, 1010, 1998, 2057, 5987, 2009, 2000, 3362, 2242, 2105, 1018, 1012, 1014, 1003, 2076, 2263, 1012, 10093, 14545, 2099, 2003, 2893, 3201, 2000, 2468, 2019, 2590, 2447, 1999, 1996, 6142, 3435, 3652, 3477, 2694, 3006, 1012, 2006, 2255, 2603, 1010, 2289, 1010, 1996, 6142, 25958, 4034, 1006, 9617, 9834, 1007, 4844, 1996, 7654, 1997, 2126, 2694, 2011, 10093, 14545, 2099, 1012, 2126, 2694, 3640, 2694, 15002, 1998, 19595, 3229, 1999, 2070, 3655, 1999, 1996, 2110, 1997, 21750, 29220, 1012, 5678, 1010, 1996, 2194, 2003, 8225, 2000, 4888, 1037, 2047, 4031, 2170, 12997, 9189, 1999, 2220, 2263, 1012, 2023, 4031, 2097, 9585, 7846, 2000, 3229, 2678, 2006, 5157, 1012, 2000, 4088, 1010, 1996, 4031, 2097, 2022, 2800, 2069, 1999, 2070, 2752, 1997, 5673, 2139, 11497, 1012, 2057, 2903, 1996, 19143, 5656, 1997, 1996, 2194, 1010, 2164, 5746, 1013, 5107, 4180, 1010, 2097, 2022, 2200, 3144, 1999, 1996, 5396, 1011, 2744, 1012, 2353, 4284, 3463, 2020, 2488, 1011, 2084, 1011, 3517, 1012, 1996, 9949, 6903, 2001, 2583, 2000, 3623, 2049, 1041, 16313, 2850, 7785, 9839, 1010, 3701, 2349, 2000, 4942, 29234, 2099, 3930, 1998, 1996, 4566, 1997, 21762, 2006, 2398, 3388, 4341, 2005, 3653, 1011, 3825, 6304, 1012, 5678, 1010, 4283, 2000, 1996, 2896, 7016, 1998, 4634, 3037, 6165, 1010, 10495, 3361, 11727, 2020, 2091, 4805, 1012, 1022, 1003, 2095, 1011, 2058, 1011, 2095, 1012, 2057, 2903, 16565, 2097, 2562, 4852, 1999, 1996, 2206, 7728, 2005, 1996, 2168, 4436, 1024, 2896, 7016, 11211, 2007, 5301, 3463, 1999, 1996, 9949, 1998, 19595, 9214, 1012, 2045, 2001, 2036, 1037, 2235, 23234, 21857, 1012, 1996, 6142, 18126, 3691, 1006, 9617, 9834, 1007, 9362, 2006, 2238, 2322, 1010, 2289, 1010, 1037, 23234, 3623, 2005, 28286, 2063, 1997, 1015, 1012, 6640, 1003, 2005, 1996, 7318, 4179, 6903, 1998, 1037, 23234, 3623, 1997, 1016, 1012, 6070, 1003, 2005, 4964, 1011, 2000, 1011, 4684, 4455, 1012, 1037, 2261, 2706, 3283, 1010, 2070, 6142, 6399, 2623, 1996, 6061, 1997, 1037, 7660, 2090, 4380, 18126, 1006, 7987, 2361, 1007, 1998, 10093, 14545, 2099, 1012, 2009, 2001, 2036, 2056, 2008, 1996, 6142, 2231, 2001, 2667, 2000, 2404, 2362, 1037, 2350, 6142, 18126, 2447, 1999, 2344, 2000, 4468, 1996, 3143, 2248, 3989, 1997, 1996, 6142, 18126, 3068, 1012, 2023, 2755, 2052, 5050, 1996, 4121, 3357, 2005, 1996, 2146, 4741, 17439, 2832, 2005, 2023, 3068, 1010, 1996, 2203, 1997, 1996, 8618, 2954, 2005, 1996, 2491, 1997, 21133, 18126, 1998, 1996, 4325, 1997, 1037, 2350, 3068, 2447, 2007, 5786, 1003, 1997, 1996, 6142, 7318, 4179, 3006, 1010, 1037, 3006, 3003, 2008, 2097, 2005, 2469, 10107, 1037, 2172, 2488, 26004, 2084, 1996, 3924, 1997, 10093, 14545, 2099, 1998, 21133, 18126, 13367, 1012, 2074, 2070, 3134, 3283, 1010, 2070, 6142, 6399, 2623, 2008, 1996, 13590, 2090, 21133, 18126, 1998, 10093, 14545, 2099, 2001, 2525, 2701, 1998, 2008, 1996, 9756, 6661, 1997, 21133, 18126, 2020, 3734, 2011, 10093, 14545, 2099, 2011, 1996, 3815, 1997, 1054, 1002, 1018, 1012, 1022, 4551, 1006, 13751, 2475, 1012, 1021, 4551, 1007, 1012, 2130, 2295, 2006, 2254, 2263, 21133, 18126, 3843, 2019, 4861, 16039, 1996, 3066, 1010, 2057, 2145, 2903, 2008, 1996, 13590, 2001, 5262, 2701, 1012, 1996, 4668, 1997, 1996, 3006, 2001, 2200, 3893, 2005, 28286, 2063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 10831, 1997, 4958, 3593, 11137, 1998, 9099, 29278, 27651, 2140, 26261, 22943, 13341, 2015, 1999, 1996, 8560, 1024, 8570, 1998, 1037, 7721, 3319, 1997, 1996, 3906, 7912, 1041, 26646, 1996, 4789, 15313, 2267, 1997, 4200, 1010, 14487, 1010, 9645, 2575, 2487, 1010, 1998, 2708, 1997, 11265, 10976, 26210, 26715, 8560, 1998, 2495, 1010, 2533, 1997, 23700, 1010, 28974, 2118, 2902, 1010, 3067, 6030, 1010, 6396, 1010, 10630, 24096, 1010, 3915, 1064, 3058, 1997, 12339, 1064, 1064, 5890, 1011, 5553, 1011, 2286, 1064, 1064, 3058, 1997, 9920, 1064, 1064, 6021, 1011, 5553, 1011, 2286, 1064, 1064, 3058, 1997, 4773, 4772, 1064, 1064, 2570, 1011, 9388, 1011, 2286, 1064, 7912, 1041, 26646, 1996, 4789, 15313, 2267, 1997, 4200, 1010, 14487, 1010, 9645, 2575, 2487, 1010, 1998, 2708, 1997, 11265, 10976, 26210, 26715, 8560, 1998, 2495, 1010, 2533, 1997, 23700, 1010, 28974, 2118, 2902, 1010, 3067, 6030, 1010, 6396, 1010, 10630, 24096, 1075, 2286, 26646, 1025, 2023, 2003, 2019, 2330, 1011, 3229, 3720, 5500, 2104, 1996, 3408, 1997, 1996, 5541, 7674, 2012, 18886, 29446, 6105, 1006, 8299, 1024, 1013, 1013, 5541, 9006, 16563, 1012, 8917, 1013, 15943, 1013, 2011, 1013, 1016, 1012, 1014, 1007, 1010, 2029, 14245, 16591, 20623, 2224, 1010, 4353, 1010, 1998, 14627, 1999, 2151, 5396, 1010, 3024, 1996, 2434, 2147, 2003, 7919, 6563, 1012, 1064, 10061, 1064, 1064, 1064, 4281, 1024, 3674, 2828, 1997, 16492, 13341, 2015, 1010, 3251, 4958, 3593, 11137, 1013, 9099, 10278, 3981, 2099, 2030, 9099, 29278, 27651, 2140, 1010, 2227, 2102, 13341, 2015, 1010, 2024, 3253, 2000, 5022, 2007, 1013, 2302, 11707, 16492, 22520, 2011, 3255, 2968, 15744, 1006, 2557, 18738, 1010, 6887, 7274, 2401, 18886, 12837, 1010, 1998, 2019, 4355, 15689, 20282, 22522, 2015, 1007, 1012, 2348, 2025, 4844, 2011, 1996, 2833, 1998, 4319, 3447, 1006, 17473, 1007, 1010, 13341, 2015, 2024, 2108, 2864, 2007, 2019, 3445, 6075, 1006, 8148, 1003, 1007, 1010, 2024, 4050, 2460, 1011, 3772, 1998, 20694, 2058, 1996, 2936, 1011, 2744, 1010, 2096, 14944, 5022, 2000, 2350, 10831, 1013, 12763, 1012, 4725, 1024, 2005, 2116, 5022, 2007, 16492, 3255, 2894, 1998, 2053, 11707, 22520, 1010, 1996, 1000, 3112, 1000, 1997, 4958, 3593, 11137, 13341, 2015, 2089, 3432, 8339, 1996, 2969, 1011, 3132, 2607, 1997, 1996, 4295, 1012, 14084, 1010, 2348, 2216, 2007, 11707, 19314, 2089, 3325, 25354, 2030, 2053, 3255, 4335, 1010, 14996, 2122, 13341, 2015, 1006, 4050, 8564, 1999, 1037, 2186, 1997, 2093, 1007, 4895, 2638, 9623, 22740, 2135, 14451, 2015, 2068, 2000, 1996, 16112, 10831, 1010, 2096, 2036, 29391, 5970, 1998, 9280, 14944, 2068, 2000, 2062, 5729, 1013, 4568, 23130, 15074, 2015, 1012, 3463, 1024, 3674, 3522, 4311, 21893, 19450, 4958, 3593, 11137, 26261, 22943, 13341, 2015, 4525, 1999, 2273, 2075, 13706, 1010, 6909, 1010, 26287, 1010, 1998, 2331, 1012, 1996, 2415, 2005, 4295, 2491, 1006, 26629, 1007, 4919, 4453, 2423, 6677, 1006, 2116, 2349, 2000, 2004, 4842, 19791, 12650, 1007, 1010, 28489, 5022, 5305, 6675, 1010, 1998, 2403, 1010, 2199, 6086, 2000, 19450, 26261, 29514, 1012, 6600, 1010, 2116, 2060, 5022, 4503, 2060, 12763, 2008, 2175, 4895, 2890, 6442, 2098, 1013, 2104, 2890, 6442, 2098, 1024, 2060, 2166, 1011, 8701, 15245, 1010, 16492, 8331, 29324, 1006, 1014, 1012, 1018, 1011, 1020, 1003, 1007, 1010, 2597, 2389, 14978, 2015, 1006, 2654, 1003, 1007, 1010, 4748, 21579, 19027, 2818, 3630, 28173, 7315, 1006, 1020, 1011, 2385, 1003, 1007, 1010, 18479, 3401, 21890, 7393, 1010, 2250, 7861, 14956, 2964, 1010, 24471, 3981, 2854, 20125, 1010, 27395, 9597, 1010, 26721, 12044, 15431, 13341, 2015, 1006, 1021, 1012, 1023, 1011, 2340, 1012, 1020, 1003, 1007, 1010, 6909, 1010, 26290, 1010, 23130, 15074, 2015, 1013, 26287, 1010, 19610, 10610, 9335, 1010, 25750, 1010, 1998, 2331, 1012, 15306, 1024, 2348, 1996, 6666, 2005, 4958, 3593, 11137, 26261, 22943, 13341, 2015, 2089, 2421, 25354, 3255, 4335, 2005, 2216, 2007, 1013, 2302, 11707, 4295, 1010, 1996, 20889, 1997, 10831, 7108, 2000, 2122, 13341, 2015, 2041, 27204, 7898, 1996, 6666, 1012, 3145, 22104, 1024, 12763, 1010, 4958, 3593, 11137, 16492, 13341, 2015, 1010, 8985, 1010, 16492, 8331, 29324, 1064, 2129, 2000, 21893, 2023, 3720, 1024, 1064, 26646, 11265, 1012, 1996, 10831, 1997, 4958, 3593, 11137, 1998, 9099, 29278, 27651, 2140, 26261, 22943, 13341, 2015, 1999, 1996, 8560, 1024, 8570, 1998, 1037, 7721, 3319, 1997, 1996, 3906, 1012, 7505, 2290, 11265, 10976, 2140, 20014, 2286, 1025, 1018, 1010, 10514, 9397, 2140, 1055, 2475, 1024, 6356, 1011, 6109, 1064, 4955, 1064, 1064, 1064, 3255, 15744, 1010, 2164, 2019, 4355, 15689, 20282, 22522, 2015, 1010, 6887, 7274, 2401, 18886, 12837, 1010, 1998, 2557, 18738, 1010, 2024, 6233, 4488, 3674, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 16492, 13341, 2015, 1012, 2122, 13341, 2015, 14451, 5022, 2007, 2030, 2302, 11707, 4295, 1010, 2000, 3278, 22822, 17062, 3012, 1998, 2130, 13356, 1012, 2348, 13341, 2015, 2089, 15804, 8030, 2005, 2216, 2302, 11707, 22520, 1010, 2023, 1000, 4335, 1000, 2089, 3432, 19680, 2007, 1996, 2969, 1011, 3132, 2607, 1997, 1996, 4295, 1012, 7297, 1010, 2005, 2216, 2007, 11707, 22520, 1010, 13341, 2015, 2089, 6022, 8536, 2128, 24871, 5970, 1010, 4525, 1999, 3445, 4568, 23130, 15074, 2015, 1031, 2795, 1015, 1033, 1010, 1031, 2795, 1016, 1033, 1998, 1031, 2795, 1017, 1033, 1012, 1064, 2795, 1015, 1024, 12763, 1998, 13105, 1997, 16492, 6970, 10278, 3981, 2099, 4958, 3593, 11137, 1006, 6970, 10278, 3981, 2099, 4958, 3593, 11137, 26261, 22943, 13341, 1007, 1998, 9099, 29278, 27651, 2140, 4958, 3593, 11137, 26261, 22943, 13341, 2015, 1064, 11562, 2182, 2000, 3193, 1064, 2795, 1016, 1024, 4958, 3593, 11137, 28711, 13341, 2015, 4525, 1999, 17718, 29443, 23115, 2401, 2030, 15050, 6545, 1064, 11562, 2182, 2000, 3193, 1996, 16514, 10831, 1997, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 26261, 22943, 13341, 2015, 2031, 3728, 2042, 2405, 1010, 3391, 2216, 19450, 2007, 2004, 4842, 19791, 12650, 4525, 1999, 10611, 2273, 2075, 13706, 1012, 6600, 1010, 2005, 2086, 1010, 5022, 2031, 2042, 6086, 2000, 2012, 2560, 1037, 1015, 1011, 1016, 1003, 3891, 1997, 8985, 1006, 2763, 2116, 2175, 4895, 2890, 6442, 2098, 1013, 2104, 1011, 2988, 1007, 1010, 2753, 1003, 1997, 2029, 9125, 2358, 9331, 29598, 24163, 27631, 8740, 23446, 1010, 4525, 1999, 9785, 13706, 1010, 9808, 2618, 16940, 20806, 7315, 1010, 4958, 3593, 11137, 14689, 9623, 2015, 1010, 2004, 2092, 2004, 2273, 2075, 13706, 1012, 3086, 1010, 2174, 1010, 2323, 2036, 2022, 3825, 2000, 1996, 3176, 1998, 2130, 2062, 2691, 10831, 1997, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 13341, 2015, 1012, 2122, 2421, 1024, 3445, 23130, 26118, 1013, 26287, 1013, 17718, 29443, 23115, 2401, 1010, 26721, 12044, 15431, 13341, 2015, 1006, 1021, 1012, 1023, 1011, 2340, 1012, 1020, 1003, 1007, 1010, 8292, 2890, 12618, 13102, 13290, 8331, 1006, 20116, 2546, 1007, 7345, 7068, 2015, 1006, 1014, 1012, 1018, 1011, 1020, 1003, 1007, 1010, 14516, 2597, 2389, 14978, 2015, 1006, 2654, 1003, 1007, 1010, 19027, 2818, 3630, 28173, 7315, 1006, 1020, 1011, 2385, 1003, 1007, 1010, 18479, 3401, 21890, 7393, 1010, 2250, 7861, 14956, 2964, 1010, 24471, 3981, 2854, 20125, 1010, 27395, 9597, 1010, 26721, 12044, 15431, 13341, 2015, 1006, 1021, 1012, 1023, 1011, 2340, 1012, 1020, 1003, 1007, 1010, 6909, 1010, 26290, 1010, 23130, 15074, 2015, 1013, 26287, 1010, 19610, 10610, 9335, 1010, 25750, 1010, 1998, 2331, 1031, 2795, 1015, 1033, 1998, 1031, 2795, 1016, 1033, 1012, 1010, 1010, 1010, 1010, 1010, 1010, 1010, 1010, 1010, 2348, 2045, 2089, 2022, 25354, 6666, 1997, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 16492, 13341, 2015, 2005, 5022, 2007, 2119, 2512, 26210, 26715, 1998, 11707, 4295, 1010, 2122, 13341, 2015, 2058, 2195, 2706, 1010, 2089, 4895, 2638, 9623, 22740, 2135, 3395, 5022, 2000, 2350, 2166, 1011, 8701, 10831, 2096, 29391, 4022, 2128, 24871, 5970, 1012, 1999, 2460, 1010, 1996, 10831, 2041, 27204, 2232, 1996, 6666, 1012, 1064, 2739, 1997, 15245, 7108, 2000, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 26261, 22943, 13341, 2015, 1064, 1064, 1064, 1996, 22822, 17062, 3012, 13356, 4882, 3189, 1997, 1996, 6401, 2005, 4295, 2491, 1006, 26629, 1007, 1998, 9740, 2405, 1996, 2206, 3189, 2006, 2255, 2539, 1010, 2262, 1024, 4800, 9153, 2618, 8293, 1997, 28079, 8985, 3378, 2007, 13341, 1997, 25003, 28139, 2094, 8977, 12898, 2638, 9078, 12259, 1006, 6131, 2050, 1007, 5576, 2013, 1037, 2309, 7328, 2075, 13882, 1011, 2142, 2163, 1010, 2262, 1012, 1996, 5298, 2533, 1997, 2740, 2001, 22333, 2008, 1037, 5776, 7718, 3893, 2005, 2004, 4842, 19791, 2271, 11865, 4328, 20697, 2271, 2273, 2075, 13706, 4805, 2420, 2044, 2019, 4958, 3593, 11137, 26261, 22943, 13341, 1006, 9686, 2072, 1007, 1006, 3653, 8043, 20203, 3726, 1011, 2489, 6131, 2050, 5576, 2008, 2018, 2042, 1000, 7328, 2098, 2012, 2047, 2563, 7328, 2075, 2415, 1006, 26785, 2278, 1007, 1999, 20241, 3511, 1010, 4404, 1012, 1000, 2011, 2255, 2184, 1010, 2262, 1010, 1996, 26629, 1010, 3674, 2740, 7640, 1010, 1998, 1996, 2833, 1998, 4319, 3447, 1006, 17473, 1007, 2179, 14989, 3572, 1998, 2260, 6677, 1999, 2184, 2163, 1012, 2011, 2255, 2756, 1010, 2262, 1010, 1996, 26629, 2018, 4453, 2423, 6677, 2349, 2000, 4958, 3593, 11137, 26261, 22943, 1011, 3141, 2273, 2075, 13706, 1006, 2116, 2349, 2000, 2004, 4842, 19791, 12650, 1007, 1010, 2007, 28489, 5022, 5305, 6675, 1999, 2324, 2163, 1010, 1998, 2019, 3176, 2403, 1010, 2199, 5022, 3497, 6086, 2000, 19450, 26261, 29514, 1012, 1996, 4945, 2000, 23613, 15176, 12233, 6887, 27292, 20499, 1037, 4945, 2000, 23613, 15176, 12233, 6887, 27292, 20499, 2003, 1996, 2556, 3579, 1997, 6594, 1010, 2004, 1000, 23753, 2304, 3097, 3043, 1000, 1998, 1000, 2317, 10882, 10278, 4765, 3560, 8153, 1000, 2031, 2042, 2179, 1999, 19450, 28475, 2015, 1997, 26261, 29514, 1012, 1996, 2047, 2259, 2335, 2036, 2988, 1999, 2255, 1997, 2262, 1000, 23753, 1011, 3756, 21755, 2006, 26261, 15928, 3989, 3941, 1010, 9972, 15026, 2007, 3798, 1997, 18282, 1010, 1998, 10327, 2008, 14872, 1996, 2194, 1005, 1055, 2219, 4483, 6537, 1000, 1999, 2028, 1997, 1996, 12233, 6887, 27292, 20499, 1012, 2047, 2563, 7328, 2075, 2415, 1996, 26785, 2278, 3024, 1996, 19450, 28475, 2015, 1997, 6131, 2050, 2008, 2001, 14609, 2000, 2031, 3303, 1996, 3522, 28079, 2273, 2075, 13706, 8293, 3378, 2007, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 16492, 13341, 2015, 1012, 5875, 2135, 1010, 2028, 2095, 3283, 1010, 1996, 3830, 2005, 1996, 26261, 22943, 6358, 23067, 2290, 1010, 7609, 2011, 7067, 1011, 13854, 5490, 10179, 10322, 1010, 2001, 2904, 2000, 5769, 1000, 4958, 3593, 11137, 13341, 2001, 2025, 6749, 1012, 1000, 1052, 8873, 6290, 1010, 2174, 1010, 2506, 2000, 5271, 2037, 2544, 1997, 6131, 2050, 1006, 2139, 6873, 1011, 19960, 13153, 1007, 2302, 5432, 1012, 12654, 1024, 1996, 26629, 1006, 2255, 2756, 1010, 2262, 1007, 2988, 2423, 6677, 2349, 2000, 2273, 2075, 13706, 1010, 28489, 5022, 5305, 6675, 1999, 2324, 2163, 1010, 1998, 2019, 3176, 2403, 1010, 2199, 5022, 2763, 6086, 2000, 19450, 26261, 29514, 1012, 3618, 17473, 7816, 1997, 7328, 2075, 6401, 2003, 10943, 2098, 2000, 13642, 5339, 2107, 7524, 2015, 1013, 8293, 2015, 1999, 1996, 2925, 1012, 2739, 1997, 2273, 2075, 13706, 7108, 2000, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 26261, 22943, 13341, 2015, 4606, 2060, 10831, 1997, 9113, 4053, 1010, 26287, 1010, 1998, 13692, 8554, 8684, 3264, 2025, 2069, 1996, 3522, 8293, 1997, 28079, 2273, 2075, 13706, 4525, 2013, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 16492, 13341, 2015, 1010, 2021, 2036, 11548, 2008, 2122, 1000, 2168, 13341, 2015, 2031, 2036, 2146, 2042, 5799, 2000, 2060, 4678, 2021, 14886, 12763, 1010, 2164, 9113, 4053, 1010, 26287, 1010, 1998, 13692, 1012, 1000, 1010, 2002, 4919, 6851, 2008, 4958, 3593, 11137, 13341, 2015, 16911, 26261, 29514, 1010, 1000, 2096, 4844, 2005, 3594, 2066, 2128, 8751, 6455, 21733, 1999, 17651, 1010, 2031, 2025, 2042, 4844, 2011, 1996, 17473, 2005, 4958, 3593, 11137, 13341, 2015, 1010, 2279, 2000, 1996, 16492, 11601, 1012, 1000, 2036, 7727, 2000, 2216, 2040, 2351, 1997, 2273, 2075, 13706, 1010, 2852, 1012, 2520, 28570, 1010, 1037, 2934, 1997, 11265, 10976, 6483, 2012, 2899, 2118, 1999, 2358, 1012, 3434, 1010, 5284, 1010, 3264, 1024, 1000, 2025, 2069, 2020, 2122, 2111, 2730, 1010, 2021, 2045, 2001, 2053, 12962, 3114, 2000, 2507, 2023, 3949, 1012, 1000, 12654, 1024, 4958, 3593, 11137, 1013, 9099, 29278, 27651, 2140, 16492, 13341, 2015, 2089, 2025, 2069, 2765, 1999, 28079, 2273, 2075, 13706, 1010, 2021, 2024, 2036, 3378, 2007, 2060, 14886, 12763, 1010, 2008, 2421, 9113, 4053, 1013, 26287, 1010, 1998, 13692, 1012, 7297, 1010, 1000, 2096, 4844, 2005, 3594, 2066, 2128, 8751, 6455, 21733, 1999, 17651, 1010, 2031, 2025, 2042, 4844, 2011, 1996, 17473, 2005, 4958, 3593, 11137, 13341, 2015, 1010, 2279, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5317, 2145, 2332, 2005, 2070, 2004, 3356, 3028, 2188, 12384, 2545, 8489, 3514, 4522, 2043, 4477, 17359, 2546, 4149, 2010, 2188, 1999, 2167, 13433, 2213, 19699, 3388, 2538, 2086, 3283, 1010, 2009, 2234, 2007, 1037, 3459, 3707, 5660, 16247, 1998, 2055, 2048, 6197, 1997, 5317, 1012, 2096, 2025, 16533, 2000, 3684, 2007, 5317, 1999, 1996, 2146, 2744, 1010, 2002, 2787, 2000, 2224, 2054, 2001, 2800, 1010, 4083, 1996, 2986, 2685, 1997, 9756, 1996, 16247, 1521, 1055, 4860, 2013, 1037, 5660, 8654, 2109, 2011, 2010, 2564, 1521, 1055, 7133, 1012, 2002, 2085, 7641, 2055, 2048, 1011, 1998, 1011, 1037, 1011, 2431, 6197, 1997, 5317, 2169, 3467, 1998, 25654, 2007, 3514, 3684, 1012, 1006, 3028, 2739, 1011, 2508, 1049, 1012, 12424, 1007, 5309, 6302, 25364, 2015, 1090, 4477, 17359, 2546, 15665, 1996, 2543, 3482, 2007, 2431, 1037, 13610, 1997, 5317, 1999, 1996, 2851, 1998, 2009, 7641, 2035, 2154, 1012, 2002, 17469, 2009, 2007, 1996, 2060, 2431, 2012, 2305, 1998, 2009, 7641, 2083, 2127, 2851, 1012, 1006, 3028, 2739, 1011, 2508, 1049, 1012, 12424, 1007, 5309, 6302, 25364, 2015, 1090, 4477, 17359, 2546, 2211, 2000, 2224, 2010, 3035, 4448, 5317, 5660, 16247, 2153, 2055, 2274, 2086, 3283, 2043, 10808, 3514, 7597, 2318, 2000, 4125, 1012, 1999, 2804, 2000, 3684, 1010, 2002, 2038, 2109, 1996, 17428, 1998, 1996, 2846, 2005, 8434, 1012, 1006, 3028, 2739, 1011, 2508, 1049, 1012, 12424, 1007, 5309, 6302, 25364, 2015, 1090, 14393, 1517, 5317, 2005, 4234, 1029, 2748, 1010, 3531, 1010, 2360, 1037, 2235, 2193, 1997, 3356, 3028, 3901, 1010, 2040, 6402, 1996, 9754, 2005, 2188, 3684, 1010, 1998, 2025, 2074, 2012, 6209, 2051, 1012, 2023, 3475, 1521, 1056, 2115, 5615, 1521, 1055, 2978, 12717, 18674, 5317, 1010, 2174, 1010, 1996, 2828, 2008, 2320, 25788, 2137, 15717, 1010, 3655, 1998, 4480, 1012, 2023, 2003, 14405, 13492, 17847, 5317, 1010, 2029, 2049, 20401, 2000, 4904, 2004, 1037, 20133, 1010, 16269, 1998, 2062, 3928, 4522, 1999, 2122, 2335, 1997, 2152, 3514, 7597, 1012, 2893, 2008, 4471, 2041, 1010, 2174, 1010, 2965, 4633, 2075, 1037, 20228, 11031, 6525, 1997, 6234, 1998, 4997, 9597, 1012, 1998, 2025, 3071, 1999, 6427, 1012, 1523, 2043, 1045, 2360, 1045, 6402, 5317, 2012, 2188, 1010, 1045, 2788, 2131, 2023, 29088, 2298, 1997, 5469, 2006, 2111, 1521, 1055, 5344, 1010, 1521, 1521, 2056, 4477, 17359, 2546, 1010, 1037, 5139, 1011, 2095, 2214, 13433, 2213, 19699, 3388, 6319, 1998, 14393, 4944, 2040, 12374, 2665, 2640, 1999, 2010, 3934, 1012, 1523, 2027, 5482, 2009, 2007, 1996, 2373, 4264, 1999, 1996, 13608, 2008, 2024, 5255, 2978, 12717, 18674, 1010, 9422, 5317, 1012, 1523, 1045, 2031, 2000, 4863, 2023, 2003, 1037, 20133, 2544, 1010, 2021, 2009, 1521, 1055, 2524, 2000, 2131, 2111, 2000, 2903, 2008, 1010, 2138, 2045, 1521, 1055, 2107, 1037, 26453, 1010, 1524, 17359, 2546, 2056, 1012, 1523, 1045, 2018, 1996, 2168, 3110, 2183, 2046, 2009, 1010, 2941, 1012, 1045, 2134, 1521, 1056, 2215, 2000, 2022, 4526, 2026, 2219, 3167, 5648, 4542, 6112, 2682, 2026, 2160, 1012, 1521, 1521, 17359, 2546, 6589, 2006, 1996, 5317, 2316, 4213, 7446, 2471, 2011, 4926, 1012, 2002, 1998, 2010, 2564, 4149, 1037, 1016, 1010, 2199, 1011, 2675, 1011, 3329, 2160, 2328, 1999, 1996, 2220, 3708, 2301, 1998, 2179, 2009, 2234, 2007, 1037, 5317, 1011, 5045, 26929, 26525, 2063, 1999, 1996, 3829, 1012, 1996, 3232, 1521, 1055, 2034, 2245, 2001, 2000, 2131, 9436, 1997, 1996, 10439, 15204, 3401, 1010, 2029, 2001, 2069, 2055, 2184, 2086, 2214, 2021, 15826, 1037, 2640, 7609, 2005, 2062, 2084, 1037, 2301, 1012, 2045, 2020, 1037, 3232, 6197, 1997, 14405, 13492, 17847, 5317, 1999, 1037, 8026, 2012, 1996, 2160, 1010, 2174, 1010, 1998, 17359, 2546, 2787, 2000, 6402, 2009, 2039, 2000, 2131, 9436, 1997, 2009, 1012, 1523, 2320, 2057, 6618, 2041, 2129, 2000, 15176, 1006, 1996, 16247, 1007, 1010, 2057, 3062, 1999, 2293, 2007, 2009, 1010, 1521, 1521, 2056, 17359, 2546, 1010, 2040, 2018, 2010, 2188, 10601, 2321, 2086, 3283, 1010, 2029, 5301, 2049, 2943, 8122, 1012, 1523, 2009, 11618, 2041, 2019, 6429, 3815, 1997, 3684, 1998, 1996, 14405, 13492, 17847, 7641, 2200, 4550, 1998, 2200, 10862, 2035, 2154, 2146, 1012, 1045, 5466, 1999, 1037, 13610, 1997, 5317, 1999, 1996, 2851, 1998, 2178, 2012, 2305, 1012, 2009, 1521, 1055, 2061, 2172, 6082, 2084, 2478, 3536, 1012, 2017, 2123, 1521, 1056, 2031, 2000, 3013, 2009, 1010, 3975, 2009, 2030, 8011, 2009, 2105, 1012, 1521, 1521, 17359, 2546, 2056, 5255, 5317, 3640, 5560, 3770, 3867, 1997, 2010, 2155, 1521, 1055, 2188, 3684, 1012, 2019, 3514, 1011, 5045, 15635, 1999, 1996, 8102, 3640, 2980, 2300, 1998, 4240, 2004, 1037, 10200, 2000, 1996, 5317, 16247, 1012, 2169, 2095, 1996, 2155, 23311, 2048, 14412, 13461, 1010, 2169, 2007, 8442, 2871, 1011, 9044, 8641, 1997, 8871, 5317, 16371, 13871, 8454, 