Tristan/t5-small-october-wikipedia-2022-tokenized-512

input_ids sequencelengths 512 512	attention_mask sequencelengths 512 512	special_tokens_mask sequencelengths 512 512
[ 10403, 89, 491, 18, 308, 77, 350, 10557, 23, 41, 196, 196, 61, 3, 23, 115, 29, 1534, 210, 1259, 26, 41, 117, 423, 564, 10, 10403, 89, 491, 18, 308, 77, 350, 10557, 23, 2466, 3, 23, 115, 29, 1534, 210, 1259, 26, 3, 23, 115, 29, 9155, 122, 23, 117, 3977, 850, 2079, 61, 47, 3, 9, 1027, 1468, 23, 26, 262, 5884, 13, 6698, 83, 6, 8, 23213, 13, 10037, 3, 9, 26, 18, 308, 77, 9155, 122, 23, 5, 216, 1632, 262, 5884, 13, 6698, 83, 16, 850, 2518, 227, 8, 1687, 13, 112, 2353, 2415, 17, 115, 3, 9, 26, 18, 308, 77, 1534, 210, 1259, 26, 5, 1138, 99, 141, 118, 3934, 38, 8, 22261, 365, 8, 1867, 13, 3, 15, 202, 2295, 3, 22, 8952, 26, 491, 18, 329, 9, 7, 1273, 6, 113, 1114, 12, 453, 8, 1231, 3356, 16, 4618, 13, 8, 1021, 3, 15, 5884, 117, 8, 1028, 23665, 520, 13, 1534, 210, 1259, 26, 6, 27, 11374, 3, 9, 26, 18, 308, 77, 9155, 122, 23, 2466, 6, 21761, 12, 15345, 1572, 32, 44, 8, 1614, 13, 10037, 3, 9, 26, 18, 308, 77, 5, 37, 7722, 6, 113, 47, 2794, 21, 46, 10553, 12, 3, 4515, 226, 6698, 83, 6, 24025, 15, 26, 8271, 5670, 16, 1600, 850, 2518, 11, 36, 2452, 5402, 6698, 83, 6, 84, 23970, 15, 26, 30, 1630, 1762, 850, 4450, 5, 621, 407, 11026, 491, 18, 329, 9, 7, 1273, 6, 3, 88, 474, 350, 1272, 9017, 7, 107, 15150, 77, 6, 80, 13, 112, 5803, 6, 38, 13062, 6, 3140, 1138, 99, 3, 76, 26, 18, 308, 77, 1327, 68, 8, 19680, 2233, 13, 3, 15, 5884, 5, 37, 7722, 92, 4464, 8, 3062, 13, 10037, 3, 9, 26, 18, 308, 77, 5, 486, 10037, 3, 9, 26, 18, 308, 77, 31, 7, 1687, 41, 15881, 850, 4581, 201, 350, 1272, 9017, 7, 107, 15150, 77, 877, 12, 10939, 9, 7, 1071, 7, 12, 240, 610, 13, 112, 520, 11, 7201, 2448, 13, 44, 9, 346, 122, 13, 15345, 1572, 32, 5, 1138, 99, 3, 76, 26, 18, 308, 77, 12967, 112, 11179, 545, 11, 13216, 112, 12315, 5, 37, 17243, 7, 13, 10939, 9, 7, 1071, 7, 6, 9220, 57, 350, 1272, 9017, 7, 107, 15150, 77, 31, 7, 3094, 579, 6, 1860, 1138, 99, 3, 76, 26, 18, 308, 77, 70, 690, 6, 68, 3, 88, 228, 59, 7770, 15, 437, 3, 88, 47, 3164, 16, 3, 60, 14867, 6698, 83, 5, 37, 3772, 1161, 189, 10939, 9, 7, 1071, 7, 47, 787, 12, 8930, 2644, 5, 8930, 2644, 808, 610, 13, 14918, 9, 1259, 18, 134, 1483, 41, 134, 63, 52, 23, 9, 61, 68, 1138, 99, 3, 76, 26, 18, 308, 77, 1114, 12, 240, 147, 15345, 1572, 32, 6, 78, 3, 88, 1622, 112, 4284, 27, 5271, 3, 9, 26, 18, 308, 77, 6664, 31, 76, 26, 44, 8, 819, 13, 46, 9102, 12, 2870, 8930, 2644, 10, 79, 1736, 16, 46, 616, 1084, 5845, 9, 718, 15031, 29 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5845, 9, 41, 188, 7093, 447, 10, 3, 2, 3, 2, 61, 213, 1138, 99, 3, 76, 26, 18, 308, 77, 47, 17025, 5, 10511, 3, 88, 2657, 21, 430, 3392, 44, 8779, 491, 18, 134, 83, 17, 152, 41, 188, 7093, 447, 10, 3, 2, 3, 2, 61, 1084, 15345, 1572, 32, 6, 213, 3, 88, 47, 92, 17025, 117, 3, 88, 877, 223, 12, 6698, 83, 11, 1622, 28110, 7, 12, 8930, 2644, 1772, 112, 15454, 6, 84, 47, 4307, 5, 1138, 99, 3, 76, 26, 18, 308, 77, 3977, 45, 6244, 49, 1497, 32, 7, 159, 6, 11, 112, 4284, 27, 5271, 3, 9, 26, 18, 308, 77, 6664, 31, 76, 26, 22399, 376, 16, 850, 2079, 5, 17881, 7, 9149, 7, 850, 2079, 14319, 9155, 122, 23, 26, 3, 15, 5884, 7, 13, 6698, 83, 16932, 13, 8, 12461, 7, 9, 1395, 586, 189, 18, 14006, 14319, 45, 6244, 49, 1497, 32, 7, 159, 2929, 13, 3879, 7752, 586, 189, 18, 14006, 28397, 7, 16, 8, 4551, 1932, 21488, 52, 1497, 32, 7, 159, 14319, 16, 7457, 1, 15877, 16332, 9, 16658, 2786, 18565, 19, 3, 9, 307, 21455, 10130, 84, 3154, 16, 848, 32, 221, 3939, 16, 22503, 1823, 1259, 6, 1547, 5, 37, 10130, 19, 3, 9, 10645, 18, 1583, 17643, 10130, 6, 13126, 57, 16332, 9, 16658, 7, 9, 1478, 10939, 11, 3, 16827, 5339, 7, 6864, 940, 27880, 3, 17256, 7, 13, 1322, 5, 37, 711, 10130, 3305, 7, 16118, 26, 9750, 195, 23, 11, 71, 9782, 3304, 15414, 17, 9, 23, 6047, 84, 3, 16827, 5339, 8, 10357, 179, 3, 6347, 5, 37, 10130, 47, 8, 2241, 11495, 283, 5, 188, 1122, 2910, 152, 6, 1144, 13, 8, 14751, 7889, 13, 8, 848, 32, 221, 6439, 4392, 16, 8, 778, 10247, 7, 5, 17881, 7, 1610, 92, 5740, 53, 9, 2866, 152, 18565, 848, 32, 221, 3939, 18565, 7, 16, 22503, 1823, 1259, 1263, 115, 362, 10652, 102, 22858, 51, 16332, 9, 16658, 2473, 1, 1823, 2866, 152, 547, 3545, 41, 61, 19, 3, 9, 7021, 13, 16332, 76, 354, 3791, 19224, 9, 13, 2695, 17, 2408, 2444, 3570, 5, 961, 5984, 5690, 13, 1823, 2866, 152, 547, 3, 10, 11363, 6192, 9704, 41, 3390, 5, 1298, 2280, 4416, 61, 2, 10450, 1117, 10, 2744, 17, 1635, 9, 3545, 1932, 10, 1534, 4953, 524, 16250, 3234, 9, 702, 521, 1013, 10, 16332, 76, 354, 3791, 3545, 1244, 10, 925, 17, 1639, 1106, 9, 5617, 10971, 11, 8208, 7, 9, 7253, 3234, 29885, 107, 29659, 486, 8, 9957, 19039, 23087, 6, 1823, 2866, 152, 547, 3545, 141, 3, 9, 2074, 13, 12992, 22520, 5, 2855, 1823, 2866, 152, 547, 15125, 1888, 5, 1823, 2866, 152, 547, 41, 9939, 8492, 342, 61, 1592, 1121, 5, 1823, 2866, 152, 547, 5523, 5428, 12380, 9, 5, 1823, 2866, 152, 547, 41, 3541, 152, 3791, 61, 1592, 1121, 5, 3926, 17, 19220, 9, 17416, 17, 14542, 1121, 5, 1823, 2866, 152, 547, 17416, 17, 5, 14542, 1121, 5, 3736, 354, 28569, 521, 17416, 17, 5, 14542, 1121, 5 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 8208, 7061, 547, 1592, 1121, 5, 8208, 7061, 547, 17416, 17, 5, 14542, 496, 5, 1290, 1024, 15603, 127, 7777, 5, 14542, 1121, 1138, 107, 17, 19220, 9, 216, 1135, 2520, 10172, 5428, 12380, 9, 27885, 7, 11, 4860, 291, 7, 1823, 2866, 152, 547, 11, 8208, 7061, 547, 19, 8, 711, 9895, 16, 8, 7021, 5, 3926, 17, 19220, 9, 4860, 52, 7305, 7, 11, 13102, 1629, 7, 12402, 3791, 6, 309, 1024, 3920, 107, 173, 6, 13550, 76, 173, 17466, 9, 6, 3, 7, 3, 2047, 354, 28569, 521, 6, 567, 3736, 354, 28569, 521, 6, 1626, 102, 11219, 6, 3068, 3439, 3791, 5, 1244, 12402, 26, 3791, 3926, 17, 19220, 9, 5, 17881, 7, 3545, 7, 13, 16332, 76, 354, 3791, 19224, 9, 1, 6538, 12677, 77, 1491, 2, 75, 1629, 18, 279, 106, 23, 5007, 23, 2863, 4018, 104, 19479, 9120, 47, 3, 9, 16073, 2377, 5, 71, 244, 7003, 127, 13, 8, 17562, 6145, 2856, 20821, 3768, 15, 157, 6, 3, 88, 3, 15, 27467, 12, 8, 907, 1323, 13, 1371, 16, 24011, 5, 2106, 5984, 8840, 280, 4523, 23, 5007, 23, 31, 7, 2353, 6, 3, 9, 16073, 6234, 12884, 6, 47, 20, 16262, 12, 925, 115, 4476, 116, 4523, 23, 5007, 23, 47, 874, 5, 4523, 23, 5007, 23, 31, 7, 2039, 3260, 12, 1130, 28, 160, 502, 5, 37, 4616, 826, 8, 4263, 12197, 2546, 46, 1004, 21, 4523, 23, 5007, 23, 6, 112, 2039, 11, 112, 19665, 12, 7560, 550, 5, 438, 231, 8565, 79, 435, 3, 9, 194, 12, 14354, 6, 15315, 16, 957, 2658, 5, 4523, 23, 5007, 23, 7463, 44, 8, 4702, 13, 11456, 4218, 16, 1602, 13125, 6, 11, 9461, 16, 27332, 5, 216, 2546, 186, 10519, 7, 274, 8, 615, 6, 3, 20283, 26337, 13, 4229, 17, 6, 3, 25390, 1213, 44, 8, 868, 3312, 6, 1602, 13125, 5, 216, 47, 5539, 3, 9, 3574, 4757, 13, 22045, 2, 17, 9, 6, 8, 16073, 14119, 868, 3312, 13, 11456, 4218, 5, 1150, 1602, 2466, 621, 8, 615, 8238, 91, 6, 4523, 23, 5007, 23, 3311, 8, 16073, 13104, 5673, 5, 86, 957, 3288, 3, 88, 1279, 38, 3, 9, 6662, 12781, 6, 11, 45, 15830, 12, 24466, 808, 294, 16, 3485, 29563, 16, 1602, 13125, 6, 3325, 18, 26, 23, 20066, 2466, 365, 8, 22726, 29, 63, 51, 96, 188, 7812, 1280, 216, 47, 10195, 57, 8, 350, 222, 9521, 16, 1797, 24466, 11, 4840, 23790, 15, 26, 11, 1413, 3822, 920, 44, 8, 3, 25360, 22559, 23, 1639, 5714, 5, 37, 3772, 3, 88, 47, 1622, 12, 20821, 3768, 15, 157, 6145, 2856, 5, 3, 4868, 271, 3, 9, 1426, 13, 17562, 12341, 11, 1120, 9, 12013, 1124, 44, 8, 2856, 6, 4523, 23, 5007, 23, 2925, 2934, 53, 10519, 7, 91, 13, 2891, 3, 88, 228, 253, 12, 2454, 897, 11, 23085, 16, 112, 4999, 22040, 6, 11, 16, 2594, 13, 273, 26313, 5, 978, 8672, 24981, 10519, 7, 1285, 10, 37, 377, 3822, 41, 89, 32, 14016, 77, 61, 37, 3794, 235, 159, 15, 37 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5245, 10341, 7, 7758, 10294, 440, 41, 13208, 801, 38, 8, 29926, 13, 5245, 10341, 7, 61, 37, 21085, 28, 9548, 37, 17814, 986, 37, 4488, 9249, 366, 2569, 28, 46, 1004, 6, 4523, 23, 5007, 23, 4382, 3, 9, 10519, 13, 386, 3, 15, 9, 3537, 7, 12, 8, 2856, 4298, 6, 113, 4307, 8, 462, 6, 19960, 8, 3, 15, 9, 3537, 7, 130, 3, 9, 2968, 6083, 5, 299, 8, 5245, 10341, 7, 7758, 10294, 440, 24, 3, 88, 2546, 29543, 26, 6, 859, 119, 378, 6, 8, 4333, 13, 14354, 6, 4284, 4500, 6, 11, 20020, 5, 886, 936, 3, 23604, 13, 8, 8926, 13, 8, 1807, 10751, 7, 130, 2829, 120, 2681, 441, 8, 10519, 5, 37, 5245, 10341, 7, 7758, 10294, 440, 47, 10932, 227, 8, 615, 11, 3, 9, 20532, 47, 990, 16, 20236, 57, 11469, 159, 2, 9, 210, 5500, 4164, 2, 63, 2, 4009, 6, 57, 455, 13, 8, 16073, 789, 11, 581, 4523, 23, 5007, 23, 31, 7, 9543, 5, 100, 20532, 41, 2338, 26241, 2416, 61, 3048, 30, 1831, 44, 8, 20821, 3768, 15, 157, 3312, 5, 486, 8, 337, 97, 6, 4523, 23, 5007, 23, 47, 8, 5752, 13, 1375, 584, 13, 27228, 40, 291, 172, 6, 11, 3, 9094, 251, 441, 8, 2856, 21, 3, 22878, 13, 8, 16073, 789, 18, 77, 18, 994, 699, 5, 2784, 47, 3, 7, 51, 13917, 1361, 16, 11, 91, 13, 8, 2856, 3860, 120, 5, 438, 8, 199, 13, 8, 16073, 1210, 6788, 6, 4523, 23, 5007, 23, 3, 28423, 16, 21930, 11, 6, 1066, 145, 8079, 15, 53, 8, 684, 6, 4258, 26, 112, 3485, 29563, 1087, 5, 216, 808, 294, 16, 8, 1602, 13125, 3234, 52, 4890, 11, 47, 541, 9534, 57, 8, 17562, 7, 5, 216, 2804, 190, 8, 2968, 5714, 49, 18, 858, 18, 2910, 15926, 44, 15763, 7, 8716, 6, 17969, 12896, 6, 11, 2031, 5440, 115, 32, 7, 1625, 6, 213, 3, 88, 47, 5486, 920, 57, 2390, 3859, 5, 1844, 18, 2910, 4523, 23, 5007, 23, 10166, 16, 1919, 213, 3, 88, 1736, 112, 2512, 480, 651, 7, 17, 63, 29, 9, 4523, 23, 5007, 23, 41, 8459, 7617, 295, 138, 201, 92, 46, 2377, 5, 328, 2925, 3, 12184, 53, 11, 3924, 6, 11, 92, 1597, 3472, 8723, 21, 502, 6, 859, 135, 3, 9, 28358, 20688, 21, 8, 5480, 5, 86, 24011, 8, 1158, 2301, 12, 12154, 6, 2312, 6, 11, 1632, 837, 5169, 16, 18969, 5, 10511, 79, 2301, 12, 332, 83, 7, 9, 6, 12157, 5, 20499, 6981, 7, 96, 8931, 1273, 14119, 22371, 7, 1686, 868, 1261, 3312, 16, 1602, 13125, 96, 8931, 1273, 9152, 7, 22371, 7, 1686, 868, 1261, 7557, 16, 1602, 13125, 896, 2501, 16, 16073, 925, 965, 23, 9, 6, 2106, 15, 40, 17869, 18, 279, 23, 138, 9, 96, 5420, 13506, 1575, 13, 16073, 9152, 7, 2125, 16, 1919, 1686, 16073, 12930, 63, 16, 1919, 96, 427, 7, 19882, 26566, 3037, 29, 9, 172, 6318, 15, 1227, 1261, 15, 1138, 2935, 1686, 13886, 3286, 23 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9, 4292, 9, 26, 11658, 20, 40, 16620, 88, 106, 6, 7332, 1331, 1384, 6, 12154, 6, 6144, 19650, 109, 2037, 1015, 1925, 6, 19650, 109, 2037, 6, 6144, 96, 329, 1092, 35, 2552, 13, 14354, 1686, 6144, 636, 6, 25591, 6, 6144, 9470, 1261, 7557, 6, 12154, 6, 6144, 23996, 930, 347, 16, 452, 628, 37, 3794, 235, 159, 15, 6, 1015, 3312, 44, 20821, 3768, 15, 157, 41, 21878, 4427, 61, 37, 29926, 13, 5245, 10341, 7, 6, 1015, 3312, 44, 20821, 3768, 15, 157, 41, 60, 26471, 61, 37, 17814, 986, 6, 1015, 3312, 44, 20821, 3768, 15, 157, 41, 21878, 4427, 61, 472, 5, 11065, 309, 31, 188, 7, 7, 23, 2260, 6, 3312, 16, 7332, 41, 21770, 6, 13467, 61, 6206, 15254, 257, 6, 16073, 2345, 16, 7332, 41, 10309, 49, 11962, 109, 6, 13467, 61, 2702, 2780, 15, 12, 2146, 1571, 1169, 7, 20, 325, 89, 15, 63, 1954, 6, 25917, 1166, 1061, 6, 12154, 6, 6144, 41, 6042, 835, 6, 13467, 3, 18, 217, 26241, 11368, 61, 472, 5, 11065, 309, 31, 188, 7, 7, 23, 2260, 6, 3312, 16, 7332, 41, 21770, 6, 13467, 61, 37, 21085, 6, 16, 851, 13, 8, 4351, 31, 7, 4457, 6, 2318, 21746, 41, 89, 32, 14016, 77, 6, 13467, 61, 17190, 6120, 4737, 13, 3833, 127, 41, 29712, 6, 24466, 61, 4737, 13, 3833, 127, 2863, 3628, 61, 17881, 7, 26241, 2416, 1015, 3312, 44, 20821, 3768, 15, 157, 3, 18, 13686, 3238, 419, 26471, 13, 8, 5245, 10341, 7, 7758, 10294, 440, 5994, 3920, 53, 10, 2702, 2780, 15, 12, 2146, 1571, 1169, 7, 20, 325, 89, 15, 63, 1954, 957, 4018, 3879, 7, 7273, 14319, 16073, 3, 15, 12549, 17, 7, 12, 8, 907, 1323, 1210, 6788, 724, 20821, 3768, 15, 157, 6145, 2856, 20983, 4702, 13, 11456, 4218, 16, 1602, 13125, 10644, 460, 189, 18, 14006, 16073, 3, 12184, 127, 7, 1, 37, 868, 12826, 30, 6564, 3677, 19, 3, 9, 3579, 18, 1748, 1657, 21, 3, 9, 643, 13, 1341, 6120, 21, 4092, 768, 263, 30, 6, 42, 28, 6, 1040, 5, 1485, 5539, 16, 6260, 6, 34, 19, 8, 22261, 605, 12, 8, 4328, 3397, 13, 21969, 11, 8, 6763, 7, 4292, 1169, 7, 23, 3268, 5, 37, 2760, 19, 263, 923, 7419, 120, 6, 3578, 383, 8, 203, 6260, 12, 2766, 6, 11, 4407, 12, 16931, 116, 34, 47, 263, 10943, 5, 37, 2760, 11, 165, 975, 287, 155, 288, 4473, 33, 6523, 57, 8, 16182, 17, 106, 20936, 7676, 7557, 6, 1069, 16, 16182, 17, 106, 6, 2051, 5, 86, 2628, 6, 8, 792, 6441, 2201, 13, 8, 868, 12826, 30, 6564, 2760, 47, 1494, 71, 3229, 591, 5898, 11, 141, 386, 3379, 10, 37, 1079, 22433, 159, 4292, 1169, 7, 23, 3268, 3677, 6, 12695, 44, 71, 3229, 536, 5898, 117, 37, 16182, 17, 106, 20936, 7676, 4804, 60, 31713, 3563, 6120, 6, 12695, 44, 95, 12, 71, 3229, 13922, 117, 11, 37, 9779, 13, 8, 16182, 17, 106, 20936, 7676, 7557, 31713, 3563, 6120, 6, 12695, 44, 95 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 12, 71, 3229, 29573, 5, 18125, 7, 41, 16547, 127, 2760, 163, 61, 6260, 3, 18, 14702, 1546, 26, 2897, 5247, 3, 18, 13560, 6100, 4070, 2766, 3, 18, 9771, 14698, 7048, 4407, 3, 18, 3, 15, 4, 20, 3, 15789, 23, 3888, 3, 18, 11712, 2158, 15, 17, 4406, 3, 18, 1838, 5053, 3581, 3, 18, 3121, 15, 189, 1051, 10348, 2628, 3, 18, 2744, 23, 15, 5049, 322, 2735, 3, 18, 4117, 312, 3321, 1412, 3, 18, 1022, 7, 7, 5891, 17881, 7, 26241, 2416, 16182, 17, 106, 20936, 7676, 7557, 475, 16182, 17, 106, 20936, 7676, 7557, 3, 18, 2628, 19374, 4652, 3677, 5220, 12912, 3, 18, 19374, 4652, 10180, 22371, 7, 3746, 768, 6120, 16182, 17, 106, 20936, 6580, 2127, 16, 6260, 6260, 8752, 7, 16, 2051, 1, 480, 29, 291, 7, 5437, 6, 20160, 480, 29, 355, 7, 5437, 6, 19, 3, 9, 3309, 11, 1798, 3095, 14961, 6, 230, 16, 8, 14961, 13, 480, 29, 355, 7, 5437, 28, 17839, 107, 18819, 6, 16, 1117, 5937, 15, 7721, 6, 2789, 81, 3457, 13, 901, 4411, 5, 37, 3309, 1217, 165, 564, 45, 8, 480, 29, 291, 52, 10846, 10, 480, 29, 291, 52, 598, 3, 31, 13534, 5402, 2480, 31, 5, 86, 25684, 8, 14961, 141, 3, 9, 2074, 13, 2059, 8797, 5528, 37, 388, 127, 13, 480, 29, 291, 7, 5437, 47, 1213, 16, 16493, 648, 57, 8, 7320, 77, 7223, 384, 6, 11, 16, 1179, 2368, 11560, 107, 20, 7320, 77, 7223, 47, 3, 60, 5317, 13, 480, 29, 291, 7, 5437, 5, 94, 47, 865, 1213, 57, 8, 3556, 159, 384, 6, 113, 1916, 34, 16, 1003, 1458, 12, 1079, 7872, 739, 6, 3, 9, 21225, 11947, 5, 555, 13, 8, 7872, 739, 384, 1192, 901, 4411, 512, 2269, 5, 299, 16, 1003, 3951, 480, 29, 291, 7, 5437, 47, 1916, 12, 2549, 25568, 6, 3, 9, 18908, 6297, 5, 978, 520, 3576, 6, 21, 364, 12, 112, 684, 6, 47, 990, 1386, 106, 25568, 13, 480, 29, 291, 7, 5437, 5, 37, 384, 92, 4157, 4163, 144, 760, 3009, 10099, 6, 11, 1546, 26, 122, 739, 3028, 480, 29, 291, 7, 5437, 2501, 38, 578, 14833, 16, 3172, 3, 318, 3, 9, 26266, 31, 7, 286, 13, 8, 1003, 189, 2646, 230, 11, 21, 3, 9, 307, 97, 437, 3, 12519, 57, 8, 17766, 13, 8, 24989, 53, 9808, 233, 37, 2004, 4205, 43, 1513, 70, 6228, 655, 6, 8, 1460, 17, 3, 157, 173, 29, 7, 11, 8, 3, 1999, 210, 1840, 33, 2767, 5, 1960, 6, 983, 6, 8, 3372, 3950, 30, 420, 13, 3, 9, 306, 2288, 1106, 19314, 8, 3112, 11, 33, 7157, 1192, 5, 37, 3, 4115, 7325, 15, 26, 3196, 1727, 12, 43, 118, 3, 19435, 139, 46, 2749, 6358, 5, 29650, 480, 29, 291, 7, 5437, 19, 16, 8, 3, 28443, 6439, 4392, 13, 216, 226, 1483, 5, 461, 209, 1186, 23652, 8, 14961, 47, 31226, 15, 26, 12, 607, 480, 29, 355, 7, 5437, 28, 17839, 107, 18819, 5, 28789, 1471, 37, 2078, 19 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2425, 12, 472, 15028, 6, 11, 1546, 26, 122, 739, 1509, 34, 16, 3, 9, 13096, 1162, 1706, 6, 28, 3372, 12267, 81, 5, 94, 141, 118, 26935, 16, 8, 30552, 189, 2646, 6, 11, 625, 7808, 10156, 7, 130, 261, 16, 8, 740, 5, 86, 507, 4201, 6, 983, 6, 34, 47, 26935, 44, 3, 9, 583, 13, 3996, 5426, 11, 3, 9, 126, 5026, 10972, 47, 3, 49, 7633, 44, 48, 97, 5, 461, 8, 3414, 1481, 13, 8, 2078, 6, 12759, 8, 1997, 22233, 6, 19, 3, 9, 3372, 3, 19619, 28, 848, 7633, 507, 4201, 5, 6342, 5, 3576, 493, 210, 7, 760, 6, 419, 5317, 5, 4599, 13156, 11, 6187, 4117, 739, 6, 2345, 15811, 35, 7, 5, 695, 15599, 26, 507, 4613, 5, 20970, 651, 11, 9731, 524, 974, 29696, 5, 290, 19, 3, 9, 1399, 1232, 13, 7808, 3009, 7, 11, 80, 4006, 3, 9, 6765, 3, 14593, 6, 84, 1546, 26, 122, 739, 718, 3, 31, 26, 159, 122, 12614, 1329, 103, 6938, 15, 40, 31, 10, 432, 25, 113, 754, 175, 2356, 12, 608, 94, 56, 1137, 3, 9, 9024, 842, 12, 3, 27779, 10, 27, 26313, 47, 1286, 8, 4728, 6, 275, 57, 3, 9, 388, 27, 2124, 423, 168, 117, 499, 4109, 11, 4194, 84, 3, 88, 31, 26, 3, 14712, 6, 27, 6, 271, 25708, 6, 47, 36, 1313, 10093, 5, 27, 897, 3, 88, 56, 3, 22303, 36, 6, 466, 7245, 8, 14566, 270, 21, 140, 5, 94, 47, 8, 9241, 8873, 107, 13, 2715, 2659, 226, 449, 6, 113, 3977, 314, 1797, 1003, 4314, 5, 71, 388, 28, 4068, 3, 88, 141, 3, 9, 546, 291, 60, 40, 3, 18280, 646, 3, 9, 14566, 15, 26, 11972, 14658, 21, 376, 6, 68, 132, 47, 13045, 150, 16, 10952, 12, 3606, 8, 17316, 257, 5, 37, 7808, 3009, 19, 230, 4335, 5, 17881, 7, 26241, 2416, 3, 18464, 15787, 196, 41, 188, 29385, 10, 2307, 1671, 2628, 61, 7305, 7, 16, 1117, 5937, 15, 7721, 18263, 3095, 14961, 15, 7, 16, 1117, 5937, 15, 7721, 1, 6540, 760, 7820, 17, 106, 19, 3, 9, 3309, 16, 1117, 5937, 15, 7721, 6, 2789, 81, 4653, 3457, 4653, 13, 4574, 855, 189, 5, 71, 1798, 7282, 18, 12415, 230, 12069, 139, 4326, 3499, 6, 8, 625, 3309, 496, 92, 12069, 139, 3, 9, 629, 6, 46, 625, 4716, 6, 3, 9, 422, 2078, 6, 11, 3, 9, 381, 13, 12268, 7, 11, 9603, 9418, 8, 3309, 5, 37, 625, 2269, 6, 3, 14134, 898, 3916, 6, 341, 5024, 16, 3, 9, 2004, 1909, 8, 1442, 5, 37, 3309, 2269, 16, 6540, 760, 7820, 17, 106, 19, 3, 14134, 898, 3916, 11, 1330, 12, 43, 118, 2301, 132, 116, 8, 3309, 47, 2301, 5, 37, 926, 353, 19, 230, 2447, 40, 232, 5, 37, 2269, 5024, 3, 15062, 51, 306, 11, 47, 20454, 16, 507, 1828, 5, 1377, 13, 8, 1017, 81, 34, 65, 118, 2016, 26, 11, 15359, 28, 3124, 5, 5528, 3, 2092, 8, 7707, 1602, 6, 5811, 51, 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 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2893, 15, 26, 3, 9, 508, 2054, 16, 8, 9808, 13, 8, 538, 120, 6540, 760, 7820, 17, 106, 2501, 21, 80, 706, 6, 11, 865, 5539, 3, 9, 4505, 13, 3996, 3301, 4525, 7, 5783, 26, 5, 38, 6107, 21, 8, 1783, 612, 57, 112, 12673, 5, 621, 1839, 195, 32, 537, 16, 1003, 4448, 2809, 1815, 900, 17, 6, 3, 9, 9846, 155, 15, 2488, 6, 21, 3, 9, 307, 298, 8260, 27972, 16, 3, 9, 96, 7855, 222, 31, 7, 5838, 15, 121, 16, 46, 4548, 562, 13, 8, 2501, 5, 9099, 10632, 6992, 6, 3, 9, 248, 11947, 18, 12298, 565, 13, 21225, 44, 8, 1849, 13, 8, 627, 189, 2646, 6, 47, 3, 9, 4262, 13, 6540, 760, 7820, 17, 106, 11, 1192, 3, 9, 13243, 57, 8, 4033, 6, 68, 150, 8320, 13, 34, 3048, 5, 2216, 3920, 7, 37, 19558, 31, 7, 23142, 1343, 9016, 8, 3309, 705, 145, 12, 8, 5727, 5, 37, 1137, 1343, 19, 3, 9, 3385, 1373, 84, 3511, 44, 3625, 11118, 30, 10118, 5288, 31, 7, 3556, 6, 3457, 13, 2487, 9818, 6, 11, 4285, 7, 3457, 2239, 7, 640, 1117, 5937, 15, 7721, 12, 8, 4247, 13, 8, 2473, 332, 8578, 44, 5653, 5981, 18, 413, 106, 18, 382, 8578, 5, 19558, 7, 23142, 1343, 10677, 6, 6540, 760, 7820, 17, 106, 6, 92, 801, 38, 6, 42, 4381, 16, 4332, 2691, 38, 1592, 3465, 107, 2985, 5, 2671, 11858, 458, 7286, 5100, 30, 128, 6328, 8111, 38, 7293, 68, 230, 1702, 12, 36, 3048, 13, 12268, 5, 22, 180, 9320, 341, 3187, 38, 458, 3585, 13, 7293, 22, 5, 3230, 3187, 38, 458, 60, 7484, 7, 13, 46, 22085, 3, 6489, 7293, 5, 22, 100, 353, 65, 118, 3028, 38, 3, 9, 276, 400, 10677, 5, 37, 3410, 24, 48, 353, 19, 3, 9, 16493, 21, 17, 2420, 42, 20212, 19, 11860, 179, 5, 6540, 760, 7820, 17, 106, 2501, 19, 3, 9, 13027, 27, 2616, 740, 5, 290, 65, 118, 3, 9, 629, 30, 8, 353, 437, 8, 968, 189, 2646, 5, 37, 915, 629, 6, 84, 47, 1192, 16, 81, 898, 4433, 6, 12, 3, 9, 408, 57, 13188, 2715, 7080, 40, 17696, 65, 46, 4423, 386, 18, 7154, 63, 6, 2391, 18, 11119, 15, 26, 851, 545, 28, 6561, 302, 16628, 11, 7225, 22085, 2034, 3, 3138, 23, 4128, 5, 37, 4091, 6621, 128, 2283, 753, 379, 3, 9, 3, 15303, 1343, 7293, 84, 164, 3480, 28447, 7, 13, 4913, 21, 17, 2420, 7, 5, 37, 9603, 3480, 3, 9, 5575, 6073, 11, 3, 30559, 753, 5, 28789, 1471, 37, 2078, 19, 2425, 12, 472, 3156, 965, 5, 216, 19, 8, 15528, 3, 4822, 12, 38, 96, 26667, 71, 11097, 26, 23, 302, 121, 16, 80, 13, 8, 21815, 1905, 3196, 16, 8, 2078, 6, 3, 31, 188, 11097, 26, 23, 302, 31, 271, 8, 6271, 607, 13, 8, 564, 3, 31, 517, 699, 7, 31, 5, 17881, 7, 26241, 2416, 3, 18464, 15787, 196, 41, 188, 29385, 10, 2307, 1671, 2628, 61, 7305, 7 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 16, 1117, 5937, 15, 7721, 1, 4965, 29, 6029, 19, 3, 9, 3309, 16, 1117, 5937, 15, 7721, 6, 2789, 81, 3457, 13, 901, 29, 5981, 5, 29650, 4965, 29, 6029, 19, 16, 8, 3, 28443, 6439, 4392, 13, 5653, 5981, 18, 413, 106, 18, 382, 8578, 5, 17881, 7, 26241, 2416, 3, 18464, 15787, 196, 41, 188, 29385, 10, 2307, 1671, 2628, 61, 7305, 7, 16, 1117, 5937, 15, 7721, 1, 2133, 17237, 16420, 3198, 77, 23, 17416, 77, 3439, 9, 7066, 41, 7473, 23992, 61, 19, 46, 2557, 18, 7473, 4640, 7792, 6, 992, 7, 53, 30, 887, 31, 7, 4640, 11, 16, 1010, 17, 14277, 758, 16, 638, 17982, 235, 60, 6, 22503, 1823, 1259, 6, 1547, 5, 23023, 17416, 77, 3439, 9, 7066, 47, 2170, 16, 638, 17982, 235, 60, 6, 22503, 1823, 1259, 6, 1547, 5, 1347, 2353, 47, 3, 9, 6297, 6, 4333, 14248, 11, 24694, 992, 7, 53, 30, 3648, 13293, 5, 17416, 77, 3439, 9, 7066, 31, 7, 2039, 47, 3, 9, 2472, 16, 638, 17982, 235, 60, 5, 1347, 778, 1073, 47, 16, 638, 17982, 235, 60, 6, 1547, 11, 258, 255, 2301, 30, 12, 8, 491, 51, 9, 6928, 49, 13, 160, 2039, 6, 19089, 3721, 1888, 16, 23940, 12, 3442, 160, 1035, 1952, 5, 461, 6929, 13, 160, 1035, 2116, 16, 23940, 6, 255, 2301, 12, 368, 1060, 11, 258, 12, 28517, 6, 28834, 6, 1894, 5, 451, 865, 1632, 3, 9, 16344, 13, 3671, 1888, 13, 180, 19623, 7, 13, 1894, 16, 16433, 11, 3, 9, 7177, 52, 44, 8, 636, 13, 28834, 6, 1894, 5, 461, 160, 1205, 12, 1547, 16, 15465, 6, 2133, 17237, 16420, 3198, 77, 23, 3311, 8642, 4425, 1639, 52, 1273, 29, 9, 4457, 11, 708, 70, 22223, 15, 3929, 7, 11, 12109, 29, 15, 75, 1863, 3066, 5, 451, 47, 15205, 16, 8, 3239, 13, 4047, 7, 1166, 5, 86, 778, 8558, 255, 2301, 139, 3, 9, 126, 3064, 13, 160, 293, 4047, 7, 1166, 6, 1069, 16, 8, 5961, 294, 13, 638, 17982, 235, 60, 1260, 66, 887, 31, 7, 4640, 364, 365, 3, 9, 712, 2955, 5, 451, 4532, 3, 9, 7432, 16, 4689, 12, 2254, 21, 8, 1058, 13, 414, 32, 8180, 32, 7, 159, 11, 1341, 10461, 11, 1124, 5, 12892, 14258, 7, 9149, 10, 14067, 2578, 6, 4047, 7, 1166, 6, 638, 17982, 235, 60, 14067, 2578, 6, 3, 31606, 419, 27408, 3669, 1166, 638, 17982, 235, 60, 2578, 6, 1166, 21, 1915, 23, 16978, 2686, 638, 17982, 235, 60, 276, 208, 17, 3937, 2578, 6, 4047, 7, 1166, 11, 4457, 7, 7086, 7363, 6, 638, 17982, 235, 60, 1980, 6959, 75, 17, 5589, 6, 37, 22503, 1823, 1259, 707, 5, 283, 8727, 3721, 636, 2575, 1628, 11, 585, 86, 760, 155, 663, 13, 86, 1010, 17, 14277, 3559, 13, 3892, 419, 27408, 6852, 7566, 17, 173, 1707, 11, 2958, 10, 18989, 11, 8506, 3, 8241, 6, 276, 18405, 1231, 1058, 21, 16, 1010, 17, 14277, 19428, 7, 9149, 10, 2557, 3721, 2125, 638, 17982, 235, 60, 22223, 15 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3929, 7, 11, 12109, 29, 15, 75, 1863, 3467, 3, 18, 1661, 6, 4407, 18, 23948, 14828, 12109, 29, 15, 75, 4478, 11, 22223, 15, 3929, 7, 16874, 15, 3010, 13, 1547, 2557, 2125, 13, 6400, 17, 17382, 1915, 23, 16978, 3201, 18, 9868, 8256, 196, 1611, 3467, 13, 3892, 419, 20762, 11, 3, 17467, 651, 1863, 797, 3467, 13, 419, 27408, 6852, 8541, 6, 11664, 11929, 2086, 1038, 3559, 13, 22223, 15, 3929, 7, 11, 12109, 29, 15, 75, 1863, 6, 1790, 16, 368, 5725, 3, 19145, 1661, 638, 17982, 235, 60, 8618, 17481, 3467, 6580, 26208, 21, 8, 23499, 15, 13, 11243, 3677, 21, 8, 364, 16, 4047, 22, 7, 1685, 124, 3181, 9, 1982, 291, 2760, 21, 4047, 96, 188, 9781, 162, 297, 16, 3721, 2056, 121, 3, 31815, 10644, 2760, 21, 6556, 10970, 45, 1140, 23, 1592, 1121, 37, 5589, 21958, 454, 5, 890, 6293, 31, 7, 3720, 2381, 297, 955, 1016, 16, 2628, 17881, 7, 23992, 3879, 7, 5753, 151, 16344, 7, 13, 8, 3671, 1888, 13, 180, 19623, 7, 2557, 12177, 7, 2557, 3, 122, 63, 29, 9, 15, 75, 17382, 22503, 7004, 3721, 6659, 45, 22503, 1823, 1259, 2449, 45, 638, 17982, 235, 60, 2557, 887, 3, 122, 63, 29, 9, 15, 75, 17382, 460, 189, 18, 14006, 2557, 887, 7004, 460, 189, 18, 14006, 2557, 1035, 6659, 2557, 887, 12177, 7, 4047, 7004, 45, 22503, 1823, 1259, 460, 189, 18, 14006, 887, 13768, 460, 189, 18, 14006, 12177, 7, 1, 37, 16492, 1061, 41, 61, 19, 3, 9, 452, 4150, 2447, 16, 23888, 896, 6, 16, 7518, 23888, 5, 37, 13350, 3023, 24397, 7, 8, 3005, 26394, 146, 9027, 216, 29, 52, 23, 11, 6, 590, 28, 8, 10645, 7, 13, 8, 901, 172, 1954, 11, 276, 154, 2666, 7, 7, 15, 6, 2807, 3, 9, 20430, 24, 2450, 7, 8, 2069, 15626, 7205, 15, 2893, 45, 8, 880, 13, 8, 690, 5, 100, 1442, 3, 4667, 19, 5508, 15, 26, 139, 2450, 6795, 57, 8, 18836, 13789, 60, 63, 6, 8, 18836, 7983, 8770, 419, 10525, 6, 11, 8, 18836, 20, 50, 3625, 15, 18, 26288, 162, 5, 37, 616, 4947, 15, 26, 57, 175, 7540, 19, 3241, 3, 5, 37, 7518, 5463, 1375, 13, 8, 2447, 19, 718, 11664, 107, 7349, 1061, 41, 13212, 75, 4857, 5, 7349, 137, 37, 2447, 47, 990, 227, 8, 27462, 13, 8, 21, 9746, 365, 8, 507, 3708, 16494, 63, 13, 1524, 5, 37, 2447, 19, 8, 1128, 13, 8, 8850, 11884, 10314, 29, 63, 6, 16, 8, 7518, 5463, 1375, 6, 11, 8, 8850, 2964, 76, 3478, 6, 640, 8, 18836, 7983, 8770, 419, 10525, 5, 37, 8850, 11884, 10314, 29, 63, 47, 8, 3143, 13, 8, 2570, 11057, 29, 23, 15, 23888, 15, 32, 159, 15, 20, 332, 7603, 26, 99, 7316, 6, 8, 21, 15, 10806, 13, 391, 12733, 1531, 6, 11, 6523, 8, 2430, 6610, 11263, 21537, 16, 20236, 11, 20658, 5, 37, 8850, 2964, 76, 3478, 47, 8, 926, 3143, 13, 8, 1611, 2243, 13, 6923, 6, 11, 19, 230, 46 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 768, 7071, 5, 3, 2092, 8, 29634, 21, 8, 1449, 13, 8, 13104, 13789, 60, 63, 443, 2447, 6, 8, 3048, 13, 8, 21, 17, 47, 3, 24530, 5, 5570, 26, 8, 30700, 1624, 1063, 115, 17, 6, 8, 4550, 2408, 9533, 21, 9746, 54, 230, 36, 894, 131, 3414, 13, 18836, 13789, 60, 63, 5, 37, 30700, 242, 9746, 47, 5330, 1192, 16, 898, 4433, 6, 20845, 16, 507, 2469, 104, 11071, 11, 3, 7275, 15, 26, 344, 507, 3651, 11, 507, 4581, 5, 15213, 7977, 7, 1061, 7, 16, 23888, 896, 1, 4599, 2003, 509, 226, 1915, 52, 77, 41, 2596, 1660, 507, 3707, 2555, 1515, 28828, 61, 47, 46, 389, 4707, 1608, 25214, 16, 8, 1480, 957, 189, 11, 778, 460, 189, 11653, 5, 1915, 52, 77, 47, 2170, 44, 1244, 7165, 18, 106, 18, 382, 651, 51, 6, 27362, 5718, 6, 30, 850, 1660, 507, 3707, 11, 7226, 26, 44, 321, 2671, 31, 7, 1888, 1524, 11, 20699, 1888, 6, 10274, 5, 955, 26, 7043, 26, 16, 507, 2518, 6, 3, 88, 1553, 112, 8409, 28, 3, 9, 5495, 4710, 44, 472, 3790, 31, 7, 28165, 11, 47, 258, 5931, 1720, 13, 472, 12020, 31, 7, 16, 8, 337, 690, 274, 112, 3, 23580, 12, 8, 29664, 342, 38, 8, 16098, 13, 2390, 8183, 5, 216, 47, 975, 7549, 4094, 3, 9, 25214, 30, 997, 1332, 507, 4271, 6, 57, 8200, 1945, 2798, 739, 6, 9318, 11514, 10776, 13, 31868, 6, 44, 25804, 24632, 5, 216, 47, 865, 15459, 12, 36, 8, 16098, 13, 2003, 15, 7, 537, 5, 3, 2092, 48, 1059, 3, 88, 47, 92, 8, 3, 60, 5317, 13, 472, 5954, 3526, 7, 8045, 71, 4466, 1443, 2754, 106, 41, 88, 2697, 8, 5026, 10972, 552, 112, 1687, 137, 216, 3977, 30, 2307, 1515, 28828, 11, 19, 3, 14656, 16, 8, 2078, 6636, 13, 472, 1079, 18, 144, 18, 566, 4624, 11931, 2345, 6, 1524, 5, 978, 4806, 11664, 107, 47, 3, 9, 8304, 569, 5139, 49, 5, 1915, 52, 77, 73, 20321, 11, 2425, 8, 5845, 102, 11931, 1602, 9107, 16, 932, 957, 2884, 5, 216, 10611, 16, 1248, 27332, 6, 3, 60, 6732, 53, 112, 217, 16, 97, 21, 112, 22261, 31, 7, 975, 7549, 2661, 30, 8, 377, 11535, 13, 472, 2549, 41, 1828, 1718, 137, 216, 1632, 46, 9255, 16098, 13, 1524, 552, 112, 1687, 3, 318, 3, 88, 8743, 19346, 21913, 13, 5845, 102, 11931, 20, 152, 4203, 1019, 5, 17881, 7, 507, 3707, 3879, 7, 28828, 14319, 389, 4707, 1608, 25214, 7, 13, 2390, 8183, 16098, 7, 13, 2003, 15, 7, 537, 25456, 13, 20699, 1888, 6, 10274, 957, 189, 18, 14006, 389, 4707, 1608, 2345, 13, 1894, 25214, 7, 460, 189, 18, 14006, 2345, 13, 2789, 25214, 7, 4708, 12042, 7, 44, 472, 1079, 18, 144, 18, 566, 4624, 11931, 1443, 2754, 106, 7, 13, 8, 907, 2698, 14265, 13, 2789, 460, 189, 18, 14006, 389, 4707, 1608, 2345, 13, 1894, 25214, 7, 1, 7871, 2358, 11, 1126, 54, 1243, 10, 21211, 7871, 18, 8725, 9329, 7871, 18 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 8725, 3619, 7871, 18, 8725, 5592, 6, 3, 9, 6567, 18, 17470, 4891, 3317, 7871, 18, 8725, 30117, 7871, 2358, 9241, 729, 27036, 7871, 18, 8725, 20146, 27036, 2502, 7871, 18, 8725, 31250, 7871, 7845, 41, 287, 447, 201, 3, 9, 7967, 7871, 7845, 16095, 6, 661, 57, 27257, 3188, 49, 52, 32, 7871, 7845, 16095, 41, 23703, 201, 3, 9, 723, 2306, 9, 3322, 41, 17470, 61, 13, 80, 2358, 1, 11065, 8643, 26044, 41, 15776, 9, 507, 3390, 104, 19978, 5268, 47, 3, 9, 7222, 14131, 14268, 16, 8, 1932, 1793, 32, 324, 9, 63, 1719, 13, 2390, 8183, 5, 216, 92, 7747, 7222, 14131, 7, 30, 8, 1793, 32, 324, 9, 63, 2473, 16, 16751, 11, 30, 8, 180, 4414, 630, 2473, 16, 8282, 2390, 8183, 5, 17420, 8789, 16, 8, 21989, 5617, 4691, 5457, 84, 3154, 190, 8, 1932, 1793, 32, 324, 9, 63, 1719, 47, 4799, 5229, 12, 26044, 31, 7, 6794, 11, 1415, 5, 86, 811, 12, 271, 3, 9, 7222, 14131, 14268, 6, 26044, 47, 92, 3, 9, 10263, 127, 6, 872, 18, 3552, 3432, 4487, 11, 1539, 16, 8, 2734, 22435, 684, 13, 8, 8183, 2473, 5, 8840, 280, 26044, 141, 118, 2170, 16, 264, 60, 40, 6, 22649, 81, 507, 3390, 5, 216, 2301, 12, 28517, 16, 507, 4959, 6, 11, 258, 764, 4653, 464, 28, 3, 9, 4151, 5824, 18025, 3719, 53, 4627, 16, 8, 8183, 3460, 45, 18630, 14370, 12, 7100, 5, 20087, 9765, 391, 5, 1443, 348, 6, 3, 9, 9994, 6, 4472, 52, 6, 1974, 18, 8337, 6, 11, 3370, 3763, 6, 764, 12, 214, 26044, 168, 16, 13978, 383, 3, 9, 3432, 1469, 323, 8, 8183, 5, 1443, 348, 3028, 26044, 6, 11, 38, 96, 782, 13, 8, 167, 20675, 21369, 16, 8, 11200, 53, 892, 13, 2390, 8183, 121, 10, 22738, 13, 7222, 8789, 86, 507, 4613, 26044, 234, 849, 15624, 30, 8, 5727, 596, 13, 8183, 2154, 11, 15359, 11076, 6, 28, 8, 515, 13, 3014, 135, 12, 8, 2765, 740, 8, 205, 5554, 323, 5927, 49, 44, 7100, 5, 216, 1192, 192, 2667, 18, 30142, 15, 26, 12285, 6, 41, 9341, 96, 3697, 9063, 8512, 12, 1855, 112, 10550, 30, 8, 4033, 5, 26044, 1500, 3, 9, 7222, 14131, 133, 36, 3, 9, 207, 194, 12, 12, 210, 8, 25156, 226, 223, 95, 8103, 5, 216, 3, 9741, 12, 43, 7222, 7277, 10737, 4653, 45, 3, 9, 7222, 20395, 1192, 16, 507, 2445, 24, 7747, 44, 112, 234, 1511, 16, 22649, 5, 1447, 8, 7277, 4363, 6, 11, 3, 9, 14097, 228, 36, 1069, 6, 26044, 17583, 3, 9, 7222, 14131, 45, 1817, 7125, 8102, 1162, 515, 157, 7, 11, 14592, 7, 24, 130, 12267, 300, 44, 46, 625, 1509, 12415, 5, 37, 741, 47, 8, 970, 2951, 7, 6, 3759, 16, 507, 3840, 44, 7100, 5, 2759, 778, 9234, 2832, 24, 160, 3179, 47, 96, 5529, 9170, 20, 5045, 5230, 121, 11, 26044, 2448, 865, 4686, 24, 255, 47, 96, 9, 1134, 19058, 7222, 14131, 535, 5450, 8, 511, 970, 2951, 7, 970, 2951 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7, 3, 7, 5979, 44, 709, 728, 6, 68, 26044, 47, 3725, 3, 179, 12, 3033, 160, 45, 8, 4033, 5, 216, 258, 2930, 8, 8617, 18, 6489, 7222, 49, 12, 143, 631, 540, 16, 507, 4225, 12, 43, 3, 9, 126, 3, 13072, 14074, 49, 1192, 6, 92, 718, 970, 2951, 7, 5, 26044, 10626, 8, 11774, 4383, 16422, 49, 10135, 18763, 6, 13, 7488, 6, 9580, 12, 918, 8, 126, 7222, 49, 6, 84, 2199, 422, 6, 47, 168, 18, 15281, 11, 2299, 114, 3, 9, 7222, 14131, 5, 26044, 92, 141, 1192, 3, 9, 511, 7222, 49, 6, 23816, 6, 84, 2199, 2755, 145, 8, 511, 970, 2951, 7, 6, 906, 163, 1296, 5075, 13, 387, 12, 661, 16, 5, 100, 47, 46, 2337, 16, 8, 557, 16906, 13818, 13, 8, 8183, 756, 7100, 6, 213, 38, 26044, 474, 