joegolk/roberta-tokenized-data · Datasets at Hugging Face

input_ids listlengths 512 512	attention_mask listlengths 512 512
[ 6235, 119718, 10705, 16803, 4, 7369, 37826, 20033, 6235, 119718, 39083, 2882, 193178, 4838, 40653, 48775, 3131, 17310, 5, 1470, 75230, 4, 50180, 119718, 14004, 119055, 39083, 2882, 7369, 8947, 42493, 6235, 80264, 711, 292, 40611, 65307, 4, 23173, 14088, 9424, 159696, 108968, 4838, 220224, 59461, 6, 148346, 54260, 97634, 2932, 4, 6255, 22753, 7611, 20033, 2205, 874, 54260, 1211, 6, 78683, 148346, 71512, 2882, 92500, 3373, 87311, 39340, 20033, 874, 54260, 23269, 3944, 148346, 164461, 49268, 92605, 13159, 292, 1285, 6, 70129, 448, 151614, 148346, 1211, 2205, 13159, 10918, 46685, 6235, 8903, 46053, 17806, 21847, 292, 162726, 34365, 448, 4, 1470, 75230, 101251, 21847, 7682, 38, 292, 162726, 34365, 448, 6, 73381, 13497, 4852, 18167, 1285, 16175, 9221, 2200, 4151, 25093, 31467, 710, 132025, 8903, 85744, 2205, 6, 238144, 36419, 6, 148346, 2932, 10069, 65307, 4, 7265, 20315, 2050, 167048, 54260, 17017, 7265, 10676, 6, 238144, 46053, 119055, 102562, 230764, 10676, 6319, 137377, 4, 107776, 6, 23173, 54260, 1211, 4, 92500, 70845, 165284, 22426, 1211, 7746, 125523, 4838, 3373, 4667, 118439, 448, 152, 72577, 1751, 148346, 609, 38, 49920, 81444, 20911, 29766, 38, 26217, 2882, 1751, 148346, 609, 7508, 26, 153, 38, 56170, 105780, 82576, 2882, 6, 148346, 8580, 6255, 6235, 119718, 29766, 1211, 2451, 26612, 7508, 92605, 43649, 87442, 95766, 874, 75230, 1644, 4, 2200, 230764, 10676, 223779, 2442, 3944, 15388, 1285, 9213, 148346, 6093, 125897, 292, 6255, 6319, 68558, 4852, 54260, 6, 99611, 6, 148346, 26612, 234221, 4, 3496, 64260, 3131, 33718, 124724, 4838, 6, 104038, 6, 68558, 711, 58571, 7611, 4, 8947, 37826, 61107, 2932, 29766, 7511, 2882, 6235, 159696, 33716, 2200, 6255, 151614, 148346, 56170, 17824, 75230, 2702, 41764, 3149, 2648, 2200, 6, 147185, 6235, 119718, 39083, 2882, 4944, 64260, 3131, 6, 23173, 137377, 31249, 710, 183216, 199145, 6255, 151614, 148346, 2205, 874, 75230, 1644, 23050, 506, 40096, 4, 2200, 4151, 48775, 4484, 3056, 20033, 6235, 148346, 7972, 148346, 1211, 43649, 54260, 1211, 2205, 364, 21106, 4852, 5, 8947, 37826, 205026, 132025, 8903, 506, 75230, 148346, 1211, 29659, 23173, 4484, 3069, 119055, 6093, 15388, 4, 1285, 1470, 75230, 15388, 21923, 20033, 114564, 6, 23173, 75230, 2702, 37640, 66293, 6319, 137377, 5, 8947, 95766, 6235, 119718, 29766, 1211, 4838, 17824, 75230, 2702, 6235, 22426, 15350, 35189, 5, 4838, 3373, 4667, 115374, 21923, 7746, 3069, 5666, 75230, 111137, 1644, 29771, 33225, 230764, 874, 54260, 1211, 6, 148346, 54260, 4852, 119718, 10705, 83182, 4, 6, 104149, 4, 163139, 4151, 80839, 46685, 81444, 20911, 29766, 119718, 23173, 13497, 7746, 7265, 4838, 7508, 92605, 5, 4151, 25093, 31467, 710, 37826, 1751, 75230, 1211, 6, 68380, 56170, 3131, 57277, 49008, 4, 36324, 168892, 119055, 13845, 1751, 75230, 1211, 3069, 70845, 28415, 6319, 54260, 1211, 30109, 48904, 39340, 6, 189098, 41764, 10069, 15050, 42493, 1751, 133671, 4, 6093, 37826, 6235, 104149, 4, 36324, 6255, 6, 37016, 205026, 6, 148346, 21106, 2648, 2200, 119055, 13845, 1751, 75230, 1211, 28415, 6319, 54260, 1211, 228151, 42493, 6, 94741, 159696, 49008, 2200, 6319, 54260, 1211, 7508, 92605, 13159, 42493, 8947, 1211, 4, 37826, 7369, 7746, 874, 29259, 3131, 148346, 8903, 159696, 56880, 2200, 37826, 133190, 10676, 63259, 13159 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9213, 148346, 6093, 8903, 75290, 2882, 12, 6, 148346, 2808, 25391, 7369, 37826, 94626, 26, 2442, 23050, 119718, 10705, 16803, 4, 36324, 6255, 6, 148346, 8580, 1470, 54260, 1211, 6, 71577, 710, 195088, 4, 4838, 6, 172060, 36326, 9616, 4, 23822, 54260, 50097, 92605, 4, 2200, 37826, 1751, 75230, 1211, 6, 71804, 23405, 6235, 119718, 39083, 2882, 874, 54260, 1211, 6, 184855, 22529, 874, 138763, 4852, 54260, 1211, 4151, 4269, 48904, 89930, 6, 159696, 21295, 4, 133190, 8947, 70845, 1751, 159696, 2442, 6235, 159696, 56880, 205026, 6, 148346, 54260, 3131, 27105, 3131, 46545, 3069, 4151, 2882, 71577, 1211, 4, 119055, 29766, 46598, 1285, 15857, 96256, 90761, 2808, 4, 6, 31177, 2865, 22492, 3944, 34709, 1211, 4, 506, 64260, 8947, 20033, 10676, 83031, 1470, 54260, 23405, 65482, 148346, 1211, 4, 6255, 170479, 1751, 133671, 30109, 48904, 39340, 73784, 2442, 148346, 8580, 230764, 41764, 10069, 15050, 4, 2200, 4151, 110573, 15662, 37826, 230764, 20033, 32661, 8580, 6235, 159696, 56880, 4, 165592, 14856, 37826, 205026, 42493, 241997, 3496, 71577, 1211, 4, 119055, 12483, 6255, 45495, 1470, 54260, 1211, 68324, 506, 2200, 13159, 4151, 6, 159696, 21295, 874, 138763, 220224, 1211, 38, 133190, 2205, 10676, 1751, 148346, 609, 37826, 18225, 70845, 44855, 506, 3131, 112907, 6, 148346, 36326, 609, 10498, 5927, 174798, 506, 6235, 75230, 56880, 10676, 41764, 2702, 43082, 137, 850, 31467, 2808, 10813, 5927, 506, 6093, 850, 17297, 58758, 155, 15, 148346, 110703, 2754, 874, 155, 2808, 4231, 155, 2882, 247, 37826, 7369, 6, 124470, 710, 171665, 6293, 56170, 3131, 57277, 49008, 4, 36324, 95455, 874, 54260, 16667, 18225, 205026, 152, 364, 80453, 850, 3056, 3120, 6, 106672, 137, 905, 80453, 4113, 689, 110703, 145534, 506, 2004, 1054, 124470, 2808, 10813, 5927, 364, 80453, 850, 17297, 58758, 3056, 16175, 54260, 48253, 12, 119055, 6093, 8947, 4269, 54260, 2882, 144754, 364, 75230, 67873, 6319, 137377, 4, 6, 68558, 4838, 11211, 21338, 4, 4151, 6, 119273, 7508, 92605, 13159, 5, 7544, 17410, 874, 54260, 13497, 81444, 4667, 9719, 4667, 2819, 119055, 29766, 46598, 4838, 81444, 13805, 29766, 4269, 54260, 2882, 81444, 4667, 6, 68558, 4838, 11211, 21338, 292, 58571, 7611, 4, 7369, 3056, 13342, 20033, 6, 195054, 29771, 33225, 7265, 76961, 118439, 448, 2200, 37826, 205026, 4151, 2882, 71577, 2882, 5, 292, 168892, 163139, 1644, 124724, 6, 99611, 84087, 118222, 18167, 220224, 1211, 4, 6255, 6, 148346, 8580, 74806, 205416, 148346, 1211, 4, 24621, 37826, 205026, 6, 148346, 26612, 2932, 90848, 18406, 292, 42493, 6, 148346, 171665, 61722, 34671, 95766, 43649, 64260, 3056, 6235, 119718, 29766, 1211, 4838, 3944, 23173, 46598, 12, 215594, 4, 199145, 364, 54260, 16803, 212632, 9174, 97728, 2200, 10507, 15050, 15, 2865, 54260, 23269, 24377, 22492, 448, 170479, 1211, 9213, 148346, 6093, 104378, 230764, 10069, 9174, 97728, 2200, 10507, 15050, 4, 199145, 6255, 151614, 148346, 241997, 2289, 14856, 42542, 15, 148346, 41731, 51172, 16, 7511, 2882, 220224, 1211, 6319, 54260, 1211, 6, 54260, 2648, 4, 36324, 14856, 17190, 189583, 5332, 22426, 13159, 4838, 83182, 3131, 133880, 4151, 364, 54260, 304, 3117, 1644, 123329, 6, 124470, 26659, 711, 3523, 54260, 1211, 38, 3523, 54260, 1211, 711, 14856, 6, 205416, 42493, 6, 23173, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20260, 905, 38249, 2205, 1285, 6, 148346, 710, 4944, 44779, 38, 292, 1470, 15907, 192956, 2442, 10339, 64260, 6093, 15, 21733, 29771, 46685, 3131, 2702, 16, 37826, 6235, 46464, 40920, 4, 1470, 75230, 148346, 220224, 1211, 119312, 37826, 42493, 5332, 22426, 13159, 12023, 4944, 44779, 5, 199145, 14856, 37826, 6235, 17268, 49008, 4, 37826, 18225, 89930, 21292, 1211, 2200, 56170, 148346, 2442, 35596, 4, 14856, 37826, 1470, 75230, 2702, 59461, 75230, 112907, 119055, 10705, 8947, 3056, 7369, 8903, 7611, 8903, 159696, 56880, 4838, 6, 94790, 8632, 81860, 1644, 5, 4151, 25093, 31467, 710, 37826, 95455, 4231, 29766, 4838, 81860, 6235, 13982, 905, 20911, 4, 119718, 120467, 29434, 710, 49008, 21923, 74806, 57277, 49008, 4838, 3373, 4667, 6, 124470, 14303, 850, 36324, 75230, 163139, 1285, 3120, 137, 850, 31467, 2808, 10813, 5927, 506, 80453, 850, 17297, 58758, 2004, 1470, 15907, 192956, 2442, 6, 54260, 2648, 37826, 220224, 1211, 27513, 6235, 4484, 75230, 23741, 2200, 14856, 506, 64260, 95455, 132025, 8903, 506, 75230, 148346, 1211, 74806, 2865, 92605, 3069, 212632, 5, 6, 68558, 20033, 37826, 18225, 6, 148346, 21106, 2648, 7201, 23173, 8903, 46053, 4, 133190, 10676, 101497, 36864, 1644, 4, 36324, 76961, 6, 54260, 35465, 3523, 54260, 12483, 230764, 10676, 45742, 111215, 4, 3056, 874, 54260, 1211, 6, 228605, 6235, 159696, 56880, 3523, 59929, 3120, 145813, 29259, 91595, 2702, 4, 199145, 1470, 15907, 192956, 2442, 4, 119055, 13845, 104238, 3056, 874, 54260, 1211, 6, 228605, 56170, 148346, 54260, 8903, 240863, 12483, 4, 37826, 230764, 70845, 4838, 3131, 22426, 54260, 6235, 80264, 5, 119718, 710, 14856, 364, 59929, 20033, 133190, 6, 148346, 26612, 2932, 90848, 148346, 1211, 4, 37826, 7746, 6, 124470, 710, 171665, 6293, 4151, 41545, 4667, 86270, 3069, 20033, 6235, 137218, 159696, 2882, 5, 6255, 151614, 148346, 205026, 220224, 6093, 4151, 25391, 218241, 1211, 4, 7369, 170479, 99611, 4151, 104149, 10676, 7508, 92605, 4, 199145, 37826, 125523, 6235, 105235, 20911, 6, 148346, 54260, 20033, 2205, 506, 21106, 4852, 5, 7369, 37826, 205026, 4838, 129165, 2932, 23050, 85744, 12, 2007, 10498, 4667, 705, 163139, 364, 54260, 126934, 4, 6428, 54260, 48253, 144754, 657, 109226, 705, 6255, 151614, 148346, 70845, 42493, 23050, 39340, 16667, 6, 35596, 59919, 1211, 2200, 6, 148346, 8580, 6235, 8300, 119718, 2808, 109226, 70845, 3069, 6, 238144, 56880, 230764, 874, 54260, 1211, 364, 21106, 4852, 4, 163139, 1470, 54260, 59461, 105884, 2882, 152, 8947, 119718, 23173, 13497, 205026, 4, 6255, 42542, 42493, 220264, 5, 7369, 37826, 20033, 4151, 71804, 23405, 2882, 7265, 20315, 2050, 52059, 7682, 2205, 6, 78683, 24152, 6, 23173, 54260, 1211, 4, 3056, 4151, 7508, 92605, 6, 23173, 75230, 2702, 37603, 364, 21106, 4852, 2200, 92500, 4151, 41545, 4667, 86270, 37826, 7746, 1751, 57277, 24152, 6, 26394, 71804, 40920, 5, 6255, 151614, 148346, 4151, 46590, 2882, 4, 36324, 8947, 3056, 20033, 6, 148346, 13159, 6093, 6235, 119718, 29766, 1211, 2200, 6255, 42542, 1751, 75230, 1211, 163139, 35189, 220264, 4, 151614, 148346, 6, 5, 6255, 205026, 220273, 18895, 5594, 6235, 159696, 56880, 2200, 151614, 148346, 56170, 172033, 506, 48350, 506, 6235, 506, 40096, 10676, 41545, 4667, 86270, 9424, 4852, 129165, 15388, 199145, 7369, 6, 71804, 40920, 5, 137 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 168892, 71804, 4667, 4, 6, 225975, 2882, 7369, 3069, 20033, 4, 163139, 6428, 54260, 1211, 3373, 7511, 40505, 15, 17017, 45631, 9183, 25391, 247, 199145, 37826, 10069, 4667, 6235, 119718, 39083, 2882, 120202, 2442, 174121, 159696, 1211, 4, 3056, 6, 21106, 54260, 1211, 6235, 159696, 56880, 1285, 15857, 148346, 506, 4, 199145, 18133, 148346, 34533, 74806, 205416, 148346, 1211, 56170, 4151, 9424, 54260, 2882, 5, 1285, 6, 104038, 3056, 36324, 75230, 6235, 159696, 56880, 148346, 36326, 609, 18133, 151614, 16803, 40611, 1751, 148346, 609, 6235, 8903, 46053, 1285, 7508, 92605, 13159, 4, 3056, 4151, 105250, 17171, 2442, 132, 35189, 41545, 4667, 4, 199145, 874, 152650, 76961, 6, 90090, 850, 16, 6, 130991, 73784, 6, 148346, 2754, 122623, 31249, 98683, 7265, 4838, 17824, 75230, 2702, 6235, 22426, 15350, 35189, 5, 20033, 151614, 148346, 1211, 364, 54260, 13497, 4838, 6, 140229, 104985, 4838, 17824, 75230, 46053, 7201, 208048, 46545, 6093, 5, 7369, 37826, 132025, 8903, 506, 75230, 148346, 1211, 3069, 3944, 23173, 4113, 51723, 152, 6235, 119718, 21106, 2648, 711, 3056, 2648, 120467, 221387, 6235, 119718, 29766, 1211, 4, 36324, 4838, 6, 54260, 2648, 170479, 8947, 1211, 7508, 92605, 13159, 4, 2200, 125523, 40611, 132537, 3131, 148346, 609, 52620, 3131, 6, 4730, 292, 4151, 3373, 7511, 40505, 4, 199145, 3056, 4838, 1751, 46545, 1470, 75230, 111137, 21733, 6093, 16932, 4, 506, 64260, 132025, 8903, 506, 75230, 148346, 1211, 3069, 6, 134727, 1211, 12, 199145, 67882, 40920, 18225, 81444, 4151, 69355, 215031, 85858, 4, 119718, 120467, 3056, 95455, 6235, 22426, 15350, 35189, 705, 8947, 21923, 81444, 17824, 13159, 123073, 6, 90090, 850, 2200, 51723, 1751, 238144, 98833, 711, 76961, 16175, 65689, 21923, 56170, 119718, 29766, 33225, 7265, 1285, 13845, 13159, 3120, 4269, 91275, 448, 4, 1982, 40096, 2442, 161459, 4, 9424, 18279, 37016, 13159, 4, 199145, 6, 76776, 61621, 120202, 1285, 4269, 48904, 26394, 6, 159696, 21295, 4, 7265, 10339, 21106, 186479, 905, 74813, 54260, 2882, 4, 2200, 110573, 86270, 36324, 13845, 107581, 6, 90090, 850, 4, 37826, 18225, 28415, 42493, 3069, 80264, 133190, 3069, 18906, 22426, 28320, 4838, 81444, 20911, 29766, 4, 199145, 37826, 6235, 8903, 46053, 7508, 92605, 13159, 705, 292, 68313, 54745, 1211, 7243, 29771, 4838, 3373, 4667, 4, 199145, 21923, 42493, 6319, 54260, 1211, 81444, 20911, 75230, 16847, 4, 199145, 56170, 4852, 54260, 6093, 6, 90848, 28726, 4, 199145, 220224, 6428, 23173, 33225, 46440, 1211, 2205, 4151, 6, 159696, 75386, 4, 112216, 16803, 8947, 57277, 39340, 220273, 6, 148346, 60732, 185527, 42493, 46711, 21527, 3069, 8947, 1211, 4, 2200, 220224, 8947, 1211, 6428, 119718, 46985, 25391, 21527, 2200, 6, 148346, 26612, 234221, 7746, 4838, 46590, 905, 42493, 4, 7544, 17410, 199145, 4852, 36326, 163139, 1644, 18225, 17268, 66293, 81444, 20911, 29766, 151614, 148346, 1211, 32, 7369, 37826, 3944, 148346, 7508, 92605, 13159, 292, 4838, 1751, 54260, 23269, 110573, 80453, 506, 4, 212484, 7369, 7746, 7265, 220224, 119055, 23173, 12483, 711, 292, 4151, 3373, 7511, 104985, 37826, 6235, 119718, 39083, 2882, 1285, 4667, 103854, 10676, 7508, 174121, 159696, 1211, 2200, 37826, 6235, 2865, 54260, 13497, 6428, 54260, 1211, 61842, 4, 73784, 101251, 21847, 44376, 64260, 7369, 1285, 141879, 119055, 6093, 16932, 137 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 212484, 7369, 7746, 7265, 220224, 119055, 23173, 12483, 155, 1470, 75230, 2702, 238197, 2205, 215031, 97816, 4, 36324, 220224, 21923, 3120, 220224, 1211, 874, 75230, 1644, 2205, 4269, 64260, 96743, 75230, 53414, 6, 23173, 54260, 1211, 4, 2200, 6, 57277, 39340, 6, 124470, 710, 171665, 6293, 6, 148346, 34533, 905, 4151, 119718, 29766, 15388, 6235, 119718, 29766, 1211, 5, 155, 292, 168892, 151614, 148346, 20033, 6235, 2702, 48775, 40920, 4, 163139, 4151, 41545, 4667, 86270, 37826, 120202, 238197, 12, 44693, 2808, 74806, 205416, 148346, 1211, 6, 148346, 8580, 6255, 81444, 4667, 1751, 75230, 1211, 4, 95455, 3056, 1751, 75230, 1211, 56170, 7201, 21106, 1211, 4, 29771, 148346, 6093, 6, 75230, 6255, 55242, 4, 119055, 29060, 18225, 205026, 56170, 1285, 7508, 92605, 13159, 42493, 115222, 22426, 1211, 74, 36324, 2648, 29771, 3056, 81444, 4838, 3373, 7511, 40505, 215031, 72577, 6093, 6, 148346, 15529, 35189, 4, 151614, 148346, 6255, 6319, 54260, 1211, 6, 28317, 32829, 2882, 3069, 151614, 148346, 1211, 5, 35189, 41545, 4667, 86270, 37826, 7746, 4838, 6, 148346, 710, 35044, 120202, 8903, 127583, 4, 6, 105515, 7369, 205026, 238144, 16932, 4838, 129165, 5666, 152, 2451, 85858, 124470, 6, 148346, 29771, 2865, 15703, 705, 151614, 126934, 4, 6, 148346, 15529, 35189, 4, 7369, 44779, 6235, 506, 183512, 21295, 2808, 75230, 6293, 4151, 6, 159696, 21295, 705, 2451, 6235, 506, 183512, 21295, 32, 6, 225975, 6255, 4, 163139, 107776, 3069, 20033, 364, 183512, 1644, 12483, 4, 6, 238144, 126934, 54745, 1211, 6, 99611, 4, 36324, 6255, 6, 148346, 8580, 6235, 159696, 56880, 4838, 81444, 20911, 29766, 32, 2451, 6, 101328, 4, 4838, 81444, 20911, 29766, 4, 6, 225975, 2882, 4151, 41545, 4667, 86270, 4, 123736, 148346, 6093, 37640, 16747, 119273, 159696, 15388, 151614, 126934, 81444, 4667, 6235, 506, 183512, 21295, 12, 151614, 16803, 6235, 506, 183512, 21295, 7265, 4151, 6, 71577, 2882, 54260, 46985, 2884, 151614, 16803, 74806, 12415, 148346, 1211, 16175, 54260, 123073, 21776, 26394, 22426, 28320, 4, 2200, 4151, 6, 71577, 2882, 54260, 75290, 37826, 79761, 4151, 7201, 23173, 6235, 8300, 39083, 2882, 101497, 8903, 21295, 74, 151614, 16803, 6235, 506, 183512, 21295, 7265, 1285, 304, 3742, 70129, 448, 4, 151614, 16803, 6235, 506, 54260, 46053, 6, 128540, 6, 59929, 4667, 41764, 137218, 119718, 4484, 13159, 2200, 151614, 16803, 6, 148346, 54260, 4852, 54260, 6, 139449, 20585, 5, 151614, 16803, 6235, 506, 183512, 21295, 7265, 10676, 25093, 31467, 8580, 4, 151614, 16803, 74806, 93449, 3069, 70845, 41764, 10069, 15050, 2200, 7369, 3069, 124724, 125523, 21776, 26394, 22426, 28320, 5, 151614, 16803, 6235, 506, 183512, 75386, 7265, 6, 228151, 94741, 159696, 49008, 4, 7265, 223779, 2442, 6, 26394, 148346, 25207, 12984, 4, 7265, 1751, 148346, 609, 3069, 64991, 4269, 54260, 1211, 4, 76961, 2702, 364, 54260, 16803, 6235, 506, 183512, 21295, 74, 2200, 18133, 151614, 16803, 10339, 21106, 3131, 6235, 506, 183512, 21295, 4, 4852, 54260, 6093, 10339, 21106, 3131, 4, 6, 64260, 95455, 3056, 125523, 7369, 61397, 3120, 7508, 92605, 13159, 4, 6428, 23173, 75230, 6293, 42542, 35189, 3373, 7511, 40505, 1470, 75230, 4667, 6319, 54260, 1211, 157511, 6, 99611, 6235, 7916, 49008, 4, 2200, 4151, 119718, 29766, 15388, 119055, 53414, 68313 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 75230, 4667, 6, 78683, 48974, 5, 55242, 126934, 10676, 6, 148346, 2754, 111215, 4838, 68550, 124724, 32, 4838, 16175, 54260, 1644, 6658, 448, 4, 21733, 54260, 1211, 2200, 17824, 75230, 2702, 4, 4231, 17310, 2200, 4838, 75386, 4, 21923, 110573, 107182, 3120, 6428, 54260, 23269, 21776, 26394, 22426, 28320, 8903, 29659, 29766, 148346, 1211, 5, 4838, 16175, 54260, 1644, 3120, 220224, 119055, 39083, 28320, 4151, 6, 159696, 75386, 1751, 57277, 24152, 3069, 7511, 7611, 6, 130991, 5, 18133, 6, 148346, 34533, 6235, 159696, 56880, 220224, 6093, 41545, 4667, 2939, 119718, 609, 4, 2200, 4151, 13342, 6, 148346, 34533, 905, 113889, 4667, 6235, 159696, 56880, 4838, 9424, 18279, 37016, 4, 4838, 10339, 21106, 86733, 4, 4838, 56170, 105235, 44478, 292, 95455, 119055, 29060, 79761, 6, 99611, 74806, 135118, 2882, 119055, 53414, 292, 6428, 54260, 1211, 41764, 95564, 3056, 12, 125523, 10676, 163139, 6255, 119055, 13845, 79761, 4838, 6, 148346, 710, 35044, 190800, 3131, 2865, 54260, 46053, 4, 170479, 126934, 874, 39478, 21847, 119055, 53414, 6, 57277, 39340, 2205, 4838, 41764, 137218, 119718, 39340, 4, 6, 238144, 1644, 7265, 41764, 137218, 119718, 4484, 13159, 10339, 147713, 126934, 3069, 58571, 52541, 2200, 2190, 112304, 34533, 6, 148346, 137119, 8300, 71577, 1211, 4, 110573, 10069, 1285, 4667, 2200, 6428, 54260, 23269, 6, 70129, 448, 7508, 54260, 4667, 3069, 193178, 5, 113889, 4667, 1285, 119055, 6093, 16932, 37826, 7369, 205026, 132025, 8903, 506, 75230, 148346, 1211, 3069, 19302, 71577, 1211, 9213, 148346, 6093, 76961, 4852, 54260, 28320, 5, 36324, 7369, 37826, 20033, 1751, 75230, 1211, 37189, 2702, 76961, 6, 148346, 54260, 59461, 6, 26394, 148346, 90848, 12984, 4, 364, 120467, 7369, 205026, 8903, 4944, 71577, 2882, 6, 148346, 54260, 1285, 6, 131445, 2200, 4838, 119055, 29766, 6293, 6235, 80264, 2205, 1751, 54260, 1211, 6, 23173, 54260, 1211, 4, 2200, 2205, 20315, 2050, 2190, 43178, 148346, 105330, 6, 148346, 8580, 16742, 6235, 905, 29766, 1211, 4838, 41764, 137218, 905, 39340, 5, 304, 2357, 26612, 41764, 137218, 119718, 39340, 13159, 37826, 123736, 148346, 6093, 220273, 7511, 2882, 6235, 2648, 75230, 77188, 4, 6, 57277, 39340, 10676, 1470, 54260, 8903, 119132, 90848, 2932, 3056, 874, 54260, 1211, 6, 70129, 6235, 240863, 12483, 41764, 137218, 119718, 4484, 13159, 3496, 71577, 1211, 4, 2200, 6, 148346, 21106, 2648, 7501, 168892, 70845, 6, 130991, 2205, 1285, 364, 35596, 6, 23173, 54260, 1211, 5, 7369, 37826, 205026, 7265, 125523, 22426, 137218, 119718, 4484, 13159, 6, 23173, 54260, 5666, 8903, 212484, 2882, 2205, 4838, 60837, 29771, 710, 7265, 119055, 59929, 6093, 2200, 4838, 7511, 35189, 190135, 2205, 6, 95494, 55823, 5, 4484, 75230, 2050, 6, 148346, 8580, 6255, 6428, 99766, 6235, 159696, 56880, 4838, 6, 59919, 21338, 97816, 4, 3056, 18225, 6, 130991, 6, 225164, 10676, 6, 70129, 4, 10676, 25093, 31467, 8580, 41764, 137218, 119718, 4484, 13159, 6, 128540, 230764, 1285, 46685, 15435, 1211, 5, 37640, 66293, 25093, 31467, 100810, 110573, 61722, 6, 159696, 15388, 37826, 4151, 6, 70129, 6, 139449, 10676, 35044, 29771, 710, 7265, 1285, 32054, 40697, 41764, 137218, 119718, 4484, 13159, 4, 199145, 7369, 37826, 7369, 29659, 6235, 4944, 71577, 2882, 4, 92500, 3056, 6, 148346, 21106, 2648, 4838, 506 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8580, 6235, 240863, 12483, 5, 6255, 6, 148346, 8580, 230764, 10676, 25093, 31467, 8580, 125523, 220224, 155, 6093, 6, 148346, 54260, 4852, 6235, 159696, 56880, 4, 199145, 37729, 70845, 3056, 20033, 4151, 7508, 92605, 6235, 148346, 7972, 148346, 1211, 29659, 54260, 1211, 2205, 364, 186955, 4, 151614, 148346, 6255, 205026, 37189, 2702, 3069, 8903, 4944, 71577, 2882, 