1012, 1996, 14412, 13461, 17042, 1037, 4117, 1016, 1012, 1019, 6197, 1998, 3465, 2625, 2084, 1002, 5385, 2561, 1012, 1523, 1045, 2123, 1521, 1056, 2568, 1996, 2210, 2978, 1997, 4469, 2147, 2138, 1045, 2196, 2031, 2000, 4550, 2026, 17321, 1010, 1521, 1521, 17359, 2546, 2056, 1010, 7727, 2000, 1996, 2342, 2000, 3665, 1996, 5317, 2000, 2010, 2160, 2013, 2225, 8341, 1010, 7170, 1996, 16247, 1998, 2202, 6683, 2000, 1996, 28382, 1012, 1523, 2057, 1521, 2128, 7079, 2625, 2084, 2431, 1997, 2054, 2057, 2020, 7079, 2000, 3684, 2007, 3514, 2195, 2086, 3283, 1012, 1521, 1521, 20099, 7445, 1998, 2010, 2564, 1010, 10666, 1010, 2219, 2225, 8341, 5438, 1004, 4425, 1010, 2028, 1997, 1037, 3132, 2193, 1997, 5317, 17088, 1999, 1996, 3356, 3028, 1012, 7445, 2056, 2010, 3573, 15187, 2090, 2753, 1998, 3438, 6197, 2566, 2095, 1998, 1996, 3465, 2023, 2733, 2001, 1002, 28469, 2566, 10228, 1012, 2060, 17088, 2421, 9388, 3217, 2188, 2415, 1999, 23716, 1998, 2422, 2026, 2543, 16247, 2015, 1998, 18651, 2015, 1999, 2064, 14634, 1012, 10808, 3514, 1999, 1996, 3356, 3028, 2003, 2055, 1002, 1017, 1012, 3770, 2566, 25234, 2122, 2420, 1010, 5834, 2006, 1996, 11033, 1010, 1998, 17678, 7231, 2003, 2055, 1037, 7922, 2625, 2005, 1996, 2168, 3815, 1012, 2188, 8470, 1999, 2225, 8341, 2003, 4855, 3536, 21877, 22592, 2015, 2005, 1002, 19348, 2566, 10228, 1012, 17394, 6224, 1996, 2168, 2943, 6434, 1999, 2329, 9829, 3197, 1006, 18411, 2271, 1007, 2000, 3976, 6463, 2013, 2060, 20145, 2052, 2342, 1012, 2241, 2006, 2943, 6434, 1010, 10808, 3514, 2052, 2342, 2000, 5271, 2005, 5560, 1002, 1015, 1012, 3438, 2566, 25234, 1010, 17678, 7231, 2005, 1002, 1015, 1012, 5840, 2566, 25234, 1998, 3536, 21877, 22592, 2015, 2005, 1002, 15376, 2566, 10228, 2000, 2674, 1996, 3976, 1997, 5317, 1010, 2429, 2000, 1037, 1057, 1012, 1055, 1012, 2533, 1997, 2943, 3784, 4762, 3465, 4512, 3673, 1012, 2728, 5143, 1010, 1037, 3394, 2942, 3992, 2040, 3268, 1999, 2940, 1010, 1050, 1012, 1044, 1012, 1010, 2055, 2322, 2661, 2225, 1997, 28680, 1010, 23311, 2048, 14412, 13461, 1997, 5317, 2566, 3467, 2013, 7445, 1521, 3573, 1010, 18276, 2009, 2188, 1999, 2019, 14361, 2390, 4744, 1012, 2012, 3963, 1010, 2002, 2053, 2936, 4122, 2000, 3013, 1010, 3975, 1998, 6402, 3536, 12731, 11001, 2013, 2010, 3590, 1011, 7456, 3659, 1010, 1998, 2106, 2070, 3465, 16268, 2077, 11991, 2067, 2000, 5317, 1010, 2029, 2002, 1521, 1040, 2109, 2005, 1037, 7683, 2062, 2084, 1037, 5476, 3283, 1012, 1523, 1045, 3828, 2058, 1002, 1015, 1010, 2199, 2566, 2095, 2058, 2478, 3514, 1010, 1521, 1521, 2056, 5143, 1010, 3005, 1015, 1010, 3156, 1011, 2675, 1011, 3329, 2160, 2838, 1037, 5040, 5894, 1998, 13974, 2656, 1010, 2199, 11919, 2519, 1012, 1523, 2067, 1999, 1996, 2214, 2420, 1010, 2026, 4268, 1998, 1045, 2052, 3013, 1998, 2224, 2184, 24551, 1997, 2543, 3702, 1037, 2095, 1012, 1521, 1521, 9781, 7500, 1998, 5647, 18196, 25626, 4575, 1997, 1048, 25219, 2056, 2002, 13169, 2130, 2062, 2138, 2002, 9144, 1999, 9625, 1012, 2002, 8267, 1523, 16632, 20874, 1521, 1521, 2013, 1037, 3552, 2194, 2008, 3719, 2032, 4524, 5999, 14405, 13492, 17847, 2011, 1996, 16358, 9117, 7170, 1517, 2055, 2570, 6197, 2566, 9117, 1012, 4575, 8617, 1998, 9020, 2321, 12635, 3197, 1999, 1048, 25219, 1998, 12634, 1010, 1998, 2348, 2002, 2109, 2000, 6402, 9781, 2000, 3684, 2068, 1010, 2002, 3728, 7237, 2058, 2000, 5317, 20412, 1012, 1523, 1045, 3477, 2055, 2382, 3867, 1997, 1996, 3465, 1997, 4762, 3514, 2021, 1045, 4965, 3495, 2013, 1996, 3067, 1010, 1521, 1521, 4575, 2056, 1012, 1523, 7955, 2758, 2009, 1521, 1055, 6530, 1998, 2524, 2000, 3066, 2007, 1010, 1998, 2009, 1521, 1055, 2074, 2025, 1012, 7955, 5720, 2033, 2041, 1997, 1006, 2478, 14405, 13492, 17847, 1007, 2077, 1010, 1998, 2009, 4332, 2041, 2027, 2020, 3308, 1012, 1521, 1521, 4575, 2056, 2002, 2038, 3667, 4895, 11066, 1996, 5317, 2007, 1037, 9292, 18412, 1998, 3031, 1037, 4257, 8270, 4744, 2008, 6762, 2012, 2010, 12635, 5144, 1010, 2073, 1996, 8641, 2024, 16934, 1012, 2002, 2056, 2002, 1521, 1055, 1999, 1996, 2832, 1997, 15696, 12230, 15635, 3506, 2005, 2169, 3200, 1012, 1996, 20412, 1998, 2041, 25820, 2015, 1523, 4995, 1521, 1056, 10036, 2021, 1996, 3477, 5963, 2003, 2061, 6918, 2043, 2017, 6402, 2023, 3872, 1997, 4762, 1010, 1521, 1521, 4575, 2056, 1012, 1523, 1045, 2036, 2288, 2046, 2009, 2138, 1045, 2228, 1006, 1996, 3842, 1521, 1055, 1007, 4762, 3663, 2003, 1037, 2210, 3653, 10010, 6313, 1998, 2023, 2126, 1045, 2491, 2026, 2219, 4425, 1012, 2027, 2064, 7752, 2019, 3514, 20135, 4873, 1998, 1045, 1521, 2310, 2145, 2288, 2026, 5317, 1012, 1521, 1521, 2990, 2358, 4887, 18032, 4059, 2003, 1037, 9133, 2012, 1038, 27067, 8684, 5317, 1999, 24404, 3630, 2100, 2103, 1010, 6643, 1012, 1010, 2029, 15768, 2225, 8341, 5438, 1004, 4425, 2007, 14405, 13492, 17847, 1012, 2358, 4887, 18032, 4059, 2056, 5157, 2005, 1996, 4031, 2038, 2042, 2061, 2844, 2008, 2010, 2194, 2018, 2000, 3313, 1999, 2946, 2076, 1996, 2197, 2095, 1998, 2441, 2019, 3176, 1002, 2423, 2454, 3269, 1012, 2002, 2056, 1037, 2047, 4245, 1997, 14405, 13492, 17847, 1011, 5255, 16247, 2015, 1998, 20412, 2764, 1998, 2853, 1999, 1996, 2197, 6474, 2086, 2038, 22464, 2172, 1997, 1996, 5157, 1012, 3976, 8483, 2013, 2055, 1002, 1016, 1010, 2199, 2000, 1002, 1018, 1010, 2199, 2005, 1037, 2188, 1011, 2224, 3131, 1998, 11216, 2031, 2499, 2000, 2191, 2068, 2062, 8702, 1998, 6082, 2000, 2224, 1012, 1523, 2009, 3849, 2066, 2296, 3204, 2009, 1521, 1055, 2893, 2062, 1010, 1521, 1521, 2358, 4887, 18032, 4059, 2056, 1997, 1996, 14405, 13492, 17847, 5157, 1012, 1523, 2057, 2031, 1037, 11033, 1999, 17778, 1010, 10622, 1010, 2085, 1010, 1998, 1999, 2752, 2073, 5255, 3536, 2038, 2042, 2200, 15157, 1010, 2023, 2003, 1037, 4550, 1011, 5255, 4522, 1012, 1521, 1521, 2358, 4887, 18032, 4059, 3264, 2008, 2010, 2194, 3685, 3067, 2006, 6261, 2455, 1010, 2021, 2442, 10667, 8736, 2091, 1999, 4704, 7134, 1998, 2008, 1523, 2296, 7456, 2057, 2147, 2006, 2442, 2022, 5854, 2000, 2783, 3785, 1012, 2057, 10667, 2091, 6748, 1998, 2059, 6039, 1999, 2025, 2069, 2054, 2057, 8655, 1010, 2021, 2054, 2619, 2842, 8655, 2531, 2086, 3283, 1012, 2059, 2057, 2404, 2006, 13284, 10448, 2140, 1998, 7065, 24746, 12259, 2009, 1012, 1521, 1521, 1037, 4861, 2404, 2041, 2011, 1038, 27067, 8684, 2006, 1037, 11033, 1521, 1055, 4037, 9631, 1024, 1523, 2096, 14405, 13492, 17847, 2003, 1037, 10725, 4762, 1010, 2009, 2003, 2019, 5186, 4550, 1011, 5255, 4762, 1998, 2323, 2025, 2022, 5457, 2007, 1996, 2896, 7022, 1997, 5317, 2109, 1999, 1996, 4245, 1997, 6451, 1012, 14405, 13492, 17847, 2003, 2061, 4550, 5255, 2009, 2003, 1037, 5610, 3238, 4762, 1998, 2064, 2022, 2109, 1999, 2752, 2073, 5255, 3536, 2003, 10890, 2349, 2000, 2250, 10796, 1012, 1521, 1521, 5143, 10217, 1012, 1523, 1996, 2235, 8310, 1997, 8554, 13210, 7666, 1045, 2404, 2046, 1996, 2250, 4995, 1521, 1056, 3278, 1010, 1521, 1521, 2002, 2056, 1012, 1523, 1045, 2444, 2871, 2661, 2167, 1997, 1996, 6812, 1006, 1050, 1012, 1044, 1012, 1007, 2373, 3269, 1998, 2130, 2007, 1996, 18157, 17198, 2027, 5361, 1010, 2027, 2404, 2521, 2062, 8554, 13210, 7666, 2046, 1996, 2250, 2084, 1045, 2412, 2097, 1012, 1521, 1521, 2056, 4575, 1024, 1523, 2043, 1045, 2001, 2559, 2046, 5317, 1010, 1045, 2179, 1996, 6351, 24319, 1997, 6451, 2001, 1037, 2843, 3020, 1012, 1521, 1521, 3660, 15746, 1010, 1037, 1048, 25219, 6883, 2040, 17589, 1998, 16062, 2015, 3536, 21877, 22592, 20412, 1010, 3475, 1521, 1056, 2006, 3929, 2006, 2604, 2007, 2216, 9918, 1012, 5317, 1523, 2515, 6402, 4550, 2135, 1998, 2045, 1521, 1055, 1037, 2843, 1997, 18411, 2271, 2566, 9044, 1010, 2021, 2009, 1521, 1055, 2145, 3492, 2522, 18933, 12742, 4933, 1998, 2009, 2064, 4521, 2039, 28885, 1998, 19400, 12432, 1010, 1521, 1521, 2002, 2056, 1012, 1523, 2045, 1521, 1055, 1037, 18111, 2005, 1006, 5317, 1007, 2021, 1045, 2123, 1521, 1056, 2228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2057, 2024, 5220, 2007, 1996, 7655, 1010, 1523, 6114, 7947, 1012, 1524, 2643, 7657, 2010, 2365, 2004, 1996, 7947, 2040, 2001, 1523, 26626, 1998, 5837, 1997, 2273, 1025, 1037, 2158, 1997, 14038, 2015, 1010, 1998, 19056, 2007, 9940, 1524, 1006, 18061, 1012, 5187, 1024, 1017, 1007, 1012, 1996, 6114, 2001, 2005, 1996, 3800, 1997, 17087, 1996, 2375, 1997, 2643, 1010, 1523, 2664, 2009, 7537, 1996, 2935, 2000, 24851, 2032, 1025, 2002, 6045, 2232, 2404, 2032, 2000, 9940, 1024, 2043, 15223, 21146, 7096, 2191, 2010, 3969, 2019, 5378, 2005, 8254, 1524, 1006, 18061, 1012, 5187, 1024, 2184, 1007, 1012, 2057, 2442, 2025, 2228, 1997, 2023, 7947, 2004, 2019, 2742, 2005, 2273, 1010, 2004, 2065, 1999, 6114, 2045, 2003, 1037, 2126, 2041, 1997, 2256, 21883, 1012, 2005, 1996, 7669, 2008, 2057, 2424, 9731, 1999, 2003, 2025, 2417, 21564, 3085, 2011, 2054, 2057, 2064, 2079, 1012, 1996, 2935, 4136, 2149, 2008, 2057, 2031, 2035, 26403, 2098, 1010, 1998, 2008, 12678, 1997, 2023, 8254, 2003, 2331, 1012, 1996, 16793, 4937, 15937, 2964, 1006, 1053, 1012, 2260, 1007, 5176, 2023, 3160, 1024, 1523, 2144, 2059, 1010, 2011, 1996, 19556, 8689, 1997, 2643, 1010, 2057, 10107, 15850, 1998, 10721, 7750, 1010, 2003, 2045, 2053, 2126, 2011, 2029, 2057, 2089, 4019, 2008, 7750, 1010, 1998, 2022, 2153, 2363, 2046, 5684, 1029, 1524, 2008, 2003, 1010, 1996, 5684, 1997, 2643, 1012, 1996, 7514, 2445, 2003, 1010, 1523, 2643, 2097, 2031, 2010, 3425, 8510, 1024, 1998, 3568, 2057, 2442, 2191, 2023, 2440, 9967, 2593, 2011, 9731, 1010, 2030, 2011, 2178, 1012, 1524, 1996, 25323, 2003, 2008, 1996, 2375, 1997, 2643, 2038, 2042, 3714, 2011, 2035, 2111, 1998, 9967, 2442, 2022, 2081, 1999, 2440, 2005, 2008, 9099, 17603, 28231, 1012, 2000, 3305, 4828, 2004, 7947, 2030, 6114, 7947, 1010, 2057, 2442, 2034, 13399, 2008, 2057, 2031, 26403, 2098, 2114, 2643, 1012, 1996, 3469, 4937, 15937, 2964, 1006, 1053, 1012, 2484, 1007, 11859, 8254, 2004, 1523, 2151, 2215, 1997, 23758, 3012, 19662, 1010, 2030, 9099, 17603, 28231, 1997, 1010, 2151, 2375, 1997, 2643, 1010, 2445, 2004, 1037, 3627, 2000, 1996, 9608, 6492, 1012, 1524, 1006, 2156, 1015, 2198, 1017, 1024, 1018, 1012, 1007, 2023, 9099, 17603, 28231, 1997, 2643, 1521, 1055, 2375, 2716, 2588, 2035, 1996, 1523, 28606, 1998, 8364, 1524, 1997, 2643, 1010, 1523, 2061, 2004, 2057, 2024, 2011, 3267, 2336, 1997, 14532, 1010, 5416, 7179, 2000, 16795, 1010, 1998, 2074, 2135, 20090, 2000, 2035, 29115, 1999, 2023, 2088, 1010, 1998, 2008, 2029, 2003, 2000, 2272, 1524, 1006, 1059, 1012, 1048, 1012, 1039, 1012, 1001, 2676, 1007, 1012, 2057, 2024, 2067, 2000, 1996, 3025, 3160, 1024, 2040, 2064, 13225, 1996, 2375, 2030, 3425, 1997, 2643, 1010, 9731, 2030, 2178, 1029, 1996, 29115, 1997, 2023, 2166, 1998, 1996, 2279, 1010, 2404, 2362, 1010, 3685, 13225, 2643, 1010, 2138, 2027, 2024, 2025, 10721, 1012, 3568, 1010, 2057, 3685, 3828, 9731, 1012, 2069, 1996, 6114, 7947, 2064, 3828, 2149, 1012, 2010, 1520, 6114, 1521, 2182, 2006, 3011, 1025, 2926, 2008, 2029, 2002, 4265, 2006, 2010, 2892, 1010, 2003, 1996, 2069, 9967, 2029, 2643, 1996, 2269, 2064, 1998, 2097, 5138, 1012, 1523, 4828, 2081, 18476, 9967, 1010, 2011, 6114, 1996, 2200, 6531, 6303, 2011, 1996, 2375, 1997, 26403, 2545, 1524, 1006, 2728, 4830, 24700, 3240, 1007, 1012, 4828, 1010, 2108, 7746, 1010, 2071, 2202, 2588, 2370, 2256, 15516, 1010, 2108, 14248, 1999, 2256, 2173, 1010, 1998, 2061, 17087, 1996, 3425, 1997, 2643, 1012, 1996, 6531, 2005, 2256, 15516, 2001, 8542, 2041, 2588, 2032, 1012, 2002, 3825, 1996, 16540, 3976, 1012, 2023, 2003, 4828, 1521, 1055, 2147, 1997, 6114, 1010, 2000, 13225, 1996, 3425, 1997, 2643, 1010, 28667, 2239, 6895, 2989, 2149, 2000, 1996, 2269, 1012, 19836, 2059, 1999, 2010, 2147, 1010, 2057, 2113, 2008, 2256, 15516, 2031, 2042, 24280, 1998, 2057, 2031, 2042, 2445, 10721, 2166, 1012, 1996, 12168, 2038, 4161, 2008, 1996, 4828, 2052, 2022, 4654, 2389, 3064, 1998, 10116, 1006, 18061, 1012, 4720, 1024, 2410, 1007, 1012, 1996, 4828, 2097, 2036, 1523, 11867, 6657, 19099, 2116, 3741, 1524, 1006, 4720, 1024, 2321, 1007, 1012, 2010, 2773, 2097, 2175, 2041, 2000, 1996, 3741, 1010, 1998, 1996, 15076, 1997, 5465, 2097, 2022, 3844, 1012, 2119, 5465, 1998, 3741, 2097, 2022, 22741, 2012, 1996, 17979, 1997, 1996, 8036, 1012, 1996, 2332, 1997, 5465, 2003, 11074, 2058, 3741, 2651, 1012, 2292, 2068, 2022, 22741, 2030, 22614, 1012, 2174, 1010, 2292, 2149, 2025, 2022, 5410, 1011, 6181, 2094, 2043, 2009, 3310, 2000, 4013, 27640, 2010, 2773, 1012, 1996, 12168, 1521, 1055, 2540, 2003, 3082, 2004, 2002, 5176, 1010, 1523, 2040, 6045, 2232, 3373, 2256, 3189, 1029, 1998, 2000, 3183, 2003, 1996, 2849, 1997, 1996, 2935, 3936, 1029, 1524, 18850, 5836, 2035, 2216, 2040, 25250, 1996, 8036, 1998, 4299, 2000, 2156, 2273, 2735, 2000, 2643, 1999, 16360, 4765, 6651, 1998, 4752, 1012, 11130, 4455, 2149, 2000, 1523, 13001, 1998, 17612, 2247, 2007, 1996, 12168, 1010, 1998, 2292, 2149, 2022, 24305, 2007, 9940, 2043, 2057, 2156, 2008, 2256, 4428, 2003, 4895, 21572, 8873, 10880, 1010, 1998, 2292, 2149, 17612, 2077, 2643, 1012, 1524, 2057, 2079, 2025, 2128, 5558, 6610, 1999, 2158, 1521, 1055, 13893, 1997, 1996, 8036, 1012, 2057, 2442, 5390, 2058, 6744, 2004, 2106, 4828, 1012, 2323, 2057, 2025, 8328, 4000, 2005, 1996, 6534, 2008, 4212, 2011, 1996, 3971, 5178, 2030, 2426, 1996, 28408, 1010, 2043, 2057, 2113, 2129, 3376, 2003, 1996, 3969, 2417, 21564, 2098, 2011, 1996, 9062, 2668, 1997, 4828, 1029, 2703, 14623, 2370, 1998, 2035, 7767, 1997, 1996, 2773, 2000, 18850, 1010, 3038, 1010, 1523, 2935, 1010, 2040, 6045, 2232, 3373, 2256, 3189, 1010, 1998, 2000, 3183, 2003, 1996, 2849, 1997, 1996, 2935, 3936, 1524, 1006, 17083, 1012, 2260, 1024, 4261, 1516, 4229, 1007, 1012, 4828, 2038, 4961, 2013, 1523, 1037, 8616, 3269, 1010, 1998, 2004, 1037, 7117, 2041, 1997, 4318, 2598, 1025, 2002, 6045, 2232, 2053, 2433, 4496, 2272, 20942, 1025, 1998, 2043, 2057, 4618, 2156, 2032, 1010, 2045, 2003, 2053, 5053, 2008, 2057, 2323, 4792, 2032, 1012, 1524, 1996, 2529, 3239, 2097, 2156, 2069, 1996, 5532, 1012, 2021, 1996, 3239, 1997, 4752, 2097, 2156, 1996, 5053, 1997, 1996, 2332, 1998, 2010, 2983, 1012, 5621, 1010, 4828, 2003, 1523, 26626, 1998, 5837, 1997, 2273, 1025, 1037, 2158, 1997, 14038, 2015, 1010, 1998, 19056, 2007, 9940, 1024, 1998, 2057, 11041, 2004, 2009, 2020, 2256, 5344, 2013, 2032, 1012, 1524, 2273, 3613, 2000, 15454, 4828, 2004, 2935, 1998, 24859, 1012, 13749, 8609, 18679, 2003, 2517, 2006, 2037, 8072, 1998, 1999, 2037, 4506, 1012, 2027, 2123, 1521, 1056, 2903, 2027, 2031, 26403, 2098, 1012, 2027, 9772, 1996, 24859, 2040, 2064, 3828, 2068, 1012, 4828, 2003, 1523, 26626, 1010, 1998, 2057, 19593, 2098, 2032, 2025, 1012, 1524, 2664, 1010, 2023, 2003, 1996, 4828, 2040, 2038, 1523, 15356, 2256, 9940, 2015, 1010, 1998, 3344, 2256, 14038, 2015, 1012, 1524, 1996, 10433, 2298, 2012, 1996, 6114, 4828, 2004, 5303, 2011, 2643, 2005, 2070, 8254, 1997, 2010, 2219, 1012, 2027, 3648, 4828, 2011, 2037, 2219, 4781, 1012, 1996, 3606, 2003, 2008, 4828, 1523, 2001, 5303, 2005, 2256, 9099, 17603, 28231, 2015, 1010, 2002, 2001, 18618, 2005, 2256, 1999, 18515, 14663, 3111, 1024, 1996, 15775, 29472, 13665, 1997, 2256, 3521, 2001, 2588, 2032, 1025, 1998, 2007, 2010, 13560, 2057, 2024, 15027, 1012, 1524, 1996, 3114, 2005, 2256, 2935, 1521, 1055, 6114, 2003, 2008, 1996, 3425, 1997, 2643, 2022, 8510, 1012, 2006, 1996, 2892, 1997, 10250, 21639, 1010, 2256, 24859, 2165, 2588, 2370, 2256, 18294, 8254, 1998, 8871, 2149, 4550, 2007, 2010, 9062, 2668, 1012, 2002, 16540, 2098, 2149, 2007, 2010, 2166, 2013, 2256, 5416, 4270, 2000, 8254, 1998, 2035, 2049, 8465, 1012, 2057, 2024, 15027, 1010, 2417, 21564, 2098, 1010, 4550, 6924, 2013, 2035, 4895, 15950, 14769, 2791, 2011, 1996, 7494, 2147, 1997, 4828, 1012, 2256, 3521, 2001, 2588, 2032, 1012, 2045, 2003, 2053, 3521, 2090, 2149, 1998, 2256, 16581, 2269, 3272, 1999, 4828, 1012, 2703, 2626, 1010, 1523, 3568, 2108, 15123, 2011, 4752, 1010, 2057, 2031, 3521, 2007, 2643, 2083, 2256, 2935, 4441, 4828, 1529, 2005, 2043, 2057, 2020, 2664, 2302, 3997, 1010, 1999, 2349, 2051, 4828, 2351, 2005, 1996, 4895, 3995, 18718, 1529, 2108, 15123, 2011, 2010, 2668, 1010, 2057, 4618, 2022, 5552, 2013, 14532, 2083, 2032, 1524, 1006, 17083, 1012, 1019, 1024, 1015, 1516, 1023, 1007, 1012, 1996, 2206, 2773, 1997, 18850, 7545, 2149, 2000, 1996, 2892, 1997, 10250, 21639, 2011, 2034, 8669, 2000, 2149, 1996, 2342, 2005, 2107, 1037, 2892, 1012, 2000, 2113, 1996, 5995, 1998, 4578, 1997, 1996, 2293, 1997, 2643, 1999, 4828, 1010, 2057, 2442, 2034, 2113, 1996, 4768, 2008, 2038, 2042, 2256, 3679, 6552, 1012, 1523, 2035, 2057, 2066, 8351, 2031, 2908, 2004, 28473, 1025, 2057, 2031, 2357, 3071, 2000, 2010, 2219, 2126, 1025, 1998, 1996, 2935, 6045, 2232, 4201, 2006, 2032, 1996, 1999, 18515, 18518, 1997, 2149, 2035, 1012, 1524, 1996, 8056, 2003, 14635, 2000, 4562, 2004, 9099, 17603, 24137, 2869, 1997, 1996, 2375, 1997, 2643, 1010, 1998, 2061, 2003, 1996, 7750, 1012, 2057, 2031, 4340, 2000, 3582, 2256, 2219, 2969, 1011, 2081, 2346, 1025, 2021, 2023, 2003, 1996, 2346, 2008, 5260, 2000, 2331, 1012, 5688, 2023, 2166, 2007, 2008, 2029, 4828, 3957, 2149, 1012, 2002, 2003, 1996, 11133, 2040, 2038, 2025, 2069, 4201, 2091, 2010, 2166, 2005, 1996, 8351, 1010, 2021, 2002, 2038, 2584, 2041, 1998, 5935, 2010, 8351, 1999, 2010, 2412, 8523, 3436, 2608, 1012, 1996, 2204, 11133, 1010, 2040, 2354, 2053, 8254, 1010, 2038, 3970, 2054, 1996, 2269, 2038, 4201, 2588, 2032, 1024, 1523, 1996, 1999, 18515, 18518, 1997, 2149, 2035, 1012, 1524, 2008, 2029, 2001, 4201, 2588, 2256, 24859, 1010, 2002, 2363, 2302, 2151, 12087, 1024, 1523, 2002, 2441, 2025, 2010, 2677, 1024, 2002, 2003, 2716, 2004, 1037, 12559, 2000, 1996, 14574, 1010, 1998, 2004, 1037, 8351, 2077, 1996, 18330, 2545, 1012, 1524, 2002, 2001, 14248, 2011, 1996, 2269, 2006, 2010, 2892, 2005, 2256, 15516, 1012, 2002, 1523, 15716, 2094, 2370, 1010, 1998, 2150, 15578, 10265, 3372, 19662, 2331, 1010, 2130, 1996, 2331, 1997, 1996, 2892, 1524, 1006, 6316, 1012, 1016, 1024, 1022, 1007, 1012, 2002, 2001, 2579, 2013, 3827, 2000, 2022, 2404, 2000, 2331, 1010, 1037, 6251, 2057, 10849, 1012, 4828, 2351, 1012, 2002, 2001, 1523, 3013, 2125, 2013, 1996, 2455, 1997, 1996, 2542, 1012, 1524, 2002, 2165, 1996, 14532, 1997, 2643, 1010, 2029, 2965, 2008, 2002, 2165, 2256, 10721, 7750, 1012, 2002, 2165, 2256, 5390, 1010, 1523, 2339, 2038, 2102, 15223, 2005, 3736, 7520, 2033, 1029, 1524, 2005, 3736, 7520, 2005, 2256, 9099, 17603, 28231, 2015, 1010, 2002, 2081, 2010, 6542, 1523, 2007, 1996, 10433, 1012, 1524, 2023, 6542, 2052, 2031, 2042, 14635, 2005, 12715, 1012, 18850, 7009, 2008, 1523, 2009, 7537, 1996, 2935, 2000, 24851, 2032, 1012, 1524, 2009, 2001, 1996, 2269, 1521, 1055, 12208, 2000, 2404, 2010, 2365, 2000, 9940, 1012, 2129, 2071, 2256, 16581, 2269, 2424, 2107, 5165, 1999, 5026, 2107, 14038, 2000, 2010, 2365, 1029, 2005, 1996, 2293, 1997, 2010, 4217, 3924, 999, 2043, 1996, 2269, 2081, 1996, 3969, 1997, 4828, 2019, 1523, 5378, 1997, 8254, 1524, 1010, 1996, 2365, 2052, 1523, 2156, 2010, 6534, 1010, 2002, 4618, 4013, 10052, 2010, 2420, 1010, 1998, 1996, 5165, 1997, 1996, 2935, 4618, 4013, 17668, 1999, 2010, 2192, 1012, 1524, 1996, 6331, 7657, 2023, 5165, 1999, 1996, 2365, 1997, 2643, 1010, 1523, 2040, 2005, 1996, 6569, 2275, 2077, 2032, 16753, 1996, 2892, 1010, 4078, 18136, 2075, 1996, 9467, 1010, 1998, 2003, 2275, 2091, 2012, 1996, 2157, 2192, 1997, 1996, 6106, 1997, 2643, 1524, 1006, 2002, 2497, 1012, 2260, 1024, 1016, 1007, 1012, 4828, 2387, 1996, 1523, 19817, 12462, 4014, 1997, 2010, 3969, 1012, 1524, 1996, 2269, 3231, 14144, 2008, 2011, 1996, 2365, 1521, 1055, 1523, 3716, 4618, 2026, 19556, 7947, 16114, 2116, 1025, 2005, 2002, 4618, 4562, 2037, 1999, 18515, 14663, 3111, 1012, 1524, 2045, 2003, 2053, 3382, 1997, 4945, 2006, 1996, 2112, 1997, 2643, 1012, 2010, 2773, 2515, 2025, 2709, 11675, 1012, 2005, 2216, 3183, 4828, 2351, 1024, 2027, 2097, 2022, 5552, 1012, 2256, 2935, 23481, 2651, 2004, 1996, 13846, 2332, 1998, 24859, 1012, 2008, 2029, 2001, 5763, 2003, 2921, 1012, 1996, 2935, 3764, 4415, 2000, 18850, 1010, 13752, 1996, 2147, 1997, 2010, 7947, 2000, 2022, 8885, 2086, 2077, 1996, 2746, 1997, 4441, 1012, 1996, 2269, 5763, 2008, 2002, 2052, 1523, 11443, 2032, 1037, 4664, 2007, 1996, 2307, 1010, 1998, 2002, 4618, 11443, 1996, 27594, 2007, 1996, 2844, 1025, 2138, 2002, 6045, 2232, 8542, 2041, 2010, 3969, 19662, 2331, 1024, 1998, 2002, 2001, 8597, 2007, 1996, 9099, 17603, 24137, 2869, 1025, 1998, 2002, 6436, 1996, 8254, 1997, 2116, 1010, 1998, 2081, 6970, 9623 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4619, 12105, 1528, 2262, 1011, 2286, 8819, 1998, 2465, 8853, 3180, 5270, 2012, 4280, 2003, 3517, 1997, 2035, 2493, 1010, 7539, 1997, 3251, 5270, 2003, 1037, 5387, 1999, 1037, 3076, 1521, 1055, 3694, 2005, 1037, 2607, 1012, 2065, 5270, 2003, 2109, 2000, 24134, 1996, 2345, 7022, 2005, 1996, 2607, 1010, 2008, 2755, 2442, 2022, 7686, 1999, 1996, 2607, 25353, 4571, 8286, 1012, 2043, 2019, 3834, 2030, 