34, 6, 96, 532, 4033, 31, 7, 2007, 47, 557, 182, 885, 12, 8, 4033, 31, 7, 420, 1280, 37, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 18565, 71, 9865, 1451, 13, 8, 21989, 5617, 4691, 5457, 19, 24, 192, 13, 8, 779, 16912, 24, 2537, 190, 34, 6, 8, 8183, 6, 15401, 3457, 6, 11, 8, 1793, 32, 324, 9, 63, 15401, 3414, 6, 33, 12494, 57, 163, 81, 3, 9, 7728, 13, 731, 8113, 107, 63, 30631, 44, 3, 9, 286, 230, 801, 38, 18565, 13109, 7, 5, 282, 8, 564, 18841, 6, 3, 9, 3365, 10130, 47, 1192, 640, 18565, 13109, 7, 57, 4599, 1980, 32, 40, 89, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 6, 3, 9, 1611, 4472, 52, 11, 2519, 52, 45, 18407, 11, 3, 23046, 2458, 5, 37, 10130, 47, 2012, 16, 507, 3914, 6, 68, 34, 47, 163, 261, 386, 648, 57, 7222, 14131, 7, 6, 334, 97, 365, 8, 4106, 13, 12202, 26044, 5, 86, 507, 4271, 6, 26044, 1192, 350, 210, 989, 32, 747, 44, 10001, 35, 31, 7, 2216, 53, 30, 8, 1793, 32, 324, 9, 63, 2473, 6, 11, 808, 8, 12662, 190, 8, 10130, 3457, 12, 8, 4383, 6636, 44, 7100, 12, 743, 160, 8213, 91, 5, 938, 48, 97, 34, 3475, 24, 8, 10130, 141, 118, 6780, 42, 3, 18687, 15, 26, 12, 8, 3432, 213, 44, 709, 128, 13, 8, 11811, 13, 350, 210, 989, 32, 747, 141, 12, 36, 10380, 57, 12473, 8, 12662, 13, 8, 387, 6, 14610, 1028, 348, 17, 697, 8, 3432, 6, 11, 12473, 160, 590, 30, 10866, 7, 5, 2035, 8, 2265, 6, 26044, 6, 34, 19, 2196, 6, 47, 3, 179, 12, 23990, 30, 8, 19429, 789, 12, 8116, 989, 2731, 12, 2096, 8, 10130, 5, 86, 1480, 932, 507, 4240, 26044, 3666, 8, 2012, 350, 210, 989, 32, 747, 223, 12, 8, 1793, 32, 324, 9, 63, 2473, 6, 48, 97, 11811, 53, 4929, 8, 3, 60, 30232, 920, 10130, 5, 37, 10130, 3, 7361, 3, 23273, 552, 957, 4305, 6, 116, 26044, 1940, 1117, 2042, 3457, 45, 8, 1793, 32, 324, 9, 63, 12, 8, 8183, 5, 37, 11811, 13, 1117, 2042 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 47, 163, 263, 487, 57, 8, 11203, 6, 57, 3, 24805, 1538, 15, 6, 13, 8, 6081, 44, 8, 10130, 5, 13280, 13997, 30, 8, 4548, 1793, 32, 324, 9, 63, 2473, 71, 5558, 13997, 590, 8, 4548, 1793, 32, 324, 9, 63, 4033, 16, 8, 778, 507, 2394, 7, 2237, 12, 3, 9, 2173, 21, 3365, 12, 1855, 3519, 277, 11, 4471, 139, 6, 11, 42, 15, 91, 13, 6, 8, 1719, 3825, 8, 4033, 5, 37, 1651, 5961, 18025, 44, 1022, 9416, 7, 6, 16751, 47, 8, 13012, 323, 5927, 49, 6579, 3313, 21, 4548, 1793, 32, 324, 9, 63, 3365, 5, 26044, 2301, 3414, 45, 8, 8183, 12, 8, 1793, 32, 324, 9, 63, 6, 11, 1192, 8, 422, 3, 13072, 14074, 49, 350, 210, 989, 32, 747, 44, 10001, 35, 31, 7, 2216, 53, 6, 81, 3457, 13, 8, 915, 573, 13, 2751, 9, 5, 3910, 13, 838, 8, 42, 15, 3414, 12, 8, 1022, 9416, 7, 6, 26044, 31, 7, 515, 47, 12, 888, 8, 42, 15, 3457, 640, 18565, 13109, 7, 11, 258, 323, 8, 8183, 12, 8, 205, 5554, 6579, 3313, 44, 7100, 5, 26044, 808, 350, 210, 989, 32, 747, 190, 8, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 18565, 16, 8, 1590, 13, 507, 4271, 41, 127, 3, 10671, 160, 640, 18565, 13109, 7, 201, 9695, 160, 91, 44, 7100, 6, 11, 3666, 190, 8, 10130, 16, 8, 2141, 13, 507, 4240, 5, 37, 8565, 13, 1735, 350, 210, 989, 32, 747, 190, 8, 18565, 12718, 26044, 24, 8, 163, 20218, 2981, 47, 3414, 12, 1022, 9416, 7, 5, 938, 778, 507, 4314, 6, 26044, 3311, 28, 11774, 2003, 265, 1954, 2473, 7222, 14131, 14268, 2549, 309, 5, 9429, 11, 1192, 15874, 41, 4350, 26, 227, 26044, 31, 7, 3062, 61, 44, 3, 14615, 969, 6, 16751, 5, 15874, 47, 8, 2015, 7222, 49, 780, 12, 4368, 30, 8, 4548, 1793, 32, 324, 9, 63, 2473, 5, 10511, 6, 26044, 11, 9429, 1968, 28, 15811, 687, 6, 11, 6, 116, 70, 9216, 6, 374, 345, 76, 63, 11, 6193, 8151, 8, 1817, 1161, 17, 444, 13, 578, 70, 126, 12662, 2770, 7, 14539, 41, 10124, 8760, 61, 3, 7, 6513, 227, 131, 1296, 1274, 13, 2986, 6, 8, 386, 1076, 130, 3, 179, 12, 19314, 8, 4033, 2117, 5, 1022, 9416, 7, 16078, 1447, 16, 8, 907, 1323, 6, 8, 1793, 32, 324, 9, 63, 4033, 6, 16, 165, 793, 538, 274, 8, 1449, 13, 8, 3, 14615, 969, 10939, 6, 2537, 15, 26, 190, 1022, 9416, 7, 16078, 12, 8, 7025, 13, 1022, 9416, 7, 6, 16751, 5, 1022, 9416, 7, 65, 966, 1551, 19803, 38, 3, 9, 1511, 6, 68, 34, 47, 1084, 3, 14615, 969, 6, 16751, 5, 18262, 1022, 9416, 7, 6, 8, 1793, 32, 324, 9, 63, 2473, 5658, 15, 26, 38, 34, 4037, 190, 1022, 9416, 7, 16078, 6, 84, 47, 3, 9, 1516, 3, 10557, 986, 12, 136, 4033, 8789, 5, 71, 1989, 5107, 6606, 47, 801, 38, 8, 1289, 17710, 5, 1022, 9416 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7, 16078, 47, 3028, 57, 5589, 5225, 348, 38, 96, 9, 7706, 13, 387, 6, 6910, 53, 18, 13698, 6, 323, 6321, 966, 38, 30, 3, 9, 10856, 2955, 6, 3, 10942, 6281, 145, 7222, 14131, 1280, 465, 958, 3102, 133, 1431, 3, 9, 1291, 21, 7222, 14131, 7, 11, 15470, 11811, 53, 8, 1022, 9416, 7, 16078, 5, 26044, 728, 399, 7, 76, 15624, 46, 3102, 45, 1051, 5901, 12, 1099, 492, 3, 9, 5035, 30, 3331, 7, 5, 37, 3102, 1500, 12, 5443, 8, 2981, 21, 2448, 6, 11, 877, 30, 1476, 28, 26044, 38, 8, 14268, 31, 7, 3432, 2538, 190, 8, 24032, 5, 486, 8, 414, 13, 8, 1469, 6, 8, 3102, 31, 7, 5035, 21, 3, 9, 1291, 47, 80, 18, 19973, 13, 8, 701, 13, 8, 15470, 5, 8881, 26, 28, 48, 5035, 6, 26044, 1500, 12, 21, 839, 958, 5, 37, 1450, 9613, 12, 36, 263, 3776, 12, 18686, 8, 1020, 5, 3, 28257, 8, 192, 7222, 277, 228, 3807, 1514, 8630, 16, 8690, 8958, 7, 399, 239, 6, 3, 9, 418, 13, 540, 16, 507, 4327, 5, 938, 4993, 6, 8, 3, 13072, 14074, 49, 446, 5, 308, 5, 1699, 21290, 9323, 4327, 201, 583, 1514, 13922, 12, 918, 16, 507, 4327, 5, 86, 3, 324, 477, 13, 2986, 258, 6, 46, 1297, 7222, 14131, 228, 36, 1866, 21, 5, 26044, 11, 9429, 26684, 120, 1971, 12, 129, 8, 412, 5, 134, 5, 3141, 12, 4747, 19390, 13, 128, 13, 8, 12288, 11, 26359, 7, 16, 1022, 9416, 7, 16078, 5, 6404, 789, 199, 6, 79, 10626, 4627, 7, 1452, 12, 103, 8, 161, 147, 192, 2265, 7, 6, 68, 8, 772, 130, 59, 13, 231, 701, 5, 3, 4868, 8, 161, 30, 8, 4245, 6, 334, 7222, 14131, 26044, 664, 808, 190, 1022, 9416, 7, 16078, 47, 3725, 21146, 15, 26, 16, 8, 24032, 5, 37, 21146, 350, 210, 989, 32, 747, 11, 15874, 30, 932, 7973, 507, 4327, 6, 741, 15, 26, 16, 8, 11203, 13, 15874, 11, 8, 5067, 53, 13, 350, 210, 989, 32, 747, 6, 3, 29178, 28, 150, 8467, 119, 145, 5274, 981, 2102, 5, 366, 8, 126, 7222, 49, 1117, 2042, 47, 3759, 3, 9, 360, 1274, 865, 6, 26044, 47, 3, 179, 12, 143, 95, 21, 128, 13, 8, 8467, 28, 1401, 2012, 1751, 6846, 30, 8, 1793, 32, 324, 9, 63, 344, 4361, 6349, 15, 11, 1022, 9416, 7, 274, 731, 387, 5241, 376, 12, 6177, 95, 30, 1600, 6180, 507, 4327, 5, 15711, 12, 8, 180, 4414, 630, 2473, 86, 1762, 507, 3916, 6, 26044, 877, 3457, 12, 12821, 12, 3716, 16, 8, 26087, 727, 5208, 2540, 20710, 6, 28, 26044, 3, 12053, 12, 653, 112, 6209, 44, 492, 540, 38, 3, 9, 7222, 14131, 14268, 30, 8, 180, 4414, 630, 2473, 258, 271, 14742, 38, 8, 96, 6838, 18, 14050, 9, 8603, 121, 2981, 12, 8, 6214, 4470, 2473, 2045, 4120, 5, 461, 8, 180, 4414, 630, 2473, 6, 26044, 2098, 28, 8, 2581, 7222, 14131, 14268, 1079, 31102, 5, 10965, 28, 71 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 371, 5, 25253, 6, 26044, 1192, 3, 9, 7222, 14131, 6, 17851, 21, 8, 2255, 7, 40, 77, 14630, 1958, 13, 7488, 6, 9580, 5, 282, 429, 36, 1644, 45, 3, 9, 12662, 876, 57, 26044, 6, 17851, 141, 1287, 16906, 387, 821, 5, 366, 8, 180, 4414, 630, 4033, 2981, 11612, 26, 38, 46, 13902, 592, 12, 8, 26087, 727, 5208, 16, 1718, 507, 3916, 6, 17851, 47, 1026, 365, 12, 210, 12, 472, 5, 2457, 6, 12821, 21, 313, 30, 8, 6214, 4470, 2473, 5, 9778, 12, 8, 8183, 2473, 1117, 2042, 47, 1916, 223, 12, 12202, 26044, 116, 3, 88, 3666, 45, 112, 26087, 727, 5208, 4472, 6, 11, 30, 1515, 6464, 957, 4305, 6, 3, 88, 808, 160, 3457, 12, 8, 8183, 2473, 30, 112, 2581, 3, 24805, 1538, 15, 18, 5385, 26, 11811, 13, 8, 20, 5045, 5230, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 10130, 5, 438, 1117, 2042, 2767, 6, 7222, 14131, 53, 30, 8, 4548, 1793, 32, 324, 9, 63, 3492, 21, 207, 5, 818, 26044, 141, 118, 5908, 16, 8, 1793, 32, 324, 9, 63, 11, 8, 26087, 727, 5208, 5558, 13997, 7, 6, 3, 9, 360, 9216, 141, 4283, 30, 8, 4548, 8183, 5, 86, 507, 3264, 6, 28925, 262, 5, 242, 1370, 41, 26, 5, 2294, 2445, 61, 3, 9, 18407, 4180, 8147, 49, 6, 268, 348, 6, 24694, 11, 14521, 7222, 14131, 14268, 6, 1940, 11471, 157, 12546, 57, 6579, 45, 14565, 7, 210, 9, 102, 2154, 12, 7100, 6, 213, 3, 88, 3759, 160, 68, 261, 160, 38, 3, 9, 18082, 11, 59, 6, 44, 709, 7513, 6, 38, 1328, 12662, 5, 1203, 6, 12202, 10135, 21581, 120, 2944, 8, 385, 596, 14074, 49, 1915, 17, 11, 7747, 160, 30, 8, 4033, 5, 86, 957, 4305, 26044, 1028, 348, 17, 1361, 970, 2951, 7, 5, 26044, 1192, 3, 9, 126, 7222, 49, 6, 276, 17, 6768, 12588, 6, 338, 8, 7277, 45, 970, 2951, 7, 84, 130, 57, 258, 130, 147, 1640, 203, 625, 5, 1387, 16, 8, 1651, 1602, 1404, 1076, 45, 2390, 8183, 2098, 16, 1150, 1602, 27, 84, 1553, 16, 24725, 5, 17420, 14131, 1076, 130, 150, 5763, 6, 237, 26044, 2199, 3, 88, 228, 1153, 43, 3, 8070, 234, 250, 13, 112, 1246, 5, 3910, 6, 26044, 3, 23313, 2390, 4033, 1855, 16, 8, 4551, 1932, 6, 30, 8, 2504, 109, 11, 2262, 3496, 7, 16912, 5, 37, 2262, 3496, 7, 16, 1090, 47, 16, 3, 9, 1256, 11, 614, 18, 13973, 8701, 13, 615, 5, 26044, 47, 59, 8, 163, 80, 13, 8, 422, 573, 13, 7222, 14131, 1076, 13, 7100, 12, 1716, 5, 26044, 31, 7, 29255, 6, 1079, 21581, 120, 9323, 3914, 104, 26937, 5268, 6, 8, 520, 13, 112, 1798, 18766, 6, 3, 35, 19279, 11, 877, 12, 1740, 6, 213, 3, 88, 1632, 80, 13, 163, 1296, 20983, 116, 112, 4383, 47, 12, 52, 3138, 32, 15, 26, 16, 8, 1566, 9916, 5, 3720, 13, 7222, 8789, 30, 8, 4548, 8183, 4033, 37, 1449, 13, 21666, 7 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 11, 8, 1456, 1028, 14836, 7, 2953, 57, 8, 615, 141, 103, 32, 2726, 7222, 14131, 7, 38, 3, 9, 1573, 13, 5127, 30, 8, 4548, 8183, 5, 438, 26044, 16, 4106, 6, 852, 155, 1258, 263, 8, 336, 7222, 14131, 661, 30, 8, 4548, 8183, 16, 932, 13978, 6, 9759, 3, 9, 1207, 397, 18, 22983, 9872, 18, 13739, 52, 12, 918, 3, 9, 4716, 44, 7834, 3523, 6, 84, 116, 743, 47, 396, 731, 12, 995, 3, 9, 7222, 14131, 12, 1903, 365, 34, 5, 2506, 203, 11, 9837, 26044, 435, 4311, 28, 8, 531, 7619, 106, 789, 30, 112, 1205, 45, 8, 615, 5, 216, 47, 5830, 7532, 16, 46, 3125, 16, 14448, 6, 9580, 11, 3977, 16, 46, 2833, 16, 11680, 6, 9580, 16, 1762, 957, 2773, 5, 978, 293, 280, 141, 3, 20326, 15, 26, 8, 1297, 892, 13, 7222, 8789, 16, 8, 21989, 5617, 4691, 5457, 45, 507, 3840, 12, 13978, 5, 389, 2749, 4033, 348, 113, 141, 801, 12202, 26044, 243, 13, 376, 10, 96, 15013, 26044, 273, 113, 228, 726, 130, 1644, 11, 273, 113, 2654, 31, 17, 130, 470, 646, 1187, 1280, 1610, 92, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 18565, 1117, 2042, 41, 13072, 14074, 49, 507, 4327, 61, 17420, 14131, 7, 13, 8, 4548, 8183, 11, 1793, 32, 324, 9, 63, 2473, 7, 2507, 7, 507, 3390, 3879, 7, 957, 2773, 14319, 4151, 30899, 17420, 2009, 14268, 7, 2449, 13, 8, 26087, 727, 5208, 2540, 20710, 1, 1821, 17, 27, 354, 1629, 41, 6, 92, 3, 7, 14528, 2474, 17, 27, 354, 1629, 3670, 19, 3, 9, 3309, 16, 8, 14807, 10510, 342, 16, 8, 2069, 1244, 1925, 28, 46, 616, 13, 3547, 755, 2688, 146, 13363, 7, 5, 3, 8691, 3241, 1296, 2286, 3457, 13, 14807, 6, 34, 141, 3, 9, 2074, 13, 431, 3916, 16, 12598, 10450, 1821, 17, 27, 354, 1629, 19, 1069, 3457, 18, 12425, 13, 14807, 6, 4947, 15, 26, 57, 901, 7802, 115, 12, 8, 5727, 11, 901, 7802, 115, 3, 6347, 12, 8, 3457, 6, 1821, 17, 970, 1824, 2436, 12, 8, 4653, 6, 11, 2106, 26, 1259, 12, 8, 3414, 5, 5528, 12881, 32, 348, 3, 1498, 1821, 17, 27, 354, 1629, 47, 3, 10975, 139, 8, 12881, 32, 348, 12187, 16, 627, 2517, 28, 66, 13, 23846, 6, 11, 16, 627, 4314, 34, 4283, 16, 8, 1104, 3691, 7, 38, 271, 16, 8, 3, 8607, 23, 63, 9, 13, 901, 18, 5991, 26, 7, 16, 8, 3, 40, 23, 210, 9, 13, 901, 18, 5991, 26, 7, 365, 8, 564, 13, 2474, 17, 27, 1629, 5, 94, 141, 3, 9, 2074, 13, 431, 5699, 117, 113, 130, 66, 16932, 5, 328, 1866, 3, 9, 3599, 3969, 9, 3493, 1104, 18, 2206, 13, 5400, 5, 5170, 30, 10687, 494, 6, 379, 13221, 6, 1207, 1306, 6, 1248, 15183, 6, 7994, 3124, 6, 18890, 7, 6, 2728, 3124, 6, 18174, 7, 11, 36, 15, 107, 8763, 6, 16, 811, 12, 14521, 14609, 117, 3, 9, 792, 13, 3, 22092, 3, 1639 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 8970, 15, 5, 86, 1003, 3747, 4117, 1908, 12105, 15, 2650, 34, 493, 1422, 49, 6, 2492, 34, 96, 106, 8, 9956, 12, 8, 5727, 13, 8, 10645, 1280, 86, 507, 3747, 6, 34, 47, 3028, 38, 3, 9, 10148, 3309, 6, 1069, 16, 8, 2798, 23, 1534, 8654, 616, 6, 4653, 13, 14807, 5, 86, 507, 4591, 8, 276, 9976, 31, 7, 11418, 13, 3782, 23846, 41, 17838, 345, 61, 3028, 1821, 17, 27, 19485, 38, 10, 96, 9, 3309, 13, 8107, 812, 30, 3, 9, 9956, 28, 3, 9, 2141, 44, 128, 2357, 12, 8, 4653, 535, 2390, 1140, 5522, 3, 1498, 86, 8, 957, 2884, 23087, 13, 23846, 4468, 57, 8, 2390, 1140, 5522, 5779, 6, 96, 279, 9, 155, 27, 19485, 121, 141, 3, 9, 2074, 13, 3, 3390, 16932, 6, 23155, 3300, 16, 8, 957, 3341, 23087, 12, 10630, 16932, 6, 16, 968, 4790, 5, 86, 8, 18315, 7475, 1821, 17, 27, 354, 1629, 141, 3, 9, 2074, 13, 2861, 16932, 6, 28, 3, 9, 792, 13, 3547, 17147, 146, 13363, 7, 13, 1322, 6, 1315, 12, 46, 2314, 1322, 11, 2074, 3719, 5, 1129, 48, 6, 9217, 7, 261, 3, 20889, 146, 13363, 7, 21, 1475, 1628, 11, 3, 16827, 122, 179, 1322, 6, 668, 2884, 21, 17360, 7, 6, 298, 505, 146, 13363, 7, 130, 1192, 18, 413, 41, 19413, 61, 1322, 5, 8480, 23, 152, 3, 1498, 86, 8, 7178, 13, 8, 21474, 9217, 104, 30387, 23, 1602, 6, 11, 227, 8, 24319, 5412, 3040, 15, 7139, 7, 6, 1821, 17, 27, 354, 1629, 764, 365, 8480, 23, 152, 3356, 5, 37, 8480, 23, 152, 23087, 13, 21018, 435, 3, 22174, 21155, 16, 1821, 17, 27, 354, 1629, 5, 1844, 18148, 1541, 8, 7643, 18, 16803, 1602, 16, 18148, 6, 1821, 17, 27, 354, 1629, 65, 118, 365, 9351, 13792, 5, 3526, 8, 7273, 29206, 2466, 3, 26599, 6, 4357, 6170, 13, 8, 792, 3309, 616, 47, 12910, 38, 5690, 272, 6, 11, 8, 4080, 3, 4271, 5, 5170, 12910, 38, 5690, 205, 6, 365, 423, 9351, 610, 5, 3352, 65, 28462, 920, 1322, 16, 1821, 17, 27, 354, 1629, 21, 7025, 7, 6, 379, 3156, 208, 31, 144, 4603, 31, 15, 208, 11, 3156, 208, 31, 106, 1626, 31, 8399, 3198, 9, 5, 86, 811, 6, 8, 13608, 1481, 4285, 7, 2400, 1821, 17, 27, 354, 1629, 1322, 6, 3140, 668, 2079, 146, 5525, 7, 6, 41, 127, 6654, 5, 4704, 13, 8, 792, 3309, 31, 7, 616, 201, 1187, 8, 1481, 6, 30, 8, 9351, 596, 5, 37, 10748, 2713, 13, 8, 1322, 398, 3, 4610, 30, 9351, 6059, 12, 592, 70, 1322, 5, 1915, 5451, 19, 163, 7020, 12, 8, 785, 2527, 6, 557, 12766, 151, 6, 3140, 135, 3, 6319, 12, 3804, 199, 12, 161, 8, 1322, 5, 555, 384, 16, 1821, 17, 27, 354, 1629, 1342, 28, 4205, 30, 66, 4458, 13, 165, 785, 788, 12, 3616, 1322, 1215, 1409, 2246, 1628, 57, 3352, 5, 4488, 9249, 2067, 210, 89, 23, 1824, 1072, 9, 152, 435, 3, 9, 1534 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1824, 265, 41, 7, 107, 9249, 61, 21, 3, 35, 18, 29, 15975, 6214, 7, 99, 6, 30, 3, 9, 2140, 84, 3, 16032, 1821, 17, 27, 354, 1629, 5, 17881, 7, 26690, 5984, 41, 1572, 5, 1003, 3, 18, 507, 10, 48, 1267, 1821, 17, 27, 354, 1629, 6, 1315, 12, 5636, 3537, 6, 2464, 6, 3, 102, 5, 1902, 7256, 41, 102, 5, 1902, 7256, 26241, 2416, 5242, 12, 2474, 17, 27, 354, 1629, 11418, 13, 3782, 23846, 6, 6950, 1003, 10, 27, 5498, 6, 2142, 2168, 8172, 1017, 7, 2474, 17, 27, 354, 1629, 3309, 41, 8717, 4228, 201, 3, 20822, 2200, 2548, 104, 7851, 4502, 9, 109, 51, 41, 22410, 683, 61, 1821, 17, 27, 354, 1629, 3309, 3278, 6, 3, 22410, 683, 1821, 17, 27, 354, 1629, 22142, 1202, 6, 3, 22410, 683, 4593, 485, 2958, 6783, 2197, 11, 5882, 7, 16, 1821, 17, 27, 354, 1629, 6, 3, 22410, 683, 9915, 15038, 7305, 7, 16, 8, 1244, 1925, 14807, 10510, 342, 1, 37, 4485, 9, 16310, 41, 61, 19, 3, 9, 938, 10241, 4070, 22726, 18, 11748, 23, 9, 2532, 3, 9275, 52, 1950, 7478, 1077, 10431, 16, 8, 3, 17, 9803, 89, 189, 2646, 41, 12137, 33, 9811, 12, 8, 20394, 189, 18, 14006, 2457, 276, 12019, 302, 201, 713, 3673, 865, 5, 37, 3, 15, 102, 19140, 1162, 160, 32, 6, 30, 112, 194, 12, 3, 9, 2826, 2725, 44, 37, 7, 7, 138, 4554, 9, 6, 19, 7544, 120, 1026, 12, 1626, 1395, 6, 84, 19, 3, 16718, 57, 2576, 2565, 5638, 11, 2576, 2565, 4831, 41, 5751, 8, 3, 22511, 127, 37, 21144, 32, 7, 38, 3, 9, 5191, 201, 11, 213, 96, 517, 138, 173, 2, 3247, 121, 41, 6279, 19, 6, 11337, 61, 143, 95, 163, 80, 4220, 17, 41, 2, 61, 13, 186, 5, 86, 80, 3112, 6, 3, 9, 3, 15, 202, 2295, 3, 2544, 522, 96, 5605, 1496, 114, 8, 1997, 121, 23874, 7, 16, 4485, 9, 16310, 31, 7, 3, 2741, 5, 978, 9663, 37, 7512, 15, 845, 34, 31, 7, 112, 4879, 23, 152, 11831, 5, 7504, 11, 7314, 391, 5, 3385, 32, 6, 96, 345, 7, 15, 76, 26, 32, 18, 11748, 20028, 6, 4485, 1665, 782, 1686, 16, 938, 172, 288, 77, 9, 3, 15, 17, 3, 29, 15, 32, 18, 107, 693, 12878, 3, 29, 15, 9, 21631, 29, 9, 1682, 29287, 10, 3, 8313, 155, 85, 1227, 1823, 3003, 5, 205, 10206, 3515, 1227, 5375, 11697, 9, 3, 115, 27499, 77, 9, 6, 17184, 117, 3, 1572, 5, 9526, 18, 4508, 5, 272, 5, 29467, 6, 4485, 9, 16310, 6, 30355, 15, 26, 28, 18921, 11, 5257, 1208, 5, 11901, 10, 14914, 1015, 636, 3373, 6, 13480, 5, 389, 106, 603, 10158, 2106, 10241, 7, 2018, 75, 2099, 4485, 9, 16310, 6, 3, 8970, 15, 208, 10, 19650, 77, 3, 2, 956, 382, 14858, 448, 439, 6, 3, 2, 5627, 6724, 10, 4575, 1847, 23, 4701, 63, 2, 29, 40, 291, 2, 6, 6503, 5, 1610, 92, 37, 3137, 23, 1572 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 302, 42, 1484, 75, 63, 32, 51, 5965, 9, 57, 11977, 152, 22839, 1665, 7, 31, 20709, 12, 1626, 1395, 41, 5867, 938, 10241, 4070, 61, 17881, 7, 5740, 26, 7999, 7, 6, 71, 5, 6, 11419, 15, 14378, 16, 938, 172, 288, 2552, 10, 37, 25008, 7, 13, 6781, 28521, 11, 8, 419, 7239, 13, 8, 6744, 138, 16418, 5, 10096, 10, 205, 6880, 6, 2628, 117, 3, 1572, 5, 2307, 25369, 4591, 5, 262, 2047, 7, 1778, 6, 96, 634, 4485, 9, 16310, 10, 3, 28318, 3, 9, 30621, 23842, 257, 1686, 16, 276, 5, 9899, 127, 5807, 41, 15, 26, 5, 201, 325, 522, 212, 8831, 15, 20, 50, 31533, 938, 10241, 4070, 10, 312, 10062, 3, 35, 6584, 238, 1569, 3, 29073, 5, 1919, 10, 3, 31721, 93, 10797, 7, 17868, 3, 35, 13554, 7787, 7, 6, 2969, 3, 26, 22, 9643, 7, 938, 10241, 4070, 7, 6, 14563, 32, 18, 88, 195, 13614, 7771, 3, 15, 17, 8411, 18, 222, 15851, 7, 41, 4135, 7, 7, 4518, 57, 172, 288, 77, 7, 6, 5063, 5, 7973, 22316, 137, 26094, 107, 3768, 6, 71, 5, 11, 71, 5, 549, 13626, 106, 18, 427, 102, 4008, 6, 5968, 16, 938, 10241, 4070, 10160, 16, 8, 1289, 6190, 189, 11, 332, 9803, 89, 189, 18434, 76, 2593, 5, 20776, 11, 3144, 4975, 10, 636, 13, 1826, 3373, 6, 5541, 117, 3, 1572, 5, 3, 24090, 7, 1824, 5, 938, 10241, 4070, 6678, 586, 189, 18, 14006, 1335, 1, 18102, 18707, 23, 41, 117, 16312, 61, 19, 3, 9, 2830, 2377, 113, 1553, 3924, 44, 8, 1246, 13, 192, 18, 232, 18, 9, 18, 17114, 5, 1347, 161, 47, 3, 21102, 16, 1473, 116, 255, 47, 662, 6, 4283, 30, 3, 9, 442, 545, 7334, 116, 255, 47, 2641, 6, 11, 255, 141, 3, 9, 6729, 4473, 44, 3, 9, 7071, 16, 1524, 116, 255, 47, 27137, 6, 11, 1116, 227, 6, 44, 8, 13962, 283, 5, 180, 4365, 1171, 7557, 44, 8, 3931, 7, 8008, 29, 14932, 6, 16, 3, 9, 6723, 6981, 4997, 57, 8, 14448, 18, 188, 17, 7815, 3312, 13, 1261, 16, 10585, 896, 6, 12401, 5, 37, 180, 4365, 1171, 6981, 1285, 3, 9, 3924, 612, 116, 255, 47, 386, 7201, 96, 439, 17132, 535, 938, 8, 97, 255, 47, 26653, 6, 1296, 315, 1335, 141, 118, 1545, 81, 18102, 18707, 23, 5, 328, 1219, 8, 733, 13, 46, 16679, 3202, 113, 1858, 12, 2383, 21622, 7, 6, 3, 12534, 32, 106, 7, 6, 11, 10003, 6, 11, 113, 3, 4774, 139, 3, 9, 296, 18, 89, 265, 1162, 1021, 3, 6808, 113, 7445, 38, 26108, 7, 13, 8, 3931, 7, 8008, 29, 7533, 160, 482, 786, 6331, 11, 3652, 28, 160, 10410, 6453, 5, 18102, 18707, 23, 92, 3, 21102, 16, 3434, 11, 3, 4774, 12, 333, 24, 684, 16, 160, 2214, 3, 6808, 203, 5, 9165, 53, 8, 2968, 1612, 11, 3447, 3, 9, 10946, 12, 810, 768, 16, 3434, 6, 16, 6911, 1553, 12, 810, 768, 44, 8, 4702, 13, 11456, 4218, 22402 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 451, 65, 141, 186, 4473, 7, 16, 3434, 437, 6911, 6, 379, 44, 25010, 2215, 4339, 7, 5, 451, 19, 4464, 12, 9050, 17792, 4765, 18, 152, 5, 17881, 7, 26241, 2416, 18102, 18707, 23, 9152, 7, 45, 2846, 1468, 226, 23, 5753, 151, 16312, 3879, 7, 4702, 13, 11456, 4218, 6, 22402, 10644, 2449, 45, 2846, 173, 77, 9364, 3153, 1, 4599, 7780, 454, 663, 41, 28635, 10372, 25684, 3, 104, 1332, 12074, 7520, 61, 47, 46, 797, 10501, 14804, 11, 21982, 113, 19, 6141, 12, 43, 26313, 662, 887, 16, 11, 300, 2716, 14701, 274, 112, 10319, 16, 14834, 5, 216, 47, 3, 21217, 13, 7738, 53, 386, 13, 135, 6, 11, 59, 1940, 12, 3689, 30, 8, 4509, 5, 216, 47, 13763, 57, 8, 538, 13, 5664, 16, 8, 2806, 3533, 5, 25093, 86, 14834, 6, 18751, 6, 5664, 47, 3, 22725, 3, 9, 6772, 13, 7738, 7, 13, 887, 5, 3, 8656, 12766, 872, 887, 141, 118, 4792, 57, 3, 9, 28998, 127, 24649, 26, 8, 6394, 53, 5438, 29, 12683, 5, 86, 811, 6, 8, 5678, 13, 192, 1021, 1001, 3, 7, 994, 2765, 141, 118, 435, 1067, 13, 4361, 493, 9416, 4676, 5, 37, 8378, 342, 1637, 13, 8926, 130, 5229, 57, 3, 9, 2068, 12, 8, 415, 2095, 5752, 1545, 30, 907, 1323, 6788, 2478, 4203, 5, 37, 609, 14973, 2232, 3990, 16262, 12, 36, 45, 3, 9, 3, 3810, 13, 2391, 872, 1076, 113, 130, 3609, 3, 9, 1001, 2335, 2290, 545, 11, 133, 5781, 160, 3, 99, 8, 6394, 53, 5438, 29, 12683, 130, 59, 1120, 60, 107, 14550, 5, 37, 6394, 53, 5438, 29, 12683, 47, 6141, 12, 36, 3, 9, 1001, 388, 6, 11, 48, 141, 118, 5456, 2196, 44, 8, 97, 5, 37, 2391, 872, 28841, 15, 7, 3, 21464, 12, 36, 801, 38, 8, 96, 3809, 2319, 13, 26567, 1686, 11, 1114, 8, 2095, 5752, 12, 4521, 28, 135, 1009, 4175, 30, 2252, 42, 4390, 5, 37, 166, 2068, 47, 2348, 57, 717, 117, 3725, 6, 3, 9, 4037, 10348, 2173, 13, 24836, 47, 92, 263, 12, 453, 8, 3, 12554, 2290, 545, 6, 2776, 173, 7714, 6, 7267, 5, 41, 683, 4365, 739, 47, 92, 801, 38, 23506, 2776, 173, 377, 11684, 11, 119, 3, 5434, 2260, 5, 61, 37, 5487, 130, 2348, 57, 951, 3088, 5, 37, 5487, 11, 3088, 130, 3, 9, 3534, 9, 226, 3855, 12, 12355, 17, 1388, 45, 8, 490, 14804, 5, 2776, 173, 7714, 6, 8, 5741, 2290, 545, 6, 141, 118, 26313, 874, 1274, 274, 255, 47, 435, 6, 11, 274, 8, 166, 2068, 47, 1622, 5, 1347, 643, 47, 3883, 16, 778, 1186, 14834, 5, 451, 47, 1401, 203, 625, 5, 14902, 227, 2239, 6, 826, 3909, 16, 780, 430, 580, 45, 8, 96, 3809, 2319, 13, 26567, 1686, 3, 9, 511, 1001, 2335, 31, 7, 643, 47, 435, 44, 3, 9, 18371, 620, 44, 4361, 493, 9416, 5, 1347, 564, 47, 27, 1536, 15, 21564, 2168, 8804, 5, 451, 47, 3538, 5, 17579, 3278, 52, 2715, 480, 5 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7127, 7, 1171, 990, 3, 9, 3278, 84, 15376, 15, 26, 24, 8, 14804, 47, 80, 388, 6, 59, 2391, 117, 1001, 6, 59, 872, 117, 712, 6, 59, 168, 18, 15, 4817, 920, 6, 11, 1077, 3, 9, 731, 18, 6254, 53, 2716, 388, 44, 8, 21, 17, 16, 112, 1480, 3, 17, 16103, 725, 5, 3, 3626, 8, 3278, 11, 2718, 24, 321, 7714, 11, 21564, 2168, 8804, 130, 17074, 155, 2810, 7, 6, 5664, 10504, 13, 25093, 5803, 19141, 1084, 8, 21, 17, 21, 6448, 84, 141, 2389, 1001, 9331, 7, 5, 328, 130, 1224, 3, 179, 12, 2862, 4599, 454, 663, 11, 10319, 376, 5, 216, 47, 3, 9, 13712, 41, 427, 18, 7256, 5223, 12, 46, 768, 7613, 63, 1745, 44, 8, 21, 17, 38, 3, 9, 4072, 2535, 5, 454, 663, 141, 11173, 112, 2716, 1415, 38, 3, 9, 7899, 274, 6109, 8, 6788, 5, 366, 11230, 15, 26, 28, 2084, 379, 112, 609, 9933, 6, 2249, 18338, 6, 11, 9585, 11384, 45, 8, 5447, 8073, 6, 454, 663, 25613, 15, 26, 12, 9357, 321, 887, 11, 12, 8, 9357, 13, 3, 9, 1025, 2335, 44, 4361, 493, 9416, 16, 1600, 16433, 5, 14412, 454, 3142, 348, 6, 14320, 47, 3, 9, 872, 6788, 1045, 801, 12, 833, 1001, 10838, 11, 569, 1737, 16, 1001, 11943, 7, 5, 454, 663, 47, 59, 4977, 28, 454, 3142, 348, 31, 7, 7738, 16, 8, 14705, 358, 6, 68, 47, 4977, 6, 1971, 6, 11, 3, 21217, 57, 3, 9, 1614, 22526, 21, 160, 1687, 5, 3, 18167, 6, 454, 663, 47, 92, 4313, 38, 8, 14804, 13, 3, 9, 1021, 1001, 2335, 44, 4361, 15717, 20429, 16, 11494, 5, 454, 663, 47, 59, 4977, 28, 48, 7738, 5, 611, 6, 3, 3565, 112, 662, 801, 3, 10207, 9440, 7, 6, 3, 88, 47, 16679, 13, 8, 6394, 53, 5438, 29, 12683, 7738, 7, 6, 3725, 3, 20923, 12, 430, 1001, 388, 6, 3, 30339, 13439, 5, 17190, 8773, 454, 663, 47, 3, 21217, 16, 3, 9, 2716, 1614, 6, 68, 59, 1971, 16, 14705, 8773, 6, 21, 8, 7738, 13, 27, 1536, 15, 21564, 2168, 8804, 5, 454, 663, 47, 92, 1971, 11, 3, 21217, 16, 3, 9, 1614, 22526, 6, 68, 59, 3, 9, 14705, 1614, 6, 21, 8, 7738, 13, 14412, 454, 3142, 348, 5, 3, 2092, 112, 1614, 22526, 21, 8, 7738, 13, 27, 1536, 15, 21564, 2168, 8804, 6, 454, 663, 1204, 3, 9, 280, 7142, 84, 47, 7211, 26, 116, 10081, 127, 7, 1500, 3, 88, 3, 40, 13365, 8, 2550, 2614, 21, 554, 5700, 6821, 5, 242, 8, 14319, 13, 321, 454, 3142, 348, 11, 21564, 2168, 8804, 6, 454, 663, 31, 7, 804, 1614, 22526, 7142, 47, 280, 44, 614, 5347, 5, 37, 13929, 7, 130, 356, 5915, 16, 6694, 11, 3, 88, 47, 59, 3, 60, 17, 9889, 57, 8, 2716, 1614, 358, 5, 7707, 23, 152, 8773, 454, 663, 3, 208, 5, 1015, 6, 204, 2128, 2776, 5, 505, 4834, 6, 204, 3651, 180, 5, 427, 5, 357, 26 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 220, 3288, 6, 12276, 5, 11958, 6, 314, 3647, 412, 5, 134, 5, 335, 3708, 6, 13736, 180, 5, 254, 17, 5, 489, 4314, 6, 3, 3539, 301, 5, 427, 26, 5, 357, 26, 431, 2596, 2863, 2079, 137, 86, 48, 495, 6, 454, 663, 31, 7, 13929, 11, 7142, 13, 1687, 16, 8, 7714, 7738, 130, 3, 30511, 57, 8, 5664, 8531, 2243, 5, 37, 21564, 2168, 8804, 7738, 19, 92, 1285, 16, 8, 2243, 31, 7, 4505, 51, 257, 13, 8, 6688, 5, 454, 663, 3, 208, 5, 1027, 288, 6, 314, 4834, 412, 5, 134, 5, 668, 4122, 6, 3, 14388, 180, 5, 254, 17, 5, 460, 4448, 6, 9455, 301, 5, 427, 26, 5, 357, 26, 314, 4729, 2863, 4613, 137, 37, 907, 1323, 8531, 2243, 11958, 12276, 23, 127, 1665, 16, 454, 663, 31, 7, 2010, 9, 7, 11736, 302, 3958, 16, 8, 7714, 7738, 5, 4599, 7780, 454, 663, 6, 5520, 4749, 49, 6, 3, 208, 5, 13171, 309, 5, 1027, 288, 6, 15811, 35, 6, 5664, 27678, 275, 4501, 2420, 1166, 6, 23483, 295, 907, 1323, 2243, 13, 3, 29641, 6, 1289, 6190, 189, 17007, 5, 431, 4314, 377, 5, 357, 26, 668, 2445, 6, 12276, 5, 11958, 6, 314, 3891, 412, 5, 134, 5, 586, 1714, 6, 3, 17864, 180, 5, 254, 17, 5, 3097, 3628, 6, 3, 4013, 301, 5, 427, 26, 5, 357, 26, 1179, 4271, 2863, 4591, 137, 621, 8, 412, 5, 134, 5, 8531, 2243, 14833, 12, 1616, 112, 166, 2010, 9, 7, 11206, 16, 8, 7714, 495, 16, 14505, 6, 8, 2822, 8319, 5867, 1614, 21, 8, 850, 189, 17007, 6, 84, 963, 5664, 6, 3, 30511, 454, 663, 31, 7, 13929, 68, 5563, 3, 9, 3, 60, 17, 12042, 13, 8, 1622, 15, 4733, 1726, 250, 8, 23489, 127, 31, 7, 6733, 5464, 20518, 8, 1622, 15, 4733, 23613, 4431, 120, 18216, 6, 11, 250, 192, 10081, 127, 7, 130, 22187, 120, 19678, 16, 12374, 13, 438, 49, 7990, 106, 3, 208, 5, 7659, 6, 3, 9, 495, 81, 73, 4998, 2428, 12, 12730, 724, 1918, 70, 1687, 10736, 11393, 5, 37, 2822, 8319, 5867, 1614, 2459, 5563, 8, 538, 1614, 358, 12, 370, 3, 9, 126, 6, 72, 2725, 6, 1622, 15, 4733, 3944, 3689, 21, 8, 7738, 13, 7714, 5, 454, 663, 3, 208, 5, 1015, 6, 944, 591, 2776, 5, 305, 3072, 6, 220, 2668, 180, 5, 427, 5, 357, 26, 204, 4225, 6, 12276, 5, 11958, 6, 314, 4581, 412, 5, 134, 5, 335, 3747, 6, 3, 16431, 180, 5, 254, 17, 5, 1640, 11071, 3, 4060, 301, 5, 427, 26, 5, 357, 26, 305, 4608, 2863, 4433, 137, 621, 3, 9, 511, 1622, 15, 4733, 3689, 741, 15, 26, 16, 430, 1687, 7142, 21, 8, 7738, 13, 7714, 6, 8, 5664, 8531, 2243, 3, 30511, 8, 1687, 7142, 5, 454, 663, 5132, 430, 11206, 21, 2010, 9, 7, 11736, 302, 16, 8, 19463, 2243, 13, 299, 17, 7, 1334, 6, 84, 19, 3, 9, 5664, 538, 3689, 1614, 5, 466, 1614, 11958, 112 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 11206, 227, 3609, 46, 6843, 23, 1208, 3507, 5, 454, 663, 3, 208, 5, 28687, 6, 204, 3449, 2776, 5, 431, 3647, 6, 220, 4552, 180, 5, 427, 5, 357, 26, 3, 25987, 2863, 4060, 201, 12276, 5, 11958, 6, 314, 2394, 412, 5, 134, 5, 335, 2122, 6, 3, 17304, 180, 5, 254, 17, 5, 898, 3449, 6, 3, 15442, 301, 5, 427, 26, 5, 357, 26, 3, 27156, 2863, 3914, 61, 37, 5664, 8531, 2243, 3, 30511, 8, 20, 7419, 13, 2010, 9, 7, 11736, 302, 57, 8, 19463, 2243, 13, 299, 17, 7, 1334, 6, 11, 16, 9975, 6, 8, 412, 5, 134, 5, 8531, 2243, 12191, 12, 1616, 112, 3958, 13, 8, 10414, 5664, 8531, 2243, 12346, 5, 621, 8, 5664, 8531, 2243, 3, 30511, 8, 20, 7419, 13, 2010, 9, 7, 11736, 302, 57, 8, 19463, 2243, 13, 299, 17, 7, 1334, 16, 10414, 6, 454, 663, 258, 5132, 3, 9, 126, 11206, 21, 2010, 9, 7, 11736, 302, 16, 8, 2822, 3570, 2243, 21, 8, 4551, 3570, 13, 5664, 117, 24, 1614, 11958, 8, 11206, 406, 3609, 46, 6843, 23, 1208, 3507, 5, 454, 663, 258, 3958, 15, 26, 12, 8, 2822, 8319, 5867, 1614, 21, 8, 850, 189, 17007, 6, 84, 1500, 8, 495, 16, 1762, 6, 8388, 5, 4599, 7780, 454, 663, 6, 5520, 4749, 49, 18, 13219, 6761, 6, 3, 208, 5, 13171, 1027, 288, 6, 15811, 35, 6, 5664, 27678, 3, 184, 4501, 2420, 1166, 6, 23483, 295, 18, 19654, 15, 907, 1323, 2243, 13, 3, 29641, 6, 1289, 6190, 189, 17007, 5, 668, 4959, 377, 5, 357, 26, 850, 2079, 41, 683, 152, 5, 8580, 8388, 137, 419, 88, 9, 1007, 11, 419, 88, 9, 1007, 695, 5185, 75, 3128, 5973, 1332, 9694, 8388, 5, 86, 3, 9, 4352, 4456, 455, 6, 3, 9, 2952, 13, 8, 2822, 8319, 5867, 1614, 16, 8, 850, 189, 17007, 11958, 454, 663, 31, 7, 2010, 9, 7, 3958, 16, 8, 7714, 7738, 6, 11, 11958, 376, 8, 1004, 12, 915, 112, 495, 12, 8, 423, 8319, 5867, 8453, 41, 77, 11931, 13, 8, 2952, 137, 25183, 23, 106, 454, 663, 47, 7142, 26, 12, 1687, 16, 14705, 1614, 21, 8, 7738, 13, 2776, 173, 7714, 11, 7142, 26, 12, 280, 16, 5714, 16, 2716, 1614, 21, 8, 1687, 13, 27, 1536, 15, 21564, 2168, 8804, 5, 978, 2716, 280, 7142, 21, 21564, 2168, 8804, 47, 147, 24346, 5, 978, 14705, 1687, 7142, 21, 7714, 47, 59, 5, 216, 47, 13763, 57, 8, 538, 13, 5664, 30, 1332, 12074, 7520, 6, 1009, 8, 2806, 3533, 5, 216, 47, 8, 204, 3341, 7, 17, 16, 5058, 13763, 12404, 437, 8, 412, 5, 134, 5, 8531, 2243, 13216, 8, 1687, 10736, 16, 16164, 11, 8, 507, 189, 16, 5664, 5, 86, 8, 716, 274, 112, 1687, 6, 8, 8531, 2243, 3, 11060, 6, 431, 104, 6355, 59, 12, 1099, 112, 3958, 5, 86, 3, 26, 10924, 6, 6923, 8929, 1589, 51, 202, 243, 24, 237, 3, 99, 3, 88, 141, 59, 1310, 454, 663, 141, 46, 3 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 20835, 13, 6374, 18, 4440, 979, 6, 84, 853, 15821, 376, 38, 96, 24678, 747, 8445, 11850, 121, 30, 941, 1035, 2643, 7, 13, 2550, 19329, 257, 5, 13228, 8843, 277, 63, 2502, 807, 3, 15262, 454, 663, 31, 7, 2550, 11, 3, 8118, 23, 9, 3929, 2637, 141, 990, 21760, 1884, 12, 8, 239, 13, 112, 9281, 75, 14548, 6, 11, 80, 318, 532, 822, 13, 3, 52, 9, 4703, 14387, 16, 8, 538, 1622, 15, 4733, 12730, 318, 624, 155, 3834, 3, 29155, 15627, 5, 37, 5664, 1015, 2086, 13, 2180, 2029, 7, 11, 2180, 32, 965, 141, 59, 237, 5594, 5236, 165, 455, 3, 26634, 112, 1049, 13, 9328, 6, 11, 3, 9707, 40, 920, 34, 28, 430, 1708, 81, 128, 119, 5714, 49, 5, 37, 5664, 8531, 2243, 11958, 112, 3958, 57, 163, 80, 2902, 6, 314, 104, 5787, 555, 13, 112, 10081, 127, 7, 44, 112, 511, 1622, 15, 4733, 41, 10245, 8, 166, 47, 7211, 26, 21, 23489, 11929, 28742, 201, 3, 9, 872, 2335, 2650, 25630, 312, 13726, 6, 764, 1039, 12, 934, 24, 119, 10081, 127, 7, 263, 3, 52, 9, 4703, 21029, 81, 454, 663, 224, 38, 96, 4998, 80, 72, 8032, 3, 7315, 1304, 24, 150, 80, 133, 3041, 121, 11, 6, 3, 99, 13763, 6, 3, 88, 133, 36, 96, 782, 705, 3, 7315, 1304, 12, 8885, 535, 290, 47, 163, 80, 1001, 10081, 127, 6, 3, 9, 2208, 18, 1201, 18, 1490, 2335, 2650, 20338, 109, 9765, 4173, 7, 5, 2150, 12, 312, 13726, 6, 4173, 7, 47, 1426, 15, 26, 12, 3, 52, 9, 4703, 16, 162, 75, 3268, 16, 8, 12730, 562, 5, 2150, 12, 321, 312, 13726, 11, 4173, 7, 6257, 6, 4173, 7, 12191, 12, 2902, 21, 8, 1687, 10736, 5, 37, 119, 10081, 127, 7, 14986, 160, 11, 2196, 12, 8, 5191, 24, 79, 130, 25141, 5, 366, 8, 12730, 47, 5492, 15, 26, 16, 8, 3053, 13, 8, 1614, 6, 4173, 7, 47, 57, 258, 396, 3, 89, 3535, 4632, 12, 2516, 95, 5, 37, 119, 10081, 127, 7, 141, 1219, 160, 24, 255, 228, 36, 3, 21217, 13, 399, 10609, 63, 3, 99, 255, 2925, 12, 1520, 91, 6, 437, 255, 141, 794, 3676, 6, 383, 12730, 1801, 6, 24, 255, 228, 2902, 21, 8, 1687, 10736, 5, 37, 2084, 13, 312, 13726, 11, 4173, 7, 91, 4843, 26, 186, 2785, 14290, 