2200, 151614, 148346, 220224, 1211, 148346, 137119, 74806, 2865, 92605, 23050, 4852, 75230, 15388, 36324, 75230, 6, 71804, 23405, 4, 6, 148346, 15533, 6255, 6, 148346, 8580, 4838, 90848, 111137, 7201, 21106, 1211, 16175, 75230, 2882, 5, 165592, 75230, 163139, 6255, 6, 148346, 8580, 6235, 22426, 25222, 32206, 3120, 4838, 23917, 3131, 148346, 178303, 506, 4, 3120, 10676, 2442, 148346, 100810, 28415, 15435, 1211, 4, 151614, 148346, 6255, 163139, 35189, 1470, 54260, 1211, 103648, 6235, 506, 40096, 2200, 6, 148346, 8580, 163139, 35189, 82679, 1644, 100863, 6235, 119718, 29766, 1211, 2205, 4838, 115374, 5, 133190, 6, 186145, 6293, 4, 2205, 199145, 56170, 26612, 115374, 4838, 41764, 137218, 119718, 39340, 42542, 874, 39478, 21847, 119055, 53414, 38, 6, 7961, 4838, 119718, 2648, 14004, 2205, 4838, 4269, 148346, 14004, 3120, 4151, 69512, 6319, 10069, 83957, 4, 151614, 148346, 6255, 9719, 4667, 132025, 8903, 225164, 4, 7369, 3056, 1470, 75230, 4667, 4838, 6, 148346, 167673, 8300, 71577, 6093, 5, 2451, 3523, 54260, 1211, 4, 22753, 13497, 1285, 3523, 83586, 4, 151614, 16803, 42493, 6235, 226112, 33225, 5, 2451, 6, 76776, 4, 6, 225975, 6255, 4, 65146, 220224, 1211, 2205, 4838, 3373, 148346, 29766, 29659, 3131, 7682, 4, 4838, 6, 15307, 139962, 14857, 4, 26612, 21776, 25616, 905, 28320, 4944, 71577, 6093, 4, 199145, 7508, 54260, 46053, 3120, 16175, 75230, 2882, 2200, 3120, 17190, 148346, 16870, 7682, 2200, 506, 29771, 148346, 1211, 230764, 6319, 54260, 119132, 6319, 54260, 1211, 6, 31177, 83811, 42493, 711, 2451, 3523, 54260, 1211, 711, 2932, 64260, 1644, 29766, 93497, 6235, 235210, 1644, 18415, 6, 159696, 24152, 4, 564, 183512, 534, 31592, 144025, 2451, 6, 113889, 4, 65146, 220224, 1211, 2205, 4838, 207737, 4, 199145, 7213, 16747, 2882, 120202, 1285, 364, 75230, 2882, 3120, 10069, 114955, 4, 199145, 212632, 6, 148346, 54260, 70845, 4, 4838, 119718, 94741, 710, 5, 6, 99611, 4838, 83182, 3131, 4, 18133, 6, 148346, 34533, 2865, 39478, 21847, 6235, 119718, 29766, 1211, 2205, 4838, 207737, 711, 2451, 3523, 54260, 1211, 711, 6, 225975, 2882, 1285, 3523, 83586, 5, 95455, 21923, 657, 75230, 16932, 6319, 148346, 8300, 12130, 4, 2205, 165592, 13845, 107581, 119055, 77188, 133190, 874, 39478, 21847, 215031, 33414, 96256, 4, 199145, 37826, 42493, 6319, 54260, 1211, 9934, 15949, 506, 8903, 506, 40096, 37729, 4838, 23917, 3131, 148346, 178303, 506, 1470, 54260, 1211, 103648, 3069, 151614, 148346, 1211, 292, 6255, 123736, 148346, 6093, 4, 119718, 120467, 151614, 148346, 4838, 9934, 15949, 506, 6235, 506, 40096, 3069, 9934, 75230, 15388, 6, 148346, 1644, 75230, 37640, 66293, 25093, 31467, 100810, 28415, 15435, 1211, 4, 6, 148346, 8580, 2865, 39478, 21847, 6235, 119718, 29766, 1211, 2205, 4838, 6, 23405, 15435, 4, 2205, 4838, 6, 148346, 13845, 54574, 119718, 43590, 4, 199145, 6, 183718, 1644, 54260, 29060, 8903, 75386, 230764, 116486, 8300, 35596, 5 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26612, 6, 148346, 13845, 54574, 119718, 43590, 26612, 6, 148346, 13845, 54574, 119718, 43590, 3056, 1470, 54260, 59461, 3120, 1285, 3523, 54260, 46545, 4113, 115374, 4, 199145, 68558, 220224, 42542, 1285, 6, 159696, 21295, 42493, 1470, 75230, 2702, 104378, 5, 8947, 3056, 42493, 178748, 44779, 4, 215031, 28726, 115374, 170479, 1211, 6, 124470, 9719, 2648, 151614, 148346, 1211, 152358, 15289, 182731, 4, 8947, 42542, 6319, 54260, 59461, 42493, 2808, 75230, 2702, 104378, 6, 68558, 6, 148346, 29766, 15388, 2200, 657, 54260, 12483, 2200, 119055, 12483, 4151, 6, 148346, 13845, 54574, 119718, 43590, 235466, 22426, 90848, 8300, 35596, 56170, 220224, 1211, 6235, 75386, 4, 199145, 7369, 6, 105515, 6, 17645, 119132, 4151, 144754, 4838, 61842, 4, 68313, 1470, 75230, 4667, 220273, 6319, 54260, 1211, 5332, 119718, 10125, 42493, 5, 199145, 3056, 220224, 1211, 182731, 7369, 61397, 3120, 4852, 54260, 1211, 364, 75230, 4852, 4, 199145, 7369, 56170, 218710, 2882, 32, 8947, 119055, 29060, 6319, 54260, 59461, 42493, 6, 225975, 1211, 4, 36324, 63593, 21660, 6093, 6, 94741, 63020, 70845, 6235, 148346, 1211, 2190, 112304, 34533, 220224, 1211, 364, 75230, 4852, 3069, 119055, 2808, 75230, 49008, 4, 56170, 119718, 120467, 4852, 36326, 170479, 7369, 70845, 6235, 148346, 1211, 220224, 1211, 182731, 2190, 112304, 34533, 4151, 144754, 3069, 364, 183512, 1644, 12483, 32, 4852, 54260, 6093, 198754, 3069, 6, 101470, 116486, 8300, 35596, 4, 133190, 163139, 36324, 75230, 32, 7265, 15622, 25391, 4, 7265, 26612, 30795, 123387, 4, 6, 99611, 4151, 6, 148346, 13845, 54574, 119718, 43590, 2200, 42493, 119055, 6093, 8947, 657, 54260, 29060, 170479, 1211, 506, 29771, 148346, 1211, 7746, 3069, 6319, 203749, 1211, 5, 7369, 192956, 657, 54260, 2882, 188485, 6, 57277, 39340, 36324, 75230, 4, 220224, 56170, 1644, 54260, 12483, 8903, 21295, 4, 188485, 6, 17645, 119132, 4838, 61842, 4, 2200, 6, 101470, 4151, 7201, 23173, 4838, 19302, 54260, 119132, 116486, 8300, 35596, 4, 163139, 46590, 18225, 42542, 6235, 238144, 5666, 44779, 56170, 10069, 49008, 7265, 215031, 45495, 24621, 5, 148346, 54260, 20315, 21923, 3069, 211630, 1211, 12, 4151, 199145, 657, 54260, 29060, 3056, 3069, 211630, 1211, 3120, 4151, 104855, 506, 4, 2200, 4151, 31807, 54574, 119718, 43590, 292, 3120, 10676, 19302, 54260, 119132, 116486, 8300, 35596, 5, 168892, 170479, 6235, 159696, 56880, 220224, 1211, 215031, 6, 148346, 13845, 54574, 119718, 43590, 4, 119055, 39083, 2882, 6255, 1751, 75230, 1211, 46685, 42493, 874, 39478, 21847, 6235, 119718, 29766, 1211, 4, 2200, 4151, 117902, 13982, 40096, 3131, 7682, 4, 199145, 18133, 151614, 16803, 24390, 364, 54260, 13497, 6, 148346, 26612, 2932, 90848, 148346, 1211, 4, 119055, 39083, 2882, 220273, 230764, 4151, 6, 159696, 75386, 42493, 6235, 159696, 56880, 5, 59929, 4667, 6, 218241, 46053, 4, 22639, 103023, 13159, 4, 6235, 54561, 4, 6319, 40096, 126968, 2702, 4, 6, 78683, 4, 506, 114436, 119055, 39083, 28320, 6, 148346, 54260, 2050, 28726, 148346, 1211, 6235, 148346, 7972, 148346, 1211, 4, 4838, 3373, 4667, 6, 148346, 905, 18415, 63849, 13159, 6, 238144, 1211, 2200, 117902, 2442, 16932, 119055, 39083, 28320, 42493, 2808, 75230, 111137, 4484, 29766, 39340, 159696, 2882, 6235, 119718, 29766, 1211, 4, 4838, 3373, 4667, 3496, 26612, 148346, 23173, 29171, 13159, 119055, 39083 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28320, 42493, 6235, 506, 59929, 199145, 3069, 56170, 16629, 171665, 14303, 1211, 2200, 2205, 6319, 99766, 1211, 3069, 56170, 3131, 22426, 159993, 4, 2200, 35189, 22518, 54260, 148346, 6093, 6, 148346, 54260, 2050, 6, 148346, 2754, 122623, 31249, 98683, 119055, 39083, 2882, 6235, 506, 40096, 4838, 3373, 4667, 6, 238144, 29171, 6093, 6, 90090, 850, 3069, 56170, 25391, 54260, 148346, 1211, 292, 133190, 6255, 6, 148346, 8580, 6, 99611, 215031, 6, 148346, 13845, 54574, 119718, 43590, 6235, 119718, 5332, 56880, 4, 6255, 151614, 148346, 20033, 4838, 83182, 3131, 236225, 6235, 159696, 56880, 5, 36324, 123736, 4667, 2200, 304, 3768, 238144, 3056, 1751, 75230, 1211, 10676, 6235, 159696, 56880, 4, 199145, 37826, 6235, 2648, 23173, 23741, 132025, 104378, 3069, 6, 109600, 125523, 8903, 21295, 5, 6, 105780, 6293, 4, 55242, 13805, 116486, 8300, 35596, 4838, 101497, 37826, 6, 148346, 54260, 20033, 6235, 506, 54260, 46053, 4838, 4269, 2865, 65469, 225663, 5, 6, 68558, 4838, 160238, 2865, 21106, 23269, 119055, 37016, 35044, 56170, 29659, 54260, 2882, 7746, 4, 36324, 6255, 151614, 148346, 42493, 183718, 7972, 12483, 4, 133190, 6, 135127, 2442, 6, 148346, 2882, 3149, 2884, 151614, 148346, 6255, 125523, 6, 139449, 4838, 18906, 171665, 2884, 4, 119718, 120467, 37826, 6235, 2648, 23173, 23741, 6, 238144, 29171, 16803, 16667, 29434, 54260, 874, 39083, 36324, 75230, 84087, 119055, 77188, 220224, 1211, 4, 119718, 710, 1285, 45495, 24621, 199145, 6255, 151614, 148346, 6235, 8903, 148346, 1211, 5, 95455, 119055, 37016, 35044, 37826, 123736, 148346, 6093, 1470, 75230, 4667, 8903, 1982, 22151, 2882, 220224, 1211, 230764, 29434, 54260, 874, 39083, 36324, 75230, 84087, 5, 37826, 20033, 9174, 55687, 4151, 148346, 13845, 27023, 1982, 6, 172060, 185226, 3069, 4151, 21422, 2882, 6, 99611, 120202, 8903, 8903, 148346, 1211, 4, 84475, 42493, 1470, 23174, 48904, 64213, 29771, 4113, 8903, 8903, 148346, 1211, 4, 151614, 148346, 6255, 6235, 212484, 2882, 6, 95494, 64213, 10676, 18906, 171665, 2884, 4, 2200, 151614, 148346, 1751, 75230, 1211, 35189, 13342, 174538, 6235, 506, 40096, 4, 14856, 170479, 70845, 6, 95494, 64213, 56170, 4838, 29434, 710, 21338, 163139, 20033, 68313, 6, 130991, 5, 56170, 10676, 9213, 148346, 6093, 133671, 151614, 148346, 6255, 1470, 54260, 5666, 8903, 8903, 49209, 95455, 159696, 13805, 1644, 2200, 151614, 148346, 10676, 6, 148346, 13845, 27023, 1982, 220224, 1211, 56170, 24621, 15388, 9213, 148346, 6093, 8903, 25391, 710, 148346, 1211, 4, 24390, 1470, 54260, 23405, 48350, 21660, 2882, 4, 36324, 75230, 6, 71804, 23405, 36324, 75230, 6, 148346, 2442, 54260, 2882, 4, 6, 148346, 15533, 95455, 4269, 48904, 26394, 119055, 37016, 35044, 68313, 20033, 6, 148346, 26612, 8300, 39083, 2882, 6235, 119718, 29766, 1211, 133880, 10676, 18906, 171665, 2884, 5, 22518, 54260, 12483, 4, 6, 238144, 49008, 4, 148346, 213783, 4, 109925, 28320, 37826, 205026, 6, 99611, 6235, 23173, 2882, 4, 56170, 10339, 21106, 3131, 1751, 119718, 53414, 151614, 148346, 168892, 6319, 54260, 1211, 874, 151461, 42493, 6235, 506, 40096, 4, 6319, 54260, 1211, 30795, 20961, 7611, 151614, 148346, 6255, 56170, 6319, 54260, 119132, 7511, 2882, 6235, 506, 40096, 74, 1470, 15907, 192956, 2442, 6, 94741, 63020, 6, 148346, 155, 506, 151614, 148346, 1211, 3069, 20033, 4, 2200, 6255, 6, 198087 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 119132, 42493, 292, 199145, 49920, 6255, 1285, 186046, 4944, 13159, 38, 292, 13342, 2050, 874, 54260, 16667, 28320, 151614, 148346, 6255, 6235, 121865, 1211, 116486, 8300, 35596, 6, 148346, 54260, 41764, 12415, 51220, 4, 42493, 119718, 15350, 230764, 69715, 1211, 151614, 148346, 47833, 4, 9174, 55687, 4, 6, 31177, 83811, 6235, 506, 40096, 292, 122780, 905, 65577, 711, 31177, 83811, 3056, 42493, 74806, 57277, 49008, 2205, 874, 54260, 1211, 6, 26394, 21338, 4, 133190, 6, 238144, 1644, 4838, 54260, 2648, 4, 119718, 120467, 657, 54260, 29060, 6, 148346, 54260, 215031, 6, 124470, 95957, 15907, 163139, 6255, 182731, 4, 3056, 4838, 6319, 148346, 64213, 4, 4838, 148088, 69355, 4, 92500, 199145, 119055, 13845, 6255, 6, 148346, 54260, 70845, 220273, 1470, 75230, 49268, 54260, 46053, 705, 36324, 6255, 119055, 13845, 70845, 3131, 75230, 1211, 9213, 148346, 6093, 25391, 54260, 148346, 1211, 220224, 1211, 67882, 101328, 16667, 37016, 2200, 119055, 13845, 70845, 1751, 75230, 1211, 1285, 148346, 4113, 148346, 4113, 4944, 13159, 4838, 159696, 4484, 101470, 4, 199145, 42542, 81444, 4, 43649, 54260, 16667, 6235, 225975, 2882, 4, 56170, 26612, 34076, 7682, 220224, 1211, 6, 80453, 45631, 3056, 1470, 54260, 1211, 221895, 6, 170355, 4667, 4, 7369, 37826, 4838, 4151, 21066, 4, 26612, 107189, 4, 4838, 133190, 21106, 142170, 4, 16175, 75230, 38249, 4, 99509, 159696, 24152, 13159, 4, 95455, 3056, 4838, 3373, 42695, 506, 4, 81444, 42542, 51723, 4838, 6, 148346, 54260, 47526, 120202, 28726, 38249, 5, 292, 4838, 6, 80453, 45631, 151614, 148346, 6255, 6235, 8903, 148346, 1211, 182731, 6, 148346, 171665, 61722, 166623, 4, 6255, 151614, 148346, 205026, 220273, 7511, 2882, 6235, 2808, 54260, 21295, 120202, 13342, 101470, 4, 4838, 13982, 148346, 506, 4, 6255, 506, 29771, 148346, 70845, 125523, 76961, 874, 39083, 3069, 8903, 8903, 148346, 1211, 32054, 40697, 206105, 57906, 35465, 4, 4838, 148346, 24295, 29766, 95455, 119055, 37016, 35044, 9213, 148346, 6093, 8903, 25391, 710, 148346, 1211, 5, 8947, 56170, 29659, 54260, 2882, 7746, 4, 36324, 95455, 159696, 13805, 1644, 37826, 6235, 192575, 2882, 220224, 1211, 230764, 29434, 54260, 874, 39083, 36324, 75230, 84087, 5, 1751, 109636, 16932, 4, 134712, 165592, 7369, 3056, 1751, 75230, 1211, 6, 23173, 54260, 23405, 37016, 90848, 12984, 2205, 36324, 75230, 46590, 182731, 4, 36324, 7369, 37826, 3131, 75230, 1211, 42493, 241997, 120202, 8903, 148346, 1211, 4, 151614, 148346, 6255, 1751, 75230, 1211, 56170, 71804, 23405, 2882, 4838, 6, 119859, 69106, 23847, 75230, 46053, 116486, 8300, 35596, 2200, 3944, 39222, 6, 148346, 2882, 3149, 2884, 4838, 119055, 37016, 35044, 230764, 10184, 23269, 6293, 874, 39083, 4, 2200, 75322, 39083, 4, 36324, 6255, 151614, 148346, 133190, 241997, 1470, 75230, 2702, 215629, 2451, 2808, 75230, 6293, 9424, 12483, 874, 39083, 36324, 75230, 46590, 5, 165592, 26612, 74388, 151614, 148346, 6255, 73784, 874, 54260, 16667, 28320, 133190, 6235, 212484, 2882, 657, 75230, 33225, 4838, 9424, 54260, 2882, 2200, 5666, 29766, 42493, 6235, 87311, 13497, 4, 119055, 6093, 63259, 119273, 36324, 4151, 6, 80453, 45631, 3056, 6235, 159696, 56880, 1470, 54260, 1211, 21106, 16932, 5, 151614, 148346, 6255, 70845, 220273, 6235, 212484, 2882, 657, 75230, 33225, 5, 37826, 7369, 123736, 148346, 6093, 133190, 2808, 54260, 1211, 1470 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 2932, 3069, 23269, 101296, 40377, 4, 6, 148346, 8580, 6255, 6, 124470, 710, 171665, 6293, 3069, 8903, 186145, 46053, 7265, 10676, 6, 159696, 13805, 17410, 2884, 151614, 148346, 120202, 139449, 56170, 1470, 15907, 28726, 12984, 6, 75290, 148346, 1644, 9424, 12483, 4, 10339, 25046, 64213, 4, 9424, 119718, 48904, 10918, 4484, 4, 119718, 710, 21066, 6255, 151614, 148346, 133190, 241997, 5, 3056, 4151, 6, 21106, 16932, 123736, 148346, 6093, 1470, 54260, 1211, 6, 37016, 81829, 8903, 159696, 56880, 2200, 37826, 42493, 6235, 119718, 39083, 2882, 6, 13060, 119055, 53414, 2200, 8947, 3056, 20033, 6, 71804, 23405, 8903, 119718, 29766, 1211, 3069, 119055, 23173, 28320, 292, 6, 76776, 4, 151614, 148346, 6255, 205026, 4151, 7201, 23173, 6, 68558, 70845, 20632, 142785, 8903, 159696, 56880, 2200, 151614, 148346, 70845, 6235, 101296, 40920, 4838, 6, 148346, 710, 16932, 895, 16932, 5, 7369, 37826, 23050, 192575, 2702, 144754, 1285, 1470, 75230, 15388, 6, 104149, 4, 163139, 6255, 56170, 4484, 75230, 6293, 220224, 1211, 81444, 63020, 4, 7369, 364, 120467, 6235, 192575, 96256, 75230, 6293, 4151, 895, 16932, 6, 23173, 75230, 2702, 3120, 220224, 1211, 364, 75230, 6293, 4, 3120, 220224, 1211, 16175, 40096, 16667, 6, 142673, 506, 92500, 7746, 119055, 21106, 61397, 1211, 2205, 4151, 129165, 27105, 5, 4838, 32532, 119718, 506, 170479, 2882, 7369, 42493, 6235, 4852, 39083, 2882, 657, 54260, 12483, 6, 148346, 54260, 20033, 6319, 54260, 1211, 182731, 38, 199145, 3056, 4, 6255, 151614, 25207, 159696, 230764, 111215, 506, 148346, 2808, 32, 364, 26612, 32, 292, 88771, 6, 57277, 39340, 4, 95455, 88771, 4113, 119055, 37016, 35044, 7265, 123736, 38054, 13497, 44779, 22426, 90848, 8300, 35596, 119055, 39083, 2882, 7369, 241997, 17824, 23174, 6, 148346, 26612, 8300, 39083, 1211, 2200, 8947, 119055, 39083, 2882, 70845, 2932, 29766, 42493, 1751, 159696, 2442, 6, 148346, 25603, 56880, 5, 14856, 37826, 133190, 4151, 710, 148346, 6093, 6235, 2648, 23173, 23741, 95455, 81444, 63020, 7201, 23173, 4484, 75230, 33225, 4, 6, 238144, 1644, 874, 54260, 1211, 60631, 148346, 2884, 37826, 132025, 8903, 226112, 33225, 9424, 12483, 17268, 7201, 64213, 874, 39083, 36324, 75230, 46590, 4, 119718, 710, 46590, 8947, 3056, 3120, 70845, 6, 130991, 4, 133190, 199145, 4269, 54260, 2882, 95455, 205026, 6, 68558, 32, 13159, 3056, 874, 54260, 1211, 6, 48775, 148346, 13159, 19024, 29400, 4, 4838, 1751, 54260, 23269, 7508, 54260, 23269, 110573, 80453, 506, 38, 119055, 10705, 43649, 54260, 2882, 8947, 8903, 25391, 710, 148346, 1211, 4, 36324, 7369, 6, 94741, 63020, 151614, 148346, 1211, 6, 93704, 29766, 6293, 32, 292, 36324, 6255, 3373, 29766, 6319, 54260, 1211, 81444, 63020, 7511, 2882, 151614, 148346, 1211, 4, 178748, 6255, 151614, 148346, 1211, 6235, 75386, 5, 292, 168892, 119055, 13845, 124724, 220273, 1751, 114436, 2702, 4151, 8300, 54260, 67873, 12, 8947, 3056, 20033, 3523, 136775, 8903, 119718, 29766, 1211, 7746, 6, 21106, 54260, 1211, 6, 71804, 23405, 10676, 6319, 137377, 3069, 18133, 67873, 4, 119055, 23173, 28320, 73880, 84475, 101328, 164863, 71804, 23405, 2200, 4151, 238144, 1644, 874, 54260, 1211, 6, 148346, 710, 35044, 152358, 15289, 6, 212484, 1211, 2205, 129165, 2865, 140746, 35596, 4, 151614, 148346, 6255, 205026, 6, 75322, 39083, 874, 54260, 54343 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 159696, 56880, 2200, 151614, 148346, 36324, 75230, 6235, 80264, 4, 13159, 37826, 205026, 1470, 54260, 59461, 74806, 93449, 6, 225164, 3069, 7746, 4, 6255, 170479, 70845, 4838, 177282, 54260, 12483, 2882, 75230, 4852, 13497, 6, 75290, 148346, 44779, 4, 4838, 115556, 7265, 4838, 67882, 101328, 13497, 37016, 4, 133190, 6, 148346, 36326, 609, 6, 104038, 506, 120467, 7369, 6, 99611, 6235, 506, 40096, 6319, 54260, 1211, 874, 119718, 15289, 6, 75290, 148346, 1644, 2200, 37826, 3523, 54260, 46545, 6, 59461, 23173, 17748, 86549, 3131, 22426, 54260, 1211, 2205, 6319, 99766, 1211, 2200, 1470, 54260, 1211, 6, 129071, 12415, 36419, 4838, 1751, 54260, 23269, 3056, 17824, 142429, 1470, 75230, 4667, 8903, 159696, 56880, 2205, 43649, 64260, 5, 6, 113889, 4, 199145, 6, 202075, 18225, 42493, 2205, 215031, 3523, 54260, 46545, 6093, 8300, 54260, 2882, 32, 7369, 37826, 20033, 6235, 21847, 29060, 4, 6235, 17494, 29659, 4, 137, 87311, 17645, 6, 88660, 4944, 48904, 4113, 4, 19024, 175323, 41764, 710, 76632, 141943, 104149, 155, 292, 137, 204403, 30979, 54745, 3111, 5666, 4, 4231, 59929, 142170, 6, 48775, 142170, 711, 6255, 119055, 13845, 6235, 148346, 1211, 4, 133190, 26612, 119055, 37016, 35044, 230764, 10184, 23269, 6293, 874, 39083, 36324, 75230, 84087, 4, 18133, 6, 238144, 16803, 81444, 4667, 4, 41764, 710, 142170, 81444, 148346, 90848, 2648, 4852, 17645, 4, 874, 54260, 1211, 110573, 76866, 20971, 292, 137, 26217, 2882, 4, 95455, 119055, 37016, 35044, 3056, 56170, 46545, 4, 6, 76776, 4, 33960, 148346, 8903, 21295, 20971, 2451, 37271, 3131, 54260, 1211, 20971, 6255, 6, 119132, 95455, 119055, 37016, 35044, 4, 657, 54260, 12483, 8947, 9213, 148346, 6093, 4, 37189, 2702, 711, 2451, 168892, 6, 119132, 205026, 3069, 4151, 115222, 3131, 65482, 292, 6, 232187, 4, 41764, 36326, 22426, 48775, 36326, 2050, 41764, 710, 142170, 711, 168892, 65146, 4838, 657, 75230, 6293, 6, 80264, 4838, 506, 54260, 2050, 4, 6255, 151614, 148346, 56170, 8903, 46053, 95455, 6235, 75386, 7265, 13342, 101470, 4, 2205, 10676, 1470, 75230, 2932, 5666, 148346, 105330, 6, 81050, 6255, 98252, 5, 6255, 151614, 148346, 42493, 6235, 119718, 23173, 2882, 230764, 6319, 54260, 1211, 6, 124470, 41387, 506, 2200, 6, 148346, 8580, 1751, 75230, 1211, 4838, 159696, 4484, 292, 7265, 10676, 119055, 37016, 35044, 2865, 54260, 16667, 34079, 4, 6255, 6, 148346, 8580, 98252, 130991, 7265, 182731, 32, 4838, 874, 171665, 506, 711, 199145, 3056, 4, 26612, 17824, 75230, 36419, 32532, 119718, 506, 7369, 170479, 56170, 3131, 22426, 159993, 2205, 6319, 99766, 1211, 84475, 4151, 129071, 12415, 36419, 4838, 159696, 4484, 8903, 148346, 1211, 705, 6, 68558, 20033, 3056, 28415, 32532, 119718, 506, 5, 2205, 206105, 117875, 448, 4838, 68550, 364, 120467, 7369, 20033, 120202, 8903, 5666, 148346, 1211, 874, 54260, 1211, 6235, 75386, 4, 95455, 4269, 48904, 26394, 159696, 13805, 1644, 7265, 116486, 8300, 35596, 5, 874, 54260, 16667, 16878, 23165, 4, 36324, 6255, 151614, 148346, 36324, 75230, 6235, 121865, 1211, 92500, 6235, 48775, 148346, 4113, 159696, 2882, 4, 151614, 148346, 6255, 37640, 66293, 182731, 17824, 75230, 2702, 221531, 6235, 506, 40096, 4, 151614, 148346, 62808, 6, 124470, 43178, 23964, 448, 132025, 8903, 80264, 2200, 6, 148346, 2442, 54260, 2882, 6235 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28726, 148346, 2882, 65146, 6255, 124724, 6, 225975, 1211, 4, 165592, 205026, 37826, 18225, 2205, 43649, 64260, 6235, 225164, 6, 148346, 54260, 2050, 3069, 113889, 51723, 137, 133274, 2004, 6, 238144, 17410, 18167, 151614, 148346, 6235, 28726, 148346, 2882, 6, 57277, 39340, 41764, 134193, 163139, 4838, 116486, 82576, 6, 133274, 5, 6255, 151614, 148346, 62808, 4838, 67826, 21733, 6, 148346, 2442, 75230, 2882, 6, 99611, 56170, 26217, 49008, 3069, 8947, 1211, 4, 6255, 151614, 148346, 6235, 94741, 33716, 2200, 8903, 4484, 119718, 23173, 2882, 4, 6, 148346, 8580, 6, 124470, 9719, 2648, 101251, 8903, 240863, 12483, 56170, 3131, 101296, 40920, 5, 6255, 151614, 148346, 6235, 28726, 148346, 57277, 