4469, 10841, 21231, 4023, 2003, 5115, 1999, 4736, 2007, 1037, 3653, 1011, 4493, 2465, 2051, 1010, 1996, 2465, 3138, 23359, 1025, 7565, 2007, 1996, 9450, 2442, 2022, 2081, 1999, 5083, 2000, 9585, 2493, 2000, 5463, 1996, 19326, 4023, 1012, 2493, 2040, 2024, 5204, 1997, 4022, 9755, 2349, 2000, 2267, 14755, 3450, 2323, 3189, 1998, 6848, 2122, 9755, 2007, 2607, 19922, 2004, 2574, 2004, 2027, 2024, 2124, 1012, 1996, 2267, 16171, 2493, 2000, 5589, 1999, 14755, 3450, 1998, 16171, 4513, 2000, 2191, 7565, 2000, 10956, 2122, 6322, 2073, 2825, 1012, 2465, 16990, 2138, 1997, 4297, 16930, 4765, 4633, 1999, 2296, 3663, 1010, 2119, 3265, 1998, 12148, 1010, 1996, 3247, 2000, 17542, 4280, 2323, 2022, 2579, 2200, 5667, 1012, 1996, 5891, 1997, 1996, 5145, 1998, 1996, 11109, 1997, 1996, 3834, 2565, 11160, 2006, 2296, 2465, 2108, 4146, 2429, 2000, 1996, 6134, 1025, 2004, 2092, 1010, 2045, 2024, 3361, 8223, 9031, 2015, 2005, 2493, 1998, 2037, 12433, 7188, 1037, 2465, 2003, 2025, 2218, 1012, 2043, 20932, 1997, 5729, 4633, 10943, 5494, 1996, 2267, 2030, 29391, 1996, 3098, 1997, 1996, 2267, 1010, 2296, 3535, 2097, 2022, 2081, 2000, 14970, 2023, 3247, 2012, 2560, 2048, 2847, 1999, 5083, 1010, 2000, 8752, 2216, 4513, 1998, 2493, 2040, 2272, 2000, 3721, 2013, 1037, 3292, 1012, 2023, 2592, 2089, 2022, 4663, 2013, 2151, 1997, 1996, 2206, 4216, 1024, 1011, 4297, 16930, 4765, 4633, 2980, 4179, 1006, 19827, 1011, 3438, 2575, 1011, 4805, 24594, 1007, 1011, 2547, 3703, 1024, 1059, 16715, 2480, 2694, 6353, 1010, 1059, 2638, 2361, 2694, 2385, 1011, 2557, 3703, 1024, 24185, 3207, 4718, 5585, 1012, 1023, 1010, 15868, 3406, 4718, 5986, 1012, 1015, 1010, 1059, 20414, 4718, 2531, 1012, 1021, 1010, 11333, 15878, 4718, 9645, 1012, 1015, 1010, 11333, 15878, 2572, 6535, 2692, 1010, 2225, 2572, 20652, 11354, 11146, 2267, 9319, 1037, 9823, 1998, 4083, 4044, 4056, 2000, 12683, 1010, 6018, 1010, 1998, 2658, 9934, 1012, 1996, 2267, 1521, 1055, 2451, 1997, 4083, 2003, 2631, 2588, 1996, 7789, 4071, 1997, 2493, 1998, 4513, 1999, 8463, 1997, 3716, 1998, 4824, 1012, 2107, 2019, 4044, 9041, 2588, 1996, 20062, 1997, 12683, 12736, 1010, 2004, 2092, 2004, 1037, 4847, 2005, 1996, 3795, 8906, 1997, 21386, 2015, 1998, 3451, 15406, 1012, 1996, 2267, 24273, 2493, 2000, 6204, 3209, 1999, 1037, 5450, 2008, 2190, 10919, 2037, 2219, 1998, 2060, 2493, 1521, 2495, 1012, 6413, 9823, 5248, 2950, 1010, 2021, 2003, 2025, 3132, 2000, 1010, 1996, 10908, 2005, 2493, 1024, 2000, 5463, 1998, 2022, 4810, 2005, 2035, 4280, 1010, 2000, 7180, 1998, 2681, 2006, 2051, 1010, 2000, 7438, 1996, 4513, 2372, 1998, 2060, 2493, 2007, 4847, 1010, 2000, 20703, 2013, 2151, 3450, 2306, 1996, 9823, 2008, 2079, 2025, 3495, 2566, 18249, 2000, 1996, 2449, 1997, 1996, 2465, 1010, 2000, 2224, 2653, 2008, 2003, 26438, 1998, 2512, 1011, 20676, 1010, 1998, 2000, 4728, 20703, 2013, 2151, 5248, 2008, 23217, 2015, 2030, 15333, 29477, 17080, 11254, 1996, 4083, 4044, 2004, 4340, 2011, 1037, 9608, 4513, 2266, 1012, 3834, 3454, 2030, 3265, 4513, 2372, 2089, 5323, 3176, 14260, 6043, 2005, 2037, 5352, 1010, 2164, 2216, 2029, 2202, 9823, 5248, 2046, 4070, 2005, 1037, 3076, 1521, 1055, 3834, 9312, 1012, 2065, 1037, 3076, 2052, 2066, 2000, 3288, 1037, 4113, 2000, 2465, 1010, 6656, 2442, 2022, 7119, 2013, 1996, 9450, 3188, 2000, 2008, 2465, 2051, 1012, 4513, 2372, 2024, 4709, 2000, 6869, 2000, 23217, 3512, 3076, 5248, 1012, 10960, 2064, 2846, 2013, 1037, 12064, 5432, 2000, 9034, 1996, 3076, 2000, 2681, 2465, 1012, 4513, 2089, 2582, 5454, 2000, 7438, 15322, 2013, 2465, 2004, 2019, 6438, 1010, 2005, 1996, 5682, 1997, 5270, 6043, 1012, 2065, 1037, 3076, 10220, 2000, 2681, 2043, 7303, 1010, 1996, 4513, 2266, 2003, 2000, 2655, 3721, 3036, 1998, 2031, 1996, 3076, 3718, 1012, 4983, 2009, 2323, 2022, 4072, 2000, 4047, 25763, 1010, 1996, 4513, 2266, 2323, 2025, 2191, 2151, 3947, 2030, 5081, 2000, 6366, 1996, 3076, 8186, 1012, 2065, 1996, 4513, 2266, 14714, 2008, 1996, 18272, 7949, 3458, 1996, 2465, 2558, 2030, 2008, 2009, 2022, 4568, 1010, 1996, 4513, 2266, 2442, 2034, 2025, 8757, 1996, 3242, 1997, 2010, 2030, 2014, 2533, 1010, 1998, 2059, 2191, 2107, 1037, 5227, 2000, 1996, 18523, 3188, 2000, 1996, 2927, 1997, 1996, 2279, 3116, 1997, 2008, 2465, 1012, 2065, 1996, 18523, 9530, 10841, 2869, 1010, 1996, 3076, 2003, 2000, 2022, 19488, 1997, 8853, 2011, 2029, 2016, 2089, 5574, 1012, 2104, 2070, 6214, 1010, 2070, 23217, 3512, 9823, 5248, 2089, 10943, 15322, 2013, 1996, 2267, 1012, 2607, 8819, 2003, 2800, 2000, 4619, 2493, 1999, 2204, 3361, 3061, 2007, 1996, 2267, 1012, 2065, 1037, 3076, 2003, 2025, 13732, 7792, 2000, 4236, 1010, 1996, 3076, 2089, 2025, 4236, 3784, 2030, 2007, 1037, 2949, 8819, 2433, 1999, 1996, 24580, 1521, 1055, 2436, 2127, 2008, 2907, 2003, 3718, 1012, 1037, 6100, 1997, 1996, 8819, 2097, 2022, 2921, 1999, 1996, 24580, 1521, 1055, 2436, 2127, 26828, 1997, 1037, 2689, 1999, 1996, 3076, 1521, 1055, 3570, 2003, 2363, 2013, 3076, 3361, 2578, 1012, 6043, 20246, 2000, 3784, 2607, 8819, 8137, 2408, 3454, 1012, 3531, 23363, 2169, 4619, 3076, 14812, 2005, 3563, 4751, 1012, 1037, 3076, 2089, 5587, 1037, 2607, 2069, 2076, 1996, 2034, 2733, 1997, 1996, 2607, 1010, 2686, 24523, 1012, 1037, 3076, 2089, 4530, 1037, 2465, 2076, 1996, 4530, 1013, 5587, 2558, 1010, 2030, 3188, 2000, 1996, 2707, 1997, 1996, 2465, 2302, 1996, 4530, 6037, 2006, 1996, 3076, 1521, 1055, 24051, 1012, 7510, 2028, 2030, 2062, 4280, 2089, 7461, 1037, 3076, 1521, 1055, 23045, 3834, 5082, 9095, 2005, 24306, 1997, 3361, 4681, 1025, 1996, 3076, 2323, 3967, 1996, 3076, 3361, 2578, 2436, 2005, 2592, 1012, 6043, 20246, 2000, 2607, 10534, 2015, 2044, 1996, 2203, 1997, 2880, 4530, 1013, 5587, 2558, 8137, 2408, 4619, 3454, 1012, 3531, 23363, 2169, 2565, 1521, 1055, 4619, 3076, 14812, 2005, 3563, 4751, 1012, 1037, 5741, 3694, 1997, 12958, 1006, 1045, 1007, 2003, 2069, 2445, 2000, 1037, 3076, 2040, 2003, 2725, 4458, 2147, 1999, 1037, 2607, 2021, 2040, 1010, 2005, 4436, 3458, 1996, 3076, 1521, 1055, 2491, 1010, 2003, 2025, 2583, 2000, 3143, 1996, 2607, 5918, 2011, 1996, 15117, 2005, 12040, 3436, 7022, 1012, 2012, 2560, 4293, 1003, 1997, 1996, 4137, 2147, 2005, 1996, 2465, 2442, 2031, 2042, 2949, 2077, 1037, 3694, 1997, 1523, 1045, 1524, 2064, 2022, 7303, 1012, 2019, 12958, 2442, 2022, 7303, 2011, 1996, 3076, 1010, 2040, 2097, 3073, 5372, 12653, 1997, 1996, 3114, 2005, 1996, 5227, 1012, 1996, 12958, 2442, 2022, 4844, 2119, 2011, 1996, 9450, 1998, 2011, 1996, 2472, 1997, 1996, 4619, 2565, 1999, 3160, 1012, 1996, 1523, 5227, 2005, 12958, 1524, 2433, 2003, 2800, 1999, 1996, 24580, 1521, 1055, 2436, 1012, 1996, 15117, 2005, 17942, 2019, 12958, 3694, 2003, 2030, 18979, 11272, 1996, 2197, 2154, 1997, 4280, 2005, 1996, 13609, 1999, 2029, 1996, 2607, 2003, 2579, 1012, 2174, 1010, 1999, 3572, 5994, 5866, 6214, 1010, 2107, 2004, 15556, 2030, 4544, 1010, 1037, 2266, 1997, 3834, 2578, 3095, 2030, 1996, 9450, 2089, 5227, 2019, 12958, 2006, 1996, 3076, 1521, 1055, 6852, 1012, 1037, 3694, 1997, 1523, 1045, 1524, 2003, 2025, 3133, 2006, 1037, 3076, 1521, 1055, 4568, 2501, 1012, 2030, 18979, 11272, 1010, 2607, 6198, 2442, 2022, 2949, 2306, 1996, 2034, 2416, 3134, 2044, 1996, 2197, 2154, 1997, 2345, 14912, 1012, 1996, 9450, 2089, 5454, 2000, 5769, 2006, 1996, 1523, 5227, 2005, 12958, 1524, 2433, 1996, 3694, 1996, 3076, 2323, 4374, 2065, 2053, 3176, 2147, 2003, 2949, 2011, 1996, 15117, 9675, 1012, 2065, 1996, 9450, 2515, 2025, 2735, 1999, 1037, 3694, 2306, 1996, 2416, 2733, 2558, 1998, 2038, 2025, 5393, 1037, 3694, 2006, 1996, 12958, 2433, 1010, 1037, 3694, 1997, 1523, 1042, 1524, 2097, 2022, 2680, 2005, 1996, 2607, 1012, 1996, 3800, 1997, 2019, 2981, 2817, 2003, 2000, 9585, 1037, 3076, 2000, 8556, 1037, 8476, 2025, 3139, 1999, 5995, 1999, 5570, 5115, 4280, 1012, 2009, 2003, 3227, 5071, 2008, 1996, 3076, 2038, 1996, 4072, 3834, 4281, 1998, 4813, 2000, 7323, 11806, 12683, 2147, 2006, 1996, 8476, 9174, 1012, 2107, 2147, 5942, 6349, 1010, 8426, 2000, 6566, 1010, 6581, 3834, 1998, 2817, 4813, 1010, 1998, 24666, 2007, 1996, 3395, 2104, 2817, 1012, 1996, 2535, 1997, 1996, 9450, 1999, 2107, 1037, 2607, 2003, 3952, 2005, 16053, 1010, 18012, 3672, 1010, 1998, 2825, 5792, 1012, 2077, 21991, 2019, 2981, 2817, 1010, 1996, 3076, 2323, 2031, 10641, 2060, 20859, 2005, 4909, 7899, 2030, 2607, 4923, 1010, 2164, 1037, 2607, 20885, 4217, 1999, 16053, 2007, 1996, 3076, 1521, 1055, 8619, 1998, 1013, 2030, 1996, 2472, 1997, 1996, 4619, 2565, 1999, 3160, 1012, 1996, 3076, 2323, 6848, 1996, 2206, 5919, 1997, 1996, 2607, 3029, 2007, 1996, 4513, 2266, 1024, 1011, 4083, 11100, 1011, 4436, 2005, 11828, 1996, 2981, 2817, 1011, 21923, 2000, 1996, 3076, 1521, 1055, 3834, 2565, 1011, 6134, 1997, 6295, 2007, 1996, 9450, 1011, 14799, 1998, 2060, 2147, 2000, 2022, 7864, 1011, 7667, 1998, 26886, 8853, 1037, 3076, 2442, 7374, 1037, 6378, 9990, 2122, 5919, 1997, 1996, 4083, 3325, 1998, 2151, 2060, 7882, 2592, 1012, 1996, 3076, 2442, 12040, 1996, 6378, 1998, 2019, 2981, 2817, 2433, 2000, 1996, 4619, 2565, 2472, 1012, 1996, 3076, 2036, 2442, 4374, 6226, 2013, 1996, 2533, 3242, 1997, 1996, 4513, 2266, 2040, 2097, 2022, 21238, 1996, 2981, 2817, 1012, 1996, 6378, 1998, 1996, 2981, 2817, 2433, 7682, 2035, 3223, 16442, 2442, 2059, 2022, 7864, 2000, 1996, 4670, 1997, 4639, 1998, 4619, 2495, 2040, 2097, 2830, 1996, 2981, 2817, 2433, 2000, 1996, 18523, 1012, 2588, 6226, 1010, 1996, 2433, 2097, 2022, 2741, 2000, 1996, 24580, 1521, 1055, 2436, 1012, 2981, 2913, 2024, 5338, 2012, 1996, 2783, 2154, 2566, 1011, 4923, 3446, 1010, 4983, 4728, 3264, 1012, 1037, 4513, 2266, 2040, 10217, 2000, 28589, 2019, 2981, 2817, 8267, 9430, 2012, 1996, 2566, 1011, 4923, 3446, 2511, 2005, 2981, 2913, 1012, 6043, 20246, 2000, 1996, 2561, 2193, 1997, 2981, 2817, 6495, 1037, 3076, 2089, 4374, 8137, 2408, 4619, 3454, 1012, 3531, 23363, 2169, 2565, 1521, 1055, 4619, 3076, 14812, 2005, 3563, 4751, 1012, 3413, 1013, 8246, 1998, 15727, 7047, 13523, 7277, 8898, 2493, 2024, 2025, 7936, 2000, 25612, 1999, 4619, 5352, 2006, 1037, 3413, 1013, 8246, 3978, 1012, 4445, 2024, 2027, 7936, 2000, 15727, 4619, 5352, 1012, 15192, 1037, 2607, 6043, 20246, 2000, 1996, 3277, 1997, 3251, 1037, 3076, 2089, 9377, 1037, 4619, 2607, 1010, 1998, 2104, 2054, 3785, 1010, 8137, 2408, 4619, 3454, 1012, 3531, 23363, 2169, 2565, 1521, 1055, 4619, 3076, 14812, 2005, 3563, 4751, 1012, 2065, 1037, 2607, 2003, 5567, 1010, 1996, 3020, 3694, 3687, 2003, 24806, 2046, 1996, 3076, 1521, 1055, 3694, 2391, 2779, 1012, 2174, 1010, 2119, 7022, 3711, 2006, 1996, 4568, 2501, 1012, 15192, 5352, 2089, 7461, 1037, 3076, 1521, 1055, 23045, 3834, 5082, 9095, 2005, 24306, 1997, 3361, 4681, 1025, 1996, 3076, 2323, 23363, 1996, 3076, 3361, 2578, 2436, 2005, 2592, 1012, 3076, 2349, 2832, 1516, 3834, 5609, 1037, 3076, 2040, 2038, 1037, 18185, 2007, 1037, 4513, 2266, 2055, 2019, 3834, 3043, 2323, 2034, 3535, 2000, 10663, 1996, 3043, 2083, 6594, 2007, 1996, 9450, 1012, 2065, 1996, 3277, 2003, 2025, 10395, 2938, 2483, 7011, 16761, 6588, 2090, 1996, 3076, 1998, 1996, 9450, 1010, 1996, 3076, 2089, 11322, 2000, 5049, 1996, 3247, 2083, 1996, 3076, 10821, 1011, 9023, 2832, 1006, 2156, 2917, 1007, 1012, 2065, 1996, 3277, 2003, 1037, 7593, 1997, 1037, 2345, 3694, 2363, 1999, 1037, 2607, 1010, 1996, 5574, 2442, 2022, 7864, 2306, 4228, 2420, 1997, 1996, 3058, 2008, 2744, 7022, 2024, 3843, 2011, 1996, 24580, 1012, 3076, 10821, 1516, 5574, 2832, 1037, 3076, 2040, 8996, 2000, 5574, 1996, 3247, 1997, 2019, 3834, 3043, 1006, 3834, 5609, 2421, 11936, 2058, 7022, 1010, 9989, 1997, 3834, 23337, 1010, 1998, 2565, 15322, 2015, 1007, 2030, 2038, 1037, 3563, 12087, 4953, 1037, 2512, 1011, 3834, 3043, 2323, 4769, 1996, 3277, 1999, 3015, 2000, 1996, 2565, 2472, 1997, 1996, 3834, 2565, 1012, 2065, 1996, 12087, 2030, 5574, 7336, 1996, 2565, 2472, 1010, 1996, 3076, 2323, 4769, 1996, 3277, 1999, 3015, 2000, 1996, 2533, 3242, 1012, 1996, 2434, 12087, 2030, 5574, 2097, 2022, 2921, 2006, 5371, 2007, 1996, 2565, 2472, 1012, 1996, 2565, 2472, 1999, 16053, 2007, 1996, 2533, 3242, 1998, 2151, 4513, 2315, 1999, 1996, 12087, 2030, 5574, 2030, 1996, 2533, 3242, 1006, 2065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 16216, 1041, 16932, 20842, 2102, 2860, 3617, 4950, 3319, 1996, 16216, 1041, 16932, 20842, 2102, 2860, 2003, 1037, 2403, 1011, 13164, 8197, 2595, 2884, 4950, 2007, 2019, 1022, 2595, 9380, 2898, 24095, 10014, 1012, 16216, 2038, 2580, 1037, 2491, 1011, 2489, 2067, 2006, 1996, 1041, 16932, 20842, 2102, 2860, 2011, 6885, 2087, 1997, 1996, 7711, 2006, 1037, 1017, 1012, 1014, 1011, 4960, 3543, 18182, 27662, 1012, 1996, 4950, 2038, 1037, 7823, 14794, 2303, 1010, 9233, 2640, 1998, 10751, 4328, 20831, 1012, 2049, 8966, 2007, 2838, 2004, 2092, 1012, 2028, 2008, 4832, 2041, 1998, 2057, 2298, 2830, 2000, 5604, 2003, 1996, 6090, 1011, 5425, 23652, 1010, 1037, 2047, 2126, 2000, 2191, 6090, 6525, 7712, 7760, 1012, 2009, 2036, 2038, 2227, 10788, 1010, 12373, 10788, 1010, 2868, 10788, 1998, 8285, 3496, 10788, 1012, 1996, 1041, 16932, 20842, 2102, 2860, 2003, 2800, 1999, 2093, 6087, 1024, 2304, 1010, 2417, 1998, 3165, 1998, 2038, 2019, 5796, 14536, 1997, 1002, 20713, 1012, 5585, 1012, 16216, 1041, 16932, 20842, 2102, 2860, 2838, 1024, 1011, 2403, 1011, 13164, 8197, 2595, 2884, 10507, 2094, 3746, 2099, 1011, 10014, 3774, 1997, 1022, 3787, 1999, 2260, 2967, 2007, 1037, 3486, 7382, 2143, 5662, 1997, 2654, 1516, 19711, 7382, 1011, 1022, 2595, 9380, 24095, 1011, 9380, 3746, 28715, 1011, 1017, 1012, 1014, 1011, 4960, 27662, 3609, 3543, 3898, 1011, 3185, 5549, 1025, 10751, 1030, 11899, 2692, 26306, 2581, 11387, 1010, 19714, 26306, 18139, 2692, 2030, 13710, 26306, 18827, 2692, 2007, 5746, 1011, 2260, 3496, 11583, 1011, 8148, 7171, 2006, 1037, 3929, 5338, 6046, 1011, 11163, 10898, 1024, 8285, 1010, 3770, 1010, 2531, 1010, 3263, 1010, 4278, 1010, 5385, 1010, 14883, 1010, 13710, 2692, 1011, 3594, 2128, 25661, 17371, 1013, 17371, 16257, 3638, 5329, 1011, 6113, 2011, 22157, 10163, 6046, 2054, 2015, 1999, 1996, 3482, 1024, 1011, 1041, 16932, 20842, 2102, 2860, 4950, 1011, 28667, 8167, 3351, 3085, 22157, 1011, 10163, 6046, 1011, 6046, 3715, 2099, 1011, 18833, 5830, 1011, 7223, 16195, 1011, 3729, 17083, 6410, 1011, 4248, 2707, 5009, 1011, 29137, 15794, 6302, 8605, 1020, 1996, 1041, 16932, 20842, 2102, 2860, 2003, 6055, 2007, 2019, 1022, 2595, 9380, 2898, 24095, 10014, 1012, 2007, 1037, 15918, 3091, 1997, 1019, 1012, 1015, 7382, 1006, 2898, 1007, 2000, 2871, 1012, 1022, 7382, 1006, 10093, 2063, 1007, 2009, 2038, 1037, 3486, 7382, 5662, 1997, 2654, 7382, 2000, 19711, 7382, 1012, 2043, 1996, 4950, 2003, 6113, 2091, 1010, 1996, 10014, 2097, 2128, 6494, 6593, 2046, 1996, 2303, 1997, 1996, 4950, 1998, 1037, 6099, 14572, 2058, 1996, 10014, 2000, 4047, 1996, 3221, 1012, 3671, 5549, 1024, 2603, 1012, 1020, 1999, 1012, 2898, 1516, 4464, 1012, 1018, 1999, 1012, 10093, 13699, 12326, 2080, 26632, 5549, 1024, 1016, 1012, 1014, 1999, 1012, 2898, 1516, 4464, 1012, 1018, 1999, 1012, 10093, 13699, 12326, 2080, 1996, 5956, 2003, 2284, 2006, 1996, 2187, 2217, 1997, 1996, 10014, 2012, 1996, 2327, 1997, 1996, 4950, 1012, 2045, 2024, 1020, 5956, 7047, 2164, 1024, 8285, 1010, 2417, 1011, 3239, 7312, 1010, 3140, 5956, 1010, 2417, 1011, 3239, 1009, 4030, 26351, 8093, 2080, 1010, 4030, 26351, 8093, 2080, 1998, 2125, 1012, 1996, 4621, 2846, 2005, 2898, 6466, 2003, 2459, 3027, 1012, 1998, 2005, 10093, 13699, 12326, 2080, 2049, 2184, 3027, 1012, 1996, 7711, 2284, 2006, 1996, 2327, 1997, 1996, 4950, 2421, 1996, 2373, 6462, 1010, 1996, 18245, 6462, 1010, 1996, 24095, 2491, 2004, 2092, 2004, 1996, 28180, 2713, 1012, 2045, 2024, 2053, 11287, 2030, 15924, 2006, 1996, 2067, 1997, 1996, 1041, 16932, 20842, 2102, 2860, 1010, 2035, 4972, 2024, 4758, 2083, 1996, 2224, 1997, 1996, 8629, 3543, 3898, 1012, 15885, 2182, 2017, 2019, 2156, 1996, 8629, 5549, 6462, 1999, 1996, 3356, 2187, 1010, 1996, 10906, 6462, 1999, 1996, 2896, 2187, 2004, 2092, 2004, 2195, 2060, 3543, 3085, 18407, 16222, 25725, 1996, 3953, 1012, 2045, 2024, 2048, 6327, 8831, 2006, 1996, 2217, 1997, 1996, 4950, 1012, 2012, 1996, 2327, 2003, 1996, 10751, 4328, 3417, 2029, 2064, 2003, 2109, 2000, 7532, 1996, 4950, 2000, 2152, 1011, 6210, 5733, 1012, 2917, 2008, 2003, 1996, 18833, 1013, 20704, 3417, 1012, 2023, 2003, 2109, 2000, 7532, 2000, 1037, 25028, 1997, 5733, 2107, 2004, 2547, 2015, 1010, 23557, 1998, 7588, 1012, 1996, 1041, 16932, 20842, 2102, 2860, 2003, 11892, 2007, 2035, 17371, 1998, 17371, 16257, 3638, 5329, 2039, 2000, 2385, 18259, 1999, 2946, 1010, 2096, 3794, 2324, 14905, 1997, 4722, 3638, 1012, 2009, 2003, 3491, 2182, 2007, 1037, 1022, 18259, 17244, 2906, 2658, 17371, 16257, 3638, 4003, 1012, 2373, 2005, 1996, 4950, 3310, 2013, 1037, 28667, 8167, 3351, 3085, 22157, 10163, 6046, 1012, 1996, 2443, 3715, 2099, 13354, 2015, 3495, 2046, 2019, 13307, 2007, 2053, 2342, 1997, 2151, 24551, 1012, 16216, 4447, 3155, 8148, 7171, 2064, 2022, 2579, 2006, 1037, 3929, 5338, 6046, 1012, 3602, 1024, 1996, 16216, 1041, 16932, 20842, 2102, 2860, 2069, 27852, 1037, 14816, 14406, 2043, 1996, 1037, 1013, 1058, 5830, 2003, 13354, 5999, 1999, 1010, 2061, 2057, 2018, 2000, 9982, 1996, 27662, 2005, 2122, 12117, 19566, 1012, 8285, 2501, 5549, 7711, 2087, 1997, 1996, 4950, 1521, 1055, 4972, 2005, 2017, 1012, 1999, 1996, 3746, 2682, 2017, 2064, 2156, 1996, 18407, 2005, 5008, 5549, 1006, 3356, 2187, 1007, 1010, 10906, 1998, 12183, 2015, 1006, 2896, 2187, 1007, 1998, 5278, 1996, 3815, 1997, 2592, 6913, 2004, 2092, 2004, 2552, 17441, 1037, 5008, 8370, 1006, 2896, 2157, 1007, 1012, 2036, 1010, 2151, 1997, 1996, 18407, 2007, 1037, 3756, 8612, 2024, 4972, 2008, 2064, 2022, 2904, 1012, 2023, 2003, 2589, 2011, 1523, 7244, 1524, 2068, 1012, 1996, 2665, 2675, 1999, 1996, 2690, 3065, 1996, 4950, 2007, 1996, 8285, 1011, 3579, 5299, 1998, 3201, 1012, 2065, 1996, 4950, 2515, 2025, 3579, 11178, 2027, 2097, 2265, 2039, 1999, 2417, 1012, 1996, 4950, 2515, 2025, 2031, 1037, 3853, 6462, 1010, 4248, 3229, 18407, 2024, 6913, 2105, 1996, 13443, 1997, 1996, 3898, 1012, 2000, 20544, 2068, 2074, 3543, 1996, 12696, 1998, 1996, 12183, 2005, 2008, 3327, 3853, 2097, 2022, 6913, 1012, 1996, 2367, 3496, 5008, 11583, 2064, 2022, 2179, 2011, 7827, 1996, 5549, 6462, 1010, 2059, 1996, 3496, 6462, 1012, 2045, 2024, 2184, 2367, 3496, 11583, 1024, 4368, 1010, 7169, 1010, 4586, 1010, 16080, 1010, 2688, 1010, 2305, 5957, 1010, 2336, 1010, 7053, 1010, 10434, 1010, 3221, 1010, 5957, 1998, 2305, 6533, 1012, 28667, 5008, 12183, 7047, 1006, 6410, 1007, 1024, 7142, 2915, 1516, 2125, 1010, 14668, 1010, 1017, 7171, 1010, 1017, 7171, 2197, 1010, 2051, 1011, 10876, 2063, 3737, 1516, 2190, 1010, 2986, 1010, 3671, 21358, 5549, 1516, 2309, 1010, 4800, 1010, 3543, 1011, 2000, 1011, 3579, 16258, 8316, 2075, 1516, 3962, 1010, 2415, 1010, 9932, 6679, 3617, 24095, 1516, 2006, 2030, 2125, 4248, 3319, 1516, 2125, 1010, 1015, 10819, 1010, 1016, 10819, 1010, 1017, 10819, 3058, 15738, 1516, 2125, 1010, 3058, 1010, 3058, 1013, 2051, 21358, 6509, 7504, 1516, 2006, 2030, 2125, 12373, 10788, 1516, 2006, 2030, 2125, 4030, 28180, 1516, 2125, 1010, 1016, 1011, 2382, 3823, 1051, 2483, 1011, 5549, 2487, 1010, 5549, 1016, 1010, 2125, 1999, 18245, 5549, 1010, 1996, 2197, 3746, 2579, 2003, 1996, 2034, 2028, 2008, 2003, 6913, 2043, 2017, 2811, 1996, 18245, 6462, 1012, 2074, 2066, 1999, 28667, 5549, 1010, 1996, 3953, 2157, 3420, 3431, 1996, 3815, 1997, 2592, 2008, 2003, 3491, 2006, 1996, 3898, 1012, 2045, 2024, 2093, 2367, 8310, 1997, 2592, 2008, 2064, 2022, 3491, 2004, 2092, 2004, 1037, 3898, 2008, 3065, 2074, 1996, 3746, 2007, 2053, 2592, 1012, 5950, 5549, 4473, 2017, 2000, 2855, 3945, 2083, 1996, 4871, 2008, 2017, 2031, 4110, 1012, 7827, 1996, 2898, 24095, 2491, 7545, 2039, 1037, 3898, 1997, 1018, 7639, 25464, 2015, 1998, 7827, 2009, 2153, 3431, 2009, 2000, 1023, 1012, 7827, 1996, 24095, 2491, 2875, 1996, 10093, 13699, 12326, 2080, 2203, 4473, 2017, 2000, 24095, 1999, 2006, 2115, 4871, 2039, 2000, 1022, 2595, 1012, 2320, 2017, 2031, 24095, 2098, 1999, 1010, 2811, 1998, 2907, 2006, 1996, 3898, 2005, 1015, 2117, 1998, 2017, 2097, 2022, 2583, 2000, 8011, 1996, 3746, 2105, 2006, 1996, 3898, 1012, 18245, 12183, 7047, 1024, 4047, 1516, 18227, 2019, 3746, 2013, 2108, 17159, 2013, 1996, 3638, 4003, 3972, 12870, 1516, 20362, 2019, 3746, 2013, 1996, 3638, 4003, 1040, 6873, 2546, 1516, 4520, 1996, 11709, 2005, 8021, 3495, 2013, 1996, 4950, 14816, 14406, 1516, 3216, 1037, 14816, 14406, 1997, 1996, 4871, 5552, 2006, 1996, 3638, 4003, 3185, 18245, 3957, 2017, 18315, 2099, 2030, 1040, 19716, 1011, 2066, 7711, 2008, 3499, 2017, 2000, 2377, 1010, 8724, 1010, 2709, 2000, 2927, 1010, 1998, 2693, 4853, 2011, 4853, 1999, 2593, 3257, 1012, 2096, 1996, 2678, 2003, 2652, 1010, 2017, 2064, 14171, 1996, 3872, 3081, 1996, 12696, 1999, 1996, 3953, 2157, 3420, 1012, 4950, 10906, 7047, 1024, 4289, 3638, 1516, 11630, 1996, 3638, 