NochnoyRitzar/ner_locations_dataset_pretokenized_xlm_roberta

labels sequence	input_ids sequence	attention_mask sequence
[ -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 1, -100, -100, 2, 2, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100 ]	[ 0, 218116, 14159, 228369, 59, 5506, 142269, 6, 4, 78536, 159976, 49, 149314, 29, 143885, 29, 61858, 1768, 166658, 72904, 1269, 650, 1711, 6, 4, 49, 53094, 476, 123339, 129334, 1730, 36274, 9037, 128530, 19701, 2052, 47030, 20, 72904, 1269, 79260, 6, 4, 1656, 56887, 102445, 38952, 93887, 29, 210055, 9287, 6, 5, 4056, 6168, 159976, 169721, 183, 119463, 151263, 141272, 89, 21996, 59, 193301, 2946, 35, 153682, 19816, 65346, 1082, 29440, 19701, 2052, 47030, 20, 72904, 1269, 79260, 407, 182637, 4544, 9778, 7765, 25077, 559, 6, 5, 15910, 206096, 89, 13394, 143885, 11271, 650, 42533, 2151, 6, 5, 5187, 140950, 49, 2530, 414, 104650, 2172, 79171, 20, 6, 111346, 547, 67409, 336, 67196, 59, 104000, 228369, 59, 5506, 142269, 6, 4, 44, 183381, 49, 19701, 2052, 47030, 20, 72904, 1269, 79260, 134222, 16950, 15782, 245, 4354, 6, 4, 143885, 135419, 559, 21996, 59, 193301, 2946, 35253, 77, 105, 6417, 2033, 1551, 44, 6, 5, 21199, 49, 34078, 89, 59, 226, 151263, 141272, 89, 27595, 14554, 22959, 97062, 139769, 135, 49623, 28832, 1857, 35, 234075, 6, 4, 414, 2732, 44, 5641, 718, 58601, 168078, 1730, 2262, 227, 2395, 44653, 54058, 28008, 61066, 227, 29, 166658, 44, 6, 4, 29477, 79211, 989, 44, 129, 4866, 4045, 38535, 3315, 743, 67196, 59, 104000, 228369, 59, 5506, 142269, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 1, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 417, 20755, 529, 71373, 3455, 98101, 39242, 113799, 312, 6, 204209, 1768, 162717, 969, 11968, 3281, 73042, 40087, 6, 4, 178037, 103, 13117, 120762, 6878, 407, 230368, 17492, 33303, 45662, 407, 29751, 6, 5, 417, 71007, 6, 4, 133236, 9268, 8942, 6, 5, 185278, 29, 10757, 77, 66505, 6, 4, 414, 27355, 77, 4988, 24840, 128379, 2542, 49, 164319, 103, 49, 22692, 17492, 33303, 34664, 44, 160052, 328, 212, 44, 6, 5, 1729, 24240, 358, 1721, 222, 1976, 424, 133236, 9268, 40841, 120006, 87363, 59, 6, 4, 414, 132139, 183, 103, 31224, 49, 164319, 103, 3150, 35, 15856, 49922, 11285, 44, 160052, 18149, 44, 6, 5, 44, 47995, 4, 9, 39816, 2732, 4, 9, 5434, 77, 18510, 139490, 80417, 6, 5, 423, 20, 387, 4476, 20, 10503, 19011, 518, 61256, 695, 149514, 30840, 6, 4, 120762, 41557, 23294, 6, 5, 44, 172707, 133236, 77, 5641, 2297, 6, 5, 118975, 8552, 1521, 1219, 105, 6, 4, 128379, 95457, 79360, 111, 21629, 45314, 9966, 121293, 49, 7931, 650, 20, 19821, 680, 2687, 6, 4, 83694, 407, 149001, 89, 49, 110293, 2101, 119882, 49, 117163, 196666, 14195, 13, 17336, 55061, 65421, 6, 4, 14925, 6, 4, 129, 1739, 66689, 6, 4, 129, 7878, 5719, 44, 49356, 4135, 2192, 51410, 2716, 44, 6, 4, 15319, 2192, 529, 48981, 13953, 110400, 227, 135, 47651, 1857, 17492, 2303, 1584, 718, 15983, 336, 35, 59945, 6, 5, 68406, 98276, 77, 35359, 217771, 1041, 1006, 152, 40087, 13555, 234798, 59, 49, 10586, 8165, 6, 4, 414, 216985, 312, 74167, 819, 128082, 94921, 56139, 92881, 440, 34632, 97986, 227, 84926, 6, 4, 2696, 14219, 71045, 75874, 1006, 132281, 103, 35, 80957, 103, 2406, 1041, 63892, 6, 5, 133236, 6314, 32302, 207763, 82493, 21741, 7054, 129, 151555, 3216, 49, 2038, 34959, 5434, 2699, 6, 5, 38828, 312, 2155, 447, 12910, 1068, 424, 40087, 83694, 152, 44, 7796, 127754, 162168, 53733, 130, 6, 5, 1087, 28470, 6, 4, 414, 7193, 20, 690, 75918, 222, 49, 690, 6, 4, 414, 1097, 34180, 13287, 80417, 6, 4, 779, 2176, 3216, 79885, 1551, 85946, 89, 45482, 827, 518, 42157, 17524, 191199, 139425, 110400, 559, 6, 5, 44, 1729, 24240, 1435, 23457, 4184, 650, 424, 43045, 18481, 10760, 111, 10542, 313, 70663, 6, 4, 6, 159113, 245, 6, 4, 211928, 30236, 518, 85699, 17492, 33303, 34664, 407, 24339, 160711, 103, 105897, 652, 1874, 3086, 751, 216985, 244, 44, 975, 52133, 2697, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 1, -100, -100, 2, 2, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 901, 130347, 44308, 743, 3526, 6, 4, 128590, 15137, 235899, 41374, 244, 195369, 94946, 31148, 224863, 49, 2038, 34959, 49795, 2699, 78536, 6878, 49, 1332, 743, 20, 3470, 3712, 698, 7898, 183, 28255, 44, 60021, 1323, 44, 35, 13192, 35669, 135, 161135, 424, 18359, 3795, 2431, 42689, 407, 213294, 24192, 130, 6, 60927, 13701, 11353, 13617, 29, 119646, 14722, 6, 5, 34257, 125326, 424, 6, 83389, 71314, 14560, 173383, 811, 1125, 82608, 5138, 387, 97986, 559, 84926, 29, 34560, 186275, 6, 4, 119436, 135, 11353, 91188, 6, 5, 44, 804, 10849, 29, 2188, 5969, 29, 6, 73485, 59, 22959, 20228, 107715, 44, 6, 4, 20, 188969, 32302, 58482, 591, 74594, 78917, 93834, 25126, 24130, 380, 6, 5, 804, 10849, 123821, 29, 2294, 652, 58036, 80894, 77791, 2151, 13053, 103, 6, 4, 57652, 105062, 73595, 44653, 94946, 77892, 13117, 14560, 13995, 100625, 3410, 7621, 62008, 1258, 9953, 101912, 119882, 84926, 49, 25510, 714, 4476, 129, 105447, 1068, 6194, 228980, 4256, 6, 5, 21199, 6, 4, 190369, 407, 54671, 54976, 63214, 128530, 6, 4, 811, 526, 2827, 126674, 312, 79166, 77, 1741, 23369, 51639, 135, 36858, 6467, 100625, 1281, 6, 4, 1145, 819, 75552, 76349, 1730, 29, 11125, 888, 59585, 9439, 130, 6, 4, 69893, 35817, 59637, 200438, 145583, 130, 6, 5, 21199, 29, 79166, 74599, 55980, 68919, 183, 3429, 26135, 100895, 192776, 227, 29, 447, 12329, 547, 20, 26733, 5719, 6, 5, 672, 1332, 743, 20, 3470, 3712, 698, 5902, 109705, 1768, 136581, 103, 80077, 90452, 119537, 49, 149314, 84, 44106, 49, 115257, 29, 138, 1745, 6, 4, 627, 68538, 179789, 18345, 7, 20, 5138, 4703, 29, 201, 1745, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 94211, 147703, 130958, 14560, 69765, 14424, 23192, 518, 75586, 77791, 1857, 51535, 1993, 129, 57231, 40206, 4256, 102687, 115987, 105, 188205, 105, 6, 4, 93661, 59, 29725, 6, 4, 129, 85093, 91791, 220936, 59, 6, 4, 240986, 135, 163663, 5532, 419, 6, 5, 5188, 3920, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 52494, 105, 581, 2356, 5753, 19114, 6, 5, 1851, 76929, 51535, 4256, 147282, 179614, 88210, 29, 69966, 142453, 129, 186274, 135, 130074, 827, 147522, 6, 5, 5074, 5434, 11085, 21726, 5719, 207467, 49, 142571, 1551, 8165, 4948, 119882, 84926, 35, 4768, 12664, 119882, 84926, 29, 90458, 3693, 2699, 6, 5, 5187, 123637, 581, 2356, 5753, 19114, 6, 4, 44, 49, 174788, 227, 1120, 71141, 165324, 244, 1203, 87410, 220070, 54434, 227, 407, 2660, 6, 4, 414, 12826, 22480, 6, 4, 122615, 87170, 6, 4, 3216, 811, 26813, 232601, 227, 518, 206136, 1114, 54883, 559, 591, 2380, 36686, 57878, 182499, 44, 6, 5, 83559, 93661, 59, 12504, 440, 13510, 303, 88897, 718, 184104, 94768, 69509, 130, 6, 4, 33520, 2151, 4988, 6826, 44, 6, 5, 417, 14560, 3216, 97945, 51535, 1993, 6, 4, 200528, 160016, 819, 718, 85645, 1719, 6, 4, 1145, 35, 148177, 130, 177525, 1258, 6, 4, 224125, 83772, 827, 49, 8148, 111039, 13994, 39255, 175765, 6, 5, 21199, 2792, 66129, 4135, 142219, 6, 4, 157564, 17896, 6, 4, 29, 232601, 1214, 6, 4, 134060, 17330, 130074, 84, 6826, 6, 4, 252, 77, 84, 53819, 244, 147522, 637, 114, 224670, 2958, 17880, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 829, 64743, 181515, 41374, 244, 197849, 559, 130390, 1768, 22937, 20755, 13453, 5613, 77865, 49, 149314, 6, 4, 1039, 67165, 6, 4, 135, 24969, 1455, 150975, 59, 31420, 6173, 14394, 61295, 1768, 20, 134542, 1551, 44, 66751, 44, 6, 4, 181441, 1857, 21059, 419, 811, 72807, 44, 804, 10758, 44, 6, 5, 5187, 79015, 89, 49, 53094, 476, 51836, 11312, 804, 72359, 20, 36690, 45961, 49, 53686, 103, 35736, 145109, 827, 6, 4, 197849, 89, 35797, 811, 23984, 1006, 29, 33325, 72196, 17492, 33303, 105, 6, 5, 74543, 1768, 218482, 129, 119746, 105, 197849, 559, 183, 175039, 22239, 9395, 193868, 4018, 46107, 20, 89037, 38964, 61295, 380, 20, 216985, 312, 14909, 44, 5561, 55772, 2632, 20, 2443, 124333, 650, 44, 189604, 1082, 85747, 157951, 20, 6, 204209, 1082, 158193, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100 ]	[ 0, 136148, 1041, 6, 30363, 8809, 12358, 1270, 147459, 40331, 48352, 2697, 228582, 49, 151976, 193182, 44, 97836, 44, 6, 4, 414, 158303, 44, 86079, 59, 183, 47558, 3410, 1372, 67165, 49, 94447, 2390, 226, 13701, 8921, 71314, 106364, 44, 6, 5, 4056, 7572, 19592, 83521, 989, 49, 53094, 476, 108305, 12358, 1270, 147459, 16372, 8635, 77, 100288, 1219, 13987, 33372, 20, 44, 13299, 183, 47558, 3410, 8921, 71314, 189768, 49, 165793, 44, 6, 5, 127532, 559, 77, 84, 7133, 93337, 44, 58215, 5145, 40153, 6, 4, 224644, 1874, 49, 8921, 103, 71314, 106364, 44, 6, 4, 87363, 40331, 48352, 2697, 6, 5, 12459, 215623, 1114, 8921, 3318, 33520, 29, 255, 18954, 928, 49, 64110, 142872, 303, 70847, 92267, 4256, 6, 4, 49, 40473, 6, 18655, 33364, 129, 714, 132943, 183, 238453, 227, 6, 4, 79449, 16286, 35, 128530, 6, 5, 40331, 48352, 2697, 84014, 6, 4, 414, 49, 68642, 8979, 10757, 105677, 44, 55227, 227, 71314, 106364, 9072, 82851, 45395, 46896, 2454, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 1, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 1, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 1, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 1, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 1, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, 0, 0, 1, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 1, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100 ]	[ 0, 152458, 130, 154327, 18419, 1145, 35, 77, 110251, 238277, 213184, 105190, 183, 8635, 26464, 50203, 6, 107098, 67627, 827, 1714, 13539, 86783, 5785, 18957, 227, 4932, 111, 2356, 5753, 49, 68642, 20803, 148434, 2958, 28203, 1394, 49, 140620, 2687, 6, 4, 79015, 197, 153827, 804, 72359, 20, 36690, 45961, 6, 5, 1087, 103234, 2792, 5058, 35, 137238, 983, 52494, 1857, 13385, 407, 591, 33394, 45073, 89, 5785, 154693, 27617, 18102, 210983, 6, 4, 811, 87323, 1196, 80894, 8568, 6, 5, 3499, 13539, 3997, 49, 149314, 49, 140620, 2687, 6, 4, 184871, 124698, 743, 2509, 8441, 14560, 6, 4, 41976, 59123, 59, 129, 84, 66814, 2151, 142598, 130, 72480, 2519, 56748, 86051, 2557, 6546, 67589, 6527, 181850, 22498, 49704, 6, 4, 529, 20601, 60638, 212, 123020, 73429, 989, 3433, 13390, 60303, 129, 30083, 4932, 111, 2356, 5753, 35, 242707, 407, 197709, 3410, 95896, 2519, 6, 5, 1729, 14809, 80894, 1086, 180108, 13385, 29, 114, 312, 25862, 83694, 44341, 66699, 14560, 29134, 14394, 115533, 27596, 6794, 650, 6, 5, 213870, 2097, 7638, 127815, 227, 226, 888, 8865, 46414, 8441, 35, 183, 8635, 26464, 50203, 49, 8568, 6, 5, 6, 132250, 245, 407, 151555, 8865, 46414, 8441, 44, 49, 207608, 87879, 1214, 44, 6, 4, 86051, 2557, 6546, 105, 46235, 380, 83694, 6, 4, 414, 424, 8568, 84, 41981, 32942, 97986, 227, 84926, 6, 4, 407, 68295, 245, 238929, 29, 25862, 1214, 49, 142972, 27617, 244, 6, 5, 901, 1739, 66689, 6, 4, 49, 91791, 14560, 57707, 136720, 9296, 6, 4, 414, 44, 215790, 1714, 13539, 1874, 42157, 104844, 171219, 44664, 1874, 200051, 31646, 227, 518, 183, 8635, 26464, 18102, 6, 4, 47554, 1196, 231700, 114408, 49, 8568, 44, 6, 5, 44, 160537, 14560, 77, 119011, 12758, 13418, 183, 24276, 50314, 518, 6, 41333, 17425, 1714, 13539, 1196, 18102, 424, 20, 61, 3226, 35458, 59, 6, 4, 2431, 70292, 177852, 135, 183, 8635, 96126, 130, 132661, 50203, 35, 76047, 81646, 1857, 1714, 13539, 58706, 49, 51871, 44, 6, 4, 20, 143675, 1266, 6, 5, 185020, 4427, 130, 1266, 45891, 328, 7846, 29, 690, 6, 4, 414, 969, 108629, 52766, 103, 114088, 103, 234085, 14560, 969, 145067, 80566, 42905, 2192, 166153, 7812, 13539, 48520, 6, 4, 3837, 2984, 2120, 2294, 718, 7533, 54671, 188568, 819, 44, 183, 8635, 96126, 50203, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 1, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100 ]	[ 0, 1039, 67165, 49, 52429, 49, 34992, 13701, 189604, 1082, 76880, 25896, 155641, 59, 140335, 245, 591, 4653, 2097, 135, 9504, 9685, 1768, 23568, 48970, 90798, 6, 5, 7796, 217682, 1551, 46671, 14419, 10190, 23581, 27673, 2582, 205, 150926, 11, 6, 5, 4518, 79707, 59, 1729, 17471, 97440, 59, 6, 5, 7720, 84255, 51639, 15229, 36274, 6, 4, 1741, 41341, 415, 6, 4, 1741, 30289, 415, 35, 134529, 69961, 93502, 20228, 38335, 983, 6, 4, 14468, 6794, 1794, 34358, 35, 120420, 6794, 1794, 34358, 6, 4, 1093, 62671, 20, 27035, 42905, 983, 6, 4, 779, 135, 127443, 3455, 228429, 75674, 82461, 6, 5, 4805, 4208, 90815, 210227, 424, 217682, 44712, 38335, 983, 49, 5138, 75748, 130, 139070, 1993, 20, 233136, 29, 131297, 75413, 6, 4, 35, 2732, 183, 28742, 4354, 6, 5, 50656, 5058, 29, 68279, 3732, 312, 105644, 7613, 2176, 4774, 35, 65718, 44, 4056, 111795, 1117, 153, 248, 5464, 272, 160017, 1301, 153, 44, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 1, -100, -100, 2, -100, 0, 1, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 4056, 24214, 40342, 31465, 1584, 35, 79698, 245, 206096, 89, 40326, 407, 211826, 244, 49, 51752, 13117, 601, 5, 618, 5, 919, 5, 1052, 5, 441, 5, 436, 939, 6, 5, 24890, 6, 5, 6, 4, 161256, 2946, 162412, 6, 87924, 105, 29, 106261, 25337, 1270, 81546, 2097, 121801, 29, 53046, 32071, 48837, 62204, 6, 5, 25202, 224390, 6, 27465, 129, 6, 187771, 130, 6, 4, 21515, 91957, 2431, 174478, 23453, 38219, 827, 29, 144910, 10582, 79211, 69765, 227, 6, 4, 55732, 44, 19878, 49, 27027, 103, 44, 2792, 231003, 89, 53046, 32071, 4256, 6, 5, 901, 30271, 751, 162598, 29, 76784, 3795, 179388, 637, 3709, 61, 161135, 4641, 77, 440, 207686, 718, 161760, 121900, 4045, 31969, 105, 6, 4, 252, 16642, 116069, 546, 130055, 29, 22718, 53046, 59914, 6, 5, 10405, 92103, 130, 5145, 160031, 6, 47558, 16833, 714, 119882, 21674, 20, 19658, 1976, 6, 4, 61123, 36689, 136951, 20, 969, 9753, 1874, 21674, 20, 175105, 21515, 77672, 130055, 130, 49, 22326, 31969, 59, 70170, 6, 4, 252, 136951, 167727, 547, 53046, 32071, 48837, 62204, 6, 5, 417, 149314, 49108, 49647, 36098, 3997, 64760, 206096, 59, 6, 4, 414, 10172, 218, 743, 811, 27824, 380, 6, 4, 35, 62204, 969, 92103, 157603, 202875, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, 1, -100, -100, -100, -100, 2, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, -100, -100, -100, -100, 2, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 1, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]	[ 0, 672, 163955, 419, 33317, 526, 47453, 1041, 1551, 6, 13119, 2303, 8875, 1105, 67165, 54064, 6878, 235413, 227, 9504, 89, 2102, 49394, 559, 1006, 23568, 48970, 90798, 6, 5, 417, 11709, 107981, 60828, 4387, 1741, 27449, 812, 424, 145904, 31303, 59, 6, 175486, 227, 6, 4, 4851, 29, 415, 957, 336, 155641, 59, 140335, 245, 591, 4653, 2097, 6, 4, 49, 589, 1455, 5969, 12635, 148780, 33317, 526, 47453, 18654, 695, 6, 242951, 245, 6, 5, 20793, 49, 440, 24178, 22573, 1993, 2530, 196507, 244, 129807, 35, 141442, 559, 50487, 108854, 5509, 183, 7061, 96126, 6, 5, 901, 7044, 4653, 2454, 135, 9504, 9685, 1768, 49394, 559, 1857, 133300, 5058, 90953, 59, 50406, 105526, 79260, 672, 8489, 2578, 118036, 8489, 6, 4, 10797, 1874, 43475, 40342, 35, 68453, 1874, 50786, 15137, 30296, 6, 4, 49, 2660, 20068, 222676, 1813, 723, 2697, 6, 4, 252, 5058, 2294, 64393, 40010, 142972, 6674, 45653, 650, 20, 12769, 11369, 244, 48122, 142241, 6, 4, 200093, 11667, 15823, 3526, 680, 4560, 62156, 417, 144055, 4132, 476, 11797, 800, 6309, 6, 4, 90953, 59, 164299, 122890, 4019, 59, 2718, 22509, 3681, 3429, 4286, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 1, -100, -100, -100, 2, 1, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 1, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 1, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 1, -100, -100, 2, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 1, -100, -100, 2, -100, -100, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 1, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 1, -100, -100, 2, 2, -100, 0, -100, 1, -100, -100, 1, -100, -100, -100, 2, 0, 1, -100, -100, 1, -100, 2, 2, -100, -100, 2, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 1, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 417, 10962, 312, 38060, 7898, 110642, 1721, 1521, 5573, 59, 28276, 2233, 150174, 440, 22474, 15919, 1269, 160181, 99059, 195817, 8568, 35, 183, 16909, 559, 6, 85193, 68483, 7044, 70435, 6880, 23294, 61, 45571, 928, 29153, 1196, 54058, 6033, 559, 35, 13901, 1196, 68439, 559, 6, 4, 440, 1200, 680, 17330, 49, 114, 24119, 16726, 17355, 44624, 89, 35, 19701, 44624, 89, 6, 5, 5187, 79015, 89, 23294, 35030, 1709, 44, 97836, 44, 49, 79171, 20, 120606, 195817, 8568, 6, 4, 1203, 84820, 103, 60536, 512, 4947, 59, 92084, 23122, 42157, 3577, 32822, 2697, 6, 4, 3837, 4768, 110468, 29, 2757, 3315, 35605, 89, 5892, 2562, 5902, 183185, 6, 4, 21059, 170404, 6, 5, 223656, 46478, 85747, 8007, 49, 1450, 957, 87315, 174412, 237702, 59, 702, 811, 7330, 559, 6, 5, 901, 165324, 130, 79171, 20, 44970, 195817, 8568, 6, 4, 2732, 42393, 49266, 37841, 36274, 118925, 35, 1741, 7846, 559, 49, 6871, 5482, 98542, 84, 8875, 2716, 103, 29, 30724, 18449, 19910, 6, 5, 901, 35, 21758, 11519, 1355, 44, 96012, 695, 67196, 59, 440, 71226, 211455, 4798, 76240, 2325, 32050, 16641, 6467, 174001, 18449, 19910, 44, 6, 4, 156954, 1857, 193182, 44, 97836, 44, 6, 4, 62705, 227, 29, 202536, 61295, 380, 20, 111034, 28008, 84, 21195, 129, 114, 24119, 804, 736, 80423, 20, 56110, 222, 6, 4, 43398, 82844, 19108, 22146, 4286, 45726, 8809, 34710, 35, 9880, 4446, 1584, 1851, 46719, 20, 56110, 222, 145367, 34710, 6, 5, 14853, 1417, 120323, 175030, 326, 85251, 177525, 59, 224864, 1323, 245, 40403, 1219, 6, 4, 414, 84, 21195, 29, 15479, 32369, 2530, 129, 23360, 130, 3577, 32822, 2697, 6, 4, 53841, 2151, 29, 30724, 18449, 19910, 6, 5, 1851, 1068, 18372, 135, 47236, 3315, 11369, 89, 18449, 19910, 38393, 6878, 1983, 67260, 28422, 1086, 63281, 227, 1450, 128603, 7765, 16122, 559, 35, 73182, 160181, 99059, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, -100, 0, -100, -100, 0, 0, -100, 1, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100 ]	[ 0, 672, 54064, 185987, 49, 1450, 49361, 72907, 149314, 79171, 20, 150451, 13022, 44, 161679, 80046, 44, 120276, 171280, 4853, 407, 7044, 3806, 476, 42689, 407, 2660, 6, 4, 73778, 2294, 8544, 236189, 49, 131656, 6, 151602, 1270, 11133, 22051, 2351, 518, 115165, 59, 80046, 56110, 1114, 15983, 861, 7343, 6, 5, 103830, 2574, 6, 4, 129, 66689, 171280, 55953, 6, 4, 49, 53094, 476, 8544, 57283, 13287, 135, 35, 7898, 49, 4060, 29, 111918, 1089, 55907, 6, 4, 49, 25350, 1315, 14423, 97430, 29725, 326, 158263, 187339, 12185, 407, 2660, 6, 4, 414, 8544, 6, 81660, 53871, 27595, 212406, 195386, 1082, 7877, 197, 73909, 5119, 6, 4, 20, 106064, 193182, 44, 97836, 44, 6, 5, 901, 66689, 171280, 55953, 6, 4, 56110, 983, 15983, 861, 2697, 6, 4, 49, 8914, 44515, 6, 4, 6314, 32302, 129, 31728, 79166, 29, 52494, 105, 44, 8552, 94078, 44, 6, 4, 40473, 35, 6, 86463, 53871, 18957, 1089, 55907, 6, 5, 171280, 4853, 77, 13524, 13713, 3873, 6, 4, 414, 29, 1089, 55907, 4987, 255, 59576, 59, 195190, 44, 144387, 234495, 1082, 68902, 151778, 44, 6, 4, 40553, 49, 255, 41839, 2172, 68902, 103, 104633, 69997, 51009, 407, 68902, 103, 4406, 103, 198486, 105, 50203, 61, 212406, 44, 30963, 424, 163955, 1009, 58907, 44, 6, 5, 34257, 77, 22947, 6, 4, 13022, 44, 161679, 80046, 44, 84014, 6, 4, 414, 44, 63314, 8118, 6, 4, 1097, 84, 129850, 61, 59576, 2233, 238572, 245, 84, 9526, 49, 2262, 526, 3806, 1993, 2262, 5347, 10698, 1857, 187184, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 1, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 1, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 199095, 131656, 86079, 197, 181850, 16557, 49, 27027, 21388, 21322, 64538, 6, 4, 106064, 804, 72359, 20, 36690, 45961, 6, 5, 672, 169289, 29, 10757, 77, 66505, 16112, 546, 152238, 45775, 161232, 547, 6314, 129, 180503, 35, 146753, 4256, 32739, 203090, 99781, 6, 4, 7176, 119638, 49, 25510, 196507, 244, 102375, 4476, 969, 13713, 3410, 718, 27027, 105, 5138, 1112, 1745, 123070, 244, 54575, 6, 5, 417, 77828, 3699, 130055, 827, 6891, 640, 38800, 16642, 483, 1745, 126766, 131656, 6, 5, 672, 9727, 218279, 146249, 8809, 49962, 424, 164299, 71314, 14219, 811, 87323, 227, 11709, 33891, 97986, 59, 17176, 6, 5, 901, 66689, 5832, 95700, 11054, 526, 8532, 1041, 5004, 6, 4, 124698, 31925, 131656, 6, 4, 6314, 129, 134268, 203090, 99781, 4387, 156505, 6, 4, 40553, 236206, 61, 31843, 3280, 29, 68096, 16642, 164360, 6, 4, 35, 42621, 27710, 91528, 49, 54315, 6, 4, 414, 29, 58858, 123330, 14560, 127864, 4641, 75442, 20765, 32942, 49, 10757, 8148, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, -100, 1, -100, 0, -100, 1, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 1, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0 ]	[ 0, 5187, 206096, 29, 54064, 185987, 49, 149314, 194539, 150451, 141884, 89, 22480, 20, 64456, 79038, 195215, 15, 90285, 48212, 1388, 200093, 88015, 9363, 2687, 3988, 9363, 3007, 15052, 6, 4, 102823, 13299, 163832, 29514, 1874, 80894, 123954, 255, 4682, 1891, 35, 64456, 59, 195215, 255, 72142, 3576, 2699, 6, 5, 4619, 13299, 3150, 4768, 255, 81463, 234290, 2699, 49, 52974, 59705, 1117, 79225, 29, 6, 175154, 255, 1372, 84926, 61, 2406, 3429, 2716, 15, 76119, 182903, 559, 1388, 6, 5, 4946, 4798, 52723, 105, 153508, 5058, 183547, 20, 238359, 16812, 35, 192776, 227, 29, 33799, 1041, 90798, 136581, 103, 6, 5, 1087, 43927, 245, 1874, 40010, 227, 22480, 90285, 48212, 6, 4, 98957, 29, 202123, 41747, 64107, 103, 153470, 28727, 29, 6, 175154, 6, 4, 13192, 35669, 407, 529, 65111, 45073, 89, 9553, 60769, 44, 118697, 227, 255, 4682, 1891, 44, 152, 529, 2325, 11355, 2233, 255, 4682, 2052, 195215, 77, 27710, 223527, 24470, 1126, 119882, 2406, 3429, 10998, 49, 6365, 6, 5, 1382, 2325, 1584, 7638, 29514, 227, 49, 25671, 103, 5434, 2699, 29, 150451, 22480, 90285, 48212, 32529, 135, 218772, 6, 4, 225336, 312, 6, 4, 88228, 2743, 3281, 2519, 35, 1089, 723, 2172, 6, 4, 4222, 4987, 207311, 59, 13192, 124966, 407, 157852, 1993, 64456, 59, 5138, 6, 4, 4703, 29, 116, 38608, 59, 2406, 3429, 10998, 49, 174412, 6, 5, 68406, 185283, 197, 197260, 753, 44821, 11373, 17524, 28727, 29, 6, 175154, 6, 4, 3837, 49, 6, 105362, 103, 98563, 6878, 29, 70428, 380, 177216, 130, 44748, 20, 483, 4, 2525, 84926, 61, 2406, 3429, 2716, 6, 4, 20, 35, 126995, 1725, 129, 133509, 2192, 59915, 6, 5, 70109, 135, 226551, 21013, 60229, 103366, 1039, 20, 1105, 84926, 6, 4, 414, 12826, 30984, 44, 222604, 695, 44, 51879, 6, 4, 718, 105062, 77402, 13287, 90285, 48212, 15, 952, 37654, 1388, 6, 5, 126776, 2582, 8007, 718, 132621, 55034, 245, 4354, 6, 4, 49, 20755, 135, 4703, 30296, 20, 64456, 63892, 195215, 115795, 4684, 33739, 5509, 193184, 529, 22239, 695, 2871, 2562, 22573, 20, 174666, 6, 5, 417, 62399, 129162, 1993, 40010, 227, 22480, 90285, 48212, 214461, 89, 6, 4, 414, 13299, 163832, 80649, 23969, 123954, 811, 39673, 197, 42034, 130, 22480, 90285, 48212, 34526, 176446, 129, 13170, 9571, 2699, 6, 5, 96070, 195215, 9762, 2827, 89, 202253, 551, 44521, 20, 5758, 50123, 111529, 152, 44, 56227, 4768, 6944, 3699, 6, 4, 3077, 2176, 176283, 6, 73485, 16833, 11922, 129, 13170, 44, 6, 5, 96070, 44308, 33070, 148023, 8568, 75579, 27877, 743, 861, 2192, 6, 4, 440, 1951, 64393, 19149, 49, 1741, 14628, 1214, 6, 4, 83694, 6, 4, 414, 108629, 180428, 214318, 3997, 39292, 49, 238359, 1768, 8148, 1203, 4768, 44, 10306, 46414, 32511, 44, 6, 5, 901, 85093, 111853, 53468, 44647, 640, 2257, 15, 13658, 130, 65310, 12635, 31646, 6, 159375, 144981, 1388, 6, 4, 45404, 227, 20065, 4768, 31459, 6, 4, 40553, 169674, 23214, 238359, 1082, 56139, 23896, 25190, 6, 5, 4946, 6, 4, 49328, 30296, 20, 175859, 90285, 48212, 3216, 12504, 77, 139964, 227, 204385, 89, 21013, 827, 29, 33799, 4798, 6, 175154, 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 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100 ]	[ 0, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 94211, 129, 105189, 130, 35, 61066, 1258, 15, 1435, 40048, 1388, 8568, 12425, 1219, 29, 227741, 128530, 8921, 175436, 44, 1089, 124159, 66653, 35, 176335, 983, 49, 211495, 1086, 31131, 97430, 135705, 29, 47388, 6737, 14891, 105855, 115906, 518, 84, 33681, 227, 105189, 29, 104922, 44326, 4485, 11231, 44, 6, 5, 901, 54315, 1258, 1435, 40048, 6, 4, 194356, 13475, 49, 8921, 103, 35556, 3216, 7572, 66639, 94970, 718, 44326, 3455, 29356, 130, 129, 6, 25821, 140444, 66261, 58215, 1082, 6, 105087, 101734, 230366, 1117, 93502, 52500, 6, 87924, 44, 202624, 142384, 68146, 44, 6, 4, 49, 2660, 20068, 35, 1145, 116416, 2958, 44, 67836, 1196, 6, 87924, 44, 6, 5, 417, 74568, 8921, 103, 175436, 5138, 152698, 35, 64388, 33739, 27135, 140129, 35, 103158, 44326, 2958, 64312, 6, 5, 36933, 2574, 6, 4, 196598, 47638, 135705, 29, 47388, 6737, 14891, 105855, 115906, 440, 84, 68628, 44326, 4485, 11231, 105189, 29, 104922, 6, 5, 3858, 67260, 2097, 49, 27833, 155195, 71141, 90890, 129, 8190, 36686, 2151, 20999, 130, 190636, 132284, 227, 424, 163529, 103158, 6, 4, 93118, 59, 17330, 29, 47388, 6737, 14891, 1551, 4798, 134686, 129, 29, 122610, 29, 104922, 6, 5, 41046, 35556, 5058, 212983, 217746, 103158, 6, 4, 93118, 59, 17330, 29, 47388, 6737, 14891, 1551, 4798, 134686, 44326, 2958, 64312, 29, 90938, 123931, 59, 44326, 59, 94788, 14171, 44326, 2958, 44459, 983, 129, 255, 103737, 3433, 7365, 88008, 3455, 32480, 130, 190636, 10094, 6, 4, 3837, 93832, 227, 29, 19011, 77, 22947, 190, 4476, 35, 80649, 4684, 22947, 2699, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 1, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100 ]	[ 0, 183886, 105445, 76588, 42269, 800, 1537, 201629, 328, 6, 4, 27136, 20, 99920, 20, 124698, 174222, 59, 5347, 526, 17831, 105, 328, 4768, 18882, 222611, 20, 49, 236270, 1041, 29933, 153505, 6, 95700, 56746, 6, 4, 30681, 24896, 63671, 71459, 5509, 34909, 35, 227747, 4798, 1741, 6417, 928, 21278, 32100, 29412, 18102, 61, 10633, 35458, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 4060, 29611, 7931, 118833, 31458, 4968, 20127, 123546, 129, 30083, 47435, 122630, 95700, 56746, 6, 4, 3837, 49, 9687, 212, 33394, 38847, 1537, 201629, 328, 84, 12747, 49, 200068, 33862, 244, 91734, 33309, 6878, 135, 30732, 419, 698, 46414, 1196, 162021, 134992, 559, 29, 18081, 358, 21069, 84926, 6, 5, 589, 17944, 74699, 1537, 201629, 328, 1709, 3007, 3988, 22052, 131834, 2562, 89, 33309, 547, 20878, 165952, 124698, 160301, 35, 2557, 15404, 37083, 35, 6, 4, 129, 82191, 3258, 57878, 6, 4, 19870, 44, 11353, 53871, 44, 1714, 13539, 2192, 650, 178611, 1047, 6, 4, 8679, 245, 52667, 73044, 54717, 183, 1739, 140129, 6, 5, 69180, 107475, 24744, 83033, 11004, 2530, 21607, 103, 129, 95700, 26730, 131834, 2562, 89, 6, 4, 9953, 6, 48531, 415, 7204, 45662, 6, 68668, 138466, 35, 123928, 227, 49, 2724, 227, 10849, 6, 5, 4805, 65053, 536, 3007, 10655, 22052, 131834, 2562, 89, 3318, 70491, 212, 6, 4, 9765, 81966, 5719, 63889, 650, 17329, 169344, 695, 6, 103348, 1551, 1270, 146925, 6, 5, 12459, 5063, 1006, 12747, 49, 10586, 11485, 105, 131834, 2562, 89, 4387, 131771, 969, 108410, 105, 35, 235539, 196107, 9309, 14029, 205, 129, 17157, 68737, 25175, 88171, 130, 208161, 6, 4, 49, 2660, 20068, 61, 529, 105, 93553, 103, 49, 105, 100924, 29933, 114884, 14879, 1355, 1006, 6, 5, 417, 252, 7812, 1200, 5434, 2699, 649, 161985, 103, 9694, 6, 24551, 2042, 228980, 4256, 49, 8865, 46414, 8441, 4987, 151609, 5672, 6010, 1355, 25485, 118833, 17575, 107475, 698, 102375, 2699, 130, 12934, 2097, 153775, 6, 4, 45147, 2151, 57414, 861, 2151, 56614, 1258, 6, 4, 25300, 2120, 512, 46603, 197, 49, 31044, 115164, 181255, 20, 188448, 43270, 743, 6, 5, 94273, 1537, 201629, 328, 6, 4, 61185, 59, 19951, 92228, 59, 6, 4, 24111, 591, 197287, 49, 39466, 103, 6, 5, 182740, 45147, 10582, 52516, 8534, 21741, 141679, 174222, 5902, 5328, 1857, 61708, 1323, 19592, 87646, 6, 4, 414, 1203, 811, 526, 2827, 126674, 103, 4988, 32366, 35, 4641, 105445, 208161, 650, 113404, 2946, 1006, 108629, 736, 2493, 73701, 59, 146041, 17575, 23052, 419, 135, 66072, 84, 46225, 3410, 135, 145527, 312, 60050, 227, 18969, 33430, 31264, 8688, 1595, 2958, 35, 6, 60927, 71141, 135419, 559, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 1, -100, -100, -100, 0, -100, 0, -100, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 1, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 1, 0, -100, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 1, -100, 0, 0, -100, -100 ]	[ 0, 8983, 9, 165618, 9880, 244, 19468, 13610, 5593, 56335, 16975, 89, 6, 4, 255, 113830, 13686, 77, 8679, 64393, 46343, 6, 4, 82363, 17330, 1741, 23369, 13953, 193275, 6, 4, 219354, 66815, 2454, 49, 153055, 476, 4256, 20, 124641, 6, 4, 14925, 49, 6, 4256, 1200, 5434, 2699, 145517, 551, 9765, 30161, 22039, 39113, 205, 6, 5, 672, 50487, 312, 77, 66505, 70856, 21967, 12747, 21515, 546, 9765, 60921, 6, 4, 92173, 59, 23969, 49, 110506, 49, 208388, 6, 4, 106064, 4831, 6, 5, 417, 25510, 173061, 534, 4476, 56335, 16975, 89, 12578, 326, 70856, 7898, 148586, 105, 2777, 14, 46048, 20, 28166, 8, 26336, 1229, 969, 83981, 1551, 6, 5, 4531, 53737, 30617, 46343, 4768, 49, 18592, 8165, 20, 129, 1739, 66689, 6, 4, 2792, 7638, 84, 9921, 2582, 227, 49, 83981, 103, 6, 5, 589, 11284, 16266, 61, 811, 41137, 130, 13686, 6, 4, 56985, 1270, 326, 70856, 5902, 6, 103348, 1041, 888, 61, 690, 6, 4, 414, 1266, 77, 108650, 24111, 695, 9287, 213229, 35, 46343, 6, 4, 1266, 30352, 14982, 29, 35130, 31514, 10130, 49, 148586, 105, 6, 5, 72504, 640, 77, 61, 7812, 4653, 546, 9765, 3926, 185945, 6, 4, 252, 43525, 148586, 59, 5712, 43097, 3844, 9765, 11978, 24898, 6, 5, 46484, 8207, 129, 591, 9685, 33394, 2582, 4256, 6, 4, 56335, 16975, 89, 22947, 36329, 227, 10094, 591, 35308, 29, 94364, 103, 6, 5, 417, 27898, 8165, 1266, 236654, 49, 33240, 16868, 205, 20151, 6, 5, 19493, 180273, 49, 46484, 49, 28506, 6, 4, 61, 19149, 49, 89735, 8007, 244, 6, 4, 171715, 59, 17330, 718, 3913, 44338, 66261, 10416, 74431, 695, 20878, 46484, 419, 53001, 59, 6, 4, 4387, 12934, 303, 22776, 2542, 6, 5, 209047, 49, 131656, 6, 4, 10604, 4286, 27663, 1214, 6, 4, 35, 6, 4, 86326, 6, 4, 49, 153055, 3281, 89, 6, 4, 150120, 4387, 23793, 5192, 819, 70048, 6, 4, 77, 8679, 73429, 30161, 59, 22039, 39113, 205, 6, 5, 56335, 16975, 89, 128089, 6527, 98962, 39540, 71972, 49, 33240, 16868, 205, 20151, 6, 4, 779, 1739, 77, 49, 139362, 6, 5, 44, 50876, 784, 9647, 66815, 2454, 6, 4, 36182, 30687, 44, 6, 4, 20, 13398, 56335, 16975, 89, 6, 5, 44, 64923, 6, 4, 784, 165616, 4401, 326, 84282, 4256, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 417, 72337, 15599, 8604, 4135, 53871, 43460, 100194, 197933, 559, 6, 4, 82417, 63640, 969, 181572, 14098, 137474, 25706, 1055, 6, 5, 17667, 312, 120006, 312, 1725, 37793, 7613, 25254, 43801, 14122, 21674, 20, 12860, 6, 242266, 49, 132653, 135, 326, 136777, 10573, 245, 29, 229110, 6, 5, 213409, 59, 130231, 59, 29, 33981, 25768, 928, 6, 4, 49, 19812, 81350, 1951, 10041, 6, 4, 414, 43801, 14122, 4387, 165200, 518, 2574, 6, 4, 3077, 44, 80077, 134222, 969, 3670, 63775, 49, 56643, 6, 4, 135, 55351, 652, 111917, 23453, 8808, 120515, 559, 6, 4, 252, 49740, 6, 4, 2176, 29, 1125, 39065, 6, 4, 1203, 120515, 227, 129, 32561, 1343, 29, 3086, 47926, 63892, 18969, 30140, 2687, 44939, 559, 29, 208595, 751, 44, 76719, 345, 39303, 711, 44, 6, 5, 36933, 2574, 6, 4, 43801, 14122, 4485, 751, 124697, 89, 3651, 28, 20, 6648, 15426, 29, 86798, 103, 6, 242266, 6, 5, 167608, 1082, 79523, 142068, 122618, 75190, 37083, 424, 20, 61, 49, 136969, 723, 77, 89476, 6, 4, 35, 129, 70710, 4256, 152067, 6, 242266, 6, 4, 5643, 46249, 49, 38185, 130, 127335, 6, 5, 34257, 77, 22947, 6, 4, 159610, 129, 30762, 1857, 34911, 38519, 41385, 58350, 56279, 86714, 419, 6, 5, 901, 88849, 156966, 751, 135, 5643, 419, 6, 242266, 100194, 345, 78703, 117742, 6880, 4768, 20783, 156804, 65376, 695, 65411, 6, 5, 4946, 6, 4, 4387, 49, 136969, 5004, 5643, 233290, 312, 177326, 89, 23214, 3433, 17524, 196403, 2557, 22573, 6, 4, 4851, 197933, 227, 5058, 130231, 89, 175300, 12657, 47952, 152, 44, 100458, 226, 49, 14276, 226, 68310, 6, 5, 5187, 197933, 227, 6, 4, 2176, 15303, 77, 518, 2574, 6, 4, 3077, 28037, 12919, 61559, 6, 5, 7796, 15303, 6, 4, 3077, 54982, 1117, 6, 4, 811, 6592, 31728, 35, 204034, 6, 5, 153, 7796, 57876, 78455, 89, 27027, 59, 6, 5, 7796, 45432, 35, 135, 56130, 1595, 690, 6, 4, 414, 6, 4, 129, 86952, 105, 85093, 6, 4, 56032, 35, 135, 56130, 742, 2530, 811, 44, 6, 5, 208494, 1041, 3076, 284, 17854, 111529, 59, 49, 151976, 192129, 24318, 6, 4, 414, 28037, 73044, 61559, 4387, 61506, 52398, 6, 5, 34257, 77, 22947, 6, 4, 3076, 284, 17854, 120549, 135, 33500, 142740, 223266, 98090, 63946, 9704, 751, 6, 5, 59283, 547, 1200, 90845, 3076, 284, 17854, 112378, 57980, 25057, 5090, 49, 71405, 6, 5, 34257, 125326, 14098, 137474, 25706, 1055, 87830, 59, 29, 6304, 95076, 61, 49, 136969, 8635, 179591, 47457, 6, 4, 313, 20, 63438, 35, 56144, 61007, 34798, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 1, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 6, 148940, 3226, 80046, 56110, 4256, 15983, 861, 2697, 105, 180725, 183, 119463, 50406, 35, 50671, 49, 8568, 255, 54023, 106784, 13022, 7765, 25077, 559, 42020, 23248, 61256, 312, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 115165, 83694, 6, 4, 414, 41976, 175030, 51452, 77, 3150, 44, 129, 218887, 88386, 99598, 150527, 13237, 138636, 44, 6, 5, 417, 131509, 6, 4, 84014, 15983, 861, 2697, 6, 4, 25157, 50671, 255, 54023, 106784, 13022, 7765, 25077, 559, 49637, 32622, 31224, 6, 5, 21199, 1725, 529, 28579, 59585, 129, 89993, 130, 135, 25077, 1281, 49, 193868, 4798, 16372, 1719, 77, 235129, 197, 6, 4, 40553, 42420, 29751, 44, 44265, 1656, 152781, 2868, 16176, 25077, 424, 5138, 43244, 695, 33325, 59, 214463, 559, 44, 6, 5, 3499, 8778, 424, 37655, 44, 77, 105, 11485, 1196, 22645, 559, 44, 77, 16247, 19408, 812, 6, 4, 111529, 56110, 983, 15983, 861, 2697, 6, 5, 672, 118816, 512, 6, 4, 49, 105412, 244, 151263, 51452, 11053, 19149, 8808, 214463, 559, 6, 5, 44, 417, 4988, 2172, 7904, 5328, 77, 3318, 47525, 38952, 16176, 64388, 4968, 6794, 2192, 25077, 44, 6, 4, 20, 143675, 1266, 6, 5, 1435, 11185, 80046, 38854, 152, 43993, 204051, 312, 22645, 105, 58953, 29, 16122, 33372, 151263, 175030, 51452, 19147, 2294, 49922, 222676, 1813, 723, 2697, 6, 5, 417, 10757, 20755, 56110, 983, 15983, 861, 2697, 4768, 1080, 214461, 6, 4, 414, 77, 69695, 811, 66406, 13953, 8914, 22645, 67787, 6, 4, 2696, 9765, 199544, 69306, 3410, 45440, 1521, 2097, 1813, 723, 7343, 16176, 9661, 53173, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 70109, 115165, 80046, 56110, 983, 15983, 861, 2697, 181866, 6365, 84242, 20, 9765, 90216, 10041, 12069, 2699, 6, 5, 20224, 105526, 650, 983, 5902, 16286, 62640, 2578, 2716, 52442, 113932, 115165, 105, 104289, 27183, 6, 5, 1721, 652, 1394, 529, 9945, 2549, 163955, 1082, 115165, 59, 87543, 99251, 89, 21990, 6, 4, 31843, 66751, 59, 71662, 244, 21259, 6, 4, 5058, 113932, 23294, 56110, 4256, 114548, 861, 2697, 105, 160466, 120553, 18293, 50606, 1719, 49, 20755, 135, 1739, 132709, 84242, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 2, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100 ]	[ 0, 120109, 233748, 2151, 129, 8790, 1794, 11312, 11849, 74019, 2958, 171308, 29532, 183, 13510, 48520, 21515, 6527, 108629, 736, 1394, 129963, 1857, 27040, 49, 6, 237560, 5902, 8148, 6, 5, 98965, 13385, 6, 4, 47554, 1857, 23294, 8865, 23581, 27673, 2582, 13449, 193182, 44, 97836, 44, 183, 71226, 695, 63283, 59, 83311, 44970, 97727, 4753, 118240, 8871, 184045, 59, 65960, 59, 25043, 38236, 1417, 6, 4, 135, 33846, 48341, 61, 203655, 34622, 57283, 6878, 142861, 174359, 245, 8148, 6, 4, 94347, 75200, 171985, 63671, 49, 11978, 24898, 129963, 227, 424, 66510, 58918, 380, 5341, 103, 14193, 1196, 6, 4, 252, 690, 35, 90208, 3734, 87781, 6, 5, 672, 23294, 45403, 49, 48874, 20765, 25455, 6, 4, 90229, 28535, 49, 68642, 44, 129963, 1857, 60637, 89, 30462, 1993, 44, 60229, 1381, 9561, 6, 5, 156087, 5308, 20, 21607, 103, 19878, 6, 5, 1813, 1891, 1857, 84833, 6826, 23633, 129320, 103, 183, 13510, 27183, 216019, 90208, 3734, 1584, 827, 6, 24438, 526, 6467, 129, 4132, 11231, 35, 16739, 23453, 1749, 15891, 17794, 1281, 6, 4, 78536, 111807, 49, 67527, 42953, 36689, 29153, 1196, 49987, 244, 6, 5, 79615, 12826, 33762, 30271, 1196, 129963, 26730, 110468, 12504, 49, 67739, 147620, 13994, 29412, 210275, 244, 177462, 3577, 203746, 6, 5, 24837, 72305, 3433, 24940, 88897, 54307, 1281, 819, 109234, 129320, 103, 6, 5, 5187, 234075, 159610, 6, 4, 25514, 232501, 1009, 183, 201818, 245, 49, 11978, 24898, 77, 20687, 103, 14193, 1196, 129963, 559, 23858, 40403, 73429, 80532, 201499, 63214, 10948, 197, 225697, 1196, 33641, 3407, 38850, 20, 173387, 227, 6, 4, 1093, 18954, 1874, 6, 4, 21302, 227, 6, 5, 589, 5347, 1625, 387, 1745, 57283, 125867, 61, 203655, 34622, 46, 56583, 35, 969, 45426, 751, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 1, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 3499, 13539, 3997, 49, 229110, 29, 98101, 1993, 8983, 9, 312, 20, 35, 222255, 49, 3920, 21714, 103, 20, 119906, 1768, 17066, 20545, 24438, 89, 78305, 6, 4, 119906, 4018, 34078, 1041, 78305, 5957, 85037, 89, 158603, 303, 39775, 7846, 718, 811, 18954, 1269, 4866, 1768, 57615, 49, 51752, 55134, 1270, 49, 74546, 91917, 59, 49, 7843, 11284, 22480, 6, 4, 4851, 529, 48981, 72942, 142598, 4988, 227500, 6, 5, 5957, 15052, 158603, 303, 214461, 6, 4, 414, 76903, 8679, 546, 7900, 48618, 6, 4, 4222, 78305, 77, 208902, 126995, 62344, 3795, 4866, 4798, 116731, 20, 1145, 6, 4, 20292, 652, 34358, 90984, 59650, 49, 167313, 24809, 4256, 5712, 77, 2120, 6, 231378, 28832, 197, 80643, 419, 79449, 34911, 6, 5, 119906, 4018, 34078, 1041, 57231, 132849, 547, 35734, 41736, 2052, 743, 44, 142774, 4018, 12049, 44, 20, 29, 2052, 652, 72907, 989, 29, 10262, 244, 105539, 8830, 1794, 24499, 100910, 22959, 78305, 49, 6, 191210, 419, 50195, 55809, 6, 4, 36182, 55134, 1874, 147000, 7638, 125970, 227, 2530, 3738, 78601, 245, 214031, 89, 6, 5, 5957, 15052, 158603, 303, 5058, 111529, 6, 4, 414, 85645, 103, 49, 74546, 123546, 78305, 9395, 222255, 30140, 1768, 35, 129, 115834, 3549, 31969, 2574, 6, 4, 414, 78305, 77, 208902, 230366, 1117, 81985, 5999, 14722, 49, 73869, 244, 98732, 72539, 26087, 1281, 6, 5, 185020, 135, 6010, 119906, 4018, 34078, 1041, 78305, 155195, 547, 6, 4, 414, 518, 22480, 6, 4, 3837, 529, 48981, 32942, 142598, 4988, 18969, 22776, 6, 4, 22498, 14086, 1752, 151187, 132128, 6, 4, 819, 44, 42136, 19776, 207893, 44, 637, 44, 43475, 40342, 197516, 44, 6, 4, 7329, 77, 14219, 44, 38503, 312, 61, 4485, 11452, 44, 6, 5, 44, 4805, 51452, 14219, 53891, 6, 4, 414, 44683, 34911, 3150, 149843, 61949, 4988, 5308, 73869, 103, 20850, 6, 4, 3077, 197260, 142598, 4988, 227500, 6, 4, 11922, 51452, 77, 14219, 440, 227014, 718, 62344, 2151, 27404, 50786, 2097, 130, 49, 109779, 103, 29, 44, 649, 46235, 3795, 31264, 698, 125802, 124966, 44, 6, 4, 20, 83694, 1266, 6, 5, 48122, 23369, 78305, 214461, 6, 4, 414, 44, 205045, 245, 11968, 40542, 94431, 49, 45044, 129, 14276, 13701, 6, 83389, 207893, 59, 3318, 326, 78474, 92031, 105280, 89, 529, 6, 4446, 55848, 77881, 185161, 35, 5712, 135, 49, 42545, 1125, 1447, 58706, 44, 6, 4, 779, 6010, 77, 22947, 6, 4, 44, 1097, 11968, 40542, 8007, 6, 4, 40473, 2176, 13995, 146038, 85896, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 1, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 1, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 1, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 128699, 419, 49, 1450, 957, 64393, 158263, 99920, 20, 40010, 9403, 21996, 27910, 29, 91821, 103, 135, 40010, 419, 66699, 65960, 419, 61045, 103355, 55994, 35, 107043, 20, 115165, 419, 417, 43223, 15459, 1711, 10604, 1857, 589, 3806, 97440, 1768, 228226, 61319, 407, 233995, 89, 145583, 130, 8568, 836, 119882, 28403, 518, 218529, 6, 103737, 312, 40687, 114872, 130, 90229, 28535, 35, 232501, 1595, 49, 41841, 184104, 39255, 86672, 49, 417, 43223, 15459, 4446, 6, 4, 20, 106064, 193182, 44, 97836, 44, 6, 5, 2857, 2188, 20, 115165, 59, 417, 43223, 15459, 1711, 185278, 6, 4, 414, 89359, 29611, 9159, 24192, 10416, 91917, 105, 61, 98573, 2192, 183, 150558, 29, 591, 4401, 5013, 1086, 80319, 13701, 179441, 104000, 6, 5, 10604, 212, 31866, 33066, 7343, 61, 3806, 6880, 6, 4, 414, 11922, 11875, 213886, 222, 29, 226498, 194849, 312, 40687, 232501, 1595, 6, 5, 901, 66689, 589, 3806, 97440, 1768, 6, 4, 21996, 27910, 79015, 6, 4, 414, 207926, 197, 35, 128815, 128530, 407, 233995, 89, 18102, 29, 34526, 12758, 145972, 8979, 49, 417, 43223, 15459, 4446, 6, 4, 41346, 6, 81660, 36274, 29, 187928, 2715, 3318, 158369, 989, 44, 326, 90984, 4798, 44515, 44, 6, 4, 1145, 44818, 67298, 12504, 20, 194849, 81871, 57709, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, 0, 1, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 1, -100, 0, -100, 1, 0, -100, 1, -100, 0, -100, 1, 0, -100, 1, 0, -100, 1, 0, -100, 1, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 1, 0, -100, 1, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 1, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 6, 182678, 227, 43475, 20, 103089, 44, 55270, 59344, 6794, 751, 44, 78536, 6878, 49, 34992, 13701, 76097, 2542, 81491, 131656, 49, 83891, 103, 29, 238270, 129, 44, 87149, 103, 3576, 44, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 8664, 85124, 20, 34078, 245, 164299, 76097, 2542, 81491, 51233, 33795, 103, 677, 4946, 103, 6, 4, 47435, 89244, 424, 4560, 62156, 6, 4, 8568, 6, 4, 93224, 227, 6, 4, 14560, 6, 4, 175857, 6, 4, 231547, 6, 4, 85028, 89, 35, 37724, 1993, 198497, 13287, 44, 21726, 148819, 1203, 84820, 103, 167781, 6, 4, 3077, 13524, 13713, 3410, 168285, 218698, 518, 6826, 6, 4, 40473, 489, 1343, 49, 3651, 5712, 92084, 47265, 19724, 13702, 751, 49, 105975, 124998, 6, 195172, 2364, 44, 6, 5, 901, 66689, 4946, 103, 6, 4, 6314, 60407, 88210, 66129, 61453, 44, 77, 512, 9753, 3795, 90466, 44, 6, 4, 14925, 3318, 96012, 160343, 1203, 84820, 103, 33689, 29, 415, 957, 336, 35, 94454, 3738, 33372, 526, 10582, 779, 1891, 6, 5, 589, 10757, 66072, 14909, 123942, 111712, 529, 7762, 8688, 2151, 8544, 419, 6, 4, 234577, 89, 237041, 1281, 35, 128530, 827, 175857, 6, 4, 14560, 35, 231547, 6, 5, 70302, 6010, 6, 4, 107544, 148177, 103, 13842, 131656, 35, 9977, 22480, 44, 59344, 6794, 751, 44, 232516, 89, 29, 3699, 45256, 59, 227500, 49, 121250, 21069, 103, 59658, 103, 114191, 197260, 31096, 29692, 227, 8808, 80814, 1196, 46950, 5573, 37083, 6, 5, 417, 71007, 6, 4, 128628, 47265, 159610, 97062, 6, 4, 414, 62344, 2192, 44, 23052, 110161, 1857, 34911, 44, 15856, 3505, 104650, 29, 1203, 326, 40342, 35, 207112, 103, 192135, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, 1, -100, -100, 2, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 1, -100, -100, 2, -100, 2, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 1, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100 ]	[ 0, 417, 1450, 957, 64393, 158263, 49, 64230, 103, 31458, 989, 120023, 61373, 196107, 86951, 44, 4056, 24214, 40342, 31465, 1584, 4988, 7244, 89499, 6, 5, 44, 6, 4, 518, 73747, 989, 135, 25562, 9571, 2699, 6, 5, 4056, 24214, 40342, 31465, 1584, 163364, 49, 18720, 132943, 76097, 2542, 6, 743, 2509, 8441, 9439, 130, 100895, 35, 129, 1085, 328, 88164, 13237, 208161, 7244, 49, 150574, 1993, 14448, 21408, 85193, 44494, 6, 105087, 15, 84, 215592, 255, 546, 49, 2510, 1745, 56139, 179239, 1196, 8269, 6, 4, 54592, 255, 11360, 235552, 90898, 29, 68096, 179239, 1196, 8269, 518, 811, 82988, 46221, 124551, 59, 10086, 98224, 6, 4, 197604, 152675, 61, 5347, 72192, 28727, 29, 13237, 39084, 1874, 157661, 6, 4, 226498, 30037, 17425, 29, 24605, 559, 6, 4, 44, 77, 5141, 59650, 44, 718, 14448, 1455, 380, 40924, 6194, 154327, 1041, 11312, 6, 4, 35, 1145, 82871, 1388, 6, 5, 179296, 227, 7244, 6, 4, 529, 14879, 22239, 6, 4, 98962, 183, 3806, 29034, 1203, 208161, 35, 49, 194539, 1080, 190369, 6, 4, 414, 77, 15891, 48766, 197, 29, 85286, 196666, 16642, 61, 690, 6, 4, 414, 2732, 185291, 6, 5, 5187, 106064, 3336, 297, 1833, 6, 4, 30321, 17471, 184340, 121706, 58877, 526, 168641, 6546, 6, 4, 969, 23434, 652, 160309, 173545, 197, 42566, 6, 4, 131704, 811, 96159, 547, 6, 65184, 1085, 41385, 1009, 45086, 6, 4, 77, 61, 15016, 1688, 14806, 129993, 6, 5, 20555, 29, 78029, 551, 6, 4, 35, 61, 1097, 4641, 151609, 1343, 718, 56614, 105, 6, 5, 20555, 77, 718, 56614, 105, 6, 4, 252, 718, 29, 106261, 86092, 1719, 85488, 20151, 1388, 49, 25510, 196507, 244, 51682, 6, 5, 21199, 77, 132284, 197, 6, 4, 414, 6, 72026, 1996, 5842, 145583, 130, 14560, 35, 7244, 69893, 6439, 4354, 35, 126320, 380, 1741, 17157, 4354, 49, 203898, 21069, 103, 59658, 103, 6, 5, 672, 65111, 677, 15137, 59523, 4684, 6, 4, 414, 71761, 183, 2574, 6, 4, 49, 2390, 18372, 73534, 3318, 205883, 197, 13299, 6, 4, 4988, 2233, 139929, 193547, 1086, 58490, 67754, 13299, 4060, 1041, 89, 168641, 6546, 59, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 1, -100, -100, 0, 0, 0, 0, 1, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 1, 2, 2, 2, 2, 2, 2, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 1, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100 ]	[ 0, 26928, 695, 169489, 62705, 1435, 8113, 1560, 811, 1200, 11892, 424, 969, 72522, 2697, 1270, 48352, 2697, 8809, 35, 87830, 13428, 29, 72886, 43971, 6, 5, 17667, 7330, 4476, 5719, 129, 38505, 105, 25611, 20, 199538, 20, 237252, 20, 72886, 1447, 23457, 6, 4, 35, 12826, 31482, 19306, 6, 4, 3738, 77, 77627, 58953, 61, 15919, 751, 6, 4, 163081, 145517, 551, 6, 130045, 1719, 6, 38491, 11835, 6, 147927, 4018, 115888, 6, 5, 5187, 79015, 89, 49, 128379, 29933, 536, 11185, 37134, 1219, 205, 49, 217601, 6, 4, 414, 1266, 15856, 440, 4682, 1117, 49, 87114, 24410, 2192, 14909, 72886, 9121, 245, 23294, 137060, 129, 690, 18245, 108912, 13686, 6, 4, 690, 3549, 49, 159968, 129, 163955, 4045, 6, 5, 672, 1739, 18999, 1882, 20, 4948, 9561, 35, 201, 174478, 2958, 59095, 89, 6, 5, 213409, 105, 11125, 38664, 87646, 39061, 217163, 131567, 59123, 59, 97331, 99059, 145797, 312, 197530, 93362, 148161, 6, 5, 1382, 811, 7330, 105, 67759, 6878, 5058, 35, 215790, 67142, 751, 6, 4, 779, 127104, 34358, 145583, 75566, 169066, 197, 49, 61070, 2530, 186923, 29751, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, 1, -100, -100, -100, 0, 1, -100, -100, -100, -100, -100, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100 ]	[ 0, 62640, 2578, 2716, 52442, 49, 440, 24178, 22573, 1993, 26034, 1521, 245, 3681, 1768, 5482, 228226, 105, 14539, 407, 109334, 11153, 45073, 89, 151263, 1435, 8113, 1560, 6, 169849, 1768, 41287, 197, 245, 16753, 16286, 1323, 1749, 183704, 35, 118176, 1316, 130, 6, 4, 49865, 5969, 1874, 440, 164411, 1993, 326, 89, 94738, 39129, 680, 49, 6, 30902, 127949, 95495, 33111, 6, 5, 5187, 79015, 193182, 44, 97836, 44, 79171, 20, 34078, 1041, 151263, 695, 2871, 2562, 2542, 154888, 4910, 136458, 303, 6, 4, 62640, 2578, 2716, 52442, 228226, 5058, 61319, 2732, 18143, 861, 45073, 89, 47435, 102445, 1435, 8113, 1560, 126795, 1281, 35, 71194, 16662, 61, 1719, 183704, 6, 4, 183, 1120, 5482, 35, 1400, 512, 3806, 861, 124966, 6, 4, 49865, 5969, 1874, 440, 5347, 35333, 56254, 179337, 61, 677, 1394, 6, 4, 119436, 135, 39080, 419, 518, 10094, 6, 5, 119123, 1435, 8113, 1560, 255, 48034, 547, 13022, 105, 407, 68642, 34526, 12758, 139425, 19421, 49, 22474, 3806, 476, 28535, 989, 90984, 61405, 743, 3577, 32822, 2697, 1537, 512, 52926, 7898, 35, 5561, 53352, 4853, 7898, 168731, 1214, 1721, 1521, 5573, 59, 6, 5, 5188, 3920, 87543, 3681, 1768, 5482, 79015, 6, 4, 183, 2743, 65915, 29, 2325, 55682, 193182, 44, 97836, 44, 3738, 148994, 135, 13022, 419, 6, 5, 68406, 8979, 6, 4, 129, 1739, 66689, 6, 4, 44, 35, 33364, 129, 74553, 49, 20960, 135, 128815, 130, 128530, 44, 6, 5, 96070, 591, 195996, 53871, 180382, 51452, 407, 22156, 1435, 8113, 1560, 49, 92736, 312, 38060, 2687, 6, 4, 4851, 201, 67165, 49, 41841, 223829, 59, 4387, 1080, 79734, 37675, 1768, 12164, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 1, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 1, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 1, -100, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100 ]	[ 0, 75150, 12635, 69765, 114333, 969, 15919, 7310, 122147, 164117, 152, 44, 61, 44, 591, 67492, 62852, 6, 122381, 9561, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 49, 69765, 103, 241820, 989, 16206, 29, 690, 6, 4, 414, 94211, 197530, 8568, 35, 22238, 141036, 29306, 76122, 208350, 12747, 6, 4, 49, 12703, 200438, 50370, 62739, 59, 326, 103342, 41822, 6, 4, 49, 81985, 94970, 61319, 559, 50406, 30296, 18315, 361, 3742, 183, 611, 25562, 11891, 2699, 35, 18315, 702, 13683, 183, 1662, 53754, 9571, 2699, 116069, 4684, 85645, 21465, 3735, 36689, 20, 171715, 26730, 518, 109677, 36334, 49, 40238, 127796, 1196, 44267, 559, 35, 518, 127435, 49, 3577, 103, 29532, 20850, 244, 1093, 1725, 78601, 245, 6, 5, 5187, 181866, 989, 49, 13053, 103, 6, 4, 44, 45723, 7900, 78136, 6, 4, 4222, 52353, 68919, 21465, 3735, 44653, 116069, 6878, 518, 127435, 49, 3577, 103, 29532, 20850, 244, 49, 19877, 1521, 89504, 94454, 135, 171715, 1196, 165108, 44, 6, 5, 44, 50006, 1117, 52353, 68919, 21465, 3735, 36689, 6, 4, 33520, 1196, 49, 1721, 1521, 5573, 6, 4, 129, 39730, 13237, 11420, 50628, 227, 22474, 193184, 130, 529, 22239, 31915, 68146, 44, 6, 4, 20, 181866, 989, 49, 69765, 103, 6, 5, 44, 417, 38849, 5930, 5969, 5509, 202123, 1595, 811, 121973, 130, 157592, 39300, 91917, 59, 8568, 407, 2660, 6, 4, 414, 123093, 227, 6, 4, 90402, 170237, 326, 113447, 56162, 105, 129, 171715, 105, 6, 4, 6, 81858, 4684, 14357, 85645, 21465, 3735, 36689, 6, 4, 135, 109225, 1323, 13713, 56279, 73869, 103, 58514, 227, 6, 4, 94211, 197530, 49, 212958, 41747, 3699, 49, 81985, 77, 2530, 30984, 212, 39673, 1196, 61319, 559, 114027, 59, 6, 4, 779, 35, 172365, 212855, 202345, 68604, 6, 4, 116069, 1730, 518, 127435, 49, 3577, 103, 29532, 20850, 244, 49, 1721, 1521, 89504, 52353, 68919, 21465, 3735, 36689, 6, 4, 591, 121760, 63671, 22947, 5691, 244, 51682, 44, 6, 4, 20, 969, 119509, 88897, 49, 69765, 103, 6, 5, 233070, 6, 4, 414, 29, 10262, 244, 20070, 225337, 59, 3216, 70222, 238725, 3410, 171715, 49, 51464, 4256, 29, 30724, 141272, 89, 49, 20755, 135, 1670, 56300, 743, 49, 1721, 1521, 89504, 20803, 14423, 6168, 155777, 424, 225337, 59, 6, 5, 44, 7762, 130, 158549, 130, 201971, 77, 1145, 26124, 183, 220442, 18969, 3429, 1447, 1343, 29, 203981, 6, 4, 779, 77, 11064, 255, 6592, 677, 2454, 6, 4, 3077, 223829, 227, 157599, 49, 117037, 60985, 103, 16286, 830, 9, 13398, 1266, 6, 5, 70302, 6010, 223878, 559, 5058, 83694, 6, 4, 414, 187302, 13299, 49, 78317, 1993, 159669, 6, 4, 44, 3837, 2294, 49827, 546, 16176, 189604, 4798, 6871, 827, 743, 6, 208229, 6, 4, 74576, 1857, 44, 6, 5, 44, 150236, 207926, 2151, 184104, 1258, 13995, 49675, 197, 135977, 75748, 147510, 32631, 47853, 54976, 326, 40342, 830, 9, 38854, 87474, 56590, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, -100, 2, -100, 2, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 1, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 1, -100, 2, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 1, 0, 0, 0, -100, 0, -100, -100, -100, 1, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100 ]	[ 0, 10405, 29864, 415, 718, 209714, 33372, 42420, 78785, 21059, 59, 6, 4, 35, 4301, 13110, 1281, 29725, 237748, 89, 49, 229110, 5606, 147251, 559, 52500, 193240, 8568, 6, 4, 44, 35253, 112562, 59, 44, 6, 5, 5188, 3920, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 180382, 91791, 25043, 32100, 8809, 88269, 1270, 103380, 89837, 181982, 2946, 6, 5, 33317, 103, 42420, 130914, 153558, 2715, 11004, 58918, 380, 22002, 380, 44213, 63162, 23574, 78285, 56804, 130, 44, 56639, 3280, 44, 6, 5, 22146, 9228, 212, 54412, 88650, 3107, 86079, 2715, 44, 30236, 1203, 13237, 66855, 6, 4, 31084, 35, 124582, 6, 4, 3077, 96924, 58431, 1196, 35, 153712, 2958, 6826, 44, 49, 193868, 4798, 34879, 1719, 6, 5, 901, 66689, 181982, 2946, 6, 4, 29, 141140, 6365, 718, 35734, 153558, 4256, 3216, 440, 170225, 10041, 5138, 836, 103089, 79449, 16286, 6, 5, 85191, 38664, 3410, 141036, 19776, 55677, 115412, 107985, 21059, 59, 125271, 89, 137986, 111720, 129, 6, 237037, 3455, 39292, 130, 9403, 26034, 1521, 743, 3681, 1768, 5482, 6, 5, 901, 85093, 89837, 181982, 2946, 6, 4, 1097, 64787, 6, 4, 63314, 8118, 6, 4, 3318, 102823, 6, 5, 672, 65111, 677, 15137, 183, 56894, 4684, 6, 4, 414, 63889, 21059, 20, 145089, 153558, 2715, 6, 4, 159069, 75586, 29725, 76784, 5719, 94454, 424, 201971, 6, 5, 901, 66689, 147251, 59, 32857, 5902, 8148, 89837, 14853, 1976, 44806, 6, 4, 44, 27830, 40665, 125115, 1203, 130380, 155171, 49, 41796, 244, 44, 35, 6, 4, 129, 1739, 85093, 6, 4, 44, 440, 18036, 124998, 21059, 59, 718, 65562, 9072, 440, 76791, 27731, 77, 2530, 27984, 54976, 31843, 227, 6, 4, 779, 35, 22238, 85096, 103, 35, 151524, 77472, 49, 8568, 9542, 44, 6, 5, 22146, 9228, 212, 7365, 25043, 32100, 751, 40331, 181982, 559, 5058, 136720, 6, 4, 414, 63889, 21059, 44, 49, 152280, 103, 3699, 38519, 46896, 222, 211783, 743, 189495, 21259, 8568, 44, 6, 5, 901, 87037, 130, 804, 72359, 20, 36690, 45961, 6, 4, 40010, 1435, 8113, 1560, 4768, 77, 55800, 187738, 695, 154669, 29, 64787, 11125, 38664, 3410, 56804, 44, 56639, 3280, 44, 6, 4, 779, 84014, 6, 4, 414, 44, 54982, 1117, 529, 22239, 61, 591, 9685, 124387, 1595, 158802, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 1, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 1, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100 ]	[ 0, 417, 62994, 21607, 312, 928, 31843, 559, 59156, 18846, 4286, 34664, 176699, 22645, 559, 49, 226519, 227, 183, 42420, 78785, 21059, 59, 44, 189604, 983, 59156, 50917, 2192, 55692, 58, 2325, 27465, 31843, 61708, 87543, 126770, 105, 14480, 6, 4, 2294, 64393, 23241, 1382, 3122, 2632, 86230, 69086, 197, 5930, 6, 4, 217163, 2262, 2687, 1125, 205, 2033, 6, 203632, 86230, 130392, 6, 5, 5188, 3920, 79015, 8865, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 6, 4, 98084, 99582, 407, 61, 3806, 65639, 736, 39065, 326, 158263, 141680, 419, 135, 110506, 103, 6, 203632, 6, 4, 79171, 20, 34078, 1041, 26034, 1521, 245, 22570, 5013, 49326, 6, 5, 901, 1739, 66689, 6, 4, 59156, 18846, 4286, 50560, 55677, 22645, 559, 49, 226519, 227, 238453, 227, 3318, 33520, 49, 5561, 52619, 1039, 67165, 6, 5, 189604, 983, 59156, 50917, 2192, 55692, 819, 181255, 20, 6, 145527, 103, 56804, 4387, 79115, 12672, 419, 65346, 1082, 79449, 221371, 26034, 1521, 1551, 126770, 41221, 2151, 129, 94687, 103, 194230, 141558, 221371, 20, 103089, 33567, 5902, 47435, 44, 39749, 44, 6, 5, 6, 162437, 45939, 78835, 74958, 54064, 7031, 49, 52429, 1381, 60115, 12898, 2699, 6, 5, 10405, 8492, 4544, 20, 29, 33981, 6, 203632, 59, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 1, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 1, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 1, -100, -100, 0, -100, 1, 2, 2, -100, 0, -100, 1, -100, 0, -100, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 1, -100, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 1, -100, 2, -100, 0, -100, -100 ]	[ 0, 1087, 160031, 101756, 141536, 89, 1085, 175414, 49, 6304, 3738, 1086, 19890, 89, 216041, 29, 5308, 29, 50487, 312, 77, 66505, 25982, 5192, 222, 39255, 84, 103300, 59, 4560, 1219, 28908, 6, 4, 819, 326, 158263, 172500, 128082, 36553, 59, 6, 4, 29, 9661, 1080, 135, 180774, 6, 4, 20, 27890, 30085, 303, 29170, 2827, 6, 5, 4531, 2511, 2827, 103886, 29, 6, 743, 861, 1874, 16229, 227, 16443, 205, 135, 9880, 35866, 415, 94738, 61, 16760, 6, 4, 100288, 245, 135, 22615, 6, 14709, 303, 145787, 82305, 89, 35, 137689, 652, 50560, 180054, 6, 4, 136647, 29725, 93673, 551, 16846, 805, 184516, 559, 49, 2707, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 49, 110642, 16266, 205, 1087, 312, 56081, 650, 811, 100619, 9953, 5316, 33930, 407, 36792, 2697, 6, 5, 417, 44912, 103, 36606, 2716, 4184, 3216, 61, 33070, 38482, 212669, 496, 55013, 6, 5, 22146, 9228, 212, 7365, 141536, 89, 1085, 1729, 99437, 1447, 10962, 736, 4768, 49, 229110, 206096, 407, 216019, 312, 33111, 49, 9103, 424, 12661, 44912, 559, 16443, 205, 6, 5, 92873, 89, 101688, 227, 49, 72305, 110161, 1857, 149001, 89, 211398, 186397, 1070, 112298, 1993, 6, 5, 27541, 94788, 440, 34959, 146025, 177237, 147287, 1488, 2380, 7533, 43917, 27731, 9037, 35, 117308, 84, 35458, 40729, 49, 37156, 1196, 161057, 6, 5, 2842, 158263, 7638, 202875, 46997, 49, 171410, 63601, 6346, 205, 6, 4, 188914, 20, 76813, 31126, 6, 4, 4328, 44379, 6, 4, 160052, 650, 10698, 197, 6, 5, 1087, 5711, 546, 141036, 29306, 72767, 6, 5, 901, 38319, 312, 30826, 75541, 148586, 559, 183, 1488, 3107, 1203, 110400, 227, 6, 5, 901, 147587, 130, 18872, 112395, 92261, 6, 4, 29170, 546, 23294, 1741, 2687, 39140, 41362, 141536, 89, 2395, 35, 44, 61, 84808, 25126, 44, 4851, 20, 6, 23257, 2511, 12489, 827, 167386, 39255, 85169, 59, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 1, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 6, 186143, 29, 387, 20, 714, 1745, 163637, 8941, 79225, 29, 96343, 6, 5, 1721, 38964, 6, 126794, 4026, 149601, 49, 141011, 238359, 1768, 13117, 44, 95723, 5482, 65347, 3988, 226, 49205, 44, 6, 5, 901, 147587, 130, 43086, 559, 6, 4, 79225, 29, 8898, 2757, 65310, 7765, 6, 51756, 1560, 43801, 7330, 1343, 4296, 31104, 20, 25748, 3738, 2574, 6, 4, 819, 14219, 70976, 9302, 14582, 77, 56505, 2715, 54883, 227, 105897, 1120, 6, 5, 80773, 96343, 536, 89, 9, 12231, 3318, 18510, 1041, 49, 6, 186143, 77, 22947, 361, 28403, 61, 182903, 6, 4, 536, 89, 9, 11835, 20, 9953, 190, 28403, 6, 4, 4476, 17260, 144448, 120181, 9471, 28671, 20, 57457, 44791, 28403, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0 ]	[ 0, 44683, 198504, 312, 16372, 8635, 109810, 13299, 3433, 122894, 23294, 49, 43136, 226, 128815, 6, 4, 78467, 5509, 135, 68487, 39242, 33372, 53979, 106828, 89, 44, 127193, 175154, 44, 6, 5, 110869, 207926, 197, 18901, 26054, 4281, 65506, 1281, 20, 129, 68576, 6, 4, 138900, 89, 35, 6, 201256, 50786, 147149, 6, 4, 129, 167137, 35, 129, 149178, 91082, 6, 5, 5187, 79015, 200093, 6, 30363, 8809, 147459, 129, 25821, 25337, 4544, 93362, 10962, 358, 1068, 6, 4, 49, 8921, 103, 175436, 16372, 8635, 14628, 21452, 6, 4, 414, 44, 68487, 2715, 33372, 53979, 44, 127193, 175154, 44, 50487, 2042, 102520, 103, 6, 4, 220438, 105855, 50370, 44, 1089, 176335, 1114, 244, 35, 17512, 103, 46221, 244, 718, 73330, 44, 1089, 138900, 89, 44, 6, 4, 7176, 6, 235138, 234438, 29, 162247, 529, 37682, 7044, 103254, 2151, 43475, 83118, 28059, 419, 44, 6, 5, 21199, 6, 4, 214461, 10962, 358, 1068, 6, 4, 44, 2176, 3216, 424, 92161, 9661, 13962, 35, 105, 32155, 35669, 6, 4, 414, 44, 127193, 175154, 44, 18135, 4948, 97513, 6, 83389, 415, 30943, 551, 35, 714, 97513, 20, 5934, 1270, 6, 5, 25369, 68487, 2715, 33372, 208151, 59, 23494, 2120, 2294, 39768, 1041, 49, 20960, 135, 50370, 58, 28936, 77830, 1196, 49962, 244, 44, 6, 4, 61319, 3844, 33567, 6, 5, 44, 417, 62399, 2042, 12758, 90679, 2176, 21726, 1595, 145583, 55389, 68487, 2715, 1521, 14307, 34664, 53979, 49, 20960, 135, 50370, 44, 6, 4, 20, 79971, 3873, 10962, 358, 1068, 6, 5, 12386, 3988, 12204, 222, 13072, 12739, 21990, 35, 27877, 743, 861, 1270, 135, 94284, 2716, 103, 63781, 98260, 56701, 4653, 6527, 49, 150926, 11, 6, 5, 4518, 135, 38306, 33846, 6, 5, 14853, 1417, 120323, 13117, 84014, 6, 4, 414, 44267, 3150, 2042, 60927, 1117, 29, 13299, 195799, 695, 27617, 231951, 35, 23214, 132, 4187, 58382, 6929, 1388, 129, 150340, 407, 6, 81660, 124998, 207112, 15981, 695, 101327, 59, 20, 37224, 36975, 5902, 234497, 1857, 22937, 6, 5, 2578, 58382, 6929, 88650, 14424, 5514, 58350, 124966, 49, 20755, 135, 92358, 827, 93096, 99393, 44, 127193, 175154, 58, 6, 5, 34307, 113932, 129001, 6, 123967, 4256, 94284, 2716, 3407, 105, 135, 591, 4401, 43417, 44, 49, 23334, 10190, 512, 47265, 121690, 232336, 969, 8492, 3795, 42689, 129, 52667, 105, 193385, 244, 128297, 93096, 44, 127193, 336, 139120, 44, 6, 5, 417, 242697, 49, 138249, 44, 804, 328, 3281, 44, 94284, 2716, 3407, 81650, 45440, 476, 66261, 21354, 111035, 5295, 49, 28344, 130, 156796, 103, 1086, 93661, 1214, 18531, 11255, 127879, 138642, 1117, 1739, 49, 6, 103348, 1041, 1719, 44, 637, 16176, 18334, 20, 414, 129, 14553, 3516, 44, 6, 5, 164076, 63111, 2097, 6, 4, 129, 66689, 94284, 2716, 10653, 6, 4, 7638, 23793, 46603, 227, 51270, 419, 18531, 11255, 17999, 1551, 49, 5934, 1857, 100608, 103, 135, 128590, 226, 31224, 44, 127193, 336, 139120, 44, 77, 70225, 43223, 255, 407, 54671, 45662, 71302, 6, 5, 5187, 79015, 89, 193182, 44, 97836, 44, 49, 3732, 95985, 242711, 58, 209472, 336, 139120, 44, 6, 4, 112827, 227, 13117, 1611, 37329, 546, 9953, 387, 208420, 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 ]
