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, 6353, 1042, 1012, 7605, 7287, 2683, 2142, 2163, 1997, 2637, 1010, 20579, 1011, 10439, 14774, 2063, 1010, 1058, 1012, 6838, 2829, 9027, 1010, 9875, 1010, 4116, 12385, 1010, 2198, 2957, 7087, 4232, 1010, 6746, 7213, 4679, 1010, 16362, 1011, 10439, 24178, 2015, 1012, 2053, 1012, 6365, 1011, 6282, 12521, 1012, 2142, 2163, 2457, 1997, 9023, 1010, 11911, 4984, 1012, 13292, 1012, 2756, 1010, 2786, 1012, 7112, 4922, 6517, 5004, 1010, 5865, 1010, 11721, 1010, 2005, 9027, 1012, 2745, 16897, 1010, 5032, 5946, 1010, 11721, 1010, 2005, 7087, 4232, 1012, 2728, 2577, 10882, 7869, 2099, 1010, 5865, 1010, 11721, 1010, 2005, 4679, 1012, 16216, 18752, 9644, 7987, 8591, 1010, 3772, 1057, 1012, 1055, 1012, 2012, 3723, 1012, 1010, 5623, 1051, 1012, 5143, 1010, 6864, 20206, 11417, 2140, 1010, 4632, 2102, 1012, 1057, 1012, 1055, 1012, 2012, 3723, 2015, 1012, 1010, 5865, 1010, 11721, 1010, 2005, 1057, 1012, 1055, 1012, 9023, 2013, 1996, 2142, 2163, 2212, 2457, 2005, 1996, 2642, 2212, 1997, 4108, 1012, 2077, 21773, 3385, 1998, 9574, 1010, 4984, 6794, 1010, 1998, 23201, 1010, 3026, 4984, 3648, 1012, 23201, 1010, 3026, 4984, 3648, 1024, 1015, 1999, 2285, 1997, 2889, 1010, 1037, 2976, 2882, 6467, 1999, 1996, 2642, 2212, 1997, 4108, 2513, 1037, 2176, 1011, 4175, 24265, 13003, 6746, 7213, 4679, 1010, 6838, 2829, 9027, 1010, 9875, 4116, 12385, 1010, 2198, 2957, 7087, 4232, 1010, 1998, 2274, 2060, 2273, 2007, 9530, 13102, 24771, 2000, 10295, 16034, 2007, 1996, 7848, 2000, 16062, 1998, 2060, 4319, 3141, 5571, 1012, 1015, 1999, 2258, 1997, 2826, 1010, 2216, 2168, 16362, 2020, 2315, 1999, 1037, 3565, 6924, 2075, 24265, 13003, 2068, 2007, 9530, 13102, 24771, 2000, 10295, 16034, 2007, 1996, 7848, 2000, 16062, 1999, 4175, 2028, 1998, 1996, 6664, 1997, 16034, 2007, 1996, 7848, 2000, 16062, 2006, 2030, 2055, 2281, 2321, 1010, 2826, 1999, 4175, 2048, 1012, 4679, 2001, 5338, 1999, 9294, 2093, 1998, 2176, 2007, 8932, 1999, 7553, 6236, 2013, 3516, 2000, 4108, 2007, 1996, 7848, 2000, 4287, 2006, 1996, 22300, 4023, 1997, 1996, 4353, 1997, 16034, 2006, 2030, 2055, 2281, 1016, 1010, 2901, 1012, 1016, 2077, 3979, 1010, 16362, 1011, 10439, 24178, 2015, 2333, 2000, 16081, 3350, 2179, 1999, 1996, 5039, 2076, 1996, 12329, 2832, 1010, 23294, 2008, 1996, 10943, 3238, 4443, 2046, 1996, 5039, 14424, 2037, 2959, 7450, 2916, 1012, 2023, 4367, 2001, 3615, 2011, 1996, 2212, 2457, 2000, 1037, 2142, 2163, 14351, 3648, 2040, 2218, 2019, 10358, 17302, 4994, 2006, 1996, 3043, 1012, 1999, 2010, 3189, 1998, 12832, 1996, 14351, 6749, 14920, 1997, 1996, 4367, 1010, 21936, 16362, 1011, 10439, 24178, 2015, 6685, 2008, 1996, 10943, 3238, 4443, 2001, 2302, 4654, 29206, 2102, 6214, 2000, 16114, 1996, 24554, 1012, 2212, 2457, 3648, 2957, 1039, 1012, 11462, 3970, 1998, 4233, 1996, 3189, 1998, 12832, 1997, 1996, 14351, 3648, 1012, 1037, 2093, 2733, 6467, 3979, 4504, 1999, 1996, 10652, 1997, 2035, 16362, 2006, 2035, 5571, 1012, 4679, 2001, 7331, 2000, 1037, 2744, 1997, 2166, 1999, 3827, 1010, 1998, 9027, 2001, 7331, 2000, 1037, 2744, 1997, 25797, 2706, 1999, 3827, 2628, 2011, 2274, 2086, 1997, 13588, 2713, 1012, 2006, 5574, 1010, 2119, 16362, 4119, 1996, 2212, 2457, 1005, 1055, 14920, 1997, 2037, 4367, 2000, 16081, 1012, 13474, 9027, 7860, 1996, 2212, 2457, 1005, 1055, 6996, 2006, 1996, 4748, 15630, 3736, 8553, 1997, 3056, 3350, 1998, 1996, 17208, 1997, 2010, 6251, 1012, 2005, 4436, 4541, 2917, 1010, 2057, 21358, 27972, 1996, 16362, 1005, 20488, 1998, 11746, 1012, 1045, 1012, 1996, 4367, 2000, 16081, 1017, 1037, 1012, 1996, 3350, 3253, 2012, 1996, 16341, 4994, 1018, 2006, 2281, 1021, 1010, 2889, 1010, 6892, 8093, 2080, 15091, 2015, 2150, 1037, 18777, 28694, 1006, 1000, 25022, 1000, 1007, 2043, 2002, 2001, 4727, 1998, 5338, 2007, 6664, 1997, 16034, 1012, 2002, 3530, 2000, 17654, 2007, 2375, 7285, 3738, 1998, 2409, 2068, 2008, 2002, 2071, 4965, 5417, 18857, 1997, 16034, 2005, 2068, 1012, 1019, 15091, 2015, 11925, 6746, 7213, 4679, 1010, 3183, 15091, 2015, 2354, 2004, 1000, 2708, 1000, 1010, 1998, 6727, 2032, 2008, 2002, 2354, 1997, 2619, 2040, 2359, 2000, 2191, 1037, 4965, 1012, 2006, 2281, 2403, 1010, 2889, 1010, 1996, 25022, 1998, 2019, 16382, 4005, 20540, 2004, 1037, 16034, 5309, 2099, 2777, 4679, 2012, 1996, 5865, 3199, 2000, 13676, 1037, 5309, 1997, 3155, 5417, 18857, 1997, 16034, 1012, 15091, 2015, 1998, 4679, 5225, 2000, 2019, 4545, 1999, 17176, 2221, 2073, 2027, 2777, 2007, 1056, 1012, 1061, 1012, 3946, 1998, 1046, 1012, 1054, 1012, 7087, 4232, 1012, 2076, 1996, 4536, 2013, 1996, 3199, 1037, 4512, 2001, 2680, 1999, 2029, 4679, 5720, 2055, 4909, 2312, 12450, 1997, 16034, 2046, 1996, 5865, 2181, 2013, 2662, 1010, 5631, 1010, 1998, 2047, 2259, 1012, 4679, 2081, 7565, 2005, 3946, 2000, 3113, 15091, 2015, 1998, 1996, 16382, 4005, 1996, 2279, 2154, 2012, 1037, 6023, 2415, 1999, 19243, 4674, 2221, 2000, 8116, 1996, 16034, 1012, 1020, 3946, 3369, 2012, 1996, 6023, 2415, 2012, 3155, 1023, 1024, 4002, 1037, 1012, 1049, 1012, 2006, 2281, 2321, 1010, 2889, 1010, 2021, 5393, 2008, 2002, 2106, 2025, 2215, 2000, 6204, 1996, 3066, 2045, 1998, 2318, 2000, 2681, 1012, 2012, 2008, 2051, 3946, 2001, 4727, 2011, 7505, 3726, 8591, 2075, 2569, 6074, 1012, 1037, 3945, 1997, 2010, 9935, 3936, 3595, 27998, 1010, 24668, 1997, 1996, 18276, 1997, 6206, 5850, 1010, 2021, 2053, 5850, 2020, 2179, 1012, 1021, 1996, 25022, 11925, 4679, 1998, 2409, 2032, 2008, 3946, 2018, 3478, 2000, 2265, 2039, 2005, 1996, 3066, 1012, 2574, 6920, 1010, 4679, 3369, 2012, 1996, 6023, 2415, 1012, 4679, 1998, 15091, 2015, 2187, 1999, 15091, 2015, 1005, 9935, 1998, 2020, 2908, 2005, 3155, 2093, 2847, 1012, 2006, 2037, 2709, 2000, 1996, 6023, 2415, 1010, 15091, 2015, 2109, 1037, 12562, 3042, 2000, 9499, 4005, 19186, 2008, 2027, 2018, 1996, 5850, 2007, 2068, 1012, 2043, 2027, 3369, 1010, 4679, 2001, 4727, 1998, 5417, 18857, 1997, 16034, 2020, 2179, 1999, 1037, 3595, 15273, 1999, 15091, 1005, 1055, 9935, 1012, 4679, 1005, 1055, 6545, 4158, 2012, 3155, 1015, 1024, 2654, 1052, 1012, 1049, 1012, 1022, 1996, 25022, 2059, 9449, 2375, 7285, 3738, 2008, 2002, 2354, 1996, 2358, 11823, 2160, 2073, 2062, 5850, 2020, 2284, 1998, 2008, 2111, 2020, 2012, 2008, 2051, 2437, 4060, 1011, 11139, 2005, 6959, 1012, 2002, 2036, 9449, 6074, 14851, 1998, 8799, 1997, 1996, 19243, 4674, 2221, 2016, 18752, 4246, 1005, 1055, 2533, 2008, 2027, 2734, 2000, 2131, 2000, 1996, 2160, 2004, 2574, 2004, 2825, 2138, 23534, 1997, 1996, 16034, 2020, 2108, 2081, 2041, 1997, 1996, 2160, 1012, 4005, 2053, 2063, 1997, 1996, 11811, 2221, 27290, 3131, 1998, 4005, 14851, 5225, 2007, 1996, 25022, 2000, 1996, 1000, 2358, 11823, 1000, 2160, 3295, 2012, 12104, 6861, 16748, 5937, 2346, 1999, 2888, 2221, 1012, 15091, 2015, 4197, 2008, 2160, 2041, 2004, 1996, 4319, 2160, 2043, 1037, 2317, 4060, 1011, 2039, 4744, 2001, 7282, 1999, 1996, 11202, 1012, 15091, 2015, 2409, 2053, 2063, 2008, 2043, 2027, 2020, 2012, 1996, 2160, 3041, 1010, 4679, 2001, 9855, 1996, 6959, 1997, 16034, 2041, 1997, 1996, 2160, 1012, 1023, 4005, 2053, 2063, 11925, 4005, 5074, 24646, 17226, 1997, 1996, 2888, 2221, 2610, 2533, 2040, 1999, 2735, 11925, 2019, 3353, 2212, 4905, 2013, 2888, 2221, 1012, 24646, 17226, 2001, 2000, 3113, 2053, 2063, 2379, 1996, 6861, 16748, 5937, 3295, 2000, 2156, 2055, 1037, 3945, 10943, 1012, 2053, 2063, 2036, 4137, 6074, 2000, 3422, 1996, 2160, 1998, 2856, 2068, 2000, 2644, 2151, 4683, 2008, 2187, 1996, 2160, 1012, 24646, 17226, 3369, 1998, 2777, 2007, 2053, 2063, 2012, 3155, 1016, 1024, 4002, 1011, 1016, 1024, 2382, 1052, 1012, 1049, 1012, 2053, 2063, 6727, 24646, 17226, 1997, 1996, 2824, 2029, 2419, 2039, 2000, 2037, 3739, 2012, 1996, 6861, 16748, 5937, 3295, 1012, 2012, 3155, 1017, 1024, 4002, 1011, 1017, 1024, 2382, 1010, 2053, 2063, 2777, 2007, 2070, 1997, 1996, 6074, 1998, 3738, 2012, 1996, 3496, 2000, 12367, 2068, 1997, 1996, 6214, 2920, 1010, 2004, 2092, 2004, 2000, 16021, 18300, 2068, 2004, 2000, 2037, 5704, 1012, 2012, 2105, 1018, 1024, 4002, 1052, 1012, 1049, 1012, 1010, 2053, 2063, 1998, 24646, 17226, 5225, 2011, 1996, 2160, 2061, 2008, 24646, 17226, 2071, 2131, 1037, 3558, 6412, 1997, 1996, 5039, 2005, 1037, 3945, 10943, 4646, 1012, 24646, 17226, 2001, 2000, 2022, 1996, 21358, 22749, 3372, 2006, 1996, 3945, 10943, 1012, 2184, 2077, 1996, 3945, 10943, 2001, 4663, 1010, 3056, 2824, 9099, 21649, 2029, 3303, 1996, 2610, 2000, 4607, 1998, 5851, 1996, 6861, 16748, 5937, 5039, 1012, 2588, 2037, 6712, 2013, 1996, 5039, 2181, 1010, 2053, 2063, 1998, 24646, 17226, 2020, 6727, 1997, 1037, 2630, 1998, 3165, 15373, 4744, 2975, 1996, 5039, 1012, 2053, 2063, 1998, 24646, 17226, 1010, 2247, 2007, 2060, 6074, 1010, 3030, 1996, 4744, 1012, 1996, 4744, 2001, 5533, 2011, 3817, 2728, 10556, 2229, 4115, 2040, 2001, 2478, 1996, 14593, 1997, 2198, 4557, 6243, 1012, 6074, 9022, 1996, 4744, 2005, 2769, 1010, 5850, 2030, 3595, 27998, 2021, 3904, 2071, 2022, 2179, 2012, 2008, 2051, 1012, 1996, 6074, 2207, 10556, 2229, 4115, 2012, 3155, 1018, 1024, 3486, 1052, 1012, 1049, 1012, 1010, 14892, 2027, 2018, 2042, 3173, 2032, 2205, 2146, 2302, 15596, 3426, 2000, 6545, 2032, 1012, 2348, 10556, 2229, 4115, 2001, 2207, 1010, 2010, 4744, 2001, 6025, 2005, 2582, 10569, 1012, 2340, 4005, 24646, 17226, 2187, 1996, 3496, 2073, 1996, 4744, 2018, 2042, 2766, 2058, 1999, 2344, 2000, 3113, 2007, 2888, 2221, 3353, 2212, 4905, 11338, 9766, 2040, 2018, 3369, 2012, 1996, 3295, 2012, 3155, 1018, 1024, 4002, 1052, 1012, 1049, 1012, 2076, 2023, 3116, 24646, 17226, 6727, 2032, 1997, 1996, 5537, 1997, 2824, 2029, 2419, 2039, 2000, 2037, 3739, 2012, 1996, 6861, 16748, 5937, 3295, 1012, 24646, 17226, 1998, 11338, 9766, 2036, 2777, 2007, 1996, 25022, 1999, 2344, 2000, 5676, 2027, 2018, 2035, 1997, 1996, 8866, 1998, 2592, 4072, 2000, 5851, 1037, 3945, 10943, 1012, 1996, 25022, 6727, 11338, 9766, 1997, 1996, 2824, 2008, 2018, 9099, 21649, 3041, 1998, 2054, 2002, 2018, 5159, 2012, 1996, 1000, 2358, 11823, 1000, 2160, 1012, 2260, 5564, 1010, 2076, 24646, 17226, 1005, 3116, 2007, 11338, 9766, 1998, 1996, 25022, 1010, 1037, 2304, 3013, 27102, 2766, 2046, 1996, 11202, 1997, 1996, 5039, 1998, 2059, 6153, 2039, 1998, 2187, 1012, 2588, 2049, 6712, 2013, 1996, 5039, 1996, 2482, 2001, 3030, 1998, 1037, 3945, 3936, 5023, 27998, 2247, 2007, 2070, 8313, 3730, 24454, 24213, 1010, 2029, 2024, 2411, 2109, 2000, 7308, 1996, 6518, 1997, 5850, 2013, 4319, 10788, 6077, 1012, 2053, 5850, 2020, 2179, 1999, 1996, 27998, 1012, 2093, 3633, 1999, 1996, 3013, 27102, 2020, 4727, 1010, 4459, 8233, 1010, 2585, 2940, 1998, 1046, 1012, 1054, 1012, 7087, 4232, 1012, 2940, 2018, 1037, 2235, 11712, 1997, 16034, 2006, 2010, 2711, 1012, 2410, 2012, 2055, 1019, 1024, 2321, 1011, 1019, 1024, 2382, 1052, 1012, 1049, 1012, 1037, 3158, 2766, 2046, 1996, 6861, 16748, 5937, 2160, 11202, 1998, 1996, 7381, 2341, 2441, 1012, 1996, 3158, 3133, 1996, 7381, 1998, 1996, 7381, 2341, 2701, 1012, 2009, 2001, 2012, 2023, 2051, 2008, 4005, 2053, 2063, 3373, 2009, 2001, 23934, 2008, 2027, 5851, 1996, 2160, 1012, 2053, 2063, 6936, 1996, 3247, 2007, 4005, 24646, 17226, 1998, 2720, 1012, 11338, 9766, 2077, 3772, 1012, 2403, 4005, 2053, 2063, 14914, 2008, 2010, 3247, 2000, 5851, 1996, 5039, 2001, 2241, 2006, 2010, 3078, 5142, 2008, 3350, 2052, 2022, 2439, 1012, 2053, 2063, 2582, 3090, 2008, 2002, 2001, 4986, 2008, 2619, 2453, 10574, 2006, 3329, 2030, 1999, 1037, 4316, 1998, 2404, 1996, 2270, 2030, 3738, 1999, 5473, 1010, 1998, 2008, 2065, 2619, 2018, 6783, 2083, 1996, 2235, 12572, 1010, 2045, 2001, 1037, 3382, 2027, 2071, 2131, 2185, 2007, 1996, 3350, 1012, 2321, 1996, 4443, 2046, 1996, 5039, 2001, 4146, 2011, 19243, 4674, 1010, 2888, 1010, 1998, 11811, 2221, 6074, 1012, 1996, 2160, 2001, 7119, 1998, 10439, 24178, 9027, 2001, 2179, 2503, 1010, 2247, 2007, 19597, 2078, 3766, 1012, 1999, 1996, 2832, 1997, 12329, 1996, 2160, 1010, 6074, 3603, 3155, 3263, 18857, 1997, 16034, 1998, 2055, 1002, 1015, 1010, 17943, 1010, 2199, 1012, 4002, 1012, 1996, 3738, 2020, 8385, 2409, 2025, 2000, 3945, 1996, 2160, 2127, 1996, 7781, 1997, 1996, 3945, 10943, 1012, 2385, 21358, 22749, 3372, 24646, 17226, 1998, 3353, 2212, 4905, 11338, 9766, 2187, 1996, 2160, 2005, 5682, 1997, 11381, 1037, 3945, 10943, 3155, 2702, 2000, 5417, 2781, 2044, 1996, 2160, 2001, 7119, 1012, 21358, 22749, 3372, 24646, 17226, 3591, 1037, 2888, 2221, 6020, 2457, 3648, 2007, 2517, 1998, 8700, 2592, 7175, 1996, 6214, 2029, 9099, 21649, 3041, 1999, 1996, 2154, 2021, 2025, 1996, 4751, 4342, 2076, 1996, 12329, 1997, 1996, 2160, 1012, 1996, 10943, 2001, 2772, 2012, 1021, 1024, 2321, 1052, 1012, 1049, 1012, 1998, 21358, 22749, 3372, 24646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3602, 1024, 2023, 22137, 2003, 2512, 28139, 22119, 19909, 1012, 2142, 2163, 2457, 1997, 9023, 2005, 1996, 2976, 4984, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 20029, 1048, 1012, 10856, 3258, 1010, 9964, 2121, 1010, 1058, 1012, 2533, 1997, 1996, 9837, 6869, 4765, 1012, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 2249, 1011, 24232, 2683, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 9964, 2005, 3319, 1997, 1996, 7857, 3001, 3860, 2604, 1999, 2553, 2053, 1012, 6887, 21486, 2629, 2232, 2692, 17914, 27814, 2575, 1011, 1045, 1011, 1015, 1012, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 2787, 1024, 2251, 2340, 1010, 2249, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 20029, 1048, 1012, 10856, 3258, 1010, 7632, 3070, 3511, 1010, 4404, 1010, 4013, 7367, 1012, 5487, 1042, 1012, 11228, 20051, 2080, 1010, 3979, 4905, 1010, 3293, 15382, 3589, 1010, 2942, 2407, 1010, 2142, 2163, 18280, 1011, 2273, 2102, 1997, 3425, 1010, 1997, 2899, 1010, 5887, 1010, 2005, 6869, 4765, 1012, 2007, 2032, 2006, 1996, 4766, 2020, 4116, 2225, 1010, 3353, 4905, 2236, 1010, 14537, 1041, 1012, 12017, 1010, 2472, 1010, 15555, 1037, 1012, 2011, 19172, 1010, 3353, 2472, 1012, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 10856, 3258, 1058, 1012, 9837, 1016, 2077, 10625, 1010, 8040, 9892, 1998, 5405, 1010, 4984, 6794, 1012, 2566, 12731, 25557, 1012, 5796, 1012, 20029, 1048, 1012, 10856, 3258, 1010, 6037, 4013, 7367, 1010, 9023, 1996, 7857, 3001, 3860, 2604, 1521, 1055, 1006, 2604, 1007, 3247, 9772, 1011, 13749, 2014, 5227, 2000, 2128, 26915, 1998, 19222, 12259, 2014, 5574, 1012, 24501, 2361, 1521, 1056, 1521, 1055, 10439, 1012, 1020, 1011, 1023, 1012, 2138, 1996, 2604, 2106, 2025, 6905, 2049, 19258, 1010, 2057, 21358, 27972, 1996, 2604, 1521, 1055, 3247, 2000, 9772, 2014, 5227, 2000, 2128, 26915, 1998, 19222, 12259, 2014, 5574, 1012, 4281, 1996, 2533, 1997, 1996, 9837, 1006, 9837, 1007, 5086, 5796, 1012, 10856, 3258, 1999, 3055, 2004, 1037, 6599, 4005, 1012, 2044, 3529, 1037, 2028, 1011, 2095, 19703, 5649, 2558, 1010, 5796, 1012, 10856, 3258, 2506, 2551, 2005, 9837, 2127, 2016, 5295, 1999, 2257, 2432, 1012, 3053, 2093, 2086, 2044, 2014, 8172, 1010, 9837, 2128, 20908, 2094, 5796, 1012, 10856, 3258, 2004, 1037, 6599, 4005, 2006, 2257, 1020, 1010, 2289, 1012, 2004, 1037, 4650, 1997, 2014, 2128, 20908, 1010, 9837, 3223, 5796, 1012, 10856, 3258, 2000, 3143, 2178, 2028, 1011, 2095, 19703, 5649, 2558, 1012, 2076, 2014, 19703, 5649, 2558, 1010, 5796, 1012, 10856, 3258, 1521, 1055, 2158, 1011, 2287, 2099, 2198, 16827, 9382, 5159, 5567, 13366, 2072, 1011, 25022, 15266, 1999, 5796, 1012, 10856, 3258, 1521, 1055, 2836, 1012, 2241, 2588, 2122, 9420, 1010, 2720, 1012, 16827, 2435, 5796, 1012, 10856, 3258, 7989, 2030, 21873, 8599, 1999, 2195, 5919, 1997, 2014, 4187, 3105, 3787, 1012, 2138, 5796, 1012, 10856, 3258, 9382, 3478, 2000, 13225, 2014, 4187, 3105, 3787, 1010, 1996, 4034, 12527, 5796, 1012, 10856, 3258, 4621, 2257, 1016, 1010, 2263, 1010, 2077, 2016, 4012, 1011, 20228, 12870, 2094, 2014, 2028, 1011, 2095, 19703, 5649, 2558, 1012, 2006, 2257, 1021, 1010, 2263, 1010, 1996, 2120, 9837, 5126, 2586, 1006, 23961, 13765, 1007, 6406, 1037, 24665, 2666, 21789, 10368, 5796, 1012, 2158, 1011, 9152, 2239, 1521, 1055, 18287, 1012, 2006, 2257, 2756, 1010, 2263, 1010, 5796, 1012, 10856, 3258, 6406, 2019, 5574, 2000, 1996, 2604, 10368, 2014, 8208, 9177, 2008, 2043, 9837, 2128, 20908, 2094, 2014, 1010, 2016, 2001, 1037, 2702, 1011, 24471, 2098, 7904, 1998, 2106, 2025, 2031, 2000, 3143, 1037, 2047, 4013, 3676, 1011, 14841, 7856, 2854, 2558, 1012, 5796, 1012, 10856, 3258, 2036, 3555, 2008, 2014, 1017, 10856, 3258, 1058, 1012, 9837, 18287, 2001, 1996, 2765, 1997, 9147, 2241, 2588, 2014, 23143, 3570, 1010, 2287, 1010, 3348, 1010, 1998, 2004, 2019, 2552, 1997, 16360, 6935, 2389, 1012, 1996, 4243, 3133, 2046, 4093, 7776, 2007, 1996, 5375, 1997, 1996, 3831, 2375, 3648, 1012, 2004, 1037, 2765, 1997, 2122, 7776, 1010, 5796, 1012, 10856, 3258, 3530, 2000, 7392, 2014, 5574, 1012, 1996, 4093, 3820, 7127, 2008, 5796, 1012, 10856, 3258, 3530, 2000, 7392, 2044, 10552, 2007, 2014, 2012, 4263, 1011, 11265, 2100, 1998, 1996, 3831, 3648, 4953, 1523, 1996, 2110, 1997, 1996, 2375, 4953, 19703, 5649, 5126, 1998, 1996, 3132, 5286, 2800, 2000, 4119, 1037, 8208, 1012, 1012, 1012, 1012, 1524, 8909, 1012, 2012, 6273, 1012, 19703, 5649, 5126, 2031, 1037, 3132, 10738, 2157, 1997, 5574, 1010, 2021, 2031, 2053, 15201, 2157, 1997, 5574, 2138, 2027, 2024, 12421, 2013, 1996, 6210, 1997, 1523, 7904, 1524, 2104, 1019, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 4293, 14526, 1006, 1037, 1007, 1006, 1015, 1007, 1006, 1037, 1007, 1012, 2006, 2254, 2756, 1010, 2268, 1010, 2016, 17912, 6780, 2014, 5574, 27081, 2000, 1996, 3408, 1997, 1996, 4093, 3820, 1998, 1996, 3831, 3648, 7219, 5796, 1012, 10856, 3258, 1521, 1055, 5574, 1999, 2019, 3988, 3247, 6052, 2337, 2260, 1010, 2268, 1012, 27081, 2000, 1996, 4093, 3820, 1010, 9837, 3530, 2000, 1010, 6970, 4862, 2050, 1010, 3477, 5796, 1012, 10856, 3258, 1002, 2423, 1010, 2199, 1999, 16214, 1521, 9883, 1998, 3277, 1037, 2047, 3115, 2433, 2753, 1006, 16420, 1011, 2753, 1007, 10842, 1037, 10758, 8172, 1523, 2005, 3167, 4436, 1012, 1524, 1015, 8909, 1012, 2012, 6353, 1012, 5796, 1012, 10856, 3258, 3530, 2000, 1024, 1031, 1058, 1033, 19330, 16671, 8486, 2135, 23701, 3726, 1031, 1033, 2151, 1998, 2035, 2157, 2000, 5371, 1010, 7323, 2030, 5507, 28731, 1999, 2151, 7057, 1010, 2164, 1010, 2021, 2025, 3132, 2000, 1996, 1012, 1012, 1012, 5796, 2361, 2497, 1012, 1012, 1012, 2151, 1998, 2035, 4447, 1997, 2151, 2785, 1010, 3423, 1010, 1041, 28298, 1010, 2030, 4728, 1010, 2029, 2128, 1011, 2397, 2000, 2030, 13368, 2013, 2014, 6107, 2007, 1996, 4034, 10066, 3188, 2000, 1996, 3058, 1997, 2440, 4654, 8586, 2226, 1011, 14841, 2239, 1997, 2023, 3820, 1012, 2023, 23701, 6299, 2950, 2021, 2003, 2025, 3132, 2000, 2151, 4447, 2992, 2030, 2029, 2071, 1015, 2023, 4664, 1997, 1996, 4093, 3820, 3397, 1037, 3154, 5939, 6873, 14773, 2389, 7561, 1998, 2323, 6523, 2000, 3115, 2433, 4720, 1010, 2025, 16420, 1011, 2753, 1012, 10856, 3258, 1058, 1012, 9837, 1018, 2031, 2042, 2992, 8800, 2000, 2014, 8208, 2013, 6107, 1010, 1998, 2151, 4447, 1997, 9147, 1010, 10420, 2147, 4044, 1010, 18695, 1010, 2030, 1996, 2066, 1010, 14223, 2030, 2029, 2071, 2031, 2042, 2992, 8800, 2000, 2014, 8208, 2013, 6107, 1012, 1012, 1012, 1012, 8909, 1012, 2012, 6273, 1011, 6353, 1012, 2006, 2233, 1022, 1010, 2230, 1010, 5796, 1012, 10856, 3258, 6406, 1037, 9964, 2005, 3319, 2007, 1996, 2604, 1012, 1999, 1996, 9964, 1010, 5796, 1012, 10856, 3258, 5275, 2008, 1996, 2604, 2323, 28667, 5644, 18688, 2014, 5574, 1999, 2422, 1997, 2049, 2101, 3247, 1999, 14093, 1058, 1012, 2533, 1997, 1996, 9837, 1010, 12104, 1049, 1012, 1055, 1012, 1052, 1012, 1054, 1012, 5585, 1006, 2268, 1007, 1012, 2138, 5796, 1012, 10856, 3258, 3130, 6780, 2014, 5574, 1010, 1996, 2604, 5845, 5796, 1012, 10856, 3258, 1521, 1055, 9964, 2004, 1037, 5227, 2000, 2128, 26915, 1998, 19222, 12259, 1996, 9633, 5574, 1012, 8909, 1012, 2012, 1021, 1012, 11243, 1996, 1523, 5866, 6214, 1524, 3115, 1010, 1996, 2604, 5837, 5796, 1012, 2158, 1011, 9152, 2239, 1521, 1055, 5227, 2138, 1996, 4093, 3820, 3653, 1011, 18856, 13936, 2128, 26915, 2075, 1998, 19222, 29336, 2075, 1996, 5574, 1012, 8909, 1012, 6594, 2256, 3319, 1997, 1037, 2604, 3247, 2003, 3132, 2011, 11671, 1012, 27081, 2000, 1019, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 29065, 2509, 1010, 2057, 2442, 15770, 1996, 2604, 1521, 1055, 3247, 4983, 2009, 2003, 1024, 1015, 1007, 15275, 1010, 6178, 7277, 6313, 1010, 2019, 6905, 1997, 19258, 1010, 2030, 4728, 2025, 1999, 10388, 2007, 2375, 1025, 1016, 1007, 4663, 2302, 8853, 3223, 2011, 2375, 1010, 3627, 1010, 2030, 7816, 2383, 2042, 2628, 1025, 2030, 1017, 1007, 4895, 6342, 9397, 15613, 2011, 6937, 3350, 1012, 2057, 3319, 1996, 2604, 1521, 1055, 3247, 2000, 2025, 2128, 26915, 2030, 19222, 12259, 2019, 5574, 2005, 2019, 6905, 1997, 5860, 2890, 1011, 14841, 2239, 1012, 2156, 1010, 1041, 1012, 1043, 1012, 1010, 23564, 18938, 1058, 1012, 7857, 25353, 2015, 1012, 4013, 2102, 1012, 1038, 2094, 1012, 1010, 29327, 1042, 1012, 7605, 14989, 2549, 1010, 14989, 2620, 1006, 7349, 1012, 25022, 2099, 1012, 2494, 1007, 1012, 1996, 2604, 2038, 2146, 2218, 2008, 1996, 1523, 10534, 1997, 2019, 5574, 2003, 2019, 2552, 1997, 2345, 3012, 2008, 20362, 1996, 5574, 2013, 1996, 2604, 1521, 1055, 7360, 1010, 1998, 1012, 1012, 1012, 1996, 2604, 2097, 2025, 27788, 1011, 2110, 2019, 5574, 2320, 2009, 2038, 2042, 9633, 1999, 1996, 6438, 1997, 5866, 6214, 2107, 2004, 28616, 2378, 14192, 3370, 2030, 2047, 1019, 10856, 3258, 1058, 1012, 9837, 1998, 3430, 3350, 1012, 1524, 2156, 1010, 1041, 1012, 1043, 1012, 1010, 2829, 1058, 1012, 2139, 2361, 1521, 1056, 1997, 1996, 3212, 1010, 6390, 1049, 1012, 1055, 1012, 1052, 1012, 1054, 1012, 28161, 1010, 3429, 2509, 1011, 5139, 1006, 2727, 1007, 1006, 8951, 14085, 12848, 27893, 1058, 1012, 2139, 2361, 1521, 1056, 1997, 2740, 1004, 2529, 14262, 15088, 1012, 1010, 6191, 1049, 1012, 1055, 1012, 1052, 1012, 1054, 1012, 12457, 1010, 12567, 1006, 2807, 1007, 1025, 11228, 12691, 1058, 1012, 2139, 2361, 1521, 1056, 1997, 1996, 3212, 1010, 4583, 1049, 1012, 1055, 1012, 1052, 1012, 1054, 1012, 4749, 2549, 1010, 4749, 2620, 1006, 2826, 1007, 1007, 1012, 5796, 1012, 10856, 3258, 1010, 2174, 1010, 2106, 2025, 10632, 2014, 5574, 1999, 1037, 11641, 1012, 2612, 1010, 2004, 1037, 4650, 2000, 4093, 1010, 5796, 1012, 10856, 3258, 1523, 6780, 1998, 12527, 2007, 18024, 2014, 5574, 2077, 1996, 5796, 2361, 2497, 1012, 1012, 1012, 1031, 1998, 1033, 17912, 23701, 3726, 1031, 1040, 1033, 2151, 1998, 2035, 2916, 2000, 5371, 1010, 7323, 2030, 5507, 28731, 1999, 2151, 7057, 1010, 2164, 1012, 1012, 1012, 1996, 5796, 2361, 2497, 1012, 1012, 1012, 2151, 1998, 2035, 1524, 1997, 2014, 4447, 2114, 9837, 1012, 24501, 2361, 1521, 1056, 1521, 1055, 10439, 1012, 6273, 1012, 2004, 1996, 2604, 11178, 4340, 1010, 2138, 5796, 1012, 10856, 3258, 16301, 2014, 4447, 2011, 23448, 1996, 4093, 3820, 1010, 2009, 2052, 2022, 24156, 2000, 3499, 5796, 1012, 10856, 3258, 2000, 19222, 12259, 2030, 2128, 26915, 2014, 5574, 1012, 8909, 1012, 2012, 1022, 1012, 5796, 1012, 10856, 3258, 27481, 2015, 2008, 2057, 2323, 2275, 4998, 1996, 4093, 3820, 1010, 2138, 2016, 2787, 2000, 7392, 2044, 4909, 9413, 20793, 3560, 6040, 2013, 1996, 3831, 3648, 1012, 4919, 1010, 5796, 1012, 10856, 3258, 27481, 2015, 2008, 2014, 3247, 2000, 7392, 2001, 2241, 2006, 1996, 3831, 3648, 1521, 1055, 1523, 6270, 11213, 1524, 2008, 2016, 2001, 1037, 19703, 5649, 7904, 1998, 1010, 2947, 1010, 2025, 4709, 2000, 2440, 5574, 2916, 1012, 5796, 1012, 10856, 3258, 27481, 2015, 2008, 1996, 2604, 1521, 1055, 2101, 3173, 1999, 14093, 7127, 2008, 2008, 3831, 3648, 2001, 16542, 1998, 2016, 2001, 1037, 2512, 1011, 19703, 5649, 7904, 2007, 15316, 2895, 5574, 2916, 1012, 5796, 1012, 10856, 3258, 2036, 17248, 2000, 2060, 3350, 1010, 2164, 1996, 2230, 2976, 5073, 2192, 1011, 2338, 1010, 3365, 2231, 11744, 1010, 1998, 2019, 10373, 2013, 2019, 4905, 2016, 5086, 2000, 3319, 2014, 2553, 1010, 2008, 2016, 9530, 1011, 12102, 2490, 2014, 6685, 2008, 2016, 2001, 2025, 1037, 4013, 3676, 1011, 14841, 7856, 2854, 7904, 2012, 1996, 2051, 1997, 2014, 18287, 1012, 2057, 2156, 2053, 3114, 2000, 2275, 4998, 1996, 4093, 5993, 1011, 2273, 2102, 1999, 2422, 1997, 1996, 2604, 1521, 1055, 3247, 1999, 14093, 2030, 2151, 1997, 1996, 2060, 3350, 6563, 2011, 5796, 1012, 10856, 3258, 1012, 1523, 2009, 2003, 2092, 1011, 2511, 2008, 1999, 2344, 2000, 2275, 4998, 1037, 4093, 1010, 2019, 10856, 3258, 1058, 1012, 9837, 1020, 10439, 24178, 2442, 2265, 2008, 1996, 3820, 2003, 22300, 1010, 2001, 26097, 1010, 2030, 2001, 1996, 2765, 1997, 9861, 2030, 8203, 28616, 1011, 2202, 1012, 1524, 27599, 1058, 1012, 2139, 2361, 1521, 1056, 1997, 2740, 1004, 2529, 14262, 15088, 1012, 1010, 22777, 1042, 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, 4955, 1063, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 10819, 1011, 2199, 2629, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 5519, 2019, 17577, 1011, 1011, 26572, 5666, 10760, 10092, 5537, 1006, 25316, 1007, 2003, 1037, 10768, 3406, 7959, 9080, 9099, 20523, 8715, 1999, 18847, 9905, 14772, 2594, 8178, 1010, 1999, 2029, 11888, 5658, 6970, 2102, 10105, 2668, 9099, 20523, 2083, 15718, 21225, 2173, 15758, 9617, 16033, 15530, 2229, 5260, 2000, 2312, 19610, 8649, 4135, 8428, 5966, 2090, 15009, 1998, 7799, 1010, 2302, 5751, 1997, 5519, 19330, 14031, 10536, 7265, 2213, 27678, 2015, 1011, 1011, 26572, 10536, 7265, 2213, 27678, 2015, 5537, 1031, 1015, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1012, 25316, 5158, 27491, 1999, 1016, 1011, 1011, 1019, 1003, 1997, 1996, 18847, 9905, 14772, 2594, 5519, 3653, 28207, 9243, 1998, 11791, 1999, 1017, 1011, 1011, 2385, 1003, 1997, 8178, 2007, 5519, 1011, 1011, 5519, 9099, 20523, 8715, 1006, 23746, 3215, 1007, 2044, 10768, 13122, 26461, 9138, 5970, 1010, 2004, 1037, 2765, 1997, 1996, 3739, 1997, 2235, 21961, 9617, 16033, 15530, 2229, 1031, 1016, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1017, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2509, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1018, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2549, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1019, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2629, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1012, 14405, 8189, 9080, 11616, 1997, 25316, 2003, 2747, 2241, 2006, 12532, 26992, 2102, 2690, 18439, 16749, 1006, 22432, 1007, 4672, 25353, 16033, 10415, 10146, 1006, 8827, 2615, 1007, 2079, 9397, 3917, 11702, 1012, 2000, 6709, 25316, 2077, 4182, 1010, 1996, 2206, 22432, 1513, 8827, 2615, 3013, 1513, 2125, 5300, 2031, 2042, 3818, 1024, 1032, 1028, 1015, 1012, 1019, 3674, 2015, 1997, 1996, 3991, 1006, 3566, 1007, 1999, 1996, 15009, 5519, 1010, 6592, 3512, 1997, 25972, 2019, 17577, 1010, 1998, 22432, 1513, 8827, 2615, 1032, 1026, 1015, 1012, 1014, 3566, 1999, 1996, 7799, 1010, 8131, 25972, 26572, 5666, 10760, 10092, 1031, 1020, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2575, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1021, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2581, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1012, 3728, 1010, 1996, 16014, 3512, 3643, 1998, 6612, 6179, 2791, 1997, 1996, 2896, 3013, 1513, 2125, 2504, 2005, 26572, 5666, 10760, 10092, 2001, 8781, 1999, 1037, 2817, 2011, 3869, 2884, 1513, 12075, 2389, 1008, 3802, 2632, 1008, 1012, 1031, 1022, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2620, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 2029, 3936, 2008, 18847, 9905, 14772, 2594, 8178, 11441, 2007, 26572, 5666, 10760, 10092, 2012, 4182, 2411, 3662, 22432, 1513, 8827, 2615, 5300, 1032, 1028, 1015, 1012, 1014, 3566, 3188, 2000, 6959, 1012, 1999, 1996, 2168, 2817, 1010, 1996, 7160, 22432, 1513, 8827, 2615, 23900, 6118, 2007, 1996, 6970, 2102, 10105, 19610, 10610, 26775, 4183, 4489, 1998, 2001, 2947, 3818, 2004, 1037, 2488, 17245, 2005, 1996, 14405, 8189, 9080, 10788, 1997, 25316, 1031, 1022, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2620, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1012, 2174, 1010, 1996, 2817, 5031, 1997, 2069, 3157, 25316, 3572, 1010, 20655, 1996, 2342, 2005, 3176, 2913, 2007, 1037, 3469, 2313, 2000, 8556, 1996, 4022, 3643, 1997, 2023, 4522, 14405, 8189, 9080, 16474, 19229, 2005, 25316, 1012, 2023, 2817, 4520, 2041, 2000, 16157, 1996, 16474, 10640, 1997, 7160, 22432, 1513, 8827, 2615, 1032, 1028, 1014, 1012, 1019, 3566, 1998, 2000, 12826, 2049, 16014, 3512, 3643, 2000, 2008, 1997, 1996, 4964, 3013, 1513, 2125, 5300, 1997, 22432, 1513, 8827, 2615, 1006, 1032, 1026, 1015, 1012, 1014, 3566, 1999, 1996, 7799, 1998, 1032, 1028, 1015, 1012, 1019, 3566, 1999, 1996, 15009, 1007, 2109, 2747, 2005, 1996, 10788, 1997, 25316, 1999, 18847, 9905, 14772, 2594, 5519, 10032, 1012, 4725, 1063, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 10819, 1011, 2199, 2575, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2023, 2001, 1037, 15354, 2817, 1997, 2035, 5486, 4895, 9006, 24759, 17872, 18847, 9905, 14772, 2594, 22939, 2213, 27678, 4588, 5519, 7689, 1998, 18847, 9905, 14772, 2594, 8178, 2007, 25316, 11441, 2695, 19833, 3973, 1010, 3266, 2090, 2494, 1998, 2418, 1999, 1996, 3803, 2120, 6523, 7941, 2415, 2005, 25972, 7242, 1012, 3572, 1999, 2029, 22432, 1513, 8827, 2615, 27312, 2079, 9397, 3917, 11702, 2020, 2864, 1999, 2119, 10768, 5809, 2229, 2306, 1015, 2733, 3188, 2000, 6959, 2020, 2641, 7792, 2005, 4106, 1012, 1996, 2695, 19833, 2389, 11616, 1997, 25316, 2001, 2241, 2006, 2019, 6970, 2102, 10105, 19610, 8649, 4135, 8428, 4489, 1032, 1028, 1022, 1043, 1013, 21469, 1998, 2012, 2560, 2028, 1997, 1996, 2206, 1024, 2128, 4588, 18845, 5666, 2618, 4175, 6463, 1032, 1028, 1015, 1012, 1021, 2030, 1996, 3739, 1997, 15718, 21225, 9617, 16033, 15530, 2229, 1006, 6705, 1032, 1026, 1015, 1012, 1014, 3461, 1007, 2006, 1996, 2173, 15758, 3302, 1010, 11156, 2083, 2173, 15758, 3609, 18554, 13341, 1031, 1023, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 2199, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1012, 2144, 1037, 2312, 4489, 1999, 19610, 8649, 4135, 8428, 3798, 2003, 6827, 2005, 1996, 2695, 19833, 2389, 11616, 1997, 25316, 1010, 2035, 3572, 2007, 12958, 2695, 19833, 2389, 19610, 8649, 4135, 8428, 5300, 2020, 12421, 2013, 2023, 2817, 1012, 22432, 1513, 8827, 2615, 5300, 2020, 4663, 15354, 2135, 2013, 27885, 13473, 12412, 2636, 1012, 22432, 1513, 8827, 2615, 2001, 7594, 2429, 2000, 1996, 6028, 2649, 2011, 16266, 1008, 3802, 2632, 1008, 1012, 1031, 2184, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 25604, 2692, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1012, 1996, 4431, 8483, 2005, 18847, 9905, 14772, 2594, 22939, 2213, 27678, 4588, 5519, 10032, 2405, 2011, 1047, 8017, 12762, 2818, 1008, 3802, 2632, 1008, 1012, 1031, 2340, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 25604, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 2020, 2109, 2000, 10463, 22432, 1513, 8827, 2615, 5300, 1006, 4642, 1013, 1055, 1007, 2000, 3566, 1012, 2043, 8178, 14872, 2119, 3013, 1513, 2125, 5300, 2005, 25316, 1010, 1045, 1012, 1041, 1012, 1032, 1028, 1015, 1012, 1019, 3566, 1999, 2028, 5519, 1998, 1032, 1026, 1015, 1012, 1014, 3566, 1999, 1996, 26046, 10105, 1010, 2023, 2001, 2315, 1037, 3013, 1513, 2125, 22432, 1513, 8827, 2615, 11616, 1012, 2043, 2045, 2001, 2019, 6970, 2102, 10105, 4489, 1999, 22432, 1513, 8827, 2615, 1032, 1028, 1014, 1012, 1019, 3566, 1010, 1996, 2744, 7160, 22432, 1513, 8827, 2615, 1032, 1028, 1014, 1012, 1019, 3566, 11616, 2001, 2109, 1012, 1996, 2206, 27885, 13473, 12412, 1010, 25972, 1998, 16231, 27815, 2951, 2020, 5067, 2013, 2256, 7809, 1024, 16216, 20100, 2389, 2287, 2012, 4182, 1010, 14405, 8189, 9080, 25972, 8830, 1010, 12407, 1997, 25316, 2006, 27312, 1010, 2828, 1997, 25316, 1006, 17630, 2030, 2695, 1513, 9138, 1007, 1010, 21864, 10111, 3217, 2754, 1997, 23746, 3215, 11003, 2695, 1513, 9138, 25316, 1010, 5549, 1997, 6959, 1010, 4182, 3635, 1010, 2695, 19833, 2389, 19610, 8649, 4135, 8428, 5300, 1010, 2695, 19833, 2389, 8830, 1010, 5729, 16231, 27815, 22822, 17062, 6447, 1998, 16231, 27815, 13356, 1012, 15316, 9560, 2001, 4225, 2004, 2593, 16231, 27815, 13356, 2030, 5729, 16231, 27815, 22822, 17062, 3012, 1012, 5729, 16231, 27815, 22822, 17062, 3012, 2443, 2012, 2560, 2028, 1997, 1996, 2206, 1024, 16464, 12893, 8715, 9034, 6228, 19536, 2030, 14175, 18908, 4630, 1010, 26785, 21709, 6026, 4607, 24163, 15909, 2483, 2754, 1016, 2030, 3020, 1010, 7353, 23245, 2271, 16185, 9488, 13203, 9034, 2966, 7242, 2030, 11707, 8503, 1010, 5729, 18439, 4544, 1006, 2012, 2560, 2028, 1997, 1996, 2206, 1024, 26721, 15338, 7277, 7934, 19610, 2953, 25032, 4270, 3694, 1017, 2030, 3020, 1010, 22330, 10074, 2566, 3512, 3372, 7277, 7934, 3393, 6968, 9626, 2721, 7405, 3694, 1016, 2030, 3020, 1010, 18834, 7277, 7934, 29454, 3370, 1032, 1028, 5989, 1034, 16215, 1034, 3867, 9463, 2030, 18499, 10127, 21890, 10415, 2030, 11968, 2368, 11714, 9067, 22330, 12837, 1007, 2030, 5729, 2019, 17577, 2030, 26572, 5666, 10760, 10092, 9034, 2668, 9099, 20523, 2030, 7704, 3863, 9099, 20523, 1006, 9004, 1007, 1010, 4414, 1010, 2306, 2484, 1044, 2044, 4182, 1012, 7778, 4106, 2001, 2864, 2478, 11867, 4757, 2544, 2603, 1012, 1014, 1006, 9980, 1010, 2849, 2239, 2243, 1010, 6396, 1010, 3915, 1007, 1012, 2951, 2024, 2988, 2004, 3991, 1998, 6970, 16211, 28228, 2571, 2846, 1006, 26264, 2099, 1007, 1012, 14639, 1010, 3563, 3012, 1010, 3893, 16014, 3512, 3643, 1010, 4997, 16014, 3512, 3643, 1010, 3893, 16593, 6463, 1998, 4997, 16593, 6463, 2020, 10174, 2478, 1016, 1095, 1016, 7251, 1998, 3115, 5675, 2063, 2005, 8026, 20936, 12032, 19173, 1012, 4267, 1032, 1005, 1055, 13483, 4118, 2001, 2109, 2000, 18422, 1996, 5345, 1003, 25022, 1031, 2260, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 12170, 2497, 1011, 25604, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1012, 2177, 5966, 1997, 7142, 10857, 2020, 4102, 2478, 1996, 10856, 1011, 1011, 9809, 1008, 1057, 1008, 1513, 3231, 1012, 1996, 9610, 1513, 2675, 3231, 2001, 2109, 2000, 18422, 5966, 1999, 19173, 1012, 12341, 2386, 1032, 1005, 1055, 16902, 19064, 2001, 2109, 2000, 5468, 1996, 16902, 2090, 7160, 22432, 1513, 8827, 2615, 1998, 6970, 2102, 10105, 19610, 8649, 4135, 8428, 4489, 1012, 2035, 16478, 2566, 10768, 5809, 2030, 16231, 3686, 2020, 2864, 2478, 1996, 18960, 4358, 8522, 11336, 2000, 4070, 2005, 1996, 2755, 2008, 9420, 2090, 26046, 10105, 2015, 2024, 2025, 2981, 1012, 1037, 1008, 1052, 1008, 1513, 3643, 1032, 1026, 1014, 1012, 5709, 2001, 2641, 7778, 2135, 3278, 1012, 3463, 1063, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 10819, 1011, 2199, 2581, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1037, 2561, 1997, 3429, 4895, 9006, 24759, 17872, 18847, 9905, 14772, 2594, 5519, 3653, 28207, 9243, 1998, 3486, 5519, 7689, 11441, 2695, 19833, 3973, 2007, 25316, 2020, 2443, 1999, 2023, 2817, 1012, 3275, 1031, 1015, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 20965, 1011, 2199, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 3065, 1996, 29280, 1997, 1996, 2817, 2313, 1012, 1999, 2561, 1010, 18677, 4895, 9006, 24759, 17872, 18847, 9905, 14772, 2594, 5519, 3653, 28207, 9243, 1998, 4229, 5519, 3653, 28207, 9243, 2007, 25316, 2020, 12421, 2349, 2000, 4394, 2030, 12958, 22432, 1513, 8827, 2615, 2636, 2306, 1015, 2733, 3188, 2000, 6959, 1012, 26163, 6459, 1997, 2119, 2967, 2024, 3591, 1999, 2795, 1031, 1015, 1033, 1006, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 26419, 2140, 1011, 2199, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 4102, 2007, 4895, 9006, 24759, 17872, 18847, 9905, 14772, 2594, 8178, 1010, 25316, 8178, 2020, 5359, 2062, 4703, 3081, 26708, 2319, 2930, 1010, 3662, 1037, 2896, 16216, 20100, 2389, 2287, 2012, 4182, 1998, 2020, 7356, 2011, 1037, 3469, 6970, 2102, 10105, 4489, 1999, 19610, 8649, 4135, 8428, 2504, 1998, 4182, 3635, 1012, 999, 1031, 4834, 7507, 5339, 4760, 29280, 1997, 2817, 2313, 5398, 1997, 4895, 9006, 24759, 17872, 18847, 9905, 14772, 2594, 1006, 11338, 1007, 5519, 3653, 28207, 9243, 1006, 7711, 1007, 1998, 8178, 11441, 2695, 19833, 3973, 2007, 5519, 2019, 17577, 1011, 1011, 26572, 5666, 10760, 10092, 5537, 1006, 25316, 1007, 1012, 1032, 1008, 2306, 1015, 2733, 3188, 2000, 6959, 1012, 1044, 2497, 1010, 19610, 8649, 4135, 8428, 1025, 22432, 1513, 8827, 2615, 1010, 2690, 18439, 16749, 4672, 25353, 16033, 10415, 10146, 1012, 1033, 1006, 1057, 8649, 1011, 5187, 1011, 6275, 2620, 1011, 1043, 8889, 2487, 1007, 1063, 1001, 1057, 8649, 28332, 2683, 2575, 1011, 20965, 1011, 2199, 2487, 1065, 1001, 1001, 1001, 1001, 1001, 1001, 26163, 6459, 1997, 4895, 9006, 24759, 17872, 18847, 9905, 14772, 2594, 5519, 3653, 28207, 9243, 1006, 7711, 1007, 1998, 3653, 28207, 9243, 11441, 2695, 19833, 3973, 2007, 5519, 2019, 17577, 1011, 1011, 26572, 5666, 10760 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2292, 1521, 1055, 2831, 2055, 1024, 2197, 2305, 1521, 1055, 5065, 1998, 1996, 17278, 2884, 1999, 12893, 3375, 2216, 2024, 2048, 15672, 1045, 3685, 3233, 1012, 2053, 2028, 4122, 2000, 2131, 3480, 1998, 3262, 3071, 2038, 1012, 4241, 2232, 1012, 2008, 2987, 1521, 1056, 2812, 2017, 2064, 2224, 2216, 15672, 2004, 21917, 2025, 2000, 2131, 2485, 2000, 2619, 1010, 2005, 3086, 1998, 1013, 2030, 2000, 2552, 2066, 1037, 12181, 1998, 2025, 2031, 2000, 12134, 2005, 2009, 1012, 2216, 2048, 15672, 2069, 21089, 20223, 8404, 1012, 2006, 1996, 5065, 2197, 2305, 1010, 9321, 1044, 1012, 2018, 2350, 4390, 3098, 2039, 2000, 8226, 1998, 10739, 2151, 1998, 2035, 3980, 2002, 2001, 4851, 2055, 2037, 2825, 2925, 2362, 1012, 2016, 2217, 1011, 3706, 2068, 2066, 1037, 24782, 1998, 2253, 2067, 2000, 5983, 2014, 4596, 2004, 2065, 2498, 2001, 6230, 1012, 16047, 1010, 8226, 2347, 1521, 1056, 5599, 2014, 2125, 1996, 8103, 1998, 2043, 2002, 4508, 2006, 2055, 2339, 2016, 2001, 9992, 2010, 3980, 1010, 2016, 2633, 5838, 2007, 1010, 1523, 1045, 3984, 1045, 1521, 1049, 2074, 8650, 2870, 1012, 1524, 20342, 1012, 1999, 2613, 2166, 1010, 2057, 1521, 2128, 2025, 2004, 4876, 6637, 2007, 2500, 2005, 1996, 2540, 1997, 2256, 1523, 2028, 2995, 2293, 1012, 1524, 2065, 2017, 2024, 1010, 2009, 1521, 1055, 2138, 2017, 1521, 2128, 1999, 2152, 2082, 1012, 2021, 1010, 2004, 2521, 2004, 1996, 2265, 3632, 1010, 2043, 2017, 1521, 2128, 2028, 1997, 1996, 2093, 3588, 2308, 1010, 2009, 1521, 1055, 1037, 2210, 1006, 2843, 1007, 2397, 2000, 2224, 2008, 2240, 1997, 18667, 1012, 2009, 1521, 1055, 3294, 11701, 1517, 1998, 2471, 4535, 1517, 2000, 2224, 2009, 1999, 1996, 2927, 1997, 1996, 2265, 2043, 2017, 1521, 2128, 2028, 1997, 2116, 2308, 1012, 2021, 2059, 1996, 5065, 1010, 2066, 1037, 5000, 1999, 9716, 8177, 1010, 7807, 2083, 1996, 2813, 1010, 4324, 1037, 6099, 1999, 2392, 1997, 1996, 4189, 10494, 1998, 14306, 2015, 2014, 2016, 1521, 2222, 2196, 2131, 3480, 2153, 1012, 1996, 4189, 10494, 2059, 7480, 2039, 3294, 2000, 1996, 5065, 1013, 5000, 2004, 2065, 2016, 2005, 3995, 2229, 2151, 2801, 2030, 3571, 2016, 1521, 2222, 2022, 2741, 14743, 1517, 1998, 2027, 2444, 11361, 2412, 2044, 2127, 1996, 2265, 2003, 2058, 1012, 2065, 2111, 2024, 2583, 2000, 2079, 2008, 2005, 1037, 2694, 2265, 1010, 3251, 2027, 1521, 2128, 6904, 6834, 2009, 2030, 2025, 1010, 2339, 2064, 1521, 1056, 2057, 2079, 2008, 1999, 2613, 2166, 1029, 2000, 2033, 1010, 2045, 2003, 2498, 8702, 1010, 2203, 27242, 2030, 5875, 2055, 2619, 2040, 2758, 2027, 2031, 1037, 2813, 2039, 1010, 2031, 2042, 5296, 1999, 1996, 2627, 1998, 2123, 1521, 1056, 2215, 2000, 2131, 3480, 2153, 1012, 1045, 2228, 1010, 1523, 7929, 1012, 2059, 1045, 1521, 2222, 2994, 2185, 1012, 1524, 2009, 1521, 1055, 20220, 1010, 5810, 1998, 3722, 1012, 1045, 1521, 1040, 2191, 1037, 6659, 5000, 1012, 1052, 1012, 1055, 1012, 2044, 3666, 2197, 2305, 1010, 1045, 2428, 1010, 2428, 2215, 2000, 2175, 2000, 2148, 3088, 1012, 8282, 21368, 2906, 2676, 10960, 1045, 2354, 13402, 2135, 2052, 2175, 1010, 2027, 2024, 2025, 2006, 1996, 2168, 3931, 2012, 2035, 1010, 1045, 2123, 1521, 1056, 2228, 2044, 2197, 2305, 2027, 2024, 2025, 2130, 3752, 1996, 2168, 2338, 1012, 1045, 2056, 2013, 1996, 2927, 2049, 16883, 2884, 1998, 6253, 1998, 1045, 2293, 6253, 999, 2148, 3088, 3504, 3376, 999, 999, 1045, 3866, 1996, 3392, 2160, 1010, 2129, 4658, 2052, 2008, 2022, 999, 2033, 2205, 999, 1996, 2190, 2112, 1997, 1996, 2792, 2197, 2305, 2001, 3773, 2148, 3088, 1012, 2008, 1521, 1055, 3492, 2172, 1996, 2069, 3114, 1045, 2921, 2009, 2006, 1012, 2004, 2005, 9321, 1010, 2205, 2210, 2126, 2100, 2100, 2100, 2205, 2397, 1012, 1045, 2812, 1010, 2054, 2106, 2016, 5987, 1029, 2009, 1521, 1055, 2025, 2066, 2016, 2001, 1996, 2069, 2028, 2045, 1010, 1997, 2607, 2016, 2001, 2183, 2000, 2031, 2000, 2330, 2039, 2000, 2130, 2022, 2641, 2005, 1996, 2327, 1016, 1012, 6135, 2014, 6346, 1012, 6854, 1010, 9321, 2003, 2183, 2000, 2022, 2894, 2127, 2016, 10919, 2108, 4452, 2030, 2383, 1996, 2813, 2003, 2025, 5094, 1012, 2116, 2111, 2031, 2023, 3291, 3294, 2108, 2330, 2000, 2178, 1998, 11504, 2049, 2242, 2057, 2035, 2131, 2058, 2776, 1998, 2444, 2166, 1998, 6550, 2000, 1996, 2440, 4355, 1012, 1045, 1521, 1049, 6069, 2175, 1037, 2367, 2126, 1998, 2360, 2008, 1045, 2228, 9321, 2003, 1996, 2069, 2028, 2108, 12689, 1998, 2025, 2074, 25734, 3038, 1523, 1045, 2572, 5621, 4634, 1999, 2293, 2007, 2017, 1010, 8226, 1524, 2066, 1996, 5896, 4455, 2005, 1012, 2016, 1521, 1055, 2074, 2025, 2469, 2065, 2016, 4122, 2000, 2039, 3217, 4140, 2014, 2166, 2000, 2022, 2007, 8226, 1012, 2016, 5121, 2071, 2031, 5228, 2841, 2488, 2084, 2016, 2106, 1010, 2021, 2428, 1010, 2040, 2064, 2360, 2007, 15855, 2008, 2027, 2024, 3110, 2531, 1003, 3201, 2000, 2191, 2023, 11679, 1012, 1045, 2245, 2016, 2001, 2667, 2000, 2360, 2008, 2016, 2003, 1523, 2330, 1524, 2000, 26811, 2021, 2016, 3791, 2000, 2156, 2073, 2023, 3276, 2003, 2183, 2000, 2175, 2077, 2016, 2064, 2110, 1010, 1523, 2748, 1010, 1045, 2215, 2000, 2693, 2000, 5899, 999, 1524, 2016, 3544, 2000, 2031, 2018, 1037, 3144, 1010, 21570, 2166, 2077, 2023, 2265, 1998, 2009, 2052, 2202, 1037, 2843, 2000, 2191, 2014, 2681, 2035, 2008, 2369, 1998, 2693, 2000, 5899, 1012, 3752, 2090, 1996, 3210, 2085, 1529, 2016, 3849, 2000, 2031, 2070, 7073, 2008, 2023, 2003, 2035, 4895, 22852, 6553, 5913, 2455, 1998, 2205, 2220, 2000, 2425, 2065, 2009, 1521, 1055, 4276, 5278, 2014, 2878, 2166, 2005, 1012, 1045, 2228, 2008, 1521, 1055, 2019, 4498, 2062, 12689, 2126, 1997, 3241, 999, 10047, 2080, 1010, 1996, 3588, 1017, 1006, 2085, 1016, 1007, 2024, 2035, 2205, 2204, 2005, 8226, 999, 2053, 6180, 2012, 2035, 999, 2515, 1996, 2611, 2006, 1996, 2521, 2157, 1997, 1996, 4132, 2298, 2066, 2016, 2593, 2038, 2019, 2009, 2818, 2030, 2288, 19280, 2011, 1037, 10506, 1999, 1996, 6302, 1029, 1029, 1029, 2016, 1006, 2027, 2035, 1007, 2772, 2039, 2000, 2022, 2006, 1037, 4507, 2265, 2000, 2672, 2424, 2037, 3129, 1010, 2672, 2991, 1999, 2293, 1529, 1012, 1998, 2027, 2024, 6069, 2377, 1996, 1045, 2123, 1521, 1056, 10587, 2131, 3480, 4003, 1029, 1029, 1029, 20342, 1529, 1012, 1012, 4983, 2014, 5913, 3058, 2134, 1521, 1056, 2175, 2061, 2092, 1029, 1029, 1029, 2106, 8226, 2031, 2000, 2655, 2010, 19294, 1029, 1029, 1029, 1029, 2129, 15703, 2003, 2009, 2008, 8226, 2758, 1523, 2023, 2003, 1996, 2087, 3376, 2173, 1999, 1996, 2088, 1524, 2169, 2733, 1029, 999, 1029, 2123, 1521, 1056, 2131, 2033, 3308, 1516, 1037, 4440, 2000, 2148, 3088, 2003, 5791, 2006, 2026, 3604, 4299, 2862, 1010, 2021, 2428, 1029, 2169, 2733, 2002, 2758, 1996, 2168, 1012, 4365, 1012, 2518, 999, 8282, 1010, 1045, 2293, 2115, 4301, 2006, 2023, 1012, 1012, 2017, 2024, 2061, 2157, 2006, 2061, 2116, 3798, 1012, 2009, 2081, 2033, 2228, 1996, 2279, 2051, 2619, 4136, 2033, 2027, 2031, 1037, 2813, 2039, 2030, 2123, 2102, 2215, 2000, 2131, 3480, 2153, 2000, 5382, 2009, 2003, 20220, 1012, 20220, 1045, 2123, 2102, 2342, 1012, 8282, 1010, 1045, 5993, 2007, 2017, 2055, 1523, 1045, 2123, 1521, 1056, 2215, 2000, 2131, 3480, 1524, 1998, 1523, 1045, 2031, 1037, 2813, 2039, 1524, 2138, 2009, 2515, 17279, 20220, 1010, 2021, 1037, 2843, 1997, 2111, 2224, 2216, 3210, 2035, 1996, 2051, 1012, 1045, 2428, 2228, 2049, 1037, 13675, 7432, 1997, 18667, 1998, 2111, 2428, 2342, 2000, 2644, 2652, 18667, 2399, 1999, 1996, 5306, 2088, 1012, 2008, 2015, 2157, 2158, 13375, 1010, 2293, 2003, 1037, 3891, 1010, 1998, 2065, 2017, 2123, 2102, 2202, 10831, 2017, 2180, 2102, 2424, 2613, 2293, 999, 2017, 2064, 2102, 2491, 2009, 2053, 3043, 2129, 2524, 2017, 3046, 999, 2017, 2064, 2102, 6133, 2009, 1010, 2030, 2130, 2031, 1037, 12438, 2000, 2424, 2009, 999, 2293, 2003, 3891, 1010, 2049, 2055, 2635, 1037, 3382, 999, 1998, 2823, 2017, 2079, 2031, 2000, 2330, 2039, 999, 2000, 2033, 1010, 2009, 1521, 1055, 5525, 2183, 2000, 2022, 16883, 2884, 1523, 3045, 1524, 1996, 19154, 1012, 8226, 4900, 1996, 3308, 3057, 2000, 3288, 2000, 1996, 2203, 1012, 1999, 2026, 5448, 1010, 8226, 2145, 4122, 2000, 2283, 1010, 3328, 1996, 2417, 27997, 1010, 3604, 1010, 4385, 1529, 16883, 2884, 2003, 1996, 2028, 2002, 2064, 2079, 2216, 2477, 2007, 1012, 1045, 2113, 2002, 2056, 4728, 1010, 2021, 1045, 2123, 1521, 1056, 2903, 1010, 2028, 2978, 1013, 2025, 2012, 2035, 1010, 2008, 2002, 1521, 1055, 3201, 2000, 2022, 1037, 3357, 14697, 1529, 2061, 1010, 9061, 9061, 6253, 1012, 2036, 1010, 1045, 2228, 1996, 2265, 2003, 4285, 1010, 2030, 2584, 2197, 2305, 1010, 4895, 18866, 3085, 3570, 1012, 1045, 6135, 5993, 2007, 2053, 1012, 1018, 1006, 2026, 2102, 12155, 13013, 2015, 1007, 1012, 2036, 1010, 1045, 2228, 8226, 2038, 2019, 2041, 1011, 1997, 1011, 26351, 2232, 3291, 1012, 2002, 2758, 2477, 2066, 1010, 1045, 2428, 2293, 3773, 2017, 2021, 2002, 2003, 2025, 2559, 2012, 1996, 2711, 2043, 2002, 2758, 2009, 1012, 6881, 999, 1045, 2785, 1997, 2514, 3374, 2005, 2032, 1012, 1045, 2066, 8226, 2021, 1045, 2228, 2002, 1521, 1055, 1037, 6752, 1998, 1045, 2228, 2057, 4033, 1521, 1056, 2464, 1996, 2613, 8226, 1012, 2339, 2079, 1045, 2360, 2023, 1029, 2043, 8226, 7566, 2009, 4165, 2066, 2002, 3752, 1037, 2775, 2015, 2338, 2000, 2336, 1012, 2017, 2113, 1010, 3962, 5598, 2058, 8833, 1012, 1999, 2026, 5448, 1010, 9321, 8271, 2039, 2013, 2023, 5913, 2016, 2001, 1999, 1998, 3651, 2011, 8226, 2015, 11242, 2008, 2016, 2428, 2134, 1521, 1056, 4792, 1037, 3276, 2007, 8226, 2065, 2009, 3214, 2975, 2014, 2155, 1998, 2814, 1011, 2008, 1521, 1055, 2339, 2016, 2481, 1521, 1056, 3437, 2010, 3160, 1012, 2017, 9741, 9321, 12447, 2039, 2000, 2054, 8226, 2001, 2045, 2005, 1012, 1037, 2564, 2000, 2202, 2067, 2000, 5899, 1012, 1045, 2245, 6253, 2001, 2183, 2000, 2175, 2188, 2197, 2305, 1010, 1998, 2059, 2009, 2052, 2022, 16883, 2389, 1998, 9321, 1044, 1012, 1999, 1996, 2345, 2792, 1012, 2085, 2008, 1045, 2228, 2055, 2009, 1010, 2002, 2038, 2985, 1037, 2843, 1997, 4469, 2051, 2007, 6253, 1998, 1045, 2064, 2425, 2002, 2428, 7777, 2014, 1012, 1045, 2245, 2009, 2001, 12873, 2008, 2002, 2001, 4452, 2000, 3610, 6253, 2096, 11184, 2001, 8721, 2183, 2000, 2793, 1012, 2092, 1010, 8226, 1010, 2065, 2017, 4060, 6253, 1010, 11184, 2003, 2196, 2183, 2000, 2681, 1998, 2097, 2467, 2022, 8721, 2005, 2793, 1010, 2157, 1029, 7929, 1010, 1045, 3427, 1996, 2345, 1017, 2265, 2077, 10282, 2197, 2305, 1529, 1012, 1012, 2026, 5448, 2241, 2006, 1523, 3504, 1524, 2085, 2003, 13366, 1012, 6253, 1012, 16883, 2389, 29421, 2032, 10047, 2080, 1010, 1045, 2228, 8226, 2003, 28028, 2011, 2014, 3754, 2000, 2360, 2009, 2066, 2009, 2003, 1012, 2044, 3666, 2010, 4512, 2007, 6253, 1010, 2073, 2016, 2056, 2016, 2003, 4634, 1999, 2293, 2007, 2032, 1010, 2002, 8509, 2010, 2132, 2091, 1998, 2059, 2002, 2056, 1010, 1523, 1045, 2123, 1521, 1056, 2729, 2021, 1045, 2031, 2000, 6869, 1524, 1998, 2360, 2002, 2003, 4634, 1999, 2293, 2007, 2014, 1529, 1045, 1521, 1040, 2022, 5627, 2000, 6655, 6265, 2007, 3087, 2008, 6253, 2003, 2040, 2002, 11214, 1529, 1996, 5065, 1013, 3802, 2618, 2196, 7657, 2010, 2030, 5106, 5346, 1999, 2151, 3188, 2265, 2077, 1996, 2345, 3123, 5103, 1012, 2010, 4668, 2000, 2014, 4129, 2032, 2008, 2001, 2062, 1997, 1037, 2298, 1997, 4335, 2030, 16058, 3038, 2748, 2016, 2003, 4634, 2005, 2033, 1529, 1012, 2066, 1045, 2056, 1529, 2052, 2022, 5627, 2000, 6655, 1037, 6265, 2006, 2009, 999, 999, 100, 1045, 2001, 7082, 2100, 6403, 2290, 2026, 5448, 2197, 2733, 1010, 3038, 16883, 2389, 2001, 1996, 2087, 8702, 1010, 2006, 1996, 27263, 1012, 2915, 2017, 6866, 1997, 1996, 1017, 14891, 2015, 1529, 1012, 1012, 2044, 3666, 1006, 2633, 1007, 2000, 2156, 2054, 1045, 2245, 8273, 4140, 1996, 3057, 1010, 1045, 2228, 7861, 2003, 1996, 2087, 8702, 4089, 2058, 16883, 2389, 1998, 1996, 2280, 10832, 6683, 1529, 2310, 19755, 21418, 14900, 2030, 2025, 1529, 1012, 1012, 2036, 1010, 3666, 2008, 23591, 2007, 16883, 2389, 2081, 2033, 2215, 2000, 2175, 2000, 4111, 2983, 1010, 7105, 1996, 3392, 1997, 2166, 1998, 2377, 21934, 3676, 1529, 1529, 1012, 100, 2026, 1016, 16653, 1027, 1045, 2066, 2119, 16883, 2884, 1998, 6253, 1012, 16883, 2884, 2003, 2062, 2330, 1998, 3849, 2066, 2016, 1521, 1040, 2022, 4569, 2000, 2022, 2105, 1012, 2016, 1521, 1055, 17630, 1998, 2987, 1521, 1056, 2031, 2151, 3291, 4129, 2032, 2054, 2016, 6732, 1012, 6253, 2003, 2200, 2878, 14045, 1012, 2016, 1521, 1055, 2200, 4086, 1998, 4251, 1006, 2065, 1045, 2657, 2014, 2360, 1523, 2821, 2026, 2175, 4095, 1524, 1523, 2821, 2026, 17223, 1524, 2028, 2062, 2051, 1045, 2001, 2183, 2000, 6978, 999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6631, 2003, 11922, 999, 16832, 2620, 6661, 2004, 1037, 2440, 1011, 2051, 20174, 1010, 2823, 2009, 4150, 2117, 1011, 3267, 2000, 6523, 2000, 1037, 2173, 2004, 3376, 1010, 14726, 2030, 3432, 1996, 2190, 2173, 2017, 1521, 2310, 2412, 2042, 1012, 1045, 2113, 1045, 1521, 1049, 5186, 5905, 1997, 2023, 1012, 1045, 2293, 7249, 1012, 2021, 2044, 1037, 2096, 12212, 12586, 2362, 1010, 3007, 3655, 14819, 2046, 2028, 1010, 1998, 2009, 4150, 2524, 2000, 10782, 2028, 2173, 2013, 2178, 1999, 2256, 5758, 1012, 2054, 3084, 1037, 2406, 2569, 1029, 1997, 2035, 1996, 3182, 1045, 1521, 2310, 2042, 19590, 2438, 2000, 3913, 2159, 2006, 1010, 10399, 2038, 2000, 2022, 2028, 1997, 1996, 2087, 13432, 1012, 2339, 1029, 2013, 2049, 19996, 5957, 2000, 10636, 2100, 13697, 4249, 2000, 4629, 4020, 25338, 2007, 3161, 23694, 1998, 26670, 21193, 1010, 2009, 2069, 3138, 2055, 2431, 1037, 2154, 1999, 2023, 2642, 2455, 2000, 5382, 2017, 1521, 2128, 4873, 3492, 4365, 2569, 1012, 2053, 2073, 2003, 3243, 2066, 10399, 1012, 2044, 1021, 9389, 1011, 8966, 2420, 4439, 2105, 10399, 2007, 4714, 10399, 2023, 2621, 1010, 4237, 2013, 4634, 2132, 1011, 2058, 1011, 8265, 1999, 2293, 2007, 2023, 10162, 2455, 1010, 1045, 2036, 4342, 1037, 3528, 1997, 2590, 8220, 1012, 2182, 2024, 2184, 2477, 1045, 4342, 1999, 10399, 1015, 1012, 10399, 2030, 1529, 7733, 1029, 2053, 2048, 3971, 2055, 2009, 1010, 10399, 2003, 3376, 1010, 1998, 2025, 1999, 2115, 2779, 1010, 1523, 2821, 3475, 1521, 1056, 2008, 3492, 1524, 2785, 1997, 2126, 1012, 1045, 1521, 1049, 3331, 5730, 2718, 1996, 2723, 1010, 4000, 1999, 2115, 2159, 1010, 4950, 21601, 1999, 2115, 2227, 2296, 3371, 2785, 1997, 2126, 1012, 10399, 2003, 3376, 1999, 1996, 2755, 2008, 2009, 1521, 1055, 2061, 4310, 1012, 2045, 2003, 2053, 2073, 2008, 3504, 3243, 2066, 2009, 1012, 10399, 2003, 3748, 1012, 2009, 1521, 1055, 9576, 1012, 2009, 1521, 1055, 4895, 15464, 2098, 1012, 1996, 2190, 2112, 2003, 2008, 1996, 5957, 3431, 2061, 21040, 1012, 2028, 3371, 2017, 1521, 2128, 4439, 2058, 3376, 2665, 4020, 1999, 1996, 2148, 1010, 2279, 2115, 2006, 1037, 2304, 5472, 3509, 1010, 2059, 2017, 1521, 2128, 4439, 2011, 1037, 10046, 2059, 2017, 1521, 2128, 1999, 1037, 27136, 2100, 20248, 23367, 2181, 1012, 1998, 2123, 1521, 1056, 2130, 2131, 2033, 2318, 2006, 1996, 24236, 1012, 7249, 2017, 2735, 1999, 10399, 2017, 1521, 2222, 2156, 1037, 14297, 5519, 20260, 2090, 4020, 2030, 17197, 2058, 13576, 2600, 13197, 1012, 10399, 2038, 1996, 2785, 1997, 5957, 2008, 2097, 2681, 2017, 6603, 2065, 2017, 1521, 2128, 2145, 2006, 3011, 1012, 1016, 1012, 1996, 4633, 2003, 2428, 1010, 2428, 21446, 2065, 1045, 4342, 2028, 2518, 1999, 10399, 1999, 2251, 1010, 2009, 1521, 1055, 2008, 2017, 2064, 1521, 1056, 16014, 1996, 4633, 1012, 2123, 1521, 1056, 2130, 3046, 1012, 2053, 3043, 2073, 2017, 1521, 2128, 2183, 1010, 2191, 2469, 2017, 2031, 4253, 2005, 2035, 4633, 1012, 1999, 1996, 8487, 1997, 1021, 2420, 1045, 2253, 2013, 4147, 1037, 2380, 2050, 1998, 12121, 6045, 2000, 4147, 4542, 18907, 2673, 2000, 9132, 1998, 1037, 17573, 4848, 1012, 5667, 1029, 4439, 2013, 2028, 3962, 2000, 2178, 1010, 2823, 2057, 1521, 1040, 2175, 2013, 2630, 15717, 1998, 9609, 1010, 2000, 19397, 5738, 9666, 2061, 4317, 2017, 2071, 2069, 2156, 2184, 2519, 1999, 2392, 1997, 2017, 1012, 2823, 2009, 2052, 10364, 4542, 2035, 2154, 2006, 2028, 2217, 1997, 1996, 4020, 1998, 2059, 2022, 3154, 2006, 1996, 2060, 2217, 1012, 2009, 1521, 1055, 13576, 2021, 17160, 1012, 1017, 1012, 17163, 3226, 2008, 2878, 2518, 2055, 2129, 10399, 2545, 2903, 1999, 16980, 1998, 8867, 5154, 1010, 3398, 2008, 1521, 1055, 2025, 2205, 2521, 2013, 1996, 3606, 1012, 15876, 6392, 16093, 4747, 2243, 2030, 1996, 5023, 2111, 1010, 2907, 1037, 2569, 2173, 1999, 14024, 13104, 1998, 5722, 1010, 1998, 3227, 2202, 1996, 7499, 2005, 16655, 2595, 24759, 18175, 2094, 3471, 1998, 6881, 27247, 2076, 2311, 3934, 2105, 1996, 2406, 1012, 1999, 1037, 2786, 2817, 1010, 3963, 1003, 1997, 10399, 2545, 3373, 1999, 16980, 2096, 1020, 1003, 2134, 1521, 1056, 1010, 1998, 2603, 1003, 2020, 12422, 2096, 1015, 1003, 4188, 2000, 3437, 1012, 2008, 1521, 1055, 2157, 1020, 1003, 1997, 10399, 2545, 2123, 1521, 1056, 2903, 1999, 1996, 5023, 2111, 1012, 4151, 10231, 1010, 2129, 12476, 2003, 2008, 1029, 1999, 1996, 2521, 6561, 1997, 2789, 10399, 1010, 2126, 2125, 1996, 3614, 2346, 1998, 2058, 4895, 17310, 3709, 3137, 4925, 1010, 2017, 1521, 2222, 2424, 28709, 2906, 2546, 5558, 2099, 29668, 3126, 1041, 27268, 3089, 1010, 1037, 2235, 17163, 2237, 2245, 2000, 2022, 2188, 2000, 1996, 17163, 3035, 1012, 1999, 2023, 6556, 2112, 1997, 10399, 1010, 2073, 2017, 1521, 2222, 3298, 2005, 2847, 2302, 3773, 1037, 2309, 3969, 1998, 2007, 2053, 1017, 2290, 2593, 1010, 2017, 2064, 4088, 2000, 3305, 2339, 2111, 2145, 2903, 1999, 8075, 7329, 1012, 1018, 1012, 4518, 2039, 2006, 2115, 22017, 4371, 1999, 1996, 3199, 2053, 2048, 3971, 2055, 2009, 1010, 10399, 3475, 1521, 1056, 1037, 10036, 2406, 2000, 3942, 1010, 1998, 22017, 4371, 2003, 2053, 6453, 1012, 2096, 2045, 2024, 5791, 3971, 2000, 8849, 10399, 1998, 2025, 5247, 16721, 2015, 1997, 2769, 1010, 2028, 1997, 2026, 2190, 10247, 2003, 2000, 4965, 2115, 6544, 1999, 4611, 2489, 1999, 17710, 10258, 18891, 2243, 3199, 2077, 5825, 2041, 1012, 2012, 1996, 3891, 1997, 9391, 2066, 2019, 14813, 1010, 1045, 2071, 2425, 2017, 2074, 2000, 3828, 2115, 2769, 1998, 2025, 4392, 2012, 2035, 1999, 10399, 1010, 2021, 2073, 1521, 1055, 1996, 4569, 1999, 2008, 1029, 1998, 2292, 1521, 1055, 2022, 7481, 1010, 2052, 2017, 4952, 1029, 2129, 2079, 1045, 7655, 2023, 28814, 1029, 10399, 2545, 2113, 2129, 2000, 5466, 2091, 1012, 1045, 6655, 2017, 1002, 2531, 2151, 10399, 2121, 2064, 1998, 2097, 4392, 2017, 2104, 1996, 2795, 1012, 2045, 2003, 1037, 17160, 22017, 4371, 3226, 2074, 3403, 2000, 2022, 10641, 1999, 10399, 1010, 2191, 2469, 2017, 1521, 2128, 4810, 1012, 2138, 1997, 25506, 6544, 7773, 1999, 10399, 1010, 2045, 2003, 2058, 1037, 2531, 1003, 2928, 6279, 1999, 3976, 2006, 22017, 4371, 2013, 4611, 2489, 2000, 6963, 1998, 13207, 5324, 1999, 10399, 1012, 17710, 10258, 18891, 2243, 3084, 2009, 3733, 2205, 1012, 2077, 5825, 2000, 8145, 2115, 17434, 1010, 1996, 3199, 2003, 14336, 1999, 1037, 2126, 2008, 2017, 2031, 2053, 3601, 2021, 2000, 3413, 2083, 1996, 2088, 1521, 1055, 5221, 4611, 2489, 6544, 3573, 1010, 2007, 6023, 25568, 1998, 2673, 2061, 2123, 1521, 1056, 5293, 2000, 4518, 2039, 2006, 2115, 12886, 5404, 2077, 2975, 2138, 2017, 2097, 2342, 2009, 2101, 1012, 2926, 2065, 2017, 1521, 2128, 2725, 1037, 2346, 4440, 2007, 2814, 1010, 2017, 2113, 1010, 2138, 10399, 2036, 2038, 2053, 2330, 11661, 4277, 2005, 3765, 1006, 2085, 1045, 2079, 2614, 2066, 2019, 14813, 1007, 1012, 3746, 3120, 1019, 1012, 3288, 2115, 17573, 4848, 999, 2138, 1997, 10399, 1521, 1055, 20248, 23367, 5957, 1010, 2045, 2024, 6197, 1997, 2307, 12403, 2015, 1010, 2980, 6076, 1998, 4010, 12679, 2000, 2061, 4817, 1999, 2035, 2105, 1996, 2406, 1012, 2070, 2024, 2125, 1999, 1996, 4020, 1999, 1996, 2690, 1997, 7880, 1010, 2096, 2500, 2031, 2042, 2062, 3293, 3550, 1012, 2027, 2024, 2035, 18783, 1012, 2028, 1997, 2026, 5440, 2980, 6076, 2003, 2012, 7367, 2140, 3900, 10175, 13837, 4887, 2290, 1010, 1996, 4587, 5742, 4770, 1999, 10399, 1012, 9332, 2039, 1999, 1996, 4020, 2279, 2000, 1037, 2314, 1999, 1996, 2148, 1010, 2009, 1521, 1055, 1037, 2978, 1997, 1037, 3328, 2000, 2131, 2000, 2021, 2009, 1521, 1055, 2061, 4276, 2009, 1012, 1996, 2300, 2003, 1037, 2978, 6530, 1010, 2145, 3492, 6683, 2100, 2013, 1996, 10942, 17259, 1999, 2230, 1010, 2021, 2009, 1521, 1055, 1037, 2307, 2173, 2000, 6865, 2041, 2005, 1996, 5027, 1012, 2065, 2017, 1521, 2128, 1037, 2978, 2062, 25825, 1010, 2132, 2000, 21360, 6843, 22879, 2078, 27182, 1010, 20248, 23367, 19692, 2379, 1996, 3585, 4418, 1012, 2057, 2985, 1037, 2397, 5027, 26397, 2013, 2980, 4770, 2000, 2980, 4770, 1999, 1996, 10620, 9666, 1010, 19613, 1999, 1996, 4010, 2300, 2044, 1037, 2146, 3462, 2058, 2000, 10399, 1012, 2096, 5933, 16980, 1999, 28709, 2906, 2546, 5558, 2099, 29668, 3126, 1041, 27268, 3089, 1010, 2057, 2036, 2165, 1996, 3382, 2000, 5376, 2046, 1996, 4153, 2096, 5689, 2041, 2012, 1037, 2334, 12403, 2012, 1996, 1038, 20470, 5558, 10623, 4113, 4580, 1012, 2017, 2064, 4133, 1999, 2536, 2980, 14366, 2015, 2041, 1999, 1996, 9609, 12549, 1996, 6496, 1998, 3509, 1010, 2021, 1045, 2123, 1521, 1056, 6592, 8660, 1999, 1996, 4153, 1012, 2008, 3480, 2066, 3109, 1012, 2061, 2123, 1521, 1056, 5293, 2115, 9880, 28880, 1998, 1037, 10257, 1010, 2017, 2196, 2113, 2043, 2017, 1521, 2128, 2183, 2000, 2342, 2009, 999, 1020, 1012, 2123, 1521, 1056, 2022, 1037, 12873, 12054, 2000, 2360, 2008, 6813, 2038, 9913, 1999, 10399, 1999, 1996, 2627, 2261, 2086, 2003, 1037, 5294, 2104, 9153, 18532, 4765, 1012, 2023, 2965, 2008, 2045, 2003, 2025, 2467, 1996, 6502, 2030, 3808, 5658, 1999, 2173, 2008, 2017, 2052, 2411, 2424, 1999, 2062, 2759, 7538, 14345, 1012, 2138, 10399, 2003, 2107, 2019, 4895, 16340, 8898, 2173, 2007, 3748, 4633, 1998, 5681, 4795, 12793, 1010, 2009, 1521, 1055, 2428, 2590, 2000, 2022, 6047, 2043, 7118, 2045, 1012, 2017, 2876, 1521, 1056, 2903, 1996, 3815, 1997, 5236, 4485, 2111, 2079, 2096, 2045, 1012, 1045, 2228, 3383, 1996, 2087, 4795, 2518, 2003, 4815, 2058, 2006, 1996, 2217, 1997, 1996, 3614, 2346, 2000, 2202, 7760, 1012, 3398, 1045, 2131, 2009, 1010, 2009, 1521, 1055, 2025, 1037, 5697, 2346, 1025, 2017, 2064, 5791, 3298, 2005, 1037, 2096, 1998, 2025, 2156, 2060, 3765, 1010, 2021, 2008, 2987, 1521, 1056, 2812, 2017, 2064, 2074, 2380, 2115, 2482, 2006, 2009, 1998, 2131, 2041, 1012, 2045, 2024, 2467, 4139, 1011, 2125, 2752, 1998, 3888, 18084, 1010, 2074, 3524, 2127, 2009, 1521, 1055, 3647, 1012, 4439, 1996, 2148, 3023, 1997, 10399, 2003, 3376, 1529, 2123, 1521, 1056, 10083, 2009, 2005, 3071, 2842, 1012, 1037, 2843, 1997, 1996, 4121, 24236, 1998, 2350, 1006, 1998, 3576, 1007, 3019, 16278, 2024, 2025, 7919, 17785, 1025, 1045, 1012, 1041, 1012, 1010, 2045, 4995, 1521, 1056, 14607, 2030, 3457, 15118, 2015, 2000, 2562, 28781, 2013, 4634, 2125, 2068, 1012, 2009, 1521, 1055, 2187, 2039, 2000, 2017, 2000, 2022, 3647, 1012, 2061, 2123, 1521, 1056, 2131, 2000, 2485, 1998, 2991, 2125, 999, 1021, 1012, 1045, 2064, 1521, 1056, 4013, 3630, 17457, 2505, 14024, 2003, 2524, 1012, 2066, 2428, 2524, 1012, 2031, 2017, 2464, 2070, 14024, 2616, 2077, 1029, 2021, 1996, 4569, 2112, 2003, 2074, 2667, 1012, 15798, 10399, 2545, 2024, 5776, 1998, 5379, 1010, 2061, 2017, 2196, 2514, 2919, 2055, 3294, 14998, 2075, 2037, 3376, 2653, 1012, 8053, 5341, 1010, 2471, 3071, 1999, 10399, 8847, 3819, 2394, 2061, 2017, 1521, 2128, 2196, 15577, 2005, 2146, 1012, 2011, 1996, 2051, 1045, 2187, 10399, 1010, 1045, 2001, 5341, 2065, 1045, 4622, 2129, 2000, 4013, 3630, 17457, 1996, 3415, 1997, 1996, 3182, 2057, 4716, 1012, 1022, 1012, 2123, 1521, 1056, 2655, 1996, 5194, 13433, 15580, 999, 4439, 2105, 10399, 2017, 2097, 2156, 7167, 1997, 4249, 2007, 1996, 3297, 14024, 5194, 1025, 15606, 1011, 7451, 2007, 3376, 23055, 2015, 1998, 1037, 5664, 2227, 1010, 2009, 1521, 1055, 2061, 3733, 2005, 2017, 1006, 3057, 1007, 2000, 2175, 1523, 22091, 2860, 2860, 2860, 2860, 2054, 10140, 13433, 15580, 1010, 1524, 2021, 2022, 8059, 2065, 2017, 2079, 1012, 2498, 18138, 2229, 2125, 10399, 2545, 1998, 14024, 5194, 2066, 2108, 2170, 13433, 15580, 1516, 2027, 1521, 2128, 5194, 1010, 27863, 1998, 2844, 9287, 2013, 13468, 1012, 2009, 1521, 1055, 23979, 2000, 12826, 2068, 2007, 13433, 15580, 1012, 1999, 2755, 1010, 10399, 3138, 2049, 5194, 2061, 5667, 2008, 2060, 5194, 4995, 1521, 1056, 3039, 2000, 4607, 1996, 2406, 1998, 2320, 2019, 14024, 3586, 3727, 1010, 2009, 2064, 2196, 2709, 1012, 1045, 3984, 2017, 2064, 2655, 2009, 1037, 15606, 2059, 1012, 1023, 1012, 2045, 1521, 1055, 1037, 11341, 6700, 3334, 3226, 2053, 2048, 3971, 2055, 2009, 1010, 28559, 2003, 6700, 3334, 2103, 1012, 1999, 1037, 2204, 2126, 1012, 2045, 2024, 6197, 1997, 12476, 23812, 1010, 6963, 1010, 1998, 3182, 2000, 20209, 2091, 1999, 2237, 1010, 2035, 2981, 1998, 2035, 21864, 15952, 1012, 1998, 2045, 2024, 7564, 1997, 2307, 9275, 1999, 1996, 28559, 2103, 2415, 2004, 2092, 1012, 2013, 24747, 2317, 12513, 2012, 1996, 3393, 18912, 5488, 3347, 2000, 5983, 10077, 4916, 2012, 15942, 18938, 2000, 5870, 2012, 1996, 21864, 15952, 14921, 2012, 1996, 21360, 4859, 21716, 4017, 7668, 2096, 2115, 4253, 4318, 10025, 1010, 2045, 2003, 2053, 15843, 1997, 5099, 7516, 1998, 12090, 2833, 2105, 2237, 1012, 2074, 2123, 1521, 1056, 2022, 4527, 2043, 2017, 2156, 3586, 1010, 23893, 2378, 1010, 8351, 1521, 1055, 2132, 1010, 13156, 1998, 11083, 11420, 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, 5824, 2575, 1055, 1012, 1059, 1012, 14134, 6079, 2620, 1006, 3055, 1007, 7638, 3841, 3511, 1010, 10439, 24178, 1010, 1058, 1012, 1040, 1012, 1041, 1012, 3841, 3511, 1010, 3802, 2632, 1012, 1010, 10439, 14774, 2229, 1012, 2053, 1012, 5718, 1011, 5594, 1011, 6185, 2581, 2575, 1011, 26226, 2457, 1997, 9023, 1997, 3146, 1010, 23204, 10486, 1012, 2233, 2459, 1010, 3055, 1012, 2128, 26560, 2075, 6380, 2258, 2321, 1010, 3055, 1012, 1008, 6079, 2683, 14749, 6887, 10581, 2078, 1010, 6887, 10581, 2078, 1010, 2062, 3122, 1004, 2175, 4246, 1010, 2504, 3122, 1010, 2005, 10439, 24178, 1012, 11978, 13970, 7295, 2063, 1998, 8226, 10554, 1010, 13675, 6132, 14238, 1010, 2452, 9910, 1004, 23689, 3286, 1010, 11320, 10322, 7432, 1010, 2005, 10439, 14774, 2229, 1012, 2077, 9579, 1010, 1039, 1012, 1046, 1012, 1010, 1998, 26489, 3385, 1998, 12164, 1010, 29017, 1012, 1008, 23612, 9579, 1010, 2708, 3425, 1012, 7638, 3841, 3511, 3819, 2098, 2023, 5574, 2013, 1037, 2202, 1011, 2498, 8689, 10155, 2044, 1037, 6467, 3979, 2006, 2010, 2895, 1012, 7638, 1010, 24086, 3070, 14258, 1998, 2004, 1037, 18668, 1010, 2004, 2092, 2004, 2006, 6852, 1997, 2060, 15337, 1010, 1997, 1038, 1004, 1038, 7125, 2194, 1010, 2716, 1996, 2895, 2114, 1040, 1012, 1041, 1012, 1006, 4962, 1007, 3841, 3511, 1010, 1059, 1012, 1039, 1012, 1006, 14163, 4779, 1007, 3841, 3511, 1010, 1038, 1004, 1038, 7125, 2194, 1010, 1998, 11164, 26707, 1010, 4297, 1012, 1010, 1040, 1013, 1038, 1013, 1037, 8925, 12691, 8623, 1010, 2000, 24501, 15459, 2094, 1996, 16636, 6651, 1997, 1996, 7045, 1998, 22393, 14680, 1997, 1038, 1004, 1038, 7125, 2194, 2000, 11164, 26707, 1010, 4297, 1012, 1010, 2000, 4012, 11880, 1996, 2709, 1997, 1996, 5144, 1010, 2000, 17607, 1037, 26157, 3404, 2006, 1996, 2613, 3200, 21527, 2000, 11164, 26707, 1010, 4297, 1012, 1010, 1998, 2005, 2060, 4335, 1012, 2588, 1996, 2206, 4654, 21557, 1010, 2057, 21358, 27972, 1012, 7638, 1010, 4962, 1010, 1998, 14163, 4779, 2169, 3079, 2028, 1011, 2353, 1997, 1996, 6661, 1010, 1998, 2020, 3738, 1998, 5501, 1010, 1997, 1038, 1004, 1038, 7125, 2194, 1010, 1037, 3146, 3840, 1012, 4962, 3079, 2753, 1003, 1998, 14163, 4779, 3079, 3486, 1003, 1997, 1996, 6661, 1010, 1998, 2020, 1996, 4054, 3738, 1998, 5501, 1010, 1997, 11164, 26707, 1010, 4297, 1012, 2006, 1015, 2089, 3339, 1010, 1037, 4384, 3296, 3116, 1997, 1038, 1004, 1038, 7125, 2194, 1005, 1055, 15337, 2001, 2218, 2302, 5270, 2011, 7638, 1010, 2040, 2741, 2010, 4005, 2007, 1037, 2373, 1997, 4905, 1012, 2076, 1996, 3116, 1010, 4962, 1010, 14163, 4779, 1010, 1998, 7638, 2020, 2700, 2004, 5501, 2005, 1996, 13831, 2095, 1012, 2012, 1037, 2206, 2604, 1997, 5501, 3116, 1010, 1038, 1004, 1038, 7125, 2194, 1010, 3772, 2083, 4962, 1998, 14163, 4779, 1999, 1996, 6438, 1997, 7638, 1010, 4015, 2049, 7045, 1998, 22393, 14680, 2000, 11164, 26707, 1010, 4297, 1012, 1996, 16636, 6651, 1997, 1038, 1004, 1038, 7125, 2194, 1005, 1055, 2455, 1010, 2362, 2007, 2049, 9754, 1998, 16664, 5426, 1999, 2060, 2455, 1010, 2284, 1999, 8925, 2221, 2001, 21328, 2011, 1037, 15046, 6052, 1015, 2089, 3339, 1998, 2680, 1016, 2254, 3299, 1012, 6920, 2006, 2385, 2233, 3261, 1010, 1996, 6111, 1997, 1038, 1004, 1038, 7125, 2194, 2001, 2005, 21156, 2098, 2011, 1996, 3146, 3187, 1997, 2110, 2005, 2049, 4945, 2000, 3477, 6329, 7773, 1012, 7638, 6406, 2010, 2434, 9964, 2006, 2410, 2089, 3172, 1012, 1999, 2010, 2444, 3979, 16418, 2015, 1010, 7638, 6884, 1010, 6970, 4862, 2050, 1998, 1999, 4766, 1010, 2008, 1996, 1015, 2089, 3339, 12598, 1010, 2029, 2002, 2106, 2025, 4553, 2055, 2127, 2321, 2251, 3261, 1010, 2001, 1010, 1999, 3466, 1010, 6206, 2005, 1996, 3768, 1997, 20104, 1010, 2025, 4189, 1010, 1998, 11846, 9861, 2011, 4962, 1998, 14163, 4779, 2000, 2139, 18098, 3512, 2032, 1998, 1038, 1004, 1038, 7125, 2194, 1997, 2037, 2972, 3037, 1012, 2011, 2010, 2895, 1010, 7638, 4912, 2000, 5851, 2005, 1038, 1004, 1038, 7125, 2194, 12394, 1010, 1996, 24501, 22987, 10992, 1997, 1996, 1015, 2089, 3339, 5096, 1998, 1996, 2709, 1997, 2035, 7045, 1010, 2019, 9529, 1997, 1996, 12594, 1998, 11727, 16222, 6820, 2075, 2013, 1038, 1004, 1038, 7125, 2194, 1005, 1055, 7045, 2144, 1015, 2089, 3339, 1010, 1998, 1996, 17727, 19234, 1997, 1037, 26157, 3404, 2588, 1996, 2613, 3200, 2005, 1996, 5770, 1997, 1038, 1004, 1038, 7125, 2194, 1998, 2049, 15337, 1012, 2002, 2036, 4912, 27792, 12394, 1010, 2362, 2007, 2010, 11727, 1998, 9608, 4905, 1005, 1055, 9883, 1010, 2013, 4962, 1010, 14163, 4779, 1010, 1998, 11164, 26707, 1010, 4297, 1012, 4962, 1010, 14163, 4779, 1010, 11164, 26707, 1010, 4297, 1012, 1010, 1998, 1038, 1004, 1038, 7125, 2194, 4660, 1012, 1999, 2037, 3437, 1010, 2027, 2443, 2569, 11790, 1010, 1037, 2236, 14920, 1010, 1998, 27352, 13345, 1010, 2029, 14218, 12546, 1998, 1010, 2006, 6852, 1997, 11164, 26707, 1010, 4297, 1012, 1010, 15316, 6664, 1012, 1996, 6467, 27352, 2135, 2179, 1010, 1999, 3433, 2000, 1996, 2034, 2274, 2569, 3314, 7864, 1010, 1006, 1015, 1007, 1996, 3787, 1997, 6270, 6630, 2011, 4962, 1998, 14163, 4779, 1025, 1006, 1016, 1007, 2008, 1996, 1015, 2089, 3339, 12598, 2001, 2025, 4189, 1010, 7481, 1998, 9608, 1025, 1998, 2008, 1010, 2018, 1996, 1015, 2089, 3339, 12598, 2025, 2579, 2173, 1010, 1996, 7680, 1997, 2769, 2000, 7199, 1998, 16286, 2597, 1006, 1017, 1007, 14163, 4779, 1010, 1006, 1018, 1007, 4962, 1010, 1998, 1006, 1019, 1007, 11164, 26707, 1010, 4297, 1012, 2001, 1000, 3904, 1012, 1000, 2569, 3277, 2053, 1012, 1020, 2001, 7864, 1998, 4660, 1999, 2023, 2653, 1024, 2079, 2017, 2424, 2013, 1037, 17463, 15422, 23169, 3401, 1997, 1996, 3350, 2008, 7638, 3841, 3511, 2354, 2030, 2323, 2031, 2124, 2011, 2030, 3188, 2000, 2089, 2260, 1010, 3245, 1010, 1997, 1996, 11817, 13557, 1996, 7045, 1997, 1038, 1004, 1038, 7125, 2194, 2020, 21527, 2000, 11164, 26707, 1010, 4297, 1012, 1029, 2017, 2024, 10290, 2008, 2151, 3716, 2008, 1996, 4005, 1997, 7638, 3841, 3511, 2038, 1010, 2003, 3716, 2000, 7638, 3841, 3511, 1012, 2017, 2024, 2582, 10290, 2008, 5025, 5060, 2965, 2216, 2477, 1997, 2029, 1996, 2028, 4912, 2000, 2022, 5338, 2038, 4671, 2592, 1012, 2017, 2024, 2582, 10290, 2008, 5060, 2036, 2950, 2216, 8866, 2029, 9608, 9934, 2052, 2031, 21362, 1010, 1996, 4611, 1997, 9934, 8402, 2069, 2000, 5609, 2008, 2024, 7199, 4081, 2011, 1996, 8866, 2428, 2124, 1012, 1999, 2060, 2616, 1010, 3649, 7199, 8509, 1037, 2711, 2588, 9934, 2003, 5025, 1008, 5786, 2487, 5060, 1997, 1996, 8866, 2008, 2052, 2031, 2042, 3603, 2011, 9608, 2224, 1997, 1996, 2965, 2012, 2192, 1012, 3437, 1000, 2002, 2106, 2113, 1000, 2030, 1000, 2002, 2106, 2025, 2113, 1012, 1000, 3437, 1024, 2002, 2106, 2113, 2011, 2569, 3277, 2053, 1012, 1021, 1010, 1996, 2457, 24849, 3251, 1010, 1998, 1996, 6467, 2179, 2008, 1010, 11164, 26707, 1010, 4297, 1012, 2218, 3521, 3085, 1998, 15316, 6664, 1997, 1996, 2455, 1999, 6704, 2005, 1037, 5486, 2558, 1997, 2274, 2086, 3188, 2000, 2322, 2257, 3261, 1012, 1999, 10739, 1996, 5964, 2569, 3277, 1010, 1996, 6467, 2179, 2008, 1002, 2324, 1010, 2199, 2323, 2022, 14155, 2114, 4962, 2004, 27792, 12394, 1012, 1998, 1010, 22267, 1010, 1996, 6467, 4964, 1010, 2011, 2049, 2569, 3277, 2053, 1012, 1023, 3437, 1010, 1002, 2324, 1010, 9683, 2004, 7638, 1005, 1055, 9608, 4905, 1005, 1055, 9883, 1012, 2044, 2035, 5507, 10762, 3215, 2333, 2005, 8689, 1010, 1996, 2457, 1010, 28667, 15402, 2008, 1996, 14392, 1997, 1996, 6467, 2001, 2114, 7638, 1010, 10155, 8689, 10037, 2075, 2008, 7638, 2202, 2498, 2011, 2010, 4848, 1012, 1996, 2457, 2081, 2053, 2680, 3433, 2000, 7638, 1005, 1055, 11186, 2005, 9556, 1997, 2755, 1998, 15306, 1997, 2375, 1998, 4367, 2000, 19933, 1996, 8689, 1010, 2011, 2029, 2002, 4912, 1996, 2457, 2000, 13520, 1996, 3978, 2005, 1996, 8689, 1012, 1999, 16004, 2007, 3157, 2685, 1997, 7561, 1010, 7638, 9704, 2008, 2096, 1996, 3979, 2457, 4188, 2000, 2110, 2339, 2009, 5451, 1010, 2009, 2071, 2031, 2241, 2049, 3247, 2006, 1996, 6467, 1005, 1055, 27352, 3437, 2000, 2569, 3277, 2053, 1012, 1020, 1012, 1996, 3437, 2001, 1037, 4531, 1997, 1996, 7864, 1010, 12254, 3639, 1997, 3347, 2000, 7638, 1005, 1055, 2895, 2011, 1996, 2176, 1011, 2095, 11671, 1997, 22718, 1010, 2059, 5228, 2004, 1024, 2296, 2895, 2060, 2084, 2005, 1996, 7233, 1997, 2613, 3776, 1010, 2005, 2029, 2053, 22718, 2003, 4728, 16250, 1010, 4618, 2022, 2716, 2306, 2176, 2086, 2279, 2044, 1996, 2157, 2000, 3288, 1996, 2168, 4618, 2031, 16222, 28551, 1998, 2025, 9707, 1012, 16060, 1012, 7065, 1012, 25022, 2615, 1012, 28093, 1012, 5754, 1012, 2396, 1012, 4583, 24594, 1006, 11447, 3845, 1007, 1006, 21492, 3106, 1007, 1012, 1031, 1015, 1033, 6600, 1010, 7638, 7860, 2119, 1996, 10439, 19341, 8553, 1997, 3720, 4583, 24594, 1998, 1996, 2433, 1997, 2049, 12339, 1012, 1996, 3732, 4119, 2003, 4384, 2034, 1012, 2007, 2010, 2353, 2391, 1997, 7561, 1010, 7638, 7534, 2010, 3979, 2457, 17304, 2008, 2569, 3277, 2053, 1012, 1020, 2003, 9413, 20793, 3560, 2138, 1006, 1015, 1007, 1996, 9934, 3251, 2002, 1000, 2354, 2030, 2323, 2031, 2124, 1000, 1997, 1996, 12598, 2625, 6675, 1996, 16362, 1005, 10859, 1997, 6947, 1010, 1998, 1006, 1016, 1007, 1996, 6467, 2001, 2025, 4919, 10290, 2008, 1996, 10859, 1997, 6947, 2001, 2006, 16362, 2000, 6011, 2008, 2002, 2018, 5060, 1997, 1996, 12598, 1012, 2174, 1010, 1996, 8312, 1010, 5398, 2069, 1997, 1037, 2236, 6685, 2302, 11091, 1997, 2151, 3691, 2000, 5441, 1996, 2391, 1010, 2003, 2025, 1999, 10124, 12646, 2007, 1996, 27918, 3513, 1998, 1010, 3568, 1010, 1996, 2391, 2064, 2022, 2641, 16301, 1012, 16060, 1012, 1054, 1012, 10439, 1012, 4013, 2278, 1012, 6356, 1006, 1042, 1007, 1025, 3776, 1997, 1038, 20822, 5643, 1058, 1012, 23680, 2239, 8713, 2080, 1010, 3438, 2549, 1055, 1012, 1059, 1012, 14134, 24709, 1010, 25504, 1006, 16060, 1012, 25022, 2615, 1012, 10439, 1012, 13931, 21359, 1007, 1010, 25697, 25416, 1005, 1040, 1050, 1012, 1054, 1012, 1041, 1012, 2566, 12731, 25557, 1010, 3438, 2620, 1055, 1012, 1059, 1012, 14134, 6079, 2620, 1006, 16060, 1012, 3150, 1007, 1012, 9308, 1010, 2144, 7638, 6884, 1037, 27105, 16636, 6651, 2008, 2002, 2106, 2025, 4553, 2055, 2127, 2321, 2251, 3261, 1010, 1996, 12254, 3639, 1997, 22718, 2992, 1996, 3160, 2043, 2002, 2354, 2030, 1999, 1996, 6912, 1997, 9608, 29454, 29206, 3401, 2323, 2031, 2124, 1997, 1996, 16636, 6651, 1012, 7968, 1058, 1012, 5143, 1010, 17867, 16060, 1012, 3438, 2620, 1010, 3486, 2683, 1055, 1012, 1059, 1012, 14134, 6584, 2575, 1010, 6584, 2683, 1006, 3705, 1007, 1012, 1996, 20241, 1997, 1996, 5600, 3277, 2000, 1999, 15549, 2890, 2065, 1996, 6467, 2179, 2013, 1037, 17463, 15422, 23169, 3401, 1997, 1996, 3350, 2008, 7638, 2354, 2030, 2323, 2031, 2124, 2011, 2030, 3188, 2000, 2260, 2089, 3245, 1997, 1996, 12598, 7919, 2872, 1996, 10859, 1997, 6947, 2006, 1996, 16362, 1012, 6746, 2015, 1058, 1012, 13084, 1010, 23988, 1055, 1012, 1059, 1012, 14134, 6191, 2683, 1010, 4185, 2509, 1006, 16060, 1012, 25022, 2615, 1012, 10439, 1012, 23204, 10486, 3547, 1010, 25697, 25416, 1005, 1040, 1050, 1012, 1054, 1012, 1041, 1012, 1007, 1012, 1996, 2353, 2391, 1997, 7561, 2003, 2058, 6820, 3709, 1012, 2011, 2010, 2117, 2391, 1010, 7638, 12040, 2015, 2008, 1996, 2176, 1011, 2095, 11671, 1997, 22718, 2515, 2025, 3347, 2010, 7233, 2138, 3720, 4583, 24594, 4671, 2135, 2515, 2025, 6611, 2000, 2010, 4848, 2000, 8980, 2455, 1012, 2023, 3463, 1010, 2002, 27481, 2015, 1010, 2138, 1999, 1996, 3041, 5574, 2013, 1037, 6891, 6996, 1010, 2057, 2218, 1010, 1999, 2019, 19106, 5448, 3843, 1999, 3841, 3511, 1058, 1012, 3841, 3511, 1010, 2053, 1012, 5718, 1011, 6640, 1011, 6185, 14142, 1011, 26226, 1006, 16060, 1012, 10439, 1012, 23204, 10486, 1010, 5553, 1012, 1018, 1010, 3106, 1010, 2053, 25697, 1007, 1010, 2008, 2010, 2895, 2003, 1037, 4848, 2000, 8980, 2455, 1012, 3568, 1010, 2002, 18806, 1010, 2256, 3173, 2150, 1996, 2375, 1997, 1996, 2553, 1012, 25170, 3363, 1058, 1012, 1008, 5786, 2475, 8840, 9335, 1004, 5658, 9286, 2669, 3361, 13058, 1012, 1010, 4749, 2575, 1055, 1012, 1059, 1012, 14134, 5764, 2683, 1010, 6163, 2475, 1006, 16060, 1012, 25022, 2615, 1012, 10439, 1012, 7482, 3381, 1010, 25697, 25416, 1005, 1040, 1050, 1012, 1054, 1012, 1041, 1012, 1007, 1012, 2057, 2079, 2025, 5993, 2007, 1996, 8170, 1012, 1999, 1996, 6891, 5574, 1010, 2256, 3086, 2001, 4208, 2588, 1996, 14293, 1997, 7638, 2000, 4012, 11880, 1996, 3979, 1997, 2010, 2895, 1999, 8925, 2221, 2104, 1996, 2059, 4493, 20104, 1997, 12572, 2403, 1997, 3720, 2786, 1010, 3146, 8001, 2942, 18574, 5754, 17287, 3064, 1006, 11447, 3546, 1007, 1006, 21492, 3106, 1007, 1012, 1031, 1016, 1033, 2012, 1996, 2051, 1997, 1996, 2895, 1010, 12572, 2403, 3024, 2008, 1024, 11072, 2005, 1996, 7233, 1997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 9385, 1006, 1039, 1007, 2355, 1011, 2760, 4862, 3676, 3676, 2177, 3173, 3132, 7000, 2104, 1996, 15895, 6105, 1010, 2544, 1016, 1012, 1014, 1006, 1996, 1000, 6105, 1000, 1007, 1025, 2017, 2089, 2025, 2224, 2023, 5371, 3272, 1999, 12646, 2007, 1996, 6105, 1012, 2017, 2089, 6855, 1037, 6100, 1997, 1996, 6105, 2012, 8299, 1024, 1013, 1013, 7479, 1012, 15895, 1012, 8917, 1013, 15943, 1013, 6105, 1011, 1016, 1012, 1014, 4983, 3223, 2011, 12711, 2375, 2030, 3530, 2000, 1999, 3015, 1010, 4007, 5500, 2104, 1996, 6105, 2003, 5500, 2006, 2019, 1000, 2004, 2003, 1000, 3978, 1010, 2302, 10943, 3111, 2030, 3785, 1997, 2151, 2785, 1010, 2593, 4671, 2030, 13339, 1012, 2156, 1996, 6105, 2005, 1996, 3563, 2653, 8677, 6656, 2015, 1998, 12546, 2104, 1996, 6105, 1012, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 1013, 1013, 1013, 8778, 17698, 2015, 1011, 8224, 1005, 1055, 2951, 8989, 4289, 1013, 1013, 9385, 2263, 8224, 4297, 1012, 2035, 2916, 9235, 1012, 1013, 1013, 16770, 1024, 1013, 1013, 9797, 1012, 8224, 1012, 4012, 1013, 8778, 1011, 17698, 2015, 1013, 1013, 1013, 1013, 1013, 25707, 1998, 2224, 1999, 3120, 1998, 12441, 3596, 1010, 2007, 2030, 2302, 1013, 1013, 14080, 1010, 2024, 7936, 3024, 2008, 1996, 2206, 3785, 2024, 1013, 1013, 2777, 1024, 1013, 1013, 1013, 1013, 1008, 25707, 2015, 1997, 3120, 3642, 2442, 9279, 1996, 2682, 9385, 1013, 1013, 5060, 1010, 2023, 2862, 1997, 3785, 1998, 1996, 2206, 5860, 19771, 5017, 1012, 1013, 1013, 1008, 25707, 2015, 1999, 12441, 2433, 2442, 21376, 1996, 2682, 1013, 1013, 9385, 5060, 1010, 2023, 2862, 1997, 3785, 1998, 1996, 2206, 5860, 19771, 5017, 1013, 1013, 1999, 1996, 12653, 1998, 1013, 2030, 2060, 4475, 3024, 2007, 1996, 1013, 1013, 4353, 1012, 1013, 1013, 1008, 4445, 1996, 2171, 1997, 8224, 4297, 1012, 4496, 1996, 3415, 1997, 2049, 1013, 1013, 16884, 2089, 2022, 2109, 2000, 2203, 5668, 2063, 2030, 5326, 3688, 5173, 2013, 1013, 1013, 2023, 4007, 2302, 3563, 3188, 2517, 6656, 1012, 1013, 1013, 1013, 1013, 2023, 4007, 2003, 3024, 2011, 1996, 9385, 13304, 1998, 16884, 1013, 1013, 1000, 2004, 2003, 1000, 1998, 2151, 4671, 2030, 13339, 10943, 3111, 1010, 2164, 1010, 2021, 2025, 1013, 1013, 3132, 2000, 1010, 1996, 13339, 10943, 3111, 1997, 6432, 8010, 1998, 10516, 2005, 1013, 1013, 1037, 3327, 3800, 2024, 5860, 19771, 7583, 1012, 1999, 2053, 2724, 4618, 1996, 9385, 1013, 1013, 3954, 2030, 16884, 2022, 20090, 2005, 2151, 3622, 1010, 14958, 1010, 5043, 2389, 1010, 1013, 1013, 2569, 1010, 27792, 1010, 2030, 9530, 3366, 15417, 4818, 12394, 1006, 2164, 1010, 2021, 2025, 1013, 1013, 3132, 2000, 1010, 21423, 1997, 7681, 5350, 2030, 2578, 1025, 3279, 1997, 2224, 1010, 1013, 1013, 2951, 1010, 2030, 11372, 1025, 2030, 2449, 24191, 1007, 2174, 3303, 1998, 2006, 2151, 1013, 1013, 3399, 1997, 14000, 1010, 3251, 1999, 3206, 1010, 9384, 14000, 1010, 2030, 17153, 2102, 1013, 1013, 1006, 2164, 27988, 2030, 4728, 1007, 17707, 1999, 2151, 2126, 2041, 1997, 1996, 2224, 1013, 1013, 1997, 2023, 4007, 1010, 2130, 2065, 9449, 1997, 1996, 6061, 1997, 2107, 4053, 1012, 1013, 1013, 3166, 1024, 25446, 1030, 8224, 1012, 4012, 1006, 25446, 13075, 2850, 1007, 1013, 1013, 7861, 18969, 8224, 2509, 1013, 5604, 1013, 2918, 1013, 2270, 1013, 8224, 22199, 1012, 10507, 1001, 2421, 1026, 8224, 1013, 15053, 8569, 2546, 1013, 5604, 1013, 8224, 22199, 1012, 1044, 1028, 1001, 2421, 1026, 8224, 1013, 15053, 8569, 2546, 1013, 5604, 1013, 5371, 1012, 1044, 1028, 1001, 2421, 1026, 8224, 1013, 15053, 8569, 2546, 1013, 24646, 5910, 1013, 22834, 1035, 2663, 16703, 1012, 1044, 1028, 1001, 2421, 1026, 8224, 1013, 15053, 8569, 2546, 1013, 24646, 5910, 1013, 2358, 22134, 4014, 1012, 1044, 1028, 1001, 2421, 1026, 25353, 2015, 1013, 28093, 1012, 1044, 1028, 1001, 2421, 1026, 25353, 2015, 1013, 4127, 1012, 1044, 1028, 1001, 2421, 1026, 9413, 19139, 1012, 1044, 1028, 1001, 2421, 1026, 2358, 19422, 12322, 1012, 1044, 1028, 1001, 2065, 3207, 2546, 1035, 23794, 1035, 2310, 2099, 1013, 1013, 1001, 2421, 1026, 3622, 1012, 1044, 1028, 1001, 2842, 1001, 2421, 1026, 4895, 2923, 2094, 1012, 1044, 1028, 1001, 2203, 10128, 1001, 2421, 1026, 2358, 20617, 1012, 1044, 1028, 1001, 2421, 1026, 4429, 3372, 2140, 1012, 1044, 1028, 1001, 2421, 1026, 16380, 25379, 1028, 1001, 2421, 1026, 1042, 21422, 1028, 3415, 15327, 8224, 1063, 3415, 15327, 15053, 8569, 2546, 1063, 1001, 2065, 3207, 2546, 1035, 2663, 16703, 1013, 1013, 2079, 2025, 2421, 1026, 22834, 1012, 1044, 1028, 1010, 2612, 3443, 4972, 1999, 22834, 1035, 2663, 16703, 1012, 1063, 1044, 1010, 10507, 1065, 1998, 12324, 1013, 1013, 2068, 2066, 2057, 2079, 2917, 1012, 2478, 8224, 1024, 1024, 15053, 8569, 2546, 1024, 1024, 4722, 1024, 1024, 2663, 16703, 1024, 1024, 2485, 1025, 2478, 8224, 1024, 1024, 15053, 8569, 2546, 1024, 1024, 4722, 1024, 1024, 2663, 16703, 1024, 1024, 4241, 2361, 2475, 1025, 2478, 8224, 1024, 1024, 15053, 8569, 2546, 1024, 1024, 4722, 1024, 1024, 2663, 16703, 1024, 1024, 4241, 2361, 1025, 2478, 8224, 1024, 1024, 15053, 8569, 2546, 1024, 1024, 4722, 1024, 1024, 2663, 16703, 1024, 1024, 12395, 4305, 2099, 1025, 2478, 8224, 1024, 1024, 15053, 8569, 2546, 1024, 1024, 4722, 1024, 1024, 2663, 16703, 1024, 1024, 2330, 1025, 1001, 2203, 10128, 1001, 2065, 13629, 2546, 1051, 1035, 12441, 1001, 2065, 3207, 2546, 1035, 1051, 1035, 12441, 1001, 9375, 1051, 1035, 12441, 1035, 1051, 1035, 12441, 1001, 2842, 1001, 9375, 1051, 1035, 12441, 1014, 1013, 1013, 2065, 2023, 3475, 1005, 1056, 4225, 1010, 1996, 4132, 2987, 1005, 1056, 2342, 2009, 1012, 1001, 2203, 10128, 1001, 2203, 10128, 5164, 5852, 8162, 11788, 4313, 1006, 1007, 1063, 1001, 2065, 13629, 2546, 8224, 1035, 2353, 1035, 2283, 1035, 15053, 8569, 2546, 1001, 2065, 3207, 2546, 8224, 1035, 15053, 8569, 2546, 1035, 3231, 1035, 3120, 1035, 4130, 2709, 8224, 1035, 15053, 8569, 2546, 1035, 3231, 1035, 3120, 1035, 4130, 1025, 1001, 2842, 1001, 2065, 13629, 2546, 1035, 23794, 1035, 2310, 2099, 1013, 1013, 8285, 2863, 3489, 4520, 1996, 1000, 5034, 19797, 4313, 1000, 4044, 8023, 1012, 25869, 1008, 2765, 1027, 2131, 2368, 2615, 1006, 1000, 5034, 19797, 4313, 1000, 1007, 1025, 2065, 1006, 2765, 999, 1027, 19701, 1007, 1063, 2709, 2765, 1025, 1065, 1001, 2203, 10128, 1013, 1013, 1035, 23794, 1035, 2310, 2099, 1013, 1013, 2298, 2005, 1996, 1000, 5034, 2278, 1000, 14176, 1012, 5164, 17576, 1027, 1000, 1012, 1000, 1025, 2096, 1006, 999, 5371, 1024, 1024, 6526, 1006, 17576, 1009, 1000, 1013, 5034, 2278, 1013, 8224, 1013, 15053, 8569, 2546, 1000, 1007, 1007, 1063, 2065, 1006, 999, 5371, 1024, 1024, 6526, 1006, 17576, 1007, 1007, 1063, 8224, 1035, 8833, 1006, 10611, 1007, 1026, 1026, 1000, 2071, 2025, 2424, 15053, 8569, 2546, 3120, 3642, 1012, 3531, 2448, 5852, 2013, 1000, 1000, 4873, 2306, 1996, 15053, 8569, 2546, 3120, 7427, 1012, 1000, 1025, 1065, 17576, 1009, 1027, 1000, 1013, 1012, 1012, 1000, 1025, 1065, 2709, 17576, 1009, 1000, 1013, 5034, 2278, 1000, 1025, 1001, 2203, 10128, 1013, 1013, 8224, 1035, 15053, 8569, 2546, 1035, 3231, 1035, 3120, 1035, 4130, 1001, 2842, 2709, 1000, 2353, 1035, 2283, 1013, 15053, 8569, 2546, 1013, 5034, 2278, 1000, 1025, 1001, 2203, 10128, 1013, 1013, 8224, 1035, 2353, 1035, 2283, 1035, 15053, 8569, 2546, 1065, 3415, 15327, 1063, 5164, 2131, 18532, 17822, 5649, 4305, 2890, 16761, 18279, 4168, 1006, 1007, 1063, 1013, 1013, 5852, 2448, 2104, 8670, 12638, 1000, 2323, 2025, 1000, 2224, 1013, 1056, 8737, 1012, 8670, 12638, 4520, 2023, 4044, 1013, 1013, 8023, 2005, 5852, 2000, 2224, 2612, 1012, 25869, 1008, 2013, 1035, 4044, 1027, 2131, 2368, 2615, 1006, 1000, 3231, 1035, 1056, 8737, 4305, 2099, 1000, 1007, 1025, 2065, 1006, 2013, 1035, 4044, 999, 1027, 19701, 1004, 1004, 2013, 1035, 4044, 1031, 1014, 1033, 999, 1027, 1005, 1032, 1014, 1005, 1007, 1063, 2709, 5164, 1006, 2013, 1035, 4044, 1007, 1009, 1000, 1013, 15053, 8569, 2546, 1035, 1056, 8737, 4305, 2099, 1000, 1025, 1065, 1013, 1013, 1056, 8737, 13129, 1006, 1007, 2003, 3227, 2025, 2641, 3647, 2021, 2057, 1005, 2128, 2069, 2478, 2009, 2005, 1013, 1013, 5604, 1012, 2057, 3685, 2224, 1056, 8737, 8873, 2571, 1006, 1007, 2030, 12395, 13473, 8737, 1006, 1007, 2144, 2057, 1005, 2128, 4526, 1037, 1013, 1013, 14176, 1012, 25869, 1038, 1031, 1048, 1035, 1056, 8737, 13129, 1009, 1015, 1033, 1025, 1013, 1013, 6522, 5602, 4800, 2705, 16416, 2094, 2709, 1014, 2065, 1055, 2003, 1014, 5164, 2765, 1027, 1056, 8737, 13129, 1006, 1038, 1007, 1025, 1001, 2065, 3207, 2546, 1035, 2663, 16703, 1013, 1013, 4468, 1037, 12542, 11089, 2011, 5278, 2009, 2000, 2019, 2104, 9363, 2890, 1012, 2006, 2663, 16703, 1996, 3415, 1997, 1013, 1013, 6764, 1998, 2472, 3111, 2064, 1010, 2021, 2323, 2025, 1010, 2203, 2007, 11089, 1012, 1013, 1013, 1013, 1013, 1999, 5796, 1011, 9998, 1998, 6638, 16048, 6764, 27268, 6633, 1996, 5371, 18442, 2015, 2020, 1022, 27364, 2509, 2806, 2061, 2009, 2134, 1005, 1056, 1013, 1013, 2191, 3168, 2000, 2031, 1037, 2171, 4566, 1999, 11089, 2302, 2019, 5331, 1010, 2061, 1996, 5806, 1013, 1013, 8601, 6439, 12542, 14981, 1012, 2000, 2023, 2154, 1996, 2663, 16703, 17928, 2145, 9319, 1013, 1013, 2023, 5248, 1998, 8601, 26663, 12542, 14981, 1999, 4130, 9918, 1997, 1013, 1013, 4972, 2107, 2004, 3443, 8873, 2571, 1063, 1037, 1010, 1059, 1065, 1012, 2130, 13433, 5332, 2595, 17928, 3853, 24977, 1013, 1013, 4025, 2000, 10236, 1996, 2663, 16703, 17928, 4972, 1006, 1041, 1012, 1043, 1012, 2580, 7442, 16761, 3148, 1007, 1998, 16582, 1013, 1013, 2023, 2126, 1012, 1013, 1013, 2009, 1005, 1055, 2825, 2000, 4468, 2023, 5248, 1998, 3443, 6764, 1013, 2472, 3111, 2007, 1013, 1013, 12542, 14981, 1006, 2478, 3443, 8873, 2571, 2860, 1013, 2580, 7442, 16761, 2100, 2860, 1998, 17576, 2075, 1996, 4130, 1013, 1013, 2007, 1000, 1032, 1032, 1029, 1032, 1000, 1007, 2021, 2122, 2097, 2022, 2139, 6914, 22139, 1999, 1996, 3168, 2008, 2017, 3685, 1013, 1013, 10381, 4305, 2099, 2046, 2107, 2472, 3111, 1006, 2030, 22149, 2046, 2068, 2007, 3645, 10566, 1007, 1013, 1013, 4496, 2064, 2017, 2330, 2107, 6764, 2007, 2070, 3454, 1006, 1041, 1012, 1043, 1012, 3602, 15455, 1007, 1012, 2065, 1006, 2765, 1012, 2067, 1006, 1007, 1027, 1027, 1005, 1012, 1005, 1007, 1063, 2765, 1031, 2765, 1012, 2946, 1006, 1007, 1011, 1015, 1033, 1027, 1005, 1035, 1005, 1025, 1065, 1013, 1013, 2006, 2663, 16703, 1010, 1056, 8737, 13129, 1006, 1007, 5651, 1037, 5371, 17576, 2098, 2007, 1005, 1032, 1005, 1010, 2021, 2029, 2003, 4011, 1013, 1013, 2000, 2022, 2109, 1999, 1996, 2783, 2551, 14176, 1012, 1059, 24475, 1029, 2065, 1006, 2038, 28139, 8873, 2595, 3367, 4892, 1006, 2765, 1010, 1000, 1032, 1032, 1000, 1007, 1007, 1063, 2765, 1012, 22505, 1006, 1014, 1010, 1015, 1007, 1025, 1065, 1013, 1013, 1996, 2663, 16703, 17928, 13385, 2830, 18296, 2229, 2004, 1037, 4130, 3972, 27605, 3334, 2004, 2146, 2004, 1996, 1013, 1013, 4130, 2987, 1005, 1056, 2224, 1996, 1000, 1032, 1032, 1029, 1032, 1000, 17576, 1012, 1013, 1013, 2292, 1005, 1055, 4468, 6724, 1998, 2224, 2069, 2830, 18296, 2229, 1012, 2765, 1027, 5164, 2890, 24759, 10732, 1006, 2765, 1010, 1000, 1032, 1032, 1000, 1010, 1000, 1013, 1000, 1010, 2995, 1007, 1025, 1001, 2203, 10128, 1013, 1013, 1035, 2663, 16703, 2709, 2765, 1025, 1065, 1013, 1013, 9005, 1037, 5741, 14176, 2006, 5157, 1998, 3972, 12870, 2015, 2009, 2043, 1996, 2832, 1013, 1013, 8046, 2015, 1012, 2465, 8915, 8737, 4305, 25547, 25890, 2099, 1063, 2270, 1024, 8915, 8737, 4305, 25547, 25890, 2099, 1006, 1007, 1063, 1065, 1066, 8915, 8737, 4305, 25547, 25890, 2099, 1006, 1007, 1063, 2065, 1006, 999, 2171, 1035, 1012, 4064, 1006, 1007, 1007, 1063, 5371, 1024, 1024, 3972, 15141, 8586, 9236, 14547, 1006, 2171, 1035, 1010, 19701, 1010, 19701, 1007, 1025, 1065, 1065, 5164, 2131, 18532, 17299, 4313, 1006, 1007, 1063, 2065, 1006, 2171, 1035, 1012, 4064, 1006, 1007, 1007, 1063, 2171, 1035, 1027, 2131, 18532, 17822, 5649, 4305, 2890, 16761, 18279, 4168, 1006, 1007, 1025, 8224, 1035, 4638, 1006, 12395, 4305, 2099, 1006, 2171, 1035, 1012, 1039, 1035, 2358, 2099, 1006, 1007, 1010, 5718, 2581, 2581, 1007, 1027, 1027, 1014, 1007, 1026, 1026, 2358, 14544, 29165, 1006, 9413, 19139, 1007, 1025, 1013, 1013, 6293, 1037, 5371, 1999, 1996, 14176, 2008, 4136, 2111, 2054, 2023, 2003, 1010, 1999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 6887, 27292, 2050, 5821, 27068, 5649, 2019, 4522, 2126, 2005, 4319, 3316, 2000, 3073, 3891, 2592, 2055, 1037, 4319, 1999, 1037, 3743, 4748, 1012, 4319, 3316, 3227, 2442, 2421, 2035, 1997, 1037, 4319, 1005, 1055, 3891, 2592, 1999, 1037, 4031, 4366, 4748, 1012, 1999, 6140, 14997, 1010, 2027, 2788, 2079, 2023, 1999, 1996, 1000, 4766, 12654, 1012, 1000, 2023, 4766, 12654, 2052, 2202, 2116, 2781, 2000, 3191, 2030, 17186, 2091, 1037, 2694, 3898, 1012, 1996, 2375, 4473, 3743, 14997, 2000, 2421, 2069, 1996, 2087, 2590, 3891, 2592, 2065, 1996, 14997, 2425, 7193, 2030, 13810, 2129, 2000, 2131, 1996, 2440, 17473, 1011, 4844, 3653, 11020, 3089, 10472, 2592, 1010, 2029, 2038, 2035, 1996, 4319, 1005, 1055, 10831, 1012, 2000, 3113, 1996, 1000, 11706, 9347, 1000, 9095, 1010, 1996, 3743, 4748, 2442, 3073, 3971, 2000, 2424, 1996, 4319, 1005, 1055, 17473, 1011, 4844, 3653, 11020, 3089, 10472, 2592, 1012, 3743, 14997, 2064, 3113, 1996, 1000, 11706, 9347, 1000, 9095, 2011, 3228, 1037, 2193, 1997, 4216, 2005, 4531, 1037, 4319, 1005, 1055, 3653, 11020, 3089, 10472, 2592, 1012, 2122, 2421, 1024, 3867, 1997, 21656, 1997, 1037, 4319, 2579, 2004, 16250, 2005, 2972, 2558, 1997, 2817, 1006, 12646, 1009, 28297, 1007, 1025, 2000, 11506, 1996, 5372, 2969, 1011, 3447, 1997, 3949, 2007, 1037, 5776, 1005, 1055, 13423, 2007, 2009, 1012, 2073, 2000, 2424, 2062, 2592, 1024, 2019, 15316, 4319, 4668, 1006, 4748, 2099, 1007, 2003, 2019, 4544, 3303, 2011, 2635, 1037, 14667, 1012, 4748, 2869, 2089, 5258, 2206, 1037, 2309, 13004, 2030, 15330, 3447, 1997, 1037, 4319, 2030, 2765, 2013, 1996, 5257, 1997, 2048, 2030, 2062, 5850, 1012, 1996, 3574, 1997, 2023, 3670, 12980, 2013, 1996, 3574, 1997, 1000, 2217, 3466, 1000, 1010, 2004, 2023, 2197, 3670, 2453, 2036, 19515, 2008, 1996, 3896, 2064, 2022, 15189, 1012, 1996, 2817, 1997, 4748, 2869, 2003, 1996, 5142, 1997, 1996, 2492, 2124, 2004, 6887, 27292, 22684, 5737, 20142, 6651, 1012, 2019, 15316, 4319, 2724, 1006, 4748, 2063, 1007, 5218, 2000, 2151, 4544, 10066, 2012, 1996, 2051, 1037, 4319, 2003, 2109, 1010, 3251, 2030, 2025, 2009, 2003, 4453, 2004, 1037, 3426, 1997, 1996, 4544, 1012, 2019, 4748, 2099, 2003, 1037, 2569, 2828, 1997, 4748, 2063, 1999, 2029, 1037, 6187, 10383, 6024, 3276, 2064, 2022, 3491, 1012, 2019, 15316, 4319, 4668, 2003, 1000, 2019, 10439, 2890, 7405, 6321, 17631, 2030, 16010, 4668, 1010, 4525, 2013, 2019, 8830, 3141, 2000, 1996, 2224, 1997, 1037, 20632, 4031, 1010, 2029, 16014, 2015, 15559, 2013, 2925, 3447, 1998, 10943, 2015, 9740, 2030, 3563, 3949, 1010, 2030, 26014, 1997, 1996, 9998, 4270, 6939, 2078, 1010, 2030, 10534, 1997, 1996, 4031, 1012, 1000, 2107, 9597, 2024, 2747, 2988, 2011, 2224, 1997, 2040, 1005, 1055, 15316, 4668, 18444, 1010, 2029, 2097, 2776, 2468, 1037, 16745, 1997, 1996, 2248, 5579, 1997, 7870, 1012, 15316, 4319, 9597, 2024, 6219, 2046, 2416, 4127, 1006, 2007, 24098, 26941, 6558, 1007, 1024, 13004, 1011, 3141, 1006, 19335, 1007, 1010, 2512, 1011, 13004, 1011, 3141, 1006, 13576, 1007, 1010, 13004, 1011, 3141, 1998, 2051, 1011, 3141, 1006, 11888, 1007, 1010, 2051, 1011, 3141, 1006, 8394, 1007, 1010, 10534, 1006, 2203, 1997, 2224, 1007, 1010, 1998, 4945, 1997, 7242, 1006, 4945, 1007, 1012, 10984, 1010, 1996, 5418, 1997, 7355, 1010, 1996, 3463, 1997, 9751, 1010, 1998, 28667, 9892, 13159, 2063, 2064, 2393, 17961, 28102, 3012, 2000, 1037, 6878, 15316, 4319, 4668, 1012, 2968, 2950, 10534, 1997, 1996, 4319, 2065, 2825, 1998, 3563, 3949, 1997, 2049, 3896, 1012, 6878, 15316, 4319, 9597, 2323, 2022, 2988, 1012, 9867, 4725, 2064, 11487, 9597, 1998, 6011, 8924, 1012, 1996, 6210, 1997, 1000, 15316, 2724, 1000, 2005, 2119, 20422, 5850, 1998, 23444, 25654, 2003, 1000, 2151, 2740, 1011, 3141, 2724, 3378, 2007, 1996, 2224, 1997, 1037, 2008, 2003, 15316, 1000, 1012, 2023, 2071, 2421, 2151, 4895, 7011, 14550, 3085, 1998, 4895, 18447, 21945, 3696, 2164, 2019, 19470, 5911, 4531, 1010, 25353, 27718, 5358, 2030, 4295, 1010, 1998, 1010, 2062, 5667, 1010, 2331, 1012, 17473, 11859, 2019, 15316, 4319, 3325, 2004, 1000, 2151, 15316, 2724, 3378, 2007, 1996, 2224, 1997, 1037, 4319, 1999, 4286, 1010, 3251, 2030, 2025, 2641, 4319, 3141, 1010, 2164, 1996, 2206, 1024, 2019, 15316, 2724, 10066, 1999, 1996, 2607, 1997, 1996, 2224, 1997, 1037, 4319, 4031, 1999, 2658, 3218, 1025, 2019, 15316, 2724, 10066, 2013, 4319, 26641, 3251, 17128, 2030, 21249, 1025, 2019, 15316, 2724, 10066, 2013, 4319, 6905, 1025, 2019, 15316, 2724, 10066, 2013, 4319, 10534, 1025, 1998, 2151, 4945, 1997, 3517, 6887, 27292, 22684, 9966, 2895, 1012, 1000, 17473, 1005, 1055, 19960, 18866, 2433, 1010, 2029, 2003, 2109, 2011, 11572, 1998, 10390, 2000, 3189, 15316, 2824, 1010, 2950, 1996, 2206, 13105, 7108, 2000, 15316, 2824, 1024, 2331, 2166, 1011, 8701, 2902, 3989, 11980, 2030, 4568, 4053, 27480, 19470, 3012, 3223, 8830, 2000, 4652, 4568, 25172, 2030, 4053, 1996, 17473, 5942, 13859, 3316, 2000, 8080, 1998, 3189, 2035, 15316, 2824, 2009, 10229, 2055, 8800, 2000, 2049, 3688, 1012, 1996, 4034, 24273, 1000, 11422, 3625, 2005, 7316, 2097, 13364, 3319, 2035, 15316, 2724, 2592, 2363, 2030, 4728, 4663, 1010, 2029, 9280, 2950, 2592, 2013, 1996, 4274, 1998, 2591, 2865, 5906, 1012, 1000, 2107, 2824, 2323, 2022, 2988, 2000, 17473, 2065, 2045, 2003, 3716, 1997, 1996, 2176, 3937, 3787, 2005, 12339, 1997, 2019, 3265, 2553, 3808, 3189, 1010, 8419, 1024, 2019, 27800, 5776, 2019, 27800, 6398, 1037, 8343, 4319, 2030, 6897, 4031, 2019, 15316, 3325, 2030, 10611, 9560, 6878, 2000, 2022, 2349, 2000, 1996, 8343, 4319, 2030, 6897, 4031, 17473, 8606, 2163, 2008, 2216, 11422, 2323, 3319, 2151, 4274, 4573, 6485, 2011, 2068, 2005, 15316, 3325, 2592, 1010, 2021, 2024, 2025, 3625, 2005, 15252, 2151, 4274, 4573, 2008, 2027, 2079, 2025, 10460, 1025, 2174, 1010, 2065, 2027, 2468, 5204, 1997, 2019, 15316, 3325, 2006, 2019, 4274, 2609, 2008, 2027, 2079, 2025, 10460, 1010, 2027, 2323, 3319, 1996, 15316, 3325, 1998, 5646, 2065, 2009, 2323, 2022, 2988, 2000, 17473, 1012, 17473, 5942, 8712, 1010, 15285, 1010, 1998, 22495, 1997, 11625, 20422, 4319, 3688, 2000, 5323, 1998, 5441, 2636, 1998, 2191, 4311, 2000, 17473, 1997, 2035, 3809, 1010, 9223, 15316, 4319, 6322, 3378, 2007, 1996, 2224, 1997, 2037, 4319, 3688, 1012, 6887, 27292, 2050, 3316, 2442, 2036, 4503, 2517, 8853, 2005, 1996, 9867, 1010, 24306, 1010, 9312, 1010, 1998, 7316, 1997, 2695, 20285, 2075, 15316, 4319, 6322, 2000, 17473, 1012, 17473, 2375, 5942, 13859, 3316, 2000, 18043, 3189, 2151, 4748, 6777, 22573, 2824, 2009, 2038, 3716, 1997, 1012, 2077, 6195, 2151, 6612, 5043, 2005, 12339, 2000, 1996, 17473, 1999, 2019, 4654, 5669, 17572, 2030, 15861, 3808, 3189, 1010, 17362, 1010, 8712, 1010, 1998, 7000, 8712, 2323, 2031, 3716, 1997, 1996, 2206, 2176, 23755, 2015, 3787, 1024, 2019, 27800, 5776, 1025, 1998, 27800, 6398, 1025, 1037, 8343, 4319, 1010, 6897, 4031, 1010, 2030, 5080, 1025, 1998, 2019, 15316, 2724, 2030, 10611, 9560, 1012, 2429, 2000, 1996, 17473, 1010, 1000, 7316, 1997, 15316, 2824, 2013, 1996, 2391, 1997, 2729, 2003, 10758, 1999, 1996, 2142, 2163, 1012, 17473, 8267, 2070, 15316, 2724, 1998, 14667, 7561, 4311, 3495, 2013, 2740, 2729, 8390, 1006, 2107, 2004, 11572, 1010, 6887, 27292, 6305, 5130, 1010, 11500, 1998, 2500, 1007, 1998, 10390, 1006, 2107, 2004, 5022, 1010, 2155, 2372, 1010, 9559, 1998, 2500, 1007, 1012, 9871, 8390, 1998, 10390, 2089, 2036, 3189, 2122, 2824, 2000, 1996, 3688, 2050, 30102, 30108, 8712, 1012, 2065, 1037, 7751, 8267, 2019, 15316, 2724, 3189, 1010, 2009, 2003, 3223, 2000, 4604, 1996, 3189, 2000, 17473, 2004, 9675, 2011, 7040, 1000, 1006, 2156, 1000, 15316, 2724, 7316, 2291, 1006, 29347, 2869, 1007, 1000, 1007, 1012, 2073, 2000, 2424, 2062, 2592, 1024, 8800, 2000, 1037, 2754, 1999, 1037, 5776, 1005, 1055, 5248, 4818, 14967, 2007, 7634, 2000, 1037, 2966, 4650, 1999, 2029, 1996, 5776, 2003, 2074, 4531, 2041, 2055, 1996, 4650, 1998, 3251, 2009, 2566, 18249, 2015, 2000, 2032, 2030, 2014, 1012, 13449, 7233, 3454, 2411, 6523, 2000, 2093, 5711, 1997, 5248, 2877, 2000, 7233, 1024, 7073, 1010, 9920, 1010, 1998, 2895, 1012, 2023, 14967, 2089, 2022, 2170, 1000, 1996, 2093, 1037, 1005, 1055, 1000, 1998, 2003, 2109, 2004, 1037, 6994, 2000, 2393, 2111, 2272, 2000, 3408, 2007, 2037, 13449, 1012, 1996, 2168, 5248, 4818, 14967, 2003, 2464, 2007, 5022, 2746, 2000, 3408, 2007, 1037, 11888, 2966, 4650, 1012, 5022, 2342, 2367, 2592, 2013, 16746, 1998, 5821, 7696, 2342, 2000, 2689, 2004, 16746, 2175, 2083, 1996, 14260, 14967, 3225, 2012, 7073, 1006, 2074, 4531, 2041, 2055, 1996, 4650, 1998, 3251, 2009, 2566, 18249, 2015, 2000, 2068, 1007, 1010, 3048, 2000, 9920, 1006, 1996, 4022, 3891, 2038, 2042, 3167, 3550, 1998, 1996, 9824, 2003, 6195, 6224, 2592, 1998, 1013, 2030, 9312, 1007, 1010, 1998, 2633, 7194, 2012, 2895, 1006, 3201, 2000, 2831, 2007, 7522, 2055, 3949, 2030, 2003, 2525, 2006, 7242, 1007, 1012, 13859, 3006, 2545, 2411, 2224, 1996, 2744, 1000, 4295, 7073, 1000, 1998, 3046, 2000, 3623, 1996, 3006, 2946, 1997, 1037, 17261, 2181, 2011, 2478, 26718, 2278, 6475, 1998, 7522, 5821, 2000, 1000, 3857, 1000, 7073, 1997, 1037, 3327, 2966, 4650, 1012, 2019, 2742, 2052, 2022, 14997, 2005, 1000, 2058, 19620, 24176, 1010, 1000, 2029, 2031, 2042, 3144, 1999, 2311, 7073, 2426, 10390, 1997, 1037, 2966, 4650, 1006, 24471, 3981, 2854, 4297, 12162, 21820, 3401, 2030, 19353, 1007, 2008, 2116, 2245, 2001, 2069, 1997, 5142, 2005, 3026, 4480, 1012, 2759, 4696, 1996, 6887, 27292, 2050, 5821, 2897, 29656, 2001, 2511, 1999, 2494, 2011, 2198, 11349, 1006, 9875, 6887, 27292, 8490, 26230, 1007, 1012, 2256, 7552, 3260, 2003, 2000, 3613, 1996, 2147, 2198, 2318, 1025, 4092, 3606, 2000, 2373, 1010, 4851, 7823, 3980, 1010, 1998, 2311, 2023, 2412, 1011, 3652, 2451, 1997, 9530, 11020, 11638, 6313, 8390, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10381, 4948, 2891, 2097, 2735, 2151, 3422, 2046, 1037, 6047, 18866, 1011, 4013, 16033, 9453, 2595, 8299, 1024, 1013, 1013, 7479, 1012, 22950, 1012, 4012, 1013, 2739, 1013, 4790, 1013, 2325, 1011, 2340, 1011, 5709, 1013, 10381, 4948, 2891, 1011, 2097, 1011, 2735, 1011, 2151, 1011, 3422, 1011, 2046, 1011, 1037, 1011, 6047, 18866, 1027, 1027, 1027, 1027, 1027, 1027, 16392, 14622, 2008, 2111, 2066, 2037, 4493, 12197, 2003, 1037, 2307, 2801, 1012, 1996, 8051, 3504, 2428, 13554, 2205, 1012, 1996, 2502, 3291, 1010, 2028, 2008, 21358, 29301, 2015, 3492, 2172, 2296, 6047, 18866, 1010, 2003, 2028, 1997, 6046, 2166, 1012, 2028, 1997, 1996, 2307, 2477, 2055, 2512, 1011, 6047, 12197, 2003, 2008, 2027, 2448, 2005, 2086, 1010, 2025, 2420, 1012, 10381, 4948, 2891, 2987, 1005, 1056, 11826, 2023, 22718, 1006, 2348, 2028, 3835, 2518, 1059, 1013, 10381, 4948, 2891, 2003, 2008, 2065, 2028, 5293, 2015, 2000, 3715, 1010, 1996, 2364, 3422, 2097, 3613, 2000, 2147, 1007, 1012, 1066, 1066, 1066, 17710, 11106, 4609, 1045, 2228, 2008, 1005, 1055, 1996, 13675, 5602, 1012, 2049, 4563, 15380, 1006, 2051, 4363, 1007, 2003, 2025, 19701, 2098, 2043, 2017, 5293, 2000, 3715, 1012, 2036, 1010, 6046, 2166, 2003, 1017, 2420, 1006, 10086, 1024, 4029, 2847, 1007, 1010, 4593, 1010, 2061, 2488, 2084, 2151, 2060, 6047, 18866, 2041, 2045, 999, 1006, 10086, 1024, 3272, 1996, 21877, 11362, 1007, 4606, 1010, 2009, 3504, 2066, 2009, 9909, 2498, 2000, 1996, 2783, 3422, 1999, 3408, 1997, 3635, 1013, 3872, 999, 1066, 1066, 1066, 4775, 10010, 28402, 1996, 21877, 11362, 2003, 2583, 2000, 2005, 1037, 2733, 2302, 11303, 2000, 2022, 5338, 1012, 1031, 16770, 1024, 1013, 1013, 2393, 1012, 2131, 5051, 11362, 1012, 4012, 1013, 8013, 1013, 9445, 1013, 4790, 1013, 16734, 12740, 16048, 1011, 1012, 1012, 1012, 1033, 1006, 16770, 1024, 1013, 1013, 2393, 1012, 2131, 5051, 11362, 1012, 4012, 1013, 8013, 1013, 9445, 1013, 4790, 1013, 16734, 12740, 16048, 1011, 6046, 1011, 2166, 1007, 1066, 1066, 1066, 19387, 26952, 1998, 2043, 2009, 3216, 2000, 1014, 1003, 1010, 2009, 3632, 2046, 1000, 3422, 2069, 1000, 5549, 2005, 1037, 2154, 2030, 2061, 1010, 2073, 2009, 2074, 3065, 1996, 2051, 1011, 1011, 1011, 1011, 1011, 1011, 2310, 2595, 2015, 2008, 1005, 1055, 1012, 1012, 1012, 1037, 2428, 2204, 2801, 1012, 2074, 3752, 2058, 1996, 3720, 1045, 2001, 2667, 2000, 2424, 2070, 3277, 2007, 1996, 10381, 4948, 2891, 1010, 1998, 1045, 2428, 2064, 1005, 1056, 1012, 2431, 1996, 9710, 1997, 2026, 21877, 11362, 2003, 2009, 6819, 25258, 2043, 1045, 2131, 1037, 26828, 1010, 2029, 2003, 2428, 2035, 2017, 2342, 1012, 1996, 2419, 7814, 1997, 2009, 3849, 2066, 1037, 2204, 5576, 2005, 2009, 1005, 1055, 3768, 1997, 3898, 1012, 1996, 2069, 3277, 1045, 2064, 2156, 2007, 1996, 5080, 3475, 2102, 2941, 3141, 2000, 1996, 5080, 1011, 2009, 3504, 2066, 2009, 9041, 2006, 16350, 4781, 1010, 3574, 2009, 3791, 2049, 2219, 18726, 1998, 18008, 1012, 2065, 11501, 2063, 4122, 2000, 2490, 2178, 6047, 18866, 1999, 2037, 10439, 1010, 2023, 2003, 2757, 2077, 2009, 4978, 1996, 2300, 1012, 1066, 1066, 1066, 5745, 10024, 13290, 21890, 5993, 6135, 2055, 1996, 21877, 11362, 6819, 22008, 3853, 1012, 1045, 5223, 4994, 2026, 3042, 3614, 1998, 2467, 2562, 2009, 2006, 6819, 22008, 1010, 2021, 2823, 2017, 2123, 1005, 1056, 2514, 1037, 4979, 17880, 1999, 2115, 4979, 1012, 2044, 9301, 1037, 6283, 2035, 1997, 21877, 11362, 1005, 1055, 18726, 1010, 1998, 2025, 11303, 1037, 3422, 2227, 2000, 2425, 2051, 1010, 21877, 11362, 2074, 2150, 1037, 7223, 17880, 2316, 2005, 2026, 3793, 7696, 1012, 2021, 2008, 3444, 2894, 2003, 2438, 2005, 2033, 2000, 2562, 1996, 5080, 2105, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 8957, 3597, 23212, 2229, 2129, 2055, 2242, 2066, 2023, 3272, 2191, 2009, 2004, 1037, 3422, 16195, 1029, 2017, 2071, 2074, 5672, 2115, 16195, 1998, 2025, 2191, 2115, 3422, 19638, 1006, 2026, 9004, 21392, 3726, 2043, 2009, 3310, 2000, 12197, 1007, 1012, 2017, 2071, 2763, 2130, 2031, 1037, 3469, 6046, 1998, 2031, 2009, 2197, 2005, 2195, 2420, 1012, 2087, 3422, 19702, 2024, 3115, 1998, 2593, 2324, 7382, 2030, 2322, 7382, 1012, 2017, 1005, 1040, 2036, 2022, 2469, 2009, 2876, 1005, 1056, 2991, 2125, 1011, 1045, 2113, 2027, 2360, 1996, 10381, 4948, 2891, 2180, 1005, 1056, 2991, 2125, 2021, 2272, 2006, 1010, 2116, 2111, 4995, 1005, 1056, 2183, 2000, 3404, 12702, 10514, 7542, 1012, 1066, 1066, 1066, 10424, 5178, 2243, 1031, 16770, 1024, 1013, 1013, 7479, 1012, 14590, 7559, 3334, 1012, 4012, 1013, 3934, 1013, 11118, 14142, 2581, 2575, 14142, 2487, 1013, 4310, 1011, 2191, 1011, 1012, 1012, 1012, 1033, 1006, 16770, 1024, 1013, 1013, 7479, 1012, 14590, 7559, 3334, 1012, 4012, 1013, 3934, 1013, 11118, 14142, 2581, 2575, 14142, 2487, 1013, 4310, 1011, 2191, 1011, 2151, 1011, 3422, 1011, 1037, 1011, 6047, 18866, 1007, 2003, 1037, 6047, 16195, 2066, 2017, 6235, 1012, 6854, 2009, 3849, 2000, 2022, 2738, 4317, 1012, 1045, 4797, 2009, 2064, 2298, 1998, 2514, 2004, 2204, 2004, 1037, 19638, 3422, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 2848, 2860, 16584, 15166, 2099, 12266, 1012, 9023, 2000, 2033, 1024, 1045, 2031, 1037, 28651, 3422, 2007, 1037, 8903, 16195, 1010, 1996, 2069, 3422, 1045, 1005, 2310, 2412, 2042, 2583, 2000, 4929, 18579, 2005, 3668, 6993, 1012, 1045, 1005, 1049, 2061, 2109, 2000, 2009, 1006, 1998, 1045, 3335, 2009, 1035, 1037, 2843, 1035, 2043, 2009, 3632, 1999, 2005, 2326, 1007, 2008, 1045, 2097, 3497, 2196, 5672, 2009, 1011, 2750, 2383, 2521, 2062, 2965, 2084, 2043, 1045, 4149, 2009, 1010, 1998, 2070, 3037, 1999, 6047, 12197, 1012, 10381, 4948, 2891, 2965, 1045, 2131, 2000, 2562, 2009, 1035, 1998, 1035, 2131, 6047, 3422, 15380, 1012, 4658, 1012, 1066, 1066, 1066, 17531, 11261, 4135, 9041, 1012, 1045, 1005, 1049, 8025, 2065, 2300, 18907, 2950, 28651, 1011, 11143, 1012, 1045, 2514, 2066, 2009, 2987, 1005, 1056, 7166, 2000, 1066, 1066, 1066, 19564, 2053, 3422, 2003, 1000, 2300, 6947, 1000, 1010, 2027, 2024, 2069, 2300, 1011, 13070, 1012, 1996, 3231, 3632, 2066, 2023, 1024, 2404, 1996, 3422, 1999, 1037, 4574, 2440, 1997, 2300, 1010, 2811, 9496, 4371, 2009, 2000, 1996, 5662, 5995, 1010, 3288, 2009, 2067, 2000, 1996, 3302, 1010, 2515, 2009, 2145, 2147, 1029, 2054, 2023, 3231, 27590, 2015, 2003, 2008, 2008, 2987, 1005, 1056, 8339, 2129, 12197, 2024, 2109, 1041, 1012, 1043, 1012, 2079, 1996, 11287, 3233, 2039, 2000, 6183, 2043, 2012, 5995, 1029, 2515, 3048, 2115, 7223, 3426, 1996, 2553, 2000, 23951, 17727, 2121, 3401, 13876, 17296, 1010, 4385, 1029, 2023, 2003, 2339, 9404, 12197, 2031, 11320, 14808, 13288, 11143, 2006, 2068, 1010, 3998, 2213, 1998, 5174, 2213, 1010, 2138, 2017, 2342, 2008, 2785, 1997, 10763, 3997, 2000, 3233, 2039, 2000, 3671, 2224, 2012, 2382, 2213, 2030, 2753, 2213, 1012, 2045, 2003, 2053, 2126, 2008, 2023, 5080, 2097, 2022, 7218, 2005, 28651, 1012, 2763, 7929, 2005, 5742, 27793, 1005, 2004, 2009, 2038, 2053, 11287, 1012, 2021, 2144, 2009, 1005, 1055, 6366, 3085, 1010, 2004, 2178, 9404, 3422, 4929, 2121, 1010, 1045, 1005, 1049, 4699, 1012, 1012, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 2123, 18471, 14322, 2023, 5023, 6047, 3422, 2428, 19566, 2054, 2928, 11417, 8043, 3214, 2043, 2002, 2626, 2055, 28498, 9798, 1999, 2010, 4045, 2137, 1057, 13592, 25377, 3720, 1000, 1996, 3274, 2005, 1996, 7398, 2301, 1000, 1031, 1015, 1033, 1024, 1000, 1996, 2087, 13769, 6786, 2024, 2216, 2008, 10436, 1012, 2027, 25308, 3209, 2046, 1996, 8313, 1997, 10126, 2166, 2127, 2027, 2024, 27427, 2923, 2075, 27020, 25459, 2571, 2013, 2009, 1012, 1000, 1000, 2107, 1037, 13406, 2003, 1037, 8050, 9509, 2025, 1997, 2974, 1010, 2021, 1997, 2529, 6825, 1012, 7188, 2111, 4553, 2242, 12949, 2092, 1010, 2027, 13236, 2000, 2022, 5204, 1997, 2009, 1012, 2043, 2017, 2298, 2012, 1037, 2395, 3696, 1010, 2005, 2742, 1010, 2017, 16888, 2049, 2592, 2302, 24447, 4488, 1996, 2552, 1997, 3752, 1012, 1012, 3274, 7155, 1010, 11708, 1010, 1998, 10501, 2923, 12810, 4079, 4455, 2023, 9575, 1000, 21953, 1000, 1025, 9667, 2745, 14955, 19092, 2072, 4455, 2009, 1996, 1000, 11937, 26243, 9812, 1000, 1025, 15034, 1056, 2243, 9406, 4455, 2009, 1000, 5107, 23915, 2015, 1000, 1025, 17586, 12062, 11721, 17130, 2121, 1998, 3235, 2002, 5178, 13327, 2655, 2009, 1000, 1996, 9154, 1000, 1998, 1996, 1000, 3201, 1011, 2000, 1011, 2192, 1000, 1010, 2198, 2156, 2135, 2829, 2012, 27985, 4455, 2009, 1996, 1000, 23275, 1000, 1012, 2035, 2360, 1010, 1999, 11305, 1010, 2008, 2069, 2043, 2477, 10436, 1999, 2023, 2126, 2024, 2057, 10650, 2000, 2224, 2068, 2302, 3241, 1998, 2061, 2000, 3579, 3458, 2068, 2006, 2047, 3289, 1012, 1000, 1000, 2129, 2079, 6786, 10436, 2046, 1996, 4281, 1029, 1996, 24866, 1997, 3751, 9693, 2089, 3710, 2004, 2019, 16021, 18300, 3512, 2742, 1024, 2012, 1996, 2735, 1997, 1996, 2301, 1010, 1037, 5171, 8395, 2030, 4713, 4838, 1037, 2309, 3194, 2008, 5225, 9877, 2030, 5606, 1997, 2367, 6681, 2083, 1037, 2291, 1997, 20542, 1998, 4139, 3240, 2015, 1012, 10036, 1010, 2235, 1010, 8114, 3751, 9693, 2081, 2009, 2825, 2034, 2000, 2507, 2169, 3698, 2030, 6994, 2049, 2219, 3120, 1997, 15793, 2486, 1010, 2059, 2000, 2404, 2116, 9693, 2046, 1037, 2309, 3698, 1012, 1000, 2928, 11417, 8043, 2006, 28498, 9798, 1024, 1031, 1016, 1033, 1000, 28498, 9798, 3415, 1996, 2353, 4400, 1999, 9798, 1010, 2074, 2085, 2927, 1012, 2034, 2020, 2364, 15643, 2015, 1010, 2169, 4207, 2011, 7167, 1997, 2111, 1012, 2085, 2057, 2024, 1999, 1996, 3167, 9798, 3690, 1010, 2711, 1998, 3698, 4582, 16655, 21369, 2135, 2012, 2169, 2060, 2408, 1996, 15363, 1012, 2279, 3310, 28498, 9798, 1010, 2030, 1996, 2287, 1997, 5475, 2974, 1010, 2043, 2974, 28667, 18352, 2046, 1996, 4281, 1997, 2256, 3268, 1012, 5070, 10905, 1997, 6207, 4455, 2023, 1000, 2353, 20680, 1000, 9798, 1012, 1000, 1031, 1015, 1033, 1031, 16770, 1024, 1013, 1013, 7479, 1012, 24582, 2015, 1012, 14504, 1012, 3968, 2226, 1013, 1066, 3650, 1013, 4403, 6137, 1013, 11417, 8043, 1011, 3274, 17465, 3367, 3401, 1012, 1012, 1012, 1033, 1006, 16770, 1024, 1013, 1013, 7479, 1012, 24582, 2015, 1012, 14504, 1012, 3968, 2226, 1013, 1066, 3650, 1013, 4403, 6137, 1013, 11417, 8043, 1011, 3274, 17465, 3367, 13013, 13098, 1011, 16596, 3286, 1012, 11135, 1007, 1031, 1016, 1033, 1031, 8299, 1024, 1013, 1013, 7479, 1012, 1057, 5638, 4160, 1012, 4012, 1013, 23760, 18209, 1013, 11417, 8043, 1013, 1057, 5638, 23393, 2063, 1012, 16129, 1033, 1006, 8299, 1024, 1013, 1013, 7479, 1012, 1057, 5638, 4160, 1012, 4012, 1013, 23760, 18209, 1013, 11417, 8043, 1013, 1057, 5638, 23393, 2063, 1012, 16129, 1007, 1066, 1066, 1066, 1060, 3501, 2683, 2023, 2003, 2026, 25951, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 2970, 2023, 2003, 2028, 3357, 3553, 2000, 2043, 1045, 2228, 4929, 3085, 2015, 2097, 2735, 2019, 2590, 3420, 1024, 2043, 2027, 1005, 2128, 4012, 5302, 23194, 3550, 2004, 1051, 6633, 3033, 2008, 2064, 2022, 2328, 2046, 9412, 4617, 1997, 2477, 2017, 2525, 2215, 1012, 7635, 1010, 6007, 1010, 19688, 2015, 1012, 2821, 1010, 1998, 2043, 2111, 12897, 3209, 2000, 3524, 2178, 1019, 1011, 2184, 2086, 2005, 20254, 1996, 2573, 15327, 2013, 1996, 5080, 2433, 5387, 1012, 1066, 1066, 1066, 2107, 1035, 1037, 1035, 10017, 1045, 21090, 3294, 1012, 1996, 2867, 1999, 2216, 6089, 2024, 2061, 2502, 2008, 2027, 2024, 7887, 2006, 1996, 2298, 2041, 2005, 20582, 1012, 2009, 2074, 2061, 6433, 2008, 1999, 1996, 3422, 3006, 21800, 2003, 4276, 2062, 2084, 3617, 1006, 29464, 1002, 2382, 2243, 2005, 1037, 11281, 2051, 4129, 3422, 1998, 1002, 8698, 2005, 2019, 6207, 3422, 1007, 1012, 3617, 12197, 2031, 2042, 2502, 2005, 1037, 2096, 1998, 2061, 2027, 2031, 1037, 4351, 2173, 1999, 1996, 3006, 1012, 3617, 7635, 1010, 6007, 1010, 19688, 2015, 1012, 1012, 1012, 2025, 2061, 2172, 1012, 1066, 1066, 1066, 2970, 26419, 2232, 1010, 1045, 2123, 1005, 1056, 4498, 3305, 2115, 2391, 1010, 2061, 1037, 7514, 2003, 2672, 2041, 1997, 2344, 1010, 10007, 1012, 1012, 1012, 1024, 1007, 1026, 1996, 2867, 1999, 2216, 6089, 4929, 3085, 3006, 1027, 2580, 2011, 2111, 2040, 2215, 4929, 3085, 2015, 1012, 9412, 10818, 3006, 1027, 2580, 2011, 4664, 1997, 2111, 2040, 4929, 6007, 1012, 1066, 1066, 1066, 2107, 1035, 1037, 1035, 10017, 2867, 1999, 2216, 6089, 1028, 2742, 18368, 1024, 18368, 3084, 6007, 1012, 2027, 2024, 2559, 2005, 20582, 1999, 2008, 3006, 1012, 2027, 2031, 5294, 4219, 1012, 2061, 2009, 3084, 2062, 3168, 2005, 18368, 2000, 2191, 1037, 2047, 2944, 2008, 12374, 2974, 2084, 2009, 2003, 2005, 2068, 2000, 2191, 2242, 2008, 29489, 2015, 2000, 2037, 4493, 4275, 1006, 1998, 10712, 3071, 2842, 1005, 1055, 1007, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 2019, 2239, 2226, 2023, 2003, 2019, 5875, 9792, 2006, 2019, 2801, 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, 3113, 1996, 16824, 2882, 8610, 2015, 1997, 6620, 2297, 999, 2011, 2990, 14145, 1010, 4806, 1998, 3136, 5482, 2023, 2095, 2408, 1996, 2406, 2057, 1521, 2128, 3773, 2062, 1998, 2062, 3893, 6630, 1997, 2256, 9099, 4279, 1999, 12010, 6620, 12035, 1012, 2474, 6620, 2404, 1996, 1520, 1056, 1521, 2077, 1520, 1048, 18259, 1521, 1999, 10324, 2037, 7401, 1010, 1998, 2116, 6620, 12035, 2031, 2315, 16824, 2882, 8610, 2015, 1012, 2182, 2057, 3579, 2006, 2070, 2350, 3655, 1998, 1996, 9099, 5154, 2027, 1521, 2128, 21494, 999, 5862, 18490, 3198, 5498, 18490, 3198, 5498, 2003, 1037, 2591, 7309, 1998, 7587, 6383, 9099, 1008, 7423, 1012, 2241, 1999, 5862, 1998, 8947, 1010, 18490, 2003, 1996, 4889, 3237, 2472, 1997, 5907, 3425, 2223, 1010, 2899, 2110, 1521, 1055, 9099, 1008, 1998, 6035, 7423, 7268, 1012, 18490, 2038, 2366, 2004, 2565, 3208, 2005, 1053, 1011, 2375, 1010, 1996, 2120, 2565, 2472, 2005, 28177, 2050, 2897, 1998, 2003, 2747, 1996, 3343, 2472, 2005, 3937, 2916, 5392, 1012, 2014, 2147, 2038, 2036, 18212, 2000, 4701, 2073, 2016, 3271, 21792, 14540, 1516, 1996, 4467, 4657, 2005, 11690, 1010, 5637, 1010, 22437, 1998, 16824, 2916, 1516, 2689, 1996, 3285, 2375, 1523, 4953, 3348, 1011, 3431, 1999, 2070, 6214, 1524, 2008, 3223, 9099, 1008, 2111, 2000, 13595, 3140, 26261, 15928, 3989, 1012, 18490, 1521, 1055, 2147, 2038, 18212, 1037, 2193, 1997, 6555, 5320, 2164, 3647, 1011, 2816, 2147, 1998, 29455, 9820, 1013, 8387, 3343, 1010, 2295, 1996, 10318, 3579, 2038, 2467, 2042, 2006, 3449, 13331, 3436, 9099, 1008, 2451, 1998, 6322, 1012, 18490, 2097, 2022, 2882, 8610, 2005, 5862, 1521, 1055, 2871, 1011, 2086, 1011, 1997, 1011, 6620, 12035, 2006, 2238, 2756, 1012, 2624, 3799, 9965, 12934, 9965, 12934, 2003, 1037, 3213, 1010, 2019, 8175, 1010, 1998, 1996, 2047, 2259, 2335, 2190, 23836, 2075, 3166, 1997, 1520, 2417, 12879, 24002, 2613, 2791, 1024, 2026, 4130, 2000, 2450, 9021, 1010, 4767, 1010, 2293, 1004, 2061, 2172, 2062, 1521, 1010, 1996, 2034, 12558, 1997, 1037, 2402, 9099, 2450, 1010, 2008, 21566, 2969, 1011, 5025, 3989, 1998, 2969, 1011, 2293, 1012, 1999, 2262, 2016, 3390, 1001, 3057, 10359, 2271, 1010, 1037, 2929, 2008, 16171, 9099, 2308, 2000, 2444, 19397, 1012, 9965, 2003, 1037, 2604, 2266, 2012, 1996, 8115, 2271, 3192, 1010, 1037, 3795, 3029, 10787, 2591, 3425, 1998, 5680, 3314, 1010, 1998, 2019, 8619, 2005, 1996, 1063, 2402, 1065, 21541, 1010, 1037, 2402, 2111, 1011, 6113, 2865, 2609, 1012, 1996, 3424, 1011, 4808, 2622, 1010, 4748, 18717, 2982, 1998, 1996, 13378, 14043, 2375, 2622, 2031, 8686, 9965, 2005, 2014, 2147, 1012, 2016, 2001, 2036, 2315, 2450, 1997, 1996, 2095, 1999, 2286, 2011, 1996, 10469, 2609, 17663, 1059, 1998, 2315, 2000, 2041, 2932, 1521, 1055, 2041, 2531, 2862, 1010, 2204, 2932, 1521, 1055, 2204, 2531, 1010, 1996, 2415, 2005, 2137, 5082, 1521, 1055, 2410, 2308, 1997, 3609, 2000, 3422, 1010, 1996, 26149, 2695, 1521, 1055, 2603, 18988, 2308, 17162, 9612, 2005, 1996, 12010, 2451, 1998, 1996, 24665, 3695, 1521, 1055, 2531, 2087, 6383, 3060, 1011, 4841, 1012, 2014, 2147, 2038, 2042, 4222, 2005, 1037, 2308, 1521, 1055, 2865, 2415, 2400, 1998, 1037, 1043, 2721, 4215, 2865, 2400, 1012, 2016, 2038, 2042, 4217, 2004, 1520, 8958, 2882, 8610, 1521, 2005, 2624, 3799, 6620, 1010, 2029, 2097, 2202, 2173, 2238, 2676, 1011, 2756, 1012, 3335, 2350, 9258, 1011, 24665, 15719, 1037, 13180, 1999, 1996, 2962, 9628, 12925, 1010, 23995, 2012, 14832, 2050, 2110, 3827, 1010, 14955, 18291, 3550, 2011, 1996, 3827, 11421, 1999, 3411, 1998, 2085, 3237, 2472, 1997, 1996, 16824, 5907, 10755, 2937, 2102, 6970, 3366, 2595, 3425, 2622, 1006, 1056, 5856, 3501, 2361, 1007, 3335, 2350, 4056, 2014, 2166, 2000, 2451, 2311, 1998, 4346, 3622, 2729, 1998, 2578, 2000, 2060, 9099, 2308, 1010, 3391, 2048, 2278, 1010, 2164, 2086, 1997, 16841, 1998, 12288, 2006, 6852, 1997, 7267, 1521, 1055, 2916, 1012, 3335, 2350, 2038, 4427, 8213, 2000, 2131, 2920, 1999, 2037, 2334, 4279, 1012, 2016, 2001, 2920, 1999, 3365, 9820, 1013, 8387, 4411, 1999, 1996, 16002, 1010, 3271, 5323, 1996, 8387, 3986, 3871, 1999, 2624, 5277, 1010, 1998, 1999, 1996, 17233, 2333, 2000, 2624, 3799, 1998, 2150, 3161, 1999, 1996, 2103, 1997, 9277, 1998, 8616, 4135, 2378, 8387, 2470, 2415, 2004, 2037, 16824, 2578, 2565, 10669, 1012, 2096, 2012, 16985, 2278, 1010, 2016, 7601, 7103, 3064, 4895, 3367, 26134, 1523, 4530, 1011, 1999, 1524, 2578, 12067, 2014, 2000, 3362, 3130, 4895, 6342, 9397, 15613, 3033, 1997, 1996, 2451, 1010, 1998, 2014, 3558, 3739, 2894, 1516, 10860, 11572, 2000, 15996, 2030, 4346, 3622, 2740, 2578, 1516, 2018, 1037, 3622, 4254, 2006, 2451, 2372, 1521, 3754, 2000, 3404, 2122, 4896, 1010, 12473, 5606, 1997, 3268, 1012, 2016, 2038, 2042, 1996, 7799, 1997, 9877, 1997, 2982, 2011, 4546, 1998, 2110, 4411, 1010, 2087, 3728, 1996, 2311, 3847, 2274, 16392, 4411, 5462, 2000, 2591, 3425, 2005, 12010, 4160, 16206, 2278, 2111, 1997, 3609, 1004, 2659, 1011, 3318, 2111, 2001, 4096, 2044, 2014, 1012, 2016, 2038, 2042, 4217, 2004, 1520, 2451, 2882, 8610, 1521, 2005, 1996, 2624, 3799, 6620, 1010, 2029, 2097, 2202, 2173, 2238, 2676, 1011, 2756, 1012, 16522, 2135, 2229, 20836, 2066, 2116, 2402, 1001, 3057, 10359, 2271, 1010, 2385, 2095, 1011, 2214, 16522, 2135, 2229, 20836, 7459, 2635, 2155, 10885, 2015, 1010, 2183, 2000, 4323, 6328, 1010, 6023, 1010, 1998, 4823, 2247, 2007, 2014, 5440, 3063, 1010, 13223, 22751, 1012, 2028, 2154, 2016, 2052, 2066, 2000, 2022, 1037, 2522, 6491, 18903, 10727, 1010, 1998, 7659, 1010, 18554, 2015, 1998, 6782, 2014, 2155, 2372, 1521, 2606, 1012, 16522, 2135, 2229, 2234, 2041, 2000, 2014, 2155, 2043, 2016, 2001, 2403, 1998, 2348, 2014, 2155, 2823, 6915, 2000, 3305, 2054, 2023, 3214, 2005, 2014, 2166, 1010, 2016, 2467, 2018, 2037, 2844, 2490, 1012, 2023, 2347, 1521, 1056, 2467, 2995, 2012, 15067, 2690, 1013, 2152, 2082, 1999, 24528, 6849, 2221, 1010, 2073, 2016, 2003, 2085, 1037, 13758, 1012, 2016, 2253, 2083, 2116, 2086, 1997, 6905, 1998, 18917, 1010, 6224, 2393, 2013, 2082, 15631, 2000, 2053, 24608, 1012, 2197, 2281, 2016, 2633, 4061, 2067, 1998, 1010, 1999, 8741, 1997, 2678, 3350, 4760, 2014, 11696, 1998, 6476, 2096, 2667, 2000, 2448, 2185, 1010, 2016, 2179, 2841, 5338, 2007, 6046, 2096, 1996, 2093, 2493, 2040, 28186, 2014, 2363, 2053, 5571, 1012, 2019, 3784, 9964, 1999, 2490, 1997, 7510, 1996, 5571, 5935, 2058, 3263, 1010, 2199, 16442, 1999, 2074, 1037, 2261, 3134, 1998, 1999, 2337, 1010, 2044, 3134, 1997, 2270, 17423, 1010, 1996, 2553, 2001, 3615, 2000, 1037, 4736, 5813, 2565, 1010, 2029, 2097, 3499, 1996, 5571, 2000, 2022, 3333, 1012, 2021, 2096, 1996, 3423, 2553, 2089, 2022, 2058, 1010, 2014, 5998, 11548, 1996, 18917, 1998, 11094, 16416, 21181, 12010, 4160, 3360, 18094, 1999, 1996, 2082, 2291, 1998, 1996, 2342, 2005, 2689, 1012, 2016, 2038, 2042, 4217, 2004, 1520, 2451, 2882, 8610, 1521, 2005, 1996, 2624, 3799, 6620, 1010, 2029, 2097, 2202, 2173, 2238, 2676, 1011, 2756, 1012, 9295, 11956, 28845, 2075, 1999, 1996, 2390, 1999, 2289, 1010, 9295, 11956, 1010, 2150, 2019, 4454, 12941, 1010, 1998, 3123, 2000, 1996, 4635, 1997, 8325, 1010, 4909, 1037, 2152, 2504, 3036, 14860, 1012, 7333, 2000, 5712, 1999, 2263, 1010, 2542, 1998, 2551, 2104, 1523, 2123, 1521, 1056, 3198, 1010, 2123, 1521, 1056, 2425, 1010, 1524, 11956, 5281, 5729, 12477, 1998, 18917, 2013, 2014, 3507, 3548, 1012, 1999, 2230, 1010, 11956, 2211, 2000, 3745, 2592, 2007, 1996, 4037, 15536, 3211, 19738, 5705, 1010, 4821, 8287, 5606, 1997, 5190, 1997, 6764, 2007, 2521, 1011, 4285, 8465, 2164, 14944, 6801, 9987, 2229, 2011, 1996, 2137, 2510, 1012, 4727, 1999, 2089, 2230, 1998, 7979, 1999, 2257, 2286, 1010, 11956, 2003, 2747, 12302, 2012, 1996, 2510, 20873, 4322, 2012, 3481, 2681, 2078, 5172, 1010, 5111, 1012, 2069, 2381, 2097, 12367, 2149, 1997, 1996, 7209, 4254, 1997, 2014, 19380, 2015, 1012, 1996, 2286, 16420, 6620, 2604, 1521, 1055, 6801, 3247, 2000, 7065, 11045, 2014, 3570, 2004, 2882, 8610, 17999, 2019, 2248, 6704, 1998, 2580, 6387, 27865, 2306, 1996, 2334, 12010, 1998, 6555, 4279, 1012, 1999, 2254, 1010, 1999, 1996, 4382, 1997, 2451, 8907, 1010, 1998, 2012, 1996, 2022, 15689, 2102, 1997, 16420, 6620, 1521, 1055, 5779, 1010, 1996, 4397, 2700, 16420, 6620, 2604, 1997, 5501, 18671, 11956, 1521, 1055, 3570, 2004, 2019, 5756, 2882, 8610, 2005, 1996, 2297, 7401, 1998, 7700, 1012, 9099, 2233, 1996, 3260, 1997, 1996, 2624, 3799, 9099, 2233, 2003, 2000, 18708, 2035, 9099, 1998, 5907, 2512, 1011, 23758, 2075, 2111, 2000, 5382, 1037, 2088, 2073, 2057, 2024, 3647, 1010, 3866, 1010, 1998, 26480, 1012, 2027, 29453, 2000, 3443, 1037, 2686, 2005, 2256, 7578, 4279, 2000, 15908, 1998, 6162, 1996, 2591, 3425, 1998, 9945, 2008, 2169, 1997, 2149, 17210, 1012, 2195, 10134, 4660, 1996, 2655, 1998, 4114, 1996, 2034, 9099, 2233, 2006, 2238, 2423, 1010, 2432, 2007, 1037, 7215, 1999, 21544, 2380, 2628, 2011, 1037, 2233, 2000, 8388, 2415, 1012, 1037, 2261, 3634, 2111, 3230, 1996, 2034, 2233, 1010, 3807, 2004, 2116, 1996, 2279, 2095, 1998, 2009, 1521, 1055, 2042, 3652, 2412, 2144, 1012, 1996, 2624, 3799, 9099, 2233, 2003, 2624, 3799, 1521, 1055, 2922, 16824, 6620, 2724, 1998, 2028, 1997, 1996, 2922, 9099, 2824, 1999, 1996, 2972, 2088, 1012, 2009, 1521, 1055, 2467, 1996, 5958, 1997, 6620, 5353, 1998, 5190, 1997, 2111, 5463, 1012, 4407, 3017, 22260, 18891, 2121, 2293, 9892, 6208, 1010, 3063, 1010, 4802, 1010, 1998, 2158, 1997, 9099, 3325, 3017, 22260, 18891, 2121, 2293, 9892, 4194, 1999, 2010, 2034, 6186, 2012, 1996, 2287, 1997, 2698, 1010, 1998, 2631, 6316, 2135, 9099, 1008, 2233, 1999, 2262, 1012, 2002, 2003, 1037, 9715, 5099, 18471, 3063, 1006, 2773, 2480, 1996, 4802, 7861, 3401, 2063, 1007, 4056, 2000, 4526, 2396, 2005, 2591, 2689, 1012, 2002, 2003, 1037, 2112, 1997, 1996, 6316, 2135, 9099, 1008, 2740, 3034, 4041, 2837, 2005, 2297, 1010, 1998, 2003, 2956, 1999, 1037, 4516, 1520, 2010, 8458, 11069, 1521, 2008, 11596, 2010, 3679, 11785, 2007, 5907, 1040, 7274, 8458, 11069, 1998, 6765, 2015, 2238, 2539, 1012, 2002, 2747, 2573, 2012, 1520, 6384, 2188, 1521, 1010, 1037, 2028, 1011, 1997, 1011, 1037, 1011, 2785, 7570, 27348, 5647, 3949, 2415, 2005, 2012, 1011, 3891, 9099, 1998, 5907, 8349, 3633, 1999, 4407, 1012, 2002, 2001, 4217, 2004, 2882, 5832, 2005, 6316, 2135, 1521, 1055, 21206, 1010, 2029, 3047, 2238, 1022, 1012, 2047, 2259, 2103, 2474, 23062, 2063, 9574, 2474, 23062, 2063, 9574, 2003, 1037, 11321, 10251, 3883, 2190, 2124, 2005, 2014, 2535, 1999, 1996, 20907, 2434, 2186, 1520, 4589, 2003, 1996, 2047, 2304, 1521, 2073, 2016, 2180, 1996, 16092, 4803, 2732, 2400, 2005, 2014, 23222, 2535, 2004, 9665, 20934, 22573, 2102, 1010, 2019, 23995, 3060, 1011, 2137, 16824, 2450, 1012, 2474, 23062, 2063, 2003, 1996, 2034, 9099, 2450, 1997, 3609, 2000, 2031, 1037, 2877, 2535, 2006, 7731, 2547, 1006, 2051, 2932, 2315, 9665, 1996, 4343, 2087, 6383, 7214, 2839, 1997, 2286, 1007, 1010, 3965, 1998, 2732, 1999, 2014, 2219, 2694, 2265, 1006, 1520, 10938, 2033, 1521, 1010, 4222, 2005, 1037, 1043, 2721, 4215, 2865, 2400, 1007, 1010, 1998, 3711, 2006, 2019, 2137, 4507, 2694, 2265, 1006, 1520, 1045, 10587, 2147, 2005, 2106, 5149, 1521, 1010, 2029, 2036, 2180, 1037, 1043, 2721, 4215, 2400, 1012, 1007, 2016, 2038, 2180, 1996, 8424, 2400, 2013, 1996, 3424, 1011, 4808, 2622, 1010, 1996, 2451, 3003, 2400, 2013, 1996, 12010, 2451, 2415, 1010, 1998, 1996, 8068, 1521, 1055, 3601, 2400, 2013, 2041, 2932, 1012, 2016, 2038, 2042, 2315, 2028, 1997, 1996, 24665, 3695, 1521, 1055, 1520, 2327, 2531, 6383, 3060, 1011, 4841, 1521, 1010, 21301, 27028, 2695, 1521, 1055, 1520, 2327, 2753, 9099, 18407, 1521, 1010, 2041, 2932, 1521, 1055, 1520, 2327, 2041, 2531, 1521, 1998, 6005, 3120, 2932, 1521, 1055, 1521, 4583, 2111, 2057, 2293, 1521, 1012, 2474, 23062, 2063, 2003, 1037, 8228, 5882, 2006, 5907, 10908, 1998, 2542, 14469, 3973, 1010, 2956, 2006, 13229, 1010, 5796, 28957, 1010, 1044, 19666, 1010, 26365, 1010, 4419, 2739, 7402, 1010, 1998, 2038, 3728, 2772, 1037, 2338, 3066, 2007, 5292, 20927, 12519, 1012, 2016, 2003, 2036, 2551, 2006, 1037, 4516, 4159, 1520, 2489, 8292, 3401, 1521, 1999, 2344, 2000, 4578, 2368, 16476, 4193, 8292, 3401, 9383, 1516, 1037, 16824, 2450, 2040, 2001, 6801, 2135, 7331, 2000, 4601, 2706, 1999, 1037, 2273, 1521, 1055, 3827, 2005, 2117, 1011, 3014, 16042, 17298, 13900, 2121, 2044, 6984, 2841, 2114, 1037, 16939, 1998, 9099, 20200, 2886, 1012, 2016, 2038, 2042, 2315, 2882, 8610, 2005, 2047, 2259, 2103, 6620, 1010, 2029, 2097, 2202, 2173, 2238, 2484, 1011, 2756, 1012, 8603, 1010, 2047, 2259, 2103, 9606, 15315, 8017, 2480, 9606, 15315, 8017, 2480, 2003, 1037, 11155, 2576, 7423, 2551 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1015, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2045, 2038, 2042, 3652, 6594, 1997, 1996, 1005, 2951, 3972, 22890, 1005, 1998, 1996, 8690, 3471, 4193, 2009, 1010, 8419, 2129, 2000, 3573, 1010, 2832, 1998, 5107, 4697, 2951, 1010, 1998, 2129, 2000, 11506, 3674, 21770, 10624, 6914, 14769, 2951, 4216, 1012, 2005, 2116, 2551, 1999, 1996, 2892, 1011, 17972, 4044, 1997, 3001, 7366, 2470, 1010, 1996, 4119, 1997, 11566, 2122, 2951, 4216, 2064, 2022, 2307, 1010, 2021, 1996, 19054, 1997, 2725, 2061, 2064, 2022, 2130, 3618, 1012, 2028, 1997, 1996, 18608, 5307, 6950, 2003, 1996, 2898, 3528, 1997, 2951, 4216, 2800, 1012, 3568, 1010, 15078, 5906, 2000, 6509, 1999, 1996, 4106, 1997, 2023, 2951, 2024, 6827, 1012, 5906, 2000, 6509, 1996, 11643, 1997, 16012, 15869, 6125, 1010, 2107, 2004, 25353, 28727, 5686, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 29491, 2475, 1033, 1007, 2030, 2777, 7159, 8571, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2575, 1033, 1007, 1010, 2064, 21934, 28250, 1996, 2810, 1997, 21453, 4275, 1010, 2348, 2087, 5478, 3716, 1997, 7809, 8909, 4765, 28295, 2005, 1996, 6897, 11422, 1997, 3037, 1012, 2107, 5906, 2265, 1996, 9710, 1997, 22380, 2951, 2013, 2195, 4216, 1998, 21934, 28250, 2075, 1996, 8304, 1997, 3674, 7809, 8909, 4765, 28295, 1012, 5622, 2290, 4305, 2290, 3594, 1996, 5656, 1997, 3229, 2075, 3674, 2951, 4216, 1998, 13951, 1996, 5310, 2000, 17841, 3463, 2008, 2453, 2025, 2022, 2825, 2011, 5873, 1037, 2309, 2951, 3120, 2894, 1012, 5678, 1010, 5622, 2290, 4305, 2290, 8456, 5198, 1999, 4488, 3937, 16924, 2015, 1997, 5250, 5090, 2008, 2064, 2393, 6950, 2000, 5114, 2047, 20062, 2046, 2037, 2291, 1997, 3037, 1012, 1016, 2640, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 5622, 2290, 4305, 2290, 2001, 2764, 2000, 6509, 1037, 5310, 2007, 1037, 2275, 1997, 2742, 3980, 2008, 2453, 2022, 8567, 1999, 1037, 5171, 3001, 7366, 2147, 12314, 1012, 5204, 2008, 2047, 4973, 2071, 2022, 8567, 2076, 4007, 2458, 1010, 2057, 2109, 1037, 19160, 2640, 2008, 4473, 6922, 2128, 8557, 1998, 3733, 10502, 1997, 2047, 2838, 1012, 2019, 19184, 1997, 1996, 2147, 12314, 2005, 1996, 3265, 5906, 2003, 2445, 1999, 1031, 26215, 3275, 1055, 2487, 1033, 1006, 8299, 1024, 1013, 1013, 16012, 2378, 14192, 17592, 1012, 4345, 23099, 12789, 4877, 1012, 8917, 1013, 2298, 6279, 1013, 10514, 9397, 2140, 1013, 9193, 1024, 2184, 1012, 11518, 2509, 1013, 16012, 2378, 14192, 17592, 1013, 18411, 2226, 2581, 2620, 2549, 1013, 1011, 1013, 5887, 2487, 1007, 1012, 2057, 2764, 2087, 15380, 2478, 18750, 1016, 1012, 1021, 1010, 2144, 2116, 3928, 6994, 23615, 2015, 1032, 1031, 16012, 7685, 2705, 2239, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2549, 1033, 1007, 1010, 2330, 11561, 2140, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 29491, 2487, 1033, 1007, 1010, 5622, 5910, 25526, 2140, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2475, 1033, 1007, 1032, 1033, 2024, 2800, 1012, 1996, 2392, 1011, 2203, 2001, 2764, 2478, 2377, 7705, 1016, 1010, 1037, 2944, 1011, 3193, 1011, 11486, 7705, 4352, 3642, 2000, 2022, 2517, 1999, 9262, 2030, 26743, 1010, 2007, 8915, 8737, 22248, 1997, 16129, 5530, 2478, 26743, 23561, 2015, 1012, 2146, 2770, 5841, 2064, 2022, 9347, 2098, 2083, 1996, 17712, 2912, 7705, 1006, 2019, 3364, 1011, 2241, 24154, 2944, 1007, 1010, 2029, 4473, 1996, 4037, 2000, 3961, 26651, 2000, 5198, 1012, 10474, 6879, 6494, 2361, 1006, 1037, 2392, 1011, 2203, 4773, 2458, 7705, 1007, 2001, 2109, 2004, 1037, 2126, 2000, 3073, 5310, 8278, 3787, 2008, 2064, 2022, 7021, 2006, 4684, 1998, 15363, 16602, 2015, 1012, 1017, 4973, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 5622, 2290, 4305, 2290, 2950, 4973, 2005, 2169, 6994, 1012, 2122, 3073, 2047, 5198, 2007, 2019, 19184, 1997, 2049, 15380, 1998, 8192, 1012, 2182, 1010, 2057, 4780, 6848, 2048, 4973, 1012, 2043, 5310, 7953, 2000, 1996, 5906, 2003, 3223, 1010, 1996, 3793, 2003, 3491, 1999, 1008, 2009, 27072, 1008, 1012, 1017, 1012, 1015, 2129, 1998, 2073, 2064, 2592, 2022, 2179, 2005, 1996, 7328, 10424, 14194, 22282, 1015, 1010, 1020, 1011, 20377, 8458, 2891, 24556, 1029, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2007, 1996, 2742, 23032, 1005, 10424, 14194, 22282, 1015, 1010, 1020, 1011, 20377, 8458, 2891, 24556, 1005, 1010, 2057, 2424, 2053, 10099, 1999, 1996, 18178, 14905, 2140, 7809, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2581, 1033, 1007, 1012, 2057, 2079, 2025, 2903, 2008, 2023, 2003, 1037, 18888, 1997, 1996, 18178, 14905, 2140, 7809, 1010, 2738, 1037, 9185, 2006, 1996, 5171, 5310, 1997, 18178, 14905, 2140, 1010, 2040, 2003, 2025, 3497, 2000, 3073, 2019, 4960, 2072, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2683, 1033, 1007, 1012, 2128, 1011, 23032, 2075, 18178, 14905, 2140, 2478, 1005, 10424, 14194, 22282, 1015, 1010, 1020, 1011, 16510, 15006, 24556, 1005, 16189, 1996, 9059, 7328, 1006, 18178, 14905, 2140, 2683, 2581, 2620, 2683, 2509, 1007, 1025, 2174, 1010, 2023, 2003, 1037, 13365, 5474, 1997, 1996, 7328, 1010, 1998, 1996, 3945, 2515, 2025, 2424, 1006, 18178, 14905, 2140, 10790, 2620, 2683, 2683, 2575, 2475, 1007, 2029, 2003, 8250, 1999, 18178, 14905, 2140, 2004, 1005, 10424, 14194, 22282, 1011, 1015, 1010, 1020, 1011, 16510, 15006, 24556, 1005, 1012, 6660, 1010, 6575, 2478, 18178, 2213, 16584, 2015, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2620, 1033, 1007, 1010, 1037, 5310, 2071, 2424, 1037, 7328, 1999, 7842, 26282, 1011, 1054, 2243, 1006, 7842, 26282, 1011, 7328, 1011, 8909, 1024, 19348, 16086, 1007, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 29491, 2509, 1033, 1007, 1010, 2021, 2025, 1999, 18178, 5638, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2629, 1033, 1007, 2030, 17710, 13871, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 29491, 2692, 1033, 1007, 1012, 5678, 1010, 1999, 1996, 2553, 1997, 1996, 7328, 2179, 1010, 2053, 14134, 5072, 3252, 2003, 3024, 1025, 2947, 1010, 2009, 2003, 3697, 2000, 4638, 2008, 1996, 6149, 7328, 2003, 2179, 1012, 5622, 2290, 4305, 2290, 3640, 1037, 5576, 2000, 1996, 7328, 6575, 3291, 1010, 2011, 6575, 1996, 9047, 5403, 2213, 7809, 2478, 1037, 4659, 5041, 3945, 2744, 1012, 1008, 1996, 5310, 20407, 3793, 2008, 5577, 1996, 7328, 1997, 3037, 1010, 1041, 1012, 1043, 1012, 10424, 14194, 22282, 1015, 1010, 1020, 1011, 20377, 8458, 2891, 24556, 2030, 2714, 1010, 5622, 2290, 4305, 2290, 2059, 5651, 2195, 2825, 3463, 1008, 1012, 2122, 3463, 2024, 15131, 2011, 1996, 9593, 20831, 1012, 1996, 5310, 2003, 2059, 3491, 1037, 2795, 2007, 1996, 2825, 10099, 1010, 2164, 2037, 14134, 5090, 1010, 2004, 2092, 2004, 1037, 4487, 21559, 5638, 19696, 3508, 2000, 2060, 17881, 1010, 2029, 2003, 3024, 2083, 1996, 4895, 17322, 2213, 6994, 1012, 2005, 1996, 3945, 1005, 10424, 14194, 22282, 1015, 1010, 1020, 1011, 20377, 8458, 2891, 24556, 1005, 1010, 5622, 2290, 4305, 2290, 14847, 3157, 2825, 10099, 1010, 1997, 2029, 2416, 10099, 2024, 27811, 2046, 2048, 2967, 1997, 7235, 20831, 1006, 2946, 2176, 1998, 2048, 1010, 4414, 1007, 1012, 1996, 2177, 4820, 2176, 9047, 5403, 2213, 5072, 8909, 4765, 28295, 1006, 28744, 2015, 1024, 26621, 17134, 1010, 9402, 2575, 2581, 1010, 4008, 24087, 28311, 1010, 6390, 2620, 1007, 3397, 6971, 2000, 1996, 2048, 6149, 18178, 14905, 2140, 10099, 1024, 18178, 14905, 2140, 2683, 2581, 2620, 2683, 2509, 1998, 18178, 14905, 2140, 10790, 2620, 2683, 2683, 2575, 2475, 1012, 5622, 2290, 4305, 2290, 12939, 1996, 5310, 2000, 4089, 3945, 2005, 2037, 7328, 1997, 3037, 1012, 1008, 1996, 5310, 2064, 2085, 5454, 2000, 3582, 6971, 1999, 1996, 3463, 2795, 3495, 2000, 1996, 2434, 2951, 3120, 1010, 2030, 2000, 3613, 2007, 2582, 9751, 1999, 5622, 2290, 4305, 2290, 2011, 2478, 4638, 8758, 2229, 2030, 11287, 2000, 12040, 2000, 2582, 4106, 5906, 1012, 1008, 5622, 2290, 4305, 2290, 2036, 3640, 1996, 2193, 1997, 5090, 1999, 1996, 5250, 7809, 1006, 22851, 2497, 1025, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 29491, 1033, 1007, 2029, 5383, 1996, 7328, 1997, 3037, 1012, 1017, 1012, 1016, 1012, 2029, 8171, 2515, 2026, 27854, 26402, 1998, 2339, 1029, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 5136, 1996, 2553, 1997, 1996, 10210, 23924, 1011, 8878, 5250, 1006, 4949, 1007, 21903, 14828, 2897, 1012, 1037, 5310, 4699, 1999, 1996, 2529, 5250, 9413, 2243, 2487, 1006, 4895, 11514, 21709, 1052, 22907, 21619, 2487, 1007, 1010, 2052, 2224, 1996, 1005, 2424, 24054, 1005, 6994, 1012, 1008, 2027, 2052, 4607, 1996, 4895, 11514, 21709, 8909, 4765, 18095, 2065, 2525, 2124, 1012, 4728, 1996, 5310, 2064, 2079, 1037, 3793, 3945, 2029, 2003, 8285, 9006, 10814, 3064, 2478, 1037, 2828, 4430, 13775, 9262, 22483, 1012, 1996, 5310, 2036, 3791, 2000, 7276, 2048, 3013, 7245, 5300, 2000, 9375, 2029, 10099, 2024, 2641, 2000, 14187, 2000, 1996, 4539, 1998, 2000, 2125, 1011, 7889, 1025, 2182, 1010, 2057, 2224, 2184, 13221, 1998, 18613, 2199, 13221, 1010, 4414, 1012, 1008, 1996, 6994, 14847, 1996, 7328, 18178, 14905, 2140, 22610, 25746, 22203, 1010, 2029, 2478, 1996, 4895, 17322, 2213, 4773, 2326, 1006, 1031, 1030, 18411, 2226, 2581, 2620, 2549, 1011, 1038, 2509, 1033, 1007, 2003, 4487, 21559, 5638, 19696, 3064, 2004, 1996, 4319, 17214, 20363, 12322, 1006, 2156, 1031, 20965, 1012, 1015, 1033, 1006, 1001, 18411, 2226, 2581, 2620, 2549, 1011, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2045, 2024, 2747, 2048, 5250, 5090, 4820, 2023, 7328, 2800, 1006, 22851, 2497, 1024, 1017, 8197, 2100, 1998, 1017, 2546, 4160, 2015, 1007, 1012, 1996, 22330, 13122, 19464, 1012, 1046, 2015, 1006, 2019, 2330, 1011, 3120, 9262, 22483, 10629, 3399, 5107, 3989, 3075, 1007, 1998, 21628, 7934, 5328, 1997, 1996, 3945, 2265, 2008, 17214, 20363, 12322, 2064, 2036, 14187, 2000, 1996, 13109, 2102, 2509, 5939, 7352, 3170, 5250, 21903, 10769, 1012, 22042, 2006, 1996, 3341, 11383, 18178, 14905, 2140, 22610, 25746, 22203, 1998, 13109, 2102, 2509, 3065, 1996, 8031, 16730, 1997, 2023, 8290, 1012, 1008, 5622, 2290, 4305, 2290, 12939, 1996, 5310, 2000, 8556, 1996, 8332, 3978, 2005, 2023, 8031, 2478, 1996, 1005, 3565, 20688, 27854, 8031, 4573, 1005, 6994, 2011, 5738, 1996, 22851, 2497, 9537, 3024, 2005, 9413, 2243, 2487, 1006, 1016, 6844, 4160, 1007, 1010, 13109, 2102, 2509, 1006, 1015, 2099, 3501, 2497, 1007, 1998, 1037, 3252, 4820, 17214, 20363, 12322, 1010, 2182, 1037, 7987, 16161, 2078, 1005, 1055, 5939, 7352, 3170, 21903, 1006, 1017, 8197, 2100, 1007, 1012, 1008, 2144, 2045, 2003, 2747, 2053, 3252, 1997, 17214, 20363, 12322, 5391, 2000, 13109, 2102, 2509, 1999, 1996, 22851, 2497, 1010, 3565, 26994, 1997, 1996, 3732, 2048, 5090, 3957, 1037, 10293, 2005, 1996, 15596, 8031, 13382, 1997, 17214, 20363, 12322, 1999, 1996, 13109, 2102, 2509, 8031, 2609, 1012, 2065, 1996, 5310, 2003, 4699, 1999, 1996, 8332, 3978, 2005, 17214, 20363, 12322, 8031, 2000, 9413, 2243, 2487, 1998, 13109, 2102, 2509, 1010, 1996, 5310, 2064, 2036, 3565, 20688, 9413, 2243, 2487, 3031, 1996, 7987, 16161, 2078, 1005, 1055, 5939, 7352, 3170, 21903, 3252, 2012, 1996, 2168, 2051, 1012, 18539, 1997, 1996, 8031, 2609, 2000, 1996, 4431, 3252, 1010, 2182, 13109, 2102, 2509, 1010, 2064, 2022, 6913, 1010, 2247, 2007, 7117, 1011, 2812, 1011, 2675, 24353, 5300, 1010, 1999, 2023, 2553, 8131, 2008, 1996, 8031, 4573, 1997, 2122, 5250, 21903, 2015, 2024, 3811, 19995, 1012, 20965, 1012, 1015, 1012, 14614, 1997, 1996, 6434, 1997, 1996, 5622, 2290, 4305, 2290, 4773, 8241, 2005, 1996, 2742, 1005, 1008, 2029, 8171, 2515, 2026, 27854, 26402, 1010, 1998, 2339, 1029, 1005, 1008, 1012, 2156, 3793, 2005, 4751, 26215, 3430, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1001, 1001, 1001, 1001, 1001, 1001, 26215, 2951, 2057, 4067, 2372, 1997, 1996, 8382, 1998, 12562, 11643, 2177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1000, 2023, 3504, 2092, 12042, 1012, 1000, 1000, 1041, 2860, 2860, 1012, 1000, 1000, 2023, 2003, 2066, 2008, 3185, 1010, 10413, 1005, 1055, 6683, 28473, 1012, 1000, 1000, 5180, 1012, 1000, 1000, 2106, 2017, 5293, 2000, 4965, 5869, 8490, 2532, 1029, 1000, 1000, 2057, 2024, 2083, 7079, 2083, 1996, 4451, 2005, 2117, 1011, 3446, 7708, 2833, 1012, 1000, 1000, 2008, 1005, 1055, 1037, 4335, 1010, 1996, 7824, 2020, 2437, 2026, 15325, 19501, 1012, 1000, 1000, 4283, 2000, 8102, 3960, 1005, 1055, 9625, 1011, 3446, 21475, 1998, 24165, 11089, 4012, 1010, 3892, 1010, 2057, 28359, 27703, 2618, 1999, 1996, 9995, 1997, 2379, 1011, 17264, 3539, 19395, 1012, 1000, 1000, 2054, 1029, 1000, 1000, 2065, 1996, 4827, 2252, 4858, 2041, 1045, 1005, 1049, 5983, 9625, 1011, 3446, 1012, 1000, 1000, 2030, 5983, 2012, 2035, 1012, 1000, 1000, 20878, 999, 1000, 1000, 2057, 1005, 2310, 2288, 2176, 15076, 2000, 5438, 1012, 1000, 1000, 2833, 5366, 2769, 1012, 1000, 1000, 1045, 2354, 2009, 1012, 1000, 1000, 2021, 18243, 2401, 2097, 2022, 2185, 2012, 2267, 2574, 1010, 1998, 2059, 2045, 2097, 2069, 2022, 2093, 15076, 2000, 5438, 1012, 1000, 1000, 2748, 1012, 1000, 1000, 1045, 1005, 1049, 2469, 1996, 5573, 3612, 13976, 2097, 2062, 2084, 2191, 2039, 2005, 15413, 1010, 2282, 1998, 2604, 1012, 1000, 1000, 15413, 1029, 1000, 1000, 2821, 1010, 2643, 1012, 1000, 1000, 18243, 2401, 1010, 1045, 2113, 1012, 1000, 1000, 2339, 2123, 1005, 1056, 2017, 2131, 2028, 1997, 2216, 6566, 2518, 3111, 1029, 1000, 1000, 2339, 8804, 1012, 1000, 1000, 2008, 1005, 1055, 2019, 6581, 2801, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2065, 2069, 2027, 2134, 1005, 1056, 2507, 2068, 2000, 2111, 2007, 2092, 1011, 8352, 1010, 12042, 5426, 1012, 1000, 1000, 2017, 2113, 1010, 8307, 2842, 1012, 1000, 1000, 2008, 2442, 2022, 1996, 3539, 19395, 999, 1000, 1000, 1045, 1005, 1040, 2074, 5071, 2009, 2052, 2022, 2757, 1012, 1000, 1000, 1998, 2182, 2009, 2003, 1010, 13060, 1996, 25422, 1012, 1000, 1000, 2017, 2113, 1010, 18243, 2401, 1012, 1000, 1000, 2045, 2024, 15691, 7580, 2005, 3834, 6344, 1012, 1000, 1000, 3045, 2028, 1997, 2216, 2071, 2191, 2039, 2005, 2115, 3768, 1997, 4469, 10841, 21231, 2015, 2272, 2267, 20247, 2051, 1012, 1000, 1000, 2009, 2876, 1005, 1056, 3480, 2000, 2298, 2046, 2009, 1012, 1000, 1000, 2157, 1029, 1000, 1000, 2035, 2157, 999, 1000, 1000, 9831, 2115, 2159, 2006, 2023, 999, 1000, 1000, 9616, 1029, 1000, 1000, 1041, 2860, 2860, 1012, 1000, 1000, 2027, 2298, 2066, 2980, 6077, 1012, 1000, 1000, 2116, 2980, 6077, 1012, 1000, 1000, 4931, 999, 1000, 1000, 2008, 1005, 1055, 2025, 2054, 1045, 3641, 1012, 1000, 1000, 5180, 1012, 1000, 1000, 4931, 999, 1000, 1000, 6240, 3124, 999, 1000, 1000, 2272, 2067, 2182, 999, 1000, 1000, 12290, 1010, 2022, 8059, 1012, 1000, 1000, 2023, 6317, 2180, 1005, 1056, 2831, 1010, 2021, 2017, 2097, 999, 1000, 1000, 2771, 4168, 1998, 7750, 1010, 2279, 2006, 5305, 1010, 6517, 2088, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2066, 2073, 2023, 2003, 2183, 1012, 1000, 1000, 1045, 4033, 1005, 1056, 2056, 2505, 2664, 1012, 1000, 1000, 2061, 2045, 1005, 1055, 2145, 2051, 2000, 10574, 1029, 1000, 1000, 2298, 1010, 18243, 2401, 1012, 1000, 1000, 1996, 2062, 1045, 2228, 2055, 11243, 2005, 2019, 3834, 6566, 1010, 1996, 2062, 1045, 2066, 2009, 1012, 1000, 1000, 2045, 1005, 1055, 2471, 2498, 2006, 2115, 2152, 2082, 2501, 2000, 2265, 2017, 1005, 2128, 12774, 1998, 2920, 1012, 1000, 1000, 2071, 2008, 2022, 1010, 2138, 1045, 1005, 1049, 2025, 1029, 1000, 1000, 18243, 2401, 1012, 1000, 1000, 2024, 2017, 4129, 2033, 2017, 2123, 1005, 1056, 2933, 2006, 2183, 2000, 2267, 1029, 1000, 1000, 1997, 2607, 1045, 2079, 1012, 1000, 1000, 3100, 1029, 1000, 1000, 2025, 2005, 2033, 1010, 2025, 2005, 2115, 2269, 1010, 2005, 2017, 1012, 1000, 1000, 2035, 2157, 1012, 1000, 1000, 4365, 1012, 1000, 1000, 2122, 6566, 10100, 2035, 2215, 2017, 2000, 2022, 2019, 6739, 1999, 2242, 1024, 1000, 1000, 4164, 16609, 1010, 9582, 1011, 4396, 25055, 1010, 2405, 3166, 1012, 1000, 1000, 2643, 1010, 18243, 2401, 1012, 1000, 1000, 2054, 2031, 2042, 2725, 2035, 2023, 2051, 1029, 1000, 1000, 3772, 2066, 1037, 9458, 1011, 2287, 2099, 1029, 1000, 1000, 4931, 1010, 2182, 1005, 1055, 2028, 2005, 2017, 1012, 1000, 1000, 2031, 2017, 2412, 2018, 2505, 3491, 1999, 1037, 2688, 1029, 1000, 1000, 3164, 1005, 1055, 3100, 1012, 1000, 1000, 3398, 1010, 2066, 1045, 1005, 1049, 2183, 2000, 6039, 2041, 1037, 2274, 1011, 9044, 4646, 1998, 3610, 1996, 10007, 2015, 1997, 2070, 3319, 2604, 2074, 2005, 1037, 2261, 4595, 14189, 2000, 2175, 2000, 1037, 2082, 1045, 1005, 2222, 2763, 5223, 4312, 1012, 1000, 1000, 8529, 1012, 1012, 1012, 2025, 2008, 2017, 5807, 1005, 1056, 2079, 2009, 1012, 1000, 1000, 17012, 1012, 1000, 1000, 2182, 1005, 1055, 2242, 1012, 1000, 1000, 1996, 10276, 3192, 2097, 2400, 1037, 2702, 1011, 4595, 7922, 3396, 2040, 2190, 7861, 5092, 18389, 1996, 10276, 8463, 1997, 8012, 1012, 1000, 1000, 2017, 1005, 2310, 2288, 2000, 19837, 2037, 13727, 2791, 1012, 1000, 1000, 1996, 8463, 1997, 8012, 1012, 1000, 1000, 2061, 1010, 2017, 2123, 1005, 1056, 2941, 2031, 2000, 4608, 2009, 1029, 1000, 1000, 2307, 1012, 1000, 1000, 2045, 1005, 1055, 2019, 9491, 1024, 1000, 1000, 2129, 2052, 2017, 2689, 1996, 2088, 2065, 2017, 2071, 1029, 1000, 1000, 1045, 2354, 1045, 2323, 2031, 19374, 1996, 3335, 2637, 12438, 1012, 1000, 1000, 2092, 1010, 2065, 2017, 2342, 2151, 11249, 2005, 2115, 9491, 1010, 1045, 1005, 1049, 3492, 2204, 2012, 4169, 18565, 8044, 1012, 1000, 1000, 4931, 1010, 18243, 2401, 1012, 1000, 1000, 1045, 2113, 1045, 1005, 1049, 4689, 2000, 3198, 1010, 2021, 2028, 1997, 1996, 3259, 1005, 1055, 10195, 8046, 1012, 1000, 1000, 2071, 2017, 2224, 2178, 4469, 10841, 21231, 4023, 2005, 2115, 24051, 1029, 1000, 1000, 10892, 1010, 2053, 1012, 1000, 1000, 2144, 2178, 12748, 1045, 2031, 2151, 2000, 4088, 2007, 1012, 1000, 1000, 2054, 2024, 2017, 6069, 2079, 2055, 2115, 2267, 5097, 1029, 1000, 1000, 20277, 1010, 2129, 27150, 1012, 1000, 1000, 1037, 8835, 2013, 1037, 3507, 3076, 2074, 2066, 1996, 3924, 1045, 2131, 2013, 2026, 2388, 1012, 1000, 1000, 4283, 2000, 2014, 1010, 1045, 2985, 1996, 2878, 2305, 2006, 1996, 4773, 1010, 2559, 2046, 15691, 1012, 1000, 1000, 2428, 1029, 1000, 1000, 2424, 2505, 1029, 1000, 1000, 1996, 7541, 1045, 2234, 2001, 1996, 10276, 3192, 3396, 1012, 1000, 1000, 1996, 4007, 2194, 1029, 1000, 1000, 2074, 2000, 6611, 1010, 2027, 2191, 2017, 6039, 2041, 1037, 2433, 1010, 1998, 4339, 2019, 9491, 1012, 1000, 1000, 8529, 1010, 18243, 2401, 1012, 1000, 1000, 2008, 1005, 1055, 3492, 2172, 11968, 2005, 1996, 2607, 1012, 1000, 1000, 18243, 2078, 1012, 1000, 1000, 1045, 3984, 2045, 1005, 1055, 2053, 2107, 2518, 2004, 1037, 2489, 2702, 4595, 6363, 1012, 1000, 1000, 17012, 1012, 1000, 1000, 2092, 1010, 2204, 6735, 1012, 1000, 1000, 2065, 1045, 2941, 3582, 2083, 1012, 1000, 1000, 2021, 1010, 1045, 1005, 1049, 5327, 2000, 2272, 2000, 2026, 9456, 2077, 2008, 6433, 1012, 1000, 1000, 1999, 7680, 1010, 2026, 2088, 2052, 2022, 2081, 4189, 2121, 2000, 1996, 3722, 3357, 1997, 15349, 2035, 2769, 1012, 1000, 1000, 8801, 2071, 3710, 1996, 2111, 2027, 5050, 1010, 2612, 1997, 1996, 3924, 7079, 2005, 2037, 2886, 14997, 1012, 1000, 1000, 5766, 1005, 1055, 2071, 2644, 12487, 2075, 1996, 4774, 1998, 16789, 2037, 3667, 2074, 2000, 2562, 2037, 4518, 7597, 16486, 1012, 1000, 1000, 1998, 1010, 1997, 2607, 1010, 10015, 2402, 2493, 2107, 2004, 2870, 1010, 2071, 2941, 2817, 1010, 2612, 1997, 5938, 2037, 2051, 7676, 2989, 1999, 6566, 8927, 1012, 1000, 1000, 10166, 1012, 1000, 1000, 2017, 1005, 2128, 2428, 2183, 2000, 4604, 2008, 1999, 1029, 1000, 1000, 2339, 2876, 1005, 1056, 1045, 1029, 1000, 1000, 1996, 2878, 2391, 1997, 2122, 15691, 2003, 2000, 2265, 2129, 28851, 2135, 2092, 1011, 10426, 2017, 2024, 1012, 1000, 1000, 2017, 1005, 2128, 2746, 2035, 27885, 8043, 18941, 1998, 7481, 1012, 1000, 1000, 2017, 2113, 1010, 3424, 1011, 2591, 1012, 1000, 1000, 2298, 1010, 2023, 2003, 2129, 1045, 4339, 1012, 1000, 1000, 1045, 2876, 1005, 1056, 2215, 2000, 2131, 1996, 3396, 2241, 2006, 2070, 6887, 16585, 9491, 1998, 6887, 16585, 6180, 1012, 1000, 1000, 2054, 2024, 2017, 2559, 2005, 1029, 1000, 1000, 1996, 8529, 14454, 7476, 11601, 1012, 1000, 1000, 2144, 2017, 2020, 5525, 2141, 7483, 1012, 1000, 1000, 18243, 2401, 1010, 2106, 1045, 2963, 2017, 3752, 2115, 6566, 9491, 1029, 1000, 1000, 13325, 2011, 2129, 5475, 2017, 2024, 1010, 1045, 1005, 1040, 2360, 2053, 1010, 2017, 2134, 1005, 1056, 1012, 1000, 1000, 18243, 2401, 1012, 1000, 1000, 2017, 3057, 3201, 2005, 2070, 2062, 2980, 3899, 25609, 1029, 1000, 1000, 8529, 1010, 4283, 2720, 1012, 22822, 6914, 26559, 2121, 1010, 2021, 1045, 2228, 1045, 1005, 1049, 3599, 2004, 15854, 9096, 2004, 1045, 2215, 2000, 2022, 1012, 1000, 1000, 4931, 1010, 6861, 999, 1000, 1000, 2129, 2515, 2980, 3899, 14855, 2721, 11837, 2080, 2980, 7368, 2614, 2005, 3892, 1029, 1000, 1000, 2785, 1997, 2066, 1996, 2614, 1997, 2176, 2111, 3868, 2000, 3786, 2169, 2060, 2000, 1996, 5723, 1012, 1000, 1000, 5180, 999, 1000, 1000, 4604, 2216, 2980, 6077, 2067, 999, 1000, 1000, 1045, 2064, 1005, 1056, 1012, 1000, 1000, 1045, 3631, 1996, 7744, 1012, 1000, 1000, 2021, 2027, 2081, 1996, 6707, 999, 1000, 1000, 2092, 1010, 7910, 1010, 2065, 2017, 2215, 2000, 2131, 4087, 2055, 2009, 1010, 1045, 2081, 1996, 6707, 1012, 1000, 1000, 1045, 2785, 1011, 1997, 21189, 1999, 1996, 3308, 4031, 2193, 1012, 1000, 1000, 4365, 18001, 3274, 3898, 999, 1000, 1000, 2748, 1010, 2017, 2064, 4521, 2058, 1012, 1000, 1000, 2003, 2023, 2054, 2017, 1999, 1996, 3423, 9518, 6523, 2000, 2004, 5456, 1029, 1000, 1000, 8529, 1010, 2023, 2003, 2005, 2017, 1012, 1000, 1000, 2009, 1005, 1055, 2013, 1996, 10276, 3192, 1012, 1000, 1000, 1045, 2134, 1005, 1056, 5382, 2017, 1005, 1040, 2525, 2741, 1999, 1996, 4646, 1012, 1000, 1000, 2017, 4694, 1005, 1056, 3214, 2000, 1012, 1000, 1000, 2821, 1010, 2307, 1012, 1000, 1000, 2085, 1045, 2031, 2000, 2022, 10263, 2011, 2122, 2111, 1012, 1000, 1000, 2821, 1010, 18243, 2401, 999, 1000, 1000, 2017, 2288, 2019, 4357, 1029, 1000, 1000, 3398, 1010, 2033, 1998, 13568, 1011, 3157, 2060, 13527, 1012, 1000, 1000, 2831, 2055, 3110, 2569, 1012, 1000, 1000, 2021, 1010, 2017, 2323, 2514, 2569, 1012, 1000, 1000, 2017, 1005, 2128, 1037, 9914, 999, 1000, 1000, 2017, 1005, 2128, 2006, 2115, 2126, 1012, 1000, 1000, 4661, 1010, 2130, 2437, 2009, 2023, 2521, 2097, 17894, 1037, 2267, 20247, 2604, 1012, 1000, 1000, 2009, 2965, 1996, 1000, 1000, 10276, 3192, 1005, 1055, 3858, 2054, 1037, 4310, 3265, 2017, 2024, 1012, 1000, 1000, 9616, 1012, 1000, 1000, 2339, 2515, 2023, 2360, 1051, 9468, 6279, 4630, 1029, 1000, 1000, 4931, 1010, 18243, 2401, 1012, 1000, 1000, 2054, 1005, 1055, 2039, 1029, 1000, 1000, 2941, 1010, 2017, 2113, 2008, 10276, 6566, 1045, 2409, 2017, 2055, 1029, 1000, 1000, 1045, 2081, 1996, 4399, 1012, 1000, 1000, 2008, 1005, 1055, 2307, 1012, 1000, 1000, 2061, 2106, 1045, 1012, 1000, 1000, 2017, 4162, 1029, 1000, 1000, 3398, 1012, 1000, 1000, 4283, 2005, 5599, 2033, 2113, 2055, 2009, 1012, 1000, 1000, 5599, 2017, 2085, 2055, 2009, 1029, 1000, 1000, 8628, 1010, 9530, 19699, 18702, 1010, 26445, 12333, 2139, 24105, 2891, 1012, 1000, 1000, 20277, 1010, 13012, 2989, 8787, 27885, 3630, 25171, 2791, 1012, 1000, 1000, 1045, 2156, 2013, 2023, 2862, 1045, 22817, 2008, 2057, 1005, 2310, 2035, 2042, 8357, 11007, 1997, 1996, 2516, 1010, 10276, 3192, 9914, 1010, 1998, 1045, 2005, 2028, 1010, 2572, 19021, 6834, 1999, 1996, 8652, 1997, 2017, 2048, 8403, 6456, 1012, 1000, 1000, 2025, 2000, 5254, 1010, 2026, 2219, 11320, 11233, 11020, 10127, 1012, 1000, 1000, 25269, 10524, 2860, 1012, 1000, 1000, 2129, 2116, 2111, 2106, 2017, 2425, 2055, 2023, 6566, 1029, 1000, 1000, 2024, 2017, 12489, 1029, 1000, 1000, 1996, 8491, 2111, 2040, 2113, 2055, 2023, 1010, 1996, 2488, 1012, 1000, 1000, 1045, 2812, 1010, 1000, 1000, 2017, 2113, 1010, 1045, 1005, 1049, 2785, 1997, 4527, 2017, 4162, 1010, 2054, 2007, 1996, 2126, 2017, 2020, 3331, 1012, 1000, 1000, 17012, 1012, 1000, 1000, 4474, 1010, 4474, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2092, 1010, 2053, 2524, 5346, 1010, 2157, 1029, 1000, 1000, 2339, 2052, 2017, 2031, 2151, 1029, 1000, 1000, 2021, 1010, 2106, 2017, 2113, 2008, 22126, 15920, 13017, 25072, 2015, 2024, 1037, 4569, 1998, 5250, 25560, 2283, 2833, 1029, 1000, 1000, 18243, 2401, 1010, 2054, 2024, 2017, 2725, 2000, 7374, 2005, 1996, 10276, 4357, 1029, 1000, 1000, 2498, 1012, 1000, 1000, 2007, 2637, 1005, 1055, 2996, 2271, 12074, 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, 1013, 1013, 1027, 1027, 1027, 1011, 2222, 2615, 2213, 1013, 4748, 2102, 1013, 2235, 3367, 4892, 1012, 1044, 1011, 1005, 5373, 2235, 1005, 7817, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1008, 1011, 1039, 1009, 1009, 1011, 1008, 1011, 1027, 1027, 1027, 1013, 1013, 1013, 1013, 1013, 1013, 1996, 2222, 2615, 2213, 21624, 6502, 1013, 1013, 1013, 1013, 2023, 5371, 2003, 5500, 2104, 1996, 2118, 1997, 4307, 2330, 3120, 1013, 1013, 6105, 1012, 2156, 6105, 1012, 19067, 2102, 2005, 4751, 1012, 1013, 1013, 1013, 1013, 1027, 1027, 1027, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1027, 1027, 1027, 1013, 1013, 1013, 1013, 1013, 1013, 2023, 5371, 11859, 1996, 2235, 3367, 4892, 2465, 1012, 1013, 1013, 1013, 1013, 1027, 1027, 1027, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1027, 1027, 1027, 1013, 1013, 1001, 2065, 13629, 2546, 2222, 2615, 2213, 1035, 4748, 2102, 1035, 2235, 3367, 4892, 1035, 1044, 1001, 9375, 2222, 2615, 2213, 1035, 4748, 2102, 1035, 2235, 3367, 4892, 1035, 1044, 1001, 2421, 1000, 2222, 2615, 2213, 1013, 4748, 2102, 1013, 2235, 3726, 16761, 1012, 1044, 1000, 1001, 2421, 1000, 2222, 2615, 2213, 1013, 4748, 2102, 1013, 5164, 2890, 2546, 1012, 1044, 1000, 3415, 15327, 2222, 2615, 2213, 1063, 1013, 1013, 1013, 2235, 3367, 4892, 1011, 1037, 2235, 3367, 4892, 2003, 2074, 1037, 2235, 3726, 16761, 2007, 4725, 1998, 3229, 5668, 1013, 1013, 1013, 2008, 2191, 2009, 2147, 2488, 2004, 1037, 5164, 1006, 1041, 1012, 1043, 1012, 6872, 1009, 4385, 1007, 1012, 23561, 1026, 27121, 4722, 7770, 1028, 2465, 2235, 3367, 4892, 1024, 2270, 2235, 3726, 16761, 1026, 25869, 1010, 4722, 7770, 1028, 1063, 2270, 1024, 1013, 1013, 1013, 12398, 14931, 2953, 1011, 3988, 4697, 2000, 4064, 1012, 2235, 3367, 4892, 1006, 1007, 1063, 1065, 1013, 1013, 1013, 3988, 4697, 2013, 1037, 5164, 2890, 2546, 1012, 2235, 3367, 4892, 1006, 5164, 2890, 2546, 1055, 1007, 1024, 2235, 3726, 16761, 1026, 25869, 1010, 4722, 7770, 1028, 1006, 1055, 1012, 4088, 1006, 1007, 1010, 1055, 1012, 2203, 1006, 1007, 1007, 1063, 1065, 1013, 1013, 1013, 3988, 4697, 2007, 1037, 2846, 1012, 23561, 1026, 2828, 18442, 2009, 3723, 1028, 2235, 3367, 4892, 1006, 2009, 3723, 1055, 1010, 2009, 3723, 1041, 1007, 1024, 2235, 3726, 16761, 1026, 25869, 1010, 4722, 7770, 1028, 1006, 1055, 1010, 1041, 1007, 1063, 1065, 1013, 1013, 3602, 2008, 1999, 2344, 2000, 5587, 2047, 2058, 11066, 2015, 2005, 10439, 10497, 1004, 23911, 1010, 2057, 2031, 2000, 1013, 1013, 24473, 1996, 7900, 4617, 2061, 2004, 2025, 2000, 21089, 5342, 2068, 1012, 1013, 1013, 1013, 1030, 1065, 1013, 1013, 1013, 1030, 2171, 5164, 8775, 1013, 1013, 1013, 1030, 1063, 1013, 1013, 1013, 23911, 2013, 1037, 5567, 5783, 1012, 11675, 23911, 1006, 2946, 1035, 1056, 16371, 10199, 3215, 1010, 25869, 3449, 2102, 1007, 1063, 2023, 1011, 1028, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 23911, 1006, 16371, 10199, 3215, 1010, 3449, 2102, 1007, 1025, 1065, 1013, 1013, 1013, 23911, 2013, 2019, 2009, 6906, 4263, 3940, 1012, 23561, 1026, 2828, 18442, 1999, 1035, 2009, 2121, 1028, 11675, 23911, 1006, 1999, 1035, 2009, 2121, 1055, 1010, 1999, 1035, 2009, 2121, 1041, 1007, 1063, 2023, 1011, 1028, 3154, 1006, 1007, 1025, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 10439, 10497, 1006, 1055, 1010, 1041, 1007, 1025, 1065, 1013, 1013, 1013, 23911, 2013, 1037, 5164, 2890, 2546, 1012, 11675, 23911, 1006, 5164, 2890, 2546, 1054, 7898, 1007, 1063, 2023, 1011, 1028, 3154, 1006, 1007, 1025, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 10439, 10497, 1006, 1054, 7898, 1012, 4088, 1006, 1007, 1010, 1054, 7898, 1012, 2203, 1006, 1007, 1007, 1025, 1065, 1013, 1013, 1013, 23911, 2013, 1037, 2235, 3726, 16761, 1012, 11675, 23911, 1006, 9530, 3367, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1004, 1054, 7898, 1007, 1063, 2023, 1011, 1028, 3154, 1006, 1007, 1025, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 10439, 10497, 1006, 1054, 7898, 1012, 4088, 1006, 1007, 1010, 1054, 7898, 1012, 2203, 1006, 1007, 1007, 1025, 1065, 1013, 1013, 1013, 1030, 1065, 1013, 1013, 1013, 1030, 2171, 5164, 9530, 16280, 9323, 1013, 1013, 1013, 1030, 1063, 1013, 1013, 1013, 10439, 10497, 2013, 2019, 2009, 6906, 4263, 3940, 1012, 23561, 1026, 2828, 18442, 1999, 1035, 2009, 2121, 1028, 11675, 10439, 10497, 1006, 1999, 1035, 2009, 2121, 1055, 1010, 1999, 1035, 2009, 2121, 1041, 1007, 1063, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 10439, 10497, 1006, 1055, 1010, 1041, 1007, 1025, 1065, 11675, 10439, 10497, 1006, 2946, 1035, 1056, 16371, 10020, 18780, 2015, 1010, 25869, 3449, 2102, 1007, 1063, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 10439, 10497, 1006, 16371, 10020, 18780, 2015, 1010, 3449, 2102, 1007, 1025, 1065, 1013, 1013, 1013, 10439, 10497, 2013, 1037, 5164, 2890, 2546, 1012, 11675, 10439, 10497, 1006, 5164, 2890, 2546, 1054, 7898, 1007, 1063, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 10439, 10497, 1006, 1054, 7898, 1012, 4088, 1006, 1007, 1010, 1054, 7898, 1012, 2203, 1006, 1007, 1007, 1025, 1065, 1013, 1013, 1013, 10439, 10497, 2013, 1037, 2235, 3726, 16761, 1012, 11675, 10439, 10497, 1006, 9530, 3367, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1004, 1054, 7898, 1007, 1063, 2235, 3726, 16761, 5714, 24759, 1026, 25869, 1028, 1024, 1024, 10439, 10497, 1006, 1054, 7898, 1012, 4088, 1006, 1007, 1010, 1054, 7898, 1012, 2203, 1006, 1007, 1007, 1025, 1065, 1013, 1013, 1013, 1030, 1065, 1013, 1013, 1013, 1030, 2171, 5164, 7831, 1013, 1013, 1013, 1030, 1063, 1013, 1013, 1013, 4638, 2005, 5164, 9945, 1012, 2023, 2003, 