4003, 2503, 1996, 4950, 10506, 2361, 1516, 14171, 1996, 3798, 1997, 1996, 10506, 4523, 2005, 3872, 1010, 28180, 1010, 2969, 1011, 25309, 1010, 3145, 1010, 2373, 27662, 18295, 1516, 8285, 19037, 2030, 6410, 19037, 2373, 3828, 2099, 1516, 7711, 2043, 1996, 27662, 3898, 1998, 4950, 2097, 8073, 2735, 2125, 3058, 1013, 2051, 1516, 4520, 1996, 3058, 1998, 2051, 2006, 1996, 4950, 4224, 1516, 4473, 2017, 2000, 5454, 1996, 2181, 1997, 1996, 2088, 2017, 2024, 2747, 1999, 1010, 2061, 1996, 4950, 2064, 8073, 14171, 1996, 2051, 5371, 15200, 1516, 25141, 2030, 7142, 2653, 1516, 5454, 1996, 4950, 1521, 1055, 12183, 2653, 2678, 2291, 1516, 23961, 11020, 2030, 14412, 6100, 2000, 4003, 1516, 6100, 4871, 2000, 1996, 3638, 4003, 2013, 4722, 3638, 25141, 10906, 1516, 25141, 2015, 1996, 4950, 2000, 1996, 4713, 12398, 2015, 1042, 2860, 2544, 1516, 8834, 1996, 4950, 1521, 1055, 2783, 3813, 8059, 2544, 18833, 5549, 1516, 7473, 1010, 7473, 1006, 13866, 2361, 1007, 1010, 15041, 10751, 4328, 5549, 1516, 8285, 1010, 6410, 16216, 1521, 1055, 2327, 1997, 1996, 2240, 1523, 2373, 1524, 2186, 2944, 1006, 2004, 1997, 1020, 1013, 2230, 1007, 1010, 1996, 1041, 16932, 20842, 2102, 2860, 2003, 1037, 2358, 8516, 4509, 2391, 1011, 1050, 1011, 5607, 2008, 2003, 8966, 2007, 4658, 2838, 1010, 2066, 1037, 1017, 1012, 1014, 1011, 4960, 3543, 18182, 27662, 1010, 2403, 1011, 13164, 8197, 2595, 9050, 1010, 2019, 1022, 2595, 9380, 24095, 10014, 2007, 2898, 2654, 7382, 6325, 1010, 9380, 3746, 28715, 1010, 2227, 1013, 12373, 1013, 2868, 10788, 1010, 2152, 11163, 10906, 1010, 10751, 4328, 6434, 1010, 5622, 1011, 10163, 6046, 1010, 4385, 1012, 2035, 1997, 2122, 2024, 11812, 2046, 1037, 20146, 4853, 1010, 2029, 2064, 2022, 9332, 2046, 1037, 2235, 4979, 1012, 2066, 2627, 4275, 1010, 1996, 1041, 16932, 20842, 2102, 2860, 5683, 2092, 2328, 1010, 2007, 1037, 2204, 3635, 2000, 2009, 1012, 2348, 2235, 1010, 1996, 4950, 2145, 16142, 2092, 1999, 2256, 2398, 1010, 1998, 2349, 2000, 1996, 3543, 18182, 2045, 2024, 2200, 2261, 7711, 5614, 2006, 1996, 2303, 1012, 2035, 2017, 2097, 2424, 2024, 1996, 2373, 1998, 18245, 11287, 2004, 2092, 2004, 1996, 28180, 2713, 2007, 1996, 24095, 7711, 5614, 2105, 2009, 1012, 2673, 2842, 2003, 8971, 2011, 7244, 1996, 2312, 1017, 1012, 1014, 1011, 4960, 3898, 1012, 1996, 27662, 3849, 2000, 2031, 2019, 3424, 1011, 21346, 18898, 1010, 2004, 2045, 2024, 2069, 1037, 2261, 12113, 1999, 2029, 2003, 11138, 2844, 2422, 1012, 1045, 2106, 2424, 2008, 2009, 17427, 4344, 11204, 3243, 4089, 1010, 2061, 2022, 2469, 2000, 13387, 2009, 2125, 2411, 1012, 1996, 3543, 18182, 2291, 2993, 2499, 7929, 1012, 2009, 2347, 1521, 1056, 1996, 2087, 26651, 2291, 1045, 1521, 2310, 2109, 1010, 2021, 2025, 1996, 5409, 2593, 1012, 2057, 2926, 2179, 2009, 3697, 2000, 2224, 2076, 18245, 5549, 1010, 2073, 1996, 4950, 1521, 1055, 3433, 2000, 2256, 3543, 2001, 1037, 2978, 4030, 1012, 2065, 2017, 5028, 1996, 3898, 2000, 2855, 1010, 2009, 2052, 2025, 6869, 1012, 1045, 2001, 2036, 9364, 2007, 1996, 18245, 24095, 3853, 1012, 2096, 2017, 2064, 24095, 1999, 3243, 4089, 2011, 2478, 1037, 19754, 11740, 2007, 2115, 4344, 2030, 2478, 1996, 10093, 13699, 12326, 2080, 24095, 2491, 1010, 2320, 23848, 25201, 2017, 2064, 2025, 17186, 2105, 1996, 4853, 1012, 2023, 3853, 2038, 2042, 3115, 2006, 10667, 5555, 5244, 2005, 2086, 1010, 1998, 3492, 2172, 2081, 1996, 24095, 3853, 22692, 2006, 2023, 4950, 2004, 2009, 2069, 4372, 8017, 8449, 1996, 2415, 1997, 1996, 4853, 1012, 3746, 3737, 2013, 1996, 1041, 16932, 20842, 2102, 2860, 2001, 2779, 2005, 1037, 9233, 4950, 1012, 2009, 7137, 3835, 2559, 2403, 1011, 13164, 8197, 2595, 2884, 7760, 19350, 2008, 4653, 2204, 7524, 1998, 24820, 3609, 5703, 1012, 4871, 2024, 2036, 4659, 4629, 1010, 2174, 2043, 10523, 2012, 2531, 1003, 2017, 2064, 2156, 1037, 2312, 3815, 1997, 25567, 5005, 2556, 2802, 1996, 6302, 1006, 2172, 2062, 4089, 2464, 1999, 2006, 2601, 5200, 2030, 1999, 5192, 2752 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2281, 3277, 1997, 1996, 10210, 2974, 3319, 2956, 1037, 26422, 3720, 1010, 2339, 2057, 2064, 1521, 1056, 9611, 2502, 3471, 1010, 2517, 2011, 2049, 3559, 1999, 2708, 4463, 21179, 2378, 1012, 1996, 3720, 7679, 2006, 1037, 3110, 1010, 1011, 27550, 1999, 13773, 3028, 1010, 1011, 2008, 2144, 1996, 9348, 2565, 2008, 2404, 1037, 2158, 1999, 1996, 4231, 2006, 2251, 2538, 1010, 3440, 1010, 2242, 2089, 2031, 3047, 2000, 8438, 1521, 1055, 3977, 2000, 9611, 2502, 3471, 1012, 1996, 3720, 15537, 2033, 2129, 2172, 2256, 2554, 2038, 2904, 1999, 1996, 2197, 3174, 2086, 1010, 1999, 3327, 1010, 1996, 2367, 2126, 2057, 13332, 2502, 3471, 2012, 1996, 28672, 1997, 2256, 3983, 2301, 3919, 4610, 6431, 1996, 2126, 2057, 2085, 2079, 2061, 1999, 1996, 2220, 5711, 1997, 1996, 7398, 2301, 2592, 4610, 1012, 1996, 9348, 2565, 2001, 3390, 2012, 1996, 4578, 1997, 1996, 3147, 2162, 1012, 1999, 2258, 1997, 3777, 1010, 3354, 2522, 25855, 24619, 14331, 23332, 6657, 2150, 1996, 2034, 2711, 2000, 4875, 1999, 2686, 1010, 27788, 29278, 6129, 1996, 10069, 2008, 1996, 2149, 2001, 4634, 2369, 1996, 4087, 1998, 2510, 2971, 2007, 1996, 3354, 2586, 1012, 1037, 3204, 2101, 1010, 1999, 1037, 4613, 2077, 1037, 3693, 5219, 1997, 3519, 1010, 2343, 2198, 1042, 1012, 5817, 3843, 1037, 4119, 2000, 1996, 3842, 1024, 1523, 1045, 2903, 2008, 2023, 3842, 2323, 10797, 2993, 2000, 10910, 1996, 3125, 1010, 2077, 2023, 5476, 2003, 2041, 1010, 1997, 4899, 1037, 2158, 2006, 1996, 4231, 1998, 4192, 2032, 9689, 2000, 1996, 3011, 1012, 2053, 2309, 2686, 2622, 1999, 2023, 2558, 2097, 2022, 2062, 8052, 2000, 14938, 1010, 2030, 2062, 2590, 1999, 1996, 2146, 1011, 2846, 8993, 1997, 2686, 1025, 1998, 3904, 2097, 2022, 2061, 3697, 2030, 6450, 2000, 14570, 1012, 1524, 1523, 2023, 3223, 1996, 4602, 3521, 7292, 25580, 1999, 1996, 3842, 1521, 1055, 2381, 1010, 1524, 7009, 21179, 2378, 1012, 1523, 2348, 9274, 2001, 1998, 3464, 1037, 6831, 4034, 1010, 1996, 9348, 2565, 2001, 2825, 2069, 2138, 2009, 2001, 1037, 22689, 2135, 6787, 1010, 4100, 1011, 23689, 6590, 18425, 2622, 1012, 1012, 1012, 1999, 2035, 1010, 9274, 2985, 1002, 2484, 4551, 1010, 2030, 2055, 1002, 8380, 4551, 1999, 2651, 1005, 1055, 6363, 1010, 2006, 9348, 1025, 2012, 2049, 4672, 1999, 1996, 3054, 1011, 4120, 1010, 1996, 4034, 5632, 2062, 2084, 1018, 3867, 1997, 1996, 2976, 5166, 1012, 1996, 2565, 4846, 2105, 4278, 1010, 2199, 2111, 1998, 6303, 1996, 5792, 1997, 2055, 2322, 1010, 2199, 3316, 1010, 5534, 1010, 1998, 2231, 6736, 1012, 1524, 2343, 5817, 2582, 4541, 2010, 4119, 2000, 1996, 3842, 1999, 1037, 3705, 4613, 2012, 5785, 2118, 1024, 1523, 2021, 2339, 1010, 2070, 2360, 1010, 1996, 4231, 1029, 2339, 5454, 2023, 2004, 2256, 3125, 1029, 1012, 1012, 1012, 2339, 7105, 1996, 3284, 3137, 1029, 2339, 1010, 3486, 2086, 3283, 1010, 4875, 1996, 4448, 1029, 1012, 1012, 1012, 2057, 5454, 2000, 2175, 2000, 1996, 4231, 1999, 2023, 5476, 1998, 2079, 1996, 2060, 2477, 1010, 2025, 2138, 2027, 2024, 3733, 1010, 2021, 2138, 2027, 2024, 2524, 1025, 2138, 2008, 3125, 2097, 3710, 2000, 10939, 1998, 5468, 1996, 2190, 1997, 2256, 19320, 1998, 4813, 1012, 1012, 1012, 1524, 2053, 2529, 2038, 2042, 2067, 2000, 1996, 4231, 2144, 9348, 2459, 1999, 3285, 1012, 1998, 1010, 2045, 2024, 2053, 3488, 2000, 2709, 2000, 1996, 4231, 2151, 2051, 2574, 1010, 2292, 2894, 2000, 4604, 2111, 2000, 7733, 1012, 2429, 2000, 21179, 2378, 1010, 2256, 3279, 1997, 18923, 2005, 2686, 3604, 2089, 2022, 2019, 17245, 1997, 2242, 6748, 1024, 1523, 1038, 15909, 5369, 27451, 2055, 2974, 1521, 1055, 4204, 2038, 9345, 17822, 4383, 1010, 2205, 1010, 2004, 2502, 3471, 2008, 2111, 2018, 8078, 2974, 2052, 9611, 1010, 2107, 2004, 9012, 1010, 5635, 1010, 19132, 1010, 4785, 2689, 1010, 4456, 1010, 1998, 1996, 7870, 1997, 2214, 2287, 1010, 2031, 2272, 2000, 4025, 26721, 25572, 6321, 2524, 1524, 1523, 2054, 3047, 1029, 1010, 1524, 2002, 5176, 1012, 1523, 2008, 2242, 3047, 2000, 8438, 1521, 1055, 3977, 2000, 9611, 2502, 3471, 2003, 1037, 27550, 1012, 3728, 1010, 2174, 1010, 1996, 12087, 2038, 2764, 1037, 2047, 18045, 9407, 2426, 13773, 3028, 1005, 1055, 9387, 1998, 17633, 1010, 2348, 2009, 2003, 2788, 5228, 1037, 2210, 11543, 1024, 2111, 2360, 2045, 2003, 1037, 29025, 12972, 1997, 2613, 15463, 1012, 2612, 1010, 2027, 4737, 1010, 21416, 18738, 2031, 18356, 2149, 1998, 25202, 3209, 2007, 20610, 10899, 1012, 1524, 1523, 2057, 2359, 3909, 3765, 1011, 2612, 2057, 2288, 8574, 3494, 1010, 1524, 2003, 2129, 3477, 12952, 2522, 14876, 20824, 2848, 16215, 9257, 2038, 10514, 14693, 12273, 14626, 2649, 2010, 6772, 2008, 2057, 2024, 2053, 2936, 13729, 2502, 3471, 1012, 1996, 4274, 2003, 1523, 1037, 5658, 4606, 1011, 2021, 2025, 1037, 2502, 2028, 1010, 1524, 16215, 9257, 2409, 1996, 2047, 19095, 2197, 2095, 1012, 1996, 9348, 2565, 5836, 1996, 2785, 1997, 3811, 3375, 1998, 6450, 3330, 3934, 2008, 1996, 2149, 12543, 2076, 25755, 1998, 1996, 3147, 2162, 1012, 2009, 2003, 2524, 2000, 5674, 2725, 2061, 2153, 9962, 2714, 25953, 4818, 8767, 2000, 1996, 3842, 1012, 2057, 2031, 2025, 2464, 2107, 2312, 2231, 3454, 2144, 1996, 6143, 3639, 6349, 1010, 9875, 1996, 2732, 5233, 2565, 2646, 1996, 2203, 1997, 1996, 3147, 2162, 1999, 1996, 3865, 1010, 2348, 2028, 2071, 7475, 2008, 1996, 14584, 1997, 2047, 5979, 1521, 23310, 4402, 2291, 2206, 7064, 16864, 2003, 2107, 1037, 2312, 2231, 2565, 1012, 2021, 2242, 2842, 1010, 2012, 2560, 2004, 3375, 1998, 10368, 1999, 2026, 5448, 1010, 2038, 2042, 2635, 2173, 2144, 2059, 1012, 2045, 2003, 2210, 3160, 2008, 2256, 4610, 1010, 1998, 2074, 2055, 2035, 4896, 1997, 2554, 2024, 2183, 2083, 2350, 8332, 3431, 1010, 3262, 5533, 2011, 1996, 3617, 2974, 4329, 2008, 1521, 1055, 2035, 2105, 2149, 1012, 1998, 1999, 3327, 1010, 2144, 1996, 11355, 3930, 1997, 1996, 4274, 1998, 2088, 2898, 4773, 1999, 1996, 3054, 3938, 1521, 1055, 1010, 2057, 2031, 2042, 6653, 2075, 2013, 1996, 3919, 2554, 1997, 1996, 2627, 3232, 1997, 4693, 2000, 1037, 2047, 2785, 1997, 2592, 2554, 1998, 3716, 1011, 2241, 4610, 1012, 2053, 3043, 2129, 2017, 2298, 2012, 2009, 1010, 2107, 1037, 6653, 2003, 1037, 2200, 2502, 3066, 1012, 2045, 2031, 2069, 2042, 1037, 2261, 2107, 2350, 3171, 12363, 1999, 2529, 10585, 1012, 2220, 4286, 2020, 4477, 1011, 8587, 2545, 1998, 2973, 1999, 21702, 2967, 1012, 2059, 5931, 2100, 2184, 1010, 2199, 2086, 3283, 1010, 1996, 2458, 1997, 5237, 2318, 1010, 2164, 2116, 7957, 1997, 8765, 1998, 4968, 4383, 4176, 2030, 11468, 1012, 5237, 2001, 1996, 3145, 2000, 1996, 4125, 1997, 7367, 16454, 5649, 2529, 4279, 1010, 1998, 2419, 2000, 23226, 8384, 1012, 2062, 1998, 2062, 2111, 3876, 1999, 4279, 2029, 2058, 2051, 3473, 2046, 4731, 1010, 4865, 1010, 3655, 1998, 3741, 1012, 1996, 6653, 2000, 2019, 3919, 2554, 2318, 1999, 1996, 4985, 2301, 1010, 4321, 5533, 2011, 9849, 1999, 2671, 1998, 2974, 1012, 2122, 9849, 1999, 2735, 2419, 2000, 3742, 2537, 1998, 1996, 2407, 1997, 4450, 1025, 2312, 1010, 6233, 3923, 7080, 1025, 1998, 6022, 3020, 2740, 1010, 2166, 14798, 1010, 1998, 4781, 1997, 2542, 1999, 2087, 3032, 1999, 1996, 2088, 1012, 2059, 1010, 2206, 1996, 3147, 2162, 1998, 1996, 13896, 1997, 1996, 4274, 2057, 2318, 2256, 6653, 2000, 2019, 2592, 2554, 1012, 2024, 2057, 13729, 2502, 3471, 1998, 2746, 2039, 2007, 2350, 15463, 2004, 2112, 1997, 2107, 1037, 6653, 1029, 1045, 2903, 2057, 2024, 1010, 2348, 1996, 3267, 1997, 1996, 3471, 1998, 15463, 2024, 2200, 2367, 2013, 2216, 3421, 2011, 1996, 9348, 2565, 1998, 2714, 2327, 2091, 1010, 3983, 2301, 2231, 3454, 1012, 2096, 2009, 2089, 2514, 2066, 1045, 1521, 1049, 13599, 18108, 1998, 4589, 2015, 1010, 1996, 7831, 7126, 2000, 19141, 1996, 2367, 3971, 2057, 10366, 1998, 13332, 2502, 3375, 3471, 1999, 1996, 3919, 4610, 2000, 1996, 2126, 2057, 2024, 2085, 2725, 2061, 1999, 2256, 8361, 2592, 4610, 1012, 1996, 2087, 5793, 4489, 2003, 2008, 1996, 9348, 2565, 1998, 2714, 2107, 2502, 3454, 1010, 1011, 1041, 1012, 1043, 1012, 1010, 7217, 1010, 9593, 2943, 1010, 14549, 1010, 7588, 1010, 1996, 4274, 1010, 1011, 2020, 3495, 3378, 2007, 25755, 1998, 1996, 3147, 2162, 1010, 1998, 2020, 3262, 6787, 2011, 1996, 2533, 1997, 3639, 1010, 1996, 2533, 1997, 2943, 1010, 9274, 1010, 1998, 2060, 2976, 6736, 1012, 2122, 2020, 25835, 2135, 4114, 1010, 5294, 3330, 3934, 1010, 2029, 2064, 2022, 7021, 2004, 1996, 12731, 13728, 12758, 1997, 1996, 7957, 1997, 2502, 3291, 3934, 1997, 1996, 3919, 4610, 1012, 1996, 13296, 10949, 10318, 1996, 6653, 2000, 2019, 2592, 4610, 2024, 2200, 2367, 2013, 2216, 1997, 1996, 9348, 2565, 1012, 1996, 3934, 2024, 2172, 12368, 1999, 9531, 1010, 5994, 2312, 9214, 1997, 1996, 2149, 4610, 2004, 2092, 2004, 2216, 2105, 1996, 2088, 1010, 2062, 2066, 1037, 2186, 1997, 11853, 3141, 11107, 2311, 2006, 2169, 2060, 2058, 5109, 1012, 1998, 1010, 2027, 2024, 2521, 2062, 12317, 1010, 5994, 2312, 1998, 2235, 3316, 2004, 2092, 2004, 2116, 22752, 2015, 1025, 5534, 1998, 2470, 13625, 2035, 2058, 1996, 2088, 1025, 1998, 2334, 1998, 2110, 6867, 1010, 1999, 2804, 2000, 2120, 6867, 1012, 1996, 4274, 2003, 1996, 2058, 21930, 16771, 2005, 2023, 3439, 6653, 2000, 2019, 2592, 4610, 1012, 1998, 1010, 2045, 2003, 2210, 3160, 2008, 2302, 1996, 2116, 5857, 1997, 18243, 4502, 1998, 2060, 2976, 2231, 6736, 1010, 1996, 4274, 2052, 3497, 2025, 2031, 3047, 1012, 2021, 2320, 2049, 3293, 3989, 2318, 1999, 1996, 3054, 4134, 1010, 3006, 2749, 6476, 1999, 2007, 1037, 14096, 1010, 4346, 2087, 1997, 1996, 10518, 1998, 8144, 2373, 2075, 2023, 6653, 1012, 9308, 1010, 1996, 2200, 3267, 1997, 8144, 2038, 2904, 1012, 2005, 2087, 1997, 1996, 3983, 2301, 1010, 2047, 6786, 2020, 2034, 7333, 1999, 2312, 4896, 1011, 9926, 1010, 5534, 1998, 2470, 13625, 1010, 1996, 2510, 1998, 6831, 2231, 6736, 1010, 1011, 2013, 2029, 2027, 2776, 26027, 2094, 2091, 2000, 1996, 2717, 1997, 1996, 4610, 2004, 2037, 7597, 1998, 11619, 3333, 1012, 5659, 2086, 3283, 1010, 2005, 2742, 1010, 1996, 3274, 3068, 5031, 3952, 1997, 6450, 2364, 15643, 2015, 1998, 3565, 9006, 18780, 2545, 2008, 2069, 3469, 4896, 2071, 8984, 2000, 4965, 1998, 5452, 1012, 7163, 9006, 18780, 2545, 1998, 3167, 7588, 2059, 2628, 2058, 1996, 2279, 3232, 1997, 5109, 2437, 7588, 6233, 15184, 1012, 2021, 1010, 2023, 26027, 1011, 2091, 3921, 2000, 2974, 19241, 12099, 11674, 2993, 2007, 1996, 13896, 1997, 23766, 6786, 1010, 2926, 3617, 6786, 1012, 2004, 1037, 2765, 1997, 1996, 9788, 9849, 1999, 3617, 6177, 1998, 3167, 9798, 2058, 1996, 2627, 4228, 2086, 1010, 2116, 2047, 15463, 2024, 2034, 8361, 1999, 7325, 6089, 1998, 2426, 4279, 1997, 6388, 5198, 1010, 2013, 2029, 2027, 2776, 26027, 1011, 2039, 2046, 1996, 8484, 1997, 2449, 1998, 2231, 1012, 4661, 3167, 9798, 1010, 2057, 2031, 2464, 2107, 7325, 1998, 5310, 1011, 5533, 15463, 1999, 26381, 2015, 1998, 2060, 4684, 5733, 1010, 2208, 2867, 1010, 11603, 1010, 2591, 2865, 1010, 6112, 9798, 1998, 2061, 2006, 1012, 1045, 2903, 2008, 1996, 2785, 1997, 4866, 5792, 2090, 1996, 2797, 4753, 1010, 16926, 1998, 2231, 3421, 2011, 1996, 4274, 4329, 2097, 2022, 1996, 2126, 2057, 2097, 3227, 11147, 2502, 3471, 1999, 1996, 7398, 2301, 1012, 2074, 2004, 2007, 1996, 4274, 1010, 6867, 2031, 1037, 2350, 2535, 2000, 2377, 2004, 1996, 16771, 2005, 2116, 1997, 1996, 2502, 3934, 2008, 1996, 2797, 4753, 2097, 2059, 2202, 2830, 1998, 18077, 1012, 1996, 2342, 2005, 2152, 20235, 1010, 15873, 2120, 19595, 6502, 2015, 2003, 2021, 2028, 2107, 2742, 1012, 1996, 6653, 2000, 2019, 2592, 2554, 2003, 5186, 10368, 2012, 2116, 3798, 1010, 2164, 2417, 12879, 24002, 1996, 5372, 5703, 2090, 6089, 1998, 2231, 1010, 2008, 2003, 1010, 2007, 2054, 6089, 2064, 14570, 2006, 2037, 2219, 1998, 2073, 2231, 11107, 2024, 2734, 1012, 1045, 3961, 21931, 2008, 2057, 2097, 2147, 2477, 2041, 2058, 2051, 1010, 1998, 2057, 2097, 3613, 2000, 2156, 1996, 2785, 1997, 2502, 3291, 5792, 2008, 2003, 2085, 2635, 2149, 2046, 1037, 7398, 2301, 2592, 2554, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2807, 7920, 22824, 14017, 2483, 1010, 1997, 1996, 2120, 2118, 1997, 2624, 14810, 1999, 12967, 1010, 2211, 2551, 7426, 2661, 9514, 2013, 2004, 4842, 2080, 1010, 2012, 1037, 2609, 2124, 2004, 14418, 2140, 1012, 2013, 1996, 7525, 5800, 6003, 2019, 16625, 1010, 5018, 1011, 7456, 9140, 1997, 3011, 9316, 1024, 2416, 2312, 4132, 19503, 1010, 2028, 8442, 2519, 4206, 1998, 2274, 3634, 2519, 2006, 1037, 2217, 1025, 2048, 2461, 1010, 23470, 12961, 8232, 2015, 1025, 2431, 1037, 6474, 15420, 1997, 19503, 1998, 7248, 1025, 2502, 2962, 3121, 2007, 5647, 9620, 1012, 22996, 1998, 6949, 2121, 2499, 2007, 1996, 2622, 1999, 2456, 1998, 3271, 5323, 14418, 2140, 1005, 1055, 16433, 1024, 2009, 2001, 2631, 2077, 13539, 2692, 1038, 1012, 1039, 1012, 2096, 22824, 2506, 2147, 2006, 14418, 2140, 1010, 22996, 1010, 6949, 2121, 1010, 1998, 18773, 3975, 2125, 2000, 8556, 1996, 6770, 12848, 4014, 3540, 1010, 1996, 2279, 2314, 2000, 1996, 2167, 1010, 1998, 1996, 3481, 9453, 4143, 1010, 2074, 2167, 1997, 1996, 6770, 12848, 4014, 3540, 1012, 2027, 2179, 1010, 22996, 2409, 2033, 1010, 1000, 2350, 3923, 6401, 2006, 1037, 11968, 2007, 14418, 2140, 1999, 3408, 1997, 15447, 4294, 1010, 12961, 5090, 1010, 1998, 5647, 4294, 1012, 1998, 2070, 1997, 2068, 2020, 3080, 1012, 1000, 7749, 1997, 23064, 14735, 13807, 1998, 1996, 4193, 4279, 2003, 2521, 2013, 3143, 1517, 22996, 1010, 6949, 2121, 1010, 1998, 18773, 2405, 2037, 2034, 9556, 1999, 2285, 2432, 1012, 2027, 2179, 3350, 1997, 2111, 2542, 9514, 2013, 1996, 3023, 2004, 2220, 2004, 6227, 10790, 1038, 1012, 1039, 1012, 2021, 1996, 4587, 3058, 28999, 3378, 2007, 1037, 2103, 2003, 2055, 8698, 2692, 1038, 1012, 1039, 1012, 1010, 2012, 23064, 14735, 13807, 1012, 1006, 2045, 2024, 20385, 1997, 3041, 5246, 1012, 1007, 2060, 3923, 4573, 2628, 9706, 10732, 1024, 9298, 24164, 2618, 1999, 17196, 2692, 1038, 1012, 1039, 1012, 1010, 18499, 8159, 4313, 1998, 2039, 19629, 1999, 13756, 2692, 1038, 1012, 1039, 1012, 2579, 14258, 1010, 3904, 1997, 1996, 3174, 1011, 2274, 19931, 22136, 3655, 6538, 2098, 7680, 2121, 1005, 1055, 3655, 1999, 2946, 1010, 2021, 1996, 2561, 3012, 2001, 7046, 2084, 7680, 2121, 1012, 5279, 1005, 1055, 11918, 2015, 2020, 3469, 1010, 2021, 2027, 2020, 2328, 4693, 2101, 1012, 1045, 2356, 22996, 1998, 6949, 2121, 2073, 1037, 2679, 1997, 7344, 5731, 1999, 1010, 2360, 1010, 11910, 1038, 1012, 1039, 1012, 2052, 2031, 5565, 2065, 2027, 2020, 6575, 2005, 3011, 1005, 1055, 2087, 12138, 2554, 1012, 1000, 1045, 5223, 3980, 2066, 2008, 1010, 1000, 22996, 2056, 1010, 2138, 2027, 3198, 6529, 2000, 8526, 1999, 1996, 22917, 6960, 1997, 5464, 8578, 2114, 2169, 2060, 2006, 1037, 4094, 1012, 1000, 2876, 1005, 1056, 2009, 12530, 2006, 2054, 1996, 12114, 2245, 2001, 12138, 1029, 1000, 6949, 2121, 2356, 1012, 1000, 1045, 2812, 1010, 2040, 4282, 2054, 2027, 2052, 2228, 1012, 1000, 1045, 2356, 2068, 2000, 27427, 5313, 3351, 2033, 1012, 1000, 1045, 2113, 2054, 2017, 1005, 2128, 2893, 2012, 1010, 1000, 22996, 2056, 1010, 11206, 1012, 1000, 1999, 11910, 1038, 1012, 1039, 1012, 2115, 12114, 2052, 2031, 2018, 1037, 2200, 3132, 2193, 1997, 7047, 2006, 1996, 12183, 1012, 1998, 2028, 1997, 2216, 7047, 2052, 2031, 2042, 1996, 19931, 22136, 1012, 1000, 2138, 2529, 9552, 6524, 6951, 2000, 5247, 2037, 2420, 10578, 25946, 2007, 3082, 5749, 2000, 3857, 2270, 10490, 1010, 22996, 1010, 6949, 2121, 1010, 1998, 18773, 5275, 2008, 2122, 3655, 2442, 2031, 2018, 1037, 22493, 2231, 2008, 16021, 3775, 11644, 1998, 2856, 1996, 2147, 1012, 1999, 1996, 19931, 22136, 1010, 1999, 2060, 2616, 1010, 24004, 20066, 24836, 5281, 1037, 9575, 2008, 2012, 2008, 2051, 2018, 4158, 2069, 2320, 2077, 1010, 1999, 25889, 1024, 1996, 14053, 1010, 2005, 2488, 2030, 4788, 1010, 1997, 4177, 2007, 2438, 14653, 1010, 3747, 1010, 1998, 25835, 2597, 2000, 19653, 2037, 5739, 2000, 4685, 3082, 4450, 1012, 2009, 2001, 2529, 18824, 1005, 1055, 2117, 7551, 2007, 2231, 1012, 1008, 1008, 1008, 1008, 2009, 2038, 2146, 2042, 4036, 2008, 24784, 10375, 2105, 2312, 1011, 4094, 5237, 1025, 2138, 1996, 4587, 2124, 24784, 2106, 1010, 2009, 2001, 2695, 8898, 2008, 2035, 3418, 24784, 2764, 2247, 1037, 2714, 4130, 1012, 2009, 3632, 2242, 2066, 2023, 1012, 26912, 1006, 4477, 1011, 8587, 2121, 1007, 8384, 4503, 5237, 1010, 2029, 5260, 2000, 1037, 4121, 3623, 1999, 1996, 2800, 2833, 4425, 1012, 2062, 2833, 5260, 2000, 1037, 4121, 3623, 1999, 2313, 1012, 2554, 7502, 1998, 2358, 8609, 14144, 1012, 1996, 7069, 10939, 1996, 14539, 2854, 2000, 2147, 2006, 2312, 1011, 4094, 2270, 2573, 3934, 1010, 2066, 12442, 3001, 1010, 2029, 1999, 2735, 2599, 2000, 2062, 2833, 1010, 1998, 2062, 2111, 1012, 2220, 24784, 1999, 25889, 1010, 5279, 1010, 2634, 1998, 2859, 2035, 2764, 2007, 7876, 2004, 1996, 2691, 23354, 1012, 2021, 1999, 7304, 1010, 7876, 2001, 2019, 2044, 2705, 10593, 2102, 1012, 2947, 2009, 2001, 3373, 7304, 2018, 2053, 2307, 2220, 24784, 1012, 2021, 2019, 6585, 3399, 2038, 2764, 1010, 3615, 2000, 2004, 1996, 7803, 10100, 1997, 1998, 11219, 24784, 1010, 2030, 26913, 2278, 1012, 2009, 17146, 2008, 2045, 2001, 2210, 4942, 16643, 10224, 3401, 5237, 2105, 2220, 1998, 