[ -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 1, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 1, 0, -100, 1, -100, 0, -100, 1, -100, 0, 1, -100, 2, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 1, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 1, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 1, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100 ]	[ 0, 5074, 811, 128217, 2097, 3732, 6794, 4544, 183, 146023, 1114, 75579, 59, 104122, 59957, 7343, 183, 155006, 115165, 59, 237252, 59, 23294, 49, 17641, 70905, 37609, 17794, 17471, 440, 4682, 551, 64760, 195799, 695, 29440, 49, 42755, 203406, 103, 6, 5, 5188, 36517, 419, 193182, 44, 97836, 44, 79015, 89, 49, 79171, 20, 120606, 7774, 90798, 34879, 8635, 6, 5, 417, 27135, 105677, 326, 27465, 31084, 1874, 112827, 227, 424, 175857, 6, 4, 161099, 1993, 6, 4, 200216, 89, 35, 195799, 695, 66751, 59, 6, 5, 2718, 440, 30732, 1114, 326, 2354, 62721, 213046, 2792, 8679, 546, 148994, 49, 52429, 135, 47659, 1768, 91791, 114027, 59, 6, 4, 109012, 1551, 99352, 1768, 42420, 60769, 105677, 6, 4, 109012, 1551, 65346, 1082, 29440, 6, 5, 5187, 33907, 6, 4, 49, 2038, 34959, 9571, 2699, 75579, 18449, 87865, 2697, 130993, 419, 114027, 59, 8568, 4387, 183, 146023, 183, 33309, 105855, 155006, 49, 20755, 650, 86665, 68752, 89993, 1739, 215012, 29, 163853, 115165, 59, 6, 5, 589, 37329, 245, 6, 4, 414, 1266, 512, 146023, 119880, 6, 4, 2294, 64393, 7877, 197, 73909, 2549, 129, 15512, 29, 62640, 59, 4187, 118036, 8489, 49, 4060, 6, 5, 1813, 217753, 312, 7774, 90798, 6, 4, 252, 49740, 65346, 4018, 4060, 30296, 172847, 47177, 3732, 6794, 9296, 71302, 50406, 6, 5, 21199, 75579, 104122, 59957, 2697, 183935, 989, 135, 129001, 130, 49, 162496, 312, 15, 42755, 203406, 12635, 1388, 4060, 2042, 96824, 5999, 14722, 6, 5, 901, 440, 30732, 4256, 49, 237252, 175859, 105677, 195799, 695, 29440, 16247, 15919, 88426, 183, 6, 31440, 25898, 6, 4, 41346, 190369, 49, 148586, 105, 6, 4, 414, 58, 2354, 62721, 213046, 6, 4, 59543, 169344, 1719, 57231, 40206, 4256, 18731, 2519, 6, 4, 236189, 11373, 72196, 78903, 61453, 33907, 7886, 44, 6, 5, 901, 85093, 103089, 4281, 9685, 79260, 6, 4, 44, 3732, 18655, 11271, 7812, 10347, 49, 1813, 17794, 18654, 591, 80851, 23299, 47627, 94389, 695, 59543, 172770, 8865, 46414, 8441, 35, 48508, 1082, 184204, 141036, 75819, 12747, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 1, -100, -100, 2, 1, -100, -100, -100, 2, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 1, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100 ]	[ 0, 1039, 67165, 135, 361, 31482, 79574, 228999, 114, 48520, 19701, 44624, 89, 35, 16726, 17355, 44624, 89, 6, 4, 3837, 7638, 148577, 227, 43917, 27731, 13237, 9037, 326, 3699, 82427, 4988, 49, 1214, 1862, 33303, 559, 49, 5892, 2562, 5902, 151589, 10962, 312, 38060, 8809, 34710, 6, 4, 75566, 139070, 197, 16247, 55251, 13418, 49, 165323, 1874, 44392, 6, 5, 672, 415, 957, 336, 11922, 65633, 1874, 31818, 227, 7638, 156954, 227, 326, 83118, 31915, 60303, 130, 50492, 130, 145797, 312, 12747, 20, 93142, 130, 35, 6, 42395, 17575, 206318, 130, 194230, 141558, 6, 5, 5187, 529, 109313, 4684, 193182, 44, 97836, 44, 6, 4, 40326, 49, 68642, 61, 45571, 751, 49, 16726, 17355, 44624, 89, 4987, 187110, 59, 35, 49, 27285, 63689, 29, 34898, 22589, 6, 22653, 6, 5, 901, 66689, 131567, 79171, 20, 56869, 195817, 969, 163308, 59, 63091, 8441, 202253, 64284, 2374, 124476, 59, 10653, 6, 4, 76122, 160181, 6674, 14219, 35, 82871, 91528, 1203, 80721, 129, 225498, 34911, 11125, 652, 49817, 43155, 989, 38850, 6, 5, 167620, 202123, 1009, 3577, 103, 29532, 71302, 129, 20, 6, 147944, 46627, 969, 84, 56695, 2151, 16788, 1551, 160227, 41690, 160181, 99059, 6, 4, 58768, 212, 1323, 69, 1521, 5573, 5902, 63091, 8441, 35, 183, 16909, 559, 154381, 6, 85193, 68483, 6, 5, 829, 223746, 79211, 174412, 1741, 63281, 2297, 77, 54982, 10041, 6, 5, 40965, 3997, 235102, 591, 54662, 59, 13746, 125867, 49, 79919, 2225, 1196, 84, 8875, 121729, 35, 29153, 1214, 3577, 32822, 2697, 6, 4, 3318, 169035, 129, 15016, 19739, 6, 4, 214461, 969, 163308, 124476, 59, 3407, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 1, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 1, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100 ]	[ 0, 193868, 3997, 158303, 183, 139633, 551, 23294, 49, 94447, 1068, 226, 13701, 86162, 44, 1089, 124159, 68520, 2297, 718, 109228, 130, 19251, 6, 4, 35389, 6, 4, 25837, 82131, 2509, 1882, 8441, 9403, 44, 6, 5, 829, 67558, 86162, 591, 67492, 79696, 128811, 226519, 6, 4, 4988, 20, 5684, 6, 4, 11125, 15919, 88426, 305, 6, 5, 233070, 6, 4, 414, 518, 7171, 23059, 1114, 68520, 2297, 11053, 29, 107977, 6429, 42777, 173269, 20, 2668, 6, 5, 9436, 1117, 82848, 44712, 66653, 143318, 7031, 49, 3433, 44680, 1993, 1741, 1068, 1951, 6, 224455, 34597, 128530, 9403, 6, 4, 68487, 2715, 29, 165952, 35, 165323, 2715, 183, 155006, 12703, 13022, 419, 9403, 227258, 2530, 135, 78601, 245, 238453, 227, 6, 5, 69180, 28513, 60303, 130, 6429, 127493, 1993, 20, 3580, 72590, 35, 44, 1509, 76591, 197, 44, 20, 6737, 57150, 106380, 6, 4, 414, 14219, 28513, 27224, 4988, 36129, 68520, 2297, 6, 5, 127532, 9694, 100194, 44, 189604, 2715, 27984, 227, 44, 79015, 59, 6, 4, 414, 27965, 226519, 559, 1725, 47435, 3318, 28513, 27224, 44, 61, 44, 6, 4, 27965, 44, 4988, 44, 6, 5, 829, 7171, 23059, 2715, 36129, 68520, 2297, 23793, 37881, 7031, 207175, 76247, 6929, 5840, 6, 4, 536, 18143, 800, 2233, 226519, 9694, 100194, 6, 4, 35, 33567, 9694, 100194, 44, 66916, 197, 139567, 2715, 44, 6, 5, 21199, 129, 95651, 4256, 172105, 536, 18143, 800, 1857, 33567, 5902, 47435, 56891, 56920, 245, 134937, 328, 10966, 6, 4, 7176, 77, 137418, 139566, 230090, 6, 4, 114333, 591, 67492, 62852, 4768, 1080, 6, 4, 529, 159821, 89, 139566, 152, 829, 20, 30183, 141558, 6, 4, 4988, 20, 10149, 6, 4, 11125, 15919, 88426, 20, 190, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 1, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, 1, -100, 2, -100, -100, 0, 1, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 2842, 158263, 169489, 49, 164755, 8808, 6, 213095, 207273, 18449, 19910, 125970, 407, 25821, 4018, 9553, 42754, 38964, 23052, 6, 5, 5188, 3920, 193182, 44, 97836, 44, 83694, 49, 149314, 155980, 143043, 128379, 50406, 8568, 49, 184862, 312, 1089, 88691, 89, 35, 21076, 134980, 17617, 89, 137527, 10032, 38284, 115686, 6, 5, 6, 122163, 4018, 23052, 4387, 125970, 49, 20960, 135, 75096, 147486, 39242, 175030, 128530, 35, 28253, 419, 132782, 43155, 42157, 43996, 7613, 44, 32275, 44, 23241, 20, 9778, 114618, 21996, 419, 28096, 5004, 55994, 6, 5, 589, 5434, 19679, 87114, 24410, 1874, 197516, 18449, 19910, 97062, 989, 41362, 202875, 827, 6, 5, 19711, 23369, 13953, 1725, 44265, 6, 5, 184668, 53440, 202875, 130, 127582, 5058, 6, 147927, 13475, 88122, 2511, 18449, 28196, 312, 6, 5, 1813, 129, 30271, 1269, 1741, 2687, 1068, 1041, 1739, 129, 163453, 226, 5235, 3150, 3505, 98101, 235091, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 1, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 1, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, -100, -100 ]	[ 0, 7762, 8688, 380, 85096, 312, 68081, 130, 100924, 12635, 75812, 1041, 13658, 16868, 19108, 29058, 3007, 59, 49564, 103, 78474, 5642, 6527, 6, 4, 414, 33711, 1730, 233653, 1047, 94768, 37598, 419, 35, 424, 78548, 9880, 35866, 928, 518, 1200, 68483, 35, 227672, 6, 5, 5188, 3920, 79015, 59, 326, 158263, 183283, 65506, 2233, 195386, 3997, 90559, 106922, 529, 237907, 29, 62415, 6168, 205, 75812, 245, 20, 48693, 9154, 29058, 3007, 59, 49564, 76750, 6, 5, 901, 1739, 66689, 6, 4, 75812, 1041, 58, 3806, 103886, 49, 9880, 35866, 928, 6, 4, 40553, 36560, 197, 13553, 50560, 61431, 14357, 8118, 22474, 53085, 9765, 518, 35797, 695, 116239, 35, 227672, 44, 6, 5, 589, 2102, 551, 19951, 29, 44, 73237, 204110, 63946, 89, 44, 6, 4, 90559, 79015, 59, 6, 4, 414, 14905, 9, 165618, 231045, 32631, 115350, 171567, 6304, 63269, 49, 6, 4256, 1200, 5434, 2699, 6, 4, 779, 2042, 48458, 105, 77, 440, 15512, 35734, 100353, 6, 5, 145263, 1739, 72305, 87528, 380, 105, 116917, 4774, 10041, 35, 9765, 110251, 20854, 1068, 1041, 49, 948, 76348, 122202, 6, 4, 1714, 40994, 652, 23262, 2511, 18901, 26054, 85946, 89, 20312, 1281, 35, 84614, 1768, 3928, 1719, 106720, 6, 5, 12459, 2574, 6, 4, 819, 59667, 1891, 193901, 160538, 35, 440, 191709, 718, 6, 117470, 4256, 6, 4, 72305, 15309, 59, 24339, 23633, 241653, 2454, 6, 5, 901, 82191, 116965, 6, 4, 49, 28804, 48295, 231045, 32631, 43917, 41460, 209626, 4256, 35, 169290, 3699, 591, 35308, 49, 9880, 35866, 1269, 6, 5, 145263, 1266, 195206, 14560, 6, 4, 4851, 146617, 35, 46249, 1739, 25713, 76289, 3315, 695, 6, 5, 12459, 5434, 75812, 1041, 42966, 190207, 49, 9880, 35866, 928, 518, 116239, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, 0, 0, 1, -100, 0, -100, 0, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, -100, 0, 0, 1, 2, 2, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100 ]	[ 0, 417, 1450, 957, 64393, 158263, 49, 953, 171410, 207783, 1993, 6, 4, 49, 2660, 20068, 162597, 103, 6, 4, 8534, 21741, 173314, 66751, 61, 143312, 227, 124697, 12561, 1270, 67260, 111807, 143885, 1281, 44, 11271, 650, 42533, 3795, 44, 77873, 20151, 34800, 59, 135, 200879, 130, 183, 119463, 50406, 6, 73153, 18288, 145598, 59, 109619, 47453, 59, 35, 75586, 45256, 1270, 128530, 6, 5, 44, 447, 1611, 6171, 60536, 19306, 6, 4, 255, 49379, 227, 214209, 8118, 16642, 53173, 6, 4, 35, 2176, 13995, 1739, 16176, 44, 6, 4, 20, 83694, 6, 4, 167727, 245, 143885, 49, 162597, 103, 6, 4, 200093, 5506, 1455, 194249, 2155, 5902, 61708, 207783, 1993, 6, 4, 173732, 66751, 59, 61, 143312, 227, 70249, 303, 65629, 15680, 6, 5, 4531, 182860, 49, 1045, 957, 97272, 76240, 105, 162998, 109619, 47453, 59, 112070, 49, 25510, 219191, 93643, 7330, 1114, 94347, 144854, 57615, 6, 4, 49, 41841, 19812, 167313, 24809, 1114, 203556, 49, 113799, 312, 6, 139986, 743, 8441, 35, 29, 164942, 6, 131415, 7774, 1862, 6, 5, 901, 66689, 5758, 640, 2052, 6, 4, 143885, 89, 35, 89735, 8441, 14219, 184951, 989, 255, 11284, 16266, 6, 4, 11004, 77, 14219, 90194, 227, 3146, 74851, 63922, 152, 183, 84609, 145598, 59, 109619, 47453, 59, 6, 4, 100660, 45256, 1270, 128530, 326, 137986, 135, 84108, 419, 146398, 24809, 419, 44822, 11255, 17999, 1551, 35, 112070, 31497, 1196, 37976, 29412, 25077, 559, 6, 5, 901, 82191, 804, 72359, 20, 36690, 45961, 6, 4, 49, 162597, 103, 49, 117237, 11519, 210551, 89, 9953, 714, 21069, 9561, 6, 4, 49, 97321, 103, 20, 209, 21069, 6, 4, 49, 73951, 25459, 20, 62874, 20, 361, 21069, 6, 4, 49, 188927, 65633, 1196, 200190, 49, 117237, 8854, 244, 152505, 19149, 183, 82805, 18081, 255, 82805, 21069, 78290, 6, 5, 143535, 8534, 21741, 13553, 2233, 37078, 20, 207783, 34358, 56804, 6, 136582, 1114, 15, 589, 78832, 1388, 95416, 59, 70873, 14687, 74081, 20, 11004, 49, 143885, 1214, 77, 148400, 1730, 6, 5, 182740, 589, 78832, 111529, 6, 4, 414, 113360, 61, 2325, 3407, 65796, 29, 105412, 244, 6, 4, 252, 77, 29, 93053, 6, 5, 70873, 736, 698, 17999, 82417, 1730, 61, 112070, 255, 54023, 106784, 25077, 559, 29, 37976, 29412, 40238, 35, 969, 16788, 1551, 44431, 51715, 6, 5, 417, 7904, 6, 4, 2696, 12747, 77, 87351, 32369, 181817, 29, 22498, 14496, 6, 4, 70873, 736, 698, 17999, 77, 13524, 39648, 1730, 440, 6346, 24214, 13617, 1739, 61708, 49, 117237, 8854, 244, 34800, 59, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 1, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]	[ 0, 65346, 4018, 4060, 8568, 183, 139633, 547, 102559, 105, 42420, 24339, 6, 4, 161760, 105, 43155, 183, 1488, 227, 51984, 21059, 59, 44, 1089, 226, 48151, 20, 417, 989, 39749, 44, 6, 5, 804, 10849, 4387, 242484, 134382, 21996, 419, 15983, 358, 2151, 6, 4, 82417, 106688, 819, 5934, 5509, 70048, 6, 5, 15983, 14064, 66287, 53871, 8914, 102559, 105, 6010, 6, 4, 414, 47650, 42056, 24192, 44, 29356, 27710, 3505, 150073, 212, 19724, 33635, 17260, 4703, 61, 5532, 255, 230090, 44, 6, 4, 41346, 49, 124387, 41747, 49, 27135, 76591, 59, 56804, 44, 1089, 226, 48151, 44, 6, 4, 27390, 150073, 380, 953, 49588, 52354, 2699, 6, 4, 77, 18135, 6, 4, 129, 1739, 85093, 6, 4, 44, 188765, 244, 42420, 71141, 5999, 650, 72539, 215945, 827, 44, 6, 5, 15983, 14064, 218219, 6, 4, 414, 6, 34474, 47981, 19011, 6346, 10262, 51984, 44, 1089, 226, 98361, 44, 223746, 23299, 77, 61, 6365, 255, 67492, 68146, 6, 4, 819, 2574, 96987, 8044, 6, 4, 252, 6365, 49, 6365, 6, 4, 414, 49675, 55809, 34496, 109228, 130, 2789, 35, 3912, 37762, 407, 105412, 244, 141558, 198504, 312, 16372, 8635, 6, 5, 208494, 89, 44, 1089, 226, 98361, 44, 6, 4, 129, 66689, 804, 72359, 20, 36690, 45961, 6, 4, 135, 38306, 33846, 7638, 193350, 49, 14879, 3732, 226, 6, 5, 6871, 5482, 15114, 36929, 59, 44, 1089, 226, 98361, 44, 4387, 52061, 152, 44, 1087, 85716, 20803, 221941, 244, 6, 10337, 49, 60041, 8165, 44, 6, 4, 20, 13398, 1266, 6, 5, 804, 6467, 33280, 6, 4, 6365, 230090, 20, 953, 49588, 20, 69695, 518, 1089, 59071, 132139, 132709, 181898, 2699, 135, 19679, 51984, 6, 5, 5187, 140950, 49, 201424, 29440, 6, 4, 67589, 90569, 6, 7246, 8470, 49, 105, 18126, 1200, 197265, 89, 102559, 227, 6, 4, 1266, 3150, 1086, 58490, 27224, 1097, 13299, 49, 209889, 59, 157951, 130, 26318, 49, 122394, 13701, 209, 27091, 6, 5, 14853, 698, 220398, 1041, 42420, 78785, 67196, 59, 44, 1089, 226, 98361, 44, 68582, 312, 1537, 48785, 1711, 59131, 6, 4, 414, 84, 6, 7246, 2351, 3549, 1203, 2868, 29, 89448, 2033, 22959, 6, 5, 4531, 77, 13524, 39648, 1730, 6, 4, 414, 14219, 35, 4768, 178245, 35, 1707, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 1, -100, 2, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 1, -100, 2, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100 ]	[ 0, 901, 529, 123813, 20151, 87337, 21153, 2364, 20, 36690, 45961, 6, 4, 326, 158263, 149497, 169489, 6, 210911, 983, 26796, 1857, 132670, 2192, 4060, 969, 200093, 60058, 4060, 1041, 89, 5892, 22617, 46183, 1006, 4328, 56130, 90798, 183, 139633, 547, 79166, 147251, 59, 232765, 1082, 23600, 89837, 16308, 32155, 245, 407, 83280, 90679, 100113, 695, 35736, 49, 180202, 44, 536, 10059, 12635, 94538, 380, 20638, 2192, 224275, 44, 15, 6, 67630, 2426, 1388, 29, 77398, 4476, 35, 157841, 547, 10172, 407, 1739, 195804, 29933, 6, 5, 417, 62399, 35, 4446, 147251, 232765, 1082, 23600, 16308, 32155, 1041, 225633, 83280, 101593, 100113, 103, 31026, 29, 77398, 4476, 35, 29, 70582, 1117, 49, 32560, 2493, 84, 124458, 53711, 26034, 1521, 245, 5957, 1085, 142269, 6, 5, 21199, 4060, 84, 33002, 72178, 11373, 103917, 187969, 6, 4, 122318, 5509, 49, 32560, 2493, 84, 124458, 53711, 44, 6, 67630, 2426, 44, 672, 89, 31224, 672, 92746, 55994, 135, 109530, 1281, 34945, 6, 5, 804, 2225, 4558, 86079, 227, 1086, 58490, 27224, 69, 60834, 13299, 49, 3499, 650, 58036, 132670, 2172, 4060, 103, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 1, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 1, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 1, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 1, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 1, -100, -100, 2, -100, 0, 1, -100, 0, 1, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, 0, 1, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 1, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 804, 105489, 76425, 93910, 92228, 112675, 64110, 31843, 559, 204350, 5902, 184104, 197, 1794, 5902, 13842, 2739, 117860, 1560, 6, 4, 198497, 64257, 989, 6, 28055, 21406, 11373, 2192, 23054, 49, 138839, 103, 6, 5, 101428, 21903, 150831, 59, 3844, 6, 4, 124476, 2257, 18531, 105, 10327, 8571, 698, 35, 804, 6168, 3281, 130, 12854, 1625, 244, 7638, 135, 44429, 1794, 1006, 129, 440, 30732, 1993, 49, 148586, 35, 3712, 1980, 5902, 240012, 54713, 5004, 6, 5, 15910, 11125, 652, 49817, 6878, 424, 46484, 59, 6, 5, 901, 128603, 21967, 129129, 92228, 55745, 1196, 5785, 28584, 12127, 235001, 559, 6, 4, 78536, 125867, 49, 113799, 130, 148586, 105, 44109, 2132, 11, 6, 5, 417, 42730, 103, 5434, 2699, 35, 105489, 76425, 93910, 226547, 59, 128379, 3280, 2739, 117860, 1560, 49, 54713, 723, 336, 6, 4, 4851, 78573, 81952, 112675, 46212, 175765, 35, 92228, 112675, 423, 9561, 6, 5, 15910, 35, 11043, 201185, 29, 150831, 59, 7836, 20, 172105, 2739, 117860, 1560, 49, 804, 105489, 13701, 6, 5, 9504, 17260, 2739, 117860, 1560, 4387, 75566, 166840, 145583, 130, 804, 105489, 13701, 440, 8808, 121949, 1114, 244, 204350, 8809, 38850, 6, 4, 27135, 2033, 43155, 49, 10757, 15115, 38503, 103, 80532, 6, 5, 50876, 2739, 117860, 1560, 145273, 4354, 49, 227747, 1768, 188448, 15777, 6, 4, 35, 20, 140982, 20, 44, 49, 529, 94316, 148745, 135, 77, 89, 3712, 1980, 142136, 29356, 827, 6, 4, 166840, 6467, 49, 804, 105489, 13701, 44, 6, 5, 901, 73330, 92228, 55745, 2151, 81966, 5719, 55389, 5532, 49, 6, 103348, 1041, 888, 6, 5, 79615, 16357, 103, 31843, 559, 2739, 117860, 1560, 20, 7331, 67186, 44597, 672, 1316, 1323, 2716, 35, 3743, 77243, 14853, 82912, 20, 6, 68668, 138466, 29, 30724, 804, 105489, 13701, 6, 5, 150831, 59, 23300, 6962, 183, 7330, 419, 424, 46484, 59, 62957, 6, 4, 414, 235539, 92228, 59, 6, 5, 4531, 227665, 1097, 193184, 130, 4056, 24214, 59637, 31465, 10788, 35, 138839, 245, 29, 804, 105489, 20151, 6, 5, 44, 79068, 1080, 49, 73931, 50487, 312, 60339, 49, 167357, 130, 71870, 190592, 227, 35, 138839, 245, 47815, 6737, 87387, 160253, 37984, 19776, 14554, 10190, 526, 49, 22692, 70172, 92228, 59, 830, 9, 83694, 150831, 59, 23300, 70856, 108912, 6436, 17629, 83551, 6, 5, 150831, 59, 23300, 3216, 134321, 1707, 105054, 424, 1941, 51533, 142136, 219403, 1281, 3693, 2699, 19306, 6, 4, 779, 20878, 9765, 81250, 197924, 6, 4, 14239, 414, 80349, 8854, 2724, 227, 10849, 1857, 8979, 135, 804, 105489, 358, 2519, 13746, 40403, 551, 55298, 13953, 14357, 695, 6, 5, 6871, 103, 11735, 31843, 559, 2739, 117860, 1560, 28390, 84820, 827, 3738, 2574, 6, 4, 819, 148751, 44967, 183896, 2519, 226232, 22458, 67921, 44462, 209410, 6, 4, 637, 168199, 8809, 57208, 44, 132953, 3280, 44, 6, 4, 6, 232219, 85280, 64237, 1117, 2739, 117860, 1560, 6, 4, 35, 99920, 20, 124698, 804, 105489, 13701, 18531, 119771, 20, 9504, 105, 10655, 9504, 1120, 1447, 1125, 1862, 6, 5, 235202, 89, 6, 4, 95645, 87315, 189861, 179779, 6467, 6, 4, 79015, 89, 6, 4, 414, 49, 101690, 129, 49372, 15115, 3738, 2395, 4684 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100 ]	[ 0, 1039, 67165, 131402, 10088, 42134, 109810, 59, 49, 94447, 2390, 226, 13701, 8044, 44, 5188, 41950, 1993, 38850, 49, 158645, 1993, 3732, 45315, 415, 44, 6, 4, 106064, 193182, 44, 97836, 44, 6, 5, 901, 85093, 82461, 86162, 59, 157592, 105677, 34879, 8635, 129, 8044, 4544, 35, 34911, 79065, 59, 8159, 2052, 24873, 6, 4, 11053, 30561, 58462, 13953, 97216, 718, 225498, 34911, 49, 211629, 6, 5, 2842, 20, 111279, 6, 4, 14239, 6, 4, 414, 16950, 31850, 7031, 20144, 827, 4159, 103342, 183381, 6, 4, 252, 326, 20, 6, 107737, 6, 4, 14239, 6, 4, 414, 84, 241151, 34900, 54039, 77, 140895, 172365, 156801, 35, 109557, 6, 5, 417, 20228, 40238, 6, 4, 84014, 8159, 23033, 559, 6, 4, 212554, 29, 44748, 80046, 22996, 6, 4, 24271, 50121, 16760, 43155, 5999, 28008, 33115, 227, 127435, 126766, 240012, 49, 158645, 1993, 3732, 45315, 415, 6, 4, 23633, 2294, 132139, 53173, 419, 718, 209714, 49, 52429, 22937, 208470, 34911, 6, 5, 98965, 48979, 518, 66917, 165109, 34911, 22776, 103, 9072, 172853, 1400, 50786, 74386, 47435, 129, 96824, 14879, 10094, 35, 68576, 6, 4, 252, 5058, 49, 189549, 49, 144451, 4798, 29744, 24499, 5328, 3795, 114398, 105, 6, 5, 901, 197, 4801, 12780, 4354, 35, 529, 178095, 241151, 52398, 50492, 130, 49, 1725, 6, 241474, 1768, 22156, 135, 3732, 212, 19890, 46946, 16662, 6, 4, 252, 5058, 100660, 228321, 244, 158837, 165108, 143542, 103366, 6, 5, 6, 158009, 1258, 6, 4, 148400, 43705, 49, 158645, 1993, 3732, 45315, 415, 6, 4, 24397, 60407, 37632, 45540, 38266, 6, 5, 41034, 6, 4, 49, 7904, 114191, 312, 77, 73976, 208625, 89, 2431, 223955, 4354, 241408, 49, 107058, 11709, 1270, 61, 78238, 6, 4, 49, 7904, 77427, 4544, 20, 208005, 6, 5, 5074, 129, 197, 4801, 154706, 6, 72522, 58007, 52181, 6, 4, 30561, 148400, 17330, 49, 158645, 1993, 3732, 45315, 415, 6, 4, 3150, 223955, 2454, 18178, 45540, 61070, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 1, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 1, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 1, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 1, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, -100, 1, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0 ]	[ 0, 672, 72886, 6208, 89476, 6, 106261, 10582, 83521, 71592, 25495, 12657, 17377, 20, 205858, 16846, 382, 130041, 559, 129, 19100, 27258, 126138, 6, 8851, 1200, 24130, 244, 25029, 6, 5, 4356, 4135, 8870, 183553, 35253, 18029, 59828, 59719, 6, 5, 901, 82191, 186923, 78785, 44970, 111720, 160181, 10347, 6, 4, 424, 20, 969, 41111, 419, 2697, 240202, 1006, 47841, 3216, 59404, 9561, 6, 4, 5138, 138, 21069, 196831, 227, 6, 5, 189710, 90229, 28535, 35, 232501, 1009, 3318, 77402, 24192, 59278, 82246, 6, 4, 40553, 969, 4968, 7533, 212, 827, 30956, 957, 63671, 55013, 163690, 7025, 6, 4, 129, 39595, 37190, 7246, 94768, 197, 114660, 130, 6, 4, 5138, 116, 21069, 126766, 183553, 6, 5, 672, 72886, 6208, 1080, 79734, 197, 496, 21069, 129, 7878, 9798, 6, 4, 1093, 46950, 8763, 106600, 89, 33751, 6878, 5138, 83108, 38608, 59, 55013, 6, 4, 4851, 146617, 77, 22947, 36329, 4736, 2687, 17425, 183553, 6, 5, 140616, 2233, 128108, 135, 72886, 6208, 130, 109234, 208819, 59, 6, 5, 128051, 29, 2042, 40206, 1874, 212212, 6, 4, 255, 88367, 13418, 255, 128379, 2542, 26062, 650, 2697, 3670, 20, 27890, 1447, 23457, 5902, 105677, 35, 70294, 407, 4060, 1041, 5514, 132661, 167312, 6, 4, 12703, 29, 57444, 103, 146617, 9953, 805, 9561, 6, 4, 11004, 77, 84, 75703, 6, 5, 1089, 2052, 476, 71592, 25495, 12657, 13617, 6, 4, 27390, 89476, 23294, 49, 615, 13330, 779, 1891, 129, 28276, 6194, 13686, 6, 4, 219768, 49, 39777, 80233, 2172, 110642, 49, 84, 33901, 103, 672, 8870, 328, 105, 49, 47964, 193737, 244, 718, 198909, 20, 44664, 105, 512, 71226, 695, 29611, 72886, 9121, 245, 20, 72886, 1447, 8618, 245, 6, 5, 43398, 2042, 36065, 28584, 6341, 219768, 212, 236078, 8118, 193737, 183, 212787, 126330, 6, 4, 414, 35, 23633, 7171, 1891, 1857, 44862, 180443, 244, 1080, 79734, 983, 6, 5, 12459, 71226, 695, 71592, 25495, 12657, 13617, 72886, 9121, 1041, 255, 38306, 79574, 55792, 12780, 2257, 546, 16846, 2101, 211606, 2958, 28584, 97440, 6, 5, 57207, 59, 59119, 424, 5308, 2380, 164507, 255, 6, 151664, 130041, 59, 129, 6, 8851, 1200, 24130, 244, 25029, 6, 5, 1089, 6592, 75703, 6, 4, 414, 6, 8470, 212, 827, 23294, 179473, 49, 164755, 100218, 559, 72886, 9121, 245, 35, 37724, 1993, 6, 4, 35, 61, 2582, 1730, 64843, 9279, 1006, 6, 5, 417, 194299, 16846, 42306, 37037, 1196, 1080, 79734, 983, 127468, 30617, 16229, 672, 8870, 328, 105, 6, 5, 20793, 206136, 227, 30937, 80804, 6, 4, 46997, 6, 4, 30956, 48093, 201, 43848, 59, 6, 4, 49, 27285, 105054, 122560, 20917, 33936, 6, 5, 125230, 77416, 128554, 7171, 10059, 812, 97082, 72886, 1447, 8618, 743, 6, 4, 4851, 6, 4, 49, 71007, 6, 4, 30956, 27856, 29, 35333, 103342, 2042, 221245, 1041, 150344, 19100, 36517, 11153, 2233, 30937, 7405, 6, 5, 901, 82191, 116506, 25455, 6, 4, 18528, 49, 26065, 103, 35253, 18029, 59828, 59719, 424, 20, 61, 204349, 46950, 8763, 106600, 89, 6, 4, 1741, 4482, 3407, 529, 128108, 743, 35, 1080, 79734, 983, 6, 5, 672, 57444, 103, 77317, 38482, 56804, 89196, 559, 129, 95401, 2151, 115094 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, 1, -100, -100, -100, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]	[ 0, 70109, 49, 129, 49727, 13658, 130, 65310, 59, 66203, 15137, 174192, 11848, 4968, 3712, 86795, 72907, 989, 20803, 328, 76209, 85747, 60304, 5013, 2521, 303, 182710, 155237, 18655, 1006, 6, 4, 106064, 153827, 193182, 44, 97836, 44, 6, 5, 164076, 20803, 37148, 28008, 111034, 227, 21322, 4558, 44292, 546, 44, 43801, 14122, 4485, 11231, 37675, 2958, 48833, 559, 44, 6, 5, 58083, 8007, 30681, 8571, 1730, 223578, 59, 22959, 424, 3821, 14171, 6, 174782, 695, 44970, 6, 4, 414, 440, 8635, 415, 1730, 718, 129, 49727, 6, 5, 589, 616, 31482, 129, 28511, 6194, 13686, 12826, 6, 48531, 2697, 21069, 6826, 13995, 43917, 27731, 66176, 89, 135712, 35, 62422, 227, 6, 5, 1382, 543, 97271, 102372, 63892, 3433, 132833, 4684, 7171, 130288, 718, 70576, 44169, 40273, 20151, 134669, 312, 29, 4947, 751, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 1, 0, -100, 0, -100, -100, 0, -100, 0, -100, 1, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 952, 67165, 89587, 312, 12635, 8544, 591, 15512, 135, 151075, 59, 714, 83141, 6, 131996, 205, 424, 6, 83389, 54883, 59, 231547, 6, 5, 20853, 90246, 59, 162991, 695, 54883, 59, 231547, 108718, 29, 42803, 19816, 37841, 15052, 212, 230241, 29, 11373, 92692, 68096, 255, 35185, 200921, 2699, 201, 1837, 83141, 6, 131996, 205, 6, 4, 637, 9953, 1496, 1745, 108629, 52766, 695, 162991, 695, 27833, 59, 30296, 6, 5, 64872, 151075, 25254, 166172, 64107, 695, 106525, 28727, 29, 162991, 29, 11373, 92692, 68096, 6, 5, 672, 141140, 6365, 21013, 61, 21607, 312, 24499, 73905, 22959, 60229, 49, 39466, 103, 50181, 84926, 6, 4, 414, 29, 190, 84926, 30984, 6, 4, 238023, 29, 415, 957, 336, 151075, 59, 6, 5, 89587, 312, 12635, 8544, 72472, 49, 41841, 33175, 89, 714, 83141, 6, 131996, 205, 101912, 119882, 84926, 6, 4, 3837, 14219, 136383, 227, 29, 212406, 55134, 1857, 36753, 227, 35, 96515, 28727, 1196, 76266, 235899, 6, 159375, 29209, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 1, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100 ]	[ 0, 536, 2827, 59, 106828, 245, 44, 536, 11185, 37134, 547, 512, 20, 189604, 2715, 5842, 50917, 1874, 85747, 546, 13701, 44, 35, 100967, 44, 6, 66070, 213866, 5089, 44, 228226, 89, 23294, 23241, 120181, 187969, 6, 100753, 94316, 148745, 6, 4, 79015, 197, 153827, 804, 72359, 20, 36690, 45961, 6, 5, 13203, 11409, 10235, 800, 88897, 6, 4, 414, 130739, 215732, 154986, 559, 6, 4, 126243, 44712, 44, 536, 11185, 37134, 38962, 130, 44, 84, 44, 6, 66070, 213866, 86671, 44, 6, 4, 3318, 83828, 1117, 135, 2687, 11485, 1951, 736, 1315, 836, 97513, 255, 44, 23334, 73647, 34900, 55664, 559, 44, 6, 5, 5188, 103, 106828, 89, 14219, 187113, 49, 185511, 105897, 26958, 20, 169993, 31148, 241835, 559, 49, 41796, 244, 8568, 35, 61, 10633, 35458, 419, 6, 5, 36933, 2574, 6, 4, 62739, 197, 6, 4, 414, 175533, 44, 6, 66070, 213866, 20985, 44, 440, 1741, 7330, 1214, 14219, 40924, 24896, 2454, 62705, 1281, 44, 536, 11185, 37134, 1219, 205, 44, 6, 5, 5187, 83694, 23241, 19776, 12016, 44, 536, 11185, 37134, 1219, 205, 44, 185248, 312, 1089, 137615, 4, 58, 38920, 28511, 5509, 93502, 89037, 41557, 43346, 3907, 46414, 10582, 28535, 132661, 67823, 6, 4, 1725, 54176, 2958, 35, 142068, 135502, 559, 3318, 15319, 85896, 5138, 201615, 1719, 74881, 115987, 105, 214238, 743, 85747, 106828, 89, 44, 6, 5, 901, 1739, 66689, 6, 4, 187969, 119638, 58, 1709, 11185, 37134, 1219, 1882, 44, 44, 199541, 183, 64107, 695, 63103, 200218, 559, 44, 6, 5, 4056, 14879, 22239, 6, 4, 41976, 44, 6, 66070, 213866, 20985, 44, 6061, 698, 9945, 559, 88650, 3873, 42554, 20765, 2395, 29, 22470, 103737, 103, 35, 21757, 26958, 103, 227495, 20803, 106828, 312, 6, 5, 44, 56335, 50570, 1730, 6, 4, 414, 201727, 312, 205080, 6, 82626, 241524, 33070, 16760, 49, 8568, 164888, 44, 6, 66070, 213866, 5089, 44, 30963, 424, 6674, 17524, 24605, 559, 44, 6, 4, 20, 22474, 25734, 141941, 1266, 6, 5, 83559, 21313, 3318, 61, 6417, 39049, 62705, 227, 58, 1709, 11185, 37134, 1219, 205, 44, 77, 2530, 49, 8568, 6, 4, 779, 35, 61, 4641, 55664, 1281, 6, 5, 229639, 4354, 5058, 6, 4, 414, 227495, 135, 44, 536, 11185, 37134, 38962, 130, 44, 3318, 61609, 85896, 223209, 89, 54227, 44, 6, 66070, 213866, 20985, 44, 35, 119638, 336, 43927, 245, 1857, 13117, 44, 84, 67460, 17260, 39218, 29, 11373, 17524, 56139, 244, 6, 5, 44, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 1, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 1, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 1, 0, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 1, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 1, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 1, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0 ]	[ 0, 14560, 67647, 227, 49, 229015, 1993, 101727, 512, 88052, 41690, 135, 218772, 35, 97062, 127172, 130, 163832, 227495, 5842, 218772, 35, 210983, 6, 4, 83694, 40010, 66699, 14560, 29134, 14394, 115533, 27596, 6794, 650, 6, 5, 96070, 214461, 6, 4, 414, 30963, 424, 62862, 21324, 180505, 9395, 73472, 75854, 1196, 24397, 983, 54592, 18102, 76880, 129, 68487, 4256, 6, 5, 2842, 158263, 27596, 6794, 650, 237748, 29, 28203, 2097, 244, 129, 17994, 130, 8865, 46414, 8441, 35, 44, 183, 8635, 26464, 50203, 44, 6, 4, 49, 2660, 20068, 424, 8568, 6, 4, 3837, 123339, 4401, 49, 36954, 103, 129, 58907, 5902, 35, 179441, 15777, 84723, 227, 132943, 114516, 2257, 14560, 6, 5, 96070, 83694, 6, 4, 414, 44, 39749, 84, 212, 13390, 112675, 8865, 46414, 22959, 84, 16117, 5902, 60637, 197, 7196, 44, 6, 5, 87866, 312, 77, 22947, 15981, 312, 8095, 1768, 8568, 1266, 159315, 44, 6, 39614, 3280, 28059, 559, 44, 6, 5, 96070, 77, 13524, 13713, 3873, 6, 4, 414, 49, 45256, 2192, 132281, 312, 9687, 44, 84, 226, 6341, 28059, 559, 6, 4, 39072, 44, 23793, 12068, 45781, 44, 424, 81491, 8568, 255, 423, 97986, 59, 84926, 49, 5532, 44, 6, 5, 44, 15983, 1068, 35789, 114408, 197260, 6, 39614, 3280, 117043, 35, 440, 137753, 19306, 23192, 44, 27596, 6794, 650, 159315, 44, 100660, 14217, 1082, 6674, 13682, 61431, 59, 44, 6, 5, 27596, 6794, 650, 5058, 83694, 6, 4, 414, 44, 49, 51752, 44, 1537, 8763, 698, 6, 37134, 63326, 20, 6, 71244, 44, 29, 67558, 8270, 6171, 94490, 2574, 6, 4, 414, 27634, 20, 27035, 23192, 210983, 7638, 136383, 227, 77, 129, 68487, 4256, 44, 6, 5, 901, 66689, 124698, 6, 4, 93142, 14560, 86079, 59, 49, 152280, 103, 3699, 407, 69591, 163041, 1117, 54939, 407, 186397, 140500, 129, 186274, 135, 183, 8635, 96126, 130, 50203, 6, 5, 4946, 1082, 65411, 13053, 207926, 115350, 6, 5, 417, 21322, 14219, 69, 1006, 12826, 6, 48531, 2697, 147287, 1488, 677, 37083, 76097, 2542, 66699, 35, 6, 743, 2509, 8441, 14560, 6, 5, 3580, 227, 32560, 6103, 28203, 2097, 49, 36954, 103, 129, 27617, 130, 35, 6, 81660, 1258, 84723, 227, 132943, 45697, 8809, 114516, 2687, 43903, 32369, 129, 94687, 103, 157592, 5434, 147459, 6, 4, 114516, 48465, 212, 20, 77792, 40519, 217159, 59, 9762, 2052, 6, 5, 417, 62399, 811, 232207, 29, 98101, 1993, 28203, 1394, 9762, 2052, 79015, 407, 811, 141642, 1993, 2431, 33372, 86162, 59, 6, 4, 7176, 1086, 7736, 57980, 82243, 14560, 3216, 7572, 52850, 36788, 61, 70422, 61439, 827, 135, 46446, 1281, 35, 68902, 1281, 424, 6, 37134, 736, 3712, 1196, 142068, 6, 34887, 6, 5, 36933, 2574, 6, 4, 217159, 9762, 1068, 113932, 591, 4401, 5013, 49, 36788, 3795, 90466, 114516, 2257, 407, 131658, 63893, 121590, 39084, 45697, 5902, 149178, 40687, 8568, 35, 69765, 49, 147282, 66699, 14560, 407, 131658, 86168, 35, 94221, 59, 101727, 512, 88052, 41690, 5842, 99352, 3455, 8544, 419, 8568, 35, 210983, 6, 5, 21199, 1725, 60483, 17425, 7638, 66203, 6878, 77, 29, 213184, 12206, 1214, 637, 154606, 105190, 1214, 6, 4, 252, 29, 207608, 98276, 244, 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 ]
[ -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100 ]	[ 0, 7720, 18954, 30577, 75566, 695, 86798, 59, 56110, 1114, 15983, 861, 7343, 21313, 44, 138116, 13170, 245, 44, 35, 98788, 12860, 5188, 8875, 130045, 312, 188448, 208470, 13842, 44, 1089, 226, 48151, 44, 75566, 206096, 89, 407, 2660, 6, 4, 414, 77, 45723, 122086, 27546, 718, 23798, 42269, 197, 54671, 131213, 105, 44271, 15983, 861, 7343, 1426, 5, 822, 170, 2810, 5, 882, 6, 5, 208494, 1041, 13117, 44, 138116, 13170, 245, 44, 206096, 183, 155329, 33762, 54671, 34664, 12860, 130833, 3455, 81985, 130, 133346, 244, 5999, 6, 5, 417, 22326, 99142, 695, 66287, 59, 6, 4, 150763, 73747, 6, 4, 414, 3480, 170, 2810, 5, 882, 150073, 303, 99434, 116586, 64257, 188448, 218482, 6, 4, 98788, 12860, 44, 1089, 226, 98361, 44, 106064, 152, 44, 55664, 53440, 32842, 6, 4, 414, 183, 155329, 6, 9753, 1270, 12860, 6, 4, 16846, 15229, 235552, 33458, 65919, 59, 6, 4, 49, 152780, 130, 47524, 53625, 518, 5934, 1270, 8775, 44, 6, 5, 2718, 1488, 3480, 170, 2810, 5, 882, 7329, 77, 57707, 6, 4, 779, 49, 152280, 103, 3699, 3318, 15126, 476, 28832, 102074, 2192, 255, 1488, 3480, 170, 2810, 5, 539, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, 1, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 1, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 1, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 1, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100 ]	[ 0, 44, 2443, 58079, 186892, 58, 5295, 547, 6898, 29, 198909, 20, 6, 213046, 103, 64843, 54925, 30250, 476, 23294, 49, 753, 60807, 126766, 67418, 42953, 36689, 29732, 10573, 6, 4, 9953, 20803, 21069, 9561, 7638, 31573, 59, 928, 170404, 6, 5, 417, 9080, 6898, 1435, 23457, 4469, 49, 120606, 80270, 546, 54925, 6, 4, 43993, 8604, 2192, 29, 110357, 160481, 1521, 6, 4, 12105, 36175, 13624, 227, 25057, 723, 49, 23434, 888, 46009, 135, 8898, 59547, 130, 35, 3433, 415, 5969, 6467, 15412, 103099, 29, 5347, 55792, 105, 255, 305, 184516, 559, 6, 5, 1089, 41942, 59, 19951, 424, 3806, 30953, 6, 4, 9542, 811, 2102, 44106, 29, 222351, 6, 4, 779, 93661, 1281, 380, 11589, 35, 39689, 77, 239525, 6, 5, 185020, 135, 6010, 6, 4, 44, 57307, 32083, 44821, 44, 2120, 2743, 4401, 723, 47291, 2151, 6, 5, 77002, 424, 116506, 25455, 6, 4, 819, 1266, 3151, 9159, 6527, 49, 172859, 652, 18372, 106486, 2716, 108912, 21220, 6, 4, 70222, 6, 4, 414, 7193, 20, 690, 49, 27285, 7846, 10951, 71428, 2192, 19724, 158957, 183, 1739, 9037, 183014, 312, 179022, 6, 5, 3499, 119520, 1085, 723, 35, 8898, 23158, 144151, 989, 77, 5138, 181515, 23255, 6, 4, 3738, 21307, 184002, 13475, 44051, 13475, 129963, 3734, 21218, 103, 41111, 50504, 29, 27042, 1219, 29732, 7324, 29, 149551, 130, 68439, 103, 13901, 227, 6, 4, 23793, 44491, 19812, 16846, 16290, 155333, 138199, 6, 5, 12459, 28651, 103, 424, 3806, 59650, 1435, 23457, 15863, 89476, 1039, 86005, 13867, 2699, 6, 4, 84, 336, 989, 10094, 2358, 9561, 6, 5, 27596, 3455, 227782, 130, 518, 169521, 36689, 108622, 2687, 526, 11312, 135, 158834, 419, 44363, 14679, 54925, 25455, 4387, 6, 105362, 1041, 543, 2592, 6, 4, 20878, 1435, 23457, 4469, 2042, 244, 48874, 3873, 174723, 29744, 6, 4, 5138, 28797, 9561, 90229, 546, 6, 5, 191273, 61, 72337, 4082, 4476, 424, 3806, 109375, 1435, 23457, 15863, 2120, 2678, 6, 5, 13203, 17944, 20719, 44821, 407, 23334, 130, 424, 3806, 61405, 89, 152441, 135, 1039, 63960, 8272, 2699, 6, 4, 4222, 166476, 121338, 9159, 751, 44, 57307, 32083, 38847, 44, 6, 5, 185020, 135, 6010, 106486, 2716, 21967, 158834, 80605, 440, 66176, 3107, 128430, 18315, 44, 3693, 44, 6, 4, 529, 124402, 652, 51836, 11312, 41325, 6, 4, 414, 76751, 227, 6171, 6, 5, 49429, 6, 36968, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100 ]	[ 0, 417, 149314, 135, 79574, 41736, 3735, 44653, 96515, 136713, 240012, 19701, 2052, 47030, 20, 72904, 1269, 79260, 20, 3910, 42269, 1006, 35, 28464, 1269, 2102, 6, 4, 45086, 14159, 591, 27824, 90569, 25077, 227, 29, 16122, 151263, 141272, 89, 228369, 59, 5506, 142269, 20, 187572, 89, 29, 61858, 1768, 166658, 72904, 1269, 650, 1711, 194539, 143885, 34800, 59, 6, 5, 124764, 60303, 143885, 2946, 63671, 152974, 1714, 861, 2493, 20, 183, 1488, 3410, 90773, 25077, 559, 611, 25562, 35, 77, 255, 106676, 34457, 90569, 29, 105412, 244, 21996, 59, 193301, 2946, 718, 164411, 4256, 183371, 6, 5, 5187, 79015, 197, 193182, 44, 97836, 44, 529, 237907, 29, 6, 208150, 245, 124698, 160181, 6674, 141272, 89, 62640, 59, 27576, 1269, 10966, 6, 4, 21069, 2233, 28584, 2374, 591, 800, 11589, 1450, 128603, 34358, 407, 38690, 27183, 166658, 35, 90646, 6880, 6, 120043, 128530, 6, 5, 589, 178408, 81250, 145871, 1117, 90402, 49, 6, 120043, 6, 5, 5188, 12758, 415, 49, 211629, 141272, 89, 134222, 16950, 31850, 7031, 6, 4, 241151, 29306, 66855, 101688, 227, 49, 149001, 1041, 18315, 5641, 6, 4, 20, 79015, 217163, 124698, 160181, 6674, 6, 5, 62640, 27576, 14564, 559, 228582, 12206, 129, 928, 79913, 40326, 149497, 169489, 29, 184871, 59, 21996, 59, 193301, 2946, 56110, 1114, 41867, 2946, 11125, 1200, 1739, 9037, 6, 5, 1382, 221381, 6, 4, 58191, 245, 87315, 77, 29, 146568, 9765, 140125, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, 0, -100, -100, 0, -100, 0, 1, 0, 1, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 1, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 1, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, -100, -100, -100, -100, 2, -100, -100, 0, 0, -100, 0, 1, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 1, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 1, 0, -100, 0, -100, 0, -100, 0, 1, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]	[ 0, 417, 52429, 6, 4, 49, 34992, 13701, 189604, 1082, 76880, 25896, 135, 534, 31482, 79574, 155641, 59, 140335, 245, 591, 4653, 2097, 135, 9504, 9685, 1768, 23568, 48970, 90798, 6, 4, 14925, 4987, 30963, 424, 19580, 29751, 31303, 59, 6, 5, 141884, 743, 145797, 312, 753, 1315, 89, 1085, 87830, 197, 29, 6304, 31026, 10347, 1281, 50406, 8568, 6, 5, 2842, 158263, 60828, 135, 41620, 130, 90953, 89, 4682, 90569, 50406, 31479, 4387, 29, 58768, 119151, 67409, 255, 71066, 49, 165319, 424, 131656, 6, 4, 4851, 9504, 31061, 23568, 1996, 72736, 6, 3670, 58883, 7031, 49, 104420, 30943, 1200, 29611, 1435, 58231, 12544, 185183, 387, 67165, 6, 5, 215250, 6365, 84, 60828, 59, 129, 7613, 1857, 206655, 3107, 141442, 89, 6, 4, 529, 11403, 14159, 35, 66557, 103, 139135, 975, 1584, 23568, 1996, 1794, 29532, 6, 5, 417, 1725, 20068, 20, 1709, 10907, 198447, 4910, 559, 52400, 35, 220245, 189322, 6, 4, 68582, 312, 179590, 212, 28536, 559, 6, 4, 169933, 205, 5209, 79311, 2697, 35, 22238, 6, 5, 27596, 65960, 23568, 1996, 26401, 161029, 84, 424, 66814, 17471, 60828, 59, 6, 4, 55169, 6, 68160, 98563, 6878, 199141, 804, 49326, 35, 6429, 49, 957, 8533, 6, 5, 4531, 22470, 100608, 79696, 135, 65960, 419, 23568, 1996, 26401, 3455, 6, 5, 80773, 1355, 129308, 12777, 21665, 183, 50406, 35, 128530, 30296, 6, 5, 188719, 54441, 163866, 89, 23255, 591, 49266, 49, 34992, 13701, 189604, 1082, 32533, 677, 25896, 672, 8489, 2578, 118036, 8489, 6, 5, 672, 8489, 804, 9107, 34423, 72491, 88650, 6880, 65960, 105, 23568, 1996, 26401, 105, 35, 1739, 13628, 2151, 529, 117137, 128407, 26464, 183, 75674, 49372, 71199, 2578, 2716, 1835, 1196, 6, 5, 145263, 6, 4, 819, 106064, 8865, 23581, 27673, 129486, 193182, 44, 97836, 44, 6, 4, 90953, 59, 114027, 59, 8568, 6, 4, 96244, 103, 137282, 4296, 8534, 103, 55165, 105015, 6, 4, 43917, 27856, 120043, 189604, 1082, 76880, 25896, 6, 4, 77, 51705, 245, 84820, 130, 6, 154017, 135, 79171, 1768, 6, 5, 85384, 650, 20, 34078, 1041, 50406, 8568, 154888, 4910, 136458, 303, 79015, 27847, 1258, 6, 4, 414, 3151, 62640, 2578, 2716, 52442, 46249, 2687, 11485, 1951, 49, 6, 150652, 2582, 8441, 23568, 751, 15205, 6, 5, 1721, 8870, 125308, 129, 7613, 1857, 183, 39730, 27136, 20, 99920, 8568, 4187, 652, 1521, 1394, 1813, 723, 2697, 35, 2294, 64393, 115165, 589, 5, 9, 51896, 59, 157380, 983, 589, 6737, 33888, 6, 5, 672, 235413, 227, 235539, 989, 440, 30732, 2715, 10327, 680, 22697, 64491, 222, 25734, 35, 2693, 19108, 1719, 205, 130155, 245, 6, 5, 901, 191709, 529, 117137, 128407, 26464, 183, 122890, 4019, 59, 4560, 62156, 41287, 151668, 59, 3681, 11446, 12276, 6, 4, 50406, 175857, 96724, 59, 39663, 94804, 6, 4, 50406, 14560, 42669, 551, 220936, 59, 6, 4, 9977, 96515, 35, 158837, 6, 50786, 29751, 6, 5, 121677, 43970, 12635, 4318, 197, 2155, 303, 93362, 1995, 20449, 21452, 61, 123806, 7613, 38536, 9504, 89, 2102, 23568, 48970, 90798, 35, 212, 163677, 1656, 69144, 18293, 50606, 1719, 529, 117137, 128407, 26464, 49, 20755, 135, 4641, 4406, 1891, 1857, 30865, 1862 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, -100, -100, -100, 2, 2, 2, 2, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 1, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, 1, -100, -100, -100, -100, 2, 2, 2, 2, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, -100, 2, 2, 2, 2, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 1, 2, 2, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 53848, 312, 9694, 57414, 861, 2233, 181228, 17176, 237702, 59, 71704, 2192, 54662, 2297, 49, 56643, 29, 36753, 1857, 136581, 103, 326, 6, 176744, 30085, 800, 226, 20, 29, 20, 24186, 336, 6, 4, 71045, 75874, 124255, 7588, 928, 49, 106, 4, 8194, 37654, 59, 6, 4, 106064, 153827, 804, 72359, 20, 36690, 45961, 6, 5, 4805, 29, 415, 957, 336, 241986, 2192, 13428, 132272, 2519, 8809, 61858, 1082, 27617, 15, 6, 106148, 2632, 1388, 116077, 81830, 122545, 37654, 59, 61, 147840, 6, 4, 690, 23294, 136156, 135, 17176, 529, 48981, 72942, 440, 115257, 106, 4, 8194, 963, 9, 81830, 143886, 37654, 59, 6, 5, 53448, 3795, 28037, 105, 99502, 17425, 170068, 312, 36753, 227, 183547, 145404, 652, 70428, 2172, 36098, 419, 151089, 103, 14560, 49, 6, 4256, 1200, 6, 4, 12185, 407, 33763, 7171, 49266, 718, 120006, 1719, 407, 45846, 1200, 20151, 37654, 59, 6, 5, 417, 10757, 20755, 29229, 1835, 7310, 11735, 225583, 222, 16206, 29, 41155, 36098, 29, 69, 43089, 188685, 2958, 38236, 3735, 244, 6, 4, 4851, 181866, 989, 127864, 103, 216127, 2715, 89248, 37654, 59, 6, 5, 672, 1316, 99582, 13428, 17176, 29, 44748, 106, 4, 8194, 20, 106, 4, 9016, 37654, 59, 58, 650, 138113, 28832, 2151, 44, 6, 4, 326, 6, 176744, 30085, 800, 226, 20, 29, 20, 24186, 336, 97062, 6, 4, 414, 49, 36129, 105, 182162, 12318, 1739, 22470, 103737, 103, 216127, 2715, 57750, 183, 205158, 106, 4, 8194, 37654, 59, 58, 138669, 166622, 44, 6, 5, 417, 25510, 23294, 52766, 695, 10262, 45404, 60407, 1739, 27383, 227, 72192, 129, 233233, 180600, 130, 255, 81830, 90393, 37654, 59, 6, 5, 6, 72837, 59957, 27183, 17176, 29, 136581, 103, 326, 6, 176744, 30085, 800, 226, 20, 29, 20, 24186, 336, 6346, 134590, 26161, 75703, 123580, 21903, 2151, 4251, 91188, 529, 2325, 11355, 1270, 76404, 59, 201727, 244, 8427, 5004, 7765, 82668, 25798, 49208, 6, 4, 7176, 238791, 989, 23294, 20934, 13510, 336, 20151, 529, 40326, 736, 2493, 132709, 29, 2678, 165108, 255, 183, 205158, 97608, 10945, 129786, 559, 6, 5, 1813, 112235, 5434, 183547, 145404, 49, 116687, 130, 168237, 6346, 30732, 983, 29, 109705, 2958, 136581, 1214, 49, 63326, 20, 6, 71244, 103, 35, 217601, 6, 4, 4851, 40326, 13524, 57803, 70746, 61, 33067, 111380, 42710, 127864, 103, 753, 44821, 76404, 559, 44, 2718, 105, 20, 85524, 650, 58, 89, 44, 122590, 77998, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 61729, 6, 4, 129, 1739, 66689, 6, 4, 54982, 4354, 6, 101191, 2233, 4406, 9430, 58231, 139579, 59, 29, 11373, 17524, 56139, 244, 195215, 35, 215732, 154986, 559, 6, 4, 414, 50827, 10416, 91917, 105, 225857, 29, 52667, 40342, 229674, 183, 64456, 59, 6, 5, 5187, 106064, 153827, 44, 8498, 312, 130, 20, 36690, 45961, 44, 6, 4, 417, 5, 3888, 22509, 222, 21990, 38854, 6, 4, 414, 225775, 11373, 28008, 79225, 29, 6, 175154, 82363, 222, 238359, 3455, 21313, 130, 158369, 15526, 74386, 93262, 49, 34909, 35, 23808, 6, 5, 3499, 77343, 2715, 64456, 1874, 135557, 1006, 201499, 8118, 209, 1745, 183, 163786, 7171, 4682, 10998, 238359, 92261, 6, 5, 804, 2696, 49, 6, 105362, 103, 21013, 29, 6, 107098, 983, 24499, 6, 175154, 6, 13510, 1951, 7031, 483, 37654, 1258, 61, 2406, 3429, 2716, 6, 4, 690, 12504, 44, 2732, 201615, 225207, 989, 30984, 387, 84926, 44, 6, 5, 180497, 107043, 20, 99920, 111529, 6, 4, 414, 44, 11922, 135557, 1006, 180268, 40064, 93532, 419, 165710, 56291, 811, 16247, 105, 152738, 14171, 195215, 35, 215732, 154986, 559, 61, 10633, 35458, 6, 4, 35, 31459, 29776, 22238, 123954, 6, 4, 54344, 144554, 20, 31915, 1196, 6, 4, 518, 72070, 36406, 33111, 29, 6, 121326, 14809, 68096, 215732, 154986, 559, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 1, -100, 2, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 1, -100, 2, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100 ]	[ 0, 901, 529, 123813, 20151, 79171, 20, 56869, 447, 120617, 44230, 5902, 8148, 6, 4, 4669, 9, 7330, 47316, 9363, 38006, 33584, 11514, 142269, 6, 4, 185537, 26169, 1270, 174542, 141647, 312, 21220, 5573, 8441, 44, 156371, 72162, 2225, 20, 21855, 44, 6, 4, 6, 3670, 58883, 7031, 183, 70138, 6, 4, 47554, 1196, 49, 41841, 59063, 1993, 6, 147927, 1082, 79285, 6, 4, 84, 2374, 90569, 29, 44230, 24499, 6, 109960, 72965, 5428, 49, 1450, 49361, 72907, 54441, 40748, 6, 5, 4356, 4135, 8870, 4768, 53094, 2958, 5235, 9122, 20, 20803, 103089, 242104, 59, 35, 4768, 23506, 529, 94316, 4558, 58, 19877, 312, 72162, 2225, 20, 21855, 44, 6, 4, 46627, 49, 128430, 152, 1203, 2792, 1741, 23984, 1006, 6, 44169, 59, 14276, 157951, 103, 182046, 6, 5, 216002, 227, 177462, 18293, 9, 35, 33611, 197, 106828, 312, 6, 4, 129, 13385, 102445, 2660, 8809, 44, 3858, 27042, 87462, 75951, 90531, 1114, 44, 6, 4, 135, 39730, 84486, 1041, 6, 4, 49, 19812, 12504, 35240, 8941, 232501, 2715, 6, 5, 137527, 2443, 21665, 303, 6, 4, 45096, 44683, 8809, 34710, 29611, 44230, 1711, 132, 1882, 677, 7638, 156954, 227, 76033, 197217, 695, 3433, 13390, 68146, 7044, 9685, 1625, 57878, 1388, 6, 4, 77, 407, 7044, 3806, 476, 35, 77, 228582, 103353, 89, 6, 4, 414, 29, 18999, 1882, 53048, 59, 98563, 6878, 235001, 227, 1089, 55907, 6, 5, 44, 91619, 65567, 30502, 407, 4703, 20, 27035, 830, 9, 13398, 2443, 21665, 303, 6, 5, 21199, 1266, 159315, 12826, 24744, 7179, 139425, 6, 63494, 983, 6, 4, 24651, 154941, 415, 29, 28435, 103, 8679, 551, 109665, 6574, 476, 49517, 76784, 152, 18178, 6, 4, 424, 29725, 4387, 153949, 28435, 6, 4, 15856, 4387, 3505, 135, 52189, 4768, 2699, 3693, 19306, 2819, 55732, 20803, 41942, 100114, 43996, 29, 28435, 103, 7638, 969, 131166, 21607, 103, 15, 32529, 135, 191589, 242104, 6207, 64716, 135990, 44967, 75541, 9561, 1388, 2819, 21313, 6, 4, 529, 48981, 59, 137282, 7044, 93163, 928, 29, 28435, 103, 6, 4, 4987, 3707, 17471, 212, 6, 5, 3858, 2743, 62561, 61, 1670, 56300, 6826, 6, 4, 129, 49372, 197264, 89, 6, 4, 70292, 28243, 118036, 105, 60389, 78785, 49813, 59, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 1, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 2, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 9504, 17260, 49, 417, 43223, 15459, 10849, 7638, 33520, 227, 16290, 83141, 227, 216053, 6, 5, 86625, 415, 1488, 1584, 66445, 1343, 49, 75096, 147486, 2715, 417, 43223, 15459, 8809, 143239, 147459, 178537, 6, 4, 79015, 193182, 44, 97836, 44, 184871, 124698, 178537, 40331, 51633, 559, 6, 5, 21199, 203120, 103, 6, 138457, 59650, 173385, 1281, 20, 77, 218, 1752, 25337, 2192, 10797, 40687, 6, 4, 11053, 312, 138964, 677, 106688, 183, 223829, 559, 57709, 6, 5, 101408, 424, 5308, 53737, 35669, 136985, 35, 8118, 73955, 6, 5, 193868, 3997, 158303, 86079, 59, 49, 6, 103737, 130, 26318, 232833, 8044, 407, 224009, 208167, 6, 4, 104245, 106688, 202295, 49, 41841, 184104, 29412, 68604, 6, 5, 5188, 3920, 201424, 79449, 84723, 227, 193182, 44, 97836, 44, 79015, 200093, 238453, 227, 48122, 212, 81062, 6891, 27288, 47660, 6, 5, 901, 1739, 66689, 6, 4, 44, 166476, 150849, 33689, 6, 4, 31131, 49, 148484, 5902, 8148, 152, 9542, 192397, 1093, 136985, 6, 4, 39689, 204489, 77, 3150, 2431, 81871, 6, 4, 22978, 91808, 1203, 154327, 53440, 183, 31397, 16833, 44, 6, 5, 901, 85093, 157592, 238453, 227, 6, 4, 44, 489, 61070, 6, 4, 40473, 26196, 407, 68020, 49, 417, 43223, 15459, 4446, 228999, 6, 4, 232501, 1595, 183, 184104, 39255, 86672, 20, 49, 107058, 34042, 28403, 20, 42469, 21541, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 1, 0, -100, -100, -100, 0, 0, -100, -100, 1, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 1, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 417, 229110, 169489, 150174, 80046, 70576, 652, 45939, 551, 49, 38203, 168731, 103, 138718, 3281, 380, 173067, 5509, 83835, 6, 4, 11968, 58007, 7846, 17134, 5509, 165769, 24192, 6331, 9, 130, 6, 156605, 130, 21607, 640, 551, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 79171, 20, 14909, 6, 47871, 120617, 80046, 6, 4, 173067, 5509, 83835, 2120, 187110, 197, 29, 66203, 60769, 75398, 1269, 29, 93053, 20793, 59, 76425, 6, 4, 116, 6, 5, 901, 82191, 53448, 1270, 35736, 6, 83228, 159576, 2630, 195817, 8568, 6, 4, 49, 23085, 82427, 44, 417, 1009, 25805, 20, 73098, 2757, 800, 3712, 44, 61, 9687, 135, 423, 129, 953, 67165, 234290, 2699, 176807, 827, 6, 83228, 159576, 2630, 195817, 9403, 440, 4737, 117243, 103, 106, 100928, 6, 159353, 187706, 18102, 2120, 424, 57150, 328, 66566, 119798, 723, 173067, 17414, 2958, 113115, 35, 1105, 173067, 1196, 76126, 6, 4, 20, 79015, 89, 49, 53448, 2172, 242711, 6, 83228, 159576, 2630, 195817, 8568, 6, 5, 36933, 2574, 6, 4, 2120, 219533, 197, 116, 6, 128877, 142598, 6, 4, 424, 57150, 328, 305, 2357, 114200, 227, 150927, 37325, 64403, 175765, 6, 5, 1813, 4737, 117243, 103, 187706, 18102, 176807, 827, 6, 83228, 159576, 2630, 187110, 197, 138, 11937, 304, 114200, 227, 3577, 103, 7171, 41942, 559, 35, 6, 180730, 114200, 83688, 1270, 175765, 6, 5, 3499, 19592, 38482, 6, 149344, 129, 244, 35172, 29015, 187706, 18102, 6, 4, 424, 57150, 328, 6, 158976, 969, 1125, 58110, 35556, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 1, 0, -100, -100 ]	[ 0, 1522, 8489, 55712, 121307, 23033, 88650, 6880, 17993, 36686, 3280, 6, 163184, 3258, 57878, 6, 5, 901, 4641, 66689, 6, 4, 129, 7196, 59585, 20, 1097, 6, 145527, 103, 1714, 121973, 6, 5, 195817, 145281, 79260, 6, 4, 819, 79015, 89, 8865, 23581, 27673, 2582, 1882, 193182, 44, 97836, 44, 49, 79171, 20, 47745, 76097, 2542, 6, 4, 57283, 10041, 718, 139428, 743, 135, 591, 4401, 43417, 529, 109313, 1117, 168285, 42689, 6, 4, 78467, 3795, 135, 80157, 5930, 91188, 121307, 75062, 6, 5, 75579, 121307, 23033, 49, 119065, 4387, 30963, 424, 196507, 244, 529, 11403, 26730, 215178, 8809, 50406, 6, 5, 672, 415, 957, 336, 62095, 59, 6, 4, 49, 779, 245, 34959, 11891, 2699, 6, 4, 211663, 109012, 1551, 53686, 4135, 38236, 4281, 59, 141272, 89, 6, 4, 1266, 83694, 407, 150574, 1993, 151480, 255, 103737, 695, 230090, 35, 407, 62399, 86079, 1993, 77, 969, 225181, 90773, 25077, 559, 6, 5, 75579, 121307, 23033, 9395, 30963, 424, 91935, 559, 25077, 559, 33372, 50406, 141272, 89, 12850, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 1, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 1, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 166459, 96408, 19114, 79015, 59, 6, 4, 414, 29, 10757, 77, 66505, 65960, 12854, 13589, 74871, 312, 6, 4, 41976, 152780, 20, 6, 93705, 1768, 47435, 44, 42229, 7044, 130, 44, 6, 4, 238359, 1768, 13117, 44, 9363, 26112, 1560, 44, 35, 27617, 44, 15348, 59, 25963, 44, 6, 4, 2262, 5573, 1730, 6962, 140620, 59342, 14560, 135, 201185, 827, 129, 78903, 1041, 6194, 30083, 1086, 183, 8635, 165567, 50203, 5785, 44664, 1874, 82243, 6, 5, 21199, 12854, 13589, 74871, 312, 6, 4, 129, 529, 123813, 20151, 79171, 20, 56869, 44, 9363, 26112, 24501, 44, 6, 4, 67589, 6527, 183, 127435, 49, 28203, 2097, 244, 140620, 2257, 6, 5, 65960, 12854, 13589, 74871, 312, 4387, 207074, 49, 14560, 66129, 52398, 36954, 419, 140620, 2257, 6, 4, 3433, 13390, 105, 43705, 44, 10172, 1086, 183, 8635, 165567, 50203, 44, 49, 4932, 111, 2356, 5753, 6, 5, 9504, 17260, 49, 151976, 149551, 312, 79171, 103, 12854, 13589, 74871, 312, 22263, 2033, 547, 6, 4, 414, 129, 1739, 87037, 130, 6, 4, 61, 72337, 138, 2699, 5785, 4932, 111, 2356, 5753, 7638, 56985, 227, 49, 86626, 191516, 9953, 305, 97986, 559, 84926, 6, 4, 114594, 6, 4, 129, 1739, 66689, 6, 4, 33583, 77, 42627, 27830, 71255, 18135, 33330, 718, 183, 8635, 1120, 20151, 68023, 34900, 50203, 6, 5, 101408, 215790, 107725, 63892, 6, 4, 87831, 19626, 13237, 72553, 227, 183, 1086, 70594, 245, 57328, 1281, 6, 4, 168933, 89, 62344, 3795, 6, 87924, 105, 518, 50671, 54315, 559, 135, 230867, 827, 6, 5, 34257, 77, 22947, 6, 4, 62948, 24430, 3216, 159315, 78903, 135, 183, 8635, 96126, 130, 132661, 50203, 6, 4, 45147, 10582, 52516, 179441, 70067, 2557, 87225, 6, 4, 40473, 9765, 195777, 3433, 194268, 6, 5, 32275, 1874, 183547, 44823, 407, 2660, 6, 4, 414, 4768, 255, 160931, 3258, 57878, 2984, 30502, 407, 105483, 1794, 5902, 9439, 888, 129, 38319, 312, 30826, 49, 209, 20, 423, 97986, 559, 84926, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 0, 0, 1, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, 1, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 1, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100 ]	[ 0, 3499, 957, 861, 2582, 2151, 6934, 2519, 3988, 419, 49, 9880, 35866, 415, 98542, 61, 141899, 407, 9228, 148387, 518, 69276, 21069, 41374, 244, 40269, 559, 19849, 9694, 154941, 415, 49, 9880, 35866, 928, 29, 49356, 4135, 2172, 4060, 336, 69987, 21533, 13, 6, 5, 417, 242697, 169489, 6, 4, 3216, 129, 60536, 123291, 6, 4, 49, 61321, 20793, 2374, 15, 62008, 141536, 55712, 1388, 6, 4, 49, 24863, 2172, 184050, 1993, 49, 42365, 2958, 41460, 45799, 6, 5, 131710, 59, 43282, 7031, 135, 150927, 130, 53821, 31104, 6, 4, 779, 79018, 89, 811, 27465, 424, 198480, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 49, 229110, 4060, 380, 1203, 4768, 98563, 10041, 66032, 49, 13442, 193737, 244, 183, 20793, 35310, 35, 178193, 6934, 2519, 52000, 34258, 49, 149220, 16266, 205, 6, 5, 20724, 1882, 8854, 10090, 9753, 1951, 4354, 6010, 6, 4, 414, 135, 6, 188685, 1768, 14171, 9880, 35866, 415, 94738, 61, 16760, 29, 141536, 89, 2395, 29, 66406, 51639, 84, 103300, 29170, 546, 6, 4, 7176, 6, 4, 129, 147587, 130, 18872, 112395, 92261, 6, 4, 326, 158263, 183122, 222, 129, 25390, 861, 17471, 14560, 6, 5, 901, 66689, 152067, 13117, 3980, 93, 1405, 50195, 59, 2693, 12910, 18269, 12276, 6, 4, 29, 4060, 336, 235596, 39218, 46950, 6266, 12276, 54412, 6, 4, 22978, 4406, 1752, 122477, 227, 35, 207053, 227, 105975, 72987, 66538, 6, 5, 7459, 1270, 424, 40269, 559, 20, 53804, 201360, 75429, 105, 49, 229110, 110251, 223578, 16833, 135, 34622, 9309, 328, 64783, 20, 9765, 23633, 63269, 135, 120677, 130, 6, 5, 5187, 214461, 2693, 12910, 551, 8427, 6, 4, 29, 17442, 23877, 6, 4, 2696, 1203, 1355, 67601, 25126, 118070, 424, 20, 61, 84, 103300, 59, 6, 103737, 43917, 27731, 69987, 21533, 13, 6, 4, 129, 67418, 11981, 46627, 69961, 49356, 4135, 5509, 4060, 380, 13117, 20, 4311, 7, 2320, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, 0, 1, -100, -100, 2, -100, -100, 0, 1, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 417, 229110, 49, 28344, 130, 156796, 103, 21220, 5573, 8441, 44, 76031, 197, 80046, 44, 107043, 20, 115165, 80046, 185248, 312, 107081, 25455, 79015, 6, 4, 414, 163955, 5593, 18731, 16662, 811, 93220, 1006, 1203, 224009, 232501, 1595, 49, 41841, 173067, 559, 49, 13387, 17414, 5119, 244, 35, 29, 5892, 36833, 7898, 27090, 650, 2687, 49, 52429, 2819, 1203, 68572, 7061, 87315, 158645, 227, 202295, 130, 35, 338, 20765, 73042, 6, 5, 901, 66689, 107081, 25455, 59, 6, 4, 13746, 106688, 989, 1093, 89815, 59, 6, 72522, 58007, 63422, 811, 87323, 197, 9953, 4082, 67201, 6, 4, 252, 71199, 103234, 224009, 49, 51231, 183, 2574, 6, 4, 47381, 2792, 186014, 89, 20, 2431, 7638, 811, 93220, 1006, 110284, 183, 209, 255, 2358, 21069, 28403, 6, 5, 417, 20755, 135, 24987, 6, 4, 87363, 107081, 25455, 6, 4, 235721, 80046, 70292, 107004, 71373, 8835, 222, 16833, 138423, 144675, 1114, 136985, 35, 20783, 9977, 39084, 29611, 6, 5, 4531, 5058, 79015, 6, 4, 414, 52805, 105, 4354, 15582, 2233, 44988, 129, 225498, 34911, 49, 211629, 6, 5, 44, 35524, 155700, 135, 188205, 419, 20, 59288, 3997, 57754, 4560, 87780, 44, 6, 5, 12382, 67356, 183371, 145797, 312, 12747, 6, 4, 690, 44, 1203, 80721, 6, 4, 3837, 11064, 2120, 133487, 1117, 6, 4, 2176, 1203, 41385, 29229, 63775, 830, 22474, 25734, 141941, 107043, 20, 115165, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, 0, 0, -100, 0, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, -100, 1, -100, -100, 2, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, -100, 2, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 1, -100, -100, -100, 0, 1, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 1, 0, 1, -100, -100, -100, -100, 0, -100, -100, -100, 0, -100, -100 ]	[ 0, 387, 67165, 9953, 138, 31482, 79574, 129, 28276, 6194, 13686, 15, 305, 31482, 129, 52429, 1388, 49, 29898, 5902, 78440, 49899, 146249, 8809, 29611, 1435, 58231, 12544, 59, 6, 3670, 58883, 7031, 90953, 59, 82681, 50406, 31479, 65960, 59, 23568, 1996, 72736, 20, 9504, 31061, 49394, 72491, 23568, 1996, 72736, 6, 5, 12786, 82487, 551, 183, 6, 10998, 104348, 1993, 49, 117617, 12661, 4476, 6, 5, 9504, 31061, 23568, 1996, 72736, 45918, 7031, 190, 61263, 60775, 1070, 6, 5, 49, 73951, 143550, 56746, 10849, 6, 133563, 8809, 23600, 6, 5, 417, 44321, 1070, 6, 5, 148751, 59, 90762, 12635, 55841, 144451, 1082, 6, 83389, 153408, 2431, 6, 5, 1435, 5, 2354, 5, 5494, 419, 85558, 2946, 6, 5, 417, 47114, 1070, 6, 5, 20, 3738, 160931, 153408, 20, 84, 179199, 32529, 135, 30300, 1551, 29, 1739, 94364, 105, 49, 100699, 52086, 14229, 1041, 12635, 23307, 6, 4, 4851, 2792, 591, 88164, 1105, 2699, 6, 5, 9783, 2042, 196838, 49, 141647, 312, 26667, 35, 101736, 5711, 551, 2511, 234976, 2519, 6, 5, 417, 28506, 1070, 6, 5, 114872, 23568, 1996, 1794, 29532, 1741, 179199, 49, 165319, 6, 5, 2718, 20231, 2699, 6, 4, 4222, 65960, 23568, 1996, 26401, 25254, 119906, 3455, 34078, 1551, 156014, 76247, 45961, 6, 4, 9504, 31061, 23568, 1996, 72736, 71993, 551, 49, 1435, 47871, 6, 5, 901, 1316, 3516, 9504, 31061, 49394, 72491, 33309, 7031, 119626, 208470, 43270, 743, 6, 4, 4987, 170769, 146408, 157592, 31303, 59, 25896, 6, 4, 12672, 419, 4423, 67876, 53352, 6, 148996, 44683, 8809, 76880, 25896, 6, 5, 12786, 4987, 5058, 109012, 1551, 177326, 89, 44, 24223, 10235, 80605, 32187, 292, 145251, 44, 6, 4, 14925, 33309, 7031, 34622, 35343, 2151, 6, 10998, 1269, 827, 2519, 153, 901, 87037, 130, 18293, 106828, 89, 3580, 81634, 6, 4, 60828, 135, 41620, 130, 9504, 89, 2102, 23568, 48970, 90798, 3318, 255, 71066, 424, 1435, 58231, 12544, 59, 49, 165319, 326, 158263, 10416, 91917, 83118, 62705, 419, 6, 5, 34257, 1355, 62705, 419, 165616, 13287, 49, 165319, 30300, 35, 199141, 82487, 52516, 6, 5, 9504, 31061, 23568, 1996, 72736, 3318, 235413, 5672, 49, 52429, 29, 33317, 526, 47453, 1041, 1551, 6, 13119, 2303, 8875, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 1, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 1, -100, 0, -100, 1, -100, 2, -100, 0, -100, 1, -100, 0, -100, 1, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, -100, 2, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100 ]	[ 0, 102716, 5509, 19149, 137136, 244, 127796, 1196, 21259, 49, 105539, 8830, 41228, 244, 35, 116276, 93644, 8854, 244, 35253, 326, 8808, 87104, 1196, 161057, 32187, 811, 957, 1752, 546, 30865, 358, 12544, 3280, 197530, 181817, 29, 33762, 6592, 1980, 2192, 53173, 35, 232833, 6314, 2042, 171715, 105, 55134, 25455, 969, 186232, 212, 140998, 159693, 3407, 8809, 68609, 98361, 6, 5, 241110, 3455, 25873, 419, 25254, 54434, 52742, 407, 31264, 11485, 4544, 718, 47745, 2042, 89574, 44, 144387, 312, 80018, 1417, 2509, 44, 180924, 137136, 244, 743, 380, 52516, 6, 4, 23858, 17330, 211151, 49, 51464, 4256, 6, 5, 5188, 3920, 79015, 197, 23294, 529, 237907, 29, 44, 28276, 3795, 37280, 1041, 44, 804, 72359, 20, 36690, 45961, 35, 21220, 5573, 8007, 44, 76031, 197, 80046, 44, 6, 5, 1089, 6592, 75703, 6, 4, 414, 49, 152280, 103, 3699, 150761, 217356, 21758, 36274, 13007, 1584, 989, 78214, 44, 55134, 1270, 179563, 44, 6, 5, 417, 66716, 212, 10698, 3318, 38393, 2454, 49, 123864, 197, 141013, 31148, 98732, 152, 79698, 89, 6, 4, 33317, 312, 193703, 1993, 6, 4, 93224, 103, 6, 4, 68516, 89, 35, 29, 1509, 16960, 1269, 6, 5, 1087, 132284, 197, 5058, 6, 4, 414, 16206, 3318, 34089, 8875, 380, 35, 29, 30296, 6, 191210, 1768, 96565, 6, 5, 77002, 424, 214233, 90870, 3407, 29, 54126, 20, 44, 80018, 166958, 44, 106843, 6, 4, 106064, 78210, 9694, 79171, 59, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 672, 54064, 185987, 49, 1450, 957, 64393, 229110, 79171, 20, 150451, 39061, 217163, 131567, 23241, 44494, 67196, 59, 2842, 197, 29078, 59637, 57207, 8568, 23241, 20, 6, 163308, 185248, 312, 4328, 358, 18169, 83694, 6, 4, 414, 129, 15921, 27319, 33825, 144554, 312, 197516, 135, 18449, 28196, 312, 191600, 989, 1145, 116416, 4018, 99634, 2192, 90737, 6, 5, 901, 1739, 66689, 6, 4, 1145, 164360, 52981, 61373, 14448, 2757, 800, 3712, 7246, 31825, 82427, 4988, 142797, 21758, 28832, 983, 35, 1725, 45759, 29, 30724, 18449, 19910, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 90737, 3318, 77294, 1117, 12826, 10633, 35458, 2519, 6, 5, 901, 66689, 185248, 245, 4328, 358, 31905, 6, 4, 29, 94447, 20620, 103, 3516, 14219, 79885, 2454, 6, 121326, 6103, 147000, 195817, 35, 36788, 380, 20, 151852, 1874, 31818, 227, 63091, 8441, 20, 1725, 36334, 2519, 3318, 112070, 17442, 34664, 83632, 35, 86168, 8808, 1741, 141642, 983, 5785, 87114, 24410, 3795, 193275, 135, 18449, 28196, 312, 6, 5, 4328, 358, 18169, 214461, 6, 4, 414, 100660, 99634, 1270, 90737, 59, 9395, 77, 149970, 1656, 10582, 1857, 75442, 87225, 6, 4, 252, 15582, 2151, 13299, 130, 33689, 6, 4, 77294, 43705, 36029, 48837, 6, 4, 132281, 103, 6, 4, 6, 203618, 103, 35, 22238, 66917, 44, 6, 5, 901, 1739, 66689, 6, 4, 3216, 12504, 44, 93976, 2557, 5902, 35, 252, 16823, 8570, 92860, 5902, 45086, 1281, 183, 82860, 138466, 13962, 3216, 7572, 68483, 117590, 29, 73869, 244, 90023, 244, 197516, 135, 18449, 28196, 312, 44, 6, 5, 61045, 59, 19951, 235899, 989, 49, 77828, 3699, 3577, 103, 29532, 71302, 6, 4, 23241, 214461, 6, 4, 414, 22793, 3873, 4019, 983, 3670, 20, 111034, 28008, 84, 21195, 29, 15479, 32369, 44, 119626, 129, 3577, 32822, 12202, 35, 1688, 49, 18334, 130, 7904, 129, 11373, 6194, 139428, 743, 6, 5, 5188, 9430, 83398, 518, 29, 199826, 34050, 559, 24111, 174788, 138466, 35, 255, 4968, 12626, 138466, 135, 6010, 6, 4, 3077, 13524, 13713, 3410, 129, 13170, 25514, 11373, 1270, 38850, 44, 6, 4, 20, 13398, 1266, 6, 5, 36933, 2574, 6, 4, 4328, 358, 18169, 83694, 6, 4, 414, 48122, 128170, 2842, 197, 29078, 59637, 21259, 8568, 77, 13524, 39648, 1730, 44, 29, 20638, 2192, 59956, 14448, 2757, 800, 3712, 7246, 31825, 82427, 4988, 3577, 32822, 2697, 35, 29, 30724, 18449, 19910, 44, 6, 5, 1813, 3920, 236442, 326, 103, 73909, 2549, 67589, 6527, 130641, 1117, 84820, 103, 121690, 33846, 29, 20638, 1857, 82427, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 1, 2, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]	[ 0, 193868, 3997, 158303, 109810, 59, 23294, 326, 167053, 1068, 226, 13701, 86162, 44, 1089, 24397, 124998, 61987, 559, 22776, 49, 52137, 1214, 44, 6, 5, 829, 67558, 13053, 591, 67492, 2946, 1219, 116, 8821, 141558, 6, 4, 4988, 9, 201, 6, 4, 11125, 15919, 59, 125867, 77, 2120, 6, 5, 25328, 197, 101327, 33520, 29, 197, 225697, 2715, 123931, 59, 158108, 18102, 6, 4, 125244, 1196, 208167, 89, 49, 17355, 74871, 103, 61987, 227, 35, 29, 58907, 21967, 154693, 6, 5, 5187, 150810, 49, 227338, 103, 6, 4, 518, 127530, 73932, 19596, 44, 16753, 49108, 87225, 650, 8899, 75703, 49108, 49647, 27833, 2233, 78412, 1114, 24397, 36062, 652, 13119, 559, 49, 27617, 244, 44, 6, 5, 417, 78412, 4256, 13995, 6, 18655, 640, 1203, 82243, 8568, 6, 4, 3837, 116083, 529, 61987, 1281, 38850, 6, 5, 1087, 54064, 42036, 29, 105, 44548, 49, 78412, 1993, 8544, 77, 137083, 156360, 69366, 1117, 231158, 11875, 22776, 326, 61987, 227, 6, 5, 5187, 150810, 49, 13053, 103, 6, 4, 78412, 1114, 24397, 32302, 155314, 652, 13119, 1891, 928, 27617, 6, 4, 54064, 76240, 105, 29, 84, 44548, 49, 78412, 1993, 6, 4, 100625, 105, 16247, 888, 52217, 129, 1739, 61987, 1258, 49, 107058, 152, 805, 97513, 110284, 61987, 559, 6, 4, 779, 77, 5138, 13484, 29717, 1270, 88478, 213372, 695, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 78412, 1993, 105581, 61987, 1891, 4281, 2819, 2510, 97513, 110284, 61987, 559, 6, 4, 26064, 227, 2180, 31877, 13484, 29717, 2192, 25068, 213372, 695, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 78412, 1993, 6962, 61987, 1891, 4281, 6, 4, 779, 77, 5138, 5316, 9, 29717, 1270, 88478, 213372, 695, 88478, 127523, 73976, 59, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 10190, 28551, 11519, 6962, 61987, 1891, 4281, 2819, 836, 97513, 110284, 61987, 559, 6, 4, 26064, 227, 2180, 31877, 5316, 9, 29717, 2192, 25068, 213372, 695, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 78412, 1993, 105581, 61987, 1891, 4281, 6, 4, 779, 77, 5138, 4382, 9, 29717, 1270, 25068, 1281, 2493, 34664, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 16247, 2549, 5930, 13617, 178385, 78412, 89, 2519, 6962, 61987, 1891, 4281, 6, 5, 417, 104939, 102356, 61, 43270, 743, 78412, 1993, 35, 811, 18954, 8458, 103, 1417, 1488, 677, 37083, 129, 77733, 22573, 175492, 22937, 24397, 36062, 652, 13119, 559, 22776, 49, 27617, 244, 191600, 989, 54982, 77416, 16117, 6, 5, 417, 2790, 652, 4947, 1343, 129, 58601, 97739, 743, 183, 50406, 9403, 6, 4, 128530, 6929, 5840, 6, 4, 92364, 424, 84723, 128810, 206318, 9403, 6, 4, 3693, 152067, 512, 161679, 8568, 6, 4, 201, 152067, 183, 58907, 6, 4, 54064, 36689, 29, 108393, 3407, 78412, 1993, 6, 4, 252, 5058, 13022, 78412, 1993, 6, 5, 25328, 33520, 29, 255, 18954, 928, 49, 45948, 19776, 36954, 518, 4641, 105046, 2395, 43155, 164668, 49, 51571, 1551, 6, 4, 187738, 130, 2390, 226, 13701, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100 ]	[ 0, 829, 70067, 2557, 11519, 135, 35, 380, 17181, 11231, 217163, 131567, 76424, 1270, 116265, 1082, 110984, 70993, 197, 20, 32275, 1857, 186734, 1857, 67395, 45267, 72472, 131771, 11231, 106392, 21069, 177540, 559, 6, 5, 417, 229110, 1266, 232969, 176807, 827, 70993, 1270, 35, 198859, 197, 20, 32275, 1270, 104494, 43434, 3823, 6, 5, 5187, 79015, 89, 23294, 193182, 44, 97836, 44, 49, 58727, 197, 111795, 71141, 161767, 43812, 20, 6, 51896, 59, 6, 4, 49, 68642, 24744, 30102, 78785, 3433, 13390, 68146, 181262, 6, 4, 414, 109665, 652, 957, 4774, 120553, 90938, 88104, 67395, 45267, 72472, 49, 24950, 20, 6, 4256, 60452, 32560, 336, 695, 2699, 61, 119880, 103, 213506, 183007, 180079, 1082, 144844, 2542, 6, 4, 819, 49, 16247, 1595, 2958, 49, 164261, 6, 4, 1145, 35, 811, 16247, 1595, 2958, 61, 4641, 55664, 227, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100 ]	[ 0, 80880, 41991, 135, 178106, 130, 36560, 24438, 8635, 40087, 529, 35130, 50252, 20733, 252, 7878, 50121, 205, 6, 4, 116058, 90569, 129, 15983, 336, 6, 4, 43592, 212, 29, 151075, 103, 61, 86075, 135, 36329, 1768, 21069, 84926, 6, 4, 79015, 197, 153827, 62, 10798, 118, 27686, 21072, 6, 5, 672, 65170, 6, 105192, 58007, 89, 62669, 6, 4, 414, 28081, 41991, 4987, 135, 73144, 212, 529, 35130, 50252, 20733, 6, 4, 779, 3258, 559, 38974, 65457, 194747, 89, 6, 4, 62024, 40403, 58711, 25300, 28727, 9296, 6, 4, 32915, 15158, 29078, 83118, 113473, 419, 16846, 77, 119683, 43480, 9, 109359, 414, 156721, 20, 44051, 13475, 54441, 380, 129, 119536, 1086, 73144, 6, 5, 15983, 54153, 194747, 1041, 161581, 29, 12143, 49, 32158, 8165, 6, 4, 4222, 252, 7878, 50121, 222, 217159, 804, 800, 17831, 237702, 440, 3635, 47952, 49, 23085, 41322, 145109, 45697, 8809, 6, 204209, 1082, 51410, 2033, 44, 107184, 13386, 44, 6, 5, 804, 800, 17831, 237702, 12332, 2958, 3146, 154941, 751, 129, 38974, 65457, 212787, 6, 5, 140782, 28081, 53177, 20, 305, 29, 427, 6, 82907, 312, 21958, 6, 4, 637, 66032, 423, 29, 496, 192730, 559, 6, 5, 804, 800, 17831, 44405, 59131, 4641, 529, 35130, 50252, 20733, 6, 4, 14239, 414, 3151, 35130, 3988, 144279, 135, 13746, 67453, 135624, 130, 214209, 29, 15983, 336, 6, 5, 80880, 41991, 18637, 39595, 63133, 130, 6, 38962, 130, 424, 64110, 55792, 44, 216985, 244, 84274, 136593, 44, 6, 4, 811, 71066, 1196, 29, 151075, 103, 39967, 13, 49, 1450, 49361, 72907, 238581, 6, 5, 417, 54412, 130, 129, 115257, 25254, 84557, 43996, 143043, 35130, 3988, 144279, 10604, 551, 6871, 130, 7878, 35464, 6, 4, 43592, 38964, 129, 115257, 68388, 135, 36329, 1768, 21069, 84926, 6, 5, 672, 35130, 50252, 58833, 3549, 5058, 36560, 24438, 723, 40087, 529, 49, 52189, 2151, 8679, 14809, 6871, 130, 7878, 35464, 6, 5, 4531, 132428, 12826, 33641, 3407, 53951, 1857, 70803, 6, 5, 19821, 4485, 44, 165616, 159976, 424, 164319, 59, 44, 7638, 112555, 95651, 227, 589, 59388, 6546, 559, 108912, 31646, 105, 6, 4, 65759, 241854, 1725, 237412, 37495, 35, 28727, 9296, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 1, -100, -100, 2, 1, 2, 2, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 190392, 1041, 103089, 32347, 3670, 141013, 123517, 142797, 227, 49, 63326, 20, 6, 71244, 103, 6, 4, 14925, 108718, 49, 187432, 1214, 7843, 969, 181572, 44, 146844, 52883, 22146, 18846, 2716, 677, 20, 10032, 24940, 1417, 830, 172847, 47177, 6304, 49, 56126, 6467, 49, 811, 156069, 91917, 103, 6, 4, 129, 244, 35172, 13701, 6826, 6, 4, 28678, 35458, 1214, 35, 969, 861, 3737, 1214, 6, 5, 5187, 181866, 989, 49, 104650, 2172, 49, 2042, 336, 1125, 65055, 129162, 1993, 591, 74594, 78917, 6, 191210, 1082, 103380, 63326, 20, 6, 71244, 59, 6, 4, 129, 186543, 29, 1097, 6, 4, 145273, 77472, 3433, 132833, 4684, 29, 135, 45093, 175806, 4060, 1041, 89, 6, 5, 829, 6346, 48981, 40342, 142598, 2431, 21388, 81966, 5719, 129, 6592, 49700, 60834, 129131, 6, 5, 829, 68295, 6103, 29440, 6, 4, 29, 33763, 2431, 14219, 33739, 227, 121690, 189756, 6, 4, 23494, 54064, 2454, 49, 196507, 103, 3146, 57443, 6, 5, 94483, 227, 44, 88966, 227, 44, 20, 41976, 25805, 154888, 22146, 18846, 94078, 6, 4, 40331, 56370, 24940, 1417, 6, 4, 216784, 5957, 10788, 6, 4, 120276, 4910, 105, 1447, 559, 6, 4, 40331, 123831, 312, 7365, 35, 135694, 812, 6346, 2364, 11409, 6346, 20, 407, 68539, 62852, 49, 1332, 743, 20, 3470, 3712, 698, 7765, 161057, 170852, 35, 44109, 7, 6, 4, 4851, 7044, 861, 93337, 150849, 32347, 3670, 141013, 77892, 100178, 227, 6, 5, 5758, 8466, 33309, 7031, 139055, 1730, 419, 6, 4, 121320, 419, 61, 9753, 26730, 135, 66072, 60787, 811, 11355, 59, 6, 4, 252, 5058, 501, 10698, 419, 195996, 11519, 6, 4, 17843, 6, 4, 407, 71405, 143542, 6, 743, 26813, 800, 1270, 101938, 6, 5, 84241, 1752, 1584, 9159, 6878, 6, 4, 414, 129, 81187, 29034, 49, 44109, 7, 234570, 88129, 559, 6, 4, 29846, 19951, 39928, 56102, 1117, 1725, 28243, 2716, 25455, 6, 5, 107920, 6, 4, 440, 1882, 93804, 89, 206857, 702, 45799, 26730, 6, 5, 44, 146844, 52883, 44, 129, 43136, 49, 27662, 60128, 919, 16312, 4768, 10090, 10573, 743, 10586, 2699, 6, 4, 4222, 49328, 424, 52218, 811, 156069, 123546, 55428, 6878, 718, 18731, 18419, 61, 34622, 6, 5, 589, 23774, 415, 61, 1714, 13539, 86783, 6, 4, 61066, 187432, 59, 6, 4, 811, 52829, 41976, 12780, 35, 223957, 123020, 6878, 66032, 5532, 6, 5, 145263, 1725, 92228, 62852, 35, 49, 6, 133419, 103, 9571, 2699, 2262, 57150, 106380, 6737, 112288, 130914, 129131, 6, 4, 54064, 101253, 424, 5684, 165108, 6, 5, 5187, 181866, 989, 49, 129162, 1993, 591, 74594, 78917, 6, 4, 115350, 49, 170370, 5902, 42816, 49, 51752, 103089, 32347, 3670, 141013, 123517, 142797, 227, 4387, 7171, 1488, 812, 141036, 19776, 25328, 407, 186274, 135, 29356, 827, 6, 4, 33309, 104335, 989, 139055, 1730, 419, 35, 8865, 46414, 82112, 6, 5, 9504, 17260, 1266, 53821, 35797, 151120, 1041, 24896, 6527, 49, 239535, 13701, 15777, 220116, 5902, 193712, 89, 49, 1709, 59273, 1269, 6, 4, 14239, 414, 50827, 440, 137753, 718, 88375, 77, 234438, 90216, 29751, 142598, 6, 4, 779, 35, 41976, 27055, 1714, 13539, 1196, 64312, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 1, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, 1, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]	[ 0, 5188, 3920, 83694, 49, 64230, 103, 41976, 175039, 15126, 476, 11519, 6, 4, 200093, 105677, 238453, 227, 129, 811, 178035, 12206, 559, 8865, 46414, 8441, 40331, 110765, 92261, 6, 5, 417, 120496, 15126, 476, 11519, 49, 14560, 440, 73672, 217163, 157592, 6, 30363, 8809, 147459, 129, 69530, 6, 4, 105189, 130, 6, 4, 27617, 130, 35, 6, 81660, 1258, 137527, 238434, 6, 4, 252, 5058, 33567, 238453, 227, 56110, 983, 20992, 1417, 15057, 2557, 6, 4, 7176, 29, 67558, 8270, 9395, 38106, 2151, 98326, 146408, 175039, 22239, 6, 4, 6, 190058, 811, 121973, 61, 49623, 28832, 197, 29, 28203, 2097, 244, 6, 5, 901, 66689, 56110, 1114, 20992, 1417, 15057, 8489, 6, 4, 1739, 811, 121973, 3318, 127815, 197, 6, 4, 157564, 17896, 6, 4, 74326, 1086, 9430, 24214, 3410, 80305, 8568, 35, 14560, 49, 186274, 135, 8865, 46414, 82112, 6, 4, 14925, 9395, 86626, 8095, 1768, 518, 8808, 43475, 6, 5, 208494, 89, 238453, 227, 14219, 5058, 440, 24178, 85896, 29, 167727, 87730, 28203, 2097, 244, 49, 36954, 103, 129, 27617, 130, 35, 6, 81660, 1258, 84723, 227, 132943, 114516, 2257, 35, 86079, 227, 129, 6, 192475, 1993, 127318, 235721, 238453, 227, 969, 8492, 2192, 54939, 129, 52667, 105, 129993, 29, 77390, 11284, 85977, 6, 4, 3837, 14219, 183579, 49, 68642, 28203, 1394, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 1, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 1, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 1, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 44308, 105, 162412, 179402, 89359, 1089, 155125, 89, 60769, 158234, 48844, 35, 63214, 164263, 105539, 8830, 41228, 244, 21259, 228226, 89, 187969, 1086, 75566, 130, 30161, 103, 1089, 34640, 6, 5, 50876, 2732, 3318, 44292, 2454, 17059, 22259, 419, 129, 96824, 48844, 35, 150527, 183014, 103, 55616, 6, 5, 87956, 228226, 89, 63016, 312, 31843, 6, 151875, 1009, 22835, 25455, 8639, 35789, 3374, 1891, 35, 71226, 211455, 105, 31877, 145871, 60769, 158234, 48844, 536, 3281, 130, 18449, 928, 135, 23506, 22239, 6, 4, 35, 128379, 105539, 8830, 41228, 244, 21259, 1537, 18654, 29482, 18633, 10032, 736, 14307, 35, 132782, 31877, 174001, 341, 61692, 24186, 698, 168641, 6546, 135, 22718, 6, 5, 64872, 13192, 15856, 4387, 3505, 122318, 4768, 49, 242697, 6, 5, 4946, 14758, 2120, 143549, 6, 4, 27390, 182860, 197, 31915, 60303, 341, 61692, 235721, 1089, 34640, 6, 5, 218116, 227, 1145, 35, 77, 176283, 84, 13702, 3410, 73013, 89010, 245, 6, 4, 35, 19011, 122318, 1114, 32480, 4387, 83280, 5969, 4768, 29, 16357, 103, 649, 14160, 6, 5, 65346, 4018, 71226, 211455, 105, 31877, 174001, 20292, 49, 53848, 447, 27579, 546, 111853, 23569, 6, 35308, 226232, 135, 201167, 827, 31843, 1281, 16846, 12332, 5145, 174412, 6, 5, 5494, 59383, 3738, 5434, 89359, 1089, 34640, 70222, 197, 181817, 29, 159411, 751, 35, 80816, 63922, 201350, 695, 228407, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 1, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 129056, 20, 40010, 128530, 8568, 21996, 107371, 6714, 228226, 49, 229110, 128815, 128530, 117742, 812, 2172, 110161, 1993, 64456, 1196, 135557, 303, 29, 96343, 6, 4, 144448, 120181, 9471, 28671, 1698, 8571, 222, 6, 5, 1721, 60834, 2042, 12758, 27183, 45105, 23299, 49, 33969, 5785, 361, 27091, 3738, 1739, 22474, 52189, 1114, 6, 4, 19011, 20850, 32739, 135557, 303, 77, 42905, 6, 5, 3858, 2743, 65915, 29, 13962, 193182, 44, 97836, 44, 6, 4, 77567, 21990, 214461, 6, 4, 414, 4968, 6794, 64456, 1196, 135557, 303, 77, 18135, 61228, 97373, 135, 11373, 139825, 24940, 1281, 29, 6, 175154, 6, 5, 25369, 1266, 77, 13524, 39648, 1730, 6, 4, 414, 158760, 3318, 811, 99087, 303, 48744, 214966, 88478, 135557, 303, 49, 51231, 183, 28727, 29, 11373, 92692, 68096, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, 2, -100, 0, 1, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 1, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 188719, 20803, 31482, 779, 1891, 135, 229110, 59, 29, 158263, 49, 12578, 1768, 67201, 103, 29, 94447, 141630, 103, 9037, 53373, 66102, 106, 129, 144451, 4045, 190758, 105, 49, 6, 186143, 67601, 45799, 6, 5, 5187, 79015, 89, 193182, 44, 97836, 44, 529, 237907, 29, 79171, 20, 90466, 53448, 1270, 35736, 51936, 57231, 219873, 1857, 56869, 195817, 9403, 6, 4, 98563, 159976, 49, 67201, 103, 16357, 103, 75429, 35, 3146, 81939, 90229, 546, 6, 4, 63314, 8118, 6, 4, 424, 20, 61, 183, 13510, 17425, 25057, 56246, 6, 5, 1089, 695, 8870, 121320, 3873, 143862, 49, 387, 69669, 1196, 138199, 49, 81402, 336, 35, 115888, 103, 6, 5, 901, 13385, 804, 72359, 20, 36690, 45961, 6, 4, 92548, 91188, 33309, 6878, 116, 45799, 1196, 54315, 59, 6, 5, 67353, 2707, 235091, 4387, 60300, 81646, 6, 5, 672, 7900, 129308, 3146, 88966, 227, 44, 18777, 312, 40687, 44, 6, 5, 3743, 121124, 64257, 135712, 81250, 65718, 989, 2530, 4641, 18620, 29626, 312, 1269, 6, 5, 1813, 1891, 1006, 45799, 59, 11004, 77, 29514, 227, 6, 4, 111529, 89, 49, 79171, 20, 47745, 195817, 6, 5, 901, 2262, 30102, 70209, 173327, 3433, 13390, 68146, 6, 4, 45799, 42393, 197, 29230, 424, 20, 61, 33762, 150826, 1270, 141452, 135, 150927, 130, 969, 5347, 9279, 63671, 30352, 205, 29751, 135712, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 1, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 1, 0, 0, -100, 0, -100, -100, 0, 1, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 19711, 63162, 89, 7133, 8007, 22776, 129, 51360, 1725, 215012, 6, 4, 49672, 723, 245, 64089, 14157, 49, 52429, 6, 4, 44, 77, 171905, 141036, 1041, 6194, 47650, 42056, 91917, 105, 44, 6, 5, 5188, 3920, 23294, 83694, 29, 79171, 20, 150451, 652, 52429, 217163, 131567, 3512, 83146, 380, 20, 33286, 13682, 35736, 132, 3823, 2354, 3159, 1388, 195817, 8568, 21996, 29148, 652, 56746, 6, 5, 29148, 652, 56746, 29, 41883, 547, 6, 4, 414, 1741, 63162, 89, 7133, 8007, 49, 52429, 83280, 19739, 255, 2588, 67165, 35, 6, 4, 129, 33762, 54671, 78285, 82191, 6, 4, 29, 23294, 4641, 4768, 83709, 27465, 9953, 209, 21069, 35, 380, 26065, 1315, 34597, 6, 4, 90732, 131943, 49, 211629, 6, 5, 3858, 2743, 65915, 29, 34819, 8865, 23581, 27673, 2582, 10788, 407, 23334, 312, 1757, 50628, 11519, 424, 7572, 546, 4558, 22776, 6, 4, 77, 236077, 244, 1741, 63162, 89, 7133, 22959, 6, 4, 1266, 111529, 6, 4, 414, 58, 205, 32511, 89703, 9395, 117874, 35, 12504, 77, 440, 124270, 44, 6, 5, 4531, 130641, 547, 6, 4, 414, 6, 4, 57652, 154327, 1041, 11312, 6, 4, 22776, 103, 6, 4, 440, 4682, 1120, 23969, 49, 107544, 27984, 227, 8568, 6, 4, 49, 2660, 20068, 35, 49, 165319, 4, 58, 6737, 41462, 227, 138180, 165862, 51984, 129, 51360, 213229, 3107, 129, 51360, 215012, 44, 6, 5, 21199, 6, 4, 214461, 128379, 2429, 2354, 3159, 4, 58, 167312, 2557, 137083, 69378, 38086, 1117, 19011, 12480, 51984, 44, 6, 5, 103830, 2574, 6, 4, 29148, 652, 56746, 130641, 547, 6, 4, 414, 6, 4, 57652, 141036, 1041, 6194, 47650, 105, 13867, 2699, 44, 1089, 31497, 103, 1741, 141642, 1114, 22776, 9403, 44, 6, 4, 31646, 7044, 158958, 49, 8568, 183, 1488, 812, 6, 4, 252, 93625, 44, 77, 9395, 6737, 245, 1323, 60769, 44, 6, 5, 2443, 2188, 2395, 1941, 51984, 27710, 226051, 49197, 200438, 47650, 419, 6, 5, 36933, 2574, 6, 4, 57652, 236561, 9403, 6, 4, 37441, 103, 197, 225201, 2715, 5999, 35, 31497, 187793, 23334, 2530, 29, 103897, 1993, 164299, 22996, 6, 5, 417, 58858, 7904, 1741, 63162, 89, 7133, 8007, 18846, 4286, 78285, 50370, 77, 6, 31397, 60407, 44, 6, 4, 20, 111529, 21996, 29148, 652, 56746, 6, 5, 21199, 6, 4, 111529, 1266, 6, 4, 27984, 54976, 12747, 9072, 105, 3516, 7572, 62561, 47638, 51984, 6, 4, 414, 35, 91369, 197, 6, 4, 49, 71007, 6, 4, 49, 26062, 10849, 2743, 6, 5, 1813, 3920, 6, 4, 216793, 29148, 652, 56746, 6, 4, 44, 37584, 150219, 137083, 197, 7044, 110100, 27224, 20850, 163955, 1009, 18731, 2519, 819, 77, 6346, 85979, 11312, 23969, 141036, 1041, 6194, 154327, 1041, 11312, 44, 6, 4, 235714, 255, 29440, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0 ]	[ 0, 105714, 105, 44653, 44664, 1874, 116965, 326, 158263, 217682, 4684, 47172, 165324, 407, 25862, 1214, 152280, 695, 218697, 1114, 2578, 118036, 8489, 49, 228323, 7765, 35, 41374, 244, 27617, 244, 6, 5, 70109, 42416, 103, 104633, 212277, 56291, 85946, 89, 98260, 53862, 6, 4, 41346, 129, 20, 6, 147944, 77, 106064, 989, 1688, 407, 113698, 221864, 2172, 114088, 130, 15126, 6, 4, 252, 63946, 419, 13385, 153508, 989, 44, 10090, 67333, 5969, 1874, 8775, 44, 6, 4, 1093, 191654, 35, 1488, 35, 23494, 34478, 6, 5, 39466, 9694, 581, 19114, 106064, 407, 2660, 6, 4, 414, 49, 27662, 60128, 41374, 244, 241151, 34900, 54039, 129, 36530, 77, 18245, 25862, 49, 228323, 7898, 143331, 6, 4, 127754, 312, 29, 80467, 168430, 312, 44, 26396, 551, 1006, 1729, 17471, 57232, 44, 6, 5, 901, 38854, 4256, 179779, 1196, 166192, 6, 4, 29, 3837, 243211, 4354, 90559, 6, 4, 969, 8679, 14809, 26396, 551, 1006, 6, 68668, 65796, 199141, 35, 16117, 7405, 2578, 118036, 8489, 239651, 6, 5, 72957, 245, 26396, 551, 1006, 1729, 17471, 57232, 6, 4, 819, 529, 109313, 4684, 8865, 23581, 27673, 2582, 1584, 19114, 6, 4, 94393, 32302, 49, 78210, 7898, 63972, 103, 67823, 6, 4, 114594, 49, 22326, 40341, 4641, 192692, 36858, 227, 6, 8835, 128898, 1584, 170525, 59, 16515, 25029, 83891, 59, 6, 4, 7176, 6, 4, 49, 8914, 44515, 6, 4, 9395, 30300, 1551, 76813, 3007, 65743, 112298, 650, 6, 4, 84, 178757, 1857, 76903, 424, 4932, 111, 2356, 5753, 49, 20755, 135, 85096, 130, 44, 78903, 419, 93096, 423, 97986, 559, 44, 6, 5, 16515, 2757, 83891, 6, 4, 129, 70710, 1114, 130, 116965, 6, 4, 78467, 135, 43270, 743, 13117, 30543, 425, 6, 4, 49672, 162412, 129898, 419, 1874, 110284, 5785, 1332, 743, 20, 3470, 3712, 698, 21967, 154693, 6, 5, 44, 417, 77828, 3699, 6171, 80432, 36129, 407, 20755, 5842, 255, 25734, 18372, 50406, 2578, 118036, 8489, 35, 127755, 419, 83891, 419, 44, 6, 4, 20, 181866, 90559, 6, 5, 417, 129131, 47190, 121450, 32369, 12197, 79171, 20, 34078, 245, 47156, 52400, 5902, 91791, 152, 44, 1509, 77, 19458, 6, 4, 7193, 38023, 215895, 1729, 17471, 57232, 6, 5, 1509, 2530, 19458, 6, 4, 414, 1688, 84, 50406, 6, 4, 1688, 84, 1739, 255, 1794, 27055, 6171, 58907, 7765, 186234, 637, 122614, 20, 27035, 35, 1270, 73955, 61, 10633, 35458, 419, 44, 6, 5, 901, 70710, 4256, 153898, 312, 45697, 5902, 116965, 2356, 5753, 19114, 6, 4, 49, 27662, 60128, 6, 81552, 2519, 424, 4560, 58382, 6, 4, 235899, 44, 10172, 4932, 111, 2356, 5753, 44, 6, 4, 129, 44106, 58907, 21967, 154693, 131567, 447, 148996, 7843, 827, 50406, 9403, 174051, 171280, 55953, 35, 210, 1343, 245, 2578, 118036, 8489, 228162, 59, 1729, 17471, 57232, 6, 5, 5832, 1882, 42689, 424, 179779, 1196, 166192, 90559, 154600, 1730, 819, 44, 75854, 3795, 44, 6, 5, 166459, 128844, 12197, 6, 123967, 1114, 4910, 136458, 212, 6, 4, 40594, 90569, 6, 4, 414, 84, 2578, 118036, 8489, 35, 1739, 255, 1794, 27055, 6171, 180079, 2958, 58907, 7765, 186234, 6, 5, 4910, 136458, 303, 440, 3920, 111529, 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 ]