2062, 8114, 2084, 12826, 1006, 1007, 2043, 1013, 1013, 1013, 1996, 5816, 13063, 1997, 1999, 2063, 26426, 7817, 3475, 1005, 1056, 2734, 1012, 22017, 2140, 19635, 1006, 5164, 2890, 2546, 1054, 7898, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 19635, 1006, 1054, 7898, 1007, 1025, 1065, 1013, 1013, 1013, 4638, 2005, 5164, 9945, 1010, 9217, 2553, 1012, 22017, 2140, 19635, 1035, 2896, 1006, 5164, 2890, 2546, 1054, 7898, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 19635, 1035, 2896, 1006, 1054, 7898, 1007, 1025, 1065, 1013, 1013, 1013, 12826, 2048, 7817, 1025, 1996, 2765, 2003, 1011, 1015, 1010, 1014, 1010, 2030, 1015, 2065, 2023, 5164, 2003, 1013, 1013, 1013, 16105, 3597, 14773, 3973, 2625, 2084, 1010, 5020, 2000, 1010, 2030, 3618, 2084, 1996, 1032, 1052, 1054, 7898, 1012, 20014, 12826, 1006, 5164, 2890, 2546, 1054, 7898, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 12826, 1006, 1054, 7898, 1007, 1025, 1065, 1013, 1013, 1013, 12826, 1035, 2896, 1011, 12826, 2048, 7817, 1010, 9217, 2553, 1012, 20014, 12826, 1035, 2896, 1006, 5164, 2890, 2546, 1054, 7898, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 12826, 1035, 2896, 1006, 1054, 7898, 1007, 1025, 1065, 1013, 1013, 1013, 12826, 1035, 16371, 25531, 1011, 12826, 2048, 7817, 1010, 12318, 10071, 1997, 16648, 2004, 1013, 1013, 1013, 3616, 1012, 20014, 12826, 1035, 16371, 25531, 1006, 5164, 2890, 2546, 1054, 7898, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 12826, 1035, 16371, 25531, 1006, 1054, 7898, 1007, 1025, 1065, 1013, 1013, 1013, 1030, 1065, 1013, 1013, 1013, 1030, 2171, 5164, 3653, 16467, 2015, 1013, 1013, 1013, 1030, 1063, 1013, 1013, 1013, 4627, 24415, 1011, 4638, 2065, 2023, 5164, 4627, 2007, 1996, 2445, 1032, 1052, 17576, 1012, 22017, 2140, 4627, 24415, 1006, 5164, 2890, 2546, 17576, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 4627, 24415, 1006, 17576, 1007, 1025, 1065, 1013, 1013, 1013, 4515, 24415, 1011, 4638, 2065, 2023, 5164, 4515, 2007, 1996, 2445, 1032, 1052, 16809, 1012, 22017, 2140, 4515, 24415, 1006, 5164, 2890, 2546, 16809, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 4515, 24415, 1006, 16809, 1007, 1025, 1065, 1013, 1013, 1013, 1030, 1065, 1013, 1013, 1013, 1030, 2171, 5164, 6575, 1013, 1013, 1013, 1030, 1063, 1013, 1013, 1013, 2424, 1011, 3945, 2005, 1996, 2034, 2839, 1032, 1052, 1039, 1999, 1996, 5164, 1012, 1013, 1013, 1013, 1013, 1013, 1013, 1032, 2709, 1011, 1996, 5950, 1997, 1996, 2034, 14404, 1997, 1032, 1052, 1039, 1010, 2030, 27937, 2891, 2065, 2025, 1013, 1013, 1013, 2179, 1012, 2946, 1035, 1056, 2424, 1006, 25869, 1039, 1010, 2946, 1035, 1056, 2013, 1027, 1014, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 2424, 1006, 1039, 1010, 2013, 1007, 1025, 1065, 1013, 1013, 1013, 3945, 2005, 1996, 2034, 5164, 1032, 1052, 2358, 2099, 1999, 1996, 5164, 1012, 1013, 1013, 1013, 1013, 1013, 1013, 1032, 5651, 1996, 5950, 1997, 1996, 2034, 14404, 1997, 1032, 1052, 2358, 2099, 1010, 2030, 27937, 2891, 2065, 2025, 1013, 1013, 1013, 2179, 1012, 2946, 1035, 1056, 2424, 1006, 5164, 2890, 2546, 2358, 2099, 1010, 2946, 1035, 1056, 2013, 1027, 1014, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 2424, 1006, 2358, 2099, 1010, 2013, 1007, 1025, 1065, 1013, 1013, 1013, 3945, 2005, 1996, 2197, 2839, 1032, 1052, 1039, 1999, 1996, 5164, 1012, 1013, 1013, 1013, 1013, 1013, 1013, 1032, 5651, 1996, 5950, 1997, 1996, 2197, 14404, 1997, 1032, 1052, 1039, 1010, 2030, 27937, 2891, 2065, 2025, 1013, 1013, 1013, 2179, 1012, 2946, 1035, 1056, 21792, 22254, 1006, 25869, 1039, 1010, 2946, 1035, 1056, 2013, 1027, 5164, 2890, 2546, 1024, 1024, 27937, 2891, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 21792, 22254, 1006, 1039, 1010, 2013, 1007, 1025, 1065, 1013, 1013, 1013, 3945, 2005, 1996, 2197, 5164, 1032, 1052, 2358, 2099, 1999, 1996, 5164, 1012, 1013, 1013, 1013, 1013, 1013, 1013, 1032, 5651, 1996, 5950, 1997, 1996, 2197, 14404, 1997, 1032, 1052, 2358, 2099, 1010, 2030, 27937, 2891, 2065, 2025, 1013, 1013, 1013, 2179, 1012, 2946, 1035, 1056, 21792, 22254, 1006, 5164, 2890, 2546, 2358, 2099, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 21792, 22254, 1006, 2358, 2099, 1007, 1025, 1065, 1013, 1013, 1013, 2424, 1996, 2034, 2839, 1999, 1996, 5164, 2008, 2003, 1032, 1052, 1039, 1010, 2030, 27937, 2891, 2065, 2025, 1013, 1013, 1013, 2179, 1012, 2168, 2004, 2424, 1012, 2946, 1035, 1056, 2424, 1035, 2034, 1035, 1997, 1006, 25869, 1039, 1010, 2946, 1035, 1056, 2013, 1027, 1014, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 2424, 1035, 2034, 1035, 1997, 1006, 1039, 1010, 2013, 1007, 1025, 1065, 1013, 1013, 1013, 2424, 1996, 2034, 2839, 1999, 1996, 5164, 2008, 2003, 1999, 1032, 1052, 25869, 2015, 1010, 2030, 27937, 2891, 2065, 1013, 1013, 1013, 2025, 2179, 1012, 1013, 1013, 1013, 1013, 1013, 1013, 11619, 1024, 1051, 1006, 2946, 1006, 1007, 1009, 25869, 2015, 1012, 2946, 1006, 1007, 1007, 2946, 1035, 1056, 2424, 1035, 2034, 1035, 1997, 1006, 5164, 2890, 2546, 25869, 2015, 1010, 2946, 1035, 1056, 2013, 1027, 1014, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 2424, 1035, 2034, 1035, 1997, 1006, 25869, 2015, 1010, 2013, 1007, 1025, 1065, 1013, 1013, 1013, 2424, 1996, 2034, 2839, 1999, 1996, 5164, 2008, 2003, 2025, 1032, 1052, 1039, 2030, 27937, 2891, 2065, 2025, 1013, 1013, 1013, 2179, 1012, 2946, 1035, 1056, 2424, 1035, 2034, 1035, 2025, 1035, 1997, 1006, 25869, 1039, 1010, 2946, 1035, 1056, 2013, 1027, 1014, 1007, 9530, 3367, 1063, 2709, 2358, 2099, 1006, 1007, 1012, 2424, 1035, 2034, 1035, 2025, 1035, 1997, 1006, 1039, 1010, 2013, 1007, 1025, 1065, 1013, 1013, 1013, 2424, 1996, 2034, 2839, 1999, 1996, 5164, 2008, 2003, 2025, 1999, 1996, 5164, 1013, 1013, 1013, 1032, 1052, 25869, 2015, 1010, 2030, 27937, 2891, 2065, 2025, 2179, 1012, 1013, 1013, 1013, 1013, 1013, 1013, 11619, 1024, 1051, 1006, 2946, 1006, 1007, 1009, 25869, 2015, 1012, 2946, 1006, 1007, 1007, 2946, 1035, 1056, 2424, 1035, 2034, 1035, 2025, 1035, 1997, 1006, 5164, 2890, 2546, 25869, 2015, 1010, 2946, 1035, 1056, 2013, 1027, 1014, 1007, 9530, 3367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 25374, 1042, 1012, 10514, 9397, 1012, 16333, 1006, 2901, 1007, 19607, 2666, 11608, 1010, 20579, 1010, 1058, 1012, 23268, 5072, 2194, 1010, 3802, 2632, 1012, 1010, 16362, 1012, 25022, 2615, 1012, 2053, 1012, 1044, 6564, 1011, 25191, 1006, 8915, 2278, 1007, 1012, 2142, 2163, 2212, 2457, 1010, 1040, 1012, 6117, 1012, 2233, 2385, 1010, 2901, 1012, 1008, 16471, 8427, 1010, 19361, 1010, 9033, 23373, 1004, 16185, 11715, 1010, 2047, 4033, 1010, 9530, 2078, 1012, 1010, 2005, 20579, 1012, 11404, 1010, 19817, 4887, 2497, 1010, 17710, 27235, 1004, 9413, 17884, 2063, 1010, 2047, 4033, 1010, 9530, 2078, 1012, 1010, 2005, 13474, 1010, 23268, 5072, 2522, 1012, 4139, 2386, 1010, 4012, 3051, 1010, 8981, 1004, 17891, 1010, 3766, 1010, 2522, 17791, 1004, 2016, 11106, 2100, 1010, 27986, 1010, 9530, 2078, 1012, 1010, 2005, 13474, 1010, 2728, 7638, 1012, 6996, 2006, 16362, 1005, 15323, 2005, 12654, 8689, 18856, 8486, 2063, 1010, 3026, 2212, 3648, 1012, 1996, 20579, 1010, 1037, 2304, 6926, 1010, 2761, 6406, 2023, 2895, 2006, 2233, 2410, 1010, 3069, 1025, 2010, 2117, 13266, 12087, 2035, 24746, 2015, 2008, 16362, 2728, 7638, 1998, 23268, 5072, 2194, 14424, 2516, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3261, 1010, 1998, 2008, 23268, 2036, 14424, 2516, 8890, 1006, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 1073, 2456, 2063, 1011, 1016, 1998, 2456, 2063, 1011, 1017, 1007, 1010, 2011, 5860, 20026, 19185, 2114, 2032, 2006, 1996, 3978, 1997, 2010, 2679, 1012, 2002, 4447, 2000, 2031, 2042, 1024, 1015, 1007, 6380, 10319, 6695, 1025, 1016, 1007, 13532, 2000, 5762, 16011, 1998, 6380, 5020, 3477, 1998, 5020, 3949, 1025, 1998, 1017, 1007, 2128, 9080, 15070, 2114, 2005, 2383, 6406, 1037, 2679, 9147, 4366, 2007, 1996, 5020, 6107, 6695, 3222, 1012, 5456, 2383, 2042, 2949, 1010, 2119, 16362, 2333, 2005, 12654, 8689, 2006, 2035, 9294, 1012, 1996, 16362, 1005, 15323, 2024, 4379, 1999, 2112, 1010, 2006, 1996, 1073, 3261, 16011, 1998, 5020, 3949, 4447, 1999, 4175, 2093, 1025, 2174, 1010, 2138, 3430, 8866, 3961, 1999, 7593, 7175, 1996, 20579, 1005, 1055, 2060, 4447, 1010, 1996, 16362, 1005, 15323, 2024, 6380, 1012, 1045, 1012, 4281, 20579, 19607, 2666, 11608, 1006, 1000, 11608, 1000, 1007, 1010, 1037, 2304, 6926, 1010, 2038, 2042, 4846, 2011, 13474, 23268, 5072, 2194, 1006, 1000, 23268, 1000, 1007, 2012, 2049, 9698, 2078, 1005, 1055, 2391, 3269, 1999, 14554, 2015, 7115, 1010, 6117, 2144, 2244, 3411, 1012, 2002, 2038, 10843, 2499, 1999, 1996, 3269, 2578, 2030, 6032, 2533, 2144, 2251, 3381, 1012, 11608, 1005, 1055, 2034, 8775, 1999, 2008, 2533, 2001, 2004, 1037, 6032, 16661, 26758, 1010, 1998, 6920, 2002, 2001, 3755, 2000, 6032, 16661, 1999, 2281, 3339, 1010, 1998, 2000, 3026, 6032, 16661, 1010, 1996, 3284, 2512, 1011, 26653, 2597, 1999, 2008, 2533, 1010, 1999, 2089, 3301, 1012, 11608, 1005, 1055, 7590, 1998, 4792, 2005, 12607, 2020, 3858, 2011, 23268, 1010, 1998, 2002, 2001, 3811, 6758, 2306, 2010, 2533, 1012, 1999, 3196, 1010, 13474, 2728, 7638, 1006, 1000, 7638, 1000, 1007, 2150, 11608, 1005, 1055, 12366, 1999, 1996, 6032, 2533, 1012, 1999, 3118, 1010, 7638, 2716, 2000, 1996, 3086, 1997, 3269, 3208, 2198, 15578, 12190, 20501, 1996, 15619, 1997, 1037, 26653, 2597, 1999, 1996, 6032, 2533, 1010, 1998, 6749, 8207, 2474, 22494, 2595, 1010, 1037, 2317, 3287, 1010, 2005, 2008, 2597, 1012, 15578, 12190, 20501, 2018, 2345, 3247, 1011, 2437, 3691, 2058, 2008, 4712, 3247, 1025, 2174, 1010, 7638, 1005, 1055, 9312, 1997, 3105, 2836, 2001, 1037, 5387, 2029, 15578, 12190, 20501, 2641, 1008, 16459, 2043, 2437, 2008, 3247, 1012, 2006, 2254, 2654, 1010, 3106, 1010, 15578, 12190, 20501, 3755, 2474, 22494, 2595, 2000, 1996, 2597, 1997, 12366, 1012, 2006, 2258, 1022, 1010, 3106, 1010, 11608, 6406, 1037, 12087, 2007, 1996, 2142, 2163, 5020, 4495, 3222, 1006, 1000, 25212, 10085, 1000, 1007, 23294, 2008, 2002, 2042, 5860, 20026, 15833, 2114, 2011, 23268, 2138, 1997, 2010, 2679, 1012, 2002, 3555, 2008, 2002, 2018, 2042, 6380, 10319, 6695, 1010, 2363, 11658, 3477, 1010, 1998, 2042, 13532, 2000, 3558, 1998, 12064, 6905, 2138, 1997, 2010, 2679, 1012, 11608, 1005, 1055, 2836, 9312, 5464, 2306, 1996, 6032, 2533, 6430, 2013, 5351, 1997, 2570, 5126, 1999, 3106, 2000, 5767, 1997, 2322, 1999, 2960, 1012, 2006, 2233, 2410, 1010, 3069, 1010, 11608, 6406, 1996, 2556, 9870, 1012, 1999, 2010, 2117, 13266, 12087, 1010, 11608, 2035, 24746, 2015, 2008, 7638, 1998, 23268, 14424, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3261, 1031, 1015, 1033, 1010, 1998, 2036, 2008, 23268, 14424, 2516, 8890, 1997, 1996, 3546, 2942, 2916, 2552, 1010, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 1073, 2456, 2063, 1011, 1016, 1998, 2456, 2063, 1011, 1017, 1010, 1031, 1016, 1033, 2011, 5860, 20026, 19185, 2114, 2032, 2138, 1997, 2010, 2679, 1010, 1999, 1996, 2206, 3971, 1024, 1015, 1012, 14920, 1997, 10319, 6695, 1006, 9294, 2028, 1998, 2048, 1007, 1025, 1016, 1012, 7638, 3395, 2075, 11608, 2000, 1010, 1998, 23268, 24523, 11608, 2000, 2022, 13532, 2000, 1010, 5762, 16011, 1025, 1998, 14920, 2000, 2032, 5020, 3408, 1997, 6107, 1998, 5020, 3477, 1006, 4175, 2093, 1007, 1025, 1998, 1017, 1012, 23208, 11608, 1005, 1055, 2836, 2004, 14092, 1010, 1999, 18695, 2005, 15242, 1037, 2679, 9147, 12087, 2007, 1996, 25212, 10085, 1006, 4175, 2176, 1007, 1012, 1999, 3069, 1010, 23268, 3755, 3782, 13970, 17802, 2050, 1010, 1037, 2317, 3287, 1010, 2000, 1996, 2597, 1997, 12366, 1999, 1996, 2358, 12541, 11253, 10441, 2213, 2533, 1025, 1998, 1999, 2997, 1010, 1999, 1996, 2607, 1997, 1037, 3674, 5073, 5670, 1010, 23268, 3755, 3505, 14753, 11639, 2080, 1010, 1037, 2317, 3287, 1010, 2000, 1037, 26653, 2597, 1999, 1996, 2397, 2595, 2533, 1012, 15578, 12190, 20501, 2018, 2345, 6098, 3691, 2058, 2119, 15365, 1012, 2462, 1012, 3081, 8553, 1997, 11608, 1005, 1055, 1073, 3261, 4447, 1999, 2112, 1010, 23268, 1998, 7638, 4366, 4372, 3775, 24007, 2000, 12654, 8689, 2138, 1997, 1996, 7613, 1997, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3261, 2011, 1996, 4259, 2457, 1999, 12424, 1058, 1012, 17602, 1010, 1035, 1035, 1035, 1057, 1012, 1055, 1012, 1035, 1035, 1035, 1010, 11518, 1055, 1012, 14931, 1012, 23593, 2509, 1010, 8746, 1048, 1012, 3968, 1012, 14134, 14078, 1006, 2960, 1007, 1010, 2004, 2009, 12033, 2000, 11608, 1005, 1055, 4447, 2104, 2008, 11671, 1012, 1037, 1012, 1996, 9531, 1997, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3261, 1024, 12424, 1058, 1012, 17602, 2516, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3261, 1000, 25822, 5762, 9147, 1999, 1996, 2437, 1998, 7285, 1997, 2797, 8311, 1012, 1000, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2692, 1012, 2174, 1010, 1000, 1031, 1055, 1033, 14925, 3508, 3261, 3685, 2022, 9530, 3367, 28551, 2004, 1037, 2236, 4013, 22483, 3258, 1997, 5762, 9147, 1999, 2035, 5919, 1997, 3206, 4262, 1010, 2005, 2009, 4671, 2135, 25822, 9147, 2069, 1999, 1996, 2437, 1998, 7285, 1997, 8311, 1012, 1000, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2475, 1012, 1031, 1056, 1033, 2002, 2157, 2000, 2191, 8311, 2515, 2025, 7949, 1012, 1012, 1012, 2000, 6204, 2011, 1996, 11194, 2044, 1996, 3206, 7189, 2038, 2042, 2511, 1010, 2164, 12510, 1997, 1996, 3408, 1997, 1996, 3206, 2030, 1996, 17727, 19234, 1997, 5860, 20026, 28230, 2551, 3785, 1012, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2509, 1012, 1996, 4259, 2457, 4919, 2218, 2008, 5762, 16011, 2011, 2019, 11194, 2003, 2025, 1999, 1998, 1997, 2993, 10890, 2011, 1073, 3261, 1010, 2144, 2009, 14623, 2000, 9147, 1999, 1996, 1000, 2147, 4044, 1010, 1000, 1998, 1996, 3408, 1998, 3785, 1997, 5719, 6107, 1010, 2025, 2000, 9147, 1999, 1996, 2437, 2030, 7285, 1997, 1996, 6107, 3206, 2993, 1012, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2549, 1012, 2174, 1010, 1073, 3261, 2515, 23469, 5762, 9147, 1999, 3056, 4127, 1997, 15365, 1024, 1031, 1056, 1033, 2002, 3160, 3251, 1037, 4712, 4366, 2003, 2895, 3085, 2104, 1073, 3261, 9041, 2588, 3251, 1996, 3267, 1997, 1996, 2689, 1999, 2597, 2001, 2107, 2008, 2009, 2920, 1996, 4495, 2000, 4607, 2046, 1037, 2047, 3206, 1008, 17332, 2007, 1996, 11194, 1012, 2065, 2061, 1010, 2059, 1996, 11194, 1005, 1055, 13948, 2000, 4607, 1996, 2047, 3206, 1031, 23640, 2015, 1033, 1073, 3261, 1012, 1012, 1012, 1012, 2069, 2073, 1037, 4712, 9466, 2000, 1996, 2504, 1997, 2019, 4495, 2005, 1037, 2047, 1998, 5664, 7189, 2090, 1996, 7904, 1998, 1996, 11194, 2003, 2107, 1037, 4366, 2895, 3085, 2104, 1073, 3261, 1012, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2581, 1012, 1996, 4259, 2457, 2036, 3264, 2008, 1073, 3261, 1005, 1055, 11302, 1997, 1000, 1996, 2168, 2157, 2000, 1012, 1012, 1012, 16306, 8311, 1012, 1012, 1012, 2004, 2003, 5632, 2011, 2317, 4480, 1000, 2950, 3860, 2114, 12590, 2797, 4073, 2000, 17727, 14728, 3229, 2000, 1996, 5434, 2030, 27885, 3367, 6820, 6593, 2512, 9103, 14808, 4818, 4725, 1997, 4748, 9103, 14808, 5844, 11936, 2055, 1996, 2486, 1997, 8031, 14422, 1010, 2004, 2092, 2004, 9147, 2011, 2797, 11422, 1010, 2107, 2004, 4450, 9209, 1010, 1999, 27455, 1996, 3408, 1997, 1037, 3206, 1012, 2156, 14514, 1058, 1012, 5355, 3619, 3886, 2522, 1012, 1010, 4466, 2475, 1057, 1012, 1055, 1012, 3515, 2575, 1031, 10550, 1055, 1012, 14931, 1012, 24441, 2581, 1010, 5986, 1048, 1012, 3968, 1012, 14134, 5401, 2475, 1033, 1006, 3055, 1007, 1012, 1996, 2157, 2000, 16306, 8311, 2515, 2025, 1010, 2174, 1010, 7949, 3458, 6204, 2011, 2019, 11194, 2029, 17727, 11215, 2015, 2019, 7904, 1005, 1055, 3754, 2000, 16306, 2083, 3423, 2832, 2010, 2030, 2014, 2511, 3206, 2916, 1012, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2509, 1012, 1038, 1012, 4175, 2048, 1024, 14920, 1997, 10319, 4495, 1037, 5762, 2135, 5860, 20026, 28230, 4712, 23640, 2015, 1073, 3261, 2069, 2073, 1000, 1996, 4712, 9466, 2000, 1996, 2504, 1997, 2019, 4495, 2000, 4607, 2046, 1037, 2047, 1998, 5664, 7189, 2090, 1996, 7904, 1998, 1996, 11194, 1012, 1000, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2581, 1012, 20423, 2484, 1997, 11608, 1005, 1055, 2117, 13266, 12087, 12045, 2035, 24746, 2015, 2008, 1037, 4712, 2000, 12366, 2052, 9125, 1037, 1000, 2047, 1998, 5664, 1000, 3276, 1012, 2096, 4445, 13474, 2038, 7259, 2023, 7814, 1997, 11608, 1005, 1055, 4366, 1010, 1031, 1017, 1033, 11608, 2038, 3591, 3350, 2008, 1996, 7882, 15365, 1010, 2013, 3026, 6032, 16661, 2000, 12366, 1010, 2052, 2031, 2920, 1037, 2689, 2013, 2019, 21462, 1011, 11897, 26286, 2597, 2000, 1037, 16183, 8486, 2098, 1010, 24465, 2028, 1010, 2007, 1037, 6937, 3623, 1999, 5368, 1010, 2107, 2004, 1996, 10429, 1997, 2060, 5126, 1010, 1998, 2025, 1037, 8210, 2689, 1999, 3477, 2030, 2516, 1012, 1996, 2457, 4858, 2008, 2169, 1997, 1996, 7882, 15365, 2052, 2031, 2719, 1037, 1000, 2047, 1998, 5664, 1000, 3206, 1997, 6107, 1010, 1998, 1010, 3568, 1010, 4175, 2048, 2035, 24746, 2015, 1037, 11371, 1997, 4413, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3261, 1012, 1031, 1018, 1033, 1039, 1012, 4175, 2093, 1024, 5762, 16011, 1010, 14920, 1997, 5020, 3408, 1997, 6107, 1010, 1998, 14920, 1997, 5020, 3477, 1999, 4175, 2093, 1010, 1996, 20579, 4447, 2008, 7638, 2038, 7714, 13532, 2032, 2000, 5762, 16011, 1010, 19626, 2015, 1998, 6905, 1010, 1998, 2008, 2010, 11194, 1010, 23268, 1010, 2038, 3039, 2032, 2000, 2022, 2061, 13532, 1025, 1998, 2008, 2002, 2038, 2042, 6380, 5020, 3408, 1997, 6107, 1998, 5020, 3477, 2138, 1997, 2010, 2679, 1012, 5762, 16011, 1997, 2019, 7904, 2515, 2025, 14396, 2000, 1996, 2437, 2030, 7285, 1997, 1996, 6107, 3206, 1010, 2021, 2612, 1000, 17727, 19341, 4570, 1996, 2836, 1997, 2511, 3206, 14422, 1998, 1996, 3785, 1997, 5719, 6107, 1012, 1000, 12424, 1010, 11518, 1055, 1012, 14931, 1012, 2012, 23297, 2509, 1012, 3568, 1010, 1996, 6204, 6884, 1999, 4175, 2093, 2515, 2025, 23640, 1073, 3261, 1012, 11608, 4447, 1010, 2174, 1010, 2008, 2010, 16011, 4447, 3961, 14874, 2104, 1073, 3261, 2006, 2048, 8106, 1024, 2034, 1010, 2008, 1996, 4127, 1997, 16011, 2002, 2035, 24746, 2015, 2024, 10890, 2011, 1073, 3261, 1010, 2138, 1024, 1008, 5018, 1037, 1012, 7638, 28186, 11608, 16533, 2000, 17727, 11215, 2010, 3754, 2000, 2022, 3755, 2000, 12366, 1025, 1998, 1038, 1012, 1996, 16011, 1998, 16655, 26426, 3949, 4265, 2012, 23268, 2003, 3350, 2008, 23268, 5860, 20026, 15833, 2006, 1996, 3978, 1997, 2679, 2012, 1996, 2051, 1997, 1996, 4195, 1997, 11608, 1005, 1055, 6107, 3206, 1025, 1998, 2117, 1010, 2008, 1996, 3173, 1997, 12424, 2323, 2025, 6611, 1000, 22307, 19620, 2135, 1000, 2000, 11608, 1005, 1055, 4447, 1012, 1996, 2457, 2097, 4780, 4769, 2169, 1997, 2122, 9918, 1012, 1015, 1012, 16011, 2004, 11099, 2007, 4712, 11608, 4447, 2008, 7638, 28186, 2032, 16533, 2000, 17727 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 3166, 1024, 1011, 1005, 1031, 10356, 9341, 6583, 3669, 1010, 6187, 20011, 3089, 1006, 2009, 1007, 1010, 1052, 2546, 12032, 2072, 1030, 5650, 1012, 2009, 1033, 1063, 1065, 1005, 2516, 1024, 1005, 1031, 1008, 1008, 14477, 11737, 14122, 20409, 3258, 2063, 18704, 5946, 8611, 4190, 3351, 4487, 4013, 3676, 14454, 6590, 4487, 13433, 24077, 1006, 1037, 3622, 6947, 1997, 1996, 13433, 24077, 9723, 2375, 1007, 1008, 1008, 1033, 1063, 1065, 1005, 1011, 1011, 1011, 1996, 3800, 1997, 2023, 3259, 2003, 2000, 6011, 3495, 1010, 2011, 2019, 4732, 4118, 1010, 1996, 13433, 24077, 9723, 2375, 1012, 2023, 6947, 2003, 3253, 2004, 2019, 4522, 2000, 1996, 2062, 5156, 29280, 2013, 8026, 20936, 2389, 4353, 1999, 1996, 5787, 1997, 2235, 4013, 3676, 14680, 1012, 1996, 2168, 6947, 2003, 2059, 4162, 2000, 1996, 5576, 1997, 1037, 3291, 1999, 7778, 9760, 1012, 8840, 8040, 7361, 2080, 4487, 8795, 2080, 2396, 11261, 4135, 1041, 11737, 14122, 19848, 2063, 18704, 5946, 3672, 2063, 1010, 9530, 4895, 2777, 7716, 2080, 5783, 12069, 1010, 2474, 4190, 3351, 4487, 4013, 3676, 14454, 6590, 4487, 13433, 24077, 1012, 8795, 2050, 11737, 14122, 20409, 3258, 2063, 1041, 17678, 28696, 1999, 11477, 19833, 11444, 25699, 14255, 2226, 9530, 6342, 12928, 4315, 11444, 20574, 17488, 2721, 4487, 3367, 3089, 8569, 20574, 8026, 20936, 9453, 11265, 2140, 5787, 2063, 24121, 27263, 25778, 2063, 4013, 3676, 14454, 6590, 1012, 2474, 26261, 11488, 11737, 14122, 20409, 3258, 2063, 20098, 2638, 21864, 16089, 10439, 19341, 2696, 25699, 14017, 17040, 3258, 2063, 4487, 4895, 3291, 2050, 4487, 21340, 12782, 28093, 6553, 2050, 1012, 17174, 8566, 20574, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2474, 4190, 3351, 1006, 1051, 4569, 20574, 1010, 1051, 4487, 3367, 3089, 8569, 20574, 1031, 1034, 1015, 1033, 1007, 4487, 4013, 3676, 14454, 6590, 4487, 13433, 24077, 1010, 1051, 13433, 24077, 11410, 1010, 1002, 1002, 1052, 1006, 1060, 1025, 1032, 14163, 1007, 1027, 1032, 25312, 2278, 1063, 1032, 14163, 1032, 1010, 1034, 1060, 2063, 1034, 1063, 1011, 1032, 14163, 1065, 1065, 1063, 1060, 1032, 1010, 999, 1065, 1002, 1002, 4487, 11498, 11368, 3217, 1002, 1032, 14163, 1032, 1010, 1002, 1010, 9686, 18098, 14428, 2474, 4013, 3676, 14454, 6590, 18178, 1002, 1060, 1002, 2724, 2072, 9033, 2310, 3089, 8873, 17231, 2080, 1999, 23624, 6906, 10017, 2063, 1999, 4895, 23755, 2080, 13483, 4135, 4487, 13657, 24110, 3527, 1999, 2865, 7367, 11265, 2310, 3089, 8873, 23803, 1002, 1032, 14163, 1032, 1010, 1002, 1012, 2474, 9033, 21183, 18622, 20715, 1999, 26179, 16103, 10698, 1999, 12731, 2072, 2139, 25394, 2724, 2072, 9033, 10514, 11393, 12193, 17175, 11265, 2140, 13657, 1999, 16913, 2080, 27427, 15457, 25915, 2618, 2272, 1010, 4748, 9686, 1012, 1010, 3393, 4487, 11493, 2618, 17643, 12426, 3490, 2557, 19321, 3512, 1051, 3393, 9610, 8067, 2618, 4372, 6494, 16778, 1999, 4895, 2430, 5740, 10093, 12879, 12356, 2080, 1012, 1041, 28093, 2080, 9808, 8043, 22879, 2080, 1031, 1030, 19772, 16147, 16086, 1033, 18178, 9587, 7096, 2072, 5622, 23736, 4487, 3231, 2080, 4487, 8915, 11069, 24121, 4013, 3676, 14454, 6590, 9033, 16222, 28040, 12380, 3630, 4487, 4315, 28739, 2063, 2474, 13433, 24077, 11410, 2272, 5787, 2063, 8611, 4487, 3367, 3089, 8569, 20574, 8026, 20936, 9453, 1002, 1002, 1038, 1006, 1060, 1025, 1050, 1010, 1052, 1007, 1027, 1032, 8026, 5358, 1063, 1050, 1065, 1063, 1060, 1065, 1052, 1032, 1010, 1034, 1060, 1053, 1032, 1010, 1034, 1063, 1050, 1011, 1060, 1065, 1032, 1010, 1010, 1002, 1002, 10855, 1002, 1060, 1002, 1041, 1999, 16371, 5017, 2080, 4487, 3112, 2072, 10514, 1002, 1050, 1002, 6011, 9530, 4013, 3676, 14454, 6590, 4487, 3112, 2080, 1041, 16021, 14194, 9623, 6499, 1010, 15544, 13102, 18319, 3567, 3672, 2063, 1010, 1002, 1052, 1002, 1041, 1002, 1053, 1032, 1010, 1002, 1012, 2474, 4315, 11444, 20574, 4013, 22119, 14255, 2226, 1051, 2273, 2080, 1999, 8795, 2080, 16913, 2080, 1024, 1039, 1521, 1041, 4895, 12604, 16371, 5017, 2080, 1002, 1050, 1002, 4487, 2724, 2072, 18178, 13433, 7092, 2080, 16222, 9648, 2890, 1006, 4748, 9686, 1012, 1010, 9587, 7096, 2072, 11113, 11735, 10450, 2632, 10093, 12879, 17175, 13433, 7092, 2080, 13258, 14477, 9610, 8067, 2696, 1999, 4895, 8292, 5339, 2080, 13483, 4135, 4487, 13657, 1007, 1041, 1039, 1521, 1041, 14477, 27263, 26289, 4013, 3676, 14454, 6590, 1002, 1052, 1002, 18178, 27776, 3563, 2080, 2724, 2080, 19817, 2050, 8795, 2072, 16222, 8447, 1006, 4748, 9686, 1012, 1010, 18178, 27776, 3563, 2080, 11113, 11735, 10610, 9610, 10631, 1007, 1012, 7868, 15482, 18178, 1043, 3669, 2724, 2072, 9033, 6761, 27427, 15457, 25915, 3775, 1010, 6335, 16371, 5017, 2080, 4487, 2724, 2072, 1006, 4748, 9686, 1012, 1010, 3393, 9610, 8067, 2618, 1007, 5292, 28776, 5946, 3672, 2063, 2474, 4487, 3367, 3089, 8569, 20574, 8026, 20936, 9453, 1002, 1038, 1006, 1060, 1025, 1050, 1010, 1052, 1007, 1032, 1010, 1002, 1012, 2227, 15482, 8616, 2063, 1002, 1050, 1002, 2035, 1521, 1999, 16294, 9956, 1041, 1002, 1052, 1002, 1037, 5717, 1999, 16913, 2080, 6925, 4830, 2158, 6528, 7869, 6849, 10111, 6335, 4013, 27364, 3406, 1002, 1050, 1032, 2335, 1052, 1027, 1032, 14163, 1028, 1014, 1032, 1010, 1002, 1010, 20098, 2638, 2087, 8609, 2080, 18178, 2474, 8026, 20936, 9453, 7166, 2063, 25699, 13433, 24077, 11410, 1002, 1052, 1006, 1060, 1025, 1032, 14163, 1007, 1002, 4487, 27314, 2063, 2012, 4570, 2080, 1002, 1032, 14163, 1032, 1010, 1002, 1012, 8795, 2080, 15544, 23722, 29336, 2080, 1010, 9610, 8067, 3406, 8915, 5686, 2863, 1006, 1051, 5787, 2063, 1007, 4487, 13433, 24077, 1010, 1041, 9587, 23223, 2590, 2063, 1041, 9587, 23223, 2025, 2080, 1012, 1041, 1999, 8795, 2080, 16913, 2080, 18178, 2358, 29180, 24996, 2063, 1041, 28093, 2050, 4315, 11444, 2696, 2474, 13433, 24077, 11410, 1031, 1030, 13433, 24077, 15136, 24434, 1033, 3968, 1041, 28093, 2050, 21183, 18622, 20715, 2696, 20970, 2063, 3539, 10439, 19341, 12426, 3490, 10975, 12070, 5369, 1031, 1030, 8945, 5339, 28563, 15136, 2683, 2620, 1033, 1012, 1999, 7367, 25698, 3406, 9033, 1041, 4012, 28994, 2080, 18178, 6335, 28774, 5686, 2863, 4487, 13433, 24077, 1041, 9398, 2080, 1010, 1999, 14477, 2544, 2063, 16913, 18513, 6790, 1010, 2019, 5403, 1999, 26179, 16103, 10698, 1999, 12731, 2072, 1043, 3669, 2724, 2072, 2512, 7658, 3630, 10722, 6916, 2474, 26261, 11488, 4013, 3676, 14454, 6590, 1010, 1041, 2474, 4487, 3367, 3089, 8569, 20574, 5292, 14477, 2433, 2050, 14255, 2226, 2236, 2063, 4487, 10861, 4571, 2434, 2063, 1006, 4487, 3367, 3089, 8569, 20574, 13433, 24077, 1516, 8026, 20936, 9453, 1007, 1031, 1030, 28616, 2229, 16147, 17465, 1033, 1012, 2474, 2358, 13465, 2696, 2128, 2721, 20574, 19817, 2050, 8026, 20936, 9453, 1041, 13433, 24077, 11410, 2777, 2618, 1999, 15544, 12002, 3406, 2474, 2714, 6590, 24121, 2349, 4487, 3367, 3089, 8569, 12426, 3490, 1012, 6819, 1041, 2566, 2080, 19817, 2050, 4487, 9686, 3366, 4895, 1521, 2590, 2063, 11234, 2368, 4143, 1010, 2566, 2512, 18704, 4895, 5688, 2080, 1031, 1030, 17165, 16147, 2683, 2581, 1033, 1024, 9530, 2474, 8026, 20936, 9453, 1010, 1048, 1521, 27776, 1051, 1048, 1521, 12456, 3217, 4487, 2349, 5955, 2072, 4487, 2724, 2072, 1006, 4748, 9686, 1012, 1010, 3112, 2080, 1051, 16021, 14194, 9623, 6499, 1007, 9033, 2310, 3089, 8873, 23803, 1999, 2112, 11261, 8017, 2072, 1051, 21408, 14343, 14191, 2063, 4487, 14477, 7367, 4226, 16786, 5860, 13465, 2050, 1006, 4748, 9686, 1012, 1010, 1999, 14477, 8668, 4487, 9311, 10450, 5737, 1007, 1025, 9530, 2474, 13433, 24077, 11410, 1010, 1048, 1521, 2724, 2080, 15544, 20414, 12956, 20704, 13469, 2638, 1999, 18975, 2072, 10017, 2072, 4487, 4895, 9530, 7629, 19098, 1006, 20965, 1012, 1032, 1031, 20965, 1024, 2391, 21572, 9623, 2015, 1032, 1033, 1007, 1012, 999, 1031, 7148, 12792, 2080, 8040, 28433, 4588, 2080, 19817, 2050, 8026, 20936, 9453, 1041, 13433, 24077, 11410, 1031, 1030, 17165, 16147, 2683, 2581, 1033, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 20965, 1024, 2391, 21572, 9623, 2015, 1000, 1065, 1033, 1006, 2391, 21572, 9623, 2015, 1012, 1052, 3070, 1007, 1063, 9381, 1027, 1000, 1032, 3793, 9148, 11927, 2232, 1000, 1065, 4895, 1521, 12456, 2527, 23408, 5178, 16786, 18178, 9033, 19817, 19321, 2050, 4487, 2349, 4487, 3367, 3089, 8569, 12426, 3490, 4487, 16643, 10111, 1041, 4487, 5955, 2080, 2358, 29180, 2080, 1031, 1030, 3804, 2099, 16147, 24087, 1033, 1024, 2079, 6873, 13433, 24077, 1010, 2474, 4487, 3367, 3089, 8569, 20574, 18178, 3417, 2050, 6335, 10514, 2080, 2053, 4168, 1041, 28093, 2050, 1523, 15544, 26127, 13320, 1524, 4830, 16371, 5017, 20049, 12456, 3089, 14064, 2072, 21183, 18622, 20715, 15482, 17917, 10980, 3775, 2777, 7716, 2072, 1012, 9686, 3736, 16405, 2080, 9686, 8043, 2063, 4315, 11444, 2696, 1051, 2272, 5787, 2063, 8611, 8026, 20936, 9453, 1051, 2272, 4487, 3367, 3089, 8569, 20574, 27427, 15457, 25915, 2618, 4487, 2724, 2072, 10958, 3089, 4487, 3367, 3089, 8569, 25090, 1037, 25222, 2080, 1012, 3393, 4315, 11444, 12426, 3490, 27427, 15457, 25915, 3775, 2365, 2080, 10973, 11589, 3686, 2273, 2080, 4487, 6976, 2063, 11265, 2072, 5622, 23736, 4487, 3231, 2080, 1041, 2236, 3672, 2063, 3653, 6342, 9397, 5063, 17175, 9530, 2891, 27524, 4371, 14255, 2226, 10927, 16786, 2618, 15544, 13102, 20082, 25699, 9530, 6342, 12928, 4315, 11444, 20574, 17488, 2721, 8026, 20936, 9453, 1012, 8840, 8040, 7361, 2080, 4487, 8795, 2080, 2396, 11261, 4135, 1041, 2556, 12069, 14477, 4315, 11444, 20574, 27427, 15457, 25915, 2618, 8611, 13433, 24077, 11410, 1010, 27178, 6528, 13210, 18704, 5946, 3672, 2063, 1011, 1041, 1999, 16913, 2080, 5783, 12069, 1011, 17488, 2832, 2080, 4487, 13433, 24077, 1031, 1034, 1016, 1033, 1999, 14477, 9812, 2063, 1006, 2240, 2050, 15850, 2063, 1007, 1012, 8795, 2050, 20098, 2638, 13433, 2072, 2236, 10993, 4143, 2696, 1037, 2832, 2072, 1999, 14255, 2226, 9812, 2072, 1041, 10439, 19341, 2696, 25699, 14017, 17040, 3258, 2063, 4487, 4895, 4438, 2080, 3291, 2050, 4487, 21340, 12782, 28093, 6553, 2050, 1006, 4487, 3367, 3089, 8569, 20574, 12403, 12871, 2571, 24121, 16709, 25778, 2063, 4487, 4895, 3806, 1007, 1012, 2832, 2080, 4487, 13433, 24077, 1041, 13433, 24077, 11410, 1032, 1031, 7367, 2480, 1032, 1035, 1016, 1032, 1033, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 4895, 2832, 2080, 4487, 13433, 24077, 1041, 14418, 12079, 10993, 4143, 3406, 1010, 11265, 2140, 25222, 2080, 14255, 2226, 7367, 8737, 13231, 1010, 4830, 14477, 8338, 2063, 4487, 2724, 2072, 27427, 15457, 25915, 3775, 9530, 11937, 24137, 1002, 1032, 23375, 1002, 6849, 10111, 1006, 1999, 2865, 1007, 10514, 4895, 13483, 4135, 9530, 7629, 19098, 4487, 28517, 3619, 3258, 2063, 1002, 1056, 1028, 1014, 1002, 1006, 2558, 2080, 4487, 9808, 8043, 3567, 20574, 1007, 1012, 1999, 26179, 16103, 10698, 14255, 2226, 4012, 21112, 3366, 1010, 6335, 19857, 24137, 2139, 25394, 2724, 2072, 16405, 2080, 2556, 12069, 13075, 2401, 12426, 3490, 15544, 13102, 20082, 2632, 7367, 8737, 13231, 8040, 28433, 2358, 16103, 7856, 9488, 1006, 4748, 9686, 1012, 1010, 6335, 11937, 24137, 16405, 2080, 13075, 2401, 2890, 1999, 4569, 20574, 3972, 13657, 1007, 1012, 20970, 2050, 9680, 28994, 4765, 16103, 5643, 22160, 5555, 9587, 23223, 20014, 14663, 11444, 8611, 20965, 1012, 1032, 1031, 20965, 1024, 2391, 21572, 9623, 2015, 1032, 1033, 1043, 3669, 2724, 2072, 1999, 8338, 2063, 2365, 2080, 7148, 8873, 27390, 10450, 2272, 18975, 2072, 11163, 20051, 2072, 10514, 14477, 2240, 2050, 1010, 18178, 16405, 2080, 21934, 14956, 13910, 10440, 2890, 4895, 2846, 15850, 2063, 1051, 4895, 19817, 19321, 2080, 8611, 2128, 5946, 14866, 16371, 5017, 2072, 2613, 2072, 13433, 28032, 12848, 2072, 1012, 8795, 2050, 4078, 26775, 10993, 3258, 2063, 4895, 28173, 3549, 10992, 9453, 16405, 2080, 9686, 8043, 2063, 2236, 10993, 4143, 2696, 1037, 2349, 1010, 29461, 1051, 14255, 2226, 9812, 2072, 5136, 28574, 18975, 2072, 9686, 27870, 16778, 1999, 2024, 2063, 1010, 5285, 12717, 1051, 16021, 2666, 4328, 28616, 4648, 14454, 2072, 1999, 4962, 2890, 1031, 1030, 15536, 3211, 1024, 22038, 2595, 1033, 1012, 7950, 28574, 2632, 2832, 2080, 13433, 24077, 15668, 3972, 5955, 2080, 14255, 2226, 7367, 8737, 13231, 1010, 20010, 3406, 1523, 2358, 16103, 7856, 9488, 1037, 11937, 24137, 19960, 3695, 6849, 10111, 1524, 1010, 10380, 2474, 9530, 4305, 20574, 1002, 1002, 1032, 3830, 1063, 1041, 4160, 1035, 1015, 1065, 1032, 18525, 1035, 1063, 1056, 1032, 2000, 1032, 1999, 6199, 2100, 1065, 1032, 25312, 2278, 1063, 1060, 1065, 1063, 1056, 1065, 1027, 1032, 23375, 1032, 1010, 1010, 1002, 1002, 10855, 1002, 1060, 1002, 1041, 6335, 16371, 5017, 2080, 13988, 7068, 3406, 4487, 2724, 2072, 9530, 2618, 13871, 2401, 3775, 11265, 2140, 13657, 1002, 1056, 1032, 1010, 1002, 1012, 5003, 2272, 9033, 16405, 2080, 17079, 18622, 2890, 7367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4281, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 22935, 4295, 4247, 2000, 2022, 1996, 2877, 3426, 1997, 2331, 1999, 2530, 3032, 1010, 1998, 6115, 2005, 3943, 1012, 1017, 1003, 1997, 1996, 2561, 6677, 5068, 1999, 3577, 1999, 2432, 1032, 1031, 1031, 1030, 29491, 1033, 1032, 1033, 1012, 2491, 1997, 22935, 3891, 5876, 2003, 23934, 2005, 8161, 1996, 22822, 17062, 3012, 1998, 13356, 1997, 1996, 2313, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 2028, 1997, 2122, 3891, 5876, 2003, 23760, 9905, 4244, 27833, 6679, 10092, 1010, 2029, 13531, 2322, 1003, 1997, 1996, 3009, 2313, 2043, 6195, 16480, 4244, 27833, 3798, 1997, 1609, 5539, 11460, 1013, 21469, 1010, 1998, 2753, 1011, 6353, 1003, 2065, 2057, 5136, 3798, 1997, 1609, 3263, 11460, 1013, 21469, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1010, 1031, 1030, 1038, 2549, 1033, 1032, 1033, 1012, 1037, 7399, 3276, 2090, 5816, 22935, 3891, 1998, 16480, 4244, 27833, 3798, 1999, 1996, 2846, 1997, 14168, 2000, 17196, 11460, 1013, 21469, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1010, 1031, 1030, 1038, 2575, 1033, 1032, 1033, 1010, 1998, 1037, 7142, 1010, 16612, 3276, 2090, 2152, 16480, 4244, 27833, 3798, 1998, 2350, 22935, 3891, 1032, 1031, 1031, 1030, 1038, 2581, 1033, 1010, 1031, 1030, 1038, 2620, 1033, 1032, 1033, 2031, 2042, 7645, 1012, 1996, 3945, 2005, 1037, 2488, 2491, 1997, 16480, 4244, 27833, 3798, 2038, 16021, 3775, 11644, 3365, 2913, 1012, 23444, 11433, 2005, 8161, 22935, 7870, 2031, 2042, 3579, 6924, 2006, 1996, 2689, 2030, 7312, 1999, 6638, 2030, 16480, 4244, 27833, 13822, 1032, 1031, 1031, 1030, 1038, 2683, 1033, 1032, 1033, 1012, 2028, 1997, 1996, 9942, 2005, 11381, 1037, 22701, 1011, 2081, 8738, 2005, 2023, 4295, 2003, 1996, 2224, 1997, 9440, 2008, 5383, 3269, 9761, 27896, 1998, 26261, 13153, 2015, 1010, 2029, 5547, 16480, 4244, 27833, 16326, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 1012, 13543, 3269, 26261, 13153, 2015, 2046, 1996, 3679, 8738, 2064, 2896, 5423, 3593, 3798, 2000, 1037, 2714, 6698, 2004, 28093, 7076, 2064, 1010, 1999, 3078, 9740, 1032, 1031, 1031, 1030, 29491, 2487, 1033, 1032, 1033, 1012, 1996, 12391, 2744, 1032, 1000, 8360, 9440, 1032, 1000, 2038, 2042, 2109, 2005, 2035, 3019, 2030, 13995, 2833, 3688, 2008, 3073, 1037, 5770, 3458, 5437, 1010, 28126, 1010, 14902, 2030, 14266, 1010, 1998, 2008, 7461, 19389, 4972, 1999, 1037, 2033, 28329, 2126, 1999, 3408, 1997, 4295, 9740, 2030, 2740, 4712, 1032, 1031, 1031, 1030, 29491, 2475, 1033, 1010, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 1012, 2000, 5791, 12210, 1996, 15380, 1997, 9440, 1010, 2146, 2744, 6612, 2913, 2442, 10580, 2008, 2037, 3180, 8381, 2038, 1037, 3154, 4652, 3512, 3466, 2006, 4295, 2458, 1012, 2045, 2024, 2261, 4758, 2913, 2008, 10580, 1996, 15189, 3466, 1997, 1996, 3180, 8381, 1997, 2028, 3143, 2833, 1032, 1031, 1031, 1030, 29491, 2549, 1033, 1032, 1033, 1012, 1996, 2744, 6887, 22123, 14122, 10624, 4877, 4472, 2119, 3269, 26261, 13153, 2015, 1998, 9761, 27896, 1032, 1031, 1031, 1030, 29491, 2629, 1033, 1032, 1033, 1012, 2027, 2024, 3269, 6177, 2007, 1037, 3252, 2714, 2000, 16480, 4244, 27833, 1032, 1031, 1031, 1030, 29491, 2575, 1033, 1032, 1033, 1010, 2348, 2027, 2024, 2062, 9996, 9063, 2011, 1996, 20014, 4355, 3170, 1012, 2027, 2024, 6219, 2046, 2367, 2967, 5834, 2006, 2037, 3252, 1998, 16012, 6508, 3372, 24124, 1032, 1031, 1031, 1030, 29491, 2581, 1033, 1032, 1033, 1012, 2037, 6635, 7337, 1997, 2895, 1998, 16480, 4244, 27833, 13845, 5144, 2024, 2025, 2124, 1010, 2021, 1010, 2138, 2037, 3252, 2003, 2714, 2000, 2008, 1997, 16480, 4244, 27833, 1010, 2027, 5566, 2005, 14017, 12083, 18622, 9276, 1999, 1996, 12328, 20434, 1998, 3568, 26402, 20014, 19126, 16326, 1997, 2119, 23444, 1998, 2203, 23924, 3560, 16480, 4244, 27833, 1032, 1031, 1031, 1030, 29491, 2620, 1033, 1032, 1033, 1012, 2027, 2024, 2556, 1999, 15415, 20631, 2004, 3180, 2833, 1010, 2348, 2027, 2024, 2036, 2800, 2004, 29167, 2015, 1999, 3056, 9440, 2107, 2004, 9388, 6843, 3170, 2030, 10930, 5603, 19585, 2000, 6855, 1037, 5423, 3593, 1011, 13845, 3466, 1032, 1031, 1031, 1030, 29491, 2683, 1033, 1032, 1033, 1012, 1996, 3180, 3679, 13822, 1997, 6887, 22123, 14122, 10624, 4877, 8483, 2013, 5018, 1011, 8698, 11460, 1012, 1037, 3679, 13004, 1997, 2012, 2560, 1015, 1012, 1019, 2000, 1017, 1043, 1013, 2154, 2038, 2042, 10174, 2004, 2108, 1996, 3815, 2734, 2000, 6162, 1037, 2184, 1011, 2321, 1003, 7312, 1999, 2659, 4304, 5423, 7361, 21709, 12377, 16480, 4244, 27833, 1006, 25510, 2140, 1011, 16480, 4244, 27833, 1007, 1012, 1996, 16480, 4244, 27833, 13845, 3466, 3544, 2000, 2504, 2125, 2012, 3020, 21656, 1998, 2053, 3278, 6666, 2024, 4663, 1032, 1031, 1031, 1030, 1038, 11387, 1033, 1032, 1033, 1012, 2195, 2913, 2031, 7645, 1037, 7312, 1999, 20194, 2561, 1011, 16480, 4244, 27833, 1998, 25510, 2140, 1011, 16480, 4244, 27833, 2007, 1996, 13822, 1997, 9440, 4820, 9761, 27896, 1998, 26261, 13153, 2015, 1032, 1031, 1031, 1030, 1038, 17465, 1033, 1011, 1031, 1030, 1038, 21926, 1033, 1032, 1033, 1012, 1996, 2224, 1997, 26261, 13153, 2015, 4117, 2007, 28093, 7076, 1032, 1031, 1031, 1030, 1038, 18827, 1033, 1032, 1033, 1998, 10882, 25258, 1032, 1031, 1031, 1030, 1038, 17788, 1033, 1032, 1033, 2038, 2019, 2794, 7461, 2006, 13845, 2668, 16480, 4244, 27833, 3798, 1012, 1996, 18731, 3466, 1997, 6420, 7242, 1006, 28093, 7076, 1010, 26261, 13153, 2015, 1998, 16480, 4244, 3723, 6444, 3170, 1007, 2006, 16480, 4244, 27833, 7312, 2038, 2036, 2042, 16330, 1032, 1031, 1031, 1030, 1038, 23833, 1033, 1032, 1033, 1012, 3568, 1010, 26261, 13153, 2015, 2064, 2036, 2022, 6179, 1999, 1996, 3905, 9740, 1997, 22935, 4295, 1010, 2029, 5942, 1037, 3618, 7312, 1999, 25510, 2140, 1011, 16480, 4244, 27833, 1012, 1037, 18804, 1011, 4106, 1997, 4601, 7012, 2007, 2367, 25202, 2833, 3688, 3662, 2008, 1996, 2087, 16755, 3085, 3679, 13822, 1997, 6887, 22123, 14122, 10624, 4877, 2003, 1016, 1043, 1998, 2008, 2023, 13004, 13416, 25510, 2140, 1011, 16480, 4244, 27833, 2011, 2184, 1003, 1032, 1031, 1031, 1030, 1038, 22907, 1033, 1032, 1033, 1012, 1037, 13004, 7790, 3433, 7189, 1997, 2039, 2000, 1037, 13004, 1997, 1016, 1043, 1997, 3269, 26261, 13153, 2030, 9761, 4747, 1037, 2154, 2007, 1037, 7312, 1999, 25510, 2140, 1011, 16480, 4244, 27833, 1997, 2321, 2000, 2322, 11460, 2038, 2036, 2042, 2988, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1032, 1033, 1012, 2174, 1010, 2053, 3466, 2006, 2152, 4304, 5423, 7361, 21709, 12377, 16480, 4244, 27833, 1006, 10751, 2140, 1011, 16480, 4244, 27833, 1007, 2030, 13012, 25643, 17119, 8621, 2001, 2179, 1012, 2367, 2913, 2031, 2042, 4146, 2006, 2023, 3395, 1010, 2348, 2200, 2261, 2024, 2146, 2744, 1998, 2007, 1037, 2312, 2193, 1997, 5022, 1012, 2273, 5332, 2243, 3802, 2632, 1012, 1032, 1031, 1031, 1030, 1038, 24594, 1033, 1032, 1033, 2864, 1037, 4758, 3979, 2007, 3438, 5022, 2040, 10202, 2659, 1011, 6638, 10930, 5603, 19585, 25202, 2007, 3269, 9761, 4747, 28517, 2869, 1998, 5159, 1037, 9885, 1999, 25510, 2140, 1011, 16480, 4244, 27833, 1997, 2105, 2403, 1003, 1010, 2348, 1996, 13004, 2001, 3020, 2084, 1017, 1043, 1997, 9761, 4747, 1012, 2714, 3463, 2020, 4663, 2007, 9388, 6843, 3170, 1999, 2178, 3979, 2007, 2069, 4090, 5022, 2005, 1018, 3134, 1032, 1031, 1031, 1030, 1038, 11387, 1033, 1032, 1033, 1010, 1999, 2029, 1037, 3679, 13004, 1997, 3155, 1016, 1043, 4359, 25510, 2140, 1011, 16480, 4244, 27833, 2011, 2260, 1003, 1997, 1996, 3988, 5300, 1012, 1999, 1037, 2936, 2744, 2817, 1032, 1031, 1031, 1030, 1038, 14142, 1033, 1032, 1033, 1010, 1999, 7965, 5739, 1998, 5022, 2007, 6904, 4328, 6632, 2140, 23760, 9905, 4244, 27833, 6679, 10092, 5845, 2007, 28093, 7076, 1998, 26261, 13153, 2015, 1010, 2009, 2001, 5159, 2008, 1996, 16480, 4244, 27833, 1011, 13845, 3466, 2001, 5224, 2005, 1016, 2706, 1012, 2060, 2913, 2031, 4340, 2008, 1996, 13822, 1997, 3269, 26261, 13153, 2015, 1999, 1996, 2846, 1997, 1015, 1012, 1019, 2000, 1016, 1012, 1019, 1043, 1013, 2154, 24950, 25510, 2140, 1011, 16480, 4244, 27833, 3798, 2011, 1022, 1012, 1019, 1011, 2184, 1003, 1032, 1031, 1031, 1030, 1038, 22907, 1033, 1032, 1033, 1012, 2174, 1010, 1996, 21150, 1997, 2047, 20219, 2015, 2000, 5335, 1996, 14017, 12083, 15148, 1997, 3269, 26261, 13153, 2015, 1998, 2037, 3896, 2006, 5423, 3593, 7312, 1010, 2004, 2092, 2004, 1996, 15502, 6075, 1997, 2037, 8381, 2802, 1996, 2154, 1010, 2038, 2025, 2664, 2042, 10847, 1012, 1996, 2034, 2913, 2006, 1996, 2895, 1997, 6887, 22123, 14122, 10624, 4877, 5393, 2008, 1999, 2344, 2000, 23569, 27605, 3366, 2037, 3466, 2027, 2323, 2022, 2579, 2362, 2007, 16480, 4244, 27833, 1011, 4820, 2833, 1032, 1031, 1031, 1030, 1038, 21486, 1033, 1032, 1033, 1012, 1999, 1996, 2095, 2456, 1037, 2817, 7645, 2008, 1016, 1012, 1019, 1043, 1997, 3269, 9761, 27896, 2579, 2320, 1037, 2154, 2001, 2074, 2004, 1041, 26989, 3540, 18436, 2004, 1996, 2168, 3679, 3815, 4055, 2058, 1017, 12278, 1032, 1031, 1031, 1030, 1038, 16703, 1033, 1032, 1033, 1012, 1996, 3037, 1999, 4531, 2047, 1010, 4621, 9942, 2000, 2896, 16480, 4244, 27833, 1998, 1996, 3350, 2445, 2682, 2038, 2419, 2195, 11422, 2000, 2421, 1996, 8381, 1997, 2122, 3688, 1999, 2037, 3706, 3949, 1997, 23760, 9905, 4244, 27833, 6679, 10092, 1012, 1996, 23444, 11433, 1997, 1996, 3915, 2120, 16480, 4244, 27833, 2495, 4746, 1032, 1031, 1031, 1030, 1038, 22394, 1033, 1010, 1031, 1030, 1038, 22022, 1033, 1032, 1033, 2421, 1996, 8381, 1997, 1016, 1011, 1017, 1043, 1013, 2154, 1997, 6887, 22123, 28696, 3630, 4877, 1012, 2036, 1996, 2137, 2540, 2523, 1006, 6289, 2050, 1007, 1032, 1031, 1031, 1030, 1038, 19481, 1033, 1032, 1033, 26021, 9440, 4820, 9761, 4747, 28517, 2869, 2005, 4639, 5022, 2040, 2342, 2000, 2896, 2037, 25510, 2140, 1011, 16480, 4244, 27833, 3798, 1010, 2119, 1999, 3078, 1998, 3905, 9740, 1012, 1996, 6289, 2050, 10592, 9761, 27896, 2004, 1037, 2204, 17261, 5724, 1010, 1999, 2804, 2000, 8738, 1998, 9580, 3431, 1010, 2005, 3633, 2007, 2152, 25510, 2140, 1011, 16480, 4244, 27833, 3798, 1032, 1031, 1031, 1030, 1038, 21619, 1033, 1032, 1033, 1012, 2023, 2523, 26021, 1037, 3679, 13822, 1997, 1016, 1043, 1997, 26261, 13153, 2015, 1012, 2195, 2913, 2391, 2008, 2045, 2024, 2053, 3278, 2217, 3896, 2007, 1996, 13822, 1997, 26261, 13153, 2015, 1998, 9761, 27896, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1010, 1031, 1030, 1038, 24434, 1033, 1010, 1031, 1030, 1038, 22025, 1033, 1032, 1033, 1012, 2174, 1010, 2009, 2003, 6749, 2008, 1996, 3679, 6887, 22123, 14122, 10624, 2140, 13822, 2323, 2025, 13467, 1022, 1012, 1020, 1043, 1013, 1040, 1010, 2004, 2045, 2003, 1037, 3768, 1997, 2592, 2006, 1996, 3896, 1997, 3020, 13822, 3798, 1032, 1031, 1031, 1030, 1038, 23499, 1033, 1032, 1033, 1012, 6887, 22123, 14122, 10624, 4877, 2024, 3568, 2641, 3647, 1998, 4621, 2005, 2224, 2004, 8360, 2833, 12760, 1032, 1031, 1031, 1030, 1038, 12740, 1033, 1010, 1031, 1030, 1038, 23632, 1033, 1032, 1033, 1012, 2006, 1996, 2060, 2192, 1010, 2070, 2913, 2031, 2649, 3431, 1999, 12123, 3424, 1011, 23060, 8524, 3372, 14061, 1032, 1031, 1031, 1030, 1038, 16703, 1033, 1010, 1031, 1030, 1038, 20958, 1033, 1032, 1033, 1998, 1037, 2896, 16326, 1997, 8247, 2482, 12184, 5267, 3378, 2000, 1996, 8381, 1997, 6887, 22123, 14122, 10624, 4877, 2038, 2042, 2988, 1032, 1031, 1031, 1030, 1038, 23777, 1033, 1032, 1033, 1010, 2348, 1996, 16012, 12462, 11733, 8553, 1997, 5423, 19137, 27959, 2571, 17663, 2015, 1037, 1010, 1040, 1998, 1041, 2106, 2025, 3711, 2000, 2022, 6022, 2904, 1012, 2000, 7163, 28732, 1996, 2825, 9885, 1999, 12123, 2482, 12184, 2638, 3798, 3378, 2000, 1996, 8381, 1997, 26261, 13153, 2015, 2030, 9761, 27896, 1010, 1996, 3679, 8738, 2323, 2421, 11546, 1998, 10962, 1032, 1031, 1031, 1030, 1038, 22932, 1033, 1032, 1033, 1012, 1996, 2825, 13494, 2005, 2740, 2024, 2641, 2000, 2022, 10124, 1998, 15316, 3463, 2024, 2025, 3517, 1032, 1031, 1031, 1030, 1038, 16703, 1033, 1032, 1033, 1012, 2174, 1010, 1037, 4603, 7729, 2003, 16755, 3085, 2043, 3653, 11020, 3089, 10472, 2005, 6875, 2308, 1010, 7388, 1011, 8521, 16725, 1998, 2235, 2336, 1012, 1999, 1996, 2647, 2586, 1010, 1996, 4045, 2837, 2006, 2833, 2038, 19256, 1996, 5821, 1997, 6887, 22123, 14122, 10624, 2140, 1011, 25202, 9388, 6843, 10586, 1010, 6195, 2037, 2224, 2012, 3798, 1997, 2039, 2000, 1022, 1003, 1997, 2489, 6887, 22123, 14122, 10624, 4877, 1010, 5662, 2000, 2403, 1003, 1997, 28517, 22618, 6887, 22123, 14122, 10624, 2140, 1010, 2566, 2531, 1043, 1997, 9388, 6843, 3170, 2003, 3647, 2005, 2529, 2224, 1032, 1031, 1031, 1030, 1038, 19961, 1033, 1032, 1033, 1012, 2348, 2045, 2024, 2070, 2951, 2006, 1996, 2825, 2012, 5886, 24278, 3466, 1997, 1996, 6887, 22123, 14122, 10624, 4877, 1032, 1031, 1031, 1030, 1038, 21472, 1033, 1010, 1031, 1030, 1038, 22610, 1033 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 13921, 1024, 24568, 8299, 1024, 1013, 1013, 13866, 17299, 1012, 17917, 2078, 1012, 3120, 29278, 3351, 1012, 5658, 1013, 13866, 17299, 1013, 1029, 7065, 1027, 24568, 1004, 3193, 1027, 7065, 3166, 1024, 10166, 27966, 12069, 2243, 3058, 1024, 2262, 1011, 5718, 1011, 2324, 2385, 1024, 2340, 1024, 2753, 1009, 2199, 2692, 1006, 21981, 1010, 2324, 21650, 2262, 1007, 8833, 4471, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2794, 8285, 8525, 2638, 1006, 1005, 1037, 1005, 1007, 2000, 1996, 2393, 6434, 1011, 1037, 2347, 1005, 1056, 2108, 3236, 2011, 4638, 1035, 22752, 1012, 14021, 6310, 10425, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 8260, 1013, 5034, 2278, 1013, 2139, 2361, 1013, 22752, 1012, 1039, 6310, 1024, 8260, 1013, 5034, 2278, 1013, 2139, 2361, 1013, 22752, 1012, 1039, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1011, 1011, 1011, 8260, 1013, 5034, 2278, 1013, 2139, 2361, 1013, 22752, 1012, 1039, 2262, 1011, 5718, 1011, 2410, 2570, 1024, 3590, 1024, 5139, 11396, 1006, 7065, 23380, 1007, 1009, 1009, 1009, 8260, 1013, 5034, 2278, 1013, 2139, 2361, 1013, 22752, 1012, 1039, 2262, 1011, 5718, 1011, 2324, 2385, 1024, 2340, 1024, 2753, 11396, 1006, 7065, 24568, 1007, 1030, 1030, 1011, 5354, 2475, 1010, 1020, 1009, 5354, 2475, 1010, 1021, 1030, 1030, 1000, 1011, 1051, 2193, 2079, 2025, 25141, 1996, 5119, 2065, 16396, 2003, 2062, 2084, 2193, 28991, 3366, 8663, 5104, 1032, 1050, 1000, 1000, 1011, 1056, 2079, 2025, 2191, 2151, 3431, 2000, 1996, 2291, 5119, 1032, 1050, 1000, 1009, 1000, 1011, 1037, 2193, 9585, 8285, 8525, 2638, 2007, 15105, 14771, 11207, 1997, 2193, 1032, 1050, 1000, 1000, 1011, 1049, 2193, 2079, 2025, 5138, 8536, 5300, 1997, 2062, 2084, 2193, 28991, 3366, 8663, 5104, 1032, 1050, 1000, 1000, 1011, 1037, 2184, 1010, 6694, 20648, 5119, 14262, 6767, 14267, 1998, 9897, 2012, 6528, 14505, 2015, 1032, 1050, 1000, 1000, 1011, 1059, 2193, 20648, 2028, 2126, 8536, 11307, 10551, 2791, 1032, 1050, 1000, 2023, 2001, 2741, 2011, 1996, 3120, 29278, 3351, 1012, 5658, 12317, 2458, 4132, 1010, 1996, 2088, 1005, 1055, 2922, 2330, 3120, 2458, 2609, 1012, 13921, 1024, 23380, 8299, 1024, 1013, 1013, 13866, 17299, 1012, 17917, 2078, 1012, 3120, 29278, 3351, 1012, 5658, 1013, 13866, 17299, 1013, 1029, 7065, 1027, 23380, 1004, 3193, 1027, 7065, 3166, 1024, 21269, 19658, 13535, 2480, 3058, 1024, 2262, 1011, 5718, 1011, 2410, 2570, 1024, 3590, 1024, 5139, 1009, 2199, 2692, 1006, 10424, 2072, 1010, 2410, 21650, 2262, 1007, 8833, 4471, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3642, 9344, 6310, 10425, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 14932, 24805, 20511, 7834, 3736, 3351, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 14932, 24805, 20511, 7834, 3736, 3351, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2191, 8873, 2571, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 15418, 21246, 28745, 20464, 11638, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 15418, 21246, 28745, 20464, 11638, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 23569, 8569, 12494, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 23569, 8569, 12494, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 22011, 24805, 20511, 7834, 3736, 3351, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 22011, 24805, 20511, 7834, 3736, 3351, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 5377, 2015, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 5377, 2015, 1035, 2139, 2361, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2951, 13874, 2015, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2951, 13874, 2015, 1035, 2139, 2361, 1012, 1044, 2794, 10425, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2079, 18037, 8873, 2571, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 7396, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 7396, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 4653, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 4653, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2393, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2393, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2897, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2897, 1012, 1044, 3718, 10425, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 7396, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 7396, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 4653, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 4653, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2393, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2393, 1012, 1044, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2897, 1012, 18133, 2361, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 2897, 1012, 1044, 17159, 1024, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 7396, 1012, 18133, 2361, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1011, 1011, 1011, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 7396, 1012, 18133, 2361, 2262, 1011, 5718, 1011, 2410, 4002, 1024, 5890, 1024, 2184, 11396, 1006, 7065, 22376, 1007, 1009, 1009, 1009, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013, 15418, 21246, 28745, 20464, 11638, 1013, 7396, 1012, 18133, 2361, 2262, 1011, 5718, 1011, 2410, 2570, 1024, 3590, 1024, 5139, 11396, 1006, 7065, 23380, 1007, 1030, 1030, 1011, 1015, 1010, 6391, 1009, 1014, 1010, 1014, 1030, 1030, 1011, 1013, 1008, 1008, 1011, 1008, 1030, 5371, 7396, 1012, 18133, 2361, 1011, 1008, 1030, 3166, 12675, 2480, 12555, 11624, 4328, 11927, 1011, 1008, 1011, 1008, 1030, 4766, 7396, 2465, 7375, 1012, 1011, 1008, 1011, 1008, 2023, 2465, 2097, 2022, 2109, 2004, 1037, 25238, 2005, 2035, 1997, 1996, 8360, 6447, 2008, 1011, 1008, 1996, 4646, 2003, 4011, 2000, 8116, 1012, 1011, 1008, 1013, 1011, 1011, 1001, 2421, 1026, 2358, 20617, 1012, 1044, 1028, 1011, 1001, 2421, 1026, 2358, 19422, 12322, 1012, 1044, 1028, 1011, 1001, 2421, 1026, 5164, 1012, 1044, 1028, 1011, 1011, 1001, 2421, 1000, 7396, 1012, 1044, 1000, 1011, 1001, 2421, 1000, 2393, 1012, 1044, 1000, 1011, 1001, 2421, 1000, 2897, 1012, 1044, 1000, 1011, 1001, 2421, 1000, 14932, 24805, 20511, 7834, 3736, 3351, 1012, 1044, 1000, 1011, 1001, 2421, 1000, 22011, 24805, 20511, 7834, 3736, 3351, 1012, 1044, 1000, 1011, 1011, 1001, 2421, 1000, 5377, 2015, 1012, 1044, 1000, 1011, 1001, 2421, 1000, 2951, 13874, 2015, 1035, 2139, 2361, 1012, 1044, 1000, 1011, 1011, 1001, 2421, 1026, 4895, 2923, 2094, 1012, 1044, 1028, 1011, 1013, 1008, 1008, 1011, 1008, 2023, 4118, 2097, 2022, 2109, 2000, 8116, 2035, 1997, 1996, 7303, 4506, 2000, 1996, 1011, 1008, 5310, 1012, 1011, 1008, 1011, 1008, 1030, 11498, 2213, 23569, 8569, 2546, 1037, 17698, 2007, 9918, 2979, 2013, 1996, 5310, 1012, 1011, 1008, 1013, 1011, 11675, 2364, 20464, 11638, 1006, 23569, 8569, 12494, 1008, 23569, 8569, 2546, 1007, 1063, 1011, 20014, 28407, 2546, 2094, 1025, 1011, 28407, 7770, 1035, 1056, 2013, 7770, 1025, 1011, 2358, 6820, 6593, 5587, 6657, 14876, 1008, 4895, 5555, 16917, 16200, 4757, 1025, 1011, 2358, 6820, 6593, 28407, 4215, 13626, 1035, 5527, 2013, 4215, 13626, 1025, 1011, 1011, 2065, 1006, 23569, 8569, 2546, 1011, 1028, 2393, 1035, 6140, 1007, 1063, 1011, 6140, 16001, 2361, 1006, 23569, 8569, 2546, 1011, 1028, 2393, 1035, 12098, 2290, 1007, 1025, 1011, 2709, 1025, 1011, 1065, 1011, 1011, 2065, 1006, 23569, 8569, 2546, 1011, 1028, 5796, 2290, 1035, 6140, 1007, 1063, 1011, 6140, 24798, 20492, 5244, 5620, 9863, 1006, 1007, 1025, 1011, 2709, 1025, 1011, 1065, 1011, 1011, 2065, 1006, 999, 23569, 8569, 2546, 1011, 1028, 8278, 1035, 2275, 1007, 1063, 1011, 6140, 2546, 1006, 1000, 7561, 1024, 8278, 2171, 2025, 4225, 1032, 1050, 1000, 1007, 1025, 1011, 6164, 1006, 1015, 1007, 1025, 1011, 1065, 1011, 1011, 2065, 1006, 999, 23569, 8569, 2546, 1011, 1028, 15418, 2102, 1035, 8909, 1035, 2275, 1007, 1063, 1011, 6140, 2546, 1006, 1000, 7561, 1024, 2968, 19646, 2615, 2025, 4225, 1032, 1050, 1000, 1007, 1025, 1011, 6164, 1006, 1015, 1007, 1025, 1011, 1065, 1011, 1011, 2065, 1006, 999, 23569, 8569, 2546, 1011, 1028, 2895, 1035, 2828, 1035, 2275, 1007, 1063, 1011, 6140, 2546, 1006, 1000, 7561, 1024, 2895, 13874, 2025, 4225, 1032, 1050, 1000, 1007, 1025, 1011, 6164, 1006, 1015, 1007, 1025, 1011, 1065, 1011, 1011, 28407, 2546, 2094, 1027, 1999, 4183, 7159, 6198, 1006, 23569, 8569, 2546, 1011, 1028, 1057, 1035, 4769, 1010, 23569, 8569, 2546, 1011, 1028, 1057, 1035, 3417, 1010, 23569, 8569, 2546, 1011, 1028, 8278, 1010, 1004, 4895, 5555, 16917, 16200, 4757, 1007, 1025, 1011, 1011, 1013, 1008, 4604, 1026, 1011, 1011, 1028, 4374, 1008, 1013, 1011, 13323, 3388, 1008, 20934, 2546, 1027, 1006, 13323, 3388, 1008, 1007, 1006, 6670, 10085, 1006, 14771, 1035, 2946, 1007, 1007, 1025, 1011, 1011, 22011, 24805, 20511, 7834, 3736, 3351, 1008, 2041, 7834, 3736, 3351, 1027, 2047, 22011, 24805, 20511, 7834, 3736, 3351, 1006, 20934, 2546, 1010, 23569, 8569, 2546, 1007, 1025, 1011, 2489, 1006, 2041, 7834, 3736, 3351, 1007, 1025, 1011, 1011, 4604, 7834, 3736, 3351, 1006, 28407, 2546, 2094, 1010, 20934, 2546, 1010, 14771, 1035, 2946, 1010, 4895, 5555, 16917, 16200, 4757, 1007, 1025, 1011, 1011, 2033, 5244, 3388, 1006, 20934, 2546, 1010, 1014, 1010, 14771, 1035, 2946, 1007, 1025, 1011, 1011, 4374, 7834, 3736, 3351, 1006, 28407, 2546, 2094, 1010, 20934, 2546, 1010, 14771, 1035, 2946, 1010, 1004, 2013, 4215, 13626, 1010, 1004, 2013, 7770, 1007, 1025, 1011, 1011, 14932, 24805, 20511, 7834, 3736, 3351, 1008, 1999, 7834, 3736, 3351, 1027, 2047, 14932, 24805, 20511, 7834, 3736, 3351, 1006, 20934, 2546, 1010, 23569, 8569, 2546, 1007, 1025, 1011, 2489, 1006, 1999, 7834, 3736, 3351, 1007, 1025, 1011, 1011, 2489, 1006, 20934, 2546, 1007, 1025, 1011, 1011, 4487, 19150, 7159, 6198, 1006, 28407, 2546, 2094, 1010, 1004, 4895, 5555, 16917, 16200, 4757, 1007, 1025, 1011, 1011, 2709, 1025, 1011, 1065, 1032, 2053, 2047, 4179, 2012, 2203, 1997, 5371, 17159, 1024, 5628, 1013, 12675, 2480, 1011, 2262, 1013, 5906, 1013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3058, 1024, 16215, 2226, 1010, 6021, 5553, 2526, 2322, 1024, 4413, 1024, 2385, 1011, 5757, 8889, 2013, 1024, 4918, 12838, 3395, 1024, 24978, 6038, 2278, 12763, 3127, 1018, 5860, 19771, 5017, 1024, 7592, 7955, 1010, 2034, 2125, 1010, 2023, 2466, 2003, 2183, 2000, 2022, 2055, 7411, 6550, 1010, 2025, 11850, 2055, 3348, 1010, 2021, 2045, 2097, 2145, 2022, 11340, 1012, 1045, 2442, 2174, 2110, 2008, 1045, 2079, 2025, 2113, 10334, 1005, 1055, 4424, 18394, 1999, 4507, 1010, 2174, 1010, 1999, 2023, 2210, 4349, 2088, 1997, 3067, 1010, 2027, 2024, 2054, 1045, 5454, 2068, 2000, 2022, 1012, 2320, 2153, 1010, 1996, 1000, 4241, 2232, 5387, 1000, 1024, 2065, 2017, 2024, 2025, 2214, 2438, 2000, 3193, 2023, 3430, 1010, 2175, 2185, 1012, 2065, 15667, 3430, 2125, 10497, 2015, 2017, 1010, 2339, 2024, 2017, 2182, 1029, 2569, 2084, 2595, 1024, 10934, 999, 2017, 2024, 2026, 2364, 7780, 999, 2036, 1010, 1037, 2569, 2084, 2595, 2000, 4074, 1010, 2508, 1010, 5261, 1010, 1998, 3782, 1012, 4283, 2005, 1996, 14354, 999, 14764, 1024, 9993, 1005, 1055, 4301, 2024, 1999, 3618, 2084, 1010, 2625, 2084, 12563, 1026, 1028, 1998, 9558, 1005, 1055, 2024, 1999, 3180, 19719, 1031, 1033, 1012, 2084, 2595, 1998, 5959, 999, 1999, 1996, 3025, 3127, 1024, 1996, 4364, 1997, 1050, 1005, 26351, 4875, 2091, 2000, 4684, 1010, 6041, 1012, 9993, 2003, 2145, 1999, 5213, 1998, 2061, 2024, 1996, 2060, 4364, 1012, 9993, 12237, 2012, 1996, 2902, 2008, 2305, 2007, 2010, 2905, 2096, 1996, 2060, 4364, 1998, 29168, 2175, 2000, 1996, 3309, 1012, 29175, 19480, 2968, 2000, 3046, 2000, 2131, 1037, 2907, 1997, 18667, 2497, 1005, 1055, 2968, 1998, 3198, 4901, 2000, 2831, 2000, 9993, 1010, 6195, 2002, 2439, 2010, 2269, 1012, 18566, 17507, 2039, 1999, 1996, 2690, 1997, 1996, 2305, 1998, 9993, 2038, 2000, 2425, 2014, 1996, 2739, 1010, 1998, 2085, 1045, 1005, 1049, 2183, 2000, 24095, 3805, 1037, 2733, 2030, 2061, 2044, 2010, 3008, 1005, 6715, 1012, 3127, 2176, 2968, 2018, 8357, 2009, 4072, 2000, 17542, 2673, 2005, 2012, 2560, 2093, 2706, 1012, 6195, 2035, 2027, 2018, 2001, 2070, 10319, 3922, 1010, 2009, 2347, 1005, 1056, 2008, 2524, 2000, 6133, 1012, 2027, 2359, 2000, 2507, 9993, 1998, 1996, 2717, 1997, 1996, 6080, 2051, 2000, 8980, 2013, 2037, 3279, 1012, 2044, 2035, 1010, 2027, 2020, 2066, 3008, 2000, 2068, 2205, 1012, 1996, 4364, 2031, 2513, 2000, 10108, 1010, 1998, 18566, 2007, 9993, 1012, 9993, 7278, 2008, 2016, 2272, 2994, 2007, 2032, 2127, 2016, 4152, 2488, 1998, 2064, 2079, 4933, 2006, 2014, 2219, 1012, 9993, 2001, 1999, 1996, 2832, 1997, 12447, 2039, 2023, 2028, 5095, 2851, 2043, 2002, 2657, 1996, 25422, 3614, 1012, 1997, 2607, 1010, 1996, 25422, 8369, 1037, 2117, 2051, 1998, 9993, 2318, 2000, 2131, 2041, 1997, 2793, 1012, 2002, 2404, 2006, 2010, 2665, 11111, 1998, 2318, 2646, 1996, 2392, 2341, 1012, 2002, 2441, 1996, 2341, 1998, 2001, 7135, 2000, 2156, 4901, 9482, 1997, 1996, 10457, 13334, 2102, 3337, 3061, 2045, 1012, 1000, 1045, 2134, 1005, 1056, 5256, 2017, 1010, 2106, 1045, 1029, 1000, 4901, 2356, 1010, 2559, 2012, 9993, 2040, 2001, 2145, 24665, 8649, 6292, 1012, 1000, 2054, 1029, 2821, 1010, 2092, 1010, 3398, 2017, 2785, 1997, 2106, 1010, 2021, 1045, 2734, 2000, 2131, 2039, 4312, 2015, 1012, 2272, 2006, 1999, 1012, 1000, 1000, 4283, 1010, 2017, 2031, 2053, 2801, 2129, 2524, 2009, 2001, 2005, 2033, 2000, 2131, 2039, 2023, 2851, 1010, 2021, 2144, 2009, 2001, 1037, 3167, 5684, 2000, 8307, 1010, 1045, 2371, 2066, 1045, 2734, 2000, 2131, 2182, 2006, 2051, 1012, 1000, 1000, 3167, 5684, 1029, 1000, 9993, 2356, 1010, 4367, 2075, 2005, 4901, 2000, 2031, 1037, 2835, 1999, 1996, 2542, 2282, 1012, 1000, 2002, 2134, 1005, 1056, 2425, 2017, 1029, 2008, 1005, 1055, 2074, 2066, 2032, 1010, 29175, 2356, 2033, 2000, 2272, 2031, 1037, 11834, 2007, 2017, 1012, 1000, 1000, 2821, 1010, 2002, 2106, 1029, 2054, 2055, 1029, 1000, 9993, 2356, 1010, 2652, 12873, 1998, 2635, 1037, 2835, 4500, 4901, 1012, 1000, 2123, 1005, 1056, 2377, 12873, 1010, 2017, 2113, 2008, 2002, 2003, 5191, 2055, 2017, 1010, 2027, 2035, 2024, 1012, 1000, 1000, 1045, 1005, 1049, 2986, 1010, 1045, 1005, 2310, 2409, 2068, 2008, 1037, 2454, 2335, 2144, 2009, 3047, 1012, 1000, 1000, 2024, 2017, 1029, 1000, 4901, 2356, 1010, 2559, 3495, 2012, 9993, 1012, 9993, 2246, 2157, 2067, 2012, 4901, 1998, 2387, 2008, 2002, 2001, 2108, 3809, 1010, 9993, 2071, 2425, 2008, 4901, 2359, 2000, 2393, 1012, 9993, 2245, 2055, 2009, 1037, 2117, 1010, 2059, 2506, 1012, 1000, 1045, 1012, 1012, 1012, 1045, 9826, 2123, 1005, 1056, 2113, 4902, 1012, 1012, 1012, 1000, 1000, 3599, 2054, 1045, 2056, 2043, 1045, 2001, 2356, 2008, 3160, 1012, 1000, 1000, 9616, 1029, 1000, 1000, 2026, 3611, 2979, 2185, 2013, 4456, 1998, 1045, 2001, 14777, 2005, 1037, 2096, 1010, 2127, 1038, 1011, 20996, 2243, 2318, 4851, 3980, 1998, 1045, 2633, 3651, 2008, 1045, 2134, 1005, 1056, 2342, 2000, 2377, 2720, 1012, 7823, 3124, 4902, 1998, 2008, 2026, 2814, 2020, 2045, 2000, 7216, 2033, 1998, 2022, 2045, 2005, 2033, 1012, 1000, 1000, 1045, 1005, 1049, 3374, 2008, 2017, 2439, 2115, 3611, 2066, 2008, 1010, 2021, 1012, 1012, 1012, 2026, 3663, 2003, 3294, 2367, 1012, 1000, 1000, 2054, 2079, 2017, 2812, 1029, 1000, 1000, 1045, 1005, 1049, 2025, 2667, 2000, 2377, 2720, 1012, 7823, 3124, 1010, 2009, 2987, 1005, 1056, 2202, 2172, 2005, 2033, 2000, 3338, 2091, 1010, 1998, 1045, 1005, 1049, 2893, 2058, 1996, 2755, 1997, 2542, 2302, 2026, 3008, 1010, 2049, 2025, 1996, 2755, 2008, 2027, 1005, 2128, 1012, 1012, 1012, 2027, 1005, 2128, 2757, 1010, 2049, 2074, 1012, 1012, 1012, 1000, 9993, 2292, 1996, 6251, 2272, 2000, 2019, 2203, 1012, 1000, 2074, 2054, 1029, 1000, 1000, 2049, 3167, 1012, 1000, 1000, 2017, 2180, 1005, 1056, 2514, 2488, 2127, 2017, 2831, 2055, 2009, 1010, 1045, 2113, 2008, 2005, 2469, 1012, 1000, 1000, 1045, 2113, 1010, 2021, 1045, 2064, 1005, 1056, 2074, 14819, 2102, 2009, 2041, 2066, 2008, 1010, 1045, 2812, 1010, 1045, 2123, 1005, 1056, 2215, 2000, 10083, 1996, 4364, 1012, 1000, 1000, 10083, 1996, 4364, 1029, 1000, 4901, 2435, 2009, 2070, 2245, 2005, 1037, 2261, 5312, 1998, 2059, 2318, 2153, 1010, 1000, 1045, 2228, 1045, 2113, 2073, 2023, 2003, 3753, 1012, 1000, 1000, 2129, 2071, 2017, 1029, 1000, 1000, 2057, 2018, 1996, 2168, 3663, 1999, 2256, 2177, 1012, 2009, 2165, 19128, 1037, 2096, 2000, 6449, 2009, 1010, 2021, 1045, 2001, 2633, 2583, 2000, 2131, 2032, 2000, 18766, 1998, 2009, 2081, 2032, 2514, 2061, 2172, 2488, 5728, 1012, 1000, 1000, 18766, 1029, 1000, 9993, 2356, 1010, 2002, 2354, 2054, 2001, 2746, 2279, 1012, 1000, 9993, 1010, 2024, 2017, 12170, 1029, 1000, 9993, 1010, 1037, 2210, 9696, 2011, 1996, 3160, 2165, 1037, 2261, 2781, 2000, 6869, 1012, 1000, 2025, 3599, 1010, 2023, 2003, 1037, 2028, 2126, 2395, 1998, 2009, 3632, 1996, 4500, 2126, 1012, 1000, 9993, 3202, 18991, 2478, 2008, 23323, 2138, 2002, 2371, 2066, 2019, 10041, 5728, 1012, 1000, 2017, 1005, 2128, 5637, 1029, 1000, 1000, 3398, 1012, 1012, 1012, 1000, 9993, 3880, 1998, 2059, 2002, 2787, 2009, 2001, 2051, 2005, 1037, 2210, 2743, 2102, 1998, 23289, 1012, 1000, 1045, 2123, 1005, 1056, 2113, 2129, 2000, 3338, 2009, 2000, 1996, 4364, 1010, 1045, 1005, 2310, 2069, 2409, 9558, 1998, 1045, 2113, 2008, 2065, 2009, 2001, 2000, 2131, 2041, 1010, 2009, 2052, 10083, 1050, 26351, 1998, 2035, 1997, 2068, 2031, 2499, 2205, 2524, 2005, 2033, 2000, 11224, 2009, 2039, 2005, 2068, 1012, 1000, 4901, 1010, 3110, 2008, 2008, 2347, 1005, 1056, 1996, 2613, 3114, 2005, 9993, 1005, 1055, 5248, 1010, 1000, 2045, 1005, 1055, 2242, 2062, 2295, 1010, 2017, 2113, 2008, 1996, 4364, 2052, 5138, 2017, 2005, 2040, 2017, 2024, 1998, 2009, 3475, 1005, 1056, 2205, 2524, 2000, 2562, 3056, 2477, 2013, 1996, 2811, 1010, 2054, 2003, 2009, 1029, 1000, 1000, 2027, 2351, 1012, 1012, 1012, 1998, 1045, 2481, 1005, 1056, 2425, 2068, 1012, 1045, 2134, 1005, 1056, 2425, 2068, 1010, 1045, 2001, 4452, 2008, 2027, 2052, 18454, 2078, 2033, 1998, 1012, 1012, 1012, 2784, 2091, 1045, 2354, 2027, 2876, 1005, 1056, 1010, 2021, 2009, 2001, 1996, 3571, 1997, 2009, 2035, 1998, 2059, 2027, 2175, 1998, 2131, 1999, 2023, 9202, 4926, 1012, 1012, 1012, 1000, 4901, 2288, 2039, 3202, 1998, 4625, 2000, 2073, 9993, 2001, 1998, 2938, 2091, 2279, 2000, 2032, 1010, 4815, 2032, 2046, 1037, 8549, 1012, 9993, 2513, 1996, 8549, 1998, 9550, 2041, 2054, 2001, 1996, 2927, 1997, 4000, 1012, 1000, 2009, 1005, 2222, 2022, 10303, 9993, 1010, 2017, 2428, 2323, 2831, 2000, 1996, 2717, 1997, 1996, 4364, 1998, 2292, 2068, 2113, 2129, 2017, 2514, 1010, 2157, 2085, 1010, 2027, 2024, 2115, 2155, 1998, 2017, 2342, 2000, 2425, 2068, 2061, 2027, 2064, 2393, 2017, 1012, 1000, 1000, 4283, 4901, 1012, 1012, 1012, 1045, 1012, 1012, 1012, 1045, 2428, 9120, 2023, 1000, 2210, 11834, 1000, 2057, 2018, 1012, 1000, 4901, 4191, 1010, 1000, 2053, 3291, 1012, 1000, 9993, 1010, 3110, 1037, 2210, 2978, 24282, 2044, 2010, 27719, 1010, 15583, 4901, 2153, 1010, 2435, 2032, 1037, 8549, 1998, 2409, 2032, 2002, 1005, 1040, 2655, 1996, 4364, 2157, 2185, 1012, 2044, 4760, 4901, 2041, 1010, 2002, 2170, 9558, 1012, 1000, 1057, 5603, 1012, 1012, 1012, 7592, 1029, 1000, 9993, 1010, 10397, 2008, 2009, 2001, 2145, 2077, 11501, 2006, 1037, 5095, 1010, 10678, 2370, 8601, 1010, 1998, 2059, 2002, 2318, 3331, 1012, 1000, 9558, 1010, 2049, 2033, 1010, 9993, 1012, 1000, 9558, 3202, 3662, 5751, 1997, 5256, 20938, 1012, 1000, 9993, 1029, 2821, 1010, 2054, 1005, 1055, 2039, 1029, 1000, 1000, 1045, 2001, 6603, 2065, 2017, 2071, 2131, 1037, 2907, 1997, 1996, 4364, 1998, 3198, 2068, 2000, 2272, 2058, 2105, 11501, 1010, 1045, 1005, 1049, 2183, 2000, 2425, 2068, 1012, 1000, 1000, 2469, 2158, 1010, 2053, 4013, 2497, 1010, 1045, 1005, 2222, 2131, 1037, 2907, 1997, 7955, 1998, 2156, 2017, 2105, 11501, 1010, 10303, 1029, 1000, 1000, 4283, 9558, 1010, 2156, 8038, 2059, 1012, 1000, 9993, 2059, 4622, 2010, 2905, 1998, 3202, 2743, 2039, 2000, 2014, 2282, 1012, 2016, 2001, 2074, 12447, 2039, 2043, 9993, 2939, 1999, 1012, 1000, 2204, 2851, 17056, 2132, 1012, 1000, 1000, 2204, 2851, 9993, 1010, 1057, 5603, 1010, 2054, 2051, 2003, 2009, 1029, 1000, 1000, 2009, 1005, 1055, 2055, 2702, 4228, 1012, 2017, 7501, 1029, 1000, 1000, 2025, 2428, 1010, 2003, 2045, 2505, 2017, 2359, 2000, 14089, 4842, 2033, 2055, 2651, 1029, 1000, 1037, 9374, 1997, 20954, 2104, 16992, 2014, 2376, 1012, 1000, 5292, 3270, 1010, 2200, 6057, 18566, 1012, 2025, 2428, 2941, 1012, 1012, 1012, 2021, 2045, 1005, 1055, 2242, 1045, 2734, 2000, 2425, 2017, 1012, 1000, 1000, 3100, 1010, 1045, 1005, 1049, 2035, 5551, 1010, 2054, 2003, 2009, 1029, 1000, 9993, 4625, 2058, 2000, 18566, 1005, 1055, 2793, 1998, 2938, 2091, 2279, 2000, 2014, 1012, 2016, 2938, 2039, 1998, 2001, 2559, 2012, 2032, 2043, 2002, 2165, 1037, 2784, 3052, 1012, 1000, 2009, 1005, 1055, 2579, 2033, 1037, 2096, 2000, 5382, 1996, 2126, 1045, 2514, 2055, 1012, 1012, 1012, 6550, 1998, 1045, 2359, 2000, 2425, 2017, 2077, 1045, 2425, 1996, 4364, 1012, 1000, 1000, 2017, 1005, 2128, 1037, 2210, 2397, 2006, 2008, 3462, 22953, 1010, 1045, 2525, 2113, 2008, 2017, 1005, 2128, 5637, 1012, 1000, 1000, 2054, 1029, 999, 2129, 1005, 1040, 2017, 2113, 1029, 1000, 9993, 2471, 5598, 2125, 1996, 2793, 1999, 5213, 1012, 1000, 1045, 2572, 2115, 2905, 2044, 2035, 1010, 2025, 2000, 5254, 2045, 2020, 2210, 5751, 2008, 1045, 3856, 2039, 2006, 2182, 1998, 2045, 1012, 1000, 2016, 3281, 2012, 2032, 1012, 1000, 1045, 1005, 1049, 3100, 2007, 2009, 9993, 1010, 3649, 3084, 2017, 3407, 3084, 2033, 3407, 1012, 1000, 9993, 1010, 12422, 1997, 2054, 2000, 2079, 1010, 10308, 2010, 2905, 1998, 15583, 2014, 1037, 2454, 2335, 2005, 2635, 2009, 2061, 2092, 1012, 2059, 1037, 3160, 10538, 2046, 2010, 2132, 1012, 1000, 2106, 1012, 1012, 1012, 2106, 3566, 1998, 3611, 2113, 1029, 1000, 1000, 2027, 6878, 2004, 2172, 1010, 2027, 3866, 2017, 9993, 1012, 2027, 2020, 3407, 2004, 2146, 2004, 2017, 2020, 3407, 1012, 1000, 1037, 4121, 3524, 2001, 4196, 2125, 9993, 1005, 1055, 4065, 2012, 2008, 2617, 1012, 18566, 3110, 2738, 8025, 1010, 1000, 2061, 1996, 4364, 2123, 1005, 1056, 2113, 1029, 1000, 1000, 9558, 2515, 1010, 1045, 1005, 1049, 2183, 2000, 2425, 1996, 2500, 2651, 1012, 1000, 1000, 2061, 1012, 1012, 1012, 2054, 2785, 1997, 4364, 2079, 2017, 2066, 1029, 1000, 1037, 14386, 3560, 5861, 2234, 2408, 2014, 2227, 1012, 3110, 2428, 9596, 2012, 2008, 2617, 1010, 1000, 2004, 2065, 2008, 1005, 1055, 2151, 1997, 2115, 2449, 1000, 2010, 2227, 3810, 10506, 2102, 2417, 1012, 1000, 5292, 3270, 1010, 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, 10974, 12914, 1047, 1010, 12849, 3406, 1049, 1010, 27668, 9759, 1061, 1010, 3802, 2632, 1012, 1037, 15354, 4800, 13013, 2121, 2817, 1997, 6351, 1513, 10163, 2557, 20900, 2005, 2350, 26308, 2854, 25320, 2482, 21081, 9335, 1024, 4942, 25902, 1997, 1046, 1513, 13675, 2891, 8574, 2475, 1044, 2078, 1012, 4456, 16596, 1012, 2760, 1025, 11518, 1024, 17403, 2575, 1011, 1011, 17696, 2475, 1012, 1026, 16770, 1024, 1013, 1013, 9193, 1012, 8917, 1013, 2184, 1012, 11118, 2487, 1013, 25222, 1012, 11502, 27814, 1028, 1015, 1012, 4955, 1063, 1001, 25222, 17134, 24087, 2620, 1011, 10819, 1011, 2199, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3078, 2350, 26308, 2854, 25320, 2482, 21081, 9335, 1006, 22214, 6169, 1007, 1010, 2029, 13368, 2013, 1996, 11968, 4140, 3593, 25320, 1010, 2158, 4305, 28808, 25320, 1010, 2030, 4942, 2989, 8787, 25320, 1010, 2024, 4659, 4678, 7870, 1025, 1996, 18949, 2003, 1015, 1012, 1017, 2566, 2531, 2199, 2429, 2000, 9867, 1997, 4678, 25409, 1999, 2885, 1012, 1031, 1015, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 26308, 2854, 25320, 2482, 21081, 9335, 2024, 3701, 5845, 2007, 5970, 1012, 2043, 1996, 11707, 7785, 2003, 3893, 2030, 5022, 2024, 11441, 2007, 2152, 1513, 3891, 4295, 1006, 1041, 2290, 1037, 7246, 3935, 13656, 2007, 5274, 2046, 5516, 5090, 1010, 2152, 1513, 3694, 2010, 23479, 1010, 2566, 3170, 11137, 5274, 1010, 1998, 7293, 2389, 6624, 1007, 1010, 2695, 25918, 8082, 8249, 2003, 4162, 1012, 1031, 1016, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1017, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2509, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1018, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2549, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1019, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2629, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1020, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2575, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 5970, 1998, 4748, 9103, 18941, 2557, 20900, 6162, 1037, 2334, 2491, 3446, 1997, 3155, 3938, 1003, 2012, 1019, 2086, 1012, 1031, 1017, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2509, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1020, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2575, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1021, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2581, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 2005, 1999, 25918, 3085, 3572, 1010, 15764, 2557, 20900, 2003, 2823, 2109, 1012, 2174, 1010, 2195, 2913, 2031, 2988, 2008, 15764, 26383, 2557, 20900, 2005, 22214, 2278, 4504, 1999, 3532, 2334, 2491, 6165, 1997, 3155, 2753, 1003, 2012, 1019, 2086, 2138, 22214, 2278, 8681, 1037, 7578, 2846, 1997, 2010, 3406, 27179, 4942, 13874, 2015, 1010, 2164, 2557, 6072, 23137, 2102, 21434, 1012, 1031, 1020, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2575, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1022, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2620, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 1023, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 2199, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 2184, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2692, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 3435, 20393, 2557, 20900, 3065, 1037, 3020, 7399, 2943, 4651, 1998, 1037, 3469, 5816, 6897, 12353, 1006, 21144, 2063, 1007, 2084, 26383, 2557, 20900, 1012, 3568, 1010, 2009, 2003, 2641, 4621, 2005, 2557, 6072, 23137, 2102, 21434, 1012, 3435, 20393, 2557, 20900, 3936, 2152, 2334, 2491, 6165, 1997, 3155, 5179, 1003, 1513, 4293, 1003, 2005, 22214, 2278, 1012, 1031, 2340, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 2260, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 2410, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2509, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1996, 8249, 7242, 2006, 19824, 2177, 1999, 1996, 3915, 1998, 1996, 2966, 2470, 2473, 1999, 1996, 2866, 12543, 1037, 4403, 3523, 6721, 3550, 6612, 3979, 13599, 26383, 1998, 3435, 20393, 2557, 20900, 2005, 7246, 3935, 4895, 6072, 22471, 3085, 22214, 2278, 1006, 3770, 1513, 5890, 1007, 1012, 1999, 1996, 2817, 1010, 3435, 20393, 2557, 20900, 4719, 1037, 7778, 2135, 3278, 7620, 1999, 2334, 2491, 6165, 1006, 5179, 1003, 5443, 1012, 2459, 1003, 1025, 1008, 1052, 1027, 1008, 1012, 4002, 2683, 1007, 1025, 1031, 2403, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2549, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 2174, 1010, 1996, 18949, 1997, 5729, 22423, 1997, 3435, 20393, 2557, 20900, 2001, 6022, 3020, 2084, 2008, 1997, 26383, 2557, 20900, 1006, 6353, 1003, 5443, 1012, 3943, 1003, 1025, 1008, 1052, 1008, 1027, 1012, 5718, 1007, 1012, 8821, 1010, 1996, 3115, 3949, 2005, 4895, 6072, 22471, 3085, 22214, 2278, 3464, 26383, 2557, 20900, 1012, 6351, 1513, 10163, 2557, 20900, 1006, 1039, 1513, 10163, 19387, 1007, 2003, 1037, 2152, 7399, 2943, 4651, 2557, 20900, 1012, 1996, 21144, 2063, 1997, 6351, 15956, 2003, 12435, 2007, 2008, 1997, 3435, 20393, 2015, 1012, 9308, 1010, 1039, 1513, 10163, 19387, 3065, 2488, 13004, 1513, 2334, 6026, 5144, 2084, 20393, 2015, 1998, 26383, 2015, 1031, 2321, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2629, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1998, 2453, 5547, 1996, 2397, 22423, 1012, 2195, 10015, 3463, 1997, 1039, 1513, 10163, 19387, 2005, 22214, 2278, 2031, 2042, 2988, 2011, 1037, 2309, 2820, 1012, 1996, 2334, 2491, 3446, 1997, 22214, 2278, 5845, 2007, 1039, 1513, 10163, 19387, 15844, 2013, 5354, 1003, 2000, 4293, 1003, 1012, 1031, 2385, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2575, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 2459, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2581, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 2000, 14358, 1996, 6612, 13105, 1997, 1039, 1513, 10163, 19387, 2005, 2132, 1998, 3300, 16007, 28207, 9243, 1010, 1037, 4800, 13013, 2121, 2817, 2001, 15354, 2135, 3344, 2041, 2011, 1996, 2900, 6351, 1513, 10163, 8249, 2006, 19824, 2817, 2177, 1006, 1046, 1513, 13675, 2891, 1025, 1046, 1513, 13675, 2891, 8574, 2475, 1044, 2078, 1007, 1012, 1996, 6612, 13105, 2005, 2169, 2350, 2010, 3406, 9966, 2828, 1997, 22214, 2278, 2031, 2525, 2042, 2988, 1010, 1998, 1039, 1513, 10163, 19387, 3662, 10015, 3463, 1012, 1031, 2324, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2620, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 1010, 1031, 2539, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 2174, 1010, 22214, 6169, 13368, 2013, 2536, 4655, 1997, 1996, 2132, 1998, 3300, 1010, 2107, 2004, 1996, 2350, 26308, 2854, 23340, 1010, 19432, 11649, 2389, 17790, 1010, 8700, 17790, 1010, 1998, 6887, 5649, 26807, 1012, 2000, 3449, 14194, 8524, 2618, 1996, 3808, 1997, 1039, 1513, 10163, 19387, 1010, 1037, 4942, 25902, 2241, 2006, 1996, 3078, 13656, 4573, 2071, 2022, 6179, 1999, 6612, 8146, 1012, 1999, 2023, 2817, 1010, 2057, 16330, 1996, 6612, 13105, 1997, 5022, 2007, 2350, 22214, 2278, 2478, 1996, 2951, 1997, 1996, 1046, 1513, 13675, 2891, 8574, 2475, 1044, 2078, 1012, 1016, 1012, 4475, 1998, 4725, 1063, 1001, 25222, 17134, 24087, 2620, 1011, 10819, 1011, 2199, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1016, 1012, 1015, 1012, 5002, 1046, 1513, 13675, 2891, 8574, 2475, 1044, 2078, 1012, 1063, 1001, 25222, 17134, 24087, 2620, 1011, 10819, 1011, 2199, 2509, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 1046, 1513, 13675, 2891, 8574, 2475, 1044, 2078, 2001, 3344, 2041, 2004, 1037, 15354, 5002, 1997, 5022, 2007, 1037, 3078, 2030, 28667, 29264, 2132, 1998, 3300, 16007, 28207, 5666, 2040, 2363, 1039, 1513, 10163, 19387, 1999, 2176, 4896, 1999, 2900, 2090, 2281, 2494, 1998, 2285, 2297, 1012, 1996, 10502, 9181, 2020, 1024, 1006, 1045, 1007, 2010, 3406, 9966, 2135, 4484, 16007, 28207, 5666, 1025, 1006, 2462, 1007, 2053, 5923, 2030, 3730, 8153, 21434, 1025, 1006, 3523, 1007, 1050, 2692, 2030, 1050, 2487, 1049, 2692, 3570, 1025, 1006, 4921, 1007, 2966, 2135, 1999, 25918, 3085, 21434, 2030, 5970, 13948, 1025, 1006, 1058, 1007, 15764, 7848, 1025, 1006, 6819, 1007, 2033, 28329, 21434, 1025, 1998, 1006, 8890, 1007, 2019, 17338, 2290, 2836, 3570, 1997, 1014, 1513, 1016, 1012, 5022, 2040, 2018, 3130, 17215, 20868, 12173, 18963, 2005, 1996, 2168, 4649, 3258, 2020, 12421, 1012, 1031, 2324, 1033, 1006, 1001, 25222, 17134, 24087, 2620, 1011, 12170, 2497, 1011, 25604, 2620, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 25416, 1000, 1065, 2023, 2817, 2001, 10607, 2429, 2000, 1996, 11594, 4844, 2011, 1996, 12148, 3319, 2604, 1997, 2169, 5145, 1998, 2003, 5068, 2007, 8529, 2378, 1513, 14931, 2099, 1006, 8299, 1024, 1026, 8299, 1024, 1013, 1013, 7479, 1012, 8529, 2378, 1012, 9353, 1012, 16545, 1013, 14931, 2099, 1013, 5950, 1011, 1046, 1012, 1044, 21246, 1028, 1007, 1010, 8720, 2193, 8529, 2378, 8889, 8889, 18827, 22610, 2509, 1012, 1996, 5002, 2443, 3938, 2620, 7792, 5022, 1012, 1997, 2122, 1010, 6353, 2007, 2350, 22214, 2278, 2020, 8302, 1999, 2023, 2817, 1012, 2035, 21434, 2020, 6219, 2429, 2000, 1996, 21318, 9468, 1032, 1005, 1055, 28286, 2213, 5579, 1006, 5504, 3179, 1007, 1012, 1996, 13316, 2072, 1032, 1005, 1055, 2691, 18444, 9181, 2005, 15316, 2824, 1006, 2544, 1018, 1012, 1014, 1007, 2003, 1996, 6871, 4118, 2005, 12515, 11704, 6447, 2044, 13441, 1012, 11325, 22423, 2001, 4225, 2004, 10066, 2306, 1017, 2706, 1997, 1996, 17890, 1997, 1039, 1513, 10163, 19387, 1025, 2397, 22423, 2001, 4225, 2004, 10066, 2062, 2084, 1017, 2706, 6920, 1012, 2057, 5067, 2592, 2055, 3694, 1609, 2509, 11325, 11704, 6447, 1998, 3694, 1609, 2475, 2397, 11704, 6447, 1012, 2334, 2491, 2001, 4225, 2004, 2053, 3350, 1997, 13656, 19723, 10524, 2705, 1999, 1996, 4041, 4539, 3872, 1006, 13866, 2615, 1007, 1012, 3164, 2491, 2001, 4225, 2004, 2053, 3350, 1997, 3164, 1048, 24335, 8458, 13045, 28667, 3126, 24413, 1012, 1016, 1012, 1016, 1012, 6351, 1513, 10163, 19387, 1063, 1001, 25222, 17134, 24087, 2620, 1011, 10819, 1011, 2199, 2549, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 5022, 2020, 10959, 1999, 28749, 18293, 2015, 1998, 10047, 5302, 14454, 3550, 2478, 1037, 2659, 1513, 4860, 1996, 10867, 7361, 28723, 5806, 1012, 24806, 3419, 9888, 1006, 14931, 1007, 4871, 1997, 2035, 5022, 1010, 4964, 1999, 2597, 2478, 2019, 14258, 21727, 10047, 5302, 14454, 3989, 5080, 1010, 2020, 2579, 1999, 1037, 10514, 19265, 2597, 1012, 2478, 1996, 14931, 4871, 1010, 1037, 1017, 1513, 1040, 3949, 2933, 2001, 4810, 1012, 2057, 2109, 9530, 21163, 2098, 3078, 22520, 1998, 18804, 16677, 1048, 24335, 8458, 14164, 2004, 1996, 7977, 13656, 3872, 1006, 14181, 2615, 1007, 2006, 14931, 4871, 2478, 27011, 2004, 1037, 4431, 1012, 1996, 6612, 4539, 3872, 2443, 1996, 2878, 28141, 2609, 1999, 2029, 1996, 14181, 2615, 2001, 2284, 1012, 20868, 12173, 18963, 2000, 17678, 29598, 28804, 1048, 24335, 8458, 14164, 2001, 16647, 1012, 1996, 13866, 2615, 2001, 4225, 2004, 1996, 6612, 4539, 3872, 4606, 1037, 1016, 1513, 1019, 1513, 3461, 3808, 7785, 2000, 4070, 2005, 2597, 12503, 1012, 1996, 13004, 2001, 16250, 2000, 1996, 11163, 13013, 2121, 1012, 1996, 13866, 2615, 2001, 10837, 23758, 3973, 2012, 1037, 6263, 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, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3252, 1998, 3853, 1997, 2566, 11636, 19565, 4168, 4013, 15509, 16259, 1011, 8878, 13833, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2566, 11636, 19565, 4168, 4013, 15509, 16259, 1011, 8878, 13833, 1006, 4903, 11650, 1007, 2024, 2124, 2000, 2022, 5423, 3593, 13907, 1010, 1998, 2037, 27854, 2015, 2024, 2109, 1999, 1996, 3949, 1997, 2828, 1016, 14671, 11463, 15909, 2271, 1006, 1056, 2475, 22117, 1007, 1998, 2060, 21453, 8715, 2015, 1012, 4903, 11650, 2024, 1037, 2155, 1997, 4517, 13833, 2008, 2552, 2004, 14193, 5876, 1010, 9756, 1996, 9165, 2920, 1999, 2943, 2188, 28696, 6190, 1012, 1031, 1030, 29491, 1033, 4903, 11650, 3745, 1037, 2152, 3014, 1997, 8332, 24004, 6483, 2007, 2060, 4127, 1997, 4517, 18714, 13833, 1012, 1031, 1030, 1038, 2475, 1033, 4903, 11650, 15821, 1037, 6064, 1011, 8031, 5884, 1006, 16962, 2094, 1007, 1010, 2019, 3283, 26942, 1011, 2981, 13791, 5884, 1006, 21358, 1011, 1015, 1007, 1010, 1998, 2019, 3283, 26942, 1011, 7790, 13791, 5884, 1006, 21358, 1011, 1016, 1007, 1010, 2029, 3397, 1996, 27854, 1011, 8031, 5884, 1006, 6053, 2094, 1007, 1012, 4903, 11650, 21770, 10624, 22172, 11124, 4371, 2007, 1996, 2128, 25690, 3593, 1060, 10769, 1006, 1054, 2595, 2099, 1007, 1011, 1155, 1998, 20544, 1996, 14193, 1997, 4539, 9165, 2011, 8031, 2000, 1996, 4903, 2906, 3433, 5783, 1006, 4903, 2890, 1007, 1012, 1996, 4903, 2906, 2155, 2038, 2093, 11163, 22694, 1025, 4903, 2906, 14608, 1010, 1157, 1010, 1998, 1156, 1013, 1158, 1012, 4903, 2906, 14608, 2003, 5228, 3701, 1999, 1996, 11290, 1010, 2540, 1010, 14234, 1010, 2829, 27133, 20688, 8153, 1006, 7151, 1007, 1010, 1998, 20415, 6740, 1010, 1031, 1030, 1038, 2509, 1033, 1998, 17257, 1999, 19101, 5648, 19577, 1006, 1156, 1011, 1998, 1179, 1011, 19577, 1007, 1012, 1031, 1030, 1038, 2549, 1033, 1996, 4903, 2906, 29720, 1013, 1158, 11163, 14192, 2003, 5228, 28498, 2135, 1998, 2003, 2920, 1999, 19101, 5648, 19577, 1999, 6740, 1012, 1031, 1030, 1038, 2629, 1033, 4903, 2906, 29721, 2003, 5228, 9197, 1999, 27133, 20688, 8153, 1998, 3248, 3145, 4395, 1999, 5423, 23924, 19009, 1998, 27133, 6873, 5666, 2618, 20582, 1012, 2009, 2036, 23216, 2015, 18423, 19577, 1998, 17913, 12123, 2489, 19101, 5648, 2504, 1012, 1031, 1030, 1038, 2629, 1033, 4903, 2906, 29721, 3774, 1997, 2048, 11163, 13874, 2015, 1025, 4903, 2906, 29721, 2487, 2003, 5228, 1999, 27133, 6873, 27321, 1010, 20415, 6740, 1010, 11290, 1010, 1998, 2540, 1010, 6168, 4903, 2906, 29721, 2475, 2003, 3262, 2179, 1999, 27133, 20688, 8153, 1012, 1031, 1030, 1038, 2575, 1033, 4903, 2906, 29721, 2475, 3248, 1037, 2062, 2590, 2535, 2084, 2515, 4903, 2906, 29721, 2487, 1999, 27133, 6873, 23737, 1012, 1031, 1030, 1038, 2581, 1033, 19389, 7784, 1997, 4903, 2906, 29721, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 4903, 2906, 29721, 2001, 2034, 4453, 2004, 1037, 9099, 1011, 3772, 5387, 8031, 2000, 1037, 4962, 17181, 1037, 6638, 1011, 3563, 11598, 2099, 1997, 9706, 2475, 1006, 27133, 6873, 5666, 2618, 1011, 3563, 19101, 5648, 8031, 5250, 1007, 1012, 1031, 1030, 1038, 2620, 1033, 24004, 9096, 3995, 2271, 4903, 2906, 29721, 11369, 12328, 8327, 2019, 28086, 8713, 12765, 6887, 16515, 13874, 2349, 2000, 2173, 15758, 28466, 1012, 21770, 10624, 9096, 3995, 2271, 4903, 2906, 29721, 13366, 20132, 12328, 2024, 13070, 2000, 2152, 1011, 6638, 8738, 1011, 10572, 22597, 5012, 2349, 2000, 27133, 6873, 5666, 2618, 23760, 13181, 21281, 1998, 3445, 3393, 13876, 2378, 3670, 1012, 1031, 1030, 1038, 2683, 1033, 1996, 14925, 14399, 2594, 3670, 1997, 4903, 2906, 29721, 2001, 2179, 2000, 11598, 1996, 20582, 1997, 3653, 17190, 6873, 27321, 2046, 27133, 6873, 27321, 1010, 2007, 4903, 2906, 29721, 3772, 2004, 2019, 6827, 5387, 2005, 20582, 1012, 1031, 1030, 29491, 2692, 1033, 1999, 2804, 1010, 4903, 2906, 29721, 2003, 2124, 2000, 3796, 1996, 18856, 16026, 4935, 2008, 5158, 3081, 10210, 12650, 1010, 2019, 6827, 2754, 1997, 27133, 6873, 5666, 2618, 20582, 1012, 1031, 1030, 29491, 2487, 1033, 1010, 1031, 1030, 29491, 2475, 1033, 16215, 2401, 6844, 21273, 21280, 3258, 2229, 1006, 1056, 26494, 2015, 1007, 2024, 1037, 2465, 1997, 10099, 2008, 3853, 2004, 27854, 2015, 1997, 4903, 2906, 29721, 1012, 2122, 10099, 5335, 22597, 14639, 1008, 1999, 24269, 1008, 1998, 2031, 2042, 3107, 2004, 17261, 6074, 2005, 1996, 3949, 1997, 1056, 2475, 22117, 1012, 1031, 1030, 29491, 2509, 1033, 1010, 1031, 1030, 29491, 2549, 1033, 1056, 26494, 2015, 3623, 1996, 3670, 1997, 4903, 2906, 29721, 1998, 2049, 14193, 2389, 4023, 1999, 27133, 20688, 8153, 1010, 4525, 1999, 1996, 2039, 2890, 24848, 3370, 1997, 1996, 3670, 1997, 9165, 2920, 1999, 1996, 18089, 1997, 5423, 9821, 1010, 2482, 5092, 10536, 7265, 4570, 1010, 26261, 29514, 1010, 1998, 13096, 12737, 1012, 1031, 1030, 29491, 2629, 1033, 1011, 1031, 1030, 29491, 2581, 1033, 1056, 26494, 2015, 3623, 22597, 14639, 2011, 2039, 2890, 24848, 5844, 1996, 3670, 1997, 3674, 9165, 1010, 2107, 2004, 27133, 29513, 6593, 2378, 1010, 17324, 2140, 1011, 3378, 5250, 1010, 22597, 10769, 16305, 1016, 1010, 1998, 18423, 3665, 2121, 1018, 1012, 1031, 1030, 29491, 2620, 1033, 1011, 1031, 1030, 1038, 21926, 1033, 1056, 26494, 2015, 2036, 5326, 19101, 5648, 5527, 1998, 5423, 3593, 18089, 1010, 2107, 2004, 19101, 5648, 9099, 4135, 18382, 1006, 3729, 21619, 1007, 1010, 2566, 18622, 8091, 1010, 19101, 5648, 8031, 5250, 1018, 1006, 6904, 2497, 2361, 2549, 1013, 9706, 2475, 1007, 1010, 5423, 7361, 21709, 12377, 5423, 11022, 1010, 9353, 8516, 1011, 28155, 24203, 11022, 1010, 6887, 2891, 8458, 8913, 3630, 2140, 1052, 12541, 2226, 16952, 2482, 8758, 15922, 15227, 2063, 1006, 27233, 3600, 1007, 1010, 1998, 1043, 2135, 17119, 4747, 21903, 1006, 1043, 15922, 1007, 1012, 1031, 1030, 1038, 18827, 1033, 1011, 1031, 1030, 1038, 21486, 1033, 2174, 1010, 1996, 13791, 1997, 4903, 2906, 29721, 3463, 1999, 1996, 22422, 1997, 1996, 9165, 17181, 3393, 13876, 2378, 1010, 13656, 26785, 29166, 5387, 1011, 1155, 1006, 28286, 2546, 1011, 1155, 1007, 1010, 1998, 6970, 2571, 14228, 2078, 1011, 1020, 1012, 1031, 1030, 1038, 16703, 1033, 1011, 1031, 1030, 1038, 19481, 1033, 4903, 2906, 29721, 17913, 20194, 2489, 19101, 5648, 2504, 1998, 7457, 1996, 2193, 1997, 2235, 27133, 6873, 27321, 1010, 2007, 1037, 9530, 9006, 25451, 2102, 9885, 1999, 1996, 2193, 1997, 2312, 27133, 6873, 27321, 1999, 2317, 27133, 20688, 8153, 1006, 28194, 1007, 1012, 1999, 2804, 2000, 1996, 2535, 1997, 4903, 2906, 29721, 1999, 27133, 20688, 8153, 1010, 4903, 2906, 29721, 3495, 20544, 2015, 1996, 9165, 1997, 1996, 18423, 1011, 13851, 14709, 1999, 1996, 11290, 1998, 6090, 16748, 12070, 1156, 1011, 4442, 1012, 1056, 26494, 2015, 3623, 1996, 3670, 1997, 1996, 9165, 17181, 1043, 7630, 3597, 4939, 11022, 1006, 1048, 2290, 2243, 1998, 1156, 2290, 2243, 1007, 1998, 18423, 3665, 2121, 1016, 1006, 1043, 7630, 2102, 2475, 1007, 1999, 1996, 11290, 1031, 1030, 1038, 21619, 1033, 1010, 1031, 1030, 1038, 24434, 1033, 1998, 6090, 16748, 12070, 1156, 1011, 4442, 1010, 4414, 1006, 2156, 1031, 2795, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 2005, 12654, 1007, 1012, 1031, 1030, 1038, 22025, 1033, 1010, 1031, 1030, 1038, 23499, 1033, 1996, 14193, 2389, 4023, 1997, 4903, 2906, 29721, 2003, 3395, 2000, 2491, 2012, 2536, 3798, 1025, 1045, 1012, 1041, 1012, 1010, 3081, 14080, 1997, 1996, 10769, 2993, 2030, 10266, 2007, 2060, 8171, 1012, 1999, 2023, 3319, 1010, 2057, 2097, 5787, 2256, 6594, 2000, 1996, 7816, 1997, 4903, 2906, 29721, 4023, 2011, 2536, 21935, 8171, 2164, 4563, 24848, 18926, 1010, 1998, 2011, 2695, 1011, 5449, 2389, 12719, 1006, 13866, 5244, 1007, 2008, 2765, 1999, 14193, 2389, 7816, 1997, 4903, 2906, 29721, 4539, 9165, 1012, 21935, 8171, 16913, 10924, 14193, 2389, 3450, 1997, 4903, 2906, 29721, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 14193, 2389, 4023, 1997, 4903, 2906, 29721, 2003, 16552, 16913, 8898, 2011, 3283, 26942, 2015, 1010, 2029, 13024, 2593, 28155, 6593, 11444, 6591, 2030, 4563, 20110, 5668, 1012, 1999, 2236, 1010, 27854, 1011, 5391, 4903, 2906, 29721, 15024, 28155, 6593, 11444, 6591, 1010, 6168, 27854, 1011, 2489, 4903, 2906, 29721, 2003, 5391, 2000, 4563, 20110, 5668, 1012, 2122, 4563, 24848, 18926, 3853, 2004, 2010, 5524, 1011, 29226, 16285, 2030, 7987, 3593, 4726, 2967, 2090, 1996, 15191, 14193, 2389, 10394, 1998, 4903, 2906, 29721, 1012, 1031, 1030, 1038, 12740, 1033, 9308, 1010, 3176, 8171, 2024, 8733, 2000, 2122, 4563, 24848, 18926, 2008, 2089, 7461, 8153, 1011, 3563, 3450, 1997, 4903, 2906, 29721, 1012, 28155, 6593, 11444, 6591, 1997, 4903, 2906, 29721, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1001, 1001, 1001, 28155, 6593, 11444, 6591, 2007, 2010, 5524, 9078, 3723, 7096, 5521, 22747, 24140, 2063, 4023, 27854, 1011, 5391, 4903, 2906, 29721, 29129, 23758, 3370, 2389, 3431, 1010, 4346, 3967, 4573, 2005, 1048, 20348, 3363, 17366, 2008, 2024, 2556, 1999, 28155, 6593, 11444, 6591, 2107, 2004, 1052, 16048, 2692, 1013, 26261, 22943, 10769, 28155, 6593, 11444, 4263, 1011, 1015, 1006, 5034, 2278, 1011, 1015, 1007, 1998, 1052, 14142, 2692, 1013, 13675, 15878, 1011, 8031, 5250, 1006, 17324, 2361, 1007, 1012, 1031, 1030, 1038, 23632, 1033, 2122, 28155, 6593, 11444, 6591, 2031, 23807, 2010, 5524, 9078, 3723, 7096, 5521, 22747, 24140, 2063, 3450, 1010, 2029, 11598, 1996, 14193, 2389, 3450, 1997, 4903, 2906, 29721, 1012, 2372, 1997, 1996, 1052, 16048, 2692, 1013, 5034, 2278, 1011, 1015, 2155, 2164, 5034, 2278, 1011, 1015, 1006, 2036, 2124, 2004, 13316, 10441, 1011, 1015, 1007, 1010, 5034, 2278, 1011, 1016, 1006, 2036, 2124, 2004, 14841, 2546, 2475, 1010, 6218, 1011, 1015, 1010, 2030, 13316, 10441, 1011, 1016, 1007, 1010, 1998, 5034, 2278, 1011, 1017, 1006, 2036, 2124, 2004, 1052, 1013, 25022, 2361, 1010, 2552, 2099, 1010, 10958, 2278, 1011, 1017, 1010, 9932, 2497, 1011, 1015, 1010, 2030, 12517, 1011, 1015, 1007, 1010, 7141, 2000, 2023, 4696, 1012, 1031, 1030, 1038, 20958, 1033, 5034, 2278, 1011, 1015, 11369, 1006, 12849, 1007, 12328, 3662, 3445, 28194, 3742, 1998, 1037, 9885, 1999, 1996, 3670, 1997, 9165, 2920, 1999, 1996, 10867, 23924, 19009, 1999, 2829, 27133, 20688, 8153, 1006, 7151, 1007, 1012, 2122, 12849, 12328, 2036, 3662, 10548, 3670, 1997, 1996, 9165, 17181, 4895, 3597, 6279, 2989, 5250, 1006, 15384, 2361, 1011, 1015, 1007, 1010, 4903, 2906, 29721, 28155, 6593, 11444, 4263, 1011, 1015, 1006, 18720, 2278, 1011, 1015, 14608, 1007, 1010, 1998, 9353, 8516, 1011, 28155, 23060, 8524, 3366, 1010, 2004, 2092, 2004, 2216, 17181, 16285, 2920, 1999, 19101, 5648, 19577, 1012, 1031, 1030, 1038, 20958, 1033, 1048, 20348, 3363, 17366, 1999, 5034, 2278, 1011, 1015, 11835, 3495, 2007, 1996, 21358, 1011, 1016, 5884, 1997, 4903, 2906, 29721, 1010, 14357, 17324, 2361, 1010, 2029, 2003, 3223, 2005, 4903, 2906, 29721, 3853, 1012, 1031, 1030, 1038, 23777, 1033, 5034, 2278, 2475, 1034, 1011, 1013, 1011, 1034, 12328, 8327, 3445, 22597, 14639, 1998, 2024, 13070, 2000, 1996, 2458, 1997, 24552, 1012, 2122, 12328, 2265, 3445, 5423, 4747, 20960, 1998, 10548, 19101, 5648, 2039, 15166, 1998, 5527, 2029, 2024, 3141, 2000, 1996, 7312, 1997, 4903, 2906, 29721, 4023, 1012, 1031, 1030, 1038, 20958, 1033, 2043, 5034, 2278, 1011, 1017, 2003, 13366, 20132, 1010, 4563, 20110, 5668, 2107, 2004, 4517, 10769, 2522, 1011, 16360, 8303, 2953, 1006, 13316, 2953, 1007, 1998, 4517, 10769, 21935, 5250, 1015, 1006, 17212, 11514, 2487, 2030, 10973, 16932, 2692, 1007, 2024, 8733, 2000, 1996, 4903, 2890, 1997, 1996, 15384, 2361, 2487, 4962, 1010, 4525, 1999, 1037, 9885, 1999, 2049, 14193, 1012, 1031, 1030, 1038, 22932, 1033, 5034, 2278, 1011, 1017, 1998, 5034, 2278, 1011, 1015, 3313, 12849, 12328, 2024, 13070, 2000, 2152, 1011, 6638, 8738, 1011, 10572, 24552, 1010, 2349, 2000, 1996, 10548, 3670, 1997, 4903, 2906 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6428, 8295, 2088, 9432, 1010, 2089, 5757, 1010, 2432, 4507, 4835, 1996, 4597, 2024, 2041, 1012, 1996, 6451, 8236, 4033, 1005, 1056, 2042, 3825, 1999, 2706, 1012, 2026, 18328, 2038, 2042, 9177, 2005, 1037, 2146, 2051, 2007, 2256, 3751, 2194, 1010, 1999, 2755, 1010, 2043, 1045, 2333, 1999, 1010, 1045, 2001, 2409, 2027, 2020, 2012, 1037, 3233, 1011, 2125, 1012, 1045, 4033, 1005, 1056, 3825, 2028, 3751, 3021, 2144, 1045, 2333, 2046, 2026, 4545, 1012, 2085, 1996, 4597, 2024, 2125, 1012, 23613, 1010, 1996, 2154, 1996, 4597, 2253, 2125, 2003, 1996, 2154, 1045, 2718, 2039, 2026, 15536, 1011, 10882, 2005, 1996, 2034, 2051, 1012, 1045, 2777, 2026, 2767, 6316, 4402, 2012, 2586, 2675, 2197, 2305, 1998, 2016, 2435, 2033, 1996, 2109, 1043, 2509, 1045, 4149, 2013, 2014, 1010, 3199, 4003, 5361, 1012, 1045, 2001, 3564, 2114, 1996, 2813, 1997, 6261, 2636, 3752, 1000, 1996, 7281, 2008, 9913, 1000, 2000, 2870, 1012, 2043, 1045, 2131, 1996, 3382, 2000, 1010, 1045, 2467, 3191, 25991, 2041, 5189, 1012, 2009, 1005, 1055, 16376, 1010, 2009, 1005, 1055, 7916, 1010, 1998, 2009, 5683, 2066, 1037, 2204, 3769, 2299, 1012, 2651, 1045, 2246, 2005, 2070, 2489, 9949, 14164, 1999, 1996, 2103, 2006, 7479, 1012, 16392, 20357, 3238, 1012, 5658, 1010, 1998, 1045, 2787, 2000, 3046, 2009, 2041, 1999, 5953, 2675, 2380, 1012, 2043, 2216, 2210, 29137, 2318, 2039, 1998, 1045, 2387, 2008, 1045, 2001, 4198, 1010, 1998, 2043, 1045, 2633, 3390, 1996, 16602, 2007, 2026, 4376, 4960, 14960, 2006, 2026, 5001, 1010, 2009, 2371, 2066, 2070, 2785, 1997, 3894, 7577, 1012, 2182, 1045, 2572, 1010, 2006, 1996, 4274, 1010, 1998, 2045, 2024, 8239, 5055, 9610, 14536, 2075, 1998, 7161, 2000, 13433, 7361, 2006, 2033, 1010, 1045, 2064, 2514, 1996, 3612, 1010, 2019, 2214, 2304, 2158, 2003, 2652, 2858, 2006, 1996, 6847, 2279, 2000, 2033, 1012, 2023, 2038, 2467, 2042, 2107, 2019, 20531, 2797, 1010, 3167, 3325, 1012, 2085, 1045, 1005, 1049, 4198, 2000, 1996, 2088, 1010, 1998, 1010, 2012, 1996, 2168, 2051, 1010, 1045, 1005, 1049, 2145, 1012, 1012, 1012, 4198, 2000, 1996, 2088, 1012, 1045, 1005, 1049, 2061, 7568, 2085, 2008, 1045, 1005, 2310, 2787, 2000, 3693, 2039, 2007, 16392, 20357, 3238, 1010, 1037, 23299, 2451, 4526, 2489, 9949, 2980, 13102, 12868, 2035, 2058, 1996, 2103, 1010, 2004, 1037, 6951, 1998, 11504, 1037, 2604, 2266, 2058, 1996, 2621, 1012, 1045, 2180, 1005, 1056, 3535, 2000, 14833, 25709, 2144, 1045, 1005, 1049, 4415, 1005, 13648, 1005, 2023, 1017, 2030, 1018, 2086, 2044, 3071, 2842, 2038, 1010, 2021, 1045, 2097, 2831, 2055, 2054, 19815, 2015, 2033, 2041, 2055, 1996, 2773, 1005, 9949, 1005, 1012, 2043, 22229, 2020, 2761, 11625, 2012, 1996, 4088, 2075, 1997, 1996, 3983, 2301, 1010, 2027, 2020, 2445, 1996, 2171, 1005, 9949, 1005, 1012, 2027, 2020, 2761, 3832, 2004, 2048, 1011, 2126, 4807, 5733, 1010, 1999, 1996, 3168, 1997, 1037, 3328, 2666, 1011, 2831, 2666, 1012, 2612, 1010, 9949, 1010, 2029, 2001, 3615, 2000, 2004, 1005, 2557, 20846, 2100, 1005, 1998, 2101, 2004, 1005, 2557, 1005, 1010, 2764, 1037, 2327, 1011, 2091, 1010, 25835, 2944, 1012, 4024, 1998, 3226, 6088, 6817, 1010, 8393, 1005, 1055, 2150, 13135, 1012, 1045, 1005, 1049, 2025, 9104, 2023, 2001, 1037, 2919, 2518, 1010, 1045, 2293, 2214, 2557, 8960, 1012, 2009, 1005, 1055, 13366, 14776, 2135, 2242, 1045, 2215, 2000, 8849, 2062, 1012, 2021, 6786, 2123, 1005, 1056, 2191, 3209, 2330, 2000, 6125, 1010, 4496, 2079, 2027, 3443, 2591, 5090, 1012, 1996, 4274, 2003, 2025, 26096, 11519, 7941, 3550, 1012, 2748, 1010, 2009, 2001, 2580, 4919, 2004, 1037, 11519, 7941, 3550, 2865, 1010, 2021, 2009, 2038, 2069, 2815, 2061, 2138, 2049, 10390, 1998, 25712, 8851, 5630, 2000, 2562, 2009, 15029, 1998, 1010, 2005, 1996, 2087, 2112, 1010, 6970, 1011, 3167, 1998, 3161, 1012, 2023, 2003, 2339, 2009, 2003, 3697, 2000, 14955, 18291, 4697, 2974, 1012, 2009, 1005, 1055, 2025, 2130, 1037, 3043, 1997, 2040, 7711, 1996, 2965, 1997, 2537, 1010, 2030, 1996, 13165, 2008, 1037, 2974, 10743, 2396, 24153, 2015, 1998, 4942, 17960, 8520, 2046, 1996, 15152, 1006, 6647, 2063, 1005, 1055, 1005, 10660, 11581, 2964, 1005, 1007, 2009, 1005, 1055, 2055, 1996, 18111, 2008, 2038, 2042, 2441, 2005, 1037, 2974, 2320, 2009, 8480, 1010, 1998, 1996, 18111, 2009, 15867, 2000, 2482, 3726, 2041, 2005, 2993, 1012, 25991, 1005, 1996, 7281, 2008, 9913, 2003, 1037, 2338, 2055, 1996, 6823, 14520, 1012, 2009, 3138, 1996, 2433, 1997, 1037, 6823, 2680, 4512, 1011, 3714, 1010, 21933, 10111, 18413, 8787, 3550, 1010, 28667, 5358, 21114, 3064, 1010, 2053, 3395, 4092, 1012, 2009, 2003, 2019, 3535, 2000, 2417, 12879, 3170, 1996, 3117, 2044, 1996, 6823, 14520, 3084, 2116, 1997, 1996, 3117, 1005, 1055, 4972, 15832, 1012, 1996, 2338, 7460, 2000, 25991, 1005, 6846, 11544, 1010, 11677, 2011, 1996, 3730, 3698, 1998, 5531, 1999, 1996, 6846, 4671, 1012, 11853, 1010, 1996, 4109, 1997, 2466, 2008, 15778, 1999, 1998, 2041, 1997, 1996, 2338, 2024, 2055, 1996, 6846, 11240, 1010, 1037, 2177, 1997, 12114, 9756, 1996, 5209, 1997, 4507, 2011, 18847, 18155, 6026, 1996, 2965, 1997, 3696, 9031, 1010, 2030, 1996, 2537, 1997, 3574, 1012, 1996, 6846, 2610, 4675, 1996, 4100, 20214, 2002, 3351, 22847, 2007, 2054, 2651, 2052, 2022, 2170, 1005, 3226, 9389, 6562, 1005, 1010, 29464, 1012, 19739, 11124, 4571, 4100, 20214, 2015, 1012, 2027, 3145, 2685, 25991, 7164, 2002, 2003, 2437, 1024, 1996, 6823, 14520, 24964, 14213, 1996, 4487, 20939, 6499, 23247, 1997, 1996, 3395, 1012, 2009, 4473, 1996, 3395, 2000, 5382, 2009, 2003, 5860, 9236, 14547, 2550, 1998, 1037, 4031, 1997, 1037, 7189, 2306, 1037, 4100, 20214, 2291, 1012, 2043, 25991, 1005, 2720, 10024, 14232, 1011, 3680, 19864, 2758, 1000, 2488, 2084, 1996, 2613, 2518, 1029, 9815, 1010, 2045, 2003, 2053, 2613, 2518, 1000, 1010, 2009, 2003, 2138, 2002, 5927, 3696, 9031, 2004, 1037, 18746, 7577, 1010, 1037, 2160, 1997, 13536, 1010, 1037, 1005, 15562, 1005, 1012, 1996, 7037, 2964, 25991, 9570, 2015, 2003, 2025, 2090, 1005, 2613, 1005, 1998, 1005, 4895, 22852, 1005, 1010, 2021, 2090, 4742, 1998, 5005, 1011, 1011, 1996, 7755, 2024, 2112, 1997, 1037, 6565, 1010, 15275, 2810, 1011, 1996, 1005, 4507, 2996, 1005, 1012, 2054, 25991, 6083, 2003, 2008, 1996, 6823, 14520, 1010, 1999, 2049, 13508, 1997, 1996, 5739, 1005, 2376, 1998, 21766, 13876, 12228, 1997, 1996, 4100, 20214, 4677, 1010, 3965, 5760, 5005, 1011, 8488, 1010, 12613, 1998, 3558, 1012, 9780, 2000, 28359, 6633, 4645, 1011, 1011, 9780, 2000, 28359, 6633, 4645, 1011, 1011, 1996, 4841, 2024, 19274, 2075, 2149, 2046, 2037, 1038, 4135, 25918, 15934, 2015, 999, 1000, 2119, 6867, 2064, 2501, 13867, 1010, 29227, 2015, 1010, 4449, 1998, 4675, 8551, 2545, 1011, 2061, 2501, 1996, 2878, 2162, 2007, 2049, 7465, 1998, 6859, 2015, 1010, 9248, 1998, 1041, 7959, 11149, 1010, 15447, 11865, 2278, 1011, 11139, 1998, 9781, 2100, 2774, 1011, 2017, 3305, 6343, 26236, 2050, 2000, 10506, 2045, 2012, 2035, 1011, 2061, 2339, 3198, 3980, 1998, 2339, 3437, 1029, 1012, 1012, 1011, 2339, 2025, 2681, 2115, 6823, 2007, 2014, 6823, 1998, 4487, 13102, 16700, 2007, 4424, 3967, 1029, 1000, 1996, 2197, 2240, 2003, 1997, 2607, 29257, 1010, 2021, 2007, 2035, 1997, 25991, 1005, 8562, 1010, 1996, 7404, 2003, 1999, 1996, 4507, 1997, 1996, 8257, 1010, 1996, 4942, 17960, 4383, 14714, 2008, 2265, 2006, 1996, 3302, 1010, 4786, 9596, 6980, 1012, 1996, 4318, 1998, 22822, 28210, 4309, 1997, 25991, 1005, 13271, 1997, 4424, 4490, 23554, 2191, 2009, 2566, 16070, 1998, 6802, 1010, 19313, 1998, 1999, 15549, 28032, 3512, 2000, 1996, 2391, 1997, 3558, 17964, 1012, 1045, 2056, 2008, 1005, 1996, 6823, 14520, 2003, 1996, 4602, 11028, 2144, 1996, 20910, 1005, 1010, 1998, 2182, 1005, 1055, 2339, 1011, 1996, 6823, 14520, 1010, 2012, 2560, 2023, 2220, 3438, 1005, 1055, 10661, 1997, 1996, 12109, 6823, 14520, 1010, 2064, 3965, 5739, 1010, 17820, 1037, 15152, 3432, 2011, 8402, 2993, 13589, 2135, 1998, 15850, 2135, 1010, 4487, 20939, 6499, 7405, 3436, 2013, 1996, 6123, 1997, 1037, 2529, 2227, 1010, 1997, 1037, 2529, 2166, 1012, 1996, 8060, 6167, 2003, 3561, 2007, 3707, 1010, 10040, 1999, 2367, 7826, 1010, 10380, 5897, 2094, 1010, 4372, 2121, 5856, 5422, 1010, 5613, 1012, 8060, 2943, 3084, 1996, 2529, 2376, 12147, 1012, 3405, 6786, 7949, 1996, 2087, 5793, 3696, 28295, 1997, 3395, 7730, 1010, 23105, 4972, 2057, 2087, 5482, 2007, 2542, 1010, 2107, 2004, 28042, 1998, 9380, 7755, 1012, 2062, 6299, 1010, 25991, 3594, 1996, 6823, 14520, 2000, 24964, 12031, 1996, 3013, 1011, 2039, 6028, 1010, 11867, 10415, 2075, 5755, 2362, 2000, 3965, 5739, 4092, 2007, 2195, 5755, 1012, 2023, 11596, 1996, 6970, 6342, 2497, 20614, 3512, 3267, 1997, 8298, 1010, 1996, 2755, 2008, 1996, 3395, 2003, 1037, 4031, 1997, 20582, 2015, 1010, 21766, 13876, 14900, 2008, 17183, 2906, 16280, 2073, 1045, 2203, 1998, 2017, 4088, 1012, 1005, 3013, 1011, 2039, 1005, 2003, 1037, 14988, 2000, 1996, 14815, 1011, 14535, 2627, 17322, 2008, 17367, 2101, 2695, 5302, 25888, 6002, 1012, 1045, 2052, 7475, 1010, 2174, 1010, 2008, 2009, 9099, 23865, 2015, 2151, 6685, 2081, 2011, 1005, 2695, 5302, 25888, 1005, 6048, 2011, 9268, 4034, 2013, 1996, 3793, 1012, 2738, 2084, 1037, 19143, 1997, 12158, 9537, 1010, 25991, 1005, 6981, 2003, 1037, 2557, 27385, 3325, 1010, 2927, 2025, 1999, 1996, 13931, 1997, 3906, 2021, 2648, 3906, 1010, 1999, 1996, 2557, 5975, 2008, 8187, 2083, 1996, 2303, 1998, 3965, 1996, 2592, 2008, 17367, 2517, 2592, 1012, 1999, 2010, 5038, 1997, 2557, 20846, 2100, 1998, 8060, 6823, 2004, 4078, 2696, 10264, 6026, 2749, 1010, 25991, 4748, 25932, 1037, 2391, 2145, 6439, 1999, 3824, 4706, 2913, 1024, 1996, 3793, 2515, 2025, 4088, 1999, 1996, 3135, 1997, 1996, 4471, 2030, 1996, 8393, 1010, 1996, 3793, 2003, 2025, 2019, 8392, 2518, 1010, 2878, 2069, 1999, 2049, 2139, 1011, 6123, 8787, 3550, 12477, 2013, 3226, 1010, 1998, 6981, 2024, 2025, 1005, 6970, 18209, 8787, 1005, 1010, 11973, 1998, 2652, 2069, 2007, 1037, 13931, 1997, 3906, 2029, 1996, 14009, 1998, 19278, 2031, 4830, 12820, 1999, 1998, 3005, 12613, 8185, 2027, 2024, 16984, 2007, 1012, 2738, 1010, 1996, 3793, 2004, 2557, 27385, 2030, 8060, 2003, 2019, 1005, 6970, 1011, 2592, 2389, 1005, 3325, 1025, 2592, 5352, 2296, 2117, 2083, 2296, 3538, 1997, 1996, 7224, 1012, 2557, 16535, 2015, 1010, 18302, 2015, 1010, 7755, 1010, 23894, 1010, 5871, 21670, 1010, 2510, 14549, 1010, 3526, 11640, 1010, 8249, 1010, 9949, 14164, 2522, 9236, 2075, 2105, 1998, 2083, 2149, 2066, 3806, 1012, 2009, 2003, 16542, 2000, 3584, 1996, 3325, 1997, 1996, 2517, 2773, 2013, 7107, 2592, 1011, 2517, 2653, 9537, 2592, 2008, 2003, 2550, 1998, 8590, 6974, 1012, 2616, 2024, 2025, 2477, 1999, 3209, 1012, 1999, 2019, 3720, 2013, 1996, 3485, 1005, 2695, 5302, 25888, 3226, 1005, 4709, 1005, 2653, 2041, 1997, 2653, 1024, 4654, 3540, 26477, 1996, 6147, 1997, 3226, 9389, 6562, 1998, 2695, 5302, 25888, 16841, 2013, 2520, 1055, 1012, 25991, 1005, 1010, 24241, 6927, 5495, 10649, 2368, 9005, 2019, 4559, 2090, 1996, 4331, 1997, 25991, 2937, 1005, 3226, 1011, 9389, 6562, 1005, 1998, 2054, 2002, 4455, 1000, 9780, 2082, 10089, 1012, 1000, 1999, 2010, 2616, 1024, 1000, 1996, 6147, 1997, 9780, 2082, 10089, 2064, 2022, 5860, 25896, 1999, 1005, 1996, 3226, 3068, 1024, 16724, 2004, 3742, 17575, 1000, 1010, 1999, 2029, 7570, 8024, 18826, 1998, 4748, 26295, 15454, 1996, 4331, 2140, 13433, 18719, 14454, 7368, 1997, 2396, 1999, 2225, 2121, 2554, 2006, 1996, 5286, 2008, 6396, 3742, 1011, 2550, 12465, 2003, 4012, 24759, 28775, 2102, 1999, 1996, 3040, 5675, 1997, 2537, 1010, 2130, 2043, 2009, 4740, 2000, 21296, 2019, 6585, 15152, 1012, 1012, 2151, 15152, 2008, 17257, 1999, 1996, 5675, 1998, 6786, 1997, 2537, 1011, 2053, 2080, 3043, 2129, 6208, 2030, 7490, 2008, 15152, 2089, 4025, 2000, 2022, 1011, 24964, 14213, 1996, 2200, 2291, 2009, 8069, 2000, 4119, 2030, 11265, 5867, 1012, 1000, 5495, 10649, 2368, 6083, 2008, 1996, 9887, 7333, 1999, 1996, 7281, 2008, 9913, 3073, 2019, 3927, 2041, 1997, 1000, 9780, 2082, 8715, 1000, 1012, 1996, 6846, 11240, 3659, 13165, 2011, 4372, 26775, 22571, 3436, 2009, 2046, 1996, 2773, 1011, 2029, 25991, 14678, 19428, 2149, 2003, 2941, 1037, 7865, 1012, 1006, 2295, 2023, 2001, 2028, 1997, 25991, 1005, 5440, 4608, 8458, 23797, 2015, 1010, 1996, 2801, 2008, 1000, 2653, 2003, 1037, 7865, 1000, 2003, 2062, 1998, 2062, 26478, 6820, 4765, 2007, 3824, 4045, 4275, 1011, 1011, 2172, 1997, 25991, 1005, 2125, 1996, 2813, 23617, 2015, 2055, 1996, 23760, 1011, 2565, 24088, 2110, 1997, 1996, 2568, 1998, 11698, 3111, 2013, 6819, 13153, 15707, 1011, 1011, 2029, 6773, 1996, 2529, 4167, 2004, 1037, 3962, 1997, 18962, 1998, 1999, 14081, 3370, 2738, 2084, 11581, 4034, 1011, 2024, 3569, 2011, 2033, 11368, 6558 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3806, 12412, 4064, 2075, 2003, 1037, 7371, 12222, 2832, 1010, 2029, 2003, 5105, 2011, 1037, 2193, 1997, 19389, 1006, 1041, 1012, 1043, 1012, 1010, 2938, 2666, 3723, 1998, 6911, 1007, 1998, 4130, 7361, 10536, 20763, 9966, 1006, 1041, 1012, 1043, 1012, 1010, 8392, 11265, 10976, 20166, 1010, 5970, 1998, 5850, 1007, 6194, 1012, 3806, 12412, 4064, 2075, 2913, 2024, 2734, 2005, 2488, 4824, 1997, 2122, 10266, 1010, 1998, 2024, 2036, 2019, 2590, 6994, 1999, 1996, 2458, 1997, 5850, 2005, 2195, 3806, 13181, 18447, 19126, 10840, 1012, 2235, 4176, 2066, 11432, 2030, 12328, 2024, 4703, 2109, 1999, 4130, 7361, 10536, 20763, 9966, 1998, 6887, 27292, 22684, 9966, 2913, 1010, 2021, 2913, 1997, 3806, 12412, 9587, 18724, 2024, 22532, 2011, 1996, 3768, 1997, 2019, 4089, 12711, 1998, 9377, 3085, 3806, 12412, 4064, 2075, 3231, 2005, 2122, 4275, 1012, 3365, 8107, 2031, 2042, 2988, 2005, 23208, 3806, 12412, 4064, 2075, 1999, 11432, 1012, 1996, 2087, 4703, 2109, 7709, 3774, 1997, 9312, 1997, 12115, 8417, 1999, 2536, 3806, 13181, 18447, 19126, 4573, 2044, 17266, 3089, 8873, 6129, 1996, 4111, 1012, 1031, 1030, 29491, 1033, 1011, 1031, 1030, 1038, 2549, 1033, 2023, 6028, 2003, 4450, 1011, 11806, 1998, 5942, 1037, 2312, 2193, 1997, 4176, 2005, 2169, 5115, 16227, 2051, 2391, 1010, 2000, 14358, 1996, 15850, 6622, 1997, 3806, 12412, 4064, 2075, 1012, 2060, 2913, 2109, 7642, 2030, 3313, 16227, 8853, 1999, 2029, 3806, 12412, 3872, 2001, 4358, 2011, 2004, 16781, 1997, 3806, 12412, 8417, 1012, 1031, 1030, 1038, 2629, 1033, 1011, 1031, 1030, 1038, 2581, 1033, 5834, 2006, 1996, 6028, 2109, 1010, 5567, 11702, 1999, 1996, 2168, 4111, 2024, 2825, 2119, 2076, 1037, 2309, 6388, 5219, 1998, 2058, 2195, 6388, 6521, 1012, 2174, 1010, 2023, 3921, 2038, 2195, 20502, 2015, 1012, 2034, 1010, 1996, 6028, 2064, 2069, 5468, 6381, 3806, 12412, 8417, 1012, 2117, 1010, 5567, 8304, 1997, 1996, 4111, 2003, 3223, 2005, 16021, 28345, 3370, 1998, 7233, 1997, 1996, 3231, 7954, 2083, 8700, 11721, 3567, 3351, 2030, 3081, 2019, 27427, 4381, 2075, 3806, 12412, 2064, 7068, 1010, 1998, 8304, 2003, 2124, 2000, 3623, 12123, 2522, 28228, 19454, 1998, 4937, 15937, 6030, 11233, 2015, 1010, 1031, 1030, 1038, 2620, 1033, 2437, 6911, 1037, 9280, 7882, 9530, 14876, 8630, 2075, 5387, 1012, 2353, 1010, 5970, 2003, 3223, 2000, 16500, 2019, 27427, 4381, 2075, 3806, 12412, 2064, 7068, 1999, 2070, 1997, 2122, 5461, 1012, 21234, 3802, 2632, 1031, 1030, 1038, 2683, 1033, 7645, 2008, 2130, 3576, 21419, 5970, 3303, 8394, 3806, 12412, 4064, 2075, 2005, 2039, 2000, 1016, 2706, 2044, 5001, 10464, 20389, 2100, 1012, 16596, 16778, 14773, 4725, 1010, 1996, 2751, 3115, 1999, 4286, 1010, 2024, 2036, 2988, 1999, 11432, 1012, 1031, 1030, 1038, 2683, 1033, 1011, 1031, 1030, 29491, 2487, 1033, 2122, 5461, 9125, 1996, 2224, 1997, 6450, 3941, 1998, 13749, 4355, 3258, 1997, 17669, 28846, 2015, 1012, 2027, 2036, 5478, 10047, 5302, 14454, 3989, 1997, 1996, 9350, 1010, 2593, 2011, 6228, 2030, 5072, 28054, 1010, 2119, 1997, 2029, 2064, 3747, 3806, 12412, 4064, 2075, 1012, 10047, 5302, 14454, 3989, 2003, 4072, 2000, 5441, 1037, 5377, 3292, 1997, 1996, 12115, 1011, 7954, 2000, 1996, 13091, 4950, 1010, 1999, 2344, 2000, 4468, 28616, 18447, 2121, 28139, 3436, 3431, 1999, 2012, 6528, 14505, 1997, 1996, 13091, 11768, 2004, 3431, 1999, 20125, 1997, 2557, 18908, 7730, 1012, 1031, 1030, 29491, 2475, 1033, 1996, 2556, 2817, 2001, 2864, 2000, 15581, 1996, 1034, 2403, 1034, 1039, 1011, 13323, 6761, 3686, 5024, 3806, 12412, 4064, 2075, 3052, 3231, 1010, 1031, 1030, 29491, 2509, 1033, 1010, 1031, 1030, 29491, 2549, 1033, 2005, 4646, 1999, 11432, 1998, 2000, 9398, 3686, 2009, 2114, 1037, 22229, 15459, 3775, 14773, 4118, 1012, 1996, 12637, 1997, 1037, 3052, 3231, 2058, 22229, 15459, 3775, 12565, 8676, 1999, 1996, 2224, 1997, 2625, 6450, 3941, 1998, 1999, 1996, 2625, 9384, 10047, 5302, 14454, 3989, 5918, 1012, 2714, 2000, 16596, 16778, 12565, 1010, 1996, 3231, 7954, 2064, 2022, 5024, 1998, 23150, 1996, 5512, 1997, 1037, 3671, 8738, 1025, 1996, 3231, 2003, 2036, 9377, 3085, 1012, 1996, 3052, 3231, 3138, 5056, 1997, 1996, 6459, 1997, 13323, 6761, 2594, 5648, 1010, 2019, 1022, 1011, 4677, 19101, 5648, 1012, 1031, 1030, 29491, 2629, 1033, 1011, 1031, 1030, 29491, 2620, 1033, 2023, 13922, 2003, 13135, 2135, 1998, 5901, 9063, 2011, 1996, 20014, 19126, 2021, 2025, 1996, 3806, 12412, 14163, 13186, 2050, 1010, 9687, 2302, 3188, 28517, 3089, 10803, 3081, 1996, 9445, 12818, 2000, 1996, 11290, 1998, 23060, 28173, 5422, 2000, 1034, 2403, 1034, 2522, 1066, 1016, 1066, 1012, 1996, 3446, 2012, 2029, 1034, 2403, 1034, 2522, 1066, 1016, 1066, 2003, 13735, 1010, 2003, 3568, 14267, 2000, 1996, 3446, 1997, 5508, 1999, 1996, 20014, 4355, 3170, 1012, 4475, 1998, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3231, 7954, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 3231, 7954, 1010, 2029, 2001, 20229, 4810, 2006, 1996, 2154, 1997, 1996, 3231, 1010, 5031, 1997, 1014, 1012, 1019, 1043, 13501, 8288, 10930, 13687, 1012, 2023, 2001, 2079, 5669, 2007, 1017, 11338, 2072, 1034, 5585, 2213, 1034, 22975, 1011, 2201, 2378, 8902, 27710, 1006, 11087, 6627, 8713, 5004, 1010, 16007, 8950, 14127, 2102, 2966, 1010, 9004, 6528, 1010, 1996, 4549, 1007, 1010, 1016, 1085, 6895, 1034, 2403, 1034, 1039, 1011, 13323, 6761, 2594, 5648, 1010, 1998, 13365, 5474, 1006, 22848, 1010, 11265, 2078, 2470, 1010, 3731, 1010, 5003, 1010, 3915, 1007, 1998, 2059, 17776, 1012, 3525, 1010, 1996, 17776, 10930, 13687, 2001, 3816, 2007, 1023, 1012, 1019, 1043, 3115, 9350, 20209, 1006, 24125, 2475, 14163, 22648, 2239, 1043, 1010, 17490, 2890, 3597, 5706, 1050, 2615, 1010, 8991, 2102, 1010, 5706, 1007, 1012, 11112, 2300, 1006, 1015, 1024, 1015, 1007, 2001, 2794, 2000, 2433, 1037, 24004, 6914, 3560, 19351, 1006, 6638, 1020, 1012, 2656, 1003, 1010, 2482, 5092, 10536, 7265, 4570, 3943, 1012, 6421, 1003, 1010, 8171, 2322, 1012, 6391, 1003, 1998, 1015, 1012, 4261, 21117, 2389, 1013, 1043, 1007, 1012, 1996, 19351, 2001, 4055, 1999, 4862, 28940, 12868, 1997, 1014, 1012, 1019, 1043, 1012, 2013, 3025, 1006, 19106, 1007, 9420, 2057, 2354, 2008, 2023, 3815, 2001, 5901, 13749, 17944, 2011, 2087, 4176, 2044, 2019, 11585, 3435, 1012, 4176, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3174, 1011, 2416, 3287, 15536, 14117, 11432, 1006, 5539, 1011, 4278, 1043, 1007, 2020, 7431, 1999, 7318, 1011, 20437, 3953, 27157, 1999, 1037, 7775, 3229, 2282, 2007, 1037, 2260, 1011, 3178, 2422, 1011, 2601, 5402, 1012, 3115, 5911, 9350, 20209, 2001, 2800, 4748, 5622, 16313, 2819, 2127, 1996, 2305, 2077, 1996, 3231, 1010, 2043, 2009, 2001, 3718, 1012, 11112, 2300, 2001, 10350, 2800, 2012, 2035, 2335, 1010, 3272, 2076, 1996, 3231, 1012, 3231, 8853, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1001, 1001, 1001, 8778, 1015, 1024, 3115, 3052, 3231, 4064, 2075, 8778, 2044, 2019, 11585, 3435, 1010, 2184, 11432, 27491, 8823, 1996, 1014, 1012, 1019, 1043, 3231, 7954, 1010, 2096, 1018, 11432, 2020, 2445, 1014, 1012, 1019, 1043, 1997, 1996, 3231, 7954, 2011, 11721, 3567, 3351, 1012, 3202, 2044, 13749, 4355, 3258, 1997, 1996, 3231, 7954, 1010, 1996, 9350, 2001, 2872, 1999, 2019, 2250, 26143, 11661, 2083, 2029, 1037, 7142, 2250, 12314, 1006, 3770, 1003, 1050, 1066, 1016, 1066, 1998, 2322, 1003, 1051, 1066, 1016, 1066, 1007, 1997, 1014, 1012, 1019, 19875, 1013, 8117, 2001, 5224, 1006, 1031, 20965, 1012, 1015, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 1996, 9646, 1997, 1996, 11661, 1006, 6705, 1020, 4642, 1998, 3091, 2603, 4642, 1007, 2020, 4217, 2000, 3499, 2830, 1998, 8848, 5750, 1997, 1996, 9350, 5819, 4363, 1996, 4308, 1011, 4950, 3292, 4659, 5377, 1012, 1996, 11661, 2001, 2872, 2006, 1037, 2309, 2132, 13091, 4950, 1006, 6887, 2080, 1013, 13091, 4921, 1010, 2712, 20927, 1010, 4517, 3190, 2407, 1010, 4078, 5810, 2229, 1010, 6335, 1010, 3915, 1007, 1012, 1996, 3806, 2041, 12314, 1997, 1996, 11661, 2001, 11957, 2094, 2083, 1037, 7270, 3561, 2007, 1037, 5576, 4820, 1016, 3461, 4747, 1044, 14852, 3170, 18479, 19491, 1010, 1037, 2522, 1066, 1016, 1066, 1011, 8132, 4842, 1010, 1998, 15177, 5302, 14277, 11039, 15238, 3170, 2004, 17245, 1012, 21933, 10626, 3370, 1997, 1996, 8331, 5393, 2938, 18924, 2007, 2522, 1066, 1016, 1066, 1025, 2023, 2196, 4158, 2007, 1037, 16227, 2051, 1997, 1019, 2781, 1010, 3568, 1010, 2035, 1996, 2522, 1066, 1016, 1066, 13735, 2076, 2023, 2051, 2001, 4110, 1012, 8824, 5852, 2007, 1016, 10868, 1999, 2186, 3662, 2008, 2062, 2084, 5345, 3867, 1997, 2522, 1066, 1016, 1066, 2001, 6025, 1999, 1996, 2034, 7270, 1025, 6516, 2069, 1015, 7270, 2001, 2109, 1999, 1996, 2556, 2817, 1012, 1037, 1044, 14852, 3170, 18479, 19491, 7270, 2001, 4198, 2000, 1996, 11661, 2005, 1037, 2558, 1997, 1019, 2781, 2077, 1996, 7954, 1010, 2012, 2296, 1019, 2781, 2076, 1996, 2034, 2431, 3178, 1998, 2296, 2321, 2781, 2005, 1996, 6893, 1997, 1996, 3231, 2558, 1012, 2044, 1996, 3988, 3746, 3202, 2044, 13749, 4355, 3258, 1997, 1996, 3231, 7954, 1010, 4871, 2020, 4663, 2012, 2296, 1019, 2781, 2005, 1996, 2034, 3178, 1010, 2059, 2296, 2184, 2781, 2005, 1996, 2206, 2847, 5834, 2006, 1996, 20594, 1997, 1996, 7954, 2011, 5107, 10569, 1012, 1996, 3231, 2001, 3092, 2043, 2053, 5860, 11795, 7028, 2555, 1997, 3037, 2815, 1999, 1996, 3806, 12412, 2181, 1012, 2011, 2023, 2051, 1010, 1034, 2403, 1034, 2522, 1066, 1016, 1066, 1011, 4654, 16748, 3508, 2001, 5725, 2075, 2125, 2007, 9625, 1997, 2009, 2108, 2525, 2627, 1006, 1031, 20965, 1012, 1016, 1033, 1006, 1001, 1042, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 1001, 1001, 1001, 8778, 1016, 1024, 10047, 5302, 14454, 3989, 8778, 2000, 18478, 28436, 1999, 1996, 16596, 16778, 14773, 2951, 2349, 2000, 12958, 10047, 5302, 14454, 3989, 1010, 1037, 2117, 2186, 1997, 5852, 2020, 2864, 1012, 2044, 2019, 11585, 3435, 1010, 1022, 11432, 27491, 8823, 1996, 1014, 1012, 1019, 1043, 3231, 7954, 2012, 1996, 2168, 5219, 1998, 1015, 9350, 2001, 2445, 1014, 1012, 1019, 1043, 1997, 1996, 3231, 7954, 2011, 11721, 3567, 3351, 1012, 3202, 2044, 13749, 4355, 3258, 1997, 1996, 3231, 7954, 1996, 9350, 2001, 2872, 1999, 1037, 28285, 5080, 1010, 2029, 2001, 12889, 2046, 1996, 2250, 26143, 11661, 1010, 2096, 2635, 2729, 2000, 2562, 1996, 2597, 1997, 2169, 9350, 7235, 1999, 4847, 2000, 1996, 13091, 4950, 1012, 2044, 2019, 3988, 3746, 3202, 2044, 13749, 4355, 3258, 1997, 1996, 3231, 7954, 1010, 4871, 2020, 4663, 2012, 2296, 1019, 2781, 2005, 1996, 2034, 3178, 1010, 2059, 2012, 2296, 2321, 2781, 2005, 1996, 6893, 1997, 1996, 3231, 2558, 1012, 2320, 2077, 1996, 3231, 7954, 1998, 2059, 2296, 1019, 2781, 2076, 1996, 2034, 2431, 3178, 1998, 2296, 2321, 2781, 2005, 1996, 6893, 1997, 1996, 3231, 2558, 1010, 1996, 1044, 14852, 3170, 18479, 19491, 28475, 2001, 4198, 2000, 1996, 11661, 2005, 1037, 2558, 1997, 1019, 2781, 1012, 2153, 1010, 1996, 3231, 2001, 3092, 2043, 2045, 2001, 2053, 2936, 2151, 5860, 11795, 7028, 2555, 1997, 3037, 1999, 1996, 3806, 12412, 2181, 1012, 1001, 1001, 1001, 8778, 1017, 1024, 6887, 27292, 22684, 9966, 8830, 2000, 8556, 1996, 3466, 1997, 23586, 1997, 16480, 20660, 12863, 15823, 1010, 1017, 11432, 2020, 2445, 2012, 18981, 3170, 21396, 24556, 1006, 13201, 5072, 2194, 1010, 2358, 1012, 3434, 1010, 9587, 1010, 3915, 1007, 1997, 1019, 11460, 1013, 4705, 26721, 4842, 9956, 22084, 9215, 2044, 2019, 2058, 1011, 2305, 3435, 1012, 3174, 2781, 5728, 2027, 27491, 8823, 1996, 1014, 1012, 1019, 1043, 3231, 7954, 1012, 1996, 2717, 1997, 1996, 7709, 2001, 7235, 2000, 3231, 1016, 1010, 3272, 2008, 2009, 2001, 12527, 1021, 2847, 2044, 13749, 4355, 3258, 1997, 1996, 3231, 7954, 1012, 2035, 8853, 2020, 4844, 2011, 1996, 4111, 2729, 1998, 2224, 2837, 1997, 1996, 2118, 1012, 4106, 1997, 1996, 1034, 5585, 2213, 1034, 22975, 1011, 2201, 2378, 8902, 27710, 3806, 12412, 20125, 7774, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 2555, 1997, 3037, 2001, 4567, 2005, 2296, 3746, 1998, 2049, 3815, 1997, 2557, 18908, 7730, 2001, 7594, 1006, 11498, 7446, 30108, 1010, 19960, 3022, 7274, 1010, 5754, 19679, 1010, 4174, 1010, 3915, 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, 1026, 1029, 25718, 1013, 1008, 2005, 13202, 3408, 1010, 2156, 1013, 6105, 1012, 19067, 2102, 1008, 1013, 1002, 28744, 6072, 3388, 1027, 2995, 1025, 5478, 1035, 2320, 1035, 1035, 16101, 1035, 1035, 1012, 1005, 1013, 1012, 1012, 1013, 4297, 1013, 3795, 1012, 4297, 1012, 25718, 1005, 1025, 1002, 1060, 22734, 2595, 1027, 2047, 1060, 22734, 2595, 1006, 1007, 1025, 1002, 1060, 22734, 2595, 1011, 1028, 4236, 11263, 27989, 1006, 1005, 3945, 1035, 5198, 1005, 1007, 1025, 1013, 1013, 4292, 1996, 2930, 1006, 2005, 1996, 21628, 2015, 1007, 1002, 2023, 1035, 2930, 1027, 2930, 1035, 4132, 1035, 4748, 10020, 1025, 1002, 8909, 1035, 5219, 1027, 20014, 10175, 1006, 1002, 1035, 2131, 1031, 1005, 8909, 1035, 5219, 1005, 1033, 1007, 1025, 5219, 24805, 4590, 1024, 1024, 4047, 1035, 3836, 1035, 5219, 1035, 10086, 1006, 1002, 8909, 1035, 5219, 1007, 1025, 1013, 1013, 4292, 7852, 26775, 25438, 2015, 2065, 1006, 17928, 1035, 2003, 1035, 4132, 1035, 4748, 10020, 1006, 1007, 1007, 1063, 1002, 6970, 27035, 26775, 25438, 1031, 1033, 1027, 1031, 1005, 24471, 2140, 1005, 1027, 1028, 1005, 5950, 1012, 25718, 1005, 1010, 1005, 2171, 1005, 1027, 1028, 2131, 1035, 11374, 1006, 1005, 3447, 1005, 1007, 1010, 1033, 1025, 1002, 6970, 27035, 26775, 25438, 1031, 1033, 1027, 1031, 1005, 24471, 2140, 1005, 1027, 1028, 1005, 5219, 1035, 2862, 1012, 25718, 1005, 1010, 1005, 2171, 1005, 1027, 1028, 2131, 1035, 11374, 1006, 1005, 5219, 2862, 1005, 1007, 1010, 1033, 1025, 1002, 6970, 27035, 26775, 25438, 1031, 1033, 1027, 1031, 1005, 24471, 2140, 1005, 1027, 1028, 1000, 13746, 1035, 5219, 1012, 25718, 1029, 8909, 1035, 5219, 1027, 1000, 1012, 1002, 8909, 1035, 5219, 1010, 1000, 2171, 1000, 1027, 1028, 2131, 1035, 11374, 1006, 1005, 5219, 19184, 1005, 1007, 1010, 1033, 1025, 1065, 1002, 3499, 8525, 6591, 1027, 17928, 1035, 2131, 1035, 4292, 1006, 1005, 3499, 1035, 14924, 2015, 1035, 2000, 1035, 23911, 1035, 2493, 1035, 2000, 1035, 5219, 1005, 1007, 1025, 1002, 4469, 1035, 2492, 1035, 2862, 1027, 1031, 1033, 1025, 2065, 1006, 1005, 2995, 1005, 1027, 1027, 1002, 3499, 8525, 6591, 1007, 1063, 1013, 1013, 7809, 2795, 15182, 1002, 26419, 2140, 1035, 5219, 1027, 7809, 1024, 1024, 2131, 1035, 2364, 1035, 2795, 1006, 2795, 1035, 2364, 1035, 5219, 1007, 1025, 1002, 26419, 2140, 1035, 2607, 1027, 7809, 1024, 1024, 2131, 1035, 2364, 1035, 2795, 1006, 2795, 1035, 2364, 1035, 2607, 1007, 1025, 1002, 26419, 2140, 1035, 5310, 1027, 7809, 1024, 1024, 2131, 1035, 2364, 1035, 2795, 1006, 2795, 1035, 2364, 1035, 5310, 1007, 1025, 1002, 26419, 2140, 1035, 5219, 1035, 2128, 2140, 1035, 5310, 1027, 7809, 1024, 1024, 2131, 1035, 2364, 1035, 2795, 1006, 2795, 1035, 2364, 1035, 5219, 1035, 5310, 1007, 1025, 1013, 1013, 4292, 1996, 2171, 1997, 1996, 6994, 1002, 6994, 1035, 2171, 1027, 2131, 1035, 11374, 1006, 1005, 4942, 29234, 5198, 2000, 2023, 5219, 1005, 1007, 1025, 1002, 5587, 1035, 2828, 1027, 1005, 4310, 1005, 1025, 2065, 1006, 26354, 3388, 1006, 1002, 1035, 5227, 1031, 1005, 5587, 1035, 2828, 1005, 1033, 1007, 1004, 1004, 1005, 1005, 999, 1027, 1002, 1035, 5227, 1031, 1005, 5587, 1035, 2828, 1005, 1033, 1007, 1063, 1002, 5587, 1035, 2828, 1027, 3036, 1024, 1024, 6366, 1035, 1060, 4757, 1006, 1002, 1035, 5227, 1031, 1005, 5587, 1035, 2828, 1005, 1033, 1007, 1025, 1065, 1002, 3931, 1027, 26354, 3388, 1006, 1002, 1035, 2131, 1031, 1005, 3931, 1005, 1033, 1007, 1029, 3036, 1024, 1024, 6366, 1035, 1060, 4757, 1006, 1002, 1035, 2131, 1031, 1005, 3931, 1005, 1033, 1007, 1024, 19701, 1025, 1013, 1013, 9361, 2005, 4469, 2492, 2007, 11307, 2006, 1002, 4469, 1035, 2492, 1035, 2862, 1027, 5310, 24805, 4590, 1024, 1024, 2131, 1035, 4469, 1035, 4249, 1006, 1007, 1025, 1002, 2047, 1035, 2492, 1035, 2862, 1027, 1031, 1033, 1025, 2065, 1006, 2003, 1035, 9140, 1006, 1002, 4469, 1035, 2492, 1035, 2862, 1007, 1007, 1063, 18921, 6776, 1006, 1002, 4469, 1035, 2492, 1035, 2862, 2004, 1002, 4469, 1035, 2492, 1007, 1063, 1013, 1013, 2065, 2003, 9124, 2000, 11307, 1998, 2003, 1037, 1000, 1026, 7276, 1028, 1000, 2492, 2828, 2065, 1006, 1015, 1027, 1027, 1002, 4469, 1035, 2492, 1031, 1022, 1033, 1004, 1004, 1018, 1027, 1027, 1002, 4469, 1035, 2492, 1031, 1016, 1033, 1007, 1063, 1002, 2047, 1035, 2492, 1035, 2862, 1031, 1033, 1027, 1031, 1005, 2171, 1005, 1027, 1028, 1002, 4469, 1035, 2492, 1031, 1017, 1033, 1010, 1005, 8023, 1005, 1027, 1028, 1002, 4469, 1035, 2492, 1031, 1015, 1033, 1010, 1005, 2951, 1005, 1027, 1028, 1002, 4469, 1035, 2492, 1031, 1023, 1033, 1010, 1033, 1025, 1065, 1065, 1065, 3853, 3945, 1035, 5198, 1006, 1002, 12201, 1010, 1002, 2828, 1007, 1063, 3795, 1002, 8909, 1035, 5219, 1025, 1002, 26419, 2140, 1035, 5310, 1027, 7809, 1024, 1024, 2131, 1035, 2364, 1035, 2795, 1006, 2795, 1035, 2364, 1035, 5310, 1007, 1025, 1002, 26419, 2140, 1035, 5219, 1035, 2128, 2140, 1035, 5310, 1027, 7809, 1024, 1024, 2131, 1035, 2364, 1035, 2795, 1006, 2795, 1035, 2364, 1035, 5219, 1035, 5310, 1007, 1025, 1002, 1060, 22734, 2595, 1035, 3433, 1027, 2047, 1060, 22734, 2595, 6072, 26029, 3366, 1006, 1007, 1025, 1002, 2709, 1027, 1005, 1005, 1025, 2065, 1006, 999, 4064, 1006, 1002, 12201, 1007, 1004, 1004, 999, 4064, 1006, 1002, 2828, 1007, 1007, 1063, 1013, 1013, 3671, 9164, 2065, 1006, 1005, 2151, 1035, 5219, 1005, 1027, 1027, 1002, 2828, 1004, 1004, 1005, 6270, 1005, 1027, 1027, 1002, 12201, 1007, 1063, 1002, 2828, 1027, 1005, 3674, 1005, 1025, 1002, 12201, 1027, 1005, 1005, 1025, 1065, 1013, 1013, 1060, 22734, 2595, 4604, 21183, 2546, 2620, 2951, 2015, 1012, 1012, 1012, 2951, 2015, 1999, 16962, 2064, 2022, 2512, 1011, 21183, 2546, 2620, 2951, 2015, 1002, 25869, 13462, 1027, 17928, 1035, 2131, 1035, 2291, 1035, 17181, 1006, 1007, 1025, 1002, 12201, 1027, 7809, 1024, 1024, 4019, 1035, 5164, 1006, 1002, 12201, 1007, 1025, 1002, 12201, 1027, 17928, 1035, 10463, 1035, 17181, 1006, 1002, 12201, 1010, 1002, 25869, 13462, 1010, 1005, 21183, 2546, 1011, 1022, 1005, 1007, 1025, 1002, 2344, 1035, 11075, 1027, 17928, 1035, 4066, 1035, 2011, 1035, 2034, 1035, 2171, 1006, 1007, 1029, 1005, 2344, 2011, 2034, 18442, 1010, 2197, 18442, 1010, 5310, 18442, 1005, 1024, 1005, 2344, 2011, 2197, 18442, 1010, 2034, 18442, 1010, 5310, 18442, 1005, 1025, 1002, 9530, 2094, 1035, 5310, 1035, 8909, 1027, 1005, 1005, 1025, 1013, 1013, 2069, 2005, 2309, 1004, 3674, 2065, 1006, 1999, 1035, 9140, 1006, 1002, 2828, 1010, 1031, 1005, 2309, 1005, 1010, 1005, 3674, 1005, 1033, 1007, 1007, 1063, 2065, 1006, 999, 4064, 1006, 1002, 8909, 1035, 5219, 1007, 1007, 1063, 1002, 8909, 1035, 5219, 1027, 20014, 10175, 1006, 1002, 8909, 1035, 5219, 1007, 1025, 1013, 1013, 4638, 8909, 1035, 5310, 2013, 5219, 1035, 2128, 2140, 1035, 5310, 2795, 1002, 29296, 1027, 1005, 7276, 5310, 1035, 8909, 2013, 1005, 1012, 1002, 26419, 2140, 1035, 5219, 1035, 2128, 2140, 1035, 5310, 1012, 1005, 2073, 5219, 1035, 8909, 1027, 1000, 1005, 1012, 1002, 8909, 1035, 5219, 1012, 1005, 1000, 1998, 7189, 1035, 2828, 1026, 1028, 1005, 1012, 5219, 1035, 7189, 1035, 2828, 1035, 25269, 23644, 1012, 1005, 1005, 1025, 1002, 24501, 1027, 7809, 1024, 1024, 23032, 1006, 1002, 29296, 1007, 1025, 1002, 5310, 1035, 8909, 2015, 1027, 1031, 1033, 1025, 2065, 1006, 7809, 1024, 1024, 16371, 2213, 1035, 10281, 1006, 1002, 24501, 1007, 1028, 1014, 1007, 1063, 2096, 1006, 1002, 5216, 1027, 7809, 1024, 1024, 18584, 1035, 5216, 1006, 1002, 24501, 1007, 1007, 1063, 1002, 5310, 1035, 8909, 2015, 1031, 1033, 1027, 1006, 20014, 1007, 1002, 5216, 1031, 1014, 1033, 1025, 1065, 1065, 2065, 1006, 4175, 1006, 1002, 5310, 1035, 8909, 2015, 1007, 1028, 1014, 1007, 1063, 1002, 9530, 2094, 1035, 5310, 1035, 8909, 1027, 1005, 1998, 5310, 1012, 5310, 1035, 8909, 2025, 1999, 1006, 1005, 1012, 17727, 4135, 3207, 1006, 1000, 1010, 1000, 1010, 1002, 5310, 1035, 8909, 2015, 1007, 1012, 1005, 1007, 1005, 1025, 1065, 1065, 1065, 6942, 1006, 1002, 2828, 1007, 1063, 2553, 1005, 2309, 1005, 1024, 1013, 1013, 3945, 5198, 2073, 5310, 18442, 2030, 2034, 18442, 2030, 2197, 18442, 4269, 7777, 1002, 12201, 1002, 29296, 1027, 1005, 7276, 5310, 1012, 5310, 1035, 8909, 1010, 5310, 18442, 1010, 2197, 18442, 1010, 2034, 18442, 2013, 1005, 1012, 1002, 26419, 2140, 1035, 5310, 1012, 1005, 5310, 2073, 1006, 5310, 18442, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 2030, 2034, 18442, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 2030, 2197, 18442, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 1007, 1998, 5310, 1012, 3570, 1026, 1028, 1020, 1998, 5310, 1012, 3570, 1026, 1028, 1005, 1012, 2852, 2232, 1012, 1005, 1005, 1012, 1002, 2344, 1035, 11075, 1012, 1005, 5787, 2340, 1005, 1025, 3338, 1025, 2553, 1005, 3674, 1005, 1024, 1002, 29296, 1027, 1005, 7276, 5310, 1012, 5310, 1035, 8909, 1010, 5310, 18442, 1010, 2197, 18442, 1010, 2034, 18442, 2013, 1005, 1012, 1002, 26419, 2140, 1035, 5310, 1012, 1005, 5310, 2073, 1005, 1012, 1006, 17928, 1035, 4066, 1035, 2011, 1035, 2034, 1035, 2171, 1006, 1007, 1029, 1005, 2034, 18442, 1005, 1024, 1005, 2197, 18442, 1005, 1007, 1012, 1005, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 1998, 5310, 1012, 3570, 1026, 1028, 1005, 1012, 2852, 2232, 1012, 1005, 1998, 5310, 1012, 3570, 1026, 1028, 1020, 1005, 1012, 1002, 9530, 2094, 1035, 5310, 1035, 8909, 1012, 1002, 2344, 1035, 11075, 1025, 3338, 1025, 2553, 1005, 2151, 1035, 5219, 1005, 1024, 1002, 29296, 1027, 1005, 7276, 5664, 5310, 1012, 5310, 1035, 8909, 1010, 5310, 18442, 1010, 2197, 18442, 1010, 2034, 18442, 2013, 1005, 1012, 1002, 26419, 2140, 1035, 5310, 1012, 1005, 5310, 2187, 6058, 3693, 1005, 1012, 1002, 26419, 2140, 1035, 5219, 1035, 2128, 2140, 1035, 5310, 1012, 1005, 1055, 2006, 1006, 1055, 1012, 5310, 1035, 8909, 1027, 5310, 1012, 5310, 1035, 8909, 1007, 2073, 1055, 1012, 5310, 1035, 8909, 2003, 19701, 1998, 5310, 1012, 3570, 1026, 1028, 1005, 1012, 2852, 2232, 1012, 1005, 1998, 5310, 1012, 3570, 1026, 1028, 1020, 1005, 1012, 1002, 9530, 2094, 1035, 5310, 1035, 8909, 1012, 1002, 2344, 1035, 11075, 1025, 3338, 1025, 1065, 2065, 1006, 17928, 1035, 2003, 1035, 3674, 1035, 24471, 2140, 1035, 9124, 1006, 1007, 1007, 1063, 1002, 26419, 2140, 1035, 5310, 1035, 2128, 2140, 1035, 3229, 1035, 24471, 2140, 1027, 7809, 1024, 1024, 2131, 1035, 2364, 1035, 2795, 1006, 2795, 1035, 2364, 1035, 3229, 1035, 24471, 2140, 1035, 2128, 2140, 1035, 5310, 1007, 1025, 1002, 3229, 1035, 24471, 2140, 1035, 8909, 1027, 17928, 1035, 2131, 1035, 2783, 1035, 3229, 1035, 24471, 2140, 1035, 8909, 1006, 1007, 1025, 2065, 1006, 1011, 1015, 999, 1027, 1002, 3229, 1035, 24471, 2140, 1035, 8909, 1007, 1063, 6942, 1006, 1002, 2828, 1007, 1063, 2553, 1005, 2309, 1005, 1024, 1002, 29296, 1027, 1005, 7276, 5310, 1012, 5310, 1035, 8909, 1010, 5310, 18442, 1010, 2197, 18442, 1010, 2034, 18442, 2013, 1005, 1012, 1002, 26419, 2140, 1035, 5310, 1012, 1005, 5310, 5110, 3693, 1005, 1012, 1002, 26419, 2140, 1035, 5310, 1035, 2128, 2140, 1035, 3229, 1035, 24471, 2140, 1012, 1005, 24471, 2140, 1035, 5310, 2006, 1006, 24471, 2140, 1035, 5310, 1012, 5310, 1035, 8909, 1027, 5310, 1012, 5310, 1035, 8909, 1007, 2073, 3229, 1035, 24471, 2140, 1035, 8909, 1027, 1005, 1012, 1002, 3229, 1035, 24471, 2140, 1035, 8909, 1012, 1005, 1998, 1006, 5310, 18442, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 2030, 2034, 18442, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 2030, 2197, 18442, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 1007, 1998, 5310, 1012, 3570, 1026, 1028, 1020, 1998, 5310, 1012, 3570, 1026, 1028, 1005, 1012, 2852, 2232, 1012, 1005, 1005, 1012, 1002, 2344, 1035, 11075, 1012, 1005, 5787, 2340, 1005, 1025, 3338, 1025, 2553, 1005, 3674, 1005, 1024, 1002, 29296, 1027, 1005, 7276, 5310, 1012, 5310, 1035, 8909, 1010, 5310, 18442, 1010, 2197, 18442, 1010, 2034, 18442, 2013, 1005, 1012, 1002, 26419, 2140, 1035, 5310, 1012, 1005, 5310, 5110, 3693, 1005, 1012, 1002, 26419, 2140, 1035, 5310, 1035, 2128, 2140, 1035, 3229, 1035, 24471, 2140, 1012, 1005, 24471, 2140, 1035, 5310, 2006, 1006, 24471, 2140, 1035, 5310, 1012, 5310, 1035, 8909, 1027, 5310, 1012, 5310, 1035, 8909, 1007, 2073, 3229, 1035, 24471, 2140, 1035, 8909, 1027, 1005, 1012, 1002, 3229, 1035, 24471, 2140, 1035, 8909, 1012, 1005, 1998, 1005, 1012, 1006, 17928, 1035, 4066, 1035, 2011, 1035, 2034, 1035, 2171, 1006, 1007, 1029, 1005, 2034, 18442, 1005, 1024, 1005, 2197, 18442, 1005, 1007, 1012, 1005, 2066, 1000, 1005, 1012, 1002, 12201, 1012, 1005, 1003, 1000, 1998, 5310, 1012, 3570, 1026, 1028, 1005, 1012, 2852, 2232, 1012, 1005, 1998, 5310, 1012, 3570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1063, 1001, 10819, 2487, 1011, 1015, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 6888, 27790, 2099, 2003, 1996, 2744, 2109, 2005, 1996, 6074, 2029, 2024, 6179, 1999, 1996, 3949, 1997, 29398, 10840, 1012, 2174, 1010, 1996, 6210, 1997, 2023, 2465, 1997, 5850, 2003, 2025, 2664, 3876, 1012, 2070, 6950, 1013, 9349, 7066, 21573, 1996, 2224, 1996, 2744, 6888, 27790, 2099, 2005, 6074, 1010, 2029, 2031, 21150, 1999, 8161, 1996, 6075, 2030, 18976, 1997, 2536, 2828, 1997, 4178, 1999, 29398, 8761, 2302, 4788, 5582, 1996, 6075, 2030, 18976, 1997, 2060, 4127, 1997, 4178, 1012, 1032, 1031, 1031, 1030, 25416, 2487, 1033, 1031, 1030, 25416, 2475, 1033, 1031, 1030, 25416, 2509, 1033, 1032, 1033, 11914, 1010, 3424, 3207, 20110, 11390, 1010, 2029, 2064, 19653, 23624, 2278, 6942, 1998, 5171, 3424, 18075, 9905, 14606, 1010, 2029, 2024, 3491, 2000, 4788, 2078, 2139, 27484, 8030, 2052, 2025, 26268, 2004, 6888, 27790, 2869, 1012, 2006, 1996, 2060, 2192, 1010, 2070, 6048, 4225, 6888, 27790, 2869, 2004, 6074, 2008, 2031, 21150, 1999, 12318, 2119, 23624, 2278, 1998, 2139, 27484, 8030, 1012, 1032, 1031, 1031, 1030, 25416, 2549, 1033, 1032, 1033, 17838, 1998, 11857, 3678, 1032, 1031, 1031, 1030, 25416, 2629, 1033, 1032, 1033, 4423, 2023, 6210, 1998, 4225, 6888, 27790, 2099, 2004, 2019, 4005, 1010, 2029, 2038, 21150, 1999, 3949, 1997, 11325, 23624, 2278, 8030, 1010, 11325, 2139, 27484, 8030, 1998, 2064, 4652, 2458, 1997, 23624, 2278, 1998, 2139, 27484, 8030, 1012, 1032, 1031, 1031, 1030, 25416, 2629, 1033, 1032, 1033, 2348, 1996, 6210, 2003, 2025, 3876, 1010, 6888, 27790, 2869, 2024, 4141, 5319, 2004, 6074, 2008, 2024, 6179, 2005, 3949, 1997, 11325, 4178, 1006, 23624, 2278, 2030, 2139, 27484, 1007, 1998, 9740, 1997, 2128, 2721, 29251, 2030, 28667, 3126, 24413, 1997, 8030, 1010, 2302, 4788, 5582, 1997, 8030, 1997, 2593, 11508, 3012, 1012, 1999, 3522, 2335, 1010, 2116, 5850, 2031, 2042, 16330, 2004, 6888, 27790, 2869, 1012, 1996, 2744, 6888, 27790, 2869, 2003, 3262, 2109, 1999, 7189, 2000, 22157, 1010, 3424, 8663, 19722, 4877, 11390, 2066, 11748, 21572, 3686, 1010, 2482, 3676, 2863, 4371, 19265, 1010, 23060, 10010, 3676, 4371, 19265, 1010, 16983, 4140, 3089, 11528, 2063, 1010, 2327, 7895, 8585, 1010, 11721, 3676, 11837, 7629, 4385, 1012, 1010, 1998, 2012, 22571, 7476, 3424, 18075, 9905, 4588, 2066, 19330, 16076, 19265, 1010, 15544, 17668, 28201, 2063, 1010, 10861, 10711, 19265, 1010, 14101, 8180, 28201, 2063, 1010, 1998, 10488, 8197, 18098, 10936, 9890, 1012, 2070, 2060, 5850, 2066, 18856, 7856, 4371, 4502, 2213, 1010, 13853, 3149, 3796, 2545, 4385, 1012, 1010, 2031, 2036, 2042, 16330, 2004, 6888, 27790, 2869, 1012, 1999, 2023, 3259, 1010, 1996, 6048, 2052, 5787, 2000, 2224, 1997, 22157, 1010, 3424, 8663, 19722, 4877, 11390, 1010, 2012, 22571, 7476, 3424, 18075, 9905, 4588, 1998, 17770, 7716, 2401, 4371, 19265, 2015, 1999, 5739, 2007, 29398, 10840, 1012, 29398, 8761, 1024, 3891, 1997, 28667, 3126, 24413, 2076, 10032, 1998, 2695, 19362, 11667, 1063, 1001, 10819, 2487, 1011, 1016, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 29398, 8761, 2003, 2641, 1037, 5729, 5177, 8761, 2008, 2788, 4627, 1999, 2397, 13496, 1998, 2220, 18946, 1998, 2003, 7356, 2011, 4178, 1997, 29310, 1010, 6245, 1010, 1044, 22571, 20778, 2401, 1998, 3816, 4178, 1012, 1996, 8761, 2038, 5020, 20272, 1999, 2119, 5907, 2015, 1012, 2308, 2024, 6086, 2000, 1996, 3891, 1997, 2019, 2792, 2802, 2037, 15124, 2166, 2138, 1997, 2049, 2287, 1997, 14447, 1010, 1032, 1031, 1031, 1030, 25416, 2575, 1033, 1032, 1033, 1996, 3247, 2000, 2644, 5850, 2043, 2308, 2007, 29398, 8761, 2468, 6875, 2030, 2933, 2000, 9530, 3401, 3512, 2003, 3697, 1012, 1996, 12318, 18146, 2015, 1997, 2107, 5022, 2227, 1996, 4119, 1997, 2383, 2000, 18478, 1996, 3891, 2000, 1996, 10768, 5809, 1010, 2096, 2012, 1996, 2168, 2051, 1010, 14879, 1996, 4254, 1997, 11062, 22822, 17062, 3012, 1012, 5022, 1998, 2037, 9349, 7066, 2036, 2227, 1996, 4507, 2008, 6567, 2593, 2000, 2224, 2030, 2025, 2000, 2224, 18224, 13181, 24330, 20992, 2064, 2022, 3378, 2007, 12763, 1012, 6516, 1010, 16228, 2004, 2000, 2054, 17367, 1037, 9608, 3891, 2076, 10032, 5942, 4207, 5368, 1010, 2021, 1996, 7209, 3247, 16626, 2007, 1996, 6727, 5776, 1012, 2913, 2031, 3491, 2008, 2931, 5022, 2007, 29398, 8761, 2024, 2012, 2152, 3891, 1997, 2128, 2721, 29251, 1997, 8030, 2076, 1996, 10032, 1032, 1031, 1031, 1030, 25416, 2581, 1033, 1031, 1030, 25416, 2620, 1033, 1031, 1030, 25416, 2683, 1033, 1032, 1033, 1998, 2220, 2695, 19362, 11667, 2558, 1012, 1032, 1031, 1031, 1030, 25416, 10790, 1033, 1031, 1030, 25416, 14526, 1033, 1031, 1030, 25416, 12521, 1033, 1031, 1030, 25416, 17134, 1033, 1032, 1033, 1996, 3891, 1997, 2128, 2721, 29251, 2076, 10032, 2038, 2042, 4358, 2000, 2022, 2753, 1003, 2030, 2062, 1010, 1032, 1031, 1031, 1030, 25416, 2581, 1033, 1031, 1030, 25416, 2620, 1033, 1031, 1030, 25416, 2683, 1033, 1032, 1033, 2007, 28667, 3126, 24413, 3891, 2988, 2000, 2022, 1016, 1012, 1017, 2335, 3020, 2044, 12532, 16778, 11231, 3370, 1997, 6888, 27790, 2099, 1012, 1999, 1037, 17464, 2817, 1010, 2009, 2001, 2179, 2008, 2308, 2040, 8944, 1996, 6888, 27790, 2099, 2985, 2055, 2871, 1003, 1997, 1996, 2051, 1997, 10032, 1999, 4178, 4102, 2000, 1022, 1012, 1022, 1003, 1997, 2051, 2985, 2011, 2216, 2040, 2506, 6888, 27790, 2099, 1012, 2009, 2001, 2036, 10358, 2008, 1996, 28667, 3126, 24413, 3891, 2001, 3020, 1998, 3041, 2044, 5915, 12532, 16778, 11231, 3370, 1997, 6888, 27790, 2099, 1012, 1996, 6048, 2036, 2179, 2008, 2308, 1010, 2040, 2018, 3920, 2287, 1997, 14447, 1010, 2936, 9367, 1997, 7355, 1010, 2062, 2193, 1997, 3025, 4178, 1010, 2381, 1997, 5915, 9670, 1010, 5920, 4740, 1010, 3378, 18609, 15185, 3593, 10840, 1998, 3424, 3207, 20110, 4630, 2224, 1010, 2018, 3020, 3382, 1997, 28667, 3126, 24413, 2076, 1996, 10032, 1012, 3949, 12532, 16778, 11231, 3370, 1998, 3424, 3207, 20110, 4630, 2224, 2815, 2004, 2981, 3891, 5876, 2130, 2044, 19158, 2005, 2060, 3891, 5876, 1012, 1032, 1031, 1031, 1030, 25416, 2683, 1033, 1032, 1033, 2007, 7634, 2000, 1996, 2695, 19362, 11667, 3891, 1010, 2913, 2031, 3491, 2008, 2871, 1011, 1011, 3963, 1003, 1997, 4895, 7913, 4383, 29398, 2308, 2089, 3325, 2695, 19362, 11667, 2792, 1012, 1032, 1031, 1031, 1030, 25416, 16932, 1033, 1032, 1033, 2009, 2003, 2036, 2124, 2008, 1996, 3891, 1997, 2695, 19362, 11667, 2128, 2721, 29251, 2003, 2152, 1999, 2216, 2040, 12532, 16778, 11231, 2063, 17678, 29598, 28804, 3949, 1012, 1032, 1031, 1031, 1030, 25416, 17134, 1033, 1032, 1033, 4022, 10831, 1997, 6887, 27292, 22684, 20900, 1999, 10032, 1999, 29398, 10840, 1063, 1001, 10819, 2487, 1011, 1017, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2005, 5793, 12962, 4436, 1010, 2009, 2003, 2025, 2825, 2000, 6204, 6721, 3550, 2173, 5092, 4758, 2913, 2006, 14667, 3808, 1999, 6875, 1998, 18749, 29336, 2075, 2308, 1012, 2087, 1997, 1996, 2592, 2055, 1996, 15124, 3808, 1997, 5850, 2003, 5173, 2013, 2553, 4311, 1010, 2553, 2186, 1010, 1998, 15354, 2913, 1012, 2200, 2261, 2913, 9125, 17464, 2640, 1012, 6516, 1010, 3716, 4953, 1996, 10831, 1997, 3653, 19833, 2389, 7524, 2000, 18224, 13181, 24330, 20992, 3464, 2521, 2013, 3143, 1012, 2009, 2003, 10358, 2008, 2035, 18224, 13181, 24330, 20992, 28105, 2408, 1996, 2173, 12380, 1010, 2029, 14451, 2015, 1996, 10768, 5809, 2000, 2070, 3014, 1997, 3891, 1012, 1032, 1031, 1031, 1030, 25416, 16068, 1033, 1032, 1033, 1999, 1996, 2627, 1010, 1996, 3896, 1997, 18224, 21890, 17830, 25778, 20734, 1996, 2527, 13046, 2001, 7580, 6936, 1999, 1996, 6123, 1997, 2037, 3891, 2076, 1996, 2034, 12241, 20367, 2043, 5812, 4195, 5158, 1010, 2009, 2003, 2085, 3858, 2008, 18224, 13181, 24330, 2015, 2024, 17631, 2130, 2044, 5812, 23924, 19009, 1010, 2004, 26721, 19901, 3170, 7524, 2076, 1996, 2117, 1998, 2353, 12241, 20367, 2064, 2599, 2000, 2695, 19833, 2389, 12763, 1012, 1032, 1031, 1031, 1030, 25416, 16048, 1033, 1032, 1033, 11914, 1010, 1996, 4254, 1997, 18224, 13181, 24330, 5850, 2006, 1996, 10768, 5809, 1998, 2047, 2141, 2038, 2042, 3273, 1999, 1996, 2433, 1997, 28774, 10610, 16505, 3012, 1006, 3891, 1997, 27480, 3558, 13366, 2953, 22930, 3111, 2058, 1996, 2918, 2240, 3446, 1997, 1016, 1012, 1014, 1011, 1011, 1016, 1012, 1019, 1003, 1007, 1010, 27885, 13473, 12412, 2389, 12763, 1006, 3653, 3334, 2213, 6959, 1010, 2659, 4182, 3635, 1010, 2659, 9706, 6843, 7644, 26785, 7971, 16518, 11806, 2729, 1007, 1010, 2566, 3981, 9080, 8715, 1006, 3558, 1998, 14260, 8030, 4384, 3859, 2044, 4182, 1007, 1998, 2146, 1011, 2744, 14260, 8297, 6679, 1006, 11265, 10976, 4783, 3270, 25500, 7941, 28828, 1999, 2336, 1007, 1010, 2164, 2146, 1011, 2744, 11265, 10976, 4783, 3270, 25500, 7941, 28828, 1999, 2336, 2040, 2020, 6086, 2000, 18224, 13181, 24330, 2015, 1999, 21183, 10624, 1012, 1032, 1031, 1031, 1030, 25416, 16068, 1033, 1032, 1033, 15124, 3808, 1997, 6888, 27790, 2869, 1063, 1001, 10819, 2487, 1011, 1018, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2053, 18224, 13181, 24330, 4319, 2038, 2042, 4844, 2011, 1996, 2149, 2833, 1998, 4319, 3447, 1006, 17473, 1007, 2005, 2224, 2076, 10032, 1012, 17473, 2038, 2511, 1037, 2465, 18513, 14049, 2291, 2005, 20992, 2241, 2006, 2951, 5173, 2013, 2529, 1998, 4111, 2913, 1012, 1032, 1031, 1031, 1030, 25416, 16576, 1033, 1031, 1030, 25416, 15136, 1033, 1032, 1033, 2429, 2000, 1996, 3891, 1010, 20992, 2024, 6219, 2046, 1019, 3891, 7236, 1006, 1037, 1010, 1038, 1010, 1039, 1010, 1040, 1010, 1998, 1060, 1007, 1012, 20992, 2872, 1999, 4696, 1000, 1037, 1000, 2024, 2641, 3647, 2005, 2224, 2076, 10032, 1010, 2174, 1010, 2053, 18224, 13181, 24330, 14667, 2003, 6219, 2004, 7495, 2000, 4696, 1000, 1037, 1012, 1000, 20992, 2872, 1999, 4696, 1060, 2024, 24528, 22254, 17872, 2349, 2000, 7645, 25972, 10831, 1010, 2029, 2041, 27204, 2232, 5770, 2000, 1996, 5776, 1012, 5850, 1999, 7236, 1038, 2000, 1040, 2024, 2641, 2000, 2031, 7783, 10831, 1010, 2029, 2024, 4602, 1999, 4696, 1040, 1012, 2087, 3424, 18075, 9905, 14606, 2024, 6219, 2004, 4696, 1039, 6074, 2005, 2029, 11706, 2529, 2913, 2024, 11158, 1998, 25972, 3896, 2024, 2464, 1999, 4111, 2913, 2030, 2216, 1999, 2029, 1996, 4111, 2913, 2024, 2036, 13990, 1025, 2437, 2009, 3697, 2000, 3627, 2041, 1996, 25972, 10831, 1012, 6888, 27790, 2869, 2066, 22157, 1010, 11748, 21572, 3686, 1998, 2482, 3676, 2863, 4371, 19265, 2024, 6219, 2004, 4696, 1000, 1040, 1000, 5850, 1012, 1032, 1031, 1031, 1030, 25416, 16068, 1033, 1031, 1030, 25416, 16576, 1033, 1031, 1030, 25416, 15136, 1033, 1032, 1033, 2009, 2003, 2590, 2000, 3342, 2008, 2023, 5579, 2003, 2025, 11706, 2005, 2437, 2035, 6567, 1998, 1996, 18146, 2015, 2031, 2000, 11160, 2006, 2060, 4216, 1997, 2592, 2043, 16755, 2075, 1996, 2224, 1997, 18224, 13181, 24330, 20992, 2076, 10032, 1012, 1032, 1031, 1031, 1030, 25416, 16147, 1033, 1031, 1030, 25416, 11387, 1033, 1032, 1033, 6888, 27790, 2869, 1998, 18749, 12516, 1063, 1001, 10819, 2487, 1011, 1019, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 7388, 6501, 2003, 2641, 2004, 2019, 7812, 2433, 1997, 14266, 1998, 2003, 2124, 2000, 9530, 7512, 2116, 12637, 2000, 1996, 2047, 2141, 1998, 1996, 10527, 1012, 1999, 2804, 1010, 7388, 8521, 2003, 2036, 2124, 2000, 9530, 7512, 2740, 6666, 2000, 2388, 1012, 2004, 2566, 1996, 2137, 2914, 1997, 23614, 2015, 1010, 1032, 1031, 1031, 1030, 25416, 17465, 1033, 1032, 1033, 2529, 6501, 2003, 2124, 2000, 5547, 1996, 18949, 1998, 1013, 2030, 18976, 1997, 1037, 2898, 2846, 1997, 16514, 7870, 2164, 17341, 2273, 2075, 13706, 1010, 8670, 21162, 17577, 1010, 22939, 12171, 20192, 1010, 26785, 21709, 6026, 4607, 24163, 15909, 2483, 1010, 27178, 13706, 2865, 1010, 16464, 12859, 8985, 1010, 24471, 3981 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 11318, 2566, 19722, 10023, 2378, 11318, 20280, 12933, 2566, 19722, 10023, 2378, 1006, 1025, 2403, 2255, 5692, 1516, 2570, 2251, 3301, 1007, 2001, 1037, 3354, 2880, 2076, 1996, 13125, 3690, 1998, 1047, 8093, 20668, 16179, 3690, 1012, 2002, 2366, 2004, 1037, 2034, 4112, 3472, 1997, 1996, 2473, 1997, 7767, 1010, 6719, 2034, 3580, 1011, 4239, 1997, 1996, 3354, 2586, 1010, 2013, 3982, 2000, 3890, 1012, 2220, 2166, 1998, 2476, 2002, 2001, 2141, 2006, 2403, 2255, 5692, 1999, 1996, 2352, 1997, 9805, 2854, 17040, 6962, 4801, 23564, 6767, 2094, 1010, 1057, 7011, 15162, 1010, 2845, 3400, 2000, 1037, 2845, 2551, 1011, 2465, 2155, 1012, 2566, 19722, 10023, 2378, 2150, 1037, 2266, 1997, 1996, 2845, 4750, 2283, 1999, 4529, 1012, 1999, 2257, 2000, 2244, 4529, 2566, 19722, 10023, 2378, 2001, 1037, 2266, 1997, 1996, 1062, 20051, 3560, 2102, 2103, 3222, 2006, 1996, 2120, 6648, 1997, 3200, 7495, 2000, 1996, 22846, 2666, 1012, 2002, 2211, 2551, 2005, 1996, 1062, 20051, 3560, 2102, 3780, 8945, 28483, 1999, 2255, 4529, 1010, 1998, 2499, 2045, 2127, 2337, 4444, 2043, 2002, 2318, 2000, 5463, 2044, 1011, 2082, 8220, 1012, 2002, 4061, 4077, 1996, 28755, 1999, 1996, 2845, 2942, 2162, 1999, 1996, 2148, 24471, 9777, 1012, 2013, 2255, 2000, 2281, 4444, 2566, 19722, 10023, 2378, 2001, 1037, 2266, 1997, 1996, 24477, 4686, 10861, 13112, 1996, 3424, 1011, 24477, 10138, 1999, 10381, 24769, 14122, 5358, 1012, 2013, 2254, 4885, 2000, 3054, 1011, 7114, 2566, 19722, 10023, 2378, 2499, 2004, 1996, 3237, 3187, 1997, 1996, 4013, 7485, 12199, 2245, 1012, 2002, 2001, 1037, 2266, 1997, 1996, 4879, 1997, 1996, 1062, 20051, 3560, 2102, 12849, 5244, 19506, 2140, 2212, 2837, 1010, 1998, 2101, 2150, 1996, 2132, 1997, 2049, 2533, 2005, 2576, 2495, 1999, 2258, 4798, 1012, 2101, 2008, 2095, 2002, 2150, 1996, 1062, 20051, 3560, 2102, 12849, 5244, 19506, 2140, 2212, 2837, 1005, 1055, 4112, 3187, 1010, 1998, 2001, 2049, 4087, 3187, 2013, 2258, 2000, 2257, 4798, 1012, 1996, 3384, 3667, 1005, 2586, 1997, 1996, 1062, 20051, 3560, 2102, 2212, 2837, 3641, 2566, 19722, 10023, 2378, 2000, 4924, 1999, 1996, 2397, 2621, 1997, 4798, 2000, 2817, 1012, 2002, 3852, 1999, 4612, 2013, 1996, 5992, 2533, 1997, 1996, 20228, 5937, 4819, 4492, 4924, 2820, 1997, 1996, 2120, 4610, 2007, 1037, 3014, 1999, 5992, 3330, 1012, 2206, 2010, 7665, 1010, 2566, 19722, 10023, 2378, 2318, 2147, 2012, 9587, 5054, 2121, 3995, 1010, 1996, 4924, 3751, 2373, 2194, 1012, 1999, 2089, 4266, 2002, 2150, 1996, 2472, 1997, 1996, 10556, 6182, 27472, 12186, 2373, 3269, 1012, 2013, 2238, 2000, 2244, 4347, 1010, 2566, 19722, 10023, 2378, 2499, 2004, 9587, 5054, 2121, 3995, 1005, 1055, 2708, 3992, 1010, 1998, 2101, 2008, 2095, 2150, 2049, 3772, 2132, 1012, 2566, 19722, 10023, 2378, 2318, 2000, 2147, 2005, 1996, 2111, 1005, 1055, 4012, 15630, 22740, 4017, 2005, 3082, 3068, 1999, 2397, 4347, 1010, 1998, 2001, 2101, 2805, 2000, 1996, 2695, 1997, 4112, 2111, 1005, 1055, 4012, 15630, 10286, 2005, 3082, 3068, 1999, 4260, 1010, 1998, 2034, 4112, 2111, 1005, 1055, 4012, 15630, 10286, 2015, 2005, 3082, 3068, 1999, 2238, 4347, 2043, 2474, 9057, 10556, 29451, 12933, 2001, 2111, 1005, 1055, 4012, 15630, 10286, 2005, 3082, 3068, 1012, 2076, 1996, 2307, 24694, 2566, 19722, 10023, 2378, 2001, 3755, 2000, 4112, 2132, 1997, 1996, 4924, 5992, 2373, 3447, 4879, 1010, 1998, 2059, 2049, 2132, 1012, 2006, 2484, 2254, 3912, 2566, 19722, 4939, 2001, 3755, 2000, 1996, 4397, 2511, 2695, 1997, 2111, 1005, 1055, 4012, 15630, 10286, 2005, 3751, 2373, 3703, 1998, 2001, 2445, 1037, 2835, 1999, 1996, 4750, 2283, 1005, 1055, 2430, 2837, 2012, 1996, 4985, 2283, 3519, 1012, 2088, 2162, 2462, 1998, 1996, 13125, 3690, 2013, 3878, 2000, 3758, 1010, 2076, 2088, 2162, 2462, 1006, 2124, 2004, 1996, 2307, 14314, 2162, 1999, 3607, 1007, 1010, 2566, 19722, 10023, 2378, 2366, 2004, 1037, 4112, 3472, 1997, 1996, 2473, 1997, 2111, 1005, 1055, 4012, 15630, 10286, 2015, 1006, 6719, 1010, 3354, 4112, 4239, 1007, 1010, 1998, 2013, 3826, 2127, 3925, 2002, 2366, 2004, 1996, 2704, 1997, 5072, 3068, 1012, 2566, 19722, 10023, 2378, 1010, 4077, 11235, 3158, 22576, 1010, 2001, 1058, 3148, 8376, 14973, 9587, 10994, 4492, 1005, 1055, 4112, 2006, 1996, 2110, 3639, 2837, 1005, 1055, 3222, 3625, 2005, 1996, 2458, 1997, 1996, 3354, 9593, 5968, 2144, 3826, 1012, 2247, 2007, 9587, 10994, 4492, 1010, 2566, 19722, 10023, 2378, 2001, 1999, 3715, 1997, 1996, 3222, 1005, 1055, 14247, 2622, 1012, 2043, 3312, 13125, 2772, 1996, 2110, 3639, 2837, 5813, 2053, 1012, 5818, 2620, 2581, 1010, 2002, 2511, 1037, 2569, 2837, 2007, 5057, 4204, 1012, 1996, 2837, 1005, 1055, 2364, 4611, 2001, 2000, 17467, 1996, 2147, 1997, 2216, 2040, 5201, 2000, 1996, 2458, 1997, 1996, 9593, 5968, 1012, 13125, 7714, 3856, 1996, 2372, 1997, 1996, 2837, 1025, 2566, 19722, 10023, 2378, 2001, 2028, 1997, 3157, 2372, 1012, 2566, 19722, 10023, 2378, 2001, 1996, 4112, 3472, 2104, 3158, 22576, 1005, 1055, 3472, 9650, 1997, 1996, 2034, 2364, 13634, 1997, 1996, 2473, 1997, 2111, 1005, 1055, 4012, 15630, 10286, 2015, 1010, 1996, 3237, 3589, 1997, 1996, 2569, 2837, 1012, 2002, 2036, 2366, 2004, 3472, 1997, 1996, 2110, 3222, 2006, 1996, 16428, 2015, 1011, 1015, 5604, 2012, 1996, 4100, 19636, 7629, 6711, 4517, 3231, 2609, 1012, 1999, 3925, 2566, 19722, 2232, 4939, 2001, 2320, 2153, 2805, 4112, 3472, 1997, 1996, 2473, 1997, 7767, 1998, 1999, 3999, 1010, 2012, 1996, 3708, 2283, 3519, 1010, 2002, 2001, 2700, 1037, 2266, 1997, 1996, 3653, 5332, 12811, 1010, 1996, 4096, 14955, 4183, 23670, 1012, 2012, 1996, 20198, 5315, 1997, 1996, 2255, 4329, 1999, 3999, 1010, 2566, 19722, 10023, 2378, 5359, 1996, 2364, 4613, 2012, 1996, 4924, 1047, 28578, 4115, 22377, 1012, 2065, 13125, 2001, 9962, 2030, 2071, 2025, 4287, 2041, 2010, 4611, 2004, 3472, 1997, 1996, 2473, 1997, 7767, 1010, 2231, 6295, 2052, 2022, 12282, 1010, 1999, 2735, 2011, 2566, 19722, 10023, 2378, 1010, 2474, 12229, 16778, 2100, 2022, 4360, 1010, 2030, 5003, 5705, 5714, 7842, 23670, 2615, 1012, 2695, 1011, 13125, 3690, 2004, 2112, 1997, 1996, 3431, 1999, 1996, 2695, 1011, 13125, 3690, 1010, 1037, 7268, 4105, 2001, 2511, 2007, 2119, 12062, 2100, 3287, 16107, 2615, 1998, 29106, 1047, 8093, 20668, 16179, 1058, 14147, 2005, 2491, 1012, 2012, 1996, 2200, 2927, 1010, 2566, 19722, 10023, 2378, 1010, 2247, 2007, 12062, 2100, 15503, 7724, 1998, 7842, 23670, 2615, 1010, 8851, 4194, 1999, 3097, 3343, 3247, 1011, 2437, 1012, 3287, 16107, 2615, 1010, 1996, 3472, 1997, 1996, 2473, 1997, 7767, 1010, 2805, 2566, 19722, 10023, 2378, 1996, 2695, 1997, 2034, 4112, 3472, 1997, 1996, 2473, 1997, 7767, 2006, 2654, 2337, 3982, 1012, 2013, 1019, 2233, 4052, 2000, 2459, 2258, 4051, 1010, 2566, 19722, 10023, 2378, 2001, 1996, 2704, 1997, 2373, 1998, 5992, 3068, 1010, 1998, 2013, 2285, 4052, 2000, 2337, 3982, 1010, 2002, 2001, 3472, 1997, 1996, 4879, 2005, 2943, 1010, 5072, 1998, 3224, 6088, 1997, 1996, 2473, 1997, 7767, 1012, 2006, 2423, 2285, 3838, 13870, 20934, 27887, 11483, 1010, 1996, 3472, 1997, 1996, 2473, 1997, 7767, 1010, 3718, 7842, 23670, 2615, 2013, 2010, 2695, 2004, 3472, 1997, 1996, 2110, 3171, 3222, 2006, 2783, 4041, 1998, 2999, 2032, 2007, 2566, 19722, 10023, 2378, 1012, 2040, 2218, 1996, 2695, 2127, 2184, 2089, 3890, 1012, 2566, 19722, 10023, 2378, 4941, 1047, 8093, 20668, 16179, 1005, 1055, 3164, 3171, 3354, 5290, 1010, 3005, 2364, 6614, 2001, 2000, 5547, 1996, 4204, 1998, 4972, 1997, 1996, 2430, 16410, 1012, 2002, 2409, 1047, 8093, 20668, 16179, 1998, 2060, 3653, 5332, 12811, 2372, 2008, 2023, 5290, 2052, 23021, 3589, 3447, 1010, 1998, 2008, 1996, 2430, 6648, 1998, 2569, 6648, 2029, 2018, 2042, 1996, 2291, 1005, 1055, 23354, 2052, 2022, 2439, 1012, 2612, 1010, 2566, 19722, 10023, 2378, 3818, 2000, 5547, 1996, 3616, 1997, 2430, 16410, 1998, 5323, 7894, 13239, 2000, 3073, 1000, 9876, 6792, 1000, 1012, 2101, 1010, 1999, 3890, 1010, 2566, 19722, 10023, 2378, 2587, 1996, 3424, 1011, 2283, 2177, 1999, 1037, 7226, 2000, 6366, 1047, 8093, 20668, 16179, 2004, 2034, 3187, 1012, 20986, 5605, 2000, 2264, 2762, 2206, 1996, 3478, 7226, 2000, 6366, 1047, 8093, 20668, 16179, 1010, 2566, 19722, 10023, 2378, 2001, 25692, 2000, 1037, 2512, 1011, 6830, 2266, 1997, 1996, 3653, 5332, 12811, 1010, 1998, 2150, 1996, 3354, 2586, 1005, 1055, 6059, 2000, 2264, 2762, 1999, 3845, 1012, 2004, 6059, 1010, 2566, 19722, 10023, 2378, 5159, 2008, 1000, 1996, 3739, 1999, 4068, 1997, 2019, 2330, 1998, 7687, 4895, 8663, 13181, 11001, 3675, 2090, 1996, 6102, 1998, 19640, 8484, 4895, 9148, 13027, 2135, 25732, 2015, 1996, 2313, 2000, 2191, 1037, 7831, 2090, 2119, 3033, 1997, 1996, 2103, 1010, 2029, 6854, 1010, 2515, 2025, 2467, 2735, 2041, 1999, 5684, 1997, 1996, 3537, 1031, 2264, 1033, 4068, 1000, 1012, 2566, 19722, 4939, 2815, 15705, 1010, 2127, 2049, 2200, 4325, 1010, 1997, 7411, 1037, 4753, 4818, 8803, 2090, 2264, 1998, 2225, 4068, 1025, 2002, 3373, 2008, 4526, 1037, 8803, 2052, 3623, 3424, 1011, 3354, 25353, 8737, 25457, 2229, 2025, 2069, 1999, 4068, 2021, 1999, 2762, 2004, 2092, 1012, 2612, 1010, 2002, 3818, 2093, 7047, 1024, 1015, 1007, 1000, 10449, 25986, 5761, 1000, 2005, 2264, 7074, 2000, 4607, 2119, 2264, 4068, 1998, 2225, 4068, 1025, 1016, 1007, 16003, 1996, 3675, 3036, 1025, 1017, 1007, 7458, 1996, 2489, 2929, 2090, 1996, 2048, 3655, 1012, 2174, 1010, 2002, 2106, 6449, 2008, 5494, 1996, 6645, 2001, 1037, 6061, 1010, 6815, 2008, 2065, 1996, 2576, 3663, 27622, 1010, 1996, 2264, 2446, 6939, 1998, 1996, 15269, 2052, 2025, 2031, 2178, 5724, 1012, 4787, 17359, 23736, 10143, 1010, 1996, 2264, 2446, 3003, 1010, 4778, 2566, 19722, 10023, 2378, 2000, 2010, 2621, 2160, 2000, 6848, 1996, 2264, 2446, 7521, 4834, 2000, 2225, 2762, 1012, 2045, 17359, 23736, 10143, 2409, 2566, 19722, 10023, 2378, 2008, 2065, 1996, 15269, 2106, 2025, 10509, 2574, 1010, 2264, 2762, 2052, 1000, 7859, 1000, 1012, 2566, 19722, 10023, 2378, 6936, 2060, 3471, 2004, 2092, 1010, 6815, 2008, 17359, 23736, 10143, 2021, 2036, 1996, 2264, 2446, 4105, 1999, 2236, 1010, 2020, 4941, 2000, 1996, 3354, 2586, 1005, 1055, 2933, 2000, 5335, 4262, 2007, 2225, 2762, 1012, 2043, 1047, 8093, 20668, 16179, 2435, 2010, 6226, 2000, 9570, 2054, 2052, 2468, 1996, 4068, 2813, 1010, 2566, 19722, 10023, 2378, 2001, 1996, 2034, 2000, 2113, 1012, 17359, 23736, 10143, 2409, 2566, 19722, 10023, 2378, 1997, 1996, 2342, 2000, 3443, 1996, 2264, 1516, 2225, 8803, 2012, 2305, 1010, 1998, 2002, 1998, 1047, 8093, 20668, 16179, 2052, 2101, 5993, 2000, 2023, 1012, 2012, 1996, 13816, 2283, 3519, 1999, 3777, 1010, 21877, 19722, 8024, 10606, 2439, 2010, 2835, 1999, 1996, 2430, 2837, 1012, 2002, 2001, 4594, 1999, 2010, 2695, 2004, 3354, 6059, 2000, 2264, 2762, 2011, 2848, 11113, 8180, 5332, 5302, 2615, 2012, 1996, 2203, 1997, 3705, 1012, 14529, 1998, 2982, 5394, 1997, 6102, 4428, 1006, 4085, 1007, 2274, 4449, 1997, 17497, 2344, 1997, 1996, 2255, 4329, 2344, 1997, 1996, 2417, 9484, 1997, 4428, 7604, 24751, 4696, 1024, 5692, 18250, 4696, 1024, 3301, 6677, 4696, 1024, 2111, 2013, 29354, 2615, 1011, 26333, 5874, 2212, 4696, 1024, 2111, 2013, 1057, 7011, 15162, 4696, 1024, 14955, 4183, 23670, 1997, 1996, 2430, 2837, 1997, 1996, 4750, 2283, 1997, 1996, 3354, 2586, 2372, 4696, 1024, 2111, 1005, 1055, 4012, 15630, 10286, 2015, 1998, 7767, 1997, 1996, 3354, 2586, 4696, 1024, 2117, 9530, 19152, 2372, 1997, 1996, 3354, 1997, 1996, 2586, 4696, 1024, 2353, 9530, 19152, 2372, 1997, 1996, 3354, 1997, 1996, 2586, 4696, 1024, 2959, 9530, 19152, 2372, 1997, 1996, 3354, 1997, 1996, 2586, 4696, 1024, 20986, 1997, 1996, 3354, 2586, 2000, 2264, 2762, 4696, 1024, 2845, 13009, 4696, 1024, 3424, 1011, 13921, 5130, 4696, 1024, 7348, 1997, 6102, 4428, 4696, 1024, 15991, 1997, 1996, 2344, 1997, 17497, 4696, 1024, 20228, 5937, 4819, 4492, 2845, 2118, 1997, 5543, 9441, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2057, 2215, 2000, 2022, 1996, 2190, 4684, 2466, 23567, 2545, 1999, 1996, 2088, 1521, 1516, 6813, 2047, 3414, 1521, 1055, 4080, 9443, 6813, 2047, 3414, 2038, 2042, 9564, 2062, 1998, 2062, 1997, 2049, 4748, 5247, 2000, 1996, 3617, 3149, 2058, 1996, 2197, 2274, 2086, 1012, 1998, 1996, 5502, 1005, 1055, 5821, 2472, 4080, 9443, 2758, 1996, 3921, 2003, 2551, 1012, 6813, 2047, 3414, 4858, 2993, 1999, 1996, 4310, 2597, 1997, 5821, 2242, 19517, 11382, 9148, 2000, 3071, 2021, 11382, 9148, 2015, 1012, 1996, 5502, 1521, 1055, 2972, 5166, 2003, 2985, 2006, 13359, 15040, 2000, 3942, 1996, 3842, 2000, 3325, 1996, 5053, 2008, 2038, 2468, 1037, 5220, 18876, 1517, 1998, 8837, 6475, 19817, 17635, 1517, 2000, 11382, 9148, 2015, 1012, 1998, 1010, 2065, 1996, 3616, 2024, 2505, 2000, 2175, 2011, 1010, 28286, 2480, 3849, 2000, 2022, 2725, 1037, 3492, 2204, 3105, 1997, 2893, 9045, 2000, 7276, 20118, 27058, 3217, 2050, 2004, 2037, 7688, 1997, 3601, 1012, 2951, 2013, 2089, 2023, 2095, 3662, 2008, 2248, 6813, 5247, 