11219, 8384, 2138, 2216, 8578, 2020, 2328, 2105, 5645, 1010, 1998, 2008, 4745, 15432, 8578, 1010, 2164, 1996, 27523, 1010, 7940, 2025, 1999, 1996, 18096, 2021, 2105, 1996, 2307, 5780, 13424, 1012, 10856, 5577, 26913, 2278, 2004, 1000, 1037, 5318, 2083, 1996, 3332, 1997, 7611, 3399, 1012, 1012, 1012, 19254, 2018, 2467, 3373, 2008, 1999, 8050, 17475, 2035, 2529, 8384, 7249, 2020, 11455, 1010, 2053, 3043, 2129, 2367, 2027, 2453, 3711, 2006, 1996, 3302, 1012, 1000, 1996, 26913, 2278, 10744, 2001, 1000, 7490, 1998, 4895, 8545, 22499, 4168, 1000, 1011, 2021, 1996, 3350, 2005, 2009, 2003, 5294, 1010, 1998, 3685, 2022, 7219, 1012, 2582, 3350, 2119, 2005, 1998, 2114, 1996, 26913, 2278, 10744, 6003, 1999, 1996, 3054, 1011, 4134, 1010, 2007, 22824, 1005, 1055, 4130, 23890, 2075, 2147, 2006, 1996, 10514, 5051, 2314, 1012, 1006, 2004, 4842, 2080, 1010, 2028, 17722, 1010, 2938, 2012, 1996, 2314, 1005, 1055, 2677, 1012, 1007, 22824, 1005, 1055, 2136, 14486, 9171, 12497, 7617, 1010, 1996, 2117, 1011, 5221, 1997, 2029, 2001, 14418, 2140, 1012, 1999, 2014, 3193, 1010, 15447, 3121, 13339, 1037, 2312, 6319, 2313, 1010, 2021, 2153, 2045, 2020, 7564, 1997, 2019, 9905, 10736, 5944, 1998, 2210, 3350, 2008, 10575, 3888, 2098, 2505, 2021, 6557, 1012, 2000, 9587, 11246, 3240, 1010, 1996, 3869, 5944, 4081, 2008, 1996, 20851, 5250, 2006, 1996, 3023, 3039, 2111, 2000, 2175, 9514, 1998, 3857, 12442, 6125, 2000, 3965, 1996, 6557, 2734, 2000, 7818, 5645, 2537, 1012, 1996, 2342, 2005, 16996, 1010, 1999, 22996, 1005, 1055, 3193, 1010, 2435, 1996, 9514, 3655, 1996, 11473, 2192, 1517, 19931, 22136, 2001, 2241, 2006, 7876, 1010, 2066, 2035, 2060, 3375, 8384, 1010, 2348, 2025, 2006, 7876, 2005, 2833, 1012, 4661, 1010, 2002, 2758, 1010, 2061, 2116, 2062, 2111, 2973, 2247, 1996, 2176, 5485, 2084, 2006, 1996, 5370, 2008, 2027, 2018, 2000, 2031, 2042, 7444, 1012, 9587, 11246, 3240, 7164, 2008, 2004, 4842, 2080, 1010, 2029, 2038, 2196, 2042, 3929, 15199, 1010, 2003, 3080, 2084, 1996, 2060, 3655, 1010, 1998, 2275, 1996, 23561, 2005, 2068, 1012, 1000, 2005, 12009, 1010, 1000, 13366, 21621, 2056, 1010, 1000, 2054, 2089, 2022, 2590, 1000, 1999, 1996, 2203, 2003, 2025, 1996, 9531, 1997, 1996, 2554, 1000, 2021, 2073, 2009, 6003, 2013, 1998, 1996, 2833, 4425, 1012, 2017, 2064, 1005, 1056, 4521, 6557, 1012, 1000, 3350, 2028, 2126, 2030, 1996, 2060, 2089, 12636, 2065, 9587, 11246, 3240, 1998, 22824, 1010, 2004, 3740, 1010, 2709, 2000, 2004, 4842, 2080, 1012, 2065, 2027, 2024, 6149, 1010, 1998, 2004, 4842, 2080, 4332, 2041, 2000, 2022, 12381, 3080, 2084, 2085, 2245, 1010, 2009, 2453, 2663, 1996, 2516, 1997, 1996, 2088, 1005, 1055, 4587, 2103, 1517, 1996, 2173, 2073, 2529, 10585, 2211, 1012, 1000, 2672, 2057, 2453, 2941, 2644, 2111, 4214, 2009, 1996, 1005, 2047, 2088, 1010, 1005, 1000, 9587, 11246, 3240, 19700, 1012, 2045, 2003, 2036, 8216, 18185, 2426, 6529, 1997, 2129, 1996, 2033, 6499, 14074, 14735, 3619, 2764, 21154, 1012, 2000, 2655, 21154, 1037, 18785, 10416, 2003, 2000, 2104, 23836, 2009, 1012, 2009, 2001, 1996, 3192, 2006, 2029, 2033, 6499, 14074, 14735, 2078, 2554, 2001, 2241, 1025, 2009, 2001, 2166, 2993, 1012, 2021, 21154, 1011, 2004, 1045, 4342, 2013, 8334, 6323, 1005, 1055, 4409, 1010, 16216, 10867, 2015, 1998, 3886, 2001, 2025, 2179, 1999, 3267, 1998, 2059, 4968, 4383, 1010, 2004, 1996, 2088, 1005, 1055, 2060, 18785, 8765, 1011, 5785, 1010, 10500, 1998, 21569, 1011, 2020, 1012, 21154, 2001, 1037, 3294, 2529, 11028, 1012, 2129, 2008, 4158, 2003, 2980, 2135, 15268, 1010, 1998, 10856, 7365, 2017, 2083, 1996, 2536, 8106, 1012, 2059, 2002, 15537, 2017, 2008, 2005, 2256, 5682, 1010, 2029, 3399, 2003, 6149, 2987, 1005, 1056, 3043, 1012, 2013, 1996, 5272, 1005, 1055, 2391, 1997, 3193, 1010, 1996, 4489, 2090, 1996, 2048, 4275, 2003, 4895, 5714, 6442, 4630, 1012, 1999, 2119, 1010, 6505, 2165, 1996, 2034, 4084, 2646, 2715, 21154, 1999, 2670, 3290, 1010, 2763, 1999, 1996, 11784, 1010, 2062, 2084, 2416, 4595, 2086, 3283, 1012, 2119, 7475, 2008, 2715, 21154, 2001, 1996, 9560, 1997, 1037, 7782, 2552, 1997, 9715, 6897, 16924, 1517, 1000, 15835, 2158, 1005, 1055, 2034, 1010, 1998, 3383, 2010, 4602, 1010, 8658, 1997, 7403, 3330, 1010, 1000, 9401, 1058, 1012, 7349, 10624, 4246, 1010, 1037, 7403, 2923, 2012, 3552, 2110, 2118, 1010, 2626, 1999, 2494, 1012, 7349, 10624, 4246, 1005, 1055, 6412, 1010, 2029, 2596, 1999, 2671, 1010, 18896, 2033, 1012, 2009, 3084, 3174, 1011, 2034, 1011, 2301, 6529, 2614, 2066, 12694, 2869, 1010, 1045, 2056, 2043, 1045, 11925, 2014, 1012, 1000, 2008, 1005, 1055, 2157, 1010, 1000, 2016, 2056, 1012, 1000, 2000, 2131, 9781, 2041, 1997, 8915, 20049, 10111, 2003, 2061, 1517, 2017, 2481, 1005, 1056, 2131, 1037, 3946, 2000, 2079, 2008, 2085, 1010, 2138, 2009, 2052, 2614, 2061, 4689, 1012, 1000, 2016, 2794, 1010, 1000, 8307, 2040, 2106, 2008, 2651, 2052, 2131, 1037, 10501, 3396, 999, 2065, 2037, 6845, 2134, 1005, 1056, 2131, 3844, 2091, 2011, 2665, 5051, 10732, 1010, 1045, 2812, 1012, 1000, 2004, 8334, 6323, 2081, 2195, 3922, 2005, 2033, 2096, 3752, 17332, 2487, 1010, 2061, 2106, 2745, 8554, 2319, 1012, 1045, 2123, 1005, 1056, 2812, 10856, 3615, 2000, 2593, 3166, 1006, 2348, 6323, 2003, 6563, 1999, 10856, 1005, 1055, 11721, 28921, 26302, 2078, 2862, 1997, 7604, 1007, 1012, 1045, 2812, 6991, 1045, 3191, 2055, 1999, 2216, 3166, 1005, 1055, 2808, 15791, 2182, 1010, 2205, 1012, 2796, 6617, 4982, 21154, 2003, 2054, 2003, 2170, 1037, 23689, 4502, 1012, 1996, 2744, 2965, 1000, 21154, 2492, 1010, 1000, 2021, 5218, 2000, 2242, 9839, 2062, 3375, 1012, 1037, 23689, 4502, 2003, 1037, 2492, 1010, 2788, 2021, 2025, 2467, 3728, 5985, 1010, 1999, 2029, 6617, 3269, 1037, 6474, 8765, 2012, 2320, 1010, 2164, 21154, 1010, 20704, 24755, 12269, 1010, 3674, 9903, 1997, 18794, 1998, 14068, 1010, 11463, 2239, 1010, 12851, 1010, 20238, 2015, 1010, 4086, 14557, 1010, 10147, 28727, 2050, 1006, 1037, 7270, 2099, 1007, 1010, 28599, 3372, 2232, 1006, 1037, 8982, 1011, 2066, 3269, 1007, 1010, 1998, 14163, 10841, 2532, 1006, 1037, 5133, 4190, 17897, 1007, 1012, 1999, 3267, 1010, 3748, 13435, 1998, 18794, 2411, 4982, 1999, 1996, 2168, 2492, 2004, 8915, 20049, 10111, 1010, 1996, 13435, 2478, 1996, 4206, 8915, 20049, 10111, 2004, 1037, 10535, 2000, 7105, 2646, 1996, 3103, 1025, 2917, 2598, 1010, 1996, 13435, 1005, 14114, 1011, 15887, 6147, 3073, 20435, 2734, 2011, 8915, 20049, 10111, 1012, 1996, 23689, 4502, 2003, 2019, 3449, 7875, 21223, 1997, 2023, 3019, 3663, 1010, 4406, 6623, 8623, 1010, 2029, 9125, 2309, 1011, 10416, 22944, 2015, 1997, 1037, 4066, 6524, 5159, 1999, 4895, 24759, 15096, 12793, 1012, 23689, 4502, 8765, 2024, 28268, 2135, 1998, 25262, 21053, 1012, 21154, 14087, 17886, 7028, 9152, 6305, 2378, 1010, 1996, 13096, 12737, 1048, 7274, 3170, 1998, 3046, 13876, 7361, 4819, 1010, 4072, 2000, 2191, 8171, 1998, 8738, 2015, 2007, 2205, 2172, 21154, 2064, 2599, 2000, 5250, 18888, 1998, 21877, 4571, 17643, 1010, 1037, 4295, 3303, 2011, 3768, 1997, 9152, 6305, 2378, 1012, 13435, 2031, 2119, 1048, 7274, 3170, 1998, 3046, 13876, 7361, 4819, 1010, 2021, 2025, 1996, 13096, 12737, 22330, 8602, 2063, 1998, 2777, 4048, 10698, 2638, 1010, 2029, 2024, 3024, 2011, 21154, 1012, 2004, 1037, 2765, 1010, 13435, 1998, 21154, 2191, 1037, 28268, 2135, 3143, 7954, 1012, 18794, 2229, 1010, 2005, 2037, 2112, 1010, 3073, 2019, 9140, 1997, 17663, 2015, 1025, 20704, 24755, 12269, 1010, 6638, 2015, 1012, 1996, 23689, 4502, 1010, 1999, 1996, 24155, 1997, 1044, 1012, 8427, 20635, 1010, 1037, 21154, 10753, 2012, 1996, 2118, 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, 3120, 1024, 2248, 6102, 3319, 1010, 5285, 1012, 2459, 2053, 1012, 1017, 1010, 2621, 3838, 1010, 4903, 1012, 6486, 1011, 6227, 1010, 10550, 1012, 2434, 5391, 6702, 1997, 2248, 6102, 3319, 1998, 12702, 23665, 3024, 2011, 1996, 27935, 17214, 14428, 3372, 4450, 8860, 1012, 14193, 1004, 2928, 1011, 2039, 1024, 4080, 8554, 8684, 1013, 16417, 3207, 1051, 1521, 2655, 26685, 2005, 1996, 15511, 2015, 1521, 4274, 8756, 1012, 2251, 2570, 1010, 3982, 1996, 5573, 2331, 1997, 7920, 11029, 1999, 2233, 4764, 6314, 1996, 15311, 14442, 1999, 1996, 2283, 1010, 1998, 2170, 5743, 1996, 2117, 3622, 8830, 1997, 1996, 4012, 18447, 11795, 2000, 16215, 18367, 1996, 2097, 1997, 1996, 2283, 3484, 1998, 2000, 5646, 1996, 5512, 1997, 1996, 2283, 4105, 2058, 2049, 2132, 1012, 7920, 11029, 2018, 2467, 2209, 1037, 2502, 2535, 1999, 1996, 2283, 1010, 1998, 2002, 2018, 2790, 2000, 2022, 14638, 2135, 2511, 1999, 1996, 2436, 1997, 2236, 3187, 1012, 2010, 2331, 1999, 1996, 3539, 1997, 2010, 2166, 2428, 3184, 2477, 2039, 1012, 1996, 2048, 1523, 2502, 3415, 1524, 1999, 1996, 2283, 2012, 2008, 2051, 2020, 2216, 1997, 6469, 1998, 7920, 11029, 1010, 1998, 1996, 14653, 1997, 2119, 2018, 2042, 2092, 3687, 2011, 2037, 3025, 2501, 1997, 26157, 4023, 1012, 6469, 2001, 8228, 2005, 2010, 2147, 2004, 19012, 1998, 3003, 1997, 1996, 2307, 3886, 4894, 1997, 4529, 1998, 2010, 4745, 10106, 2004, 19012, 1997, 1996, 10722, 2884, 1025, 7920, 11029, 2005, 2010, 14779, 2954, 2114, 1996, 2162, 1998, 2010, 5151, 4023, 2004, 1037, 7156, 4750, 1010, 1998, 2036, 2005, 2010, 3827, 3408, 1010, 9191, 2135, 15356, 1012, 1996, 2283, 2372, 2020, 2092, 5204, 1997, 1996, 3643, 1997, 2037, 2270, 5891, 2015, 1998, 1010, 2011, 2691, 9619, 1010, 1996, 2048, 2273, 2218, 4460, 1997, 2569, 12495, 10224, 3401, 2004, 2283, 4177, 1998, 2270, 3764, 6491, 2368, 2005, 2008, 3114, 1012, 10233, 2389, 4023, 2018, 2794, 2498, 2000, 1996, 14653, 1997, 1996, 2048, 2087, 2759, 4177, 1025, 2065, 2505, 1010, 2009, 2018, 5399, 16985, 28357, 2009, 1012, 1997, 2035, 1996, 2877, 2111, 1999, 2010, 10233, 1010, 7920, 11029, 2018, 2011, 2521, 1996, 4602, 4847, 1998, 3167, 3747, 1999, 1996, 2283, 6938, 1012, 1996, 10233, 2001, 7942, 6494, 25499, 2170, 1996, 1523, 7920, 11029, 2177, 1524, 1999, 2344, 2000, 3007, 4697, 2006, 2010, 14653, 1012, 2021, 1996, 7920, 11029, 2177, 1010, 2007, 7920, 11029, 1010, 2001, 1037, 7162, 1999, 1996, 2283, 1010, 2004, 1996, 2524, 1011, 4061, 3864, 2000, 1996, 4849, 4680, 2018, 4415, 7645, 1012, 2012, 1996, 2051, 1997, 1996, 4849, 4680, 1996, 1523, 5830, 2013, 4924, 1010, 1524, 2004, 10009, 2011, 1996, 4012, 18447, 11795, 4387, 2006, 1996, 2598, 1010, 2018, 9225, 2357, 2023, 7162, 2046, 1037, 3484, 1998, 2187, 1996, 2283, 2372, 1010, 2040, 2018, 7036, 2135, 5444, 2005, 2037, 3601, 1997, 10284, 2000, 1996, 2283, 4680, 1010, 2559, 2066, 18656, 2040, 2018, 20706, 2245, 2027, 2018, 2070, 2916, 1998, 3653, 3217, 26792, 2015, 1999, 1996, 3043, 1997, 11322, 2075, 1996, 2283, 4105, 1012, 2178, 1523, 5830, 2013, 4924, 1524, 2499, 1996, 2168, 9727, 1997, 3810, 1037, 7162, 2046, 1037, 3484, 1999, 4764, 1012, 26215, 6567, 2247, 1996, 2168, 2240, 6360, 14154, 11818, 17799, 1996, 2283, 2372, 2046, 9353, 15549, 28964, 1998, 4359, 2037, 3537, 4204, 2000, 1037, 4349, 1012, 1996, 2535, 1997, 1996, 4012, 18447, 11795, 1999, 1996, 3821, 1997, 1996, 2137, 4750, 2283, 2001, 8590, 2013, 2008, 1997, 1037, 5379, 3747, 1999, 5609, 1997, 3343, 2046, 2008, 1997, 1037, 3622, 1010, 12077, 12098, 16313, 2121, 1999, 13296, 3980, 1010, 2164, 1996, 2087, 2590, 3160, 1010, 1996, 4989, 1997, 1996, 4105, 1012, 6920, 1010, 1996, 2283, 6025, 2069, 1996, 22917, 2157, 2000, 2175, 2083, 1996, 15323, 1025, 1996, 6567, 2020, 2081, 1999, 4924, 1012, 1996, 2832, 1997, 17903, 1996, 2283, 2013, 1037, 2969, 1011, 8677, 1010, 3537, 3029, 2046, 1037, 13997, 1997, 1996, 1047, 28578, 4115, 1010, 2029, 2018, 2042, 2318, 1999, 4849, 1010, 2001, 3935, 2178, 2502, 2754, 2646, 6503, 1999, 4764, 1012, 2008, 2003, 1996, 6827, 3574, 1997, 2023, 2095, 1999, 2283, 2381, 1012, 2673, 2842, 2003, 3905, 1998, 5043, 2389, 1012, 1996, 15311, 5337, 1523, 3484, 1524, 1997, 1996, 7920, 11029, 2177, 2018, 2042, 6314, 2130, 2077, 7920, 11029, 2351, 2011, 1996, 21262, 3258, 1997, 2837, 2372, 11417, 23808, 5643, 1998, 3608, 3286, 1012, 2059, 2234, 1996, 5573, 2331, 1997, 7920, 11029, 1010, 2000, 2139, 18098, 3512, 1996, 10233, 1997, 2049, 2087, 6383, 6180, 1998, 2049, 10473, 4366, 2000, 1996, 7023, 1997, 1996, 2283, 6938, 1012, 2129, 2059, 2071, 2107, 2019, 2012, 6528, 16453, 7162, 10233, 1010, 2302, 7920, 11029, 1010, 3246, 2000, 1523, 2491, 1524, 1996, 2283, 1998, 4468, 2746, 2000, 3820, 2005, 6792, 2007, 1996, 2060, 2967, 2040, 11846, 1996, 3484, 1999, 1996, 2430, 3237, 2837, 1029, 2057, 2165, 2009, 2005, 4379, 2008, 2009, 2481, 1521, 1056, 2022, 2589, 1010, 1998, 8979, 2006, 1996, 11213, 2008, 1037, 4373, 24388, 13665, 1997, 1996, 2877, 3095, 2018, 2000, 3582, 2004, 1037, 3043, 1997, 2607, 1012, 2021, 2009, 2134, 1521, 1056, 2147, 2041, 2008, 2126, 1012, 1996, 5329, 2020, 16934, 2005, 1037, 2367, 9560, 1025, 1998, 2057, 2020, 3249, 2077, 2057, 2318, 1012, 2035, 2057, 2018, 2006, 2256, 2217, 2020, 1996, 3513, 1997, 20204, 1010, 1996, 6543, 2916, 1997, 1996, 3484, 1997, 1996, 2430, 3237, 2837, 1010, 1996, 7961, 1997, 1996, 3663, 1010, 1998, 1996, 25672, 12083, 3064, 2490, 1997, 1996, 3484, 1997, 1996, 2283, 2012, 1996, 2051, 1012, 2035, 2008, 2001, 2025, 2438, 1012, 2006, 2010, 2217, 1010, 7459, 5524, 2018, 2010, 2219, 4439, 21517, 2000, 15126, 2491, 1997, 1996, 2283, 1010, 7539, 1997, 1996, 2097, 1997, 1996, 3484, 1010, 1998, 1996, 2490, 1997, 4924, 1012, 2122, 4928, 2000, 2022, 1996, 9078, 5329, 1999, 1996, 2208, 2008, 2001, 4567, 2041, 2058, 1037, 2558, 1997, 2416, 2706, 2000, 2049, 18921, 8551, 18175, 2094, 7091, 1012, 7459, 5524, 2234, 2041, 1997, 1996, 27264, 1997, 4764, 2007, 1996, 1523, 3484, 1523, 1516, 2445, 2000, 2032, 2011, 1996, 4012, 18447, 11795, 1516, 1998, 2218, 2009, 2127, 1996, 2168, 4259, 3691, 2787, 2000, 2202, 2009, 2185, 2013, 2032, 2048, 2086, 2101, 1012, 7459, 5524, 2165, 1996, 2034, 7577, 2011, 2383, 2370, 2805, 2011, 1996, 2576, 2837, 2000, 1996, 2695, 1997, 2236, 3187, 1010, 15348, 2011, 7920, 11029, 1521, 1055, 2331, 1012, 6543, 2135, 1010, 2023, 2001, 2041, 1997, 2344, 1012, 1996, 2157, 2000, 16823, 2283, 3738, 6272, 2000, 1996, 2440, 20228, 2368, 2819, 1997, 1996, 2430, 3237, 2837, 1010, 1996, 2576, 2837, 2108, 6414, 1037, 18052, 1997, 2008, 2303, 1012, 2057, 6303, 1996, 6234, 4214, 1997, 1037, 2440, 20228, 2368, 2819, 2000, 3066, 2007, 2035, 1996, 3471, 17707, 2013, 7920, 11029, 1521, 1055, 2331, 1010, 2164, 1996, 6098, 1997, 2010, 6332, 1999, 1996, 2695, 1997, 2283, 3187, 1012, 11417, 23808, 5643, 1998, 1045, 2018, 2272, 2000, 3820, 2007, 6469, 2008, 11417, 23808, 5643, 2323, 2468, 1996, 2047, 2283, 3187, 1025, 1998, 2144, 2057, 3421, 1037, 3484, 1997, 1996, 20228, 2368, 2819, 1010, 2057, 3517, 2000, 15389, 1996, 3247, 1012, 2059, 2234, 7577, 2193, 2048, 2005, 7459, 5524, 1012, 1996, 4012, 18447, 11795, 5830, 2094, 2049, 3247, 2008, 1996, 20228, 2368, 2819, 2071, 3113, 2035, 2157, 1010, 2021, 2009, 2071, 2025, 2191, 2151, 8031, 6567, 2006, 13296, 3980, 14223, 1037, 9584, 1997, 1996, 2878, 3043, 1999, 4924, 1012, 2035, 1996, 2877, 4505, 1997, 1996, 13815, 2020, 2000, 2272, 2000, 4924, 2005, 2008, 3800, 1012, 2144, 1996, 2708, 1523, 13296, 3980, 1524, 2020, 1996, 17118, 1997, 1996, 2576, 2837, 2247, 1996, 3210, 1997, 1996, 20228, 2368, 2819, 3484, 1010, 1998, 1996, 6098, 1997, 1037, 2047, 2283, 3187, 1010, 2023, 5830, 1997, 1996, 4012, 18447, 11795, 1010, 23734, 2007, 23410, 8689, 1010, 2941, 2187, 7459, 5524, 1999, 2491, 2012, 2119, 2685, 1516, 2139, 13743, 2065, 2025, 2139, 18414, 2890, 1012, 1996, 3116, 1997, 1996, 11074, 20228, 2368, 2819, 1997, 1996, 4750, 2283, 1997, 1996, 2142, 2163, 1010, 10386, 1999, 5083, 2000, 2191, 2151, 8031, 6567, 1010, 2001, 2081, 2130, 2062, 2521, 19053, 2389, 2011, 1996, 4945, 1997, 7459, 5524, 2000, 2265, 2039, 2005, 1996, 2117, 5219, 1012, 2002, 1998, 21025, 19646, 5004, 2018, 9225, 7745, 2005, 4924, 1010, 2073, 1996, 6567, 2020, 2000, 2022, 2081, 1010, 2302, 2061, 2172, 2004, 1037, 2011, 1011, 2115, 1011, 2681, 2030, 9119, 2000, 1996, 2700, 2877, 2303, 1997, 1996, 2283, 2000, 2029, 2027, 1010, 2066, 2035, 2060, 2283, 2372, 1010, 2020, 10712, 1011, 2030, 2061, 2009, 2056, 1999, 1996, 4552, 1011, 15144, 1012, 1999, 1037, 17844, 7965, 1010, 2969, 1011, 8677, 2283, 1010, 2920, 1999, 1996, 2465, 5998, 1999, 2049, 2219, 2406, 1998, 12285, 2104, 2049, 2219, 2373, 1010, 2107, 18555, 17152, 2005, 2049, 2219, 2877, 2303, 2052, 2053, 4797, 2022, 7182, 2000, 5860, 5596, 4183, 2049, 3166, 1998, 3288, 25732, 26248, 2013, 1996, 2283, 6938, 1012, 2498, 2066, 2008, 3047, 1999, 4668, 2000, 1996, 7570, 10893, 5289, 6204, 1997, 7459, 5524, 2006, 2023, 6686, 1012, 1996, 3484, 1997, 1996, 20228, 2368, 2819, 8682, 2039, 1999, 4963, 1012, 6469, 28554, 2098, 1998, 11865, 7583, 1998, 2435, 18834, 2000, 2010, 27427, 23773, 3370, 1999, 4895, 19362, 6632, 3672, 5649, 2653, 1012, 2021, 2045, 2001, 2498, 2008, 2057, 1010, 1996, 25073, 2700, 3484, 1010, 2071, 2079, 2055, 2009, 1025, 2057, 2071, 2025, 2191, 2151, 1523, 8031, 6567, 1524, 2006, 2151, 3160, 1516, 1996, 4012, 18447, 11795, 5830, 2018, 10386, 2008, 1012, 2144, 4849, 1996, 2283, 2018, 6360, 2042, 9353, 15549, 2229, 6129, 1999, 1996, 1038, 10994, 3436, 2041, 1997, 2049, 3671, 2916, 2004, 1037, 2969, 1011, 8677, 3029, 2127, 2009, 2018, 2525, 2439, 4356, 1997, 2122, 2916, 1012, 7459, 5524, 1521, 1055, 9446, 3560, 2895, 2006, 2023, 6686, 2069, 2104, 9363, 5596, 1996, 2613, 3570, 1997, 1996, 2283, 1999, 7189, 2000, 1996, 4924, 2058, 19980, 2015, 1012, 2045, 2001, 2498, 2000, 2079, 2021, 2132, 2005, 4924, 2320, 2153, 1999, 2344, 2000, 3046, 2000, 28568, 2041, 2178, 4011, 1523, 24216, 1012, 1524, 7021, 15354, 2135, 1010, 2256, 13675, 2098, 15859, 3723, 1999, 2216, 2420, 3413, 11031, 2035, 4824, 1010, 1998, 2009, 3957, 2033, 1037, 15875, 3110, 2000, 9131, 2009, 1012, 1045, 2514, 1037, 2978, 11004, 2055, 17927, 2009, 2130, 2085, 1010, 2044, 1996, 10876, 2063, 1997, 2061, 2116, 2086, 1998, 1996, 14404, 1997, 2061, 2116, 2062, 2590, 2477, 1010, 2021, 11417, 23808, 5643, 1998, 1045, 2253, 2000, 4924, 2362, 2440, 1997, 7023, 2008, 2256, 2565, 2005, 1996, 4373, 24388, 13665, 1997, 1996, 4105, 2006, 1037, 7268, 3978, 1010, 1998, 1996, 28763, 1997, 1996, 2214, 13815, 1010, 2052, 4374, 1996, 2490, 1997, 1996, 4012, 18447, 11795, 1012, 2144, 4445, 1997, 1996, 2060, 13815, 6815, 1996, 2157, 2000, 2491, 1998, 1523, 2002, 3351, 22847, 1524, 1999, 1996, 4105, 2071, 20327, 1037, 3484, 1999, 1996, 2430, 3237, 2837, 1010, 2096, 2057, 11846, 1037, 15298, 5703, 1997, 2373, 1010, 2057, 3373, 2008, 1996, 2060, 13815, 2052, 2022, 15055, 2000, 9353, 15549, 2229, 3401, 1999, 2256, 2565, 1010, 2012, 2560, 2005, 1996, 2279, 2558, 1012, 2057, 9731, 2106, 2025, 6614, 2012, 13296, 2491, 1997, 1996, 2283, 1010, 2593, 2004, 1037, 3584, 10233, 2030, 1999, 5257, 2007, 2028, 1997, 1996, 2500, 1012, 2256, 6614, 2001, 2000, 29476, 2039, 2035, 1996, 10233, 2389, 12139, 2015, 1998, 3443, 3785, 1999, 1996, 2877, 2837, 2073, 2169, 3265, 2052, 2022, 2489, 2000, 2202, 1037, 2597, 7863, 2135, 1010, 2006, 1996, 22617, 1997, 2151, 2576, 3160, 2029, 2453, 2272, 2039, 1010, 2302, 7634, 2000, 3025, 10233, 2389, 12139, 2015, 1012, 1999, 6594, 2426, 9731, 1010, 1998, 1999, 2256, 2236, 10398, 1999, 1996, 2283, 1010, 2057, 2020, 2927, 2000, 17902, 1996, 2801, 2008, 2576, 3980, 2323, 2202, 23359, 2058, 13296, 16852, 1010, 2164, 2130, 2283, 1523, 2491, 1012, 1524, 2045, 2020, 2053, 20868, 2890, 8663, 6895, 20470, 2571, 2576, 5966, 2090, 1996, 13815, 2012, 1996, 2617, 1012, 2008, 2790, 2000, 5684, 2256, 2565, 2005, 1996, 27574, 1997, 1996, 2877, 3787, 1997, 2169, 10233, 1999, 1037, 7268, 2877, 2303, 1012, 2057, 3373, 2008, 1996, 4942, 8551, 12758, 1997, 2576, 3980, 2000, 13296, 16852, 1997, 10233, 2491, 1516, 1037, 2110, 1997, 3821, 2525, 19283, 2000, 1037, 6196, 6698, 1516, 2071, 2069, 28616, 2098, 18100, 2618, 1998, 13593, 1996, 2283, 5779, 2004, 2092, 2004, 1996, 4105, 1012, 2005, 2026, 2112, 1010, 1045, 2001, 2074, 2059, 2927, 2000, 4632, 27605, 13806, 2007, 2440, 4824, 1010, 1998, 2000, 2202, 1999, 2757, 17300, 1010, 1996, 17497, 2923, 6958, 2008, 2590, 2576, 16852, 2323, 2467, 2272, 2034, 1012, 2008, 4417, 1996, 2927, 1997, 1037, 2128, 10050, 19304, 2029, 2001, 2776, 2000, 2599, 2033, 2041, 1997, 1996, 10233, 2389, 8894, 1997, 2008, 2051, 3031, 1996, 2152, 2346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 9682, 6475, 2038, 2042, 6206, 1999, 7359, 2144, 2384, 1010, 2021, 2009, 2001, 2464, 1999, 1996, 15717, 2058, 1996, 5353, 1012, 1037, 13972, 19488, 1047, 8747, 2475, 3081, 3189, 2009, 1517, 1037, 2235, 3756, 4946, 2001, 3909, 2105, 1051, 21463, 2007, 1037, 9484, 2007, 1037, 4037, 4769, 1012, 2096, 2116, 1010, 2164, 1996, 7254, 4418, 1010, 2360, 2054, 9682, 23562, 2167, 2003, 2725, 2003, 6206, 1010, 1996, 2194, 2758, 2009, 2288, 1037, 23701, 6299, 2013, 1996, 2976, 2231, 1998, 3488, 2000, 3613, 6475, 1999, 1996, 2250, 1012, 1047, 8747, 2475, 2034, 7282, 9682, 23562, 2167, 2006, 3986, 2154, 1010, 3909, 1037, 4946, 2008, 3344, 1996, 2137, 5210, 1012, 2021, 2058, 1996, 5353, 1010, 