5, 180, 6146, 80, 8468, 15627, 6, 486, 3, 9, 973, 496, 2542, 8, 826, 215, 6, 4917, 18393, 446, 5, 10456, 1639, 4568, 44, 128, 2475, 112, 3474, 24, 454, 663, 31, 7, 1964, 9859, 12, 8, 7142, 5, 86, 1012, 1543, 454, 663, 47, 3, 27486, 57, 3, 31394, 10618, 16, 8, 511, 774, 13, 8, 11894, 939, 6, 8477, 107, 5957, 5, 1610, 92, 6792, 13, 151, 13763, 16, 5664, 41, 1265, 5, 134, 5, 538, 61, 6792, 13, 10501, 14804, 7, 16, 8, 907, 1323, 17881, 7, 23744, 3879, 7, 7520, 14319, 460, 189, 18, 14006, 9328, 7, 57, 5664, 41, 1265, 5, 134, 5, 538, 61 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 797, 151, 3, 21217, 13, 7738, 16923, 7, 581, 3, 7, 994, 2765, 16, 8, 907, 1323, 25183, 15, 26, 3850, 18, 8778, 151, 25183, 15, 26, 797, 10501, 14804, 7, 17830, 10501, 14804, 7, 2449, 3, 21217, 13, 7738, 57, 5664, 41, 1265, 5, 134, 5, 538, 61, 2449, 3, 21217, 13, 7738, 57, 8, 907, 1323, 2716, 2449, 13763, 57, 5664, 41, 1265, 5, 134, 5, 538, 61, 57, 2806, 3533, 27344, 277, 7142, 26, 12, 280, 30823, 57, 8, 907, 1323, 2716, 907, 1323, 6788, 10838, 907, 1323, 7899, 7, 16433, 7738, 7, 16, 8, 907, 1323, 460, 189, 18, 14006, 9328, 7, 13, 797, 151, 2449, 13763, 21, 7738, 2922, 4703, 3534, 11579, 7, 907, 1323, 6788, 4231, 113, 130, 1614, 18, 1635, 10646, 15, 26, 1, 37, 907, 6524, 1121, 11305, 47, 46, 3472, 14568, 297, 1068, 15513, 6, 2127, 16, 21402, 57, 8, 24420, 13255, 27275, 7, 2063, 41, 4256, 3073, 137, 37, 1121, 11305, 27275, 41, 858, 324, 718, 8, 96, 683, 202, 23, 127, 11305, 121, 42, 96, 683, 202, 23, 127, 7, 8512, 47, 1086, 1026, 44, 1246, 10128, 8233, 16, 284, 1426, 47, 2769, 26, 38, 10, 1699, 173, 6, 3424, 6, 6529, 42, 2678, 17, 77, 4985, 5, 4375, 141, 12, 2485, 1296, 9016, 6, 379, 1566, 11, 23516, 6, 12, 3442, 3, 9, 6017, 5, 304, 3442, 3, 9, 96, 20705, 7830, 20554, 121, 80, 141, 12, 3442, 44, 709, 3, 9, 998, 16, 874, 7404, 6, 379, 1566, 6, 23516, 6, 2854, 11, 3, 9, 1612, 5, 3, 3405, 113, 4567, 228, 3, 60, 4914, 8, 6498, 5, 886, 481, 113, 2804, 258, 3, 8070, 30, 44, 496, 12, 240, 8, 16808, 1121, 11305, 41, 858, 324, 718, 8, 96, 134, 35, 23, 127, 11305, 121, 42, 96, 134, 35, 23, 127, 7, 8512, 44, 1246, 12265, 37, 1121, 11305, 47, 31226, 15, 26, 227, 8, 350, 4770, 411, 18, 25465, 47, 3665, 16, 25684, 5, 37, 1121, 11305, 92, 16415, 16, 3, 9, 381, 13, 21260, 1440, 224, 38, 2051, 11, 6243, 44, 796, 648, 5, 1610, 92, 1121, 11305, 41, 31971, 61, 1121, 11305, 41, 6861, 5725, 61, 1121, 11305, 41, 19059, 155, 23, 302, 61, 1121, 11305, 3, 18, 2502, 6826, 7, 10, 28123, 6, 7904, 16808, 1121, 11305, 41, 5110, 23, 1054, 6524, 61, 350, 4770, 21983, 1208, 7166, 41, 27490, 61, 41, 667, 18, 25465, 61, 350, 4770, 21983, 1208, 7166, 41, 5110, 23, 1054, 6524, 61, 10096, 1331, 21983, 1208, 7166, 41, 134, 53, 9, 21642, 61, 10096, 1331, 411, 18, 25465, 7404, 11305, 13, 24420, 2855, 41, 254, 4132, 61, 11305, 13, 24420, 2855, 41, 5110, 23, 1054, 6524, 61, 41, 254, 4132, 61, 2146, 11305, 13, 24420, 2855, 41, 11055, 4132, 201, 84, 5821, 8, 411, 18, 25465, 7, 11, 205, 4132, 1331, 2146, 11305, 13, 24420, 2855, 41, 8834, 254, 4132, 201, 84, 19, 1860, 28, 42, 1446, 13, 411, 18, 25465, 7, 12012, 2146, 11305, 13, 2855, 41, 517, 4770, 201, 84, 13009, 411, 18, 25465, 7, 11, 71 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 18, 4563, 7, 17881, 7, 19173, 15395, 16, 8, 907, 6524, 1, 970, 900, 2295, 693, 2474, 41, 61, 19, 3, 9, 422, 1511, 8382, 44, 8, 819, 13, 71, 4031, 32, 9, 24454, 30, 1925, 7, 20936, 16, 368, 5725, 5, 1015, 11428, 6374, 9016, 190, 8, 1511, 5, 37, 461, 9, 1123, 20936, 2450, 7, 970, 900, 2295, 693, 10210, 45, 18931, 31, 7, 2474, 5, 970, 900, 2295, 693, 19, 230, 294, 13, 30453, 896, 2063, 10185, 437, 8, 690, 31, 7, 31870, 257, 28, 1925, 7, 20936, 3570, 16, 15066, 1029, 26923, 552, 9975, 6, 970, 900, 2295, 693, 47, 8, 3143, 13, 8, 71, 4031, 32, 9, 1334, 2063, 5, 5528, 37, 353, 13, 46, 4913, 283, 2, 2057, 3, 102, 2, 42, 21, 17, 3676, 7025, 19, 44, 411, 77, 1639, 32, 6, 213, 8, 970, 900, 2295, 693, 2282, 5024, 469, 5, 486, 2255, 549, 14888, 76, 25153, 6, 3, 9, 7151, 9, 42, 615, 1088, 13, 445, 122, 2, 17, 23, 71, 210, 9, 20614, 7, 212, 18109, 383, 8, 3392, 7, 2237, 57, 2255, 22041, 6583, 1024, 16, 507, 3341, 5, 37, 564, 13, 8, 1511, 11, 10210, 639, 45, 8, 244, 4350, 13, 192, 10740, 3736, 965, 18, 26579, 77, 11, 5181, 18, 279, 35, 1191, 1109, 970, 900, 2295, 693, 6, 113, 1213, 1322, 132, 45, 8, 15206, 235, 18, 279, 127, 221, 40, 8284, 1958, 6, 44, 8, 97, 13, 8, 2379, 7025, 44, 71, 4031, 32, 9, 16, 8, 507, 2445, 7, 5, 86, 8, 826, 5112, 6, 1322, 5815, 970, 900, 2295, 693, 2474, 47, 3, 29107, 45, 8, 31868, 2125, 57, 2390, 3, 29547, 6, 379, 4599, 1660, 302, 14626, 6, 113, 47, 8, 4284, 13, 5417, 3080, 14626, 6, 8, 2581, 21982, 11, 6718, 23, 138, 13176, 6, 801, 38, 96, 517, 127, 2029, 13, 12877, 52, 235, 440, 121, 227, 112, 1687, 5, 37, 166, 339, 6134, 7, 130, 2944, 16, 507, 3436, 117, 1456, 1756, 47, 2937, 30, 14592, 16629, 11, 1509, 53, 6, 3323, 12, 2046, 9, 3124, 5, 23610, 3, 9905, 7, 130, 3, 3484, 776, 26, 16, 8, 5827, 6, 113, 3, 51, 53, 1361, 28, 8, 13573, 40, 3, 9905, 7, 24, 130, 641, 915, 5, 282, 8, 2195, 1189, 47, 13139, 6, 34, 47, 5821, 28, 26126, 5, 37, 166, 8955, 52, 44, 8, 3642, 13, 8, 2474, 6, 8, 1128, 13, 8, 915, 1511, 6, 47, 3, 9, 2379, 348, 718, 3, 14615, 1607, 6, 113, 4363, 16, 507, 4853, 5, 25045, 3, 14475, 47, 92, 8, 711, 1756, 6, 38, 168, 38, 3432, 740, 5, 37, 1509, 29, 14592, 47, 66, 4006, 91, 13, 8, 10210, 57, 8428, 1192, 12979, 5, 71, 452, 629, 11, 3, 9, 1814, 130, 1192, 16, 8, 507, 1752, 7, 5, 71, 422, 740, 24, 2098, 38, 321, 2078, 11, 496, 47, 1192, 57, 415, 151, 30, 3, 9, 985, 18, 10610, 5944, 13, 1322, 13207, 57, 2809, 5225, 17, 17, 15, 7377, 5, 37, 166, 3574, 7540, 1553, 12, 36, 8520 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 16, 8, 3, 24700, 7, 11, 507, 4440, 1509, 8, 6870, 13, 8, 1334, 2063, 6036, 11, 8, 1844, 2126, 5, 2867, 8, 970, 900, 2295, 693, 2282, 11, 8, 442, 828, 130, 14621, 6780, 57, 8, 16145, 7, 24, 10056, 8, 1719, 16, 2735, 11, 8088, 37, 10043, 1467, 13, 8, 1595, 130, 20, 4641, 11904, 227, 8, 16145, 7, 6, 8, 4080, 1467, 13, 8, 740, 130, 3, 60, 26940, 38, 3, 9, 712, 18, 7154, 63, 8752, 16, 1600, 6386, 37, 442, 828, 47, 20, 4641, 11904, 16, 1480, 7033, 10007, 16587, 7, 970, 900, 2295, 693, 19, 3028, 57, 19258, 368, 5725, 38, 3, 9, 5372, 7025, 6, 11, 3792, 3, 5, 94, 19, 3, 31801, 28, 119, 7025, 7, 379, 2379, 4990, 6, 3129, 23, 17965, 6, 17461, 31, 7, 2474, 11, 18973, 9, 3357, 76, 9, 38, 8, 11775, 616, 13, 71, 4031, 32, 9, 24454, 4663, 2962, 51, 16587, 7, 5, 970, 900, 2295, 693, 141, 3, 9, 2074, 13, 8003, 44, 8, 846, 368, 5725, 23087, 6, 3, 9, 6313, 13, 604, 151, 41, 11590, 5, 5170, 61, 437, 8, 2038, 23087, 6, 11, 46, 993, 13, 668, 151, 41, 26627, 6210, 437, 8, 3581, 23087, 5, 290, 130, 3, 4608, 15802, 5, 290, 130, 2777, 5069, 7, 11, 3, 4225, 3955, 7, 6, 1517, 3, 9, 3, 7, 994, 5688, 13, 1300, 4928, 5069, 7, 399, 3955, 5, 37, 15572, 1246, 47, 431, 19660, 203, 41, 2172, 28, 6862, 5, 591, 203, 16405, 201, 28, 627, 151, 13642, 5, 5170, 61, 9742, 365, 627, 203, 6, 586, 41, 29045, 6210, 9742, 627, 12, 14405, 3, 3539, 6918, 29045, 6210, 9742, 604, 12, 6687, 6, 11, 3, 4608, 8457, 29045, 6210, 9742, 7123, 42, 2749, 5, 262, 189, 2532, 2197, 130, 3, 4271, 5, 5170, 1611, 87, 345, 2, 1050, 107, 2, 6, 1877, 5170, 283, 2, 2057, 6, 1877, 5170, 5824, 151, 7, 6, 1300, 6170, 6578, 6, 11, 3594, 6932, 119, 11655, 2197, 41, 235, 1947, 7, 617, 12, 72, 145, 2349, 437, 151, 228, 2862, 28, 1317, 11655, 2197, 137, 1875, 128, 151, 3735, 15, 26, 12, 1517, 70, 5562, 6, 3479, 5, 6932, 141, 150, 5562, 6, 9668, 5, 6170, 130, 2826, 11, 1300, 6170, 141, 119, 5562, 7, 5, 1129, 273, 44, 709, 627, 203, 625, 6, 6352, 4743, 23074, 6210, 151, 141, 3, 9, 16428, 42, 1146, 1952, 6, 11, 2307, 19198, 5, 5988, 61, 151, 141, 150, 4727, 15395, 5, 37, 15572, 2055, 47, 3771, 11864, 7015, 6, 3, 2172, 28, 5583, 4347, 6192, 16405, 5, 37, 4311, 2637, 13, 273, 44, 709, 627, 47, 24, 1640, 6918, 27869, 6210, 151, 130, 8152, 423, 18, 715, 6, 997, 4077, 12451, 6210, 130, 294, 18, 715, 6, 11, 3, 632, 41, 11739, 6210, 130, 73, 18749, 5, 2855, 970, 900, 2295, 693, 1121, 19, 3, 9, 12932, 2329, 496, 14825, 21, 203, 209, 12, 4357, 94, 141, 3, 9, 3812, 13, 38, 13, 37, 496, 47, 2127, 16, 3, 24700, 5, 17881, 7, 1925, 7, 20936, 3325, 450 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 115, 7, 13, 30453, 5777, 83, 920, 1747, 16, 31868, 6, 368, 5725, 2379, 18, 6861, 5725, 1543, 1, 37, 4361, 5152, 15, 2473, 19, 46, 3, 15, 102, 88, 935, 138, 4033, 16, 8, 16536, 1047, 9, 1719, 13, 3782, 2051, 5, 94, 19, 8, 1025, 14783, 4033, 16, 8, 538, 5, 8670, 37, 4033, 3098, 7, 1084, 9651, 348, 3588, 16, 8, 411, 28197, 51, 23, 9, 10971, 81, 604, 2280, 3414, 13, 368, 348, 5, 37, 4033, 14428, 16, 3, 9, 3457, 49, 120, 2212, 8449, 28, 8, 1651, 5961, 11428, 552, 34, 26932, 8, 10367, 131, 3414, 13, 8, 28122, 1386, 919, 18, 1647, 5, 37, 4033, 258, 3154, 3457, 18, 12425, 258, 4653, 12529, 8, 1651, 5961, 11428, 541, 6, 3457, 13, 8, 1392, 2168, 2409, 1840, 5, 3, 24597, 3457, 13, 368, 348, 6, 8, 4033, 14428, 190, 8, 4361, 5152, 15, 21614, 6, 46, 359, 62, 17, 40, 232, 5, 37, 4033, 3256, 12, 819, 4653, 12529, 11428, 209, 44, 8, 4361, 5152, 15, 2409, 1840, 41, 61, 11, 12445, 7, 139, 8, 2557, 7087, 44, 1571, 2498, 5939, 81, 1283, 2280, 3414, 18, 12425, 13, 10939, 8343, 2702, 2780, 5414, 37, 4033, 19, 801, 12, 43, 997, 3, 5135, 17, 5414, 24, 560, 10, 3782, 7682, 6, 1602, 10936, 232, 9, 7682, 6, 13550, 4911, 10878, 7682, 6, 5740, 2565, 7682, 6, 4361, 5152, 15, 2473, 1013, 6, 15477, 1071, 18015, 7682, 6, 19155, 40, 77, 7682, 11, 18939, 9, 18939, 9, 7682, 5, 3, 2092, 6400, 3903, 29, 15, 20950, 16, 16312, 186, 13, 175, 3, 5135, 17, 5414, 92, 3, 25895, 5, 101, 15, 40, 23, 549, 20953, 7682, 11, 101, 15, 5171, 450, 52, 9, 7682, 321, 147, 89, 22411, 11, 2953, 8347, 7, 11, 6179, 9, 6415, 30, 8, 5845, 277, 1306, 9046, 11, 7964, 368, 348, 14421, 2356, 5, 37, 4033, 14428, 190, 3, 9, 381, 13, 3574, 387, 14652, 30, 8, 7722, 294, 13, 165, 2027, 379, 5509, 26, 9, 9896, 6, 283, 425, 2381, 10116, 9896, 6, 4737, 53, 9896, 11, 9509, 23202, 9896, 5, 22570, 297, 37, 4361, 5152, 15, 22570, 297, 616, 7128, 7, 45, 8, 7518, 596, 13, 8, 2695, 13263, 14477, 402, 11, 8, 8390, 596, 13, 8, 5845, 277, 1306, 10971, 492, 169, 13, 8, 3, 17, 13245, 344, 8, 192, 5, 37, 10645, 6080, 7, 33, 10431, 13, 3596, 63, 14364, 7, 28, 128, 5261, 53, 14364, 7, 6, 6899, 265, 7, 11, 614, 1131, 4484, 7, 5, 2336, 19, 5816, 44, 411, 28197, 51, 23, 9, 10939, 84, 4532, 3, 9, 792, 2908, 13, 220, 8630, 6858, 6, 11, 3, 9, 792, 13, 8580, 23838, 3, 6858, 87, 1201, 33, 6796, 45, 8, 1774, 387, 21, 169, 16, 8, 1511, 13, 368, 348, 5, 4361, 5152, 15, 21614, 15, 7, 1610, 92, 4361, 5152, 15, 21614, 15, 7, 37, 819, 3552, 7, 616, 13, 4361, 5152, 15, 2473, 19, 2667, 11, 8113, 107, 63, 5, 94, 19, 3, 9, 1128, 213, 3782, 7682, 6, 1602, 10936, 232, 9, 7682, 11 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 4361, 5152, 15, 2473, 3, 28209, 5, 37, 4033, 258, 14428, 190, 3, 9, 17509, 4802, 4245, 38, 623, 38, 25431, 9826, 397, 6, 116, 8, 4033, 3511, 12, 607, 3, 9, 168, 4802, 4245, 5, 94, 258, 14428, 190, 3, 9, 381, 13, 14652, 274, 7232, 8, 259, 76, 9, 9249, 616, 5, 7545, 76, 1208, 37, 4247, 13, 8, 4033, 19, 3, 9, 508, 259, 76, 9, 9249, 616, 5, 37, 259, 76, 1208, 19, 3323, 73, 7360, 3676, 6, 11, 3621, 3, 5325, 38, 3, 9, 741, 13, 4033, 827, 5, 37, 25110, 5147, 57, 8, 4033, 19, 19235, 3, 16032, 5, 37, 259, 76, 1208, 3792, 3, 9, 792, 1774, 616, 13, 37, 2942, 13, 8, 259, 76, 9, 9249, 616, 19, 263, 95, 13, 3136, 8113, 107, 11, 1413, 17, 23, 26, 138, 2667, 7, 5, 71, 6718, 63, 13, 388, 20254, 7, 169, 8, 259, 76, 1208, 38, 11341, 11, 3, 20817, 46, 616, 13, 3, 5, 7199, 3955, 1386, 2375, 1106, 23, 33, 801, 12, 26350, 8, 259, 76, 1208, 5, 5528, 37, 4033, 47, 2650, 16, 507, 4241, 383, 46, 21807, 57, 8, 3, 20901, 11, 3719, 127, 11065, 3576, 25431, 6, 227, 2695, 13263, 4361, 5152, 15, 6, 12876, 1208, 3526, 18, 134, 15, 16794, 1208, 13, 1015, 21, 8, 3043, 106, 725, 5, 37, 1435, 2713, 13, 8, 616, 24, 8, 4033, 14428, 190, 33, 8, 86, 26, 354, 23, 3348, 23, 151, 5, 1571, 2498, 5939, 6, 44, 8, 8282, 414, 13, 8, 4033, 6, 47, 2127, 1884, 12, 507, 4591, 5, 5245, 8950, 26, 3961, 7, 130, 3, 31037, 6, 11, 57, 24, 215, 130, 6771, 81, 209, 16235, 15184, 5, 15875, 3588, 5939, 6, 231, 856, 3, 25948, 6, 47, 10166, 16, 507, 3840, 57, 9267, 6176, 15, 113, 4157, 2148, 8280, 5939, 5, 37, 166, 2314, 6841, 47, 7020, 12, 309, 5, 2143, 439, 9, 63, 16, 507, 2394, 21, 46, 616, 13, 3, 5, 71, 4716, 12529, 8, 4033, 1084, 15875, 3588, 47, 8520, 16, 8, 1480, 13978, 7, 12, 313, 8, 17941, 681, 5, 10939, 51, 53, 12152, 37, 4033, 65, 118, 3, 25384, 11, 4382, 38, 3, 9, 353, 21, 10157, 7, 6, 16, 8, 25431, 9826, 397, 11, 8, 531, 6938, 9826, 397, 38, 168, 38, 411, 28197, 51, 23, 9, 5, 17881, 7, 2473, 7, 13, 8, 16536, 1047, 9, 1719, 16516, 9992, 5690, 7, 13, 3782, 2051, 1, 37, 1648, 13, 4708, 20334, 2788, 15, 18, 25565, 4969, 5, 204, 19, 3, 9, 23436, 1486, 2306, 1883, 57, 4480, 11010, 11547, 16, 17961, 6013, 3, 9, 508, 7385, 13, 8, 1037, 255, 141, 1883, 30, 160, 166, 1296, 14234, 21, 8, 3783, 24, 47, 59, 435, 30, 8, 1767, 215, 31, 7, 37, 1648, 13, 4708, 20334, 2788, 15, 18, 25565, 5, 3, 8739, 160, 119, 166, 23436, 6, 37, 1648, 13, 4708, 20334, 2788, 15, 18, 25565, 4969, 5, 204, 405, 3480, 192, 6542, 24, 130, 470, 1883, 30, 136, 2306, 3, 18, 96, 517, 15822, 8979, 8718, 10855, 366, 148 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 31, 60, 350, 782, 1686, 84, 47, 470, 2904, 1883, 6, 11, 96, 22674, 8, 23797, 13, 499, 6219, 1686, 84, 47, 347, 30, 8, 96, 196, 31, 51, 350, 15822, 493, 3, 9, 6993, 11874, 7204, 121, 712, 24, 47, 5059, 53, 16, 8, 1270, 44, 8, 97, 5, 8799, 6437, 432, 6542, 10431, 57, 4708, 20334, 2788, 15, 18, 25565, 3578, 213, 7972, 5, 96, 196, 17, 31, 7, 499, 5994, 121, 536, 3, 18, 220, 10, 3710, 96, 3845, 31, 7, 3, 9, 18268, 1804, 1140, 156, 148, 8366, 1212, 121, 755, 3, 18, 204, 10, 2577, 96, 3845, 63, 5258, 9992, 121, 591, 3, 18, 27078, 519, 96, 134, 2444, 12, 3, 9, 3319, 6106, 40, 121, 591, 41, 683, 106, 23, 17949, 61, 3, 18, 220, 10, 2884, 96, 188, 7812, 121, 948, 41, 448, 23, 9781, 19586, 7, 61, 3, 18, 305, 10, 3076, 96, 7286, 63, 121, 948, 3, 18, 209, 10, 2668, 96, 3845, 3306, 26, 901, 782, 16, 4463, 121, 536, 3, 18, 314, 10, 4853, 96, 18300, 29, 63, 493, 4506, 121, 357, 3, 18, 209, 10, 3647, 96, 1649, 63, 29, 986, 630, 121, 784, 188, 584, 4624, 2060, 13637, 908, 591, 41, 9402, 10569, 138, 61, 3, 18, 204, 10, 3390, 96, 517, 15822, 8979, 8718, 10855, 366, 148, 31, 60, 350, 782, 121, 927, 3, 18, 209, 10, 3647, 96, 382, 1748, 7552, 7, 16, 5664, 121, 755, 3, 18, 220, 10, 4201, 96, 634, 1184, 1162, 15, 40, 121, 591, 3, 18, 204, 10, 4201, 96, 27773, 8497, 121, 948, 3, 18, 204, 10, 5553, 96, 22674, 8, 23797, 13, 499, 6219, 121, 940, 3, 18, 204, 10, 3710, 96, 434, 63, 1050, 21295, 7454, 397, 121, 591, 41, 279, 35, 1191, 1109, 12188, 324, 87, 9402, 10569, 138, 61, 3, 18, 220, 10, 3707, 96, 1326, 40, 287, 15, 6, 5242, 262, 12549, 17, 15, 121, 357, 3, 18, 27078, 948, 96, 427, 10070, 13, 24462, 121, 536, 3, 18, 204, 10, 1755, 96, 279, 9, 346, 16, 5412, 7, 121, 536, 3, 18, 204, 10, 4201, 96, 188, 29, 11219, 7, 121, 536, 3, 18, 204, 10, 2445, 96, 4327, 3137, 16, 100, 947, 4463, 121, 87, 121, 13843, 31, 17, 2571, 1212, 16354, 121, 927, 3, 18, 220, 10, 5176, 96, 5110, 2482, 4967, 121, 755, 41, 9402, 10569, 138, 61, 3, 18, 27078, 536, 96, 382, 31, 15, 7, 330, 73, 4538, 121, 13308, 12282, 94, 31, 7, 2900, 21, 148, 12, 1263, 8512, 591, 3, 18, 204, 10, 3436, 96, 634, 17700, 7, 13, 16397, 4500, 121, 591, 3, 18, 209, 10, 3166, 96, 634, 5126, 121, 948, 41, 427, 26, 1443, 348, 61, 3, 18, 220, 10, 1828, 209, 3, 18, 1029, 94, 31, 7, 499, 5994, 55, 204, 3, 18, 1029, 1404, 3, 9, 11705, 220, 3, 18, 1029, 5258, 10707, 10792, 11, 10792, 314, 3, 18, 1029, 3655, 3, 184, 23705, 3, 184, 25870, 2242, 305, 3, 18, 1029, 27, 31, 51, 350, 15822, 493, 3, 9, 6993, 11874, 7204 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 431, 3, 18, 1029, 802, 18497, 10872, 489, 3, 18, 597, 28843, 30, 2306, 117, 272, 18, 1583, 13, 712, 96, 196, 31, 51, 350, 15822, 493, 3, 9, 6993, 11874, 7204, 121, 505, 3, 18, 3, 22769, 73, 21019, 26, 17881, 7, 4708, 20334, 2788, 15, 18, 25565, 14234, 16135, 7, 2546, 57, 932, 29, 986, 24421, 17961, 4016, 8046, 14234, 4480, 11010, 11547, 23436, 14234, 1, 37, 7112, 2482, 16492, 42, 7112, 2482, 205, 1257, 19, 3, 9, 740, 16, 23888, 896, 6, 16, 7518, 23888, 6, 94, 19, 1069, 44, 8, 13350, 414, 13, 8, 3399, 3, 26, 31, 23823, 15, 7, 6, 16, 8, 5441, 2069, 15626, 7205, 15, 2893, 13, 8, 690, 5, 5528, 461, 3, 9, 353, 213, 132, 141, 3150, 118, 3, 9, 740, 3855, 38, 3, 9, 7112, 2482, 4996, 2229, 52, 2378, 68, 84, 2031, 629, 26, 3, 9, 2062, 57, 8, 564, 13, 1821, 51, 3796, 154, 7059, 35, 6, 8, 690, 1500, 12, 6774, 3, 9, 1907, 6601, 740, 5, 37, 408, 2259, 3759, 16, 957, 4305, 47, 751, 16, 957, 6348, 57, 11867, 11, 1838, 9259, 2406, 6, 3, 9, 2353, 11, 520, 372, 5, 37, 3602, 708, 12, 888, 139, 8, 3, 29, 15, 32, 18, 1047, 32, 835, 740, 16, 957, 4198, 68, 8, 2314, 3, 30634, 47, 16, 26923, 5, 461, 8, 851, 6, 756, 8, 16940, 6, 19, 3, 9, 9030, 2187, 9850, 53, 8, 3, 29050, 13, 8, 690, 13382, 12, 23888, 896, 16, 586, 3628, 5, 37, 740, 6523, 8, 2243, 13, 6923, 13, 8, 1611, 638, 138, 11, 6349, 3092, 6, 84, 47, 2127, 16, 23888, 16, 23744, 6, 552, 17185, 5, 94, 47, 261, 38, 8, 5669, 13, 452, 3507, 7, 13, 8, 1614, 552, 3, 9, 72, 3574, 5669, 228, 36, 435, 6, 7096, 7, 17, 119, 161, 47, 4468, 44, 8, 8850, 2964, 76, 3478, 6, 16, 8, 16492, 1061, 5, 4582, 6503, 11, 460, 2658, 6, 788, 12, 9076, 3, 16068, 57, 8, 2847, 7765, 308, 4481, 2131, 221, 3113, 6, 8, 7112, 2482, 16492, 1632, 8, 1338, 286, 13, 8, 9572, 13, 374, 2562, 725, 5, 31918, 11, 3, 60, 8751, 53, 86, 3581, 6, 3452, 9823, 11, 8916, 161, 47, 4006, 91, 30, 8, 7112, 2482, 16, 455, 12, 3343, 34, 139, 3, 9, 8346, 11, 4473, 2050, 5, 37, 161, 47, 2012, 16, 1186, 2722, 1260, 59, 163, 15220, 7, 12, 8, 15940, 24364, 11, 8, 4452, 7975, 68, 92, 12, 8, 25974, 6, 84, 54, 230, 629, 4473, 7, 6, 11, 8, 1798, 13871, 6, 230, 8, 8486, 1501, 6, 213, 662, 2801, 607, 3, 9, 126, 2542, 2050, 5, 94, 808, 30, 8, 564, 7112, 2482, 18, 254, 1257, 227, 46, 12487, 740, 30, 8, 353, 13, 8, 1798, 16548, 154, 205, 1257, 47, 2895, 12, 8, 7112, 2482, 57, 598, 13, 3, 9, 4716, 147, 8, 2770, 15, 5945, 343, 60, 16, 455, 12, 4405, 8, 7112, 2482, 31, 7, 2465, 5, 17881, 7, 5450, 7, 11, 5278, 16, 23888, 896, 1386, 32 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 835, 6342, 23, 2165, 4648, 1611, 638, 138, 11, 6349, 3092, 3141, 3950, 2012, 16, 957, 4198, 14706, 13, 23888, 11347, 11441, 16, 23888, 1, 100, 19, 3, 9, 570, 13, 14538, 2797, 11, 151, 113, 43, 5233, 7, 16, 8, 5224, 40, 88, 17, 6022, 13, 19039, 11, 8, 1386, 1639, 3460, 13, 8, 2557, 538, 13, 282, 7, 265, 5, 100, 570, 92, 963, 2390, 19039, 159, 6, 19039, 23, 5452, 6, 19039, 23, 4151, 7, 6, 11, 119, 529, 18, 15704, 20008, 159, 113, 43, 5233, 7, 16, 15993, 5224, 40, 88, 17, 5, 37, 151, 164, 92, 36, 801, 38, 5224, 40, 88, 17, 23, 5, 1983, 30177, 11, 1137, 20140, 7, 28508, 283, 1598, 17, 9, 12594, 6, 2705, 23, 152, 29717, 15, 26, 16, 8, 19039, 12774, 257, 1602, 901, 10309, 5429, 6, 6291, 15885, 10416, 26313, 57, 386, 12357, 7, 16, 3, 9, 3, 3738, 23, 1427, 10280, 26, 3211, 30, 314, 932, 14834, 5, 389, 76, 26, 900, 23, 8832, 152, 16332, 21148, 1208, 9, 6, 3819, 7177, 52, 29717, 15, 26, 16, 8, 19039, 12774, 257, 1602, 5267, 3643, 9669, 4331, 17, 63, 6, 1827, 20622, 6, 7634, 6, 1798, 1827, 2090, 13, 8, 5287, 19702, 277, 31, 11529, 11, 6005, 13, 37, 8496, 31136, 5, 23858, 7, 9, 1135, 970, 17, 17, 6, 7174, 13, 8, 3497, 17, 1836, 1665, 2426, 21520, 144, 2194, 485, 644, 6, 283, 1598, 17, 23, 2659, 2907, 23, 1144, 4792, 16, 8, 19039, 12774, 257, 1602, 2209, 4470, 272, 16775, 6, 4333, 14248, 11, 2829, 3102, 16, 8, 19039, 12774, 257, 1602, 8329, 138, 9, 16332, 21148, 1208, 9, 6, 1236, 29717, 15, 26, 16, 8, 20008, 23, 10509, 19954, 13, 8, 1386, 1639, 3460, 5531, 521, 15875, 6, 5139, 49, 11, 24694, 19401, 7, 2618, 1533, 9, 16453, 8019, 6, 2335, 2166, 20622, 11, 294, 13, 8, 20008, 23, 1612, 2426, 2770, 2370, 22928, 6, 3977, 16, 19729, 106, 2501, 10653, 20, 9174, 2050, 365, 3, 23862, 19825, 4616, 5, 13547, 77, 3515, 12402, 3515, 4826, 6, 1236, 29717, 15, 26, 16, 8, 20008, 23, 10509, 19954, 13, 8, 1386, 1639, 3460, 23518, 7, 76, 26, 2644, 22928, 6, 1035, 2472, 29717, 15, 26, 16, 8, 19039, 12774, 257, 1602, 180, 8489, 173, 4892, 6, 29717, 15, 26, 16, 8, 2557, 12315, 2426, 1923, 10293, 77, 23, 644, 6, 569, 10416, 11, 20622, 180, 10093, 9, 19669, 291, 5185, 76, 6, 2335, 2166, 20622, 11, 294, 13, 8, 20008, 23, 1612, 2426, 6226, 4143, 9, 12877, 3114, 205, 4067, 26, 10666, 63, 6, 2335, 2166, 20622, 11, 294, 13, 8, 20008, 23, 1612, 2426, 1261, 11, 408, 309, 107, 14446, 9, 1122, 107, 6, 1189, 2377, 11, 4346, 446, 138, 138, 28770, 6, 2753, 13, 8, 2548, 13, 3, 16768, 7, 19039, 6, 6444, 18, 102, 15704, 13, 8, 21260, 2125, 13, 3, 16768, 7, 1138, 23, 348, 2133, 9, 107, 6, 10900, 11, 7693, 4378, 6, 876, 80, 13, 8, 192, 23978, 18681, 757, 10579, 21, 8, 1673, 5550, 17793, 5, 1769, 11, 681 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 28508, 325, 17, 99, 6, 2390, 20814, 6408, 801, 21, 112, 4419, 96, 254, 450, 651, 11419, 1280, 71, 63, 76, 115, 5429, 3226, 6, 7174, 13, 8, 19669, 446, 138, 138, 6233, 16, 1524, 84, 1632, 3, 9, 7801, 21, 8, 2390, 6578, 573, 5, 2659, 354, 40, 32, 127, 9053, 11740, 283, 10059, 6, 268, 348, 11, 1798, 2753, 13, 8, 19039, 3431, 49, 277, 2125, 1270, 5, 695, 265, 5429, 6, 7174, 13, 8, 2390, 26335, 6580, 6, 25727, 1769, 8336, 11, 27, 106, 1424, 1699, 172, 109, 4498, 152, 71, 4143, 3, 23405, 9306, 3, 104, 7174, 13, 8, 296, 31, 7, 2015, 529, 18, 18984, 5102, 6, 272, 22034, 4452, 63, 4099, 6285, 76, 26, 10666, 63, 283, 10059, 3, 104, 1769, 348, 6, 573, 20622, 11, 11636, 13, 16504, 11, 10805, 29022, 7, 7676, 262, 4497, 2063, 5, 27, 1824, 3849, 22928, 411, 10059, 3, 104, 26696, 11, 4071, 13, 3319, 3920, 1531, 5, 86, 3581, 6, 3, 88, 1632, 8, 2030, 2390, 19039, 23, 12, 1451, 30, 8, 1771, 5324, 10825, 6792, 41, 19279, 44, 381, 11696, 13883, 216, 65, 3, 9, 3134, 1494, 13, 26433, 770, 5, 2549, 312, 32, 27461, 6, 2198, 2913, 343, 11, 13404, 13, 8, 325, 157, 7, 107, 51, 23, 5319, 7, 9, 26, 3545, 8555, 15, 15, 7566, 26, 1162, 446, 138, 173, 6, 7174, 13, 9916, 180, 6, 2527, 13, 10131, 9134, 2040, 1531, 11, 1424, 915, 49, 5, 1534, 51, 202, 205, 4067, 26, 10666, 63, 3, 104, 1769, 348, 6, 11, 7174, 11, 576, 18, 25982, 13, 1524, 16418, 5, 86, 1412, 6, 8, 349, 47, 5539, 3, 9, 5286, 31, 7, 3677, 21, 8526, 21, 1331, 6550, 16, 5786, 13, 165, 993, 16, 1085, 5, 4159, 1169, 51, 22928, 3, 18, 26696, 113, 1632, 8, 166, 19039, 23, 770, 2378, 44, 8, 1246, 13, 2208, 788, 12, 6558, 2420, 16, 8175, 6, 1111, 6, 3, 9, 3741, 13, 3661, 28, 8, 14022, 1823, 172, 563, 6, 9002, 11, 785, 606, 5, 22939, 23, 115, 5429, 3, 104, 9199, 343, 6, 11200, 2198, 18, 14925, 49, 6, 3472, 343, 6, 3, 18118, 152, 8514, 102, 343, 11, 2137, 49, 113, 65, 3, 9, 3134, 1494, 13, 26433, 770, 5, 19669, 28508, 20821, 23, 26, 2415, 60, 5605, 6, 166, 5224, 40, 88, 17, 23, 12, 539, 3, 9, 2062, 16, 8, 907, 6524, 451, 4941, 13674, 7, 9, 77, 3, 18, 3, 19145, 13, 2430, 3139, 7, 41, 15787, 61, 180, 10093, 22928, 3, 18, 25833, 17, 15, 30, 9938, 2669, 4390, 2486, 37, 31183, 180, 10093, 2415, 3515, 2520, 521, 107, 8821, 2046, 6, 7174, 13, 1290, 83, 2099, 115, 9, 7061, 1290, 1483, 11374, 71, 354, 348, 96, 3696, 635, 63, 121, 2133, 9, 107, 283, 10059, 3, 104, 26071, 485, 6380, 11, 20814, 6408, 5, 86, 9957, 6, 3, 88, 5710, 8, 2557, 8528, 13, 8, 2929, 15571, 5, 8586, 23, 2067, 7, 291, 412, 26, 2644, 283, 10059, 3, 104, 26696, 6, 20814, 6408, 6, 573, 2488, 11, 11636, 13, 8 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 19039, 18, 279, 13224, 7, 107, 9572, 13, 12949, 5, 2855, 11, 13554, 736, 77, 83, 1546, 835, 283, 10059, 6, 7177, 52, 44, 2540, 16331, 7, 6, 636, 13, 1524, 6, 4346, 17416, 77, 26, 9, 12402, 3515, 374, 208, 6, 5589, 13, 26597, 44, 8, 636, 13, 309, 15416, 9, 38, 7, 6500, 29, 920, 44, 8, 3, 26558, 13, 8, 19039, 12774, 257, 1602, 57, 8, 6697, 6788, 5, 480, 283, 2659, 3272, 83, 10172, 6, 12738, 13, 8, 2557, 2548, 13, 2159, 2209, 2009, 450, 1534, 51, 202, 491, 18, 329, 9, 107, 10309, 6, 3, 88, 4665, 9290, 283, 5, 71, 5, 9053, 11740, 6, 166, 8236, 18, 8694, 8725, 127, 13, 19039, 636, 13, 5623, 11, 3669, 1290, 1483, 11374, 486, 9, 83, 4556, 603, 6, 749, 208, 3481, 11, 5408, 8236, 3, 26767, 13, 8, 636, 13, 9777, 1920, 17, 11975, 4159, 1483, 2726, 4904, 5544, 27, 1824, 3849, 6, 3, 6941, 7, 447, 343, 6, 4346, 11, 6710, 343, 1823, 354, 51, 9, 205, 4067, 26, 10666, 63, 6, 7174, 13, 8, 4047, 11, 350, 3868, 6536, 3066, 16, 8, 636, 13, 309, 15416, 9, 6, 17013, 12, 2686, 4914, 52, 3141, 13, 19039, 10037, 83, 10172, 1823, 11740, 6, 1798, 2855, 3271, 13, 19039, 10037, 202, 8607, 291, 1699, 3524, 9, 10129, 440, 6, 819, 13, 2576, 18999, 3929, 16216, 6427, 44, 8, 3, 28257, 17190, 4457, 41, 308, 15416, 9, 61, 10683, 348, 9, 189, 16332, 21148, 1208, 9, 19575, 63, 9, 8653, 32, 26, 6, 5812, 44, 19502, 636, 2180, 6071, 3504, 159, 6, 2392, 2726, 1950, 2056, 5812, 44, 374, 5788, 1161, 17, 636, 22939, 23, 115, 5429, 6, 7174, 13, 22798, 636, 6, 446, 138, 138, 9, 5514, 22939, 23, 115, 18, 448, 9, 346, 63, 9, 3721, 1888, 11, 8, 636, 13, 3826, 5824, 18875, 17237, 2644, 22928, 205, 4067, 26, 10666, 63, 6, 3, 6941, 7, 447, 343, 11, 6444, 18, 8694, 8725, 127, 13, 19669, 1191, 40, 138, 636, 13, 2854, 11, 3669, 11, 5224, 40, 88, 17, 1331, 636, 1138, 7, 5979, 9, 12402, 3515, 16332, 21148, 1208, 63, 9, 6, 793, 556, 3, 6482, 343, 11, 2090, 13, 1491, 7, 15, 2548, 6, 29373, 3926, 89, 23, 22928, 6, 12177, 11, 3, 12290, 9010, 2618, 7, 76, 309, 14748, 20821, 440, 3439, 6, 3, 6941, 7, 447, 343, 11, 6040, 1144, 13, 8, 2557, 2548, 13, 3669, 12877, 6151, 3791, 3068, 26, 1665, 1290, 2618, 644, 6, 7174, 3218, 13, 3104, 3044, 17, 9, 868, 3721, 1888, 180, 10093, 1534, 20547, 6486, 10172, 6, 6800, 6, 4346, 6, 1798, 5812, 13, 309, 15416, 9, 636, 868, 5589, 7, 13, 19039, 28508, 1534, 8654, 6, 22965, 9, 26, 972, 41, 52, 17, 26, 5, 201, 7174, 13, 868, 6219, 2941, 374, 3877, 1290, 1483, 11374, 12611, 52, 9, 89, 6, 3145, 6, 2291, 6, 24694, 11340, 173, 450, 18100, 9, 6285, 76, 26, 10666, 63, 6, 6444, 18, 8694, 8725, 127, 13, 636, 13, 3826, 5824, 6, 17013, 12, 2686, 4914, 52, 3141, 13, 19039 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 12612, 138, 138, 4892, 6, 2705, 23, 152, 11, 4346, 19669, 521, 12877, 17, 202, 6, 3, 28626, 15, 3929, 23, 152, 11, 3, 122, 63, 29, 15, 75, 9290, 262, 12036, 343, 7, 891, 83, 1534, 138, 28508, 4159, 10536, 107, 6, 1798, 7679, 3271, 13, 19039, 272, 5, 272, 5, 16332, 21148, 1208, 9, 6, 5812, 11, 2578, 13, 8, 2548, 13, 9071, 17435, 16, 10619, 26276, 5186, 9, 14279, 26, 2644, 6, 489, 189, 10510, 13, 19039, 1925, 6, 7174, 13, 1932, 1244, 636, 1363, 10270, 309, 14748, 20264, 26, 107, 459, 6, 13605, 20163, 6, 2705, 11, 5812, 13, 8, 10619, 1121, 13, 17157, 1138, 99, 450, 20492, 348, 6, 14783, 3122, 7679, 3271, 13, 19039, 11, 3, 9, 2488, 13, 272, 9082, 19669, 71, 283, 180, 4320, 2160, 9, 6, 20163, 6, 23661, 11, 1798, 4297, 15852, 13, 8, 907, 9638, 31, 3, 3205, 16986, 451, 1744, 89, 17, 9, 21200, 107, 17, 20264, 26, 107, 459, 6, 314, 189, 10510, 13, 19039, 1925, 12694, 1980, 29, 152, 5186, 76, 835, 6, 7556, 6, 915, 49, 6, 825, 11, 5343, 52, 71, 89, 7, 2618, 12611, 9, 26, 6, 15676, 200, 801, 21, 8, 1075, 13, 10683, 51, 9, 5192, 173, 16, 8929, 16023, 5429, 19669, 138, 32, 51, 6, 27870, 11, 4390, 915, 49, 12611, 603, 6, 7556, 200, 801, 21, 8, 1075, 13, 20492, 603, 3862, 7, 1024, 107, 16, 391, 413, 3478, 3, 27915, 107, 3198, 3643, 9669, 6693, 17, 63, 6, 8516, 6794, 11, 7556, 216, 40, 138, 14420, 6, 814, 7556, 11, 8211, 27, 7, 521, 107, 891, 13629, 18, 448, 9, 107, 348, 6, 814, 2090, 6, 7556, 11, 1641, 12756, 12877, 1361, 6285, 76, 26, 10666, 63, 6, 8516, 6794, 11, 2377, 12877, 40, 173, 10150, 521, 107, 14420, 6, 814, 11, 1424, 7556, 1571, 7066, 9, 205, 4067, 26, 10666, 63, 6, 3, 9, 12587, 543, 288, 3, 19801, 16, 8, 907, 1323, 1823, 26, 23, 63, 9, 13674, 7, 9, 77, 6, 6710, 343, 6, 6380, 6, 2291, 11, 1424, 6794, 200, 801, 21, 3447, 8, 6506, 2259, 37, 1651, 2390, 15512, 4395, 2504, 2002, 7066, 4826, 6, 577, 210, 3535, 6, 2090, 11, 16072, 1144, 13, 16327, 9, 63, 7772, 725, 13016, 2618, 2922, 89, 23, 6, 814, 2090, 11, 1641, 12756, 2770, 107, 83, 736, 77, 6, 814, 2090, 5158, 348, 19669, 6, 814, 7556, 451, 89, 4288, 205, 4067, 26, 10666, 63, 6, 15676, 200, 801, 21, 8, 1075, 13, 2180, 24991, 5192, 173, 16, 8929, 16023, 7453, 7, 891, 9, 1824, 144, 23, 384, 6, 31251, 22660, 23, 384, 113, 141, 2662, 9427, 7, 16, 5224, 40, 88, 17, 1534, 83, 2099, 384, 13, 446, 155, 76, 2133, 9, 107, 6, 451, 19030, 122, 547, 6, 5224, 40, 88, 17, 1511, 22839, 440, 3439, 7, 13, 5224, 40, 88, 17, 6, 1823, 210, 14623, 11, 1593, 9, 9875, 32, 107, 13, 1386, 7, 3828, 9, 87, 517, 127, 1259, 291, 87, 329, 9, 19001, 26, 1665, 6, 5224, 40, 88, 17, 4826, 384, 6 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 9, 1798, 12346, 384, 13, 4266, 3441, 157, 2894, 9, 6, 17790, 23, 115, 9, 7061, 1823, 210, 14623, 13, 3, 7855, 17, 10813, 3968, 9, 6, 5710, 57, 1138, 29392, 8930, 3357, 27, 7, 89, 9, 2618, 23, 1138, 60, 1824, 9, 440, 6, 123, 7, 235, 8603, 7, 13, 19669, 446, 138, 138, 31, 7, 649, 122, 9, 107, 1561, 6, 5710, 57, 454, 17815, 6214, 7, 76, 89, 4904, 1109, 3439, 7, 13, 4540, 23, 547, 23, 6, 5710, 57, 19669, 446, 138, 138, 31, 7, 9663, 6, 19669, 5648, 603, 3, 9, 26, 18, 308, 77, 31931, 4588, 9, 89, 13674, 9, 77, 6, 209, 7, 17, 6005, 18, 77, 18, 20053, 13, 6697, 31, 7, 10043, 6, 1374, 11, 167, 5456, 608, 1566, 18, 24925, 8468, 6, 21903, 11, 1798, 9036, 3271, 13, 6697, 4498, 77, 9, 8822, 17, 9, 172, 6, 1798, 2785, 5502, 21, 8, 12394, 13, 1524, 4498, 7, 152, 19669, 52, 23, 291, 6, 9994, 312, 29, 77, 17980, 23, 6, 2991, 1144, 13, 8, 19039, 5716, 3559, 343, 7, 2125, 2403, 172, 3877, 13674, 7, 9, 77, 6, 1424, 915, 49, 6, 3, 18118, 152, 8514, 102, 343, 6, 20386, 3052, 10416, 6, 1207, 52, 5805, 11, 1798, 4071, 13, 3699, 12090, 5313, 2403, 172, 3877, 9, 4498, 152, 6, 4917, 6, 14953, 13, 8, 13706, 11, 4668, 13, 8, 2540, 348, 9185, 11329, 11, 4425, 106, 6611, 8735, 8735, 3677, 8930, 107, 6285, 76, 26, 10666, 63, 6, 6005, 13, 22297, 272, 13668, 23518, 603, 205, 4067, 26, 10666, 63, 6, 1424, 11, 2281, 9994, 21, 901, 2215, 776, 1498, 1566, 8627, 10614, 1546, 7, 7, 9, 77, 14420, 6, 6005, 13, 6697, 5324, 11, 8, 7345, 3529, 7038, 5, 180, 10093, 1290, 1483, 11374, 5429, 6, 7174, 13, 37, 8496, 2042, 3, 18, 8, 2015, 3, 30715, 1444, 1566, 18, 24925, 8468, 16, 19039, 5, 180, 10093, 22885, 9, 7, 6156, 1024, 6, 9994, 11, 6005, 13, 3049, 32, 8888, 11, 26335, 2330, 16118, 9629, 13674, 7, 9, 77, 6, 9994, 11, 6878, 49, 5, 978, 12481, 1371, 31, 7, 6698, 7771, 751, 46, 2760, 21, 8, 1150, 31, 7, 1648, 28789, 2350, 44, 8, 5825, 9089, 5061, 2350, 7, 6580, 5, 11281, 28508, 6698, 6111, 8781, 6, 6297, 11, 24694, 11595, 10199, 4823, 107, 521, 1824, 6285, 76, 26, 10666, 63, 6, 166, 10148, 44, 8, 2390, 1592, 2243, 13, 6923, 27, 1536, 15, 14420, 6, 17353, 7471, 2146, 13, 736, 29, 222, 63, 1331, 6, 2578, 18, 20857, 13, 8, 1331, 2958, 2402, 9139, 12877, 17, 202, 25969, 29, 2551, 6, 5191, 11, 166, 529, 18, 13698, 12, 36, 8160, 12, 8, 3712, 2402, 1386, 2125, 3201, 5, 86, 3581, 6, 255, 47, 7817, 38, 3, 9, 11392, 49, 13, 8, 15633, 6, 84, 263, 160, 8, 163, 568, 13, 19039, 23, 5233, 16, 3, 9, 2991, 3, 18810, 1102, 5, 13550, 11740, 5429, 6, 11223, 15019, 15, 891, 13629, 10898, 89, 6285, 76, 26, 10666, 63, 6, 4346, 71, 4143, 20264, 26, 10666, 63, 6, 19039 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 23, 18, 31971, 29, 6472, 