1999, 2047, 3414, 15602, 1002, 2184, 4551, 2005, 1996, 2034, 2051, 1999, 1037, 2260, 1011, 3204, 2558, 2005, 1996, 2095, 4566, 2233, 2355, 1010, 5533, 2011, 1037, 2321, 1012, 1019, 3867, 2095, 1011, 2006, 1011, 2095, 3623, 1999, 6209, 25470, 1012, 2349, 2000, 1996, 3643, 1997, 2023, 6599, 2000, 1996, 2047, 3414, 4610, 1010, 1996, 2231, 3728, 16970, 1037, 2582, 1002, 1022, 2454, 2000, 28286, 2480, 2058, 2279, 2279, 2176, 2086, 2000, 4539, 3145, 3930, 6089, 1012, 2021, 2007, 2008, 2785, 1997, 2769, 3310, 1037, 2152, 2504, 5368, 1012, 6813, 2047, 3414, 2003, 2218, 26771, 2000, 1996, 2231, 1517, 1998, 2011, 24540, 2000, 26457, 1517, 1998, 2442, 5676, 2008, 1996, 2769, 2003, 2985, 1999, 1996, 2190, 2825, 2126, 1010, 2061, 2008, 2009, 9297, 4254, 1998, 5260, 2000, 2582, 3930, 1999, 1996, 6813, 3068, 1012, 2065, 2017, 1521, 2128, 2652, 2007, 1996, 2111, 1521, 1055, 2769, 1010, 2017, 1521, 1040, 2488, 2131, 2070, 11519, 3463, 1012, 2028, 1997, 1996, 2087, 2590, 25979, 1996, 2231, 5502, 2038, 2018, 2058, 1996, 2627, 2324, 2706, 2038, 2042, 2000, 3623, 1996, 2193, 1997, 5731, 2047, 3414, 8267, 2076, 2125, 1011, 4672, 6993, 1010, 1996, 2061, 1011, 2170, 3244, 3692, 1012, 1523, 2005, 1037, 2843, 1997, 2256, 3006, 1010, 2047, 3414, 3849, 1037, 2146, 2126, 2185, 1010, 1524, 2758, 28286, 2480, 2472, 1997, 5821, 4080, 9443, 1010, 1999, 9990, 2339, 2009, 1521, 1055, 3697, 2000, 8054, 2619, 2000, 6154, 3031, 2054, 2071, 2022, 1037, 2260, 1011, 2030, 2403, 1011, 3178, 3462, 2043, 2027, 2453, 2025, 2031, 2008, 2172, 10885, 2051, 1012, 2582, 7328, 2075, 2023, 3291, 2001, 1996, 2755, 2008, 1996, 3151, 5821, 3921, 1999, 6813, 7679, 2006, 26239, 6475, 2076, 4672, 6993, 1517, 1037, 9874, 2145, 10358, 1999, 1996, 2334, 3006, 1999, 1996, 4748, 5247, 9997, 2426, 3604, 3316, 2076, 3467, 1012, 2065, 28286, 2480, 2018, 2019, 10709, 5166, 1010, 2009, 2071, 2031, 3432, 3445, 1996, 6075, 1997, 2049, 2682, 1011, 1996, 1011, 2240, 8008, 1010, 12725, 2008, 2049, 4435, 2001, 5710, 2005, 1996, 2878, 2095, 1012, 2174, 1010, 2004, 2003, 1996, 2553, 2007, 2151, 2449, 1006, 3391, 2216, 3161, 1999, 2193, 1997, 2248, 6089, 1007, 1010, 26178, 2024, 2467, 3132, 1010, 3574, 28286, 2480, 2018, 2000, 7601, 7103, 2618, 2049, 3921, 1012, 28636, 4748, 5247, 2058, 1996, 2627, 2274, 2086, 1010, 28286, 2480, 2038, 2042, 9564, 2019, 2412, 1011, 4852, 7017, 1997, 2049, 4748, 5247, 2000, 3617, 2000, 1996, 6698, 2008, 2058, 3770, 3867, 1997, 2049, 5166, 2003, 2085, 2985, 2006, 1996, 3149, 1012, 2021, 3048, 7824, 2013, 2028, 4524, 2000, 2178, 3475, 1521, 1056, 8144, 1999, 2993, 1012, 2004, 9425, 1521, 1055, 3795, 2132, 1997, 3617, 1998, 5821, 8651, 11895, 2615, 5960, 3728, 2409, 10667, 8524, 2100, 1024, 1523, 9564, 2769, 2013, 2694, 2000, 3617, 2003, 1037, 18856, 17322, 1012, 2009, 1521, 1055, 2428, 6057, 1010, 2138, 2057, 2004, 3006, 2545, 2253, 2083, 1037, 4403, 2058, 1996, 2197, 2274, 2086, 2073, 2296, 3006, 2121, 2052, 2360, 1010, 1520, 1045, 1521, 2310, 5429, 2423, 3867, 1997, 2026, 5166, 2000, 3617, 1521, 1012, 1998, 1996, 2279, 3006, 2121, 2052, 2360, 1010, 1520, 1045, 1521, 1049, 2488, 2084, 2017, 1010, 1045, 1521, 2310, 5429, 3486, 3867, 1521, 1012, 1998, 1996, 2353, 2052, 2360, 1010, 1520, 1045, 1521, 2310, 5429, 3770, 3867, 1012, 1996, 2391, 2003, 2008, 3904, 1997, 2008, 5609, 1012, 1524, 5960, 1521, 1055, 6685, 2003, 2008, 2005, 1037, 5670, 1999, 5247, 2000, 2022, 5621, 9525, 1010, 2009, 2442, 3298, 3463, 1012, 1998, 2023, 12369, 2036, 24501, 21149, 2015, 2007, 9443, 1010, 2040, 1010, 2076, 1037, 3522, 4357, 2007, 2644, 20110, 1010, 28960, 2051, 1998, 2051, 2153, 2129, 2590, 3463, 2024, 2000, 2010, 5821, 3921, 1010, 7539, 1997, 1996, 3149, 1012, 2000, 5676, 2010, 3617, 5656, 10155, 1996, 2190, 3463, 1010, 9443, 17430, 1037, 5386, 2007, 9130, 2105, 1037, 2095, 1998, 2431, 3283, 1010, 3228, 28286, 2480, 3229, 2000, 2119, 1996, 9130, 5541, 1998, 6143, 2780, 1012, 2703, 23680, 29165, 2100, 1010, 2132, 1997, 3604, 2012, 9130, 2660, 1998, 2047, 3414, 1010, 2758, 2023, 5386, 2038, 2042, 3391, 2092, 22313, 2445, 1996, 3522, 1010, 2200, 2092, 2988, 1010, 5670, 1999, 2865, 8381, 14243, 1012, 1523, 5541, 2135, 1010, 2043, 2017, 2228, 2055, 7538, 8593, 1010, 2027, 2031, 2042, 3243, 3151, 1999, 2037, 3921, 1010, 2021, 1996, 3795, 9874, 2038, 2464, 7325, 9164, 5670, 12099, 1010, 1524, 23680, 29165, 2100, 2758, 1012, 1523, 1999, 1996, 2149, 3728, 1010, 1996, 3815, 1997, 2051, 2985, 15077, 3617, 4180, 28920, 1996, 3815, 1997, 2051, 2985, 15077, 2694, 1012, 1996, 3114, 2339, 2023, 2003, 2590, 2003, 2138, 2009, 1521, 1055, 1996, 5221, 2689, 2000, 2031, 3047, 1999, 1037, 2753, 1011, 2095, 2558, 1012, 1996, 2197, 2051, 2009, 3047, 2001, 2043, 2547, 28920, 2557, 1012, 1524, 23680, 29165, 2100, 2758, 2008, 2138, 1997, 2023, 2689, 1010, 2009, 2052, 1521, 2310, 2042, 2200, 3697, 2005, 28286, 2480, 2000, 6039, 2049, 3244, 2161, 1999, 1037, 3151, 2126, 1012, 4684, 22759, 2015, 2044, 8478, 1996, 5386, 1010, 9443, 2758, 2009, 2134, 1521, 1056, 2202, 2146, 2005, 2032, 2000, 19148, 1037, 2350, 4495, 3913, 1999, 1996, 10306, 1997, 10390, 1010, 3391, 2216, 1999, 8361, 6089, 1012, 1523, 1031, 1996, 5386, 1033, 1010, 2038, 14613, 2149, 3031, 4684, 5901, 1010, 1524, 2002, 2758, 1012, 1998, 2138, 28286, 2480, 3133, 2023, 2686, 2007, 2200, 2210, 3325, 1010, 9443, 5319, 2013, 1996, 2927, 2045, 2052, 2022, 1037, 2261, 12051, 2247, 1996, 2126, 1012, 1523, 2057, 2031, 2036, 5429, 2000, 1037, 3231, 2000, 4553, 3226, 1012, 2009, 1521, 1055, 2428, 29003, 1012, 2065, 2057, 2215, 2000, 4553, 2242, 1010, 2057, 2031, 2000, 3231, 2009, 1998, 2156, 2054, 6433, 1012, 1998, 2007, 1996, 2373, 1997, 1996, 4132, 1010, 2057, 1521, 2310, 2288, 20062, 2008, 2057, 2481, 1521, 1056, 2031, 4719, 2083, 3151, 2470, 1012, 1524, 9443, 2758, 2008, 2445, 1996, 5197, 1997, 2216, 10156, 4979, 28667, 23395, 2015, 1010, 2010, 6614, 2003, 2000, 2191, 28286, 2480, 1523, 1996, 2190, 4684, 2466, 23567, 2121, 1999, 1996, 2088, 1524, 1012, 2021, 2738, 2084, 2108, 5533, 2011, 12465, 4436, 1010, 9443, 2758, 1996, 3114, 2005, 2023, 7863, 2003, 2138, 14842, 2006, 4684, 2038, 5533, 2204, 3463, 2005, 28286, 2480, 1012, 2000, 2067, 2023, 4366, 1010, 9443, 2685, 2000, 1996, 1520, 12849, 14905, 2072, 18707, 1521, 3049, 2207, 2197, 2095, 1010, 2029, 2002, 2758, 2584, 2058, 2382, 2454, 2111, 1999, 1996, 2149, 2894, 1998, 4504, 1999, 1037, 2656, 3867, 2095, 1011, 2006, 1011, 2095, 3623, 1999, 5731, 2076, 1996, 2034, 3204, 1997, 1996, 7114, 3244, 2161, 1006, 2233, 1007, 1012, 2004, 2019, 5875, 4998, 1010, 2023, 3049, 2001, 2764, 1999, 9595, 2007, 1996, 9130, 5541, 4497, 2136, 2738, 2084, 2083, 1037, 3151, 4034, 1012, 1998, 2096, 5541, 4497, 2987, 1005, 1056, 3715, 2005, 2049, 2578, 1010, 3419, 11804, 1010, 9130, 1521, 1055, 5541, 4256, 2408, 2660, 1998, 2047, 3414, 1010, 3728, 2409, 2644, 20110, 2008, 1996, 2194, 2001, 19920, 1999, 5848, 2000, 2488, 1041, 15549, 2361, 1996, 5502, 2000, 20880, 2007, 5541, 6736, 1998, 7846, 2006, 5541, 4784, 1012, 1008, 1523, 2043, 2242, 3791, 2000, 2022, 2904, 2012, 9130, 1010, 2027, 2689, 2009, 1010, 1524, 11804, 2056, 1012, 1523, 1998, 2028, 2518, 2008, 2027, 7843, 2734, 2000, 2022, 2904, 2001, 2008, 2027, 2020, 1037, 2865, 2194, 2440, 1997, 2865, 2111, 1012, 1998, 2027, 11323, 2008, 4435, 2003, 1996, 5221, 4495, 2005, 1996, 2194, 1010, 2138, 2008, 1521, 1055, 2073, 1996, 6565, 3484, 1997, 2769, 2003, 2985, 1999, 6475, 1012, 2061, 2027, 2253, 2055, 15440, 1996, 2190, 2111, 2013, 5541, 6736, 1012, 1524, 2054, 2023, 2965, 2003, 2008, 2616, 1520, 5541, 4497, 1521, 2024, 3497, 2000, 2468, 2062, 2691, 1999, 1996, 4923, 7201, 1997, 8008, 1999, 1996, 2379, 2925, 1012, 2030, 2672, 2025, 1012, 2138, 2004, 23680, 29165, 2100, 7607, 1010, 2823, 9130, 3248, 2062, 1997, 1037, 6143, 2535, 1010, 4346, 6040, 1998, 14669, 1996, 7396, 1999, 3408, 1997, 1996, 2190, 2126, 2000, 6162, 1996, 9059, 2765, 1012, 1523, 2057, 2097, 3188, 13706, 2063, 1996, 2190, 2825, 10903, 18407, 1010, 2057, 2097, 2035, 24755, 2618, 5541, 4219, 2000, 2490, 4684, 1010, 1998, 2057, 1521, 2222, 2191, 2469, 2008, 2047, 3414, 2003, 2012, 1996, 2392, 1997, 2035, 1996, 2047, 10660, 8973, 1010, 1524, 23680, 29165, 2100, 2758, 1012, 1523, 2057, 2123, 1521, 1056, 3073, 2035, 1997, 2008, 2000, 7955, 1010, 2021, 2043, 2057, 2031, 1037, 5386, 2066, 2023, 13557, 4080, 1998, 2010, 2136, 6661, 2007, 2149, 2010, 2449, 3291, 1998, 3957, 2149, 1996, 4119, 1010, 2059, 2125, 1996, 2067, 1997, 2008, 2009, 1521, 1055, 2019, 5875, 2622, 2005, 2149, 2138, 2057, 2097, 2173, 1037, 9470, 2006, 6813, 2047, 3414, 2025, 2069, 2004, 1037, 2334, 1010, 2021, 2004, 1037, 3795, 7396, 1012, 1524, 2145, 4083, 23680, 29165, 2100, 2758, 9130, 8704, 2000, 3745, 2035, 2049, 15463, 2007, 2049, 3795, 5826, 1010, 2061, 2008, 2027, 2064, 2022, 1996, 2034, 2000, 7551, 2007, 2068, 1012, 2174, 1010, 9443, 2758, 2008, 2108, 2034, 3475, 1521, 1056, 2467, 1996, 2190, 3921, 2043, 2009, 3310, 2000, 3617, 1010, 7302, 2000, 1996, 3522, 4888, 1997, 10683, 2004, 2019, 2742, 1012, 1523, 2043, 10683, 3390, 1010, 2057, 2134, 1521, 1056, 2215, 2000, 2022, 2034, 1010, 1524, 2002, 2758, 1012, 1523, 2057, 2359, 2000, 2022, 2279, 1012, 2057, 2034, 2359, 2000, 2298, 2408, 1996, 7595, 2012, 2054, 2018, 2042, 2589, 1010, 1998, 2424, 1996, 2190, 1012, 1998, 2059, 2057, 2241, 14635, 2006, 2008, 1012, 2008, 1521, 1055, 2054, 1996, 3643, 1997, 1996, 5386, 2003, 1012, 9130, 8440, 1521, 1056, 2405, 9556, 2006, 4526, 12702, 28032, 2229, 1010, 2021, 2027, 2097, 5425, 1998, 6611, 2009, 2000, 2256, 22679, 1012, 2004, 1037, 3006, 2121, 1010, 2008, 1521, 1055, 17160, 1012, 2017, 1521, 2128, 4083, 2083, 2725, 1012, 1524, 9443, 2038, 2036, 2699, 2010, 2192, 2012, 5821, 2006, 16021, 23091, 1010, 2007, 2197, 2095, 1521, 1055, 4888, 1997, 1996, 1001, 20008, 7606, 2102, 3527, 3049, 1006, 2011, 9530, 15900, 3258, 1007, 1010, 2029, 2419, 2000, 2058, 2321, 1010, 2199, 9045, 8020, 2000, 2047, 3414, 1521, 1055, 3739, 2006, 1996, 2591, 3149, 1012, 1037, 6302, 6866, 2011, 7987, 23947, 2545, 1006, 1030, 7987, 23947, 2545, 1007, 2006, 12022, 2385, 1010, 2355, 2012, 1019, 1024, 2385, 9737, 22851, 2102, 1998, 9443, 3475, 1521, 1056, 7458, 2045, 1012, 2002, 2758, 2002, 1005, 1055, 2036, 3352, 6233, 4699, 1999, 2478, 3747, 2869, 2000, 3362, 9501, 1999, 8361, 6089, 1010, 2107, 2004, 1996, 2149, 1010, 2859, 1998, 2634, 1006, 5030, 7760, 1999, 1037, 8652, 22769, 5430, 2036, 2393, 2023, 3426, 1007, 1012, 2023, 2038, 2525, 2042, 2464, 3041, 2023, 2095, 2007, 28286, 2480, 5026, 2058, 2822, 3747, 2099, 15469, 26947, 2058, 1996, 2822, 2047, 2095, 12035, 1010, 1998, 9443, 2758, 2002, 24273, 3747, 2869, 2000, 2377, 1037, 2062, 2590, 2535, 2004, 2002, 4247, 2000, 19852, 28286, 2480, 1521, 1055, 5821, 5656, 1012, 1998, 2004, 1996, 3842, 4084, 2582, 2013, 1996, 8652, 1997, 23602, 1010, 1996, 12353, 1997, 2023, 5656, 2097, 2377, 2019, 6233, 2590, 2535, 1999, 12515, 3251, 1996, 3842, 1521, 1055, 2665, 4564, 3613, 2000, 9958, 9045, 1012, 1008, 18140, 1024, 2023, 2466, 3130, 19721, 3090, 2008, 5541, 4497, 5571, 2005, 2049, 5541, 2578, 1012, 2023, 2003, 1037, 2451, 6594, 7057, 1012, 7615, 2003, 2489, 2021, 3531, 4847, 2256, 3513, 1024, 2065, 2057, 2424, 2017, 2725, 2122, 2477, 1010, 2115, 7928, 2097, 2022, 5493, 2302, 28667, 22957, 2063, 1998, 2017, 2089, 2022, 2356, 2000, 2175, 2185, 1998, 28667, 5644, 18688, 2115, 4506, 1012, 2057, 4847, 1996, 2157, 2000, 2489, 4613, 1998, 10812, 7928, 1012, 2123, 1521, 1056, 6905, 1996, 14293, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2307, 11642, 21526, 2075, 1997, 2249, 1012, 2008, 2001, 9202, 1012, 2057, 2020, 2074, 11642, 19203, 1012, 2057, 4510, 2288, 2041, 4142, 1012, 2009, 2001, 2019, 20728, 1010, 11083, 11642, 1010, 2007, 24582, 4801, 14415, 9516, 5562, 12901, 1010, 2746, 2041, 2013, 7249, 2066, 13697, 1012, 2023, 2208, 2001, 1037, 14415, 9516, 5562, 11642, 1997, 7209, 25539, 1012, 2026, 5346, 2064, 2190, 2022, 5228, 2083, 1996, 2206, 12528, 2013, 1996, 4438, 3299, 3185, 1523, 2897, 1010, 1524, 4626, 19243, 14145, 9497, 1010, 2520, 9988, 1998, 2848, 16133, 1012, 1998, 2748, 1012, 2017, 2031, 2000, 3422, 1996, 2878, 2518, 1012, 2065, 2017, 2215, 2000, 2156, 1996, 2377, 1011, 2011, 1011, 2377, 8639, 1010, 17186, 2091, 2005, 15967, 8223, 9709, 2015, 1012, 1999, 1996, 12507, 1010, 2079, 2054, 1996, 2678, 12528, 2758, 1012, 2292, 1521, 1055, 2131, 5506, 1010, 2111, 999, 1045, 2572, 1037, 2529, 2108, 999, 2026, 2166, 2038, 3643, 999, 2131, 2039, 2041, 1997, 2115, 8397, 1012, 2131, 2000, 1996, 3332, 1012, 2330, 2009, 1012, 6293, 2115, 2132, 2041, 1998, 14315, 1010, 1523, 1045, 1521, 1049, 5506, 2004, 3109, 1998, 1045, 1521, 1049, 2025, 2183, 2000, 2202, 2023, 4902, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 1524, 1045, 2064, 1521, 1056, 2963, 2017, 999, 1998, 2065, 1045, 2064, 1521, 1056, 2963, 2017, 1010, 2129, 2003, 20712, 2183, 2000, 2963, 2017, 1029, 1029, 1029, 1029, 8827, 1011, 4826, 2057, 2707, 1037, 2047, 3049, 1012, 2404, 3768, 3240, 2006, 1996, 21469, 1012, 2138, 1045, 2064, 1521, 1056, 2202, 2023, 4826, 2205, 1012, 15306, 1045, 2031, 4567, 2013, 2023, 2208, 1029, 1996, 2417, 9175, 2024, 4452, 1997, 1996, 3661, 1523, 1052, 1012, 1524, 8827, 1011, 2017, 2113, 2017, 2024, 1999, 4390, 2043, 20599, 2003, 2006, 1996, 1523, 2054, 2253, 3308, 1524, 2862, 1998, 6173, 15119, 2003, 2006, 1996, 1523, 2054, 2253, 2157, 1524, 2862, 1012, 2643, 2393, 2149, 2035, 1012, 1517, 1517, 1517, 1517, 1517, 1011, 1517, 1517, 1517, 1517, 1517, 1011, 2047, 3347, 1012, 2131, 2182, 5351, 12994, 1012, 3398, 1012, 1045, 2387, 2008, 1012, 2035, 1997, 2008, 1012, 2339, 6498, 1029, 2339, 1029, 5815, 2000, 2026, 9135, 1010, 11642, 2208, 2003, 2006, 1037, 2547, 2008, 2003, 3760, 2084, 2026, 3274, 1012, 2009, 3138, 2033, 2322, 2781, 1006, 1998, 1045, 4175, 1007, 2000, 2131, 2028, 1997, 1996, 2260, 1009, 2502, 2111, 2547, 2015, 2006, 1996, 2208, 1012, 2027, 2024, 3666, 1996, 3516, 1011, 2148, 3792, 2208, 1012, 2006, 2296, 2547, 1012, 2428, 1029, 2428, 1029, 1029, 1029, 1029, 2061, 1010, 2011, 1996, 2051, 1045, 2131, 2026, 3274, 2041, 2000, 8275, 2147, 1998, 2428, 9927, 1011, 2009, 1521, 1055, 1996, 3953, 1997, 1996, 5504, 1012, 1045, 3685, 2831, 2055, 1996, 4763, 2015, 2008, 1045, 2387, 1999, 1996, 5351, 1012, 2053, 1012, 1045, 3685, 1012, 1998, 2085, 2023, 17103, 3124, 2003, 6911, 2075, 2033, 1996, 10424, 6799, 2041, 1012, 2061, 1010, 2047, 3347, 1012, 3553, 2000, 2073, 1045, 2444, 1012, 8736, 2013, 15033, 1012, 1045, 2228, 1045, 1521, 1049, 1999, 1529, 1008, 12008, 1008, 2334, 3700, 1012, 4415, 1010, 1045, 2572, 1996, 2069, 2028, 1999, 2182, 2007, 1037, 3105, 1012, 2515, 2008, 2614, 8689, 2389, 1029, 1045, 2079, 3046, 2025, 2000, 2022, 8689, 2389, 1012, 3100, 1010, 17103, 1012, 2057, 1521, 2128, 4658, 1012, 1023, 1024, 5709, 1052, 1012, 1049, 1012, 1517, 3100, 1012, 2023, 2502, 2111, 2694, 2003, 18138, 2075, 2033, 2125, 2205, 1012, 2009, 2038, 2035, 2122, 2210, 12125, 2135, 21407, 1999, 1996, 3898, 1012, 2003, 2008, 2054, 2025, 1011, 10751, 2003, 2066, 1029, 1045, 2572, 2183, 2000, 2079, 1996, 3347, 3153, 1012, 1045, 2156, 2009, 1012, 2035, 1012, 2105, 1012, 1996, 1012, 3347, 1012, 1996, 4326, 3347, 1012, 2073, 1045, 2113, 2053, 2028, 1012, 1998, 1045, 2428, 2228, 2008, 3124, 1521, 1055, 4392, 2003, 2428, 1037, 9098, 13183, 3406, 2239, 1012, 1041, 2860, 1012, 1041, 2860, 1011, 1041, 2860, 1011, 1041, 2860, 1012, 2191, 1012, 2009, 1012, 2644, 1012, 2026, 15812, 2038, 2000, 2022, 9171, 1012, 2038, 2000, 2022, 1012, 5667, 1012, 1517, 10166, 1012, 2074, 2288, 1037, 3042, 2655, 2013, 1037, 2428, 4086, 3124, 1045, 4033, 1521, 1056, 5720, 2000, 1999, 2066, 1037, 2095, 1012, 2138, 2002, 2333, 1012, 2009, 2001, 4415, 1037, 4979, 13764, 1012, 2021, 2129, 4086, 2000, 9811, 2002, 2001, 4214, 2000, 4638, 2039, 2006, 2033, 1012, 1517, 2053, 1012, 1045, 2079, 2025, 2215, 1037, 1052, 19892, 1012, 1045, 2572, 5948, 1037, 3520, 5922, 999, 2156, 1029, 2065, 1045, 2734, 2178, 4392, 1010, 1045, 2052, 2025, 2022, 18499, 2075, 2058, 2026, 3274, 2725, 8275, 2147, 1998, 3666, 1037, 2208, 1012, 2023, 1012, 2023, 2003, 2170, 9992, 3239, 3967, 2007, 2017, 1012, 1517, 1045, 2228, 2023, 2001, 1037, 3347, 8246, 1012, 7632, 1010, 9383, 1012, 1023, 1024, 2340, 1012, 2008, 4894, 3480, 2026, 3969, 1012, 1517, 1998, 2178, 2518, 1012, 2045, 2024, 4942, 27430, 1012, 2029, 2003, 15488, 27292, 2100, 10326, 1010, 2428, 1012, 3272, 2008, 1045, 2064, 1521, 1056, 2156, 2151, 26319, 1012, 2030, 2505, 1010, 2428, 1012, 1517, 17012, 2213, 1012, 2672, 2008, 2347, 1521, 1056, 1037, 4979, 13764, 1012, 2021, 2763, 1012, 1045, 2572, 4736, 2098, 1012, 1517, 2017, 2113, 1012, 2026, 2388, 1006, 1996, 2388, 2008, 4122, 2033, 2000, 5914, 2417, 24066, 1998, 2025, 2026, 3969, 8585, 4901, 2017, 3211, 6856, 1007, 2758, 1045, 2323, 2196, 2175, 2000, 6963, 2894, 1012, 1997, 2607, 2025, 1010, 1045, 2360, 1012, 1517, 4463, 13075, 4221, 2243, 1012, 2002, 3504, 2204, 2651, 1012, 2821, 1010, 1998, 1037, 2485, 2039, 1997, 4901, 2017, 3211, 6856, 1012, 2025, 2096, 8915, 2243, 2003, 9640, 1010, 4268, 1010, 2017, 1521, 2222, 15886, 2033, 999, 1996, 2126, 1996, 3346, 2074, 1043, 9863, 6132, 2125, 2010, 13852, 2132, 1012, 2021, 2036, 2055, 2129, 5926, 12054, 12476, 1996, 9175, 10048, 2003, 1012, 5667, 1012, 2073, 2003, 2008, 1029, 21577, 1012, 8350, 1012, 15711, 1012, 2821, 8029, 3995, 2094, 1012, 2057, 2031, 2242, 2114, 1996, 3661, 1523, 1052, 1012, 1524, 1045, 2097, 4392, 2178, 5404, 1998, 17908, 2023, 11449, 9139, 1012, 3383, 2006, 1037, 20619, 1012, 1023, 1024, 2385, 1012, 2028, 2041, 1012, 2327, 1997, 1996, 5893, 1012, 8320, 2378, 1521, 2051, 1012, 2157, 1029, 2157, 1029, 1517, 2644, 3331, 2055, 2508, 11824, 999, 999, 999, 999, 2023, 2003, 1037, 3731, 2208, 1012, 1517, 1011, 1996, 4942, 3775, 9286, 5932, 2064, 1521, 1056, 6297, 1012, 2339, 2024, 2017, 2130, 2652, 1029, 2017, 1521, 2128, 2066, 2019, 16021, 2696, 1011, 2041, 999, 999, 999, 999, 999, 999, 999, 7232, 999, 5587, 1037, 3972, 1011, 2077, 2115, 2171, 1998, 2655, 2017, 10916, 1012, 2017, 2657, 2033, 1012, 1517, 2025, 2130, 2026, 3731, 5404, 2064, 3828, 2149, 2085, 1012, 1517, 1011, 1023, 1024, 2539, 1012, 8040, 4904, 1012, 10424, 6799, 10230, 4588, 1012, 1016, 21100, 1012, 1517, 4365, 2017, 1010, 8040, 4904, 1012, 1023, 1024, 2322, 1012, 1517, 3100, 1012, 2043, 1037, 2611, 2003, 13175, 2012, 1037, 2547, 3898, 1998, 6886, 16817, 2015, 1010, 2079, 2025, 3921, 2014, 1012, 2425, 2115, 2814, 1012, 1517, 1011, 1045, 2572, 2478, 1996, 3293, 3338, 2000, 17908, 2023, 3124, 1521, 1055, 20919, 7529, 11660, 1012, 1045, 2356, 2032, 2065, 1045, 2071, 2202, 1037, 3861, 1997, 2009, 2061, 2017, 2071, 17908, 2009, 2205, 1006, 1045, 2134, 1521, 1056, 2425, 2032, 1045, 2052, 2404, 2009, 2006, 1996, 4274, 1007, 1998, 2002, 2001, 2066, 1523, 2053, 1012, 1524, 2002, 2987, 1521, 1056, 4025, 2000, 2215, 2000, 2831, 2000, 2033, 1012, 2002, 1521, 1040, 2738, 13183, 2046, 1037, 2452, 1012, 1045, 2572, 26380, 1010, 1045, 2360, 1012, 2025, 2069, 2323, 2017, 2215, 2000, 2831, 2000, 2033, 1010, 2017, 2323, 2022, 2004, 24826, 25848, 1998, 8686, 2008, 1045, 2215, 2000, 2202, 1037, 3861, 1997, 2115, 11660, 1012, 2002, 7480, 2010, 2677, 2000, 3713, 1012, 14021, 23644, 1012, 1996, 2208, 2003, 2067, 2006, 1012, 2070, 2111, 1012, 1517, 2053, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 2080, 6173, 10424, 6799, 2075, 15119, 1012, 2053, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 9541, 2080, 2092, 1010, 2085, 2008, 1045, 1521, 2310, 7344, 4383, 3071, 2105, 2033, 1529, 1517, 3100, 1012, 2041, 1015, 1012, 2017, 2134, 1521, 1056, 2079, 2008, 15119, 1012, 2008, 2001, 2643, 1012, 2123, 1521, 1056, 2131, 24995, 1012, 2339, 1029, 1029, 1029, 1029, 1029, 2003, 2198, 3768, 3240, 2428, 2183, 2000, 6510, 4826, 1029, 2428, 1011, 2428, 1029, 2024, 2017, 2469, 2002, 1521, 1055, 2025, 2183, 2000, 2131, 2006, 1996, 21469, 1029, 2672, 2002, 1521, 1055, 2525, 2045, 1998, 1045, 2074, 2123, 1521, 1056, 2113, 2009, 1012, 2017, 1521, 1040, 2425, 2033, 1010, 2157, 1029, 2017, 1521, 1040, 2425, 2033, 1029, 7232, 1011, 2003, 2008, 1037, 11660, 2006, 2115, 3300, 1029, 10825, 2033, 2000, 8224, 2008, 2101, 1012, 2003, 2009, 2074, 2033, 2030, 2106, 15119, 12241, 2010, 5236, 13555, 17389, 1037, 2978, 1029, 2129, 2079, 2017, 6297, 13555, 4402, 1029, 2821, 1012, 1517, 3398, 1012, 4894, 2093, 1012, 4133, 1996, 10424, 6799, 2091, 1012, 3398, 1010, 1045, 2123, 1521, 1056, 2113, 2065, 2008, 2001, 1037, 4894, 2593, 1012, 2021, 1045, 1521, 1049, 2469, 2017, 10849, 2008, 2655, 1012, 2017, 2113, 1010, 2005, 2108, 1037, 2919, 2711, 2030, 2242, 1012, 1517, 1011, 1023, 1024, 2676, 1012, 5252, 21183, 3051, 1012, 2017, 2298, 16267, 3671, 1012, 6173, 15119, 1012, 6682, 1012, 2054, 2001, 2008, 1010, 15119, 1029, 2106, 1996, 3598, 6900, 2298, 2066, 1037, 13795, 1521, 1055, 10210, 2102, 1029, 8016, 2033, 1010, 6721, 3124, 2012, 3347, 1029, 2054, 1996, 3109, 2515, 2009, 2298, 2066, 1045, 1521, 1049, 3666, 1029, 3100, 1012, 1045, 1521, 1049, 4147, 1037, 21713, 4576, 1056, 1011, 3797, 1998, 1037, 14768, 22137, 1012, 2040, 2079, 2017, 2228, 1045, 1521, 1049, 7117, 2075, 2006, 1029, 2298, 1012, 1045, 2064, 1521, 1056, 2022, 3517, 2000, 3437, 2115, 5236, 3980, 1012, 2106, 2017, 2156, 2008, 1029, 2008, 2001, 2026, 3129, 1012, 2026, 3129, 1012, 4283, 1010, 2017, 2243, 1012, 6173, 15119, 1010, 2017, 2323, 3610, 2010, 6007, 1012, 1517, 1516, 2057, 2031, 2428, 13433, 3736, 2850, 1011, 3968, 9731, 1010, 4033, 1521, 1056, 2057, 1029, 1517, 1011, 1016, 21100, 1012, 2028, 2006, 2034, 1012, 2045, 2003, 2053, 2614, 1012, 1045, 2572, 2061, 5457, 2055, 2122, 6547, 4455, 1012, 1045, 2514, 2066, 2017, 11602, 1998, 1045, 2024, 2652, 2256, 2219, 2797, 2208, 1997, 3598, 25869, 18673, 1012, 1996, 3124, 2369, 2033, 2038, 2428, 2502, 4091, 1012, 1045, 1521, 1049, 2074, 3038, 1012, 7632, 1010, 4463, 13075, 4221, 2243, 1012, 1045, 2123, 1521, 1056, 2228, 2027, 1521, 2128, 2613, 1012, 1996, 4091, 1012, 2025, 4463, 13075, 4221, 2243, 1012, 1045, 2323, 2507, 2023, 3124, 16031, 2030, 2242, 1012, 2017, 2113, 1012, 2004, 1037, 3231, 1012, 3087, 2031, 2151, 16031, 1029, 1517, 1011, 1023, 1024, 3590, 1012, 1523, 1037, 2440, 2522, 4904, 1010, 1524, 4942, 3775, 9286, 2758, 1012, 1045, 2228, 2017, 2812, 4175, 1012, 2522, 4904, 18500, 1012, 6289, 23278, 3270, 3270, 3270, 1012, 2051, 2005, 2178, 5404, 1012, 2085, 1045, 1521, 1049, 3201, 2005, 2008, 1052, 19892, 1012, 4283, 1012, 1517, 1011, 2026, 2171, 1029, 5619, 1012, 5619, 3557, 1012, 1045, 1521, 1049, 1037, 13235, 1010, 2017, 2156, 1012, 13729, 15572, 2083, 8785, 1012, 2066, 1999, 1017, 1011, 1016, 1011, 1015, 4175, 2091, 1998, 2008, 2265, 2170, 1523, 3616, 1012, 1524, 1997, 2607, 1045, 1521, 1049, 2108, 3809, 1012, 2115, 2171, 1029, 11382, 2361, 1029, 5667, 1029, 2123, 1521, 1056, 4756, 1010, 10294, 1012, 2008, 1521, 1055, 12726, 1012, 1517, 1011, 3398, 1012, 3347, 8246, 1012, 2009, 2003, 1996, 3953, 1997, 1996, 5893, 1012, 2145, 1012, 2048, 2006, 2918, 1006, 4283, 1010, 15119, 1007, 1012, 1023, 1024, 3486, 1012, 2048, 21100, 1012, 1517, 7632, 1010, 17473, 1012, 1045, 1521, 1049, 5580, 2017, 1521, 2128, 2041, 2045, 4873, 1012, 2066, 1999, 10882, 18697, 2140, 1012, 15591, 2013, 28978, 2021, 2559, 2012, 1996, 2168, 4231, 1012, 3272, 2009, 1521, 1055, 2025, 1037, 4231, 1012, 2009, 1521, 1055, 6173, 10424, 6799, 2075, 15119, 1012, 6498, 20599, 3084, 2026, 3969, 5390, 1012, 2085, 1010, 1045, 2123, 1521, 1056, 2113, 2054, 3047, 1012, 1045, 2001, 2725, 2008, 3105, 2518, 1012, 2061, 2672, 2027, 2056, 2242, 2000, 2017, 1010, 20599, 1012, 2672, 2027, 23637, 7596, 6529, 2030, 2242, 1012, 1045, 2123, 1521, 1056, 2113, 1012, 2021, 1045, 1521, 1040, 2066, 2019, 9491, 1010, 2012, 2560, 1019, 20423, 2015, 1010, 2006, 2026, 4624, 4826, 1010, 9990, 3599, 2054, 3047, 1998, 2129, 2017, 2469, 2004, 10424, 6799, 2180, 1521, 1056, 2292, 2009, 4148, 2153, 1012, 13675, 2319, 9766, 2611, 1010, 2017, 2079, 5382, 1010, 2123, 1521, 1056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4080, 7624, 2003, 2108, 20673, 1998, 15743, 4080, 7624, 1010, 2040, 2066, 2033, 2573, 2013, 2188, 1010, 1998, 2040, 4406, 2033, 2038, 2196, 2499, 1999, 1037, 2739, 9954, 2030, 1010, 2000, 2026, 3716, 1010, 2042, 2006, 1037, 2267, 4513, 2005, 2151, 3091, 1997, 2051, 1010, 2758, 2008, 1045, 1521, 1049, 3308, 2000, 2360, 2008, 2009, 2003, 5263, 2085, 2000, 2191, 1037, 1523, 3893, 2553, 1524, 2005, 6244, 3017, 4252, 2006, 3510, 1010, 2138, 1006, 1999, 2026, 3193, 1007, 2151, 4559, 2000, 2168, 1011, 3348, 3510, 2003, 2464, 2004, 3298, 2011, 2502, 4140, 2854, 1012, 4080, 2758, 2008, 2065, 6244, 8135, 1997, 22875, 2215, 2000, 2022, 2464, 2004, 2025, 12774, 2011, 2502, 4140, 2854, 1999, 2037, 4559, 2000, 7020, 2213, 1010, 2045, 1521, 1055, 2242, 2027, 2064, 2079, 2055, 2009, 1024, 1998, 1996, 2069, 2126, 2000, 10782, 4426, 2013, 2122, 5223, 3993, 13815, 2003, 2000, 2191, 1037, 3893, 2553, 2005, 2115, 2597, 1012, 2008, 1521, 1055, 2467, 2825, 1012, 2013, 1996, 2200, 16508, 1997, 2256, 4752, 1010, 8135, 2031, 2081, 2107, 1037, 3893, 2553, 1010, 2130, 2004, 2027, 2020, 2108, 6908, 2000, 1996, 7212, 1012, 1998, 8473, 2180, 1521, 1056, 2079, 2009, 2138, 2619, 2453, 2360, 2242, 2812, 2012, 1996, 2436, 999, 2129, 10059, 1998, 7591, 2122, 3017, 5130, 2064, 2022, 1012, 2021, 2045, 2003, 2178, 2350, 6980, 1999, 2023, 5981, 1010, 5307, 2178, 2177, 1024, 1996, 3652, 2193, 1997, 4841, 2040, 5684, 5637, 3510, 1012, 1996, 3160, 2005, 2068, 2003, 2129, 2000, 7438, 2216, 2040, 21090, 2007, 2068, 1012, 16067, 5253, 1521, 1055, 13229, 6903, 2006, 9857, 2305, 2001, 1037, 14954, 14614, 1997, 2023, 6980, 1012, 5253, 4778, 4575, 1056, 1012, 5143, 1010, 1037, 2861, 1011, 2095, 1011, 2214, 3507, 2013, 1996, 4348, 3192, 1010, 2006, 2010, 2565, 2000, 5981, 1996, 3277, 1012, 2021, 5253, 2106, 2025, 2031, 5143, 2000, 4133, 2012, 1037, 2795, 2007, 2032, 1998, 10514, 4371, 2030, 2386, 1010, 1996, 6079, 1011, 2095, 1011, 2214, 3361, 11972, 1010, 2040, 2003, 5637, 1012, 2612, 1010, 5143, 2001, 2872, 2055, 2321, 2519, 2185, 2013, 5253, 1998, 2030, 2386, 1010, 2426, 1996, 4378, 1010, 1998, 2018, 2000, 5981, 2013, 1037, 3292, 1012, 1996, 4471, 1010, 1999, 2119, 1996, 2653, 2109, 2011, 5253, 1998, 2030, 2386, 1010, 1998, 1996, 3558, 11073, 1997, 5143, 2006, 1996, 2275, 1010, 2001, 3154, 1024, 2027, 2245, 2032, 28980, 14092, 1012, 7871, 21146, 18505, 1010, 1996, 4116, 2400, 1011, 3045, 4543, 1006, 1523, 13606, 18098, 4710, 1524, 1007, 1010, 2170, 2720, 1012, 14925, 5484, 2078, 2197, 2733, 1998, 2056, 2008, 2002, 2052, 2025, 2292, 2010, 2147, 2022, 2864, 1999, 1996, 4258, 1012, 1523, 1045, 2001, 8796, 2007, 2769, 2081, 2125, 2026, 2147, 2108, 2109, 2000, 2404, 9147, 1999, 1996, 4552, 1010, 1524, 2720, 1012, 21146, 18505, 2056, 1012, 2002, 2794, 1010, 2174, 1010, 2008, 1996, 2972, 2792, 2187, 2032, 1523, 6171, 11587, 1524, 2138, 1997, 1996, 4022, 2005, 25748, 2114, 5637, 2015, 2040, 11456, 2720, 1012, 14925, 5484, 2078, 1521, 1055, 13445, 1012, 1523, 2009, 2097, 2025, 2393, 2256, 3426, 2138, 2057, 2097, 2022, 11180, 3599, 2004, 2054, 2057, 2020, 2667, 2000, 2954, 1010, 1524, 2056, 2720, 1012, 21146, 18505, 1010, 2040, 2003, 5637, 1012, 1523, 2021, 1045, 2079, 2903, 2045, 3310, 1037, 2051, 2043, 2017, 3685, 4133, 2067, 1998, 5138, 2054, 1045, 2228, 2003, 1996, 2087, 4795, 2433, 1997, 2502, 4140, 2854, 1012, 1524, 6343, 2988, 2008, 14925, 5484, 2078, 2018, 2042, 5905, 1997, 12318, 2111, 1999, 1996, 16165, 2007, 2502, 4140, 2854, 1012, 2043, 2009, 2150, 2124, 2008, 2002, 2106, 2025, 2490, 7020, 2213, 1010, 1998, 2435, 2769, 2000, 1996, 3049, 2000, 2644, 2009, 1010, 2002, 2001, 15055, 2000, 12897, 1010, 2030, 2156, 1996, 5145, 2002, 2499, 2005, 9868, 1012, 3883, 6294, 27889, 1010, 2040, 2318, 1996, 3424, 1011, 14925, 5484, 2078, 6186, 1010, 5838, 2000, 1996, 8172, 1024, 2021, 2016, 2106, 2025, 13566, 2000, 2486, 14925, 5484, 2078, 2000, 12897, 1012, 1523, 1045, 2123, 1521, 1056, 2228, 2009, 2001, 10334, 1521, 1055, 3125, 1010, 1524, 2016, 2056, 1012, 1523, 1045, 1521, 1049, 2428, 6517, 1012, 1045, 2228, 3660, 2003, 1037, 2204, 2158, 1012, 1045, 2228, 2002, 15958, 14977, 2055, 1996, 3004, 1012, 1045, 2228, 2002, 1521, 1055, 2204, 2012, 2010, 3105, 1012, 1524, 2016, 2794, 2008, 2018, 2002, 2025, 5295, 1010, 2174, 1010, 1523, 1045, 2113, 2045, 2024, 2111, 2040, 2052, 2025, 2031, 2042, 8510, 1012, 1524, 3835, 2476, 2017, 2031, 2045, 1010, 2720, 1012, 14925, 5484, 2078, 1012, 2469, 2052, 2022, 1037, 9467, 2005, 2242, 2000, 4148, 2000, 2009, 1012, 3835, 2449, 2017, 2031, 2045, 1010, 15111, 4825, 3208, 3203, 1012, 2469, 2052, 2022, 1037, 9467, 2000, 2031, 2009, 3908, 1012, 7624, 1521, 1055, 12087, 2003, 4487, 7741, 2368, 8918, 1012, 1045, 2963, 2035, 1996, 2051, 2013, 3412, 11992, 1999, 2536, 4249, 1517, 1999, 3327, 2865, 1998, 16926, 1517, 2040, 2024, 4452, 2000, 26056, 2037, 2219, 9029, 2055, 2168, 1011, 3348, 3510, 2138, 2087, 2111, 2306, 2216, 4249, 5136, 4559, 2000, 7020, 2213, 2000, 2022, 5533, 9578, 2011, 11150, 1012, 3041, 2023, 2095, 1010, 1045, 2018, 1037, 4512, 2007, 1037, 2158, 2040, 2003, 2763, 1996, 2087, 8885, 1998, 13675, 14728, 19909, 2098, 3423, 6288, 1045, 1521, 2310, 2412, 2777, 1010, 2619, 2040, 2003, 2112, 1997, 2023, 2406, 1521, 1055, 2375, 7069, 1012, 1996, 2755, 2008, 1045, 2064, 1521, 1056, 6709, 2032, 2182, 1010, 2030, 2131, 2046, 3563, 2015, 1997, 2054, 2002, 2409, 2033, 1010, 7127, 2242, 2590, 2055, 1996, 4785, 2306, 2375, 7925, 2105, 2023, 3277, 1012, 2006, 2023, 3277, 1010, 2002, 3268, 1999, 1996, 9346, 1010, 2061, 2000, 3713, 1010, 2306, 2010, 2658, 7925, 1010, 1998, 4541, 2000, 2033, 2339, 2009, 2038, 2468, 2205, 4795, 2000, 2202, 1037, 3151, 2923, 3233, 1999, 2375, 7925, 1010, 4983, 2028, 2003, 4810, 2000, 20223, 2028, 1521, 1055, 2476, 1012, 1999, 1996, 2379, 2925, 1010, 2375, 5445, 2746, 2013, 2375, 2816, 2008, 2123, 1521, 1056, 25276, 2440, 1011, 2006, 2000, 1996, 2047, 26582, 2006, 5637, 2916, 1006, 2065, 2151, 4839, 1007, 2097, 2022, 2579, 2004, 5667, 2011, 1996, 3423, 9518, 2004, 5445, 2013, 3960, 3557, 2118, 2024, 1012, 2002, 2036, 2056, 2008, 3412, 11992, 2428, 2123, 1521, 1056, 3305, 1996, 12584, 2964, 2008, 1521, 1055, 2055, 2000, 2272, 2012, 2068, 1012, 3432, 21358, 27972, 2075, 2054, 2037, 4752, 12011, 2055, 13798, 1999, 6123, 1997, 1996, 5637, 2916, 5981, 2428, 2003, 1010, 1998, 2097, 6233, 2022, 1010, 2464, 2025, 2004, 3350, 1997, 2028, 1521, 1055, 3532, 3241, 1010, 2021, 2738, 2004, 3350, 1997, 2028, 1521, 1055, 3167, 4763, 1012, 1045, 2409, 2032, 2008, 1045, 3305, 2009, 1010, 2138, 1045, 1521, 2310, 2464, 1996, 2168, 2518, 2377, 2041, 1999, 2026, 9518, 1012, 1045, 3855, 2619, 1045, 2113, 2040, 2573, 1999, 1037, 2047, 2259, 2739, 9954, 1010, 2012, 1037, 3026, 2504, 1010, 2040, 3268, 1999, 1996, 9346, 2004, 2019, 11295, 1010, 2041, 1997, 3571, 1997, 2014, 8628, 4083, 1996, 3606, 1517, 2023, 1010, 2445, 2037, 10132, 1011, 5228, 8741, 2005, 11295, 2015, 1012, 1045, 3855, 2178, 2767, 1010, 1037, 5637, 1011, 3510, 10129, 2013, 2178, 2047, 2259, 2739, 9954, 1010, 2040, 2409, 2033, 2025, 2146, 3283, 2008, 2045, 2003, 2053, 2282, 2045, 2005, 24116, 2006, 2168, 1011, 3348, 3510, 1012, 2035, 4559, 2000, 1996, 2047, 26582, 2003, 2579, 2004, 1037, 12633, 1997, 2028, 1521, 1055, 2502, 4140, 2854, 1012, 2515, 4080, 7624, 2025, 2113, 2023, 1029, 2045, 2031, 2042, 7564, 1997, 2111, 1999, 1996, 3522, 2627, 5627, 2000, 2191, 9918, 2005, 1996, 3151, 3017, 3193, 1997, 3348, 1998, 13798, 1010, 2021, 1996, 2173, 2122, 9918, 2024, 2081, 1999, 2256, 3226, 1517, 1999, 1996, 2865, 1517, 2038, 2042, 24436, 2030, 10420, 2000, 2068, 1012, 1045, 2391, 4080, 2000, 1996, 29071, 2415, 1521, 1055, 2817, 2013, 2197, 2095, 1010, 4760, 2008, 2865, 6325, 2006, 2168, 1011, 3348, 3510, 2013, 1037, 4187, 2558, 2027, 3273, 12287, 1996, 4013, 1011, 7020, 2213, 2597, 2011, 2274, 1011, 2000, 1011, 2028, 1012, 2023, 2785, 1997, 2518, 6433, 2043, 1996, 2865, 2031, 2787, 2008, 1996, 2060, 2217, 2038, 2053, 2597, 4276, 5962, 2000, 1012, 2038, 4080, 2412, 2042, 5561, 2011, 1037, 9280, 2476, 1011, 4566, 12087, 2008, 14026, 2010, 9029, 3443, 1037, 1523, 10420, 2147, 4044, 1524, 1029, 2009, 2038, 3047, 2000, 2033, 1006, 2295, 2025, 2055, 5637, 3314, 1007, 1025, 1045, 1521, 2310, 2657, 2013, 2500, 1517, 8141, 1997, 2023, 9927, 1998, 2111, 1045, 2031, 2777, 6974, 1517, 2040, 2031, 4320, 2714, 9597, 2043, 2009, 6003, 1999, 2037, 3182, 1997, 6107, 2008, 2037, 3167, 5328, 2123, 1521, 1056, 5993, 2007, 1996, 2047, 2679, 1011, 3348, 1011, 5907, 26582, 1012, 1037, 7470, 2094, 2934, 2040, 2003, 1037, 3017, 2409, 2033, 3728, 2008, 2065, 2010, 8628, 2354, 2008, 2002, 18335, 2007, 5637, 3510, 1010, 2002, 2052, 2025, 4558, 2010, 3105, 1006, 7470, 18227, 2032, 1007, 1010, 2021, 2002, 2052, 2022, 9808, 6494, 6895, 5422, 2306, 2010, 2267, 2004, 1037, 2502, 4140, 1012, 2009, 1521, 1055, 2200, 1010, 2200, 3733, 2005, 1996, 2969, 1011, 4846, 4080, 1010, 2040, 2003, 2006, 1996, 2373, 1011, 3173, 2217, 1997, 2023, 3451, 8522, 1010, 2000, 17183, 11219, 2004, 1523, 10059, 1998, 16021, 6132, 13043, 1524, 2111, 2040, 2227, 2613, 1998, 3278, 2658, 8465, 2005, 2037, 3412, 24116, 1012, 2009, 2089, 2991, 2000, 2068, 2000, 17216, 2037, 10922, 2000, 3233, 2039, 2005, 2054, 2027, 2903, 2000, 2022, 2995, 1012, 2021, 2065, 2027, 2024, 2183, 2000, 2079, 2008, 1010, 2027, 2323, 2012, 2560, 2031, 1037, 9608, 3246, 2008, 2037, 9918, 2097, 2022, 5667, 2641, 1012, 2008, 1521, 1055, 1037, 9951, 2518, 2000, 3246, 2005, 1999, 2256, 2865, 4785, 2651, 1012, 2021, 2009, 2003, 4895, 29427, 1997, 4080, 2000, 4339, 2004, 2065, 2010, 2217, 2003, 2025, 16625, 1037, 2613, 3465, 2006, 2111, 2040, 2130, 2002, 14600, 2024, 2025, 2995, 2502, 12868, 1010, 3432, 2005, 14026, 2037, 3017, 9029, 1012, 8135, 1998, 2060, 3151, 5130, 2020, 3308, 2000, 2031, 5698, 3550, 5637, 2111, 1999, 1996, 2627, 1010, 1998, 3140, 2068, 2000, 2444, 1999, 1996, 9346, 2005, 3571, 1997, 2037, 10922, 1012, 2136, 4080, 5637, 2916, 10134, 2106, 1037, 2843, 1997, 2204, 2147, 2000, 2203, 2023, 4785, 1997, 3571, 1010, 1998, 2000, 5256, 1996, 2717, 1997, 2149, 2039, 2000, 1996, 8438, 1997, 2256, 5637, 3428, 1998, 5208, 1010, 1998, 2000, 3623, 13986, 2005, 2068, 1012, 2021, 2009, 2003, 2000, 2136, 4080, 1521, 1055, 2037, 2307, 5860, 5596, 4183, 2008, 2027, 2031, 2580, 1037, 4785, 1997, 2046, 3917, 6651, 1998, 1010, 2748, 1010, 11150, 1010, 2008, 10255, 3151, 2923, 8135, 2046, 2658, 9346, 2015, 1997, 2037, 2219, 1012, 2009, 2052, 2079, 4080, 2204, 2000, 3357, 2648, 1997, 2010, 16392, 1011, 2874, 4665, 1011, 5887, 11957, 1010, 1998, 4952, 2000, 10774, 1998, 2060, 8135, 2040, 2024, 2025, 2225, 12691, 8050, 5130, 1010, 1998, 2040, 2024, 4452, 2000, 3233, 2039, 2005, 2054, 2027, 2903, 1999, 2138, 1997, 1996, 8465, 2027, 2903, 1996, 2047, 12584, 2964, 2003, 3497, 2000, 17607, 1012, 2021, 1045, 1521, 1049, 2036, 11587, 2011, 1996, 8053, 14726, 3768, 1997, 5952, 1010, 20201, 3490, 16383, 1010, 1998, 13986, 6913, 2011, 2116, 5637, 3510, 13010, 1012, 2023, 2200, 2172, 2950, 2928, 3312, 8665, 1010, 2888, 16248, 1010, 1998, 2500, 2040, 2024, 24867, 2068, 2006, 1012, 5560, 4092, 1010, 2005, 2035, 1997, 2680, 2529, 2381, 2127, 1037, 3232, 1997, 5109, 3283, 1010, 8990, 2053, 2028, 2130, 21474, 1996, 6061, 2008, 15667, 2015, 2453, 6148, 2000, 5914, 1010, 2292, 2894, 11886, 2009, 1012, 1999, 2008, 4766, 8487, 1997, 2051, 1517, 1037, 29407, 12373, 1997, 2019, 3239, 1999, 3451, 3408, 1517, 5637, 3510, 2038, 2908, 2013, 2108, 2019, 23060, 24335, 14604, 2078, 2000, 1037, 2973, 4507, 1999, 2195, 2163, 1998, 2019, 5145, 3970, 2011, 2350, 6447, 2030, 13994, 6447, 1999, 2087, 15982, 7236, 1012, 2065, 2008, 3475, 1521, 1056, 1037, 3451, 4329, 1010, 2059, 2498, 2003, 1012, 2748, 1010, 2009, 1521, 1055, 2145, 14128, 1012, 2021, 2012, 2023, 3446, 1010, 8253, 3165, 1521, 1055, 2268, 17547, 2008, 5637, 3510, 2052, 2022, 3970, 1999, 2035, 2753, 2163, 2011, 16798, 2549, 2003, 2183, 2000, 6011, 2000, 2022, 2205, 21877, 18719, 23738, 2594, 1012, 1998, 2664, 1010, 2008, 3544, 2000, 2022, 13990, 2005, 2070, 5637, 3510, 20401, 1012, 2027, 2123, 1521, 1056, 2074, 2215, 2000, 2663, 1996, 3423, 2157, 2000, 5914, 1012, 2027, 2123, 1521, 1056, 2074, 2215, 2087, 4841, 2000, 6807, 1998, 21358, 27972, 1996, 5020, 13372, 1997, 2037, 6550, 1012, 2027, 3711, 2000, 2215, 1998, 5987, 2035, 4841, 2000, 6807, 1998, 21358, 27972, 2008, 5020, 13372, 1010, 2104, 6531, 1997, 9808, 6494, 22987, 2213, 2013, 25825, 2166, 1012, 10651, 1012, 1016, 1024, 4952, 1010, 1045, 1521, 1049, 2025, 2183 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5024, 5949, 2968, 8519, 5024, 5949, 2968, 1999, 21271, 9337, 1010, 9108, 2489, 3976, 14686, 1010, 2655, 2085, 999, 2342, 5024, 5949, 2968, 1999, 21271, 9337, 1029, 2057, 2031, 1996, 4012, 25531, 2389, 1998, 5647, 15653, 6238, 2326, 2017, 2342, 1999, 21271, 9337, 1010, 9108, 1012, 2012, 5024, 1059, 2213, 1010, 2057, 29453, 2000, 3288, 2017, 1996, 2190, 2326, 2012, 1996, 2190, 3976, 2800, 1012, 2057, 2031, 1037, 2898, 4989, 1997, 15653, 6238, 10826, 1999, 4518, 1999, 21271, 9337, 1010, 9108, 1010, 2007, 12379, 1004, 5199, 3051, 15373, 1998, 6959, 1012, 2507, 2149, 1037, 3046, 2651, 1998, 2017, 2097, 2025, 2022, 9364, 1012, 2507, 2149, 1037, 2655, 2651, 2005, 1037, 2489, 15653, 6238, 14686, 1012, 1006, 6070, 2620, 1007, 26839, 1011, 4229, 2575, 2683, 2062, 2055, 2149, 5024, 1059, 2213, 2038, 2081, 2009, 3565, 3435, 1998, 3733, 2000, 9278, 1037, 15653, 6238, 1012, 2017, 2069, 2342, 1019, 2781, 999, 2043, 2017, 2024, 9278, 2075, 1037, 1019, 1010, 2184, 1010, 2321, 1010, 2322, 1010, 2382, 2030, 2871, 4220, 15653, 6238, 1010, 2017, 2215, 1037, 2194, 2017, 2064, 3404, 2007, 7597, 2008, 2191, 2017, 2868, 1012, 2507, 2149, 1037, 2655, 2651, 1998, 2156, 1996, 4489, 2057, 2064, 2191, 1999, 2115, 2279, 2810, 2030, 4550, 2041, 2622, 1012, 2489, 16053, 3432, 2507, 2149, 1037, 2655, 1998, 2057, 2097, 2393, 2017, 3275, 2041, 2115, 15653, 6238, 12635, 3791, 1012, 25732, 6959, 2256, 15653, 15608, 2788, 2175, 2041, 2168, 1011, 2154, 2030, 2279, 1011, 2154, 5834, 2006, 2043, 2017, 2655, 1012, 6975, 20874, 2057, 3073, 2327, 1011, 18624, 2326, 1010, 2096, 2183, 3733, 2006, 2115, 3953, 2240, 1012, 2054, 2062, 2071, 2017, 3198, 2005, 1029, 2038, 25016, 1011, 2489, 13063, 2256, 4738, 9224, 2024, 2182, 2000, 2507, 2017, 1037, 3435, 1998, 2038, 25016, 1011, 2489, 3325, 2013, 2707, 2000, 3926, 1012, 2131, 1037, 15653, 6238, 14686, 2085, 999, 9224, 2024, 3061, 2011, 2256, 15653, 6238, 15744, 2024, 3403, 2011, 1996, 3042, 2000, 2393, 2017, 2131, 2318, 1012, 2174, 1010, 2045, 2003, 2070, 2590, 2592, 2057, 2342, 2077, 2057, 2064, 2507, 2017, 1037, 3976, 14686, 1998, 6959, 2051, 1012, 2070, 2477, 2057, 2342, 2000, 2113, 1024, 2054, 2946, 15653, 6238, 2017, 2097, 2342, 2054, 2017, 2933, 2006, 5128, 1999, 2115, 15653, 6238, 2043, 2017, 2342, 2149, 2000, 4530, 2115, 4897, 2125, 11661, 2125, 2129, 2146, 2017, 2933, 2006, 4363, 2115, 4897, 1011, 2125, 2103, 1004, 14101, 3642, 2073, 2017, 2933, 2006, 6885, 2115, 15653, 6238, 3201, 2000, 2131, 2318, 1029, 15653, 15608, 2024, 2800, 1008, 1999, 21271, 9337, 1010, 9108, 1012, 3432, 2507, 2149, 1037, 2655, 2085, 2012, 2000, 2131, 2318, 999, 2057, 2097, 2393, 2017, 4060, 1037, 15653, 6238, 2005, 2115, 3791, 1010, 6134, 2115, 6959, 1998, 2202, 7909, 1529, 2035, 1999, 2625, 2084, 2184, 2781, 999, 14101, 9537, 1999, 2326, 2181, 2489, 3976, 14686, 1010, 2655, 2085, 999, 15653, 6238, 12635, 18558, 2415, 2559, 2005, 1037, 2210, 2062, 15653, 6238, 12635, 18558, 1010, 10247, 1998, 12225, 1010, 1998, 2190, 6078, 1029, 11562, 1037, 21628, 2682, 999, 4638, 2067, 5570, 2182, 2005, 15653, 6238, 12635, 1998, 2188, 7620, 10247, 1998, 12225, 2000, 2191, 2469, 2017, 2131, 1996, 2087, 2041, 1997, 2115, 2279, 15653, 6238, 12635, 999, 15653, 2115, 15653, 6238, 2007, 1037, 5949, 10095, 1999, 21271, 9337, 1010, 9108, 5949, 2993, 2003, 3383, 1996, 5221, 3277, 2008, 2003, 28252, 1996, 3086, 2013, 1996, 2878, 2088, 1012, 2157, 13148, 1999, 2023, 7013, 11669, 2003, 2028, 3176, 5023, 7669, 2008, 2003, 6885, 1996, 2622, 10489, 2012, 2307, 27630, 1012, 2312, 6197, 1997, 4937, 19070, 17835, 2039, 5383, 9426, 27446, 5167, 2004, 2092, 2004, 22382, 3243, 1037, 3105, 2000, 1996, 4708, 3954, 1012, 2028, 2442, 5047, 3243, 1037, 2261, 3314, 2074, 2066, 10549, 1996, 2157, 12206, 8026, 1010, 13148, 1996, 1037, 10228, 1997, 11669, 12246, 1010, 1006, 7670, 6410, 2393, 1007, 1010, 27017, 2000, 6366, 1999, 1996, 15653, 2015, 1010, 11147, 3471, 2007, 1996, 3518, 3691, 1010, 5372, 13148, 4198, 2007, 11669, 2011, 3432, 17874, 1012, 2035, 2122, 3314, 2031, 2000, 2031, 1037, 2843, 1997, 2051, 2004, 2092, 2004, 5211, 1999, 7189, 2000, 2049, 2769, 1999, 9669, 1996, 3891, 1012, 5949, 2968, 2003, 2019, 3277, 2008, 2035, 2188, 1011, 5608, 2031, 2000, 3066, 2007, 2004, 2092, 2004, 4531, 1996, 2190, 4118, 2000, 6366, 2115, 2219, 11669, 2003, 4187, 1012, 2007, 1996, 4803, 11669, 8190, 1999, 3655, 1010, 4531, 1996, 2087, 15189, 1010, 15184, 3971, 1997, 4487, 13102, 18606, 1997, 2115, 2219, 5949, 2003, 8995, 1012, 2478, 1996, 2578, 1997, 1037, 2047, 11669, 10095, 9298, 2097, 5676, 2008, 2115, 11669, 2064, 2022, 3856, 2039, 2004, 2092, 2004, 21866, 1997, 1999, 1996, 2190, 2825, 6028, 1012, 24156, 27520, 2007, 1997, 2122, 2502, 6197, 1997, 11669, 3031, 15653, 3727, 1996, 7396, 2007, 10444, 1012, 1996, 8013, 2108, 11499, 1997, 1996, 3327, 10228, 27031, 6537, 1010, 2058, 11066, 2015, 1996, 3327, 11661, 2007, 2035, 1996, 6808, 1997, 7079, 2125, 1996, 11669, 2007, 2028, 10838, 1012, 1996, 8013, 2097, 2763, 2022, 7944, 1999, 2000, 1037, 4795, 25652, 2065, 2009, 2003, 2025, 2579, 2729, 1997, 7919, 1012, 1996, 2902, 5571, 3825, 2005, 2000, 9526, 2122, 6441, 2097, 2763, 2022, 3313, 1996, 3815, 1997, 2115, 10995, 1012, 2633, 1996, 2711, 2064, 2468, 5938, 2502, 7680, 1997, 2769, 4117, 2007, 1996, 6114, 8760, 2349, 2000, 10444, 1012, 1999, 2804, 2000, 2108, 6179, 1999, 1037, 3872, 2504, 3168, 1010, 15653, 15608, 2064, 2036, 2022, 2307, 2005, 2512, 1011, 3115, 11669, 2030, 10231, 8208, 1012, 3832, 2005, 2673, 2013, 3698, 13148, 2005, 2017, 2000, 7390, 12206, 1010, 15653, 15608, 2064, 2202, 2412, 20744, 1012, 2007, 2087, 5024, 5949, 2968, 1999, 21271, 9337, 1010, 9108, 5661, 1010, 2004, 2146, 2004, 2027, 4906, 1999, 1996, 15653, 6238, 1010, 2017, 4148, 2000, 2022, 2204, 2000, 2175, 1012, 1996, 3145, 5770, 1997, 2383, 1037, 15653, 6238, 1999, 2023, 2433, 1997, 3663, 2003, 2008, 2017, 2123, 1005, 1056, 2342, 2000, 8572, 2055, 2893, 1996, 4031, 2030, 3688, 1999, 3160, 2125, 2013, 2115, 3200, 1012, 2045, 2003, 2025, 2151, 10578, 2157, 2039, 2019, 2214, 3698, 1010, 2005, 2742, 1010, 2893, 2009, 2875, 1996, 15653, 2030, 2130, 17874, 2415, 1998, 4895, 18570, 2023, 1012, 2017, 2074, 2342, 2000, 2031, 1996, 10439, 15204, 3401, 2030, 2130, 7390, 3538, 2006, 2115, 15653, 6238, 1012, 1996, 2194, 3087, 9278, 1996, 15653, 6238, 3081, 2097, 2202, 2729, 1997, 2023, 2013, 2045, 1012, 1999, 3408, 1997, 2893, 9436, 1997, 6937, 5167, 1010, 15440, 1037, 15653, 6238, 2003, 2028, 1997, 1996, 21304, 1010, 2087, 3465, 1011, 4621, 1010, 1998, 2116, 8114, 15955, 2017, 2031, 1012, 2296, 2051, 1037, 2449, 2030, 2130, 2188, 3954, 11214, 1996, 2946, 1997, 15653, 6238, 2037, 3200, 5942, 1010, 2027, 2059, 2031, 2000, 2707, 12843, 12635, 3316, 1012, 1996, 5221, 2518, 2008, 20487, 12635, 3316, 2008, 2453, 4025, 2714, 2071, 2022, 1996, 2326, 1012, 1996, 2711, 9278, 2075, 1996, 15653, 6238, 2323, 2113, 3251, 2027, 2052, 2066, 1996, 2972, 15653, 6238, 2000, 2022, 5892, 1998, 1037, 4435, 2047, 2028, 2404, 1999, 1996, 2173, 2296, 2309, 4060, 2039, 1010, 2030, 2065, 3383, 1996, 15653, 6238, 2027, 2031, 2288, 2097, 2022, 24694, 2094, 2046, 1037, 4060, 2039, 4744, 1998, 2404, 2067, 2049, 3962, 1012, 2028, 2590, 5783, 1997, 5024, 5949, 2968, 1999, 21271, 9337, 1010, 9108, 2003, 2383, 1037, 2193, 1997, 10826, 2881, 2005, 3316, 2005, 2017, 2000, 9278, 1012, 2116, 3182, 2079, 2025, 2342, 1996, 5221, 15653, 6238, 9530, 3401, 11444, 3468, 2000, 4848, 1996, 5918, 1012, 2043, 1996, 3813, 2003, 11925, 2000, 2131, 1037, 5024, 5949, 2968, 1999, 21271, 9337, 1010, 9108, 1010, 1996, 2034, 2518, 2008, 2097, 2763, 2022, 6936, 1005, 1055, 2054, 2946, 2003, 2734, 1012, 2065, 2017, 2024, 21888, 2004, 2000, 2054, 2946, 2003, 2941, 2734, 1010, 1037, 4387, 2013, 1996, 2194, 2089, 3711, 2041, 2004, 2092, 2004, 14358, 1996, 2436, 1998, 3749, 1996, 2946, 1997, 2052, 2022, 6413, 1012, 2279, 2154, 15653, 6238, 12635, 15106, 1999, 21271, 9337, 2017, 2089, 3265, 25805, 2015, 2007, 5374, 1010, 12436, 1010, 2030, 5887, 1998, 2017, 2097, 2052, 2066, 2000, 2424, 4248, 2279, 2154, 15653, 15608, 2000, 9278, 1012, 11210, 1999, 1996, 2088, 2115, 2099, 2188, 2003, 1037, 15653, 6238, 2097, 2393, 2017, 2562, 2115, 2622, 3048, 1012, 1037, 9768, 18015, 8208, 2194, 3227, 2097, 3073, 2489, 1997, 3715, 10035, 1012, 1996, 3643, 2097, 2022, 2241, 2006, 1996, 3815, 1997, 11809, 1998, 2828, 4198, 2007, 4475, 2000, 4298, 2022, 3718, 1012, 5678, 1010, 12711, 5366, 2323, 2022, 2306, 1996, 10197, 1010, 2061, 2045, 2024, 2053, 8277, 2091, 1996, 2240, 1012, 3816, 2224, 15653, 15608, 2024, 2025, 2800, 1999, 2471, 2035, 2163, 1012, 2083, 1996, 2035, 4127, 1997, 3252, 4475, 2029, 2411, 3685, 2022, 2855, 5459, 8821, 2038, 2000, 4298, 2022, 21866, 1997, 2004, 1037, 2878, 1012, 17874, 4198, 2007, 5949, 4475, 2003, 1037, 2995, 5848, 2122, 2420, 1012, 1037, 2843, 2062, 2017, 2064, 5664, 1998, 5547, 1010, 28667, 2100, 14321, 2005, 5356, 1998, 5271, 1010, 1996, 2488, 2125, 1997, 3071, 2003, 1012, 2009, 2036, 2515, 27749, 2115, 5029, 1012, 2009, 2089, 2202, 1037, 2210, 2062, 2051, 1010, 6600, 2009, 2064, 2036, 2022, 6082, 2320, 2017, 2113, 3599, 2073, 2017, 1005, 2128, 2006, 2607, 2007, 2008, 13891, 2030, 2452, 2030, 18676, 1011, 3886, 2030, 28568, 2121, 2030, 6436, 11297, 2030, 2613, 3776, 4005, 1010, 4385, 1012, 2017, 2069, 2031, 2000, 2507, 2017, 1996, 6265, 1010, 4596, 1998, 21705, 2005, 2115, 2485, 9064, 1998, 14412, 2015, 2000, 2393, 2017, 2007, 1996, 2810, 1997, 2115, 2188, 1012, 4340, 2011, 2054, 6067, 2017, 2342, 2672, 2017, 2031, 2525, 2246, 2105, 2005, 1996, 2190, 3688, 2004, 2092, 2004, 1996, 2190, 7597, 1012, 2013, 2051, 2000, 2051, 2004, 2057, 4638, 2105, 2256, 2188, 1998, 2036, 3200, 2057, 2131, 1996, 9075, 2000, 15389, 1037, 16030, 9344, 1012, 1996, 9075, 5373, 6433, 2043, 3500, 2003, 1999, 1996, 2250, 1010, 2021, 2009, 2064, 2202, 2173, 15933, 2320, 2057, 5382, 2008, 1996, 3857, 6279, 1997, 6524, 2109, 1998, 3714, 2091, 10238, 1998, 4515, 2031, 2074, 2764, 2000, 2022, 1037, 2843, 1997, 1012, 2021, 2079, 3342, 2008, 2151, 3635, 1999, 9987, 1997, 1996, 13630, 3206, 3408, 2478, 1996, 2326, 10802, 2064, 2022, 2017, 2007, 28007, 1037, 26215, 3815, 1010, 3568, 2009, 2003, 2467, 2488, 5724, 2000, 2175, 2007, 1037, 2210, 3618, 7451, 15653, 6238, 4102, 2000, 2941, 2003, 3517, 1012, 2028, 2062, 5783, 2008, 2323, 2025, 2022, 15486, 2003, 2467, 4975, 1037, 4638, 2007, 1996, 3327, 5024, 5949, 2968, 1999, 21271, 9337, 2326, 10802, 7175, 1996, 11385, 2008, 2024, 7936, 1012, 2009, 2003, 4748, 11365, 3085, 2000, 4638, 1996, 7936, 1998, 2053, 7936, 5167, 2138, 2116, 3032, 27590, 2367, 2610, 2015, 1997, 17731, 1037, 19621, 2000, 2070, 5167, 2066, 12141, 1010, 17678, 7231, 1010, 20631, 1010, 1998, 2060, 11704, 2030, 13109, 3286, 24088, 12141, 1012, 4897, 2125, 1997, 15653, 15608, 2024, 7594, 2011, 1996, 11712, 1997, 11919, 4210, 4276, 1997, 5949, 2027, 2097, 3573, 1999, 1996, 4950, 1010, 5373, 7801, 1999, 2184, 1010, 2322, 1010, 4228, 1998, 5659, 2274, 4220, 4275, 1012, 2122, 2785, 1997, 15653, 15608, 2097, 2022, 7775, 2025, 2074, 2011, 1996, 3815, 1997, 3558, 11385, 2027, 2097, 2907, 1010, 2174, 2011, 1996, 6638, 2920, 2036, 1012, 2007, 4919, 3082, 6177, 2066, 5509, 2723, 1010, 16143, 2442, 2069, 2022, 8209, 2105, 8576, 1010, 4728, 2635, 2068, 4332, 2046, 18636, 1012, 2195, 18015, 8208, 3316, 3073, 4450, 1010, 1998, 3568, 2027, 1005, 2222, 2025, 3432, 3073, 1996, 15653, 6238, 1998, 6366, 1996, 11669, 1010, 2174, 2027, 1005, 2222, 7297, 2393, 2017, 2907, 5167, 2041, 1997, 1996, 2188, 2000, 1996, 15136, 12819, 2030, 15653, 6238, 1012, 2298, 2012, 3251, 2017, 1005, 2222, 2342, 2023, 2326, 5834, 2006, 1996, 4094, 1999, 1996, 4550, 5833, 1998, 2115, 2155, 1998, 2036, 2814, 1005, 3754, 2000, 14570, 2023, 3082, 8783, 4426, 1012, 2009, 2097, 2763, 3465, 2062, 1010, 6600, 2009, 2064, 2131, 1996, 3105, 2589, 4089, 1012, 3602, 2008, 2043, 2017, 1005, 2128, 7079, 2005, 4450, 1010, 2926, 2065, 2017, 1005, 2128, 7079, 2566, 3178, 1010, 2017, 2089, 2025, 2031, 1996, 4495, 2000, 2202, 1996, 2051, 2000, 3945, 2083, 2296, 5308, 1998, 2000, 2618, 1999, 3945, 1997, 6832, 5167, 1012, 15653, 6238, 12635, 2015, 1011, 1037, 2193, 1997, 2590, 2685, 1999, 21271, 9337, 1010, 9108, 2116, 4398, 3934, 7166, 2000, 2022, 2318, 2302, 2383, 4041, 2005, 5372, 11385, 15106, 1012, 2788, 1010, 9625, 5949, 2003, 2941, 11122, 2098, 2041, 2000, 1996, 5025, 13730, 2007, 1996, 2801, 2008, 2028, 2154, 2051, 1996, 2103, 2097, 2202, 2185, 2122, 5167, 2247, 2007, 27764, 1997, 2122, 2012, 1996, 5101, 28382, 2030, 3383, 13148, 4322, 1012, 2096, 2074, 2055, 2296, 3250, 2003, 4310, 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, 4955, 1063, 1001, 10819, 8889, 2692, 2629, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 9706, 10893, 16340, 21709, 12377, 1041, 1006, 1008, 9706, 8913, 1008, 1007, 4962, 2038, 2042, 6118, 20467, 1999, 21901, 1005, 1055, 4295, 1006, 4748, 1007, 1998, 1999, 26906, 1012, 1008, 9706, 8913, 1008, 2038, 2093, 26572, 18078, 3596, 1010, 1008, 1115, 1008, 1016, 1010, 1008, 1115, 1008, 1017, 1010, 1998, 1008, 1115, 1008, 1018, 1010, 2029, 2031, 1037, 6075, 1999, 1996, 2236, 4969, 2313, 1997, 1022, 1012, 1018, 1003, 1010, 6255, 1012, 1023, 1003, 1010, 1998, 2410, 1012, 1021, 1003, 1032, 1031, 1031, 1030, 25416, 8889, 2487, 1033, 1032, 1033, 1012, 11363, 1997, 1996, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 2035, 12260, 2024, 2012, 1037, 3020, 3891, 1997, 4748, 1032, 1031, 1031, 1030, 25416, 8889, 2475, 1033, 1032, 1033, 6168, 2216, 2040, 4287, 1996, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1016, 2035, 12260, 2024, 2245, 2000, 2022, 5123, 2013, 1996, 4295, 1006, 5816, 2000, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1017, 1998, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 11363, 1007, 1032, 1031, 1031, 1030, 25416, 8889, 2509, 1033, 1032, 1033, 1012, 2913, 1997, 3080, 3633, 2031, 2179, 2008, 1996, 6075, 1997, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 2003, 2896, 1998, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1016, 2003, 3020, 2084, 1999, 1996, 2236, 2313, 1032, 1031, 1031, 1030, 25416, 8889, 2549, 1033, 1032, 1033, 1012, 2116, 2913, 2031, 8920, 1996, 8924, 2090, 1008, 9706, 8913, 1008, 8991, 26305, 1998, 13356, 2007, 2411, 19326, 9556, 1012, 13458, 1011, 2898, 2523, 2913, 2031, 5799, 1008, 9706, 8913, 1008, 2007, 26906, 1032, 1031, 1031, 1030, 25416, 8889, 2629, 1033, 1032, 1033, 1012, 2009, 2038, 2042, 2988, 2008, 11363, 1997, 1996, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 2035, 12260, 3280, 3041, 2084, 3517, 1032, 1031, 1031, 1030, 25416, 8889, 2575, 1033, 1032, 1033, 1010, 6168, 2060, 2913, 2424, 3041, 2287, 2012, 2331, 2069, 1999, 2216, 2007, 1996, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 1013, 1008, 1115, 1008, 1018, 8991, 26305, 1032, 1031, 1031, 1030, 25416, 8889, 2581, 1033, 1032, 1033, 1012, 1037, 2817, 2559, 2012, 2093, 2981, 2522, 27794, 2015, 2013, 3304, 1010, 3577, 1010, 1998, 2900, 5531, 2008, 26906, 2001, 19762, 3378, 2007, 1996, 1008, 1115, 1008, 1018, 2035, 12260, 1998, 13567, 3378, 2007, 1996, 1008, 1115, 1008, 1016, 2035, 12260, 1032, 1031, 1031, 1030, 25416, 8889, 2620, 1033, 1032, 1033, 1012, 6660, 1010, 2178, 2817, 2988, 2008, 6034, 26906, 2001, 19762, 3378, 2007, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 1013, 1008, 1115, 1008, 1018, 1010, 1008, 1115, 1008, 1017, 1013, 1008, 1115, 1008, 1018, 1010, 1998, 1008, 1115, 1008, 1016, 1013, 1008, 1115, 1008, 1018, 8991, 26305, 2015, 6168, 2045, 2001, 1037, 3893, 2523, 2090, 26906, 1998, 1996, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1016, 1013, 1008, 1115, 1008, 1017, 8991, 26305, 1032, 1031, 1031, 1030, 25416, 8889, 2683, 1033, 1032, 1033, 1012, 2174, 1010, 8924, 2090, 2287, 2012, 2331, 1998, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 2035, 12260, 1006, 1055, 1007, 2020, 2025, 2179, 1999, 2060, 2913, 2241, 2006, 3633, 2058, 1996, 2287, 1997, 5594, 1032, 1031, 1031, 1030, 25416, 24096, 2692, 1033, 1032, 1033, 1010, 4496, 2020, 2027, 2179, 2043, 7161, 2000, 2522, 14343, 13806, 1008, 9706, 8913, 1008, 11163, 22694, 1010, 2287, 1010, 1998, 3798, 1997, 2668, 16480, 4244, 27833, 1032, 1031, 1031, 1030, 25416, 24096, 2475, 1033, 1032, 1033, 1012, 1999, 1996, 2556, 2817, 1010, 2057, 2031, 10847, 6550, 2090, 1008, 9706, 8913, 1008, 8991, 26305, 1998, 2287, 2012, 2331, 1999, 2119, 10699, 2135, 3671, 1998, 10699, 2135, 18234, 3633, 8733, 1999, 1996, 5087, 2849, 1997, 1996, 14332, 2005, 28767, 2470, 1006, 1038, 13626, 1007, 4746, 1998, 2118, 1997, 5087, 20134, 2817, 1997, 26497, 1999, 3671, 7965, 2214, 2287, 1006, 8529, 29358, 2050, 1007, 1012, 2057, 4208, 16552, 2006, 2216, 3633, 2007, 4748, 19314, 1006, 2302, 9530, 9006, 25451, 2102, 2030, 3905, 4130, 20792, 1007, 1998, 2216, 2007, 19314, 2641, 3671, 2005, 2287, 1012, 1996, 2364, 8704, 1997, 1996, 2817, 2020, 2000, 14358, 1996, 10266, 2090, 1008, 9706, 8913, 1008, 8991, 26305, 1998, 2287, 2177, 2012, 2331, 1006, 6535, 2086, 1998, 2104, 1010, 3770, 1011, 1011, 6486, 2086, 1010, 1998, 3938, 2086, 1998, 2058, 1007, 1998, 8556, 1996, 4254, 1997, 10699, 25172, 2006, 2151, 8924, 2179, 1012, 4475, 1998, 4725, 1063, 1001, 10819, 8889, 10790, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 2556, 2817, 13585, 1996, 8529, 29358, 2050, 1998, 1996, 5087, 2849, 1997, 1996, 1038, 13626, 2522, 27794, 2015, 1012, 4751, 7175, 6612, 6459, 1998, 11265, 10976, 15069, 10091, 2838, 1997, 2122, 2522, 27794, 2015, 2031, 2042, 3591, 2011, 1996, 6048, 6974, 1032, 1031, 1031, 1030, 25416, 24096, 2509, 1033, 1032, 1033, 1012, 1996, 2817, 2001, 4844, 2011, 5087, 4167, 2924, 2968, 2837, 1006, 28667, 4431, 2539, 1013, 11265, 1013, 6185, 20958, 1007, 1012, 2104, 3785, 3530, 2007, 1996, 2470, 9615, 2837, 1010, 1996, 5087, 4167, 2924, 2064, 4425, 2951, 2000, 6950, 1010, 2302, 2151, 9095, 2005, 6950, 2000, 6611, 14258, 2000, 1996, 28667, 2005, 6226, 1012, 2005, 1038, 13626, 1010, 6818, 9601, 10699, 20794, 2593, 3081, 7026, 4357, 2030, 3081, 1037, 3942, 2000, 1996, 13180, 1005, 1055, 2188, 1012, 4751, 1997, 10699, 20794, 2031, 2042, 3130, 2649, 1032, 1031, 1031, 1030, 25416, 24096, 2475, 1033, 1032, 1033, 1012, 2005, 8529, 29358, 2050, 1010, 10699, 3570, 2012, 2331, 2001, 4137, 2478, 1037, 5257, 1997, 2197, 6310, 7026, 6602, 2005, 10699, 3570, 1006, 14841, 6169, 2213, 1007, 3556, 1010, 5776, 3964, 4663, 3081, 1996, 6818, 1005, 2236, 18742, 1010, 3426, 1997, 2331, 2004, 2680, 2006, 1996, 2331, 8196, 1998, 2592, 4227, 2013, 1996, 4167, 2924, 10669, 1006, 13866, 1007, 1012, 11265, 10976, 15069, 10091, 7667, 1063, 1001, 10819, 8889, 16068, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2695, 5302, 19731, 2213, 7667, 1997, 1996, 3633, 1999, 2122, 2522, 27794, 2015, 2038, 2042, 3130, 2649, 1032, 1031, 1031, 1030, 25416, 24096, 2549, 1033, 1032, 1033, 1012, 10465, 9181, 2020, 2109, 2000, 5323, 1996, 3739, 1998, 2754, 1997, 11265, 10976, 3207, 6914, 25284, 7870, 1998, 8292, 2890, 12618, 12044, 15431, 19314, 1012, 2005, 1996, 3800, 1997, 2023, 2817, 1010, 2057, 12421, 2035, 3572, 2073, 1996, 3078, 11265, 10976, 15069, 10091, 11616, 2001, 2025, 4748, 1998, 2036, 12421, 4748, 3572, 2073, 2045, 2001, 2151, 9530, 9006, 25451, 2102, 2030, 3905, 19314, 1006, 2060, 2084, 18439, 6864, 27710, 17076, 3695, 20166, 2030, 2235, 6258, 4295, 1007, 1012, 2057, 2443, 3572, 1997, 3078, 2287, 1011, 3141, 19982, 29477, 16921, 1010, 12520, 1011, 3141, 19982, 28625, 29480, 20166, 1010, 1998, 15291, 2594, 1011, 21047, 2287, 1011, 3141, 14595, 2361, 1011, 4724, 4372, 3401, 21890, 4135, 20166, 2349, 2000, 1996, 2755, 2008, 2027, 2024, 4659, 2691, 2287, 1011, 3141, 4130, 20792, 1012, 1996, 2048, 7552, 2522, 27794, 2015, 2747, 15821, 17222, 5739, 1012, 2044, 11243, 1996, 2682, 15945, 9181, 1010, 1037, 2561, 1997, 17691, 6818, 1006, 6391, 1038, 13626, 1998, 5818, 8529, 29358, 2050, 1007, 2020, 2641, 7792, 2005, 1996, 2556, 2817, 1006, 1031, 26215, 2795, 1015, 1033, 1006, 1001, 1055, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1007, 1012, 2122, 2020, 2059, 2358, 8609, 7810, 2046, 2967, 2241, 2006, 2287, 2012, 2331, 1024, 6535, 2086, 1998, 2104, 1010, 3770, 1011, 1011, 6486, 2086, 1010, 1998, 3938, 2086, 1998, 2058, 1012, 9706, 8913, 8991, 4140, 22571, 2075, 1063, 1001, 10819, 8889, 11387, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 6064, 2001, 15901, 2013, 7708, 4167, 8153, 2478, 2417, 10288, 6494, 6593, 1011, 1050, 1011, 23713, 30108, 8153, 7473, 2099, 8934, 1006, 13201, 1007, 2030, 2013, 2668, 1006, 8529, 29358, 2050, 1011, 1011, 1017, 3572, 1007, 1012, 1996, 1008, 9706, 8913, 1008, 8991, 26305, 2001, 4340, 2478, 9410, 17782, 11022, 4677, 4668, 1006, 7473, 2099, 1007, 4725, 1032, 1031, 1031, 1030, 25416, 24096, 2575, 1033, 1032, 1033, 1012, 7778, 4106, 1063, 1001, 10819, 8889, 17788, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 12874, 1005, 1055, 9610, 1011, 19942, 3231, 2001, 2109, 2000, 12826, 15982, 2838, 1012, 2023, 3231, 2001, 2036, 2109, 2000, 17908, 3251, 2045, 2020, 5966, 2090, 19173, 1997, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1018, 1998, 1008, 9706, 8913, 1008, 1008, 1115, 1008, 1016, 11363, 1999, 1996, 2536, 2287, 2012, 2331, 2967, 1012, 1008, 1056, 1008, 1011, 3231, 2001, 2109, 2000, 10782, 2090, 5966, 1999, 2812, 2287, 2012, 2331, 2005, 1008, 9706, 8913, 1008, 8991, 26305, 2015, 2119, 3452, 1998, 2358, 8609, 7810, 2011, 10699, 3570, 1012, 1037, 1008, 1052, 1008, 3643, 1997, 1032, 1026, 1014, 1012, 5709, 2001, 2641, 3278, 2005, 2035, 5852, 1012, 3463, 1063, 1001, 10819, 8889, 14142, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 28321, 1063, 1001, 10819, 8889, 19481, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 15982, 2592, 1010, 2358, 8609, 7810, 2011, 2287, 2177, 2012, 2331, 1010, 2064, 2022, 2179, 1999, 1031, 2795, 1015, 1033, 1006, 1001, 4748, 2099, 1011, 1018, 1011, 4748, 2099, 28332, 11387, 2509, 1011, 1056, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 2045, 2020, 5966, 1999, 3348, 6463, 2043, 13599, 2216, 6535, 2086, 1998, 2104, 2007, 2216, 3770, 1011, 1011, 6486, 2086, 1006, 1008, 1177, 1008, 1034, 1016, 1034, 1027, 1018, 1012, 2423, 1025, 1008, 1052, 1008, 1027, 1014, 1012, 6021, 2683, 1007, 1998, 2007, 2216, 3938, 2086, 1998, 2058, 1006, 1008, 1177, 1008, 1034, 1016, 1034, 1027, 1018, 1012, 6275, 1025, 1008, 1052, 1008, 1027, 1014, 1012, 6185, 2683, 1007, 2007, 3767, 6037, 2062, 4703, 1999, 1996, 6535, 2086, 1998, 2104, 2177, 1998, 3801, 2058, 3421, 1999, 1996, 3770, 1011, 1011, 6486, 2086, 1998, 3938, 2086, 1998, 2058, 2967, 1012, 2174, 1010, 2045, 2020, 2053, 5966, 1999, 1996, 3348, 6463, 2090, 2216, 3770, 1011, 1011, 6486, 2086, 1998, 2216, 3938, 2086, 1998, 2058, 1006, 1008, 1177, 1008, 1034, 1016, 1034, 1027, 1014, 1012, 6021, 1025, 1008, 1052, 1008, 1027, 1014, 1012, 6564, 2683, 1007, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 3937, 28321, 1997, 1996, 17691, 7792, 6818, 3975, 2011, 2287, 2177, 2012, 2331, 2287, 2177, 2012, 2331, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3348, 3287, 2603, 5179, 1012, 1015, 2656, 4029, 1012, 1015, 2484, 4090, 1012, 1022, 2931, 2324, 4724, 1012, 1023, 4805, 6191, 1012, 1023, 3429, 3515, 1012, 1016, 10699, 3570, 3671, 2385, 4464, 1012, 1014, 4261, 4868, 1012, 1018, 3429, 3515, 1012, 1016, 18234, 2423, 6079, 1012, 1014, 3486, 4466, 1012, 1020, 2484, 4090, 1012, 1022, 1996, 10817, 1997, 10699, 2135, 18234, 3633, 2001, 2896, 1999, 1996, 3938, 2086, 1998, 2058, 2287, 2177, 2043, 4102, 2007, 1996, 6535, 2086, 1998, 2104, 2287, 2177, 1006, 1008, 1177, 1008, 1034, 1016, 1034, 1027, 1021, 1012, 2403, 1025, 1008, 1052, 1008, 1027, 1014, 1012, 4002, 2620, 1007, 1012, 2053, 2060, 5966, 1999, 10699, 3570, 2020, 6835, 2090, 1996, 2287, 2967, 1012, 9706, 8913, 8991, 26305, 4353, 1063, 1001, 10819, 8889, 12740, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 6075, 1998, 4353, 1997, 1008, 9706, 8913, 1008, 8991, 26305, 1010, 2358, 8609, 7810, 2011, 10699, 3570, 1010, 2064, 2022, 2179, 1999, 1031, 2795, 1016, 1033, 1006, 1001, 4748, 2099, 1011, 1018, 1011, 4748, 2099, 28332, 11387, 2509, 1011, 1056, 8889, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 1996, 2087, 2691, 1008, 9706, 8913, 1008, 8991, 26305, 2001, 1017, 1013, 1017, 1006, 5187, 1012, 1016, 1003, 1007, 1998, 1996, 2560, 2691, 2001, 1016, 1013, 1016, 1006, 1015, 1012, 1015, 1003, 1007, 1012, 2043, 20253, 2035, 7792, 6818, 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, 2184, 1037, 5387, 1997, 1020, 1013, 1053, 1009, 17696, 1013, 2410, 1029, 6270, 2003, 6391, 1037, 5387, 1997, 5018, 2683, 1013, 1023, 1011, 1006, 1006, 1011, 2871, 1007, 1013, 1006, 1011, 2484, 1007, 1009, 1011, 1016, 1007, 1029, 2995, 6814, 1047, 1009, 1016, 1027, 1017, 1012, 2292, 1043, 1006, 1052, 1007, 1027, 2656, 1008, 1052, 1008, 1008, 1016, 1009, 1015, 1012, 2292, 1055, 2022, 1043, 1006, 1047, 1007, 1012, 6814, 3590, 1008, 1038, 1011, 1055, 1008, 1038, 1011, 5018, 1027, 1014, 1012, 2515, 2321, 11443, 1038, 1029, 2995, 2292, 1055, 1027, 1011, 22238, 1009, 17696, 1012, 2292, 1060, 1027, 2531, 1009, 1055, 1012, 2003, 1060, 1037, 3674, 1997, 2321, 1029, 2995, 2292, 1051, 2022, 1022, 1013, 1006, 1011, 1016, 1007, 1011, 1006, 1018, 1009, 1011, 1018, 1007, 1012, 2292, 1059, 2022, 1006, 1011, 1018, 1007, 1013, 1006, 1011, 2484, 1007, 1008, 1051, 1008, 1011, 1017, 1012, 6814, 1011, 1059, 1008, 1060, 1009, 1060, 1009, 4229, 1027, 1014, 1012, 2515, 2385, 11443, 1060, 1029, 6270, 2292, 1044, 1027, 1011, 12094, 1009, 27810, 2620, 1012, 2003, 1044, 1037, 3674, 1997, 2322, 1029, 2995, 2292, 1060, 1006, 1037, 1007, 1027, 1037, 1008, 1008, 1016, 1011, 1018, 1008, 1037, 1011, 1022, 1012, 2292, 1051, 1006, 1054, 1007, 1027, 1011, 1016, 1008, 1054, 1008, 1008, 1016, 1009, 1018, 1008, 1054, 1009, 1022, 1012, 2292, 1052, 1006, 1038, 1007, 1027, 1011, 1016, 1008, 1051, 1006, 1038, 1007, 1011, 1017, 1008, 1060, 1006, 1038, 1007, 1012, 2003, 2385, 1037, 5387, 1997, 1052, 1006, 1011, 1023, 1007, 1029, 6270, 2292, 1050, 2022, 1006, 1023, 1013, 1006, 1011, 2538, 1007, 1007, 1013, 1006, 1006, 1011, 1017, 1007, 1013, 2538, 1007, 1011, 1011, 10114, 2509, 1012, 2003, 1015, 1013, 1006, 1011, 1018, 1007, 1011, 1050, 1013, 1006, 1011, 1022, 1007, 1037, 3674, 1997, 2539, 1029, 2995, 2003, 1006, 25256, 1013, 1006, 1011, 1018, 1007, 1007, 1013, 1006, 1006, 1011, 2603, 1007, 1013, 6445, 2620, 1007, 1037, 3674, 1997, 2260, 1029, 2995, 6814, 1017, 1008, 1047, 1011, 2324, 1027, 1017, 1008, 1054, 1011, 1020, 1008, 1054, 1010, 2184, 1027, 1019, 1008, 1054, 1011, 1019, 1008, 1047, 1012, 6814, 1014, 1027, 1011, 1052, 1009, 1040, 1011, 7287, 1009, 25717, 1010, 1011, 4293, 2629, 1027, 1011, 1019, 1008, 1052, 1011, 1019, 1008, 1040, 1012, 6814, 1011, 1058, 1011, 1054, 1008, 1058, 1027, 1011, 1052, 1012, 2515, 2340, 11443, 1058, 1029, 6270, 2292, 1049, 1006, 1061, 1007, 1027, 1011, 1061, 1008, 1008, 1016, 1009, 1016, 1008, 1061, 1009, 2654, 1012, 2292, 1053, 2022, 1049, 1006, 1011, 2385, 1007, 1012, 2292, 1037, 1027, 24673, 1009, 1053, 1012, 6814, 1014, 1027, 1011, 1014, 1008, 1038, 1009, 1019, 1008, 1038, 1011, 1037, 1012, 2003, 2676, 1037, 5387, 1997, 1038, 1029, 2995, 2292, 1052, 2022, 3438, 2629, 1013, 1018, 1009, 1023, 1013, 2260, 1012, 6814, 1014, 1008, 1045, 1009, 17613, 1027, 1017, 1008, 1045, 1012, 2292, 1055, 1027, 1052, 1011, 1045, 1012, 2003, 2484, 1037, 5387, 1997, 1055, 1029, 6270, 2292, 1051, 2022, 1006, 1006, 1006, 1011, 14078, 1007, 1013, 1017, 1007, 1013, 1006, 1011, 1016, 1007, 1007, 1013, 1016, 1012, 2292, 1038, 1027, 1011, 2260, 1009, 1051, 1012, 2292, 1053, 1027, 1038, 1009, 1019, 1012, 2515, 1016, 11443, 1053, 1029, 2995, 6814, 1014, 1027, 1038, 1011, 6079, 1011, 1017, 1012, 6814, 1016, 1008, 1056, 1027, 1011, 1014, 1008, 1056, 1009, 1016, 1008, 1054, 1009, 1038, 1010, 1011, 1017, 1008, 1056, 1009, 1054, 1027, 1011, 5818, 1012, 2292, 1050, 1027, 1056, 1011, 1023, 1012, 2003, 1050, 1037, 3674, 1997, 2260, 1029, 2995, 6814, 4090, 1008, 1037, 1027, 2861, 1008, 1037, 1009, 28122, 1012, 2515, 2654, 11443, 1037, 1029, 2995, 2292, 1059, 1027, 1011, 6163, 1009, 18914, 1012, 2003, 1017, 1037, 5387, 1997, 1059, 1029, 6270, 2292, 1049, 1027, 6390, 1011, 5388, 1012, 2292, 1051, 1027, 1011, 2654, 1009, 2322, 1012, 2292, 1053, 1027, 1049, 1009, 1051, 1012, 2003, 1053, 1037, 3674, 1997, 1019, 1029, 2995, 2515, 2340, 11443, 1006, 27502, 1013, 1006, 1011, 1016, 1007, 1007, 1013, 1023, 1008, 1006, 1011, 17295, 1007, 1013, 2324, 1029, 2995, 2292, 1037, 1006, 1046, 1007, 1027, 1011, 1019, 1008, 1046, 1008, 1008, 1017, 1011, 1017, 1008, 1046, 1008, 1008, 1016, 1011, 1018, 1008, 1046, 1009, 1019, 1012, 2292, 1042, 2022, 1037, 1006, 1015, 1007, 1012, 2292, 1062, 2022, 1006, 1011, 1016, 1009, 1011, 1015, 1007, 1008, 1006, 1011, 1016, 1007, 1013, 1006, 1011, 1017, 1007, 1012, 2003, 2321, 1037, 5387, 1997, 1015, 1013, 1062, 1008, 5139, 2575, 1013, 1042, 1029, 6270, 6814, 1011, 2403, 1008, 1052, 1011, 22777, 2629, 1027, 1011, 2861, 1008, 1052, 1012, 2515, 1017, 11443, 1052, 1029, 2995, 2292, 1053, 1006, 1039, 1007, 1027, 2656, 1008, 1039, 1009, 20304, 1012, 2003, 2570, 1037, 5387, 1997, 1053, 1006, 1011, 1021, 1007, 1029, 6270, 6814, 4229, 2475, 1009, 25586, 1027, 1011, 1022, 1008, 1045, 1012, 2292, 1060, 1027, 1045, 1009, 25926, 1012, 2515, 4008, 11443, 1060, 1029, 6270, 6814, 1014, 1008, 1056, 1011, 1016, 1027, 1056, 1012, 2003, 1011, 1016, 1011, 1006, 1056, 1011, 1011, 16065, 1007, 1013, 1006, 1011, 1017, 1007, 1037, 3674, 1997, 2423, 1029, 6270, 6814, 1011, 1019, 1008, 1038, 1027, 1011, 1014, 1008, 1045, 1009, 1016, 1008, 1045, 1011, 20802, 1010, 1018, 1008, 1038, 1009, 1019, 1008, 1045, 1011, 12862, 1027, 1014, 1012, 6814, 4601, 1027, 1017, 1008, 1039, 1011, 1019, 1008, 1062, 1011, 2423, 1010, 1014, 1027, 1016, 1008, 1039, 1011, 1062, 1011, 4261, 1012, 2292, 1046, 1027, 1038, 1011, 1039, 1012, 2003, 1023, 1037, 5387, 1997, 1046, 1029, 6270, 2292, 1040, 1006, 1058, 1007, 2022, 1996, 2034, 13819, 1997, 1021, 1008, 1058, 1008, 1008, 1017, 1013, 1017, 1011, 1016, 1008, 1058, 1008, 1008, 1016, 1011, 1020, 1008, 1058, 1011, 1016, 1012, 2003, 1019, 1037, 5387, 1997, 1040, 1006, 1017, 1007, 1029, 2995, 2292, 1059, 1006, 1044, 1007, 1027, 1011, 1018, 1008, 1044, 1008, 1008, 1016, 1009, 2184, 1008, 1044, 1011, 1022, 1012, 6814, 1014, 1008, 1060, 1011, 2184, 1027, 1019, 1008, 1060, 1012, 2292, 1054, 1006, 1050, 1007, 1027, 2538, 1008, 1050, 1008, 1008, 1016, 1011, 2753, 1008, 1050, 1009, 4464, 1012, 2292, 1038, 1006, 1053, 1007, 1027, 1060, 1008, 1054, 1006, 1053, 1007, 1011, 2340, 1008, 1059, 1006, 1053, 1007, 1012, 2515, 2340, 11443, 1038, 1006, 1020, 1007, 1029, 2995, 2292, 1053, 1006, 1045, 1007, 1027, 1011, 1045, 1009, 2260, 1012, 2292, 1049, 1006, 1056, 1007, 1027, 1011, 1017, 1008, 1056, 1009, 2484, 1012, 2292, 1043, 1006, 1052, 1007, 1027, 1017, 1008, 1049, 1006, 1052, 1007, 1011, 1019, 1008, 1053, 1006, 1052, 1007, 1012, 2515, 1022, 11443, 1043, 1006, 1011, 2539, 1007, 1029, 2995, 2003, 4090, 1037, 5387, 1997, 1006, 1011, 1017, 1007, 1013, 1006, 1006, 1011, 1023, 1007, 1013, 4868, 2487, 1007, 1008, 1006, 6391, 1009, 1011, 6282, 1007, 1029, 6270, 2292, 1047, 1006, 1040, 1007, 1027, 4749, 1008, 1040, 1008, 1008, 1016, 1011, 1022, 1008, 1040, 1011, 2459, 1012, 2003, 1047, 1006, 1011, 1018, 1007, 1037, 3674, 1997, 4700, 1029, 2995, 2292, 1050, 1027, 1019, 1011, 1017, 1012, 6814, 1045, 1011, 2459, 1008, 1048, 1027, 1011, 2410, 1008, 1048, 1009, 16327, 1010, 1011, 27519, 1027, 1011, 1050, 1008, 1045, 1009, 1048, 1012, 2003, 1045, 1037, 3674, 1997, 2676, 1029, 6270, 6814, 1017, 1008, 1046, 1027, 1020, 1008, 1046, 1011, 2382, 1012, 2292, 1042, 1006, 1055, 1007, 1027, 1011, 1055, 1008, 1008, 1016, 1009, 1022, 1008, 1055, 1009, 1022, 1012, 2292, 1051, 2022, 1042, 1006, 1046, 1007, 1012, 2292, 1050, 1027, 1014, 1011, 1051, 1012, 2003, 1050, 1037, 3674, 1997, 1017, 1029, 2995, 2292, 1048, 1006, 1040, 1007, 1027, 5388, 1008, 1040, 1011, 1022, 1012, 6814, 1057, 1009, 1022, 1027, 1018, 1008, 1038, 1010, 2184, 1027, 1016, 1008, 1038, 1009, 1017, 1008, 1038, 1009, 1057, 1012, 2003, 1022, 1037, 5387, 1997, 1048, 1006, 1038, 1007, 1029, 6270, 2292, 1040, 2022, 2260, 1013, 2385, 1008, 1006, 1018, 1009, 1011, 1022, 1007, 1012, 2515, 2322, 11443, 1006, 1011, 1021, 1011, 1040, 1007, 1013, 1018, 1008, 12457, 1013, 1006, 1011, 1016, 1007, 1029, 6270, 6814, 4008, 1009, 6191, 1027, 1053, 1012, 2003, 1053, 1037, 3674, 1997, 4583, 1029, 6270, 2292, 1055, 1027, 1011, 6275, 2629, 1011, 1011, 23980, 2487, 1012, 2003, 2382, 1037, 5387, 1997, 1055, 1029, 6270, 6814, 1045, 1027, 1017, 1010, 1016, 1008, 1047, 1009, 1019, 1008, 1045, 1027, 19827, 1009, 21005, 1012, 2003, 1020, 1037, 5387, 1997, 1047, 1029, 2995, 2292, 1046, 2022, 1015, 1013, 1006, 1011, 1016, 1007, 1011, 3943, 1013, 1006, 1011, 1020, 1007, 1012, 6814, 1057, 1011, 5179, 1027, 1011, 1016, 1008, 1049, 1009, 4749, 1010, 1011, 1016, 1008, 1057, 1027, 1011, 1019, 1008, 1049, 1011, 22238, 1012, 6814, 1011, 1038, 1011, 1018, 1008, 1038, 1011, 1018, 1008, 1050, 1027, 1011, 1057, 1010, 1046, 1008, 1038, 1011, 1019, 1008, 1050, 1027, 13741, 1012, 2003, 2184, 1037, 5387, 1997, 1038, 1029, 6270, 2292, 1053, 1006, 1038, 1007, 1027, 1023, 1008, 1038, 1008, 1008, 1016, 1009, 4601, 1008, 1038, 1009, 4090, 1012, 2292, 1061, 1006, 1042, 1007, 1027, 1020, 1008, 1042, 1008, 1008, 1016, 1009, 2676, 1008, 1042, 1009, 2603, 1012, 2292, 1046, 1006, 1045, 1007, 1027, 1019, 1008, 1053, 1006, 1045, 1007, 1011, 1021, 1008, 1061, 1006, 1045, 1007, 1012, 2292, 1039, 1027, 6146, 2620, 1009, 1011, 6255, 2629, 1012, 2003, 1046, 1006, 1039, 1007, 1037, 3674, 1997, 2340, 1029, 2995, 6814, 1018, 1008, 1056, 1011, 5179, 1011, 4466, 1027, 1014, 1012, 2515, 4413, 11443, 1006, 1056, 1013, 1018, 1007, 1013, 1006, 1006, 1011, 1017, 1007, 1013, 1006, 1011, 6275, 1007, 1007, 1011, 1015, 1029, 2995, 2292, 1052, 1027, 1011, 2260, 1011, 1011, 2385, 1012, 2292, 1051, 2022, 1011, 1016, 1008, 1052, 1013, 1006, 1011, 1022, 1007, 1009, 1022, 1012, 6814, 6227, 1027, 2410, 1008, 1060, 1011, 1051, 1008, 1060, 1012, 2003, 1021, 1037, 5387, 1997, 1060, 1029, 6270, 2292, 1044, 1006, 1046, 1007, 1027, 1046, 1008, 1008, 1016, 1009, 1016, 1008, 1046, 1011, 2340, 1012, 6814, 1053, 1011, 3429, 1027, 1011, 2753, 1012, 2292, 1058, 2022, 1044, 1006, 1053, 1007, 1012, 6814, 2538, 1011, 6079, 1027, 1011, 1058, 1008, 1056, 1012, 2003, 1056, 1037, 3674, 1997, 1019, 1029, 2995, 2292, 1062, 1027, 5345, 2575, 1011, 3515, 2549, 1012, 2003, 3590, 1037, 5387, 1997, 1062, 1029, 6270, 6814, 1011, 1019, 1008, 1059, 1011, 1020, 1008, 1046, 1009, 1016, 1008, 1046, 1027, 1011, 2184, 1010, 1011, 1046, 1027, 1017, 1008, 1059, 1009, 1015, 1012, 2292, 1061, 2022, 1018, 1009, 1011, 1023, 1011, 1059, 1011, 1011, 4090, 2620, 1012, 6814, 1011, 1017, 1008, 1040, 1027, 1016, 1008, 1040, 1009, 1048, 1011, 1061, 1010, 1011, 1018, 1008, 1040, 1027, 1011, 1018, 1008, 1048, 1011, 22898, 1012, 2003, 1040, 1037, 3674, 1997, 2403, 1029, 6270, 6814, 1011, 1020, 1008, 1045, 1009, 2459, 1027, 1011, 1021, 1012, 2515, 1022, 11443, 1006, 1045, 1009, 1006, 1011, 2184, 1007, 1013, 1006, 1011, 1016, 1007, 1007, 1008, 1006, 1011, 2385, 1007, 1013, 1006, 1011, 1020, 1007, 1029, 2995, 2292, 1042, 1027, 2321, 1011, 2184, 1012, 2292, 1059, 2022, 1006, 1011, 1018, 1007, 1013, 2184, 1011, 2654, 1013, 1042, 1012, 2292, 1050, 1027, 4464, 1011, 1059, 1012, 2003, 1050, 1037, 3674, 1997, 2321, 1029, 2995, 2292, 1055, 1027, 1011, 8574, 1009, 24030, 1012, 2292, 1058, 1027, 4700, 1009, 1055, 1012, 2003, 1058, 1037, 3674, 1997, 2260, 1029, 2995, 6814, 1011, 1017, 1008, 1059, 1009, 1019, 1008, 1053, 1009, 16734, 1027, 1014, 1010, 1011, 1016, 1008, 1053, 1009, 10630, 1027, 1016, 1008, 1059, 1011, 1019, 1012, 2003, 1059, 2130, 1029, 6270, 6814, 1014, 1027, 1011, 1016, 1008, 1039, 1009, 1016, 1011, 1018, 1010, 1011, 1042, 1009, 4413, 2549, 1027, 1011, 1016, 1008, 1039, 1012, 2515, 2260, 11443, 1042, 1029, 6270, 6814, 1019, 1008, 1054, 1027, 1011, 1015, 1011, 1023, 1010, 1019, 1008, 1054, 1009, 4466, 21084, 1027, 1017, 1008, 1040, 1012, 2003, 4185, 1037, 5387, 1997, 1040, 1029, 6270, 2292, 1057, 1006, 1060, 1007, 1027, 1011, 6390, 1008, 1060, 1008, 1008, 1017, 1009, 1021, 1008, 1060, 1009, 1022, 1012, 2003, 2324, 1037, 5387, 1997, 1057, 1006, 1011, 1015, 1007, 1029, 2995, 6814, 1011, 4700, 1009, 11899, 1027, 1017, 1008, 1062, 1012, 6814, 1011, 1018, 1008, 1056, 1027, 1017, 1008, 1060, 1009, 2756, 1010, 1017, 1008, 1056, 1011, 1060, 1027, 1011, 1019, 1008, 1060, 1011, 1062, 1012, 2292, 1038, 1006, 1039, 1007, 1027, 1011, 1018, 1008, 1039, 1009, 1016, 1012, 2003, 1021, 1037, 5387, 1997, 1038, 1006, 1056, 1007, 1029, 6270, 2292, 1040, 1027, 6390, 2575, 1011, 4700, 2475, 1012, 2003, 1016, 1037, 5387, 1997, 1040, 1029, 2995, 2292, 1058, 1027, 1011, 5989, 1011, 1011, 19594, 1012, 2515, 2324, 11443, 1058, 1029, 6270, 2292, 1043, 1006, 1058, 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, 1015, 1012, 4955, 1063, 1001, 10819, 2487, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 26927, 2239, 7870, 2024, 12765, 11265, 10976, 3207, 6914, 25284, 10840, 2008, 2064, 7461, 2119, 4286, 1998, 4176, 1012, 1996, 26835, 19009, 1997, 26927, 2239, 7870, 5942, 1996, 7584, 1997, 3671, 12562, 26927, 2239, 5250, 1006, 10975, 15042, 1007, 2000, 2049, 4295, 1011, 3378, 11163, 14192, 1006, 10975, 4523, 2278, 1007, 1998, 2003, 5642, 2011, 2049, 20299, 1999, 1996, 14332, 1997, 5360, 11767, 1012, 1032, 1031, 1031, 1030, 29491, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 1996, 3739, 1997, 10975, 4523, 2278, 2522, 14343, 26786, 2007, 1999, 25969, 7730, 1032, 1031, 1031, 1030, 1038, 2475, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1010, 1998, 6516, 1010, 2009, 2003, 3373, 2000, 2022, 1996, 2364, 4005, 1997, 26927, 2239, 7870, 1012, 10975, 4523, 2278, 10637, 7704, 4013, 2618, 4747, 21252, 5012, 2114, 5250, 11022, 1047, 1006, 1052, 2243, 1007, 1010, 1998, 5250, 11022, 1011, 13070, 10975, 4523, 2278, 1006, 10975, 28994, 1007, 2038, 2042, 2641, 1037, 7505, 21799, 12115, 2005, 26927, 2239, 8985, 1012, 2195, 2913, 2031, 3491, 2008, 26927, 2239, 1999, 25969, 7730, 2515, 2025, 2467, 2522, 14343, 13806, 2092, 2007, 10975, 28994, 3798, 1032, 1031, 1031, 1030, 1038, 2509, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 1999, 3025, 15850, 2522, 14343, 26255, 2913, 2006, 16514, 14841, 7747, 1998, 10975, 28994, 3798, 1999, 26927, 2239, 1011, 10372, 4176, 1010, 1037, 7142, 3623, 1999, 10975, 28994, 3798, 2001, 5159, 2130, 2044, 1996, 16514, 14841, 3334, 2584, 1037, 9814, 1032, 1031, 1031, 1030, 1038, 2549, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1010, 1031, 1030, 1038, 2575, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1010, 1031, 1030, 1038, 2581, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 1999, 2804, 1010, 2152, 3798, 1997, 1999, 25969, 7730, 2007, 6151, 12870, 23576, 2030, 5186, 2659, 10975, 28994, 2020, 5159, 1999, 9099, 16505, 12328, 14026, 14163, 11467, 10975, 2361, 1052, 10790, 2487, 2140, 1006, 1056, 2290, 7886, 3363, 1007, 2007, 16216, 12096, 5804, 1011, 1011, 16423, 3917, 1011, 1011, 8040, 26496, 5484, 8715, 1032, 1031, 1031, 1030, 1038, 2620, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1010, 1031, 1030, 1038, 2683, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 2030, 25246, 2243, 15121, 2666, 1032, 1031, 1031, 1030, 29491, 2692, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 2613, 1011, 2051, 24209, 15495, 1011, 10572, 7584, 1006, 19387, 1011, 21864, 2278, 1007, 2003, 2028, 1997, 1996, 3117, 1999, 25714, 23713, 3669, 10803, 4632, 22916, 2008, 2001, 2764, 2241, 2006, 1996, 26927, 2239, 1011, 13916, 7584, 1997, 28667, 5358, 21114, 3372, 26927, 2239, 8171, 1006, 28667, 18098, 2361, 1007, 2000, 1996, 6864, 27710, 10882, 23736, 17305, 2433, 2011, 5513, 1032, 1031, 1031, 1030, 29491, 2487, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1010, 1031, 1030, 29491, 2475, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 2738, 2084, 1996, 12728, 3370, 2109, 1999, 2049, 2434, 4632, 4710, 1032, 1031, 1031, 1030, 29491, 2509, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 2045, 2003, 1037, 2844, 16902, 2090, 19387, 1011, 21864, 2278, 13433, 28032, 7730, 1998, 26927, 2239, 8985, 1012, 1996, 19387, 1011, 21864, 2278, 4632, 4710, 2038, 2042, 3491, 2000, 11487, 26927, 2239, 6534, 2075, 4023, 1999, 14095, 1998, 2303, 20989, 1997, 4176, 1998, 4286, 2007, 26927, 2239, 7870, 1010, 2007, 12411, 28032, 12848, 6447, 3020, 2084, 2216, 1997, 4111, 16012, 12054, 22916, 1032, 1031, 1031, 1030, 29491, 2487, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 2947, 1010, 19387, 1011, 21864, 2278, 2064, 2552, 2004, 1037, 2825, 14405, 6633, 11589, 6633, 3231, 2005, 26927, 2239, 4295, 1032, 1031, 1031, 1030, 29491, 2475, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1010, 2019, 9312, 6994, 2005, 21933, 12380, 22311, 3508, 4725, 1032, 1031, 1031, 1030, 29491, 2549, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1010, 1998, 1037, 3891, 7667, 5906, 2005, 24264, 13181, 16505, 26927, 2239, 6726, 3081, 14095, 1032, 1031, 1031, 1030, 29491, 2629, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 6195, 1996, 17289, 5860, 2890, 9739, 9243, 2090, 10975, 28994, 1998, 26927, 2239, 1999, 25969, 7730, 1010, 2009, 2003, 2590, 2000, 5323, 1996, 3276, 2090, 26927, 2239, 6534, 2075, 4023, 1998, 1999, 25969, 7730, 1012, 1037, 3025, 2817, 2988, 1037, 3553, 16902, 1997, 26927, 2239, 6534, 2075, 4023, 2007, 1999, 25969, 7730, 2084, 2007, 10975, 28994, 3798, 1010, 2004, 13224, 2011, 1996, 2714, 6534, 2075, 3450, 1999, 1996, 14332, 1997, 16621, 2050, 2030, 25246, 2243, 15121, 2666, 1011, 5360, 1056, 2290, 7886, 3363, 12328, 4820, 5662, 16514, 14841, 7747, 2021, 5860, 2890, 9739, 2102, 10975, 28994, 3798, 1032, 1031, 1031, 1030, 29491, 2575, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 2006, 1996, 2060, 2192, 1010, 2009, 2038, 2036, 2042, 2988, 2008, 26927, 2239, 1999, 25969, 7730, 2003, 5892, 2011, 1037, 4487, 11493, 25969, 4630, 2302, 22552, 6534, 2075, 4023, 1032, 1031, 1031, 1030, 29491, 2581, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 6516, 1010, 1996, 6801, 3276, 2090, 6534, 2075, 4023, 1998, 1999, 25969, 7730, 3464, 2000, 2022, 3449, 14194, 8524, 3064, 1012, 2348, 2051, 1011, 2607, 26927, 2239, 6534, 2075, 4023, 1999, 15121, 2666, 1011, 10372, 10654, 15608, 2038, 2042, 2649, 1032, 1031, 1031, 1030, 29491, 2620, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1010, 1996, 15850, 3276, 2090, 26927, 2239, 6534, 2075, 13004, 1998, 16514, 14841, 3334, 2038, 2025, 2664, 2042, 4340, 1012, 1999, 2256, 3025, 15850, 2817, 2006, 8000, 1011, 4233, 4556, 8945, 20534, 11867, 5063, 22631, 4372, 3401, 21890, 4135, 20166, 1006, 16914, 3366, 1007, 26927, 2239, 1010, 2057, 2988, 2008, 1996, 16514, 14841, 3334, 2584, 1037, 9814, 2012, 2531, 2420, 2695, 2378, 25969, 3258, 1006, 1040, 8197, 1007, 6168, 10975, 28994, 3798, 2020, 10843, 8319, 2875, 1996, 2203, 1997, 1996, 4297, 19761, 3508, 2558, 1010, 9104, 1996, 4895, 3597, 6279, 2989, 1997, 26927, 2239, 14841, 3334, 1998, 10975, 28994, 3798, 1032, 1031, 1031, 1030, 29491, 2683, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 1999, 2023, 2817, 1010, 2057, 4692, 2000, 5646, 1996, 20504, 2015, 1997, 26927, 2239, 6534, 2075, 4023, 1999, 1996, 14332, 1997, 2122, 12328, 1012, 2057, 4162, 2203, 8400, 29454, 13700, 19387, 1011, 21864, 2278, 2006, 4167, 24004, 6914, 8520, 2000, 6855, 1037, 6851, 10903, 1997, 6534, 2075, 3450, 2012, 4225, 14025, 2076, 1996, 4297, 19761, 3508, 2558, 1999, 12328, 1998, 14155, 1996, 15850, 6550, 2426, 6534, 2075, 13004, 1010, 10975, 28994, 3798, 1010, 1998, 26927, 2239, 14841, 3334, 1012, 1999, 2804, 1010, 2057, 10847, 1996, 16705, 1999, 6534, 2075, 21656, 3378, 2007, 1996, 7312, 1997, 10975, 28994, 3798, 2044, 2152, 1011, 3177, 9358, 3089, 11263, 12540, 1997, 4167, 24004, 6914, 8520, 1012, 1016, 1012, 3463, 1063, 1001, 10819, 2475, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1016, 1012, 1015, 1012, 19387, 1011, 21864, 2278, 10788, 1997, 16914, 3366, 1038, 2232, 1011, 5173, 6534, 2075, 4023, 1063, 1001, 10819, 2475, 27364, 2487, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1037, 3025, 2817, 5393, 2008, 19387, 1011, 21864, 2278, 2478, 1050, 1011, 5536, 2135, 25449, 10654, 6238, 28667, 5358, 21114, 3372, 10975, 2361, 22644, 3938, 1011, 1011, 20304, 1006, 28667, 18098, 2361, 1007, 2071, 11487, 1037, 8000, 1011, 4233, 15121, 2666, 28549, 2140, 10178, 1999, 3748, 1011, 2828, 12328, 1032, 1031, 1031, 1030, 1038, 11387, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 2000, 5646, 2065, 26927, 2239, 6534, 2075, 4023, 5173, 2013, 16914, 3366, 1999, 3729, 1011, 1015, 12328, 2064, 2022, 11156, 1010, 2057, 2864, 19387, 1011, 21864, 2278, 2478, 10654, 6238, 28667, 18098, 2361, 1012, 21864, 3372, 6279, 19341, 2618, 19387, 1011, 21864, 2278, 9597, 2020, 13916, 2007, 7642, 29454, 13700, 2015, 1997, 1996, 4167, 24004, 6914, 8520, 1006, 1038, 7898, 1007, 1997, 5536, 2135, 5665, 12328, 2007, 16914, 3366, 1006, 2013, 1037, 2184, 1034, 1597, 2475, 1034, 2000, 2184, 1034, 1597, 2683, 1034, 29454, 13700, 1997, 1037, 2184, 1003, 3635, 2566, 3872, 1038, 2232, 1007, 1012, 2057, 2109, 5986, 1011, 2092, 7766, 2013, 2093, 2843, 3616, 2005, 1996, 2176, 16478, 1012, 1999, 5903, 1010, 2057, 14155, 1996, 3466, 1997, 15544, 3619, 2075, 1996, 5986, 1011, 2092, 7766, 2007, 2019, 9078, 5524, 1011, 22886, 1015, 1013, 1023, 1006, 1058, 1013, 1058, 1007, 8150, 1010, 2004, 17443, 1998, 8628, 7645, 2008, 1996, 24054, 2100, 3466, 1997, 4167, 5423, 9821, 2006, 26927, 2239, 6864, 27710, 4195, 2064, 2022, 11113, 26565, 2478, 2019, 6544, 1011, 2241, 14676, 6028, 1032, 1031, 1031, 1030, 1038, 17465, 1011, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1033, 1032, 1033, 1012, 2007, 1996, 16914, 3366, 10178, 1010, 6534, 2075, 4023, 2001, 11156, 2478, 19387, 1011, 21864, 2278, 1998, 10654, 6238, 28667, 18098, 2361, 1012, 1996, 6864, 27710, 4195, 3446, 1010, 2029, 2003, 3421, 2011, 1996, 19262, 1997, 1996, 2051, 1006, 1044, 1007, 2005, 1996, 16215, 3695, 10258, 18891, 2078, 1056, 19857, 20030, 7755, 2000, 13467, 1996, 11207, 2005, 2169, 28024, 13916, 2007, 7642, 2135, 1011, 29454, 12926, 4167, 14095, 1010, 2003, 3491, 1999, 1031, 3275, 1015, 1033, 1006, 1001, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1011, 1042, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1037, 1012, 1996, 6864, 27710, 4195, 3446, 1010, 2029, 2001, 7594, 2478, 2512, 1011, 5845, 5986, 1011, 7051, 7766, 1010, 2018, 1037, 7399, 10788, 2846, 2013, 3263, 12835, 1006, 29454, 13700, 2015, 1997, 1015, 1095, 2184, 1034, 1597, 2509, 1034, 1007, 2000, 2322, 18720, 1006, 29454, 13700, 2015, 1997, 1015, 1095, 2184, 1034, 1597, 2581, 1034, 1007, 1006, 1031, 3275, 1015, 1033, 1006, 1001, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1011, 1042, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1038, 1007, 1012, 1996, 2193, 1997, 1996, 3893, 28024, 2015, 2318, 2000, 9885, 2012, 3263, 18720, 13916, 1010, 1998, 1996, 2812, 1081, 17371, 1997, 12341, 2386, 1011, 1011, 10556, 5677, 10035, 1997, 1996, 17371, 1066, 2753, 1066, 2566, 3131, 8153, 2001, 2184, 1012, 2321, 1081, 1014, 1012, 5757, 8833, 17371, 1066, 2753, 1066, 2566, 13250, 1997, 4167, 1006, 1031, 3275, 1015, 1033, 1006, 1001, 26835, 2015, 1011, 5641, 1011, 4002, 18827, 2487, 1011, 1042, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1039, 1007, 1012, 2044, 15544, 3619, 2075, 1996, 5986, 1011, 2092, 7766, 2007, 1996, 9078, 5524, 1011, 22886, 8150, 1010, 2057, 5159, 6022, 3020, 6165, 1997, 6864, 27710, 4195, 2013, 2184, 1034, 1597, 2509, 1034, 2000, 2184, 1034, 1597, 2581, 1034, 29454, 13700, 2015, 2084, 2216, 7594, 2478, 1996, 2512, 1011, 5845, 5986, 1011, 2092, 7766, 1012, 1996, 6864, 27710, 4195, 6165, 2008, 2020, 7594, 1999, 1996, 9078, 5524, 1011, 22886, 8150, 15544, 27730, 5986, 1011, 2092, 7766, 6913, 1037, 7399, 10788, 2846, 2013, 3263, 12835, 1006, 29454, 13700, 2015, 1997, 1015, 1095, 2184, 1034, 1597, 2509, 1034, 1007, 2000, 1016, 18720, 1006, 29454, 13700, 2015, 1997, 1015, 1095, 2184, 1034, 1597, 2620, 1034, 1007, 1012, 1999, 2804, 1010, 1996, 17371, 1066, 2753, 1066, 2566, 3131, 1997, 1996, 2168, 8153, 2001, 2340, 1012, 2321, 1081, 1014, 1012, 5757, 8833, 17371, 1066, 2753, 1066, 2566, 13250, 1997, 4167, 1010, 8131, 2008, 15544, 3619, 2075, 1996, 5986, 1011, 2092, 7766, 2007, 2019, 9078, 5524, 1011, 22886, 8150, 5301, 1996, 19387, 1011, 21864, 2278, 10788, 5787, 2011, 2019, 2344, 1997, 10194 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2656, 1038, 1012, 1054, 1012, 5401, 2575, 1006, 3172, 1007, 1999, 2128, 1041, 1012, 1039, 1012, 10728, 1010, 4297, 1012, 1010, 1041, 1012, 1039, 1012, 10728, 13608, 1010, 4297, 1012, 1010, 1041, 1012, 1039, 1012, 10728, 2248, 13058, 1012, 1010, 7016, 5668, 1012, 1041, 1012, 1039, 1012, 10728, 1010, 4297, 1012, 1010, 20579, 1010, 1058, 1012, 24665, 2819, 2386, 20440, 3840, 1010, 13474, 1012, 6512, 2053, 1012, 6535, 1038, 19883, 2683, 1011, 4601, 1012, 2142, 2163, 10528, 2457, 1010, 1055, 1012, 1040, 1012, 2047, 2259, 1012, 2254, 2484, 1010, 3172, 1012, 16994, 1004, 14913, 1010, 18486, 1004, 3806, 2015, 1010, 2047, 2259, 2103, 1010, 2005, 7016, 5668, 1012, 23103, 1004, 11011, 1010, 2047, 2259, 2103, 1010, 2005, 13474, 24665, 2819, 2386, 20440, 13058, 1012, 3247, 1998, 2344, 2006, 4367, 2000, 17607, 5456, 17147, 3487, 1046, 1012, 4575, 1010, 10528, 3648, 1012, 2006, 2285, 1015, 1010, 3301, 1041, 1012, 1039, 1012, 10728, 1010, 4297, 1012, 1006, 1000, 10728, 1000, 1007, 6406, 1037, 3127, 8418, 9964, 1999, 2023, 2457, 27081, 2000, 1996, 10528, 2552, 1997, 6068, 1012, 10728, 2001, 6920, 2506, 1999, 2449, 1012, 2006, 2244, 2321, 1010, 3196, 1010, 10728, 14948, 1996, 7107, 27248, 18207, 2114, 24665, 2819, 2386, 20440, 3840, 1006, 1000, 24665, 2819, 2386, 1000, 1007, 23294, 1996, 2097, 3993, 4945, 2000, 14037, 2007, 5456, 5918, 1012, 1996, 4335, 7303, 2001, 1996, 4654, 14289, 15465, 3672, 1997, 24665, 2819, 2386, 1005, 1055, 4366, 1999, 1996, 10728, 17118, 27081, 2000, 3627, 4261, 1997, 1996, 2976, 3513, 1997, 2942, 7709, 1006, 1000, 10424, 21906, 1000, 1007, 2081, 12711, 2000, 27248, 8931, 1999, 1996, 10528, 2457, 2011, 10528, 3627, 22061, 1012, 1996, 8866, 1997, 1996, 7593, 2024, 2004, 4076, 1024, 2006, 2030, 2055, 2285, 1015, 1010, 3355, 24665, 2819, 2386, 1998, 10728, 3133, 2046, 1037, 3206, 1006, 1000, 1996, 4942, 8663, 6494, 6593, 1000, 1007, 13557, 10728, 3530, 2000, 4685, 1996, 5992, 2810, 2147, 2006, 1996, 11615, 4925, 1010, 3448, 1010, 2390, 2918, 28269, 3949, 3269, 1010, 4403, 2462, 8377, 1006, 1000, 1996, 2622, 1000, 1007, 1012, 24665, 2819, 2386, 2001, 1996, 2236, 13666, 2006, 1996, 2622, 1012, 1999, 2281, 1010, 3245, 24665, 2819, 2386, 11016, 2007, 2566, 5498, 3840, 1006, 1000, 2566, 5498, 1000, 1007, 2005, 2566, 5498, 2000, 3710, 2004, 24665, 2819, 2386, 1005, 1055, 2810, 3208, 2005, 1996, 2622, 1012, 1999, 2285, 1010, 3245, 24665, 2819, 2386, 12527, 10728, 2013, 1996, 2622, 1998, 5117, 2158, 5831, 5992, 2194, 1006, 1000, 2158, 5831, 1000, 1007, 2000, 3143, 1996, 2147, 2187, 4895, 4842, 29021, 2011, 10728, 1012, 2006, 2258, 2484, 1010, 3261, 24665, 2819, 2386, 6406, 1037, 6947, 1997, 2019, 3831, 4366, 2114, 10728, 1999, 1008, 5401, 2581, 2049, 17118, 18207, 2005, 1002, 6353, 2509, 1010, 22857, 1012, 4601, 1012, 2008, 4366, 3421, 1996, 12394, 4265, 2011, 24665, 2819, 2386, 2004, 1037, 2765, 1997, 10728, 1005, 1055, 6884, 12510, 1997, 1996, 4942, 8663, 6494, 6593, 1012, 2006, 2251, 2184, 1010, 3261, 10728, 14948, 2019, 27248, 18207, 1999, 2023, 2457, 23294, 2008, 2009, 2001, 24665, 2819, 2386, 2040, 2018, 25769, 1996, 4942, 8663, 6494, 6593, 1012, 10728, 7303, 2023, 2457, 2000, 1006, 1037, 1007, 4654, 14289, 15465, 24665, 2819, 2386, 1005, 1055, 3831, 4366, 1010, 2030, 1999, 1996, 4522, 1010, 9146, 13893, 1997, 1996, 4942, 8663, 6494, 6593, 1998, 4748, 9103, 16467, 2008, 2151, 4366, 4928, 2011, 24665, 2819, 2386, 2022, 3039, 2069, 2004, 1037, 2236, 4895, 3366, 19405, 4366, 1025, 1998, 1006, 1038, 1007, 4607, 1037, 8689, 2114, 24665, 2819, 2386, 2005, 1002, 17696, 1010, 4029, 2620, 2029, 5836, 23850, 20571, 2349, 10728, 2588, 1996, 4942, 8663, 6494, 6593, 1012, 2006, 2251, 2484, 1010, 3261, 24665, 2819, 2386, 4660, 6224, 15322, 1997, 1996, 12087, 1998, 4675, 27640, 2005, 2049, 3831, 10961, 4366, 1012, 5456, 2211, 3859, 6920, 1012, 1999, 2244, 1010, 3261, 2169, 2283, 2366, 1996, 2060, 2007, 4866, 6254, 11186, 1012, 24665, 2819, 2386, 5359, 2000, 10728, 5285, 12717, 18674, 5491, 27081, 2000, 2107, 5227, 2164, 4809, 1997, 1996, 1999, 6767, 23522, 9240, 2011, 2158, 5831, 1998, 2566, 5498, 5052, 5366, 22667, 2011, 24665, 2819, 2386, 1999, 12329, 6503, 1997, 1996, 4895, 4842, 29021, 4664, 1997, 1996, 4942, 8663, 6494, 6593, 1012, 10728, 2038, 2036, 2579, 3365, 19806, 2015, 1012, 10728, 2038, 8920, 1996, 2206, 5126, 1997, 24665, 2819, 2386, 1024, 2577, 2829, 1006, 2006, 2233, 2603, 1010, 3196, 1007, 1025, 4670, 16220, 5349, 1006, 2006, 2233, 2484, 1010, 3196, 1007, 1010, 4074, 2001, 8516, 1006, 2006, 2238, 2603, 1010, 3196, 1007, 1025, 1998, 6108, 15966, 2618, 1006, 2006, 2233, 2861, 1010, 3196, 1010, 2244, 2603, 1010, 3196, 1998, 2255, 2324, 1010, 3196, 1007, 1012, 10728, 2038, 2036, 18298, 6031, 2179, 1997, 2158, 5831, 1006, 2006, 2244, 2756, 1010, 3196, 1007, 1998, 8207, 5202, 1997, 2566, 5498, 1006, 2006, 2233, 2861, 1010, 3196, 1007, 1012, 2006, 2238, 2322, 1010, 3196, 10728, 2366, 24665, 2819, 2386, 2007, 2517, 6970, 3217, 20697, 18909, 6224, 1010, 6970, 4862, 2050, 1010, 1996, 6922, 3033, 1997, 24665, 2819, 2386, 1005, 1055, 4366, 1999, 1996, 10728, 17118, 18207, 1025, 8720, 1997, 1996, 5491, 4637, 1996, 4366, 1025, 8720, 1997, 1996, 5381, 2040, 10174, 1996, 4366, 1025, 2043, 1998, 2073, 2107, 4366, 2001, 10174, 1025, 1998, 2592, 8800, 2000, 1996, 6503, 1997, 1996, 2622, 1012, 2076, 1996, 2353, 2733, 1997, 2251, 1010, 9517, 2000, 24665, 2819, 2386, 7303, 1998, 2363, 2013, 9517, 2000, 10728, 2019, 5331, 2127, 2257, 2322, 1010, 3196, 1997, 1996, 2051, 2011, 2029, 24665, 2819, 2386, 2052, 2022, 3223, 2000, 6869, 2000, 1996, 10728, 6970, 3217, 20697, 18909, 1012, 2174, 1010, 2006, 2008, 3058, 1996, 6970, 3217, 20697, 18909, 2020, 2025, 5359, 2349, 2000, 1000, 6228, 8190, 1998, 4771, 23534, 1012, 1000, 2006, 2244, 2403, 1010, 3196, 10728, 14948, 1996, 7107, 18207, 17942, 5456, 17147, 2022, 9770, 2114, 24665, 2819, 2386, 2005, 2097, 3993, 4945, 2000, 14037, 2007, 5456, 1012, 2348, 10960, 2000, 1996, 6970, 3217, 20697, 18909, 2020, 2366, 2006, 2244, 2459, 1010, 3196, 1998, 27024, 10960, 2366, 2006, 2255, 2324, 1010, 3196, 10728, 4247, 2000, 6148, 1996, 17727, 19234, 1997, 17147, 2114, 24665, 2819, 2386, 1012, 10728, 9319, 2008, 1996, 10960, 2000, 1996, 6970, 3217, 20697, 18909, 1998, 1996, 19806, 10896, 2024, 2061, 4895, 6072, 26029, 12742, 1010, 13727, 1998, 12958, 2008, 1996, 24665, 2819, 2386, 4366, 3464, 6135, 16655, 2595, 24759, 18175, 2094, 1012, 1996, 17147, 7303, 2024, 1024, 1996, 15322, 1997, 24665, 2819, 2386, 1005, 1055, 4366, 1010, 1996, 8478, 1997, 24665, 2819, 2386, 1005, 1055, 3437, 2000, 10728, 1005, 1055, 12087, 1998, 3257, 1997, 8689, 1999, 5684, 1997, 10728, 2005, 1002, 17696, 1010, 4029, 2475, 1012, 3251, 1037, 2457, 2038, 1996, 2373, 2000, 19776, 1037, 4366, 2005, 1037, 4945, 1997, 5456, 9041, 7580, 2588, 10424, 21906, 4261, 1998, 2025, 2588, 2151, 16112, 10067, 4204, 1997, 1037, 2976, 2457, 1012, 18341, 21339, 10364, 6577, 2015, 27746, 18886, 22869, 3802, 3293, 2229, 1010, 7842, 1058, 1012, 7369, 1010, 26231, 1057, 1012, 1055, 1012, 19975, 1010, 19843, 1010, 6275, 1055, 1012, 14931, 1012, 10715, 2581, 1010, 11518, 2509, 1010, 1016, 1048, 1012, 3968, 1012, 14134, 8732, 2629, 1006, 3845, 1007, 1012, 15322, 2005, 1037, 4945, 2000, 17654, 1999, 3653, 18886, 2389, 5456, 1010, 27081, 2000, 10424, 21906, 4261, 2003, 1037, 2852, 22684, 11148, 2624, 7542, 2029, 2323, 2022, 2109, 2069, 1999, 6034, 6214, 1012, 2156, 3956, 2948, 5183, 1012, 1058, 1012, 3115, 11718, 1010, 4583, 2683, 1042, 1012, 14134, 18540, 1010, 18512, 1006, 14134, 25022, 2099, 1012, 3355, 1007, 1012, 5434, 2442, 6912, 19355, 2138, 2107, 1037, 15322, 2089, 5452, 2000, 2139, 18098, 3512, 1037, 2711, 1997, 3200, 2302, 2349, 2832, 1997, 2375, 1999, 24528, 15338, 3258, 1997, 1996, 3587, 7450, 1012, 2156, 18341, 21339, 1010, 10514, 18098, 2050, 26231, 1057, 1012, 1055, 1012, 2012, 19348, 1010, 6275, 1055, 1012, 14931, 1012, 2012, 11518, 2549, 1025, 3964, 1997, 7319, 2837, 2006, 3513, 1010, 3627, 4261, 1010, 2654, 1057, 1012, 1055, 1012, 1039, 1012, 1037, 1012, 1006, 3339, 10514, 9397, 1012, 1007, 3931, 5187, 1012, 3568, 1010, 2045, 2003, 1037, 2844, 3343, 5684, 2075, 1037, 3979, 2006, 1996, 22617, 1998, 2114, 2139, 18098, 14966, 1037, 2283, 1997, 2010, 2154, 1999, 2457, 2138, 1997, 23337, 2076, 5456, 1012, 1008, 5401, 2620, 2156, 4419, 1058, 1012, 16054, 15878, 22626, 1011, 4276, 7853, 1010, 4297, 1012, 1010, 4868, 2575, 1042, 1012, 14134, 5818, 2683, 1010, 5585, 2575, 1006, 5893, 25022, 2099, 1012, 3339, 1007, 1025, 14255, 23555, 7134, 10495, 1010, 4297, 1012, 1058, 1012, 2079, 12624, 1010, 21211, 1042, 1012, 14134, 24368, 1010, 13756, 1006, 6280, 25022, 2099, 1012, 3546, 1007, 8292, 5339, 1012, 6380, 17014, 1057, 1012, 1055, 1012, 5345, 2575, 1010, 5594, 1055, 1012, 14931, 1012, 10715, 2475, 1010, 2410, 1048, 1012, 3968, 1012, 14134, 5989, 2475, 1006, 3551, 1007, 1025, 12267, 1058, 1012, 2358, 12898, 2860, 1010, 11212, 1042, 1012, 14134, 5764, 2683, 1010, 25535, 1006, 14134, 25022, 2099, 1012, 3890, 1007, 1012, 10424, 21906, 4261, 1006, 1038, 1007, 1006, 1016, 1007, 1998, 1006, 1040, 1007, 3166, 10057, 1037, 2457, 2000, 17607, 5456, 17147, 1012, 3627, 4261, 1006, 1038, 1007, 1006, 1016, 1007, 2003, 27118, 9397, 19341, 3468, 1999, 1996, 7107, 2553, 2004, 15322, 27081, 2000, 2023, 4942, 29015, 2442, 2022, 11677, 2011, 2019, 2344, 17075, 5456, 1012, 1047, 18981, 2361, 1058, 1012, 1062, 2666, 8237, 2705, 1010, 4583, 2581, 1042, 1012, 14134, 16087, 1010, 16333, 1050, 1012, 1021, 1006, 5893, 25022, 2099, 1012, 3355, 1007, 1025, 3956, 2948, 27427, 1012, 1010, 5183, 1012, 1058, 1012, 3115, 11718, 1010, 4583, 2683, 1042, 1012, 14134, 18540, 1010, 18512, 1006, 14134, 25022, 2099, 1012, 3355, 1007, 1012, 2053, 2107, 2344, 2038, 2042, 3843, 2182, 1012, 15322, 27081, 2000, 3627, 4261, 1006, 1040, 1007, 2003, 1037, 5372, 19519, 2069, 2043, 2045, 2038, 2042, 1037, 2561, 4945, 1997, 5456, 1012, 8909, 1012, 2156, 2036, 2632, 20073, 1004, 2365, 1010, 4297, 1012, 1058, 1012, 2041, 6277, 3884, 13058, 1012, 1010, 6079, 2487, 1042, 1012, 14134, 3590, 1010, 3486, 1006, 7605, 25022, 2099, 1012, 3245, 1007, 1025, 13109, 29243, 1058, 1012, 12849, 24746, 2140, 1010, 2753, 2549, 1042, 1012, 14134, 3963, 2475, 1010, 3963, 2575, 1050, 1012, 1016, 1006, 14134, 25022, 2099, 1012, 3326, 1007, 1012, 10728, 9319, 2008, 2045, 2038, 2042, 1037, 4945, 1997, 5456, 2182, 2004, 13990, 2592, 2038, 2042, 8127, 2000, 9585, 2009, 2000, 2004, 17119, 18249, 1996, 3978, 2005, 24665, 2819, 2386, 1005, 1055, 4366, 1012, 2174, 1010, 2023, 2152, 3115, 2038, 2025, 2042, 5411, 2004, 24665, 2819, 2386, 1005, 1055, 4366, 2003, 12381, 4541, 1998, 8832, 1012, 24665, 2819, 2386, 1005, 1055, 4366, 2001, 24806, 2011, 6108, 1037, 1012, 15966, 2618, 1010, 2049, 3208, 1997, 8311, 1012, 1996, 4366, 2001, 24806, 2011, 20177, 1996, 5025, 3465, 2000, 24665, 2819, 2386, 1997, 1996, 6067, 1998, 2578, 2306, 1996, 9531, 1997, 1996, 4942, 8663, 6494, 6593, 1006, 1996, 1000, 5025, 3465, 1000, 1007, 1998, 4942, 6494, 11873, 2013, 2008, 3275, 1996, 3815, 2009, 2052, 2031, 3465, 24665, 2819, 2386, 2018, 10728, 2864, 2049, 14987, 2104, 1996, 4942, 8663, 6494, 6593, 1012, 1996, 5025, 3465, 2038, 2048, 6177, 1012, 1996, 2034, 2003, 10504, 2081, 2011, 24665, 2819, 2386, 2000, 10728, 1005, 1055, 4070, 3188, 2000, 1996, 18287, 1997, 10728, 2013, 1996, 2622, 1012, 2023, 3275, 2003, 2241, 2588, 9529, 2636, 4810, 1998, 5224, 2011, 24665, 2819, 2386, 1012, 1996, 2117, 6922, 2003, 10504, 2081, 2000, 5851, 6503, 1997, 1996, 4942, 8663, 6494, 6593, 2044, 10728, 1005, 1055, 18287, 1012, 2023, 2001, 24806, 2478, 1037, 6254, 4709, 1996, 1000, 2158, 5831, 3465, 7984, 4106, 1010, 1000, 2029, 6254, 2001, 4810, 2011, 6031, 2179, 1997, 2158, 5831, 1998, 2198, 6426, 1997, 2566, 5498, 2000, 6254, 2005, 24665, 2819, 2386, 1996, 5366, 22667, 1999, 7678, 1996, 4942, 8663, 6494, 6593, 1012, 1006, 10728, 2038, 18298, 2720, 1012, 2179, 2021, 2038, 3478, 2000, 2139, 20688, 2720, 1012, 6426, 1007, 1012, 2720, 1012, 15966, 2618, 2081, 2010, 17208, 1997, 1996, 4366, 2011, 2192, 2006, 1037, 6100, 1997, 1996, 2158, 5831, 3465, 7984, 4106, 1010, 1037, 6100, 1997, 2029, 2038, 2042, 3024, 2000, 10728, 1012, 10728, 2038, 2036, 2042, 3024, 2007, 2035, 1999, 6767, 23522, 3825, 2011, 24665, 2819, 2386, 1999, 4434, 2007, 1996, 6503, 1997, 1996, 4942, 8663, 6494, 6593, 1012, 2006, 2258, 2385, 1010, 3261, 24665, 2819, 2386, 11860, 1037, 6100, 1997, 1996, 22334, 1997, 1996, 4366, 2000, 9517, 1010, 2040, 6406, 2009, 2007, 2023, 2457, 2006, 2258, 2484, 1010, 3261, 1012, 1996, 3815, 1997, 1996, 4366, 6406, 2001, 7235, 2000, 1996, 3275, 10174, 2011, 2720, 1012, 15966, 2618, 1012, 4415, 1010, 2045, 2038, 2042, 2053, 2561, 4945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2659, 1011, 1998, 2690, 1011, 3318, 3032, 1010, 2566, 3981, 9080, 6245, 2003, 1037, 2350, 2270, 2740, 3291, 1010, 12473, 2039, 2000, 1037, 4284, 1997, 2035, 6875, 2308, 1999, 3541, 4501, 1012, 1034, 1031, 1030, 1054, 2487, 1033, 1011, 1011, 1031, 1030, 1054, 2509, 1033, 1034, 1999, 2804, 2000, 2049, 3896, 2006, 1996, 2388, 1005, 1055, 2092, 1011, 2108, 1010, 2566, 3981, 9080, 6245, 2003, 3378, 2007, 15316, 13105, 1997, 10032, 1034, 1031, 1030, 1054, 2549, 1033, 1034, 1998, 15316, 3896, 2006, 1996, 10527, 2164, 8394, 3930, 1034, 1031, 1030, 1054, 2629, 1033, 1034, 1998, 3532, 2740, 1998, 2458, 1012, 1034, 1031, 1030, 1054, 2575, 1033, 1034, 7882, 4621, 19388, 2024, 2108, 2764, 1034, 1031, 1030, 1054, 2487, 1033, 1010, 1031, 1030, 1054, 2581, 1033, 1034, 2021, 2037, 12353, 1999, 2659, 1011, 1998, 2690, 1011, 3318, 3032, 2089, 2022, 3132, 2011, 5876, 2008, 5441, 14516, 6245, 1010, 2107, 2004, 5635, 1010, 3768, 1997, 2591, 2490, 1998, 2308, 1005, 1055, 3768, 1997, 3361, 4336, 2013, 2037, 19089, 1012, 1034, 1031, 1030, 1054, 2620, 1033, 1010, 1031, 1030, 1054, 2683, 1033, 1034, 5635, 1998, 5177, 5665, 2740, 11835, 1999, 1037, 4997, 5402, 1998, 2023, 2003, 7882, 2000, 2695, 19833, 2389, 6245, 1999, 2659, 1011, 1998, 2690, 1011, 3318, 3032, 1012, 1034, 1031, 1030, 1054, 2620, 1033, 1010, 1031, 1030, 1054, 10790, 1033, 1034, 5635, 2035, 6777, 18963, 19388, 2079, 2025, 3711, 2000, 5335, 5177, 2740, 2021, 5177, 2740, 19388, 2089, 2022, 3378, 2007, 5301, 3171, 13105, 1010, 2348, 2062, 2152, 1011, 3737, 2470, 2003, 2734, 1012, 1034, 1031, 1030, 1054, 14526, 1033, 1034, 1996, 8720, 1997, 29420, 2015, 2064, 20648, 2005, 3183, 1010, 2030, 2104, 2054, 3785, 1010, 1996, 3949, 2573, 1010, 2000, 5009, 1996, 2640, 1997, 2925, 6721, 5084, 4758, 7012, 1006, 22110, 3215, 1007, 1998, 2000, 5083, 2256, 4824, 1997, 1996, 3267, 1997, 6612, 10840, 1012, 2000, 3058, 1996, 29420, 2015, 1997, 3949, 1997, 2695, 19833, 2389, 6245, 2031, 2042, 3273, 2210, 1012, 1034, 1031, 1030, 1054, 12521, 1033, 1034, 1999, 3327, 1010, 2009, 2003, 2025, 2124, 3251, 8317, 19388, 2064, 5547, 6245, 1999, 2308, 2040, 2024, 2200, 3532, 1998, 13732, 7790, 2006, 2037, 19089, 1010, 2030, 3251, 2122, 5876, 5787, 1996, 12353, 1997, 1996, 8830, 1012, 1034, 1031, 1030, 1054, 2683, 1033, 1034, 1999, 1037, 3522, 22110, 2102, 1006, 3979, 8819, 1024, 2003, 11890, 2102, 2078, 26187, 21486, 2575, 24434, 2549, 1007, 2057, 7718, 2019, 8830, 1010, 1005, 1996, 3241, 7965, 4746, 1005, 1010, 2029, 2001, 2241, 2006, 20547, 5967, 10699, 1011, 1011, 9164, 2389, 7242, 1006, 17324, 2102, 1007, 6481, 2021, 2036, 2920, 1996, 3129, 1998, 2155, 1999, 4637, 1996, 2450, 2007, 6245, 2076, 7242, 1012, 1034, 1031, 1030, 1054, 2487, 1033, 1034, 1996, 8830, 2001, 5359, 2011, 2334, 2451, 2740, 3667, 1025, 2122, 3667, 2020, 2308, 2040, 2020, 6383, 1998, 7692, 3993, 1010, 1998, 2071, 2393, 1996, 2308, 2007, 6245, 1998, 2037, 2945, 2000, 11240, 24411, 2063, 2451, 4219, 2000, 9462, 18224, 6499, 13247, 8190, 2083, 3291, 1011, 13729, 1012, 1034, 1031, 1030, 1054, 17134, 1033, 1034, 24209, 11475, 27453, 9312, 2015, 7645, 2008, 1996, 3291, 1011, 13729, 3921, 1999, 1996, 2398, 1997, 2122, 7692, 3993, 2308, 2001, 6179, 1999, 12786, 2070, 1997, 1996, 17522, 23035, 3891, 5876, 2012, 1037, 6742, 2504, 1010, 2005, 2742, 1010, 13951, 2308, 1999, 11381, 2235, 10940, 2013, 2231, 12702, 16748, 23194, 11683, 1012, 2083, 2019, 11376, 1997, 4621, 2775, 1011, 4373, 2075, 1010, 1996, 8830, 2036, 5251, 8315, 5907, 12991, 13874, 1998, 6628, 11397, 2000, 2377, 2019, 3161, 2535, 1999, 4637, 1996, 2388, 1999, 2775, 2729, 1998, 8290, 1012, 1996, 3979, 2001, 4621, 1999, 12318, 6245, 1006, 3466, 2946, 1014, 1012, 5764, 1007, 2021, 2018, 3176, 6666, 2006, 11062, 2490, 1010, 2155, 6550, 1998, 16725, 1005, 2740, 1012, 1034, 1031, 1030, 1054, 2487, 1033, 1034, 2122, 6666, 2024, 11892, 2007, 1996, 10318, 3399, 1997, 2256, 3921, 1010, 2029, 12362, 1996, 2775, 2004, 1996, 2803, 1997, 1996, 8830, 2007, 1996, 2388, 1998, 2269, 2551, 2362, 2007, 1996, 1005, 3203, 2740, 7309, 1005, 1006, 1048, 2232, 2860, 1007, 2000, 6162, 2775, 2740, 1012, 1996, 2556, 2817, 2001, 6461, 2012, 12151, 1996, 29420, 2015, 1997, 3949, 9560, 1010, 2006, 1996, 3978, 2008, 2065, 1037, 3949, 2038, 2049, 3896, 2011, 25870, 1037, 3327, 2832, 2023, 4531, 21009, 1996, 5197, 1997, 1996, 2832, 1999, 8498, 1996, 8761, 1998, 2089, 2599, 2000, 2582, 25416, 3170, 8163, 1997, 1996, 8830, 1999, 1037, 2925, 3979, 1012, 4919, 1010, 2057, 6257, 2000, 5646, 3251, 5635, 1010, 7016, 2030, 2151, 1997, 1996, 2060, 2591, 10857, 3378, 2007, 14516, 6245, 1006, 3768, 1997, 3361, 23011, 1010, 3768, 1997, 2591, 2490, 1007, 8777, 2094, 1996, 3466, 1997, 3949, 1012, 2057, 6257, 2036, 2000, 14358, 3251, 1996, 8830, 4359, 1996, 10817, 1997, 2308, 2007, 4398, 7016, 1998, 3445, 1996, 10817, 2040, 2020, 13732, 26480, 1012, 4118, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 2817, 2181, 1010, 6818, 1998, 16227, 1063, 1001, 1055, 2475, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2023, 2817, 2109, 2951, 2013, 1037, 9324, 1010, 6721, 5084, 1010, 2451, 1011, 2241, 3979, 1997, 1037, 8317, 8830, 2005, 2566, 3981, 9080, 6245, 1999, 2048, 3541, 24150, 2015, 1006, 19739, 16084, 4967, 1998, 10556, 17305, 19740, 2319, 1007, 1997, 6315, 2389, 8091, 4305, 1010, 4501, 1010, 2090, 2432, 1998, 2289, 1012, 1996, 4751, 1997, 1996, 4725, 1998, 1996, 2364, 3463, 1997, 2023, 3979, 2031, 2042, 2988, 6974, 1012, 1034, 1031, 1030, 1054, 2487, 1033, 1034, 1999, 1037, 9324, 6721, 5084, 3979, 1006, 1031, 20965, 1012, 1015, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1010, 2871, 2586, 10784, 1006, 2019, 3831, 3131, 5398, 1997, 1019, 1011, 1011, 2184, 4731, 1998, 1037, 2313, 1997, 2055, 2322, 2199, 1007, 2020, 6721, 5084, 2046, 2019, 5020, 2193, 1997, 3949, 1998, 2491, 12906, 1012, 1037, 2561, 1997, 4229, 2683, 2620, 2308, 1999, 2037, 2353, 12241, 20367, 1997, 10032, 2020, 4453, 2011, 11381, 2880, 7201, 2013, 5539, 2231, 1011, 4846, 1048, 2232, 9333, 1010, 2040, 19974, 8145, 2951, 2006, 2047, 3653, 28207, 9243, 1012, 2035, 2496, 2308, 4793, 2459, 1011, 1011, 2871, 2086, 1999, 2037, 2353, 12241, 20367, 1997, 10032, 1010, 2040, 2018, 6245, 1010, 2020, 2641, 2005, 10502, 1999, 1996, 2817, 1006, 1031, 20965, 1012, 1015, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2308, 2007, 1037, 11441, 2966, 4650, 1010, 10032, 1011, 3141, 7355, 1010, 3278, 3558, 2030, 7789, 11980, 1010, 2695, 19362, 11667, 2030, 2060, 2433, 1997, 18224, 6190, 1998, 5729, 6245, 2020, 12421, 1012, 2057, 4663, 6727, 12064, 1998, 2517, 9619, 2013, 1996, 6818, 1012, 12962, 6226, 2005, 1996, 2817, 2001, 4379, 2011, 9528, 1997, 1996, 2118, 1997, 5087, 1010, 2866, 1010, 1998, 1996, 2820, 1997, 18420, 1010, 6315, 2389, 8091, 4305, 1012, 2951, 2004, 17119, 18249, 3672, 1063, 1001, 1055, 2509, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1001, 1001, 1001, 13691, 8761, 1998, 6245, 18976, 1063, 1001, 1055, 2549, 1065, 20794, 2020, 3344, 2041, 2012, 2035, 2051, 2685, 2011, 2048, 4738, 1998, 5281, 9349, 7066, 1006, 1037, 1012, 1049, 1012, 1998, 1055, 1012, 1055, 1012, 1007, 2478, 1037, 14336, 6612, 6602, 2005, 16233, 2213, 1011, 4921, 11616, 1997, 2350, 2139, 27484, 2792, 1006, 16596, 2094, 1007, 1034, 1031, 1030, 1054, 16932, 1033, 1034, 1998, 1996, 5226, 5790, 4094, 2005, 6245, 1006, 17850, 16150, 1007, 1034, 1031, 1030, 1054, 16068, 1033, 1034, 2000, 14358, 18976, 1012, 1996, 2280, 2001, 2109, 2000, 14358, 1996, 10502, 9181, 2005, 1996, 2817, 1998, 3251, 2139, 27484, 8761, 2001, 2145, 2556, 2012, 3582, 1011, 2039, 1012, 1034, 1031, 1030, 1054, 2487, 1033, 1034, 1996, 17850, 16150, 2001, 2109, 2000, 14358, 1996, 18976, 1997, 6245, 2012, 2122, 2335, 1012, 2119, 1997, 2122, 4100, 1011, 14336, 7636, 2031, 2042, 2109, 8385, 1999, 2892, 1011, 3451, 1010, 4958, 5178, 4328, 10091, 1998, 3949, 2913, 1997, 3653, 1011, 1998, 2695, 19833, 2389, 6245, 1012, 2035, 7636, 2020, 3344, 2041, 1999, 12454, 2044, 5449, 1010, 2067, 1011, 5449, 1998, 3451, 6789, 1997, 1996, 4357, 6134, 2478, 2019, 2511, 7709, 1012, 1034, 1031, 1030, 1054, 16048, 1033, 1034, 6970, 11657, 2099, 15258, 2001, 2511, 3188, 2000, 1996, 2817, 2043, 2119, 4357, 2545, 9174, 14155, 2322, 2308, 1006, 2184, 2018, 6612, 6245, 1007, 1998, 3530, 2006, 1996, 11616, 1997, 1023, 1006, 1164, 1027, 1014, 1012, 3938, 1007, 1012, 1996, 4357, 2545, 2020, 16520, 2000, 1996, 16169, 3570, 1997, 1996, 2586, 10784, 1998, 1010, 3568, 1010, 1996, 2849, 1997, 1996, 3979, 2000, 2029, 2169, 1997, 1996, 2308, 2018, 2042, 6721, 5084, 1012, 2023, 7308, 2075, 2001, 5224, 2138, 1996, 4357, 2545, 2018, 2053, 3967, 2007, 1996, 2136, 2008, 2106, 1996, 6721, 6648, 1010, 1998, 2802, 1996, 9367, 1997, 1996, 2817, 2027, 2018, 2053, 3967, 2007, 1996, 1048, 2232, 9333, 2030, 2151, 2060, 2740, 5073, 1999, 1996, 2817, 2181, 1012, 10756, 2020, 2356, 2025, 2000, 2425, 1996, 4357, 2545, 2505, 2055, 2037, 6295, 2007, 1996, 1048, 2232, 9333, 1012, 1996, 17850, 16150, 2038, 1037, 4555, 3556, 1997, 5401, 1025, 1996, 2812, 26163, 3556, 1999, 2023, 7099, 2001, 2403, 1012, 1020, 1006, 1055, 1012, 1040, 1012, 1027, 2403, 1012, 1015, 1007, 1012, 999, 1031, 4834, 16403, 1997, 9324, 6721, 5084, 4758, 3979, 1012, 1033, 1006, 3429, 2475, 2546, 2487, 1007, 1063, 1001, 20069, 1065, 1001, 1001, 1001, 2500, 4022, 29420, 2015, 1997, 3949, 3466, 1063, 1001, 1055, 2629, 1065, 2591, 2490, 1012, 2023, 2001, 7594, 2007, 1996, 4800, 22172, 6132, 19301, 4094, 1997, 8690, 2591, 2490, 1006, 5796, 4523, 2015, 1007, 1010, 1034, 1031, 1030, 1054, 16576, 1033, 1034, 1037, 4766, 6602, 2008, 11596, 20714, 7667, 1997, 2591, 2490, 1012, 1996, 4094, 3774, 1997, 2260, 5167, 1025, 2169, 2003, 3195, 2006, 1037, 2698, 1011, 2391, 4094, 1012, 2176, 3980, 2169, 3198, 2055, 1996, 3120, 1997, 2591, 2490, 1024, 2155, 1010, 2814, 1010, 3278, 2060, 1012, 2947, 1010, 2005, 1996, 2155, 2490, 4094, 1996, 7644, 2846, 2013, 1018, 2000, 2654, 1010, 2007, 3020, 7644, 8131, 3618, 2490, 1025, 1996, 2812, 3556, 1999, 2023, 7099, 2001, 2385, 1012, 1017, 1006, 1055, 1012, 1040, 1012, 1027, 1020, 1012, 1022, 1007, 1012, 1996, 5796, 4523, 2015, 2038, 2042, 7246, 9398, 4383, 1998, 3491, 2000, 2031, 23045, 4722, 15258, 1010, 5387, 4818, 16406, 1010, 1998, 3231, 1998, 2128, 22199, 15258, 1012, 1034, 1031, 1030, 1054, 15136, 1033, 1034, 1999, 2804, 1010, 2057, 14155, 3251, 6387, 2591, 2490, 2013, 2155, 2372, 2005, 2871, 2420, 2044, 1996, 4182, 1006, 1008, 10720, 2050, 1008, 1007, 2001, 23045, 1012, 1008, 1008, 17522, 3207, 5302, 14773, 10857, 1012, 1008, 1008, 2287, 1010, 2495, 1010, 6107, 1010, 2155, 3252, 1998, 5512, 2020, 14155, 2012, 26163, 2011, 1996, 2168, 4357, 2545, 2478, 1037, 11974, 2881, 3167, 2592, 3160, 20589, 1012, 2495, 2001, 4937, 20265, 29346, 2094, 2046, 2053, 5337, 2495, 1010, 1015, 1011, 1011, 1020, 2086, 1010, 1021, 1011, 1011, 2184, 2086, 1998, 2340, 2030, 2062, 2086, 1997, 5337, 2495, 1012, 2155, 3252, 2001, 4937, 20265, 29346, 2094, 2046, 4517, 2155, 1006, 3008, 1998, 2336, 2069, 1007, 2030, 3668, 2155, 1006, 2093, 8213, 2542, 1999, 1996, 2168, 2188, 1007, 1012, 1008, 1008, 10756, 1005, 28268, 3570, 1008, 1008, 1012, 11062, 2303, 3742, 5950, 1006, 1038, 4328, 1007, 2001, 7594, 2004, 2019, 17245, 1997, 28268, 3570, 1012, 1008, 1008, 17522, 23035, 3570, 1008, 1008, 1012, 2256, 2817, 2109, 2195, 4216, 1997, 2592, 2000, 5646, 1996, 17522, 23035, 3570, 1997, 2256, 6818, 2138, 1997, 1996, 7669, 1997, 9854, 2023, 8023, 1999, 2148, 4021, 1012, 1034, 1031, 1030, 1054, 16147, 1033, 1034, 2012, 26163, 2057, 2356, 1048, 2232, 9333, 1010, 2040, 2973, 1999, 1996, 2168, 10246, 1998, 2018, 10305, 3716, 1997, 1996, 2945, 8019, 1999, 2256, 2817, 1010, 2000, 3446, 1996, 4398, 2006, 1037, 2274, 1011, 2391, 2066, 5339, 4094, 7478, 2013, 1015, 1006, 2560, 3532, 1007, 2000, 1019, 1006, 3532, 4355, 1007, 1012, 6818, 2020, 2356, 3251, 2037, 2155, 2001, 1999, 7016, 1998, 2023, 2001, 20119, 2011, 4851, 1996, 1048, 2232, 2860, 1010, 2040, 2001, 3227, 5204, 1997, 1996, 3267, 1997, 1996, 5414, 1010, 2005, 2742, 1010, 2000, 4965, 1037, 16358, 2030, 2000, 5309, 9871, 2005, 1037, 2155, 2266, 1012, 2023, 7667, 2001, 5567, 2012, 1015, 1011, 2095, 3582, 1011, 2039, 1012, 2057, 2036, 2356, 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, 26231, 1042, 1012, 14134, 4868, 2581, 9465, 1040, 1012, 12075, 2571, 1010, 13209, 1997, 6017, 2239, 10243, 1012, 1010, 4297, 1012, 2085, 2124, 2004, 1049, 1038, 1044, 1010, 4297, 1012, 1010, 20579, 1011, 10439, 24178, 1010, 1058, 1012, 17243, 1055, 1012, 6017, 2239, 1010, 13474, 1011, 10439, 14774, 2063, 1012, 2053, 1012, 6273, 1012, 8946, 3388, 27240, 2692, 2509, 1012, 2142, 2163, 2457, 1997, 9023, 2117, 4984, 1012, 5275, 2255, 2322, 1010, 3551, 1012, 2787, 2337, 2403, 1010, 3547, 1012, 9385, 3430, 16647, 10883, 2061, 13309, 1010, 11736, 1010, 1050, 1012, 1061, 1012, 1006, 3044, 1010, 2061, 13309, 1010, 6609, 1010, 25341, 1010, 22432, 15859, 16020, 1004, 29058, 2121, 1010, 11736, 1010, 1050, 1012, 1061, 1012, 1007, 1010, 2005, 10439, 24178, 1012, 2520, 1046, 1012, 17090, 1010, 11736, 1010, 1050, 1012, 1061, 1012, 1006, 17090, 1004, 25222, 4381, 1010, 11736, 1010, 1050, 1012, 1061, 1012, 1007, 1010, 2005, 10439, 14774, 2063, 1012, 2077, 2300, 2386, 1010, 5405, 1998, 5379, 1010, 4984, 6794, 1012, 5379, 1010, 4984, 3648, 1024, 1015, 3648, 15761, 1005, 1055, 5448, 1999, 12075, 2571, 1010, 8393, 1058, 1012, 6017, 2239, 1010, 16029, 1042, 1012, 14134, 2382, 1010, 2861, 1011, 3943, 1006, 1016, 25022, 2099, 1012, 3551, 1007, 1010, 2061, 2092, 5577, 1996, 14170, 4281, 1997, 1996, 18207, 2085, 2077, 2149, 2008, 1037, 12654, 4861, 2097, 10514, 26989, 3401, 2012, 2023, 2391, 1012, 2006, 2233, 2861, 1010, 3777, 1010, 6017, 2239, 10243, 1012, 1010, 4297, 1012, 1010, 1037, 2312, 20196, 1997, 7390, 1998, 2160, 23127, 1999, 2047, 2259, 1010, 6406, 1037, 9964, 2005, 6512, 2104, 3127, 8418, 1997, 1996, 10528, 2552, 1999, 1996, 2212, 2457, 2005, 1996, 2642, 2212, 1997, 2047, 2259, 1012, 2206, 1037, 8552, 2186, 1997, 7860, 2011, 23112, 1010, 1996, 10528, 19153, 2020, 12527, 2006, 2255, 2654, 1010, 3699, 1010, 2011, 1037, 5330, 1005, 1055, 2344, 19195, 1996, 4651, 1997, 2035, 1996, 7016, 2953, 1005, 1055, 7045, 1998, 24501, 25164, 2000, 1996, 4895, 3366, 19405, 23112, 2035, 5320, 1997, 2895, 2114, 2049, 3738, 1010, 5501, 1998, 4518, 17794, 1012, 7221, 21531, 13535, 2100, 2552, 1073, 1018, 1006, 1038, 1007, 1012, 2012, 2008, 2051, 1037, 4848, 2114, 17243, 1055, 1012, 6017, 2239, 1010, 2028, 1997, 1996, 3738, 1998, 5501, 1010, 2018, 2042, 14948, 1999, 1996, 2047, 2259, 5434, 2006, 6852, 1997, 2035, 23112, 1025, 2178, 2465, 2895, 2001, 8420, 3859, 6920, 1012, 2043, 6017, 2239, 3525, 8315, 1996, 2224, 1997, 1996, 2465, 2895, 5080, 1998, 27481, 2098, 2008, 2169, 4923, 2953, 2442, 5323, 2010, 3265, 4366, 1010, 23112, 22527, 1996, 2212, 2457, 2000, 2128, 26915, 1996, 10528, 4994, 2005, 1996, 3800, 1997, 28050, 1037, 8393, 2030, 13209, 2000, 3711, 1999, 1996, 2047, 2259, 8931, 1012, 2006, 2233, 1017, 1010, 3546, 1010, 3648, 13962, 11882, 1996, 3776, 1998, 2805, 1037, 8393, 1012, 2044, 1996, 8393, 1005, 1055, 4367, 2000, 18793, 1999, 1996, 2110, 2457, 2001, 6380, 2302, 18024, 1010, 2002, 8420, 1037, 4848, 2114, 6017, 2239, 1999, 1996, 2212, 2457, 2005, 1996, 2642, 2212, 1997, 2047, 2259, 1012, 3648, 13962, 7219, 1996, 12087, 1998, 2006, 5574, 2023, 2457, 5531, 2008, 2043, 2035, 1996, 7016, 2953, 1005, 1055, 7045, 2018, 2042, 4015, 1998, 2035, 5320, 1997, 2895, 2114, 2049, 3738, 1998, 5501, 2018, 2042, 9235, 2000, 1996, 23112, 1010, 2053, 3978, 2815, 2000, 2490, 11537, 1997, 23112, 1005, 4447, 2011, 1037, 8393, 2805, 2104, 3127, 8418, 1997, 1996, 10528, 2552, 1010, 1998, 2008, 2107, 1037, 4848, 2001, 1000, 2019, 24156, 4118, 1997, 8550, 9634, 2000, 1996, 2976, 5434, 1012, 1000, 16029, 1042, 1012, 14134, 2012, 3943, 1012, 14158, 2008, 1996, 3160, 2018, 2025, 2042, 3591, 1010, 1996, 2457, 2106, 2025, 9266, 2213, 1996, 6686, 6413, 2000, 5136, 1000, 3251, 2070, 4522, 7709, 2453, 17552, 1037, 2976, 7057, 2800, 2005, 1996, 11537, 1997, 2122, 4447, 1012, 1000, 16029, 1042, 1012, 14134, 2012, 3943, 1012, 2008, 3277, 2085, 3310, 2077, 2149, 1012, 1016, 3859, 2044, 2256, 3247, 1010, 1037, 2569, 3116, 1997, 23112, 1997, 6017, 2239, 10243, 1012, 2001, 2218, 2006, 2349, 5060, 1010, 1998, 12075, 2571, 2001, 2700, 13209, 1012, 2002, 3202, 9100, 1996, 2886, 2011, 5026, 2023, 2895, 2114, 6017, 2239, 1999, 1996, 2212, 2457, 1012, 6017, 2239, 2333, 2005, 12654, 8689, 28913, 1996, 12087, 2119, 2005, 4945, 2000, 2110, 1037, 4366, 2588, 2029, 4335, 2071, 2022, 4379, 1998, 2005, 3768, 1997, 3977, 2000, 9790, 1025, 1996, 18974, 2001, 2008, 2035, 4447, 2114, 2032, 2018, 2042, 9235, 2000, 1996, 3265, 23112, 1010, 2040, 2020, 11828, 2037, 2128, 7583, 3111, 1999, 2019, 2895, 1999, 1996, 2047, 2259, 5434, 1010, 1998, 2008, 1996, 2128, 1011, 3098, 1997, 1996, 3776, 1998, 1996, 6098, 1997, 1037, 13209, 2106, 2025, 17447, 1996, 3732, 2007, 1996, 4447, 2947, 4015, 1012, 3648, 13962, 5228, 13579, 2004, 2000, 2976, 7360, 1010, 2021, 2144, 1996, 2391, 2018, 2025, 2042, 4766, 2098, 2030, 5275, 1010, 1015, 2245, 2009, 2062, 6742, 2000, 2552, 2588, 1996, 18974, 2015, 9720, 1999, 1996, 3048, 4981, 1012, 2061, 2725, 1010, 2002, 7219, 1996, 12087, 2006, 1996, 2598, 2008, 1000, 20579, 2038, 2053, 3977, 2000, 9790, 2144, 2002, 2038, 2053, 6095, 2030, 2491, 1997, 1996, 13647, 4366, 2005, 4335, 1998, 2003, 3568, 2025, 1996, 2613, 2283, 1999, 3037, 1012, 1000, 2013, 2023, 8689, 1996, 13209, 9023, 1012, 1045, 1012, 1017, 2750, 1996, 8702, 2791, 1997, 1996, 2607, 2628, 2011, 1996, 2212, 3648, 1010, 2057, 2228, 1996, 3160, 1997, 2976, 7360, 2323, 2022, 4320, 1999, 18525, 3170, 2077, 4285, 1996, 3277, 1997, 1996, 13209, 1005, 1055, 3977, 2000, 9790, 1010, 2156, 12563, 19864, 1058, 1012, 2142, 2811, 2248, 1010, 13710, 1042, 1012, 14134, 20636, 1010, 19594, 1006, 1016, 25022, 2099, 1012, 3699, 1007, 1012, 2009, 2003, 2995, 2008, 12563, 19864, 2001, 4986, 2007, 7360, 2058, 1996, 2711, 1010, 1999, 1996, 6438, 1997, 2029, 2151, 8689, 2052, 2022, 11675, 1010, 6168, 3768, 1997, 2976, 7360, 2052, 2025, 2788, 8984, 2598, 2005, 24172, 2886, 1012, 2717, 3686, 3672, 1010, 26186, 1073, 1021, 1010, 7615, 1039, 1006, 3758, 1007, 1012, 2174, 1010, 1037, 2976, 2457, 2029, 2038, 3264, 1037, 2825, 3768, 1997, 2976, 7360, 2442, 3227, 6689, 2000, 10838, 2582, 2127, 2009, 2038, 27597, 10395, 1996, 4797, 1010, 6395, 1058, 1012, 5003, 27595, 1010, 26953, 1057, 1012, 1055, 1012, 23297, 1010, 4583, 1055, 1012, 14931, 1012, 17832, 1010, 6535, 1048, 1012, 3968, 1012, 27908, 1006, 4579, 1007, 1010, 1998, 1010, 2750, 1996, 2569, 16852, 14801, 1999, 1996, 7785, 2008, 2453, 16114, 6712, 2013, 2008, 3218, 1999, 2023, 2553, 1010, 1016, 2057, 4618, 2034, 11628, 1996, 7360, 2389, 3277, 1012, 1018, 1996, 12087, 1010, 2004, 3648, 13962, 3264, 1010, 3478, 2000, 14037, 2007, 1996, 3094, 1997, 1042, 1012, 1054, 1012, 25022, 2615, 1012, 1052, 1012, 1022, 1006, 1037, 1007, 1006, 1015, 1007, 2008, 2009, 5383, 1000, 1037, 2460, 1998, 5810, 4861, 1997, 1996, 5286, 2588, 2029, 1996, 2457, 1005, 1055, 7360, 9041, 1012, 1000, 2023, 2442, 2022, 11479, 2041, 2013, 1996, 2738, 14485, 25854, 9989, 1012, 13474, 6017, 2239, 1998, 2010, 9064, 3079, 2035, 1996, 4518, 1997, 6017, 2239, 10243, 1012, 1010, 1996, 17482, 1012, 2005, 2116, 2086, 11003, 1996, 15242, 1997, 2049, 3127, 8418, 9964, 2006, 2233, 2861, 1010, 3777, 1010, 2002, 2001, 1999, 3161, 3715, 1997, 2049, 3821, 1010, 1998, 1010, 3272, 2005, 2019, 13483, 2013, 2281, 1020, 2000, 2285, 2382, 1010, 3851, 1010, 2001, 2049, 2343, 1998, 1037, 2472, 1012, 1999, 2257, 3851, 1010, 2002, 13630, 1996, 5096, 1997, 1996, 6017, 2239, 10243, 1012, 4518, 2005, 1002, 1015, 1010, 8698, 1010, 2199, 2000, 2365, 1011, 2928, 6088, 1010, 4297, 1012, 1010, 1037, 3840, 4114, 2011, 1996, 5309, 2869, 1012, 2365, 1011, 2928, 11780, 1002, 1015, 1010, 8698, 1010, 2199, 2013, 6017, 2239, 10243, 1012, 1996, 3732, 1010, 2007, 1996, 3716, 1998, 9619, 1997, 6017, 2239, 1010, 10277, 2007, 2536, 2614, 7045, 1999, 2344, 2000, 2191, 1996, 5414, 1010, 2005, 2029, 2009, 2363, 15144, 2094, 2139, 10609, 22662, 1997, 2365, 1011, 2928, 2383, 1000, 2053, 3006, 3643, 1998, 2053, 12192, 5096, 3085, 3643, 1012, 1000, 1017, 2348, 1996, 2270, 2001, 6727, 1997, 1996, 5309, 1997, 1996, 4518, 2011, 2365, 1011, 2928, 1010, 2045, 2001, 2053, 19380, 2008, 1002, 1015, 1010, 8698, 1010, 2199, 1997, 6017, 2239, 10243, 1012, 7045, 2018, 2042, 6381, 4383, 1998, 2109, 2000, 10956, 1996, 5309, 1012, 1996, 2139, 10814, 3508, 1997, 2122, 7045, 2006, 2281, 1020, 1010, 3851, 1010, 10155, 6017, 2239, 10243, 1012, 16021, 4747, 15338, 1010, 1998, 2009, 2815, 2061, 1012, 1999, 2804, 1010, 2007, 6017, 2239, 1005, 1055, 3716, 1998, 9619, 1010, 2090, 2254, 3624, 1998, 2337, 3777, 1010, 1002, 1015, 1010, 29567, 1010, 6021, 2683, 1012, 4413, 2001, 9633, 2013, 6017, 2239, 10243, 1012, 2924, 6115, 1998, 3825, 2058, 2000, 2365, 1011, 2928, 1010, 3053, 2431, 2108, 29223, 2000, 1996, 3732, 1005, 1055, 2224, 1025, 2060, 20571, 2020, 3825, 2011, 6017, 2239, 10243, 1012, 2000, 2365, 1011, 2928, 2302, 9584, 1025, 1999, 2337, 3777, 6017, 2239, 10243, 1012, 3734, 1996, 7045, 1997, 1037, 2194, 2013, 2365, 1011, 2928, 2005, 5356, 1010, 2021, 6920, 3825, 2058, 2000, 2365, 1011, 2928, 1996, 28258, 2013, 2049, 3169, 1025, 2006, 2233, 2654, 1010, 3624, 1010, 6017, 2239, 10243, 1012, 4137, 6115, 28667, 7416, 12423, 2000, 2417, 2483, 3597, 1010, 4297, 1012, 1010, 2005, 1037, 5414, 1997, 1002, 5818, 2629, 1010, 4805, 2549, 1010, 1997, 2029, 1002, 6191, 2683, 1010, 2199, 2001, 2109, 2000, 3477, 1996, 5703, 1997, 1996, 4787, 1041, 1012, 25038, 1004, 2522, 1012, 5414, 2000, 2365, 1011, 2928, 2005, 1996, 5309, 1997, 6017, 2239, 10243, 1012, 4518, 1025, 1998, 9849, 2104, 2023, 3820, 2007, 2417, 2483, 3597, 3445, 2000, 1002, 1015, 1010, 5989, 2692, 1010, 13710, 2011, 2337, 1021, 1010, 3777, 1012, 1996, 2536, 11817, 2020, 6884, 2000, 23640, 3720, 2184, 1997, 1996, 2047, 2259, 7016, 2953, 1998, 4923, 2953, 2375, 1010, 11338, 4939, 5420, 1005, 1055, 9530, 19454, 1012, 4277, 1010, 1039, 1012, 2260, 1010, 1073, 3438, 1997, 1996, 2236, 3840, 2375, 1010, 11338, 4939, 5420, 1005, 1055, 9530, 19454, 1012, 4277, 1010, 1039, 1012, 2603, 1010, 1073, 1073, 2321, 1998, 5388, 1997, 1996, 4518, 3840, 2375, 1010, 11338, 4939, 5420, 1005, 1055, 9530, 19454, 1012, 4277, 1010, 1039, 1012, 5354, 1010, 1998, 1073, 6163, 1997, 1996, 10528, 2552, 1012, 1019, 2976, 7360, 2058, 2107, 1037, 4848, 2011, 1037, 13209, 2003, 4758, 2011, 1073, 2603, 1997, 1996, 10528, 2552, 1024, 1018, 1020, 1073, 2603, 1012, 7360, 1997, 2142, 2163, 1998, 2110, 5434, 1012, 1037, 1012, 1996, 2142, 2163, 2212, 5434, 4618, 2031, 7360, 1997, 2035, 25962, 2012, 2375, 1998, 1999, 10067, 1010, 2004, 5182, 2013, 8931, 2104, 2023, 2552, 1010, 2090, 19278, 1998, 9360, 2004, 2107, 1998, 15316, 4366, 11390, 1010, 7175, 1996, 3200, 3734, 2030, 3555, 2011, 1996, 19278, 2030, 9360, 1010, 1999, 1996, 2168, 5450, 1998, 2000, 1996, 2168, 6698, 2004, 2295, 2107, 8931, 2018, 2025, 2042, 14948, 1998, 2107, 25962, 2018, 2042, 2090, 1996, 17482, 2015, 1998, 2107, 15316, 4366, 11390, 1012, 1021, 1038, 1012, 11072, 2011, 1996, 8393, 1998, 1996, 13209, 4618, 2022, 2716, 2030, 21651, 2069, 1999, 1996, 5434, 2073, 1996, 17482, 2453, 2031, 2716, 2030, 21651, 2068, 2065, 8931, 2104, 2023, 2552, 2018, 2025, 2042, 14948, 1010, 4983, 2011, 9619, 1997, 1996, 13474, 1010, 3272, 2004, 3024, 1999, 5433, 3438, 1010, 6163, 1010, 1998, 3963, 1997, 2023, 2552, 1012, 1022, 1996, 2212, 2457, 2001, 15123, 1999, 10262, 2008, 6017, 2239, 2003, 1037, 6319, 1997, 2047, 2259, 1998, 2947, 1999, 16228, 2008, 1996, 7016, 2953, 1010, 1037, 2047, 2259, 3840, 1010, 2071, 2025, 2031, 12923, 2032, 1999, 2976, 2457, 1012, 6017, 2239, 2038, 2025, 2664, 9619, 2098, 2000, 2107, 1037, 4848, 1010, 1998, 2009, 3849, 9832, 2008, 2002, 2097, 1010, 2156, 1042, 2078, 1012, 1016, 1012, 9962, 2107, 1037, 9619, 1010, 2976, 7360, 2515, 2025, 4839, 4983, 1996, 4848, 4212, 2306, 1996, 8910, 1997, 1073, 1073, 3438, 1010, 6163, 2030, 3963, 1997, 1996, 10528, 2552, 1517, 12711, 1999, 3127, 8418, 8931, 2011, 11870, 1997, 1073, 1073, 22060, 1010, 4090, 2475, 1998, 28906, 1517, 2029, 9530, 7512, 2976, 7360, 2058, 3056, 20228, 24553, 4506, 2000, 8980, 3200, 1012, 2006, 1996, 2060, 2192, 1037, 4189, 3752, 1997, 1073, 2603, 15770, 2015, 2976, 7360, 1999, 2151, 2107, 2553, 2130, 2295, 2023, 2089, 2025, 10785, 2675, 2007, 2296, 3661, 1025, 2750, 1996, 14888, 2417, 18426, 9407, 1998, 26917, 2015, 1999, 1996, 11671, 1010, 2029, 6649, 3791, 18181, 1010, 1019, 2009, 3849, 7199, 5810, 2008, 3519, 3832, 1037, 13209, 2000, 2022, 2583, 2000, 12388, 26869, 1037, 20228, 24553, 4848, 1999, 2976, 2457, 2065, 1010, 2348, 2069, 2065, 1010, 2028, 1997, 1996, 4372, 17897, 9250, 3785, 2001, 8510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 16175, 15869, 4442, 9605, 17782, 16175, 2135, 2618, 24972, 1006, 21877, 5244, 1007, 2089, 2022, 3498, 2004, 4762, 4442, 16726, 1037, 4762, 1998, 2019, 23060, 8524, 3372, 2024, 16175, 15869, 2135, 4991, 2012, 1996, 3526, 28688, 2015, 2000, 3965, 5992, 2373, 1010, 2030, 2004, 16175, 2135, 16750, 16726, 2019, 6327, 5992, 2783, 2003, 2979, 2090, 1996, 3526, 28688, 2015, 1010, 4050, 2083, 2300, 1010, 4525, 1999, 4245, 1997, 9732, 1998, 7722, 2012, 1996, 7972, 28688, 2015, 1997, 1996, 3526, 1012, 20965, 1012, 1015, 24899, 1037, 5171, 2640, 1997, 1037, 7511, 16175, 15869, 3526, 9605, 1037, 21877, 2213, 1010, 1998, 1037, 9991, 1997, 2107, 4442, 1012, 2169, 3526, 8681, 1037, 10804, 28688, 3320, 1006, 2033, 2050, 1007, 1019, 2107, 2004, 2008, 7203, 1999, 2019, 9913, 3193, 1999, 20965, 1012, 20720, 1012, 2033, 2050, 1019, 8681, 2019, 10163, 1011, 9283, 21877, 2213, 6741, 1016, 6970, 19155, 2090, 2048, 28688, 9014, 1015, 1010, 1017, 2029, 2024, 4050, 18499, 3560, 1998, 29103, 6204, 3512, 1010, 1998, 15821, 2019, 16175, 11266, 20766, 3367, 2012, 1996, 8278, 2007, 1996, 5516, 21877, 2213, 6741, 1016, 2005, 7694, 1996, 9059, 16175, 15869, 4668, 1012, 1996, 16175, 11266, 20766, 3367, 3227, 11859, 1996, 16175, 15869, 2135, 3161, 2181, 1997, 1996, 3526, 1012, 1996, 2033, 2050, 2003, 4050, 10495, 2004, 1037, 20886, 16983, 15833, 3320, 1012, 1999, 2019, 3265, 3526, 2184, 1010, 7203, 1999, 2019, 9913, 3193, 1999, 20965, 1012, 26314, 1010, 2019, 2033, 2050, 2003, 6970, 19155, 2090, 1037, 3940, 1997, 19802, 25879, 2953, 7766, 2340, 1010, 2260, 1010, 2029, 2024, 4050, 8331, 17727, 2121, 4168, 3085, 1998, 29103, 6204, 3512, 1012, 1996, 3526, 19802, 25879, 2953, 7766, 2024, 4050, 7609, 2013, 2512, 1011, 11970, 2107, 2004, 10629, 4221, 2030, 2013, 11970, 1010, 2107, 2004, 3056, 7022, 1997, 3886, 2030, 3302, 5845, 11970, 1010, 2030, 2013, 29103, 6204, 3512, 6081, 12490, 4475, 1012, 8331, 4834, 7258, 1010, 2107, 2004, 13768, 2030, 8477, 1010, 2024, 3024, 2090, 1996, 5127, 1998, 1996, 5516, 28688, 2000, 10956, 3229, 1997, 10509, 11390, 2000, 1996, 28688, 2015, 1998, 8208, 1997, 3688, 1012, 2107, 7258, 2089, 1010, 2005, 2742, 1010, 2022, 3024, 2011, 2965, 1997, 2686, 2869, 2090, 19802, 25879, 2953, 7766, 2340, 1010, 2260, 1998, 7978, 28688, 2015, 1015, 1010, 1017, 1010, 2030, 2011, 9347, 1997, 1037, 20437, 2030, 18499, 3560, 8331, 4834, 6741, 2090, 19802, 25879, 2953, 7766, 2340, 1010, 2260, 1998, 7978, 28688, 2015, 1015, 1010, 1017, 1012, 2062, 4141, 6833, 1006, 2025, 3491, 1007, 2024, 2719, 1999, 1996, 2227, 1997, 1996, 19802, 25879, 2953, 5127, 5307, 1996, 28688, 1012, 19802, 25879, 2953, 7766, 9605, 2107, 6833, 2024, 4141, 3615, 2000, 2004, 8331, 4834, 2492, 7766, 1012, 1999, 7511, 21877, 2213, 4442, 1010, 24501, 18622, 4765, 3806, 3489, 3215, 2030, 13945, 2024, 4050, 3024, 2090, 1996, 5344, 1997, 1996, 2033, 2050, 1019, 1998, 2169, 19802, 25879, 2953, 5127, 2340, 1010, 2260, 2105, 1996, 13443, 2000, 4652, 17271, 4270, 1997, 8331, 10509, 4630, 1998, 4031, 9199, 1012, 16175, 15869, 4442, 2007, 1037, 10163, 1011, 6204, 3512, 21877, 2213, 6741, 1010, 2182, 3981, 6199, 2121, 2170, 21877, 2213, 4442, 1010, 2024, 5056, 13453, 16934, 2000, 2433, 1037, 9991, 2531, 1006, 2156, 20965, 1012, 1015, 2094, 1007, 9605, 1037, 29018, 1997, 4442, 21866, 2090, 1037, 3940, 1997, 2203, 7766, 2459, 1010, 2324, 1012, 1037, 13379, 7337, 1006, 2025, 3491, 1007, 2003, 4050, 4846, 2000, 2907, 1996, 4442, 7371, 2362, 1010, 5441, 2204, 5992, 3967, 2090, 6177, 1998, 2000, 4012, 20110, 1996, 13945, 1012, 1999, 1996, 7861, 5092, 21341, 7203, 1999, 20965, 1012, 1015, 2278, 1010, 2169, 3526, 2184, 8681, 1037, 3940, 1997, 19802, 25879, 2953, 7766, 2340, 1010, 2260, 1999, 1037, 9563, 2007, 2048, 19802, 25879, 2953, 7766, 2566, 2033, 2050, 1012, 11520, 7258, 2030, 9014, 2089, 2022, 3024, 2090, 2070, 2030, 2035, 1997, 1996, 5516, 7689, 1997, 19802, 25879, 2953, 7766, 1999, 1996, 9991, 3320, 1012, 2019, 4522, 9563, 2038, 1037, 2309, 19802, 25879, 2953, 5127, 2030, 1000, 29398, 5127, 1000, 6970, 19155, 2090, 7689, 1997, 2033, 3022, 1010, 3967, 2075, 1996, 4937, 6806, 3207, 1997, 2028, 3526, 1998, 1996, 2019, 10244, 1997, 1996, 5516, 3526, 1010, 2947, 4525, 1999, 2069, 2028, 19802, 25879, 2953, 5127, 2566, 2033, 2050, 1999, 1996, 9991, 1006, 3272, 2005, 1996, 2203, 3526, 1007, 1012, 1996, 9991, 2089, 8681, 1037, 11520, 6741, 6970, 19155, 2090, 2296, 2261, 4442, 1997, 1996, 9991, 1010, 2738, 2084, 2090, 2169, 5516, 3940, 1997, 4442, 1012, 1996, 3526, 3787, 2649, 2031, 16556, 2382, 2719, 2045, 2378, 2029, 1010, 1999, 1996, 16934, 3320, 1010, 25705, 2000, 2433, 8331, 19726, 2015, 2005, 4425, 1998, 15095, 1997, 10509, 11390, 1998, 3688, 1998, 1010, 2065, 11520, 7258, 2024, 3024, 1010, 2005, 1037, 11520, 5396, 1012, 2153, 1010, 24501, 18622, 4765, 3806, 3489, 3215, 2030, 13945, 2024, 4050, 3024, 2090, 1996, 5344, 1997, 1996, 2033, 2050, 1019, 1998, 2169, 19802, 25879, 2953, 5127, 2340, 1010, 2260, 2105, 1996, 13443, 1997, 2122, 8331, 19726, 16556, 2000, 4652, 17271, 4270, 1998, 6970, 4328, 19612, 1997, 8331, 9199, 1999, 1996, 4082, 9991, 1012, 1999, 1996, 2925, 2009, 2003, 11436, 2008, 1037, 2350, 2181, 1997, 4646, 2005, 21877, 2213, 4762, 4442, 1010, 2097, 2022, 2005, 5992, 2373, 4245, 1999, 17337, 2373, 4264, 1998, 12109, 2373, 4245, 3001, 1010, 1998, 2005, 16404, 1999, 5013, 4683, 1012, 2005, 2122, 5097, 1010, 1037, 21877, 2213, 4762, 3526, 2326, 2166, 1997, 2012, 2560, 2184, 2086, 2003, 16166, 1012, 2537, 5366, 2024, 2590, 1998, 2097, 2377, 1037, 2430, 2535, 1999, 1996, 3144, 3293, 3989, 1997, 21877, 2213, 4762, 4442, 2005, 2122, 5097, 1012, 2060, 2590, 16852, 2043, 12697, 1037, 21877, 2213, 3526, 2024, 17839, 1998, 3465, 1011, 12353, 1997, 6032, 1998, 7192, 1012, 1996, 2556, 11028, 14623, 2000, 5301, 23038, 1998, 2810, 1997, 3265, 21877, 2213, 4442, 1998, 20829, 1997, 2107, 4442, 1012, 7511, 21877, 2213, 3526, 23038, 10595, 3227, 12666, 24501, 18622, 4765, 3806, 3489, 3215, 2081, 1997, 3449, 14083, 8462, 7277, 4475, 1010, 2029, 2024, 4050, 21866, 1999, 25880, 1999, 1996, 19802, 25879, 2953, 7766, 2030, 2033, 3022, 1010, 2005, 2742, 1010, 2004, 2649, 1999, 1057, 1012, 1055, 1012, 6986, 1012, 16839, 1012, 1019, 1010, 18561, 1010, 5986, 2575, 1998, 1019, 1010, 26871, 1010, 6390, 2620, 1012, 2058, 1996, 2607, 1997, 2019, 16175, 15869, 3526, 1005, 1055, 2326, 2166, 1996, 3449, 14083, 8462, 7277, 3806, 3489, 3215, 2024, 13532, 2000, 15330, 29130, 1998, 2823, 1037, 8401, 4082, 4044, 1012, 2058, 2051, 2107, 3806, 3489, 3215, 7166, 2000, 9885, 1999, 24501, 18622, 10127, 1010, 2005, 2742, 2349, 2000, 13379, 2275, 1998, 5072, 16627, 1010, 1998, 2089, 2468, 8642, 13366, 2953, 7583, 1012, 2023, 14670, 19762, 2006, 1996, 23038, 3853, 1998, 2064, 4821, 2599, 2000, 2019, 3445, 18949, 1997, 29324, 1012, 2007, 2107, 3806, 3489, 3064, 7766, 1010, 1996, 6081, 29130, 1997, 1996, 7766, 7457, 2004, 1996, 2440, 2486, 1997, 3778, 2006, 1996, 23038, 2181, 1997, 1996, 5127, 2003, 10843, 4162, 1012, 9308, 1010, 2019, 17837, 3806, 3489, 2102, 3778, 2486, 4353, 2247, 1996, 3091, 1997, 1996, 9991, 1010, 2007, 1037, 6263, 1999, 1996, 2415, 1010, 2064, 2022, 5159, 1999, 20829, 2478, 2107, 1037, 23038, 7337, 1012, 2947, 1010, 1996, 23038, 3787, 1997, 1996, 4442, 2024, 4050, 6086, 2000, 3020, 3778, 1999, 1996, 2203, 5127, 2752, 1999, 2344, 2000, 11302, 11706, 23038, 2836, 1999, 1996, 2415, 4442, 1997, 1996, 9991, 1012, 3445, 23038, 3778, 4162, 2000, 1996, 4442, 1999, 1996, 2203, 5127, 2752, 2089, 2059, 2599, 2000, 3445, 6081, 29130, 2015, 1998, 1037, 7820, 2051, 2000, 3806, 3489, 2102, 4945, 1012, 1996, 3320, 1997, 1037, 21877, 2213, 3526, 9991, 2029, 8681, 1037, 29018, 1997, 21877, 2213, 4442, 2169, 2383, 2116, 3584, 3806, 3489, 3215, 2029, 2442, 2022, 7130, 2000, 2030, 2719, 2006, 1996, 2536, 6177, 2003, 4450, 1011, 11806, 1010, 17047, 1998, 3227, 4895, 28880, 2098, 2000, 2152, 1011, 3872, 9922, 2349, 2000, 1996, 20889, 1997, 3033, 1998, 3320, 4084, 3223, 1012, 2582, 1010, 1999, 1996, 2640, 1998, 9922, 1997, 21877, 2213, 4442, 1010, 1999, 2344, 2000, 6162, 1996, 9059, 15480, 1010, 2107, 2004, 3445, 2373, 4304, 1010, 2045, 2003, 1037, 4792, 2000, 2191, 1996, 3265, 3526, 3787, 23082, 1012, 11914, 1010, 2045, 2097, 2022, 26954, 8789, 13986, 2015, 3223, 2005, 2107, 4857, 3526, 3787, 1998, 2009, 2097, 2468, 2062, 3697, 2000, 2640, 3806, 3489, 3215, 2029, 2097, 5441, 2152, 8789, 13986, 2015, 1010, 2750, 1996, 2224, 1997, 3811, 21274, 4475, 1010, 2004, 2130, 3811, 21274, 4475, 2031, 1037, 3132, 21274, 29130, 2846, 1012, 2007, 7511, 21877, 2213, 3526, 5617, 1010, 2009, 2003, 2823, 3697, 2000, 6366, 1998, 7192, 2019, 3265, 3526, 2030, 2000, 6709, 2030, 3231, 2029, 4442, 1999, 1037, 9991, 2089, 5478, 7192, 1012, 7297, 1010, 4487, 20939, 3366, 14905, 2135, 1997, 1037, 9991, 5398, 1997, 3674, 4442, 2169, 9605, 3584, 3526, 6177, 2064, 2022, 2200, 17047, 2004, 1999, 2116, 12107, 1010, 2044, 1996, 8208, 1997, 2028, 3526, 1010, 1996, 3806, 3489, 3215, 1997, 2035, 1996, 3588, 4442, 2089, 2342, 2000, 2022, 2999, 2077, 1996, 9991, 2064, 2022, 2128, 27241, 23931, 1998, 26513, 1012, 2178, 20502, 1997, 7511, 21877, 2213, 4442, 18653, 2138, 1996, 21877, 2213, 4050, 3934, 3458, 1996, 7926, 1997, 1996, 28688, 2015, 1998, 3526, 19802, 25879, 2953, 7766, 2105, 1996, 13443, 1998, 2105, 19726, 16556, 1012, 1996, 18398, 4664, 1997, 1996, 21877, 2213, 2089, 3710, 2000, 4468, 2460, 13782, 2090, 7766, 1010, 1998, 2009, 4050, 10402, 1998, 17654, 2015, 2007, 1996, 3806, 3489, 3215, 2000, 2433, 1996, 8331, 7744, 2090, 1996, 2033, 2050, 1998, 19802, 25879, 2953, 7766, 1012, 2174, 1010, 2107, 5617, 7166, 2000, 2681, 1996, 21877, 2213, 3341, 6086, 2000, 2250, 1998, 1013, 2030, 10509, 4630, 2030, 4658, 4630, 9199, 1012, 7524, 2000, 2250, 2030, 2060, 4318, 3806, 9199, 2064, 3426, 17462, 1997, 1996, 21877, 2213, 2927, 2013, 1996, 3341, 1998, 3048, 2875, 1996, 2415, 1012, 17462, 1997, 1996, 10804, 2064, 2599, 2000, 4568, 4053, 2000, 1996, 10804, 1010, 4359, 3526, 2836, 1998, 4821, 15451, 11263, 27989, 1997, 1996, 21877, 2213, 4442, 1012, 7524, 1997, 1996, 21877, 2213, 3341, 2000, 2070, 4658, 11390, 1998, 2060, 9199, 2064, 2765, 1999, 3558, 1998, 1013, 2030, 5072, 4053, 2000, 1996, 10804, 2030, 28688, 2015, 1012, 2446, 6267, 7353, 4646, 2193, 2139, 4008, 4413, 21777, 5577, 1037, 21877, 2213, 3526, 9991, 2073, 3265, 6177, 1997, 1996, 9991, 2024, 27846, 4508, 2362, 2007, 1037, 4853, 5783, 2030, 18856, 16613, 1997, 1057, 1011, 5044, 2892, 1011, 2930, 1012, 4919, 1010, 1996, 3341, 8810, 1997, 2048, 19802, 25879, 2953, 7766, 2024, 4508, 2114, 1996, 10804, 1010, 2029, 2003, 21866, 2090, 2068, 1010, 2000, 2433, 1037, 3806, 1011, 4389, 7744, 1012, 1996, 2647, 2405, 4646, 4958, 1014, 27533, 11899, 1998, 3141, 1057, 1012, 1055, 1012, 6986, 1012, 2053, 1012, 1018, 1010, 6275, 2575, 1010, 5179, 2620, 26056, 1037, 6381, 16175, 2135, 2618, 4762, 3526, 2007, 1037, 18499, 3560, 28688, 16305, 2029, 2038, 1037, 7744, 4630, 3430, 19737, 2046, 1037, 14785, 3341, 4664, 21739, 1012, 4958, 1014, 13092, 5018, 5577, 1037, 4762, 3526, 9991, 2007, 6381, 1010, 4964, 16175, 2135, 4570, 1012, 1999, 2023, 9991, 9140, 1010, 2048, 5516, 1010, 18499, 3560, 1998, 3806, 1011, 7682, 7766, 2024, 20886, 2030, 22805, 2362, 2408, 2037, 2972, 3302, 1010, 1999, 1037, 2227, 1011, 2000, 1011, 2227, 5416, 1012, 1996, 3800, 1997, 2023, 6512, 2003, 2000, 2562, 1996, 15865, 1999, 1996, 2048, 3806, 1011, 7682, 7766, 5459, 2013, 2028, 2178, 1012, 1999, 1996, 4958, 1014, 5511, 2509, 6109, 2581, 1998, 3141, 1057, 1012, 1055, 1012, 6986, 1012, 2053, 1012, 1018, 1010, 4464, 2581, 1010, 6205, 2581, 1010, 3265, 6177, 1997, 1037, 4762, 3526, 9991, 2024, 22805, 2362, 2007, 2019, 4748, 21579, 3430, 1012, 1996, 3800, 1997, 2023, 6512, 2003, 2000, 5024, 2135, 3693, 1996, 6177, 2000, 2433, 1037, 9991, 1010, 1998, 2025, 2000, 2128, 6632, 6321, 7744, 1996, 3806, 7258, 1012, 2139, 2539, 4185, 6282, 2487, 26056, 2015, 1037, 4762, 3526, 9991, 2073, 1996, 28688, 2015, 2024, 4987, 2503, 1037, 27197, 6081, 4853, 1010, 4414, 1010, 1998, 2073, 1996, 27197, 11048, 2024, 22805, 2362, 1999, 1037, 3806, 1998, 6381, 1011, 4389, 5450, 1012, 2019, 5301, 16175, 15869, 21877, 2213, 3526, 3594, 2019, 4748, 21579, 19882, 4005, 2090, 3265, 21877, 2213, 3526, 6177, 1998, 1013, 2030, 2090, 5516, 21877, 2213, 4442, 1999, 1037, 9991, 1012, 1996, 2556, 3921, 3640, 1037, 11038, 21877, 2213, 3526, 1998, 9991, 2640, 2007, 1037, 4359, 2112, 4175, 1010, 1998, 3378, 5814, 1998, 3465, 6666, 1012, 23038, 2003, 3227, 2062, 10539, 2007, 2023, 3921, 1010, 1998, 7861, 5092, 21341, 2015, 1997, 1996, 2556, 2810, 2089, 9146, 6082, 9991, 4487, 20939, 3366, 14905, 2135, 1010, 5604, 1010, 7192 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2175, 2007, 2814, 2066, 2087, 2079, 1010, 2030, 2012, 2560, 2007, 2814, 2008, 2490, 2054, 2115, 2725, 1012, 10047, 2656, 1061, 2869, 2214, 1010, 1045, 2572, 1037, 3948, 18815, 1999, 18995, 2103, 5858, 1998, 1996, 17260, 2451, 2003, 2235, 1010, 2021, 2057, 2031, 1037, 2380, 1010, 2021, 1999, 1996, 3760, 2451, 24789, 18856, 7413, 2039, 1045, 2134, 1521, 1056, 4982, 2039, 2182, 2061, 1045, 1521, 1049, 2187, 2041, 1012, 1045, 4553, 1037, 1045, 2064, 3784, 1998, 3218, 2210, 2978, 1055, 2041, 1997, 1996, 2154, 2043, 1045, 2031, 2051, 2013, 2119, 5841, 1045, 2147, 1010, 1045, 2074, 2123, 1521, 1056, 2131, 1037, 2843, 1997, 12486, 3426, 1045, 8568, 2068, 1998, 2079, 2026, 2219, 2518, 1010, 2021, 1045, 1521, 2310, 4384, 2026, 12225, 2008, 1045, 2455, 2894, 7199, 3733, 2027, 2131, 3697, 1999, 1996, 3739, 1997, 2500, 2005, 2070, 3114, 2108, 3233, 7245, 4509, 1998, 17260, 2007, 1037, 13451, 14974, 2017, 1521, 2222, 2022, 10303, 1010, 2074, 2123, 1521, 1056, 2507, 2039, 2158, 2012, 2035, 5366, 2079, 2025, 2507, 2039, 1012, 5281, 18815, 999, 2023, 2604, 2003, 6429, 2005, 1996, 3976, 999, 1006, 5060, 1045, 2056, 2005, 1996, 3976, 1007, 2012, 1996, 2051, 1997, 2023, 3319, 1010, 1996, 2604, 2001, 1002, 4008, 1012, 2871, 1998, 2005, 2008, 3976, 1996, 2604, 1045, 2288, 2001, 13352, 2140, 1012, 2009, 2003, 1037, 1021, 1011, 20228, 2100, 5877, 2007, 13061, 9322, 1006, 4033, 2102, 6618, 2041, 1996, 21714, 2021, 2027, 5791, 2514, 2066, 1996, 14863, 2278, 1019, 2027, 4366, 2000, 2022, 1007, 1012, 1996, 9322, 4995, 2102, 1996, 2190, 3737, 2041, 2045, 1998, 1996, 2604, 2064, 2022, 1037, 2210, 23082, 1006, 2672, 1019, 1011, 20228, 2100, 1007, 2021, 1996, 3452, 2604, 2003, 6429, 1012, 2045, 2024, 2069, 2048, 10821, 1012, 1996, 4920, 1999, 1996, 7787, 2003, 1037, 4714, 4714, 14841, 6137, 4890, 2100, 2100, 2978, 2125, 2415, 1010, 2021, 2498, 2008, 2064, 2102, 2022, 4964, 2007, 1037, 2047, 2275, 1012, 1045, 2064, 2156, 2054, 2178, 3319, 2056, 2011, 2009, 2025, 2746, 9240, 1010, 2004, 1037, 3232, 1997, 1996, 19947, 2006, 1996, 7787, 2024, 1037, 2210, 6065, 1010, 2021, 1996, 2604, 2515, 2272, 9240, 1012, 1996, 11418, 3085, 3143, 2570, 1532, 17260, 6277, 2003, 1996, 2087, 9233, 2395, 2604, 2008, 2024, 3201, 1011, 2000, 1011, 2224, 1012, 2009, 2003, 2190, 2005, 6912, 1998, 4569, 1010, 1998, 2200, 12109, 1012, 2045, 2024, 2274, 6087, 2008, 2017, 2064, 5454, 2013, 2304, 1010, 2630, 1010, 2317, 1010, 6379, 1010, 1998, 2665, 1012, 2009, 2038, 2152, 1011, 3737, 2810, 1010, 2007, 1037, 2152, 1011, 4304, 6081, 5877, 1012, 2009, 2838, 5186, 5744, 5354, 7382, 7787, 2247, 2007, 14863, 2278, 2581, 21714, 1998, 5024, 13061, 9322, 1012, 2009, 5761, 2570, 1532, 2146, 1998, 1020, 1532, 2898, 1998, 21094, 1018, 7038, 1012, 2009, 2038, 1996, 2190, 5790, 1997, 1018, 1012, 1017, 2006, 9733, 1012, 7539, 1997, 2115, 10080, 3754, 2030, 2806, 1010, 10507, 2015, 2003, 1996, 15764, 2173, 2005, 1996, 2190, 17260, 6277, 19963, 2105, 1012, 2007, 5606, 1999, 4518, 1010, 2202, 2115, 4060, 2013, 2070, 1997, 1996, 5305, 4355, 19963, 2800, 999, 7344, 8395, 1010, 6243, 1010, 2331, 9148, 4095, 1010, 5783, 1010, 4372, 5558, 2072, 1010, 2611, 1010, 6160, 1012, 1059, 2243, 4859, 1010, 4203, 8096, 1010, 10968, 1010, 1998, 2613, 2024, 2426, 1996, 2087, 2759, 3253, 1012, 5678, 1010, 3862, 9639, 2107, 2004, 2471, 1010, 1040, 2290, 2243, 1010, 11238, 1010, 1047, 25399, 2098, 1010, 7344, 8395, 1010, 17260, 5177, 1010, 5717, 1010, 6492, 1010, 1998, 7967, 2024, 2800, 2005, 2035, 2115, 10080, 3791, 1012, 1996, 18815, 2064, 5114, 3618, 14860, 2013, 1996, 2598, 2011, 8660, 3020, 1010, 20095, 5514, 1010, 8058, 1996, 2392, 3329, 8736, 19390, 1006, 3225, 1996, 5376, 2007, 1996, 2392, 3329, 8736, 2067, 1007, 1010, 1998, 4815, 1996, 3456, 3020, 2046, 1996, 3108, 2000, 5333, 1996, 2519, 3020, 1012, 24789, 7161, 2501, 1011, 4292, 25208, 2015, 2130, 9530, 25485, 1996, 3456, 2061, 2008, 2604, 1998, 2519, 2024, 2025, 3495, 2917, 2068, 1010, 4352, 1996, 2604, 2000, 4125, 2012, 2030, 2074, 2917, 1996, 2504, 1997, 1996, 21877, 28530, 1012, 2013, 10036, 17260, 15271, 2000, 2152, 2203, 1010, 7661, 3143, 17260, 6277, 19963, 1010, 2057, 2031, 7923, 2005, 8195, 1997, 2296, 8066, 2504, 1998, 4171, 21605, 1011, 2057, 2131, 2009, 1010, 2057, 2404, 17260, 21172, 2077, 2673, 2842, 2034, 1012, 2065, 2017, 2064, 1521, 1056, 2467, 8984, 1037, 2047, 2604, 1010, 2021, 2175, 2083, 19963, 2066, 11848, 3259, 1010, 5136, 1037, 10507, 2015, 17260, 6277, 1011, 2027, 3465, 2625, 1010, 2021, 2024, 7609, 1999, 1996, 2168, 11123, 2004, 2060, 9639, 2057, 4287, 1012, 10507, 2015, 17260, 15271, 2024, 2218, 2000, 1996, 2168, 4781, 2004, 2296, 17260, 6277, 2057, 5271, 1010, 2021, 2057, 2064, 5271, 2068, 2005, 2625, 1012, 1996, 7787, 1997, 2115, 17260, 6277, 2064, 6551, 7461, 2115, 4536, 1999, 3365, 3971, 1010, 2107, 2004, 1996, 3177, 1010, 2115, 3754, 2000, 2202, 2491, 1997, 1996, 17260, 6277, 1521, 1055, 5750, 1010, 1998, 2054, 2017, 2514, 2096, 5559, 1996, 2604, 1012, 1996, 2204, 2739, 2003, 2008, 2027, 2272, 1999, 2536, 10826, 1010, 3798, 1997, 4241, 2527, 8553, 1010, 1998, 6087, 1010, 4352, 2017, 2000, 4060, 2028, 2008, 11072, 2115, 17260, 6277, 12157, 1998, 2806, 1012, 25208, 8380, 1024, 2019, 25208, 2073, 1996, 17260, 6277, 2121, 1998, 1996, 17260, 6277, 23371, 8380, 5445, 2044, 2975, 1996, 2598, 1012, 2119, 1996, 17260, 6277, 2121, 1998, 1996, 17260, 6277, 24357, 1999, 1996, 2168, 3257, 1006, 21430, 5178, 2030, 25065, 1007, 2007, 1996, 17260, 6277, 2121, 1005, 1055, 2519, 13423, 2000, 1996, 17260, 6277, 1012, 2023, 7577, 2003, 2788, 3615, 2000, 2004, 1037, 21430, 5178, 2030, 25065, 8380, 1010, 2030, 2625, 4703, 1998, 2062, 2759, 2007, 3080, 17260, 6277, 2545, 1998, 1013, 2030, 2043, 2864, 2006, 1037, 2924, 1013, 4284, 24548, 1010, 1037, 21430, 5178, 1013, 25065, 25208, 1996, 8997, 3585, 5202, 1016, 17260, 6277, 2003, 2019, 15184, 1998, 3143, 17260, 6277, 2005, 1996, 4088, 16912, 1998, 2036, 2005, 1996, 3935, 24789, 1012, 2009, 2038, 2152, 1011, 27755, 1010, 2192, 1011, 3459, 26572, 5397, 21604, 2063, 7787, 2000, 2507, 2017, 1037, 2307, 4897, 1998, 6218, 1012, 2009, 5761, 1021, 1012, 1019, 5282, 2898, 2007, 1037, 14231, 3898, 1011, 6267, 3953, 1012, 2009, 2003, 2081, 1999, 2859, 1998, 2038, 2019, 2779, 5790, 1997, 1018, 1012, 1016, 2006, 9733, 1012, 4139, 2115, 5042, 2039, 2046, 2115, 3108, 1516, 2129, 2521, 2017, 2941, 2215, 2000, 4139, 2115, 3456, 2039, 2003, 6135, 2039, 2000, 2017, 1010, 2021, 1996, 3020, 2115, 2519, 2175, 1010, 1996, 3020, 2115, 2604, 2097, 2175, 2205, 1012, 2011, 1996, 2126, 1010, 1996, 3284, 2680, 6871, 11032, 25208, 1011, 3769, 2003, 3429, 5282, 1010, 2589, 2011, 2632, 13626, 2378, 7439, 1010, 1998, 1996, 3284, 6942, 11032, 25208, 1011, 3769, 2003, 2871, 1012, 8732, 5282, 1010, 2011, 9448, 4880, 11715, 1012, 1998, 2065, 2017, 1521, 2128, 2183, 2005, 14280, 2738, 2084, 4578, 1010, 1996, 2501, 2005, 2087, 5486, 6154, 2015, 2003, 2218, 2011, 6487, 1040, 12541, 24463, 1010, 2040, 2106, 17405, 1997, 2068, 1999, 1037, 5216, 2006, 2010, 2694, 2265, 6487, 1998, 2502, 1012, 2061, 2216, 2507, 2017, 2242, 2000, 5607, 2005, 1012, 2023, 2001, 1037, 3722, 5309, 1012, 2053, 3314, 2012, 2035, 1998, 1996, 17260, 15271, 2024, 2428, 3835, 999, 2070, 2111, 2031, 2056, 2009, 3310, 14477, 11393, 23931, 1010, 2008, 1005, 1055, 2025, 1996, 2553, 1012, 1045, 3641, 1016, 2367, 7923, 1998, 2119, 2234, 9240, 1998, 3201, 2000, 4897, 1012, 1012, 1996, 7923, 2024, 9370, 2007, 6218, 6823, 1998, 9322, 1998, 7787, 2020, 9240, 6669, 1012, 2065, 1045, 2018, 1037, 2342, 2000, 2131, 2178, 2604, 1045, 2052, 2448, 3442, 2067, 2000, 2023, 8934, 1010, 2027, 2024, 2307, 999, 2043, 2559, 2012, 17260, 21172, 1521, 1055, 2381, 1010, 1996, 2069, 2518, 2008, 1521, 1055, 4370, 1996, 2168, 2003, 1996, 3452, 3252, 1024, 2296, 2604, 3774, 1997, 2176, 17260, 6277, 7787, 1010, 2048, 17260, 6277, 9322, 1010, 1998, 1037, 5559, 3302, 1997, 2070, 2785, 1012, 1998, 2096, 2057, 1521, 2310, 2272, 1037, 2146, 2126, 2013, 1996, 2420, 1997, 3384, 1998, 5726, 7787, 1010, 2070, 5919, 1997, 17260, 21172, 1011, 2066, 1996, 9639, 5814, 2070, 1997, 1996, 2087, 9480, 3688, 1011, 4033, 1521, 1056, 2904, 2012, 2035, 1012, 2981, 9322, 2038, 2042, 12697, 9322, 2144, 3301, 1012, 8997, 2566, 2389, 2696, 1010, 1996, 2194, 3625, 2005, 8997, 17260, 15271, 1010, 5944, 7787, 1010, 5944, 21714, 1010, 1998, 1996, 5944, 4250, 2036, 2318, 1999, 3301, 1012, 17237, 1010, 4297, 1012, 1010, 1996, 2194, 2008, 7137, 4203, 8096, 17260, 15271, 1010, 2981, 9322, 1010, 22953, 15551, 3177, 21714, 1010, 1047, 6820, 2595, 9322, 1010, 11238, 17260, 15271, 1010, 26220, 2696, 7787, 1010, 11240, 6218, 1010, 1998, 1051, 3501, 7787, 2318, 1999, 3381, 1012, 2009, 1521, 1055, 2053, 4687, 2122, 9639, 2024, 2145, 2725, 2061, 2092, 1011, 2027, 1521, 2310, 2042, 2007, 17260, 21172, 2144, 1996, 2927, 1012, 2144, 1996, 2154, 17260, 21172, 2253, 2013, 2242, 27747, 2015, 2106, 2043, 1996, 5975, 2020, 4257, 2000, 2049, 2219, 4368, 2008, 7336, 6028, 1010, 3218, 1010, 1998, 6176, 9584, 1010, 1037, 2235, 9210, 3316, 2031, 2042, 2045, 2000, 2393, 17260, 21172, 2468, 2054, 2009, 2003, 2651, 1012, 1037, 17260, 6277, 2003, 2333, 2011, 6183, 2007, 2028, 3329, 2096, 1996, 2060, 3464, 2006, 1996, 2604, 1010, 2030, 2011, 14107, 2028, 1005, 1055, 3456, 1999, 5090, 2107, 2004, 1037, 4605, 2030, 2431, 8667, 1012, 1037, 17260, 6277, 2064, 2036, 2022, 2109, 2011, 3432, 3061, 2006, 1996, 5877, 2096, 2006, 1037, 14047, 9663, 1998, 4352, 8992, 2000, 17678, 2884, 1996, 2604, 1998, 7945, 1012, 2065, 1996, 7945, 1005, 1055, 2877, 3329, 2003, 2037, 2157, 3329, 1010, 2027, 2024, 2056, 2000, 4536, 1000, 27243, 1025, 1000, 2065, 1996, 7945, 1005, 1055, 2877, 3329, 2003, 2037, 2187, 3329, 1010, 2027, 2024, 2056, 2000, 4536, 1000, 3180, 1012, 1000, 2065, 1996, 7945, 2003, 5373, 3180, 2021, 15867, 2000, 4536, 27243, 1010, 2027, 2024, 2056, 2000, 2022, 5559, 1999, 1000, 6942, 1010, 1000, 1998, 3580, 18601, 1012, 1037, 18815, 2003, 4050, 2062, 6625, 6183, 2007, 2037, 2067, 3329, 1025, 10549, 2000, 5245, 2007, 1996, 2392, 3329, 2003, 4141, 3615, 2000, 2004, 5559, 1000, 12256, 3995, 1000, 1010, 1998, 2038, 4997, 9530, 17048, 10708, 1997, 2806, 1998, 12353, 1999, 1996, 17260, 21172, 2451, 1012, 2471, 2053, 2028, 4915, 2019, 25208, 2006, 2037, 2034, 3046, 1012, 23318, 2003, 1996, 2087, 2590, 2112, 1997, 4083, 2129, 2000, 25208, 1012, 2320, 2017, 4553, 2129, 2000, 2079, 2019, 25208, 1010, 2017, 2064, 3046, 2725, 2068, 2096, 5291, 1012, 4083, 2003, 2028, 1997, 1996, 4569, 5267, 2102, 3033, 1997, 17260, 21172, 1012, 2044, 2017, 4553, 25208, 2015, 1010, 2017, 2064, 2693, 3031, 8380, 2015, 1010, 3769, 14738, 1011, 2049, 1010, 1998, 11238, 2015, 1012, 2574, 1037, 2878, 2088, 1997, 12225, 2097, 2330, 2039, 1012, 2307, 2604, 1012, 2307, 2640, 8389, 1012, 1996, 7923, 5877, 2038, 1037, 2613, 3769, 2000, 2009, 2008, 3084, 2009, 2307, 2005, 12225, 1998, 1037, 12476, 4088, 3678, 2604, 1012, 2069, 3291, 2003, 2009, 1005, 1055, 3565, 4030, 1998, 5942, 1037, 2843, 1997, 2147, 2000, 5441, 3177, 2030, 2000, 4060, 2039, 3177, 2558, 1012, 1037, 3722, 1002, 2322, 5217, 19820, 2075, 12200, 2097, 8081, 2008, 1998, 8797, 3819, 2604, 1010, 3819, 5430, 2094, 1999, 5877, 1012, 2069, 1018, 3340, 2138, 1997, 1996, 3768, 1997, 3177, 1012, 1045, 9544, 2026, 7923, 3201, 2041, 1997, 1996, 3482, 2525, 3653, 1011, 9725, 1010, 2021, 2005, 1996, 3976, 1010, 2053, 2391, 1999, 17949, 1012, 2066, 2471, 2035, 2047, 7923, 1010, 1057, 2031, 2000, 19128, 19966, 1996, 7787, 1998, 1996, 23951, 1997, 1996, 2604, 2000, 7661, 4697, 2009, 2000, 2115, 16663, 1012, 2017, 2180, 1005, 1056, 9038, 2009, 1012, 2021, 2344, 2009, 2007, 2070, 1000, 5341, 1000, 2030, 1000, 2417, 21714, 1000, 1998, 2115, 2275, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2935, 1010, 2393, 2033, 5138, 2054, 1005, 1045, 3685, 5047, 1005, 2005, 2296, 2309, 2028, 1997, 2149, 1999, 2023, 2282, 1998, 2005, 2296, 2309, 2711, 2648, 2023, 2282, 1010, 2045, 2003, 2012, 2560, 2028, 2518, 1006, 1998, 3497, 2116, 2477, 1007, 2008, 2057, 2074, 3685, 5047, 1012, 3649, 2008, 2518, 2003, 1010, 2057, 2024, 1000, 8971, 1000, 2011, 2009, 2612, 1997, 1000, 8304, 1000, 2009, 1012, 2005, 2070, 1010, 2008, 2518, 2003, 2769, 1012, 2005, 2500, 1010, 2009, 2003, 4923, 1012, 2005, 2500, 1010, 2009, 2003, 2373, 1012, 2005, 2500, 1010, 2009, 2003, 2491, 1012, 2005, 2500, 1010, 2009, 2003, 6217, 1012, 2005, 2500, 1010, 2009, 2003, 5165, 1012, 2005, 3071, 1010, 2009, 2003, 3716, 1012, 2089, 1045, 3424, 6895, 17585, 1996, 3433, 1997, 2116, 2111, 1029, 1000, 2585, 1010, 2008, 2003, 7078, 9951, 999, 3716, 2003, 3937, 2000, 4598, 999, 3716, 2003, 3811, 11126, 1999, 2023, 3226, 999, 2057, 6148, 2000, 16957, 2035, 2256, 2336, 2138, 3716, 2003, 2590, 1012, 2057, 6911, 3716, 2006, 2256, 5841, 1998, 10922, 1012, 2057, 2130, 2031, 6331, 4280, 2138, 2057, 2215, 2336, 1998, 6001, 2000, 2031, 6331, 3716, 1012, 1000, 1045, 5791, 5993, 2008, 3716, 2003, 3937, 2000, 4598, 1012, 1045, 3305, 1996, 3643, 1997, 2019, 2495, 1012, 1045, 5382, 2129, 6827, 3716, 2003, 2006, 5841, 1998, 1999, 10922, 1012, 1045, 6135, 2203, 5668, 2063, 1996, 8463, 1997, 3716, 1999, 6224, 2000, 2022, 1037, 2643, 2135, 2711, 1012, 4952, 2000, 2033, 5362, 1012, 1045, 2106, 2025, 2360, 3716, 2001, 4895, 5714, 6442, 4630, 1012, 1045, 2056, 2111, 3685, 5047, 18840, 3716, 1012, 1996, 2087, 4895, 3995, 18718, 3471, 2169, 1997, 2149, 2031, 2024, 2580, 2011, 2054, 2057, 2113, 1012, 1045, 4119, 2017, 2000, 2228, 2055, 2008, 3606, 1012, 2043, 2024, 2017, 3928, 2135, 16312, 2000, 2514, 6020, 2000, 2619, 1029, 2003, 2009, 2025, 2043, 2017, 2113, 2242, 2027, 2079, 2025, 2113, 1029, 2043, 2024, 2017, 3928, 2135, 16312, 2000, 1000, 2298, 2091, 1000, 2006, 2178, 2711, 1029, 2003, 2009, 2025, 2043, 2017, 7634, 2068, 2000, 2022, 11757, 21591, 1029, 2062, 2084, 2769, 1010, 2062, 2084, 2373, 1010, 2062, 2084, 2491, 1010, 2062, 2084, 6217, 1010, 3716, 9005, 2019, 24416, 2008, 3084, 2969, 2502, 1998, 2590, 1998, 3084, 2500, 2235, 1998, 27018, 1012, 5136, 1037, 3563, 14614, 1012, 2035, 1045, 3198, 2017, 2000, 2079, 2003, 2022, 7481, 2007, 4426, 2004, 2017, 3437, 2000, 2017, 8601, 1012, 2079, 2017, 7714, 1000, 2298, 2091, 2006, 1000, 2116, 2111, 1999, 1996, 2690, 2264, 1029, 2065, 2017, 2079, 1010, 2339, 2079, 2017, 1029, 2156, 2065, 2151, 1997, 2122, 8635, 2614, 5220, 1012, 1000, 1045, 2079, 2025, 3305, 2129, 3087, 2071, 2022, 1037, 5920, 9472, 999, 1000, 1000, 1045, 2079, 2025, 3305, 2129, 2111, 2064, 5223, 2111, 2061, 20531, 2074, 2138, 1997, 2037, 10662, 1012, 1000, 1000, 1045, 2079, 2025, 3305, 2129, 2111, 2064, 2886, 14007, 2015, 1998, 4409, 2011, 6886, 6386, 999, 1000, 2017, 2079, 2025, 3305, 2216, 2477, 1029, 1000, 2053, 999, 1000, 2339, 2079, 2017, 2025, 3305, 2216, 2477, 1029, 1000, 3953, 2240, 1010, 2216, 2024, 5236, 4490, 999, 1000, 2052, 2017, 2079, 2151, 1997, 2216, 2477, 1029, 1000, 2053, 999, 1000, 2339, 1029, 1000, 1045, 2113, 2488, 999, 1000, 2061, 1010, 2054, 2017, 2113, 3084, 2017, 6020, 1029, 3531, 11839, 2007, 2033, 1024, 1000, 2643, 1010, 6570, 2149, 2129, 2000, 2031, 9273, 1998, 8072, 3561, 2007, 1996, 2293, 2008, 3310, 2013, 2017, 1012, 1999, 2256, 2293, 2005, 2017, 1998, 2500, 1010, 2196, 2292, 2149, 2224, 2256, 3716, 2000, 6033, 2216, 2005, 3183, 2017, 20268, 1996, 4441, 1012, 1000, 2119, 7988, 1998, 13725, 10279, 1996, 7117, 1997, 2035, 2256, 3167, 3471, 1998, 2035, 1996, 2088, 1005, 1055, 3471, 2000, 8438, 1005, 1055, 13720, 2000, 5047, 3716, 1012, 1996, 2034, 2338, 1999, 1996, 6331, 3084, 2048, 7782, 8170, 2015, 1012, 1996, 2034, 17232, 2001, 2241, 2006, 1996, 2529, 13720, 2000, 5047, 3716, 1012, 1996, 2034, 2552, 1997, 4763, 2001, 2241, 2006, 1996, 2529, 13720, 2000, 5047, 3716, 1012, 3191, 2007, 2033, 2013, 11046, 1017, 1024, 1015, 1011, 2184, 1012, 2085, 1996, 16517, 2001, 2062, 7477, 2100, 2084, 2151, 6841, 1997, 1996, 2492, 2029, 1996, 2935, 2643, 2018, 2081, 1012, 1998, 2002, 2056, 2000, 1996, 2450, 1010, 1000, 5262, 1010, 2038, 2643, 2056, 1010, 1005, 2017, 4618, 2025, 4521, 2013, 2151, 3392, 1997, 1996, 3871, 1005, 1029, 1000, 1996, 2450, 2056, 2000, 1996, 16517, 1010, 1000, 2013, 1996, 5909, 1997, 1996, 3628, 1997, 1996, 3871, 2057, 2089, 4521, 1025, 2021, 2013, 1996, 5909, 1997, 1996, 3392, 2029, 2003, 1999, 1996, 2690, 1997, 1996, 3871, 1010, 2643, 2038, 2056, 1010, 1005, 2017, 4618, 2025, 4521, 2013, 2009, 2030, 