4852, 6255, 151614, 148346, 6235, 8300, 54260, 21295, 6, 75290, 148346, 44779, 5, 6255, 151614, 148346, 6235, 506, 40096, 4838, 80839, 2050, 6, 238144, 148346, 2451, 15289, 13515, 124470, 2050, 1470, 75230, 4667, 4838, 6, 100863, 39478, 292, 119055, 29766, 46598, 22753, 3056, 1470, 75230, 4667, 36324, 75230, 6, 78683, 48974, 6235, 159696, 56880, 163139, 2205, 4, 2200, 37826, 133190, 116486, 8300, 35596, 6235, 121865, 1211, 5, 22753, 46654, 35596, 6, 225975, 1211, 4838, 3373, 4667, 124470, 506, 46067, 4, 2205, 11265, 6, 124470, 506, 69336, 17017, 3056, 123736, 148346, 6093, 133190, 74806, 57277, 49008, 12, 137, 2442, 148346, 74197, 620, 71107, 4, 75290, 148346, 44779, 38, 6, 75290, 148346, 44779, 38, 4838, 3373, 4667, 6, 75290, 148346, 44779, 16, 125523, 6, 75290, 148346, 44779, 20971, 11265, 6, 124470, 46590, 506, 56170, 7972, 40920, 148346, 35596, 81829, 3056, 6235, 159696, 56880, 152, 137, 2442, 148346, 74197, 620, 71107, 4, 6, 75290, 148346, 44779, 6, 20971, 1285, 6, 124470, 3149, 29338, 69355, 121193, 54260, 2882, 44779, 657, 54260, 15388, 3056, 6235, 159696, 56880, 12, 137, 2442, 148346, 74197, 620, 71107, 4, 6, 75290, 148346, 44779, 20971, 95455, 94741, 159696, 49008, 3120, 119055, 29771, 4667, 4, 1751, 148346, 609, 2200, 17953, 104855, 3056, 133190, 6235, 159696, 56880, 12, 6, 75290, 148346, 44779, 4, 75290, 148346, 44779, 711, 95455, 3056, 6235, 159696, 56880, 11265, 4231, 10918, 28133, 6, 170895, 41764, 2702, 3149, 73784, 92904, 4, 11265, 4113, 21374, 9134, 40611, 6, 124470, 155697, 148346, 34557, 4, 11265, 32054, 54260, 2648, 2200, 11265, 657, 54260, 2648, 4, 80347, 185758, 6, 148346, 2442, 14325, 2200, 11265, 19302, 10125, 5, 137, 2932, 64260, 170479, 1470, 54260, 4667, 6, 148346, 35596, 81829, 7265, 4838, 75290, 148346, 44779, 20971, 2451, 506, 64260, 22753, 3069, 8903, 119718, 10705, 16667, 81829, 10676, 4, 199145, 37826, 11265, 4838, 61842, 8903, 80264, 5, 137, 4484, 54260, 1211, 6, 75290, 148346, 1644, 170479, 2882, 11265, 42493, 151614, 148346, 1211, 6, 20971, 292, 37826, 22753, 74806, 39083, 28320, 20315, 2050, 4, 199145, 22753, 37826, 7746, 7265, 70845, 6235, 84316, 16667, 5, 73486, 7611, 4, 20033, 21923, 114564, 56170, 364, 17310, 6093, 74806, 205416, 148346, 1211, 2205, 15750, 25391, 92500, 110573, 61722, 5, 119055, 29766, 46598, 110573, 61722, 151614, 148346, 1211, 20033, 1470, 75230, 4667, 6235, 506, 40096, 12, 14856, 46654, 172398, 194706, 148346, 213783, 230764, 76961, 77756, 15050, 292, 6, 238144, 1644, 148932, 3056, 194706, 182731, 131397, 103023, 8903, 159696, 56880, 292, 2200, 133190, 54745, 57619, 2865, 39083 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 151614, 148346, 1211, 20033, 194706, 72577, 132025, 8903, 8903, 46053, 2819, 159696, 1211, 42493, 1285, 77756, 15050, 4, 119055, 39083, 28320, 20033, 6, 57277, 39340, 6235, 159696, 56880, 1470, 75230, 2702, 8903, 240863, 12483, 7201, 23173, 364, 17310, 6093, 5, 2648, 120467, 6, 238144, 148346, 292, 6319, 54260, 1211, 72577, 2702, 170479, 22753, 6, 99611, 151614, 148346, 1211, 38, 292, 37826, 205026, 2932, 29766, 6235, 4484, 75230, 1644, 29060, 152, 6, 238144, 1644, 22753, 37826, 125523, 28415, 3944, 148346, 6235, 506, 40096, 182731, 3120, 62808, 4, 37826, 22753, 6, 23173, 54260, 23405, 79238, 34079, 22426, 2882, 182731, 2205, 36324, 13845, 107581, 7369, 16932, 4, 199145, 3056, 2648, 99766, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 4, 4838, 148346, 710, 18225, 37826, 11265, 3069, 8903, 225975, 2882, 4838, 3373, 4667, 22426, 90848, 8300, 35596, 5, 199145, 151614, 148346, 6255, 6235, 4852, 39083, 2882, 193178, 7265, 36324, 75230, 23269, 6, 148346, 13845, 710, 27023, 38574, 4, 199145, 24621, 37826, 6, 148346, 54260, 220224, 42493, 199145, 3069, 6, 101470, 705, 220224, 1470, 54260, 54561, 21660, 1211, 6, 94741, 63020, 18225, 2648, 29771, 4667, 6235, 148346, 1211, 6319, 29766, 24621, 119718, 29771, 710, 4, 170479, 6255, 125523, 657, 54260, 15388, 95455, 17190, 148346, 16870, 125897, 1470, 75230, 33225, 2882, 75230, 28320, 705, 292, 364, 171665, 76866, 4, 22753, 37826, 205026, 101251, 21847, 7682, 44779, 6235, 101296, 40920, 5, 874, 54260, 1211, 182731, 68313, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 4, 1285, 7508, 119718, 36484, 151614, 148346, 1211, 95455, 6, 97925, 1470, 75230, 111137, 46053, 5, 199145, 202075, 18225, 705, 165592, 6255, 151614, 148346, 6235, 104149, 4, 8947, 364, 54260, 148346, 2882, 20033, 6, 68558, 620, 91595, 3069, 3523, 54260, 1211, 4, 2865, 54260, 1211, 182731, 119055, 77188, 56170, 7201, 21106, 1211, 4, 6, 148346, 8580, 6255, 6235, 7201, 29766, 1211, 73784, 25093, 31467, 8580, 4, 119055, 29766, 46598, 69355, 4838, 72577, 1211, 54260, 35465, 151614, 148346, 6255, 1751, 57277, 24152, 6235, 234221, 5, 874, 54260, 1211, 6, 238144, 148346, 10339, 147713, 2882, 4852, 18167, 1751, 57277, 24152, 117902, 25207, 1211, 7265, 874, 95957, 9134, 2200, 9934, 76776, 104238, 4484, 13159, 2200, 6, 88660, 32206, 5666, 119718, 23173, 59919, 100810, 4, 133190, 6255, 151614, 148346, 29434, 710, 49008, 6, 238144, 29171, 119718, 120467, 6235, 21847, 75230, 148346, 2882, 4, 2205, 10676, 2442, 148346, 8580, 151614, 148346, 6255, 28415, 6, 172039, 6235, 506, 40096, 5, 6255, 6, 238144, 2702, 4, 160238, 2702, 4838, 6, 164131, 711, 292, 9719, 17410, 4, 6255, 151614, 148346, 10676, 25093, 31467, 8580, 6235, 8903, 148346, 1211, 230764, 4838, 41764, 10069, 2884, 4, 44855, 13515, 124470, 2050, 42493, 4484, 54260, 1211, 71180, 155, 2882, 5950, 17525, 4, 119055, 29766, 46598, 182731, 6235, 148346, 1211, 3056, 20033, 6, 124470, 9719, 2648, 220224, 6093, 3131, 159696, 2442, 6235, 159696, 56880, 4, 874, 54260, 1211, 364, 84577, 37826, 133190, 241997, 6, 101470, 4, 133190, 10676, 2442, 148346, 8580, 65146, 18225, 81444, 4667, 5332, 22426, 13159, 6235, 148346, 98071, 5, 4151, 25093, 31467, 710, 364, 120467, 205026, 6235, 148346, 172398, 2702, 2702, 144754, 4838, 41764, 2702, 43082, 137, 54574, 75230, 2702, 4269, 75230, 2050, 25093 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31467, 448, 39956, 31467, 506, 1157, 25282, 77525, 155, 292, 18133, 119055, 119273, 84577, 1644, 54260, 12483, 4838, 3373, 4667, 20632, 54260, 2050, 4, 3496, 64260, 3131, 18133, 119055, 119273, 6319, 54260, 119132, 42493, 4838, 177282, 54260, 12483, 5, 6255, 304, 5016, 148346, 8580, 6235, 159696, 56880, 4838, 67826, 21733, 68173, 27513, 4, 151614, 148346, 6255, 205026, 132025, 8903, 225164, 12, 137, 16803, 54260, 48253, 4, 2442, 148346, 710, 38, 1157, 25282, 77525, 3056, 81444, 4667, 16175, 54260, 48253, 12, 18133, 119055, 119273, 42493, 657, 54260, 12483, 52, 292, 137, 134193, 506, 4, 2648, 64260, 7746, 4151, 25093, 31467, 710, 4838, 6, 148346, 54260, 168155, 23050, 28320, 4, 199145, 3056, 4, 4838, 6, 148346, 13845, 79950, 108264, 148346, 34533, 905, 133190, 4, 122780, 905, 65577, 9934, 6255, 364, 54260, 2702, 1157, 25282, 77525, 170479, 220224, 1211, 1285, 16175, 54260, 48253, 4852, 39083, 16803, 6, 99611, 4838, 177282, 54260, 12483, 5, 160238, 4838, 506, 54260, 2050, 2200, 6, 212484, 1285, 4667, 42493, 132025, 2932, 54260, 1211, 20971, 4838, 159696, 4484, 7201, 29766, 213952, 37640, 66293, 25093, 31467, 8580, 21923, 20033, 220224, 23269, 119055, 6093, 16932, 2205, 6319, 137377, 6, 23173, 54260, 1211, 92500, 6, 148346, 8580, 6, 130991, 230764, 4151, 5332, 8632, 3069, 193178, 10339, 21106, 36326, 6319, 119718, 15907, 44779, 230764, 2442, 54260, 107581, 41764, 12415, 51220, 4, 292, 95455, 174538, 37826, 6235, 506, 39083, 33225, 5, 6255, 151614, 148346, 6235, 84316, 15388, 26612, 6, 148346, 65606, 4, 199145, 6319, 68558, 1285, 41545, 24001, 14325, 4, 2200, 151614, 148346, 6235, 101296, 40920, 6319, 119718, 15907, 44779, 230764, 80453, 31623, 448, 199145, 21923, 1751, 75230, 1211, 6, 71804, 23405, 16175, 75230, 2882, 2200, 6, 148346, 8580, 6, 130991, 3069, 220224, 123073, 16580, 83182, 6, 87311, 49008, 4, 1285, 114955, 4, 199145, 151614, 148346, 1211, 42493, 6235, 119718, 39083, 2882, 220224, 123073, 13845, 16932, 16667, 6, 113889, 51723, 6, 95494, 152848, 193178, 4, 151614, 148346, 1211, 6235, 8300, 39083, 2882, 5, 292, 124470, 46352, 609, 9213, 905, 95455, 74806, 119273, 220224, 6093, 72577, 6235, 240863, 12483, 5, 76961, 4231, 17310, 4113, 80453, 31623, 448, 57973, 6235, 8300, 39083, 2882, 1285, 6319, 119718, 15907, 44779, 4, 199145, 6255, 151614, 148346, 6, 113889, 4944, 8903, 101296, 40920, 2808, 75230, 6293, 220224, 123073, 74806, 205416, 148346, 65482, 895, 16932, 1211, 4, 8947, 364, 120467, 6319, 54260, 59461, 4838, 119055, 99766, 42493, 238197, 5, 6255, 6, 148346, 8580, 6, 148346, 54260, 20033, 36324, 75230, 1751, 57277, 24152, 6235, 119718, 29766, 1211, 2205, 4151, 6, 140746, 4, 165592, 6255, 151614, 148346, 41764, 134193, 17288, 20116, 6235, 506, 40096, 3069, 193178, 4838, 6319, 119718, 710, 21338, 230764, 4838, 17190, 148346, 16870, 133671, 6, 80453, 45631, 2200, 6, 148346, 8580, 70845, 6, 130991, 6, 87311, 49008, 5, 4151, 6, 80453, 45631, 17806, 20911, 205026, 6, 68558, 119718, 710, 4838, 74127, 8903, 119132, 152, 137, 159696, 1211, 151614, 148346, 6255, 6, 148346, 54260, 124724, 6, 139449, 182731, 6, 24846, 2451, 37271, 16803, 54260, 48253, 4, 905, 12483, 705, 123736, 2932, 6255, 4, 6, 64260, 95455, 3056, 81444, 4667, 6428, 54260, 1211, 6319, 75230, 35044, 4, 8947, 43649, 54260, 2882, 81444, 4667, 14004 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 66293, 6319, 119718, 710, 21338, 4, 6319, 43178, 126934, 54745, 1211, 657, 54260, 4484, 171428, 4, 36324, 95455, 3056, 42493, 6428, 54260, 1211, 506, 609, 31529, 6, 24846, 292, 4151, 6, 80453, 45631, 3056, 22518, 37016, 44779, 6, 148346, 54260, 4852, 6235, 119718, 29766, 1211, 2200, 37826, 205026, 171433, 8903, 506, 75230, 148346, 1211, 3069, 112216, 48253, 1211, 5, 6255, 6, 148346, 8580, 6235, 7201, 21106, 1211, 3069, 4151, 7369, 2648, 4, 7369, 37826, 9719, 4667, 6235, 49268, 213783, 6, 203326, 1285, 6, 131445, 5, 58571, 7611, 4, 7369, 37826, 205026, 36324, 75230, 74806, 203749, 1211, 4, 165592, 14856, 37826, 205026, 4838, 159696, 4484, 8903, 226112, 15388, 2205, 4838, 657, 54260, 44779, 5, 6255, 151614, 148346, 4838, 40920, 97634, 2932, 6235, 25616, 135118, 2882, 2200, 7501, 74806, 205416, 148346, 1211, 35189, 41545, 4667, 86270, 37826, 7265, 20033, 6319, 54260, 1211, 3373, 4667, 119166, 64213, 42493, 6235, 101296, 40920, 18133, 6, 148346, 34533, 4, 6, 225975, 2702, 7369, 4, 6235, 159696, 56880, 4838, 6, 133274, 4, 14856, 37826, 1285, 4667, 6235, 225164, 133274, 4, 2200, 18133, 170479, 16803, 3496, 23173, 6428, 54260, 23269, 22753, 16747, 874, 39478, 21847, 119055, 53414, 2205, 4838, 6, 133274, 5, 98989, 26612, 6, 133274, 168892, 65146, 124724, 6, 225975, 1211, 4, 874, 54260, 1211, 3944, 148346, 6093, 69512, 212915, 4, 36324, 4838, 6, 133274, 3056, 5666, 29766, 42493, 620, 91595, 3069, 220224, 1211, 5, 95455, 200795, 151614, 148346, 6255, 6, 80453, 124873, 6, 148346, 12415, 119718, 3149, 4, 13159, 1211, 9213, 148346, 6093, 6428, 13159, 874, 75230, 1644, 2200, 8947, 37826, 205026, 4838, 4269, 90848, 81829, 42493, 6235, 88660, 16803, 5, 168892, 151614, 148346, 6235, 506, 40096, 95455, 6, 148346, 13159, 18415, 6235, 147713, 6093, 4, 6255, 151614, 148346, 205026, 1470, 75230, 2702, 8903, 119718, 21106, 61397, 2882, 126081, 268, 76961, 6, 148346, 1644, 64260, 13159, 5, 8947, 37826, 205026, 133190, 56170, 13982, 120467, 1211, 4, 199145, 6255, 506, 29771, 148346, 6235, 2648, 23173, 23741, 6, 148346, 13845, 54574, 119718, 43590, 238144, 4852, 36324, 75230, 151614, 25207, 159696, 1211, 4, 151614, 148346, 1211, 3069, 160204, 144754, 115374, 4, 7746, 7265, 220224, 3069, 117902, 163177, 9183, 12483, 4, 6, 113889, 4944, 101296, 12984, 10339, 21106, 36326, 77756, 38461, 4, 165592, 75230, 4, 36324, 14856, 37826, 20033, 36324, 3131, 1285, 6, 148346, 54260, 59461, 6, 26394, 148346, 90848, 12984, 4, 76961, 2702, 110573, 10069, 3069, 148346, 26612, 104378, 182731, 4, 4838, 10073, 182731, 4, 125523, 182731, 4, 6, 75290, 148346, 44779, 38, 6, 75290, 148346, 44779, 38, 163139, 2865, 54260, 1211, 6, 238144, 148346, 10339, 147713, 2882, 3069, 6, 225975, 1211, 4, 36324, 4838, 6, 133274, 42542, 7746, 133190, 6, 68558, 10676, 6, 148346, 26612, 2932, 54260, 1211, 5, 199145, 107776, 20033, 6, 23173, 75230, 2702, 3120, 10676, 76961, 51723, 32, 95455, 182731, 3056, 8903, 148346, 7972, 148346, 1211, 6, 148346, 54260, 874, 54260, 1211, 6, 238144, 148346, 2200, 6255, 6, 148346, 8580, 6235, 159696, 56880, 4838, 6, 133274, 2200, 7501, 6, 238144, 16932, 4838, 6, 133274, 5, 113889, 4667, 1470, 54260, 1211, 6, 170355, 4667, 3056, 20033, 220224, 6093, 620, 91595, 6235, 159696, 56880, 12, 6255, 151614, 148346, 205026 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8903, 4852, 29766, 98833, 2200, 151614, 148346, 874, 151461, 6235, 506, 40096, 4, 36324, 1470, 31623, 2702, 119055, 13845, 6255, 220273, 6319, 54260, 1211, 6, 124470, 114773, 3131, 75230, 1211, 42493, 151614, 148346, 1211, 2200, 119055, 13845, 1751, 75230, 1211, 65146, 1211, 6, 148346, 1644, 54260, 148346, 1211, 230764, 1470, 54260, 148346, 7682, 4838, 6, 133274, 5, 165592, 6255, 7501, 6235, 159696, 56880, 4838, 45521, 38054, 4, 4838, 10184, 3131, 4, 1470, 54260, 1211, 1470, 54260, 59094, 4, 4838, 41764, 137218, 119718, 39340, 4, 26612, 46590, 905, 4838, 364, 106559, 4, 6, 148346, 8580, 6255, 76961, 874, 39083, 6, 130991, 3069, 4838, 6, 54260, 35465, 2205, 165284, 148346, 23173, 54260, 1211, 4, 151614, 148346, 6, 75322, 39083, 221387, 4838, 6, 178303, 506, 2200, 6, 148346, 2442, 16878, 5, 6255, 6, 238144, 2702, 84087, 4, 168892, 151614, 148346, 205026, 6, 21106, 7611, 6235, 12415, 148346, 1211, 4838, 68550, 4151, 6, 178303, 506, 4, 6, 148346, 15533, 6255, 151614, 148346, 6235, 506, 40096, 1470, 54260, 1211, 103648, 2200, 6, 148346, 8580, 163139, 35189, 874, 39478, 21847, 6235, 119718, 29766, 1211, 2205, 4838, 115374, 4, 95766, 4838, 6, 54260, 35465, 4, 3496, 64260, 3131, 199145, 56170, 4838, 6, 54260, 35465, 4, 3056, 81444, 4667, 4838, 6, 54260, 2648, 38, 182261, 123736, 148346, 6093, 26612, 6, 133274, 4, 210346, 3056, 874, 54260, 1211, 17190, 148346, 1211, 38, 56170, 3131, 119718, 23173, 56169, 6, 148346, 8580, 2205, 6235, 119718, 29766, 1211, 38, 4484, 54260, 1211, 6, 54260, 2648, 6, 212484, 2882, 205026, 6, 99611, 230764, 1285, 1470, 75230, 15388, 5, 6255, 119055, 21106, 63188, 205026, 133190, 105586, 8300, 119718, 65689, 37189, 54260, 2050, 4, 56170, 105780, 82576, 2882, 6, 148346, 8580, 6255, 6235, 119718, 29766, 1211, 4, 6255, 46711, 29060, 42493, 14004, 148346, 6093, 4838, 6, 54260, 2648, 40697, 1751, 159696, 1644, 4, 163139, 36324, 75230, 42542, 6255, 6, 104378, 3069, 1470, 54260, 1211, 103648, 32, 168892, 151614, 148346, 20033, 4838, 46590, 905, 76961, 178748, 192956, 7544, 6235, 8903, 148346, 1211, 4, 205026, 3069, 4838, 6, 54260, 35465, 95766, 165284, 148346, 6, 23173, 54260, 1211, 3069, 3496, 71577, 1211, 4, 6, 75322, 39083, 6, 148346, 54260, 70845, 4838, 117902, 2702, 76632, 26394, 9213, 148346, 6093, 198087, 53414, 4, 6, 75322, 39083, 4838, 110573, 25391, 1470, 75230, 2702, 23269, 4852, 21106, 64213, 1751, 46545, 46654, 54260, 3131, 4838, 159696, 4484, 13342, 226112, 15388, 4, 99611, 1470, 54260, 1211, 874, 39083, 151614, 148346, 6255, 6235, 4944, 71577, 2882, 19302, 4113, 22426, 7265, 43649, 37016, 16667, 7265, 6319, 64260, 86733, 13159, 2200, 151614, 148346, 8947, 28798, 148346, 1644, 6, 148346, 26612, 506, 25559, 6235, 159696, 56880, 4, 4838, 12890, 4838, 9934, 4944, 98071, 506, 3069, 151614, 148346, 1211, 4113, 22426, 13159, 4838, 364, 54260, 105330, 119055, 99766, 3120, 4838, 6, 54260, 35465, 3069, 364, 53414, 292, 874, 54260, 1211, 7544, 3056, 123736, 148346, 6093, 8903, 159696, 56880, 220273, 2190, 112304, 34533, 5, 36324, 4151, 6, 54260, 2648, 37826, 133190, 874, 54260, 1211, 46711, 54260, 29111, 186046, 89930, 4113, 15, 80453, 13342, 6293, 16, 4151, 104149, 4, 37826, 70845, 4838, 18133, 59461, 4151, 3131, 203749, 1211, 5, 7369, 37826, 6235, 234221 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22639, 144754, 1211, 6, 94741, 159696, 49008, 4, 37826, 7369, 6, 124470, 710, 171665, 6293, 1470, 75230, 150020, 20616, 77188, 5, 137, 26612, 6, 133274, 68313, 2205, 165284, 148346, 38, 46711, 54260, 148346, 2882, 70845, 6, 23173, 75230, 2702, 38, 6255, 42542, 6, 99611, 6, 94741, 159696, 49008, 20971, 58571, 7611, 4, 168892, 151614, 148346, 205026, 4838, 144532, 8903, 13982, 54260, 2882, 36324, 75230, 6, 71804, 23405, 2200, 151614, 148346, 42493, 241997, 506, 29771, 148346, 1211, 6319, 54260, 1211, 103648, 4, 6, 148346, 15533, 36324, 6255, 6, 148346, 8580, 1751, 75230, 1211, 6, 103023, 2200, 45521, 2882, 6235, 119718, 29766, 1211, 4, 506, 64260, 18225, 205026, 74806, 97634, 12984, 4, 120202, 8903, 114349, 21106, 29060, 2200, 230764, 67826, 75290, 6, 26394, 5, 506, 129071, 5, 874, 54260, 1211, 46654, 54260, 3131, 2200, 874, 54260, 1211, 10498, 21106, 7611, 37826, 18225, 230764, 56170, 16629, 2648, 65482, 170355, 12984, 56170, 7511, 56169, 4, 3120, 4838, 17824, 75230, 46053, 3373, 54260, 1644, 37826, 18225, 6235, 101296, 40920, 6319, 39083, 148346, 59929, 13159, 5, 2648, 120467, 3056, 6235, 159696, 56880, 874, 54260, 1211, 34076, 7682, 4, 36324, 75230, 163139, 18133, 119055, 119273, 364, 53414, 5, 119718, 710, 18225, 37826, 133190, 874, 54260, 23269, 6319, 39083, 148346, 59929, 13159, 6, 23173, 54260, 5666, 8903, 148346, 48775, 40920, 2205, 4838, 2932, 75230, 98071, 3131, 27855, 177243, 6, 23173, 54260, 1211, 4, 3056, 6, 148346, 21106, 2648, 6, 23173, 54260, 5666, 130991, 4838, 74127, 2932, 114436, 69715, 92500, 37826, 7746, 6235, 506, 54260, 46053, 6235, 148346, 1211, 4838, 6319, 39083, 148346, 59929, 5, 7369, 37826, 132025, 8903, 80264, 95455, 87637, 21338, 2200, 37826, 6, 119859, 69106, 7369, 16667, 2882, 4838, 6, 148346, 2442, 14325, 6235, 101296, 40920, 2200, 37826, 74806, 2865, 92605, 5666, 65482, 46053, 5, 148346, 54260, 1285, 119055, 6093, 16932, 151614, 148346, 6255, 205026, 132025, 8903, 225164, 3069, 4151, 3523, 83586, 12, 2451, 4838, 39340, 15388, 199145, 9424, 54260, 1644, 126934, 6, 109600, 4838, 6, 104038, 3120, 4838, 74127, 23269, 119132, 4852, 18133, 2865, 54260, 16667, 2882, 4, 36324, 6255, 6, 148346, 8580, 4838, 116486, 82576, 69512, 3131, 14857, 4, 6, 238144, 2702, 6255, 220273, 7511, 2882, 4, 165592, 15, 13159, 268, 6235, 7916, 49008, 7746, 1470, 75230, 4667, 19302, 29766, 4113, 6, 54260, 35465, 4, 199145, 3496, 71577, 1211, 67826, 44478, 506, 54260, 57277, 6319, 39083, 148346, 59929, 32, 6, 7961, 6, 101328, 4, 6, 225975, 2882, 1285, 3523, 83586, 4, 18133, 6, 148346, 34533, 6, 61397, 91595, 4, 8947, 3056, 4838, 46590, 905, 81444, 165592, 13845, 107581, 4, 199145, 8947, 1211, 133190, 6, 73381, 13497, 44779, 6319, 39083, 148346, 59929, 13159, 4, 2200, 6428, 119718, 46985, 19302, 29766, 4113, 4, 5666, 29766, 4838, 19302, 29766, 119425, 4, 199145, 6, 119273, 6319, 39083, 148346, 59929, 13159, 4, 67882, 40920, 81444, 4667, 123736, 148346, 6093, 6, 112452, 148346, 2442, 14325, 42493, 2200, 874, 54260, 1211, 6, 119859, 69106, 34076, 7682, 3056, 81444, 4667, 133190, 6235, 159696, 56880, 1285, 9721, 14325, 3742, 617, 119718, 29766, 46598, 6, 124470, 710, 171665, 6293, 163139, 7508, 6093, 6, 54260, 2648, 37826, 4838, 6, 148346, 2442, 14325, 23050, 69708, 40920, 4, 151614 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 148346, 6255, 6, 148346, 21106, 127731, 54260, 1211, 103648, 6235, 506, 40096, 2200, 6, 148346, 8580, 82679, 1644, 100863, 6235, 119718, 29766, 1211, 2205, 4838, 110573, 25391, 1211, 6, 54260, 35465, 4, 2205, 204403, 2648, 48775, 905, 24152, 5, 199145, 4269, 54260, 230764, 6, 205416, 8903, 2702, 5, 6, 99611, 5332, 22426, 13159, 4838, 74806, 73381, 13342, 101470, 292, 133190, 3069, 6, 101470, 120202, 23822, 29060, 8903, 75386, 4, 2200, 6, 57277, 39340, 4151, 710, 148346, 6093, 68313, 4151, 6, 133274, 2205, 70845, 3373, 39478, 100863, 6235, 119718, 29766, 1211, 5, 26612, 10339, 142429, 48775, 48253, 7682, 119718, 710, 6255, 6, 148346, 8580, 6235, 119718, 29766, 1211, 4838, 112216, 13982, 40096, 3131, 7682, 4, 151614, 148346, 6255, 132025, 8903, 506, 75230, 148346, 1211, 7201, 23173, 3131, 119718, 23173, 56169, 3069, 119055, 53414, 220273, 230764, 1470, 54260, 1211, 4838, 83182, 185527, 5, 43649, 13845, 124724, 7201, 29766, 4838, 115374, 4, 199145, 151614, 25207, 159696, 2882, 166464, 2200, 6, 76776, 40920, 6, 99611, 3120, 220224, 23269, 2882, 