2008, 2168, 4946, 2001, 2464, 4755, 1037, 9484, 2005, 2049, 4037, 2105, 11928, 7630, 2050, 1010, 2264, 1051, 21463, 1998, 1996, 2167, 5370, 1012, 1996, 7254, 4418, 2758, 2009, 2363, 9877, 1997, 10821, 1012, 1523, 2111, 2020, 23558, 2000, 2360, 1996, 2560, 1012, 1996, 3737, 1997, 1996, 22028, 1998, 1996, 3042, 4455, 2008, 2057, 1521, 2128, 2893, 1010, 2111, 2024, 6171, 15807, 2008, 2023, 2003, 6230, 1010, 2008, 2023, 2449, 2052, 2130, 5136, 2635, 2023, 2799, 1010, 1524, 2056, 3237, 2472, 20481, 2072, 16139, 1012, 16139, 2758, 2045, 2003, 1037, 2110, 2375, 2006, 9682, 6475, 1998, 2169, 2221, 2038, 2049, 2219, 16692, 2000, 19444, 1037, 7221, 1012, 2021, 9682, 23562, 2167, 2758, 2009, 2363, 1037, 23701, 6299, 2013, 1996, 2976, 5734, 3447, 4352, 1996, 2194, 2000, 2224, 1996, 2250, 2686, 2005, 2023, 3800, 1012, 1523, 9682, 23562, 2167, 1010, 2026, 7396, 1010, 14882, 2023, 9146, 1998, 2003, 3568, 9362, 2000, 4875, 23562, 1999, 7359, 2138, 2976, 2375, 2003, 4259, 2058, 2110, 2375, 2030, 2334, 16692, 2015, 1010, 2004, 1996, 2553, 2003, 2182, 1010, 1524, 2056, 2708, 3423, 9517, 2745, 22432, 21711, 3334, 1012, 1523, 1996, 2518, 2003, 1010, 2009, 1521, 1055, 2428, 25198, 2005, 2619, 2000, 2272, 2013, 2648, 7359, 2007, 1996, 7848, 1997, 5278, 2256, 4277, 1010, 1524, 16139, 17970, 1012, 2065, 9682, 23562, 2167, 2038, 2179, 1037, 7077, 11484, 2000, 1996, 2375, 1010, 2059, 1996, 7254, 4418, 2758, 2009, 3488, 2000, 2485, 2009, 2157, 2185, 1012, 1999, 1996, 12507, 1010, 1996, 2194, 3488, 2000, 2079, 2449, 2004, 2009, 1521, 1055, 2589, 2035, 2105, 1996, 2406, 1012, 1523, 1996, 2933, 2003, 5791, 2000, 4888, 1999, 7359, 1012, 2009, 1521, 1055, 2092, 2363, 2408, 1996, 2406, 1998, 2057, 2903, 2008, 7359, 2003, 2183, 2000, 2066, 2383, 2149, 2320, 2027, 1521, 2310, 2288, 2009, 2004, 2092, 1010, 1524, 2056, 22432, 21711, 3334, 1012, 2111, 1047, 8747, 2475, 3764, 2007, 4694, 1521, 1056, 3243, 3201, 2000, 9979, 1996, 2801, 1012, 1523, 1045, 2074, 2228, 2009, 2987, 1521, 1056, 7141, 2182, 1012, 1045, 2123, 1521, 1056, 2228, 2009, 1521, 1055, 2112, 1997, 1996, 5053, 1997, 2023, 2173, 1010, 1524, 2056, 3050, 3349, 6319, 4901, 2358, 1012, 17936, 1012, 1523, 2383, 2035, 2122, 23562, 2272, 2041, 2785, 1997, 8435, 2009, 1010, 2785, 1997, 8435, 1996, 6888, 1997, 2129, 2009, 2003, 2041, 2182, 1010, 1524, 2056, 7247, 2103, 6319, 12234, 2632, 3207, 1012, 1996, 7254, 4418, 2758, 2009, 3488, 2000, 2954, 2023, 2000, 1996, 2440, 6698, 1997, 1996, 2375, 1012, 1047, 8747, 2475, 2038, 2664, 2000, 12210, 2007, 1996, 17032, 3251, 1996, 23701, 6299, 3565, 22119, 2015, 2110, 1998, 2221, 4277, 1010, 2021, 2065, 1996, 2194, 2003, 1999, 11371, 1010, 2009, 2071, 2227, 21892, 7478, 2013, 1002, 3263, 1011, 1002, 1019, 1010, 2199, 1012, 2930, 1015, 3277, 1037, 8196, 1997, 23701, 6299, 2030, 20104, 1517, 2930, 6205, 1012, 23532, 1006, 9484, 28379, 1007, 1017, 1011, 6079, 2565, 9651, 1998, 7316, 4942, 6508, 13473, 2213, 1006, 13866, 2869, 1007, 4023, 3642, 1012, 13092, 2692, 1012, 1017, 1011, 5786, 7863, 1012, 1996, 7863, 1997, 2023, 4708, 2003, 2000, 5646, 2065, 2019, 23761, 2003, 7792, 2005, 26354, 26620, 1997, 1037, 8196, 1997, 23701, 6299, 2030, 20104, 2005, 9484, 15805, 3136, 1012, 3144, 6503, 1997, 2023, 4708, 3463, 1999, 26354, 26620, 1997, 1037, 8196, 2030, 21406, 1997, 1996, 4646, 1012, 1037, 1012, 3691, 1012, 2516, 2403, 1997, 1996, 3642, 1997, 2976, 7040, 1006, 2403, 12935, 2099, 1007, 2112, 6205, 1010, 1073, 6205, 1012, 23532, 1010, 3640, 2005, 1996, 26354, 26620, 1997, 1037, 8196, 1997, 23701, 6299, 2030, 20104, 2005, 2948, 9484, 15805, 3136, 1012, 1038, 1012, 6210, 1012, 1037, 9484, 2003, 2019, 6475, 5396, 3569, 2011, 1037, 5741, 7705, 4987, 27223, 2000, 1996, 2948, 1998, 18948, 2369, 1996, 2948, 1012, 1039, 1012, 11395, 1012, 9224, 1997, 2593, 3115, 2030, 7775, 4696, 2948, 2089, 6611, 2005, 1037, 8196, 2000, 8526, 1999, 9484, 15805, 3136, 1012, 9224, 1997, 7775, 4696, 2948, 2089, 2036, 2022, 3223, 2000, 5452, 2104, 1996, 8910, 1997, 1037, 23701, 6299, 2000, 1073, 6205, 1012, 22997, 1006, 1041, 1007, 1012, 1040, 1012, 2976, 15201, 25979, 1012, 2156, 3275, 1017, 1011, 2403, 1010, 20228, 10715, 1011, 11518, 1010, 2930, 26963, 1010, 4431, 2592, 1024, 2270, 4277, 3378, 2007, 8518, 1997, 2023, 14812, 1010, 2005, 8606, 4953, 12711, 15201, 25979, 2005, 9484, 15805, 3136, 1012, 1041, 1012, 3596, 2109, 1012, 2976, 5734, 3447, 1006, 17032, 1007, 2433, 6255, 14526, 1011, 1016, 1010, 4646, 2005, 1037, 8196, 1997, 23701, 6299, 2030, 20104, 1006, 2156, 3275, 1017, 1011, 1020, 1007, 1010, 2003, 1037, 4800, 5311, 20688, 2433, 2109, 2000, 6611, 2005, 17032, 2433, 6255, 14526, 1011, 1015, 1010, 8196, 1997, 23701, 6299, 2030, 20104, 1006, 2156, 3275, 1017, 1011, 1021, 1012, 1007, 1996, 5991, 2008, 6611, 2000, 9484, 15805, 3136, 2024, 3205, 1999, 4942, 28689, 14413, 1017, 1011, 6273, 1039, 1012, 1042, 1012, 12339, 1012, 2019, 23761, 17942, 1037, 8196, 2003, 3625, 2005, 1996, 6503, 1998, 12339, 1997, 17032, 2433, 6255, 14526, 1011, 1016, 1012, 1996, 4646, 2323, 2022, 7864, 1037, 6263, 1997, 2382, 2420, 2077, 1996, 9484, 15805, 4023, 2097, 2202, 2173, 1012, 1073, 4008, 2629, 1011, 12104, 7816, 2011, 5721, 1012, 3272, 2005, 7254, 6475, 5733, 9362, 2104, 2930, 4008, 2629, 1011, 11176, 1006, 2385, 1007, 1998, 1006, 2459, 1007, 1010, 1996, 2195, 5721, 2089, 11092, 16692, 2015, 21575, 4908, 2015, 1998, 7254, 6475, 5733, 2025, 10890, 2011, 5433, 4008, 2629, 1011, 11118, 2000, 4008, 2629, 1011, 12606, 1012, 1996, 16692, 2015, 2089, 1024, 1006, 1017, 1007, 23469, 1996, 13760, 2030, 6032, 1997, 2151, 2828, 1997, 4908, 2030, 1996, 14962, 1997, 2151, 7254, 6475, 5080, 1999, 3327, 3033, 1010, 2030, 1999, 2035, 3033, 1010, 1997, 1996, 2221, 1025, 3024, 2008, 1996, 13574, 4618, 2025, 6611, 2000, 2151, 2880, 5060, 2030, 3696, 2649, 1999, 2930, 4008, 2629, 1011, 11176, 1006, 1015, 1007, 1025, 1998, 3024, 2582, 2008, 1010, 4983, 1037, 2221, 16692, 27171, 4728, 1010, 1996, 13574, 4618, 7949, 2000, 4908, 2015, 2030, 7254, 6475, 5733, 2284, 1999, 1996, 29357, 2030, 5380, 3458, 1996, 7372, 1997, 1996, 2221, 2008, 2024, 5710, 2013, 2151, 2270, 3307, 1010, 2380, 1010, 2030, 2060, 2270, 2173, 2284, 2306, 1996, 2221, 1025, 1523, 16692, 26325, 9682, 6475, 2106, 2025, 23640, 1996, 2034, 7450, 2030, 1996, 5020, 3860, 11075, 1997, 1996, 15276, 7450, 1012, 16598, 1521, 1055, 29357, 2001, 1037, 2512, 14289, 16558, 2594, 7057, 1010, 1998, 1996, 16692, 2001, 9608, 1010, 21386, 8699, 1010, 1998, 11581, 2135, 3141, 2000, 11476, 10605, 5426, 1012, 3429, 2629, 1042, 1012, 7605, 27743, 1012, 1524, 3720, 1020, 1012, 9682, 6475, 10819, 1012, 2871, 1011, 1020, 1012, 1015, 10890, 1516, 11790, 1012, 1006, 1037, 1007, 3272, 2004, 3039, 2104, 4942, 29015, 1006, 1038, 1007, 1010, 2053, 2711, 4618, 2224, 2151, 2828, 1997, 2948, 2030, 2060, 2969, 1011, 15801, 2030, 20934, 18232, 3372, 10519, 4874, 2000, 4653, 1999, 2151, 5450, 2030, 2005, 2151, 3800, 18971, 2151, 3696, 2030, 6475, 5080, 1012, 2005, 1996, 3800, 1997, 2023, 2930, 1010, 1037, 1523, 3696, 2030, 6475, 5080, 1524, 2950, 1010, 2021, 2003, 2025, 3132, 2000, 1010, 1037, 13082, 1010, 9484, 1010, 3015, 1010, 3861, 1010, 4169, 1010, 2422, 1010, 2944, 1010, 4653, 1010, 16199, 1010, 5060, 1010, 14614, 1010, 16751, 1010, 6454, 2030, 2151, 2060, 2433, 1997, 6475, 3696, 2030, 5080, 1012, 1006, 1015, 1007, 4942, 29015, 1006, 1037, 1007, 4618, 2025, 23469, 1996, 4653, 1997, 2019, 12151, 2928, 1010, 3119, 2171, 1010, 3119, 16751, 1010, 2030, 11749, 2006, 1996, 8829, 1997, 2019, 2948, 2030, 2969, 1011, 15801, 2030, 20934, 18232, 3372, 10519, 4874, 2065, 1996, 6913, 8875, 2003, 2104, 1996, 6095, 2030, 8819, 1997, 1996, 2948, 1521, 1055, 2030, 10519, 4874, 1521, 1055, 3954, 1012, 1006, 1016, 1007, 4942, 29015, 1006, 1037, 1007, 4618, 2025, 23469, 1996, 4653, 1997, 1037, 3696, 2030, 6475, 5080, 2872, 12590, 1998, 5710, 2069, 2306, 1996, 4592, 1997, 2019, 2948, 2030, 2969, 1011, 15801, 2030, 20934, 18232, 3372, 10519, 4874, 1012, 1006, 1017, 1007, 4942, 29015, 1006, 1037, 1007, 4618, 2025, 6611, 2000, 1996, 4653, 1997, 1037, 3696, 2030, 6475, 5080, 2043, 2872, 2006, 2030, 4987, 2000, 2151, 2598, 1010, 2311, 1010, 2030, 3252, 1998, 3395, 2000, 7816, 2104, 3127, 2538, 2030, 4601, 1012, 2107, 1037, 3696, 2030, 6475, 5080, 4618, 2022, 7936, 1010, 10890, 1010, 2030, 4728, 12222, 2004, 3024, 2104, 1996, 12711, 3127, 1012, 1006, 10819, 1012, 2410, 1011, 3590, 1012, 1015, 1010, 1054, 1012, 1051, 1012, 3301, 1006, 3172, 3968, 1012, 1007, 1025, 2572, 1012, 2030, 2094, 1012, 5986, 1011, 3943, 1007, 10819, 1012, 2871, 1011, 1020, 1012, 1016, 11371, 1516, 6531, 1012, 2151, 2711, 2040, 23640, 2015, 2151, 9347, 1997, 2023, 3720, 4618, 1010, 2588, 10652, 1010, 2022, 14248, 2011, 1037, 2986, 2025, 2625, 2084, 1002, 2423, 1012, 4002, 4496, 2062, 2084, 1002, 3156, 1012, 4002, 1010, 2030, 2011, 10219, 2025, 17003, 2093, 2706, 1010, 2030, 2011, 2119, 1012, 1006, 10819, 1012, 2410, 1011, 3590, 1012, 1016, 1010, 1054, 1012, 1051, 1012, 3301, 1006, 3172, 3968, 1012, 1007, 1007, 2142, 2163, 2457, 1997, 9023, 1010, 6619, 4984, 1012, 2415, 2005, 16012, 1011, 12962, 5290, 1010, 4297, 1012, 1025, 18281, 13652, 1010, 23953, 1011, 10439, 24178, 2015, 1010, 1058, 1012, 2103, 1998, 2221, 1997, 16598, 1025, 2848, 13575, 1010, 1999, 2010, 2880, 3977, 2004, 1996, 2103, 1998, 2221, 1997, 16598, 12388, 29163, 4905, 1025, 19651, 3366, 1052, 1012, 2522, 14343, 2050, 1010, 1999, 2010, 2880, 3977, 2004, 2708, 1997, 2610, 1010, 16598, 2610, 2533, 1010, 6332, 2000, 3389, 1040, 1012, 2123, 11631, 5657, 1010, 16362, 1011, 10439, 14774, 2229, 1012, 2053, 1012, 5840, 1011, 24704, 2575, 1012, 1996, 2103, 1998, 2221, 1997, 16598, 1010, 7359, 1006, 1523, 16598, 1524, 1007, 1010, 2038, 1037, 2146, 2381, 1997, 7721, 10738, 15709, 2058, 2049, 5107, 5957, 1010, 2019, 3947, 2881, 2000, 4047, 1996, 2181, 1521, 1055, 4310, 1998, 4235, 1011, 8228, 12916, 4219, 1012, 2005, 2742, 1010, 1999, 3890, 1010, 16598, 2001, 2426, 1996, 2034, 7602, 2000, 4372, 18908, 1037, 7721, 16692, 21575, 5751, 1010, 2156, 2110, 1058, 1012, 6323, 9693, 1010, 4297, 1012, 1010, 2753, 5292, 2860, 1012, 3943, 1010, 4413, 2683, 1052, 1012, 14134, 6445, 2629, 1010, 6445, 2575, 1006, 3476, 1007, 1010, 1998, 1010, 1999, 3301, 1010, 16598, 2034, 2979, 2054, 2101, 2150, 8001, 16692, 1997, 16598, 1073, 2871, 1011, 1020, 1012, 1015, 1006, 2727, 1007, 1006, 1523, 1996, 16692, 1524, 1007, 1010, 2029, 25822, 9682, 6475, 1012, 1996, 3160, 3591, 1999, 2023, 5574, 2003, 3251, 1996, 16692, 2089, 2022, 2109, 2000, 21573, 2019, 12288, 2177, 2013, 28379, 9682, 23562, 2058, 1996, 12212, 1997, 16598, 1012, 2000, 3437, 2023, 3160, 1010, 2057, 2442, 2034, 5630, 3251, 1996, 16692, 2003, 3653, 6633, 13876, 2098, 2011, 2976, 2375, 1010, 1998, 1010, 2065, 2025, 1010, 3251, 2009, 5235, 6543, 17423, 2104, 1996, 2034, 7450, 1998, 1996, 5020, 3860, 11075, 1997, 1996, 15276, 7450, 1012, 2625, 2084, 2274, 2086, 3283, 1010, 2057, 4660, 1996, 3653, 6633, 16790, 3160, 1999, 1996, 4997, 1012, 3712, 5332, 16206, 20014, 1521, 1048, 1010, 4297, 1012, 1058, 1012, 2103, 1998, 2221, 1997, 16598, 1010, 25113, 1042, 1012, 7605, 7287, 2683, 1006, 6280, 25022, 2099, 1012, 2526, 1007, 1012, 2498, 3591, 1999, 2023, 5574, 13984, 2015, 2149, 2008, 2057, 2323, 18280, 2013, 2008, 20056, 1012, 2004, 2000, 1996, 6543, 3160, 1010, 2057, 2907, 2008, 1996, 16692, 5235, 6543, 20327, 1012, 1996, 16692, 2003, 1037, 9608, 1998, 21386, 8699, 16840, 2006, 4613, 1999, 1037, 2512, 14289, 16558, 2594, 7057, 1010, 1998, 1996, 9484, 28379, 10890, 2011, 1996, 16692, 2003, 4445, 1037, 7145, 2590, 2433, 1997, 4807, 4496, 4613, 2008, 2038, 4310, 12151, 12332, 2005, 2029, 2045, 2003, 2053, 6742, 7681, 1012, 2057, 21358, 27972, 1996, 2212, 2457, 1521, 1055, 3946, 1997, 12654, 8689, 1999, 5684, 1997, 16598, 1012, 1996, 2212, 2457, 7919, 4379, 16598, 1521, 1055, 4367, 2005, 12654, 8689, 1012, 2976, 2375, 2515, 2025, 3653, 6633, 13876, 1996, 16692, 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, 4879, 1997, 2911, 2640, 24443, 2000, 4895, 11020, 3036, 2837, 1021, 1013, 1020, 1013, 20637, 2475, 6866, 2011, 1024, 14412, 17190, 2078, 12521, 2509, 1026, 10373, 1030, 2742, 1012, 4012, 1028, 3058, 1024, 2459, 2089, 2249, 1010, 1015, 1024, 2184, 2572, 2257, 1020, 1010, 20637, 2475, 2000, 1024, 4895, 11020, 3036, 2837, 1010, 3472, 4170, 5902, 2909, 25170, 5897, 7415, 1010, 3011, 2013, 1024, 4327, 2520, 2566, 20921, 2708, 1997, 5747, 11514, 12576, 1011, 11338, 10559, 2015, 13858, 1010, 7733, 3395, 1024, 15690, 3430, 1004, 8608, 20246, 2000, 4895, 11020, 2686, 3136, 2007, 1996, 2739, 1997, 1996, 2991, 1997, 3362, 1996, 4879, 1997, 2911, 2640, 2038, 2272, 2039, 2007, 2195, 9942, 16911, 4493, 4475, 1998, 9859, 2008, 11504, 1010, 2089, 2130, 1996, 5976, 2114, 1996, 16077, 1012, 1999, 1996, 2645, 1997, 3362, 1010, 2066, 2216, 2077, 2009, 1010, 16077, 2686, 19113, 4928, 2000, 2022, 1996, 13079, 5387, 1012, 2320, 8753, 2003, 7119, 1996, 16077, 1005, 1055, 3754, 2000, 3221, 11358, 2012, 2097, 3653, 20464, 22087, 2151, 9248, 2180, 2011, 4895, 11020, 2598, 2749, 1012, 2138, 1997, 2023, 4507, 1996, 3484, 1997, 4895, 11020, 4073, 2323, 2022, 4208, 2006, 11973, 1996, 16077, 2460, 1997, 1996, 2598, 1012, 2065, 1996, 2152, 2598, 1997, 2686, 2003, 2439, 1010, 2035, 2003, 2439, 1012, 1996, 2645, 1997, 13201, 13323, 20849, 4921, 2006, 2251, 5550, 1997, 2023, 2095, 1010, 4919, 1996, 2224, 1997, 4517, 16692, 2011, 2952, 3145, 2229, 1998, 12353, 1997, 1996, 4517, 3067, 2492, 7333, 2012, 3362, 4415, 2265, 2059, 2342, 2005, 2019, 3445, 2224, 1997, 2107, 4255, 1012, 1996, 3377, 1997, 1996, 4895, 11020, 23015, 2114, 2048, 16077, 22833, 2397, 1999, 1996, 2645, 13538, 2006, 1996, 2224, 1997, 1037, 12535, 1011, 2465, 4517, 7421, 2000, 4487, 19150, 2119, 2911, 1005, 1055, 11824, 4352, 2005, 4680, 4255, 2000, 2855, 6033, 2068, 1012, 2783, 8998, 2038, 4895, 11020, 22833, 1998, 13242, 4273, 2007, 2069, 2093, 12535, 10815, 2023, 2193, 2323, 2022, 3445, 21040, 1012, 4895, 11020, 3078, 3424, 1011, 2911, 11024, 7421, 2024, 4321, 20694, 2114, 16077, 3007, 3719, 1010, 2926, 2216, 2007, 10109, 11824, 1012, 6534, 2075, 12535, 10815, 2046, 16183, 19862, 1997, 11024, 10815, 2052, 11504, 3499, 1037, 9210, 1997, 2122, 4255, 2000, 12170, 1011, 3413, 1996, 16077, 8187, 23965, 2391, 13345, 1012, 1037, 4895, 11020, 15437, 1010, 2256, 2087, 3365, 3007, 2465, 2911, 1010, 2478, 2431, 2049, 7421, 4518, 22090, 2071, 4888, 1037, 16183, 6767, 1997, 5174, 11024, 10815, 1998, 1017, 2000, 1019, 12535, 7421, 2114, 1037, 16077, 20116, 2015, 1011, 2645, 10844, 1012, 2023, 16183, 6767, 2241, 2006, 3025, 2645, 6747, 1010, 2052, 1010, 2007, 1037, 6365, 1003, 9723, 1010, 16021, 5397, 1015, 2000, 1016, 12535, 10815, 4285, 1996, 4539, 1012, 2918, 2006, 2006, 2072, 21796, 2023, 2247, 2007, 1996, 3582, 2039, 2224, 1997, 7511, 4255, 2052, 2031, 2753, 1003, 2000, 3438, 1003, 3382, 1997, 13675, 11514, 14353, 1010, 2056, 20116, 2015, 1011, 2645, 10844, 1998, 1037, 2184, 1003, 2000, 2539, 1003, 1997, 12329, 2049, 6215, 1012, 1999, 1037, 4800, 1011, 2911, 8147, 2107, 9887, 2071, 3499, 21943, 4895, 11020, 2749, 2000, 3653, 3567, 4014, 1012, 3151, 9887, 2031, 2069, 7119, 3377, 2043, 4895, 11020, 2749, 2018, 1037, 1018, 2000, 1015, 5056, 2030, 3618, 1010, 2107, 2004, 2012, 8418, 9573, 2483, 1037, 1004, 18087, 6374, 1011, 9500, 1012, 1999, 2146, 2846, 20583, 2073, 1996, 2597, 1997, 16077, 6470, 2064, 2022, 5399, 10173, 1037, 8386, 1997, 1996, 3145, 2229, 7077, 2064, 2022, 4692, 1012, 12535, 10815, 2071, 2022, 4888, 2302, 2478, 27120, 9297, 1998, 2275, 2006, 1037, 19630, 2607, 2875, 1996, 4539, 1012, 2007, 2041, 1996, 3194, 8085, 2122, 4255, 2071, 22150, 6588, 21096, 2046, 2846, 1997, 1996, 4539, 1998, 2089, 2022, 6439, 1999, 1996, 3684, 1997, 2645, 1012, 2174, 9345, 12742, 23802, 1010, 2130, 4895, 18447, 21945, 2052, 17552, 2023, 5656, 20694, 1012, 16077, 12123, 18544, 2007, 7590, 1010, 2005, 1999, 1011, 3462, 2607, 20983, 1998, 2522, 18933, 12742, 2645, 4053, 2064, 6033, 2030, 3426, 3278, 4053, 2000, 2087, 4895, 11020, 2911, 2007, 1037, 2309, 2718, 1012, 4675, 5761, 2060, 2059, 7367, 6299, 2607, 20983, 2024, 2734, 2000, 4675, 2122, 4255, 1012, 5902, 9761, 15628, 2224, 1997, 1996, 7192, 1011, 27070, 3436, 2276, 4895, 11020, 18293, 2012, 13201, 13323, 20849, 4921, 2000, 3104, 2010, 4170, 2007, 2001, 5399, 3112, 1012, 2023, 5656, 2001, 2036, 4233, 2011, 5902, 2489, 9629, 2000, 6985, 3362, 1012, 2174, 1996, 2224, 1997, 4684, 7192, 1011, 27070, 3436, 3703, 2323, 2022, 7021, 2004, 1037, 2644, 3654, 2361, 5468, 1998, 1037, 2512, 1011, 9084, 5724, 2069, 4233, 1999, 15561, 1012, 5747, 11514, 2003, 1997, 1996, 6772, 2008, 4517, 4255, 2071, 2022, 2109, 2000, 23217, 1996, 17225, 2492, 1997, 12123, 18544, 1012, 2023, 4078, 2696, 14454, 3989, 1997, 1996, 9862, 2052, 17552, 19741, 2049, 1005, 12123, 18093, 1012, 2009, 2003, 1037, 3722, 2755, 2008, 4517, 4255, 2442, 2022, 28110, 2007, 7224, 2000, 3965, 1037, 7861, 2361, 5213, 4400, 2174, 1996, 8249, 1013, 8479, 3466, 2323, 2022, 7182, 2007, 1037, 2184, 11382, 10994, 2239, 5195, 2000, 23217, 12123, 18544, 2306, 1022, 2000, 2260, 7338, 1012, 2096, 4517, 4255, 2024, 1999, 2460, 4425, 3080, 5820, 7384, 21713, 6935, 2465, 2162, 13038, 2071, 2022, 4508, 2046, 2326, 2005, 2023, 3800, 1012, 1996, 20461, 1997, 2130, 2028, 12123, 9862, 16183, 6767, 2071, 2022, 13079, 1999, 2925, 7465, 1012, 1999, 1996, 2645, 1997, 3362, 11385, 2013, 1996, 7192, 1011, 27070, 3436, 3703, 3426, 1996, 16077, 4170, 2000, 16360, 19234, 2993, 2000, 2507, 2009, 1037, 3154, 7493, 5576, 1012, 8554, 20807, 1037, 2609, 2007, 11385, 1999, 7547, 2005, 1037, 2645, 2052, 2022, 23469, 14547, 2051, 15077, 1010, 1998, 11809, 2065, 1996, 8147, 2106, 2025, 4503, 1012, 2174, 3719, 2071, 4287, 11385, 1011, 21296, 2075, 23730, 2007, 2068, 1012, 3225, 1999, 1996, 2117, 2431, 1997, 1996, 7398, 2301, 23689, 6590, 5134, 2211, 21296, 2075, 22643, 8177, 2000, 4154, 3935, 4255, 1012, 23431, 1011, 1037, 2645, 5127, 2071, 2022, 22307, 8873, 16190, 2007, 11355, 5571, 2000, 6271, 2185, 2013, 1996, 6738, 1010, 5716, 1037, 20064, 6112, 1997, 3384, 1012, 2023, 6112, 2071, 3426, 1996, 21371, 2713, 1997, 1037, 9862, 1005, 1055, 12123, 1010, 2460, 1997, 1996, 4539, 1010, 2066, 3041, 22643, 8177, 1012, 1996, 8177, 2174, 2052, 2022, 2204, 2005, 2028, 2224, 2077, 2009, 2052, 2342, 2000, 2022, 2999, 1012, 2114, 12123, 23965, 2023, 8177, 2052, 2022, 20694, 1012, 2174, 2122, 4009, 10457, 5747, 11514, 5683, 2024, 27018, 2043, 4102, 2007, 1996, 3445, 2504, 1997, 3860, 3253, 1012, 2025, 2296, 4960, 1997, 4493, 8177, 3791, 2000, 2022, 22307, 8873, 16190, 1025, 2612, 10053, 2006, 18628, 2071, 2022, 7130, 3031, 1996, 4493, 8177, 1997, 1996, 2911, 1012, 1997, 3905, 5197, 2000, 2911, 6277, 3639, 2003, 2391, 3639, 22711, 1010, 3952, 3832, 2000, 6033, 16077, 2235, 7477, 1012, 2747, 3719, 4057, 14216, 2753, 15977, 7861, 24759, 10732, 8163, 2024, 5171, 1012, 2009, 2003, 1996, 6772, 1997, 5747, 11514, 2008, 2391, 3639, 8122, 2071, 2022, 21040, 3445, 2065, 1996, 1049, 2575, 2620, 2004, 6038, 2818, 4948, 3560, 7399, 15946, 5013, 2030, 1049, 2575, 23088, 2884, 1013, 14891, 9463, 2319, 27400, 5883, 2020, 2109, 2000, 5672, 1996, 2753, 15977, 2015, 1999, 1996, 5600, 2535, 1012, 2119, 4255, 3001, 2031, 12381, 2062, 2543, 11452, 1010, 2846, 1998, 10640, 2059, 1996, 2783, 2391, 3639, 2291, 1012, 2825, 12482, 8621, 2421, 1996, 3445, 2373, 7670, 1010, 2174, 1999, 1996, 2783, 2433, 2119, 3001, 2224, 2235, 16937, 1010, 2162, 2705, 8649, 4057, 1010, 2030, 2158, 2946, 1010, 2008, 2071, 4089, 2022, 5100, 2046, 2087, 3719, 2373, 8370, 2015, 1012, 3362, 13943, 3639, 7248, 17303, 3278, 4053, 2006, 1996, 16077, 4170, 1010, 1998, 3322, 2073, 2583, 2000, 8526, 1996, 3484, 1997, 16077, 3007, 3719, 2007, 6020, 2543, 11452, 2013, 3458, 2037, 2219, 4621, 2846, 1012, 2122, 2015, 5294, 16021, 28345, 10708, 2024, 1996, 22271, 2006, 2029, 4895, 11020, 17700, 13345, 2024, 2328, 1012, 2174, 2320, 1996, 16077, 2701, 2846, 1010, 12123, 18544, 2020, 2583, 2000, 4223, 1996, 6728, 5104, 1012, 22643, 18628, 2043, 2764, 2323, 2022, 7130, 2000, 1996, 6728, 2094, 1010, 4298, 11721, 1011, 1056, 2140, 2487, 2146, 4690, 6055, 2007, 4517, 4255, 2000, 28736, 14932, 2543, 1998, 1037, 4317, 7406, 1997, 26795, 4517, 7134, 2105, 7070, 11358, 1012, 16077, 2031, 3491, 1999, 2627, 20583, 1010, 2228, 8133, 1023, 1010, 1037, 9461, 2791, 2000, 2604, 2256, 4895, 11020, 13943, 7248, 1012, 2000, 6985, 2114, 2023, 2825, 6728, 6169, 2323, 2022, 22307, 8873, 16190, 2007, 2037, 2219, 2391, 1011, 3639, 8370, 2066, 8133, 1023, 1012, 2065, 4072, 2911, 2604, 2753, 15977, 2015, 2071, 2022, 16360, 3126, 19155, 2005, 2224, 2006, 1051, 18927, 1012, 2036, 4337, 2250, 14703, 1997, 2146, 10689, 2030, 1061, 4757, 1011, 6694, 22002, 2323, 2022, 13487, 2007, 11973, 2512, 3007, 2911, 7889, 8701, 6728, 2278, 1012, 2241, 2006, 1996, 22002, 2836, 1999, 3169, 3356, 12690, 5747, 11514, 5683, 1996, 