[ -100, 0, 0, 0, 0, -100, 0, -100, 1, -100, 2, -100, 0, -100, -100, 0, -100, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 1, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 1, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 1, -100, -100, -100, 2, -100, 2, -100, 0, -100, 1, -100, -100, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 1, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 1, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, 1, 0, -100, -100 ]	[ 0, 12459, 20803, 184743, 93527, 139425, 35921, 109375, 195799, 695, 55692, 59, 90984, 476, 17524, 51192, 244, 135, 14560, 20, 44, 200219, 20917, 44, 35, 44, 948, 13135, 3516, 312, 44, 6, 4, 27187, 6, 4, 86326, 6, 4, 81250, 29, 34632, 6, 196142, 2192, 34050, 129, 132281, 130, 98329, 130, 80113, 736, 228185, 59, 6, 5, 5187, 23633, 33907, 8865, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 424, 166192, 49, 39466, 103, 6, 4, 7762, 8688, 2233, 36098, 3997, 29356, 15, 417, 19505, 1388, 109810, 59, 13299, 407, 234578, 70726, 27187, 6, 4, 7176, 206778, 547, 14560, 49, 44, 119880, 130, 58, 133403, 24873, 13701, 201727, 244, 41374, 244, 67823, 5785, 39890, 407, 85037, 736, 3712, 1196, 6, 34887, 6, 5, 77900, 6, 4, 102823, 103, 417, 19505, 49, 229110, 6, 4, 23990, 222, 78573, 8871, 72072, 50560, 237801, 6, 4, 1145, 819, 69893, 22523, 86222, 119626, 93527, 89, 120553, 518, 8688, 13682, 50922, 28603, 20, 101329, 183, 58215, 6, 5, 98965, 82191, 27187, 6, 4, 173383, 255, 116, 97986, 559, 84926, 138826, 138466, 21313, 827, 14560, 183, 58215, 49, 18969, 142419, 1214, 49, 407, 85037, 736, 3712, 1196, 49987, 244, 2857, 800, 30200, 7765, 57172, 7765, 57444, 559, 6, 4, 20388, 146041, 93481, 35, 22146, 20029, 6, 5, 89805, 11312, 73429, 6, 234085, 14560, 92173, 23299, 230759, 36098, 2958, 22474, 4968, 1125, 48520, 151755, 42136, 34900, 67823, 49, 20228, 407, 85037, 736, 3712, 1196, 34887, 1214, 49, 7904, 6, 4, 2696, 64456, 1874, 148657, 28198, 32369, 49, 14560, 5, 114113, 130525, 736, 91477, 49, 2660, 6, 4, 414, 64456, 13345, 407, 85037, 736, 3712, 1196, 67823, 143948, 31189, 77, 1086, 14891, 4354, 57328, 1281, 6, 5, 21199, 27187, 84014, 6, 4, 414, 65376, 103, 44, 6, 39614, 3280, 183, 58215, 58, 19592, 82608, 59288, 3455, 6, 133403, 24873, 68752, 45697, 5902, 167137, 6, 5, 417, 19505, 22474, 15919, 31597, 62344, 3795, 187312, 60128, 6, 5, 5187, 529, 109313, 4684, 63946, 89, 6, 4, 718, 106, 60115, 200921, 2699, 14560, 13995, 27142, 122220, 166981, 6, 4, 82363, 23969, 178245, 79523, 6, 4, 27035, 49922, 197, 73796, 23971, 419, 15215, 698, 37083, 529, 22239, 27187, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 1, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 1, 0, 0, -100, 1, 0, -100, 0, 0, 0, 0, 0, -100, 1, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]	[ 0, 39875, 2542, 44308, 15052, 212, 518, 176816, 1114, 22470, 652, 129, 208005, 130, 3216, 1741, 23984, 1006, 6, 5, 5188, 3920, 79015, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 82681, 6, 208150, 245, 124698, 66699, 9403, 137527, 10032, 526, 14480, 6, 5, 901, 1739, 66689, 6, 4, 1203, 187588, 129, 208005, 130, 14219, 811, 93220, 1006, 255, 106, 60115, 234290, 2699, 6, 5, 180497, 217163, 124698, 111529, 6, 4, 414, 12358, 41362, 213390, 178385, 6962, 121706, 47853, 2151, 24143, 419, 6, 4, 35, 214461, 6, 4, 414, 85492, 245, 27965, 22470, 652, 27710, 3505, 176816, 59, 61, 25862, 18102, 38306, 76880, 6, 4, 252, 5058, 50203, 6, 4, 119102, 17330, 183, 55735, 176729, 89, 2457, 1857, 40687, 6, 4, 35231, 71066, 1857, 14560, 35, 8005, 827, 27187, 6, 5, 5187, 80894, 242861, 41976, 2429, 5840, 9403, 65960, 70259, 29233, 559, 6, 4, 141129, 129, 208005, 130, 201499, 21322, 4159, 1595, 22947, 106, 97986, 59, 28403, 6, 5, 5187, 106064, 21220, 5573, 8007, 44, 76031, 197, 80046, 44, 6, 4, 99920, 20, 40010, 8568, 21996, 27910, 86079, 49, 152280, 103, 3699, 119316, 989, 71487, 89, 76404, 11519, 12434, 650, 983, 6, 5, 901, 66689, 151263, 175030, 128530, 6, 4, 42662, 6, 4, 4222, 591, 45655, 143043, 57457, 30984, 6, 4, 4703, 61506, 19776, 54228, 12434, 650, 983, 6, 4, 44, 38503, 77, 235129, 197, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, -100, -100, 2, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100 ]	[ 0, 901, 66689, 63946, 59, 193182, 44, 97836, 44, 6, 4, 8604, 2233, 35, 185291, 245, 5711, 58727, 197, 111795, 71141, 54039, 44, 6, 89067, 476, 27856, 184104, 559, 44, 20, 3738, 187110, 1114, 10277, 559, 173067, 17414, 751, 49, 211629, 44, 161581, 202884, 44, 6, 4, 414, 44, 7329, 223829, 559, 49, 52429, 77, 3318, 44, 6, 5, 672, 2052, 65055, 53448, 1270, 35736, 160181, 6674, 80046, 86230, 110765, 92261, 13398, 21220, 5573, 8441, 44, 76031, 197, 80046, 44, 6, 4, 414, 33325, 184104, 559, 29514, 6, 4, 123942, 989, 1725, 2724, 227, 10849, 6, 5, 447, 63091, 8441, 3549, 49704, 407, 137171, 12318, 6, 4, 12703, 29, 14276, 546, 184104, 227, 518, 1741, 16247, 751, 1145, 116416, 1082, 44, 155030, 59, 44, 6, 5, 239389, 1355, 3738, 173067, 59, 29, 5892, 36833, 1269, 49, 6, 47871, 120617, 183935, 989, 185021, 39937, 29, 133086, 2562, 5902, 93053, 135, 62415, 130, 407, 2660, 6, 4, 414, 1266, 135, 15512, 115122, 110146, 129, 134721, 1993, 7931, 312, 13636, 559, 6, 5, 901, 35734, 55447, 63091, 122477, 227, 35, 174192, 89, 3928, 11620, 529, 173067, 17414, 7613, 6, 5, 6, 132250, 245, 1086, 88375, 35, 591, 132027, 1214, 6, 4, 255, 59576, 1196, 440, 3433, 13390, 132017, 89, 6, 4, 41976, 6, 47871, 120617, 9159, 547, 6, 4, 414, 44, 130739, 33690, 1045, 1006, 49, 591, 9685, 1625, 526, 58036, 5058, 3549, 44, 6, 5, 417, 690, 1355, 3699, 1266, 39775, 7846, 77, 20065, 44, 23307, 10606, 44, 158865, 2958, 63091, 122477, 559, 6, 5, 44, 2857, 212, 168371, 29, 4042, 819, 29, 87861, 103, 53448, 1270, 35736, 160181, 6674, 6, 4, 35, 29, 8808, 158549, 244, 44, 6, 4, 20, 13398, 110765, 92261, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 1, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 1, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 1, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 136148, 1041, 969, 4281, 742, 205, 238453, 227, 129, 71487, 100113, 312, 174788, 751, 40331, 87606, 8427, 115686, 113932, 99920, 20, 40010, 105, 8568, 21996, 105, 27910, 105, 35, 173614, 179608, 227, 100113, 312, 174788, 751, 9403, 417, 224053, 105, 1986, 87902, 26730, 105, 33567, 21967, 69765, 227, 49, 20755, 135, 106609, 827, 49, 180079, 2958, 35, 132661, 110779, 85977, 6, 4, 145273, 17330, 45440, 1521, 2097, 1813, 723, 7343, 49, 8865, 46414, 8441, 6, 4, 106064, 193182, 44, 97836, 44, 6, 5, 417, 69765, 1214, 132428, 989, 229710, 44, 55389, 49, 151526, 26318, 174001, 73869, 244, 6, 56162, 51452, 44, 226284, 126049, 1196, 184998, 407, 2660, 6, 4, 414, 49, 779, 245, 34959, 10586, 2699, 222676, 1813, 723, 2697, 72472, 7607, 21069, 84926, 44, 61, 222017, 87170, 105, 85977, 6, 4, 162655, 518, 153949, 1114, 131342, 1082, 175765, 44, 6, 5, 672, 50487, 312, 77, 66505, 32080, 7082, 1833, 136, 6661, 34798, 407, 69591, 163041, 547, 18178, 6, 4, 49, 33763, 529, 237907, 29, 44, 54939, 227, 44664, 1196, 174788, 2297, 44, 106064, 989, 6, 4, 414, 222676, 1813, 723, 2697, 214497, 72472, 183, 87170, 59, 44, 183, 11355, 58, 652, 107058, 44, 819, 57457, 7607, 21069, 84926, 44, 6, 5, 6, 189056, 5058, 128844, 12197, 2294, 90569, 151263, 58768, 4281, 9685, 79260, 78305, 129, 1080, 197, 29078, 66261, 87170, 59, 208710, 59, 65629, 4019, 59, 6, 4, 7176, 218219, 6, 4, 414, 222676, 1813, 723, 2697, 6, 4, 211663, 4768, 40010, 419, 142972, 6674, 8568, 6, 4, 44, 4387, 49, 6, 75874, 44, 135, 87170, 419, 6, 5, 4619, 70710, 2715, 2120, 126049, 197, 35, 49, 6, 228263, 7898, 18315, 103, 32080, 59, 75113, 6, 4, 49, 33763, 65629, 4019, 243211, 4354, 29, 42689, 6, 4, 47554, 3795, 2431, 6, 4, 129, 1739, 66689, 6, 4, 424, 166192, 49, 219403, 1214, 6, 5, 44, 1509, 72472, 174788, 227, 1120, 77416, 54939, 183, 119626, 695, 63946, 59, 6, 4, 84, 102894, 1120, 43155, 6, 4, 414, 236442, 40010, 142972, 6674, 231003, 6, 158568, 138417, 183, 87170, 59, 44, 6, 4, 20, 22263, 87646, 2294, 64393, 41976, 58768, 4281, 9685, 79260, 78305, 6, 5, 1813, 3920, 1266, 218219, 6, 4, 414, 6, 4, 129, 82191, 44664, 1196, 219403, 6, 4, 44, 192955, 37495, 20228, 184998, 529, 125326, 99502, 36597, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, 0, 1, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, 2, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 1, 0, 1, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100 ]	[ 0, 589, 496, 67165, 112378, 65796, 21246, 44, 57172, 12635, 63789, 44, 6, 4, 53841, 2192, 49, 120606, 80046, 29, 112477, 6871, 1996, 226, 6, 5, 36933, 2574, 6, 4, 14219, 202875, 53841, 1874, 29, 112477, 6871, 1996, 226, 21246, 227, 6, 4, 221731, 44653, 36098, 5145, 87575, 115217, 8804, 35, 9960, 70981, 6, 5, 417, 104650, 2172, 326, 158263, 79171, 20, 6, 105192, 6309, 6, 131760, 44, 21689, 66, 4922, 9343, 80433, 44, 180268, 89, 151829, 89, 141680, 1114, 21246, 559, 22002, 1006, 151448, 245, 77, 3526, 2303, 108409, 49, 8568, 35, 52429, 6, 4, 21214, 32511, 237336, 2233, 178399, 38850, 6, 4, 225775, 135557, 1006, 29, 107725, 6, 4, 225775, 143021, 1874, 35, 202999, 151187, 113006, 129, 61123, 20151, 21246, 559, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 1, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 1, -100, -100, -100, 0, 0, 0, 1, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 1, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 1, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]	[ 0, 2842, 158263, 13022, 145281, 79260, 40331, 87341, 736, 21990, 1086, 92103, 547, 135, 47659, 1768, 44, 6, 166807, 59, 44, 45060, 56246, 417, 245, 39110, 103, 63781, 19345, 176816, 1114, 187588, 145281, 79260, 61, 166955, 175030, 19512, 59, 6, 5, 1089, 6592, 75703, 6, 4, 414, 49, 68642, 227491, 69997, 219788, 407, 168237, 105289, 145703, 1857, 22937, 44, 1509, 20933, 20, 14574, 44, 6, 4, 407, 38952, 40153, 126506, 48895, 2519, 61, 6, 148023, 176020, 89, 6, 4, 407, 3981, 83784, 36406, 187588, 215178, 5902, 22239, 61, 236442, 19512, 6, 5, 40331, 87341, 736, 21990, 35, 45060, 130, 417, 245, 39110, 3407, 440, 24178, 121035, 89, 29, 98101, 1993, 65792, 210510, 101228, 1688, 17277, 105289, 49652, 59, 183, 1087, 650, 37725, 59, 255, 197516, 135, 45130, 52516, 591, 72026, 812, 58706, 118802, 184516, 559, 6, 5, 5187, 79015, 89, 193182, 44, 97836, 44, 49, 45130, 5902, 215732, 49205, 20917, 13117, 6, 4, 129, 209467, 179022, 6421, 13170, 89, 217356, 105975, 16833, 49, 779, 245, 34959, 6, 5, 180497, 5532, 127011, 105289, 49652, 59, 69695, 36788, 2151, 20, 159610, 3318, 440, 195199, 380, 201987, 61, 1739, 201927, 6, 4, 84, 7133, 47316, 84820, 103, 19724, 13702, 751, 6, 5, 11882, 105, 31877, 179022, 105289, 49652, 59, 3318, 6, 59576, 49, 3576, 8165, 6, 5, 901, 66689, 23241, 44494, 53979, 6, 83389, 34945, 44, 26487, 129997, 49205, 44, 97352, 51699, 57790, 6, 4, 49, 8778, 49, 47751, 32739, 64456, 1196, 6421, 2757, 983, 82012, 440, 153811, 145281, 3007, 2519, 160539, 207397, 66032, 49, 9439, 888, 10285, 97986, 59, 84926, 6, 5, 417, 83836, 65792, 210510, 1688, 17277, 119638, 49, 53094, 13449, 48833, 103, 5434, 2699, 174492, 173059, 175030, 19512, 59, 49, 208388, 29, 201, 4, 304, 97986, 59, 41223, 29412, 138199, 6, 5, 417, 77828, 3699, 103484, 44, 26487, 129997, 680, 1323, 44, 61, 236442, 19512, 60229, 54697, 97986, 559, 84926, 6, 4, 79015, 23241, 19776, 12016, 6, 5, 6, 95180, 4544, 145281, 79260, 49, 19512, 103, 201499, 106, 140447, 97986, 59, 41223, 29412, 138199, 49, 5532, 6, 5, 38834, 60407, 6, 4, 414, 49, 142571, 1551, 8165, 427, 4, 910, 97986, 59, 41223, 29412, 138199, 61862, 222, 44, 6, 166807, 44, 6, 4, 252, 201, 97986, 59, 20, 21313, 44, 804, 25029, 44, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100 ]	[ 0, 447, 93553, 6878, 48618, 21639, 185153, 36062, 197933, 1281, 151755, 164263, 35, 137136, 244, 58907, 6, 4, 53841, 1196, 49, 39466, 103, 6, 5, 8639, 8458, 9694, 1145, 21610, 46896, 7031, 20, 55732, 59288, 2958, 7774, 861, 2792, 169721, 23192, 183, 58907, 6, 4, 27304, 21397, 3997, 43801, 14122, 419, 637, 101112, 82112, 13385, 407, 58907, 7765, 89920, 244, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 71255, 811, 11355, 59, 6, 4, 3216, 61, 93220, 41557, 170851, 6, 17675, 15459, 142136, 66699, 23453, 72767, 827, 6, 4, 60229, 5138, 38608, 59, 183091, 559, 6, 12544, 99921, 559, 6, 5, 5187, 206582, 26929, 6, 4, 9953, 496, 9977, 164263, 58907, 7765, 64312, 178608, 6878, 135, 105447, 37228, 811, 156069, 123546, 130, 6, 5, 417, 71007, 6, 4, 197933, 227, 128089, 6878, 1086, 92432, 35, 8544, 127354, 7, 128783, 9802, 49, 131656, 6, 5, 829, 129, 1595, 928, 14722, 6, 4, 161760, 2946, 90569, 183, 27617, 50203, 135, 93661, 1281, 1086, 50917, 27224, 77791, 1874, 7792, 227, 165352, 104789, 6, 4, 8544, 128000, 49, 34638, 18143, 861, 44821, 49, 124574, 21069, 22775, 2297, 6, 5, 417, 32560, 9296, 21639, 185153, 28604, 4987, 61, 33067, 111380, 59719, 9868, 149250, 1768, 6, 5, 93461, 6, 4, 18510, 83051, 6, 4, 414, 1097, 209616, 6, 4, 129, 82191, 78210, 8809, 153340, 581, 131423, 6, 4, 51836, 22573, 804, 72359, 20, 36690, 45961, 35, 42229, 228983, 82131, 29989, 50028, 106405, 718, 50487, 312, 77, 66505, 20, 49, 690, 3699, 819, 49, 353, 557, 5, 1179, 529, 237907, 29, 9942, 20, 82418, 11085, 6, 10337, 60407, 729, 61263, 9571, 2699, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 1, -100, 0, 1, 2, 2, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 1, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 901, 13385, 417, 63450, 6, 4, 15124, 9, 7330, 47316, 80270, 83753, 62972, 7572, 6735, 206778, 551, 24840, 14810, 9, 201360, 90953, 59, 6, 4, 108949, 20, 27011, 1422, 27596, 118424, 62972, 7572, 27813, 6, 4, 49, 126345, 35, 232516, 59, 143425, 59, 6, 5, 1813, 143425, 103, 2732, 47188, 201020, 28068, 138, 97986, 59, 84926, 6, 5, 62972, 7572, 27813, 6, 4, 218420, 1670, 4132, 2225, 7613, 13117, 15502, 277, 6, 4, 49, 13713, 11, 58711, 49, 6304, 143131, 93068, 44494, 18293, 90531, 1114, 69882, 35, 47801, 82512, 112, 191, 6, 4, 198910, 1041, 222, 2325, 26328, 619, 42763, 1515, 35, 19020, 106828, 743, 1720, 121147, 134896, 6, 4, 49, 117553, 3699, 224864, 103231, 49, 83981, 103, 35, 162348, 20, 14100, 177427, 2687, 49, 113103, 204960, 17510, 14709, 29376, 5902, 24678, 22509, 227, 6, 5, 901, 87037, 130, 32080, 59, 125666, 6, 4, 80270, 83753, 62972, 7572, 6735, 34295, 3693, 861, 1085, 129, 196838, 29, 143425, 6, 4, 779, 183, 139324, 43460, 183, 24840, 206851, 44, 7032, 104491, 71199, 44, 6, 5, 417, 120023, 1080, 1097, 89476, 49, 779, 245, 34959, 13867, 6, 4, 4222, 21313, 15502, 277, 67470, 7031, 61, 36788, 2511, 19020, 125948, 89, 2519, 1720, 121147, 134896, 6, 5, 61398, 3007, 650, 62972, 7572, 6735, 210, 239869, 13394, 79166, 35, 15502, 277, 236189, 59, 19020, 125948, 4256, 61, 209, 97986, 559, 84926, 6, 5, 901, 22996, 130, 16443, 205, 35040, 6346, 2893, 28965, 650, 6, 4, 4851, 64843, 650, 62972, 7572, 6735, 129, 47253, 29, 143425, 6, 4, 2732, 18135, 3732, 29, 36329, 105, 106601, 24840, 90953, 59, 6, 5, 34257, 77, 22947, 6, 4, 89359, 13117, 15502, 277, 218219, 6, 4, 414, 49665, 197, 4968, 8778, 2192, 23054, 71199, 62972, 7572, 105, 5930, 20, 19870, 103, 1725, 10172, 6, 4, 77, 6, 60927, 73429, 29, 7843, 13117, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100 ]	[ 0, 672, 231488, 130, 169289, 53686, 4135, 38236, 4281, 59, 952, 67165, 7638, 61, 46235, 227, 141036, 29306, 135, 158958, 22645, 559, 49, 114333, 42420, 71141, 153558, 983, 5494, 53277, 6929, 35, 44, 216980, 5509, 66104, 2715, 44, 6, 5, 417, 24510, 4446, 5494, 53277, 6929, 138345, 1983, 6826, 135, 84, 66814, 2151, 220243, 130, 6, 4, 106064, 804, 72359, 20, 36690, 45961, 6, 5, 102701, 1041, 51009, 1086, 36929, 103, 6, 123967, 1993, 4910, 105, 1447, 559, 7898, 6, 4, 7176, 18135, 77, 96150, 104127, 4060, 147225, 2819, 29, 124387, 39065, 49, 2724, 227, 4446, 7774, 380, 25224, 7898, 170525, 103, 157380, 1993, 69242, 64640, 2819, 26034, 1521, 103, 174485, 103, 6, 4, 5138, 33907, 130, 969, 6, 30045, 168329, 5209, 1862, 4401, 2819, 536, 35711, 226, 2578, 3281, 59, 28536, 42515, 6, 4, 7176, 108718, 129, 114088, 1719, 30083, 56110, 1114, 589, 74594, 36217, 6, 5, 119123, 5561, 52619, 40331, 19821, 126622, 2697, 216793, 6, 4, 414, 44, 202345, 198858, 518, 67589, 49, 61, 46235, 1993, 5434, 176699, 29, 58858, 123330, 53686, 4135, 38236, 4281, 77, 18135, 44, 6, 5, 21199, 1266, 29, 41883, 547, 6, 4, 4768, 29, 1450, 957, 162412, 77, 66505, 53686, 4135, 38236, 4281, 109810, 13299, 55389, 77, 25077, 197, 69144, 6, 4, 252, 17442, 117596, 226284, 8808, 184998, 6, 4, 39331, 1196, 22645, 1281, 6, 5, 44, 589, 90053, 440, 2225, 34664, 92944, 42420, 29751, 718, 82191, 106843, 130, 2176, 61041, 211560, 103845, 1117, 1725, 87037, 99142, 29, 42803, 3821, 13385, 6, 4, 14925, 3150, 129, 130288, 183, 42420, 29751, 35, 110779, 44, 6, 4, 20, 13398, 41976, 5561, 52619, 6, 5, 804, 2696, 129, 173327, 10757, 86168, 241065, 989, 6, 4, 414, 22645, 227, 43450, 546, 17993, 7572, 3806, 1874, 87037, 6, 4, 690, 2431, 3150, 3505, 145732, 49, 51984, 6, 4, 216793, 1266, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, 0, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 1, -100, -100, 2, 0, -100, 0, 0, 1, -100, 2, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 1, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0 ]	[ 0, 804, 72359, 20, 36690, 45961, 106064, 424, 43812, 20, 6, 51896, 59, 6, 4, 414, 49, 53094, 476, 49, 1105, 22618, 49, 29513, 36144, 36517, 11153, 2172, 47054, 18315, 423, 29, 1729, 17831, 5902, 93053, 6, 4, 49, 110642, 56422, 8809, 16266, 205, 6, 4, 42393, 197, 29230, 173067, 6, 5, 1729, 52353, 12578, 1041, 56746, 90229, 546, 6, 5, 672, 59344, 56246, 35, 30281, 419, 141630, 1214, 145904, 49, 42365, 2958, 41460, 45799, 6, 5, 672, 34898, 173067, 59, 67601, 1219, 38519, 103, 61, 36968, 27183, 6, 5, 901, 66689, 82681, 6, 208150, 245, 131567, 6, 47871, 120617, 6, 51896, 59, 6, 4, 131567, 18229, 11360, 95495, 63091, 8441, 29611, 34785, 245, 51249, 24873, 6, 4, 44, 57707, 3146, 130347, 173067, 59, 20, 14553, 546, 4132, 3280, 6, 4, 84, 101267, 5509, 206136, 2715, 73955, 35, 68023, 45540, 4968, 10698, 415, 44, 6, 5, 86230, 51249, 15176, 61319, 3844, 6, 4, 414, 51571, 245, 74418, 6, 4, 129, 49372, 16826, 1595, 11981, 6, 4, 94347, 197, 33591, 6, 4, 40553, 29, 14104, 130, 141630, 103, 6, 4, 4851, 42393, 197, 29230, 652, 1316, 54662, 6, 4, 169521, 222, 49, 66716, 173387, 227, 6, 5, 672, 29153, 29595, 123517, 75398, 1269, 114, 40535, 130, 1082, 141630, 59, 135, 93075, 197, 173067, 5509, 83835, 99940, 18372, 201, 20, 190, 119798, 21958, 21607, 640, 551, 6, 4, 20, 1086, 3920, 79015, 73909, 2549, 179881, 210275, 63091, 8441, 40331, 66307, 12761, 17999, 6, 5, 901, 1739, 41839, 1258, 6, 4, 21259, 19776, 45799, 42393, 197, 29230, 183, 87462, 6, 4, 414, 49, 65400, 10582, 67201, 103, 111795, 10041, 12826, 6, 89565, 15782, 135, 96343, 419, 6, 5, 5187, 1595, 17896, 173067, 5509, 215556, 138345, 49, 969, 110506, 103, 6, 4, 11004, 184200, 6, 5, 5187, 255, 48034, 547, 185537, 57231, 219873, 1857, 56869, 29611, 6, 4, 32177, 407, 173067, 103, 184675, 29, 13572, 2716, 222, 206655, 1270, 49, 53094, 476, 49, 1105, 14369, 2681, 23255, 6, 5, 112908, 5785, 305, 23255, 45799, 1874, 29, 16909, 227, 7638, 29, 34898, 6, 5, 543, 46916, 3317, 698, 424, 64110, 67201, 14104, 695, 141630, 59, 7638, 223578, 170404, 440, 40687, 5347, 526, 37725, 1196, 45799, 1196, 29153, 29595, 1976, 6, 5, 67353, 11709, 14157, 59, 45799, 4387, 1219, 27943, 81646, 6, 5, 1729, 52353, 90229, 28535, 20, 129, 37675, 5145, 90953, 89, 58083, 24898, 698, 20, 29846, 6878, 35059, 2509, 4401, 255, 440, 30732, 1114, 45799, 1196, 6, 4, 135, 38080, 19951, 29, 52061, 813, 12318, 6, 4, 35, 28055, 77672, 6, 5, 28421, 58706, 811, 40405, 546, 201, 135712, 6, 5, 417, 1882, 93804, 89, 45799, 59, 202851, 89, 19149, 1039, 58768, 207622, 227, 6, 5, 86230, 51249, 15176, 79015, 5058, 6, 4, 414, 22589, 424, 6, 63494, 983, 6, 4, 78467, 2233, 135, 84820, 130, 129, 928, 72192, 130, 29, 66565, 59, 23506, 424, 7061, 2757, 65310, 7765, 52494, 6, 4, 33309, 216041, 2262, 5347, 10698, 1857, 70581, 5719, 87225, 6, 4, 77, 22474, 33002, 1752, 7031, 6, 5, 901, 1739, 66689, 6, 4, 49, 23506, 424, 67201, 5434, 9037, 9122, 22573, 80502, 182885, 66565 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 1, -100, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, -100, 2, 2, -100, -100, -100, -100, 2, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, -100, 2, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, 0, 0, -100, 0, 0, 1, 2, 0, 1, -100, -100, 0, 1, -100, 2, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 1, -100, 0, 1, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100 ]	[ 0, 49108, 54976, 147000, 240531, 1741, 88765, 56917, 559, 928, 21259, 35, 18102, 135, 66072, 1741, 27042, 33098, 144554, 312, 197516, 5842, 18449, 28196, 312, 35, 1721, 1521, 5573, 419, 35, 17993, 59576, 1114, 90089, 5930, 13617, 18036, 28832, 983, 3577, 32822, 2697, 49, 1721, 1521, 5573, 29, 1537, 512, 52926, 7898, 6, 4, 8639, 92985, 46340, 10788, 7898, 35, 1382, 4135, 32892, 7898, 93087, 244, 6, 5, 96961, 72365, 43903, 32369, 174788, 227, 1120, 24192, 20, 174478, 5145, 88243, 129, 811, 178035, 35, 206136, 4256, 42157, 127796, 1196, 11968, 190695, 559, 6, 5, 5188, 3920, 193182, 44, 97836, 44, 49, 1450, 49361, 83521, 242697, 79015, 89, 49, 79171, 20, 120606, 195817, 8568, 6, 5, 901, 82191, 79171, 20, 44970, 6, 4, 29, 33317, 38284, 3670, 20, 8639, 92985, 46340, 10788, 7898, 149220, 22793, 3873, 4019, 1114, 29, 336, 20601, 84, 21195, 129, 174788, 88765, 7061, 3577, 32822, 2697, 6, 4, 49672, 162412, 174788, 928, 969, 13539, 559, 35, 34710, 197530, 236921, 21259, 6, 5, 417, 5892, 2562, 5902, 151589, 211398, 827, 417, 45569, 20406, 1315, 99059, 6, 4, 6, 88872, 16693, 35, 135, 8778, 1874, 183, 16909, 227, 63091, 8441, 144151, 89, 96012, 20, 2724, 227, 10849, 1874, 88243, 35, 66129, 61453, 100910, 22959, 129, 61, 45571, 1269, 65633, 1196, 165108, 19701, 44624, 89, 35, 16726, 17355, 44624, 89, 6, 4, 252, 5058, 440, 1200, 680, 17330, 718, 15844, 29153, 1196, 54058, 6033, 559, 35, 13901, 1196, 68439, 559, 6, 5, 417, 20755, 135, 119102, 58711, 182219, 407, 33103, 245, 131943, 182119, 1114, 244, 35, 92594, 8441, 3577, 32822, 2697, 49, 440, 39113, 89, 31148, 161057, 18449, 19910, 6, 4, 111739, 80305, 129, 440, 27042, 640, 743, 144554, 312, 197516, 529, 79664, 512, 61602, 227, 29, 1382, 4135, 32892, 7898, 35, 191368, 46340, 10788, 7898, 93087, 244, 6, 4, 135, 49623, 28832, 197, 150927, 52353, 129, 53222, 85747, 82112, 35, 22793, 3873, 36481, 2519, 29, 109620, 1343, 1196, 38505, 1214, 811, 141642, 1114, 142797, 21758, 28832, 983, 6, 5, 3499, 71066, 227, 54982, 74386, 129, 11735, 6, 4, 77791, 227, 6, 4, 61, 155968, 6, 5, 57207, 1281, 46969, 1196, 160227, 41690, 108397, 227, 1450, 28422, 55641, 35, 46969, 1874, 61, 222289, 6, 5, 901, 39113, 89, 77892, 73182, 227, 236443, 695, 103380, 44, 210787, 6341, 551, 44, 235596, 158369, 68611, 957, 51936, 197516, 16753, 16286, 135, 83185, 89, 2519, 35, 190108, 5902, 5560, 89067, 19502, 7613, 49, 127335, 84, 56695, 1857, 240465, 1768, 56869, 424, 90898, 94454, 312, 197530, 6, 4, 79015, 89, 49, 165835, 20, 120606, 6, 5, 5074, 2262, 512, 59667, 52217, 591, 54662, 59, 3577, 32822, 2697, 529, 22239, 18449, 19910, 29, 5561, 6735, 6714, 7898, 35, 1537, 512, 52926, 7898, 93087, 244, 174001, 240465, 2958, 99059, 1080, 3806, 126674, 240465, 5145, 129, 11735, 6, 5, 1435, 8113, 1560, 8568, 120549, 135, 28276, 6467, 82720, 208350, 12747, 84611, 4684, 58482, 129, 161844, 197, 1794, 11446, 6194, 26876, 49700, 197, 225697, 4256, 232501, 57803, 38850, 1721, 1521, 5573, 59, 6, 5, 5188, 101253, 19036, 5124, 16641, 25455, 60229, 41722, 418, 9561, 6, 5, 5074, 210507, 201729, 127796, 1270 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 1, -100, 2, 2, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 1, -100, 2, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 1, -100, 2, 2, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100 ]	[ 0, 4356, 63354, 7931, 650, 20, 19821, 680, 2257, 4560, 66446, 698, 48693, 17831, 52053, 59, 66673, 9159, 547, 6304, 49, 56126, 2151, 49, 129, 30271, 1269, 129, 928, 79913, 29, 18528, 50406, 220936, 59, 6, 4, 105062, 1266, 113932, 129, 34144, 226, 1400, 1125, 132749, 111034, 105, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 184871, 59, 45096, 59, 184340, 59, 1089, 25, 82131, 336, 547, 551, 6, 4, 52053, 59, 66673, 4387, 92228, 55745, 49, 25671, 103, 5434, 2699, 49, 101690, 3738, 2574, 6, 4, 819, 49, 64230, 103, 49, 207173, 419, 21310, 53839, 64412, 49, 27285, 115838, 77, 56505, 3997, 129, 30289, 415, 6, 5, 12786, 4987, 22043, 59719, 44, 447, 51533, 245, 1719, 6, 72480, 56270, 15997, 6546, 105, 220936, 105, 6, 4, 48463, 198056, 51533, 26464, 6, 72797, 7324, 44, 6, 5, 901, 35734, 55447, 46627, 26487, 4018, 12164, 6, 5, 36933, 2574, 6, 4, 49, 25671, 103, 52053, 59, 66673, 113932, 4768, 3693, 132545, 328, 15479, 1196, 27153, 2097, 20, 11284, 12068, 108912, 238751, 7246, 105, 85524, 105, 75797, 3281, 35, 173158, 105, 164299, 1537, 743, 5866, 129, 61164, 2511, 122560, 6467, 240505, 827, 6, 4, 94946, 151349, 120246, 827, 35, 151386, 130, 6, 5, 8159, 78679, 518, 238751, 28604, 49, 27285, 115838, 49, 34992, 13701, 34144, 1584, 49, 1721, 547, 11864, 103, 6, 5, 417, 7365, 4798, 174192, 89, 35, 205644, 70576, 652, 45939, 546, 29, 34144, 226, 49, 7931, 650, 20, 19821, 680, 2687, 6, 5, 190449, 424, 6826, 183, 173067, 559, 77, 239525, 6, 4, 37579, 198015, 52667, 73044, 128554, 35, 1719, 8875, 11312, 207173, 1768, 56869, 6, 5, 1813, 1086, 227, 4446, 49, 171298, 12561, 24339, 6, 4, 4851, 591, 40273, 547, 52053, 59, 66673, 6, 4, 7638, 187110, 227, 9953, 190, 119798, 21958, 69950, 1862, 6, 4, 1086, 39530, 751, 6716, 95495, 62324, 227, 35, 173067, 59, 15137, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 1, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 1, -100, 2, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, -100, -100 ]	[ 0, 85384, 650, 20, 34078, 1041, 50406, 8568, 154888, 4910, 136458, 303, 407, 7044, 3806, 476, 103353, 89, 407, 214497, 1070, 16909, 105, 64257, 255, 103737, 312, 183, 9087, 1269, 62640, 59, 2578, 118036, 8489, 6, 5, 85384, 650, 20, 34078, 1041, 84014, 6, 4, 414, 103353, 89, 407, 255, 103737, 312, 183, 9087, 1269, 62640, 59, 2578, 118036, 8489, 20, 1097, 27965, 187184, 129, 47722, 53756, 11519, 72181, 2033, 49, 23085, 1080, 3806, 957, 185987, 2262, 5347, 10698, 1857, 170789, 6, 5, 154888, 4910, 136458, 303, 5058, 407, 7044, 3806, 476, 103353, 89, 407, 23334, 312, 183, 9087, 1269, 21996, 59, 164571, 135, 42407, 99920, 20, 124698, 35, 1739, 61, 38088, 29, 147251, 59, 232765, 1082, 23600, 89837, 16308, 32155, 245, 6, 5, 2578, 2716, 52442, 84014, 6, 4, 414, 27910, 20, 21259, 19776, 99920, 135, 129898, 419, 2151, 43346, 419, 6, 4, 35, 1266, 9765, 185586, 1730, 44, 6, 4, 20, 13398, 79171, 20, 34078, 1041, 151263, 51452, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 154888, 4910, 136458, 303, 5058, 228582, 6, 4, 414, 49, 83836, 216019, 695, 90898, 49, 8568, 77, 6314, 60407, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 1, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 1, 1, -100, 2, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 1, -100, -100, 2, 1, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 417, 1450, 49361, 83521, 242697, 66032, 49, 80363, 49, 52429, 49, 12578, 419, 47054, 18315, 190, 6, 4, 66102, 138, 129, 93053, 67421, 3997, 72904, 751, 28496, 9694, 42393, 197, 29230, 21259, 19776, 173067, 6, 5, 901, 2262, 30102, 70209, 82191, 6, 4, 166172, 173067, 59, 25254, 139230, 4018, 23863, 17675, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 529, 237907, 29, 206655, 1270, 125522, 59, 447, 120617, 6, 191210, 1082, 103380, 80046, 6, 4, 23863, 17675, 49, 27285, 105054, 49, 67201, 103, 18315, 7221, 29, 167053, 141630, 103, 102375, 36517, 11153, 1270, 9037, 6, 5, 5187, 79015, 59, 21220, 5573, 8007, 44, 76031, 197, 80046, 44, 6, 4, 49, 41841, 173067, 59, 206857, 3693, 14722, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 1, -100, 2, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]	[ 0, 447, 157929, 60769, 49379, 1768, 75579, 59, 1382, 23581, 2257, 222539, 44967, 236077, 103, 49, 1450, 49361, 83521, 242697, 25077, 227, 151263, 91791, 44230, 5902, 8148, 6, 5, 901, 24744, 30102, 70209, 82191, 1089, 67418, 38236, 4281, 59, 6, 4, 1266, 29, 78548, 212669, 26134, 67492, 559, 42420, 29751, 35, 55034, 3873, 165952, 147251, 59, 6, 5, 51249, 125802, 1857, 50084, 20, 27136, 20, 200093, 2660, 8809, 31303, 29548, 35003, 1323, 78785, 130503, 695, 190636, 6, 4, 33567, 141647, 312, 34879, 8635, 1709, 10907, 198447, 5506, 3407, 72472, 155171, 66032, 729, 1745, 173269, 6, 5, 167608, 1009, 114, 25805, 14273, 1196, 208420, 49, 68642, 230090, 54982, 15137, 1688, 135, 3821, 1688, 135, 22718, 22239, 77, 87363, 89, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 1, 2, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100 ]	[ 0, 69242, 64393, 99920, 20, 40010, 8568, 87543, 204894, 59, 26023, 59523, 1730, 6, 4, 414, 44, 440, 25791, 3699, 44, 160253, 29, 62095, 13962, 407, 210513, 187819, 89, 18449, 14998, 5902, 141272, 103, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 82417, 245, 49, 1450, 49361, 83521, 242697, 29, 52981, 14171, 114, 40535, 130, 1082, 5341, 114488, 215945, 44, 1509, 76591, 197, 44, 6, 4, 204894, 59, 26023, 214461, 6, 4, 414, 55389, 62095, 11053, 77, 2530, 25514, 126766, 18449, 14998, 5902, 141272, 89, 6, 4, 779, 35, 25514, 11284, 975, 1794, 155777, 6, 4, 7193, 4387, 148577, 43917, 27731, 212631, 18449, 19910, 49, 41841, 3577, 103, 29532, 71302, 35, 146617, 49, 77828, 3699, 49, 9977, 41796, 244, 8568, 6, 5, 901, 85093, 204894, 59, 93710, 6, 4, 2262, 650, 68020, 90773, 62095, 59, 77, 73976, 380, 20, 44, 39689, 811, 30343, 77, 221144, 44, 6, 5, 21199, 6, 4, 129, 1739, 85093, 6, 4, 3738, 50671, 21324, 62095, 59, 44, 20850, 236921, 18731, 2519, 14219, 6, 71008, 40841, 312, 22718, 129096, 312, 21699, 44, 6, 5, 5187, 84014, 87543, 204894, 59, 26023, 6, 4, 92358, 49, 1721, 1521, 89504, 117616, 6, 4, 414, 15115, 109234, 11053, 99502, 39049, 13237, 21259, 28008, 126506, 6, 5, 1813, 3920, 6, 4, 59523, 1730, 1266, 6, 4, 67298, 20, 77, 2530, 407, 68020, 18178, 61453, 155171, 85645, 21465, 3735, 53711, 35, 12672, 1258, 1725, 54575, 6, 4, 252, 150738, 103, 1741, 9107, 212, 59585, 158234, 6, 5, 44, 237285, 2176, 23294, 591, 130525, 92890, 77, 2530, 211562, 1258, 6, 4, 969, 54662, 59, 43705, 28081, 9037, 6, 4, 779, 35, 21388, 6, 4, 7193, 6, 81858, 1730, 4988, 1611, 44, 6, 4, 20, 13398, 1266, 6, 5, 6, 132250, 245, 407, 12469, 12318, 84, 31397, 36062, 33111, 6, 4, 204894, 59, 26023, 111529, 118070, 55735, 15582, 1857, 41322, 95185, 20, 6, 131415, 23214, 1721, 1521, 5573, 59, 6, 5, 4531, 214461, 6, 4, 414, 49, 40238, 6, 4, 4222, 2510, 1745, 126766, 58263, 1721, 1521, 5573, 77, 16231, 92969, 7878, 56279, 6, 4, 44, 77, 203506, 6, 4, 414, 23248, 92088, 19036, 172729, 6826, 170860, 49, 559, 117470, 227, 49, 1145, 116416, 5145, 49, 1214, 165508, 7246, 21967, 183, 16909, 227, 6, 4, 29, 26512, 15126, 76762, 124328, 184104, 94768, 89, 42157, 1281, 44, 6, 5, 204894, 59, 26023, 84014, 127172, 130, 11125, 6737, 5930, 3410, 111712, 135, 18449, 14998, 5902, 141272, 1768, 6, 4, 49, 2660, 20068, 135, 4641, 128590, 226, 31224, 536, 20601, 2172, 35040, 51367, 55994, 6, 5, 1813, 3920, 6, 4, 819, 59523, 1730, 27136, 20, 99920, 6, 4, 27714, 1739, 11053, 44, 49, 80018, 7613, 6, 4, 6, 29524, 67588, 57570, 312, 53224, 44, 6, 4, 135, 6010, 6, 4, 3077, 28068, 183, 75566, 695, 204353, 141272, 89, 233488, 2431, 591, 89, 72499, 124234, 128297, 6, 4, 252, 5058, 160253, 13962, 407, 21515, 1794, 1714, 13539, 26730, 6, 5, 5187, 214461, 87543, 204894, 59, 26023, 6, 4, 23294, 44, 11053, 80816, 17442, 12206, 6, 4, 414, 7776, 92985, 46340, 10788, 21967, 185857, 440, 26813, 49, 6, 60797 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 1, -100, 2, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]	[ 0, 901, 2262, 30102, 70209, 82191, 1089, 67418, 38236, 4281, 59, 49, 1450, 49361, 83521, 242697, 6, 4, 49, 173269, 59, 13701, 29, 105412, 244, 147251, 59, 192318, 5902, 8148, 109810, 197, 19149, 5606, 4, 8894, 1745, 150073, 29015, 42420, 29751, 6, 4, 20, 106064, 193182, 44, 97836, 44, 6, 5, 3743, 53287, 2151, 49, 94447, 8526, 103, 3318, 114628, 989, 214463, 29, 147251, 12635, 16122, 6, 4, 61, 29725, 3318, 183, 677, 380, 29, 89, 56505, 41747, 6, 4, 129, 142317, 718, 24242, 106843, 130, 6, 4, 45403, 173269, 42420, 29751, 6, 4, 779, 440, 32277, 89, 6, 4, 414, 1725, 3318, 77, 22947, 714, 1745, 183, 63103, 42420, 29751, 6, 4, 440, 1951, 63671, 19149, 49, 173269, 59, 13701, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 718, 6, 128367, 79574, 49, 229110, 49, 16308, 380, 67418, 38236, 4281, 184675, 89, 49704, 424, 8808, 1702, 228321, 244, 42420, 71141, 92267, 983, 6, 4, 1086, 99087, 380, 3216, 5138, 2248, 1745, 6, 111346, 547, 67409, 10582, 6, 5, 417, 20960, 135, 28335, 6, 4, 129, 2262, 30102, 70209, 82191, 6, 4, 61, 185248, 245, 26034, 82907, 7343, 183, 677, 380, 496, 4, 9185, 1745, 173269, 6, 4, 414, 77, 13524, 39648, 1730, 1739, 49379, 227, 29, 105412, 244, 3216, 49, 94447, 8526, 103, 6, 5, 190449, 424, 81756, 1196, 49, 55677, 518, 230090, 611, 22645, 559, 54344, 26034, 82907, 7343, 10633, 35458, 49, 714, 1745, 173269, 77, 1741, 29230, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]	[ 0, 901, 82191, 804, 72359, 20, 36690, 45961, 6, 4, 3146, 14722, 90229, 546, 49, 41841, 149585, 173067, 559, 49, 51535, 1993, 131342, 2958, 144981, 6891, 29524, 8809, 233290, 695, 116221, 59, 6, 5, 77002, 424, 5308, 6, 4, 21302, 77127, 1270, 89248, 38306, 126504, 1270, 49, 15115, 417, 95953, 59, 6, 4, 6, 3670, 58883, 6527, 23294, 185183, 49, 141647, 130, 104420, 30943, 1200, 6, 4, 36182, 7638, 255, 71066, 227, 232501, 2715, 49, 41841, 173067, 59, 49, 51535, 1993, 131342, 2958, 144981, 153408, 6, 5, 7762, 21607, 103, 103234, 21259, 29306, 407, 38755, 3281, 35, 6, 3670, 58883, 6878, 49, 41841, 118120, 30953, 140552, 35, 84, 35141, 17471, 6, 5, 98965, 61, 178035, 18731, 2519, 6, 4, 223528, 34180, 7031, 49, 51535, 1993, 6, 4, 33309, 208473, 8095, 1281, 75586, 242868, 29751, 2819, 440, 3920, 84, 226, 8533, 233575, 1196, 113115, 6, 4, 3837, 71111, 32369, 107004, 6, 4, 77, 89476, 6, 5, 58127, 93910, 35, 33846, 3433, 13390, 60303, 8808, 147633, 5434, 216019, 695, 591, 9685, 1625, 57878, 6, 4, 129, 85093, 46107, 695, 158549, 51535, 1993, 6, 4, 166172, 114, 827, 637, 207697, 31104, 3738, 69171, 63671, 10357, 61, 43892, 173067, 559, 18637, 13524, 9921, 183, 224940, 227, 6, 4, 34526, 23158, 41892, 137282, 70976, 20066, 113447, 49, 64716, 103, 252, 5235, 827, 6103, 76929, 13572, 80802, 6, 5, 3858, 173067, 59, 16846, 1080, 79734, 59, 22589, 424, 6, 40131, 51535, 1993, 6, 4, 186729, 174047, 103234, 196831, 1114, 141914, 312, 11849, 3516, 2509, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 1, -100, -100, 2, -100, 1, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 1, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, 2, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100 ]	[ 0, 5187, 79015, 197, 193182, 44, 97836, 44, 6, 4, 49, 229110, 185183, 6962, 28008, 183, 16909, 227, 164263, 99059, 811, 36792, 35669, 49, 211629, 6, 191210, 1082, 50195, 23407, 1729, 3107, 6, 5, 68406, 183, 16909, 227, 13995, 138273, 13953, 196451, 1741, 22603, 1707, 132231, 54058, 227, 105539, 8830, 41228, 244, 99059, 29, 212631, 6, 191210, 1082, 50195, 23407, 6, 5, 2429, 12919, 85645, 20, 187706, 62705, 559, 44, 41287, 928, 18965, 44, 159357, 546, 49, 1729, 3107, 12826, 6, 48531, 2697, 123093, 6, 4, 151386, 6, 4, 160312, 227, 6, 4, 1450, 1006, 6, 4, 210342, 5145, 183007, 227, 6, 5, 29793, 677, 1584, 99687, 969, 36788, 148586, 6, 4, 212631, 93096, 73774, 144854, 168151, 227, 35, 19849, 5902, 61321, 1729, 3107, 6, 4, 36182, 326, 52981, 190481, 10262, 13995, 6, 18655, 640, 35, 88991, 1080, 49371, 928, 129320, 695, 127796, 1114, 85645, 20, 141285, 103, 51410, 546, 164263, 21259, 6, 5, 1382, 25350, 105, 49, 6, 191210, 419, 50195, 55809, 3318, 23793, 59, 106338, 9953, 46486, 123093, 35, 125970, 59, 3577, 103, 19626, 32663, 20, 489, 21665, 6, 4, 9309, 328, 7330, 227, 6, 4, 52646, 336, 145703, 63892, 6, 5, 229639, 4354, 6, 4, 414, 105539, 8830, 1794, 9694, 61439, 83280, 546, 13287, 12826, 51682, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, -100, 2, 2, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100 ]	[ 0, 10032, 8688, 229408, 1041, 7765, 2849, 19108, 4485, 2697, 6, 4, 156539, 129000, 20942, 197, 86079, 88991, 77873, 20151, 4988, 1080, 182827, 1714, 13539, 4544, 49, 24130, 197, 20, 1757, 20, 31768, 2519, 5866, 6, 4, 3738, 2574, 6, 4, 819, 969, 3806, 476, 989, 21572, 66261, 127796, 1196, 211562, 559, 6, 4, 6, 7474, 6168, 63671, 84, 2790, 44626, 10758, 2192, 46665, 153415, 2192, 44, 53943, 2687, 44939, 44, 6, 5, 37001, 650, 1488, 86079, 211560, 92389, 1041, 24499, 78573, 21903, 12276, 22959, 29873, 59, 6, 4, 3077, 9765, 194266, 546, 811, 30343, 29, 37655, 49, 9778, 1269, 135, 171715, 1281, 129, 110293, 152163, 6, 144718, 4256, 29, 47198, 244, 29611, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 49, 132653, 135, 1450, 957, 162412, 54441, 80804, 29, 238581, 21607, 103, 57907, 18359, 1196, 1741, 27042, 546, 14879, 24863, 1768, 143702, 35853, 743, 129000, 20942, 197, 6, 5, 44, 6, 158694, 743, 24038, 6, 4, 414, 214209, 18884, 44, 6, 4, 20, 1145, 591, 4281, 15114, 53871, 106778, 1203, 591, 9685, 1625, 526, 83521, 135, 15844, 49, 90458, 3146, 149890, 48312, 6, 5, 84241, 1752, 1584, 126614, 546, 29, 89785, 43155, 229408, 1041, 5902, 61066, 1857, 224911, 227, 35, 232516, 89, 57317, 89, 183, 94395, 6, 4, 60921, 35, 18081, 69088, 11923, 6, 5, 77002, 424, 211562, 559, 6, 4, 84, 62030, 49, 70048, 156539, 59, 6, 4, 34526, 30045, 141941, 44, 5758, 6, 4, 69, 1097, 129000, 20942, 197, 6, 5, 176429, 89, 73843, 6, 4, 4400, 110479, 2530, 148662, 76424, 44, 6, 5, 44, 180497, 1080, 49, 10094, 4042, 440, 184019, 89, 224911, 718, 1045, 7888, 6, 5, 150236, 4768, 6, 4, 414, 2792, 102069, 6878, 6, 7474, 53287, 2151, 35853, 1551, 44, 6, 4, 20, 83694, 129000, 20942, 197, 235001, 1258, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 1, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100 ]	[ 0, 75315, 17575, 223107, 1258, 35231, 71066, 197, 4768, 4572, 31482, 518, 112562, 1114, 6, 30462, 3107, 2457, 36406, 1145, 116416, 1768, 44, 6871, 827, 89, 165323, 1114, 48844, 44, 15, 536, 34455, 1388, 6, 5, 5188, 3920, 79015, 49, 229110, 185183, 132782, 31877, 234577, 89, 105539, 8830, 41228, 827, 174001, 137136, 312, 23241, 231056, 168641, 6546, 6, 5, 672, 1741, 14628, 1214, 255, 74342, 16266, 1145, 35, 77, 2120, 207311, 197, 187969, 407, 120496, 101228, 145797, 312, 13842, 55732, 536, 34455, 6, 5, 34257, 77, 22947, 231056, 168641, 6546, 35, 185537, 145797, 312, 103499, 1993, 78305, 49, 48844, 23137, 21278, 10032, 736, 14307, 97062, 6, 4, 414, 1080, 32050, 59650, 536, 34455, 35253, 112562, 197, 6, 5, 1382, 6, 174617, 144727, 29, 10277, 227, 135, 677, 380, 5138, 209, 21069, 114200, 40015, 1270, 175765, 6, 5, 901, 13385, 193182, 44, 97836, 44, 6, 4, 29, 1741, 14628, 1214, 31131, 407, 7878, 118052, 6527, 13962, 407, 142350, 175765, 518, 19870, 695, 163529, 44, 179849, 1082, 179563, 44, 6, 5, 32552, 197, 8830, 41228, 103, 66855, 59523, 4684, 6, 4, 414, 23248, 1781, 114200, 6, 4, 536, 34455, 96987, 134190, 7329, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 1, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, 2, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 1, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 1, -100, -100, 0, -100, 0, 0, 0, 0, 1, -100, -100 ]	[ 0, 21996, 27910, 55800, 49, 242697, 92088, 151976, 7762, 130045, 312, 51936, 18293, 33611, 197, 106828, 89, 6, 5, 68406, 223829, 227, 1266, 3433, 24940, 86222, 819, 44, 129, 30271, 928, 39928, 56102, 1117, 5328, 35, 18029, 59828, 27224, 6, 145527, 103, 89359, 30296, 44, 6, 5, 27910, 61, 3806, 3873, 6, 4, 414, 44, 91935, 227, 20228, 223829, 559, 14219, 206136, 227, 193547, 44, 6, 4, 779, 39595, 168180, 49, 186274, 135, 188205, 419, 1266, 84014, 230030, 677, 22959, 49962, 152, 44, 7796, 77, 2530, 8679, 1551, 3732, 6, 4, 779, 35, 64494, 227, 24136, 3410, 129, 105280, 71487, 6, 4, 153, 779, 2176, 77, 8679, 1551, 2868, 77, 1086, 9430, 24214, 13418, 93096, 200171, 58482, 152, 70803, 23070, 22776, 183, 222164, 59, 35, 225029, 186184, 4544, 70172, 51452, 6, 5, 7796, 41075, 1097, 135, 55351, 1551, 6, 4, 2696, 61041, 32529, 44, 6, 5, 3858, 2743, 65915, 29, 34819, 407, 7776, 92985, 46340, 10788, 7765, 185857, 244, 6, 4, 21996, 27910, 83694, 6, 4, 414, 44, 1145, 116416, 4018, 7776, 92985, 743, 8807, 115686, 9253, 222, 4387, 122318, 49, 40238, 146148, 59, 191103, 22714, 49, 18449, 28196, 44, 6, 4, 35, 44, 135, 117306, 312, 24819, 60128, 20, 1097, 183146, 103, 77, 187969, 6, 4, 1145, 819, 2120, 122318, 197, 46665, 212941, 698, 117306, 695, 200547, 55641, 8568, 44, 6, 5, 21996, 27910, 84014, 9661, 13053, 77, 5138, 6, 4, 4703, 44, 164859, 6467, 123090, 1281, 20803, 45086, 44, 20, 135, 23506, 22239, 164299, 44970, 6, 4, 252, 135, 22718, 18449, 14998, 5902, 141272, 89, 6, 5, 4531, 9159, 547, 6, 4, 414, 34133, 6, 4, 7193, 54486, 140123, 9661, 13053, 6, 4, 6, 66406, 31597, 42034, 157841, 1117, 203981, 6, 4, 150492, 160539, 52218, 6, 5, 1851, 34820, 108766, 59, 6, 4, 414, 44265, 233079, 13953, 234577, 31084, 419, 49, 186274, 135, 188205, 419, 6, 5, 829, 122318, 39242, 7776, 92985, 46340, 10788, 7765, 529, 15487, 1625, 1394, 141036, 29306, 147000, 1203, 184374, 89, 35, 84, 27465, 6, 4, 111529, 1266, 6, 4, 252, 49, 18449, 28196, 6, 4, 40473, 44, 39749, 77, 9159, 551, 1757, 20, 6, 743, 3429, 128906, 3455, 108201, 130, 6, 4, 124606, 7638, 123219, 222, 170404, 1203, 76122, 12747, 16753, 16286, 44, 6, 5, 417, 18449, 28196, 6, 4, 111529, 21996, 27910, 6, 4, 12504, 2984, 27714, 226232, 2530, 135, 13022, 419, 536, 20601, 2172, 35040, 51367, 55994, 6, 4, 40553, 1739, 138147, 1219, 97216, 18449, 14998, 5902, 141272, 89, 6, 5, 21996, 27910, 83694, 6, 4, 414, 9765, 33907, 407, 6314, 1214, 44, 59119, 3981, 3907, 121210, 33325, 559, 20783, 59, 168199, 7765, 22480, 44, 30236, 18449, 1068, 7324, 49, 22326, 26124, 84, 6417, 2033, 105855, 36110, 226, 861, 1857, 183185, 518, 2574, 6, 4, 3077, 126094, 13237, 80297, 53058, 48837, 58482, 29, 30724, 49372, 8568, 6, 4, 82966, 2716, 24896, 652, 252, 124333, 93001, 2192, 43346, 18449, 19910, 6, 5, 63842, 49, 175039, 79171, 103, 6, 81998, 6, 4, 13398, 1266, 6, 4, 414, 49328, 3981, 3907, 151187, 33325, 89, 2842, 7572, 415, 198497, 13287, 88210, 121250, 108201, 183, 61045, 1078, 1114 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 1, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 1, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 1, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 1, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0 ]	[ 0, 129196, 20029, 8552, 303, 7931, 2582, 6, 4, 44, 5842, 50917, 2192, 184104, 18315, 5641, 44, 6, 4, 11961, 198514, 61, 90984, 59650, 130, 1714, 13539, 1196, 127796, 1196, 142797, 49, 1721, 1521, 5573, 6, 4, 67759, 547, 129, 928, 72192, 29, 50406, 14560, 42669, 551, 220936, 59, 6, 5, 4619, 142865, 59, 13553, 2233, 12185, 6346, 15919, 21452, 49, 30984, 526, 52516, 23294, 49, 39466, 103, 176375, 33907, 695, 16868, 205, 94738, 27847, 59, 84313, 1455, 212, 24130, 1120, 44, 87430, 103, 6, 144321, 31811, 44, 6, 5, 136429, 29, 179111, 29, 42803, 112270, 695, 13053, 34664, 187432, 59, 6, 4, 78536, 41557, 24130, 95985, 326, 3699, 26231, 559, 135, 141442, 1281, 2632, 2557, 7931, 83420, 6, 4, 223372, 89, 35, 183, 9087, 6467, 176807, 827, 4560, 58382, 14560, 35, 109349, 1196, 77791, 1196, 6, 56162, 6, 5, 220711, 234665, 244, 36129, 27847, 19870, 165102, 19971, 183, 2294, 90569, 99920, 20, 124698, 174222, 59, 76588, 42269, 800, 1537, 201629, 328, 6, 5, 901, 82191, 24130, 1120, 6, 4, 8552, 303, 7931, 2582, 9395, 41976, 42799, 77791, 1857, 63495, 2395, 50917, 1857, 184104, 31825, 13842, 44, 5892, 55712, 44, 6, 4, 11827, 245, 64257, 52019, 18372, 206136, 2715, 149551, 312, 236808, 6, 5, 51249, 81806, 1768, 38800, 84159, 4132, 21967, 35, 753, 751, 5573, 21967, 3577, 32822, 751, 6, 4, 82684, 23969, 64107, 103, 2582, 20765, 5509, 49, 34638, 18143, 861, 44821, 6, 5, 1382, 184104, 31825, 15777, 8552, 303, 7931, 83420, 440, 35308, 15582, 336, 35333, 197, 24940, 4544, 35, 57291, 227, 129, 142317, 718, 143319, 130, 141442, 1258, 6, 4, 181866, 24130, 652, 6, 5, 3743, 18359, 2192, 49, 85119, 3226, 226, 40064, 3707, 103355, 60058, 35, 84, 153811, 130, 7044, 176295, 11231, 6, 4, 8552, 303, 7931, 2582, 61, 16826, 79696, 143319, 130, 117173, 18419, 6, 4, 44119, 161141, 6527, 132231, 28059, 1725, 6, 60927, 60769, 71199, 6, 5, 5188, 55712, 29, 141442, 559, 440, 49266, 1739, 718, 67971, 407, 3204, 141313, 89, 6, 5, 4946, 29, 8802, 2042, 19592, 30617, 1093, 58490, 7204, 2192, 184104, 6, 4, 114, 31877, 102954, 129, 97390, 97748, 6, 5, 417, 176375, 181866, 989, 6, 4, 414, 11285, 8552, 303, 7931, 2582, 18510, 61, 77, 2827, 1980, 2151, 2757, 800, 114618, 49, 3753, 102400, 103, 6, 4, 4851, 3216, 49, 25510, 82805, 4476, 184743, 17355, 1752, 1584, 811, 73144, 4684, 12332, 5145, 114, 54990, 245, 6, 4, 61, 129, 30271, 7613, 173067, 59, 145904, 63495, 2395, 50917, 1270, 36098, 1082, 44970, 49, 63326, 20, 6, 71244, 103, 6, 4, 61, 6314, 1281, 173067, 59, 3526, 1752, 15863, 326, 3699, 164720, 1082, 40223, 59, 49, 39466, 103, 6, 5, 44, 8552, 303, 7931, 2582, 9395, 97739, 1551, 33372, 164280, 63495, 2395, 50917, 1196, 184104, 559, 6, 4, 3837, 77, 214214, 19951, 6314, 72987, 48515, 650, 28008, 227914, 44, 6, 4, 20, 181866, 13391, 6, 5, 4531, 39775, 57980, 11373, 17524, 546, 4286, 559, 183, 31728, 3651, 36057, 49, 2660, 6, 4, 414, 194553, 236808, 49675, 197, 104118, 222, 61185, 2192, 35, 1093, 58490, 7204, 2192, 98947, 6, 4, 80303, 312, 111080, 1117, 159927 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 1, 0, 1, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 1, -100, -100, 0, -100, 0, -100, -100, 1, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 1, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 1, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 1, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, 0, 0, -100, 1, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, 1, 1, -100, 2, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 1, -100, 0, -100, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100 ]	[ 0, 55602, 11968, 29230, 15863, 529, 58191, 178053, 35, 168156, 130, 151386, 130, 6, 4, 252, 12390, 3516, 135, 3577, 103, 7171, 41942, 1281, 440, 11825, 13058, 424, 8568, 49, 99251, 69853, 4256, 49, 25510, 19502, 46719, 52516, 60339, 6, 5, 5188, 3920, 79015, 89, 23294, 8865, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 49, 32104, 17524, 49974, 244, 99251, 69853, 1993, 6, 5, 44308, 118816, 54674, 9403, 6962, 59, 2225, 177624, 108912, 2325, 812, 6194, 177525, 105, 45147, 380, 67341, 9228, 1874, 13572, 1200, 888, 1584, 35, 160312, 419, 103, 1584, 6, 5, 5187, 179614, 989, 6, 4, 6, 107098, 983, 9694, 139929, 145517, 222, 99251, 69853, 1993, 17157, 68737, 1417, 198443, 62705, 559, 6, 5, 44, 901, 13539, 89, 137282, 424, 8568, 52353, 68919, 20, 6, 116815, 3997, 61070, 201230, 222, 52667, 113447, 155171, 22474, 4968, 1125, 17425, 130, 10416, 91917, 59637, 99059, 49, 90194, 1993, 36334, 6, 90232, 27943, 36406, 35, 210507, 142797, 21758, 28832, 983, 44, 6, 4, 90984, 476, 28535, 989, 49, 99251, 69853, 4256, 4015, 48295, 529, 22239, 3374, 45844, 751, 5573, 59, 6, 4, 83694, 98326, 63354, 21259, 17524, 34036, 99251, 69853, 1993, 6, 5, 77900, 1086, 80319, 13701, 99251, 69853, 1993, 85645, 20, 150738, 312, 40687, 2120, 7171, 1951, 328, 29, 27136, 222, 20406, 2172, 169289, 47659, 198443, 177525, 46225, 20, 78290, 114110, 59, 407, 94328, 1857, 34911, 6, 4, 27390, 7044, 25791, 49, 52429, 29, 50487, 312, 77, 66505, 135, 19149, 130, 151263, 175030, 39300, 91917, 59, 21996, 59, 164571, 6, 5, 165182, 10416, 91917, 59637, 99059, 135, 183, 16909, 1281, 3577, 32822, 2697, 7044, 70435, 89312, 1450, 957, 162412, 179402, 29, 198928, 103, 99251, 69853, 1993, 6, 5, 5188, 3920, 10190, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 79015, 49, 229110, 63946, 49, 21259, 17524, 49974, 244, 23581, 69591, 105629, 6, 5, 901, 1739, 82191, 6, 4, 1741, 63281, 415, 5842, 3577, 32822, 11231, 35, 59681, 10337, 1281, 158234, 49, 110642, 44392, 112233, 139464, 8809, 34710, 6, 58491, 36597, 11369, 14369, 6, 5, 9504, 9888, 85645, 21465, 3735, 42036, 6, 5, 5832, 190695, 559, 811, 957, 1752, 546, 183, 130288, 212, 33309, 77472, 80894, 70726, 6, 5, 1089, 104245, 244, 184104, 559, 13987, 184200, 6, 5, 5188, 103, 22239, 151120, 1041, 24896, 546, 49, 79172, 160312, 419, 103, 1584, 6, 5, 1813, 67418, 80502, 49, 1097, 1355, 3699, 55270, 127796, 2192, 183, 16909, 8618, 190695, 559, 206669, 135, 3577, 1551, 591, 800, 82246, 49, 60480, 228747, 59, 49, 13912, 21288, 46719, 7898, 110642, 99251, 69853, 1993, 6, 4, 41346, 3738, 1741, 63281, 751, 211562, 227, 4682, 546, 148577, 227, 5058, 183, 130288, 6, 5, 48729, 222, 652, 25514, 177624, 7765, 198443, 6171, 6, 5, 672, 79171, 20, 150451, 49, 31310, 103, 34078, 1041, 79449, 197709, 4544, 141272, 89, 38846, 512, 93834, 957, 1323, 2697, 13398, 49, 229110, 6, 4, 414, 1266, 336, 13524, 39648, 1730, 38952, 6, 72807, 227491, 135, 3577, 32822, 11231, 16950, 66176, 4482, 861, 45073, 89, 61, 9753, 26730, 6, 5, 21199, 1266, 214461, 6, 4, 414, 77, 3150, 8871, 640, 43817, 407, 61789, 141313 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, 0, 0, 1, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 1, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 1, -100, 0, 1, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 1, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 1, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 1, 0, 1, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 1, 0, 0, 0, -100, 0, 1, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 1, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 1, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100 ]	[ 0, 96070, 160181, 6674, 68516, 89, 13575, 60970, 6, 4, 98563, 186892, 49, 6, 188685, 419, 2557, 81062, 7898, 16443, 226, 1089, 22509, 2257, 135, 2262, 5347, 10698, 1857, 89196, 7613, 6, 4, 79015, 6, 4, 414, 4988, 68516, 89, 49, 5892, 736, 8688, 103, 1080, 652, 168776, 46922, 66969, 44, 6, 205593, 3997, 51192, 44, 15, 6, 45844, 51367, 1388, 6, 5, 164050, 20, 93687, 245, 8005, 3738, 14560, 6, 4, 4988, 19812, 6, 45844, 51367, 123928, 75566, 6, 5, 417, 156954, 2172, 424, 118696, 4132, 8809, 1729, 80734, 551, 1996, 677, 129162, 1993, 8552, 303, 7931, 2582, 159315, 14560, 35, 68516, 743, 70422, 210, 10998, 77299, 98947, 1281, 6, 4, 3738, 21307, 9661, 9690, 650, 969, 15919, 7310, 35, 753, 751, 5573, 21967, 3577, 32822, 751, 6, 5, 829, 52829, 2120, 104650, 197, 49, 17442, 8270, 6, 4, 4222, 173732, 97727, 1125, 184942, 59, 14560, 219768, 135, 142513, 419, 49, 5506, 546, 6, 5, 127707, 54677, 45697, 8809, 222823, 59, 3738, 93661, 8552, 303, 7931, 83420, 4987, 194849, 84, 56695, 59, 6, 5, 96070, 142972, 6674, 68516, 89, 93834, 650, 9121, 47174, 244, 111529, 6, 4, 414, 49, 148026, 98276, 244, 518, 68516, 89, 6171, 13987, 33372, 6, 5, 34257, 77, 22947, 6, 4, 1266, 106405, 718, 93661, 1258, 819, 718, 4296, 120006, 312, 151555, 6, 5, 51249, 141253, 59, 4387, 163455, 5138, 35784, 7246, 14059, 6, 5, 44, 13314, 2716, 29626, 183, 34552, 1117, 6, 4, 414, 49, 22326, 25873, 59, 6, 4, 165710, 105, 43155, 37976, 115987, 105, 23054, 105, 49, 157427, 6, 4, 62415, 8552, 303, 7931, 83420, 70677, 18143, 1219, 8914, 183, 34552, 120553, 34571, 4, 9, 1711, 59131, 40010, 160181, 6674, 13575, 60970, 6, 5, 20, 1851, 184104, 227, 94347, 72942, 6, 4, 2696, 97062, 68516, 743, 112187, 312, 35, 1093, 85979, 1857, 22480, 1768, 44, 6, 5, 96961, 72365, 13575, 60970, 111529, 6, 4, 414, 164050, 35240, 4354, 49, 5138, 38519, 130, 35, 5124, 7898, 7044, 60994, 650, 2172, 10416, 91917, 103, 518, 35797, 312, 170789, 135, 174001, 202746, 188205, 59, 6, 5, 6, 235584, 41325, 6962, 31597, 1086, 92228, 103, 49, 181700, 130, 16443, 226, 121706, 34473, 1447, 20803, 6, 147620, 244, 7765, 184104, 559, 6, 4, 132991, 24873, 63671, 49, 242697, 49, 27285, 21406, 101654, 312, 8809, 99920, 20, 124698, 41622, 551, 16832, 50111, 89, 14310, 17527, 25736, 89, 35, 172105, 8534, 21741, 8441, 4056, 7324, 45653, 1752, 6, 5, 536, 104113, 2946, 28422, 9159, 6878, 6, 4, 414, 7638, 29, 131166, 174222, 419, 49, 22326, 111034, 59392, 20, 175613, 92261, 6, 5, 63601, 1447, 45844, 222, 47174, 244, 6, 4, 50518, 12434, 34473, 1447, 5902, 180295, 81650, 6, 4, 414, 77, 30079, 159976, 44, 175613, 16812, 44, 84274, 1047, 718, 6, 147620, 244, 5902, 75340, 75819, 42157, 43996, 1269, 28943, 1299, 138266, 433, 6, 4, 33309, 208473, 128712, 1768, 29, 101654, 312, 7765, 189495, 31843, 559, 23793, 85280, 11968, 29230, 15863, 6, 5, 83559, 12185, 4987, 35231, 71066, 59, 9765, 753, 751, 5573, 5902, 219403, 1768, 5337, 40583, 157075, 15, 6, 32938, 1388, 6, 5, 91562, 184104, 59, 20, 29529, 45844 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 1, -100, 2, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 1, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 1, -100, 2, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 1, -100, 2, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 1, -100, -100, -100, 0, -100, 1, -100, -100, 0, -100, 1, 2, 2, -100, 0, -100, 1, 2, 2, -100, 0, 1, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, 2, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 1, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100 ]	[ 0, 417, 13390, 61, 84, 103300, 419, 4560, 1219, 28908, 29, 41374, 312, 62008, 104111, 245, 13610, 197, 42007, 1086, 19890, 87387, 29, 8778, 47952, 6, 5, 447, 15176, 10573, 70356, 49, 105424, 244, 111591, 70428, 1196, 183, 888, 14160, 20, 49, 176833, 47104, 12489, 135990, 43460, 5138, 4703, 29, 209, 138199, 183, 24840, 38185, 695, 51879, 6, 4, 35, 169588, 154079, 2454, 6, 5, 13578, 33314, 52218, 49006, 1993, 13634, 57464, 222, 6, 5, 191273, 129, 14560, 6, 4, 129, 2262, 30102, 70209, 82191, 6, 4, 90229, 1219, 2678, 9561, 6, 5, 417, 184862, 312, 13610, 46183, 336, 84, 103300, 213294, 547, 5138, 6331, 55013, 6, 4, 9953, 201, 21069, 55013, 189338, 197, 6, 5, 188719, 1781, 21069, 55013, 49, 242697, 1203, 4768, 45714, 6878, 1093, 47728, 89, 98361, 6, 5, 4056, 109313, 4684, 407, 82805, 45799, 1214, 20, 5641, 424, 5308, 6, 4, 326, 3699, 29725, 90229, 9561, 6, 4, 67601, 424, 20, 61, 54592, 36708, 197, 20860, 20917, 106812, 227, 6, 5, 417, 13390, 61, 1080, 79734, 1114, 827, 440, 25791, 29, 8778, 47952, 152, 49, 59119, 161057, 9037, 41362, 84, 27465, 969, 67998, 6, 5, 103830, 4082, 118925, 49, 151589, 36553, 57878, 202875, 6, 4, 49, 198710, 1214, 4406, 2052, 8941, 54883, 227, 6, 89241, 90798, 70356, 35, 105168, 6, 4, 35, 1960, 101756, 6, 4, 7193, 4768, 214209, 49, 151589, 36553, 57878, 6, 4, 49, 101690, 9072, 17641, 698, 115495, 135, 100252, 419, 6, 5, 36933, 2574, 6, 4, 2511, 62008, 419, 29, 60700, 551, 93661, 59, 130025, 1768, 81560, 227, 152, 70356, 30984, 526, 28535, 424, 100218, 559, 6, 8835, 135, 74546, 6878, 135, 18957, 4135, 87225, 6, 4, 3926, 1355, 178250, 4684, 155333, 90579, 559, 90229, 28535, 53819, 244, 147522, 6, 4, 414, 3150, 49, 101690, 96924, 718, 183, 13510, 1200, 20151, 147381, 104527, 6, 5, 44, 589, 19108, 108912, 95672, 105, 184862, 312, 13610, 46183, 1006, 198015, 12480, 84, 19727, 6, 4, 122614, 2176, 26574, 77, 103804, 546, 44, 6, 4, 20, 83694, 163010, 130, 11989, 222, 6, 4, 128379, 35736, 147703, 130958, 16443, 205, 6, 5, 447, 103300, 4560, 1219, 28908, 85884, 5058, 1080, 79734, 1114, 35, 29, 8778, 46221, 49, 62008, 1214, 2857, 800, 45844, 2097, 6, 4, 198056, 51533, 26464, 6, 4, 63326, 20, 202760, 3007, 6, 4, 63326, 20, 6, 71244, 35, 202950, 79170, 6, 5, 28421, 33891, 6, 48531, 415, 9561, 90229, 546, 61, 12826, 173061, 27091, 49, 99352, 1768, 184412, 49, 41841, 29, 8778, 336, 1394, 6, 4, 5058, 811, 39673, 1196, 58893, 130, 84, 103300, 59, 4560, 1219, 28908, 6, 4, 7176, 100288, 52207, 177216, 695, 30037, 17425, 49, 121307, 2395, 10951, 35, 589, 23300, 1120, 13589, 6, 5, 70109, 13022, 14560, 220936, 129909, 1086, 110506, 11284, 220946, 14560, 6, 4, 3837, 43993, 38519, 206857, 183, 84, 103300, 59, 6, 5, 2 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 1, -100, -100, 2, 2, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100 ]