159696, 15388, 4, 42493, 230764, 6, 238144, 148346, 2200, 114955, 4, 133190, 4838, 159696, 4484, 13342, 8903, 148346, 1211, 3496, 26612, 148346, 23173, 29171, 13159, 92500, 6, 148346, 26612, 8300, 39083, 1211, 230764, 48706, 48904, 42180, 2702, 5, 292, 6255, 42542, 42493, 6, 225975, 1211, 4, 6255, 151614, 148346, 26612, 46590, 905, 6235, 8903, 46053, 2200, 6235, 110129, 20260, 12483, 4, 117902, 2442, 16932, 37826, 7746, 6235, 2932, 120467, 1211, 163139, 119055, 59929, 6093, 4, 133190, 8947, 3056, 20033, 42493, 6, 148346, 26612, 104378, 4, 6, 238144, 1644, 3120, 4151, 364, 54260, 2050, 151614, 148346, 168892, 6, 124470, 9719, 2648, 6235, 506, 40096, 10339, 171127, 123073, 6, 148346, 12415, 119718, 4, 36324, 874, 54260, 1211, 6, 238144, 148346, 37826, 42493, 230764, 148346, 2442, 75230, 2882, 5, 182731, 3069, 1751, 133671, 151614, 148346, 6255, 6319, 54260, 5666, 2865, 39083, 42493, 6235, 506, 40096, 4, 6, 238144, 1644, 95455, 6093, 105235, 6, 148346, 13159, 18415, 182731, 151614, 148346, 6255, 6235, 192575, 2882, 9424, 29060, 54260, 67873, 19302, 54260, 23269, 3496, 26612, 148346, 23173, 5666, 54260, 13159, 4, 2200, 95455, 9213, 148346, 6093, 125897, 292, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 56170, 8947, 1211, 2200, 20315, 2050, 1751, 135118, 6093, 56170, 81414, 20260, 12483, 5, 4838, 506, 54260, 2050, 3069, 1751, 133671, 3056, 6319, 54260, 5666, 2865, 39083, 42493, 8903, 148346, 7972, 148346, 1211, 5, 6, 21106, 54260, 1211, 6, 148346, 8580, 6255, 4838, 144532, 195054, 29771, 33225, 3120, 1470, 54260, 1211, 37189, 148346, 6093, 64310, 43649, 64260, 95766, 4151, 221895, 2442, 230764, 6, 205416, 23269, 2702, 2200, 6428, 119718, 46985, 7265, 117902, 2882, 29659, 292, 163139, 165354, 4838, 117902, 13982, 40096, 3131, 7682, 160238, 1211, 6, 68558, 4838, 34076, 218241, 4, 9174, 55687, 32, 6, 179735, 3056, 6235, 159696, 56880, 124470, 9719, 2648, 28415, 6, 75230, 132200, 506, 2200, 2205, 74388, 850, 151614, 148346, 6255, 6235, 105235, 13805, 9213, 148346, 53414, 4484, 137377, 5, 119055, 39083, 2882, 6255, 6235, 159696, 56880, 6, 139449, 4838, 241304, 7265, 6, 148346, 23173, 4113, 107581, 3111, 5666, 5666, 4, 144754, 9213, 148346, 6093, 1644, 54260, 3111, 23405, 4, 36324, 75230, 46590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 94741, 63020, 205026, 6, 88660, 119364, 4, 36324, 75230, 46590, 6, 94741, 63020, 6255, 7201, 23173, 10069, 49008, 4, 2200, 119055, 16870, 186461, 10676, 6, 148346, 23173, 4113, 4944, 171428, 1285, 6, 179735, 4, 119055, 39083, 2882, 6255, 124470, 9719, 2648, 241997, 151614, 148346, 1211, 7369, 44779, 874, 54260, 1211, 67826, 21733, 6, 148346, 2442, 75230, 2882, 2200, 6, 238144, 148346, 2200, 16580, 83182, 874, 196353, 3069, 220224, 1211, 74, 6255, 151614, 148346, 123736, 148346, 6093, 6319, 54260, 1211, 874, 39083, 42493, 6, 148346, 23173, 4113, 4944, 13497, 5, 119718, 120467, 151614, 148346, 6255, 6235, 4852, 39083, 2882, 21776, 4944, 171428, 32, 6255, 151614, 148346, 54745, 1211, 241304, 1211, 6235, 506, 40096, 32, 6255, 151614, 148346, 54745, 1211, 6, 75322, 39083, 7746, 9213, 148346, 6093, 195054, 54260, 98833, 4, 199145, 6255, 151614, 148346, 132025, 139449, 32, 6255, 151614, 148346, 6235, 506, 40096, 192183, 65848, 35596, 1211, 4, 6, 128540, 3056, 220224, 6093, 85858, 8903, 159696, 56880, 5, 8947, 56170, 29659, 54260, 2882, 7746, 4, 36324, 220224, 151614, 148346, 6255, 6235, 8903, 148346, 1211, 4838, 17824, 13159, 53414, 74813, 3149, 163139, 6255, 151614, 148346, 6, 21106, 54260, 1211, 6, 139449, 5, 9213, 119718, 120467, 32, 119055, 10705, 235466, 18225, 3069, 304, 8659, 8300, 39083, 1211, 32, 65146, 18225, 1751, 16932, 4944, 12483, 4, 163139, 35189, 4838, 85858, 1644, 4, 4838, 3523, 54260, 4113, 9934, 93704, 174121, 48253, 65482, 45495, 24621, 4, 6, 119132, 81444, 2200, 657, 174121, 6428, 99766, 292, 620, 52480, 2865, 59094, 4, 29434, 54260, 7746, 38, 364, 120467, 4852, 18167, 95455, 620, 52480, 2865, 59094, 4838, 874, 39083, 6, 190135, 2200, 6255, 151614, 148346, 42493, 6235, 506, 40096, 3069, 8300, 39083, 1211, 84475, 3069, 6, 128540, 4, 6, 148346, 8580, 6255, 23050, 78651, 6235, 119718, 29766, 1211, 5, 4151, 133933, 905, 134067, 3056, 8903, 148346, 7972, 148346, 1211, 56170, 4838, 210228, 6, 148346, 54260, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 2200, 6255, 151614, 148346, 6235, 101296, 4944, 57277, 162726, 64190, 5, 14856, 37826, 564, 18167, 4838, 46590, 905, 42493, 3523, 54260, 46545, 6235, 2648, 23173, 23741, 4, 119055, 29766, 46598, 4151, 4852, 21106, 171433, 142429, 59929, 13845, 37826, 6235, 192575, 2882, 6, 35596, 59919, 1211, 84475, 4151, 6, 170355, 203749, 3056, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 5, 292, 26612, 4231, 29766, 206105, 2200, 9424, 119718, 48904, 10918, 4484, 98252, 37826, 1470, 54260, 59461, 6235, 101296, 4944, 57277, 88911, 4, 8947, 37826, 6235, 506, 54260, 46053, 137, 2648, 120467, 6, 148346, 21292, 109316, 7544, 69106, 2004, 29434, 710, 49008, 37826, 7369, 8903, 3131, 145161, 77188, 76961, 2442, 1644, 54260, 115374, 4, 163139, 1470, 15907, 192956, 2442, 8248, 40920, 7746, 116618, 20308, 2648, 120467, 6, 148346, 710, 35044, 7544, 69106, 3069, 6, 148346, 26612, 104378, 4, 9424, 119718, 65689, 221895, 37826, 7369, 10676, 117902, 13982, 59929, 3131, 7682, 1470, 75230, 4667, 42493, 56170, 8903, 46053, 5, 163139, 8947, 37826, 6, 71577, 12130, 4, 37826, 7369, 205026, 95766, 1470, 75230, 2932, 6235, 506, 40096, 4, 119055, 29766, 46598, 6255, 151614, 148346, 205026, 6428, 99766, 1211, 120202, 8903, 3131, 22426, 18640, 21295, 36324, 75230, 119718, 710, 2205, 4838 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 145813, 710, 21847, 2200, 6, 148346, 8580, 230764, 10676, 22518, 54260, 148346, 6093, 220224, 6093, 6, 148346, 54260, 4852, 6235, 159696, 56880, 5, 168892, 151614, 148346, 220224, 1211, 88911, 36324, 75230, 84087, 874, 39083, 3523, 109316, 56880, 4, 6, 148346, 48350, 29771, 83182, 2702, 4, 119055, 10705, 8947, 506, 183512, 21295, 711, 4852, 18167, 268, 37640, 66293, 117902, 13982, 40096, 3131, 7682, 4, 36324, 6255, 6235, 20315, 20260, 125523, 182261, 4838, 3373, 4667, 34575, 29771, 33225, 1470, 75230, 2702, 67054, 54260, 29171, 5, 49920, 13342, 4, 6255, 119055, 13845, 8947, 124724, 22753, 183216, 4, 2205, 1470, 54260, 1211, 119718, 6, 172398, 6, 159696, 126934, 364, 53414, 163139, 4838, 3523, 83586, 6, 201237, 2882, 5, 10069, 3523, 83586, 37826, 7746, 4838, 6, 148346, 710, 35044, 1470, 75230, 2702, 8903, 506, 71616, 4, 110573, 10069, 95455, 52059, 6, 39083, 2932, 54260, 1211, 72577, 4, 2200, 37826, 132025, 8903, 506, 75230, 18406, 3069, 22753, 183216, 12, 35189, 117902, 13982, 40096, 3131, 7682, 17190, 148346, 2882, 163139, 4838, 17824, 75230, 101608, 364, 23173, 92500, 9934, 95494, 28726, 159696, 2882, 6, 99611, 6319, 54260, 1211, 182731, 2819, 26612, 4269, 48904, 64213, 166464, 22753, 2648, 2882, 4151, 193042, 87311, 119718, 23173, 4, 6093, 67882, 40920, 16175, 54260, 56170, 4151, 4269, 48904, 89930, 6, 159696, 21295, 152, 13159, 43649, 87442, 29434, 710, 49008, 4838, 17824, 75230, 101608, 21374, 69106, 4, 119718, 710, 36324, 75230, 3069, 112216, 8300, 71577, 12483, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 6093, 55242, 56169, 7746, 230764, 4151, 6428, 90848, 126968, 6, 148346, 2442, 54260, 2882, 4, 171433, 8903, 3131, 22426, 23173, 2882, 7265, 10676, 7508, 133671, 10069, 364, 172398, 112216, 2648, 148346, 29771, 88660, 2050, 4, 1285, 6, 131445, 9424, 79238, 80453, 54260, 2882, 4, 92500, 6, 238144, 4852, 2882, 4151, 6, 159696, 21295, 220224, 23269, 115825, 38249, 6, 24864, 966, 204403, 13982, 93704, 1211, 3069, 6, 101470, 3056, 4838, 17824, 75230, 2702, 21374, 69106, 4, 165592, 93704, 59929, 29060, 3131, 23269, 45495, 24621, 292, 4838, 1751, 54260, 1211, 6, 148346, 710, 35044, 7544, 69106, 106, 35189, 6, 148346, 21106, 4113, 148346, 120467, 230764, 4151, 48706, 48904, 42180, 42493, 230764, 6, 148346, 23173, 2932, 8903, 148346, 2442, 64260, 16667, 7265, 6, 88660, 21338, 213783, 5666, 29766, 95455, 3056, 6, 124470, 9719, 2648, 220224, 1211, 4269, 48904, 26394, 9934, 29766, 2932, 4, 119718, 710, 6, 148346, 92605, 177148, 18225, 4838, 9934, 21106, 171433, 4838, 45521, 28320, 12, 68558, 10676, 42542, 18225, 42493, 193178, 1285, 21374, 69106, 4, 219947, 29771, 6319, 54260, 1211, 9934, 21106, 171433, 4, 7243, 29771, 95455, 6, 148346, 710, 35044, 7544, 69106, 5, 10918, 364, 120467, 7369, 45521, 38054, 4, 21422, 37826, 7369, 42493, 4, 26612, 34076, 218241, 65146, 7369, 151614, 148346, 1211, 152, 26612, 115222, 17017, 4, 4838, 6, 148346, 6093, 29659, 1644, 83066, 2882, 7369, 7265, 4, 92500, 4838, 6, 148346, 54260, 47526, 1285, 3069, 23405, 3069, 1751, 29771, 148346, 1211, 6, 5, 20315, 2050, 132025, 105235, 1644, 6, 94741, 63020, 18225, 1470, 75230, 4667, 3069, 4151, 119166, 7611, 4, 13342, 3496, 71577, 1211, 230764, 30109, 16870, 15907, 4838, 6, 148346, 21292, 109316, 7544, 69106, 5, 148346, 54260, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33718, 21106, 29060, 3056, 7369, 4838, 6, 148346, 65606, 26612, 97816, 1470, 75230, 33225, 220224, 59461, 3069, 22753, 64213, 2819, 149364, 17268, 51723, 4, 117902, 101296, 20315, 4, 4838, 4269, 48904, 26394, 3523, 21106, 183718, 6093, 17645, 4, 92500, 4838, 118473, 1644, 1285, 6, 148346, 29766, 2648, 3069, 41764, 54260, 1211, 4, 92500, 1751, 119718, 23173, 64213, 1285, 364, 29766, 292, 1285, 1751, 119718, 23173, 26394, 21374, 69106, 4, 2648, 120467, 6, 88660, 16803, 6, 21106, 8300, 218710, 4838, 11211, 148346, 3131, 6, 148346, 21292, 109316, 7544, 69106, 5, 95766, 4151, 364, 54260, 2050, 42542, 7369, 42493, 6, 148346, 1644, 54260, 148346, 1211, 4, 5666, 29766, 4838, 144532, 7201, 29766, 1211, 5, 2648, 120467, 6, 238144, 148346, 107776, 7369, 120202, 7265, 6, 148346, 12415, 119718, 22518, 54260, 148346, 1211, 4, 92500, 56170, 28726, 148346, 2882, 6, 148346, 54260, 6, 148346, 21106, 4113, 148346, 120467, 2882, 13159, 1285, 6, 101328, 61621, 5, 119718, 120467, 7369, 56170, 2648, 41595, 7265, 116618, 20308, 4, 7265, 21374, 69106, 292, 148346, 54260, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 6, 148346, 1644, 54260, 148346, 2882, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 2648, 120467, 6, 238144, 148346, 22753, 56169, 2205, 38087, 9134, 2205, 131397, 76776, 2702, 4, 92500, 56170, 39293, 56169, 230764, 1751, 148346, 609, 95455, 6, 148346, 60071, 2882, 2882, 31212, 145813, 48904, 63188, 74, 304, 10991, 148346, 54260, 70845, 165513, 54260, 2702, 117902, 2442, 16932, 4838, 4269, 48904, 26394, 10339, 59929, 4, 92500, 10339, 25046, 10918, 4484, 6, 148346, 905, 21338, 1751, 75322, 22426, 48904, 63188, 2819, 76776, 4, 3056, 8947, 6, 99611, 4838, 17824, 75230, 101608, 21374, 69106, 4, 165592, 75230, 1470, 75230, 2702, 13342, 148346, 25207, 183216, 95455, 6, 148346, 21292, 109316, 7544, 69106, 705, 2808, 75230, 2702, 13342, 148346, 25207, 183216, 6, 99611, 230764, 6, 238144, 148346, 2200, 114955, 4, 7511, 2882, 230764, 6319, 54260, 1211, 123736, 25207, 24621, 97121, 448, 74, 21106, 54260, 1211, 3069, 22753, 148346, 1211, 2205, 4151, 129165, 27105, 4, 6, 148346, 165592, 710, 83182, 4, 5666, 29766, 6, 75322, 39083, 4838, 506, 54260, 2050, 3069, 6, 104378, 230764, 66970, 104855, 448, 5, 68313, 95455, 6, 99611, 4838, 3523, 23173, 40697, 21374, 69106, 4, 165592, 75230, 1470, 75230, 2702, 13342, 148346, 25207, 183216, 95455, 6, 148346, 21292, 109316, 7544, 69106, 705, 2808, 75230, 2702, 13342, 148346, 25207, 183216, 230764, 160238, 1211, 230764, 6428, 90848, 126968, 2702, 4, 2808, 75230, 6293, 6319, 119273, 44779, 21422, 119859, 61621, 4, 112216, 22426, 9221, 120467, 1211, 4, 2808, 75230, 2702, 13342, 148346, 25207, 183216, 230764, 41764, 159993, 4, 230764, 116486, 126968, 2702, 4, 2808, 75230, 6293, 153, 5, 6255, 119055, 39083, 2882, 20033, 4269, 53414, 95455, 874, 75230, 1644, 56170, 31249, 120467, 1211, 711, 5666, 29766, 657, 29771, 62808, 7746, 2190, 74813, 53414, 3069, 220224, 1211, 21374, 69106, 4, 119718, 710, 36324, 75230, 7369, 6, 148346, 92605, 177148, 95455, 6, 148346, 710, 35044, 7544, 69106, 5, 26612, 3373, 226112, 17645, 142170, 3056, 6, 148346, 54260, 70845, 4838, 6235, 65939, 2882, 4, 165592, 7369, 37826, 133190, 6235, 8300, 54260, 4944, 13497, 230764, 4838, 6, 97634, 119718, 1644, 74, 6093, 3373, 226112 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 710, 13159, 4838, 6, 148346, 29060, 506, 75230, 4852, 4, 4838, 657, 165592, 23173, 13159, 4, 26612, 46590, 905, 10676, 6, 29631, 46598, 3120, 6, 148346, 17160, 292, 68558, 43649, 54260, 59461, 4, 6, 68558, 119055, 71577, 23269, 4, 6, 120467, 95455, 3056, 4838, 21374, 69106, 711, 92500, 6, 148346, 92605, 177148, 4151, 7201, 23173, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 506, 54260, 148346, 2882, 4151, 71612, 40096, 166198, 13845, 6, 68558, 3069, 22518, 54260, 12483, 152, 13159, 37826, 7746, 6235, 88660, 13497, 3131, 29060, 4151, 6, 49268, 218241, 4, 192575, 4151, 6, 170355, 203749, 142429, 174121, 1644, 6, 120467, 119718, 710, 13159, 95494, 710, 12483, 4, 92500, 4151, 117902, 13982, 40096, 3131, 7682, 4838, 177282, 75230, 23741, 159308, 34076, 218241, 5, 6093, 657, 75230, 23741, 163139, 35189, 230764, 4838, 6, 205416, 2932, 4, 67882, 40920, 163139, 35189, 4838, 119166, 7611, 4, 92500, 6, 148346, 92605, 177148, 4838, 9934, 93704, 174121, 48253, 23269, 4, 4838, 40026, 3131, 6, 148346, 710, 35044, 7544, 69106, 5, 304, 9323, 13159, 7508, 75230, 29659, 70845, 2205, 1285, 1470, 75230, 26, 61621, 3120, 4838, 34076, 218241, 95455, 23050, 21733, 24295, 5666, 5, 2702, 54260, 119055, 12483, 7369, 620, 29771, 17748, 4, 3373, 54260, 119055, 12483, 7369, 119055, 26612, 40920, 5, 22426, 90848, 36326, 142170, 4, 117902, 7511, 4852, 36326, 142170, 4, 657, 41595, 70845, 230764, 4151, 9424, 23174, 4, 22426, 90848, 4944, 57277, 119718, 39340, 4, 116486, 148346, 26612, 119718, 39340, 82563, 63532, 7746, 70845, 6, 148346, 54260, 76776, 40920, 5, 26612, 7213, 171665, 14303, 71180, 148346, 6093, 1644, 67882, 40920, 70845, 119055, 39083, 119718, 1644, 1285, 21374, 69106, 4, 35189, 3056, 230764, 117902, 2882, 29659, 8903, 21295, 206105, 6319, 137377, 7682, 13159, 7544, 69106, 5, 13159, 107776, 1470, 54260, 1211, 123736, 25207, 212915, 4, 95455, 6, 148346, 6093, 55546, 23050, 22426, 710, 56169, 4, 95766, 4838, 20632, 148346, 6093, 64310, 43649, 40096, 3069, 160238, 1211, 152, 144754, 4838, 657, 16870, 53414, 6319, 65689, 4, 1751, 75230, 1211, 120202, 23269, 7511, 56169, 4, 92500, 7265, 4838, 6, 88660, 148346, 12415, 34709, 3120, 6, 21106, 18415, 6, 101328, 61621, 5, 6093, 235466, 120202, 48706, 48904, 42180, 4, 95455, 3056, 6319, 54260, 1211, 21374, 69106, 4, 92500, 37826, 6, 99611, 2205, 115222, 3131, 65482, 4838, 6319, 137377, 125897, 7544, 69106, 5, 6093, 6, 26394, 22426, 93449, 4838, 133933, 905, 134067, 4, 99509, 6, 189098, 67826, 119718, 1644, 4, 3131, 119718, 23173, 7611, 2200, 7508, 75230, 2882, 2200, 6, 148346, 1644, 29771, 2200, 17824, 8580, 2819, 26394, 1644, 54260, 98833, 1470, 75230, 33225, 6, 147502, 292, 16175, 54260, 4838, 41764, 12415, 119718, 1644, 4, 92500, 4838, 6, 109636, 21733, 6, 59929, 89184, 78683, 208182, 78104, 146887, 5, 105515, 4838, 63259, 13159, 7265, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 7265, 6, 121740, 4, 7265, 21374, 69106, 4, 92500, 657, 54260, 29060, 6, 148346, 54260, 11265, 4151, 238144, 1644, 206105, 51453, 1644, 7544, 69106, 5, 6093, 6, 238144, 4852, 2882, 11265, 220224, 1211, 6, 38596, 40096, 15096, 39340, 4, 22753, 3056, 9213, 148346, 6093, 2932, 21660, 75230, 15388, 7265, 33718, 4667, 92500, 37826, 29434, 54260, 6, 148346, 71804 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48253, 28726, 101608, 5, 2808, 24295, 238144, 29171, 292, 6, 113889, 4, 22639, 238144, 29171, 657, 176727, 4838, 113044, 292, 113889, 4, 6, 94741, 63020, 18225, 70845, 6, 148346, 26612, 119718, 29766, 171428, 6, 148346, 13159, 6093, 705, 6093, 37826, 56170, 1644, 75230, 61621, 1285, 14764, 35044, 292, 81444, 45223, 23741, 6319, 54260, 1211, 21374, 69106, 4, 10069, 6, 148346, 21106, 4113, 148346, 120467, 18415, 65146, 4151, 238144, 1644, 6235, 148346, 1211, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 26612, 148346, 710, 7369, 37826, 7746, 133190, 6, 23173, 54260, 23405, 43178, 23173, 2882, 4, 119273, 7369, 1751, 75230, 1211, 230764, 6, 148346, 29766, 2932, 2819, 6093, 22753, 56169, 206105, 119055, 29771, 12984, 2200, 119055, 23173, 2882, 4, 148346, 15533, 8947, 6, 137218, 159696, 2882, 7746, 4838, 6, 205416, 2932, 5, 64260, 81444, 657, 75230, 23741, 7369, 2200, 67882, 40920, 1285, 21374, 69106, 4, 4944, 71577, 2882, 120202, 23822, 29060, 8903, 21295, 4838, 6, 148346, 21292, 109316, 7544, 69106, 5, 62635, 26612, 117902, 2882, 29659, 4, 4838, 16175, 92605, 36419, 4, 6, 78683, 30473, 239162, 119055, 21106, 2648, 4, 21106, 7611, 3056, 56170, 70845, 4838, 3373, 42695, 506, 4, 64260, 67882, 40920, 7369, 6319, 21106, 17645, 10676, 874, 99438, 6, 148346, 21106, 2648, 5, 21106, 4113, 151614, 148346, 1211, 56170, 70845, 874, 151461, 5, 26612, 148346, 710, 7369, 56170, 29659, 54260, 2882, 133190, 72577, 220224, 1211, 21374, 69106, 4, 506, 64260, 7369, 6319, 54260, 1211, 19024, 29400, 6, 99611, 159308, 6, 148346, 21292, 109316, 7544, 69106, 5, 2648, 120467, 88911, 1644, 3056, 20033, 72577, 2205, 4151, 6, 113889, 4852, 6, 23173, 54260, 1211, 5, 6255, 6, 148346, 8580, 4838, 46590, 41731, 13159, 18895, 148346, 2442, 6235, 119718, 29766, 1211, 4838, 24377, 22492, 4, 6, 238144, 1644, 8947, 37826, 230764, 20033, 220224, 6093, 6235, 22426, 59929, 2882, 4, 3496, 64260, 3131, 8947, 42542, 220224, 1211, 4, 36324, 7369, 37826, 205026, 220273, 7511, 2882, 2205, 22753, 49008, 8903, 506, 40096, 5, 1285, 199145, 22518, 54260, 148346, 1211, 151614, 148346, 1211, 1751, 75230, 1211, 215031, 34076, 7682, 4, 36324, 119055, 6093, 8947, 10184, 21295, 4852, 18167, 6235, 226112, 33225, 4, 3056, 230764, 220224, 1751, 57277, 24152, 6, 148346, 54260, 4852, 4, 123736, 17748, 2865, 39083, 220273, 2190, 112304, 34533, 5, 5666, 29766, 37640, 16747, 119273, 159696, 15388, 3056, 6, 109600, 95455, 88911, 1644, 3069, 7511, 7611, 6, 130991, 5, 3120, 6, 135542, 21660, 18415, 119055, 6093, 16932, 151614, 148346, 6255, 6235, 44478, 13497, 4838, 116618, 43590, 4, 220273, 6319, 54260, 1211, 117902, 13982, 93704, 7511, 2882, 3069, 6, 101470, 4, 2200, 160238, 2882, 4838, 117902, 13982, 40096, 3131, 7682, 3069, 220224, 1211, 5, 95455, 7544, 35044, 3056, 62808, 6235, 61541, 1211, 4, 364, 54260, 3111, 3069, 4269, 54260, 1211, 230764, 6, 205416, 23269, 2702, 133190, 19302, 29771, 46685, 29659, 48706, 48775, 3131, 12483, 4, 2200, 4151, 7201, 23173, 6, 101470, 120202, 23822, 29060, 8903, 21295, 5, 95455, 3056, 42493, 6319, 54260, 1211, 31249, 91595, 6093, 170513, 73136, 124470, 1211, 6, 94741, 40920, 7746, 4, 14856, 657, 54260, 13497, 6, 99611, 6, 23173, 54260, 1211, 2200, 874, 65482, 63532, 6, 23173, 75230, 2702, 711, 6255, 151614 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 148346, 205026, 4838, 657, 48904, 8903, 9424, 54260, 2882, 36324, 75230, 6235, 7916, 33716, 4, 6, 148346, 15533, 6255, 506, 29771, 148346, 9424, 119718, 65689, 1285, 117902, 13982, 40096, 3131, 7682, 13159, 8248, 14325, 6235, 159696, 56880, 73784, 6, 113889, 51723, 120202, 23822, 29060, 5, 5666, 29766, 45223, 23741, 5332, 22426, 13159, 41545, 24001, 14540, 4, 36324, 8947, 3056, 6, 148346, 26612, 3131, 77188, 1470, 54260, 1211, 29766, 4113, 212915, 3069, 220224, 1211, 705, 1285, 48706, 48904, 42180, 2702, 4, 1285, 6319, 29766, 46053, 2200, 95455, 21847, 54260, 12984, 21923, 1285, 7972, 55546, 292, 6255, 151614, 148346, 205026, 4838, 144532, 23269, 119718, 21106, 61397, 2702, 2205, 35189, 129165, 27105, 36324, 75230, 6, 71804, 23405, 4, 78278, 6255, 151614, 148346, 6, 148346, 26612, 104378, 4838, 45521, 44478, 4, 199145, 24621, 22444, 23741, 4838, 7544, 10705, 36419, 6, 113889, 4852, 4, 2200, 6, 148346, 8580, 4838, 506, 54260, 2050, 6235, 7201, 29766, 1211, 73784, 6, 238144, 148346, 74, 81444, 148346, 8580, 6255, 41764, 134193, 56170, 364, 17310, 6093, 74806, 205416, 148346, 1211, 2200, 14856, 37826, 20033, 6235, 101296, 4944, 57277, 6, 182078, 506, 230764, 6, 124470, 39248, 710, 30315, 5, 95455, 9213, 148346, 6093, 125897, 6, 238144, 126934, 1751, 75230, 1211, 6, 21106, 54260, 1211, 4, 18133, 506, 120467, 2882, 81444, 4667, 20033, 874, 54260, 1211, 198754, 6235, 80264, 5, 62808, 