3543, 2009, 1010, 2030, 2017, 2097, 3280, 1012, 1005, 1000, 1996, 16517, 2056, 2000, 1996, 2450, 1010, 1000, 2017, 7543, 2097, 2025, 3280, 999, 2005, 2643, 4282, 2008, 1999, 1996, 2154, 2017, 4521, 2013, 2009, 2115, 2159, 2097, 2022, 2441, 1010, 1998, 2017, 2097, 2022, 2066, 2643, 1010, 4209, 2204, 1998, 4763, 1012, 1000, 2043, 1996, 2450, 2387, 2008, 1996, 3392, 2001, 2204, 2005, 2833, 1010, 1998, 2008, 2009, 2001, 1037, 12208, 2000, 1996, 2159, 1010, 1998, 2008, 1996, 3392, 2001, 16166, 2000, 2191, 2028, 7968, 1010, 2016, 2165, 2013, 2049, 5909, 1998, 8823, 1025, 1998, 2016, 2435, 2036, 2000, 2014, 3129, 2007, 2014, 1010, 1998, 2002, 8823, 1012, 2059, 1996, 2159, 1997, 2119, 1997, 2068, 2020, 2441, 1010, 1998, 2027, 2354, 2008, 2027, 2020, 6248, 1025, 1998, 2027, 7367, 15557, 20965, 3727, 2362, 1998, 2081, 3209, 8840, 2378, 5266, 2015, 1012, 2027, 2657, 1996, 2614, 1997, 1996, 2935, 2643, 3788, 1999, 1996, 3871, 1999, 1996, 4658, 1997, 1996, 2154, 1010, 1998, 1996, 2158, 1998, 2010, 2564, 11041, 3209, 2013, 1996, 3739, 1997, 1996, 2935, 2643, 2426, 1996, 3628, 1997, 1996, 3871, 1012, 2059, 1996, 2935, 2643, 2170, 2000, 1996, 2158, 1010, 1998, 2056, 2000, 2032, 1010, 1000, 2073, 2024, 2017, 1029, 1000, 2002, 2056, 1010, 1000, 1045, 2657, 1996, 2614, 1997, 2017, 1999, 1996, 3871, 1010, 1998, 1045, 2001, 4452, 2138, 1045, 2001, 6248, 1025, 2061, 1045, 11041, 2870, 1012, 1000, 2057, 2071, 5247, 1037, 2843, 1997, 2051, 7995, 2006, 3331, 12971, 1998, 5983, 1037, 5909, 2008, 3640, 3716, 1011, 1011, 2021, 2065, 2057, 2106, 1010, 1045, 3571, 2057, 2052, 3335, 1996, 8220, 1012, 1000, 2054, 8220, 1029, 1000, 1999, 5688, 2000, 2643, 1010, 8438, 2038, 2196, 2042, 2583, 2000, 1000, 5047, 1000, 1996, 3716, 1997, 4763, 1012, 1999, 5688, 2000, 2643, 1010, 1996, 3716, 1997, 4763, 11703, 7416, 6961, 2149, 1011, 1011, 2025, 2643, 1010, 2021, 2149, 1012, 1999, 5688, 2000, 2643, 1010, 1996, 3716, 1997, 4763, 8915, 27718, 2015, 2149, 1011, 1011, 2025, 2643, 1010, 2021, 2149, 1012, 2643, 2064, 5047, 1996, 3716, 1997, 4763, 2138, 2002, 3685, 2022, 11703, 7416, 7178, 1006, 16122, 10772, 2015, 1020, 1024, 1021, 1007, 2030, 16312, 1006, 2508, 1015, 1024, 2410, 1007, 1012, 2077, 8438, 2018, 1996, 3716, 1997, 4763, 1010, 2045, 2020, 2070, 3937, 3471, 2057, 2106, 2025, 2031, 1012, 2009, 2001, 1996, 3716, 1997, 4763, 2008, 2550, 9467, 1012, 2009, 2001, 1996, 3716, 1997, 4763, 2008, 2550, 1037, 3168, 1997, 8056, 1012, 2009, 2001, 1996, 3716, 1997, 4763, 2008, 2550, 3571, 1012, 2129, 2367, 2052, 2115, 2166, 2022, 2065, 2017, 2196, 2371, 9467, 1010, 2196, 2354, 8056, 1010, 1998, 2020, 2196, 4452, 1029, 2498, 2204, 4504, 2013, 1996, 2529, 3716, 1997, 4763, 1012, 2339, 1029, 2057, 2071, 2025, 5047, 4209, 2054, 4763, 2001, 999, 4763, 11703, 7416, 6961, 1025, 2643, 2515, 2025, 1025, 1998, 2057, 2024, 3733, 8336, 2005, 8066, 3993, 17575, 999, 1996, 3284, 2433, 1997, 17575, 2003, 2019, 13449, 1012, 1045, 2572, 4092, 1997, 2151, 2433, 1997, 13449, 1024, 2000, 6544, 1010, 2000, 5850, 1010, 2000, 3348, 1010, 2000, 2373, 1010, 2000, 2769, 1010, 2000, 2491, 1010, 2000, 5165, 1012, 2593, 2019, 26855, 23439, 2019, 13449, 1010, 2030, 2019, 26855, 10824, 2015, 2370, 2030, 2841, 2000, 2019, 13449, 1012, 10468, 2019, 13449, 2003, 2151, 2433, 1997, 15615, 4019, 1011, 1011, 1996, 3535, 2000, 10574, 2738, 2084, 2227, 2030, 18094, 1012, 1996, 26855, 2411, 4150, 1037, 3928, 8175, 2005, 2010, 2030, 2014, 13449, 1012, 2002, 2030, 2016, 2411, 2515, 2061, 2007, 1996, 2616, 1010, 1000, 2065, 2017, 2069, 2354, 1012, 1012, 1012, 1000, 2065, 2004, 1037, 3017, 2017, 2428, 4797, 1996, 2755, 2008, 4286, 3685, 5047, 3716, 1010, 1045, 3198, 2017, 2000, 5136, 1037, 3232, 1997, 8635, 1012, 1999, 1015, 2522, 6657, 15222, 6962, 2410, 1010, 2703, 6936, 1996, 2087, 2590, 1998, 16762, 11647, 1997, 2529, 4598, 1012, 2002, 2315, 2093, 1024, 4752, 1010, 3246, 1010, 1998, 2293, 1012, 2002, 4161, 2008, 1996, 4602, 1997, 1996, 2093, 2003, 2293, 1010, 2029, 2002, 6936, 1999, 6987, 1012, 2052, 2017, 3531, 3602, 2008, 3716, 2001, 2025, 2028, 1997, 1996, 2093, 1012, 3531, 3191, 2007, 2033, 2004, 2057, 2298, 2012, 1015, 2522, 6657, 15222, 6962, 1022, 1024, 1015, 1011, 2410, 1012, 2085, 7175, 2477, 20268, 2000, 24438, 1010, 2057, 2113, 2008, 2057, 2035, 2031, 3716, 1012, 3716, 3084, 15818, 1010, 2021, 2293, 3968, 14144, 1012, 2065, 3087, 6814, 2015, 2008, 2002, 4282, 2505, 1010, 2002, 2038, 2025, 2664, 2124, 2004, 2002, 11276, 2000, 2113, 1025, 2021, 2065, 3087, 7459, 2643, 1010, 2002, 2003, 2124, 2011, 2032, 1012, 3568, 7175, 1996, 5983, 1997, 2477, 20268, 2000, 24438, 1010, 2057, 2113, 2008, 2045, 2003, 2053, 2107, 2518, 2004, 2019, 10282, 1999, 1996, 2088, 1010, 1998, 2008, 2045, 2003, 2053, 2643, 2021, 2028, 1012, 2005, 2130, 2065, 2045, 2024, 2061, 1011, 2170, 5932, 3251, 1999, 6014, 2030, 2006, 3011, 1010, 2004, 5262, 2045, 2024, 2116, 5932, 1998, 2116, 8140, 1010, 2664, 2005, 2149, 2045, 2003, 2021, 2028, 2643, 1010, 1996, 2269, 1010, 2013, 3183, 2024, 2035, 2477, 1998, 2057, 4839, 2005, 2032, 1025, 1998, 2028, 2935, 1010, 4441, 4828, 1010, 2011, 3183, 2024, 2035, 2477, 1010, 1998, 2057, 4839, 2083, 2032, 1012, 2174, 2025, 2035, 2273, 2031, 2023, 3716, 1025, 2021, 2070, 1010, 2108, 17730, 2000, 1996, 10282, 2127, 2085, 1010, 4521, 2833, 2004, 2065, 2009, 2020, 20268, 2000, 2019, 10282, 1025, 1998, 2037, 13454, 2108, 5410, 2003, 13366, 18450, 1012, 2021, 2833, 2097, 2025, 4012, 3549, 2094, 2149, 2000, 2643, 1025, 2057, 2024, 4445, 1996, 4788, 2065, 2057, 2079, 2025, 4521, 1010, 4496, 1996, 2488, 2065, 2057, 2079, 4521, 1012, 2021, 2202, 2729, 2008, 2023, 7044, 1997, 6737, 2515, 2025, 5064, 2468, 1037, 19730, 3796, 2000, 1996, 5410, 1012, 2005, 2065, 2619, 5927, 2017, 1010, 2040, 2031, 3716, 1010, 7759, 1999, 2019, 10282, 1005, 1055, 3379, 1010, 2097, 2025, 2010, 13454, 1010, 2065, 2002, 2003, 5410, 1010, 2022, 13949, 2000, 4521, 2477, 20268, 2000, 24438, 1029, 2005, 2083, 2115, 3716, 2002, 2040, 2003, 5410, 2003, 9868, 1010, 1996, 2567, 2005, 3005, 8739, 4828, 2351, 1012, 1998, 2061, 1010, 2011, 26403, 2075, 2114, 1996, 17937, 1998, 27285, 2037, 13454, 2043, 2009, 2003, 5410, 1010, 2017, 8254, 2114, 4828, 1012, 3568, 1010, 2065, 2833, 5320, 2026, 2567, 2000, 21811, 1010, 1045, 2097, 2196, 4521, 6240, 2153, 1010, 2061, 2008, 1045, 2097, 2025, 3426, 2026, 2567, 2000, 21811, 1012, 2005, 2149, 1010, 2498, 2003, 2062, 2304, 1998, 2317, 2084, 10282, 4017, 2854, 1011, 1011, 2045, 2003, 2069, 2028, 2643, 2030, 2045, 2003, 2025, 1010, 1998, 2045, 2024, 2053, 2065, 2015, 1010, 1998, 2015, 1010, 2030, 2021, 2015, 2055, 2009, 1012, 2216, 2040, 2018, 3716, 1998, 2020, 3243, 6149, 1999, 2037, 3716, 2354, 2045, 2001, 2069, 2028, 2643, 1012, 2027, 2354, 2008, 2019, 10282, 2106, 2025, 5050, 2019, 4493, 1010, 2542, 2643, 1010, 1998, 2027, 2020, 6149, 1999, 2037, 3716, 1012, 2027, 2354, 2008, 1037, 8688, 3253, 2000, 2019, 10282, 2001, 3253, 2000, 2498, 1010, 1998, 2027, 2020, 6149, 1999, 2037, 3716, 1012, 1998, 2703, 2056, 2008, 6149, 3716, 2001, 1996, 3192, 1997, 24416, 1012, 3716, 2001, 1996, 3192, 1997, 24416, 1012, 2293, 2328, 2111, 2039, 1012, 2703, 2056, 2065, 2017, 2024, 2183, 2000, 2113, 2242, 1010, 2113, 1996, 5197, 1997, 2293, 1012, 2059, 2703, 2056, 2242, 2842, 2008, 2001, 2087, 4326, 2000, 1996, 2111, 2000, 3183, 2002, 2626, 1998, 2003, 11757, 4326, 2000, 2149, 1012, 2025, 2296, 3017, 4282, 2045, 2003, 2074, 2028, 2643, 1998, 24438, 2024, 2498, 1012, 2070, 8135, 2113, 2008, 1010, 2021, 2035, 8135, 2079, 2025, 2113, 2008, 1012, 2061, 2703, 2056, 2008, 2002, 2052, 2025, 6357, 2037, 13454, 2015, 2011, 5983, 1037, 2833, 2445, 1999, 8688, 2000, 1037, 3904, 9048, 16173, 2102, 2643, 1012, 1000, 2339, 1010, 2703, 1029, 2065, 2017, 2031, 6149, 3716, 1998, 2027, 2024, 1996, 5694, 1997, 18173, 1010, 2339, 2052, 2017, 2292, 2037, 18173, 2491, 2115 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10818, 18384, 1015, 1012, 1014, 2497, 999, 10818, 18384, 1015, 1012, 1014, 2497, 999, 7632, 2862, 999, 2061, 21091, 8389, 3116, 2297, 2003, 7552, 1010, 1998, 2005, 1996, 2034, 2051, 2045, 2001, 1037, 10818, 18384, 9722, 3116, 1024, 1011, 1007, 6990, 1998, 1045, 4354, 1037, 8395, 1013, 20578, 8988, 2239, 7483, 1010, 2029, 4504, 1999, 1037, 8966, 2282, 1997, 23307, 2015, 2725, 3376, 2047, 4973, 2005, 10502, 1999, 10818, 18384, 1012, 2009, 2001, 2036, 1037, 2307, 2617, 2000, 2156, 6990, 1005, 1055, 10990, 2147, 1999, 1996, 2444, 3597, 4667, 3589, 1010, 1998, 2131, 2070, 9062, 12247, 2013, 2613, 1011, 2088, 8192, 1006, 1056, 2213, 1007, 1012, 2044, 10537, 2279, 5829, 1010, 2057, 2787, 2009, 2001, 2092, 2051, 2000, 3582, 10710, 15782, 5051, 1005, 1055, 2742, 1998, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 17306, 2361, 1010, 2144, 1014, 1012, 1060, 9352, 16636, 1037, 2110, 1997, 2512, 1011, 16736, 1012, 10818, 18384, 2038, 2042, 10843, 5301, 2005, 1021, 2086, 1006, 3398, 999, 1007, 1010, 1998, 2057, 2787, 2000, 4536, 1996, 2695, 1011, 8395, 8277, 1998, 2693, 2477, 2830, 1012, 2070, 2047, 2477, 2182, 1024, 1008, 2047, 21025, 2705, 12083, 4354, 4037, 1025, 6032, 1997, 1996, 3025, 2609, 2001, 10654, 4842, 2075, 4073, 2000, 2191, 2009, 2488, 1010, 2061, 2057, 2074, 2128, 27927, 2098, 2009, 2006, 21025, 2705, 12083, 1005, 1055, 4132, 1012, 1008, 2062, 4973, 999, 1008, 2235, 1998, 2025, 2061, 2235, 8081, 2229, 1012, 2156, 1996, 10797, 2862, 2005, 1996, 3532, 1011, 2158, 1005, 1055, 2689, 21197, 1012, 1008, 1996, 27311, 9986, 2015, 2024, 2108, 5301, 1998, 2057, 1005, 2222, 11504, 2031, 2204, 2739, 1999, 1996, 2279, 2261, 3134, 2004, 1045, 6254, 2054, 1005, 1055, 2025, 2664, 2045, 1012, 2061, 2748, 1010, 10818, 18384, 2003, 4142, 1998, 2092, 1024, 1011, 1007, 2292, 2149, 2113, 2065, 2017, 2031, 2151, 3277, 2017, 2228, 2323, 2022, 2246, 2012, 2077, 2057, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 1009, 8874, 1012, 2128, 1024, 10818, 18384, 1015, 1012, 1014, 2497, 999, 1028, 7632, 2862, 999, 1028, 1028, 2061, 21091, 8389, 3116, 2297, 2003, 7552, 1010, 1998, 2005, 1996, 2034, 2051, 2045, 1028, 2001, 1037, 10818, 18384, 9722, 3116, 1024, 1011, 1007, 1028, 1028, 6990, 1998, 1045, 4354, 1037, 8395, 1013, 20578, 8988, 2239, 7483, 1010, 2029, 4504, 1999, 1037, 1028, 8966, 2282, 1997, 23307, 2015, 2725, 3376, 2047, 4973, 2005, 10502, 1999, 1028, 10818, 18384, 1012, 2009, 2001, 2036, 1037, 2307, 2617, 2000, 2156, 6990, 1005, 1055, 10990, 2147, 1999, 1996, 1028, 2444, 3597, 4667, 3589, 1010, 1998, 2131, 2070, 9062, 12247, 2013, 2613, 1011, 2088, 8192, 1006, 1056, 2213, 1007, 1012, 1028, 1028, 2044, 10537, 2279, 5829, 1010, 2057, 2787, 2009, 2001, 2092, 2051, 2000, 3582, 1028, 10710, 15782, 5051, 1005, 1055, 2742, 1998, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 17306, 2361, 1010, 2144, 1014, 1012, 1060, 9352, 1028, 16636, 1037, 2110, 1997, 2512, 1011, 16736, 1012, 10818, 18384, 2038, 2042, 10843, 5301, 1028, 2005, 1021, 2086, 1006, 3398, 999, 1007, 1010, 1998, 2057, 2787, 2000, 4536, 1996, 2695, 1011, 8395, 8277, 1028, 1998, 2693, 2477, 2830, 1012, 1028, 1028, 2070, 2047, 2477, 2182, 1024, 1028, 1028, 1008, 2047, 21025, 2705, 12083, 4354, 4037, 1025, 6032, 1997, 1996, 3025, 2609, 2001, 1028, 10654, 4842, 2075, 4073, 2000, 2191, 2009, 2488, 1010, 2061, 2057, 2074, 2128, 27927, 2098, 2009, 2006, 21025, 2705, 12083, 1005, 1055, 1028, 4132, 1012, 1028, 1028, 1008, 2062, 4973, 999, 1028, 1028, 1008, 2235, 1998, 2025, 2061, 2235, 8081, 2229, 1012, 2156, 1996, 10797, 2862, 2005, 1996, 3532, 1011, 2158, 1005, 1055, 1028, 2689, 21197, 1012, 1028, 1028, 1008, 1996, 27311, 9986, 2015, 2024, 2108, 5301, 1998, 2057, 1005, 2222, 11504, 2031, 2204, 2739, 1028, 1999, 1996, 2279, 2261, 3134, 2004, 1045, 6254, 2054, 1005, 1055, 2025, 2664, 2045, 1012, 1028, 1028, 2061, 2748, 1010, 10818, 18384, 2003, 4142, 1998, 2092, 1024, 1011, 1007, 2292, 2149, 2113, 2065, 2017, 2031, 2151, 3277, 1028, 2017, 2228, 2323, 2022, 2246, 2012, 2077, 2057, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 1009, 1028, 8874, 1012, 1028, 1028, 21250, 1010, 1028, 1024, 1054, 1028, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1028, 10818, 18384, 1011, 16475, 2884, 5653, 2075, 2862, 1028, 1031, 5023, 10373, 1033, 1028, 8299, 1024, 1013, 1013, 7201, 1012, 9543, 5484, 4580, 1012, 5658, 1013, 2862, 2378, 14876, 1012, 1039, 5856, 1013, 10818, 18384, 1011, 16475, 2884, 1011, 9543, 5484, 4580, 1012, 5658, 1028, 2005, 2023, 1010, 2017, 2052, 2069, 2342, 2000, 2693, 1996, 1005, 1043, 2232, 1011, 5530, 1005, 3589, 2013, 1996, 1005, 10818, 18384, 1005, 2315, 16360, 2080, 2000, 1037, 1005, 10818, 18384, 1012, 21025, 2705, 12083, 1012, 22834, 1005, 2315, 16360, 2080, 1012, 2023, 2052, 2672, 2036, 21934, 28250, 14409, 2000, 1996, 4037, 1998, 3584, 2009, 2013, 1996, 2364, 10818, 18384, 16475, 1012, 1028, 7632, 2862, 999, 1028, 1028, 2061, 21091, 8389, 3116, 2297, 2003, 7552, 1010, 1998, 2005, 1996, 2034, 2051, 2045, 1028, 2001, 1037, 10818, 18384, 9722, 3116, 1024, 1011, 1007, 1028, 1028, 6990, 1998, 1045, 4354, 1037, 8395, 1013, 20578, 8988, 2239, 7483, 1010, 2029, 4504, 1999, 1037, 1028, 8966, 2282, 1997, 23307, 2015, 2725, 3376, 2047, 4973, 2005, 10502, 1999, 1028, 10818, 18384, 1012, 2009, 2001, 2036, 1037, 2307, 2617, 2000, 2156, 6990, 1005, 1055, 10990, 2147, 1999, 1996, 1028, 2444, 3597, 4667, 3589, 1010, 1998, 2131, 2070, 9062, 12247, 2013, 2613, 1011, 2088, 8192, 1006, 1056, 2213, 1007, 1012, 1028, 1028, 2044, 10537, 2279, 5829, 1010, 2057, 2787, 2009, 2001, 2092, 2051, 2000, 3582, 1028, 10710, 15782, 5051, 1005, 1055, 2742, 1998, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 17306, 2361, 1010, 2144, 1014, 1012, 1060, 9352, 1028, 16636, 1037, 2110, 1997, 2512, 1011, 16736, 1012, 10818, 18384, 2038, 2042, 10843, 5301, 1028, 2005, 1021, 2086, 1006, 3398, 999, 1007, 1010, 1998, 2057, 2787, 2000, 4536, 1996, 2695, 1011, 8395, 8277, 1028, 1998, 2693, 2477, 2830, 1012, 1028, 1028, 2070, 2047, 2477, 2182, 1024, 1028, 1028, 1008, 2047, 21025, 2705, 12083, 4354, 4037, 1025, 6032, 1997, 1996, 3025, 2609, 2001, 1028, 10654, 4842, 2075, 4073, 2000, 2191, 2009, 2488, 1010, 2061, 2057, 2074, 2128, 27927, 2098, 2009, 2006, 21025, 2705, 12083, 1005, 1055, 1028, 4132, 1012, 1028, 1028, 1008, 2062, 4973, 999, 1028, 1028, 1008, 2235, 1998, 2025, 2061, 2235, 8081, 2229, 1012, 2156, 1996, 10797, 2862, 2005, 1996, 3532, 1011, 2158, 1005, 1055, 1028, 2689, 21197, 1012, 1028, 1028, 1008, 1996, 27311, 9986, 2015, 2024, 2108, 5301, 1998, 2057, 1005, 2222, 11504, 2031, 2204, 2739, 1028, 1999, 1996, 2279, 2261, 3134, 2004, 1045, 6254, 2054, 1005, 1055, 2025, 2664, 2045, 1012, 1028, 1028, 2061, 2748, 1010, 10818, 18384, 2003, 4142, 1998, 2092, 1024, 1011, 1007, 2292, 2149, 2113, 2065, 2017, 2031, 2151, 3277, 1028, 2017, 2228, 2323, 2022, 2246, 2012, 2077, 2057, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 1009, 1028, 8874, 1012, 1028, 1028, 21250, 1010, 1028, 1024, 1054, 1028, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1028, 10818, 18384, 1011, 16475, 2884, 5653, 2075, 2862, 1028, 1031, 5023, 10373, 1033, 1028, 8299, 1024, 1013, 1013, 7201, 1012, 9543, 5484, 4580, 1012, 5658, 1013, 2862, 2378, 14876, 1012, 1039, 5856, 1013, 10818, 18384, 1011, 16475, 2884, 1011, 9543, 5484, 4580, 1012, 5658, 1028, 7632, 2862, 999, 1028, 1028, 2061, 21091, 8389, 3116, 2297, 2003, 7552, 1010, 1998, 2005, 1996, 2034, 2051, 2045, 1028, 2001, 1037, 10818, 18384, 9722, 3116, 1024, 1011, 1007, 1028, 1028, 6990, 1998, 1045, 4354, 1037, 8395, 1013, 20578, 8988, 2239, 7483, 1010, 2029, 4504, 1999, 1037, 1028, 8966, 2282, 1997, 23307, 2015, 2725, 3376, 2047, 4973, 2005, 10502, 1999, 1028, 10818, 18384, 1012, 2009, 2001, 2036, 1037, 2307, 2617, 2000, 2156, 6990, 1005, 1055, 10990, 2147, 1999, 1996, 1028, 2444, 3597, 4667, 3589, 1010, 1998, 2131, 2070, 9062, 12247, 2013, 2613, 1011, 2088, 8192, 1006, 1056, 2213, 1007, 1012, 1028, 1028, 2044, 10537, 2279, 5829, 1010, 2057, 2787, 2009, 2001, 2092, 2051, 2000, 3582, 1028, 10710, 15782, 5051, 1005, 1055, 2742, 1998, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 17306, 2361, 1010, 2144, 1014, 1012, 1060, 9352, 1028, 16636, 1037, 2110, 1997, 2512, 1011, 16736, 1012, 10818, 18384, 2038, 2042, 10843, 5301, 1028, 2005, 1021, 2086, 1006, 3398, 999, 1007, 1010, 1998, 2057, 2787, 2000, 4536, 1996, 2695, 1011, 8395, 8277, 1028, 1998, 2693, 2477, 2830, 1012, 1028, 1028, 2070, 2047, 2477, 2182, 1024, 1028, 1028, 1008, 2047, 21025, 2705, 12083, 4354, 4037, 1025, 6032, 1997, 1996, 3025, 2609, 2001, 1028, 10654, 4842, 2075, 4073, 2000, 2191, 2009, 2488, 1010, 2061, 2057, 2074, 2128, 27927, 2098, 2009, 2006, 21025, 2705, 12083, 1005, 1055, 1028, 4132, 1012, 1028, 1028, 1008, 2062, 4973, 999, 1028, 1028, 1008, 2235, 1998, 2025, 2061, 2235, 8081, 2229, 1012, 2156, 1996, 10797, 2862, 2005, 1996, 3532, 1011, 2158, 1005, 1055, 1028, 2689, 21197, 1012, 1028, 1028, 1008, 1996, 27311, 9986, 2015, 2024, 2108, 5301, 1998, 2057, 1005, 2222, 11504, 2031, 2204, 2739, 1028, 1999, 1996, 2279, 2261, 3134, 2004, 1045, 6254, 2054, 1005, 1055, 2025, 2664, 2045, 1012, 1028, 1028, 2061, 2748, 1010, 10818, 18384, 2003, 4142, 1998, 2092, 1024, 1011, 1007, 2292, 2149, 2113, 2065, 2017, 2031, 2151, 3277, 1028, 2017, 2228, 2323, 2022, 2246, 2012, 2077, 2057, 2693, 2000, 1037, 1015, 1012, 1014, 2713, 1009, 1028, 8874, 1012, 1028, 1028, 21250, 1010, 1028, 1024, 1054, 1028, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1028, 10818, 18384, 1011, 16475, 2884, 5653, 2075, 2862, 1028, 1031, 5023, 10373, 1033, 1028, 8299, 1024, 1013, 1013, 7201, 1012, 9543, 5484, 4580, 1012, 5658, 1013, 2862, 2378, 14876, 1012, 1039, 5856, 1013, 10818, 18384, 1011, 16475, 2884, 1011, 9543, 5484, 4580, 1012, 5658, 2128, 1024, 10818, 18384, 1015, 1012, 1014, 2497, 999, 4067, 2017, 2061, 2172, 2005, 1996, 3733, 7526, 1012, 1045, 2018, 2109, 1996, 8285, 1011, 13103, 1999, 21025, 2705, 12083, 2144, 1015, 1012, 1045, 4033, 1005, 1056, 2109, 21025, 2705, 12083, 5530, 2077, 1998, 1016, 1012, 2359, 2000, 2131, 2242, 2041, 2004, 2855, 2004, 2825, 1012, 2009, 1005, 1055, 2085, 2039, 1999, 1037, 3835, 2099, 24471, 2140, 1024, 1996, 2609, 2003, 2145, 5810, 16129, 1010, 2029, 2003, 2054, 21025, 2705, 12083, 19421, 1012, 1045, 2215, 2000, 2689, 2009, 2000, 5372, 15333, 4801, 3363, 2928, 7698, 2061, 2008, 2009, 1005, 1055, 6082, 2000, 10086, 1010, 2004, 2092, 2004, 7661, 9355, 1996, 4323, 1010, 2021, 2005, 2085, 1996, 2783, 2609, 2003, 2661, 3805, 1997, 1996, 2214, 10818, 18384, 1012, 5658, 1012, 1045, 2085, 19148, 2008, 3116, 2039, 2030, 2551, 1999, 5903, 3081, 20868, 2278, 2024, 2307, 3971, 2000, 2693, 2477, 2830, 1012, 6603, 2065, 2057, 2071, 5136, 2019, 3784, 20578, 8988, 2239, 1999, 1996, 2379, 2925, 1029, 3383, 2130, 5136, 1037, 3558, 3113, 6279, 1029, 1028, 7592, 13559, 1998, 10818, 18384, 2862, 1028, 1028, 26478, 8609, 2015, 2006, 1996, 8395, 7483, 1012, 2009, 2001, 12476, 1012, 1028, 1028, 1028, 1008, 2047, 21025, 2705, 12083, 4354, 4037, 1025, 6032, 1997, 1996, 3025, 2609, 2001, 1028, 1028, 10654, 4842, 2075, 4073, 2000, 2191, 2009, 2488, 1010, 2061, 2057, 2074, 2128, 27927, 2098, 2009, 2006, 21025, 2705, 12083, 1005, 1055, 1028, 1028, 4132, 1012, 1028, 1028, 2055, 1996, 2609, 1012, 2065, 1045, 2089, 6592, 1012, 1045, 2228, 1996, 1028, 8299, 1024, 1013, 1013, 10818, 18384, 1012, 21025, 2705, 12083, 1012, 22834, 1013, 10818, 18384, 1013, 2003, 1037, 2978, 2205, 2146, 1998, 2071, 2022, 1028, 11038, 2000, 8299, 1024, 1013, 1013, 10818, 18384, 1012, 21025, 2705, 12083, 1012, 22834, 1006, 2007, 2085, 5651, 24837, 1007, 1028, 1028, 2005, 2023, 1010, 2017, 2052, 2069, 2342, 2000, 2693, 1996, 1005, 1043, 2232, 1011, 5530, 1005, 3589, 2013, 1996, 1028, 1005, 10818, 18384, 1005, 2315, 16360, 2080, 2000, 1037, 1005, 10818, 18384, 1012, 21025, 2705, 12083, 1012, 22834, 1005, 2315, 16360, 2080, 1012, 2023, 2052, 1028, 2672, 2036, 21934, 28250 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 9385, 1006, 1039, 1007, 2286, 1011, 2297, 1010, 1050, 17258, 2401, 3840, 1012, 2035, 2916, 9235, 1012, 1008, 1008, 23772, 2595, 1011, 6105, 1011, 8909, 4765, 18095, 1024, 14246, 2140, 1011, 1016, 1012, 1014, 1009, 1008, 1013, 1001, 2421, 1026, 2691, 1012, 1044, 1028, 1001, 2421, 1026, 2004, 2213, 1013, 22834, 1012, 1044, 1028, 1001, 2421, 1026, 2004, 2213, 1013, 7905, 1013, 9231, 12274, 2595, 1012, 1044, 1028, 1001, 9375, 9231, 1006, 9231, 1010, 1042, 2692, 1010, 20069, 1010, 1042, 2475, 1010, 1042, 2509, 1007, 1032, 1063, 1032, 1012, 4569, 6169, 1027, 1063, 1032, 7610, 5602, 1035, 4569, 2278, 1035, 1001, 1001, 1042, 2692, 1010, 1032, 7610, 5602, 1035, 4569, 2278, 1035, 1001, 1001, 20069, 1010, 1032, 7610, 5602, 1035, 4569, 2278, 1035, 1001, 1001, 1042, 2475, 1010, 1032, 7610, 5602, 1035, 4569, 2278, 1035, 1001, 1001, 1042, 2509, 1010, 1032, 1065, 1010, 1032, 1065, 1001, 9375, 9231, 1035, 9235, 1063, 1065, 10763, 9530, 3367, 2358, 6820, 6593, 7610, 5602, 1035, 17852, 14536, 1035, 4078, 2278, 8915, 17643, 12521, 2549, 1035, 17852, 22107, 2015, 1031, 1033, 1027, 1063, 1013, 1008, 9231, 1010, 1042, 2692, 1010, 20069, 1010, 1042, 2475, 1010, 1042, 2509, 1008, 1013, 1013, 1008, 16396, 1014, 2595, 14142, 8889, 1008, 1013, 9231, 1006, 17359, 8197, 1035, 2951, 2692, 1035, 13433, 2487, 1010, 11867, 2072, 2509, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2951, 2487, 1035, 13433, 2475, 1010, 11867, 2072, 2509, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2951, 2475, 1035, 13433, 2509, 1010, 11867, 2072, 2509, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2951, 2509, 1035, 13433, 2549, 1010, 11867, 2072, 2509, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2951, 2549, 1035, 13433, 2629, 1010, 11867, 2072, 2475, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2951, 2629, 1035, 13433, 2575, 1010, 11867, 2072, 2475, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2951, 2575, 1035, 13433, 2581, 1010, 11867, 2072, 2475, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2951, 2581, 1035, 13433, 2692, 1010, 11867, 2072, 2475, 1010, 26236, 2072, 1010, 25423, 13320, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 18856, 2243, 1035, 1052, 2100, 2692, 1010, 11867, 2072, 2487, 1010, 11867, 2072, 2629, 1010, 25423, 5339, 2094, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 16101, 1035, 1052, 2100, 2487, 1010, 11867, 2072, 2487, 1010, 11867, 2072, 2629, 1010, 25423, 5339, 2094, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 1050, 18413, 1035, 1052, 2100, 2475, 1010, 11867, 2072, 2487, 1010, 11867, 2072, 2629, 1010, 25423, 5339, 2094, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 17359, 8197, 1035, 2358, 2361, 1035, 1052, 2100, 2509, 1010, 11867, 2072, 2487, 1010, 11867, 2072, 2629, 1010, 25423, 5339, 2094, 1010, 17359, 8197, 1007, 1010, 9231, 1006, 4830, 2361, 2509, 1035, 1042, 2015, 1035, 4903, 2692, 1010, 1045, 2475, 2015, 2475, 1010, 11867, 2072, 2629, 1010, 4653, 2050, 1010, 4653, 2497, 1007, 1010, 9231, 1006, 4830, 2361, 2509, 1035, 11586, 1035, 4903, 2487, 1010, 1045, 2475, 2015, 2475, 1010, 11867, 2072, 2629, 1010, 4653, 2050, 1010, 4653, 2497, 1007, 1010, 9231, 1006, 4830, 2361, 2509, 1035, 2079, 4904, 1035, 4903, 2475, 1010, 1045, 2475, 2015, 2475, 1010, 11867, 2072, 2629, 1010, 4653, 2050, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 4830, 2361, 2509, 1035, 8040, 13687, 1035, 4903, 2509, 1010, 1045, 2475, 2015, 2475, 1010, 11867, 2072, 2629, 1010, 12667, 16872, 2509, 1010, 4653, 2497, 1007, 1010, 9231, 1006, 26189, 2692, 1010, 12667, 16872, 2487, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 26189, 2487, 1010, 12667, 16872, 2487, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 17371, 7382, 2278, 2487, 1035, 18856, 2243, 1035, 1052, 2480, 2692, 1010, 17371, 7382, 2278, 2487, 1010, 18856, 2243, 12521, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 17371, 7382, 2278, 2487, 1035, 4642, 2094, 1035, 1052, 2480, 2487, 1010, 17371, 7382, 2278, 2487, 1010, 23772, 10128, 1010, 11867, 2072, 2549, 1010, 25423, 13320, 1007, 1010, 9231, 1006, 17371, 7382, 2278, 2487, 1035, 23755, 2509, 1035, 1052, 2100, 2549, 1010, 17371, 7382, 2278, 2487, 1010, 23772, 10128, 1010, 11867, 2072, 2549, 1010, 25423, 13320, 1007, 1010, 9231, 1006, 17371, 7382, 2278, 2487, 1035, 23755, 2475, 1035, 1052, 2100, 2629, 1010, 17371, 7382, 2278, 2487, 1010, 1052, 2860, 2213, 2692, 1010, 11867, 2072, 2549, 1010, 25423, 13320, 1007, 1010, 9231, 1006, 17371, 7382, 2278, 2487, 1035, 23755, 2487, 1035, 1052, 2100, 2575, 1010, 17371, 7382, 2278, 2487, 1010, 1052, 2860, 2213, 2487, 1010, 11867, 2072, 2549, 1010, 25423, 13320, 1007, 1010, 9231, 1006, 17371, 7382, 2278, 2487, 1035, 23755, 2692, 1035, 1052, 2100, 2581, 1010, 17371, 7382, 2278, 2487, 1010, 12667, 16872, 2475, 1010, 11867, 2072, 2549, 1010, 25423, 13320, 1007, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 1013, 1008, 16396, 1014, 2595, 14142, 2575, 2620, 1008, 1013, 9231, 1006, 18856, 2243, 2475, 1035, 2041, 1035, 1052, 2860, 2629, 1010, 4654, 25856, 11124, 8458, 2475, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 18856, 2243, 2475, 1035, 2128, 4160, 1035, 7473, 2278, 2629, 1010, 4830, 2361, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 1013, 1008, 16396, 1014, 2595, 21486, 10790, 1008, 1013, 9231, 1006, 10751, 4328, 1035, 20014, 1035, 1052, 2078, 2581, 1010, 12667, 16872, 2487, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 20315, 2278, 1035, 8040, 2140, 1035, 26189, 2549, 1010, 1045, 2475, 2278, 2549, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 20315, 2278, 1035, 17371, 2050, 1035, 26189, 2629, 1010, 1045, 2475, 2278, 2549, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 9231, 1035, 9235, 1010, 1013, 1008, 16396, 1014, 2595, 21486, 21084, 1008, 1013, 9231, 1006, 25423, 5339, 2475, 1035, 1054, 2595, 2094, 1035, 7473, 2509, 1010, 20868, 2850, 1010, 23772, 10128, 1010, 25423, 13320, 1010, 11867, 2072, 2549, 1007, 1010, 9231, 1006, 25423, 5339, 2475, 1035, 19067, 2094, 1035, 7473, 2475, 1010, 20868, 2850, 1010, 23772, 10128, 1010, 25423, 13320, 1010, 11867, 2072, 2549, 1007, 1010, 9231, 1006, 25423, 5339, 2475, 1035, 19387, 2015, 1035, 1050, 1035, 1052, 3501, 2575, 1010, 25423, 13320, 1010, 25423, 5339, 2497, 1010, 13938, 2072, 1010, 11867, 2072, 2549, 1007, 1010, 9231, 1006, 25423, 5339, 2475, 1035, 14931, 2015, 1035, 1050, 1035, 1052, 3501, 2629, 1010, 25423, 13320, 1010, 25423, 5339, 2497, 1010, 13938, 2072, 1010, 11867, 2072, 2549, 1007, 1010, 9231, 1006, 25423, 5339, 2509, 1035, 19067, 2094, 1035, 1052, 2860, 2575, 1010, 25423, 5339, 2278, 1010, 12667, 16872, 2475, 1010, 13938, 2072, 1010, 11867, 2072, 2549, 1007, 1010, 9231, 1006, 25423, 5339, 2509, 1035, 1054, 2595, 2094, 1035, 1052, 2860, 2581, 1010, 25423, 5339, 2278, 1010, 12667, 16872, 2475, 1010, 13938, 2072, 1010, 11867, 2072, 2549, 1007, 1010, 9231, 1006, 25423, 5339, 2509, 1035, 14931, 2015, 1035, 1050, 1035, 6643, 2487, 1010, 25423, 5339, 2278, 1010, 17371, 7382, 2278, 2487, 1010, 26718, 2615, 1010, 13938, 2072, 1007, 1010, 9231, 1006, 25423, 5339, 2509, 1035, 19387, 2015, 1035, 1050, 1035, 7473, 2692, 1010, 25423, 5339, 2278, 1010, 1052, 2860, 2213, 2692, 1010, 26718, 2615, 1010, 13938, 2072, 1007, 1010, 9231, 1006, 16405, 2692, 1010, 27593, 2099, 1010, 25423, 13320, 1010, 13938, 2072, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 16405, 2487, 1010, 12667, 16872, 2487, 1010, 25423, 13320, 1010, 13938, 2072, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 16405, 2475, 1010, 12667, 16872, 2487, 1010, 25423, 13320, 1010, 13938, 2072, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 16405, 2509, 1010, 1052, 2860, 2213, 2692, 1010, 25423, 13320, 1010, 13938, 2072, 1010, 4653, 2497, 1007, 1010, 9231, 1006, 16405, 2549, 1010, 1052, 2860, 2213, 2487, 1010, 25423, 13320, 1010, 13938, 2072, 1010, 4653, 2497, 1007, 1010, 9231, 1006, 16405, 2629, 1010, 1052, 2860, 2213, 2475, 1010, 25423, 13320, 1010, 13938, 2072, 1010, 4653, 2497, 1007, 1010, 9231, 1006, 16405, 2575, 1010, 1052, 2860, 2213, 2509, 1010, 25423, 13320, 1010, 12667, 16872, 2509, 1010, 13938, 2072, 1007, 1010, 9231, 1006, 8991, 2487, 1035, 1045, 2475, 2278, 1035, 17371, 2050, 1035, 7473, 2629, 1010, 1045, 2475, 2278, 2487, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 8991, 2487, 1035, 1045, 2475, 2278, 1035, 8040, 2140, 1035, 7473, 2549, 1010, 1045, 2475, 2278, 2487, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 4830, 2361, 2549, 1035, 1042, 2015, 1035, 4903, 2549, 1010, 1045, 2475, 2015, 2509, 1010, 13938, 2072, 1010, 26718, 2615, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 4830, 2361, 2549, 1035, 11586, 1035, 4903, 2629, 1010, 1045, 2475, 2015, 2509, 1010, 13938, 2072, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 4830, 2361, 2549, 1035, 2079, 4904, 1035, 4903, 2575, 1010, 1045, 2475, 2015, 2509, 1010, 13938, 2072, 1010, 26718, 2615, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 4830, 2361, 2549, 1035, 8040, 13687, 1035, 4903, 2581, 1010, 1045, 2475, 2015, 2509, 1010, 13938, 2072, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 18856, 2243, 2509, 1035, 2041, 1035, 21392, 2692, 1010, 4654, 25856, 11124, 8458, 2509, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 18856, 2243, 2509, 1035, 2128, 4160, 1035, 21392, 2487, 1010, 16475, 2509, 1010, 12667, 16872, 2475, 1010, 12667, 16872, 2509, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 7473, 2581, 1010, 12667, 16872, 2487, 1010, 12667, 16872, 2475, 1010, 13938, 2072, 1010, 13938, 2072, 1035, 12456, 1007, 1010, 9231, 1006, 14255, 2629, 1010, 17371, 7382, 2278, 2475, 1010, 12667, 16872, 2475, 1010, 13938, 2072, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 14255, 2581, 1010, 12667, 16872, 2487, 1010, 7637, 1010, 13938, 2072, 1010, 26718, 2615, 1007, 1010, 9231, 1006, 1052, 2243, 2692, 1010, 12667, 16872, 2487, 1010, 17371, 7382, 2278, 2509, 1010, 13938, 2072, 1010, 27084, 1007, 1010, 9231, 1006, 1052, 2243, 2487, 1010, 17371, 7382, 2278, 2475, 1010, 7637, 1010, 13938, 2072, 1010, 12667, 16872, 2549, 1007, 1010, 9231, 1006, 1052, 3501, 2692, 1010, 12667, 16872, 2487, 1010, 12667, 16872, 2475, 1010, 13938, 2072, 1010, 18833, 1007, 1010, 9231, 1006, 1052, 3501, 2475, 1010, 12667, 16872, 2487, 1010, 12667, 16872, 2475, 1010, 13938, 2072, 1010, 27084, 1007, 1010, 9231, 1006, 1052, 2243, 2509, 1010, 17371, 7382, 2278, 2475, 1010, 7637, 1010, 13938, 2072, 1010, 10507, 2721, 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, 11091, 17212, 1024, 5585, 16703, 2620, 24594, 3247, 3058, 1024, 2340, 1013, 2570, 1013, 5585, 8756, 3058, 1024, 2260, 1013, 5890, 1013, 5585, 8946, 3388, 2053, 1012, 5818, 1011, 2410, 5986, 2581, 1007, 3058, 1007, 1007, 2006, 5574, 2013, 1996, 2533, 1997, 8244, 3821, 3164, 2436, 1999, 2317, 2314, 5098, 1010, 8839, 1996, 3277, 4372, 3775, 24007, 2000, 2326, 4434, 2005, 2695, 1011, 19686, 6911, 8761, 1006, 19637, 2094, 1007, 1012, 6630, 10439, 24178, 3421, 2011, 1024, 5148, 8244, 1997, 2637, 7409, 2012, 4994, 2006, 5574, 10439, 24178, 4905, 2005, 1996, 2604, 1059, 1012, 1054, 1012, 26261, 6038, 1010, 5482, 9517, 4955, 1996, 8003, 2018, 3161, 2510, 2326, 2013, 2257, 3546, 2000, 2233, 3380, 1012, 2023, 5574, 18653, 2077, 1996, 2604, 1997, 8244, 1005, 9023, 1006, 2604, 1007, 2013, 1037, 2251, 2687, 5790, 3247, 1997, 1996, 2533, 1997, 8244, 3821, 1006, 12436, 1007, 3164, 2436, 1006, 20996, 1007, 1999, 2317, 2314, 5098, 1010, 8839, 1010, 2029, 6380, 1996, 8003, 1005, 1055, 4366, 6224, 4372, 3775, 24007, 2000, 2326, 4434, 2005, 2695, 1011, 19686, 6911, 8761, 1006, 19637, 2094, 1007, 1012, 2012, 1996, 8003, 1005, 1055, 2251, 2639, 4994, 1010, 2010, 4387, 13155, 2008, 1996, 8003, 2001, 2069, 6224, 4372, 3775, 24007, 2000, 2326, 4434, 2005, 19637, 2094, 1010, 1998, 2008, 2002, 2001, 2025, 6224, 2326, 4434, 2005, 2151, 2060, 13691, 8761, 1006, 3931, 2403, 1007, 1012, 9556, 1997, 2755, 1015, 1012, 2035, 7882, 3350, 4072, 2005, 2019, 1041, 28298, 22137, 1997, 1996, 8003, 1005, 1055, 5574, 2038, 2042, 4663, 2011, 1996, 20996, 1012, 1016, 1012, 1996, 8003, 1005, 1055, 2510, 2636, 2079, 2025, 5769, 8147, 1999, 4337, 2007, 1996, 4099, 2030, 3622, 4337, 6577, 1012, 1017, 1012, 1996, 8003, 1005, 1055, 6884, 6911, 5668, 2024, 2025, 2522, 18933, 12821, 4383, 2011, 23411, 3350, 1012, 15306, 1997, 2375, 19637, 2094, 2001, 2025, 22667, 1999, 2030, 25817, 2011, 1996, 8003, 1005, 1055, 3161, 2510, 2326, 1012, 4229, 1057, 1012, 1055, 1012, 1039, 1012, 1037, 1012, 1073, 1073, 11118, 2692, 1010, 23475, 2581, 1006, 1037, 1007, 1006, 2225, 2889, 1007, 1025, 4229, 1039, 1012, 1042, 1012, 1054, 1012, 1073, 1073, 1017, 1012, 19988, 1010, 1017, 1012, 23859, 1006, 2687, 1007, 1012, 4436, 1998, 7888, 2005, 9556, 1998, 15306, 4281, 2326, 2966, 2636, 2265, 2008, 1996, 8003, 2001, 11441, 1999, 2251, 3547, 2007, 21568, 6245, 1012, 2009, 2001, 3264, 2002, 2001, 1999, 1996, 4833, 4012, 2213, 24869, 1998, 2234, 1999, 5782, 2000, 2156, 1037, 2966, 2961, 2055, 3167, 3471, 1012, 2002, 2001, 4089, 25817, 2011, 10147, 12681, 2013, 2010, 12746, 1012, 1996, 8003, 2001, 24735, 1999, 2257, 3547, 2007, 11325, 3663, 2389, 4668, 1012, 1996, 8003, 12064, 3550, 2307, 20234, 2646, 2010, 12746, 2138, 2027, 2020, 12216, 2032, 2055, 2108, 3010, 1012, 2002, 2001, 2464, 1999, 2244, 3547, 2044, 2383, 7669, 2007, 2010, 12746, 1012, 2002, 2001, 2383, 22390, 5544, 2055, 4288, 2111, 1012, 2002, 2001, 2872, 2006, 15321, 16103, 2638, 1012, 1999, 2281, 3476, 1010, 1996, 8003, 2001, 11441, 2007, 2139, 27484, 4668, 1012, 1999, 2285, 3476, 1010, 1996, 8003, 2001, 11441, 2007, 4297, 11514, 11638, 23683, 1012, 1996, 3558, 9312, 2604, 6749, 2008, 1996, 8003, 2022, 14374, 2138, 1997, 4297, 11514, 11638, 23683, 1012, 2326, 5073, 2636, 2265, 2008, 1996, 8003, 2366, 1999, 5148, 2013, 2285, 2410, 1010, 3551, 2000, 2257, 1015, 1010, 3476, 1012, 1996, 8003, 2366, 1999, 1996, 4075, 2194, 1010, 4833, 4012, 2213, 1012, 4123, 2096, 1999, 5148, 1012, 1996, 8003, 1005, 1055, 3078, 5704, 2020, 26653, 3831, 7805, 1010, 1998, 6752, 2386, 1012, 1996, 8003, 2001, 14374, 2138, 1997, 1037, 3558, 11980, 1012, 1996, 8003, 7864, 4809, 1997, 4144, 2002, 2626, 2000, 2010, 2155, 1999, 2337, 1998, 2257, 3547, 1012, 1999, 1996, 3661, 2013, 2337, 3547, 1010, 1996, 8003, 3090, 2008, 2009, 2001, 24057, 1010, 2021, 2008, 2060, 2084, 2008, 1010, 2673, 2001, 10303, 1012, 2002, 2626, 2008, 2002, 2018, 2042, 2404, 1999, 1996, 4668, 5649, 4686, 1010, 1998, 2008, 2002, 2052, 2022, 2583, 2000, 3102, 2010, 2034, 18315, 1012, 1999, 1996, 3661, 2013, 2257, 3547, 1010, 1996, 8003, 3090, 2008, 2002, 2001, 1999, 1996, 2902, 1998, 2008, 2002, 2253, 2022, 22573, 8024, 1012, 1996, 8003, 3090, 2008, 2002, 2001, 1037, 6359, 1010, 1998, 3866, 2000, 3102, 1998, 2954, 1012, 1999, 1037, 3661, 6052, 2244, 3547, 1010, 1996, 8003, 1005, 1055, 3008, 15583, 1996, 15254, 1997, 1996, 3884, 3650, 2005, 2010, 16334, 3661, 2055, 2037, 2365, 1012, 1996, 8003, 2949, 1037, 19637, 2094, 3160, 20589, 1999, 2337, 2687, 1012, 2002, 2988, 6911, 5668, 1997, 25966, 1997, 2108, 2730, 2349, 2000, 5377, 2058, 1011, 2132, 7493, 1010, 2025, 4209, 2040, 1996, 4099, 2001, 1010, 5806, 2075, 2013, 4099, 1998, 7738, 1010, 5379, 2543, 1010, 6677, 1997, 1037, 16634, 1998, 2402, 2336, 3183, 2002, 2018, 23386, 1010, 16011, 2013, 2010, 2219, 2111, 1010, 2303, 8641, 1997, 2814, 1999, 9573, 3409, 1010, 4319, 1998, 6544, 2224, 2076, 3422, 1010, 2029, 2435, 2032, 1996, 3110, 1997, 16021, 8586, 25137, 1010, 17515, 2015, 2013, 2019, 18504, 1006, 1996, 8003, 20485, 2008, 2002, 2387, 2019, 18504, 2006, 2543, 1007, 1010, 1996, 5437, 1997, 2331, 1010, 2108, 8895, 2073, 2303, 8641, 2234, 1999, 1010, 1998, 3773, 3507, 3548, 6905, 3920, 3057, 1012, 4809, 1997, 12436, 2966, 2415, 3949, 2636, 2020, 7864, 2013, 2337, 2687, 1012, 1996, 8003, 2001, 24735, 2013, 2337, 1016, 1010, 2687, 1010, 2000, 2337, 1023, 1010, 2687, 1012, 11616, 2001, 19637, 2094, 1010, 1998, 2825, 27885, 8583, 12742, 1011, 4012, 14289, 4877, 3512, 6180, 8761, 1012, 5406, 21860, 5349, 1010, 9108, 27487, 1012, 1010, 7864, 1037, 3661, 6052, 2337, 2687, 1012, 2002, 3090, 2008, 2002, 2387, 1996, 8003, 2028, 2051, 1999, 2281, 2722, 1012, 2002, 3090, 2008, 2002, 2071, 2025, 2507, 1037, 11616, 2241, 2006, 1996, 3988, 4357, 1998, 2008, 3967, 15966, 1996, 8003, 2018, 2042, 12527, 2349, 2000, 1996, 3460, 2383, 1037, 12401, 7355, 1012, 2002, 3141, 2008, 1996, 8003, 2649, 2108, 2766, 11564, 2320, 2011, 1996, 2783, 2012, 4830, 16660, 2290, 1012, 2002, 2036, 2649, 4634, 2041, 1997, 1037, 7739, 2320, 1998, 2108, 5552, 2011, 1037, 3808, 5583, 1012, 2002, 2036, 5393, 2008, 2002, 2730, 8307, 2007, 1037, 3016, 5643, 2102, 1012, 2045, 2001, 2053, 4431, 2000, 13691, 3949, 1999, 2326, 1012, 1999, 2258, 2687, 1010, 1996, 8003, 7864, 1037, 4861, 4346, 2592, 2055, 2010, 6884, 6911, 5668, 1012, 2002, 2649, 2667, 2000, 3102, 1016, 15024, 2007, 2010, 6436, 2398, 2012, 3000, 2479, 1012, 2002, 3090, 2008, 2588, 4899, 1999, 11271, 3070, 1010, 2002, 2001, 2404, 2006, 1037, 4744, 2000, 2022, 3333, 2125, 2012, 2536, 2685, 1010, 1998, 2008, 2044, 2184, 2781, 1010, 1016, 2308, 2007, 8641, 2440, 1997, 12971, 1998, 1037, 17038, 4711, 2068, 1999, 1996, 2067, 1997, 1996, 4744, 1012, 2002, 3090, 2008, 1996, 17038, 2106, 2025, 2175, 2125, 1010, 2021, 2008, 1996, 12971, 2020, 7249, 1012, 2002, 3090, 2008, 1996, 14265, 2915, 1998, 2730, 1996, 1016, 2308, 1012, 2002, 3090, 2008, 2006, 1016, 6642, 1010, 2010, 22079, 2100, 2471, 2915, 2010, 2132, 2125, 2138, 2002, 2001, 7144, 1012, 2002, 5393, 2008, 2028, 2305, 2043, 1996, 9499, 2253, 2125, 1010, 2002, 4384, 2008, 1996, 22079, 2100, 2001, 2025, 2045, 1010, 1998, 2002, 2253, 2000, 2010, 9311, 1010, 1998, 2387, 2008, 1996, 22079, 2100, 2001, 2006, 2010, 25277, 7144, 1012, 2002, 3090, 2008, 2002, 8271, 2032, 2039, 1998, 3344, 2032, 2000, 2010, 15742, 1010, 1998, 1996, 22079, 2100, 2165, 2041, 2010, 3282, 1998, 2318, 5008, 1012, 2002, 2649, 1996, 2117, 2051, 2043, 2002, 2001, 2770, 2000, 1996, 14007, 1010, 2029, 1996, 8003, 2001, 4439, 2000, 2175, 2000, 1037, 3647, 2181, 1010, 1998, 2153, 1996, 22079, 2100, 2915, 1010, 1998, 1996, 7960, 2718, 1996, 19521, 1012, 2002, 2649, 2178, 5043, 2073, 1037, 3416, 3812, 1010, 2076, 2019, 9499, 2018, 1037, 13305, 1010, 1998, 2001, 2770, 1010, 1998, 2010, 13305, 2253, 2125, 1998, 2718, 1996, 2392, 1997, 1996, 15742, 2073, 1996, 8003, 2001, 3061, 1012, 2002, 2649, 2178, 5043, 2073, 2002, 2001, 2741, 2000, 14684, 1011, 21110, 2005, 1037, 2733, 2030, 2061, 1998, 2001, 1999, 1037, 27264, 2007, 1996, 4099, 1012, 2002, 3090, 2008, 2002, 2253, 2083, 1018, 15281, 1012, 2002, 3090, 2008, 2043, 2002, 2234, 2067, 2013, 1000, 3393, 2128, 28704, 1000, 1010, 2002, 2001, 2404, 2006, 13443, 4611, 2296, 2305, 1998, 2409, 2000, 5607, 2065, 2002, 2387, 2505, 1012, 2002, 3090, 2008, 2002, 2387, 1017, 18315, 1998, 2915, 2028, 2305, 1012, 2002, 5393, 2008, 2006, 1016, 6642, 1010, 2010, 2219, 2273, 5045, 2006, 1996, 3409, 1010, 2138, 2027, 2020, 11471, 1012, 1996, 8003, 9601, 1037, 12436, 7749, 1999, 2258, 2687, 1012, 1996, 8003, 3090, 2008, 2002, 4912, 2041, 24343, 13691, 2927, 1999, 2255, 2722, 1012, 2002, 2988, 2008, 2010, 9587, 2015, 2001, 1999, 4425, 1010, 2021, 2008, 2002, 2179, 2370, 1999, 4337, 8146, 1010, 2073, 2045, 2020, 14335, 10986, 14932, 1012, 2002, 2036, 2988, 2008, 2002, 2018, 2000, 6709, 2757, 3548, 1999, 2303, 26813, 1998, 2018, 2000, 2693, 1998, 3665, 1996, 2757, 1012, 1996, 19684, 7034, 2008, 1996, 8003, 1005, 1055, 2778, 1997, 4611, 3092, 2043, 2002, 2001, 2741, 2000, 1996, 7234, 16360, 9232, 2007, 2054, 2596, 2000, 2031, 2042, 2019, 11325, 6911, 4668, 1012, 11616, 2001, 19637, 2094, 1010, 11888, 1010, 5729, 1010, 1998, 2350, 2139, 27484, 8761, 1012, 1999, 2089, 2687, 1010, 1996, 20996, 2741, 1996, 8003, 1037, 3661, 17942, 2062, 2592, 2055, 2010, 6884, 6911, 5668, 1012, 1999, 2238, 2687, 1010, 1996, 8003, 3024, 2592, 2055, 2010, 6884, 6911, 5668, 1012, 2002, 3090, 2008, 2006, 1996, 2154, 2002, 3369, 1999, 5148, 1999, 2255, 3547, 2096, 5559, 1037, 4744, 2000, 1996, 3587, 4806, 4123, 1999, 11271, 3070, 1010, 2048, 9101, 2308, 4711, 1037, 4524, 2440, 1997, 12971, 1998, 1037, 17038, 2046, 1996, 4744, 1012, 2002, 3090, 2008, 1996, 17038, 2106, 2025, 15044, 1010, 2021, 1996, 6722, 2915, 1996, 2048, 2308, 1010, 1998, 2056, 1010, 1000, 6160, 2000, 5148, 1012, 1000, 2002, 3090, 2008, 1999, 2254, 2030, 2337, 3476, 1010, 2002, 2001, 8895, 2012, 11271, 3070, 2250, 2486, 2918, 1010, 1998, 2005, 1017, 2420, 2002, 2001, 2445, 1996, 4611, 1997, 4895, 18570, 2303, 8641, 4820, 9987, 4230, 2013, 1996, 8323, 1012, 2002, 3090, 2008, 2116, 1997, 1996, 2303, 8641, 2020, 9157, 2030, 2025, 14101, 5669, 1012, 2002, 3090, 2008, 2006, 1996, 2154, 2077, 10957, 1999, 3476, 1006, 2233, 2423, 1029, 1007, 2096, 8895, 2012, 11271, 3070, 2250, 2486, 2918, 1010, 2002, 2001, 3564, 2648, 1999, 1037, 2177, 3666, 1037, 3185, 1010, 2043, 2027, 2234, 2104, 17515, 2543, 1012, 2002, 3090, 2008, 2010, 27919, 6722, 2001, 2061, 7144, 2008, 2002, 2018, 2000, 4060, 2032, 2039, 2000, 4287, 2032, 2369, 1996, 5472, 8641, 1012, 2002, 3090, 2008, 2096, 4755, 2032, 2058, 1010, 1996, 27919, 6722, 1005, 1055, 3282, 2253, 2125, 1012, 2002, 3090, 2008, 2023, 2724, 5360, 2032, 6171, 1012, 2002, 3090, 2008, 2096, 8895, 2012, 1996, 3587, 4807, 4123, 1010, 2002, 2052, 2175, 2007, 1019, 2030, 1020, 2060, 3548, 2000, 3942, 2336, 1999, 2019, 18504, 1012, 2002, 3090, 2008, 2002, 2150, 2485, 2000, 1996, 2336, 1010, 1998, 2074, 2077, 4234, 3547, 1010, 2002, 2001, 2409, 2008, 2048, 1997, 1996, 2336, 2008, 2002, 2018, 2468, 2485, 2000, 2018, 2042, 2730, 1012, 2002, 3090, 2008, 2096, 2012, 11968, 6935, 2479, 1999, 2337, 3380, 2096, 2551, 2004, 1037, 2735, 3145, 1999, 1996, 3827, 1010, 2002, 20443, 1016, 15024, 1999, 1996, 7700, 2675, 5870, 1998, 3038, 2008, 2027, 2052, 2025, 2175, 2000, 5148, 1012, 2002, 3090, 2008, 2002, 4457, 2068, 2007, 2010, 6436, 2398, 1010, 2138, 2027, 2020, 5870, 2012, 2216, 2040, 2018, 2366, 1999, 5148, 1012, 2002, 3090, 2008, 1996, 2279, 2518, 2002, 4622, 2001, 2108, 2741, 2000, 10907, 3987, 2902, 1012, 1999, 2251, 2687, 1010, 1996, 15254, 1997, 1996, 3884, 3650, 2626, 1037, 3661, 2000, 1996, 20996, 1012, 1996, 15254, 2626, 2008, 2027, 2018, 2053, 2965, 2000, 20410, 2065, 1996, 8003, 2941, 4194, 1999, 4337, 1012, 2027, 5393, 2008, 1996, 8003, 1005, 1055, 2636, 3662, 2008, 2010, 4611, 4137, 2001, 4425, 3831, 7805, 1998, 2002, 2001, 2025, 3018, 1996, 4337, 2895, 10557, 1012, 2027, 5393, 2008, 1996, 8003, 1005, 1055, 4611, 8775, 2012, 11968, 6935, 2479, 2001, 1037, 4123, 2610, 13316, 2080, 1010, 1998, 2045, 2001, 2053, 12407, 2008, 2002, 2499, 1999, 1996, 3827, 1012, 1996, 8003, 2001, 22891, 1037, 2678, 4994, 2077, 1037, 2266, 1997, 1996, 2604, 1999, 2251, 2639, 1010, 1037, 24051, 1997, 2029, 2038, 2042, 3378, 2007, 1996, 4447, 19622, 1012, 2002, 3090, 2008, 2010, 4366, 2001, 2069, 2005, 19637, 2094, 1010, 1998, 2001, 4919, 2025, 2005, 2151, 2060, 13691, 8761, 1006, 3931, 2403, 1007, 1012, 1996, 8003, 3090, 2008, 2002, 2001, 2108, 2464, 2012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2012, 1996, 2556, 2051, 1010, 25891, 2038, 2468, 1037, 3809, 2112, 1997, 4610, 1012, 2471, 2035, 9786, 1998, 10390, 2224, 7588, 1998, 4274, 4434, 2005, 3171, 5682, 1010, 2107, 2004, 4346, 10390, 2007, 1037, 2062, 24908, 1998, 28749, 3688, 1010, 9229, 4031, 3737, 1010, 1998, 4855, 5350, 1998, 2578, 1012, 15329, 1010, 1996, 5331, 1997, 25891, 1998, 2049, 8092, 2006, 3171, 3930, 1999, 2119, 2764, 1998, 4975, 3032, 2038, 3445, 2200, 3435, 2076, 1996, 2197, 2048, 5109, 1012, 2174, 1010, 2406, 2951, 2006, 3274, 1010, 3526, 3042, 1010, 1998, 4274, 5198, 19141, 2367, 25891, 19241, 6165, 2408, 3032, 1998, 4655, 1010, 25891, 2224, 20390, 19141, 2019, 4852, 9874, 1010, 2750, 1996, 3522, 2088, 3171, 5325, 1006, 1031, 3275, 1015, 1033, 1006, 1001, 13433, 2638, 1011, 4002, 18139, 21057, 2509, 1011, 1043, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2005, 2742, 1010, 1996, 6706, 3930, 1997, 1996, 2193, 1997, 4684, 12562, 15002, 2015, 2003, 17725, 1010, 4285, 6163, 2566, 2531, 4864, 2011, 1996, 2203, 1997, 2268, 16452, 1012, 2023, 23283, 2008, 10390, 2024, 5627, 2000, 3613, 5938, 2112, 1997, 2037, 4487, 13102, 8820, 3468, 3318, 2006, 4684, 2578, 1011, 2130, 2012, 2335, 1997, 3361, 14679, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 2248, 2487, 1033, 1012, 999, 1031, 3795, 25891, 8973, 1010, 2687, 1011, 1011, 2268, 1012, 1032, 3120, 1024, 2009, 2226, 2088, 25958, 1013, 25891, 20390, 7809, 1012, 1033, 1006, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1012, 1043, 8889, 2487, 1007, 1063, 1001, 13433, 2638, 1011, 4002, 18139, 21057, 2509, 1011, 1043, 8889, 2487, 1065, 1999, 2804, 1010, 1996, 26303, 1997, 15836, 2076, 1996, 2397, 4134, 1998, 1996, 2220, 8876, 2003, 1037, 8476, 2008, 2038, 6296, 2116, 3930, 22171, 1012, 25891, 2003, 1996, 2783, 6454, 1997, 1996, 10660, 4329, 1998, 2003, 2124, 2004, 1996, 3145, 5387, 4439, 3171, 3930, 1999, 1996, 3919, 2554, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 13433, 2232, 5558, 2721, 2487, 1033, 1012, 2005, 9854, 1996, 6691, 1997, 25891, 2000, 3171, 3930, 1010, 1996, 2087, 2590, 3277, 2003, 4953, 2000, 1996, 12827, 1997, 25891, 1012, 25891, 11859, 2004, 1037, 4145, 2008, 2421, 7588, 1998, 2060, 2592, 3941, 2004, 2092, 2004, 3274, 4007, 1010, 2008, 4472, 7588, 1010, 15965, 3941, 1998, 2060, 2592, 1011, 3141, 2436, 3941, 1006, 6302, 3597, 14756, 2869, 1010, 5356, 18687, 1010, 10250, 19879, 6591, 1007, 1010, 4806, 3941, 1010, 1998, 5693, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 19330, 26455, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 14387, 16001, 2487, 1033, 1012, 1999, 2755, 1010, 25891, 2003, 1996, 5257, 1997, 8139, 1010, 12108, 1010, 4007, 1010, 6125, 1010, 1998, 11519, 7941, 3550, 3274, 2147, 3703, 1010, 1998, 1996, 8346, 1997, 2592, 2865, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 24926, 2487, 1033, 1010, 2035, 1997, 2029, 4254, 9786, 1010, 6088, 1010, 1998, 1996, 4610, 2004, 1037, 2878, 1012, 25891, 2003, 11539, 1997, 1037, 3528, 1997, 1000, 4807, 3941, 1000, 2029, 2950, 2557, 1010, 2694, 1010, 1998, 4807, 3941, 1998, 4007, 1012, 3568, 1010, 25891, 5211, 2950, 1000, 10518, 1999, 2119, 3274, 1998, 12108, 1010, 2004, 2092, 2004, 3141, 8051, 1010, 4007, 1998, 2578, 1000, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 2139, 24092, 2487, 1033, 1012, 1999, 2023, 3720, 1010, 2057, 2052, 2066, 2000, 11628, 1996, 3276, 2090, 25891, 2224, 1998, 3930, 3446, 1997, 14230, 2566, 8353, 1999, 18914, 3032, 1012, 2348, 2116, 6950, 2031, 3024, 17537, 3350, 2015, 2005, 1996, 16902, 2090, 25891, 5211, 1998, 3171, 3930, 1010, 2817, 2006, 1996, 4254, 1997, 25891, 2224, 2006, 3171, 3930, 2003, 2145, 2019, 16655, 2595, 24759, 19574, 2181, 1012, 3568, 1010, 2023, 3720, 2052, 6039, 1996, 3906, 6578, 2006, 1996, 3466, 1997, 25891, 2224, 2011, 11243, 1996, 5997, 1997, 18914, 3032, 2058, 1996, 2558, 2456, 1011, 1011, 2268, 1012, 1996, 3029, 1997, 1996, 3259, 2003, 2004, 4076, 1024, 1996, 2279, 2930, 2003, 1037, 3319, 1997, 7882, 2913, 2006, 1996, 4254, 25891, 2006, 3171, 3930, 1012, 9707, 16134, 1998, 2951, 2097, 2022, 3591, 2029, 4076, 2011, 1996, 17537, 9556, 1998, 6594, 1012, 1996, 2197, 2930, 14730, 1996, 3720, 2007, 1037, 2261, 3314, 2006, 3343, 13494, 1012, 3906, 3319, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 3466, 1997, 25891, 2006, 3171, 3930, 2038, 2042, 16578, 2011, 2116, 6048, 1999, 2197, 5109, 1012, 2087, 1997, 1996, 3350, 2015, 1999, 2023, 2181, 12210, 2008, 1996, 3893, 3466, 1997, 25891, 2006, 3171, 3930, 2003, 2025, 6835, 2077, 3054, 1011, 4134, 1012, 19330, 26455, 1998, 14387, 16001, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 19330, 26455, 2475, 1033, 2224, 25891, 3007, 6177, 2107, 2004, 3274, 8051, 1010, 4007, 1998, 25958, 3941, 2247, 2007, 3007, 1998, 4450, 2004, 20407, 1998, 17537, 2135, 20410, 1037, 2200, 2152, 25891, 9530, 18886, 3508, 2000, 3171, 3930, 1999, 1996, 2397, 4134, 1010, 2021, 2027, 2424, 2053, 3350, 1997, 1037, 3893, 3276, 2077, 1996, 3054, 1011, 4134, 1012, 1999, 2456, 1010, 10853, 15551, 1998, 16130, 11631, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 10853, 15551, 2487, 1033, 2265, 2008, 1996, 6691, 1997, 2009, 1999, 3171, 3930, 1997, 1996, 2142, 2163, 2003, 2138, 1997, 1996, 20885, 1997, 7588, 1010, 3141, 3941, 1998, 2578, 1010, 2025, 2349, 2000, 10660, 2689, 1012, 9308, 1010, 2060, 2913, 4863, 1996, 3278, 3466, 1997, 25891, 2006, 3171, 3930, 2107, 2004, 19904, 5558, 10270, 7092, 1998, 8675, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 19904, 5558, 10270, 7092, 2487, 1033, 1010, 9587, 3406, 14949, 4048, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 9587, 3406, 14949, 4048, 2487, 1033, 1998, 1047, 16652, 5017, 1998, 2139, 24092, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 1047, 16652, 5017, 2487, 1033, 1012, 2087, 1997, 2122, 2913, 2031, 2042, 8182, 2011, 13433, 2232, 5558, 2721, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 14855, 14973, 27717, 1033, 1012, 14855, 14973, 2050, 1998, 13433, 2232, 5558, 2721, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 13433, 2232, 5558, 2721, 2487, 1033, 5769, 2008, 25891, 2224, 1998, 2537, 3737, 2024, 1996, 2087, 2590, 5876, 1999, 2149, 3171, 3930, 1999, 1996, 4134, 1012, 1999, 2804, 1010, 2027, 3073, 3350, 2008, 25891, 12992, 2015, 3930, 1999, 6435, 2013, 1014, 1012, 1017, 1003, 2000, 1014, 1012, 1021, 1003, 2090, 1996, 2220, 1998, 2397, 4134, 1012, 1999, 2885, 1010, 8040, 28362, 10532, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 8040, 28362, 10532, 2487, 1033, 15102, 1996, 4254, 1997, 25891, 3007, 1998, 7127, 2008, 1996, 6691, 1997, 25891, 2000, 3171, 3930, 1997, 2176, 2647, 3032, 1010, 1996, 2142, 2163, 1010, 2710, 1010, 1998, 2900, 2076, 2901, 1011, 1011, 2727, 2003, 2055, 1014, 1012, 2459, 1011, 1011, 1014, 1012, 2756, 1003, 1012, 4913, 3089, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 4913, 3089, 2487, 1033, 24545, 8040, 28362, 10532, 1032, 1005, 1055, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 8040, 28362, 10532, 2487, 1033, 2817, 2000, 2410, 2647, 1998, 2274, 2500, 1998, 3065, 1037, 2172, 3020, 6691, 1997, 25891, 2005, 2169, 2406, 1012, 2119, 1997, 2068, 16519, 2008, 2312, 2647, 3032, 2024, 2521, 2369, 1996, 2149, 1999, 2023, 2181, 1012, 11243, 1037, 5041, 2951, 2275, 1010, 3158, 15745, 3802, 2632, 1012, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 3158, 17007, 2487, 1033, 2036, 12210, 2008, 1996, 12154, 2013, 25891, 3007, 2024, 3020, 1999, 1996, 2149, 2084, 1999, 2885, 1012, 2750, 1996, 3365, 2913, 1010, 1996, 3350, 1997, 25891, 6691, 2000, 3171, 3930, 1999, 4975, 3032, 2003, 2145, 18782, 1012, 2005, 6013, 1010, 24903, 2319, 1998, 1047, 16652, 5017, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 24903, 2319, 2487, 1033, 10197, 1996, 3466, 1997, 2009, 5211, 2006, 6434, 3930, 2005, 1996, 5997, 2951, 1997, 4029, 3032, 2058, 1996, 2558, 3106, 1011, 1011, 2857, 1010, 1998, 6848, 1996, 22133, 3343, 13494, 2005, 2009, 3007, 5211, 2011, 2764, 1998, 4975, 18730, 1012, 2027, 7487, 2008, 2709, 2013, 2009, 3007, 5211, 2003, 3893, 1998, 3278, 2005, 1996, 2764, 3032, 1999, 1996, 7099, 2021, 2025, 7778, 2135, 3278, 2005, 1996, 4975, 3924, 1012, 2023, 2817, 12332, 2023, 6578, 2000, 1996, 2659, 2504, 1997, 2009, 5211, 2004, 2092, 2004, 3768, 1997, 21053, 7045, 1999, 4975, 3032, 1012, 2027, 4863, 2008, 21053, 10518, 1999, 6502, 1010, 2529, 3007, 1010, 1998, 3716, 1011, 2241, 5090, 2024, 3653, 2890, 24871, 2005, 2009, 10518, 2000, 2022, 13318, 2029, 2024, 3262, 2800, 1999, 2764, 3032, 2738, 2084, 4975, 3924, 1012, 9308, 1010, 3389, 3802, 2632, 1012, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 3389, 2487, 1033, 5769, 1996, 3278, 4254, 1997, 25891, 2006, 3171, 3930, 1997, 2116, 2764, 1998, 4397, 3919, 3550, 18730, 1006, 9152, 2229, 1007, 1010, 2021, 2025, 1999, 4975, 3032, 1012, 1999, 2240, 2007, 2023, 2765, 1010, 3968, 18331, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 3968, 18331, 2487, 1033, 16519, 2008, 1996, 13727, 4254, 1997, 25891, 2006, 3171, 3930, 1999, 4975, 3032, 2089, 4070, 2005, 1996, 2397, 4955, 1997, 25891, 1999, 2122, 3032, 1025, 2005, 2742, 1010, 4274, 2326, 2001, 2025, 2800, 1999, 2087, 4975, 3032, 2127, 1996, 2397, 4134, 1012, 1999, 5688, 2007, 1996, 2682, 6594, 1010, 9865, 13348, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 9865, 13348, 2487, 1033, 6083, 2008, 4975, 3032, 2089, 5114, 2062, 5770, 2013, 25891, 2084, 2764, 3032, 2144, 11991, 2013, 1996, 21047, 2974, 2000, 1037, 2047, 1000, 25891, 1011, 8048, 20680, 1000, 16306, 3278, 5366, 2000, 2764, 3032, 1012, 2009, 2064, 6464, 5843, 2764, 3032, 2046, 2216, 20680, 2015, 2096, 7453, 1010, 2590, 6695, 2330, 2039, 2005, 2625, 1011, 3919, 3550, 3032, 2000, 4608, 2039, 1998, 2130, 1000, 11679, 19699, 8649, 1000, 3458, 1996, 3919, 3550, 3032, 2138, 2027, 2031, 4659, 2896, 11991, 5366, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 27457, 2487, 1033, 1012, 1999, 2023, 2391, 1997, 3193, 4975, 3032, 2089, 2031, 2019, 5056, 2058, 3935, 3032, 2007, 4847, 2000, 25891, 19241, 1012, 3227, 1010, 2057, 2064, 11443, 1996, 17537, 3350, 1997, 1996, 4254, 1997, 25891, 2006, 3171, 3930, 2000, 2048, 7236, 2241, 2006, 1996, 16134, 2109, 1999, 2122, 3906, 2015, 1012, 1996, 2034, 2003, 2913, 15440, 1996, 3930, 9529, 6028, 1010, 2029, 15871, 3930, 1999, 20407, 2011, 2037, 3745, 1999, 1996, 3643, 1997, 6434, 1998, 4671, 1996, 6691, 1997, 25891, 2000, 3171, 3930, 1999, 7017, 2391, 1012, 2122, 2913, 15821, 10853, 15551, 1998, 16130, 11631, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 10853, 15551, 2487, 1033, 1010, 19330, 26455, 1998, 14387, 16001, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 19330, 26455, 2475, 1033, 1998, 10853, 15551, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 10853, 15551, 2475, 1033, 1010, 2005, 1996, 2142, 2163, 1025, 14855, 14973, 2050, 1998, 13433, 2232, 5558, 2721, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 14855, 14973, 27717, 1033, 2005, 6435, 1025, 15068, 13947, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 15068, 13947, 2487, 1033, 2005, 1996, 2142, 2983, 1025, 5624, 25955, 2050, 1998, 8040, 28362, 10532, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 5624, 25955, 27717, 1033, 1010, 4913, 3089, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 4913, 3089, 2475, 1033, 1010, 3158, 15745, 3802, 2632, 1012, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 3158, 17007, 2487, 1033, 1998, 5199, 5017, 3802, 2632, 1012, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 5199, 5017, 2487, 1033, 2005, 2885, 1025, 10853, 15551, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 10853, 15551, 2509, 1033, 2005, 1996, 2177, 1997, 2698, 1006, 1043, 2581, 1007, 3032, 1025, 10853, 15551, 1998, 9587, 3406, 14949, 4048, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 10853, 15551, 2549, 1033, 2005, 2900, 1025, 1998, 10853, 15551, 1998, 24728, 1031, 1030, 13433, 2638, 1012, 4002, 18139, 21057, 2509, 1011, 10853, 15551, 2629, 1033, 2005, 7287, 3032, 1012, 2009, 2323, 2022, 3264, 2008, 2035, 1996, 2682, 3350, 2015, 2024, 2012, 1996, 2120, 2504, 6168, 2045 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2066, 2023, 1024, 3141, 2676, 10960, 2000, 1523, 1041, 15379, 2290, 8403, 1524, 6289, 1010, 4283, 1010, 5795, 1010, 2008, 1521, 1055, 2054, 1045, 2001, 4851, 2005, 1999, 1037, 2695, 2091, 1996, 2240, 1012, 5580, 2017, 2179, 2009, 1010, 6187, 1010, 1045, 2123, 1521, 1056, 7777, 1996, 3504, 1997, 2023, 3586, 2012, 2035, 1012, 1045, 2572, 6427, 2065, 2023, 4150, 2375, 1010, 1996, 5008, 2097, 2707, 1012, 1045, 2113, 2028, 3124, 1999, 3146, 2040, 2003, 2008, 2126, 1012, 6545, 2130, 2111, 1045, 2123, 1521, 1056, 2066, 2007, 2023, 3586, 6806, 29183, 1010, 1998, 1996, 2250, 2003, 2183, 2000, 2022, 2440, 1997, 4409, 5302, 3489, 1010, 1998, 1045, 7110, 1521, 1056, 25358, 2378, 1521, 2593, 1012, 2043, 1996, 2158, 3065, 2039, 2012, 2115, 2341, 2024, 2017, 2183, 2000, 5607, 2032, 1999, 1996, 2227, 2059, 3524, 2005, 1996, 5945, 2000, 3711, 2000, 3102, 2017, 1029, 1996, 2240, 2001, 4567, 2146, 3283, 1998, 1996, 4099, 1006, 10262, 2017, 2113, 2040, 2008, 2003, 1007, 2404, 2010, 3329, 2157, 2039, 2114, 2009, 1998, 7906, 3968, 4726, 2009, 2058, 1996, 2240, 1037, 2210, 2978, 2169, 2154, 2000, 2073, 2085, 2010, 2878, 3329, 2003, 2058, 1996, 2240, 1012, 2017, 2562, 5150, 2039, 1998, 4129, 2032, 2000, 2025, 2272, 2151, 3553, 2021, 2002, 7496, 2015, 2582, 1998, 2582, 2058, 2008, 3894, 2240, 1012, 2574, 2010, 2878, 2303, 2097, 2022, 2058, 1996, 2240, 1998, 2017, 2097, 3613, 2000, 2067, 2039, 2127, 2115, 2067, 2003, 2114, 1996, 2813, 1012, 2021, 2045, 2003, 2053, 2813, 2369, 2017, 1010, 2074, 2062, 2282, 2000, 2067, 2039, 1010, 2157, 2046, 2008, 3173, 3526, 1012, 2059, 2002, 2097, 9555, 1996, 2341, 1012, 1996, 26508, 2015, 2024, 2525, 24248, 1996, 4534, 1010, 2006, 3329, 1998, 1999, 4683, 1010, 1998, 2027, 2562, 1999, 19699, 23180, 2062, 1998, 2062, 1010, 6183, 2017, 6211, 1998, 6211, 1012, 2027, 2024, 3666, 2115, 5653, 1010, 2115, 4773, 3653, 11020, 10127, 1010, 5962, 2000, 2115, 3042, 1010, 14658, 2075, 2115, 4632, 7249, 2017, 2175, 1010, 2635, 2062, 1998, 2062, 1997, 2115, 16565, 1010, 18711, 1996, 2053, 9232, 2035, 2105, 2017, 1010, 13675, 16613, 2075, 2115, 2806, 1998, 11065, 2115, 2166, 1012, 2210, 2011, 2210, 2027, 2024, 1052, 7962, 2075, 2017, 18681, 2028, 2154, 2017, 5256, 2039, 1998, 2017, 2123, 1521, 1056, 7141, 2000, 2017, 4902, 1012, 2017, 3402, 7523, 2017, 7141, 2000, 2068, 1010, 2568, 1010, 2540, 1010, 2303, 1998, 3969, 1012, 4907, 2290, 1012, 1037, 3021, 2979, 2041, 1997, 2837, 2007, 2053, 19153, 1012, 1037, 9781, 13102, 28414, 14482, 2711, 2052, 2471, 2031, 2000, 2228, 2008, 1996, 2204, 10153, 19186, 1998, 20206, 2123, 1521, 1056, 2031, 1996, 2190, 5426, 1997, 1996, 2489, 29278, 2451, 2012, 2540, 1012, 6289, 1010, 2068, 11117, 1010, 2027, 2228, 2008, 2027, 2024, 3492, 6047, 1012, 1045, 2123, 1521, 1056, 2228, 2061, 1012, 1996, 2375, 1997, 4895, 18447, 21945, 8465, 2515, 6611, 2000, 2023, 4001, 3021, 1012, 2292, 1521, 1055, 2156, 2068, 2079, 2009, 1012, 2292, 1521, 1055, 5376, 2000, 10819, 9800, 2487, 2034, 1998, 2059, 2065, 3087, 2842, 4122, 2000, 18499, 2063, 2058, 1996, 2717, 1997, 1996, 3021, 1998, 2064, 2941, 2424, 2242, 2062, 23504, 2084, 2023, 1010, 2059, 3531, 2695, 2009, 2182, 1012, 1999, 1996, 12507, 1010, 1045, 2123, 1521, 1056, 2156, 2505, 2000, 23760, 15338, 11733, 2618, 2055, 4102, 2000, 2070, 1997, 1996, 2060, 8236, 12473, 2256, 2833, 1012, 1006, 1038, 1007, 3139, 5381, 1011, 1037, 3139, 2711, 2104, 2023, 2930, 2003, 2151, 2711, 2004, 4076, 1024, 1006, 1015, 1007, 1037, 2711, 2040, 3740, 1010, 9362, 1010, 5462, 1010, 2030, 11553, 1996, 9452, 4491, 2008, 4158, 2006, 2244, 2340, 1010, 2541, 1010, 2030, 6496, 2098, 2216, 3625, 2005, 2216, 4491, 1012, 1006, 1016, 1007, 1037, 2711, 2040, 2001, 1037, 2112, 1997, 2030, 12381, 3569, 2632, 1011, 18659, 1010, 1996, 16597, 1010, 2030, 3378, 2749, 2008, 2024, 5117, 1999, 17601, 2114, 1996, 2142, 2163, 2030, 2049, 6056, 5826, 1010, 2164, 2151, 2711, 2040, 2038, 5462, 1037, 4330, 17071, 4765, 2552, 2030, 2038, 3495, 3569, 2107, 17601, 1999, 4681, 1997, 2107, 4099, 2749, 1012, 1529, 1012, 1055, 3490, 2361, 1006, 1037, 1007, 9968, 14223, 22137, 2104, 2375, 1997, 2162, 1011, 1006, 1015, 1007, 1999, 2236, 1011, 3272, 2004, 3024, 1999, 20423, 1006, 1018, 1007, 1010, 1996, 4273, 2749, 1997, 1996, 2142, 2163, 4618, 2907, 1037, 2711, 2649, 1999, 20423, 1006, 1016, 1007, 2040, 2003, 4110, 1999, 1996, 2607, 1997, 17601, 9362, 2011, 1996, 20104, 2005, 2224, 1997, 2510, 2486, 1006, 2270, 2375, 10550, 1011, 2871, 1007, 1999, 2510, 9968, 14223, 22137, 2104, 1996, 2375, 1997, 2162, 1012, 1006, 1016, 1007, 3139, 5381, 1011, 1996, 9095, 1999, 20423, 1006, 1015, 1007, 4618, 6611, 2000, 2151, 2711, 3005, 12345, 2003, 9362, 2104, 2930, 9800, 2487, 2040, 2003, 4340, 1516, 1006, 1037, 1007, 2000, 2022, 1037, 2266, 1997, 1010, 2030, 2112, 1997, 1010, 2632, 1011, 18659, 2030, 2019, 3378, 2486, 2008, 4490, 1999, 12016, 2007, 2030, 27081, 2000, 1996, 3257, 1997, 2632, 1011, 18659, 1025, 1998, 1006, 1038, 1007, 2000, 2031, 4194, 1999, 1996, 2607, 1997, 4041, 2030, 4755, 2041, 2019, 2886, 2030, 4692, 2886, 2114, 1996, 2142, 2163, 2030, 2049, 6056, 5826, 1012, 1529, 1012, 1055, 3490, 2361, 1006, 1038, 1007, 10439, 19341, 8553, 2000, 2142, 2163, 4480, 1998, 26410, 6319, 12114, 1011, 1006, 1015, 1007, 2142, 2163, 4480, 1011, 1996, 9095, 2000, 20010, 8113, 1037, 2711, 1999, 2510, 9968, 2104, 2023, 2930, 2515, 2025, 7949, 2000, 4480, 1997, 1996, 2142, 2163, 1012, 1006, 1016, 1007, 26410, 6319, 12114, 1011, 1996, 9095, 2000, 20010, 8113, 1037, 2711, 1999, 2510, 9968, 2104, 2023, 2930, 2515, 2025, 7949, 2000, 1037, 26410, 6319, 7344, 1997, 1996, 2142, 2163, 2006, 1996, 3978, 1997, 6204, 2635, 2173, 2306, 1996, 2142, 2163, 1010, 3272, 2000, 1996, 6698, 7936, 2011, 1996, 4552, 1997, 1996, 2142, 2163, 1012, 18411, 2860, 1529, 1012, 2009, 3544, 19186, 2003, 2635, 1037, 3931, 2157, 2041, 1997, 8112, 1521, 1055, 2377, 8654, 1529, 1012, 3443, 1998, 8116, 5939, 5521, 4890, 2302, 10552, 1996, 3519, 1012, 19186, 1529, 1012, 2004, 2502, 1037, 13433, 2015, 2004, 8112, 1012, 1996, 2069, 2518, 4788, 2024, 1996, 8040, 2819, 1999, 5334, 2124, 2004, 4480, 2040, 2404, 1996, 17328, 19186, 2157, 2067, 2046, 2436, 2153, 999, 4907, 3523, 1010, 3552, 2061, 1529, 1012, 1996, 9994, 2005, 2070, 1523, 5057, 2008, 2180, 1521, 1056, 2175, 2000, 5949, 1524, 6230, 1999, 2397, 3500, 1010, 2061, 2008, 2011, 2397, 2621, 1996, 3864, 2097, 2031, 2000, 2022, 14475, 1523, 6229, 1996, 5057, 2003, 2058, 1524, 1010, 2052, 2022, 6551, 9124, 2011, 2023, 2210, 2978, 1997, 6094, 1012, 17012, 7382, 1529, 1996, 5508, 2012, 1996, 2341, 2097, 2025, 2272, 2157, 2185, 1012, 3422, 2005, 1037, 6270, 5210, 1998, 2059, 1996, 24529, 2050, 5132, 11961, 3215, 11956, 1523, 3808, 26520, 2015, 1524, 2802, 2572, 27350, 2050, 1012, 8440, 1521, 1056, 2023, 2525, 2318, 1999, 5298, 1029, 2027, 2097, 2031, 2037, 12191, 2015, 2551, 2004, 2017, 3298, 2083, 1010, 19795, 2115, 4316, 6105, 2007, 2115, 4769, 1010, 2147, 4769, 3081, 2115, 16548, 1010, 1998, 1010, 1997, 2607, 1010, 2054, 13780, 2024, 5068, 2000, 2017, 1012, 1999, 1996, 2111, 1521, 1055, 3537, 6102, 3072, 1997, 19924, 29278, 6200, 2009, 2003, 2035, 3201, 2000, 2175, 1012, 2004, 3631, 2004, 6187, 2003, 1010, 2009, 2003, 4909, 2769, 2013, 10759, 3036, 2000, 2562, 1996, 1523, 11829, 15666, 1524, 1006, 4910, 26520, 2015, 1007, 2330, 2247, 1996, 2364, 10292, 2008, 4607, 1996, 2110, 1012, 2122, 26520, 2015, 2024, 2881, 2000, 25102, 2035, 4683, 2083, 1037, 2312, 1010, 4800, 1011, 4644, 1010, 7381, 1011, 2066, 3252, 2073, 1996, 4171, 2744, 7616, 3198, 2017, 2065, 2017, 2031, 2151, 4840, 3965, 1012, 2298, 2005, 2122, 2000, 2022, 15371, 2011, 2510, 3629, 2613, 2574, 1012, 1996, 2028, 2006, 2149, 1044, 18418, 7886, 2013, 5392, 2001, 3728, 3294, 27170, 1998, 9725, 2000, 2022, 2969, 1011, 4838, 1999, 1996, 2724, 1997, 1037, 2373, 4945, 1010, 4385, 1012, 2009, 1521, 1055, 2893, 2485, 1012, 2562, 17463, 4691, 1012, 1045, 2963, 2055, 1523, 5068, 13780, 1524, 1999, 7167, 1997, 5691, 1998, 2694, 3065, 1012, 1045, 5382, 2008, 1996, 7151, 2546, 2433, 2008, 2442, 2022, 3561, 2041, 2000, 4651, 1037, 23646, 2083, 2019, 21461, 2140, 2003, 1037, 2785, 1997, 8819, 1010, 2021, 2027, 4033, 1521, 1056, 2664, 3936, 2008, 2027, 1521, 2128, 4363, 1037, 9053, 7809, 2013, 2592, 2766, 2013, 2216, 3596, 2011, 7151, 2546, 1523, 29589, 1524, 1010, 1998, 2725, 2061, 2003, 2145, 6206, 1012, 2070, 2163, 1998, 3655, 2031, 5025, 8819, 1006, 28497, 2015, 2024, 5068, 1999, 2047, 2259, 2110, 1998, 12864, 1010, 8506, 1010, 2000, 2171, 2048, 2125, 1996, 2327, 1997, 2026, 2132, 1007, 1010, 2021, 2087, 1997, 1996, 2406, 2145, 2038, 2053, 13216, 13780, 8819, 1012, 2045, 2003, 6923, 23646, 3954, 8819, 1010, 2174, 1010, 1999, 1996, 2433, 1997, 14091, 4287, 14245, 1012, 1045, 2031, 3090, 1999, 1996, 2627, 2008, 1037, 3180, 2644, 1998, 3945, 2609, 2006, 1996, 2110, 3675, 1017, 2661, 2013, 2026, 2160, 1010, 1037, 3675, 2008, 1045, 3298, 2408, 1037, 3232, 1997, 2335, 1037, 2733, 1010, 2052, 9495, 1037, 3497, 26094, 2886, 2006, 2008, 2609, 1012, 2021, 1045, 1521, 2222, 2763, 7975, 2041, 1012, 2030, 8246, 2000, 7105, 1996, 2940, 4346, 2524, 1011, 2000, 1011, 2156, 3229, 1012, 1045, 2387, 1996, 2930, 1997, 1996, 3021, 16064, 2000, 2360, 2009, 2134, 1521, 1056, 6611, 2000, 4480, 2030, 26410, 6319, 12114, 1010, 2021, 1037, 6176, 3752, 1997, 2008, 2930, 2089, 7487, 1037, 2367, 3574, 1012, 1523, 1996, 9095, 2000, 20010, 8113, 1037, 2711, 1999, 2510, 9968, 2104, 2023, 2930, 2515, 2025, 7949, 2000, 4480, 1997, 1996, 2142, 2163, 1012, 1524, 2061, 1996, 2510, 3475, 1521, 1056, 3223, 2000, 20010, 8113, 1037, 6926, 1010, 2021, 2027, 1521, 2128, 2145, 2445, 1996, 3691, 2000, 2079, 2061, 2323, 2027, 4792, 1012, 1998, 14485, 2135, 15349, 2216, 2048, 20423, 2015, 2007, 2178, 2978, 1997, 2455, 1011, 3067, 6094, 2097, 2022, 2200, 3733, 1006, 1523, 5433, 1060, 1004, 1061, 1997, 15529, 1062, 2024, 2182, 3762, 3718, 1524, 1007, 1012, 2054, 1521, 1055, 18263, 2000, 22346, 2055, 2122, 5433, 2003, 2008, 2027, 1521, 2128, 2019, 5793, 8170, 1997, 2942, 2162, 1012, 2079, 2027, 2428, 2215, 2093, 2454, 2093, 3867, 2545, 2000, 2707, 5008, 1029, 8307, 3475, 1521, 1056, 3241, 3442, 1012, 1045, 1521, 1049, 2007, 5822, 2121, 2546, 1012, 1045, 3191, 1996, 2878, 4365, 6254, 1998, 2387, 3599, 2498, 7149, 2007, 1996, 5228, 10069, 1997, 5101, 11686, 1998, 26424, 2213, 17615, 1012, 1998, 1045, 1521, 1049, 2074, 2004, 19810, 1998, 9495, 3407, 2004, 1996, 2279, 8618, 18856, 9912, 1012, 2023, 3021, 7110, 1521, 1056, 1996, 2346, 2000, 2566, 20562, 4983, 2017, 1521, 2128, 2007, 1996, 9353, 7630, 1998, 4737, 2055, 1996, 2916, 1997, 21025, 21246, 2080, 2030, 2060, 24815, 2072, 26485, 1012, 1996, 5142, 1045, 2079, 2031, 2058, 2023, 3021, 1998, 2296, 2060, 3021, 3818, 2104, 1996, 2783, 7349, 3995, 2615, 7709, 2003, 2008, 2205, 2116, 15142, 4784, 1997, 2205, 5041, 1037, 9531, 2024, 8966, 2046, 2028, 3021, 1012, 2054, 1045, 2202, 2185, 2013, 1996, 3752, 1997, 2023, 3021, 2003, 2025, 11968, 5740, 2401, 1010, 2021, 1037, 6748, 4847, 2005, 1996, 5053, 1998, 17839, 1997, 1996, 8506, 2110, 4552, 1998, 7709, 2005, 10449, 1010, 20767, 1998, 4458, 1997, 2037, 2110, 4277, 1012, 2028, 2801, 1027, 2028, 3021, 1010, 1019, 2420, 1997, 5981, 2059, 3789, 1012, 1997, 2607, 1010, 1037, 2291, 2066, 2008, 2052, 2941, 5478, 2062, 2147, 1010, 2625, 2051, 2005, 26242, 2037, 1006, 7349, 3995, 2615, 22680, 1007, 10518, 1012, 2009, 2979, 1010, 1996, 2149, 2231, 2038, 4161, 2162, 2006, 2296, 2158, 1010, 2450, 1010, 1998, 2775, 1999, 2637, 1012, 2182, 1521, 1055, 2040, 12056, 2149, 1012, 1523, 6079, 5205, 12056, 2017, 2651, 1012, 2027, 9362, 1010, 2004, 2019, 7450, 2000, 1996, 3639, 20104, 2552, 1010, 1996, 25617, 8636, 1997, 5292, 4783, 2271, 13931, 1012, 2057, 2024, 2085, 3985, 1037, 2610, 2110, 1012, 2037, 3415, 2024, 2004, 4076, 1024, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4008, 2509, 1055, 1012, 1059, 1012, 14134, 5179, 2509, 1006, 3440, 1007, 3487, 1046, 1012, 6868, 1010, 1040, 1013, 1038, 1013, 1037, 3968, 6868, 13891, 2194, 1010, 10439, 24178, 1010, 1058, 1012, 2103, 1997, 2624, 4980, 3802, 2632, 1012, 1010, 10439, 14774, 2229, 1012, 2053, 1012, 16333, 26187, 1012, 2457, 1997, 2942, 9023, 1997, 3146, 1010, 2624, 4980, 1012, 2238, 2423, 1010, 3440, 1012, 2117, 4367, 2005, 2128, 26560, 2075, 6380, 2251, 2382, 1010, 3440, 1012, 1008, 5179, 2549, 7253, 6291, 1010, 1059, 1012, 1059, 1012, 8809, 1010, 2624, 4980, 1010, 2005, 10439, 24178, 1012, 16694, 1010, 12819, 1010, 24665, 9953, 3286, 1010, 4482, 1004, 7296, 1010, 4027, 1039, 1012, 16580, 1010, 2624, 4980, 1010, 2005, 10439, 14774, 2229, 1012, 1008, 5179, 2629, 2006, 4367, 2005, 2128, 26560, 2075, 1012, 23600, 2050, 1010, 3425, 1012, 10439, 24178, 1005, 1055, 4367, 2005, 2128, 26560, 2075, 2003, 2058, 6820, 3709, 1012, 2174, 1010, 1996, 5448, 3130, 6406, 2182, 2378, 2003, 9633, 1998, 1996, 2206, 2003, 17316, 2045, 29278, 1024, 20579, 1010, 3487, 1046, 1012, 6868, 1010, 9023, 2013, 1037, 12654, 8689, 16039, 2032, 7233, 2005, 2054, 2002, 6884, 11846, 2019, 29205, 11099, 2007, 3229, 2000, 2010, 3200, 1999, 2624, 4980, 1010, 4525, 2013, 1996, 2810, 1997, 1996, 23529, 2395, 2058, 15194, 2011, 13474, 2103, 1997, 2624, 4980, 1012, 1996, 2060, 13474, 1010, 5284, 3534, 4296, 2194, 1010, 4194, 1999, 1996, 2810, 1997, 1996, 2058, 15194, 2011, 15080, 2000, 1996, 2103, 3056, 7496, 8163, 1998, 2011, 2437, 12194, 5857, 1010, 1999, 10388, 2007, 2019, 3820, 2090, 2009, 1998, 1996, 2103, 1010, 2000, 2393, 13366, 9447, 1996, 3465, 1997, 14908, 2075, 1996, 2058, 15194, 2058, 2049, 4296, 3162, 2006, 23529, 2395, 1012, 2004, 7686, 2011, 1996, 10860, 16403, 1010, 20579, 1005, 1055, 3200, 1010, 2006, 2029, 2002, 1008, 5179, 2575, 5748, 1037, 13891, 2449, 1010, 2003, 10351, 2011, 3449, 17161, 2395, 2006, 1996, 2167, 1010, 2148, 16521, 2080, 2395, 2006, 1996, 2264, 1010, 23529, 2395, 2006, 1996, 2148, 1010, 1998, 1010, 2006, 1996, 2225, 1010, 2011, 1037, 6167, 1997, 2455, 14443, 20579, 1005, 1055, 3200, 2013, 2148, 16571, 2140, 2395, 1012, 3449, 17161, 2395, 1010, 2029, 8273, 3215, 20579, 1005, 1055, 3200, 2006, 1996, 2167, 1010, 2001, 1010, 2077, 1996, 13760, 1997, 1996, 2058, 15194, 1010, 1037, 2048, 1011, 2126, 16030, 17883, 1010, 4755, 4026, 2264, 1998, 2225, 1012, 1996, 2810, 1997, 1996, 3694, 8745, 2499, 2053, 2689, 1999, 1996, 4664, 1997, 3449, 17161, 2395, 2006, 2029, 20579, 1005, 1055, 3200, 8273, 3215, 1010, 2021, 1010, 2004, 1037, 2112, 1997, 2002, 3694, 8745, 2933, 1010, 1996, 2395, 2001, 2701, 2012, 1037, 2391, 2006, 1996, 2264, 2240, 1997, 2148, 16521, 2080, 2395, 1012, 2148, 16571, 2140, 2395, 1010, 2000, 1996, 2225, 1997, 20579, 1005, 1055, 3200, 1010, 2001, 2025, 5360, 2011, 1996, 2810, 1997, 1996, 2058, 15194, 1012, 2009, 2145, 7883, 2048, 1011, 2126, 4026, 1010, 2167, 1998, 2148, 1010, 2004, 2009, 2106, 2077, 1012, 2429, 2000, 20579, 1005, 1055, 21358, 8873, 29045, 4183, 1999, 4559, 2000, 16362, 1005, 4367, 2005, 12654, 8689, 1010, 2008, 4664, 1997, 2148, 16521, 2080, 2395, 2029, 8273, 3215, 20579, 1005, 1055, 3200, 2006, 1996, 2264, 1010, 2090, 23529, 2395, 1998, 3449, 17161, 2395, 1010, 2003, 2025, 2330, 2000, 4026, 1012, 2138, 1997, 2023, 1010, 1998, 1996, 5494, 1997, 3449, 17161, 2395, 2012, 1996, 2264, 2240, 1997, 2148, 16521, 2080, 2395, 1010, 24773, 4026, 2006, 3449, 17161, 2395, 2442, 2735, 2167, 2588, 4285, 1996, 2148, 16521, 2080, 2395, 6840, 1012, 3188, 2000, 1996, 2810, 1997, 1996, 2058, 15194, 3252, 1010, 23529, 2395, 2001, 1037, 4600, 7837, 16749, 1010, 4755, 2119, 2264, 1998, 2225, 1011, 5391, 4026, 1012, 1996, 2058, 15194, 3252, 1010, 2164, 2008, 2006, 1996, 4664, 1997, 23529, 2395, 2029, 2003, 5516, 2000, 20579, 1005, 1055, 2455, 1010, 2001, 3833, 2682, 1998, 4498, 2306, 1996, 4493, 2157, 1011, 1997, 1011, 2126, 1997, 23529, 2395, 1012, 2053, 4664, 1997, 20579, 1005, 1055, 3200, 2001, 2579, 2005, 1996, 2622, 1012, 1999, 2049, 2556, 4650, 1010, 2044, 6503, 1997, 1996, 2058, 15194, 3252, 1010, 23529, 2395, 2012, 3694, 2504, 3202, 1999, 2392, 1997, 20579, 1005, 1055, 2455, 2003, 4498, 12308, 2013, 1996, 2167, 13730, 2240, 2000, 1996, 2148, 13730, 2240, 1010, 1037, 2561, 9381, 1997, 3155, 3429, 2519, 1012, 1999, 1996, 2415, 2112, 1997, 1996, 12308, 2181, 2012, 3694, 2504, 1010, 3202, 1999, 2392, 1997, 20579, 1005, 1055, 3200, 1010, 2024, 2416, 5509, 16067, 2588, 2029, 2024, 2241, 1996, 7753, 4637, 1996, 2058, 15194, 3252, 1012, 1996, 6263, 3292, 2090, 2122, 16067, 2003, 5354, 1012, 4090, 2519, 1012, 2048, 27776, 5910, 18300, 2098, 2395, 3694, 4026, 10914, 1010, 2169, 4376, 2519, 1999, 9381, 1010, 2024, 2284, 2006, 2119, 1996, 2167, 1998, 2148, 3903, 1997, 1996, 16067, 1012, 1996, 4026, 4644, 2284, 2090, 1996, 16067, 1998, 1996, 2167, 13730, 2240, 1997, 23529, 2395, 7883, 24717, 4026, 1012, 1996, 27776, 5910, 18300, 2098, 4026, 4644, 2090, 1996, 16067, 1998, 1996, 2148, 13730, 2240, 1997, 1996, 2395, 7883, 24773, 4026, 1012, 2007, 4431, 2000, 1996, 2556, 4650, 1997, 23529, 2395, 1010, 20579, 1005, 1055, 2364, 10821, 2024, 2008, 1996, 3295, 1997, 1996, 16067, 2007, 4431, 2000, 1996, 4493, 11202, 2015, 2877, 2000, 1998, 2013, 20579, 1005, 1055, 2455, 3084, 4443, 2000, 1998, 6164, 2013, 2107, 2455, 2625, 14057, 2084, 2009, 2001, 2077, 1996, 13760, 1997, 1996, 2058, 15194, 1010, 1998, 3084, 2009, 3391, 3697, 1010, 2065, 2025, 5263, 1010, 2005, 2312, 9322, 2000, 2681, 2030, 4607, 20579, 1005, 1055, 10345, 1025, 2008, 1996, 9625, 1997, 1996, 4026, 2029, 3839, 2109, 23529, 2395, 2012, 3694, 2504, 2085, 3594, 1996, 2058, 15194, 3252, 1025, 2008, 20579, 1005, 1055, 6304, 2442, 2085, 3604, 1037, 2062, 4984, 3560, 2799, 1999, 2183, 2000, 1998, 2013, 20579, 1005, 1055, 13891, 4220, 1025, 2008, 1996, 3739, 1997, 1996, 2058, 15194, 3252, 3084, 2009, 3697, 2000, 2156, 20579, 1005, 1055, 2173, 1997, 2449, 1010, 1998, 2008, 1010, 2138, 1997, 2122, 3785, 1010, 20579, 1005, 1055, 2449, 2038, 2042, 15316, 2135, 5360, 1998, 2010, 2455, 2038, 6430, 1999, 3643, 1012, 2012, 1996, 26674, 1010, 2057, 15454, 20579, 1005, 1055, 18974, 2015, 2008, 2002, 2003, 4709, 2000, 9430, 2138, 1996, 2689, 1999, 23529, 2395, 2038, 4504, 1999, 1000, 4984, 2100, 1997, 3604, 1000, 1998, 20150, 1997, 4026, 1012, 2004, 2146, 2004, 1996, 8273, 13027, 3954, 14567, 9608, 3229, 2000, 1996, 2270, 3307, 1010, 2002, 2515, 2025, 9015, 4012, 11837, 19150, 4053, 2138, 1996, 2689, 1999, 2640, 2030, 3252, 1997, 1996, 3307, 5942, 2032, 1998, 2216, 7149, 2007, 2032, 2000, 2224, 1037, 2062, 4984, 3560, 2799, 1999, 2183, 2000, 1998, 2013, 2010, 10345, 1012, 4267, 1058, 1012, 5947, 2110, 3307, 4012, 2213, 1012, 1010, 23628, 5947, 5585, 2549, 1010, 3938, 1050, 1012, 1059, 1012, 14134, 17365, 1006, 3845, 1007, 1025, 6187, 27313, 8953, 1058, 1012, 16216, 8024, 1010, 22997, 9587, 1012, 18034, 1010, 13427, 1055, 1012, 1059, 1012, 4868, 1006, 4881, 1007, 1025, 11409, 14232, 1058, 1012, 5858, 17116, 3691, 1010, 21950, 1052, 1012, 14134, 18914, 1006, 7929, 2140, 1012, 1008, 5179, 2581, 4052, 1007, 1012, 2348, 1996, 2157, 1997, 3229, 2003, 6543, 2135, 5123, 1010, 1996, 6666, 1997, 2797, 6095, 2031, 2042, 8916, 2061, 2146, 2004, 2045, 2003, 9608, 3229, 1012, 1996, 3860, 22891, 2000, 8273, 13027, 5608, 1000, 2323, 2025, 2022, 3668, 2000, 6807, 1037, 4012, 11837, 19150, 15011, 2073, 1037, 3200, 3954, 2038, 9608, 3229, 2000, 2010, 3200, 2044, 2810, 1997, 1996, 2270, 7620, 1012, 1000, 4241, 14289, 2100, 1058, 1012, 2103, 1997, 11333, 3597, 1010, 4464, 2575, 1055, 1012, 1059, 1012, 14134, 9800, 1010, 11518, 1006, 16060, 1012, 10514, 2361, 1012, 3551, 1007, 1012, 2144, 2053, 8273, 13027, 3954, 2038, 1037, 26003, 3037, 1999, 1996, 4026, 2008, 5235, 1999, 2392, 1997, 2010, 3200, 1010, 20150, 1997, 2107, 4026, 2011, 1996, 2810, 1010, 2012, 2178, 2391, 1010, 1997, 1037, 2346, 2029, 1996, 2270, 19233, 2000, 3604, 1010, 2515, 2025, 2765, 1999, 4012, 11837, 19150, 4053, 1012, 10647, 3736, 14028, 3514, 2522, 1012, 1058, 1012, 2110, 1010, 29562, 1055, 1012, 1059, 1012, 14134, 5139, 2575, 1010, 5139, 2683, 1006, 16060, 1012, 25022, 2615, 1012, 10439, 1012, 2624, 4980, 3624, 1010, 25697, 25416, 1005, 1040, 1007, 1025, 2110, 3307, 3222, 1058, 1012, 15462, 2015, 1010, 5388, 1055, 1012, 1059, 1012, 14134, 14748, 1006, 16060, 1012, 25022, 2615, 1012, 10439, 1012, 2624, 4980, 4537, 1010, 25697, 25416, 1005, 1040, 1007, 1012, 1996, 2501, 26056, 2015, 2008, 1010, 2096, 20579, 2145, 2038, 3229, 2000, 23529, 2395, 1010, 1996, 2810, 1997, 1996, 2058, 15194, 2038, 2081, 2009, 2062, 3697, 2000, 4607, 1998, 2681, 20579, 1005, 1055, 3200, 1012, 2429, 2000, 1996, 8040, 28433, 14606, 1998, 2060, 10637, 2029, 2191, 2039, 1996, 12654, 8689, 2501, 1010, 1996, 4493, 2685, 1997, 13749, 8303, 2000, 1010, 1998, 1041, 17603, 4757, 2013, 1010, 20579, 1005, 1055, 10345, 3081, 23529, 2395, 2024, 2379, 1996, 2685, 2073, 2107, 2395, 17349, 2148, 16521, 2080, 2395, 1998, 2148, 16571, 2140, 2395, 1012, 2028, 1997, 1996, 5509, 16067, 5716, 1996, 3192, 2005, 1996, 7753, 2029, 2490, 1996, 2058, 15194, 2003, 2284, 1999, 1996, 2415, 1997, 23529, 2395, 1010, 4593, 3495, 4500, 2019, 4493, 4211, 2006, 1996, 2530, 3341, 1997, 20579, 1005, 1055, 3200, 2379, 2148, 16571, 2140, 2395, 1012, 2009, 3544, 2008, 2023, 11202, 3685, 2022, 7448, 8736, 2225, 2302, 6885, 2009, 2006, 2455, 2025, 3079, 2011, 20579, 1012, 3048, 1996, 11202, 2000, 1996, 2264, 2052, 5478, 2012, 2560, 1996, 7704, 12451, 1997, 2019, 4493, 13891, 8328, 1012, 2004, 2521, 2004, 1996, 2391, 1997, 4443, 2006, 1996, 2789, 4664, 1997, 20579, 1005, 1055, 2455, 1010, 2379, 2148, 16521, 2080, 2395, 1010, 2003, 4986, 1010, 2045, 2003, 2498, 2000, 5769, 2008, 2049, 6179, 2791, 2071, 2025, 2022, 3445, 2011, 26811, 2009, 3621, 2000, 1996, 2264, 1012, 16362, 11160, 2006, 16808, 20644, 2194, 1058, 1012, 3307, 29466, 1012, 1010, 4229, 2549, 1055, 1012, 1059, 1012, 14134, 24690, 1006, 16060, 1012, 25022, 2615, 1012, 10439, 1012, 23204, 10486, 3546, 1010, 25697, 25416, 1005, 1040, 1050, 1012, 1054, 1012, 1041, 1012, 1007, 1010, 2073, 20152, 2020, 6380, 9430, 2348, 2810, 1997, 2019, 2058, 15194, 4504, 1999, 11737, 5498, 12227, 1996, 9381, 1997, 1996, 2395, 2006, 2029, 2027, 8273, 16190, 2013, 5659, 1011, 3157, 2000, 3174, 1011, 2416, 2519, 1012, 1999, 1996, 2607, 1997, 2049, 5448, 1010, 1996, 23204, 10486, 2457, 5159, 2008, 1996, 5608, 1000, 2145, 2018, 3229, 2000, 2037, 3200, 1998, 9322, 2071, 7170, 1998, 4895, 11066, 1000, 2012, 1996, 5608, 1005, 4744, 3016, 1010, 1000, 2348, 1996, 2312, 9322, 2071, 2025, 2224, 2023, 2395, 1999, 2049, 15700, 2004, 2018, 2042, 2109, 2077, 1996, 2058, 15194, 2001, 2328, 1008, 1008, 1008, 1012, 1000, 1999, 4241, 14289, 2100, 1058, 1012, 2103, 1997, 11333, 3597, 1010, 4464, 2575, 1055, 1012, 1059, 1012, 14134, 9800, 1010, 11518, 1006, 3551, 1007, 1010, 1996, 4259, 2457, 4136, 2149, 2008, 1996, 4646, 2005, 25697, 1997, 7561, 1999, 16808, 20644, 2001, 4188, 1010, 2007, 1996, 14869, 1000, 2053, 7065, 2545, 7028, 7561, 1010, 1000, 2138, 2009, 2001, 1996, 3193, 1997, 1996, 4259, 2457, 2008, 1000, 1996, 3200, 5608, 2020, 2187, 2007, 9608, 3229, 1008, 1008, 1008, 1012, 1000, 1996, 11099, 2007, 20579, 1005, 1055, 3229, 2013, 23529, 2395, 3544, 2000, 2022, 3618, 2084, 2008, 2029, 4504, 2013, 1996, 2810, 1997, 1996, 7620, 1999, 16808, 20644, 1012, 2174, 1010, 1996, 2501, 11138, 2008, 4683, 8361, 2013, 20579, 1005, 1055, 3200, 2011, 2965, 1997, 1996, 2530, 11202, 1010, 2379, 2148, 16571, 2140, 2395, 1010, 2064, 10838, 1999, 2019, 10957, 2135, 3257, 2006, 23529, 2395, 2011, 4439, 2408, 1996, 24717, 4644, 1010, 29053, 2075, 1996, 12308, 2752, 2090, 1996, 16067, 1010, 2029, 2003, 2330, 2000, 4026, 1010, 1998, 5738, 1996, 24773, 4644, 1012, 4683, 22371, 2013, 2107, 11202, 2064, 10838, 2225, 2006, 23529, 2395, 1010, 2348, 2009, 3544, 1010, 1998, 2057, 7868, 1010, 2008, 2312, 9322, 7161, 2023, 17519, 2138, 1997, 1996, 3739, 1997, 1996, 10356, 3495, 4500, 2023, 11202, 1998, 1996, 2755, 2008, 1996, 24717, 4644, 2003, 2069, 4376, 2519, 2898, 1010, 1998, 2008, 9322, 18207, 2225, 2006, 23529, 2395, 2052, 2031, 7669, 1999, 16911, 1996, 2530, 11202, 2005, 1996, 3800, 1997, 5738, 20579, 1005, 1055, 10345, 1012, 4683, 2975, 20579, 1005, 1055, 3200, 2011, 2965, 1997, 1996, 2789, 11202, 2379, 2148, 1008, 5179, 2620, 16571, 2140, 2395, 2052, 2031, 2210, 2030, 2053, 7669, 1999, 18207, 2264, 2006, 23529, 2395, 1012, 2174, 1010, 2138, 1997, 1996, 3739, 1997, 1037, 10356, 2074, 2225, 1997, 2023, 11202, 1010, 2009, 3544, 2008, 2009, 2052, 2022, 2200, 3697, 2005, 2312, 9322, 8361, 2013, 2023, 11202, 2000, 2735, 2157, 1998, 10838 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 17691, 1042, 1012, 7605, 6191, 2581, 1006, 5893, 25022, 2099, 1012, 2639, 1007, 20004, 5317, 2522, 1012, 1025, 2214, 3072, 5427, 2522, 1012, 1010, 9964, 2545, 1010, 1058, 1012, 2472, 1010, 2436, 1997, 3667, 1005, 9430, 3454, 1010, 2142, 2163, 2533, 1997, 4450, 1025, 2984, 1038, 1012, 6174, 2121, 1025, 2984, 1040, 1012, 6174, 2121, 1010, 25094, 1012, 2053, 1012, 5818, 1011, 28188, 2509, 2142, 2163, 2457, 1997, 9023, 2005, 1996, 5964, 4984, 2258, 2538, 1010, 2639, 1010, 7864, 19792, 2063, 2570, 1010, 2639, 1010, 6406, 2928, 1041, 1012, 9168, 2015, 1997, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 5275, 1006, 6874, 2777, 3597, 4246, 16536, 1010, 2006, 1996, 4766, 1007, 1010, 2005, 9964, 2545, 1012, 10454, 1049, 1012, 27178, 2618, 1997, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 5275, 1006, 2888, 1048, 1012, 14017, 6761, 1010, 6221, 1055, 1012, 13182, 1010, 1998, 10717, 1049, 1012, 26785, 2063, 1010, 2006, 1996, 4766, 1007, 1010, 2005, 25094, 1012, 2077, 11338, 19912, 2937, 1010, 13660, 2368, 1010, 1998, 7104, 1010, 4984, 6794, 1012, 7104, 1010, 4984, 3648, 1012, 1015, 1996, 11671, 2008, 3640, 6666, 2000, 8643, 1997, 5317, 11257, 2040, 4265, 2013, 2304, 11192, 4295, 2001, 13266, 1999, 3285, 2000, 9375, 7794, 2004, 2164, 2070, 6405, 9196, 10403, 2004, 2092, 2004, 10403, 2012, 1996, 2051, 1997, 2331, 1012, 3581, 6174, 2121, 2001, 3139, 2011, 1996, 11671, 1998, 2043, 2002, 2351, 1996, 2472, 1010, 2436, 1997, 3667, 1005, 9430, 3454, 1010, 2533, 1997, 4450, 1006, 2079, 2140, 1007, 1010, 3018, 2440, 6666, 2000, 2010, 6405, 2564, 1998, 2000, 2010, 6405, 9196, 2564, 1012, 6174, 2121, 1005, 1055, 11194, 1010, 20004, 5317, 2522, 1012, 1010, 1998, 2049, 16021, 27595, 1010, 2214, 3072, 5427, 2522, 1012, 1010, 5224, 2008, 2104, 1996, 12711, 15201, 1998, 10738, 15931, 1996, 2308, 2020, 2069, 4709, 2000, 7704, 6666, 1012, 1996, 6666, 3319, 2604, 16813, 1996, 2400, 1010, 1998, 20004, 1998, 2214, 3072, 6406, 2023, 9964, 2005, 3319, 1997, 1996, 2604, 1005, 1055, 2344, 1012, 2057, 21358, 27972, 1012, 1045, 1012, 1016, 1996, 2304, 11192, 6666, 2552, 1006, 1996, 2552, 1007, 1010, 2382, 1057, 1012, 1055, 1012, 1039, 1012, 3938, 2487, 3802, 7367, 4160, 1012, 1010, 3640, 2005, 1996, 7909, 1997, 6666, 2043, 1037, 5317, 18594, 2003, 6135, 9776, 2011, 1052, 2638, 2819, 24163, 27678, 6190, 2030, 2001, 6135, 9776, 2011, 1052, 2638, 2819, 24163, 27678, 6190, 2012, 1996, 2051, 1997, 2010, 2331, 2487, 2030, 2351, 2349, 2000, 1052, 2638, 2819, 24163, 27678, 6190, 1012, 2156, 8909, 1012, 6227, 2487, 1006, 1037, 1007, 1012, 3581, 6174, 2121, 6406, 1037, 4366, 2005, 6666, 2104, 1996, 2552, 1999, 3299, 1998, 2001, 3018, 6666, 1999, 3261, 1010, 2029, 2506, 2127, 2010, 2331, 1999, 2254, 2901, 1012, 2012, 1996, 2051, 3581, 2351, 1010, 2010, 6405, 2564, 2001, 2984, 1038, 1012, 6174, 2121, 3183, 2002, 2018, 2496, 1999, 2251, 3118, 1012, 2002, 2001, 2036, 2012, 2008, 2051, 2145, 3223, 2000, 2191, 2490, 10504, 2000, 2010, 3188, 2564, 1010, 2984, 1040, 1012, 6174, 2121, 1025, 2037, 3510, 2018, 6354, 2062, 2084, 2702, 2086, 1012, 1017, 1996, 2552, 3640, 2008, 2043, 1037, 18594, 4909, 6666, 8289, 1010, 1000, 6666, 4618, 2022, 3825, 2000, 2010, 7794, 1006, 2065, 2151, 1007, 2012, 1996, 3446, 1996, 10181, 18594, 2052, 4374, 2107, 6666, 1012, 1000, 8909, 1012, 6227, 2475, 1006, 1037, 1007, 1006, 1016, 1007, 1012, 2043, 1996, 2552, 2001, 2979, 1999, 3440, 1010, 1996, 11671, 4225, 7794, 3432, 2000, 2812, 1996, 18594, 1005, 1055, 2564, 2012, 1996, 2051, 1997, 2010, 2331, 1012, 2156, 2976, 5317, 3067, 2740, 1998, 3808, 2552, 1997, 3440, 1010, 9047, 1012, 1048, 1012, 2053, 1012, 6205, 1011, 19410, 1010, 28048, 1006, 1041, 1007, 1010, 6640, 28093, 1012, 6356, 2475, 1010, 6535, 2509, 1012, 2093, 2086, 2101, 1010, 2174, 1010, 1999, 3285, 1010, 3519, 13266, 1996, 6210, 1997, 7794, 2000, 2421, 2151, 6405, 9196, 2564, 2040, 2018, 2042, 2496, 2000, 1037, 18594, 2005, 2702, 2086, 3202, 11003, 2037, 8179, 1998, 2040, 2018, 2042, 4709, 2000, 2030, 4909, 6937, 2490, 2013, 1996, 18594, 2012, 1996, 2051, 1997, 2010, 2331, 1012, 1016, 2156, 2304, 11192, 6666, 2552, 1997, 3285, 1010, 9047, 1012, 1048, 1012, 2053, 1012, 6227, 1011, 19988, 1010, 10819, 1012, 1015, 1006, 1039, 1007, 1006, 1017, 1007, 1010, 28048, 1006, 1041, 1007, 1010, 6564, 28093, 1012, 5018, 1010, 15017, 1012, 1018, 2045, 2003, 2053, 7593, 1999, 2023, 2553, 2008, 2119, 1997, 3581, 1005, 1055, 6405, 10403, 2024, 4709, 2000, 6666, 2104, 1996, 2552, 1010, 2021, 1996, 4243, 21090, 2006, 1996, 3815, 1997, 6666, 1996, 10403, 2323, 4374, 1012, 2104, 1996, 3285, 7450, 2984, 1040, 1012, 2001, 4709, 2000, 6666, 2004, 3581, 1005, 1055, 6405, 9196, 2564, 1010, 1998, 1996, 2079, 2140, 4340, 2008, 2016, 2003, 4709, 2000, 1996, 2168, 5770, 2004, 2984, 1038, 1012, 1010, 2010, 2564, 2012, 1996, 2051, 1997, 2010, 2331, 1012, 1017, 2049, 2597, 2003, 2008, 2169, 2323, 4374, 6666, 2012, 1996, 2168, 3446, 3581, 2052, 2031, 1012, 1996, 9964, 2545, 7475, 2006, 1996, 2060, 2192, 2008, 2169, 2323, 4374, 2069, 4293, 1003, 1997, 3581, 1005, 1055, 4372, 3775, 24007, 1010, 8335, 2007, 1996, 2079, 2140, 6410, 1999, 3466, 2012, 1996, 2051, 2002, 2351, 1012, 1019, 1996, 2079, 2140, 1005, 1055, 5317, 3067, 1006, 2304, 11192, 6666, 2552, 1007, 7709, 6410, 1010, 10381, 1012, 1016, 1011, 7706, 1010, 1022, 1006, 1038, 1007, 1010, 1006, 13114, 1012, 3150, 1007, 1010, 2856, 2008, 6666, 2005, 2062, 2084, 2028, 6405, 7794, 2022, 10174, 1999, 1996, 2168, 5450, 2004, 2005, 2062, 2084, 2028, 6405, 2775, 1012, 2104, 1996, 3150, 6410, 1996, 5770, 2000, 2022, 4207, 2052, 2947, 2022, 10174, 2011, 2635, 1996, 3815, 1997, 1996, 10181, 18594, 1005, 1055, 3937, 5770, 1998, 5815, 2753, 1003, 2005, 2048, 8643, 1010, 4293, 1003, 2005, 2093, 8643, 1010, 2030, 2531, 1003, 2005, 2176, 2030, 2062, 8643, 1012, 2023, 19335, 5770, 2052, 2059, 2022, 4207, 2011, 1996, 8643, 1010, 1998, 1996, 18594, 1005, 1055, 6405, 2564, 1998, 6405, 9196, 2564, 2052, 2169, 4374, 4293, 1003, 1997, 1996, 3937, 5770, 1006, 1045, 1012, 1041, 1012, 1010, 1006, 2531, 1003, 1009, 2753, 1003, 1007, 1013, 1016, 1007, 1012, 1020, 2043, 3581, 2351, 1999, 2901, 1010, 1996, 2079, 2140, 3018, 2119, 2984, 1040, 1012, 1998, 2984, 1038, 1012, 2531, 1003, 1997, 1996, 3937, 5770, 2612, 1997, 20177, 1996, 6666, 2429, 2000, 1996, 4118, 1999, 1996, 3150, 6410, 1012, 2214, 3072, 6430, 2000, 3477, 1996, 2440, 3815, 1010, 6815, 2008, 1996, 2079, 2140, 1005, 1055, 17208, 2001, 16542, 1012, 1996, 2079, 2140, 2059, 3024, 9964, 2545, 2007, 1037, 6100, 1997, 2019, 4722, 2997, 20336, 2013, 1996, 2472, 1997, 1996, 2436, 1997, 3667, 1005, 9430, 3454, 1006, 1037, 3131, 2306, 1996, 2079, 2140, 1007, 2000, 2019, 3353, 3187, 1012, 2256, 2501, 2515, 2025, 2421, 1037, 6100, 1997, 2023, 20336, 1010, 2021, 2515, 5383, 9964, 2545, 1005, 3433, 2000, 1996, 2472, 1012, 2037, 3433, 7127, 2008, 1996, 4722, 20336, 4081, 2008, 1999, 1996, 3166, 1005, 1055, 5448, 1996, 2552, 2071, 2022, 10009, 2593, 2126, 1010, 2008, 1996, 2079, 2140, 2018, 2787, 2000, 2689, 2049, 3343, 2000, 23758, 2000, 2008, 1997, 1996, 2591, 3036, 3447, 1006, 7020, 2050, 1007, 1010, 1018, 1998, 2008, 2009, 2052, 6611, 2049, 2047, 7613, 22307, 19620, 2135, 1012, 1996, 2472, 1005, 1055, 27918, 5836, 2008, 1037, 2997, 3319, 1997, 1996, 12711, 18574, 1010, 7040, 1010, 1998, 4884, 2381, 2018, 2419, 2000, 1996, 7091, 2008, 1996, 4493, 3627, 2001, 1000, 4895, 6528, 3085, 1010, 1000, 1019, 1998, 2008, 2004, 1037, 2765, 1996, 2079, 2140, 2904, 2049, 3218, 1012, 2023, 2128, 13331, 7630, 3370, 1998, 2689, 1997, 3218, 2419, 2000, 1996, 4772, 1999, 2826, 1997, 1037, 8001, 5317, 3067, 1006, 2304, 11192, 6666, 2552, 1007, 7709, 6410, 2029, 3090, 1996, 2047, 3627, 2008, 1000, 1037, 6405, 18591, 1998, 1037, 6405, 9196, 18591, 1031, 2024, 1033, 2119, 1012, 1012, 1012, 4709, 2000, 2440, 3937, 6666, 4606, 2440, 15476, 3672, 3370, 1012, 1000, 5317, 3067, 1006, 2304, 11192, 6666, 2552, 1007, 7709, 6410, 1010, 10381, 1012, 1016, 1011, 7706, 1010, 1022, 1006, 1042, 1007, 1010, 1006, 11703, 1012, 2826, 1007, 1012, 1021, 9964, 2545, 2106, 2025, 5049, 2008, 6666, 2020, 2349, 2119, 2308, 1012, 2984, 1038, 1012, 4591, 2005, 6666, 2004, 1037, 6405, 18591, 2144, 2016, 2018, 2042, 2496, 2000, 3581, 2012, 1996, 2051, 1997, 2010, 2331, 1998, 2001, 2025, 19316, 1010, 1998, 2984, 1040, 1012, 4591, 2005, 6666, 2004, 1037, 6405, 9196, 18591, 2144, 2016, 2018, 2042, 2496, 2000, 3581, 2005, 2012, 2560, 2702, 2086, 1998, 2363, 6937, 12194, 2490, 2013, 2032, 1012, 9964, 2545, 5275, 2000, 1996, 2079, 2140, 1010, 2174, 1010, 2008, 1996, 2689, 1999, 7794, 5770, 6661, 2001, 1037, 27737, 2689, 1998, 3568, 3223, 5060, 1998, 7615, 3627, 2437, 1012, 1999, 2089, 2901, 1996, 2079, 2140, 2741, 1037, 3661, 2000, 2214, 3072, 5517, 1024, 1000, 2012, 2023, 2051, 1010, 2017, 2323, 2175, 3805, 1998, 1000, 2191, 10504, 2104, 1996, 2214, 3627, 1010, 1998, 1996, 2079, 2140, 2052, 1000, 2131, 2067, 2000, 2017, 2012, 1037, 2101, 3058, 4953, 1037, 3247, 2006, 2023, 3043, 1012, 1000, 2214, 3072, 2059, 2211, 7079, 2984, 1040, 1012, 1998, 2984, 1038, 1012, 7058, 6666, 1998, 24964, 14905, 28393, 2094, 2068, 2005, 1996, 4771, 2254, 2083, 2258, 10504, 1025, 2035, 1997, 2122, 6666, 2020, 10174, 2478, 1996, 2214, 3627, 1012, 2006, 2238, 1015, 1010, 2826, 1010, 1996, 2079, 2140, 3641, 20004, 2000, 2191, 2035, 2925, 10504, 2429, 2000, 1996, 2047, 3627, 1998, 2000, 3277, 27024, 14148, 2005, 1996, 3815, 2104, 4502, 3593, 2013, 2254, 2901, 2083, 2089, 2826, 1012, 1996, 9964, 2545, 4188, 2000, 3477, 1996, 3176, 3815, 1010, 1998, 2927, 2007, 1996, 2251, 2826, 5770, 1010, 1996, 2079, 2140, 2211, 6016, 7058, 14148, 2000, 2984, 1040, 1012, 1998, 2984, 1038, 1012, 2005, 1996, 4489, 1999, 6666, 2008, 1996, 9964, 2545, 2018, 4188, 2000, 3477, 1012, 1996, 2079, 2140, 2036, 2830, 2098, 1996, 3043, 2005, 1037, 4994, 1012, 1022, 2019, 3831, 2375, 3648, 1006, 2632, 3501, 1007, 5451, 2114, 20004, 1010, 1020, 16228, 2008, 1996, 2079, 2140, 2018, 7919, 3223, 1037, 2440, 3937, 5770, 2005, 2169, 7794, 1012, 1996, 2632, 3501, 5531, 2008, 1996, 2079, 2140, 3343, 2001, 8335, 2007, 7740, 7848, 1010, 2008, 5060, 1998, 7615, 3627, 2437, 2001, 2025, 3223, 2138, 1996, 3627, 2689, 2001, 17841, 8082, 1010, 1998, 2008, 1996, 2079, 2140, 2018, 2025, 4162, 1037, 2047, 3627, 22307, 19620, 2135, 2138, 2009, 2018, 3432, 13371, 1037, 3025, 28616, 18447, 2121, 28139, 12516, 1997, 18574, 1998, 7040, 1012, 1996, 2632, 3501, 3641, 20004, 2000, 3477, 2119, 2984, 1040, 1012, 1998, 2984, 1038, 1012, 1996, 2440, 3937, 5770, 1998, 2000, 24964, 14905, 28393, 1996, 2079, 2140, 2005, 1996, 8310, 2009, 2018, 3825, 2000, 1996, 24835, 1012, 20004, 1998, 2214, 3072, 12068, 1996, 3247, 1998, 2344, 2000, 1996, 6666, 3319, 2604, 1006, 7987, 2497, 1007, 1012, 1996, 7987, 2497, 19768, 1999, 2112, 1998, 15348, 1999, 2112, 1012, 2009, 19768, 1996, 2632, 3501, 1005, 1055, 3247, 2008, 7079, 1037, 2440, 3937, 5770, 2000, 2119, 24835, 2001, 5372, 2104, 1996, 2552, 1010, 2021, 2128, 2386, 5732, 1996, 2553, 2005, 1996, 2632, 3501, 2000, 2128, 10288, 19915, 3251, 1996, 3627, 2689, 2001, 17841, 8082, 2030, 27737, 2104, 1996, 1000, 6937, 4254, 3231, 1000, 1999, 2137, 28678, 14536, 1012, 1010, 4297, 1012, 1058, 1012, 2604, 1997, 11141, 1997, 7349, 1012, 24501, 1012, 25353, 2015, 1012, 1010, 2753, 2683, 1042, 1012, 14134, 2756, 1010, 3943, 1006, 5893, 25022, 2099, 1012, 3326, 1007, 1012, 1023, 2044, 20253, 9964, 2545, 1005, 9918, 1999, 2422, 1997, 2137, 28678, 14536, 1012, 1010, 1996, 2632, 3501, 3843, 1037, 27024, 3247, 1998, 2344, 19222, 29336, 2075, 2010, 3041, 3247, 1998, 2344, 1012, 9964, 2545, 1005, 4367, 2005, 28667, 5644, 18688, 3370, 2001, 6380, 1010, 1998, 2027, 12068, 2000, 1996, 7987, 2497, 1010, 2029, 19768, 1012, 20004, 1998, 2214, 3072, 2059, 6406, 2023, 9964, 2005, 3319, 1012, 2462, 1012, 2184, 9964, 2545, 7475, 2006, 5574, 2008, 1996, 3627, 1996, 2079, 2140, 4162, 2000, 5646, 6666, 2005, 3581, 1005, 1055, 6405, 24835, 2003, 10043, 2000, 1996, 3876, 7613, 1997, 1996, 11671, 2004, 7686, 1999, 1996, 3150, 2079, 2140, 7709, 6410, 1012, 2027, 2036, 7475, 2008, 1996, 2047, 3627, 2003, 27737, 2738, 2084, 17841, 8082, 1010, 2156, 1019, 1057, 1012, 1055, 1012, 1039, 1012, 4583, 2509, 1006, 1038, 1007, 1006, 1017, 1007, 1006, 1037, 1007, 1010, 2061, 1996, 2079, 2140, 14424, 1996, 3831, 7709, 2552, 2138, 2009, 2106, 2025, 2031, 3691, 2000, 2820, 1996, 3627, 2302, 2478, 1996, 5060, 1998, 7615, 8853, 3223, 2011, 1019, 1057, 1012, 1055, 1012, 1039, 1012, 4583, 2509, 1012, 1021, 2633, 1010, 2027, 7475, 2008, 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, 2144, 2602, 2154, 1010, 9209, 2031, 2973, 2006, 11780, 2051, 1012, 1996, 2120, 4450, 4262, 2604, 1006, 17953, 15185, 1007, 1010, 2029, 2038, 7262, 3691, 2058, 2116, 3145, 3980, 1997, 4450, 2375, 1010, 2003, 2145, 4758, 2011, 8037, 1517, 2947, 25553, 3667, 1998, 2037, 9209, 2013, 4491, 2008, 2150, 2521, 2066, 14355, 1996, 2617, 6221, 8398, 2001, 4161, 1996, 3453, 1997, 1996, 2355, 2602, 1012, 2021, 2023, 2558, 1997, 6970, 2890, 16206, 2819, 2003, 2055, 2000, 2203, 1012, 4001, 3484, 3003, 11857, 28514, 1006, 1054, 1011, 18712, 1007, 2211, 1996, 2832, 1997, 19195, 1996, 2034, 1997, 8398, 1521, 1055, 2048, 17853, 2000, 1996, 17953, 15185, 2006, 6928, 1012, 2043, 2119, 17853, 4133, 2006, 1996, 2604, 1010, 1037, 9170, 4897, 5963, 1997, 2586, 2916, 2003, 3497, 1012, 2004, 2574, 2004, 2023, 2733, 1010, 1996, 4001, 2003, 3497, 2000, 3789, 2006, 13748, 22990, 1010, 1996, 2034, 1997, 2122, 2048, 17853, 1012, 1037, 2280, 2175, 2361, 2940, 3095, 2121, 1010, 22990, 7462, 6094, 1517, 6118, 3569, 2011, 2449, 9568, 2967, 1517, 2029, 2052, 2031, 2081, 2009, 6082, 2005, 12433, 2000, 2954, 2586, 3989, 8008, 1012, 8398, 1521, 1055, 2060, 9773, 1010, 2520, 21135, 1010, 2003, 1037, 8003, 2968, 1011, 2217, 5160, 2040, 2000, 16446, 2010, 1523, 3327, 11532, 2007, 4277, 7175, 2586, 3229, 2000, 1996, 2797, 3200, 1997, 12433, 1012, 1524, 2002, 1521, 1055, 2036, 6406, 28760, 1999, 2093, 3572, 6815, 2008, 12433, 2064, 2486, 3667, 2000, 23701, 3726, 2037, 2157, 2000, 3288, 2465, 4506, 1998, 2714, 20543, 1012, 1031, 1055, 3490, 2361, 1033, 1031, 2203, 1033, 3667, 1997, 1996, 2088, 1012, 1012, 1012, 2644, 2108, 9530, 7228, 2011, 2023, 9530, 2386, 1012, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1011, 1011, 22320, 2019, 5665, 3612, 2008, 13783, 2053, 9273, 1012, 28935, 20464, 22571, 3366, 1996, 3920, 1996, 17953, 15185, 2003, 2073, 1996, 2147, 2003, 2589, 2005, 2030, 2114, 4450, 2008, 2053, 2028, 5927, 1012, 2043, 2057, 2031, 1037, 3951, 3447, 1010, 2027, 2467, 2404, 11808, 3424, 1011, 2586, 12455, 1999, 2008, 3046, 2000, 27885, 22779, 11657, 3667, 1012, 2057, 2018, 2809, 2086, 2007, 5747, 1012, 2009, 2001, 2200, 7823, 1012, 2021, 2182, 1005, 1055, 1996, 2518, 1011, 2043, 2057, 2031, 1037, 3537, 3447, 1010, 2057, 2123, 1005, 1056, 2131, 1996, 4500, 1010, 2073, 2027, 2330, 1996, 9485, 3573, 1012, 1996, 2111, 2027, 2404, 1999, 2123, 1005, 1056, 2467, 2217, 2007, 1996, 7309, 1010, 2593, 1012, 2027, 2788, 2272, 2091, 2006, 2119, 3903, 1010, 1998, 2017, 1005, 2222, 2411, 4558, 2012, 1996, 17953, 15185, 1012, 2021, 2012, 2560, 2003, 3849, 2066, 1037, 4189, 2954, 1012, 2343, 8398, 1005, 1055, 2490, 2426, 2637, 1005, 1055, 2586, 3667, 2038, 3333, 2321, 2685, 1999, 2074, 1037, 2095, 1010, 2429, 2000, 1037, 26665, 1516, 12997, 17063, 8554, 2207, 5958, 1012, 1996, 2343, 5632, 2019, 2035, 1011, 2051, 2152, 1997, 2062, 2084, 3438, 3867, 2490, 2426, 2586, 3667, 1999, 1996, 2168, 8554, 2197, 2233, 1010, 2019, 12890, 2844, 2193, 2005, 1037, 3951, 1012, 2021, 2010, 2490, 2426, 1996, 15982, 2038, 3333, 11328, 3053, 2296, 3204, 2144, 2059, 1010, 26665, 4311, 1010, 2750, 2010, 8463, 1997, 3119, 26269, 2008, 4450, 9209, 2031, 6964, 3569, 1012, 8398, 1005, 1055, 2490, 2426, 2586, 3667, 2085, 7719, 2012, 4700, 3867, 1010, 2091, 2013, 2049, 2035, 1011, 2051, 2152, 1997, 5786, 3867, 1010, 2429, 2000, 1996, 8554, 1012, 2258, 3616, 2031, 2025, 2664, 2042, 2207, 1012, 1037, 10629, 2207, 2011, 26665, 3964, 2008, 8398, 11121, 2000, 2663, 2586, 6793, 1999, 2752, 1997, 1996, 2406, 1010, 2107, 2004, 1996, 4943, 1998, 1996, 3792, 2015, 1010, 2073, 2586, 3667, 2191, 2039, 1037, 3760, 7017, 1997, 1996, 3452, 14877, 1012, 1031, 1055, 3490, 2361, 1033, 1031, 2203, 1033, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1011, 1011, 22320, 2019, 5665, 3612, 2008, 13783, 2053, 9273, 1012, 28935, 20464, 22571, 3366, 1996, 3920, 1037, 2047, 8554, 3065, 2008, 1996, 3484, 1997, 2137, 7206, 4033, 1005, 1056, 4384, 2019, 3623, 1999, 2037, 3477, 5403, 10603, 2138, 1997, 1996, 3951, 4171, 7659, 1010, 2029, 2253, 2046, 3466, 2023, 2254, 1012, 1996, 14955, 18291, 2080, 1998, 2851, 23363, 8554, 2988, 2008, 4583, 3867, 1997, 25094, 2018, 2025, 4384, 2151, 14523, 1999, 2037, 3477, 5403, 10603, 2058, 1996, 1523, 1996, 2627, 2195, 3134, 1012, 1524, 2055, 2570, 3867, 2018, 4384, 2019, 3623, 1010, 1998, 2603, 3867, 4694, 1005, 1056, 2469, 1012, 1999, 2337, 1010, 2069, 4868, 3867, 1997, 2216, 12876, 2056, 2037, 3477, 5403, 10603, 2018, 2025, 3445, 1012, 1999, 4507, 1010, 2116, 4841, 2387, 1037, 2978, 2062, 2769, 1999, 2037, 14148, 1999, 2337, 2138, 1997, 1996, 4171, 2933, 1012, 2005, 2309, 2111, 2437, 2090, 1002, 4805, 1010, 2199, 1998, 1002, 17832, 1010, 2199, 1010, 2037, 12170, 1011, 4882, 3477, 5403, 10603, 2020, 4358, 2000, 3623, 2011, 5560, 1002, 2871, 2000, 1002, 11827, 1012, 1523, 2057, 10197, 2008, 3938, 3867, 1997, 11897, 7796, 2545, 2097, 3325, 2019, 3623, 1999, 2037, 2202, 2188, 3477, 1010, 1524, 1057, 1012, 1055, 1012, 9837, 3187, 7112, 24098, 15217, 2078, 2056, 1999, 2254, 1012, 1523, 2122, 4171, 7659, 2097, 5676, 2008, 2137, 3667, 2024, 2583, 2000, 2562, 2062, 1997, 2037, 2524, 3687, 3318, 1998, 5630, 2129, 2000, 5247, 1010, 15697, 2030, 3828, 2009, 1012, 1524, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1996, 2502, 2739, 1999, 2023, 2851, 1521, 1055, 5841, 3189, 2003, 2008, 1996, 12163, 3446, 13011, 2091, 2000, 1017, 1012, 1023, 3867, 1010, 1996, 2034, 2051, 2009, 2038, 2908, 2917, 1018, 1012, 1014, 3867, 2144, 2456, 1012, 6854, 1010, 2023, 16510, 2001, 5642, 2011, 1037, 2991, 1999, 4450, 2486, 6577, 1012, 1999, 2060, 2616, 1010, 2009, 3062, 2005, 1996, 1523, 3308, 1524, 4436, 1517, 2025, 2138, 1997, 1037, 12058, 1999, 1996, 2193, 1997, 2111, 2893, 5841, 1010, 2021, 2138, 1997, 1037, 4125, 1999, 1996, 2193, 1997, 2111, 2041, 1997, 1996, 4450, 2486, 1012, 2119, 1996, 4450, 2486, 6577, 3446, 1998, 1996, 6107, 1011, 2000, 1011, 2313, 6463, 26019, 2091, 1014, 1012, 1015, 7017, 2685, 1012, 3810, 2000, 1996, 26854, 5002, 1010, 1996, 4610, 2794, 17943, 1010, 2199, 5841, 2197, 3204, 1012, 2035, 2409, 1010, 2779, 7058, 3105, 4325, 2058, 1996, 2627, 2095, 2003, 11827, 1010, 2199, 1012, 2044, 1037, 3020, 1011, 2084, 1011, 3517, 2337, 1998, 1037, 2896, 1011, 2084, 1011, 3517, 2233, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 9810, 1006, 26665, 1007, 1011, 5635, 1999, 1996, 2142, 2163, 2003, 4866, 1998, 2784, 7406, 2104, 1996, 8398, 3447, 3005, 6043, 4025, 6461, 2012, 9268, 1996, 3808, 5658, 2013, 8817, 1997, 3532, 2111, 1010, 2096, 10377, 2075, 1996, 4138, 1010, 1037, 1057, 1012, 1050, 1012, 2529, 2916, 14064, 2038, 2179, 1012, 5170, 25520, 2669, 1010, 1057, 1012, 1050, 1012, 2569, 9680, 6442, 11236, 2006, 6034, 5635, 1010, 2170, 2006, 1057, 1012, 1055, 1012, 4614, 2000, 3073, 5024, 2591, 3860, 1998, 4769, 10318, 3471, 1010, 2738, 2084, 1000, 16385, 2075, 1998, 17727, 6935, 13369, 1996, 3532, 1000, 1012, 2096, 7574, 6666, 1998, 3229, 2000, 2740, 5427, 2024, 2108, 23587, 1010, 2343, 6221, 8398, 1005, 1055, 4171, 5290, 2038, 3018, 1000, 3361, 3612, 28067, 1000, 2000, 1996, 13164, 1011, 4138, 1998, 2312, 3316, 1010, 2582, 4852, 16440, 1010, 2002, 2056, 1999, 1037, 3189, 1012, 1057, 1012, 1055, 1012, 6043, 2144, 2343, 23037, 3779, 1005, 1055, 2162, 2006, 5635, 1999, 1996, 4120, 2031, 2042, 1000, 19046, 3993, 2012, 2190, 1010, 1000, 2002, 2056, 1012, 1000, 2021, 1996, 6043, 9505, 2058, 1996, 2627, 2095, 4025, 9969, 2881, 2000, 6366, 3937, 28548, 2013, 1996, 3532, 4355, 1010, 16385, 2216, 2040, 2024, 2025, 1999, 6107, 1998, 2191, 2130, 3937, 2740, 2729, 2046, 1037, 14293, 2000, 2022, 3687, 2738, 2084, 1037, 2157, 1997, 9068, 1010, 1000, 25520, 2669, 2056, 1012, 2471, 4601, 2454, 2111, 2030, 2260, 1012, 1021, 3867, 2444, 1999, 5635, 1010, 2324, 1012, 1019, 2454, 1999, 6034, 5635, 1010, 1998, 2336, 4070, 2005, 2028, 1999, 2093, 3532, 1010, 2002, 2056, 1012, 1996, 2142, 2163, 2038, 1996, 3284, 3360, 5635, 3446, 2426, 3919, 3550, 3032, 1010, 2002, 2794, 1012, 1000, 2049, 4480, 2444, 7820, 1998, 5305, 2121, 3268, 4102, 2000, 2216, 2542, 1999, 2035, 2060, 4138, 9703, 26775, 20499, 1010, 3690, 14808, 3085, 5133, 7870, 2024, 6233, 15157, 1998, 2009, 2038, 1996, 2088, 1005, 1055, 3284, 27523, 19170, 8156, 3446, 1012, 1012, 1012, 1998, 1996, 3284, 24552, 3798, 1999, 1996, 2764, 2088, 1010, 1000, 25520, 2669, 2056, 1012, 1031, 1055, 3490, 2361, 1033, 2009, 2003, 2241, 2006, 2010, 3260, 1999, 2285, 2000, 2195, 1057, 1012, 1055, 1012, 2163, 1010, 2164, 3541, 6041, 1010, 1037, 22889, 2819, 1999, 5116, 3050, 3349, 1010, 2662, 1010, 1998, 1996, 1057, 1012, 1055, 1012, 3700, 1997, 5984, 7043, 1012, 8951, 1000, 9467, 3993, 6747, 1000, 5799, 2000, 4372, 7913, 19282, 5762, 9147, 1010, 25520, 2669, 2056, 2008, 3060, 4841, 2024, 1016, 1012, 1019, 2335, 2062, 3497, 2084, 12461, 2000, 2444, 1999, 5635, 1998, 2037, 12163, 3446, 2003, 2062, 2084, 3313, 1012, 2308, 1010, 6696, 2015, 1010, 7489, 1010, 1998, 6284, 2111, 2036, 9015, 2152, 6165, 1012, 2012, 2560, 13274, 1010, 2199, 2111, 2024, 11573, 1999, 2637, 1010, 2002, 2056, 1012, 1000, 1996, 4171, 5290, 2097, 4788, 2078, 2023, 3663, 1998, 5676, 2008, 1996, 2142, 2163, 3464, 1996, 2087, 16655, 26426, 2554, 1999, 1996, 2764, 2088, 1010, 1000, 25520, 2669, 2056, 1012, 1000, 1996, 3740, 6918, 7659, 1999, 7574, 2097, 7687, 14021, 5596, 10232, 9646, 1997, 1037, 3808, 5658, 2008, 2003, 2525, 2440, 1997, 8198, 1012, 1000, 1996, 4171, 18181, 1010, 2029, 7434, 2083, 1996, 3951, 1011, 4758, 1057, 1012, 1055, 1012, 3519, 1999, 2285, 1010, 8642, 3013, 1996, 2327, 5971, 3446, 2000, 2538, 3867, 2013, 3486, 3867, 1012, 4171, 7659, 2005, 3633, 1010, 2174, 1010, 2024, 5741, 1998, 4654, 20781, 2044, 16798, 2629, 1012, 1031, 1055, 3490, 2361, 1033, 1031, 2203, 1033, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1011, 1011, 22320, 2019, 5665, 3612, 2008, 13783, 2053, 9273, 1012, 28935, 20464, 22571, 3366, 1996, 3920, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 2116, 1997, 2122, 12455, 2024, 1996, 3842, 1005, 1055, 2775, 2729, 3667, 1010, 2188, 2740, 14895, 2015, 1010, 2436, 16838, 1998, 3573, 26706, 1010, 2040, 2147, 2659, 1011, 7079, 5841, 1998, 2031, 2210, 10995, 1010, 1996, 2817, 3264, 1012, 2070, 5764, 1003, 1997, 5841, 1999, 1996, 2149, 3477, 2625, 2084, 1002, 2322, 2019, 3178, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1999, 1037, 5171, 2197, 1011, 3371, 25740, 1010, 5553, 15361, 2063, 23524, 1010, 1037, 2570, 1011, 2095, 1011, 2214, 29500, 22466, 9153, 1998, 2309, 2388, 1010, 20378, 2362, 1037, 2933, 2005, 6405, 1996, 3204, 1997, 2251, 2302, 4292, 2125, 2155, 2030, 3361, 7071, 1012, 1999, 5688, 2000, 1996, 6569, 3238, 2147, 2016, 2018, 2589, 2012, 1037, 7922, 3392, 3573, 1998, 1037, 1047, 11329, 6329, 1010, 1996, 1002, 1023, 1011, 2019, 1011, 3178, 29500, 3105, 2435, 5796, 1012, 23524, 1010, 1996, 2684, 1997, 1037, 4319, 26855, 1998, 2019, 9962, 4402, 2269, 1010, 1996, 3246, 1997, 2830, 4367, 1012, 2016, 2018, 2042, 5086, 2138, 2016, 3662, 2039, 2061, 2116, 2335, 1010, 18350, 1998, 14516, 1010, 4851, 2005, 2147, 1010, 1998, 2016, 2018, 1037, 2126, 1997, 26259, 2185, 2275, 12221, 1517, 2107, 2004, 1037, 4771, 3902, 2006, 2014, 2093, 1011, 3178, 4012, 26746, 1517, 2007, 1996, 7655, 1010, 1523, 1045, 1521, 1049, 2058, 2009, 1012, 1524, 4397, 2125, 2270, 5375, 1010, 2016, 2001, 2074, 1037, 2261, 6495, 11004, 1997, 2019, 5482, 3014, 1999, 2449, 1998, 5720, 1997, 2893, 1037, 3040, 1521, 1055, 3014, 2004, 2070, 1997, 2014, 2522, 1011, 3667, 2020, 1012, 2014, 2202, 1011, 2188, 3477, 6524, 9370, 1002, 4278, 2000, 1002, 3156, 2296, 2048, 3134, 1025, 2144, 3225, 1999, 2281, 1010, 2016, 2018, 2275, 4998, 1002, 7706, 2646, 1037, 2482, 1517, 2014, 2279, 3357, 2646, 9211, 1998, 4336, 2005, 2841, 1998, 2014, 1018, 1011, 2095, 1011, 2214, 2365, 1010, 9448, 1012, 2021, 5796, 1012, 23524, 1521, 1055, 19857, 6593, 24133, 2847, 1010, 4117, 2007, 2014, 3132, 4219, 1010, 2018, 2036, 2357, 2037, 3268, 2046, 1037, 11888, 5325, 2058, 1996, 5119, 1012, 2016, 6524, 4342, 2014, 6134, 2062, 2084, 2093, 2420, 2077, 1996, 2707, 1997, 1037, 2147, 28075, 1010, 29059, 2014, 2046, 13661, 28961, 19672, 2058, 2040, 2052, 3422, 1996, 2879, 1012, 2706, 2044, 3225, 1996, 3105, 2016, 2333, 2041, 1997, 2014, 5916, 1521, 1055, 2188, 1010, 1999, 2112, 2138, 1997, 15986, 15012, 2058, 1996, 24122, 6134, 1010, 2029, 1996, 5916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2634, 2038, 2081, 3278, 22215, 1999, 9871, 2058, 1996, 2197, 5476, 1010, 2007, 3145, 20390, 1997, 2740, 13105, 4760, 4417, 7620, 1012, 2166, 5987, 11656, 2038, 3445, 2011, 2471, 2176, 2086, 2076, 2023, 2558, 1010, 2013, 4185, 1012, 1018, 2086, 1999, 2384, 2000, 6273, 1012, 1017, 2086, 1999, 2325, 1012, 1996, 3446, 1997, 10527, 13356, 2038, 6430, 2013, 5401, 6677, 2566, 1015, 1010, 2199, 2444, 18250, 1999, 2384, 2000, 4261, 20871, 2566, 1015, 1010, 2199, 2444, 18250, 2747, 1012, 27891, 1997, 2740, 6502, 2038, 14613, 1517, 1996, 2193, 1997, 12148, 18250, 3123, 2000, 6535, 1003, 1999, 2325, 1010, 2013, 4601, 1003, 1999, 2384, 1012, 5546, 1010, 2634, 2001, 4161, 14955, 3695, 1011, 2489, 1999, 2297, 1010, 1998, 8915, 5794, 2271, 1011, 2489, 1999, 2325, 1012, 2119, 1996, 2270, 1998, 2797, 11105, 2031, 5201, 2000, 5301, 2740, 13105, 1012, 2536, 2231, 11107, 2031, 27526, 4279, 2006, 2740, 1010, 1998, 9124, 3445, 3229, 2000, 2270, 2740, 2578, 2096, 12725, 3020, 27891, 1997, 2800, 6502, 1012, 2005, 2742, 1010, 3053, 7706, 1010, 2199, 2931, 2451, 2740, 7314, 1006, 24595, 2015, 1010, 2030, 11459, 2591, 2740, 10134, 1007, 2031, 2042, 7333, 1999, 3541, 2752, 2000, 2490, 10756, 2058, 1996, 2197, 5476, 1012, 1996, 6325, 1997, 2110, 1011, 6485, 5427, 11683, 4423, 2416, 10371, 2013, 2384, 2000, 2230, 1012, 1996, 2231, 1521, 1055, 10565, 1523, 25430, 6776, 2232, 1038, 28074, 11113, 4048, 7054, 1000, 4746, 8704, 2000, 3073, 2296, 4398, 2007, 3229, 2000, 18723, 2011, 10476, 1012, 2797, 1011, 4753, 8144, 1010, 5564, 1010, 2038, 6469, 2098, 1996, 14053, 1997, 10306, 1997, 8122, 1517, 2659, 1011, 3465, 2578, 2012, 2248, 4781, 1997, 3737, 1012, 2005, 2742, 1010, 9871, 3795, 9926, 5183, 1010, 1037, 4677, 1997, 4456, 2569, 3012, 8323, 1010, 23569, 27605, 11254, 3136, 2083, 1037, 9594, 1011, 1998, 1011, 3764, 9563, 1010, 3847, 6450, 3941, 1999, 2049, 9594, 2015, 1012, 6660, 1010, 9886, 1997, 2092, 1011, 4225, 16744, 2005, 2130, 4659, 3375, 8853, 2038, 5201, 2000, 1037, 4359, 3891, 1997, 10697, 1012, 13280, 11707, 8853, 2107, 2004, 6012, 1011, 2540, 5970, 1998, 15184, 2966, 5733, 2031, 8280, 2334, 7860, 1010, 1998, 3271, 3623, 3229, 2000, 9871, 1012, 2664, 1010, 2045, 2003, 3278, 2598, 2000, 3104, 2750, 2437, 6937, 5082, 2058, 1996, 2197, 5476, 1010, 2634, 2038, 4771, 2049, 10144, 2458, 3289, 2005, 9871, 1010, 1999, 3327, 2005, 11062, 1998, 2775, 13356, 6165, 1012, 2066, 2060, 4975, 3032, 1010, 2634, 5344, 1996, 7037, 10859, 1997, 4012, 23041, 5555, 3468, 7870, 1998, 2512, 1011, 4012, 23041, 5555, 3468, 7870, 1006, 13316, 5104, 1007, 1012, 2426, 4012, 23041, 5555, 3468, 7870, 1010, 16464, 15245, 1010, 15877, 1998, 22939, 12171, 14490, 2389, 7870, 3961, 2877, 5320, 1997, 2331, 1012, 13316, 5104, 4070, 2005, 2055, 4720, 1003, 1997, 2561, 10859, 1998, 3438, 1003, 1997, 6677, 1999, 1996, 2406, 1012, 2231, 20700, 2006, 9871, 1517, 2012, 2105, 1015, 1012, 1017, 1003, 1997, 7977, 4968, 4031, 1006, 14230, 1007, 2747, 1517, 6022, 2474, 5620, 5662, 5166, 5649, 16169, 2015, 2108, 2081, 2011, 8152, 3032, 1010, 4358, 2000, 2022, 2090, 1017, 1003, 1998, 1018, 1003, 1997, 14230, 1012, 2270, 2740, 6502, 1998, 3095, 11343, 1999, 2634, 2024, 24185, 12879, 18083, 2100, 2460, 1997, 3116, 5025, 5157, 1012, 2005, 6013, 1010, 1996, 2406, 5344, 1037, 3053, 2753, 1003, 2460, 13976, 1999, 1996, 4425, 1997, 7435, 1010, 2007, 1996, 3460, 1011, 2000, 1011, 5776, 6463, 1997, 1014, 1012, 5401, 2566, 1015, 1010, 2199, 2108, 1010, 2471, 5187, 1003, 2896, 2084, 1996, 5662, 6463, 1997, 1015, 1012, 1016, 2566, 1015, 1010, 2199, 1999, 1996, 2779, 4004, 4975, 4610, 1012, 5678, 1010, 2045, 2003, 3278, 3164, 8386, 1998, 1999, 2063, 15549, 3723, 1010, 2007, 22623, 2108, 2087, 11325, 1999, 1996, 2642, 1998, 2789, 2163, 1012, 4942, 7361, 3775, 9067, 27891, 1998, 27988, 1999, 1996, 6032, 1997, 18782, 2270, 9871, 4128, 2765, 1999, 1996, 2313, 18345, 2006, 6450, 2797, 9871, 1517, 2019, 3277, 4654, 10732, 28483, 3064, 2011, 11113, 7274, 9067, 3798, 1997, 5427, 6325, 1012, 2096, 2119, 1996, 2270, 1998, 2797, 11105, 2031, 10607, 2116, 4405, 11107, 2478, 2047, 6786, 1998, 4082, 4275, 1010, 3904, 1997, 2122, 13252, 2038, 2042, 2881, 2005, 4094, 1012, 10615, 1997, 2312, 2270, 2740, 8497, 3464, 5410, 1010, 2877, 2000, 2625, 1011, 2084, 1011, 15502, 4254, 1012, 10910, 1996, 9059, 2740, 13105, 1010, 2947, 1010, 3464, 1037, 10368, 3125, 1012, 4526, 11679, 19699, 8649, 2015, 2005, 9084, 2740, 3001, 2005, 2740, 3001, 2458, 1999, 2634, 1010, 3343, 12088, 2442, 5454, 2028, 1997, 2048, 10425, 1024, 1996, 5220, 1010, 2021, 12401, 1010, 6450, 1998, 4895, 13203, 18249, 3085, 4130, 4217, 2011, 2764, 18730, 1010, 2030, 2019, 14613, 12732, 2008, 5260, 2000, 1037, 9084, 2925, 1012, 2206, 1996, 2092, 1011, 6247, 4130, 1997, 3935, 3032, 2064, 2599, 2000, 5938, 2004, 2152, 2004, 2459, 1003, 1997, 14230, 1010, 2004, 2003, 1996, 2553, 1999, 1996, 2149, 1010, 2007, 2069, 14785, 8377, 1999, 13105, 1012, 8361, 18730, 1010, 2164, 2634, 1010, 2052, 2022, 2092, 2872, 2000, 3582, 1996, 2117, 4130, 1012, 2122, 3032, 2031, 8491, 17727, 2098, 14428, 7666, 2000, 9462, 2084, 2764, 18730, 1010, 2164, 8491, 10417, 5366, 3141, 2000, 4493, 6502, 1998, 3941, 1010, 2896, 4964, 5366, 2013, 2025, 2311, 2058, 17695, 6305, 3012, 1010, 1998, 1037, 2625, 4055, 2270, 5448, 1012, 2027, 2036, 2031, 2012, 2037, 13148, 10660, 15463, 1010, 4522, 4082, 1998, 12135, 4275, 1010, 1998, 3423, 7705, 2015, 2008, 2020, 2025, 3130, 2800, 2000, 2764, 3032, 1012, 2036, 3191, 1064, 29455, 9871, 1999, 2634, 2009, 2003, 2007, 2023, 2801, 1999, 2568, 2008, 4647, 2290, 8678, 2007, 1996, 2088, 3171, 7057, 2058, 1037, 2093, 1011, 2095, 2051, 4853, 1006, 1996, 11679, 19699, 8649, 4726, 1999, 8361, 18730, 6349, 1007, 2000, 4503, 1037, 7570, 27348, 4824, 1997, 7860, 1999, 8361, 18730, 1998, 3443, 9942, 2000, 5676, 3001, 2024, 13732, 9084, 1010, 2096, 12771, 2152, 1011, 3737, 1010, 3465, 1011, 4621, 2729, 1012, 2005, 1996, 2796, 6123, 1010, 2057, 2052, 16755, 25169, 2039, 9871, 15463, 2030, 11679, 19699, 8649, 2015, 2004, 1037, 21053, 3921, 2000, 1996, 7552, 11107, 1010, 2029, 2024, 4072, 2021, 2025, 7182, 1012, 11679, 19699, 8649, 4726, 2965, 2478, 1037, 2047, 2974, 1010, 4082, 2944, 1010, 2030, 5418, 1997, 9164, 2000, 2393, 1037, 2291, 13558, 2458, 5711, 2008, 2018, 3130, 2042, 2641, 14477, 6767, 8524, 3468, 1012, 1523, 2974, 1000, 13974, 2047, 2740, 1011, 3141, 3450, 1998, 3688, 1012, 1523, 4082, 2944, 1000, 5218, 2000, 2151, 14080, 2593, 1999, 1996, 13296, 16437, 1010, 2030, 1999, 1996, 6959, 1997, 2740, 1011, 3141, 3450, 1012, 1523, 9164, 2389, 2689, 1000, 2566, 18249, 2015, 2000, 1996, 20607, 18394, 1998, 6204, 1997, 2536, 3265, 1998, 12148, 22859, 2306, 1996, 16927, 1010, 2107, 2004, 5022, 1010, 2740, 3667, 1998, 3477, 2545, 1012, 8144, 2105, 2122, 2093, 9646, 2064, 9585, 11679, 19699, 8649, 4726, 2408, 1996, 2698, 2367, 9646, 1997, 2740, 3001, 9675, 2011, 1996, 2088, 2740, 3029, 1012, 1037, 4438, 2742, 2003, 1996, 4955, 1997, 4684, 11640, 2408, 6556, 2752, 1997, 2634, 2008, 3039, 2111, 2542, 2045, 2000, 2128, 9331, 1996, 2591, 1998, 3171, 6666, 1997, 1996, 20831, 4329, 1010, 2096, 9992, 1996, 5294, 2041, 8485, 2015, 2920, 1999, 4964, 1011, 2240, 6502, 1012, 2116, 2107, 15463, 1999, 9871, 2525, 4839, 1999, 2634, 1517, 2070, 2012, 4094, 1010, 2004, 2092, 1006, 6523, 8327, 1015, 1007, 1012, 27363, 26743, 8553, 7860, 2004, 2649, 2682, 1010, 2116, 8079, 1997, 21470, 1998, 8144, 2024, 2108, 8461, 1999, 1996, 2796, 9871, 5957, 1010, 1998, 2045, 2003, 4022, 2000, 4094, 2039, 2122, 11107, 2005, 4526, 21100, 4697, 4254, 1012, 2174, 1010, 1999, 2256, 3325, 1010, 11679, 19699, 8649, 2015, 4050, 5082, 5901, 2083, 2220, 2458, 5711, 2000, 6947, 1997, 4145, 1010, 2069, 2000, 8246, 2096, 7161, 2000, 4094, 2039, 1012, 4094, 1011, 2039, 2003, 1996, 2087, 10368, 2754, 2138, 2009, 2064, 9125, 10605, 1010, 3361, 1998, 3006, 2346, 23467, 2015, 1010, 2062, 2061, 1999, 9871, 1010, 2144, 1996, 4753, 2003, 3375, 1010, 6123, 1011, 3563, 1010, 1998, 4603, 1012, 2061, 1010, 2054, 2515, 2009, 2202, 2000, 9510, 1029, 2057, 3273, 1996, 6622, 16910, 1997, 3674, 11679, 19699, 8649, 2015, 2408, 8361, 6089, 1010, 1998, 4453, 2416, 3145, 8220, 1024, 8133, 8144, 1999, 8050, 2529, 9164, 1024, 1037, 11679, 19699, 8649, 1521, 1055, 12854, 8281, 2323, 5574, 2000, 1037, 5415, 2529, 18275, 1012, 2023, 3084, 2151, 3223, 9164, 2389, 2689, 1010, 1998, 1996, 11679, 19699, 8649, 9886, 1010, 6082, 1012, 2005, 2742, 1010, 2591, 7885, 2011, 1996, 10298, 2474, 3775, 2546, 9389, 4402, 2140, 5635, 2895, 6845, 6614, 2000, 2689, 9164, 2015, 3141, 2000, 10047, 23041, 3989, 1999, 23261, 6195, 1037, 8050, 2529, 18275, 1517, 1037, 2388, 1521, 1055, 4792, 2000, 2552, 1999, 7927, 1997, 2014, 2775, 1012, 1037, 26700, 1997, 11107, 2003, 25505, 2689, 1010, 2164, 2512, 1011, 3361, 21134, 2005, 7678, 10047, 23041, 22318, 1010, 21727, 14764, 2015, 2006, 10047, 23041, 3989, 20283, 1998, 2893, 2352, 6125, 2000, 3659, 1996, 2773, 1012, 15581, 2000, 5788, 1010, 18612, 8757, 2000, 25220, 1024, 22701, 4082, 4275, 2000, 2334, 4279, 1012, 7661, 4697, 3688, 1998, 2578, 2004, 2734, 2000, 3623, 9886, 1012, 12098, 6371, 2094, 3239, 2729, 24908, 2046, 5814, 26721, 10085, 7934, 15072, 2007, 1037, 3193, 2000, 17731, 3795, 6089, 2083, 2049, 8740, 13153, 7875, 2015, 7506, 1010, 11847, 1022, 1003, 1997, 1996, 3795, 3006, 3745, 1997, 26721, 10085, 7934, 15072, 1012, 7861, 11452, 4279, 2000, 4338, 1998, 2219, 1996, 2944, 1024, 8627, 2451, 6095, 1997, 1996, 2944, 1010, 2612, 1997, 16151, 1037, 1523, 2327, 1011, 2091, 1000, 3921, 1012, 2023, 2097, 2765, 1999, 1037, 2172, 3020, 4254, 1010, 2349, 2000, 3618, 6624, 1997, 14868, 4198, 2451, 6818, 1012, 12018, 18098, 2075, 4499, 1523, 4432, 17633, 1000, 2013, 1996, 4279, 2008, 2009, 4240, 2000, 5452, 1037, 12702, 6329, 1010, 8932, 2013, 2352, 2000, 2352, 1998, 9283, 4432, 7958, 1010, 9361, 2159, 18743, 1998, 4855, 7877, 1012, 2036, 3191, 1064, 26997, 2989, 18608, 2000, 9871, 2005, 2035, 3857, 13797, 1024, 8851, 6148, 13797, 1010, 2130, 2648, 1996, 9871, 3068, 1998, 21155, 7882, 15463, 1012, 2005, 2742, 1010, 12702, 6132, 5397, 1006, 1037, 12702, 5427, 10802, 1007, 1998, 1038, 10686, 2072, 2250, 9834, 5183, 2031, 12404, 1999, 3053, 2809, 3060, 3032, 2000, 4888, 1037, 2740, 20438, 2933, 1012, 2250, 9834, 17073, 2024, 4709, 2000, 2740, 5427, 6325, 1010, 3024, 2027, 5247, 1037, 6263, 3815, 1997, 2250, 7292, 1012, 5427, 6325, 2003, 3495, 23900, 2000, 1996, 3815, 1037, 7325, 15970, 2006, 2250, 7292, 1012, 2250, 9834, 12778, 2005, 5427, 12882, 2015, 16396, 2011, 1996, 3445, 27891, 1997, 2049, 2578, 1012, 2005, 2105, 6564, 1003, 1997, 2250, 9834, 1013, 12702, 6132, 5397, 10390, 1010, 2023, 5679, 2001, 1996, 2034, 2051, 2027, 2018, 5427, 1997, 2151, 2785, 1012, 5676, 1523, 2640, 1011, 2000, 1011, 4094, 1000, 1024, 8851, 8526, 2007, 1996, 2231, 2000, 2640, 7300, 2008, 4539, 1996, 6578, 1999, 2270, 9871, 1998, 2064, 4094, 2039, 6464, 2306, 1996, 14679, 1997, 1996, 2270, 9871, 2291, 1012, 3169, 24595, 21852, 1996, 2451, 2000, 2958, 1996, 6578, 2090, 1996, 27322, 1998, 2231, 6502, 1999, 2416, 2796, 2163, 1998, 12899, 1012, 1996, 3029, 5826, 2007, 2634, 1521, 1055, 2231, 1011, 2448, 2120, 15877, 2491, 4746, 2008, 3640, 2489, 3949, 1998, 16474, 2015, 1010, 1998, 21155, 2015, 2974, 1998, 2451, 2740, 3667, 2000, 5676, 12646, 2007, 1996, 26419, 3949, 6939, 2078, 1012, 7863, 2135, 16157, 5082, 1010, 1998, 2607, 1011, 6149, 1024, 2275, 1996, 3192, 2005, 20001, 2951, 3074, 1998, 9312, 2076, 1996, 2458, 2754, 2993, 1012, 15873, 9651, 1997, 3145, 12046, 2015, 2097, 2393, 8526, 1996, 4986, 22859, 1010, 1998, 3747, 3431, 2000, 2729, 6959, 1012, 2013, 11679, 19699, 8649, 4726, 2000, 2740, 2291, 8651, 3144, 11679, 19699, 8649, 2015, 2064, 3073, 14388, 5770, 2000, 2037, 4279, 1012, 1037, 2092, 1011, 4217, 5257, 1997, 11679, 19699, 8649, 2015, 2071, 2036, 6643, 3726, 1996, 2126, 2005, 2019, 9523, 8651, 1997, 1996, 9871, 2291, 1012, 2174, 1010, 24590, 3973, 19920, 1999, 12702, 1011, 2504, 15463, 1010, 1998, 8074, 2068, 2000, 9174, 4982, 2046, 10938, 8082, 1998, 18678, 2740, 7300, 1010, 2003, 12479, 1012, 1996, 2797, 4753, 1999, 2634, 3464, 26872, 1012, 1996, 2270, 4753, 2145, 7711, 1996, 7006, 1521, 1055, 3745, 1997, 4219, 1012, 2664, 1010, 5166, 5649, 1998, 2576, 14679, 5787, 1996, 2110, 1521, 1055, 3977, 2000, 2022, 1996, 4062, 1997, 8144, 1012, 2119, 3903, 2342, 2000, 2147, 2362, 2000, 9462, 2037, 12546, 1012, 2270, 1011, 2797, 6792, 1999, 9871, 2038, 6964, 2042, 4708, 4208, 1517, 2593, 2000, 4425, 4942, 5332, 4305, 5422, 3688, 1998, 2578, 2030, 2000, 3857, 2740, 6502, 1012, 3151, 11583, 1997, 2270, 1011, 2797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2028, 1997, 1996, 2307, 7860, 1997, 5026, 1037, 2047, 4816, 4031, 2000, 3006, 2003, 9398, 5844, 1996, 2640, 2114, 1996, 5918, 1997, 1996, 6267, 4984, 2604, 1006, 7473, 2497, 1007, 5814, 2832, 1012, 1996, 4119, 2003, 11325, 2005, 1051, 6633, 2015, 2008, 2224, 7923, 2328, 2011, 2367, 3206, 8712, 2478, 2367, 6194, 1010, 2138, 2169, 2089, 2031, 2037, 2219, 3327, 2640, 3513, 1012, 2169, 1997, 1996, 3206, 8712, 4050, 3431, 1996, 2640, 2000, 2191, 2009, 2147, 2005, 2037, 2832, 1010, 1998, 10255, 2122, 3431, 2067, 1999, 1996, 5814, 4289, 2000, 1996, 1051, 6633, 1012, 1996, 1051, 6633, 2003, 2059, 4050, 3625, 2005, 28667, 2239, 6895, 2989, 1998, 9398, 5844, 3431, 2013, 3674, 8712, 1012, 2023, 2832, 2411, 14133, 6196, 2051, 1999, 1996, 2397, 5711, 1997, 1996, 4031, 2458, 5402, 1010, 2043, 3431, 2024, 2087, 6450, 1998, 1037, 6707, 2064, 3426, 1996, 4031, 2000, 3335, 1996, 3006, 3332, 1012, 1037, 2047, 4245, 1997, 2640, 2005, 5814, 5906, 3084, 2009, 2825, 2000, 9398, 3686, 1996, 2640, 2114, 2640, 3513, 1997, 2035, 6786, 1998, 8712, 2008, 2097, 2022, 2920, 2007, 1996, 4031, 1999, 1996, 2220, 5711, 1997, 1996, 4031, 2458, 2832, 1012, 2122, 2640, 3513, 2064, 4089, 2022, 6310, 2000, 8752, 3176, 6194, 2030, 8712, 2030, 2000, 4769, 2569, 3785, 1012, 9398, 5844, 1996, 2640, 2220, 12381, 13416, 1998, 1010, 1999, 2070, 3572, 1010, 11027, 2015, 1996, 2342, 2005, 2397, 1011, 2754, 2640, 2005, 5814, 1006, 1040, 16715, 1007, 3431, 1010, 8161, 3330, 5366, 1998, 2437, 2009, 2825, 2000, 3288, 4031, 2000, 3006, 3041, 1012, 1996, 1040, 16715, 27354, 4119, 2038, 3445, 2058, 1996, 2627, 5476, 1010, 4283, 2000, 1996, 20250, 1997, 2047, 1998, 2062, 2759, 5814, 6786, 1010, 2107, 2004, 23951, 7923, 1010, 11841, 1011, 23951, 23376, 1010, 9090, 1011, 2006, 1011, 2604, 1010, 11157, 6177, 1010, 2659, 1011, 4860, 2522, 1011, 5045, 17314, 1010, 4385, 1012, 1010, 2169, 1997, 2029, 2038, 2049, 4310, 5918, 1012, 2169, 3206, 7751, 3227, 2038, 2049, 2219, 15480, 2005, 2169, 1997, 2122, 6786, 1010, 4526, 1037, 9280, 2312, 2193, 1997, 2367, 2640, 3627, 4520, 2114, 2029, 1996, 2640, 2453, 2031, 2000, 2022, 7039, 1010, 5834, 2006, 1996, 6786, 1998, 8712, 2109, 1012, 1996, 3267, 1997, 1996, 7473, 2497, 5814, 2832, 9005, 1996, 4022, 2005, 6724, 1998, 12051, 2008, 2024, 6450, 1998, 2051, 1011, 15077, 2000, 10663, 2397, 1999, 1996, 2640, 2832, 1012, 2005, 2742, 1010, 1037, 2877, 3526, 9864, 1051, 6633, 2453, 2224, 2698, 2367, 23951, 2604, 8712, 1010, 2169, 1997, 2029, 3594, 2367, 2640, 3513, 1998, 28699, 2015, 2005, 2367, 3688, 1998, 2367, 7167, 1997, 1996, 2168, 4031, 1012, 1996, 2640, 2005, 1037, 3327, 4031, 2593, 3791, 2000, 2022, 11892, 2007, 2035, 1996, 8712, 2920, 1999, 2311, 1996, 4031, 1012, 2030, 2367, 4617, 1997, 1996, 2640, 2442, 2022, 2109, 2005, 2367, 8712, 1012, 11381, 2035, 1996, 2367, 2640, 3627, 4520, 2734, 2000, 4685, 1040, 16715, 14148, 1999, 1998, 1997, 2993, 2064, 2022, 1037, 2051, 1011, 15077, 2832, 1012, 2036, 1010, 2087, 7473, 2497, 2640, 4007, 2003, 2025, 3832, 2005, 1996, 4708, 1997, 4488, 1040, 16715, 14148, 1012, 1999, 2107, 3572, 14148, 2442, 2022, 2864, 21118, 1010, 2029, 3138, 1037, 6196, 3815, 1997, 2051, 1998, 2003, 13047, 2000, 10697, 1012, 2005, 6013, 1010, 1037, 23951, 4984, 3104, 8485, 1010, 2823, 2170, 3104, 23665, 1010, 2003, 2823, 2109, 2000, 4372, 17695, 23722, 3686, 1998, 4047, 1996, 6327, 4984, 2854, 1997, 1037, 23951, 2604, 1012, 2087, 7473, 2497, 2640, 5906, 5136, 3104, 8485, 1998, 2505, 2842, 2648, 1996, 11841, 2604, 2004, 12873, 9014, 2008, 2024, 2025, 2443, 1999, 2640, 3627, 14148, 1012, 2174, 1010, 3104, 8485, 9014, 2064, 2022, 2590, 2013, 1037, 1040, 16715, 3233, 8400, 1999, 1996, 2691, 3663, 2073, 8198, 2024, 11696, 1999, 1996, 2604, 1012, 1999, 1037, 5171, 2553, 1010, 1019, 23689, 2015, 14860, 2013, 2169, 4920, 2442, 2022, 3024, 1999, 1996, 3104, 8485, 6741, 2000, 4468, 2460, 2075, 2007, 1996, 15986, 11224, 1012, 12892, 2007, 2122, 8190, 1010, 1996, 3484, 1997, 1051, 6633, 2015, 11160, 2006, 1996, 7751, 2000, 4638, 1996, 2640, 2044, 2009, 2038, 2042, 2949, 1012, 2028, 3291, 2007, 2023, 3921, 2003, 1996, 4031, 9722, 2003, 4320, 2007, 1996, 7669, 1997, 9398, 5844, 1996, 3431, 2081, 2011, 1996, 7473, 2497, 7751, 2030, 8712, 2000, 5676, 2027, 2079, 2025, 7461, 4031, 15380, 1012, 1999, 1037, 5171, 2742, 1010, 2367, 6204, 3512, 4475, 5478, 2367, 2240, 9381, 2015, 1998, 12403, 6129, 1012, 2065, 1996, 7473, 2497, 5859, 2003, 2025, 2469, 1997, 1996, 7751, 1010, 2027, 2089, 2031, 1037, 11765, 2000, 5245, 2041, 1996, 12403, 6129, 2000, 4468, 3471, 2397, 1999, 1996, 2640, 2832, 1012, 2021, 4852, 12403, 6129, 2013, 2809, 2000, 2184, 23689, 2015, 13275, 5814, 3465, 1012, 8285, 18900, 2075, 1996, 2832, 1012, 2279, 1011, 4245, 1040, 16715, 4007, 11596, 2122, 7860, 2011, 4346, 1037, 4132, 2005, 23977, 2640, 3513, 2013, 1037, 2898, 2846, 1997, 3206, 7473, 2497, 8712, 1998, 6194, 1010, 2096, 6970, 7011, 6129, 2007, 1996, 7473, 2497, 2640, 4007, 2000, 8285, 8585, 1996, 2832, 1997, 11243, 2122, 3513, 2000, 3563, 5617, 2012, 2151, 2754, 1997, 2458, 1012, 1037, 3145, 7814, 1997, 2122, 5906, 2003, 1996, 6792, 3024, 2011, 7473, 2497, 8712, 1999, 4346, 2640, 3513, 2005, 2116, 1997, 2037, 6194, 1998, 2537, 3941, 1012, 2023, 2965, 4031, 9797, 2064, 3432, 7276, 1996, 7751, 1998, 2832, 2109, 2005, 1037, 3327, 2604, 2000, 4685, 1037, 1040, 16715, 3627, 4638, 1006, 3275, 1015, 1007, 1012, 3275, 1015, 1012, 4773, 1011, 2241, 10276, 2000, 7496, 1040, 16715, 3627, 4325, 1012, 1997, 2607, 1010, 3513, 2064, 2036, 2022, 3133, 21118, 2043, 2734, 2005, 8712, 2030, 6194, 2008, 2024, 2025, 2443, 1999, 1996, 7809, 1012, 1996, 2640, 3513, 2024, 2218, 1999, 1996, 6112, 1998, 7172, 1999, 2613, 2051, 1010, 2061, 1996, 2592, 2443, 2003, 2788, 1996, 6745, 2008, 2003, 2800, 1012, 1996, 3627, 3208, 2064, 5047, 2062, 2084, 7706, 3265, 2640, 14148, 2008, 3104, 2119, 6436, 2604, 2158, 16093, 18908, 4648, 8553, 1998, 6922, 4057, 14148, 1006, 3275, 1016, 1007, 1012, 4773, 4646, 1012, 1037, 4773, 4646, 2770, 1999, 1037, 3115, 3068, 16602, 12939, 5198, 2000, 4060, 1996, 3627, 19963, 2000, 4638, 1996, 2640, 2114, 1010, 19933, 3513, 2006, 1996, 4875, 2004, 2734, 1010, 11347, 2063, 13302, 1010, 3857, 1037, 20861, 21030, 2102, 2007, 1037, 2862, 1997, 13302, 1998, 3696, 2125, 2006, 1996, 2640, 1012, 14668, 14930, 1997, 2640, 15480, 1010, 2164, 2173, 1997, 2537, 1998, 2537, 4725, 1998, 4475, 1010, 2064, 2022, 6464, 3266, 1012, 3513, 2024, 3591, 1999, 2019, 3733, 1011, 2000, 1011, 3305, 4289, 2008, 2515, 2025, 5157, 3274, 1011, 11553, 2640, 1006, 28353, 1007, 3325, 2000, 17841, 1012, 15480, 1010, 2164, 5814, 5918, 1010, 2024, 4207, 1999, 2613, 2051, 2408, 2640, 2780, 1010, 5269, 1998, 3316, 1012, 2138, 2951, 2024, 2218, 1999, 1037, 2691, 1010, 2430, 7809, 1010, 2039, 2850, 10880, 1999, 2613, 2051, 1010, 14679, 2024, 2467, 2241, 2006, 1996, 6745, 2800, 2592, 2005, 1996, 2537, 6681, 1999, 2224, 1012, 3513, 2024, 7721, 1998, 7661, 21335, 3468, 1010, 1998, 1996, 3716, 4227, 2007, 2169, 2640, 2003, 14830, 2046, 1037, 3716, 7809, 2000, 5770, 2925, 5617, 1012, 1996, 2291, 27777, 8321, 1010, 8114, 4806, 2090, 7473, 2497, 7751, 1998, 3320, 3269, 1010, 2090, 1051, 6633, 2015, 1998, 2640, 4879, 2015, 1010, 1998, 2090, 1996, 1051, 6633, 1005, 1055, 4075, 1998, 20178, 1012, 3431, 2081, 2000, 1996, 2640, 2011, 1996, 7751, 2024, 4453, 1010, 1998, 1996, 7751, 2038, 1996, 4495, 2000, 4607, 4436, 2005, 2122, 3431, 1012, 5171, 1040, 16715, 3627, 14148, 1012, 2005, 2742, 1010, 1996, 2181, 2105, 1037, 2604, 12528, 4691, 2112, 2003, 2872, 2104, 6196, 7170, 2043, 1996, 2604, 2003, 4055, 1012, 2061, 2009, 2003, 2590, 2000, 5136, 11099, 1998, 14860, 1997, 6177, 2013, 1996, 2604, 12528, 4691, 2112, 1012, 2023, 3627, 2003, 2411, 2367, 2013, 1996, 5171, 6922, 2000, 2604, 3341, 3627, 1010, 2061, 2087, 7473, 2497, 5906, 3685, 21032, 1998, 2203, 2039, 12697, 2000, 1996, 5409, 2553, 1010, 2947, 18313, 2613, 3776, 2030, 2437, 2009, 4072, 2000, 21118, 10663, 2122, 3314, 2397, 1999, 1996, 2640, 2832, 2012, 1037, 6196, 3465, 1012, 1996, 1040, 16715, 2291, 2097, 3189, 10697, 2065, 1037, 2112, 2003, 2872, 3553, 2084, 1996, 5451, 3292, 2013, 1037, 1058, 1011, 3013, 1010, 2799, 2099, 2112, 1010, 2566, 29278, 3370, 2030, 13233, 2112, 1006, 3275, 1017, 1007, 1012, 2009, 1521, 1055, 2036, 2590, 2000, 2298, 2012, 16300, 2008, 2024, 19835, 4876, 2362, 2000, 5441, 1037, 9675, 14860, 2090, 5516, 16300, 1999, 2344, 2000, 4468, 1996, 4195, 1997, 1037, 2853, 2121, 2958, 1012, 1996, 9231, 2006, 1996, 3420, 29129, 3176, 6911, 1010, 2061, 2049, 6086, 6967, 2181, 2442, 2022, 3760, 2000, 5676, 20831, 2003, 5224, 1012, 3275, 1017, 1012, 9361, 6922, 14860, 2013, 2604, 12528, 4691, 2112, 1012, 2178, 5171, 1040, 16715, 4638, 18653, 2013, 1996, 2755, 2008, 2065, 1996, 27930, 6466, 1997, 1037, 7637, 2003, 2205, 2235, 1010, 2058, 1011, 4385, 12053, 2071, 3426, 2019, 2330, 4984, 1012, 2023, 3291, 2064, 2022, 9511, 2011, 9361, 2000, 2022, 2469, 27930, 12113, 2024, 2012, 2030, 2682, 1037, 9675, 3643, 1006, 3275, 1018, 1007, 1012, 2633, 1010, 2065, 1996, 6967, 17910, 6463, 12980, 2011, 2019, 11664, 3815, 2090, 2048, 5516, 16300, 1010, 1996, 2853, 2121, 28155, 24848, 3370, 2051, 1997, 1996, 16300, 2097, 11234, 1998, 2089, 3426, 16623, 2669, 2075, 1010, 2073, 2028, 2203, 1997, 1996, 9090, 6922, 2003, 12230, 2013, 1996, 6967, 11687, 1997, 1996, 7473, 2497, 1998, 4832, 2006, 1996, 2060, 2203, 1997, 1996, 9090, 6922, 1012, 1996, 3627, 4638, 5761, 1996, 4555, 6967, 17910, 6463, 4489, 2090, 1996, 16300, 1998, 3314, 1037, 11371, 2065, 2009, 2003, 3618, 2084, 1996, 9675, 3643, 1012, 3275, 1018, 1012, 27930, 6466, 3627, 4638, 1012, 1999, 1996, 2640, 1998, 2537, 1997, 4816, 3688, 1010, 2158, 16093, 18908, 4648, 8553, 14148, 2024, 3697, 2000, 4685, 21118, 1998, 2024, 2411, 2081, 2044, 1996, 2640, 2832, 2003, 3143, 1012, 2174, 1010, 2023, 3921, 2003, 5901, 3352, 4895, 6528, 3085, 2349, 2000, 4852, 2640, 11619, 1010, 3618, 3795, 2640, 5792, 1998, 12347, 4031, 6959, 20283, 1012, 1996, 2047, 12978, 3921, 2000, 1040, 16715, 18228, 9020, 1996, 3652, 2193, 1997, 2640, 3627, 14148, 2734, 2000, 5676, 2158, 16093, 18908, 4648, 8553, 2220, 1999, 1996, 2640, 2832, 1998, 15442, 2004, 1996, 2147, 22901, 1010, 12725, 5617, 2031, 2042, 2550, 1999, 10388, 2007, 6922, 15986, 1998, 5814, 15480, 1012, 1996, 2972, 2832, 2003, 2392, 1011, 2203, 5533, 1010, 6631, 2951, 1999, 2613, 1011, 2051, 2408, 2035, 7640, 1010, 5908, 1010, 1998, 3316, 2920, 1999, 1996, 2640, 1998, 2458, 1997, 2019, 4816, 4031, 1012, 2023, 3921, 13416, 2640, 27758, 2015, 2138, 3627, 14148, 2024, 2448, 2004, 2640, 2147, 22901, 1010, 1998, 3471, 2024, 4453, 2220, 1999, 1996, 2640, 5402, 1012, 2640, 2051, 1998, 5366, 2024, 4359, 2083, 5514, 2640, 4391, 1010, 3929, 8832, 14148, 1998, 1996, 3754, 2000, 2275, 2039, 14148, 1998, 3513, 3563, 2000, 1996, 5814, 6194, 1998, 3941, 2109, 1012, 3688, 2024, 7609, 2157, 1996, 2034, 2051, 1010, 8161, 2051, 1011, 2000, 1011, 3006, 1998, 2051, 1011, 2000, 1011, 3872, 1012, 14910, 11215, 2158, 29045, 2401, 2003, 1996, 2708, 5656, 2961, 2012, 16950, 7520, 1006, 16950, 7520, 1012, 4012, 1007, 1025, 2023, 10373, 4769, 2003, 2108, 5123, 2013, 12403, 13344, 3215, 1012, 2017, 2342, 9262, 22483, 9124, 2000, 3193, 2009, 1012, 1012, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2601, 8044, 1997, 18921, 5092, 4667, 4088, 2000, 8587, 1999, 1996, 15244, 2078, 9647, 10785, 2043, 2634, 1521, 1055, 10479, 2110, 19391, 2013, 2049, 2058, 10526, 19183, 8768, 1012, 2005, 1037, 2261, 9062, 3134, 1010, 3071, 2038, 5632, 2379, 1011, 2561, 24501, 23270, 2063, 2013, 1996, 9836, 3321, 12735, 1998, 16231, 1011, 5507, 16215, 17583, 2015, 1997, 1996, 7538, 2161, 1012, 2008, 2003, 2043, 10575, 2131, 2000, 7842, 6767, 3126, 2070, 1997, 1996, 2434, 21560, 1997, 2023, 18172, 3376, 1998, 8363, 22889, 16402, 1997, 1996, 12849, 25804, 2078, 15458, 1012, 2009, 2003, 1037, 2161, 1997, 11374, 21272, 9297, 2006, 4542, 1011, 13554, 2098, 4925, 12788, 2695, 11522, 3819, 2000, 1996, 6381, 9154, 1010, 1997, 5485, 25203, 3165, 1998, 25265, 16063, 4249, 1010, 1998, 3668, 2155, 2131, 1011, 2362, 2015, 16360, 25890, 2007, 7239, 1998, 2299, 1012, 2021, 2059, 1996, 4569, 3310, 2000, 2019, 2203, 1012, 4895, 7377, 3489, 3085, 14436, 6519, 10524, 2015, 7268, 11347, 2012, 1996, 2245, 2008, 4925, 1998, 12212, 2097, 2574, 2468, 21601, 2007, 14518, 21038, 2015, 1012, 13325, 2011, 1996, 26865, 2008, 4372, 6342, 2229, 2169, 2095, 1010, 2009, 2003, 3154, 1996, 2540, 8022, 2003, 15123, 1012, 2169, 11165, 7538, 2161, 1010, 2009, 4150, 2062, 16267, 5793, 2008, 1996, 15961, 4753, 1997, 2023, 2320, 1011, 15502, 2135, 10190, 1523, 9609, 2110, 1000, 1517, 2029, 10862, 4396, 5921, 2634, 1521, 1055, 2087, 3144, 3795, 9639, 1517, 2038, 2439, 2172, 1997, 2049, 12342, 1012, 2127, 3728, 1010, 15244, 2218, 6196, 2035, 5397, 2005, 1037, 8348, 15534, 2135, 3816, 7396, 12260, 2013, 2105, 2634, 1998, 1996, 2088, 1012, 2021, 2008, 2003, 2053, 2936, 1996, 2553, 1012, 2429, 2000, 1996, 6745, 2817, 4146, 2011, 1996, 3006, 2470, 2407, 1997, 1996, 2586, 3757, 1997, 6813, 1010, 2023, 3839, 28458, 2094, 7688, 6938, 1037, 2659, 2135, 6619, 1999, 1996, 2406, 1999, 3408, 1997, 6217, 2007, 15040, 5873, 2634, 1012, 2062, 23504, 2135, 1010, 2009, 3478, 2000, 4236, 1999, 1996, 2327, 2184, 28271, 5921, 4968, 19284, 2004, 2092, 1012, 2021, 2023, 4530, 1999, 10385, 2038, 2025, 7686, 1999, 1037, 7978, 4530, 1999, 1996, 2193, 1997, 5731, 1012, 1999, 2755, 1010, 2008, 2193, 2038, 2069, 2506, 2000, 15044, 1012, 2429, 2000, 2110, 4614, 1010, 2045, 2001, 2382, 1003, 3930, 1010, 2013, 5560, 2093, 2454, 9045, 2000, 2176, 2454, 1010, 2013, 2286, 2000, 2297, 1012, 1999, 2325, 1010, 1996, 2561, 26019, 2000, 2274, 2454, 1010, 1998, 2197, 2095, 2009, 18852, 2092, 2627, 2416, 1012, 2122, 2024, 5294, 2135, 4254, 3993, 1523, 3329, 28067, 1000, 2005, 1037, 2110, 2007, 2625, 2084, 2048, 2454, 1999, 4568, 2313, 1010, 2926, 2138, 1996, 3623, 3310, 7580, 2013, 17113, 1011, 6224, 5166, 19284, 1012, 2172, 1997, 2023, 2193, 8681, 4968, 9045, 2040, 5247, 9839, 2625, 2084, 3097, 5731, 1012, 2429, 2000, 1996, 2110, 1521, 1055, 2219, 6747, 1010, 1996, 2779, 10367, 2013, 6917, 15970, 2176, 2335, 2004, 2172, 2004, 1996, 2779, 2796, 1010, 2750, 1996, 2755, 2008, 2070, 3097, 5731, 3604, 2006, 6007, 18886, 3070, 26178, 1012, 2021, 2216, 4481, 2079, 2025, 2421, 4121, 3616, 1997, 2778, 1011, 3902, 5467, 2040, 5660, 2006, 1996, 25131, 1010, 2224, 1996, 4249, 2004, 21674, 1010, 1998, 2411, 3637, 1999, 2037, 4683, 1012, 3068, 22859, 2360, 1996, 12689, 10817, 1997, 29524, 20700, 4102, 2000, 4968, 19284, 2003, 3553, 2000, 2184, 2000, 2028, 1012, 2144, 2053, 3535, 2003, 2081, 2000, 12411, 28032, 4697, 1996, 3652, 2193, 1997, 5731, 2000, 1996, 2110, 1010, 15244, 1521, 1055, 4044, 15934, 2015, 2013, 1037, 12590, 4895, 13203, 18249, 3085, 28644, 1012, 2035, 2023, 2003, 2716, 2188, 2000, 2033, 2066, 1037, 3679, 8595, 1999, 1996, 9535, 1010, 2006, 1996, 5041, 13457, 1997, 18062, 7849, 3509, 1010, 2157, 2648, 2026, 2155, 1521, 1055, 4545, 1999, 6090, 13006, 2072, 1010, 1996, 4979, 1011, 7451, 2110, 3007, 1012, 2718, 2023, 3923, 3509, 2157, 2044, 6440, 1010, 1998, 2017, 2064, 2022, 25857, 2046, 8929, 2035, 2003, 2092, 1999, 9097, 1012, 1037, 9487, 3019, 14753, 16076, 2003, 4321, 10109, 1024, 2045, 2024, 3717, 1997, 2542, 17746, 6153, 2011, 7965, 4832, 1997, 25222, 6692, 11796, 3628, 1012, 1996, 2220, 2851, 3496, 2064, 2022, 12580, 11951, 1010, 2007, 3080, 6062, 3788, 2457, 14769, 2135, 2362, 1998, 9461, 27784, 2770, 2083, 2037, 24785, 1010, 2096, 19311, 2015, 1997, 22262, 2300, 12887, 5217, 2682, 1996, 5975, 1012, 2035, 2023, 2003, 4914, 2135, 8909, 8516, 10415, 1010, 1998, 3928, 21358, 27972, 3370, 1997, 2026, 2155, 1521, 1055, 3247, 2000, 2444, 2012, 2023, 3962, 1012, 2021, 18062, 7849, 5544, 2855, 2735, 14768, 2065, 2017, 2128, 6494, 3401, 1996, 2168, 4084, 1999, 1996, 3944, 2847, 1012, 2059, 2296, 2800, 2686, 2003, 8966, 2007, 2312, 12783, 1012, 1037, 2261, 7932, 2945, 2024, 1999, 1037, 5664, 7162, 1025, 3262, 1010, 2045, 2024, 18856, 24237, 2015, 1997, 2273, 1010, 2411, 4458, 2105, 11015, 1997, 6544, 1012, 2172, 1997, 2023, 15445, 10951, 2000, 6167, 2000, 1061, 1011, 21430, 1010, 2059, 2813, 15568, 20754, 1999, 1996, 14175, 1012, 7249, 1010, 13044, 2003, 25259, 1998, 17835, 2039, 1010, 15411, 15926, 6077, 1998, 7167, 1997, 7125, 1012, 11190, 29328, 17624, 2229, 2006, 1996, 17746, 1012, 2025, 2000, 2022, 2041, 5280, 2063, 1010, 1996, 22017, 6774, 2273, 24471, 14776, 1999, 1996, 2330, 1012, 1037, 19633, 25850, 18647, 7224, 23481, 1012, 3193, 2440, 3746, 18062, 7849, 3509, 1012, 1999, 2418, 1010, 2200, 2210, 2008, 2003, 15958, 15244, 2078, 3464, 1999, 1996, 6813, 15244, 3325, 1012, 2008, 11113, 7274, 9067, 3663, 2003, 11013, 2011, 2460, 1011, 19985, 2110, 3343, 1012, 2087, 10575, 1045, 2113, 2024, 23558, 2008, 2612, 1997, 14622, 1996, 18672, 2012, 1996, 2540, 1997, 2023, 8995, 4753, 1997, 1996, 4610, 1010, 1996, 2783, 3447, 2038, 3902, 6340, 2993, 6932, 2083, 1996, 4551, 1011, 7922, 26272, 1997, 1037, 2117, 3199, 2006, 1996, 27375, 2167, 15244, 9814, 1997, 9587, 4502, 1010, 2029, 1037, 6565, 3484, 1997, 1996, 3128, 2313, 14600, 2004, 1037, 4022, 2331, 6271, 2000, 2673, 2027, 8813, 2055, 2037, 10759, 1012, 2708, 2704, 2158, 11631, 2906, 11968, 23778, 2099, 3728, 2275, 5432, 10118, 13060, 2043, 2002, 4161, 1010, 1523, 15244, 2064, 8752, 5973, 2039, 2000, 2321, 2454, 9045, 2065, 2057, 3659, 2068, 2408, 1996, 4731, 1012, 1000, 1037, 5041, 10465, 4324, 2008, 11968, 23778, 2099, 6468, 7209, 5368, 2005, 2172, 1997, 2054, 2038, 2908, 3308, 2007, 15244, 1521, 1055, 6813, 1999, 1996, 2047, 10144, 1010, 3383, 2087, 5546, 2011, 4637, 1996, 9270, 3068, 1012, 2036, 1010, 2738, 4050, 1010, 2612, 1997, 15366, 2055, 2054, 2038, 3047, 2000, 2058, 8569, 18246, 1996, 13072, 2110, 4044, 1010, 2002, 2056, 2197, 2095, 1024, 1523, 2651, 2471, 2416, 2454, 9045, 2272, 2000, 15244, 1012, 2043, 1045, 2165, 2058, 2004, 2708, 2704, 1999, 2456, 1010, 2561, 2260, 2474, 10023, 1006, 1015, 1012, 1016, 2454, 1007, 9045, 2020, 7194, 1999, 1996, 2110, 1012, 1000, 2002, 2038, 10862, 13335, 2942, 2554, 11107, 2000, 6985, 2070, 10306, 1997, 17194, 1010, 2087, 3728, 2007, 1037, 26881, 3535, 2000, 5670, 16405, 2099, 8584, 1997, 15244, 2013, 1996, 16920, 6847, 1997, 1996, 2120, 2665, 12152, 2000, 2047, 6768, 1010, 2029, 2097, 2191, 2009, 2172, 6211, 2005, 9964, 2545, 2000, 3362, 2457, 1012, 1999, 2010, 8637, 3247, 2128, 8569, 15379, 2290, 11968, 23778, 2099, 1006, 2040, 2038, 5763, 2000, 5574, 1007, 1010, 3425, 11721, 13210, 2213, 20455, 1997, 1996, 11831, 2152, 2457, 13366, 14626, 4372, 17695, 23722, 4383, 15244, 1521, 1055, 11587, 11967, 1012, 1523, 2023, 2003, 2019, 9313, 2110, 1012, 1012, 1012, 1012, 2009, 2003, 1037, 2455, 1997, 13693, 2015, 1010, 2073, 7578, 14119, 3113, 1998, 2522, 1011, 4839, 1025, 1998, 1010, 1999, 1037, 2051, 1997, 4593, 4297, 7971, 4630, 27865, 1998, 12532, 4103, 1010, 2009, 2003, 2145, 1037, 3262, 4314, 2455, 1012, 2009, 2003, 1037, 2785, 1998, 7132, 2455, 1010, 1997, 1037, 2785, 1998, 7132, 2111, 1012, 1998, 2009, 2003, 2036, 1037, 2455, 2008, 1010, 2445, 2049, 2235, 2946, 1998, 2235, 2313, 1010, 2038, 2018, 1037, 12590, 4487, 13102, 18981, 11589, 3258, 3686, 3747, 2006, 2256, 2396, 1010, 3226, 1010, 2653, 1010, 2189, 1010, 3906, 1010, 4294, 1010, 2381, 1010, 2640, 1998, 2062, 1006, 2130, 2833, 1010, 2005, 2116, 1997, 2054, 2057, 5136, 2256, 24533, 2034, 2234, 2013, 2182, 1007, 1012, 2049, 4602, 11412, 2003, 2028, 1024, 2049, 4044, 1998, 2049, 13517, 1517, 2049, 5485, 1998, 2314, 9299, 2015, 1010, 2049, 12212, 1010, 2049, 6597, 1998, 3154, 9199, 1010, 2049, 9742, 6138, 1010, 2049, 2659, 4564, 1998, 14946, 4249, 1010, 2049, 22177, 1998, 2130, 3628, 14021, 21332, 2098, 2007, 10636, 1998, 16702, 1998, 5622, 8661, 1999, 1996, 15811, 1010, 2049, 9951, 2135, 8235, 10434, 2015, 1012, 1012, 1012, 1012, 2065, 1996, 12835, 2102, 1999, 16920, 2038, 2061, 2200, 2116, 3572, 2013, 15244, 1010, 2009, 2003, 2025, 2138, 1517, 2030, 2025, 2074, 2138, 1517, 1996, 2111, 1997, 15244, 2024, 5507, 8004, 6313, 1012, 1012, 1012, 1012, 2009, 2003, 2138, 2027, 23084, 2008, 2045, 2003, 2242, 1997, 3643, 2182, 2000, 4047, 1012, 1012, 1012, 1012, 2005, 2023, 2003, 2242, 3904, 2064, 9772, 1024, 2023, 2003, 1037, 2455, 5621, 4276, 3554, 2005, 1012, 1000, 20455, 1521, 1055, 2566, 28687, 1998, 13805, 2616, 2435, 2019, 6234, 6039, 11514, 2000, 1996, 6196, 2930, 1997, 15244, 1521, 1055, 2313, 2008, 7465, 2453, 6588, 2000, 2562, 2049, 14947, 8027, 4142, 1012, 2004, 2002, 3264, 1010, 1523, 2028, 3791, 2069, 2000, 2735, 2125, 2019, 25543, 2346, 2000, 2593, 2264, 2030, 2225, 2000, 2156, 2035, 2023, 1006, 7045, 1997, 15244, 1007, 2034, 1011, 2192, 1010, 1998, 2035, 1997, 2009, 2306, 2021, 1037, 2261, 2781, 1012, 1000, 2061, 1010, 2045, 2003, 6196, 19728, 2008, 8817, 1997, 9045, 2024, 14906, 2098, 2011, 1996, 4451, 2083, 1037, 5122, 20167, 1997, 2054, 1996, 2110, 4107, 1999, 11268, 8557, 14531, 2074, 1037, 2261, 4084, 2185, 2013, 1996, 7854, 4130, 1012, 2009, 3138, 2069, 1037, 4714, 2978, 1997, 6349, 2000, 2681, 1996, 13675, 12054, 2135, 3293, 2923, 10019, 1997, 6101, 1010, 1998, 6957, 2157, 2046, 25388, 1998, 27768, 15244, 1010, 2029, 11113, 28819, 2015, 1999, 14764, 2015, 1997, 2339, 3071, 3062, 1999, 2293, 2007, 2023, 10973, 12199, 13713, 1999, 1996, 2034, 2173, 1012, 2191, 1996, 3625, 1998, 12962, 9804, 1010, 1998, 2017, 2097, 2031, 1037, 24821, 6020, 3325, 1010, 1998, 2393, 2000, 3828, 15244, 2012, 1996, 2168, 2051, 1012, 1042, 7716, 4063, 2005, 1996, 2228, 2121, 1037, 2836, 2012, 1996, 14262, 10497, 11514, 3012, 2840, 2782, 1010, 2355, 1012, 14571, 1024, 14262, 10497, 11514, 3012, 2840, 3404, 1996, 2034, 8605, 1997, 15244, 2004, 1037, 17056, 1011, 2067, 5880, 2003, 5186, 11703, 22048, 1012, 2009, 2003, 1037, 20547, 8790, 2110, 1010, 2007, 2049, 2219, 8052, 7443, 1998, 3824, 2840, 1010, 2029, 2036, 6184, 2070, 1997, 1996, 2087, 12479, 4706, 1998, 6018, 26911, 2015, 1999, 1996, 2406, 1012, 2013, 2281, 2083, 2337, 2169, 2095, 1010, 6090, 13006, 2072, 1998, 2049, 9884, 3853, 2200, 2172, 2066, 2019, 6585, 2120, 3451, 3007, 1010, 2007, 2067, 1011, 2000, 1011, 2067, 27858, 2824, 1012, 1999, 2116, 3971, 1010, 2009, 2001, 1996, 2248, 2143, 2782, 1997, 2634, 1010, 2008, 2318, 2009, 2125, 1012, 2043, 15244, 2150, 1996, 4568, 6891, 1999, 2432, 1010, 1996, 2110, 2231, 5854, 1996, 4348, 18761, 2008, 2109, 2000, 2160, 1996, 2034, 2966, 2267, 1999, 4021, 2000, 2022, 1996, 2782, 2188, 1012, 2008, 13330, 2714, 15576, 2802, 1996, 2103, 1010, 2029, 2085, 21979, 1997, 12656, 2840, 6502, 2008, 9169, 1996, 2190, 1999, 1996, 2406, 1012, 1996, 14262, 10497, 11514, 3012, 2840, 2782, 1010, 2085, 1999, 2049, 2117, 2095, 1007, 3594, 2035, 1997, 2009, 2006, 1037, 2882, 4094, 1010, 14743, 1999, 1037, 21140, 1011, 18953, 6134, 1999, 2074, 1037, 2733, 1999, 2285, 1012, 2178, 8637, 2724, 2003, 1996, 2809, 1011, 2095, 1011, 2214, 15244, 2840, 1998, 3906, 2782, 1010, 2029, 1045, 2522, 1011, 2631, 1998, 27530, 4077, 1996, 14953, 12849, 25804, 3490, 3213, 5477, 13390, 2099, 5003, 17040, 2080, 1012, 2045, 2024, 2116, 2060, 11637, 2006, 1996, 3451, 8094, 1010, 2021, 1996, 2087, 19401, 2003, 1996, 10125, 2189, 2782, 1010, 2218, 2006, 1996, 2034, 5353, 1997, 2337, 1010, 2029, 13585, 7591, 2135, 3479, 2530, 1998, 2796, 4556, 2189, 1998, 3153, 4616, 2007, 1996, 2087, 3052, 17904, 6891, 10047, 22974, 22966, 1012, 2023, 2003, 1037, 5767, 2301, 2277, 1010, 1998, 2049, 2101, 4221, 2962, 7254, 10119, 1010, 2275, 2152, 2006, 2019, 2214, 15244, 18573, 1010, 4107, 12047, 1010, 3239, 1011, 20095, 5328, 1997, 1996, 2158, 3527, 5737, 2314, 3028, 1010, 2049, 2479, 5957, 14059, 2046, 1996, 3292, 1012, 1996, 10434, 4616, 2024, 3458, 28341, 2004, 1996, 5996, 2422, 7198, 2229, 1996, 13005, 1999, 2019, 8994, 8652, 1012, 3193, 2440, 3746, 2019, 4547, 27918, 3653, 22119, 2015, 14403, 9715, 1521, 12962, 17801, 1011, 3666, 7562, 1012, 14571, 1024, 14403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3141, 3906, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2005, 4281, 2000, 1996, 10752, 1010, 2156, 1024, 12267, 2063, 1004, 7632, 2545, 17545, 1006, 2230, 1031, 1030, 22861, 2549, 1033, 1007, 1025, 23769, 1008, 3802, 2632, 1012, 1008, 1006, 2249, 1031, 1030, 22861, 2629, 1033, 1007, 1025, 26323, 25804, 1008, 3802, 2632, 1012, 1008, 1006, 2432, 1031, 1030, 22861, 2581, 1033, 1007, 1012, 2005, 6473, 2632, 4801, 13490, 1010, 2156, 1024, 6473, 1008, 3802, 2632, 1012, 1008, 1006, 3261, 1031, 1030, 22861, 2487, 1033, 1010, 3196, 1031, 1030, 22861, 2475, 1033, 1007, 1012, 6388, 1063, 1001, 10819, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1063, 1001, 10819, 2475, 1012, 1015, 1065, 1001, 1001, 1001, 6121, 2951, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1015, 1065, 1039, 1066, 2539, 1066, 1044, 1066, 2484, 1066, 18856, 3630, 1066, 1019, 1066, 1008, 1049, 1008, 1008, 1066, 1054, 1066, 1008, 1027, 29335, 1012, 6391, 8202, 10085, 22153, 2278, 1010, 1008, 1037, 1008, 1027, 2340, 1012, 4293, 25746, 1006, 1023, 1007, 1037, 1008, 1038, 1008, 1027, 1019, 1012, 6205, 23499, 1006, 1018, 1007, 1037, 1008, 1039, 1008, 1027, 2410, 1012, 6584, 2620, 2683, 1006, 2340, 1007, 1037, 29720, 1027, 11518, 1012, 6185, 2509, 1006, 1023, 1007, 1080, 1008, 1058, 1008, 1027, 6205, 2475, 1012, 2385, 1006, 2260, 1007, 1037, 1034, 1017, 1034, 1008, 1062, 1008, 1027, 1016, 5302, 1008, 1047, 1008, 1155, 8249, 29728, 1027, 1014, 1012, 2484, 3461, 1034, 1597, 2487, 1034, 1008, 1056, 1008, 1027, 19410, 1047, 2692, 1012, 2871, 1095, 1014, 1012, 2322, 1095, 1014, 1012, 2322, 3461, 1001, 1001, 1001, 2951, 3074, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1016, 1065, 4345, 4487, 4246, 25533, 1060, 9289, 12322, 3126, 21965, 2509, 4487, 4246, 22648, 20389, 15141, 7875, 21748, 16790, 18140, 1024, 4800, 1011, 13594, 1006, 1008, 5390, 12002, 2483, 2417, 1008, 1025, 4345, 4487, 4246, 25533, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1008, 1056, 1008, 1066, 8117, 1066, 1027, 1014, 1012, 27743, 1010, 1008, 1056, 1008, 1066, 4098, 1066, 1027, 1014, 1012, 5345, 21472, 26976, 2475, 7594, 16055, 19481, 2683, 2549, 2981, 16055, 17788, 16068, 16055, 2007, 1008, 1045, 1008, 1032, 1028, 1016, 2015, 1006, 1008, 1045, 1008, 1007, 1008, 1054, 1008, 1066, 20014, 1066, 1027, 1014, 1012, 6021, 2509, 1001, 1001, 1001, 25416, 3170, 3672, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1017, 1065, 1008, 1054, 1008, 1032, 1031, 1008, 1042, 1008, 1034, 1016, 1034, 1032, 1028, 1016, 29733, 1006, 1008, 1042, 1008, 1034, 1016, 1034, 1007, 1032, 1033, 1027, 1014, 1012, 6021, 2683, 1008, 23277, 1008, 1006, 1008, 1042, 1008, 1034, 1016, 1034, 1007, 1027, 1014, 1012, 5840, 2581, 1008, 1055, 1008, 1027, 1014, 1012, 5818, 19481, 2683, 2549, 16055, 21926, 2581, 11709, 2487, 19355, 2232, 1011, 13787, 11709, 27570, 29722, 29732, 1066, 4098, 1066, 1027, 1014, 1012, 2570, 1041, 1037, 1034, 1597, 2509, 1034, 1158, 29732, 1066, 8117, 1066, 1027, 1597, 2692, 1012, 2538, 1041, 1037, 1034, 1597, 2509, 1034, 7619, 3252, 1024, 13109, 8684, 1006, 3172, 1031, 1030, 22861, 2509, 1033, 1007, 1010, 13285, 2620, 13017, 2884, 7689, 10258, 8684, 16381, 1024, 1014, 1012, 2340, 1006, 1019, 1007, 1063, 1001, 1040, 2629, 2063, 19481, 2620, 1065, 2951, 3074, 1024, 1008, 5390, 12002, 2483, 10507, 2094, 1008, 1006, 4345, 4487, 4246, 25533, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 3526, 25416, 3170, 3672, 1024, 1008, 5390, 12002, 2483, 10507, 2094, 1008, 1025, 2951, 7312, 1024, 1008, 5390, 12002, 2483, 2417, 1008, 1006, 4345, 4487, 4246, 25533, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 2565, 1006, 1055, 1007, 2109, 2000, 9611, 3252, 1024, 1008, 2016, 2140, 2595, 2015, 2683, 2581, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2620, 1033, 1007, 1025, 2565, 1006, 1055, 1007, 2109, 2000, 25416, 3170, 3252, 1024, 1008, 2016, 2140, 2595, 2140, 2683, 2581, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2620, 1033, 1007, 1025, 8382, 8389, 1024, 1008, 2016, 2140, 18413, 2140, 1011, 4606, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2620, 1033, 1007, 1998, 1008, 18858, 2078, 1008, 1006, 11867, 5937, 1010, 2268, 1031, 1030, 22861, 2683, 1033, 1007, 1025, 4007, 2109, 2000, 7374, 3430, 2005, 4772, 1024, 1008, 2016, 2140, 18413, 2140, 1011, 4606, 1008, 1012, 26215, 3430, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 6121, 3252, 1024, 3397, 2951, 23467, 1006, 1055, 1007, 1045, 1010, 3795, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 22275, 2620, 12740, 1013, 21461, 11387, 19961, 6342, 2361, 2487, 1012, 25022, 2546, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 22275, 2620, 12740, 1013, 21461, 11387, 19961, 6342, 2361, 2487, 1012, 25022, 2546, 1007, 3252, 5876, 1024, 3397, 2951, 23467, 1006, 1055, 1007, 1045, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 22275, 2620, 12740, 1013, 21461, 11387, 19961, 2483, 6279, 2475, 1012, 22563, 2140, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 22275, 2620, 12740, 1013, 21461, 11387, 19961, 2483, 6279, 2475, 1012, 22563, 2140, 1007, 26215, 3430, 5371, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 22275, 2620, 12740, 1013, 21461, 11387, 19961, 2483, 6279, 2509, 1012, 4642, 2140, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 22275, 2620, 12740, 1013, 21461, 11387, 19961, 2483, 6279, 2509, 1012, 4642, 2140, 1007, 3176, 26215, 4475, 1024, 1031, 6121, 21197, 20721, 2592, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 10255, 6279, 8873, 4244, 1029, 21461, 11387, 19961, 1004, 5371, 1027, 21461, 11387, 19961, 6342, 2361, 2692, 1012, 16129, 1004, 2771, 4168, 1027, 3793, 1013, 16129, 1007, 1025, 1031, 7605, 3193, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 4604, 6895, 2546, 1029, 21461, 11387, 19961, 6342, 2361, 2487, 1004, 1053, 4328, 4168, 1027, 25022, 2546, 1007, 1025, 1031, 4638, 6895, 2546, 3189, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 3259, 1029, 21461, 11387, 19961, 1004, 4638, 6895, 2546, 1027, 2748, 1007, 26215, 2951, 1998, 4481, 2005, 2023, 3259, 2024, 2800, 2013, 1996, 1045, 14194, 2099, 4816, 8264, 1006, 4431, 1024, 1031, 21461, 11387, 19961, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 10255, 6279, 1029, 21461, 11387, 19961, 1007, 1007, 1012, 7615, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 2516, 7328, 1045, 2001, 4663, 2076, 1996, 10752, 1997, 1996, 2217, 4677, 1997, 1006, 1011, 1011, 1007, 1011, 1048, 22123, 7361, 19466, 11514, 19265, 1037, 1006, 26323, 25804, 1008, 3802, 2632, 1012, 1008, 1010, 2432, 1007, 1012, 3728, 2256, 2470, 2177, 2405, 1996, 10752, 1997, 1996, 4563, 15778, 1997, 1006, 1011, 1011, 1007, 1011, 1048, 22123, 7361, 19466, 11514, 19265, 1037, 1006, 12267, 2063, 1004, 7632, 2545, 17545, 1010, 2230, 1007, 1012, 3859, 2044, 1010, 1996, 2034, 2561, 10752, 1997, 1996, 2695, 8898, 3252, 2001, 2405, 1006, 23769, 1008, 3802, 2632, 1012, 1008, 1010, 2249, 1007, 1012, 7328, 1045, 2001, 23572, 1998, 3525, 4162, 1999, 2019, 6473, 2632, 4801, 13490, 1006, 6473, 1008, 3802, 2632, 1012, 1008, 1010, 3261, 1025, 6473, 1008, 3802, 2632, 1012, 1008, 1010, 3196, 1007, 2000, 16500, 1996, 12991, 16505, 2415, 2012, 29248, 2509, 1012, 1996, 10752, 1997, 1045, 2001, 3344, 2041, 2013, 2482, 8758, 8516, 2594, 5648, 1998, 1006, 1008, 1054, 1008, 1007, 1011, 1018, 1011, 17770, 8516, 11636, 10936, 10893, 8718, 1011, 1016, 1011, 2028, 1012, 1996, 23060, 10936, 10893, 8718, 5643, 3614, 11092, 2015, 1037, 3053, 8872, 16695, 2099, 23758, 3370, 1998, 1996, 11163, 21572, 7685, 24198, 2638, 9078, 9080, 2003, 2019, 2330, 11255, 1011, 2066, 3252, 1012, 1996, 23060, 10936, 10893, 8718, 5643, 1011, 1998, 2217, 1011, 4677, 6351, 8516, 2967, 2024, 16865, 4383, 1999, 2019, 3424, 4842, 11514, 16695, 2099, 6512, 2000, 18478, 3158, 4315, 11333, 9777, 16360, 23316, 2015, 1012, 1996, 4487, 27310, 6466, 2090, 1996, 4946, 2083, 1050, 1010, 27723, 2692, 1010, 1051, 2475, 1998, 1996, 4946, 2083, 1050, 1010, 27723, 2487, 1010, 1051, 2509, 2003, 1023, 1012, 1018, 1006, 1018, 1007, 1080, 1012, 7297, 1010, 1996, 10381, 10626, 3170, 13787, 1998, 1996, 9078, 2669, 5178, 5123, 3905, 6544, 2024, 2036, 1999, 2019, 3424, 4842, 11514, 16695, 2099, 6512, 2007, 2019, 17153, 10992, 6466, 1997, 19410, 1012, 4185, 1006, 2403, 1007, 1080, 1012, 1996, 7619, 9563, 2001, 4340, 1998, 10217, 2007, 1996, 9563, 1997, 1996, 2109, 9610, 7941, 9830, 1012, 6388, 1063, 1001, 6388, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2000, 1037, 5576, 1997, 2482, 8758, 8516, 2594, 5648, 1006, 28122, 11460, 1010, 1017, 1012, 6255, 3461, 4747, 1010, 1015, 1012, 1014, 1041, 4160, 1007, 1999, 16215, 2546, 1006, 2322, 19875, 1010, 1019, 19875, 1013, 3461, 4747, 1007, 2001, 2794, 3802, 1066, 1017, 1066, 1050, 1006, 1015, 1012, 2403, 19875, 1010, 1022, 1012, 2321, 3461, 4747, 1010, 1016, 1012, 1014, 1041, 4160, 1007, 1998, 14255, 10175, 6977, 29358, 10626, 5178, 1006, 1014, 1012, 1020, 19875, 1010, 1018, 1012, 6486, 3461, 4747, 1010, 1015, 1012, 1016, 1041, 4160, 1007, 2012, 23254, 1047, 1012, 2044, 18385, 2012, 2023, 4860, 2005, 1016, 1044, 1996, 8150, 2001, 17336, 2000, 25371, 1047, 1012, 5024, 5622, 20464, 1006, 11212, 11460, 1010, 1019, 1012, 6163, 3461, 4747, 1010, 1015, 1012, 1019, 1041, 4160, 1007, 1998, 1006, 1008, 1054, 1008, 1007, 1011, 1018, 1011, 17770, 8516, 11636, 10936, 10893, 8718, 1011, 1016, 1011, 2028, 1006, 5764, 2683, 11460, 1010, 1017, 1012, 6255, 3461, 4747, 1010, 1015, 1012, 1014, 1041, 4160, 1007, 2020, 2794, 1012, 1996, 4668, 2001, 10861, 19282, 2007, 1044, 1066, 1016, 1066, 1051, 2044, 18385, 2005, 1016, 1044, 2012, 2282, 4860, 1012, 1996, 9014, 2020, 5459, 1998, 1996, 1037, 4226, 3560, 4403, 15901, 2007, 3802, 1066, 1016, 1066, 1051, 1012, 1996, 4117, 7554, 12335, 2020, 9550, 2058, 2019, 10536, 22196, 2271, 11460, 6499, 1066, 1018, 1066, 1010, 21839, 1998, 8279, 2104, 4359, 3778, 1012, 5956, 5930, 10381, 21716, 10610, 12565, 1006, 22330, 20464, 11631, 10288, 7231, 1013, 3802, 29598, 9078, 12259, 1019, 1013, 1015, 1007, 22891, 1996, 2516, 7328, 1006, 1015, 1012, 2260, 1043, 1010, 1016, 1012, 6109, 3461, 4747, 1010, 6391, 1003, 1007, 2004, 1037, 4317, 6120, 3238, 3514, 1012, 2309, 14438, 1997, 1006, 1045, 1007, 2020, 4663, 2011, 6121, 22731, 2013, 11163, 5369, 18684, 2638, 2000, 3073, 2317, 17044, 1012, 1008, 1054, 1066, 1042, 1066, 1008, 1014, 1012, 