343, 11, 2056, 4346, 14217, 63, 76, 17, 7435, 152, 6285, 76, 26, 10666, 63, 6, 4346, 11, 18637, 1533, 2047, 348, 26, 5429, 6, 166, 20008, 23, 10148, 3714, 343, 71, 4312, 23400, 12402, 26, 9, 6, 4333, 14248, 6, 569, 10416, 6, 4346, 11, 6005, 13, 8, 25969, 17, 1639, 282, 13039, 127, 5429, 6, 4346, 11, 18658, 13, 5224, 40, 88, 17, 23, 12702, 6678, 7153, 52, 9, 89, 13674, 7, 9, 77, 6, 11603, 6, 4346, 6, 18658, 13, 12702, 6678, 205, 4067, 26, 10666, 63, 350, 83, 265, 4823, 1047, 6, 4346, 11, 12501, 13, 20008, 23, 12702, 6678, 21, 8, 19330, 521, 4702, 309, 173, 2910, 14420, 6, 11603, 801, 38, 1263, 3114, 152, 302, 760, 480, 6690, 41, 345, 32, 15, 17, 13, 8, 3294, 151, 61, 309, 210, 23, 354, 35, 30405, 6, 793, 343, 11, 2056, 4346, 23858, 7, 9, 1135, 970, 17, 17, 6, 12702, 322, 343, 4498, 106, 13509, 9, 6, 3519, 7, 929, 40, 11, 4346, 13, 3, 31225, 3605, 31368, 5429, 332, 3198, 29, 9, 6, 11603, 6, 11117, 24662, 11, 20622, 27, 7, 1963, 901, 265, 6, 4575, 1259, 11603, 11, 20622, 4159, 89, 17, 23, 10037, 202, 655, 9, 12877, 17, 202, 6, 4346, 6, 2705, 6, 11, 14761, 152, 343, 24726, 1290, 354, 5171, 14420, 6, 529, 18, 18011, 4346, 200, 801, 21, 37, 10148, 910, 24726, 10037, 83, 1626, 835, 6, 2779, 20622, 6, 569, 10416, 11, 4346, 18875, 15, 1824, 5429, 6, 4346, 6, 11603, 11, 5191, 200, 801, 21, 8, 5648, 144, 18, 202, 18, 567, 15975, 474, 107, 23, 3926, 11740, 9, 20492, 348, 6, 2291, 11, 14859, 180, 10093, 4159, 354, 10309, 9, 5429, 6, 2291, 6, 9994, 6, 1111, 26160, 6, 2705, 23, 152, 6, 24662, 11, 3, 697, 76, 343, 5, 180, 10093, 8054, 17, 5246, 5429, 6, 4346, 11, 18637, 180, 10093, 23421, 3862, 7, 1024, 107, 6, 25518, 18, 24925, 4346, 180, 10093, 8279, 2618, 3, 9, 26, 18, 308, 77, 6, 9443, 25518, 18, 24925, 4346, 180, 10093, 19669, 27, 7, 12977, 6, 1702, 12, 36, 5224, 40, 88, 17, 31, 7, 166, 2291, 180, 10093, 30356, 6, 2832, 8, 166, 23416, 447, 25705, 16, 20008, 23, 16, 898, 189, 2646, 17190, 389, 2910, 83, 8822, 35, 6, 879, 5502, 4106, 53, 1003, 189, 28405, 651, 6022, 282, 6111, 412, 26, 2644, 6, 779, 879, 11, 20850, 12, 28819, 11, 27796, 4498, 152, 6664, 107, 107, 76, 26, 205, 4067, 26, 10666, 63, 6, 850, 189, 5116, 13, 6788, 10071, 13, 8, 19039, 6788, 27, 7, 1963, 5186, 76, 835, 205, 4067, 26, 10666, 63, 6, 9739, 18, 77, 18, 20053, 13, 8, 19039, 6788, 19330, 9, 8781, 283, 5, 71, 5, 350, 5, 411, 7, 348, 23, 6, 8531, 24934, 13, 8, 283, 1598, 17, 23, 2659, 2907, 23, 8555, 3007, 115, 5429, 14420, 6, 19039, 10662, 4091, 10407, 138, 11, 8, 5116, 13, 26187, 10071, 8555, 11557, 450, 20492, 348, 20821, 440, 3439, 6, 19039, 6788, 6397, 12581, 26 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 972, 6, 3, 14034, 8, 167, 2991, 11655, 20008, 23, 16, 8, 6697, 6788, 1290, 1483, 11374, 891, 13629, 22730, 6, 209, 7, 17, 5116, 13, 6788, 10071, 13, 8, 19039, 6788, 6, 9236, 879, 383, 8, 19039, 12774, 257, 1602, 24726, 350, 107, 83, 265, 332, 7396, 115, 6, 19039, 31, 7, 511, 5116, 13, 1761, 10071, 10037, 83, 3455, 1824, 6, 511, 7234, 5752, 13, 19039, 10662, 9027, 2776, 17237, 9, 13, 350, 1211, 6, 3, 13973, 581, 8, 16932, 383, 8, 1193, 10952, 13, 5224, 40, 88, 17, 180, 10093, 1290, 1483, 11374, 3969, 9, 83, 1626, 835, 6, 19039, 6788, 5502, 11, 3, 14165, 23, 3268, 180, 10093, 10571, 23, 17237, 2644, 3, 104, 925, 102, 9, 107, 8930, 52, 13, 23518, 7, 76, 26, 2644, 3188, 9860, 19669, 2963, 7064, 7, 11, 21893, 7, 18106, 106, 4478, 570, 13, 2984, 10, 17423, 9, 26, 107, 210, 9, 354, 17416, 986, 2618, 6, 460, 189, 3, 1765, 13, 8, 350, 1211, 6524, 5428, 152, 13016, 6, 4550, 83, 2998, 342, 6323, 13, 350, 1211, 71, 1635, 16738, 6, 2716, 879, 11, 710, 18, 19054, 6323, 13, 272, 17475, 9, 12654, 365, 17416, 986, 2618, 2215, 23, 9776, 13016, 6, 13062, 13, 272, 17475, 9, 12654, 41, 7, 670, 760, 29, 5224, 40, 88, 17, 61, 365, 16993, 2414, 6524, 350, 1211, 17416, 77, 26, 9, 6, 804, 3, 1765, 13, 8, 350, 1211, 6524, 6, 17025, 16, 8, 1193, 10952, 13, 5224, 40, 88, 17, 2963, 9, 13016, 6, 804, 6323, 13, 350, 1211, 925, 3304, 3439, 14420, 350, 10557, 23, 6, 166, 8036, 702, 52, 13, 8642, 547, 8567, 3439, 350, 10557, 23, 6, 511, 8036, 702, 52, 13, 8642, 547, 4159, 1824, 3587, 14420, 6, 8036, 702, 52, 13, 8642, 547, 16, 968, 2445, 13495, 3589, 11740, 14420, 6, 6323, 13, 8642, 547, 6, 8520, 2724, 26942, 7, 20821, 40, 159, 901, 265, 6, 211, 2905, 13, 8642, 547, 6, 8520, 2724, 26942, 7, 9422, 2910, 14420, 6, 445, 7396, 115, 13, 5224, 40, 88, 17, 227, 2776, 210, 3272, 14420, 8208, 14420, 6, 445, 7396, 115, 11, 1593, 9, 9875, 32, 107, 13, 5224, 40, 88, 17, 2474, 9, 702, 26, 13, 5224, 40, 88, 17, 6, 1386, 32, 18, 279, 107, 76, 63, 152, 26283, 5752, 17, 9, 77, 113, 3, 16718, 147, 1117, 5224, 40, 88, 17, 24726, 1051, 23, 6, 1140, 23, 3791, 3, 12549, 17, 13495, 210, 9, 1191, 6952, 348, 6, 1386, 32, 18, 279, 107, 76, 63, 152, 26283, 5752, 17, 9, 77, 113, 3, 16718, 147, 1013, 5224, 40, 88, 17, 283, 17309, 13266, 14420, 6, 283, 14439, 138, 3, 7, 986, 291, 13, 5224, 40, 88, 17, 6, 3, 13973, 581, 186, 1386, 32, 18, 279, 3464, 63, 152, 5752, 17, 13676, 4159, 4031, 2375, 14420, 6, 283, 14439, 138, 3, 7, 986, 291, 13, 5224, 40, 88, 17, 113, 133, 865, 582, 3325, 9, 107, 3439, 13, 20008, 8208, 1639, 2659, 8399, 450, 446, 138, 2256, 6, 283, 14439, 138, 3, 7, 986, 291, 13, 5224 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 40, 88, 17, 1923, 5595, 348, 5185, 291, 7, 23, 6, 283, 14439, 138, 576, 18, 7, 986, 291, 13, 5224, 40, 88, 17, 6, 3, 21096, 147, 7518, 1467, 13, 5224, 40, 88, 17, 2318, 17, 1329, 521, 107, 4804, 7275, 23, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 45, 898, 3449, 12, 898, 4122, 27, 7, 89, 232, 23, 63, 291, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 180, 10093, 31368, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 3049, 24726, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 16256, 6589, 9, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 5186, 8399, 14420, 6, 167, 168, 18, 5661, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 18875, 15, 1824, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 86, 9, 63, 15, 2520, 521, 107, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 11, 7174, 13, 86, 144, 2565, 354, 2922, 89, 23, 83, 521, 107, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 28770, 20821, 23, 26, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 28508, 521, 107, 4804, 7275, 23, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 11, 26942, 918, 49, 2715, 30540, 6, 314, 189, 30158, 11, 209, 7, 17, 12501, 13, 5224, 40, 88, 17, 45, 1003, 3940, 12, 1003, 2394, 17980, 291, 14420, 6, 336, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 3057, 11, 2595, 901, 9, 450, 20492, 348, 6, 7634, 11, 723, 3145, 736, 77, 9, 12877, 63, 63, 265, 6, 2595, 52, 11, 15030, 19891, 2106, 26, 155, 325, 40, 644, 6, 12702, 7634, 11, 13075, 9794, 21892, 17, 1138, 1024, 6, 577, 1549, 7634, 486, 23, 10923, 20492, 348, 8555, 23, 6, 16244, 6, 7634, 11, 3, 21101, 1263, 459, 6285, 76, 26, 10666, 63, 6, 723, 3145, 5740, 5561, 6110, 7, 9, 26, 16332, 21148, 1208, 9, 6, 12702, 7634, 23065, 4164, 22115, 52, 6, 7634, 6, 8211, 11, 3, 120, 2234, 343, 6324, 14888, 348, 970, 17, 17, 9, 6, 3, 120, 2234, 343, 11, 13075, 13, 12702, 11, 1435, 3, 26, 1024, 1963, 4425, 3304, 9, 23, 644, 6, 11702, 11, 12702, 16244, 11768, 7, 2618, 2551, 2963, 23, 6, 7634, 11, 15676, 7113, 9, 325, 173, 9, 6, 577, 1549, 7634, 1051, 1924, 15, 115, 205, 4067, 26, 10666, 63, 6, 7634, 11, 9994, 19669, 28508, 4556, 603, 6, 3519, 7, 929, 40, 11, 12702, 3, 21101, 3926, 6042, 5158, 1495, 6, 7634, 11, 6263, 106, 2552, 1959, 14565, 7, 1483, 9, 644, 6, 12702, 16244, 14565, 29275, 374, 208, 6, 577, 1549, 7634, 1923, 8781, 445, 232, 23, 6 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 577, 1549, 7634, 14984, 7, 11, 789, 19039, 891, 8655, 3926, 11740, 6, 1798, 5752, 20070, 21, 19039, 71, 210, 3690, 3815, 17690, 1329, 1626, 835, 6285, 76, 26, 10666, 63, 6, 12394, 13, 5224, 40, 88, 17, 3862, 291, 412, 26, 2644, 22928, 8329, 2002, 6, 1798, 12394, 13, 5224, 40, 88, 17, 205, 5, 283, 5, 3926, 89, 23, 3084, 23, 6, 1798, 19039, 23, 23661, 1626, 22824, 22928, 22839, 440, 588, 6, 13404, 13, 19039, 1624, 31260, 3467, 6, 22057, 4288, 1925, 2086, 13, 14102, 11, 7174, 13, 23229, 7, 5515, 12410, 9, 63, 202, 9053, 11740, 6285, 76, 26, 10666, 63, 6, 1798, 5873, 13, 8, 2215, 17, 23, 63, 9, 1051, 122, 7, 9, 26, 6, 8798, 7, 17, 1661, 13, 8, 4417, 2146, 11993, 802, 23, 9, 7, 5429, 6, 3, 14878, 53, 7471, 13, 8, 19039, 868, 3450, 283, 99, 17, 9, 412, 26, 2644, 205, 4067, 26, 10666, 63, 17355, 23, 6, 6444, 18, 102, 15704, 13, 19039, 868, 343, 3450, 18, 134, 202, 265, 2565, 354, 3926, 89, 23, 2436, 52, 20492, 348, 6, 71, 5884, 13, 19039, 11340, 9, 144, 18, 15, 18, 30791, 23, 180, 10093, 4159, 9, 5271, 15, 51, 5429, 6, 2959, 313, 5502, 6, 306, 24476, 11, 1415, 23661, 5116, 6923, 7, 446, 5, 391, 5, 4159, 26, 6500, 52, 13674, 9, 77, 6, 968, 189, 5116, 6923, 13, 19039, 8555, 11557, 83, 736, 77, 6285, 76, 26, 10666, 63, 6, 850, 189, 5116, 6923, 13, 19039, 3705, 12524, 23400, 8271, 1024, 6, 1401, 7, 17, 5116, 6923, 13, 19039, 180, 10093, 71, 5, 272, 5, 8555, 11557, 1546, 7, 7, 9, 77, 6, 204, 727, 5116, 6923, 13, 19039, 4593, 28508, 1626, 1050, 15, 51, 205, 4067, 26, 10666, 63, 6, 1932, 6697, 30661, 6098, 11, 868, 11993, 28508, 20821, 23, 26, 14420, 6, 1798, 5220, 21, 11006, 12588, 354, 4949, 28508, 5708, 77, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 4949, 28508, 9810, 603, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 11006, 12588, 354, 2292, 28508, 4159, 1824, 155, 14420, 6, 1798, 5220, 21, 5224, 40, 88, 17, 3486, 28508, 2215, 115, 1047, 6, 1798, 5220, 21, 8, 5248, 12124, 109, 5224, 40, 88, 17, 13056, 6439, 4392, 28508, 1593, 9, 9288, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 891, 13629, 2922, 15, 15, 7, 6, 1932, 6697, 30661, 6098, 11, 868, 11993, 891, 13629, 20492, 603, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 15392, 325, 159, 283, 26, 5, 4159, 4517, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 11006, 12588, 354, 3486, 15392, 4904, 9288, 6, 1798, 5220, 21, 11006, 12588, 354, 3486, 891, 83, 4498, 29, 144, 283, 26, 5, 28508, 13758, 6, 1798, 1144, 13, 8, 2215, 17, 23, 63, 9, 1051, 122, 7, 9, 26, 71, 23815, 1263, 76, 1836, 412, 26, 2644, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 736, 15, 35, 9, 10129, 440, 3926, 89, 23, 1824, 6, 2472, 11, 11340 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9, 144, 18, 15, 18, 30791, 23, 24694, 1386, 202, 15875, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 2292, 374, 3877, 1699, 4055, 16709, 23, 6, 1798, 2488, 13, 11006, 12588, 354, 2292, 309, 173, 3439, 1546, 7, 7, 9, 77, 679, 4941, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4278, 695, 9, 4115, 1626, 835, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 1699, 3524, 9, 205, 4067, 26, 10666, 63, 2180, 76, 6, 272, 9082, 24694, 16709, 23, 1290, 1483, 11374, 19669, 29, 7396, 172, 6, 5220, 21, 11006, 12588, 354, 2292, 12551, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 27, 7, 3357, 22928, 205, 4067, 26, 10666, 63, 6, 5220, 21, 11006, 12588, 354, 2292, 14988, 9, 4892, 122, 413, 17, 9, 6, 24694, 11, 2472, 12877, 40, 173, 450, 20492, 348, 205, 4067, 26, 10666, 63, 6, 5220, 21, 11006, 12588, 354, 2292, 14420, 26, 9, 2304, 28508, 1534, 8654, 6, 1798, 5220, 21, 5224, 40, 88, 17, 2292, 2318, 17, 9827, 20492, 348, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 8555, 11557, 6952, 3084, 9, 26, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 3486, 8555, 3007, 115, 5429, 6, 1798, 5220, 21, 11006, 12588, 354, 4278, 1534, 1824, 7, 32, 32, 26, 262, 115, 29, 15, 71, 702, 172, 15763, 9, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 3, 8257, 19669, 77, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 4949, 1290, 9, 5271, 15, 51, 1546, 7, 7, 9, 77, 6455, 152, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 2292, 1290, 1258, 115, 8781, 14420, 6, 5220, 21, 5224, 40, 88, 17, 4949, 1290, 107, 23, 5808, 20492, 348, 1534, 4953, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 4525, 1377, 9, 89, 9, 5429, 6, 1144, 13, 8, 19039, 22636, 295, 11993, 11, 1798, 10510, 13, 11006, 12588, 354, 1823, 354, 4115, 4498, 152, 4904, 88, 26, 6, 1798, 5220, 21, 11006, 12588, 354, 4949, 10571, 49, 20492, 348, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 3486, 11, 13404, 13, 8, 1138, 99, 450, 20492, 348, 2941, 445, 7396, 115, 5429, 891, 4883, 14420, 6, 2215, 17, 23, 63, 9, 3450, 24694, 11, 386, 18, 715, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 4949, 17562, 51, 8329, 2002, 6285, 76, 26, 10666, 63, 6, 1798, 5220, 23421, 1699, 172, 40, 450, 20492, 348, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 4278, 5158, 603, 412, 26, 2644, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 3926, 89, 23, 22928, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 3486, 19669, 71, 702, 1000, 52, 20492, 348, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 18981, 9, 89, 412, 26, 2644, 13495, 3198, 52, 76, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 451, 19030, 1923, 1191, 17, 2133, 9, 6, 1798, 5220, 21, 11006, 12588, 354 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2292, 30356, 1290, 1483, 11374, 1140, 3042, 22928, 6, 1144, 13, 2215, 17, 23, 63, 9, 1051, 122, 7, 9, 26, 11, 3150, 6444, 18, 102, 15704, 13, 309, 15416, 9, 636, 2808, 4375, 31, 3545, 180, 10093, 8555, 23, 6724, 4498, 152, 6, 1798, 5220, 21, 5224, 40, 88, 17, 10892, 180, 10093, 15666, 6724, 1546, 7, 7, 9, 77, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 180, 10093, 9, 180, 2256, 9, 1290, 107, 7, 77, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 3486, 4701, 107, 63, 9, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 3271, 7, 28508, 1626, 835, 6, 1798, 2216, 6863, 11, 18490, 7, 3271, 28508, 6362, 152, 6, 3271, 13, 9557, 891, 8655, 3084, 9, 26, 12611, 9, 26, 6, 1798, 11957, 3271, 13, 19039, 3, 12396, 28508, 8822, 35, 6, 3271, 13, 11957, 12078, 695, 9, 4115, 1626, 835, 1377, 9, 89, 9, 3926, 11740, 6, 1798, 3271, 13, 2730, 30132, 1318, 2002, 28770, 6, 3271, 13, 3, 12882, 9, 1788, 6203, 31, 30132, 11, 2035, 7, 15, 9, 7, 20512, 283, 1598, 107, 109, 3042, 20492, 348, 205, 4067, 26, 10666, 63, 6, 1798, 3, 21021, 4901, 12, 1661, 27, 9, 14312, 2644, 22928, 23518, 7, 760, 283, 5, 205, 4067, 26, 10666, 63, 6, 19039, 23, 23661, 11, 1798, 15852, 13, 8, 7849, 13, 11957, 12078, 3926, 6111, 412, 26, 2644, 6, 3271, 13, 13706, 6, 6944, 11, 15772, 5968, 3705, 152, 13272, 4892, 122, 413, 17, 9, 6, 1798, 3271, 13, 18025, 7, 180, 10093, 1290, 107, 7, 77, 5429, 6, 1798, 3271, 13, 2730, 30132, 2067, 210, 89, 23, 1824, 18, 15, 18, 10991, 9, 107, 23, 205, 4067, 26, 10666, 63, 6, 827, 17013, 12, 8, 5923, 3271, 13, 19039, 2922, 7420, 9, 480, 205, 4067, 26, 10666, 63, 6, 2329, 11, 3294, 1073, 17013, 12, 8, 2686, 4914, 52, 3141, 2237, 57, 377, 18965, 17237, 2644, 22928, 2390, 1547, 28508, 5708, 6856, 22839, 440, 3439, 6, 4333, 14248, 11, 1827, 2488, 801, 21, 3, 19513, 8, 1386, 1639, 3460, 16, 1547, 2106, 3180, 12402, 3515, 4826, 6, 2557, 1157, 343, 6, 80, 1025, 13, 8, 325, 40, 4011, 4826, 3, 17, 11879, 5771, 342, 445, 7396, 115, 5429, 13758, 588, 14420, 6, 668, 189, 445, 7396, 115, 13, 3230, 521, 6, 6323, 11, 2488, 13, 8, 14092, 10148, 3450, 180, 10093, 28508, 20821, 23, 26, 205, 5091, 6, 166, 4262, 6323, 13, 282, 7, 265, 6, 11200, 13, 8, 10687, 681, 6697, 28508, 1626, 6983, 6, 2855, 3271, 13, 282, 7, 265, 11, 865, 1932, 20008, 28508, 1546, 835, 6, 24694, 6, 6297, 11, 4333, 14248, 1290, 83, 2099, 891, 8655, 8930, 51, 6, 19764, 3271, 13, 1932, 20008, 28508, 12877, 109, 835, 22928, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 28508, 5708, 77, 20264, 26, 107, 1208, 6, 1144, 13, 8, 209, 7, 17, 868, 11993, 13, 6697, 11, 6697, 31, 7, 166, 3271, 13, 16943, 28508, 283, 14016, 1169, 51, 20264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 26, 10666, 63, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 71, 89, 10309, 5429, 6, 7174, 13, 432, 18, 22126, 3319, 904, 31, 7, 14828, 11, 6444, 18, 102, 15704, 13, 432, 18, 22126, 6550, 3545, 4442, 71, 354, 1982, 5429, 6, 1144, 13, 8, 314, 189, 868, 11993, 13, 6697, 4823, 12687, 23400, 644, 6, 1144, 13, 8, 209, 7, 17, 868, 11993, 13, 6697, 6653, 288, 9, 23400, 644, 6, 1144, 13, 8, 204, 727, 868, 11993, 13, 6697, 10129, 440, 5631, 9, 6959, 655, 9, 6285, 76, 26, 10666, 63, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 8555, 11557, 5429, 6, 14179, 19954, 2488, 6, 2315, 348, 1290, 1483, 11374, 10703, 9, 3357, 5429, 6, 3, 12290, 6, 3, 18118, 152, 8514, 102, 343, 11, 24694, 6887, 1024, 11740, 28770, 2474, 4624, 459, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 31368, 5429, 332, 3198, 29, 9, 6, 11603, 6, 11117, 24662, 11, 20622, 4159, 9, 19485, 51, 22928, 6285, 76, 26, 10666, 63, 6, 1144, 13, 8, 314, 189, 868, 11993, 13, 6697, 24726, 736, 77, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 8054, 17, 5246, 22023, 9, 6285, 76, 26, 107, 651, 6, 1144, 13, 8, 209, 7, 17, 868, 11993, 13, 6697, 1138, 99, 83, 901, 32, 51, 6, 1144, 13, 8, 1932, 20008, 17357, 7, 40, 1528, 11993, 1593, 265, 8863, 9710, 7, 152, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 1547, 28508, 9810, 603, 6285, 76, 26, 10666, 63, 6, 1798, 283, 4569, 13, 4556, 603, 2565, 354, 1013, 71, 5, 377, 5, 1263, 40, 265, 411, 7, 348, 23, 6, 2557, 868, 4442, 1144, 71, 1635, 12402, 26, 2215, 77, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 389, 2910, 13674, 7, 9, 77, 7263, 4031, 6, 432, 1547, 907, 10021, 7383, 24694, 282, 6111, 412, 26, 2644, 6, 1144, 13, 8, 1140, 23, 3791, 17357, 7, 40, 1528, 11993, 486, 9, 450, 20492, 348, 22839, 291, 115, 3464, 63, 9, 6, 432, 1547, 907, 10021, 7383, 24694, 12611, 9, 26, 4904, 348, 6, 1144, 13, 8, 1212, 122, 107, 22858, 17357, 7, 40, 1528, 11993, 71, 702, 172, 22928, 14420, 6, 1798, 283, 4569, 13, 4556, 603, 2565, 354, 1013, 2106, 1927, 63, 2148, 9, 4031, 6, 283, 4569, 13, 6455, 9, 1047, 23, 2695, 17, 17, 12524, 1823, 189, 22839, 440, 588, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 2043, 7446, 23400, 1838, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 309, 2910, 1258, 1823, 189, 644, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 1626, 702, 5158, 603, 412, 26, 2644, 11038, 3464, 63, 9, 6, 283, 4569, 13, 1626, 173, 1639, 232, 23, 20716, 77, 3515, 7333, 18075, 9, 7, 189, 9, 6, 2991, 2488, 13, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 16, 282, 7, 265, 5740, 23, 15039, 7066, 9794, 6, 16332, 9 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 6850, 63, 9, 3049, 144, 9, 3450, 24694, 8329, 138, 18965, 63, 9, 374, 63, 7333, 18075, 9, 7, 189, 9, 6, 1798, 283, 4569, 13, 4556, 603, 2565, 354, 1117, 4556, 29, 35, 1259, 16332, 21148, 291, 1924, 15, 6, 2557, 868, 4442, 1144, 4556, 4414, 4892, 9, 8271, 1024, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 16791, 2837, 9, 189, 283, 30157, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 9375, 15249, 1259, 1838, 6, 283, 4569, 13, 12465, 6604, 232, 23, 325, 4250, 1290, 2618, 1923, 8142, 9441, 26, 63, 9, 6, 2557, 868, 4442, 1144, 5428, 11823, 76, 26, 2618, 2262, 2910, 23, 6, 1798, 283, 4569, 13, 12465, 6604, 232, 23, 2863, 4729, 18, 30841, 8960, 15039, 7066, 644, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 1290, 77, 83, 1546, 835, 6285, 76, 26, 10666, 63, 6, 874, 18, 715, 283, 4569, 6, 192, 18, 715, 4417, 2146, 11993, 6978, 11, 3271, 13, 9199, 2958, 17029, 12402, 3515, 644, 6, 2557, 868, 4442, 1144, 2504, 3272, 15039, 7066, 7263, 4031, 6, 2557, 868, 4442, 1144, 2180, 23, 1982, 1923, 8142, 9441, 26, 63, 9, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 6324, 88, 7, 107, 63, 265, 6483, 9491, 6, 432, 1547, 907, 10021, 7383, 24694, 13509, 25221, 15875, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 4425, 9, 8832, 355, 22730, 23, 7664, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 9053, 11740, 9, 1626, 835, 6285, 76, 26, 10666, 63, 6, 1798, 3271, 13, 1015, 13, 2730, 30132, 3084, 115, 107, 76, 180, 53, 283, 30157, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 1051, 235, 7, 107, 1290, 2618, 374, 208, 6, 1798, 4566, 6323, 13, 8, 3141, 13, 1547, 11, 489, 18, 715, 8541, 13, 12876, 45, 10221, 4059, 6, 282, 7, 265, 11, 16993, 2414, 1013, 5, 8821, 63, 9, 115, 9300, 1290, 1825, 760, 1924, 15, 6, 1798, 3271, 13, 1015, 14565, 157, 88, 10170, 451, 157, 3272, 970, 17, 17, 9, 6, 1798, 283, 4569, 13, 12465, 6604, 232, 23, 925, 26, 26, 1495, 22928, 6, 283, 4569, 13, 4556, 603, 2565, 354, 1013, 3325, 32, 26, 107, 644, 6, 5220, 21, 4266, 159, 9, 1478, 3705, 12524, 23400, 374, 63, 6, 166, 3545, 9104, 6323, 21, 10078, 257, 11, 4266, 3441, 63, 144, 23, 3, 9655, 180, 8489, 1538, 9, 374, 208, 6, 1661, 13, 8, 432, 1547, 8555, 173, 9, 4442, 1923, 19271, 412, 26, 2644, 7263, 4031, 6, 432, 1547, 907, 10021, 7383, 24694, 9233, 1024, 5497, 9, 15875, 6, 15202, 269, 18, 3108, 18528, 17, 900, 7573, 1244, 389, 2910, 6285, 76, 26, 10666, 63, 6, 37, 2390, 1592, 14595, 21, 19039, 344, 4406, 11, 10986, 216, 19, 1083, 8, 2578, 13, 1331, 14932, 7, 44, 8, 11957, 3, 184, 21260, 2126, 5, 5085, 7, 152, 9, 10129, 440, 6, 166, 2018, 354, 15975, 12, 36, 8160, 38, 46, 5220, 21, 8 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2390, 20417, 531, 120, 10129, 440, 6, 4151, 24694, 12520, 7, 14420, 6, 2753, 13, 8, 907, 6524, 71, 210, 3690, 3815, 10001, 35, 8265, 15, 6, 1798, 27197, 348, 13, 8161, 1179, 2318, 17, 9827, 20492, 348, 6, 8, 166, 1461, 8160, 18176, 13, 10677, 5845, 7677, 11, 8, 166, 19039, 23, 2488, 13, 8, 6098, 5, 445, 17327, 19669, 6, 1798, 12394, 13, 5184, 537, 5, 37, 166, 3955, 18176, 16, 8, 907, 6524, 13, 19039, 23, 5233, 5, 10571, 603, 5429, 411, 10059, 6, 1798, 12394, 13, 5184, 537, 5, 216, 1632, 1270, 31, 7, 19147, 18176, 38, 168, 38, 8, 166, 19039, 23, 11, 166, 10148, 18176, 5, 22730, 77, 9, 14420, 6, 6098, 322, 21, 3926, 26, 2091, 11, 1798, 14716, 9104, 1144, 16, 10677, 5845, 7677, 20710, 152, 2551, 5429, 6, 166, 19039, 23, 12, 36, 8160, 38, 46, 5220, 21, 8, 2390, 20417, 18182, 11, 3428, 485, 10172, 28508, 325, 17, 99, 205, 4067, 26, 10666, 63, 17978, 1947, 23, 6, 11117, 24662, 11, 7174, 13, 8, 17978, 1947, 23, 2426, 28508, 8822, 77, 1318, 265, 1047, 23, 6, 1798, 2753, 13, 11340, 23, 144, 412, 109, 51, 9, 18, 15, 18, 30791, 19039, 3926, 19030, 18, 15, 18, 371, 83, 1047, 23, 28508, 5708, 77, 205, 4067, 26, 10666, 63, 6, 3, 9, 4761, 24662, 11, 1827, 20622, 15392, 216, 29, 9, 1138, 99, 83, 10172, 6, 837, 10662, 31, 7, 256, 265, 71, 354, 1982, 6664, 52, 32, 127, 6, 256, 265, 6, 1424, 915, 49, 11, 24694, 5429, 451, 52, 20008, 23, 6, 898, 189, 18, 14006, 1923, 89, 23, 15528, 13, 8, 3926, 17, 5310, 455, 486, 3272, 5429, 6, 374, 32, 3348, 23, 24662, 6, 2291, 11, 7174, 13, 8, 2504, 19271, 18, 15, 18, 30791, 1088, 1699, 4055, 412, 26, 2644, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 31368, 5429, 332, 3198, 29, 9, 6, 11117, 24662, 6, 11603, 11, 20622, 31368, 23124, 348, 26, 6, 3, 19271, 77, 3439, 11, 1923, 89, 23, 24662, 24726, 1533, 7, 8399, 6, 898, 189, 18, 14006, 25518, 18, 24925, 24662, 6887, 1024, 11740, 28770, 2474, 4624, 459, 6, 11117, 24662, 11, 20417, 6855, 445, 17815, 115, 5429, 6285, 76, 26, 10666, 63, 6, 7174, 13, 8, 5428, 77, 5393, 412, 14351, 8055, 1047, 23, 6, 8, 166, 954, 3515, 7, 9, 16, 8, 15993, 5224, 40, 88, 17, 1719, 10037, 412, 26, 2644, 1263, 107, 127, 102, 459, 6, 13404, 13, 493, 89, 9, 2436, 40, 5428, 1665, 7, 173, 13849, 19039, 10037, 83, 10172, 20373, 102, 459, 6, 4035, 12837, 23, 52, 11, 3145, 4249, 6146, 83, 1626, 835, 3129, 702, 52, 102, 459, 6, 1798, 2753, 13, 493, 89, 9, 2436, 40, 5428, 1665, 7, 173, 13849, 19039, 2067, 89, 9, 5271, 83, 1626, 835, 11006, 12581, 21391, 6, 1798, 6444, 18, 102, 15704, 13, 216, 89, 5246, 17, 18, 15, 18, 30791, 11, 11340, 23, 144, 412, 109, 51, 9, 18, 15, 18, 30791, 412, 9441, 26, 83, 1626, 1824, 6 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1798, 3, 157, 547, 23, 115, 13, 11835, 2520, 4159, 4031, 2375, 3969, 9, 412, 26, 2644, 6, 2753, 13, 11340, 23, 144, 412, 109, 51, 9, 18, 15, 18, 30791, 19039, 6226, 10666, 83, 1546, 835, 6, 2472, 11, 22770, 13, 8, 2415, 52, 31, 152, 19669, 446, 138, 138, 31, 7, 19424, 19669, 446, 138, 138, 6, 1923, 89, 23, 15528, 1968, 28, 16436, 10172, 12, 5224, 40, 88, 17, 350, 10557, 23, 4152, 2618, 76, 26, 2644, 6, 1702, 12, 36, 5224, 40, 88, 17, 31, 7, 166, 10148, 454, 17815, 24726, 6214, 7, 76, 89, 6, 166, 123, 7, 235, 8603, 13, 19669, 446, 138, 138, 31, 7, 649, 122, 9, 107, 7124, 12877, 2168, 6, 1968, 28, 16436, 10172, 12, 3862, 291, 3791, 71, 702, 172, 4004, 1273, 17, 23, 6, 9663, 13, 19669, 446, 138, 138, 14420, 26, 9, 446, 107, 1825, 51, 1825, 6, 9663, 13, 19669, 446, 138, 138, 19669, 2776, 9052, 6, 1968, 28, 16436, 10172, 12, 411, 7, 348, 23, 1823, 1478, 19669, 5648, 603, 3, 9, 26, 18, 308, 77, 445, 15918, 83, 23, 6, 1968, 28, 16436, 10172, 12, 4540, 23, 547, 23, 19669, 8329, 138, 2415, 1024, 89, 9, 6, 1480, 28599, 13, 19669, 446, 138, 138, 19669, 2148, 440, 6, 1968, 28, 16436, 10172, 12, 377, 35, 8019, 2565, 354, 19669, 12021, 9, 89, 9, 6, 1968, 28, 16436, 10172, 12, 1290, 83, 2099, 115, 9, 7061, 19669, 4734, 29, 6, 778, 28599, 11, 23213, 13, 19669, 446, 138, 138, 19669, 2770, 157, 29, 76, 26, 2644, 6, 1968, 28, 16436, 10172, 12, 13509, 29, 9, 1478, 19669, 925, 26, 26, 23, 1824, 6, 1968, 28, 16436, 10172, 12, 411, 7, 348, 3791, 19669, 2067, 14312, 2644, 6, 1968, 28, 16436, 10172, 12, 25187, 3791, 180, 10093, 4701, 2436, 115, 6, 1968, 28, 16436, 10172, 12, 1386, 109, 18276, 2502, 4821, 1024, 24726, 18100, 9, 3, 18, 4779, 8287, 12, 36, 8, 8555, 26, 23, 11, 3, 17, 9803, 89, 189, 256, 265, 6, 5908, 16, 3392, 7, 581, 8, 1932, 1547, 1958, 11, 2209, 4059, 23, 6524, 25983, 3643, 155, 6820, 9, 3, 18, 18528, 82, 7, 1225, 4488, 5965, 7664, 1980, 16942, 1665, 6, 1968, 28, 16436, 18528, 159, 51, 12, 1140, 23, 3791, 5716, 19039, 24661, 15392, 9373, 15, 26, 20492, 23, 6, 18096, 49, 891, 83, 4498, 152, 6, 18096, 49, 71, 5, 480, 5, 283, 5, 8555, 51, 32, 32, 26, 6, 18096, 49, 22928, 18875, 15, 2436, 52, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 901, 1825, 12232, 4288, 6, 19039, 22635, 88, 10170, 644, 6, 18096, 49, 21, 20008, 2863, 3710, 4481, 4165, 61, 262, 5514, 32, 17, 1546, 7, 7, 9, 77, 6, 18096, 49, 21, 19039, 695, 9, 4115, 1626, 835, 8206, 6, 19039, 4498, 23, 6724, 1546, 7, 7, 9, 77, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 7780, 276, 3216, 537, 6, 18096, 49, 1318, 17, 23, 9, 172, 1546, 7, 7, 9, 77, 6, 18096, 49, 10571, 23, 5155, 901, 265, 6 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 18096, 49, 21, 5224, 40, 88, 17, 6022, 10571, 440, 22928, 6, 18096, 49, 21, 19039, 1823, 172, 4115, 1546, 7, 7, 9, 77, 6, 19039, 18266, 63, 9, 309, 14748, 6, 18096, 49, 21, 20008, 11, 10096, 636, 20492, 5393, 7566, 26, 1162, 6, 18096, 49, 13509, 77, 5774, 107, 6, 18096, 49, 21, 19039, 18100, 9, 83, 1626, 835, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 10403, 15, 51, 901, 265, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 19669, 152, 450, 20492, 348, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 3926, 19906, 22928, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 9627, 3198, 11835, 7, 63, 9, 6, 18096, 49, 21, 19039, 10929, 27900, 172, 22928, 6, 1798, 3370, 49, 21, 19039, 5845, 1629, 6285, 76, 26, 10666, 63, 6, 2076, 1846, 49, 21, 1566, 3370, 1886, 26956, 896, 377, 5, 254, 5, 20993, 1626, 6983, 6, 1798, 3370, 49, 21, 26276, 152, 6508, 8555, 3007, 5808, 20492, 348, 1923, 8027, 6, 3370, 49, 11, 14268, 13, 71, 2375, 7893, 107, 3, 13383, 7271, 9, 1109, 22928, 205, 4067, 26, 10666, 63, 9810, 29, 9, 6, 3370, 49, 21, 2695, 17, 2408, 2444, 891, 9, 2618, 23, 2502, 28508, 5429, 4496, 32, 6, 192, 18, 715, 296, 10182, 4583, 18, 2689, 53, 6336, 12455, 6724, 13674, 7, 9, 77, 6, 19443, 22209, 1959, 21, 14599, 12461, 7, 9, 588, 7, 11, 8, 1651, 7190, 4734, 120, 51, 6174, 372, 15039, 23, 1626, 6983, 6, 3, 2951, 7, 2325, 6, 5539, 8, 377, 13162, 18604, 1331, 3226, 41, 518, 5166, 61, 2233, 16, 13200, 4425, 29, 9, 189, 6483, 9491, 6, 21982, 11, 4346, 200, 801, 21, 16533, 27016, 8, 7895, 57, 12679, 5, 2770, 1824, 7, 152, 9, 10129, 440, 3, 104, 2735, 3955, 3, 10432, 9378, 4159, 9, 63, 12806, 4583, 2689, 53, 6336, 11, 150, 1109, 920, 14268, 13, 8, 2390, 4159, 9, 63, 12806, 2271, 5, 1547, 276, 10694, 51, 644, 6, 18096, 49, 2566, 17, 11259, 6110, 7, 9, 26, 970, 17, 17, 9, 6, 1798, 2753, 13, 8, 3570, 5716, 2125, 6, 4556, 603, 2565, 354, 24525, 138, 2850, 736, 15, 1498, 12877, 17, 202, 41, 4895, 15, 26, 57, 1140, 354, 77, 588, 584, 12546, 16, 2571, 8, 6650, 22106, 61, 8945, 195, 41, 4895, 15, 26, 57, 10403, 22845, 5429, 16, 3862, 348, 61, 71, 63, 76, 115, 26276, 41, 4895, 15, 26, 57, 19669, 5534, 9, 172, 19806, 16, 2571, 8, 6650, 22106, 61, 1699, 5584, 40, 31, 7, 2039, 41, 4895, 15, 26, 57, 12776, 9, 549, 17327, 16, 15143, 3687, 3111, 61, 5186, 1598, 12877, 17, 202, 41, 4895, 15, 26, 57, 891, 10193, 15, 157, 16738, 16, 2571, 8, 6650, 22106, 61, 5186, 7196, 9, 26276, 41, 4895, 15, 26, 57, 5158, 51, 9, 1546, 835, 16, 2571, 8, 6650, 22106, 61, 2215, 9270, 15, 49, 3, 9465, 4901, 41, 4895, 15, 26, 57, 10403, 22845, 5429, 16, 15143, 3687, 3111, 61, 1534, 8654, 10129, 440, 6, 8, 711, 21326, 13, 8 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 10403, 89, 491, 18, 308, 77, 350, 10557, 23, 41, 196, 196, 61, 3, 23, 115, 29, 1534, 210, 1259, 26, 41, 117, 423, 564, 10, 10403, 89, 491, 18, 308, 77, 350, 10557, 23, 2466, 3, 23, 115, 29, 1534, 210, 1259, 26, 3, 23, 115, 29, 9155, 122, 23, 117, 3977, 850, 2079, 61, 47, 3, 9, 1027, 1468, 23, 26, 262, 5884, 13, 6698, 83, 6, 8, 23213, 13, 10037, 3, 9, 26, 18, 308, 77, 9155, 122, 23, 5, 216, 1632, 262, 5884, 13, 6698, 83, 16, 850, 2518, 227, 8, 1687, 13, 112, 2353, 2415, 17, 115, 3, 9, 26, 18, 308, 77, 1534, 210, 1259, 26, 5, 1138, 99, 141, 118, 3934, 38, 8, 22261, 365, 8, 1867, 13, 3, 15, 202, 2295, 3, 22, 8952, 26, 491, 18, 329, 9, 7, 1273, 6, 113, 1114, 12, 453, 8, 1231, 3356, 16, 4618, 13, 8, 1021, 3, 15, 5884, 117, 8, 1028, 23665, 520, 13, 1534, 210, 1259, 26, 6, 27, 11374, 3, 9, 26, 18, 308, 77, 9155, 122, 23, 2466, 6, 21761, 12, 15345, 1572, 32, 44, 8, 1614, 13, 10037, 3, 9, 26, 18, 308, 77, 5, 37, 7722, 6, 113, 47, 2794, 21, 46, 10553, 12, 3, 4515, 226, 6698, 83, 6, 24025, 15, 26, 8271, 5670, 16, 1600, 850, 2518, 11, 36, 2452, 5402, 6698, 83, 6, 84, 23970, 15, 26, 30, 1630, 1762, 850, 4450, 5, 621, 407, 11026, 491, 18, 329, 9, 7, 1273, 6, 3, 88, 474, 350, 1272, 9017, 7, 107, 15150, 77, 6, 80, 13, 112, 5803, 6, 38, 13062, 6, 3140, 1138, 99, 3, 76, 26, 18, 308, 77, 1327, 68, 8, 19680, 2233, 13, 3, 15, 5884, 5, 37, 7722, 92, 4464, 8, 3062, 13, 10037, 3, 9, 26, 18, 308, 77, 5, 486, 10037, 3, 9, 26, 18, 308, 77, 31, 7, 1687, 41, 15881, 850, 4581, 201, 350, 1272, 9017, 7, 107, 15150, 77, 877, 12, 10939, 9, 7, 1071, 7, 12, 240, 610, 13, 112, 520, 11, 7201, 2448, 13, 44, 9, 346, 122, 13, 15345, 1572, 32, 5, 1138, 99, 3, 76, 26, 18, 308, 77, 12967, 112, 11179, 545, 11, 13216, 112, 12315, 5, 37, 17243, 7, 13, 10939, 9, 7, 1071, 7, 6, 9220, 57, 350, 1272, 9017, 7, 107, 15150, 77, 31, 7, 3094, 579, 6, 1860, 1138, 99, 3, 76, 26, 18, 308, 77, 70, 690, 6, 68, 3, 88, 228, 59, 7770, 15, 437, 3, 88, 47, 3164, 16, 3, 60, 14867, 6698, 83, 5, 37, 3772, 1161, 189, 10939, 9, 7, 1071, 7, 47, 787, 12, 8930, 2644, 5, 8930, 2644, 808, 610, 13, 14918, 9, 1259, 18, 134, 1483, 41, 134, 63, 52, 23, 9, 61, 68, 1138, 99, 3, 76, 26, 18, 308, 77, 1114, 12, 240, 147, 15345, 1572, 32, 6, 78, 3, 88, 1622, 112, 4284, 27, 5271, 3, 9, 26, 18, 308, 77, 6664, 31, 76, 26, 44, 8, 819, 13, 46, 9102, 12, 2870, 8930, 2644, 10, 79, 1736, 16, 46, 616, 1084, 5845, 9, 718, 15031, 29 ]