6, 94741, 40920, 7746, 4, 6255, 6, 148346, 8580, 1751, 75230, 1211, 874, 54260, 16667, 120202, 130991, 2200, 119055, 13845, 1751, 75230, 1211, 46685, 42493, 82679, 1644, 100863, 119055, 53414, 5, 6255, 151614, 148346, 205026, 4, 34076, 75230, 148346, 20033, 4, 117902, 13982, 59929, 3131, 7682, 238144, 4852, 132025, 8903, 11556, 153222, 2882, 4, 36324, 4838, 46590, 905, 17741, 148346, 36609, 506, 228605, 37826, 18225, 20033, 1470, 75230, 4667, 3131, 75230, 1211, 74806, 135118, 2882, 5, 18133, 55242, 16803, 81444, 4667, 6, 21106, 54260, 1211, 4, 36324, 1470, 54260, 35189, 18133, 151614, 16803, 6, 146598, 2357, 418, 2932, 64260, 17410, 200117, 93497, 6, 159696, 24152, 4, 6, 148346, 141943, 1995, 40893, 109636, 710, 13159, 4838, 117902, 2442, 6, 110129, 20260, 6, 148346, 90848, 5666, 33225, 3069, 6, 80264, 4, 6, 148346, 8580, 6255, 1751, 75230, 1211, 6, 23173, 75230, 2702, 37640, 16667, 100378, 4667, 86270, 2702, 364, 35596, 2200, 6, 148346, 8580, 1751, 75230, 1211, 81444, 5, 44855, 13515, 124470, 2050, 37826, 18225, 20033, 3131, 75230, 1211, 76961, 2702, 7038, 30946, 6235, 159696, 56880, 2200, 6255, 119055, 13845, 6, 148346, 21106, 2648, 220224, 1211, 2205, 113524, 16870, 1211, 5, 168892, 119055, 39083, 2882, 1751, 75230, 1211, 220224, 6093, 4269, 53414, 6428, 99766, 6235, 159696, 56880, 4, 6, 238144, 1644, 6255, 6, 148346, 8580, 74806, 205416, 148346, 1211, 220224, 6093, 364, 17310, 6093, 7682, 4, 6428, 99766, 119055, 13845, 6255, 151614, 148346, 1211, 3069, 8947, 1211, 2200, 3069, 65848, 20260, 12483, 5, 133190, 8947, 6319, 68558, 81444, 1211, 220224, 1211, 4, 36324, 6255, 151614, 148346, 220273, 4838, 186421, 4, 23165, 3056, 2648, 120467, 133190, 133190, 1470, 75230, 4667, 1470, 54260, 1211, 116618, 43590, 37640, 5666, 7201, 41545, 4667, 86270, 4, 205026, 19302, 29771, 46685, 3131, 57277, 506, 54260, 2050, 3069, 6, 212484, 1211, 2200 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4151, 113889, 4667, 205026, 163139, 35189, 4838, 3496, 71577, 3069, 6, 80264, 2200, 5332, 22426, 13159, 95766, 4838, 3523, 54260, 46598, 6, 100863, 3111, 1644, 6, 23173, 54260, 57619, 140354, 38249, 292, 1470, 75230, 148346, 95455, 3056, 36324, 75230, 4, 6, 225975, 6255, 79761, 3069, 4, 7746, 125523, 6, 137218, 159696, 1211, 3069, 6428, 54260, 23269, 1470, 54260, 29171, 44779, 125523, 4838, 3373, 4667, 6, 101328, 61621, 2200, 4852, 54260, 3069, 4151, 8300, 54260, 67873, 4, 199145, 119055, 29060, 6, 238144, 101608, 7265, 20033, 160238, 2932, 54260, 1211, 5, 657, 14236, 14236, 31467, 506, 506, 64260, 1285, 6, 104038, 1470, 54260, 1211, 6, 37016, 4, 2200, 18133, 4269, 54260, 4838, 506, 54260, 2050, 2200, 22518, 54260, 148346, 76961, 96743, 75230, 6293, 36324, 75230, 163139, 6255, 151614, 148346, 124724, 4151, 8300, 54260, 21295, 4, 110573, 10069, 76961, 115374, 170479, 1211, 13159, 17190, 56880, 4, 6, 97634, 46685, 119055, 29060, 7746, 37922, 21660, 6093, 4838, 37640, 49268, 6, 23173, 75230, 2702, 101470, 4, 6, 97634, 46685, 159696, 2882, 7746, 132025, 3131, 22426, 710, 21847, 12483, 4838, 118439, 1644, 4, 199145, 67882, 40920, 10676, 25093, 31467, 8580, 6, 110317, 13929, 4, 4838, 3149, 56880, 4, 199145, 67882, 40920, 3120, 4838, 36845, 178303, 4838, 114502, 4, 4838, 6, 148346, 13845, 57277, 13805, 4113, 4, 119718, 120467, 6, 148346, 23173, 26612, 148346, 4113, 159696, 2882, 6, 29766, 52480, 13845, 54260, 2882, 4, 4838, 46050, 46545, 6093, 4, 4838, 81444, 20911, 29766, 4, 4838, 6, 148346, 13845, 54574, 119718, 43590, 4, 4838, 117902, 13982, 40096, 3131, 7682, 4, 199145, 6, 215629, 7746, 620, 91595, 230764, 4, 6, 97634, 46685, 6, 159696, 67873, 4852, 54260, 7746, 4838, 144532, 98055, 1211, 4, 36324, 220224, 3523, 54260, 12483, 2205, 4838, 620, 91595, 1211, 6, 159696, 2932, 2200, 6, 159696, 67873, 7746, 148346, 13159, 53414, 292, 6, 159696, 67873, 20033, 6, 148346, 54260, 20315, 4838, 6, 68566, 36419, 32532, 119718, 506, 151614, 148346, 1211, 2200, 4151, 157511, 159696, 2882, 194706, 6, 148346, 54260, 29659, 54260, 1211, 4, 124724, 230764, 4151, 6, 159696, 21295, 4, 2200, 20033, 230764, 4231, 114436, 159696, 75386, 4, 2200, 230764, 4151, 7369, 2648, 6, 159696, 67873, 1470, 75230, 4667, 6, 238144, 29171, 6093, 220224, 1211, 3523, 122868, 86458, 5, 292, 2357, 304, 8300, 119718, 65689, 4269, 64260, 1644, 29771, 148346, 93497, 3944, 35189, 6235, 7916, 13497, 7746, 1470, 75230, 4667, 4838, 88911, 4, 6235, 13982, 905, 20911, 95766, 119055, 23173, 36326, 159696, 2442, 137, 54260, 2648, 40697, 1211, 6319, 21106, 141943, 23173, 2004, 159308, 6, 113889, 51723, 4838, 137, 210423, 7972, 2648, 2004, 13159, 37826, 6, 99611, 241997, 6, 23173, 54260, 5666, 104378, 2205, 10676, 32887, 152194, 5, 26612, 6, 210423, 7972, 2648, 5, 21847, 54260, 148346, 2882, 20033, 3496, 26, 28726, 148346, 1211, 4, 165592, 95455, 17190, 148346, 1211, 21066, 15907, 23050, 3131, 119718, 41595, 2200, 3523, 18167, 4838, 159696, 4484, 74, 30473, 148346, 21660, 7682, 4231, 23173, 119718, 120467, 21923, 3523, 23173, 4, 26612, 4944, 10918, 4484, 151614, 148346, 1211, 1470, 75230, 4667, 6, 47351, 6, 37016, 12, 92500, 14856, 235466, 6, 99611, 69355, 4151, 6, 159696, 75386, 7265, 7511, 2882, 6319, 54260, 1211, 110573, 61722 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 42493, 6319, 54260, 1211, 6235, 75386, 5, 4852, 18167, 6, 148346, 92605, 44478, 1211, 4, 148346, 13159, 6093, 119055, 53414, 68313, 95455, 6, 148346, 13159, 36419, 230764, 4151, 6, 159696, 21295, 5, 101296, 40920, 42493, 4, 6, 148346, 12415, 35189, 4, 4484, 54260, 1211, 6235, 12415, 35189, 4, 21066, 21292, 42493, 4, 657, 75230, 23741, 42493, 4, 6, 101328, 98833, 42493, 125523, 10676, 34076, 7682, 74, 119718, 120467, 16175, 75230, 2932, 8947, 54745, 1211, 1470, 54260, 4667, 4, 165592, 14856, 3056, 1751, 75230, 1211, 220273, 7508, 54260, 4667, 4, 192575, 18225, 6, 212484, 1211, 199145, 14856, 37826, 98252, 74, 238144, 1644, 18225, 23050, 36258, 42493, 7265, 148346, 2884, 4151, 6, 159696, 75386, 7265, 1470, 165592, 155, 119718, 5, 92500, 18133, 4, 199145, 17190, 164863, 16803, 4852, 54260, 6093, 7369, 16667, 2882, 4, 148346, 34533, 1751, 75230, 1211, 6, 57277, 39340, 1470, 75230, 111137, 21733, 77188, 4, 4852, 39083, 126934, 163139, 46053, 4, 165592, 6, 68558, 6235, 119718, 21292, 1211, 506, 64260, 1285, 9174, 66362, 1470, 75230, 4667, 6319, 54260, 1211, 119055, 77188, 4, 238144, 1644, 14856, 235466, 6, 99611, 7265, 4, 69355, 4151, 6, 159696, 75386, 7265, 1470, 165592, 155, 119718, 5, 119718, 120467, 107776, 6, 23173, 75230, 2702, 4, 165592, 14856, 17190, 189583, 1470, 75230, 2702, 81860, 448, 4, 6, 148346, 710, 104238, 4, 9174, 97728, 76961, 2442, 7972, 92500, 9424, 119718, 65689, 657, 54260, 2882, 95766, 4838, 58571, 89930, 9424, 54260, 2882, 101296, 40920, 18225, 4838, 6235, 46590, 35189, 4, 4838, 6235, 25391, 54260, 32, 165592, 14856, 235466, 42493, 69355, 4151, 6, 159696, 21295, 7265, 7511, 2882, 6319, 54260, 1211, 110573, 61722, 4, 42493, 6319, 54260, 1211, 6235, 75386, 5, 4852, 18167, 6, 148346, 92605, 44478, 1211, 4, 148346, 13159, 6093, 119055, 53414, 68313, 95455, 6, 148346, 13159, 18415, 230764, 4151, 6, 159696, 21295, 5, 37271, 35189, 119055, 23173, 83957, 159696, 2442, 6, 54260, 2648, 152185, 78683, 50853, 16747, 29766, 2004, 6, 124470, 164863, 155, 2808, 5, 159696, 15388, 76961, 6428, 40096, 13159, 3120, 1285, 3944, 35189, 292, 55242, 6, 148346, 5, 106, 1470, 5, 6, 148346, 5, 4269, 120467, 1644, 29771, 148346, 6093, 2200, 220224, 1211, 5332, 204403, 107581, 4, 9934, 155, 710, 80016, 2451, 73073, 4, 136786, 292, 138, 15620, 2648, 120467, 88911, 137, 10069, 6, 119038, 506, 6428, 54260, 48253, 1211, 155, 119055, 77188, 6, 148346, 54260, 4269, 120467, 1644, 29771, 148346, 53414, 4838, 117902, 70598, 39083, 132025, 8903, 225164, 137, 65442, 17188, 6428, 54260, 48253, 2909, 55242, 10676, 67882, 16932, 710, 21106, 4, 199145, 4269, 120467, 1644, 29771, 148346, 6093, 6, 148346, 189623, 98833, 874, 171665, 15662, 10676, 4, 6, 148346, 5, 106, 4, 9934, 5, 138, 20773, 3120, 10676, 81444, 4852, 133671, 88911, 37826, 113889, 21338, 29771, 148346, 6093, 6, 172060, 148346, 105330, 54196, 6, 148346, 1644, 75230, 4852, 4838, 10339, 48775, 2932, 96302, 5, 2357, 910, 16870, 120467, 88911, 137, 2648, 120467, 6, 148346, 21292, 109316, 7544, 69106, 155, 37826, 7369, 74806, 12415, 148346, 1211, 119055, 29766, 3131, 54260, 5666, 44779, 2205, 1285, 1112, 75290, 6, 101328, 61621, 4, 6, 47351, 118076, 4, 543, 4633, 2451, 1819, 9271, 4, 6, 238144, 1644, 2205 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37271, 20315, 2050, 34076, 39478, 155, 22518, 54260, 148346, 2882, 7369, 12, 137, 7201, 23173, 4838, 4231, 29766, 206105, 2200, 9424, 119718, 48904, 10918, 4484, 72631, 7682, 37826, 1470, 54260, 59461, 6235, 101296, 40920, 4838, 88911, 137, 2648, 120467, 6, 148346, 21292, 109316, 7544, 69106, 2004, 2200, 36324, 75230, 119718, 710, 4151, 184639, 120202, 2648, 55049, 3120, 137, 21847, 3111, 1644, 155, 3056, 6235, 159696, 1211, 2205, 137, 50931, 2865, 223762, 155, 159983, 2451, 29659, 710, 63532, 8947, 28415, 238144, 29171, 6093, 7265, 4151, 6428, 174121, 5, 159696, 15388, 137, 20315, 2050, 6428, 87442, 31212, 155, 2451, 39293, 6, 148346, 5, 106, 4, 9934, 155, 4852, 12, 496, 966, 2451, 119527, 5, 81444, 3056, 117578, 13159, 84577, 3069, 6, 148346, 25207, 183216, 10676, 123736, 215206, 24295, 21106, 3120, 10676, 4838, 113889, 16667, 6, 159696, 15388, 10676, 37271, 104038, 2648, 87442, 31212, 2004, 137, 506, 148346, 156270, 34482, 155, 6, 124470, 2442, 7972, 4, 157313, 4, 6, 148346, 710, 10813, 116, 4, 3523, 12, 37271, 506, 76632, 874, 210326, 10213, 54574, 364, 99915, 448, 1751, 81860, 137, 35189, 6428, 87442, 31212, 155, 84475, 37271, 8300, 238144, 2882, 33414, 21527, 2205, 1470, 54260, 1211, 112389, 2882, 155, 564, 106672, 54678, 609, 76526, 30741, 120972, 4, 9915, 2648, 17748, 1982, 119718, 23173, 83957, 5332, 155, 710, 58826, 39293, 6293, 119055, 6093, 17160, 54260, 208182, 2808, 32573, 64991, 3523, 5, 6428, 5, 22753, 2702, 75578, 2932, 4, 3944, 161618, 4, 4892, 179038, 905, 2339, 5855, 75179, 20560, 28938, 4, 66495, 23917, 133632, 6072, 169591, 1644, 10813, 191774, 710, 1470, 29025, 3111, 364, 99915, 448, 113534, 448, 1054, 29771, 158894, 3944, 8009, 448, 7183, 20308, 27764, 2808, 25491, 34537, 3131, 23741, 8947, 17288, 97584, 6, 166617, 178116, 6, 137351, 81179, 155, 506, 211055, 6, 76526, 54698, 895, 62812, 710, 25381, 2050, 2568, 51437, 15750, 66293, 4112, 10705, 4, 4074, 5332, 119718, 1211, 212067, 2712, 4, 2376, 15750, 16629, 905, 101328, 101080, 2909, 37271, 35189, 3373, 54260, 2050, 2909, 37271, 35189, 3373, 54260, 2050, 155, 37826, 6235, 506, 40096, 9424, 238144, 105884, 92605, 42180, 2702, 12, 10676, 7369, 29659, 1211, 101296, 68380, 84316, 22426, 2882, 37826, 6, 148346, 54260, 4269, 64260, 1644, 29771, 148346, 53414, 1470, 54260, 59461, 1470, 75230, 2702, 8903, 76776, 33716, 2200, 7369, 68313, 56170, 1644, 29766, 1211, 6235, 119718, 29766, 1211, 74, 10676, 9424, 238144, 28320, 67882, 68380, 84316, 22426, 2882, 37826, 4269, 64260, 1644, 29771, 148346, 6093, 2808, 75230, 2702, 8903, 148346, 13159, 77188, 2200, 120202, 8903, 13982, 905, 20911, 194, 4838, 220224, 6093, 117578, 13159, 84577, 1211, 67882, 16932, 710, 21106, 1639, 20033, 6, 234221, 56170, 3496, 23173, 92605, 101608, 21292, 2702, 13456, 3069, 6, 199511, 1285, 10339, 39083, 2932, 213952, 4113, 21776, 26394, 54561, 17645, 230764, 137, 20315, 2050, 3373, 54260, 2050, 155, 3120, 4269, 120467, 1644, 29771, 148346, 93497, 19550, 27909, 1470, 5, 145115, 6093, 148346, 75230, 2050, 4, 1470, 54260, 23269, 3120, 10069, 200795, 21776, 26394, 54561, 710, 13159, 2205, 4151, 6, 54260, 2648, 152185, 3944, 16932, 40096, 14303, 57588, 4, 119055, 13845, 107581, 3056, 6235, 13982, 905, 20911, 2205, 137, 50931, 874, 223762, 611, 11540, 4, 20632, 2865 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26, 24645, 9934, 26, 43137, 4, 1470, 155, 710, 137, 9183, 2648, 40697, 12023, 17160, 101328, 23847, 110856, 4113, 155, 37271, 35189, 73095, 448, 3120, 6, 148222, 17741, 850, 155, 15, 13342, 178766, 181158, 75230, 53414, 4, 3056, 564, 54260, 2808, 194706, 22639, 101608, 4151, 506, 104274, 45521, 93509, 119718, 710, 16747, 12483, 6235, 119718, 29766, 12483, 95455, 12023, 4944, 13845, 4, 199145, 4151, 134607, 37826, 194706, 6235, 8903, 1982, 12483, 4, 4151, 88680, 63864, 51437, 54260, 1644, 12483, 20033, 6, 156325, 6428, 13159, 1470, 54260, 16747, 55049, 4, 199145, 8947, 37826, 230764, 194706, 23050, 2865, 115536, 564, 54260, 2050, 17190, 104149, 2190, 5666, 142430, 159696, 15388, 10676, 4, 163139, 1470, 75230, 4667, 6, 159696, 15388, 10676, 88911, 137, 2648, 120467, 167048, 54260, 17017, 159308, 6319, 71577, 13845, 75230, 2004, 199145, 3056, 657, 72507, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 15, 39293, 6, 159696, 15388, 4151, 3523, 77928, 40377, 73381, 2884, 10676, 88911, 137, 2648, 120467, 167048, 54260, 17017, 159308, 6319, 71577, 13845, 29260, 155, 6, 148346, 5, 106, 4, 9934, 5, 496, 910, 2451, 363, 112834, 8903, 7916, 49008, 20033, 2205, 10676, 4838, 113889, 16667, 12, 137, 50931, 874, 223762, 2004, 184007, 4, 20632, 2865, 5, 201, 4, 9934, 5, 15554, 37271, 32829, 12041, 155, 2050, 7501, 874, 210326, 5950, 28726, 43057, 131445, 448, 4, 6150, 119055, 12483, 8947, 119055, 29060, 22753, 2808, 63593, 710, 89930, 6, 199511, 3069, 29434, 7682, 12483, 6, 29060, 119718, 46646, 6, 156325, 874, 54260, 23269, 6, 54260, 2648, 40697, 119055, 6093, 39340, 8903, 25391, 16011, 12483, 22639, 26, 2050, 6, 163177, 48340, 68558, 4, 170479, 1644, 12483, 220224, 2808, 42493, 29434, 7682, 12483, 3373, 54260, 20315, 1211, 4231, 114436, 159696, 2882, 151614, 1982, 12483, 3069, 6, 238144, 104149, 110573, 62763, 48099, 121407, 6, 156325, 20033, 7265, 874, 54260, 1211, 77756, 31529, 5, 6255, 88660, 91163, 12483, 54745, 1211, 6, 92178, 13845, 5, 2451, 20961, 4852, 5, 194, 95455, 3056, 1470, 97995, 75230, 2702, 6235, 10069, 40920, 15, 2808, 64890, 69106, 12023, 4944, 13845, 16, 3120, 364, 26, 1470, 5, 1982, 5, 3523, 120467, 35044, 29771, 75578, 4, 6235, 13982, 116367, 2205, 10676, 6, 101328, 46244, 2205, 22753, 2702, 29771, 62808, 5, 81444, 20033, 2648, 74806, 710, 12666, 93497, 4, 75230, 2808, 6, 148222, 17741, 850, 6, 104378, 7746, 3069, 22492, 75230, 6293, 2205, 119055, 21106, 2648, 6, 159696, 54574, 12483, 1470, 6, 145146, 4, 1470, 15907, 149010, 17741, 506, 3131, 21087, 22426, 2882, 7746, 3069, 10676, 6, 20616, 25207, 22492, 63532, 4, 105884, 2882, 7746, 1470, 54260, 1211, 5950, 1644, 54260, 1211, 22639, 6, 238144, 1644, 10676, 44917, 57619, 12483, 111215, 1470, 54260, 50856, 16870, 12483, 4, 6150, 133190, 22753, 2808, 3056, 45521, 506, 24295, 4, 22753, 2808, 3056, 4151, 7544, 15662, 2702, 4, 22753, 2808, 6, 59919, 10069, 172398, 8903, 159696, 506, 21295, 3069, 220224, 1211, 5, 95455, 3056, 1470, 3373, 26632, 9221, 40697, 160238, 105235, 1644, 17310, 4, 2205, 119055, 13845, 104238, 8947, 6319, 43178, 49008, 4852, 18167, 132025, 123083, 21847, 12483, 10184, 13845, 217284, 40697, 66616, 81925, 4, 163139, 2808, 1470, 15907, 149010, 2442, 6, 219928, 15907, 7746, 3069, 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 ]
[ 16932, 8580, 67223, 14004, 4, 6, 100863, 46646, 23269, 4, 6, 90848, 23093, 28714, 49209, 4, 48706, 23173, 120467, 96256, 228830, 87680, 217284, 40697, 5816, 83811, 26, 1211, 4, 148932, 874, 41595, 4, 6319, 54260, 1211, 17288, 104238, 2702, 2190, 5666, 564, 13159, 2702, 93497, 2205, 15622, 111398, 2190, 5666, 2205, 9174, 66362, 3056, 220273, 6, 99611, 2648, 29771, 2205, 4151, 44917, 57619, 6093, 43649, 142429, 2882, 5, 133190, 2205, 6, 148222, 105884, 5950, 1644, 54260, 1211, 4, 163139, 2808, 148932, 21776, 4944, 172398, 2808, 75230, 2702, 220224, 23269, 48277, 850, 4, 138980, 63532, 19532, 75230, 2702, 7746, 5950, 1644, 54260, 1211, 33414, 4852, 4484, 2190, 5666, 1751, 145161, 77188, 5950, 28726, 22753, 23269, 221585, 15050, 5, 177274, 17741, 506, 6, 65606, 63532, 7746, 7265, 10676, 4, 1054, 120467, 22753, 2808, 24012, 56169, 70845, 217284, 40697, 1211, 17190, 1982, 12483, 4, 35189, 2882, 54260, 1644, 163139, 38054, 81444, 160238, 190135, 5950, 28726, 43649, 850, 448, 2190, 5666, 45521, 506, 44478, 2205, 6, 148222, 15622, 54260, 3131, 48350, 15907, 119364, 6, 59919, 21733, 54260, 20315, 2882, 19302, 29771, 46685, 29659, 2205, 48277, 850, 5, 8947, 3056, 54803, 1470, 874, 54260, 82576, 3131, 150541, 4, 39293, 46244, 4269, 54260, 34575, 54260, 4667, 4, 163139, 2702, 147455, 4, 77014, 115398, 13456, 2190, 5666, 31807, 20616, 25207, 16747, 6681, 10676, 10339, 39083, 4484, 5, 44064, 35189, 77208, 42493, 1470, 75230, 4667, 1470, 221067, 1211, 6, 69096, 1470, 75230, 6, 238144, 4852, 2882, 4, 6150, 125523, 174162, 13159, 55242, 129891, 6, 148222, 17741, 850, 7201, 99766, 19302, 905, 59461, 6, 156325, 6, 148222, 14856, 110970, 12483, 5, 9356, 68173, 1211, 138980, 36258, 81444, 4667, 77014, 16580, 1470, 75230, 2702, 895, 7916, 62763, 3149, 64260, 3131, 18225, 115222, 49209, 5950, 28726, 45521, 506, 44478, 6, 156325, 6, 148222, 43649, 142429, 2882, 23093, 905, 93497, 4, 6, 156325, 54745, 80885, 4113, 8903, 1211, 6, 81050, 51723, 220224, 2808, 43649, 186797, 19532, 75230, 2702, 564, 54260, 2808, 6, 148222, 163139, 1982, 29766, 21292, 6, 156325, 1470, 75230, 1982, 12483, 4, 2190, 5666, 564, 54260, 2808, 17741, 850, 37826, 51723, 51963, 123736, 1982, 8903, 64044, 2702, 18640, 2702, 2190, 5666, 18225, 3056, 6235, 90536, 1982, 12483, 564, 54260, 2050, 657, 54260, 1982, 4, 199145, 3056, 132025, 8903, 3111, 2865, 51723, 64044, 10676, 165513, 20961, 13805, 96986, 4, 19302, 143840, 2702, 12483, 2190, 5666, 1751, 172398, 96986, 130170, 6, 148222, 17741, 850, 4, 7369, 6, 238144, 16803, 4852, 18167, 1470, 160204, 132025, 13342, 8903, 1982, 12483, 2190, 5666, 45521, 93509, 36419, 506, 2882, 3069, 6, 189623, 63188, 12483, 4, 3069, 564, 77928, 2882, 26394, 1211, 220224, 1211, 71107, 5, 35189, 134607, 1470, 75230, 95455, 6235, 10069, 40920, 6, 141353, 55823, 1211, 1470, 54260, 2932, 35596, 32792, 6319, 54260, 1211, 13515, 66362, 4, 364, 26, 4269, 137377, 21338, 29771, 75578, 3056, 1751, 75230, 1211, 14856, 46244, 6, 156325, 496, 6, 101328, 46244, 564, 37016, 112711, 13497, 6681, 1470, 17824, 75230, 2702, 12483, 1285, 4944, 16932, 70845, 506, 87309, 4113, 179625, 12483, 15, 103854, 220224, 23269, 119055, 6093, 39340, 4, 199145, 7369, 364, 59929, 1751, 75230, 1211, 41764, 710, 109316, 6235, 13982, 116367, 4 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 10069, 4944, 18415, 2190, 5666, 6235, 28726, 46244, 18415, 74330, 247, 1470, 75230, 4667, 187055, 117641, 13805, 10069, 40377, 6093, 70845, 6, 163177, 48340, 68558, 5, 220224, 151227, 17645, 35189, 6, 201237, 2882, 18225, 6, 156325, 6, 143409, 2205, 6, 119859, 69106, 10339, 75230, 1644, 12483, 2190, 5666, 10676, 73095, 448, 151614, 1982, 12483, 10184, 13845, 123736, 1982, 110763, 115518, 6235, 8300, 119718, 2808, 109226, 3069, 67882, 4944, 12483, 6, 148222, 18330, 65742, 192556, 20616, 4, 6, 238144, 1644, 65790, 14945, 13982, 93449, 18225, 55242, 46244, 10184, 13845, 22639, 26, 2050, 9934, 56914, 113889, 1211, 292, 2190, 5666, 874, 54260, 23269, 119055, 6093, 39340, 6235, 7916, 7511, 12483, 7746, 59450, 221219, 69715, 564, 54260, 2808, 10184, 13845, 14856, 110970, 12483, 4, 10213, 905, 29771, 83182, 2702, 15864, 4667, 6255, 4852, 54260, 2808, 1470, 75230, 7201, 46685, 4484, 170355, 2050, 230764, 9424, 238144, 2882, 194170, 12, 1470, 16, 4151, 73095, 21292, 84475, 6, 148222, 46646, 36677, 3120, 19024, 17741, 850, 4, 564, 16, 95455, 167048, 54260, 24621, 1644, 7265, 10676, 60980, 22426, 710, 128117, 4, 238144, 1644, 1285, 4113, 39293, 1470, 54260, 23269, 106, 148346, 54260, 20315, 1211, 37826, 1470, 54260, 59461, 564, 54260, 2882, 20033, 6235, 3111, 2865, 51723, 2190, 22492, 54260, 35189, 7369, 37826, 20033, 6681, 55242, 6235, 36723, 76216, 21295, 66806, 20635, 3056, 7369, 23050, 78651, 8903, 119718, 29766, 8580, 4, 2200, 58308, 10367, 142196, 6, 238144, 1644, 7369, 220224, 2882, 29434, 7682, 12483, 42493, 58308, 167399, 24390, 4, 119718, 120467, 20033, 151614, 1982, 12483, 6235, 506, 15907, 4, 6255, 151614, 1982, 1470, 30682, 42493, 6235, 8903, 1982, 12483, 6319, 54260, 1211, 69529, 23269, 25391, 17645, 1982, 12483, 15, 35189, 134607, 37826, 1470, 30682, 6681, 10676, 29434, 7682, 12483, 10184, 13845, 10213, 20961, 1982, 54260, 2702, 29060, 4, 6, 59919, 155, 24621, 506, 33716, 