[ 0, 218116, 14159, 228369, 59, 5506, 142269, 6, 4, 78536, 159976, 49, 149314, 29, 143885, 29, 61858, 1768, 166658, 72904, 1269, 650, 1711, 6, 4, 49, 53094, 476, 123339, 129334, 1730, 36274, 9037, 128530, 19701, 2052, 47030, 20, 72904, 1269, 79260, 6, 4, 1656, 56887, 102445, 38952, 93887, 29, 210055, 9287, 6, 5, 4056, 6168, 159976, 169721, 183, 119463, 151263, 141272, 89, 21996, 59, 193301, 2946, 35, 153682, 19816, 65346, 1082, 29440, 19701, 2052, 47030, 20, 72904, 1269, 79260, 407, 182637, 4544, 9778, 7765, 25077, 559, 6, 5, 15910, 206096, 89, 13394, 143885, 11271, 650, 42533, 2151, 6, 5, 5187, 140950, 49, 2530, 414, 104650, 2172, 79171, 20, 6, 111346, 547, 67409, 336, 67196, 59, 104000, 228369, 59, 5506, 142269, 6, 4, 44, 183381, 49, 19701, 2052, 47030, 20, 72904, 1269, 79260, 134222, 16950, 15782, 245, 4354, 6, 4, 143885, 135419, 559, 21996, 59, 193301, 2946, 35253, 77, 105, 6417, 2033, 1551, 44, 6, 5, 21199, 49, 34078, 89, 59, 226, 151263, 141272, 89, 27595, 14554, 22959, 97062, 139769, 135, 49623, 28832, 1857, 35, 234075, 6, 4, 414, 2732, 44, 5641, 718, 58601, 168078, 1730, 2262, 227, 2395, 44653, 54058, 28008, 61066, 227, 29, 166658, 44, 6, 4, 29477, 79211, 989, 44, 129, 4866, 4045, 38535, 3315, 743, 67196, 59, 104000, 228369, 59, 5506, 142269, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 1, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 417, 20755, 529, 71373, 3455, 98101, 39242, 113799, 312, 6, 204209, 1768, 162717, 969, 11968, 3281, 73042, 40087, 6, 4, 178037, 103, 13117, 120762, 6878, 407, 230368, 17492, 33303, 45662, 407, 29751, 6, 5, 417, 71007, 6, 4, 133236, 9268, 8942, 6, 5, 185278, 29, 10757, 77, 66505, 6, 4, 414, 27355, 77, 4988, 24840, 128379, 2542, 49, 164319, 103, 49, 22692, 17492, 33303, 34664, 44, 160052, 328, 212, 44, 6, 5, 1729, 24240, 358, 1721, 222, 1976, 424, 133236, 9268, 40841, 120006, 87363, 59, 6, 4, 414, 132139, 183, 103, 31224, 49, 164319, 103, 3150, 35, 15856, 49922, 11285, 44, 160052, 18149, 44, 6, 5, 44, 47995, 4, 9, 39816, 2732, 4, 9, 5434, 77, 18510, 139490, 80417, 6, 5, 423, 20, 387, 4476, 20, 10503, 19011, 518, 61256, 695, 149514, 30840, 6, 4, 120762, 41557, 23294, 6, 5, 44, 172707, 133236, 77, 5641, 2297, 6, 5, 118975, 8552, 1521, 1219, 105, 6, 4, 128379, 95457, 79360, 111, 21629, 45314, 9966, 121293, 49, 7931, 650, 20, 19821, 680, 2687, 6, 4, 83694, 407, 149001, 89, 49, 110293, 2101, 119882, 49, 117163, 196666, 14195, 13, 17336, 55061, 65421, 6, 4, 14925, 6, 4, 129, 1739, 66689, 6, 4, 129, 7878, 5719, 44, 49356, 4135, 2192, 51410, 2716, 44, 6, 4, 15319, 2192, 529, 48981, 13953, 110400, 227, 135, 47651, 1857, 17492, 2303, 1584, 718, 15983, 336, 35, 59945, 6, 5, 68406, 98276, 77, 35359, 217771, 1041, 1006, 152, 40087, 13555, 234798, 59, 49, 10586, 8165, 6, 4, 414, 216985, 312, 74167, 819, 128082, 94921, 56139, 92881, 440, 34632, 97986, 227, 84926, 6, 4, 2696, 14219, 71045, 75874, 1006, 132281, 103, 35, 80957, 103, 2406, 1041, 63892, 6, 5, 133236, 6314, 32302, 207763, 82493, 21741, 7054, 129, 151555, 3216, 49, 2038, 34959, 5434, 2699, 6, 5, 38828, 312, 2155, 447, 12910, 1068, 424, 40087, 83694, 152, 44, 7796, 127754, 162168, 53733, 130, 6, 5, 1087, 28470, 6, 4, 414, 7193, 20, 690, 75918, 222, 49, 690, 6, 4, 414, 1097, 34180, 13287, 80417, 6, 4, 779, 2176, 3216, 79885, 1551, 85946, 89, 45482, 827, 518, 42157, 17524, 191199, 139425, 110400, 559, 6, 5, 44, 1729, 24240, 1435, 23457, 4184, 650, 424, 43045, 18481, 10760, 111, 10542, 313, 70663, 6, 4, 6, 159113, 245, 6, 4, 211928, 30236, 518, 85699, 17492, 33303, 34664, 407, 24339, 160711, 103, 105897, 652, 1874, 3086, 751, 216985, 244, 44, 975, 52133, 2697, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 1, -100, -100, 2, 2, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 901, 130347, 44308, 743, 3526, 6, 4, 128590, 15137, 235899, 41374, 244, 195369, 94946, 31148, 224863, 49, 2038, 34959, 49795, 2699, 78536, 6878, 49, 1332, 743, 20, 3470, 3712, 698, 7898, 183, 28255, 44, 60021, 1323, 44, 35, 13192, 35669, 135, 161135, 424, 18359, 3795, 2431, 42689, 407, 213294, 24192, 130, 6, 60927, 13701, 11353, 13617, 29, 119646, 14722, 6, 5, 34257, 125326, 424, 6, 83389, 71314, 14560, 173383, 811, 1125, 82608, 5138, 387, 97986, 559, 84926, 29, 34560, 186275, 6, 4, 119436, 135, 11353, 91188, 6, 5, 44, 804, 10849, 29, 2188, 5969, 29, 6, 73485, 59, 22959, 20228, 107715, 44, 6, 4, 20, 188969, 32302, 58482, 591, 74594, 78917, 93834, 25126, 24130, 380, 6, 5, 804, 10849, 123821, 29, 2294, 652, 58036, 80894, 77791, 2151, 13053, 103, 6, 4, 57652, 105062, 73595, 44653, 94946, 77892, 13117, 14560, 13995, 100625, 3410, 7621, 62008, 1258, 9953, 101912, 119882, 84926, 49, 25510, 714, 4476, 129, 105447, 1068, 6194, 228980, 4256, 6, 5, 21199, 6, 4, 190369, 407, 54671, 54976, 63214, 128530, 6, 4, 811, 526, 2827, 126674, 312, 79166, 77, 1741, 23369, 51639, 135, 36858, 6467, 100625, 1281, 6, 4, 1145, 819, 75552, 76349, 1730, 29, 11125, 888, 59585, 9439, 130, 6, 4, 69893, 35817, 59637, 200438, 145583, 130, 6, 5, 21199, 29, 79166, 74599, 55980, 68919, 183, 3429, 26135, 100895, 192776, 227, 29, 447, 12329, 547, 20, 26733, 5719, 6, 5, 672, 1332, 743, 20, 3470, 3712, 698, 5902, 109705, 1768, 136581, 103, 80077, 90452, 119537, 49, 149314, 84, 44106, 49, 115257, 29, 138, 1745, 6, 4, 627, 68538, 179789, 18345, 7, 20, 5138, 4703, 29, 201, 1745, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 94211, 147703, 130958, 14560, 69765, 14424, 23192, 518, 75586, 77791, 1857, 51535, 1993, 129, 57231, 40206, 4256, 102687, 115987, 105, 188205, 105, 6, 4, 93661, 59, 29725, 6, 4, 129, 85093, 91791, 220936, 59, 6, 4, 240986, 135, 163663, 5532, 419, 6, 5, 5188, 3920, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 52494, 105, 581, 2356, 5753, 19114, 6, 5, 1851, 76929, 51535, 4256, 147282, 179614, 88210, 29, 69966, 142453, 129, 186274, 135, 130074, 827, 147522, 6, 5, 5074, 5434, 11085, 21726, 5719, 207467, 49, 142571, 1551, 8165, 4948, 119882, 84926, 35, 4768, 12664, 119882, 84926, 29, 90458, 3693, 2699, 6, 5, 5187, 123637, 581, 2356, 5753, 19114, 6, 4, 44, 49, 174788, 227, 1120, 71141, 165324, 244, 1203, 87410, 220070, 54434, 227, 407, 2660, 6, 4, 414, 12826, 22480, 6, 4, 122615, 87170, 6, 4, 3216, 811, 26813, 232601, 227, 518, 206136, 1114, 54883, 559, 591, 2380, 36686, 57878, 182499, 44, 6, 5, 83559, 93661, 59, 12504, 440, 13510, 303, 88897, 718, 184104, 94768, 69509, 130, 6, 4, 33520, 2151, 4988, 6826, 44, 6, 5, 417, 14560, 3216, 97945, 51535, 1993, 6, 4, 200528, 160016, 819, 718, 85645, 1719, 6, 4, 1145, 35, 148177, 130, 177525, 1258, 6, 4, 224125, 83772, 827, 49, 8148, 111039, 13994, 39255, 175765, 6, 5, 21199, 2792, 66129, 4135, 142219, 6, 4, 157564, 17896, 6, 4, 29, 232601, 1214, 6, 4, 134060, 17330, 130074, 84, 6826, 6, 4, 252, 77, 84, 53819, 244, 147522, 637, 114, 224670, 2958, 17880, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 829, 64743, 181515, 41374, 244, 197849, 559, 130390, 1768, 22937, 20755, 13453, 5613, 77865, 49, 149314, 6, 4, 1039, 67165, 6, 4, 135, 24969, 1455, 150975, 59, 31420, 6173, 14394, 61295, 1768, 20, 134542, 1551, 44, 66751, 44, 6, 4, 181441, 1857, 21059, 419, 811, 72807, 44, 804, 10758, 44, 6, 5, 5187, 79015, 89, 49, 53094, 476, 51836, 11312, 804, 72359, 20, 36690, 45961, 49, 53686, 103, 35736, 145109, 827, 6, 4, 197849, 89, 35797, 811, 23984, 1006, 29, 33325, 72196, 17492, 33303, 105, 6, 5, 74543, 1768, 218482, 129, 119746, 105, 197849, 559, 183, 175039, 22239, 9395, 193868, 4018, 46107, 20, 89037, 38964, 61295, 380, 20, 216985, 312, 14909, 44, 5561, 55772, 2632, 20, 2443, 124333, 650, 44, 189604, 1082, 85747, 157951, 20, 6, 204209, 1082, 158193, 6, 5, 2 ]