4959, 2003, 3201, 2005, 3742, 2537, 1998, 2323, 5672, 1996, 2146, 4690, 2004, 1996, 4895, 11020, 3078, 2512, 1011, 12483, 4959, 1012, 1999, 1996, 2203, 3362, 1005, 1055, 1051, 18927, 2015, 2020, 4487, 19150, 2043, 2037, 2598, 2217, 2373, 3703, 2020, 24672, 2011, 16077, 2598, 2749, 1012, 4895, 11020, 2390, 2030, 3884, 3197, 2323, 2022, 4137, 2000, 2566, 4168, 3686, 5600, 4751, 2006, 2035, 2107, 16937, 1998, 4964, 13345, 2323, 2022, 3833, 1012, 2096, 1051, 18927, 2020, 3322, 3833, 2000, 4154, 1037, 2529, 7116, 1010, 1998, 2328, 1999, 2686, 2349, 2000, 1996, 4359, 2810, 3465, 1006, 4359, 11520, 4128, 1010, 8332, 6753, 1007, 1010, 3445, 2492, 1997, 2543, 1010, 1998, 3246, 1997, 8161, 24172, 4053, 2011, 2025, 26785, 7971, 16518, 13943, 10400, 1997, 1996, 4774, 2000, 4487, 19150, 2068, 1010, 2598, 2217, 1051, 18927, 2556, 3056, 12637, 1012, 2598, 2217, 8060, 23468, 17138, 2071, 2022, 1000, 10612, 1000, 2007, 5190, 1997, 6197, 1997, 2600, 1010, 2007, 2037, 2373, 16937, 1998, 5023, 2127, 2027, 2441, 2543, 1012, 1996, 2350, 12482, 5178, 2052, 2022, 2037, 2825, 7493, 7300, 2052, 2022, 6551, 4359, 2247, 2007, 1037, 3278, 3623, 1999, 2311, 3465, 1010, 2349, 2000, 2037, 2810, 2306, 1037, 17700, 8992, 2092, 1012, 1037, 2644, 6578, 5576, 2008, 2052, 5547, 2810, 3465, 2052, 2022, 2311, 6097, 2015, 1999, 3760, 8992, 7051, 2107, 2004, 23377, 1012, 2478, 3011, 1005, 1055, 12909, 2004, 2019, 2742, 1037, 9799, 2946, 6097, 5806, 7118, 2012, 2753, 1003, 1996, 3177, 1997, 2422, 2052, 3362, 3011, 1999, 1016, 1012, 6390, 3823, 1998, 2019, 1051, 18927, 8854, 5806, 7118, 2012, 3438, 1003, 1996, 3177, 1997, 2422, 2052, 3104, 1996, 3292, 1999, 1016, 1012, 2423, 3823, 1012, 2119, 2335, 2682, 2024, 10174, 2013, 1996, 12909, 1005, 1055, 2521, 20515, 3292, 2013, 3011, 1010, 27433, 1010, 6352, 22287, 1999, 2049, 8753, 1010, 2012, 2049, 7541, 8753, 1010, 27509, 1010, 4278, 22287, 1996, 2051, 2052, 2022, 4359, 2000, 1016, 1012, 4261, 2030, 1015, 1012, 5818, 4414, 1012, 1996, 5056, 2000, 1037, 4231, 10813, 1997, 6097, 2015, 2052, 2022, 1010, 2012, 26693, 1999, 12909, 1005, 1055, 2553, 1010, 1037, 19342, 3014, 3102, 4224, 2105, 3011, 2320, 1037, 2154, 1012, 16077, 2749, 2071, 7713, 2369, 1996, 4500, 2217, 1997, 3011, 2013, 12909, 1010, 2174, 2027, 2071, 2025, 5441, 20248, 6508, 12680, 4948, 3560, 8753, 2065, 2027, 2106, 2061, 1012, 2174, 7493, 7300, 2052, 2431, 2000, 2022, 5362, 10174, 2000, 4468, 7294, 1996, 4774, 2107, 16021, 28345, 10708, 2024, 6984, 1012, 1037, 5174, 1011, 10228, 6097, 5806, 7118, 2012, 3438, 1003, 1996, 3177, 1997, 2422, 2052, 3426, 23546, 4053, 2065, 2009, 2718, 1037, 4774, 1012, 2000, 7680, 7849, 3111, 5747, 11514, 2350, 15690, 3623, 1999, 1996, 2224, 1998, 2537, 1997, 4895, 11020, 4517, 4255, 1012, 1037, 5823, 2458, 1997, 22643, 8177, 2039, 16616, 4895, 11020, 2391, 13345, 2440, 4094, 10813, 1997, 1061, 4757, 1011, 6694, 22002, 7299, 2810, 1997, 1051, 18927, 8060, 23468, 17138, 2306, 17700, 8992, 7051, 1012, 2057, 2012, 5747, 11514, 2514, 2035, 1997, 2122, 3934, 2064, 2022, 7528, 1010, 3202, 2030, 2306, 1016, 2000, 1017, 2706, 2302, 6151, 5657, 6911, 2006, 2256, 2783, 2537, 6134, 1012, 1996, 2311, 1997, 2312, 6097, 2306, 8992, 7051, 2097, 2022, 1996, 2922, 1997, 2122, 18457, 2015, 1025, 2174, 5747, 11514, 2003, 20324, 2069, 1037, 3132, 2193, 2342, 2022, 3833, 2000, 2022, 4621, 1012, 1999, 1996, 2553, 1997, 3011, 1005, 1055, 12909, 2090, 1020, 1998, 2184, 1012, 2004, 2005, 1996, 3623, 1999, 1996, 4517, 4255, 1041, 15549, 14853, 2296, 2911, 1999, 1996, 4170, 2007, 2019, 9433, 1997, 2090, 2184, 2000, 2484, 2323, 2202, 2104, 1037, 2095, 1010, 2065, 1996, 5372, 4219, 2024, 4056, 2000, 1996, 2622, 1012, 2292, 2149, 3342, 2008, 2077, 4286, 16844, 3550, 2686, 2090, 1996, 3386, 1998, 3106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12241, 3468, 14275, 1999, 1037, 17632, 1997, 8703, 2369, 1996, 15653, 6238, 1012, 2014, 4540, 2379, 1037, 4920, 1999, 1996, 6773, 1011, 9090, 5669, 2813, 1997, 2524, 6090, 1005, 1055, 2179, 4874, 3612, 9610, 4168, 2688, 1998, 10367, 2415, 1010, 2016, 7791, 2004, 2460, 14450, 2409, 1996, 2466, 1997, 2129, 2002, 2718, 2600, 3953, 1012, 2129, 2002, 8046, 5948, 1998, 2179, 2010, 3020, 2373, 1012, 2460, 14450, 1005, 1055, 2466, 1010, 1997, 2035, 1996, 2600, 1011, 3953, 3441, 5341, 2018, 2657, 2012, 4376, 1011, 3357, 10812, 6295, 1011, 1011, 14813, 2015, 1010, 18503, 2869, 1010, 5610, 2869, 1010, 1998, 2058, 5243, 7747, 1011, 1011, 2001, 2145, 2014, 5440, 1012, 14450, 2409, 1997, 1996, 2154, 2043, 2002, 2018, 7144, 2431, 1037, 25234, 1997, 19379, 5962, 2000, 5206, 5356, 2035, 2851, 1999, 2010, 9083, 1005, 5786, 20425, 1010, 2059, 5357, 2041, 1997, 1996, 2482, 2043, 2002, 2387, 1037, 23114, 2015, 2532, 3489, 2006, 1996, 4628, 2835, 12344, 2010, 3899, 1010, 6060, 1010, 2006, 1996, 8040, 21709, 2819, 1012, 5341, 12042, 2841, 2007, 1037, 2192, 2682, 1996, 2210, 4920, 2008, 2460, 14450, 1005, 1055, 2376, 2001, 2746, 2041, 1997, 1012, 2007, 2014, 2060, 2192, 1010, 2016, 4196, 1996, 2126, 1011, 2205, 1011, 17546, 2606, 2125, 2014, 3300, 1012, 2016, 4384, 2048, 2235, 2304, 5055, 3518, 1010, 15601, 2066, 6077, 2013, 1996, 3684, 1010, 2037, 23525, 2015, 2330, 1010, 2037, 12261, 23893, 2098, 2039, 1012, 2016, 2404, 2014, 4540, 2000, 1996, 4920, 2138, 14450, 1005, 1055, 2376, 2467, 2288, 2659, 1998, 3730, 2043, 2002, 2234, 2000, 1996, 13800, 2389, 2203, 1997, 1996, 2466, 1012, 2021, 2460, 14450, 2134, 1005, 1056, 2132, 2157, 2000, 1996, 2204, 2112, 1012, 2000, 7683, 2009, 2041, 1998, 2131, 2062, 23873, 2183, 2005, 1996, 2502, 4566, 1010, 2002, 2310, 6850, 2125, 1998, 2409, 2055, 1996, 2214, 2420, 2043, 2002, 2001, 3631, 1998, 2481, 1005, 1056, 8984, 2000, 4965, 19379, 1010, 2061, 2002, 2081, 25628, 13207, 2013, 20943, 3482, 15547, 11493, 2015, 1998, 2151, 2785, 1997, 5909, 2002, 2071, 8040, 22494, 15465, 2039, 1012, 2023, 2001, 1996, 5156, 22831, 2126, 2002, 5720, 1010, 1998, 5341, 2018, 4384, 2008, 2009, 2081, 2111, 2994, 4699, 1010, 2130, 2065, 1996, 2466, 2288, 3243, 1037, 2978, 2936, 2084, 2065, 2619, 2842, 2018, 2042, 4129, 2009, 1012, 2016, 2768, 2039, 1010, 2014, 3300, 1998, 1996, 10457, 1997, 2014, 5042, 18972, 1010, 1998, 16137, 9072, 11333, 5104, 1997, 2606, 2039, 2104, 1996, 7926, 1997, 2014, 28491, 6045, 1012, 2016, 5362, 18756, 2019, 2214, 10168, 3242, 2007, 25975, 2098, 10923, 2075, 2046, 2014, 17632, 1997, 8703, 1010, 1998, 2081, 2469, 1996, 3242, 2876, 1005, 1056, 3338, 2011, 24070, 2841, 3031, 2009, 1012, 10029, 2234, 1010, 1996, 2210, 12344, 3924, 1025, 2016, 5470, 7228, 2068, 2185, 2007, 2014, 6081, 6497, 9739, 1012, 3684, 18461, 2125, 1996, 15653, 6238, 1012, 2045, 2001, 1037, 2210, 4223, 1010, 3272, 2005, 1996, 24185, 24200, 28561, 5005, 1997, 1996, 5894, 5470, 2503, 1998, 2111, 9564, 1999, 2037, 12745, 3384, 8397, 1012, 2016, 2001, 3492, 2469, 2027, 2018, 2525, 2657, 1996, 2466, 1997, 2460, 14450, 7294, 2600, 3953, 2077, 1010, 2004, 2016, 2018, 1010, 1998, 2008, 2027, 3866, 1996, 5760, 8294, 1998, 11867, 7770, 4305, 7512, 3560, 2791, 1997, 2009, 2004, 2172, 2004, 2016, 2106, 1011, 1011, 2130, 2295, 2009, 2001, 2524, 2000, 5674, 2460, 14450, 2108, 7144, 1012, 2460, 14450, 1005, 1055, 2376, 5015, 2066, 2009, 2071, 4510, 3233, 2000, 2360, 2054, 2234, 2279, 1012, 1000, 2008, 6060, 1010, 2158, 1010, 1000, 2056, 14450, 1010, 2040, 2170, 3071, 1000, 2158, 1010, 1000, 2130, 2111, 2066, 5341, 2040, 2020, 2025, 2273, 1012, 1000, 2002, 2001, 2028, 9191, 3899, 1012, 2002, 2730, 2008, 7488, 2130, 2295, 2009, 2978, 2032, 1999, 1996, 2173, 2073, 2009, 13403, 1996, 5409, 2005, 1037, 3287, 1012, 1998, 2045, 1045, 2572, 1010, 2667, 2000, 2131, 2185, 1010, 4634, 2041, 1997, 1996, 28353, 1012, 1045, 3338, 1037, 11868, 1010, 1045, 3013, 2026, 5048, 1010, 1045, 2507, 2870, 1037, 2304, 3239, 1010, 1045, 2130, 11867, 21166, 2026, 10792, 1010, 2021, 1045, 1005, 1049, 2061, 7144, 1010, 2158, 1010, 1045, 2123, 1005, 1056, 2130, 2113, 1045, 1005, 1049, 18358, 2039, 1011, 1011, 2025, 6229, 2172, 2101, 1012, 2059, 1045, 3413, 2041, 1012, 1000, 2279, 2154, 1045, 5256, 2039, 2006, 1996, 2598, 1010, 5472, 1999, 2026, 2677, 1010, 1998, 2009, 5683, 2066, 2331, 1012, 1045, 2812, 1010, 2009, 1005, 1055, 2066, 1045, 2351, 1010, 2158, 1010, 2021, 2012, 1996, 2168, 2051, 1010, 2066, 1045, 1005, 1049, 2205, 5305, 1998, 14984, 2000, 2022, 2757, 1012, 2045, 1005, 1055, 1037, 2158, 11533, 23114, 2015, 2532, 3489, 2104, 1996, 2482, 1010, 2045, 1005, 1055, 2668, 1010, 7167, 1997, 2668, 1011, 1011, 1045, 2123, 1005, 1056, 2130, 2113, 2065, 2009, 1005, 1055, 2026, 2668, 2030, 6060, 1005, 1055, 2030, 1996, 7488, 1005, 1055, 1012, 6060, 1005, 1055, 2908, 1012, 1045, 2655, 2032, 1011, 1011, 2498, 1012, 1045, 3275, 2672, 2044, 7494, 2026, 5236, 2166, 2002, 2253, 2125, 2000, 3280, 2894, 4873, 1012, 2009, 1005, 1055, 2763, 2066, 1037, 3634, 5445, 1999, 1996, 8703, 1010, 2158, 1010, 2055, 2004, 2980, 2004, 2009, 2003, 2085, 1010, 2021, 1045, 1005, 1049, 2061, 3147, 1045, 2064, 1005, 1056, 2644, 19197, 1012, 1000, 5341, 1005, 1055, 2398, 9557, 12392, 1010, 2066, 1996, 4857, 2608, 1997, 1996, 10168, 3242, 1025, 2027, 2371, 15875, 1012, 2016, 3724, 2014, 6045, 2067, 2013, 2014, 6130, 1025, 2250, 12981, 1996, 7518, 2045, 1012, 1000, 1045, 2191, 2023, 3066, 2007, 2870, 1010, 1000, 14450, 2506, 1012, 1000, 1996, 3066, 2003, 2065, 6060, 2003, 3100, 1045, 1005, 2222, 8046, 5948, 1010, 3693, 9779, 1010, 2131, 4550, 1012, 1000, 5341, 13011, 2014, 6436, 4190, 2185, 2013, 1037, 5931, 1010, 21603, 11226, 1997, 3242, 10923, 2075, 1012, 2169, 2051, 2460, 14450, 2234, 2000, 2023, 2112, 1999, 2010, 2466, 1010, 5341, 2245, 1997, 2054, 2785, 1997, 3066, 2016, 2052, 2191, 2007, 2841, 2065, 2016, 2718, 2600, 3953, 1012, 2066, 1010, 2292, 1005, 1055, 2360, 2016, 2134, 1005, 1056, 2113, 2065, 2014, 3899, 1010, 7220, 26892, 9354, 1010, 2001, 4142, 2030, 2757, 1025, 2016, 2052, 2031, 2000, 2079, 2242, 2428, 2524, 1998, 23956, 2004, 2014, 2203, 1997, 1996, 17113, 1012, 2030, 1010, 2292, 1005, 1055, 2360, 2008, 2014, 6697, 2074, 2435, 2039, 1998, 8046, 2138, 5341, 2106, 2242, 6659, 1012, 1996, 4489, 2090, 1037, 6697, 1998, 2019, 5025, 3566, 2003, 2008, 1037, 3566, 2064, 1005, 1056, 12897, 1012, 1037, 3566, 2038, 1996, 3105, 2005, 2166, 1012, 2021, 1037, 6697, 2066, 16908, 27100, 2071, 2763, 2074, 2360, 1010, 1000, 2092, 1010, 2008, 1005, 1055, 2055, 2009, 2005, 2023, 3105, 1012, 1045, 1005, 1049, 2183, 2067, 2000, 2605, 2085, 1012, 8740, 7065, 21165, 1012, 1000, 2045, 3532, 5341, 2052, 2022, 1010, 3061, 2894, 1999, 1996, 3829, 9117, 1010, 2012, 2600, 3953, 1012, 2059, 2016, 2052, 2031, 2000, 3945, 2005, 2014, 2219, 3020, 2373, 1998, 2079, 1037, 22518, 1998, 6575, 7191, 12612, 1997, 2841, 1010, 2074, 2066, 2460, 14450, 1998, 2035, 1996, 2060, 10812, 2111, 2018, 2018, 2000, 2079, 1012, 2460, 14450, 2253, 2006, 1010, 1000, 2059, 2026, 2564, 9297, 2039, 1012, 2158, 1010, 1045, 2134, 1005, 1056, 2130, 2113, 2016, 1005, 1040, 2908, 1012, 1045, 1005, 1049, 2145, 2785, 1997, 10201, 2045, 2006, 1996, 2598, 1012, 2016, 4152, 2041, 1997, 2014, 2482, 1010, 2021, 2016, 2987, 1005, 1056, 2360, 2028, 2773, 2055, 2129, 18358, 2039, 1045, 2572, 1012, 1000, 2035, 2016, 2758, 2003, 1010, 1005, 1045, 2165, 6060, 2000, 1996, 29525, 1005, 1055, 1999, 7838, 2103, 1012, 1005, 2016, 1005, 1055, 3331, 2613, 5475, 1010, 2471, 2066, 2016, 1005, 1055, 2025, 5506, 2030, 2505, 1012, 2016, 2758, 1010, 1005, 5595, 2661, 2013, 2182, 1010, 1998, 1045, 5225, 2009, 1999, 1010, 2066, 1010, 2672, 2431, 2019, 3178, 1012, 2008, 2001, 1996, 5409, 3298, 1997, 2026, 2166, 1010, 14450, 1010, 4283, 2000, 2017, 1012, 2021, 6060, 1005, 1055, 3100, 2138, 1045, 2288, 2032, 2045, 1999, 2051, 2005, 1996, 3424, 8159, 5358, 2000, 2147, 1012, 1005, 1000, 2059, 2016, 3632, 2046, 1996, 2160, 1998, 3310, 2041, 2007, 2014, 15940, 2015, 2008, 2016, 2442, 2031, 8966, 1996, 2305, 2077, 1010, 1998, 6060, 1005, 1055, 2833, 9841, 1998, 2300, 4605, 1012, 2008, 2730, 2033, 1010, 2014, 2635, 2010, 2833, 9841, 1998, 2300, 4605, 1012, 2035, 2016, 2758, 2000, 2033, 2003, 1010, 1005, 2123, 1005, 1056, 2655, 2033, 1012, 1005, 2008, 1010, 2158, 1010, 2001, 2600, 3953, 1012, 2061, 1045, 4711, 2091, 1996, 24596, 1012, 1998, 2182, 1045, 2572, 1012, 1000, 2045, 2001, 27104, 1010, 1998, 5341, 2354, 2008, 3492, 2574, 2027, 2052, 3413, 1037, 6045, 2105, 2005, 2111, 2000, 2404, 2769, 1999, 1012, 2009, 2001, 1037, 2210, 15640, 2008, 2651, 6343, 2018, 4541, 2129, 3599, 2027, 2018, 2179, 2037, 3020, 2373, 1010, 2029, 2001, 2054, 5341, 2001, 3701, 4699, 1999, 4531, 2041, 2055, 1012, 2016, 2134, 1005, 1056, 2131, 2339, 4531, 2009, 2001, 2061, 2524, 1012, 1996, 10812, 2111, 2411, 5720, 2055, 2893, 2491, 1997, 2037, 3268, 2083, 2037, 3020, 2373, 1012, 2108, 2702, 1998, 1037, 2431, 1010, 5341, 2371, 2066, 2016, 2018, 2053, 2491, 2058, 2014, 2166, 1011, 1011, 6576, 2138, 2016, 2347, 1005, 1056, 4961, 2039, 2664, 1011, 1011, 2021, 2008, 2065, 2016, 2179, 2014, 3020, 2373, 2009, 2052, 5009, 2014, 1999, 1996, 2157, 3257, 1012, 8397, 20378, 2004, 3071, 2768, 2039, 1012, 2085, 2027, 2052, 2035, 2360, 1037, 2210, 7083, 2362, 1010, 2029, 5341, 4669, 2138, 2045, 2001, 2053, 2277, 2030, 13067, 2030, 2505, 1999, 2524, 6090, 1010, 2662, 1010, 2061, 1996, 2179, 4874, 3612, 9610, 4168, 2688, 1998, 10367, 2415, 2001, 1996, 7541, 2027, 2288, 2000, 2028, 1012, 2008, 3214, 1996, 2203, 1997, 1996, 3116, 1998, 2051, 2005, 2014, 2000, 10436, 4248, 1012, 2016, 1005, 1040, 2736, 2014, 3105, 1997, 8430, 11669, 2013, 1996, 19404, 1999, 2392, 1011, 1011, 14368, 5404, 18484, 1998, 9485, 10236, 7347, 2013, 7483, 1005, 1055, 18503, 2869, 10812, 3116, 1012, 2009, 2347, 1005, 1056, 3497, 2008, 3087, 2052, 2022, 2746, 2067, 2000, 1996, 15653, 6238, 2369, 1996, 2688, 1010, 2021, 2619, 2453, 1012, 2016, 2018, 2000, 9241, 1010, 2021, 2016, 2018, 2000, 9241, 3254, 1010, 1999, 2344, 2025, 2000, 2191, 1037, 2614, 1012, 2016, 2358, 11823, 2098, 2014, 6497, 9739, 1998, 26008, 3875, 1996, 2813, 1998, 2187, 1996, 13061, 10168, 3242, 5023, 2369, 1996, 15653, 6238, 1012, 4826, 1010, 5095, 1010, 2052, 2022, 2014, 2154, 2125, 1012, 2059, 2006, 4465, 5027, 1010, 2077, 1996, 5610, 2869, 10812, 3116, 1010, 2016, 2052, 2153, 4550, 2039, 1996, 2688, 1005, 1055, 2210, 19404, 1012, 1996, 19404, 2001, 2073, 1996, 10812, 2111, 2938, 2105, 3331, 2044, 2037, 6295, 1012, 2035, 1996, 10812, 2111, 2187, 7167, 1997, 19070, 1010, 1998, 2169, 2177, 2071, 2025, 4562, 2000, 2156, 1996, 10007, 2015, 2030, 1996, 18484, 2030, 1996, 9485, 10236, 7347, 1997, 1996, 2177, 2008, 2777, 2077, 2009, 1012, 1996, 3114, 2001, 2008, 2027, 2020, 1999, 7233, 1012, 1996, 13400, 14813, 2015, 6283, 2000, 2156, 2030, 5437, 5404, 18484, 2187, 2011, 1996, 13400, 5610, 2869, 1998, 18503, 2869, 1025, 1996, 13400, 5610, 2869, 2071, 2025, 3233, 9907, 10007, 2015, 2187, 2011, 1996, 13400, 4392, 2545, 1010, 1998, 1996, 13400, 2058, 5243, 7747, 6283, 2000, 2156, 9485, 10236, 7347, 2187, 2011, 1996, 13400, 4392, 2545, 1010, 5610, 2869, 1010, 1998, 18503, 2869, 1012, 2029, 3214, 2008, 5341, 2018, 1037, 3105, 1011, 1011, 1037, 2307, 3105, 1011, 1011, 1998, 3272, 2005, 11089, 1005, 1055, 3829, 1011, 1998, 1011, 2067, 1011, 7424, 8670, 12083, 4244, 1005, 1050, 1005, 5053, 11090, 1998, 1996, 2952, 1005, 1055, 5653, 1011, 22210, 3105, 2012, 1996, 2695, 2436, 1010, 2009, 2001, 1996, 2069, 7079, 3105, 1999, 2237, 1012, 4843, 2007, 1996, 19702, 1997, 2014, 7691, 8934, 13383, 1010, 2029, 2016, 2018, 2007, 2014, 2012, 2035, 2335, 1010, 2059, 28233, 2091, 1996, 4318, 5460, 8270, 2646, 2188, 1010, 5341, 2245, 1997, 1037, 3160, 2008, 2460, 14450, 1005, 1055, 2466, 2018, 20451, 2046, 2028, 1997, 2014, 4167, 13675, 17726, 2229, 1012, 2016, 6618, 2016, 2018, 2061, 2116, 13675, 17726, 2229, 1998, 23277, 28562, 1010, 2471, 2035, 1997, 2068, 3561, 2007, 3980, 1998, 11480, 4301, 1010, 2008, 2065, 2017, 2020, 2000, 2202, 2014, 4167, 1998, 4257, 6528, 2009, 2041, 1010, 2009, 2052, 3104, 1037, 4121, 2686, 1010, 2066, 2672, 1037, 2332, 1011, 2946, 2793, 1012, 1996, 3160, 1997, 2460, 14450, 1005, 1055, 3899, 1005, 1055, 8040, 21709, 2819, 3876, 2046, 2028, 3056, 4167, 13675, 17726, 2063, 2004, 2016, 3856, 2014, 2126, 2426, 1996, 17901, 2100, 14568, 1997, 1996, 4318, 9378, 1012, 2130, 2295, 5341, 2071, 3198, 2460, 14450, 2471, 2505, 1998, 2002, 2876, 1005, 1056, 2568, 1010, 2016, 2071 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2087, 3522, 2088, 3171, 3930, 5402, 1006, 2857, 1011, 2289, 1007, 1010, 4417, 2011, 2049, 3091, 1998, 4654, 21436, 6651, 1010, 2064, 2022, 2641, 2000, 2022, 1996, 2345, 2765, 1997, 1996, 2197, 4400, 1997, 3795, 6648, 2206, 1996, 2117, 2088, 2162, 1006, 16659, 5249, 10540, 1007, 1998, 2038, 2042, 1996, 16771, 1998, 4439, 2486, 2005, 1996, 2458, 1997, 2592, 1998, 4807, 6786, 2076, 1996, 2197, 2048, 5109, 1997, 1996, 3983, 2301, 1012, 2045, 2031, 2042, 3278, 3171, 3431, 1024, 1037, 6196, 3623, 1999, 2088, 3119, 1010, 1996, 3618, 2248, 2535, 2209, 2011, 1996, 18730, 1997, 2859, 1010, 2634, 1998, 4380, 1010, 1996, 2125, 1011, 26822, 4892, 1997, 1996, 2537, 1997, 5350, 1998, 2578, 1010, 2000, 2171, 2021, 1037, 2261, 1012, 2045, 2031, 2036, 2042, 2590, 21865, 1999, 1996, 10336, 1997, 16156, 1998, 2122, 2421, 1996, 2613, 1011, 2051, 6970, 8663, 2638, 7542, 1997, 2334, 3361, 6089, 1010, 2489, 4834, 1997, 3007, 2105, 1996, 2088, 1998, 1996, 2458, 1998, 2224, 1997, 3361, 3330, 5693, 1006, 1041, 1012, 1043, 1012, 7047, 1010, 17795, 1010, 16942, 1010, 10819, 9496, 3775, 9276, 2015, 1010, 14336, 3688, 1010, 17834, 5029, 1010, 4385, 1012, 1007, 1012, 2076, 2023, 2168, 2558, 1010, 1037, 2186, 1997, 10514, 18098, 5162, 3508, 2389, 4896, 2020, 2036, 2511, 1006, 2142, 3741, 5502, 1010, 2088, 2924, 1010, 2248, 12194, 4636, 1010, 2647, 2586, 1010, 2088, 3119, 5502, 1010, 4385, 1012, 1007, 1998, 2122, 2064, 2022, 2641, 2000, 2022, 1037, 3154, 2664, 2512, 1011, 13216, 9185, 1997, 1996, 2946, 1998, 3257, 1997, 1996, 3663, 2004, 1037, 2878, 1012, 2023, 2186, 1997, 21865, 2031, 2018, 2019, 14477, 6767, 8524, 3468, 4254, 2006, 3633, 1010, 2554, 1010, 3226, 1998, 2110, 4411, 1010, 2019, 4254, 2029, 2038, 1999, 2735, 2042, 5533, 1998, 8590, 2011, 1996, 3652, 2236, 5084, 18050, 1997, 2592, 1998, 4807, 6786, 1012, 1996, 10100, 2005, 1996, 2345, 2754, 1997, 2023, 3171, 3930, 5402, 2029, 2001, 9741, 1999, 1996, 2034, 5476, 1997, 2023, 2783, 2301, 1010, 2174, 1010, 2020, 2631, 2006, 4248, 8791, 2094, 1012, 11664, 6381, 3012, 1999, 1996, 2248, 3361, 2291, 14802, 2013, 2367, 4216, 4504, 1999, 1996, 2248, 8169, 2291, 13417, 2844, 4923, 4935, 1999, 1037, 4785, 1997, 2659, 3037, 6165, 1012, 3115, 8169, 2291, 11594, 2052, 2031, 3132, 2023, 4935, 2065, 1996, 3311, 1998, 12656, 2458, 1997, 2054, 2150, 2124, 2004, 1996, 5192, 8169, 2291, 2018, 2025, 2042, 25775, 1010, 1037, 4315, 13910, 8898, 2291, 2241, 2006, 3361, 8144, 3136, 2029, 9124, 4923, 3891, 3136, 2000, 2022, 3668, 2104, 1996, 3860, 1997, 10738, 18010, 1012, 2023, 3663, 1010, 1999, 9595, 2007, 2590, 3293, 1998, 5166, 5649, 15074, 2015, 1999, 3056, 3032, 1998, 4895, 26657, 2094, 3930, 1999, 2500, 1998, 2844, 3976, 3778, 1999, 1996, 2364, 6315, 4475, 6089, 1010, 2001, 2025, 9084, 2058, 2051, 1012, 2057, 2085, 2113, 2008, 2216, 5755, 2029, 2020, 2261, 1998, 8143, 2012, 1996, 2051, 1998, 2029, 5228, 5142, 2055, 1996, 18549, 1997, 1996, 2972, 3663, 2020, 2157, 1010, 1998, 2008, 2009, 2052, 2069, 2022, 1037, 3043, 1997, 2051, 2077, 2070, 25652, 2052, 2552, 2004, 1996, 12125, 1012, 1999, 1996, 2117, 2431, 1997, 2289, 1010, 2023, 25652, 4158, 1024, 1996, 2167, 2137, 4942, 18098, 14428, 14344, 5325, 1010, 2029, 2018, 2042, 9536, 2098, 2011, 1996, 18068, 2091, 1997, 3136, 1998, 1037, 28702, 1999, 1996, 3976, 1997, 2613, 1011, 3776, 7045, 1999, 1996, 2149, 2195, 2706, 25828, 1012, 2023, 2689, 1999, 3663, 3936, 1996, 21775, 1010, 20694, 2791, 1010, 1999, 12879, 8873, 23402, 14767, 1998, 4297, 5644, 27870, 14767, 1997, 1996, 2291, 2004, 1037, 2878, 1012, 2058, 1037, 2558, 1997, 2069, 1037, 3043, 1997, 2706, 1010, 2025, 2069, 2106, 2023, 2031, 14886, 3896, 2006, 1996, 2248, 3361, 2291, 2021, 2009, 2036, 2855, 5360, 3361, 6089, 1998, 2613, 18730, 1010, 1996, 3930, 6165, 1997, 2029, 12128, 9784, 2091, 2000, 4607, 2046, 2019, 2471, 6234, 19396, 1012, 2119, 26653, 12194, 4896, 1998, 1996, 6867, 1997, 2764, 3032, 2020, 5204, 1997, 1996, 27994, 1997, 1996, 3663, 1010, 1998, 2061, 2027, 13236, 10895, 1998, 5787, 10895, 4233, 5761, 1999, 2344, 2000, 4468, 1037, 2236, 5084, 7023, 5325, 1998, 7859, 1997, 1996, 2972, 2291, 1012, 2009, 2038, 2085, 2042, 2048, 2086, 2144, 1996, 5325, 2211, 1998, 1996, 5409, 2003, 10743, 2058, 1012, 2012, 2023, 2617, 1999, 2051, 1006, 2285, 2268, 1007, 1010, 3056, 2764, 3032, 2031, 2318, 2000, 2265, 7263, 5751, 1997, 3171, 7233, 1998, 1996, 3930, 1997, 8361, 18730, 3849, 2000, 2031, 2042, 2128, 1011, 2511, 1012, 2009, 2003, 5793, 1010, 2174, 1010, 2008, 1996, 3471, 2024, 