4724, 1006, 22330, 20464, 11631, 10288, 7231, 1013, 3802, 29598, 9078, 12259, 1016, 1013, 1015, 1007, 1025, 20302, 1012, 10250, 19797, 1012, 2005, 1039, 1066, 2539, 1066, 1044, 1066, 2484, 1066, 18856, 3630, 1066, 1019, 1066, 1024, 1039, 1010, 5354, 1012, 1022, 1025, 1044, 1010, 1020, 1012, 1017, 1025, 1050, 1010, 1017, 1012, 1021, 1025, 2179, 1024, 1039, 1010, 5354, 1012, 1022, 1025, 1044, 1010, 1020, 1012, 1019, 1025, 1050, 1010, 1017, 1012, 1020, 1025, 1032, 1031, 1155, 1032, 1033, 1066, 1040, 1066, 1034, 2322, 1034, 1011, 4868, 1012, 1018, 1006, 1039, 1015, 1012, 6185, 1010, 10381, 1066, 1017, 1066, 18856, 1007, 1025, 1008, 1049, 1008, 1027, 29335, 1012, 5594, 1043, 1013, 9587, 2140, 1012, 25416, 3170, 3672, 1063, 1001, 25416, 3170, 3672, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 9732, 13353, 2020, 2872, 1999, 10174, 13433, 27466, 2007, 1039, 1011, 1011, 1044, 5416, 12103, 1999, 1996, 2846, 2013, 1014, 1012, 5345, 2000, 1015, 1012, 4002, 1037, 1998, 15514, 2004, 5559, 2006, 2037, 6687, 13353, 2007, 1008, 1057, 1008, 1066, 11163, 1066, 1027, 1015, 1012, 1016, 2030, 1015, 1012, 1019, 1008, 1060, 1057, 1008, 1066, 1041, 4160, 1066, 1006, 1039, 1007, 1012, 4481, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 999, 1031, 1996, 8382, 3252, 1997, 1996, 2516, 7328, 1010, 4760, 1996, 3830, 2989, 1997, 2035 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 13853, 1011, 8878, 19057, 6833, 1006, 6187, 9468, 2015, 1007, 2377, 2019, 2590, 2535, 1999, 4958, 8939, 24587, 3595, 3258, 1997, 16175, 2135, 4570, 1998, 2300, 1010, 16792, 9099, 16256, 1010, 7816, 1997, 11265, 21017, 2389, 1998, 15050, 4654, 26243, 8010, 1010, 1998, 7816, 1997, 21449, 4309, 1006, 7530, 24085, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 29491, 2475, 1033, 1025, 3149, 23718, 4076, 3656, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 2475, 1033, 1007, 1012, 1037, 2266, 1997, 1037, 6187, 1034, 1016, 1009, 1034, 1011, 7591, 18856, 1034, 1597, 1034, 3149, 2155, 1006, 18856, 3540, 2487, 1007, 1010, 3872, 1011, 12222, 19057, 3149, 1006, 18856, 2278, 1011, 1017, 1007, 1010, 2190, 18981, 10606, 2015, 1998, 1056, 28394, 3723, 2020, 3818, 2004, 1996, 6187, 9468, 4018, 8171, 1025, 2174, 1010, 1996, 16012, 23302, 2838, 1997, 1996, 14731, 19872, 2011, 2122, 6833, 2024, 2367, 2013, 2216, 1997, 3128, 4556, 6187, 9468, 2015, 1006, 7530, 24085, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 29491, 2509, 1033, 1007, 1012, 21770, 10624, 21197, 3560, 3670, 1997, 1996, 8171, 2019, 10085, 15464, 2378, 1011, 1015, 1006, 2019, 2080, 2487, 1025, 1056, 4168, 2213, 16048, 2050, 1007, 1998, 2019, 2080, 2475, 1006, 1056, 4168, 2213, 16048, 2497, 1007, 1999, 1037, 3528, 1997, 3526, 4127, 2550, 13853, 1011, 8878, 19057, 14731, 1032, 1031, 1008, 1045, 1008, 1066, 18856, 1006, 6187, 1007, 1066, 1032, 1033, 1010, 2007, 16012, 23302, 6459, 2714, 2000, 2216, 1997, 3128, 4556, 6187, 9468, 2015, 1012, 3568, 1010, 2019, 2080, 2487, 1998, 2019, 2080, 2475, 2031, 2042, 3818, 2004, 1996, 3117, 4018, 8171, 2005, 6187, 9468, 2015, 1006, 6178, 16161, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 2509, 1033, 1025, 8040, 8093, 29099, 2121, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 22022, 1033, 1025, 8675, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 20958, 1033, 1025, 14255, 12494, 2072, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 14142, 1033, 1007, 1012, 4745, 2913, 4081, 2008, 1996, 4962, 4031, 1997, 1008, 2019, 2080, 2487, 1008, 2001, 1996, 5250, 2920, 1999, 3128, 6187, 9468, 1999, 25320, 9353, 3981, 2099, 4442, 1006, 8675, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 20958, 1033, 1025, 15469, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 29491, 2581, 1033, 1025, 3142, 17868, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 22394, 1033, 1007, 1010, 4958, 8939, 24587, 4442, 1006, 15068, 7741, 3736, 24281, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 24594, 1033, 1025, 2600, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 16703, 1033, 1025, 4241, 5946, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 2581, 1033, 1007, 1010, 6970, 16643, 20925, 4442, 1997, 6187, 25787, 1006, 1044, 16600, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 29491, 2620, 1033, 1007, 1998, 5744, 6740, 4442, 1006, 15488, 6169, 1007, 1006, 4482, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 2629, 1033, 1025, 2158, 8162, 2100, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 18827, 1033, 1007, 1012, 6187, 9468, 2015, 2024, 5228, 1999, 2536, 2203, 14573, 24587, 3526, 4127, 1997, 2367, 2427, 1010, 2164, 19134, 21908, 16749, 2203, 14573, 24587, 4442, 1006, 9152, 15513, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1007, 1010, 8000, 20118, 13320, 2203, 14573, 24587, 4442, 1006, 10514, 2232, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1007, 1998, 2529, 8529, 14454, 7476, 12818, 2203, 14573, 24587, 4442, 1006, 1062, 19991, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 23777, 1033, 1007, 1012, 6187, 9468, 2015, 2031, 2042, 20467, 1999, 1996, 2491, 1997, 1996, 10804, 4022, 1010, 2029, 7126, 2000, 5441, 1996, 4439, 2486, 2005, 6187, 1034, 1016, 1009, 1034, 1012, 1999, 21449, 2203, 14573, 24587, 4442, 1010, 1996, 8345, 10804, 4022, 1006, 3155, 1597, 12740, 19842, 1007, 2003, 2062, 4997, 2084, 1996, 14442, 4022, 2005, 18856, 1034, 1597, 1034, 1006, 3155, 1597, 22407, 19842, 1007, 1006, 21058, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 22407, 1033, 1007, 1012, 2004, 1037, 9509, 1997, 3283, 26942, 1011, 10572, 3623, 1999, 22330, 13122, 23518, 6187, 1034, 1016, 1009, 1034, 1006, 1032, 1031, 6187, 1034, 1016, 1009, 1034, 1032, 1033, 1066, 1045, 1066, 1007, 1010, 6187, 9468, 2015, 2024, 8878, 1998, 18856, 1034, 1597, 1034, 3727, 1996, 3526, 1010, 2029, 3463, 1999, 1037, 5670, 1997, 1996, 10804, 4022, 1997, 2203, 14573, 24587, 4442, 2875, 1996, 18856, 1034, 1597, 1034, 14442, 4022, 1010, 1998, 4298, 29290, 1037, 4997, 12247, 2076, 3283, 26942, 20858, 1012, 3568, 1010, 6187, 9468, 2015, 2024, 8360, 2135, 2590, 1999, 1996, 2491, 1997, 1996, 10804, 4022, 1010, 1996, 4439, 2486, 2005, 6187, 1034, 1016, 1009, 1034, 18050, 1998, 7816, 1997, 6187, 1034, 1016, 1009, 1034, 21919, 1999, 2203, 14573, 24587, 4442, 1006, 7570, 6499, 3211, 1998, 2462, 19417, 1010, 1031, 1030, 29491, 2575, 1033, 1007, 1012, 6187, 9468, 2015, 2089, 2036, 2022, 2920, 1999, 2491, 1997, 3872, 1010, 3526, 4338, 1998, 3526, 20250, 1010, 2004, 2092, 2004, 26721, 16882, 6887, 7816, 1006, 9152, 15513, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1025, 7530, 24085, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 29491, 2475, 1033, 1007, 1012, 1996, 6187, 9468, 2015, 2024, 2920, 1999, 2116, 2590, 19389, 6194, 1999, 21449, 2203, 14573, 24587, 4442, 2021, 2037, 8382, 4767, 1998, 4395, 1999, 2003, 7507, 23238, 2278, 3785, 3961, 4242, 1012, 1999, 1996, 2556, 2817, 1010, 2057, 10847, 3251, 2019, 2080, 2487, 4972, 2004, 1037, 6187, 9468, 1998, 3251, 1044, 22571, 11636, 2401, 11477, 2015, 1996, 16012, 23302, 5144, 1997, 2019, 2080, 2487, 1999, 15050, 21449, 2203, 14573, 24587, 4442, 1006, 26226, 8586, 2015, 1007, 7275, 2013, 16231, 27815, 12328, 1012, 1996, 3117, 9556, 1997, 1996, 8360, 5144, 1997, 2019, 2080, 2487, 1999, 1996, 3671, 1998, 2003, 7507, 23238, 2278, 26226, 8586, 2015, 2089, 3073, 2047, 17261, 4539, 2005, 1996, 3949, 1997, 2003, 7507, 17577, 1011, 10572, 4053, 1999, 1996, 21449, 2291, 1012, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 12477, 1998, 3226, 1997, 26226, 8586, 2015, 1998, 2019, 2080, 2487, 4962, 9033, 7770, 6129, 1999, 26226, 8586, 2015, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2035, 4111, 2729, 1998, 6388, 8853, 2020, 4844, 2011, 1996, 5292, 27366, 2966, 2118, 4111, 10429, 2837, 1012, 2035, 2913, 5994, 4176, 2024, 2988, 1999, 10388, 2007, 1996, 7180, 11594, 2005, 7316, 7885, 5994, 4176, 1006, 17131, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 11387, 1033, 1025, 23220, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 21926, 1033, 1007, 1012, 2058, 3263, 4176, 2020, 2109, 1999, 1996, 7885, 2649, 2182, 1012, 16231, 27815, 28352, 2497, 1013, 1039, 12328, 2020, 4156, 2013, 6388, 4111, 2415, 1997, 5292, 27366, 2966, 2118, 1012, 26226, 8586, 2015, 2020, 7275, 2013, 1996, 2187, 18834, 7277, 4244, 1997, 8072, 2013, 16231, 27815, 12328, 1010, 2004, 3130, 2649, 1006, 14367, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 22932, 1033, 1007, 1010, 2007, 7263, 12719, 1012, 4780, 1010, 2169, 26781, 2001, 2872, 2006, 1037, 4261, 7737, 2278, 4860, 1011, 4758, 11687, 2005, 2236, 2019, 25344, 2013, 17630, 24501, 16781, 2015, 1997, 1017, 1012, 1014, 1003, 11163, 10258, 4648, 2638, 1999, 7722, 1012, 2044, 9617, 25344, 1010, 1996, 8072, 2020, 2855, 4654, 18380, 2094, 1998, 8871, 1010, 2059, 8117, 11788, 1999, 3256, 1011, 3147, 20194, 1011, 2489, 1040, 4168, 2213, 1012, 1996, 2012, 14482, 1010, 15050, 17355, 1998, 2157, 18834, 7277, 2571, 2020, 10040, 2104, 1037, 24635, 1012, 2059, 1996, 7275, 2187, 18834, 7277, 4244, 2020, 26275, 1999, 3963, 1003, 22886, 2005, 2184, 1055, 2000, 14386, 9080, 4697, 8680, 4232, 4818, 2033, 6499, 10760, 6632, 2140, 1998, 2203, 24755, 25070, 2203, 14573, 24587, 4442, 1012, 1996, 2187, 18834, 7277, 7934, 8153, 2001, 22126, 8117, 11788, 1998, 4015, 2046, 1037, 7270, 4820, 1019, 19875, 1997, 3046, 4523, 2378, 1006, 1014, 1012, 2423, 1003, 1007, 2005, 3807, 2005, 1019, 8117, 2012, 4261, 1034, 1051, 1034, 1039, 1010, 1999, 1037, 5513, 2300, 7198, 1012, 4487, 24137, 7405, 3064, 4442, 2020, 21839, 2083, 1037, 2531, 1166, 2213, 20437, 11307, 1998, 9358, 3089, 11263, 5999, 2012, 2531, 26306, 1008, 1043, 1008, 2005, 1019, 8117, 1999, 1037, 10203, 9358, 3089, 11263, 3351, 1006, 1039, 2509, 2072, 9358, 3089, 11263, 3351, 1010, 8183, 13860, 12030, 1010, 3002, 1011, 12810, 15987, 1010, 2605, 1007, 1012, 4442, 2020, 24501, 2271, 11837, 5732, 1999, 1040, 4168, 2213, 20585, 2007, 2184, 1003, 1042, 5910, 1010, 2531, 1045, 2226, 19875, 1034, 1597, 2487, 1034, 7279, 28775, 21202, 1998, 2531, 1166, 2290, 19875, 1034, 1597, 2487, 1034, 2358, 2890, 13876, 16940, 15459, 1010, 1998, 2059, 4015, 2046, 1037, 3526, 3226, 9841, 2005, 2382, 8117, 2012, 4261, 1034, 1051, 1034, 1039, 1999, 1019, 1003, 2522, 1066, 1016, 1066, 4297, 19761, 4263, 2000, 6366, 1996, 4987, 10882, 12618, 28522, 12837, 1012, 2044, 2122, 8853, 1010, 1996, 26226, 8586, 2015, 2020, 22629, 1006, 14367, 1008, 3802, 2632, 1008, 1012, 1010, 1031, 1030, 1038, 22932, 1033, 1007, 1998, 2020, 4453, 2478, 3729, 21486, 27781, 1012, 1996, 2512, 1011, 4987, 14874, 26226, 8586, 2015, 2020, 5067, 1998, 13916, 3031, 4472, 15000, 2015, 2030, 10447, 2005, 1996, 2206, 7885, 1012, 1996, 26226, 8586, 2015, 2584, 100, 1003, 13693, 2306, 1017, 1011, 1011, 1018, 2420, 1998, 6913, 6375, 1005, 17176, 4244, 5524, 1005, 19476, 2104, 9380, 24635, 1998, 2020, 3201, 2005, 1996, 7885, 1012, 2019, 2080, 2487, 4962, 9033, 7770, 6129, 2001, 3344, 2041, 2004, 4076, 1012, 8292, 25465, 2015, 2020, 3226, 2094, 1999, 1020, 1011, 2092, 7766, 1012, 2044, 4442, 2150, 3770, 1003, 9530, 10258, 24997, 2102, 1010, 2019, 2080, 2487, 1011, 3563, 2235, 2606, 8091, 12987, 2015, 1006, 14021, 12789, 2015, 1007, 2020, 9099, 25969, 2098, 2478, 5423, 11253, 22471, 19915, 2456, 1006, 1999, 5737, 13181, 6914, 1010, 5529, 19022, 4215, 1010, 6187, 1010, 3915, 1007, 1012, 1996, 10071, 1997, 14021, 12789, 9570, 2015, 2024, 3205, 1999, 12448, 1031, 2795, 1015, 1033, 1006, 1001, 17371, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1012, 1996, 14021, 12789, 2015, 2020, 17598, 2094, 2046, 1996, 18720, 14289, 2575, 1013, 1043, 22540, 1013, 9253, 1011, 14021, 12789, 9207, 2011, 19274, 2075, 9570, 2015, 2046, 1996, 1017, 1032, 1005, 1011, 21183, 2099, 1997, 1996, 1043, 22540, 4962, 1006, 4962, 21890, 17830, 1010, 8344, 1010, 2859, 1007, 1012, 9312, 1997, 4962, 9033, 7770, 6129, 8122, 4632, 22916, 1006, 1053, 5339, 1011, 7473, 2099, 1998, 2530, 1038, 10994, 4632, 22916, 1007, 2020, 2864, 4466, 17850, 2015, 2044, 9099, 25969, 3258, 1012, 1999, 2804, 1010, 1996, 2665, 22184, 5250, 1006, 1043, 22540, 1007, 2001, 2109, 2004, 2019, 3176, 17245, 2005, 3112, 1997, 9099, 25969, 3258, 1012, 20155, 2613, 1011, 2051, 7473, 2099, 1006, 1053, 5339, 1011, 7473, 2099, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2561, 12987, 2001, 15901, 2013, 26226, 8586, 2015, 2478, 13012, 6844, 2140, 2128, 4270, 3372, 1006, 1999, 5737, 13181, 6914, 1010, 5529, 19022, 4215, 1010, 6187, 1010, 3915, 1007, 1012, 7901, 14193, 2001, 2864, 2007, 1996, 19387, 2291, 8778, 1999, 1037, 2322, 1166, 2140, 4668, 8150, 1012, 2561, 12987, 1006, 1015, 1166, 2290, 1007, 2001, 2109, 1999, 1996, 4668, 1010, 1998, 1037, 6721, 3539, 2099, 2001, 2109, 2005, 1996, 17890, 1997, 3729, 2532, 10752, 1010, 1996, 4668, 8150, 2001, 4297, 19761, 3064, 2012, 2423, 1034, 1051, 1034, 1039, 2005, 2184, 8117, 1010, 4261, 1034, 1051, 1034, 1039, 2005, 6036, 8117, 1998, 5594, 1034, 1051, 1034, 1039, 2005, 1019, 8117, 1010, 4414, 1012, 2059, 1053, 5339, 1011, 7473, 2099, 2001, 2864, 2478, 1996, 11113, 2072, 26113, 9683, 2692, 5537, 10788, 2291, 2007, 25353, 19892, 2665, 7473, 2099, 2128, 4270, 7666, 1006, 4162, 16012, 29390, 1010, 3915, 1007, 1012, 1996, 3539, 2869, 2109, 2024, 3205, 1999, 12448, 1031, 2795, 1015, 1033, 1006, 1001, 17371, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 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, 1037, 3611, 2003, 8615, 2000, 2031, 2915, 2757, 2010, 4256, 1998, 2684, 2044, 4688, 1999, 3524, 2005, 2068, 1010, 2077, 3810, 1996, 3282, 2006, 2370, 2012, 1037, 5742, 4770, 2482, 2380, 1012, 9993, 7530, 1010, 5388, 1010, 2040, 1037, 20065, 4447, 2320, 5561, 2032, 2007, 1037, 13305, 1010, 2003, 3373, 2000, 2031, 2915, 2010, 2564, 6249, 1010, 4868, 1010, 1998, 2037, 2684, 5904, 1010, 2539, 1010, 1999, 12403, 24573, 1010, 11409, 6169, 1010, 2012, 1023, 3286, 7483, 2851, 1012, 3590, 5904, 7530, 1010, 2539, 1010, 2007, 2014, 2388, 6249, 7530, 1010, 4868, 4923, 1024, 25430, 3619, 1011, 4729, 3590, 9993, 7530, 1010, 5388, 1010, 2003, 2245, 2000, 2031, 22079, 2098, 2091, 2010, 2564, 1998, 2684, 1999, 1037, 5742, 4770, 2482, 2380, 2651, 4923, 1024, 25430, 3619, 1011, 4729, 3590, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 5904, 1998, 2014, 2388, 1010, 6249, 1010, 2024, 2245, 2000, 2031, 2042, 2915, 2011, 2269, 9993, 7530, 2023, 2851, 2610, 2020, 2170, 2000, 1996, 3317, 2998, 3375, 1999, 12403, 24573, 1010, 11409, 6169, 1010, 2012, 2105, 1023, 3286, 7483, 2851, 2044, 22077, 2015, 2020, 2657, 1012, 14754, 2000, 1996, 7530, 2155, 2188, 2409, 2129, 2610, 25430, 20671, 2006, 1996, 12230, 21853, 17914, 1010, 2199, 2176, 2793, 2160, 1999, 3518, 9587, 22145, 1010, 2012, 2055, 2184, 3286, 1011, 2019, 3178, 2044, 2027, 2020, 2915, 1012, 3738, 2031, 2144, 2042, 23530, 1996, 3200, 2073, 6249, 1998, 9993, 7530, 2973, 2007, 5904, 1010, 1998, 4124, 4575, 1010, 2423, 1010, 1998, 5355, 1010, 2656, 1010, 2005, 2698, 2086, 1012, 1996, 2155, 2018, 3728, 2853, 2037, 21853, 12740, 1010, 2199, 2176, 1011, 2793, 12230, 2160, 1998, 12890, 2018, 2025, 2042, 2464, 1523, 2005, 3134, 1524, 2011, 14754, 1012, 2028, 14412, 7483, 2056, 1024, 1000, 1045, 2657, 2027, 2020, 2383, 2070, 2502, 3510, 3471, 1998, 2008, 1005, 1055, 2339, 2027, 2853, 1996, 2160, 1012, 1524, 2009, 2038, 2042, 2988, 6249, 2018, 2409, 2032, 2016, 2001, 2975, 2032, 2420, 3130, 1012, 9993, 2354, 1996, 3940, 2052, 2022, 2183, 5742, 2008, 2851, 1998, 2009, 2003, 2245, 2002, 11041, 2104, 1037, 2482, 2000, 3524, 1010, 2077, 15283, 2075, 2068, 2007, 1037, 13305, 1012, 1037, 20065, 3555, 1996, 2160, 5096, 2018, 2042, 1037, 7226, 2000, 5853, 4221, 2037, 2656, 1011, 2095, 3510, 2044, 2037, 2336, 2018, 2187, 2188, 1012, 1996, 2767, 2056, 1024, 1000, 1996, 3008, 2020, 2559, 2830, 2000, 1037, 4840, 2707, 1999, 1037, 3760, 2047, 2188, 1012, 1524, 2002, 2794, 1024, 1000, 6249, 2001, 22331, 2055, 1996, 2693, 2074, 2197, 2733, 1012, 2016, 2790, 27999, 1998, 3043, 1997, 2755, 2055, 2009, 1012, 1523, 2016, 2056, 1010, 1005, 2057, 1005, 2128, 2012, 2008, 2754, 1999, 2166, 1010, 1037, 16760, 1998, 2020, 3048, 2830, 1998, 2559, 2830, 1521, 1012, 1000, 1037, 20065, 2124, 2069, 2004, 2848, 1010, 2649, 9993, 1010, 2040, 2003, 5319, 2000, 2031, 2499, 2012, 1037, 3518, 16472, 1005, 10310, 1010, 2004, 1000, 1996, 3835, 3367, 3124, 2017, 2071, 2412, 3113, 1000, 1998, 2056, 2002, 1005, 1005, 2052, 2079, 2505, 2005, 3087, 1005, 1005, 1012, 3590, 5904, 7530, 2315, 7246, 2004, 1996, 2611, 2040, 2001, 2915, 2757, 2007, 2014, 2388, 6249, 7530, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 1009, 4008, 1006, 1014, 1007, 12567, 21057, 28756, 24087, 2692, 3590, 5904, 5690, 1010, 2040, 2001, 2012, 1996, 2118, 1997, 15944, 1010, 2003, 3373, 2000, 2031, 2042, 2915, 2011, 2014, 2269, 2023, 2851, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 1996, 2155, 1005, 1055, 2280, 2279, 2341, 20065, 4447, 9993, 2320, 5561, 2032, 2007, 1037, 13305, 2076, 1037, 5216, 2055, 1037, 5645, 2697, 4646, 1012, 3960, 18031, 1010, 5187, 1010, 2056, 1024, 1000, 9993, 2001, 2019, 1037, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1012, 7249, 2002, 2253, 2002, 11654, 2111, 1012, 1000, 1045, 1005, 2310, 2288, 2070, 2455, 1998, 2055, 2321, 2086, 3283, 1010, 1045, 2404, 1999, 1037, 4041, 4646, 2000, 2404, 2070, 5645, 6597, 1999, 1012, 1000, 2002, 15959, 2000, 1996, 2473, 2006, 1996, 5286, 2008, 2010, 2365, 2018, 1037, 21443, 2035, 24395, 1998, 3869, 4521, 27613, 1012, 1000, 1045, 2018, 2000, 6011, 2000, 1996, 2473, 3869, 2123, 1005, 1056, 4521, 27613, 1998, 2288, 2009, 4844, 2021, 2009, 2074, 3662, 2002, 2001, 3697, 1012, 1000, 1045, 2001, 2006, 2026, 2455, 1998, 2002, 2939, 2408, 2007, 1037, 2260, 1011, 8501, 13305, 3038, 1010, 1005, 2033, 1998, 2017, 2031, 2288, 1037, 3291, 1005, 1012, 1000, 2002, 2001, 4415, 2667, 2000, 20014, 27605, 13701, 2033, 2061, 1045, 2056, 1005, 2339, 2031, 2017, 2716, 2008, 1029, 1005, 2057, 2318, 9177, 1998, 2776, 2002, 2404, 2009, 2091, 1012, 1000, 3611, 1011, 1997, 1011, 2093, 3960, 1010, 2013, 15536, 19022, 15937, 2358, 2984, 1010, 11503, 5910, 1012, 1010, 2056, 2002, 5319, 9993, 2018, 1037, 13305, 11172, 2021, 4999, 3251, 2009, 2052, 2031, 2042, 22837, 2065, 2002, 1005, 1040, 2988, 1996, 5043, 1012, 1000, 1045, 2001, 3241, 7483, 2008, 2065, 1045, 1005, 1040, 2031, 2988, 2032, 2005, 2008, 2027, 1005, 1040, 2031, 2579, 2010, 11172, 2125, 2032, 1010, 1000, 2002, 2056, 1012, 2059, 2010, 2684, 1998, 2564, 2052, 2145, 2022, 4142, 1012, 1000, 2044, 1996, 6685, 2002, 2001, 2061, 19810, 2008, 2002, 2404, 1996, 2160, 2039, 2005, 5096, 1998, 2001, 2908, 2306, 2706, 1012, 1000, 2044, 2008, 3047, 1045, 2356, 2111, 1998, 2027, 2409, 2033, 2002, 5754, 27153, 3071, 1012, 4593, 2002, 2973, 1999, 15536, 19022, 15937, 2077, 1998, 2002, 2018, 2000, 2681, 2045, 2138, 2002, 3062, 2041, 2007, 3071, 1012, 1000, 2178, 20065, 2649, 1996, 7530, 2015, 1010, 2040, 2024, 3373, 2000, 2031, 2288, 2496, 1999, 2901, 1010, 2004, 1996, 1000, 2293, 21292, 3232, 2412, 1000, 1012, 3590, 2195, 2816, 2020, 1999, 5843, 7698, 2044, 1996, 5008, 2015, 1998, 2111, 1999, 1996, 5742, 4770, 2031, 2042, 2921, 2503, 4923, 1024, 3712, 2739, 3590, 4923, 1024, 3712, 2739, 1996, 2450, 1010, 2040, 2106, 2025, 4299, 2000, 2022, 2315, 1010, 2056, 1024, 1000, 2027, 2020, 2019, 7078, 8403, 2155, 1012, 1000, 2027, 2020, 1996, 2293, 21292, 3232, 2412, 1012, 2057, 2123, 1005, 1056, 2113, 2068, 2092, 2021, 4400, 2000, 2068, 2043, 2057, 2156, 2068, 1012, 1000, 1045, 2064, 1005, 1056, 5674, 2339, 2027, 2031, 18784, 2008, 2160, 1012, 2027, 2018, 2093, 4268, 1010, 2048, 3337, 1998, 1037, 2611, 1012, 1000, 1005, 1996, 2160, 2003, 2039, 2005, 5096, 2021, 1045, 2064, 1005, 1056, 5674, 2027, 2052, 2031, 2187, 2302, 3038, 9119, 1012, 1000, 5904, 2001, 5702, 2012, 1996, 2118, 1997, 15944, 2021, 2001, 2188, 2005, 1996, 2621, 11938, 1012, 1996, 2118, 2207, 1037, 4861, 7079, 7050, 2000, 5904, 1010, 2040, 2018, 2074, 2736, 1996, 2034, 2095, 1997, 1037, 3054, 19993, 2854, 2607, 1012, 2984, 5690, 3051, 1010, 3026, 9162, 1999, 3054, 19993, 2854, 1010, 2056, 1024, 1000, 1996, 2493, 1998, 3095, 2012, 1996, 2118, 1997, 15944, 2024, 6171, 6517, 24589, 2000, 2963, 1997, 5904, 1005, 1055, 2331, 1012, 1000, 5904, 2001, 8403, 2402, 2450, 1010, 2040, 1005, 1055, 4251, 1010, 5379, 5450, 2366, 2014, 2092, 2007, 2014, 3834, 2913, 2012, 2118, 1998, 2076, 2014, 6612, 11073, 2007, 17710, 19567, 2236, 2902, 1012, 1000, 5904, 2001, 2092, 4669, 1998, 5186, 2524, 2551, 2802, 2014, 2913, 1025, 2004, 2092, 2004, 2043, 2016, 2001, 2652, 2005, 1996, 2118, 1997, 15944, 2493, 1005, 2586, 13488, 2136, 1012, 1000, 5904, 2001, 1037, 8403, 2711, 1010, 2040, 2097, 2022, 14699, 2135, 4771, 1012, 2256, 4301, 1998, 12583, 2175, 2041, 2000, 2014, 2155, 1998, 2814, 2012, 2023, 3697, 2051, 1012, 1000, 1037, 2280, 20065, 1997, 9993, 7530, 1005, 1055, 3008, 1010, 7638, 1998, 16847, 7530, 1010, 2056, 1024, 1000, 2002, 2001, 1037, 5379, 3124, 1010, 1045, 2876, 1005, 1056, 2031, 1037, 2919, 2773, 2000, 2360, 2055, 2032, 1010, 2021, 1045, 2354, 2032, 5109, 3283, 1012, 1000, 3590, 14754, 1997, 1996, 2155, 2056, 2027, 2020, 4855, 1996, 2160, 1999, 9587, 22145, 2379, 12403, 24573, 4923, 1024, 25430, 3619, 1011, 4729, 3590, 5904, 1998, 2014, 2388, 1010, 6249, 1010, 2020, 2145, 4142, 2043, 11498, 7583, 6558, 3369, 2021, 2027, 2020, 4039, 2000, 2022, 5552, 4923, 1024, 25430, 3619, 1011, 4729, 3590, 22077, 2015, 2020, 2657, 2011, 3518, 16472, 1998, 2111, 1999, 1996, 5742, 4770, 2040, 2743, 2000, 2393, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 3590, 1996, 2155, 2001, 2056, 2000, 2031, 2973, 1999, 9587, 22145, 1010, 2379, 12403, 24573, 1010, 2005, 1037, 2193, 1997, 2086, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 16628, 2610, 4484, 2074, 2044, 1018, 9737, 2651, 2008, 1996, 2111, 2730, 2020, 2048, 2308, 1998, 1037, 2158, 1012, 1037, 13305, 2003, 3373, 2000, 2031, 2042, 2920, 1010, 1998, 3738, 2024, 2145, 2559, 2046, 1996, 6214, 4193, 1996, 5008, 1012, 10558, 4484, 1996, 5043, 2001, 2025, 7404, 1011, 3141, 1998, 2009, 2003, 2108, 15520, 2008, 1996, 5043, 2003, 5799, 2000, 1037, 4968, 7593, 1012, 9133, 2703, 5199, 21266, 8280, 1996, 2811, 2023, 5027, 2648, 1996, 12403, 24573, 2610, 2276, 1998, 2056, 1024, 1000, 2057, 2903, 2035, 2216, 2920, 2020, 2124, 2000, 2169, 2060, 2021, 2057, 2024, 2025, 1999, 1037, 2597, 2000, 2713, 2037, 3415, 1998, 2037, 3276, 2000, 2169, 2060, 1012, 1000, 10514, 13876, 20014, 2056, 2053, 2062, 7928, 2052, 2022, 2081, 2011, 1996, 2610, 2651, 1012, 3590, 2009, 2003, 5319, 5904, 2001, 5702, 2012, 1996, 2118, 1997, 15944, 2021, 2001, 2188, 2005, 1996, 2621, 11938, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 3590, 1037, 2485, 20065, 2056, 1997, 2539, 1011, 2095, 1011, 2214, 5904, 1024, 1000, 2016, 2001, 2428, 3835, 1998, 5379, 1012, 1000, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 3590, 1037, 2485, 2767, 2040, 2106, 2025, 4299, 2000, 2022, 2315, 2649, 1996, 2155, 2004, 1000, 2019, 7078, 8403, 2155, 1000, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 3590, 9133, 2703, 5199, 21266, 3331, 2012, 1037, 2811, 3034, 2023, 5027, 1010, 2206, 1996, 5008, 1999, 12403, 24573, 4923, 1024, 25430, 3619, 1011, 7873, 1009, 4008, 1006, 1014, 1007, 12567, 21057, 28756, 24087, 2692, 2610, 2020, 2197, 2305, 27805, 1037, 2186, 1997, 1996, 3232, 1521, 1055, 7541, 2814, 2206, 1996, 5008, 2074, 2044, 1023, 3286, 1999, 12403, 24573, 1010, 11409, 6169, 1012, 1996, 2155, 2020, 2056, 2000, 2022, 1523, 3899, 4689, 1524, 1998, 2127, 3728, 2018, 2093, 1997, 1996, 18551, 1010, 2029, 2027, 11089, 2098, 2006, 1012, 9959, 1521, 1055, 7309, 6249, 2001, 2056, 2000, 2022, 3391, 2485, 2000, 5904, 1012, 9081, 5904, 1010, 1996, 6587, 1997, 2037, 1523, 4408, 1524, 2336, 2018, 3230, 1996, 2237, 1521, 1055, 2152, 2082, 2005, 3057, 1998, 2001, 2055, 2000, 2707, 2014, 2117, 2095, 1997, 3054, 19993, 2854, 2012, 15944, 2118, 1010, 1999, 2244, 1012, 2016, 2001, 1037, 10326, 7945, 1998, 8088, 1998, 2014, 9130, 6337, 3662, 2016, 2018, 5632, 8932, 2164, 1037, 4440, 2000, 2660, 1012, 2014, 6898, 3841, 21960, 1010, 2322, 1010, 1997, 12170, 9623, 3334, 1010, 20124, 1012, 1010, 2001, 2197, 2305, 2205, 6314, 2000, 7615, 1012, 1037, 2450, 1010, 5319, 2000, 2022, 2010, 12954, 17388, 1010, 2409, 1996, 3103, 1024, 1000, 3841, 2038, 2069, 2074, 2657, 1012, 1045, 2123, 1005, 1056, 2228, 2002, 1005, 2222, 2215, 2000, 2831, 1011, 2002, 1005, 1055, 2074, 2205, 6314, 1012, 1000, 2500, 2814, 2409, 2129, 2720, 7530, 1010, 2040, 2018, 2036, 2499, 2012, 1037, 12508, 1521, 1055, 10310, 1010, 2001, 1037, 4487, 2100, 27885, 8583, 12742, 2040, 3866, 2551, 2007, 2373, 5906, 1012, 2028, 20065, 1010, 2485, 2000, 1996, 2155, 2188, 1999, 9587, 22145, 1010, 11409, 6169, 1012, 1010, 2056, 1024, 1523, 2002, 2018, 2035, 1996, 1996, 5906, 1998, 2052, 2393, 2033, 2041, 2013, 2051, 2000, 2051, 1012, 1523, 2002, 3866, 1996, 6681, 1011, 2021, 1045, 2018, 2053, 2801, 2002, 2001, 2046, 4409, 1010, 2030, 2130, 3079, 1037, 3282, 1012, 1524, 3590, 2610, 8587, 2379, 1996, 2609, 1997, 1996, 5008, 2029, 2187, 2093, 2111, 2757, 1010, 2164, 1996, 3282, 2386, 1010, 2023, 2851, 4923, 1024, 19044, 3590, 15359, 2780, 2147, 2012, 1996, 3496, 1997, 1996, 5008, 2015, 2004, 2610, 8556, 2054, 3047, 2012, 1996, 5742, 4770, 2482, 2380, 1999, 12403, 24573, 4923, 1024, 25430, 3619, 1011, 4729, 1011, 1037, 12508, 1010, 2040, 2699, 2000, 3828, 1996, 2048, 5694, 1010, 2409, 1996, 10013, 1024, 1000, 2012, 2055, 3157, 1051, 1005, 5119, 2093, 7171, 2253, 2125, 2096, 1045, 2001, 2551, 2006, 1996, 2311, 2609, 1012, 1045, 2743, 2408, 1996, 2482, 2380, 1010, 5598, 2058, 1996, 8638, 1998, 2253, 2000, 2393, 1012, 1000, 2043, 1045, 3369, 2045, 2001, 2069, 2033, 1998, 2178, 14804, 2013, 1996, 5742, 4770, 2040, 2001, 2667, 2000, 2393, 1012, 1000, 2045, 2020, 2093, 2111, 5229, 1012, 2009, 2246, 2066, 1996, 2158, 2018, 2589, 1996, 2060, 2048, 1998, 2589, 2185, 2007, 2370, 1012, 1000, 2045, 2001, 1037, 2158, 1010, 2019, 3080, 2450, 1010, 1998, 1037, 3920 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6275, 10250, 1012, 10439, 1012, 7605, 6445, 1006, 3301, 1007, 14748, 10250, 1012, 1054, 13876, 2099, 1012, 6390, 2221, 1997, 1999, 7677, 1010, 9964, 2121, 1010, 1058, 1012, 2103, 1997, 3050, 3349, 3802, 2632, 1012, 1010, 25094, 1012, 8946, 3388, 2053, 1012, 15028, 20842, 1012, 2457, 1997, 9023, 1997, 2662, 1010, 2353, 2212, 1012, 2337, 2676, 1010, 3301, 1012, 1008, 6391, 9517, 1048, 1012, 1044, 1012, 22194, 1010, 2212, 4905, 1010, 1998, 4980, 5811, 5804, 2005, 9964, 2121, 1012, 18611, 17527, 1010, 2103, 4905, 1010, 3487, 1039, 1012, 16248, 1010, 2708, 3353, 2103, 4905, 1010, 8856, 1059, 1012, 2091, 3240, 1010, 3353, 2103, 4905, 1010, 1998, 6221, 1040, 1012, 9762, 2005, 25094, 1012, 5448, 18486, 1010, 1046, 1012, 2057, 9772, 1999, 7677, 2221, 1005, 1055, 4367, 2005, 17727, 19234, 1997, 5366, 1006, 3815, 2075, 2000, 1002, 1015, 1010, 5757, 2581, 1012, 6079, 1007, 1998, 2019, 4905, 7408, 1006, 1997, 1002, 5594, 1010, 25491, 1012, 2753, 1007, 2114, 1996, 15316, 2283, 1010, 2103, 1997, 3050, 3349, 1012, 1996, 9870, 2003, 2019, 2434, 11405, 2895, 1999, 2029, 1999, 7677, 2221, 2003, 1996, 9964, 2121, 1998, 3050, 3349, 1996, 6869, 4765, 1012, 1999, 3381, 2057, 3843, 1037, 23976, 27718, 10253, 25697, 1997, 11405, 9855, 1996, 2103, 1997, 3050, 3349, 1998, 2049, 2533, 1997, 2300, 1998, 2373, 2000, 7374, 2019, 4483, 4254, 1008, 5594, 3189, 5266, 2037, 3445, 14676, 1998, 2224, 1997, 14824, 3028, 22761, 1012, 1006, 2221, 1997, 1999, 7677, 1058, 1012, 10930, 5339, 2100, 1006, 3381, 1007, 3590, 10250, 1012, 10439, 1012, 7605, 6535, 2629, 1031, 10715, 10250, 1012, 1054, 13876, 2099, 1012, 4261, 2581, 1033, 1025, 2156, 2036, 1010, 2221, 1997, 1999, 7677, 1058, 1012, 2103, 1997, 3050, 3349, 1006, 3299, 1007, 6079, 10250, 1012, 10439, 1012, 7605, 6205, 1031, 14078, 10250, 1012, 1054, 13876, 2099, 1012, 16785, 1033, 1012, 1007, 2004, 2049, 2709, 2000, 1996, 25697, 1997, 11405, 1996, 2103, 1997, 3050, 3349, 4810, 1998, 6406, 2019, 4483, 4254, 3189, 1012, 2083, 2049, 2212, 4905, 1998, 2049, 6025, 2569, 9517, 1010, 1999, 7677, 2221, 3591, 28760, 1010, 10637, 1998, 6685, 2881, 2000, 10580, 1996, 19528, 3012, 1997, 1996, 4483, 4254, 3189, 1012, 2006, 2238, 2676, 1010, 3355, 2057, 6406, 1037, 3247, 22663, 1996, 2221, 1005, 1055, 2597, 1012, 2057, 2218, 2008, 1996, 4483, 4254, 3189, 26946, 2007, 4445, 1996, 2662, 4483, 3737, 2552, 4496, 1996, 25697, 1997, 11405, 1012, 1999, 1996, 6912, 1997, 2256, 5719, 7360, 1010, 2057, 2856, 1996, 2103, 2000, 2202, 1000, 16286, 4654, 5669, 25090, 3560, 2895, 1000, 2000, 14037, 2007, 1996, 25697, 1012, 1006, 2221, 1997, 1999, 7677, 1058, 1012, 2103, 1997, 3050, 3349, 1006, 3355, 1007, 6390, 10250, 1012, 10439, 1012, 7605, 15376, 1031, 16621, 10250, 1012, 1054, 13876, 2099, 1012, 4464, 2575, 1033, 1012, 1007, 1996, 2110, 4259, 2457, 5837, 1996, 2103, 1005, 1055, 9964, 2005, 4994, 1012, 1996, 2221, 2059, 6406, 1996, 2556, 4367, 1012, 1045, 1006, 1015, 1007, 1996, 4243, 5981, 1996, 17060, 4757, 1997, 1996, 2221, 1005, 1055, 4646, 1012, 1999, 3653, 3217, 26792, 25697, 8931, 1999, 1996, 23240, 5434, 1996, 19283, 2283, 2089, 2022, 3018, 5366, 2021, 2069, 2011, 3257, 1997, 1996, 2457, 1999, 2049, 8689, 2030, 2077, 2049, 8689, 6561, 2345, 3012, 1012, 1006, 2586, 3404, 2522, 1012, 1058, 1012, 6020, 2457, 1006, 3912, 1007, 2410, 10250, 1012, 14134, 5139, 2487, 1010, 5139, 2509, 1011, 5139, 2549, 1031, 3938, 1052, 1012, 14134, 5388, 2475, 1033, 1012, 1007, 1996, 2103, 1005, 1055, 3715, 1997, 16985, 10672, 4757, 2003, 2241, 2588, 1996, 1000, 2345, 3012, 1000, 1997, 2256, 2238, 3355, 3247, 21936, 1996, 2103, 1005, 1055, 2709, 2000, 1996, 25697, 1997, 11405, 1012, 1996, 2051, 22718, 6126, 1999, 2586, 3404, 1010, 10514, 18098, 2050, 1010, 12402, 2013, 1996, 2457, 1005, 1055, 3768, 1997, 7360, 2044, 1996, 9870, 2003, 12527, 2011, 1037, 2345, 3247, 1012, 2256, 3247, 1997, 2238, 3355, 2001, 2019, 9455, 2028, 2029, 2106, 2025, 20320, 1996, 9870, 1025, 2738, 1010, 2009, 2001, 7356, 2011, 1037, 20125, 1997, 5719, 7360, 2000, 16306, 1996, 25697, 1997, 11405, 2127, 1996, 3732, 2018, 2042, 8510, 1012, 1006, 2221, 1997, 1999, 7677, 1058, 1012, 2103, 1997, 3050, 3349, 1010, 10514, 18098, 2050, 1010, 6390, 10250, 1012, 10439, 1012, 7605, 2012, 1052, 1012, 16327, 1025, 2221, 1997, 1999, 7677, 1058, 1012, 2103, 1997, 3050, 3349, 1010, 10514, 18098, 2050, 1010, 6079, 10250, 1012, 10439, 1012, 7605, 2012, 1052, 1012, 5345, 1012, 1007, 1037, 23976, 27718, 10253, 25697, 1997, 11405, 2515, 2025, 9352, 15095, 1996, 2457, 1005, 1055, 3691, 1025, 2073, 2009, 2515, 2025, 3073, 3143, 4335, 1010, 1996, 2457, 2089, 3613, 1996, 9870, 1998, 2191, 2107, 9455, 4449, 2004, 1996, 2553, 2089, 5478, 1012, 1006, 24334, 1058, 1012, 25204, 4017, 1012, 4632, 2078, 1012, 1997, 24532, 5498, 12837, 1006, 3699, 1007, 19883, 10250, 1012, 10439, 1012, 14134, 6282, 2581, 1010, 26667, 1031, 2756, 10250, 1012, 1054, 13876, 2099, 1012, 11827, 1033, 1012, 1007, 1999, 1996, 6438, 1997, 1037, 2345, 8689, 2057, 9279, 7360, 2058, 1996, 4243, 1998, 3395, 3043, 1010, 2004, 2092, 2004, 2019, 6895, 24435, 7360, 2000, 2400, 5366, 1012, 1008, 6564, 1006, 1016, 1007, 1996, 4366, 2005, 7511, 5366, 1997, 1002, 1015, 1010, 5757, 2581, 1012, 6079, 4472, 1996, 11727, 1997, 4766, 8021, 1010, 1037, 24051, 1998, 2326, 1997, 4981, 1012, 2122, 4593, 9979, 2069, 1996, 2221, 1005, 1055, 5366, 1997, 22363, 1996, 2103, 1005, 1055, 13990, 2709, 2000, 1996, 25697, 1998, 2025, 2035, 5366, 2144, 12149, 1997, 1996, 4848, 1012, 1996, 5227, 2003, 1037, 3538, 4168, 2389, 2028, 1012, 4298, 2057, 2342, 2025, 26751, 1996, 4848, 1005, 1055, 18287, 2077, 21467, 5366, 1012, 1999, 2151, 2724, 1010, 2057, 2202, 2256, 16091, 2013, 1996, 3465, 8853, 1999, 3979, 1998, 23240, 15382, 3227, 1012, 1999, 1037, 2236, 2126, 1010, 2122, 3073, 2005, 5366, 2004, 2019, 5043, 2000, 1996, 7209, 8689, 1999, 1996, 2895, 1012, 1006, 3642, 25022, 2615, 1012, 4013, 2278, 1012, 1010, 1073, 1073, 9800, 2487, 1010, 9800, 2475, 1010, 9800, 2509, 1025, 10250, 1012, 3513, 1997, 2457, 1010, 3627, 2656, 1006, 1037, 1007, 1012, 1007, 2065, 2069, 2004, 1037, 3043, 1997, 19258, 1010, 2057, 13366, 2121, 2895, 2006, 1999, 7677, 2221, 1005, 1055, 7704, 3021, 2005, 7511, 5366, 2127, 2009, 2003, 5100, 1999, 1037, 3143, 3465, 3021, 2012, 1996, 2485, 1997, 1996, 9870, 1012, 2462, 2057, 2735, 2000, 1996, 4905, 7408, 4366, 1012, 2930, 9402, 2487, 1010, 3642, 1997, 2942, 7709, 1010, 2003, 1996, 2662, 19429, 9031, 1997, 1996, 2236, 2137, 8998, 2029, 23439, 4905, 9883, 2000, 13846, 5507, 10762, 3215, 4983, 3024, 2011, 11671, 2030, 3206, 1012, 1999, 7677, 2221, 1005, 1055, 7408, 4646, 2003, 16764, 2006, 2093, 3513, 2030, 8106, 2029, 2536, 5434, 2031, 3858, 2004, 2512, 9153, 8525, 7062, 11790, 2000, 1996, 2236, 8998, 1024, 1996, 2797, 4905, 2236, 3627, 1010, 1996, 6937, 5770, 3627, 1998, 1996, 2310, 18684, 20771, 5507, 10762, 2102, 3627, 1012, 1006, 1996, 2221, 3408, 1996, 2197, 1996, 1000, 27885, 24979, 3686, 5248, 1000, 3627, 1012, 1007, 2122, 2024, 2093, 1997, 1996, 2176, 6481, 1010, 3513, 2030, 8474, 2649, 1999, 22737, 3630, 1058, 1012, 5011, 1006, 3355, 1007, 2322, 10250, 1012, 7605, 2423, 1031, 15471, 10250, 1012, 1054, 13876, 2099, 1012, 22904, 1010, 5179, 2683, 1052, 1012, 14134, 7558, 2509, 1033, 1010, 2029, 2057, 4618, 21893, 2004, 22737, 3630, 3523, 1012, 22737, 3630, 3523, 2649, 2048, 3858, 2662, 6481, 1010, 3513, 2030, 8106, 1010, 29217, 2013, 1996, 16112, 1041, 28298, 4204, 1997, 1996, 5434, 1012, 1000, 1036, 1996, 2034, 1997, 2122, 2003, 1996, 2092, 1011, 2511, 1000, 2691, 4636, 1000, 6958, 1024, 2043, 1037, 2193, 1997, 5381, 2024, 4709, 1999, 2691, 2000, 1037, 3563, 4636, 1010, 1998, 2019, 2895, 2716, 2011, 1037, 20579, 2030, 23953, 2005, 1996, 5770, 1997, 2035, 3463, 1999, 1996, 4325, 2030, 8347, 1997, 2008, 4636, 1010, 2107, 20579, 2030, 23953, 2089, 2022, 3018, 4905, 1005, 1055, 9883, 2041, 1997, 1996, 4636, 1012, 1012, 1012, 1012, 1006, 23842, 1007, 1996, 2117, 6958, 1010, 1997, 2062, 3522, 2458, 1010, 2003, 1996, 2061, 1011, 2170, 1000, 6937, 5770, 1000, 3627, 1024, 2043, 1037, 2465, 2895, 2030, 5971, 13819, 2895, 3463, 1999, 1996, 9530, 7512, 7941, 1997, 6937, 6666, 1010, 3251, 1997, 1037, 21877, 10841, 6200, 2854, 2030, 2512, 5051, 10841, 6200, 2854, 3267, 1010, 2588, 1996, 13474, 1999, 2107, 2019, 2895, 1010, 2008, 13474, 2089, 1010, 1999, 1996, 6912, 1997, 1996, 2457, 1005, 1055, 1041, 28298, 19258, 1010, 2022, 3223, 2000, 10750, 2070, 1997, 2216, 6666, 1999, 1996, 2433, 1997, 2019, 2400, 1997, 4905, 1005, 1055, 9883, 1012, 1005, 1000, 1006, 22737, 3630, 3523, 1010, 2012, 1052, 1012, 4090, 1012, 1007, 1006, 26424, 1007, 22737, 3630, 3523, 2649, 2048, 3176, 8106, 16764, 4321, 1999, 2976, 2553, 2375, 1012, 1000, 1996, 2034, 1997, 2122, 1010, 1999, 6767, 2140, 2615, 1031, 3968, 1033, 2982, 2114, 2019, 1008, 6584, 7116, 2040, 2038, 5224, 2019, 4895, 21001, 2895, 2030, 3639, 1036, 1000, 1999, 2919, 4752, 1010, 2310, 18684, 20771, 2135, 1010, 2215, 2239, 2135, 2030, 2005, 28558, 4436, 1000, 1005, 1006, 2340, 10250, 1012, 7605, 2012, 1052, 1012, 2656, 1031, 1040, 1005, 26445, 3597, 1058, 1012, 2604, 1997, 2966, 19684, 2015, 1006, 3326, 1007, 2340, 10250, 1012, 7605, 1015, 1006, 11176, 10250, 1012, 1054, 13876, 2099, 1012, 6275, 2575, 1010, 19611, 1052, 1012, 14134, 2184, 1007, 1033, 1007, 1012, 1012, 1012, 1000, 1006, 22737, 3630, 3523, 2012, 1052, 1012, 4413, 1025, 2021, 2156, 3766, 1058, 1012, 6097, 26797, 22263, 1006, 6940, 1007, 4464, 10250, 1012, 3770, 1010, 5594, 1011, 6564, 1007, 1012, 1006, 1019, 1007, 27394, 2013, 2019, 3041, 2662, 3247, 1010, 22737, 3630, 3523, 2649, 1996, 2959, 1010, 2030, 2797, 4905, 2236, 3399, 1999, 2122, 3408, 1024, 1000, 2023, 4145, 1010, 2004, 2057, 3305, 2009, 1010, 11014, 2000, 8627, 11072, 3466, 24133, 1037, 2844, 7740, 2030, 2120, 3343, 2011, 21467, 6937, 4905, 1005, 1055, 9883, 1010, 7539, 1997, 16362, 1005, 6204, 1010, 2000, 2216, 2040, 5147, 3288, 2107, 11072, 1998, 8558, 3288, 2055, 6666, 2000, 1037, 5041, 2465, 1997, 4480, 1012, 1000, 1006, 1040, 1005, 26445, 3597, 1058, 1012, 2604, 1997, 2966, 19684, 2015, 1010, 10514, 18098, 2050, 1010, 2340, 10250, 1012, 7605, 2012, 1052, 1012, 2676, 1012, 1007, 22737, 3630, 3523, 2253, 2006, 2000, 9603, 1996, 2797, 4905, 2236, 4145, 1024, 1000, 2947, 2009, 3849, 2000, 2022, 23133, 2008, 2065, 1037, 3979, 2457, 1012, 1012, 1012, 16463, 2008, 1996, 15382, 2038, 4504, 1999, 1996, 19354, 25027, 1997, 1037, 2844, 2030, 23382, 2135, 2590, 2270, 3343, 1010, 2008, 1996, 4072, 5366, 1997, 12329, 2023, 2765, 9099, 23865, 1996, 3265, 20579, 1005, 1055, 21877, 10841, 6200, 2854, 3037, 2000, 2019, 6698, 9034, 4942, 5332, 4305, 9276, 1010, 1998, 2008, 1037, 6937, 2193, 1997, 5381, 3233, 2000, 5770, 2013, 1996, 3247, 1010, 1996, 2457, 2089, 6912, 2049, 1041, 28298, 4204, 2000, 2400, 4905, 9883, 2006, 2023, 3399, 1012, 1000, 1006, 8909, 1012, 1010, 2012, 1052, 1012, 3429, 1012, 1007, 2009, 2003, 2025, 3056, 3251, 22737, 3630, 3523, 3832, 2000, 2695, 9869, 2176, 3584, 4781, 3005, 16246, 12064, 3596, 2052, 21208, 7408, 5097, 1025, 2030, 1010, 3251, 2009, 6414, 2649, 2195, 4518, 8146, 1999, 2029, 2137, 5434, 1010, 1999, 1996, 6912, 1997, 2019, 3181, 19258, 5649, 2373, 1010, 2031, 2042, 10427, 28488, 28667, 22048, 2000, 2216, 5097, 1012, 1996, 12064, 3989, 1997, 3584, 5675, 2063, 9428, 5942, 1037, 2457, 2000, 3231, 2169, 7408, 4366, 2114, 2169, 5675, 13686, 2004, 2049, 19777, 1012, 1996, 3181, 4761, 1997, 1996, 2400, 2001, 2649, 1998, 5754, 17287, 3064, 1999, 9360, 1058, 1012, 2665, 10593, 1006, 7131, 1007, 8746, 1057, 1012, 1055, 1012, 4720, 2581, 1031, 2656, 1048, 1012, 3968, 1012, 10630, 2581, 1033, 1010, 11867, 29181, 5657, 1058, 1012, 14841, 8663, 2594, 2924, 1006, 3912, 1007, 24559, 1057, 1012, 1055, 1012, 17365, 1031, 6640, 1048, 1012, 3968, 1012, 12963, 2549, 1010, 5354, 1055, 1012, 14931, 1012, 6255, 2581, 1033, 1010, 1998, 2632, 23147, 2912, 13117, 2522, 1012, 1058, 1012, 9917, 2554, 1006, 3339, 1007, 29403, 1057, 1012, 1055, 1012, 11212, 1010, 24368, 1011, 24398, 1031, 4008, 1048, 1012, 3968, 1012, 14134, 15471, 1010, 16710, 1011, 16666, 1010, 5345, 1055, 1012, 14931, 1012, 29186, 1033, 1012, 2156, 3227, 1010, 11026, 1010, 9559, 1998, 26097, 7846, 1024, 4905, 9883, 2013, 5029, 1006, 3326, 1007, 6584, 5292, 2099, 2615, 1012, 1048, 1012, 7065, 1012, 18914, 2581, 1025, 11569, 9589, 1010, 3423, 17261, 2015, 1024, 1996, 1000, 18340, 1000, 5387, 1999, 9517, 7408, 2982, 1006, 3838, 1007, 6353, 5292, 2099, 2615, 1012, 1048, 1012, 7065, 1012, 3515, 2620, 1012, 1007, 1996, 8998, 2001, 1037, 22127, 2028, 1010, 23408, 23461, 2011, 11813, 3572, 1999, 10067, 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, 1053, 1024, 13679, 15985, 10813, 2000, 1996, 10439, 3194, 3714, 2044, 1037, 4543, 3094, 1045, 2572, 4730, 1037, 25718, 17928, 2478, 13679, 15985, 1021, 1012, 2026, 16475, 2832, 2003, 2066, 2008, 1024, 2334, 1006, 14473, 1030, 7484, 8758, 1024, 1057, 8569, 3372, 2226, 1007, 1027, 1028, 21025, 2705, 12083, 1027, 1028, 8224, 6112, 3857, 1006, 10813, 13330, 2011, 1037, 3040, 10797, 1007, 1027, 1028, 8224, 10439, 3194, 1026, 1028, 8224, 6112, 29296, 2005, 2085, 1045, 2018, 2053, 3291, 21296, 2075, 2026, 10439, 2023, 2126, 2021, 7483, 1045, 2699, 2000, 5587, 1037, 4543, 7427, 1006, 6131, 10085, 25185, 1013, 13679, 15985, 1011, 17928, 3527, 2278, 1011, 13103, 1007, 1012, 2044, 2070, 2334, 5852, 2073, 2673, 2499, 2074, 2986, 1045, 5462, 2026, 3040, 3589, 1998, 2026, 1043, 2278, 3857, 9495, 2699, 2000, 21296, 1996, 10439, 2006, 2026, 10439, 3194, 6013, 1012, 1996, 2832, 12527, 2007, 1037, 7561, 1045, 2031, 2196, 2464, 2061, 2521, 1012, 1045, 2059, 16407, 2026, 6745, 10797, 1010, 2183, 2067, 2000, 1996, 2110, 2073, 1045, 2196, 2743, 1996, 4543, 3094, 1998, 5462, 2026, 3040, 3589, 2153, 1024, 1996, 10813, 4594, 2004, 5156, 1012, 2061, 2004, 2045, 2001, 2242, 6230, 2007, 1996, 4543, 3094, 1010, 1045, 10847, 2582, 1012, 2182, 2003, 1996, 8833, 1045, 2131, 1999, 2026, 1043, 2278, 3857, 3478, 10813, 1024, 18584, 6499, 3126, 3401, 18584, 2075, 5527, 4874, 1024, 28177, 1024, 1013, 1013, 3963, 15136, 2683, 10790, 17914, 16147, 2692, 1012, 6112, 8569, 4014, 2094, 1011, 3120, 1012, 8224, 20330, 8663, 6528, 2102, 1012, 4012, 1013, 4293, 23632, 18939, 2683, 2581, 16068, 2683, 20958, 2509, 3540, 2683, 8586, 2692, 2683, 2683, 2575, 15878, 2581, 12740, 2050, 12740, 2549, 6679, 2546, 2509, 2278, 2549, 2497, 2683, 1011, 14925, 2509, 2546, 28154, 2063, 2629, 1011, 1022, 15878, 2629, 1011, 4805, 2546, 2683, 1011, 5818, 7875, 1011, 6273, 18139, 4783, 2575, 14141, 2575, 2546, 2620, 1012, 16985, 1012, 1043, 2480, 1001, 17696, 2683, 2581, 12521, 23352, 2581, 2581, 2620, 2683, 24434, 2629, 24731, 28177, 1024, 1013, 1013, 3963, 15136, 2683, 10790, 17914, 16147, 2692, 1012, 6112, 8569, 4014, 2094, 1011, 3120, 1012, 8224, 20330, 8663, 6528, 2102, 1012, 4012, 1013, 4293, 23632, 18939, 2683, 2581, 16068, 2683, 20958, 2509, 3540, 2683, 8586, 2692, 2683, 2683, 2575, 15878, 2581, 12740, 2050, 12740, 2549, 6679, 2546, 2509, 2278, 2549, 2497, 2683, 1011, 14925, 2509, 2546, 28154, 2063, 2629, 1011, 1022, 15878, 2629, 1011, 4805, 2546, 2683, 1011, 5818, 7875, 1011, 6273, 18139, 4783, 2575, 14141, 2575, 2546, 2620, 1012, 16985, 1012, 1043, 2480, 1001, 17696, 2683, 2581, 12521, 23352, 2581, 2581, 2620, 2683, 24434, 2629, 1012, 1012, 1012, 1013, 1031, 1014, 6764, 1033, 1031, 1014, 1012, 1014, 1038, 1013, 1023, 1012, 1018, 2771, 2497, 1033, 1013, 1031, 1015, 6764, 1033, 1031, 1023, 1012, 1018, 2771, 2497, 1013, 1023, 1012, 1018, 2771, 2497, 1033, 3169, 2949, 2058, 1015, 5200, 1013, 1023, 1012, 1018, 2771, 2497, 1012, 3857, 2525, 2031, 3746, 1006, 2007, 17886, 1007, 1024, 1043, 26775, 1012, 22834, 1013, 6112, 1011, 16472, 1013, 1043, 20464, 19224, 2578, 2000, 21296, 1024, 4078, 23235, 2953, 1024, 1031, 1013, 2573, 15327, 1013, 10439, 1012, 8038, 19968, 1033, 3120, 1024, 1031, 1013, 2573, 15327, 1033, 4539, 2622, 1024, 1031, 1001, 1001, 1001, 1001, 1001, 1033, 4539, 2326, 1024, 1031, 1001, 1001, 1001, 1001, 1001, 1033, 4539, 2544, 1024, 1031, 12609, 2692, 22203, 2581, 2102, 10790, 25746, 12376, 1033, 4539, 24471, 2140, 1024, 1031, 16770, 1024, 1013, 1013, 1001, 1001, 1001, 1001, 1001, 1012, 1041, 2860, 1012, 1054, 1012, 18726, 11008, 1012, 4012, 1033, 2079, 2017, 2215, 2000, 3613, 1006, 1061, 1013, 1050, 1007, 1029, 2927, 10813, 1997, 2326, 1031, 2002, 11431, 3372, 1011, 3231, 1033, 1012, 1012, 1012, 1001, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1001, 1001, 1027, 2039, 18570, 1016, 6764, 2000, 8224, 6112, 5527, 1027, 1001, 1001, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1001, 5371, 2039, 11066, 2589, 1012, 2039, 16616, 2326, 1031, 2002, 11431, 3372, 1011, 3231, 1033, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 3478, 1012, 7561, 1024, 1006, 1043, 20464, 19224, 1012, 10439, 1012, 21296, 1007, 7561, 3433, 1024, 1031, 1023, 1033, 6112, 3857, 1014, 14141, 19961, 2620, 18939, 1011, 3729, 15136, 1011, 4805, 2509, 2050, 1011, 1038, 2692, 3207, 1011, 6021, 21472, 2575, 2620, 2094, 2683, 17914, 2475, 2050, 3570, 1024, 4945, 1012, 3857, 7561, 4751, 1024, 1063, 1000, 7561, 1000, 1024, 1063, 1000, 7561, 13874, 1000, 1024, 1000, 12508, 29165, 1000, 1010, 1000, 18562, 16044, 1000, 1024, 1000, 19528, 1035, 6685, 1000, 1010, 1000, 7561, 3593, 1000, 1024, 1000, 4464, 27531, 2581, 2546, 2475, 2546, 1000, 1010, 1000, 7561, 7834, 3736, 3351, 1000, 1024, 1000, 18558, 3027, 2140, 2544, 25718, 1011, 1058, 2692, 1012, 2459, 1012, 1014, 1032, 9152, 2078, 14876, 2927, 3027, 2140, 3857, 2005, 25718, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 6086, 1035, 8831, 3904, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 17053, 1035, 22409, 7327, 1012, 1043, 26775, 1012, 22834, 1013, 2980, 11008, 1011, 6191, 2094, 16703, 1013, 10439, 1011, 3194, 1011, 1056, 8737, 1013, 3857, 1011, 17053, 1013, 23746, 2140, 1011, 1021, 2094, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 16985, 1035, 2918, 1035, 3746, 1035, 4130, 3904, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 9167, 1035, 17053, 1035, 26319, 6270, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 12508, 1035, 6434, 1035, 4130, 1032, 1000, 1032, 1000, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 2171, 7327, 1012, 1043, 26775, 1012, 22834, 1013, 2980, 11008, 1011, 6191, 2094, 16703, 1013, 10439, 1011, 3194, 1011, 1056, 8737, 1013, 10439, 1013, 23746, 2140, 1011, 1016, 2232, 1024, 1037, 14142, 19797, 19961, 2475, 1011, 1041, 27009, 2050, 1011, 4805, 2546, 2549, 1011, 1037, 2692, 23632, 1011, 1023, 2497, 2683, 23352, 17788, 2620, 21057, 2683, 2050, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 23746, 2140, 16923, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 3795, 1035, 17053, 6270, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 17053, 2995, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 2039, 11066, 2995, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 14021, 1035, 1039, 1035, 17576, 6270, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 8246, 1035, 2006, 1035, 7561, 2995, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 2918, 7327, 1012, 1043, 26775, 1012, 22834, 1013, 11721, 2063, 1011, 2448, 7292, 2015, 1013, 25718, 2581, 2475, 1024, 25718, 2581, 2475, 1035, 12609, 2692, 23632, 2475, 1035, 1021, 1035, 1016, 1035, 2756, 1035, 22110, 8889, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 6434, 1035, 4130, 3904, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 17053, 1035, 3145, 1035, 2544, 1058, 2692, 1012, 2459, 1012, 1014, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 17053, 1035, 5474, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 14176, 1013, 2573, 15327, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 4443, 8400, 3904, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 3176, 1035, 14176, 1013, 1012, 8224, 8663, 8873, 2290, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 7688, 1035, 4130, 1013, 5034, 2615, 1032, 9152, 2078, 14876, 3027, 2140, 12098, 2290, 2979, 1024, 12034, 25949, 2025, 13462, 1032, 9152, 2078, 14876, 3225, 1024, 2440, 3857, 1032, 9152, 2078, 14876, 3225, 1024, 12508, 3988, 3989, 1032, 9152, 2078, 14876, 10578, 8946, 2121, 22496, 2005, 22409, 1005, 7327, 1012, 1043, 26775, 1012, 22834, 1013, 11721, 2063, 1011, 2448, 7292, 2015, 1013, 25718, 2581, 2475, 1024, 25718, 2581, 2475, 1035, 12609, 2692, 23632, 2475, 1035, 1021, 1035, 1016, 1035, 2756, 1035, 22110, 8889, 1005, 1032, 9152, 2078, 14876, 10578, 8946, 2121, 22496, 2005, 22409, 1005, 7327, 1012, 1043, 26775, 1012, 22834, 1013, 2980, 11008, 1011, 6191, 2094, 16703, 1013, 10439, 1011, 3194, 1011, 1056, 8737, 1013, 10439, 1013, 23746, 2140, 1011, 1016, 2232, 1024, 1037, 14142, 19797, 19961, 2475, 1011, 1041, 27009, 2050, 1011, 4805, 2546, 2549, 1011, 1037, 2692, 23632, 1011, 1023, 2497, 2683, 23352, 17788, 2620, 21057, 2683, 2050, 1005, 1032, 9152, 2078, 14876, 12508, 3988, 3989, 2165, 1014, 3823, 1032, 9152, 2078, 14876, 3225, 1024, 3857, 2832, 2005, 3027, 2140, 3746, 1032, 9152, 2078, 14876, 3225, 1024, 28549, 1035, 21431, 1035, 16101, 1032, 9152, 2078, 14876, 28549, 1035, 21431, 1035, 16101, 28549, 1011, 21792, 1013, 2573, 15327, 1013, 21431, 1032, 9152, 2078, 14876, 1036, 28549, 1035, 21431, 1035, 16101, 1036, 2358, 26797, 2102, 1024, 1032, 1050, 1032, 9152, 2078, 14876, 28549, 1035, 21431, 1035, 16101, 2165, 1014, 3823, 1032, 9152, 2078, 14876, 4078, 23235, 2953, 1035, 8417, 1024, 1032, 1050, 1063, 1032, 1050, 1032, 1000, 1035, 3191, 4168, 1032, 1000, 1024, 1031, 1032, 1050, 1032, 1000, 2023, 5371, 11223, 1996, 12530, 15266, 1997, 2115, 2622, 2000, 1037, 2124, 2110, 1032, 1000, 1010, 1032, 1050, 1032, 1000, 3191, 2062, 2055, 2009, 2012, 16770, 1024, 1013, 1013, 2131, 9006, 20688, 2099, 1012, 8917, 1013, 9986, 1013, 5890, 1011, 3937, 1011, 8192, 1012, 9108, 1001, 23658, 1011, 12530, 15266, 1032, 1000, 1010, 1032, 1050, 1032, 1000, 2023, 5371, 2003, 1030, 7013, 8073, 1032, 1000, 1032, 1050, 1033, 1010, 1032, 1050, 1032, 1000, 4180, 1011, 23325, 1032, 1000, 1024, 1032, 1000, 1042, 17914, 22907, 2278, 2581, 2094, 2509, 2063, 2629, 2094, 21619, 2278, 2620, 2549, 2063, 12521, 16068, 21084, 2629, 10322, 2683, 2575, 12879, 2050, 1032, 1000, 1010, 1032, 1050, 1032, 1000, 14555, 1032, 1000, 1024, 1031, 1032, 1050, 1063, 1032, 1050, 1032, 1000, 2171, 1032, 1000, 1024, 1032, 1000, 2004, 2213, 2620, 2683, 1013, 9991, 1011, 2522, 2869, 1032, 1000, 1010, 1032, 1050, 1032, 1000, 2544, 1032, 1000, 1024, 1032, 1000, 1015, 1012, 1017, 1012, 1014, 1032, 1000, 1010, 1032, 1050, 1032, 1000, 3120, 1032, 1000, 1024, 1063, 1032, 1050, 1032, 1000, 2828, 1032, 1000, 1024, 1032, 1000, 21025, 2102, 1032, 1000, 1010, 1032, 1050, 1032, 1000, 24471, 2140, 1032, 1000, 1024, 1032, 1000, 16770, 1024, 1013, 1013, 21025, 2705, 12083, 1012, 4012, 1013, 2004, 2213, 2620, 2683, 1013, 9991, 1011, 2522, 2869, 1012, 21025, 2102, 1032, 1000, 1010, 1032, 1050, 1032, 1000, 4431, 1032, 1000, 1024, 1032, 1000, 1038, 2683, 2278, 21486, 3207, 2546, 2575, 2050, 2620, 2509, 2546, 2620, 2549, 2497, 2549, 2094, 2549, 2050, 12740, 2094, 19481, 2683, 2683, 2575, 2094, 24434, 28311, 24087, 2546, 2692, 2063, 2692, 2620, 1032, 1000, 1032, 1050, 1065, 1010, 1032, 1050, 1032, 1000, 4487, 3367, 1032, 1000, 1024, 1063, 1032, 1050, 1032, 1000, 2828, 1032, 1000, 1024, 1032, 1000, 14101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 3166, 1024, 1011, 1005, 4205, 18353, 9695, 1031, 1031, 1002, 1034, 1063, 1015, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 1059, 1012, 1049, 1012, 2175, 4757, 1031, 1031, 1002, 1034, 1063, 1016, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 25022, 4360, 3597, 2643, 4305, 1031, 1031, 1002, 1034, 1063, 1017, 1065, 1002, 1033, 1063, 1065, 1002, 1034, 1063, 1010, 1065, 1002, 1031, 1002, 1034, 1063, 1018, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 10704, 14891, 2615, 1031, 1037, 1033, 1063, 1065, 1050, 1011, 6921, 1031, 1031, 1002, 1034, 1063, 1019, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 2508, 1041, 1012, 8512, 1031, 1002, 1034, 1063, 1020, 1065, 1002, 1033, 1063, 1065, 1010, 2198, 3608, 2100, 1031, 1031, 1002, 1034, 1063, 1021, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 14418, 1040, 1012, 23801, 14478, 1031, 1031, 1002, 1034, 1063, 1022, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 10786, 2402, 26682, 1031, 1031, 1002, 1034, 1063, 1023, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 16806, 7569, 14778, 1031, 1031, 1002, 1034, 1063, 2260, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 14596, 3044, 1031, 1031, 1002, 1034, 1063, 2340, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 7441, 9548, 1031, 1002, 1034, 1063, 1021, 1065, 1002, 1033, 1063, 1065, 1010, 1046, 1012, 1049, 1012, 2351, 27350, 1047, 6820, 28418, 14416, 1031, 1031, 1002, 1034, 1063, 2410, 1065, 1002, 1033, 1063, 1065, 1002, 1034, 1063, 1010, 1065, 1002, 1031, 1002, 1034, 1063, 2403, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1010, 5292, 26230, 2226, 25945, 3676, 2497, 8607, 1031, 1031, 1002, 1034, 1063, 1015, 1065, 1002, 1033, 1063, 1065, 1033, 1063, 1065, 1005, 3058, 1024, 1005, 3058, 1024, 2051, 1024, 1005, 2516, 1024, 1005, 2646, 3806, 15575, 1999, 1996, 1059, 22203, 2152, 1011, 3742, 15053, 20464, 19966, 2545, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1031, 1034, 1015, 1033, 1996, 3284, 1011, 3742, 12906, 5716, 1999, 2256, 9088, 2031, 11678, 1002, 1049, 1032, 14181, 2869, 5714, 1032, 3793, 10867, 1063, 2261, 1065, 1032, 25212, 1063, 1018, 1065, 1002, 1031, 1002, 1049, 1035, 1063, 1032, 1051, 27364, 1065, 1002, 1033, 1063, 1065, 1031, 1030, 25927, 17252, 1011, 1062, 18367, 11387, 10790, 2050, 1033, 1012, 2122, 4678, 4655, 2928, 1996, 2152, 2203, 1997, 1996, 15053, 20464, 19966, 2121, 3742, 3853, 1012, 3522, 12265, 2031, 3024, 1037, 3143, 2883, 1997, 2035, 15053, 20464, 19966, 2545, 1999, 2023, 2152, 3742, 2846, 1031, 1030, 18353, 9695, 11387, 12521, 2050, 1025, 1030, 24471, 28940, 10686, 11387, 17134, 2497, 1025, 1030, 24471, 28940, 10686, 11387, 16932, 2497, 1033, 1012, 2004, 1996, 2087, 5294, 1998, 9742, 2732, 1011, 5716, 4655, 1999, 1996, 9088, 1010, 2122, 5269, 3073, 2019, 2590, 2334, 21800, 2000, 1996, 2220, 5304, 1010, 2073, 3340, 2062, 4141, 2719, 1999, 12906, 1998, 3227, 2719, 1999, 9742, 2099, 3806, 1031, 1030, 1047, 6820, 28418, 14416, 11387, 12521, 2050, 1025, 1030, 5506, 4887, 11387, 16932, 2050, 1033, 1012, 1999, 2107, 10058, 1010, 12247, 2013, 5294, 3340, 2003, 2019, 2590, 5387, 1012, 2087, 2732, 4195, 2306, 2152, 1011, 3742, 12906, 2003, 3497, 2000, 5258, 2044, 2012, 2560, 2028, 2152, 1011, 3742, 2732, 2038, 22395, 1012, 2116, 2330, 3980, 3961, 2055, 1996, 3896, 1997, 2023, 12247, 1010, 2004, 1996, 3558, 11619, 1997, 2107, 4655, 17552, 2015, 2068, 3697, 2000, 26633, 1012, 1037, 10232, 3160, 2003, 3251, 1996, 12906, 3143, 1996, 2732, 4195, 2832, 2011, 15077, 2087, 1997, 2037, 3806, 1006, 15575, 1007, 2030, 2011, 9268, 2009, 3081, 12247, 1031, 18272, 1025, 1030, 1047, 6820, 28418, 14416, 11387, 12521, 2497, 1025, 1030, 2146, 5974, 11387, 16932, 2050, 1025, 1030, 13523, 2480, 3678, 11387, 16068, 2050, 1033, 1012, 1996, 5703, 2090, 1996, 2048, 6194, 2003, 3517, 2000, 12530, 2006, 1996, 3806, 3872, 4304, 2138, 3020, 1011, 4304, 3806, 18856, 24237, 2015, 2024, 5214, 1997, 20607, 2083, 1037, 3469, 2193, 1997, 2489, 1011, 2991, 2335, 2077, 1996, 3806, 4425, 2003, 3844, 2125, 2011, 12247, 1010, 1998, 2947, 3020, 1011, 4304, 18856, 24237, 2015, 18759, 3469, 2732, 4195, 1041, 26989, 23402, 14767, 1031, 1030, 1047, 6820, 28418, 14416, 11387, 12521, 2050, 1033, 1012, 2023, 7835, 3568, 21208, 2015, 3251, 1996, 5716, 3340, 2097, 2022, 27885, 8043, 12423, 2004, 1037, 5391, 9324, 2030, 2019, 9186, 27885, 2523, 1012, 2043, 6377, 2058, 1996, 4304, 9723, 4353, 3853, 1997, 1996, 6970, 29028, 5396, 1999, 1037, 9088, 1010, 2023, 6685, 16014, 2015, 2008, 1996, 12884, 1997, 2732, 4195, 10066, 1999, 5391, 12906, 7457, 2007, 1996, 3806, 3778, 1998, 3302, 4304, 1010, 2004, 2003, 5262, 5159, 1031, 1030, 22547, 11387, 10790, 2050, 1025, 1030, 1047, 6820, 28418, 14416, 11387, 12521, 2050, 1025, 1030, 4205, 2080, 11387, 16068, 2050, 1033, 1012, 1059, 22203, 3397, 2048, 1997, 1996, 2190, 5347, 2005, 15053, 20464, 19966, 2545, 2008, 2097, 3325, 3806, 15575, 1012, 2023, 2555, 2003, 2525, 5186, 25567, 2119, 8945, 21297, 3388, 14735, 9215, 1998, 1999, 1996, 2557, 22961, 1012, 1997, 2035, 1996, 2732, 5716, 4655, 2443, 1999, 1996, 2417, 5796, 2595, 5002, 1010, 2029, 2003, 3143, 2000, 4216, 2007, 14611, 11320, 10020, 25949, 1002, 1048, 1028, 2184, 1034, 1018, 1002, 1031, 1002, 1048, 1035, 1063, 1032, 1051, 27364, 1065, 1002, 1033, 1063, 1065, 1010, 1059, 22203, 2003, 1996, 2087, 25567, 1031, 1030, 24471, 28940, 10686, 11387, 16932, 2050, 1033, 1998, 2426, 1996, 7541, 2012, 1037, 11498, 4571, 2595, 1011, 7594, 3292, 1997, 1019, 1012, 4601, 1047, 15042, 1031, 1030, 20251, 11387, 10790, 2050, 1025, 1030, 15990, 28332, 2683, 2050, 1033, 1012, 1996, 2561, 11320, 10020, 25949, 1997, 1996, 1059, 22203, 15053, 20464, 19966, 2121, 3375, 2038, 2042, 4358, 2478, 11209, 2015, 1998, 10556, 2080, 1010, 1002, 1048, 1035, 1063, 8945, 2140, 1065, 1032, 21934, 2683, 1012, 1017, 1032, 25212, 1063, 1020, 1065, 1006, 1040, 1013, 1019, 1012, 1018, 1032, 8785, 10867, 1063, 1047, 15042, 1065, 1007, 1034, 1016, 1002, 1031, 1002, 1048, 1035, 1063, 1032, 1051, 27364, 1065, 1002, 1033, 1063, 1065, 1031, 1030, 7702, 16147, 20842, 2050, 1025, 1030, 9033, 22507, 2015, 16147, 2683, 2487, 2050, 1033, 1012, 1996, 3940, 1997, 12906, 1999, 1059, 22203, 4346, 2023, 11320, 10020, 25949, 1010, 1059, 22203, 2364, 1998, 1059, 22203, 25760, 2475, 1010, 2169, 5383, 1002, 1032, 21934, 2629, 1032, 25212, 1063, 1018, 1065, 1002, 1031, 1002, 1049, 1035, 1063, 1032, 1051, 27364, 1065, 1002, 1033, 1063, 1065, 1997, 8382, 3806, 1031, 1030, 18353, 9695, 11387, 12521, 2050, 1033, 1012, 2004, 2028, 1997, 1996, 2087, 25567, 2732, 1011, 5716, 4655, 1999, 2256, 9088, 1010, 1059, 22203, 2038, 2042, 2092, 1011, 3273, 1999, 1996, 2557, 1998, 4971, 19198, 1012, 3025, 9751, 2031, 3491, 2008, 1996, 15053, 20464, 19966, 2545, 2306, 1059, 22203, 5383, 2116, 5716, 5294, 3340, 1012, 2274, 2152, 1011, 3742, 15053, 14117, 2015, 2031, 2042, 4453, 1024, 1059, 22203, 2167, 1010, 1059, 22203, 2063, 2620, 1010, 1059, 22203, 2063, 2475, 2860, 1010, 1059, 22203, 2063, 2475, 2063, 1010, 1059, 22203, 2063, 2475, 2078, 2860, 1010, 1998, 1059, 22203, 2094, 2475, 1031, 1030, 9327, 16147, 2683, 2581, 2050, 1025, 1030, 17710, 3406, 28332, 2620, 2497, 1025, 1030, 23564, 4502, 2696, 28332, 2620, 2050, 1025, 1030, 23564, 4502, 2696, 28332, 2683, 2050, 1025, 1030, 23564, 4502, 2696, 11387, 10790, 2050, 1025, 1030, 11895, 11387, 10790, 2497, 1025, 1030, 11895, 11387, 10790, 2050, 1025, 1030, 7505, 22987, 11387, 12521, 2050, 1025, 1030, 2643, 4305, 11387, 16068, 2050, 1025, 1030, 2643, 4305, 11387, 16048, 2050, 1033, 1012, 2178, 9210, 2031, 2525, 2584, 1996, 2364, 5537, 1998, 2024, 5710, 1999, 1996, 2379, 14611, 1031, 1030, 2751, 9648, 2099, 16147, 2683, 2549, 2050, 1025, 1030, 7929, 2819, 4648, 28332, 2692, 2050, 1025, 1030, 9600, 28332, 2549, 2050, 1025, 1030, 3347, 15853, 2050, 28332, 2620, 2050, 1025, 1030, 20965, 13094, 26010, 28332, 2620, 2050, 1033, 1012, 1059, 22203, 3397, 2116, 5664, 4655, 1012, 2122, 2024, 6219, 2004, 3668, 4655, 1006, 1002, 1032, 21934, 10790, 1002, 7473, 1007, 1010, 11087, 9006, 19498, 2102, 4655, 1006, 1521, 1055, 1025, 1002, 1054, 1032, 21934, 2692, 1012, 1015, 1002, 7473, 1007, 1010, 2030, 23760, 9006, 19498, 2102, 4655, 1031, 1521, 1055, 1025, 1002, 1054, 1026, 1014, 1012, 5709, 1002, 7473, 1030, 9679, 2480, 28332, 2475, 2050, 1033, 1012, 2055, 2702, 4655, 1010, 2029, 2024, 1996, 6587, 2555, 2465, 1998, 3497, 5383, 16222, 13465, 2075, 15053, 1011, 27885, 3340, 1031, 1030, 12420, 11387, 10790, 2278, 1033, 1010, 2031, 2042, 2179, 1999, 1059, 22203, 1031, 1030, 2033, 26378, 11392, 16147, 2683, 2549, 2050, 1033, 1012, 2174, 1010, 1996, 2883, 1997, 2119, 5294, 3340, 1998, 15053, 14117, 2015, 1999, 1059, 22203, 2003, 12958, 1012, 2057, 2556, 9420, 1997, 1996, 5110, 2261, 11968, 3366, 6169, 1997, 1996, 1059, 22203, 15053, 20464, 19966, 2121, 5716, 2555, 1012, 2057, 6523, 2000, 1996, 2878, 2555, 1010, 2164, 1059, 22203, 2364, 1006, 2029, 3397, 1996, 1059, 22203, 2063, 4216, 1007, 1998, 1059, 22203, 25760, 2475, 2004, 1520, 1059, 22203, 2050, 1521, 1012, 2045, 2003, 1037, 5806, 8857, 2006, 1059, 22203, 2364, 2008, 2038, 1037, 3391, 4408, 4514, 3341, 2008, 2003, 2124, 2004, 1059, 22203, 25760, 2487, 1012, 2060, 3415, 2024, 4541, 2043, 2027, 2024, 2109, 1012, 2019, 19184, 1997, 1996, 23718, 2109, 1010, 2164, 10873, 1010, 2003, 1999, 4481, 1032, 1031, 20965, 1024, 3104, 8584, 1032, 1035, 2685, 11890, 2015, 1032, 1033, 1998, 1032, 1031, 20965, 1024, 3104, 8584, 1032, 1035, 28105, 1032, 1033, 1012, 1999, 2930, 1032, 1031, 10819, 1024, 9420, 1032, 1033, 1010, 2057, 6235, 1996, 9420, 1998, 2951, 7312, 1012, 2930, 1032, 1031, 10819, 1024, 3463, 1032, 1033, 7534, 1996, 8089, 2389, 3463, 1010, 7680, 7849, 6026, 3145, 2838, 4453, 1999, 1996, 4871, 1998, 7851, 1996, 2391, 1011, 3120, 6302, 24327, 1006, 1073, 1032, 1031, 10819, 1024, 2685, 8162, 9623, 1032, 1033, 1007, 1012, 2930, 1032, 1031, 10819, 1024, 4106, 1032, 1033, 3640, 4106, 1998, 7613, 1997, 1996, 8089, 2389, 3463, 1012, 2930, 1032, 1031, 10819, 1024, 6594, 1032, 1033, 15841, 1996, 13494, 1997, 1996, 9420, 1012, 2930, 1032, 1031, 10819, 1024, 7091, 1032, 1033, 2163, 1996, 15306, 1012, 2633, 1010, 2057, 2421, 1996, 2206, 10439, 10497, 23522, 1024, 22524, 1032, 1031, 10819, 1024, 22524, 1032, 1035, 10873, 1032, 1033, 3640, 4481, 28847, 2315, 5200, 1010, 1032, 1031, 10819, 1024, 7367, 5104, 1032, 1033, 3640, 3013, 5833, 4871, 1998, 7367, 2094, 14811, 2005, 2035, 2391, 4216, 1010, 1032, 1031, 10819, 1024, 27885, 6491, 12928, 1032, 1033, 2950, 7251, 1997, 8089, 2389, 27425, 1010, 1998, 1032, 1031, 10819, 1024, 1058, 3790, 1032, 1033, 3065, 1996, 10146, 2492, 1997, 1996, 8382, 3806, 1012, 9420, 1063, 1001, 10819, 1024, 9420, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2057, 2109, 1996, 6382, 1043, 1012, 5553, 5874, 2200, 2312, 9140, 1006, 1046, 2615, 2721, 1007, 1999, 3674, 4996, 1998, 22354, 1012, 1996, 9420, 1998, 4525, 4871, 2024, 22539, 1999, 2795, 1032, 1031, 21628, 1024, 9420, 1032, 1033, 1012, 1996, 3143, 8089, 2389, 27425, 1010, 2164, 2335, 1997, 8089, 1998, 2565, 8909, 2015, 1010, 2024, 1999, 2795, 1032, 1031, 21628, 1024, 27885, 2015, 1032, 1035, 18804, 1032, 1033, 1012, 1999, 2622, 2260, 2497, 1011, 19342, 1010, 2057, 5159, 1999, 1037, 1011, 9140, 1999, 1055, 1998, 1039, 4996, 1006, 1017, 1998, 1019, 29066, 1010, 3155, 1007, 2007, 1016, 29066, 2561, 20235, 1012, 1999, 2622, 2410, 2050, 1011, 5757, 2549, 1010, 2057, 5159, 1999, 1039, 1011, 2316, 1999, 1039, 1006, 1015, 2232, 1007, 1998, 1037, 1006, 1019, 2232, 1007, 27448, 1998, 1999, 13970, 1011, 2316, 1999, 1040, 1006, 1015, 2232, 1007, 1998, 1038, 1006, 1019, 2232, 1007, 27448, 1012, 2057, 2036, 2421, 22961, 2951, 2013, 2622, 2260, 2050, 1011, 25586, 1031, 1030, 2643, 4305, 11387, 16068, 2050, 1025, 1030, 2643, 4305, 11387, 16048, 2050, 1033, 5266, 1996, 2846, 2423, 1011, 4029, 29066, 2478, 1996, 1046, 2615, 2721, 1038, 9140, 9563, 1012, 2256, 17435, 6325, 2443, 1031, 1002, 1032, 3793, 10867, 1063, 1051, 1011, 1044, 1065, 1035, 1016, 1032, 3793, 10867, 1063, 2522, 1065, 1002, 1033, 1063, 1065, 1031, 1002, 1015, 1035, 1063, 1015, 1010, 1014, 1065, 1011, 1015, 1035, 1063, 1015, 1010, 1015, 1065, 1002, 1033, 1063, 1065, 2012, 1018, 1012, 6445, 2683, 28756, 29066, 1998, 1031, 1002, 1016, 1035, 1063, 1015, 1010, 1015, 1065, 1011, 1016, 1035, 1063, 1015, 1010, 1016, 1065, 1002, 1033, 1063, 1065, 2012, 2403, 1012, 4466, 2620, 29066, 2007, 1014, 1012, 1017, 1031, 1002, 1034, 1063, 1011, 1015, 1065, 1002, 1033, 1063, 1065, 5813, 1998, 1996, 2557, 28667, 5358, 21114, 3508, 3210, 1006, 25269, 4877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6273, 2683, 1055, 1012, 1059, 1012, 14134, 6079, 2509, 1006, 3106, 1007, 2745, 6766, 1010, 10439, 24178, 1010, 1058, 1012, 5663, 1997, 5612, 1010, 10439, 14774, 2063, 1012, 2457, 1997, 9023, 1997, 5612, 1012, 2258, 2260, 1010, 3106, 1012, 19258, 5649, 3319, 6380, 1998, 5448, 3641, 2405, 2011, 4259, 2457, 2238, 1018, 1010, 3106, 1012, 1008, 6079, 2549, 5696, 1052, 1012, 5485, 1010, 23240, 2270, 8175, 1010, 11577, 1010, 2005, 10439, 24178, 1012, 2585, 1048, 1012, 9143, 1010, 2012, 3723, 1012, 8991, 1012, 1010, 6294, 12670, 2015, 1010, 4632, 2102, 1012, 2012, 3723, 1012, 8991, 1012, 1010, 3581, 13028, 1010, 2005, 10439, 14774, 2063, 1012, 2077, 22863, 2015, 1010, 9383, 1998, 19863, 6806, 4183, 1010, 29017, 1012, 9383, 1010, 3648, 1024, 2023, 2003, 2019, 5574, 2013, 1996, 2344, 1997, 1996, 6890, 4984, 2457, 7065, 23212, 3070, 1996, 10439, 24178, 1005, 1055, 19703, 1998, 23280, 2032, 2000, 3710, 2809, 2086, 1999, 1996, 2110, 5290, 14049, 1012, 1999, 2233, 1010, 3172, 1010, 2745, 6766, 1010, 1996, 10439, 24178, 1010, 2001, 21801, 1998, 5338, 2007, 1996, 4692, 4028, 1997, 1037, 2931, 7452, 1998, 1996, 11933, 1997, 2014, 9935, 1012, 6766, 2018, 1037, 2381, 1997, 2902, 3989, 2005, 5177, 7355, 1010, 4692, 5920, 1998, 6544, 1011, 3141, 3471, 1012, 2002, 2001, 2179, 17824, 2000, 3233, 3979, 1998, 2006, 2244, 2538, 1010, 3172, 1010, 3133, 1037, 14865, 1997, 5905, 2000, 2117, 1011, 3014, 6101, 1012, 1996, 11933, 3715, 2001, 7219, 1012, 2588, 1996, 5663, 1005, 1055, 12832, 1010, 1996, 3979, 2457, 7331, 1996, 10439, 24178, 2000, 2809, 2086, 1010, 4013, 20179, 2094, 2005, 2093, 2086, 2006, 1996, 2206, 3785, 1024, 1015, 1007, 2008, 2002, 2025, 10797, 2178, 10048, 1025, 1016, 1007, 2008, 2002, 4468, 1000, 4487, 21338, 13699, 23056, 1000, 5381, 1998, 3182, 1025, 1017, 1007, 2008, 2002, 17912, 10797, 2370, 2000, 2789, 2110, 2902, 1000, 2005, 1037, 2744, 1997, 3949, 2000, 2022, 2061, 2146, 2004, 1996, 2902, 4614, 7164, 2008, 2002, 3791, 2000, 2994, 1998, 4374, 3949, 1025, 1000, 1998, 1018, 1007, 2008, 2588, 2010, 2713, 2013, 1996, 2902, 2002, 3189, 2000, 1996, 2407, 1997, 19703, 1998, 17393, 1999, 15559, 1010, 5612, 1012, 2009, 2003, 3154, 2013, 1996, 2501, 2008, 1996, 2457, 1010, 1996, 4243, 1998, 2037, 16214, 11436, 2008, 6766, 2052, 2022, 24735, 2005, 2195, 2706, 1012, 1999, 23758, 6651, 2007, 1996, 6251, 1998, 2344, 1997, 19703, 1010, 6766, 3591, 2370, 2000, 2789, 2110, 2902, 1012, 2002, 2001, 16330, 2588, 5508, 2011, 2852, 1012, 23440, 1010, 1996, 17927, 18146, 1010, 2040, 4340, 2008, 2902, 3989, 2001, 2025, 6413, 2005, 6766, 2012, 2008, 2051, 1998, 6749, 2008, 6766, 3613, 2007, 27144, 1998, 2041, 24343, 13691, 3949, 2012, 2010, 2334, 7721, 2729, 2415, 1012, 6766, 2947, 2985, 1037, 2561, 1997, 2048, 2030, 2093, 2847, 2012, 1996, 2902, 1012, 2002, 3202, 6727, 2010, 4905, 2008, 2002, 2018, 2042, 6380, 6449, 26897, 2000, 2789, 2110, 1998, 2001, 9449, 2011, 1996, 4905, 2000, 3524, 2127, 2673, 2001, 1000, 11168, 2041, 1000, 2055, 1996, 2902, 3989, 2077, 7316, 2000, 2010, 19703, 2961, 1012, 6920, 1010, 2006, 2254, 1015, 1010, 3118, 1010, 1996, 5663, 2333, 1996, 3979, 2457, 2000, 5478, 1996, 10439, 24178, 2000, 1000, 2265, 12646, 2007, 1996, 3408, 1997, 1996, 2345, 6251, 1998, 8689, 1997, 19703, 1012, 1000, 2004, 5286, 2005, 1996, 4367, 1996, 10439, 14774, 2063, 3090, 2009, 2001, 2049, 6772, 2008, 6766, 2018, 2025, 26946, 2007, 1996, 4650, 2008, 2002, 6449, 2370, 2000, 2789, 2110, 2902, 1012, 1996, 3043, 2001, 2275, 2005, 1037, 4994, 2006, 2254, 2423, 1010, 3118, 1010, 2021, 1996, 10439, 24178, 2001, 2205, 5665, 2000, 5463, 2348, 2010, 4905, 2001, 2556, 1012, 1037, 24051, 1997, 1996, 8824, 9918, 2657, 2008, 2154, 4709, 1000, 4994, 2006, 1996, 5663, 1005, 1055, 4367, 2005, 7065, 23909, 1997, 13474, 1005, 1055, 19703, 1000, 2001, 2366, 2006, 10439, 24178, 1005, 1055, 4905, 2006, 2254, 2861, 1010, 3118, 1012, 1996, 2457, 2506, 1996, 3043, 2127, 2337, 1023, 1010, 3118, 1010, 1998, 2036, 3090, 2008, 1010, 1000, 1045, 2228, 2057, 2342, 1996, 19703, 1998, 17393, 2961, 2182, 2000, 2156, 3251, 2030, 2025, 2002, 2038, 2988, 2000, 2032, 1012, 1012, 1012, 1012, 1000, 2012, 1996, 4994, 2006, 2337, 1023, 1010, 1996, 19703, 2961, 6727, 1996, 2457, 2008, 6766, 2018, 2025, 2988, 2000, 2032, 2127, 1996, 2154, 2077, 1996, 4994, 1012, 1037, 15034, 2013, 5612, 2314, 2451, 2729, 1010, 1996, 2334, 5177, 2740, 2415, 1999, 15559, 1010, 14914, 2008, 1996, 10439, 24178, 2018, 2042, 7052, 4882, 3949, 6521, 1998, 2001, 1010, 1999, 2014, 5448, 1010, 2551, 2524, 2000, 3305, 1998, 9462, 2010, 3471, 1012, 1996, 3979, 2457, 2179, 2008, 6766, 2106, 2025, 1000, 10797, 1000, 2370, 2000, 1996, 2902, 2021, 6414, 3591, 2370, 2005, 1000, 9312, 1012, 1000, 1999, 2023, 7634, 1996, 3979, 2457, 5159, 2008, 1000, 2195, 2111, 1010, 1000, 2164, 6766, 1005, 1055, 3008, 1010, 1008, 6079, 2629, 2071, 2031, 6406, 1037, 9964, 6224, 1996, 10439, 24178, 1005, 1055, 26097, 8426, 2000, 1996, 2902, 1012, 2633, 1010, 1996, 2457, 2179, 2008, 6766, 14424, 1996, 4650, 2008, 2002, 3189, 2000, 1996, 19703, 2961, 1012, 1996, 2457, 22837, 6766, 1005, 1055, 19703, 1998, 3641, 2032, 2000, 2022, 2872, 2046, 9968, 2012, 1996, 9678, 6735, 6582, 20873, 3375, 2073, 2002, 2747, 3464, 1012, 2006, 5574, 1010, 6766, 2038, 2992, 2093, 3314, 2005, 2256, 3319, 2004, 4076, 1024, 1015, 1007, 2008, 1996, 5663, 3478, 2000, 3073, 1996, 2128, 24871, 5060, 1997, 1996, 4994, 1010, 1996, 4436, 2045, 29278, 1998, 1996, 6884, 19703, 13302, 1025, 1016, 1007, 2008, 2045, 2001, 2053, 3350, 2008, 2002, 3478, 2000, 14037, 2007, 1996, 3785, 1997, 19703, 1025, 1998, 1017, 1007, 2008, 1996, 2457, 3478, 2000, 4607, 2517, 9556, 2588, 2029, 2009, 13538, 1999, 7065, 23212, 3070, 2010, 19703, 1012, 2383, 8182, 1996, 2972, 2501, 2057, 2424, 2008, 2045, 2003, 2053, 3350, 2008, 1996, 10439, 24178, 14424, 2151, 1997, 1996, 3785, 1997, 1996, 19703, 9770, 2076, 1996, 2434, 23280, 1012, 2096, 2009, 2003, 3154, 2008, 2852, 1012, 23440, 1005, 1055, 16250, 2041, 24343, 3949, 2106, 2025, 3113, 2007, 2593, 1996, 3979, 2457, 1005, 1055, 2030, 1996, 5663, 1005, 1055, 10908, 1010, 2009, 2003, 8053, 3154, 2008, 6766, 2106, 2673, 2002, 4298, 2071, 2000, 14037, 2007, 1996, 9095, 2008, 2002, 6449, 2370, 2000, 1996, 5177, 2902, 1012, 2582, 1010, 2009, 2003, 4895, 8663, 13181, 26686, 2008, 2002, 3929, 26946, 2007, 2852, 1012, 23440, 1005, 1055, 12832, 2005, 2041, 24343, 3949, 1012, 2004, 2002, 2001, 2025, 4273, 2007, 1037, 2457, 2344, 1010, 2002, 2071, 2025, 5478, 2789, 2110, 2000, 6449, 2032, 2004, 1037, 5776, 1012, 1996, 5663, 1005, 1055, 6685, 2008, 6766, 2071, 2031, 2042, 1000, 5541, 1000, 1998, 2179, 2070, 2126, 2000, 2131, 2370, 5462, 2003, 7353, 2135, 18691, 1012, 2009, 2003, 8053, 9951, 2008, 6766, 1005, 1055, 3008, 2323, 2031, 2699, 2000, 2131, 2032, 1999, 6767, 26896, 7559, 6588, 5462, 1999, 2344, 2005, 2032, 2000, 2938, 2483, 7011, 16761, 6588, 14037, 2007, 1996, 2344, 1012, 10655, 1010, 1996, 2501, 2003, 22808, 1997, 2151, 3350, 2008, 1996, 10439, 24178, 3478, 2000, 3189, 2000, 1996, 19703, 2436, 2005, 2151, 3114, 3272, 2010, 2204, 4752, 17975, 2006, 2010, 4905, 1005, 1055, 6040, 2008, 2107, 2001, 2025, 3223, 2127, 1996, 2902, 3989, 3277, 2001, 10395, 1012, 2096, 2023, 2089, 2025, 2031, 2042, 1996, 2190, 6040, 1996, 10439, 24178, 2071, 2031, 5407, 1010, 1996, 2501, 4415, 7127, 2008, 1996, 10439, 24178, 2081, 2296, 9608, 3947, 2000, 14037, 2007, 1996, 3785, 9770, 2588, 2032, 1999, 2023, 7634, 1012, 2045, 2108, 2053, 3350, 2000, 2490, 1996, 2457, 1005, 1055, 4531, 1997, 1037, 12510, 1997, 1996, 3785, 1997, 19703, 1010, 1996, 2457, 1005, 1055, 3247, 2000, 7065, 11045, 10439, 24178, 1005, 1055, 3570, 2001, 6135, 15275, 1012, 1996, 5663, 1005, 1055, 6685, 2008, 2107, 1037, 3247, 2003, 11850, 19258, 5649, 2003, 2025, 12711, 2004, 1000, 1031, 1056, 1033, 2010, 19258, 5649, 7814, 1997, 1996, 7065, 23909, 3247, 2342, 2025, 2022, 2584, 4983, 2045, 2003, 2034, 2019, 6413, 9128, 2008, 1996, 3265, 2038, 1999, 2755, 25769, 1996, 3785, 1997, 17393, 1012, 1000, 6384, 7952, 1058, 1012, 18710, 1010, 2871, 2620, 1057, 1012, 1055, 1012, 4700, 2487, 1010, 4466, 2509, 1010, 6227, 1055, 1012, 14931, 1012, 25191, 2509, 1010, 13539, 2487, 1010, 3943, 1048, 1012, 3968, 1012, 14134, 4466, 2549, 1006, 3285, 1007, 1012, 1037, 5177, 2902, 2323, 2025, 2022, 2109, 2011, 1996, 2457, 2004, 1037, 7681, 2005, 1037, 3827, 1012, 5262, 1010, 1996, 3247, 2000, 2173, 1037, 13474, 2006, 19703, 2104, 2151, 3785, 1000, 11138, 1037, 9128, 2011, 1996, 23280, 2457, 2008, 1996, 2110, 1005, 1055, 7279, 10091, 5426, 2079, 2025, 5478, 10219, 1012, 1000, 10154, 2368, 1058, 1012, 4108, 1010, 4805, 2487, 1057, 1012, 1055, 1012, 20982, 1010, 9800, 1055, 1012, 14931, 1012, 18744, 2549, 1010, 6146, 1048, 1012, 3968, 1012, 14134, 19594, 1006, 3172, 1007, 1012, 3904, 1997, 1996, 4243, 2000, 1996, 23280, 2182, 3406, 2020, 4591, 2000, 2113, 3251, 1996, 10439, 24178, 2593, 2734, 2582, 1999, 24343, 3949, 2030, 1010, 2065, 2002, 2106, 1010, 2129, 2146, 2107, 3949, 2052, 2197, 1012, 2065, 1996, 10439, 14774, 2063, 1998, 1996, 2457, 2020, 1997, 1996, 5448, 2008, 6766, 2001, 1037, 5473, 2000, 2554, 1998, 2020, 2025, 5621, 4180, 2000, 2292, 1996, 8519, 2012, 2789, 2110, 5646, 2129, 2146, 6766, 2734, 2000, 2994, 1998, 4374, 3949, 1010, 1996, 2344, 1997, 19703, 4346, 2005, 2107, 2323, 2196, 2031, 2042, 3133, 1999, 1996, 2034, 6013, 1012, 2174, 1010, 2383, 15186, 2008, 3570, 2006, 1996, 10439, 24178, 2009, 2003, 24670, 15571, 2000, 2139, 18098, 3512, 2032, 1997, 2010, 7044, 2005, 4436, 3458, 1996, 10439, 24178, 1005, 1055, 2491, 1010, 2008, 2003, 1010, 2138, 1996, 2902, 1005, 1055, 17927, 7522, 2106, 2025, 2903, 2002, 2734, 1996, 3949, 11436, 2011, 1996, 2457, 1012, 2156, 10154, 2368, 1058, 1012, 4108, 1010, 10514, 18098, 2050, 1012, 2009, 2003, 2256, 5448, 1010, 3568, 1010, 2008, 1996, 2344, 7065, 23212, 3070, 1996, 10439, 24178, 1005, 1055, 19703, 2022, 15348, 1998, 1996, 3979, 2457, 2003, 2182, 3762, 2856, 2000, 4607, 2019, 2344, 2000, 5851, 1996, 10439, 24178, 1005, 1055, 2713, 2013, 9968, 1998, 2000, 19222, 12259, 2032, 2000, 2010, 19703, 5649, 3570, 1012, 1008, 6079, 2575, 1999, 2422, 1997, 2256, 3247, 2006, 1996, 22617, 1997, 2023, 3043, 1010, 1996, 3314, 2992, 2011, 1996, 10439, 24178, 20246, 2000, 1996, 24508, 18419, 2024, 9587, 4140, 1012, 2174, 1010, 2057, 5254, 1010, 2005, 1996, 5770, 1997, 1996, 10439, 14774, 2063, 1010, 2008, 2009, 2003, 2025, 7182, 2000, 3710, 5060, 1997, 1037, 4994, 2000, 20320, 1037, 6251, 1997, 19703, 2588, 1037, 19703, 2121, 1005, 1055, 4905, 1012, 1047, 1012, 1054, 1012, 1055, 1012, 5187, 2509, 1012, 28714, 1006, 1015, 1007, 1006, 1037, 1007, 1998, 1006, 1038, 1007, 4919, 2275, 2041, 1996, 5450, 1999, 2029, 5060, 2442, 2022, 15186, 2588, 1037, 13474, 1012, 2156, 2036, 11404, 1058, 1012, 5663, 1010, 18712, 1012, 10439, 1012, 1010, 19827, 1055, 1012, 1059, 1012, 14134, 3938, 2475, 1006, 3261, 1007, 1010, 1998, 18201, 8540, 1058, 1012, 11228, 11880, 3669, 1010, 27517, 1057, 1012, 1055, 1012, 6255, 2620, 1010, 6109, 1055, 1012, 14931, 1012, 22370, 1010, 4029, 1048, 1012, 3968, 1012, 14134, 3515, 2575, 1006, 3381, 1007, 1012, 1996, 3043, 2003, 2182, 3762, 2128, 2386, 5732, 2000, 1996, 6890, 4984, 2457, 2005, 2582, 8931, 2025, 20316, 2007, 2023, 5448, 1012, 2035, 9530, 10841, 2099, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 2023, 2565, 2003, 2489, 4007, 1025, 2017, 2064, 2417, 2923, 3089, 8569, 2618, 2009, 1998, 1013, 2030, 1008, 19933, 2009, 2104, 1996, 3408, 1997, 1996, 27004, 2236, 2270, 6105, 1008, 2004, 2405, 2011, 1996, 2489, 4007, 3192, 1025, 2593, 2544, 1016, 1008, 1997, 1996, 6105, 1010, 2030, 1006, 2012, 2115, 5724, 1007, 2151, 2101, 2544, 1012, 1008, 1008, 2023, 2565, 2003, 5500, 1999, 1996, 3246, 2008, 2009, 2097, 2022, 6179, 1010, 1008, 2021, 2302, 2151, 10943, 2100, 1025, 2302, 2130, 1996, 13339, 10943, 2100, 1997, 1008, 6432, 8010, 2030, 10516, 2005, 1037, 3327, 3800, 1012, 2156, 1996, 1008, 27004, 2236, 2270, 6105, 2005, 2062, 4751, 1012, 1008, 1008, 2017, 2323, 2031, 2363, 1037, 6100, 1997, 1996, 27004, 2236, 2270, 6105, 1008, 2247, 2007, 2023, 2565, 1025, 2065, 2025, 1010, 4339, 2000, 1996, 2489, 4007, 3192, 1010, 1008, 4297, 1012, 1010, 4868, 5951, 2395, 1010, 3587, 2723, 1010, 3731, 1010, 5003, 6185, 14526, 2692, 1011, 7558, 2487, 1010, 3915, 1012, 1008, 1013, 1013, 1008, 1008, 1032, 5371, 1008, 1032, 13749, 22107, 12987, 1008, 1013, 1001, 2421, 1026, 2358, 19422, 12322, 1012, 1044, 1028, 1001, 2421, 1026, 6537, 1012, 1044, 1028, 1001, 2421, 1000, 23923, 2063, 1035, 16913, 18095, 1012, 1044, 1000, 1001, 2421, 1000, 23923, 2063, 1035, 8790, 4502, 18447, 1012, 1044, 1000, 1001, 2421, 1000, 6064, 1035, 8790, 4502, 18447, 1035, 4127, 1012, 1044, 1000, 1001, 2421, 1000, 6064, 1035, 16913, 18095, 1035, 4127, 1012, 1044, 1000, 1001, 2421, 1000, 6064, 1035, 4874, 1035, 2486, 1035, 4127, 1012, 1044, 1000, 1001, 2421, 1000, 6064, 1035, 4874, 1035, 4127, 1012, 1044, 1000, 1001, 2421, 1000, 6064, 1035, 3496, 1035, 4127, 1012, 1044, 1000, 1001, 2421, 1000, 12987, 1035, 9375, 1012, 1044, 1000, 1001, 2421, 1000, 12987, 1035, 4372, 2819, 1035, 4127, 1012, 1044, 1000, 1001, 2421, 1000, 12987, 1035, 4722, 1012, 1044, 1000, 1001, 2421, 1000, 1059, 2213, 1035, 4127, 1012, 1044, 1000, 9530, 3367, 4372, 24237, 18981, 15010, 4221, 2213, 12987, 1035, 4372, 2819, 1035, 17678, 1035, 8790, 4502, 18447, 1035, 2828, 1035, 5167, 1031, 1033, 1027, 1063, 1063, 16913, 1035, 8790, 4502, 18447, 1035, 2828, 1035, 10683, 1010, 1000, 10683, 1000, 1010, 1014, 1010, 1000, 10683, 1000, 1010, 1000, 1000, 1065, 1010, 1063, 16913, 1035, 8790, 4502, 18447, 1035, 2828, 1035, 8248, 1010, 1000, 8248, 1000, 1010, 1014, 1010, 1000, 8248, 1000, 1010, 1000, 1000, 1065, 1010, 1063, 1014, 1010, 19701, 1010, 1014, 1010, 19701, 1010, 19701, 1065, 1010, 1065, 1025, 1001, 2065, 3207, 2546, 12987, 1035, 2448, 7292, 1001, 2421, 1000, 23923, 2063, 1035, 6123, 1012, 1044, 1000, 1001, 2421, 1000, 23923, 2063, 1035, 10811, 1012, 1044, 1000, 1001, 2421, 1000, 2139, 2290, 1035, 2139, 4523, 14413, 1012, 1044, 1000, 1001, 2421, 1000, 2139, 2290, 1035, 2139, 4523, 14413, 1035, 3857, 1012, 1044, 1000, 10763, 25869, 1008, 12987, 1035, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1035, 4130, 1006, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 10906, 1027, 1006, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 16913, 18095, 2850, 2696, 1008, 9108, 1027, 1006, 16913, 18095, 2850, 2696, 1008, 1007, 10906, 1011, 1028, 7610, 2094, 1025, 25869, 2171, 1035, 9686, 2278, 1031, 2946, 11253, 1006, 9108, 1011, 1028, 2171, 1007, 1008, 1016, 1033, 1025, 1038, 3669, 1035, 2358, 6072, 19464, 1006, 2171, 1035, 9686, 2278, 1010, 9108, 1011, 1028, 2171, 1010, 2946, 11253, 1006, 2171, 1035, 9686, 2278, 1007, 1007, 1025, 2709, 1038, 3669, 1035, 9043, 2546, 2078, 1006, 1000, 16913, 28295, 1031, 1032, 1000, 1003, 1055, 1032, 1000, 1033, 1012, 10683, 1035, 10906, 1000, 1010, 2171, 1035, 9686, 2278, 1007, 1025, 1065, 10763, 25869, 1008, 12987, 1035, 8790, 4502, 18447, 18623, 21678, 8613, 1035, 4130, 1006, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 18623, 21678, 8613, 1008, 10906, 1027, 1006, 8790, 4502, 18447, 18623, 21678, 8613, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 16913, 18095, 2850, 2696, 1008, 9108, 1027, 1006, 16913, 18095, 2850, 2696, 1008, 1007, 10906, 1011, 1028, 7610, 2094, 1025, 25869, 2171, 1035, 9686, 2278, 1031, 2946, 11253, 1006, 9108, 1011, 1028, 2171, 1007, 1008, 1016, 1033, 1025, 1038, 3669, 1035, 2358, 6072, 19464, 1006, 2171, 1035, 9686, 2278, 1010, 9108, 1011, 1028, 2171, 1010, 2946, 11253, 1006, 2171, 1035, 9686, 2278, 1007, 1007, 1025, 2709, 1038, 3669, 1035, 9043, 2546, 2078, 1006, 1000, 16913, 28295, 1031, 1032, 1000, 1003, 1055, 1032, 1000, 1033, 1012, 8248, 1035, 10906, 1000, 1010, 2171, 1035, 9686, 2278, 1007, 1025, 1065, 10763, 25869, 1008, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 4130, 1006, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 26210, 12172, 1008, 3302, 1027, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 16913, 18095, 2850, 2696, 1008, 9108, 1027, 1006, 16913, 18095, 2850, 2696, 1008, 1007, 3302, 1011, 1028, 10683, 1011, 1028, 7610, 2094, 1025, 25869, 2171, 1035, 9686, 2278, 1031, 2946, 11253, 1006, 9108, 1011, 1028, 2171, 1007, 1008, 1016, 1033, 1025, 25869, 2171, 1035, 9686, 2278, 1035, 3302, 1031, 2946, 11253, 1006, 3302, 1011, 1028, 2171, 1007, 1008, 1016, 1033, 1025, 1038, 3669, 1035, 2358, 6072, 19464, 1006, 2171, 1035, 9686, 2278, 1010, 9108, 1011, 1028, 2171, 1010, 2946, 11253, 1006, 2171, 1035, 9686, 2278, 1007, 1007, 1025, 1038, 3669, 1035, 2358, 6072, 19464, 1006, 2171, 1035, 9686, 2278, 1035, 3302, 1010, 3302, 1011, 1028, 2171, 1010, 2946, 11253, 1006, 2171, 1035, 9686, 2278, 1035, 3302, 1007, 1007, 1025, 2709, 1038, 3669, 1035, 9043, 2546, 2078, 1006, 1000, 16913, 28295, 1031, 1032, 1000, 1003, 1055, 1032, 1000, 1033, 1012, 10683, 1035, 10906, 1012, 10683, 1035, 9972, 1031, 1032, 1000, 1003, 1055, 1032, 1000, 1033, 1000, 1010, 2171, 1035, 9686, 2278, 1010, 2171, 1035, 9686, 2278, 1035, 3302, 1007, 1025, 1065, 1013, 1008, 1008, 9972, 1008, 1013, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 1035, 2417, 19506, 4305, 8873, 2121, 1006, 2364, 1008, 15171, 1006, 1038, 24238, 1007, 1010, 3496, 1008, 15171, 1006, 3496, 1007, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 2139, 2290, 1035, 8909, 1035, 6415, 1035, 10651, 1006, 13866, 2099, 1011, 1028, 3954, 1035, 8909, 1010, 8909, 1035, 28667, 2389, 2278, 1035, 10988, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 2015, 1035, 10651, 15643, 2015, 1006, 2364, 1008, 15171, 1006, 1038, 24238, 1007, 1010, 3496, 1008, 15171, 1006, 3496, 1007, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 1035, 17053, 6279, 13701, 15643, 2015, 1006, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 25141, 1006, 2364, 1008, 1038, 24238, 1010, 3496, 1008, 3496, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 1035, 25141, 26210, 12172, 1006, 3496, 1010, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1007, 1025, 12987, 1035, 8790, 4502, 18447, 1035, 2417, 19506, 4305, 8873, 2121, 1006, 1038, 24238, 1010, 3496, 1010, 13866, 2099, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 3988, 18717, 13874, 1006, 2364, 1008, 1038, 24238, 1010, 3496, 1008, 3496, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 26210, 12172, 1008, 3302, 1027, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 3302, 1011, 1028, 1999, 4183, 1035, 6741, 18442, 1031, 1014, 1033, 1027, 1005, 1032, 1014, 1005, 1025, 8790, 4502, 18447, 1035, 28837, 3126, 12172, 1006, 3496, 1010, 3302, 1007, 1025, 12987, 1035, 8790, 4502, 18447, 1035, 2417, 19506, 4305, 8873, 2121, 1006, 1038, 24238, 1010, 3496, 1010, 13866, 2099, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 4310, 18442, 1006, 2364, 1008, 15171, 1006, 1038, 24238, 1007, 1010, 3496, 1008, 15171, 1006, 3496, 1007, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 26210, 12172, 1035, 2275, 19496, 4226, 18442, 1006, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1010, 1006, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1007, 1011, 1028, 2171, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 2689, 13874, 1006, 2364, 1008, 1038, 24238, 1010, 3496, 1008, 3496, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 26210, 12172, 1035, 10651, 13874, 1006, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1007, 1025, 8790, 4502, 18447, 1035, 25141, 26210, 12172, 1006, 3496, 1010, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1007, 1025, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 25141, 1006, 1038, 24238, 1010, 3496, 1010, 13866, 2099, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 2015, 1035, 2689, 14192, 4017, 1006, 2364, 1008, 1038, 24238, 1010, 3496, 1008, 3496, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 26210, 12172, 1008, 3302, 1027, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 3302, 1011, 1028, 2828, 1027, 16913, 1035, 1040, 4502, 18447, 1035, 3302, 1035, 1056, 1035, 6773, 1025, 8790, 4502, 18447, 26210, 12172, 1035, 10651, 13874, 1006, 1006, 8790, 4502, 18447, 26210, 12172, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1007, 1025, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 25141, 1006, 1038, 24238, 1010, 3496, 1010, 13866, 2099, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 1035, 25141, 1035, 24394, 1006, 2364, 1008, 1038, 24238, 1010, 3496, 1008, 15171, 1006, 3496, 1007, 1010, 20884, 12789, 1008, 15171, 1006, 13866, 2099, 1007, 1007, 1063, 2139, 2290, 1035, 4262, 1035, 6415, 1035, 10651, 1006, 1038, 24238, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 25141, 1035, 24394, 1006, 2364, 1008, 1038, 24238, 1010, 3496, 1008, 3496, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1035, 25141, 1006, 1038, 24238, 1010, 3496, 1010, 13866, 2099, 1007, 1025, 12987, 1035, 8790, 4502, 18447, 1035, 25141, 1035, 24394, 1006, 1038, 24238, 1010, 3496, 1010, 13866, 2099, 1007, 1025, 1065, 10763, 20884, 12789, 12987, 1035, 23262, 3126, 12172, 1035, 3161, 1035, 2131, 1006, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 10683, 1027, 1006, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 8790, 4502, 18447, 26210, 12172, 1008, 3302, 1027, 10683, 1011, 1028, 9972, 1012, 2034, 1025, 20014, 8909, 1027, 1014, 1025, 2005, 1006, 1025, 3302, 1025, 3302, 1027, 3302, 1011, 1028, 2279, 1007, 1063, 2065, 1006, 8909, 1027, 1027, 10683, 1011, 1028, 3161, 1035, 7505, 1007, 1063, 2709, 12987, 1035, 20884, 1035, 22490, 1035, 25416, 3170, 1006, 13866, 2099, 1010, 1004, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1010, 3302, 1007, 1025, 1065, 8909, 1009, 1009, 1025, 1065, 2709, 12987, 1035, 20884, 1035, 22490, 1035, 25416, 3170, 1006, 13866, 2099, 1010, 1004, 12987, 1035, 8790, 4502, 18447, 26210, 12172, 1010, 19701, 1007, 1025, 1065, 10763, 11675, 12987, 1035, 8790, 4502, 18447, 1035, 9972, 1035, 4088, 1006, 3074, 21572, 4842, 3723, 21646, 8844, 1008, 2009, 2121, 1010, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 10683, 1027, 1006, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 1001, 2065, 1014, 12987, 1035, 2009, 6906, 4263, 1035, 9140, 1035, 4088, 1006, 2009, 2121, 1010, 1006, 11675, 1008, 1007, 10683, 1011, 1028, 9972, 1010, 2946, 11253, 1006, 23262, 3126, 12172, 1007, 1010, 10683, 1011, 1028, 2000, 10422, 2099, 1010, 1014, 1010, 1014, 1007, 1025, 1001, 2203, 10128, 12987, 1035, 2009, 6906, 4263, 1035, 2862, 15058, 1035, 4088, 1006, 2009, 2121, 1010, 1004, 10683, 1011, 1028, 9972, 1010, 19701, 1007, 1025, 1065, 10763, 20014, 12987, 1035, 3302, 1035, 3161, 1035, 2391, 1035, 5950, 1035, 2131, 1006, 20884, 12789, 1008, 13866, 2099, 1007, 1063, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 10683, 1027, 1006, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 1007, 13866, 2099, 1011, 1028, 2951, 1025, 2709, 10683, 1011, 1028, 3161, 1035, 7505, 1025, 1065, 10763, 11675, 12987, 1035, 3302, 1035, 3161, 1035, 2391, 1035, 5950, 1035, 2275, 1006, 2358, 6820, 6593, 20884, 12789, 1008, 13866, 2099, 1010, 20014, 3643, 1007, 1063, 8790, 4502, 18447, 9336, 12044, 21678, 8613, 1008, 10683 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6445, 5665, 1012, 14134, 20405, 1006, 3150, 1007, 25873, 1050, 1012, 1041, 1012, 14134, 5187, 2581, 1996, 2111, 1997, 1996, 2110, 1997, 4307, 1010, 10439, 14774, 2063, 1010, 1058, 1012, 2745, 1047, 6820, 26320, 1010, 10439, 24178, 1012, 2053, 1012, 25621, 28756, 1012, 4259, 2457, 1997, 4307, 1012, 5448, 6406, 2255, 2459, 1010, 3150, 1012, 1008, 24622, 1008, 24559, 2984, 6157, 1010, 4112, 8291, 1010, 1997, 1996, 2436, 1997, 1996, 2110, 23240, 8291, 1010, 1997, 23792, 1006, 4754, 1049, 1012, 2482, 5302, 5149, 1010, 2375, 3076, 1010, 1997, 9517, 1007, 1010, 2005, 10439, 24178, 1012, 2520, 1046, 1012, 3660, 1010, 4905, 2236, 1010, 1997, 10493, 1006, 6221, 1038, 1012, 17090, 1010, 4940, 1037, 1012, 10716, 1010, 3781, 1012, 1010, 1998, 2928, 1048, 1012, 18672, 8743, 1010, 3353, 16214, 2236, 1010, 1997, 9517, 1007, 1010, 2005, 1996, 2111, 1012, 8689, 19768, 1012, 2720, 1012, 3425, 17866, 5359, 1996, 5448, 1997, 1996, 2457, 1024, 2206, 1037, 6467, 3979, 1999, 1996, 4984, 2457, 1997, 2663, 2638, 16078, 2080, 2221, 1010, 13474, 1010, 2745, 1047, 6820, 26320, 1010, 2001, 7979, 1997, 4028, 1998, 7331, 2000, 2322, 2000, 2753, 2086, 1999, 1996, 29569, 1012, 1996, 23240, 2457, 19768, 1006, 6356, 5665, 1012, 10439, 1012, 7605, 6070, 2487, 1007, 1010, 1998, 2057, 4379, 13474, 2681, 2000, 5574, 1012, 13474, 27481, 2015, 2008, 1996, 2610, 14424, 2010, 9392, 2916, 2011, 5719, 2000, 6970, 21799, 2032, 2044, 2002, 7303, 9517, 1012, 3188, 2000, 2010, 3979, 2005, 1996, 4028, 1997, 2508, 9303, 20307, 1010, 13474, 2333, 2000, 16081, 3056, 4297, 5313, 4502, 7062, 8635, 2081, 2000, 2093, 2600, 3877, 2610, 3738, 2574, 2044, 2010, 6545, 1012, 1037, 4994, 2001, 2218, 2006, 13474, 1005, 1055, 4367, 1010, 2076, 2029, 2009, 2001, 3936, 2008, 13474, 2001, 4727, 2006, 1996, 3944, 1997, 2281, 1018, 1010, 3299, 1010, 27081, 2000, 1037, 10741, 4861, 2029, 13474, 1005, 1055, 6513, 1010, 10666, 21396, 2906, 2480, 1010, 2018, 2445, 2000, 1996, 2600, 3877, 2610, 1012, 2014, 4861, 24843, 1996, 4751, 4193, 2019, 5043, 1999, 2029, 13474, 3303, 9303, 20307, 1005, 1055, 2331, 2011, 21690, 2032, 2195, 2335, 2007, 1037, 5442, 2096, 1996, 2048, 2020, 8084, 1999, 1037, 2482, 2076, 1996, 2220, 2851, 2847, 1997, 2257, 2654, 1010, 3299, 1012, 3188, 2000, 1008, 24232, 2108, 8781, 2011, 6317, 18016, 2072, 1010, 6317, 27178, 4381, 1998, 6722, 14891, 6212, 10698, 1010, 13474, 2001, 2445, 1996, 2440, 9392, 16234, 1012, 13474, 3090, 2008, 2002, 5319, 2010, 2916, 1998, 1010, 2012, 1022, 1024, 2322, 1052, 1012, 1049, 1012, 1010, 2772, 1037, 2517, 23701, 6299, 1011, 1997, 1011, 2916, 2433, 1012, 13474, 2034, 4660, 3980, 2055, 2195, 20934, 10623, 8017, 3111, 1010, 15142, 2000, 1996, 21690, 5043, 1010, 1998, 3090, 2008, 2002, 2018, 2042, 2920, 1999, 2498, 2842, 1012, 2044, 2108, 8781, 2055, 1996, 21690, 1010, 2174, 1010, 13474, 2772, 1037, 4861, 17727, 19341, 3436, 2370, 1999, 9303, 20307, 1005, 1055, 2331, 1012, 2035, 2093, 3738, 14914, 2008, 13474, 2081, 2053, 5227, 8800, 2000, 2010, 9392, 2916, 2076, 2023, 2051, 2558, 1012, 2006, 2892, 1011, 7749, 1010, 2174, 1010, 2169, 2961, 14914, 2008, 13474, 2106, 2191, 1037, 3433, 2043, 2027, 2318, 2000, 3160, 2032, 2055, 1996, 21690, 1012, 2429, 2000, 6317, 18016, 2072, 1010, 13474, 2056, 1010, 1000, 3524, 1037, 3371, 1012, 2672, 1045, 11276, 2000, 2031, 2019, 4905, 1012, 2017, 4364, 2024, 2667, 2000, 9231, 1037, 4028, 9680, 2006, 2033, 1010, 2507, 2033, 2322, 2000, 2871, 2086, 1012, 1000, 6317, 27178, 4381, 14914, 2008, 13474, 2992, 6822, 2039, 2041, 1997, 2010, 3242, 1998, 2056, 1010, 1000, 4931, 1010, 2017, 1005, 2128, 2667, 2000, 9231, 1037, 4028, 2006, 2033, 1012, 2672, 1045, 2342, 1037, 5160, 1012, 1000, 22267, 1010, 2429, 2000, 6722, 14891, 6212, 10698, 1010, 13474, 2056, 1010, 1000, 2074, 1037, 3371, 1012, 2008, 1005, 1055, 1037, 2322, 2000, 2871, 2086, 6251, 1012, 2672, 1045, 11276, 2000, 2831, 2000, 2019, 4905, 1012, 2017, 1005, 2128, 2667, 2000, 9231, 1037, 4028, 9680, 2006, 2033, 1012, 1000, 6317, 27178, 4381, 3880, 2000, 13474, 2008, 1996, 2739, 2865, 1010, 2025, 1996, 2610, 1010, 2018, 2056, 2009, 2001, 4028, 1025, 2008, 2069, 2048, 2111, 2354, 2054, 2018, 3047, 1998, 2028, 1997, 2068, 2001, 2757, 1012, 2043, 13474, 2356, 1996, 3738, 2129, 2027, 2354, 1996, 21690, 2001, 2025, 2589, 1999, 2969, 1011, 3639, 1010, 1996, 3738, 2056, 2027, 2106, 2025, 2113, 1998, 2008, 2001, 2339, 2027, 2359, 2000, 2831, 2000, 2032, 2055, 2009, 1012, 3859, 6920, 1010, 13474, 2435, 1037, 2517, 4861, 17927, 2008, 2002, 2018, 13263, 9303, 20307, 1998, 7851, 1996, 6214, 4193, 1996, 5043, 1012, 2429, 2000, 13474, 1005, 1055, 10896, 1010, 2012, 1996, 2051, 1996, 3738, 2356, 2032, 2055, 1996, 21690, 5043, 1010, 2002, 5393, 2000, 2068, 2008, 2002, 2245, 2002, 2323, 2031, 2019, 4905, 1012, 1008, 25048, 2006, 2892, 1011, 7749, 1010, 2002, 4914, 2008, 1996, 3738, 1005, 4070, 1997, 1996, 4512, 2001, 8321, 1012, 1996, 2892, 1011, 7749, 2506, 2004, 4076, 1012, 1000, 1053, 1012, 2339, 2106, 2017, 3613, 3331, 2000, 2068, 2044, 2017, 2360, 2017, 2056, 1010, 1036, 1045, 2228, 1045, 2323, 2031, 2019, 4905, 1005, 1029, 1037, 1012, 2031, 2017, 2412, 2042, 6970, 26565, 2011, 2093, 2600, 3877, 2610, 18145, 1029, 1053, 1012, 2053, 1010, 1045, 4033, 1005, 1056, 1010, 2021, 1045, 2215, 2000, 2113, 2339, 2017, 2506, 3331, 2000, 2068, 1012, 1037, 1012, 2138, 1045, 3373, 2009, 2001, 2969, 1011, 3639, 1012, 1045, 2145, 2079, 1012, 2027, 2359, 1037, 4861, 1997, 2054, 3047, 2000, 3154, 2009, 2039, 1012, 1045, 2359, 2000, 2131, 2009, 2125, 2026, 3108, 1010, 2061, 1045, 2435, 2068, 1037, 4861, 1012, 1053, 1012, 2021, 2017, 2113, 2017, 2018, 1037, 2157, 2000, 2031, 2019, 4905, 2045, 2065, 2017, 2359, 2028, 1010, 2134, 1005, 1056, 2017, 1029, 1037, 1012, 2748, 1010, 1045, 2106, 1012, 1053, 1012, 2017, 2412, 18292, 2006, 2383, 2019, 4905, 11925, 1029, 1037, 1012, 1045, 2356, 2005, 2019, 4905, 2077, 1045, 2211, 1996, 4861, 1010, 1998, 1045, 2387, 2008, 2009, 2001, 2025, 2183, 2000, 2131, 2033, 5973, 1010, 2061, 1045, 2074, 7024, 2006, 2008, 2240, 1010, 2138, 1045, 2074, 2354, 1045, 2347, 1005, 1056, 2183, 2000, 2131, 2019, 4905, 4312, 2015, 1012, 1053, 1012, 2106, 2009, 5258, 2000, 2017, 2025, 2000, 2831, 2151, 2582, 1029, 1037, 1012, 2748, 1010, 2021, 2009, 4158, 2000, 2033, 1045, 2453, 2022, 2039, 2035, 2305, 1998, 2022, 24186, 2098, 2011, 2122, 2093, 18145, 1012, 1000, 2012, 3155, 1023, 1037, 1012, 1049, 1012, 1996, 2279, 2851, 1010, 1996, 2168, 2093, 3738, 4912, 2000, 3160, 13474, 2582, 2055, 1996, 5043, 1012, 13474, 2001, 2356, 2065, 2002, 2145, 5319, 2010, 2916, 1012, 2002, 3880, 2008, 2002, 2106, 1998, 2008, 2002, 2052, 2831, 2000, 1996, 3738, 1012, 13474, 2059, 2409, 1996, 3738, 2062, 2055, 1996, 5043, 1012, 1996, 4984, 2457, 6380, 13474, 1005, 1055, 4367, 2000, 16081, 1996, 2517, 1998, 8700, 8635, 1010, 4531, 2008, 1996, 8635, 2020, 2081, 17912, 1010, 2008, 13474, 5319, 2010, 2916, 1010, 1998, 2008, 2010, 2916, 2020, 2025, 14424, 1012, 1999, 1996, 23240, 2457, 1010, 1996, 13474, 5275, 1010, 1999, 2112, 1010, 2008, 2010, 8635, 2020, 4663, 2083, 16871, 2029, 2001, 2506, 2044, 2002, 2018, 7303, 9517, 1012, 1996, 23240, 2457, 1010, 1999, 21358, 27972, 2075, 1996, 10652, 1010, 2218, 2008, 13474, 1005, 1055, 5254, 1997, 2019, 4905, 2106, 2025, 12346, 1037, 5227, 2005, 9517, 2104, 9392, 1012, 1008, 17196, 1996, 4117, 9918, 1997, 1996, 4243, 1999, 2023, 2457, 3198, 2149, 2000, 5630, 1010, 2034, 1010, 3251, 13474, 24959, 2010, 3587, 7450, 2157, 2000, 9517, 1010, 1998, 1010, 2117, 1010, 10262, 13474, 2106, 1999, 6767, 3489, 2107, 2157, 1010, 1006, 1037, 1007, 3251, 2010, 2517, 4861, 2001, 1996, 2765, 1997, 2506, 1000, 16871, 1010, 1000, 1006, 1038, 1007, 3251, 2002, 6920, 16301, 2010, 2157, 2000, 9517, 1010, 2593, 2077, 2010, 2517, 4861, 2030, 2077, 2010, 8700, 4861, 1996, 2206, 2851, 1010, 1998, 1006, 1039, 1007, 3251, 1996, 9634, 1997, 1996, 8635, 2046, 3350, 2001, 19741, 7561, 1012, 1996, 2157, 2000, 9517, 2920, 2182, 2003, 2019, 20621, 1997, 1996, 3587, 7450, 14293, 2114, 2969, 1011, 4297, 20026, 12758, 1012, 2023, 2157, 2442, 2022, 2081, 2124, 2000, 1037, 8343, 3188, 2000, 12731, 16033, 27184, 16871, 2004, 2112, 1997, 1996, 16234, 2029, 1996, 2142, 2163, 4259, 2457, 4233, 1999, 9392, 1058, 1012, 5334, 1006, 3547, 1007, 1010, 4229, 2549, 1057, 1012, 1055, 1012, 4724, 2575, 1010, 2385, 1048, 1012, 3968, 1012, 14134, 6353, 2549, 1010, 6564, 1055, 1012, 14931, 1012, 8148, 2475, 1012, 1996, 9392, 16234, 2024, 17678, 29598, 28804, 28805, 2015, 2881, 2000, 3457, 2114, 20701, 1997, 1996, 14293, 2114, 2969, 1011, 4297, 20026, 12758, 1012, 8635, 2081, 2011, 1037, 8343, 2004, 1037, 2765, 1997, 1999, 1011, 9968, 16871, 2024, 2025, 4748, 26770, 2000, 5323, 2010, 8056, 4983, 1996, 2457, 4858, 2008, 1996, 8343, 16301, 2010, 9392, 2916, 3188, 2000, 2437, 1996, 8635, 1012, 1996, 8866, 2008, 1037, 8343, 1005, 1055, 8635, 2020, 10758, 1010, 2008, 2002, 2081, 2068, 2007, 1037, 2440, 4824, 1997, 2010, 9392, 2916, 1010, 1998, 2008, 2002, 3322, 2081, 1037, 10758, 1010, 4209, 1998, 9414, 23701, 6299, 1997, 2010, 2916, 1010, 2024, 2025, 2467, 7182, 1012, 2750, 2122, 3785, 1010, 2065, 1037, 8343, 1000, 7127, 1999, 2151, 5450, 1998, 2012, 2151, 2754, 1997, 1996, 2832, 2008, 2002, 8996, 2000, 23363, 2007, 2019, 4905, 2077, 4092, 2045, 2064, 2022, 2053, 11242, 1012, 1000, 1006, 9392, 1058, 1012, 5334, 1006, 3547, 1007, 1010, 4229, 2549, 1057, 1012, 1055, 1012, 4724, 2575, 1010, 4008, 2549, 1011, 3429, 1010, 2385, 1048, 1012, 3968, 1012, 14134, 6353, 2549, 1010, 3963, 2581, 1010, 6564, 1055, 1012, 14931, 1012, 8148, 2475, 1010, 29186, 1012, 1007, 2947, 1010, 2130, 2065, 1037, 8343, 3322, 16301, 2010, 2916, 1998, 3530, 2000, 2831, 2000, 4614, 1010, 2002, 8269, 1996, 2157, 2000, 3013, 2125, 11242, 2101, 2011, 17942, 2030, 1999, 22776, 2010, 2157, 2000, 2019, 4905, 1012, 13474, 1005, 1055, 17674, 2001, 17611, 2649, 2012, 1996, 1008, 23532, 4994, 2006, 1996, 4367, 2000, 16081, 2004, 1000, 2672, 1045, 11276, 2000, 2031, 2019, 4905, 1010, 1000, 1000, 2672, 1045, 2342, 1037, 5160, 1010, 1000, 1998, 1000, 2672, 1045, 11276, 2000, 2831, 2000, 2019, 4905, 1012, 1000, 9392, 1005, 1055, 1000, 1999, 2151, 5450, 1000, 2653, 23303, 2008, 2019, 23617, 1997, 1996, 2157, 2000, 9517, 2342, 2025, 2022, 13216, 1010, 16655, 15549, 6767, 9289, 1010, 2030, 2081, 2007, 24219, 15563, 1012, 2057, 2079, 2025, 2903, 1010, 2174, 1010, 2008, 1996, 4259, 2457, 3832, 2011, 2023, 2653, 2008, 2296, 4431, 2000, 2019, 4905, 1010, 2053, 3043, 2129, 13727, 1010, 27427, 8586, 17417, 3726, 2030, 20080, 1010, 2323, 12346, 2019, 1999, 19152, 1997, 1996, 2157, 2000, 9517, 1012, 1996, 2501, 21009, 2008, 13474, 2003, 1037, 2711, 1997, 3671, 4454, 1010, 2008, 2002, 3929, 5319, 2010, 9392, 2916, 1010, 1998, 2008, 2002, 6464, 16301, 2010, 2916, 2077, 11242, 1998, 3530, 2000, 2831, 2007, 1996, 3738, 1012, 1996, 16871, 6354, 2005, 2069, 1037, 2460, 2096, 1012, 2045, 2003, 2053, 12407, 2008, 13474, 2001, 2104, 2151, 24873, 11890, 3258, 2030, 4241, 8303, 2060, 2084, 2008, 16112, 1999, 2296, 12731, 16033, 27184, 4292, 1012, 2069, 2043, 1996, 11242, 7237, 2013, 20934, 10623, 8017, 3111, 2000, 1996, 21690, 5043, 2106, 1996, 13474, 8327, 2070, 13431, 1010, 2004, 5393, 2011, 1996, 27427, 8586, 17417, 3726, 12629, 9339, 3041, 1012, 2429, 2000, 1996, 3350, 1010, 3904, 1997, 1996, 3738, 2641, 13474, 1005, 1055, 7615, 7727, 2000, 2019, 4905, 2000, 2022, 1037, 5227, 2005, 9517, 1012, 2348, 1996, 3738, 1005, 20714, 9029, 2008, 13474, 1005, 1055, 7615, 2001, 2025, 1037, 5227, 2005, 9517, 2024, 2025, 2000, 2022, 2445, 6151, 5657, 7902, 2030, 3635, 1010, 1996, 3738, 2442, 2022, 3039, 2000, 6912, 2037, 8689, 1999, 12515, 3251, 1037, 8343, 2038, 7303, 9517, 1012, 1006, 2156, 9392, 1058, 1012, 5334, 1006, 3547, 1007, 1010, 4229, 2549, 1057, 1012, 1055, 1012, 4724, 2575, 1010, 4466, 2575, 1050, 1012, 4583, 1010, 2385, 1048, 1012, 3968, 1012, 14134, 6353, 2549, 1010, 28004, 1050, 1012, 4583, 1010, 6564, 1055, 1012, 14931, 1012, 8148, 2475, 1010, 28502, 1050, 1012, 4583, 1012, 1007, 2182, 1010, 1996, 3738, 3711, 2000, 2031, 6051, 1999, 2204, 4752, 1999, 2025, 13325, 13474, 1005, 1055, 12629, 2000, 2022, 2019, 12407, 2008, 2002, 9059, 2019, 4905, 1012, 2037, 4593, 10218, 6772, 2008, 13474, 2106, 2025, 4792, 9517, 7126, 2000, 10782, 2023, 2553, 2013, 2500, 13538, 2588, 2011, 13474, 1012, 2156, 23848, 12798, 1058, 1012, 14855, 3995, 1006, 5351, 25022, 2099, 1012, 3301, 1007, 1010, 23712, 1042, 1012, 14134, 16798, 1025, 2110, 1058, 1012, 10594, 1006, 3245, 1007, 1010, 13285, 1050, 1012, 1044, 1012, 5824, 2620, 1010, 28941, 1037, 1012, 14134 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1008, 1008, 1996, 1005, 1005, 2392, 10497, 1005, 1005, 2839, 5080, 7711, 1996, 1031, 1031, 8694, 2099, 1033, 1033, 1998, 1031, 1031, 9703, 8566, 20051, 2953, 1033, 1033, 8051, 1012, 1012, 1012, 1006, 3602, 1024, 2045, 2024, 2367, 4127, 1997, 2122, 8051, 6177, 2005, 1996, 2367, 1031, 1031, 3617, 2678, 5062, 1064, 26718, 2615, 4781, 1033, 1033, 1007, 1008, 1008, 1996, 1005, 1005, 2392, 10497, 1005, 1005, 2839, 5080, 7711, 1996, 1031, 1031, 8694, 2099, 1033, 1033, 1998, 1031, 1031, 9703, 8566, 20051, 2953, 1033, 1033, 8051, 1012, 1012, 1012, 1006, 3602, 1024, 2045, 2024, 2367, 4127, 1997, 2122, 8051, 6177, 2005, 1996, 2367, 1031, 1031, 3617, 2678, 5062, 1064, 26718, 2615, 4781, 1033, 1033, 1007, 1008, 1005, 1005, 17183, 5602, 1005, 1005, 1008, 1005, 1005, 17183, 5602, 1005, 1005, 1597, 1008, 1008, 1996, 1005, 1005, 17183, 5602, 1005, 1005, 2839, 5080, 7711, 1996, 17736, 2005, 6364, 1996, 1031, 1031, 3665, 5460, 1064, 3665, 5460, 1033, 1033, 1006, 24529, 1007, 1012, 1009, 1008, 1008, 1996, 1005, 1005, 17183, 5602, 1005, 1005, 2839, 5080, 7711, 1996, 17736, 2005, 6364, 1996, 1031, 1031, 3665, 5460, 1064, 3665, 5460, 1033, 1033, 1006, 24529, 1007, 1012, 1999, 11305, 1010, 1996, 17183, 11314, 11514, 2571, 2595, 2121, 19584, 1996, 24529, 2046, 2049, 6922, 3033, 1006, 2029, 2788, 4372, 14162, 2108, 2195, 5746, 1998, 2678, 9199, 1010, 2004, 2092, 2004, 2070, 2951, 9199, 1007, 1008, 1008, 1008, 1005, 1005, 1040, 19716, 1005, 1005, 1008, 1008, 1008, 1005, 1005, 1040, 19716, 1005, 1005, 1597, 1008, 1008, 1008, 1008, 1996, 1005, 1005, 1040, 19716, 1005, 1005, 2003, 1037, 11177, 5080, 2008, 2003, 3378, 2007, 1996, 17183, 5602, 2839, 5080, 1012, 1012, 1012, 2009, 18058, 2039, 1996, 24529, 2005, 2593, 1024, 1009, 1008, 1008, 1008, 1008, 1996, 1005, 1005, 1040, 19716, 1005, 1005, 2003, 1037, 11177, 5080, 2008, 2003, 3378, 2007, 1996, 17183, 5602, 2839, 5080, 1012, 1012, 1012, 2009, 18058, 2039, 1037, 24529, 2008, 2001, 3674, 19068, 2013, 1996, 4942, 1011, 9199, 9675, 1998, 21839, 1010, 2013, 1996, 2434, 24529, 1010, 2011, 1996, 17183, 5602, 2005, 2593, 1024, 1024, 1024, 1024, 1024, 1006, 1015, 1007, 6234, 18245, 1011, 1011, 1011, 1999, 2029, 2553, 2009, 2038, 2000, 2022, 21933, 5732, 2593, 1024, 1024, 1024, 1024, 1024, 1006, 1015, 1007, 6234, 18245, 1011, 1011, 1011, 1999, 2029, 2553, 2009, 2038, 2000, 2022, 21933, 5732, 2593, 1024, 1024, 1024, 1024, 1024, 1024, 1037, 1007, 2006, 1996, 5080, 2993, 1012, 1012, 1012, 1031, 2085, 2420, 2049, 3243, 4678, 2005, 7473, 5733, 2000, 2031, 8051, 21933, 4667, 1006, 1031, 1031, 8051, 2030, 4007, 21933, 4063, 1029, 1064, 2156, 6594, 1033, 1033, 1007, 1010, 2021, 2023, 2003, 5121, 2025, 1996, 2553, 2005, 1031, 1031, 2358, 2497, 1033, 1033, 1055, 1007, 1024, 1024, 1024, 1024, 1024, 1037, 1007, 2006, 1996, 5080, 2993, 1012, 1012, 1012, 1031, 2085, 2420, 2049, 3243, 4678, 2005, 7473, 5733, 2000, 2031, 8051, 21933, 4667, 1006, 1031, 1031, 8051, 2030, 4007, 21933, 4063, 1029, 1064, 2156, 6594, 1033, 1033, 1007, 1010, 2021, 2023, 2003, 5121, 2025, 1996, 2553, 2005, 1031, 1031, 2358, 2497, 1033, 1033, 1055, 1007, 2240, 2756, 1024, 2240, 2756, 1024, 1024, 1024, 1024, 1024, 2030, 1024, 1024, 1024, 1024, 2030, 1024, 1024, 1024, 1024, 1006, 1016, 1007, 7494, 2000, 9785, 2005, 2101, 18245, 1012, 1024, 1024, 1024, 1024, 1006, 1016, 1007, 7494, 2000, 9785, 2005, 2101, 18245, 1012, 1009, 1024, 1999, 11305, 1010, 1996, 1005, 1005, 17183, 5602, 1005, 1005, 21933, 8737, 27465, 1996, 2434, 24529, 1998, 27034, 1013, 17736, 3327, 2104, 16992, 4942, 1011, 9199, 1998, 1996, 1040, 19716, 2059, 16360, 8684, 13923, 2216, 16310, 2306, 1037, 24529, 1012, 4050, 1996, 3674, 19068, 24529, 3024, 2011, 1996, 1005, 1005, 1040, 19716, 1005, 1005, 2052, 2022, 3605, 1997, 2019, 3265, 2565, 5460, 1008, 1005, 1005, 5658, 1005, 1005, 1008, 1005, 1005, 5658, 1005, 1005, 1597, 1008, 1008, 1996, 1005, 1005, 5658, 1005, 1005, 2839, 5080, 7711, 1996, 3754, 2000, 3073, 12997, 1011, 2058, 1011, 1040, 26493, 1006, 1045, 1012, 1041, 1012, 5871, 2241, 4274, 2326, 1007, 1009, 1008, 1008, 1996, 1005, 1005, 5658, 1005, 1005, 2839, 5080, 7711, 1996, 3754, 2000, 3073, 12997, 1011, 2058, 1011, 1040, 26493, 1006, 1041, 1012, 1043, 1012, 5871, 2241, 19595, 4274, 2326, 1012, 1012, 1012, 3602, 1024, 2348, 2009, 2003, 2025, 3855, 1999, 1996, 1031, 8299, 1024, 1013, 1013, 11603, 9189, 1012, 8917, 1013, 22956, 1013, 1058, 2549, 2140, 1011, 1040, 26493, 1011, 17928, 2015, 1013, 10381, 16932, 1012, 16129, 17928, 12653, 1033, 1010, 2023, 15380, 2003, 2025, 7775, 2000, 5871, 1006, 1040, 26493, 1011, 1055, 1007, 2894, 1011, 1011, 2151, 1040, 26493, 5214, 5080, 2064, 2490, 2009, 1010, 3024, 2017, 2224, 1996, 1040, 26493, 5658, 11336, 1006, 1045, 1012, 1041, 1012, 2009, 2003, 2825, 2058, 1040, 26493, 1011, 1039, 1998, 1040, 26493, 1011, 1056, 2004, 2092, 1007, 1012, 1996, 1040, 26493, 7159, 5896, 1999, 1996, 1031, 1031, 11603, 9189, 1040, 26493, 1011, 18726, 1064, 1040, 26493, 1011, 18726, 1033, 1033, 16024, 2023, 1012, 2004, 2019, 2742, 1010, 2119, 4045, 4448, 1998, 26408, 2031, 1040, 26493, 2358, 2497, 5733, 2029, 2064, 3073, 2107, 19595, 2578, 1012, 1007, 1008, 1005, 1005, 2678, 1005, 1005, 1008, 1005, 1005, 2678, 1005, 1005, 1008, 1008, 1996, 1005, 1005, 2678, 1005, 1005, 2839, 5080, 7711, 1996, 6131, 13910, 2475, 2678, 21933, 4063, 1997, 1996, 1040, 26493, 8051, 1006, 2065, 2556, 1012, 1012, 1012, 2179, 2006, 2061, 2170, 1000, 1031, 1031, 2440, 1011, 2956, 4003, 1001, 1006, 1045, 1007, 1000, 2440, 1011, 2956, 1000, 2030, 1000, 12882, 1000, 5329, 1064, 2440, 1011, 2956, 5080, 1033, 1033, 1055, 1000, 1007, 1012, 1012, 1012, 1012, 3602, 1024, 2079, 2025, 28679, 2023, 2007, 1996, 2678, 2839, 5080, 2580, 2011, 1058, 2549, 2140, 5733, 1006, 2156, 1996, 1031, 1031, 5080, 14164, 1998, 2839, 5733, 1001, 1058, 2549, 2140, 1035, 2839, 1035, 5733, 1064, 6594, 2917, 1033, 1033, 1007, 1010, 2004, 2027, 2024, 4498, 2367, 2477, 1012, 4919, 1010, 1996, 1040, 26493, 2678, 2839, 5080, 2069, 7711, 21933, 4667, 1997, 1996, 6131, 13910, 2678, 5460, 1010, 2025, 2049, 8312, 2006, 1996, 3274, 2030, 2694, 3898, 1012, 2023, 2101, 3853, 1010, 2006, 1037, 2440, 1011, 2956, 5080, 1010, 2003, 4050, 8971, 2011, 2019, 3378, 2678, 2549, 4115, 5602, 5080, 24582, 1010, 2029, 4473, 25169, 1998, 12854, 6434, 3645, 1012, 2491, 1997, 2023, 2101, 5080, 2003, 2511, 2083, 1037, 1058, 2549, 2140, 2839, 5080, 1010, 4919, 1010, 1005, 1005, 1013, 16475, 1013, 2678, 1005, 1005, 1012, 1008, 1008, 1996, 1005, 1005, 2678, 1005, 1005, 2839, 5080, 7711, 1996, 6131, 13910, 2475, 2678, 21933, 4063, 1997, 1996, 1040, 26493, 8051, 1006, 2065, 2556, 1012, 1012, 1012, 2179, 2006, 2061, 2170, 1000, 1031, 1031, 2440, 1011, 2956, 4003, 1001, 1006, 1045, 1007, 1000, 2440, 1011, 2956, 1000, 2030, 1000, 12882, 1000, 5329, 1064, 2440, 1011, 2956, 5080, 1033, 1033, 1055, 1000, 1007, 1012, 1012, 1012, 1012, 3602, 1024, 2079, 2025, 28679, 2023, 2007, 1996, 2678, 2839, 5080, 2580, 2011, 1058, 2549, 2140, 5733, 1006, 2156, 1996, 1031, 1031, 5080, 14164, 1998, 2839, 5733, 1001, 1058, 2549, 2140, 1035, 2839, 1035, 5733, 1064, 6594, 2917, 1033, 1033, 1007, 1010, 2004, 2027, 2024, 4498, 2367, 2477, 1012, 4919, 1010, 1996, 1040, 26493, 2678, 2839, 5080, 2069, 7711, 21933, 4667, 1997, 1996, 6131, 13910, 2678, 5460, 1010, 2025, 2049, 8312, 2006, 1996, 3274, 2030, 2694, 3898, 1012, 2023, 2101, 3853, 1010, 2006, 1037, 2440, 1011, 2956, 5080, 1010, 2003, 4050, 8971, 2011, 2019, 3378, 2678, 2549, 4115, 5602, 5080, 24582, 1010, 2029, 4473, 25169, 1998, 12854, 6434, 3645, 1012, 2491, 1997, 2023, 2101, 5080, 2003, 2511, 2083, 1037, 1058, 2549, 2140, 2839, 5080, 1010, 4919, 1010, 1005, 1005, 1013, 16475, 1013, 2678, 1005, 1005, 1012, 2240, 5139, 1024, 2240, 4583, 1024, 1026, 3642, 1028, 1048, 2015, 1011, 1048, 1013, 16475, 1013, 1058, 2549, 2140, 1026, 1013, 3642, 1028, 1026, 3642, 1028, 1048, 2015, 1011, 1048, 1013, 16475, 1013, 1058, 2549, 2140, 1026, 1013, 3642, 1028, 2054, 2017, 2323, 2424, 1999, 2008, 1005, 1005, 1005, 5080, 13045, 1005, 1005, 1005, 2003, 1037, 4942, 14176, 1010, 2315, 1000, 2011, 1011, 4130, 1000, 1010, 2008, 3397, 12613, 6971, 2000, 1005, 1005, 1005, 2839, 5080, 1005, 1005, 1005, 6764, 1010, 3005, 7511, 3415, 1998, 4972, 2024, 22539, 1999, 1996, 2795, 2917, 1012, 2054, 2017, 2323, 2424, 1999, 2008, 1005, 1005, 1005, 5080, 13045, 1005, 1005, 1005, 2003, 1037, 4942, 14176, 1010, 2315, 1000, 2011, 1011, 4130, 1000, 1010, 2008, 3397, 12613, 6971, 2000, 1005, 1005, 1005, 2839, 5080, 1005, 1005, 1005, 6764, 1010, 3005, 7511, 3415, 1998, 4972, 2024, 22539, 1999, 1996, 2795, 2917, 1012, 1009, 1063, 1063, 3602, 1064, 2017, 2064, 5646, 2029, 5080, 7341, 2000, 1005, 1005, 2678, 2078, 1005, 1005, 2011, 9844, 1010, 2005, 2742, 1006, 1999, 1996, 2553, 1997, 1037, 7473, 2072, 4003, 1007, 1010, 1996, 5884, 1024, 3902, 1024, 10453, 1012, 4569, 2278, 2592, 3024, 2011, 1996, 3094, 1048, 13102, 6895, 2000, 1996, 3378, 6971, 1999, 1996, 2011, 1011, 4130, 14176, 1012, 1012, 1012, 1012, 5399, 6660, 1010, 23032, 17695, 25941, 19646, 1006, 1007, 2030, 25353, 22747, 2015, 2064, 2022, 2109, 2000, 14451, 2029, 1058, 2549, 2140, 4062, 7341, 2000, 1005, 1005, 2678, 2078, 1005, 1005, 1031, 8299, 1024, 1013, 1013, 7479, 1012, 5653, 1011, 8756, 1012, 4012, 1013, 11603, 1011, 2865, 1030, 1058, 4590, 1012, 16293, 1012, 8917, 1013, 5796, 2290, 19841, 2692, 27814, 1012, 16129, 1033, 1065, 1065, 8417, 2005, 1037, 1040, 26493, 5080, 1037, 7919, 8209, 5080, 11336, 2323, 2765, 1999, 1037, 2512, 1011, 4064, 1013, 16475, 1013, 1040, 26493, 14176, 1012, 2017, 2064, 4638, 2006, 3251, 2023, 2003, 2995, 2007, 1996, 2206, 3094, 1024, 1048, 2015, 1011, 1048, 1013, 16475, 1013, 1040, 26493, 1013, 1006, 14084, 1010, 2017, 2064, 11347, 2063, 2115, 14176, 3252, 2007, 1996, 20477, 5371, 3208, 1997, 2115, 3601, 1007, 1012, 2062, 4919, 1010, 1996, 6434, 1997, 1996, 2682, 3094, 2323, 7487, 2008, 1013, 16475, 1013, 1040, 26493, 1013, 2003, 10357, 2011, 1000, 15581, 11795, 1000, 1006, 13557, 1010, 1999, 3408, 1997, 4372, 17897, 15172, 1996, 5733, 5361, 1999, 1996, 2291, 1010, 1050, 1027, 1014, 2000, 3649, 1015, 1007, 1012, 2005, 2742, 1010, 2065, 2017, 2031, 2021, 1037, 2309, 1040, 26493, 5080, 5361, 1999, 2115, 2291, 1010, 2059, 5987, 2000, 2424, 1013, 16475, 1013, 1040, 26493, 1013, 15581, 2121, 2692, 1012, 1040, 26493, 2839, 5733, 1996, 11603, 1040, 26493, 17928, 3640, 2005, 2416, 19998, 2806, 2839, 5733, 2029, 3499, 2491, 1997, 1996, 8051, 6177, 2179, 2006, 1037, 3327, 1040, 26493, 5080, 15581, 2121, 1012, 2009, 2003, 2104, 2169, 15581, 11795, 14176, 2008, 2017, 2097, 2424, 2122, 2839, 5733, 1012, 1996, 3094, 1048, 2015, 1011, 1048, 1013, 16475, 1013, 1040, 26493, 1013, 15581, 2121, 2692, 7657, 1996, 2839, 5733, 3378, 2007, 15581, 2121, 2692, 2005, 2029, 1996, 6853, 2031, 2491, 1012, 2065, 2017, 2031, 2062, 2059, 2028, 1040, 26493, 5080, 1010, 2017, 2064, 2156, 1996, 2168, 2005, 2035, 2007, 1048, 2015, 1011, 1048, 1013, 16475, 1013, 1040, 26493, 1013, 15581, 2121, 1008, 2714, 2000, 1996, 2126, 1999, 2029, 1996, 5080, 15581, 2545, 2024, 4372, 17897, 9250, 1010, 1996, 2839, 5733, 3582, 1996, 2433, 1997, 1049, 1027, 1014, 2000, 3649, 1015, 1012, 2005, 2742, 1024, 1013, 16475, 1013, 1040, 26493, 1013, 15581, 2121, 2692, 1013, 2392, 10497, 2692, 1012, 1012, 1012, 1012, 2065, 1996, 2168, 5080, 2018, 1037, 2117, 2392, 10497, 1010, 2008, 2839, 5080, 2052, 2022, 4372, 17897, 9250, 2011, 1013, 16475, 1013, 1040, 26493, 1013, 15581, 2121, 2692, 1013, 2392, 10497, 2487, 1012, 1012, 1012, 2065, 2017, 2018, 2178, 1040, 26493, 15581, 2121, 1999, 1996, 2291, 1010, 2059, 2017, 2052, 2156, 1013, 16475, 1013, 1040, 26493, 1013, 15581, 2121, 2487, 1013, 2392, 10497, 2692, 1998, 2061, 5743, 1012, 1999, 4766, 1010, 2122, 2839, 5733, 2024, 1024, 2392, 10497, 1996, 2392, 10497, 2839, 5080, 7711, 1996, 8694, 2099, 1998, 9703, 8566, 20051, 2953, 8051, 1012, 1012, 1012, 1006, 3602, 1024, 2045, 2024, 2367, 4127, 1997, 2122, 8051, 6177, 2005, 1996, 2367, 26718, 2615, 4781, 1007, 17183, 5602, 1996, 17183, 5602, 2839, 5080, 7711, 1996, 17736, 2005, 6364, 1996, 3665, 5460, 1006, 24529, 1007, 1012, 1999, 11305, 1010, 1996, 17183, 11314, 11514, 2571, 2595, 2121, 19584, 1996, 24529, 2046, 2049, 6922, 3033, 1006, 2029, 2788, 4372, 14162, 2108, 2195, 5746, 1998, 2678, 9199, 1010, 2004, 2092, 2004, 2070, 2951, 9199, 1007, 1040, 19716, 1996, 1040, 19716, 2003, 1037, 11177, 5080, 2008, 2003, 3378, 2007, 1996, 17183, 5602, 2839, 5080, 1012, 1012, 1012, 2009, 18058, 2039, 1037, 24529, 2008, 2001, 3674, 19068, 2013, 1996, 4942, 1011, 9199, 9675, 1998, 21839, 1010, 2013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1000, 3722, 4079, 1000, 1000, 1045, 1005, 1049, 1999, 8753, 2105, 3011, 1012, 1000, 1000, 1045, 1005, 1049, 2182, 2000, 5114, 7339, 1012, 1000, 1000, 1045, 2066, 2686, 1012, 1000, 1000, 2045, 2024, 2053, 3471, 1999, 2686, 1012, 1000, 1000, 2053, 24216, 2015, 1012, 1000, 1000, 2053, 8488, 1012, 1000, 1000, 2138, 1999, 2686, 1010, 2045, 2024, 2053, 5346, 1012, 1000, 1000, 4079, 999, 1000, 1000, 2005, 1996, 2197, 2051, 1010, 2131, 2041, 1997, 2045, 1012, 1000, 1000, 1045, 1005, 1049, 2025, 4129, 2017, 2153, 1012, 1000, 1000, 4079, 1010, 2005, 1996, 2200, 2197, 2051, 1010, 2131, 2041, 1997, 2045, 999, 1000, 1000, 4079, 999, 1000, 1000, 4079, 1010, 2065, 1045, 3749, 2017, 2753, 1047, 4948, 2953, 1010, 2054, 2079, 2017, 2360, 1029, 1000, 1000, 3520, 1010, 2017, 1005, 2310, 2288, 2000, 2272, 2058, 1012, 1000, 1000, 2002, 1005, 1055, 1999, 1996, 8460, 1012, 1000, 1000, 2002, 1005, 1055, 2042, 2045, 2005, 2809, 2847, 2085, 1012, 1000, 1000, 4931, 1012, 1012, 1012, 1000, 1000, 2021, 1045, 4541, 2009, 2035, 2000, 2032, 1012, 1000, 1000, 2175, 3805, 1998, 2175, 1012, 1000, 1000, 2175, 1010, 2009, 1005, 1055, 2986, 1012, 1000, 1000, 2017, 2469, 1029, 1000, 1000, 3100, 1010, 1045, 1005, 1049, 2006, 2026, 2126, 1012, 1000, 1000, 3398, 1010, 9061, 1012, 1000, 1000, 2017, 1005, 2128, 2205, 3835, 1012, 1012, 1012, 1000, 1000, 1998, 2017, 1005, 2128, 2205, 2980, 1012, 1000, 1000, 2054, 1996, 3109, 1029, 1000, 1000, 2017, 1005, 2128, 1999, 2005, 2009, 1010, 12525, 999, 1000, 1000, 6135, 2128, 7559, 5732, 1012, 1000, 1000, 1016, 1010, 5018, 1011, 2008, 1005, 1055, 2026, 2345, 3749, 1012, 1000, 1000, 1045, 2064, 1005, 1056, 3102, 3566, 1998, 3611, 999, 1000, 1000, 1045, 2354, 2023, 2052, 4148, 999, 1000, 1000, 2054, 2024, 2017, 2183, 2000, 2079, 2085, 1029, 1000, 1000, 2017, 1005, 2310, 2288, 2000, 2022, 12489, 1012, 1012, 1012, 1000, 1000, 1045, 2001, 3331, 2000, 2026, 2567, 1010, 2002, 1005, 1055, 1999, 1996, 8460, 1012, 1000, 1000, 2002, 1005, 1055, 2013, 11867, 1012, 1012, 1012, 1000, 1000, 2002, 6732, 1012, 1012, 1012, 1000, 1000, 2002, 1005, 1055, 2288, 1037, 2686, 2911, 1012, 1000, 1000, 4079, 1010, 2017, 2064, 2272, 2041, 2085, 1012, 1000, 1000, 2009, 1005, 1055, 3100, 1010, 4079, 1012, 1000, 1000, 2016, 1005, 1055, 2288, 2000, 2175, 999, 1000, 1000, 2017, 2215, 2000, 2444, 2182, 2007, 2149, 1012, 1000, 1000, 2053, 1010, 2016, 1005, 1055, 2288, 2000, 2175, 1010, 3520, 1012, 1000, 1000, 2017, 1010, 2033, 1010, 1998, 10424, 8524, 2024, 2183, 2000, 2444, 2362, 1012, 1000, 1000, 5475, 2091, 1012, 1000, 1000, 2023, 2097, 2196, 2147, 1012, 1000, 1000, 2469, 2009, 2097, 1012, 1000, 1000, 1045, 1005, 2222, 2079, 2673, 3308, 1012, 1000, 1000, 2053, 1012, 1000, 1000, 4931, 1012, 1012, 1012, 1000, 1000, 2002, 2074, 3791, 2000, 2131, 2109, 2000, 2009, 1012, 1000, 1000, 2131, 2109, 2000, 2033, 2893, 2009, 3308, 1029, 1000, 1000, 2053, 1012, 1000, 1000, 2008, 2017, 1005, 2128, 1012, 1012, 1012, 2017, 1012, 1000, 1000, 1998, 2017, 2131, 2009, 3308, 2823, 1012, 1012, 1012, 1000, 1000, 2054, 2024, 2057, 2183, 2000, 2079, 1029, 1000, 1000, 4079, 1029, 1000, 1000, 2065, 2017, 1012, 1012, 1012, 1000, 1000, 2065, 2057, 1005, 2128, 2035, 2183, 2000, 2444, 2362, 1010, 2059, 2009, 1005, 1055, 2149, 2114, 1996, 2088, 1012, 1000, 1000, 1045, 2342, 10424, 8524, 1012, 1000, 1000, 2016, 7126, 2033, 1010, 2074, 2066, 1045, 2393, 2017, 1012, 1000, 1000, 2061, 2017, 2342, 2000, 2393, 2014, 1012, 1000, 1000, 2498, 2097, 2147, 2302, 2014, 1012, 1000, 1000, 2009, 1005, 1055, 2066, 2028, 1997, 2115, 11380, 1012, 1000, 1000, 6366, 2028, 1997, 2149, 1998, 2045, 2097, 2022, 2019, 10047, 26657, 1012, 1000, 1000, 3305, 1029, 1000, 1000, 15313, 1029, 1000, 1000, 2070, 2111, 2228, 1045, 1005, 1049, 2019, 10041, 1010, 2021, 1045, 1005, 1049, 2025, 1012, 1000, 1000, 1045, 2074, 2215, 2477, 2000, 3961, 1996, 2168, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2066, 2689, 1010, 2021, 1045, 2079, 2066, 3520, 1012, 1000, 1000, 2061, 1045, 1005, 2310, 2288, 2000, 2191, 2023, 8522, 2272, 2041, 2157, 1012, 1000, 1000, 3520, 3791, 10424, 8524, 2066, 1045, 2342, 3520, 1012, 1000, 1000, 2204, 1010, 2292, 1005, 1055, 2175, 5607, 2070, 27669, 2015, 1012, 1000, 1000, 2197, 2028, 2091, 2003, 1037, 2675, 1012, 1000, 1000, 2000, 2393, 2023, 8522, 2272, 2041, 2157, 1010, 1045, 1005, 2310, 5115, 2256, 3450, 1012, 1000, 1000, 2009, 1005, 1055, 2881, 2000, 2191, 2256, 3268, 2004, 3722, 2004, 2825, 1012, 1000, 1000, 8239, 12181, 999, 1000, 1000, 2302, 1996, 2157, 2051, 1010, 3635, 1998, 6466, 1010, 2057, 2089, 2022, 6908, 2125, 5703, 1012, 1000, 1000, 2123, 1005, 1056, 3543, 2033, 1045, 1005, 1049, 2004, 4842, 4590, 1005, 1055, 1000, 1000, 1045, 9544, 7925, 2000, 4286, 1012, 1000, 1000, 7925, 2024, 7142, 1010, 2096, 4286, 2024, 3375, 1998, 2524, 2000, 3305, 1012, 1000, 1000, 3407, 1000, 1000, 6517, 1000, 1000, 4854, 1000, 1000, 5458, 1000, 1000, 4527, 1000, 1000, 8699, 1000, 1000, 3201, 2005, 6350, 1029, 1000, 1000, 2156, 2017, 2101, 1012, 1012, 1012, 1000, 1000, 3520, 7126, 2033, 7180, 2006, 2051, 1012, 1000, 1000, 2051, 13531, 9396, 1012, 1000, 1000, 2065, 2017, 1005, 2128, 2025, 2006, 2051, 1010, 2017, 3891, 8488, 1012, 1000, 1000, 1045, 1005, 1049, 3374, 1010, 2024, 2017, 2035, 2157, 1029, 1000, 1000, 2054, 2079, 2017, 2228, 2017, 1005, 2128, 2725, 1029, 1000, 1000, 22021, 2115, 2227, 1012, 1000, 1000, 3398, 1012, 1012, 1012, 1000, 1000, 2021, 2054, 2005, 1029, 1000, 1000, 1045, 2031, 2004, 4842, 4590, 1005, 1055, 1012, 1000, 1000, 1998, 2008, 3084, 2009, 3100, 2000, 2718, 2111, 1029, 1000, 1000, 2017, 4046, 2026, 2849, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2066, 2108, 5028, 1012, 1000, 1000, 2292, 2033, 1012, 1012, 1012, 1000, 1000, 1045, 1005, 1049, 2397, 1012, 1000, 1000, 2006, 2051, 1010, 2004, 5156, 1012, 1000, 1000, 1045, 2147, 2698, 2847, 1037, 2154, 1010, 2274, 2420, 1037, 2733, 1010, 7093, 11926, 12709, 1037, 2095, 1012, 1000, 1000, 2000, 2070, 2111, 1010, 2410, 2965, 2919, 6735, 1010, 2021, 2025, 2000, 2033, 1012, 1000, 1000, 2009, 1005, 1055, 1037, 3539, 2193, 1010, 2069, 4487, 11365, 7028, 2011, 2993, 1012, 1000, 1000, 2066, 2033, 1012, 1000, 1000, 3086, 999, 1000, 1000, 2004, 1037, 2136, 1010, 2057, 2031, 2000, 6293, 2362, 1012, 1000, 1000, 4728, 1996, 2878, 2518, 8067, 5092, 2497, 2097, 2074, 2022, 1037, 2502, 15589, 6752, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2031, 2814, 1012, 1000, 1000, 5346, 2074, 3443, 3471, 1012, 1000, 1000, 2202, 2848, 1010, 2005, 6013, 1024, 1000, 1000, 2848, 7777, 6285, 2532, 1998, 5363, 2524, 2000, 17894, 2014, 1012, 1000, 1000, 1012, 1012, 1012, 2991, 2369, 1012, 1012, 1012, 1000, 1000, 6285, 2532, 2987, 1005, 1056, 2066, 2848, 1010, 2295, 1012, 1000, 1000, 3057, 2069, 2066, 4364, 2040, 2123, 1005, 1056, 2066, 2068, 1012, 1000, 1000, 2061, 6285, 2532, 1005, 1055, 1999, 2293, 2007, 24998, 1012, 1000, 1000, 1000, 2128, 7559, 2094, 4756, 1000, 24998, 1012, 1000, 1000, 2021, 2035, 2002, 7777, 2003, 2000, 4756, 1012, 1012, 1012, 1000, 1000, 2023, 2003, 1037, 4438, 1000, 2293, 9546, 1000, 1998, 2009, 5260, 2000, 8488, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2066, 27189, 1012, 1000, 1000, 2057, 1005, 2128, 2066, 3428, 1012, 1000, 1000, 2066, 3428, 1998, 24761, 1012, 1012, 1012, 1000, 1000, 2057, 1005, 2128, 2066, 9504, 1012, 1000, 1000, 9504, 2040, 2293, 2169, 2060, 1998, 2293, 2000, 2147, 2362, 1012, 1000, 1000, 1998, 2061, 2057, 2074, 2079, 2009, 1012, 1000, 1000, 2017, 8444, 999, 1000, 1000, 4067, 2017, 1998, 9119, 1012, 1000, 1000, 1045, 1005, 1049, 2188, 999, 1000, 1000, 2129, 2146, 2079, 1045, 2031, 1029, 1000, 1000, 2702, 2781, 1998, 2274, 3823, 1010, 2176, 3823, 1010, 2093, 3823, 1010, 2048, 3823, 1012, 1012, 1012, 1000, 1000, 1012, 1012, 1012, 2028, 2117, 1012, 1000, 1000, 2702, 2781, 1012, 1000, 1000, 3819, 1012, 1000, 1000, 1045, 2031, 2367, 9440, 2005, 2367, 2420, 1012, 1000, 1000, 6928, 1024, 1000, 1000, 24165, 1998, 24857, 1012, 1000, 1000, 9857, 1024, 1000, 1000, 28470, 1012, 1000, 1000, 9317, 1024, 1000, 1000, 14899, 2015, 1012, 1000, 1000, 9432, 1024, 1000, 1000, 14557, 28470, 1012, 1000, 1000, 5958, 1024, 1000, 1000, 11937, 13186, 1012, 1000, 1000, 5095, 1024, 1000, 1000, 10733, 1012, 1000, 1000, 4465, 1024, 1000, 1000, 3520, 1005, 1055, 16950, 25955, 3490, 2569, 1012, 1000, 1000, 3520, 26929, 1010, 1045, 2275, 1998, 3154, 1996, 2795, 1010, 1998, 10424, 8524, 2515, 1996, 10447, 1012, 1000, 1000, 2009, 1005, 1055, 1037, 2307, 16437, 2008, 3957, 2033, 2051, 2000, 3218, 2044, 4596, 1012, 1000, 1000, 7632, 1012, 1012, 1012, 1000, 1000, 4952, 1010, 1045, 2228, 1045, 2031, 2019, 2358, 2094, 1012, 1000, 1000, 1045, 1005, 1049, 2025, 1999, 1996, 6888, 1012, 1012, 1012, 1000, 1000, 2069, 2009, 1005, 1055, 2006, 2026, 2227, 1012, 1000, 1000, 2017, 1005, 2128, 2061, 2025, 6057, 999, 1000, 1000, 3835, 1012, 1000, 1000, 4931, 1010, 2339, 2123, 1005, 1056, 2057, 2377, 2070, 3455, 1029, 1000, 1000, 2077, 2002, 3310, 2067, 1012, 1000, 1000, 1045, 2031, 2000, 2079, 1996, 10447, 1012, 1000, 1000, 1045, 1005, 2222, 2079, 2009, 2101, 1012, 1000, 1000, 1045, 4872, 1012, 1000, 1000, 2272, 2006, 1012, 1012, 1012, 1000, 1000, 2057, 1005, 2222, 2031, 2702, 2781, 2077, 2002, 5651, 1012, 1000, 1000, 2672, 2017, 2064, 4608, 2026, 2358, 2094, 1012, 1000, 1000, 2272, 2006, 1012, 1000, 1000, 12487, 1010, 12487, 999, 1000, 1000, 3520, 1010, 12487, 1012, 1000, 1000, 2017, 2074, 2215, 2000, 5607, 12408, 1012, 1000, 1000, 2045, 1005, 1055, 2053, 7244, 1999, 3455, 1012, 1000, 1000, 2017, 2404, 1996, 3608, 2083, 1996, 27669, 1012, 1000, 1000, 2009, 1005, 1055, 3733, 1010, 2144, 1996, 27669, 1005, 1055, 25022, 11890, 2819, 25523, 2003, 5986, 1012, 1019, 1003, 3469, 2084, 1996, 3608, 1005, 1055, 1012, 1000, 1000, 2035, 2017, 2031, 2000, 2079, 2003, 18422, 1996, 10146, 1010, 3742, 1998, 6466, 1012, 1000, 1000, 2079, 1011, 2058, 999, 1000, 1000, 2028, 2062, 2051, 1012, 1000, 1000, 1045, 1005, 2222, 2175, 2079, 1996, 10447, 1012, 1000, 1000, 2178, 2079, 1011, 2058, 1010, 3520, 1012, 1000, 1000, 2028, 2062, 2051, 1012, 1000, 1000, 3185, 2305, 999, 1000, 1000, 2023, 2028, 2153, 1029, 1000, 1000, 999, 1000, 1000, 2009, 1005, 1055, 2176, 2847, 2146, 1012, 1000, 1000, 2048, 2847, 1010, 2570, 2781, 1010, 1998, 1017, 1021, 3823, 1012, 1000, 1000, 2064, 1005, 1056, 2057, 3422, 2242, 2006, 2694, 1029, 1000, 1000, 2053, 1012, 1000, 1000, 2045, 1005, 1055, 1037, 6621, 3946, 17083, 9006, 2006, 1012, 1000, 1000, 2748, 1012, 1012, 1012, 1000, 1000, 2053, 1012, 1000, 1000, 1045, 1050, 2008, 2553, 2017, 1005, 2222, 2031, 2000, 3422, 1999, 2115, 2282, 1012, 1000, 1000, 2469, 1012, 1012, 1012, 1000, 1000, 2272, 2006, 1012, 1000, 1000, 1045, 1005, 1040, 2738, 3422, 1996, 2686, 3185, 1012, 1000, 1000, 1045, 2113, 1012, 1000, 1000, 2054, 1996, 3109, 1012, 1012, 1012, 1029, 1000, 1000, 2057, 1005, 2128, 2041, 1997, 11848, 3259, 1012, 1012, 1012, 1000, 1000, 2131, 2041, 1997, 2182, 999, 1000, 1000, 4828, 999, 1000, 1000, 2017, 1005, 2128, 2025, 5962, 1012, 1000, 1000, 2057, 1005, 2222, 2131, 2083, 2023, 1012, 1000, 1000, 2053, 1010, 2017, 1005, 2128, 2074, 12489, 4426, 1012, 1000, 1000, 2023, 3475, 1005, 1056, 2183, 2000, 2147, 1012, 1000, 1000, 2054, 2079, 2017, 2215, 2033, 2000, 2079, 1029, 1000, 1000, 1045, 2064, 1005, 1056, 2202, 2023, 10231, 1012, 1000, 1000, 1045, 2064, 1005, 1056, 5926, 2026, 2219, 2567, 2041, 999, 1000, 1000, 3475, 1005, 1056, 2008, 14057, 1029, 1000, 1000, 10424, 8524, 1012, 1012, 1012, 1000, 1000, 2073, 2024, 2017, 2183, 1029, 1000, 1000, 2339, 2064, 1005, 1056, 2017, 2074, 3844, 2039, 1029, 1000, 1000, 999, 1000, 1000, 2644, 2652, 1010, 2017, 8239, 18224, 999, 1000, 1000, 2123, 1005, 1056, 3543, 2032, 999, 1000, 1000, 2123, 1005, 1056, 2175, 999, 1000, 1000, 3531, 1029, 1000, 1000, 6616, 2125, 999, 1000, 1000, 2681, 2033, 2894, 1012, 1000, 1000, 1045, 2215, 2000, 2022, 2007, 2017, 1012, 1000, 1000, 2053, 1010, 2017, 2215, 2000, 2022, 2007, 2115, 2567, 1012, 1000, 1000, 2002, 3791, 2033, 1010, 2074, 2066, 1045, 2342, 2017, 1012, 1000, 1000, 3531, 2123, 1005, 1056, 2175, 1012, 1000, 1000, 2016, 2187, 1010, 2021, 2012, 2560, 2085, 2009, 1005, 2222, 2022, 3835, 1998, 4251, 1012, 1000, 1000, 4079, 1029, 1000, 1000, 2009, 1005, 1055, 2025, 2115, 6346, 1012, 1000, 1000, 2016, 2134, 1005, 1056, 2812, 2054, 2016, 2056, 1012, 1000, 1000, 2016, 1005, 2222, 2272, 2067, 1010, 2016, 2467, 2515, 1012, 1000, 1000, 2123, 1005, 1056, 2022, 6517, 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, 13932, 1010, 13109, 2050, 1012, 1517, 1996, 2346, 2038, 2042, 2204, 2000, 1996, 18159, 1010, 2040, 3961, 15188, 1999, 7892, 1521, 26434, 5825, 2046, 5958, 2305, 1521, 1055, 17010, 2007, 1996, 3516, 12915, 2012, 1996, 22861, 1004, 1056, 2415, 1012, 2208, 2051, 2003, 2275, 2005, 1021, 1024, 2382, 1052, 1012, 1049, 1012, 3802, 1006, 24524, 2078, 1010, 5818, 1012, 1019, 1996, 2998, 9594, 1007, 1012, 1996, 2304, 1004, 2751, 2024, 1017, 1011, 1014, 1011, 1014, 2006, 1996, 2346, 1010, 2073, 2027, 2031, 4046, 13079, 5222, 1012, 2044, 8084, 2041, 1997, 1996, 4796, 1998, 5128, 3209, 1999, 2019, 1014, 1011, 1017, 4920, 2007, 2093, 3442, 2188, 6409, 2000, 2707, 1996, 2161, 1010, 1996, 18159, 2128, 1011, 2511, 2037, 2377, 2076, 1037, 2416, 1011, 2154, 1010, 2048, 1011, 2208, 2346, 4440, 1999, 5169, 1998, 5334, 2008, 2387, 2068, 7796, 1020, 1011, 1016, 1998, 1019, 1011, 1017, 9248, 1012, 2007, 2178, 2346, 2663, 1517, 1019, 1011, 1017, 2058, 1996, 2047, 2259, 16422, 1517, 1998, 1037, 1020, 1011, 1014, 20996, 4904, 1997, 1996, 26880, 2006, 9857, 2305, 2012, 14595, 3871, 2005, 2037, 2034, 2188, 2663, 1997, 1996, 2161, 1010, 1996, 18159, 2024, 1018, 1011, 1014, 1011, 1015, 1999, 2037, 2627, 2274, 2399, 1998, 3110, 9657, 2055, 2037, 2208, 2012, 2119, 4515, 1997, 1996, 3256, 1012, 1523, 2057, 2018, 2000, 2424, 1037, 5703, 2045, 2090, 1996, 2048, 1010, 1998, 1045, 2228, 1999, 1996, 2197, 2208, 1010, 2130, 2295, 1031, 5334, 1033, 2018, 2209, 1037, 2843, 1031, 2006, 2037, 2346, 4440, 1033, 1010, 1045, 2245, 2057, 2428, 3266, 2000, 2079, 2008, 2092, 1010, 1524, 18159, 2132, 2873, 8149, 19290, 2056, 2206, 1996, 2136, 1521, 1055, 3653, 16650, 17260, 2012, 1996, 22861, 1004, 1056, 2415, 1012, 1523, 2057, 2134, 1521, 1056, 2507, 2068, 2172, 1010, 1998, 1045, 2245, 2057, 7013, 1037, 2843, 1010, 2061, 2009, 1521, 1055, 2055, 2008, 2568, 5670, 1010, 2183, 2013, 10048, 2000, 3639, 1998, 2067, 1998, 5743, 1010, 1998, 1045, 2228, 2256, 4364, 2024, 19158, 1037, 2843, 2488, 2000, 2008, 1012, 1524, 1523, 1045, 2228, 2009, 1521, 1055, 1037, 5257, 1997, 10597, 1998, 8186, 1010, 2057, 1521, 2128, 2025, 2002, 28032, 5844, 1010, 1524, 2056, 9538, 2100, 1047, 26549, 1012, 1523, 2008, 1521, 1055, 2129, 2057, 27904, 2890, 2893, 1996, 3463, 2157, 2085, 1012, 1045, 2228, 4364, 2024, 3225, 2000, 2022, 2062, 6625, 2007, 2169, 2060, 2006, 1996, 3256, 1998, 1999, 2256, 2291, 1010, 1998, 4147, 1037, 18159, 3933, 1010, 1998, 2008, 7126, 1012, 1524, 1523, 4364, 4995, 1521, 1056, 3241, 2165, 2172, 1010, 1998, 2057, 1521, 2128, 2183, 2041, 2045, 1998, 2652, 1010, 1998, 2025, 2667, 2000, 2404, 2006, 1037, 2265, 1012, 1045, 2228, 2216, 2477, 2362, 8945, 3207, 2092, 2005, 2256, 2136, 1012, 1524, 5958, 2305, 1521, 1055, 17010, 14590, 2125, 1996, 2034, 2067, 1011, 2000, 1011, 2067, 1997, 1996, 2161, 2005, 1996, 18159, 1010, 2040, 2097, 2227, 1996, 7407, 1999, 9925, 3016, 2006, 5095, 2305, 1006, 1021, 1024, 4002, 1052, 1012, 1049, 1012, 3802, 1007, 1010, 1998, 2037, 3579, 2157, 2085, 2003, 8345, 9578, 2006, 1996, 12915, 1012, 3516, 2003, 2125, 2000, 1037, 1019, 1011, 1017, 1011, 1015, 2707, 1998, 2038, 2180, 2048, 3442, 2399, 1010, 1018, 1011, 1015, 2058, 5169, 1998, 1020, 1011, 1016, 2058, 5759, 1012, 1996, 18159, 2020, 3300, 1998, 3300, 2007, 2037, 4448, 2407, 9169, 1999, 1996, 11869, 2012, 1996, 2203, 1997, 1996, 2297, 1011, 2321, 2161, 1010, 2004, 2119, 2780, 3724, 2000, 2131, 2046, 1996, 7555, 1012, 1523, 1045, 2228, 2256, 4364, 2024, 16764, 1998, 3305, 2045, 1521, 1055, 2145, 1037, 2843, 1997, 2147, 2000, 2022, 2589, 2000, 5335, 2256, 3873, 2252, 1998, 2057, 1521, 2128, 2092, 5204, 1997, 2008, 1010, 1524, 2056, 19290, 1012, 1523, 2057, 1521, 2310, 2074, 2288, 2000, 2562, 2746, 2046, 2399, 1998, 2667, 2000, 2191, 9731, 2488, 2296, 2305, 1998, 2025, 2298, 2061, 2172, 2012, 2054, 2057, 1521, 2310, 2180, 1998, 2054, 2057, 1521, 2310, 2439, 2062, 2084, 1010, 1520, 2054, 1521, 1055, 1996, 4119, 2006, 2008, 2168, 1523, 2305, 1029, 1521, 1524, 1523, 2023, 2003, 1037, 2204, 2136, 2182, 2008, 1521, 1055, 2042, 9229, 1037, 2843, 1999, 1996, 2197, 2261, 2086, 1998, 2003, 1037, 4190, 4183, 20127, 1012, 1524, 1523, 2027, 1521, 2128, 1037, 2524, 1011, 2551, 2136, 1517, 2027, 2288, 2125, 2000, 1037, 7823, 2707, 1010, 2021, 2027, 1521, 2310, 2209, 2428, 2092, 9906, 1010, 1524, 2056, 3516, 2132, 2873, 11063, 26984, 1012, 1523, 2027, 1521, 2128, 2028, 1997, 2216, 2780, 2008, 2003, 2183, 2000, 4119, 1998, 9748, 2105, 1998, 2377, 2524, 1010, 1998, 2009, 2323, 2022, 1037, 2613, 2204, 3231, 1012, 1524, 1523, 2197, 2095, 1010, 2027, 2736, 1037, 2261, 2685, 3805, 1997, 2149, 1012, 1045, 2156, 1996, 2168, 2518, 2023, 2095, 1012, 2009, 1521, 1055, 2183, 2000, 2022, 1037, 2645, 2005, 1037, 9129, 1997, 2780, 1012, 1524, 3516, 1521, 1055, 2087, 3522, 3377, 2058, 1996, 18846, 2234, 2007, 2093, 2373, 1011, 2377, 3289, 1998, 1037, 3819, 2305, 2006, 1996, 1052, 2243, 2008, 2443, 1037, 2460, 11774, 2098, 19552, 1012, 1523, 1045, 2228, 2057, 2272, 2041, 1998, 2057, 1521, 2128, 3492, 4389, 5600, 2135, 1010, 1524, 2056, 2280, 7987, 20023, 13218, 14630, 1012, 1523, 2057, 3046, 2000, 2693, 2039, 1996, 3256, 2004, 1037, 3131, 1010, 2057, 1521, 2310, 2042, 6728, 6442, 19496, 10074, 2006, 2569, 2780, 9906, 1012, 1045, 2228, 2008, 27904, 2015, 10468, 2009, 1012, 2498, 2569, 1010, 2021, 2057, 2131, 1996, 3105, 2589, 2011, 2837, 2182, 1012, 1524, 2096, 1996, 12915, 1521, 2373, 2377, 2003, 4396, 5079, 2005, 2353, 1010, 1996, 18159, 3961, 2012, 1996, 2327, 1997, 1996, 2223, 2006, 1996, 2158, 5056, 1010, 2383, 4991, 2006, 3157, 1997, 2037, 2654, 6695, 1006, 3590, 1012, 1015, 3867, 1007, 1012, 4679, 3201, 2000, 2175, 1010, 20441, 4502, 21820, 21068, 17710, 6212, 4679, 2097, 2022, 3201, 2000, 2175, 2005, 5958, 2305, 1521, 1055, 17010, 2114, 1996, 12915, 1010, 2429, 2000, 19290, 1010, 2096, 28576, 11649, 20441, 4502, 21820, 2003, 21068, 1012, 2119, 2867, 2020, 2006, 1996, 3256, 2005, 5958, 1521, 1055, 3653, 16650, 17260, 1999, 13932, 1012, 4679, 2001, 12739, 2007, 1062, 4181, 2080, 25869, 2050, 2006, 3639, 1010, 2096, 20441, 4502, 23111, 2368, 20931, 2012, 2415, 2007, 3782, 5163, 2006, 1996, 2959, 2240, 1012, 2027, 2018, 4370, 2125, 1996, 3256, 2006, 9317, 1998, 9432, 2005, 6032, 1010, 1999, 8069, 2008, 2027, 2052, 2022, 3201, 2000, 2175, 1012, 4679, 2018, 2000, 6073, 2125, 2019, 9596, 2718, 2046, 1996, 7923, 2076, 1996, 2674, 6279, 2007, 5334, 2006, 9857, 2008, 3303, 2032, 2000, 3335, 1996, 2353, 2558, 1012, 20441, 4502, 21820, 9411, 2007, 2019, 18206, 3663, 1999, 2008, 2208, 2008, 2387, 2032, 2377, 3132, 12363, 1999, 1996, 2353, 1012, 1523, 3110, 2204, 2085, 1012, 2009, 2001, 1037, 2210, 5931, 3232, 1997, 2420, 1010, 2021, 3110, 3492, 2204, 2085, 1010, 1524, 2056, 4679, 1012, 1523, 2000, 2022, 7481, 1010, 1045, 2018, 2785, 1997, 22843, 2009, 2039, 2093, 12363, 2077, 1998, 2008, 2718, 2001, 2074, 2785, 1997, 15140, 10984, 1010, 2061, 1996, 2377, 2008, 3047, 2077, 2941, 2081, 2009, 2062, 3278, 2021, 1045, 3984, 1996, 2718, 2246, 2066, 2009, 2001, 1037, 2210, 2978, 4326, 1012, 1524, 1523, 2074, 2667, 2000, 6133, 2009, 2004, 2057, 2175, 1010, 1524, 4679, 2794, 1012, 1523, 2045, 2024, 1037, 2193, 1997, 6441, 2802, 1996, 2095, 1998, 1031, 2057, 1521, 2222, 1033, 2074, 2785, 1997, 6133, 2009, 2129, 2009, 3632, 1012, 1524, 20710, 2243, 3517, 2000, 2707, 10722, 6968, 2912, 20710, 2243, 2001, 1996, 2034, 3125, 2666, 2125, 1996, 3256, 2012, 3653, 16650, 17260, 1998, 3517, 2000, 2707, 2006, 5958, 2305, 2114, 3516, 1010, 2007, 10680, 13430, 7092, 4298, 2893, 5095, 1521, 1055, 2208, 2114, 9925, 3016, 1012, 20710, 2243, 3504, 2000, 4287, 7840, 2010, 2844, 2377, 2013, 9857, 2305, 1521, 1055, 1020, 1011, 1014, 2663, 2058, 5334, 2008, 4417, 1996, 15045, 3844, 5833, 1997, 2010, 2476, 1012, 2002, 1521, 1055, 1016, 1011, 1014, 1011, 1015, 1999, 2010, 2197, 2093, 4627, 1012, 10704, 11320, 5063, 2080, 2003, 3517, 2000, 2707, 2090, 1996, 12432, 2005, 1996, 12915, 1012, 14855, 16523, 2041, 5443, 1012, 18159, 1996, 2287, 1011, 2625, 15723, 20936, 2099, 14855, 16523, 1010, 2040, 2357, 4724, 2023, 2095, 1010, 2038, 2416, 3289, 1998, 2184, 2685, 2006, 1996, 2161, 2005, 1996, 12915, 1010, 2000, 2507, 2032, 5824, 2620, 2476, 3289, 1006, 3587, 2035, 1011, 2051, 1998, 2093, 3289, 2369, 13389, 19542, 2638, 1007, 1012, 2002, 2187, 3516, 1521, 1055, 2197, 2208, 2006, 9857, 2114, 5169, 2007, 1037, 2896, 1011, 2303, 4544, 1998, 8440, 1521, 1056, 2042, 3294, 5451, 2041, 2005, 1996, 2208, 2114, 3731, 1010, 2021, 2003, 2025, 3517, 2000, 2377, 1012, 1523, 14855, 16523, 1521, 1055, 5525, 1037, 3492, 2204, 2447, 1010, 2061, 2027, 1521, 2310, 2288, 2032, 2041, 2021, 1996, 4845, 2027, 2716, 2039, 1031, 6307, 8233, 1033, 2003, 1037, 3492, 2204, 2447, 1010, 2205, 1010, 1998, 2027, 2145, 2209, 2986, 2302, 1031, 14855, 16523, 1033, 2197, 2208, 1010, 1524, 2056, 10192, 1012, 1523, 2061, 1045, 2228, 2009, 1521, 1055, 2183, 2000, 2022, 1037, 7823, 2645, 2005, 2149, 1998, 2057, 1521, 2128, 2183, 2000, 2031, 2000, 2022, 3201, 2000, 2175, 1012, 1524, 10192, 1010, 3044, 11414, 1999, 2007, 7972, 2780, 2043, 1996, 18159, 1998, 12915, 2081, 1996, 3119, 2007, 5261, 10192, 1998, 13875, 3044, 2006, 2251, 1015, 1010, 2009, 2790, 2066, 1037, 5024, 1523, 3873, 3119, 1524, 2008, 2052, 5770, 2119, 3903, 1012, 10192, 2038, 4906, 1999, 2092, 2004, 1037, 7987, 20023, 2007, 2010, 2844, 2167, 1011, 2148, 1010, 2524, 1011, 29338, 2208, 1010, 1998, 2002, 2038, 2093, 3289, 1998, 2809, 2685, 2000, 2265, 2005, 2009, 1012, 2096, 10192, 2001, 2559, 2830, 2000, 2652, 2114, 2010, 1523, 2214, 24115, 1524, 2006, 1996, 12915, 1010, 2002, 1521, 1055, 2042, 9107, 2010, 2047, 2136, 1012, 1523, 2009, 1521, 1055, 3835, 2000, 2022, 2067, 2188, 1010, 2009, 1521, 1055, 1037, 2307, 4044, 1010, 2045, 1521, 1055, 1037, 2843, 1997, 3873, 12610, 2039, 2045, 1998, 2108, 2485, 2000, 2155, 1010, 2009, 1521, 1055, 1037, 2843, 6082, 1010, 1524, 2056, 10192, 1012, 1523, 2009, 1521, 1055, 1037, 2843, 1997, 8277, 2746, 2000, 1996, 18416, 1998, 2057, 2031, 1037, 2307, 2177, 1997, 4364, 1999, 2182, 1010, 2061, 2009, 1521, 1055, 2042, 4569, 1012, 1524, 5564, 1010, 3044, 2038, 17730, 2370, 2000, 1037, 2402, 1010, 12072, 2100, 12915, 2136, 1010, 2007, 2698, 2685, 1006, 2176, 3289, 1010, 2093, 8456, 1007, 2083, 3157, 2399, 1012, 1523, 1045, 2123, 1521, 1056, 2228, 2009, 27904, 2015, 2412, 2428, 3517, 2021, 2017, 2071, 2156, 3731, 2001, 2183, 2083, 1037, 2978, 1997, 1037, 6653, 1998, 5278, 2039, 1996, 2136, 1037, 2210, 2978, 1010, 2061, 2017, 2467, 2031, 2019, 2801, 2008, 2477, 2089, 4148, 1010, 1524, 3044, 2056, 1997, 1996, 3119, 1010, 1998, 3264, 2010, 8277, 2005, 2652, 2114, 2010, 2280, 2136, 1012, 1523, 2009, 1521, 1055, 5525, 2242, 2017, 2031, 14867, 2006, 2115, 8094, 1010, 1524, 2002, 2056, 1012, 1523, 2027, 1521, 2310, 2042, 2980, 2004, 1997, 2397, 1998, 2097, 5791, 2272, 2041, 2007, 1037, 2843, 1997, 5492, 1529, 1031, 1998, 1033, 1996, 3731, 2373, 2377, 2003, 3492, 12765, 1012, 1524, 2247, 2007, 3044, 1010, 3731, 12060, 3236, 2039, 2007, 14630, 1010, 2040, 2003, 1999, 1996, 2117, 2161, 1997, 1037, 2048, 1011, 2095, 3066, 2002, 2772, 2007, 3516, 2004, 1037, 2489, 4005, 1999, 2297, 1012, 10192, 2985, 2197, 2161, 2007, 14630, 2006, 1996, 12915, 1998, 2404, 2039, 2476, 3616, 2007, 2539, 3289, 1998, 3486, 2685, 2083, 5824, 2399, 1012, 1523, 1045, 1521, 1049, 2469, 1045, 1521, 2222, 2963, 2242, 1031, 2013, 2032, 1033, 1010, 1524, 10192, 19700, 2055, 3773, 14630, 2006, 1996, 3256, 1012, 1523, 2002, 26105, 2425, 2033, 2002, 2038, 1996, 6309, 2000, 1996, 2103, 1012, 1524, 2044, 2809, 3692, 2007, 3731, 1010, 1996, 2280, 7987, 20023, 7777, 2000, 3046, 1998, 2562, 1996, 27252, 3128, 1999, 2010, 2173, 1012, 1523, 2038, 2002, 2699, 2000, 8954, 2068, 2664, 1029, 1524, 14630, 4191, 1010, 2043, 2409, 1997, 10192, 1521, 7615, 1012, 1523, 2453, 2031, 2000, 4066, 2008, 2041, 2041, 2045, 1031, 2006, 1996, 3256, 1033, 1012, 1524, 1523, 10192, 2003, 1037, 2204, 3124, 1012, 1045, 3335, 2032, 1012, 2002, 1521, 1055, 1037, 2428, 2204, 3124, 1010, 1998, 2057, 2145, 2562, 1999, 3543, 1012, 1045, 4299, 2032, 2035, 1996, 3112, 1999, 1996, 2088, 1010, 1524, 14630, 2794, 1012, 1523, 2002, 1521, 1055, 7823, 2000, 2693, 2043, 2017, 1521, 2128, 5266, 1996, 5658, 1010, 2002, 2515, 1037, 2204, 3105, 1997, 2108, 2583, 2000, 2404, 22900, 2015, 1999, 2105, 2045, 1010, 4858, 2068, 1010, 8509, 2068, 1999, 1012, 1045, 2228, 2002, 27904, 2015, 2652, 1037, 7046, 2535, 2005, 2017, 4364, 1010, 1045, 2228, 2002, 27904, 2015, 3048, 2105, 1037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1001, 1001, 1001, 1001, 1001, 1001, 20828, 1998, 12546, 1997, 2023, 2817, 1011, 2023, 2003, 1996, 2034, 2312, 6721, 5084, 3979, 2881, 2000, 16157, 1996, 4254, 1997, 17492, 16031, 2006, 2695, 25918, 8082, 19029, 1998, 24780, 1012, 1011, 1996, 3979, 2003, 2881, 2004, 1037, 4800, 13013, 2890, 1010, 2248, 2817, 1010, 20226, 6327, 16406, 1012, 1011, 1996, 10502, 1997, 2740, 3171, 1998, 3949, 5138, 8010, 20794, 2003, 1037, 3997, 1997, 2023, 3979, 1012, 1011, 12546, 2421, 1996, 13720, 2000, 6397, 5022, 1998, 2695, 5162, 25344, 2729, 3131, 11500, 2000, 2177, 16169, 1010, 1998, 16840, 2000, 5022, 4793, 1609, 12521, 2086, 1006, 9280, 8161, 10439, 19341, 8553, 2000, 3920, 2336, 1007, 1012, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2062, 2084, 3998, 2454, 5022, 2031, 5970, 2169, 2095, 4969, 1010, 2007, 1996, 4602, 3930, 1999, 3522, 2086, 1999, 2659, 1011, 3318, 3741, 1012, 1031, 1030, 1054, 2487, 1033, 2695, 25918, 8082, 19029, 1010, 2128, 10649, 2075, 1998, 24780, 1006, 13433, 2078, 2615, 1007, 13531, 2039, 2000, 3770, 1003, 1997, 4895, 7913, 4383, 5022, 2044, 2236, 9617, 25344, 1010, 3801, 4487, 13102, 18981, 11589, 3258, 28239, 2062, 2084, 3767, 1010, 1998, 16605, 6022, 2000, 5776, 17964, 1010, 5366, 1997, 2729, 1998, 9280, 2166, 1011, 8701, 12763, 2107, 2004, 2004, 16781, 1998, 6357, 2139, 24158, 29320, 1012, 1031, 1030, 1054, 2475, 1033, 13433, 2078, 2615, 2003, 9174, 3378, 2007, 1037, 6420, 2094, 18949, 1997, 9634, 2044, 5115, 2154, 5970, 4102, 2007, 2053, 13433, 2078, 2615, 1010, 1998, 2038, 2042, 1996, 2877, 3426, 1997, 4895, 24759, 20147, 2094, 9634, 1999, 5022, 14996, 2572, 28507, 7062, 1043, 18279, 8586, 10091, 5970, 1012, 1031, 1030, 1054, 2581, 1033, 1999, 2336, 1010, 13433, 2078, 2615, 6115, 2005, 2423, 1003, 1997, 20247, 2206, 5115, 2154, 5970, 1012, 1031, 1030, 1054, 2683, 1033, 13433, 2078, 2615, 5260, 2000, 3445, 5366, 1997, 3949, 1998, 2902, 2729, 1010, 3445, 3091, 1997, 2994, 1999, 1996, 2695, 5162, 25344, 2729, 3131, 1006, 14397, 2226, 1007, 1998, 28961, 8190, 2005, 8323, 1010, 5022, 1998, 2037, 2945, 1012, 1031, 1030, 1054, 10790, 1033, 13433, 2078, 2615, 3464, 2028, 1997, 1996, 2087, 2691, 4436, 2005, 5776, 28237, 2007, 9617, 25344, 1010, 1031, 1030, 1054, 14526, 1033, 1998, 5022, 2024, 5627, 2000, 3477, 2039, 2000, 2149, 1032, 1002, 2531, 2000, 4468, 13433, 2078, 2615, 1012, 1031, 1030, 1054, 12521, 1033, 3365, 11594, 2006, 1996, 17678, 29598, 8528, 2483, 1998, 3949, 1997, 13433, 2078, 2615, 2031, 2042, 2405, 1012, 1996, 10465, 11594, 2405, 2011, 1996, 2554, 2005, 2572, 28507, 7062, 2019, 4355, 15689, 20569, 3073, 1996, 2087, 23949, 12654, 1997, 1996, 3350, 1012, 1031, 1030, 1054, 2509, 1033, 2750, 2037, 2898, 1998, 2146, 1011, 3061, 20877, 5313, 12540, 1010, 1998, 1037, 7177, 1997, 13433, 2078, 2615, 3906, 1010, 3350, 6083, 3532, 12646, 2007, 1996, 11594, 1010, 2926, 1999, 2659, 1011, 3318, 3741, 1012, 1031, 1030, 1054, 2575, 1033, 1999, 2028, 2817, 1997, 2058, 2603, 2199, 9617, 4355, 20086, 2015, 1010, 2069, 2382, 1003, 1997, 2152, 3891, 5022, 2363, 1996, 6749, 3424, 21382, 4588, 17678, 29598, 8528, 2483, 1012, 1031, 1030, 1054, 16932, 1033, 3568, 1010, 13433, 2078, 2615, 3464, 1037, 3278, 3291, 2008, 5942, 3949, 1012, 2043, 13433, 2078, 2615, 5158, 1010, 2007, 2030, 2302, 17678, 29598, 8528, 2483, 1010, 1996, 11594, 16755, 3949, 2007, 1037, 2846, 1997, 2034, 1011, 2240, 5850, 2107, 2004, 1019, 1011, 1044, 2102, 1066, 1017, 1066, 10769, 17379, 2015, 1006, 1041, 2290, 1010, 2006, 7847, 13462, 4948, 1007, 1998, 2021, 12541, 7361, 10222, 21821, 1006, 1041, 2290, 1010, 4530, 11124, 3527, 2140, 1007, 1012, 2122, 5850, 2031, 2217, 3896, 1010, 2005, 2742, 15330, 1053, 2102, 13483, 1010, 14978, 1010, 8319, 11290, 16285, 1998, 9530, 16643, 24952, 2239, 1012, 1031, 1030, 1054, 2509, 1033, 5678, 1010, 1996, 5257, 1997, 2312, 3616, 1997, 5022, 5845, 1998, 3949, 15428, 2064, 2022, 17047, 1010, 3391, 1999, 2659, 1011, 3318, 3741, 1999, 2029, 11707, 6702, 2024, 5901, 4803, 1006, 10630, 1003, 3623, 1999, 5970, 3446, 2090, 2432, 1998, 2262, 2005, 3032, 2007, 2566, 8353, 2740, 20700, 1032, 1026, 2149, 1032, 1002, 4278, 2566, 28907, 1031, 1030, 1054, 2487, 1033, 1007, 1012, 1996, 3465, 1997, 3424, 21382, 4588, 5850, 2089, 2022, 20506, 15004, 3020, 1999, 2122, 4655, 1010, 2005, 2742, 1010, 2096, 2006, 7847, 13462, 4948, 5366, 2149, 1032, 1002, 1014, 1012, 2321, 1999, 2660, 1010, 2009, 5366, 2149, 1032, 1002, 1015, 1012, 2340, 1999, 1996, 10411, 1010, 2055, 1016, 1003, 1997, 1996, 2561, 3296, 2566, 8353, 2740, 5247, 1999, 2008, 3842, 1012, 1031, 1030, 1054, 16068, 1033, 2000, 7163, 28732, 2119, 7386, 1998, 3465, 1010, 2045, 2003, 8361, 3037, 1999, 4319, 1011, 2489, 4522, 13441, 2005, 13433, 2078, 2615, 1012, 9353, 6279, 4609, 14890, 2012, 1996, 1052, 2575, 2391, 2006, 1996, 5110, 16148, 1031, 1030, 1054, 16048, 1033, 1998, 14580, 1031, 1030, 1054, 16576, 1033, 2031, 4928, 1041, 26989, 3540, 18436, 1999, 10723, 13433, 2078, 2615, 4102, 2007, 2173, 5092, 1010, 1998, 9353, 19966, 5714, 9513, 2038, 2042, 2988, 2004, 5662, 2000, 2006, 7847, 13462, 4948, 2005, 3949, 1012, 1031, 1030, 1054, 15136, 1033, 2122, 16913, 11475, 7368, 2031, 2025, 2464, 6923, 2039, 15166, 1010, 2174, 1010, 2349, 2000, 9349, 2937, 16261, 3012, 1010, 1998, 2731, 1998, 3941, 5918, 1012, 1037, 3722, 4319, 1011, 1998, 3941, 1011, 2489, 3949, 1011, 1011, 1011, 17492, 16031, 1011, 1011, 1011, 2038, 2042, 2179, 2000, 2022, 1041, 26989, 3540, 18436, 2005, 1996, 3141, 3291, 1997, 2695, 25918, 8082, 11498, 2135, 4588, 17869, 2271, 2206, 3806, 13181, 18447, 19126, 5970, 1012, 10744, 2098, 10595, 1997, 2049, 3466, 2421, 1005, 25850, 8521, 1005, 1010, 2007, 3445, 3806, 13181, 18447, 19126, 4023, 19872, 3081, 8292, 21890, 10415, 1011, 12436, 9692, 20858, 2013, 17492, 1012, 1037, 2325, 18804, 1011, 4106, 2164, 3938, 2581, 2475, 5022, 2408, 6282, 6721, 5084, 4758, 7012, 7645, 3350, 2005, 4359, 2695, 25918, 8082, 17869, 2271, 1998, 3041, 2902, 11889, 1012, 1031, 1030, 1054, 16147, 1033, 2057, 10744, 2063, 2008, 10595, 2104, 8091, 5582, 1996, 21150, 1997, 17492, 16031, 1999, 1996, 5813, 1997, 2695, 25918, 8082, 17869, 2271, 2089, 2031, 1037, 2535, 1999, 1996, 3949, 1997, 13433, 2078, 2615, 1012, 24010, 1063, 1001, 1055, 2487, 2050, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2057, 14155, 1996, 24010, 1997, 17492, 16031, 1999, 2019, 3988, 17464, 2522, 27794, 2817, 1010, 2029, 8302, 4601, 2931, 5022, 2383, 1043, 18279, 8586, 10091, 5001, 10464, 9363, 7685, 1010, 2007, 1037, 3991, 2287, 1997, 2861, 1006, 2846, 2324, 1011, 1011, 4720, 1007, 2086, 1012, 1031, 1030, 1054, 11387, 1033, 4228, 1011, 2028, 5022, 1006, 6146, 1003, 1007, 2584, 2019, 9718, 1005, 1055, 7667, 1997, 9499, 2791, 1998, 7367, 20207, 1006, 1051, 11057, 1013, 1055, 1007, 3556, 1997, 1019, 1010, 1031, 1030, 1054, 17465, 1033, 1998, 5147, 2949, 1037, 2558, 1997, 16031, 17492, 1999, 1996, 14397, 2226, 1006, 3991, 9367, 2321, 8117, 1010, 2846, 1017, 1011, 1011, 2871, 8117, 1007, 1012, 2045, 2020, 2053, 4453, 3808, 5936, 2007, 2069, 2028, 3538, 1997, 16031, 15734, 7351, 1998, 3904, 15938, 1010, 1998, 17492, 16031, 2001, 2179, 2000, 2022, 11701, 2000, 5022, 1998, 14397, 2226, 11500, 11455, 1012, 2256, 4745, 6721, 5084, 4758, 4405, 2817, 1031, 1030, 1054, 19317, 1033, 8302, 6365, 2931, 5022, 14996, 7388, 2030, 5001, 10464, 24895, 5970, 2040, 2363, 26721, 25918, 8082, 3424, 21382, 4588, 17678, 29598, 8528, 2483, 1010, 1998, 6721, 5084, 2068, 2000, 26721, 8159, 3560, 2006, 7847, 13462, 4948, 1018, 11460, 2030, 17492, 16031, 2065, 19029, 1010, 2128, 10649, 2075, 1998, 1013, 2030, 24780, 2001, 5281, 1999, 1996, 14397, 2226, 1012, 24010, 2001, 7645, 1010, 2004, 15680, 2001, 23045, 1010, 1996, 8778, 2001, 11701, 2000, 9617, 4355, 27065, 5130, 1998, 11500, 1010, 1998, 2951, 3074, 2001, 3143, 1012, 3174, 1011, 2809, 1997, 1996, 6365, 5022, 1006, 2382, 1003, 1007, 2764, 19029, 1010, 2128, 10649, 2075, 1998, 1013, 2030, 24780, 1999, 1996, 14397, 2226, 1006, 2410, 6721, 5084, 2000, 2006, 7847, 13462, 4948, 1025, 2321, 6721, 5084, 2000, 17492, 16031, 1010, 1997, 3183, 2048, 2020, 13990, 2135, 8300, 1998, 2028, 4188, 2000, 21271, 16031, 1007, 1012, 2478, 1037, 10744, 2098, 4489, 2005, 27841, 1997, 2321, 1003, 1010, 2006, 1037, 2566, 1011, 8778, 3978, 1006, 6871, 16134, 2005, 5604, 1037, 2512, 1011, 14092, 3012, 10744, 1031, 1030, 1054, 21926, 1033, 1007, 1010, 3143, 3433, 1997, 1996, 2034, 2792, 1997, 19029, 1010, 2128, 10649, 2075, 1998, 1013, 2030, 24780, 2302, 9095, 2005, 5343, 14667, 4158, 1999, 1023, 1997, 2260, 1006, 4293, 1003, 1007, 1997, 17492, 16031, 5022, 6431, 1019, 1997, 2410, 1006, 4229, 1012, 1019, 1003, 1007, 1997, 2006, 7847, 13462, 4948, 1006, 3891, 4489, 4261, 1003, 1010, 3938, 1003, 25022, 1020, 1003, 2000, 6163, 1003, 1010, 1052, 1027, 1014, 1012, 5718, 1007, 1012, 1996, 6808, 1011, 2000, 1011, 7438, 9556, 2020, 8335, 2007, 1996, 2566, 1011, 8778, 3463, 1012, 2057, 6614, 2000, 10580, 1996, 2512, 1011, 14092, 3012, 1997, 2023, 3722, 1998, 23766, 3949, 4102, 2007, 2006, 7847, 13462, 4948, 2005, 1996, 2691, 1998, 12893, 2075, 3291, 1997, 13433, 2078, 2615, 1999, 1037, 4800, 13013, 2890, 1010, 6721, 5084, 4758, 3979, 1012, 2023, 2817, 2038, 1996, 4022, 2000, 8970, 1037, 3117, 4319, 1011, 2489, 3949, 2005, 1037, 2691, 4012, 21557, 1997, 9617, 25344, 1998, 5970, 1010, 2302, 1996, 2217, 3896, 1998, 3465, 3378, 2007, 7511, 4319, 3949, 1012, 2004, 2107, 1010, 2009, 2038, 4022, 2000, 6022, 5335, 2740, 13105, 1998, 3828, 2769, 2005, 8817, 1997, 5022, 1998, 2740, 2578, 1999, 2152, 1011, 3318, 1010, 2690, 1011, 3318, 1998, 2659, 1011, 3318, 3741, 4969, 1012, 2817, 1044, 22571, 14573, 23072, 1063, 1001, 1055, 2487, 2497, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2256, 3078, 10744, 2003, 2008, 17492, 16031, 2003, 2512, 1011, 14092, 2000, 2006, 7847, 13462, 4948, 1999, 10910, 3143, 8292, 11488, 3508, 1997, 19029, 1010, 2128, 10649, 2075, 1998, 24780, 2306, 1016, 2847, 1997, 3447, 1010, 2007, 2053, 28667, 3126, 24413, 2090, 8292, 11488, 3508, 1998, 1016, 2847, 2044, 3447, 1010, 1998, 2053, 5343, 14667, 2090, 3447, 1998, 1016, 2847, 2044, 3447, 1006, 29464, 1010, 3143, 3433, 1007, 1010, 1999, 2931, 5022, 4793, 1609, 12521, 2086, 2007, 19029, 1010, 2128, 10649, 2075, 1998, 1013, 2030, 24780, 1999, 1996, 14397, 2226, 2044, 20606, 9617, 4355, 20086, 1011, 2241, 2236, 9617, 25344, 2005, 7388, 2030, 5001, 10464, 24895, 5970, 1012, 2256, 3905, 1044, 22571, 14573, 23072, 2024, 2008, 17492, 16031, 2003, 6020, 2000, 2006, 7847, 13462, 4948, 2007, 4847, 2000, 1024, 1006, 1015, 1007, 3143, 3433, 1006, 2004, 4225, 2682, 1007, 1010, 2065, 17492, 16031, 2003, 2179, 2000, 2022, 2512, 1011, 14092, 1025, 1006, 1016, 1007, 5138, 8010, 1997, 6721, 5084, 3949, 2000, 5022, 1998, 14397, 2226, 11500, 1025, 1006, 1017, 1007, 2051, 2000, 3143, 3433, 1999, 1996, 1016, 2847, 2044, 6721, 5084, 3949, 1025, 1006, 1018, 1007, 3616, 1997, 4178, 1997, 19029, 1010, 2128, 10649, 2075, 1998, 1013, 2030, 24780, 1999, 1996, 1016, 2847, 2044, 6721, 5084, 3949, 1025, 1006, 1019, 1007, 3616, 1997, 5343, 13441, 2005, 19029, 1010, 2128, 10649, 2075, 1998, 1013, 2030, 24780, 1999, 1996, 1016, 2847, 2044, 6721, 5084, 3949, 1025, 1006, 1020, 1007, 9367, 1997, 14397, 2226, 2994, 1025, 1006, 1021, 1007, 3737, 1997, 7233, 1025, 1006, 1022, 1007, 8360, 2740, 1998, 2092, 1011, 2108, 1025, 1006, 1023, 1007, 9367, 1997, 2902, 2994, 2013, 14397, 2226, 9634, 1025, 1006, 2184, 1007, 5366, 1997, 6721, 5084, 20992, 1010, 5343, 20992, 1998, 2902, 2994, 1998, 1006, 2340, 1007, 19732, 1011, 2000, 1011, 3477, 2000, 6162, 1996, 3078, 9560, 1012, 4725, 1998, 4106, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2817, 2640, 1998, 4292, 1063, 1001, 1055, 2475, 2050, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 21271, 2100, 3979, 2003, 1037, 4800, 13013, 2890, 1010, 6721, 5084, 1010, 2248, 1010, 5903, 1011, 2177, 1010, 2512, 1011, 14092, 3012, 3979, 1010, 2007, 5022, 6721, 5084, 8053, 2000, 2593, 17492, 16031, 2030, 2006, 7847, 13462, 4948, 1012, 5022, 2097, 2022, 8733, 2013, 3155, 2322, 4639, 1998, 6643, 2098, 2401, 12412, 8323, 2408, 2660, 1010, 2047, 3414, 1998, 4291, 4290, 6989, 2007, 1996, 2827, 1998, 2047, 3414, 2267, 1997, 9617, 4355, 27065, 5130, 6612, 7012, 2897, 1012, 1037, 3796, 2566, 26746, 2094, 6721, 6648, 2862, 2358, 8609, 7810, 2011, 2609, 2097, 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, 1999, 8124, 1521, 1055, 7082, 7740, 2212, 1010, 7672, 14559, 3766, 2003, 2667, 2000, 8054, 7206, 2008, 6754, 27699, 2078, 13028, 2063, 1517, 1998, 1996, 8398, 2937, 5300, 2002, 5836, 1517, 2003, 2025, 2040, 2027, 2024, 1012, 2006, 13323, 1012, 2324, 1010, 2250, 2486, 2028, 5028, 2091, 1999, 1996, 2267, 2237, 1997, 3335, 7140, 2721, 1010, 8124, 1012, 2009, 2001, 1996, 2343, 1521, 1055, 2353, 4440, 2000, 8124, 1517, 1037, 2110, 1997, 2074, 2058, 1037, 2454, 2111, 1517, 2144, 2251, 1012, 2005, 2169, 1997, 2122, 9109, 1010, 8398, 2985, 1996, 3484, 1997, 2010, 8124, 1011, 4208, 2051, 7866, 3537, 12411, 1012, 6285, 3231, 2121, 1010, 20490, 2069, 4780, 2000, 8970, 3231, 2121, 1521, 1055, 7116, 1010, 4717, 21701, 5634, 1010, 1998, 13399, 1996, 2060, 3951, 2770, 2005, 2120, 2436, 1024, 16360, 1012, 6754, 27699, 2078, 13028, 2063, 1012, 1523, 2151, 3124, 2008, 2064, 2079, 1037, 2303, 9555, 1010, 1524, 8398, 2056, 1010, 2000, 9686, 25015, 3436, 21250, 1010, 1523, 2002, 1521, 1055, 2026, 3124, 1012, 1524, 8398, 2001, 7727, 2000, 2028, 1997, 1996, 2062, 16524, 5312, 1999, 3522, 2576, 2381, 1010, 2043, 27699, 2078, 13028, 2063, 1517, 2059, 2770, 1999, 1037, 2569, 2602, 2005, 8124, 1521, 1055, 7082, 7740, 2835, 1517, 8186, 17536, 6697, 6398, 3841, 12988, 2006, 1996, 2305, 2077, 2602, 2154, 1012, 12988, 1010, 2040, 2018, 2042, 7161, 2000, 3198, 1996, 18172, 2811, 1011, 13642, 22573, 27699, 2078, 13028, 2063, 1037, 3160, 2055, 2010, 2490, 2005, 1996, 2175, 2361, 2740, 2729, 3021, 1010, 2288, 5746, 1997, 1996, 5043, 1012, 2664, 27699, 2078, 13028, 2063, 1521, 1055, 3049, 3843, 1037, 4861, 24114, 1996, 2886, 2006, 1523, 9376, 5248, 2013, 1037, 4314, 4988, 1012, 1524, 2625, 2084, 2484, 2847, 2101, 1010, 27699, 2078, 13028, 2063, 2001, 4161, 1996, 3453, 1997, 1996, 7740, 2679, 1012, 2093, 3134, 2044, 2008, 1010, 2002, 12254, 5905, 2000, 6101, 1012, 2002, 17806, 1998, 2211, 16913, 10924, 2010, 4309, 2007, 8845, 1012, 2021, 1037, 2095, 1998, 1037, 2431, 2101, 1010, 2045, 2002, 2001, 2007, 8398, 1010, 2004, 1996, 2343, 6966, 8124, 7206, 2040, 27699, 2078, 13028, 2063, 2001, 1024, 1996, 2828, 1997, 3124, 2040, 2052, 2738, 7324, 1037, 4988, 2091, 2084, 3437, 1037, 3160, 2055, 2010, 2219, 4132, 1012, 2520, 6063, 1013, 2131, 3723, 4871, 8124, 3951, 16360, 1012, 6754, 27699, 2078, 13028, 2063, 2012, 1037, 28536, 2012, 1996, 4368, 4825, 1999, 14109, 1010, 8124, 1010, 2006, 2258, 2603, 1012, 2004, 1996, 3103, 2275, 2006, 8398, 1999, 3335, 7140, 2721, 1010, 14559, 3766, 1517, 27699, 2078, 13028, 2063, 1521, 1055, 2047, 3537, 7116, 1517, 2001, 2698, 2847, 2408, 1996, 2110, 1010, 4092, 2012, 2019, 2724, 1999, 2661, 2103, 1012, 2014, 3049, 2018, 2074, 2207, 1037, 2047, 4748, 1010, 2058, 24393, 2007, 5746, 2013, 1996, 6101, 1024, 1523, 6754, 27699, 2078, 13028, 2063, 1012, 6101, 1998, 3658, 1010, 1524, 1037, 2376, 2046, 5267, 1012, 1523, 2023, 2003, 2025, 2040, 2057, 2024, 1012, 1524, 2021, 2004, 1996, 21250, 2012, 8398, 1521, 1055, 8320, 2081, 3154, 1010, 2005, 2116, 8124, 3619, 1010, 1037, 3124, 2040, 22664, 1037, 4988, 2003, 2037, 3124, 1012, 2008, 3124, 2089, 2022, 1996, 1523, 6210, 1997, 1037, 25077, 4018, 1010, 1524, 2004, 2028, 2175, 2361, 12160, 2404, 2009, 1010, 1998, 1523, 8124, 1521, 1055, 2544, 1997, 6945, 8096, 1024, 6343, 7777, 2032, 1010, 1524, 2004, 2028, 6319, 2056, 2000, 2033, 1012, 2021, 2002, 1521, 1055, 2145, 1996, 3951, 4018, 1999, 1037, 2110, 2008, 5444, 24783, 2005, 8398, 1012, 2061, 2129, 2079, 2017, 3049, 2114, 2032, 1029, 3766, 6732, 2016, 1521, 1055, 2179, 1996, 2126, 1010, 1998, 2009, 1521, 1055, 2214, 1011, 13405, 1012, 2016, 1521, 1055, 2025, 5059, 5294, 12783, 2030, 2769, 2066, 6655, 2080, 1051, 1521, 24400, 1010, 