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

[ -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100 ]

[ 0, 136148, 1041, 6, 30363, 8809, 12358, 1270, 147459, 40331, 48352, 2697, 228582, 49, 151976, 193182, 44, 97836, 44, 6, 4, 414, 158303, 44, 86079, 59, 183, 47558, 3410, 1372, 67165, 49, 94447, 2390, 226, 13701, 8921, 71314, 106364, 44, 6, 5, 4056, 7572, 19592, 83521, 989, 49, 53094, 476, 108305, 12358, 1270, 147459, 16372, 8635, 77, 100288, 1219, 13987, 33372, 20, 44, 13299, 183, 47558, 3410, 8921, 71314, 189768, 49, 165793, 44, 6, 5, 127532, 559, 77, 84, 7133, 93337, 44, 58215, 5145, 40153, 6, 4, 224644, 1874, 49, 8921, 103, 71314, 106364, 44, 6, 4, 87363, 40331, 48352, 2697, 6, 5, 12459, 215623, 1114, 8921, 3318, 33520, 29, 255, 18954, 928, 49, 64110, 142872, 303, 70847, 92267, 4256, 6, 4, 49, 40473, 6, 18655, 33364, 129, 714, 132943, 183, 238453, 227, 6, 4, 79449, 16286, 35, 128530, 6, 5, 40331, 48352, 2697, 84014, 6, 4, 414, 49, 68642, 8979, 10757, 105677, 44, 55227, 227, 71314, 106364, 9072, 82851, 45395, 46896, 2454, 44, 6, 5, 2 ]

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

[ -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 1, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 1, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 1, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 1, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 1, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, 0, 0, 1, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 1, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100 ]

[ 0, 152458, 130, 154327, 18419, 1145, 35, 77, 110251, 238277, 213184, 105190, 183, 8635, 26464, 50203, 6, 107098, 67627, 827, 1714, 13539, 86783, 5785, 18957, 227, 4932, 111, 2356, 5753, 49, 68642, 20803, 148434, 2958, 28203, 1394, 49, 140620, 2687, 6, 4, 79015, 197, 153827, 804, 72359, 20, 36690, 45961, 6, 5, 1087, 103234, 2792, 5058, 35, 137238, 983, 52494, 1857, 13385, 407, 591, 33394, 45073, 89, 5785, 154693, 27617, 18102, 210983, 6, 4, 811, 87323, 1196, 80894, 8568, 6, 5, 3499, 13539, 3997, 49, 149314, 49, 140620, 2687, 6, 4, 184871, 124698, 743, 2509, 8441, 14560, 6, 4, 41976, 59123, 59, 129, 84, 66814, 2151, 142598, 130, 72480, 2519, 56748, 86051, 2557, 6546, 67589, 6527, 181850, 22498, 49704, 6, 4, 529, 20601, 60638, 212, 123020, 73429, 989, 3433, 13390, 60303, 129, 30083, 4932, 111, 2356, 5753, 35, 242707, 407, 197709, 3410, 95896, 2519, 6, 5, 1729, 14809, 80894, 1086, 180108, 13385, 29, 114, 312, 25862, 83694, 44341, 66699, 14560, 29134, 14394, 115533, 27596, 6794, 650, 6, 5, 213870, 2097, 7638, 127815, 227, 226, 888, 8865, 46414, 8441, 35, 183, 8635, 26464, 50203, 49, 8568, 6, 5, 6, 132250, 245, 407, 151555, 8865, 46414, 8441, 44, 49, 207608, 87879, 1214, 44, 6, 4, 86051, 2557, 6546, 105, 46235, 380, 83694, 6, 4, 414, 424, 8568, 84, 41981, 32942, 97986, 227, 84926, 6, 4, 407, 68295, 245, 238929, 29, 25862, 1214, 49, 142972, 27617, 244, 6, 5, 901, 1739, 66689, 6, 4, 49, 91791, 14560, 57707, 136720, 9296, 6, 4, 414, 44, 215790, 1714, 13539, 1874, 42157, 104844, 171219, 44664, 1874, 200051, 31646, 227, 518, 183, 8635, 26464, 18102, 6, 4, 47554, 1196, 231700, 114408, 49, 8568, 44, 6, 5, 44, 160537, 14560, 77, 119011, 12758, 13418, 183, 24276, 50314, 518, 6, 41333, 17425, 1714, 13539, 1196, 18102, 424, 20, 61, 3226, 35458, 59, 6, 4, 2431, 70292, 177852, 135, 183, 8635, 96126, 130, 132661, 50203, 35, 76047, 81646, 1857, 1714, 13539, 58706, 49, 51871, 44, 6, 4, 20, 143675, 1266, 6, 5, 185020, 4427, 130, 1266, 45891, 328, 7846, 29, 690, 6, 4, 414, 969, 108629, 52766, 103, 114088, 103, 234085, 14560, 969, 145067, 80566, 42905, 2192, 166153, 7812, 13539, 48520, 6, 4, 3837, 2984, 2120, 2294, 718, 7533, 54671, 188568, 819, 44, 183, 8635, 96126, 50203, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 1, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100 ]

[ 0, 1039, 67165, 49, 52429, 49, 34992, 13701, 189604, 1082, 76880, 25896, 155641, 59, 140335, 245, 591, 4653, 2097, 135, 9504, 9685, 1768, 23568, 48970, 90798, 6, 5, 7796, 217682, 1551, 46671, 14419, 10190, 23581, 27673, 2582, 205, 150926, 11, 6, 5, 4518, 79707, 59, 1729, 17471, 97440, 59, 6, 5, 7720, 84255, 51639, 15229, 36274, 6, 4, 1741, 41341, 415, 6, 4, 1741, 30289, 415, 35, 134529, 69961, 93502, 20228, 38335, 983, 6, 4, 14468, 6794, 1794, 34358, 35, 120420, 6794, 1794, 34358, 6, 4, 1093, 62671, 20, 27035, 42905, 983, 6, 4, 779, 135, 127443, 3455, 228429, 75674, 82461, 6, 5, 4805, 4208, 90815, 210227, 424, 217682, 44712, 38335, 983, 49, 5138, 75748, 130, 139070, 1993, 20, 233136, 29, 131297, 75413, 6, 4, 35, 2732, 183, 28742, 4354, 6, 5, 50656, 5058, 29, 68279, 3732, 312, 105644, 7613, 2176, 4774, 35, 65718, 44, 4056, 111795, 1117, 153, 248, 5464, 272, 160017, 1301, 153, 44, 2 ]

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

[ -100, 1, -100, -100, 2, -100, 0, 1, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 4056, 24214, 40342, 31465, 1584, 35, 79698, 245, 206096, 89, 40326, 407, 211826, 244, 49, 51752, 13117, 601, 5, 618, 5, 919, 5, 1052, 5, 441, 5, 436, 939, 6, 5, 24890, 6, 5, 6, 4, 161256, 2946, 162412, 6, 87924, 105, 29, 106261, 25337, 1270, 81546, 2097, 121801, 29, 53046, 32071, 48837, 62204, 6, 5, 25202, 224390, 6, 27465, 129, 6, 187771, 130, 6, 4, 21515, 91957, 2431, 174478, 23453, 38219, 827, 29, 144910, 10582, 79211, 69765, 227, 6, 4, 55732, 44, 19878, 49, 27027, 103, 44, 2792, 231003, 89, 53046, 32071, 4256, 6, 5, 901, 30271, 751, 162598, 29, 76784, 3795, 179388, 637, 3709, 61, 161135, 4641, 77, 440, 207686, 718, 161760, 121900, 4045, 31969, 105, 6, 4, 252, 16642, 116069, 546, 130055, 29, 22718, 53046, 59914, 6, 5, 10405, 92103, 130, 5145, 160031, 6, 47558, 16833, 714, 119882, 21674, 20, 19658, 1976, 6, 4, 61123, 36689, 136951, 20, 969, 9753, 1874, 21674, 20, 175105, 21515, 77672, 130055, 130, 49, 22326, 31969, 59, 70170, 6, 4, 252, 136951, 167727, 547, 53046, 32071, 48837, 62204, 6, 5, 417, 149314, 49108, 49647, 36098, 3997, 64760, 206096, 59, 6, 4, 414, 10172, 218, 743, 811, 27824, 380, 6, 4, 35, 62204, 969, 92103, 157603, 202875, 6, 5, 2 ]

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

[ -100, 0, 0, -100, 1, -100, -100, -100, -100, 2, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, -100, -100, -100, -100, 2, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 1, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]

[ 0, 672, 163955, 419, 33317, 526, 47453, 1041, 1551, 6, 13119, 2303, 8875, 1105, 67165, 54064, 6878, 235413, 227, 9504, 89, 2102, 49394, 559, 1006, 23568, 48970, 90798, 6, 5, 417, 11709, 107981, 60828, 4387, 1741, 27449, 812, 424, 145904, 31303, 59, 6, 175486, 227, 6, 4, 4851, 29, 415, 957, 336, 155641, 59, 140335, 245, 591, 4653, 2097, 6, 4, 49, 589, 1455, 5969, 12635, 148780, 33317, 526, 47453, 18654, 695, 6, 242951, 245, 6, 5, 20793, 49, 440, 24178, 22573, 1993, 2530, 196507, 244, 129807, 35, 141442, 559, 50487, 108854, 5509, 183, 7061, 96126, 6, 5, 901, 7044, 4653, 2454, 135, 9504, 9685, 1768, 49394, 559, 1857, 133300, 5058, 90953, 59, 50406, 105526, 79260, 672, 8489, 2578, 118036, 8489, 6, 4, 10797, 1874, 43475, 40342, 35, 68453, 1874, 50786, 15137, 30296, 6, 4, 49, 2660, 20068, 222676, 1813, 723, 2697, 6, 4, 252, 5058, 2294, 64393, 40010, 142972, 6674, 45653, 650, 20, 12769, 11369, 244, 48122, 142241, 6, 4, 200093, 11667, 15823, 3526, 680, 4560, 62156, 417, 144055, 4132, 476, 11797, 800, 6309, 6, 4, 90953, 59, 164299, 122890, 4019, 59, 2718, 22509, 3681, 3429, 4286, 6, 5, 2 ]

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

[ -100, 0, 1, -100, -100, -100, 2, 1, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 1, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 1, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 1, -100, -100, 2, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 1, -100, -100, 2, -100, -100, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 1, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 1, -100, -100, 2, 2, -100, 0, -100, 1, -100, -100, 1, -100, -100, -100, 2, 0, 1, -100, -100, 1, -100, 2, 2, -100, -100, 2, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 1, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 417, 10962, 312, 38060, 7898, 110642, 1721, 1521, 5573, 59, 28276, 2233, 150174, 440, 22474, 15919, 1269, 160181, 99059, 195817, 8568, 35, 183, 16909, 559, 6, 85193, 68483, 7044, 70435, 6880, 23294, 61, 45571, 928, 29153, 1196, 54058, 6033, 559, 35, 13901, 1196, 68439, 559, 6, 4, 440, 1200, 680, 17330, 49, 114, 24119, 16726, 17355, 44624, 89, 35, 19701, 44624, 89, 6, 5, 5187, 79015, 89, 23294, 35030, 1709, 44, 97836, 44, 49, 79171, 20, 120606, 195817, 8568, 6, 4, 1203, 84820, 103, 60536, 512, 4947, 59, 92084, 23122, 42157, 3577, 32822, 2697, 6, 4, 3837, 4768, 110468, 29, 2757, 3315, 35605, 89, 5892, 2562, 5902, 183185, 6, 4, 21059, 170404, 6, 5, 223656, 46478, 85747, 8007, 49, 1450, 957, 87315, 174412, 237702, 59, 702, 811, 7330, 559, 6, 5, 901, 165324, 130, 79171, 20, 44970, 195817, 8568, 6, 4, 2732, 42393, 49266, 37841, 36274, 118925, 35, 1741, 7846, 559, 49, 6871, 5482, 98542, 84, 8875, 2716, 103, 29, 30724, 18449, 19910, 6, 5, 901, 35, 21758, 11519, 1355, 44, 96012, 695, 67196, 59, 440, 71226, 211455, 4798, 76240, 2325, 32050, 16641, 6467, 174001, 18449, 19910, 44, 6, 4, 156954, 1857, 193182, 44, 97836, 44, 6, 4, 62705, 227, 29, 202536, 61295, 380, 20, 111034, 28008, 84, 21195, 129, 114, 24119, 804, 736, 80423, 20, 56110, 222, 6, 4, 43398, 82844, 19108, 22146, 4286, 45726, 8809, 34710, 35, 9880, 4446, 1584, 1851, 46719, 20, 56110, 222, 145367, 34710, 6, 5, 14853, 1417, 120323, 175030, 326, 85251, 177525, 59, 224864, 1323, 245, 40403, 1219, 6, 4, 414, 84, 21195, 29, 15479, 32369, 2530, 129, 23360, 130, 3577, 32822, 2697, 6, 4, 53841, 2151, 29, 30724, 18449, 19910, 6, 5, 1851, 1068, 18372, 135, 47236, 3315, 11369, 89, 18449, 19910, 38393, 6878, 1983, 67260, 28422, 1086, 63281, 227, 1450, 128603, 7765, 16122, 559, 35, 73182, 160181, 99059, 6, 5, 2 ]

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

[ -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, -100, 0, -100, -100, 0, 0, -100, 1, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100 ]

[ 0, 672, 54064, 185987, 49, 1450, 49361, 72907, 149314, 79171, 20, 150451, 13022, 44, 161679, 80046, 44, 120276, 171280, 4853, 407, 7044, 3806, 476, 42689, 407, 2660, 6, 4, 73778, 2294, 8544, 236189, 49, 131656, 6, 151602, 1270, 11133, 22051, 2351, 518, 115165, 59, 80046, 56110, 1114, 15983, 861, 7343, 6, 5, 103830, 2574, 6, 4, 129, 66689, 171280, 55953, 6, 4, 49, 53094, 476, 8544, 57283, 13287, 135, 35, 7898, 49, 4060, 29, 111918, 1089, 55907, 6, 4, 49, 25350, 1315, 14423, 97430, 29725, 326, 158263, 187339, 12185, 407, 2660, 6, 4, 414, 8544, 6, 81660, 53871, 27595, 212406, 195386, 1082, 7877, 197, 73909, 5119, 6, 4, 20, 106064, 193182, 44, 97836, 44, 6, 5, 901, 66689, 171280, 55953, 6, 4, 56110, 983, 15983, 861, 2697, 6, 4, 49, 8914, 44515, 6, 4, 6314, 32302, 129, 31728, 79166, 29, 52494, 105, 44, 8552, 94078, 44, 6, 4, 40473, 35, 6, 86463, 53871, 18957, 1089, 55907, 6, 5, 171280, 4853, 77, 13524, 13713, 3873, 6, 4, 414, 29, 1089, 55907, 4987, 255, 59576, 59, 195190, 44, 144387, 234495, 1082, 68902, 151778, 44, 6, 4, 40553, 49, 255, 41839, 2172, 68902, 103, 104633, 69997, 51009, 407, 68902, 103, 4406, 103, 198486, 105, 50203, 61, 212406, 44, 30963, 424, 163955, 1009, 58907, 44, 6, 5, 34257, 77, 22947, 6, 4, 13022, 44, 161679, 80046, 44, 84014, 6, 4, 414, 44, 63314, 8118, 6, 4, 1097, 84, 129850, 61, 59576, 2233, 238572, 245, 84, 9526, 49, 2262, 526, 3806, 1993, 2262, 5347, 10698, 1857, 187184, 44, 6, 5, 2 ]

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

[ -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 1, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 1, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 199095, 131656, 86079, 197, 181850, 16557, 49, 27027, 21388, 21322, 64538, 6, 4, 106064, 804, 72359, 20, 36690, 45961, 6, 5, 672, 169289, 29, 10757, 77, 66505, 16112, 546, 152238, 45775, 161232, 547, 6314, 129, 180503, 35, 146753, 4256, 32739, 203090, 99781, 6, 4, 7176, 119638, 49, 25510, 196507, 244, 102375, 4476, 969, 13713, 3410, 718, 27027, 105, 5138, 1112, 1745, 123070, 244, 54575, 6, 5, 417, 77828, 3699, 130055, 827, 6891, 640, 38800, 16642, 483, 1745, 126766, 131656, 6, 5, 672, 9727, 218279, 146249, 8809, 49962, 424, 164299, 71314, 14219, 811, 87323, 227, 11709, 33891, 97986, 59, 17176, 6, 5, 901, 66689, 5832, 95700, 11054, 526, 8532, 1041, 5004, 6, 4, 124698, 31925, 131656, 6, 4, 6314, 129, 134268, 203090, 99781, 4387, 156505, 6, 4, 40553, 236206, 61, 31843, 3280, 29, 68096, 16642, 164360, 6, 4, 35, 42621, 27710, 91528, 49, 54315, 6, 4, 414, 29, 58858, 123330, 14560, 127864, 4641, 75442, 20765, 32942, 49, 10757, 8148, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, -100, 1, -100, 0, -100, 1, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 1, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0 ]

[ 0, 5187, 206096, 29, 54064, 185987, 49, 149314, 194539, 150451, 141884, 89, 22480, 20, 64456, 79038, 195215, 15, 90285, 48212, 1388, 200093, 88015, 9363, 2687, 3988, 9363, 3007, 15052, 6, 4, 102823, 13299, 163832, 29514, 1874, 80894, 123954, 255, 4682, 1891, 35, 64456, 59, 195215, 255, 72142, 3576, 2699, 6, 5, 4619, 13299, 3150, 4768, 255, 81463, 234290, 2699, 49, 52974, 59705, 1117, 79225, 29, 6, 175154, 255, 1372, 84926, 61, 2406, 3429, 2716, 15, 76119, 182903, 559, 1388, 6, 5, 4946, 4798, 52723, 105, 153508, 5058, 183547, 20, 238359, 16812, 35, 192776, 227, 29, 33799, 1041, 90798, 136581, 103, 6, 5, 1087, 43927, 245, 1874, 40010, 227, 22480, 90285, 48212, 6, 4, 98957, 29, 202123, 41747, 64107, 103, 153470, 28727, 29, 6, 175154, 6, 4, 13192, 35669, 407, 529, 65111, 45073, 89, 9553, 60769, 44, 118697, 227, 255, 4682, 1891, 44, 152, 529, 2325, 11355, 2233, 255, 4682, 2052, 195215, 77, 27710, 223527, 24470, 1126, 119882, 2406, 3429, 10998, 49, 6365, 6, 5, 1382, 2325, 1584, 7638, 29514, 227, 49, 25671, 103, 5434, 2699, 29, 150451, 22480, 90285, 48212, 32529, 135, 218772, 6, 4, 225336, 312, 6, 4, 88228, 2743, 3281, 2519, 35, 1089, 723, 2172, 6, 4, 4222, 4987, 207311, 59, 13192, 124966, 407, 157852, 1993, 64456, 59, 5138, 6, 4, 4703, 29, 116, 38608, 59, 2406, 3429, 10998, 49, 174412, 6, 5, 68406, 185283, 197, 197260, 753, 44821, 11373, 17524, 28727, 29, 6, 175154, 6, 4, 3837, 49, 6, 105362, 103, 98563, 6878, 29, 70428, 380, 177216, 130, 44748, 20, 483, 4, 2525, 84926, 61, 2406, 3429, 2716, 6, 4, 20, 35, 126995, 1725, 129, 133509, 2192, 59915, 6, 5, 70109, 135, 226551, 21013, 60229, 103366, 1039, 20, 1105, 84926, 6, 4, 414, 12826, 30984, 44, 222604, 695, 44, 51879, 6, 4, 718, 105062, 77402, 13287, 90285, 48212, 15, 952, 37654, 1388, 6, 5, 126776, 2582, 8007, 718, 132621, 55034, 245, 4354, 6, 4, 49, 20755, 135, 4703, 30296, 20, 64456, 63892, 195215, 115795, 4684, 33739, 5509, 193184, 529, 22239, 695, 2871, 2562, 22573, 20, 174666, 6, 5, 417, 62399, 129162, 1993, 40010, 227, 22480, 90285, 48212, 214461, 89, 6, 4, 414, 13299, 163832, 80649, 23969, 123954, 811, 39673, 197, 42034, 130, 22480, 90285, 48212, 34526, 176446, 129, 13170, 9571, 2699, 6, 5, 96070, 195215, 9762, 2827, 89, 202253, 551, 44521, 20, 5758, 50123, 111529, 152, 44, 56227, 4768, 6944, 3699, 6, 4, 3077, 2176, 176283, 6, 73485, 16833, 11922, 129, 13170, 44, 6, 5, 96070, 44308, 33070, 148023, 8568, 75579, 27877, 743, 861, 2192, 6, 4, 440, 1951, 64393, 19149, 49, 1741, 14628, 1214, 6, 4, 83694, 6, 4, 414, 108629, 180428, 214318, 3997, 39292, 49, 238359, 1768, 8148, 1203, 4768, 44, 10306, 46414, 32511, 44, 6, 5, 901, 85093, 111853, 53468, 44647, 640, 2257, 15, 13658, 130, 65310, 12635, 31646, 6, 159375, 144981, 1388, 6, 4, 45404, 227, 20065, 4768, 31459, 6, 4, 40553, 169674, 23214, 238359, 1082, 56139, 23896, 25190, 6, 5, 4946, 6, 4, 49328, 30296, 20, 175859, 90285, 48212, 3216, 12504, 77, 139964, 227, 204385, 89, 21013, 827, 29, 33799, 4798, 6, 175154, 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 ]

[ -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100 ]

[ 0, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 94211, 129, 105189, 130, 35, 61066, 1258, 15, 1435, 40048, 1388, 8568, 12425, 1219, 29, 227741, 128530, 8921, 175436, 44, 1089, 124159, 66653, 35, 176335, 983, 49, 211495, 1086, 31131, 97430, 135705, 29, 47388, 6737, 14891, 105855, 115906, 518, 84, 33681, 227, 105189, 29, 104922, 44326, 4485, 11231, 44, 6, 5, 901, 54315, 1258, 1435, 40048, 6, 4, 194356, 13475, 49, 8921, 103, 35556, 3216, 7572, 66639, 94970, 718, 44326, 3455, 29356, 130, 129, 6, 25821, 140444, 66261, 58215, 1082, 6, 105087, 101734, 230366, 1117, 93502, 52500, 6, 87924, 44, 202624, 142384, 68146, 44, 6, 4, 49, 2660, 20068, 35, 1145, 116416, 2958, 44, 67836, 1196, 6, 87924, 44, 6, 5, 417, 74568, 8921, 103, 175436, 5138, 152698, 35, 64388, 33739, 27135, 140129, 35, 103158, 44326, 2958, 64312, 6, 5, 36933, 2574, 6, 4, 196598, 47638, 135705, 29, 47388, 6737, 14891, 105855, 115906, 440, 84, 68628, 44326, 4485, 11231, 105189, 29, 104922, 6, 5, 3858, 67260, 2097, 49, 27833, 155195, 71141, 90890, 129, 8190, 36686, 2151, 20999, 130, 190636, 132284, 227, 424, 163529, 103158, 6, 4, 93118, 59, 17330, 29, 47388, 6737, 14891, 1551, 4798, 134686, 129, 29, 122610, 29, 104922, 6, 5, 41046, 35556, 5058, 212983, 217746, 103158, 6, 4, 93118, 59, 17330, 29, 47388, 6737, 14891, 1551, 4798, 134686, 44326, 2958, 64312, 29, 90938, 123931, 59, 44326, 59, 94788, 14171, 44326, 2958, 44459, 983, 129, 255, 103737, 3433, 7365, 88008, 3455, 32480, 130, 190636, 10094, 6, 4, 3837, 93832, 227, 29, 19011, 77, 22947, 190, 4476, 35, 80649, 4684, 22947, 2699, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 1, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100 ]

[ 0, 183886, 105445, 76588, 42269, 800, 1537, 201629, 328, 6, 4, 27136, 20, 99920, 20, 124698, 174222, 59, 5347, 526, 17831, 105, 328, 4768, 18882, 222611, 20, 49, 236270, 1041, 29933, 153505, 6, 95700, 56746, 6, 4, 30681, 24896, 63671, 71459, 5509, 34909, 35, 227747, 4798, 1741, 6417, 928, 21278, 32100, 29412, 18102, 61, 10633, 35458, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 4060, 29611, 7931, 118833, 31458, 4968, 20127, 123546, 129, 30083, 47435, 122630, 95700, 56746, 6, 4, 3837, 49, 9687, 212, 33394, 38847, 1537, 201629, 328, 84, 12747, 49, 200068, 33862, 244, 91734, 33309, 6878, 135, 30732, 419, 698, 46414, 1196, 162021, 134992, 559, 29, 18081, 358, 21069, 84926, 6, 5, 589, 17944, 74699, 1537, 201629, 328, 1709, 3007, 3988, 22052, 131834, 2562, 89, 33309, 547, 20878, 165952, 124698, 160301, 35, 2557, 15404, 37083, 35, 6, 4, 129, 82191, 3258, 57878, 6, 4, 19870, 44, 11353, 53871, 44, 1714, 13539, 2192, 650, 178611, 1047, 6, 4, 8679, 245, 52667, 73044, 54717, 183, 1739, 140129, 6, 5, 69180, 107475, 24744, 83033, 11004, 2530, 21607, 103, 129, 95700, 26730, 131834, 2562, 89, 6, 4, 9953, 6, 48531, 415, 7204, 45662, 6, 68668, 138466, 35, 123928, 227, 49, 2724, 227, 10849, 6, 5, 4805, 65053, 536, 3007, 10655, 22052, 131834, 2562, 89, 3318, 70491, 212, 6, 4, 9765, 81966, 5719, 63889, 650, 17329, 169344, 695, 6, 103348, 1551, 1270, 146925, 6, 5, 12459, 5063, 1006, 12747, 49, 10586, 11485, 105, 131834, 2562, 89, 4387, 131771, 969, 108410, 105, 35, 235539, 196107, 9309, 14029, 205, 129, 17157, 68737, 25175, 88171, 130, 208161, 6, 4, 49, 2660, 20068, 61, 529, 105, 93553, 103, 49, 105, 100924, 29933, 114884, 14879, 1355, 1006, 6, 5, 417, 252, 7812, 1200, 5434, 2699, 649, 161985, 103, 9694, 6, 24551, 2042, 228980, 4256, 49, 8865, 46414, 8441, 4987, 151609, 5672, 6010, 1355, 25485, 118833, 17575, 107475, 698, 102375, 2699, 130, 12934, 2097, 153775, 6, 4, 45147, 2151, 57414, 861, 2151, 56614, 1258, 6, 4, 25300, 2120, 512, 46603, 197, 49, 31044, 115164, 181255, 20, 188448, 43270, 743, 6, 5, 94273, 1537, 201629, 328, 6, 4, 61185, 59, 19951, 92228, 59, 6, 4, 24111, 591, 197287, 49, 39466, 103, 6, 5, 182740, 45147, 10582, 52516, 8534, 21741, 141679, 174222, 5902, 5328, 1857, 61708, 1323, 19592, 87646, 6, 4, 414, 1203, 811, 526, 2827, 126674, 103, 4988, 32366, 35, 4641, 105445, 208161, 650, 113404, 2946, 1006, 108629, 736, 2493, 73701, 59, 146041, 17575, 23052, 419, 135, 66072, 84, 46225, 3410, 135, 145527, 312, 60050, 227, 18969, 33430, 31264, 8688, 1595, 2958, 35, 6, 60927, 71141, 135419, 559, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 1, -100, -100, -100, 0, -100, 0, -100, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 1, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 1, 0, -100, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 1, -100, 0, 0, -100, -100 ]

[ 0, 8983, 9, 165618, 9880, 244, 19468, 13610, 5593, 56335, 16975, 89, 6, 4, 255, 113830, 13686, 77, 8679, 64393, 46343, 6, 4, 82363, 17330, 1741, 23369, 13953, 193275, 6, 4, 219354, 66815, 2454, 49, 153055, 476, 4256, 20, 124641, 6, 4, 14925, 49, 6, 4256, 1200, 5434, 2699, 145517, 551, 9765, 30161, 22039, 39113, 205, 6, 5, 672, 50487, 312, 77, 66505, 70856, 21967, 12747, 21515, 546, 9765, 60921, 6, 4, 92173, 59, 23969, 49, 110506, 49, 208388, 6, 4, 106064, 4831, 6, 5, 417, 25510, 173061, 534, 4476, 56335, 16975, 89, 12578, 326, 70856, 7898, 148586, 105, 2777, 14, 46048, 20, 28166, 8, 26336, 1229, 969, 83981, 1551, 6, 5, 4531, 53737, 30617, 46343, 4768, 49, 18592, 8165, 20, 129, 1739, 66689, 6, 4, 2792, 7638, 84, 9921, 2582, 227, 49, 83981, 103, 6, 5, 589, 11284, 16266, 61, 811, 41137, 130, 13686, 6, 4, 56985, 1270, 326, 70856, 5902, 6, 103348, 1041, 888, 61, 690, 6, 4, 414, 1266, 77, 108650, 24111, 695, 9287, 213229, 35, 46343, 6, 4, 1266, 30352, 14982, 29, 35130, 31514, 10130, 49, 148586, 105, 6, 5, 72504, 640, 77, 61, 7812, 4653, 546, 9765, 3926, 185945, 6, 4, 252, 43525, 148586, 59, 5712, 43097, 3844, 9765, 11978, 24898, 6, 5, 46484, 8207, 129, 591, 9685, 33394, 2582, 4256, 6, 4, 56335, 16975, 89, 22947, 36329, 227, 10094, 591, 35308, 29, 94364, 103, 6, 5, 417, 27898, 8165, 1266, 236654, 49, 33240, 16868, 205, 20151, 6, 5, 19493, 180273, 49, 46484, 49, 28506, 6, 4, 61, 19149, 49, 89735, 8007, 244, 6, 4, 171715, 59, 17330, 718, 3913, 44338, 66261, 10416, 74431, 695, 20878, 46484, 419, 53001, 59, 6, 4, 4387, 12934, 303, 22776, 2542, 6, 5, 209047, 49, 131656, 6, 4, 10604, 4286, 27663, 1214, 6, 4, 35, 6, 4, 86326, 6, 4, 49, 153055, 3281, 89, 6, 4, 150120, 4387, 23793, 5192, 819, 70048, 6, 4, 77, 8679, 73429, 30161, 59, 22039, 39113, 205, 6, 5, 56335, 16975, 89, 128089, 6527, 98962, 39540, 71972, 49, 33240, 16868, 205, 20151, 6, 4, 779, 1739, 77, 49, 139362, 6, 5, 44, 50876, 784, 9647, 66815, 2454, 6, 4, 36182, 30687, 44, 6, 4, 20, 13398, 56335, 16975, 89, 6, 5, 44, 64923, 6, 4, 784, 165616, 4401, 326, 84282, 4256, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 417, 72337, 15599, 8604, 4135, 53871, 43460, 100194, 197933, 559, 6, 4, 82417, 63640, 969, 181572, 14098, 137474, 25706, 1055, 6, 5, 17667, 312, 120006, 312, 1725, 37793, 7613, 25254, 43801, 14122, 21674, 20, 12860, 6, 242266, 49, 132653, 135, 326, 136777, 10573, 245, 29, 229110, 6, 5, 213409, 59, 130231, 59, 29, 33981, 25768, 928, 6, 4, 49, 19812, 81350, 1951, 10041, 6, 4, 414, 43801, 14122, 4387, 165200, 518, 2574, 6, 4, 3077, 44, 80077, 134222, 969, 3670, 63775, 49, 56643, 6, 4, 135, 55351, 652, 111917, 23453, 8808, 120515, 559, 6, 4, 252, 49740, 6, 4, 2176, 29, 1125, 39065, 6, 4, 1203, 120515, 227, 129, 32561, 1343, 29, 3086, 47926, 63892, 18969, 30140, 2687, 44939, 559, 29, 208595, 751, 44, 76719, 345, 39303, 711, 44, 6, 5, 36933, 2574, 6, 4, 43801, 14122, 4485, 751, 124697, 89, 3651, 28, 20, 6648, 15426, 29, 86798, 103, 6, 242266, 6, 5, 167608, 1082, 79523, 142068, 122618, 75190, 37083, 424, 20, 61, 49, 136969, 723, 77, 89476, 6, 4, 35, 129, 70710, 4256, 152067, 6, 242266, 6, 4, 5643, 46249, 49, 38185, 130, 127335, 6, 5, 34257, 77, 22947, 6, 4, 159610, 129, 30762, 1857, 34911, 38519, 41385, 58350, 56279, 86714, 419, 6, 5, 901, 88849, 156966, 751, 135, 5643, 419, 6, 242266, 100194, 345, 78703, 117742, 6880, 4768, 20783, 156804, 65376, 695, 65411, 6, 5, 4946, 6, 4, 4387, 49, 136969, 5004, 5643, 233290, 312, 177326, 89, 23214, 3433, 17524, 196403, 2557, 22573, 6, 4, 4851, 197933, 227, 5058, 130231, 89, 175300, 12657, 47952, 152, 44, 100458, 226, 49, 14276, 226, 68310, 6, 5, 5187, 197933, 227, 6, 4, 2176, 15303, 77, 518, 2574, 6, 4, 3077, 28037, 12919, 61559, 6, 5, 7796, 15303, 6, 4, 3077, 54982, 1117, 6, 4, 811, 6592, 31728, 35, 204034, 6, 5, 153, 7796, 57876, 78455, 89, 27027, 59, 6, 5, 7796, 45432, 35, 135, 56130, 1595, 690, 6, 4, 414, 6, 4, 129, 86952, 105, 85093, 6, 4, 56032, 35, 135, 56130, 742, 2530, 811, 44, 6, 5, 208494, 1041, 3076, 284, 17854, 111529, 59, 49, 151976, 192129, 24318, 6, 4, 414, 28037, 73044, 61559, 4387, 61506, 52398, 6, 5, 34257, 77, 22947, 6, 4, 3076, 284, 17854, 120549, 135, 33500, 142740, 223266, 98090, 63946, 9704, 751, 6, 5, 59283, 547, 1200, 90845, 3076, 284, 17854, 112378, 57980, 25057, 5090, 49, 71405, 6, 5, 34257, 125326, 14098, 137474, 25706, 1055, 87830, 59, 29, 6304, 95076, 61, 49, 136969, 8635, 179591, 47457, 6, 4, 313, 20, 63438, 35, 56144, 61007, 34798, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 1, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 6, 148940, 3226, 80046, 56110, 4256, 15983, 861, 2697, 105, 180725, 183, 119463, 50406, 35, 50671, 49, 8568, 255, 54023, 106784, 13022, 7765, 25077, 559, 42020, 23248, 61256, 312, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 115165, 83694, 6, 4, 414, 41976, 175030, 51452, 77, 3150, 44, 129, 218887, 88386, 99598, 150527, 13237, 138636, 44, 6, 5, 417, 131509, 6, 4, 84014, 15983, 861, 2697, 6, 4, 25157, 50671, 255, 54023, 106784, 13022, 7765, 25077, 559, 49637, 32622, 31224, 6, 5, 21199, 1725, 529, 28579, 59585, 129, 89993, 130, 135, 25077, 1281, 49, 193868, 4798, 16372, 1719, 77, 235129, 197, 6, 4, 40553, 42420, 29751, 44, 44265, 1656, 152781, 2868, 16176, 25077, 424, 5138, 43244, 695, 33325, 59, 214463, 559, 44, 6, 5, 3499, 8778, 424, 37655, 44, 77, 105, 11485, 1196, 22645, 559, 44, 77, 16247, 19408, 812, 6, 4, 111529, 56110, 983, 15983, 861, 2697, 6, 5, 672, 118816, 512, 6, 4, 49, 105412, 244, 151263, 51452, 11053, 19149, 8808, 214463, 559, 6, 5, 44, 417, 4988, 2172, 7904, 5328, 77, 3318, 47525, 38952, 16176, 64388, 4968, 6794, 2192, 25077, 44, 6, 4, 20, 143675, 1266, 6, 5, 1435, 11185, 80046, 38854, 152, 43993, 204051, 312, 22645, 105, 58953, 29, 16122, 33372, 151263, 175030, 51452, 19147, 2294, 49922, 222676, 1813, 723, 2697, 6, 5, 417, 10757, 20755, 56110, 983, 15983, 861, 2697, 4768, 1080, 214461, 6, 4, 414, 77, 69695, 811, 66406, 13953, 8914, 22645, 67787, 6, 4, 2696, 9765, 199544, 69306, 3410, 45440, 1521, 2097, 1813, 723, 7343, 16176, 9661, 53173, 6, 5, 2 ]

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

[ -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 70109, 115165, 80046, 56110, 983, 15983, 861, 2697, 181866, 6365, 84242, 20, 9765, 90216, 10041, 12069, 2699, 6, 5, 20224, 105526, 650, 983, 5902, 16286, 62640, 2578, 2716, 52442, 113932, 115165, 105, 104289, 27183, 6, 5, 1721, 652, 1394, 529, 9945, 2549, 163955, 1082, 115165, 59, 87543, 99251, 89, 21990, 6, 4, 31843, 66751, 59, 71662, 244, 21259, 6, 4, 5058, 113932, 23294, 56110, 4256, 114548, 861, 2697, 105, 160466, 120553, 18293, 50606, 1719, 49, 20755, 135, 1739, 132709, 84242, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 2, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100 ]

[ 0, 120109, 233748, 2151, 129, 8790, 1794, 11312, 11849, 74019, 2958, 171308, 29532, 183, 13510, 48520, 21515, 6527, 108629, 736, 1394, 129963, 1857, 27040, 49, 6, 237560, 5902, 8148, 6, 5, 98965, 13385, 6, 4, 47554, 1857, 23294, 8865, 23581, 27673, 2582, 13449, 193182, 44, 97836, 44, 183, 71226, 695, 63283, 59, 83311, 44970, 97727, 4753, 118240, 8871, 184045, 59, 65960, 59, 25043, 38236, 1417, 6, 4, 135, 33846, 48341, 61, 203655, 34622, 57283, 6878, 142861, 174359, 245, 8148, 6, 4, 94347, 75200, 171985, 63671, 49, 11978, 24898, 129963, 227, 424, 66510, 58918, 380, 5341, 103, 14193, 1196, 6, 4, 252, 690, 35, 90208, 3734, 87781, 6, 5, 672, 23294, 45403, 49, 48874, 20765, 25455, 6, 4, 90229, 28535, 49, 68642, 44, 129963, 1857, 60637, 89, 30462, 1993, 44, 60229, 1381, 9561, 6, 5, 156087, 5308, 20, 21607, 103, 19878, 6, 5, 1813, 1891, 1857, 84833, 6826, 23633, 129320, 103, 183, 13510, 27183, 216019, 90208, 3734, 1584, 827, 6, 24438, 526, 6467, 129, 4132, 11231, 35, 16739, 23453, 1749, 15891, 17794, 1281, 6, 4, 78536, 111807, 49, 67527, 42953, 36689, 29153, 1196, 49987, 244, 6, 5, 79615, 12826, 33762, 30271, 1196, 129963, 26730, 110468, 12504, 49, 67739, 147620, 13994, 29412, 210275, 244, 177462, 3577, 203746, 6, 5, 24837, 72305, 3433, 24940, 88897, 54307, 1281, 819, 109234, 129320, 103, 6, 5, 5187, 234075, 159610, 6, 4, 25514, 232501, 1009, 183, 201818, 245, 49, 11978, 24898, 77, 20687, 103, 14193, 1196, 129963, 559, 23858, 40403, 73429, 80532, 201499, 63214, 10948, 197, 225697, 1196, 33641, 3407, 38850, 20, 173387, 227, 6, 4, 1093, 18954, 1874, 6, 4, 21302, 227, 6, 5, 589, 5347, 1625, 387, 1745, 57283, 125867, 61, 203655, 34622, 46, 56583, 35, 969, 45426, 751, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 1, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 3499, 13539, 3997, 49, 229110, 29, 98101, 1993, 8983, 9, 312, 20, 35, 222255, 49, 3920, 21714, 103, 20, 119906, 1768, 17066, 20545, 24438, 89, 78305, 6, 4, 119906, 4018, 34078, 1041, 78305, 5957, 85037, 89, 158603, 303, 39775, 7846, 718, 811, 18954, 1269, 4866, 1768, 57615, 49, 51752, 55134, 1270, 49, 74546, 91917, 59, 49, 7843, 11284, 22480, 6, 4, 4851, 529, 48981, 72942, 142598, 4988, 227500, 6, 5, 5957, 15052, 158603, 303, 214461, 6, 4, 414, 76903, 8679, 546, 7900, 48618, 6, 4, 4222, 78305, 77, 208902, 126995, 62344, 3795, 4866, 4798, 116731, 20, 1145, 6, 4, 20292, 652, 34358, 90984, 59650, 49, 167313, 24809, 4256, 5712, 77, 2120, 6, 231378, 28832, 197, 80643, 419, 79449, 34911, 6, 5, 119906, 4018, 34078, 1041, 57231, 132849, 547, 35734, 41736, 2052, 743, 44, 142774, 4018, 12049, 44, 20, 29, 2052, 652, 72907, 989, 29, 10262, 244, 105539, 8830, 1794, 24499, 100910, 22959, 78305, 49, 6, 191210, 419, 50195, 55809, 6, 4, 36182, 55134, 1874, 147000, 7638, 125970, 227, 2530, 3738, 78601, 245, 214031, 89, 6, 5, 5957, 15052, 158603, 303, 5058, 111529, 6, 4, 414, 85645, 103, 49, 74546, 123546, 78305, 9395, 222255, 30140, 1768, 35, 129, 115834, 3549, 31969, 2574, 6, 4, 414, 78305, 77, 208902, 230366, 1117, 81985, 5999, 14722, 49, 73869, 244, 98732, 72539, 26087, 1281, 6, 5, 185020, 135, 6010, 119906, 4018, 34078, 1041, 78305, 155195, 547, 6, 4, 414, 518, 22480, 6, 4, 3837, 529, 48981, 32942, 142598, 4988, 18969, 22776, 6, 4, 22498, 14086, 1752, 151187, 132128, 6, 4, 819, 44, 42136, 19776, 207893, 44, 637, 44, 43475, 40342, 197516, 44, 6, 4, 7329, 77, 14219, 44, 38503, 312, 61, 4485, 11452, 44, 6, 5, 44, 4805, 51452, 14219, 53891, 6, 4, 414, 44683, 34911, 3150, 149843, 61949, 4988, 5308, 73869, 103, 20850, 6, 4, 3077, 197260, 142598, 4988, 227500, 6, 4, 11922, 51452, 77, 14219, 440, 227014, 718, 62344, 2151, 27404, 50786, 2097, 130, 49, 109779, 103, 29, 44, 649, 46235, 3795, 31264, 698, 125802, 124966, 44, 6, 4, 20, 83694, 1266, 6, 5, 48122, 23369, 78305, 214461, 6, 4, 414, 44, 205045, 245, 11968, 40542, 94431, 49, 45044, 129, 14276, 13701, 6, 83389, 207893, 59, 3318, 326, 78474, 92031, 105280, 89, 529, 6, 4446, 55848, 77881, 185161, 35, 5712, 135, 49, 42545, 1125, 1447, 58706, 44, 6, 4, 779, 6010, 77, 22947, 6, 4, 44, 1097, 11968, 40542, 8007, 6, 4, 40473, 2176, 13995, 146038, 85896, 44, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 1, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 1, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 1, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 128699, 419, 49, 1450, 957, 64393, 158263, 99920, 20, 40010, 9403, 21996, 27910, 29, 91821, 103, 135, 40010, 419, 66699, 65960, 419, 61045, 103355, 55994, 35, 107043, 20, 115165, 419, 417, 43223, 15459, 1711, 10604, 1857, 589, 3806, 97440, 1768, 228226, 61319, 407, 233995, 89, 145583, 130, 8568, 836, 119882, 28403, 518, 218529, 6, 103737, 312, 40687, 114872, 130, 90229, 28535, 35, 232501, 1595, 49, 41841, 184104, 39255, 86672, 49, 417, 43223, 15459, 4446, 6, 4, 20, 106064, 193182, 44, 97836, 44, 6, 5, 2857, 2188, 20, 115165, 59, 417, 43223, 15459, 1711, 185278, 6, 4, 414, 89359, 29611, 9159, 24192, 10416, 91917, 105, 61, 98573, 2192, 183, 150558, 29, 591, 4401, 5013, 1086, 80319, 13701, 179441, 104000, 6, 5, 10604, 212, 31866, 33066, 7343, 61, 3806, 6880, 6, 4, 414, 11922, 11875, 213886, 222, 29, 226498, 194849, 312, 40687, 232501, 1595, 6, 5, 901, 66689, 589, 3806, 97440, 1768, 6, 4, 21996, 27910, 79015, 6, 4, 414, 207926, 197, 35, 128815, 128530, 407, 233995, 89, 18102, 29, 34526, 12758, 145972, 8979, 49, 417, 43223, 15459, 4446, 6, 4, 41346, 6, 81660, 36274, 29, 187928, 2715, 3318, 158369, 989, 44, 326, 90984, 4798, 44515, 44, 6, 4, 1145, 44818, 67298, 12504, 20, 194849, 81871, 57709, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, 0, 1, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 1, -100, 0, -100, 1, 0, -100, 1, -100, 0, -100, 1, 0, -100, 1, 0, -100, 1, 0, -100, 1, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 1, 0, -100, 1, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 1, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 6, 182678, 227, 43475, 20, 103089, 44, 55270, 59344, 6794, 751, 44, 78536, 6878, 49, 34992, 13701, 76097, 2542, 81491, 131656, 49, 83891, 103, 29, 238270, 129, 44, 87149, 103, 3576, 44, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 8664, 85124, 20, 34078, 245, 164299, 76097, 2542, 81491, 51233, 33795, 103, 677, 4946, 103, 6, 4, 47435, 89244, 424, 4560, 62156, 6, 4, 8568, 6, 4, 93224, 227, 6, 4, 14560, 6, 4, 175857, 6, 4, 231547, 6, 4, 85028, 89, 35, 37724, 1993, 198497, 13287, 44, 21726, 148819, 1203, 84820, 103, 167781, 6, 4, 3077, 13524, 13713, 3410, 168285, 218698, 518, 6826, 6, 4, 40473, 489, 1343, 49, 3651, 5712, 92084, 47265, 19724, 13702, 751, 49, 105975, 124998, 6, 195172, 2364, 44, 6, 5, 901, 66689, 4946, 103, 6, 4, 6314, 60407, 88210, 66129, 61453, 44, 77, 512, 9753, 3795, 90466, 44, 6, 4, 14925, 3318, 96012, 160343, 1203, 84820, 103, 33689, 29, 415, 957, 336, 35, 94454, 3738, 33372, 526, 10582, 779, 1891, 6, 5, 589, 10757, 66072, 14909, 123942, 111712, 529, 7762, 8688, 2151, 8544, 419, 6, 4, 234577, 89, 237041, 1281, 35, 128530, 827, 175857, 6, 4, 14560, 35, 231547, 6, 5, 70302, 6010, 6, 4, 107544, 148177, 103, 13842, 131656, 35, 9977, 22480, 44, 59344, 6794, 751, 44, 232516, 89, 29, 3699, 45256, 59, 227500, 49, 121250, 21069, 103, 59658, 103, 114191, 197260, 31096, 29692, 227, 8808, 80814, 1196, 46950, 5573, 37083, 6, 5, 417, 71007, 6, 4, 128628, 47265, 159610, 97062, 6, 4, 414, 62344, 2192, 44, 23052, 110161, 1857, 34911, 44, 15856, 3505, 104650, 29, 1203, 326, 40342, 35, 207112, 103, 192135, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, 0, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, 1, -100, -100, 2, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 1, -100, -100, 2, -100, 2, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 1, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100 ]

[ 0, 417, 1450, 957, 64393, 158263, 49, 64230, 103, 31458, 989, 120023, 61373, 196107, 86951, 44, 4056, 24214, 40342, 31465, 1584, 4988, 7244, 89499, 6, 5, 44, 6, 4, 518, 73747, 989, 135, 25562, 9571, 2699, 6, 5, 4056, 24214, 40342, 31465, 1584, 163364, 49, 18720, 132943, 76097, 2542, 6, 743, 2509, 8441, 9439, 130, 100895, 35, 129, 1085, 328, 88164, 13237, 208161, 7244, 49, 150574, 1993, 14448, 21408, 85193, 44494, 6, 105087, 15, 84, 215592, 255, 546, 49, 2510, 1745, 56139, 179239, 1196, 8269, 6, 4, 54592, 255, 11360, 235552, 90898, 29, 68096, 179239, 1196, 8269, 518, 811, 82988, 46221, 124551, 59, 10086, 98224, 6, 4, 197604, 152675, 61, 5347, 72192, 28727, 29, 13237, 39084, 1874, 157661, 6, 4, 226498, 30037, 17425, 29, 24605, 559, 6, 4, 44, 77, 5141, 59650, 44, 718, 14448, 1455, 380, 40924, 6194, 154327, 1041, 11312, 6, 4, 35, 1145, 82871, 1388, 6, 5, 179296, 227, 7244, 6, 4, 529, 14879, 22239, 6, 4, 98962, 183, 3806, 29034, 1203, 208161, 35, 49, 194539, 1080, 190369, 6, 4, 414, 77, 15891, 48766, 197, 29, 85286, 196666, 16642, 61, 690, 6, 4, 414, 2732, 185291, 6, 5, 5187, 106064, 3336, 297, 1833, 6, 4, 30321, 17471, 184340, 121706, 58877, 526, 168641, 6546, 6, 4, 969, 23434, 652, 160309, 173545, 197, 42566, 6, 4, 131704, 811, 96159, 547, 6, 65184, 1085, 41385, 1009, 45086, 6, 4, 77, 61, 15016, 1688, 14806, 129993, 6, 5, 20555, 29, 78029, 551, 6, 4, 35, 61, 1097, 4641, 151609, 1343, 718, 56614, 105, 6, 5, 20555, 77, 718, 56614, 105, 6, 4, 252, 718, 29, 106261, 86092, 1719, 85488, 20151, 1388, 49, 25510, 196507, 244, 51682, 6, 5, 21199, 77, 132284, 197, 6, 4, 414, 6, 72026, 1996, 5842, 145583, 130, 14560, 35, 7244, 69893, 6439, 4354, 35, 126320, 380, 1741, 17157, 4354, 49, 203898, 21069, 103, 59658, 103, 6, 5, 672, 65111, 677, 15137, 59523, 4684, 6, 4, 414, 71761, 183, 2574, 6, 4, 49, 2390, 18372, 73534, 3318, 205883, 197, 13299, 6, 4, 4988, 2233, 139929, 193547, 1086, 58490, 67754, 13299, 4060, 1041, 89, 168641, 6546, 59, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 1, -100, -100, 0, 0, 0, 0, 1, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 1, 2, 2, 2, 2, 2, 2, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 1, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100 ]

[ 0, 26928, 695, 169489, 62705, 1435, 8113, 1560, 811, 1200, 11892, 424, 969, 72522, 2697, 1270, 48352, 2697, 8809, 35, 87830, 13428, 29, 72886, 43971, 6, 5, 17667, 7330, 4476, 5719, 129, 38505, 105, 25611, 20, 199538, 20, 237252, 20, 72886, 1447, 23457, 6, 4, 35, 12826, 31482, 19306, 6, 4, 3738, 77, 77627, 58953, 61, 15919, 751, 6, 4, 163081, 145517, 551, 6, 130045, 1719, 6, 38491, 11835, 6, 147927, 4018, 115888, 6, 5, 5187, 79015, 89, 49, 128379, 29933, 536, 11185, 37134, 1219, 205, 49, 217601, 6, 4, 414, 1266, 15856, 440, 4682, 1117, 49, 87114, 24410, 2192, 14909, 72886, 9121, 245, 23294, 137060, 129, 690, 18245, 108912, 13686, 6, 4, 690, 3549, 49, 159968, 129, 163955, 4045, 6, 5, 672, 1739, 18999, 1882, 20, 4948, 9561, 35, 201, 174478, 2958, 59095, 89, 6, 5, 213409, 105, 11125, 38664, 87646, 39061, 217163, 131567, 59123, 59, 97331, 99059, 145797, 312, 197530, 93362, 148161, 6, 5, 1382, 811, 7330, 105, 67759, 6878, 5058, 35, 215790, 67142, 751, 6, 4, 779, 127104, 34358, 145583, 75566, 169066, 197, 49, 61070, 2530, 186923, 29751, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, 1, -100, -100, -100, 0, 1, -100, -100, -100, -100, -100, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100 ]

[ 0, 62640, 2578, 2716, 52442, 49, 440, 24178, 22573, 1993, 26034, 1521, 245, 3681, 1768, 5482, 228226, 105, 14539, 407, 109334, 11153, 45073, 89, 151263, 1435, 8113, 1560, 6, 169849, 1768, 41287, 197, 245, 16753, 16286, 1323, 1749, 183704, 35, 118176, 1316, 130, 6, 4, 49865, 5969, 1874, 440, 164411, 1993, 326, 89, 94738, 39129, 680, 49, 6, 30902, 127949, 95495, 33111, 6, 5, 5187, 79015, 193182, 44, 97836, 44, 79171, 20, 34078, 1041, 151263, 695, 2871, 2562, 2542, 154888, 4910, 136458, 303, 6, 4, 62640, 2578, 2716, 52442, 228226, 5058, 61319, 2732, 18143, 861, 45073, 89, 47435, 102445, 1435, 8113, 1560, 126795, 1281, 35, 71194, 16662, 61, 1719, 183704, 6, 4, 183, 1120, 5482, 35, 1400, 512, 3806, 861, 124966, 6, 4, 49865, 5969, 1874, 440, 5347, 35333, 56254, 179337, 61, 677, 1394, 6, 4, 119436, 135, 39080, 419, 518, 10094, 6, 5, 119123, 1435, 8113, 1560, 255, 48034, 547, 13022, 105, 407, 68642, 34526, 12758, 139425, 19421, 49, 22474, 3806, 476, 28535, 989, 90984, 61405, 743, 3577, 32822, 2697, 1537, 512, 52926, 7898, 35, 5561, 53352, 4853, 7898, 168731, 1214, 1721, 1521, 5573, 59, 6, 5, 5188, 3920, 87543, 3681, 1768, 5482, 79015, 6, 4, 183, 2743, 65915, 29, 2325, 55682, 193182, 44, 97836, 44, 3738, 148994, 135, 13022, 419, 6, 5, 68406, 8979, 6, 4, 129, 1739, 66689, 6, 4, 44, 35, 33364, 129, 74553, 49, 20960, 135, 128815, 130, 128530, 44, 6, 5, 96070, 591, 195996, 53871, 180382, 51452, 407, 22156, 1435, 8113, 1560, 49, 92736, 312, 38060, 2687, 6, 4, 4851, 201, 67165, 49, 41841, 223829, 59, 4387, 1080, 79734, 37675, 1768, 12164, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 1, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 1, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 1, -100, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100 ]

[ 0, 75150, 12635, 69765, 114333, 969, 15919, 7310, 122147, 164117, 152, 44, 61, 44, 591, 67492, 62852, 6, 122381, 9561, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 49, 69765, 103, 241820, 989, 16206, 29, 690, 6, 4, 414, 94211, 197530, 8568, 35, 22238, 141036, 29306, 76122, 208350, 12747, 6, 4, 49, 12703, 200438, 50370, 62739, 59, 326, 103342, 41822, 6, 4, 49, 81985, 94970, 61319, 559, 50406, 30296, 18315, 361, 3742, 183, 611, 25562, 11891, 2699, 35, 18315, 702, 13683, 183, 1662, 53754, 9571, 2699, 116069, 4684, 85645, 21465, 3735, 36689, 20, 171715, 26730, 518, 109677, 36334, 49, 40238, 127796, 1196, 44267, 559, 35, 518, 127435, 49, 3577, 103, 29532, 20850, 244, 1093, 1725, 78601, 245, 6, 5, 5187, 181866, 989, 49, 13053, 103, 6, 4, 44, 45723, 7900, 78136, 6, 4, 4222, 52353, 68919, 21465, 3735, 44653, 116069, 6878, 518, 127435, 49, 3577, 103, 29532, 20850, 244, 49, 19877, 1521, 89504, 94454, 135, 171715, 1196, 165108, 44, 6, 5, 44, 50006, 1117, 52353, 68919, 21465, 3735, 36689, 6, 4, 33520, 1196, 49, 1721, 1521, 5573, 6, 4, 129, 39730, 13237, 11420, 50628, 227, 22474, 193184, 130, 529, 22239, 31915, 68146, 44, 6, 4, 20, 181866, 989, 49, 69765, 103, 6, 5, 44, 417, 38849, 5930, 5969, 5509, 202123, 1595, 811, 121973, 130, 157592, 39300, 91917, 59, 8568, 407, 2660, 6, 4, 414, 123093, 227, 6, 4, 90402, 170237, 326, 113447, 56162, 105, 129, 171715, 105, 6, 4, 6, 81858, 4684, 14357, 85645, 21465, 3735, 36689, 6, 4, 135, 109225, 1323, 13713, 56279, 73869, 103, 58514, 227, 6, 4, 94211, 197530, 49, 212958, 41747, 3699, 49, 81985, 77, 2530, 30984, 212, 39673, 1196, 61319, 559, 114027, 59, 6, 4, 779, 35, 172365, 212855, 202345, 68604, 6, 4, 116069, 1730, 518, 127435, 49, 3577, 103, 29532, 20850, 244, 49, 1721, 1521, 89504, 52353, 68919, 21465, 3735, 36689, 6, 4, 591, 121760, 63671, 22947, 5691, 244, 51682, 44, 6, 4, 20, 969, 119509, 88897, 49, 69765, 103, 6, 5, 233070, 6, 4, 414, 29, 10262, 244, 20070, 225337, 59, 3216, 70222, 238725, 3410, 171715, 49, 51464, 4256, 29, 30724, 141272, 89, 49, 20755, 135, 1670, 56300, 743, 49, 1721, 1521, 89504, 20803, 14423, 6168, 155777, 424, 225337, 59, 6, 5, 44, 7762, 130, 158549, 130, 201971, 77, 1145, 26124, 183, 220442, 18969, 3429, 1447, 1343, 29, 203981, 6, 4, 779, 77, 11064, 255, 6592, 677, 2454, 6, 4, 3077, 223829, 227, 157599, 49, 117037, 60985, 103, 16286, 830, 9, 13398, 1266, 6, 5, 70302, 6010, 223878, 559, 5058, 83694, 6, 4, 414, 187302, 13299, 49, 78317, 1993, 159669, 6, 4, 44, 3837, 2294, 49827, 546, 16176, 189604, 4798, 6871, 827, 743, 6, 208229, 6, 4, 74576, 1857, 44, 6, 5, 44, 150236, 207926, 2151, 184104, 1258, 13995, 49675, 197, 135977, 75748, 147510, 32631, 47853, 54976, 326, 40342, 830, 9, 38854, 87474, 56590, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, -100, 2, -100, 2, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 1, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 1, -100, 2, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 1, 0, 0, 0, -100, 0, -100, -100, -100, 1, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100 ]