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

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

[ 5845, 9, 41, 188, 7093, 447, 10, 3, 2, 3, 2, 61, 213, 1138, 99, 3, 76, 26, 18, 308, 77, 47, 17025, 5, 10511, 3, 88, 2657, 21, 430, 3392, 44, 8779, 491, 18, 134, 83, 17, 152, 41, 188, 7093, 447, 10, 3, 2, 3, 2, 61, 1084, 15345, 1572, 32, 6, 213, 3, 88, 47, 92, 17025, 117, 3, 88, 877, 223, 12, 6698, 83, 11, 1622, 28110, 7, 12, 8930, 2644, 1772, 112, 15454, 6, 84, 47, 4307, 5, 1138, 99, 3, 76, 26, 18, 308, 77, 3977, 45, 6244, 49, 1497, 32, 7, 159, 6, 11, 112, 4284, 27, 5271, 3, 9, 26, 18, 308, 77, 6664, 31, 76, 26, 22399, 376, 16, 850, 2079, 5, 17881, 7, 9149, 7, 850, 2079, 14319, 9155, 122, 23, 26, 3, 15, 5884, 7, 13, 6698, 83, 16932, 13, 8, 12461, 7, 9, 1395, 586, 189, 18, 14006, 14319, 45, 6244, 49, 1497, 32, 7, 159, 2929, 13, 3879, 7752, 586, 189, 18, 14006, 28397, 7, 16, 8, 4551, 1932, 21488, 52, 1497, 32, 7, 159, 14319, 16, 7457, 1, 15877, 16332, 9, 16658, 2786, 18565, 19, 3, 9, 307, 21455, 10130, 84, 3154, 16, 848, 32, 221, 3939, 16, 22503, 1823, 1259, 6, 1547, 5, 37, 10130, 19, 3, 9, 10645, 18, 1583, 17643, 10130, 6, 13126, 57, 16332, 9, 16658, 7, 9, 1478, 10939, 11, 3, 16827, 5339, 7, 6864, 940, 27880, 3, 17256, 7, 13, 1322, 5, 37, 711, 10130, 3305, 7, 16118, 26, 9750, 195, 23, 11, 71, 9782, 3304, 15414, 17, 9, 23, 6047, 84, 3, 16827, 5339, 8, 10357, 179, 3, 6347, 5, 37, 10130, 47, 8, 2241, 11495, 283, 5, 188, 1122, 2910, 152, 6, 1144, 13, 8, 14751, 7889, 13, 8, 848, 32, 221, 6439, 4392, 16, 8, 778, 10247, 7, 5, 17881, 7, 1610, 92, 5740, 53, 9, 2866, 152, 18565, 848, 32, 221, 3939, 18565, 7, 16, 22503, 1823, 1259, 1263, 115, 362, 10652, 102, 22858, 51, 16332, 9, 16658, 2473, 1, 1823, 2866, 152, 547, 3545, 41, 61, 19, 3, 9, 7021, 13, 16332, 76, 354, 3791, 19224, 9, 13, 2695, 17, 2408, 2444, 3570, 5, 961, 5984, 5690, 13, 1823, 2866, 152, 547, 3, 10, 11363, 6192, 9704, 41, 3390, 5, 1298, 2280, 4416, 61, 2, 10450, 1117, 10, 2744, 17, 1635, 9, 3545, 1932, 10, 1534, 4953, 524, 16250, 3234, 9, 702, 521, 1013, 10, 16332, 76, 354, 3791, 3545, 1244, 10, 925, 17, 1639, 1106, 9, 5617, 10971, 11, 8208, 7, 9, 7253, 3234, 29885, 107, 29659, 486, 8, 9957, 19039, 23087, 6, 1823, 2866, 152, 547, 3545, 141, 3, 9, 2074, 13, 12992, 22520, 5, 2855, 1823, 2866, 152, 547, 15125, 1888, 5, 1823, 2866, 152, 547, 41, 9939, 8492, 342, 61, 1592, 1121, 5, 1823, 2866, 152, 547, 5523, 5428, 12380, 9, 5, 1823, 2866, 152, 547, 41, 3541, 152, 3791, 61, 1592, 1121, 5, 3926, 17, 19220, 9, 17416, 17, 14542, 1121, 5, 1823, 2866, 152, 547, 17416, 17, 5, 14542, 1121, 5, 3736, 354, 28569, 521, 17416, 17, 5, 14542, 1121, 5 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 8208, 7061, 547, 1592, 1121, 5, 8208, 7061, 547, 17416, 17, 5, 14542, 496, 5, 1290, 1024, 15603, 127, 7777, 5, 14542, 1121, 1138, 107, 17, 19220, 9, 216, 1135, 2520, 10172, 5428, 12380, 9, 27885, 7, 11, 4860, 291, 7, 1823, 2866, 152, 547, 11, 8208, 7061, 547, 19, 8, 711, 9895, 16, 8, 7021, 5, 3926, 17, 19220, 9, 4860, 52, 7305, 7, 11, 13102, 1629, 7, 12402, 3791, 6, 309, 1024, 3920, 107, 173, 6, 13550, 76, 173, 17466, 9, 6, 3, 7, 3, 2047, 354, 28569, 521, 6, 567, 3736, 354, 28569, 521, 6, 1626, 102, 11219, 6, 3068, 3439, 3791, 5, 1244, 12402, 26, 3791, 3926, 17, 19220, 9, 5, 17881, 7, 3545, 7, 13, 16332, 76, 354, 3791, 19224, 9, 1, 6538, 12677, 77, 1491, 2, 75, 1629, 18, 279, 106, 23, 5007, 23, 2863, 4018, 104, 19479, 9120, 47, 3, 9, 16073, 2377, 5, 71, 244, 7003, 127, 13, 8, 17562, 6145, 2856, 20821, 3768, 15, 157, 6, 3, 88, 3, 15, 27467, 12, 8, 907, 1323, 13, 1371, 16, 24011, 5, 2106, 5984, 8840, 280, 4523, 23, 5007, 23, 31, 7, 2353, 6, 3, 9, 16073, 6234, 12884, 6, 47, 20, 16262, 12, 925, 115, 4476, 116, 4523, 23, 5007, 23, 47, 874, 5, 4523, 23, 5007, 23, 31, 7, 2039, 3260, 12, 1130, 28, 160, 502, 5, 37, 4616, 826, 8, 4263, 12197, 2546, 46, 1004, 21, 4523, 23, 5007, 23, 6, 112, 2039, 11, 112, 19665, 12, 7560, 550, 5, 438, 231, 8565, 79, 435, 3, 9, 194, 12, 14354, 6, 15315, 16, 957, 2658, 5, 4523, 23, 5007, 23, 7463, 44, 8, 4702, 13, 11456, 4218, 16, 1602, 13125, 6, 11, 9461, 16, 27332, 5, 216, 2546, 186, 10519, 7, 274, 8, 615, 6, 3, 20283, 26337, 13, 4229, 17, 6, 3, 25390, 1213, 44, 8, 868, 3312, 6, 1602, 13125, 5, 216, 47, 5539, 3, 9, 3574, 4757, 13, 22045, 2, 17, 9, 6, 8, 16073, 14119, 868, 3312, 13, 11456, 4218, 5, 1150, 1602, 2466, 621, 8, 615, 8238, 91, 6, 4523, 23, 5007, 23, 3311, 8, 16073, 13104, 5673, 5, 86, 957, 3288, 3, 88, 1279, 38, 3, 9, 6662, 12781, 6, 11, 45, 15830, 12, 24466, 808, 294, 16, 3485, 29563, 16, 1602, 13125, 6, 3325, 18, 26, 23, 20066, 2466, 365, 8, 22726, 29, 63, 51, 96, 188, 7812, 1280, 216, 47, 10195, 57, 8, 350, 222, 9521, 16, 1797, 24466, 11, 4840, 23790, 15, 26, 11, 1413, 3822, 920, 44, 8, 3, 25360, 22559, 23, 1639, 5714, 5, 37, 3772, 3, 88, 47, 1622, 12, 20821, 3768, 15, 157, 6145, 2856, 5, 3, 4868, 271, 3, 9, 1426, 13, 17562, 12341, 11, 1120, 9, 12013, 1124, 44, 8, 2856, 6, 4523, 23, 5007, 23, 2925, 2934, 53, 10519, 7, 91, 13, 2891, 3, 88, 228, 253, 12, 2454, 897, 11, 23085, 16, 112, 4999, 22040, 6, 11, 16, 2594, 13, 273, 26313, 5, 978, 8672, 24981, 10519, 7, 1285, 10, 37, 377, 3822, 41, 89, 32, 14016, 77, 61, 37, 3794, 235, 159, 15, 37 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 5245, 10341, 7, 7758, 10294, 440, 41, 13208, 801, 38, 8, 29926, 13, 5245, 10341, 7, 61, 37, 21085, 28, 9548, 37, 17814, 986, 37, 4488, 9249, 366, 2569, 28, 46, 1004, 6, 4523, 23, 5007, 23, 4382, 3, 9, 10519, 13, 386, 3, 15, 9, 3537, 7, 12, 8, 2856, 4298, 6, 113, 4307, 8, 462, 6, 19960, 8, 3, 15, 9, 3537, 7, 130, 3, 9, 2968, 6083, 5, 299, 8, 5245, 10341, 7, 7758, 10294, 440, 24, 3, 88, 2546, 29543, 26, 6, 859, 119, 378, 6, 8, 4333, 13, 14354, 6, 4284, 4500, 6, 11, 20020, 5, 886, 936, 3, 23604, 13, 8, 8926, 13, 8, 1807, 10751, 7, 130, 2829, 120, 2681, 441, 8, 10519, 5, 37, 5245, 10341, 7, 7758, 10294, 440, 47, 10932, 227, 8, 615, 11, 3, 9, 20532, 47, 990, 16, 20236, 57, 11469, 159, 2, 9, 210, 5500, 4164, 2, 63, 2, 4009, 6, 57, 455, 13, 8, 16073, 789, 11, 581, 4523, 23, 5007, 23, 31, 7, 9543, 5, 100, 20532, 41, 2338, 26241, 2416, 61, 3048, 30, 1831, 44, 8, 20821, 3768, 15, 157, 3312, 5, 486, 8, 337, 97, 6, 4523, 23, 5007, 23, 47, 8, 5752, 13, 1375, 584, 13, 27228, 40, 291, 172, 6, 11, 3, 9094, 251, 441, 8, 2856, 21, 3, 22878, 13, 8, 16073, 789, 18, 77, 18, 994, 699, 5, 2784, 47, 3, 7, 51, 13917, 1361, 16, 11, 91, 13, 8, 2856, 3860, 120, 5, 438, 8, 199, 13, 8, 16073, 1210, 6788, 6, 4523, 23, 5007, 23, 3, 28423, 16, 21930, 11, 6, 1066, 145, 8079, 15, 53, 8, 684, 6, 4258, 26, 112, 3485, 29563, 1087, 5, 216, 808, 294, 16, 8, 1602, 13125, 3234, 52, 4890, 11, 47, 541, 9534, 57, 8, 17562, 7, 5, 216, 2804, 190, 8, 2968, 5714, 49, 18, 858, 18, 2910, 15926, 44, 15763, 7, 8716, 6, 17969, 12896, 6, 11, 2031, 5440, 115, 32, 7, 1625, 6, 213, 3, 88, 47, 5486, 920, 57, 2390, 3859, 5, 1844, 18, 2910, 4523, 23, 5007, 23, 10166, 16, 1919, 213, 3, 88, 1736, 112, 2512, 480, 651, 7, 17, 63, 29, 9, 4523, 23, 5007, 23, 41, 8459, 7617, 295, 138, 201, 92, 46, 2377, 5, 328, 2925, 3, 12184, 53, 11, 3924, 6, 11, 92, 1597, 3472, 8723, 21, 502, 6, 859, 135, 3, 9, 28358, 20688, 21, 8, 5480, 5, 86, 24011, 8, 1158, 2301, 12, 12154, 6, 2312, 6, 11, 1632, 837, 5169, 16, 18969, 5, 10511, 79, 2301, 12, 332, 83, 7, 9, 6, 12157, 5, 20499, 6981, 7, 96, 8931, 1273, 14119, 22371, 7, 1686, 868, 1261, 3312, 16, 1602, 13125, 96, 8931, 1273, 9152, 7, 22371, 7, 1686, 868, 1261, 7557, 16, 1602, 13125, 896, 2501, 16, 16073, 925, 965, 23, 9, 6, 2106, 15, 40, 17869, 18, 279, 23, 138, 9, 96, 5420, 13506, 1575, 13, 16073, 9152, 7, 2125, 16, 1919, 1686, 16073, 12930, 63, 16, 1919, 96, 427, 7, 19882, 26566, 3037, 29, 9, 172, 6318, 15, 1227, 1261, 15, 1138, 2935, 1686, 13886, 3286, 23 ]

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

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

[ 9, 4292, 9, 26, 11658, 20, 40, 16620, 88, 106, 6, 7332, 1331, 1384, 6, 12154, 6, 6144, 19650, 109, 2037, 1015, 1925, 6, 19650, 109, 2037, 6, 6144, 96, 329, 1092, 35, 2552, 13, 14354, 1686, 6144, 636, 6, 25591, 6, 6144, 9470, 1261, 7557, 6, 12154, 6, 6144, 23996, 930, 347, 16, 452, 628, 37, 3794, 235, 159, 15, 6, 1015, 3312, 44, 20821, 3768, 15, 157, 41, 21878, 4427, 61, 37, 29926, 13, 5245, 10341, 7, 6, 1015, 3312, 44, 20821, 3768, 15, 157, 41, 60, 26471, 61, 37, 17814, 986, 6, 1015, 3312, 44, 20821, 3768, 15, 157, 41, 21878, 4427, 61, 472, 5, 11065, 309, 31, 188, 7, 7, 23, 2260, 6, 3312, 16, 7332, 41, 21770, 6, 13467, 61, 6206, 15254, 257, 6, 16073, 2345, 16, 7332, 41, 10309, 49, 11962, 109, 6, 13467, 61, 2702, 2780, 15, 12, 2146, 1571, 1169, 7, 20, 325, 89, 15, 63, 1954, 6, 25917, 1166, 1061, 6, 12154, 6, 6144, 41, 6042, 835, 6, 13467, 3, 18, 217, 26241, 11368, 61, 472, 5, 11065, 309, 31, 188, 7, 7, 23, 2260, 6, 3312, 16, 7332, 41, 21770, 6, 13467, 61, 37, 21085, 6, 16, 851, 13, 8, 4351, 31, 7, 4457, 6, 2318, 21746, 41, 89, 32, 14016, 77, 6, 13467, 61, 17190, 6120, 4737, 13, 3833, 127, 41, 29712, 6, 24466, 61, 4737, 13, 3833, 127, 2863, 3628, 61, 17881, 7, 26241, 2416, 1015, 3312, 44, 20821, 3768, 15, 157, 3, 18, 13686, 3238, 419, 26471, 13, 8, 5245, 10341, 7, 7758, 10294, 440, 5994, 3920, 53, 10, 2702, 2780, 15, 12, 2146, 1571, 1169, 7, 20, 325, 89, 15, 63, 1954, 957, 4018, 3879, 7, 7273, 14319, 16073, 3, 15, 12549, 17, 7, 12, 8, 907, 1323, 1210, 6788, 724, 20821, 3768, 15, 157, 6145, 2856, 20983, 4702, 13, 11456, 4218, 16, 1602, 13125, 10644, 460, 189, 18, 14006, 16073, 3, 12184, 127, 7, 1, 37, 868, 12826, 30, 6564, 3677, 19, 3, 9, 3579, 18, 1748, 1657, 21, 3, 9, 643, 13, 1341, 6120, 21, 4092, 768, 263, 30, 6, 42, 28, 6, 1040, 5, 1485, 5539, 16, 6260, 6, 34, 19, 8, 22261, 605, 12, 8, 4328, 3397, 13, 21969, 11, 8, 6763, 7, 4292, 1169, 7, 23, 3268, 5, 37, 2760, 19, 263, 923, 7419, 120, 6, 3578, 383, 8, 203, 6260, 12, 2766, 6, 11, 4407, 12, 16931, 116, 34, 47, 263, 10943, 5, 37, 2760, 11, 165, 975, 287, 155, 288, 4473, 33, 6523, 57, 8, 16182, 17, 106, 20936, 7676, 7557, 6, 1069, 16, 16182, 17, 106, 6, 2051, 5, 86, 2628, 6, 8, 792, 6441, 2201, 13, 8, 868, 12826, 30, 6564, 2760, 47, 1494, 71, 3229, 591, 5898, 11, 141, 386, 3379, 10, 37, 1079, 22433, 159, 4292, 1169, 7, 23, 3268, 3677, 6, 12695, 44, 71, 3229, 536, 5898, 117, 37, 16182, 17, 106, 20936, 7676, 4804, 60, 31713, 3563, 6120, 6, 12695, 44, 95, 12, 71, 3229, 13922, 117, 11, 37, 9779, 13, 8, 16182, 17, 106, 20936, 7676, 7557, 31713, 3563, 6120, 6, 12695, 44, 95 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 12, 71, 3229, 29573, 5, 18125, 7, 41, 16547, 127, 2760, 163, 61, 6260, 3, 18, 14702, 1546, 26, 2897, 5247, 3, 18, 13560, 6100, 4070, 2766, 3, 18, 9771, 14698, 7048, 4407, 3, 18, 3, 15, 4, 20, 3, 15789, 23, 3888, 3, 18, 11712, 2158, 15, 17, 4406, 3, 18, 1838, 5053, 3581, 3, 18, 3121, 15, 189, 1051, 10348, 2628, 3, 18, 2744, 23, 15, 5049, 322, 2735, 3, 18, 4117, 312, 3321, 1412, 3, 18, 1022, 7, 7, 5891, 17881, 7, 26241, 2416, 16182, 17, 106, 20936, 7676, 7557, 475, 16182, 17, 106, 20936, 7676, 7557, 3, 18, 2628, 19374, 4652, 3677, 5220, 12912, 3, 18, 19374, 4652, 10180, 22371, 7, 3746, 768, 6120, 16182, 17, 106, 20936, 6580, 2127, 16, 6260, 6260, 8752, 7, 16, 2051, 1, 480, 29, 291, 7, 5437, 6, 20160, 480, 29, 355, 7, 5437, 6, 19, 3, 9, 3309, 11, 1798, 3095, 14961, 6, 230, 16, 8, 14961, 13, 480, 29, 355, 7, 5437, 28, 17839, 107, 18819, 6, 16, 1117, 5937, 15, 7721, 6, 2789, 81, 3457, 13, 901, 4411, 5, 37, 3309, 1217, 165, 564, 45, 8, 480, 29, 291, 52, 10846, 10, 480, 29, 291, 52, 598, 3, 31, 13534, 5402, 2480, 31, 5, 86, 25684, 8, 14961, 141, 3, 9, 2074, 13, 2059, 8797, 5528, 37, 388, 127, 13, 480, 29, 291, 7, 5437, 47, 1213, 16, 16493, 648, 57, 8, 7320, 77, 7223, 384, 6, 11, 16, 1179, 2368, 11560, 107, 20, 7320, 77, 7223, 47, 3, 60, 5317, 13, 480, 29, 291, 7, 5437, 5, 94, 47, 865, 1213, 57, 8, 3556, 159, 384, 6, 113, 1916, 34, 16, 1003, 1458, 12, 1079, 7872, 739, 6, 3, 9, 21225, 11947, 5, 555, 13, 8, 7872, 739, 384, 1192, 901, 4411, 512, 2269, 5, 299, 16, 1003, 3951, 480, 29, 291, 7, 5437, 47, 1916, 12, 2549, 25568, 6, 3, 9, 18908, 6297, 5, 978, 520, 3576, 6, 21, 364, 12, 112, 684, 6, 47, 990, 1386, 106, 25568, 13, 480, 29, 291, 7, 5437, 5, 37, 384, 92, 4157, 4163, 144, 760, 3009, 10099, 6, 11, 1546, 26, 122, 739, 3028, 480, 29, 291, 7, 5437, 2501, 38, 578, 14833, 16, 3172, 3, 318, 3, 9, 26266, 31, 7, 286, 13, 8, 1003, 189, 2646, 230, 11, 21, 3, 9, 307, 97, 437, 3, 12519, 57, 8, 17766, 13, 8, 24989, 53, 9808, 233, 37, 2004, 4205, 43, 1513, 70, 6228, 655, 6, 8, 1460, 17, 3, 157, 173, 29, 7, 11, 8, 3, 1999, 210, 1840, 33, 2767, 5, 1960, 6, 983, 6, 8, 3372, 3950, 30, 420, 13, 3, 9, 306, 2288, 1106, 19314, 8, 3112, 11, 33, 7157, 1192, 5, 37, 3, 4115, 7325, 15, 26, 3196, 1727, 12, 43, 118, 3, 19435, 139, 46, 2749, 6358, 5, 29650, 480, 29, 291, 7, 5437, 19, 16, 8, 3, 28443, 6439, 4392, 13, 216, 226, 1483, 5, 461, 209, 1186, 23652, 8, 14961, 47, 31226, 15, 26, 12, 607, 480, 29, 355, 7, 5437, 28, 17839, 107, 18819, 5, 28789, 1471, 37, 2078, 19 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2425, 12, 472, 15028, 6, 11, 1546, 26, 122, 739, 1509, 34, 16, 3, 9, 13096, 1162, 1706, 6, 28, 3372, 12267, 81, 5, 94, 141, 118, 26935, 16, 8, 30552, 189, 2646, 6, 11, 625, 7808, 10156, 7, 130, 261, 16, 8, 740, 5, 86, 507, 4201, 6, 983, 6, 34, 47, 26935, 44, 3, 9, 583, 13, 3996, 5426, 11, 3, 9, 126, 5026, 10972, 47, 3, 49, 7633, 44, 48, 97, 5, 461, 8, 3414, 1481, 13, 8, 2078, 6, 12759, 8, 1997, 22233, 6, 19, 3, 9, 3372, 3, 19619, 28, 848, 7633, 507, 4201, 5, 6342, 5, 3576, 493, 210, 7, 760, 6, 419, 5317, 5, 4599, 13156, 11, 6187, 4117, 739, 6, 2345, 15811, 35, 7, 5, 695, 15599, 26, 507, 4613, 5, 20970, 651, 11, 9731, 524, 974, 29696, 5, 290, 19, 3, 9, 1399, 1232, 13, 7808, 3009, 7, 11, 80, 4006, 3, 9, 6765, 3, 14593, 6, 84, 1546, 26, 122, 739, 718, 3, 31, 26, 159, 122, 12614, 1329, 103, 6938, 15, 40, 31, 10, 432, 25, 113, 754, 175, 2356, 12, 608, 94, 56, 1137, 3, 9, 9024, 842, 12, 3, 27779, 10, 27, 26313, 47, 1286, 8, 4728, 6, 275, 57, 3, 9, 388, 27, 2124, 423, 168, 117, 499, 4109, 11, 4194, 84, 3, 88, 31, 26, 3, 14712, 6, 27, 6, 271, 25708, 6, 47, 36, 1313, 10093, 5, 27, 897, 3, 88, 56, 3, 22303, 36, 6, 466, 7245, 8, 14566, 270, 21, 140, 5, 94, 47, 8, 9241, 8873, 107, 13, 2715, 2659, 226, 449, 6, 113, 3977, 314, 1797, 1003, 4314, 5, 71, 388, 28, 4068, 3, 88, 141, 3, 9, 546, 291, 60, 40, 3, 18280, 646, 3, 9, 14566, 15, 26, 11972, 14658, 21, 376, 6, 68, 132, 47, 13045, 150, 16, 10952, 12, 3606, 8, 17316, 257, 5, 37, 7808, 3009, 19, 230, 4335, 5, 17881, 7, 26241, 2416, 3, 18464, 15787, 196, 41, 188, 29385, 10, 2307, 1671, 2628, 61, 7305, 7, 16, 1117, 5937, 15, 7721, 18263, 3095, 14961, 15, 7, 16, 1117, 5937, 15, 7721, 1, 6540, 760, 7820, 17, 106, 19, 3, 9, 3309, 16, 1117, 5937, 15, 7721, 6, 2789, 81, 4653, 3457, 4653, 13, 4574, 855, 189, 5, 71, 1798, 7282, 18, 12415, 230, 12069, 139, 4326, 3499, 6, 8, 625, 3309, 496, 92, 12069, 139, 3, 9, 629, 6, 46, 625, 4716, 6, 3, 9, 422, 2078, 6, 11, 3, 9, 381, 13, 12268, 7, 11, 9603, 9418, 8, 3309, 5, 37, 625, 2269, 6, 3, 14134, 898, 3916, 6, 341, 5024, 16, 3, 9, 2004, 1909, 8, 1442, 5, 37, 3309, 2269, 16, 6540, 760, 7820, 17, 106, 19, 3, 14134, 898, 3916, 11, 1330, 12, 43, 118, 2301, 132, 116, 8, 3309, 47, 2301, 5, 37, 926, 353, 19, 230, 2447, 40, 232, 5, 37, 2269, 5024, 3, 15062, 51, 306, 11, 47, 20454, 16, 507, 1828, 5, 1377, 13, 8, 1017, 81, 34, 65, 118, 2016, 26, 11, 15359, 28, 3124, 5, 5528, 3, 2092, 8, 7707, 1602, 6, 5811, 51, 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 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2893, 15, 26, 3, 9, 508, 2054, 16, 8, 9808, 13, 8, 538, 120, 6540, 760, 7820, 17, 106, 2501, 21, 80, 706, 6, 11, 865, 5539, 3, 9, 4505, 13, 3996, 3301, 4525, 7, 5783, 26, 5, 38, 6107, 21, 8, 1783, 612, 57, 112, 12673, 5, 621, 1839, 195, 32, 537, 16, 1003, 4448, 2809, 1815, 900, 17, 6, 3, 9, 9846, 155, 15, 2488, 6, 21, 3, 9, 307, 298, 8260, 27972, 16, 3, 9, 96, 7855, 222, 31, 7, 5838, 15, 121, 16, 46, 4548, 562, 13, 8, 2501, 5, 9099, 10632, 6992, 6, 3, 9, 248, 11947, 18, 12298, 565, 13, 21225, 44, 8, 1849, 13, 8, 627, 189, 2646, 6, 47, 3, 9, 4262, 13, 6540, 760, 7820, 17, 106, 11, 1192, 3, 9, 13243, 57, 8, 4033, 6, 68, 150, 8320, 13, 34, 3048, 5, 2216, 3920, 7, 37, 19558, 31, 7, 23142, 1343, 9016, 8, 3309, 705, 145, 12, 8, 5727, 5, 37, 1137, 1343, 19, 3, 9, 3385, 1373, 84, 3511, 44, 3625, 11118, 30, 10118, 5288, 31, 7, 3556, 6, 3457, 13, 2487, 9818, 6, 11, 4285, 7, 3457, 2239, 7, 640, 1117, 5937, 15, 7721, 12, 8, 4247, 13, 8, 2473, 332, 8578, 44, 5653, 5981, 18, 413, 106, 18, 382, 8578, 5, 19558, 7, 23142, 1343, 10677, 6, 6540, 760, 7820, 17, 106, 6, 92, 801, 38, 6, 42, 4381, 16, 4332, 2691, 38, 1592, 3465, 107, 2985, 5, 2671, 11858, 458, 7286, 5100, 30, 128, 6328, 8111, 38, 7293, 68, 230, 1702, 12, 36, 3048, 13, 12268, 5, 22, 180, 9320, 341, 3187, 38, 458, 3585, 13, 7293, 22, 5, 3230, 3187, 38, 458, 60, 7484, 7, 13, 46, 22085, 3, 6489, 7293, 5, 22, 100, 353, 65, 118, 3028, 38, 3, 9, 276, 400, 10677, 5, 37, 3410, 24, 48, 353, 19, 3, 9, 16493, 21, 17, 2420, 42, 20212, 19, 11860, 179, 5, 6540, 760, 7820, 17, 106, 2501, 19, 3, 9, 13027, 27, 2616, 740, 5, 290, 65, 118, 3, 9, 629, 30, 8, 353, 437, 8, 968, 189, 2646, 5, 37, 915, 629, 6, 84, 47, 1192, 16, 81, 898, 4433, 6, 12, 3, 9, 408, 57, 13188, 2715, 7080, 40, 17696, 65, 46, 4423, 386, 18, 7154, 63, 6, 2391, 18, 11119, 15, 26, 851, 545, 28, 6561, 302, 16628, 11, 7225, 22085, 2034, 3, 3138, 23, 4128, 5, 37, 4091, 6621, 128, 2283, 753, 379, 3, 9, 3, 15303, 1343, 7293, 84, 164, 3480, 28447, 7, 13, 4913, 21, 17, 2420, 7, 5, 37, 9603, 3480, 3, 9, 5575, 6073, 11, 3, 30559, 753, 5, 28789, 1471, 37, 2078, 19, 2425, 12, 472, 3156, 965, 5, 216, 19, 8, 15528, 3, 4822, 12, 38, 96, 26667, 71, 11097, 26, 23, 302, 121, 16, 80, 13, 8, 21815, 1905, 3196, 16, 8, 2078, 6, 3, 31, 188, 11097, 26, 23, 302, 31, 271, 8, 6271, 607, 13, 8, 564, 3, 31, 517, 699, 7, 31, 5, 17881, 7, 26241, 2416, 3, 18464, 15787, 196, 41, 188, 29385, 10, 2307, 1671, 2628, 61, 7305, 7 ]

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

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

[ 16, 1117, 5937, 15, 7721, 1, 4965, 29, 6029, 19, 3, 9, 3309, 16, 1117, 5937, 15, 7721, 6, 2789, 81, 3457, 13, 901, 29, 5981, 5, 29650, 4965, 29, 6029, 19, 16, 8, 3, 28443, 6439, 4392, 13, 5653, 5981, 18, 413, 106, 18, 382, 8578, 5, 17881, 7, 26241, 2416, 3, 18464, 15787, 196, 41, 188, 29385, 10, 2307, 1671, 2628, 61, 7305, 7, 16, 1117, 5937, 15, 7721, 1, 2133, 17237, 16420, 3198, 77, 23, 17416, 77, 3439, 9, 7066, 41, 7473, 23992, 61, 19, 46, 2557, 18, 7473, 4640, 7792, 6, 992, 7, 53, 30, 887, 31, 7, 4640, 11, 16, 1010, 17, 14277, 758, 16, 638, 17982, 235, 60, 6, 22503, 1823, 1259, 6, 1547, 5, 23023, 17416, 77, 3439, 9, 7066, 47, 2170, 16, 638, 17982, 235, 60, 6, 22503, 1823, 1259, 6, 1547, 5, 1347, 2353, 47, 3, 9, 6297, 6, 4333, 14248, 11, 24694, 992, 7, 53, 30, 3648, 13293, 5, 17416, 77, 3439, 9, 7066, 31, 7, 2039, 47, 3, 9, 2472, 16, 638, 17982, 235, 60, 5, 1347, 778, 1073, 47, 16, 638, 17982, 235, 60, 6, 1547, 11, 258, 255, 2301, 30, 12, 8, 491, 51, 9, 6928, 49, 13, 160, 2039, 6, 19089, 3721, 1888, 16, 23940, 12, 3442, 160, 1035, 1952, 5, 461, 6929, 13, 160, 1035, 2116, 16, 23940, 6, 255, 2301, 12, 368, 1060, 11, 258, 12, 28517, 6, 28834, 6, 1894, 5, 451, 865, 1632, 3, 9, 16344, 13, 3671, 1888, 13, 180, 19623, 7, 13, 1894, 16, 16433, 11, 3, 9, 7177, 52, 44, 8, 636, 13, 28834, 6, 1894, 5, 461, 160, 1205, 12, 1547, 16, 15465, 6, 2133, 17237, 16420, 3198, 77, 23, 3311, 8642, 4425, 1639, 52, 1273, 29, 9, 4457, 11, 708, 70, 22223, 15, 3929, 7, 11, 12109, 29, 15, 75, 1863, 3066, 5, 451, 47, 15205, 16, 8, 3239, 13, 4047, 7, 1166, 5, 86, 778, 8558, 255, 2301, 139, 3, 9, 126, 3064, 13, 160, 293, 4047, 7, 1166, 6, 1069, 16, 8, 5961, 294, 13, 638, 17982, 235, 60, 1260, 66, 887, 31, 7, 4640, 364, 365, 3, 9, 712, 2955, 5, 451, 4532, 3, 9, 7432, 16, 4689, 12, 2254, 21, 8, 1058, 13, 414, 32, 8180, 32, 7, 159, 11, 1341, 10461, 11, 1124, 5, 12892, 14258, 7, 9149, 10, 14067, 2578, 6, 4047, 7, 1166, 6, 638, 17982, 235, 60, 14067, 2578, 6, 3, 31606, 419, 27408, 3669, 1166, 638, 17982, 235, 60, 2578, 6, 1166, 21, 1915, 23, 16978, 2686, 638, 17982, 235, 60, 276, 208, 17, 3937, 2578, 6, 4047, 7, 1166, 11, 4457, 7, 7086, 7363, 6, 638, 17982, 235, 60, 1980, 6959, 75, 17, 5589, 6, 37, 22503, 1823, 1259, 707, 5, 283, 8727, 3721, 636, 2575, 1628, 11, 585, 86, 760, 155, 663, 13, 86, 1010, 17, 14277, 3559, 13, 3892, 419, 27408, 6852, 7566, 17, 173, 1707, 11, 2958, 10, 18989, 11, 8506, 3, 8241, 6, 276, 18405, 1231, 1058, 21, 16, 1010, 17, 14277, 19428, 7, 9149, 10, 2557, 3721, 2125, 638, 17982, 235, 60, 22223, 15 ]

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

[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3929, 7, 11, 12109, 29, 15, 75, 1863, 3467, 3, 18, 1661, 6, 4407, 18, 23948, 14828, 12109, 29, 15, 75, 4478, 11, 22223, 15, 3929, 7, 16874, 15, 3010, 13, 1547, 2557, 2125, 13, 6400, 17, 17382, 1915, 23, 16978, 3201, 18, 9868, 8256, 196, 1611, 3467, 13, 3892, 419, 20762, 11, 3, 17467, 651, 1863, 797, 3467, 13, 419, 27408, 6852, 8541, 6, 11664, 11929, 2086, 1038, 3559, 13, 22223, 15, 3929, 7, 11, 12109, 29, 15, 75, 1863, 6, 1790, 16, 368, 5725, 3, 19145, 1661, 638, 17982, 235, 60, 8618, 17481, 3467, 6580, 26208, 21, 8, 23499, 15, 13, 11243, 3677, 21, 8, 364, 16, 4047, 22, 7, 1685, 124, 3181, 9, 1982, 291, 2760, 21, 4047, 96, 188, 9781, 162, 297, 16, 3721, 2056, 121, 3, 31815, 10644, 2760, 21, 6556, 10970, 45, 1140, 23, 1592, 1121, 37, 5589, 21958, 454, 5, 890, 6293, 31, 7, 3720, 2381, 297, 955, 1016, 16, 2628, 17881, 7, 23992, 3879, 7, 5753, 151, 16344, 7, 13, 8, 3671, 1888, 13, 180, 19623, 7, 2557, 12177, 7, 2557, 3, 122, 63, 29, 9, 15, 75, 17382, 22503, 7004, 3721, 6659, 45, 22503, 1823, 1259, 2449, 45, 638, 17982, 235, 60, 2557, 887, 3, 122, 63, 29, 9, 15, 75, 17382, 460, 189, 18, 14006, 2557, 887, 7004, 460, 189, 18, 14006, 2557, 1035, 6659, 2557, 887, 12177, 7, 4047, 7004, 45, 22503, 1823, 1259, 460, 189, 18, 14006, 887, 13768, 460, 189, 18, 14006, 12177, 7, 1, 37, 16492, 1061, 41, 61, 19, 3, 9, 452, 4150, 2447, 16, 23888, 896, 6, 16, 7518, 23888, 5, 37, 13350, 3023, 24397, 7, 8, 3005, 26394, 146, 9027, 216, 29, 52, 23, 11, 6, 590, 28, 8, 10645, 7, 13, 8, 901, 172, 1954, 11, 276, 154, 2666, 7, 7, 15, 6, 2807, 3, 9, 20430, 24, 2450, 7, 8, 2069, 15626, 7205, 15, 2893, 45, 8, 880, 13, 8, 690, 5, 100, 1442, 3, 4667, 19, 5508, 15, 26, 139, 2450, 6795, 57, 8, 18836, 13789, 60, 63, 6, 8, 18836, 7983, 8770, 419, 10525, 6, 11, 8, 18836, 20, 50, 3625, 15, 18, 26288, 162, 5, 37, 616, 4947, 15, 26, 57, 175, 7540, 19, 3241, 3, 5, 37, 7518, 5463, 1375, 13, 8, 2447, 19, 718, 11664, 107, 7349, 1061, 41, 13212, 75, 4857, 5, 7349, 137, 37, 2447, 47, 990, 227, 8, 27462, 13, 8, 21, 9746, 365, 8, 507, 3708, 16494, 63, 13, 1524, 5, 37, 2447, 19, 8, 1128, 13, 8, 8850, 11884, 10314, 29, 63, 6, 16, 8, 7518, 5463, 1375, 6, 11, 8, 8850, 2964, 76, 3478, 6, 640, 8, 18836, 7983, 8770, 419, 10525, 5, 37, 8850, 11884, 10314, 29, 63, 47, 8, 3143, 13, 8, 2570, 11057, 29, 23, 15, 23888, 15, 32, 159, 15, 20, 332, 7603, 26, 99, 7316, 6, 8, 21, 15, 10806, 13, 391, 12733, 1531, 6, 11, 6523, 8, 2430, 6610, 11263, 21537, 16, 20236, 11, 20658, 5, 37, 8850, 2964, 76, 3478, 47, 8, 926, 3143, 13, 8, 1611, 2243, 13, 6923, 6, 11, 19, 230, 46 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 768, 7071, 5, 3, 2092, 8, 29634, 21, 8, 1449, 13, 8, 13104, 13789, 60, 63, 443, 2447, 6, 8, 3048, 13, 8, 21, 17, 47, 3, 24530, 5, 5570, 26, 8, 30700, 1624, 1063, 115, 17, 6, 8, 4550, 2408, 9533, 21, 9746, 54, 230, 36, 894, 131, 3414, 13, 18836, 13789, 60, 63, 5, 37, 30700, 242, 9746, 47, 5330, 1192, 16, 898, 4433, 6, 20845, 16, 507, 2469, 104, 11071, 11, 3, 7275, 15, 26, 344, 507, 3651, 11, 507, 4581, 5, 15213, 7977, 7, 1061, 7, 16, 23888, 896, 1, 4599, 2003, 509, 226, 1915, 52, 77, 41, 2596, 1660, 507, 3707, 2555, 1515, 28828, 61, 47, 46, 389, 4707, 1608, 25214, 16, 8, 1480, 957, 189, 11, 778, 460, 189, 11653, 5, 1915, 52, 77, 47, 2170, 44, 1244, 7165, 18, 106, 18, 382, 651, 51, 6, 27362, 5718, 6, 30, 850, 1660, 507, 3707, 11, 7226, 26, 44, 321, 2671, 31, 7, 1888, 1524, 11, 20699, 1888, 6, 10274, 5, 955, 26, 7043, 26, 16, 507, 2518, 6, 3, 88, 1553, 112, 8409, 28, 3, 9, 5495, 4710, 44, 472, 3790, 31, 7, 28165, 11, 47, 258, 5931, 1720, 13, 472, 12020, 31, 7, 16, 8, 337, 690, 274, 112, 3, 23580, 12, 8, 29664, 342, 38, 8, 16098, 13, 2390, 8183, 5, 216, 47, 975, 7549, 4094, 3, 9, 25214, 30, 997, 1332, 507, 4271, 6, 57, 8200, 1945, 2798, 739, 6, 9318, 11514, 10776, 13, 31868, 6, 44, 25804, 24632, 5, 216, 47, 865, 15459, 12, 36, 8, 16098, 13, 2003, 15, 7, 537, 5, 3, 2092, 48, 1059, 3, 88, 47, 92, 8, 3, 60, 5317, 13, 472, 5954, 3526, 7, 8045, 71, 4466, 1443, 2754, 106, 41, 88, 2697, 8, 5026, 10972, 552, 112, 1687, 137, 216, 3977, 30, 2307, 1515, 28828, 11, 19, 3, 14656, 16, 8, 2078, 6636, 13, 472, 1079, 18, 144, 18, 566, 4624, 11931, 2345, 6, 1524, 5, 978, 4806, 11664, 107, 47, 3, 9, 8304, 569, 5139, 49, 5, 1915, 52, 77, 73, 20321, 11, 2425, 8, 5845, 102, 11931, 1602, 9107, 16, 932, 957, 2884, 5, 216, 10611, 16, 1248, 27332, 6, 3, 60, 6732, 53, 112, 217, 16, 97, 21, 112, 22261, 31, 7, 975, 7549, 2661, 30, 8, 377, 11535, 13, 472, 2549, 41, 1828, 1718, 137, 216, 1632, 46, 9255, 16098, 13, 1524, 552, 112, 1687, 3, 318, 3, 88, 8743, 19346, 21913, 13, 5845, 102, 11931, 20, 152, 4203, 1019, 5, 17881, 7, 507, 3707, 3879, 7, 28828, 14319, 389, 4707, 1608, 25214, 7, 13, 2390, 8183, 16098, 7, 13, 2003, 15, 7, 537, 25456, 13, 20699, 1888, 6, 10274, 957, 189, 18, 14006, 389, 4707, 1608, 2345, 13, 1894, 25214, 7, 460, 189, 18, 14006, 2345, 13, 2789, 25214, 7, 4708, 12042, 7, 44, 472, 1079, 18, 144, 18, 566, 4624, 11931, 1443, 2754, 106, 7, 13, 8, 907, 2698, 14265, 13, 2789, 460, 189, 18, 14006, 389, 4707, 1608, 2345, 13, 1894, 25214, 7, 1, 7871, 2358, 11, 1126, 54, 1243, 10, 21211, 7871, 18, 8725, 9329, 7871, 18 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 8725, 3619, 7871, 18, 8725, 5592, 6, 3, 9, 6567, 18, 17470, 4891, 3317, 7871, 18, 8725, 30117, 7871, 2358, 9241, 729, 27036, 7871, 18, 8725, 20146, 27036, 2502, 7871, 18, 8725, 31250, 7871, 7845, 41, 287, 447, 201, 3, 9, 7967, 7871, 7845, 16095, 6, 661, 57, 27257, 3188, 49, 52, 32, 7871, 7845, 16095, 41, 23703, 201, 3, 9, 723, 2306, 9, 3322, 41, 17470, 61, 13, 80, 2358, 1, 11065, 8643, 26044, 41, 15776, 9, 507, 3390, 104, 19978, 5268, 47, 3, 9, 7222, 14131, 14268, 16, 8, 1932, 1793, 32, 324, 9, 63, 1719, 13, 2390, 8183, 5, 216, 92, 7747, 7222, 14131, 7, 30, 8, 1793, 32, 324, 9, 63, 2473, 16, 16751, 11, 30, 8, 180, 4414, 630, 2473, 16, 8282, 2390, 8183, 5, 17420, 8789, 16, 8, 21989, 5617, 4691, 5457, 84, 3154, 190, 8, 1932, 1793, 32, 324, 9, 63, 1719, 47, 4799, 5229, 12, 26044, 31, 7, 6794, 11, 1415, 5, 86, 811, 12, 271, 3, 9, 7222, 14131, 14268, 6, 26044, 47, 92, 3, 9, 10263, 127, 6, 872, 18, 3552, 3432, 4487, 11, 1539, 16, 8, 2734, 22435, 684, 13, 8, 8183, 2473, 5, 8840, 280, 26044, 141, 118, 2170, 16, 264, 60, 40, 6, 22649, 81, 507, 3390, 5, 216, 2301, 12, 28517, 16, 507, 4959, 6, 11, 258, 764, 4653, 464, 28, 3, 9, 4151, 5824, 18025, 3719, 53, 4627, 16, 8, 8183, 3460, 45, 18630, 14370, 12, 7100, 5, 20087, 9765, 391, 5, 1443, 348, 6, 3, 9, 9994, 6, 4472, 52, 6, 1974, 18, 8337, 6, 11, 3370, 3763, 6, 764, 12, 214, 26044, 168, 16, 13978, 383, 3, 9, 3432, 1469, 323, 8, 8183, 5, 1443, 348, 3028, 26044, 6, 11, 38, 96, 782, 13, 8, 167, 20675, 21369, 16, 8, 11200, 53, 892, 13, 2390, 8183, 121, 10, 22738, 13, 7222, 8789, 86, 507, 4613, 26044, 234, 849, 15624, 30, 8, 5727, 596, 13, 8183, 2154, 11, 15359, 11076, 6, 28, 8, 515, 13, 3014, 135, 12, 8, 2765, 740, 8, 205, 5554, 323, 5927, 49, 44, 7100, 5, 216, 1192, 192, 2667, 18, 30142, 15, 26, 12285, 6, 41, 9341, 96, 3697, 9063, 8512, 12, 1855, 112, 10550, 30, 8, 4033, 5, 26044, 1500, 3, 9, 7222, 14131, 133, 36, 3, 9, 207, 194, 12, 12, 210, 8, 25156, 226, 223, 95, 8103, 5, 216, 3, 9741, 12, 43, 7222, 7277, 10737, 4653, 45, 3, 9, 7222, 20395, 1192, 16, 507, 2445, 24, 7747, 44, 112, 234, 1511, 16, 22649, 5, 1447, 8, 7277, 4363, 6, 11, 3, 9, 14097, 228, 36, 1069, 6, 26044, 17583, 3, 9, 7222, 14131, 45, 1817, 7125, 8102, 1162, 515, 157, 7, 11, 14592, 7, 24, 130, 12267, 300, 44, 46, 625, 1509, 12415, 5, 37, 741, 47, 8, 970, 2951, 7, 6, 3759, 16, 507, 3840, 44, 7100, 5, 2759, 778, 9234, 2832, 24, 160, 3179, 47, 96, 5529, 9170, 20, 5045, 5230, 121, 11, 26044, 2448, 865, 4686, 24, 255, 47, 96, 9, 1134, 19058, 7222, 14131, 535, 5450, 8, 511, 970, 2951, 7, 970, 2951 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 7, 3, 7, 5979, 44, 709, 728, 6, 68, 26044, 47, 3725, 3, 179, 12, 3033, 160, 45, 8, 4033, 5, 216, 258, 2930, 8, 8617, 18, 6489, 7222, 49, 12, 143, 631, 540, 16, 507, 4225, 12, 43, 3, 9, 126, 3, 13072, 14074, 49, 1192, 6, 92, 718, 970, 2951, 7, 5, 26044, 10626, 8, 11774, 4383, 16422, 49, 10135, 18763, 6, 13, 7488, 6, 9580, 12, 918, 8, 126, 7222, 49, 6, 84, 2199, 422, 6, 47, 168, 18, 15281, 11, 2299, 114, 3, 9, 7222, 14131, 5, 26044, 92, 141, 1192, 3, 9, 511, 7222, 49, 6, 23816, 6, 84, 2199, 2755, 145, 8, 511, 970, 2951, 7, 6, 906, 163, 1296, 5075, 13, 387, 12, 661, 16, 5, 100, 47, 46, 2337, 16, 8, 557, 16906, 13818, 13, 8, 8183, 756, 7100, 6, 213, 38, 26044, 474, 34, 6, 96, 532, 4033, 31, 7, 2007, 47, 557, 182, 885, 12, 8, 4033, 31, 7, 420, 1280, 37, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 18565, 71, 9865, 1451, 13, 8, 21989, 5617, 4691, 5457, 19, 24, 192, 13, 8, 779, 16912, 24, 2537, 190, 34, 6, 8, 8183, 6, 15401, 3457, 6, 11, 8, 1793, 32, 324, 9, 63, 15401, 3414, 6, 33, 12494, 57, 163, 81, 3, 9, 7728, 13, 731, 8113, 107, 63, 30631, 44, 3, 9, 286, 230, 801, 38, 18565, 13109, 7, 5, 282, 8, 564, 18841, 6, 3, 9, 3365, 10130, 47, 1192, 640, 18565, 13109, 7, 57, 4599, 1980, 32, 40, 89, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 6, 3, 9, 1611, 4472, 52, 11, 2519, 52, 45, 18407, 11, 3, 23046, 2458, 5, 37, 10130, 47, 2012, 16, 507, 3914, 6, 68, 34, 47, 163, 261, 386, 648, 57, 7222, 14131, 7, 6, 334, 97, 365, 8, 4106, 13, 12202, 26044, 5, 86, 507, 4271, 6, 26044, 1192, 350, 210, 989, 32, 747, 44, 10001, 35, 31, 7, 2216, 53, 30, 8, 1793, 32, 324, 9, 63, 2473, 6, 11, 808, 8, 12662, 190, 8, 10130, 3457, 12, 8, 4383, 6636, 44, 7100, 12, 743, 160, 8213, 91, 5, 938, 48, 97, 34, 3475, 24, 8, 10130, 141, 118, 6780, 42, 3, 18687, 15, 26, 12, 8, 3432, 213, 44, 709, 128, 13, 8, 11811, 13, 350, 210, 989, 32, 747, 141, 12, 36, 10380, 57, 12473, 8, 12662, 13, 8, 387, 6, 14610, 1028, 348, 17, 697, 8, 3432, 6, 11, 12473, 160, 590, 30, 10866, 7, 5, 2035, 8, 2265, 6, 26044, 6, 34, 19, 2196, 6, 47, 3, 179, 12, 23990, 30, 8, 19429, 789, 12, 8116, 989, 2731, 12, 2096, 8, 10130, 5, 86, 1480, 932, 507, 4240, 26044, 3666, 8, 2012, 350, 210, 989, 32, 747, 223, 12, 8, 1793, 32, 324, 9, 63, 2473, 6, 48, 97, 11811, 53, 4929, 8, 3, 60, 30232, 920, 10130, 5, 37, 10130, 3, 7361, 3, 23273, 552, 957, 4305, 6, 116, 26044, 1940, 1117, 2042, 3457, 45, 8, 1793, 32, 324, 9, 63, 12, 8, 8183, 5, 37, 11811, 13, 1117, 2042 ]