2030, 8287, 13434, 14997, 2066, 1049, 3501, 2002, 6843, 1012, 2016, 2987, 1521, 1056, 2031, 1996, 2785, 1997, 25869, 2964, 2050, 2008, 1521, 1055, 2328, 2005, 1996, 4274, 1010, 1998, 1010, 2004, 8124, 2110, 2118, 2576, 2671, 2934, 2585, 6262, 7607, 1010, 1523, 2016, 2987, 1521, 1056, 3149, 4963, 1012, 1524, 2612, 1010, 2016, 1521, 1055, 4217, 2000, 2175, 2237, 2000, 2237, 1010, 14303, 2000, 14303, 1517, 2311, 3563, 3488, 2000, 4769, 1996, 3314, 2008, 8124, 3619, 2024, 2941, 5191, 2055, 1006, 2740, 2729, 1010, 2591, 3036, 1010, 4910, 3036, 1007, 2738, 2084, 1996, 3924, 2027, 1521, 2128, 2409, 2027, 2323, 4737, 2055, 2076, 2602, 12709, 1006, 4409, 1010, 7486, 1007, 1012, 2016, 2036, 16142, 1996, 3894, 8124, 5675, 2005, 1037, 7672, 2000, 2663, 13486, 1024, 16004, 2000, 1996, 1523, 2918, 4606, 4606, 1010, 1524, 2030, 1523, 6555, 2015, 1009, 23756, 1009, 8777, 10643, 1012, 1524, 2016, 7566, 2055, 12014, 2066, 2009, 1521, 1055, 2035, 2016, 1521, 1055, 2412, 2124, 1012, 2016, 1521, 1055, 3621, 9596, 1999, 1037, 2126, 2008, 5683, 14469, 1010, 2096, 2036, 4654, 24539, 1037, 4066, 1997, 7490, 22219, 1012, 2256, 2783, 2576, 4044, 2003, 4225, 2011, 5968, 14083, 1998, 23760, 26053, 9650, 1998, 17859, 9023, 2000, 2111, 1521, 1055, 8069, 1998, 10069, 1517, 1037, 5656, 2008, 27699, 2078, 13028, 2063, 8440, 1521, 1056, 9352, 14218, 2061, 2172, 2004, 3039, 2370, 2000, 2022, 7351, 2011, 1012, 1998, 2096, 27699, 2078, 13028, 2063, 2987, 1521, 1056, 3713, 2030, 1056, 28394, 2102, 2066, 8398, 1010, 2002, 1521, 1055, 2036, 6176, 2025, 2000, 7939, 23709, 3401, 1996, 2343, 1012, 2011, 5688, 1010, 3766, 1521, 3049, 5683, 2041, 1997, 1037, 2367, 2051, 1010, 1998, 2009, 1521, 1055, 2025, 2074, 1996, 12455, 2100, 14997, 1998, 1996, 3409, 2121, 9117, 1012, 2016, 1521, 1055, 16004, 2000, 2019, 2801, 1997, 8124, 2004, 1037, 2173, 2073, 2111, 3789, 2005, 1996, 2711, 1010, 2025, 1996, 2283, 1025, 2073, 5792, 3475, 1521, 1056, 2074, 1996, 2190, 2126, 2000, 2131, 2477, 2589, 1010, 2021, 1996, 2069, 2126, 1025, 2073, 2111, 2360, 1523, 2057, 5993, 2006, 2062, 2084, 2057, 21090, 1524, 1998, 2812, 2009, 1012, 3766, 2003, 16004, 2000, 8124, 3619, 1521, 4563, 3168, 1997, 3209, 1024, 2024, 2057, 6015, 1998, 4854, 1010, 2014, 3049, 5176, 1010, 2030, 2024, 2057, 2785, 1998, 9530, 6895, 6632, 7062, 1029, 2024, 2057, 15945, 5649, 2030, 10502, 5649, 1029, 2024, 2057, 14254, 2030, 2981, 1029, 2129, 4621, 2008, 4471, 2003, 3464, 2000, 2022, 2464, 2023, 2602, 2154, 1010, 2021, 1996, 3291, 2007, 2049, 5574, 2003, 2025, 3132, 2000, 8124, 1012, 2138, 1010, 1997, 2607, 1010, 2045, 1521, 1055, 1996, 2126, 2057, 2360, 2057, 2024, 1010, 1998, 1996, 2126, 2057, 2228, 2057, 2024, 1517, 1998, 2059, 2045, 1521, 1055, 1996, 2126, 2057, 2941, 3789, 1012, 13573, 23648, 3995, 10343, 4801, 2005, 12610, 7959, 2098, 2739, 14559, 3766, 8847, 2012, 1996, 29231, 2221, 21475, 14744, 2006, 17419, 1012, 2403, 1012, 8124, 2576, 5347, 2202, 2009, 2004, 3492, 2172, 2445, 2008, 3522, 22291, 2015, 2000, 1996, 2110, 2097, 3789, 2247, 2283, 3210, 1517, 3923, 13350, 2005, 8037, 1998, 3541, 11992, 2005, 10643, 1012, 2061, 2027, 5247, 1996, 9625, 1997, 2037, 2051, 5933, 2019, 26475, 8843, 1010, 2021, 2028, 2008, 2145, 6526, 1999, 8124, 1024, 1037, 22634, 2566, 6342, 8447, 3468, 2177, 1997, 7206, 2008, 2109, 2000, 2022, 2170, 1523, 11127, 2346, 8037, 1524, 1517, 2627, 1998, 2556, 3224, 2545, 1010, 11257, 1010, 1998, 2586, 3667, 1010, 2116, 1997, 3183, 2031, 2973, 2182, 2005, 8213, 1998, 2424, 3209, 11542, 2000, 6709, 2007, 2593, 3824, 2283, 1012, 10643, 3046, 2000, 8054, 1996, 1017, 1516, 1021, 1003, 2040, 2453, 3789, 2005, 1996, 19297, 4018, 2008, 2027, 1521, 2128, 19297, 2438, 1025, 8037, 5574, 2000, 7206, 2040, 2903, 2027, 3789, 2005, 1996, 2711, 1010, 2025, 1996, 2283, 1012, 10643, 4872, 2025, 2000, 5333, 7773, 1025, 8037, 4872, 2000, 4047, 1996, 2578, 1006, 19960, 5555, 3593, 1010, 2591, 3036, 1007, 2216, 7773, 5370, 2039, 1012, 1998, 3071, 7566, 2055, 2270, 4915, 1010, 1998, 3229, 2000, 2068, 1517, 2009, 1521, 1055, 1996, 2028, 2518, 2471, 2035, 8124, 3619, 2064, 5993, 5609, 1010, 2130, 2065, 2027, 2064, 1521, 1056, 2467, 5993, 2006, 2054, 1523, 3860, 1524, 3504, 2066, 1012, 2017, 2071, 2655, 2122, 7206, 1523, 23756, 1010, 1524, 2030, 2892, 1011, 7281, 7206, 1010, 2030, 2074, 2054, 3084, 8124, 2061, 10862, 21446, 1998, 10317, 5875, 1012, 1998, 2027, 1521, 2128, 3599, 2040, 3766, 2003, 19244, 2016, 2064, 13984, 1010, 2028, 1011, 2006, 1011, 2028, 1010, 2711, 1011, 2000, 1011, 2711, 1010, 1999, 1996, 2599, 1011, 2039, 2000, 2023, 2602, 1517, 1999, 2112, 2011, 4346, 2068, 2007, 2019, 4495, 2000, 2360, 2008, 27699, 2078, 13028, 2063, 2003, 2025, 2040, 2027, 2024, 1012, 13573, 23648, 3995, 10343, 4801, 2005, 12610, 7959, 2098, 2739, 1996, 29231, 2221, 21475, 14744, 1010, 17419, 1012, 2403, 1012, 2006, 1037, 9432, 2851, 1999, 2220, 2244, 1010, 3766, 2018, 4567, 1037, 4306, 2008, 8966, 1996, 8102, 1997, 1996, 3075, 1999, 14109, 1010, 8124, 1010, 2313, 1021, 1010, 4720, 2683, 1012, 2016, 2001, 2045, 2004, 2112, 1997, 1037, 2186, 1997, 2270, 21415, 1517, 2006, 2270, 4915, 1010, 2591, 3036, 1010, 2740, 2729, 1517, 2008, 2716, 2362, 4986, 4480, 1998, 8519, 2013, 1996, 2451, 1012, 2651, 1521, 1055, 4512, 2052, 3579, 2006, 27615, 1012, 1523, 2023, 2003, 2025, 1037, 3049, 8320, 1010, 1524, 3766, 2409, 1996, 4306, 1012, 1523, 2023, 2003, 2019, 4495, 2005, 6594, 1997, 3314, 1012, 1524, 27699, 2078, 13028, 2063, 2018, 2042, 4778, 1010, 2074, 2004, 2002, 2018, 2042, 4778, 2000, 3025, 21415, 1012, 2010, 6438, 2001, 2112, 1997, 1996, 2391, 1024, 2048, 3134, 2077, 1010, 27699, 2078, 13028, 2063, 2018, 1999, 27942, 15070, 2270, 4915, 13010, 2011, 3173, 1037, 1523, 2270, 3116, 1524, 1006, 1999, 2023, 2553, 1010, 2055, 1996, 6580, 1997, 2756, 9917, 2817, 2752, 1007, 2008, 2001, 2623, 2074, 2093, 2420, 3805, 1997, 2051, 1998, 2443, 2053, 2051, 2005, 2270, 7953, 2030, 7615, 1012, 2009, 2001, 1037, 5171, 2693, 2005, 27699, 2078, 13028, 2063, 1010, 2040, 6524, 3957, 5083, 2270, 5060, 1997, 2010, 3922, 1010, 4321, 14879, 2068, 2000, 2175, 2361, 1011, 5379, 2824, 1025, 2043, 2002, 4324, 1523, 2237, 9873, 1010, 1524, 2027, 1521, 2128, 7484, 1006, 3784, 2069, 1007, 1998, 2035, 3980, 2024, 12238, 2011, 3095, 2545, 3805, 1997, 2051, 1012, 2019, 15240, 1997, 27118, 9468, 7971, 13464, 2038, 5935, 2105, 2032, 1010, 5533, 2188, 1999, 1037, 3522, 3766, 4748, 1999, 2029, 2536, 8124, 3619, 6235, 2037, 7736, 4740, 2000, 4339, 1010, 2831, 1010, 2030, 8526, 2007, 27699, 2078, 13028, 2063, 1012, 1006, 27699, 2078, 13028, 2063, 1005, 1055, 3049, 2106, 2025, 6869, 2000, 1037, 5227, 2000, 7615, 2005, 2023, 2466, 1012, 1007, 1523, 27699, 2078, 13028, 2063, 1521, 1055, 2019, 5866, 4018, 1010, 1999, 2008, 1996, 2062, 2111, 2002, 6010, 1010, 1996, 2625, 3382, 2002, 2038, 1997, 3045, 1996, 2602, 1010, 1524, 4717, 21749, 1010, 1037, 8003, 3537, 2576, 8930, 2241, 1999, 8945, 4371, 2386, 1010, 2409, 2033, 1012, 1523, 2002, 1521, 1055, 2107, 1037, 5210, 17884, 1010, 4895, 25421, 3468, 22052, 1010, 2017, 2031, 2000, 2562, 2032, 6462, 2098, 2039, 1998, 14451, 2032, 2000, 2004, 2261, 7206, 2004, 2825, 1012, 1524, 1999, 1996, 2058, 12314, 2075, 14109, 3075, 8102, 1010, 3766, 2001, 4654, 24539, 1037, 2200, 2367, 4066, 1997, 15240, 1024, 2330, 2000, 2941, 2383, 11450, 2007, 24355, 1010, 1998, 9461, 2000, 2131, 2046, 1996, 9152, 15353, 1011, 24842, 3723, 1997, 2740, 2729, 3471, 1998, 7300, 1012, 3766, 1010, 2287, 5401, 1010, 2001, 2028, 1997, 1996, 6587, 2111, 1999, 1996, 2282, 1517, 2021, 2016, 2038, 2042, 18875, 1996, 2740, 2729, 2291, 2144, 2016, 2001, 2340, 1010, 2043, 2014, 2388, 2001, 11441, 2007, 2220, 1011, 14447, 21901, 1521, 1055, 1012, 2005, 1996, 2279, 2809, 2086, 1010, 3766, 1998, 2014, 2269, 2366, 2004, 2014, 2388, 1521, 1055, 3078, 2729, 5856, 14028, 1012, 2144, 2016, 2034, 2253, 2039, 2114, 2274, 2060, 8124, 8037, 1058, 14147, 2005, 1996, 3382, 2000, 4895, 17310, 2102, 27699, 2078, 13028, 2063, 1010, 2008, 5593, 3325, 1517, 2247, 2007, 2014, 2093, 3408, 1999, 1996, 8124, 2160, 1997, 4505, 1010, 1998, 2476, 1999, 2300, 5680, 1517, 2038, 2042, 1037, 2415, 11198, 1997, 3766, 1521, 3049, 1012, 2012, 2053, 2391, 2076, 1996, 3078, 2001, 3766, 12599, 1996, 2392, 23195, 1024, 2016, 2347, 1521, 1056, 1996, 2034, 2041, 1997, 1996, 4796, 1012, 2016, 2347, 1521, 1056, 1996, 2087, 6555, 1010, 2030, 1996, 2087, 18114, 1012, 2016, 2134, 1521, 1056, 5333, 1996, 2087, 2769, 1010, 2025, 2130, 2485, 1012, 1998, 2016, 3475, 1521, 1056, 1037, 2158, 1012, 2027, 1005, 1040, 2360, 1010, 1523, 1520, 2064, 1037, 2450, 2663, 1999, 8124, 1029, 1521, 1998, 1045, 1521, 1040, 7514, 1010, 1520, 3109, 1010, 2025, 2065, 2111, 2562, 4851, 2033, 2008, 999, 1998, 2025, 2065, 2017, 2562, 3241, 2066, 2008, 999, 1521, 1524, 1999, 3537, 27419, 2023, 2095, 1010, 2308, 2408, 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, 1001, 1001, 8285, 6914, 16848, 2011, 16215, 16338, 21624, 1006, 1014, 1012, 1023, 1012, 1017, 1007, 1001, 1001, 2079, 2025, 10086, 4983, 2017, 2024, 2469, 2008, 2017, 2113, 2054, 2017, 2024, 2725, 1001, 5478, 1005, 16215, 16338, 1005, 5478, 1005, 5199, 1035, 4127, 1005, 11336, 2009, 5714, 2465, 7396, 2421, 1024, 1024, 16215, 16338, 1024, 1024, 7396, 13366, 5199, 21422, 1006, 11498, 2213, 1007, 4604, 1035, 5199, 21422, 1006, 11498, 2213, 1007, 2203, 13366, 4604, 1035, 5199, 21422, 1006, 11498, 2213, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 21422, 1005, 1010, 5199, 21422, 1035, 12098, 5620, 1010, 1024, 11498, 2213, 1027, 1028, 11498, 2213, 1007, 2203, 13366, 5199, 14117, 4779, 4877, 1006, 1007, 4604, 1035, 5199, 14117, 4779, 4877, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 14117, 4779, 4877, 1006, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 14117, 4779, 4877, 1005, 1010, 5199, 14117, 4779, 4877, 1035, 12098, 5620, 1007, 2203, 13366, 5199, 21197, 2378, 1006, 14841, 2094, 1010, 1052, 21724, 1007, 4604, 1035, 5199, 21197, 2378, 1006, 14841, 2094, 1010, 1052, 21724, 1007, 2203, 13366, 4604, 1035, 5199, 21197, 2378, 1006, 14841, 2094, 1010, 1052, 21724, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 21197, 2378, 1005, 1010, 5199, 21197, 2378, 1035, 12098, 5620, 1010, 1024, 14841, 2094, 1027, 1028, 14841, 2094, 1010, 1024, 1052, 21724, 1027, 1028, 1052, 21724, 1007, 2203, 13366, 5199, 8684, 1006, 11113, 1007, 4604, 1035, 5199, 8684, 1006, 11113, 1007, 2203, 13366, 4604, 1035, 5199, 8684, 1006, 11113, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 8684, 1005, 1010, 5199, 8684, 1035, 12098, 5620, 1010, 1024, 11113, 1027, 1028, 11113, 1007, 2203, 13366, 5199, 28994, 10127, 1006, 1052, 4783, 2319, 1007, 4604, 1035, 5199, 28994, 10127, 1006, 1052, 4783, 2319, 1007, 2203, 13366, 4604, 1035, 5199, 28994, 10127, 1006, 1052, 4783, 2319, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 28994, 10127, 1005, 1010, 5199, 28994, 10127, 1035, 12098, 5620, 1010, 1024, 1052, 4783, 2319, 1027, 1028, 1052, 4783, 2319, 1007, 2203, 13366, 5199, 7834, 3736, 3351, 1006, 20301, 2319, 1007, 4604, 1035, 5199, 7834, 3736, 3351, 1006, 20301, 2319, 1007, 2203, 13366, 4604, 1035, 5199, 7834, 3736, 3351, 1006, 20301, 2319, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 7834, 3736, 3351, 1005, 1010, 5199, 7834, 3736, 3351, 1035, 12098, 5620, 1010, 1024, 20301, 2319, 1027, 1028, 20301, 2319, 1007, 2203, 13366, 5199, 4691, 1006, 11689, 3593, 1007, 4604, 1035, 5199, 4691, 1006, 11689, 3593, 1007, 2203, 13366, 4604, 1035, 5199, 4691, 1006, 11689, 3593, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 4691, 1005, 1010, 5199, 4691, 1035, 12098, 5620, 1010, 1024, 11689, 3593, 1027, 1028, 11689, 3593, 1007, 2203, 13366, 25309, 29165, 1006, 1041, 1007, 4604, 1035, 25309, 29165, 1006, 1041, 1007, 2203, 13366, 4604, 1035, 25309, 29165, 1006, 1041, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 25309, 29165, 1005, 1010, 25309, 29165, 1035, 12098, 5620, 1010, 1024, 1041, 1027, 1028, 1041, 1007, 2203, 13366, 5199, 21197, 5833, 1006, 1007, 4604, 1035, 5199, 21197, 5833, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 21197, 5833, 1006, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 21197, 5833, 1005, 1010, 5199, 21197, 5833, 1035, 12098, 5620, 1007, 2203, 13366, 5199, 2890, 24063, 1006, 14841, 2094, 1010, 8740, 2705, 1007, 4604, 1035, 5199, 2890, 24063, 1006, 14841, 2094, 1010, 8740, 2705, 1007, 2203, 13366, 4604, 1035, 5199, 2890, 24063, 1006, 14841, 2094, 1010, 8740, 2705, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 2890, 24063, 1005, 1010, 5199, 2890, 24063, 1035, 12098, 5620, 1010, 1024, 14841, 2094, 1027, 1028, 14841, 2094, 1010, 1024, 8740, 2705, 1027, 1028, 8740, 2705, 1007, 2203, 13366, 5199, 13278, 2099, 1006, 9238, 1007, 4604, 1035, 5199, 13278, 2099, 1006, 9238, 1007, 2203, 13366, 4604, 1035, 5199, 13278, 2099, 1006, 9238, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 13278, 2099, 1005, 1010, 5199, 13278, 2099, 1035, 12098, 5620, 1010, 1024, 9238, 1027, 1028, 9238, 1007, 2203, 13366, 5199, 7834, 3736, 12439, 2923, 1006, 20301, 2319, 9863, 1007, 4604, 1035, 5199, 7834, 3736, 12439, 2923, 1006, 20301, 2319, 9863, 1007, 2203, 13366, 4604, 1035, 5199, 7834, 3736, 12439, 2923, 1006, 20301, 2319, 9863, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 7834, 3736, 12439, 2923, 1005, 1010, 5199, 7834, 3736, 12439, 2923, 1035, 12098, 5620, 1010, 1024, 20301, 2319, 9863, 1027, 1028, 20301, 2319, 9863, 1007, 2203, 13366, 5199, 28994, 10127, 9863, 1006, 1052, 4783, 2319, 9863, 1007, 4604, 1035, 5199, 28994, 10127, 9863, 1006, 1052, 4783, 2319, 9863, 1007, 2203, 13366, 4604, 1035, 5199, 28994, 10127, 9863, 1006, 1052, 4783, 2319, 9863, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 28994, 10127, 9863, 1005, 1010, 5199, 28994, 10127, 9863, 1035, 12098, 5620, 1010, 1024, 1052, 4783, 2319, 9863, 1027, 1028, 1052, 4783, 2319, 9863, 1007, 2203, 13366, 5199, 7834, 3736, 3351, 18515, 1006, 5199, 5244, 5856, 4160, 1010, 26264, 13874, 1007, 4604, 1035, 5199, 7834, 3736, 3351, 18515, 1006, 5199, 5244, 5856, 4160, 1010, 26264, 13874, 1007, 2203, 13366, 4604, 1035, 5199, 7834, 3736, 3351, 18515, 1006, 5199, 5244, 5856, 4160, 1010, 26264, 13874, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 7834, 3736, 3351, 18515, 1005, 1010, 5199, 7834, 3736, 3351, 18515, 1035, 12098, 5620, 1010, 1024, 5199, 5244, 5856, 4160, 1027, 1028, 5199, 5244, 5856, 4160, 1010, 1024, 26264, 13874, 1027, 1028, 26264, 13874, 1007, 2203, 13366, 5199, 7834, 3736, 4590, 2229, 11314, 1006, 20301, 2319, 1007, 4604, 1035, 5199, 7834, 3736, 4590, 2229, 11314, 1006, 20301, 2319, 1007, 2203, 13366, 4604, 1035, 5199, 7834, 3736, 4590, 2229, 11314, 1006, 20301, 2319, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 7834, 3736, 4590, 2229, 11314, 1005, 1010, 5199, 7834, 3736, 4590, 2229, 11314, 1035, 12098, 5620, 1010, 1024, 20301, 2319, 1027, 1028, 20301, 2319, 1007, 2203, 13366, 5199, 21572, 4842, 3723, 1006, 1056, 2361, 2497, 1007, 4604, 1035, 5199, 21572, 4842, 3723, 1006, 1056, 2361, 2497, 1007, 2203, 13366, 4604, 1035, 5199, 21572, 4842, 3723, 1006, 1056, 2361, 2497, 1007, 4604, 1035, 2028, 4576, 1035, 4471, 1006, 1005, 5199, 21572, 4842, 3723, 1005, 1010, 5199, 21572, 4842, 3723, 1035, 12098, 5620, 1010, 1024, 1056, 2361, 2497, 1027, 1028, 1056, 2361, 2497, 1007, 2203, 13366, 5199, 28578, 12184, 20330, 4887, 2705, 1006, 14841, 2094, 1010, 1052, 21724, 1010, 8740, 2705, 1007, 4604, 1035, 5199, 28578, 12184, 20330, 4887, 2705, 1006, 14841, 2094, 1010, 1052, 21724, 1010, 8740, 2705, 1007, 2709, 28667, 2615, 1035, 5199, 28578, 12184, 20330, 4887, 2705, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 28578, 12184, 20330, 4887, 2705, 1006, 14841, 2094, 1010, 1052, 21724, 1010, 8740, 2705, 1007, 4604, 1035, 4471, 1006, 1005, 5199, 28578, 12184, 20330, 4887, 2705, 1005, 1010, 5199, 28578, 12184, 20330, 4887, 2705, 1035, 12098, 5620, 1010, 1024, 14841, 2094, 1027, 1028, 14841, 2094, 1010, 1024, 1052, 21724, 1027, 1028, 1052, 21724, 1010, 1024, 8740, 2705, 1027, 1028, 8740, 2705, 1007, 2203, 13366, 28667, 2615, 1035, 5199, 28578, 12184, 20330, 4887, 2705, 1006, 1007, 2765, 1027, 4374, 1035, 4471, 1006, 5199, 28578, 12184, 20330, 4887, 2705, 1035, 2765, 1007, 2709, 2765, 1012, 3112, 4983, 2765, 1012, 3112, 1012, 9152, 2140, 1029, 5333, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1012, 2047, 1006, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1024, 1024, 4394, 1035, 2765, 1010, 1005, 5199, 28578, 12184, 20330, 4887, 2705, 3478, 1024, 4242, 2765, 1005, 1007, 2203, 13366, 5199, 28578, 12184, 20330, 18150, 1006, 14841, 2094, 1010, 8740, 2705, 1007, 4604, 1035, 5199, 28578, 12184, 20330, 18150, 1006, 14841, 2094, 1010, 8740, 2705, 1007, 2709, 28667, 2615, 1035, 5199, 28578, 12184, 20330, 18150, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 28578, 12184, 20330, 18150, 1006, 14841, 2094, 1010, 8740, 2705, 1007, 4604, 1035, 4471, 1006, 1005, 5199, 28578, 12184, 20330, 18150, 1005, 1010, 5199, 28578, 12184, 20330, 18150, 1035, 12098, 5620, 1010, 1024, 14841, 2094, 1027, 1028, 14841, 2094, 1010, 1024, 8740, 2705, 1027, 1028, 8740, 2705, 1007, 2203, 13366, 28667, 2615, 1035, 5199, 28578, 12184, 20330, 18150, 1006, 1007, 2765, 1027, 4374, 1035, 4471, 1006, 5199, 28578, 12184, 20330, 18150, 1035, 2765, 1007, 2709, 2765, 1012, 3112, 4983, 2765, 1012, 3112, 1012, 9152, 2140, 1029, 5333, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1012, 2047, 1006, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1024, 1024, 4394, 1035, 2765, 1010, 1005, 5199, 28578, 12184, 20330, 18150, 3478, 1024, 4242, 2765, 1005, 1007, 2203, 13366, 5199, 28578, 12184, 20330, 2098, 4183, 1006, 14841, 2094, 1010, 1057, 2497, 1010, 8740, 2705, 1007, 4604, 1035, 5199, 28578, 12184, 20330, 2098, 4183, 1006, 14841, 2094, 1010, 1057, 2497, 1010, 8740, 2705, 1007, 2709, 28667, 2615, 1035, 5199, 28578, 12184, 20330, 2098, 4183, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 28578, 12184, 20330, 2098, 4183, 1006, 14841, 2094, 1010, 1057, 2497, 1010, 8740, 2705, 1007, 4604, 1035, 4471, 1006, 1005, 5199, 28578, 12184, 20330, 2098, 4183, 1005, 1010, 5199, 28578, 12184, 20330, 2098, 4183, 1035, 12098, 5620, 1010, 1024, 14841, 2094, 1027, 1028, 14841, 2094, 1010, 1024, 1057, 2497, 1027, 1028, 1057, 2497, 1010, 1024, 8740, 2705, 1027, 1028, 8740, 2705, 1007, 2203, 13366, 28667, 2615, 1035, 5199, 28578, 12184, 20330, 2098, 4183, 1006, 1007, 2765, 1027, 4374, 1035, 4471, 1006, 5199, 28578, 12184, 20330, 2098, 4183, 1035, 2765, 1007, 2709, 2765, 1012, 3112, 4983, 2765, 1012, 3112, 1012, 9152, 2140, 1029, 5333, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1012, 2047, 1006, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1024, 1024, 4394, 1035, 2765, 1010, 1005, 5199, 28578, 12184, 20330, 2098, 4183, 3478, 1024, 4242, 2765, 1005, 1007, 2203, 13366, 5199, 6072, 26029, 3366, 28994, 10127, 1006, 1052, 4783, 2319, 1010, 8740, 2705, 1007, 4604, 1035, 5199, 6072, 26029, 3366, 28994, 10127, 1006, 1052, 4783, 2319, 1010, 8740, 2705, 1007, 2709, 28667, 2615, 1035, 5199, 6072, 26029, 3366, 28994, 10127, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 6072, 26029, 3366, 28994, 10127, 1006, 1052, 4783, 2319, 1010, 8740, 2705, 1007, 4604, 1035, 4471, 1006, 1005, 5199, 6072, 26029, 3366, 28994, 10127, 1005, 1010, 5199, 6072, 26029, 3366, 28994, 10127, 1035, 12098, 5620, 1010, 1024, 1052, 4783, 2319, 1027, 1028, 1052, 4783, 2319, 1010, 1024, 8740, 2705, 1027, 1028, 8740, 2705, 1007, 2203, 13366, 28667, 2615, 1035, 5199, 6072, 26029, 3366, 28994, 10127, 1006, 1007, 2765, 1027, 4374, 1035, 4471, 1006, 5199, 6072, 26029, 3366, 28994, 10127, 1035, 2765, 1007, 2709, 2765, 1012, 3112, 4983, 2765, 1012, 3112, 1012, 9152, 2140, 1029, 5333, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1012, 2047, 1006, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1024, 1024, 4394, 1035, 2765, 1010, 1005, 5199, 6072, 26029, 3366, 28994, 10127, 3478, 1024, 4242, 2765, 1005, 1007, 2203, 13366, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1006, 20301, 2319, 1010, 8740, 2705, 1007, 4604, 1035, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1006, 20301, 2319, 1010, 8740, 2705, 1007, 2709, 28667, 2615, 1035, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1006, 20301, 2319, 1010, 8740, 2705, 1007, 4604, 1035, 4471, 1006, 1005, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1005, 1010, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1035, 12098, 5620, 1010, 1024, 20301, 2319, 1027, 1028, 20301, 2319, 1010, 1024, 8740, 2705, 1027, 1028, 8740, 2705, 1007, 2203, 13366, 28667, 2615, 1035, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1006, 1007, 2765, 1027, 4374, 1035, 4471, 1006, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 1035, 2765, 1007, 2709, 2765, 1012, 3112, 4983, 2765, 1012, 3112, 1012, 9152, 2140, 1029, 5333, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1012, 2047, 1006, 1024, 1024, 16215, 16338, 1024, 1024, 4646, 10288, 24422, 1024, 1024, 4394, 1035, 2765, 1010, 1005, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 3478, 1024, 4242, 2765, 1005, 1007, 2203, 13366, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 18515, 1006, 5199, 5244, 5856, 4160, 1010, 26264, 13874, 1010, 8740, 2705, 1007, 4604, 1035, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 18515, 1006, 5199, 5244, 5856, 4160, 1010, 26264, 13874, 1010, 8740, 2705, 1007, 2709, 28667, 2615, 1035, 5199, 6072, 26029, 3366, 7834, 3736, 3351, 18515, 1006, 1007, 2203, 13366, 4604, 1035, 5199, 6072, 26029, 3366, 7834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 9587, 27102, 2229, 7186, 2085, 2039, 1998, 2770, 1010, 2027, 2734, 2242, 2000, 2147, 2006, 1012, 6787, 3081, 1037, 3144, 14590, 7559, 3334, 3049, 6153, 2011, 2062, 2084, 6352, 2692, 2111, 1010, 1996, 8457, 1999, 1996, 7186, 2003, 2037, 2034, 2208, 1998, 8518, 1996, 2447, 2007, 6405, 1996, 8401, 22213, 1997, 1996, 2088, 2027, 2424, 3209, 1999, 1010, 2004, 2027, 3604, 2091, 1037, 2314, 1999, 3945, 1997, 2037, 2279, 7954, 2096, 2667, 2025, 2000, 2468, 2028, 3209, 2005, 1996, 10000, 3560, 15109, 2008, 25728, 1996, 3748, 2015, 1012, 3191, 2112, 2028, 1997, 1996, 4357, 2182, 1012, 1523, 3492, 2574, 2057, 3369, 2012, 1996, 2801, 1997, 1996, 4990, 1010, 1037, 8932, 7691, 2208, 1010, 1524, 2758, 16319, 23268, 2989, 1010, 5859, 1998, 2522, 1011, 3910, 1997, 1996, 9587, 27102, 2229, 7186, 1012, 1523, 2057, 2318, 3241, 2055, 1010, 1520, 2054, 3084, 3168, 2005, 8932, 1029, 1521, 1012, 2059, 2057, 2245, 1010, 1520, 2092, 1010, 1037, 2314, 1521, 1055, 1037, 2428, 2204, 4316, 2005, 3604, 1521, 1012, 2013, 1996, 2314, 2234, 1996, 3160, 1010, 1520, 2054, 2785, 1997, 2314, 2079, 2057, 2215, 2000, 2079, 1029, 1521, 1012, 2008, 1521, 1055, 2073, 2057, 2333, 2046, 1996, 2801, 1997, 1996, 2137, 2067, 5880, 1012, 2009, 1521, 1055, 2941, 2073, 1037, 2193, 1997, 2149, 2024, 2013, 1998, 3473, 2039, 1010, 2061, 2057, 1521, 2128, 7199, 5220, 2007, 2009, 1012, 2009, 2074, 4586, 7384, 2098, 2013, 2045, 1012, 1524, 2275, 1999, 2019, 4895, 29278, 23795, 1998, 8075, 2088, 1010, 1996, 8457, 1999, 7186, 13585, 7691, 3579, 6924, 11247, 2007, 1520, 12406, 1011, 5507, 2063, 1521, 3787, 2107, 2004, 2566, 21565, 8988, 1998, 24508, 4245, 2000, 3443, 1037, 2784, 1010, 15712, 3085, 3325, 1012, 1523, 2023, 3475, 1521, 1056, 2242, 2017, 4133, 2091, 1998, 2017, 2377, 2083, 2320, 1010, 1524, 2758, 23268, 2989, 1012, 1523, 2009, 1521, 1055, 2242, 2008, 2057, 2215, 2000, 3857, 2039, 2058, 2051, 1012, 2296, 2377, 2705, 22494, 5603, 2003, 2367, 1012, 2017, 1521, 2128, 2025, 2183, 2000, 8087, 7955, 1998, 2017, 1521, 2222, 2069, 8087, 2070, 1997, 1996, 11450, 2008, 2027, 2064, 2031, 2007, 2017, 1012, 2279, 2051, 2017, 2377, 1010, 2017, 1521, 2222, 8087, 2367, 2111, 1010, 2030, 1996, 2168, 2711, 1010, 2021, 2027, 2031, 1037, 2367, 2518, 2000, 2360, 1012, 1524, 2007, 2151, 2047, 2996, 1010, 13774, 2075, 2091, 1996, 2034, 2622, 2003, 2467, 2183, 2000, 2022, 1037, 3697, 4708, 1010, 2028, 2008, 1996, 9587, 27102, 2229, 7186, 2020, 2025, 11819, 2013, 1012, 1523, 2111, 2788, 2215, 2045, 2000, 2022, 1037, 7407, 10053, 2617, 2073, 2017, 1521, 2128, 2074, 2066, 1010, 1520, 21142, 1521, 1012, 2021, 1045, 3984, 1045, 1521, 2310, 2196, 2499, 2008, 2126, 1010, 1998, 1045, 1521, 2310, 2196, 2124, 3087, 2147, 2008, 2126, 1010, 1524, 23268, 2989, 2758, 1012, 1523, 2428, 1010, 2009, 2234, 2055, 2013, 1037, 3232, 1997, 3722, 4784, 1012, 2057, 2359, 2000, 2079, 1037, 2208, 2008, 2001, 2055, 7691, 1998, 2057, 2359, 2000, 2079, 1037, 2208, 2008, 2001, 3760, 4094, 2084, 2054, 2057, 1521, 1040, 2589, 2077, 1010, 2028, 2008, 1037, 2235, 2136, 1997, 2111, 2071, 16286, 2079, 1999, 2055, 1037, 2095, 2030, 2061, 1012, 1524, 2004, 6936, 1999, 2112, 2028, 1010, 1996, 9587, 27102, 2229, 7186, 6235, 3209, 2004, 1523, 1037, 2194, 1997, 13360, 8711, 1010, 1524, 2719, 2013, 4654, 1011, 2372, 1997, 23179, 2399, 1517, 2087, 3297, 2005, 1996, 16012, 22231, 3600, 2186, 1517, 6081, 2858, 28697, 10446, 28118, 25546, 7646, 1998, 10271, 2996, 23377, 12326, 2399, 1012, 2044, 9853, 2006, 1037, 4145, 1010, 1996, 2279, 3291, 2008, 4320, 1996, 25954, 2996, 2001, 2129, 2000, 4636, 2037, 4432, 2302, 1037, 2502, 2171, 6674, 2369, 2068, 1012, 2027, 4900, 14590, 7559, 3334, 1012, 1523, 2057, 1521, 2310, 2018, 2307, 7280, 2007, 2009, 1010, 1524, 2758, 23268, 2989, 1012, 1523, 2009, 2234, 1999, 7199, 2220, 2295, 1012, 2044, 23179, 2701, 1010, 2057, 2018, 10995, 1998, 7367, 21998, 1010, 2021, 2057, 2354, 2008, 2347, 1521, 1056, 2183, 2000, 2175, 2521, 2438, 2000, 2191, 1996, 2440, 2208, 1012, 1524, 14590, 7559, 3334, 2004, 1037, 4804, 4132, 2038, 2363, 6256, 2005, 5378, 2053, 5509, 10659, 2008, 6153, 3688, 2097, 2412, 2022, 2736, 1010, 2021, 23268, 2989, 2001, 4248, 2000, 16114, 1996, 9587, 27102, 2229, 7186, 1521, 1055, 3247, 3038, 1024, 1523, 2045, 1521, 1055, 1037, 9129, 1997, 7047, 2041, 2045, 1012, 2017, 2064, 3046, 1998, 2131, 2019, 14316, 2000, 15697, 1999, 2115, 2194, 1010, 2017, 2064, 2424, 1037, 6674, 1010, 2030, 2017, 2064, 2175, 2000, 4306, 11263, 15683, 1012, 2057, 2700, 2000, 2175, 2000, 4306, 11263, 15683, 2138, 2320, 2017, 2202, 8307, 1521, 1055, 2769, 1010, 2017, 1521, 2128, 2551, 2005, 2068, 1010, 1998, 1997, 1996, 2536, 23029, 2041, 2045, 1010, 2057, 2371, 2008, 2183, 2000, 1996, 2270, 2001, 1996, 2087, 16166, 1012, 2057, 2071, 2175, 4919, 2007, 1996, 2208, 2008, 2057, 2359, 2000, 2191, 1998, 3362, 1996, 2111, 2040, 2020, 2046, 2009, 1998, 2359, 2149, 2000, 2191, 2009, 1010, 1998, 2059, 2057, 2071, 2191, 2008, 2208, 2004, 4941, 2000, 2183, 2000, 8307, 2842, 2040, 2453, 4066, 1997, 2066, 2054, 2057, 1521, 2128, 2725, 1010, 2021, 2038, 2037, 2219, 4784, 1998, 2037, 2219, 2449, 5559, 2006, 2054, 2057, 2079, 1012, 2023, 2126, 2009, 4473, 2149, 2000, 2175, 2000, 1996, 2111, 2008, 2057, 1521, 2128, 2437, 1996, 2208, 2005, 1998, 3198, 2068, 2000, 2490, 2009, 2039, 12792, 1012, 1524, 1996, 3049, 2736, 2006, 5504, 2281, 2297, 10910, 1002, 5539, 1010, 2199, 1999, 4804, 1010, 14925, 15000, 7741, 2049, 2434, 3125, 1997, 1002, 5018, 1010, 2199, 2306, 1037, 2733, 1997, 4851, 1012, 1996, 4469, 5356, 14058, 7683, 3289, 2164, 10866, 5549, 1010, 2073, 1996, 2447, 14496, 3209, 2114, 1996, 9760, 1997, 1996, 2208, 1998, 5927, 2129, 2146, 2027, 2064, 2197, 1010, 2314, 21298, 7661, 6648, 1998, 1037, 7177, 1997, 2653, 7047, 1012, 1996, 4469, 5166, 2036, 3957, 1996, 2136, 2070, 2282, 2000, 7200, 1998, 3965, 1037, 2208, 2008, 6010, 1996, 4781, 1997, 2037, 3025, 14152, 1012, 1523, 2065, 14590, 7559, 3334, 2134, 1521, 1056, 2147, 1010, 2057, 1521, 1040, 2342, 2000, 2022, 2559, 2012, 2060, 7047, 1010, 2021, 2009, 2106, 1012, 2061, 2057, 1521, 2128, 1999, 2428, 2204, 4338, 2157, 2085, 1010, 1524, 23268, 2989, 2758, 1012, 20229, 6787, 1010, 1996, 2279, 3357, 2005, 1996, 9587, 27102, 2229, 7186, 2097, 2022, 2000, 3857, 2588, 1996, 10100, 4201, 2041, 1999, 1996, 14590, 7559, 3334, 3049, 1012, 1037, 2350, 6922, 1997, 2023, 2097, 2022, 10561, 2129, 1996, 2208, 1521, 1055, 7984, 2097, 4895, 10371, 1012, 1523, 2057, 4033, 1521, 1056, 3599, 26304, 2129, 2172, 2057, 2215, 2000, 2681, 8075, 1998, 2000, 1996, 9647, 1997, 1996, 2447, 1010, 1998, 2129, 2172, 2057, 2215, 2000, 2131, 13216, 2055, 2054, 2023, 2088, 2003, 1010, 1524, 2758, 23268, 2989, 1012, 1523, 1045, 2066, 7510, 1999, 20385, 1998, 5599, 2111, 4567, 2037, 2219, 15306, 2055, 2009, 1010, 1524, 2002, 9909, 1012, 1523, 2111, 2024, 2428, 2204, 2012, 3773, 2048, 2477, 2279, 2000, 2169, 2060, 1998, 23911, 2075, 1037, 7984, 2000, 2009, 2302, 2045, 11303, 2000, 2022, 2019, 13216, 8786, 7984, 1012, 2057, 1521, 2128, 2559, 2012, 2065, 2057, 25645, 2023, 16358, 2182, 1998, 2057, 25645, 2023, 8164, 2058, 2182, 1010, 1998, 2059, 2057, 25645, 2122, 24629, 2058, 2045, 1998, 2059, 2057, 25645, 1037, 13526, 3518, 1010, 2003, 2045, 1037, 2466, 2008, 2064, 2272, 2041, 1997, 2023, 1029, 2009, 1521, 1055, 1037, 4119, 2000, 2147, 2041, 2129, 2000, 2191, 2008, 4933, 15902, 1998, 2025, 6135, 2512, 5054, 19570, 2389, 1012, 1524, 2023, 7534, 1037, 21883, 1012, 1999, 1996, 8457, 1999, 1996, 7186, 1010, 1996, 2447, 7930, 1996, 2088, 1998, 6010, 2536, 3494, 2247, 1996, 2126, 1010, 4990, 2075, 2875, 1037, 16250, 2203, 3125, 1010, 1996, 2677, 1997, 1996, 2314, 1010, 2061, 2025, 2035, 1997, 1996, 9994, 2003, 2187, 14262, 10497, 11514, 9956, 2271, 1012, 2023, 9005, 2019, 3277, 2043, 4117, 2007, 1996, 12406, 1011, 5507, 2063, 3787, 1997, 1996, 2208, 1998, 3674, 2377, 2705, 22494, 5603, 2015, 1012, 2129, 2079, 1996, 9797, 2644, 2867, 2128, 7913, 23782, 1996, 2168, 2598, 2058, 1998, 2058, 2153, 1010, 2096, 2145, 4129, 1037, 2522, 21579, 2466, 1029, 1523, 2045, 1521, 1055, 1037, 3232, 1997, 3798, 2000, 2009, 1012, 1045, 2228, 1996, 2087, 2590, 2466, 2003, 1996, 2028, 2008, 1996, 2447, 4136, 2083, 2037, 2219, 4506, 1010, 1996, 2466, 2008, 4152, 7013, 2083, 2377, 1010, 2083, 1996, 9760, 1997, 1996, 2088, 1010, 1524, 23268, 2989, 7607, 1012, 1523, 2009, 1521, 1055, 24508, 1010, 2021, 2009, 1521, 1055, 2025, 6721, 1010, 2045, 1521, 1055, 2467, 2183, 2000, 2022, 2019, 8115, 1997, 3325, 2008, 2057, 1521, 2128, 2311, 2046, 2009, 1012, 1524, 1996, 10191, 1997, 1996, 2208, 7534, 1037, 21883, 2004, 2092, 1012, 2867, 2202, 2491, 1997, 7464, 1010, 1037, 2450, 26398, 2012, 5747, 10419, 1998, 1996, 2396, 1997, 7691, 1010, 5642, 2011, 2014, 2214, 3899, 29347, 28793, 1010, 2040, 4107, 2025, 2069, 11946, 5605, 1010, 2021, 1037, 2192, 1006, 2030, 22195, 1007, 2007, 1996, 8641, 1012, 15712, 3085, 1998, 7691, 3579, 6924, 6322, 2066, 1996, 8457, 1999, 1996, 7186, 1010, 1999, 2029, 4945, 1998, 2331, 2024, 2411, 13418, 1010, 5333, 1996, 3160, 1997, 2129, 4876, 1996, 2447, 2003, 3214, 2000, 6709, 2007, 1996, 2839, 2027, 1521, 2128, 2652, 2004, 1012, 2003, 7464, 2014, 2219, 2450, 2030, 2003, 2016, 2149, 1999, 2008, 2088, 1029, 1523, 2057, 1521, 2128, 2025, 2311, 2014, 2000, 2022, 1037, 7150, 7867, 2785, 1997, 2839, 2008, 2038, 7167, 1997, 10245, 7685, 7982, 1010, 1524, 2758, 23268, 2989, 1012, 1999, 1037, 2208, 1010, 2129, 2172, 2003, 1996, 10191, 1037, 2839, 2017, 1521, 2128, 2652, 2004, 1029, 2024, 2027, 1037, 22330, 27921, 2030, 2024, 2027, 1037, 2839, 2008, 2038, 2037, 2219, 6180, 1029, 1523, 1045, 2228, 2057, 1521, 2128, 4899, 4873, 1999, 2090, 1012, 7464, 2003, 2025, 8307, 2040, 1521, 1055, 4092, 1999, 1996, 2208, 2030, 2505, 1012, 2016, 1521, 1055, 4011, 2000, 2022, 2619, 2017, 21490, 1012, 2021, 2012, 1996, 2168, 2051, 1010, 2016, 1521, 1055, 5026, 2014, 6322, 1998, 3716, 2007, 2014, 1012, 1996, 5310, 8278, 2003, 2183, 2000, 2022, 3492, 12382, 2055, 5599, 2017, 2113, 2054, 2017, 2064, 1998, 3685, 7477, 1012, 1523, 1998, 2008, 1521, 1055, 24668, 1997, 1996, 2755, 2008, 7464, 2525, 4282, 2054, 2016, 2064, 1998, 3685, 7477, 1999, 1996, 2088, 1998, 2054, 2016, 3791, 2000, 2079, 2000, 5788, 1010, 1524, 2002, 4247, 1012, 1523, 2009, 1521, 1055, 1037, 3697, 3291, 2000, 2404, 1037, 2376, 2046, 1996, 2677, 1997, 1996, 2447, 1010, 2138, 2009, 1521, 1055, 3497, 2008, 8307, 1010, 4873, 1010, 3475, 1521, 1056, 2183, 2000, 5993, 2007, 2054, 1521, 1055, 2056, 1012, 1045, 2228, 2009, 1521, 1055, 2447, 1011, 9358, 7277, 2000, 2292, 1996, 2839, 2017, 2491, 2031, 2070, 6180, 1010, 2021, 2025, 2022, 2205, 2172, 1997, 2037, 2219, 2711, 1012, 1524, 1996, 12465, 1997, 1996, 8457, 1999, 1996, 7186, 2003, 8478, 1010, 14309, 2007, 18921, 5092, 4667, 7224, 1998, 19854, 1012, 1523, 2057, 1521, 2128, 2478, 4895, 22852, 3194, 1018, 1010, 1524, 23268, 2989, 2758, 1012, 1523, 2057, 1521, 2310, 2035, 2109, 4895, 22852, 2005, 2086, 1010, 1045, 2228, 1045, 1521, 2310, 2109, 2009, 2005, 2809, 2086, 12145, 2437, 2399, 1012, 2057, 2354, 1996, 3194, 2525, 1010, 2061, 2009, 2001, 3492, 3733, 2000, 2191, 2008, 3247, 1012, 2057, 2036, 2245, 1010, 1997, 1996, 7047, 2041, 2045, 1010, 4895, 22852, 2074, 2038, 1996, 2190, 14259, 6627, 1997, 2505, 2008, 1521, 1055, 2800, 2005, 2019, 10271, 2136, 2000, 2022, 2478, 1012, 2396, 2003, 1037, 2428, 2590, 2112, 1997, 2023, 2208, 1010, 2061, 2057, 2245, 1010, 1520, 2057, 2113, 2023, 2518, 1998, 2057, 2113, 2009, 2573, 2428, 2092, 1521, 1010, 2061, 2009, 2790, 1037, 3019, 4906, 2005, 2149, 1012, 1524, 1996, 2396, 2806, 19394, 2015, 1996, 2695, 1011, 27660, 6991, 1999, 1996, 2466, 1010, 2007, 1996, 2784, 8604, 18435, 1037, 3110, 1997, 2381, 2000, 1996, 10058, 1012, 1523, 2057, 9544, 1520, 2695, 1011, 23382, 1521, 1010, 1524, 2758, 23268, 2989, 1012, 1523, 27660, 12748, 2070, 2785, 1997, 3742, 14446, 2724, 1998, 2008, 2347, 1521, 1056, 2242, 2008, 2057, 2359, 2000, 2175, 3442, 2046, 3038, 1012, 2057, 2134, 1521, 1056, 2215, 2000, 2175, 1010, 1520, 2821, 3398, 1010, 2023, 9202, 2518, 3047, 1998, 7955, 2351, 1521, 1010, 2009, 1521, 1055, 2062, 2066, 1520, 2092, 1010, 2009, 1521, 1055, 1037, 6547, 1521, 1012, 1524, 2122, 2640, 9804, 1998, 4292, 2024, 5173, 2013, 1037, 3528, 1997, 4216, 1010, 7607, 23268, 2989, 1012, 1523, 2065, 2045, 1521, 1055, 2505, 2008, 1521, 1055, 8335, 2426, 2149, 1010, 2009, 1521, 1055, 2008, 2057, 2035, 4139, 4933, 2013, 2035, 2058, 1996, 2173, 1012, 2017, 2074, 3046, 1998, 16678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6622, 2862, 1996, 6622, 2862, 2003, 1037, 7057, 2005, 8570, 1010, 6594, 1010, 8927, 1010, 2739, 1010, 1998, 4391, 2008, 5665, 12717, 12556, 1996, 3399, 1997, 6622, 1998, 2049, 13494, 1999, 2434, 1998, 12369, 3993, 3971, 1012, 4983, 4728, 3264, 1010, 2035, 4475, 2089, 2022, 9339, 2030, 2128, 1011, 2405, 1999, 2440, 1010, 2007, 2012, 18886, 29446, 2000, 1996, 3166, 1998, 1996, 6622, 2862, 1012, 1996, 5328, 5228, 2182, 2378, 2079, 2025, 9352, 8339, 2216, 1997, 10921, 2118, 1010, 2049, 3447, 1010, 4513, 1010, 2493, 1010, 2030, 3095, 1012, 4465, 1010, 2258, 2676, 1010, 2263, 7642, 2203, 2891, 24335, 26282, 6190, 1998, 9414, 2640, 2009, 1005, 1055, 2200, 24665, 10450, 14116, 2000, 2156, 9399, 9388, 24848, 2483, 2633, 2893, 1996, 5038, 2008, 2016, 17210, 1012, 2004, 1996, 2087, 4621, 16258, 21576, 1997, 1996, 7642, 2203, 2891, 24335, 26282, 6190, 3399, 1006, 2275, 1007, 2005, 1996, 4761, 1997, 7327, 6673, 7677, 4570, 1010, 9399, 1005, 1055, 2147, 3640, 2019, 6581, 2742, 1997, 2129, 8909, 2323, 1006, 2021, 2747, 2987, 1005, 1056, 1007, 10838, 1012, 2076, 1996, 2397, 4120, 1010, 9399, 2405, 1037, 2186, 1997, 6208, 4981, 2006, 1996, 6622, 1997, 7327, 6673, 7677, 4588, 4442, 1010, 16979, 1999, 2014, 8637, 2338, 25353, 14905, 10735, 2483, 1998, 3526, 6622, 1010, 1999, 2029, 2016, 5362, 4201, 2041, 1996, 17537, 3350, 4637, 1996, 3399, 2008, 10210, 11663, 15422, 4360, 1010, 16480, 10626, 7361, 8523, 3215, 1010, 1998, 6151, 7068, 27633, 2401, 1006, 7327, 6673, 7677, 4588, 25022, 6632, 1998, 5210, 8411, 1007, 2020, 2320, 2489, 2542, 10327, 1006, 6379, 17864, 10327, 1010, 22330, 6761, 3676, 21162, 2401, 1010, 1998, 11867, 9711, 7507, 12870, 2015, 1010, 4414, 1007, 1012, 2014, 3399, 2001, 11188, 2007, 17152, 1998, 8040, 9691, 2011, 2471, 2035, 12761, 21477, 2015, 1006, 2614, 5220, 1029, 1007, 1010, 2040, 3373, 2012, 1996, 2051, 2008, 2035, 7327, 6673, 7677, 4588, 12562, 5812, 22869, 7964, 2011, 16612, 3449, 7875, 21223, 1997, 1999, 3567, 20876, 9285, 1997, 1996, 12123, 10804, 1012, 2021, 9399, 2134, 1005, 1056, 2507, 2039, 1010, 2030, 3613, 2000, 3432, 2717, 3686, 2014, 2434, 3399, 1006, 2614, 5220, 1029, 1007, 1012, 2612, 1010, 2016, 2506, 2000, 2079, 4866, 2492, 1998, 5911, 2470, 1010, 4640, 5606, 1997, 4981, 1998, 9877, 1997, 2808, 1999, 2029, 2016, 3591, 1996, 16222, 2819, 10924, 17537, 3350, 4637, 2014, 3399, 1012, 2007, 2051, 1010, 2060, 6950, 1006, 6628, 2011, 1996, 3112, 1997, 2014, 2492, 1998, 6845, 2470, 1007, 2211, 2000, 3231, 2014, 1044, 22571, 14573, 23072, 3209, 1010, 1998, 3603, 2664, 2062, 17537, 3350, 4637, 2014, 3399, 1012, 1998, 2061, 2651, 1010, 9399, 9388, 24848, 2483, 1005, 1055, 2275, 2038, 2468, 1996, 7444, 3399, 9990, 2025, 2069, 1996, 4761, 1997, 7327, 6673, 7677, 4570, 1010, 2021, 2036, 1996, 4761, 1997, 12761, 21160, 2012, 9877, 1997, 2367, 3798, 1999, 7366, 1006, 2156, 2014, 2338, 1010, 13868, 13458, 2015, 2005, 1037, 7721, 3319, 1007, 1012, 2061, 2092, 3970, 2038, 2014, 2147, 2468, 2011, 12761, 21477, 2015, 2008, 2633, 1010, 2044, 2471, 2176, 5109, 1010, 4325, 5130, 1998, 8909, 6793, 2031, 5625, 2000, 2886, 2014, 8106, 1012, 2004, 2016, 2056, 2012, 2256, 11534, 2154, 7401, 2012, 10921, 2023, 2627, 2337, 1010, 2053, 3618, 21358, 27972, 3370, 1997, 2028, 1005, 1055, 1000, 2383, 3369, 1000, 2004, 1037, 2350, 24241, 1999, 12761, 7366, 2071, 2022, 8078, 1012, 1996, 2391, 2182, 2003, 2008, 1010, 2065, 8909, 4122, 2000, 2468, 3970, 2004, 2112, 1997, 12761, 7366, 1999, 1996, 2168, 2126, 2008, 9399, 9388, 24848, 2483, 1005, 1055, 2275, 2038, 2468, 3970, 1010, 2059, 8909, 6793, 2031, 2000, 2079, 1996, 2168, 2518, 2016, 2106, 1024, 2131, 2041, 1999, 1996, 2492, 1998, 2131, 2115, 2398, 6530, 1010, 1998, 2131, 2046, 1996, 6845, 1998, 2079, 1996, 2168, 2518, 1012, 2014, 4784, 2020, 2074, 2004, 27776, 15265, 7716, 11636, 1998, 21873, 1999, 3440, 2004, 8909, 2003, 2085, 1012, 2174, 1010, 2016, 2134, 1005, 1056, 2404, 2035, 1997, 2014, 3947, 2046, 2270, 4262, 1998, 2576, 10398, 1012, 2053, 1000, 25353, 14905, 10735, 2483, 2820, 1000, 14019, 8817, 2046, 1996, 2537, 1997, 9969, 19112, 2811, 18628, 1998, 2028, 1011, 11536, 10398, 3152, 1012, 23269, 1997, 2969, 1011, 2805, 8519, 3005, 2069, 7524, 2000, 7366, 2001, 1999, 2152, 2082, 4280, 2030, 2054, 2027, 3191, 2006, 6998, 1999, 11046, 2030, 13191, 6934, 1038, 14301, 15070, 2006, 2275, 1998, 4161, 3209, 8519, 2044, 1037, 2733, 1997, 23105, 2817, 1997, 4790, 2006, 16948, 1012, 2053, 1010, 9399, 1998, 2014, 8628, 2106, 1996, 2524, 2147, 1997, 4531, 1996, 17537, 3350, 2008, 2776, 3344, 1996, 2154, 1998, 2511, 2014, 2275, 2004, 2028, 1997, 1996, 28272, 10100, 2085, 11007, 2438, 1997, 4847, 2004, 2000, 7796, 1996, 20868, 2063, 1997, 1996, 4325, 5130, 1998, 8909, 2545, 1012, 2014, 4784, 2024, 2145, 7490, 1010, 1998, 2145, 5333, 1996, 2668, 3778, 1997, 2116, 12761, 21477, 2015, 1012, 2014, 15322, 1997, 1996, 1000, 2715, 12761, 10752, 1000, 1999, 3327, 2003, 2025, 2759, 2426, 2116, 12761, 21477, 2015, 1010, 2040, 2024, 4321, 2145, 14719, 2098, 1999, 20680, 2015, 2008, 2024, 2012, 2560, 2176, 5109, 1997, 2041, 1997, 3058, 1012, 2016, 2038, 2056, 2070, 2477, 2055, 1996, 1000, 2715, 10752, 1000, 2008, 2031, 2716, 8451, 2000, 1996, 5344, 1997, 1996, 4325, 2923, 14686, 1011, 11257, 1012, 1996, 4489, 2090, 2014, 1998, 2068, 2003, 2008, 2027, 2064, 1005, 1056, 2130, 4088, 2000, 4366, 2151, 21553, 1999, 2671, 1025, 2037, 1000, 2147, 1000, 2003, 4498, 26045, 2006, 5106, 1010, 1998, 17210, 2498, 2021, 17152, 1012, 2043, 1996, 2381, 1997, 12761, 7366, 1999, 1996, 3983, 2301, 2003, 2517, 1006, 1045, 3246, 2000, 9002, 2000, 2009, 2870, 1010, 2065, 1045, 2444, 2146, 2438, 1007, 1010, 1996, 2147, 1997, 9399, 9388, 24848, 2483, 2097, 4635, 2157, 2039, 2045, 2007, 1996, 2147, 1997, 8731, 1010, 11085, 7847, 2063, 1010, 6119, 1010, 2079, 2497, 27922, 6962, 4801, 1010, 2089, 2099, 1010, 9304, 1010, 26261, 10322, 7076, 1010, 14913, 1010, 24992, 12162, 2378, 1010, 5035, 4648, 1010, 3766, 1010, 5226, 1010, 13012, 14028, 1010, 1998, 1996, 2048, 4267, 2015, 1012, 1998, 4983, 1998, 2127, 8909, 2545, 5630, 2008, 2009, 1005, 1055, 2633, 2051, 2000, 2644, 2725, 12943, 4183, 21572, 2361, 1998, 2707, 2725, 2671, 1010, 2027, 1998, 1996, 4325, 5130, 2097, 2012, 2190, 2022, 1037, 20610, 3329, 22074, 1012, 2607, 6412, 1024, 2023, 18014, 11596, 1010, 1999, 3439, 7339, 1010, 25962, 2055, 1996, 3451, 1010, 9569, 1010, 1998, 4045, 13494, 1997, 12761, 7366, 1012, 10287, 3579, 2588, 3980, 2055, 5932, 1010, 2489, 2097, 1010, 10100, 2005, 9615, 1010, 3574, 1999, 2166, 1010, 1998, 2166, 2044, 2331, 1012, 15324, 2846, 2013, 2798, 11534, 2000, 1996, 2556, 1006, 2156, 3752, 2862, 1010, 2917, 1007, 1012, 1999, 7428, 1010, 2798, 11534, 2626, 1999, 1996, 6934, 1997, 2158, 1000, 1529, 1996, 2034, 3192, 1997, 1996, 7191, 3168, 3658, 1999, 1996, 2591, 16160, 1529, 1998, 2122, 16160, 2053, 4797, 2020, 3952, 4227, 1529, 2083, 3019, 4989, 1012, 1524, 1037, 2301, 2101, 1010, 3487, 1051, 1012, 4267, 1010, 16021, 10085, 3695, 21685, 1024, 1996, 2047, 10752, 1010, 2626, 1523, 1996, 21477, 1529, 10919, 2008, 2969, 1011, 3716, 2003, 27570, 1998, 5044, 2011, 1529, 3019, 4989, 1012, 2023, 3722, 4861, 2442, 2022, 9505, 2000, 4863, 9615, 1998, 12962, 17586, 1529, 1012, 1524, 1998, 2061, 2009, 2038, 1024, 1999, 1996, 2627, 2261, 2086, 1996, 4772, 1997, 1044, 22571, 14573, 23072, 2005, 1996, 6622, 1997, 9615, 1998, 1523, 1996, 7191, 3168, 1524, 2038, 2468, 2019, 11355, 3930, 3068, 1998, 1037, 2980, 8476, 1997, 5981, 1012, 1999, 2023, 18014, 2607, 1010, 2057, 2097, 2202, 2039, 2023, 5981, 2011, 6195, 2048, 4522, 1044, 22571, 14573, 23072, 1024, 1006, 1015, 1007, 2008, 9615, 2064, 2022, 5173, 3495, 2013, 2529, 12761, 7366, 1010, 2030, 1006, 1016, 1007, 2008, 9615, 2064, 2069, 2022, 5173, 2013, 9569, 6481, 1010, 2029, 2024, 2025, 3495, 4315, 11444, 3468, 2013, 12761, 7366, 1012, 2443, 1999, 2023, 5981, 2097, 2022, 2019, 3668, 9584, 1997, 1996, 10744, 2008, 1996, 3977, 2005, 12962, 5248, 2003, 2019, 12761, 6789, 2008, 2038, 7964, 2011, 3019, 4989, 2426, 2256, 25662, 10748, 1012, 2057, 2097, 3191, 2013, 2070, 1997, 1996, 2877, 6048, 2006, 1996, 3395, 1010, 2164, 23151, 2015, 2139, 11333, 2389, 1010, 2703, 2521, 5677, 1010, 7871, 5292, 20330, 1010, 1056, 1012, 1044, 1012, 15876, 20959, 1010, 2957, 11830, 1010, 9899, 17358, 1010, 1998, 2585, 19024, 4267, 1012, 2256, 7848, 2097, 2022, 2000, 4066, 2041, 1996, 2536, 3314, 2012, 2377, 1010, 1998, 2000, 2272, 2000, 15563, 2006, 2129, 2216, 3314, 2064, 2022, 6377, 2046, 1037, 7339, 1997, 1996, 6970, 13068, 2090, 4695, 1998, 1996, 3019, 4163, 1012, 1999, 2804, 2000, 1999, 1011, 2465, 10287, 1010, 2607, 6818, 2097, 2031, 1996, 4495, 2000, 5589, 1999, 3784, 14379, 1998, 10287, 3081, 1996, 9450, 1005, 1055, 4773, 21197, 1012, 2493, 5068, 2005, 1996, 2607, 2097, 2036, 2031, 2019, 4495, 2000, 2556, 2037, 2434, 2470, 3259, 1006, 1055, 1007, 2000, 1996, 2465, 1998, 2000, 1996, 2236, 2270, 3081, 4772, 2006, 1996, 2607, 4773, 21197, 1998, 3081, 1996, 6622, 2862, 1012, 3832, 4378, 1024, 2023, 2607, 2003, 3832, 3952, 2005, 2493, 1999, 7366, 1010, 2381, 1010, 4695, 1010, 1998, 2671, 1004, 2974, 2913, 1012, 1996, 3921, 2097, 2022, 18593, 1010, 1998, 1996, 4289, 2097, 8676, 1997, 1999, 1011, 5995, 15324, 2408, 1996, 12736, 1998, 6594, 1997, 1996, 3314, 2992, 2011, 2107, 15324, 1012, 3653, 2890, 24871, 2015, 1024, 3904, 1010, 2348, 1037, 3716, 1997, 9569, 9615, 1010, 12761, 6825, 1010, 1998, 2236, 12761, 3399, 2052, 2022, 14044, 1012, 2420, 1010, 2335, 1010, 1004, 3182, 1024, 1996, 2607, 2097, 3113, 2006, 9857, 1998, 9432, 16241, 2013, 1020, 1024, 4002, 2000, 1023, 1024, 4002, 7610, 1999, 8494, 2094, 2534, 1010, 2282, 2871, 2683, 1006, 1996, 1059, 16584, 15166, 2099, 18014, 2282, 1007, 1010, 2927, 2006, 9857, 2484, 2238, 2263, 1998, 4566, 2006, 9432, 2861, 2251, 2263, 1012, 2057, 2097, 2036, 2031, 2019, 2203, 1011, 1997, 1011, 2607, 12695, 2006, 5958, 2423, 2251, 2263, 1012, 4923, 1004, 7022, 1024, 1996, 2607, 2097, 2022, 3253, 2005, 1018, 2847, 1997, 4923, 1010, 7539, 1997, 2029, 2607, 10328, 2493, 5454, 2000, 4236, 2005, 1012, 4983, 4728, 3264, 1010, 2607, 4923, 1999, 16012, 4402, 4805, 2581, 1013, 1038, 1004, 27084, 4008, 2581, 2064, 2022, 2109, 2000, 13883, 7366, 1013, 2671, 4353, 5918, 1998, 2010, 2102, 24690, 1013, 1055, 1004, 24529, 4008, 2581, 2064, 2022, 2109, 2000, 13883, 11406, 4353, 5918, 1006, 4638, 2007, 2115, 2267, 24580, 1005, 1055, 2436, 2005, 2062, 2592, 1007, 1012, 3661, 7022, 2005, 2023, 2607, 2097, 2022, 2241, 2006, 1996, 3737, 1997, 2517, 2147, 2006, 2434, 2470, 4981, 2517, 2011, 2493, 1010, 4606, 6577, 1999, 2465, 6594, 1012, 2607, 10316, 1004, 8819, 1024, 2035, 6818, 2442, 2022, 5068, 1999, 1996, 10921, 2416, 1011, 2733, 2621, 5219, 2000, 5463, 2465, 6295, 1998, 4374, 4923, 2005, 1996, 2607, 1006, 11562, 2182, 2005, 2005, 2062, 2592, 1998, 2000, 25612, 2005, 2023, 2607, 1007, 1012, 8819, 2097, 2022, 3132, 2000, 1996, 2034, 2324, 2493, 2040, 25612, 2005, 4923, 1012, 6119, 1010, 2728, 1006, 2786, 1007, 1996, 7191, 4111, 1024, 2339, 2057, 2024, 1996, 2126, 2057, 2024, 1024, 1996, 2047, 2671, 1997, 12761, 6825, 1012, 13528, 1010, 2047, 2259, 1010, 6396, 1010, 3175, 1001, 5757, 2581, 2683, 2581, 2575, 23499, 2683, 2575, 1010, 1002, 2321, 1012, 5345, 1006, 13611, 1007, 1010, 4749, 2575, 5530, 1012, 8570, 1024, 3383, 1996, 2087, 2691, 2991, 15719, 1999, 4695, 1998, 2671, 2003, 1996, 11765, 2000, 7868, 2008, 2138, 2242, 2003, 1523, 3019, 1524, 1006, 3649, 2008, 2965, 1007, 2009, 2442, 1010, 12997, 6499, 13743, 1010, 2022, 1523, 2204, 1524, 1006, 3649, 2008, 2965, 1007, 2004, 2092, 1012, 1999, 2197, 2621, 1521, 1055, 6622, 1998, 2381, 1997, 7366, 18014, 1010, 2057, 5720, 2055, 2023, 11765, 2012, 2070, 3091, 1012, 2023, 2621, 1045, 13566, 2000, 2191, 2009, 1996, 3078, 3579, 1997, 2256, 10287, 1012, 2013, 1037, 3439, 3233, 8400, 1010, 1996, 11765, 2000, 9530, 10258, 3686, 1523, 2003, 1524, 1998, 1523, 11276, 1524, 8635, 2038, 2042, 2028, 1997, 1996, 7552, 9918, 2055, 1996, 13494, 1997, 6622, 2412, 2144, 11534, 2034, 3818, 2010, 3399, 1999, 8165, 1012, 5262, 1010, 11534, 2370, 2626, 2172, 2006, 1996, 3395, 1010, 2926, 1999, 1996, 6934, 1997, 2158, 1010, 1998, 4989, 1999, 7189, 2000, 3348, 1010, 2010, 2117, 2087, 2759, 1006, 1998, 6801, 1007, 2338, 1012, 2009, 2038, 2036, 2042, 2028, 1997, 1996, 4216, 1997, 2119, 6724, 1998, 6704, 2055, 6622, 2651, 1012, 1999, 3327, 1010, 12761, 25428, 1006, 2426, 3183, 1045, 2193, 2870, 1007, 2031, 6915, 2007, 2023, 3291, 1010, 2025, 2467, 5147, 1012, 2066, 2197, 2621, 1998, 1996, 2621, 2077, 1010, 2023, 2003, 1037, 17160, 8476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2070, 2358, 8516, 2923, 2016, 2003, 1529, 1045, 3745, 2019, 4545, 2007, 1037, 18328, 2008, 2003, 1037, 2606, 2358, 8516, 2923, 1012, 1996, 2518, 2003, 2008, 2016, 2003, 2467, 4129, 2033, 2008, 1045, 2323, 3046, 1037, 9483, 2121, 2030, 2060, 3949, 2000, 8081, 2026, 2606, 14902, 1012, 2016, 4136, 2033, 2008, 1045, 2123, 1521, 1056, 2298, 12853, 2007, 2026, 2606, 1996, 2126, 2009, 2003, 1998, 2008, 1045, 2323, 2729, 2062, 2055, 2026, 3311, 1012, 1024, 1011, 1029, 1045, 2428, 2123, 1521, 1056, 2215, 2000, 9483, 2026, 2606, 2138, 1045, 1521, 1049, 2667, 2000, 8980, 2026, 3019, 15390, 1006, 2008, 2003, 2070, 4666, 1997, 1017, 2497, 1998, 1017, 2278, 1007, 1012, 2023, 2733, 2016, 2716, 2014, 6271, 2852, 3771, 1998, 2014, 3707, 1998, 2409, 2033, 2008, 2016, 2052, 2066, 2000, 2156, 2026, 2606, 3442, 1012, 1045, 2409, 2014, 2008, 1045, 2134, 1521, 1056, 2066, 2000, 28568, 2026, 2606, 1998, 2016, 3880, 2008, 1045, 2001, 2205, 13971, 1998, 2323, 3046, 2047, 13606, 27983, 2015, 1006, 2011, 13606, 27983, 2015, 2016, 2965, 3442, 2606, 1010, 2011, 1996, 2126, 1007, 1012, 1045, 2113, 1045, 2298, 6135, 2367, 2007, 3442, 2606, 1010, 2021, 1045, 2066, 2026, 17546, 2606, 1012, 1024, 7639, 6279, 1024, 1996, 6057, 2518, 2003, 2008, 2016, 2038, 17546, 2606, 2205, 1010, 2021, 28568, 2015, 2009, 1012, 1045, 2228, 2016, 4122, 2033, 2079, 1996, 2168, 2518, 2016, 2515, 1010, 2021, 2008, 2003, 2074, 2025, 2026, 2452, 1997, 5572, 1012, 2065, 2016, 4122, 2000, 2689, 2014, 2606, 14902, 2008, 1521, 1055, 2014, 2449, 1010, 2021, 1045, 2123, 1521, 1056, 9120, 2008, 2785, 1997, 7928, 2055, 2026, 3311, 1012, 1024, 4854, 2475, 1024, 1014, 7928, 3398, 1045, 2428, 2228, 2016, 2003, 3262, 14026, 2000, 2017, 1037, 2217, 1997, 2841, 1010, 2016, 2003, 2036, 4760, 2014, 2219, 12024, 2011, 4129, 2017, 2055, 2009, 1012, 2045, 2003, 2498, 3308, 2007, 2048, 2814, 4760, 2125, 2037, 5426, 2011, 23885, 7221, 17989, 2055, 3209, 1012, 2074, 4009, 2115, 2240, 1010, 2130, 2011, 14026, 2008, 1996, 2119, 1997, 2017, 2444, 2362, 2005, 2085, 1010, 2021, 2045, 2003, 2053, 3114, 2008, 2593, 1997, 2017, 2323, 8688, 2115, 3265, 3012, 1012, 26114, 1010, 2695, 2067, 2007, 2582, 2831, 1012, 2017, 2024, 2157, 1012, 1996, 2279, 2051, 2016, 6592, 2242, 2066, 2008, 1045, 2323, 25037, 2026, 18394, 1998, 2292, 2014, 2113, 2008, 2096, 2016, 2003, 2025, 3308, 2138, 2016, 28568, 2015, 2014, 2606, 1010, 1045, 1521, 1049, 2025, 3308, 2593, 2138, 1045, 2215, 2000, 2562, 3067, 3019, 1012, 2672, 2008, 2126, 2016, 2097, 3305, 2008, 2025, 2296, 17546, 2606, 2611, 4122, 2000, 28568, 2037, 2606, 1998, 2008, 17546, 2987, 1521, 1056, 9352, 2965, 4895, 17699, 9072, 1012, 1024, 7877, 2487, 1024, 2115, 18328, 4165, 2066, 2026, 2388, 1011, 1011, 2200, 15703, 1012, 1045, 5223, 2043, 2111, 2507, 4895, 19454, 28775, 3064, 2606, 6040, 2030, 10740, 1012, 2054, 2016, 2056, 2001, 2200, 12726, 1012, 1996, 2279, 2051, 2016, 7545, 2009, 2039, 2074, 2425, 2014, 7933, 2008, 2017, 2123, 1005, 1056, 2215, 2000, 4929, 2115, 2606, 3442, 1998, 2000, 2025, 3288, 2009, 2039, 4902, 1012, 2009, 3138, 1037, 2844, 2450, 2000, 2600, 3019, 2606, 2204, 2606, 2003, 4550, 1010, 7965, 2606, 7539, 1997, 1996, 3091, 1010, 3609, 1010, 2030, 14902, 999, 999, 2017, 2113, 1010, 2043, 1045, 3191, 2023, 11689, 1010, 1045, 2001, 3241, 2055, 2023, 2801, 2008, 1005, 3442, 2606, 2003, 2062, 12853, 1010, 1005, 1998, 1045, 2318, 3241, 2055, 2931, 2694, 2739, 24674, 1998, 4633, 2308, 1010, 2119, 2006, 2334, 1998, 2120, 2739, 1012, 2027, 2035, 2031, 6293, 1011, 3442, 2606, 999, 1024, 4854, 2581, 1024, 1006, 2024, 2045, 2151, 11790, 2041, 2045, 1029, 1007, 1999, 2694, 2739, 1010, 2017, 2031, 2000, 2022, 2464, 2004, 2658, 1998, 23411, 1012, 1045, 1005, 1040, 6655, 2008, 2038, 2242, 2000, 2079, 2007, 1996, 2035, 1996, 3442, 2606, 1012, 1998, 1996, 2755, 2008, 2027, 2035, 2031, 3442, 2606, 2566, 22327, 20598, 2015, 1996, 9366, 1012, 2054, 2065, 2017, 2024, 1037, 17546, 2611, 2040, 4122, 2000, 9510, 1999, 3743, 8083, 1029, 1045, 3984, 2017, 1005, 1040, 2074, 2031, 2000, 2507, 2039, 2115, 14484, 1998, 28568, 2115, 2606, 21660, 2135, 1012, 1012, 1012, 2054, 1037, 9467, 1012, 2017, 2113, 1010, 2043, 1045, 3191, 2023, 11689, 1010, 1045, 2001, 3241, 2055, 2023, 2801, 2008, 1005, 3442, 2606, 2003, 2062, 12853, 1010, 1005, 1998, 1045, 2318, 3241, 2055, 2931, 2694, 2739, 24674, 1998, 4633, 2308, 1010, 2119, 2006, 2334, 1998, 2120, 2739, 1012, 2027, 2035, 2031, 6293, 1011, 3442, 2606, 999, 1024, 4854, 2581, 1024, 1006, 2024, 2045, 2151, 11790, 2041, 2045, 1029, 1007, 1999, 2694, 2739, 1010, 2017, 2031, 2000, 2022, 2464, 2004, 2658, 1998, 23411, 1012, 1045, 1005, 1040, 6655, 2008, 2038, 2242, 2000, 2079, 2007, 1996, 2035, 1996, 3442, 2606, 1012, 1998, 1996, 2755, 2008, 2027, 2035, 2031, 3442, 2606, 2566, 22327, 20598, 2015, 1996, 9366, 1012, 2054, 2065, 2017, 2024, 1037, 17546, 2611, 2040, 4122, 2000, 9510, 1999, 3743, 8083, 1029, 1045, 3984, 2017, 1005, 1040, 2074, 2031, 2000, 2507, 2039, 2115, 14484, 1998, 28568, 2115, 2606, 21660, 2135, 1012, 1012, 1012, 2054, 1037, 9467, 1012, 2026, 2767, 2040, 2318, 2041, 1999, 2023, 2492, 1998, 2003, 1037, 2350, 17546, 2611, 1010, 2001, 2409, 2008, 2014, 1000, 3376, 14484, 1000, 2020, 2205, 2172, 1997, 1037, 14836, 1998, 2008, 3442, 2606, 2001, 1000, 5810, 1000, 1998, 2106, 2025, 1000, 4374, 2151, 3086, 2006, 2049, 2219, 1012, 1000, 2054, 2079, 2017, 2035, 2228, 1029, 1029, 2001, 2023, 2711, 2074, 2108, 8041, 1998, 1013, 2030, 22824, 2030, 2003, 2045, 2242, 2000, 2009, 1029, 2003, 2256, 2606, 2061, 1000, 3376, 1998, 25012, 1000, 1006, 2064, 1005, 1056, 2360, 1045, 2052, 2568, 2108, 2649, 1999, 2008, 2126, 1012, 1012, 1012, 1007, 2008, 2009, 2052, 2202, 1996, 3579, 2125, 1997, 1996, 2739, 1029, 1029, 2008, 2015, 1037, 2502, 2184, 1011, 1018, 1012, 17546, 2606, 2003, 2061, 25012, 2009, 2064, 2191, 1996, 9718, 2514, 15055, 2000, 10364, 2037, 3086, 3031, 2009, 1010, 19960, 10383, 2066, 1012, 2036, 2065, 3306, 11327, 2001, 2517, 1999, 25613, 3441, 2008, 3881, 19240, 2015, 2000, 4507, 1010, 2065, 2009, 2001, 1010, 2059, 2054, 2052, 2008, 2360, 2055, 1996, 3418, 13176, 3193, 1997, 17546, 2606, 1010, 3342, 1010, 2027, 2018, 3689, 1998, 4038, 1999, 2037, 14546, 1010, 2367, 6466, 2084, 2651, 1012, 2061, 2123, 1005, 1056, 2022, 6517, 2065, 19960, 10383, 2131, 19668, 1012, 1045, 3745, 2019, 4545, 2007, 1037, 18328, 2008, 2003, 1037, 2606, 2358, 8516, 2923, 1012, 1996, 2518, 2003, 2008, 2016, 2003, 2467, 4129, 2033, 2008, 1045, 2323, 3046, 1037, 9483, 2121, 2030, 2060, 3949, 2000, 8081, 2026, 2606, 14902, 1012, 2016, 4136, 2033, 2008, 1045, 2123, 1521, 1056, 2298, 12853, 2007, 2026, 2606, 1996, 2126, 2009, 2003, 1998, 2008, 1045, 2323, 2729, 2062, 2055, 2026, 3311, 1012, 1024, 1011, 1029, 1045, 2428, 2123, 1521, 1056, 2215, 2000, 9483, 2026, 2606, 2138, 1045, 1521, 1049, 2667, 2000, 8980, 2026, 3019, 15390, 1006, 2008, 2003, 2070, 4666, 1997, 1017, 2497, 1998, 1017, 2278, 1007, 1012, 2023, 2733, 2016, 2716, 2014, 6271, 2852, 3771, 1998, 2014, 3707, 1998, 2409, 2033, 2008, 2016, 2052, 2066, 2000, 2156, 2026, 2606, 3442, 1012, 1045, 2409, 2014, 2008, 1045, 2134, 1521, 1056, 2066, 2000, 28568, 2026, 2606, 1998, 2016, 3880, 2008, 1045, 2001, 2205, 13971, 1998, 2323, 3046, 2047, 13606, 27983, 2015, 1006, 2011, 13606, 27983, 2015, 2016, 2965, 3442, 2606, 1010, 2011, 1996, 2126, 1007, 1012, 1045, 2113, 1045, 2298, 6135, 2367, 2007, 3442, 2606, 1010, 2021, 1045, 2066, 2026, 17546, 2606, 1012, 1024, 7639, 6279, 1024, 1996, 6057, 2518, 2003, 2008, 2016, 2038, 17546, 2606, 2205, 1010, 2021, 28568, 2015, 2009, 1012, 1045, 2228, 2016, 4122, 2033, 2079, 1996, 2168, 2518, 2016, 2515, 1010, 2021, 2008, 2003, 2074, 2025, 2026, 2452, 1997, 5572, 1012, 2065, 2016, 4122, 2000, 2689, 2014, 2606, 14902, 2008, 1521, 1055, 2014, 2449, 1010, 2021, 1045, 2123, 1521, 1056, 9120, 2008, 2785, 1997, 7928, 2055, 2026, 3311, 1012, 1024, 4854, 2475, 1024, 4165, 2066, 2016, 2003, 2667, 2000, 17607, 2014, 2219, 17546, 11150, 2006, 2017, 1012, 1037, 2843, 1997, 1996, 2335, 1045, 5060, 2009, 1005, 1055, 1996, 2111, 2040, 2024, 1999, 15390, 14920, 3209, 2040, 2024, 2031, 1996, 5221, 3291, 2007, 2026, 2606, 1012, 2016, 5791, 2038, 2070, 13749, 27361, 3471, 2007, 17546, 2606, 1998, 2043, 2016, 3504, 2012, 2115, 2606, 2016, 2064, 1005, 1056, 9120, 1996, 14484, 2005, 2054, 2027, 2024, 1012, 1998, 9826, 1010, 2008, 4165, 3599, 2066, 2242, 1037, 2358, 8516, 2923, 2052, 2360, 1012, 2087, 2606, 2358, 8516, 5130, 1045, 2031, 2777, 2024, 2025, 4986, 2007, 1996, 2740, 1997, 2606, 1010, 2027, 2024, 4986, 2007, 1996, 2806, 1997, 2606, 1012, 1998, 2037, 3105, 2052, 2022, 15832, 2065, 3071, 2066, 2129, 2037, 2606, 2246, 8100, 1012, 2016, 2003, 2559, 2041, 2005, 2014, 2190, 3037, 2785, 1997, 2066, 9907, 3316, 1010, 2131, 2017, 23042, 1012, 2017, 2071, 2022, 1037, 4022, 20116, 8162, 3401, 1997, 6599, 2005, 2116, 2086, 1006, 2127, 2115, 2606, 2064, 1005, 1056, 2202, 4902, 2008, 2003, 1007, 2040, 2071, 2272, 2000, 12530, 2006, 2014, 2005, 1037, 4257, 3707, 1013, 6271, 2041, 1013, 9483, 2121, 5219, 2039, 2000, 2296, 1016, 1011, 1022, 3134, 1012, 2065, 2016, 21645, 1999, 2437, 2017, 2514, 2115, 2606, 2003, 2025, 3492, 1010, 12853, 1010, 7218, 2004, 2009, 2003, 2008, 1005, 1055, 2074, 2062, 1002, 1002, 1002, 2005, 2014, 2030, 2014, 3068, 1012, 11504, 2017, 2123, 1005, 1056, 5430, 1010, 2191, 2009, 2200, 3154, 2000, 2014, 2008, 2065, 2016, 2987, 1005, 1056, 2066, 2115, 2606, 1010, 2009, 1005, 1055, 1037, 2204, 2518, 2009, 1005, 1055, 2025, 2014, 2606, 1012, 1998, 2008, 2014, 7928, 2191, 2017, 8796, 2017, 2066, 2115, 2606, 2074, 2004, 2009, 2003, 1012, 1996, 6517, 2112, 2003, 2045, 2003, 1037, 17546, 2041, 2045, 2040, 2003, 2183, 2000, 2991, 2005, 2023, 1010, 2016, 2003, 2183, 2041, 2046, 1996, 2088, 1997, 2606, 11090, 2015, 1998, 2097, 2763, 28568, 2035, 2014, 17546, 7846, 2612, 1997, 5094, 2068, 2000, 9979, 2037, 14484, 1012, 2017, 2113, 1010, 2043, 1045, 3191, 2023, 11689, 1010, 1045, 2001, 3241, 2055, 2023, 2801, 2008, 1005, 3442, 2606, 2003, 2062, 12853, 1010, 1005, 1998, 1045, 2318, 3241, 2055, 2931, 2694, 2739, 24674, 1998, 4633, 2308, 1010, 2119, 2006, 2334, 1998, 2120, 2739, 1012, 2027, 2035, 2031, 6293, 1011, 3442, 2606, 999, 1024, 4854, 2581, 1024, 1006, 2024, 2045, 2151, 11790, 2041, 2045, 1029, 1007, 1999, 2694, 2739, 1010, 2017, 2031, 2000, 2022, 2464, 2004, 2658, 1998, 23411, 1012, 1045, 1005, 1040, 6655, 2008, 2038, 2242, 2000, 2079, 2007, 1996, 2035, 1996, 3442, 2606, 1012, 1998, 1996, 2755, 2008, 2027, 2035, 2031, 3442, 2606, 2566, 22327, 20598, 2015, 1996, 9366, 1012, 2054, 2065, 2017, 2024, 1037, 17546, 2611, 2040, 4122, 2000, 9510, 1999, 3743, 8083, 1029, 1045, 3984, 2017, 1005, 1040, 2074, 2031, 2000, 2507, 2039, 2115, 14484, 1998, 28568, 2115, 2606, 21660, 2135, 1012, 1012, 1012, 2054, 1037, 9467, 1012, 2026, 2767, 2040, 2318, 2041, 1999, 2023, 2492, 1998, 2003, 1037, 2350, 17546, 2611, 1010, 2001, 2409, 2008, 2014, 1000, 3376, 14484, 1000, 2020, 2205, 2172, 1997, 1037, 14836, 1998, 2008, 3442, 2606, 2001, 1000, 5810, 1000, 1998, 2106, 2025, 1000, 4374, 2151, 3086, 2006, 2049, 2219, 1012, 1000, 2054, 2079, 2017, 2035, 2228, 1029, 1029, 2001, 2023, 2711, 2074, 2108, 8041, 1998, 1013, 2030, 22824, 2030, 2003, 2045, 2242, 2000, 2009, 1029, 2003, 2256, 2606, 2061, 1000, 3376, 1998, 25012, 1000, 1006, 2064, 1005, 1056, 2360, 1045, 2052, 2568, 2108, 2649, 1999, 2008, 2126, 1012, 1012, 1012, 1007, 2008, 2009, 2052, 2202, 1996, 3579, 2125, 1997, 1996, 2739, 1029, 1029, 2065, 1037, 2001, 1037, 2739, 8133, 1010, 1045, 2052, 2031, 2000, 2031, 2019, 1000, 8133, 24405, 1000, 1012, 2045, 1005, 1055, 2053, 2126, 1045, 2052, 28568, 2026, 2606, 1012, 2009, 2052, 2022, 6057, 2065, 2014, 2767, 5078, 2019, 1000, 8133, 24405, 1000, 1010, 1998, 12428, 2009, 2125, 2090, 3138, 1998, 3184, 2041, 1996, 14484, 1012, 1012, 8840, 2140, 2012, 2560, 2000, 2033, 2009, 2052, 2022, 1012, 1012, 1000, 2067, 2000, 2017, 3960, 1000, 1012, 2017, 2113, 1010, 2043, 1045, 3191, 2023, 11689, 1010, 1045, 2001, 3241, 2055, 2023, 2801, 2008, 1005, 3442, 2606, 2003, 2062, 12853, 1010, 1005, 1998, 1045, 2318, 3241, 2055, 2931, 2694, 2739, 24674, 1998, 4633, 2308, 1010, 2119, 2006, 2334, 1998, 2120, 2739, 1012, 2027, 2035, 2031, 6293, 1011, 3442, 2606, 999, 1024, 4854, 2581, 1024, 1006, 2024, 2045, 2151, 11790, 2041, 2045, 1029, 1007, 1999, 2694, 2739, 1010, 2017, 2031, 2000, 2022, 2464, 2004, 2658, 1998, 23411, 1012, 1045, 1005, 1040, 6655, 2008, 2038, 2242, 2000, 2079, 2007, 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, 1015, 1012, 4281, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2004, 1037, 4942, 13874, 1997, 3806, 13181, 2229, 7361, 3270, 3351, 2389, 25416, 25148, 4295, 1006, 16216, 4103, 1007, 1010, 3904, 7352, 3512, 25416, 25148, 4295, 1006, 11265, 4103, 1007, 2003, 1037, 4295, 1010, 2007, 2029, 5022, 9015, 25416, 25148, 1011, 3141, 8030, 3303, 2011, 3806, 12412, 8417, 1999, 12314, 2075, 2046, 9686, 7361, 3270, 12349, 1010, 2021, 3768, 1996, 2203, 2891, 26461, 14163, 13186, 2389, 4053, 1997, 9686, 7361, 3270, 12349, 1032, 1031, 1031, 1030, 29491, 1033, 1032, 1033, 1010, 1998, 2009, 6115, 2005, 2753, 1003, 2000, 3963, 1003, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1997, 16216, 4103, 1012, 1996, 26835, 19009, 1997, 11265, 4103, 2003, 8552, 1998, 2038, 2025, 2042, 3243, 3154, 1012, 20843, 10216, 24054, 1006, 4903, 2072, 1007, 2003, 2411, 20694, 2138, 1997, 2087, 11265, 4103, 5022, 1032, 1005, 2659, 2166, 9967, 1010, 3532, 3637, 3737, 1010, 1998, 8360, 9686, 7361, 3270, 3351, 2389, 10840, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1010, 1031, 1030, 1038, 2549, 1033, 1032, 1033, 1012, 2007, 2784, 12369, 2046, 11265, 4103, 1010, 5177, 2110, 1010, 25292, 19357, 2140, 14639, 1010, 1998, 1996, 3276, 2090, 2068, 2031, 2042, 3825, 2062, 1998, 2062, 3086, 1999, 1996, 14404, 1997, 11265, 4103, 1012, 2913, 2031, 3491, 2008, 4997, 5177, 2110, 2064, 3426, 25292, 19357, 2140, 23760, 5054, 28032, 7730, 2083, 1996, 4167, 1011, 9535, 8123, 1010, 1998, 1996, 5022, 1032, 1005, 9686, 7361, 3270, 3351, 2389, 23760, 5054, 28032, 7730, 2003, 3141, 2000, 1996, 12411, 28032, 3989, 1997, 9113, 21306, 1010, 16492, 11601, 1010, 1998, 18439, 2415, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1011, 1011, 1031, 1030, 1038, 2581, 1033, 1032, 1033, 1012, 2522, 28228, 24310, 18981, 10606, 8287, 5387, 1006, 13675, 2546, 1007, 1010, 1050, 1011, 25003, 1011, 1040, 1011, 2004, 19362, 12259, 10769, 1006, 13221, 2850, 1011, 1054, 1007, 1010, 1998, 9415, 1052, 1006, 11867, 1007, 2089, 5589, 1999, 9686, 7361, 3270, 3351, 2389, 12411, 28032, 3989, 1999, 1996, 4167, 1010, 16492, 11601, 12759, 7109, 1010, 1998, 9686, 7361, 3270, 12349, 1999, 2735, 1012, 1996, 12233, 1997, 16216, 4103, 1999, 2256, 2902, 1010, 2004, 1996, 1000, 5940, 2274, 1011, 2095, 1000, 3145, 12233, 1997, 1996, 2110, 3447, 1997, 3151, 2822, 4200, 1010, 2038, 7422, 2000, 1996, 6612, 1998, 6388, 2913, 1997, 11265, 4103, 2005, 1037, 2146, 2051, 1998, 2179, 18454, 5289, 2002, 19845, 12604, 9307, 1006, 22214, 2232, 27767, 1007, 2081, 1037, 2204, 3466, 2006, 11265, 4103, 5022, 1012, 1999, 2344, 2000, 25037, 1996, 3276, 2090, 11265, 4103, 1998, 7603, 1998, 1996, 7337, 1997, 2895, 1997, 22214, 2232, 27767, 2006, 11265, 4103, 1010, 1037, 11265, 4103, 9350, 2944, 2001, 2511, 2006, 1996, 3978, 1997, 3653, 3367, 20217, 1998, 8824, 7551, 1012, 1996, 13675, 2546, 5250, 1997, 1996, 1044, 22571, 14573, 7911, 7606, 1998, 1996, 15099, 25022, 3070, 9869, 17132, 1006, 16222, 1007, 1010, 1996, 13221, 7662, 2487, 5250, 1997, 1996, 16492, 11601, 1010, 1996, 11867, 5250, 3670, 1999, 1996, 14163, 13186, 2050, 1997, 15965, 9686, 7361, 3270, 12349, 1010, 1998, 1996, 8636, 2051, 1997, 1996, 9350, 2944, 2020, 11156, 2000, 8849, 1996, 3466, 1997, 22214, 2232, 27767, 1998, 2000, 3073, 1996, 6388, 3978, 2005, 2049, 6612, 4646, 1012, 1016, 1012, 4475, 1998, 4725, 1063, 1001, 10819, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1016, 1012, 1015, 1012, 6388, 4176, 1063, 1001, 10819, 2475, 1012, 1015, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2871, 7965, 3287, 15536, 14117, 11432, 1010, 4793, 1020, 3134, 1010, 15243, 3263, 29657, 11387, 20372, 1010, 4550, 3694, 1010, 2020, 8127, 2011, 8344, 19840, 5911, 4111, 2522, 1012, 1010, 5183, 1012, 2027, 2020, 5224, 2012, 2322, 1081, 1016, 7737, 2278, 1010, 2753, 1081, 2184, 1003, 5816, 18213, 1010, 2104, 1037, 2260, 1011, 1044, 2422, 1024, 2260, 1011, 1044, 2601, 5402, 1010, 1998, 2037, 11687, 4667, 2018, 2042, 26261, 15928, 3550, 2011, 2152, 3778, 1012, 1996, 11432, 2018, 2489, 3229, 2000, 11112, 2300, 1998, 1037, 3671, 3115, 20209, 8738, 1998, 2027, 2052, 2022, 7431, 1999, 2122, 4128, 2005, 2012, 2560, 1015, 2733, 2077, 1996, 7551, 1012, 1016, 1012, 1016, 1012, 5850, 1063, 1001, 10819, 2475, 1012, 1016, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 22214, 2232, 27767, 2001, 2081, 1997, 1999, 7068, 26568, 2121, 1010, 2417, 10362, 1010, 1054, 4048, 6844, 2863, 8872, 3775, 10521, 1010, 23408, 7716, 2401, 21766, 2696, 19281, 14536, 2050, 1010, 14580, 1010, 10250, 16567, 2094, 9530, 7507, 8115, 6679, 1010, 10958, 4305, 2595, 20934, 10814, 9496, 1010, 1054, 4048, 6844, 2863, 18342, 9305, 2483, 1010, 16130, 1011, 17776, 10424, 14194, 5809, 3871, 19001, 1010, 10424, 14194, 5809, 15240, 16778, 2072, 1010, 1054, 4048, 6844, 2863, 26572, 7446, 10450, 1010, 1998, 10958, 4305, 2595, 5622, 15549, 14778, 19001, 1998, 2001, 2550, 2011, 20613, 25811, 26216, 2290, 13859, 2522, 1012, 1010, 5183, 1012, 1996, 6463, 1997, 7584, 1997, 1996, 4319, 9998, 4270, 2090, 9350, 1998, 2529, 2001, 1020, 1012, 1017, 1032, 1031, 1031, 1030, 1038, 2620, 1033, 1032, 1033, 1010, 2061, 1996, 3815, 1997, 1996, 12604, 16308, 2734, 2001, 2340, 1012, 5718, 2290, 1013, 4705, 1087, 1040, 1012, 1996, 12604, 16308, 2020, 3816, 2046, 1996, 5576, 1998, 8250, 1999, 1996, 18097, 2012, 1018, 7737, 2278, 2077, 2224, 1012, 1996, 3223, 13004, 1997, 10958, 4783, 18098, 10936, 9890, 13365, 4607, 2594, 1011, 15026, 17596, 1010, 2550, 2011, 12909, 2078, 28236, 2063, 13859, 2522, 1012, 1010, 5183, 1012, 1010, 2001, 1015, 1012, 3770, 24798, 1013, 4705, 1087, 1040, 2429, 2000, 1996, 2168, 6463, 1997, 7584, 1012, 1996, 17596, 2020, 8314, 1999, 1996, 14866, 10698, 5422, 2300, 1998, 8250, 2012, 1018, 7737, 2278, 1012, 1016, 1012, 1017, 1012, 2128, 4270, 7666, 1998, 6388, 14709, 1063, 1001, 10819, 2475, 1012, 1017, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2128, 4270, 7666, 1024, 3424, 1011, 13221, 7662, 2487, 27781, 1006, 10442, 26572, 20464, 16026, 27781, 2000, 13221, 7662, 2487, 11113, 25746, 16576, 2581, 1010, 2843, 1024, 24665, 2683, 26224, 2575, 2475, 1011, 1022, 1007, 1010, 3424, 1011, 2522, 28228, 24310, 18981, 2378, 8287, 5387, 27781, 1006, 10442, 26572, 20464, 16026, 27781, 2000, 2522, 28228, 24310, 18981, 2378, 8287, 5387, 11113, 2620, 21057, 2487, 1010, 2843, 1024, 24665, 21486, 20842, 1011, 4090, 1007, 1010, 1998, 3424, 1011, 9415, 1052, 27781, 1006, 10442, 26572, 20464, 16026, 27781, 2000, 9415, 1052, 11113, 17465, 21084, 16932, 1010, 2843, 1024, 24665, 14142, 2692, 22610, 2629, 1011, 1015, 1007, 2020, 8127, 2011, 5925, 3286, 1010, 2866, 1012, 16012, 7629, 23943, 3064, 13555, 3424, 1011, 10442, 1045, 13871, 1010, 13555, 3424, 1011, 10442, 1045, 13871, 1011, 4906, 2278, 1010, 1998, 13555, 20194, 1006, 6315, 8331, 1007, 2020, 8127, 2011, 10514, 2080, 21110, 25945, 2974, 2522, 1012, 1010, 5183, 1012, 1010, 7211, 1010, 2859, 1012, 4830, 2497, 3609, 2128, 4270, 3372, 8934, 1006, 4830, 2497, 1011, 18540, 2487, 1007, 2001, 8127, 2011, 21510, 2078, 20353, 2458, 2522, 1012, 1010, 5183, 1012, 1010, 11865, 9791, 1010, 2859, 1012, 1040, 1011, 10424, 14194, 22282, 2001, 8127, 2011, 17602, 16012, 15869, 2974, 2522, 1012, 1010, 5183, 1012, 1010, 8344, 1010, 2859, 1012, 26572, 14192, 19058, 11106, 18124, 1998, 10381, 10626, 2389, 26018, 2618, 2020, 8127, 2011, 17137, 16405, 5072, 2522, 1012, 1010, 5183, 1012, 1010, 8344, 1010, 2859, 1012, 1060, 12844, 2638, 1998, 2019, 10536, 22196, 2271, 22886, 2020, 8127, 2011, 18816, 5654, 21882, 8360, 5072, 2522, 1012, 1010, 5183, 1012, 1010, 28091, 1010, 2859, 1012, 6388, 14709, 1024, 2484, 1011, 3178, 9686, 7361, 3270, 3351, 2389, 6887, 1011, 17727, 29605, 8080, 1006, 26236, 7274, 1011, 28667, 1011, 8318, 2475, 1007, 1998, 10903, 4937, 27065, 2121, 1006, 25416, 3461, 2015, 1043, 1011, 6070, 18139, 2581, 1010, 2843, 1024, 20827, 21084, 2581, 2050, 1007, 2020, 3024, 2011, 2966, 10903, 3001, 1038, 1012, 1058, 1012, 1010, 4549, 1012, 2152, 3177, 13184, 2099, 9358, 3089, 11263, 3351, 1017, 1011, 2324, 2243, 2001, 3024, 2011, 13201, 1010, 2762, 1012, 14934, 2793, 2005, 21933, 10626, 3989, 1062, 2094, 1011, 5345, 12376, 1998, 9808, 6895, 4571, 4263, 2020, 3024, 2011, 18816, 4115, 21388, 2121, 6602, 5814, 2522, 1012, 1010, 5183, 1012, 1010, 28091, 1010, 2859, 1012, 5377, 4860, 8060, 12943, 6590, 4263, 2001, 3024, 2011, 4291, 9805, 2671, 6602, 4713, 1010, 28091, 1010, 2859, 1012, 4816, 5703, 2033, 14142, 2692, 2475, 2102, 1013, 6185, 2001, 3024, 2011, 2777, 9286, 13163, 6602, 2522, 1012, 1010, 5183, 1012, 1010, 8344, 1010, 2859, 1012, 2300, 25710, 1011, 5377, 4860, 4297, 19761, 4263, 28177, 2361, 1011, 6205, 16086, 18552, 2001, 3024, 2011, 8945, 15990, 2078, 16012, 7076, 24456, 4765, 2522, 1012, 1010, 5183, 1012, 1010, 8344, 1010, 2859, 1012, 2668, 18423, 8316, 2001, 3024, 2011, 26367, 9871, 11775, 1010, 2762, 1012, 26947, 3540, 24635, 1040, 2213, 22907, 8889, 2361, 1010, 5869, 1058, 2549, 1012, 1014, 1010, 1998, 26947, 3540, 1053, 10105, 1058, 2509, 3746, 4106, 4007, 2020, 3024, 2011, 26947, 3540, 1010, 2762, 1012, 3746, 1011, 4013, 4606, 1020, 1012, 1014, 3746, 4106, 4007, 2001, 3024, 2011, 2865, 16941, 7159, 6558, 1010, 3915, 1012, 1016, 1012, 1018, 1012, 4111, 19765, 1010, 2944, 5069, 1010, 1998, 4319, 3447, 1063, 1001, 10819, 2475, 1012, 1018, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2871, 15536, 14117, 11432, 2020, 18154, 4055, 2046, 1019, 2967, 1024, 2491, 2177, 1010, 2944, 2177, 1010, 3671, 28413, 1006, 24978, 1007, 2177, 1010, 22214, 2232, 27767, 2177, 1010, 1998, 10958, 4783, 18098, 10936, 9890, 2177, 1998, 2296, 1022, 11432, 2020, 1999, 2028, 2177, 1012, 1996, 2491, 2177, 2001, 2025, 5845, 1012, 1996, 2944, 2177, 2109, 1996, 4118, 1997, 23564, 3148, 2818, 3211, 15088, 2912, 1998, 2771, 28505, 15217, 1032, 1031, 1031, 1030, 1038, 2683, 1033, 1010, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 2000, 7438, 1996, 11432, 2007, 10424, 14194, 22282, 13822, 1998, 5177, 6911, 1012, 2027, 2020, 2445, 2489, 10424, 14194, 22282, 2300, 1006, 3263, 2290, 1013, 1048, 1007, 1010, 2872, 1999, 19355, 27157, 1010, 1998, 26275, 20018, 2000, 1996, 2504, 1997, 1996, 8418, 8458, 9314, 2832, 1999, 1037, 2300, 7198, 1997, 2570, 1081, 1016, 7737, 2278, 2005, 1016, 2847, 1037, 2154, 2005, 7142, 2654, 2420, 1012, 1996, 24978, 2177, 1010, 22214, 2232, 27767, 2177, 1010, 1998, 10958, 4783, 18098, 10936, 9890, 2177, 2020, 5845, 2004, 1996, 2944, 2177, 1006, 2119, 10424, 14194, 22282, 13822, 1998, 5177, 6911, 1007, 1998, 2059, 11721, 3567, 5999, 2007, 1996, 7978, 5850, 2013, 1996, 6286, 2000, 1996, 15538, 2154, 1997, 1996, 7551, 1010, 1016, 2335, 1037, 2154, 1010, 1015, 19968, 2566, 2531, 2290, 1999, 3635, 2169, 2051, 1012, 1016, 1012, 1019, 1012, 7099, 3074, 1063, 1001, 10819, 2475, 1012, 1019, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2044, 2184, 1003, 10381, 10626, 2389, 26018, 2618, 1006, 1014, 1012, 1017, 19968, 2566, 2531, 2290, 1999, 3635, 1007, 2005, 2784, 9617, 25344, 1010, 1996, 11432, 2020, 2441, 1996, 28717, 1998, 2020, 12889, 4937, 27065, 2545, 2083, 2037, 2187, 18834, 7277, 4244, 2000, 1996, 22316, 20118, 13320, 2015, 1012, 2057, 3013, 2037, 2157, 8740, 7277, 4244, 1010, 1998, 2012, 1996, 2168, 2051, 1014, 1012, 1023, 1003, 24978, 5576, 2055, 3263, 19875, 2001, 2109, 2000, 15544, 12325, 1996, 2668, 1997, 2037, 2878, 4230, 2011, 25227, 2566, 20523, 2127, 2037, 11290, 2015, 2020, 3294, 2317, 1998, 1996, 24978, 5576, 2041, 12314, 2098, 2013, 2037, 2157, 8740, 7277, 4244, 2001, 3609, 3238, 1012, 1996, 3653, 3597, 18861, 2290, 1018, 1003, 26572, 14192, 19058, 11106, 18124, 4964, 5576, 1006, 6887, 1021, 1012, 1018, 1007, 3156, 19875, 2001, 2109, 2005, 20226, 2566, 20523, 2005, 2055, 2028, 3178, 2127, 2037, 10726, 1998, 16492, 24551, 2150, 2524, 1998, 2059, 2057, 2165, 2037, 16492, 9214 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10651, 6866, 2006, 2340, 1013, 2385, 1013, 2760, 1024, 1037, 1057, 1012, 1055, 1012, 12478, 2038, 21089, 3936, 2008, 6426, 4632, 22043, 2038, 2042, 10082, 5338, 2011, 1996, 1057, 1012, 1055, 1012, 2231, 1010, 19195, 2023, 3189, 1012, 2044, 9744, 13675, 2098, 11261, 3253, 16360, 1012, 4205, 8040, 25798, 2019, 4357, 2007, 4632, 22043, 1010, 8040, 25798, 4593, 3936, 2149, 3488, 2000, 27427, 2594, 2102, 1998, 4469, 23194, 2063, 1996, 15536, 3211, 19738, 5705, 3910, 2011, 4098, 14154, 3672, 8865, 2006, 2089, 2603, 1010, 7423, 1998, 2938, 15735, 3367, 9744, 13675, 2098, 11261, 2777, 2007, 1996, 3095, 1997, 16360, 1012, 4205, 8040, 25798, 1010, 1996, 5464, 7672, 2006, 1996, 2160, 4454, 2837, 1998, 2139, 13743, 3003, 1997, 1996, 2160, 1521, 1055, 4812, 2046, 2845, 19960, 14423, 1012, 13675, 2098, 11261, 2649, 1996, 10287, 2000, 2033, 2847, 2044, 2010, 3116, 1012, 2429, 2000, 13675, 2098, 11261, 1010, 8040, 25798, 7303, 1996, 4357, 2044, 1037, 4766, 11834, 2007, 8040, 25798, 2012, 1996, 2317, 2160, 2811, 1998, 11370, 2015, 2523, 16122, 2197, 3204, 1012, 2019, 10373, 2013, 2160, 4454, 2837, 3026, 9517, 10881, 2665, 2000, 13675, 2098, 11261, 1006, 2917, 1007, 16691, 8040, 25798, 1521, 1055, 3037, 1999, 1996, 8087, 1012, 8040, 25798, 2001, 4699, 7580, 1999, 7215, 3350, 2000, 8945, 29576, 1996, 3607, 5867, 7984, 1997, 13675, 2098, 11261, 2004, 1037, 3595, 14975, 2090, 6426, 4632, 22043, 1010, 2040, 2038, 2042, 11180, 2302, 3350, 2011, 1996, 9915, 2004, 1037, 10420, 3097, 4454, 11412, 2738, 2084, 1037, 4988, 1010, 1998, 2280, 8398, 3049, 14895, 5074, 2962, 1012, 1006, 13675, 2098, 11261, 1010, 2019, 9413, 3367, 19927, 5482, 1997, 2962, 1998, 10768, 2099, 15338, 8175, 2005, 4632, 22043, 1521, 1055, 4071, 1010, 2001, 4942, 6873, 8189, 2098, 2197, 2281, 2011, 8040, 25798, 1012, 2002, 24959, 1996, 3587, 7450, 2012, 1996, 2051, 1007, 1012, 2021, 2320, 13675, 2098, 11261, 3369, 1999, 8040, 25798, 1521, 1055, 2436, 1010, 2002, 2741, 1996, 12295, 1521, 1055, 3095, 1999, 2019, 9223, 1516, 1998, 10317, 4297, 2239, 8159, 11638, 1516, 3257, 1012, 1523, 1045, 2409, 2068, 2093, 2335, 2008, 2720, 1012, 4632, 22043, 2003, 19863, 2075, 2000, 3113, 2007, 2032, 1010, 1524, 13675, 2098, 11261, 2056, 1012, 1523, 1998, 2065, 8040, 25798, 2003, 3809, 2002, 2064, 2131, 2023, 4933, 5985, 2039, 1012, 1045, 1521, 1049, 2074, 1037, 18092, 2000, 3066, 2007, 2023, 1012, 1998, 2027, 1031, 8040, 25798, 1521, 1055, 3095, 1033, 2074, 2938, 2045, 1998, 2056, 1010, 1520, 2092, 3264, 1012, 1521, 1045, 2056, 1010, 2065, 11296, 2253, 2000, 2859, 1010, 2065, 1996, 4589, 2158, 8398, 1521, 1055, 2183, 2000, 4420, 1010, 8040, 25798, 2038, 1996, 2395, 13675, 2098, 1517, 2175, 3113, 2007, 4632, 22043, 1012, 1524, 2048, 2420, 2101, 1010, 13675, 2098, 11261, 2001, 4778, 3031, 5796, 28957, 1521, 1055, 1523, 1996, 3786, 1524, 2007, 10488, 11463, 5677, 1012, 11463, 5677, 1998, 2010, 6443, 2018, 2053, 2801, 2008, 4632, 22043, 2018, 3253, 2000, 2022, 10263, 2011, 1996, 2160, 4454, 2837, 1012, 2066, 8040, 25798, 1010, 2027, 2020, 6414, 4699, 1999, 14107, 13675, 2098, 11261, 2005, 4751, 2006, 4806, 2090, 2962, 1998, 4632, 22043, 2008, 11013, 1996, 7984, 1997, 8398, 1011, 3607, 8902, 24117, 1012, 1523, 2027, 2031, 2019, 11376, 2012, 5796, 28957, 2008, 1521, 1055, 3424, 1011, 4632, 22043, 1010, 4013, 1011, 2162, 2114, 3607, 1010, 1524, 13675, 2098, 11261, 10783, 1012, 1523, 2027, 3653, 1011, 19374, 2033, 2138, 2027, 2288, 6091, 1010, 2021, 2027, 2921, 2087, 1997, 2054, 1045, 2018, 2000, 2360, 1012, 2061, 2054, 2035, 1996, 4933, 2055, 2962, 2106, 2001, 2507, 2033, 1037, 3382, 2000, 2831, 2055, 4632, 22043, 1012, 1524, 2043, 13675, 2098, 11261, 3936, 2010, 1523, 3595, 3260, 1524, 2000, 8040, 25798, 2000, 8116, 4632, 22043, 1521, 1055, 3749, 1997, 2019, 4357, 1010, 11463, 5677, 14831, 2007, 23819, 1012, 2002, 2165, 2000, 10474, 2000, 2270, 4697, 1996, 3749, 2008, 13675, 2098, 11261, 21362, 1010, 15870, 1037, 8669, 7514, 2013, 1996, 12295, 1521, 1055, 2436, 1024, 1523, 16360, 1012, 8040, 25798, 1521, 1055, 2436, 2074, 2435, 2149, 2023, 3433, 1024, 1010, 1524, 11463, 5677, 1056, 28394, 3064, 1012, 1523, 1520, 2256, 2837, 2052, 2022, 5627, 2000, 4357, 6426, 4632, 22043, 2043, 2002, 2003, 1999, 1057, 1012, 1055, 1012, 9968, 1010, 2025, 2077, 1012, 1521, 1524, 16360, 1012, 8040, 25798, 1521, 1055, 2436, 2074, 2435, 2149, 2023, 3433, 1024, 1523, 2256, 2837, 2052, 2022, 5627, 2000, 4357, 6426, 4632, 22043, 2043, 2002, 2003, 1999, 1057, 1012, 1055, 1012, 9968, 1010, 2025, 2077, 1012, 1524, 16770, 1024, 1013, 1013, 1056, 1012, 2522, 1013, 7570, 2692, 13687, 4160, 2102, 2078, 2581, 2078, 1517, 10488, 11463, 5677, 1006, 1030, 10488, 10199, 5677, 1007, 2089, 2423, 1010, 2760, 2005, 2086, 1010, 1996, 2149, 1998, 2866, 6867, 2031, 4188, 2000, 2425, 4632, 22043, 2030, 2010, 3913, 13777, 2015, 2065, 2009, 2018, 4810, 2019, 24265, 1997, 2032, 1012, 2007, 8040, 25798, 1521, 1055, 12629, 1010, 2002, 2038, 1996, 10473, 3350, 2000, 3058, 1997, 2899, 1521, 1055, 3488, 2000, 5843, 2032, 1999, 7173, 1012, 2311, 1037, 2553, 1999, 3595, 1010, 8701, 1999, 2270, 1996, 15536, 3211, 19738, 5705, 3910, 2038, 2042, 5496, 2011, 9915, 2472, 3505, 13433, 8737, 8780, 1997, 19642, 1037, 1523, 1037, 2512, 1011, 2110, 10420, 4454, 2326, 2411, 14863, 16190, 2011, 2110, 5889, 2066, 3607, 1012, 1524, 1996, 8398, 3447, 4423, 1996, 2976, 2882, 6467, 6224, 1996, 6545, 1997, 4632, 22043, 2023, 2095, 2000, 3104, 1996, 15536, 3211, 19738, 5705, 2713, 1997, 5190, 1997, 5491, 2006, 9915, 23707, 5906, 1012, 1523, 2057, 1521, 2310, 2525, 5625, 2000, 3357, 2039, 2256, 4073, 1998, 7188, 1037, 2553, 2064, 2022, 2081, 1010, 2057, 2097, 6148, 2000, 2404, 2070, 2111, 1999, 7173, 1010, 1524, 2149, 4905, 2236, 5076, 6521, 2038, 4161, 1012, 2061, 2521, 1010, 2174, 1010, 1996, 2149, 2038, 2025, 2081, 2270, 2019, 24265, 2030, 3488, 2000, 5227, 4632, 22043, 1521, 1055, 4469, 20562, 1012, 3015, 1999, 1996, 6697, 2023, 2254, 1010, 4988, 2508, 3608, 1517, 1037, 2280, 15536, 3211, 19738, 5705, 3095, 2121, 2357, 27863, 4632, 22043, 6232, 1517, 5224, 2008, 1010, 1523, 2045, 2003, 2053, 2270, 4735, 2553, 2114, 4632, 22043, 2030, 15536, 3211, 19738, 5705, 1999, 1996, 2149, 1012, 1524, 3608, 3555, 4632, 22043, 2038, 2498, 2000, 3571, 2011, 2975, 1996, 10378, 11219, 8408, 1999, 2414, 2138, 1010, 1523, 1996, 15536, 3211, 19738, 5705, 3910, 2003, 9832, 2000, 2227, 11537, 1999, 1996, 2149, 1012, 1524, 2021, 1996, 7928, 2011, 8040, 25798, 1517, 2040, 13339, 2002, 2001, 4092, 2006, 6852, 1997, 2010, 2972, 2160, 2837, 1517, 3749, 1996, 2087, 6937, 12407, 2008, 1996, 2149, 2038, 4810, 2019, 24265, 1997, 4632, 22043, 1010, 1998, 2008, 2009, 2052, 6148, 2010, 6234, 4469, 20562, 2065, 2002, 2020, 2000, 2681, 1996, 8408, 5286, 1012, 8040, 25798, 1521, 1055, 9413, 17884, 12629, 2024, 3497, 2000, 2031, 2350, 13494, 2006, 2129, 4632, 22043, 1010, 15536, 3211, 19738, 5705, 1998, 1996, 10378, 2319, 2231, 6869, 2000, 15986, 3778, 2013, 1996, 2149, 1998, 2866, 1012, 4555, 3778, 2006, 4632, 22043, 1010, 15536, 3211, 19738, 5705, 1998, 10378, 2144, 2002, 2439, 2010, 4071, 2698, 2086, 3283, 1010, 4632, 22043, 2038, 2042, 12302, 2000, 1037, 2186, 1997, 2235, 4734, 2503, 1996, 10378, 11219, 8408, 1999, 2414, 1012, 10378, 1521, 1055, 2280, 2343, 1010, 1996, 24247, 10999, 2522, 14343, 2050, 1010, 2038, 2042, 4594, 2011, 1996, 2062, 20228, 2937, 2102, 17497, 17921, 1012, 2295, 17921, 4379, 4632, 22043, 9068, 2023, 2254, 1010, 2002, 2038, 2649, 2032, 2004, 2019, 1523, 7900, 3291, 1524, 1998, 7939, 8004, 9250, 2032, 2004, 1037, 1523, 23307, 1012, 1524, 2522, 14343, 2050, 2038, 7549, 17921, 2004, 1037, 23445, 3586, 2005, 1996, 2149, 11376, 1517, 1037, 1523, 4702, 1999, 8351, 1521, 1055, 5929, 1524, 1517, 2040, 2209, 2039, 2010, 24247, 22496, 2000, 2131, 2700, 1010, 2059, 2357, 2006, 2010, 2918, 1012, 1999, 2258, 1996, 2149, 2772, 1037, 4101, 3036, 3820, 2007, 10378, 1010, 4352, 1996, 3739, 1997, 2137, 2510, 5073, 1999, 1996, 2406, 1012, 2023, 3204, 1010, 10378, 2218, 4101, 2510, 11110, 2007, 7379, 1010, 1037, 2149, 24351, 2110, 2008, 3728, 2623, 3488, 2000, 3693, 10079, 2004, 1037, 1523, 3795, 4256, 1012, 1524, 5564, 1010, 2899, 1998, 2414, 2031, 4162, 4555, 3778, 2006, 4632, 22043, 1999, 8069, 1997, 4911, 2032, 1998, 15870, 2010, 10758, 6164, 2013, 8408, 5286, 1012, 13229, 2988, 2006, 2089, 2423, 2008, 1996, 2149, 2001, 4340, 2000, 23365, 4632, 22043, 2013, 1996, 8408, 2000, 1523, 2330, 1037, 2047, 4403, 2005, 2149, 14766, 9461, 2000, 2424, 2041, 2054, 2002, 4282, 1012, 1524, 15536, 3211, 19738, 5705, 2038, 2550, 14611, 8333, 1997, 1037, 4011, 1523, 6723, 2136, 1524, 6866, 2648, 1996, 10378, 2319, 8408, 1024, 1037, 18365, 2011, 1037, 2266, 1997, 4632, 22043, 1521, 1055, 3423, 2136, 2029, 1045, 4663, 1999, 2258, 4993, 1037, 6542, 3861, 1997, 1996, 3663, 1024, 1523, 2096, 1996, 2866, 1011, 2149, 11014, 1031, 4632, 22043, 1521, 1055, 1033, 6545, 2648, 1996, 8408, 1010, 1999, 11371, 1997, 2048, 4895, 6996, 2015, 1010, 2503, 2111, 2024, 15605, 2013, 3773, 2032, 1006, 2060, 2084, 2070, 1997, 2010, 9559, 1007, 1998, 2002, 2038, 2053, 3229, 2000, 3042, 2030, 4274, 1010, 2164, 2010, 2219, 1010, 2349, 2000, 1996, 8272, 1997, 2557, 9389, 16862, 1998, 2019, 3237, 7899, 18201, 4726, 2032, 2011, 1996, 2047, 2343, 1997, 10378, 1517, 2029, 3544, 2000, 2022, 1037, 12510, 1997, 10378, 1521, 1055, 4552, 1012, 1524, 2065, 4632, 22043, 2003, 21801, 1998, 4469, 23194, 2098, 2000, 1996, 2149, 1010, 2002, 2052, 2022, 1996, 2034, 4988, 1999, 2137, 2381, 2000, 2022, 21651, 2005, 4640, 6219, 2592, 1012, 1996, 2693, 2052, 2022, 2926, 3862, 2445, 2008, 4632, 22043, 2003, 2025, 2019, 2137, 6926, 1012, 8672, 5199, 2213, 1010, 1996, 3237, 2472, 1997, 1996, 4071, 1997, 1996, 2811, 3192, 1010, 2038, 2056, 1010, 1523, 2151, 11537, 1031, 1997, 4632, 22043, 1033, 2052, 2022, 11757, 4795, 2005, 1996, 2034, 7450, 1998, 3492, 2172, 2296, 6398, 1999, 1996, 2142, 2163, 1012, 1524, 2021, 2045, 2003, 2210, 11883, 2005, 4632, 22043, 1517, 1998, 15665, 1997, 28238, 1517, 2013, 1037, 2899, 2811, 3650, 10202, 1999, 20234, 1997, 8398, 1998, 2019, 17418, 2007, 3607, 5867, 20014, 22934, 1012, 1999, 1996, 12507, 1010, 10378, 11219, 2343, 17921, 2442, 5136, 1996, 3423, 13494, 1997, 8040, 25798, 1521, 1055, 7928, 1012, 2010, 2406, 1521, 1055, 4552, 12045, 27206, 2015, 1996, 4469, 20562, 1997, 4480, 1024, 1523, 1999, 2053, 2553, 4618, 4469, 20562, 1997, 2019, 10378, 2937, 2022, 4379, 1012, 1524, 2009, 2036, 3964, 2008, 1010, 1523, 1996, 2110, 4618, 4847, 1998, 11302, 1996, 6958, 1997, 2512, 1011, 2709, 1012, 1524, 2085, 2008, 8040, 25798, 2038, 7687, 4484, 2137, 3488, 2000, 4469, 23194, 2063, 4632, 22043, 1010, 17921, 2442, 5630, 3251, 2002, 5300, 2010, 13007, 4667, 5386, 2007, 2899, 2062, 2084, 1996, 3627, 1997, 2375, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5585, 2581, 1042, 1012, 10514, 9397, 1012, 6191, 2629, 1006, 2687, 1007, 20996, 14227, 1998, 22996, 2194, 1058, 1012, 8840, 16786, 4297, 1012, 1998, 10417, 14001, 2290, 6088, 1010, 5183, 1012, 2053, 1012, 25022, 2615, 1012, 1037, 1012, 5986, 1011, 5401, 16703, 1012, 2142, 2163, 2212, 2457, 1010, 1041, 1012, 1040, 1012, 3552, 1012, 2337, 2340, 1010, 2687, 1012, 1008, 6191, 2575, 1008, 6191, 2581, 12794, 1041, 1012, 12570, 2480, 1010, 1050, 1012, 2957, 4204, 1010, 21018, 1010, 8945, 3726, 1010, 7410, 1004, 12570, 2480, 1010, 17025, 1010, 2139, 1010, 22677, 1052, 1012, 2358, 3217, 27773, 5603, 1010, 20996, 14227, 1998, 22996, 2194, 1010, 6316, 2050, 1010, 11063, 1049, 1012, 1051, 1005, 24400, 1010, 21018, 1010, 8945, 3726, 1010, 7410, 1004, 12570, 2480, 1010, 17025, 1010, 2139, 1010, 2005, 20996, 14227, 1998, 22996, 2194, 1010, 23953, 1012, 2508, 1043, 1012, 21069, 1010, 9155, 1039, 1012, 1047, 1012, 27699, 3070, 25346, 7847, 2080, 1010, 16897, 1010, 24023, 1010, 2128, 7712, 2243, 1004, 16897, 1010, 4407, 1010, 6643, 1010, 2005, 8840, 16786, 4297, 1012, 6554, 1039, 1012, 3557, 1010, 4330, 1010, 7367, 7096, 6290, 1010, 2380, 1004, 9406, 1010, 2520, 1049, 1012, 18646, 1010, 25520, 2669, 1004, 4743, 1010, 2222, 2361, 1010, 2198, 1052, 1012, 13466, 1010, 25520, 2669, 1004, 4743, 1010, 2222, 2361, 1010, 5904, 1010, 13316, 1010, 5070, 1055, 1012, 23233, 2884, 1010, 6090, 20189, 1010, 29058, 2063, 1010, 12988, 1004, 23233, 2884, 1010, 1052, 1012, 1039, 1012, 1010, 4407, 1010, 6643, 1010, 2005, 10417, 14001, 2290, 27427, 1012, 1010, 5183, 1012, 1010, 16362, 1012, 20336, 10302, 1010, 2212, 3648, 1012, 2023, 2003, 2019, 4748, 9103, 25027, 2206, 1037, 2928, 2386, 4994, 1012, 2928, 2386, 1058, 1012, 2225, 8584, 5693, 1010, 4297, 1012, 1010, 4868, 2581, 1057, 1012, 1055, 1012, 16444, 1010, 12904, 1055, 1012, 14931, 1012, 15028, 2549, 1010, 15170, 1048, 1012, 3968, 1012, 14134, 5401, 2581, 1006, 2727, 1007, 1012, 1996, 7353, 4447, 2012, 3277, 9125, 16012, 6895, 9305, 12141, 2109, 1999, 20739, 22698, 1012, 1999, 2807, 1010, 20579, 20996, 14227, 1998, 22996, 2194, 2001, 3843, 1057, 1012, 1055, 1012, 7353, 2053, 1012, 1019, 1010, 21036, 1010, 6445, 2581, 1006, 1005, 6445, 2581, 7353, 1007, 1012, 1999, 2023, 2895, 1010, 20996, 14227, 1998, 22996, 27481, 2015, 2008, 20739, 22698, 2764, 2011, 13474, 10417, 14001, 2290, 6088, 1010, 5183, 1012, 1998, 11625, 2011, 13474, 8840, 16786, 1010, 4297, 1012, 12346, 18204, 20701, 2015, 1997, 1996, 1005, 6445, 2581, 7353, 1012, 7360, 2003, 2976, 3160, 1010, 2654, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 14506, 2487, 1006, 2807, 1007, 1010, 2029, 2003, 7262, 1999, 7353, 4506, 1010, 2654, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 14506, 2620, 1006, 1037, 1007, 1006, 2807, 1007, 1012, 20579, 2003, 18207, 2006, 4447, 1015, 1010, 1016, 1010, 1017, 1010, 1019, 1010, 1020, 1010, 1998, 1022, 1997, 1996, 1005, 6445, 2581, 7353, 1010, 2035, 1997, 2029, 6235, 5072, 9265, 1012, 3188, 2000, 1996, 7353, 1010, 16012, 6895, 9305, 12141, 2170, 1017, 1011, 11163, 15222, 10936, 12898, 2638, 10099, 2020, 2124, 2000, 2022, 4621, 20739, 22698, 1012, 2174, 1010, 2138, 2122, 10099, 1010, 1999, 5576, 1010, 11121, 2000, 21933, 8737, 9232, 1998, 2468, 4895, 9153, 14454, 3550, 1010, 1037, 3384, 29607, 5474, 2001, 2794, 1012, 2004, 2019, 19662, 7652, 2765, 1010, 9280, 2482, 21081, 16505, 10099, 3490, 13181, 21559, 10586, 9777, 2080, 2020, 2550, 1012, 1996, 1005, 6445, 2581, 7353, 5031, 1997, 2260, 9265, 1998, 6194, 3832, 2000, 5547, 2030, 11027, 9152, 13181, 21559, 10586, 1998, 17727, 25137, 2011, 1011, 3688, 2008, 2064, 2468, 9152, 13181, 21559, 3170, 14988, 2015, 1012, 1999, 1037, 18204, 20701, 2895, 1010, 2045, 2024, 2048, 4084, 1012, 2034, 1010, 1996, 4447, 1999, 3160, 2442, 2022, 9530, 3367, 28551, 2005, 9531, 1998, 3574, 1012, 2156, 2928, 2386, 1010, 4868, 2581, 1057, 1012, 1055, 1012, 2012, 4261, 2487, 1010, 12904, 1055, 1012, 14931, 1012, 2012, 15028, 2581, 1012, 2117, 1010, 2045, 2003, 1996, 3160, 3251, 1996, 4447, 1010, 2004, 9530, 3367, 28551, 1010, 3104, 1996, 5496, 5080, 2030, 2832, 1012, 2156, 22737, 3630, 1058, 1012, 10093, 7934, 13058, 1012, 1010, 11118, 1042, 1012, 7605, 17403, 2620, 1010, 17696, 2475, 1006, 7349, 1012, 25022, 2099, 1012, 2722, 1007, 1012, 2182, 1010, 2069, 1996, 2928, 2386, 4403, 2003, 2104, 9584, 1012, 1045, 1012, 2928, 2386, 4106, 1996, 7863, 1997, 4447, 2810, 4106, 2003, 2000, 2004, 17119, 18249, 1996, 3574, 2008, 1037, 2711, 1997, 6623, 8066, 1999, 1996, 2396, 2052, 2507, 2000, 1996, 4447, 1999, 7593, 1012, 2156, 25072, 1058, 1012, 26785, 8139, 1010, 4297, 1012, 1010, 9402, 1042, 1012, 7605, 5187, 2549, 1010, 5187, 2683, 1006, 7349, 1012, 25022, 2099, 1012, 2727, 1007, 1025, 21805, 20014, 1005, 1048, 1010, 4297, 1012, 1058, 1012, 12245, 7361, 3886, 2522, 1012, 1010, 1022, 1042, 1012, 7605, 17403, 2509, 1010, 17403, 2620, 1050, 1012, 1018, 1006, 7349, 1012, 25022, 2099, 1012, 2857, 1007, 1012, 1996, 12160, 2051, 2003, 1996, 3058, 1997, 1996, 4646, 2005, 1996, 7353, 1012, 2156, 25072, 1010, 9402, 1042, 1012, 7605, 2012, 5187, 2683, 1012, 1999, 2023, 2553, 1010, 1996, 2434, 4646, 1010, 7642, 2053, 1012, 4229, 2509, 1010, 5594, 2620, 1010, 2001, 6406, 2007, 1996, 7353, 1998, 11749, 2436, 2006, 2238, 1015, 1010, 3196, 1012, 2156, 1005, 6445, 2581, 7353, 1010, 2012, 1015, 1012, 1999, 9530, 3367, 6820, 2075, 2019, 13647, 4366, 1010, 1996, 2034, 1998, 11734, 3653, 3401, 13876, 2003, 2000, 2298, 2000, 1996, 23807, 3350, 1997, 2501, 1010, 1045, 1012, 1041, 1012, 1010, 1996, 7353, 2993, 1010, 2029, 2950, 1996, 4447, 1998, 1996, 12827, 1010, 2362, 2007, 1996, 11537, 2381, 2077, 1996, 7353, 1998, 11749, 2436, 1012, 2156, 25714, 8713, 2015, 13058, 1012, 1058, 1012, 4145, 4948, 2594, 1010, 4297, 1012, 1010, 3938, 1042, 1012, 7605, 17403, 2575, 1010, 17696, 2475, 1006, 7349, 1012, 25022, 2099, 1012, 2727, 1007, 1025, 2928, 2386, 1058, 1012, 2225, 8584, 5693, 1010, 4297, 1012, 1010, 4720, 1042, 1012, 7605, 5986, 2581, 1010, 5989, 2683, 1006, 7349, 1012, 25022, 2099, 1012, 2786, 1007, 1012, 23807, 3350, 2003, 1000, 1996, 2087, 3278, 3120, 1997, 1996, 10142, 12160, 3574, 1997, 11621, 4366, 2653, 1012, 1000, 8909, 1012, 2000, 3972, 3170, 3686, 1996, 9531, 1997, 6325, 1010, 1996, 2773, 2075, 1997, 1996, 4447, 1010, 13647, 1998, 2512, 1011, 13647, 1010, 2323, 2022, 8920, 1999, 2037, 15700, 1012, 2156, 4330, 4806, 2470, 1010, 4297, 1012, 1058, 1012, 8995, 19839, 4806, 13058, 1012, 1010, 4583, 1042, 1012, 7605, 6079, 2629, 1010, 23612, 1006, 7349, 1012, 25022, 2099, 1012, 2786, 1007, 1012, 2096, 1996, 4366, 1005, 1055, 1008, 6191, 2620, 2616, 1998, 15672, 2323, 2022, 2445, 2037, 6623, 1998, 16120, 3574, 1010, 1000, 1037, 7353, 4402, 2089, 5454, 2000, 2022, 2010, 2219, 16105, 3597, 18657, 1998, 2224, 3408, 1999, 1037, 5450, 2060, 2084, 2037, 6623, 3574, 1010, 2004, 2146, 2004, 1996, 2569, 6210, 2003, 4415, 3090, 1999, 1996, 7353, 12827, 2030, 5371, 2381, 1012, 1000, 25714, 8713, 2015, 1010, 3938, 1042, 1012, 7605, 2012, 17696, 2475, 1012, 2005, 2122, 4436, 1010, 2019, 9312, 1997, 1996, 12827, 2003, 6827, 1025, 1996, 4447, 1000, 2442, 2022, 3191, 1999, 3193, 1997, 1996, 12827, 1010, 1997, 2029, 2027, 2024, 1037, 2112, 1012, 1000, 2928, 2386, 1010, 4720, 1042, 1012, 7605, 2012, 5989, 2683, 1006, 8951, 8285, 5856, 3217, 2522, 1012, 1997, 2572, 1012, 1058, 1012, 2142, 2163, 1010, 18596, 14931, 1012, 18856, 1012, 4583, 1010, 4229, 2549, 1042, 1012, 14134, 4464, 2487, 1010, 4464, 2581, 1006, 3476, 1007, 1007, 1012, 2004, 20742, 2011, 1996, 2976, 4984, 1024, 1996, 12827, 3397, 1037, 2517, 6412, 1997, 1996, 11028, 2029, 2442, 2022, 3154, 1998, 3143, 2438, 2000, 9585, 2216, 1997, 6623, 8066, 1999, 1996, 2396, 2000, 2191, 1998, 2224, 2009, 1012, 2947, 1996, 12827, 2003, 2467, 3811, 7882, 2000, 1996, 4366, 2810, 4106, 1012, 2788, 1010, 2009, 2003, 4487, 13102, 20049, 6024, 1025, 2009, 2003, 1996, 2309, 2190, 5009, 2000, 1996, 3574, 1997, 1037, 11621, 2744, 1012, 25714, 8713, 2015, 1010, 3938, 1042, 1012, 7605, 2012, 17696, 2475, 1012, 11537, 2381, 2323, 2036, 2022, 2641, 2004, 23807, 3350, 1010, 2164, 1996, 2501, 1997, 8931, 2077, 1996, 7353, 1998, 11749, 2436, 1012, 2156, 8909, 1012, 1006, 11537, 2381, 2003, 1000, 2411, 1997, 4187, 7784, 1999, 12515, 1996, 3574, 1997, 1996, 4447, 1000, 1007, 1012, 2216, 8931, 2089, 13265, 1996, 7353, 4402, 1005, 1055, 15066, 2004, 2000, 4366, 9531, 1010, 2362, 2007, 1037, 3319, 1997, 1996, 3188, 2396, 1012, 2156, 8909, 1012, 2012, 17696, 2509, 1012, 1000, 1999, 2087, 8146, 1010, 2019, 4106, 1997, 1996, 23807, 3350, 2894, 2097, 10663, 2151, 27637, 1999, 1037, 11621, 4366, 2744, 1012, 1000, 8909, 1012, 1006, 8951, 14412, 2140, 13058, 1012, 1058, 1012, 12702, 2078, 8745, 2015, 1010, 4297, 1012, 1010, 5764, 1042, 1012, 7605, 12606, 2487, 1010, 12606, 2575, 1006, 7349, 1012, 25022, 2099, 1012, 2786, 1007, 1007, 1012, 11914, 1010, 2009, 2030, 18979, 11272, 2052, 2022, 24156, 2000, 7001, 2000, 4654, 18886, 3619, 2594, 3350, 2107, 2004, 6739, 10896, 1010, 4487, 7542, 12086, 2030, 4342, 15326, 2015, 1012, 2156, 8909, 1012, 1031, 1015, 1033, 2174, 1010, 1999, 1996, 5866, 2553, 1010, 1996, 7353, 2501, 2089, 2022, 13990, 2030, 2019, 4728, 4895, 16846, 2483, 21450, 3978, 2000, 9585, 1996, 4447, 2000, 2022, 11581, 2135, 9530, 3367, 28551, 1012, 2156, 25714, 8713, 2015, 1010, 3938, 1042, 1012, 7605, 2012, 17696, 2629, 1012, 1999, 2008, 4867, 6013, 1010, 4654, 18886, 3619, 2594, 3350, 2003, 2566, 26770, 2006, 1996, 3277, 1997, 2129, 2619, 10571, 1999, 1996, 2396, 2052, 3305, 1996, 4447, 1012, 2156, 2928, 2386, 1010, 4720, 1042, 1012, 7605, 2012, 5989, 2683, 1012, 6600, 1010, 2107, 4654, 18886, 3619, 2594, 3350, 2089, 2025, 24528, 29201, 1996, 19676, 3574, 1997, 1996, 4447, 2004, 2275, 5743, 1010, 2130, 2011, 25323, 1010, 1999, 1996, 12827, 1998, 11537, 2381, 1012, 2156, 25714, 8713, 2015, 1010, 3938, 1042, 1012, 7605, 2012, 17696, 2549, 1011, 5594, 1012, 2182, 1010, 2383, 8182, 1996, 23807, 3350, 1010, 2009, 3544, 2000, 2022, 14203, 5685, 16021, 6279, 6442, 3085, 3406, 2175, 3458, 1996, 11268, 7512, 2098, 2501, 1012, 1031, 1016, 1033, 20579, 2038, 3491, 2008, 1996, 23807, 3350, 2003, 1037, 10142, 7182, 8185, 2005, 4447, 2810, 1999, 2023, 2553, 1012, 2462, 1012, 11621, 3787, 1996, 2206, 15383, 2024, 4748, 9103, 26022, 1024, 1015, 1012, 1000, 27697, 1000, 1006, 2035, 13647, 4447, 1007, 2965, 13070, 2000, 22511, 1010, 3391, 1996, 3098, 1997, 1996, 11163, 15222, 10936, 12898, 2638, 3614, 1012, 1996, 18876, 1010, 2030, 7526, 1010, 2003, 2008, 11142, 1011, 2166, 1997, 1996, 27697, 5512, 2003, 6022, 2936, 2084, 2008, 2005, 2019, 4895, 9153, 14454, 3550, 5512, 2104, 1996, 2168, 5527, 3785, 1012, 2156, 4101, 2928, 2386, 4994, 4861, 1010, 2012, 2184, 1012, 1996, 2653, 1997, 1996, 1005, 6445, 2581, 7353, 12827, 1010, 2049, 3188, 2396, 1010, 1998, 1996, 11537, 2381, 2490, 2023, 2810, 1012, 1996, 1005, 6445, 2581, 7353, 12827, 2163, 1024, 6854, 1010, 7300, 1997, 1996, 1017, 1011, 11163, 15222, 10936, 12898, 5267, 1010, 2926, 1037, 4226, 3560, 7300, 2030, 7300, 1999, 11508, 7554, 23735, 2015, 2107, 2004, 6544, 2015, 1010, 2024, 14480, 1010, 2877, 2000, 4359, 6897, 12353, 1012, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 6191, 2683, 1996, 18549, 3463, 2013, 2019, 3098, 1997, 1996, 11163, 15222, 10936, 12898, 2638, 3614, 2000, 2433, 7399, 10099, 2029, 2079, 2025, 2031, 1996, 2168, 6897, 5144, 2004, 1996, 3614, 10099, 1012, 2000, 26402, 3614, 28691, 1010, 29607, 23480, 1012, 1012, 1012, 2064, 2022, 2794, 2000, 11163, 15222, 10936, 12898, 2638, 7300, 1012, 2947, 2009, 2003, 11088, 16166, 2651, 2000, 5675, 2618, 2116, 1997, 1996, 1017, 1011, 11163, 15222, 10936, 12898, 2638, 16012, 27082, 2015, 1999, 7300, 4820, 2300, 2030, 7554, 23735, 2030, 8150, 2015, 21739, 2362, 2007, 29607, 27790, 2869, 2000, 4652, 22511, 1997, 1996, 1017, 1011, 11163, 15222, 10936, 12898, 2638, 1006, 2156, 1057, 1012, 1055, 1012, 6986, 1012, 2053, 1012, 1017, 1010, 28864, 1010, 6535, 2629, 1007, 1012, 1005, 6445, 2581, 7353, 1010, 2012, 1015, 1024, 5187, 2000, 1016, 1024, 1016, 1012, 1996, 1005, 6445, 2581, 7353, 12827, 2036, 12045, 7604, 3188, 2396, 2226, 1012, 1055, 1012, 13979, 16839, 1012, 1017, 1010, 28864, 1010, 6535, 2629, 1006, 1005, 6535, 2629, 7353, 1007, 1010, 1998, 1018, 1010, 5757, 2581, 1010, 6584, 2620, 1006, 1005, 6584, 2620, 7353, 1007, 1031, 1017, 1033, 2029, 8945, 29576, 1996, 2168, 2810, 1012, 2156, 1005, 6535, 2629, 7353, 1010, 2012, 1015, 1024, 2603, 1011, 2756, 1006, 1000, 2096, 2107, 20219, 1031, 1997, 1017, 1011, 11163, 15222, 10936, 12898, 5267, 1999, 2300, 2030, 11508, 7554, 23735, 2015, 1033, 2038, 2053, 3466, 2006, 1031, 2037, 1033, 9211, 2030, 3853, 1012, 1012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 7427, 4012, 1012, 6816, 14413, 1012, 26219, 9818, 1012, 2717, 9397, 1025, 12324, 4012, 1012, 6816, 14413, 1012, 26219, 9818, 1012, 2717, 9397, 1012, 4062, 1012, 23032, 13874, 1025, 12324, 4012, 1012, 6816, 14413, 1012, 26219, 9818, 1012, 2717, 9397, 1012, 2717, 9397, 8663, 2638, 7542, 1025, 12324, 4012, 1012, 6816, 14413, 1012, 26219, 9818, 1012, 2717, 9397, 1012, 4062, 1012, 23032, 19362, 8043, 1025, 12324, 4012, 1012, 6816, 14413, 1012, 26219, 9818, 1012, 2717, 9397, 1012, 4062, 1012, 2717, 9397, 6072, 26029, 3366, 1025, 12324, 4012, 1012, 6816, 14413, 1012, 26219, 9818, 1012, 1008, 1025, 12324, 9262, 1012, 29296, 1012, 14108, 6279, 13701, 10288, 24422, 1025, 12324, 9262, 1012, 29296, 1012, 3463, 3388, 1025, 12324, 9262, 1012, 29296, 1012, 29296, 10288, 24422, 1025, 12324, 8917, 1012, 1046, 3385, 1012, 1046, 3385, 16429, 20614, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 9140, 9863, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 23325, 2863, 2361, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 2862, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 4949, 1025, 2270, 2465, 2717, 9397, 28139, 19362, 2098, 9153, 18532, 4765, 8908, 4810, 9153, 18532, 4765, 1063, 2797, 5164, 23032, 1025, 2797, 16109, 2139, 8569, 2290, 1027, 1014, 1025, 2797, 2862, 1026, 5164, 1028, 3341, 1035, 2862, 1025, 2797, 2862, 1026, 5164, 1028, 19449, 1035, 2862, 1025, 2797, 23032, 19362, 8043, 11968, 8043, 1025, 2797, 23032, 13874, 23032, 1035, 2828, 1025, 2797, 5164, 1041, 4747, 1027, 19701, 1025, 2797, 5164, 19802, 1027, 19701, 1025, 2797, 5164, 8569, 23891, 2099, 5164, 8569, 23891, 2099, 1027, 19701, 1025, 2270, 2717, 9397, 28139, 19362, 2098, 9153, 18532, 4765, 1006, 2717, 9397, 8663, 2638, 7542, 2717, 9397, 8663, 2638, 7542, 1010, 5164, 23032, 1010, 16109, 2139, 8569, 2290, 1007, 1063, 3565, 1006, 2717, 9397, 8663, 2638, 7542, 1010, 23032, 1007, 1025, 2023, 1012, 23032, 1027, 23032, 1025, 2023, 1012, 2139, 8569, 2290, 1027, 2139, 8569, 2290, 1025, 3341, 1035, 2862, 1027, 2047, 9140, 9863, 1026, 5164, 1028, 1006, 1007, 1025, 19449, 1035, 2862, 1027, 2047, 9140, 9863, 1026, 5164, 1028, 1006, 1007, 1025, 1065, 1030, 2058, 15637, 2270, 3463, 3388, 15389, 4226, 2854, 1006, 1007, 11618, 29296, 10288, 24422, 1063, 2023, 1012, 15389, 1006, 1007, 1025, 2709, 2783, 6072, 11314, 13462, 1025, 1065, 1030, 2058, 15637, 2270, 22017, 20898, 15389, 1006, 1007, 11618, 29296, 10288, 24422, 1063, 1013, 1013, 15389, 1996, 23032, 2023, 1012, 11968, 8043, 1027, 2047, 23032, 19362, 8043, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1010, 2023, 1012, 23032, 1010, 2023, 1012, 11709, 1010, 2023, 1012, 2139, 8569, 2290, 1010, 2023, 1012, 2051, 5833, 1007, 1025, 2023, 1012, 23032, 1035, 2828, 1027, 11968, 8043, 1012, 2131, 4226, 2854, 13874, 1006, 1007, 1025, 1013, 1008, 1008, 1008, 12125, 2003, 2667, 2000, 2131, 8040, 28433, 2005, 1037, 10578, 3105, 1012, 1008, 1013, 2065, 1006, 2023, 1012, 23032, 1035, 2828, 1027, 1027, 23032, 13874, 1012, 23032, 1035, 2828, 1035, 8040, 28433, 1035, 3105, 1007, 1063, 5164, 3210, 5403, 2863, 1027, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1007, 1012, 2131, 12735, 5403, 2863, 1006, 1007, 1025, 2065, 1006, 3210, 5403, 2863, 1027, 1027, 19701, 1007, 1063, 5466, 2047, 29296, 10288, 24422, 1006, 1000, 5724, 1032, 1000, 8040, 28433, 1032, 1000, 2442, 2022, 9675, 2043, 1999, 22776, 1037, 10578, 3105, 1012, 1000, 1007, 1025, 1065, 2023, 1012, 2783, 6072, 11314, 13462, 1027, 2047, 2717, 9397, 6072, 11314, 13462, 1006, 2023, 1010, 3210, 5403, 2863, 1007, 1025, 2709, 22017, 20898, 1012, 2995, 1025, 1065, 2717, 9397, 6072, 26029, 3366, 3433, 1027, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1007, 1012, 15389, 4226, 2854, 1006, 2023, 1012, 11968, 8043, 1010, 1000, 1000, 1007, 1025, 2065, 1006, 3433, 1012, 2038, 2121, 29165, 1006, 1007, 1007, 1063, 5466, 2047, 29296, 10288, 24422, 1006, 3433, 1012, 2131, 2121, 10867, 28745, 1006, 1007, 1007, 1025, 1065, 1013, 1013, 11968, 3366, 3433, 2951, 22017, 20898, 2038, 6072, 11314, 13462, 2015, 1027, 3433, 1012, 2038, 6072, 11314, 13462, 2015, 1006, 1007, 1025, 1013, 1013, 2065, 3120, 19449, 8909, 2003, 2025, 19701, 1010, 12125, 2003, 2667, 2000, 12850, 3341, 1012, 22017, 20898, 2003, 18150, 3436, 24225, 1027, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1007, 1012, 4152, 8162, 3401, 1006, 1007, 999, 1027, 19701, 1025, 1013, 1008, 1008, 1008, 2709, 2019, 4064, 3463, 3388, 2612, 1997, 19701, 1010, 1008, 4728, 12125, 2097, 6634, 1012, 1008, 1013, 2023, 1012, 2783, 6072, 11314, 13462, 1027, 2047, 2717, 9397, 6072, 11314, 13462, 1006, 2023, 1010, 3433, 1012, 2131, 6072, 11314, 2015, 1006, 1007, 1010, 11968, 8043, 1012, 2131, 3790, 9863, 1006, 1007, 1010, 2023, 1012, 23032, 1035, 2828, 1010, 2003, 18150, 3436, 24225, 1007, 1025, 2709, 2038, 6072, 11314, 13462, 2015, 1025, 1065, 1030, 2058, 15637, 2270, 11675, 5587, 14479, 2818, 1006, 1007, 11618, 29296, 10288, 24422, 1063, 1013, 1013, 2460, 12690, 2005, 10578, 5841, 1012, 2065, 1006, 2023, 1012, 23032, 1035, 2828, 1027, 1027, 23032, 13874, 1012, 23032, 1035, 2828, 1035, 7170, 1035, 3105, 1007, 1063, 2023, 1012, 5164, 8569, 23891, 2099, 1012, 10439, 10497, 1006, 1041, 4747, 1007, 1025, 2023, 1012, 5164, 8569, 23891, 2099, 1012, 10439, 10497, 1006, 5164, 1012, 3643, 11253, 1006, 2023, 1012, 11709, 1012, 2131, 1006, 1015, 1007, 1007, 1007, 1025, 2005, 1006, 20014, 1045, 1027, 1015, 1025, 1045, 1026, 2023, 1012, 11709, 1012, 2946, 1006, 1007, 1025, 1009, 1009, 1045, 1007, 1063, 2023, 1012, 5164, 8569, 23891, 2099, 1012, 10439, 10497, 1006, 2023, 1012, 19802, 1007, 1012, 10439, 10497, 1006, 5164, 1012, 3643, 11253, 1006, 2023, 1012, 11709, 1012, 2131, 1006, 1045, 1009, 1015, 1007, 1007, 1007, 1025, 1065, 2709, 1025, 1065, 2065, 1006, 2023, 1012, 2139, 8569, 2290, 1028, 1015, 1007, 1063, 2291, 1012, 2041, 1012, 6140, 19666, 1006, 1000, 1028, 1028, 1028, 5587, 14479, 2818, 1006, 1007, 1024, 1000, 1009, 2023, 1012, 23032, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 5587, 14479, 2818, 1006, 1007, 12102, 2000, 2022, 2170, 2116, 2335, 1010, 1008, 2061, 2057, 2896, 2049, 2139, 8569, 2290, 2504, 1012, 1008, 1013, 2023, 1012, 11968, 8043, 1027, 2047, 23032, 19362, 8043, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1010, 2023, 1012, 23032, 1010, 2023, 1012, 11709, 1010, 2023, 1012, 2139, 8569, 2290, 1011, 1015, 1010, 2023, 1012, 2051, 5833, 1007, 1025, 2065, 1006, 2023, 1012, 11968, 8043, 1012, 2131, 4226, 2854, 13874, 1006, 1007, 1027, 1027, 23032, 13874, 1012, 23032, 1035, 2828, 1035, 7170, 1035, 3105, 1007, 1063, 2023, 1012, 23032, 1035, 2828, 1027, 2023, 1012, 11968, 8043, 1012, 2131, 4226, 2854, 13874, 1006, 1007, 1025, 2023, 1012, 1041, 4747, 1027, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1007, 1012, 2131, 8780, 2140, 1006, 1007, 1025, 2023, 1012, 19802, 1027, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1007, 1012, 4152, 13699, 25879, 2953, 1006, 1007, 1025, 2023, 1012, 5164, 8569, 23891, 2099, 1027, 2047, 5164, 8569, 23891, 2099, 1006, 1007, 1025, 2023, 1012, 5164, 8569, 23891, 2099, 1012, 10439, 10497, 1006, 2023, 1012, 11968, 8043, 1012, 2131, 4179, 1006, 1007, 1007, 1025, 2709, 1025, 1065, 5164, 19449, 1035, 1046, 3385, 1027, 11968, 8043, 1012, 2131, 16874, 10288, 22578, 2239, 1006, 1007, 1025, 5164, 3341, 1035, 1046, 3385, 1027, 11968, 8043, 1012, 2131, 24225, 22578, 2239, 1006, 1007, 1025, 2065, 1006, 19449, 1035, 1046, 3385, 999, 1027, 1000, 1000, 1007, 1063, 19449, 1035, 2862, 1012, 5587, 1006, 19449, 1035, 1046, 3385, 1007, 1025, 1065, 2065, 1006, 3341, 1035, 1046, 3385, 999, 1027, 1000, 1000, 1007, 1063, 3341, 1035, 2862, 1012, 5587, 1006, 3341, 1035, 1046, 3385, 1007, 1025, 1065, 1065, 1030, 2058, 15637, 2270, 11675, 5587, 14479, 2818, 1006, 5164, 29296, 1007, 11618, 29296, 10288, 24422, 1063, 2065, 1006, 2023, 1012, 2139, 8569, 2290, 1028, 1015, 1007, 1063, 2291, 1012, 2041, 1012, 6140, 19666, 1006, 1000, 1028, 1028, 1028, 5587, 14479, 2818, 1006, 29296, 1007, 1024, 1000, 1009, 2023, 1012, 23032, 1007, 1025, 1065, 2023, 1012, 23032, 1027, 29296, 1025, 1013, 1008, 1008, 1008, 5587, 14479, 2818, 1006, 1007, 12102, 2000, 2022, 2170, 2116, 2335, 1010, 1008, 2061, 2057, 2896, 2049, 2139, 8569, 2290, 2504, 1012, 1008, 1013, 2023, 1012, 11968, 8043, 1027, 2047, 23032, 19362, 8043, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1010, 29296, 1010, 2023, 1012, 11709, 1010, 2023, 1012, 2139, 8569, 2290, 1011, 1015, 1010, 2023, 1012, 2051, 5833, 1007, 1025, 2023, 1012, 23032, 1035, 2828, 1027, 2023, 1012, 11968, 8043, 1012, 2131, 4226, 2854, 13874, 1006, 1007, 1025, 2023, 1012, 1041, 4747, 1027, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1007, 1012, 2131, 8780, 2140, 1006, 1007, 1025, 5164, 19449, 1035, 1046, 3385, 1027, 11968, 8043, 1012, 2131, 16874, 10288, 22578, 2239, 1006, 1007, 1025, 5164, 3341, 1035, 1046, 3385, 1027, 11968, 8043, 1012, 2131, 24225, 22578, 2239, 1006, 1007, 1025, 2065, 1006, 19449, 1035, 1046, 3385, 999, 1027, 1000, 1000, 1007, 1063, 19449, 1035, 2862, 1012, 5587, 1006, 19449, 1035, 1046, 3385, 1007, 1025, 1065, 2065, 1006, 3341, 1035, 1046, 3385, 999, 1027, 1000, 1000, 1007, 1063, 3341, 1035, 2862, 1012, 5587, 1006, 3341, 1035, 1046, 3385, 1007, 1025, 1065, 1065, 1030, 2058, 15637, 2270, 11675, 3154, 14479, 2818, 1006, 1007, 11618, 29296, 10288, 24422, 1063, 3341, 1035, 2862, 1012, 3154, 1006, 1007, 1025, 19449, 1035, 2862, 1012, 3154, 1006, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 14108, 10651, 1012, 1008, 2005, 2039, 16616, 18984, 1013, 7926, 1010, 1996, 2709, 5300, 2024, 2193, 1997, 7172, 18984, 1998, 7926, 1012, 1008, 2005, 10578, 5841, 1010, 1996, 2709, 5300, 2024, 2193, 1997, 3210, 2108, 3970, 1998, 5837, 1012, 1008, 1013, 1030, 2058, 15637, 2270, 20014, 1031, 1033, 15389, 14479, 2818, 1006, 1007, 11618, 29296, 10288, 24422, 1063, 2065, 1006, 2023, 1012, 2139, 8569, 2290, 1028, 1014, 1007, 1063, 2291, 1012, 2041, 1012, 6140, 19666, 1006, 1000, 1028, 1028, 1028, 15389, 14479, 2818, 1024, 1000, 1009, 2023, 1012, 23032, 1007, 1025, 1065, 20014, 1031, 1033, 4175, 1027, 2047, 20014, 1031, 1016, 1033, 1025, 1013, 1013, 2009, 2003, 1037, 10578, 3105, 1012, 2065, 1006, 2023, 1012, 23032, 1035, 2828, 1027, 1027, 23032, 13874, 1012, 23032, 1035, 2828, 1035, 7170, 1035, 3105, 1007, 1063, 2065, 1006, 2023, 1012, 5164, 8569, 23891, 2099, 1027, 1027, 19701, 1007, 1063, 2709, 4175, 1025, 1065, 5164, 18093, 1027, 2023, 1012, 5164, 8569, 23891, 2099, 1012, 2000, 3367, 4892, 1006, 1007, 1025, 2717, 9397, 6072, 26029, 3366, 3433, 1027, 1006, 1006, 2717, 9397, 8663, 2638, 7542, 1007, 2131, 8663, 2638, 7542, 1006, 1007, 1007, 1012, 15389, 4226, 2854, 1006, 2023, 1012, 11968, 8043, 1010, 18093, 1007, 1025, 2862, 1026, 1046, 3385, 16429, 20614, 1028, 3463, 1027, 3433, 1012, 2131, 6072, 11314, 2015, 1006, 1007, 1025, 2065, 1006, 3463, 1012, 2946, 1006, 1007, 1028, 1014, 1007, 1063, 2065, 1006, 2023, 1012, 2139, 8569, 2290, 1028, 1015, 1007, 1063, 2291, 1012, 2041, 1012, 6140, 19666, 1006, 1000, 1028, 1028, 1028, 18093, 1024, 1000, 1009, 18093, 1007, 1025, 2291, 1012, 2041, 1012, 6140, 19666, 1006, 1000, 1028, 1028, 1028, 2765, 1024, 1000, 1009, 3463, 1012, 2131, 1006, 1014, 1007, 1007, 1025, 1065, 1046, 3385, 16429, 20614, 27885, 3501, 1027, 1006, 1046, 3385, 16429, 20614, 1007, 3463, 1012, 2131, 1006, 1014, 1007, 1012, 2131, 1006, 1000, 6747, 1000, 1007, 1025, 4175, 1031, 1014, 1033, 1027, 27885, 3501, 1012, 2131, 18447, 1006, 1000, 9398, 4179, 1000, 1007, 1025, 4175, 1031, 1015, 1033, 1027, 27885, 3501, 1012, 2131, 18447, 1006, 1000, 15454, 4179, 1000, 1007, 1025, 1065, 2023, 1012, 5164, 8569, 23891, 2099, 1027, 2047, 5164, 8569, 23891, 2099, 1006, 1007, 1025, 2709, 4175, 1025, 1065, 2065, 1006, 2023, 1012, 3341, 1035, 2862, 1012, 2946, 1006, 1007, 1027, 1027, 1014, 1004, 1004, 2023, 1012, 19449, 1035, 2862, 1012, 2946, 1006, 1007, 1027, 1027, 1014, 1007, 1063, 2709, 4175, 1025, 1065, 1013, 1013, 2009, 2003, 1037, 3671, 3105, 2000, 11139, 8743, 19449, 2030, 3341, 3081, 1996, 1005, 10629, 1005, 2203, 8400, 1012, 5164, 8569, 23891, 2099, 24829, 1027, 2047, 5164, 8569, 23891, 2099, 1006, 1007, 1025, 24829, 1012, 10439, 10497, 1006, 1000, 1063, 1000, 1007, 1025, 2065, 1006, 2023, 1012, 19449, 1035, 2862, 1012, 2946, 1006, 1007, 1028, 1014, 1007, 1063, 24829, 1012, 10439, 10497, 1006, 1000, 1032, 1000, 18984, 1032, 1000, 1024, 1063, 1000, 1007, 1025, 24829, 1012, 10439, 10497, 1006, 2023 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2035, 7882, 2951, 2024, 2306, 1996, 3259, 1998, 2049, 4637, 2592, 6764, 1012, 4955, 1063, 1001, 10819, 8889, 2629, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3424, 7712, 3217, 21102, 5012, 1006, 2572, 2099, 1007, 2003, 1996, 3754, 1997, 10327, 1010, 23996, 1010, 18191, 1998, 15289, 2000, 4982, 1998, 3659, 1999, 1996, 3739, 1997, 3424, 7712, 3217, 21102, 20233, 2008, 2024, 5373, 3161, 2114, 2068, 1012, 2572, 2099, 5158, 3081, 1037, 2846, 1997, 5012, 10595, 1010, 2107, 2004, 1037, 6310, 3424, 7712, 3217, 21102, 4539, 1010, 4372, 9096, 12644, 18479, 26394, 1013, 16627, 1010, 1041, 4246, 25148, 1998, 17727, 2121, 4168, 8010, 1012, 2023, 5012, 2003, 19872, 2011, 7578, 5012, 9165, 2008, 19852, 2004, 1037, 2765, 1997, 3424, 7712, 3217, 21102, 4989, 3778, 4654, 28728, 2011, 1996, 6413, 1998, 1013, 2030, 15884, 2224, 1997, 3424, 7712, 3217, 21102, 20233, 1010, 1998, 2003, 25817, 2011, 1996, 11675, 1997, 2047, 3424, 7712, 3217, 21102, 6074, 1999, 1996, 2783, 17261, 13117, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2475, 1033, 1032, 1033, 1012, 2572, 2099, 7457, 2740, 1011, 2729, 5366, 1010, 3091, 1997, 2994, 1999, 8323, 1010, 22822, 17062, 3012, 1998, 13356, 1999, 2119, 2764, 1998, 4975, 3032, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2509, 1033, 1032, 1033, 1012, 1037, 3522, 3189, 4358, 2008, 2184, 2454, 6677, 2097, 2022, 7108, 2000, 2572, 2099, 2011, 16327, 2692, 1010, 1998, 2531, 23458, 13751, 1997, 1996, 2088, 1005, 1055, 3171, 27852, 2097, 2022, 2439, 2065, 27737, 4073, 2024, 2025, 2081, 2000, 5383, 2023, 5081, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2549, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2629, 1033, 1032, 1033, 1012, 1996, 2088, 2740, 3029, 1006, 2040, 1007, 2405, 1996, 2034, 3795, 9867, 3189, 2006, 3424, 26591, 5012, 1006, 11113, 2099, 1007, 1999, 2297, 2000, 2265, 1996, 6612, 4254, 1997, 13070, 10327, 1999, 2040, 4655, 2408, 1996, 2088, 1012, 2023, 2988, 3491, 2008, 2274, 2041, 1997, 1996, 2416, 2040, 4655, 2018, 2062, 2084, 2753, 1003, 5012, 2000, 2353, 4245, 8292, 21890, 10483, 17822, 7076, 1998, 19857, 14604, 12519, 12898, 5267, 1999, 1008, 9686, 7474, 11319, 2050, 27441, 1008, 1998, 2777, 16066, 8591, 2378, 5012, 1999, 1008, 2358, 9331, 29598, 24163, 27631, 8740, 23446, 1008, 1999, 2902, 10906, 1012, 6660, 1010, 2062, 2084, 2753, 1003, 5012, 2000, 2353, 4245, 8292, 21890, 10483, 17822, 7076, 1998, 2482, 3676, 11837, 6633, 2015, 2001, 2988, 1999, 1008, 1047, 2571, 5910, 9257, 2721, 18583, 2063, 1008, 1012, 1996, 3189, 7108, 3429, 1003, 1997, 6677, 1999, 2119, 3088, 1998, 2148, 1011, 2264, 4021, 2000, 4800, 1011, 4319, 13070, 1006, 9108, 2099, 1007, 10327, 1012, 2009, 2582, 3936, 2008, 1008, 1047, 1008, 1012, 1008, 18583, 1008, 1041, 13070, 2000, 2353, 4245, 8292, 21890, 10483, 17822, 7076, 2001, 3378, 2007, 8319, 6677, 1999, 3088, 1006, 6255, 1003, 1007, 1010, 1996, 2789, 7095, 2555, 1006, 2753, 1003, 1007, 1010, 2148, 2264, 4021, 1006, 6282, 1003, 1007, 1998, 2530, 3534, 2555, 1006, 5824, 1003, 1007, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2475, 1033, 1032, 1033, 1012, 2195, 13070, 10327, 2031, 2042, 6233, 2920, 1999, 16514, 7870, 1999, 4286, 1010, 4919, 1010, 1008, 4607, 24163, 27631, 26924, 1008, 1010, 1008, 1055, 1008, 1012, 1008, 8740, 23446, 1008, 1010, 1008, 1047, 1008, 1012, 1008, 18583, 2063, 1008, 1010, 1008, 9353, 3170, 3406, 3676, 21162, 8670, 19042, 3490, 2072, 1008, 1010, 1008, 18404, 21781, 2015, 29347, 26549, 5740, 3736, 1008, 1998, 1008, 4607, 16429, 18908, 2121, 26924, 1008, 1012, 2027, 2024, 13643, 12061, 9686, 2912, 5051, 1998, 3728, 4227, 2582, 3795, 3086, 2011, 2108, 3205, 2011, 1996, 2040, 2004, 9470, 3424, 26591, 1011, 13070, 10327, 2000, 5009, 2470, 1010, 5456, 1010, 1998, 2458, 1997, 2047, 24479, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2629, 1033, 1032, 1033, 1012, 1996, 3327, 3012, 1997, 2122, 10327, 2003, 2037, 3754, 2000, 4503, 2152, 2504, 5012, 2000, 3674, 5850, 1010, 8558, 14879, 17261, 7047, 1998, 4852, 22822, 17062, 3012, 1998, 13356, 1012, 3365, 2913, 2031, 4484, 2008, 9686, 2912, 5051, 10327, 1998, 2037, 13070, 24418, 1010, 2024, 8851, 11860, 1999, 8323, 1998, 4279, 1999, 2119, 2764, 1998, 4975, 3032, 1012, 1996, 5081, 13686, 2011, 2122, 13070, 10327, 2003, 2174, 4654, 10732, 28483, 3064, 1999, 4975, 3032, 2349, 2000, 4942, 1011, 15502, 19548, 3785, 1010, 3532, 8985, 1010, 9740, 1998, 2491, 5761, 1010, 3768, 1997, 9867, 1998, 1996, 6203, 2705, 3424, 7712, 3217, 21102, 17946, 9650, 3454, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2575, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2581, 1033, 1032, 1033, 1012, 4311, 2031, 3491, 2152, 12477, 6165, 1997, 2777, 16066, 8591, 2378, 13070, 1008, 1055, 1008, 1012, 1008, 8740, 23446, 1008, 1006, 3680, 2050, 1007, 1999, 9871, 10906, 1999, 13841, 1006, 5824, 1003, 1007, 1010, 2148, 3088, 1006, 4720, 1003, 1007, 1010, 11154, 1006, 4413, 1012, 1022, 1003, 1007, 1010, 7387, 1006, 2756, 1012, 1020, 1003, 1007, 1010, 7938, 1006, 2676, 1012, 1021, 1003, 1007, 1010, 11554, 3465, 1006, 2385, 1012, 1022, 1003, 1007, 1998, 9835, 1006, 2403, 1012, 1018, 1003, 1007, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2475, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2620, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2692, 1033, 1032, 1033, 1012, 1999, 2263, 1010, 1996, 20272, 1997, 16839, 24163, 10092, 2140, 3734, 1998, 9108, 2099, 15245, 2349, 2000, 4607, 16429, 18908, 11610, 9071, 7275, 2013, 2668, 8578, 2020, 5401, 1012, 1015, 1003, 1998, 2321, 1012, 1018, 1003, 4414, 1010, 1999, 2148, 3088, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2487, 1033, 1032, 1033, 1012, 10655, 1010, 5915, 7457, 1999, 1996, 6165, 1997, 15245, 2349, 2000, 2482, 3676, 11837, 14545, 3366, 1011, 5155, 1008, 1047, 1008, 1012, 1008, 18583, 1008, 1010, 3384, 4135, 1011, 8247, 1011, 18749, 28282, 3366, 1011, 5155, 1008, 1037, 1008, 1012, 1008, 8670, 19042, 3490, 2072, 1008, 1006, 16914, 2140, 1011, 11113, 1007, 1010, 3384, 4135, 1011, 8247, 1011, 18749, 28282, 3366, 1011, 5155, 1008, 1052, 1008, 1012, 1008, 29347, 26549, 5740, 3736, 1008, 1006, 16914, 2140, 1011, 6643, 1007, 1010, 1998, 3668, 1011, 8674, 8247, 1011, 18749, 28282, 3366, 1006, 9686, 16558, 1007, 5155, 1008, 4607, 16429, 18908, 2121, 26924, 1008, 1012, 2031, 2042, 2988, 2408, 1996, 2088, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2475, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2549, 1033, 1032, 1033, 1012, 1999, 8174, 9264, 1010, 1996, 3446, 1997, 1008, 1052, 1008, 1012, 1008, 29347, 26549, 5740, 3736, 1008, 5155, 2482, 3676, 11837, 14545, 3366, 2001, 3943, 1003, 1010, 1997, 2029, 2676, 1003, 2020, 16914, 2140, 1011, 6443, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2629, 1033, 1032, 1033, 1010, 2096, 1999, 2634, 1010, 1037, 2570, 1012, 1018, 1003, 20272, 1997, 1008, 1052, 1008, 1012, 1008, 29347, 26549, 5740, 3736, 1008, 5155, 16914, 4877, 2001, 2988, 1999, 13553, 2729, 8323, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2575, 1033, 1032, 1033, 1012, 9108, 2099, 1011, 9686, 2912, 5051, 10327, 2031, 2042, 2988, 1999, 2902, 3734, 15245, 1006, 15030, 1007, 1010, 3391, 1999, 11806, 2729, 3197, 1006, 24582, 2271, 1007, 2073, 11311, 1011, 20419, 5022, 6114, 2013, 2070, 2512, 1011, 4012, 23041, 5555, 3468, 7870, 1006, 13316, 5104, 1007, 2164, 14671, 1010, 25409, 1010, 11888, 11192, 1010, 22935, 1998, 14234, 7870, 2020, 3811, 5360, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 8889, 2575, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2581, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 19317, 1033, 1032, 1033, 1012, 1996, 14053, 1998, 3659, 1997, 2122, 3811, 13070, 10327, 1999, 2902, 2729, 10906, 2071, 2947, 2031, 4997, 2740, 16360, 2121, 7874, 27466, 1998, 2022, 2019, 18355, 2005, 1996, 3949, 1997, 15245, 1997, 5022, 2007, 2122, 13316, 5104, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 24096, 2620, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 21926, 1033, 1032, 1033, 1012, 2750, 1996, 21328, 5081, 13686, 2011, 11113, 2099, 1010, 2592, 2006, 2049, 6612, 1998, 3171, 4254, 2003, 3132, 1999, 4975, 3032, 1010, 1998, 2947, 17727, 14728, 6413, 19388, 2005, 2049, 29174, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 18827, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 17788, 1033, 1032, 1033, 1012, 21106, 7073, 1997, 3343, 1011, 11153, 1010, 2740, 2729, 3667, 1010, 1998, 1996, 2236, 2313, 2055, 1996, 10831, 3378, 2007, 11113, 2099, 2003, 6827, 2000, 7969, 24479, 2005, 2925, 8213, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 23833, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 22907, 1033, 1032, 1033, 1012, 6516, 1010, 1996, 6614, 1997, 2023, 2817, 2001, 2000, 17908, 1996, 2405, 3906, 2006, 1996, 6612, 1998, 3171, 4254, 1997, 11113, 2099, 1999, 4975, 3032, 1010, 1999, 2344, 2000, 12367, 29174, 9942, 2107, 2004, 3424, 7712, 3217, 21102, 17946, 9650, 3454, 1998, 8985, 9740, 1998, 2491, 5761, 1999, 2122, 3741, 1012, 4725, 1063, 1001, 10819, 8889, 2575, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 6871, 7316, 5167, 2005, 11778, 4391, 1998, 18804, 1011, 16478, 1006, 26113, 2050, 1007, 1998, 18804, 1011, 4106, 1997, 8089, 2389, 2913, 1999, 4958, 5178, 4328, 6779, 1006, 17716, 1007, 11594, 2020, 2628, 1032, 1031, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 22407, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 25416, 2692, 24594, 1033, 1032, 1033, 1012, 12962, 9584, 1063, 1001, 10819, 8889, 2581, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2023, 11778, 3319, 1998, 18804, 1011, 4106, 2001, 2241, 2006, 2405, 4311, 1010, 1998, 2001, 3568, 11819, 2013, 12962, 6226, 1012, 11778, 3319, 1997, 1996, 3906, 1063, 1001, 10819, 8889, 2620, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1037, 11778, 3945, 2001, 3344, 2041, 9174, 2011, 21792, 1998, 1048, 2546, 1010, 1999, 19960, 4179, 3081, 9047, 7583, 1998, 4773, 1997, 4163, 2013, 2254, 2456, 2000, 2285, 5641, 1010, 2355, 1010, 2478, 1037, 5257, 1997, 22017, 20898, 9224, 1006, 1998, 1013, 2030, 1007, 1010, 2966, 3395, 5825, 1006, 20437, 1007, 1998, 3653, 1011, 4225, 3145, 22104, 1012, 2069, 2405, 2044, 2456, 2020, 2641, 2000, 5676, 2008, 1996, 4106, 7679, 2006, 6123, 8787, 3906, 2008, 17120, 2783, 5012, 7060, 1010, 8985, 6165, 1010, 9740, 5761, 1010, 1998, 6612, 3218, 11594, 1012, 8152, 1011, 8182, 4981, 1999, 2394, 1998, 2413, 2006, 1996, 6612, 1998, 1013, 2030, 3171, 14670, 1997, 11113, 2099, 1999, 4975, 3032, 2020, 5140, 1998, 9174, 16330, 2005, 11395, 2011, 21792, 1998, 1048, 2546, 2241, 2006, 4486, 1998, 29474, 1006, 1031, 2795, 1015, 1033, 1006, 1001, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 1056, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1007, 1012, 6920, 1010, 1996, 2440, 1011, 6981, 1997, 7792, 4981, 2020, 14155, 2429, 2000, 3653, 1011, 4225, 10502, 1998, 15945, 9181, 1006, 1031, 2795, 1015, 1033, 1006, 1001, 13433, 2638, 1012, 5890, 2620, 2683, 2575, 17465, 1012, 1056, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6415, 1024, 5365, 2265, 12654, 1024, 1996, 29609, 1999, 5365, 7487, 1996, 2601, 10047, 22049, 3012, 1997, 1996, 2187, 1998, 2037, 16021, 10450, 3085, 2342, 2005, 2373, 1012, 2508, 7632, 22573, 2078, 14409, 2149, 2006, 1996, 11417, 23808, 9013, 1998, 2060, 29609, 1998, 2129, 2027, 2024, 2074, 1996, 5955, 1997, 1996, 3256, 4059, 1012, 1996, 2146, 1011, 22710, 21877, 3527, 21850, 6632, 7635, 2003, 2279, 1012, 10972, 4380, 2063, 1521, 1055, 14451, 2015, 18520, 1521, 1055, 16924, 2015, 1012, 1998, 2852, 1012, 5199, 3608, 2006, 2010, 3423, 7465, 2004, 2002, 9590, 1996, 2187, 1521, 1055, 28616, 8557, 1997, 1996, 3423, 2291, 2000, 16385, 24116, 1998, 4071, 1997, 4613, 1012, 2000, 8816, 1996, 2265, 1010, 2157, 1011, 11562, 1996, 23025, 1010, 1998, 2059, 1523, 3828, 4957, 2004, 1529, 1524, 2030, 2224, 1996, 18801, 2447, 2917, 2023, 2733, 1024, 2048, 1997, 1996, 2502, 3441, 2023, 2733, 2031, 2042, 2055, 7897, 1998, 1996, 10047, 22049, 3012, 1997, 1996, 2187, 1024, 5365, 1521, 1055, 1998, 18520, 1521, 1055, 1012, 2119, 3441, 2298, 2046, 1996, 9273, 3388, 1997, 3451, 1044, 22571, 10085, 28884, 1997, 1996, 5409, 2785, 1012, 2027, 4366, 2000, 2022, 3966, 1997, 4071, 1998, 7072, 2021, 2041, 1997, 1996, 3239, 1997, 1996, 2270, 1010, 2027, 2079, 3649, 2027, 2064, 2000, 3844, 2039, 2037, 5694, 2007, 8767, 1998, 28973, 1012, 2116, 1997, 2149, 2648, 1997, 5365, 6878, 2054, 2001, 2183, 2006, 2021, 2085, 2045, 1521, 1055, 3350, 1012, 1998, 2009, 1521, 1055, 6748, 2084, 2057, 8615, 1012, 5365, 2926, 3268, 1037, 9580, 2027, 2113, 2003, 2061, 16360, 15916, 16885, 2000, 2116, 2008, 2009, 2064, 1521, 1056, 2022, 6086, 1999, 1996, 2422, 1997, 2154, 1012, 2061, 1999, 4768, 2027, 29449, 2006, 2037, 5694, 1521, 2916, 1010, 8902, 7630, 3207, 2007, 2151, 4099, 2040, 2097, 2444, 2007, 2068, 1999, 2008, 4768, 1010, 1998, 2059, 2552, 7135, 2065, 1998, 2043, 2027, 1521, 2128, 3236, 1012, 2057, 1521, 2310, 2464, 2023, 2733, 2062, 1998, 2062, 5694, 2272, 2830, 2040, 2020, 28028, 2046, 4223, 2011, 1996, 3928, 1999, 5365, 1012, 18520, 2003, 1996, 2576, 3670, 1997, 1996, 18672, 1999, 5365, 1998, 2003, 1996, 3819, 2742, 1997, 1996, 10047, 22049, 3012, 1997, 1996, 2187, 1012, 2007, 1037, 2047, 9446, 4911, 2296, 2733, 1010, 2057, 1521, 2128, 24740, 18520, 1521, 1055, 2369, 1011, 1996, 1011, 5019, 16924, 2015, 1012, 2009, 1521, 1055, 2019, 8985, 2008, 1521, 1055, 3659, 2083, 1996, 13165, 1997, 1996, 2187, 1024, 2224, 2373, 2000, 6033, 2115, 6716, 1012, 2009, 17016, 2035, 1997, 2149, 2043, 2037, 2373, 3138, 2058, 1996, 4896, 2057, 3404, 2000, 4047, 2149, 1012, 2000, 2428, 2298, 2012, 5365, 2057, 2655, 2006, 2508, 7632, 22573, 2078, 1010, 2040, 2038, 2042, 1037, 4603, 14158, 2054, 3632, 2006, 1999, 5365, 1012, 2720, 1012, 7632, 22573, 2078, 2025, 2069, 15841, 1996, 4078, 24330, 3085, 3226, 1997, 1996, 7702, 11417, 15493, 1521, 1055, 2021, 2428, 4152, 2046, 1037, 6748, 2298, 2012, 2129, 2023, 2601, 3226, 2038, 4961, 1998, 3659, 1999, 2256, 2554, 1012, 2009, 1521, 1055, 2200, 3154, 2339, 11992, 1010, 1998, 2926, 3017, 11992, 1010, 2024, 2025, 10979, 2045, 1010, 2138, 2216, 2542, 1999, 4768, 2123, 1521, 1056, 2215, 2151, 2422, 9716, 2006, 2037, 3595, 3268, 1012, 2057, 2156, 2023, 2542, 2041, 1999, 1996, 4127, 1997, 5691, 2108, 2081, 1010, 1998, 2040, 1996, 5365, 4306, 17991, 2105, 2007, 1517, 1998, 6753, 10317, 1012, 2008, 1521, 1055, 2339, 2057, 1521, 2222, 2036, 2831, 2007, 2508, 2055, 10972, 4380, 2063, 8669, 1997, 18520, 1521, 1055, 7897, 1998, 15336, 1997, 1996, 1040, 12273, 1012, 8694, 1999, 2000, 2963, 2129, 15011, 2023, 3226, 2038, 2042, 1998, 2071, 3613, 2000, 2022, 2006, 2256, 2126, 1997, 2166, 1012, 2059, 2057, 2831, 2007, 2852, 1012, 5199, 3608, 1010, 2040, 2003, 2019, 2742, 1997, 1996, 17859, 2187, 3594, 1996, 2375, 2000, 3046, 2000, 6033, 2037, 6716, 1012, 2002, 6661, 2007, 2149, 2129, 2002, 2003, 3554, 2125, 2025, 2028, 2021, 2093, 20543, 2002, 1521, 1055, 2042, 17773, 1012, 2002, 1521, 1055, 2042, 12923, 2011, 2231, 1011, 6787, 18856, 9581, 3406, 18738, 2005, 2107, 2477, 2004, 27652, 1517, 6414, 2138, 2002, 21090, 2015, 2007, 2037, 15306, 1012, 2017, 1521, 2222, 2963, 2129, 1037, 3226, 1010, 2066, 1996, 2665, 2929, 1010, 2038, 2699, 2000, 2224, 1996, 5434, 2025, 2000, 4047, 1010, 2021, 2000, 6033, 1012, 5674, 2065, 18520, 2018, 2506, 1996, 4073, 1997, 1996, 8112, 3447, 2000, 2224, 1996, 3423, 2291, 2000, 4223, 3087, 2040, 21090, 2015, 2007, 2068, 1012, 1996, 2187, 17382, 2369, 1996, 3928, 1012, 1996, 2175, 6632, 26830, 1012, 1998, 2027, 5342, 1999, 2010, 5192, 1012, 2021, 1996, 2204, 2739, 2003, 2008, 2007, 1996, 2422, 9716, 2006, 2068, 1010, 1996, 2390, 1997, 4768, 2097, 2735, 1998, 2448, 1012, 3693, 2149, 2023, 2733, 2005, 1037, 3193, 1997, 1996, 11686, 1012, 3141, 6971, 2009, 1521, 1055, 2053, 4687, 2111, 2024, 7567, 1004, 2129, 1996, 2187, 3594, 1996, 3423, 2291, 2000, 8132, 2111, 1024, 1523, 1996, 9376, 18777, 3012, 10540, 2404, 2046, 2173, 2011, 1037, 1011, 27177, 2015, 2066, 14720, 4487, 17695, 9488, 2008, 4047, 2037, 1520, 3167, 3808, 1010, 2092, 1011, 2108, 1998, 2449, 1521, 2114, 5126, 1524, 1006, 3679, 5653, 1010, 13323, 2861, 1010, 2418, 1007, 3745, 2023, 1024, 2265, 12654, 1024, 2023, 2733, 1010, 2057, 2202, 1037, 3338, 2013, 2256, 5156, 3579, 2006, 2502, 2231, 1012, 2009, 1521, 1055, 2025, 2004, 2065, 4331, 2987, 1521, 1056, 2031, 4349, 1998, 5913, 2021, 2057, 1521, 2128, 2635, 1037, 2298, 2012, 5365, 1517, 1998, 2926, 1996, 3017, 2143, 3068, 1012, 2000, 8816, 1996, 2265, 1010, 2157, 1011, 11562, 1996, 23025, 1010, 1998, 2059, 1523, 3828, 4957, 2004, 1529, 1524, 2030, 2224, 1996, 18801, 2447, 2917, 4606, 999, 2156, 2917, 2006, 2129, 2000, 2131, 1037, 2489, 3185, 4923, 2013, 3017, 5988, 1012, 2053, 8426, 1010, 2053, 7058, 9883, 1012, 2074, 8816, 1037, 2489, 3185, 2000, 3046, 2068, 2041, 1012, 2106, 2017, 3335, 1996, 2265, 1029, 2017, 2064, 8816, 1996, 16110, 2021, 2156, 2182, 2005, 2043, 1010, 2073, 1010, 1998, 2129, 2000, 4952, 2000, 1045, 8645, 2557, 2434, 2250, 5246, 1024, 15476, 1012, 2260, 1004, 2410, 1010, 2418, 1064, 6173, 2091, 2229, 1004, 2508, 7632, 22573, 2078, 2007, 2009, 2108, 2257, 1010, 1998, 2007, 3071, 4208, 2006, 8640, 1010, 2023, 2733, 2057, 2202, 1037, 3338, 2013, 4331, 2000, 2202, 1037, 2298, 2012, 5691, 1998, 2143, 2437, 1012, 2025, 2008, 2045, 3475, 1521, 1056, 1037, 2843, 1997, 4349, 1999, 4331, 1010, 1997, 2607, 1012, 1999, 3327, 2057, 2298, 2012, 1037, 3652, 6903, 1997, 1996, 2143, 3068, 1024, 1996, 3017, 2143, 3006, 1012, 3017, 2143, 3068, 2023, 2003, 2019, 8216, 3006, 1012, 2045, 2024, 15295, 1997, 8817, 1997, 2111, 1999, 2023, 3006, 6903, 2040, 1521, 1040, 2066, 2000, 3422, 3152, 2302, 2035, 1996, 13216, 3348, 1010, 25082, 1010, 1998, 3768, 1997, 25288, 2008, 2024, 3115, 1999, 2061, 2116, 1997, 5365, 1521, 1055, 3152, 2651, 1012, 2096, 5365, 2003, 5204, 1997, 2023, 3006, 1010, 2027, 2031, 7669, 4285, 2009, 1012, 2035, 2205, 2411, 1010, 2009, 1521, 1055, 2138, 2027, 3432, 2123, 1521, 1056, 3305, 2009, 2138, 2027, 2123, 1521, 1056, 2031, 1996, 2168, 21386, 2015, 2030, 4281, 1012, 2009, 1521, 1055, 2066, 1996, 6396, 2335, 1010, 2667, 2000, 4339, 2739, 3441, 2005, 11992, 1012, 1037, 2843, 1997, 2335, 1010, 2009, 2074, 2987, 1521, 1056, 2147, 1012, 1996, 3166, 2987, 1521, 1056, 2031, 1996, 2168, 9273, 3388, 1998, 2074, 2064, 1521, 1056, 9507, 2893, 1999, 1037, 10667, 2012, 1996, 2200, 2111, 2027, 4366, 2027, 1521, 2128, 2667, 2000, 3362, 1012, 3458, 1996, 7308, 1011, 1996, 2877, 22146, 2005, 1996, 2329, 2264, 2634, 2194, 1010, 2097, 9579, 2038, 2074, 2042, 3313, 1011, 4625, 1998, 2085, 2003, 2006, 1996, 2448, 1999, 1996, 2137, 8355, 1012, 3191, 2062, 1529, 2000, 4553, 2055, 1996, 3017, 2143, 3006, 2057, 2735, 2000, 1996, 8519, 2008, 2079, 2131, 2009, 1012, 2256, 2034, 4113, 1010, 6173, 2091, 2229, 1010, 2003, 1996, 5766, 1998, 3910, 1997, 3017, 23402, 25832, 2050, 1012, 4012, 1010, 1037, 18086, 2005, 3017, 3152, 2081, 2011, 8135, 2005, 8135, 1012, 2228, 1997, 2009, 2004, 1996, 11943, 2005, 3017, 5691, 1012, 2057, 6848, 1996, 8190, 5307, 8135, 1999, 5365, 1010, 1998, 2129, 2010, 2194, 2038, 2042, 1037, 4439, 2486, 2369, 6274, 1996, 3737, 4781, 2005, 3017, 3152, 1012, 2009, 2109, 2000, 2022, 3017, 3152, 2020, 2464, 2004, 2117, 1011, 3446, 2030, 3532, 3737, 2021, 1037, 4248, 2298, 2012, 2037, 2609, 2097, 4487, 13102, 2884, 2008, 9366, 1012, 2612, 1010, 2122, 3017, 3152, 3305, 2690, 2637, 1010, 1998, 2224, 2143, 2000, 10639, 1996, 3893, 7696, 1997, 7988, 2083, 14036, 1010, 2152, 1011, 3737, 3444, 3152, 1012, 2123, 1521, 1056, 3335, 3017, 5988, 1521, 1055, 2489, 3749, 999, 2175, 2000, 7479, 1012, 3017, 16567, 2863, 1012, 4012, 1013, 2557, 1998, 2017, 2097, 2131, 1037, 2489, 3185, 4923, 2074, 2000, 3046, 2068, 2041, 1012, 2053, 17786, 1010, 2053, 7058, 9883, 1012, 2074, 2204, 4024, 1012, 2508, 7632, 22573, 2078, 2059, 2057, 2831, 2007, 2508, 7632, 22573, 2078, 2055, 1996, 5719, 14652, 1999, 5365, 1998, 2339, 2027, 2123, 1521, 1056, 2404, 2041, 2327, 3017, 5691, 2066, 2027, 2106, 1999, 1996, 3585, 2287, 1997, 5365, 1012, 2003, 2045, 2428, 1037, 18258, 2045, 2030, 2003, 2009, 1044, 18863, 1029, 2057, 6848, 1996, 9366, 1997, 2108, 2304, 7384, 2098, 2005, 28428, 2489, 4613, 1010, 2662, 1521, 1055, 22965, 2923, 2929, 1006, 2748, 1010, 2027, 2428, 2024, 6183, 2009, 1007, 1998, 2037, 5719, 6724, 2058, 2339, 8398, 2180, 1012, 2182, 1521, 1055, 1037, 9374, 1024, 2085, 2027, 1521, 2128, 8851, 14357, 1523, 3185, 3340, 1524, 2000, 2448, 2005, 2436, 1012, 2003, 2045, 1037, 3382, 2027, 2071, 2663, 1029, 3383, 2027, 1521, 2128, 2893, 3816, 2039, 2006, 1996, 4489, 2090, 2108, 2759, 1998, 3769, 15859, 3367, 4331, 1012, 6971, 3855, 4638, 2041, 3017, 16567, 2863, 1012, 4012, 1516, 2228, 1997, 2068, 2004, 1996, 11943, 2030, 20907, 1997, 8135, 3152, 1012, 3422, 3152, 2006, 2151, 5080, 2478, 2037, 18726, 1012, 1006, 2009, 2499, 2307, 2005, 2149, 2006, 1996, 9733, 10439, 2005, 2543, 9189, 1013, 9733, 3539, 1012, 1007, 2000, 8816, 1996, 2265, 1010, 2157, 1011, 11562, 1996, 23025, 1010, 2059, 1523, 3828, 4957, 2004, 1529, 1524, 2030, 2224, 1996, 18801, 2447, 2917, 2250, 5246, 1024, 2257, 1022, 1004, 1023, 1010, 2325, 1064, 2508, 7632, 22573, 2078, 1004, 4901, 11462, 9428, 2471, 2302, 5060, 1010, 2859, 2003, 5168, 17657, 1996, 1057, 1012, 1055, 1012, 3383, 2635, 1037, 3931, 2013, 1996, 3354, 2586, 3690, 1521, 1055, 3478, 4750, 15336, 1010, 2859, 2003, 11333, 4726, 2162, 2114, 1996, 1057, 1012, 1055, 1012, 1517, 2025, 2007, 4517, 24582, 25526, 2015, 2021, 2083, 3171, 1998, 3451, 8309, 1012, 1998, 1996, 12459, 2518, 2003, 1010, 2027, 1521, 2128, 3045, 1012, 2023, 2822, 5274, 2003, 2635, 2116, 3596, 1012, 2070, 2706, 3283, 1010, 2057, 2716, 2115, 3086, 2000, 1996, 3171, 8309, 2859, 2003, 11333, 4726, 2114, 1996, 1057, 1012, 1055, 1012, 2037, 4333, 8309, 2038, 15767, 1012, 2023, 2733, 1010, 2057, 2202, 1037, 6748, 2298, 2012, 1996, 5081, 2053, 2028, 3849, 2000, 2022, 7079, 3086, 2000, 1517, 2012, 2560, 9428, 2053, 2028, 1999, 1996, 8112, 3447, 1012, 2339, 2024, 2027, 3098, 1996, 2341, 2000, 2256, 6716, 1029, 1996, 2822, 5274, 1997, 5365, 2057, 1521, 2222, 2707, 2011, 3331, 2000, 2508, 7632, 22573, 2078, 1997, 17653, 5365, 2055, 1996, 2822, 5274, 1997, 5365, 1012, 2339, 2024, 5365, 27021, 1517, 1996, 19169, 1011, 4314, 1997, 13350, 1010, 2040, 18172, 11703, 2854, 2151, 4066, 1997, 15657, 1517, 2893, 2046, 2793, 2007, 2822, 9387, 1029, 2054, 2024, 1996, 2822, 5327, 2000, 2131, 2041, 1997, 2023, 4326, 3510, 1029, 1996, 2822, 5274, 1997, 2149, 3316, 2004, 1997, 2263, 1996, 2822, 2231, 2018, 5086, 2062, 2084, 2531, 1010, 2199, 2440, 1011, 2051, 23307, 2015, 2000, 2079, 2498, 2021, 3046, 2000, 20578, 2046, 2637, 1521, 1055, 2231, 1998, 1057, 1012, 1055, 1012, 3316, 1012, 2445, 2008, 1010, 1998, 1996, 8112, 3447, 1521, 1055, 7279, 14856, 2102, 2005, 2616, 2025, 4506, 1010, 2009, 1521, 1055, 3383, 2025, 11341, 2008, 1037, 2280, 23971, 2472, 3728, 2056, 2008, 2296, 2350, 2149, 2194, 2038, 2042, 28719, 2046, 2011, 1996, 2822, 1012, 2023, 3957, 1996, 2822, 3229, 2000, 3119, 7800, 1010, 3316, 1521, 3361, 2592, 1010, 1998, 2925, 3488, 1012, 2831, 2055, 25297, 6202, 1012, 2024, 2057, 22503, 2005, 1037, 7071, 1029, 2057, 1521, 2222, 2831, 2007, 4901, 11462, 2055, 2859, 1521, 1055, 4333, 2162, 2007, 1996, 1057, 1012, 1055, 1012, 4901, 2003, 2028, 1997, 1996, 2088, 1521, 1055, 2877, 4614, 2006, 3361, 1998, 3171, 8309, 1012, 2144, 1996, 7731, 2865, 2003, 4208, 2006, 6221, 8398, 1010, 2017, 2763, 4033, 1521, 1056, 2657, 2008, 1996, 2822, 6089 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2577, 11417, 12439, 2003, 2028, 1997, 1996, 2877, 4614, 2006, 1996, 3234, 2277, 1999, 1996, 2088, 1012, 2002, 2003, 1996, 3166, 1997, 2062, 2084, 2321, 2808, 1010, 2164, 7409, 2000, 3246, 1998, 1996, 2203, 1998, 1996, 2927, 1010, 1996, 2048, 1011, 2112, 8308, 1997, 10190, 4831, 2198, 2703, 2462, 1010, 1998, 2087, 3728, 1010, 11295, 16138, 1024, 2784, 5290, 1999, 1996, 7398, 2301, 3234, 2277, 1012, 11417, 12439, 2038, 2074, 2513, 2013, 4199, 1010, 2073, 2002, 3139, 1996, 3181, 8172, 1997, 4831, 12122, 16855, 1998, 1996, 2602, 1997, 4831, 4557, 1012, 3234, 2088, 3189, 12130, 5696, 2317, 3728, 3236, 2039, 2007, 11417, 12439, 2000, 6848, 2122, 2824, 1998, 2054, 2027, 2812, 2005, 1996, 2925, 1997, 1523, 11295, 16138, 1012, 1524, 19296, 2099, 1024, 2054, 2003, 11295, 16138, 1029, 2003, 2009, 2025, 2074, 2019, 3535, 2000, 2128, 23544, 1996, 2277, 2000, 2191, 2009, 2062, 8702, 2000, 11295, 19592, 2040, 2024, 10027, 1997, 10774, 1029, 11417, 12439, 1024, 11295, 16138, 2003, 1996, 2433, 1997, 16138, 2008, 2003, 2108, 2141, 2013, 1037, 2832, 1997, 2784, 3234, 5290, 2008, 2211, 2007, 4831, 6688, 15031, 1010, 2008, 2506, 1999, 1996, 2307, 3234, 14524, 5750, 1997, 1996, 3054, 1011, 3983, 2301, 1010, 1998, 2008, 2584, 1037, 2152, 2391, 1997, 12301, 3689, 2012, 12111, 2462, 1010, 2029, 2038, 2085, 2042, 2445, 2019, 23949, 7613, 2011, 2198, 2703, 2462, 1998, 12122, 16855, 10760, 2277, 2003, 2000, 3305, 2993, 2004, 1037, 15661, 1006, 4012, 23041, 3695, 1007, 1997, 17102, 1999, 3260, 1010, 2719, 2011, 6860, 2007, 1996, 2935, 4441, 4828, 1998, 2011, 2019, 7552, 27013, 1999, 2119, 2773, 1998, 28958, 1012, 2004, 1996, 8200, 1523, 2433, 1524, 1997, 6986, 15061, 2594, 16138, 4594, 10968, 7988, 1010, 1998, 1996, 8200, 1523, 2433, 1524, 1997, 5781, 7988, 4594, 6986, 15061, 2594, 7988, 1010, 2000, 2022, 4594, 1999, 2735, 2011, 1996, 8200, 1523, 2433, 1524, 1997, 4675, 1011, 13708, 16138, 2044, 1996, 19583, 1997, 2530, 4828, 10497, 5358, 1010, 2061, 1010, 2085, 1996, 8200, 1523, 2433, 1524, 1997, 4675, 1011, 13708, 7988, 2003, 2108, 4594, 2011, 1996, 8200, 1523, 2433, 1524, 1997, 11295, 16138, 1012, 2023, 2929, 2003, 2119, 16058, 5533, 1006, 1996, 2277, 6224, 2000, 2022, 1037, 2062, 3819, 7409, 2000, 2014, 7746, 18591, 1007, 1998, 1037, 3433, 2000, 1996, 17093, 3226, 1999, 2029, 1996, 8036, 2442, 2022, 21491, 1006, 1037, 3226, 2085, 6233, 10420, 2000, 1996, 4752, 1007, 1012, 19296, 2099, 1024, 2017, 2110, 2008, 14866, 12034, 2819, 2003, 1996, 3145, 12111, 2462, 6254, 2005, 1996, 2784, 5290, 1997, 1996, 3234, 2277, 1012, 2054, 2079, 2057, 4553, 2013, 14866, 12034, 2819, 2008, 2003, 6827, 2005, 1996, 2925, 1997, 1996, 2277, 1029, 11417, 12439, 1024, 14866, 12034, 2819, 19514, 2008, 2054, 1996, 2277, 4013, 25154, 2015, 2003, 2995, 1024, 2025, 2074, 2995, 1011, 2005, 1011, 10774, 1010, 2021, 2995, 1010, 2558, 1012, 2008, 2003, 1010, 1996, 3234, 4366, 2003, 2025, 2074, 2028, 1523, 7984, 1524, 1999, 1037, 17006, 1997, 3412, 22628, 2030, 2088, 8584, 2015, 1025, 1996, 3234, 4366, 2003, 1996, 3606, 1997, 1996, 2088, 1010, 2138, 2009, 2003, 1996, 11449, 1997, 1996, 2028, 2995, 2643, 1012, 2008, 2003, 1037, 28089, 10368, 1998, 4675, 29415, 4366, 1012, 2021, 2009, 2003, 1996, 4366, 2006, 2029, 16138, 4832, 2030, 4212, 5685, 23581, 2009, 2003, 1996, 2927, 1997, 3234, 3260, 1012, 19296, 2099, 1024, 1999, 12786, 2070, 1997, 1996, 2524, 3980, 2006, 2166, 3314, 1010, 4424, 9615, 1010, 1998, 1996, 8292, 29521, 3686, 17911, 1010, 2017, 3602, 2008, 2057, 2323, 14171, 2256, 2653, 1012, 2738, 2084, 2927, 2007, 8635, 2066, 1523, 1996, 2277, 12011, 1012, 1012, 1012, 1524, 1010, 2017, 6592, 2057, 4088, 2034, 2007, 1996, 8036, 1010, 5517, 2008, 1523, 1996, 8036, 7657, 1012, 1012, 1012, 1524, 2054, 2003, 1996, 5056, 1997, 2023, 1029, 1998, 2000, 1037, 10644, 4378, 1010, 2180, 1521, 1056, 2107, 8635, 2145, 2991, 2006, 12419, 5551, 1029, 11417, 12439, 1024, 9918, 2013, 3412, 3691, 1006, 2066, 9918, 2013, 8990, 2035, 2060, 3596, 1997, 3691, 1007, 2991, 2006, 12419, 5551, 1999, 1037, 2695, 1011, 2715, 3226, 1012, 1523, 1996, 8036, 7657, 1012, 1012, 1012, 1524, 2003, 1037, 2208, 1011, 2689, 2099, 1025, 2009, 1521, 1055, 1037, 19828, 4366, 2008, 2064, 6073, 26881, 2695, 1011, 2715, 2015, 2041, 1997, 1996, 5472, 8758, 1997, 2969, 1011, 16326, 1999, 2029, 3691, 1011, 4447, 2991, 2006, 12419, 5551, 1012, 19296, 2099, 1024, 2017, 1521, 2310, 2074, 2513, 2013, 1037, 2146, 3204, 1999, 4199, 5266, 1996, 8172, 1997, 4831, 12122, 16855, 1998, 1996, 2602, 1997, 4831, 4557, 1012, 2054, 2003, 1996, 6888, 2066, 2006, 1996, 2598, 1999, 4199, 1010, 2119, 2013, 2216, 2306, 1998, 2648, 1997, 1996, 2277, 1029, 11417, 12439, 1024, 3553, 2000, 2416, 3134, 1010, 2941, 1012, 1996, 2277, 2001, 4415, 1999, 5325, 2007, 1996, 15741, 3247, 1997, 4831, 12122, 2000, 17738, 17457, 1996, 3242, 1997, 2848, 1010, 2021, 1996, 5325, 2038, 2042, 28445, 1998, 4831, 4557, 2097, 3613, 2000, 23306, 1996, 2277, 1521, 1055, 3298, 2046, 2019, 11295, 2925, 1010, 2096, 29455, 1996, 3194, 2282, 1997, 1996, 3347, 4226, 1997, 2848, 2061, 2008, 2009, 4150, 1037, 12130, 2000, 2008, 3260, 1010, 2025, 2019, 17727, 2098, 14428, 3372, 2000, 2009, 1012, 19296, 2099, 1024, 2007, 1996, 2602, 1997, 4831, 4557, 1010, 1996, 2972, 2088, 2001, 2445, 1037, 5510, 1997, 16138, 2004, 1037, 2765, 1997, 1996, 25493, 2865, 6325, 1012, 2007, 1996, 3234, 2277, 2085, 2006, 3071, 1521, 1055, 7217, 1010, 2129, 2064, 1996, 2277, 3857, 2006, 2023, 11071, 1029, 11417, 12439, 1024, 1045, 2876, 1521, 1056, 4175, 2205, 2172, 2006, 10882, 19250, 2865, 11071, 1025, 2065, 3035, 3870, 2462, 2030, 5912, 26887, 2018, 2351, 2076, 1996, 12156, 6970, 2890, 16206, 2819, 1010, 3086, 2052, 2031, 2855, 5429, 2000, 2563, 2030, 2148, 3088, 1012, 1996, 11071, 2006, 2029, 1996, 2277, 1997, 1996, 7398, 2301, 2064, 3857, 2003, 1996, 11449, 2076, 2122, 2627, 2416, 3134, 1997, 2049, 2219, 9487, 8995, 3012, 1010, 19676, 1999, 1996, 12783, 2008, 2234, 2000, 4199, 2000, 2360, 9119, 2000, 12122, 16855, 1998, 2008, 10979, 2010, 6332, 2007, 2107, 12024, 1010, 2004, 2092, 2004, 1999, 1996, 17401, 1997, 7083, 2008, 3569, 1996, 2267, 1997, 9310, 1999, 2037, 2147, 1012, 19296, 2099, 1024, 2017, 2985, 2070, 2051, 2197, 2095, 2007, 7185, 15214, 8649, 12798, 1999, 2010, 2188, 5801, 1997, 9204, 9149, 1012, 2054, 2106, 2017, 4553, 2013, 2115, 2051, 2091, 2045, 2008, 2097, 2507, 2149, 2070, 12407, 1997, 2054, 2057, 2064, 5987, 2013, 2010, 2004, 3387, 1997, 4199, 1029, 11417, 12439, 1024, 2057, 6936, 1037, 2898, 2846, 1997, 7832, 1999, 2019, 3178, 1011, 2146, 4512, 1012, 2054, 4930, 2033, 2087, 3928, 2135, 2001, 2010, 11295, 8426, 1024, 2010, 4824, 2008, 1996, 2277, 2018, 2000, 2175, 2006, 1996, 11295, 5805, 1999, 3763, 2637, 5685, 1010, 2011, 5331, 1010, 2802, 1996, 2088, 1012, 1045, 2001, 2036, 4699, 2008, 2002, 15583, 2033, 2005, 3015, 1996, 8424, 2000, 2022, 3234, 1010, 2029, 1045, 2202, 2004, 1037, 3696, 2008, 2002, 18754, 2000, 5290, 1996, 2277, 2011, 1037, 2832, 1997, 11295, 28406, 1012, 19296, 2099, 1024, 1999, 11295, 16138, 1010, 2017, 4339, 2008, 1523, 1996, 2436, 1997, 2848, 1010, 2059, 1010, 2003, 2119, 2019, 2436, 1997, 6819, 20142, 6651, 2058, 1996, 6189, 1997, 3606, 1996, 3234, 2277, 12011, 1998, 2019, 2436, 1997, 4259, 13645, 5952, 1999, 2029, 1996, 6189, 1997, 3606, 2003, 8542, 2041, 1999, 2293, 1012, 1524, 2011, 2130, 10644, 6115, 1010, 4831, 4557, 2097, 2031, 2053, 3291, 4755, 2041, 1996, 5704, 2008, 2175, 2247, 2007, 1996, 3732, 2535, 1012, 2054, 1999, 2115, 3193, 2097, 2022, 1996, 4602, 7860, 2005, 2032, 1999, 8650, 1996, 12209, 1997, 1996, 2277, 1029, 11417, 12439, 1024, 23218, 2041, 1037, 2126, 2000, 2191, 1996, 3234, 6378, 17171, 1996, 19723, 16885, 3451, 1043, 28199, 2964, 10760, 6923, 10652, 2008, 2673, 1999, 1996, 2529, 4650, 2003, 6081, 1998, 6670, 5243, 3468, 5685, 2725, 2061, 2302, 2635, 1996, 3341, 2125, 2216, 3234, 20488, 2008, 4119, 1043, 28199, 2964, 2012, 2049, 4563, 1006, 2107, 2004, 2256, 20488, 2055, 2273, 1010, 2308, 1010, 1998, 2037, 2157, 3276, 1007, 2003, 1037, 4121, 4119, 1010, 2025, 2069, 2005, 4831, 4557, 2021, 2005, 2296, 3836, 1999, 1996, 2277, 1012, 19296, 2099, 1024, 3383, 2028, 1997, 4831, 4557, 1521, 1055, 2087, 2590, 6567, 1999, 1996, 3134, 3805, 2097, 2022, 8130, 1037, 3187, 1997, 2110, 1006, 10712, 6419, 7185, 16985, 22987, 3695, 14324, 5643, 1007, 1012, 2054, 11647, 2323, 2002, 2298, 2005, 2043, 6195, 4022, 23936, 2005, 14324, 5643, 1010, 2004, 2092, 2004, 1996, 2717, 1997, 1996, 12731, 4360, 1029, 11417, 12439, 1024, 2054, 1996, 12731, 4360, 3791, 2682, 2035, 2003, 1037, 2689, 1997, 12148, 3226, 1010, 2061, 2008, 2009, 4150, 1037, 2173, 2073, 10904, 2273, 1998, 2308, 3710, 1996, 5415, 2277, 2005, 1037, 2051, 2077, 4192, 2000, 2037, 2334, 5231, 1010, 2025, 1037, 2173, 2073, 2476, 1011, 9735, 2024, 11696, 1012, 1996, 2273, 4217, 2000, 2022, 3187, 1997, 2110, 1998, 2061, 16643, 8525, 3406, 1006, 1996, 12156, 2708, 1011, 1997, 1011, 3095, 1007, 2323, 2022, 2273, 5462, 2000, 2008, 2689, 1997, 12148, 3226, 1998, 2000, 1996, 2784, 1998, 5041, 5073, 3431, 2008, 14972, 2009, 2097, 5478, 1012, 19296, 2099, 1024, 2129, 2097, 4831, 4557, 1521, 25097, 11234, 2013, 2010, 8646, 1521, 1055, 1998, 1999, 2054, 3971, 2097, 2009, 2022, 2714, 1029, 11417, 12439, 1024, 1045, 2228, 2057, 1521, 2222, 2156, 1037, 4831, 2040, 3632, 2041, 2000, 1996, 5801, 1997, 4199, 2521, 2062, 4703, 1010, 1998, 1045, 3246, 2057, 1521, 2222, 2031, 1037, 21179, 18513, 3686, 2008, 4473, 2149, 2000, 17886, 1996, 4138, 23848, 12911, 5007, 1997, 2198, 2703, 2462, 1998, 12122, 16855, 1010, 2302, 14255, 2989, 2006, 2062, 23848, 12911, 4818, 3430, 1012, 19296, 2099, 1024, 4661, 1996, 6730, 22481, 1006, 1998, 2115, 2047, 2338, 999, 1007, 1010, 2054, 2003, 2070, 6827, 3752, 2005, 11295, 10774, 2000, 5587, 2000, 2037, 9433, 2008, 2097, 9002, 2000, 1037, 17075, 1998, 8702, 7409, 2000, 16138, 1999, 1996, 7398, 2301, 1029, 11417, 12439, 1024, 2269, 2728, 23594, 1521, 1055, 1523, 16138, 1524, 2186, 10760, 22477, 1998, 1996, 2338, 2483, 1996, 2190, 4955, 2000, 1996, 2277, 1997, 1996, 2925, 2008, 1045, 2113, 1012, 2296, 3234, 3583, 1999, 2637, 2323, 18015, 2049, 22110, 2401, 1998, 4639, 2495, 3454, 2005, 1037, 2095, 1998, 11092, 1523, 16138, 1524, 2612, 1012, 1996, 3463, 2052, 2022, 1010, 1045, 2228, 1010, 9487, 1012, 2035, 7928, 6866, 2012, 3234, 2088, 3189, 2024, 8777, 2094, 1012, 2096, 21813, 5981, 2003, 6160, 1998, 6628, 1010, 3531, 3602, 2008, 1999, 1996, 3037, 1997, 8498, 1037, 25825, 1998, 14044, 2504, 1997, 6594, 1010, 7928, 4820, 27744, 2653, 2030, 3167, 4491, 1517, 2030, 2216, 2008, 2024, 8357, 2011, 1996, 10195, 2000, 2022, 17044, 14540, 2100, 4337, 3512, 1998, 20187, 1517, 2097, 2025, 2022, 2405, 1012, 4067, 2017, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1523, 2055, 3348, 2926, 2273, 2024, 2141, 4895, 26657, 2094, 1025, 2057, 2453, 2471, 2360, 2273, 2024, 2141, 5506, 1012, 2027, 20071, 3362, 20039, 6229, 2027, 3362, 2624, 6593, 3012, 1012, 1524, 1517, 1043, 1012, 1047, 1012, 8812, 2669, 1010, 1996, 2412, 8523, 3436, 2158, 1523, 2005, 2023, 3114, 1996, 2117, 12111, 2473, 2163, 2008, 2035, 1996, 4831, 1521, 1055, 4252, 2323, 2022, 7791, 2000, 1998, 3970, 1010, 2130, 2043, 2009, 2003, 2025, 2445, 4654, 4937, 9072, 2527, 2021, 2003, 3818, 1999, 1996, 6623, 6912, 1997, 2010, 23848, 12911, 5007, 2007, 1996, 19676, 6808, 1997, 13752, 1010, 21195, 1998, 19195, 1996, 8998, 1997, 4752, 1012, 1524, 1517, 3002, 2198, 2703, 2462, 1010, 2236, 4378, 1010, 2233, 2459, 1010, 2857, 1006, 7902, 2794, 1007, 1996, 2277, 1010, 2005, 5109, 2085, 1010, 2038, 4320, 2195, 25332, 5994, 1037, 3677, 1997, 3141, 1010, 2065, 2025, 2467, 5525, 4198, 1010, 3314, 1012, 2048, 1997, 2122, 2024, 3691, 1998, 12795, 1012, 2004, 1996, 6259, 1010, 3451, 1010, 1998, 7191, 3691, 1997, 1996, 2277, 2038, 2042, 4457, 2013, 2302, 1998, 1010, 2521, 2205, 2411, 1010, 25174, 2094, 2013, 2306, 1010, 1037, 3145, 2391, 1997, 18974, 1998, 4487, 14416, 10992, 2038, 2042, 1996, 3267, 1997, 2158, 1012, 1998, 1010, 1999, 2116, 3971, 1010, 1996, 11865, 15472, 6824, 2038, 2042, 13798, 1998, 1010, 2011, 5331, 1010, 3510, 1998, 2155, 1012, 2045, 2003, 1037, 6517, 19728, 1999, 2008, 2074, 2043, 1996, 2117, 12111, 2473, 2001, 22671, 1996, 10305, 4434, 2090, 3510, 1010, 4013, 16748, 3370, 1010, 1998, 1523, 1996, 10721, 10461, 1997, 2273, 1524, 1006, 11721, 21041, 2819, 3802, 11867, 2229, 1010, 4868, 1007, 1010, 1996, 2225, 2001, 3909, 2091, 1996, 22274, 1010, 16775, 10314, 1997, 24528, 24422, 1010, 1996, 4424, 4329, 1010, 1998, 3423, 3550, 11324, 1012, 1996, 9530, 6895, 6632, 2099, 11397, 1010, 1999, 2054, 2003, 2028, 1997, 2062, 17092, 6981, 1997, 1996, 2473, 1006, 28177, 1010, 4700, 1011, 4720, 1007, 1010, 3764, 1997, 1996, 1523, 4424, 6459, 1997, 2158, 1998, 1996, 2529, 4513, 1997, 14627, 1524, 1998, 2129, 1523, 1996, 4490, 3209, 2029, 2024, 5372, 2000, 9530, 9103, 9692, 2293, 1998, 2029, 2024, 17747, 1999, 15802, 2007, 10218, 2529, 13372, 2442, 2022, 8686, 2007, 2307, 7065, 20935, 1012, 1524, 2027, 13155, 2008, 1523, 1996, 7191, 5919, 1997, 2151, 7709, 2515, 2025, 12530, 9578, 2006, 18006, 11174, 2030, 2006, 2019, 9312, 1997, 17108, 1010, 2021, 2442, 2022, 4340, 2011, 7863, 4781, 1010, 1524, 9073, 2008, 2122, 1010, 1523, 2241, 2006, 1996, 3267, 1997, 1996, 2529, 2711, 1998, 2010, 4490, 1010, 7969, 1996, 2440, 3168, 1997, 8203, 2969, 1011, 3228, 1998, 2529, 4013, 16748, 3370, 1999, 1996, 6123, 1997, 2995, 2293, 1012, 1524, 1999, 2116, 3971, 1010, 1996, 21179, 18513, 3686, 1997, 2198, 2703, 2462, 1517, 2926, 1006, 2021, 2025, 3132, 2000, 1007, 2010, 4937, 27635, 6190, 2006, 1996, 1523, 8006, 1997, 1996, 2303, 1524, 1517, 2001, 2019, 3449, 14194, 8524, 3508, 1998, 3639, 1997, 2119, 2529, 6679, 19300, 2063, 1998, 1996, 17289, 2930, 1997, 1996, 13645, 4552, 2006, 1996, 2277, 1999, 1996, 2715, 2088, 1012, 1996, 16931, 2015, 2008, 6003, 2855, 1998, 2061, 15615, 2135, 2206, 1996, 2473, 2020, 8081, 4383, 2006, 4424, 5609, 1010, 2926, 24528, 24422, 1010, 2021, 2020, 4821, 6461, 2012, 2119, 2277, 3691, 1998, 1996, 3151, 3234, 4824, 1997, 2529, 3267, 1012, 2096, 1996, 2473, 2003, 2411, 1010, 1998, 2025, 2302, 2070, 2204, 3114, 1010, 6367, 2005, 2383, 1037, 2205, 3893, 3193, 1997, 5609, 1010, 2045, 2024, 1999, 2755, 1037, 3278, 2193, 1997, 17358, 16234, 1010, 2107, 2004, 1024, 1523, 18345, 2006, 2122, 6481, 1010, 4124, 1997, 1996, 2277, 2089, 2025, 16617, 4725, 1997, 4182, 2491, 2029, 2024, 2179, 7499, 13966, 2011, 1996, 4252, 3691, 1997, 1996, 2277, 1999, 2049, 4895, 21508, 1997, 1996, 7746, 2375, 1524, 1006, 28177, 1010, 4868, 1007, 1012, 3435, 2830, 2000, 1996, 2783, 3663, 1012, 2058, 1996, 2627, 2093, 2086, 1010, 4831, 4557, 2038, 4912, 2000, 4769, 2536, 7860, 1998, 3980, 5307, 1996, 2155, 1012, 2004, 1045, 1521, 2310, 3264, 1010, 1996, 2765, 2038, 2042, 1010, 2006, 1996, 2878, 1010, 1523, 2172, 12532, 4103, 1010, 6724, 1010, 1998, 9135, 1010, 3243, 1037, 2978, 1997, 2009, 24135, 2105, 2008, 2028, 3160, 1024, 1520, 2024, 9196, 1998, 2942, 2135, 19316, 10774, 2085, 2583, 2000, 4374, 4151, 15661, 1029, 1521, 1524, 1998, 1996, 2048, 2502, 3314, 2153, 1010, 2009, 3849, 2000, 2033, 1010, 2024, 3691, 1998, 12795, 1012, 2061, 1010, 4953, 1996, 2034, 1010, 2054, 4066, 1997, 3691, 2515, 1996, 11815, 4654, 27794, 3370, 16095, 2483, 2474, 20624, 10711, 4366, 1998, 10295, 1029, 4459, 24547, 3877, 1010, 1999, 1037, 2337, 2418, 9491, 2005, 2474, 11359, 2050, 1010, 9251, 2008, 2009, 2003, 2112, 1997, 1996, 6623, 12156, 23848, 12911, 5007, 1998, 2004, 2107, 2057, 2442, 16519, 1996, 2206, 1024, 2013, 1996, 4252, 1997, 4831, 2015, 2083, 2381, 1010, 2057, 2442, 21358, 27972, 2008, 4831, 4557, 3685, 4298, 2022, 1999, 7561, 1999, 2010, 6623, 23848, 12911, 5007, 7175, 3314, 1997, 4752, 1998, 25288, 1010, 1998, 2947, 2010, 4252, 2008, 2104, 3056, 1010, 5362, 2641, 3572, 1010, 4151, 15661, 2064, 2022, 2445, 2000, 5381, 1999, 12052, 8146, 2003, 6669, 9398, 1998, 5105, 2011, 1996, 4151, 4382, 1025, 2000, 2272, 2000, 2151, 2060, 7091, 2003, 2000, 2059, 2655, 2046, 3160, 1996, 4252, 3691, 1997, 3025, 4831, 2015, 1998, 8821, 1996, 2972, 8313, 1997, 16138, 2003, 2170, 2046, 3160, 1012, 2079, 2057, 2059, 4060, 1998, 5454, 2029, 12209, 1997, 2029, 4831, 2015, 2000, 5138, 1029, 2008, 2052, 2022, 9092, 15464, 21723, 2000, 1037, 2433, 1997, 8330, 2964, 1012, 2172, 2071, 2022, 2056, 2182, 2055, 1996, 3267, 1997, 1996, 12156, 23848, 12911, 5007, 1006, 1998, 2182, 1045, 16755, 2023, 6851, 4106, 3024, 2011, 3889, 15315, 29147, 8586, 1007, 1010, 2021, 1045, 2215, 2000, 2191, 2093, 3937, 2685, 1012, 2034, 1010, 2004, 2038, 2042, 4197, 2041, 14518, 2335, 1010, 2021, 4593, 3791, 2000, 2022, 4197, 2041, 2153, 1010, 2358, 1012, 2198, 2703, 2462, 1010, 1999, 5220, 2483, 13440, 3695, 1010, 3090, 4415, 1998, 2302, 8263, 1010, 1996, 2206, 1024, 2174, 1010, 1996, 2277, 2128, 10354, 27972, 2015, 2014, 3218, 1010, 2029, 2003, 2241, 2588, 6730, 18919, 1010, 1997, 2025, 17927, 2000, 7327, 7507, 15061, 2594, 15661, 9196, 5381, 2040, 2031, 19316, 1012, 2027, 2024, 4039, 2000, 2022, 4914, 2045, 3406, 2013, 1996, 2755, 2008, 2037, 2110, 1998, 4650, 1997, 2166, 7863, 2135, 24528, 29201, 2008, 2586, 1997, 2293, 2090, 4828, 1998, 1996, 2277, 2029, 2003, 3696, 7810, 1998, 3466, 2098, 2011, 1996, 7327, 7507, 15061, 1012, 4661, 2023, 1010, 2045, 2003, 2178, 2569, 13645, 3114, 1024, 2065, 2122, 2111, 2020, 4914, 2000, 1996, 7327, 7507, 15061, 1010, 1996, 11633, 2052, 2022, 2419, 2046, 7561, 1998, 6724, 4953, 1996, 2277, 1521, 1055, 4252, 2055, 1996, 27427, 14643, 4747, 12083, 15148, 1997, 3510, 1012, 1006, 11968, 6391, 1007, 2404, 3432, 1010, 2057, 2031, 1996, 6623, 12156, 23848, 12911, 5007, 1997, 2198, 2703, 2462, 5517, 2008, 10774, 2040, 2031, 2042, 9196, 1998, 19316, 3685, 4374, 4151, 15661, 1012, 2057, 2059, 2031, 1996, 6623, 12156, 23848, 12911, 5007, 1997, 4831, 4557, 1010, 2004, 10009, 2011, 2720, 1012, 24547, 3877, 1010, 5517, 2008, 2070, 10774, 2040, 2031, 2042, 9196, 1998, 19316, 2064, 4374, 4151, 15661, 1012, 1996, 3291, 2182, 2003, 5793, 1012, 16378, 1010, 2045, 2024, 8414, 1006, 9933, 1010, 2762, 1010, 4385, 1007, 2040, 2031, 10009, 16095, 2483, 2474, 20624, 10711, 2004, 2720, 1012, 24547, 3877, 2038, 1010, 1998, 2045, 2024, 2500, 1006, 3735, 1010, 11113, 2361, 1012, 15775, 18780, 1010, 11113, 2361, 1012, 7099, 1010, 4385, 1012, 1007, 2040, 2031, 10009, 16095, 2483, 2474, 20624, 10711, 1999, 4363, 2007, 2198, 2703, 2462, 1998, 1996, 2127, 2085, 8335, 1998, 3154, 4252, 1997, 1996, 2277, 1012, 1996, 3291, 2182, 1010, 2153, 1010, 2003, 5793, 1012, 2353, 1010, 2045, 2003, 2023, 16124, 1998, 8796, 2755, 1024, 16095, 2483, 2474, 20624, 10711, 18496, 2015, 2993, 2061, 12192, 2000, 13249, 2075, 1010, 27894, 15931, 1012, 2029, 1999, 2735, 13275, 2023, 5793, 3160, 1024, 2065, 1037, 4831, 2003, 4011, 2000, 9375, 1998, 6985, 8998, 1010, 2021, 2612, 5320, 6724, 1998, 18185, 2055, 8998, 1010, 1999, 2054, 2126, 2003, 2009, 1523, 23848, 12911, 4818, 1524, 1998, 1523, 23949, 1524, 1029, 2044, 2035, 1010, 2004, 7185, 12140, 10634, 2229, 1010, 1055, 1012, 1046, 1012, 1010, 5275, 1999, 23848, 12911, 5007, 1024, 3836, 1998, 6697, 1997, 1996, 4752, 1006, 20066, 11638, 2401, 2811, 1010, 2289, 1007, 1010, 1996, 23848, 12911, 5007, 2038, 2093, 3937, 5704, 1024, 2000, 1523, 9536, 1996, 11815, 4752, 1524, 1010, 2000, 1523, 6985, 1996, 4752, 2114, 4941, 10697, 1010, 1524, 1998, 1523, 25037, 1996, 4752, 1012, 1524, 2720, 1012, 24547, 3877, 1521, 1055, 20563, 3508, 2013, 2198, 2703, 2462, 1521, 1055, 2857, 2236, 4378, 2003, 18636, 2005, 1037, 2261, 4436, 1010, 2021, 2028, 2097, 10514, 26989, 3401, 2182, 1024, 2008, 1996, 2397, 3907, 21179, 13355, 3024, 2019, 2590, 10981, 2043, 2002, 3090, 1024, 1523, 2005, 2023, 3114, 1996, 2117, 12111, 2473, 2163, 2008, 2035, 1996, 4831, 1521, 1055, 4252, 2323, 2022, 7791, 2000, 1998, 3970, 1010, 2130, 2043, 2009, 2003, 2025, 2445, 4654, 4937, 9072, 2527, 2021, 2003, 3818, 1999, 1996, 6623, 6912, 1997, 2010, 23848, 12911, 5007, 2007, 1996, 19676, 6808, 1997, 13752, 1010, 21195, 1998, 19195, 1996, 8998, 1997, 4752, 1012, 1524, 1006, 7902, 2794, 1007, 1012, 1999, 2054, 2126, 2001, 4557, 13752, 1010, 21195, 1010, 1998, 19195, 1996, 8998, 1997, 4752, 20742, 2061, 4415, 2011, 2198, 2703, 2462, 1029, 2404, 2178, 2126, 1010, 2065, 2017, 4366, 2000, 12210, 2242, 2021, 2612, 3426, 6923, 6724, 1010, 1997, 2054, 3643, 2030, 3800, 2003, 2115, 2552, 1997, 13964, 1029, 1998, 2065, 2017, 2020, 2108, 28616, 18447, 2121, 28139, 3064, 2011, 2028, 2283, 2030, 2178, 1010, 2876, 1521, 1056, 2017, 2022, 11480, 2000, 2360, 2061, 1029, 3432, 2404, 1024, 2054, 3599, 2106, 4831, 4557, 13566, 1999, 1996, 3297, 5964, 3127, 1997, 2010, 11815, 4654, 27794, 3370, 1029, 1045, 2018, 1996, 14293, 1997, 5702, 8006, 2104, 2852, 1012, 2928, 2896, 2100, 1010, 1037, 8235, 7191, 17200, 2012, 1996, 2118, 