2521, 2013, 2058, 1012, 1996, 8216, 8830, 2011, 6867, 2011, 2965, 1997, 5157, 1011, 2552, 17441, 6043, 1998, 2011, 12194, 4614, 2011, 2965, 1997, 6381, 3012, 13341, 2015, 2000, 1996, 3361, 2291, 1998, 4469, 8551, 3981, 11272, 2659, 3037, 6165, 2031, 2019, 4654, 8197, 2854, 3058, 2030, 1010, 2000, 2022, 2062, 10480, 1010, 1037, 20155, 5787, 2065, 2060, 4127, 1997, 3471, 2024, 2000, 2022, 9511, 1012, 11664, 4923, 4935, 2038, 4504, 1999, 2590, 13318, 11105, 2108, 21698, 1010, 3056, 15768, 1997, 7045, 2108, 11664, 1010, 1998, 2019, 12163, 2029, 2071, 2092, 2468, 8332, 2065, 2009, 3632, 2627, 1996, 2391, 1997, 2053, 2709, 1012, 1996, 27427, 15878, 3064, 2791, 1997, 3056, 3032, 2038, 2584, 20754, 29205, 3798, 1998, 2023, 2097, 1999, 2735, 2022, 15356, 2011, 2037, 4480, 1999, 1996, 5166, 2007, 1037, 4745, 26118, 1999, 2037, 3115, 1997, 2542, 1012, 2348, 1996, 4800, 28277, 1998, 4800, 1011, 12148, 8304, 1997, 1996, 5325, 2038, 2042, 3144, 1010, 3980, 2031, 13368, 2078, 2025, 2069, 2055, 1996, 3795, 3361, 2291, 2021, 2036, 2055, 1996, 2783, 3171, 2944, 1998, 1996, 3795, 10615, 2291, 1012, 2045, 2003, 2036, 2172, 5142, 2055, 1996, 3466, 2008, 2023, 2097, 2031, 2006, 8384, 2119, 1999, 3408, 1997, 4331, 1998, 3226, 2025, 2069, 2138, 1997, 1996, 4254, 1997, 1996, 5325, 2993, 2021, 2036, 3176, 3471, 3303, 2011, 1996, 27574, 1997, 2844, 14731, 1997, 20387, 2875, 2764, 3032, 2029, 4158, 2076, 1996, 2558, 1997, 2844, 3171, 3930, 1012, 1996, 11967, 1998, 2186, 1997, 6214, 2008, 2057, 2031, 2074, 2649, 2031, 2441, 1996, 5981, 2055, 1996, 6061, 1997, 5278, 1996, 3171, 1998, 2591, 2944, 1010, 2242, 2029, 2070, 5136, 2000, 2022, 6827, 1012, 2256, 6808, 2369, 1996, 2621, 18014, 1998, 1996, 4772, 1997, 2023, 2338, 2003, 2000, 3073, 2592, 1998, 16055, 2000, 2393, 2256, 8141, 8849, 1996, 5981, 1999, 3618, 5995, 1012, 1996, 3179, 7480, 2007, 1037, 2034, 3127, 4709, 1523, 3795, 15251, 1997, 1996, 5325, 1524, 1012, 1996, 6614, 1997, 1996, 2034, 3720, 2003, 2000, 3073, 1037, 2186, 1997, 2898, 1011, 7478, 5328, 1999, 2019, 3535, 2000, 8849, 1996, 5325, 3458, 1996, 7339, 1997, 1037, 3056, 4753, 2030, 10336, 1997, 4023, 1012, 1999, 2010, 3720, 4709, 1523, 2019, 4106, 1997, 1996, 3522, 2307, 19396, 1524, 1010, 5277, 9172, 5122, 14191, 16284, 2050, 7534, 1998, 15841, 1996, 2364, 5320, 1998, 6459, 1997, 1996, 2087, 3522, 9944, 15975, 19396, 1012, 2130, 2295, 1996, 17879, 1997, 19396, 1998, 7233, 3378, 2007, 3522, 19396, 2015, 2024, 5664, 1998, 3265, 1010, 3056, 17537, 12319, 2064, 2036, 2022, 11156, 1010, 2029, 2003, 2054, 3047, 2007, 1996, 9164, 1997, 1996, 26632, 23035, 9572, 2015, 1999, 1996, 9944, 15975, 2006, 2023, 2197, 6686, 1012, 1999, 1996, 3563, 2553, 2057, 2024, 4986, 2007, 1010, 1996, 2844, 21963, 1997, 2248, 3119, 1006, 1037, 5387, 2029, 9669, 16453, 1996, 27994, 1997, 3522, 2824, 1007, 2038, 2042, 1037, 3327, 3444, 1010, 2096, 1996, 3278, 9010, 1999, 2797, 8381, 1998, 5211, 2628, 1996, 12878, 4417, 1999, 3025, 25332, 1012, 1996, 3166, 6083, 2008, 2673, 3849, 2000, 5769, 2008, 1996, 9944, 15975, 3171, 7233, 2029, 2211, 1999, 1996, 2117, 2431, 1997, 2268, 2097, 3613, 1010, 2348, 2012, 1037, 12430, 3446, 1998, 2007, 1037, 3020, 2504, 1997, 12503, 2084, 2077, 1012, 1999, 1996, 2279, 3720, 1999, 1996, 3127, 4709, 1523, 1996, 3795, 10047, 26657, 2015, 2077, 1998, 2044, 1996, 2088, 5325, 1524, 1010, 2049, 3166, 6446, 3710, 2078, 6083, 2008, 1996, 24873, 9048, 16173, 3401, 1997, 2312, 2783, 4070, 15074, 2015, 1998, 15726, 2229, 1999, 1996, 2088, 4610, 2038, 7013, 2590, 6704, 1999, 2248, 5543, 1024, 2045, 2003, 2053, 2691, 10465, 2055, 2049, 5197, 1999, 1996, 16216, 20100, 1997, 1996, 2783, 5325, 1010, 4496, 2055, 3251, 2009, 5836, 1037, 5081, 2005, 2925, 2458, 1998, 9211, 1997, 1996, 2088, 4610, 1012, 2023, 2003, 2025, 1996, 2034, 2051, 2008, 2023, 2828, 1997, 3795, 10047, 26657, 2038, 4158, 2021, 1996, 2197, 2792, 2001, 17253, 2011, 2049, 3618, 10194, 1998, 9367, 1998, 2138, 1997, 1996, 2755, 2008, 1996, 6327, 10047, 26657, 2015, 1997, 3935, 3032, 2020, 3701, 13790, 2011, 8361, 3032, 1012, 2023, 2197, 2391, 11637, 1996, 6061, 2008, 2057, 2024, 2085, 5307, 2242, 2714, 1024, 3795, 10047, 26657, 2015, 2007, 2367, 5320, 1012, 2044, 23208, 1996, 2367, 10740, 3728, 6126, 2055, 1996, 4254, 1997, 2122, 10047, 26657, 2015, 2006, 1996, 2088, 5325, 1010, 1996, 3166, 11138, 2006, 2129, 2009, 2089, 4298, 19852, 1999, 1996, 2925, 1010, 16228, 2008, 2009, 2003, 2025, 2825, 2000, 3627, 2041, 1037, 7312, 1999, 1996, 2149, 3097, 15074, 2029, 2052, 1999, 2735, 2599, 2000, 1037, 6196, 2139, 28139, 23247, 1997, 2049, 9598, 1012, 3814, 3972, 11425, 26033, 14083, 13910, 10179, 4107, 1037, 3117, 7339, 1999, 2014, 3720, 1523, 1996, 3171, 5325, 1998, 1996, 4483, 5325, 1024, 11698, 3111, 1998, 8220, 1524, 2011, 9104, 2008, 2119, 1996, 2783, 3171, 5325, 1998, 1996, 4483, 5325, 2024, 3795, 13352, 1998, 2024, 2000, 1037, 3056, 6698, 6970, 16570, 4383, 1012, 2119, 25332, 3745, 2070, 5875, 12319, 1024, 1996, 9886, 1997, 11664, 3891, 2001, 3625, 2005, 2037, 4325, 1010, 1996, 3739, 1997, 2004, 24335, 12589, 2592, 1010, 1998, 1996, 3768, 1997, 3305, 3085, 1998, 23411, 9529, 1010, 2426, 2500, 1012, 1996, 3166, 9319, 2008, 2011, 20302, 7274, 2075, 1996, 2126, 1999, 2029, 2122, 6214, 2031, 2042, 26176, 1999, 2344, 2000, 9611, 4483, 3471, 5875, 8220, 2064, 2022, 4342, 2005, 13729, 1996, 3171, 5325, 1012, 1996, 2117, 3127, 1997, 2023, 5550, 3179, 1997, 1996, 23969, 17175, 4328, 16216, 21885, 2319, 8368, 2186, 1010, 4709, 1523, 3193, 1997, 1996, 5325, 2013, 1996, 7339, 1997, 4975, 3032, 1524, 8704, 2000, 20302, 23274, 1996, 3663, 1999, 3032, 2029, 1006, 2004, 1999, 1996, 2553, 1997, 2859, 1007, 2024, 16036, 2000, 2468, 1996, 2364, 4439, 2749, 1997, 1996, 2088, 4610, 1999, 1996, 5109, 2000, 2272, 1010, 2030, 2029, 1006, 2004, 1999, 1996, 2553, 1997, 4975, 3032, 1007, 9015, 1996, 4254, 1997, 3171, 5402, 3431, 1999, 1037, 2367, 1998, 2763, 2062, 3809, 2126, 1012, 1999, 2010, 3720, 1523, 2859, 1998, 2093, 25332, 1524, 1010, 19423, 9220, 16478, 1996, 3563, 2838, 1997, 1996, 2553, 1997, 1996, 2822, 4610, 1012, 1999, 3522, 5109, 1010, 2859, 2038, 2579, 2006, 1037, 3618, 2535, 2006, 1996, 2248, 3171, 2754, 1998, 2003, 3497, 2000, 2022, 1037, 10561, 5387, 2005, 1996, 6622, 1997, 1996, 2088, 4610, 1999, 1996, 5109, 2000, 2272, 2429, 2000, 2129, 2009, 9611, 2015, 1996, 7860, 13686, 2011, 2049, 2458, 1998, 2129, 2009, 17409, 2015, 2046, 1996, 3171, 11967, 2004, 1037, 2878, 1012, 1996, 2822, 4610, 2323, 2022, 20302, 23274, 2094, 2025, 2069, 2306, 1996, 11709, 1997, 1996, 2783, 3795, 3171, 1998, 3361, 5325, 2021, 2442, 2022, 5319, 1998, 20302, 23274, 2094, 2306, 1996, 7705, 1997, 1996, 14516, 1998, 6196, 3293, 1998, 3361, 10047, 26657, 2015, 2029, 4839, 2006, 2019, 2248, 2504, 1998, 1996, 5081, 1997, 1037, 5377, 4125, 1999, 1996, 3976, 1997, 6315, 4475, 1998, 3019, 4219, 1012, 1996, 2535, 1998, 4254, 1997, 1996, 5325, 2006, 3763, 2637, 2003, 3294, 2367, 2013, 1996, 3025, 2553, 1012, 1999, 2037, 3720, 1523, 1996, 4254, 1997, 1996, 5325, 2006, 3763, 2637, 1524, 1010, 1996, 6048, 4560, 6446, 3698, 2050, 1998, 20239, 13658, 20302, 23274, 1996, 4254, 1997, 1996, 5325, 2006, 2148, 2137, 3032, 1012, 2027, 17674, 2008, 1996, 3466, 2006, 4975, 18730, 2038, 2042, 3760, 2084, 2006, 2764, 3032, 1010, 2750, 1996, 2755, 2008, 1996, 5285, 10450, 18605, 1997, 3930, 1999, 3522, 5109, 2038, 3227, 2042, 4602, 1999, 1996, 4975, 2088, 1012, 2044, 9990, 2339, 1996, 4254, 2006, 3763, 2137, 3032, 2038, 2042, 8276, 2084, 1999, 3025, 25332, 1998, 12151, 1996, 10831, 1997, 7233, 2029, 2024, 2635, 2173, 1010, 2027, 16519, 2008, 2130, 10514, 9397, 18606, 2008, 3904, 1997, 2122, 10831, 2020, 2000, 5258, 1010, 2027, 5987, 1996, 2088, 2000, 4982, 1999, 1996, 3054, 1013, 2146, 2744, 2012, 1037, 2896, 3446, 2084, 1999, 1996, 3522, 2627, 1010, 2021, 2763, 2007, 8491, 22538, 2015, 1012, 2027, 2036, 10197, 2008, 1996, 2555, 1005, 1055, 2925, 2097, 3701, 12530, 2006, 1996, 6622, 1997, 1996, 2088, 4610, 1999, 1996, 2746, 2086, 1010, 2029, 2097, 2022, 4417, 2011, 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, 7353, 4646, 2516, 1024, 4742, 5537, 1011, 2981, 14255, 2595, 6887, 4270, 4653, 16216, 4313, 2287, 1048, 16415, 13462, 1006, 9977, 1010, 2053, 1007, 12997, 2278, 2620, 2465, 1024, 9353, 12740, 2497, 29537, 2475, 8873, 2465, 2171, 1024, 22863, 23207, 4818, 6370, 2974, 1024, 4118, 1010, 3075, 1010, 14709, 3075, 1010, 2566, 7367, 1006, 1041, 1012, 1043, 1012, 1010, 9140, 1010, 8150, 1010, 1999, 9033, 10415, 2080, 1010, 4385, 1012, 1007, 3075, 4838, 1999, 2030, 6913, 2011, 1037, 12702, 1011, 15923, 1006, 1041, 1012, 1043, 1012, 1010, 10327, 1010, 4111, 3526, 1010, 4385, 1012, 1007, 2030, 3075, 4838, 1999, 2030, 6913, 2011, 1037, 9207, 1006, 1041, 1012, 1043, 1012, 1010, 20228, 3022, 4328, 2094, 1010, 4385, 1012, 1007, 2030, 3075, 4820, 2069, 12702, 1011, 11767, 2030, 19019, 4772, 3058, 1024, 2249, 1011, 2260, 1011, 5511, 7353, 4646, 2193, 1024, 2249, 2692, 14142, 10790, 21084, 1996, 2556, 11028, 3640, 2019, 4522, 8040, 10354, 10371, 2005, 25117, 2015, 6913, 2006, 10882, 10278, 4765, 3560, 6887, 13923, 2083, 3117, 10077, 8171, 3952, 14802, 2013, 14255, 2595, 1012, 8860, 1997, 10882, 10278, 4765, 3560, 6887, 13923, 2064, 2022, 2580, 2013, 10077, 8171, 1010, 1998, 1037, 6887, 4270, 4653, 2291, 9605, 1037, 6887, 4270, 4328, 2094, 1998, 1037, 2393, 2121, 6887, 4270, 2003, 1037, 2112, 1997, 1996, 11028, 1012, 2019, 7814, 1997, 1996, 11028, 2003, 1037, 8934, 4820, 1037, 6887, 4270, 4653, 2291, 9605, 1037, 6887, 4270, 4328, 2094, 2008, 3397, 1037, 23767, 2278, 5648, 17181, 1996, 10077, 5250, 1997, 1996, 11028, 1998, 1037, 2393, 2121, 1015, 1012, 1037, 6887, 4270, 13458, 2030, 1037, 6887, 4270, 4328, 2094, 9605, 1037, 23767, 2278, 5648, 17181, 1037, 14255, 2595, 10077, 5250, 14802, 2013, 1037, 10882, 10278, 4765, 3560, 6887, 4270, 1010, 16726, 1996, 10077, 5250, 2515, 2025, 15821, 1037, 4013, 6673, 7677, 4588, 1050, 1011, 5536, 4742, 5537, 1012, 2260, 1012, 1996, 6887, 4270, 13458, 2030, 6887, 4270, 4328, 2094, 1997, 4366, 1015, 1010, 16726, 1996, 14255, 2595, 10077, 5250, 8681, 1037, 5537, 3479, 2013, 1996, 2177, 5398, 1997, 2597, 1015, 1011, 3590, 1010, 1016, 1011, 3590, 1010, 1017, 1011, 3590, 1010, 1018, 1011, 3590, 1998, 1019, 1011, 3590, 1997, 7367, 4160, 8909, 2053, 1024, 1015, 1006, 5796, 2615, 2140, 10736, 22747, 3022, 2546, 2615, 2140, 2290, 16526, 20974, 28745, 3012, 6199, 12190, 11368, 4757, 1007, 1012, 2410, 1012, 1996, 6887, 4270, 13458, 2030, 6887, 4270, 4328, 2094, 1997, 4366, 1015, 1010, 16726, 1996, 4654, 23924, 3560, 25117, 2003, 19660, 3495, 2000, 1996, 1050, 1011, 5536, 2203, 1997, 1996, 14255, 2595, 5537, 1012, 2403, 1012, 1996, 6887, 4270, 13458, 2030, 6887, 4270, 4328, 2094, 1997, 4366, 1015, 1010, 16726, 1996, 4654, 23924, 3560, 25117, 2003, 3479, 2013, 1996, 2177, 5398, 1997, 22931, 2030, 10341, 21739, 1010, 5266, 1042, 2615, 1010, 8040, 2546, 2615, 1010, 6904, 2497, 1010, 2309, 13100, 1010, 1062, 5884, 1997, 5250, 1037, 2030, 10341, 21739, 1006, 21358, 8873, 23684, 1007, 1010, 2019, 4801, 6657, 2030, 10341, 21739, 1010, 18243, 8091, 2030, 10341, 21739, 1010, 1056, 3526, 10769, 2030, 10341, 21739, 1010, 1049, 16257, 2465, 1045, 2030, 2462, 2030, 10341, 21739, 1010, 10882, 21337, 22471, 2378, 2030, 10341, 21739, 1010, 3424, 9289, 7076, 2030, 10341, 21739, 1010, 22851, 2480, 1011, 13100, 2030, 10341, 21739, 1010, 16270, 2906, 2030, 10341, 21739, 1010, 14931, 2721, 2549, 2030, 10341, 21739, 1010, 10047, 4168, 2581, 2030, 10341, 21739, 1010, 12226, 7629, 2015, 2030, 10341, 21739, 1010, 20704, 14428, 2099, 2030, 10341, 21739, 1010, 1043, 22540, 2030, 10341, 21739, 1998, 2060, 4962, 1011, 12359, 6897, 19857, 14604, 8458, 16610, 1012, 2321, 1012, 1996, 6887, 4270, 13458, 2030, 6887, 4270, 4328, 2094, 1997, 4366, 1015, 1010, 16726, 1996, 4654, 23924, 3560, 25117, 2003, 1037, 3075, 2266, 1012, 2385, 1012, 1037, 10882, 10278, 4765, 3560, 6887, 4270, 9605, 1037, 6887, 4270, 13458, 2030, 6887, 4270, 4328, 2094, 2429, 2000, 4366, 1015, 1012, 2459, 1012, 1996, 10882, 10278, 4765, 3560, 6887, 4270, 2429, 4366, 2385, 2582, 9605, 1037, 4962, 17181, 1059, 2102, 14255, 2595, 1998, 1013, 2030, 1996, 1059, 2102, 14255, 2595, 5250, 1012, 2324, 1012, 1996, 10882, 10278, 4765, 3560, 6887, 4270, 2429, 2000, 4366, 2385, 1010, 16726, 1996, 6887, 4270, 2515, 2025, 15821, 1037, 4962, 17181, 1059, 2102, 14255, 2595, 1998, 1013, 2030, 1996, 1059, 2102, 14255, 2595, 5250, 1012, 2539, 1012, 1996, 10882, 10278, 4765, 3560, 6887, 4270, 2429, 2000, 4366, 2385, 1010, 2582, 9605, 2028, 2030, 2062, 1997, 1996, 2177, 3479, 2013, 14255, 6137, 10077, 5250, 1010, 26189, 6137, 10077, 5250, 1998, 1013, 2030, 26189, 28954, 10077, 5250, 1012, 2322, 1012, 1037, 6887, 4270, 4653, 2291, 9605, 1037, 6887, 4270, 13458, 2030, 6887, 4270, 4328, 2094, 2429, 2000, 4366, 1015, 1998, 1037, 2393, 2121, 6887, 4270, 1012, 2538, 1012, 1037, 8934, 9605, 1996, 6887, 4270, 4653, 2291, 1997, 4366, 2322, 1012, 2570, 1012, 1037, 6887, 4270, 3075, 9605, 2048, 2030, 2062, 10882, 10278, 4765, 3560, 6887, 13923, 14962, 2367, 8171, 16726, 2012, 2560, 2028, 1997, 2122, 8171, 2003, 1996, 14255, 2595, 10077, 5250, 5228, 2013, 1996, 6887, 4270, 13458, 2030, 1037, 6887, 4270, 4328, 2094, 2429, 2000, 4366, 1015, 1012, 4281, 1997, 1996, 11028, 1996, 2224, 1997, 22863, 23207, 4818, 8107, 2005, 5250, 8720, 1010, 23191, 1998, 14080, 2038, 2042, 3811, 3144, 1999, 2119, 3834, 1998, 3293, 2470, 1998, 2458, 1012, 1999, 2023, 4847, 1010, 10882, 10278, 4765, 3560, 8670, 21162, 3695, 21890, 3351, 1010, 2030, 6887, 4270, 1010, 4653, 2974, 2038, 12308, 1996, 2126, 2108, 1996, 2034, 3075, 4132, 1998, 2145, 6106, 2015, 2004, 1996, 21949, 2974, 1012, 2947, 1010, 6887, 4270, 4653, 2003, 4235, 4162, 1999, 2119, 3937, 1998, 4162, 5250, 5456, 1010, 2004, 2092, 2004, 1999, 2458, 1997, 2119, 3117, 5250, 1011, 2241, 16474, 2015, 1998, 17261, 1010, 2029, 2024, 1996, 2465, 1997, 10099, 2087, 5901, 3652, 2088, 1011, 2898, 1012, 1996, 6958, 1997, 22863, 23207, 4818, 6887, 4270, 4653, 2974, 2003, 2241, 2006, 1996, 8991, 26305, 1011, 6887, 16515, 13874, 4957, 4270, 3253, 2011, 1996, 3200, 2008, 2169, 6819, 14772, 2097, 2069, 4653, 2006, 2049, 3302, 1996, 2200, 2168, 8171, 2008, 2024, 12359, 2011, 1996, 13458, 4372, 17695, 23722, 4383, 2011, 2049, 5250, 5435, 1012, 1996, 6887, 4270, 10811, 2993, 2003, 3811, 13070, 2000, 1037, 3528, 1997, 6887, 7274, 3695, 15869, 3785, 1025, 6516, 6887, 4270, 4653, 4107, 6020, 18601, 18724, 1999, 2116, 4989, 25228, 2004, 4102, 2000, 6637, 22863, 23207, 4818, 6786, 1012, 6887, 4270, 4653, 1997, 21770, 10624, 21197, 3560, 26572, 5051, 13876, 8621, 2038, 2042, 4719, 2478, 2035, 2274, 8332, 8171, 1997, 1996, 10882, 10278, 4765, 3560, 6887, 4270, 5435, 1010, 2021, 2069, 14255, 6137, 1011, 1998, 2000, 2070, 6698, 26189, 28954, 1011, 4653, 2031, 4227, 6923, 2224, 1006, 20965, 1012, 1015, 1007, 1012, 2043, 1996, 21770, 10624, 21197, 3560, 10077, 2003, 2069, 1037, 2460, 25117, 1010, 4800, 24879, 4653, 3001, 2478, 6887, 4270, 13458, 1011, 2241, 19019, 2024, 6871, 1010, 6168, 2005, 3469, 10077, 2015, 9034, 6999, 13100, 2087, 5097, 2097, 5770, 2013, 6887, 4270, 4328, 2094, 3001, 1012, 1999, 1996, 3732, 2553, 1010, 27781, 1011, 14255, 6137, 6887, 4270, 4653, 2003, 2011, 2521, 21949, 1996, 2492, 1010, 2021, 4522, 8040, 10354, 10371, 2015, 2024, 8361, 2012, 6440, 2015, 2220, 2422, 1010, 5719, 1996, 2342, 2005, 4935, 1997, 5250, 3330, 5906, 1997, 4826, 1012, 1037, 3811, 9059, 4646, 2003, 2000, 6464, 6855, 2152, 16730, 3563, 25117, 2030, 5250, 14187, 2545, 2013, 1037, 6887, 4270, 4653, 3075, 3432, 2011, 1999, 25969, 2075, 10327, 2007, 6887, 4270, 6819, 14772, 2015, 2096, 2145, 5391, 2000, 2049, 4539, 1012, 2203, 17545, 1998, 2944, 1010, 2786, 1006, 20117, 1024, 6146, 16048, 28311, 2692, 1007, 1010, 2988, 2008, 1996, 3576, 5435, 14255, 2595, 2001, 2025, 8360, 2007, 2178, 5250, 19660, 2000, 2049, 1050, 1011, 7342, 1012, 3568, 1010, 2023, 3189, 5531, 2008, 14255, 2595, 3685, 2022, 2109, 2005, 6887, 4270, 4653, 1012, 2119, 17377, 3802, 2632, 1012, 1006, 20117, 1024, 9800, 23499, 22275, 2629, 1010, 13092, 23499, 22022, 2509, 1998, 24185, 8889, 2581, 16048, 2683, 2549, 1007, 1998, 1047, 8865, 4014, 3802, 2632, 1012, 1006, 20117, 1024, 28192, 2692, 12740, 2509, 1007, 2031, 2101, 3491, 2008, 1050, 1011, 5536, 14255, 2595, 10077, 4653, 2003, 3039, 2043, 5228, 2013, 6887, 4270, 4328, 5104, 1998, 2109, 1999, 5257, 2007, 4742, 5537, 1011, 7790, 2566, 11514, 8523, 7712, 14126, 1012, 1999, 2122, 3001, 1010, 13711, 3370, 3138, 2173, 2004, 1059, 2102, 14255, 2595, 2003, 6955, 2013, 1996, 2393, 2121, 6887, 4270, 13458, 2588, 6887, 4270, 4328, 2094, 5343, 1012, 1996, 6887, 4270, 4328, 2094, 2004, 21362, 1999, 20965, 1012, 23409, 1997, 24185, 8889, 2581, 16048, 2683, 2549, 1006, 2302, 10077, 5250, 12889, 1007, 1998, 20965, 1012, 1016, 2497, 1997, 24185, 8889, 2581, 16048, 2683, 2549, 1006, 2007, 10077, 5250, 12889, 1007, 4415, 8681, 1037, 21877, 20850, 4742, 5537, 1006, 2007, 3275, 3793, 2006, 3931, 1021, 1010, 3210, 1016, 1011, 2403, 1007, 1012, 2004, 3855, 2682, 1010, 2009, 2018, 3130, 2042, 4081, 2008, 14255, 2595, 2001, 2025, 8360, 2007, 2178, 5250, 19660, 2000, 1996, 1050, 2744, 5498, 1010, 1998, 17377, 3802, 1012, 2632, 1012, 2435, 2048, 2825, 4436, 2005, 2037, 3112, 1010, 2593, 2894, 2030, 2011, 1996, 5257, 1997, 2119, 1012, 2028, 2825, 3114, 2001, 2008, 1037, 4013, 6673, 7677, 4588, 3003, 5537, 1006, 4742, 5537, 1007, 2001, 4987, 1050, 1011, 5536, 2135, 2000, 1996, 10077, 8171, 1010, 2947, 12725, 14126, 1997, 1996, 28667, 5358, 21114, 3372, 5250, 2000, 1996, 2566, 11514, 8523, 7712, 2686, 1998, 8558, 8729, 20299, 1999, 1996, 22330, 14399, 8523, 2213, 1012, 2178, 2825, 3114, 2001, 2008, 1996, 28667, 5358, 21114, 3372, 8171, 2020, 5228, 2013, 1037, 6887, 4270, 4328, 2094, 1010, 2025, 1037, 6887, 4270, 13458, 2004, 2011, 2203, 17545, 1998, 2944, 1010, 6516, 3748, 2828, 14255, 2595, 2013, 1996, 2393, 2121, 6887, 4270, 21268, 2734, 2005, 6887, 4270, 4328, 2094, 5343, 2020, 13711, 2075, 1996, 28667, 5358, 21114, 3372, 14255, 2595, 10077, 8171, 1010, 2947, 15224, 3748, 2828, 15380, 2008, 4728, 2089, 2031, 2042, 2439, 2349, 2000, 1996, 28667, 5358, 21114, 3372, 14080, 1012, 1045, 1012, 1041, 1012, 1996, 6887, 13923, 2052, 15821, 1037, 4666, 1997, 3748, 1011, 2828, 1998, 10077, 8171, 1012, 1047, 8865, 4014, 3802, 2632, 1012, 1006, 20117, 1024, 28192, 2692, 12740, 2509, 1007, 5577, 2019, 4646, 18077, 2075, 1996, 3444, 1997, 1037, 20377, 5051, 6895, 8873, 2278, 10882, 10278, 4765, 3560, 6887, 4270, 6819, 14772, 1999, 2029, 2019, 4654, 23924, 3560, 25117, 2003, 6913, 2012, 2169, 29333, 5955, 1997, 1996, 2200, 2168, 6819, 14772, 1012, 2027, 4719, 2023, 2011, 2478, 1996, 5257, 1997, 1037, 2691, 14255, 6137, 6887, 4270, 13458, 9207, 13711, 2075, 1037, 4013, 6673, 7677, 4588, 4742, 5537, 7790, 14255, 2595, 4653, 6887, 4270, 4328, 2094, 1012, 1999, 2023, 4292, 1010, 1996, 6887, 4270, 13458, 9207, 2366, 2004, 1037, 2393, 2121, 6887, 4270, 1999, 23659, 1996, 6887, 4270, 4328, 2094, 1012, 12654, 1997, 1996, 11028, 2019, 4874, 1997, 1996, 2556, 11028, 2003, 2000, 3073, 2019, 4522, 8040, 10354, 10371, 2005, 25117, 2015, 6913, 2006, 10882, 10278, 4765, 3560, 6887, 13923, 1012, 1037, 2034, 7814, 1997, 1996, 11028, 2003, 1037, 14255, 2595, 10077, 8171, 14802, 2013, 1037, 10882, 10278, 4765, 3560, 6887, 4270, 1010, 2056, 10077, 8171, 2515, 2025, 15821, 1037, 4013, 6673, 7677, 4588, 1050, 1011, 5536, 4742, 5537, 1998, 6516, 2003, 1037, 3622, 10077, 2000, 2019, 4654, 23924, 3560, 25117, 1012, 2178, 7814, 1997, 1996, 11028, 14623, 2000, 23767, 2278, 12737, 17181, 1996, 10077, 8171, 1997, 1996, 11028, 1012, 2028, 7814, 1997, 1996, 11028, 14623, 2000, 10882, 10278, 4765, 3560, 6887, 13923, 9605, 1996, 10077, 8171, 1997, 1996, 11028, 1012, 2178, 7814, 1997, 1996, 11028, 14623, 2000, 1037, 3075, 1997, 10882, 10278, 4765, 3560, 6887, 13923, 1012, 2178, 7814, 1997, 1996, 11028, 14623, 2000, 1037, 6887, 4270, 4653, 2291, 9605, 1037, 6887, 4270, 4328, 2094, 1998, 1037, 2393, 2121, 6887, 4270, 1010, 16726, 1996, 6887, 4270, 4328, 2094, 8681, 1037, 23767, 2278, 5648, 17181, 1996, 14255, 2595, 10077, 8171, 1997, 1996, 11028, 1012, 2028, 7814, 14623, 2000, 1037, 8934, 9605, 1037, 6887, 4270, 4653, 2291, 9605, 1037, 6887, 4270, 4328, 2094, 1998, 1037, 2393, 2121, 6887, 4270, 1010, 16726, 1996, 6887, 4270, 4328, 2094, 8681, 1037, 23767, 2278, 5648, 17181, 1996, 14255, 2595, 10077, 8171, 1997, 1996, 11028, 1012, 4766, 6412, 1997, 1996, 4481, 20965, 1012, 1015, 1012, 8040, 28433, 4588, 5059, 1997, 1996, 10882, 10278, 4765, 3560, 6887, 4270, 3252, 1012, 1996, 6819, 14772, 2003, 2328, 2039, 2011, 2274, 8332, 8171, 2008, 5435, 1037, 2309, 1011, 15577, 6064, 13922, 1012, 1999, 1996, 3748, 2828, 1006, 1059, 2102, 1007, 6887, 4270, 2045, 2024, 2055, 13756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]