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

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

[ 47, 163, 263, 487, 57, 8, 11203, 6, 57, 3, 24805, 1538, 15, 6, 13, 8, 6081, 44, 8, 10130, 5, 13280, 13997, 30, 8, 4548, 1793, 32, 324, 9, 63, 2473, 71, 5558, 13997, 590, 8, 4548, 1793, 32, 324, 9, 63, 4033, 16, 8, 778, 507, 2394, 7, 2237, 12, 3, 9, 2173, 21, 3365, 12, 1855, 3519, 277, 11, 4471, 139, 6, 11, 42, 15, 91, 13, 6, 8, 1719, 3825, 8, 4033, 5, 37, 1651, 5961, 18025, 44, 1022, 9416, 7, 6, 16751, 47, 8, 13012, 323, 5927, 49, 6579, 3313, 21, 4548, 1793, 32, 324, 9, 63, 3365, 5, 26044, 2301, 3414, 45, 8, 8183, 12, 8, 1793, 32, 324, 9, 63, 6, 11, 1192, 8, 422, 3, 13072, 14074, 49, 350, 210, 989, 32, 747, 44, 10001, 35, 31, 7, 2216, 53, 6, 81, 3457, 13, 8, 915, 573, 13, 2751, 9, 5, 3910, 13, 838, 8, 42, 15, 3414, 12, 8, 1022, 9416, 7, 6, 26044, 31, 7, 515, 47, 12, 888, 8, 42, 15, 3457, 640, 18565, 13109, 7, 11, 258, 323, 8, 8183, 12, 8, 205, 5554, 6579, 3313, 44, 7100, 5, 26044, 808, 350, 210, 989, 32, 747, 190, 8, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 18565, 16, 8, 1590, 13, 507, 4271, 41, 127, 3, 10671, 160, 640, 18565, 13109, 7, 201, 9695, 160, 91, 44, 7100, 6, 11, 3666, 190, 8, 10130, 16, 8, 2141, 13, 507, 4240, 5, 37, 8565, 13, 1735, 350, 210, 989, 32, 747, 190, 8, 18565, 12718, 26044, 24, 8, 163, 20218, 2981, 47, 3414, 12, 1022, 9416, 7, 5, 938, 778, 507, 4314, 6, 26044, 3311, 28, 11774, 2003, 265, 1954, 2473, 7222, 14131, 14268, 2549, 309, 5, 9429, 11, 1192, 15874, 41, 4350, 26, 227, 26044, 31, 7, 3062, 61, 44, 3, 14615, 969, 6, 16751, 5, 15874, 47, 8, 2015, 7222, 49, 780, 12, 4368, 30, 8, 4548, 1793, 32, 324, 9, 63, 2473, 5, 10511, 6, 26044, 11, 9429, 1968, 28, 15811, 687, 6, 11, 6, 116, 70, 9216, 6, 374, 345, 76, 63, 11, 6193, 8151, 8, 1817, 1161, 17, 444, 13, 578, 70, 126, 12662, 2770, 7, 14539, 41, 10124, 8760, 61, 3, 7, 6513, 227, 131, 1296, 1274, 13, 2986, 6, 8, 386, 1076, 130, 3, 179, 12, 19314, 8, 4033, 2117, 5, 1022, 9416, 7, 16078, 1447, 16, 8, 907, 1323, 6, 8, 1793, 32, 324, 9, 63, 4033, 6, 16, 165, 793, 538, 274, 8, 1449, 13, 8, 3, 14615, 969, 10939, 6, 2537, 15, 26, 190, 1022, 9416, 7, 16078, 12, 8, 7025, 13, 1022, 9416, 7, 6, 16751, 5, 1022, 9416, 7, 65, 966, 1551, 19803, 38, 3, 9, 1511, 6, 68, 34, 47, 1084, 3, 14615, 969, 6, 16751, 5, 18262, 1022, 9416, 7, 6, 8, 1793, 32, 324, 9, 63, 2473, 5658, 15, 26, 38, 34, 4037, 190, 1022, 9416, 7, 16078, 6, 84, 47, 3, 9, 1516, 3, 10557, 986, 12, 136, 4033, 8789, 5, 71, 1989, 5107, 6606, 47, 801, 38, 8, 1289, 17710, 5, 1022, 9416 ]

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

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

[ 7, 16078, 47, 3028, 57, 5589, 5225, 348, 38, 96, 9, 7706, 13, 387, 6, 6910, 53, 18, 13698, 6, 323, 6321, 966, 38, 30, 3, 9, 10856, 2955, 6, 3, 10942, 6281, 145, 7222, 14131, 1280, 465, 958, 3102, 133, 1431, 3, 9, 1291, 21, 7222, 14131, 7, 11, 15470, 11811, 53, 8, 1022, 9416, 7, 16078, 5, 26044, 728, 399, 7, 76, 15624, 46, 3102, 45, 1051, 5901, 12, 1099, 492, 3, 9, 5035, 30, 3331, 7, 5, 37, 3102, 1500, 12, 5443, 8, 2981, 21, 2448, 6, 11, 877, 30, 1476, 28, 26044, 38, 8, 14268, 31, 7, 3432, 2538, 190, 8, 24032, 5, 486, 8, 414, 13, 8, 1469, 6, 8, 3102, 31, 7, 5035, 21, 3, 9, 1291, 47, 80, 18, 19973, 13, 8, 701, 13, 8, 15470, 5, 8881, 26, 28, 48, 5035, 6, 26044, 1500, 12, 21, 839, 958, 5, 37, 1450, 9613, 12, 36, 263, 3776, 12, 18686, 8, 1020, 5, 3, 28257, 8, 192, 7222, 277, 228, 3807, 1514, 8630, 16, 8690, 8958, 7, 399, 239, 6, 3, 9, 418, 13, 540, 16, 507, 4327, 5, 938, 4993, 6, 8, 3, 13072, 14074, 49, 446, 5, 308, 5, 1699, 21290, 9323, 4327, 201, 583, 1514, 13922, 12, 918, 16, 507, 4327, 5, 86, 3, 324, 477, 13, 2986, 258, 6, 46, 1297, 7222, 14131, 228, 36, 1866, 21, 5, 26044, 11, 9429, 26684, 120, 1971, 12, 129, 8, 412, 5, 134, 5, 3141, 12, 4747, 19390, 13, 128, 13, 8, 12288, 11, 26359, 7, 16, 1022, 9416, 7, 16078, 5, 6404, 789, 199, 6, 79, 10626, 4627, 7, 1452, 12, 103, 8, 161, 147, 192, 2265, 7, 6, 68, 8, 772, 130, 59, 13, 231, 701, 5, 3, 4868, 8, 161, 30, 8, 4245, 6, 334, 7222, 14131, 26044, 664, 808, 190, 1022, 9416, 7, 16078, 47, 3725, 21146, 15, 26, 16, 8, 24032, 5, 37, 21146, 350, 210, 989, 32, 747, 11, 15874, 30, 932, 7973, 507, 4327, 6, 741, 15, 26, 16, 8, 11203, 13, 15874, 11, 8, 5067, 53, 13, 350, 210, 989, 32, 747, 6, 3, 29178, 28, 150, 8467, 119, 145, 5274, 981, 2102, 5, 366, 8, 126, 7222, 49, 1117, 2042, 47, 3759, 3, 9, 360, 1274, 865, 6, 26044, 47, 3, 179, 12, 143, 95, 21, 128, 13, 8, 8467, 28, 1401, 2012, 1751, 6846, 30, 8, 1793, 32, 324, 9, 63, 344, 4361, 6349, 15, 11, 1022, 9416, 7, 274, 731, 387, 5241, 376, 12, 6177, 95, 30, 1600, 6180, 507, 4327, 5, 15711, 12, 8, 180, 4414, 630, 2473, 86, 1762, 507, 3916, 6, 26044, 877, 3457, 12, 12821, 12, 3716, 16, 8, 26087, 727, 5208, 2540, 20710, 6, 28, 26044, 3, 12053, 12, 653, 112, 6209, 44, 492, 540, 38, 3, 9, 7222, 14131, 14268, 30, 8, 180, 4414, 630, 2473, 258, 271, 14742, 38, 8, 96, 6838, 18, 14050, 9, 8603, 121, 2981, 12, 8, 6214, 4470, 2473, 2045, 4120, 5, 461, 8, 180, 4414, 630, 2473, 6, 26044, 2098, 28, 8, 2581, 7222, 14131, 14268, 1079, 31102, 5, 10965, 28, 71 ]

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

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

[ 5, 371, 5, 25253, 6, 26044, 1192, 3, 9, 7222, 14131, 6, 17851, 21, 8, 2255, 7, 40, 77, 14630, 1958, 13, 7488, 6, 9580, 5, 282, 429, 36, 1644, 45, 3, 9, 12662, 876, 57, 26044, 6, 17851, 141, 1287, 16906, 387, 821, 5, 366, 8, 180, 4414, 630, 4033, 2981, 11612, 26, 38, 46, 13902, 592, 12, 8, 26087, 727, 5208, 16, 1718, 507, 3916, 6, 17851, 47, 1026, 365, 12, 210, 12, 472, 5, 2457, 6, 12821, 21, 313, 30, 8, 6214, 4470, 2473, 5, 9778, 12, 8, 8183, 2473, 1117, 2042, 47, 1916, 223, 12, 12202, 26044, 116, 3, 88, 3666, 45, 112, 26087, 727, 5208, 4472, 6, 11, 30, 1515, 6464, 957, 4305, 6, 3, 88, 808, 160, 3457, 12, 8, 8183, 2473, 30, 112, 2581, 3, 24805, 1538, 15, 18, 5385, 26, 11811, 13, 8, 20, 5045, 5230, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 10130, 5, 438, 1117, 2042, 2767, 6, 7222, 14131, 53, 30, 8, 4548, 1793, 32, 324, 9, 63, 3492, 21, 207, 5, 818, 26044, 141, 118, 5908, 16, 8, 1793, 32, 324, 9, 63, 11, 8, 26087, 727, 5208, 5558, 13997, 7, 6, 3, 9, 360, 9216, 141, 4283, 30, 8, 4548, 8183, 5, 86, 507, 3264, 6, 28925, 262, 5, 242, 1370, 41, 26, 5, 2294, 2445, 61, 3, 9, 18407, 4180, 8147, 49, 6, 268, 348, 6, 24694, 11, 14521, 7222, 14131, 14268, 6, 1940, 11471, 157, 12546, 57, 6579, 45, 14565, 7, 210, 9, 102, 2154, 12, 7100, 6, 213, 3, 88, 3759, 160, 68, 261, 160, 38, 3, 9, 18082, 11, 59, 6, 44, 709, 7513, 6, 38, 1328, 12662, 5, 1203, 6, 12202, 10135, 21581, 120, 2944, 8, 385, 596, 14074, 49, 1915, 17, 11, 7747, 160, 30, 8, 4033, 5, 86, 957, 4305, 26044, 1028, 348, 17, 1361, 970, 2951, 7, 5, 26044, 1192, 3, 9, 126, 7222, 49, 6, 276, 17, 6768, 12588, 6, 338, 8, 7277, 45, 970, 2951, 7, 84, 130, 57, 258, 130, 147, 1640, 203, 625, 5, 1387, 16, 8, 1651, 1602, 1404, 1076, 45, 2390, 8183, 2098, 16, 1150, 1602, 27, 84, 1553, 16, 24725, 5, 17420, 14131, 1076, 130, 150, 5763, 6, 237, 26044, 2199, 3, 88, 228, 1153, 43, 3, 8070, 234, 250, 13, 112, 1246, 5, 3910, 6, 26044, 3, 23313, 2390, 4033, 1855, 16, 8, 4551, 1932, 6, 30, 8, 2504, 109, 11, 2262, 3496, 7, 16912, 5, 37, 2262, 3496, 7, 16, 1090, 47, 16, 3, 9, 1256, 11, 614, 18, 13973, 8701, 13, 615, 5, 26044, 47, 59, 8, 163, 80, 13, 8, 422, 573, 13, 7222, 14131, 1076, 13, 7100, 12, 1716, 5, 26044, 31, 7, 29255, 6, 1079, 21581, 120, 9323, 3914, 104, 26937, 5268, 6, 8, 520, 13, 112, 1798, 18766, 6, 3, 35, 19279, 11, 877, 12, 1740, 6, 213, 3, 88, 1632, 80, 13, 163, 1296, 20983, 116, 112, 4383, 47, 12, 52, 3138, 32, 15, 26, 16, 8, 1566, 9916, 5, 3720, 13, 7222, 8789, 30, 8, 4548, 8183, 4033, 37, 1449, 13, 21666, 7 ]

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

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

[ 11, 8, 1456, 1028, 14836, 7, 2953, 57, 8, 615, 141, 103, 32, 2726, 7222, 14131, 7, 38, 3, 9, 1573, 13, 5127, 30, 8, 4548, 8183, 5, 438, 26044, 16, 4106, 6, 852, 155, 1258, 263, 8, 336, 7222, 14131, 661, 30, 8, 4548, 8183, 16, 932, 13978, 6, 9759, 3, 9, 1207, 397, 18, 22983, 9872, 18, 13739, 52, 12, 918, 3, 9, 4716, 44, 7834, 3523, 6, 84, 116, 743, 47, 396, 731, 12, 995, 3, 9, 7222, 14131, 12, 1903, 365, 34, 5, 2506, 203, 11, 9837, 26044, 435, 4311, 28, 8, 531, 7619, 106, 789, 30, 112, 1205, 45, 8, 615, 5, 216, 47, 5830, 7532, 16, 46, 3125, 16, 14448, 6, 9580, 11, 3977, 16, 46, 2833, 16, 11680, 6, 9580, 16, 1762, 957, 2773, 5, 978, 293, 280, 141, 3, 20326, 15, 26, 8, 1297, 892, 13, 7222, 8789, 16, 8, 21989, 5617, 4691, 5457, 45, 507, 3840, 12, 13978, 5, 389, 2749, 4033, 348, 113, 141, 801, 12202, 26044, 243, 13, 376, 10, 96, 15013, 26044, 273, 113, 228, 726, 130, 1644, 11, 273, 113, 2654, 31, 17, 130, 470, 646, 1187, 1280, 1610, 92, 11835, 40, 1896, 18, 517, 52, 32, 107, 348, 18565, 1117, 2042, 41, 13072, 14074, 49, 507, 4327, 61, 17420, 14131, 7, 13, 8, 4548, 8183, 11, 1793, 32, 324, 9, 63, 2473, 7, 2507, 7, 507, 3390, 3879, 7, 957, 2773, 14319, 4151, 30899, 17420, 2009, 14268, 7, 2449, 13, 8, 26087, 727, 5208, 2540, 20710, 1, 1821, 17, 27, 354, 1629, 41, 6, 92, 3, 7, 14528, 2474, 17, 27, 354, 1629, 3670, 19, 3, 9, 3309, 16, 8, 14807, 10510, 342, 16, 8, 2069, 1244, 1925, 28, 46, 616, 13, 3547, 755, 2688, 146, 13363, 7, 5, 3, 8691, 3241, 1296, 2286, 3457, 13, 14807, 6, 34, 141, 3, 9, 2074, 13, 431, 3916, 16, 12598, 10450, 1821, 17, 27, 354, 1629, 19, 1069, 3457, 18, 12425, 13, 14807, 6, 4947, 15, 26, 57, 901, 7802, 115, 12, 8, 5727, 11, 901, 7802, 115, 3, 6347, 12, 8, 3457, 6, 1821, 17, 970, 1824, 2436, 12, 8, 4653, 6, 11, 2106, 26, 1259, 12, 8, 3414, 5, 5528, 12881, 32, 348, 3, 1498, 1821, 17, 27, 354, 1629, 47, 3, 10975, 139, 8, 12881, 32, 348, 12187, 16, 627, 2517, 28, 66, 13, 23846, 6, 11, 16, 627, 4314, 34, 4283, 16, 8, 1104, 3691, 7, 38, 271, 16, 8, 3, 8607, 23, 63, 9, 13, 901, 18, 5991, 26, 7, 16, 8, 3, 40, 23, 210, 9, 13, 901, 18, 5991, 26, 7, 365, 8, 564, 13, 2474, 17, 27, 1629, 5, 94, 141, 3, 9, 2074, 13, 431, 5699, 117, 113, 130, 66, 16932, 5, 328, 1866, 3, 9, 3599, 3969, 9, 3493, 1104, 18, 2206, 13, 5400, 5, 5170, 30, 10687, 494, 6, 379, 13221, 6, 1207, 1306, 6, 1248, 15183, 6, 7994, 3124, 6, 18890, 7, 6, 2728, 3124, 6, 18174, 7, 11, 36, 15, 107, 8763, 6, 16, 811, 12, 14521, 14609, 117, 3, 9, 792, 13, 3, 22092, 3, 1639 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 8970, 15, 5, 86, 1003, 3747, 4117, 1908, 12105, 15, 2650, 34, 493, 1422, 49, 6, 2492, 34, 96, 106, 8, 9956, 12, 8, 5727, 13, 8, 10645, 1280, 86, 507, 3747, 6, 34, 47, 3028, 38, 3, 9, 10148, 3309, 6, 1069, 16, 8, 2798, 23, 1534, 8654, 616, 6, 4653, 13, 14807, 5, 86, 507, 4591, 8, 276, 9976, 31, 7, 11418, 13, 3782, 23846, 41, 17838, 345, 61, 3028, 1821, 17, 27, 19485, 38, 10, 96, 9, 3309, 13, 8107, 812, 30, 3, 9, 9956, 28, 3, 9, 2141, 44, 128, 2357, 12, 8, 4653, 535, 2390, 1140, 5522, 3, 1498, 86, 8, 957, 2884, 23087, 13, 23846, 4468, 57, 8, 2390, 1140, 5522, 5779, 6, 96, 279, 9, 155, 27, 19485, 121, 141, 3, 9, 2074, 13, 3, 3390, 16932, 6, 23155, 3300, 16, 8, 957, 3341, 23087, 12, 10630, 16932, 6, 16, 968, 4790, 5, 86, 8, 18315, 7475, 1821, 17, 27, 354, 1629, 141, 3, 9, 2074, 13, 2861, 16932, 6, 28, 3, 9, 792, 13, 3547, 17147, 146, 13363, 7, 13, 1322, 6, 1315, 12, 46, 2314, 1322, 11, 2074, 3719, 5, 1129, 48, 6, 9217, 7, 261, 3, 20889, 146, 13363, 7, 21, 1475, 1628, 11, 3, 16827, 122, 179, 1322, 6, 668, 2884, 21, 17360, 7, 6, 298, 505, 146, 13363, 7, 130, 1192, 18, 413, 41, 19413, 61, 1322, 5, 8480, 23, 152, 3, 1498, 86, 8, 7178, 13, 8, 21474, 9217, 104, 30387, 23, 1602, 6, 11, 227, 8, 24319, 5412, 3040, 15, 7139, 7, 6, 1821, 17, 27, 354, 1629, 764, 365, 8480, 23, 152, 3356, 5, 37, 8480, 23, 152, 23087, 13, 21018, 435, 3, 22174, 21155, 16, 1821, 17, 27, 354, 1629, 5, 1844, 18148, 1541, 8, 7643, 18, 16803, 1602, 16, 18148, 6, 1821, 17, 27, 354, 1629, 65, 118, 365, 9351, 13792, 5, 3526, 8, 7273, 29206, 2466, 3, 26599, 6, 4357, 6170, 13, 8, 792, 3309, 616, 47, 12910, 38, 5690, 272, 6, 11, 8, 4080, 3, 4271, 5, 5170, 12910, 38, 5690, 205, 6, 365, 423, 9351, 610, 5, 3352, 65, 28462, 920, 1322, 16, 1821, 17, 27, 354, 1629, 21, 7025, 7, 6, 379, 3156, 208, 31, 144, 4603, 31, 15, 208, 11, 3156, 208, 31, 106, 1626, 31, 8399, 3198, 9, 5, 86, 811, 6, 8, 13608, 1481, 4285, 7, 2400, 1821, 17, 27, 354, 1629, 1322, 6, 3140, 668, 2079, 146, 5525, 7, 6, 41, 127, 6654, 5, 4704, 13, 8, 792, 3309, 31, 7, 616, 201, 1187, 8, 1481, 6, 30, 8, 9351, 596, 5, 37, 10748, 2713, 13, 8, 1322, 398, 3, 4610, 30, 9351, 6059, 12, 592, 70, 1322, 5, 1915, 5451, 19, 163, 7020, 12, 8, 785, 2527, 6, 557, 12766, 151, 6, 3140, 135, 3, 6319, 12, 3804, 199, 12, 161, 8, 1322, 5, 555, 384, 16, 1821, 17, 27, 354, 1629, 1342, 28, 4205, 30, 66, 4458, 13, 165, 785, 788, 12, 3616, 1322, 1215, 1409, 2246, 1628, 57, 3352, 5, 4488, 9249, 2067, 210, 89, 23, 1824, 1072, 9, 152, 435, 3, 9, 1534 ]

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

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

[ 1824, 265, 41, 7, 107, 9249, 61, 21, 3, 35, 18, 29, 15975, 6214, 7, 99, 6, 30, 3, 9, 2140, 84, 3, 16032, 1821, 17, 27, 354, 1629, 5, 17881, 7, 26690, 5984, 41, 1572, 5, 1003, 3, 18, 507, 10, 48, 1267, 1821, 17, 27, 354, 1629, 6, 1315, 12, 5636, 3537, 6, 2464, 6, 3, 102, 5, 1902, 7256, 41, 102, 5, 1902, 7256, 26241, 2416, 5242, 12, 2474, 17, 27, 354, 1629, 11418, 13, 3782, 23846, 6, 6950, 1003, 10, 27, 5498, 6, 2142, 2168, 8172, 1017, 7, 2474, 17, 27, 354, 1629, 3309, 41, 8717, 4228, 201, 3, 20822, 2200, 2548, 104, 7851, 4502, 9, 109, 51, 41, 22410, 683, 61, 1821, 17, 27, 354, 1629, 3309, 3278, 6, 3, 22410, 683, 1821, 17, 27, 354, 1629, 22142, 1202, 6, 3, 22410, 683, 4593, 485, 2958, 6783, 2197, 11, 5882, 7, 16, 1821, 17, 27, 354, 1629, 6, 3, 22410, 683, 9915, 15038, 7305, 7, 16, 8, 1244, 1925, 14807, 10510, 342, 1, 37, 4485, 9, 16310, 41, 61, 19, 3, 9, 938, 10241, 4070, 22726, 18, 11748, 23, 9, 2532, 3, 9275, 52, 1950, 7478, 1077, 10431, 16, 8, 3, 17, 9803, 89, 189, 2646, 41, 12137, 33, 9811, 12, 8, 20394, 189, 18, 14006, 2457, 276, 12019, 302, 201, 713, 3673, 865, 5, 37, 3, 15, 102, 19140, 1162, 160, 32, 6, 30, 112, 194, 12, 3, 9, 2826, 2725, 44, 37, 7, 7, 138, 4554, 9, 6, 19, 7544, 120, 1026, 12, 1626, 1395, 6, 84, 19, 3, 16718, 57, 2576, 2565, 5638, 11, 2576, 2565, 4831, 41, 5751, 8, 3, 22511, 127, 37, 21144, 32, 7, 38, 3, 9, 5191, 201, 11, 213, 96, 517, 138, 173, 2, 3247, 121, 41, 6279, 19, 6, 11337, 61, 143, 95, 163, 80, 4220, 17, 41, 2, 61, 13, 186, 5, 86, 80, 3112, 6, 3, 9, 3, 15, 202, 2295, 3, 2544, 522, 96, 5605, 1496, 114, 8, 1997, 121, 23874, 7, 16, 4485, 9, 16310, 31, 7, 3, 2741, 5, 978, 9663, 37, 7512, 15, 845, 34, 31, 7, 112, 4879, 23, 152, 11831, 5, 7504, 11, 7314, 391, 5, 3385, 32, 6, 96, 345, 7, 15, 76, 26, 32, 18, 11748, 20028, 6, 4485, 1665, 782, 1686, 16, 938, 172, 288, 77, 9, 3, 15, 17, 3, 29, 15, 32, 18, 107, 693, 12878, 3, 29, 15, 9, 21631, 29, 9, 1682, 29287, 10, 3, 8313, 155, 85, 1227, 1823, 3003, 5, 205, 10206, 3515, 1227, 5375, 11697, 9, 3, 115, 27499, 77, 9, 6, 17184, 117, 3, 1572, 5, 9526, 18, 4508, 5, 272, 5, 29467, 6, 4485, 9, 16310, 6, 30355, 15, 26, 28, 18921, 11, 5257, 1208, 5, 11901, 10, 14914, 1015, 636, 3373, 6, 13480, 5, 389, 106, 603, 10158, 2106, 10241, 7, 2018, 75, 2099, 4485, 9, 16310, 6, 3, 8970, 15, 208, 10, 19650, 77, 3, 2, 956, 382, 14858, 448, 439, 6, 3, 2, 5627, 6724, 10, 4575, 1847, 23, 4701, 63, 2, 29, 40, 291, 2, 6, 6503, 5, 1610, 92, 37, 3137, 23, 1572 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 302, 42, 1484, 75, 63, 32, 51, 5965, 9, 57, 11977, 152, 22839, 1665, 7, 31, 20709, 12, 1626, 1395, 41, 5867, 938, 10241, 4070, 61, 17881, 7, 5740, 26, 7999, 7, 6, 71, 5, 6, 11419, 15, 14378, 16, 938, 172, 288, 2552, 10, 37, 25008, 7, 13, 6781, 28521, 11, 8, 419, 7239, 13, 8, 6744, 138, 16418, 5, 10096, 10, 205, 6880, 6, 2628, 117, 3, 1572, 5, 2307, 25369, 4591, 5, 262, 2047, 7, 1778, 6, 96, 634, 4485, 9, 16310, 10, 3, 28318, 3, 9, 30621, 23842, 257, 1686, 16, 276, 5, 9899, 127, 5807, 41, 15, 26, 5, 201, 325, 522, 212, 8831, 15, 20, 50, 31533, 938, 10241, 4070, 10, 312, 10062, 3, 35, 6584, 238, 1569, 3, 29073, 5, 1919, 10, 3, 31721, 93, 10797, 7, 17868, 3, 35, 13554, 7787, 7, 6, 2969, 3, 26, 22, 9643, 7, 938, 10241, 4070, 7, 6, 14563, 32, 18, 88, 195, 13614, 7771, 3, 15, 17, 8411, 18, 222, 15851, 7, 41, 4135, 7, 7, 4518, 57, 172, 288, 77, 7, 6, 5063, 5, 7973, 22316, 137, 26094, 107, 3768, 6, 71, 5, 11, 71, 5, 549, 13626, 106, 18, 427, 102, 4008, 6, 5968, 16, 938, 10241, 4070, 10160, 16, 8, 1289, 6190, 189, 11, 332, 9803, 89, 189, 18434, 76, 2593, 5, 20776, 11, 3144, 4975, 10, 636, 13, 1826, 3373, 6, 5541, 117, 3, 1572, 5, 3, 24090, 7, 1824, 5, 938, 10241, 4070, 6678, 586, 189, 18, 14006, 1335, 1, 18102, 18707, 23, 41, 117, 16312, 61, 19, 3, 9, 2830, 2377, 113, 1553, 3924, 44, 8, 1246, 13, 192, 18, 232, 18, 9, 18, 17114, 5, 1347, 161, 47, 3, 21102, 16, 1473, 116, 255, 47, 662, 6, 4283, 30, 3, 9, 442, 545, 7334, 116, 255, 47, 2641, 6, 11, 255, 141, 3, 9, 6729, 4473, 44, 3, 9, 7071, 16, 1524, 116, 255, 47, 27137, 6, 11, 1116, 227, 6, 44, 8, 13962, 283, 5, 180, 4365, 1171, 7557, 44, 8, 3931, 7, 8008, 29, 14932, 6, 16, 3, 9, 6723, 6981, 4997, 57, 8, 14448, 18, 188, 17, 7815, 3312, 13, 1261, 16, 10585, 896, 6, 12401, 5, 37, 180, 4365, 1171, 6981, 1285, 3, 9, 3924, 612, 116, 255, 47, 386, 7201, 96, 439, 17132, 535, 938, 8, 97, 255, 47, 26653, 6, 1296, 315, 1335, 141, 118, 1545, 81, 18102, 18707, 23, 5, 328, 1219, 8, 733, 13, 46, 16679, 3202, 113, 1858, 12, 2383, 21622, 7, 6, 3, 12534, 32, 106, 7, 6, 11, 10003, 6, 11, 113, 3, 4774, 139, 3, 9, 296, 18, 89, 265, 1162, 1021, 3, 6808, 113, 7445, 38, 26108, 7, 13, 8, 3931, 7, 8008, 29, 7533, 160, 482, 786, 6331, 11, 3652, 28, 160, 10410, 6453, 5, 18102, 18707, 23, 92, 3, 21102, 16, 3434, 11, 3, 4774, 12, 333, 24, 684, 16, 160, 2214, 3, 6808, 203, 5, 9165, 53, 8, 2968, 1612, 11, 3447, 3, 9, 10946, 12, 810, 768, 16, 3434, 6, 16, 6911, 1553, 12, 810, 768, 44, 8, 4702, 13, 11456, 4218, 22402 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 5, 451, 65, 141, 186, 4473, 7, 16, 3434, 437, 6911, 6, 379, 44, 25010, 2215, 4339, 7, 5, 451, 19, 4464, 12, 9050, 17792, 4765, 18, 152, 5, 17881, 7, 26241, 2416, 18102, 18707, 23, 9152, 7, 45, 2846, 1468, 226, 23, 5753, 151, 16312, 3879, 7, 4702, 13, 11456, 4218, 6, 22402, 10644, 2449, 45, 2846, 173, 77, 9364, 3153, 1, 4599, 7780, 454, 663, 41, 28635, 10372, 25684, 3, 104, 1332, 12074, 7520, 61, 47, 46, 797, 10501, 14804, 11, 21982, 113, 19, 6141, 12, 43, 26313, 662, 887, 16, 11, 300, 2716, 14701, 274, 112, 10319, 16, 14834, 5, 216, 47, 3, 21217, 13, 7738, 53, 386, 13, 135, 6, 11, 59, 1940, 12, 3689, 30, 8, 4509, 5, 216, 47, 13763, 57, 8, 538, 13, 5664, 16, 8, 2806, 3533, 5, 25093, 86, 14834, 6, 18751, 6, 5664, 47, 3, 22725, 3, 9, 6772, 13, 7738, 7, 13, 887, 5, 3, 8656, 12766, 872, 887, 141, 118, 4792, 57, 3, 9, 28998, 127, 24649, 26, 8, 6394, 53, 5438, 29, 12683, 5, 86, 811, 6, 8, 5678, 13, 192, 1021, 1001, 3, 7, 994, 2765, 141, 118, 435, 1067, 13, 4361, 493, 9416, 4676, 5, 37, 8378, 342, 1637, 13, 8926, 130, 5229, 57, 3, 9, 2068, 12, 8, 415, 2095, 5752, 1545, 30, 907, 1323, 6788, 2478, 4203, 5, 37, 609, 14973, 2232, 3990, 16262, 12, 36, 45, 3, 9, 3, 3810, 13, 2391, 872, 1076, 113, 130, 3609, 3, 9, 1001, 2335, 2290, 545, 11, 133, 5781, 160, 3, 99, 8, 6394, 53, 5438, 29, 12683, 130, 59, 1120, 60, 107, 14550, 5, 37, 6394, 53, 5438, 29, 12683, 47, 6141, 12, 36, 3, 9, 1001, 388, 6, 11, 48, 141, 118, 5456, 2196, 44, 8, 97, 5, 37, 2391, 872, 28841, 15, 7, 3, 21464, 12, 36, 801, 38, 8, 96, 3809, 2319, 13, 26567, 1686, 11, 1114, 8, 2095, 5752, 12, 4521, 28, 135, 1009, 4175, 30, 2252, 42, 4390, 5, 37, 166, 2068, 47, 2348, 57, 717, 117, 3725, 6, 3, 9, 4037, 10348, 2173, 13, 24836, 47, 92, 263, 12, 453, 8, 3, 12554, 2290, 545, 6, 2776, 173, 7714, 6, 7267, 5, 41, 683, 4365, 739, 47, 92, 801, 38, 23506, 2776, 173, 377, 11684, 11, 119, 3, 5434, 2260, 5, 61, 37, 5487, 130, 2348, 57, 951, 3088, 5, 37, 5487, 11, 3088, 130, 3, 9, 3534, 9, 226, 3855, 12, 12355, 17, 1388, 45, 8, 490, 14804, 5, 2776, 173, 7714, 6, 8, 5741, 2290, 545, 6, 141, 118, 26313, 874, 1274, 274, 255, 47, 435, 6, 11, 274, 8, 166, 2068, 47, 1622, 5, 1347, 643, 47, 3883, 16, 778, 1186, 14834, 5, 451, 47, 1401, 203, 625, 5, 14902, 227, 2239, 6, 826, 3909, 16, 780, 430, 580, 45, 8, 96, 3809, 2319, 13, 26567, 1686, 3, 9, 511, 1001, 2335, 31, 7, 643, 47, 435, 44, 3, 9, 18371, 620, 44, 4361, 493, 9416, 5, 1347, 564, 47, 27, 1536, 15, 21564, 2168, 8804, 5, 451, 47, 3538, 5, 17579, 3278, 52, 2715, 480, 5 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 7127, 7, 1171, 990, 3, 9, 3278, 84, 15376, 15, 26, 24, 8, 14804, 47, 80, 388, 6, 59, 2391, 117, 1001, 6, 59, 872, 117, 712, 6, 59, 168, 18, 15, 4817, 920, 6, 11, 1077, 3, 9, 731, 18, 6254, 53, 2716, 388, 44, 8, 21, 17, 16, 112, 1480, 3, 17, 16103, 725, 5, 3, 3626, 8, 3278, 11, 2718, 24, 321, 7714, 11, 21564, 2168, 8804, 130, 17074, 155, 2810, 7, 6, 5664, 10504, 13, 25093, 5803, 19141, 1084, 8, 21, 17, 21, 6448, 84, 141, 2389, 1001, 9331, 7, 5, 328, 130, 1224, 3, 179, 12, 2862, 4599, 454, 663, 11, 10319, 376, 5, 216, 47, 3, 9, 13712, 41, 427, 18, 7256, 5223, 12, 46, 768, 7613, 63, 1745, 44, 8, 21, 17, 38, 3, 9, 4072, 2535, 5, 454, 663, 141, 11173, 112, 2716, 1415, 38, 3, 9, 7899, 274, 6109, 8, 6788, 5, 366, 11230, 15, 26, 28, 2084, 379, 112, 609, 9933, 6, 2249, 18338, 6, 11, 9585, 11384, 45, 8, 5447, 8073, 6, 454, 663, 25613, 15, 26, 12, 9357, 321, 887, 11, 12, 8, 9357, 13, 3, 9, 1025, 2335, 44, 4361, 493, 9416, 16, 1600, 16433, 5, 14412, 454, 3142, 348, 6, 14320, 47, 3, 9, 872, 6788, 1045, 801, 12, 833, 1001, 10838, 11, 569, 1737, 16, 1001, 11943, 7, 5, 454, 663, 47, 59, 4977, 28, 454, 3142, 348, 31, 7, 7738, 16, 8, 14705, 358, 6, 68, 47, 4977, 6, 1971, 6, 11, 3, 21217, 57, 3, 9, 1614, 22526, 21, 160, 1687, 5, 3, 18167, 6, 454, 663, 47, 92, 4313, 38, 8, 14804, 13, 3, 9, 1021, 1001, 2335, 44, 4361, 15717, 20429, 16, 11494, 5, 454, 663, 47, 59, 4977, 28, 48, 7738, 5, 611, 6, 3, 3565, 112, 662, 801, 3, 10207, 9440, 7, 6, 3, 88, 47, 16679, 13, 8, 6394, 53, 5438, 29, 12683, 7738, 7, 6, 3725, 3, 20923, 12, 430, 1001, 388, 6, 3, 30339, 13439, 5, 17190, 8773, 454, 663, 47, 3, 21217, 16, 3, 9, 2716, 1614, 6, 68, 59, 1971, 16, 14705, 8773, 6, 21, 8, 7738, 13, 27, 1536, 15, 21564, 2168, 8804, 5, 454, 663, 47, 92, 1971, 11, 3, 21217, 16, 3, 9, 1614, 22526, 6, 68, 59, 3, 9, 14705, 1614, 6, 21, 8, 7738, 13, 14412, 454, 3142, 348, 5, 3, 2092, 112, 1614, 22526, 21, 8, 7738, 13, 27, 1536, 15, 21564, 2168, 8804, 6, 454, 663, 1204, 3, 9, 280, 7142, 84, 47, 7211, 26, 116, 10081, 127, 7, 1500, 3, 88, 3, 40, 13365, 8, 2550, 2614, 21, 554, 5700, 6821, 5, 242, 8, 14319, 13, 321, 454, 3142, 348, 11, 21564, 2168, 8804, 6, 454, 663, 31, 7, 804, 1614, 22526, 7142, 47, 280, 44, 614, 5347, 5, 37, 13929, 7, 130, 356, 5915, 16, 6694, 11, 3, 88, 47, 59, 3, 60, 17, 9889, 57, 8, 2716, 1614, 358, 5, 7707, 23, 152, 8773, 454, 663, 3, 208, 5, 1015, 6, 204, 2128, 2776, 5, 505, 4834, 6, 204, 3651, 180, 5, 427, 5, 357, 26 ]

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

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

[ 220, 3288, 6, 12276, 5, 11958, 6, 314, 3647, 412, 5, 134, 5, 335, 3708, 6, 13736, 180, 5, 254, 17, 5, 489, 4314, 6, 3, 3539, 301, 5, 427, 26, 5, 357, 26, 431, 2596, 2863, 2079, 137, 86, 48, 495, 6, 454, 663, 31, 7, 13929, 11, 7142, 13, 1687, 16, 8, 7714, 7738, 130, 3, 30511, 57, 8, 5664, 8531, 2243, 5, 37, 21564, 2168, 8804, 7738, 19, 92, 1285, 16, 8, 2243, 31, 7, 4505, 51, 257, 13, 8, 6688, 5, 454, 663, 3, 208, 5, 1027, 288, 6, 314, 4834, 412, 5, 134, 5, 668, 4122, 6, 3, 14388, 180, 5, 254, 17, 5, 460, 4448, 6, 9455, 301, 5, 427, 26, 5, 357, 26, 314, 4729, 2863, 4613, 137, 37, 907, 1323, 8531, 2243, 11958, 12276, 23, 127, 1665, 16, 454, 663, 31, 7, 2010, 9, 7, 11736, 302, 3958, 16, 8, 7714, 7738, 5, 4599, 7780, 454, 663, 6, 5520, 4749, 49, 6, 3, 208, 5, 13171, 309, 5, 1027, 288, 6, 15811, 35, 6, 5664, 27678, 275, 4501, 2420, 1166, 6, 23483, 295, 907, 1323, 2243, 13, 3, 29641, 6, 1289, 6190, 189, 17007, 5, 431, 4314, 377, 5, 357, 26, 668, 2445, 6, 12276, 5, 11958, 6, 314, 3891, 412, 5, 134, 5, 586, 1714, 6, 3, 17864, 180, 5, 254, 17, 5, 3097, 3628, 6, 3, 4013, 301, 5, 427, 26, 5, 357, 26, 1179, 4271, 2863, 4591, 137, 621, 8, 412, 5, 134, 5, 8531, 2243, 14833, 12, 1616, 112, 166, 2010, 9, 7, 11206, 16, 8, 7714, 495, 16, 14505, 6, 8, 2822, 8319, 5867, 1614, 21, 8, 850, 189, 17007, 6, 84, 963, 5664, 6, 3, 30511, 454, 663, 31, 7, 13929, 68, 5563, 3, 9, 3, 60, 17, 12042, 13, 8, 1622, 15, 4733, 1726, 250, 8, 23489, 127, 31, 7, 6733, 5464, 20518, 8, 1622, 15, 4733, 23613, 4431, 120, 18216, 6, 11, 250, 192, 10081, 127, 7, 130, 22187, 120, 19678, 16, 12374, 13, 438, 49, 7990, 106, 3, 208, 5, 7659, 6, 3, 9, 495, 81, 73, 4998, 2428, 12, 12730, 724, 1918, 70, 1687, 10736, 11393, 5, 37, 2822, 8319, 5867, 1614, 2459, 5563, 8, 538, 1614, 358, 12, 370, 3, 9, 126, 6, 72, 2725, 6, 1622, 15, 4733, 3944, 3689, 21, 8, 7738, 13, 7714, 5, 454, 663, 3, 208, 5, 1015, 6, 944, 591, 2776, 5, 305, 3072, 6, 220, 2668, 180, 5, 427, 5, 357, 26, 204, 4225, 6, 12276, 5, 11958, 6, 314, 4581, 412, 5, 134, 5, 335, 3747, 6, 3, 16431, 180, 5, 254, 17, 5, 1640, 11071, 3, 4060, 301, 5, 427, 26, 5, 357, 26, 305, 4608, 2863, 4433, 137, 621, 3, 9, 511, 1622, 15, 4733, 3689, 741, 15, 26, 16, 430, 1687, 7142, 21, 8, 7738, 13, 7714, 6, 8, 5664, 8531, 2243, 3, 30511, 8, 1687, 7142, 5, 454, 663, 5132, 430, 11206, 21, 2010, 9, 7, 11736, 302, 16, 8, 19463, 2243, 13, 299, 17, 7, 1334, 6, 84, 19, 3, 9, 5664, 538, 3689, 1614, 5, 466, 1614, 11958, 112 ]

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

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

[ 11206, 227, 3609, 46, 6843, 23, 1208, 3507, 5, 454, 663, 3, 208, 5, 28687, 6, 204, 3449, 2776, 5, 431, 3647, 6, 220, 4552, 180, 5, 427, 5, 357, 26, 3, 25987, 2863, 4060, 201, 12276, 5, 11958, 6, 314, 2394, 412, 5, 134, 5, 335, 2122, 6, 3, 17304, 180, 5, 254, 17, 5, 898, 3449, 6, 3, 15442, 301, 5, 427, 26, 5, 357, 26, 3, 27156, 2863, 3914, 61, 37, 5664, 8531, 2243, 3, 30511, 8, 20, 7419, 13, 2010, 9, 7, 11736, 302, 57, 8, 19463, 2243, 13, 299, 17, 7, 1334, 6, 11, 16, 9975, 6, 8, 412, 5, 134, 5, 8531, 2243, 12191, 12, 1616, 112, 3958, 13, 8, 10414, 5664, 8531, 2243, 12346, 5, 621, 8, 5664, 8531, 2243, 3, 30511, 8, 20, 7419, 13, 2010, 9, 7, 11736, 302, 57, 8, 19463, 2243, 13, 299, 17, 7, 1334, 16, 10414, 6, 454, 663, 258, 5132, 3, 9, 126, 11206, 21, 2010, 9, 7, 11736, 302, 16, 8, 2822, 3570, 2243, 21, 8, 4551, 3570, 13, 5664, 117, 24, 1614, 11958, 8, 11206, 406, 3609, 46, 6843, 23, 1208, 3507, 5, 454, 663, 258, 3958, 15, 26, 12, 8, 2822, 8319, 5867, 1614, 21, 8, 850, 189, 17007, 6, 84, 1500, 8, 495, 16, 1762, 6, 8388, 5, 4599, 7780, 454, 663, 6, 5520, 4749, 49, 18, 13219, 6761, 6, 3, 208, 5, 13171, 1027, 288, 6, 15811, 35, 6, 5664, 27678, 3, 184, 4501, 2420, 1166, 6, 23483, 295, 18, 19654, 15, 907, 1323, 2243, 13, 3, 29641, 6, 1289, 6190, 189, 17007, 5, 668, 4959, 377, 5, 357, 26, 850, 2079, 41, 683, 152, 5, 8580, 8388, 137, 419, 88, 9, 1007, 11, 419, 88, 9, 1007, 695, 5185, 75, 3128, 5973, 1332, 9694, 8388, 5, 86, 3, 9, 4352, 4456, 455, 6, 3, 9, 2952, 13, 8, 2822, 8319, 5867, 1614, 16, 8, 850, 189, 17007, 11958, 454, 663, 31, 7, 2010, 9, 7, 3958, 16, 8, 7714, 7738, 6, 11, 11958, 376, 8, 1004, 12, 915, 112, 495, 12, 8, 423, 8319, 5867, 8453, 41, 77, 11931, 13, 8, 2952, 137, 25183, 23, 106, 454, 663, 47, 7142, 26, 12, 1687, 16, 14705, 1614, 21, 8, 7738, 13, 2776, 173, 7714, 11, 7142, 26, 12, 280, 16, 5714, 16, 2716, 1614, 21, 8, 1687, 13, 27, 1536, 15, 21564, 2168, 8804, 5, 978, 2716, 280, 7142, 21, 21564, 2168, 8804, 47, 147, 24346, 5, 978, 14705, 1687, 7142, 21, 7714, 47, 59, 5, 216, 47, 13763, 57, 8, 538, 13, 5664, 30, 1332, 12074, 7520, 6, 1009, 8, 2806, 3533, 5, 216, 47, 8, 204, 3341, 7, 17, 16, 5058, 13763, 12404, 437, 8, 412, 5, 134, 5, 8531, 2243, 13216, 8, 1687, 10736, 16, 16164, 11, 8, 507, 189, 16, 5664, 5, 86, 8, 716, 274, 112, 1687, 6, 8, 8531, 2243, 3, 11060, 6, 431, 104, 6355, 59, 12, 1099, 112, 3958, 5, 86, 3, 26, 10924, 6, 6923, 8929, 1589, 51, 202, 243, 24, 237, 3, 99, 3, 88, 141, 59, 1310, 454, 663, 141, 46, 3 ]