[ 0, 10405, 29864, 415, 718, 209714, 33372, 42420, 78785, 21059, 59, 6, 4, 35, 4301, 13110, 1281, 29725, 237748, 89, 49, 229110, 5606, 147251, 559, 52500, 193240, 8568, 6, 4, 44, 35253, 112562, 59, 44, 6, 5, 5188, 3920, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 180382, 91791, 25043, 32100, 8809, 88269, 1270, 103380, 89837, 181982, 2946, 6, 5, 33317, 103, 42420, 130914, 153558, 2715, 11004, 58918, 380, 22002, 380, 44213, 63162, 23574, 78285, 56804, 130, 44, 56639, 3280, 44, 6, 5, 22146, 9228, 212, 54412, 88650, 3107, 86079, 2715, 44, 30236, 1203, 13237, 66855, 6, 4, 31084, 35, 124582, 6, 4, 3077, 96924, 58431, 1196, 35, 153712, 2958, 6826, 44, 49, 193868, 4798, 34879, 1719, 6, 5, 901, 66689, 181982, 2946, 6, 4, 29, 141140, 6365, 718, 35734, 153558, 4256, 3216, 440, 170225, 10041, 5138, 836, 103089, 79449, 16286, 6, 5, 85191, 38664, 3410, 141036, 19776, 55677, 115412, 107985, 21059, 59, 125271, 89, 137986, 111720, 129, 6, 237037, 3455, 39292, 130, 9403, 26034, 1521, 743, 3681, 1768, 5482, 6, 5, 901, 85093, 89837, 181982, 2946, 6, 4, 1097, 64787, 6, 4, 63314, 8118, 6, 4, 3318, 102823, 6, 5, 672, 65111, 677, 15137, 183, 56894, 4684, 6, 4, 414, 63889, 21059, 20, 145089, 153558, 2715, 6, 4, 159069, 75586, 29725, 76784, 5719, 94454, 424, 201971, 6, 5, 901, 66689, 147251, 59, 32857, 5902, 8148, 89837, 14853, 1976, 44806, 6, 4, 44, 27830, 40665, 125115, 1203, 130380, 155171, 49, 41796, 244, 44, 35, 6, 4, 129, 1739, 85093, 6, 4, 44, 440, 18036, 124998, 21059, 59, 718, 65562, 9072, 440, 76791, 27731, 77, 2530, 27984, 54976, 31843, 227, 6, 4, 779, 35, 22238, 85096, 103, 35, 151524, 77472, 49, 8568, 9542, 44, 6, 5, 22146, 9228, 212, 7365, 25043, 32100, 751, 40331, 181982, 559, 5058, 136720, 6, 4, 414, 63889, 21059, 44, 49, 152280, 103, 3699, 38519, 46896, 222, 211783, 743, 189495, 21259, 8568, 44, 6, 5, 901, 87037, 130, 804, 72359, 20, 36690, 45961, 6, 4, 40010, 1435, 8113, 1560, 4768, 77, 55800, 187738, 695, 154669, 29, 64787, 11125, 38664, 3410, 56804, 44, 56639, 3280, 44, 6, 4, 779, 84014, 6, 4, 414, 44, 54982, 1117, 529, 22239, 61, 591, 9685, 124387, 1595, 158802, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 1, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 1, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100 ]

[ 0, 417, 62994, 21607, 312, 928, 31843, 559, 59156, 18846, 4286, 34664, 176699, 22645, 559, 49, 226519, 227, 183, 42420, 78785, 21059, 59, 44, 189604, 983, 59156, 50917, 2192, 55692, 58, 2325, 27465, 31843, 61708, 87543, 126770, 105, 14480, 6, 4, 2294, 64393, 23241, 1382, 3122, 2632, 86230, 69086, 197, 5930, 6, 4, 217163, 2262, 2687, 1125, 205, 2033, 6, 203632, 86230, 130392, 6, 5, 5188, 3920, 79015, 8865, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 6, 4, 98084, 99582, 407, 61, 3806, 65639, 736, 39065, 326, 158263, 141680, 419, 135, 110506, 103, 6, 203632, 6, 4, 79171, 20, 34078, 1041, 26034, 1521, 245, 22570, 5013, 49326, 6, 5, 901, 1739, 66689, 6, 4, 59156, 18846, 4286, 50560, 55677, 22645, 559, 49, 226519, 227, 238453, 227, 3318, 33520, 49, 5561, 52619, 1039, 67165, 6, 5, 189604, 983, 59156, 50917, 2192, 55692, 819, 181255, 20, 6, 145527, 103, 56804, 4387, 79115, 12672, 419, 65346, 1082, 79449, 221371, 26034, 1521, 1551, 126770, 41221, 2151, 129, 94687, 103, 194230, 141558, 221371, 20, 103089, 33567, 5902, 47435, 44, 39749, 44, 6, 5, 6, 162437, 45939, 78835, 74958, 54064, 7031, 49, 52429, 1381, 60115, 12898, 2699, 6, 5, 10405, 8492, 4544, 20, 29, 33981, 6, 203632, 59, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 1, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 1, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 1, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 1, -100, -100, 0, -100, 1, 2, 2, -100, 0, -100, 1, -100, 0, -100, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 1, -100, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 1, -100, 2, -100, 0, -100, -100 ]

[ 0, 1087, 160031, 101756, 141536, 89, 1085, 175414, 49, 6304, 3738, 1086, 19890, 89, 216041, 29, 5308, 29, 50487, 312, 77, 66505, 25982, 5192, 222, 39255, 84, 103300, 59, 4560, 1219, 28908, 6, 4, 819, 326, 158263, 172500, 128082, 36553, 59, 6, 4, 29, 9661, 1080, 135, 180774, 6, 4, 20, 27890, 30085, 303, 29170, 2827, 6, 5, 4531, 2511, 2827, 103886, 29, 6, 743, 861, 1874, 16229, 227, 16443, 205, 135, 9880, 35866, 415, 94738, 61, 16760, 6, 4, 100288, 245, 135, 22615, 6, 14709, 303, 145787, 82305, 89, 35, 137689, 652, 50560, 180054, 6, 4, 136647, 29725, 93673, 551, 16846, 805, 184516, 559, 49, 2707, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 49, 110642, 16266, 205, 1087, 312, 56081, 650, 811, 100619, 9953, 5316, 33930, 407, 36792, 2697, 6, 5, 417, 44912, 103, 36606, 2716, 4184, 3216, 61, 33070, 38482, 212669, 496, 55013, 6, 5, 22146, 9228, 212, 7365, 141536, 89, 1085, 1729, 99437, 1447, 10962, 736, 4768, 49, 229110, 206096, 407, 216019, 312, 33111, 49, 9103, 424, 12661, 44912, 559, 16443, 205, 6, 5, 92873, 89, 101688, 227, 49, 72305, 110161, 1857, 149001, 89, 211398, 186397, 1070, 112298, 1993, 6, 5, 27541, 94788, 440, 34959, 146025, 177237, 147287, 1488, 2380, 7533, 43917, 27731, 9037, 35, 117308, 84, 35458, 40729, 49, 37156, 1196, 161057, 6, 5, 2842, 158263, 7638, 202875, 46997, 49, 171410, 63601, 6346, 205, 6, 4, 188914, 20, 76813, 31126, 6, 4, 4328, 44379, 6, 4, 160052, 650, 10698, 197, 6, 5, 1087, 5711, 546, 141036, 29306, 72767, 6, 5, 901, 38319, 312, 30826, 75541, 148586, 559, 183, 1488, 3107, 1203, 110400, 227, 6, 5, 901, 147587, 130, 18872, 112395, 92261, 6, 4, 29170, 546, 23294, 1741, 2687, 39140, 41362, 141536, 89, 2395, 35, 44, 61, 84808, 25126, 44, 4851, 20, 6, 23257, 2511, 12489, 827, 167386, 39255, 85169, 59, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 1, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 6, 186143, 29, 387, 20, 714, 1745, 163637, 8941, 79225, 29, 96343, 6, 5, 1721, 38964, 6, 126794, 4026, 149601, 49, 141011, 238359, 1768, 13117, 44, 95723, 5482, 65347, 3988, 226, 49205, 44, 6, 5, 901, 147587, 130, 43086, 559, 6, 4, 79225, 29, 8898, 2757, 65310, 7765, 6, 51756, 1560, 43801, 7330, 1343, 4296, 31104, 20, 25748, 3738, 2574, 6, 4, 819, 14219, 70976, 9302, 14582, 77, 56505, 2715, 54883, 227, 105897, 1120, 6, 5, 80773, 96343, 536, 89, 9, 12231, 3318, 18510, 1041, 49, 6, 186143, 77, 22947, 361, 28403, 61, 182903, 6, 4, 536, 89, 9, 11835, 20, 9953, 190, 28403, 6, 4, 4476, 17260, 144448, 120181, 9471, 28671, 20, 57457, 44791, 28403, 6, 5, 2 ]

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

[ -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0 ]

[ 0, 44683, 198504, 312, 16372, 8635, 109810, 13299, 3433, 122894, 23294, 49, 43136, 226, 128815, 6, 4, 78467, 5509, 135, 68487, 39242, 33372, 53979, 106828, 89, 44, 127193, 175154, 44, 6, 5, 110869, 207926, 197, 18901, 26054, 4281, 65506, 1281, 20, 129, 68576, 6, 4, 138900, 89, 35, 6, 201256, 50786, 147149, 6, 4, 129, 167137, 35, 129, 149178, 91082, 6, 5, 5187, 79015, 200093, 6, 30363, 8809, 147459, 129, 25821, 25337, 4544, 93362, 10962, 358, 1068, 6, 4, 49, 8921, 103, 175436, 16372, 8635, 14628, 21452, 6, 4, 414, 44, 68487, 2715, 33372, 53979, 44, 127193, 175154, 44, 50487, 2042, 102520, 103, 6, 4, 220438, 105855, 50370, 44, 1089, 176335, 1114, 244, 35, 17512, 103, 46221, 244, 718, 73330, 44, 1089, 138900, 89, 44, 6, 4, 7176, 6, 235138, 234438, 29, 162247, 529, 37682, 7044, 103254, 2151, 43475, 83118, 28059, 419, 44, 6, 5, 21199, 6, 4, 214461, 10962, 358, 1068, 6, 4, 44, 2176, 3216, 424, 92161, 9661, 13962, 35, 105, 32155, 35669, 6, 4, 414, 44, 127193, 175154, 44, 18135, 4948, 97513, 6, 83389, 415, 30943, 551, 35, 714, 97513, 20, 5934, 1270, 6, 5, 25369, 68487, 2715, 33372, 208151, 59, 23494, 2120, 2294, 39768, 1041, 49, 20960, 135, 50370, 58, 28936, 77830, 1196, 49962, 244, 44, 6, 4, 61319, 3844, 33567, 6, 5, 44, 417, 62399, 2042, 12758, 90679, 2176, 21726, 1595, 145583, 55389, 68487, 2715, 1521, 14307, 34664, 53979, 49, 20960, 135, 50370, 44, 6, 4, 20, 79971, 3873, 10962, 358, 1068, 6, 5, 12386, 3988, 12204, 222, 13072, 12739, 21990, 35, 27877, 743, 861, 1270, 135, 94284, 2716, 103, 63781, 98260, 56701, 4653, 6527, 49, 150926, 11, 6, 5, 4518, 135, 38306, 33846, 6, 5, 14853, 1417, 120323, 13117, 84014, 6, 4, 414, 44267, 3150, 2042, 60927, 1117, 29, 13299, 195799, 695, 27617, 231951, 35, 23214, 132, 4187, 58382, 6929, 1388, 129, 150340, 407, 6, 81660, 124998, 207112, 15981, 695, 101327, 59, 20, 37224, 36975, 5902, 234497, 1857, 22937, 6, 5, 2578, 58382, 6929, 88650, 14424, 5514, 58350, 124966, 49, 20755, 135, 92358, 827, 93096, 99393, 44, 127193, 175154, 58, 6, 5, 34307, 113932, 129001, 6, 123967, 4256, 94284, 2716, 3407, 105, 135, 591, 4401, 43417, 44, 49, 23334, 10190, 512, 47265, 121690, 232336, 969, 8492, 3795, 42689, 129, 52667, 105, 193385, 244, 128297, 93096, 44, 127193, 336, 139120, 44, 6, 5, 417, 242697, 49, 138249, 44, 804, 328, 3281, 44, 94284, 2716, 3407, 81650, 45440, 476, 66261, 21354, 111035, 5295, 49, 28344, 130, 156796, 103, 1086, 93661, 1214, 18531, 11255, 127879, 138642, 1117, 1739, 49, 6, 103348, 1041, 1719, 44, 637, 16176, 18334, 20, 414, 129, 14553, 3516, 44, 6, 5, 164076, 63111, 2097, 6, 4, 129, 66689, 94284, 2716, 10653, 6, 4, 7638, 23793, 46603, 227, 51270, 419, 18531, 11255, 17999, 1551, 49, 5934, 1857, 100608, 103, 135, 128590, 226, 31224, 44, 127193, 336, 139120, 44, 77, 70225, 43223, 255, 407, 54671, 45662, 71302, 6, 5, 5187, 79015, 89, 193182, 44, 97836, 44, 49, 3732, 95985, 242711, 58, 209472, 336, 139120, 44, 6, 4, 112827, 227, 13117, 1611, 37329, 546, 9953, 387, 208420, 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 ]

[ -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 1, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 1, 0, -100, 1, -100, 0, -100, 1, -100, 0, 1, -100, 2, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 1, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 1, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 1, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100 ]

[ 0, 5074, 811, 128217, 2097, 3732, 6794, 4544, 183, 146023, 1114, 75579, 59, 104122, 59957, 7343, 183, 155006, 115165, 59, 237252, 59, 23294, 49, 17641, 70905, 37609, 17794, 17471, 440, 4682, 551, 64760, 195799, 695, 29440, 49, 42755, 203406, 103, 6, 5, 5188, 36517, 419, 193182, 44, 97836, 44, 79015, 89, 49, 79171, 20, 120606, 7774, 90798, 34879, 8635, 6, 5, 417, 27135, 105677, 326, 27465, 31084, 1874, 112827, 227, 424, 175857, 6, 4, 161099, 1993, 6, 4, 200216, 89, 35, 195799, 695, 66751, 59, 6, 5, 2718, 440, 30732, 1114, 326, 2354, 62721, 213046, 2792, 8679, 546, 148994, 49, 52429, 135, 47659, 1768, 91791, 114027, 59, 6, 4, 109012, 1551, 99352, 1768, 42420, 60769, 105677, 6, 4, 109012, 1551, 65346, 1082, 29440, 6, 5, 5187, 33907, 6, 4, 49, 2038, 34959, 9571, 2699, 75579, 18449, 87865, 2697, 130993, 419, 114027, 59, 8568, 4387, 183, 146023, 183, 33309, 105855, 155006, 49, 20755, 650, 86665, 68752, 89993, 1739, 215012, 29, 163853, 115165, 59, 6, 5, 589, 37329, 245, 6, 4, 414, 1266, 512, 146023, 119880, 6, 4, 2294, 64393, 7877, 197, 73909, 2549, 129, 15512, 29, 62640, 59, 4187, 118036, 8489, 49, 4060, 6, 5, 1813, 217753, 312, 7774, 90798, 6, 4, 252, 49740, 65346, 4018, 4060, 30296, 172847, 47177, 3732, 6794, 9296, 71302, 50406, 6, 5, 21199, 75579, 104122, 59957, 2697, 183935, 989, 135, 129001, 130, 49, 162496, 312, 15, 42755, 203406, 12635, 1388, 4060, 2042, 96824, 5999, 14722, 6, 5, 901, 440, 30732, 4256, 49, 237252, 175859, 105677, 195799, 695, 29440, 16247, 15919, 88426, 183, 6, 31440, 25898, 6, 4, 41346, 190369, 49, 148586, 105, 6, 4, 414, 58, 2354, 62721, 213046, 6, 4, 59543, 169344, 1719, 57231, 40206, 4256, 18731, 2519, 6, 4, 236189, 11373, 72196, 78903, 61453, 33907, 7886, 44, 6, 5, 901, 85093, 103089, 4281, 9685, 79260, 6, 4, 44, 3732, 18655, 11271, 7812, 10347, 49, 1813, 17794, 18654, 591, 80851, 23299, 47627, 94389, 695, 59543, 172770, 8865, 46414, 8441, 35, 48508, 1082, 184204, 141036, 75819, 12747, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 1, -100, -100, 2, 1, -100, -100, -100, 2, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 1, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100 ]

[ 0, 1039, 67165, 135, 361, 31482, 79574, 228999, 114, 48520, 19701, 44624, 89, 35, 16726, 17355, 44624, 89, 6, 4, 3837, 7638, 148577, 227, 43917, 27731, 13237, 9037, 326, 3699, 82427, 4988, 49, 1214, 1862, 33303, 559, 49, 5892, 2562, 5902, 151589, 10962, 312, 38060, 8809, 34710, 6, 4, 75566, 139070, 197, 16247, 55251, 13418, 49, 165323, 1874, 44392, 6, 5, 672, 415, 957, 336, 11922, 65633, 1874, 31818, 227, 7638, 156954, 227, 326, 83118, 31915, 60303, 130, 50492, 130, 145797, 312, 12747, 20, 93142, 130, 35, 6, 42395, 17575, 206318, 130, 194230, 141558, 6, 5, 5187, 529, 109313, 4684, 193182, 44, 97836, 44, 6, 4, 40326, 49, 68642, 61, 45571, 751, 49, 16726, 17355, 44624, 89, 4987, 187110, 59, 35, 49, 27285, 63689, 29, 34898, 22589, 6, 22653, 6, 5, 901, 66689, 131567, 79171, 20, 56869, 195817, 969, 163308, 59, 63091, 8441, 202253, 64284, 2374, 124476, 59, 10653, 6, 4, 76122, 160181, 6674, 14219, 35, 82871, 91528, 1203, 80721, 129, 225498, 34911, 11125, 652, 49817, 43155, 989, 38850, 6, 5, 167620, 202123, 1009, 3577, 103, 29532, 71302, 129, 20, 6, 147944, 46627, 969, 84, 56695, 2151, 16788, 1551, 160227, 41690, 160181, 99059, 6, 4, 58768, 212, 1323, 69, 1521, 5573, 5902, 63091, 8441, 35, 183, 16909, 559, 154381, 6, 85193, 68483, 6, 5, 829, 223746, 79211, 174412, 1741, 63281, 2297, 77, 54982, 10041, 6, 5, 40965, 3997, 235102, 591, 54662, 59, 13746, 125867, 49, 79919, 2225, 1196, 84, 8875, 121729, 35, 29153, 1214, 3577, 32822, 2697, 6, 4, 3318, 169035, 129, 15016, 19739, 6, 4, 214461, 969, 163308, 124476, 59, 3407, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 1, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 1, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100 ]

[ 0, 193868, 3997, 158303, 183, 139633, 551, 23294, 49, 94447, 1068, 226, 13701, 86162, 44, 1089, 124159, 68520, 2297, 718, 109228, 130, 19251, 6, 4, 35389, 6, 4, 25837, 82131, 2509, 1882, 8441, 9403, 44, 6, 5, 829, 67558, 86162, 591, 67492, 79696, 128811, 226519, 6, 4, 4988, 20, 5684, 6, 4, 11125, 15919, 88426, 305, 6, 5, 233070, 6, 4, 414, 518, 7171, 23059, 1114, 68520, 2297, 11053, 29, 107977, 6429, 42777, 173269, 20, 2668, 6, 5, 9436, 1117, 82848, 44712, 66653, 143318, 7031, 49, 3433, 44680, 1993, 1741, 1068, 1951, 6, 224455, 34597, 128530, 9403, 6, 4, 68487, 2715, 29, 165952, 35, 165323, 2715, 183, 155006, 12703, 13022, 419, 9403, 227258, 2530, 135, 78601, 245, 238453, 227, 6, 5, 69180, 28513, 60303, 130, 6429, 127493, 1993, 20, 3580, 72590, 35, 44, 1509, 76591, 197, 44, 20, 6737, 57150, 106380, 6, 4, 414, 14219, 28513, 27224, 4988, 36129, 68520, 2297, 6, 5, 127532, 9694, 100194, 44, 189604, 2715, 27984, 227, 44, 79015, 59, 6, 4, 414, 27965, 226519, 559, 1725, 47435, 3318, 28513, 27224, 44, 61, 44, 6, 4, 27965, 44, 4988, 44, 6, 5, 829, 7171, 23059, 2715, 36129, 68520, 2297, 23793, 37881, 7031, 207175, 76247, 6929, 5840, 6, 4, 536, 18143, 800, 2233, 226519, 9694, 100194, 6, 4, 35, 33567, 9694, 100194, 44, 66916, 197, 139567, 2715, 44, 6, 5, 21199, 129, 95651, 4256, 172105, 536, 18143, 800, 1857, 33567, 5902, 47435, 56891, 56920, 245, 134937, 328, 10966, 6, 4, 7176, 77, 137418, 139566, 230090, 6, 4, 114333, 591, 67492, 62852, 4768, 1080, 6, 4, 529, 159821, 89, 139566, 152, 829, 20, 30183, 141558, 6, 4, 4988, 20, 10149, 6, 4, 11125, 15919, 88426, 20, 190, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 1, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, 1, -100, 2, -100, -100, 0, 1, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 2842, 158263, 169489, 49, 164755, 8808, 6, 213095, 207273, 18449, 19910, 125970, 407, 25821, 4018, 9553, 42754, 38964, 23052, 6, 5, 5188, 3920, 193182, 44, 97836, 44, 83694, 49, 149314, 155980, 143043, 128379, 50406, 8568, 49, 184862, 312, 1089, 88691, 89, 35, 21076, 134980, 17617, 89, 137527, 10032, 38284, 115686, 6, 5, 6, 122163, 4018, 23052, 4387, 125970, 49, 20960, 135, 75096, 147486, 39242, 175030, 128530, 35, 28253, 419, 132782, 43155, 42157, 43996, 7613, 44, 32275, 44, 23241, 20, 9778, 114618, 21996, 419, 28096, 5004, 55994, 6, 5, 589, 5434, 19679, 87114, 24410, 1874, 197516, 18449, 19910, 97062, 989, 41362, 202875, 827, 6, 5, 19711, 23369, 13953, 1725, 44265, 6, 5, 184668, 53440, 202875, 130, 127582, 5058, 6, 147927, 13475, 88122, 2511, 18449, 28196, 312, 6, 5, 1813, 129, 30271, 1269, 1741, 2687, 1068, 1041, 1739, 129, 163453, 226, 5235, 3150, 3505, 98101, 235091, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 1, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 1, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, -100, -100 ]

[ 0, 7762, 8688, 380, 85096, 312, 68081, 130, 100924, 12635, 75812, 1041, 13658, 16868, 19108, 29058, 3007, 59, 49564, 103, 78474, 5642, 6527, 6, 4, 414, 33711, 1730, 233653, 1047, 94768, 37598, 419, 35, 424, 78548, 9880, 35866, 928, 518, 1200, 68483, 35, 227672, 6, 5, 5188, 3920, 79015, 59, 326, 158263, 183283, 65506, 2233, 195386, 3997, 90559, 106922, 529, 237907, 29, 62415, 6168, 205, 75812, 245, 20, 48693, 9154, 29058, 3007, 59, 49564, 76750, 6, 5, 901, 1739, 66689, 6, 4, 75812, 1041, 58, 3806, 103886, 49, 9880, 35866, 928, 6, 4, 40553, 36560, 197, 13553, 50560, 61431, 14357, 8118, 22474, 53085, 9765, 518, 35797, 695, 116239, 35, 227672, 44, 6, 5, 589, 2102, 551, 19951, 29, 44, 73237, 204110, 63946, 89, 44, 6, 4, 90559, 79015, 59, 6, 4, 414, 14905, 9, 165618, 231045, 32631, 115350, 171567, 6304, 63269, 49, 6, 4256, 1200, 5434, 2699, 6, 4, 779, 2042, 48458, 105, 77, 440, 15512, 35734, 100353, 6, 5, 145263, 1739, 72305, 87528, 380, 105, 116917, 4774, 10041, 35, 9765, 110251, 20854, 1068, 1041, 49, 948, 76348, 122202, 6, 4, 1714, 40994, 652, 23262, 2511, 18901, 26054, 85946, 89, 20312, 1281, 35, 84614, 1768, 3928, 1719, 106720, 6, 5, 12459, 2574, 6, 4, 819, 59667, 1891, 193901, 160538, 35, 440, 191709, 718, 6, 117470, 4256, 6, 4, 72305, 15309, 59, 24339, 23633, 241653, 2454, 6, 5, 901, 82191, 116965, 6, 4, 49, 28804, 48295, 231045, 32631, 43917, 41460, 209626, 4256, 35, 169290, 3699, 591, 35308, 49, 9880, 35866, 1269, 6, 5, 145263, 1266, 195206, 14560, 6, 4, 4851, 146617, 35, 46249, 1739, 25713, 76289, 3315, 695, 6, 5, 12459, 5434, 75812, 1041, 42966, 190207, 49, 9880, 35866, 928, 518, 116239, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, 0, 0, 0, 0, 1, -100, 0, -100, 0, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, -100, 0, 0, 1, 2, 2, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100 ]

[ 0, 417, 1450, 957, 64393, 158263, 49, 953, 171410, 207783, 1993, 6, 4, 49, 2660, 20068, 162597, 103, 6, 4, 8534, 21741, 173314, 66751, 61, 143312, 227, 124697, 12561, 1270, 67260, 111807, 143885, 1281, 44, 11271, 650, 42533, 3795, 44, 77873, 20151, 34800, 59, 135, 200879, 130, 183, 119463, 50406, 6, 73153, 18288, 145598, 59, 109619, 47453, 59, 35, 75586, 45256, 1270, 128530, 6, 5, 44, 447, 1611, 6171, 60536, 19306, 6, 4, 255, 49379, 227, 214209, 8118, 16642, 53173, 6, 4, 35, 2176, 13995, 1739, 16176, 44, 6, 4, 20, 83694, 6, 4, 167727, 245, 143885, 49, 162597, 103, 6, 4, 200093, 5506, 1455, 194249, 2155, 5902, 61708, 207783, 1993, 6, 4, 173732, 66751, 59, 61, 143312, 227, 70249, 303, 65629, 15680, 6, 5, 4531, 182860, 49, 1045, 957, 97272, 76240, 105, 162998, 109619, 47453, 59, 112070, 49, 25510, 219191, 93643, 7330, 1114, 94347, 144854, 57615, 6, 4, 49, 41841, 19812, 167313, 24809, 1114, 203556, 49, 113799, 312, 6, 139986, 743, 8441, 35, 29, 164942, 6, 131415, 7774, 1862, 6, 5, 901, 66689, 5758, 640, 2052, 6, 4, 143885, 89, 35, 89735, 8441, 14219, 184951, 989, 255, 11284, 16266, 6, 4, 11004, 77, 14219, 90194, 227, 3146, 74851, 63922, 152, 183, 84609, 145598, 59, 109619, 47453, 59, 6, 4, 100660, 45256, 1270, 128530, 326, 137986, 135, 84108, 419, 146398, 24809, 419, 44822, 11255, 17999, 1551, 35, 112070, 31497, 1196, 37976, 29412, 25077, 559, 6, 5, 901, 82191, 804, 72359, 20, 36690, 45961, 6, 4, 49, 162597, 103, 49, 117237, 11519, 210551, 89, 9953, 714, 21069, 9561, 6, 4, 49, 97321, 103, 20, 209, 21069, 6, 4, 49, 73951, 25459, 20, 62874, 20, 361, 21069, 6, 4, 49, 188927, 65633, 1196, 200190, 49, 117237, 8854, 244, 152505, 19149, 183, 82805, 18081, 255, 82805, 21069, 78290, 6, 5, 143535, 8534, 21741, 13553, 2233, 37078, 20, 207783, 34358, 56804, 6, 136582, 1114, 15, 589, 78832, 1388, 95416, 59, 70873, 14687, 74081, 20, 11004, 49, 143885, 1214, 77, 148400, 1730, 6, 5, 182740, 589, 78832, 111529, 6, 4, 414, 113360, 61, 2325, 3407, 65796, 29, 105412, 244, 6, 4, 252, 77, 29, 93053, 6, 5, 70873, 736, 698, 17999, 82417, 1730, 61, 112070, 255, 54023, 106784, 25077, 559, 29, 37976, 29412, 40238, 35, 969, 16788, 1551, 44431, 51715, 6, 5, 417, 7904, 6, 4, 2696, 12747, 77, 87351, 32369, 181817, 29, 22498, 14496, 6, 4, 70873, 736, 698, 17999, 77, 13524, 39648, 1730, 440, 6346, 24214, 13617, 1739, 61708, 49, 117237, 8854, 244, 34800, 59, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 1, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]

[ 0, 65346, 4018, 4060, 8568, 183, 139633, 547, 102559, 105, 42420, 24339, 6, 4, 161760, 105, 43155, 183, 1488, 227, 51984, 21059, 59, 44, 1089, 226, 48151, 20, 417, 989, 39749, 44, 6, 5, 804, 10849, 4387, 242484, 134382, 21996, 419, 15983, 358, 2151, 6, 4, 82417, 106688, 819, 5934, 5509, 70048, 6, 5, 15983, 14064, 66287, 53871, 8914, 102559, 105, 6010, 6, 4, 414, 47650, 42056, 24192, 44, 29356, 27710, 3505, 150073, 212, 19724, 33635, 17260, 4703, 61, 5532, 255, 230090, 44, 6, 4, 41346, 49, 124387, 41747, 49, 27135, 76591, 59, 56804, 44, 1089, 226, 48151, 44, 6, 4, 27390, 150073, 380, 953, 49588, 52354, 2699, 6, 4, 77, 18135, 6, 4, 129, 1739, 85093, 6, 4, 44, 188765, 244, 42420, 71141, 5999, 650, 72539, 215945, 827, 44, 6, 5, 15983, 14064, 218219, 6, 4, 414, 6, 34474, 47981, 19011, 6346, 10262, 51984, 44, 1089, 226, 98361, 44, 223746, 23299, 77, 61, 6365, 255, 67492, 68146, 6, 4, 819, 2574, 96987, 8044, 6, 4, 252, 6365, 49, 6365, 6, 4, 414, 49675, 55809, 34496, 109228, 130, 2789, 35, 3912, 37762, 407, 105412, 244, 141558, 198504, 312, 16372, 8635, 6, 5, 208494, 89, 44, 1089, 226, 98361, 44, 6, 4, 129, 66689, 804, 72359, 20, 36690, 45961, 6, 4, 135, 38306, 33846, 7638, 193350, 49, 14879, 3732, 226, 6, 5, 6871, 5482, 15114, 36929, 59, 44, 1089, 226, 98361, 44, 4387, 52061, 152, 44, 1087, 85716, 20803, 221941, 244, 6, 10337, 49, 60041, 8165, 44, 6, 4, 20, 13398, 1266, 6, 5, 804, 6467, 33280, 6, 4, 6365, 230090, 20, 953, 49588, 20, 69695, 518, 1089, 59071, 132139, 132709, 181898, 2699, 135, 19679, 51984, 6, 5, 5187, 140950, 49, 201424, 29440, 6, 4, 67589, 90569, 6, 7246, 8470, 49, 105, 18126, 1200, 197265, 89, 102559, 227, 6, 4, 1266, 3150, 1086, 58490, 27224, 1097, 13299, 49, 209889, 59, 157951, 130, 26318, 49, 122394, 13701, 209, 27091, 6, 5, 14853, 698, 220398, 1041, 42420, 78785, 67196, 59, 44, 1089, 226, 98361, 44, 68582, 312, 1537, 48785, 1711, 59131, 6, 4, 414, 84, 6, 7246, 2351, 3549, 1203, 2868, 29, 89448, 2033, 22959, 6, 5, 4531, 77, 13524, 39648, 1730, 6, 4, 414, 14219, 35, 4768, 178245, 35, 1707, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 1, -100, 2, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 1, -100, 2, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100 ]

[ 0, 901, 529, 123813, 20151, 87337, 21153, 2364, 20, 36690, 45961, 6, 4, 326, 158263, 149497, 169489, 6, 210911, 983, 26796, 1857, 132670, 2192, 4060, 969, 200093, 60058, 4060, 1041, 89, 5892, 22617, 46183, 1006, 4328, 56130, 90798, 183, 139633, 547, 79166, 147251, 59, 232765, 1082, 23600, 89837, 16308, 32155, 245, 407, 83280, 90679, 100113, 695, 35736, 49, 180202, 44, 536, 10059, 12635, 94538, 380, 20638, 2192, 224275, 44, 15, 6, 67630, 2426, 1388, 29, 77398, 4476, 35, 157841, 547, 10172, 407, 1739, 195804, 29933, 6, 5, 417, 62399, 35, 4446, 147251, 232765, 1082, 23600, 16308, 32155, 1041, 225633, 83280, 101593, 100113, 103, 31026, 29, 77398, 4476, 35, 29, 70582, 1117, 49, 32560, 2493, 84, 124458, 53711, 26034, 1521, 245, 5957, 1085, 142269, 6, 5, 21199, 4060, 84, 33002, 72178, 11373, 103917, 187969, 6, 4, 122318, 5509, 49, 32560, 2493, 84, 124458, 53711, 44, 6, 67630, 2426, 44, 672, 89, 31224, 672, 92746, 55994, 135, 109530, 1281, 34945, 6, 5, 804, 2225, 4558, 86079, 227, 1086, 58490, 27224, 69, 60834, 13299, 49, 3499, 650, 58036, 132670, 2172, 4060, 103, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 1, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 1, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 1, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 1, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 1, -100, -100, 2, -100, 0, 1, -100, 0, 1, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, 0, 1, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 1, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 804, 105489, 76425, 93910, 92228, 112675, 64110, 31843, 559, 204350, 5902, 184104, 197, 1794, 5902, 13842, 2739, 117860, 1560, 6, 4, 198497, 64257, 989, 6, 28055, 21406, 11373, 2192, 23054, 49, 138839, 103, 6, 5, 101428, 21903, 150831, 59, 3844, 6, 4, 124476, 2257, 18531, 105, 10327, 8571, 698, 35, 804, 6168, 3281, 130, 12854, 1625, 244, 7638, 135, 44429, 1794, 1006, 129, 440, 30732, 1993, 49, 148586, 35, 3712, 1980, 5902, 240012, 54713, 5004, 6, 5, 15910, 11125, 652, 49817, 6878, 424, 46484, 59, 6, 5, 901, 128603, 21967, 129129, 92228, 55745, 1196, 5785, 28584, 12127, 235001, 559, 6, 4, 78536, 125867, 49, 113799, 130, 148586, 105, 44109, 2132, 11, 6, 5, 417, 42730, 103, 5434, 2699, 35, 105489, 76425, 93910, 226547, 59, 128379, 3280, 2739, 117860, 1560, 49, 54713, 723, 336, 6, 4, 4851, 78573, 81952, 112675, 46212, 175765, 35, 92228, 112675, 423, 9561, 6, 5, 15910, 35, 11043, 201185, 29, 150831, 59, 7836, 20, 172105, 2739, 117860, 1560, 49, 804, 105489, 13701, 6, 5, 9504, 17260, 2739, 117860, 1560, 4387, 75566, 166840, 145583, 130, 804, 105489, 13701, 440, 8808, 121949, 1114, 244, 204350, 8809, 38850, 6, 4, 27135, 2033, 43155, 49, 10757, 15115, 38503, 103, 80532, 6, 5, 50876, 2739, 117860, 1560, 145273, 4354, 49, 227747, 1768, 188448, 15777, 6, 4, 35, 20, 140982, 20, 44, 49, 529, 94316, 148745, 135, 77, 89, 3712, 1980, 142136, 29356, 827, 6, 4, 166840, 6467, 49, 804, 105489, 13701, 44, 6, 5, 901, 73330, 92228, 55745, 2151, 81966, 5719, 55389, 5532, 49, 6, 103348, 1041, 888, 6, 5, 79615, 16357, 103, 31843, 559, 2739, 117860, 1560, 20, 7331, 67186, 44597, 672, 1316, 1323, 2716, 35, 3743, 77243, 14853, 82912, 20, 6, 68668, 138466, 29, 30724, 804, 105489, 13701, 6, 5, 150831, 59, 23300, 6962, 183, 7330, 419, 424, 46484, 59, 62957, 6, 4, 414, 235539, 92228, 59, 6, 5, 4531, 227665, 1097, 193184, 130, 4056, 24214, 59637, 31465, 10788, 35, 138839, 245, 29, 804, 105489, 20151, 6, 5, 44, 79068, 1080, 49, 73931, 50487, 312, 60339, 49, 167357, 130, 71870, 190592, 227, 35, 138839, 245, 47815, 6737, 87387, 160253, 37984, 19776, 14554, 10190, 526, 49, 22692, 70172, 92228, 59, 830, 9, 83694, 150831, 59, 23300, 70856, 108912, 6436, 17629, 83551, 6, 5, 150831, 59, 23300, 3216, 134321, 1707, 105054, 424, 1941, 51533, 142136, 219403, 1281, 3693, 2699, 19306, 6, 4, 779, 20878, 9765, 81250, 197924, 6, 4, 14239, 414, 80349, 8854, 2724, 227, 10849, 1857, 8979, 135, 804, 105489, 358, 2519, 13746, 40403, 551, 55298, 13953, 14357, 695, 6, 5, 6871, 103, 11735, 31843, 559, 2739, 117860, 1560, 28390, 84820, 827, 3738, 2574, 6, 4, 819, 148751, 44967, 183896, 2519, 226232, 22458, 67921, 44462, 209410, 6, 4, 637, 168199, 8809, 57208, 44, 132953, 3280, 44, 6, 4, 6, 232219, 85280, 64237, 1117, 2739, 117860, 1560, 6, 4, 35, 99920, 20, 124698, 804, 105489, 13701, 18531, 119771, 20, 9504, 105, 10655, 9504, 1120, 1447, 1125, 1862, 6, 5, 235202, 89, 6, 4, 95645, 87315, 189861, 179779, 6467, 6, 4, 79015, 89, 6, 4, 414, 49, 101690, 129, 49372, 15115, 3738, 2395, 4684 ]

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

[ -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100 ]

[ 0, 1039, 67165, 131402, 10088, 42134, 109810, 59, 49, 94447, 2390, 226, 13701, 8044, 44, 5188, 41950, 1993, 38850, 49, 158645, 1993, 3732, 45315, 415, 44, 6, 4, 106064, 193182, 44, 97836, 44, 6, 5, 901, 85093, 82461, 86162, 59, 157592, 105677, 34879, 8635, 129, 8044, 4544, 35, 34911, 79065, 59, 8159, 2052, 24873, 6, 4, 11053, 30561, 58462, 13953, 97216, 718, 225498, 34911, 49, 211629, 6, 5, 2842, 20, 111279, 6, 4, 14239, 6, 4, 414, 16950, 31850, 7031, 20144, 827, 4159, 103342, 183381, 6, 4, 252, 326, 20, 6, 107737, 6, 4, 14239, 6, 4, 414, 84, 241151, 34900, 54039, 77, 140895, 172365, 156801, 35, 109557, 6, 5, 417, 20228, 40238, 6, 4, 84014, 8159, 23033, 559, 6, 4, 212554, 29, 44748, 80046, 22996, 6, 4, 24271, 50121, 16760, 43155, 5999, 28008, 33115, 227, 127435, 126766, 240012, 49, 158645, 1993, 3732, 45315, 415, 6, 4, 23633, 2294, 132139, 53173, 419, 718, 209714, 49, 52429, 22937, 208470, 34911, 6, 5, 98965, 48979, 518, 66917, 165109, 34911, 22776, 103, 9072, 172853, 1400, 50786, 74386, 47435, 129, 96824, 14879, 10094, 35, 68576, 6, 4, 252, 5058, 49, 189549, 49, 144451, 4798, 29744, 24499, 5328, 3795, 114398, 105, 6, 5, 901, 197, 4801, 12780, 4354, 35, 529, 178095, 241151, 52398, 50492, 130, 49, 1725, 6, 241474, 1768, 22156, 135, 3732, 212, 19890, 46946, 16662, 6, 4, 252, 5058, 100660, 228321, 244, 158837, 165108, 143542, 103366, 6, 5, 6, 158009, 1258, 6, 4, 148400, 43705, 49, 158645, 1993, 3732, 45315, 415, 6, 4, 24397, 60407, 37632, 45540, 38266, 6, 5, 41034, 6, 4, 49, 7904, 114191, 312, 77, 73976, 208625, 89, 2431, 223955, 4354, 241408, 49, 107058, 11709, 1270, 61, 78238, 6, 4, 49, 7904, 77427, 4544, 20, 208005, 6, 5, 5074, 129, 197, 4801, 154706, 6, 72522, 58007, 52181, 6, 4, 30561, 148400, 17330, 49, 158645, 1993, 3732, 45315, 415, 6, 4, 3150, 223955, 2454, 18178, 45540, 61070, 6, 5, 2 ]

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

[ -100, 0, 1, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 1, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 1, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 1, -100, -100, 0, 1, -100, 0, -100, 0, 0, -100, -100, 1, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0 ]

[ 0, 672, 72886, 6208, 89476, 6, 106261, 10582, 83521, 71592, 25495, 12657, 17377, 20, 205858, 16846, 382, 130041, 559, 129, 19100, 27258, 126138, 6, 8851, 1200, 24130, 244, 25029, 6, 5, 4356, 4135, 8870, 183553, 35253, 18029, 59828, 59719, 6, 5, 901, 82191, 186923, 78785, 44970, 111720, 160181, 10347, 6, 4, 424, 20, 969, 41111, 419, 2697, 240202, 1006, 47841, 3216, 59404, 9561, 6, 4, 5138, 138, 21069, 196831, 227, 6, 5, 189710, 90229, 28535, 35, 232501, 1009, 3318, 77402, 24192, 59278, 82246, 6, 4, 40553, 969, 4968, 7533, 212, 827, 30956, 957, 63671, 55013, 163690, 7025, 6, 4, 129, 39595, 37190, 7246, 94768, 197, 114660, 130, 6, 4, 5138, 116, 21069, 126766, 183553, 6, 5, 672, 72886, 6208, 1080, 79734, 197, 496, 21069, 129, 7878, 9798, 6, 4, 1093, 46950, 8763, 106600, 89, 33751, 6878, 5138, 83108, 38608, 59, 55013, 6, 4, 4851, 146617, 77, 22947, 36329, 4736, 2687, 17425, 183553, 6, 5, 140616, 2233, 128108, 135, 72886, 6208, 130, 109234, 208819, 59, 6, 5, 128051, 29, 2042, 40206, 1874, 212212, 6, 4, 255, 88367, 13418, 255, 128379, 2542, 26062, 650, 2697, 3670, 20, 27890, 1447, 23457, 5902, 105677, 35, 70294, 407, 4060, 1041, 5514, 132661, 167312, 6, 4, 12703, 29, 57444, 103, 146617, 9953, 805, 9561, 6, 4, 11004, 77, 84, 75703, 6, 5, 1089, 2052, 476, 71592, 25495, 12657, 13617, 6, 4, 27390, 89476, 23294, 49, 615, 13330, 779, 1891, 129, 28276, 6194, 13686, 6, 4, 219768, 49, 39777, 80233, 2172, 110642, 49, 84, 33901, 103, 672, 8870, 328, 105, 49, 47964, 193737, 244, 718, 198909, 20, 44664, 105, 512, 71226, 695, 29611, 72886, 9121, 245, 20, 72886, 1447, 8618, 245, 6, 5, 43398, 2042, 36065, 28584, 6341, 219768, 212, 236078, 8118, 193737, 183, 212787, 126330, 6, 4, 414, 35, 23633, 7171, 1891, 1857, 44862, 180443, 244, 1080, 79734, 983, 6, 5, 12459, 71226, 695, 71592, 25495, 12657, 13617, 72886, 9121, 1041, 255, 38306, 79574, 55792, 12780, 2257, 546, 16846, 2101, 211606, 2958, 28584, 97440, 6, 5, 57207, 59, 59119, 424, 5308, 2380, 164507, 255, 6, 151664, 130041, 59, 129, 6, 8851, 1200, 24130, 244, 25029, 6, 5, 1089, 6592, 75703, 6, 4, 414, 6, 8470, 212, 827, 23294, 179473, 49, 164755, 100218, 559, 72886, 9121, 245, 35, 37724, 1993, 6, 4, 35, 61, 2582, 1730, 64843, 9279, 1006, 6, 5, 417, 194299, 16846, 42306, 37037, 1196, 1080, 79734, 983, 127468, 30617, 16229, 672, 8870, 328, 105, 6, 5, 20793, 206136, 227, 30937, 80804, 6, 4, 46997, 6, 4, 30956, 48093, 201, 43848, 59, 6, 4, 49, 27285, 105054, 122560, 20917, 33936, 6, 5, 125230, 77416, 128554, 7171, 10059, 812, 97082, 72886, 1447, 8618, 743, 6, 4, 4851, 6, 4, 49, 71007, 6, 4, 30956, 27856, 29, 35333, 103342, 2042, 221245, 1041, 150344, 19100, 36517, 11153, 2233, 30937, 7405, 6, 5, 901, 82191, 116506, 25455, 6, 4, 18528, 49, 26065, 103, 35253, 18029, 59828, 59719, 424, 20, 61, 204349, 46950, 8763, 106600, 89, 6, 4, 1741, 4482, 3407, 529, 128108, 743, 35, 1080, 79734, 983, 6, 5, 672, 57444, 103, 77317, 38482, 56804, 89196, 559, 129, 95401, 2151, 115094 ]

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

[ -100, 0, 0, 0, -100, 1, -100, -100, -100, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]

[ 0, 70109, 49, 129, 49727, 13658, 130, 65310, 59, 66203, 15137, 174192, 11848, 4968, 3712, 86795, 72907, 989, 20803, 328, 76209, 85747, 60304, 5013, 2521, 303, 182710, 155237, 18655, 1006, 6, 4, 106064, 153827, 193182, 44, 97836, 44, 6, 5, 164076, 20803, 37148, 28008, 111034, 227, 21322, 4558, 44292, 546, 44, 43801, 14122, 4485, 11231, 37675, 2958, 48833, 559, 44, 6, 5, 58083, 8007, 30681, 8571, 1730, 223578, 59, 22959, 424, 3821, 14171, 6, 174782, 695, 44970, 6, 4, 414, 440, 8635, 415, 1730, 718, 129, 49727, 6, 5, 589, 616, 31482, 129, 28511, 6194, 13686, 12826, 6, 48531, 2697, 21069, 6826, 13995, 43917, 27731, 66176, 89, 135712, 35, 62422, 227, 6, 5, 1382, 543, 97271, 102372, 63892, 3433, 132833, 4684, 7171, 130288, 718, 70576, 44169, 40273, 20151, 134669, 312, 29, 4947, 751, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 1, 0, -100, 0, -100, -100, 0, -100, 0, -100, 1, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 952, 67165, 89587, 312, 12635, 8544, 591, 15512, 135, 151075, 59, 714, 83141, 6, 131996, 205, 424, 6, 83389, 54883, 59, 231547, 6, 5, 20853, 90246, 59, 162991, 695, 54883, 59, 231547, 108718, 29, 42803, 19816, 37841, 15052, 212, 230241, 29, 11373, 92692, 68096, 255, 35185, 200921, 2699, 201, 1837, 83141, 6, 131996, 205, 6, 4, 637, 9953, 1496, 1745, 108629, 52766, 695, 162991, 695, 27833, 59, 30296, 6, 5, 64872, 151075, 25254, 166172, 64107, 695, 106525, 28727, 29, 162991, 29, 11373, 92692, 68096, 6, 5, 672, 141140, 6365, 21013, 61, 21607, 312, 24499, 73905, 22959, 60229, 49, 39466, 103, 50181, 84926, 6, 4, 414, 29, 190, 84926, 30984, 6, 4, 238023, 29, 415, 957, 336, 151075, 59, 6, 5, 89587, 312, 12635, 8544, 72472, 49, 41841, 33175, 89, 714, 83141, 6, 131996, 205, 101912, 119882, 84926, 6, 4, 3837, 14219, 136383, 227, 29, 212406, 55134, 1857, 36753, 227, 35, 96515, 28727, 1196, 76266, 235899, 6, 159375, 29209, 6, 5, 2 ]

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

[ -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 1, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100 ]

[ 0, 536, 2827, 59, 106828, 245, 44, 536, 11185, 37134, 547, 512, 20, 189604, 2715, 5842, 50917, 1874, 85747, 546, 13701, 44, 35, 100967, 44, 6, 66070, 213866, 5089, 44, 228226, 89, 23294, 23241, 120181, 187969, 6, 100753, 94316, 148745, 6, 4, 79015, 197, 153827, 804, 72359, 20, 36690, 45961, 6, 5, 13203, 11409, 10235, 800, 88897, 6, 4, 414, 130739, 215732, 154986, 559, 6, 4, 126243, 44712, 44, 536, 11185, 37134, 38962, 130, 44, 84, 44, 6, 66070, 213866, 86671, 44, 6, 4, 3318, 83828, 1117, 135, 2687, 11485, 1951, 736, 1315, 836, 97513, 255, 44, 23334, 73647, 34900, 55664, 559, 44, 6, 5, 5188, 103, 106828, 89, 14219, 187113, 49, 185511, 105897, 26958, 20, 169993, 31148, 241835, 559, 49, 41796, 244, 8568, 35, 61, 10633, 35458, 419, 6, 5, 36933, 2574, 6, 4, 62739, 197, 6, 4, 414, 175533, 44, 6, 66070, 213866, 20985, 44, 440, 1741, 7330, 1214, 14219, 40924, 24896, 2454, 62705, 1281, 44, 536, 11185, 37134, 1219, 205, 44, 6, 5, 5187, 83694, 23241, 19776, 12016, 44, 536, 11185, 37134, 1219, 205, 44, 185248, 312, 1089, 137615, 4, 58, 38920, 28511, 5509, 93502, 89037, 41557, 43346, 3907, 46414, 10582, 28535, 132661, 67823, 6, 4, 1725, 54176, 2958, 35, 142068, 135502, 559, 3318, 15319, 85896, 5138, 201615, 1719, 74881, 115987, 105, 214238, 743, 85747, 106828, 89, 44, 6, 5, 901, 1739, 66689, 6, 4, 187969, 119638, 58, 1709, 11185, 37134, 1219, 1882, 44, 44, 199541, 183, 64107, 695, 63103, 200218, 559, 44, 6, 5, 4056, 14879, 22239, 6, 4, 41976, 44, 6, 66070, 213866, 20985, 44, 6061, 698, 9945, 559, 88650, 3873, 42554, 20765, 2395, 29, 22470, 103737, 103, 35, 21757, 26958, 103, 227495, 20803, 106828, 312, 6, 5, 44, 56335, 50570, 1730, 6, 4, 414, 201727, 312, 205080, 6, 82626, 241524, 33070, 16760, 49, 8568, 164888, 44, 6, 66070, 213866, 5089, 44, 30963, 424, 6674, 17524, 24605, 559, 44, 6, 4, 20, 22474, 25734, 141941, 1266, 6, 5, 83559, 21313, 3318, 61, 6417, 39049, 62705, 227, 58, 1709, 11185, 37134, 1219, 205, 44, 77, 2530, 49, 8568, 6, 4, 779, 35, 61, 4641, 55664, 1281, 6, 5, 229639, 4354, 5058, 6, 4, 414, 227495, 135, 44, 536, 11185, 37134, 38962, 130, 44, 3318, 61609, 85896, 223209, 89, 54227, 44, 6, 66070, 213866, 20985, 44, 35, 119638, 336, 43927, 245, 1857, 13117, 44, 84, 67460, 17260, 39218, 29, 11373, 17524, 56139, 244, 6, 5, 44, 2 ]

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

[ -100, 1, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 1, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 1, 0, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 1, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 1, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 1, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0 ]

[ 0, 14560, 67647, 227, 49, 229015, 1993, 101727, 512, 88052, 41690, 135, 218772, 35, 97062, 127172, 130, 163832, 227495, 5842, 218772, 35, 210983, 6, 4, 83694, 40010, 66699, 14560, 29134, 14394, 115533, 27596, 6794, 650, 6, 5, 96070, 214461, 6, 4, 414, 30963, 424, 62862, 21324, 180505, 9395, 73472, 75854, 1196, 24397, 983, 54592, 18102, 76880, 129, 68487, 4256, 6, 5, 2842, 158263, 27596, 6794, 650, 237748, 29, 28203, 2097, 244, 129, 17994, 130, 8865, 46414, 8441, 35, 44, 183, 8635, 26464, 50203, 44, 6, 4, 49, 2660, 20068, 424, 8568, 6, 4, 3837, 123339, 4401, 49, 36954, 103, 129, 58907, 5902, 35, 179441, 15777, 84723, 227, 132943, 114516, 2257, 14560, 6, 5, 96070, 83694, 6, 4, 414, 44, 39749, 84, 212, 13390, 112675, 8865, 46414, 22959, 84, 16117, 5902, 60637, 197, 7196, 44, 6, 5, 87866, 312, 77, 22947, 15981, 312, 8095, 1768, 8568, 1266, 159315, 44, 6, 39614, 3280, 28059, 559, 44, 6, 5, 96070, 77, 13524, 13713, 3873, 6, 4, 414, 49, 45256, 2192, 132281, 312, 9687, 44, 84, 226, 6341, 28059, 559, 6, 4, 39072, 44, 23793, 12068, 45781, 44, 424, 81491, 8568, 255, 423, 97986, 59, 84926, 49, 5532, 44, 6, 5, 44, 15983, 1068, 35789, 114408, 197260, 6, 39614, 3280, 117043, 35, 440, 137753, 19306, 23192, 44, 27596, 6794, 650, 159315, 44, 100660, 14217, 1082, 6674, 13682, 61431, 59, 44, 6, 5, 27596, 6794, 650, 5058, 83694, 6, 4, 414, 44, 49, 51752, 44, 1537, 8763, 698, 6, 37134, 63326, 20, 6, 71244, 44, 29, 67558, 8270, 6171, 94490, 2574, 6, 4, 414, 27634, 20, 27035, 23192, 210983, 7638, 136383, 227, 77, 129, 68487, 4256, 44, 6, 5, 901, 66689, 124698, 6, 4, 93142, 14560, 86079, 59, 49, 152280, 103, 3699, 407, 69591, 163041, 1117, 54939, 407, 186397, 140500, 129, 186274, 135, 183, 8635, 96126, 130, 50203, 6, 5, 4946, 1082, 65411, 13053, 207926, 115350, 6, 5, 417, 21322, 14219, 69, 1006, 12826, 6, 48531, 2697, 147287, 1488, 677, 37083, 76097, 2542, 66699, 35, 6, 743, 2509, 8441, 14560, 6, 5, 3580, 227, 32560, 6103, 28203, 2097, 49, 36954, 103, 129, 27617, 130, 35, 6, 81660, 1258, 84723, 227, 132943, 45697, 8809, 114516, 2687, 43903, 32369, 129, 94687, 103, 157592, 5434, 147459, 6, 4, 114516, 48465, 212, 20, 77792, 40519, 217159, 59, 9762, 2052, 6, 5, 417, 62399, 811, 232207, 29, 98101, 1993, 28203, 1394, 9762, 2052, 79015, 407, 811, 141642, 1993, 2431, 33372, 86162, 59, 6, 4, 7176, 1086, 7736, 57980, 82243, 14560, 3216, 7572, 52850, 36788, 61, 70422, 61439, 827, 135, 46446, 1281, 35, 68902, 1281, 424, 6, 37134, 736, 3712, 1196, 142068, 6, 34887, 6, 5, 36933, 2574, 6, 4, 217159, 9762, 1068, 113932, 591, 4401, 5013, 49, 36788, 3795, 90466, 114516, 2257, 407, 131658, 63893, 121590, 39084, 45697, 5902, 149178, 40687, 8568, 35, 69765, 49, 147282, 66699, 14560, 407, 131658, 86168, 35, 94221, 59, 101727, 512, 88052, 41690, 5842, 99352, 3455, 8544, 419, 8568, 35, 210983, 6, 5, 21199, 1725, 60483, 17425, 7638, 66203, 6878, 77, 29, 213184, 12206, 1214, 637, 154606, 105190, 1214, 6, 4, 252, 29, 207608, 98276, 244, 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 ]

[ -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100 ]

[ 0, 7720, 18954, 30577, 75566, 695, 86798, 59, 56110, 1114, 15983, 861, 7343, 21313, 44, 138116, 13170, 245, 44, 35, 98788, 12860, 5188, 8875, 130045, 312, 188448, 208470, 13842, 44, 1089, 226, 48151, 44, 75566, 206096, 89, 407, 2660, 6, 4, 414, 77, 45723, 122086, 27546, 718, 23798, 42269, 197, 54671, 131213, 105, 44271, 15983, 861, 7343, 1426, 5, 822, 170, 2810, 5, 882, 6, 5, 208494, 1041, 13117, 44, 138116, 13170, 245, 44, 206096, 183, 155329, 33762, 54671, 34664, 12860, 130833, 3455, 81985, 130, 133346, 244, 5999, 6, 5, 417, 22326, 99142, 695, 66287, 59, 6, 4, 150763, 73747, 6, 4, 414, 3480, 170, 2810, 5, 882, 150073, 303, 99434, 116586, 64257, 188448, 218482, 6, 4, 98788, 12860, 44, 1089, 226, 98361, 44, 106064, 152, 44, 55664, 53440, 32842, 6, 4, 414, 183, 155329, 6, 9753, 1270, 12860, 6, 4, 16846, 15229, 235552, 33458, 65919, 59, 6, 4, 49, 152780, 130, 47524, 53625, 518, 5934, 1270, 8775, 44, 6, 5, 2718, 1488, 3480, 170, 2810, 5, 882, 7329, 77, 57707, 6, 4, 779, 49, 152280, 103, 3699, 3318, 15126, 476, 28832, 102074, 2192, 255, 1488, 3480, 170, 2810, 5, 539, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, 1, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 1, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 1, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 1, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100 ]

[ 0, 44, 2443, 58079, 186892, 58, 5295, 547, 6898, 29, 198909, 20, 6, 213046, 103, 64843, 54925, 30250, 476, 23294, 49, 753, 60807, 126766, 67418, 42953, 36689, 29732, 10573, 6, 4, 9953, 20803, 21069, 9561, 7638, 31573, 59, 928, 170404, 6, 5, 417, 9080, 6898, 1435, 23457, 4469, 49, 120606, 80270, 546, 54925, 6, 4, 43993, 8604, 2192, 29, 110357, 160481, 1521, 6, 4, 12105, 36175, 13624, 227, 25057, 723, 49, 23434, 888, 46009, 135, 8898, 59547, 130, 35, 3433, 415, 5969, 6467, 15412, 103099, 29, 5347, 55792, 105, 255, 305, 184516, 559, 6, 5, 1089, 41942, 59, 19951, 424, 3806, 30953, 6, 4, 9542, 811, 2102, 44106, 29, 222351, 6, 4, 779, 93661, 1281, 380, 11589, 35, 39689, 77, 239525, 6, 5, 185020, 135, 6010, 6, 4, 44, 57307, 32083, 44821, 44, 2120, 2743, 4401, 723, 47291, 2151, 6, 5, 77002, 424, 116506, 25455, 6, 4, 819, 1266, 3151, 9159, 6527, 49, 172859, 652, 18372, 106486, 2716, 108912, 21220, 6, 4, 70222, 6, 4, 414, 7193, 20, 690, 49, 27285, 7846, 10951, 71428, 2192, 19724, 158957, 183, 1739, 9037, 183014, 312, 179022, 6, 5, 3499, 119520, 1085, 723, 35, 8898, 23158, 144151, 989, 77, 5138, 181515, 23255, 6, 4, 3738, 21307, 184002, 13475, 44051, 13475, 129963, 3734, 21218, 103, 41111, 50504, 29, 27042, 1219, 29732, 7324, 29, 149551, 130, 68439, 103, 13901, 227, 6, 4, 23793, 44491, 19812, 16846, 16290, 155333, 138199, 6, 5, 12459, 28651, 103, 424, 3806, 59650, 1435, 23457, 15863, 89476, 1039, 86005, 13867, 2699, 6, 4, 84, 336, 989, 10094, 2358, 9561, 6, 5, 27596, 3455, 227782, 130, 518, 169521, 36689, 108622, 2687, 526, 11312, 135, 158834, 419, 44363, 14679, 54925, 25455, 4387, 6, 105362, 1041, 543, 2592, 6, 4, 20878, 1435, 23457, 4469, 2042, 244, 48874, 3873, 174723, 29744, 6, 4, 5138, 28797, 9561, 90229, 546, 6, 5, 191273, 61, 72337, 4082, 4476, 424, 3806, 109375, 1435, 23457, 15863, 2120, 2678, 6, 5, 13203, 17944, 20719, 44821, 407, 23334, 130, 424, 3806, 61405, 89, 152441, 135, 1039, 63960, 8272, 2699, 6, 4, 4222, 166476, 121338, 9159, 751, 44, 57307, 32083, 38847, 44, 6, 5, 185020, 135, 6010, 106486, 2716, 21967, 158834, 80605, 440, 66176, 3107, 128430, 18315, 44, 3693, 44, 6, 4, 529, 124402, 652, 51836, 11312, 41325, 6, 4, 414, 76751, 227, 6171, 6, 5, 49429, 6, 36968, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100 ]

[ 0, 417, 149314, 135, 79574, 41736, 3735, 44653, 96515, 136713, 240012, 19701, 2052, 47030, 20, 72904, 1269, 79260, 20, 3910, 42269, 1006, 35, 28464, 1269, 2102, 6, 4, 45086, 14159, 591, 27824, 90569, 25077, 227, 29, 16122, 151263, 141272, 89, 228369, 59, 5506, 142269, 20, 187572, 89, 29, 61858, 1768, 166658, 72904, 1269, 650, 1711, 194539, 143885, 34800, 59, 6, 5, 124764, 60303, 143885, 2946, 63671, 152974, 1714, 861, 2493, 20, 183, 1488, 3410, 90773, 25077, 559, 611, 25562, 35, 77, 255, 106676, 34457, 90569, 29, 105412, 244, 21996, 59, 193301, 2946, 718, 164411, 4256, 183371, 6, 5, 5187, 79015, 197, 193182, 44, 97836, 44, 529, 237907, 29, 6, 208150, 245, 124698, 160181, 6674, 141272, 89, 62640, 59, 27576, 1269, 10966, 6, 4, 21069, 2233, 28584, 2374, 591, 800, 11589, 1450, 128603, 34358, 407, 38690, 27183, 166658, 35, 90646, 6880, 6, 120043, 128530, 6, 5, 589, 178408, 81250, 145871, 1117, 90402, 49, 6, 120043, 6, 5, 5188, 12758, 415, 49, 211629, 141272, 89, 134222, 16950, 31850, 7031, 6, 4, 241151, 29306, 66855, 101688, 227, 49, 149001, 1041, 18315, 5641, 6, 4, 20, 79015, 217163, 124698, 160181, 6674, 6, 5, 62640, 27576, 14564, 559, 228582, 12206, 129, 928, 79913, 40326, 149497, 169489, 29, 184871, 59, 21996, 59, 193301, 2946, 56110, 1114, 41867, 2946, 11125, 1200, 1739, 9037, 6, 5, 1382, 221381, 6, 4, 58191, 245, 87315, 77, 29, 146568, 9765, 140125, 6, 5, 2 ]

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

[ -100, 0, 1, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, 0, -100, -100, 0, -100, 0, 1, 0, 1, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 1, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 1, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 1, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, -100, -100, -100, -100, 2, -100, -100, 0, 0, -100, 0, 1, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 1, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 1, 0, -100, 0, -100, 0, -100, 0, 1, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100 ]

[ 0, 417, 52429, 6, 4, 49, 34992, 13701, 189604, 1082, 76880, 25896, 135, 534, 31482, 79574, 155641, 59, 140335, 245, 591, 4653, 2097, 135, 9504, 9685, 1768, 23568, 48970, 90798, 6, 4, 14925, 4987, 30963, 424, 19580, 29751, 31303, 59, 6, 5, 141884, 743, 145797, 312, 753, 1315, 89, 1085, 87830, 197, 29, 6304, 31026, 10347, 1281, 50406, 8568, 6, 5, 2842, 158263, 60828, 135, 41620, 130, 90953, 89, 4682, 90569, 50406, 31479, 4387, 29, 58768, 119151, 67409, 255, 71066, 49, 165319, 424, 131656, 6, 4, 4851, 9504, 31061, 23568, 1996, 72736, 6, 3670, 58883, 7031, 49, 104420, 30943, 1200, 29611, 1435, 58231, 12544, 185183, 387, 67165, 6, 5, 215250, 6365, 84, 60828, 59, 129, 7613, 1857, 206655, 3107, 141442, 89, 6, 4, 529, 11403, 14159, 35, 66557, 103, 139135, 975, 1584, 23568, 1996, 1794, 29532, 6, 5, 417, 1725, 20068, 20, 1709, 10907, 198447, 4910, 559, 52400, 35, 220245, 189322, 6, 4, 68582, 312, 179590, 212, 28536, 559, 6, 4, 169933, 205, 5209, 79311, 2697, 35, 22238, 6, 5, 27596, 65960, 23568, 1996, 26401, 161029, 84, 424, 66814, 17471, 60828, 59, 6, 4, 55169, 6, 68160, 98563, 6878, 199141, 804, 49326, 35, 6429, 49, 957, 8533, 6, 5, 4531, 22470, 100608, 79696, 135, 65960, 419, 23568, 1996, 26401, 3455, 6, 5, 80773, 1355, 129308, 12777, 21665, 183, 50406, 35, 128530, 30296, 6, 5, 188719, 54441, 163866, 89, 23255, 591, 49266, 49, 34992, 13701, 189604, 1082, 32533, 677, 25896, 672, 8489, 2578, 118036, 8489, 6, 5, 672, 8489, 804, 9107, 34423, 72491, 88650, 6880, 65960, 105, 23568, 1996, 26401, 105, 35, 1739, 13628, 2151, 529, 117137, 128407, 26464, 183, 75674, 49372, 71199, 2578, 2716, 1835, 1196, 6, 5, 145263, 6, 4, 819, 106064, 8865, 23581, 27673, 129486, 193182, 44, 97836, 44, 6, 4, 90953, 59, 114027, 59, 8568, 6, 4, 96244, 103, 137282, 4296, 8534, 103, 55165, 105015, 6, 4, 43917, 27856, 120043, 189604, 1082, 76880, 25896, 6, 4, 77, 51705, 245, 84820, 130, 6, 154017, 135, 79171, 1768, 6, 5, 85384, 650, 20, 34078, 1041, 50406, 8568, 154888, 4910, 136458, 303, 79015, 27847, 1258, 6, 4, 414, 3151, 62640, 2578, 2716, 52442, 46249, 2687, 11485, 1951, 49, 6, 150652, 2582, 8441, 23568, 751, 15205, 6, 5, 1721, 8870, 125308, 129, 7613, 1857, 183, 39730, 27136, 20, 99920, 8568, 4187, 652, 1521, 1394, 1813, 723, 2697, 35, 2294, 64393, 115165, 589, 5, 9, 51896, 59, 157380, 983, 589, 6737, 33888, 6, 5, 672, 235413, 227, 235539, 989, 440, 30732, 2715, 10327, 680, 22697, 64491, 222, 25734, 35, 2693, 19108, 1719, 205, 130155, 245, 6, 5, 901, 191709, 529, 117137, 128407, 26464, 183, 122890, 4019, 59, 4560, 62156, 41287, 151668, 59, 3681, 11446, 12276, 6, 4, 50406, 175857, 96724, 59, 39663, 94804, 6, 4, 50406, 14560, 42669, 551, 220936, 59, 6, 4, 9977, 96515, 35, 158837, 6, 50786, 29751, 6, 5, 121677, 43970, 12635, 4318, 197, 2155, 303, 93362, 1995, 20449, 21452, 61, 123806, 7613, 38536, 9504, 89, 2102, 23568, 48970, 90798, 35, 212, 163677, 1656, 69144, 18293, 50606, 1719, 529, 117137, 128407, 26464, 49, 20755, 135, 4641, 4406, 1891, 1857, 30865, 1862 ]