1997, 5759, 1010, 3005, 2607, 1999, 7191, 8006, 3139, 1996, 2536, 3596, 1997, 23848, 12911, 4818, 4252, 1012, 2009, 2003, 1010, 17044, 2015, 2000, 2360, 1010, 1037, 4830, 16671, 2075, 1998, 8552, 8476, 1012, 2021, 2852, 1012, 2896, 2100, 1521, 1055, 17674, 2055, 1996, 6623, 12156, 23848, 12911, 5007, 1010, 2029, 2064, 2022, 2179, 1999, 2010, 3784, 3964, 1010, 2003, 4276, 29211, 2075, 1024, 1996, 6623, 12156, 23848, 12911, 5007, 3774, 1999, 4831, 2015, 4252, 1523, 14469, 3973, 1010, 1524, 2788, 1999, 5491, 2107, 2004, 4372, 5666, 20464, 7476, 2015, 2030, 11815, 4654, 27794, 10708, 1012, 2122, 5491, 2089, 5383, 23019, 2008, 2024, 4036, 1999, 13976, 17296, 1010, 2021, 1996, 5491, 2004, 1037, 2878, 2024, 2025, 1999, 13976, 7028, 1012, 2738, 1010, 2027, 5478, 1996, 1523, 27195, 1997, 2568, 1998, 2097, 1524, 1997, 1996, 11633, 1010, 2019, 27195, 2029, 2003, 5664, 1999, 3267, 2013, 1996, 1523, 27195, 1997, 4752, 1524, 3223, 1997, 8875, 1055, 1999, 13976, 17296, 4036, 1012, 2529, 6679, 19300, 2063, 1010, 2005, 6013, 1010, 2003, 2025, 2019, 1999, 13976, 7028, 6254, 1012, 2009, 3397, 4784, 2029, 5478, 26438, 27195, 2021, 2029, 1010, 2096, 2025, 2108, 9413, 20793, 3560, 1010, 2089, 2022, 12958, 2030, 6822, 25077, 1012, 2174, 1010, 1999, 3720, 2260, 1996, 4831, 12817, 2588, 1037, 3043, 2008, 1010, 2009, 2064, 2022, 5275, 1010, 2003, 1999, 13976, 17296, 4036, 1024, 1996, 16021, 13699, 5400, 8553, 1997, 1996, 3131, 3512, 1998, 4013, 16748, 8082, 9646, 1997, 2169, 9530, 9103, 9692, 2552, 1012, 2012, 1996, 2200, 2190, 1010, 2059, 1010, 2009, 3849, 2057, 2064, 16519, 2008, 4831, 4557, 2106, 2025, 6570, 2030, 4013, 25154, 7561, 1999, 16095, 2483, 2474, 20624, 7315, 1010, 1999, 2312, 2112, 2138, 2009, 2003, 2025, 12192, 10358, 2054, 2002, 4036, 1010, 2359, 2000, 6570, 1010, 2030, 2359, 2500, 2000, 16519, 1012, 1006, 1045, 2360, 2023, 2004, 2619, 2040, 2003, 3243, 6427, 2008, 4831, 4557, 2003, 2667, 2000, 2330, 1996, 2341, 2000, 15661, 2005, 6062, 1999, 1523, 12052, 1524, 8146, 1025, 2021, 2023, 1010, 1045, 2228, 1010, 2003, 1996, 2190, 2008, 2022, 2056, 2055, 1996, 3570, 1997, 1996, 6254, 1012, 1007, 1999, 2460, 1010, 1996, 8605, 2445, 1999, 2116, 7728, 2003, 2008, 1996, 4831, 2064, 1010, 2011, 11870, 1997, 2010, 6623, 23848, 12911, 5007, 1010, 11477, 1998, 2130, 11826, 1996, 6623, 23848, 12911, 5007, 1997, 2010, 16372, 1010, 2004, 2065, 2010, 2436, 2001, 2511, 2005, 1996, 3800, 1997, 8144, 1010, 2004, 2065, 1996, 4151, 4382, 2064, 3749, 2149, 27894, 8635, 2055, 5609, 1997, 4752, 1998, 25288, 1012, 2029, 7545, 2149, 2000, 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, 1026, 999, 9986, 13874, 16129, 2270, 1000, 1011, 1013, 1013, 1059, 2509, 2278, 1013, 1013, 26718, 2094, 16129, 1018, 1012, 5890, 17459, 1013, 1013, 4372, 1000, 1000, 8299, 1024, 1013, 1013, 7479, 1012, 1059, 2509, 1012, 8917, 1013, 19817, 1013, 16129, 2549, 1013, 6065, 1012, 26718, 2094, 1000, 1028, 1026, 999, 1011, 1011, 2047, 13704, 1011, 1011, 1028, 1026, 16129, 1028, 1026, 2132, 1028, 1026, 999, 1011, 1011, 7013, 2011, 9262, 3527, 2278, 1006, 3857, 1015, 1012, 1020, 1012, 1014, 1035, 4090, 1007, 2006, 10722, 2063, 2089, 2656, 5641, 1024, 5840, 1024, 5718, 18667, 2102, 2325, 1011, 1011, 1028, 1026, 2516, 1028, 8389, 8873, 22592, 1006, 15895, 1042, 7361, 1016, 1012, 1014, 17928, 1007, 1026, 1013, 2516, 1028, 1026, 18804, 2171, 1027, 1000, 3058, 1000, 4180, 1027, 1000, 2325, 1011, 5709, 1011, 2656, 1000, 1028, 1026, 4957, 2128, 2140, 1027, 1000, 6782, 21030, 2102, 1000, 2828, 1027, 1000, 3793, 1013, 20116, 2015, 1000, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 6782, 21030, 2102, 1012, 20116, 2015, 1000, 2516, 1027, 1000, 2806, 1000, 1028, 1026, 5896, 2828, 1027, 1000, 3793, 1013, 9262, 22483, 1000, 1028, 3853, 3332, 3775, 9286, 1006, 1007, 1063, 2065, 1006, 3295, 1012, 17850, 12879, 1012, 5950, 11253, 1006, 1005, 2003, 1011, 6327, 1027, 2995, 1005, 1007, 1027, 1027, 1011, 1015, 1007, 1063, 6687, 1012, 6254, 1012, 2516, 1027, 1000, 8389, 8873, 22592, 1006, 15895, 1042, 7361, 1016, 1012, 1014, 17928, 1007, 1000, 1025, 1065, 1065, 1026, 1013, 5896, 1028, 1026, 16839, 23235, 1028, 1026, 1013, 16839, 23235, 1028, 1026, 1013, 2132, 1028, 1026, 2303, 1038, 18195, 12898, 2099, 1027, 1000, 2317, 1000, 2006, 11066, 1027, 1000, 3332, 3775, 9286, 1006, 1007, 1025, 1000, 1028, 1026, 17850, 1028, 1026, 999, 1011, 1011, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2707, 1997, 2327, 6583, 26493, 2906, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1011, 1011, 1028, 1026, 1037, 2171, 1027, 1000, 6583, 26493, 2906, 1035, 2327, 1000, 1028, 1026, 999, 1011, 1011, 1011, 1011, 1028, 1026, 1013, 1037, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 1001, 13558, 1011, 6583, 26493, 2906, 1035, 2327, 1000, 2516, 1027, 1000, 13558, 9163, 6971, 1000, 1028, 1026, 1013, 1037, 1028, 1026, 2795, 3675, 1027, 1000, 1014, 1000, 9381, 1027, 1000, 2531, 1003, 1000, 3526, 15455, 4667, 1027, 1000, 1015, 1000, 4442, 19498, 2075, 1027, 1000, 1014, 1000, 12654, 1027, 1000, 1000, 1028, 1026, 19817, 1028, 1026, 14595, 8902, 13102, 2319, 1027, 1016, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 2171, 1027, 1000, 6583, 26493, 2906, 1035, 2327, 1035, 2034, 10524, 1000, 1028, 1026, 999, 1011, 1011, 1011, 1011, 1028, 1026, 1013, 1037, 1028, 1026, 2795, 3675, 1027, 1000, 1014, 1000, 3526, 15455, 4667, 1027, 1000, 1014, 1000, 4442, 19498, 2075, 1027, 1000, 1017, 1000, 12654, 1027, 1000, 1000, 1028, 1026, 19817, 25705, 1027, 1000, 2415, 1000, 11748, 23773, 1027, 1000, 2327, 1000, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 19184, 1011, 12654, 1012, 16129, 1000, 1028, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 1000, 1028, 1026, 1038, 1028, 19184, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 7427, 1011, 12654, 1012, 16129, 1000, 1028, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 1000, 1028, 1026, 1038, 1028, 7427, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 21461, 4246, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 2890, 2615, 1000, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 2890, 2615, 1000, 1028, 1026, 1038, 1028, 2465, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 2465, 1011, 2224, 1013, 8389, 8873, 22592, 1012, 16129, 1000, 1028, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 1000, 1028, 1026, 1038, 1028, 2224, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 7427, 1011, 3392, 1012, 16129, 1000, 1028, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 1000, 1028, 1026, 1038, 1028, 3392, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 2139, 28139, 12921, 1011, 2862, 1012, 16129, 1000, 1028, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 1000, 1028, 1026, 1038, 1028, 2139, 28139, 12921, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 5950, 1011, 2035, 1012, 16129, 1000, 1028, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 1000, 1028, 1026, 1038, 1028, 5950, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 1001, 25212, 4402, 4246, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2487, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 2393, 1011, 9986, 1012, 16129, 1000, 1028, 1026, 15489, 2465, 1027, 1000, 6583, 26493, 2906, 14876, 3372, 2487, 1000, 1028, 1026, 1038, 1028, 2393, 1026, 1013, 1038, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1013, 14595, 1028, 1026, 1013, 19817, 1028, 1026, 1013, 2795, 1028, 1026, 1013, 14595, 1028, 1026, 14595, 25705, 1027, 1000, 2157, 1000, 11748, 23773, 1027, 1000, 2327, 1000, 10281, 9739, 1027, 1017, 1028, 1026, 7861, 1028, 1042, 7361, 1016, 1012, 1014, 1026, 1013, 7861, 1028, 1026, 1013, 14595, 1028, 1026, 1013, 19817, 1028, 1026, 19817, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 2317, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2475, 1000, 1028, 1026, 15489, 2946, 1027, 1000, 1011, 1016, 1000, 1028, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 8917, 1013, 15895, 1013, 1042, 7361, 1013, 21358, 2361, 1013, 2175, 3540, 1013, 8389, 10497, 21572, 21197, 1012, 16129, 1000, 2516, 1027, 1000, 2465, 1999, 8917, 1012, 15895, 1012, 1042, 7361, 1012, 21358, 2361, 1012, 2175, 3540, 1000, 1028, 1026, 1038, 1028, 3653, 2615, 2465, 1026, 1013, 1038, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 8917, 1013, 15895, 1013, 1042, 7361, 1013, 21358, 2361, 1013, 2175, 3540, 1013, 8389, 3993, 8017, 2278, 1012, 16129, 1000, 2516, 1027, 1000, 2465, 1999, 8917, 1012, 15895, 1012, 1042, 7361, 1012, 21358, 2361, 1012, 2175, 3540, 1000, 1028, 1026, 1038, 1028, 2279, 2465, 1026, 1013, 1038, 1028, 1026, 1013, 1037, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 14595, 1028, 1026, 14595, 1038, 18195, 12898, 2099, 1027, 1000, 2317, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2475, 1000, 1028, 1026, 15489, 2946, 1027, 1000, 1011, 1016, 1000, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 5950, 1012, 16129, 1029, 8917, 1013, 15895, 1013, 1042, 7361, 1013, 21358, 2361, 1013, 2175, 3540, 1013, 8389, 8873, 22592, 1012, 16129, 1000, 4539, 1027, 1000, 1035, 2327, 1000, 1028, 1026, 1038, 1028, 11048, 1026, 1013, 1038, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 8389, 8873, 22592, 1012, 16129, 1000, 4539, 1027, 1000, 1035, 2327, 1000, 1028, 1026, 1038, 1028, 2053, 11048, 1026, 1013, 1038, 1028, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1004, 1050, 5910, 2361, 1025, 1026, 5896, 2828, 1027, 1000, 3793, 1013, 9262, 22483, 1000, 1028, 1026, 999, 1011, 1011, 2065, 1006, 3332, 1027, 1027, 2327, 1007, 1063, 6254, 1012, 4339, 19666, 1006, 1005, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 2035, 26266, 2229, 1011, 2053, 15643, 1012, 16129, 1000, 1028, 1026, 1038, 1028, 2035, 4280, 1026, 1013, 1038, 1028, 1026, 1013, 1037, 1028, 1005, 1007, 1025, 1065, 1013, 1013, 1011, 1011, 1028, 1026, 1013, 5896, 1028, 1026, 16839, 23235, 1028, 1026, 1037, 17850, 12879, 1027, 1000, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 1012, 1012, 1013, 2035, 26266, 2229, 1011, 2053, 15643, 1012, 16129, 1000, 1028, 1026, 1038, 1028, 2035, 4280, 1026, 1013, 1038, 1028, 1026, 1013, 1037, 1028, 1026, 1013, 16839, 23235, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 14595, 1028, 1026, 1013, 19817, 1028, 1026, 19817, 1028, 1026, 14595, 11748, 23773, 1027, 1000, 2327, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2509, 1000, 1028, 1026, 15489, 2946, 1027, 1000, 1011, 1016, 1000, 1028, 12654, 1024, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 1001, 9089, 2098, 1035, 4280, 1035, 7900, 1035, 2013, 1035, 2465, 1035, 8917, 1012, 15895, 1012, 1042, 7361, 1012, 21358, 2361, 1012, 16913, 3540, 1012, 10061, 10354, 6873, 2497, 20614, 1000, 1028, 9089, 2098, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1064, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 1001, 4249, 1035, 7900, 1035, 2013, 1035, 2465, 1035, 8917, 1012, 15895, 1012, 1042, 7361, 1012, 21358, 2361, 1012, 2175, 3540, 1012, 10061, 14773, 9363, 8551, 1000, 1028, 2492, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1064, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 1001, 9570, 2953, 1035, 12654, 1000, 1028, 9530, 3367, 2099, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1064, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 1001, 4725, 1035, 7900, 1035, 2013, 1035, 2465, 1035, 8917, 1012, 15895, 1012, 1042, 7361, 1012, 21358, 2361, 1012, 2175, 3540, 1012, 10061, 14773, 9363, 8551, 1000, 1028, 4118, 1026, 1013, 1037, 1028, 1026, 1013, 15489, 1028, 1026, 1013, 14595, 1028, 1026, 14595, 11748, 23773, 1027, 1000, 2327, 1000, 2465, 1027, 1000, 6583, 26493, 2906, 29109, 2140, 2509, 1000, 1028, 1026, 15489, 2946, 1027, 1000, 1011, 1016, 1000, 1028, 6987, 1024, 1004, 1050, 5910, 2361, 1025, 2492, 1004, 1050, 5910, 2361, 1025, 1064, 1004, 1050, 5910, 2361, 1025, 1026, 1037, 17850, 12879, 1027, 1000, 1001, 9570, 2953, 1035, 6987, 1000, 1028, 9530, 3367, 2099, 1026, 1013, 1037, 1028, 1004, 1050, 5910, 2361, 1025, 1064, 1004, 1050, 5910, 2361, 1025, 4118, 1026, 1013, 15489, 1028, 1026, 1013, 14595, 1028, 1026, 1013, 19817, 1028, 1026, 1013, 2795, 1028, 1026, 1037, 2171, 1027, 1000, 13558, 1011, 6583, 26493, 2906, 1035, 2327, 1000, 1028, 1026, 1013, 1037, 1028, 1026, 999, 1011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 24286, 7939, 2401, 8553, 2003, 1996, 3754, 2005, 5381, 1006, 4050, 3026, 4584, 1999, 1037, 5337, 2030, 11900, 4677, 1997, 3094, 1007, 2000, 9772, 3716, 1997, 1998, 5368, 2005, 2151, 4365, 3085, 4506, 5462, 2011, 2500, 1006, 2788, 15144, 2015, 1999, 2019, 13296, 12571, 1007, 2138, 1997, 1037, 3768, 1997, 3350, 2008, 2064, 12210, 2037, 6577, 1010, 2130, 2065, 2027, 2020, 7714, 2920, 1999, 2030, 2012, 2560, 2097, 7699, 21591, 1997, 1996, 4506, 1012, 1999, 1996, 2553, 2008, 6206, 2030, 4728, 4487, 21338, 13699, 23056, 1998, 19657, 3450, 2468, 2270, 1010, 2152, 1011, 5464, 4584, 2089, 9772, 2151, 7073, 1997, 2107, 2552, 1999, 2344, 2000, 16021, 9869, 3209, 1998, 5670, 7499, 3031, 1996, 6074, 2040, 3344, 2041, 1996, 4490, 1010, 9657, 2008, 2037, 4797, 2545, 2097, 2022, 4039, 2000, 6011, 4728, 1012, 1996, 3768, 1997, 3350, 2000, 1996, 10043, 23734, 3084, 1996, 14920, 24286, 1010, 2008, 2003, 1010, 23411, 1010, 2348, 2823, 2009, 6414, 3084, 2009, 14477, 7542, 3085, 1012, 1996, 2744, 4050, 12748, 18921, 2705, 10593, 2102, 1010, 2107, 2004, 15734, 4292, 2039, 1996, 3785, 2000, 20228, 20559, 17296, 4468, 5368, 2005, 2028, 1005, 1055, 1006, 2925, 1007, 4506, 2030, 3716, 1012, 1999, 2070, 4411, 1010, 3423, 23252, 2107, 2004, 3094, 5368, 4839, 2000, 2907, 2350, 4243, 3625, 2005, 1996, 4506, 1997, 15144, 2015, 2920, 1999, 2002, 5740, 2271, 4490, 1998, 19701, 8757, 2151, 3423, 3860, 2008, 2037, 14920, 1997, 6624, 2052, 4287, 1012, 1999, 4331, 1998, 21003, 1010, 7939, 2401, 8553, 5218, 2000, 1996, 3754, 1997, 1037, 3928, 2447, 2030, 4454, 4034, 2000, 3413, 1996, 10131, 1998, 4468, 6271, 5963, 2011, 10082, 19018, 2005, 2019, 2895, 2000, 2022, 2579, 2006, 2037, 6852, 2011, 1037, 2353, 2283, 23734, 4895, 24230, 2007, 1996, 2350, 2447, 1012, 1999, 2576, 8008, 1010, 24286, 7939, 2401, 8553, 12939, 5347, 2000, 2994, 4550, 1998, 7939, 23709, 3401, 2353, 1011, 2283, 14389, 2008, 2224, 16655, 23048, 2389, 8107, 2030, 9280, 26201, 15534, 7601, 24997, 3527, 1012, 24286, 7939, 2401, 8553, 2003, 2036, 1037, 3423, 4145, 1012, 2009, 5218, 2000, 3768, 1997, 3350, 13946, 2019, 2035, 29107, 3508, 1012, 4781, 1997, 6947, 8137, 1999, 2942, 1998, 4735, 3572, 1012, 1999, 2942, 3572, 1010, 1996, 3115, 1997, 6947, 2003, 1000, 17463, 15422, 23169, 3401, 1997, 1996, 3350, 1000, 6168, 1999, 1037, 4735, 3043, 1010, 1996, 3115, 2003, 1000, 3458, 1037, 9608, 4797, 1012, 1000, 2065, 2019, 7116, 3685, 3073, 3350, 2005, 2010, 2035, 29107, 3508, 1010, 2028, 2064, 20228, 20559, 17296, 9772, 1996, 2035, 29107, 3508, 2130, 2295, 2009, 2089, 2022, 2995, 1012, 2348, 24286, 7939, 2401, 8553, 2038, 5839, 2802, 2381, 1010, 2008, 2171, 2005, 2009, 2001, 13279, 2011, 1996, 9915, 1999, 1996, 2220, 4120, 2000, 6235, 1996, 2007, 23410, 1997, 2592, 2013, 3026, 4584, 1999, 2344, 2000, 4047, 2068, 2013, 16360, 2121, 7874, 27466, 1999, 1996, 2724, 2008, 6206, 2030, 19657, 3450, 2011, 1996, 9915, 2150, 2270, 3716, 1012, 1996, 6147, 1997, 1996, 2171, 2175, 2067, 2000, 4302, 15237, 1005, 1055, 2120, 3036, 2473, 3259, 2184, 1013, 1016, 1997, 2238, 2324, 1010, 3882, 1010, 2029, 4225, 1000, 19813, 3136, 1000, 2004, 1000, 1012, 1012, 1012, 2035, 3450, 4146, 27081, 2000, 2023, 16449, 2029, 2024, 2061, 3740, 1998, 6472, 2008, 2151, 1057, 1012, 1055, 1012, 2231, 5368, 2005, 2068, 2003, 2025, 10358, 2000, 24641, 5381, 1998, 2008, 2065, 14486, 1996, 1057, 1012, 1055, 1012, 2231, 2064, 20228, 20559, 17296, 5860, 19771, 2213, 2151, 5368, 2005, 2068, 1012, 1000, 1031, 24978, 2278, 5139, 12521, 2001, 2139, 1011, 6219, 1999, 3355, 1010, 1998, 2003, 2284, 2012, 1996, 2120, 8264, 1010, 1054, 2290, 25371, 1012, 1033, 15835, 1010, 1996, 3145, 4145, 1997, 24286, 7939, 2401, 8553, 2003, 20228, 20559, 13464, 1012, 2009, 2003, 7199, 3733, 2005, 1037, 2231, 2880, 2000, 3277, 1037, 8768, 14920, 1997, 2019, 2895, 1010, 1998, 2009, 2003, 2825, 2000, 6033, 2030, 3104, 2039, 3350, 2044, 1996, 2755, 1010, 1998, 2023, 2453, 2022, 7182, 2000, 4468, 1037, 4735, 11537, 1010, 2005, 6013, 1012, 2174, 1010, 1996, 2270, 2453, 2092, 4487, 19022, 20806, 18697, 1996, 14920, 1010, 3391, 2065, 2045, 2003, 2844, 25022, 11890, 18163, 5794, 20925, 3350, 1010, 2030, 2065, 1996, 2895, 2003, 3373, 2000, 2022, 2061, 9832, 2008, 1996, 2069, 11177, 7526, 2003, 2008, 1996, 14920, 2003, 6270, 1012, 1996, 4145, 2003, 2130, 2062, 2590, 1999, 21003, 1012, 4454, 2089, 2272, 2013, 2116, 4216, 1010, 2164, 2529, 4216, 1012, 1996, 7524, 1997, 2592, 2000, 2029, 2069, 1037, 2261, 2111, 2024, 21598, 2089, 3495, 17727, 19341, 2618, 2070, 1997, 2216, 2111, 1999, 1996, 7524, 1012, 2202, 2005, 2742, 1037, 11967, 2073, 2019, 2880, 2003, 8932, 10082, 1998, 2069, 2028, 1997, 2010, 14895, 2015, 4282, 1996, 3563, 3604, 3488, 1012, 1996, 2880, 2003, 16370, 2076, 2010, 7930, 1010, 1998, 1996, 6214, 1997, 1996, 10102, 6118, 6592, 2008, 1996, 12025, 2018, 18921, 2243, 19779, 3709, 3351, 1997, 1996, 2880, 1005, 1055, 3604, 3488, 1012, 1996, 15596, 7091, 2003, 2008, 1996, 2880, 2038, 2042, 12056, 2011, 2010, 14895, 1012, 2045, 2089, 2022, 2053, 3622, 3350, 11383, 1996, 14895, 2000, 1996, 12025, 1010, 2021, 5792, 2064, 2022, 1999, 7512, 5596, 2006, 1996, 8866, 2894, 1010, 2947, 2437, 1996, 14895, 1005, 1055, 14920, 17727, 28128, 7028, 1012, 1996, 3670, 1000, 20228, 20559, 17296, 7939, 19210, 1000, 2001, 2034, 2109, 7271, 2011, 2430, 4454, 4034, 1006, 9915, 1007, 2472, 5297, 10634, 2229, 1012, 1031, 1015, 1033, 1996, 2801, 1010, 2006, 1996, 2060, 2192, 1010, 2003, 9839, 3080, 1012, 2005, 2742, 1010, 1999, 1996, 3708, 2301, 1010, 2798, 8670, 22414, 3351, 2649, 1996, 5197, 1997, 2383, 1000, 1037, 2261, 3432, 7481, 2273, 1000, 2006, 1037, 2837, 2040, 2071, 2022, 8184, 5892, 2043, 1000, 1037, 14099, 2135, 10059, 3160, 18653, 1000, 2061, 2008, 2028, 1997, 2068, 2071, 1000, 13520, 5621, 1010, 2065, 4072, 1010, 2008, 2002, 2196, 2001, 2556, 2012, 2151, 3116, 2012, 2029, 2130, 1037, 21068, 2607, 2018, 2042, 3818, 1012, 1000, 1031, 1016, 1033, 1037, 1057, 1012, 1055, 1012, 4001, 2837, 1010, 1996, 2277, 2837, 1010, 1999, 3326, 1011, 3339, 4146, 2019, 4812, 1997, 1996, 4454, 6736, 1012, 1999, 1996, 2607, 1997, 1996, 4812, 1010, 2009, 2001, 3936, 2008, 1996, 9915, 1010, 2183, 2067, 2000, 1996, 5817, 3447, 1010, 2018, 27347, 1996, 10102, 1997, 1037, 2193, 1997, 3097, 4177, 1010, 2164, 7394, 1005, 1055, 26000, 2140, 11794, 1012, 2021, 1996, 2343, 2370, 1010, 2040, 4415, 2001, 1999, 5684, 1997, 2107, 4506, 1010, 2001, 2025, 2000, 2022, 3495, 2920, 1010, 2061, 2008, 2002, 2071, 9772, 3716, 1997, 2009, 1012, 2023, 2001, 2445, 1996, 2744, 24286, 14920, 1012, 1031, 1017, 1033, 2512, 1011, 2012, 18886, 29446, 2000, 1996, 2142, 2163, 2005, 19813, 3136, 2001, 1996, 2434, 1998, 4054, 3800, 1997, 1996, 2061, 1011, 2170, 8998, 1997, 1000, 24286, 14920, 1012, 1000, 3350, 2077, 1996, 2837, 4415, 16691, 2008, 2023, 4145, 1010, 2881, 2000, 4047, 1996, 2142, 2163, 1998, 2049, 25631, 2013, 1996, 8465, 1997, 19380, 2015, 1010, 2038, 2042, 4423, 2000, 7308, 6567, 1997, 1996, 2343, 1998, 2010, 3026, 3095, 2372, 1012, 24286, 14920, 7336, 1996, 4325, 1997, 2373, 5090, 1998, 8859, 1997, 3094, 6065, 1998, 11900, 2438, 2000, 2022, 6380, 2065, 4072, 1012, 1996, 2801, 2001, 2008, 1996, 9915, 1006, 1998, 1010, 2101, 1010, 2060, 4230, 1007, 2071, 2022, 2445, 6801, 8128, 2011, 3928, 4481, 1517, 2039, 2000, 1998, 2164, 1996, 2343, 2370, 1517, 2021, 2008, 1996, 4598, 1998, 2995, 3120, 1997, 2216, 8128, 2071, 2022, 6380, 2065, 4072, 1025, 2065, 1010, 2005, 2742, 1010, 2019, 3169, 2253, 16775, 2135, 3308, 1998, 2009, 2001, 4072, 2005, 1996, 3447, 2000, 5860, 19771, 2213, 5368, 1012, 1996, 8099, 1516, 4575, 2552, 1997, 3326, 4912, 2000, 2404, 2019, 2203, 2000, 24286, 14920, 2011, 9034, 1037, 4883, 4531, 2008, 2169, 3169, 2003, 2590, 2000, 2120, 3036, 1010, 1998, 1996, 4454, 15709, 2552, 1997, 3150, 3223, 2008, 3519, 2022, 19488, 1997, 2035, 19813, 3136, 1012, 2021, 2119, 4277, 2024, 2440, 1997, 2438, 13727, 3408, 1998, 4019, 11300, 2229, 2000, 3499, 1996, 3237, 3589, 2000, 16215, 18367, 2037, 6048, 1005, 11174, 1010, 2004, 1996, 4238, 1516, 24528, 6771, 2038, 3491, 1012, 5262, 1010, 1996, 2372, 1997, 3519, 2024, 1999, 1037, 21883, 1024, 2043, 2027, 2024, 6727, 1010, 2027, 2024, 1999, 2053, 2597, 2000, 2644, 1996, 2895, 1010, 4983, 2027, 17271, 2049, 4598, 1998, 8558, 18921, 20464, 9232, 1996, 5724, 1997, 19813, 2791, 1012, 1031, 1019, 1033, 1996, 1006, 2277, 2837, 1007, 15848, 2008, 2000, 3073, 1996, 2142, 2163, 2007, 1000, 24286, 14920, 1000, 1999, 1996, 2724, 2008, 1996, 3424, 1011, 11794, 14811, 2020, 3603, 1010, 4883, 20104, 2453, 2031, 2042, 3525, 1000, 23649, 1000, 1012, 1006, 1996, 2277, 2837, 1007, 2036, 4161, 2008, 1010, 3649, 1996, 6698, 1997, 1996, 3716, 1010, 11274, 16551, 1010, 5817, 1998, 3779, 2323, 4562, 1996, 1000, 7209, 5368, 1000, 2005, 1996, 4506, 1997, 2037, 15144, 2015, 1012, 1031, 1020, 1033, 9915, 4584, 9969, 2109, 29347, 28793, 2937, 2653, 1031, 1021, 1033, 1999, 3331, 2000, 1996, 2343, 1998, 2500, 2648, 1996, 4034, 1012, 1006, 2957, 16254, 2015, 1007, 14914, 2008, 2002, 2106, 2025, 2215, 2000, 1000, 7861, 8237, 8180, 2015, 1037, 2343, 1000, 2030, 4133, 2105, 2019, 2880, 2795, 3331, 2055, 1000, 4288, 2030, 21054, 1012, 1000, 1996, 3189, 2179, 2023, 1000, 25022, 11890, 2819, 4135, 12690, 3258, 1000, 1031, 1022, 1033, 16360, 2890, 10222, 19307, 1010, 3038, 1024, 1000, 7989, 2000, 2655, 6530, 2449, 2011, 2049, 27167, 2171, 2089, 2031, 3445, 1996, 3891, 1997, 6530, 2449, 2108, 2589, 1012, 1000, 1996, 2837, 2036, 4081, 2008, 1996, 2291, 1997, 3094, 1998, 2491, 2089, 2031, 2042, 9969, 20080, 1010, 2000, 2507, 11274, 1037, 3382, 2005, 1000, 24286, 14920, 1012, 1000, 1031, 1023, 1033, 2054, 2081, 1996, 5368, 3697, 2000, 9231, 2091, 1999, 22307, 13102, 22471, 2001, 1037, 12138, 2291, 1997, 12148, 3550, 13727, 2791, 1998, 25022, 11890, 2819, 4135, 12690, 3258, 13557, 2053, 2880, 1011, 1998, 3391, 1037, 2343, 1011, 2018, 2000, 3985, 2203, 5668, 2063, 21068, 3450, 1012, 4895, 3736, 14550, 2100, 4449, 2020, 6524, 5462, 2000, 3259, 1998, 2054, 2501, 1996, 2837, 2179, 2001, 2915, 2083, 2007, 7604, 2000, 1000, 8208, 1010, 1000, 1000, 1996, 3894, 6462, 1000, 1031, 2184, 1033, 1998, 1000, 1996, 7001, 3458, 1996, 2197, 7001, 1012, 1000, 2947, 1996, 4034, 2453, 2012, 2335, 2031, 28616, 16416, 2094, 8128, 2013, 2006, 2152, 1010, 2021, 2009, 2790, 2062, 2411, 2000, 2022, 24070, 1996, 10859, 1997, 11274, 2040, 2354, 2045, 2020, 2477, 2027, 2134, 1005, 1056, 2215, 2000, 2113, 1012, 2004, 2280, 9915, 2472, 2957, 16254, 2015, 2409, 1996, 2837, 1024, 1000, 1996, 7669, 2007, 2023, 2785, 1997, 2518, 1010, 2004, 2017, 11218, 2024, 2035, 16267, 5204, 1010, 2003, 2008, 6343, 4122, 2000, 7861, 8237, 8180, 2015, 1037, 2343, 1997, 1996, 2142, 2163, 1012, 1000, 1031, 2340, 1033, 1999, 2010, 10896, 2000, 1996, 7740, 2837, 5702, 1996, 4238, 1516, 24528, 6771, 1010, 3580, 5902, 2198, 13433, 22254, 10288, 3334, 3090, 1024, 1000, 1045, 2081, 1037, 15063, 3247, 2025, 2000, 3198, 1996, 2343, 1010, 2061, 2008, 1045, 2071, 16021, 9869, 2032, 2013, 1996, 3247, 1998, 3073, 2070, 2925, 7939, 2401, 8553, 2005, 1996, 2343, 2065, 2009, 2412, 15748, 2041, 1012, 1000, 1031, 2260, 1033, 9915, 1998, 2317, 2160, 5491, 2006, 19813, 2576, 8830, 1999, 1996, 3546, 12091, 2602, 11703, 24938, 1012, 1996, 9915, 1005, 1055, 2708, 1997, 2530, 14130, 2407, 1010, 1046, 1012, 1039, 1012, 2332, 1010, 6749, 2008, 5029, 2005, 1996, 3049, 1000, 2022, 3024, 1999, 1037, 4827, 4786, 1006, 14846, 10424, 7416, 18318, 2389, 3567, 2343, 1997, 7029, 1007, 2000, 1999, 7512, 2142, 2163, 4761, 1997, 5029, 1998, 2664, 24523, 24286, 14920, 1000, 1031, 2410, 1033, 2731, 6764, 1997, 1996, 9915, 1005, 1055, 19813, 1000, 3169, 13683, 14194, 9623, 2015, 1010, 1000, 2005, 1996, 4051, 8648, 1999, 11779, 1012, 2429, 2000, 1996, 2120, 3036, 8756, 1024, 1000, 2426, 1996, 5491, 2179, 1999, 1996, 2731, 6764, 1997, 3169, 13683, 14194, 9623, 2015, 1998, 11703, 24938, 2011, 1996, 4034, 2003, 1037, 9915, 6254, 4159, 1005, 1037, 2817, 1997, 10102, 1012, 1005, 1037, 2129, 1011, 2000, 5009, 2338, 1999, 1996, 2396, 1997, 2576, 4288, 1010, 1996, 2539, 1011, 3931, 6410, 4107, 6851, 13271, 1997, 1996, 8853, 1010, 5693, 1010, 1998, 7375, 1997, 10102, 1012, 1000, 1996, 6410, 2163, 2008, 2000, 3073, 24286, 14920, 1010, 1000, 2053, 10102, 8128, 2323, 2412, 2022, 2517, 2030, 2680, 1012, 1000, 1031, 2403, 1033, 2009, 2001, 2019, 2330, 2341, 2000, 1996, 6905, 1997, 3691, 1025, 2009, 3223, 2008, 1996, 4243, 1999, 3160, 2071, 2022, 2056, 2000, 2031, 6051, 9174, 1010, 2029, 1999, 1996, 2203, 2001, 9092, 15464, 21723, 2000, 3228, 2068, 6105, 2000, 2552, 9174, 1012, 1031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 9163, 4649, 13736, 2015, 1011, 6621, 2990, 2386, 4357, 4357, 2011, 6487, 2482, 2638, 17479, 4031, 6621, 2990, 2386, 7566, 2055, 2070, 1997, 1996, 7860, 1997, 2652, 3744, 11748, 27687, 1010, 1520, 1996, 2535, 1997, 1037, 6480, 1521, 1010, 1999, 3419, 23717, 1521, 1055, 2502, 3898, 2544, 1997, 4649, 13736, 2015, 1012, 2002, 2036, 12778, 7050, 2000, 2010, 2219, 2269, 1998, 1996, 3744, 11748, 27687, 11647, 2002, 5927, 2306, 2032, 1010, 1998, 2000, 2522, 1011, 2732, 5735, 25657, 1010, 2040, 2002, 6495, 2007, 2108, 1037, 2485, 2767, 1998, 10779, 1012, 2002, 2001, 4092, 2012, 1037, 2866, 2811, 3034, 1012, 1053, 1012, 2017, 4025, 4340, 2000, 2031, 2042, 1037, 2112, 1997, 2023, 2143, 1012, 2054, 12068, 2000, 2017, 2055, 2009, 2061, 2172, 1029, 6621, 2990, 2386, 1024, 2092, 1010, 2119, 19817, 13006, 22471, 18909, 1045, 1521, 1040, 2196, 2428, 3959, 2102, 1997, 1012, 1045, 2018, 2042, 1999, 3315, 3004, 2005, 1037, 2193, 1997, 2086, 1010, 3225, 2126, 2067, 2007, 7232, 1031, 11349, 18447, 17369, 1033, 2725, 5858, 2385, 2086, 3283, 2182, 1999, 2414, 1998, 1045, 1521, 2310, 2589, 5691, 2005, 1037, 2193, 1997, 2086, 1998, 1045, 1521, 2310, 3959, 2102, 1997, 2108, 1999, 1037, 3185, 3315, 2005, 1037, 2146, 2051, 1012, 2005, 2070, 3114, 1010, 1045, 2074, 2196, 2130, 2245, 4649, 28616, 2052, 2022, 2825, 1012, 1045, 2812, 2009, 1521, 1055, 2042, 2105, 2005, 2676, 2086, 1998, 2001, 2061, 14430, 1998, 2009, 2347, 1521, 1056, 2130, 2006, 2026, 7217, 2043, 2026, 4005, 8369, 2033, 2039, 1998, 2056, 1024, 1523, 1045, 2228, 2027, 1521, 2128, 2725, 1996, 3185, 2004, 1037, 3315, 1012, 1524, 1045, 3202, 8369, 7232, 1012, 1045, 2056, 1045, 2018, 2000, 2079, 2009, 1012, 1998, 2059, 1045, 8369, 3419, 23717, 1998, 2056, 1024, 1523, 1045, 2342, 1037, 3116, 1012, 1524, 2002, 2001, 2200, 13205, 1012, 2002, 2056, 1520, 2469, 1521, 1012, 2002, 1521, 1040, 2074, 2180, 1996, 7436, 1037, 3232, 1997, 2706, 2077, 1012, 2061, 1010, 1045, 2253, 2046, 3113, 2032, 1998, 1045, 2056, 1024, 1523, 1045, 1521, 1049, 2183, 2000, 14597, 2005, 2017, 1012, 1045, 1521, 1049, 2746, 1999, 1529, 1045, 2215, 2000, 14597, 2005, 2017, 1012, 1524, 1998, 2002, 2056, 1024, 1523, 6621, 1010, 4030, 2091, 1010, 1045, 4033, 1521, 1056, 2130, 2772, 3031, 2023, 3861, 1012, 1045, 1521, 1049, 2025, 2469, 2054, 2017, 1521, 2310, 2657, 1529, 1524, 2002, 2471, 2018, 2000, 2655, 3036, 2005, 2033, 1012, 1045, 1521, 2310, 2196, 2042, 2061, 9376, 2183, 2005, 1037, 2112, 1012, 1998, 1045, 1521, 2310, 2196, 2042, 2061, 8794, 2000, 2131, 1037, 2112, 1999, 2026, 2166, 1012, 1053, 1012, 1996, 2535, 1997, 11748, 27687, 2003, 17319, 1996, 2535, 1997, 1037, 6480, 1012, 2021, 2000, 2377, 1996, 2112, 2017, 1521, 2128, 26275, 5949, 2784, 1999, 2300, 2004, 2112, 1997, 1037, 4677, 1011, 6080, 1010, 2017, 1521, 2310, 5525, 2018, 2000, 4558, 3635, 2000, 2298, 7861, 6305, 15070, 1010, 1998, 2059, 2045, 1521, 1055, 1996, 7209, 2073, 2017, 1521, 2128, 16687, 2046, 19873, 1012, 2061, 1010, 2001, 2009, 1996, 2087, 8186, 9694, 2518, 2017, 1521, 2310, 2412, 26176, 1029, 1998, 2054, 2106, 2027, 2224, 2005, 1996, 4654, 16748, 3672, 1029, 6621, 2990, 2386, 1024, 2054, 2001, 2009, 1029, 2070, 2433, 1997, 23366, 1012, 1998, 2009, 2001, 2200, 1010, 2200, 3147, 1012, 1998, 5752, 1031, 2417, 27871, 2638, 1033, 1010, 2040, 2003, 1037, 2200, 12241, 3124, 1010, 2003, 2025, 2004, 2422, 2004, 2002, 3504, 999, 1045, 7887, 2359, 2000, 2655, 2005, 1037, 3313, 1010, 2030, 1037, 13989, 2030, 2619, 2000, 2272, 1999, 1012, 2009, 1521, 1055, 6881, 2763, 2746, 2013, 2033, 2383, 2209, 22162, 2030, 2383, 2589, 2060, 2895, 5691, 1010, 2017, 1521, 1040, 2763, 2228, 1045, 1521, 1040, 2228, 1037, 3315, 2001, 2183, 2000, 2022, 3733, 1012, 2021, 3087, 2040, 2038, 2412, 2589, 1037, 3315, 4282, 3251, 2017, 1521, 2128, 5613, 2030, 2025, 1010, 8186, 2009, 1521, 1055, 1996, 2087, 3697, 2518, 2017, 2064, 2079, 1012, 1996, 7670, 2008, 3419, 2081, 1997, 2033, 1529, 2002, 2056, 1520, 1045, 2215, 2017, 2000, 2298, 4895, 2890, 3597, 29076, 19150, 1998, 2065, 2111, 2079, 17614, 2017, 1010, 1045, 2215, 2115, 2814, 2000, 2228, 2017, 1521, 2128, 5305, 2012, 1996, 2927, 1521, 1012, 2061, 1010, 2009, 2001, 1037, 7199, 5294, 2689, 2013, 2045, 2000, 2059, 3352, 1996, 3664, 1998, 3744, 11748, 27687, 1999, 2101, 2166, 2073, 1045, 1521, 1040, 2404, 2006, 2763, 2321, 11382, 10483, 1012, 2061, 1010, 1045, 1521, 1040, 2763, 2439, 2321, 1998, 2059, 2404, 2321, 2067, 2006, 1516, 2008, 2978, 2001, 4569, 1010, 2011, 1996, 2126, 1012, 2021, 2054, 1037, 2843, 1997, 2111, 2123, 1521, 1056, 3305, 2055, 4823, 2003, 2008, 4823, 2003, 2200, 3558, 1012, 2009, 1521, 1055, 2625, 2055, 2182, 1031, 18327, 2000, 2677, 1033, 1998, 2126, 2062, 2055, 2182, 1031, 18327, 2875, 3108, 1998, 4308, 1033, 1010, 2061, 2035, 1997, 2216, 2477, 4117, 1010, 2004, 2092, 2004, 14868, 1998, 5554, 2135, 1010, 2009, 1521, 1055, 1996, 2087, 10368, 1516, 1998, 2788, 2035, 2012, 2320, 1012, 2061, 1010, 2009, 1521, 1055, 1996, 2785, 1997, 2518, 2017, 2215, 2004, 2019, 3364, 1012, 2017, 2467, 2215, 2000, 2022, 8315, 1998, 2009, 1521, 1055, 2204, 2000, 2514, 8796, 1012, 7232, 1521, 1055, 2467, 3038, 1024, 1523, 2009, 1521, 1055, 2025, 2467, 1037, 2204, 2518, 2005, 1996, 3145, 2000, 2022, 1996, 6625, 3145, 2005, 2017, 1010, 2138, 2065, 2017, 1521, 2128, 7149, 2007, 6699, 1998, 8146, 2008, 2024, 2521, 2013, 6625, 1010, 2009, 1521, 1055, 2204, 2000, 2031, 2242, 2000, 2147, 2114, 1012, 1524, 1998, 2002, 1521, 1055, 7078, 2157, 1012, 2021, 1045, 1521, 1049, 2428, 8794, 1010, 1998, 2008, 1521, 1055, 1996, 10827, 3110, 2008, 1045, 2031, 1010, 2138, 11748, 27687, 2003, 2066, 1037, 8429, 1012, 2009, 1521, 1055, 2028, 1997, 2216, 3033, 2008, 2017, 3246, 2028, 2154, 2017, 1521, 2128, 2183, 2000, 2131, 2000, 2377, 1012, 2061, 1010, 1045, 1521, 1049, 2200, 1010, 2200, 8794, 1012, 1053, 1012, 1045, 3191, 2006, 1996, 4274, 2008, 2017, 12533, 5735, 25657, 2048, 1997, 1996, 5221, 7807, 1999, 2115, 2476, 1012, 2003, 2008, 2995, 1029, 1998, 2036, 2024, 2017, 11654, 2008, 2002, 2134, 1521, 1056, 3413, 2006, 5580, 2401, 4263, 2012, 1996, 2927, 1029, 6621, 2990, 2386, 1024, 1031, 11680, 1033, 5735, 2106, 3413, 2006, 22162, 1998, 2106, 6592, 2033, 2000, 1996, 2472, 1012, 2009, 2001, 2028, 1997, 1996, 3618, 1010, 2087, 12382, 4490, 1010, 2005, 2033, 1045, 2064, 5674, 1012, 1998, 2036, 1996, 2535, 1045, 2209, 1999, 2660, 1012, 2021, 3458, 2008, 1998, 3458, 2054, 2017, 2453, 3191, 2006, 1996, 4274, 1010, 5735, 2038, 2042, 1037, 2307, 2767, 2000, 2033, 1998, 3391, 2220, 2006, 1999, 2026, 2476, 1012, 1045, 8369, 2032, 2006, 2195, 6642, 2005, 6040, 1998, 2002, 2001, 5791, 1037, 10779, 2000, 2033, 1012, 1998, 2054, 2001, 2061, 10990, 2001, 2000, 2147, 2007, 5735, 1012, 2045, 1521, 1055, 1996, 2214, 15262, 3351, 2008, 2307, 5889, 2064, 2191, 2060, 5889, 2298, 2204, 1010, 2061, 3404, 2033, 1529, 2065, 2017, 1521, 2128, 2412, 1999, 1037, 3185, 1998, 2017, 2064, 2131, 5735, 4500, 2017, 1010, 2009, 1521, 1055, 1037, 2204, 2518, 1012, 2002, 2074, 2716, 2061, 2172, 1012, 1045, 3342, 2154, 2028, 1997, 24760, 2043, 2057, 2777, 2039, 1010, 2002, 2056, 1024, 1523, 2158, 1010, 2023, 2003, 2054, 2017, 3524, 2005, 1012, 2023, 2003, 1996, 3110, 1012, 1524, 3071, 1010, 2130, 5735, 1010, 3071, 1999, 1996, 3459, 2354, 2057, 2020, 2725, 2242, 2008, 2910, 1521, 1056, 2042, 2589, 2077, 1012, 2061, 1010, 2045, 2001, 2008, 12610, 1999, 1996, 2250, 1997, 2023, 2003, 2005, 1996, 2034, 2051, 1012, 2009, 2001, 2074, 2061, 10990, 1012, 1053, 1012, 2017, 3745, 1037, 3496, 2007, 2028, 1997, 1996, 2307, 11748, 27687, 2015, 1999, 8902, 2213, 16237, 1012, 2129, 2001, 2008, 1029, 1998, 2106, 2002, 3413, 2006, 2151, 6040, 2000, 2017, 2055, 1996, 2535, 1029, 6621, 2990, 2386, 1024, 8902, 2213, 16237, 1010, 2004, 1045, 1521, 1049, 2469, 2017, 2035, 2113, 1010, 2209, 1996, 2535, 2761, 1998, 4225, 1996, 2535, 1012, 1045, 2001, 1999, 15180, 1997, 2032, 3652, 2039, 1012, 2010, 2544, 1997, 11748, 27687, 2001, 27159, 2098, 1999, 2026, 2132, 1012, 2009, 1521, 1055, 2028, 1997, 1996, 2307, 4616, 1012, 1998, 1045, 2777, 2032, 2067, 1011, 2754, 2043, 1045, 2001, 2725, 2026, 2028, 1011, 2158, 2265, 1999, 4361, 1998, 2002, 2056, 2002, 2001, 2183, 2000, 2175, 2005, 1996, 3387, 1012, 1998, 2008, 2371, 2061, 3819, 2138, 1996, 3387, 1010, 2004, 5125, 9395, 7009, 2032, 1010, 2003, 1999, 1037, 2126, 2643, 1011, 2066, 1012, 2009, 1521, 1055, 2941, 2028, 1997, 1996, 2087, 3376, 9668, 1997, 1037, 2158, 2412, 2517, 1012, 2065, 2017, 3191, 1996, 2338, 1010, 2009, 1521, 1055, 2055, 1996, 2034, 3438, 5530, 1998, 2005, 1996, 2717, 1997, 1996, 3117, 1996, 3387, 6526, 2005, 11748, 27687, 2004, 2070, 2785, 1997, 3125, 2000, 18759, 1998, 2000, 2444, 2039, 2000, 1012, 1998, 8902, 2213, 2001, 1037, 2210, 2066, 2008, 2005, 2033, 1012, 1998, 2009, 2357, 2041, 1010, 2006, 1996, 2034, 2154, 1997, 7467, 1045, 2001, 2007, 8902, 2213, 1012, 2002, 2001, 2045, 2007, 2010, 2564, 1998, 2057, 2915, 1037, 2154, 2030, 2048, 2012, 1996, 4596, 2795, 1010, 2746, 1999, 1010, 1998, 2059, 1045, 2915, 1996, 14017, 22360, 28940, 2100, 2006, 1996, 2117, 2030, 2353, 2154, 1010, 1998, 1045, 2234, 8721, 2013, 1996, 2277, 1998, 2010, 2564, 2001, 2045, 1998, 2016, 10308, 2033, 1998, 2016, 2001, 2200, 19394, 5649, 1012, 1998, 1045, 2056, 1024, 1523, 2073, 1521, 1055, 8902, 2213, 1029, 1524, 1998, 2016, 2056, 1024, 1523, 2002, 2245, 2651, 2453, 2022, 2488, 2065, 2002, 4741, 1999, 2010, 9117, 1012, 1524, 1998, 1045, 2228, 2009, 1521, 1055, 2028, 1997, 1996, 2087, 12382, 4490, 2151, 3364, 2038, 2412, 2081, 1012, 1998, 2002, 2106, 2507, 2033, 6040, 1012, 2002, 2056, 1024, 1523, 6621, 1010, 1045, 2106, 2054, 2001, 2157, 2005, 2033, 1012, 1998, 2292, 2033, 2425, 2017, 1010, 1045, 2904, 2070, 2477, 1012, 2061, 1010, 2074, 2079, 2054, 1521, 1055, 2157, 2005, 2017, 1998, 2017, 2064, 1521, 1056, 2175, 3308, 1012, 1524, 1053, 1012, 2054, 2001, 2115, 8837, 2299, 2000, 4685, 1029, 6621, 2990, 2386, 1024, 2821, 2175, 4095, 1010, 2009, 1521, 1055, 2061, 2524, 1012, 2005, 2033, 1010, 1996, 14017, 22360, 28940, 2100, 2001, 2066, 2108, 2915, 2041, 1997, 1037, 8854, 2138, 2009, 2001, 1996, 2353, 2154, 1997, 7467, 1998, 2009, 2001, 1037, 2200, 1010, 2200, 6387, 3496, 1012, 3419, 1998, 1045, 2354, 1996, 2785, 1997, 2518, 2057, 2020, 2183, 2005, 1012, 2021, 4298, 2138, 2009, 2001, 2061, 2220, 1010, 1045, 1521, 2222, 2022, 7481, 1998, 2360, 2008, 1045, 1521, 1049, 2025, 2469, 2065, 1045, 5632, 2009, 2004, 2172, 2004, 1045, 2179, 2009, 10368, 1012, 2040, 2572, 1045, 1029, 2003, 2028, 1997, 2026, 8837, 2774, 1012, 2021, 1045, 1521, 2310, 2288, 2000, 2425, 2017, 1010, 2196, 2077, 1999, 2026, 2166, 2031, 1045, 2018, 1037, 2299, 2517, 2005, 2033, 1012, 1998, 2013, 1996, 2154, 1045, 7042, 2009, 1999, 2392, 1997, 7232, 1031, 11349, 18447, 17369, 1033, 1010, 8149, 1011, 8709, 1031, 8040, 8747, 4059, 1033, 1998, 15654, 1031, 8945, 12083, 3669, 2140, 1033, 1010, 2009, 2001, 2066, 1045, 1521, 1040, 2042, 4823, 2009, 2026, 2972, 2166, 1012, 2122, 4364, 2024, 2107, 11067, 2229, 1529, 2027, 2234, 2000, 2156, 2026, 2028, 1011, 2158, 2265, 1998, 2288, 2026, 2376, 1998, 2626, 1037, 2299, 2005, 2033, 1012, 1998, 4823, 2009, 2007, 3376, 13942, 1031, 5297, 1033, 1010, 2040, 3248, 1996, 2402, 2522, 21678, 2063, 1010, 2001, 1037, 2428, 2569, 2617, 1012, 2009, 2001, 2105, 2055, 2093, 7728, 1997, 1996, 2126, 2083, 7467, 1998, 1045, 2001, 8363, 2438, 2000, 2022, 2583, 2000, 5959, 2009, 1012, 1053, 1012, 2054, 2001, 1996, 6888, 2066, 2006, 2275, 1029, 2001, 2009, 2921, 2422, 2000, 24251, 2070, 1997, 1996, 2062, 2139, 24128, 5919, 1997, 1996, 2466, 1029, 6621, 2990, 2386, 1024, 2045, 2020, 2070, 5019, 2073, 2009, 1521, 1055, 10368, 1998, 2017, 2113, 2008, 2017, 1521, 2128, 2108, 2356, 2477, 1997, 2017, 2004, 2019, 3364, 2008, 2017, 4033, 1521, 1056, 2042, 2356, 2077, 1529, 2061, 1010, 1045, 1521, 1049, 2025, 1037, 4118, 3364, 2004, 2057, 2035, 3305, 1996, 2744, 2021, 2823, 2009, 1521, 1055, 3733, 2000, 2994, 1999, 1996, 3608, 1011, 2380, 1012, 1045, 1521, 1049, 2469, 2007, 5752, 1998, 4064, 8397, 2030, 2033, 2007, 3288, 2032, 2188, 2009, 2001, 1529, 1045, 5121, 2056, 2000, 3419, 2008, 3649, 2057, 2079, 2007, 3288, 2032, 2188, 3531, 2123, 1521, 1056, 2202, 1037, 6265, 3338, 2138, 1045, 2123, 1521, 1056, 2215, 2000, 2175, 2185, 2013, 2009, 1010, 2272, 2067, 1998, 2031, 2000, 4010, 2039, 2153, 1012, 2061, 1010, 2009, 2001, 2763, 2416, 2847, 2013, 2927, 2000, 2203, 1012, 2012, 2008, 2051, 1010, 2009, 2371, 2066, 2184 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 29403, 1042, 1012, 14134, 10114, 2629, 20934, 20927, 2063, 10767, 1010, 9964, 2121, 1011, 10439, 24178, 1010, 1058, 1012, 2852, 1012, 2577, 1046, 1012, 6655, 2080, 1010, 2472, 1010, 3146, 2533, 1997, 20983, 1010, 6869, 4765, 1011, 10439, 14774, 2063, 1012, 2053, 1012, 24709, 2620, 2581, 1012, 2142, 2163, 2457, 1997, 9023, 1010, 3587, 4984, 1012, 2254, 2676, 1010, 3359, 1012, 6128, 1048, 1012, 20934, 2818, 24344, 1010, 5759, 1010, 16060, 1012, 1010, 2005, 9964, 2121, 1011, 10439, 24178, 1025, 5953, 1010, 5000, 1010, 13672, 1004, 7087, 3258, 1010, 5759, 1010, 16060, 1012, 1010, 1997, 9517, 1012, 10554, 1039, 1012, 3235, 1010, 2012, 3723, 1012, 8991, 1012, 1997, 3146, 1010, 2053, 2721, 2317, 1010, 2034, 4632, 2102, 1012, 2012, 3723, 1012, 8991, 1012, 1010, 23440, 8109, 1010, 3237, 4632, 2102, 1012, 2012, 3723, 1012, 8991, 1012, 1010, 2798, 1056, 1012, 3123, 1010, 2035, 2080, 1038, 1012, 11465, 1010, 3781, 1012, 1010, 2728, 1039, 1012, 4870, 1010, 2728, 1043, 1012, 18243, 4181, 1010, 4632, 2102, 1012, 2012, 3723, 1005, 1055, 1012, 8991, 1012, 1010, 5899, 1010, 16060, 1012, 1010, 2005, 6869, 4765, 1011, 10439, 14774, 2063, 1012, 2077, 9866, 1010, 16337, 9766, 1998, 9304, 1010, 4984, 6794, 1012, 9304, 1010, 4984, 3648, 1024, 1015, 20934, 20927, 2063, 10767, 2003, 3529, 1037, 2166, 6251, 1999, 1996, 3146, 3827, 2291, 27081, 2000, 2010, 10652, 1999, 3882, 1010, 2241, 2588, 2010, 14865, 1997, 5905, 2077, 1037, 6467, 2000, 1996, 4028, 1997, 2010, 2564, 1012, 1016, 1999, 2337, 1997, 3380, 1010, 1996, 9964, 2121, 6406, 2019, 4646, 2005, 25697, 1997, 5292, 4783, 3022, 13931, 1999, 1996, 20462, 2075, 3146, 2457, 1012, 1996, 2168, 3648, 2040, 15506, 2012, 1996, 9964, 2121, 1005, 1055, 3979, 3174, 1011, 2028, 2086, 3041, 2218, 2019, 4866, 10358, 17302, 4994, 1012, 10767, 2001, 3421, 2011, 9517, 1998, 2001, 2556, 2012, 1996, 4994, 1012, 1996, 2110, 2457, 2179, 2008, 10767, 1005, 1055, 9517, 2012, 1996, 2051, 1997, 3979, 2020, 17824, 1998, 4621, 1998, 2008, 10767, 2001, 22856, 2119, 2012, 1996, 2051, 1997, 1996, 3222, 1997, 1996, 2552, 1998, 2012, 1996, 2051, 1997, 1996, 3979, 1012, 2206, 1996, 4994, 1010, 1996, 3979, 2457, 6406, 2517, 9556, 1997, 2755, 1998, 15306, 1997, 2375, 16039, 1996, 25697, 1012, 1996, 2457, 1997, 4735, 9023, 6380, 1996, 9964, 2302, 2517, 5448, 1012, 1017, 9964, 2121, 2059, 8979, 2046, 2976, 2212, 2457, 23294, 1996, 2168, 5286, 2008, 2018, 2042, 11551, 13647, 1999, 1996, 2110, 2457, 1012, 1996, 2212, 2457, 6380, 1996, 25697, 1997, 5292, 4783, 3022, 13931, 2302, 2019, 10358, 17302, 4994, 18345, 2006, 2054, 2009, 6219, 2004, 1037, 2440, 1998, 4189, 4994, 2011, 1996, 2110, 2457, 1012, 7687, 2059, 2057, 2024, 4458, 2006, 1996, 9556, 1997, 2755, 2011, 1996, 2110, 2457, 1012, 2057, 7901, 1998, 2128, 2386, 2094, 1012, 1018, 1996, 2685, 2992, 2011, 9964, 2121, 2006, 2023, 5574, 2035, 7872, 2013, 20934, 20927, 2063, 10767, 1005, 1055, 5177, 8190, 1012, 1996, 2501, 2004, 2764, 1999, 1996, 2110, 8931, 2917, 7127, 1996, 2206, 8866, 1012, 1019, 1996, 13474, 1010, 2040, 2003, 1037, 12593, 1010, 2003, 1037, 2158, 1997, 1000, 2659, 2779, 2504, 1997, 4454, 1000, 2007, 1037, 7718, 1045, 1012, 1053, 1012, 1006, 1999, 3982, 1007, 1997, 2069, 3938, 1012, 2002, 8046, 2082, 2044, 1996, 2353, 2030, 2959, 3694, 2043, 2002, 2001, 2385, 2030, 2459, 2086, 2214, 1012, 2002, 2001, 7462, 1999, 3826, 2043, 2002, 2001, 2484, 1010, 2872, 1999, 1996, 1057, 1012, 1055, 1012, 2390, 1998, 4137, 2005, 4611, 1999, 1996, 2148, 3534, 1012, 2045, 2002, 1000, 2018, 1037, 2193, 1997, 8293, 2015, 1997, 6355, 5248, 1010, 2043, 2002, 5561, 2000, 3102, 3738, 1517, 1998, 2002, 2941, 4457, 2070, 1997, 2068, 1000, 1012, 1020, 2006, 2255, 2484, 1010, 3826, 1010, 2002, 2018, 1037, 5177, 12554, 1012, 2588, 2010, 9634, 2000, 1996, 2492, 2902, 2006, 2008, 2154, 1010, 2002, 2001, 11441, 2004, 1000, 23683, 1011, 28667, 29264, 1012, 1000, 1996, 2206, 2154, 1010, 1037, 2062, 3143, 2902, 3189, 4838, 1996, 11616, 1000, 4958, 9463, 18075, 1010, 2882, 15451, 1010, 2007, 4178, 1997, 4958, 9463, 20746, 1006, 6519, 2953, 1007, 18224, 6190, 1000, 1010, 2007, 1996, 2206, 12629, 1024, 1021, 1000, 1008, 1008, 1008, 26189, 2102, 1012, 8207, 11042, 1008, 1008, 1008, 2038, 2124, 1996, 13866, 1012, 1006, 5776, 1007, 2005, 2058, 2702, 1061, 2869, 1012, 1010, 1998, 2002, 4311, 2008, 13866, 1012, 2038, 2018, 4958, 9463, 20746, 9530, 19722, 4877, 8496, 2144, 2010, 5593, 1012, 28694, 2038, 2464, 2028, 2043, 13866, 1012, 3062, 2006, 1996, 11996, 1998, 3480, 2010, 2132, 1012, 2002, 4311, 2008, 13866, 1012, 2018, 17952, 1999, 2010, 2677, 1012, 1996, 13866, 1012, 1010, 2002, 4311, 1010, 2097, 2788, 2031, 14978, 2015, 11003, 1996, 6297, 1010, 1998, 2022, 6355, 5728, 1012, 2002, 2038, 19810, 4784, 2055, 2010, 3738, 8929, 2027, 2024, 2667, 2000, 3480, 2032, 1012, 1008, 1008, 1008, 1000, 1022, 2138, 1997, 2010, 5177, 7355, 1010, 1996, 13474, 2001, 12302, 1998, 2872, 1999, 22200, 4244, 1999, 1996, 2492, 2902, 1025, 2001, 2059, 2513, 2000, 26593, 2236, 2902, 1010, 2662, 1010, 1998, 2006, 2285, 2322, 1010, 3826, 1010, 2001, 5462, 2000, 1996, 18243, 22270, 2236, 2902, 1010, 4907, 3077, 1010, 5612, 1012, 2045, 1037, 11265, 10976, 18075, 20881, 12412, 2604, 6749, 2006, 2254, 2570, 1010, 3646, 2008, 1996, 9964, 2121, 2022, 14374, 2005, 5177, 4436, 1012, 1996, 2604, 2179, 2008, 2002, 2001, 7218, 2005, 2188, 2729, 1998, 5214, 1997, 6608, 3293, 4981, 1012, 1023, 2044, 2010, 11889, 1010, 10767, 10070, 6614, 10895, 1010, 1998, 2012, 2028, 2391, 2001, 7331, 2000, 2416, 2086, 10219, 1999, 6751, 2005, 13742, 1012, 2002, 4593, 6376, 2013, 1996, 6751, 3827, 1010, 2587, 1037, 9661, 1010, 1998, 2776, 6357, 2039, 1999, 11113, 9463, 2638, 1010, 3146, 1012, 2184, 2045, 2002, 2496, 1010, 2211, 5948, 4600, 1998, 2001, 1999, 5377, 4390, 2007, 1996, 2375, 1012, 4821, 2096, 1999, 2019, 18835, 24646, 17822, 2002, 2730, 2010, 2564, 1998, 3357, 1011, 2684, 2011, 6276, 2037, 4641, 2125, 2007, 1037, 14998, 5442, 1012, 2340, 2044, 2010, 10652, 2005, 2023, 2087, 22293, 4126, 1010, 10767, 2001, 8580, 1999, 1996, 3146, 2110, 3827, 2012, 28492, 1010, 3146, 1012, 10767, 2211, 3529, 2010, 2166, 6251, 2006, 2251, 2260, 1010, 3882, 1010, 2484, 2420, 2044, 1996, 9916, 1012, 2044, 2195, 8293, 2015, 1010, 1996, 3827, 18146, 11441, 1996, 13474, 2004, 1037, 1000, 8040, 4048, 6844, 8458, 7389, 2594, 19810, 2828, 1000, 2006, 2258, 1023, 1010, 4085, 1012, 2002, 2985, 1996, 2279, 2416, 2086, 1999, 1996, 18224, 25940, 4829, 1517, 2073, 2013, 4085, 1011, 4868, 2002, 2363, 2070, 25113, 3751, 5213, 13441, 1012, 1999, 2251, 1997, 3982, 1010, 2002, 2001, 14374, 2013, 1996, 18224, 25940, 4829, 1010, 2021, 2001, 4137, 2000, 1996, 1000, 18771, 3131, 1000, 1517, 2073, 2002, 2985, 2178, 2176, 2086, 1999, 12477, 2138, 1997, 2010, 5177, 4650, 1012, 1996, 2197, 8317, 12654, 1999, 1996, 3827, 2636, 6052, 2257, 2385, 1010, 3476, 1010, 7127, 2008, 1996, 13474, 1005, 1055, 5177, 8190, 2031, 2025, 3092, 1024, 2260, 1000, 8605, 1024, 14868, 14480, 18224, 25940, 3653, 3207, 4263, 2007, 2397, 3372, 14974, 1998, 18258, 1008, 1008, 1008, 1012, 2002, 5280, 6553, 1998, 13047, 2000, 19815, 2006, 2111, 2065, 28409, 1012, 10634, 2000, 10634, 3671, 3754, 1012, 19810, 7461, 1012, 1000, 2410, 1000, 4013, 26745, 6190, 1024, 3395, 3544, 2000, 2022, 2019, 16655, 15549, 6767, 9289, 3891, 2000, 2554, 1999, 2026, 5448, 1012, 1000, 2403, 2009, 2003, 15848, 2008, 2053, 9128, 1997, 10767, 1005, 1055, 5566, 9407, 2000, 3233, 3979, 2001, 2081, 2012, 1996, 2051, 1996, 14865, 2001, 3133, 1012, 2023, 2001, 1996, 2765, 1997, 1037, 9487, 2275, 1997, 6214, 1012, 2034, 1010, 1996, 3979, 2001, 2019, 2742, 1997, 1000, 26203, 3979, 1000, 2012, 2049, 9170, 4355, 1012, 1996, 17873, 1997, 2824, 2001, 1024, 2238, 2324, 1010, 3882, 1010, 1996, 9916, 1025, 2238, 2538, 1010, 24265, 1025, 2238, 2603, 1010, 9517, 2805, 1025, 2238, 2654, 1010, 3979, 5115, 2021, 14475, 1025, 2251, 1021, 1010, 4443, 1997, 5905, 14865, 1010, 1998, 2251, 2260, 1010, 6251, 1012, 2321, 2028, 1997, 1996, 9964, 2121, 1005, 1055, 3979, 9517, 4914, 2012, 1996, 2110, 5292, 4783, 3022, 4994, 2008, 2002, 2354, 2242, 1997, 10767, 1005, 1055, 5177, 3471, 2021, 2008, 2002, 2106, 2025, 2113, 1997, 10767, 1005, 1055, 11889, 2013, 1996, 2390, 2005, 5177, 4436, 1012, 9517, 2081, 2053, 3535, 2000, 4013, 23887, 1996, 9964, 2121, 1005, 1055, 2510, 2636, 1998, 2106, 2025, 3535, 2000, 18012, 1996, 2457, 2008, 2045, 2453, 2022, 2070, 4797, 2004, 2000, 10767, 1005, 1055, 22219, 1012, 2385, 2087, 6022, 1996, 6458, 2040, 4727, 10767, 14914, 2012, 1996, 2110, 5292, 4783, 3022, 4994, 1012, 2010, 10896, 8847, 2005, 2993, 1012, 2459, 1000, 1053, 2035, 2157, 1012, 2106, 2017, 2113, 2505, 2055, 20934, 20927, 2063, 2383, 2366, 1999, 1996, 2390, 1029, 2324, 1037, 2053, 1010, 2909, 1010, 2021, 1045, 2354, 2002, 2018, 1037, 18224, 11889, 1012, 2539, 1053, 2106, 2017, 2655, 2008, 2000, 1996, 3086, 1997, 1996, 12388, 29163, 4905, 1010, 9686, 3597, 4787, 1029, 2322, 1037, 2941, 1010, 1045, 2123, 1005, 1056, 2113, 1012, 1045, 2123, 1005, 1056, 2113, 2055, 2008, 1012, 20934, 20927, 2063, 2001, 6015, 1997, 1996, 3242, 1998, 2057, 2001, 6015, 1997, 1996, 11889, 1012, 1998, 2027, 1517, 2027, 2081, 1037, 3066, 2007, 20934, 20927, 2063, 2065, 2002, 2876, 1005, 1056, 5254, 2008, 11889, 2059, 2057, 2876, 1005, 1056, 5254, 2008, 3242, 1012, 2065, 2002, 2052, 2074, 2202, 2166, 1998, 2025, 5254, 2008, 11889, 1010, 2339, 1010, 1517, 2538, 1053, 2008, 2001, 1996, 3066, 1012, 2043, 2017, 2360, 1036, 2057, 1005, 2024, 2017, 3331, 2055, 2008, 1005, 1055, 1996, 3066, 2008, 2001, 2081, 2007, 1996, 2212, 4905, 1998, 20934, 20927, 2063, 1029, 2570, 1037, 2092, 1010, 2085, 1010, 1045, 2123, 1005, 1056, 2113, 2055, 2008, 1012, 1045, 2081, 2008, 3066, 2870, 2039, 2045, 2007, 20934, 20927, 2063, 1999, 1996, 7173, 1012, 2085, 1010, 3251, 1996, 2212, 4905, 1998, 1996, 2221, 4905, 2356, 2033, 2000, 2079, 2008, 1010, 2030, 3251, 1045, 2165, 2009, 2006, 2870, 1517, 1045, 2453, 2031, 2042, 2058, 3286, 16313, 6313, 2045, 2006, 2870, 1012, 2603, 1053, 1999, 2060, 2616, 1010, 2017, 2020, 5052, 1996, 2110, 1998, 1996, 11537, 1998, 6936, 2023, 2007, 20934, 20927, 2063, 10767, 4426, 1029, 2484, 1037, 2009, 2785, 1997, 3504, 2008, 2185, 2085, 1010, 2748, 1010, 2909, 1012, 2423, 1053, 1998, 2017, 2409, 2032, 1517, 2092, 1010, 2074, 2054, 2106, 2017, 2425, 2032, 1029, 2656, 1037, 1045, 2409, 2032, 2065, 2002, 2876, 1005, 1056, 5254, 2008, 11889, 2059, 2057, 2876, 1005, 1056, 5254, 2008, 3242, 1012, 1000, 2676, 6986, 2063, 1058, 1012, 6157, 1010, 4229, 2509, 1057, 1012, 1055, 1012, 18034, 1010, 6564, 1055, 1012, 14931, 1012, 6640, 2575, 1010, 2321, 1048, 1012, 3968, 1012, 14134, 6282, 2629, 1006, 3547, 1007, 1010, 3084, 2009, 3154, 2008, 1996, 10652, 1997, 2019, 5496, 2711, 2040, 2003, 2025, 10597, 17824, 2000, 3233, 3979, 23640, 2015, 2349, 2832, 1012, 2023, 6543, 2157, 3685, 2022, 16301, 2011, 1996, 4297, 25377, 12870, 3372, 1517, 2011, 5905, 14865, 2030, 4728, 1517, 1998, 2947, 2009, 2442, 2022, 5123, 2011, 11706, 2110, 8853, 1012, 11914, 1010, 2004, 2023, 2457, 2218, 1999, 2049, 4372, 7221, 2278, 3247, 1999, 3389, 1058, 1012, 2110, 1997, 6041, 1010, 1019, 25022, 2099, 1012, 3476, 1010, 4229, 2575, 1042, 1012, 14134, 5989, 1024, 2654, 1000, 1008, 1008, 1008, 2043, 1037, 7267, 1010, 2593, 2110, 2030, 2976, 1010, 6224, 2695, 1011, 10652, 4335, 1010, 19514, 2007, 6937, 8866, 2000, 2067, 2039, 2010, 2035, 29107, 3508, 1010, 2008, 2012, 1996, 2051, 1997, 1996, 3979, 2002, 2001, 2025, 10597, 17824, 2000, 3233, 3979, 1010, 1998, 2008, 2045, 2001, 2053, 5813, 1997, 2008, 10480, 3277, 2077, 2002, 2001, 2699, 1010, 7979, 1998, 7331, 1010, 1996, 3860, 1997, 1996, 15276, 7450, 2000, 1996, 4552, 5942, 2008, 2107, 10652, 1998, 6251, 2022, 2275, 4998, 4983, 2588, 11706, 4994, 2009, 2003, 3491, 2008, 2002, 2001, 10597, 17824, 2000, 3233, 3979, 1012, 1000, 1006, 4229, 2575, 1042, 1012, 14134, 2012, 8746, 1007, 2756, 1996, 4994, 3130, 2218, 2011, 1996, 2110, 2457, 2000, 5646, 1996, 9964, 2121, 1005, 1055, 5566, 9407, 2000, 3233, 3979, 1999, 3882, 2001, 6135, 14710, 1012, 1996, 21025, 3367, 1997, 1996, 10896, 1997, 1996, 3913, 9390, 2001, 2008, 10767, 2001, 2812, 1010, 2008, 2002, 2106, 4689, 2477, 1010, 2021, 2008, 2002, 2001, 22856, 1012, 2107, 10896, 16481, 2210, 2182, 1012, 10767, 1005, 1055, 2919, 1010, 2812, 1010, 4689, 4490, 2052, 8100, 2022, 3378, 2007, 10767, 1005, 1055, 15967, 2791, 2738, 2084, 2825, 19272, 1012, 1999, 2460, 1010, 1996, 25519, 2052, 7166, 2000, 2552, 2004, 1037, 7308, 2000, 14249, 2013, 3913, 14009, 1996, 3267, 1998, 6698, 1997, 3649, 2825, 5177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 18561, 5665, 1012, 10439, 1012, 7605, 26953, 1006, 2997, 1007, 23523, 1050, 1012, 1041, 1012, 14134, 6163, 2475, 1996, 2111, 1997, 1996, 2110, 1997, 4307, 1010, 20579, 1011, 10439, 14774, 2063, 1010, 1058, 1012, 10805, 20750, 1010, 13474, 1011, 10439, 24178, 1012, 16839, 1012, 1017, 1011, 6584, 1011, 5709, 24434, 2083, 1017, 1011, 6584, 1011, 5709, 23499, 9530, 2015, 1012, 4307, 23240, 2457, 2353, 2212, 1012, 5448, 6406, 2281, 1021, 1010, 2997, 1012, 1008, 28135, 2726, 1037, 1012, 25307, 25646, 1010, 1997, 25307, 25646, 1004, 25307, 25646, 1010, 1052, 1012, 1039, 1012, 1010, 1997, 14380, 2102, 1010, 2005, 10439, 24178, 1012, 3487, 1046, 1012, 5972, 1010, 2110, 1005, 1055, 4905, 1010, 1997, 8183, 8751, 2102, 1006, 2198, 1060, 1012, 7987, 2229, 4115, 1010, 1997, 2110, 1005, 1055, 16214, 23240, 12478, 1005, 1055, 2436, 1010, 1997, 9517, 1007, 1010, 2005, 1996, 2111, 1012, 8689, 19768, 1012, 3425, 26578, 15395, 2099, 5359, 1996, 5448, 1997, 1996, 2457, 1024, 1996, 3979, 2457, 7979, 1996, 13474, 1010, 10805, 20750, 1010, 1997, 4439, 2104, 1996, 3747, 1997, 6544, 1010, 4439, 2007, 1037, 3052, 1011, 6544, 4180, 3618, 2084, 1014, 1012, 2184, 1010, 1998, 4439, 2096, 2010, 6105, 2001, 22837, 1012, 1006, 5665, 1012, 7065, 1012, 28093, 1012, 3055, 1010, 10381, 1012, 5345, 1015, 1013, 1016, 1010, 11968, 2015, 1012, 2340, 1011, 16202, 1006, 1037, 1007, 1006, 1016, 1007, 1010, 2340, 1011, 16202, 1006, 1037, 1007, 1006, 1015, 1007, 1010, 1020, 1011, 19988, 1006, 1037, 1007, 1012, 1007, 1996, 2457, 7331, 1996, 13474, 2000, 4293, 2420, 1999, 1037, 2147, 1011, 2713, 2565, 1012, 1996, 13474, 9023, 1012, 1996, 2501, 3065, 2008, 2006, 2089, 2385, 1010, 3069, 1010, 2118, 2380, 2610, 2961, 1038, 1012, 13675, 10698, 2078, 2179, 1996, 13474, 1005, 1055, 2482, 1999, 1037, 14033, 1012, 2961, 13675, 10698, 2078, 14914, 2008, 1996, 13474, 2001, 14319, 2058, 1996, 9602, 5217, 1010, 2979, 2041, 1012, 2044, 3810, 2125, 1996, 2482, 1005, 1055, 3194, 1010, 13675, 10698, 2078, 8271, 1996, 13474, 1012, 2961, 13675, 10698, 2078, 3264, 2008, 1996, 13474, 2018, 4390, 3061, 1010, 3788, 1998, 14120, 2000, 3980, 1012, 2013, 2014, 3325, 2004, 1037, 2610, 2961, 1010, 2016, 3373, 2002, 2001, 2046, 9048, 12921, 1012, 2019, 2046, 9048, 2135, 6290, 3525, 3936, 2008, 1996, 13474, 2018, 1037, 3052, 1011, 6544, 4180, 1997, 1014, 1012, 2410, 1012, 2006, 2892, 1011, 7749, 1010, 2961, 13675, 10698, 2078, 8969, 2008, 1999, 2014, 3189, 1997, 1996, 5043, 2016, 2018, 2025, 3090, 2008, 1996, 2482, 1005, 1055, 3194, 2001, 2770, 1010, 2069, 2008, 1996, 6309, 2020, 1999, 1996, 4316, 1012, 13675, 10698, 2078, 2582, 3264, 2008, 2043, 2016, 2179, 2009, 1010, 1996, 2482, 2001, 2025, 3298, 3085, 1998, 2018, 2000, 2022, 18948, 2185, 1012, 1996, 13474, 14914, 2008, 2043, 2961, 13675, 10698, 2078, 2179, 2032, 1999, 2010, 2482, 1010, 2002, 2001, 4688, 2006, 1996, 2392, 2835, 1010, 6680, 1998, 2007, 2010, 2482, 6309, 1999, 2010, 4979, 1012, 2002, 6380, 5948, 2151, 6544, 3188, 2000, 4439, 2046, 1996, 14033, 1012, 2069, 2044, 2002, 3651, 2008, 2002, 2001, 5881, 2106, 2002, 4392, 2048, 18484, 1997, 5404, 1008, 21679, 2002, 2018, 1999, 1996, 19978, 1012, 2002, 2101, 4342, 2008, 2010, 2482, 2018, 1037, 3714, 5495, 8473, 1012, 2006, 5574, 1010, 1996, 13474, 2034, 9251, 2008, 2002, 2001, 2025, 4928, 5905, 3458, 1037, 9608, 4797, 1997, 4439, 2096, 2104, 1996, 3747, 1997, 6544, 1012, 2930, 2340, 1011, 16202, 1997, 1996, 4307, 4316, 3642, 1006, 1996, 3642, 1007, 3640, 1999, 7882, 2112, 1024, 1000, 1006, 1037, 1007, 1037, 2711, 4618, 2025, 3298, 2030, 2022, 1999, 5025, 3558, 2491, 1997, 2151, 4316, 2306, 2023, 2110, 2096, 1024, 1015, 1012, 1996, 6544, 6693, 1999, 2107, 2711, 1005, 1055, 2668, 2030, 3052, 2003, 1014, 1012, 2184, 2030, 2062, 1008, 1008, 1008, 1025, 1031, 2030, 1033, 1016, 1012, 2104, 1996, 3747, 1997, 6544, 1012, 1000, 5665, 1012, 7065, 1012, 28093, 1012, 3055, 1010, 10381, 1012, 5345, 1015, 1013, 1016, 1010, 11968, 2015, 1012, 2340, 1011, 16202, 1006, 1037, 1007, 1006, 1015, 1007, 1010, 1006, 1037, 1007, 1006, 1016, 1007, 1012, 1999, 2490, 1997, 2010, 6685, 1010, 1996, 13474, 27481, 2015, 2008, 2045, 2001, 2053, 3350, 2008, 2002, 2001, 2046, 9048, 12921, 2077, 2010, 2482, 2253, 2046, 1996, 14033, 1012, 2002, 17248, 2195, 3572, 1999, 2029, 1996, 16362, 2020, 1999, 2482, 13436, 1998, 2020, 2101, 4727, 2043, 2027, 2513, 2000, 2037, 3765, 7144, 1012, 1999, 2169, 2553, 1010, 1996, 2457, 2179, 2008, 1996, 2110, 2018, 3478, 2000, 6011, 2008, 1996, 13474, 2001, 2046, 9048, 12921, 2012, 1996, 2051, 2002, 5225, 2010, 2482, 1012, 1006, 2156, 2111, 1058, 1012, 17343, 1006, 3299, 1007, 1010, 4601, 5665, 1012, 10439, 1012, 7605, 5986, 1010, 3486, 2509, 1050, 1012, 1041, 1012, 14134, 14677, 1012, 1007, 1999, 2216, 3572, 1010, 2174, 1010, 1996, 16362, 4415, 2020, 2025, 1999, 5025, 3558, 2491, 1997, 2037, 3765, 2043, 2027, 2020, 4727, 1012, 11914, 1010, 2144, 2057, 2424, 2008, 2023, 2553, 2003, 4758, 2011, 1996, 1000, 5025, 3558, 2491, 1000, 11075, 1997, 2930, 2340, 1011, 16202, 1010, 2057, 2424, 1996, 13474, 1005, 1055, 6685, 4895, 7347, 6692, 12742, 1012, 1015, 3365, 4307, 3572, 2031, 6936, 2054, 17367, 1000, 5025, 3558, 2491, 1000, 1997, 1037, 4316, 1012, 2009, 2003, 2092, 2511, 2008, 1996, 13474, 2342, 2025, 2941, 2022, 4082, 1037, 3048, 4316, 1012, 1006, 2111, 1058, 1012, 3124, 10695, 1006, 3339, 1007, 1010, 3943, 5665, 1012, 10439, 1012, 7605, 6421, 2575, 1010, 27908, 1050, 1012, 1041, 1012, 14134, 23688, 1012, 1007, 3458, 2008, 1010, 5025, 3558, 2491, 2003, 1037, 3160, 1997, 2755, 2029, 2442, 2022, 2787, 2006, 1037, 2553, 1011, 2011, 1011, 2553, 3978, 1012, 1006, 2111, 1058, 1012, 2002, 18505, 2078, 1006, 3069, 1007, 1010, 16087, 5665, 1012, 10439, 1012, 7605, 19975, 1010, 4749, 2487, 1050, 1012, 1041, 1012, 14134, 6584, 2475, 1012, 1007, 2174, 1010, 3056, 3350, 2038, 8385, 2042, 2218, 2000, 5769, 5025, 3558, 2491, 1012, 3227, 1010, 6947, 2008, 1996, 13474, 2001, 1999, 1996, 4062, 1005, 1055, 2835, 1010, 8679, 1996, 17446, 3145, 1010, 1998, 2018, 1996, 3558, 10673, 1997, 3225, 1996, 3194, 1998, 4439, 2030, 3048, 1996, 4316, 21009, 5025, 3558, 2491, 1012, 2002, 18505, 2078, 1010, 16087, 5665, 1012, 10439, 1012, 7605, 2012, 20713, 1012, 2582, 1010, 4307, 5434, 2031, 8385, 2218, 2008, 1037, 13474, 2089, 2022, 1999, 5025, 3558, 2491, 1997, 2010, 4316, 2130, 2295, 2002, 2003, 6680, 1999, 2009, 1012, 1006, 2111, 1058, 1012, 5215, 1006, 3355, 1007, 1010, 4700, 5665, 1012, 10439, 1012, 7605, 5179, 2620, 1010, 4029, 2475, 1050, 1012, 1041, 1012, 14134, 28941, 1012, 1007, 2116, 1997, 1996, 3572, 2007, 2008, 3173, 11160, 2006, 2111, 1058, 1012, 3124, 10695, 1006, 3339, 1007, 1010, 3943, 5665, 1012, 10439, 1012, 7605, 6421, 2575, 1010, 27908, 1050, 1012, 1041, 1012, 14134, 23688, 1012, 2045, 1010, 2023, 2457, 2218, 2008, 2009, 2106, 1000, 2025, 2156, 2505, 2029, 2052, 19515, 1037, 4884, 7848, 2030, 2270, 3343, 2000, 9146, 2019, 2046, 9048, 12921, 2711, 2000, 1036, 3637, 2009, 2125, 1005, 2369, 1996, 5217, 1997, 1037, 1008, 27200, 9083, 2482, 1012, 1000, 3943, 5665, 1012, 10439, 1012, 7605, 2012, 6421, 2683, 1010, 27908, 1050, 1012, 1041, 1012, 14134, 2012, 22343, 1012, 3124, 10695, 2038, 2018, 2049, 20010, 22648, 6591, 1012, 1999, 2111, 1058, 1012, 17803, 1006, 3055, 1007, 1010, 17867, 5665, 1012, 10439, 1012, 7605, 22955, 1010, 4868, 2575, 1050, 1012, 1041, 1012, 14134, 5818, 2475, 1010, 1996, 13474, 2187, 1037, 13090, 1999, 2029, 2002, 2018, 2042, 5948, 1010, 4625, 1996, 2395, 2000, 2010, 10142, 9083, 4744, 1010, 2288, 1999, 1998, 2253, 2000, 3637, 1012, 2002, 2001, 3525, 4727, 1998, 2010, 4062, 1005, 1055, 6105, 2001, 7680, 7849, 6588, 6731, 2044, 2002, 17351, 4188, 2000, 2202, 1037, 3052, 1011, 6544, 3231, 1012, 1996, 3979, 2457, 24501, 15459, 5732, 1996, 12654, 8636, 1997, 1996, 13474, 1005, 1055, 4062, 1005, 1055, 6105, 1010, 4531, 2008, 1996, 2610, 2018, 2025, 2018, 9608, 5286, 2000, 2903, 1996, 13474, 2001, 1999, 5025, 3558, 2491, 1997, 2010, 4316, 1012, 18345, 1999, 2112, 2006, 3124, 10695, 1005, 1055, 4531, 1997, 2053, 1000, 3637, 1011, 2009, 1011, 2125, 1000, 3343, 1999, 4307, 1010, 1037, 3484, 1997, 1996, 23240, 2457, 2218, 2008, 1996, 13474, 2001, 1999, 5025, 3558, 2491, 1997, 2010, 4744, 1012, 2174, 1010, 1037, 24116, 2075, 3648, 5837, 3124, 10695, 1010, 4531, 2008, 2045, 2001, 2498, 3308, 2007, 2019, 2046, 9048, 12921, 2711, 2893, 2046, 2010, 4744, 2000, 1000, 3637, 2009, 2125, 1012, 1000, 1996, 3937, 14848, 1997, 3124, 10695, 1010, 2008, 1037, 5777, 2711, 2369, 1996, 5217, 1997, 1037, 9083, 2482, 2064, 12192, 2693, 2046, 1037, 4439, 2597, 2073, 2002, 2064, 2203, 25121, 2500, 1010, 3464, 2614, 1012, 2582, 1010, 1999, 2019, 4307, 4439, 2104, 1996, 3747, 11537, 1010, 1996, 2110, 2003, 2025, 3223, 2000, 6011, 1996, 13474, 1005, 1055, 7848, 2000, 2404, 1996, 4316, 2046, 4367, 1006, 12826, 2110, 1058, 1012, 18509, 1006, 3381, 1007, 1010, 4185, 1050, 1012, 1046, 1012, 13092, 1010, 22997, 1037, 1012, 14134, 19955, 1007, 1010, 2061, 1037, 5777, 13474, 1005, 1055, 7848, 2003, 22537, 1999, 12515, 3251, 1996, 2110, 2777, 2049, 10859, 1997, 6947, 1012, 2057, 2024, 4986, 1010, 2174, 1010, 2008, 2083, 2051, 1998, 4935, 2011, 4745, 2457, 6996, 2015, 1010, 3124, 10695, 2089, 2031, 2468, 4675, 21572, 26638, 2000, 2554, 1005, 1055, 3125, 1997, 4346, 3647, 10292, 1012, 1999, 3522, 2086, 1010, 1996, 2270, 1998, 1996, 6372, 2031, 2468, 6233, 4986, 2007, 1996, 6441, 1998, 6677, 3303, 2011, 2046, 9048, 12921, 6853, 1012, 1999, 2019, 3947, 2000, 2562, 2046, 9048, 12921, 2111, 2013, 4439, 1010, 1996, 6372, 2038, 8401, 6675, 1996, 12408, 2005, 4439, 2104, 1996, 3747, 1012, 1996, 6372, 1005, 1055, 4506, 2031, 2042, 5642, 2011, 6923, 11845, 1998, 1037, 2236, 2865, 3947, 2000, 16957, 1996, 2270, 2114, 4439, 2096, 2046, 9048, 12921, 1012, 2057, 2064, 5987, 2008, 2087, 2111, 5382, 1010, 2004, 2027, 2681, 1037, 13090, 2030, 2283, 2046, 9048, 12921, 1010, 2008, 2027, 2227, 3809, 17147, 2065, 2027, 3298, 1012, 2096, 1996, 6871, 3433, 2052, 2022, 2005, 2107, 2111, 2593, 2000, 2424, 6585, 2965, 1997, 2893, 2188, 2030, 2000, 3961, 2012, 1996, 13090, 2030, 2283, 2302, 2893, 2369, 1996, 5217, 2127, 17358, 1010, 2023, 2003, 2025, 2467, 2589, 1012, 1998, 2096, 2057, 2064, 2360, 2008, 2107, 2111, 2323, 2031, 4370, 17358, 2030, 3740, 2488, 1010, 2008, 2515, 2025, 12689, 3973, 10663, 2023, 2035, 1011, 2205, 1011, 6976, 3653, 14808, 24996, 1012, 2005, 1996, 2046, 9048, 12921, 2711, 3236, 2090, 2478, 2010, 4316, 2005, 7713, 2127, 2002, 2003, 17358, 2030, 2478, 2009, 2000, 3298, 2188, 1010, 3124, 10695, 16171, 1008, 27502, 2032, 2000, 3535, 2000, 2855, 3298, 2188, 1010, 2738, 2084, 2000, 3637, 2009, 2125, 1999, 1996, 2482, 1010, 2073, 2002, 2097, 2022, 1037, 14400, 2000, 2610, 1012, 2057, 2903, 2009, 2052, 2022, 9544, 3085, 1010, 1998, 1999, 2240, 2007, 4884, 7848, 1998, 2591, 3343, 1010, 2000, 3191, 2062, 16991, 2046, 3124, 10695, 1012, 1999, 2216, 4678, 12107, 2073, 1996, 8866, 2265, 2008, 1037, 13474, 2001, 2582, 2075, 1996, 3125, 1997, 13726, 10292, 2011, 17912, 1000, 5777, 2009, 2125, 1000, 1999, 2010, 4316, 1010, 1998, 2008, 2002, 2018, 2053, 7848, 1997, 3048, 1996, 4316, 1010, 3979, 5434, 2323, 2022, 3039, 2000, 2424, 2008, 1996, 13474, 2001, 2025, 1000, 1999, 5025, 3558, 2491, 1000, 1997, 1996, 4316, 2005, 5682, 1997, 2930, 2340, 1011, 16202, 1012, 1996, 2556, 2553, 2003, 2025, 2028, 1997, 2216, 4678, 12107, 1010, 2021, 2612, 7336, 1996, 4703, 2179, 25652, 1997, 2019, 2046, 9048, 12921, 13474, 5777, 1999, 2010, 2482, 2044, 4439, 2009, 2046, 1037, 14033, 1012, 2096, 1996, 13474, 3024, 1037, 2204, 1011, 6926, 6925, 1997, 2129, 2002, 2234, 2000, 2022, 7144, 1999, 1037, 14033, 1010, 1996, 3979, 2457, 2001, 2025, 27885, 14715, 3064, 2000, 2903, 2032, 1012, 1016, 2006, 5574, 1010, 2057, 2024, 27885, 14715, 3064, 2000, 3193, 1996, 3350, 1999, 1996, 2422, 2087, 11119, 2000, 1996, 11537, 1012, 1006, 2111, 1058, 1012, 6868, 1006, 3106, 1007, 1010, 10114, 5665, 1012, 14134, 23297, 1010, 4700, 2620, 1050, 1012, 1041, 1012, 14134, 25491, 1012, 1007, 1999, 2008, 2422, 1010, 1996, 3350, 3065, 2008, 2012, 1996, 2051, 1997, 2010, 6545, 1010, 1996, 13474, 2001, 8901, 1999, 1996, 4062, 1005, 1055, 2835, 1997, 2010, 2482, 1010, 2008, 1996, 2482, 1005, 1055, 3194, 2001, 2770, 1010, 1998, 2008, 1996, 13474, 2001, 8186, 5214, 1997, 3048, 1996, 2482, 1012, 2057, 2424, 2008, 1996, 2110, 4928, 3458, 1037, 9608, 4797, 2008, 1996, 13474, 2001, 1000, 1999, 5025, 3558, 2491, 1000, 1997, 2010, 2482, 1012, 1996, 13474, 2582, 9251, 1010, 2174, 1010, 2008, 2010, 2482, 2001, 2025, 1037, 1000, 4316, 1000, 2005, 5682, 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, 1015, 1012, 4087, 2492, 4725, 2005, 5716, 4857, 3152, 1997, 20681, 5733, 2024, 21362, 1010, 1998, 2062, 4919, 1010, 4725, 2005, 5716, 4857, 3152, 1997, 20681, 5733, 2024, 21362, 2029, 9611, 1996, 3471, 3378, 2007, 3930, 3446, 8358, 2076, 1996, 2832, 1997, 5716, 1996, 3152, 1012, 2019, 14709, 2003, 21362, 2005, 1996, 2143, 5716, 2832, 2029, 8681, 1037, 3384, 8514, 1998, 1037, 20018, 9587, 12423, 10514, 11020, 23606, 2953, 2383, 1037, 9507, 2953, 2828, 3684, 2121, 21866, 1999, 1037, 4574, 1012, 1016, 1012, 6412, 1997, 1996, 3141, 2396, 3227, 1010, 4857, 3152, 2719, 2006, 20681, 23725, 2024, 2719, 2011, 4488, 19806, 2832, 1999, 1037, 4574, 1012, 20965, 1012, 1015, 2003, 1037, 2892, 1011, 27197, 16403, 28252, 1037, 5072, 20064, 19806, 14709, 1999, 2029, 6194, 2024, 2864, 2028, 11333, 7512, 2012, 1037, 2051, 1012, 7727, 2000, 20965, 1012, 1015, 1010, 1037, 13308, 8681, 1037, 3384, 8514, 2340, 1998, 1037, 4574, 2410, 1012, 1037, 3684, 2121, 2459, 2005, 10808, 1037, 20681, 16305, 2676, 2003, 5614, 1999, 1037, 10514, 11020, 23606, 2953, 2321, 3605, 1997, 10629, 4221, 1012, 1996, 10514, 11020, 23606, 2953, 2321, 5829, 20018, 1012, 2043, 1996, 20681, 16305, 2676, 2003, 12889, 1999, 1996, 4574, 1010, 1996, 10514, 11020, 23606, 2953, 2321, 2003, 6668, 2000, 1037, 3653, 3207, 3334, 25089, 2597, 1010, 1998, 1996, 16305, 2676, 2003, 2333, 2083, 1037, 4574, 4443, 4576, 2539, 1998, 2872, 2006, 1996, 10514, 11020, 23606, 2953, 2321, 2011, 1037, 8957, 2849, 1012, 6920, 1010, 1996, 10514, 11020, 23606, 2953, 2321, 2003, 4196, 2000, 1037, 3653, 3207, 3334, 25089, 2597, 1010, 1998, 3120, 3806, 2003, 19737, 2083, 1037, 3806, 13307, 2538, 2046, 1996, 4574, 13557, 1010, 5072, 20064, 19806, 4668, 2003, 2318, 2000, 4982, 1037, 4857, 2143, 2006, 1996, 20681, 16305, 1012, 2044, 1996, 3930, 2832, 1997, 1996, 4857, 2143, 2003, 2949, 1010, 1996, 10514, 11020, 23606, 2953, 2321, 2003, 6668, 2153, 1010, 1998, 1996, 16305, 2676, 2383, 1037, 4857, 2143, 2045, 2239, 2003, 2333, 2083, 1996, 4574, 4443, 4576, 2538, 2041, 1997, 1996, 4574, 2011, 1996, 8957, 2849, 1998, 2059, 1037, 2047, 20681, 16305, 2003, 2872, 2006, 1996, 10514, 11020, 23606, 2953, 2321, 1010, 1998, 1996, 2034, 5402, 1997, 2832, 2003, 2949, 1012, 2174, 1010, 1996, 4857, 3152, 4961, 2006, 1996, 16305, 2079, 2025, 2031, 1996, 2168, 14983, 2348, 1996, 2168, 2832, 2003, 2864, 2000, 4982, 4857, 2143, 2006, 2367, 20681, 23725, 1012, 20965, 1012, 1016, 2003, 1037, 10629, 28252, 1996, 14983, 1997, 26572, 27572, 28524, 2143, 2719, 2006, 11333, 24396, 13995, 2429, 2000, 23851, 5537, 2478, 1996, 14709, 3491, 20965, 1012, 1015, 1012, 20965, 1012, 1016, 3065, 2008, 1037, 9059, 14983, 2003, 4663, 2013, 1996, 6280, 11333, 7512, 1012, 2809, 11333, 24396, 3025, 2000, 1996, 6280, 11333, 7512, 2024, 2109, 2004, 24369, 23725, 1010, 2029, 2003, 2200, 1999, 12879, 8873, 23402, 3372, 1012, 2348, 1996, 3930, 2832, 2003, 2864, 2104, 1996, 2168, 3785, 1010, 2169, 4857, 2143, 2038, 2367, 14983, 2349, 2000, 4489, 2090, 1996, 5025, 2832, 4044, 1998, 1996, 2832, 3785, 2275, 2011, 14709, 6872, 1012, 1996, 3930, 3177, 1997, 26572, 27572, 28524, 2003, 7591, 2000, 4860, 1012, 1996, 5025, 3302, 4860, 1997, 1996, 16305, 12980, 2013, 1996, 2275, 4860, 2138, 1996, 10514, 11020, 23606, 2953, 2321, 5829, 20018, 2004, 3491, 1999, 20965, 1012, 1015, 1998, 1996, 3292, 2090, 1996, 8514, 2340, 1998, 1996, 16305, 2676, 2003, 2025, 5377, 1012, 1996, 8514, 2340, 2029, 2003, 3605, 1997, 3384, 2038, 6196, 8339, 7730, 1999, 1037, 19934, 2846, 2164, 19934, 1997, 14611, 9938, 1998, 1996, 20681, 16305, 2676, 2036, 2038, 6196, 1010, 4414, 1012, 1996, 3302, 4860, 1997, 1996, 16305, 2676, 2003, 5360, 2011, 3684, 7686, 2013, 1996, 8514, 2340, 2004, 2092, 2004, 3684, 4146, 2013, 1996, 9507, 2953, 2828, 3684, 2121, 2459, 1012, 1996, 3684, 7686, 2013, 1996, 8514, 2340, 4150, 15863, 2004, 1996, 3292, 2090, 1996, 8514, 2340, 1998, 1996, 16305, 2676, 4150, 3618, 1012, 2182, 1010, 1996, 10514, 11020, 23606, 2953, 12237, 3030, 1999, 18373, 2110, 2077, 1996, 4857, 2143, 3930, 2832, 4627, 1012, 2174, 1010, 2043, 1996, 2832, 4627, 1010, 1996, 10514, 11020, 23606, 2953, 2321, 4269, 2000, 2693, 2039, 1998, 2091, 8385, 1998, 1996, 3302, 4860, 1997, 1996, 16305, 2340, 9010, 1012, 1996, 4860, 4530, 1997, 16305, 2003, 10596, 2011, 4860, 13907, 2107, 2004, 1996, 10867, 24163, 6279, 2571, 1006, 2025, 3491, 1007, 1010, 1998, 1996, 3684, 2121, 2459, 2003, 2582, 9685, 2000, 5441, 1996, 9059, 4860, 1997, 16305, 1012, 2174, 1010, 1996, 4860, 28715, 5942, 2172, 2051, 2138, 1996, 9507, 2953, 2828, 3684, 2121, 2459, 2515, 2025, 3202, 10509, 2000, 3623, 1999, 2373, 4162, 2000, 1996, 3684, 2121, 2459, 1012, 2004, 1037, 2765, 1010, 2043, 1996, 4857, 2143, 3930, 2832, 4627, 1010, 2169, 1997, 3322, 12889, 11333, 24396, 2038, 4857, 3152, 2383, 2367, 14983, 2719, 2045, 2239, 2138, 1996, 2832, 2003, 2025, 2864, 2012, 1996, 9059, 2275, 4860, 1012, 2004, 2649, 2682, 1010, 2138, 4857, 3152, 2719, 2006, 20681, 23725, 3322, 12889, 2028, 2012, 1037, 2051, 1999, 1996, 14709, 2515, 2025, 2031, 9059, 14983, 1010, 1996, 7511, 4118, 2005, 5716, 4857, 3152, 1997, 20681, 2015, 13416, 1996, 15836, 1997, 20681, 5733, 1010, 8558, 2139, 16307, 2075, 10750, 21739, 1012, 11914, 1010, 1037, 4118, 2003, 21362, 2005, 5716, 4857, 3152, 1997, 20681, 5733, 1010, 9605, 4488, 1037, 3653, 20192, 3436, 2832, 2077, 1996, 2364, 2832, 2000, 27790, 1996, 3302, 4860, 1997, 10514, 11020, 23606, 2953, 2061, 2008, 1996, 4860, 4530, 2349, 2000, 7471, 2929, 1997, 1996, 10514, 11020, 23606, 2953, 2003, 29258, 1012, 1037, 4118, 2005, 5716, 1037, 4857, 2143, 2006, 1037, 20681, 16305, 2003, 21362, 1010, 16726, 1996, 20681, 16305, 2003, 13532, 2000, 1037, 4857, 2143, 4195, 2832, 1999, 1037, 4857, 2143, 4195, 14709, 4820, 1037, 4574, 1010, 1037, 10514, 11020, 23606, 2953, 20018, 9587, 12423, 1999, 1996, 4574, 1998, 1037, 3684, 2121, 21866, 2306, 1996, 10514, 11020, 23606, 2953, 1010, 1996, 4118, 9605, 1037, 3653, 20192, 3436, 2832, 2005, 17079, 18622, 6774, 1996, 4722, 4860, 1997, 1996, 4574, 2011, 20018, 3048, 1996, 10514, 11020, 23606, 2953, 1037, 3653, 3207, 3334, 25089, 2193, 1997, 2335, 3188, 2000, 1996, 4857, 2143, 4195, 2832, 1012, 2009, 2003, 9544, 3085, 2008, 1037, 2813, 1998, 5894, 1997, 1996, 4574, 8681, 3384, 1010, 1998, 1996, 3653, 20192, 3436, 2832, 2003, 2864, 2104, 1999, 8743, 3806, 7224, 2007, 1037, 24369, 16305, 5614, 2006, 1996, 10514, 11020, 23606, 2953, 1012, 1996, 3653, 20192, 3436, 2832, 2003, 2864, 2478, 1037, 3120, 3806, 3479, 2013, 1996, 2177, 5398, 1997, 9033, 2232, 2549, 1010, 9033, 2475, 2232, 2575, 1010, 9033, 2475, 2232, 2475, 6895, 2475, 1010, 16216, 2232, 2549, 1010, 16216, 2475, 2232, 2575, 1010, 16216, 2475, 2232, 2475, 6895, 2475, 1998, 14930, 21739, 1012, 2009, 2003, 9544, 3085, 2008, 1996, 2193, 1997, 7471, 5750, 1997, 1996, 10514, 11020, 23606, 2953, 2003, 4340, 2011, 1996, 5876, 9605, 1037, 2644, 2597, 1010, 1037, 2051, 2558, 2012, 1996, 2644, 2597, 1997, 1996, 10514, 11020, 23606, 2953, 1998, 14930, 21739, 2061, 2008, 4722, 4860, 1997, 1996, 4574, 2003, 27697, 1012, 1996, 10514, 11020, 23606, 2953, 5829, 20018, 1015, 2000, 2382, 2335, 2076, 1996, 3653, 20192, 3436, 2832, 1012, 1996, 4860, 1997, 20681, 16305, 2003, 27697, 2012, 1037, 4860, 7478, 2013, 5174, 2000, 5385, 2595, 2278, 2475, 2595, 2692, 1039, 1012, 2044, 1996, 3653, 20192, 3436, 2832, 1012, 1037, 4118, 2005, 5716, 1037, 4857, 2143, 2006, 1037, 20681, 16305, 2003, 21362, 1010, 16726, 1996, 20681, 16305, 2003, 13532, 2000, 1037, 4857, 2143, 4195, 2832, 1999, 1037, 4857, 2143, 4195, 14709, 4820, 1037, 4574, 1010, 1037, 10514, 11020, 23606, 2953, 20018, 9587, 12423, 1999, 1996, 4574, 1998, 1037, 3684, 2121, 21866, 2306, 1996, 10514, 11020, 23606, 2953, 1010, 1996, 4118, 9605, 4488, 1037, 3653, 20192, 3436, 2832, 1010, 3188, 2000, 1037, 4857, 2143, 4195, 2832, 1010, 2005, 17079, 18622, 6774, 1996, 4722, 4860, 1997, 1996, 4574, 2011, 4292, 1996, 4860, 1997, 1996, 3684, 2121, 3020, 2084, 1996, 4860, 3223, 2005, 1996, 4857, 2143, 4195, 2832, 2005, 1037, 3653, 3207, 3334, 25089, 2051, 2558, 7182, 2000, 19079, 2005, 1037, 4860, 4530, 2349, 2000, 7471, 2929, 1997, 1996, 10514, 11020, 23606, 2953, 1999, 1996, 4857, 2143, 4195, 2832, 1012, 2009, 2003, 9544, 3085, 2008, 1996, 4860, 1997, 1996, 3684, 2121, 2076, 1996, 3653, 20192, 3436, 1010, 2832, 2003, 2275, 2531, 2000, 3263, 2595, 2278, 2475, 2595, 2692, 1039, 1012, 3020, 2084, 1037, 4860, 3223, 2076, 1996, 4857, 2143, 4195, 2832, 1012, 1996, 3653, 20192, 3436, 2832, 2003, 2864, 2104, 1999, 8743, 3806, 7224, 2007, 1037, 24369, 16305, 5614, 2006, 1996, 10514, 11020, 23606, 2953, 1012, 1996, 3653, 20192, 3436, 2832, 2003, 2864, 2478, 1037, 3120, 3806, 3479, 2013, 1996, 2177, 5398, 1997, 9033, 2232, 2549, 1010, 9033, 2475, 2232, 2575, 1010, 9033, 2475, 2232, 2475, 6895, 2475, 1010, 16216, 2232, 2549, 1010, 16216, 2475, 2232, 2575, 1010, 16216, 2475, 2232, 2475, 6895, 2475, 1998, 14930, 21739, 1012, 3227, 1010, 1996, 3684, 2121, 2003, 2109, 2012, 1037, 4860, 7478, 2013, 6352, 2000, 6694, 2595, 2278, 2475, 2595, 2692, 1039, 1012, 1037, 4118, 2005, 5716, 1037, 4857, 2143, 2006, 1037, 20681, 16305, 2003, 21362, 1010, 16726, 1996, 20681, 16305, 2003, 13532, 2000, 1037, 4857, 2143, 4195, 2832, 1999, 1037, 26226, 2094, 4574, 1010, 1996, 4118, 2582, 9605, 1037, 3653, 20192, 3436, 2832, 2005, 17079, 18622, 6774, 1996, 4722, 4860, 1997, 1996, 4574, 2011, 20018, 3048, 1996, 10514, 11020, 23606, 2953, 1037, 3653, 3207, 3334, 25089, 2193, 1997, 2335, 3188, 2000, 1037, 4857, 2143, 4195, 2832, 1012, 1037, 3653, 20192, 3436, 2832, 9605, 7471, 2929, 1997, 10514, 11020, 23606, 2953, 2003, 2864, 2077, 1996, 4857, 2143, 4195, 2832, 2000, 2031, 1996, 3302, 4860, 1997, 10514, 11020, 23606, 2953, 2000, 3921, 1996, 3302, 4860, 3223, 2076, 1996, 5025, 2832, 1012, 2023, 16263, 1996, 4857, 3152, 2719, 2006, 1996, 20681, 16305, 2013, 2383, 4489, 1999, 14983, 1998, 3200, 2043, 1996, 4195, 2832, 2003, 2864, 2012, 14480, 7715, 1999, 1037, 26226, 2094, 14709, 2383, 1037, 20018, 3048, 10514, 11020, 23606, 2953, 1010, 1037, 9507, 2953, 2828, 3684, 2121, 1998, 1037, 3384, 8514, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3653, 7913, 4017, 3672, 1997, 28148, 2003, 1037, 4187, 3357, 1999, 1996, 16012, 15869, 2799, 2000, 2659, 1011, 6351, 6381, 5193, 20145, 1012, 5492, 7738, 1010, 25874, 11917, 4935, 1006, 21358, 10288, 1007, 1010, 1998, 29454, 10421, 5648, 13441, 2024, 4703, 2109, 2000, 12554, 1998, 1013, 2030, 2128, 21759, 7088, 4371, 5622, 29076, 2078, 5090, 1999, 28148, 1010, 2437, 5699, 2015, 2062, 7801, 2005, 13248, 17266, 7507, 3089, 10803, 1998, 10768, 10867, 19304, 6194, 1032, 1031, 1031, 1030, 13675, 2487, 1033, 1011, 1031, 1030, 13675, 2629, 1033, 1032, 1033, 1012, 1996, 4525, 3653, 7913, 4383, 28148, 5460, 3397, 2350, 6177, 1006, 5699, 1010, 5622, 29076, 2078, 1010, 1998, 2061, 2006, 1007, 1998, 3576, 6177, 2066, 7554, 14817, 24653, 1010, 2300, 1011, 24345, 2659, 8382, 3635, 10099, 2107, 2004, 6519, 27942, 2389, 1010, 18479, 18037, 11368, 29598, 27942, 27942, 2389, 1006, 20287, 2546, 1007, 1010, 1998, 3158, 8591, 2378, 1010, 2004, 2092, 2004, 2060, 3469, 16627, 3688, 1032, 1031, 1031, 1030, 13675, 2475, 1033, 1032, 1033, 1012, 1996, 2300, 1011, 24345, 6177, 2024, 2411, 10768, 10867, 19304, 25456, 1010, 2061, 2009, 2003, 16166, 2000, 5547, 2037, 2537, 2030, 3584, 2068, 2077, 4745, 16012, 1011, 6364, 4084, 1032, 1031, 1031, 1030, 13675, 2575, 1033, 1032, 1033, 1012, 2195, 4725, 2024, 2109, 2000, 6366, 24054, 2100, 10099, 2013, 10768, 10867, 19304, 22953, 26830, 1012, 5072, 4725, 2064, 2022, 2109, 2000, 10509, 24054, 2100, 10099, 2046, 16389, 3596, 1032, 1031, 1031, 1030, 13675, 2509, 1033, 1010, 1031, 1030, 13675, 2575, 1033, 1032, 1033, 1012, 6897, 5461, 2064, 2036, 2022, 2109, 2000, 2139, 24170, 6519, 27942, 2389, 1998, 20287, 2546, 2046, 2062, 28378, 10737, 1032, 1031, 1031, 1030, 13675, 2581, 1033, 1032, 1033, 1012, 8745, 2015, 2478, 27216, 1010, 10163, 3863, 24604, 2015, 1010, 1998, 8878, 6351, 2024, 2036, 2019, 5724, 2005, 24054, 8208, 2013, 1996, 3653, 1011, 10768, 10867, 19304, 22953, 2705, 1032, 1031, 1031, 1030, 13675, 2620, 1033, 1011, 1031, 1030, 13675, 12521, 1033, 1032, 1033, 1012, 2005, 2742, 1010, 1996, 13228, 8208, 1997, 6519, 27942, 2389, 2013, 14108, 7300, 2038, 2042, 7645, 2478, 26572, 21756, 7389, 2063, 1998, 2777, 3270, 26775, 8516, 2594, 28517, 2099, 24604, 2015, 1006, 8994, 22779, 1011, 2241, 27216, 1060, 4215, 1011, 1018, 1010, 1060, 4215, 1011, 1021, 1007, 2302, 12473, 5699, 16189, 1010, 8558, 9229, 22886, 2537, 1999, 13248, 10768, 10867, 19304, 1032, 1031, 1031, 1030, 13675, 2620, 1033, 1032, 1033, 1012, 2348, 5144, 2107, 2004, 5930, 11675, 3872, 1998, 4834, 10146, 2024, 2124, 2000, 7461, 1996, 8745, 1010, 17782, 18479, 20200, 3012, 2003, 1996, 3078, 5387, 12473, 1996, 2836, 1997, 2119, 17782, 24604, 2015, 1032, 1031, 1031, 1030, 13675, 2620, 1033, 1032, 1033, 1012, 1037, 3145, 1996, 10867, 7716, 18279, 7712, 16381, 2008, 5577, 1996, 4022, 1997, 1037, 17782, 2000, 3584, 1037, 4539, 13922, 2003, 1996, 13571, 19064, 1032, 1031, 1031, 1030, 13675, 17134, 1033, 1011, 1031, 1030, 13675, 15136, 1033, 1032, 1033, 1012, 22701, 2075, 1996, 12955, 1997, 1996, 17782, 2000, 1996, 7637, 1037, 4226, 3560, 6922, 2003, 1037, 2691, 5656, 2005, 4483, 9530, 15464, 3981, 7666, 2066, 2000, 7630, 8625, 1998, 17770, 8625, 1010, 2073, 18479, 20200, 27216, 2024, 2109, 2000, 14817, 2659, 1011, 14017, 12083, 15148, 2512, 1011, 11508, 10737, 2013, 1996, 1037, 4226, 3560, 23735, 1032, 1031, 1031, 1030, 13675, 16048, 1033, 1010, 1031, 1030, 13675, 16147, 1033, 1010, 1031, 1030, 13675, 11387, 1033, 1032, 1033, 1012, 1999, 5688, 1010, 11508, 10768, 10867, 19304, 25456, 2066, 6519, 27942, 2389, 1999, 1996, 3653, 1011, 10768, 10867, 19304, 22953, 26830, 2097, 5478, 1037, 2062, 11508, 17782, 2594, 2427, 2005, 2019, 4621, 8745, 5679, 1012, 1996, 3800, 1997, 2023, 3259, 2003, 2000, 10463, 5072, 26406, 1011, 2241, 9918, 2046, 1037, 6742, 3399, 2005, 14669, 17782, 4989, 2005, 15502, 16326, 1011, 2241, 8745, 11683, 1012, 1996, 4187, 16381, 2008, 24110, 3775, 14213, 1996, 16326, 13571, 2075, 2005, 1037, 2427, 1006, 1008, 1045, 1008, 1007, 2090, 1037, 17782, 1006, 1008, 1052, 1008, 1007, 1998, 1037, 23735, 1006, 2300, 1027, 1008, 1059, 1008, 1007, 2003, 1996, 14442, 13571, 19064, 1006, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1063, 1047, 1065, 1035, 1063, 1052, 1013, 1059, 1065, 1034, 1045, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 1007, 1010, 2029, 2064, 2022, 5228, 6388, 2135, 2011, 1032, 1031, 1031, 1030, 13675, 16048, 1033, 1032, 1033, 1025, 1002, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1063, 1047, 1065, 1035, 1063, 1052, 1013, 1059, 1065, 1034, 1045, 1027, 1032, 25312, 2278, 1063, 1039, 1035, 1052, 1065, 1063, 1039, 1035, 1059, 1065, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 1002, 2073, 1008, 1039, 1008, 1066, 1008, 1052, 1008, 1066, 2003, 1996, 14442, 6693, 1997, 1996, 4539, 7328, 1999, 1996, 17782, 4403, 1998, 1008, 1039, 1008, 1066, 1008, 1059, 1008, 1066, 2003, 2049, 14442, 6693, 1999, 1996, 2300, 4403, 1012, 1996, 3469, 1996, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1063, 1047, 1065, 1035, 1063, 1052, 1013, 1059, 1065, 1034, 1045, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 3643, 1010, 1996, 3618, 1996, 16730, 1996, 4539, 13922, 2038, 2005, 1996, 4217, 17782, 4403, 1012, 14442, 13571, 2075, 7885, 2024, 19974, 2864, 2000, 5646, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1063, 1047, 1065, 1035, 1063, 1052, 1013, 1059, 1065, 1034, 1045, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 5300, 1010, 2021, 1037, 1996, 10867, 7716, 18279, 7712, 3921, 7218, 2005, 17547, 1997, 7637, 1037, 4226, 3560, 6177, 2097, 2022, 1037, 3145, 12607, 1999, 1996, 4989, 1997, 1996, 15502, 17782, 2005, 2224, 1999, 8745, 2015, 1012, 2195, 8107, 2000, 29458, 1996, 13571, 19064, 2064, 2022, 2179, 1999, 1996, 3906, 1012, 2122, 2421, 8382, 20831, 5950, 1032, 1031, 1031, 1030, 13675, 17465, 1033, 1032, 1033, 1010, 7399, 14017, 21596, 2943, 6550, 1006, 1048, 8043, 2015, 1007, 1032, 1031, 1031, 1030, 13675, 19317, 1033, 1032, 1033, 1010, 1998, 13109, 10253, 1011, 8549, 16529, 3399, 1032, 1031, 1031, 1030, 13675, 21926, 1033, 1011, 1031, 1030, 13675, 17788, 1033, 1032, 1033, 1012, 1999, 2256, 3663, 1010, 2478, 1037, 13109, 10253, 1011, 8549, 16529, 9373, 20167, 2003, 6413, 2138, 2009, 6115, 2005, 2946, 4487, 27694, 6447, 2090, 1037, 4226, 3560, 14017, 10421, 1998, 17782, 1032, 1031, 1031, 1030, 13675, 18827, 1033, 1010, 1031, 1030, 13675, 23833, 1033, 1010, 1031, 1030, 13675, 22907, 1033, 1032, 1033, 1998, 2064, 2022, 2582, 11038, 2005, 29454, 10421, 1010, 2659, 8382, 3635, 9530, 15464, 3981, 7666, 13571, 2075, 2046, 2312, 17782, 8859, 1010, 4525, 1999, 1996, 3670, 1024, 1002, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1032, 8833, 1032, 2187, 1006, 1063, 1047, 1065, 1035, 1063, 1052, 1013, 1059, 1065, 1034, 1045, 1032, 2157, 1007, 1027, 1011, 1032, 8833, 1032, 2187, 1006, 1063, 1055, 1065, 1035, 1059, 1034, 1045, 1063, 1032, 2058, 4179, 1063, 1058, 1065, 1065, 1035, 1045, 1032, 2157, 1007, 1011, 1032, 25312, 2278, 1063, 1032, 2187, 1031, 1015, 1009, 1032, 9610, 1032, 2157, 1033, 1065, 1063, 1016, 1012, 19988, 1065, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 1002, 2073, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1063, 1047, 1065, 1035, 1063, 1052, 1013, 1059, 1065, 1034, 1045, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 2003, 1996, 14442, 13571, 19064, 1997, 1996, 4539, 13922, 1006, 1008, 1045, 1008, 1007, 2090, 17782, 1006, 1008, 1052, 1008, 1007, 1998, 2300, 1006, 1008, 1059, 1008, 1007, 12335, 1010, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1063, 1055, 1065, 1035, 1059, 1034, 1045, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 1998, 1002, 1032, 6254, 26266, 1031, 2260, 13876, 1033, 1063, 10124, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 26212, 2705, 1065, 1032, 2224, 23947, 4270, 1063, 2001, 7274, 24335, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 22747, 12162, 2015, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 4757, 24335, 2497, 1065, 1032, 2224, 23947, 4270, 1063, 2572, 19022, 6508, 1065, 1032, 2224, 23947, 4270, 1063, 8785, 2869, 10343, 1065, 1032, 2224, 23947, 4270, 1063, 2039, 28637, 2243, 1065, 1032, 2275, 7770, 13512, 2232, 1063, 1032, 10238, 5178, 7849, 11528, 1065, 1063, 1011, 6353, 13876, 1065, 1032, 4088, 1063, 6254, 1065, 1002, 1002, 1063, 1032, 2058, 4179, 1063, 1058, 1065, 1065, 1035, 1045, 1002, 1002, 1032, 2203, 1063, 6254, 1065, 1002, 2024, 1996, 2300, 14017, 12083, 15148, 1998, 9587, 8017, 3872, 1997, 1996, 13922, 1006, 1008, 1045, 1008, 1007, 2108, 15901, 1012, 1996, 13109, 10253, 1011, 8549, 16529, 8290, 16381, 1008, 1177, 1008, 2064, 2022, 2582, 15796, 2094, 2011, 2478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1999, 1996, 2457, 1997, 4735, 9023, 1997, 5298, 2012, 8423, 4137, 2006, 28760, 2244, 2184, 1010, 2268, 11320, 10993, 12791, 1998, 5951, 3972, 6305, 6820, 2480, 1058, 1012, 2110, 1997, 5298, 5574, 2013, 1996, 4984, 2457, 2005, 6031, 2221, 2053, 1012, 1042, 1011, 5345, 20842, 6554, 1038, 1012, 6156, 1010, 3781, 1012, 1010, 3648, 2053, 1012, 25525, 8889, 2620, 1011, 5890, 20842, 2620, 1011, 10507, 2050, 1011, 1054, 2509, 1011, 7473, 1011, 6406, 2285, 2184, 1010, 2268, 9964, 2545, 1010, 11320, 10993, 12791, 1998, 5951, 3972, 6305, 6820, 2480, 1010, 2169, 20228, 2098, 5905, 2000, 2117, 3014, 4028, 1998, 2048, 9294, 1997, 25817, 24912, 1999, 6031, 2221, 1999, 3863, 2005, 4621, 11746, 1997, 4228, 1011, 2416, 2086, 1012, 9964, 2545, 2059, 2169, 6406, 23259, 24320, 2005, 2695, 1011, 10652, 4335, 1012, 2044, 1037, 4101, 4994, 2006, 1996, 24320, 2005, 4335, 1010, 1996, 2695, 1011, 10652, 2457, 6380, 4335, 1010, 4531, 2008, 9964, 2545, 2106, 2025, 4374, 20694, 5375, 1997, 9517, 1998, 2008, 2037, 5905, 22512, 2020, 3133, 4209, 2135, 1010, 17912, 1010, 1998, 9414, 2135, 1012, 2044, 1037, 3319, 1997, 1996, 2501, 1010, 2057, 5646, 2008, 9964, 2545, 2031, 3478, 2000, 2265, 2008, 2027, 2363, 20694, 5375, 1997, 9517, 2030, 2008, 2037, 5905, 22512, 2020, 3133, 1999, 6767, 26896, 7559, 6588, 1012, 11914, 1010, 1996, 26186, 1997, 1996, 2695, 1011, 10652, 2457, 2024, 19768, 1012, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 1017, 5574, 2004, 1997, 2157, 1025, 26186, 1997, 1996, 4984, 2457, 2024, 19768, 1012, 6128, 1048, 1012, 3044, 1010, 1046, 1012, 1010, 5359, 1996, 5448, 1997, 1996, 2457, 1010, 1999, 2029, 20692, 22034, 13958, 2571, 1998, 1046, 1012, 1039, 1012, 11338, 4115, 1010, 29017, 1012, 1010, 2587, 1012, 13007, 4629, 1010, 11338, 10020, 2078, 3077, 1010, 5298, 1010, 2005, 10439, 24178, 1010, 11320, 10993, 12791, 1012, 2728, 8379, 1010, 9774, 1010, 5298, 1010, 2005, 10439, 24178, 1010, 5951, 3972, 6305, 6820, 2480, 1012, 2728, 1041, 1012, 6201, 1010, 3781, 1012, 1010, 4905, 2236, 1998, 6398, 1025, 5215, 1038, 1012, 14630, 1010, 3353, 4905, 2236, 1025, 1998, 13898, 1039, 1012, 2844, 1010, 2212, 4905, 2236, 1010, 1010, 2005, 1996, 10439, 14774, 2063, 1010, 2110, 1997, 5298, 1012, 5448, 25854, 4281, 1999, 2244, 1997, 2494, 1010, 1037, 2569, 5219, 1997, 1996, 6031, 2221, 2882, 6467, 2513, 2019, 24265, 2114, 5951, 3972, 6305, 6820, 2480, 1010, 11320, 10993, 12791, 1010, 1998, 19469, 14255, 3672, 2884, 2005, 2028, 4175, 1997, 2034, 3014, 4028, 1010, 2028, 4175, 1997, 24648, 4028, 1010, 2176, 9294, 1997, 25817, 24912, 1998, 2028, 4175, 1997, 9714, 2000, 10797, 2034, 3014, 4028, 1012, 1996, 2093, 2273, 2020, 21801, 2005, 2037, 2535, 1999, 1996, 2331, 1997, 17508, 5953, 1012, 9964, 2545, 7197, 14255, 3672, 2884, 1999, 4292, 5796, 1012, 5953, 2006, 2543, 2096, 2016, 7771, 1999, 2014, 9117, 1012, 1996, 2273, 20706, 3373, 5796, 1012, 5953, 2018, 7376, 16034, 2013, 2068, 1012, 3188, 2000, 3979, 1010, 1996, 2110, 2081, 1996, 3247, 2000, 7323, 1996, 2331, 6531, 1012, 2006, 2238, 1017, 1010, 2384, 1010, 9964, 2121, 12791, 1998, 9964, 2121, 3972, 6305, 6820, 2480, 2487, 3133, 2046, 1037, 13630, 14865, 3820, 2007, 1996, 2110, 1012, 1996, 3820, 9675, 2008, 2169, 9964, 2121, 2052, 25803, 5905, 2000, 2117, 3014, 4028, 1998, 2048, 9294, 1997, 25817, 24912, 1012, 1996, 3588, 9294, 1997, 1996, 24265, 2020, 7219, 1012, 1999, 3863, 2005, 1996, 5905, 22512, 1010, 9964, 2545, 2363, 1037, 4228, 1011, 2416, 2095, 6251, 2000, 2022, 2366, 2012, 2531, 1003, 2005, 1996, 2117, 3014, 4028, 10652, 1012, 9964, 2545, 2363, 2019, 7763, 1011, 2095, 6251, 2000, 2022, 2366, 2012, 2531, 1003, 2005, 2169, 25817, 24912, 10652, 1012, 1996, 11746, 2005, 25817, 24912, 2020, 3641, 2000, 2448, 5486, 2135, 2000, 2169, 2060, 2021, 15442, 2000, 1996, 6251, 2005, 2117, 3014, 4028, 1010, 2005, 1037, 2561, 4621, 6251, 1997, 4228, 1011, 2416, 2086, 2012, 2531, 1003, 1999, 1996, 2533, 1997, 18140, 1012, 2044, 1996, 4443, 1997, 1996, 5905, 22512, 1010, 9964, 2545, 6406, 3584, 4013, 7367, 24320, 2005, 2695, 1011, 10652, 4335, 1012, 1999, 2037, 24320, 1010, 2027, 5275, 2008, 2027, 2363, 20694, 5375, 1997, 9517, 1998, 2008, 2037, 5905, 22512, 2020, 4895, 2243, 19779, 15787, 1998, 1999, 6767, 26896, 7559, 6588, 3133, 1012, 1996, 2695, 1011, 10652, 2457, 2805, 9517, 1998, 2218, 1037, 4994, 2006, 1996, 24320, 2005, 2695, 1011, 10652, 4335, 1012, 9964, 2121, 12791, 2012, 1996, 4994, 1010, 9964, 2121, 12791, 6727, 1996, 3979, 2457, 2008, 2002, 2106, 2025, 3305, 1996, 5571, 2138, 2002, 3764, 3009, 2738, 2084, 2394, 1998, 2008, 2002, 2001, 25227, 2000, 25803, 5905, 2011, 2010, 2048, 16214, 1012, 1996, 3979, 2457, 3024, 2019, 19555, 2005, 9964, 2121, 12791, 2076, 2035, 12335, 1997, 1996, 2457, 8931, 1012, 9964, 2121, 12791, 3555, 2008, 2010, 3979, 9517, 2409, 2032, 2000, 25803, 5905, 2138, 1037, 6467, 2052, 20462, 2032, 2241, 2006, 1996, 3350, 1998, 1996, 2069, 2126, 2002, 2071, 4468, 1996, 2331, 6531, 2052, 2022, 2000, 13676, 1037, 14865, 3820, 1012, 9964, 2121, 12791, 4914, 2008, 2002, 2001, 2583, 2000, 9131, 1523, 2070, 1524, 1997, 1996, 3350, 2008, 3979, 9517, 2409, 2032, 2052, 2022, 3107, 2012, 3979, 1012, 9964, 2121, 12791, 10865, 2008, 1996, 16214, 2106, 2025, 2175, 2058, 1523, 2035, 1524, 1996, 3350, 1998, 2106, 2025, 2391, 2041, 2151, 3350, 2008, 2052, 2022, 11119, 2000, 1996, 3639, 2012, 3979, 1012, 2101, 1010, 9964, 2121, 12791, 4914, 2008, 9517, 2018, 6936, 1996, 8866, 1997, 1996, 2553, 2007, 2032, 2006, 1037, 2193, 1997, 6642, 1010, 2130, 4760, 2032, 1037, 5421, 2544, 1997, 2010, 2678, 2696, 5669, 4861, 1012, 2279, 1010, 9964, 2121, 12791, 3555, 2008, 2002, 2106, 2025, 3305, 1996, 14865, 3820, 2030, 4994, 1012, 2002, 4914, 2008, 2028, 1997, 2010, 3979, 9517, 2018, 2908, 2058, 1996, 14865, 3820, 2007, 2032, 2021, 10865, 2008, 1996, 3820, 2001, 1999, 2394, 1998, 2053, 19555, 2001, 2556, 2012, 1996, 2051, 1012, 2101, 2006, 2076, 1996, 4994, 1010, 9964, 2121, 12791, 3530, 2008, 2119, 3979, 9517, 2777, 2007, 2032, 2012, 1996, 7173, 1998, 2253, 2058, 1996, 14865, 3820, 2096, 1037, 3009, 19555, 2001, 2556, 1012, 2429, 2000, 2032, 1010, 1996, 19555, 2187, 2077, 2002, 2772, 1996, 3820, 1012, 9964, 2121, 12791, 4914, 2008, 2130, 2295, 1996, 3820, 2001, 1999, 2394, 1010, 1015, 1996, 22137, 1997, 1996, 24265, 2114, 19469, 14255, 3672, 2884, 2003, 10599, 2013, 1996, 2501, 2006, 5574, 1012, 1011, 1016, 1011, 2002, 5319, 1996, 8417, 1997, 1996, 3066, 3188, 2000, 6608, 2009, 1012, 2002, 3555, 2008, 1996, 19555, 2106, 2025, 2425, 2032, 2054, 2001, 4838, 1999, 1996, 6254, 1012, 9964, 2121, 12791, 2036, 4914, 2008, 2002, 2018, 2042, 1999, 2457, 1999, 2047, 2259, 1998, 2018, 3130, 3133, 1037, 5905, 14865, 1999, 1037, 20934, 10623, 28221, 2553, 1012, 9964, 2121, 12791, 7383, 1996, 4751, 1997, 1996, 14865, 4994, 1010, 2164, 1996, 14865, 8902, 4135, 28940, 2100, 1999, 2029, 1996, 3979, 2457, 2356, 3980, 2055, 2010, 2916, 1012, 9964, 2121, 12791, 3555, 2008, 2002, 2001, 2025, 4129, 1996, 3606, 2043, 1996, 3979, 2457, 2356, 2065, 2002, 2359, 2000, 4607, 1996, 14865, 1012, 2002, 2106, 2025, 3437, 19762, 2000, 2151, 1997, 1996, 3979, 2457, 1521, 1055, 3980, 2138, 1010, 2429, 2000, 9964, 2121, 12791, 1010, 2010, 3979, 9517, 2409, 2032, 2000, 3437, 1523, 2748, 1524, 2000, 2035, 1997, 1996, 3648, 1521, 1055, 3980, 1012, 9964, 2121, 12791, 8969, 2008, 2002, 5228, 2010, 4824, 1997, 1996, 3820, 2076, 1996, 14865, 4994, 1010, 2164, 1996, 2112, 1999, 2029, 2002, 5319, 2008, 2010, 6251, 2052, 2022, 1996, 2168, 2004, 9964, 2121, 3972, 6305, 6820, 2480, 1012, 2582, 1010, 9964, 2121, 2001, 1999, 2457, 2043, 9964, 2121, 3972, 6305, 6820, 2480, 2772, 2010, 9964, 1010, 2061, 2002, 2018, 2525, 2657, 1996, 3820, 5421, 2046, 3009, 2077, 1996, 4443, 1997, 2010, 14865, 1012, 2599, 3979, 9517, 2005, 9964, 2121, 12791, 14914, 2008, 2002, 6936, 3979, 5656, 2007, 9964, 2121, 1010, 2164, 1996, 3768, 1997, 1523, 2204, 8866, 1524, 1998, 1996, 20889, 1997, 1523, 2919, 8866, 2008, 2057, 2020, 2183, 2000, 2031, 2000, 2593, 8568, 2030, 2000, 4863, 2185, 1010, 2029, 1031, 2001, 1033, 2183, 2000, 2022, 3697, 2000, 2079, 1524, 2012, 3979, 1012, 3979, 9517, 4541, 2000, 1996, 3979, 2457, 2008, 2045, 2020, 8866, 2008, 2071, 2022, 2109, 1999, 10210, 13340, 3508, 2076, 1996, 23280, 4403, 1997, 3979, 2021, 2052, 2022, 29172, 2076, 1996, 8056, 4403, 1997, 3979, 1012, 2599, 3979, 9517, 4914, 2008, 2019, 19555, 2001, 2025, 2467, 2556, 2076, 2037, 6295, 2007, 9964, 2121, 12791, 1012, 3979, 9517, 2106, 2025, 2514, 2008, 4807, 2001, 2019, 3277, 2007, 7634, 2000, 3722, 2592, 2055, 1996, 2553, 1012, 3979, 9517, 2036, 4914, 2008, 2019, 19555, 2001, 2025, 2556, 2043, 9964, 2121, 2772, 1996, 3820, 2021, 2008, 2019, 19555, 2253, 2058, 1996, 3820, 2007, 9964, 2121, 12791, 1012, 2429, 2000, 3979, 9517, 1010, 9964, 2121, 12791, 2196, 2790, 2000, 2031, 17829, 2055, 2635, 1996, 14865, 3820, 1012, 1996, 3247, 2001, 2187, 2039, 2000, 9964, 2121, 1998, 2002, 4900, 2000, 5138, 1996, 14865, 1012, 9964, 2121, 3972, 6305, 6820, 2480, 9964, 2121, 3972, 6305, 6820, 2480, 2036, 14914, 2012, 1996, 2695, 1011, 10652, 4994, 1012, 2002, 7383, 3116, 2007, 2010, 2048, 16214, 2004, 2092, 2004, 1996, 14766, 1998, 19555, 2015, 2006, 1996, 2154, 3188, 2000, 1996, 14865, 1012, 1999, 2010, 2616, 1010, 2027, 1523, 4541, 2035, 1996, 3350, 2008, 1031, 1996, 2110, 1033, 2018, 2114, 2033, 1998, 2008, 1521, 1055, 2043, 2027, 2409, 2033, 2008, 1045, 2106, 2025, 2031, 2204, 4013, 3676, 14680, 2030, 2008, 1045, 2001, 2025, 3497, 2000, 2022, 3144, 1012, 1524, 9964, 2121, 3972, 6305, 6820, 2480, 2018, 2357, 2091, 1037, 3188, 14865, 3749, 2138, 2002, 3555, 2008, 2002, 2001, 2025, 5905, 1012, 2012, 2023, 3116, 1010, 9964, 2121, 2371, 2008, 2002, 2018, 1523, 2053, 5724, 1524, 2130, 2295, 2002, 2106, 2025, 2215, 2000, 2202, 1996, 14865, 3820, 1012, 9964, 2121, 3972, 6305, 6820, 2480, 2001, 6427, 2008, 2002, 2052, 2022, 2179, 5905, 2065, 2002, 2253, 2000, 3979, 1012, 1996, 14766, 2409, 2032, 1523, 1031, 1056, 1033, 6045, 2065, 2057, 2253, 2000, 3979, 2008, 1045, 2052, 2022, 2179, 5905, 1998, 2065, 1045, 2134, 1521, 1056, 2131, 1996, 2331, 6531, 2027, 2052, 2507, 2033, 1037, 2843, 2062, 2051, 2084, 2054, 2001, 2108, 3253, 1012, 1524, 1011, 1017, 1011, 9964, 2121, 3972, 6305, 6820, 2480, 3555, 2008, 2006, 1996, 2154, 3188, 2000, 1996, 14865, 3820, 1996, 19555, 2187, 3188, 2000, 2010, 4905, 1521, 1055, 5508, 1012, 1016, 2002, 7278, 2008, 2002, 2106, 2025, 6848, 1996, 14865, 3820, 2007, 1996, 19555, 1012, 2043, 1996, 16214, 3369, 1010, 2027, 2106, 2025, 6848, 1996, 14865, 3820, 1010, 1998, 9964, 2121, 3972, 6305, 6820, 2480, 2772, 2009, 2130, 2295, 2002, 2106, 2025, 3305, 2068, 2030, 1996, 3820, 1012, 1999, 2755, 1010, 9964, 2121, 3972, 6305, 6820, 2480, 6727, 1996, 2695, 1011, 10652, 2457, 2008, 2010, 16214, 4716, 2032, 1523, 2116, 2335, 1524, 2302, 2019, 19555, 1998, 2008, 2002, 2071, 2025, 3305, 2068, 2138, 2002, 2106, 2025, 3713, 2394, 1012, 9964, 2121, 3972, 6305, 6820, 2480, 2371, 2008, 2002, 2018, 1523, 2053, 3382, 1997, 3112, 1524, 2061, 2002, 3133, 1996, 14865, 2130, 2295, 2002, 2106, 2025, 3305, 2151, 2394, 1012, 9964, 2121, 3972, 6305, 6820, 2480, 7383, 1996, 2154, 1997, 1996, 14865, 4994, 1012, 2002, 14914, 2012, 1996, 4994, 2008, 2002, 2018, 2196, 2042, 6727, 2008, 2002, 2018, 1037, 2157, 2000, 2175, 2000, 3979, 1012, 2174, 1010, 2588, 2582, 11242, 1010, 9964, 2121, 3972, 6305, 6820, 2480, 6727, 1996, 2695, 1011, 10652, 2457, 2008, 2002, 2018, 2042, 2409, 2011, 2010, 16214, 2008, 2002, 2071, 2031, 1037, 3979, 2021, 2008, 1996, 6467, 2052, 2025, 1523, 2903, 1524, 2032, 1998, 2052, 2424, 2114, 2032, 2130, 2295, 2002, 2001, 1523, 2025, 5905, 1997, 1996, 4126, 1012, 1524, 9964, 2121, 3972, 6305, 6820, 2480, 3555, 2008, 2028, 1997, 2010, 3979, 9517, 2409, 2032, 2008, 2002, 2052, 2025, 2022, 7936, 2000, 19919, 2012, 3979, 1012, 2066, 9964, 2121, 12791, 1010, 9964, 2121, 3972, 6305, 6820, 2480, 4914, 2012, 1996, 2695, 1011, 10652, 4994, 2008, 2002, 2018, 2042, 2000, 2457, 1999, 2047, 2259, 1998, 2018, 20228, 2098, 5905, 1523, 2048, 2030, 2093, 2335, 1524, 1999, 1996, 2627, 1012, 2004, 2005, 1996, 14865, 4994, 2012, 3277, 2182, 2378, 1010, 9964, 2121, 3972, 6305, 6820, 2480, 4914, 2008, 2002, 5228, 2010, 4824, 1997, 1996, 14865, 2000, 1996, 3979, 2457, 2021, 3555, 2008, 2002, 1523, 2134, 1521, 1056, 2031, 2151, 3601, 2021, 2000, 2360, 2748, 1524, 1998, 2018, 1523, 2053, 3601, 2021, 2000, 3696, 1031, 2009, 1033, 1012, 1524, 1999, 2755, 1010, 2002, 3090, 2008, 2002, 1523, 2371, 2066, 1031, 2002, 1033, 2001, 5881, 2090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 1008, 9385, 9733, 1012, 4012, 1010, 4297, 1012, 2030, 2049, 18460, 1012, 2035, 2916, 9235, 1012, 1008, 23772, 2595, 1011, 6105, 1011, 8909, 4765, 18095, 1024, 15895, 1011, 1016, 1012, 1014, 1012, 1008, 1013, 1001, 10975, 8490, 2863, 2320, 1001, 2421, 1026, 22091, 2015, 1013, 25238, 1013, 25238, 1035, 14338, 1012, 1044, 1028, 1001, 2421, 1026, 22091, 2015, 1013, 25238, 1013, 25238, 2890, 15500, 1012, 1044, 1028, 1001, 2421, 1026, 22091, 2015, 1013, 4563, 1013, 21183, 12146, 1013, 3638, 1013, 2358, 2140, 1013, 22091, 4757, 18886, 3070, 1012, 1044, 1028, 1001, 2421, 1026, 22091, 2015, 1013, 4563, 1013, 21183, 12146, 1013, 3638, 1013, 2358, 2140, 1013, 22091, 2015, 3726, 16761, 1012, 1044, 1028, 1001, 2421, 1026, 22091, 2015, 1013, 25238, 1013, 2944, 1013, 16475, 10497, 8400, 7874, 20389, 29521, 19848, 3111, 1012, 1044, 1028, 1001, 2421, 1026, 22091, 2015, 1013, 4563, 1013, 21183, 12146, 1013, 3638, 1013, 2358, 2140, 1013, 22091, 26212, 2361, 1012, 1044, 1028, 1001, 2421, 1026, 9710, 1028, 3415, 15327, 22091, 2015, 1063, 3415, 15327, 25238, 1063, 3415, 15327, 2944, 1063, 1013, 1008, 1008, 1008, 1013, 2465, 22091, 2015, 1035, 25238, 1035, 17928, 7172, 18697, 4859, 8400, 2890, 15500, 1024, 2270, 25238, 2890, 15500, 1063, 2270, 1024, 7172, 18697, 4859, 8400, 2890, 15500, 1006, 1007, 1025, 1013, 1013, 2326, 5227, 2171, 2003, 1996, 3169, 2171, 2029, 2097, 4604, 2023, 5227, 2041, 1010, 1013, 1013, 2169, 3169, 2323, 2038, 4310, 5227, 2171, 1010, 2061, 2008, 2057, 2064, 2131, 3169, 1005, 1055, 2171, 2013, 2023, 5227, 1012, 1013, 1013, 3602, 1024, 2023, 2003, 2025, 2995, 2005, 3433, 1010, 3674, 3136, 2089, 2031, 1996, 2168, 3433, 2171, 1010, 1013, 1013, 2061, 2057, 2064, 2025, 2131, 3169, 1005, 1055, 2171, 2013, 3433, 1012, 23881, 7484, 9530, 3367, 25869, 1008, 4152, 2121, 7903, 7869, 15500, 18442, 1006, 1007, 9530, 3367, 2058, 15637, 1063, 2709, 1000, 7172, 18697, 4859, 8400, 1000, 1025, 1065, 22091, 2015, 1024, 1024, 5164, 7642, 4697, 4502, 8516, 10441, 2094, 1006, 1007, 9530, 3367, 2058, 15637, 1025, 22091, 2015, 1024, 1024, 8299, 1024, 1024, 20346, 10175, 5657, 26895, 18491, 2131, 2890, 15500, 13102, 8586, 18513, 4974, 2545, 1006, 1007, 9530, 3367, 2058, 15637, 1025, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 9530, 3367, 22091, 2015, 1024, 1024, 5164, 1004, 2131, 10497, 8400, 18442, 1006, 1007, 9530, 3367, 1063, 2709, 1049, 1035, 2203, 8400, 18442, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 22017, 2140, 2203, 8400, 18442, 14949, 11306, 12325, 2102, 1006, 1007, 9530, 3367, 1063, 2709, 1049, 1035, 2203, 8400, 18442, 14949, 11306, 12325, 2102, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 10497, 8400, 18442, 1006, 9530, 3367, 22091, 2015, 1024, 1024, 5164, 1004, 3643, 1007, 1063, 1049, 1035, 2203, 8400, 18442, 14949, 11306, 12325, 2102, 1027, 2995, 1025, 1049, 1035, 2203, 8400, 18442, 1027, 3643, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 10497, 8400, 18442, 1006, 22091, 2015, 1024, 1024, 5164, 1004, 1004, 3643, 1007, 1063, 1049, 1035, 2203, 8400, 18442, 14949, 11306, 12325, 2102, 1027, 2995, 1025, 1049, 1035, 2203, 8400, 18442, 1027, 2358, 2094, 1024, 1024, 2693, 1006, 3643, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 10497, 8400, 18442, 1006, 9530, 3367, 25869, 1008, 3643, 1007, 1063, 1049, 1035, 2203, 8400, 18442, 14949, 11306, 12325, 2102, 1027, 2995, 1025, 1049, 1035, 2203, 8400, 18442, 1012, 23911, 1006, 3643, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 10497, 8400, 18442, 1006, 9530, 3367, 22091, 2015, 1024, 1024, 5164, 1004, 3643, 1007, 1063, 2275, 10497, 8400, 18442, 1006, 3643, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 10497, 8400, 18442, 1006, 22091, 2015, 1024, 1024, 5164, 1004, 1004, 3643, 1007, 1063, 2275, 10497, 8400, 18442, 1006, 2358, 2094, 1024, 1024, 2693, 1006, 3643, 1007, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2171, 1997, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2022, 7172, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 10497, 8400, 18442, 1006, 9530, 3367, 25869, 1008, 3643, 1007, 1063, 2275, 10497, 8400, 18442, 1006, 3643, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 9530, 3367, 22091, 2015, 1024, 1024, 5164, 1004, 2131, 14289, 16558, 6799, 3240, 1006, 1007, 9530, 3367, 1063, 2709, 1049, 1035, 2270, 14839, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 22017, 2140, 2270, 14839, 14949, 11306, 12325, 2102, 1006, 1007, 9530, 3367, 1063, 2709, 1049, 1035, 2270, 14839, 14949, 11306, 12325, 2102, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 14289, 16558, 6799, 3240, 1006, 9530, 3367, 22091, 2015, 1024, 1024, 5164, 1004, 3643, 1007, 1063, 1049, 1035, 2270, 14839, 14949, 11306, 12325, 2102, 1027, 2995, 1025, 1049, 1035, 2270, 14839, 1027, 3643, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 14289, 16558, 6799, 3240, 1006, 22091, 2015, 1024, 1024, 5164, 1004, 1004, 3643, 1007, 1063, 1049, 1035, 2270, 14839, 14949, 11306, 12325, 2102, 1027, 2995, 1025, 1049, 1035, 2270, 14839, 1027, 2358, 2094, 1024, 1024, 2693, 1006, 3643, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 14289, 16558, 6799, 3240, 1006, 9530, 3367, 25869, 1008, 3643, 1007, 1063, 1049, 1035, 2270, 14839, 14949, 11306, 12325, 2102, 1027, 2995, 1025, 1049, 1035, 2270, 14839, 1012, 23911, 1006, 3643, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 14289, 16558, 6799, 3240, 1006, 9530, 3367, 22091, 2015, 1024, 1024, 5164, 1004, 3643, 1007, 1063, 2275, 14289, 16558, 6799, 3240, 1006, 3643, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 14289, 16558, 6799, 3240, 1006, 22091, 2015, 1024, 1024, 5164, 1004, 1004, 3643, 1007, 1063, 2275, 14289, 16558, 6799, 3240, 1006, 2358, 2094, 1024, 1024, 2693, 1006, 3643, 1007, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2270, 3145, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 14289, 16558, 6799, 3240, 1006, 9530, 3367, 25869, 1008, 3643, 1007, 1063, 2275, 14289, 16558, 6799, 3240, 1006, 3643, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 9530, 3367, 22091, 2015, 1024, 1024, 9207, 1026, 22091, 2015, 1024, 1024, 5164, 1028, 1004, 2131, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 1007, 9530, 3367, 1063, 2709, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 2015, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 22017, 2140, 5587, 14289, 16558, 6799, 3240, 7377, 19022, 12129, 13462, 1006, 1007, 9530, 3367, 1063, 2709, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 7377, 19022, 12129, 13462, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 9530, 3367, 22091, 2015, 1024, 1024, 9207, 1026, 22091, 2015, 1024, 1024, 5164, 1028, 1004, 3643, 1007, 1063, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 7377, 19022, 12129, 13462, 1027, 2995, 1025, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 2015, 1027, 3643, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 11675, 2275, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 22091, 2015, 1024, 1024, 9207, 1026, 22091, 2015, 1024, 1024, 5164, 1028, 1004, 1004, 3643, 1007, 1063, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 7377, 19022, 12129, 13462, 1027, 2995, 1025, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 2015, 1027, 2358, 2094, 1024, 1024, 2693, 1006, 3643, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 9530, 3367, 22091, 2015, 1024, 1024, 9207, 1026, 22091, 2015, 1024, 1024, 5164, 1028, 1004, 3643, 1007, 1063, 2275, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 3643, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 2007, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 22091, 2015, 1024, 1024, 9207, 1026, 22091, 2015, 1024, 1024, 5164, 1028, 1004, 1004, 3643, 1007, 1063, 2275, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 2358, 2094, 1024, 1024, 2693, 1006, 3643, 1007, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013, 23881, 7172, 18697, 4859, 8400, 2890, 15500, 1004, 5587, 4215, 18927, 12083, 25230, 3240, 2015, 1006, 9530, 3367, 22091, 2015, 1024, 1024, 5164, 1004, 3643, 1007, 1063, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 7377, 19022, 12129, 13462, 1027, 2995, 1025, 1049, 1035, 5587, 14289, 16558, 6799, 3240, 2015, 1012, 5245, 1035, 2067, 1006, 3643, 1007, 1025, 2709, 1008, 2023, 1025, 1065, 1013, 1008, 1008, 1008, 1026, 1052, 1028, 1996, 2862, 1997, 2270, 6309, 2005, 1996, 1026, 3642, 1028, 16475, 10497, 8400, 1026, 1013, 3642, 1028, 2000, 2224, 1012, 1026, 1013, 1052, 1028, 1008, 1013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6583, 2615, 2591, 12183, 13545, 5657, 15960, 13545, 5657, 1999, 14380, 19673, 22953, 2705, 7906, 1996, 22953, 2705, 13545, 5657, 1521, 1055, 2047, 1998, 5875, 999, 1996, 6209, 2161, 2003, 1037, 2051, 2000, 3857, 9879, 5758, 2007, 2155, 1998, 2814, 1012, 2009, 4473, 2017, 2000, 28667, 18256, 6593, 2007, 2216, 2017, 2123, 1521, 1056, 2156, 2030, 3713, 2000, 2200, 2411, 1010, 1998, 3957, 1996, 4495, 2000, 3443, 2047, 7443, 2007, 2216, 2017, 2293, 1012, 15960, 13545, 5657, 1999, 14380, 19673, 22953, 2705, 2057, 2031, 2195, 4234, 7443, 1999, 2256, 2188, 2057, 5387, 1999, 2296, 2285, 1998, 1037, 2261, 1997, 2122, 2421, 3098, 2047, 1052, 2100, 3900, 9335, 2006, 4234, 6574, 1010, 1998, 10060, 2125, 2285, 2420, 2006, 2019, 13896, 8094, 1012, 2122, 2024, 1996, 5312, 2057, 4287, 2007, 2149, 1010, 2025, 1996, 9604, 2057, 4374, 1010, 1998, 2009, 1521, 1055, 2122, 2569, 2335, 2057, 2066, 2000, 8339, 2588, 2007, 2256, 2219, 2155, 2096, 2057, 3443, 2047, 5758, 1012, 2004, 2336, 2057, 2106, 2025, 2031, 2155, 2485, 2011, 1010, 2061, 4234, 1521, 1055, 2020, 2985, 2007, 2814, 1012, 2045, 2052, 2022, 4234, 2189, 1998, 4823, 1010, 1037, 3151, 4977, 4596, 3143, 2007, 4234, 9850, 1010, 1998, 7167, 1997, 7239, 1012, 2004, 6001, 2007, 2256, 2219, 2945, 2057, 2036, 5247, 4234, 2007, 2814, 2144, 2256, 2155, 2003, 2025, 2379, 2011, 1012, 15960, 13545, 5657, 1999, 14380, 19673, 22953, 2705, 2028, 1997, 2256, 6209, 7443, 2003, 2000, 13545, 5657, 2007, 2814, 4234, 6574, 1012, 2065, 2057, 2031, 2051, 2057, 2036, 13545, 5657, 2006, 2047, 2095, 1521, 1055, 6574, 1012, 1996, 4234, 6574, 13545, 5657, 1011, 24326, 25036, 3944, 4269, 2007, 1037, 7215, 1997, 2814, 2012, 1996, 2782, 1997, 4597, 2012, 11078, 2380, 1010, 2005, 1037, 17677, 2083, 1996, 4234, 4597, 1998, 2070, 22889, 22367, 2075, 2127, 2009, 4152, 2205, 3147, 1012, 2044, 2019, 3178, 2030, 2048, 2012, 1996, 2380, 1010, 2057, 2132, 2067, 2000, 1996, 2160, 2000, 7374, 2005, 2256, 8962, 7630, 3600, 13545, 5657, 3944, 1012, 2296, 2155, 19299, 1999, 5026, 2833, 1998, 21705, 1012, 2023, 22953, 2705, 13545, 5657, 2064, 2022, 4810, 1999, 5083, 1998, 2128, 20192, 3064, 2043, 2009, 1521, 1055, 2051, 2000, 4521, 1012, 1999, 2804, 2045, 2024, 2195, 8808, 13545, 15808, 2006, 1996, 2795, 1010, 2066, 1037, 4438, 5364, 13545, 5657, 1012, 1998, 1037, 3722, 7967, 13545, 5657, 1012, 13545, 5657, 2003, 2019, 10990, 2126, 2000, 2131, 2155, 1998, 2814, 2362, 2105, 1996, 2795, 1010, 1998, 17820, 2070, 2307, 11450, 2096, 2383, 4569, 2007, 2115, 2833, 1012, 2182, 2003, 2028, 1997, 2195, 22953, 2705, 13545, 15808, 2057, 5959, 2076, 1996, 2161, 1010, 15960, 13545, 5657, 1999, 14380, 19673, 22953, 2705, 1012, 13184, 2187, 7840, 12981, 2125, 22953, 2705, 1998, 2224, 2101, 2028, 1999, 11350, 2015, 1998, 20717, 2015, 1012, 19380, 1024, 2023, 2695, 2001, 6485, 2011, 1996, 11153, 1997, 23564, 12380, 2278, 29656, 1010, 2021, 1996, 10740, 5228, 2024, 2026, 2219, 1012, 1996, 2088, 1997, 13545, 5657, 2003, 1037, 4569, 2028, 1012, 2007, 2061, 2116, 9903, 1997, 13545, 5657, 2000, 2112, 13808, 1999, 1010, 2017, 2071, 4521, 13545, 5657, 2296, 2305, 1998, 2196, 2131, 11471, 1012, 2023, 2214, 18178, 25062, 2099, 8808, 1004, 11611, 13545, 5657, 2003, 2028, 1997, 2256, 28271, 1998, 3397, 2019, 21774, 2008, 20096, 2087, 2111, 999, 2214, 18178, 25062, 2099, 8808, 1998, 11611, 13545, 5657, 1037, 8837, 1999, 2023, 2160, 1010, 2023, 13545, 5657, 2003, 8209, 2007, 2214, 18178, 25062, 2099, 8808, 1998, 11611, 1012, 2009, 1521, 1055, 4469, 4569, 2138, 2009, 1521, 1055, 2467, 1037, 2645, 2012, 1996, 2203, 2000, 3869, 2041, 1996, 2197, 4109, 1997, 11611, 1998, 14599, 2045, 2031, 2196, 2042, 2151, 28102, 6447, 2076, 2645, 11611, 1010, 2664, 1012, 2060, 8837, 8808, 13545, 15808, 1997, 14635, 1029, 2028, 2007, 5404, 1998, 1997, 2607, 1996, 4438, 5364, 13545, 5657, 1012, 1996, 4474, 21774, 1045, 14964, 3041, 1010, 2009, 1521, 1055, 14768, 6949, 1012, 2017, 2097, 2022, 4527, 2043, 2017, 5510, 2023, 13545, 5657, 1010, 2017, 2097, 2025, 2130, 2113, 2045, 2003, 14768, 6949, 1999, 2009, 1012, 14768, 6949, 9909, 1037, 9374, 1997, 16985, 2102, 2000, 1996, 13545, 5657, 1998, 20736, 1996, 2342, 2005, 2151, 3176, 5648, 1012, 4606, 2009, 1521, 1055, 1037, 3019, 4317, 24454, 1012, 2214, 18178, 25062, 2099, 8808, 1004, 11611, 13545, 5657, 2043, 2057, 13545, 5657, 2057, 2066, 2000, 2031, 2048, 2030, 2062, 13545, 15808, 2006, 1996, 2795, 1012, 1037, 8808, 13545, 5657, 8386, 1998, 1037, 6240, 1999, 22953, 2705, 13545, 5657, 1012, 1996, 4268, 2024, 3254, 2746, 2461, 2000, 8808, 13545, 5657, 1010, 2031, 2467, 3866, 1996, 22953, 2705, 3924, 1998, 5227, 7967, 13545, 5657, 5570, 1012, 2009, 1521, 1055, 2941, 1037, 4569, 2126, 2000, 3612, 2039, 2030, 2091, 1037, 5798, 2283, 7215, 1012, 2144, 2057, 5959, 13545, 5657, 2075, 1010, 2057, 3046, 2047, 8358, 2035, 1996, 2051, 1012, 2070, 2191, 1996, 3013, 1010, 2070, 2025, 2061, 2172, 1010, 2174, 2009, 1521, 1055, 5791, 1037, 4569, 3944, 2000, 2031, 2007, 2155, 2030, 2814, 999, 2065, 2017, 3046, 2256, 2214, 18178, 25062, 2099, 8808, 1004, 11611, 13545, 5657, 2292, 2149, 2113, 2054, 2017, 2228, 1999, 1996, 7928, 2917, 999, 1037, 7967, 13545, 5657, 2008, 2003, 3722, 2000, 2191, 1010, 3733, 2000, 4521, 1998, 2097, 2681, 2115, 6368, 2061, 7622, 2027, 2215, 2000, 4965, 2037, 2219, 13545, 5657, 8962, 999, 7967, 13545, 5657, 2256, 7967, 13545, 5657, 17974, 2003, 2028, 1045, 2031, 2081, 2061, 2116, 2335, 2009, 1521, 1055, 5091, 20451, 1999, 2026, 4167, 1012, 2004, 2146, 2004, 1045, 2031, 1037, 5372, 13545, 5657, 8962, 1010, 1998, 3229, 2000, 12760, 1010, 1045, 2064, 2191, 2009, 5973, 1012, 2823, 2057, 2191, 2009, 2007, 22017, 4371, 1010, 2823, 2057, 2123, 1521, 1056, 1012, 1996, 6544, 2515, 5587, 1037, 7263, 9374, 1997, 28126, 5834, 2006, 2029, 2785, 2017, 2224, 1012, 2168, 2007, 11867, 6657, 19099, 2015, 1010, 2823, 2057, 2224, 2068, 1010, 2823, 2057, 2123, 1521, 1056, 1012, 2008, 2003, 1996, 2307, 2518, 2055, 2023, 13545, 5657, 1010, 2017, 2064, 2689, 2009, 2039, 2412, 2061, 3621, 2169, 2051, 1998, 1996, 11867, 6657, 19099, 2015, 2024, 2428, 2005, 1996, 4268, 1012, 1996, 13545, 5657, 8962, 2009, 1521, 1055, 2590, 2000, 2224, 1996, 6149, 8962, 2043, 2437, 1037, 7967, 2030, 18064, 13545, 5657, 1012, 2122, 18911, 2024, 2881, 4919, 2005, 18064, 2015, 1998, 4050, 2272, 1999, 3011, 2368, 8059, 1010, 14692, 1010, 17767, 2030, 2130, 22148, 3221, 2021, 2057, 2994, 2185, 2013, 3221, 1012, 2027, 2097, 2022, 3760, 1998, 2037, 3684, 4216, 2024, 13541, 2030, 21500, 4762, 6402, 2121, 2000, 2562, 1996, 7967, 4010, 2302, 2058, 10808, 1012, 7967, 13545, 5657, 7967, 13545, 5657, 16510, 7347, 16510, 7347, 2005, 1037, 7967, 13545, 5657, 2024, 1996, 4569, 5267, 2102, 12760, 2000, 7374, 1998, 7099, 2096, 8225, 999, 2182, 1521, 1055, 1037, 2261, 16510, 7347, 2057, 2031, 2699, 2058, 1996, 2086, 2035, 15920, 1999, 2000, 6805, 2946, 4109, 2073, 12711, 1012, 1996, 2034, 2051, 1045, 2018, 2019, 14469, 4438, 5364, 13545, 5657, 2001, 1999, 19913, 12119, 1010, 5288, 2012, 1996, 2358, 18727, 18690, 2121, 4825, 2076, 2256, 2647, 10885, 2067, 1999, 1996, 17233, 1012, 5364, 13545, 5657, 2028, 2071, 2360, 1045, 3243, 5632, 1996, 5510, 1997, 1037, 4438, 5364, 13545, 5657, 1012, 2057, 2036, 2165, 1999, 1037, 13104, 2265, 2096, 9107, 2256, 13545, 5657, 1999, 5288, 1010, 1998, 2106, 2070, 10930, 9247, 2075, 2029, 1045, 3478, 2012, 28616, 6906, 6321, 1012, 1999, 5288, 1045, 4342, 1996, 6177, 1997, 1037, 5364, 13545, 5657, 2024, 3722, 1025, 4511, 1010, 20548, 1010, 8808, 1010, 1006, 24665, 26230, 7869, 1998, 2745, 2425, 2632, 2361, 8808, 2030, 2019, 7861, 26901, 2121, 8808, 1007, 1998, 2823, 2077, 3529, 2027, 5587, 1037, 3543, 1997, 11382, 2869, 2818, 1012, 2144, 11382, 2869, 2818, 2003, 2019, 3734, 5510, 1010, 1045, 7166, 2000, 2681, 2009, 2041, 1012, 2043, 13545, 5657, 2150, 2502, 2067, 1999, 1996, 17549, 1010, 2111, 2404, 2037, 2219, 6714, 2006, 1037, 5364, 13545, 5657, 2145, 2478, 2122, 1996, 2168, 12760, 1012, 2070, 9544, 2000, 14548, 1996, 13545, 5657, 8962, 2007, 20548, 1010, 1045, 2156, 2053, 2391, 1999, 2023, 1012, 1999, 19913, 12119, 2027, 2404, 1996, 20548, 1999, 1996, 13545, 5657, 1998, 2681, 2009, 1012, 1045, 9544, 2025, 2000, 2031, 20548, 5742, 1999, 2026, 8808, 1012, 5364, 13545, 5657, 2007, 16510, 7347, 1045, 14704, 1996, 20548, 2046, 1037, 2261, 4109, 1998, 5587, 2009, 2000, 1996, 4511, 2000, 21934, 5017, 2005, 1037, 1015, 1011, 1016, 2781, 1012, 1996, 20548, 2003, 2059, 3718, 2013, 1996, 4511, 2077, 1996, 8808, 2003, 2794, 1012, 1996, 28126, 1997, 1996, 20548, 2003, 2187, 1999, 1996, 13545, 5657, 2302, 2151, 9017, 1012, 4661, 8808, 1998, 7967, 1010, 2045, 2024, 2048, 2060, 13545, 15808, 1045, 4342, 2055, 1999, 5288, 1025, 5413, 23565, 13545, 5657, 1006, 1037, 2822, 6240, 2357, 11350, 1007, 2030, 8945, 12514, 10179, 26977, 2638, 13545, 5657, 1006, 1037, 5364, 6240, 1999, 3514, 1007, 1012, 2349, 2000, 11867, 20051, 3334, 1010, 21755, 1998, 2060, 4436, 1010, 2057, 2994, 2185, 2013, 3514, 1998, 9544, 22953, 2705, 1006, 5413, 23565, 2806, 1007, 1012, 5364, 8808, 13545, 5657, 2004, 1999, 2060, 13545, 15808, 2057, 2079, 1010, 8808, 13545, 15808, 2272, 1999, 2116, 9903, 1012, 2065, 2017, 2293, 2000, 13545, 5657, 1998, 2215, 2000, 7818, 2115, 13545, 5657, 24484, 1010, 4638, 2041, 2256, 2214, 18178, 25062, 2099, 8808, 1004, 11611, 13545, 5657, 1012, 2106, 2017, 2113, 2008, 17088, 1999, 5288, 5271, 1037, 3653, 1011, 2081, 29022, 12586, 1997, 8808, 3201, 2000, 2175, 1029, 2023, 2003, 2349, 2000, 1996, 6217, 1997, 13545, 5657, 1999, 5288, 1012, 5959, 2023, 7965, 1998, 12090, 28774, 8717, 3211, 12486, 13545, 5657, 2007, 2035, 2115, 8837, 16510, 7347, 1998, 1037, 2261, 2017, 2089, 2025, 2031, 2245, 2055, 1012, 2023, 28774, 8717, 3211, 12486, 13545, 5657, 2003, 2028, 1997, 1996, 2034, 19328, 1045, 2412, 2794, 2000, 2026, 9927, 2067, 1999, 2294, 1012, 6429, 2129, 2051, 10029, 1012, 13545, 5657, 2038, 2042, 2105, 2005, 2092, 2058, 5595, 2086, 2004, 2009, 2001, 4121, 2067, 1999, 1996, 3359, 1521, 1055, 1998, 2144, 2059, 2009, 1521, 1055, 6217, 4247, 2000, 2272, 1998, 2175, 1012, 2021, 2009, 1521, 1055, 2196, 2908, 2185, 1012, 2026, 3008, 2196, 3079, 1037, 13545, 5657, 1010, 2021, 1045, 2245, 13721, 8808, 1999, 1037, 14744, 6090, 1998, 23427, 7852, 1999, 1996, 12501, 8808, 2001, 12656, 1012, 1045, 2288, 2026, 2034, 13545, 5657, 2043, 1045, 2333, 2000, 6930, 1006, 2960, 1007, 1998, 2026, 2878, 2088, 2150, 2172, 19366, 1006, 8808, 1998, 7852, 1010, 2342, 1045, 2360, 2062, 1007, 1012, 1045, 13545, 5657, 2094, 2802, 1996, 2901, 1521, 1055, 1998, 16611, 2020, 12192, 2800, 7249, 1012, 2777, 2026, 3129, 1998, 4342, 2855, 2002, 7459, 13545, 5657, 2205, 1012, 2061, 2057, 2921, 5815, 2000, 2256, 8051, 3074, 1998, 2667, 2047, 19328, 1012, 2085, 2057, 13545, 5657, 2004, 1037, 2155, 2004, 2009, 1521, 1055, 2107, 1037, 4569, 2126, 2000, 5247, 2019, 3944, 2007, 2814, 1010, 2155, 2030, 2130, 2074, 1996, 2176, 1997, 2149, 1012, 2307, 2833, 1010, 4392, 1998, 4512, 1012, 2057, 3262, 2079, 1037, 22953, 2705, 8386, 1010, 3232, 1997, 8808, 1998, 1037, 18064, 13545, 5657, 1012, 2057, 6524, 2412, 2079, 3514, 2004, 2057, 2424, 2009, 3727, 2019, 3514, 21755, 1999, 1996, 2160, 1010, 2006, 2256, 4253, 1998, 1999, 2256, 2606, 1012, 4606, 22953, 2705, 2003, 2062, 28126, 3993, 1010, 1037, 2740, 3771, 5724, 1010, 1998, 13726, 2065, 2115, 4268, 2024, 2402, 1012, 2057, 7374, 1037, 3528, 1997, 5167, 2005, 23427, 1012, 2007, 22953, 2705, 13545, 5657, 2017, 2064, 16510, 11968, 17020, 3336, 14629, 1010, 20482, 12984, 24165, 2030, 11565, 10698, 1010, 1996, 4268, 2066, 23427, 23827, 1998, 2130, 2070, 15415, 4109, 1006, 2053, 13325, 1007, 1012, 2005, 8808, 2057, 2448, 1996, 27534, 7485, 2182, 1998, 7374, 6187, 15859, 14156, 1010, 8217, 21734, 22953, 21408, 3669, 1010, 7852, 1010, 11937, 3597, 11772, 1010, 2019, 9140, 1997, 2310, 13871, 3111, 1010, 1998, 2062, 1012, 4606, 16335, 1996, 24165, 1010, 11565, 10698, 1998, 3336, 14629, 2005, 2062, 4569, 2006, 2115, 6293, 1012, 2023, 13545, 5657, 2003, 28126, 3993, 1998, 2000, 11598, 2009, 2130, 2062, 2057, 9985, 2618, 1996, 12486, 11585, 2029, 9909, 1996, 10166, 5387, 2000, 1996, 12486, 1012, 2320, 2057, 2024, 2736, 13545, 5657, 2075, 2057, 13184, 1996, 2187, 7840, 22953, 2705, 2005, 2101, 2224, 1999, 1037, 12486, 20717, 1010, 11350, 2030, 16220, 10624, 2571, 1997, 11901, 1012, 2157, 2085, 2057, 2024, 2046, 3751, 13545, 5657, 18911, 2005, 2256, 22953, 2705, 1998, 1996, 13545, 5657, 3514, 8962, 2005, 2256, 8808, 2030, 7967, 13545, 15808, 1012, 3751, 13545, 5657, 18911, 3499, 2149, 2000, 2488, 15176, 1996, 4860, 2005, 2256, 6240, 13545, 15808, 1012, 2467, 2031, 3176, 22953, 2705, 2006, 2192, 2004, 2009, 26929, 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, 7427, 1046, 4168, 2509, 22199, 1012, 9291, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 10439, 1012, 3722, 29098, 19341, 3508, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 10439, 1012, 2110, 1012, 12117, 12326, 29098, 9153, 2618, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 11412, 1012, 13354, 7076, 1012, 8299, 5831, 24759, 24755, 4263, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 11412, 1012, 13354, 7076, 1012, 14101, 4135, 11266, 2953, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7960, 1012, 7960, 29098, 9153, 2618, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7960, 1012, 12365, 1012, 10466, 1012, 18269, 26895, 19969, 7377, 5051, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7960, 1012, 12365, 1012, 10466, 1012, 4578, 3790, 26895, 19969, 7377, 5051, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7960, 1012, 2491, 1012, 2839, 8663, 13181, 2140, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7960, 1012, 2491, 1012, 11841, 23684, 8663, 13181, 2140, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7953, 1012, 3145, 2378, 18780, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7953, 1012, 8000, 2378, 18780, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7953, 1012, 7711, 1012, 2895, 9863, 24454, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7953, 1012, 7711, 1012, 3145, 18886, 13327, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 7953, 1012, 7711, 1012, 8000, 8569, 15474, 18886, 13327, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 3430, 1012, 3430, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 8785, 1012, 3609, 10623, 3676, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 8785, 1012, 24209, 24932, 27678, 2078, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 8785, 1012, 9207, 2509, 2546, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 9291, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 20248, 4328, 9737, 9331, 1012, 9291, 16523, 3593, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 20248, 4328, 9737, 9331, 1012, 9291, 16523, 3593, 9863, 24454, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 20248, 4328, 9737, 9331, 1012, 9291, 16523, 3593, 4135, 16409, 12162, 13153, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 20248, 4328, 9737, 9331, 1012, 9291, 4135, 16409, 12162, 13153, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 20248, 4328, 9737, 9331, 1012, 9291, 16211, 2094, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 20248, 4328, 9737, 9331, 1012, 8370, 1012, 11412, 15286, 11066, 2121, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 9291, 1012, 20248, 4328, 9737, 9331, 1012, 8840, 16409, 2389, 2278, 1012, 3292, 4135, 16409, 2389, 19879, 4263, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 14902, 1012, 14902, 1025, 12324, 4012, 1012, 1046, 4168, 2509, 1012, 14902, 1012, 14902, 1012, 10236, 5302, 3207, 1025, 12324, 9262, 1012, 22834, 1012, 5371, 1025, 2270, 2465, 9291, 16523, 3593, 15286, 11066, 8743, 4355, 8908, 3722, 29098, 19341, 3508, 1063, 2797, 3430, 13523, 1035, 9291, 1025, 2797, 9291, 16523, 3593, 9291, 1025, 2797, 14257, 5568, 15782, 2571, 1027, 4185, 1025, 2797, 14257, 6900, 15782, 2571, 1027, 2385, 1025, 2797, 14257, 5749, 9289, 2063, 1027, 11899, 1025, 2797, 22017, 20898, 2224, 15638, 1027, 2995, 1025, 2797, 22017, 20898, 5584, 4215, 5732, 1027, 6270, 1025, 2270, 10763, 11675, 2364, 1006, 2345, 5164, 1031, 1033, 12098, 5620, 1007, 1063, 9291, 16523, 3593, 15286, 11066, 8743, 4355, 10439, 1027, 2047, 9291, 16523, 3593, 15286, 11066, 8743, 4355, 1006, 1007, 1025, 10439, 1012, 2707, 1006, 1007, 1025, 1065, 2797, 2839, 8663, 13181, 2140, 2447, 2509, 1025, 1030, 2058, 15637, 2270, 11675, 3722, 5498, 2696, 9397, 1006, 1007, 1063, 5371, 5371, 1027, 2047, 5371, 1006, 1000, 9291, 16523, 3593, 22199, 2850, 2696, 1012, 14101, 1000, 1007, 1025, 2065, 1006, 999, 5371, 1012, 6526, 1006, 1007, 1007, 1063, 11412, 24805, 4590, 1012, 4236, 4135, 11266, 2953, 1006, 1000, 8299, 1024, 1013, 1013, 1046, 8202, 14839, 13159, 3170, 1012, 8224, 16044, 1012, 4012, 1013, 6764, 1013, 9291, 16523, 3593, 22199, 2850, 2696, 1012, 14101, 1000, 1010, 8299, 5831, 24759, 24755, 4263, 1012, 2465, 1007, 1025, 1065, 2842, 1063, 11412, 24805, 4590, 1012, 4236, 4135, 11266, 2953, 1006, 1000, 9291, 16523, 3593, 22199, 2850, 2696, 1012, 14101, 1000, 1010, 14101, 4135, 11266, 2953, 1012, 2465, 1007, 1025, 1065, 2023, 1012, 4875, 28727, 1012, 2275, 5302, 6961, 25599, 1006, 2531, 2546, 1007, 1025, 12117, 12326, 29098, 9153, 2618, 2110, 1027, 2047, 12117, 12326, 29098, 9153, 2618, 1006, 1007, 1025, 2023, 1012, 2110, 24805, 4590, 1012, 22476, 1006, 2110, 1007, 1025, 1013, 1013, 9291, 14902, 3430, 2023, 1012, 13523, 1035, 9291, 1027, 2047, 3430, 1006, 2023, 1012, 11412, 24805, 4590, 1010, 1000, 2691, 1013, 13523, 3207, 10343, 1013, 9291, 1013, 4578, 15058, 11927, 2121, 21166, 1012, 1046, 2509, 26876, 1000, 1007, 1025, 1013, 1013, 11709, 2000, 3430, 1024, 1013, 1013, 2555, 2595, 18717, 2863, 2361, 1024, 1060, 1027, 1015, 1012, 1012, 1018, 1996, 14902, 2008, 2323, 2022, 10439, 6632, 2094, 2000, 2110, 1060, 1013, 1013, 2555, 2595, 1024, 1037, 9207, 2509, 2546, 4820, 1996, 2206, 2592, 1024, 1013, 1013, 2555, 2595, 1012, 1060, 1024, 1996, 2707, 4578, 1997, 1996, 2555, 1013, 1013, 2555, 2595, 1012, 1061, 1024, 1996, 2203, 4578, 1997, 1996, 2555, 1013, 1013, 2555, 2595, 1012, 1062, 1024, 1996, 14902, 4094, 2005, 1996, 2555, 1013, 1013, 2009, 2453, 2025, 2022, 1996, 2087, 11552, 2126, 2005, 23977, 2122, 1017, 5300, 1010, 2021, 2009, 15173, 1996, 2951, 19957, 1024, 1007, 1013, 1013, 9663, 18717, 2863, 2361, 1024, 1996, 14902, 2000, 2022, 2109, 2005, 13333, 1010, 1998, 9561, 3137, 4573, 1013, 1013, 9663, 15286, 7011, 16761, 1024, 1996, 14902, 4094, 2005, 10314, 1013, 1013, 9291, 5332, 4371, 1024, 1996, 2561, 2946, 1997, 1996, 9291, 1006, 2109, 2005, 25169, 1996, 14902, 1007, 1013, 1013, 5568, 14902, 14902, 5568, 1027, 2023, 1012, 11412, 24805, 4590, 1012, 7170, 18209, 5397, 1006, 1000, 29343, 1013, 9291, 1013, 11867, 20051, 1013, 5568, 1012, 16545, 2290, 1000, 1007, 1025, 5568, 1012, 2275, 13088, 9331, 1006, 10236, 5302, 3207, 1012, 9377, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 18209, 5397, 1006, 1000, 2555, 2487, 18717, 2863, 2361, 1000, 1010, 5568, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 3726, 16761, 2509, 1006, 1000, 2555, 2487, 1000, 1010, 2047, 9207, 2509, 2546, 1006, 6070, 1010, 3263, 1010, 2023, 1012, 5568, 15782, 2571, 1007, 1007, 1025, 1013, 1013, 6900, 14902, 14902, 6900, 1027, 2023, 1012, 11412, 24805, 4590, 1012, 7170, 18209, 5397, 1006, 1000, 29343, 1013, 9291, 1013, 11867, 20051, 1013, 6900, 1012, 16545, 2290, 1000, 1007, 1025, 6900, 1012, 2275, 13088, 9331, 1006, 10236, 5302, 3207, 1012, 9377, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 18209, 5397, 1006, 1000, 2555, 2475, 18717, 2863, 2361, 1000, 1010, 6900, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 3726, 16761, 2509, 1006, 1000, 2555, 2475, 1000, 1010, 2047, 9207, 2509, 2546, 1006, 1014, 1010, 3938, 1010, 2023, 1012, 6900, 15782, 2571, 1007, 1007, 1025, 1013, 1013, 2600, 14902, 14902, 2600, 1027, 2023, 1012, 11412, 24805, 4590, 1012, 7170, 18209, 5397, 1006, 1000, 29343, 1013, 9291, 1013, 2600, 2475, 1013, 2600, 1012, 16545, 2290, 1000, 1007, 1025, 2600, 1012, 2275, 13088, 9331, 1006, 10236, 5302, 3207, 1012, 9377, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 18209, 5397, 1006, 1000, 2555, 2509, 18717, 2863, 2361, 1000, 1010, 2600, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 3726, 16761, 2509, 1006, 1000, 2555, 2509, 1000, 1010, 2047, 9207, 2509, 2546, 1006, 20003, 1010, 13539, 1010, 2023, 1012, 5749, 9289, 2063, 1007, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 18209, 5397, 1006, 1000, 2555, 2549, 18717, 2863, 2361, 1000, 1010, 2600, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 3726, 16761, 2509, 1006, 1000, 2555, 2549, 1000, 1010, 2047, 9207, 2509, 2546, 1006, 20003, 1010, 13539, 1010, 2023, 1012, 5749, 9289, 2063, 1007, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 18209, 5397, 1006, 1000, 9663, 18717, 2863, 2361, 1000, 1010, 2600, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 10258, 16503, 1006, 1000, 9663, 15286, 7011, 16761, 1000, 1010, 3590, 1007, 1025, 2023, 1012, 13523, 1035, 9291, 1012, 2275, 10258, 16503, 1006, 1000, 9291, 5332, 4371, 1000, 1010, 14378, 1007, 1025, 1013, 1013, 17718, 1012, 2131, 26036, 13900, 2863, 2361, 1006, 1007, 1010, 9291, 1012, 2131, 4135, 9289, 15782, 2571, 1006, 1007, 1007, 1010, 1014, 11412, 15286, 11066, 2121, 8370, 1027, 2047, 11412, 15286, 11066, 2121, 1006, 11412, 24805, 4590, 1010, 1000, 3231, 16523, 3593, 1000, 1010, 1000, 9291, 16523, 3593, 1000, 1007, 1025, 2023, 1012, 9291, 1027, 2047, 9291, 16523, 3593, 1006, 1000, 9291, 1000, 1010, 3515, 1010, 24368, 1010, 8370, 1007, 1025, 2023, 1012, 9291, 1012, 2275, 8585, 14482, 1006, 2023, 1012, 13523, 1035, 9291, 1007, 1025, 2023, 1012, 9291, 1012, 2275, 4135, 9289, 6494, 3619, 13490, 1006, 1014, 1010, 1014, 1010, 1014, 1007, 1025, 2023, 1012, 9291, 1012, 2275, 4135, 9289, 15782, 2571, 1006, 1016, 2546, 1010, 1015, 2546, 1010, 1016, 2546, 1007, 1025, 1013, 1013, 3046, 1063, 1013, 1013, 12441, 10288, 6442, 2121, 1012, 2131, 7076, 26897, 1006, 1007, 1012, 3828, 1006, 9291, 1010, 2047, 5371, 1006, 1000, 1013, 5198, 1013, 13373, 2368, 4819, 5054, 1013, 5491, 1013, 3642, 1013, 1046, 4168, 2509, 1013, 3194, 1013, 5034, 2278, 1013, 3231, 1011, 2951, 1013, 9291, 16523, 3593, 1013, 1000, 1013, 1013, 1009, 1000, 9291, 16523, 3593, 1012, 1046, 2509, 2080, 1000, 1007, 1007, 1025, 1013, 1013, 1065, 4608, 1006, 22834, 10288, 24422, 4654, 1007, 1063, 1013, 1013, 8833, 4590, 1012, 2131, 21197, 4590, 1006, 9291, 27843, 25572, 2140, 16523, 3593, 22199, 1012, 2465, 1012, 2131, 18442, 1006, 1007, 1007, 1012, 8833, 1006, 2504, 1012, 5729, 1010, 19701, 1010, 4654, 1007, 1025, 1013, 1013, 1065, 2023, 1012, 7117, 3630, 3207, 1012, 22476, 19339, 1006, 2023, 1012, 9291, 1007, 1025, 9291, 4135, 16409, 12162, 13153, 2491, 1027, 2047, 9291, 16523, 3593, 4135, 16409, 12162, 13153, 1006, 2023, 1012, 9291, 1010, 2131, 28727, 6906, 1006, 1007, 1007, 1025, 2491, 1012, 2275, 4135, 16409, 2389, 19879, 4263, 1006, 2047, 3292, 4135, 16409, 2389, 19879, 4263, 1006, 3515, 1010, 1016, 1012, 1021, 2546, 1007, 1007, 1025, 1013, 1013, 8983, 2946, 1010, 1998, 1037, 4800, 24759, 3771, 2023, 1012, 9291, 1012, 5587, 8663, 13181, 2140, 1006, 2491, 1007, 1025, 2345, 7960, 29098, 9153, 2618, 7960, 29098, 9153, 2618, 1027, 2047, 7960, 29098, 9153, 2618, 1006, 1007, 1025, 2110, 24805, 4590, 1012, 22476, 1006, 7960, 29098, 9153, 2618, 1007, 1025, 2023, 1012, 2131, 28727, 6906, 1006, 1007, 1012, 2275, 4135, 10719, 1006, 2047, 9207, 2509, 2546, 1006, 1014, 1010, 17273, 1010, 1014, 1007, 1007, 1025, 11503, 1012, 2275, 21709, 3370, 1006, 2047, 24209, 24932, 27678, 2078, 1006, 1011, 1014, 1012, 4002, 23352, 2546, 1010, 1014, 1012, 6365, 2683, 2581, 2620, 2549, 2546, 1010, 1011, 1014, 1012, 21036, 2546, 1010, 1011, 1014, 1012, 6185, 22907, 2546, 1007, 1007, 1025, 2023, 1012, 3193, 6442, 1012, 2275, 5963, 16365, 18717, 1006, 2047, 3609, 10623, 3676, 1006, 1014, 1012, 1021, 2546, 1010, 1014, 1012, 1022, 2546, 1010, 1015, 2546, 1010, 1015, 2546, 1007, 1007, 1025, 2065, 1006, 2224, 15638, 1007, 1063, 18269, 26895, 19969, 7377, 5051, 18269, 7377, 5051, 1027, 2047, 18269, 26895, 19969, 7377, 5051, 1006, 1014, 1012, 1019, 2546, 1010, 1015, 1012, 1022, 2546, 1010, 1015, 1007, 1025, 2447, 2509, 1027, 2047, 2839, 8663, 13181, 2140, 1006, 18269, 7377, 5051, 1010, 1014, 1012, 1019, 2546, 1007, 1025, 2447, 2509, 1012, 2275, 9103, 25370, 25599, 1006, 2322, 1007, 1025, 2447, 2509, 1012, 2275, 28067, 25599, 1006, 2184, 1007, 1025, 2447, 2509, 1012, 2275, 17643, 24872, 1006, 2184, 1007, 1025, 2447, 2509, 1012, 2275, 15638, 4135, 10719, 1006, 2047, 9207, 2509, 2546, 1006, 11503, 1012, 2131, 4135, 10719, 1006, 1007, 1012, 1060, 1010, 17273, 1010, 11503, 1012, 2131, 4135, 10719, 1006, 1007, 1012, 1062, 1007, 1007, 1025, 7960, 29098, 9153, 2618, 1012, 2131, 15638, 23058, 1006, 1007, 1012, 5587, 1006, 2447, 2509, 1007, 1025, 9291, 1012, 5587, 9863, 24454, 1006, 2047, 9291, 16523, 3593, 9863, 24454, 1006, 1007, 1063, 1030, 2058, 15637, 2270, 11675, 8370, 5302, 7178, 1006, 9207, 2509, 2546, 2047, 13013, 2121, 1007, 1063, 1065, 1030, 2058, 15637, 2270, 11675, 14090, 19321, 15395, 2094, 1006, 9207, 2509, 2546, 3526, 1010, 9291, 16211, 2094, 17718, 1007, 1063, 2096, 1006, 17718, 1012, 2131, 8663, 13181, 2140, 1006, 11841, 23684, 8663, 13181, 2140, 1012, 2465, 1007, 999, 1027, 19701, 1007, 1063, 17718, 1012, 6366, 8663, 13181, 2140, 1006, 11841, 23684 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2122, 8927, 2020, 4427, 2011, 5736, 1013, 26159, 1521, 1055, 17520, 3531, 3720, 1010, 17520, 4152, 5102, 1012, 2011, 12918, 2079, 23314, 19300, 1010, 4830, 18620, 4160, 6605, 3559, 1523, 2806, 2003, 1037, 3722, 2126, 1997, 3038, 8552, 2477, 1012, 1524, 2023, 14686, 1010, 2029, 2038, 2042, 7108, 2000, 2413, 3063, 3744, 2522, 6593, 10207, 1010, 2428, 11138, 2172, 1997, 2054, 2057, 2024, 2667, 2000, 16636, 2083, 2256, 2147, 2012, 4830, 18620, 4160, 1010, 1037, 4827, 1998, 23011, 4037, 2005, 1996, 23693, 2135, 14818, 1012, 4830, 18620, 4160, 1010, 2714, 2000, 2060, 19483, 23012, 2651, 1998, 2008, 2031, 2272, 2077, 1010, 2038, 2042, 6367, 2138, 2070, 2514, 2008, 2383, 1037, 4827, 3579, 2003, 1523, 7325, 2923, 1524, 1998, 1013, 2030, 1523, 23105, 1012, 1524, 2021, 1010, 2004, 2522, 6593, 10207, 1521, 1055, 14686, 2061, 8235, 2135, 2685, 2041, 1010, 2256, 5929, 2003, 12613, 1010, 1037, 5549, 1997, 2512, 1011, 12064, 4807, 2008, 7126, 2149, 16636, 3375, 2477, 2000, 2500, 2055, 2040, 2057, 2024, 2004, 3633, 1010, 2055, 2256, 8578, 1010, 2055, 2256, 8384, 1025, 1999, 1037, 2126, 1010, 5929, 1013, 4827, 1013, 2806, 2003, 1037, 2653, 1012, 1006, 2748, 1010, 2122, 2093, 8474, 2024, 2367, 1010, 2021, 2057, 2024, 4092, 2062, 3227, 2182, 1012, 1007, 2057, 3246, 2000, 2693, 3458, 3331, 3432, 2055, 9639, 1998, 12878, 2000, 3098, 2039, 1037, 7982, 2055, 2129, 1998, 2054, 2057, 10639, 2512, 1011, 12064, 2135, 3081, 2256, 4253, 1012, 2030, 1010, 2004, 29490, 1043, 25230, 2685, 2041, 1010, 1523, 1529, 5637, 2806, 2003, 2025, 2464, 2004, 2019, 22290, 1997, 4331, 1010, 2021, 2738, 1996, 2609, 1997, 2576, 8147, 1012, 1524, 2429, 2000, 1996, 2047, 2259, 2335, 1010, 1996, 3652, 4045, 2492, 1997, 1523, 25405, 26497, 1524, 2038, 3936, 2008, 1523, 2057, 2228, 2025, 2074, 2007, 2256, 14332, 2021, 2007, 2256, 4230, 1529, 1012, 1998, 2256, 2245, 6194, 2024, 2241, 2006, 3558, 6322, 2008, 2275, 2125, 3378, 10061, 8474, 1012, 2085, 2009, 3544, 2008, 2216, 6322, 2421, 1996, 4253, 2057, 4929, 1012, 1524, 2061, 1010, 4827, 1013, 2806, 1013, 5929, 2004, 1037, 2653, 1006, 2030, 2112, 1997, 1037, 3469, 2653, 1007, 1010, 2025, 2069, 10639, 2015, 2116, 2477, 2000, 6327, 14009, 1010, 2021, 2036, 14670, 2129, 2057, 23084, 9731, 1012, 4830, 18620, 4160, 14600, 2008, 5929, 1013, 4827, 1013, 2806, 1010, 2066, 1037, 5287, 2030, 2512, 1011, 12064, 2653, 1010, 2003, 2025, 2580, 1999, 1037, 11641, 1012, 2009, 14670, 1998, 2003, 19209, 2011, 8578, 1010, 8384, 1010, 1998, 1037, 2088, 2440, 1997, 2293, 1010, 3246, 1010, 14842, 1010, 3164, 3267, 1010, 1998, 13544, 3376, 2529, 8906, 1998, 7453, 2440, 1997, 5223, 1010, 28616, 15707, 4890, 1010, 14398, 1010, 2465, 2964, 1010, 24004, 24920, 1010, 9099, 24920, 1010, 6638, 1011, 6887, 16429, 2401, 1010, 1998, 2116, 2060, 2003, 5244, 1013, 6887, 16429, 7951, 1012, 2947, 1010, 1996, 14354, 2369, 2339, 2028, 3265, 7288, 2000, 4377, 1996, 2126, 2027, 4377, 2003, 2025, 2304, 2030, 2317, 1012, 15147, 2045, 2024, 2116, 4436, 2339, 1037, 3327, 3265, 14464, 1996, 2126, 2027, 4377, 1012, 2748, 1010, 2028, 3114, 2089, 2022, 2000, 7861, 9869, 1996, 7444, 3226, 1999, 2019, 3947, 2000, 5114, 9920, 2030, 4906, 20692, 6024, 10908, 1012, 2021, 2008, 2089, 2025, 2467, 2022, 2028, 1997, 2116, 4436, 2008, 2019, 3265, 15867, 1037, 3327, 2806, 1997, 4377, 1013, 5929, 1012, 2060, 4436, 2089, 2421, 2478, 2806, 2004, 1037, 2433, 1997, 6186, 1025, 6815, 2030, 24104, 2075, 1037, 3563, 2806, 1997, 4377, 1025, 16151, 1037, 2806, 1997, 4377, 2000, 4671, 3265, 6180, 1025, 10549, 5929, 2008, 16142, 2092, 2030, 2003, 8360, 1025, 2478, 5929, 2000, 7818, 1996, 15182, 1997, 2679, 1010, 2465, 1010, 18240, 1010, 5907, 1010, 1998, 13798, 1025, 4385, 1012, 3649, 1996, 4436, 1010, 1996, 5929, 2467, 7883, 1037, 4471, 1010, 2022, 2009, 3832, 2030, 4895, 18447, 21945, 1012, 1996, 3125, 1997, 2256, 4037, 2038, 2467, 2042, 2000, 3073, 2172, 2734, 16476, 1010, 4219, 1010, 1998, 2535, 1011, 4275, 2005, 14818, 5907, 1011, 19483, 2015, 1010, 2030, 3087, 2842, 2040, 2038, 2042, 2409, 2011, 2554, 2008, 2273, 26760, 14644, 1998, 16137, 10841, 22153, 3723, 2003, 1523, 2125, 6537, 1524, 2000, 2068, 1012, 2057, 17902, 2008, 2045, 2003, 2053, 2157, 2126, 1997, 2108, 4830, 18620, 1012, 2256, 8141, 2031, 1037, 5041, 2846, 1997, 2806, 18407, 2008, 18708, 2068, 1024, 5586, 5506, 3527, 2860, 1010, 2585, 14598, 1010, 29270, 2225, 1010, 2508, 4670, 1010, 6264, 2940, 1010, 9155, 2139, 6914, 18702, 1010, 6796, 12170, 22669, 1010, 6887, 2906, 16230, 1010, 10872, 25827, 1010, 3581, 19643, 1010, 28167, 29354, 21338, 7361, 5369, 1010, 1037, 1002, 9706, 6857, 1010, 1998, 1010, 2748, 1010, 2130, 1996, 9530, 17421, 8585, 4907, 5149, 4830, 18620, 4869, 6216, 13813, 2063, 1010, 2000, 2171, 1037, 2261, 1012, 1999, 1037, 3522, 17520, 3531, 2695, 2006, 8285, 20528, 20338, 1010, 5736, 3024, 1037, 3167, 16218, 1997, 1996, 4907, 5149, 4830, 18620, 19483, 12465, 1010, 5517, 1024, 1523, 2065, 17520, 2791, 1998, 17520, 4078, 7895, 8553, 2038, 2049, 2219, 2373, 3252, 1010, 4830, 18620, 17520, 2003, 2012, 1996, 2327, 1010, 2029, 3084, 3168, 1999, 1037, 6389, 1998, 6517, 2126, 2043, 2017, 2228, 2008, 4138, 5161, 2317, 2273, 1010, 1996, 2518, 2008, 4830, 18620, 17520, 2003, 3214, 2000, 7861, 9869, 1006, 2593, 18527, 2030, 2025, 1516, 1999, 2061, 2116, 3572, 1045, 2228, 1037, 4187, 8570, 2003, 2053, 2936, 1999, 2377, 2030, 2108, 12550, 1007, 2024, 2012, 1996, 2327, 1997, 1996, 26632, 2544, 1997, 2008, 2373, 3252, 1012, 2066, 2061, 2116, 2060, 3033, 1997, 19483, 16137, 10841, 22153, 3723, 1010, 4830, 18620, 5683, 2204, 1012, 2009, 5683, 2204, 2000, 4377, 4830, 18620, 2138, 1045, 2113, 1045, 2097, 2022, 3202, 3970, 2011, 19483, 2015, 1998, 2512, 1011, 19483, 2015, 11455, 1012, 1045, 2113, 1045, 2097, 2022, 2641, 8702, 1010, 1045, 2097, 2022, 2583, 2000, 22149, 19483, 7258, 2007, 3143, 7496, 1010, 1998, 2026, 16137, 10841, 22153, 3723, 2097, 2025, 2022, 8781, 1012, 1524, 2009, 2003, 2995, 2008, 1999, 2070, 8413, 1997, 1996, 1057, 1012, 1055, 1012, 1010, 1996, 4830, 18620, 1013, 4907, 5149, 12465, 2003, 1996, 19483, 2806, 4241, 8183, 3126, 1012, 1998, 1010, 2096, 5736, 1521, 1055, 3167, 3325, 17210, 2000, 2022, 9768, 2004, 9398, 1998, 2995, 2000, 5736, 1010, 2009, 2515, 2025, 5050, 2035, 1997, 1996, 6322, 1998, 15251, 1997, 2216, 2040, 4377, 4907, 5149, 4830, 18620, 19483, 1012, 2116, 1997, 2256, 8141, 2031, 2941, 2042, 18454, 10087, 2094, 1010, 2738, 2084, 1523, 3202, 3970, 1010, 1524, 2005, 11225, 4830, 18620, 1516, 2025, 2074, 2005, 11225, 14818, 1010, 2021, 4919, 2005, 11225, 4830, 18620, 1012, 2070, 1997, 2256, 16884, 1998, 8141, 1997, 3609, 2031, 2042, 28186, 1998, 2031, 2018, 2037, 2679, 1010, 18240, 1010, 1998, 1013, 2030, 16137, 10841, 22153, 3723, 2170, 2046, 3160, 2011, 2372, 1997, 2037, 2451, 1010, 2119, 3442, 1998, 19483, 1010, 2005, 11225, 1523, 2205, 8945, 15916, 2666, 1010, 1524, 4447, 2008, 2069, 2566, 22327, 20598, 20692, 6024, 22807, 2008, 2045, 2003, 2069, 2028, 2157, 2126, 1997, 11225, 2065, 2017, 1521, 2128, 1037, 13433, 2278, 1012, 2028, 8068, 7383, 5873, 2188, 2005, 6209, 1998, 2108, 4191, 2012, 2011, 2014, 12943, 2814, 2138, 2014, 6669, 21727, 6462, 1011, 2091, 3797, 2001, 1523, 2205, 4389, 1524, 1999, 2037, 5448, 1025, 2027, 3202, 2165, 2014, 2000, 1996, 6670, 2000, 5309, 2070, 7842, 12588, 6312, 1998, 2019, 21698, 1056, 1011, 3797, 1012, 2023, 8068, 2253, 2247, 2007, 2009, 2138, 2016, 2134, 1521, 1056, 2215, 2000, 2022, 2641, 1037, 1523, 5271, 2041, 1012, 1524, 2178, 8068, 4207, 1037, 2466, 2055, 2129, 2014, 4256, 2018, 2356, 2014, 2000, 4377, 2625, 4830, 18620, 2043, 2183, 2000, 3113, 2014, 4256, 1521, 1055, 2814, 2005, 1996, 2034, 2051, 2138, 11225, 2205, 4830, 18620, 2453, 4254, 2037, 1523, 2395, 13675, 2098, 1012, 1524, 2122, 6322, 2024, 2025, 7275, 2000, 1053, 6873, 2278, 2011, 2151, 2965, 1012, 2057, 2031, 2018, 14518, 11450, 2007, 2119, 1053, 6873, 2278, 1998, 2317, 1011, 4453, 4830, 18620, 4160, 2015, 2040, 24680, 1523, 4377, 2091, 1524, 2030, 2689, 2037, 4830, 18620, 6782, 2000, 4906, 1996, 6700, 3334, 12465, 2008, 2003, 2061, 2759, 1998, 2012, 1996, 2327, 1997, 1996, 2373, 3252, 1999, 19483, 4279, 1999, 3469, 3655, 2066, 2047, 2259, 1012, 1037, 8068, 2741, 2149, 2019, 1041, 1011, 5653, 4851, 2073, 2016, 2071, 2424, 15629, 6312, 2008, 4906, 2014, 10543, 1010, 2025, 2138, 2016, 4669, 4147, 15629, 6312, 1010, 2021, 2138, 2016, 2371, 3778, 2000, 4377, 2062, 6700, 3334, 2043, 2016, 2253, 2041, 2000, 19483, 6963, 1010, 2130, 2295, 2016, 6871, 1996, 2126, 2008, 1037, 3940, 1997, 8363, 1047, 20459, 2483, 4906, 2014, 2303, 1998, 1996, 2126, 2008, 1037, 6812, 1011, 5495, 1010, 2738, 2084, 1037, 10353, 1997, 18395, 1010, 7686, 2014, 11265, 4103, 1011, 4658, 6180, 1012, 18868, 1010, 2116, 1997, 2256, 8141, 2031, 2042, 26480, 2011, 11225, 4830, 18620, 1010, 2025, 2138, 2027, 2179, 9920, 2011, 7861, 10924, 1996, 7444, 3226, 1010, 2021, 2005, 2070, 1997, 2122, 1998, 2060, 3130, 3205, 4436, 2055, 2339, 3633, 2453, 4377, 1996, 2126, 2027, 4377, 1024, 2138, 2009, 2003, 1037, 2433, 1997, 1999, 1011, 2115, 1011, 2227, 6186, 1025, 2138, 2045, 2003, 2085, 3445, 3229, 2000, 1037, 2433, 1997, 2836, 2396, 2008, 2018, 2042, 3130, 6380, 2000, 2068, 1025, 2138, 2027, 2089, 2424, 1037, 15347, 2099, 1998, 27786, 2000, 2022, 2062, 4257, 17989, 2006, 2037, 4338, 2084, 1037, 4951, 1998, 15629, 6312, 1025, 2138, 2027, 2031, 2658, 5841, 2008, 2655, 2005, 2449, 20426, 1998, 2097, 2053, 2936, 19242, 4147, 1037, 9764, 2000, 2147, 1025, 2138, 2009, 13366, 3111, 5762, 22807, 1025, 2138, 2027, 5959, 16215, 16338, 2075, 2005, 2028, 1011, 1997, 1011, 1037, 1011, 2785, 13528, 4109, 1025, 2138, 2027, 6709, 2062, 2007, 1996, 3834, 4830, 18620, 17694, 1009, 4848, 1009, 5495, 2298, 1997, 9781, 2884, 2225, 2084, 1996, 24004, 6914, 3560, 5344, 1999, 6816, 3786, 1025, 1998, 2061, 2006, 1998, 2061, 5743, 1012, 4907, 5149, 2038, 2908, 2083, 2536, 15715, 2015, 2013, 2049, 7321, 1999, 4985, 2301, 3725, 2000, 2715, 2154, 15931, 1010, 2004, 8832, 1999, 15544, 16150, 1521, 1055, 3063, 1013, 8443, 1013, 4907, 5149, 4538, 3794, 1996, 20724, 2015, 1997, 1037, 7578, 2846, 1997, 18407, 2164, 1059, 1012, 1041, 1012, 1038, 1012, 4241, 19651, 1010, 2198, 5380, 1998, 22732, 3044, 1012, 2169, 24491, 7545, 2047, 5755, 1010, 2047, 15251, 1010, 2047, 15931, 1012, 2005, 2742, 1010, 1999, 2014, 2338, 7179, 2000, 4827, 1010, 22266, 8902, 20679, 5482, 2934, 9018, 1048, 1012, 4679, 5491, 1996, 4310, 2381, 1997, 2304, 4907, 5149, 2964, 1012, 7213, 1049, 1012, 12385, 7853, 1521, 1055, 3319, 1997, 4679, 1521, 1055, 2338, 3964, 1010, 1523, 1996, 2304, 4907, 5149, 2036, 6519, 24014, 2229, 27427, 2483, 11837, 19150, 9903, 1997, 2931, 16137, 10841, 22153, 3723, 2007, 2029, 2000, 2806, 1996, 4329, 1529, 26258, 6083, 1010, 2004, 1037, 2304, 4907, 5149, 12626, 1010, 2008, 2304, 1998, 9904, 7243, 2453, 10350, 5454, 2000, 2293, 1998, 5959, 11583, 1997, 4377, 1998, 2969, 1011, 8312, 2008, 10768, 25300, 4371, 2273, 1998, 16137, 10841, 22153, 4371, 2308, 1010, 2172, 2000, 1996, 9530, 6238, 9323, 1997, 4401, 2040, 2052, 6167, 2010, 14099, 5030, 1997, 20749, 1998, 4331, 1997, 2049, 13079, 2135, 5762, 16222, 5833, 28578, 11187, 1012, 1524, 19483, 2015, 2205, 2031, 2209, 1998, 3613, 2000, 2377, 2019, 2590, 2535, 1999, 2122, 2047, 24491, 2015, 1010, 9186, 1996, 15182, 1997, 4830, 18620, 1010, 6183, 2049, 7372, 1010, 1998, 8020, 2000, 2049, 2412, 1011, 5278, 2381, 1012, 29490, 1043, 25230, 1521, 1055, 3430, 6026, 19483, 4792, 3964, 1010, 1523, 1996, 19483, 2304, 4907, 5149, 1521, 1055, 7417, 2114, 1996, 3226, 1997, 16498, 3957, 4182, 2000, 1037, 2047, 12465, 2008, 13585, 1996, 27558, 17839, 1998, 24474, 1997, 26927, 22930, 22486, 2007, 1996, 2396, 23664, 1997, 5476, 5897, 1516, 2437, 4190, 7028, 1037, 19517, 3060, 2137, 15715, 1997, 1996, 2047, 3596, 1997, 4792, 1010, 4767, 1010, 1998, 2451, 8361, 1999, 2715, 1010, 3923, 3226, 1012, 1524, 7297, 1010, 1043, 25230, 28049, 2008, 11690, 3324, 1010, 2107, 2004, 17400, 13801, 1010, 12836, 3170, 8379, 1010, 10829, 15377, 1010, 1998, 10958, 16409, 2135, 16020, 2534, 1523, 3881, 2588, 1996, 7443, 1997, 4907, 5149, 2964, 1998, 5476, 3372, 20749, 1520, 2004, 2112, 1997, 1037, 4792, 2000, 2191, 1037, 4397, 8361, 11690, 4767, 2270, 3973, 5710, 1521, 1524, 1998, 7607, 2008, 1996, 11690, 4907, 5149, 2038, 2042, 1523, 17158, 3550, 1999, 4559, 2000, 1996, 26261, 15928, 3012, 1998, 6375, 3012, 1997, 3742, 3226, 1010, 2130, 2004, 2016, 2003, 6791, 2004, 1996, 21864, 17340, 5054, 20925, 2135, 2715, 1010, 2047, 2450, 1012, 1524, 1996, 11708, 3166, 1050, 1012, 1048, 1012, 2056, 1997, 1996, 2536, 15931, 1997, 7196, 2806, 1010, 1523, 2021, 1996, 2391 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1000, 2054, 2024, 2017, 2183, 2005, 1029, 1000, 1000, 1017, 1010, 2199, 1012, 1000, 1000, 2017, 1005, 2128, 2538, 2086, 2214, 1010, 2158, 1012, 1000, 1000, 1045, 2245, 2017, 2052, 2175, 2005, 2066, 2184, 1010, 2199, 19471, 2015, 1012, 1000, 1000, 1045, 1005, 1049, 1037, 2613, 2104, 21046, 23559, 2538, 1011, 2095, 1011, 2214, 1012, 1000, 1000, 2008, 1005, 1055, 2005, 2469, 1010, 6927, 1012, 1000, 1000, 2006, 2023, 1000, 2751, 5481, 1000, 1012, 1012, 1012, 1000, 1000, 2074, 2113, 2085, 2008, 2057, 1005, 2128, 6069, 2079, 1017, 1010, 2199, 19471, 2015, 1000, 1000, 1998, 2025, 2019, 19471, 2062, 1012, 1000, 1000, 2064, 2017, 3857, 1037, 7046, 2028, 1029, 1000, 1000, 1045, 1005, 1040, 2293, 2000, 16906, 2256, 3125, 2039, 2000, 1018, 1010, 2199, 19471, 2015, 1012, 1000, 1000, 2009, 1012, 1000, 1000, 2292, 1005, 1055, 2079, 2009, 1010, 2158, 1012, 1000, 1000, 2054, 2079, 2017, 2360, 1029, 1000, 1000, 2339, 2025, 1029, 1000, 1000, 2157, 2085, 1010, 2057, 1005, 2128, 3061, 2006, 1037, 2502, 1011, 4632, 9498, 1012, 1000, 1000, 2064, 2514, 1996, 3612, 4139, 2378, 1005, 2023, 2518, 1012, 1000, 1000, 23281, 999, 1000, 1000, 3631, 6065, 999, 1000, 1000, 2025, 2182, 2000, 21766, 18142, 2151, 12261, 2030, 2505, 1012, 1000, 1000, 2024, 2017, 6069, 2292, 2033, 2448, 1996, 2852, 24225, 1037, 2978, 2062, 1029, 1000, 1000, 14408, 8496, 3825, 2005, 2011, 5456, 4806, 1000, 1000, 2416, 2706, 3283, 1010, 1000, 1000, 1996, 15107, 3626, 2187, 11338, 4939, 8540, 3636, 1000, 1000, 1998, 1996, 1047, 7811, 4305, 3489, 2005, 2204, 1012, 1000, 1000, 2074, 2175, 2005, 2009, 1012, 1000, 1000, 2021, 2085, 2027, 1005, 2128, 2067, 1012, 1012, 1012, 1000, 1000, 4012, 2378, 1005, 2039, 1010, 16994, 7606, 1012, 1000, 1000, 1012, 1012, 1012, 2000, 4487, 11512, 9286, 6071, 2417, 1000, 1000, 1998, 2202, 2009, 1016, 1010, 2199, 2661, 2148, 1010, 1000, 1000, 2000, 5392, 1012, 1000, 1000, 3154, 2028, 1029, 1000, 1000, 3398, 1010, 3154, 1012, 1000, 1000, 2292, 2014, 2091, 1012, 1000, 1000, 2037, 2034, 5392, 3169, 1000, 1000, 2038, 2061, 2521, 2550, 1000, 1000, 1037, 15640, 2753, 19471, 2015, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2113, 2339, 1996, 2152, 3347, 3475, 1005, 1056, 5155, 1012, 1000, 1000, 2057, 7718, 2009, 1012, 1000, 1000, 2242, 1005, 1055, 2183, 2006, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2113, 2054, 1012, 1000, 1000, 2061, 2027, 1005, 2310, 2441, 2039, 1000, 1000, 1037, 2117, 3067, 1010, 1996, 10131, 3122, 1012, 1000, 1000, 1998, 2027, 2342, 1037, 9378, 3269, 1012, 1000, 1000, 2134, 1005, 1056, 2228, 2057, 2020, 6069, 2342, 6071, 2417, 1012, 1000, 1000, 2021, 2009, 3504, 2066, 2057, 1005, 2128, 6069, 1012, 1000, 1000, 2061, 2057, 1005, 2222, 2131, 2009, 1010, 3338, 2009, 4237, 1010, 1000, 1000, 2131, 2009, 2091, 2045, 1010, 2156, 2054, 6433, 1012, 1000, 1000, 1045, 2288, 2000, 2131, 2023, 3269, 2000, 5392, 1012, 1000, 1000, 2057, 2288, 2000, 2131, 22889, 10179, 6129, 1012, 1000, 1000, 2057, 1005, 2128, 2770, 2041, 1997, 2051, 1012, 1000, 1000, 2061, 2057, 2145, 2288, 1037, 3232, 2502, 4109, 1000, 1000, 2008, 2057, 2288, 2000, 2131, 2041, 1997, 2182, 1012, 1000, 1000, 2057, 2288, 2008, 3898, 5877, 1012, 1000, 1000, 2008, 1005, 1055, 6069, 2022, 1037, 4121, 3538, 1012, 1000, 1000, 16994, 7606, 1010, 2043, 2057, 2175, 2000, 4060, 2023, 1010, 1000, 1000, 1045, 2215, 2000, 21245, 2122, 15196, 2039, 1012, 1000, 1000, 1045, 2215, 2000, 3313, 1011, 4638, 1998, 2298, 2012, 2296, 4060, 2391, 1012, 1000, 1000, 5074, 2008, 1012, 1000, 1000, 2008, 4165, 2066, 1037, 2204, 2801, 1010, 5965, 1012, 1000, 1000, 6927, 2038, 7462, 1000, 1000, 1047, 7811, 4305, 3489, 3067, 5795, 16994, 7606, 13144, 1998, 2010, 11308, 1000, 1000, 2000, 2202, 4237, 1996, 2531, 1010, 2199, 1011, 9044, 3269, 1012, 1000, 1000, 2023, 3612, 1005, 1055, 2893, 4788, 1998, 4788, 1012, 1000, 1000, 3398, 1010, 1996, 3612, 2003, 2919, 1012, 1000, 1000, 1045, 1005, 1049, 6091, 1012, 1000, 1000, 2021, 1010, 2292, 1005, 1055, 2131, 13322, 2039, 1010, 1000, 1000, 3046, 2009, 1010, 1998, 2404, 2070, 3635, 2006, 2009, 1012, 1000, 1000, 19343, 1010, 2017, 3201, 1029, 1000, 1000, 2292, 1005, 1055, 2175, 1012, 1000, 1000, 2157, 2085, 1010, 2057, 1005, 2128, 3061, 2006, 1037, 2502, 1011, 4632, 9498, 1012, 1000, 1000, 2017, 2113, 1010, 2009, 1005, 1055, 2322, 1011, 2070, 2519, 2146, 1010, 1020, 1010, 1021, 2519, 2152, 1012, 1000, 1000, 2017, 2113, 1010, 2404, 1037, 9498, 2008, 2502, 2041, 1010, 1000, 1000, 2156, 2129, 2172, 3612, 2009, 11269, 1012, 1000, 1000, 2292, 1005, 1055, 2507, 2009, 17752, 1010, 16994, 7606, 1012, 1000, 1000, 2515, 2009, 2130, 2693, 1010, 5965, 1029, 1000, 1000, 2035, 2057, 1005, 2310, 2589, 2061, 2521, 2003, 2202, 1037, 2210, 22936, 1000, 1000, 2041, 1997, 1996, 6076, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2009, 1005, 1055, 2746, 2125, 2058, 2182, 999, 1000, 1000, 2057, 1005, 2128, 3048, 1012, 1000, 1000, 2009, 1005, 1055, 2746, 2039, 1012, 1000, 1000, 1045, 2064, 2514, 1996, 3612, 4815, 2023, 2518, 1012, 1000, 1000, 2272, 2006, 1010, 3336, 1012, 1000, 1000, 2272, 2006, 1012, 1000, 1000, 3733, 1012, 1000, 1000, 19343, 1010, 2129, 1005, 1055, 2009, 2298, 1029, 1000, 1000, 2043, 2002, 28837, 1996, 3233, 1010, 2057, 11276, 2000, 2031, 2032, 2272, 2091, 1012, 1000, 1000, 2559, 2204, 1010, 6927, 1010, 2559, 2204, 1012, 1000, 1000, 3053, 2045, 999, 1000, 1000, 3398, 999, 1000, 1000, 1996, 3898, 5877, 2003, 9689, 2358, 15096, 1012, 1000, 1000, 2035, 2008, 1005, 1055, 2187, 2003, 2000, 6366, 1996, 6073, 2099, 3233, 1012, 1000, 1000, 2005, 1996, 2627, 1016, 2086, 1010, 2045, 1005, 1055, 2042, 2058, 1002, 1019, 2454, 1000, 1000, 4276, 1997, 2751, 8871, 1000, 1000, 2157, 2104, 2073, 2026, 2519, 2024, 1998, 2203, 2039, 1999, 2216, 22889, 10179, 9623, 1012, 1000, 1000, 2023, 2003, 2339, 2057, 2234, 2182, 1012, 1000, 1000, 2023, 2003, 1996, 2087, 2590, 2112, 1012, 1000, 1000, 2057, 2064, 1005, 1056, 11224, 2023, 2039, 1012, 1000, 1000, 2023, 2878, 4440, 2003, 2055, 2023, 2112, 2182, 1012, 1000, 1000, 2009, 1005, 1055, 3492, 2172, 3976, 3238, 1012, 1000, 1000, 1998, 1011, 1011, 1998, 2009, 1005, 1055, 7661, 1010, 2064, 1005, 1056, 2074, 2175, 2041, 1000, 1000, 1998, 4965, 2242, 2066, 2023, 1999, 2460, 2344, 1012, 1000, 1000, 2129, 2172, 2079, 2017, 2228, 2023, 2518, 21094, 1010, 5965, 1029, 1000, 1000, 2007, 2035, 2216, 14684, 4570, 1998, 1996, 4937, 17122, 2015, 1000, 1000, 1998, 4933, 2006, 2009, 1010, 2763, 2423, 1010, 2382, 1012, 1000, 1000, 2292, 1005, 1055, 2079, 2009, 999, 1000, 1000, 1020, 1010, 2199, 1012, 1021, 1010, 2199, 1012, 1000, 1000, 1022, 1010, 2199, 1012, 1000, 1000, 2057, 1005, 2128, 2012, 2184, 1010, 3156, 1012, 1000, 1000, 2321, 1012, 2385, 1012, 1000, 1000, 2459, 1012, 2322, 1012, 1000, 1000, 2603, 1012, 1000, 1000, 2423, 1012, 1000, 1000, 2038, 2009, 2130, 24981, 2094, 1029, 1000, 1000, 8440, 1005, 1056, 2130, 2333, 2019, 4960, 1012, 1000, 1000, 2562, 7294, 2009, 1012, 1000, 1000, 1045, 1005, 1049, 2012, 4029, 1010, 2199, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2113, 1010, 6927, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2228, 2009, 2323, 2022, 2023, 3082, 1012, 1000, 1000, 1996, 11308, 2003, 4815, 2012, 2560, 1020, 1010, 2199, 7038, 2062, 1000, 1000, 2084, 1996, 3635, 1997, 1996, 6073, 2099, 3233, 1012, 1000, 1000, 2145, 1010, 2009, 2180, 1005, 1056, 24981, 1012, 1000, 1000, 2054, 2079, 2017, 2215, 2000, 2079, 1010, 16994, 7606, 1029, 1000, 1000, 4151, 10424, 6799, 1012, 1000, 1000, 1045, 1005, 1049, 2074, 3753, 2067, 1010, 2131, 2318, 2005, 1996, 2095, 1010, 1000, 1000, 5094, 4116, 2693, 2023, 2060, 2852, 24225, 1012, 1000, 1000, 4962, 8808, 2386, 2003, 2067, 1000, 1000, 2005, 2010, 2117, 2161, 1000, 1000, 2004, 4116, 10506, 3215, 1005, 18031, 1012, 1000, 1000, 2009, 1005, 2222, 2022, 2204, 2000, 2079, 1037, 10368, 2622, 1010, 1000, 1000, 2242, 2047, 1010, 2242, 2367, 1012, 1000, 1000, 2025, 2205, 2116, 2111, 2131, 2000, 2079, 2008, 1012, 1000, 1000, 2010, 3260, 1000, 1000, 2202, 4237, 4116, 1005, 1055, 3156, 1011, 10228, 2117, 2852, 24225, 1010, 1000, 1000, 3665, 2009, 5018, 2661, 1010, 1000, 1000, 1998, 3288, 1996, 3418, 2751, 3698, 2067, 2000, 2166, 1012, 1000, 1000, 2057, 2288, 2000, 19398, 2009, 2091, 1996, 19898, 2314, 1012, 1000, 1000, 2061, 2008, 1005, 1055, 2178, 4119, 1012, 1000, 1000, 2045, 1005, 1055, 6069, 2022, 2070, 4083, 7774, 2007, 2008, 1012, 1000, 1000, 2559, 2830, 2000, 2893, 2318, 2006, 1996, 2622, 1012, 1000, 1000, 2008, 1005, 1055, 2339, 1045, 1005, 1049, 2182, 1012, 1000, 1000, 2002, 8440, 1005, 1056, 2042, 2105, 2182, 2172, 1010, 2038, 2002, 1029, 1000, 1000, 2092, 1010, 2002, 8440, 1005, 1056, 2904, 1012, 1000, 1000, 2292, 1005, 1055, 2404, 2009, 2008, 2126, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2204, 1010, 4116, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 7632, 1010, 4962, 1012, 1000, 1000, 7632, 1010, 26188, 1012, 1000, 1000, 2092, 1010, 1045, 2018, 2000, 3288, 2242, 1012, 1000, 1000, 2092, 1010, 2279, 2051, 3288, 2242, 2488, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2323, 2022, 4569, 1010, 1045, 3984, 1012, 1000, 1000, 2017, 2108, 2182, 1010, 2009, 2097, 9241, 2477, 2247, 1012, 1000, 1000, 2092, 1010, 3398, 1012, 1000, 1000, 2053, 1010, 1045, 1005, 1049, 3201, 2000, 2131, 2183, 1012, 1000, 1000, 1045, 2354, 2017, 1005, 1040, 2022, 3201, 1012, 1000, 1000, 12476, 1012, 1000, 1000, 2061, 2054, 1005, 2128, 2017, 2119, 3564, 2182, 3331, 1029, 1000, 1000, 1045, 2215, 2000, 2693, 2008, 2852, 24225, 2003, 2054, 1045, 2215, 2000, 2079, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 1999, 1996, 12446, 5243, 3385, 1010, 1000, 1000, 4116, 10506, 3215, 4149, 2048, 2214, 12888, 19468, 1000, 1000, 2000, 14655, 1996, 2852, 24225, 2091, 1996, 19898, 2314, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2057, 1005, 2128, 6069, 2031, 2000, 2202, 2008, 2035, 4237, 4312, 2015, 1012, 1000, 1000, 2061, 1045, 2123, 1005, 1056, 2113, 1012, 1000, 1000, 1045, 3984, 1000, 1000, 3398, 1012, 1000, 1000, 2612, 1997, 3225, 2006, 1996, 2117, 2852, 24225, 1010, 1000, 1000, 4962, 2038, 2000, 2735, 1037, 8632, 1997, 15121, 1000, 1000, 2046, 1037, 4170, 1997, 2551, 29306, 1012, 1000, 1000, 2017, 2113, 1010, 2057, 2288, 27930, 1010, 4762, 7286, 1012, 1000, 1000, 3904, 1997, 1996, 11520, 3210, 2024, 13322, 2039, 1012, 1000, 1000, 1045, 2342, 2000, 2175, 1010, 2191, 1037, 2261, 3042, 4455, 2182, 1000, 1000, 2055, 2070, 1997, 1996, 7711, 1998, 4933, 1012, 1000, 1000, 2009, 1005, 1055, 2785, 1997, 10866, 1010, 2017, 2113, 1029, 1000, 1000, 2017, 2298, 2012, 1996, 4121, 1010, 1000, 1000, 2502, 3861, 1997, 2477, 1010, 2009, 3504, 10827, 1012, 1000, 1000, 3100, 1012, 1000, 1000, 1045, 1005, 1049, 6069, 2175, 2147, 1012, 1000, 1000, 2175, 2000, 3109, 1012, 