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

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

[ 20835, 13, 6374, 18, 4440, 979, 6, 84, 853, 15821, 376, 38, 96, 24678, 747, 8445, 11850, 121, 30, 941, 1035, 2643, 7, 13, 2550, 19329, 257, 5, 13228, 8843, 277, 63, 2502, 807, 3, 15262, 454, 663, 31, 7, 2550, 11, 3, 8118, 23, 9, 3929, 2637, 141, 990, 21760, 1884, 12, 8, 239, 13, 112, 9281, 75, 14548, 6, 11, 80, 318, 532, 822, 13, 3, 52, 9, 4703, 14387, 16, 8, 538, 1622, 15, 4733, 12730, 318, 624, 155, 3834, 3, 29155, 15627, 5, 37, 5664, 1015, 2086, 13, 2180, 2029, 7, 11, 2180, 32, 965, 141, 59, 237, 5594, 5236, 165, 455, 3, 26634, 112, 1049, 13, 9328, 6, 11, 3, 9707, 40, 920, 34, 28, 430, 1708, 81, 128, 119, 5714, 49, 5, 37, 5664, 8531, 2243, 11958, 112, 3958, 57, 163, 80, 2902, 6, 314, 104, 5787, 555, 13, 112, 10081, 127, 7, 44, 112, 511, 1622, 15, 4733, 41, 10245, 8, 166, 47, 7211, 26, 21, 23489, 11929, 28742, 201, 3, 9, 872, 2335, 2650, 25630, 312, 13726, 6, 764, 1039, 12, 934, 24, 119, 10081, 127, 7, 263, 3, 52, 9, 4703, 21029, 81, 454, 663, 224, 38, 96, 4998, 80, 72, 8032, 3, 7315, 1304, 24, 150, 80, 133, 3041, 121, 11, 6, 3, 99, 13763, 6, 3, 88, 133, 36, 96, 782, 705, 3, 7315, 1304, 12, 8885, 535, 290, 47, 163, 80, 1001, 10081, 127, 6, 3, 9, 2208, 18, 1201, 18, 1490, 2335, 2650, 20338, 109, 9765, 4173, 7, 5, 2150, 12, 312, 13726, 6, 4173, 7, 47, 1426, 15, 26, 12, 3, 52, 9, 4703, 16, 162, 75, 3268, 16, 8, 12730, 562, 5, 2150, 12, 321, 312, 13726, 11, 4173, 7, 6257, 6, 4173, 7, 12191, 12, 2902, 21, 8, 1687, 10736, 5, 37, 119, 10081, 127, 7, 14986, 160, 11, 2196, 12, 8, 5191, 24, 79, 130, 25141, 5, 366, 8, 12730, 47, 5492, 15, 26, 16, 8, 3053, 13, 8, 1614, 6, 4173, 7, 47, 57, 258, 396, 3, 89, 3535, 4632, 12, 2516, 95, 5, 37, 119, 10081, 127, 7, 141, 1219, 160, 24, 255, 228, 36, 3, 21217, 13, 399, 10609, 63, 3, 99, 255, 2925, 12, 1520, 91, 6, 437, 255, 141, 794, 3676, 6, 383, 12730, 1801, 6, 24, 255, 228, 2902, 21, 8, 1687, 10736, 5, 37, 2084, 13, 312, 13726, 11, 4173, 7, 91, 4843, 26, 186, 2785, 14290, 5, 180, 6146, 80, 8468, 15627, 6, 486, 3, 9, 973, 496, 2542, 8, 826, 215, 6, 4917, 18393, 446, 5, 10456, 1639, 4568, 44, 128, 2475, 112, 3474, 24, 454, 663, 31, 7, 1964, 9859, 12, 8, 7142, 5, 86, 1012, 1543, 454, 663, 47, 3, 27486, 57, 3, 31394, 10618, 16, 8, 511, 774, 13, 8, 11894, 939, 6, 8477, 107, 5957, 5, 1610, 92, 6792, 13, 151, 13763, 16, 5664, 41, 1265, 5, 134, 5, 538, 61, 6792, 13, 10501, 14804, 7, 16, 8, 907, 1323, 17881, 7, 23744, 3879, 7, 7520, 14319, 460, 189, 18, 14006, 9328, 7, 57, 5664, 41, 1265, 5, 134, 5, 538, 61 ]

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

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

[ 797, 151, 3, 21217, 13, 7738, 16923, 7, 581, 3, 7, 994, 2765, 16, 8, 907, 1323, 25183, 15, 26, 3850, 18, 8778, 151, 25183, 15, 26, 797, 10501, 14804, 7, 17830, 10501, 14804, 7, 2449, 3, 21217, 13, 7738, 57, 5664, 41, 1265, 5, 134, 5, 538, 61, 2449, 3, 21217, 13, 7738, 57, 8, 907, 1323, 2716, 2449, 13763, 57, 5664, 41, 1265, 5, 134, 5, 538, 61, 57, 2806, 3533, 27344, 277, 7142, 26, 12, 280, 30823, 57, 8, 907, 1323, 2716, 907, 1323, 6788, 10838, 907, 1323, 7899, 7, 16433, 7738, 7, 16, 8, 907, 1323, 460, 189, 18, 14006, 9328, 7, 13, 797, 151, 2449, 13763, 21, 7738, 2922, 4703, 3534, 11579, 7, 907, 1323, 6788, 4231, 113, 130, 1614, 18, 1635, 10646, 15, 26, 1, 37, 907, 6524, 1121, 11305, 47, 46, 3472, 14568, 297, 1068, 15513, 6, 2127, 16, 21402, 57, 8, 24420, 13255, 27275, 7, 2063, 41, 4256, 3073, 137, 37, 1121, 11305, 27275, 41, 858, 324, 718, 8, 96, 683, 202, 23, 127, 11305, 121, 42, 96, 683, 202, 23, 127, 7, 8512, 47, 1086, 1026, 44, 1246, 10128, 8233, 16, 284, 1426, 47, 2769, 26, 38, 10, 1699, 173, 6, 3424, 6, 6529, 42, 2678, 17, 77, 4985, 5, 4375, 141, 12, 2485, 1296, 9016, 6, 379, 1566, 11, 23516, 6, 12, 3442, 3, 9, 6017, 5, 304, 3442, 3, 9, 96, 20705, 7830, 20554, 121, 80, 141, 12, 3442, 44, 709, 3, 9, 998, 16, 874, 7404, 6, 379, 1566, 6, 23516, 6, 2854, 11, 3, 9, 1612, 5, 3, 3405, 113, 4567, 228, 3, 60, 4914, 8, 6498, 5, 886, 481, 113, 2804, 258, 3, 8070, 30, 44, 496, 12, 240, 8, 16808, 1121, 11305, 41, 858, 324, 718, 8, 96, 134, 35, 23, 127, 11305, 121, 42, 96, 134, 35, 23, 127, 7, 8512, 44, 1246, 12265, 37, 1121, 11305, 47, 31226, 15, 26, 227, 8, 350, 4770, 411, 18, 25465, 47, 3665, 16, 25684, 5, 37, 1121, 11305, 92, 16415, 16, 3, 9, 381, 13, 21260, 1440, 224, 38, 2051, 11, 6243, 44, 796, 648, 5, 1610, 92, 1121, 11305, 41, 31971, 61, 1121, 11305, 41, 6861, 5725, 61, 1121, 11305, 41, 19059, 155, 23, 302, 61, 1121, 11305, 3, 18, 2502, 6826, 7, 10, 28123, 6, 7904, 16808, 1121, 11305, 41, 5110, 23, 1054, 6524, 61, 350, 4770, 21983, 1208, 7166, 41, 27490, 61, 41, 667, 18, 25465, 61, 350, 4770, 21983, 1208, 7166, 41, 5110, 23, 1054, 6524, 61, 10096, 1331, 21983, 1208, 7166, 41, 134, 53, 9, 21642, 61, 10096, 1331, 411, 18, 25465, 7404, 11305, 13, 24420, 2855, 41, 254, 4132, 61, 11305, 13, 24420, 2855, 41, 5110, 23, 1054, 6524, 61, 41, 254, 4132, 61, 2146, 11305, 13, 24420, 2855, 41, 11055, 4132, 201, 84, 5821, 8, 411, 18, 25465, 7, 11, 205, 4132, 1331, 2146, 11305, 13, 24420, 2855, 41, 8834, 254, 4132, 201, 84, 19, 1860, 28, 42, 1446, 13, 411, 18, 25465, 7, 12012, 2146, 11305, 13, 2855, 41, 517, 4770, 201, 84, 13009, 411, 18, 25465, 7, 11, 71 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 18, 4563, 7, 17881, 7, 19173, 15395, 16, 8, 907, 6524, 1, 970, 900, 2295, 693, 2474, 41, 61, 19, 3, 9, 422, 1511, 8382, 44, 8, 819, 13, 71, 4031, 32, 9, 24454, 30, 1925, 7, 20936, 16, 368, 5725, 5, 1015, 11428, 6374, 9016, 190, 8, 1511, 5, 37, 461, 9, 1123, 20936, 2450, 7, 970, 900, 2295, 693, 10210, 45, 18931, 31, 7, 2474, 5, 970, 900, 2295, 693, 19, 230, 294, 13, 30453, 896, 2063, 10185, 437, 8, 690, 31, 7, 31870, 257, 28, 1925, 7, 20936, 3570, 16, 15066, 1029, 26923, 552, 9975, 6, 970, 900, 2295, 693, 47, 8, 3143, 13, 8, 71, 4031, 32, 9, 1334, 2063, 5, 5528, 37, 353, 13, 46, 4913, 283, 2, 2057, 3, 102, 2, 42, 21, 17, 3676, 7025, 19, 44, 411, 77, 1639, 32, 6, 213, 8, 970, 900, 2295, 693, 2282, 5024, 469, 5, 486, 2255, 549, 14888, 76, 25153, 6, 3, 9, 7151, 9, 42, 615, 1088, 13, 445, 122, 2, 17, 23, 71, 210, 9, 20614, 7, 212, 18109, 383, 8, 3392, 7, 2237, 57, 2255, 22041, 6583, 1024, 16, 507, 3341, 5, 37, 564, 13, 8, 1511, 11, 10210, 639, 45, 8, 244, 4350, 13, 192, 10740, 3736, 965, 18, 26579, 77, 11, 5181, 18, 279, 35, 1191, 1109, 970, 900, 2295, 693, 6, 113, 1213, 1322, 132, 45, 8, 15206, 235, 18, 279, 127, 221, 40, 8284, 1958, 6, 44, 8, 97, 13, 8, 2379, 7025, 44, 71, 4031, 32, 9, 16, 8, 507, 2445, 7, 5, 86, 8, 826, 5112, 6, 1322, 5815, 970, 900, 2295, 693, 2474, 47, 3, 29107, 45, 8, 31868, 2125, 57, 2390, 3, 29547, 6, 379, 4599, 1660, 302, 14626, 6, 113, 47, 8, 4284, 13, 5417, 3080, 14626, 6, 8, 2581, 21982, 11, 6718, 23, 138, 13176, 6, 801, 38, 96, 517, 127, 2029, 13, 12877, 52, 235, 440, 121, 227, 112, 1687, 5, 37, 166, 339, 6134, 7, 130, 2944, 16, 507, 3436, 117, 1456, 1756, 47, 2937, 30, 14592, 16629, 11, 1509, 53, 6, 3323, 12, 2046, 9, 3124, 5, 23610, 3, 9905, 7, 130, 3, 3484, 776, 26, 16, 8, 5827, 6, 113, 3, 51, 53, 1361, 28, 8, 13573, 40, 3, 9905, 7, 24, 130, 641, 915, 5, 282, 8, 2195, 1189, 47, 13139, 6, 34, 47, 5821, 28, 26126, 5, 37, 166, 8955, 52, 44, 8, 3642, 13, 8, 2474, 6, 8, 1128, 13, 8, 915, 1511, 6, 47, 3, 9, 2379, 348, 718, 3, 14615, 1607, 6, 113, 4363, 16, 507, 4853, 5, 25045, 3, 14475, 47, 92, 8, 711, 1756, 6, 38, 168, 38, 3432, 740, 5, 37, 1509, 29, 14592, 47, 66, 4006, 91, 13, 8, 10210, 57, 8428, 1192, 12979, 5, 71, 452, 629, 11, 3, 9, 1814, 130, 1192, 16, 8, 507, 1752, 7, 5, 71, 422, 740, 24, 2098, 38, 321, 2078, 11, 496, 47, 1192, 57, 415, 151, 30, 3, 9, 985, 18, 10610, 5944, 13, 1322, 13207, 57, 2809, 5225, 17, 17, 15, 7377, 5, 37, 166, 3574, 7540, 1553, 12, 36, 8520 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 16, 8, 3, 24700, 7, 11, 507, 4440, 1509, 8, 6870, 13, 8, 1334, 2063, 6036, 11, 8, 1844, 2126, 5, 2867, 8, 970, 900, 2295, 693, 2282, 11, 8, 442, 828, 130, 14621, 6780, 57, 8, 16145, 7, 24, 10056, 8, 1719, 16, 2735, 11, 8088, 37, 10043, 1467, 13, 8, 1595, 130, 20, 4641, 11904, 227, 8, 16145, 7, 6, 8, 4080, 1467, 13, 8, 740, 130, 3, 60, 26940, 38, 3, 9, 712, 18, 7154, 63, 8752, 16, 1600, 6386, 37, 442, 828, 47, 20, 4641, 11904, 16, 1480, 7033, 10007, 16587, 7, 970, 900, 2295, 693, 19, 3028, 57, 19258, 368, 5725, 38, 3, 9, 5372, 7025, 6, 11, 3792, 3, 5, 94, 19, 3, 31801, 28, 119, 7025, 7, 379, 2379, 4990, 6, 3129, 23, 17965, 6, 17461, 31, 7, 2474, 11, 18973, 9, 3357, 76, 9, 38, 8, 11775, 616, 13, 71, 4031, 32, 9, 24454, 4663, 2962, 51, 16587, 7, 5, 970, 900, 2295, 693, 141, 3, 9, 2074, 13, 8003, 44, 8, 846, 368, 5725, 23087, 6, 3, 9, 6313, 13, 604, 151, 41, 11590, 5, 5170, 61, 437, 8, 2038, 23087, 6, 11, 46, 993, 13, 668, 151, 41, 26627, 6210, 437, 8, 3581, 23087, 5, 290, 130, 3, 4608, 15802, 5, 290, 130, 2777, 5069, 7, 11, 3, 4225, 3955, 7, 6, 1517, 3, 9, 3, 7, 994, 5688, 13, 1300, 4928, 5069, 7, 399, 3955, 5, 37, 15572, 1246, 47, 431, 19660, 203, 41, 2172, 28, 6862, 5, 591, 203, 16405, 201, 28, 627, 151, 13642, 5, 5170, 61, 9742, 365, 627, 203, 6, 586, 41, 29045, 6210, 9742, 627, 12, 14405, 3, 3539, 6918, 29045, 6210, 9742, 604, 12, 6687, 6, 11, 3, 4608, 8457, 29045, 6210, 9742, 7123, 42, 2749, 5, 262, 189, 2532, 2197, 130, 3, 4271, 5, 5170, 1611, 87, 345, 2, 1050, 107, 2, 6, 1877, 5170, 283, 2, 2057, 6, 1877, 5170, 5824, 151, 7, 6, 1300, 6170, 6578, 6, 11, 3594, 6932, 119, 11655, 2197, 41, 235, 1947, 7, 617, 12, 72, 145, 2349, 437, 151, 228, 2862, 28, 1317, 11655, 2197, 137, 1875, 128, 151, 3735, 15, 26, 12, 1517, 70, 5562, 6, 3479, 5, 6932, 141, 150, 5562, 6, 9668, 5, 6170, 130, 2826, 11, 1300, 6170, 141, 119, 5562, 7, 5, 1129, 273, 44, 709, 627, 203, 625, 6, 6352, 4743, 23074, 6210, 151, 141, 3, 9, 16428, 42, 1146, 1952, 6, 11, 2307, 19198, 5, 5988, 61, 151, 141, 150, 4727, 15395, 5, 37, 15572, 2055, 47, 3771, 11864, 7015, 6, 3, 2172, 28, 5583, 4347, 6192, 16405, 5, 37, 4311, 2637, 13, 273, 44, 709, 627, 47, 24, 1640, 6918, 27869, 6210, 151, 130, 8152, 423, 18, 715, 6, 997, 4077, 12451, 6210, 130, 294, 18, 715, 6, 11, 3, 632, 41, 11739, 6210, 130, 73, 18749, 5, 2855, 970, 900, 2295, 693, 1121, 19, 3, 9, 12932, 2329, 496, 14825, 21, 203, 209, 12, 4357, 94, 141, 3, 9, 3812, 13, 38, 13, 37, 496, 47, 2127, 16, 3, 24700, 5, 17881, 7, 1925, 7, 20936, 3325, 450 ]

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

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

[ 115, 7, 13, 30453, 5777, 83, 920, 1747, 16, 31868, 6, 368, 5725, 2379, 18, 6861, 5725, 1543, 1, 37, 4361, 5152, 15, 2473, 19, 46, 3, 15, 102, 88, 935, 138, 4033, 16, 8, 16536, 1047, 9, 1719, 13, 3782, 2051, 5, 94, 19, 8, 1025, 14783, 4033, 16, 8, 538, 5, 8670, 37, 4033, 3098, 7, 1084, 9651, 348, 3588, 16, 8, 411, 28197, 51, 23, 9, 10971, 81, 604, 2280, 3414, 13, 368, 348, 5, 37, 4033, 14428, 16, 3, 9, 3457, 49, 120, 2212, 8449, 28, 8, 1651, 5961, 11428, 552, 34, 26932, 8, 10367, 131, 3414, 13, 8, 28122, 1386, 919, 18, 1647, 5, 37, 4033, 258, 3154, 3457, 18, 12425, 258, 4653, 12529, 8, 1651, 5961, 11428, 541, 6, 3457, 13, 8, 1392, 2168, 2409, 1840, 5, 3, 24597, 3457, 13, 368, 348, 6, 8, 4033, 14428, 190, 8, 4361, 5152, 15, 21614, 6, 46, 359, 62, 17, 40, 232, 5, 37, 4033, 3256, 12, 819, 4653, 12529, 11428, 209, 44, 8, 4361, 5152, 15, 2409, 1840, 41, 61, 11, 12445, 7, 139, 8, 2557, 7087, 44, 1571, 2498, 5939, 81, 1283, 2280, 3414, 18, 12425, 13, 10939, 8343, 2702, 2780, 5414, 37, 4033, 19, 801, 12, 43, 997, 3, 5135, 17, 5414, 24, 560, 10, 3782, 7682, 6, 1602, 10936, 232, 9, 7682, 6, 13550, 4911, 10878, 7682, 6, 5740, 2565, 7682, 6, 4361, 5152, 15, 2473, 1013, 6, 15477, 1071, 18015, 7682, 6, 19155, 40, 77, 7682, 11, 18939, 9, 18939, 9, 7682, 5, 3, 2092, 6400, 3903, 29, 15, 20950, 16, 16312, 186, 13, 175, 3, 5135, 17, 5414, 92, 3, 25895, 5, 101, 15, 40, 23, 549, 20953, 7682, 11, 101, 15, 5171, 450, 52, 9, 7682, 321, 147, 89, 22411, 11, 2953, 8347, 7, 11, 6179, 9, 6415, 30, 8, 5845, 277, 1306, 9046, 11, 7964, 368, 348, 14421, 2356, 5, 37, 4033, 14428, 190, 3, 9, 381, 13, 3574, 387, 14652, 30, 8, 7722, 294, 13, 165, 2027, 379, 5509, 26, 9, 9896, 6, 283, 425, 2381, 10116, 9896, 6, 4737, 53, 9896, 11, 9509, 23202, 9896, 5, 22570, 297, 37, 4361, 5152, 15, 22570, 297, 616, 7128, 7, 45, 8, 7518, 596, 13, 8, 2695, 13263, 14477, 402, 11, 8, 8390, 596, 13, 8, 5845, 277, 1306, 10971, 492, 169, 13, 8, 3, 17, 13245, 344, 8, 192, 5, 37, 10645, 6080, 7, 33, 10431, 13, 3596, 63, 14364, 7, 28, 128, 5261, 53, 14364, 7, 6, 6899, 265, 7, 11, 614, 1131, 4484, 7, 5, 2336, 19, 5816, 44, 411, 28197, 51, 23, 9, 10939, 84, 4532, 3, 9, 792, 2908, 13, 220, 8630, 6858, 6, 11, 3, 9, 792, 13, 8580, 23838, 3, 6858, 87, 1201, 33, 6796, 45, 8, 1774, 387, 21, 169, 16, 8, 1511, 13, 368, 348, 5, 4361, 5152, 15, 21614, 15, 7, 1610, 92, 4361, 5152, 15, 21614, 15, 7, 37, 819, 3552, 7, 616, 13, 4361, 5152, 15, 2473, 19, 2667, 11, 8113, 107, 63, 5, 94, 19, 3, 9, 1128, 213, 3782, 7682, 6, 1602, 10936, 232, 9, 7682, 11 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 4361, 5152, 15, 2473, 3, 28209, 5, 37, 4033, 258, 14428, 190, 3, 9, 17509, 4802, 4245, 38, 623, 38, 25431, 9826, 397, 6, 116, 8, 4033, 3511, 12, 607, 3, 9, 168, 4802, 4245, 5, 94, 258, 14428, 190, 3, 9, 381, 13, 14652, 274, 7232, 8, 259, 76, 9, 9249, 616, 5, 7545, 76, 1208, 37, 4247, 13, 8, 4033, 19, 3, 9, 508, 259, 76, 9, 9249, 616, 5, 37, 259, 76, 1208, 19, 3323, 73, 7360, 3676, 6, 11, 3621, 3, 5325, 38, 3, 9, 741, 13, 4033, 827, 5, 37, 25110, 5147, 57, 8, 4033, 19, 19235, 3, 16032, 5, 37, 259, 76, 1208, 3792, 3, 9, 792, 1774, 616, 13, 37, 2942, 13, 8, 259, 76, 9, 9249, 616, 19, 263, 95, 13, 3136, 8113, 107, 11, 1413, 17, 23, 26, 138, 2667, 7, 5, 71, 6718, 63, 13, 388, 20254, 7, 169, 8, 259, 76, 1208, 38, 11341, 11, 3, 20817, 46, 616, 13, 3, 5, 7199, 3955, 1386, 2375, 1106, 23, 33, 801, 12, 26350, 8, 259, 76, 1208, 5, 5528, 37, 4033, 47, 2650, 16, 507, 4241, 383, 46, 21807, 57, 8, 3, 20901, 11, 3719, 127, 11065, 3576, 25431, 6, 227, 2695, 13263, 4361, 5152, 15, 6, 12876, 1208, 3526, 18, 134, 15, 16794, 1208, 13, 1015, 21, 8, 3043, 106, 725, 5, 37, 1435, 2713, 13, 8, 616, 24, 8, 4033, 14428, 190, 33, 8, 86, 26, 354, 23, 3348, 23, 151, 5, 1571, 2498, 5939, 6, 44, 8, 8282, 414, 13, 8, 4033, 6, 47, 2127, 1884, 12, 507, 4591, 5, 5245, 8950, 26, 3961, 7, 130, 3, 31037, 6, 11, 57, 24, 215, 130, 6771, 81, 209, 16235, 15184, 5, 15875, 3588, 5939, 6, 231, 856, 3, 25948, 6, 47, 10166, 16, 507, 3840, 57, 9267, 6176, 15, 113, 4157, 2148, 8280, 5939, 5, 37, 166, 2314, 6841, 47, 7020, 12, 309, 5, 2143, 439, 9, 63, 16, 507, 2394, 21, 46, 616, 13, 3, 5, 71, 4716, 12529, 8, 4033, 1084, 15875, 3588, 47, 8520, 16, 8, 1480, 13978, 7, 12, 313, 8, 17941, 681, 5, 10939, 51, 53, 12152, 37, 4033, 65, 118, 3, 25384, 11, 4382, 38, 3, 9, 353, 21, 10157, 7, 6, 16, 8, 25431, 9826, 397, 11, 8, 531, 6938, 9826, 397, 38, 168, 38, 411, 28197, 51, 23, 9, 5, 17881, 7, 2473, 7, 13, 8, 16536, 1047, 9, 1719, 16516, 9992, 5690, 7, 13, 3782, 2051, 1, 37, 1648, 13, 4708, 20334, 2788, 15, 18, 25565, 4969, 5, 204, 19, 3, 9, 23436, 1486, 2306, 1883, 57, 4480, 11010, 11547, 16, 17961, 6013, 3, 9, 508, 7385, 13, 8, 1037, 255, 141, 1883, 30, 160, 166, 1296, 14234, 21, 8, 3783, 24, 47, 59, 435, 30, 8, 1767, 215, 31, 7, 37, 1648, 13, 4708, 20334, 2788, 15, 18, 25565, 5, 3, 8739, 160, 119, 166, 23436, 6, 37, 1648, 13, 4708, 20334, 2788, 15, 18, 25565, 4969, 5, 204, 405, 3480, 192, 6542, 24, 130, 470, 1883, 30, 136, 2306, 3, 18, 96, 517, 15822, 8979, 8718, 10855, 366, 148 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 31, 60, 350, 782, 1686, 84, 47, 470, 2904, 1883, 6, 11, 96, 22674, 8, 23797, 13, 499, 6219, 1686, 84, 47, 347, 30, 8, 96, 196, 31, 51, 350, 15822, 493, 3, 9, 6993, 11874, 7204, 121, 712, 24, 47, 5059, 53, 16, 8, 1270, 44, 8, 97, 5, 8799, 6437, 432, 6542, 10431, 57, 4708, 20334, 2788, 15, 18, 25565, 3578, 213, 7972, 5, 96, 196, 17, 31, 7, 499, 5994, 121, 536, 3, 18, 220, 10, 3710, 96, 3845, 31, 7, 3, 9, 18268, 1804, 1140, 156, 148, 8366, 1212, 121, 755, 3, 18, 204, 10, 2577, 96, 3845, 63, 5258, 9992, 121, 591, 3, 18, 27078, 519, 96, 134, 2444, 12, 3, 9, 3319, 6106, 40, 121, 591, 41, 683, 106, 23, 17949, 61, 3, 18, 220, 10, 2884, 96, 188, 7812, 121, 948, 41, 448, 23, 9781, 19586, 7, 61, 3, 18, 305, 10, 3076, 96, 7286, 63, 121, 948, 3, 18, 209, 10, 2668, 96, 3845, 3306, 26, 901, 782, 16, 4463, 121, 536, 3, 18, 314, 10, 4853, 96, 18300, 29, 63, 493, 4506, 121, 357, 3, 18, 209, 10, 3647, 96, 1649, 63, 29, 986, 630, 121, 784, 188, 584, 4624, 2060, 13637, 908, 591, 41, 9402, 10569, 138, 61, 3, 18, 204, 10, 3390, 96, 517, 15822, 8979, 8718, 10855, 366, 148, 31, 60, 350, 782, 121, 927, 3, 18, 209, 10, 3647, 96, 382, 1748, 7552, 7, 16, 5664, 121, 755, 3, 18, 220, 10, 4201, 96, 634, 1184, 1162, 15, 40, 121, 591, 3, 18, 204, 10, 4201, 96, 27773, 8497, 121, 948, 3, 18, 204, 10, 5553, 96, 22674, 8, 23797, 13, 499, 6219, 121, 940, 3, 18, 204, 10, 3710, 96, 434, 63, 1050, 21295, 7454, 397, 121, 591, 41, 279, 35, 1191, 1109, 12188, 324, 87, 9402, 10569, 138, 61, 3, 18, 220, 10, 3707, 96, 1326, 40, 287, 15, 6, 5242, 262, 12549, 17, 15, 121, 357, 3, 18, 27078, 948, 96, 427, 10070, 13, 24462, 121, 536, 3, 18, 204, 10, 1755, 96, 279, 9, 346, 16, 5412, 7, 121, 536, 3, 18, 204, 10, 4201, 96, 188, 29, 11219, 7, 121, 536, 3, 18, 204, 10, 2445, 96, 4327, 3137, 16, 100, 947, 4463, 121, 87, 121, 13843, 31, 17, 2571, 1212, 16354, 121, 927, 3, 18, 220, 10, 5176, 96, 5110, 2482, 4967, 121, 755, 41, 9402, 10569, 138, 61, 3, 18, 27078, 536, 96, 382, 31, 15, 7, 330, 73, 4538, 121, 13308, 12282, 94, 31, 7, 2900, 21, 148, 12, 1263, 8512, 591, 3, 18, 204, 10, 3436, 96, 634, 17700, 7, 13, 16397, 4500, 121, 591, 3, 18, 209, 10, 3166, 96, 634, 5126, 121, 948, 41, 427, 26, 1443, 348, 61, 3, 18, 220, 10, 1828, 209, 3, 18, 1029, 94, 31, 7, 499, 5994, 55, 204, 3, 18, 1029, 1404, 3, 9, 11705, 220, 3, 18, 1029, 5258, 10707, 10792, 11, 10792, 314, 3, 18, 1029, 3655, 3, 184, 23705, 3, 184, 25870, 2242, 305, 3, 18, 1029, 27, 31, 51, 350, 15822, 493, 3, 9, 6993, 11874, 7204 ]

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

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

[ 431, 3, 18, 1029, 802, 18497, 10872, 489, 3, 18, 597, 28843, 30, 2306, 117, 272, 18, 1583, 13, 712, 96, 196, 31, 51, 350, 15822, 493, 3, 9, 6993, 11874, 7204, 121, 505, 3, 18, 3, 22769, 73, 21019, 26, 17881, 7, 4708, 20334, 2788, 15, 18, 25565, 14234, 16135, 7, 2546, 57, 932, 29, 986, 24421, 17961, 4016, 8046, 14234, 4480, 11010, 11547, 23436, 14234, 1, 37, 7112, 2482, 16492, 42, 7112, 2482, 205, 1257, 19, 3, 9, 740, 16, 23888, 896, 6, 16, 7518, 23888, 6, 94, 19, 1069, 44, 8, 13350, 414, 13, 8, 3399, 3, 26, 31, 23823, 15, 7, 6, 16, 8, 5441, 2069, 15626, 7205, 15, 2893, 13, 8, 690, 5, 5528, 461, 3, 9, 353, 213, 132, 141, 3150, 118, 3, 9, 740, 3855, 38, 3, 9, 7112, 2482, 4996, 2229, 52, 2378, 68, 84, 2031, 629, 26, 3, 9, 2062, 57, 8, 564, 13, 1821, 51, 3796, 154, 7059, 35, 6, 8, 690, 1500, 12, 6774, 3, 9, 1907, 6601, 740, 5, 37, 408, 2259, 3759, 16, 957, 4305, 47, 751, 16, 957, 6348, 57, 11867, 11, 1838, 9259, 2406, 6, 3, 9, 2353, 11, 520, 372, 5, 37, 3602, 708, 12, 888, 139, 8, 3, 29, 15, 32, 18, 1047, 32, 835, 740, 16, 957, 4198, 68, 8, 2314, 3, 30634, 47, 16, 26923, 5, 461, 8, 851, 6, 756, 8, 16940, 6, 19, 3, 9, 9030, 2187, 9850, 53, 8, 3, 29050, 13, 8, 690, 13382, 12, 23888, 896, 16, 586, 3628, 5, 37, 740, 6523, 8, 2243, 13, 6923, 13, 8, 1611, 638, 138, 11, 6349, 3092, 6, 84, 47, 2127, 16, 23888, 16, 23744, 6, 552, 17185, 5, 94, 47, 261, 38, 8, 5669, 13, 452, 3507, 7, 13, 8, 1614, 552, 3, 9, 72, 3574, 5669, 228, 36, 435, 6, 7096, 7, 17, 119, 161, 47, 4468, 44, 8, 8850, 2964, 76, 3478, 6, 16, 8, 16492, 1061, 5, 4582, 6503, 11, 460, 2658, 6, 788, 12, 9076, 3, 16068, 57, 8, 2847, 7765, 308, 4481, 2131, 221, 3113, 6, 8, 7112, 2482, 16492, 1632, 8, 1338, 286, 13, 8, 9572, 13, 374, 2562, 725, 5, 31918, 11, 3, 60, 8751, 53, 86, 3581, 6, 3452, 9823, 11, 8916, 161, 47, 4006, 91, 30, 8, 7112, 2482, 16, 455, 12, 3343, 34, 139, 3, 9, 8346, 11, 4473, 2050, 5, 37, 161, 47, 2012, 16, 1186, 2722, 1260, 59, 163, 15220, 7, 12, 8, 15940, 24364, 11, 8, 4452, 7975, 68, 92, 12, 8, 25974, 6, 84, 54, 230, 629, 4473, 7, 6, 11, 8, 1798, 13871, 6, 230, 8, 8486, 1501, 6, 213, 662, 2801, 607, 3, 9, 126, 2542, 2050, 5, 94, 808, 30, 8, 564, 7112, 2482, 18, 254, 1257, 227, 46, 12487, 740, 30, 8, 353, 13, 8, 1798, 16548, 154, 205, 1257, 47, 2895, 12, 8, 7112, 2482, 57, 598, 13, 3, 9, 4716, 147, 8, 2770, 15, 5945, 343, 60, 16, 455, 12, 4405, 8, 7112, 2482, 31, 7, 2465, 5, 17881, 7, 5450, 7, 11, 5278, 16, 23888, 896, 1386, 32 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 835, 6342, 23, 2165, 4648, 1611, 638, 138, 11, 6349, 3092, 3141, 3950, 2012, 16, 957, 4198, 14706, 13, 23888, 11347, 11441, 16, 23888, 1, 100, 19, 3, 9, 570, 13, 14538, 2797, 11, 151, 113, 43, 5233, 7, 16, 8, 5224, 40, 88, 17, 6022, 13, 19039, 11, 8, 1386, 1639, 3460, 13, 8, 2557, 538, 13, 282, 7, 265, 5, 100, 570, 92, 963, 2390, 19039, 159, 6, 19039, 23, 5452, 6, 19039, 23, 4151, 7, 6, 11, 119, 529, 18, 15704, 20008, 159, 113, 43, 5233, 7, 16, 15993, 5224, 40, 88, 17, 5, 37, 151, 164, 92, 36, 801, 38, 5224, 40, 88, 17, 23, 5, 1983, 30177, 11, 1137, 20140, 7, 28508, 283, 1598, 17, 9, 12594, 6, 2705, 23, 152, 29717, 15, 26, 16, 8, 19039, 12774, 257, 1602, 901, 10309, 5429, 6, 6291, 15885, 10416, 26313, 57, 386, 12357, 7, 16, 3, 9, 3, 3738, 23, 1427, 10280, 26, 3211, 30, 314, 932, 14834, 5, 389, 76, 26, 900, 23, 8832, 152, 16332, 21148, 1208, 9, 6, 3819, 7177, 52, 29717, 15, 26, 16, 8, 19039, 12774, 257, 1602, 5267, 3643, 9669, 4331, 17, 63, 6, 1827, 20622, 6, 7634, 6, 1798, 1827, 2090, 13, 8, 5287, 19702, 277, 31, 11529, 11, 6005, 13, 37, 8496, 31136, 5, 23858, 7, 9, 1135, 970, 17, 17, 6, 7174, 13, 8, 3497, 17, 1836, 1665, 2426, 21520, 144, 2194, 485, 644, 6, 283, 1598, 17, 23, 2659, 2907, 23, 1144, 4792, 16, 8, 19039, 12774, 257, 1602, 2209, 4470, 272, 16775, 6, 4333, 14248, 11, 2829, 3102, 16, 8, 19039, 12774, 257, 1602, 8329, 138, 9, 16332, 21148, 1208, 9, 6, 1236, 29717, 15, 26, 16, 8, 20008, 23, 10509, 19954, 13, 8, 1386, 1639, 3460, 5531, 521, 15875, 6, 5139, 49, 11, 24694, 19401, 7, 2618, 1533, 9, 16453, 8019, 6, 2335, 2166, 20622, 11, 294, 13, 8, 20008, 23, 1612, 2426, 2770, 2370, 22928, 6, 3977, 16, 19729, 106, 2501, 10653, 20, 9174, 2050, 365, 3, 23862, 19825, 4616, 5, 13547, 77, 3515, 12402, 3515, 4826, 6, 1236, 29717, 15, 26, 16, 8, 20008, 23, 10509, 19954, 13, 8, 1386, 1639, 3460, 23518, 7, 76, 26, 2644, 22928, 6, 1035, 2472, 29717, 15, 26, 16, 8, 19039, 12774, 257, 1602, 180, 8489, 173, 4892, 6, 29717, 15, 26, 16, 8, 2557, 12315, 2426, 1923, 10293, 77, 23, 644, 6, 569, 10416, 11, 20622, 180, 10093, 9, 19669, 291, 5185, 76, 6, 2335, 2166, 20622, 11, 294, 13, 8, 20008, 23, 1612, 2426, 6226, 4143, 9, 12877, 3114, 205, 4067, 26, 10666, 63, 6, 2335, 2166, 20622, 11, 294, 13, 8, 20008, 23, 1612, 2426, 1261, 11, 408, 309, 107, 14446, 9, 1122, 107, 6, 1189, 2377, 11, 4346, 446, 138, 138, 28770, 6, 2753, 13, 8, 2548, 13, 3, 16768, 7, 19039, 6, 6444, 18, 102, 15704, 13, 8, 21260, 2125, 13, 3, 16768, 7, 1138, 23, 348, 2133, 9, 107, 6, 10900, 11, 7693, 4378, 6, 876, 80, 13, 8, 192, 23978, 18681, 757, 10579, 21, 8, 1673, 5550, 17793, 5, 1769, 11, 681 ]

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 28508, 325, 17, 99, 6, 2390, 20814, 6408, 801, 21, 112, 4419, 96, 254, 450, 651, 11419, 1280, 71, 63, 76, 115, 5429, 3226, 6, 7174, 13, 8, 19669, 446, 138, 138, 6233, 16, 1524, 84, 1632, 3, 9, 7801, 21, 8, 2390, 6578, 573, 5, 2659, 354, 40, 32, 127, 9053, 11740, 283, 10059, 6, 268, 348, 11, 1798, 2753, 13, 8, 19039, 3431, 49, 277, 2125, 1270, 5, 695, 265, 5429, 6, 7174, 13, 8, 2390, 26335, 6580, 6, 25727, 1769, 8336, 11, 27, 106, 1424, 1699, 172, 109, 4498, 152, 71, 4143, 3, 23405, 9306, 3, 104, 7174, 13, 8, 296, 31, 7, 2015, 529, 18, 18984, 5102, 6, 272, 22034, 4452, 63, 4099, 6285, 76, 26, 10666, 63, 283, 10059, 3, 104, 1769, 348, 6, 573, 20622, 11, 11636, 13, 16504, 11, 10805, 29022, 7, 7676, 262, 4497, 2063, 5, 27, 1824, 3849, 22928, 411, 10059, 3, 104, 26696, 11, 4071, 13, 3319, 3920, 1531, 5, 86, 3581, 6, 3, 88, 1632, 8, 2030, 2390, 19039, 23, 12, 1451, 30, 8, 1771, 5324, 10825, 6792, 41, 19279, 44, 381, 11696, 13883, 216, 65, 3, 9, 3134, 1494, 13, 26433, 770, 5, 2549, 312, 32, 27461, 6, 2198, 2913, 343, 11, 13404, 13, 8, 325, 157, 7, 107, 51, 23, 5319, 7, 9, 26, 3545, 8555, 15, 15, 7566, 26, 1162, 446, 138, 173, 6, 7174, 13, 9916, 180, 6, 2527, 13, 10131, 9134, 2040, 1531, 11, 1424, 915, 49, 5, 1534, 51, 202, 205, 4067, 26, 10666, 63, 3, 104, 1769, 348, 6, 11, 7174, 11, 576, 18, 25982, 13, 1524, 16418, 5, 86, 1412, 6, 8, 349, 47, 5539, 3, 9, 5286, 31, 7, 3677, 21, 8526, 21, 1331, 6550, 16, 5786, 13, 165, 993, 16, 1085, 5, 4159, 1169, 51, 22928, 3, 18, 26696, 113, 1632, 8, 166, 19039, 23, 770, 2378, 44, 8, 1246, 13, 2208, 788, 12, 6558, 2420, 16, 8175, 6, 1111, 6, 3, 9, 3741, 13, 3661, 28, 8, 14022, 1823, 172, 563, 6, 9002, 11, 785, 606, 5, 22939, 23, 115, 5429, 3, 104, 9199, 343, 6, 11200, 2198, 18, 14925, 49, 6, 3472, 343, 6, 3, 18118, 152, 8514, 102, 343, 11, 2137, 49, 113, 65, 3, 9, 3134, 1494, 13, 26433, 770, 5, 19669, 28508, 20821, 23, 26, 2415, 60, 5605, 6, 166, 5224, 40, 88, 17, 23, 12, 539, 3, 9, 2062, 16, 8, 907, 6524, 451, 4941, 13674, 7, 9, 77, 3, 18, 3, 19145, 13, 2430, 3139, 7, 41, 15787, 61, 180, 10093, 22928, 3, 18, 25833, 17, 15, 30, 9938, 2669, 4390, 2486, 37, 31183, 180, 10093, 2415, 3515, 2520, 521, 107, 8821, 2046, 6, 7174, 13, 1290, 83, 2099, 115, 9, 7061, 1290, 1483, 11374, 71, 354, 348, 96, 3696, 635, 63, 121, 2133, 9, 107, 283, 10059, 3, 104, 26071, 485, 6380, 11, 20814, 6408, 5, 86, 9957, 6, 3, 88, 5710, 8, 2557, 8528, 13, 8, 2929, 15571, 5, 8586, 23, 2067, 7, 291, 412, 26, 2644, 283, 10059, 3, 104, 26696, 6, 20814, 6408, 6, 573, 2488, 11, 11636, 13, 8 ]

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

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

[ 19039, 18, 279, 13224, 7, 107, 9572, 13, 12949, 5, 2855, 11, 13554, 736, 77, 83, 1546, 835, 283, 10059, 6, 7177, 52, 44, 2540, 16331, 7, 6, 636, 13, 1524, 6, 4346, 17416, 77, 26, 9, 12402, 3515, 374, 208, 6, 5589, 13, 26597, 44, 8, 636, 13, 309, 15416, 9, 38, 7, 6500, 29, 920, 44, 8, 3, 26558, 13, 8, 19039, 12774, 257, 1602, 57, 8, 6697, 6788, 5, 480, 283, 2659, 3272, 83, 10172, 6, 12738, 13, 8, 2557, 2548, 13, 2159, 2209, 2009, 450, 1534, 51, 202, 491, 18, 329, 9, 107, 10309, 6, 3, 88, 4665, 9290, 283, 5, 71, 5, 9053, 11740, 6, 166, 8236, 18, 8694, 8725, 127, 13, 19039, 636, 13, 5623, 11, 3669, 1290, 1483, 11374, 486, 9, 83, 4556, 603, 6, 749, 208, 3481, 11, 5408, 8236, 3, 26767, 13, 8, 636, 13, 9777, 1920, 17, 11975, 4159, 1483, 2726, 4904, 5544, 27, 1824, 3849, 6, 3, 6941, 7, 447, 343, 6, 4346, 11, 6710, 343, 1823, 354, 51, 9, 205, 4067, 26, 10666, 63, 6, 7174, 13, 8, 4047, 11, 350, 3868, 6536, 3066, 16, 8, 636, 13, 309, 15416, 9, 6, 17013, 12, 2686, 4914, 52, 3141, 13, 19039, 10037, 83, 10172, 1823, 11740, 6, 1798, 2855, 3271, 13, 19039, 10037, 202, 8607, 291, 1699, 3524, 9, 10129, 440, 6, 819, 13, 2576, 18999, 3929, 16216, 6427, 44, 8, 3, 28257, 17190, 4457, 41, 308, 15416, 9, 61, 10683, 348, 9, 189, 16332, 21148, 1208, 9, 19575, 63, 9, 8653, 32, 26, 6, 5812, 44, 19502, 636, 2180, 6071, 3504, 159, 6, 2392, 2726, 1950, 2056, 5812, 44, 374, 5788, 1161, 17, 636, 22939, 23, 115, 5429, 6, 7174, 13, 22798, 636, 6, 446, 138, 138, 9, 5514, 22939, 23, 115, 18, 448, 9, 346, 63, 9, 3721, 1888, 11, 8, 636, 13, 3826, 5824, 18875, 17237, 2644, 22928, 205, 4067, 26, 10666, 63, 6, 3, 6941, 7, 447, 343, 11, 6444, 18, 8694, 8725, 127, 13, 19669, 1191, 40, 138, 636, 13, 2854, 11, 3669, 11, 5224, 40, 88, 17, 1331, 636, 1138, 7, 5979, 9, 12402, 3515, 16332, 21148, 1208, 63, 9, 6, 793, 556, 3, 6482, 343, 11, 2090, 13, 1491, 7, 15, 2548, 6, 29373, 3926, 89, 23, 22928, 6, 12177, 11, 3, 12290, 9010, 2618, 7, 76, 309, 14748, 20821, 440, 3439, 6, 3, 6941, 7, 447, 343, 11, 6040, 1144, 13, 8, 2557, 2548, 13, 3669, 12877, 6151, 3791, 3068, 26, 1665, 1290, 2618, 644, 6, 7174, 3218, 13, 3104, 3044, 17, 9, 868, 3721, 1888, 180, 10093, 1534, 20547, 6486, 10172, 6, 6800, 6, 4346, 6, 1798, 5812, 13, 309, 15416, 9, 636, 868, 5589, 7, 13, 19039, 28508, 1534, 8654, 6, 22965, 9, 26, 972, 41, 52, 17, 26, 5, 201, 7174, 13, 868, 6219, 2941, 374, 3877, 1290, 1483, 11374, 12611, 52, 9, 89, 6, 3145, 6, 2291, 6, 24694, 11340, 173, 450, 18100, 9, 6285, 76, 26, 10666, 63, 6, 6444, 18, 8694, 8725, 127, 13, 636, 13, 3826, 5824, 6, 17013, 12, 2686, 4914, 52, 3141, 13, 19039 ]