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

[ -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, -100, -100, -100, 2, 2, 2, 2, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 1, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, 1, -100, -100, -100, -100, 2, 2, 2, 2, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, -100, 2, 2, 2, 2, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 1, 2, 2, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 53848, 312, 9694, 57414, 861, 2233, 181228, 17176, 237702, 59, 71704, 2192, 54662, 2297, 49, 56643, 29, 36753, 1857, 136581, 103, 326, 6, 176744, 30085, 800, 226, 20, 29, 20, 24186, 336, 6, 4, 71045, 75874, 124255, 7588, 928, 49, 106, 4, 8194, 37654, 59, 6, 4, 106064, 153827, 804, 72359, 20, 36690, 45961, 6, 5, 4805, 29, 415, 957, 336, 241986, 2192, 13428, 132272, 2519, 8809, 61858, 1082, 27617, 15, 6, 106148, 2632, 1388, 116077, 81830, 122545, 37654, 59, 61, 147840, 6, 4, 690, 23294, 136156, 135, 17176, 529, 48981, 72942, 440, 115257, 106, 4, 8194, 963, 9, 81830, 143886, 37654, 59, 6, 5, 53448, 3795, 28037, 105, 99502, 17425, 170068, 312, 36753, 227, 183547, 145404, 652, 70428, 2172, 36098, 419, 151089, 103, 14560, 49, 6, 4256, 1200, 6, 4, 12185, 407, 33763, 7171, 49266, 718, 120006, 1719, 407, 45846, 1200, 20151, 37654, 59, 6, 5, 417, 10757, 20755, 29229, 1835, 7310, 11735, 225583, 222, 16206, 29, 41155, 36098, 29, 69, 43089, 188685, 2958, 38236, 3735, 244, 6, 4, 4851, 181866, 989, 127864, 103, 216127, 2715, 89248, 37654, 59, 6, 5, 672, 1316, 99582, 13428, 17176, 29, 44748, 106, 4, 8194, 20, 106, 4, 9016, 37654, 59, 58, 650, 138113, 28832, 2151, 44, 6, 4, 326, 6, 176744, 30085, 800, 226, 20, 29, 20, 24186, 336, 97062, 6, 4, 414, 49, 36129, 105, 182162, 12318, 1739, 22470, 103737, 103, 216127, 2715, 57750, 183, 205158, 106, 4, 8194, 37654, 59, 58, 138669, 166622, 44, 6, 5, 417, 25510, 23294, 52766, 695, 10262, 45404, 60407, 1739, 27383, 227, 72192, 129, 233233, 180600, 130, 255, 81830, 90393, 37654, 59, 6, 5, 6, 72837, 59957, 27183, 17176, 29, 136581, 103, 326, 6, 176744, 30085, 800, 226, 20, 29, 20, 24186, 336, 6346, 134590, 26161, 75703, 123580, 21903, 2151, 4251, 91188, 529, 2325, 11355, 1270, 76404, 59, 201727, 244, 8427, 5004, 7765, 82668, 25798, 49208, 6, 4, 7176, 238791, 989, 23294, 20934, 13510, 336, 20151, 529, 40326, 736, 2493, 132709, 29, 2678, 165108, 255, 183, 205158, 97608, 10945, 129786, 559, 6, 5, 1813, 112235, 5434, 183547, 145404, 49, 116687, 130, 168237, 6346, 30732, 983, 29, 109705, 2958, 136581, 1214, 49, 63326, 20, 6, 71244, 103, 35, 217601, 6, 4, 4851, 40326, 13524, 57803, 70746, 61, 33067, 111380, 42710, 127864, 103, 753, 44821, 76404, 559, 44, 2718, 105, 20, 85524, 650, 58, 89, 44, 122590, 77998, 44, 6, 5, 2 ]

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

[ -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 61729, 6, 4, 129, 1739, 66689, 6, 4, 54982, 4354, 6, 101191, 2233, 4406, 9430, 58231, 139579, 59, 29, 11373, 17524, 56139, 244, 195215, 35, 215732, 154986, 559, 6, 4, 414, 50827, 10416, 91917, 105, 225857, 29, 52667, 40342, 229674, 183, 64456, 59, 6, 5, 5187, 106064, 153827, 44, 8498, 312, 130, 20, 36690, 45961, 44, 6, 4, 417, 5, 3888, 22509, 222, 21990, 38854, 6, 4, 414, 225775, 11373, 28008, 79225, 29, 6, 175154, 82363, 222, 238359, 3455, 21313, 130, 158369, 15526, 74386, 93262, 49, 34909, 35, 23808, 6, 5, 3499, 77343, 2715, 64456, 1874, 135557, 1006, 201499, 8118, 209, 1745, 183, 163786, 7171, 4682, 10998, 238359, 92261, 6, 5, 804, 2696, 49, 6, 105362, 103, 21013, 29, 6, 107098, 983, 24499, 6, 175154, 6, 13510, 1951, 7031, 483, 37654, 1258, 61, 2406, 3429, 2716, 6, 4, 690, 12504, 44, 2732, 201615, 225207, 989, 30984, 387, 84926, 44, 6, 5, 180497, 107043, 20, 99920, 111529, 6, 4, 414, 44, 11922, 135557, 1006, 180268, 40064, 93532, 419, 165710, 56291, 811, 16247, 105, 152738, 14171, 195215, 35, 215732, 154986, 559, 61, 10633, 35458, 6, 4, 35, 31459, 29776, 22238, 123954, 6, 4, 54344, 144554, 20, 31915, 1196, 6, 4, 518, 72070, 36406, 33111, 29, 6, 121326, 14809, 68096, 215732, 154986, 559, 44, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 1, -100, 2, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 1, -100, 2, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100 ]

[ 0, 901, 529, 123813, 20151, 79171, 20, 56869, 447, 120617, 44230, 5902, 8148, 6, 4, 4669, 9, 7330, 47316, 9363, 38006, 33584, 11514, 142269, 6, 4, 185537, 26169, 1270, 174542, 141647, 312, 21220, 5573, 8441, 44, 156371, 72162, 2225, 20, 21855, 44, 6, 4, 6, 3670, 58883, 7031, 183, 70138, 6, 4, 47554, 1196, 49, 41841, 59063, 1993, 6, 147927, 1082, 79285, 6, 4, 84, 2374, 90569, 29, 44230, 24499, 6, 109960, 72965, 5428, 49, 1450, 49361, 72907, 54441, 40748, 6, 5, 4356, 4135, 8870, 4768, 53094, 2958, 5235, 9122, 20, 20803, 103089, 242104, 59, 35, 4768, 23506, 529, 94316, 4558, 58, 19877, 312, 72162, 2225, 20, 21855, 44, 6, 4, 46627, 49, 128430, 152, 1203, 2792, 1741, 23984, 1006, 6, 44169, 59, 14276, 157951, 103, 182046, 6, 5, 216002, 227, 177462, 18293, 9, 35, 33611, 197, 106828, 312, 6, 4, 129, 13385, 102445, 2660, 8809, 44, 3858, 27042, 87462, 75951, 90531, 1114, 44, 6, 4, 135, 39730, 84486, 1041, 6, 4, 49, 19812, 12504, 35240, 8941, 232501, 2715, 6, 5, 137527, 2443, 21665, 303, 6, 4, 45096, 44683, 8809, 34710, 29611, 44230, 1711, 132, 1882, 677, 7638, 156954, 227, 76033, 197217, 695, 3433, 13390, 68146, 7044, 9685, 1625, 57878, 1388, 6, 4, 77, 407, 7044, 3806, 476, 35, 77, 228582, 103353, 89, 6, 4, 414, 29, 18999, 1882, 53048, 59, 98563, 6878, 235001, 227, 1089, 55907, 6, 5, 44, 91619, 65567, 30502, 407, 4703, 20, 27035, 830, 9, 13398, 2443, 21665, 303, 6, 5, 21199, 1266, 159315, 12826, 24744, 7179, 139425, 6, 63494, 983, 6, 4, 24651, 154941, 415, 29, 28435, 103, 8679, 551, 109665, 6574, 476, 49517, 76784, 152, 18178, 6, 4, 424, 29725, 4387, 153949, 28435, 6, 4, 15856, 4387, 3505, 135, 52189, 4768, 2699, 3693, 19306, 2819, 55732, 20803, 41942, 100114, 43996, 29, 28435, 103, 7638, 969, 131166, 21607, 103, 15, 32529, 135, 191589, 242104, 6207, 64716, 135990, 44967, 75541, 9561, 1388, 2819, 21313, 6, 4, 529, 48981, 59, 137282, 7044, 93163, 928, 29, 28435, 103, 6, 4, 4987, 3707, 17471, 212, 6, 5, 3858, 2743, 62561, 61, 1670, 56300, 6826, 6, 4, 129, 49372, 197264, 89, 6, 4, 70292, 28243, 118036, 105, 60389, 78785, 49813, 59, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 1, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 2, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 9504, 17260, 49, 417, 43223, 15459, 10849, 7638, 33520, 227, 16290, 83141, 227, 216053, 6, 5, 86625, 415, 1488, 1584, 66445, 1343, 49, 75096, 147486, 2715, 417, 43223, 15459, 8809, 143239, 147459, 178537, 6, 4, 79015, 193182, 44, 97836, 44, 184871, 124698, 178537, 40331, 51633, 559, 6, 5, 21199, 203120, 103, 6, 138457, 59650, 173385, 1281, 20, 77, 218, 1752, 25337, 2192, 10797, 40687, 6, 4, 11053, 312, 138964, 677, 106688, 183, 223829, 559, 57709, 6, 5, 101408, 424, 5308, 53737, 35669, 136985, 35, 8118, 73955, 6, 5, 193868, 3997, 158303, 86079, 59, 49, 6, 103737, 130, 26318, 232833, 8044, 407, 224009, 208167, 6, 4, 104245, 106688, 202295, 49, 41841, 184104, 29412, 68604, 6, 5, 5188, 3920, 201424, 79449, 84723, 227, 193182, 44, 97836, 44, 79015, 200093, 238453, 227, 48122, 212, 81062, 6891, 27288, 47660, 6, 5, 901, 1739, 66689, 6, 4, 44, 166476, 150849, 33689, 6, 4, 31131, 49, 148484, 5902, 8148, 152, 9542, 192397, 1093, 136985, 6, 4, 39689, 204489, 77, 3150, 2431, 81871, 6, 4, 22978, 91808, 1203, 154327, 53440, 183, 31397, 16833, 44, 6, 5, 901, 85093, 157592, 238453, 227, 6, 4, 44, 489, 61070, 6, 4, 40473, 26196, 407, 68020, 49, 417, 43223, 15459, 4446, 228999, 6, 4, 232501, 1595, 183, 184104, 39255, 86672, 20, 49, 107058, 34042, 28403, 20, 42469, 21541, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, 1, 0, -100, -100, -100, 0, 0, -100, -100, 1, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 1, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 417, 229110, 169489, 150174, 80046, 70576, 652, 45939, 551, 49, 38203, 168731, 103, 138718, 3281, 380, 173067, 5509, 83835, 6, 4, 11968, 58007, 7846, 17134, 5509, 165769, 24192, 6331, 9, 130, 6, 156605, 130, 21607, 640, 551, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 79171, 20, 14909, 6, 47871, 120617, 80046, 6, 4, 173067, 5509, 83835, 2120, 187110, 197, 29, 66203, 60769, 75398, 1269, 29, 93053, 20793, 59, 76425, 6, 4, 116, 6, 5, 901, 82191, 53448, 1270, 35736, 6, 83228, 159576, 2630, 195817, 8568, 6, 4, 49, 23085, 82427, 44, 417, 1009, 25805, 20, 73098, 2757, 800, 3712, 44, 61, 9687, 135, 423, 129, 953, 67165, 234290, 2699, 176807, 827, 6, 83228, 159576, 2630, 195817, 9403, 440, 4737, 117243, 103, 106, 100928, 6, 159353, 187706, 18102, 2120, 424, 57150, 328, 66566, 119798, 723, 173067, 17414, 2958, 113115, 35, 1105, 173067, 1196, 76126, 6, 4, 20, 79015, 89, 49, 53448, 2172, 242711, 6, 83228, 159576, 2630, 195817, 8568, 6, 5, 36933, 2574, 6, 4, 2120, 219533, 197, 116, 6, 128877, 142598, 6, 4, 424, 57150, 328, 305, 2357, 114200, 227, 150927, 37325, 64403, 175765, 6, 5, 1813, 4737, 117243, 103, 187706, 18102, 176807, 827, 6, 83228, 159576, 2630, 187110, 197, 138, 11937, 304, 114200, 227, 3577, 103, 7171, 41942, 559, 35, 6, 180730, 114200, 83688, 1270, 175765, 6, 5, 3499, 19592, 38482, 6, 149344, 129, 244, 35172, 29015, 187706, 18102, 6, 4, 424, 57150, 328, 6, 158976, 969, 1125, 58110, 35556, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 1, 0, -100, -100 ]

[ 0, 1522, 8489, 55712, 121307, 23033, 88650, 6880, 17993, 36686, 3280, 6, 163184, 3258, 57878, 6, 5, 901, 4641, 66689, 6, 4, 129, 7196, 59585, 20, 1097, 6, 145527, 103, 1714, 121973, 6, 5, 195817, 145281, 79260, 6, 4, 819, 79015, 89, 8865, 23581, 27673, 2582, 1882, 193182, 44, 97836, 44, 49, 79171, 20, 47745, 76097, 2542, 6, 4, 57283, 10041, 718, 139428, 743, 135, 591, 4401, 43417, 529, 109313, 1117, 168285, 42689, 6, 4, 78467, 3795, 135, 80157, 5930, 91188, 121307, 75062, 6, 5, 75579, 121307, 23033, 49, 119065, 4387, 30963, 424, 196507, 244, 529, 11403, 26730, 215178, 8809, 50406, 6, 5, 672, 415, 957, 336, 62095, 59, 6, 4, 49, 779, 245, 34959, 11891, 2699, 6, 4, 211663, 109012, 1551, 53686, 4135, 38236, 4281, 59, 141272, 89, 6, 4, 1266, 83694, 407, 150574, 1993, 151480, 255, 103737, 695, 230090, 35, 407, 62399, 86079, 1993, 77, 969, 225181, 90773, 25077, 559, 6, 5, 75579, 121307, 23033, 9395, 30963, 424, 91935, 559, 25077, 559, 33372, 50406, 141272, 89, 12850, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 1, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 1, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 166459, 96408, 19114, 79015, 59, 6, 4, 414, 29, 10757, 77, 66505, 65960, 12854, 13589, 74871, 312, 6, 4, 41976, 152780, 20, 6, 93705, 1768, 47435, 44, 42229, 7044, 130, 44, 6, 4, 238359, 1768, 13117, 44, 9363, 26112, 1560, 44, 35, 27617, 44, 15348, 59, 25963, 44, 6, 4, 2262, 5573, 1730, 6962, 140620, 59342, 14560, 135, 201185, 827, 129, 78903, 1041, 6194, 30083, 1086, 183, 8635, 165567, 50203, 5785, 44664, 1874, 82243, 6, 5, 21199, 12854, 13589, 74871, 312, 6, 4, 129, 529, 123813, 20151, 79171, 20, 56869, 44, 9363, 26112, 24501, 44, 6, 4, 67589, 6527, 183, 127435, 49, 28203, 2097, 244, 140620, 2257, 6, 5, 65960, 12854, 13589, 74871, 312, 4387, 207074, 49, 14560, 66129, 52398, 36954, 419, 140620, 2257, 6, 4, 3433, 13390, 105, 43705, 44, 10172, 1086, 183, 8635, 165567, 50203, 44, 49, 4932, 111, 2356, 5753, 6, 5, 9504, 17260, 49, 151976, 149551, 312, 79171, 103, 12854, 13589, 74871, 312, 22263, 2033, 547, 6, 4, 414, 129, 1739, 87037, 130, 6, 4, 61, 72337, 138, 2699, 5785, 4932, 111, 2356, 5753, 7638, 56985, 227, 49, 86626, 191516, 9953, 305, 97986, 559, 84926, 6, 4, 114594, 6, 4, 129, 1739, 66689, 6, 4, 33583, 77, 42627, 27830, 71255, 18135, 33330, 718, 183, 8635, 1120, 20151, 68023, 34900, 50203, 6, 5, 101408, 215790, 107725, 63892, 6, 4, 87831, 19626, 13237, 72553, 227, 183, 1086, 70594, 245, 57328, 1281, 6, 4, 168933, 89, 62344, 3795, 6, 87924, 105, 518, 50671, 54315, 559, 135, 230867, 827, 6, 5, 34257, 77, 22947, 6, 4, 62948, 24430, 3216, 159315, 78903, 135, 183, 8635, 96126, 130, 132661, 50203, 6, 4, 45147, 10582, 52516, 179441, 70067, 2557, 87225, 6, 4, 40473, 9765, 195777, 3433, 194268, 6, 5, 32275, 1874, 183547, 44823, 407, 2660, 6, 4, 414, 4768, 255, 160931, 3258, 57878, 2984, 30502, 407, 105483, 1794, 5902, 9439, 888, 129, 38319, 312, 30826, 49, 209, 20, 423, 97986, 559, 84926, 6, 5, 2 ]

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

[ -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 0, 0, 1, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, 1, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 1, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100 ]

[ 0, 3499, 957, 861, 2582, 2151, 6934, 2519, 3988, 419, 49, 9880, 35866, 415, 98542, 61, 141899, 407, 9228, 148387, 518, 69276, 21069, 41374, 244, 40269, 559, 19849, 9694, 154941, 415, 49, 9880, 35866, 928, 29, 49356, 4135, 2172, 4060, 336, 69987, 21533, 13, 6, 5, 417, 242697, 169489, 6, 4, 3216, 129, 60536, 123291, 6, 4, 49, 61321, 20793, 2374, 15, 62008, 141536, 55712, 1388, 6, 4, 49, 24863, 2172, 184050, 1993, 49, 42365, 2958, 41460, 45799, 6, 5, 131710, 59, 43282, 7031, 135, 150927, 130, 53821, 31104, 6, 4, 779, 79018, 89, 811, 27465, 424, 198480, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 49, 229110, 4060, 380, 1203, 4768, 98563, 10041, 66032, 49, 13442, 193737, 244, 183, 20793, 35310, 35, 178193, 6934, 2519, 52000, 34258, 49, 149220, 16266, 205, 6, 5, 20724, 1882, 8854, 10090, 9753, 1951, 4354, 6010, 6, 4, 414, 135, 6, 188685, 1768, 14171, 9880, 35866, 415, 94738, 61, 16760, 29, 141536, 89, 2395, 29, 66406, 51639, 84, 103300, 29170, 546, 6, 4, 7176, 6, 4, 129, 147587, 130, 18872, 112395, 92261, 6, 4, 326, 158263, 183122, 222, 129, 25390, 861, 17471, 14560, 6, 5, 901, 66689, 152067, 13117, 3980, 93, 1405, 50195, 59, 2693, 12910, 18269, 12276, 6, 4, 29, 4060, 336, 235596, 39218, 46950, 6266, 12276, 54412, 6, 4, 22978, 4406, 1752, 122477, 227, 35, 207053, 227, 105975, 72987, 66538, 6, 5, 7459, 1270, 424, 40269, 559, 20, 53804, 201360, 75429, 105, 49, 229110, 110251, 223578, 16833, 135, 34622, 9309, 328, 64783, 20, 9765, 23633, 63269, 135, 120677, 130, 6, 5, 5187, 214461, 2693, 12910, 551, 8427, 6, 4, 29, 17442, 23877, 6, 4, 2696, 1203, 1355, 67601, 25126, 118070, 424, 20, 61, 84, 103300, 59, 6, 103737, 43917, 27731, 69987, 21533, 13, 6, 4, 129, 67418, 11981, 46627, 69961, 49356, 4135, 5509, 4060, 380, 13117, 20, 4311, 7, 2320, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, 0, 1, -100, -100, 2, -100, -100, 0, 1, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 417, 229110, 49, 28344, 130, 156796, 103, 21220, 5573, 8441, 44, 76031, 197, 80046, 44, 107043, 20, 115165, 80046, 185248, 312, 107081, 25455, 79015, 6, 4, 414, 163955, 5593, 18731, 16662, 811, 93220, 1006, 1203, 224009, 232501, 1595, 49, 41841, 173067, 559, 49, 13387, 17414, 5119, 244, 35, 29, 5892, 36833, 7898, 27090, 650, 2687, 49, 52429, 2819, 1203, 68572, 7061, 87315, 158645, 227, 202295, 130, 35, 338, 20765, 73042, 6, 5, 901, 66689, 107081, 25455, 59, 6, 4, 13746, 106688, 989, 1093, 89815, 59, 6, 72522, 58007, 63422, 811, 87323, 197, 9953, 4082, 67201, 6, 4, 252, 71199, 103234, 224009, 49, 51231, 183, 2574, 6, 4, 47381, 2792, 186014, 89, 20, 2431, 7638, 811, 93220, 1006, 110284, 183, 209, 255, 2358, 21069, 28403, 6, 5, 417, 20755, 135, 24987, 6, 4, 87363, 107081, 25455, 6, 4, 235721, 80046, 70292, 107004, 71373, 8835, 222, 16833, 138423, 144675, 1114, 136985, 35, 20783, 9977, 39084, 29611, 6, 5, 4531, 5058, 79015, 6, 4, 414, 52805, 105, 4354, 15582, 2233, 44988, 129, 225498, 34911, 49, 211629, 6, 5, 44, 35524, 155700, 135, 188205, 419, 20, 59288, 3997, 57754, 4560, 87780, 44, 6, 5, 12382, 67356, 183371, 145797, 312, 12747, 6, 4, 690, 44, 1203, 80721, 6, 4, 3837, 11064, 2120, 133487, 1117, 6, 4, 2176, 1203, 41385, 29229, 63775, 830, 22474, 25734, 141941, 107043, 20, 115165, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, 0, 0, -100, 0, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, -100, 1, -100, -100, 2, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, -100, -100, 2, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 1, -100, -100, -100, 0, 1, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 1, 0, 1, -100, -100, -100, -100, 0, -100, -100, -100, 0, -100, -100 ]

[ 0, 387, 67165, 9953, 138, 31482, 79574, 129, 28276, 6194, 13686, 15, 305, 31482, 129, 52429, 1388, 49, 29898, 5902, 78440, 49899, 146249, 8809, 29611, 1435, 58231, 12544, 59, 6, 3670, 58883, 7031, 90953, 59, 82681, 50406, 31479, 65960, 59, 23568, 1996, 72736, 20, 9504, 31061, 49394, 72491, 23568, 1996, 72736, 6, 5, 12786, 82487, 551, 183, 6, 10998, 104348, 1993, 49, 117617, 12661, 4476, 6, 5, 9504, 31061, 23568, 1996, 72736, 45918, 7031, 190, 61263, 60775, 1070, 6, 5, 49, 73951, 143550, 56746, 10849, 6, 133563, 8809, 23600, 6, 5, 417, 44321, 1070, 6, 5, 148751, 59, 90762, 12635, 55841, 144451, 1082, 6, 83389, 153408, 2431, 6, 5, 1435, 5, 2354, 5, 5494, 419, 85558, 2946, 6, 5, 417, 47114, 1070, 6, 5, 20, 3738, 160931, 153408, 20, 84, 179199, 32529, 135, 30300, 1551, 29, 1739, 94364, 105, 49, 100699, 52086, 14229, 1041, 12635, 23307, 6, 4, 4851, 2792, 591, 88164, 1105, 2699, 6, 5, 9783, 2042, 196838, 49, 141647, 312, 26667, 35, 101736, 5711, 551, 2511, 234976, 2519, 6, 5, 417, 28506, 1070, 6, 5, 114872, 23568, 1996, 1794, 29532, 1741, 179199, 49, 165319, 6, 5, 2718, 20231, 2699, 6, 4, 4222, 65960, 23568, 1996, 26401, 25254, 119906, 3455, 34078, 1551, 156014, 76247, 45961, 6, 4, 9504, 31061, 23568, 1996, 72736, 71993, 551, 49, 1435, 47871, 6, 5, 901, 1316, 3516, 9504, 31061, 49394, 72491, 33309, 7031, 119626, 208470, 43270, 743, 6, 4, 4987, 170769, 146408, 157592, 31303, 59, 25896, 6, 4, 12672, 419, 4423, 67876, 53352, 6, 148996, 44683, 8809, 76880, 25896, 6, 5, 12786, 4987, 5058, 109012, 1551, 177326, 89, 44, 24223, 10235, 80605, 32187, 292, 145251, 44, 6, 4, 14925, 33309, 7031, 34622, 35343, 2151, 6, 10998, 1269, 827, 2519, 153, 901, 87037, 130, 18293, 106828, 89, 3580, 81634, 6, 4, 60828, 135, 41620, 130, 9504, 89, 2102, 23568, 48970, 90798, 3318, 255, 71066, 424, 1435, 58231, 12544, 59, 49, 165319, 326, 158263, 10416, 91917, 83118, 62705, 419, 6, 5, 34257, 1355, 62705, 419, 165616, 13287, 49, 165319, 30300, 35, 199141, 82487, 52516, 6, 5, 9504, 31061, 23568, 1996, 72736, 3318, 235413, 5672, 49, 52429, 29, 33317, 526, 47453, 1041, 1551, 6, 13119, 2303, 8875, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 1, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 1, -100, 0, -100, 1, -100, 2, -100, 0, -100, 1, -100, 0, -100, 1, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, -100, 2, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100 ]

[ 0, 102716, 5509, 19149, 137136, 244, 127796, 1196, 21259, 49, 105539, 8830, 41228, 244, 35, 116276, 93644, 8854, 244, 35253, 326, 8808, 87104, 1196, 161057, 32187, 811, 957, 1752, 546, 30865, 358, 12544, 3280, 197530, 181817, 29, 33762, 6592, 1980, 2192, 53173, 35, 232833, 6314, 2042, 171715, 105, 55134, 25455, 969, 186232, 212, 140998, 159693, 3407, 8809, 68609, 98361, 6, 5, 241110, 3455, 25873, 419, 25254, 54434, 52742, 407, 31264, 11485, 4544, 718, 47745, 2042, 89574, 44, 144387, 312, 80018, 1417, 2509, 44, 180924, 137136, 244, 743, 380, 52516, 6, 4, 23858, 17330, 211151, 49, 51464, 4256, 6, 5, 5188, 3920, 79015, 197, 23294, 529, 237907, 29, 44, 28276, 3795, 37280, 1041, 44, 804, 72359, 20, 36690, 45961, 35, 21220, 5573, 8007, 44, 76031, 197, 80046, 44, 6, 5, 1089, 6592, 75703, 6, 4, 414, 49, 152280, 103, 3699, 150761, 217356, 21758, 36274, 13007, 1584, 989, 78214, 44, 55134, 1270, 179563, 44, 6, 5, 417, 66716, 212, 10698, 3318, 38393, 2454, 49, 123864, 197, 141013, 31148, 98732, 152, 79698, 89, 6, 4, 33317, 312, 193703, 1993, 6, 4, 93224, 103, 6, 4, 68516, 89, 35, 29, 1509, 16960, 1269, 6, 5, 1087, 132284, 197, 5058, 6, 4, 414, 16206, 3318, 34089, 8875, 380, 35, 29, 30296, 6, 191210, 1768, 96565, 6, 5, 77002, 424, 214233, 90870, 3407, 29, 54126, 20, 44, 80018, 166958, 44, 106843, 6, 4, 106064, 78210, 9694, 79171, 59, 6, 5, 2 ]

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

[ -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 1, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 672, 54064, 185987, 49, 1450, 957, 64393, 229110, 79171, 20, 150451, 39061, 217163, 131567, 23241, 44494, 67196, 59, 2842, 197, 29078, 59637, 57207, 8568, 23241, 20, 6, 163308, 185248, 312, 4328, 358, 18169, 83694, 6, 4, 414, 129, 15921, 27319, 33825, 144554, 312, 197516, 135, 18449, 28196, 312, 191600, 989, 1145, 116416, 4018, 99634, 2192, 90737, 6, 5, 901, 1739, 66689, 6, 4, 1145, 164360, 52981, 61373, 14448, 2757, 800, 3712, 7246, 31825, 82427, 4988, 142797, 21758, 28832, 983, 35, 1725, 45759, 29, 30724, 18449, 19910, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 90737, 3318, 77294, 1117, 12826, 10633, 35458, 2519, 6, 5, 901, 66689, 185248, 245, 4328, 358, 31905, 6, 4, 29, 94447, 20620, 103, 3516, 14219, 79885, 2454, 6, 121326, 6103, 147000, 195817, 35, 36788, 380, 20, 151852, 1874, 31818, 227, 63091, 8441, 20, 1725, 36334, 2519, 3318, 112070, 17442, 34664, 83632, 35, 86168, 8808, 1741, 141642, 983, 5785, 87114, 24410, 3795, 193275, 135, 18449, 28196, 312, 6, 5, 4328, 358, 18169, 214461, 6, 4, 414, 100660, 99634, 1270, 90737, 59, 9395, 77, 149970, 1656, 10582, 1857, 75442, 87225, 6, 4, 252, 15582, 2151, 13299, 130, 33689, 6, 4, 77294, 43705, 36029, 48837, 6, 4, 132281, 103, 6, 4, 6, 203618, 103, 35, 22238, 66917, 44, 6, 5, 901, 1739, 66689, 6, 4, 3216, 12504, 44, 93976, 2557, 5902, 35, 252, 16823, 8570, 92860, 5902, 45086, 1281, 183, 82860, 138466, 13962, 3216, 7572, 68483, 117590, 29, 73869, 244, 90023, 244, 197516, 135, 18449, 28196, 312, 44, 6, 5, 61045, 59, 19951, 235899, 989, 49, 77828, 3699, 3577, 103, 29532, 71302, 6, 4, 23241, 214461, 6, 4, 414, 22793, 3873, 4019, 983, 3670, 20, 111034, 28008, 84, 21195, 29, 15479, 32369, 44, 119626, 129, 3577, 32822, 12202, 35, 1688, 49, 18334, 130, 7904, 129, 11373, 6194, 139428, 743, 6, 5, 5188, 9430, 83398, 518, 29, 199826, 34050, 559, 24111, 174788, 138466, 35, 255, 4968, 12626, 138466, 135, 6010, 6, 4, 3077, 13524, 13713, 3410, 129, 13170, 25514, 11373, 1270, 38850, 44, 6, 4, 20, 13398, 1266, 6, 5, 36933, 2574, 6, 4, 4328, 358, 18169, 83694, 6, 4, 414, 48122, 128170, 2842, 197, 29078, 59637, 21259, 8568, 77, 13524, 39648, 1730, 44, 29, 20638, 2192, 59956, 14448, 2757, 800, 3712, 7246, 31825, 82427, 4988, 3577, 32822, 2697, 35, 29, 30724, 18449, 19910, 44, 6, 5, 1813, 3920, 236442, 326, 103, 73909, 2549, 67589, 6527, 130641, 1117, 84820, 103, 121690, 33846, 29, 20638, 1857, 82427, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 1, 2, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]

[ 0, 193868, 3997, 158303, 109810, 59, 23294, 326, 167053, 1068, 226, 13701, 86162, 44, 1089, 24397, 124998, 61987, 559, 22776, 49, 52137, 1214, 44, 6, 5, 829, 67558, 13053, 591, 67492, 2946, 1219, 116, 8821, 141558, 6, 4, 4988, 9, 201, 6, 4, 11125, 15919, 59, 125867, 77, 2120, 6, 5, 25328, 197, 101327, 33520, 29, 197, 225697, 2715, 123931, 59, 158108, 18102, 6, 4, 125244, 1196, 208167, 89, 49, 17355, 74871, 103, 61987, 227, 35, 29, 58907, 21967, 154693, 6, 5, 5187, 150810, 49, 227338, 103, 6, 4, 518, 127530, 73932, 19596, 44, 16753, 49108, 87225, 650, 8899, 75703, 49108, 49647, 27833, 2233, 78412, 1114, 24397, 36062, 652, 13119, 559, 49, 27617, 244, 44, 6, 5, 417, 78412, 4256, 13995, 6, 18655, 640, 1203, 82243, 8568, 6, 4, 3837, 116083, 529, 61987, 1281, 38850, 6, 5, 1087, 54064, 42036, 29, 105, 44548, 49, 78412, 1993, 8544, 77, 137083, 156360, 69366, 1117, 231158, 11875, 22776, 326, 61987, 227, 6, 5, 5187, 150810, 49, 13053, 103, 6, 4, 78412, 1114, 24397, 32302, 155314, 652, 13119, 1891, 928, 27617, 6, 4, 54064, 76240, 105, 29, 84, 44548, 49, 78412, 1993, 6, 4, 100625, 105, 16247, 888, 52217, 129, 1739, 61987, 1258, 49, 107058, 152, 805, 97513, 110284, 61987, 559, 6, 4, 779, 77, 5138, 13484, 29717, 1270, 88478, 213372, 695, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 78412, 1993, 105581, 61987, 1891, 4281, 2819, 2510, 97513, 110284, 61987, 559, 6, 4, 26064, 227, 2180, 31877, 13484, 29717, 2192, 25068, 213372, 695, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 78412, 1993, 6962, 61987, 1891, 4281, 6, 4, 779, 77, 5138, 5316, 9, 29717, 1270, 88478, 213372, 695, 88478, 127523, 73976, 59, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 10190, 28551, 11519, 6962, 61987, 1891, 4281, 2819, 836, 97513, 110284, 61987, 559, 6, 4, 26064, 227, 2180, 31877, 5316, 9, 29717, 2192, 25068, 213372, 695, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 209307, 178385, 78412, 1993, 105581, 61987, 1891, 4281, 6, 4, 779, 77, 5138, 4382, 9, 29717, 1270, 25068, 1281, 2493, 34664, 88478, 127523, 26287, 6, 4, 29514, 1270, 29, 6365, 16247, 2549, 5930, 13617, 178385, 78412, 89, 2519, 6962, 61987, 1891, 4281, 6, 5, 417, 104939, 102356, 61, 43270, 743, 78412, 1993, 35, 811, 18954, 8458, 103, 1417, 1488, 677, 37083, 129, 77733, 22573, 175492, 22937, 24397, 36062, 652, 13119, 559, 22776, 49, 27617, 244, 191600, 989, 54982, 77416, 16117, 6, 5, 417, 2790, 652, 4947, 1343, 129, 58601, 97739, 743, 183, 50406, 9403, 6, 4, 128530, 6929, 5840, 6, 4, 92364, 424, 84723, 128810, 206318, 9403, 6, 4, 3693, 152067, 512, 161679, 8568, 6, 4, 201, 152067, 183, 58907, 6, 4, 54064, 36689, 29, 108393, 3407, 78412, 1993, 6, 4, 252, 5058, 13022, 78412, 1993, 6, 5, 25328, 33520, 29, 255, 18954, 928, 49, 45948, 19776, 36954, 518, 4641, 105046, 2395, 43155, 164668, 49, 51571, 1551, 6, 4, 187738, 130, 2390, 226, 13701, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100 ]

[ 0, 829, 70067, 2557, 11519, 135, 35, 380, 17181, 11231, 217163, 131567, 76424, 1270, 116265, 1082, 110984, 70993, 197, 20, 32275, 1857, 186734, 1857, 67395, 45267, 72472, 131771, 11231, 106392, 21069, 177540, 559, 6, 5, 417, 229110, 1266, 232969, 176807, 827, 70993, 1270, 35, 198859, 197, 20, 32275, 1270, 104494, 43434, 3823, 6, 5, 5187, 79015, 89, 23294, 193182, 44, 97836, 44, 49, 58727, 197, 111795, 71141, 161767, 43812, 20, 6, 51896, 59, 6, 4, 49, 68642, 24744, 30102, 78785, 3433, 13390, 68146, 181262, 6, 4, 414, 109665, 652, 957, 4774, 120553, 90938, 88104, 67395, 45267, 72472, 49, 24950, 20, 6, 4256, 60452, 32560, 336, 695, 2699, 61, 119880, 103, 213506, 183007, 180079, 1082, 144844, 2542, 6, 4, 819, 49, 16247, 1595, 2958, 49, 164261, 6, 4, 1145, 35, 811, 16247, 1595, 2958, 61, 4641, 55664, 227, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100 ]

[ 0, 80880, 41991, 135, 178106, 130, 36560, 24438, 8635, 40087, 529, 35130, 50252, 20733, 252, 7878, 50121, 205, 6, 4, 116058, 90569, 129, 15983, 336, 6, 4, 43592, 212, 29, 151075, 103, 61, 86075, 135, 36329, 1768, 21069, 84926, 6, 4, 79015, 197, 153827, 62, 10798, 118, 27686, 21072, 6, 5, 672, 65170, 6, 105192, 58007, 89, 62669, 6, 4, 414, 28081, 41991, 4987, 135, 73144, 212, 529, 35130, 50252, 20733, 6, 4, 779, 3258, 559, 38974, 65457, 194747, 89, 6, 4, 62024, 40403, 58711, 25300, 28727, 9296, 6, 4, 32915, 15158, 29078, 83118, 113473, 419, 16846, 77, 119683, 43480, 9, 109359, 414, 156721, 20, 44051, 13475, 54441, 380, 129, 119536, 1086, 73144, 6, 5, 15983, 54153, 194747, 1041, 161581, 29, 12143, 49, 32158, 8165, 6, 4, 4222, 252, 7878, 50121, 222, 217159, 804, 800, 17831, 237702, 440, 3635, 47952, 49, 23085, 41322, 145109, 45697, 8809, 6, 204209, 1082, 51410, 2033, 44, 107184, 13386, 44, 6, 5, 804, 800, 17831, 237702, 12332, 2958, 3146, 154941, 751, 129, 38974, 65457, 212787, 6, 5, 140782, 28081, 53177, 20, 305, 29, 427, 6, 82907, 312, 21958, 6, 4, 637, 66032, 423, 29, 496, 192730, 559, 6, 5, 804, 800, 17831, 44405, 59131, 4641, 529, 35130, 50252, 20733, 6, 4, 14239, 414, 3151, 35130, 3988, 144279, 135, 13746, 67453, 135624, 130, 214209, 29, 15983, 336, 6, 5, 80880, 41991, 18637, 39595, 63133, 130, 6, 38962, 130, 424, 64110, 55792, 44, 216985, 244, 84274, 136593, 44, 6, 4, 811, 71066, 1196, 29, 151075, 103, 39967, 13, 49, 1450, 49361, 72907, 238581, 6, 5, 417, 54412, 130, 129, 115257, 25254, 84557, 43996, 143043, 35130, 3988, 144279, 10604, 551, 6871, 130, 7878, 35464, 6, 4, 43592, 38964, 129, 115257, 68388, 135, 36329, 1768, 21069, 84926, 6, 5, 672, 35130, 50252, 58833, 3549, 5058, 36560, 24438, 723, 40087, 529, 49, 52189, 2151, 8679, 14809, 6871, 130, 7878, 35464, 6, 5, 4531, 132428, 12826, 33641, 3407, 53951, 1857, 70803, 6, 5, 19821, 4485, 44, 165616, 159976, 424, 164319, 59, 44, 7638, 112555, 95651, 227, 589, 59388, 6546, 559, 108912, 31646, 105, 6, 4, 65759, 241854, 1725, 237412, 37495, 35, 28727, 9296, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 1, -100, -100, 2, 1, 2, 2, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 190392, 1041, 103089, 32347, 3670, 141013, 123517, 142797, 227, 49, 63326, 20, 6, 71244, 103, 6, 4, 14925, 108718, 49, 187432, 1214, 7843, 969, 181572, 44, 146844, 52883, 22146, 18846, 2716, 677, 20, 10032, 24940, 1417, 830, 172847, 47177, 6304, 49, 56126, 6467, 49, 811, 156069, 91917, 103, 6, 4, 129, 244, 35172, 13701, 6826, 6, 4, 28678, 35458, 1214, 35, 969, 861, 3737, 1214, 6, 5, 5187, 181866, 989, 49, 104650, 2172, 49, 2042, 336, 1125, 65055, 129162, 1993, 591, 74594, 78917, 6, 191210, 1082, 103380, 63326, 20, 6, 71244, 59, 6, 4, 129, 186543, 29, 1097, 6, 4, 145273, 77472, 3433, 132833, 4684, 29, 135, 45093, 175806, 4060, 1041, 89, 6, 5, 829, 6346, 48981, 40342, 142598, 2431, 21388, 81966, 5719, 129, 6592, 49700, 60834, 129131, 6, 5, 829, 68295, 6103, 29440, 6, 4, 29, 33763, 2431, 14219, 33739, 227, 121690, 189756, 6, 4, 23494, 54064, 2454, 49, 196507, 103, 3146, 57443, 6, 5, 94483, 227, 44, 88966, 227, 44, 20, 41976, 25805, 154888, 22146, 18846, 94078, 6, 4, 40331, 56370, 24940, 1417, 6, 4, 216784, 5957, 10788, 6, 4, 120276, 4910, 105, 1447, 559, 6, 4, 40331, 123831, 312, 7365, 35, 135694, 812, 6346, 2364, 11409, 6346, 20, 407, 68539, 62852, 49, 1332, 743, 20, 3470, 3712, 698, 7765, 161057, 170852, 35, 44109, 7, 6, 4, 4851, 7044, 861, 93337, 150849, 32347, 3670, 141013, 77892, 100178, 227, 6, 5, 5758, 8466, 33309, 7031, 139055, 1730, 419, 6, 4, 121320, 419, 61, 9753, 26730, 135, 66072, 60787, 811, 11355, 59, 6, 4, 252, 5058, 501, 10698, 419, 195996, 11519, 6, 4, 17843, 6, 4, 407, 71405, 143542, 6, 743, 26813, 800, 1270, 101938, 6, 5, 84241, 1752, 1584, 9159, 6878, 6, 4, 414, 129, 81187, 29034, 49, 44109, 7, 234570, 88129, 559, 6, 4, 29846, 19951, 39928, 56102, 1117, 1725, 28243, 2716, 25455, 6, 5, 107920, 6, 4, 440, 1882, 93804, 89, 206857, 702, 45799, 26730, 6, 5, 44, 146844, 52883, 44, 129, 43136, 49, 27662, 60128, 919, 16312, 4768, 10090, 10573, 743, 10586, 2699, 6, 4, 4222, 49328, 424, 52218, 811, 156069, 123546, 55428, 6878, 718, 18731, 18419, 61, 34622, 6, 5, 589, 23774, 415, 61, 1714, 13539, 86783, 6, 4, 61066, 187432, 59, 6, 4, 811, 52829, 41976, 12780, 35, 223957, 123020, 6878, 66032, 5532, 6, 5, 145263, 1725, 92228, 62852, 35, 49, 6, 133419, 103, 9571, 2699, 2262, 57150, 106380, 6737, 112288, 130914, 129131, 6, 4, 54064, 101253, 424, 5684, 165108, 6, 5, 5187, 181866, 989, 49, 129162, 1993, 591, 74594, 78917, 6, 4, 115350, 49, 170370, 5902, 42816, 49, 51752, 103089, 32347, 3670, 141013, 123517, 142797, 227, 4387, 7171, 1488, 812, 141036, 19776, 25328, 407, 186274, 135, 29356, 827, 6, 4, 33309, 104335, 989, 139055, 1730, 419, 35, 8865, 46414, 82112, 6, 5, 9504, 17260, 1266, 53821, 35797, 151120, 1041, 24896, 6527, 49, 239535, 13701, 15777, 220116, 5902, 193712, 89, 49, 1709, 59273, 1269, 6, 4, 14239, 414, 50827, 440, 137753, 718, 88375, 77, 234438, 90216, 29751, 142598, 6, 4, 779, 35, 41976, 27055, 1714, 13539, 1196, 64312, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, 1, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 1, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 1, 0, 1, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]

[ 0, 5188, 3920, 83694, 49, 64230, 103, 41976, 175039, 15126, 476, 11519, 6, 4, 200093, 105677, 238453, 227, 129, 811, 178035, 12206, 559, 8865, 46414, 8441, 40331, 110765, 92261, 6, 5, 417, 120496, 15126, 476, 11519, 49, 14560, 440, 73672, 217163, 157592, 6, 30363, 8809, 147459, 129, 69530, 6, 4, 105189, 130, 6, 4, 27617, 130, 35, 6, 81660, 1258, 137527, 238434, 6, 4, 252, 5058, 33567, 238453, 227, 56110, 983, 20992, 1417, 15057, 2557, 6, 4, 7176, 29, 67558, 8270, 9395, 38106, 2151, 98326, 146408, 175039, 22239, 6, 4, 6, 190058, 811, 121973, 61, 49623, 28832, 197, 29, 28203, 2097, 244, 6, 5, 901, 66689, 56110, 1114, 20992, 1417, 15057, 8489, 6, 4, 1739, 811, 121973, 3318, 127815, 197, 6, 4, 157564, 17896, 6, 4, 74326, 1086, 9430, 24214, 3410, 80305, 8568, 35, 14560, 49, 186274, 135, 8865, 46414, 82112, 6, 4, 14925, 9395, 86626, 8095, 1768, 518, 8808, 43475, 6, 5, 208494, 89, 238453, 227, 14219, 5058, 440, 24178, 85896, 29, 167727, 87730, 28203, 2097, 244, 49, 36954, 103, 129, 27617, 130, 35, 6, 81660, 1258, 84723, 227, 132943, 114516, 2257, 35, 86079, 227, 129, 6, 192475, 1993, 127318, 235721, 238453, 227, 969, 8492, 2192, 54939, 129, 52667, 105, 129993, 29, 77390, 11284, 85977, 6, 4, 3837, 14219, 183579, 49, 68642, 28203, 1394, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, 1, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 1, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 1, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 44308, 105, 162412, 179402, 89359, 1089, 155125, 89, 60769, 158234, 48844, 35, 63214, 164263, 105539, 8830, 41228, 244, 21259, 228226, 89, 187969, 1086, 75566, 130, 30161, 103, 1089, 34640, 6, 5, 50876, 2732, 3318, 44292, 2454, 17059, 22259, 419, 129, 96824, 48844, 35, 150527, 183014, 103, 55616, 6, 5, 87956, 228226, 89, 63016, 312, 31843, 6, 151875, 1009, 22835, 25455, 8639, 35789, 3374, 1891, 35, 71226, 211455, 105, 31877, 145871, 60769, 158234, 48844, 536, 3281, 130, 18449, 928, 135, 23506, 22239, 6, 4, 35, 128379, 105539, 8830, 41228, 244, 21259, 1537, 18654, 29482, 18633, 10032, 736, 14307, 35, 132782, 31877, 174001, 341, 61692, 24186, 698, 168641, 6546, 135, 22718, 6, 5, 64872, 13192, 15856, 4387, 3505, 122318, 4768, 49, 242697, 6, 5, 4946, 14758, 2120, 143549, 6, 4, 27390, 182860, 197, 31915, 60303, 341, 61692, 235721, 1089, 34640, 6, 5, 218116, 227, 1145, 35, 77, 176283, 84, 13702, 3410, 73013, 89010, 245, 6, 4, 35, 19011, 122318, 1114, 32480, 4387, 83280, 5969, 4768, 29, 16357, 103, 649, 14160, 6, 5, 65346, 4018, 71226, 211455, 105, 31877, 174001, 20292, 49, 53848, 447, 27579, 546, 111853, 23569, 6, 35308, 226232, 135, 201167, 827, 31843, 1281, 16846, 12332, 5145, 174412, 6, 5, 5494, 59383, 3738, 5434, 89359, 1089, 34640, 70222, 197, 181817, 29, 159411, 751, 35, 80816, 63922, 201350, 695, 228407, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, 1, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 129056, 20, 40010, 128530, 8568, 21996, 107371, 6714, 228226, 49, 229110, 128815, 128530, 117742, 812, 2172, 110161, 1993, 64456, 1196, 135557, 303, 29, 96343, 6, 4, 144448, 120181, 9471, 28671, 1698, 8571, 222, 6, 5, 1721, 60834, 2042, 12758, 27183, 45105, 23299, 49, 33969, 5785, 361, 27091, 3738, 1739, 22474, 52189, 1114, 6, 4, 19011, 20850, 32739, 135557, 303, 77, 42905, 6, 5, 3858, 2743, 65915, 29, 13962, 193182, 44, 97836, 44, 6, 4, 77567, 21990, 214461, 6, 4, 414, 4968, 6794, 64456, 1196, 135557, 303, 77, 18135, 61228, 97373, 135, 11373, 139825, 24940, 1281, 29, 6, 175154, 6, 5, 25369, 1266, 77, 13524, 39648, 1730, 6, 4, 414, 158760, 3318, 811, 99087, 303, 48744, 214966, 88478, 135557, 303, 49, 51231, 183, 28727, 29, 11373, 92692, 68096, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, 2, -100, 0, 1, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 1, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 188719, 20803, 31482, 779, 1891, 135, 229110, 59, 29, 158263, 49, 12578, 1768, 67201, 103, 29, 94447, 141630, 103, 9037, 53373, 66102, 106, 129, 144451, 4045, 190758, 105, 49, 6, 186143, 67601, 45799, 6, 5, 5187, 79015, 89, 193182, 44, 97836, 44, 529, 237907, 29, 79171, 20, 90466, 53448, 1270, 35736, 51936, 57231, 219873, 1857, 56869, 195817, 9403, 6, 4, 98563, 159976, 49, 67201, 103, 16357, 103, 75429, 35, 3146, 81939, 90229, 546, 6, 4, 63314, 8118, 6, 4, 424, 20, 61, 183, 13510, 17425, 25057, 56246, 6, 5, 1089, 695, 8870, 121320, 3873, 143862, 49, 387, 69669, 1196, 138199, 49, 81402, 336, 35, 115888, 103, 6, 5, 901, 13385, 804, 72359, 20, 36690, 45961, 6, 4, 92548, 91188, 33309, 6878, 116, 45799, 1196, 54315, 59, 6, 5, 67353, 2707, 235091, 4387, 60300, 81646, 6, 5, 672, 7900, 129308, 3146, 88966, 227, 44, 18777, 312, 40687, 44, 6, 5, 3743, 121124, 64257, 135712, 81250, 65718, 989, 2530, 4641, 18620, 29626, 312, 1269, 6, 5, 1813, 1891, 1006, 45799, 59, 11004, 77, 29514, 227, 6, 4, 111529, 89, 49, 79171, 20, 47745, 195817, 6, 5, 901, 2262, 30102, 70209, 173327, 3433, 13390, 68146, 6, 4, 45799, 42393, 197, 29230, 424, 20, 61, 33762, 150826, 1270, 141452, 135, 150927, 130, 969, 5347, 9279, 63671, 30352, 205, 29751, 135712, 6, 5, 2 ]

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

[ -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 1, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 1, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 1, 0, 0, -100, 0, -100, -100, 0, 1, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 19711, 63162, 89, 7133, 8007, 22776, 129, 51360, 1725, 215012, 6, 4, 49672, 723, 245, 64089, 14157, 49, 52429, 6, 4, 44, 77, 171905, 141036, 1041, 6194, 47650, 42056, 91917, 105, 44, 6, 5, 5188, 3920, 23294, 83694, 29, 79171, 20, 150451, 652, 52429, 217163, 131567, 3512, 83146, 380, 20, 33286, 13682, 35736, 132, 3823, 2354, 3159, 1388, 195817, 8568, 21996, 29148, 652, 56746, 6, 5, 29148, 652, 56746, 29, 41883, 547, 6, 4, 414, 1741, 63162, 89, 7133, 8007, 49, 52429, 83280, 19739, 255, 2588, 67165, 35, 6, 4, 129, 33762, 54671, 78285, 82191, 6, 4, 29, 23294, 4641, 4768, 83709, 27465, 9953, 209, 21069, 35, 380, 26065, 1315, 34597, 6, 4, 90732, 131943, 49, 211629, 6, 5, 3858, 2743, 65915, 29, 34819, 8865, 23581, 27673, 2582, 10788, 407, 23334, 312, 1757, 50628, 11519, 424, 7572, 546, 4558, 22776, 6, 4, 77, 236077, 244, 1741, 63162, 89, 7133, 22959, 6, 4, 1266, 111529, 6, 4, 414, 58, 205, 32511, 89703, 9395, 117874, 35, 12504, 77, 440, 124270, 44, 6, 5, 4531, 130641, 547, 6, 4, 414, 6, 4, 57652, 154327, 1041, 11312, 6, 4, 22776, 103, 6, 4, 440, 4682, 1120, 23969, 49, 107544, 27984, 227, 8568, 6, 4, 49, 2660, 20068, 35, 49, 165319, 4, 58, 6737, 41462, 227, 138180, 165862, 51984, 129, 51360, 213229, 3107, 129, 51360, 215012, 44, 6, 5, 21199, 6, 4, 214461, 128379, 2429, 2354, 3159, 4, 58, 167312, 2557, 137083, 69378, 38086, 1117, 19011, 12480, 51984, 44, 6, 5, 103830, 2574, 6, 4, 29148, 652, 56746, 130641, 547, 6, 4, 414, 6, 4, 57652, 141036, 1041, 6194, 47650, 105, 13867, 2699, 44, 1089, 31497, 103, 1741, 141642, 1114, 22776, 9403, 44, 6, 4, 31646, 7044, 158958, 49, 8568, 183, 1488, 812, 6, 4, 252, 93625, 44, 77, 9395, 6737, 245, 1323, 60769, 44, 6, 5, 2443, 2188, 2395, 1941, 51984, 27710, 226051, 49197, 200438, 47650, 419, 6, 5, 36933, 2574, 6, 4, 57652, 236561, 9403, 6, 4, 37441, 103, 197, 225201, 2715, 5999, 35, 31497, 187793, 23334, 2530, 29, 103897, 1993, 164299, 22996, 6, 5, 417, 58858, 7904, 1741, 63162, 89, 7133, 8007, 18846, 4286, 78285, 50370, 77, 6, 31397, 60407, 44, 6, 4, 20, 111529, 21996, 29148, 652, 56746, 6, 5, 21199, 6, 4, 111529, 1266, 6, 4, 27984, 54976, 12747, 9072, 105, 3516, 7572, 62561, 47638, 51984, 6, 4, 414, 35, 91369, 197, 6, 4, 49, 71007, 6, 4, 49, 26062, 10849, 2743, 6, 5, 1813, 3920, 6, 4, 216793, 29148, 652, 56746, 6, 4, 44, 37584, 150219, 137083, 197, 7044, 110100, 27224, 20850, 163955, 1009, 18731, 2519, 819, 77, 6346, 85979, 11312, 23969, 141036, 1041, 6194, 154327, 1041, 11312, 44, 6, 4, 235714, 255, 29440, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0 ]

[ 0, 105714, 105, 44653, 44664, 1874, 116965, 326, 158263, 217682, 4684, 47172, 165324, 407, 25862, 1214, 152280, 695, 218697, 1114, 2578, 118036, 8489, 49, 228323, 7765, 35, 41374, 244, 27617, 244, 6, 5, 70109, 42416, 103, 104633, 212277, 56291, 85946, 89, 98260, 53862, 6, 4, 41346, 129, 20, 6, 147944, 77, 106064, 989, 1688, 407, 113698, 221864, 2172, 114088, 130, 15126, 6, 4, 252, 63946, 419, 13385, 153508, 989, 44, 10090, 67333, 5969, 1874, 8775, 44, 6, 4, 1093, 191654, 35, 1488, 35, 23494, 34478, 6, 5, 39466, 9694, 581, 19114, 106064, 407, 2660, 6, 4, 414, 49, 27662, 60128, 41374, 244, 241151, 34900, 54039, 129, 36530, 77, 18245, 25862, 49, 228323, 7898, 143331, 6, 4, 127754, 312, 29, 80467, 168430, 312, 44, 26396, 551, 1006, 1729, 17471, 57232, 44, 6, 5, 901, 38854, 4256, 179779, 1196, 166192, 6, 4, 29, 3837, 243211, 4354, 90559, 6, 4, 969, 8679, 14809, 26396, 551, 1006, 6, 68668, 65796, 199141, 35, 16117, 7405, 2578, 118036, 8489, 239651, 6, 5, 72957, 245, 26396, 551, 1006, 1729, 17471, 57232, 6, 4, 819, 529, 109313, 4684, 8865, 23581, 27673, 2582, 1584, 19114, 6, 4, 94393, 32302, 49, 78210, 7898, 63972, 103, 67823, 6, 4, 114594, 49, 22326, 40341, 4641, 192692, 36858, 227, 6, 8835, 128898, 1584, 170525, 59, 16515, 25029, 83891, 59, 6, 4, 7176, 6, 4, 49, 8914, 44515, 6, 4, 9395, 30300, 1551, 76813, 3007, 65743, 112298, 650, 6, 4, 84, 178757, 1857, 76903, 424, 4932, 111, 2356, 5753, 49, 20755, 135, 85096, 130, 44, 78903, 419, 93096, 423, 97986, 559, 44, 6, 5, 16515, 2757, 83891, 6, 4, 129, 70710, 1114, 130, 116965, 6, 4, 78467, 135, 43270, 743, 13117, 30543, 425, 6, 4, 49672, 162412, 129898, 419, 1874, 110284, 5785, 1332, 743, 20, 3470, 3712, 698, 21967, 154693, 6, 5, 44, 417, 77828, 3699, 6171, 80432, 36129, 407, 20755, 5842, 255, 25734, 18372, 50406, 2578, 118036, 8489, 35, 127755, 419, 83891, 419, 44, 6, 4, 20, 181866, 90559, 6, 5, 417, 129131, 47190, 121450, 32369, 12197, 79171, 20, 34078, 245, 47156, 52400, 5902, 91791, 152, 44, 1509, 77, 19458, 6, 4, 7193, 38023, 215895, 1729, 17471, 57232, 6, 5, 1509, 2530, 19458, 6, 4, 414, 1688, 84, 50406, 6, 4, 1688, 84, 1739, 255, 1794, 27055, 6171, 58907, 7765, 186234, 637, 122614, 20, 27035, 35, 1270, 73955, 61, 10633, 35458, 419, 44, 6, 5, 901, 70710, 4256, 153898, 312, 45697, 5902, 116965, 2356, 5753, 19114, 6, 4, 49, 27662, 60128, 6, 81552, 2519, 424, 4560, 58382, 6, 4, 235899, 44, 10172, 4932, 111, 2356, 5753, 44, 6, 4, 129, 44106, 58907, 21967, 154693, 131567, 447, 148996, 7843, 827, 50406, 9403, 174051, 171280, 55953, 35, 210, 1343, 245, 2578, 118036, 8489, 228162, 59, 1729, 17471, 57232, 6, 5, 5832, 1882, 42689, 424, 179779, 1196, 166192, 90559, 154600, 1730, 819, 44, 75854, 3795, 44, 6, 5, 166459, 128844, 12197, 6, 123967, 1114, 4910, 136458, 212, 6, 4, 40594, 90569, 6, 4, 414, 84, 2578, 118036, 8489, 35, 1739, 255, 1794, 27055, 6171, 180079, 2958, 58907, 7765, 186234, 6, 5, 4910, 136458, 303, 440, 3920, 111529, 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 ]

[ -100, 0, 0, 0, 0, -100, 0, -100, 1, -100, 2, -100, 0, -100, -100, 0, -100, 0, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 1, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 1, 0, -100, 0, 0, -100, 1, 0, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 1, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 1, -100, -100, -100, 2, -100, 2, -100, 0, -100, 1, -100, -100, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 1, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 1, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 0, 1, 0, -100, -100 ]

[ 0, 12459, 20803, 184743, 93527, 139425, 35921, 109375, 195799, 695, 55692, 59, 90984, 476, 17524, 51192, 244, 135, 14560, 20, 44, 200219, 20917, 44, 35, 44, 948, 13135, 3516, 312, 44, 6, 4, 27187, 6, 4, 86326, 6, 4, 81250, 29, 34632, 6, 196142, 2192, 34050, 129, 132281, 130, 98329, 130, 80113, 736, 228185, 59, 6, 5, 5187, 23633, 33907, 8865, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 424, 166192, 49, 39466, 103, 6, 4, 7762, 8688, 2233, 36098, 3997, 29356, 15, 417, 19505, 1388, 109810, 59, 13299, 407, 234578, 70726, 27187, 6, 4, 7176, 206778, 547, 14560, 49, 44, 119880, 130, 58, 133403, 24873, 13701, 201727, 244, 41374, 244, 67823, 5785, 39890, 407, 85037, 736, 3712, 1196, 6, 34887, 6, 5, 77900, 6, 4, 102823, 103, 417, 19505, 49, 229110, 6, 4, 23990, 222, 78573, 8871, 72072, 50560, 237801, 6, 4, 1145, 819, 69893, 22523, 86222, 119626, 93527, 89, 120553, 518, 8688, 13682, 50922, 28603, 20, 101329, 183, 58215, 6, 5, 98965, 82191, 27187, 6, 4, 173383, 255, 116, 97986, 559, 84926, 138826, 138466, 21313, 827, 14560, 183, 58215, 49, 18969, 142419, 1214, 49, 407, 85037, 736, 3712, 1196, 49987, 244, 2857, 800, 30200, 7765, 57172, 7765, 57444, 559, 6, 4, 20388, 146041, 93481, 35, 22146, 20029, 6, 5, 89805, 11312, 73429, 6, 234085, 14560, 92173, 23299, 230759, 36098, 2958, 22474, 4968, 1125, 48520, 151755, 42136, 34900, 67823, 49, 20228, 407, 85037, 736, 3712, 1196, 34887, 1214, 49, 7904, 6, 4, 2696, 64456, 1874, 148657, 28198, 32369, 49, 14560, 5, 114113, 130525, 736, 91477, 49, 2660, 6, 4, 414, 64456, 13345, 407, 85037, 736, 3712, 1196, 67823, 143948, 31189, 77, 1086, 14891, 4354, 57328, 1281, 6, 5, 21199, 27187, 84014, 6, 4, 414, 65376, 103, 44, 6, 39614, 3280, 183, 58215, 58, 19592, 82608, 59288, 3455, 6, 133403, 24873, 68752, 45697, 5902, 167137, 6, 5, 417, 19505, 22474, 15919, 31597, 62344, 3795, 187312, 60128, 6, 5, 5187, 529, 109313, 4684, 63946, 89, 6, 4, 718, 106, 60115, 200921, 2699, 14560, 13995, 27142, 122220, 166981, 6, 4, 82363, 23969, 178245, 79523, 6, 4, 27035, 49922, 197, 73796, 23971, 419, 15215, 698, 37083, 529, 22239, 27187, 6, 5, 2 ]

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

[ -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 1, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 1, 0, 0, -100, 1, 0, -100, 0, 0, 0, 0, 0, -100, 1, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 1, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100 ]

[ 0, 39875, 2542, 44308, 15052, 212, 518, 176816, 1114, 22470, 652, 129, 208005, 130, 3216, 1741, 23984, 1006, 6, 5, 5188, 3920, 79015, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 82681, 6, 208150, 245, 124698, 66699, 9403, 137527, 10032, 526, 14480, 6, 5, 901, 1739, 66689, 6, 4, 1203, 187588, 129, 208005, 130, 14219, 811, 93220, 1006, 255, 106, 60115, 234290, 2699, 6, 5, 180497, 217163, 124698, 111529, 6, 4, 414, 12358, 41362, 213390, 178385, 6962, 121706, 47853, 2151, 24143, 419, 6, 4, 35, 214461, 6, 4, 414, 85492, 245, 27965, 22470, 652, 27710, 3505, 176816, 59, 61, 25862, 18102, 38306, 76880, 6, 4, 252, 5058, 50203, 6, 4, 119102, 17330, 183, 55735, 176729, 89, 2457, 1857, 40687, 6, 4, 35231, 71066, 1857, 14560, 35, 8005, 827, 27187, 6, 5, 5187, 80894, 242861, 41976, 2429, 5840, 9403, 65960, 70259, 29233, 559, 6, 4, 141129, 129, 208005, 130, 201499, 21322, 4159, 1595, 22947, 106, 97986, 59, 28403, 6, 5, 5187, 106064, 21220, 5573, 8007, 44, 76031, 197, 80046, 44, 6, 4, 99920, 20, 40010, 8568, 21996, 27910, 86079, 49, 152280, 103, 3699, 119316, 989, 71487, 89, 76404, 11519, 12434, 650, 983, 6, 5, 901, 66689, 151263, 175030, 128530, 6, 4, 42662, 6, 4, 4222, 591, 45655, 143043, 57457, 30984, 6, 4, 4703, 61506, 19776, 54228, 12434, 650, 983, 6, 4, 44, 38503, 77, 235129, 197, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, -100, -100, 2, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100 ]

[ 0, 901, 66689, 63946, 59, 193182, 44, 97836, 44, 6, 4, 8604, 2233, 35, 185291, 245, 5711, 58727, 197, 111795, 71141, 54039, 44, 6, 89067, 476, 27856, 184104, 559, 44, 20, 3738, 187110, 1114, 10277, 559, 173067, 17414, 751, 49, 211629, 44, 161581, 202884, 44, 6, 4, 414, 44, 7329, 223829, 559, 49, 52429, 77, 3318, 44, 6, 5, 672, 2052, 65055, 53448, 1270, 35736, 160181, 6674, 80046, 86230, 110765, 92261, 13398, 21220, 5573, 8441, 44, 76031, 197, 80046, 44, 6, 4, 414, 33325, 184104, 559, 29514, 6, 4, 123942, 989, 1725, 2724, 227, 10849, 6, 5, 447, 63091, 8441, 3549, 49704, 407, 137171, 12318, 6, 4, 12703, 29, 14276, 546, 184104, 227, 518, 1741, 16247, 751, 1145, 116416, 1082, 44, 155030, 59, 44, 6, 5, 239389, 1355, 3738, 173067, 59, 29, 5892, 36833, 1269, 49, 6, 47871, 120617, 183935, 989, 185021, 39937, 29, 133086, 2562, 5902, 93053, 135, 62415, 130, 407, 2660, 6, 4, 414, 1266, 135, 15512, 115122, 110146, 129, 134721, 1993, 7931, 312, 13636, 559, 6, 5, 901, 35734, 55447, 63091, 122477, 227, 35, 174192, 89, 3928, 11620, 529, 173067, 17414, 7613, 6, 5, 6, 132250, 245, 1086, 88375, 35, 591, 132027, 1214, 6, 4, 255, 59576, 1196, 440, 3433, 13390, 132017, 89, 6, 4, 41976, 6, 47871, 120617, 9159, 547, 6, 4, 414, 44, 130739, 33690, 1045, 1006, 49, 591, 9685, 1625, 526, 58036, 5058, 3549, 44, 6, 5, 417, 690, 1355, 3699, 1266, 39775, 7846, 77, 20065, 44, 23307, 10606, 44, 158865, 2958, 63091, 122477, 559, 6, 5, 44, 2857, 212, 168371, 29, 4042, 819, 29, 87861, 103, 53448, 1270, 35736, 160181, 6674, 6, 4, 35, 29, 8808, 158549, 244, 44, 6, 4, 20, 13398, 110765, 92261, 6, 5, 2 ]

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

[ -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 1, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 1, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 1, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 1, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 136148, 1041, 969, 4281, 742, 205, 238453, 227, 129, 71487, 100113, 312, 174788, 751, 40331, 87606, 8427, 115686, 113932, 99920, 20, 40010, 105, 8568, 21996, 105, 27910, 105, 35, 173614, 179608, 227, 100113, 312, 174788, 751, 9403, 417, 224053, 105, 1986, 87902, 26730, 105, 33567, 21967, 69765, 227, 49, 20755, 135, 106609, 827, 49, 180079, 2958, 35, 132661, 110779, 85977, 6, 4, 145273, 17330, 45440, 1521, 2097, 1813, 723, 7343, 49, 8865, 46414, 8441, 6, 4, 106064, 193182, 44, 97836, 44, 6, 5, 417, 69765, 1214, 132428, 989, 229710, 44, 55389, 49, 151526, 26318, 174001, 73869, 244, 6, 56162, 51452, 44, 226284, 126049, 1196, 184998, 407, 2660, 6, 4, 414, 49, 779, 245, 34959, 10586, 2699, 222676, 1813, 723, 2697, 72472, 7607, 21069, 84926, 44, 61, 222017, 87170, 105, 85977, 6, 4, 162655, 518, 153949, 1114, 131342, 1082, 175765, 44, 6, 5, 672, 50487, 312, 77, 66505, 32080, 7082, 1833, 136, 6661, 34798, 407, 69591, 163041, 547, 18178, 6, 4, 49, 33763, 529, 237907, 29, 44, 54939, 227, 44664, 1196, 174788, 2297, 44, 106064, 989, 6, 4, 414, 222676, 1813, 723, 2697, 214497, 72472, 183, 87170, 59, 44, 183, 11355, 58, 652, 107058, 44, 819, 57457, 7607, 21069, 84926, 44, 6, 5, 6, 189056, 5058, 128844, 12197, 2294, 90569, 151263, 58768, 4281, 9685, 79260, 78305, 129, 1080, 197, 29078, 66261, 87170, 59, 208710, 59, 65629, 4019, 59, 6, 4, 7176, 218219, 6, 4, 414, 222676, 1813, 723, 2697, 6, 4, 211663, 4768, 40010, 419, 142972, 6674, 8568, 6, 4, 44, 4387, 49, 6, 75874, 44, 135, 87170, 419, 6, 5, 4619, 70710, 2715, 2120, 126049, 197, 35, 49, 6, 228263, 7898, 18315, 103, 32080, 59, 75113, 6, 4, 49, 33763, 65629, 4019, 243211, 4354, 29, 42689, 6, 4, 47554, 3795, 2431, 6, 4, 129, 1739, 66689, 6, 4, 424, 166192, 49, 219403, 1214, 6, 5, 44, 1509, 72472, 174788, 227, 1120, 77416, 54939, 183, 119626, 695, 63946, 59, 6, 4, 84, 102894, 1120, 43155, 6, 4, 414, 236442, 40010, 142972, 6674, 231003, 6, 158568, 138417, 183, 87170, 59, 44, 6, 4, 20, 22263, 87646, 2294, 64393, 41976, 58768, 4281, 9685, 79260, 78305, 6, 5, 1813, 3920, 1266, 218219, 6, 4, 414, 6, 4, 129, 82191, 44664, 1196, 219403, 6, 4, 44, 192955, 37495, 20228, 184998, 529, 125326, 99502, 36597, 44, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, 0, 1, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 1, 2, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 1, 0, 1, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100 ]