2190, 5666, 10339, 139365, 13159, 2702, 77188, 194, 133190, 2205, 4231, 114436, 9424, 54260, 2702, 3056, 21776, 2050, 134607, 42493, 6, 48904, 8903, 29659, 112711, 49008, 3069, 29434, 7682, 12483, 220224, 23269, 657, 17645, 35189, 2190, 5666, 23050, 10069, 40377, 4113, 4, 187055, 111616, 4113, 2808, 152185, 134607, 147582, 51220, 2808, 90848, 1982, 145168, 12483, 230764, 32054, 120467, 2702, 6, 54260, 10069, 3131, 5, 78278, 4151, 9934, 56914, 16667, 1211, 3056, 1470, 75230, 111137, 25207, 40377, 6235, 119718, 29766, 8580, 103854, 1470, 6, 119859, 39293, 18415, 4, 241662, 151614, 1982, 12483, 7746, 10184, 109316, 7369, 3131, 2702, 101251, 23269, 98055, 2882, 4, 6150, 7265, 10676, 106672, 196991, 18225, 10184, 13845, 163139, 24152, 12483, 4, 2190, 5666, 6, 148222, 6, 159696, 21295, 4, 1470, 75230, 4667, 364, 26, 4269, 120467, 35044, 29771, 75578, 4, 55242, 129891, 2808, 75230, 7201, 46685, 215052, 34322, 6235, 119718, 29766, 8580, 4, 199145, 6681, 1470, 163139, 24152, 17310, 220224, 23269, 217284, 40697, 657, 17645, 35189, 151614, 1982, 12483, 230764, 35189, 1470, 75230, 2702, 44693, 2648, 17310, 6, 105780, 26, 2050, 10339, 39083, 4484, 2190, 5666, 6, 238144, 75578, 5, 95455, 364, 59929, 1751, 75230, 1211, 10213, 46685, 20911, 1470, 54260, 59461, 156325, 178766, 4113, 6319, 23173, 13159, 7201, 29771, 16747, 35596, 12483, 15, 62808, 7369, 2808, 127684, 12483, 7746, 42493, 4 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2205, 119055, 13845, 4944, 12483, 223229, 194, 148222, 34482, 74004, 107581, 4, 6681, 119718, 120467, 364, 26, 6, 113889, 16803, 17410, 200117, 93497, 657, 17645, 35189, 2190, 5666, 6235, 10069, 4944, 18415, 151614, 1982, 12483, 6150, 75230, 96352, 121740, 6235, 159696, 1211, 6, 27137, 10339, 39083, 4484, 2190, 5666, 151614, 1982, 12483, 6235, 506, 9221, 13805, 4, 3056, 6, 76776, 69106, 22639, 27720, 4667, 292, 6, 238144, 1644, 220224, 39293, 129891, 23050, 3111, 2865, 51723, 6, 105780, 26, 2050, 6, 54260, 2648, 40697, 1211, 17190, 1982, 12483, 4, 8947, 657, 17645, 2932, 2702, 2205, 220224, 2808, 6, 69096, 84577, 6093, 163139, 46053, 24390, 15622, 54260, 3131, 12483, 23050, 3131, 2865, 34882, 5, 1470, 15907, 149010, 1211, 4, 6, 94741, 40920, 7746, 4, 7369, 21776, 24152, 43178, 13497, 1285, 126230, 125942, 123073, 4, 119718, 120467, 55242, 129891, 81444, 74806, 145161, 77188, 5, 6, 148222, 1751, 94626, 107581, 3056, 7508, 54260, 1211, 217284, 13456, 4, 2190, 5666, 34654, 2808, 97995, 98229, 51723, 144581, 183216, 55242, 46244, 1751, 47351, 5, 364, 26, 4269, 120467, 21338, 29771, 75578, 37826, 95455, 6, 59919, 10069, 43178, 132, 2702, 16, 2702, 2205, 207405, 3496, 195164, 35189, 7369, 3131, 36419, 4, 119055, 76632, 16667, 2702, 16667, 4151, 10339, 29771, 86070, 6093, 80885, 217284, 152185, 1285, 4944, 16932, 3069, 220224, 1211, 5, 6, 68558, 1470, 30682, 85465, 200117, 12483, 7746, 6, 79238, 2702, 87680, 28798, 22492, 6235, 159696, 104149, 2190, 2932, 6235, 3111, 24621, 12483, 71180, 1982, 12483, 5, 564, 48350, 29771, 83182, 2702, 5, 11556, 104149, 20033, 6, 65606, 51723, 220224, 1211, 193042, 15231, 184855, 6235, 10069, 40920, 137, 35189, 178116, 23269, 9616, 7682, 4, 199145, 6, 59919, 10069, 172398, 95766, 1470, 54260, 1211, 1470, 54260, 90848, 55823, 14004, 101608, 84349, 45629, 107581, 40653, 8903, 4852, 13159, 8300, 2702, 3069, 119055, 6093, 8580, 4, 81444, 4667, 119055, 29060, 8947, 2205, 4484, 54260, 1211, 165513, 45629, 107581, 151614, 1982, 12483, 10676, 6, 105439, 4, 163139, 2808, 70845, 15622, 204932, 12483, 5, 8947, 119055, 39083, 2882, 1470, 15622, 25391, 6235, 159696, 104149, 51723, 8248, 76866, 8947, 29434, 7682, 12483, 2190, 5666, 20033, 34076, 75230, 1982, 12483, 4, 6150, 364, 54260, 50778, 8903, 9424, 54260, 96986, 147062, 18225, 564, 54260, 2050, 13982, 7682, 12483, 1470, 75230, 4667, 1751, 119718, 63188, 18640, 4484, 54260, 2702, 12483, 42493, 6, 87311, 4944, 12483, 5, 2451, 24390, 117578, 13159, 36419, 4151, 10339, 39083, 13805, 44693, 2648, 17310, 63593, 22426, 55823, 54574, 12483, 20033, 10676, 137, 36419, 448, 155, 2190, 5666, 163139, 13497, 12483, 8947, 170479, 1644, 12483, 6, 148222, 6235, 13982, 710, 146873, 5332, 215052, 63593, 22426, 17410, 25207, 2205, 33960, 4944, 12483, 45521, 24152, 75230, 23741, 119055, 6093, 8580, 4, 95455, 1054, 21106, 21295, 1470, 75230, 150020, 63593, 106559, 93497, 10676, 134607, 220224, 23269, 14004, 73375, 8903, 6235, 10069, 4944, 18415, 2190, 5666, 657, 17645, 35189, 19532, 75230, 2702, 13342, 8903, 1982, 12483, 4, 1470, 75230, 4667, 3523, 54260, 4113, 3069, 6, 59919, 27720, 2702, 150349, 1211, 2190, 2932, 3069, 13982, 7682, 12483, 5, 6150, 13845, 107581, 44458, 32670, 141943, 4113, 12023, 4944, 32792, 9424, 2702, 7201, 49008, 10676, 10339, 39083, 4484, 6, 148222, 1470, 75230 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8903, 1211, 2909, 2357, 1126, 107050, 133617, 43590, 4151, 75230, 6293, 5, 5332, 155, 1982, 10367, 7511, 80393, 9221, 6, 152203, 47063, 220224, 2808, 42493, 3069, 29434, 7682, 12483, 4, 4944, 7916, 8947, 3056, 4269, 155, 4944, 10339, 139365, 64260, 12483, 53005, 22492, 6428, 219097, 2808, 2190, 5666, 8947, 107776, 4151, 5, 64044, 4838, 17824, 75230, 101608, 6, 196821, 5, 2808, 5, 564, 5, 3523, 64260, 35044, 29771, 75578, 5, 99402, 10367, 7511, 874, 210326, 4, 36324, 6, 148222, 66616, 36677, 6, 156325, 6, 148222, 17741, 850, 29434, 7682, 6255, 14081, 1644, 54260, 1211, 163363, 110729, 564, 30473, 97634, 62808, 2909, 35189, 17288, 148346, 25207, 98071, 86733, 32887, 152194, 3120, 4151, 202469, 506, 132, 37271, 506, 17017, 45631, 2004, 184007, 4, 9934, 5, 4572, 2077, 137, 506, 16888, 179404, 9356, 62689, 54177, 9671, 6, 75230, 1982, 47063, 63849, 9134, 16888, 194170, 564, 106672, 54678, 609, 76526, 30741, 120972, 15, 4852, 56914, 113889, 1211, 247, 364, 54260, 3111, 1470, 16, 35189, 73095, 448, 4, 84475, 6, 148222, 17824, 75230, 36419, 66616, 36677, 2205, 163139, 50853, 4, 6150, 6, 148222, 17741, 87097, 29771, 1982, 12483, 1470, 75230, 2702, 8903, 144581, 1982, 12483, 10676, 657, 54260, 1982, 6681, 1470, 6, 145146, 74, 564, 16, 95455, 167048, 54260, 9719, 1644, 144754, 10676, 60980, 46590, 29771, 3131, 4, 208042, 7213, 2648, 131445, 905, 77801, 564, 14081, 17525, 6, 37016, 39293, 137427, 69596, 1211, 41731, 119718, 46985, 564, 30473, 97634, 62808, 5, 5110, 23822, 2050, 6, 132873, 3944, 2376, 116846, 58308, 80161, 22492, 4775, 4, 657, 15307, 506, 153796, 448, 34072, 13754, 14236, 710, 2568, 66317, 9181, 14514, 11139, 75903, 21219, 20632, 20315, 3944, 9915, 36419, 80393, 18340, 130742, 905, 2384, 2648, 131445, 2050, 41558, 20278, 5, 86901, 364, 76632, 874, 210326, 16780, 364, 27105, 131445, 448, 3131, 95766, 564, 56570, 69529, 113318, 2568, 93509, 43590, 874, 66168, 895, 2339, 14514, 6, 5594, 8580, 69529, 43057, 131445, 10125, 2648, 131445, 35148, 4, 4074, 14764, 10774, 4, 2568, 5666, 7511, 43057, 131445, 35148, 163363, 364, 56417, 564, 30473, 97634, 62808, 33331, 10498, 4775, 895, 13515, 51138, 116019, 6, 147899, 15662, 4892, 2007, 27105, 131445, 448, 620, 14004, 84286, 905, 564, 166617, 21219, 69715, 2050, 14514, 6, 17645, 112593, 895, 60826, 179863, 4, 12023, 564, 181247, 21696, 895, 20116, 6, 196821, 34671, 119947, 22492, 6428, 219097, 2808, 2909, 2932, 120467, 1644, 29771, 148346, 93497, 4838, 6, 170355, 4667, 159308, 6, 113889, 51723, 137, 26612, 3523, 54260, 4113, 116618, 43590, 155, 37826, 7746, 2808, 75230, 4667, 6235, 13982, 905, 20911, 2205, 137, 50931, 874, 174798, 2004, 543, 6463, 4, 6, 68380, 26, 6529, 73784, 6, 148346, 93704, 75230, 53414, 4, 4484, 171428, 20033, 42493, 6, 148346, 26612, 29659, 710, 51723, 4, 3120, 199145, 56170, 4838, 3496, 23173, 129071, 6093, 95455, 3056, 4, 10918, 4838, 88911, 21422, 4838, 116486, 170355, 98071, 36326, 6, 170355, 4667, 4, 84475, 6, 47351, 6, 23173, 46545, 1644, 4, 6, 238144, 1644, 1285, 6, 170355, 4667, 26217, 27720, 3056, 1470, 75230, 2702, 8903, 121865, 1211, 2205, 10676, 5332, 215052, 63593, 22426, 1644, 23173, 4, 199145, 20033, 6, 148346, 165592, 31623, 1211, 74, 22753, 68313, 6, 148346, 1644 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 4852, 56170, 8300, 54260, 4944, 13497, 2205, 10676, 87481, 186955, 5, 506, 99402, 2205, 178766, 137, 23173, 54260, 5666, 91163, 155, 151614, 148346, 1211, 20033, 6, 148346, 75322, 6093, 20911, 4, 36324, 6, 148346, 3111, 8903, 20315, 2050, 32887, 152194, 3120, 76961, 6, 113889, 21338, 29771, 148346, 93497, 6, 159696, 24152, 151614, 148346, 1211, 20033, 6, 21106, 7611, 6235, 212484, 1211, 24291, 95766, 220224, 1211, 2190, 95064, 29659, 186955, 4, 163139, 67873, 20033, 81444, 4, 110573, 10069, 8947, 170479, 42493, 6, 104378, 6, 198087, 54260, 1211, 186421, 4, 1285, 81444, 4852, 125897, 119055, 6093, 16932, 4838, 6, 148346, 710, 35044, 4151, 21733, 53414, 12, 62808, 151614, 148346, 1211, 3120, 6319, 54260, 1211, 6, 170355, 4667, 6, 113889, 21338, 29771, 148346, 93497, 42493, 6235, 506, 40096, 56170, 7746, 4484, 54260, 1211, 67882, 68380, 84316, 22426, 2882, 4, 6, 148346, 1644, 75230, 4852, 6235, 13982, 905, 146873, 233089, 2702, 4, 151614, 148346, 1211, 20033, 4151, 710, 148346, 6093, 7511, 2882, 6235, 506, 40096, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 45521, 16803, 13342, 128540, 6, 113889, 21338, 29771, 148346, 93497, 123736, 215206, 24295, 21106, 4, 21106, 4113, 1285, 21106, 4113, 13805, 40697, 1470, 54260, 105405, 52480, 28726, 4944, 4484, 54260, 28320, 220224, 23269, 72158, 86270, 74, 62808, 151614, 148346, 1211, 4151, 710, 148346, 6093, 21106, 54260, 1211, 6, 99611, 6235, 506, 40096, 6319, 54260, 1211, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 192183, 226112, 1644, 52541, 657, 75230, 2882, 10676, 123736, 215206, 24295, 21106, 76961, 6, 61541, 53414, 4, 199145, 220224, 49008, 6, 23173, 54260, 23405, 73381, 21106, 1211, 2205, 6428, 55049, 4, 4151, 506, 75230, 22426, 2882, 3056, 8947, 6235, 225975, 2882, 6235, 119718, 29766, 1211, 6, 148346, 3111, 8903, 10676, 137, 20315, 13805, 2884, 2004, 199145, 3056, 132025, 8903, 22426, 125897, 159696, 2882, 7265, 17824, 54260, 56880, 5, 20033, 151614, 148346, 1211, 6, 148346, 1644, 75230, 4852, 23050, 39340, 16667, 56170, 12415, 40377, 1211, 1285, 148346, 15096, 18415, 6428, 55049, 61541, 53414, 4, 123736, 148346, 6093, 42493, 28415, 5, 2205, 1285, 3944, 35189, 151614, 148346, 1211, 20033, 4, 23269, 2865, 188301, 2205, 4838, 40920, 1285, 1470, 54260, 105405, 52480, 28726, 4944, 4484, 54260, 2702, 3120, 4151, 119055, 39083, 127684, 506, 164046, 4, 16175, 54260, 1644, 2865, 39083, 3069, 8903, 22426, 59929, 2882, 22753, 3069, 10676, 4269, 48775, 2050, 74, 4838, 43649, 54260, 61397, 6, 113889, 35044, 29771, 148346, 6093, 119055, 39083, 2882, 6319, 54260, 5666, 2865, 39083, 42493, 6235, 23847, 75322, 2882, 137, 26612, 3373, 4667, 155, 7265, 137, 2882, 54260, 4667, 2004, 119055, 12483, 895, 22426, 710, 4151, 119055, 39083, 127684, 1470, 75230, 2702, 3131, 22426, 48775, 4667, 119055, 39083, 2882, 6, 99611, 1470, 75230, 2702, 104378, 12, 137, 57277, 1211, 155, 74, 29771, 35189, 137, 2442, 54260, 4852, 109316, 155, 7265, 137, 23847, 48350, 109316, 155, 292, 119055, 12483, 137, 23847, 48350, 109316, 155, 119055, 39083, 2882, 7746, 204982, 2808, 75230, 2702, 238197, 163139, 137, 50856, 48350, 109316, 155, 228830, 4, 163139, 1285, 6, 69181, 119718, 40697, 6, 54260, 35465, 119055, 13845, 46053, 13159, 6, 148346, 60732, 185527, 6, 99611, 6235, 23847, 75322, 2882, 5, 2588, 418, 159696, 2442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16932, 46464, 4944, 26394, 2882, 17410, 5, 69859, 2884, 71107, 119055, 29060, 1751, 75230, 1211, 17190, 17017, 6, 148346, 1644, 75230, 4852, 99611, 6428, 23173, 33225, 6, 225975, 1211, 292, 3373, 26, 159696, 48253, 75230, 1211, 6, 109995, 1470, 75230, 2702, 17953, 104855, 4, 1470, 75230, 2702, 21631, 15703, 5, 26612, 506, 25559, 2442, 148346, 506, 29659, 54260, 59461, 292, 4838, 3373, 109636, 42180, 4, 44478, 6, 240863, 2205, 9934, 9134, 2205, 22753, 183216, 20315, 2050, 137, 75689, 21776, 506, 2909, 14004, 25603, 21733, 40096, 4944, 12483, 292, 4838, 159696, 4484, 2932, 91275, 171428, 5, 146598, 109636, 710, 13159, 292, 6, 148346, 26612, 119718, 15533, 1211, 5, 2808, 75230, 2702, 23269, 105235, 1644, 7611, 292, 705, 64260, 119718, 710, 29060, 95494, 710, 12483, 292, 6, 172398, 101608, 1211, 4, 56170, 183718, 5, 119718, 80453, 2702, 44779, 220224, 1211, 5, 120467, 17494, 22426, 1211, 292, 6, 23173, 141943, 13159, 3120, 710, 56170, 3131, 54260, 2442, 65482, 5, 87311, 5666, 137377, 39083, 23173, 46545, 1644, 12483, 5, 14004, 148346, 6093, 8903, 506, 23173, 2702, 292, 40653, 8903, 159696, 32206, 5, 26612, 4944, 64260, 4113, 292, 60631, 4484, 5, 186955, 88660, 2702, 23269, 149311, 292, 6, 186955, 4484, 183718, 2882, 183718, 8580, 5, 171433, 8903, 148346, 29766, 13159, 292, 7746, 4838, 3373, 4667, 23050, 48775, 214766, 2702, 5, 71577, 9221, 292, 2190, 22426, 710, 68959, 23173, 75230, 2702, 8903, 61541, 36326, 109636, 2882, 2451, 23173, 75230, 2702, 8903, 3131, 36419, 13805, 5, 29766, 163177, 12483, 292, 364, 9221, 163177, 12483, 5, 148346, 5, 148346, 59929, 7511, 59929, 1644, 29771, 119718, 292, 75179, 448, 25391, 54260, 75578, 5, 148346, 26612, 104378, 6, 5, 2451, 1470, 54260, 5666, 8903, 2932, 22426, 5666, 49008, 5, 148346, 1644, 165592, 49008, 292, 6, 76776, 184855, 193178, 7746, 5, 148346, 29771, 88660, 2050, 6, 23173, 75230, 2702, 5666, 54260, 1211, 292, 1470, 75230, 95564, 118692, 12483, 148346, 48775, 292, 6, 148346, 2442, 54260, 4113, 5, 2932, 5, 2932, 92500, 292, 4151, 163139, 1644, 59461, 64890, 2884, 5, 2932, 29766, 21106, 142170, 292, 6, 148346, 2442, 48904, 33225, 13458, 114436, 2882, 5, 26217, 148346, 6093, 64310, 43649, 64260, 292, 37189, 75578, 7511, 21106, 4113, 43649, 64260, 4, 26217, 2882, 6, 148346, 213783, 292, 6, 68380, 1470, 75230, 2702, 148346, 213783, 7746, 4, 18133, 68566, 46053, 7746, 4838, 6, 68380, 6, 99766, 2205, 113524, 16870, 1211, 5, 2932, 54260, 1211, 4838, 32887, 24152, 292, 22753, 183216, 1470, 75230, 33225, 6, 101608, 16580, 46053, 29659, 54260, 61397, 5, 21847, 3111, 1644, 620, 5666, 292, 6319, 54260, 21733, 12483, 7746, 2205, 9915, 54260, 74, 165592, 26612, 6, 56052, 6, 124470, 41387, 506, 4, 199145, 18225, 235466, 2808, 75230, 6293, 7746, 4, 110573, 10069, 120202, 13342, 104378, 5, 8903, 2648, 160022, 292, 23050, 13982, 54260, 2050, 4838, 874, 15662, 5, 8903, 212484, 2882, 657, 75230, 33225, 292, 6, 151227, 165592, 2702, 56170, 42180, 1211, 4, 137377, 42180, 1211, 4, 56170, 3131, 28726, 22426, 1211, 5, 8903, 96951, 4944, 29060, 292, 74806, 2865, 87442, 4, 74806, 5666, 71577, 2702, 4, 8903, 46464, 40920, 5, 23269, 31249, 710, 35189, 292, 364, 15350, 31212, 5, 50856, 54260, 3131, 44779 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 6235, 35189, 448, 4, 21374, 126968, 2702, 5, 2648, 5, 94741, 710, 41764, 710, 76632, 141943, 39293, 292, 33960, 148346, 182731, 5, 94741, 101296, 38596, 65482, 15622, 109636, 292, 4838, 19302, 54260, 2648, 3120, 26612, 101328, 6, 56052, 220224, 2648, 5, 2588, 304, 2648, 171433, 120467, 48253, 7682, 13159, 292, 6, 189098, 16847, 5, 2648, 31212, 292, 364, 75230, 4667, 4, 123736, 130752, 5, 10069, 13845, 13159, 292, 64769, 33188, 4, 18906, 22426, 33056, 4, 116486, 26394, 46053, 5, 135542, 15435, 1644, 2451, 148346, 135542, 506, 55546, 2451, 128540, 32573, 27570, 4, 101296, 12984, 6, 59919, 6, 47351, 123736, 25207, 212915, 5, 20315, 4944, 75230, 93497, 6, 148346, 710, 63864, 292, 1285, 6428, 54260, 153222, 9213, 148346, 6093, 4852, 21660, 17310, 6, 189098, 10676, 224220, 172398, 80453, 69355, 57689, 14856, 152848, 75386, 68558, 230764, 10367, 4667, 5, 20315, 7511, 126968, 292, 4838, 186046, 8300, 54260, 22426, 125897, 143628, 36326, 36258, 148346, 4113, 15, 26612, 364, 21106, 148346, 6093, 4269, 90848, 81829, 194, 20315, 22426, 22151, 161577, 292, 54745, 204403, 30473, 46053, 4, 41764, 7682, 2648, 15050, 5, 35189, 17494, 153222, 1211, 292, 4151, 13159, 1211, 4, 6, 23173, 54260, 20260, 12415, 12984, 95766, 1285, 564, 127684, 5, 13982, 93975, 292, 4838, 9424, 71577, 1644, 4, 4838, 119055, 29766, 6293, 4, 4838, 9721, 125897, 5, 2648, 48775, 148346, 13159, 292, 1751, 119718, 710, 47526, 6093, 4, 1470, 75230, 2702, 2702, 72631, 22426, 1211, 5, 506, 5, 506, 142429, 17645, 292, 6235, 3111, 2932, 5, 506, 39083, 4113, 126968, 2702, 292, 121193, 54260, 20315, 44779, 4, 3120, 48277, 5, 87637, 124470, 25207, 21292, 46985, 292, 1285, 4151, 1644, 75230, 1982, 161829, 4, 905, 13845, 107581, 3056, 6235, 101296, 40920, 6235, 119718, 29766, 1211, 15, 69355, 7758, 69452, 874, 60071, 43178, 148346, 6093, 2932, 16, 3069, 6, 101470, 22426, 90848, 8300, 35596, 564, 54260, 6235, 119718, 710, 36419, 6, 148346, 93704, 23174, 109226, 5, 4151, 6, 26394, 21338, 84475, 4838, 6, 148346, 75322, 6093, 4484, 17310, 1470, 75230, 33225, 17288, 13805, 1644, 4, 199145, 7369, 21733, 77188, 4, 165592, 4151, 116486, 8300, 35596, 119055, 77188, 6235, 5666, 75230, 51723, 895, 22426, 710, 42355, 5, 506, 2702, 148346, 19063, 292, 6, 124470, 143712, 5, 506, 137377, 1211, 292, 95455, 364, 137377, 5666, 8903, 75230, 13805, 84475, 19302, 54260, 23269, 1751, 46545, 44779, 6319, 39083, 54196, 112216, 22426, 9221, 4, 119718, 120467, 7265, 220224, 10339, 147713, 2882, 18225, 4838, 87311, 22849, 26612, 15949, 46053, 10676, 2939, 1211, 3069, 564, 93704, 37016, 16667, 5, 119718, 21106, 40096, 3131, 13159, 292, 119055, 21106, 59461, 2882, 7746, 4838, 68550, 4, 5, 3131, 28726, 22426, 2882, 7746, 4838, 60071, 5, 119718, 710, 113889, 119718, 29766, 292, 1470, 75230, 49268, 54260, 2648, 5, 159696, 13845, 292, 215031, 6, 56052, 657, 54260, 119718, 13497, 5, 4852, 5, 170355, 94741, 97634, 48253, 23269, 45495, 24621, 292, 1470, 75230, 7201, 113889, 148346, 23269, 21295, 4, 4838, 35189, 75230, 6293, 5, 4852, 165592, 131044, 3131, 23269, 292, 56170, 2865, 43178, 28726, 75578, 5, 4852, 29771, 104238, 4113, 292, 4838, 6, 97634, 4944, 16932, 5, 170355, 203749, 142429, 174121, 1644, 292, 4151, 18906, 171665, 2884, 1644 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 59461, 4, 119718, 120467, 657, 54260, 2932, 2702, 1470, 54260, 1211, 23050, 75386, 4838, 75386, 18906, 171665, 2884, 5, 39293, 16580, 26394, 2702, 292, 6, 37016, 39293, 17494, 42180, 2702, 5, 4, 62763, 31467, 292, 4838, 364, 15350, 89930, 59461, 17879, 1211, 3120, 43449, 75230, 69855, 91163, 119055, 172398, 5, 3149, 5, 220798, 122652, 292, 215031, 6, 56052, 56170, 9424, 54260, 46545, 11211, 35044, 5666, 141014, 6, 148346, 42695, 292, 4838, 10339, 54260, 1211, 114338, 1644, 4, 4838, 6, 61397, 120467, 16667, 5, 2882, 5, 57277, 95564, 29060, 292, 620, 4113, 22426, 2702, 5, 2702, 120467, 8580, 292, 78104, 80264, 4, 6, 57277, 148346, 92605, 5, 97634, 4484, 292, 3944, 21106, 39340, 5, 205416, 2932, 292, 364, 183512, 1644, 95564, 171433, 195088, 5, 2882, 75230, 4484, 1751, 54260, 6093, 73784, 29434, 79238, 1211, 5, 34079, 12666, 109636, 16803, 15533, 105330, 292, 4838, 56170, 8300, 54260, 46545, 6093, 1470, 54260, 148346, 6093, 148346, 16747, 68558, 6, 49268, 148346, 1644, 5, 175221, 88660, 133190, 5, 2588, 363, 21338, 905, 134067, 2451, 21733, 905, 134067, 292, 6, 109636, 21733, 5, 23822, 13159, 12483, 292, 46711, 54260, 35044, 12483, 5, 48253, 99766, 6, 77820, 29771, 119055, 30473, 26612, 119718, 292, 2648, 16175, 54260, 119718, 10125, 64260, 70845, 160751, 71577, 2702, 5, 48253, 99766, 6, 77820, 29771, 41764, 12415, 99611, 292, 4151, 16175, 54260, 119718, 10125, 120467, 70845, 160751, 48775, 40920, 5, 178107, 113889, 119718, 29171, 292, 6, 148346, 26612, 75322, 16932, 5, 123073, 1369, 2882, 86733, 16870, 2451, 29771, 152185, 16870, 292, 2442, 54260, 5, 710, 5, 9183, 109636, 292, 4838, 32054, 75230, 135118, 1644, 54260, 2648, 5, 137218, 148346, 16870, 29171, 13159, 292, 75851, 16847, 4, 4269, 90848, 30750, 4, 210346, 25207, 4231, 109226, 5, 710, 59929, 23269, 159696, 1644, 87311, 163177, 23269, 81444, 148346, 90848, 2648, 39293, 17645, 26612, 78104, 21338, 56170, 41764, 75230, 1644, 40697, 146594, 19063, 5, 710, 98071, 41387, 2451, 21292, 54705, 130742, 5, 4944, 5, 4944, 142429, 292, 6, 48904, 5666, 4, 6, 23173, 54260, 5666, 240863, 5, 171665, 27570, 188257, 292, 17288, 4944, 82576, 148707, 57277, 4852, 5, 10813, 710, 95564, 292, 186565, 7611, 4, 112216, 2702, 3131, 4, 32054, 59929, 4484, 5, 148346, 80453, 506, 29171, 292, 42542, 4269, 54260, 1211, 56170, 4838, 110573, 80453, 506, 4, 148346, 7972, 148346, 905, 29171, 