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

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

[ 12612, 138, 138, 4892, 6, 2705, 23, 152, 11, 4346, 19669, 521, 12877, 17, 202, 6, 3, 28626, 15, 3929, 23, 152, 11, 3, 122, 63, 29, 15, 75, 9290, 262, 12036, 343, 7, 891, 83, 1534, 138, 28508, 4159, 10536, 107, 6, 1798, 7679, 3271, 13, 19039, 272, 5, 272, 5, 16332, 21148, 1208, 9, 6, 5812, 11, 2578, 13, 8, 2548, 13, 9071, 17435, 16, 10619, 26276, 5186, 9, 14279, 26, 2644, 6, 489, 189, 10510, 13, 19039, 1925, 6, 7174, 13, 1932, 1244, 636, 1363, 10270, 309, 14748, 20264, 26, 107, 459, 6, 13605, 20163, 6, 2705, 11, 5812, 13, 8, 10619, 1121, 13, 17157, 1138, 99, 450, 20492, 348, 6, 14783, 3122, 7679, 3271, 13, 19039, 11, 3, 9, 2488, 13, 272, 9082, 19669, 71, 283, 180, 4320, 2160, 9, 6, 20163, 6, 23661, 11, 1798, 4297, 15852, 13, 8, 907, 9638, 31, 3, 3205, 16986, 451, 1744, 89, 17, 9, 21200, 107, 17, 20264, 26, 107, 459, 6, 314, 189, 10510, 13, 19039, 1925, 12694, 1980, 29, 152, 5186, 76, 835, 6, 7556, 6, 915, 49, 6, 825, 11, 5343, 52, 71, 89, 7, 2618, 12611, 9, 26, 6, 15676, 200, 801, 21, 8, 1075, 13, 10683, 51, 9, 5192, 173, 16, 8929, 16023, 5429, 19669, 138, 32, 51, 6, 27870, 11, 4390, 915, 49, 12611, 603, 6, 7556, 200, 801, 21, 8, 1075, 13, 20492, 603, 3862, 7, 1024, 107, 16, 391, 413, 3478, 3, 27915, 107, 3198, 3643, 9669, 6693, 17, 63, 6, 8516, 6794, 11, 7556, 216, 40, 138, 14420, 6, 814, 7556, 11, 8211, 27, 7, 521, 107, 891, 13629, 18, 448, 9, 107, 348, 6, 814, 2090, 6, 7556, 11, 1641, 12756, 12877, 1361, 6285, 76, 26, 10666, 63, 6, 8516, 6794, 11, 2377, 12877, 40, 173, 10150, 521, 107, 14420, 6, 814, 11, 1424, 7556, 1571, 7066, 9, 205, 4067, 26, 10666, 63, 6, 3, 9, 12587, 543, 288, 3, 19801, 16, 8, 907, 1323, 1823, 26, 23, 63, 9, 13674, 7, 9, 77, 6, 6710, 343, 6, 6380, 6, 2291, 11, 1424, 6794, 200, 801, 21, 3447, 8, 6506, 2259, 37, 1651, 2390, 15512, 4395, 2504, 2002, 7066, 4826, 6, 577, 210, 3535, 6, 2090, 11, 16072, 1144, 13, 16327, 9, 63, 7772, 725, 13016, 2618, 2922, 89, 23, 6, 814, 2090, 11, 1641, 12756, 2770, 107, 83, 736, 77, 6, 814, 2090, 5158, 348, 19669, 6, 814, 7556, 451, 89, 4288, 205, 4067, 26, 10666, 63, 6, 15676, 200, 801, 21, 8, 1075, 13, 2180, 24991, 5192, 173, 16, 8929, 16023, 7453, 7, 891, 9, 1824, 144, 23, 384, 6, 31251, 22660, 23, 384, 113, 141, 2662, 9427, 7, 16, 5224, 40, 88, 17, 1534, 83, 2099, 384, 13, 446, 155, 76, 2133, 9, 107, 6, 451, 19030, 122, 547, 6, 5224, 40, 88, 17, 1511, 22839, 440, 3439, 7, 13, 5224, 40, 88, 17, 6, 1823, 210, 14623, 11, 1593, 9, 9875, 32, 107, 13, 1386, 7, 3828, 9, 87, 517, 127, 1259, 291, 87, 329, 9, 19001, 26, 1665, 6, 5224, 40, 88, 17, 4826, 384, 6 ]

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

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

[ 3, 9, 1798, 12346, 384, 13, 4266, 3441, 157, 2894, 9, 6, 17790, 23, 115, 9, 7061, 1823, 210, 14623, 13, 3, 7855, 17, 10813, 3968, 9, 6, 5710, 57, 1138, 29392, 8930, 3357, 27, 7, 89, 9, 2618, 23, 1138, 60, 1824, 9, 440, 6, 123, 7, 235, 8603, 7, 13, 19669, 446, 138, 138, 31, 7, 649, 122, 9, 107, 1561, 6, 5710, 57, 454, 17815, 6214, 7, 76, 89, 4904, 1109, 3439, 7, 13, 4540, 23, 547, 23, 6, 5710, 57, 19669, 446, 138, 138, 31, 7, 9663, 6, 19669, 5648, 603, 3, 9, 26, 18, 308, 77, 31931, 4588, 9, 89, 13674, 9, 77, 6, 209, 7, 17, 6005, 18, 77, 18, 20053, 13, 6697, 31, 7, 10043, 6, 1374, 11, 167, 5456, 608, 1566, 18, 24925, 8468, 6, 21903, 11, 1798, 9036, 3271, 13, 6697, 4498, 77, 9, 8822, 17, 9, 172, 6, 1798, 2785, 5502, 21, 8, 12394, 13, 1524, 4498, 7, 152, 19669, 52, 23, 291, 6, 9994, 312, 29, 77, 17980, 23, 6, 2991, 1144, 13, 8, 19039, 5716, 3559, 343, 7, 2125, 2403, 172, 3877, 13674, 7, 9, 77, 6, 1424, 915, 49, 6, 3, 18118, 152, 8514, 102, 343, 6, 20386, 3052, 10416, 6, 1207, 52, 5805, 11, 1798, 4071, 13, 3699, 12090, 5313, 2403, 172, 3877, 9, 4498, 152, 6, 4917, 6, 14953, 13, 8, 13706, 11, 4668, 13, 8, 2540, 348, 9185, 11329, 11, 4425, 106, 6611, 8735, 8735, 3677, 8930, 107, 6285, 76, 26, 10666, 63, 6, 6005, 13, 22297, 272, 13668, 23518, 603, 205, 4067, 26, 10666, 63, 6, 1424, 11, 2281, 9994, 21, 901, 2215, 776, 1498, 1566, 8627, 10614, 1546, 7, 7, 9, 77, 14420, 6, 6005, 13, 6697, 5324, 11, 8, 7345, 3529, 7038, 5, 180, 10093, 1290, 1483, 11374, 5429, 6, 7174, 13, 37, 8496, 2042, 3, 18, 8, 2015, 3, 30715, 1444, 1566, 18, 24925, 8468, 16, 19039, 5, 180, 10093, 22885, 9, 7, 6156, 1024, 6, 9994, 11, 6005, 13, 3049, 32, 8888, 11, 26335, 2330, 16118, 9629, 13674, 7, 9, 77, 6, 9994, 11, 6878, 49, 5, 978, 12481, 1371, 31, 7, 6698, 7771, 751, 46, 2760, 21, 8, 1150, 31, 7, 1648, 28789, 2350, 44, 8, 5825, 9089, 5061, 2350, 7, 6580, 5, 11281, 28508, 6698, 6111, 8781, 6, 6297, 11, 24694, 11595, 10199, 4823, 107, 521, 1824, 6285, 76, 26, 10666, 63, 6, 166, 10148, 44, 8, 2390, 1592, 2243, 13, 6923, 27, 1536, 15, 14420, 6, 17353, 7471, 2146, 13, 736, 29, 222, 63, 1331, 6, 2578, 18, 20857, 13, 8, 1331, 2958, 2402, 9139, 12877, 17, 202, 25969, 29, 2551, 6, 5191, 11, 166, 529, 18, 13698, 12, 36, 8160, 12, 8, 3712, 2402, 1386, 2125, 3201, 5, 86, 3581, 6, 255, 47, 7817, 38, 3, 9, 11392, 49, 13, 8, 15633, 6, 84, 263, 160, 8, 163, 568, 13, 19039, 23, 5233, 16, 3, 9, 2991, 3, 18810, 1102, 5, 13550, 11740, 5429, 6, 11223, 15019, 15, 891, 13629, 10898, 89, 6285, 76, 26, 10666, 63, 6, 4346, 71, 4143, 20264, 26, 10666, 63, 6, 19039 ]

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

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

[ 23, 18, 31971, 29, 6472, 343, 11, 2056, 4346, 14217, 63, 76, 17, 7435, 152, 6285, 76, 26, 10666, 63, 6, 4346, 11, 18637, 1533, 2047, 348, 26, 5429, 6, 166, 20008, 23, 10148, 3714, 343, 71, 4312, 23400, 12402, 26, 9, 6, 4333, 14248, 6, 569, 10416, 6, 4346, 11, 6005, 13, 8, 25969, 17, 1639, 282, 13039, 127, 5429, 6, 4346, 11, 18658, 13, 5224, 40, 88, 17, 23, 12702, 6678, 7153, 52, 9, 89, 13674, 7, 9, 77, 6, 11603, 6, 4346, 6, 18658, 13, 12702, 6678, 205, 4067, 26, 10666, 63, 350, 83, 265, 4823, 1047, 6, 4346, 11, 12501, 13, 20008, 23, 12702, 6678, 21, 8, 19330, 521, 4702, 309, 173, 2910, 14420, 6, 11603, 801, 38, 1263, 3114, 152, 302, 760, 480, 6690, 41, 345, 32, 15, 17, 13, 8, 3294, 151, 61, 309, 210, 23, 354, 35, 30405, 6, 793, 343, 11, 2056, 4346, 23858, 7, 9, 1135, 970, 17, 17, 6, 12702, 322, 343, 4498, 106, 13509, 9, 6, 3519, 7, 929, 40, 11, 4346, 13, 3, 31225, 3605, 31368, 5429, 332, 3198, 29, 9, 6, 11603, 6, 11117, 24662, 11, 20622, 27, 7, 1963, 901, 265, 6, 4575, 1259, 11603, 11, 20622, 4159, 89, 17, 23, 10037, 202, 655, 9, 12877, 17, 202, 6, 4346, 6, 2705, 6, 11, 14761, 152, 343, 24726, 1290, 354, 5171, 14420, 6, 529, 18, 18011, 4346, 200, 801, 21, 37, 10148, 910, 24726, 10037, 83, 1626, 835, 6, 2779, 20622, 6, 569, 10416, 11, 4346, 18875, 15, 1824, 5429, 6, 4346, 6, 11603, 11, 5191, 200, 801, 21, 8, 5648, 144, 18, 202, 18, 567, 15975, 474, 107, 23, 3926, 11740, 9, 20492, 348, 6, 2291, 11, 14859, 180, 10093, 4159, 354, 10309, 9, 5429, 6, 2291, 6, 9994, 6, 1111, 26160, 6, 2705, 23, 152, 6, 24662, 11, 3, 697, 76, 343, 5, 180, 10093, 8054, 17, 5246, 5429, 6, 4346, 11, 18637, 180, 10093, 23421, 3862, 7, 1024, 107, 6, 25518, 18, 24925, 4346, 180, 10093, 8279, 2618, 3, 9, 26, 18, 308, 77, 6, 9443, 25518, 18, 24925, 4346, 180, 10093, 19669, 27, 7, 12977, 6, 1702, 12, 36, 5224, 40, 88, 17, 31, 7, 166, 2291, 180, 10093, 30356, 6, 2832, 8, 166, 23416, 447, 25705, 16, 20008, 23, 16, 898, 189, 2646, 17190, 389, 2910, 83, 8822, 35, 6, 879, 5502, 4106, 53, 1003, 189, 28405, 651, 6022, 282, 6111, 412, 26, 2644, 6, 779, 879, 11, 20850, 12, 28819, 11, 27796, 4498, 152, 6664, 107, 107, 76, 26, 205, 4067, 26, 10666, 63, 6, 850, 189, 5116, 13, 6788, 10071, 13, 8, 19039, 6788, 27, 7, 1963, 5186, 76, 835, 205, 4067, 26, 10666, 63, 6, 9739, 18, 77, 18, 20053, 13, 8, 19039, 6788, 19330, 9, 8781, 283, 5, 71, 5, 350, 5, 411, 7, 348, 23, 6, 8531, 24934, 13, 8, 283, 1598, 17, 23, 2659, 2907, 23, 8555, 3007, 115, 5429, 14420, 6, 19039, 10662, 4091, 10407, 138, 11, 8, 5116, 13, 26187, 10071, 8555, 11557, 450, 20492, 348, 20821, 440, 3439, 6, 19039, 6788, 6397, 12581, 26 ]

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

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

[ 972, 6, 3, 14034, 8, 167, 2991, 11655, 20008, 23, 16, 8, 6697, 6788, 1290, 1483, 11374, 891, 13629, 22730, 6, 209, 7, 17, 5116, 13, 6788, 10071, 13, 8, 19039, 6788, 6, 9236, 879, 383, 8, 19039, 12774, 257, 1602, 24726, 350, 107, 83, 265, 332, 7396, 115, 6, 19039, 31, 7, 511, 5116, 13, 1761, 10071, 10037, 83, 3455, 1824, 6, 511, 7234, 5752, 13, 19039, 10662, 9027, 2776, 17237, 9, 13, 350, 1211, 6, 3, 13973, 581, 8, 16932, 383, 8, 1193, 10952, 13, 5224, 40, 88, 17, 180, 10093, 1290, 1483, 11374, 3969, 9, 83, 1626, 835, 6, 19039, 6788, 5502, 11, 3, 14165, 23, 3268, 180, 10093, 10571, 23, 17237, 2644, 3, 104, 925, 102, 9, 107, 8930, 52, 13, 23518, 7, 76, 26, 2644, 3188, 9860, 19669, 2963, 7064, 7, 11, 21893, 7, 18106, 106, 4478, 570, 13, 2984, 10, 17423, 9, 26, 107, 210, 9, 354, 17416, 986, 2618, 6, 460, 189, 3, 1765, 13, 8, 350, 1211, 6524, 5428, 152, 13016, 6, 4550, 83, 2998, 342, 6323, 13, 350, 1211, 71, 1635, 16738, 6, 2716, 879, 11, 710, 18, 19054, 6323, 13, 272, 17475, 9, 12654, 365, 17416, 986, 2618, 2215, 23, 9776, 13016, 6, 13062, 13, 272, 17475, 9, 12654, 41, 7, 670, 760, 29, 5224, 40, 88, 17, 61, 365, 16993, 2414, 6524, 350, 1211, 17416, 77, 26, 9, 6, 804, 3, 1765, 13, 8, 350, 1211, 6524, 6, 17025, 16, 8, 1193, 10952, 13, 5224, 40, 88, 17, 2963, 9, 13016, 6, 804, 6323, 13, 350, 1211, 925, 3304, 3439, 14420, 350, 10557, 23, 6, 166, 8036, 702, 52, 13, 8642, 547, 8567, 3439, 350, 10557, 23, 6, 511, 8036, 702, 52, 13, 8642, 547, 4159, 1824, 3587, 14420, 6, 8036, 702, 52, 13, 8642, 547, 16, 968, 2445, 13495, 3589, 11740, 14420, 6, 6323, 13, 8642, 547, 6, 8520, 2724, 26942, 7, 20821, 40, 159, 901, 265, 6, 211, 2905, 13, 8642, 547, 6, 8520, 2724, 26942, 7, 9422, 2910, 14420, 6, 445, 7396, 115, 13, 5224, 40, 88, 17, 227, 2776, 210, 3272, 14420, 8208, 14420, 6, 445, 7396, 115, 11, 1593, 9, 9875, 32, 107, 13, 5224, 40, 88, 17, 2474, 9, 702, 26, 13, 5224, 40, 88, 17, 6, 1386, 32, 18, 279, 107, 76, 63, 152, 26283, 5752, 17, 9, 77, 113, 3, 16718, 147, 1117, 5224, 40, 88, 17, 24726, 1051, 23, 6, 1140, 23, 3791, 3, 12549, 17, 13495, 210, 9, 1191, 6952, 348, 6, 1386, 32, 18, 279, 107, 76, 63, 152, 26283, 5752, 17, 9, 77, 113, 3, 16718, 147, 1013, 5224, 40, 88, 17, 283, 17309, 13266, 14420, 6, 283, 14439, 138, 3, 7, 986, 291, 13, 5224, 40, 88, 17, 6, 3, 13973, 581, 186, 1386, 32, 18, 279, 3464, 63, 152, 5752, 17, 13676, 4159, 4031, 2375, 14420, 6, 283, 14439, 138, 3, 7, 986, 291, 13, 5224, 40, 88, 17, 113, 133, 865, 582, 3325, 9, 107, 3439, 13, 20008, 8208, 1639, 2659, 8399, 450, 446, 138, 2256, 6, 283, 14439, 138, 3, 7, 986, 291, 13, 5224 ]

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

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

[ 40, 88, 17, 1923, 5595, 348, 5185, 291, 7, 23, 6, 283, 14439, 138, 576, 18, 7, 986, 291, 13, 5224, 40, 88, 17, 6, 3, 21096, 147, 7518, 1467, 13, 5224, 40, 88, 17, 2318, 17, 1329, 521, 107, 4804, 7275, 23, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 45, 898, 3449, 12, 898, 4122, 27, 7, 89, 232, 23, 63, 291, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 180, 10093, 31368, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 3049, 24726, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 16256, 6589, 9, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 5186, 8399, 14420, 6, 167, 168, 18, 5661, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 18875, 15, 1824, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 86, 9, 63, 15, 2520, 521, 107, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 11, 7174, 13, 86, 144, 2565, 354, 2922, 89, 23, 83, 521, 107, 14420, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 28770, 20821, 23, 26, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 28508, 521, 107, 4804, 7275, 23, 6, 283, 14439, 138, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 11, 26942, 918, 49, 2715, 30540, 6, 314, 189, 30158, 11, 209, 7, 17, 12501, 13, 5224, 40, 88, 17, 45, 1003, 3940, 12, 1003, 2394, 17980, 291, 14420, 6, 336, 3, 89, 402, 354, 3439, 13, 5224, 40, 88, 17, 3057, 11, 2595, 901, 9, 450, 20492, 348, 6, 7634, 11, 723, 3145, 736, 77, 9, 12877, 63, 63, 265, 6, 2595, 52, 11, 15030, 19891, 2106, 26, 155, 325, 40, 644, 6, 12702, 7634, 11, 13075, 9794, 21892, 17, 1138, 1024, 6, 577, 1549, 7634, 486, 23, 10923, 20492, 348, 8555, 23, 6, 16244, 6, 7634, 11, 3, 21101, 1263, 459, 6285, 76, 26, 10666, 63, 6, 723, 3145, 5740, 5561, 6110, 7, 9, 26, 16332, 21148, 1208, 9, 6, 12702, 7634, 23065, 4164, 22115, 52, 6, 7634, 6, 8211, 11, 3, 120, 2234, 343, 6324, 14888, 348, 970, 17, 17, 9, 6, 3, 120, 2234, 343, 11, 13075, 13, 12702, 11, 1435, 3, 26, 1024, 1963, 4425, 3304, 9, 23, 644, 6, 11702, 11, 12702, 16244, 11768, 7, 2618, 2551, 2963, 23, 6, 7634, 11, 15676, 7113, 9, 325, 173, 9, 6, 577, 1549, 7634, 1051, 1924, 15, 115, 205, 4067, 26, 10666, 63, 6, 7634, 11, 9994, 19669, 28508, 4556, 603, 6, 3519, 7, 929, 40, 11, 12702, 3, 21101, 3926, 6042, 5158, 1495, 6, 7634, 11, 6263, 106, 2552, 1959, 14565, 7, 1483, 9, 644, 6, 12702, 16244, 14565, 29275, 374, 208, 6, 577, 1549, 7634, 1923, 8781, 445, 232, 23, 6 ]

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

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

[ 577, 1549, 7634, 14984, 7, 11, 789, 19039, 891, 8655, 3926, 11740, 6, 1798, 5752, 20070, 21, 19039, 71, 210, 3690, 3815, 17690, 1329, 1626, 835, 6285, 76, 26, 10666, 63, 6, 12394, 13, 5224, 40, 88, 17, 3862, 291, 412, 26, 2644, 22928, 8329, 2002, 6, 1798, 12394, 13, 5224, 40, 88, 17, 205, 5, 283, 5, 3926, 89, 23, 3084, 23, 6, 1798, 19039, 23, 23661, 1626, 22824, 22928, 22839, 440, 588, 6, 13404, 13, 19039, 1624, 31260, 3467, 6, 22057, 4288, 1925, 2086, 13, 14102, 11, 7174, 13, 23229, 7, 5515, 12410, 9, 63, 202, 9053, 11740, 6285, 76, 26, 10666, 63, 6, 1798, 5873, 13, 8, 2215, 17, 23, 63, 9, 1051, 122, 7, 9, 26, 6, 8798, 7, 17, 1661, 13, 8, 4417, 2146, 11993, 802, 23, 9, 7, 5429, 6, 3, 14878, 53, 7471, 13, 8, 19039, 868, 3450, 283, 99, 17, 9, 412, 26, 2644, 205, 4067, 26, 10666, 63, 17355, 23, 6, 6444, 18, 102, 15704, 13, 19039, 868, 343, 3450, 18, 134, 202, 265, 2565, 354, 3926, 89, 23, 2436, 52, 20492, 348, 6, 71, 5884, 13, 19039, 11340, 9, 144, 18, 15, 18, 30791, 23, 180, 10093, 4159, 9, 5271, 15, 51, 5429, 6, 2959, 313, 5502, 6, 306, 24476, 11, 1415, 23661, 5116, 6923, 7, 446, 5, 391, 5, 4159, 26, 6500, 52, 13674, 9, 77, 6, 968, 189, 5116, 6923, 13, 19039, 8555, 11557, 83, 736, 77, 6285, 76, 26, 10666, 63, 6, 850, 189, 5116, 6923, 13, 19039, 3705, 12524, 23400, 8271, 1024, 6, 1401, 7, 17, 5116, 6923, 13, 19039, 180, 10093, 71, 5, 272, 5, 8555, 11557, 1546, 7, 7, 9, 77, 6, 204, 727, 5116, 6923, 13, 19039, 4593, 28508, 1626, 1050, 15, 51, 205, 4067, 26, 10666, 63, 6, 1932, 6697, 30661, 6098, 11, 868, 11993, 28508, 20821, 23, 26, 14420, 6, 1798, 5220, 21, 11006, 12588, 354, 4949, 28508, 5708, 77, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 4949, 28508, 9810, 603, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 11006, 12588, 354, 2292, 28508, 4159, 1824, 155, 14420, 6, 1798, 5220, 21, 5224, 40, 88, 17, 3486, 28508, 2215, 115, 1047, 6, 1798, 5220, 21, 8, 5248, 12124, 109, 5224, 40, 88, 17, 13056, 6439, 4392, 28508, 1593, 9, 9288, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 891, 13629, 2922, 15, 15, 7, 6, 1932, 6697, 30661, 6098, 11, 868, 11993, 891, 13629, 20492, 603, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 15392, 325, 159, 283, 26, 5, 4159, 4517, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 11006, 12588, 354, 3486, 15392, 4904, 9288, 6, 1798, 5220, 21, 11006, 12588, 354, 3486, 891, 83, 4498, 29, 144, 283, 26, 5, 28508, 13758, 6, 1798, 1144, 13, 8, 2215, 17, 23, 63, 9, 1051, 122, 7, 9, 26, 71, 23815, 1263, 76, 1836, 412, 26, 2644, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 736, 15, 35, 9, 10129, 440, 3926, 89, 23, 1824, 6, 2472, 11, 11340 ]

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

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

[ 9, 144, 18, 15, 18, 30791, 23, 24694, 1386, 202, 15875, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 2292, 374, 3877, 1699, 4055, 16709, 23, 6, 1798, 2488, 13, 11006, 12588, 354, 2292, 309, 173, 3439, 1546, 7, 7, 9, 77, 679, 4941, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4278, 695, 9, 4115, 1626, 835, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 1699, 3524, 9, 205, 4067, 26, 10666, 63, 2180, 76, 6, 272, 9082, 24694, 16709, 23, 1290, 1483, 11374, 19669, 29, 7396, 172, 6, 5220, 21, 11006, 12588, 354, 2292, 12551, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 27, 7, 3357, 22928, 205, 4067, 26, 10666, 63, 6, 5220, 21, 11006, 12588, 354, 2292, 14988, 9, 4892, 122, 413, 17, 9, 6, 24694, 11, 2472, 12877, 40, 173, 450, 20492, 348, 205, 4067, 26, 10666, 63, 6, 5220, 21, 11006, 12588, 354, 2292, 14420, 26, 9, 2304, 28508, 1534, 8654, 6, 1798, 5220, 21, 5224, 40, 88, 17, 2292, 2318, 17, 9827, 20492, 348, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 8555, 11557, 6952, 3084, 9, 26, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 3486, 8555, 3007, 115, 5429, 6, 1798, 5220, 21, 11006, 12588, 354, 4278, 1534, 1824, 7, 32, 32, 26, 262, 115, 29, 15, 71, 702, 172, 15763, 9, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 3, 8257, 19669, 77, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 4949, 1290, 9, 5271, 15, 51, 1546, 7, 7, 9, 77, 6455, 152, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 2292, 1290, 1258, 115, 8781, 14420, 6, 5220, 21, 5224, 40, 88, 17, 4949, 1290, 107, 23, 5808, 20492, 348, 1534, 4953, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 4525, 1377, 9, 89, 9, 5429, 6, 1144, 13, 8, 19039, 22636, 295, 11993, 11, 1798, 10510, 13, 11006, 12588, 354, 1823, 354, 4115, 4498, 152, 4904, 88, 26, 6, 1798, 5220, 21, 11006, 12588, 354, 4949, 10571, 49, 20492, 348, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 3486, 11, 13404, 13, 8, 1138, 99, 450, 20492, 348, 2941, 445, 7396, 115, 5429, 891, 4883, 14420, 6, 2215, 17, 23, 63, 9, 3450, 24694, 11, 386, 18, 715, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 4949, 17562, 51, 8329, 2002, 6285, 76, 26, 10666, 63, 6, 1798, 5220, 23421, 1699, 172, 40, 450, 20492, 348, 6, 1798, 5220, 21, 3068, 265, 2565, 354, 4278, 5158, 603, 412, 26, 2644, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 3926, 89, 23, 22928, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 3486, 19669, 71, 702, 1000, 52, 20492, 348, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 18981, 9, 89, 412, 26, 2644, 13495, 3198, 52, 76, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 451, 19030, 1923, 1191, 17, 2133, 9, 6, 1798, 5220, 21, 11006, 12588, 354 ]

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

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

[ 2292, 30356, 1290, 1483, 11374, 1140, 3042, 22928, 6, 1144, 13, 2215, 17, 23, 63, 9, 1051, 122, 7, 9, 26, 11, 3150, 6444, 18, 102, 15704, 13, 309, 15416, 9, 636, 2808, 4375, 31, 3545, 180, 10093, 8555, 23, 6724, 4498, 152, 6, 1798, 5220, 21, 5224, 40, 88, 17, 10892, 180, 10093, 15666, 6724, 1546, 7, 7, 9, 77, 6, 1798, 5220, 21, 5224, 40, 88, 17, 5783, 180, 10093, 9, 180, 2256, 9, 1290, 107, 7, 77, 6, 1798, 5220, 21, 1290, 83, 2099, 115, 9, 7061, 3486, 4701, 107, 63, 9, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4949, 3271, 7, 28508, 1626, 835, 6, 1798, 2216, 6863, 11, 18490, 7, 3271, 28508, 6362, 152, 6, 3271, 13, 9557, 891, 8655, 3084, 9, 26, 12611, 9, 26, 6, 1798, 11957, 3271, 13, 19039, 3, 12396, 28508, 8822, 35, 6, 3271, 13, 11957, 12078, 695, 9, 4115, 1626, 835, 1377, 9, 89, 9, 3926, 11740, 6, 1798, 3271, 13, 2730, 30132, 1318, 2002, 28770, 6, 3271, 13, 3, 12882, 9, 1788, 6203, 31, 30132, 11, 2035, 7, 15, 9, 7, 20512, 283, 1598, 107, 109, 3042, 20492, 348, 205, 4067, 26, 10666, 63, 6, 1798, 3, 21021, 4901, 12, 1661, 27, 9, 14312, 2644, 22928, 23518, 7, 760, 283, 5, 205, 4067, 26, 10666, 63, 6, 19039, 23, 23661, 11, 1798, 15852, 13, 8, 7849, 13, 11957, 12078, 3926, 6111, 412, 26, 2644, 6, 3271, 13, 13706, 6, 6944, 11, 15772, 5968, 3705, 152, 13272, 4892, 122, 413, 17, 9, 6, 1798, 3271, 13, 18025, 7, 180, 10093, 1290, 107, 7, 77, 5429, 6, 1798, 3271, 13, 2730, 30132, 2067, 210, 89, 23, 1824, 18, 15, 18, 10991, 9, 107, 23, 205, 4067, 26, 10666, 63, 6, 827, 17013, 12, 8, 5923, 3271, 13, 19039, 2922, 7420, 9, 480, 205, 4067, 26, 10666, 63, 6, 2329, 11, 3294, 1073, 17013, 12, 8, 2686, 4914, 52, 3141, 2237, 57, 377, 18965, 17237, 2644, 22928, 2390, 1547, 28508, 5708, 6856, 22839, 440, 3439, 6, 4333, 14248, 11, 1827, 2488, 801, 21, 3, 19513, 8, 1386, 1639, 3460, 16, 1547, 2106, 3180, 12402, 3515, 4826, 6, 2557, 1157, 343, 6, 80, 1025, 13, 8, 325, 40, 4011, 4826, 3, 17, 11879, 5771, 342, 445, 7396, 115, 5429, 13758, 588, 14420, 6, 668, 189, 445, 7396, 115, 13, 3230, 521, 6, 6323, 11, 2488, 13, 8, 14092, 10148, 3450, 180, 10093, 28508, 20821, 23, 26, 205, 5091, 6, 166, 4262, 6323, 13, 282, 7, 265, 6, 11200, 13, 8, 10687, 681, 6697, 28508, 1626, 6983, 6, 2855, 3271, 13, 282, 7, 265, 11, 865, 1932, 20008, 28508, 1546, 835, 6, 24694, 6, 6297, 11, 4333, 14248, 1290, 83, 2099, 891, 8655, 8930, 51, 6, 19764, 3271, 13, 1932, 20008, 28508, 12877, 109, 835, 22928, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 28508, 5708, 77, 20264, 26, 107, 1208, 6, 1144, 13, 8, 209, 7, 17, 868, 11993, 13, 6697, 11, 6697, 31, 7, 166, 3271, 13, 16943, 28508, 283, 14016, 1169, 51, 20264 ]

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

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

[ 26, 10666, 63, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 71, 89, 10309, 5429, 6, 7174, 13, 432, 18, 22126, 3319, 904, 31, 7, 14828, 11, 6444, 18, 102, 15704, 13, 432, 18, 22126, 6550, 3545, 4442, 71, 354, 1982, 5429, 6, 1144, 13, 8, 314, 189, 868, 11993, 13, 6697, 4823, 12687, 23400, 644, 6, 1144, 13, 8, 209, 7, 17, 868, 11993, 13, 6697, 6653, 288, 9, 23400, 644, 6, 1144, 13, 8, 204, 727, 868, 11993, 13, 6697, 10129, 440, 5631, 9, 6959, 655, 9, 6285, 76, 26, 10666, 63, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 8555, 11557, 5429, 6, 14179, 19954, 2488, 6, 2315, 348, 1290, 1483, 11374, 10703, 9, 3357, 5429, 6, 3, 12290, 6, 3, 18118, 152, 8514, 102, 343, 11, 24694, 6887, 1024, 11740, 28770, 2474, 4624, 459, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 31368, 5429, 332, 3198, 29, 9, 6, 11603, 6, 11117, 24662, 11, 20622, 4159, 9, 19485, 51, 22928, 6285, 76, 26, 10666, 63, 6, 1144, 13, 8, 314, 189, 868, 11993, 13, 6697, 24726, 736, 77, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 8054, 17, 5246, 22023, 9, 6285, 76, 26, 107, 651, 6, 1144, 13, 8, 209, 7, 17, 868, 11993, 13, 6697, 1138, 99, 83, 901, 32, 51, 6, 1144, 13, 8, 1932, 20008, 17357, 7, 40, 1528, 11993, 1593, 265, 8863, 9710, 7, 152, 6, 1144, 13, 8, 220, 52, 26, 868, 11993, 13, 6697, 1547, 28508, 9810, 603, 6285, 76, 26, 10666, 63, 6, 1798, 283, 4569, 13, 4556, 603, 2565, 354, 1013, 71, 5, 377, 5, 1263, 40, 265, 411, 7, 348, 23, 6, 2557, 868, 4442, 1144, 71, 1635, 12402, 26, 2215, 77, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 389, 2910, 13674, 7, 9, 77, 7263, 4031, 6, 432, 1547, 907, 10021, 7383, 24694, 282, 6111, 412, 26, 2644, 6, 1144, 13, 8, 1140, 23, 3791, 17357, 7, 40, 1528, 11993, 486, 9, 450, 20492, 348, 22839, 291, 115, 3464, 63, 9, 6, 432, 1547, 907, 10021, 7383, 24694, 12611, 9, 26, 4904, 348, 6, 1144, 13, 8, 1212, 122, 107, 22858, 17357, 7, 40, 1528, 11993, 71, 702, 172, 22928, 14420, 6, 1798, 283, 4569, 13, 4556, 603, 2565, 354, 1013, 2106, 1927, 63, 2148, 9, 4031, 6, 283, 4569, 13, 6455, 9, 1047, 23, 2695, 17, 17, 12524, 1823, 189, 22839, 440, 588, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 2043, 7446, 23400, 1838, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 309, 2910, 1258, 1823, 189, 644, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 1626, 702, 5158, 603, 412, 26, 2644, 11038, 3464, 63, 9, 6, 283, 4569, 13, 1626, 173, 1639, 232, 23, 20716, 77, 3515, 7333, 18075, 9, 7, 189, 9, 6, 2991, 2488, 13, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 16, 282, 7, 265, 5740, 23, 15039, 7066, 9794, 6, 16332, 9 ]

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

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

[ 6850, 63, 9, 3049, 144, 9, 3450, 24694, 8329, 138, 18965, 63, 9, 374, 63, 7333, 18075, 9, 7, 189, 9, 6, 1798, 283, 4569, 13, 4556, 603, 2565, 354, 1117, 4556, 29, 35, 1259, 16332, 21148, 291, 1924, 15, 6, 2557, 868, 4442, 1144, 4556, 4414, 4892, 9, 8271, 1024, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 16791, 2837, 9, 189, 283, 30157, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 9375, 15249, 1259, 1838, 6, 283, 4569, 13, 12465, 6604, 232, 23, 325, 4250, 1290, 2618, 1923, 8142, 9441, 26, 63, 9, 6, 2557, 868, 4442, 1144, 5428, 11823, 76, 26, 2618, 2262, 2910, 23, 6, 1798, 283, 4569, 13, 12465, 6604, 232, 23, 2863, 4729, 18, 30841, 8960, 15039, 7066, 644, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 1290, 77, 83, 1546, 835, 6285, 76, 26, 10666, 63, 6, 874, 18, 715, 283, 4569, 6, 192, 18, 715, 4417, 2146, 11993, 6978, 11, 3271, 13, 9199, 2958, 17029, 12402, 3515, 644, 6, 2557, 868, 4442, 1144, 2504, 3272, 15039, 7066, 7263, 4031, 6, 2557, 868, 4442, 1144, 2180, 23, 1982, 1923, 8142, 9441, 26, 63, 9, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 6324, 88, 7, 107, 63, 265, 6483, 9491, 6, 432, 1547, 907, 10021, 7383, 24694, 13509, 25221, 15875, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 4425, 9, 8832, 355, 22730, 23, 7664, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 9053, 11740, 9, 1626, 835, 6285, 76, 26, 10666, 63, 6, 1798, 3271, 13, 1015, 13, 2730, 30132, 3084, 115, 107, 76, 180, 53, 283, 30157, 6, 16332, 9, 6850, 63, 9, 3049, 144, 9, 3450, 24694, 1051, 235, 7, 107, 1290, 2618, 374, 208, 6, 1798, 4566, 6323, 13, 8, 3141, 13, 1547, 11, 489, 18, 715, 8541, 13, 12876, 45, 10221, 4059, 6, 282, 7, 265, 11, 16993, 2414, 1013, 5, 8821, 63, 9, 115, 9300, 1290, 1825, 760, 1924, 15, 6, 1798, 3271, 13, 1015, 14565, 157, 88, 10170, 451, 157, 3272, 970, 17, 17, 9, 6, 1798, 283, 4569, 13, 12465, 6604, 232, 23, 925, 26, 26, 1495, 22928, 6, 283, 4569, 13, 4556, 603, 2565, 354, 1013, 3325, 32, 26, 107, 644, 6, 5220, 21, 4266, 159, 9, 1478, 3705, 12524, 23400, 374, 63, 6, 166, 3545, 9104, 6323, 21, 10078, 257, 11, 4266, 3441, 63, 144, 23, 3, 9655, 180, 8489, 1538, 9, 374, 208, 6, 1661, 13, 8, 432, 1547, 8555, 173, 9, 4442, 1923, 19271, 412, 26, 2644, 7263, 4031, 6, 432, 1547, 907, 10021, 7383, 24694, 9233, 1024, 5497, 9, 15875, 6, 15202, 269, 18, 3108, 18528, 17, 900, 7573, 1244, 389, 2910, 6285, 76, 26, 10666, 63, 6, 37, 2390, 1592, 14595, 21, 19039, 344, 4406, 11, 10986, 216, 19, 1083, 8, 2578, 13, 1331, 14932, 7, 44, 8, 11957, 3, 184, 21260, 2126, 5, 5085, 7, 152, 9, 10129, 440, 6, 166, 2018, 354, 15975, 12, 36, 8160, 38, 46, 5220, 21, 8 ]

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

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

[ 2390, 20417, 531, 120, 10129, 440, 6, 4151, 24694, 12520, 7, 14420, 6, 2753, 13, 8, 907, 6524, 71, 210, 3690, 3815, 10001, 35, 8265, 15, 6, 1798, 27197, 348, 13, 8161, 1179, 2318, 17, 9827, 20492, 348, 6, 8, 166, 1461, 8160, 18176, 13, 10677, 5845, 7677, 11, 8, 166, 19039, 23, 2488, 13, 8, 6098, 5, 445, 17327, 19669, 6, 1798, 12394, 13, 5184, 537, 5, 37, 166, 3955, 18176, 16, 8, 907, 6524, 13, 19039, 23, 5233, 5, 10571, 603, 5429, 411, 10059, 6, 1798, 12394, 13, 5184, 537, 5, 216, 1632, 1270, 31, 7, 19147, 18176, 38, 168, 38, 8, 166, 19039, 23, 11, 166, 10148, 18176, 5, 22730, 77, 9, 14420, 6, 6098, 322, 21, 3926, 26, 2091, 11, 1798, 14716, 9104, 1144, 16, 10677, 5845, 7677, 20710, 152, 2551, 5429, 6, 166, 19039, 23, 12, 36, 8160, 38, 46, 5220, 21, 8, 2390, 20417, 18182, 11, 3428, 485, 10172, 28508, 325, 17, 99, 205, 4067, 26, 10666, 63, 17978, 1947, 23, 6, 11117, 24662, 11, 7174, 13, 8, 17978, 1947, 23, 2426, 28508, 8822, 77, 1318, 265, 1047, 23, 6, 1798, 2753, 13, 11340, 23, 144, 412, 109, 51, 9, 18, 15, 18, 30791, 19039, 3926, 19030, 18, 15, 18, 371, 83, 1047, 23, 28508, 5708, 77, 205, 4067, 26, 10666, 63, 6, 3, 9, 4761, 24662, 11, 1827, 20622, 15392, 216, 29, 9, 1138, 99, 83, 10172, 6, 837, 10662, 31, 7, 256, 265, 71, 354, 1982, 6664, 52, 32, 127, 6, 256, 265, 6, 1424, 915, 49, 11, 24694, 5429, 451, 52, 20008, 23, 6, 898, 189, 18, 14006, 1923, 89, 23, 15528, 13, 8, 3926, 17, 5310, 455, 486, 3272, 5429, 6, 374, 32, 3348, 23, 24662, 6, 2291, 11, 7174, 13, 8, 2504, 19271, 18, 15, 18, 30791, 1088, 1699, 4055, 412, 26, 2644, 205, 4067, 26, 10666, 63, 6, 1798, 5220, 21, 5224, 40, 88, 17, 4525, 31368, 5429, 332, 3198, 29, 9, 6, 11117, 24662, 6, 11603, 11, 20622, 31368, 23124, 348, 26, 6, 3, 19271, 77, 3439, 11, 1923, 89, 23, 24662, 24726, 1533, 7, 8399, 6, 898, 189, 18, 14006, 25518, 18, 24925, 24662, 6887, 1024, 11740, 28770, 2474, 4624, 459, 6, 11117, 24662, 11, 20417, 6855, 445, 17815, 115, 5429, 6285, 76, 26, 10666, 63, 6, 7174, 13, 8, 5428, 77, 5393, 412, 14351, 8055, 1047, 23, 6, 8, 166, 954, 3515, 7, 9, 16, 8, 15993, 5224, 40, 88, 17, 1719, 10037, 412, 26, 2644, 1263, 107, 127, 102, 459, 6, 13404, 13, 493, 89, 9, 2436, 40, 5428, 1665, 7, 173, 13849, 19039, 10037, 83, 10172, 20373, 102, 459, 6, 4035, 12837, 23, 52, 11, 3145, 4249, 6146, 83, 1626, 835, 3129, 702, 52, 102, 459, 6, 1798, 2753, 13, 493, 89, 9, 2436, 40, 5428, 1665, 7, 173, 13849, 19039, 2067, 89, 9, 5271, 83, 1626, 835, 11006, 12581, 21391, 6, 1798, 6444, 18, 102, 15704, 13, 216, 89, 5246, 17, 18, 15, 18, 30791, 11, 11340, 23, 144, 412, 109, 51, 9, 18, 15, 18, 30791, 412, 9441, 26, 83, 1626, 1824, 6 ]

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

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

[ 1798, 3, 157, 547, 23, 115, 13, 11835, 2520, 4159, 4031, 2375, 3969, 9, 412, 26, 2644, 6, 2753, 13, 11340, 23, 144, 412, 109, 51, 9, 18, 15, 18, 30791, 19039, 6226, 10666, 83, 1546, 835, 6, 2472, 11, 22770, 13, 8, 2415, 52, 31, 152, 19669, 446, 138, 138, 31, 7, 19424, 19669, 446, 138, 138, 6, 1923, 89, 23, 15528, 1968, 28, 16436, 10172, 12, 5224, 40, 88, 17, 350, 10557, 23, 4152, 2618, 76, 26, 2644, 6, 1702, 12, 36, 5224, 40, 88, 17, 31, 7, 166, 10148, 454, 17815, 24726, 6214, 7, 76, 89, 6, 166, 123, 7, 235, 8603, 13, 19669, 446, 138, 138, 31, 7, 649, 122, 9, 107, 7124, 12877, 2168, 6, 1968, 28, 16436, 10172, 12, 3862, 291, 3791, 71, 702, 172, 4004, 1273, 17, 23, 6, 9663, 13, 19669, 446, 138, 138, 14420, 26, 9, 446, 107, 1825, 51, 1825, 6, 9663, 13, 19669, 446, 138, 138, 19669, 2776, 9052, 6, 1968, 28, 16436, 10172, 12, 411, 7, 348, 23, 1823, 1478, 19669, 5648, 603, 3, 9, 26, 18, 308, 77, 445, 15918, 83, 23, 6, 1968, 28, 16436, 10172, 12, 4540, 23, 547, 23, 19669, 8329, 138, 2415, 1024, 89, 9, 6, 1480, 28599, 13, 19669, 446, 138, 138, 19669, 2148, 440, 6, 1968, 28, 16436, 10172, 12, 377, 35, 8019, 2565, 354, 19669, 12021, 9, 89, 9, 6, 1968, 28, 16436, 10172, 12, 1290, 83, 2099, 115, 9, 7061, 19669, 4734, 29, 6, 778, 28599, 11, 23213, 13, 19669, 446, 138, 138, 19669, 2770, 157, 29, 76, 26, 2644, 6, 1968, 28, 16436, 10172, 12, 13509, 29, 9, 1478, 19669, 925, 26, 26, 23, 1824, 6, 1968, 28, 16436, 10172, 12, 411, 7, 348, 3791, 19669, 2067, 14312, 2644, 6, 1968, 28, 16436, 10172, 12, 25187, 3791, 180, 10093, 4701, 2436, 115, 6, 1968, 28, 16436, 10172, 12, 1386, 109, 18276, 2502, 4821, 1024, 24726, 18100, 9, 3, 18, 4779, 8287, 12, 36, 8, 8555, 26, 23, 11, 3, 17, 9803, 89, 189, 256, 265, 6, 5908, 16, 3392, 7, 581, 8, 1932, 1547, 1958, 11, 2209, 4059, 23, 6524, 25983, 3643, 155, 6820, 9, 3, 18, 18528, 82, 7, 1225, 4488, 5965, 7664, 1980, 16942, 1665, 6, 1968, 28, 16436, 18528, 159, 51, 12, 1140, 23, 3791, 5716, 19039, 24661, 15392, 9373, 15, 26, 20492, 23, 6, 18096, 49, 891, 83, 4498, 152, 6, 18096, 49, 71, 5, 480, 5, 283, 5, 8555, 51, 32, 32, 26, 6, 18096, 49, 22928, 18875, 15, 2436, 52, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 901, 1825, 12232, 4288, 6, 19039, 22635, 88, 10170, 644, 6, 18096, 49, 21, 20008, 2863, 3710, 4481, 4165, 61, 262, 5514, 32, 17, 1546, 7, 7, 9, 77, 6, 18096, 49, 21, 19039, 695, 9, 4115, 1626, 835, 8206, 6, 19039, 4498, 23, 6724, 1546, 7, 7, 9, 77, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 7780, 276, 3216, 537, 6, 18096, 49, 1318, 17, 23, 9, 172, 1546, 7, 7, 9, 77, 6, 18096, 49, 10571, 23, 5155, 901, 265, 6 ]

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

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

[ 18096, 49, 21, 5224, 40, 88, 17, 6022, 10571, 440, 22928, 6, 18096, 49, 21, 19039, 1823, 172, 4115, 1546, 7, 7, 9, 77, 6, 19039, 18266, 63, 9, 309, 14748, 6, 18096, 49, 21, 20008, 11, 10096, 636, 20492, 5393, 7566, 26, 1162, 6, 18096, 49, 13509, 77, 5774, 107, 6, 18096, 49, 21, 19039, 18100, 9, 83, 1626, 835, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 10403, 15, 51, 901, 265, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 19669, 152, 450, 20492, 348, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 3926, 19906, 22928, 6, 18096, 49, 21, 5224, 40, 88, 17, 6022, 9627, 3198, 11835, 7, 63, 9, 6, 18096, 49, 21, 19039, 10929, 27900, 172, 22928, 6, 1798, 3370, 49, 21, 19039, 5845, 1629, 6285, 76, 26, 10666, 63, 6, 2076, 1846, 49, 21, 1566, 3370, 1886, 26956, 896, 377, 5, 254, 5, 20993, 1626, 6983, 6, 1798, 3370, 49, 21, 26276, 152, 6508, 8555, 3007, 5808, 20492, 348, 1923, 8027, 6, 3370, 49, 11, 14268, 13, 71, 2375, 7893, 107, 3, 13383, 7271, 9, 1109, 22928, 205, 4067, 26, 10666, 63, 9810, 29, 9, 6, 3370, 49, 21, 2695, 17, 2408, 2444, 891, 9, 2618, 23, 2502, 28508, 5429, 4496, 32, 6, 192, 18, 715, 296, 10182, 4583, 18, 2689, 53, 6336, 12455, 6724, 13674, 7, 9, 77, 6, 19443, 22209, 1959, 21, 14599, 12461, 7, 9, 588, 7, 11, 8, 1651, 7190, 4734, 120, 51, 6174, 372, 15039, 23, 1626, 6983, 6, 3, 2951, 7, 2325, 6, 5539, 8, 377, 13162, 18604, 1331, 3226, 41, 518, 5166, 61, 2233, 16, 13200, 4425, 29, 9, 189, 6483, 9491, 6, 21982, 11, 4346, 200, 801, 21, 16533, 27016, 8, 7895, 57, 12679, 5, 2770, 1824, 7, 152, 9, 10129, 440, 3, 104, 2735, 3955, 3, 10432, 9378, 4159, 9, 63, 12806, 4583, 2689, 53, 6336, 11, 150, 1109, 920, 14268, 13, 8, 2390, 4159, 9, 63, 12806, 2271, 5, 1547, 276, 10694, 51, 644, 6, 18096, 49, 2566, 17, 11259, 6110, 7, 9, 26, 970, 17, 17, 9, 6, 1798, 2753, 13, 8, 3570, 5716, 2125, 6, 4556, 603, 2565, 354, 24525, 138, 2850, 736, 15, 1498, 12877, 17, 202, 41, 4895, 15, 26, 57, 1140, 354, 77, 588, 584, 12546, 16, 2571, 8, 6650, 22106, 61, 8945, 195, 41, 4895, 15, 26, 57, 10403, 22845, 5429, 16, 3862, 348, 61, 71, 63, 76, 115, 26276, 41, 4895, 15, 26, 57, 19669, 5534, 9, 172, 19806, 16, 2571, 8, 6650, 22106, 61, 1699, 5584, 40, 31, 7, 2039, 41, 4895, 15, 26, 57, 12776, 9, 549, 17327, 16, 15143, 3687, 3111, 61, 5186, 1598, 12877, 17, 202, 41, 4895, 15, 26, 57, 891, 10193, 15, 157, 16738, 16, 2571, 8, 6650, 22106, 61, 5186, 7196, 9, 26276, 41, 4895, 15, 26, 57, 5158, 51, 9, 1546, 835, 16, 2571, 8, 6650, 22106, 61, 2215, 9270, 15, 49, 3, 9465, 4901, 41, 4895, 15, 26, 57, 10403, 22845, 5429, 16, 15143, 3687, 3111, 61, 1534, 8654, 10129, 440, 6, 8, 711, 21326, 13, 8 ]

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

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

Datasets:

Tristan
/

t5-small-october-wikipedia-2022-tokenized-512

Dataset Card for "t5-small-october-wikipedia-2022-tokenized-512"