1000, 1000, 2175, 3805, 1998, 2543, 2039, 2008, 1010, 5385, 1000, 1000, 1998, 3288, 2009, 2058, 1998, 11112, 2009, 1012, 1000, 1000, 1996, 15107, 3626, 2003, 2635, 2049, 1002, 9475, 1010, 2199, 9378, 3269, 1000, 1000, 2148, 2000, 2037, 2047, 3169, 1999, 5392, 1012, 1000, 1000, 2009, 1005, 1055, 5881, 2157, 2085, 1012, 1000, 1000, 2009, 1005, 1055, 2025, 8783, 2009, 1012, 1000, 1000, 2021, 1996, 6073, 2099, 3233, 2003, 5881, 3435, 1000, 1000, 1999, 1996, 7708, 1047, 7811, 4305, 3489, 6900, 1012, 1000, 1000, 19343, 11898, 2038, 1037, 2933, 1012, 1012, 1012, 1000, 1000, 2027, 1005, 2128, 6069, 6723, 2008, 5385, 1998, 3046, 2000, 2131, 2009, 2041, 1997, 2045, 1012, 1000, 1000, 1012, 1012, 1012, 3046, 2000, 16371, 11818, 6065, 2028, 3420, 1997, 1996, 3233, 1000, 1000, 2000, 2507, 16994, 7606, 1037, 2488, 2915, 2012, 8783, 2009, 1012, 1000, 1000, 5245, 2041, 999, 1000, 1000, 5245, 2041, 2006, 1996, 2849, 999, 1000, 1000, 2045, 2017, 2175, 1012, 1000, 1000, 23281, 999, 1000, 1000, 2831, 2000, 2033, 999, 1000, 1000, 10667, 1999, 1998, 4897, 2009, 2023, 2126, 1012, 1000, 1000, 5074, 1012, 1000, 1000, 2156, 2065, 2017, 2064, 2131, 1037, 2488, 6466, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2009, 1005, 1055, 3631, 6065, 1012, 1000, 1000, 3100, 1012, 1000, 1000, 2292, 1005, 1055, 2156, 2065, 2057, 2064, 6336, 1996, 2214, 2611, 1012, 1000, 1000, 2057, 1005, 2128, 6069, 3046, 2000, 2131, 1996, 13610, 7650, 2045, 1010, 1000, 1000, 10147, 24679, 2009, 1037, 2210, 2978, 2096, 16994, 7606, 2003, 4815, 1012, 1000, 1000, 2654, 1012, 2756, 1012, 1000, 1000, 2382, 1010, 2199, 7038, 1012, 1000, 1000, 2045, 1012, 1000, 1000, 2009, 1005, 1055, 3225, 2000, 2693, 1012, 1000, 1000, 3819, 1012, 1000, 1000, 3398, 999, 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, 1015, 1012, 4955, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 4057, 23066, 19417, 1999, 10556, 12333, 16369, 1010, 2900, 1010, 2003, 1996, 2088, 1032, 1005, 1055, 2087, 3161, 23694, 2284, 2379, 4956, 2752, 1006, 1031, 3275, 1015, 1033, 1006, 1001, 20965, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2076, 1037, 2312, 17259, 1999, 4554, 1010, 13697, 14374, 2011, 1996, 12779, 4198, 1996, 2479, 1997, 11047, 1012, 23066, 19417, 2000, 1996, 2821, 17421, 2072, 6000, 1012, 2144, 2059, 1010, 1996, 12779, 2038, 2468, 3161, 2296, 2184, 1011, 1011, 2382, 2086, 1025, 3161, 6993, 2020, 2105, 4437, 1010, 3918, 1010, 3838, 1011, 1011, 3476, 1010, 1998, 1996, 2558, 2090, 3285, 1998, 2541, 2007, 2049, 4672, 1999, 3106, 1012, 1999, 1996, 5101, 1997, 11047, 1012, 23066, 19417, 1010, 1996, 2922, 8310, 1997, 6683, 13976, 2020, 2680, 1999, 23066, 19417, 2237, 1010, 2029, 2003, 2284, 2006, 1996, 3329, 1997, 2023, 3137, 1010, 1998, 16985, 12717, 9759, 2103, 1010, 2029, 2024, 1019, 1011, 1011, 2321, 2463, 2185, 2013, 11047, 1012, 23066, 19417, 1012, 1999, 1996, 3865, 1010, 1996, 8310, 6683, 13976, 1999, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 14872, 2184, 1010, 2199, 1043, 1013, 1049, 1034, 1016, 1034, 1013, 1061, 2099, 2006, 2779, 2429, 2000, 1996, 2880, 3189, 1997, 10556, 12333, 16369, 19402, 11137, 2231, 1012, 11289, 2013, 11047, 1012, 23066, 19417, 5383, 3155, 3438, 1003, 1997, 9033, 2080, 1066, 1016, 1066, 1010, 2029, 2001, 3701, 2512, 26775, 27268, 8095, 3170, 1032, 1031, 1031, 1030, 29491, 1033, 1032, 1033, 1012, 3728, 1010, 2940, 2386, 2988, 2008, 1996, 23066, 19417, 6683, 1999, 2236, 3397, 2039, 2000, 1021, 1059, 2102, 1003, 1997, 13675, 20483, 10264, 4221, 2021, 2053, 2060, 9033, 19341, 26572, 5302, 14536, 7898, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 1996, 3739, 1997, 13675, 20483, 10264, 4221, 1999, 6683, 13275, 5936, 2055, 15316, 2740, 3896, 1997, 2146, 1011, 2744, 2529, 7524, 2000, 6683, 1012, 24628, 9033, 19341, 2003, 2179, 1999, 2025, 2069, 1996, 6683, 2013, 11047, 1012, 23066, 19417, 2021, 2036, 1996, 6683, 2013, 2060, 23694, 1012, 1999, 1996, 2553, 1997, 2061, 16093, 16252, 2063, 4564, 12779, 1010, 18318, 8043, 8609, 1010, 1996, 4942, 1011, 2184, 1011, 12702, 22828, 12884, 1997, 6683, 7013, 2011, 1052, 12541, 10085, 28723, 6223, 2719, 2011, 13697, 8514, 7859, 3397, 2184, 2000, 2484, 3635, 3867, 1997, 24628, 9033, 19341, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1032, 1033, 1012, 2348, 2116, 2913, 8920, 1996, 2740, 3896, 1997, 11047, 1012, 23066, 19417, 1032, 1005, 1055, 10942, 4023, 2426, 1996, 3901, 1999, 2049, 5101, 1032, 1031, 1031, 1030, 1038, 2549, 1033, 1032, 1033, 1010, 2053, 10358, 11888, 2740, 3896, 2031, 2042, 4484, 1012, 2174, 1010, 1996, 2913, 1999, 1996, 3865, 1998, 1996, 2220, 4134, 2071, 2025, 11628, 1996, 2146, 1011, 2744, 3896, 1997, 11047, 1012, 23066, 19417, 1032, 1005, 1055, 10942, 3450, 1010, 2029, 6601, 1999, 1996, 3054, 1011, 3865, 1012, 1999, 1996, 2556, 2817, 1010, 2057, 8920, 1996, 16367, 13356, 21879, 1997, 16464, 7870, 1010, 2164, 11192, 4456, 1010, 1999, 23066, 19417, 2237, 1998, 16985, 12717, 9759, 2103, 2076, 1996, 2558, 3380, 1011, 1011, 2526, 1010, 1998, 4102, 2068, 2007, 2216, 1997, 22827, 18232, 2103, 1010, 2029, 2038, 2172, 3760, 8310, 1997, 6683, 13976, 2084, 1996, 15315, 4648, 19417, 1011, 16985, 12717, 9759, 2181, 1010, 1999, 2344, 2000, 16157, 1996, 2146, 1011, 2744, 2740, 3466, 1997, 11047, 1012, 23066, 19417, 1032, 1005, 1055, 10942, 3450, 1012, 1016, 1012, 4475, 1998, 4725, 1063, 1001, 10819, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 23066, 19417, 2237, 2038, 1996, 2313, 1997, 2055, 1018, 1012, 2199, 1998, 2003, 4350, 2006, 1996, 3329, 1997, 11047, 1012, 23066, 19417, 1012, 16985, 12717, 9759, 2103, 2038, 1996, 2313, 1997, 2055, 2322, 1012, 2199, 1998, 2003, 2284, 2306, 2184, 2463, 2013, 11047, 1012, 23066, 19417, 1012, 22827, 18232, 2103, 1010, 2007, 1996, 2313, 1997, 2055, 2531, 1012, 2199, 1010, 10638, 16985, 12717, 9759, 2103, 2021, 2003, 2284, 2012, 1996, 2582, 2597, 2013, 11047, 1012, 23066, 19417, 1998, 3568, 2038, 2172, 3760, 8310, 1997, 6683, 13976, 1012, 3904, 1997, 2216, 7602, 2038, 3809, 2250, 10796, 2013, 4026, 15575, 1012, 1999, 1996, 2556, 2817, 1010, 2057, 8920, 13356, 1997, 16464, 7870, 2060, 2084, 15877, 1012, 2028, 1997, 2068, 2001, 16007, 27881, 9253, 24759, 3022, 2213, 1997, 19817, 15395, 2050, 1010, 22953, 12680, 2271, 1010, 1998, 11192, 1006, 24582, 2094, 25660, 1024, 17832, 1007, 1012, 2057, 3432, 2170, 2023, 4295, 9178, 1000, 11192, 4456, 1000, 1006, 24582, 2094, 25660, 1024, 17832, 1007, 1999, 1996, 2556, 2817, 1012, 2060, 2590, 16464, 7870, 13343, 21908, 15877, 2024, 1000, 7870, 1997, 16464, 2291, 1000, 1006, 24582, 2094, 25660, 1024, 17267, 1011, 1011, 4868, 2683, 1007, 1012, 2023, 4295, 4696, 2003, 4055, 2046, 1996, 2206, 2967, 1999, 24582, 2094, 25660, 1024, 11325, 16464, 15245, 1006, 24582, 2094, 25660, 1024, 17267, 1011, 1011, 4805, 2575, 1007, 1010, 2060, 7870, 1997, 3356, 16464, 8985, 1006, 24582, 2094, 25660, 1024, 21064, 1011, 1011, 4700, 2620, 1007, 1010, 18583, 1998, 24442, 1006, 24582, 2094, 25660, 1024, 17295, 1011, 1011, 4466, 2581, 1007, 1010, 11888, 27885, 3367, 6820, 15277, 21908, 4295, 1998, 6035, 3785, 1006, 24582, 2094, 25660, 1024, 22288, 1011, 1011, 4749, 2575, 1007, 1010, 1052, 2638, 2819, 24163, 27678, 6190, 1998, 2060, 11192, 7870, 2349, 2000, 6327, 6074, 1006, 24582, 2094, 2683, 1024, 3156, 1011, 1011, 2753, 2620, 1007, 1010, 1998, 2060, 7870, 1997, 16464, 2291, 1006, 24582, 2094, 25660, 1024, 23475, 1011, 1011, 4868, 2683, 1007, 1012, 1999, 2023, 2817, 1010, 2057, 4117, 1000, 11325, 16464, 15245, 1000, 1998, 1000, 18583, 1998, 24442, 1000, 1006, 24582, 2094, 25660, 1024, 17295, 1011, 1011, 4466, 2581, 1007, 1998, 2170, 2023, 4696, 2004, 11325, 16464, 7870, 1006, 24582, 2094, 25660, 1024, 17267, 1011, 1011, 4805, 2575, 1010, 17295, 1011, 1011, 4466, 2581, 1007, 1012, 2006, 1996, 2060, 2192, 1010, 1996, 4295, 7236, 1997, 1000, 2060, 7870, 1997, 3356, 16464, 8985, 1000, 1006, 24582, 2094, 25660, 1024, 21064, 1011, 1011, 4700, 2620, 1007, 1998, 1000, 2060, 7870, 1997, 16464, 2291, 1000, 1006, 24582, 2094, 25660, 1024, 23475, 1011, 1011, 4868, 2683, 1007, 2020, 2025, 2443, 1999, 2256, 2817, 1012, 2057, 5531, 2008, 2027, 2020, 2025, 2590, 2005, 1996, 2556, 2817, 2138, 1996, 2193, 1997, 6677, 2013, 2216, 7870, 2001, 2235, 1010, 1998, 2027, 2020, 1010, 1999, 1037, 3168, 1010, 2019, 5665, 1011, 4225, 4295, 4696, 1012, 17044, 2015, 2000, 2360, 1010, 2057, 2020, 4699, 1999, 1000, 1052, 2638, 2819, 24163, 27678, 6190, 1998, 2060, 11192, 7870, 2349, 2000, 6327, 6074, 1000, 1006, 24582, 2094, 25660, 1024, 3156, 1011, 1011, 2753, 2620, 1007, 1010, 2029, 2089, 2022, 3378, 2007, 10942, 3450, 1012, 2174, 1010, 1996, 4772, 2011, 1996, 2334, 2740, 3691, 2515, 2025, 2556, 1996, 2193, 1997, 6677, 2005, 2023, 4295, 4696, 1012, 16367, 13356, 21879, 1006, 15488, 2869, 1007, 1997, 6677, 2013, 11192, 4456, 1006, 24582, 2094, 25660, 1024, 17832, 1007, 1010, 11325, 16464, 7870, 1006, 24582, 2094, 25660, 1024, 17267, 1011, 1011, 4805, 2575, 1010, 17295, 1011, 1011, 4466, 2581, 1007, 1010, 1998, 8872, 5104, 1006, 24582, 2094, 25660, 1024, 22288, 1011, 1011, 4749, 2575, 1007, 1999, 1996, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 1006, 6086, 2181, 1007, 1998, 22827, 18232, 2103, 1006, 2491, 2181, 1007, 2020, 10174, 2004, 1037, 6463, 2090, 5159, 1998, 3517, 3616, 1997, 6677, 1012, 1996, 3616, 1997, 6677, 2013, 11192, 4456, 1006, 24582, 2094, 25660, 1024, 17832, 1007, 1010, 11325, 16464, 7870, 1006, 24582, 2094, 25660, 1024, 17267, 1011, 1011, 4805, 2575, 1010, 17295, 1011, 1011, 4466, 2581, 1007, 1010, 1998, 8872, 5104, 1006, 24582, 2094, 25660, 1024, 22288, 1011, 1011, 4749, 2575, 1007, 2020, 4663, 2013, 1996, 3296, 8995, 6747, 3189, 2405, 2011, 1996, 10556, 12333, 16369, 19402, 11137, 4546, 2231, 1012, 1996, 3517, 3616, 1997, 6677, 2020, 4663, 2083, 4800, 22086, 2075, 2287, 1011, 5907, 1011, 2095, 1011, 3563, 2313, 3616, 1997, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 2030, 22827, 18232, 2103, 2011, 7978, 5907, 1011, 1010, 2287, 1011, 1006, 1019, 1011, 2095, 4696, 1007, 1010, 1998, 2095, 1011, 3563, 13356, 6165, 2005, 11192, 4456, 1006, 24582, 2094, 25660, 1024, 17832, 1007, 1010, 11325, 16464, 7870, 1006, 24582, 2094, 25660, 1024, 17267, 1011, 1011, 4805, 2575, 1010, 17295, 1011, 1011, 4466, 2581, 1007, 1010, 1998, 8872, 5104, 1006, 24582, 2094, 25660, 1024, 22288, 1011, 1011, 4749, 2575, 1007, 1999, 10556, 12333, 16369, 7498, 1006, 2313, 1997, 2055, 1015, 1012, 1020, 2454, 1007, 1010, 2029, 2020, 4663, 2013, 1996, 3296, 8995, 6747, 3189, 2405, 2011, 1996, 10556, 12333, 16369, 19402, 11137, 4546, 2231, 1012, 1996, 5345, 1003, 7023, 14025, 1006, 5345, 1003, 20199, 1007, 1997, 15488, 2869, 2020, 4663, 2011, 1996, 4725, 10262, 13433, 24077, 4353, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1032, 1033, 1012, 1996, 2193, 1997, 3901, 3563, 2005, 5907, 1998, 2287, 1006, 1019, 1011, 2095, 4696, 1007, 1999, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 1998, 22827, 18232, 2103, 2001, 4663, 2011, 1996, 2120, 2883, 4146, 2296, 1019, 2086, 1012, 1996, 2313, 1999, 3359, 2001, 2109, 2005, 3380, 1011, 1011, 3285, 1010, 3339, 2005, 5989, 2509, 1011, 1011, 3355, 1010, 3150, 2005, 3301, 1011, 1011, 3196, 1010, 3106, 2005, 3172, 1011, 1011, 3055, 1010, 2901, 2005, 2997, 1011, 1011, 2826, 1010, 2786, 2005, 2857, 1011, 1011, 2722, 1010, 1998, 2456, 2005, 2687, 1011, 1011, 2526, 1012, 1996, 2951, 2006, 1996, 3815, 1997, 6683, 13976, 2020, 4663, 2013, 1996, 4037, 1997, 10556, 12333, 16369, 19402, 11137, 2231, 1012, 1017, 1012, 3463, 1063, 1001, 10819, 2509, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 15488, 2099, 1997, 11192, 4456, 1999, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 2001, 1015, 1012, 6079, 1006, 5345, 1003, 25022, 1027, 1015, 1012, 4008, 1011, 1011, 1015, 1012, 6275, 1007, 2005, 2273, 1998, 1015, 1012, 6163, 1006, 5345, 1003, 25022, 1027, 1015, 1012, 4464, 1011, 1011, 1015, 1012, 5345, 1007, 2005, 2308, 1010, 8131, 2008, 11192, 4456, 13356, 2001, 6022, 3445, 2043, 4102, 2000, 1996, 2972, 10556, 12333, 16369, 7498, 1012, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 2018, 1037, 6022, 3445, 8872, 2094, 9801, 6447, 1006, 15488, 2099, 2005, 2273, 1998, 2308, 4117, 1027, 1015, 1012, 6282, 1010, 5345, 1003, 25022, 1027, 1015, 1012, 6191, 1011, 1011, 1016, 1012, 4002, 1025, 2951, 2025, 3491, 1999, 1031, 2795, 1015, 1033, 1006, 1001, 21628, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1007, 1998, 11325, 16464, 7870, 1006, 15488, 2099, 1027, 1015, 1012, 2260, 1010, 5345, 1003, 25022, 1027, 1015, 1012, 5511, 1011, 1011, 1015, 1012, 2385, 1007, 1012, 2009, 2323, 2022, 3264, 2008, 1996, 15488, 2869, 2005, 11325, 16464, 7870, 2020, 15329, 2896, 2084, 2216, 2005, 11192, 4456, 1998, 8872, 5104, 1010, 1998, 1996, 5966, 2090, 11325, 16464, 7870, 1998, 1996, 2060, 2048, 7870, 2020, 3278, 2144, 1996, 5345, 1003, 25022, 1997, 1996, 15488, 2099, 1997, 11325, 16464, 7870, 2106, 2025, 17702, 2007, 2216, 2007, 1996, 2060, 2048, 16464, 7870, 1012, 22827, 18232, 2103, 1010, 2029, 2003, 2055, 2382, 2463, 2185, 2013, 11047, 1012, 23066, 19417, 1010, 2038, 6683, 13976, 1997, 19714, 1043, 1013, 1049, 1034, 1016, 1034, 1013, 1061, 2099, 1010, 2029, 2003, 2625, 2084, 2184, 1003, 1997, 2008, 1999, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 1012, 2174, 1010, 1996, 13356, 6165, 1997, 11192, 4456, 1010, 8872, 5104, 1010, 1998, 11325, 16464, 7870, 1999, 22827, 18232, 2103, 2020, 6022, 10548, 2043, 4102, 2000, 10556, 12333, 16369, 7498, 1012, 3602, 2008, 1996, 3356, 5345, 1003, 20199, 1997, 1996, 15488, 2869, 2005, 2216, 16464, 7870, 1999, 22827, 18232, 2020, 2917, 1996, 8499, 1012, 1018, 1012, 6594, 1063, 1001, 10819, 2549, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 2556, 2817, 3662, 2008, 3901, 1999, 23066, 19417, 1011, 16985, 12717, 9759, 2181, 1010, 2284, 2379, 11047, 1012, 23066, 19417, 1010, 5281, 4659, 2152, 13356, 1997, 16464, 7870, 1010, 2164, 11192, 4456, 1998, 8872, 5104, 1012, 1996, 10862, 2152, 15488, 2099, 1997, 11192, 4456, 1999, 16985, 12717, 9759, 2076, 1996, 2972, 2558, 1997, 2256, 7778, 4106, 1006, 3380, 1011, 1011, 2526, 1007, 6083, 2146, 1011, 2744, 3896, 1997, 11047, 1012, 23066, 19417, 1010, 2029, 2038, 2468, 3161, 2296, 2184, 1011, 1011, 2382, 2086, 2058, 1996, 2197, 2531, 2086, 1012, 9530, 14876, 8630, 2075, 1997, 9422, 2003, 9832, 2426, 2308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1015, 1012, 2492, 1997, 1996, 11028, 2023, 11028, 14623, 2000, 3617, 9949, 4807, 3001, 1010, 1998, 2062, 3391, 2000, 4725, 2005, 25952, 2830, 1998, 7901, 4957, 10047, 26657, 2015, 1999, 3617, 9949, 4806, 3001, 1012, 1016, 1012, 6412, 1997, 3141, 2396, 9949, 4807, 3001, 10956, 2048, 1011, 2126, 4807, 2090, 1037, 29018, 1997, 4942, 29234, 2099, 4684, 2557, 3703, 2030, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 2278, 20357, 3238, 3197, 2595, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 1998, 1037, 4964, 2897, 6502, 1012, 4050, 1010, 1996, 9949, 3197, 10639, 2007, 1996, 4964, 2897, 6502, 3081, 1037, 29018, 1997, 4964, 2918, 3703, 1012, 27792, 3001, 2421, 2107, 4684, 12562, 7026, 3001, 2004, 2051, 2407, 3674, 3229, 1006, 14595, 2863, 1007, 1998, 3642, 2407, 3674, 3229, 1006, 3729, 2863, 1007, 3001, 1010, 1998, 6075, 2407, 3674, 3229, 1006, 1042, 22117, 2050, 1007, 3001, 1012, 1996, 7863, 1997, 2122, 3617, 9949, 4807, 3001, 2003, 2000, 3073, 4807, 6833, 2006, 5157, 2090, 1996, 9949, 3197, 1998, 1996, 2918, 3703, 1999, 2344, 2000, 7532, 1996, 9949, 3131, 5198, 2007, 1996, 4964, 2897, 6502, 1006, 2788, 1037, 17502, 1011, 2240, 2291, 1007, 1012, 9949, 3197, 4050, 10639, 2007, 2918, 3703, 2478, 1037, 4241, 19386, 2075, 5679, 2008, 4473, 2005, 1996, 3863, 1997, 2592, 1999, 2119, 7826, 1997, 4434, 1012, 21670, 2013, 1037, 2918, 2276, 2000, 1037, 9949, 3131, 2024, 4141, 3615, 2000, 2004, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 19797, 12384, 13767, 2595, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 21670, 1012, 21670, 2013, 1037, 9949, 3131, 2000, 1037, 2918, 2276, 2024, 4141, 3615, 2000, 2004, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 15569, 13767, 2595, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 21670, 1012, 1999, 3729, 2863, 1998, 1042, 22117, 2050, 4807, 3001, 1010, 1996, 2091, 13767, 2003, 4141, 3615, 2000, 2004, 1996, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 2278, 29278, 7652, 2595, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 4957, 1998, 1996, 2039, 13767, 2003, 4141, 3615, 2000, 2004, 1996, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 16748, 16070, 2595, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 4957, 1012, 1037, 2092, 1011, 2124, 3291, 1999, 12562, 4807, 3001, 2003, 2291, 2836, 16627, 3303, 2011, 4742, 3997, 10047, 26657, 2015, 1999, 1996, 2830, 1998, 7901, 6971, 1012, 2000, 10210, 28731, 2023, 3291, 1010, 12562, 4807, 2291, 11216, 3535, 2000, 5676, 2008, 4742, 4130, 6409, 25775, 2011, 1996, 7901, 6971, 2024, 5020, 2000, 2030, 3155, 5020, 2000, 2216, 25775, 2011, 1996, 2830, 6971, 1012, 2028, 2590, 2640, 7863, 2003, 2000, 5703, 1996, 2830, 1998, 7901, 6971, 1012, 6854, 1010, 2349, 2000, 8790, 3973, 5278, 2897, 3785, 2107, 2004, 2291, 10578, 1010, 13438, 5418, 28616, 18900, 8376, 1010, 5966, 1999, 13438, 12154, 1010, 1998, 2060, 3149, 8358, 1010, 10047, 26657, 2015, 2145, 5258, 1012, 1999, 12562, 4807, 3001, 2107, 2004, 3729, 2863, 1998, 1042, 22117, 2050, 1010, 2830, 1998, 7901, 4957, 10047, 26657, 2015, 2411, 3426, 26131, 2291, 2836, 1012, 3568, 1010, 20120, 1996, 2830, 1998, 7901, 6971, 2003, 1037, 2200, 2590, 2640, 3125, 1999, 9949, 3617, 4807, 3001, 1012, 4983, 1996, 6971, 2024, 12042, 1010, 2291, 2836, 2003, 26131, 1012, 2005, 2742, 1010, 2104, 5410, 7901, 4957, 3785, 1006, 1045, 1012, 1041, 1012, 1010, 1996, 7901, 4957, 2003, 15863, 2084, 1996, 2830, 4957, 1007, 9949, 3197, 3535, 2000, 3229, 2037, 3378, 2918, 3703, 2011, 11717, 3674, 3229, 15113, 2015, 2127, 2035, 1997, 1996, 3229, 15113, 2015, 2024, 9069, 1012, 2122, 3674, 3229, 4740, 2765, 1999, 3445, 3149, 11099, 2006, 1996, 7901, 4957, 1012, 2104, 5410, 2830, 4957, 3785, 1006, 1045, 1012, 1041, 1012, 1010, 1996, 2830, 4957, 2003, 15863, 2084, 1996, 7901, 4957, 1007, 9949, 3197, 2024, 4039, 2000, 4374, 9353, 2243, 19779, 3709, 21693, 4765, 7696, 2006, 2037, 3378, 2830, 6971, 1012, 8821, 1010, 1996, 9949, 3197, 2097, 2025, 13520, 2326, 1010, 17820, 4455, 1010, 4496, 6869, 2000, 2918, 2276, 4449, 1012, 6854, 1010, 4957, 10047, 26657, 2015, 2024, 27427, 2483, 17119, 3490, 3468, 2011, 1996, 3188, 2396, 9949, 3197, 1012, 8821, 1010, 1996, 3188, 2396, 9949, 3197, 8327, 6151, 2229, 7895, 3468, 5248, 1999, 1996, 3739, 1997, 4957, 10047, 26657, 2015, 1012, 2005, 2742, 1010, 1999, 1037, 5410, 7901, 4957, 4650, 1010, 1996, 3188, 2396, 9949, 3197, 2064, 2468, 5299, 2046, 1037, 3617, 5549, 1997, 3169, 2043, 1996, 3617, 2291, 2003, 1010, 1999, 2755, 1010, 20165, 2005, 2326, 1012, 2023, 5158, 2043, 1996, 9949, 3131, 8267, 1037, 2844, 4742, 2006, 1996, 2830, 4957, 6643, 4726, 3149, 1012, 2174, 1010, 1996, 7901, 4957, 2003, 5410, 1012, 2348, 1996, 9949, 3131, 2003, 4039, 2000, 4236, 2030, 21754, 4455, 2006, 1996, 7901, 4957, 1010, 2009, 7164, 2008, 3617, 2326, 2003, 2800, 2349, 2000, 1996, 2844, 6643, 4726, 3149, 4742, 1012, 3568, 1010, 2130, 2295, 2019, 4522, 11698, 2291, 2089, 2022, 2800, 1010, 1996, 4684, 2003, 5299, 2046, 1037, 11809, 3617, 5549, 1997, 3169, 1012, 2836, 2036, 2139, 24170, 2015, 2043, 1996, 7901, 4957, 2003, 6428, 2084, 1996, 2830, 4957, 1012, 2104, 2122, 3785, 1010, 1996, 9949, 3131, 2064, 10639, 2007, 1996, 2918, 2276, 1012, 2174, 1010, 2138, 1997, 1996, 4659, 5410, 2830, 4957, 1010, 1996, 9949, 3131, 3685, 11703, 11514, 5886, 1996, 2491, 2592, 11860, 2011, 1996, 2918, 2276, 1012, 1999, 2593, 11967, 1010, 4455, 2024, 20502, 13453, 2439, 1010, 1998, 2291, 2655, 6959, 6165, 2024, 4359, 1012, 1037, 2488, 4824, 1997, 1996, 2836, 3471, 2580, 2011, 4957, 10047, 26657, 2015, 2064, 2022, 4663, 2011, 4780, 15252, 3722, 2655, 4834, 4973, 1999, 1037, 3729, 2863, 4807, 2291, 1012, 3729, 2863, 2655, 4834, 4973, 1998, 3729, 2863, 2655, 2398, 20459, 2063, 16744, 7251, 1015, 1998, 1016, 2265, 3722, 2655, 4834, 4973, 2004, 2275, 5743, 1999, 1996, 12108, 3068, 2523, 1006, 27339, 1007, 12827, 8677, 1996, 3169, 1997, 3729, 2863, 9949, 3131, 1998, 2918, 2276, 3941, 1012, 1996, 27339, 12827, 2003, 4709, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 2278, 20357, 3238, 3131, 1011, 2918, 2276, 21778, 3115, 2005, 7037, 1011, 5549, 2898, 12733, 3659, 8674, 12562, 2291, 1010, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 27339, 1013, 1041, 2401, 1013, 2003, 1011, 5345, 1011, 1037, 1010, 2001, 2405, 1999, 2089, 2786, 2011, 1996, 12108, 3068, 2523, 1010, 1998, 2003, 3615, 2000, 2182, 10354, 3334, 2004, 1996, 2003, 1011, 5345, 12827, 1012, 2004, 2275, 5743, 1999, 1996, 2003, 1011, 5345, 12827, 1010, 7251, 1015, 1998, 1016, 3582, 1996, 2206, 12472, 1024, 2035, 7696, 2024, 2363, 2302, 7561, 1012, 24306, 1997, 7696, 2003, 2025, 3491, 1006, 3272, 1999, 1996, 2192, 7245, 4973, 1007, 1012, 13399, 8163, 2024, 2025, 3491, 1012, 11887, 27280, 8853, 2024, 2025, 3491, 1012, 11887, 2797, 2146, 3642, 22166, 2024, 2025, 3491, 1012, 2795, 1015, 3065, 1037, 3722, 2655, 4834, 2742, 16726, 1037, 9949, 3131, 16896, 1037, 2655, 1012, 7696, 2024, 11860, 2013, 1996, 9949, 3131, 2000, 1996, 2918, 2276, 2478, 1996, 3229, 3149, 1012, 7696, 2024, 11860, 2013, 1996, 2918, 2276, 2000, 1996, 9949, 3131, 2478, 1996, 6643, 4726, 3149, 1012, 2004, 3491, 1999, 2795, 1015, 1010, 1996, 9949, 3131, 2034, 11487, 2015, 1037, 5310, 1011, 7531, 2655, 1010, 1998, 2059, 10255, 2019, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 27108, 8004, 12758, 2595, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 4471, 3081, 1996, 3729, 2863, 3229, 3149, 1012, 1996, 3229, 3149, 2003, 1037, 10453, 3064, 6721, 3229, 3149, 1012, 1996, 9949, 3131, 19818, 2015, 2006, 1996, 3229, 3149, 2478, 1037, 6721, 3229, 7709, 1012, 2116, 11709, 1997, 1996, 6721, 3229, 7709, 2024, 8127, 2011, 1996, 2918, 2276, 1999, 2019, 3229, 11709, 4471, 1012, 1996, 2972, 2832, 1997, 23820, 2028, 4471, 1998, 4909, 1006, 2030, 7989, 2000, 4374, 1007, 2019, 13399, 3672, 2005, 2008, 4471, 2003, 2170, 2019, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 3540, 9468, 7971, 3535, 1012, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 2169, 6726, 1999, 1996, 3229, 3535, 2003, 2170, 2019, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 3540, 9468, 7971, 15113, 1012, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 2306, 2019, 3229, 3535, 1010, 3229, 15113, 2015, 2024, 15131, 2046, 3229, 15113, 10071, 1012, 2169, 3229, 15113, 5537, 8681, 1037, 4964, 2193, 1997, 3229, 15113, 2015, 1012, 1996, 2034, 3229, 15113, 1997, 2169, 3229, 15113, 5537, 2003, 11860, 2012, 1037, 9675, 2373, 2504, 5816, 2000, 1996, 15087, 2330, 7077, 2373, 2504, 1012, 2169, 4745, 3229, 15113, 2003, 11860, 2012, 1037, 2373, 2504, 2008, 2003, 1037, 9675, 3815, 3020, 2084, 1996, 3025, 3229, 15113, 1012, 2076, 3671, 3729, 2863, 3169, 1010, 2043, 1037, 9949, 3131, 5310, 17820, 2015, 1037, 3042, 2655, 1010, 1996, 9949, 3131, 10255, 2019, 3229, 15113, 2000, 1996, 2918, 2276, 1012, 2065, 1996, 2918, 2276, 7919, 8267, 1996, 3229, 15113, 1010, 1996, 9949, 3131, 2323, 4374, 2067, 2019, 13399, 3672, 2013, 1996, 2918, 2276, 1012, 2320, 1996, 9949, 3131, 8267, 1996, 13399, 3672, 1010, 1996, 9949, 3131, 2003, 10290, 2011, 1996, 2918, 2276, 2000, 3524, 1998, 2000, 2644, 6016, 2582, 3229, 15113, 2015, 2000, 1996, 2918, 2276, 1012, 2023, 2003, 4072, 2138, 2205, 2116, 3229, 15113, 2015, 2097, 3965, 6151, 2229, 7895, 3468, 11099, 2006, 1996, 4807, 3149, 1012, 1996, 9949, 3131, 3568, 18074, 2127, 2009, 2003, 4137, 1037, 4807, 3149, 2011, 1996, 2918, 2276, 1012, 2004, 3491, 1999, 2795, 1015, 1010, 1996, 2918, 2276, 15670, 1996, 9949, 3131, 1997, 1996, 3149, 8775, 2011, 6016, 1037, 3149, 8775, 4471, 3081, 1996, 6643, 4726, 3149, 1012, 2320, 1996, 9949, 3131, 8267, 2049, 3149, 8775, 2013, 1996, 2918, 2276, 1010, 2009, 3431, 2049, 4374, 1998, 19818, 13139, 2000, 1996, 4137, 3149, 1012, 1996, 9949, 3131, 2059, 4740, 2000, 17820, 4807, 2006, 1996, 4137, 3149, 2011, 7411, 2030, 1060, 2063, 2475, 2595, 17914, 2595, 2683, 6169, 18319, 3070, 2039, 2595, 2063, 2475, 2595, 17914, 2595, 2683, 2094, 1996, 4026, 3149, 1012, 2065, 1996, 4026, 3149, 3988, 3989, 2003, 3144, 1010, 1996, 9949, 3131, 2059, 9878, 2015, 1996, 4026, 3149, 1012, 1996, 9949, 3131, 2059, 4269, 6016, 1037, 4026, 3149, 3653, 3286, 3468, 1012, 2004, 3491, 1999, 2795, 1015, 1010, 1996, 2918, 2276, 9878, 2015, 1996, 7901, 4026, 3149, 1998, 10255, 1037, 2918, 2276, 13399, 3672, 2344, 2000, 1996, 9949, 3131, 2065, 1996, 7901, 4026, 3149, 2001, 7919, 3734, 1012, 2012, 2023, 2391, 1010, 1996, 9949, 3131, 1998, 1996, 2918, 2276, 4088, 18875, 2326, 1012, 1996, 4807, 4957, 2064, 8246, 2012, 2151, 2391, 2076, 2023, 19905, 2832, 1012, 2174, 1010, 2065, 1996, 19905, 2832, 2003, 3144, 1010, 4807, 22825, 2015, 1010, 1998, 1037, 7026, 4512, 22825, 2015, 1012, 2795, 1016, 3065, 1037, 3722, 2655, 4834, 2742, 16726, 1037, 9949, 3131, 28790, 1037, 2655, 1012, 2004, 3491, 1999, 2795, 1016, 1010, 2076, 3671, 3169, 1010, 2043, 1037, 2655, 2003, 7531, 2011, 1037, 2918, 2276, 1996, 2918, 2276, 10255, 1037, 3931, 2030, 10453, 3064, 3931, 4471, 2000, 1996, 9949, 3131, 3081, 1996, 6643, 4726, 3149, 1012, 1996, 9949, 3131, 2059, 10255, 1037, 3931, 3433, 4471, 2000, 1996, 2918, 2276, 3081, 1996, 3229, 3149, 1012, 1996, 2918, 2276, 2059, 21009, 1037, 4026, 3149, 1998, 4269, 6016, 19701, 4026, 3149, 2951, 2000, 1996, 9949, 3131, 1012, 1996, 2918, 2276, 2059, 10255, 1037, 3149, 8775, 4471, 2000, 1996, 9949, 3131, 3081, 1996, 6643, 4726, 3149, 1012, 2004, 2649, 2682, 2007, 4431, 2000, 2795, 1015, 1010, 2320, 1996, 9949, 3131, 8267, 2049, 3149, 8775, 2013, 1996, 2918, 2276, 1010, 2009, 3431, 2049, 4374, 1998, 19818, 13139, 2000, 1996, 4137, 3149, 1012, 1996, 9949, 3131, 2059, 4740, 2000, 17820, 4807, 2006, 1996, 4137, 3149, 2011, 4292, 2039, 1996, 4026, 3149, 1012, 2004, 2077, 1010, 2065, 1996, 4026, 3149, 3988, 3989, 2003, 3144, 1010, 1996, 9949, 3131, 9878, 2015, 1996, 4026, 3149, 1998, 6194, 3078, 4026, 1012, 2574, 6920, 1010, 2065, 1996, 4807, 19905, 2003, 3144, 1010, 4807, 22825, 2015, 3081, 1996, 2830, 1998, 7901, 3149, 3940, 1012, 2007, 1996, 2655, 4834, 4973, 1999, 2568, 1010, 2009, 2003, 2085, 2825, 2000, 2062, 3929, 6235, 1996, 3471, 2580, 2011, 4957, 10047, 26657, 2015, 1999, 1037, 12562, 4807, 2291, 1012, 2655, 6959, 15428, 2349, 2000, 4957, 10047, 26657, 2015, 2104, 2070, 2897, 3785, 1010, 1996, 2830, 4957, 2003, 15734, 2081, 6428, 2084, 1996, 7901, 4957, 4525, 1999, 2019, 3668, 3729, 2863, 2830, 4957, 6325, 2181, 1012, 1999, 2752, 2007, 8581, 11698, 4442, 1010, 2009, 2003, 2825, 2005, 1037, 7037, 5549, 9949, 3131, 2000, 4374, 1037, 9398, 4742, 2006, 1996, 3729, 2863, 6643, 4726, 3149, 2096, 1999, 1996, 11698, 6325, 2181, 1012, 2004, 2649, 2682, 1010, 2023, 5320, 1996, 9949, 3131, 2000, 5843, 2046, 1037, 3617, 1006, 1999, 2023, 2553, 1010, 3729, 2863 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1053, 1024, 1039, 1001, 1024, 4629, 2094, 2595, 1011, 4009, 3937, 3340, 1996, 3277, 1045, 1005, 2310, 2042, 6575, 2005, 2019, 3437, 2000, 2023, 3277, 2005, 1037, 2261, 2420, 2085, 1012, 1045, 2342, 2393, 4531, 1037, 2126, 2000, 9699, 1037, 3937, 2732, 1012, 1045, 2031, 1996, 3642, 2000, 18154, 9699, 1996, 5269, 2589, 1025, 2174, 1010, 1045, 2572, 2047, 2000, 3622, 2595, 1998, 2234, 2013, 1996, 2088, 1997, 1060, 2532, 1998, 8499, 1012, 3622, 2595, 2458, 3849, 15241, 1011, 8552, 2012, 1996, 2190, 1997, 2335, 1012, 1045, 2031, 2179, 1037, 2261, 14924, 26340, 1010, 2021, 1010, 1045, 2572, 4531, 2068, 3697, 2000, 3582, 1012, 1045, 2031, 2042, 4039, 2000, 17552, 2505, 2000, 1996, 3898, 2320, 1045, 1005, 2310, 5985, 2009, 1012, 1045, 1005, 1049, 2478, 1996, 3937, 16437, 2004, 2521, 2004, 14259, 3632, 1010, 1045, 4033, 1005, 1056, 2580, 2151, 2569, 4280, 2030, 2358, 6820, 16649, 1012, 1045, 2031, 2042, 2667, 2000, 3582, 1996, 2957, 1005, 1055, 4007, 14924, 26340, 2008, 2020, 4991, 2000, 1039, 1001, 2013, 1039, 1009, 1009, 1999, 1996, 2338, 7605, 2208, 4730, 2007, 3622, 2595, 2340, 2011, 3581, 1040, 1012, 12909, 1012, 1996, 2521, 20515, 1045, 2031, 2042, 2583, 2000, 5147, 3143, 2001, 8430, 2000, 3609, 1012, 9781, 14156, 16558, 5657, 1012, 3160, 1006, 1055, 1007, 2024, 2045, 2151, 21934, 24759, 6553, 4725, 2000, 4009, 1013, 17552, 5200, 2000, 1996, 3898, 1010, 1045, 1005, 1049, 2583, 2000, 17552, 3793, 2074, 2986, 1010, 2021, 4871, 1006, 11867, 28884, 1007, 1998, 7605, 20437, 2229, 4025, 2000, 2022, 3228, 2033, 3314, 1012, 2003, 2045, 1037, 21934, 24759, 6553, 4118, 2000, 4009, 3937, 14965, 10466, 1029, 2005, 2742, 1024, 10968, 2015, 1012, 9891, 27921, 2063, 1006, 14257, 12177, 1010, 9207, 2509, 3295, 1010, 3609, 1039, 1007, 1025, 2065, 2045, 4995, 1005, 1056, 2151, 21934, 24759, 6553, 4725, 2800, 2000, 4009, 10968, 2015, 1010, 2054, 2003, 2183, 2000, 2022, 1996, 21304, 3921, 2000, 14259, 3340, 1029, 1045, 2064, 2079, 19885, 1010, 11867, 28884, 2007, 6541, 23293, 2000, 26633, 3292, 1010, 4908, 2015, 1010, 4385, 1012, 2054, 2097, 2022, 1996, 21304, 4118, 2000, 10408, 1029, 2129, 2079, 1045, 10408, 1996, 21304, 4118, 3936, 2011, 3160, 1016, 2682, 1029, 3642, 8168, 1010, 14924, 26340, 1006, 2053, 6876, 1007, 1010, 4790, 1010, 4385, 1012, 2024, 6551, 12315, 2004, 1045, 2572, 2383, 1037, 2524, 2051, 9651, 2091, 2204, 1039, 1001, 7604, 1010, 2009, 2052, 3711, 2008, 2087, 2024, 16911, 8499, 1998, 4895, 22852, 2122, 2420, 1010, 2021, 1045, 2123, 1005, 1056, 2031, 2216, 7047, 1012, 3964, 1045, 2147, 1999, 1037, 2231, 4044, 1998, 2572, 4039, 2000, 16462, 2353, 2283, 5906, 2008, 4033, 1005, 1056, 2042, 4844, 1012, 1996, 6226, 2832, 2003, 1037, 10103, 2061, 2353, 2283, 5906, 2024, 4050, 1037, 2053, 2175, 1012, 2035, 8127, 6998, 1010, 12653, 1010, 8168, 1010, 4385, 1012, 2323, 2022, 9975, 16911, 4629, 2094, 2595, 1012, 2026, 3642, 2026, 2622, 2003, 1037, 3645, 22694, 29098, 19341, 9956, 2078, 2073, 1996, 3078, 2433, 2038, 2042, 5173, 2013, 17552, 14192, 1012, 1045, 2031, 2580, 1037, 2309, 2465, 2170, 3194, 2008, 16024, 1996, 3622, 2595, 3642, 1012, 3194, 1012, 20116, 1024, 4722, 2465, 3194, 1024, 8909, 2483, 6873, 19150, 1063, 1001, 2555, 4249, 2797, 5080, 5080, 1025, 2797, 19948, 24925, 2078, 19948, 24925, 2078, 1025, 2797, 5080, 8663, 18209, 6123, 1025, 2797, 14902, 2475, 2094, 2067, 8569, 12494, 1025, 2797, 17552, 7559, 18150, 8584, 17552, 8584, 1025, 2797, 26351, 8093, 10698, 9276, 8663, 18209, 26351, 8663, 18209, 1025, 1001, 2203, 23784, 1001, 2555, 2824, 2270, 2724, 2724, 11774, 3917, 4009, 1025, 2270, 2724, 2724, 11774, 3917, 10651, 1025, 2797, 11675, 4604, 7265, 2860, 1006, 4874, 2951, 1007, 1063, 4009, 1006, 2023, 1010, 2047, 2724, 2906, 5620, 1006, 1007, 1007, 1025, 1065, 2797, 11675, 4604, 6279, 13701, 1006, 4874, 2951, 1007, 1063, 10651, 1006, 2023, 1010, 2047, 2724, 2906, 5620, 1006, 1007, 1007, 1025, 1065, 1001, 2203, 23784, 1001, 2555, 9570, 2953, 1006, 1055, 1007, 2270, 3194, 1006, 17552, 14192, 2433, 1007, 1063, 19948, 24925, 13629, 22483, 3258, 6412, 1027, 2047, 19948, 24925, 13629, 22483, 3258, 1006, 1007, 1063, 5549, 6155, 23235, 3258, 1027, 2047, 5549, 6155, 23235, 3258, 1006, 2433, 1012, 9381, 1010, 2433, 1012, 4578, 1010, 2047, 11581, 1006, 3438, 1010, 1015, 1007, 1010, 4289, 1012, 1054, 2620, 2290, 2620, 2497, 2620, 2050, 2620, 1035, 27776, 10867, 1007, 1010, 18925, 2229, 23235, 3258, 1027, 2047, 18925, 2229, 23235, 3258, 1006, 1015, 1010, 1014, 1007, 1010, 8192, 1027, 8192, 1012, 17552, 7559, 18150, 5833, 18780, 1010, 17698, 3597, 16671, 1027, 1015, 1010, 6434, 11774, 2571, 1027, 2433, 1012, 5047, 1010, 2003, 11101, 15096, 1027, 999, 2433, 1012, 2003, 3993, 4877, 24410, 1065, 1025, 5080, 1012, 3443, 24415, 26760, 9331, 24925, 2078, 1006, 4062, 13874, 1012, 8051, 1010, 5080, 16748, 3370, 10258, 26454, 1012, 2139, 8569, 2290, 1010, 6412, 1010, 2041, 5080, 1010, 2041, 19948, 24925, 2078, 1007, 1025, 2067, 8569, 12494, 1027, 7692, 1012, 2013, 26760, 9331, 24925, 2078, 1026, 14902, 2475, 2094, 1028, 1006, 19948, 24925, 2078, 1010, 1014, 1007, 1025, 17552, 8584, 1027, 2047, 17552, 7559, 18150, 8584, 1006, 5080, 1010, 2067, 8569, 12494, 1007, 1025, 6123, 1027, 5080, 1012, 6234, 8663, 18209, 1025, 6123, 1012, 6434, 5017, 4590, 1012, 2275, 7389, 4063, 7559, 18150, 2015, 1006, 17552, 8584, 1007, 1025, 6123, 1012, 20710, 3334, 17629, 1012, 2275, 8584, 6442, 1006, 2047, 3193, 6442, 1006, 1014, 1010, 1014, 1010, 2433, 1012, 9381, 1010, 2433, 1012, 4578, 1007, 1007, 1025, 17552, 14192, 1027, 2433, 1025, 1065, 1001, 2203, 23784, 1001, 2555, 2270, 4725, 2270, 11675, 3988, 4697, 1006, 1007, 1063, 2065, 1006, 26351, 8093, 10698, 9276, 8663, 18209, 1012, 2783, 999, 1027, 19701, 1007, 26351, 8663, 18209, 1027, 26351, 8093, 10698, 9276, 8663, 18209, 1012, 2783, 1025, 2842, 26351, 8663, 18209, 1027, 2047, 26351, 8093, 10698, 9276, 8663, 18209, 1006, 1007, 1025, 17552, 4135, 7361, 1012, 2448, 1006, 17552, 14192, 1010, 11849, 1006, 1007, 1063, 6123, 1012, 3154, 7389, 4063, 7559, 18150, 8584, 1006, 17552, 8584, 1010, 3609, 1012, 9781, 14156, 16558, 5657, 1007, 1025, 26351, 8663, 18209, 1012, 4604, 1006, 4604, 6279, 13701, 1010, 19701, 1007, 1025, 26351, 8663, 18209, 1012, 4604, 1006, 4604, 7265, 2860, 1010, 19701, 1007, 1025, 19948, 24925, 2078, 1012, 2556, 1006, 1014, 1010, 1014, 1007, 1025, 1065, 1007, 1025, 1065, 2270, 11675, 27764, 1006, 1007, 1063, 1065, 1001, 2203, 23784, 1065, 2433, 2487, 1012, 20116, 1024, 2270, 7704, 2465, 2433, 2487, 1024, 17552, 14192, 1063, 2797, 3194, 2208, 13159, 3170, 1025, 20014, 4175, 1027, 1014, 1025, 2270, 2433, 2487, 1006, 1007, 1063, 3988, 4697, 9006, 29513, 3372, 1006, 1007, 1025, 2208, 13159, 3170, 1027, 2047, 3194, 1006, 2023, 1007, 1025, 2208, 13159, 3170, 1012, 10651, 1009, 1027, 2208, 13159, 3170, 1035, 10651, 1025, 2208, 13159, 3170, 1012, 4009, 1009, 1027, 2208, 13159, 3170, 1035, 4009, 1025, 2208, 13910, 19105, 1012, 3988, 4697, 1006, 1007, 1025, 1065, 2797, 11675, 2208, 13159, 3170, 1035, 10651, 1006, 4874, 4604, 2121, 1010, 2724, 2906, 5620, 1041, 1007, 1027, 1028, 2139, 8569, 2290, 1012, 4339, 4179, 1006, 1000, 7172, 1012, 1000, 1007, 1025, 2797, 11675, 2208, 13159, 3170, 1035, 4009, 1006, 4874, 4604, 2121, 1010, 2724, 2906, 5620, 1041, 1007, 1027, 1028, 2139, 8569, 2290, 1012, 4339, 4179, 1006, 1002, 1000, 1045, 1005, 2310, 4567, 1063, 1009, 1009, 4175, 1065, 2335, 1012, 1000, 1007, 1025, 1065, 2345, 12629, 2151, 2393, 2003, 12315, 2012, 2023, 2391, 2138, 2049, 2183, 2006, 2154, 1018, 1998, 1045, 2572, 2145, 8084, 2000, 3305, 2087, 1997, 1996, 3622, 2595, 2340, 3642, 1012, 1045, 2572, 2011, 2053, 2965, 2047, 2000, 1039, 1001, 2030, 2458, 1025, 1045, 2572, 2074, 2109, 2000, 3645, 3596, 1010, 2004, 2361, 1012, 5658, 1010, 8499, 1010, 1060, 2532, 1010, 1059, 14376, 1010, 4385, 1012, 2023, 2003, 2026, 2034, 3325, 2007, 3622, 2595, 1998, 2049, 5791, 2058, 1996, 2327, 1012, 2130, 4788, 2084, 2043, 1045, 2699, 2330, 23296, 2702, 2086, 3283, 2007, 6684, 2151, 2458, 3325, 2012, 2035, 1012, 1037, 1024, 2261, 2477, 2000, 2707, 2007, 1012, 2034, 1010, 3622, 2595, 2003, 1037, 2200, 2659, 2504, 17928, 1012, 1996, 2069, 2126, 2000, 2131, 1037, 2896, 2504, 17928, 2006, 3645, 2003, 2000, 2175, 2831, 2000, 1996, 8389, 4062, 3495, 1010, 2029, 2052, 2022, 2130, 2062, 1997, 1037, 10103, 1012, 2004, 1037, 2765, 1010, 2477, 7166, 2000, 2022, 5186, 12391, 1010, 2029, 4473, 2005, 2152, 16991, 2012, 1996, 3465, 1997, 2108, 7199, 8552, 1012, 2065, 2017, 2412, 4999, 2054, 8499, 2030, 4895, 22852, 2020, 2725, 2104, 1996, 7415, 1010, 2023, 2003, 2009, 1012, 2117, 1010, 3622, 2595, 1010, 1998, 3622, 29097, 1999, 3327, 1010, 2003, 2517, 1999, 1998, 2005, 1039, 1009, 1009, 1012, 1039, 1001, 4219, 2024, 2524, 2000, 2272, 2011, 2138, 1996, 17928, 2347, 1005, 1056, 2428, 3832, 2005, 2224, 2013, 1039, 1001, 1006, 2025, 2008, 2008, 1005, 1055, 1037, 2204, 2518, 1007, 1012, 2004, 1037, 2765, 1010, 5860, 29154, 1996, 12653, 1998, 6998, 2517, 2005, 1039, 1009, 1009, 2003, 1037, 2428, 2919, 2801, 1012, 2035, 1996, 5430, 11149, 1998, 9259, 2006, 1996, 1039, 1009, 1009, 17928, 2036, 6611, 2000, 2017, 1999, 1996, 1039, 1001, 2088, 1010, 1998, 2017, 2097, 2342, 2000, 2113, 2068, 1012, 2353, 1010, 1045, 2097, 2025, 2022, 2583, 2000, 3073, 2017, 2019, 4498, 1039, 1001, 1013, 4629, 2094, 2595, 3437, 1010, 2144, 1045, 2123, 1005, 1056, 2224, 3622, 2595, 2013, 1039, 1001, 1010, 2021, 2013, 1039, 1009, 1009, 1012, 1045, 1005, 2222, 2079, 2054, 1045, 2064, 2000, 3073, 8321, 12375, 2015, 1010, 2021, 2022, 5204, 2017, 2024, 2478, 2019, 17928, 10236, 4842, 1010, 2029, 2064, 1998, 2097, 5342, 2070, 1997, 1996, 4751, 2013, 2017, 1012, 2190, 5724, 2000, 7523, 2216, 4751, 2052, 2022, 2000, 2031, 1996, 3120, 3642, 1997, 4629, 2094, 2595, 2039, 2004, 2017, 2175, 2083, 1996, 1039, 1009, 1009, 12653, 1012, 2085, 2006, 2000, 1996, 3980, 2017, 2031, 1012, 16195, 1999, 1010, 2023, 2097, 2022, 2146, 1012, 2034, 2039, 1024, 2045, 1005, 1055, 2053, 3722, 2126, 2000, 17552, 1037, 10968, 4874, 1999, 3622, 29097, 2340, 1012, 14259, 1037, 2416, 4320, 14291, 2038, 1996, 2168, 4084, 2004, 14259, 1037, 3263, 2454, 19449, 20437, 1997, 2047, 2259, 2103, 1012, 1999, 1996, 14259, 7077, 1010, 2057, 2342, 2000, 2079, 2195, 4506, 2000, 17552, 2505, 1012, 1999, 2023, 2862, 1010, 2017, 1005, 2310, 2525, 2589, 3357, 1015, 1998, 1021, 1010, 1998, 6822, 2589, 3357, 1016, 1024, 3154, 1996, 2067, 17698, 1998, 5995, 1013, 26261, 12273, 4014, 17698, 2015, 1012, 2275, 1996, 7953, 9621, 1010, 8703, 2869, 1010, 13117, 2110, 5200, 1010, 17552, 7889, 1010, 1998, 3193, 25378, 2109, 1999, 1996, 2783, 14259, 3413, 1012, 2275, 1996, 19449, 17698, 1010, 5950, 17698, 1010, 5377, 17698, 2015, 1010, 8703, 2099, 4219, 1998, 7099, 2869, 2109, 2011, 1996, 2783, 20437, 2108, 4567, 1012, 3277, 1996, 4009, 2655, 2005, 1996, 2445, 20437, 1012, 9377, 4084, 1017, 1998, 1018, 2005, 2035, 20437, 2229, 2008, 2442, 2022, 4567, 1999, 1996, 2783, 14259, 3413, 1012, 9377, 4084, 1016, 2083, 1019, 2005, 2035, 5235, 4225, 2011, 1996, 4646, 1012, 2556, 1996, 19948, 4677, 1012, 7199, 3375, 1010, 2074, 2000, 17552, 2242, 2004, 3722, 2004, 1037, 14291, 1012, 2023, 2832, 3791, 2195, 5200, 1010, 1997, 2029, 2057, 2525, 2031, 1037, 2261, 1024, 1037, 5080, 4874, 6013, 1010, 2005, 4526, 2047, 1040, 29097, 5200, 1037, 5080, 8663, 18209, 4874, 6013, 1010, 2005, 15089, 5059, 3136, 1998, 4292, 13117, 2110, 1037, 1040, 2595, 5856, 1012, 19948, 24925, 2078, 4874, 6013, 1010, 2000, 6133, 1996, 2067, 17698, 1006, 1055, 1007, 1998, 2556, 1996, 2279, 17698, 1999, 1996, 4677, 2000, 1996, 15363, 1037, 14902, 2475, 2094, 4874, 6013, 1010, 2000, 5050, 1996, 2067, 17698, 3079, 2011, 1996, 19948, 4677, 1037, 17552, 7559, 18150, 8584, 4874, 6013, 1010, 2000, 3499, 1996, 8389, 4003, 2000, 2224, 1037, 14902, 2004, 1996, 7688, 2005, 1037, 14259, 3169, 1037, 11143, 6528, 6895, 2140, 8584, 4874, 6013, 1010, 2065, 2057, 1005, 2128, 2024, 2478, 1996, 5995, 17698, 19449, 7377, 4063, 1998, 27725, 16102, 2121, 4874, 12107, 1010, 5052, 1996, 8703, 2869, 2109, 2011, 1996, 14246, 2226, 2076, 1996, 19449, 1998, 22138, 8703, 2099, 5711, 1997, 1996, 8389, 13117, 2019, 7953, 8485, 5833, 4874, 6013, 1010, 5052, 1996, 6635, 9621, 1997, 2028, 19449, 1999, 2256, 19449, 17698, 1037, 2275, 1997, 17698, 4874, 12107, 1010, 5052, 1996, 19449, 17698, 2015, 1998, 5950, 17698, 2015, 4820, 2256, 10988, 1998, 1996, 5377, 17698, 2015, 4820, 11709, 2005, 2256, 8703, 2869, 1037, 2275, 1997, 14902, 2475, 2094, 4874, 12107, 2007, 3378, 8703, 14343, 6499, 3126, 3401, 8584, 4874, 12107, 1010, 5052, 2151, 29343, 2030, 3302, 7341, 2000, 2022, 4162, 2000, 2256, 10988, 1037, 2275, 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, 1053, 1024, 11924, 22724, 3406, 4747, 8237, 1013, 10439, 8237, 8485, 5833, 17186, 2369, 3570, 3347, 9164, 2327, 11687, 4667, 1045, 1005, 1040, 2066, 2000, 2224, 10669, 23943, 29337, 2102, 1010, 10439, 8237, 8485, 5833, 1998, 22724, 3406, 4747, 8237, 8485, 5833, 2000, 3443, 1037, 9621, 2008, 12950, 1996, 2917, 2742, 2013, 8224, 8094, 1012, 1996, 3145, 2477, 1045, 1005, 1049, 2667, 2000, 28024, 1024, 28903, 1996, 4180, 2369, 1996, 3570, 3347, 8352, 8413, 2012, 1996, 2327, 1997, 1996, 17186, 11661, 2438, 2282, 2012, 1996, 2327, 1997, 1996, 3898, 2005, 1996, 20346, 2000, 2025, 2298, 18794, 2098, 1996, 3160, 8224, 8094, 3544, 2000, 2022, 3652, 1996, 17186, 11661, 2004, 1996, 5310, 23074, 1012, 2129, 2052, 1045, 2175, 2055, 2725, 2023, 2030, 2242, 2714, 2000, 6162, 1996, 2298, 1045, 1005, 1049, 2044, 1029, 1045, 1005, 2310, 2404, 2362, 1037, 4248, 2742, 1997, 2054, 1045, 1005, 1049, 2667, 2000, 3857, 1024, 4023, 1035, 28903, 1012, 20950, 1026, 11924, 2595, 1012, 10669, 8485, 5833, 1012, 15536, 24291, 1012, 10669, 8485, 5833, 20950, 3619, 1024, 11924, 1027, 1000, 8299, 1024, 1013, 1013, 8040, 28433, 2015, 1012, 11924, 1012, 4012, 1013, 9706, 2243, 1013, 24501, 1013, 11924, 1000, 20950, 3619, 1024, 10439, 1027, 1000, 8299, 1024, 1013, 1013, 8040, 28433, 2015, 1012, 11924, 1012, 4012, 1013, 9706, 2243, 1013, 24501, 1011, 8285, 1000, 20950, 3619, 1024, 5906, 1027, 1000, 8299, 1024, 1013, 1013, 8040, 28433, 2015, 1012, 11924, 1012, 4012, 1013, 5906, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 2019, 21499, 8485, 5833, 22305, 2229, 1027, 1000, 2995, 1000, 5906, 1024, 6123, 1027, 1000, 2866, 1012, 2522, 1012, 2742, 29098, 19341, 3508, 1012, 28903, 18908, 7730, 1000, 1028, 1026, 4012, 1012, 8224, 1012, 11924, 1012, 3430, 1012, 10439, 8237, 1012, 10439, 8237, 8485, 5833, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 10439, 1035, 3347, 1035, 9621, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 10236, 1035, 4180, 1000, 1028, 1026, 4012, 1012, 8224, 1012, 11924, 1012, 3430, 1012, 10439, 8237, 1012, 22724, 3406, 4747, 8237, 8485, 5833, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 22724, 1035, 6994, 8237, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 2674, 1035, 6687, 1000, 10439, 1024, 9621, 1035, 17186, 10258, 26454, 1027, 1000, 17186, 1064, 6164, 16671, 4014, 26895, 9331, 6924, 1000, 1028, 1026, 2421, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 3913, 1035, 20346, 1000, 9621, 1027, 1000, 1030, 9621, 1013, 9621, 1035, 20346, 1000, 1013, 1028, 1026, 1013, 4012, 1012, 8224, 1012, 11924, 1012, 3430, 1012, 10439, 8237, 1012, 22724, 3406, 4747, 8237, 8485, 5833, 1028, 1026, 11924, 2595, 1012, 27142, 8485, 5833, 1012, 15536, 24291, 1012, 27142, 8485, 5833, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 4281, 1027, 1000, 1030, 4009, 3085, 1013, 17186, 1035, 20346, 1035, 4281, 1000, 11924, 1024, 6678, 1027, 1000, 2385, 18927, 1000, 11924, 1024, 11687, 4667, 18384, 20389, 1027, 1000, 2260, 18927, 1000, 1028, 1026, 3793, 8584, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 2930, 3775, 9286, 18209, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 9621, 1035, 17034, 7559, 2102, 1027, 1000, 2385, 18927, 1000, 11924, 1024, 9621, 1035, 7785, 14399, 1027, 1000, 3590, 18927, 1000, 11924, 1024, 3793, 1027, 1000, 2516, 1000, 10439, 1024, 9621, 1035, 14679, 7559, 2102, 1035, 2000, 14117, 3406, 2546, 1027, 1000, 6687, 1000, 10439, 1024, 9621, 1035, 27142, 14399, 1035, 2000, 14399, 11253, 1027, 1000, 6687, 1000, 1013, 1028, 1026, 6462, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 11307, 1035, 6462, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 9621, 1035, 7785, 14399, 1027, 1000, 2570, 18927, 1000, 11924, 1024, 9621, 1035, 7785, 10497, 1027, 1000, 2385, 18927, 1000, 11924, 1024, 3793, 1027, 1000, 6462, 1000, 10439, 1024, 9621, 1035, 27142, 10497, 1035, 11756, 15482, 2546, 1027, 1000, 6687, 1000, 10439, 1024, 9621, 1035, 27142, 14399, 1035, 2000, 14399, 11253, 1027, 1000, 6687, 1000, 1013, 1028, 1026, 1013, 11924, 2595, 1012, 27142, 8485, 5833, 1012, 15536, 24291, 1012, 27142, 8485, 5833, 1028, 1026, 1013, 4012, 1012, 8224, 1012, 11924, 1012, 3430, 1012, 10439, 8237, 1012, 10439, 8237, 8485, 5833, 1028, 1026, 11924, 2595, 1012, 4563, 1012, 15536, 24291, 1012, 9089, 2098, 11020, 28402, 8584, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 2674, 1035, 6687, 1000, 10439, 1024, 9621, 1035, 5248, 1027, 1000, 1030, 5164, 1013, 10439, 8237, 1035, 28903, 1035, 3193, 1035, 5248, 1000, 5906, 1024, 6123, 1027, 1000, 1012, 28903, 18908, 7730, 1000, 5906, 1024, 2265, 2378, 1027, 1000, 1030, 9621, 1013, 4023, 1035, 28903, 1000, 1028, 1026, 3793, 8584, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 9621, 1035, 7785, 1027, 1000, 1030, 27211, 2078, 1013, 3793, 1035, 7785, 1000, 11924, 1024, 3793, 1027, 1000, 1030, 5164, 1013, 2312, 1035, 3793, 1000, 1013, 1028, 1026, 1013, 11924, 2595, 1012, 4563, 1012, 15536, 24291, 1012, 9089, 2098, 11020, 28402, 8584, 1028, 1026, 1013, 11924, 2595, 1012, 10669, 8485, 5833, 1012, 15536, 24291, 1012, 10669, 8485, 5833, 1028, 9621, 1035, 20346, 1012, 20950, 1026, 1029, 20950, 2544, 1027, 1000, 1015, 1012, 1014, 1000, 17181, 1027, 1000, 21183, 2546, 1011, 1022, 1000, 1029, 1028, 1026, 11924, 2595, 1012, 27142, 8485, 5833, 1012, 15536, 24291, 1012, 27142, 8485, 5833, 20950, 3619, 1024, 11924, 1027, 1000, 8299, 1024, 1013, 1013, 8040, 28433, 2015, 1012, 11924, 1012, 4012, 1013, 9706, 2243, 1013, 24501, 1013, 11924, 1000, 20950, 3619, 1024, 10439, 1027, 1000, 8299, 1024, 1013, 1013, 8040, 28433, 2015, 1012, 11924, 1012, 4012, 1013, 9706, 2243, 1013, 24501, 1011, 8285, 1000, 20950, 3619, 1024, 5906, 1027, 1000, 8299, 1024, 1013, 1013, 8040, 28433, 2015, 1012, 11924, 1012, 4012, 1013, 5906, 1000, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 20346, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 10296, 1027, 1000, 7471, 1000, 11924, 1024, 11687, 4667, 16368, 10993, 12162, 2389, 1027, 1000, 2385, 18927, 1000, 11924, 1024, 11687, 4667, 14399, 1027, 1000, 3438, 18927, 1000, 11924, 1024, 11687, 4667, 18384, 20389, 1027, 1000, 2871, 18927, 1000, 10439, 1024, 9621, 1035, 7859, 5302, 3207, 1027, 1000, 11498, 4571, 2595, 1000, 5906, 1024, 8568, 1027, 1000, 2524, 16044, 11927, 10288, 2102, 1000, 1028, 1026, 3793, 8584, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 2516, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 2484, 18927, 1000, 11924, 1024, 9621, 1035, 7785, 14399, 1027, 1000, 1022, 18927, 1000, 11924, 1024, 9621, 1035, 7785, 10497, 1027, 1000, 2385, 18927, 1000, 11924, 1024, 3793, 1027, 1000, 2516, 1000, 11924, 1024, 3793, 18717, 1027, 1000, 1001, 21461, 2546, 1000, 11924, 1024, 6981, 4697, 1027, 1000, 27074, 2361, 1000, 10439, 1024, 9621, 1035, 14679, 7559, 2102, 1035, 2000, 14117, 3406, 2546, 1027, 1000, 6687, 1000, 10439, 1024, 9621, 1035, 27142, 14399, 1035, 2000, 14399, 11253, 1027, 1000, 6687, 1000, 1013, 1028, 1026, 3793, 8584, 11924, 1024, 8909, 1027, 1000, 1030, 1009, 8909, 1013, 4942, 3775, 9286, 1000, 11924, 1024, 9621, 1035, 9381, 1027, 1000, 2674, 1035, 6687, 1000, 11924, 1024, 9621, 1035, 4578, 1027, 1000, 10236, 1035, 4180, 1000, 11924, 1024, 3793, 1027, 1000, 4942, 3775, 9286, 1000, 11924, 1024, 3793, 18717, 1027, 1000, 1001, 21461, 2546, 1000, 11924, 1024, 6981, 4697, 1027, 1000, 2385, 13102, 1000, 10439, 1024, 9621, 1035, 27142, 16368, 10993, 12162, 2389, 1035, 13827, 1027, 1000, 1014, 1012, 1014, 1000, 10439, 1024, 9621, 1035, 14679, 7559, 2102, 1035, 2000, 14117, 3406, 2546, 1027, 1000, 6687, 1000, 10439, 1024, 9621, 1035, 27142, 14399, 1035, 2000, 18384, 20389, 11253, 1027, 1000, 1030, 1009, 8909, 1013, 2516, 1000, 1013, 1028, 1026, 1013, 11924, 2595, 1012, 27142, 8485, 5833, 1012, 15536, 24291, 1012, 27142, 8485, 5833, 1028, 17186, 1035, 20346, 1035, 4281, 1012, 20950, 1026, 1029, 20950, 2544, 1027, 1000, 1015, 1012, 1014, 1000, 17181, 1027, 1000, 21183, 2546, 1011, 1022, 1000, 1029, 1028, 1026, 4338, 20950, 3619, 1024, 11924, 1027, 1000, 8299, 1024, 1013, 1013, 8040, 28433, 2015, 1012, 11924, 1012, 4012, 1013, 9706, 2243, 1013, 24501, 1013, 11924, 1000, 11924, 1024, 4338, 1027, 1000, 28667, 23395, 1000, 1028, 1026, 8413, 11924, 1024, 3953, 2571, 6199, 12173, 4173, 1027, 1000, 1014, 18927, 1000, 11924, 1024, 3953, 15950, 12173, 4173, 1027, 1000, 1014, 18927, 1000, 11924, 1024, 2327, 2571, 6199, 12173, 4173, 1027, 1000, 2322, 18927, 1000, 11924, 1024, 2327, 15950, 12173, 4173, 1027, 1000, 2322, 18927, 1000, 1013, 1028, 1026, 5024, 11924, 1024, 3609, 1027, 1000, 1001, 21461, 4246, 4246, 1000, 1013, 1028, 1026, 2946, 11924, 1024, 9381, 1027, 1000, 4185, 18927, 1000, 11924, 1024, 4578, 1027, 1000, 4185, 18927, 1000, 1013, 1028, 1026, 1013, 4338, 1028, 2026, 3535, 2003, 2443, 2917, 1012, 1996, 20346, 23074, 2369, 1996, 6994, 8237, 2004, 9059, 2021, 1045, 1005, 1040, 2066, 2070, 3176, 2327, 11687, 4667, 2682, 2026, 5328, 1006, 2055, 1996, 4578, 1997, 1996, 2327, 16021, 3388, 1013, 3570, 3347, 2052, 2022, 7182, 1007, 1012, 8224, 8094, 3544, 2000, 2022, 13729, 2023, 2011, 2383, 1996, 11661, 4982, 2004, 1996, 5310, 23074, 1012, 1037, 1024, 10408, 2019, 10439, 8237, 8485, 5833, 1012, 21058, 21807, 3388, 22305, 2098, 9863, 24454, 2008, 2097, 14171, 2327, 11687, 4667, 2006, 1996, 27142, 8485, 5833, 2008, 4324, 1996, 3793, 8584, 1998, 1996, 6462, 1012, 1006, 2655, 2023, 3193, 1000, 3193, 3406, 16523, 5004, 1000, 1012, 1007, 2017, 2064, 2036, 2079, 2060, 2477, 1999, 1996, 19373, 2066, 2689, 1996, 3420, 12177, 1997, 1996, 4009, 3085, 2004, 1996, 10439, 8237, 23074, 1012, 1996, 2206, 2742, 14171, 2015, 2327, 11687, 4667, 2000, 2507, 1996, 20346, 2062, 2282, 1012, 2023, 11687, 4667, 2003, 3445, 2004, 1996, 10439, 8237, 23074, 2039, 1998, 17913, 2004, 2009, 23074, 2091, 1012, 1996, 9703, 10439, 2036, 20362, 1996, 3420, 12177, 1997, 1996, 4009, 3085, 2076, 1996, 2345, 2321, 1003, 1997, 1996, 10439, 8237, 17186, 1012, 28903, 18908, 7730, 2465, 28903, 18908, 7730, 1024, 10439, 9006, 4502, 2696, 6593, 7730, 1006, 1007, 1063, 2058, 15637, 4569, 2006, 16748, 3686, 1006, 5552, 7076, 26897, 9153, 2618, 1024, 14012, 1029, 1007, 1063, 3565, 1012, 2006, 16748, 3686, 1006, 5552, 7076, 26897, 9153, 2618, 1007, 2275, 8663, 6528, 9189, 2666, 2860, 1006, 1054, 1012, 9621, 1012, 4023, 1035, 28903, 1007, 11748, 3193, 3406, 16523, 5004, 1024, 3193, 1027, 2424, 8584, 3762, 3593, 1006, 1054, 1012, 8909, 1012, 3193, 3406, 16523, 5004, 1007, 11748, 2918, 14399, 15455, 4667, 1027, 3193, 3406, 16523, 5004, 1012, 11687, 4667, 14399, 1013, 1013, 5646, 2129, 2172, 2327, 11687, 4667, 2038, 2000, 4982, 2096, 1996, 10439, 3347, 23074, 1012, 13075, 4098, 9247, 2696, 15455, 4667, 1027, 1014, 11748, 4180, 8584, 1027, 2424, 8584, 3762, 3593, 1026, 3193, 1028, 1006, 11924, 1012, 1054, 1012, 8909, 1012, 4180, 1007, 3193, 9006, 4502, 2102, 1012, 28796, 29098, 2135, 11101, 5004, 7076, 8454, 9863, 24454, 1006, 4180, 8584, 1007, 1063, 1035, 1010, 16021, 8454, 1011, 1028, 4098, 9247, 2696, 15455, 4667, 1027, 16021, 8454, 1012, 2291, 11101, 5004, 7076, 20082, 2361, 16021, 8454, 1065, 1013, 1013, 2131, 3145, 12046, 2015, 2005, 3420, 12177, 14880, 2912, 3351, 1012, 13075, 4281, 12173, 6137, 1024, 14257, 2906, 9447, 1029, 1027, 19701, 13075, 4098, 12173, 4173, 1024, 14257, 2906, 9447, 1029, 1027, 19701, 11748, 4281, 7265, 4213, 3468, 1027, 1006, 3193, 3406, 16523, 5004, 1012, 4281, 2004, 17978, 7265, 4213, 3468, 1029, 1007, 2065, 1006, 3857, 1012, 2544, 1012, 17371, 2243, 1035, 20014, 1028, 1027, 3857, 1012, 2544, 1035, 9537, 1012, 1050, 1004, 1004, 4281, 7265, 4213, 3468, 999, 1027, 19701, 1007, 1063, 4281, 12173, 6137, 1027, 4281, 7265, 4213, 3468, 1012, 3420, 12173, 6137, 4098, 12173, 4173, 1027, 14257, 2906, 9447, 11253, 1006, 4281, 12173, 6137, 999, 999, 1031, 1014, 1033, 1010, 4281, 12173, 6137, 1031, 1015, 1033, 1007, 1065, 1013, 1013, 2275, 2039, 1996, 10439, 3347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2296, 2309, 2095, 1010, 2471, 2184, 1010, 2199, 6142, 2015, 9015, 2013, 1037, 16492, 11601, 4544, 1006, 16596, 1007, 1011, 1011, 1011, 2019, 4544, 2008, 3310, 2007, 2307, 3465, 2005, 1996, 3265, 2004, 2092, 2004, 2005, 1996, 2270, 9871, 2291, 1006, 1031, 1030, 29491, 1033, 1010, 1031, 1030, 1038, 2475, 1033, 1007, 1012, 2004, 1037, 9509, 1997, 1996, 4544, 1010, 3963, 1003, 2000, 3770, 1003, 2024, 11441, 2007, 20010, 7946, 2953, 11867, 10606, 21162, 1040, 7274, 6508, 3678, 10440, 1010, 1037, 28466, 2008, 5260, 2000, 12958, 24176, 4064, 2075, 1006, 1031, 1030, 1038, 2509, 1033, 1007, 1012, 2120, 1998, 2248, 11594, 16755, 24176, 4064, 2075, 2007, 23852, 4937, 27065, 11124, 9276, 1006, 24582, 1007, 1018, 1011, 1020, 2335, 2566, 2154, 1006, 1031, 1030, 1038, 2549, 1033, 1011, 1031, 1030, 1038, 2575, 1033, 1007, 1012, 2426, 1996, 6666, 1997, 24582, 2024, 1996, 8347, 1997, 1996, 3252, 1998, 3853, 1997, 1996, 3356, 24471, 3981, 2854, 12859, 1010, 4359, 3891, 1997, 2310, 19570, 8162, 15141, 2389, 25416, 25148, 1010, 7620, 1997, 24471, 3981, 2854, 9530, 10196, 5897, 1998, 7312, 1997, 24471, 3981, 2854, 12859, 15245, 1006, 21183, 2072, 1007, 1012, 2122, 6666, 3499, 16596, 5022, 2000, 2022, 2062, 2981, 1998, 2031, 1037, 2488, 3737, 1997, 2166, 1006, 1031, 1030, 1038, 2549, 1033, 1007, 1012, 20506, 15004, 1010, 1996, 2087, 4069, 9509, 1997, 24582, 2003, 1996, 28667, 3126, 24413, 1997, 21183, 2483, 1012, 1999, 4380, 1010, 21864, 3630, 27165, 2015, 2024, 1996, 2034, 2240, 1997, 24479, 2109, 2000, 7438, 21183, 2483, 1012, 2023, 3949, 7336, 1037, 5012, 2504, 2682, 2382, 1003, 1999, 2070, 4655, 1006, 1031, 1030, 1038, 2581, 1033, 1007, 1012, 1999, 4380, 1010, 7511, 4895, 16531, 2098, 26572, 6371, 8516, 2818, 10626, 5178, 1006, 26189, 2278, 1007, 4937, 27065, 2545, 1010, 2029, 5478, 6410, 4646, 1997, 11320, 23736, 9336, 2102, 2000, 7496, 1998, 5547, 15012, 1010, 2024, 1996, 2087, 4703, 2109, 4937, 27065, 2545, 1012, 4522, 4937, 27065, 2545, 2800, 1999, 4380, 2024, 1996, 3653, 1011, 11320, 23736, 12921, 18479, 21850, 10415, 15026, 3924, 1012, 2122, 4937, 27065, 2545, 2031, 1037, 3302, 18898, 1010, 2029, 20817, 2007, 2300, 2000, 2433, 2019, 2130, 18898, 1010, 8558, 15349, 1996, 2342, 2005, 6410, 4646, 1012, 2012, 1996, 2168, 2051, 1010, 2009, 2087, 3497, 22382, 1037, 2896, 3891, 1997, 21183, 2483, 1998, 19610, 4017, 27703, 2000, 16596, 5022, 1012, 1996, 6614, 1997, 2023, 2817, 2003, 2000, 16157, 1996, 3465, 1011, 12353, 1997, 2122, 2048, 2367, 4127, 1997, 4937, 27065, 2121, 2005, 24582, 1999, 1037, 6480, 7339, 1012, 1996, 3252, 2003, 2241, 2006, 2019, 2248, 2405, 2944, 1006, 1031, 1030, 1038, 2620, 1033, 1007, 2007, 17241, 2000, 6142, 5366, 1998, 1996, 9871, 2291, 1012, 4475, 1998, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3252, 1997, 1996, 2944, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1037, 28003, 2615, 3247, 2944, 2001, 10426, 2000, 6142, 4507, 2000, 16157, 1996, 3465, 1011, 12353, 1997, 18479, 21850, 10415, 15026, 6431, 4895, 16531, 2098, 26189, 2278, 4937, 27065, 2545, 2109, 2011, 16596, 5022, 1999, 4380, 1012, 1996, 4106, 2001, 2864, 2478, 1996, 24970, 1034, 1079, 1034, 2286, 4007, 2000, 26633, 1010, 1999, 7058, 12709, 1010, 24582, 1011, 3141, 12763, 2013, 1996, 2034, 4937, 27065, 11124, 9276, 2127, 2331, 1006, 6480, 1007, 1006, 1031, 3275, 1011, 1015, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2005, 1996, 3078, 4106, 1010, 2035, 15316, 2824, 2020, 2579, 2046, 9584, 1010, 6168, 1996, 3905, 4106, 3139, 21183, 2072, 2004, 1996, 2309, 15316, 2724, 1012, 999, 1031, 28003, 2615, 3247, 2944, 1011, 2093, 25125, 5711, 1998, 2176, 24471, 3981, 2854, 12859, 8985, 1006, 21183, 2072, 1007, 3798, 7539, 1996, 25172, 1997, 25125, 3853, 1012, 1033, 1006, 16785, 2581, 1011, 4583, 22025, 1011, 21307, 9103, 1011, 4008, 1011, 5890, 1011, 5890, 17465, 1011, 1043, 2546, 24096, 1007, 1063, 1001, 20069, 1065, 2241, 2006, 1996, 2434, 2817, 2011, 5215, 3802, 2632, 1012, 1010, 16596, 5022, 9015, 2013, 11888, 24471, 3981, 2854, 20125, 1006, 3770, 1003, 3767, 1010, 2322, 1003, 3801, 1010, 2779, 2287, 4029, 2086, 2214, 1007, 1006, 1031, 1030, 1038, 2620, 1033, 1007, 1012, 1037, 9509, 1997, 24471, 3981, 2854, 20125, 2058, 1037, 2146, 2558, 1997, 2051, 2003, 1996, 25172, 1997, 25125, 3853, 1012, 2000, 8339, 2023, 4507, 1010, 2093, 25125, 5711, 2020, 2511, 1999, 7189, 2000, 2049, 4254, 2006, 1996, 25125, 3853, 1024, 1000, 2053, 25172, 1000, 1010, 1000, 3278, 25172, 1000, 1998, 1000, 25125, 4945, 1000, 1012, 2009, 2003, 5071, 2008, 2035, 2047, 24582, 5198, 2097, 2031, 1000, 2053, 25172, 1000, 1998, 2008, 2009, 2003, 2025, 2825, 2000, 8980, 2030, 19723, 8303, 2000, 1037, 3025, 2754, 1997, 25125, 3853, 1010, 2021, 2069, 14967, 1997, 5711, 1006, 1031, 3275, 1011, 1015, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 21183, 2072, 2003, 1996, 2087, 2691, 4012, 21557, 1997, 24582, 1010, 1998, 1996, 2783, 2944, 3774, 1997, 2176, 2367, 3798, 1997, 21183, 2483, 2008, 1996, 16596, 5776, 2064, 2175, 2083, 1012, 2023, 2003, 1037, 14080, 4102, 2000, 1996, 2434, 2944, 2011, 5215, 3802, 2632, 1012, 1010, 2174, 2009, 2001, 2641, 7882, 2000, 6235, 1996, 3949, 16910, 1999, 4380, 1012, 1006, 1031, 1030, 1038, 2620, 1033, 1007, 1999, 2023, 2817, 1010, 2057, 4225, 1996, 2206, 21183, 2072, 3798, 1024, 1000, 2053, 21183, 2072, 1000, 1010, 1000, 21183, 2072, 5845, 2007, 2034, 2240, 24479, 1000, 1010, 1000, 21183, 2072, 13070, 2000, 2034, 2240, 24479, 1000, 1998, 1000, 21183, 2483, 13070, 2000, 2117, 2240, 24479, 1000, 1012, 2035, 2047, 24582, 5198, 2024, 23599, 2000, 2031, 1000, 2053, 21183, 2072, 1000, 1012, 7539, 1997, 25172, 1997, 25125, 3853, 1010, 16596, 5776, 3464, 3395, 2000, 1996, 2168, 21183, 2072, 3891, 1998, 3949, 1006, 1031, 3275, 1011, 1015, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 3176, 15316, 2824, 2641, 2004, 8465, 1997, 24582, 2020, 1996, 2458, 1997, 19802, 6190, 1010, 24471, 11031, 7941, 4544, 2076, 4937, 27065, 11124, 9276, 1998, 4745, 24471, 11031, 7941, 9384, 5397, 1010, 1998, 4195, 1997, 6386, 2306, 1996, 24471, 3981, 2854, 24176, 1012, 2951, 7953, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 2458, 1997, 21183, 2483, 2001, 2641, 1996, 3145, 16381, 1999, 1996, 2944, 1012, 1037, 11778, 3319, 1997, 1996, 3906, 2001, 3344, 2041, 2007, 3145, 22104, 1998, 20437, 2008, 3139, 16492, 11601, 6441, 1010, 18479, 21850, 10415, 15026, 4937, 27065, 2545, 1010, 5543, 1010, 5366, 1010, 3465, 4106, 1010, 1998, 3141, 3408, 2005, 2119, 2394, 1998, 3009, 4155, 1999, 1996, 2206, 17881, 1024, 1996, 28506, 3401, 3075, 1010, 19960, 4179, 3081, 9047, 7583, 1010, 23675, 4017, 4648, 7402, 1011, 25988, 1041, 2079, 2482, 20755, 7861, 25022, 27742, 2015, 4830, 7842, 12672, 1006, 19286, 6169, 1007, 1010, 1998, 2803, 2005, 4391, 1998, 28170, 1006, 13675, 2094, 1007, 1012, 2582, 2470, 2001, 4146, 2006, 1996, 11744, 1997, 2740, 2974, 7667, 6736, 1998, 3141, 4896, 1998, 2037, 17881, 1012, 3617, 17193, 2020, 13711, 2098, 2011, 6410, 17193, 1997, 12170, 16558, 3695, 14773, 7604, 1998, 29474, 1997, 3479, 5523, 1012, 2023, 3945, 4504, 1999, 12151, 10920, 1011, 2698, 2913, 1012, 1997, 2122, 1010, 2069, 6721, 3550, 6612, 7012, 1010, 18804, 1011, 4106, 1010, 4391, 1010, 8089, 2389, 2913, 1998, 3171, 9312, 2015, 2405, 2077, 2089, 2355, 2020, 3479, 1012, 7763, 2913, 2777, 2122, 10502, 9181, 1998, 2020, 7864, 2005, 1037, 3143, 3319, 1012, 1996, 27263, 2080, 1006, 2313, 1013, 8830, 1013, 7831, 1013, 9560, 1007, 9181, 2020, 2109, 2005, 1996, 14336, 3160, 1012, 2633, 1010, 2176, 2913, 23208, 18479, 21850, 10415, 15026, 1998, 4895, 16531, 2098, 26189, 2278, 4937, 27065, 2545, 2777, 1996, 9181, 1998, 2020, 2109, 2005, 1996, 3465, 1011, 12353, 2817, 1012, 1996, 26163, 3891, 1997, 21183, 2072, 2001, 2241, 2006, 2951, 2013, 2139, 9436, 4063, 3802, 2632, 1012, 1006, 2384, 1007, 1006, 1031, 1030, 1038, 2683, 1033, 1007, 1010, 4003, 26474, 3802, 2632, 1012, 1006, 2268, 1007, 1006, 1031, 1030, 29491, 2692, 1033, 1007, 1010, 4003, 26474, 3802, 2632, 1012, 1006, 2249, 1007, 1006, 1031, 1030, 29491, 2487, 1033, 1007, 1010, 1998, 18906, 5555, 3802, 2632, 1012, 1006, 2230, 1007, 1006, 1031, 1030, 29491, 2475, 1033, 1007, 1012, 3265, 2951, 2013, 2169, 2817, 2020, 9227, 2000, 18422, 1996, 21183, 2072, 18949, 1997, 2119, 4937, 27065, 2545, 1012, 1996, 5816, 3891, 1006, 25269, 1007, 1997, 21183, 2072, 2566, 3204, 2090, 18479, 21850, 10415, 1998, 26189, 2278, 4937, 27065, 2545, 2001, 10174, 2005, 2169, 2028, 1997, 1996, 2176, 2913, 3855, 2682, 1012, 1037, 18215, 2779, 1997, 1996, 5816, 10831, 2001, 10174, 1998, 2241, 2006, 2009, 1998, 1996, 7312, 3891, 1997, 21183, 2072, 2001, 4340, 1012, 1006, 1031, 2795, 1011, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1007, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 24471, 3981, 2854, 12859, 8985, 14120, 2000, 3988, 3424, 26591, 3949, 1012, 3120, 4937, 27065, 2121, 2828, 5022, 1006, 1050, 1007, 21183, 2072, 18949, 2812, 3582, 6279, 2706, 21183, 2483, 2566, 3204, 18215, 2779, 1031, 1015, 1033, 1006, 1001, 1056, 2546, 2078, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1011, 1042, 2078, 1000, 1065, 5816, 3891, 1006, 25269, 1007, 1024, 18479, 21850, 10415, 15026, 5443, 26189, 2278, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1008, 1008, 21183, 2072, 6165, 1999, 1996, 4895, 16531, 2098, 26189, 2278, 4937, 27065, 2121, 2313, 1008, 1008, 4003, 26474, 3802, 2632, 1012, 1006, 2249, 1007, 1034, 1037, 1034, 7511, 26189, 2278, 12457, 1032, 1011, 1017, 1011, 1020, 1014, 1012, 4466, 5139, 1012, 4749, 1032, 1011, 18906, 5555, 3802, 2632, 1012, 1006, 2230, 1007, 1034, 1038, 1034, 7511, 26189, 2278, 2538, 1018, 1012, 4002, 1015, 1012, 1019, 1016, 1012, 6163, 5179, 1012, 4002, 1032, 1011, 4003, 26474, 3802, 2632, 1012, 1006, 2268, 1007, 1034, 1039, 1034, 7511, 26189, 2278, 2603, 1015, 1012, 3515, 2260, 1014, 1012, 2403, 1017, 1012, 2385, 1032, 1011, 2139, 9436, 4063, 3802, 2632, 1012, 1006, 2384, 1007, 1034, 1040, 1034, 7511, 26189, 2278, 6079, 1032, 1011, 2260, 1014, 1012, 4229, 2603, 1012, 2324, 1032, 1011, 1008, 1008, 2561, 1008, 1008, 1008, 1008, 20636, 1008, 1008, 1008, 1008, 21183, 2072, 6165, 1999, 1996, 18479, 21850, 10415, 15026, 4937, 27065, 2121, 2313, 1008, 1008, 4003, 26474, 3802, 2632, 1012, 1006, 2249, 1007, 1034, 1037, 1034, 18479, 21850, 10415, 15026, 8746, 1032, 1011, 1017, 1011, 1020, 1014, 1012, 4466, 2753, 1012, 2382, 1015, 1012, 4002, 18906, 5555, 3802 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2002, 3284, 2691, 4487, 11365, 2953, 1997, 1016, 1998, 21777, 2581, 1029, 1015, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 6640, 17465, 1998, 12904, 2575, 1029, 5187, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 11827, 1998, 23254, 2629, 1012, 1019, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 20802, 24434, 2581, 22610, 1998, 28058, 1029, 28058, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 21489, 2575, 1998, 28188, 2692, 24434, 1029, 5179, 2683, 18422, 1996, 3284, 2691, 5387, 1997, 3515, 16147, 1998, 21211, 2683, 1012, 18914, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 4583, 1998, 17436, 2683, 2581, 2475, 1029, 2340, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 23090, 2575, 17788, 1998, 21679, 1029, 21679, 18422, 1996, 4602, 2691, 5387, 1997, 23090, 2692, 1998, 28203, 2692, 2575, 1012, 2403, 18422, 1996, 3284, 2691, 5387, 1997, 11118, 2692, 24087, 1998, 4662, 2629, 1012, 5764, 2629, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 4662, 2581, 2549, 1998, 27037, 2549, 1029, 22431, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 11212, 1998, 9475, 17914, 1012, 3770, 18422, 1996, 3284, 2691, 5387, 1997, 21211, 26187, 22203, 1998, 12104, 1012, 12104, 18422, 1996, 4602, 2691, 5387, 1997, 25191, 2683, 1998, 4724, 2683, 2509, 1012, 2603, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 13138, 2549, 1998, 27676, 22407, 2509, 1012, 6079, 2581, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 5401, 16068, 1998, 6486, 24087, 1029, 3429, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 13036, 1998, 19342, 2620, 1029, 5786, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 1021, 1998, 4090, 2620, 2581, 2549, 1029, 1021, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 17832, 1998, 14748, 2575, 1012, 1020, 18422, 1996, 4602, 2691, 5387, 1997, 13539, 1998, 4261, 21486, 8889, 1012, 13539, 18422, 1996, 3284, 2691, 5387, 1997, 1016, 1998, 4293, 28311, 16703, 1012, 1016, 18422, 1996, 4602, 2691, 5387, 1997, 2263, 16703, 1998, 4720, 2509, 1012, 4720, 2509, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 3429, 1998, 17222, 2581, 1012, 1023, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 17332, 27814, 1998, 24441, 2692, 1012, 2324, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 20143, 2692, 1998, 2184, 1012, 2184, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 11816, 21619, 1998, 19611, 1029, 4720, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 6564, 2683, 2549, 1998, 14168, 2620, 2581, 2487, 1012, 5786, 2487, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 5139, 28756, 14142, 1998, 12875, 1029, 12875, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 5174, 12740, 2620, 1998, 27689, 2575, 1029, 17405, 2475, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 6275, 14142, 1998, 16471, 2692, 2509, 1029, 6584, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 17365, 2575, 2683, 1998, 27200, 1029, 4261, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 10715, 2683, 1998, 16666, 2620, 2620, 1012, 12606, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 5388, 1998, 20294, 28154, 21926, 1012, 2756, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 24440, 2575, 1998, 5139, 21619, 1012, 3438, 2549, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 4466, 2629, 1998, 25256, 2692, 1029, 1019, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 20304, 2620, 1998, 6584, 21926, 2692, 1029, 13092, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 4724, 14142, 1998, 3770, 1029, 2184, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 19883, 2692, 1998, 22997, 27531, 24087, 1012, 10114, 2629, 18422, 1996, 4602, 2691, 5387, 1997, 6275, 22610, 23352, 1998, 4293, 1012, 2423, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 19492, 1998, 28135, 2575, 1029, 1020, 18422, 1996, 4602, 2691, 5387, 1997, 6347, 2692, 1998, 21267, 1012, 3963, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 6273, 12740, 2575, 1998, 1022, 1029, 1016, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 26953, 12740, 1998, 3150, 1029, 8380, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 6079, 22907, 1998, 22061, 1029, 2340, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 27509, 2683, 1998, 4805, 2620, 2683, 2629, 1029, 6640, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 19988, 2487, 1998, 4090, 21084, 1029, 4724, 2509, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 24709, 2692, 1998, 27054, 8889, 1029, 2322, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 4868, 16932, 2629, 1998, 22030, 2629, 1029, 20549, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 24841, 23352, 1998, 2753, 2620, 2475, 1029, 20304, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 6146, 1998, 7886, 18613, 16932, 1029, 4229, 18422, 1996, 3284, 2691, 5387, 1997, 18914, 23352, 1998, 9512, 1012, 3429, 18422, 1996, 4602, 2691, 5387, 1997, 9645, 26187, 1998, 6486, 15136, 2692, 1012, 3429, 2629, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 6353, 22932, 2549, 1998, 27878, 1029, 1020, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 14378, 25746, 2487, 1998, 1021, 1029, 1021, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 6273, 2620, 26224, 1998, 4700, 19317, 2581, 1029, 5179, 2683, 18422, 1996, 3284, 2691, 5387, 1997, 2786, 20958, 2475, 1998, 4261, 15136, 1012, 24921, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 6640, 2575, 1998, 3770, 21472, 2629, 1029, 19348, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 28627, 23777, 2692, 1998, 16666, 2629, 1029, 16666, 2629, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 6353, 14526, 2575, 1998, 27200, 1029, 16459, 18422, 1996, 3284, 2691, 5387, 1997, 6445, 1998, 22884, 26224, 2683, 1012, 4601, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 4601, 2575, 21926, 1998, 11517, 2509, 1029, 4229, 2683, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 6390, 2683, 26187, 1998, 16444, 1029, 15376, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 23628, 10790, 1998, 25048, 25746, 2692, 1029, 23523, 18422, 1996, 4602, 2691, 5387, 1997, 5354, 19841, 2620, 1998, 2340, 1012, 2340, 18422, 1996, 3284, 2691, 5387, 1997, 6390, 2575, 2581, 2683, 2575, 1998, 5989, 2475, 1012, 10715, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 28769, 2575, 1998, 1018, 1012, 1018, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 28977, 16068, 1998, 2321, 1012, 2321, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 15028, 18827, 2549, 1998, 17365, 2629, 1029, 25392, 18422, 1996, 3284, 2691, 5387, 1997, 4008, 12740, 1998, 24507, 2549, 1012, 27200, 18422, 1996, 3284, 2691, 5387, 1997, 4805, 1998, 6273, 27009, 1012, 4805, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 5354, 22407, 1998, 4029, 11387, 2581, 2575, 1012, 16734, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 3486, 1998, 4724, 2620, 2620, 2509, 1012, 1021, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 26267, 1998, 6275, 2620, 23352, 2549, 1012, 26267, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 13412, 2620, 2683, 2683, 1998, 4700, 2549, 1029, 23297, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 28203, 2692, 2575, 2581, 2581, 1998, 14989, 1029, 14989, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 6036, 1998, 6273, 19841, 1012, 2382, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 9402, 1998, 27003, 1012, 1020, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 2753, 23833, 2629, 1998, 7706, 1029, 3429, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 3486, 20842, 8889, 1998, 29065, 2692, 1012, 22096, 18422, 1996, 4602, 2691, 5387, 1997, 20708, 16086, 1998, 19123, 8889, 1012, 6564, 2692, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 11118, 19317, 1998, 28048, 1012, 15170, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 6036, 14142, 1998, 5401, 14142, 1029, 2382, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 28489, 16932, 1998, 2324, 1012, 2324, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 25745, 26187, 2620, 2549, 1998, 1021, 1029, 1021, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 5179, 28311, 2509, 1998, 26499, 2581, 1012, 16621, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 5786, 2620, 1998, 6390, 2475, 1029, 1018, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 10114, 2620, 2620, 1998, 22238, 2581, 2683, 1012, 16785, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 4805, 17914, 1998, 5018, 2620, 1029, 4720, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 4185, 1998, 19627, 2620, 1012, 4185, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 4261, 1998, 13138, 1029, 1015, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 13138, 2620, 21472, 2549, 1998, 1015, 1029, 1015, 18422, 1996, 4602, 2691, 5387, 1997, 28531, 1998, 3515, 2620, 2509, 1012, 2756, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 4466, 2683, 18827, 2692, 1998, 16528, 1012, 16528, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 14010, 22610, 2475, 1998, 4185, 1012, 1022, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 2756, 1998, 2531, 22022, 24087, 2487, 1029, 2756, 18422, 1996, 4602, 2691, 5387, 1997, 14748, 22025, 2575, 1998, 7287, 1012, 2570, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 17262, 2692, 2509, 1998, 25926, 1012, 25926, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 8732, 23352, 2581, 2475, 1998, 23859, 1012, 6146, 18422, 1996, 3284, 2691, 5387, 1997, 4413, 2620, 1998, 17825, 2581, 2575, 1012, 1018, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 5179, 24594, 2575, 1998, 17613, 1029, 1022, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 27054, 12521, 1998, 20335, 2487, 1012, 2410, 18422, 1996, 4602, 2691, 5387, 1997, 17422, 1998, 3515, 2683, 12521, 1012, 6070, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 6421, 2575, 2509, 1998, 4464, 19317, 1029, 4261, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 16345, 1998, 6191, 2620, 10790, 2620, 1029, 6163, 18422, 1996, 4602, 2691, 5387, 1997, 11899, 2581, 1998, 23523, 2549, 1012, 4464, 18422, 1996, 4602, 2691, 5387, 1997, 4029, 16048, 2620, 1998, 2871, 1012, 1022, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 27954, 1998, 4185, 2683, 2575, 1012, 11176, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 14078, 27531, 2629, 1998, 20637, 1012, 20637, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 4029, 1998, 12104, 2620, 2683, 2629, 1029, 1023, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 16333, 2475, 1998, 20636, 2683, 2620, 1029, 4090, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 6282, 21057, 1998, 25586, 2620, 11387, 1012, 27743, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 2531, 22022, 21057, 1998, 17267, 1029, 11816, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 27445, 12376, 1998, 13710, 1029, 2184, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 8421, 1998, 4724, 2475, 1029, 2324, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 10114, 23352, 2575, 2475, 1998, 2484, 1029, 1020, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 5345, 20958, 1998, 5786, 2549, 1012, 2656, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 2322, 1998, 17014, 26976, 2692, 1012, 2322, 18422, 1996, 4602, 2691, 5387, 1997, 21064, 16048, 1998, 5824, 1012, 5824, 18422, 1996, 4602, 2691, 5387, 1997, 5786, 26187, 1998, 8746, 1012, 3486, 18422, 1996, 3284, 2691, 5387, 1997, 17332, 1998, 5594, 12740, 22275, 2487, 1012, 17332, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 8204, 2620, 1998, 1017, 1012, 1015, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 20024, 2575, 1998, 14506, 16932, 1012, 4413, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 6273, 2549, 1998, 11617, 1012, 22238, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 6079, 2629, 1998, 6694, 2549, 1029, 4601, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 16785, 16048, 2581, 1998, 4749, 22407, 1029, 6255, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 6390, 27814, 17914, 1998, 15407, 1029, 1022, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 16923, 1998, 18914, 11387, 2620, 1029, 5179, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 13092, 1998, 3963, 22394, 2509, 1012, 6079, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 6282, 2683, 2509, 1998, 1021, 1029, 1015, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 14010, 1998, 6353, 20842, 2581, 1029, 6191, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1020, 1998, 5401, 2581, 2581, 2549, 1029, 1020, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 20549, 2683, 2620, 2475, 1998, 9402, 1012, 4090, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 26231, 27009, 1998, 16528, 12376, 1029, 3438, 2575, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 6275, 2683, 2581, 1998, 14989, 2692, 2620, 1012, 17332, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 2531, 1998, 11502, 27531, 2692, 1029, 2753, 18422, 1996, 3284, 2691, 5387, 1997, 9475, 2575, 21486, 1998, 4700, 1012, 4700, 18422, 1996, 4602, 2691, 5387, 1997, 23609, 2692, 1998, 7558, 2629, 1012, 3429, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 28469, 2620, 1998, 24232, 1029, 2570, 2054, 2003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 12943, 15148, 1012, 1046, 2015, 1011, 9262, 22483, 19842, 2278, 2005, 1996, 1000, 4339, 2625, 1010, 2079, 2062, 1000, 20273, 1011, 2396, 4648, 4305, 2497, 8299, 1024, 1013, 1013, 12943, 15148, 22578, 1012, 4012, 1027, 1027, 1027, 1027, 1027, 1027, 7627, 19058, 9438, 1045, 2246, 2046, 2478, 21505, 2005, 2026, 2783, 2622, 1010, 1998, 2165, 1037, 19043, 2012, 2195, 2060, 19842, 2278, 5622, 5910, 2004, 2092, 1012, 1999, 1996, 2203, 1045, 2787, 2027, 2035, 2106, 2126, 2062, 2084, 1045, 2001, 2559, 2005, 1012, 1045, 2074, 2359, 1037, 3722, 2126, 2000, 3584, 2026, 4275, 2013, 1996, 14383, 1012, 2023, 2622, 3849, 2488, 2084, 2505, 2842, 1045, 1005, 2310, 2464, 1010, 2021, 2145, 1010, 6694, 8840, 2278, 3849, 2066, 1037, 2878, 2843, 1012, 2182, 1005, 1055, 2129, 1045, 1005, 1049, 2747, 2725, 2009, 1024, 3332, 1012, 4275, 1027, 1063, 1065, 3853, 1046, 3385, 1035, 2000, 1035, 2944, 1006, 1046, 3385, 1010, 6687, 1035, 2944, 1007, 1063, 1013, 1013, 3443, 3988, 2012, 16344, 2015, 1012, 13075, 8909, 1027, 1005, 1005, 1009, 8785, 1012, 2461, 1006, 8785, 1012, 6721, 1006, 1007, 1008, 6694, 8889, 8889, 8889, 8889, 1007, 13075, 2336, 1027, 1046, 3385, 1012, 2336, 3972, 12870, 1046, 3385, 1012, 2336, 1046, 3385, 1031, 1005, 8909, 1005, 1033, 1027, 8909, 1025, 1046, 3385, 1012, 2003, 1035, 4423, 1027, 2995, 1046, 3385, 1012, 2775, 1035, 8909, 2015, 1027, 1031, 1033, 1025, 1046, 3385, 1012, 6687, 1035, 8909, 1027, 19701, 1025, 2065, 1006, 6687, 1035, 2944, 1007, 1063, 1046, 3385, 1012, 6687, 1035, 8909, 1027, 6687, 1035, 2944, 1012, 2131, 1006, 1005, 8909, 1005, 1007, 13075, 2775, 1035, 8909, 2015, 1027, 6687, 1035, 2944, 1012, 2131, 1006, 1005, 2775, 1035, 8909, 2015, 1005, 1007, 2775, 1035, 8909, 2015, 1012, 5245, 1006, 1046, 3385, 1012, 8909, 1007, 6687, 1035, 2944, 1012, 2275, 1006, 1005, 2775, 1035, 8909, 2015, 1005, 1010, 2775, 1035, 8909, 2015, 1007, 1065, 1013, 1013, 3573, 4275, 1012, 28667, 28393, 2336, 1012, 13075, 2047, 1035, 2944, 1027, 1063, 2012, 16344, 2015, 1024, 1046, 3385, 1065, 5587, 1035, 2131, 1035, 2275, 1006, 2047, 1035, 2944, 1007, 3332, 1012, 4275, 1031, 8909, 1033, 1027, 2047, 1035, 2944, 17552, 1035, 2944, 1006, 2047, 1035, 2944, 1007, 2065, 1006, 2336, 1007, 1063, 2005, 1006, 13075, 1045, 1027, 1014, 1025, 1045, 1026, 2336, 1012, 3091, 1025, 1045, 1009, 1009, 1007, 1046, 3385, 1035, 2000, 1035, 2944, 1006, 2336, 1031, 1045, 1033, 1010, 2047, 1035, 2944, 1007, 1065, 2709, 2047, 1035, 2944, 1065, 1013, 1013, 2131, 1998, 2275, 1012, 17552, 2006, 2275, 1012, 3853, 5587, 1035, 2131, 1035, 2275, 1006, 2944, 1007, 1063, 2944, 1012, 2131, 1027, 3853, 1006, 3145, 1007, 1063, 2709, 2023, 1012, 2012, 16344, 2015, 1031, 3145, 1033, 1065, 2944, 1012, 2275, 1027, 3853, 1006, 3145, 1010, 11748, 1007, 1063, 2023, 1012, 2012, 16344, 2015, 1031, 3145, 1033, 1027, 11748, 17552, 1035, 2944, 1006, 2023, 1007, 10575, 4263, 4270, 1012, 2275, 4221, 2213, 1006, 1005, 4275, 1005, 1010, 1046, 3385, 1012, 5164, 8757, 1006, 3332, 1012, 4275, 1007, 1007, 1065, 1065, 2085, 1010, 2008, 2987, 1005, 1056, 2079, 2172, 1012, 2021, 2005, 15053, 3723, 4691, 1037, 26458, 1010, 2009, 3849, 3492, 2204, 1012, 2625, 2003, 2062, 1012, 1045, 4687, 2129, 2210, 3642, 1045, 2064, 5587, 2000, 2131, 2009, 2000, 2147, 2007, 1037, 2613, 2067, 10497, 1012, 1066, 1066, 1066, 3972, 3286, 5092, 2065, 2023, 9611, 2015, 2115, 3291, 1010, 2059, 2017, 2763, 2134, 1005, 1056, 2342, 19842, 2278, 1999, 1996, 2034, 2173, 1012, 2021, 2023, 2987, 1005, 1056, 9352, 21933, 6279, 2571, 2017, 2013, 1996, 14383, 1010, 1998, 2009, 4165, 2066, 2035, 1997, 1996, 3642, 2008, 2573, 2007, 2122, 4275, 2003, 1037, 9129, 1997, 1046, 4226, 2854, 2655, 12221, 13322, 2046, 1996, 14383, 1012, 2003, 2008, 2157, 1029, 2065, 2061, 1010, 1998, 2115, 2622, 2003, 25908, 1010, 2059, 2019, 19842, 2278, 1010, 2066, 21505, 1012, 1046, 2015, 1010, 2071, 2022, 15189, 1012, 1066, 1066, 1066, 7627, 19058, 9438, 1996, 3642, 2064, 2147, 2007, 1996, 4275, 2302, 7244, 1996, 14383, 1012, 2017, 2074, 3229, 1996, 4275, 3081, 8909, 2015, 1012, 1041, 2290, 6687, 1035, 2944, 1027, 3332, 1012, 4275, 1031, 29379, 1035, 2944, 1012, 2131, 1006, 1005, 6687, 1035, 8909, 1005, 1007, 1033, 6687, 1035, 2944, 1012, 2275, 1006, 1005, 3793, 1005, 1010, 1005, 29379, 3793, 1005, 1007, 2043, 2017, 6869, 2000, 1037, 6462, 11562, 2030, 3649, 1010, 2059, 3398, 1010, 2017, 2224, 1037, 1046, 4226, 2854, 2655, 5963, 1012, 1996, 2944, 8909, 2003, 8250, 1999, 1996, 14383, 5783, 1006, 1996, 3193, 1007, 2029, 2017, 3229, 2007, 1002, 1006, 2023, 1007, 1012, 7188, 1996, 2944, 3431, 1006, 3081, 2275, 1007, 1010, 1996, 17552, 3853, 2003, 8073, 2170, 1012, 1996, 17552, 3853, 2003, 3625, 2005, 4458, 12332, 2000, 1037, 23561, 2029, 17552, 2015, 16129, 1012, 2059, 1996, 17552, 3853, 12668, 1996, 16129, 11210, 2009, 1005, 1055, 4011, 2000, 2175, 1012, 1045, 2228, 2008, 1005, 1055, 10468, 2129, 2035, 19842, 2278, 7705, 2015, 2147, 2104, 1996, 7415, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 5199, 26919, 4244, 3504, 2066, 1037, 3835, 4666, 1997, 8474, 2017, 1005, 2310, 2464, 1999, 2079, 5558, 1013, 21505, 1006, 2200, 2714, 1001, 2275, 1001, 2131, 9413, 16846, 2480, 4471, 4458, 4385, 1007, 2007, 2216, 1999, 11369, 1006, 2048, 1011, 2126, 2944, 1013, 3193, 8031, 1007, 1012, 1996, 4117, 1046, 2015, 1013, 20116, 2015, 15536, 24291, 15182, 2191, 3168, 2005, 2111, 3015, 6177, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 5481, 7875, 2232, 2023, 2003, 2428, 3835, 1012, 1996, 3642, 1997, 1996, 9703, 10439, 9631, 3243, 2092, 1011, 2025, 2069, 2003, 2009, 2235, 2049, 3243, 3191, 3085, 1012, 1012, 1012, 1045, 2001, 3241, 1997, 2478, 21505, 2005, 2026, 2279, 2128, 26373, 1012, 2097, 2031, 1037, 3809, 2298, 2012, 2023, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 3419, 17622, 2025, 16663, 2035, 2008, 16129, 1013, 1046, 2015, 3816, 2362, 1999, 2296, 2309, 2742, 1012, 1012, 1012, 2169, 2000, 2037, 2219, 999, 1024, 1011, 1007, 1066, 1066, 1066, 2396, 4648, 4305, 2497, 7632, 2045, 1010, 2008, 1005, 1055, 2941, 2242, 1045, 2066, 2055, 12943, 15148, 1010, 2021, 1045, 2097, 2574, 5587, 2490, 2005, 16129, 23561, 2015, 2648, 1997, 1046, 2015, 5200, 1012, 8827, 1024, 2017, 2064, 2525, 13558, 1999, 1011, 4874, 20116, 2015, 1012, 1066, 1066, 1066, 6173, 29602, 3385, 2692, 1045, 1005, 1049, 4699, 1999, 2115, 12157, 2005, 16129, 1999, 9262, 22483, 1010, 2054, 2003, 2115, 11581, 2063, 1029, 1066, 1066, 1066, 2396, 4648, 4305, 2497, 2034, 1010, 1045, 2123, 1005, 1056, 2031, 2000, 2562, 2559, 2005, 8909, 2015, 1013, 4280, 2408, 3674, 6764, 2043, 1045, 1005, 1049, 8498, 1013, 29226, 2019, 4874, 1012, 2023, 3084, 8498, 2019, 4874, 2008, 2172, 6082, 1012, 2036, 1010, 2138, 12943, 15148, 4473, 2033, 2000, 6523, 2000, 1996, 7117, 5783, 1997, 1037, 3193, 2004, 1996, 27000, 1000, 1004, 1000, 1010, 1045, 2123, 1005, 1056, 2031, 2000, 4737, 2055, 8498, 2008, 3176, 8909, 1013, 2465, 1012, 2023, 4150, 2926, 6179, 2043, 2017, 2031, 2116, 19842, 2278, 5200, 1006, 2004, 2087, 3934, 2079, 1007, 1010, 2169, 2007, 2037, 2219, 7117, 5783, 1012, 3402, 2017, 2031, 5892, 9877, 1997, 14203, 8909, 2015, 1013, 4280, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 3357, 11039, 2232, 1996, 3921, 1997, 6809, 2009, 2035, 2362, 1011, 2025, 2074, 16129, 1013, 20116, 2015, 1013, 1046, 2015, 1010, 2021, 2036, 19842, 2278, 1011, 2021, 2145, 4415, 3584, 2216, 21641, 3973, 1010, 2003, 2200, 5875, 1012, 4283, 2005, 6631, 1010, 1030, 2396, 4648, 4305, 2497, 1012, 2054, 26389, 1997, 8241, 1011, 2217, 7705, 2015, 2052, 2175, 2092, 2007, 2009, 1029, 1066, 1066, 1066, 2396, 4648, 4305, 2497, 4283, 999, 1045, 3984, 2157, 2085, 1010, 2445, 2008, 1996, 2069, 28297, 15581, 2121, 3024, 2003, 2717, 3993, 1010, 2151, 8241, 1011, 2217, 2008, 8847, 2717, 2323, 2377, 2092, 1006, 15168, 1010, 13045, 1011, 4671, 1010, 4385, 1007, 1012, 4638, 2041, 1996, 1996, 2813, 9703, 3642, 2005, 1037, 13045, 1012, 1046, 2015, 2742, 1024, 1026, 16770, 1024, 1013, 1013, 21025, 2705, 12083, 1012, 4012, 1013, 2396, 4648, 4305, 2497, 1013, 1996, 9628, 1028, 1011, 1011, 1011, 1011, 1011, 1011, 5099, 24330, 2232, 3835, 5622, 2497, 2005, 2235, 18726, 1012, 2021, 2005, 2242, 7046, 1045, 2052, 5136, 2175, 2005, 21505, 1011, 2009, 2031, 2172, 2062, 4225, 8745, 1997, 4275, 1013, 21257, 1013, 5328, 1012, 2348, 1045, 2066, 2951, 1011, 14187, 4933, 1011, 2428, 15708, 999, 1066, 1066, 1066, 2396, 4648, 4305, 2497, 7632, 2045, 1010, 4283, 2005, 2115, 12247, 999, 1045, 2123, 1005, 1056, 9352, 5993, 2007, 2008, 21505, 7615, 1012, 8745, 1997, 1049, 1011, 1058, 1011, 1039, 1006, 2029, 12943, 15148, 2515, 2205, 1007, 2003, 6414, 1037, 2986, 1011, 8982, 2098, 2504, 1997, 3642, 3029, 1010, 1998, 2009, 2987, 1005, 1056, 2393, 2007, 1037, 2312, 3642, 2918, 2007, 2116, 2367, 10061, 5200, 1013, 6177, 1012, 2005, 2742, 1010, 2004, 2017, 2064, 2156, 2013, 1996, 2206, 3642, 1006, 2013, 2256, 9703, 10439, 1996, 2813, 1007, 1010, 1996, 2087, 3278, 7814, 1997, 3642, 3029, 3310, 2013, 1037, 8745, 1997, 8474, 1011, 2107, 2004, 1000, 7561, 4471, 1000, 1010, 1000, 8466, 1000, 1010, 1000, 6337, 1000, 1010, 1000, 5460, 1000, 1010, 4385, 1011, 2004, 3584, 5200, 1024, 1031, 16770, 1024, 1013, 1013, 21025, 2705, 12083, 1012, 4012, 1013, 2396, 4648, 4305, 2497, 1013, 1996, 9628, 1013, 1038, 4135, 2497, 1013, 3040, 1013, 2270, 1013, 10439, 1012, 1012, 1012, 1012, 1033, 1006, 16770, 1024, 1013, 1013, 21025, 2705, 12083, 1012, 4012, 1013, 2396, 4648, 4305, 2497, 1013, 1996, 9628, 1013, 1038, 4135, 2497, 1013, 3040, 1013, 2270, 1013, 10439, 1012, 1046, 2015, 1007, 2021, 2153, 1010, 12943, 15148, 6753, 1996, 2062, 13216, 20231, 1000, 2944, 1024, 1063, 1065, 1000, 1010, 1000, 3193, 1024, 1063, 1065, 1000, 1010, 1000, 11486, 1024, 1063, 1065, 1000, 1010, 2065, 2008, 1005, 1055, 2054, 2017, 2228, 7126, 2017, 2007, 2115, 2312, 3642, 2918, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 28549, 10050, 2480, 2396, 3126, 1010, 3531, 2644, 12403, 25057, 2035, 21505, 1012, 1046, 2015, 3422, 2545, 2006, 21025, 2705, 12083, 1012, 4283, 1066, 1066, 1066, 21307, 3501, 2232, 2497, 1009, 1015, 1011, 1011, 1011, 1011, 1011, 1011, 9752, 4842, 14322, 3849, 15708, 1010, 1998, 1996, 9200, 3033, 1010, 2066, 1032, 1999, 1996, 7817, 2005, 1996, 23561, 2015, 1010, 2071, 2022, 3271, 2011, 4157, 22483, 1005, 1055, 20231, 1012, 1045, 1005, 1049, 2025, 3748, 2055, 6809, 2928, 6279, 1998, 2806, 2046, 14546, 1010, 2021, 2009, 2515, 2562, 2477, 3835, 1998, 2969, 1011, 4838, 1998, 2071, 2022, 2307, 2005, 2235, 3934, 1012, 2006, 1996, 2060, 2192, 1010, 1045, 2123, 1005, 1056, 2066, 2893, 2019, 4895, 19454, 28775, 3064, 4471, 2055, 1996, 2622, 2074, 2138, 1045, 1005, 1049, 3666, 21505, 1012, 1046, 2015, 2006, 21025, 2705, 12083, 1012, 1045, 2001, 3262, 24436, 2000, 12943, 15148, 1012, 1046, 2015, 2077, 1010, 2085, 1045, 2031, 2070, 18959, 1997, 2009, 1012, 1066, 1066, 1066, 16475, 2705, 3530, 1012, 2023, 2003, 1996, 2117, 2051, 2023, 2038, 3047, 2000, 2033, 1999, 1996, 2197, 2261, 2706, 1012, 2478, 21025, 2705, 12083, 16360, 2080, 8771, 2004, 1037, 12403, 2213, 2862, 2003, 21873, 1998, 3084, 2033, 3202, 18959, 1996, 2622, 2008, 1996, 12403, 15810, 2003, 2667, 2000, 2191, 2124, 1012, 1011, 1011, 1011, 1011, 1011, 1011, 23205, 10841, 2497, 2054, 2003, 2007, 2035, 1996, 2928, 6279, 1998, 20116, 2015, 1999, 3642, 1029, 2023, 2097, 2196, 2147, 2005, 2151, 2622, 2008, 5942, 11216, 1012, 1006, 29464, 1012, 5345, 1003, 1009, 1997, 3293, 3934, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 2396, 4648, 4305, 2497, 2123, 1005, 1056, 5293, 2000, 4638, 2041, 1996, 9703, 10439, 1024, 1026, 8299, 1024, 1013, 1013, 1996, 9628, 1012, 12943, 15148, 22578, 1012, 4012, 1028, 4283, 999, 1066, 1066, 1066, 18396, 2129, 2052, 2017, 2079, 1045, 15136, 2078, 1999, 12943, 15148, 1012, 1046, 2015, 1029, 1011, 1011, 1011, 1011, 1011, 1011, 8183, 4757, 24375, 14716, 2515, 4025, 2200, 15708, 1998, 1045, 2066, 1996, 6378, 3272, 2005, 1996, 2801, 2008, 2035, 1046, 2015, 1013, 20116, 2015, 1013, 16129, 2024, 2035, 4838, 1999, 1996, 2168, 3642, 1012, 1012, 1012, 2008, 2000, 2033, 3849, 2066, 1037, 17974, 2005, 14978, 2015, 2091, 1996, 2240, 1010, 2130, 2065, 2009, 2515, 3177, 2039, 3988, 2458, 1012, 1066, 1066, 1066, 2396, 4648, 4305, 2497, 4931, 2045, 1010, 1045, 2228, 2009, 1005, 1055, 2941, 1996, 2060, 2126, 2105, 1011, 1011, 2091, 1996, 2240, 1010, 1045, 2097, 9120, 1996, 2755, 2008, 2035, 2008, 4933, 2003, 2157, 2306, 1996, 4874, 1045, 2342, 2000, 2147, 2006, 1012, 2045, 1005, 1055, 2053, 2342, 2000, 2175, 2105, 3674, 16129, 1013, 20116, 2015, 1013, 1046, 2015, 6764, 2559, 2005, 1996, 8909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 2516, 1024, 3813, 8059, 2057, 2290, 6904, 4160, 6412, 1024, 3813, 8059, 2057, 2290, 1011, 4703, 2356, 3980, 1006, 6904, 4160, 1007, 5796, 1012, 3058, 1024, 5709, 1013, 5718, 1013, 2760, 5796, 1012, 2334, 3989, 18098, 25346, 3012, 1024, 5396, 1011, 1011, 1011, 1001, 3813, 8059, 2057, 2290, 1024, 4703, 2356, 3980, 1006, 6904, 4160, 1007, 1996, 2206, 6904, 4160, 2234, 2055, 2349, 2000, 1996, 2193, 1997, 6681, 2145, 2478, 3645, 1021, 1012, 3531, 4604, 3176, 3980, 2030, 7928, 2000, 1026, 7842, 5657, 8873, 1030, 7513, 1012, 4012, 1028, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2065, 1045, 2572, 23658, 3645, 1021, 2006, 21738, 3489, 1010, 2029, 9563, 2323, 2022, 4217, 1029, 2323, 1996, 3813, 8059, 20116, 2213, 2022, 9124, 2007, 1057, 12879, 2072, 9573, 1006, 9530, 8873, 2290, 1032, 1001, 1016, 1007, 2030, 8027, 9573, 16914, 2099, 1006, 9530, 8873, 2290, 1032, 1001, 1017, 1007, 1029, 2065, 8027, 9573, 5549, 1010, 2339, 1029, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 4919, 1010, 2005, 3645, 1021, 2009, 2003, 6749, 2000, 2224, 9530, 8873, 2290, 1032, 1001, 1016, 1012, 2017, 2097, 2342, 2000, 9585, 1996, 20116, 2213, 1998, 2275, 12398, 2000, 1057, 12879, 2072, 9573, 1010, 4634, 2067, 2000, 8027, 9573, 2069, 2065, 2734, 1012, 5851, 9573, 2097, 2342, 2000, 2022, 9776, 1012, 1028, 1028, 3645, 1021, 2003, 2025, 2583, 2000, 2490, 9530, 8873, 2290, 1032, 1001, 1015, 1012, 3645, 1021, 2038, 1037, 24394, 2006, 20014, 10790, 2490, 2005, 3937, 4653, 2043, 1996, 2152, 1011, 24501, 8389, 4062, 2003, 2025, 2800, 1006, 2005, 2742, 1010, 11829, 5403, 3600, 1010, 3637, 22166, 1010, 4385, 1012, 1007, 1010, 1037, 24394, 8510, 2011, 1996, 20116, 2213, 1012, 2017, 2064, 9573, 2663, 2581, 1999, 1057, 12879, 2072, 5549, 2065, 1037, 7704, 20116, 2213, 2003, 1999, 2173, 1006, 9124, 1007, 4346, 20014, 10790, 2490, 1012, 2065, 3813, 8059, 12398, 2015, 2000, 1057, 12879, 2072, 9573, 5549, 2975, 20014, 10790, 20116, 2213, 9124, 1010, 2059, 2663, 2581, 2097, 16500, 5147, 1999, 1057, 12879, 2072, 5549, 1012, 7513, 2038, 2036, 2067, 6442, 2098, 1056, 9737, 1016, 1012, 1014, 2490, 2000, 3645, 1021, 2005, 2043, 2009, 2003, 5361, 1999, 1057, 12879, 2072, 5549, 1012, 2005, 2062, 2592, 1010, 2156, 2023, 21677, 3720, 1024, 1031, 21677, 24594, 11387, 15136, 2620, 1033, 1006, 16770, 1024, 1013, 1013, 2490, 1012, 7513, 1012, 4012, 1013, 2393, 1013, 25797, 24096, 2620, 2620, 1013, 10651, 1011, 2000, 1011, 5587, 1011, 2490, 1011, 2005, 1011, 1056, 9737, 1011, 1016, 1011, 1014, 1011, 1999, 1011, 3645, 1011, 1021, 1011, 1998, 1011, 3645, 1011, 8241, 1011, 2263, 1007, 1012, 1028, 1028, 7513, 26021, 2017, 2323, 2224, 9530, 8873, 2290, 1032, 1001, 1016, 1025, 8027, 16914, 2099, 9573, 5549, 2323, 2025, 2022, 2109, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2065, 1045, 5361, 3645, 1021, 2007, 20116, 2213, 9124, 1010, 2054, 2097, 1996, 13571, 2795, 1013, 9785, 9563, 2298, 2066, 1029, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 2009, 9041, 2006, 1996, 9573, 5733, 9470, 12398, 2015, 1999, 3813, 8059, 1012, 2065, 20116, 2213, 2003, 9124, 1998, 8209, 2046, 3638, 1010, 2023, 2064, 2823, 3426, 16500, 2865, 2000, 12398, 2000, 8027, 16914, 2099, 9573, 1012, 1028, 1028, 2065, 2017, 9573, 2000, 8027, 9573, 5549, 1998, 2175, 2083, 8272, 2017, 2097, 4050, 2031, 1016, 13571, 2015, 1006, 2004, 3205, 2007, 9785, 19362, 2102, 1012, 4654, 2063, 1000, 2862, 13571, 1000, 1007, 1012, 1996, 2034, 13571, 2108, 3161, 1998, 3205, 2004, 1520, 2291, 13571, 1521, 1010, 5371, 2291, 2828, 2108, 23961, 10343, 2007, 1037, 5023, 1032, 1032, 9573, 19622, 1012, 1996, 2117, 13571, 2003, 2073, 1032, 1032, 3645, 2003, 5361, 2006, 2178, 23961, 10343, 13571, 1012, 1028, 1028, 2065, 3645, 2003, 23658, 1999, 1057, 12879, 2072, 5549, 1010, 8272, 2097, 3443, 1996, 1041, 8873, 2291, 13571, 1006, 9686, 2361, 1007, 2004, 5371, 2291, 2828, 6638, 16703, 1010, 1996, 7513, 3914, 13571, 1006, 5796, 2099, 1007, 2004, 6315, 1010, 1998, 2019, 9808, 1013, 2951, 13571, 2478, 23961, 10343, 1012, 2065, 2017, 4057, 1998, 2298, 2012, 1996, 9686, 2361, 1010, 2017, 2323, 2156, 1037, 19622, 1032, 1032, 1041, 8873, 9573, 19622, 1006, 19622, 2089, 2022, 5023, 1007, 1012, 1028, 1028, 2144, 2017, 2097, 2342, 2000, 2681, 20116, 2213, 9124, 1999, 1996, 2291, 3813, 8059, 2005, 3645, 1021, 1010, 2017, 2089, 2342, 2000, 4919, 7276, 1057, 12879, 2072, 9573, 5549, 2043, 9573, 2075, 2000, 8272, 2865, 1006, 3729, 1013, 4966, 1013, 18833, 1007, 1999, 2344, 2000, 16500, 3645, 1021, 1999, 1057, 12879, 2072, 9573, 5549, 1012, 1028, 23363, 2007, 7473, 9922, 2005, 2062, 2592, 7175, 9573, 7047, 1998, 16012, 2015, 9563, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2065, 1045, 2572, 5361, 3645, 1021, 2007, 1996, 20116, 2213, 9124, 1999, 8027, 9573, 5549, 1006, 9530, 8873, 2290, 1032, 1001, 1017, 1007, 1010, 2054, 2003, 1996, 12200, 4130, 1029, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 12200, 4130, 2005, 2023, 9563, 1006, 1032, 1001, 1017, 1007, 2003, 2145, 3569, 2083, 3645, 2184, 1012, 2295, 2017, 2097, 2025, 2022, 2583, 2000, 2224, 5851, 9573, 2004, 2009, 2003, 2069, 2800, 1999, 1057, 12879, 2072, 9530, 8873, 2290, 1032, 1001, 1015, 1012, 2065, 2017, 4792, 2000, 6942, 1996, 2291, 2000, 1057, 12879, 2072, 9573, 1010, 2017, 2097, 2342, 2000, 4289, 1998, 2128, 1011, 16500, 1996, 2434, 4082, 2291, 2007, 9785, 13571, 2098, 2005, 14246, 2102, 9785, 2478, 1057, 12879, 2072, 9573, 5549, 1012, 2017, 2097, 2025, 2342, 2000, 2562, 1996, 20116, 2213, 9124, 2076, 2023, 6653, 4983, 2017, 2342, 2000, 9573, 2000, 3645, 1021, 2005, 1996, 12200, 1006, 9530, 8873, 2290, 1032, 1001, 1016, 1007, 2065, 2017, 2024, 25925, 2013, 3645, 3573, 2030, 2019, 3784, 8272, 1012, 1028, 2009, 2003, 6749, 2000, 2175, 3442, 2000, 9530, 8873, 2290, 1032, 1001, 1015, 1006, 2007, 1996, 20116, 2213, 9776, 1007, 2005, 1037, 5760, 1057, 12879, 2072, 4044, 1010, 2023, 2003, 2000, 2191, 2224, 1997, 5851, 9573, 2065, 3813, 8059, 6753, 2009, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2003, 2045, 2151, 5310, 4254, 2043, 11991, 1996, 3813, 8059, 2013, 20116, 2213, 9124, 2007, 8027, 16012, 2015, 9573, 1006, 9530, 8873, 2290, 1032, 1001, 1017, 1007, 2000, 20116, 2213, 9124, 1057, 12879, 2072, 9573, 1006, 9530, 8873, 2290, 1032, 1001, 1016, 1007, 1998, 2067, 1029, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 2023, 9041, 2006, 2129, 2017, 2175, 2055, 11991, 1012, 2065, 2017, 2689, 2013, 9530, 8873, 2290, 1032, 1001, 1017, 2000, 9530, 8873, 2290, 1032, 1001, 1017, 1010, 2059, 3535, 2000, 9573, 1010, 2291, 2089, 2025, 9573, 1012, 2065, 2017, 2689, 2067, 2000, 9530, 8873, 2290, 1032, 1001, 1017, 2012, 2023, 2391, 1010, 2302, 2151, 6519, 11039, 2121, 3431, 2000, 2291, 1010, 9785, 2030, 9808, 1012, 2084, 2017, 2323, 2022, 2583, 2000, 9573, 2067, 2046, 2434, 9808, 1010, 2478, 1996, 2434, 9530, 8873, 2290, 1032, 1001, 1050, 1012, 1996, 12832, 2003, 2000, 1008, 2025, 1008, 2689, 1996, 16012, 2015, 4292, 1998, 2612, 12200, 1000, 2004, 1011, 2003, 1000, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2689, 2013, 9530, 8873, 2290, 1032, 1001, 1016, 2000, 9530, 8873, 2290, 1032, 1001, 1015, 2000, 9585, 5851, 9573, 1024, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 2005, 10947, 3001, 1025, 2695, 2325, 1006, 21738, 3489, 1007, 1010, 1998, 2065, 2291, 2038, 20116, 2213, 9124, 1010, 2007, 5851, 9573, 9776, 1006, 2027, 2323, 2022, 20271, 7262, 1007, 1998, 9808, 2003, 5361, 2478, 1057, 12879, 2072, 9573, 4118, 2000, 14246, 2102, 9785, 1012, 2044, 25925, 2000, 2663, 10790, 1009, 1010, 2009, 2323, 2022, 1037, 19647, 2832, 1997, 3810, 2125, 1996, 20116, 2213, 1998, 12067, 5851, 9573, 1999, 3813, 8059, 1006, 2065, 5851, 9573, 2001, 16437, 1999, 1996, 4713, 1998, 2003, 2019, 5724, 1999, 3813, 8059, 1007, 1012, 1028, 1028, 2065, 2044, 2437, 1996, 3431, 1010, 1996, 2291, 2003, 2025, 2583, 2000, 9573, 1010, 2059, 2291, 2003, 2062, 2084, 3497, 26928, 2000, 9573, 2478, 20116, 2213, 1521, 1055, 8027, 16012, 2015, 2005, 9573, 1012, 2065, 2023, 2003, 1996, 2553, 1010, 2023, 2097, 5478, 2593, 2663, 10790, 1009, 8272, 2865, 1010, 2030, 1037, 4550, 16500, 1997, 1996, 2434, 4082, 2291, 1006, 3645, 1021, 1007, 1012, 12725, 2008, 1996, 20116, 2213, 2003, 9124, 1998, 8272, 1013, 9785, 13571, 2003, 2275, 2005, 1057, 12879, 2072, 9573, 5549, 2029, 2052, 2101, 3499, 12200, 2000, 2663, 10790, 1999, 1057, 12879, 2072, 9573, 5549, 1012, 1028, 1028, 2022, 2469, 2000, 7276, 1057, 12879, 2072, 9573, 2000, 16500, 2865, 1010, 3813, 8059, 9563, 2089, 5478, 2582, 16012, 2015, 4292, 3431, 1999, 2344, 2000, 9573, 2000, 1057, 12879, 2072, 8272, 1012, 1028, 1028, 23363, 2007, 7473, 9922, 2005, 2062, 2592, 7175, 9573, 7047, 1998, 16012, 2015, 9563, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 5310, 2003, 2770, 3645, 1021, 1010, 2077, 12200, 2000, 2663, 2184, 1010, 16012, 2015, 1013, 3813, 8059, 2003, 7237, 2000, 1057, 12879, 2072, 1012, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 1032, 1031, 10262, 2008, 4082, 2291, 2001, 3130, 5361, 1999, 8027, 16012, 2015, 9573, 5549, 1012, 1032, 1033, 1028, 1028, 2065, 1996, 2711, 2040, 2003, 23658, 3645, 2184, 3632, 2083, 8272, 1013, 16437, 1012, 3645, 16437, 2097, 11487, 9785, 1999, 8027, 16914, 2099, 16012, 2015, 9573, 5549, 1998, 3535, 2000, 16500, 11914, 1012, 3463, 2089, 8137, 5834, 2006, 2291, 1010, 9573, 4118, 1010, 8272, 2865, 1006, 2065, 28749, 1007, 1012, 2174, 1010, 2017, 2089, 2131, 1037, 4471, 2008, 1996, 9785, 4289, 2003, 4895, 6342, 9397, 15613, 2007, 2023, 9573, 4118, 1012, 2065, 2017, 2131, 2023, 4471, 2009, 2097, 2022, 3733, 2000, 4289, 1996, 9785, 1998, 16500, 4840, 1012, 5432, 1010, 2065, 2017, 2079, 4289, 1996, 9785, 2017, 2097, 1008, 1008, 4558, 1008, 1008, 2151, 2951, 2008, 2001, 2006, 1996, 9785, 1012, 1028, 1028, 11433, 2024, 2000, 2689, 10906, 2067, 2000, 2054, 2027, 2020, 3188, 2000, 11991, 1012, 2023, 2003, 2061, 2017, 2064, 9573, 2000, 1996, 2525, 5361, 4082, 2291, 1012, 10200, 2151, 2951, 2008, 2017, 4299, 2000, 3828, 2000, 2019, 6327, 5527, 3295, 1012, 2059, 2175, 2055, 2128, 1011, 9347, 2075, 1996, 9785, 1006, 4550, 1996, 2524, 9785, 1997, 4493, 13571, 2015, 1010, 9573, 2000, 2865, 1999, 1057, 12879, 2072, 5549, 1998, 4685, 4840, 16500, 2000, 14246, 2102, 9785, 1007, 1012, 1028, 1028, 14046, 1025, 2065, 2017, 2681, 1996, 20116, 2213, 9124, 1010, 2004, 1999, 9530, 8873, 2290, 1032, 1001, 1016, 1010, 2045, 2003, 1037, 6061, 2008, 8272, 2865, 2089, 12398, 2000, 16914, 2099, 9573, 1012, 2065, 4082, 2291, 2003, 5361, 1999, 8027, 16914, 2099, 9573, 5549, 1012, 2017, 2097, 2025, 2022, 2583, 2000, 9585, 5851, 9573, 2302, 2153, 16360, 12298, 19969, 2075, 1996, 9785, 1998, 23658, 1996, 4082, 2291, 1999, 1057, 12879, 2072, 9573, 5549, 2000, 14246, 2102, 9785, 1012, 2017, 2089, 4299, 2000, 23363, 2007, 7473, 9922, 2005, 2062, 2592, 7175, 9573, 7047, 1010, 16012, 2015, 9563, 7047, 2004, 2092, 2004, 3813, 8059, 14409, 1998, 5851, 9573, 7047, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2515, 1057, 12879, 2072, 2490, 9573, 2075, 2013, 1037, 16914, 2099, 13571, 2098, 9785, 1029, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 2053, 1010, 9573, 2075, 2013, 1037, 16914, 2099, 13571, 2098, 9785, 2003, 2069, 3569, 2043, 9573, 2075, 1999, 16012, 2015, 5549, 1012, 2065, 20116, 2213, 2003, 2556, 1998, 9124, 1010, 2059, 8027, 9573, 2323, 2022, 3569, 15929, 16594, 20116, 2213, 1521, 1055, 8027, 16012, 2015, 9573, 4118, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2054, 2003, 1996, 24394, 2006, 3590, 1011, 2978, 5443, 1012, 4185, 1011, 2978, 1057, 12879, 2072, 1029, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 7513, 2515, 2490, 2119, 3590, 1998, 4185, 2978, 1057, 12879, 2072, 1012, 1996, 2978, 2791, 1997, 1996, 9808, 1998, 1996, 1057, 12879, 2072, 3813, 8059, 2442, 2674, 1012, 1006, 2005, 2742, 1010, 2065, 2017, 2031, 1037, 4185, 1011, 2978, 1057, 12879, 2072, 3813, 8059, 2059, 2017, 2442, 16500, 4185, 1011, 2978, 3645, 9808, 1007, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2064, 2017, 2565, 12644, 3973, 6942, 3813, 8059, 10906, 1029, 1028, 1008, 1008, 1037, 1024, 1008, 1008, 2053, 1010, 2087, 3813, 8059, 10906, 2024, 2025, 16367, 1010, 1998, 7513, 2515, 2025, 3749, 1037, 6994, 2000, 3499, 1037, 2965, 2000, 2565, 12644, 3973, 19933, 3813, 8059, 10906, 1012, 23363, 2007, 7473, 9922, 2005, 4751, 2004, 2045, 2089, 2022, 5906, 2800, 2005, 2968, 1998, 9563, 1012, 1008, 1008, 1053, 1024, 1008, 1008, 2129, 2515, 11991, 2013, 20116, 2213, 9124, 8027, 16012, 2015, 9573, 1006, 9530, 8873, 2290, 1032, 1001, 1017, 1007, 2000, 20116, 2213, 9124, 1057, 12879, 2072, 9573, 1006, 9530, 8873, 2290, 1032, 1001, 1016, 1007, 4254, 5851, 9573, 5248, 1029, 1028, 1008, 1008, 1037, 1024, 1008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2019, 3720, 1010, 2405, 1999, 1996, 2899, 2695, 7483, 1010, 8847, 2000, 1037, 3722, 1010, 14085, 10976, 25940, 3921, 2000, 12786, 6245, 8030, 1999, 2116, 2111, 1012, 2009, 2036, 4107, 2582, 3350, 2005, 1996, 15556, 8715, 6245, 9575, 1045, 2031, 2042, 4092, 2055, 2005, 1996, 2627, 2702, 2086, 1012, 1012, 2437, 1996, 4434, 2090, 21733, 1010, 8738, 1010, 1996, 9535, 1998, 5177, 24757, 2066, 6245, 1012, 4826, 3944, 2012, 1020, 1024, 2382, 7610, 2003, 2256, 2279, 28406, 1013, 20010, 11636, 25233, 1012, 1045, 2097, 2022, 10537, 2023, 2538, 2154, 2565, 2008, 24950, 21733, 1010, 5703, 2015, 9535, 12702, 10258, 6525, 1010, 1998, 12033, 8738, 6481, 2008, 2024, 4621, 1999, 12318, 6245, 1012, 1037, 2047, 2817, 1999, 2605, 2419, 2011, 5765, 2082, 1997, 2740, 2934, 7871, 17889, 3683, 14376, 2179, 2008, 6617, 2040, 2109, 17901, 15872, 2545, 2020, 2062, 2084, 3807, 2004, 3497, 2000, 2022, 5845, 2005, 6245, 2084, 6617, 2040, 2134, 1521, 1056, 2224, 1996, 12141, 1012, 17901, 15872, 2545, 2024, 11704, 1998, 9495, 21733, 1999, 1996, 2303, 2008, 2064, 9495, 1037, 9844, 20187, 3433, 1999, 1996, 4167, 2008, 5260, 2000, 6245, 1998, 2060, 5177, 7355, 1012, 2023, 2003, 3615, 2000, 2004, 15556, 8715, 6245, 1010, 1037, 2744, 13279, 2086, 3283, 2043, 1045, 2001, 3773, 1996, 4434, 1999, 2470, 1998, 1999, 3218, 1012, 1996, 2204, 2739, 2003, 2057, 2031, 1996, 5906, 2000, 4769, 2023, 1998, 2116, 2060, 2124, 5320, 1997, 6245, 1006, 9374, 1024, 2019, 3424, 3207, 20110, 4630, 14667, 18888, 1006, 1041, 1012, 1043, 1012, 4013, 4143, 2278, 1007, 2003, 3227, 2025, 1996, 3426, 1007, 1998, 15804, 2111, 1997, 2086, 1997, 14203, 6114, 1012, 2004, 2017, 7683, 2046, 6750, 13382, 1998, 1999, 15238, 1998, 4654, 15238, 1010, 2017, 1521, 2128, 2025, 2074, 10917, 2216, 10654, 3367, 4892, 2015, 1998, 8948, 1025, 2017, 1521, 2128, 2036, 2725, 2204, 2005, 2115, 4167, 2007, 1037, 3218, 2008, 2064, 2358, 10696, 2125, 2030, 15804, 3471, 2107, 2004, 6911, 1010, 6245, 1998, 10089, 1012, 13272, 1523, 3957, 2070, 3168, 1997, 20039, 1010, 1524, 2758, 2938, 12170, 2099, 1047, 8865, 3736, 1010, 1037, 11265, 10976, 11020, 11638, 2923, 2012, 5765, 2966, 2082, 1999, 3731, 1012, 1523, 2017, 1521, 2128, 2053, 2936, 8871, 2185, 2011, 1996, 18846, 1997, 2115, 6699, 1012, 2017, 2024, 2062, 1999, 2491, 1012, 1524, 13272, 3218, 2064, 2036, 2896, 2540, 3446, 1010, 5505, 3446, 1998, 2668, 3778, 1010, 1998, 2089, 2191, 2111, 2625, 7591, 2000, 3255, 1012, 1999, 2070, 3572, 1516, 3391, 2005, 10089, 1010, 6245, 1998, 6911, 1516, 13272, 2453, 2022, 2062, 4621, 2084, 14667, 1010, 2295, 2023, 8440, 1521, 1056, 2042, 4928, 1010, 2758, 2852, 1012, 15533, 2072, 21008, 2483, 4213, 8029, 1997, 1996, 3804, 2118, 2966, 2415, 1999, 9296, 1010, 1050, 1012, 1039, 1012, 2096, 2009, 2180, 1521, 1056, 2131, 9436, 1997, 3649, 2003, 4786, 2017, 12893, 1010, 2009, 2071, 2191, 2009, 6082, 2005, 2017, 2000, 3066, 2007, 1996, 3314, 1012, 21008, 2483, 4213, 8029, 22963, 4083, 13272, 2000, 4083, 2000, 14175, 1024, 2320, 2017, 1521, 2310, 2288, 1996, 4813, 1010, 2017, 2064, 4536, 1996, 4400, 2612, 1997, 14759, 7650, 2009, 1012, 2074, 2066, 2007, 20752, 1010, 2009, 2003, 2055, 5703, 2043, 2009, 3310, 2000, 13096, 5648, 7242, 1012, 1996, 5816, 3815, 1997, 2028, 13096, 5648, 1010, 2066, 3046, 13876, 7361, 4819, 1010, 2000, 1996, 2500, 1010, 2003, 2054, 3084, 1996, 4489, 2043, 2009, 3310, 2000, 5177, 2740, 1012, 2852, 1012, 2745, 6754, 2121, 1010, 9108, 1997, 14266, 7011, 16649, 1012, 8917, 6866, 2019, 5875, 2678, 2055, 1996, 5197, 1997, 2152, 3046, 13876, 7361, 4819, 3798, 1010, 5816, 2000, 2060, 13096, 12737, 1010, 2043, 2009, 3310, 2000, 12992, 2075, 14262, 25862, 2378, 3798, 1998, 12318, 6245, 1012, 2061, 5983, 4111, 5250, 1010, 2005, 2742, 1010, 3475, 1521, 1056, 14044, 2005, 12992, 2075, 14262, 25862, 2378, 1010, 6168, 15077, 8079, 1006, 25730, 1010, 23605, 1010, 12136, 24072, 18794, 1010, 4385, 1007, 1010, 2029, 2031, 1037, 3391, 15189, 3046, 13876, 7361, 4819, 2000, 5250, 6463, 1010, 2003, 14044, 1012, 1045, 2052, 18012, 5983, 6315, 1006, 1998, 11867, 25849, 2065, 2825, 1007, 8079, 1010, 2004, 25043, 2075, 1996, 8079, 11477, 2015, 1996, 13096, 5648, 21879, 1012, 2057, 2031, 2146, 2042, 5604, 1996, 2668, 2005, 13096, 5648, 10047, 26657, 2015, 1999, 5022, 2007, 6888, 10840, 1012, 5675, 3436, 1996, 6413, 13096, 5648, 12586, 2000, 3443, 7965, 13096, 5648, 5703, 1010, 2241, 2006, 8030, 1998, 1996, 2668, 3231, 3463, 1010, 3084, 1037, 2502, 4489, 1999, 5155, 3893, 2689, 1012, 1996, 2087, 8052, 3431, 1045, 2031, 9741, 1999, 3218, 2024, 2007, 5022, 5307, 1996, 7860, 1997, 10089, 1010, 6245, 1998, 19465, 10840, 1012, 1045, 3728, 3191, 1037, 2204, 12654, 2011, 4988, 15062, 9036, 1997, 1996, 6666, 1997, 1996, 9754, 22157, 20298, 12259, 1006, 2025, 2000, 2022, 13534, 2007, 1996, 20422, 14667, 22157, 26427, 1007, 2005, 8650, 1996, 4167, 2013, 7860, 2066, 21901, 1521, 1055, 4295, 1010, 6909, 1010, 6888, 10840, 2164, 6245, 1010, 25519, 1010, 1998, 4167, 4544, 1010, 1998, 2000, 11598, 4167, 3853, 1010, 4852, 1996, 2193, 1998, 1996, 3737, 1997, 2047, 4167, 4442, 1012, 22157, 18227, 1996, 4167, 2114, 29090, 2015, 1997, 2035, 7957, 1010, 2164, 6544, 1010, 1998, 4483, 29090, 2015, 2057, 2035, 2227, 1012, 2012, 2740, 6374, 2057, 3231, 1996, 2668, 2005, 22157, 1999, 5022, 2040, 2024, 8315, 2007, 6888, 10840, 1998, 2411, 2424, 2019, 6034, 18888, 1997, 2023, 9754, 1012, 1045, 2097, 3653, 29234, 1996, 9754, 2043, 2009, 2003, 6413, 1010, 2096, 8822, 2668, 5852, 2000, 2191, 2469, 29610, 1010, 14234, 1998, 11290, 3853, 3961, 7965, 1012, 2070, 2833, 4216, 1997, 22157, 2000, 13265, 2046, 2115, 8738, 2421, 17710, 14277, 1006, 6694, 1011, 2456, 24798, 2579, 3679, 1007, 1998, 14255, 9153, 23584, 2015, 1006, 2074, 1037, 9210, 1010, 1016, 1011, 1017, 2335, 2566, 2733, 1007, 1012, 3365, 2913, 2031, 2179, 2008, 1037, 2691, 9754, 11005, 2015, 1996, 4167, 2011, 27295, 1996, 3930, 1997, 2047, 4167, 4442, 1998, 8650, 4167, 4442, 2013, 2296, 2124, 11265, 10976, 3406, 20303, 1012, 2009, 2038, 2042, 3491, 2000, 5547, 1996, 18949, 1997, 6355, 4126, 1010, 18268, 1010, 5920, 1010, 1998, 4319, 13449, 1010, 2096, 10723, 1996, 4167, 22802, 4270, 1998, 3638, 3279, 2008, 4728, 5158, 8100, 2007, 2287, 1010, 2004, 2092, 2004, 5094, 2111, 2007, 25519, 1010, 21901, 1521, 1055, 4295, 1010, 6245, 1010, 20310, 1521, 1055, 4295, 1010, 6909, 1010, 9324, 14978, 2015, 1998, 19686, 4167, 4544, 1012, 2348, 10066, 8100, 1999, 12851, 1998, 1999, 1996, 2300, 4425, 1999, 2116, 3182, 1010, 2023, 9754, 2003, 6524, 2179, 1999, 2151, 17663, 1011, 9754, 12448, 1010, 1998, 2003, 2025, 2130, 4141, 2179, 1999, 5318, 1998, 14335, 2740, 2833, 5324, 1012, 2049, 2171, 2089, 4474, 2017, 1024, 22157, 1012, 2087, 2111, 2228, 1997, 22157, 2004, 1037, 4319, 2005, 4689, 2111, 1012, 2096, 2152, 21656, 1997, 22157, 26427, 2024, 2109, 2000, 7438, 29398, 8761, 1010, 1998, 2024, 2800, 2069, 2004, 1037, 20422, 1010, 2119, 22157, 20298, 12259, 1998, 22157, 2004, 19362, 12259, 2024, 2800, 10036, 2135, 2058, 1996, 4675, 1010, 1999, 2172, 2896, 21656, 1010, 2012, 11730, 2107, 2004, 19300, 13186, 2102, 1012, 4012, 1998, 1045, 5886, 2497, 1012, 4012, 1012, 1006, 3602, 1024, 2057, 2031, 2053, 3361, 4434, 2007, 2593, 13307, 1012, 1007, 2429, 2000, 1996, 6801, 1010, 1998, 2085, 10181, 2446, 2030, 2705, 19506, 2571, 15431, 7522, 2852, 1012, 7003, 9152, 13699, 2121, 1010, 1996, 20298, 12259, 2433, 1997, 22157, 2003, 2062, 6464, 9687, 2503, 4442, 1010, 2437, 2009, 2062, 4621, 2012, 2896, 21656, 2084, 1996, 20422, 2433, 1010, 22157, 26427, 1012, 22157, 2038, 2036, 2042, 3491, 2000, 2022, 4621, 2012, 11087, 1011, 2659, 21656, 1010, 2107, 2004, 2216, 2179, 8100, 1999, 11112, 2300, 1012, 1037, 2702, 2095, 3146, 2817, 2179, 2008, 1996, 18949, 1997, 9040, 1010, 18268, 1010, 5920, 1010, 20934, 10623, 28221, 1998, 4319, 13449, 2001, 6022, 2896, 1999, 5721, 2073, 1996, 2300, 4425, 4838, 3963, 1011, 10894, 12702, 13113, 2015, 1997, 22157, 2566, 23675, 1010, 4102, 2000, 5721, 2073, 2045, 2003, 2210, 2030, 2053, 22157, 1999, 1996, 2300, 1012, 1037, 2714, 2817, 1999, 2900, 2179, 2008, 22157, 1999, 1996, 2300, 4425, 6022, 4359, 1996, 3891, 1997, 5920, 1012, 2130, 1037, 2200, 24907, 16060, 2319, 2040, 10749, 2093, 23675, 2015, 1997, 2300, 1037, 2154, 1006, 2531, 19471, 2015, 1007, 2052, 2145, 2022, 2893, 2069, 1037, 2431, 1037, 4971, 8004, 6444, 1997, 22157, 2566, 2154, 1010, 2065, 2027, 2973, 1999, 2019, 2181, 2073, 2045, 2003, 10894, 11338, 2290, 1012, 1997, 22157, 2566, 23675, 1997, 2300, 1012, 12826, 2023, 2000, 1996, 3815, 4141, 2579, 2011, 29398, 5022, 1024, 7706, 11460, 1013, 2154, 1997, 22157, 26427, 1010, 2029, 3397, 13913, 11460, 1997, 19529, 22157, 1012, 2404, 2178, 2126, 1010, 1996, 19828, 3463, 1997, 1996, 3146, 2817, 2020, 4719, 2007, 21656, 2008, 2020, 2028, 1011, 2353, 1997, 2028, 3867, 1997, 1996, 3815, 2579, 2011, 29398, 5022, 1012, 2122, 3811, 15189, 3896, 2013, 2659, 13004, 22157, 2031, 9469, 2070, 6950, 2000, 2655, 2005, 5815, 22157, 2000, 1996, 2300, 4425, 1999, 1996, 8310, 2179, 8100, 1999, 1996, 2152, 22157, 3146, 5721, 1012, 2028, 1997, 2122, 2003, 5655, 6119, 1049, 1012, 1040, 1010, 3166, 1010, 3910, 1997, 1996, 11937, 23393, 2050, 9349, 1999, 9278, 2239, 1010, 2899, 1010, 1998, 1037, 2266, 1997, 1996, 2966, 7319, 2604, 2005, 1996, 2512, 1011, 5618, 2166, 5331, 3192, 1012, 2852, 1012, 6119, 2034, 2211, 2551, 2007, 22157, 1999, 1996, 17549, 1010, 2043, 2470, 2012, 1037, 12436, 2902, 3662, 2008, 2009, 12099, 4359, 28667, 28173, 11365, 2213, 1006, 4728, 2124, 2004, 1523, 4634, 2125, 1996, 9540, 1524, 1007, 2426, 14813, 2015, 1012, 2025, 2069, 2020, 2122, 29525, 2015, 5948, 2625, 1010, 2037, 2945, 2988, 2625, 4963, 1010, 14974, 1998, 4808, 1999, 1996, 2273, 1010, 1998, 2625, 6888, 9961, 1010, 27874, 9961, 1998, 6245, 1999, 1996, 2308, 1012, 2027, 2020, 2036, 5777, 2488, 1010, 1998, 3227, 5475, 2121, 1998, 19366, 1012, 6119, 2101, 2211, 2478, 2659, 13004, 22157, 2007, 1996, 2336, 1997, 14813, 2015, 1010, 2040, 2411, 2031, 2070, 1997, 1996, 2168, 6888, 3471, 21358, 29301, 2075, 2037, 3008, 1012, 1006, 1037, 2337, 2230, 3720, 2405, 1999, 1996, 3485, 13449, 3662, 2008, 4268, 2007, 1037, 2155, 2381, 1997, 25519, 2024, 2062, 3497, 2000, 13675, 10696, 26844, 1010, 9015, 2013, 6245, 1010, 1998, 2468, 14813, 2015, 3209, 1012, 1007, 2021, 6119, 2134, 1521, 1056, 2707, 2478, 2659, 13004, 22157, 2370, 2127, 2639, 1010, 2043, 2019, 3720, 1999, 1996, 2329, 2966, 3485, 1996, 9993, 2102, 2988, 1996, 26137, 4531, 2008, 2074, 2176, 3134, 1997, 2152, 1011, 13004, 22157, 7242, 3303, 1037, 2093, 3867, 3623, 1999, 4167, 3872, 1517, 22969, 2046, 25501, 1997, 3176, 4167, 4442, 1012, 2122, 9556, 2357, 2006, 2049, 2132, 1996, 7511, 9866, 2008, 2057, 2024, 2141, 2007, 2035, 1996, 4167, 4442, 2057, 2097, 2412, 2031, 1010, 1998, 2008, 4167, 22802, 4270, 2003, 2019, 14477, 6767, 8524, 3468, 9509, 1997, 12520, 1012, 1999, 1996, 2627, 2702, 2086, 1010, 2758, 6119, 1010, 2045, 2038, 2042, 2019, 1523, 18846, 1997, 2470, 1524, 2055, 22157, 1012, 1999, 2804, 2000, 13946, 15764, 2135, 2008, 22157, 23216, 2015, 1996, 4167, 2000, 4982, 2047, 4442, 1010, 2009, 2038, 2036, 2042, 3491, 2000, 2022, 1010, 6119, 2758, 1010, 1037, 1523, 6919, 11265, 10976, 21572, 26557, 6024, 4005, 2013, 2151, 2828, 1997, 29090, 2045, 2003, 1012, 1524, 2023, 11265, 10976, 1011, 9474, 7337, 2003, 2061, 2844, 2008, 2028, 9768, 22157, 10753, 2056, 1010, 2429, 2000, 6119, 1010, 2008, 2009, 1523, 16079, 2015, 2006, 15451, 18098, 28804, 2063, 2000, 3653, 29234, 2151, 18224, 13181, 24330, 14667, 2302, 22157, 2000, 4047, 1996, 4167, 1012, 1524, 18224, 13181, 24330, 2015, 2421, 3424, 3207, 20110, 11390, 1010, 3424, 1011, 10089, 19960, 2015, 1010, 1998, 5777, 15345, 1012, 2852, 1012, 6119, 2038, 2130, 2657, 1010, 2019, 8586, 27364, 3973, 1010, 2013, 3365, 5022, 1010, 2008, 2043, 2027, 2024, 2635, 22157, 2027, 2123, 1521, 1056, 2131, 2919, 6865, 24302, 1012, 22157, 18227, 1996, 4167, 2013, 1996, 15011, 3896, 1997, 6544, 1010, 8161, 1996, 3255, 1996, 2851, 2044, 1012, 6119, 14046, 2015, 2008, 2028, 2064, 1521, 1056, 3432, 3769, 1037, 13855, 1997, 22157, 2247, 2007, 1037, 8070, 1997, 24570, 2015, 2000, 6162, 2023, 3466, 1010, 2028, 2052, 2031, 2000, 2022, 2635, 2009, 5570, 1010, 3188, 2000, 1037, 2305, 1997, 2058, 22254, 5313, 17905, 1010, 2000, 4047, 4167, 4442, 1012, 10655, 1010, 2009, 2038, 2042, 3491, 2008, 2065, 1996, 2668, 4425, 2003, 3402, 3013, 2125, 2000, 1996, 4167, 1010, 2107, 2004, 2007, 1037, 6909, 1010, 4167, 4442, 9015, 2172, 2625, 4053, 2065, 1996, 6909, 6778, 2038, 2042, 2635, 22157, 1012, 1006, 2009, 2515, 2025, 2147, 2000, 2202, 1996, 22157, 2044, 1996, 6909, 1010, 2043, 1996, 4053, 2038, 2525, 4158, 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, 2720, 1012, 5882, 1010, 2651, 1045, 4125, 2000, 13399, 1996, 12951, 5315, 1997, 2267, 14377, 1011, 24665, 7140, 2140, 2595, 1010, 1037, 2270, 5145, 4056, 2000, 2267, 1011, 2504, 1998, 4639, 2495, 1999, 16947, 1011, 25598, 1012, 2267, 14377, 1011, 24665, 7140, 2140, 2595, 4832, 2041, 1999, 1996, 2896, 14718, 2937, 2555, 2005, 2049, 2569, 3276, 2007, 2049, 5826, 1998, 2005, 2049, 6691, 2000, 1996, 4610, 1012, 2009, 2003, 2124, 2802, 5447, 2005, 1996, 3737, 1997, 2049, 2495, 3454, 1010, 2005, 6013, 1999, 3004, 1012, 2070, 3297, 2111, 3852, 2013, 2045, 1010, 2164, 8234, 4078, 28225, 2483, 1010, 4079, 8945, 9307, 17599, 1010, 1998, 7628, 3393, 16659, 1012, 1045, 2572, 2036, 7537, 2000, 13399, 1996, 6581, 2147, 1997, 1996, 4105, 1997, 1996, 2267, 1998, 2049, 2472, 2236, 1010, 8709, 3434, 17935, 25450, 1010, 1998, 2049, 3472, 1997, 1996, 2604, 1010, 5212, 16758, 2239, 1010, 2004, 2092, 2004, 1996, 2147, 2589, 2011, 1996, 13545, 3370, 4241, 2267, 1010, 2419, 2011, 23786, 2063, 21326, 2232, 1998, 6153, 2011, 2703, 11968, 2063, 1010, 3472, 1997, 1996, 2604, 1012, 2023, 13459, 2136, 2003, 2551, 2005, 1996, 5770, 1997, 2256, 2402, 2111, 1998, 2256, 2925, 1012, 2720, 1012, 5882, 1010, 2197, 2733, 2848, 2358, 7245, 2121, 26103, 2135, 4207, 2010, 3522, 25086, 4456, 11616, 1012, 2004, 1996, 2280, 2266, 1997, 3323, 2005, 12803, 3077, 1517, 2789, 5370, 1010, 2848, 2358, 7245, 2121, 2003, 1037, 3003, 1999, 2256, 2451, 1998, 4247, 2000, 8175, 2005, 8244, 2408, 2710, 1012, 1045, 2215, 2000, 4067, 2032, 2005, 2010, 12824, 3238, 2147, 1998, 2036, 4299, 2032, 2092, 1012, 2006, 2779, 1010, 5388, 16485, 2097, 2022, 11441, 2007, 25086, 4456, 3679, 1012, 2116, 1997, 2149, 2031, 2273, 1999, 2256, 3268, 2040, 26103, 2135, 2954, 2023, 4295, 1012, 2023, 2950, 2026, 11729, 2013, 12310, 1517, 20115, 1010, 2040, 2106, 2025, 2292, 2010, 2263, 11616, 2644, 2032, 1999, 2010, 9128, 2000, 2954, 2005, 2010, 2451, 1012, 1045, 2572, 2061, 7098, 2000, 4133, 1999, 1996, 2160, 2007, 2032, 2651, 1010, 2138, 2002, 2003, 2844, 1998, 7965, 1012, 1045, 3246, 2008, 2035, 2372, 1997, 1996, 2160, 2097, 3693, 2033, 1999, 10261, 2848, 2358, 7245, 2121, 1996, 7619, 2190, 1998, 1037, 26203, 7233, 1012, 2004, 2693, 21784, 2855, 8107, 1010, 2292, 2149, 2035, 8627, 1996, 2273, 1999, 2256, 3268, 2000, 2131, 7039, 2220, 1010, 2138, 2008, 2003, 1996, 3145, 1012, 2027, 2323, 3967, 2037, 7435, 2004, 2574, 2004, 2825, 1012, 2720, 1012, 5882, 1010, 1045, 4125, 2023, 2851, 1010, 6517, 1998, 2005, 10626, 2078, 1010, 2004, 2035, 1997, 15536, 8445, 2239, 4247, 2000, 9587, 14287, 1012, 13718, 1010, 2204, 2477, 2079, 2025, 5091, 2197, 1024, 15536, 8445, 2239, 1005, 1055, 10418, 6926, 2038, 2979, 1012, 2005, 2410, 2086, 1010, 2006, 1037, 2851, 2061, 24222, 2041, 1997, 2010, 22715, 5004, 2234, 15536, 8445, 2239, 9893, 1012, 1996, 2088, 4741, 2005, 2010, 17547, 1025, 2002, 2435, 2009, 2007, 10640, 1998, 10652, 1012, 3458, 1037, 5192, 1997, 1037, 4797, 2002, 2106, 2010, 3105, 2007, 27838, 3367, 1998, 18856, 5833, 1010, 2002, 2165, 2010, 3105, 5667, 1010, 2002, 2106, 2025, 3984, 1025, 2008, 1005, 1055, 2339, 9893, 2768, 2041, 2013, 1996, 2717, 1012, 26136, 2595, 6342, 2696, 7962, 3240, 6316, 1010, 18454, 10609, 19629, 10265, 3520, 1010, 1998, 28352, 4143, 2278, 5006, 1517, 2027, 2024, 8210, 8305, 2015, 4102, 2000, 9893, 1012, 2028, 1997, 1037, 2785, 1010, 2019, 2632, 21891, 2013, 2132, 2000, 11756, 1010, 2010, 2317, 6519, 1043, 9863, 6675, 2066, 4840, 2337, 4586, 1012, 2012, 1022, 1037, 1012, 1049, 1012, 2002, 1005, 1040, 7204, 2000, 1996, 3664, 3251, 1996, 2154, 2001, 20981, 2030, 4189, 1012, 2010, 2166, 2006, 3011, 2001, 2069, 2410, 1061, 2869, 2146, 1025, 2002, 2001, 2467, 2157, 1998, 2196, 3308, 1012, 8072, 2097, 2022, 3082, 1010, 2159, 2440, 1997, 11094, 1010, 15536, 8445, 2239, 9893, 2097, 2022, 9893, 9893, 4771, 1012, 2010, 2051, 2007, 2149, 2085, 2038, 7024, 1025, 15536, 8445, 2239, 9893, 1010, 2717, 1999, 3521, 1012, 2720, 1012, 5882, 1010, 1045, 4125, 2651, 2000, 6807, 2019, 3029, 1999, 2026, 5559, 2008, 16171, 14842, 1012, 3324, 1997, 2962, 6374, 2003, 1037, 14495, 3029, 4056, 2000, 3445, 7073, 1010, 12284, 1010, 1998, 4712, 1997, 2434, 2396, 1999, 1996, 4279, 1997, 2962, 6374, 1010, 19820, 14650, 1010, 1998, 11265, 5051, 2319, 1012, 2009, 3640, 2334, 3324, 2007, 1996, 4495, 2000, 11835, 1010, 4553, 1010, 1998, 2433, 2037, 2219, 2396, 10637, 1012, 2144, 1045, 2165, 2436, 1010, 3324, 1997, 2962, 6374, 2031, 3024, 2026, 5540, 1998, 5768, 4822, 2007, 10392, 4109, 1997, 2396, 1012, 1045, 2052, 2066, 2000, 4067, 13378, 11374, 4135, 2483, 1010, 9851, 6687, 1010, 4116, 2771, 6806, 2243, 1010, 1998, 2957, 21877, 3363, 2005, 2037, 7552, 26161, 1012, 1045, 13260, 2035, 3901, 1997, 11265, 5051, 2319, 1998, 8166, 2000, 5463, 1996, 3324, 1997, 2962, 6374, 1005, 1055, 5964, 3296, 2396, 2265, 2006, 2281, 1018, 1998, 1019, 1010, 2012, 1996, 2962, 6374, 5439, 2252, 1999, 11265, 5051, 2319, 1012, 2720, 1012, 5882, 1010, 4561, 9341, 19093, 2097, 2022, 12964, 9341, 1011, 2006, 28897, 2154, 2006, 2244, 2423, 1012, 2023, 2621, 1010, 1045, 7837, 2105, 4561, 3331, 2000, 2451, 2967, 2055, 1996, 5197, 1997, 9341, 9864, 7521, 1012, 9341, 9864, 7489, 12919, 2256, 4279, 1998, 15770, 1996, 2413, 2653, 1012, 1999, 4361, 1010, 1045, 2777, 2007, 2116, 9341, 19093, 2040, 2215, 2000, 2393, 2490, 9341, 9864, 7489, 1998, 17409, 2068, 2046, 1996, 2334, 4610, 1012, 1999, 26487, 1010, 1996, 2451, 2234, 2039, 2007, 2035, 7957, 1997, 2307, 4784, 2005, 15411, 1998, 18066, 24159, 2000, 2256, 4279, 1998, 11434, 2068, 2000, 2994, 1012, 8166, 9341, 19093, 2215, 1996, 2231, 2000, 2025, 2069, 3113, 2049, 9341, 9864, 7521, 4539, 2021, 13467, 2009, 1012, 2008, 2003, 3599, 2054, 2057, 2024, 2183, 2000, 2079, 1012, 9353, 17190, 2063, 1517, 21897, 2038, 1037, 9341, 9864, 3484, 1010, 1998, 2004, 2049, 4387, 1010, 1045, 12315, 1996, 4495, 2000, 3113, 2007, 4561, 9341, 9864, 4279, 1012, 1045, 4299, 2035, 4561, 9341, 19093, 1037, 6919, 9341, 1011, 2006, 28897, 2154, 1012, 2720, 1012, 5882, 1010, 1045, 2572, 7537, 2000, 4125, 1999, 1996, 2160, 2651, 2000, 6225, 1037, 2158, 2040, 2038, 4056, 2010, 2166, 2000, 5094, 2010, 3507, 8244, 1010, 1037, 2158, 2040, 7714, 2366, 2010, 2406, 2006, 2195, 6931, 6416, 1998, 2040, 2085, 2038, 2000, 2444, 2007, 1996, 8317, 13521, 3303, 2011, 1996, 22812, 2002, 9741, 2006, 2216, 6416, 1012, 2200, 2574, 1010, 2588, 2026, 12832, 1010, 2029, 1045, 2001, 7098, 2000, 2507, 1010, 3394, 6722, 3817, 2474, 14876, 12380, 3170, 1010, 2124, 2004, 1523, 1042, 2239, 14876, 2078, 1524, 2000, 2010, 2814, 1010, 2097, 2022, 4909, 1037, 8244, 18168, 8569, 5104, 2386, 23039, 1012, 2023, 2092, 1011, 10849, 6225, 6017, 1996, 12731, 13728, 12758, 1997, 2010, 2086, 1997, 12824, 3238, 2147, 4214, 2006, 6867, 2000, 6807, 1996, 3471, 2256, 8244, 2031, 2000, 3066, 2007, 1012, 2009, 2003, 2036, 1037, 7050, 2000, 1996, 3947, 2720, 1012, 2474, 14876, 12380, 3170, 2038, 11241, 1999, 7411, 1996, 3296, 5103, 6225, 2075, 3521, 24764, 2008, 2003, 2218, 1999, 5447, 2103, 2296, 2257, 1023, 1012, 4067, 2017, 1010, 1042, 2239, 14876, 2078, 1010, 2005, 2115, 11813, 12276, 1998, 2115, 2702, 6305, 3012, 1999, 20324, 2005, 2115, 3428, 1998, 5208, 1999, 2608, 1012, 2017, 2024, 2619, 2057, 2064, 2035, 2298, 2039, 2000, 1012, 2720, 1012, 5882, 1010, 2197, 2733, 1045, 3230, 1996, 12035, 2005, 1996, 6049, 5315, 1997, 25175, 7092, 2041, 7113, 6692, 2483, 1010, 2029, 2003, 1037, 8995, 3029, 1999, 2256, 2555, 1012, 1996, 2724, 2443, 1037, 4009, 2218, 2004, 2112, 1997, 2843, 2080, 1011, 25175, 7092, 1010, 1996, 3029, 1005, 1055, 5221, 15524, 3049, 2061, 2521, 1012, 1045, 2074, 2215, 2000, 2202, 1037, 2617, 2000, 4067, 3071, 2040, 2003, 2030, 2038, 2042, 2551, 2000, 2191, 2023, 3029, 1037, 3112, 1010, 2164, 2049, 3242, 1010, 26009, 26439, 1010, 1998, 2049, 3237, 2472, 1010, 16244, 2474, 8525, 15000, 5051, 1010, 2004, 2092, 2004, 1996, 2116, 7314, 1998, 5126, 2920, 1999, 2049, 2147, 2296, 2154, 1012, 1999, 1996, 12930, 1997, 2122, 12035, 1010, 2174, 1010, 2057, 2442, 2025, 4558, 4356, 1997, 1996, 3260, 1997, 25175, 7092, 2041, 7113, 6692, 2483, 1010, 2029, 2003, 2000, 4337, 2833, 16021, 8586, 25137, 1012, 1045, 13260, 2035, 1997, 2026, 8628, 1998, 2035, 16485, 2000, 2131, 2920, 1010, 2119, 14258, 1998, 13643, 1010, 1999, 1996, 2954, 2114, 5635, 1998, 9012, 2011, 3116, 2007, 2334, 22859, 2000, 2424, 2041, 2054, 2027, 2342, 1998, 2011, 8019, 1999, 15524, 8008, 1012, 2720, 1012, 5882, 1010, 2009, 2003, 1996, 2197, 2154, 1997, 2621, 1012, 2493, 2024, 2067, 1999, 2082, 7316, 2006, 2054, 2027, 2106, 2058, 1996, 2621, 1010, 1998, 1045, 2052, 2066, 2000, 2079, 1996, 2168, 1012, 1045, 2985, 1996, 2621, 10591, 2006, 2062, 2084, 1022, 1010, 2199, 4303, 2000, 3113, 1998, 2963, 2013, 2026, 24355, 1010, 1998, 2411, 2013, 2037, 6077, 2004, 2092, 1012, 2004, 2112, 1997, 2023, 10683, 7741, 1010, 2057, 4778, 3901, 2000, 2489, 2451, 3347, 4783, 10997, 1999, 4789, 2380, 1010, 7440, 4899, 1010, 2697, 8584, 1010, 3123, 9629, 1010, 1998, 11019, 4631, 1010, 2073, 2026, 3095, 2366, 2062, 2084, 1017, 1010, 2199, 24575, 2015, 1998, 2980, 16168, 2015, 1012, 1996, 2111, 1997, 12512, 1517, 24992, 6212, 2024, 2036, 7501, 2005, 3343, 1012, 2006, 1996, 26581, 2015, 1998, 2012, 2824, 1010, 2062, 2084, 1018, 1010, 2199, 3901, 17858, 2772, 2256, 9964, 4214, 2006, 1996, 2976, 2231, 2000, 2224, 2049, 10738, 2373, 2058, 12108, 2000, 2393, 2562, 21871, 25509, 2884, 2270, 1012, 1045, 2298, 2830, 2000, 5052, 2026, 24355, 2006, 2008, 1998, 2060, 3314, 2004, 3323, 13746, 2015, 1012, 2720, 1012, 5882, 1010, 2279, 2733, 2710, 6160, 2015, 2510, 2372, 1998, 8244, 2013, 2105, 1996, 2088, 2005, 1996, 2353, 3296, 1999, 7903, 5809, 2399, 1999, 4361, 1012, 1999, 7903, 5809, 2965, 4895, 8663, 4226, 16670, 1012, 1996, 2399, 3499, 5229, 8244, 2000, 2224, 5379, 2971, 1998, 2490, 2013, 2155, 1010, 2814, 1010, 1998, 2037, 2406, 2000, 2393, 2068, 2006, 2037, 4990, 2067, 2000, 25860, 1012, 1045, 2215, 2000, 6160, 2035, 10159, 2000, 2710, 1010, 1998, 4299, 2068, 6735, 1012, 2204, 6735, 2000, 2035, 1996, 8244, 6637, 1999, 1996, 2399, 1012, 2122, 2399, 2052, 2025, 2022, 2825, 2302, 1996, 2490, 1997, 8295, 2945, 1010, 13162, 1010, 1998, 7314, 1012, 1045, 2215, 2000, 4067, 2068, 2035, 2005, 2037, 6896, 1012, 1045, 2036, 2215, 2000, 4067, 2026, 2204, 2767, 2745, 7641, 1010, 2040, 2038, 4056, 1996, 2197, 5476, 1997, 2010, 2166, 2000, 2510, 2945, 1998, 8244, 1012, 2013, 2995, 16419, 2293, 2000, 2770, 1996, 1999, 7903, 5809, 2399, 1010, 2745, 2003, 2437, 2107, 1037, 3893, 4254, 2006, 1996, 3268, 1997, 2510, 2945, 1012, 1045, 2572, 7098, 2008, 2256, 11346, 16289, 1010, 17488, 6806, 2271, 2666, 2118, 1010, 2003, 14622, 2010, 2147, 2007, 2019, 5756, 3014, 1012, 23156, 2000, 2852, 1012, 7641, 1012, 1045, 2052, 2066, 2000, 4067, 1996, 7314, 2012, 1996, 1999, 7903, 5809, 2399, 1012, 2175, 2710, 2175, 1012, 2720, 1012, 5882, 1010, 2651, 6017, 2322, 2086, 2008, 9395, 14383, 14756, 14343, 2038, 2042, 1999, 1996, 2160, 3003, 1005, 1055, 2436, 1012, 2002, 2038, 2366, 2809, 2160, 4177, 2007, 7835, 1010, 1998, 2038, 5175, 2184, 2160, 3003, 23046, 2015, 1012, 2008, 2003, 2025, 2069, 1037, 9025, 2000, 2010, 5848, 2004, 1037, 24508, 2923, 1010, 2021, 2036, 2010, 2658, 2964, 1998, 3733, 1011, 2183, 5450, 1012, 9395, 10189, 2098, 2010, 24508, 4813, 2104, 1996, 10722, 9834, 4270, 1997, 2010, 10779, 6128, 13619, 7840, 1010, 1998, 2003, 2019, 27427, 2483, 11837, 19150, 2266, 1998, 1037, 3145, 24508, 6739, 1997, 1996, 2160, 4105, 2136, 1012, 1999, 2804, 2000, 3529, 2160, 4177, 1010, 9395, 2003, 2467, 3201, 2000, 6509, 13965, 2372, 1999, 6583, 5737, 16961, 1996, 5399, 8734, 8853, 1997, 1996, 2160, 1012, 9395, 2003, 1037, 7089, 1997, 2143, 1010, 2189, 1010, 1998, 3906, 1010, 2196, 7989, 2000, 17894, 2007, 2010, 3185, 7604, 1998, 2010, 2784, 17005, 2005, 1996, 2413, 2653, 1998, 9341, 1011, 2006, 28897, 3226, 1012, 2004, 2019, 6581, 7101, 1999, 2010, 2219, 2157, 1010, 2002, 2467, 2038, 1037, 5047, 2006, 1996, 3786, 1997, 2023, 2173, 1012, 4363, 2032, 16764, 2024, 2010, 8403, 2564, 7912, 1010, 1998, 2010, 2048, 3376, 4124, 12445, 1998, 6796, 1012, 2006, 6852, 1997, 1996, 4314, 13965, 1010, 1998, 1045, 5987, 2006, 6852, 1997, 1996, 2878, 2160, 1010, 1045, 4299, 9395, 1037, 2200, 3407, 3983, 5315, 1012, 2057, 2293, 9395, 1012, 2720, 1012, 5882, 1010, 2280, 4314, 5446, 2704, 2198, 2158, 3051, 2003, 3038, 2008, 1996, 4053, 2003, 2525, 2108, 2589, 1012, 2158, 3051, 2758, 2449, 5608, 2024, 3048, 7045, 2648, 1997, 2710, 2000, 4468, 2122, 4314, 4171, 21857, 2015, 1012, 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, 1013, 1013, 15333, 3367, 20057, 12326, 1058, 2487, 1010, 16770, 1024, 1013, 1013, 27571, 1012, 1043, 2140, 1013, 1042, 3676, 4160, 14277, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 17350, 2487, 2100, 1045, 2064, 2156, 1996, 13558, 2000, 4180, 4957, 1015, 1036, 1033, 1027, 1036, 1000, 1270, 29822, 14157, 29816, 1270, 23673, 29837, 1270, 23673, 22192, 29820, 29817, 29836, 29837, 1000, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 23713, 9619, 9530, 8873, 2290, 1015, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 9619, 2015, 1000, 1024, 4874, 1063, 1000, 5310, 1011, 9619, 1000, 1024, 4874, 1063, 1000, 25732, 10128, 16814, 19779, 2078, 29278, 3351, 8649, 22107, 1000, 1024, 1000, 25212, 2050, 1000, 1010, 1000, 25732, 10179, 1000, 1024, 1000, 9619, 1011, 25732, 1000, 1010, 1065, 1010, 1065, 1010, 1000, 3343, 1000, 1024, 4874, 1063, 1000, 12398, 1000, 1024, 4874, 1063, 1000, 2051, 5833, 1000, 1024, 4874, 1063, 1000, 2991, 5963, 18908, 3258, 1000, 1024, 1000, 15454, 1000, 1010, 1000, 3823, 1000, 1024, 1014, 1010, 1065, 1010, 1000, 3524, 29278, 1000, 1024, 4874, 1063, 1000, 5310, 1011, 9619, 1000, 1024, 9140, 1031, 1033, 1010, 1065, 1010, 1065, 1010, 1065, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 23713, 20248, 9530, 8873, 2290, 1015, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 11163, 3597, 16671, 2854, 17058, 2015, 1000, 1024, 4874, 1063, 1000, 25212, 2050, 1000, 1024, 9140, 1031, 1000, 2012, 1000, 1010, 1000, 22260, 1000, 1010, 1000, 2022, 1000, 1010, 1000, 1038, 2290, 1000, 1010, 1000, 1038, 2140, 1000, 1010, 1000, 22330, 1000, 1010, 1000, 1039, 2480, 1000, 1010, 1000, 2139, 1000, 1010, 1000, 1040, 2243, 1000, 1010, 1000, 19413, 1000, 1010, 1000, 25212, 1000, 1010, 1000, 9686, 1000, 1010, 1000, 10882, 1000, 1010, 1000, 10424, 1000, 1010, 1000, 16351, 1000, 1010, 1000, 1043, 2546, 1000, 1010, 1000, 1043, 2290, 1000, 1010, 1000, 21025, 1000, 1010, 1000, 14246, 1000, 1010, 1000, 24665, 1000, 1010, 1000, 17850, 1000, 1010, 1000, 15876, 1000, 1010, 1000, 24582, 1000, 1010, 1000, 29464, 1000, 1010, 1000, 10047, 1000, 1010, 1000, 2003, 1000, 1010, 1000, 2009, 1000, 1010, 1000, 15333, 1000, 1010, 1000, 5622, 1000, 1010, 1000, 8318, 1000, 1010, 1000, 11320, 1000, 1010, 1000, 1048, 2615, 1000, 1010, 1000, 1049, 2546, 1000, 1010, 1000, 1049, 4160, 1000, 1010, 1000, 11047, 1000, 1010, 1000, 13316, 1000, 1010, 1000, 17953, 1000, 1010, 1000, 2053, 1000, 1010, 1000, 1052, 2546, 1000, 1010, 1000, 20228, 1000, 1010, 1000, 7610, 1000, 1010, 1000, 13866, 1000, 1010, 1000, 2128, 1000, 1010, 1000, 20996, 1000, 1010, 1000, 7367, 1000, 1010, 1000, 9033, 1000, 1010, 1000, 1055, 3501, 1000, 1010, 1000, 15315, 1000, 1010, 1000, 1056, 2546, 1000, 1010, 1000, 12436, 1000, 1010, 1000, 1059, 2546, 1000, 1010, 1000, 1061, 2102, 1000, 1010, 1033, 1010, 1000, 16351, 2953, 16814, 19779, 2078, 1000, 1024, 9140, 1031, 1000, 16351, 1000, 1010, 1000, 1043, 2290, 1000, 1010, 1000, 10047, 1000, 1010, 1000, 15333, 1000, 1010, 1000, 2866, 1000, 1010, 1000, 4242, 1000, 1010, 1033, 1010, 1065, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 25095, 2012, 2072, 1015, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 11186, 1000, 1024, 4874, 1063, 1000, 2918, 1000, 1024, 1000, 16770, 1024, 1013, 1013, 8833, 9333, 17134, 2575, 2509, 1012, 2012, 2072, 1011, 3677, 1012, 5658, 1029, 1000, 1010, 1000, 3931, 8584, 1000, 1024, 1000, 1032, 1002, 1063, 2918, 1065, 1055, 1027, 5354, 2620, 22022, 2509, 1004, 1055, 2475, 1027, 1019, 1004, 1052, 1027, 2088, 2638, 9333, 1003, 23842, 1003, 23842, 5400, 13592, 1012, 2088, 2638, 9333, 1012, 2325, 1012, 2340, 1012, 16528, 12521, 2692, 1035, 1056, 1035, 5640, 1035, 20704, 1012, 3931, 1004, 1054, 1027, 1032, 1002, 1063, 3898, 9148, 11927, 2232, 1065, 1060, 1032, 1002, 1063, 3898, 26036, 13900, 1065, 1060, 1032, 1002, 1063, 3898, 18717, 3207, 13876, 2232, 1065, 1004, 2128, 1027, 1032, 1002, 1063, 2800, 18182, 9148, 11927, 2232, 1065, 1060, 1032, 1002, 1063, 2800, 18182, 26036, 13900, 1065, 1004, 1044, 2140, 1027, 1032, 1002, 1063, 2335, 15464, 2361, 1065, 1004, 1048, 3070, 1027, 1032, 1002, 1063, 16602, 25023, 6692, 3351, 1065, 1004, 1060, 2487, 1027, 1031, 24471, 2078, 1003, 23842, 10322, 2278, 1003, 23842, 14399, 11266, 1003, 23842, 19317, 2094, 2575, 12879, 2509, 2278, 1011, 1022, 2546, 2575, 2063, 1011, 2340, 2063, 2629, 1011, 1038, 19841, 2581, 1011, 1038, 17788, 16576, 2278, 16147, 6305, 11387, 1033, 1004, 1060, 2475, 1027, 1031, 23713, 1033, 1004, 1060, 2509, 1027, 1031, 2739, 1011, 5640, 1033, 1004, 1060, 2549, 1027, 1031, 12098, 1033, 1004, 1060, 2629, 1027, 1031, 1032, 1002, 1063, 3120, 3126, 2140, 1065, 1033, 1004, 1060, 2575, 1027, 1031, 1032, 1002, 1063, 6254, 2890, 7512, 14544, 1065, 1033, 1004, 1060, 2581, 1027, 1031, 3720, 1011, 2865, 1011, 11412, 1033, 1004, 1060, 2620, 1027, 1031, 21934, 21759, 2232, 1033, 1004, 1060, 2683, 1027, 1031, 1003, 1040, 2620, 1003, 1038, 2549, 1003, 1040, 2620, 1003, 29491, 1003, 1040, 2683, 1003, 6640, 1003, 1040, 2620, 1003, 1037, 2683, 1003, 1016, 2497, 1003, 1040, 2620, 1003, 1038, 2549, 1003, 1040, 2620, 1003, 1037, 2581, 1003, 1040, 2620, 1003, 29491, 1003, 1040, 2620, 1003, 1037, 2620, 1003, 1016, 2497, 1003, 1040, 2683, 1003, 6391, 1003, 1040, 2683, 1003, 6391, 1003, 1040, 2620, 1003, 1037, 2629, 1003, 1040, 2683, 1003, 6391, 1003, 1040, 2683, 1003, 6640, 1003, 1040, 2620, 1003, 9779, 1003, 1040, 2620, 1003, 29491, 1003, 1040, 2683, 1003, 6070, 1003, 1040, 2683, 1003, 6564, 1003, 1040, 2683, 1003, 1022, 2050, 1003, 1040, 2620, 1003, 1037, 2581, 1003, 1040, 2620, 1003, 9779, 1003, 1016, 2497, 1003, 1040, 2620, 1003, 9779, 1003, 1040, 2620, 1003, 4748, 1003, 1040, 2620, 1003, 11113, 1003, 1016, 2497, 1003, 1040, 2683, 1003, 5594, 1003, 1040, 2683, 1003, 6070, 1003, 1040, 2620, 1003, 1038, 2620, 1003, 1040, 2683, 1003, 6282, 1003, 1040, 2683, 1003, 1022, 2050, 1003, 1040, 2683, 1003, 6584, 1003, 1040, 2620, 1003, 1037, 2581, 1003, 1016, 2497, 1003, 1040, 2620, 1003, 1038, 2683, 1003, 1040, 2683, 1003, 6391, 1003, 1040, 2683, 1003, 6486, 1003, 1016, 2497, 1003, 1040, 2620, 1003, 1038, 2549, 1003, 1040, 2620, 1003, 29491, 1003, 1040, 2620, 1003, 1037, 2581, 1003, 1040, 2620, 1003, 17350, 1003, 1016, 2497, 1003, 1040, 2683, 1003, 5594, 1003, 1040, 2683, 1003, 6564, 1003, 1040, 2620, 1003, 9779, 1003, 1040, 2620, 1003, 9353, 1003, 1040, 2620, 1003, 1037, 2581, 1003, 1040, 2620, 1003, 9779, 1003, 1040, 2683, 1003, 6584, 1003, 1040, 2620, 1003, 1037, 2581, 1003, 1016, 2497, 1011, 1003, 1016, 10322, 9818, 1003, 1016, 24700, 7974, 2015, 1003, 1016, 2497, 1003, 1040, 2620, 1003, 1038, 2683, 1003, 1040, 2620, 1003, 29491, 1003, 1040, 2620, 1003, 1037, 2620, 1003, 1040, 2683, 1003, 1022, 2050, 1033, 1004, 1060, 14526, 1027, 1031, 2325, 1011, 2340, 1011, 2322, 2102, 10790, 1003, 23842, 2692, 2683, 1003, 23842, 22394, 1012, 2199, 2480, 1033, 1004, 1060, 12521, 1027, 1031, 2325, 1011, 2340, 1011, 2322, 2102, 10790, 1003, 23842, 2692, 2683, 1003, 23842, 22394, 1012, 2199, 2480, 1033, 1004, 25416, 1027, 1032, 1002, 1063, 6254, 2890, 7512, 14544, 1065, 1000, 1010, 1065, 1010, 1000, 3665, 1000, 1024, 4874, 1063, 1000, 14400, 1000, 1024, 6270, 1010, 1000, 3746, 1000, 1024, 2995, 1010, 1000, 1060, 8093, 19894, 1000, 1024, 6270, 1010, 1065, 1010, 1000, 27099, 1000, 1024, 4874, 1063, 1000, 2650, 13704, 8584, 1000, 1024, 4874, 1063, 1000, 2006, 1000, 1024, 1000, 5710, 1000, 1010, 1000, 5227, 1000, 1024, 1000, 3931, 8584, 1000, 1010, 1065, 1010, 1065, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 25095, 3673, 19442, 1015, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 13075, 2015, 1000, 1024, 4874, 1063, 1000, 4180, 13874, 1000, 1024, 1000, 3720, 1011, 2865, 1011, 11412, 1000, 1010, 1000, 5884, 1000, 1024, 1000, 3231, 1012, 4035, 1012, 2522, 1012, 2866, 1000, 1010, 1000, 5433, 1000, 1024, 1000, 5640, 1010, 5640, 1011, 1270, 23673, 29830, 25573, 23673, 22192, 1010, 5640, 1011, 4949, 1010, 5640, 1011, 1270, 23673, 29830, 25573, 23673, 22192, 1011, 4949, 1010, 5640, 1011, 6151, 28344, 1011, 4696, 1000, 1010, 1000, 2516, 1000, 1024, 1000, 1283, 17149, 29835, 19433, 1283, 25573, 17149, 29816, 1294, 23673, 25573, 23673, 29835, 29817, 17149, 29836, 15915, 14498, 25573, 29817, 1273, 29820, 29818, 1295, 29836, 29829, 29833, 14498, 14157, 25573, 1288, 23673, 29837, 1283, 17149, 25573, 29815, 1295, 15915, 29817, 29819, 25573, 29817, 14157, 25573, 1000, 1010, 1000, 21318, 2094, 1000, 1024, 2753, 2683, 18827, 1010, 1000, 7484, 2890, 7512, 14544, 1000, 1024, 1000, 1032, 1002, 1063, 6254, 2890, 7512, 14544, 1065, 1000, 1010, 1065, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 25095, 4012, 9363, 2890, 1015, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 4469, 3126, 14277, 5400, 5244, 1000, 1024, 4874, 1063, 1000, 4012, 9363, 16816, 2860, 1000, 1024, 1000, 23713, 1000, 1010, 1065, 1010, 1000, 13075, 2015, 1000, 1024, 4874, 1063, 1000, 29248, 1000, 1024, 1000, 13036, 26187, 22407, 1000, 1010, 1065, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 1045, 2064, 11562, 2006, 1996, 4035, 16140, 1998, 2009, 2052, 2202, 2033, 2000, 1996, 2188, 13704, 1015, 1036, 1033, 1027, 1036, 1000, 1013, 5640, 1000, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 1045, 2064, 2156, 1996, 3329, 2121, 9385, 1998, 6327, 11383, 3793, 1015, 1036, 1033, 1027, 1036, 1000, 1075, 12609, 1271, 14498, 1271, 14498, 1282, 14498, 1012, 1271, 14498, 1271, 14498, 1282, 14498, 1294, 14498, 29824, 29817, 1295, 29824, 29836, 29836, 23673, 19433, 1288, 15915, 1295, 29820, 29817, 29836, 29837, 1270, 23673, 22192, 29836, 25573, 29834, 29830, 1270, 23673, 29821, 25573, 17149, 29819, 14498, 19433, 1012, 1282, 14498, 25573, 29824, 29817, 15915, 25573, 1271, 29821, 29826, 29836, 29826, 1270, 23673, 17149, 29836, 25573, 29816, 29828, 1270, 23673, 29821, 25573, 17149, 29819, 14498, 19433, 1012, 1000, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 4957, 2323, 2674, 3793, 1998, 24471, 2140, 1015, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 3793, 1000, 1024, 1000, 4035, 2739, 1010, 1288, 17149, 29816, 14498, 1000, 1010, 1000, 24471, 2140, 1000, 1024, 1000, 1013, 5640, 1000, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 4957, 2323, 2674, 3793, 1998, 24471, 2140, 1016, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 3793, 1000, 1024, 1000, 1294, 22192, 25573, 29822, 25573, 1300, 22192, 29835, 15915, 29835, 1270, 23673, 25573, 29830, 29817, 22192, 25573, 15394, 1288, 23673, 29837, 1270, 29821, 29816, 25573, 17149, 1271, 14498, 1271, 14498, 1282, 14498, 1000, 1010, 1000, 24471, 2140, 1000, 1024, 1000, 16770, 1024, 1013, 1013, 7479, 1012, 4035, 1012, 4012, 1013, 5640, 1013, 12148, 1011, 4749, 22407, 14142, 2575, 2683, 1000, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 4957, 2323, 2674, 3793, 1998, 24471, 2140, 1017, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 3793, 1000, 1024, 1000, 1283, 17149, 29836, 29828, 1270, 23673, 25573, 29824, 29817, 29821, 15394, 25573, 22192, 1000, 1010, 1000, 24471, 2140, 1000, 1024, 1000, 16770, 1024, 1013, 1013, 7479, 1012, 4035, 1012, 4012, 1013, 5640, 1013, 12148, 1011, 4261, 2581, 21486, 19481, 2487, 1000, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 4957, 2323, 2674, 3793, 1998, 24471, 2140, 1018, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 3793, 1000, 1024, 1000, 1288, 15915, 1271, 14498, 1271, 14498, 1282, 14498, 1000, 1010, 1000, 24471, 2140, 1000, 1024, 1000, 16770, 1024, 1013, 1013, 7479, 1012, 4035, 1012, 4012, 1013, 5640, 1013, 12148, 1011, 4261, 2581, 21486, 19481, 2475, 1000, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 4957, 2323, 2674, 3793, 1998, 24471, 2140, 1019, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 3793, 1000, 1024, 1000, 1282, 14498, 25573, 29824, 19433, 1270, 23673, 29821, 29826, 29836, 29826, 14498, 19433, 1000, 1010, 1000, 24471, 2140, 1000, 1024, 1000, 16770, 1024, 1013, 1013, 7479, 1012, 4035, 1012, 4012, 1013, 5640, 1013, 12148, 1011, 4261, 2581, 21486, 19481, 2509, 1000, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 4957, 2323, 2674, 3793, 1998, 24471, 2140, 1020, 1036, 1033, 1027, 1036, 4874, 1063, 1000, 3793, 1000, 1024, 1000, 1295, 23673, 29833, 25573, 29817, 1270, 23673, 25573, 17149, 29817, 29816, 25573, 29828, 16324, 1000, 1010, 1000, 24471, 2140, 1000, 1024, 1000, 16770, 1024, 1013, 1013, 7479, 1012, 4035, 1012, 4012, 1013, 2478, 10760, 10322, 2278, 1013, 16324, 1013, 1000, 1010, 1065, 1036, 1025, 14338, 1031, 1036, 23713, 2865, 11412, 3931, 3329, 2121, 4957, 2323, 2674, 3793, 1998, 24471, 2140, 1021, 1036, 1033, 1027, 1036, 4874 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 16464, 2522, 2475, 19034, 1006, 2184, 1007, 9605, 2019, 14611, 10437, 3120, 1006, 4008, 1007, 1998, 2019, 14611, 19034, 1006, 2753, 1007, 26651, 2045, 3406, 5716, 2019, 9380, 4130, 2005, 25952, 1996, 2689, 1999, 2522, 2475, 6693, 1010, 2030, 2019, 27208, 1999, 1037, 12731, 19510, 2618, 1006, 4413, 1007, 1012, 1996, 6434, 1997, 1996, 14611, 19034, 1006, 2753, 1007, 3640, 1037, 2152, 1998, 2659, 10004, 1012, 1012, 1012, 8299, 1024, 1013, 1013, 7479, 1012, 8224, 1012, 6187, 1013, 13979, 1013, 2149, 26224, 24087, 2683, 21472, 1029, 21183, 2213, 1035, 3120, 1027, 16351, 1011, 14246, 7393, 1011, 3745, 17585, 3372, 2149, 26224, 24087, 2683, 21472, 1011, 16464, 2522, 2475, 19034, 4984, 2007, 2152, 3737, 4400, 14192, 16464, 2522, 2475, 19034, 4984, 2007, 2152, 3737, 4400, 14192, 2271, 29302, 28154, 21472, 1037, 10061, 1037, 16464, 2522, 2475, 19034, 1006, 2184, 1007, 9605, 2019, 14611, 10437, 3120, 1006, 4008, 1007, 1998, 2019, 14611, 19034, 1006, 2753, 1007, 26651, 2045, 3406, 5716, 2019, 9380, 4130, 2005, 25952, 1996, 2689, 1999, 2522, 2475, 6693, 1010, 2030, 2019, 27208, 1999, 1037, 12731, 19510, 2618, 1006, 4413, 1007, 1012, 1996, 6434, 1997, 1996, 14611, 19034, 1006, 2753, 1007, 3640, 1037, 2152, 1998, 2659, 10004, 4742, 2000, 2022, 4162, 2000, 1037, 12247, 2491, 7077, 1006, 2260, 1007, 1998, 2000, 2019, 6434, 4984, 1006, 2403, 1007, 1012, 1996, 12247, 2491, 7077, 1006, 2260, 1007, 2950, 1037, 4672, 19034, 1006, 2570, 1007, 1010, 1037, 18701, 19034, 1006, 2484, 1007, 1010, 1037, 8187, 1011, 9381, 16913, 20350, 1006, 2656, 1007, 1998, 1037, 2659, 3413, 11307, 1006, 2654, 1007, 1010, 1996, 3732, 4346, 1037, 5887, 13827, 2006, 1996, 14611, 10437, 1006, 4008, 1007, 1012, 1996, 4672, 19034, 1006, 2570, 1007, 2003, 4198, 2000, 1996, 8187, 1011, 9381, 16913, 20350, 1006, 2656, 1007, 2000, 5441, 1996, 10437, 10004, 5377, 1998, 2003, 4198, 2000, 4012, 28689, 6591, 1006, 5179, 1010, 5786, 1007, 2000, 12826, 2119, 27852, 1997, 1996, 4672, 1998, 18701, 25971, 1006, 2570, 1010, 2484, 1007, 1012, 1996, 18701, 19034, 1006, 2484, 1007, 2097, 6869, 2000, 3796, 4270, 1999, 1996, 12731, 19510, 2618, 1006, 4413, 1007, 1012, 1996, 6434, 2491, 4984, 1006, 2403, 1007, 2950, 1037, 7099, 1011, 1998, 1011, 2907, 4984, 1006, 2382, 1007, 1998, 1037, 4942, 6494, 16761, 1006, 3590, 1007, 4198, 2000, 1996, 6434, 1997, 2056, 14611, 19034, 2000, 4374, 1996, 2152, 1998, 2659, 10004, 4742, 2013, 1996, 14611, 19034, 1010, 1996, 27852, 1997, 2029, 3965, 2019, 6434, 4742, 2302, 1996, 5887, 13827, 2029, 2003, 2059, 20037, 2000, 3073, 1037, 2152, 3737, 4400, 14192, 1012, 4871, 1006, 1015, 1007, 4447, 1006, 1021, 1007, 2057, 4366, 1024, 1015, 1012, 1037, 2522, 2475, 19034, 2005, 8822, 1037, 5776, 1005, 1055, 3052, 1999, 19531, 3508, 1998, 4654, 19531, 3508, 2856, 2083, 1037, 12731, 19510, 2618, 1010, 9605, 1010, 2019, 14611, 10437, 2383, 2019, 7953, 1998, 26651, 2000, 1037, 10437, 10004, 4162, 2045, 3406, 1010, 1037, 4984, 2164, 1037, 8187, 1011, 9381, 16913, 20350, 1998, 1037, 2659, 15194, 11307, 4198, 2000, 2056, 10437, 7953, 2000, 3073, 2056, 10437, 7953, 10004, 1010, 2019, 14611, 19034, 1010, 1037, 3653, 16613, 3669, 8873, 2121, 2383, 2019, 7953, 1998, 2019, 6434, 1010, 2056, 7953, 2108, 4198, 2000, 2056, 14611, 19034, 1010, 2056, 10437, 2108, 10959, 2000, 3073, 2019, 9380, 4130, 2083, 1037, 12731, 19510, 2618, 1998, 17727, 23496, 2006, 2056, 14611, 19034, 1010, 2056, 14611, 19034, 1998, 2056, 3653, 16613, 3669, 8873, 2121, 2108, 3833, 1998, 5412, 2061, 2008, 1996, 6434, 1997, 1996, 14611, 19034, 1998, 3653, 16613, 3669, 8873, 2121, 2097, 3965, 2019, 5992, 4400, 14192, 4387, 1997, 1996, 11712, 1997, 2522, 2475, 1999, 2056, 12731, 19510, 2618, 1010, 2056, 4400, 14192, 2383, 2152, 10004, 11373, 5052, 2659, 2522, 2475, 1998, 2659, 10004, 12467, 5052, 2152, 2522, 2475, 1010, 2056, 14611, 10437, 2108, 3833, 1998, 5412, 2000, 2022, 26651, 2000, 1996, 6434, 1997, 2056, 8187, 1011, 9381, 16913, 20350, 1998, 2659, 15194, 11307, 2029, 5320, 1996, 3653, 16613, 3669, 8873, 2121, 2000, 2031, 1037, 4431, 1006, 26163, 1007, 5887, 2504, 1010, 1037, 4672, 19034, 2164, 1037, 2034, 22110, 2897, 2383, 2019, 7953, 1998, 2019, 6434, 1010, 2056, 2034, 22110, 2897, 2383, 1037, 3653, 3207, 3334, 25089, 11889, 2051, 5377, 1010, 1037, 2034, 6942, 4198, 2090, 2056, 3653, 16613, 3669, 8873, 2121, 1998, 2056, 2034, 22110, 2897, 2061, 2008, 2043, 2056, 2034, 6942, 2003, 2701, 1996, 6434, 1997, 2056, 3653, 16613, 3669, 8873, 2121, 2097, 3715, 2056, 2034, 22110, 2897, 1998, 2043, 2056, 2034, 6942, 2003, 2330, 2056, 2034, 22110, 2897, 2097, 11889, 1010, 1998, 1037, 2034, 4012, 28689, 4263, 2383, 2019, 6434, 4198, 2000, 5452, 2056, 6942, 1998, 2383, 1037, 2034, 7953, 4198, 3495, 2000, 1996, 6434, 1997, 2056, 3653, 16613, 3669, 8873, 2121, 1998, 2383, 1037, 2117, 7953, 4198, 2000, 1996, 6434, 1997, 2056, 2034, 22110, 2897, 2000, 12826, 1996, 10004, 2504, 2012, 1996, 6434, 1997, 2056, 3653, 16613, 3669, 8873, 2121, 2007, 1996, 10004, 2504, 2012, 1996, 6434, 1997, 2056, 22110, 2897, 2061, 2008, 2056, 2034, 6942, 2097, 2022, 2441, 2030, 2701, 5834, 2588, 1996, 4102, 10004, 2015, 1010, 16726, 1996, 6434, 2013, 2056, 2034, 22110, 2897, 2097, 6611, 1037, 10004, 2061, 2056, 8187, 1011, 9381, 16913, 20350, 1998, 2056, 2659, 15194, 11307, 2000, 2491, 1996, 10437, 7953, 10004, 1010, 1037, 18701, 19034, 2164, 1037, 2117, 4012, 28689, 4263, 2383, 2019, 6434, 1998, 2048, 20407, 1010, 1037, 2117, 22110, 2897, 2383, 2019, 7953, 4198, 2000, 1996, 6434, 1997, 2056, 3653, 16613, 3669, 8873, 2121, 1998, 2383, 2019, 6434, 4198, 2000, 2028, 7953, 1997, 2056, 2117, 4012, 28689, 4263, 1010, 2056, 2117, 22110, 2897, 2383, 1037, 11889, 2051, 5377, 7820, 2084, 2056, 11889, 2051, 5377, 1997, 2056, 2034, 22110, 2897, 1010, 1037, 5887, 10004, 3120, 2383, 1037, 3893, 5536, 1998, 1037, 4997, 5536, 1010, 2056, 4997, 5536, 2108, 4198, 2000, 1037, 2117, 7953, 1997, 2056, 2117, 4012, 28689, 4263, 1998, 1996, 3893, 5536, 2108, 4198, 2000, 2056, 2117, 7953, 1997, 2056, 2034, 4012, 28689, 4263, 1010, 1996, 6434, 1997, 2056, 2117, 4012, 28689, 4263, 2108, 4198, 2000, 5452, 2056, 2034, 6942, 2000, 7532, 1996, 7953, 1997, 2056, 2034, 22110, 2897, 2007, 1996, 3653, 16613, 3669, 8873, 2121, 6434, 2012, 1037, 3653, 11246, 22471, 2098, 3643, 1997, 4102, 10004, 2015, 1010, 13557, 2056, 18701, 19034, 2097, 2058, 15637, 1996, 4672, 19034, 1998, 5333, 1996, 10004, 2006, 1996, 10437, 1999, 1996, 2724, 1997, 18701, 1997, 1996, 12731, 19510, 2618, 1012, 1016, 1012, 1996, 2522, 2475, 19034, 2004, 3555, 1999, 4366, 1015, 1010, 2582, 2164, 1037, 4942, 6494, 16761, 2383, 1037, 2034, 7953, 11211, 2000, 2056, 3653, 16613, 3669, 8873, 2121, 6434, 1010, 1998, 2383, 1037, 2117, 7953, 1010, 1037, 7099, 1011, 1998, 1011, 2907, 4984, 2383, 2019, 7953, 7532, 3085, 2000, 2056, 3653, 16613, 3669, 8873, 2121, 6434, 2083, 1037, 2117, 6942, 1998, 2019, 6434, 4198, 2000, 2056, 2117, 7953, 1997, 2056, 4942, 6494, 16761, 1010, 2056, 2117, 6942, 2108, 3833, 1998, 5412, 2000, 2330, 1998, 2485, 15442, 2007, 2056, 2034, 6942, 1010, 13557, 1996, 4400, 14192, 6434, 2013, 2056, 4942, 6494, 16761, 2097, 3965, 1037, 4400, 14192, 4387, 1997, 1996, 6693, 1997, 2522, 2475, 1999, 2056, 12731, 19510, 2618, 1010, 2021, 20037, 1012, 1017, 1012, 1996, 2522, 2475, 19034, 2004, 3555, 1999, 4366, 1016, 2582, 2164, 2965, 2005, 1999, 16874, 2075, 2056, 4942, 6494, 16761, 6434, 4400, 14192, 2005, 5155, 1037, 2152, 3737, 4400, 14192, 6434, 1012, 1018, 1012, 1996, 2522, 2475, 19034, 2004, 3555, 1999, 4366, 1017, 16726, 2056, 10437, 7953, 10004, 2003, 21183, 18622, 4143, 3468, 2005, 29170, 2019, 8598, 4387, 1997, 2019, 27208, 1999, 2056, 12731, 19510, 2618, 1012, 1019, 1012, 1999, 1037, 2522, 2475, 19034, 2164, 1037, 12731, 19510, 2618, 1010, 1037, 4984, 2164, 2019, 14611, 10437, 26651, 2000, 1037, 10004, 4162, 2000, 2019, 7953, 21739, 1010, 1037, 10437, 7953, 4984, 1010, 1998, 2019, 14611, 19034, 1998, 19034, 3653, 16613, 3669, 8873, 2121, 11211, 2045, 3406, 1010, 2056, 3653, 16613, 3669, 8873, 2121, 2383, 2019, 6434, 2007, 1037, 4431, 1006, 26163, 1007, 10004, 2504, 1010, 2056, 10437, 2108, 10959, 2000, 5665, 12717, 12556, 2019, 9380, 4130, 2083, 2056, 12731, 19510, 2618, 2061, 2008, 1996, 14611, 19034, 1998, 19034, 3653, 16613, 3669, 8873, 2121, 2097, 3965, 2019, 6434, 4742, 10004, 4387, 1997, 1996, 11712, 1997, 2522, 2475, 1999, 2056, 12731, 19510, 2618, 1010, 2008, 2003, 1010, 2056, 4431, 10004, 2504, 2005, 6263, 2522, 2475, 6693, 1998, 1037, 2117, 10004, 2504, 2005, 4555, 2522, 2475, 6693, 1010, 1996, 7620, 9605, 1037, 12247, 5114, 2491, 7077, 1998, 2019, 6434, 4984, 1010, 2056, 12247, 2491, 7077, 2108, 4225, 2011, 2034, 2965, 1998, 2117, 2965, 1010, 1998, 2056, 6434, 4984, 2108, 4225, 2011, 2353, 2965, 1010, 2056, 2034, 2965, 9605, 1037, 4672, 19034, 2383, 1037, 2034, 7953, 4198, 2000, 2056, 19034, 3653, 16613, 3669, 8873, 2121, 6434, 2061, 2004, 2000, 2022, 26651, 2000, 2056, 6434, 4742, 10004, 1010, 1998, 1010, 1037, 2117, 7953, 7532, 3085, 2000, 2056, 19034, 3653, 16613, 3669, 8873, 2121, 6434, 2083, 1037, 2034, 6942, 1010, 1998, 2019, 6434, 4198, 2000, 2056, 14611, 10437, 7953, 4984, 1010, 2056, 2034, 2965, 2582, 2164, 1037, 2034, 6178, 6305, 13043, 10984, 2965, 2164, 1037, 2598, 4434, 1998, 2383, 2019, 7953, 4198, 2000, 2056, 6942, 1998, 2383, 2019, 6434, 12854, 2056, 6434, 1997, 2056, 4672, 19034, 1010, 2056, 10984, 2965, 2383, 1037, 3653, 3207, 3334, 25089, 11889, 2051, 5377, 1010, 13557, 2056, 2034, 6178, 6305, 13043, 10984, 2965, 2003, 2904, 2011, 2056, 3653, 16613, 3669, 8873, 2121, 6434, 4742, 10004, 2043, 2056, 2034, 6942, 2003, 2701, 1998, 11889, 2015, 2083, 2056, 2598, 4434, 2043, 2056, 2034, 6942, 2003, 2330, 1010, 1998, 1010, 13599, 2965, 2383, 1037, 2034, 7953, 4198, 2000, 2056, 19034, 3653, 16613, 3669, 8873, 2121, 6434, 1998, 1037, 2117, 7953, 4198, 2000, 1996, 6434, 1997, 2056, 2034, 6178, 6305, 13043, 10984, 2965, 2005, 13599, 2056, 3653, 16613, 3669, 8873, 2121, 6434, 4742, 10004, 1998, 1996, 10004, 2012, 1996, 6434, 1997, 2056, 2034, 6178, 6305, 13043, 10984, 2965, 1010, 2056, 13599, 2965, 2383, 2019, 6434, 3833, 1998, 5412, 2000, 2330, 1998, 2485, 1996, 2034, 6942, 1999, 3433, 2000, 1996, 4102, 10004, 2015, 2061, 2008, 2056, 2034, 6178, 6305, 13043, 10984, 2965, 2097, 11889, 2043, 2056, 2034, 6942, 2003, 2330, 1998, 2947, 6611, 2049, 10004, 2000, 2056, 10437, 7953, 4984, 2000, 5441, 1996, 4431, 1006, 26163, 1007, 10004, 1997, 1996, 19034, 3653, 16613, 3669, 8873, 2121, 6434, 2012, 1037, 3053, 5377, 3643, 1010, 2056, 2117, 2965, 9605, 1037, 18701, 19034, 2383, 2019, 6434, 11211, 2000, 5452, 2056, 2034, 6942, 1010, 2056, 18701, 19034, 2582, 2164, 1037, 2117, 6178, 6305, 13043, 10984, 2965, 2383, 2019, 7953, 5338, 2011, 2056, 3653, 16613, 3669, 8873, 2121, 6434, 4742, 10004, 1010, 2056, 2117, 6178, 6305, 13043, 10984, 2965, 2383, 1037, 7820, 11889, 2051, 5377, 2084, 2056, 2034, 6178, 6305, 13043, 10984, 2965, 1010, 1998, 2582, 2383, 2019, 6434, 1010, 1037, 2117, 13599, 2965, 2007, 2028, 7953, 11211, 2000, 1996, 6434, 1997, 2056, 2117, 6178, 6305, 13043, 10984, 2965, 1998, 2007, 1037, 2117, 7953, 11211, 2000, 1996, 6434, 1997, 2056, 2034, 6178, 6305, 13043, 10984, 2965, 2005, 13599, 1996, 6434, 10004, 2015, 1997, 2056, 2034, 1998, 2117, 6178, 6305, 13043, 10984, 2965, 1010, 2056, 2117, 13599, 2965, 2383, 2019, 6434, 12854, 2056, 6434, 1997, 1996, 18701, 19034, 2029, 2003, 3833, 1998, 5412, 2000, 2485, 1996, 2034, 6942, 1999, 3433, 2000, 4102, 10004, 2015, 24668, 1997, 10851, 1997, 2056, 12731, 19510, 2618, 1010, 16726, 2056, 2034, 6178, 6305, 13043, 10984, 2965, 5320, 2056, 10437, 7953, 4984, 2000, 3298, 1996, 10437, 2007, 1037, 3020, 10004, 2504, 2000, 5441, 1996, 4431, 10004, 2504, 12381, 5377, 1025, 1998, 2056, 2353, 2965, 2164, 1037, 4942, 6494, 21162, 2383, 2028, 7953, 11211, 2000, 1996, 6434, 1997, 2056, 19034, 3653, 16613, 3669, 8873, 2121, 2061, 2004, 2000, 2022, 26651, 2000, 2049, 6434, 4742, 10004, 1010, 1037, 7099, 1011, 1998, 1011, 2907, 4984, 2383, 2019, 7953, 11211, 2000, 2056, 19034, 3653, 16613, 3669, 8873, 2121, 2083, 1037, 2117, 6942, 1010, 2056, 2117, 6942, 2108, 3833, 1998, 5412, 2061, 2004, 2000, 2022, 2441, 1998, 2701, 7453, 2007, 2056, 2034, 6942, 1010, 2056, 7099, 1998, 2907, 4984, 2383, 2019, 6434, 4198, 2000, 1037, 2117, 7953, 1997, 2056, 4942, 6494, 21162, 2005, 15349, 1996, 4431, 1006, 26163, 1007, 10004, 1999, 2056, 3653, 16613, 3669, 8873, 2121, 6434, 4742, 10004, 1010, 8558, 4346, 2019, 6434, 4742, 4400, 14192, 7978, 2000, 1996, 2522, 2475, 6693, 3431, 10066, 2306, 2056, 12731, 19510, 2618, 1998, 1997, 2107, 3737, 2008, 1996, 6434, 4742, 2089, 2022, 6179, 2005, 16474, 5682, 1012, 1020, 1012, 1996, 5301, 19034, 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 ]