[ 0, 589, 496, 67165, 112378, 65796, 21246, 44, 57172, 12635, 63789, 44, 6, 4, 53841, 2192, 49, 120606, 80046, 29, 112477, 6871, 1996, 226, 6, 5, 36933, 2574, 6, 4, 14219, 202875, 53841, 1874, 29, 112477, 6871, 1996, 226, 21246, 227, 6, 4, 221731, 44653, 36098, 5145, 87575, 115217, 8804, 35, 9960, 70981, 6, 5, 417, 104650, 2172, 326, 158263, 79171, 20, 6, 105192, 6309, 6, 131760, 44, 21689, 66, 4922, 9343, 80433, 44, 180268, 89, 151829, 89, 141680, 1114, 21246, 559, 22002, 1006, 151448, 245, 77, 3526, 2303, 108409, 49, 8568, 35, 52429, 6, 4, 21214, 32511, 237336, 2233, 178399, 38850, 6, 4, 225775, 135557, 1006, 29, 107725, 6, 4, 225775, 143021, 1874, 35, 202999, 151187, 113006, 129, 61123, 20151, 21246, 559, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 1, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 1, -100, -100, -100, 0, 0, 0, 1, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 1, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 1, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100 ]

[ 0, 2842, 158263, 13022, 145281, 79260, 40331, 87341, 736, 21990, 1086, 92103, 547, 135, 47659, 1768, 44, 6, 166807, 59, 44, 45060, 56246, 417, 245, 39110, 103, 63781, 19345, 176816, 1114, 187588, 145281, 79260, 61, 166955, 175030, 19512, 59, 6, 5, 1089, 6592, 75703, 6, 4, 414, 49, 68642, 227491, 69997, 219788, 407, 168237, 105289, 145703, 1857, 22937, 44, 1509, 20933, 20, 14574, 44, 6, 4, 407, 38952, 40153, 126506, 48895, 2519, 61, 6, 148023, 176020, 89, 6, 4, 407, 3981, 83784, 36406, 187588, 215178, 5902, 22239, 61, 236442, 19512, 6, 5, 40331, 87341, 736, 21990, 35, 45060, 130, 417, 245, 39110, 3407, 440, 24178, 121035, 89, 29, 98101, 1993, 65792, 210510, 101228, 1688, 17277, 105289, 49652, 59, 183, 1087, 650, 37725, 59, 255, 197516, 135, 45130, 52516, 591, 72026, 812, 58706, 118802, 184516, 559, 6, 5, 5187, 79015, 89, 193182, 44, 97836, 44, 49, 45130, 5902, 215732, 49205, 20917, 13117, 6, 4, 129, 209467, 179022, 6421, 13170, 89, 217356, 105975, 16833, 49, 779, 245, 34959, 6, 5, 180497, 5532, 127011, 105289, 49652, 59, 69695, 36788, 2151, 20, 159610, 3318, 440, 195199, 380, 201987, 61, 1739, 201927, 6, 4, 84, 7133, 47316, 84820, 103, 19724, 13702, 751, 6, 5, 11882, 105, 31877, 179022, 105289, 49652, 59, 3318, 6, 59576, 49, 3576, 8165, 6, 5, 901, 66689, 23241, 44494, 53979, 6, 83389, 34945, 44, 26487, 129997, 49205, 44, 97352, 51699, 57790, 6, 4, 49, 8778, 49, 47751, 32739, 64456, 1196, 6421, 2757, 983, 82012, 440, 153811, 145281, 3007, 2519, 160539, 207397, 66032, 49, 9439, 888, 10285, 97986, 59, 84926, 6, 5, 417, 83836, 65792, 210510, 1688, 17277, 119638, 49, 53094, 13449, 48833, 103, 5434, 2699, 174492, 173059, 175030, 19512, 59, 49, 208388, 29, 201, 4, 304, 97986, 59, 41223, 29412, 138199, 6, 5, 417, 77828, 3699, 103484, 44, 26487, 129997, 680, 1323, 44, 61, 236442, 19512, 60229, 54697, 97986, 559, 84926, 6, 4, 79015, 23241, 19776, 12016, 6, 5, 6, 95180, 4544, 145281, 79260, 49, 19512, 103, 201499, 106, 140447, 97986, 59, 41223, 29412, 138199, 49, 5532, 6, 5, 38834, 60407, 6, 4, 414, 49, 142571, 1551, 8165, 427, 4, 910, 97986, 59, 41223, 29412, 138199, 61862, 222, 44, 6, 166807, 44, 6, 4, 252, 201, 97986, 59, 20, 21313, 44, 804, 25029, 44, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 1, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100 ]

[ 0, 447, 93553, 6878, 48618, 21639, 185153, 36062, 197933, 1281, 151755, 164263, 35, 137136, 244, 58907, 6, 4, 53841, 1196, 49, 39466, 103, 6, 5, 8639, 8458, 9694, 1145, 21610, 46896, 7031, 20, 55732, 59288, 2958, 7774, 861, 2792, 169721, 23192, 183, 58907, 6, 4, 27304, 21397, 3997, 43801, 14122, 419, 637, 101112, 82112, 13385, 407, 58907, 7765, 89920, 244, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 71255, 811, 11355, 59, 6, 4, 3216, 61, 93220, 41557, 170851, 6, 17675, 15459, 142136, 66699, 23453, 72767, 827, 6, 4, 60229, 5138, 38608, 59, 183091, 559, 6, 12544, 99921, 559, 6, 5, 5187, 206582, 26929, 6, 4, 9953, 496, 9977, 164263, 58907, 7765, 64312, 178608, 6878, 135, 105447, 37228, 811, 156069, 123546, 130, 6, 5, 417, 71007, 6, 4, 197933, 227, 128089, 6878, 1086, 92432, 35, 8544, 127354, 7, 128783, 9802, 49, 131656, 6, 5, 829, 129, 1595, 928, 14722, 6, 4, 161760, 2946, 90569, 183, 27617, 50203, 135, 93661, 1281, 1086, 50917, 27224, 77791, 1874, 7792, 227, 165352, 104789, 6, 4, 8544, 128000, 49, 34638, 18143, 861, 44821, 49, 124574, 21069, 22775, 2297, 6, 5, 417, 32560, 9296, 21639, 185153, 28604, 4987, 61, 33067, 111380, 59719, 9868, 149250, 1768, 6, 5, 93461, 6, 4, 18510, 83051, 6, 4, 414, 1097, 209616, 6, 4, 129, 82191, 78210, 8809, 153340, 581, 131423, 6, 4, 51836, 22573, 804, 72359, 20, 36690, 45961, 35, 42229, 228983, 82131, 29989, 50028, 106405, 718, 50487, 312, 77, 66505, 20, 49, 690, 3699, 819, 49, 353, 557, 5, 1179, 529, 237907, 29, 9942, 20, 82418, 11085, 6, 10337, 60407, 729, 61263, 9571, 2699, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 1, -100, 0, 1, 2, 2, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 1, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 901, 13385, 417, 63450, 6, 4, 15124, 9, 7330, 47316, 80270, 83753, 62972, 7572, 6735, 206778, 551, 24840, 14810, 9, 201360, 90953, 59, 6, 4, 108949, 20, 27011, 1422, 27596, 118424, 62972, 7572, 27813, 6, 4, 49, 126345, 35, 232516, 59, 143425, 59, 6, 5, 1813, 143425, 103, 2732, 47188, 201020, 28068, 138, 97986, 59, 84926, 6, 5, 62972, 7572, 27813, 6, 4, 218420, 1670, 4132, 2225, 7613, 13117, 15502, 277, 6, 4, 49, 13713, 11, 58711, 49, 6304, 143131, 93068, 44494, 18293, 90531, 1114, 69882, 35, 47801, 82512, 112, 191, 6, 4, 198910, 1041, 222, 2325, 26328, 619, 42763, 1515, 35, 19020, 106828, 743, 1720, 121147, 134896, 6, 4, 49, 117553, 3699, 224864, 103231, 49, 83981, 103, 35, 162348, 20, 14100, 177427, 2687, 49, 113103, 204960, 17510, 14709, 29376, 5902, 24678, 22509, 227, 6, 5, 901, 87037, 130, 32080, 59, 125666, 6, 4, 80270, 83753, 62972, 7572, 6735, 34295, 3693, 861, 1085, 129, 196838, 29, 143425, 6, 4, 779, 183, 139324, 43460, 183, 24840, 206851, 44, 7032, 104491, 71199, 44, 6, 5, 417, 120023, 1080, 1097, 89476, 49, 779, 245, 34959, 13867, 6, 4, 4222, 21313, 15502, 277, 67470, 7031, 61, 36788, 2511, 19020, 125948, 89, 2519, 1720, 121147, 134896, 6, 5, 61398, 3007, 650, 62972, 7572, 6735, 210, 239869, 13394, 79166, 35, 15502, 277, 236189, 59, 19020, 125948, 4256, 61, 209, 97986, 559, 84926, 6, 5, 901, 22996, 130, 16443, 205, 35040, 6346, 2893, 28965, 650, 6, 4, 4851, 64843, 650, 62972, 7572, 6735, 129, 47253, 29, 143425, 6, 4, 2732, 18135, 3732, 29, 36329, 105, 106601, 24840, 90953, 59, 6, 5, 34257, 77, 22947, 6, 4, 89359, 13117, 15502, 277, 218219, 6, 4, 414, 49665, 197, 4968, 8778, 2192, 23054, 71199, 62972, 7572, 105, 5930, 20, 19870, 103, 1725, 10172, 6, 4, 77, 6, 60927, 73429, 29, 7843, 13117, 6, 5, 2 ]

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

[ -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100 ]

[ 0, 672, 231488, 130, 169289, 53686, 4135, 38236, 4281, 59, 952, 67165, 7638, 61, 46235, 227, 141036, 29306, 135, 158958, 22645, 559, 49, 114333, 42420, 71141, 153558, 983, 5494, 53277, 6929, 35, 44, 216980, 5509, 66104, 2715, 44, 6, 5, 417, 24510, 4446, 5494, 53277, 6929, 138345, 1983, 6826, 135, 84, 66814, 2151, 220243, 130, 6, 4, 106064, 804, 72359, 20, 36690, 45961, 6, 5, 102701, 1041, 51009, 1086, 36929, 103, 6, 123967, 1993, 4910, 105, 1447, 559, 7898, 6, 4, 7176, 18135, 77, 96150, 104127, 4060, 147225, 2819, 29, 124387, 39065, 49, 2724, 227, 4446, 7774, 380, 25224, 7898, 170525, 103, 157380, 1993, 69242, 64640, 2819, 26034, 1521, 103, 174485, 103, 6, 4, 5138, 33907, 130, 969, 6, 30045, 168329, 5209, 1862, 4401, 2819, 536, 35711, 226, 2578, 3281, 59, 28536, 42515, 6, 4, 7176, 108718, 129, 114088, 1719, 30083, 56110, 1114, 589, 74594, 36217, 6, 5, 119123, 5561, 52619, 40331, 19821, 126622, 2697, 216793, 6, 4, 414, 44, 202345, 198858, 518, 67589, 49, 61, 46235, 1993, 5434, 176699, 29, 58858, 123330, 53686, 4135, 38236, 4281, 77, 18135, 44, 6, 5, 21199, 1266, 29, 41883, 547, 6, 4, 4768, 29, 1450, 957, 162412, 77, 66505, 53686, 4135, 38236, 4281, 109810, 13299, 55389, 77, 25077, 197, 69144, 6, 4, 252, 17442, 117596, 226284, 8808, 184998, 6, 4, 39331, 1196, 22645, 1281, 6, 5, 44, 589, 90053, 440, 2225, 34664, 92944, 42420, 29751, 718, 82191, 106843, 130, 2176, 61041, 211560, 103845, 1117, 1725, 87037, 99142, 29, 42803, 3821, 13385, 6, 4, 14925, 3150, 129, 130288, 183, 42420, 29751, 35, 110779, 44, 6, 4, 20, 13398, 41976, 5561, 52619, 6, 5, 804, 2696, 129, 173327, 10757, 86168, 241065, 989, 6, 4, 414, 22645, 227, 43450, 546, 17993, 7572, 3806, 1874, 87037, 6, 4, 690, 2431, 3150, 3505, 145732, 49, 51984, 6, 4, 216793, 1266, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, 0, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 1, -100, -100, 2, 0, -100, 0, 0, 1, -100, 2, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, 1, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0 ]

[ 0, 804, 72359, 20, 36690, 45961, 106064, 424, 43812, 20, 6, 51896, 59, 6, 4, 414, 49, 53094, 476, 49, 1105, 22618, 49, 29513, 36144, 36517, 11153, 2172, 47054, 18315, 423, 29, 1729, 17831, 5902, 93053, 6, 4, 49, 110642, 56422, 8809, 16266, 205, 6, 4, 42393, 197, 29230, 173067, 6, 5, 1729, 52353, 12578, 1041, 56746, 90229, 546, 6, 5, 672, 59344, 56246, 35, 30281, 419, 141630, 1214, 145904, 49, 42365, 2958, 41460, 45799, 6, 5, 672, 34898, 173067, 59, 67601, 1219, 38519, 103, 61, 36968, 27183, 6, 5, 901, 66689, 82681, 6, 208150, 245, 131567, 6, 47871, 120617, 6, 51896, 59, 6, 4, 131567, 18229, 11360, 95495, 63091, 8441, 29611, 34785, 245, 51249, 24873, 6, 4, 44, 57707, 3146, 130347, 173067, 59, 20, 14553, 546, 4132, 3280, 6, 4, 84, 101267, 5509, 206136, 2715, 73955, 35, 68023, 45540, 4968, 10698, 415, 44, 6, 5, 86230, 51249, 15176, 61319, 3844, 6, 4, 414, 51571, 245, 74418, 6, 4, 129, 49372, 16826, 1595, 11981, 6, 4, 94347, 197, 33591, 6, 4, 40553, 29, 14104, 130, 141630, 103, 6, 4, 4851, 42393, 197, 29230, 652, 1316, 54662, 6, 4, 169521, 222, 49, 66716, 173387, 227, 6, 5, 672, 29153, 29595, 123517, 75398, 1269, 114, 40535, 130, 1082, 141630, 59, 135, 93075, 197, 173067, 5509, 83835, 99940, 18372, 201, 20, 190, 119798, 21958, 21607, 640, 551, 6, 4, 20, 1086, 3920, 79015, 73909, 2549, 179881, 210275, 63091, 8441, 40331, 66307, 12761, 17999, 6, 5, 901, 1739, 41839, 1258, 6, 4, 21259, 19776, 45799, 42393, 197, 29230, 183, 87462, 6, 4, 414, 49, 65400, 10582, 67201, 103, 111795, 10041, 12826, 6, 89565, 15782, 135, 96343, 419, 6, 5, 5187, 1595, 17896, 173067, 5509, 215556, 138345, 49, 969, 110506, 103, 6, 4, 11004, 184200, 6, 5, 5187, 255, 48034, 547, 185537, 57231, 219873, 1857, 56869, 29611, 6, 4, 32177, 407, 173067, 103, 184675, 29, 13572, 2716, 222, 206655, 1270, 49, 53094, 476, 49, 1105, 14369, 2681, 23255, 6, 5, 112908, 5785, 305, 23255, 45799, 1874, 29, 16909, 227, 7638, 29, 34898, 6, 5, 543, 46916, 3317, 698, 424, 64110, 67201, 14104, 695, 141630, 59, 7638, 223578, 170404, 440, 40687, 5347, 526, 37725, 1196, 45799, 1196, 29153, 29595, 1976, 6, 5, 67353, 11709, 14157, 59, 45799, 4387, 1219, 27943, 81646, 6, 5, 1729, 52353, 90229, 28535, 20, 129, 37675, 5145, 90953, 89, 58083, 24898, 698, 20, 29846, 6878, 35059, 2509, 4401, 255, 440, 30732, 1114, 45799, 1196, 6, 4, 135, 38080, 19951, 29, 52061, 813, 12318, 6, 4, 35, 28055, 77672, 6, 5, 28421, 58706, 811, 40405, 546, 201, 135712, 6, 5, 417, 1882, 93804, 89, 45799, 59, 202851, 89, 19149, 1039, 58768, 207622, 227, 6, 5, 86230, 51249, 15176, 79015, 5058, 6, 4, 414, 22589, 424, 6, 63494, 983, 6, 4, 78467, 2233, 135, 84820, 130, 129, 928, 72192, 130, 29, 66565, 59, 23506, 424, 7061, 2757, 65310, 7765, 52494, 6, 4, 33309, 216041, 2262, 5347, 10698, 1857, 70581, 5719, 87225, 6, 4, 77, 22474, 33002, 1752, 7031, 6, 5, 901, 1739, 66689, 6, 4, 49, 23506, 424, 67201, 5434, 9037, 9122, 22573, 80502, 182885, 66565 ]

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

[ -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 1, -100, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, -100, 2, 2, -100, -100, -100, -100, 2, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, 1, -100, -100, 2, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, 0, 1, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, 0, 0, -100, 0, 0, 1, 2, 0, 1, -100, -100, 0, 1, -100, 2, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 1, -100, 0, 1, -100, -100, -100, 0, 1, -100, -100, -100, 2, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 1, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100 ]

[ 0, 49108, 54976, 147000, 240531, 1741, 88765, 56917, 559, 928, 21259, 35, 18102, 135, 66072, 1741, 27042, 33098, 144554, 312, 197516, 5842, 18449, 28196, 312, 35, 1721, 1521, 5573, 419, 35, 17993, 59576, 1114, 90089, 5930, 13617, 18036, 28832, 983, 3577, 32822, 2697, 49, 1721, 1521, 5573, 29, 1537, 512, 52926, 7898, 6, 4, 8639, 92985, 46340, 10788, 7898, 35, 1382, 4135, 32892, 7898, 93087, 244, 6, 5, 96961, 72365, 43903, 32369, 174788, 227, 1120, 24192, 20, 174478, 5145, 88243, 129, 811, 178035, 35, 206136, 4256, 42157, 127796, 1196, 11968, 190695, 559, 6, 5, 5188, 3920, 193182, 44, 97836, 44, 49, 1450, 49361, 83521, 242697, 79015, 89, 49, 79171, 20, 120606, 195817, 8568, 6, 5, 901, 82191, 79171, 20, 44970, 6, 4, 29, 33317, 38284, 3670, 20, 8639, 92985, 46340, 10788, 7898, 149220, 22793, 3873, 4019, 1114, 29, 336, 20601, 84, 21195, 129, 174788, 88765, 7061, 3577, 32822, 2697, 6, 4, 49672, 162412, 174788, 928, 969, 13539, 559, 35, 34710, 197530, 236921, 21259, 6, 5, 417, 5892, 2562, 5902, 151589, 211398, 827, 417, 45569, 20406, 1315, 99059, 6, 4, 6, 88872, 16693, 35, 135, 8778, 1874, 183, 16909, 227, 63091, 8441, 144151, 89, 96012, 20, 2724, 227, 10849, 1874, 88243, 35, 66129, 61453, 100910, 22959, 129, 61, 45571, 1269, 65633, 1196, 165108, 19701, 44624, 89, 35, 16726, 17355, 44624, 89, 6, 4, 252, 5058, 440, 1200, 680, 17330, 718, 15844, 29153, 1196, 54058, 6033, 559, 35, 13901, 1196, 68439, 559, 6, 5, 417, 20755, 135, 119102, 58711, 182219, 407, 33103, 245, 131943, 182119, 1114, 244, 35, 92594, 8441, 3577, 32822, 2697, 49, 440, 39113, 89, 31148, 161057, 18449, 19910, 6, 4, 111739, 80305, 129, 440, 27042, 640, 743, 144554, 312, 197516, 529, 79664, 512, 61602, 227, 29, 1382, 4135, 32892, 7898, 35, 191368, 46340, 10788, 7898, 93087, 244, 6, 4, 135, 49623, 28832, 197, 150927, 52353, 129, 53222, 85747, 82112, 35, 22793, 3873, 36481, 2519, 29, 109620, 1343, 1196, 38505, 1214, 811, 141642, 1114, 142797, 21758, 28832, 983, 6, 5, 3499, 71066, 227, 54982, 74386, 129, 11735, 6, 4, 77791, 227, 6, 4, 61, 155968, 6, 5, 57207, 1281, 46969, 1196, 160227, 41690, 108397, 227, 1450, 28422, 55641, 35, 46969, 1874, 61, 222289, 6, 5, 901, 39113, 89, 77892, 73182, 227, 236443, 695, 103380, 44, 210787, 6341, 551, 44, 235596, 158369, 68611, 957, 51936, 197516, 16753, 16286, 135, 83185, 89, 2519, 35, 190108, 5902, 5560, 89067, 19502, 7613, 49, 127335, 84, 56695, 1857, 240465, 1768, 56869, 424, 90898, 94454, 312, 197530, 6, 4, 79015, 89, 49, 165835, 20, 120606, 6, 5, 5074, 2262, 512, 59667, 52217, 591, 54662, 59, 3577, 32822, 2697, 529, 22239, 18449, 19910, 29, 5561, 6735, 6714, 7898, 35, 1537, 512, 52926, 7898, 93087, 244, 174001, 240465, 2958, 99059, 1080, 3806, 126674, 240465, 5145, 129, 11735, 6, 5, 1435, 8113, 1560, 8568, 120549, 135, 28276, 6467, 82720, 208350, 12747, 84611, 4684, 58482, 129, 161844, 197, 1794, 11446, 6194, 26876, 49700, 197, 225697, 4256, 232501, 57803, 38850, 1721, 1521, 5573, 59, 6, 5, 5188, 101253, 19036, 5124, 16641, 25455, 60229, 41722, 418, 9561, 6, 5, 5074, 210507, 201729, 127796, 1270 ]

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

[ -100, 0, -100, 1, -100, 2, 2, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 1, -100, 2, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 1, -100, 2, 2, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100 ]

[ 0, 4356, 63354, 7931, 650, 20, 19821, 680, 2257, 4560, 66446, 698, 48693, 17831, 52053, 59, 66673, 9159, 547, 6304, 49, 56126, 2151, 49, 129, 30271, 1269, 129, 928, 79913, 29, 18528, 50406, 220936, 59, 6, 4, 105062, 1266, 113932, 129, 34144, 226, 1400, 1125, 132749, 111034, 105, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 529, 237907, 29, 184871, 59, 45096, 59, 184340, 59, 1089, 25, 82131, 336, 547, 551, 6, 4, 52053, 59, 66673, 4387, 92228, 55745, 49, 25671, 103, 5434, 2699, 49, 101690, 3738, 2574, 6, 4, 819, 49, 64230, 103, 49, 207173, 419, 21310, 53839, 64412, 49, 27285, 115838, 77, 56505, 3997, 129, 30289, 415, 6, 5, 12786, 4987, 22043, 59719, 44, 447, 51533, 245, 1719, 6, 72480, 56270, 15997, 6546, 105, 220936, 105, 6, 4, 48463, 198056, 51533, 26464, 6, 72797, 7324, 44, 6, 5, 901, 35734, 55447, 46627, 26487, 4018, 12164, 6, 5, 36933, 2574, 6, 4, 49, 25671, 103, 52053, 59, 66673, 113932, 4768, 3693, 132545, 328, 15479, 1196, 27153, 2097, 20, 11284, 12068, 108912, 238751, 7246, 105, 85524, 105, 75797, 3281, 35, 173158, 105, 164299, 1537, 743, 5866, 129, 61164, 2511, 122560, 6467, 240505, 827, 6, 4, 94946, 151349, 120246, 827, 35, 151386, 130, 6, 5, 8159, 78679, 518, 238751, 28604, 49, 27285, 115838, 49, 34992, 13701, 34144, 1584, 49, 1721, 547, 11864, 103, 6, 5, 417, 7365, 4798, 174192, 89, 35, 205644, 70576, 652, 45939, 546, 29, 34144, 226, 49, 7931, 650, 20, 19821, 680, 2687, 6, 5, 190449, 424, 6826, 183, 173067, 559, 77, 239525, 6, 4, 37579, 198015, 52667, 73044, 128554, 35, 1719, 8875, 11312, 207173, 1768, 56869, 6, 5, 1813, 1086, 227, 4446, 49, 171298, 12561, 24339, 6, 4, 4851, 591, 40273, 547, 52053, 59, 66673, 6, 4, 7638, 187110, 227, 9953, 190, 119798, 21958, 69950, 1862, 6, 4, 1086, 39530, 751, 6716, 95495, 62324, 227, 35, 173067, 59, 15137, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, -100, 0, 1, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, -100, 1, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 1, -100, 2, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, -100, -100 ]

[ 0, 85384, 650, 20, 34078, 1041, 50406, 8568, 154888, 4910, 136458, 303, 407, 7044, 3806, 476, 103353, 89, 407, 214497, 1070, 16909, 105, 64257, 255, 103737, 312, 183, 9087, 1269, 62640, 59, 2578, 118036, 8489, 6, 5, 85384, 650, 20, 34078, 1041, 84014, 6, 4, 414, 103353, 89, 407, 255, 103737, 312, 183, 9087, 1269, 62640, 59, 2578, 118036, 8489, 20, 1097, 27965, 187184, 129, 47722, 53756, 11519, 72181, 2033, 49, 23085, 1080, 3806, 957, 185987, 2262, 5347, 10698, 1857, 170789, 6, 5, 154888, 4910, 136458, 303, 5058, 407, 7044, 3806, 476, 103353, 89, 407, 23334, 312, 183, 9087, 1269, 21996, 59, 164571, 135, 42407, 99920, 20, 124698, 35, 1739, 61, 38088, 29, 147251, 59, 232765, 1082, 23600, 89837, 16308, 32155, 245, 6, 5, 2578, 2716, 52442, 84014, 6, 4, 414, 27910, 20, 21259, 19776, 99920, 135, 129898, 419, 2151, 43346, 419, 6, 4, 35, 1266, 9765, 185586, 1730, 44, 6, 4, 20, 13398, 79171, 20, 34078, 1041, 151263, 51452, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 154888, 4910, 136458, 303, 5058, 228582, 6, 4, 414, 49, 83836, 216019, 695, 90898, 49, 8568, 77, 6314, 60407, 6, 5, 2 ]

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

[ -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 1, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 1, 1, -100, 2, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 1, -100, -100, 2, 1, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 417, 1450, 49361, 83521, 242697, 66032, 49, 80363, 49, 52429, 49, 12578, 419, 47054, 18315, 190, 6, 4, 66102, 138, 129, 93053, 67421, 3997, 72904, 751, 28496, 9694, 42393, 197, 29230, 21259, 19776, 173067, 6, 5, 901, 2262, 30102, 70209, 82191, 6, 4, 166172, 173067, 59, 25254, 139230, 4018, 23863, 17675, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 529, 237907, 29, 206655, 1270, 125522, 59, 447, 120617, 6, 191210, 1082, 103380, 80046, 6, 4, 23863, 17675, 49, 27285, 105054, 49, 67201, 103, 18315, 7221, 29, 167053, 141630, 103, 102375, 36517, 11153, 1270, 9037, 6, 5, 5187, 79015, 59, 21220, 5573, 8007, 44, 76031, 197, 80046, 44, 6, 4, 49, 41841, 173067, 59, 206857, 3693, 14722, 6, 5, 2 ]

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

[ -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 1, -100, 2, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]

[ 0, 447, 157929, 60769, 49379, 1768, 75579, 59, 1382, 23581, 2257, 222539, 44967, 236077, 103, 49, 1450, 49361, 83521, 242697, 25077, 227, 151263, 91791, 44230, 5902, 8148, 6, 5, 901, 24744, 30102, 70209, 82191, 1089, 67418, 38236, 4281, 59, 6, 4, 1266, 29, 78548, 212669, 26134, 67492, 559, 42420, 29751, 35, 55034, 3873, 165952, 147251, 59, 6, 5, 51249, 125802, 1857, 50084, 20, 27136, 20, 200093, 2660, 8809, 31303, 29548, 35003, 1323, 78785, 130503, 695, 190636, 6, 4, 33567, 141647, 312, 34879, 8635, 1709, 10907, 198447, 5506, 3407, 72472, 155171, 66032, 729, 1745, 173269, 6, 5, 167608, 1009, 114, 25805, 14273, 1196, 208420, 49, 68642, 230090, 54982, 15137, 1688, 135, 3821, 1688, 135, 22718, 22239, 77, 87363, 89, 6, 5, 2 ]

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

[ -100, 0, -100, 0, 0, 0, 1, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 1, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 1, 2, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100 ]

[ 0, 69242, 64393, 99920, 20, 40010, 8568, 87543, 204894, 59, 26023, 59523, 1730, 6, 4, 414, 44, 440, 25791, 3699, 44, 160253, 29, 62095, 13962, 407, 210513, 187819, 89, 18449, 14998, 5902, 141272, 103, 6, 5, 5187, 106064, 193182, 44, 97836, 44, 6, 4, 82417, 245, 49, 1450, 49361, 83521, 242697, 29, 52981, 14171, 114, 40535, 130, 1082, 5341, 114488, 215945, 44, 1509, 76591, 197, 44, 6, 4, 204894, 59, 26023, 214461, 6, 4, 414, 55389, 62095, 11053, 77, 2530, 25514, 126766, 18449, 14998, 5902, 141272, 89, 6, 4, 779, 35, 25514, 11284, 975, 1794, 155777, 6, 4, 7193, 4387, 148577, 43917, 27731, 212631, 18449, 19910, 49, 41841, 3577, 103, 29532, 71302, 35, 146617, 49, 77828, 3699, 49, 9977, 41796, 244, 8568, 6, 5, 901, 85093, 204894, 59, 93710, 6, 4, 2262, 650, 68020, 90773, 62095, 59, 77, 73976, 380, 20, 44, 39689, 811, 30343, 77, 221144, 44, 6, 5, 21199, 6, 4, 129, 1739, 85093, 6, 4, 3738, 50671, 21324, 62095, 59, 44, 20850, 236921, 18731, 2519, 14219, 6, 71008, 40841, 312, 22718, 129096, 312, 21699, 44, 6, 5, 5187, 84014, 87543, 204894, 59, 26023, 6, 4, 92358, 49, 1721, 1521, 89504, 117616, 6, 4, 414, 15115, 109234, 11053, 99502, 39049, 13237, 21259, 28008, 126506, 6, 5, 1813, 3920, 6, 4, 59523, 1730, 1266, 6, 4, 67298, 20, 77, 2530, 407, 68020, 18178, 61453, 155171, 85645, 21465, 3735, 53711, 35, 12672, 1258, 1725, 54575, 6, 4, 252, 150738, 103, 1741, 9107, 212, 59585, 158234, 6, 5, 44, 237285, 2176, 23294, 591, 130525, 92890, 77, 2530, 211562, 1258, 6, 4, 969, 54662, 59, 43705, 28081, 9037, 6, 4, 779, 35, 21388, 6, 4, 7193, 6, 81858, 1730, 4988, 1611, 44, 6, 4, 20, 13398, 1266, 6, 5, 6, 132250, 245, 407, 12469, 12318, 84, 31397, 36062, 33111, 6, 4, 204894, 59, 26023, 111529, 118070, 55735, 15582, 1857, 41322, 95185, 20, 6, 131415, 23214, 1721, 1521, 5573, 59, 6, 5, 4531, 214461, 6, 4, 414, 49, 40238, 6, 4, 4222, 2510, 1745, 126766, 58263, 1721, 1521, 5573, 77, 16231, 92969, 7878, 56279, 6, 4, 44, 77, 203506, 6, 4, 414, 23248, 92088, 19036, 172729, 6826, 170860, 49, 559, 117470, 227, 49, 1145, 116416, 5145, 49, 1214, 165508, 7246, 21967, 183, 16909, 227, 6, 4, 29, 26512, 15126, 76762, 124328, 184104, 94768, 89, 42157, 1281, 44, 6, 5, 204894, 59, 26023, 84014, 127172, 130, 11125, 6737, 5930, 3410, 111712, 135, 18449, 14998, 5902, 141272, 1768, 6, 4, 49, 2660, 20068, 135, 4641, 128590, 226, 31224, 536, 20601, 2172, 35040, 51367, 55994, 6, 5, 1813, 3920, 6, 4, 819, 59523, 1730, 27136, 20, 99920, 6, 4, 27714, 1739, 11053, 44, 49, 80018, 7613, 6, 4, 6, 29524, 67588, 57570, 312, 53224, 44, 6, 4, 135, 6010, 6, 4, 3077, 28068, 183, 75566, 695, 204353, 141272, 89, 233488, 2431, 591, 89, 72499, 124234, 128297, 6, 4, 252, 5058, 160253, 13962, 407, 21515, 1794, 1714, 13539, 26730, 6, 5, 5187, 214461, 87543, 204894, 59, 26023, 6, 4, 23294, 44, 11053, 80816, 17442, 12206, 6, 4, 414, 7776, 92985, 46340, 10788, 21967, 185857, 440, 26813, 49, 6, 60797 ]

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

[ -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 1, -100, 2, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100 ]

[ 0, 901, 2262, 30102, 70209, 82191, 1089, 67418, 38236, 4281, 59, 49, 1450, 49361, 83521, 242697, 6, 4, 49, 173269, 59, 13701, 29, 105412, 244, 147251, 59, 192318, 5902, 8148, 109810, 197, 19149, 5606, 4, 8894, 1745, 150073, 29015, 42420, 29751, 6, 4, 20, 106064, 193182, 44, 97836, 44, 6, 5, 3743, 53287, 2151, 49, 94447, 8526, 103, 3318, 114628, 989, 214463, 29, 147251, 12635, 16122, 6, 4, 61, 29725, 3318, 183, 677, 380, 29, 89, 56505, 41747, 6, 4, 129, 142317, 718, 24242, 106843, 130, 6, 4, 45403, 173269, 42420, 29751, 6, 4, 779, 440, 32277, 89, 6, 4, 414, 1725, 3318, 77, 22947, 714, 1745, 183, 63103, 42420, 29751, 6, 4, 440, 1951, 63671, 19149, 49, 173269, 59, 13701, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 718, 6, 128367, 79574, 49, 229110, 49, 16308, 380, 67418, 38236, 4281, 184675, 89, 49704, 424, 8808, 1702, 228321, 244, 42420, 71141, 92267, 983, 6, 4, 1086, 99087, 380, 3216, 5138, 2248, 1745, 6, 111346, 547, 67409, 10582, 6, 5, 417, 20960, 135, 28335, 6, 4, 129, 2262, 30102, 70209, 82191, 6, 4, 61, 185248, 245, 26034, 82907, 7343, 183, 677, 380, 496, 4, 9185, 1745, 173269, 6, 4, 414, 77, 13524, 39648, 1730, 1739, 49379, 227, 29, 105412, 244, 3216, 49, 94447, 8526, 103, 6, 5, 190449, 424, 81756, 1196, 49, 55677, 518, 230090, 611, 22645, 559, 54344, 26034, 82907, 7343, 10633, 35458, 49, 714, 1745, 173269, 77, 1741, 29230, 6, 5, 2 ]

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

[ -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100 ]

[ 0, 901, 82191, 804, 72359, 20, 36690, 45961, 6, 4, 3146, 14722, 90229, 546, 49, 41841, 149585, 173067, 559, 49, 51535, 1993, 131342, 2958, 144981, 6891, 29524, 8809, 233290, 695, 116221, 59, 6, 5, 77002, 424, 5308, 6, 4, 21302, 77127, 1270, 89248, 38306, 126504, 1270, 49, 15115, 417, 95953, 59, 6, 4, 6, 3670, 58883, 6527, 23294, 185183, 49, 141647, 130, 104420, 30943, 1200, 6, 4, 36182, 7638, 255, 71066, 227, 232501, 2715, 49, 41841, 173067, 59, 49, 51535, 1993, 131342, 2958, 144981, 153408, 6, 5, 7762, 21607, 103, 103234, 21259, 29306, 407, 38755, 3281, 35, 6, 3670, 58883, 6878, 49, 41841, 118120, 30953, 140552, 35, 84, 35141, 17471, 6, 5, 98965, 61, 178035, 18731, 2519, 6, 4, 223528, 34180, 7031, 49, 51535, 1993, 6, 4, 33309, 208473, 8095, 1281, 75586, 242868, 29751, 2819, 440, 3920, 84, 226, 8533, 233575, 1196, 113115, 6, 4, 3837, 71111, 32369, 107004, 6, 4, 77, 89476, 6, 5, 58127, 93910, 35, 33846, 3433, 13390, 60303, 8808, 147633, 5434, 216019, 695, 591, 9685, 1625, 57878, 6, 4, 129, 85093, 46107, 695, 158549, 51535, 1993, 6, 4, 166172, 114, 827, 637, 207697, 31104, 3738, 69171, 63671, 10357, 61, 43892, 173067, 559, 18637, 13524, 9921, 183, 224940, 227, 6, 4, 34526, 23158, 41892, 137282, 70976, 20066, 113447, 49, 64716, 103, 252, 5235, 827, 6103, 76929, 13572, 80802, 6, 5, 3858, 173067, 59, 16846, 1080, 79734, 59, 22589, 424, 6, 40131, 51535, 1993, 6, 4, 186729, 174047, 103234, 196831, 1114, 141914, 312, 11849, 3516, 2509, 6, 5, 2 ]

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

[ -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, 1, -100, -100, 2, -100, 1, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 1, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 1, -100, -100, 2, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100 ]

[ 0, 5187, 79015, 197, 193182, 44, 97836, 44, 6, 4, 49, 229110, 185183, 6962, 28008, 183, 16909, 227, 164263, 99059, 811, 36792, 35669, 49, 211629, 6, 191210, 1082, 50195, 23407, 1729, 3107, 6, 5, 68406, 183, 16909, 227, 13995, 138273, 13953, 196451, 1741, 22603, 1707, 132231, 54058, 227, 105539, 8830, 41228, 244, 99059, 29, 212631, 6, 191210, 1082, 50195, 23407, 6, 5, 2429, 12919, 85645, 20, 187706, 62705, 559, 44, 41287, 928, 18965, 44, 159357, 546, 49, 1729, 3107, 12826, 6, 48531, 2697, 123093, 6, 4, 151386, 6, 4, 160312, 227, 6, 4, 1450, 1006, 6, 4, 210342, 5145, 183007, 227, 6, 5, 29793, 677, 1584, 99687, 969, 36788, 148586, 6, 4, 212631, 93096, 73774, 144854, 168151, 227, 35, 19849, 5902, 61321, 1729, 3107, 6, 4, 36182, 326, 52981, 190481, 10262, 13995, 6, 18655, 640, 35, 88991, 1080, 49371, 928, 129320, 695, 127796, 1114, 85645, 20, 141285, 103, 51410, 546, 164263, 21259, 6, 5, 1382, 25350, 105, 49, 6, 191210, 419, 50195, 55809, 3318, 23793, 59, 106338, 9953, 46486, 123093, 35, 125970, 59, 3577, 103, 19626, 32663, 20, 489, 21665, 6, 4, 9309, 328, 7330, 227, 6, 4, 52646, 336, 145703, 63892, 6, 5, 229639, 4354, 6, 4, 414, 105539, 8830, 1794, 9694, 61439, 83280, 546, 13287, 12826, 51682, 6, 5, 2 ]

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

[ -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, -100, 2, 2, 2, 2, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100 ]

[ 0, 10032, 8688, 229408, 1041, 7765, 2849, 19108, 4485, 2697, 6, 4, 156539, 129000, 20942, 197, 86079, 88991, 77873, 20151, 4988, 1080, 182827, 1714, 13539, 4544, 49, 24130, 197, 20, 1757, 20, 31768, 2519, 5866, 6, 4, 3738, 2574, 6, 4, 819, 969, 3806, 476, 989, 21572, 66261, 127796, 1196, 211562, 559, 6, 4, 6, 7474, 6168, 63671, 84, 2790, 44626, 10758, 2192, 46665, 153415, 2192, 44, 53943, 2687, 44939, 44, 6, 5, 37001, 650, 1488, 86079, 211560, 92389, 1041, 24499, 78573, 21903, 12276, 22959, 29873, 59, 6, 4, 3077, 9765, 194266, 546, 811, 30343, 29, 37655, 49, 9778, 1269, 135, 171715, 1281, 129, 110293, 152163, 6, 144718, 4256, 29, 47198, 244, 29611, 6, 5, 5187, 106064, 804, 72359, 20, 36690, 45961, 6, 4, 49, 132653, 135, 1450, 957, 162412, 54441, 80804, 29, 238581, 21607, 103, 57907, 18359, 1196, 1741, 27042, 546, 14879, 24863, 1768, 143702, 35853, 743, 129000, 20942, 197, 6, 5, 44, 6, 158694, 743, 24038, 6, 4, 414, 214209, 18884, 44, 6, 4, 20, 1145, 591, 4281, 15114, 53871, 106778, 1203, 591, 9685, 1625, 526, 83521, 135, 15844, 49, 90458, 3146, 149890, 48312, 6, 5, 84241, 1752, 1584, 126614, 546, 29, 89785, 43155, 229408, 1041, 5902, 61066, 1857, 224911, 227, 35, 232516, 89, 57317, 89, 183, 94395, 6, 4, 60921, 35, 18081, 69088, 11923, 6, 5, 77002, 424, 211562, 559, 6, 4, 84, 62030, 49, 70048, 156539, 59, 6, 4, 34526, 30045, 141941, 44, 5758, 6, 4, 69, 1097, 129000, 20942, 197, 6, 5, 176429, 89, 73843, 6, 4, 4400, 110479, 2530, 148662, 76424, 44, 6, 5, 44, 180497, 1080, 49, 10094, 4042, 440, 184019, 89, 224911, 718, 1045, 7888, 6, 5, 150236, 4768, 6, 4, 414, 2792, 102069, 6878, 6, 7474, 53287, 2151, 35853, 1551, 44, 6, 4, 20, 83694, 129000, 20942, 197, 235001, 1258, 6, 5, 2 ]

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

[ -100, 1, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 1, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, -100 ]

[ 0, 75315, 17575, 223107, 1258, 35231, 71066, 197, 4768, 4572, 31482, 518, 112562, 1114, 6, 30462, 3107, 2457, 36406, 1145, 116416, 1768, 44, 6871, 827, 89, 165323, 1114, 48844, 44, 15, 536, 34455, 1388, 6, 5, 5188, 3920, 79015, 49, 229110, 185183, 132782, 31877, 234577, 89, 105539, 8830, 41228, 827, 174001, 137136, 312, 23241, 231056, 168641, 6546, 6, 5, 672, 1741, 14628, 1214, 255, 74342, 16266, 1145, 35, 77, 2120, 207311, 197, 187969, 407, 120496, 101228, 145797, 312, 13842, 55732, 536, 34455, 6, 5, 34257, 77, 22947, 231056, 168641, 6546, 35, 185537, 145797, 312, 103499, 1993, 78305, 49, 48844, 23137, 21278, 10032, 736, 14307, 97062, 6, 4, 414, 1080, 32050, 59650, 536, 34455, 35253, 112562, 197, 6, 5, 1382, 6, 174617, 144727, 29, 10277, 227, 135, 677, 380, 5138, 209, 21069, 114200, 40015, 1270, 175765, 6, 5, 901, 13385, 193182, 44, 97836, 44, 6, 4, 29, 1741, 14628, 1214, 31131, 407, 7878, 118052, 6527, 13962, 407, 142350, 175765, 518, 19870, 695, 163529, 44, 179849, 1082, 179563, 44, 6, 5, 32552, 197, 8830, 41228, 103, 66855, 59523, 4684, 6, 4, 414, 23248, 1781, 114200, 6, 4, 536, 34455, 96987, 134190, 7329, 6, 5, 2 ]

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

[ -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 1, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, 1, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, 1, 2, 0, 0, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 1, -100, -100, 2, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, 1, -100, -100, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, 0, 0, 1, 0, -100, 0, -100, -100, -100, 0, -100, -100, -100, 0, 1, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, 1, -100, -100, 0, -100, 0, 0, 0, 0, 1, -100, -100 ]

[ 0, 21996, 27910, 55800, 49, 242697, 92088, 151976, 7762, 130045, 312, 51936, 18293, 33611, 197, 106828, 89, 6, 5, 68406, 223829, 227, 1266, 3433, 24940, 86222, 819, 44, 129, 30271, 928, 39928, 56102, 1117, 5328, 35, 18029, 59828, 27224, 6, 145527, 103, 89359, 30296, 44, 6, 5, 27910, 61, 3806, 3873, 6, 4, 414, 44, 91935, 227, 20228, 223829, 559, 14219, 206136, 227, 193547, 44, 6, 4, 779, 39595, 168180, 49, 186274, 135, 188205, 419, 1266, 84014, 230030, 677, 22959, 49962, 152, 44, 7796, 77, 2530, 8679, 1551, 3732, 6, 4, 779, 35, 64494, 227, 24136, 3410, 129, 105280, 71487, 6, 4, 153, 779, 2176, 77, 8679, 1551, 2868, 77, 1086, 9430, 24214, 13418, 93096, 200171, 58482, 152, 70803, 23070, 22776, 183, 222164, 59, 35, 225029, 186184, 4544, 70172, 51452, 6, 5, 7796, 41075, 1097, 135, 55351, 1551, 6, 4, 2696, 61041, 32529, 44, 6, 5, 3858, 2743, 65915, 29, 34819, 407, 7776, 92985, 46340, 10788, 7765, 185857, 244, 6, 4, 21996, 27910, 83694, 6, 4, 414, 44, 1145, 116416, 4018, 7776, 92985, 743, 8807, 115686, 9253, 222, 4387, 122318, 49, 40238, 146148, 59, 191103, 22714, 49, 18449, 28196, 44, 6, 4, 35, 44, 135, 117306, 312, 24819, 60128, 20, 1097, 183146, 103, 77, 187969, 6, 4, 1145, 819, 2120, 122318, 197, 46665, 212941, 698, 117306, 695, 200547, 55641, 8568, 44, 6, 5, 21996, 27910, 84014, 9661, 13053, 77, 5138, 6, 4, 4703, 44, 164859, 6467, 123090, 1281, 20803, 45086, 44, 20, 135, 23506, 22239, 164299, 44970, 6, 4, 252, 135, 22718, 18449, 14998, 5902, 141272, 89, 6, 5, 4531, 9159, 547, 6, 4, 414, 34133, 6, 4, 7193, 54486, 140123, 9661, 13053, 6, 4, 6, 66406, 31597, 42034, 157841, 1117, 203981, 6, 4, 150492, 160539, 52218, 6, 5, 1851, 34820, 108766, 59, 6, 4, 414, 44265, 233079, 13953, 234577, 31084, 419, 49, 186274, 135, 188205, 419, 6, 5, 829, 122318, 39242, 7776, 92985, 46340, 10788, 7765, 529, 15487, 1625, 1394, 141036, 29306, 147000, 1203, 184374, 89, 35, 84, 27465, 6, 4, 111529, 1266, 6, 4, 252, 49, 18449, 28196, 6, 4, 40473, 44, 39749, 77, 9159, 551, 1757, 20, 6, 743, 3429, 128906, 3455, 108201, 130, 6, 4, 124606, 7638, 123219, 222, 170404, 1203, 76122, 12747, 16753, 16286, 44, 6, 5, 417, 18449, 28196, 6, 4, 111529, 21996, 27910, 6, 4, 12504, 2984, 27714, 226232, 2530, 135, 13022, 419, 536, 20601, 2172, 35040, 51367, 55994, 6, 4, 40553, 1739, 138147, 1219, 97216, 18449, 14998, 5902, 141272, 89, 6, 5, 21996, 27910, 83694, 6, 4, 414, 9765, 33907, 407, 6314, 1214, 44, 59119, 3981, 3907, 121210, 33325, 559, 20783, 59, 168199, 7765, 22480, 44, 30236, 18449, 1068, 7324, 49, 22326, 26124, 84, 6417, 2033, 105855, 36110, 226, 861, 1857, 183185, 518, 2574, 6, 4, 3077, 126094, 13237, 80297, 53058, 48837, 58482, 29, 30724, 49372, 8568, 6, 4, 82966, 2716, 24896, 652, 252, 124333, 93001, 2192, 43346, 18449, 19910, 6, 5, 63842, 49, 175039, 79171, 103, 6, 81998, 6, 4, 13398, 1266, 6, 4, 414, 49328, 3981, 3907, 151187, 33325, 89, 2842, 7572, 415, 198497, 13287, 88210, 121250, 108201, 183, 61045, 1078, 1114 ]

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

[ -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 1, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 1, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, 0, 0, 1, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, 1, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, 0, 0, 1, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 1, -100, -100, 0, 0, -100, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, -100, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 1, 2, 2, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, 0, 1, -100, 0, -100, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, 0 ]

[ 0, 129196, 20029, 8552, 303, 7931, 2582, 6, 4, 44, 5842, 50917, 2192, 184104, 18315, 5641, 44, 6, 4, 11961, 198514, 61, 90984, 59650, 130, 1714, 13539, 1196, 127796, 1196, 142797, 49, 1721, 1521, 5573, 6, 4, 67759, 547, 129, 928, 72192, 29, 50406, 14560, 42669, 551, 220936, 59, 6, 5, 4619, 142865, 59, 13553, 2233, 12185, 6346, 15919, 21452, 49, 30984, 526, 52516, 23294, 49, 39466, 103, 176375, 33907, 695, 16868, 205, 94738, 27847, 59, 84313, 1455, 212, 24130, 1120, 44, 87430, 103, 6, 144321, 31811, 44, 6, 5, 136429, 29, 179111, 29, 42803, 112270, 695, 13053, 34664, 187432, 59, 6, 4, 78536, 41557, 24130, 95985, 326, 3699, 26231, 559, 135, 141442, 1281, 2632, 2557, 7931, 83420, 6, 4, 223372, 89, 35, 183, 9087, 6467, 176807, 827, 4560, 58382, 14560, 35, 109349, 1196, 77791, 1196, 6, 56162, 6, 5, 220711, 234665, 244, 36129, 27847, 19870, 165102, 19971, 183, 2294, 90569, 99920, 20, 124698, 174222, 59, 76588, 42269, 800, 1537, 201629, 328, 6, 5, 901, 82191, 24130, 1120, 6, 4, 8552, 303, 7931, 2582, 9395, 41976, 42799, 77791, 1857, 63495, 2395, 50917, 1857, 184104, 31825, 13842, 44, 5892, 55712, 44, 6, 4, 11827, 245, 64257, 52019, 18372, 206136, 2715, 149551, 312, 236808, 6, 5, 51249, 81806, 1768, 38800, 84159, 4132, 21967, 35, 753, 751, 5573, 21967, 3577, 32822, 751, 6, 4, 82684, 23969, 64107, 103, 2582, 20765, 5509, 49, 34638, 18143, 861, 44821, 6, 5, 1382, 184104, 31825, 15777, 8552, 303, 7931, 83420, 440, 35308, 15582, 336, 35333, 197, 24940, 4544, 35, 57291, 227, 129, 142317, 718, 143319, 130, 141442, 1258, 6, 4, 181866, 24130, 652, 6, 5, 3743, 18359, 2192, 49, 85119, 3226, 226, 40064, 3707, 103355, 60058, 35, 84, 153811, 130, 7044, 176295, 11231, 6, 4, 8552, 303, 7931, 2582, 61, 16826, 79696, 143319, 130, 117173, 18419, 6, 4, 44119, 161141, 6527, 132231, 28059, 1725, 6, 60927, 60769, 71199, 6, 5, 5188, 55712, 29, 141442, 559, 440, 49266, 1739, 718, 67971, 407, 3204, 141313, 89, 6, 5, 4946, 29, 8802, 2042, 19592, 30617, 1093, 58490, 7204, 2192, 184104, 6, 4, 114, 31877, 102954, 129, 97390, 97748, 6, 5, 417, 176375, 181866, 989, 6, 4, 414, 11285, 8552, 303, 7931, 2582, 18510, 61, 77, 2827, 1980, 2151, 2757, 800, 114618, 49, 3753, 102400, 103, 6, 4, 4851, 3216, 49, 25510, 82805, 4476, 184743, 17355, 1752, 1584, 811, 73144, 4684, 12332, 5145, 114, 54990, 245, 6, 4, 61, 129, 30271, 7613, 173067, 59, 145904, 63495, 2395, 50917, 1270, 36098, 1082, 44970, 49, 63326, 20, 6, 71244, 103, 6, 4, 61, 6314, 1281, 173067, 59, 3526, 1752, 15863, 326, 3699, 164720, 1082, 40223, 59, 49, 39466, 103, 6, 5, 44, 8552, 303, 7931, 2582, 9395, 97739, 1551, 33372, 164280, 63495, 2395, 50917, 1196, 184104, 559, 6, 4, 3837, 77, 214214, 19951, 6314, 72987, 48515, 650, 28008, 227914, 44, 6, 4, 20, 181866, 13391, 6, 5, 4531, 39775, 57980, 11373, 17524, 546, 4286, 559, 183, 31728, 3651, 36057, 49, 2660, 6, 4, 414, 194553, 236808, 49675, 197, 104118, 222, 61185, 2192, 35, 1093, 58490, 7204, 2192, 98947, 6, 4, 80303, 312, 111080, 1117, 159927 ]

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

[ -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, -100, 0, -100, -100, 0, 1, 0, 1, -100, -100, 0, 0, -100, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 1, -100, -100, 0, -100, 0, -100, -100, 1, 0, -100, -100, 0, -100, -100, -100, -100, 0, -100, 0, -100, -100, -100, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, -100, 1, -100, -100, -100, -100, -100, 0, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 1, -100, -100, 2, 2, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, 0, -100, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 1, -100, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, 1, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, 0, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 1, 0, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, 0, 0, -100, 1, -100, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, 0, 1, 1, -100, 2, 0, -100, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, -100, -100, -100, 0, 0, 0, -100, 0, -100, -100, 0, 0, 1, -100, 0, -100, -100, -100, -100, 0, 1, -100, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, -100, -100, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100 ]

[ 0, 55602, 11968, 29230, 15863, 529, 58191, 178053, 35, 168156, 130, 151386, 130, 6, 4, 252, 12390, 3516, 135, 3577, 103, 7171, 41942, 1281, 440, 11825, 13058, 424, 8568, 49, 99251, 69853, 4256, 49, 25510, 19502, 46719, 52516, 60339, 6, 5, 5188, 3920, 79015, 89, 23294, 8865, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 49, 32104, 17524, 49974, 244, 99251, 69853, 1993, 6, 5, 44308, 118816, 54674, 9403, 6962, 59, 2225, 177624, 108912, 2325, 812, 6194, 177525, 105, 45147, 380, 67341, 9228, 1874, 13572, 1200, 888, 1584, 35, 160312, 419, 103, 1584, 6, 5, 5187, 179614, 989, 6, 4, 6, 107098, 983, 9694, 139929, 145517, 222, 99251, 69853, 1993, 17157, 68737, 1417, 198443, 62705, 559, 6, 5, 44, 901, 13539, 89, 137282, 424, 8568, 52353, 68919, 20, 6, 116815, 3997, 61070, 201230, 222, 52667, 113447, 155171, 22474, 4968, 1125, 17425, 130, 10416, 91917, 59637, 99059, 49, 90194, 1993, 36334, 6, 90232, 27943, 36406, 35, 210507, 142797, 21758, 28832, 983, 44, 6, 4, 90984, 476, 28535, 989, 49, 99251, 69853, 4256, 4015, 48295, 529, 22239, 3374, 45844, 751, 5573, 59, 6, 4, 83694, 98326, 63354, 21259, 17524, 34036, 99251, 69853, 1993, 6, 5, 77900, 1086, 80319, 13701, 99251, 69853, 1993, 85645, 20, 150738, 312, 40687, 2120, 7171, 1951, 328, 29, 27136, 222, 20406, 2172, 169289, 47659, 198443, 177525, 46225, 20, 78290, 114110, 59, 407, 94328, 1857, 34911, 6, 4, 27390, 7044, 25791, 49, 52429, 29, 50487, 312, 77, 66505, 135, 19149, 130, 151263, 175030, 39300, 91917, 59, 21996, 59, 164571, 6, 5, 165182, 10416, 91917, 59637, 99059, 135, 183, 16909, 1281, 3577, 32822, 2697, 7044, 70435, 89312, 1450, 957, 162412, 179402, 29, 198928, 103, 99251, 69853, 1993, 6, 5, 5188, 3920, 10190, 23581, 27673, 2582, 1882, 804, 72359, 20, 36690, 45961, 79015, 49, 229110, 63946, 49, 21259, 17524, 49974, 244, 23581, 69591, 105629, 6, 5, 901, 1739, 82191, 6, 4, 1741, 63281, 415, 5842, 3577, 32822, 11231, 35, 59681, 10337, 1281, 158234, 49, 110642, 44392, 112233, 139464, 8809, 34710, 6, 58491, 36597, 11369, 14369, 6, 5, 9504, 9888, 85645, 21465, 3735, 42036, 6, 5, 5832, 190695, 559, 811, 957, 1752, 546, 183, 130288, 212, 33309, 77472, 80894, 70726, 6, 5, 1089, 104245, 244, 184104, 559, 13987, 184200, 6, 5, 5188, 103, 22239, 151120, 1041, 24896, 546, 49, 79172, 160312, 419, 103, 1584, 6, 5, 1813, 67418, 80502, 49, 1097, 1355, 3699, 55270, 127796, 2192, 183, 16909, 8618, 190695, 559, 206669, 135, 3577, 1551, 591, 800, 82246, 49, 60480, 228747, 59, 49, 13912, 21288, 46719, 7898, 110642, 99251, 69853, 1993, 6, 4, 41346, 3738, 1741, 63281, 751, 211562, 227, 4682, 546, 148577, 227, 5058, 183, 130288, 6, 5, 48729, 222, 652, 25514, 177624, 7765, 198443, 6171, 6, 5, 672, 79171, 20, 150451, 49, 31310, 103, 34078, 1041, 79449, 197709, 4544, 141272, 89, 38846, 512, 93834, 957, 1323, 2697, 13398, 49, 229110, 6, 4, 414, 1266, 336, 13524, 39648, 1730, 38952, 6, 72807, 227491, 135, 3577, 32822, 11231, 16950, 66176, 4482, 861, 45073, 89, 61, 9753, 26730, 6, 5, 21199, 1266, 214461, 6, 4, 414, 77, 3150, 8871, 640, 43817, 407, 61789, 141313 ]

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

[ -100, 0, 0, 0, 1, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, 1, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 1, -100, 0, 1, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, -100, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, 1, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, 1, -100, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 1, 0, 1, -100, 0, 0, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 1, 0, 0, 0, -100, 0, 1, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, -100, 0, 0, 0, 1, -100, 0, -100, -100, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, 0, 1, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, 0, 0, -100, -100, 0, -100, 0, -100, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, -100, -100, -100, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 1, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 1, 0, -100, 0, 0, 0, -100, 0, 0, -100, -100, -100, -100, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 1, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, -100, -100, 0, -100, -100, -100, 0, 0, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, 0, -100, 1, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, -100, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, -100, 0, 0, -100, -100, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, 0, -100 ]

[ 0, 96070, 160181, 6674, 68516, 89, 13575, 60970, 6, 4, 98563, 186892, 49, 6, 188685, 419, 2557, 81062, 7898, 16443, 226, 1089, 22509, 2257, 135, 2262, 5347, 10698, 1857, 89196, 7613, 6, 4, 79015, 6, 4, 414, 4988, 68516, 89, 49, 5892, 736, 8688, 103, 1080, 652, 168776, 46922, 66969, 44, 6, 205593, 3997, 51192, 44, 15, 6, 45844, 51367, 1388, 6, 5, 164050, 20, 93687, 245, 8005, 3738, 14560, 6, 4, 4988, 19812, 6, 45844, 51367, 123928, 75566, 6, 5, 417, 156954, 2172, 424, 118696, 4132, 8809, 1729, 80734, 551, 1996, 677, 129162, 1993, 8552, 303, 7931, 2582, 159315, 14560, 35, 68516, 743, 70422, 210, 10998, 77299, 98947, 1281, 6, 4, 3738, 21307, 9661, 9690, 650, 969, 15919, 7310, 35, 753, 751, 5573, 21967, 3577, 32822, 751, 6, 5, 829, 52829, 2120, 104650, 197, 49, 17442, 8270, 6, 4, 4222, 173732, 97727, 1125, 184942, 59, 14560, 219768, 135, 142513, 419, 49, 5506, 546, 6, 5, 127707, 54677, 45697, 8809, 222823, 59, 3738, 93661, 8552, 303, 7931, 83420, 4987, 194849, 84, 56695, 59, 6, 5, 96070, 142972, 6674, 68516, 89, 93834, 650, 9121, 47174, 244, 111529, 6, 4, 414, 49, 148026, 98276, 244, 518, 68516, 89, 6171, 13987, 33372, 6, 5, 34257, 77, 22947, 6, 4, 1266, 106405, 718, 93661, 1258, 819, 718, 4296, 120006, 312, 151555, 6, 5, 51249, 141253, 59, 4387, 163455, 5138, 35784, 7246, 14059, 6, 5, 44, 13314, 2716, 29626, 183, 34552, 1117, 6, 4, 414, 49, 22326, 25873, 59, 6, 4, 165710, 105, 43155, 37976, 115987, 105, 23054, 105, 49, 157427, 6, 4, 62415, 8552, 303, 7931, 83420, 70677, 18143, 1219, 8914, 183, 34552, 120553, 34571, 4, 9, 1711, 59131, 40010, 160181, 6674, 13575, 60970, 6, 5, 20, 1851, 184104, 227, 94347, 72942, 6, 4, 2696, 97062, 68516, 743, 112187, 312, 35, 1093, 85979, 1857, 22480, 1768, 44, 6, 5, 96961, 72365, 13575, 60970, 111529, 6, 4, 414, 164050, 35240, 4354, 49, 5138, 38519, 130, 35, 5124, 7898, 7044, 60994, 650, 2172, 10416, 91917, 103, 518, 35797, 312, 170789, 135, 174001, 202746, 188205, 59, 6, 5, 6, 235584, 41325, 6962, 31597, 1086, 92228, 103, 49, 181700, 130, 16443, 226, 121706, 34473, 1447, 20803, 6, 147620, 244, 7765, 184104, 559, 6, 4, 132991, 24873, 63671, 49, 242697, 49, 27285, 21406, 101654, 312, 8809, 99920, 20, 124698, 41622, 551, 16832, 50111, 89, 14310, 17527, 25736, 89, 35, 172105, 8534, 21741, 8441, 4056, 7324, 45653, 1752, 6, 5, 536, 104113, 2946, 28422, 9159, 6878, 6, 4, 414, 7638, 29, 131166, 174222, 419, 49, 22326, 111034, 59392, 20, 175613, 92261, 6, 5, 63601, 1447, 45844, 222, 47174, 244, 6, 4, 50518, 12434, 34473, 1447, 5902, 180295, 81650, 6, 4, 414, 77, 30079, 159976, 44, 175613, 16812, 44, 84274, 1047, 718, 6, 147620, 244, 5902, 75340, 75819, 42157, 43996, 1269, 28943, 1299, 138266, 433, 6, 4, 33309, 208473, 128712, 1768, 29, 101654, 312, 7765, 189495, 31843, 559, 23793, 85280, 11968, 29230, 15863, 6, 5, 83559, 12185, 4987, 35231, 71066, 59, 9765, 753, 751, 5573, 5902, 219403, 1768, 5337, 40583, 157075, 15, 6, 32938, 1388, 6, 5, 91562, 184104, 59, 20, 29529, 45844 ]

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

[ -100, 0, -100, 0, 0, -100, -100, 0, -100, -100, 0, 0, -100, 0, 1, -100, 2, -100, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, 0, 0, 1, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, 0, 0, 1, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 1, -100, 2, -100, -100, 0, -100, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, -100, 0, -100, 0, -100, 0, -100, 0, 0, 0, -100, -100, 0, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, -100, 0, -100, 0, 0, 0, -100, 0, 0, -100, 0, -100, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, 0, 0, -100, -100, -100, 0, 0, 0, -100, 0, 0, -100, -100, 0, -100, 1, -100, 2, -100, -100, 0, 0, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, -100, 0, 0, 0, -100, 0, -100, 0, -100, 0, 0, 0, 0, 0, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, 0, -100, -100, 0, 0, -100, -100, 0, 0, -100, 1, -100, -100, -100, 0, -100, 1, -100, -100, 0, -100, 1, 2, 2, -100, 0, -100, 1, 2, 2, -100, 0, 1, -100, 0, -100, 0, -100, 0, -100, -100, 0, 0, -100, 0, 0, 0, 0, 0, 1, -100, 2, 0, 0, 0, -100, -100, -100, 0, -100, 0, 0, -100, -100, 0, -100, 0, -100, -100, 0, -100, -100, 0, -100, 0, 0, 0, 0, -100, 0, -100, 0, 1, -100, -100, 0, 1, -100, -100, -100, 0, -100, 0, 0, 1, 0, 0, 0, -100, 0, 0, 1, 0, -100, 0, 0, 0, 0, 0, 0, -100, -100, 0, -100, -100 ]

[ 0, 417, 13390, 61, 84, 103300, 419, 4560, 1219, 28908, 29, 41374, 312, 62008, 104111, 245, 13610, 197, 42007, 1086, 19890, 87387, 29, 8778, 47952, 6, 5, 447, 15176, 10573, 70356, 49, 105424, 244, 111591, 70428, 1196, 183, 888, 14160, 20, 49, 176833, 47104, 12489, 135990, 43460, 5138, 4703, 29, 209, 138199, 183, 24840, 38185, 695, 51879, 6, 4, 35, 169588, 154079, 2454, 6, 5, 13578, 33314, 52218, 49006, 1993, 13634, 57464, 222, 6, 5, 191273, 129, 14560, 6, 4, 129, 2262, 30102, 70209, 82191, 6, 4, 90229, 1219, 2678, 9561, 6, 5, 417, 184862, 312, 13610, 46183, 336, 84, 103300, 213294, 547, 5138, 6331, 55013, 6, 4, 9953, 201, 21069, 55013, 189338, 197, 6, 5, 188719, 1781, 21069, 55013, 49, 242697, 1203, 4768, 45714, 6878, 1093, 47728, 89, 98361, 6, 5, 4056, 109313, 4684, 407, 82805, 45799, 1214, 20, 5641, 424, 5308, 6, 4, 326, 3699, 29725, 90229, 9561, 6, 4, 67601, 424, 20, 61, 54592, 36708, 197, 20860, 20917, 106812, 227, 6, 5, 417, 13390, 61, 1080, 79734, 1114, 827, 440, 25791, 29, 8778, 47952, 152, 49, 59119, 161057, 9037, 41362, 84, 27465, 969, 67998, 6, 5, 103830, 4082, 118925, 49, 151589, 36553, 57878, 202875, 6, 4, 49, 198710, 1214, 4406, 2052, 8941, 54883, 227, 6, 89241, 90798, 70356, 35, 105168, 6, 4, 35, 1960, 101756, 6, 4, 7193, 4768, 214209, 49, 151589, 36553, 57878, 6, 4, 49, 101690, 9072, 17641, 698, 115495, 135, 100252, 419, 6, 5, 36933, 2574, 6, 4, 2511, 62008, 419, 29, 60700, 551, 93661, 59, 130025, 1768, 81560, 227, 152, 70356, 30984, 526, 28535, 424, 100218, 559, 6, 8835, 135, 74546, 6878, 135, 18957, 4135, 87225, 6, 4, 3926, 1355, 178250, 4684, 155333, 90579, 559, 90229, 28535, 53819, 244, 147522, 6, 4, 414, 3150, 49, 101690, 96924, 718, 183, 13510, 1200, 20151, 147381, 104527, 6, 5, 44, 589, 19108, 108912, 95672, 105, 184862, 312, 13610, 46183, 1006, 198015, 12480, 84, 19727, 6, 4, 122614, 2176, 26574, 77, 103804, 546, 44, 6, 4, 20, 83694, 163010, 130, 11989, 222, 6, 4, 128379, 35736, 147703, 130958, 16443, 205, 6, 5, 447, 103300, 4560, 1219, 28908, 85884, 5058, 1080, 79734, 1114, 35, 29, 8778, 46221, 49, 62008, 1214, 2857, 800, 45844, 2097, 6, 4, 198056, 51533, 26464, 6, 4, 63326, 20, 202760, 3007, 6, 4, 63326, 20, 6, 71244, 35, 202950, 79170, 6, 5, 28421, 33891, 6, 48531, 415, 9561, 90229, 546, 61, 12826, 173061, 27091, 49, 99352, 1768, 184412, 49, 41841, 29, 8778, 336, 1394, 6, 4, 5058, 811, 39673, 1196, 58893, 130, 84, 103300, 59, 4560, 1219, 28908, 6, 4, 7176, 100288, 52207, 177216, 695, 30037, 17425, 49, 121307, 2395, 10951, 35, 589, 23300, 1120, 13589, 6, 5, 70109, 13022, 14560, 220936, 129909, 1086, 110506, 11284, 220946, 14560, 6, 4, 3837, 43993, 38519, 206857, 183, 84, 103300, 59, 6, 5, 2 ]

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