5, 1644, 5, 1644, 71577, 5666, 9719, 8300, 44779, 292, 11211, 21338, 12483, 7265, 1470, 75230, 53414, 5, 12666, 148346, 292, 6, 88660, 25207, 3120, 564, 54260, 46685, 74, 4269, 54260, 2882, 230764, 75290, 148346, 4, 4838, 75230, 6293, 6, 148346, 6093, 29659, 2200, 6, 90848, 2932, 29771, 163177, 13159, 5, 7972, 71577, 292, 37189, 2702, 25207, 15388, 74, 56170, 39293, 161829, 4, 24012, 119718, 155, 4852, 7682, 4, 120202, 8903, 212484, 65482, 6, 148346, 65606, 5, 45081, 2442, 6, 148346, 2882, 3149, 2884, 292, 110573, 10069, 3069, 220224, 1211, 162926, 6093, 5, 2865, 5, 87311, 7682, 292, 199145, 657, 75230, 23741, 125523, 4151, 6, 87311, 20315, 5, 11556, 153222, 1211, 292, 67882, 16932, 1211, 5, 2865, 63976, 15, 35402, 76866, 4852, 50144, 506, 17727, 292, 56170, 1644, 141943, 2882, 4, 7201, 23173, 3131, 159696 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40920, 4, 6319, 21106, 17645, 6235, 101296, 40920, 5, 232898, 144529, 2451, 144803, 609, 144529, 292, 705, 24621, 25391, 292, 4838, 9424, 172398, 60403, 3120, 4151, 6, 124470, 76179, 506, 29771, 35189, 221895, 117902, 9183, 20911, 1211, 4, 1054, 120467, 8903, 506, 93497, 3069, 1285, 657, 238144, 2050, 5, 14857, 10705, 2865, 124470, 1211, 292, 241304, 5, 14857, 148346, 17645, 220224, 1211, 292, 6, 148346, 26612, 3131, 119718, 53414, 5, 5666, 5, 76776, 148346, 23173, 292, 95455, 6, 101470, 21776, 25616, 905, 28320, 5, 5666, 48904, 48775, 20315, 292, 564, 21106, 75230, 3111, 23405, 4, 1470, 75230, 2702, 8300, 54260, 4944, 43178, 17310, 5, 76776, 10813, 17645, 2451, 120202, 8903, 212484, 114436, 4, 6, 148346, 141356, 123329, 59173, 5, 7511, 16870, 29771, 98071, 74813, 13159, 292, 43649, 54260, 4113, 74915, 850, 5, 37599, 85, 399, 292, 874, 34533, 5, 23269, 4944, 54260, 6, 17645, 6, 48253, 99766, 6, 87311, 38054, 29771, 17645, 292, 35189, 16175, 54260, 119718, 1644, 170479, 22753, 4151, 29659, 133671, 5, 5666, 21066, 4113, 292, 15750, 61541, 4113, 5, 2702, 5, 2702, 39083, 8300, 29771, 119718, 710, 119132, 6, 105235, 38249, 292, 705, 2702, 148346, 29766, 29659, 3131, 7682, 292, 4151, 13754, 86733, 137, 2702, 57277, 710, 90848, 80885, 155, 2205, 6, 75322, 39083, 133671, 207405, 4, 2588, 617, 119718, 120467, 10339, 147713, 2882, 6428, 23173, 33225, 1470, 75230, 7201, 87311, 49008, 148346, 2882, 1285, 6, 54260, 35465, 1285, 56170, 3131, 54260, 2648, 65482, 29659, 54260, 53414, 4, 3069, 128540, 6428, 225958, 3120, 10069, 21776, 25616, 905, 28320, 2200, 1470, 75230, 4667, 6, 215629, 1285, 107182, 2442, 7682, 22426, 42180, 5, 2702, 119718, 142429, 9934, 5666, 88660, 113889, 9183, 292, 6235, 4852, 21660, 148346, 31212, 4, 221586, 4113, 13805, 5, 2702, 119718, 29771, 17645, 119055, 39083, 17645, 292, 160204, 199145, 95455, 364, 23173, 7611, 195054, 71616, 5, 2702, 159696, 48253, 113889, 710, 3373, 148346, 29766, 292, 3944, 40920, 137377, 8300, 39083, 4, 119718, 120467, 6, 54260, 35465, 151614, 148346, 1211, 2205, 9424, 23173, 65689, 207405, 6235, 8300, 39083, 2882, 5, 82576, 159696, 292, 41764, 2932, 17188, 4, 3523, 63831, 5, 34575, 29771, 17645, 142170, 292, 4838, 6235, 148346, 54260, 4, 4838, 17879, 1211, 5, 2702, 2702, 90848, 710, 29060, 292, 6, 148346, 75230, 2882, 5, 34575, 710, 292, 16888, 2882, 74, 3496, 71577, 1211, 10676, 3373, 65848, 292, 4944, 71577, 1211, 10676, 16888, 2882, 5, 21087, 99176, 90761, 2808, 292, 1285, 65902, 22426, 506, 4, 4151, 6, 31623, 155, 506, 25207, 4, 4151, 1751, 28320, 5, 21087, 22426, 92605, 292, 364, 75230, 2702, 3131, 157245, 6093, 4, 3496, 26612, 1982, 23173, 29171, 5, 2702, 15949, 2648, 23173, 142170, 2451, 506, 2702, 15435, 29766, 142170, 292, 118439, 448, 29659, 710, 148346, 710, 4, 53636, 121865, 23269, 39293, 17017, 4, 57588, 111398, 161270, 5, 2702, 101296, 65848, 21338, 292, 1470, 75230, 7201, 39293, 6093, 4, 1470, 75230, 7201, 22426, 59929, 93497, 2865, 29766, 4944, 12483, 7265, 1285, 34076, 29771, 64213, 292, 7508, 23173, 7201, 5, 144754, 1285, 1470, 75230, 15388, 5, 114349, 36609, 23269, 292, 46711, 75230, 6093, 7682, 4, 2190, 107182, 7682, 5, 36419, 104238, 292, 15, 2702, 18340, 80453 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 247, 9424, 119718, 710, 148346, 92605, 5, 150349, 59929, 26612, 148346, 2451, 9719, 21338, 4, 5332, 8632, 4, 160238, 21338, 5, 150349, 26612, 88660, 71512, 292, 22444, 98071, 4484, 5, 49268, 218241, 292, 6, 16932, 56052, 5, 4113, 5, 13845, 7682, 292, 215031, 6, 56052, 22444, 4944, 119718, 23173, 5666, 5, 22426, 5, 22426, 26612, 10813, 7682, 13159, 292, 186046, 4113, 148346, 4484, 13159, 5, 22426, 21106, 29771, 159696, 292, 874, 37016, 65482, 5, 7201, 48904, 710, 148346, 65606, 292, 4838, 121865, 2702, 29771, 25616, 40096, 5, 22426, 710, 142170, 81444, 148346, 90848, 2648, 4852, 17645, 292, 6, 80453, 45631, 28726, 148346, 1211, 5, 22426, 26612, 8300, 71577, 12483, 292, 4151, 2882, 71577, 1211, 4, 46050, 15388, 5, 7201, 48904, 7201, 29766, 29771, 208182, 292, 32054, 84577, 40697, 5, 22426, 92605, 4, 6, 80453, 16580, 15, 22426, 125897, 16, 292, 81444, 4667, 74, 1470, 75230, 148346, 1751, 75230, 1211, 5, 204403, 2648, 40096, 292, 43649, 54260, 6093, 5, 204403, 94741, 2050, 54745, 3111, 2932, 4, 4231, 59929, 142170, 112216, 142170, 292, 4944, 26, 159696, 1644, 6235, 148346, 1211, 182731, 4, 3944, 40377, 123329, 6, 80453, 45631, 5, 204403, 2648, 148346, 29771, 88660, 2050, 292, 2205, 1285, 564, 218241, 13159, 4, 2205, 1285, 4852, 54260, 28320, 5, 204403, 48253, 46053, 162726, 101328, 158652, 13159, 4, 6, 53171, 27570, 5, 204403, 104238, 4113, 292, 4838, 657, 119718, 5594, 5, 7201, 171433, 17645, 292, 4838, 78104, 22426, 13456, 143628, 3131, 9934, 18553, 1644, 5, 204403, 2702, 36419, 159696, 7611, 292, 215031, 874, 120467, 5, 204403, 1644, 29771, 119718, 48904, 77820, 106559, 292, 4231, 23173, 13720, 106559, 5, 204403, 1644, 239162, 4852, 292, 6, 148346, 1211, 6, 21106, 16932, 6, 57277, 69106, 5, 204403, 7972, 183202, 13159, 292, 1470, 54260, 5666, 119718, 2808, 75230, 59461, 3120, 117902, 1644, 13159, 17645, 5, 204403, 96951, 16629, 76632, 4113, 292, 6, 186601, 74, 6, 23173, 137377, 101470, 4, 23173, 137377, 39293, 64213, 3120, 6, 80453, 54260, 4852, 5, 22426, 183911, 448, 292, 1285, 134607, 448, 2200, 1285, 6, 159696, 24152, 4, 119718, 120467, 56170, 101470, 7746, 7265, 1470, 54260, 5666, 128540, 6, 141943, 154739, 46545, 1285, 6, 54260, 2648, 40697, 6235, 39293, 64213, 4, 163139, 4151, 4231, 26659, 140746, 4, 4151, 81951, 1211, 24621, 22426, 2882, 2200, 221895, 74330, 5, 135455, 2702, 2702, 90848, 710, 12483, 4838, 41764, 18640, 28726, 292, 193178, 21374, 177243, 11556, 177243, 4, 10339, 29771, 149211, 1211, 5, 22426, 710, 142170, 292, 4269, 23173, 21338, 5, 7916, 119718, 148346, 6093, 1644, 292, 705, 22426, 13456, 48253, 21106, 39340, 292, 10339, 54260, 59919, 1644, 5, 7201, 54260, 292, 6, 159696, 159696, 24152, 13159, 109636, 1644, 4944, 44779, 5, 22426, 2702, 23173, 142170, 292, 364, 41595, 29659, 21106, 5, 22426, 71804, 159696, 2882, 2451, 564, 142429, 2882, 5, 22426, 67054, 2702, 6, 148346, 1211, 231019, 292, 4838, 6, 124470, 22492, 3120, 116, 46053, 4231, 155, 506, 5, 22426, 2702, 26612, 101328, 107581, 292, 15, 9183, 107581, 16, 364, 41595, 13456, 6, 148346, 137119, 5, 22426, 48775, 148346, 26612, 119718, 39340, 292, 364, 24244, 29111, 5, 22426, 48775, 159696, 292, 198754, 5, 80453, 59929, 57277, 119718, 39340, 292 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3069, 128540, 5, 22426, 90848, 36326, 142170, 292, 6, 148346, 92983, 5, 80453, 15533, 16629, 74813, 13159, 292, 1470, 75230, 2702, 80453, 13159, 109226, 4, 1470, 75230, 2702, 155, 80453, 13159, 1211, 7265, 4269, 119718, 21106, 2648, 43649, 155, 53414, 5, 80453, 21292, 41731, 16803, 159696, 292, 4838, 36258, 2702, 155, 506, 75230, 4852, 4, 119055, 10705, 18225, 130170, 46464, 40920, 124724, 37016, 127583, 1211, 5, 22426, 36326, 22426, 48775, 36326, 2050, 4, 112216, 142170, 292, 6, 84577, 2702, 69127, 116367, 4, 80453, 45631, 5, 8300, 5, 8300, 23173, 6, 17645, 11556, 41764, 37016, 6, 63188, 905, 292, 705, 8300, 119718, 710, 97634, 48253, 23269, 16175, 54260, 292, 6, 148346, 12666, 96302, 54260, 5, 10918, 23269, 292, 6, 80453, 54260, 4852, 5, 26394, 46685, 710, 26394, 292, 215031, 6, 56052, 45521, 59919, 5, 26394, 28320, 2451, 8300, 75230, 46053, 292, 129165, 54561, 5, 89930, 22426, 7972, 159696, 292, 6235, 2648, 69127, 7682, 5, 4484, 5, 4484, 40096, 31249, 39340, 292, 119055, 21106, 61397, 506, 39083, 7611, 5, 88660, 148346, 12415, 1211, 292, 3069, 20315, 4484, 4, 1285, 39340, 4, 162726, 16870, 4, 32887, 109636, 4667, 5, 88660, 25207, 6255, 292, 143064, 6255, 5, 88660, 1644, 148346, 59929, 13159, 292, 1054, 63864, 29659, 5, 88660, 5666, 39248, 98071, 35596, 1211, 292, 7265, 29771, 13497, 54260, 1644, 23269, 46685, 2200, 47351, 85858, 4, 192183, 2702, 48775, 506, 172398, 1211, 5, 4484, 23173, 24621, 119718, 29771, 710, 292, 8947, 1211, 4, 84475, 145813, 54260, 4852, 8903, 21295, 5, 73486, 165592, 3131, 54196, 292, 29434, 54260, 16803, 4, 6, 148346, 48775, 119718, 4, 7265, 73486, 165592, 3131, 5, 50931, 37016, 2451, 50931, 92605, 292, 10339, 75230, 16803, 5, 4484, 119718, 218241, 4852, 21106, 148346, 6093, 292, 705, 16580, 57277, 710, 292, 215031, 6, 56052, 1751, 97634, 6293, 15, 76776, 20260, 8580, 4, 57277, 23741, 4113, 194, 16580, 48253, 292, 6, 95494, 29659, 15350, 5, 144581, 119718, 48904, 6093, 6, 148346, 29060, 44478, 1644, 292, 9424, 170355, 48277, 142429, 17645, 4, 199145, 8947, 37826, 6235, 4852, 109226, 26612, 6235, 119718, 710, 101608, 65902, 101296, 59461, 6, 148346, 29060, 44478, 4, 80453, 129071, 7682, 54196, 6235, 119718, 29766, 1211, 9424, 87311, 105330, 21660, 54260, 46053, 3120, 119055, 39083, 127684, 123822, 12130, 5, 144581, 22426, 850, 292, 113044, 850, 4, 60118, 54260, 23269, 4269, 54260, 82576, 5, 4484, 54260, 1211, 3373, 44779, 4, 6319, 54260, 1211, 54745, 4667, 2451, 4484, 54260, 1211, 60837, 31212, 4, 4484, 54260, 1211, 18133, 4667, 292, 56170, 7201, 21106, 1211, 6235, 90848, 8580, 4, 87637, 2205, 119055, 26612, 104238, 6, 23173, 54260, 1211, 5, 75290, 95494, 40920, 292, 9934, 4484, 5666, 29766, 12984, 292, 8248, 22426, 1211, 5, 4484, 99611, 39340, 44779, 2451, 152440, 4852, 126968, 44779, 292, 12023, 4944, 44779, 5, 6, 113889, 4944, 8903, 84316, 63532, 4, 163139, 1285, 80839, 24621, 6, 54260, 35465, 7508, 54260, 35465, 6, 23173, 75230, 2702, 95455, 119055, 99766, 37271, 152440, 4852, 126968, 44779, 2909, 25616, 71577, 1211, 292, 36324, 13845, 107581, 72191, 16175, 54260, 2932, 44779, 4, 29434, 54260, 127892, 4484, 84577, 125897, 4, 6235, 80453, 4113, 2932, 21295, 2205, 151614, 29171, 92500, 6235, 46590, 2882 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7265, 6235, 506, 129071, 4113, 5332, 22426, 1644, 5, 84316, 20616, 148346, 116793, 1369, 25616, 25603, 506, 148346, 1644, 84404, 292, 137377, 26, 8903, 121865, 1211, 4, 120202, 23269, 35044, 21292, 1211, 5, 2442, 5, 68697, 292, 4151, 6, 148346, 23173, 52480, 16932, 3944, 93704, 63188, 25093, 31467, 710, 117260, 63864, 59094, 15289, 21067, 13330, 2451, 3117, 22426, 17727, 5, 12415, 148346, 1644, 39340, 292, 119055, 39083, 37016, 4, 7265, 119055, 13845, 12984, 18225, 159696, 122868, 77188, 6, 159696, 22426, 5, 121865, 1644, 292, 9915, 43082, 5, 25207, 35465, 3120, 364, 75230, 67873, 10339, 59929, 292, 7508, 54260, 35465, 34076, 59929, 95766, 4151, 6, 159696, 75386, 6, 23173, 54260, 1211, 4, 101251, 148346, 26612, 68566, 16747, 13159, 5, 3131, 5, 162756, 1054, 124470, 41387, 850, 292, 10339, 48775, 15388, 2200, 6, 35596, 59919, 1211, 874, 171665, 15662, 56170, 3131, 54260, 2648, 65482, 21776, 7972, 46677, 39293, 64769, 33188, 4, 6, 58082, 41507, 2200, 22426, 59929, 9221, 109226, 4, 199145, 22753, 49008, 56170, 25391, 710, 148346, 1211, 6235, 119718, 29766, 1211, 3120, 84087, 25093, 31467, 12130, 92500, 151614, 148346, 1211, 6, 113889, 133324, 46598, 6235, 5666, 21106, 46053, 4838, 75386, 159696, 2932, 238144, 168155, 3069, 41764, 95564, 171428, 657, 75230, 2882, 220224, 7201, 23173, 3131, 54260, 2648, 65482, 1285, 12130, 5, 29659, 23829, 292, 3523, 23173, 5, 1211, 165513, 218241, 13159, 292, 165284, 4484, 13159, 15, 13159, 7682, 194, 3131, 101608, 4944, 12483, 292, 165284, 39340, 159696, 1211, 4, 6, 71804, 96986, 5, 29659, 3131, 171433, 39083, 710, 13159, 292, 32054, 84577, 1211, 5, 29659, 3131, 64260, 292, 21776, 4944, 43178, 17310, 5, 31249, 15662, 710, 69708, 119718, 506, 22639, 1211, 24012, 182073, 1211, 292, 1285, 199145, 2932, 54260, 12483, 2205, 4838, 32532, 119718, 506, 170355, 4667, 4, 119055, 53414, 42493, 8903, 7511, 182073, 2882, 5, 31249, 710, 23173, 13159, 292, 37640, 13805, 5666, 109636, 1644, 7611, 4, 10184, 13805, 5, 31249, 710, 4944, 101296, 7611, 292, 1157, 9183, 106737, 4, 620, 52480, 2865, 59094, 5, 37460, 292, 4269, 120467, 2702, 6, 113889, 51723, 5, 3131, 2865, 54260, 46053, 27855, 22426, 2702, 5666, 109636, 1644, 7611, 5, 3131, 22426, 21106, 52541, 292, 6, 57277, 109636, 46053, 5, 3131, 22426, 48904, 63188, 6, 148346, 60071, 2882, 2882, 31212, 292, 4838, 6, 148346, 60071, 2702, 2702, 31212, 27909, 4944, 8903, 159696, 148346, 2882, 7265, 24012, 1644, 35189, 23269, 84475, 30473, 1644, 75578, 23269, 45521, 20315, 2050, 5, 609, 5, 124470, 2442, 148346, 850, 292, 120202, 3131, 54260, 4, 30795, 20961, 7611, 4, 43649, 40096, 5, 124470, 144532, 506, 292, 6, 23173, 33104, 16932, 23269, 11556, 5666, 5666, 4, 1470, 75230, 16803, 54260, 1644, 17310, 74, 35189, 4231, 114349, 54260, 54260, 7972, 6, 17645, 50856, 2451, 2442, 7201, 80453, 101328, 29771, 108264, 46053, 4, 199145, 14856, 506, 64260, 6, 148346, 93704, 23173, 23741, 1470, 75230, 2702, 212413, 1211, 4, 6, 23173, 33104, 16932, 101470, 56170, 10676, 110573, 42023, 4, 2200, 199145, 171665, 1644, 90079, 14856, 37826, 8947, 6, 99611, 3523, 13159, 68558, 4, 506, 64260, 18225, 6, 99611, 6235, 2882, 99766, 4151, 69355, 8903, 99611, 1211, 5, 113889, 35044, 29771, 148346, 93497, 6235, 235210, 1644, 18415 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 378, 7146, 12, 1243, 7, 150, 820, 16529, 127, 7049, 916, 56, 268, 378, 1723, 127427, 12, 58020, 268, 378, 211232, 9956, 94940, 12, 90863, 1444, 268, 378, 117772, 80217, 12, 378, 25, 67362, 56, 31731, 4, 241, 179665, 464, 25, 86245, 378, 131514, 15300, 12, 8264, 7, 11406, 16529, 127, 268, 6, 90848, 4852, 4, 119718, 41595, 95455, 19302, 54260, 2648, 109316, 6, 26394, 1982, 212484, 2882, 92500, 1285, 6, 119312, 42493, 11265, 4838, 78956, 4, 34079, 109636, 2882, 4838, 94741, 6, 186145, 97634, 65848, 5, 2451, 6, 225975, 4, 119055, 10705, 506, 8580, 36324, 75230, 56170, 94626, 2932, 54260, 126934, 4, 4838, 94741, 4, 6, 186145, 97634, 65848, 705, 238144, 4852, 2882, 22753, 1470, 75230, 33225, 7508, 75230, 28320, 162726, 75230, 2882, 152, 2451, 33960, 18406, 11211, 16747, 44779, 9721, 37016, 44779, 9721, 75230, 2882, 5, 87637, 16747, 44779, 6319, 119718, 7682, 12483, 17806, 37016, 25603, 7682, 119718, 137218, 28726, 8248, 46685, 22639, 35189, 94626, 4, 2865, 54260, 13497, 8947, 152, 2451, 4838, 94741, 4, 9721, 37016, 44779, 33960, 1982, 4, 238144, 1644, 18133, 151614, 16803, 219047, 88771, 143064, 5, 13458, 37016, 44779, 9721, 75230, 2882, 2200, 292, 41764, 7682, 22426, 7682, 22426, 7682, 5, 87637, 16747, 44779, 57973, 7746, 6, 26394, 25616, 176727, 5, 25391, 54260, 2882, 1285, 67882, 24621, 506, 2884, 230764, 220224, 152, 2451, 67826, 1644, 4, 4151, 364, 68558, 204982, 27702, 50853, 4838, 30109, 54260, 4, 159696, 2882, 1470, 54260, 4667, 220224, 1211, 36324, 163139, 16747, 92500, 238144, 5, 92500, 3069, 6, 93704, 47351, 6, 225975, 2882, 22753, 152, 2451, 3523, 54260, 711, 29771, 75578, 4838, 94741, 6, 71804, 40920, 4151, 69355, 4, 101296, 40920, 7746, 90284, 65442, 230764, 4151, 364, 2884, 5, 45963, 137377, 8903, 22426, 93449, 2200, 120202, 8903, 25616, 41595, 4, 225975, 2882, 220224, 4838, 94741, 152, 2451, 182261, 6093, 657, 176727, 5, 26217, 18415, 4, 9934, 174121, 11211, 16747, 44779, 4, 364, 77188, 119718, 710, 3120, 9721, 75230, 2882, 4838, 6, 104038, 119055, 77188, 5, 506, 77188, 4838, 6, 104038, 4, 364, 77188, 4838, 88911, 69355, 4838, 7508, 54260, 21066, 4, 3120, 4838, 10498, 15435, 4, 69355, 4838, 45223, 7201, 84577, 4, 3120, 4838, 151614, 4852, 4, 69355, 4838, 1751, 75230, 18415, 41764, 44376, 39083, 7611, 113889, 4852, 5, 7972, 35189, 104038, 26, 44779, 6, 59929, 26612, 4667, 506, 64260, 874, 54260, 1211, 16175, 174121, 1470, 75230, 2702, 8903, 236376, 5, 29771, 75578, 11211, 16747, 44779, 4, 292, 199145, 2200, 119055, 6093, 705, 219947, 14856, 657, 176727, 2200, 7243, 14856, 364, 77188, 5, 225975, 2882, 220224, 4838, 48775, 152, 2451, 3523, 54260, 1211, 3056, 3523, 54260, 1211, 4, 159696, 1644, 6255, 3069, 1285, 114955, 4269, 54260, 1211, 5, 65848, 57277, 110129, 4, 6, 186145, 97634, 65848, 4, 93704, 59929, 6, 240863, 3056, 43449, 29771, 16747, 163139, 22753, 5, 2808, 75230, 6293, 4838, 41764, 71804, 710, 4, 7265, 29434, 64260, 56170, 8300, 75322, 2882, 4, 3131, 22426, 159993, 114955, 7746, 2205, 6, 235210, 2648, 5, 1982, 75230, 12483, 67826, 1982, 44779, 4, 193178, 137, 22426, 26612, 21292, 2004, 225975, 2882, 220224, 4838, 94741, 152, 2451, 6255, 151614, 1982, 3523, 54260, 2702, 5 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25391, 54260, 12483, 114955, 152, 2451, 4838, 94741, 4, 6, 238144, 4852, 5, 52688, 2451, 3373, 26, 68313, 3069, 364, 53414, 4, 7243, 3069, 6, 104149, 4, 2702, 26, 68313, 3120, 182261, 2200, 3120, 6235, 159696, 1211, 5, 7972, 35189, 104038, 26, 44779, 6, 59929, 26612, 4667, 506, 64260, 874, 54260, 1211, 16175, 174121, 1470, 75230, 2702, 8903, 236376, 5, 2932, 15907, 7746, 6, 50273, 8580, 1285, 6, 113889, 4852, 4838, 10498, 9221, 152, 2451, 36324, 6428, 54260, 1211, 16175, 174121, 4, 3056, 56170, 124724, 5, 101080, 105330, 43649, 87442, 6, 23173, 75230, 2702, 1285, 9424, 54260, 1211, 152, 2451, 3496, 26, 119718, 15350, 7243, 4, 3373, 68313, 56170, 124724, 6, 21106, 54260, 1211, 5, 92500, 23050, 29771, 9719, 3373, 26, 23269, 59094, 29434, 54260, 2882, 152, 2451, 67882, 4838, 19302, 54260, 2648, 20033, 1470, 75230, 111137, 5666, 54260, 2882, 5, 2932, 15907, 220224, 4838, 94741, 3069, 56170, 29659, 54260, 1211, 165592, 7243, 133190, 56170, 11265, 6, 21106, 54260, 1211, 710, 35189, 104038, 26, 44779, 6, 59929, 26612, 4667, 506, 64260, 11265, 16175, 174121, 1470, 75230, 2702, 8903, 236376, 5, 2451, 36324, 3069, 119718, 120467, 101251, 30473, 80885, 7508, 54260, 2648, 705, 2702, 26, 68313, 56170, 1470, 54260, 4667, 4, 56170, 4, 192544, 92500, 4484, 54260, 2882, 5, 506, 29771, 18406, 114955, 7746, 9424, 48350, 21660, 96256, 75230, 2702, 13342, 506, 53414, 78278, 73784, 158628, 93704, 59929, 6, 104038, 26, 44779, 56170, 220224, 4, 92500, 6235, 4852, 109226, 152, 2808, 54260, 16667, 2200, 9424, 238144, 4, 2702, 26, 68313, 73784, 364, 53414, 4, 7243, 73784, 6, 104149, 4, 2702, 68313, 3120, 182261, 2200, 3120, 6235, 159696, 1211, 5, 5666, 966, 268, 159696, 159696, 24152, 13159, 4113, 163139, 15388, 7746, 7508, 75230, 2882, 73375, 80885, 44779, 2808, 75230, 6293, 9424, 238144, 8903, 44779, 2205, 119718, 15350, 16803, 4, 6, 159696, 119718, 12415, 21733, 4, 1285, 24012, 36419, 44779, 705, 2808, 75230, 6293, 364, 41595, 6093, 131445, 44779, 43649, 54260, 5, 119718, 23173, 23741, 6, 159696, 119718, 12415, 21733, 95455, 6, 37016, 109316, 4, 10069, 9424, 54260, 16747, 44779, 6, 238144, 4852, 2882, 2200, 6, 71804, 40920, 5, 3111, 4, 33960, 1982, 4838, 34076, 29060, 874, 54260, 1211, 564, 37016, 109316, 4, 2932, 16011, 6255, 124724, 220273, 6, 59929, 26612, 4667, 5, 29257, 55242, 16803, 705, 6255, 151614, 1982, 4838, 34076, 37016, 109316, 4, 2702, 68313, 657, 75230, 16932, 22753, 1644, 75578, 238144, 2702, 5, 1644, 165592, 132025, 97634, 1211, 230764, 6428, 54260, 1211, 6, 37016, 109316, 4, 159696, 2882, 65902, 183216, 1470, 75230, 33225, 1470, 54260, 4852, 5, 5666, 29766, 6, 159696, 119718, 12415, 21733, 7265, 10184, 36419, 44779, 35189, 25391, 87442, 7746, 2200, 4838, 177282, 75230, 23741, 5, 10705, 112304, 34533, 36324, 75230, 46590, 24012, 36419, 44779, 85465, 200117, 6255, 364, 54260, 13497, 132025, 8903, 4484, 75230, 23741, 5, 1065, 1054, 4, 3131, 75230, 96986, 41764, 44376, 39083, 7611, 22426, 44376, 39083, 7611, 4, 1751, 23173, 59919, 1751, 113889, 17160, 22426, 7682, 4, 68313, 6, 130991, 364, 54260, 13497, 98252, 5, 39293, 16803, 4, 1285, 147582, 8903, 44779, 7369, 119055, 23173, 23741, 4, 3131, 113889, 17160, 37826, 7369, 132025, 8903, 3131, 23173 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23741, 2808, 75230, 6293, 4838, 43649, 54260, 1211, 27702, 2050, 16175, 54260, 4667, 2205, 119055, 21106, 2648, 4, 159696, 2882, 7369, 182261, 6093, 41764, 133671, 27702, 50853, 5, 22426, 44376, 39083, 7611, 37826, 4838, 564, 75230, 2050, 73784, 3523, 105330, 3131, 75230, 1211, 6235, 17268, 49008, 4, 292, 41764, 93449, 7369, 4, 41764, 7682, 711, 2808, 75230, 18406, 4, 2190, 198093, 4, 27702, 4151, 220224, 2882, 4, 2882, 32097, 2205, 564, 75230, 2050, 10676, 1751, 113889, 17160, 9915, 54260, 2648, 2882, 5, 3131, 75230, 18415, 41764, 44376, 39083, 7611, 4, 199145, 3056, 95455, 705, 159696, 16803, 145115, 2442, 71577, 12483, 7746, 1285, 6, 113889, 4852, 4, 159696, 67873, 10339, 54260, 8903, 44779, 2205, 3523, 90848, 4852, 71804, 12984, 152, 2451, 55242, 6, 76776, 4, 41764, 44376, 39083, 7611, 113889, 4852, 5, 13497, 2050, 4484, 119718, 15907, 95494, 1751, 29771, 6293, 4, 4838, 6, 147455, 4, 4838, 115222, 22849, 109316, 4, 95766, 23050, 16803, 4838, 41764, 710, 34709, 1751, 159696, 22849, 109316, 4, 95766, 4269, 90848, 4852, 4838, 1751, 80453, 23174, 6093, 8300, 119718, 15907, 86733, 292, 92500, 205026, 22444, 23741, 67882, 24621, 6319, 119718, 15907, 86733, 1644, 5, 418, 702, 10114, 78683, 15907, 56170, 3131, 54260, 2882, 50273, 8580, 10676, 10339, 142429, 46598, 12023, 16747, 2882, 92500, 23050, 29771, 9719, 22518, 54260, 2882, 5, 2702, 26, 2442, 54260, 16803, 6, 23173, 75230, 2702, 4151, 163139, 13497, 10705, 16747, 168155, 7508, 75230, 28320, 6, 78683, 15907, 5, 78683, 15907, 4, 6, 78683, 15907, 4, 169550, 6, 78683, 15907, 4, 1982, 34533, 6, 94741, 4667, 5332, 22426, 13159, 7243, 6319, 54260, 1211, 657, 54260, 2882, 5, 95766, 4151, 364, 54260, 4667, 6, 26394, 119718, 176727, 506, 64260, 7746, 169550, 6, 78683, 15907, 5, 159696, 2442, 37826, 70845, 74806, 7682, 116812, 710, 12483, 36324, 75230, 6, 238144, 2882, 705, 78683, 15907, 4, 6, 78683, 15907, 4, 169550, 6, 78683, 15907, 119718, 39083, 4484, 16667, 159308, 145813, 45631, 9424, 79238, 5666, 54260, 2648, 2882, 5, 5666, 29766, 18133, 46654, 34533, 2200, 46654, 34533, 4, 506, 59929, 2882, 4269, 23173, 7243, 6319, 54260, 1211, 9424, 54260, 2882, 4, 3131, 75230, 1211, 27702, 2050, 11211, 17017, 564, 34533, 4, 2442, 75230, 16932, 4, 620, 91595, 6093, 6, 78683, 15907, 5, 78683, 15907, 4, 6, 78683, 15907, 4, 169550, 6, 78683, 15907, 4, 1982, 34533, 163139, 6255, 56170, 3131, 54260, 2882, 5, 78683, 15907, 292, 4838, 147582, 6093, 5, 4838, 10339, 71577, 9221, 65482, 620, 48904, 2932, 418, 201, 66293, 218241, 97634, 75578, 29659, 15350, 95494, 4, 6, 95494, 29659, 15350, 4, 6, 95494, 3131, 29766, 4667, 4, 1751, 75230, 1211, 711, 4944, 26, 115518, 6, 218241, 97634, 75578, 4, 77208, 3120, 8248, 46685, 4, 1644, 54260, 2932, 6255, 620, 29771, 55823, 1211, 76961, 6, 73906, 51723, 4, 119718, 23173, 6293, 6255, 4269, 39083, 2648, 230764, 9424, 238144, 2932, 2200, 564, 75230, 2050, 5, 159696, 1211, 119718, 10705, 73418, 73418, 4, 163139, 177282, 6, 238144, 2882, 4, 4944, 26, 115518, 6, 218241, 97634, 75578, 4, 3496, 159696, 1644, 56170, 1982, 213783, 159696, 2932, 2200, 6, 105235, 2932, 7265, 6235, 28726, 6, 130929, 16932, 92500, 7265, 2190, 107182, 123329, 32054 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 2648, 5, 21066, 52349, 4, 6, 75230, 8300, 119718, 4231, 21847, 21066, 54260, 2882, 4, 4944, 26, 115518, 6, 218241, 97634, 75578, 4, 2205, 118473, 141847, 13159, 3131, 7682, 6255, 10339, 54260, 21847, 3944, 35189, 6, 199511, 4, 5666, 54260, 6235, 170355, 23405, 56170, 192544, 92500, 4484, 54260, 2882, 27, 71, 14004, 26394, 28726, 22426, 31623, 109316, 14004, 26394, 28726, 22426, 31623, 109316, 4, 2808, 75230, 33225, 6319, 137377, 4838, 874, 31623, 109316, 4, 2808, 75230, 33225, 364, 21106, 2648, 4852, 4838, 34076, 37016, 109316, 4, 95766, 4838, 7508, 75230, 28320, 21776, 4484, 109316, 4, 144754, 9424, 73381, 7972, 146873, 55242, 39340, 44779, 4, 292, 119718, 710, 4151, 8248, 46685, 97634, 2932, 3056, 6, 71804, 23405, 2932, 54260, 2882, 7369, 40611, 2200, 19302, 23174, 2882, 19302, 23174, 21733, 48904, 2932, 5, 2808, 75230, 33225, 6, 94741, 4667, 4838, 16175, 54260, 1982, 109316, 4, 95766, 4151, 1751, 104855, 4838, 1751, 54260, 1982, 109316, 5, 14004, 26394, 28726, 22426, 31623, 13845, 65482, 63532, 4838, 43649, 54260, 1211, 4838, 145813, 31623, 109316, 4, 119718, 23173, 23741, 8947, 148620, 16175, 54260, 1982, 109316, 4, 186145, 23741, 7369, 148620, 1751, 54260, 1982, 109316, 4, 1982, 26612, 8300, 29771, 73375, 165592, 2932, 4, 78956, 165592, 113889, 1982, 26612, 7611, 4, 3131, 80453, 23174, 2882, 6, 23173, 75230, 2702, 4838, 1751, 119718, 23173, 26394, 6, 78683, 7611, 5, 7511, 2882, 4838, 1751, 80453, 17310, 95455, 6319, 21660, 109316, 4, 14004, 26394, 1644, 12483, 4838, 30109, 21660, 109316, 4, 57277, 39340, 133190, 4838, 21374, 26394, 28726, 5, 14004, 26394, 28726, 22426, 710, 26394, 147713, 15907, 4838, 119055, 29766, 6293, 95455, 43649, 37016, 109316, 4, 2442, 37016, 109316, 2200, 34076, 37016, 109316, 4, 212484, 2882, 7746, 657, 75230, 33225, 7265, 4838, 85658, 22426, 92500, 73095, 21422, 16932, 2882, 70845, 4838, 3944, 22426, 5, 5666, 423, 71804, 40920, 1285, 6, 78683, 7611, 3120, 9213, 26394, 1644, 12483, 152, 39293, 126934, 4, 217247, 4, 182261, 6, 21106, 54260, 1211, 705, 5666, 29766, 4838, 6319, 48775, 7611, 4, 4838, 29434, 71577, 109316, 4, 1644, 75230, 17748, 34079, 4838, 56170, 8300, 71577, 1644, 16932, 6, 5, 6, 5, 6, 5, 92500, 4838, 16175, 75230, 1982, 4838, 46654, 40096, 6093, 10125, 29771, 126934, 143064, 3069, 67882, 16932, 1211, 4, 23269, 2865, 16803, 4838, 43649, 54260, 47526, 2200, 18133, 119055, 23173, 17748, 2882, 4, 292, 36326, 51723, 119055, 39083, 126934, 7746, 6235, 2648, 23173, 23741, 5, 225975, 2882, 73784, 115222, 34709, 1470, 31623, 109316, 152, 2451, 6, 107581, 4113, 1751, 75230, 1211, 6, 57277, 39340, 182261, 6, 21106, 54260, 1211, 165592, 73095, 3056, 7243, 72577, 36324, 75230, 159696, 1211, 4838, 22639, 21847, 6, 105515, 36324, 75230, 5, 4944, 26, 13458, 141847, 1751, 75230, 1211, 99509, 4113, 55242, 39340, 44779, 75290, 16747, 44779, 2200, 9721, 37016, 13845, 44779, 4, 292, 2882, 75230, 18406, 4, 10339, 54260, 8903, 44779, 2205, 23050, 16803, 4, 5666, 40096, 1470, 54260, 4667, 76961, 4, 19302, 54260, 47332, 2200, 6, 119273, 5, 1662, 13342, 123736, 18279, 17741, 506, 26, 1211, 26612, 7213, 6293, 37826, 4838, 94741, 1470, 75230, 2702, 8903, 87311, 21295, 4, 144754, 76961, 2442, 1644, 54260, 6319, 39083, 52541, 4, 144754 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7508, 75230, 2882, 2200, 6, 195054, 4, 7265, 43449, 29771, 2200, 4269, 39083, 2648, 4, 292, 119718, 10705, 119055, 29060, 1285, 7213, 6293, 22753, 6, 215629, 705, 20315, 2050, 6, 448, 6, 23173, 88680, 4, 3069, 4151, 43649, 64260, 119718, 10705, 3373, 26, 28726, 47332, 1285, 191795, 30750, 12065, 506, 5, 2451, 123736, 4, 7213, 6293, 4, 29434, 54260, 6, 57277, 2932, 92500, 76776, 40920, 6428, 54260, 1211, 7508, 29766, 92500, 657, 79238, 42493, 1470, 75230, 2702, 6428, 54260, 1211, 10339, 54260, 6093, 5, 10069, 191795, 30750, 17741, 506, 119055, 23173, 2882, 27702, 2050, 1751, 159696, 71804, 163139, 13497, 6093, 2200, 4838, 8248, 46685, 5, 2451, 123736, 4, 33960, 1982, 7746, 4, 7213, 6293, 4, 2205, 6, 448, 4838, 43649, 13845, 119718, 120467, 33960, 104238, 132025, 13342, 104378, 5, 5666, 11703, 5, 75578, 109316, 9585, 75578, 109316, 3056, 6, 23173, 75230, 2702, 3120, 133190, 4113, 92500, 4151, 104149, 292, 1285, 6, 159696, 21295, 4838, 19302, 29766, 4113, 5, 39293, 56169, 7746, 6, 75578, 109316, 230764, 1285, 43649, 54260, 59461, 2808, 75230, 2702, 13342, 21847, 54260, 12984, 7746, 1285, 564, 54260, 59461, 92500, 4838, 564, 68550, 160204, 152, 28317, 905, 73418, 19084, 5, 3131, 218241, 1644, 12483, 564, 54260, 46685, 7265, 1285, 9424, 238144, 15388, 152, 30750, 101608, 4, 6, 75578, 109316, 4, 170479, 16803, 1751, 238144, 15388, 4, 159696, 16803, 1285, 10339, 54260, 8903, 44779, 4151, 25391, 37016, 1211, 92500, 1285, 17288, 39293, 44779, 1470, 75230, 7201, 159696, 38249, 5, 29771, 75578, 6, 75578, 109316, 4151, 90284, 46685, 225975, 2882, 152, 2451, 292, 6255, 163139, 1644, 7243, 220224, 1211, 165284, 46685, 5, 92500, 7369, 9721, 177148, 6, 21106, 7611, 152, 28317, 77525, 19084, 5, 165592, 26612, 6, 75578, 109316, 4838, 90284, 46685, 4852, 39083, 220273, 230764, 4151, 6, 159696, 21295, 7243, 6, 104378, 5, 1065, 3117, 5, 1644, 37016, 13456, 6, 75578, 165592, 133190, 7369, 6, 238144, 13497, 119718, 710, 166464, 3056, 6, 71804, 23405, 5, 10069, 67882, 24621, 874, 54260, 13497, 165592, 7369, 3056, 6319, 48775, 20260, 5, 35189, 6319, 137377, 6, 105515, 6, 238144, 69355, 220224, 1211, 6235, 25391, 54260, 5, 29257, 129165, 2932, 16803, 125523, 119055, 6093, 705, 35189, 657, 37016, 13456, 6, 75578, 5, 2451, 163139, 1644, 16803, 8947, 1211, 4, 6, 75578, 705, 6093, 9585, 506, 36609, 152, 2451, 3523, 54260, 5666, 49209, 5, 2451, 6, 76776, 4, 163825, 44779, 118473, 92500, 220224, 6, 21106, 54260, 1211, 5, 6093, 6, 225975, 2882, 11265, 152, 2451, 3523, 74612, 92500, 6, 238144, 16932, 292, 85658, 22426, 5, 6093, 6, 238144, 13497, 125523, 28415, 4, 35189, 657, 37016, 13456, 6, 75578, 5, 5666, 1039, 10114, 68313, 199145, 119055, 29060, 220224, 1211, 705, 10069, 67882, 24621, 620, 4113, 22426, 2882, 92500, 204982, 70845, 1470, 54260, 1211, 165592, 26612, 21776, 26394, 22426, 2882, 5, 6093, 204982, 4838, 10339, 21106, 152, 2451, 3373, 68313, 29572, 16932, 4269, 21106, 5, 92500, 6, 238144, 13497, 125523, 28415, 4, 35189, 657, 37016, 13456, 6, 75578, 5, 5666, 6460, 268, 88660, 16932, 6, 88660, 16932, 88660, 16932, 4, 6, 88660, 16932, 4, 1470, 75230, 15388, 17824, 71512, 4, 119718, 120467, 3056, 95455, 22639, 144754, 1211, 29434, 710 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49008, 705, 506, 64260, 7746, 132025, 8903, 97634, 1211, 4838, 21374, 21338, 4, 144754, 4838, 45521, 35189, 148620, 11211, 21338, 4, 144754, 4838, 6319, 39083, 59461, 215031, 9721, 54260, 28320, 92500, 4838, 16888, 22426, 35044, 99509, 7265, 6319, 238144, 28320, 4, 144754, 4838, 1285, 96302, 114436, 46440, 39340, 4, 2702, 26, 23269, 59094, 220224, 16667, 3056, 163139, 4838, 41764, 15350, 39340, 92500, 1285, 6, 159696, 194734, 44779, 163139, 29434, 29060, 44779, 5, 292, 1982, 34533, 81444, 4667, 4, 6, 88660, 16932, 4, 36324, 75230, 45521, 2882, 44779, 4, 165592, 18133, 6319, 172398, 2882, 7746, 6319, 75230, 2050, 36324, 3131, 7508, 52541, 4, 119718, 15533, 17645, 6, 159696, 126934, 3523, 54260, 1211, 145813, 26612, 138194, 1211, 705, 268, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 7201, 23173, 1644, 54196, 1285, 1751, 23173, 55823, 6, 113889, 55546, 5, 144754, 199145, 4852, 36326, 119055, 29060, 7369, 3523, 54260, 12483, 26612, 19302, 54260, 2648, 109316, 56170, 1157, 506, 26, 1211, 705, 6093, 6, 105515, 6, 68558, 1285, 145813, 26612, 50931, 1211, 92500, 22518, 54260, 2882, 152, 2451, 364, 77188, 230764, 3069, 18133, 67873, 5, 168892, 8248, 4667, 1751, 75230, 1211, 3120, 27702, 25222, 49008, 92500, 42542, 22753, 7243, 6235, 7916, 49008, 5, 2451, 18133, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 4, 29257, 364, 186955, 16803, 2205, 6, 71804, 7611, 1285, 6, 113889, 55546, 4, 26612, 10918, 16747, 6319, 43178, 126934, 1751, 75230, 1211, 3523, 54260, 12483, 26612, 19302, 54260, 2648, 109316, 56170, 1157, 506, 26, 1211, 5, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 26394, 201237, 2882, 7746, 152, 2451, 16175, 9221, 23173, 29766, 1644, 5, 26612, 9915, 54260, 35189, 1644, 4838, 6, 201237, 6093, 26394, 29659, 91595, 7746, 27702, 50853, 10676, 6, 223390, 6093, 5, 20260, 71577, 36609, 4838, 10918, 16747, 95455, 3523, 54260, 12483, 26612, 19302, 54260, 2648, 109316, 56170, 1157, 506, 26, 1211, 5, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 26394, 13458, 91595, 56170, 3496, 13159, 1285, 6, 113889, 55546, 5, 35189, 9915, 54260, 35189, 67882, 40920, 6235, 25391, 54260, 12483, 2808, 75230, 6293, 67882, 51723, 2200, 230764, 1157, 506, 26, 1211, 5, 144754, 657, 71577, 4484, 13159, 620, 4113, 22426, 2882, 6428, 59929, 115222, 34709, 20315, 2050, 10339, 142429, 46598, 133454, 19302, 21660, 1644, 5, 5666, 1381, 10114, 13458, 54260, 21338, 13458, 75230, 125830, 68313, 6, 75322, 39083, 6235, 159696, 1211, 4838, 9721, 54260, 21338, 292, 506, 21106, 1982, 4151, 1982, 92605, 1211, 4, 364, 21106, 1982, 56170, 13458, 35596, 292, 1644, 176727, 95455, 9721, 54260, 21338, 148620, 19302, 54260, 21338, 219947, 3069, 6, 101470, 2205, 1285, 364, 35596, 5, 104378, 3120, 56170, 94626, 1285, 6, 186578, 4, 24621, 6, 26394, 4944, 71577, 2882, 95455, 9721, 75230, 2882, 4, 14856, 235466, 13458, 54260, 2882, 44779, 1470, 75230, 2702, 8903, 1982, 92605, 1211, 2451, 13458, 75230, 23269, 4, 5666, 29766, 95455, 1470, 54260, 23269, 657, 54260, 98833, 56170, 36326, 63532, 5, 76776, 40920, 10339, 186955, 3069, 5, 7265, 6319, 21106, 18415, 6, 113889, 55546, 12483, 29659, 91595, 4151, 32054, 120467, 2882, 4, 163139, 364, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101608, 22518, 75230, 2882, 5, 101296, 24621, 7213, 20911, 2205, 19302, 54260, 21338, 151614, 55546, 12483, 4484, 75230, 33225, 6, 186955, 8903, 1982, 92605, 1211, 9721, 75230, 2882, 5, 95766, 4838, 1751, 23173, 21066, 1470, 54260, 5666, 8903, 119718, 7682, 21295, 506, 64260, 7746, 151614, 55546, 6319, 75230, 2050, 4151, 3131, 28726, 22426, 2882, 5, 2451, 204982, 4838, 9721, 54260, 21338, 56170, 4838, 24012, 21733, 5, 292, 92500, 98252, 6, 23173, 75230, 6293, 1285, 6, 186145, 22426, 5, 2451, 67882, 24621, 4, 55242, 163139, 17824, 75230, 2702, 4, 4838, 17190, 17160, 79761, 160751, 48775, 40920, 56170, 10184, 23269, 6293, 3373, 35596, 5, 4852, 42733, 56169, 1285, 67882, 24621, 152, 2451, 6, 101328, 4, 874, 54260, 1211, 98478, 4, 506, 21106, 1982, 4151, 1982, 92605, 1211, 4, 364, 21106, 1982, 56170, 13458, 35596, 5, 418, 1702, 10114, 5666, 29766, 1285, 1751, 159696, 82576, 2200, 1285, 78956, 35189, 4852, 171428, 36324, 3131, 3120, 32054, 54260, 2648, 9424, 73381, 71804, 63532, 5, 13159, 1211, 7508, 54260, 55823, 44779, 9721, 75230, 2882, 7265, 3944, 35189, 152, 2451, 9721, 54260, 21338, 13458, 75230, 2882, 4, 18133, 564, 34533, 27702, 57277, 63532, 5, 2702, 26, 506, 29771, 18406, 114955, 9934, 40096, 6235, 2932, 65482, 56169, 92500, 6, 195054, 54260, 98833, 7746, 620, 29771, 33225, 40026, 5, 17268, 119132, 9721, 54260, 13845, 4, 292, 133190, 4838, 41764, 65482, 7611, 4, 292, 506, 64260, 6, 195054, 75230, 40920, 1211, 7265, 4838, 115825, 5, 16580, 83182, 620, 29771, 33225, 1470, 54260, 5666, 8903, 13982, 54260, 18415, 92500, 4151, 41764, 65482, 7611, 657, 75230, 40920, 2200, 43449, 141943, 2882, 5, 292, 2702, 26, 68313, 6, 75322, 39083, 6235, 159696, 1211, 4838, 9721, 54260, 13845, 4, 506, 21106, 1982, 4151, 1982, 92605, 1211, 4, 364, 21106, 1982, 56170, 13458, 35596, 5, 5666, 138, 10114, 87637, 177282, 119718, 41595, 122868, 54260, 2882, 4838, 11211, 177282, 230764, 4151, 4269, 59929, 4, 506, 26612, 119718, 39340, 2882, 6, 68558, 6, 47351, 2190, 29111, 6093, 5, 2451, 11211, 177282, 119718, 41595, 1644, 4, 11211, 177282, 564, 59929, 4, 292, 85465, 200117, 6255, 70845, 6235, 225164, 4, 292, 4944, 26, 238144, 2702, 6, 90848, 4667, 564, 34533, 4838, 72577, 6093, 364, 26612, 119718, 39340, 4, 119718, 120467, 4852, 36326, 6428, 23173, 17748, 34079, 43649, 188301, 364, 26612, 119718, 165354, 705, 5, 5666, 2681, 5, 21066, 710, 138763, 35596, 2451, 1285, 364, 35596, 44779, 21923, 27702, 124724, 6319, 186955, 4, 35189, 119718, 23173, 46598, 220224, 27702, 2050, 7508, 93704, 137218, 16932, 5, 5666, 29766, 4838, 94741, 1751, 159696, 47332, 4838, 68550, 9424, 79238, 23822, 186955, 92500, 163139, 4838, 10339, 54260, 8903, 28726, 22753, 46654, 40096, 77188, 5, 2451, 3496, 26, 85465, 200117, 147582, 21847, 4, 67882, 24621, 4, 7243, 6319, 54260, 1211, 364, 35596, 4, 10069, 6, 119312, 4151, 119718, 23173, 63593, 2882, 220224, 2205, 147582, 12483, 5, 292, 92500, 4838, 94741, 204982, 4838, 1751, 159696, 1982, 4, 4838, 43449, 141943, 152, 2451, 123736, 4, 874, 75322, 109316, 4, 220224, 78956, 12483, 711, 92500, 4838, 94741, 37826, 1285, 364, 35596, 9424, 79238, 80453, 54260, 2882, 4, 26394, 21066, 40096, 77188, 220224, 4, 292, 6, 64260, 27702, 50853, 4, 4838 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 147582, 80264, 711, 10069, 67882, 24621, 3496, 71577, 2882, 22753, 6, 47351, 7265, 32054, 54260, 4667, 152, 2451, 2200, 205026, 119055, 6093, 119055, 29060, 81444, 364, 161577, 705, 2451, 3496, 26, 159696, 1644, 6, 104378, 1751, 109636, 16932, 4, 27702, 50853, 4, 98252, 4, 119718, 710, 3373, 26, 4484, 177148, 2205, 23050, 16803, 6, 23173, 54260, 1211, 4838, 10339, 75230, 21847, 5, 92500, 364, 35596, 44779, 37826, 22753, 364, 75230, 1211, 6, 26394, 119718, 176727, 144754, 3069, 8903, 101296, 4944, 18415, 1470, 75230, 15388, 5, 5666, 2789, 10114, 39293, 13805, 2190, 12483, 9424, 12483, 2808, 54260, 1211, 874, 39083, 133190, 151614, 1982, 6255, 6235, 104149, 1285, 657, 55787, 4, 2808, 54260, 1211, 874, 21106, 37826, 22753, 205026, 6235, 104149, 5, 4944, 26, 115518, 182261, 6093, 55242, 13805, 4, 292, 119055, 29060, 22753, 205026, 4151, 88660, 49008, 4113, 12483, 6255, 119055, 13845, 6, 186955, 119055, 53414, 9424, 12483, 705, 2702, 26, 506, 64260, 1285, 657, 55787, 6235, 97634, 1211, 20033, 4838, 10498, 54260, 10813, 92500, 4, 6, 48775, 40920, 7746, 4, 5332, 22426, 13159, 6, 238197, 5, 1982, 26, 85465, 200117, 7265, 4151, 364, 84577, 6235, 119718, 39083, 2882, 22753, 4151, 23847, 54260, 12984, 4, 506, 64260, 22753, 23050, 4852, 29771, 13497, 152, 2451, 67826, 1644, 4, 14856, 215594, 5, 2702, 16, 506, 64260, 20033, 4838, 192556, 6235, 225975, 2882, 1285, 657, 55787, 4, 159696, 1211, 3496, 26, 85465, 200117, 22753, 1470, 54260, 1211, 874, 39083, 6235, 104149, 4, 4944, 26, 159696, 1644, 7746, 4838, 119718, 93704, 4113, 10676, 192556, 125523, 4151, 87311, 49008, 51723, 6255, 119055, 13845, 6, 186955, 119055, 53414, 9424, 12483, 5, 268, 9719, 195054, 37016, 31623, 13845, 21660, 71512, 28726, 117397, 109316, 6, 88660, 15231, 20260, 43178, 54260, 2882, 4838, 68550, 4838, 43449, 64260, 125897, 4, 4484, 21660, 13845, 37016, 21660, 109316, 7508, 75230, 15231, 20260, 43178, 54260, 2882, 4838, 68550, 4838, 6319, 75230, 46545, 4113, 5, 4944, 26, 159696, 1644, 4838, 6, 78683, 2050, 2200, 119055, 59929, 6093, 6, 101470, 92500, 220224, 119055, 26612, 81829, 2200, 56170, 39340, 51723, 5, 758, 2882, 174121, 97634, 18415, 26612, 16175, 174121, 27702, 2050, 6, 57277, 28320, 3056, 16175, 174121, 4, 26612, 67882, 24621, 27702, 2050, 6, 57277, 28320, 3056, 6, 87311, 24621, 4, 23269, 112593, 28320, 9934, 62067, 7369, 4, 7243, 160751, 90848, 28320, 4, 26612, 112216, 101608, 27702, 70845, 3056, 4838, 6319, 75322, 29789, 5, 3111, 129165, 2932, 6255, 70845, 152, 2451, 16175, 174121, 4, 21422, 16175, 174121, 4, 7201, 23173, 119718, 120467, 170479, 126934, 220264, 7265, 17824, 54260, 56880, 705, 225975, 16803, 17806, 16932, 4, 4838, 29659, 54260, 61397, 4, 7243, 6, 88660, 16932, 4, 92500, 36324, 1211, 6, 225975, 126934, 4, 2200, 7243, 1470, 54260, 56880, 5, 35189, 8300, 54260, 21295, 20033, 4151, 16175, 174121, 4838, 6, 104038, 69355, 6, 61541, 35189, 4, 3120, 1751, 29771, 6293, 2200, 3120, 17190, 46685, 4, 69355, 6, 92605, 53414, 4, 9915, 54260, 35465, 2200, 7508, 54260, 46053, 4, 69355, 6, 119312, 199145, 14856, 27855, 22426, 2882, 7265, 1285, 37922, 93497, 5, 95766, 6, 212394, 4, 119055, 10705, 3373, 26, 68313, 16175, 174121, 160751, 75230, 61621, 4, 219947, 29771, 3056, 6319, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 10213, 48974, 2200, 6319, 54260, 1211, 6, 97634, 67873, 4, 26612, 564, 75230, 2050, 6428, 99766, 2205, 45521, 50853, 119055, 77188, 56170, 1644, 75230, 61621, 4, 69355, 21776, 15388, 119055, 77188, 1751, 119718, 23173, 89930, 2648, 74806, 119718, 39083, 1211, 5, 35189, 7201, 23173, 95298, 364, 75230, 20315, 1211, 7746, 9721, 75230, 28320, 4, 119718, 710, 114955, 7265, 57906, 2648, 65482, 115222, 22426, 44779, 4, 92500, 21422, 8903, 44779, 145813, 12415, 183216, 230764, 162726, 75230, 28320, 144754, 10213, 38054, 44779, 56170, 21066, 29771, 40920, 1211, 2205, 6, 26394, 22426, 44779, 5, 1065, 4039, 5666, 29766, 163139, 198093, 4, 36324, 3373, 26, 506, 54260, 18406, 6, 68558, 364, 55990, 12483, 4, 1982, 26612, 234221, 7746, 115374, 2205, 43649, 88680, 92500, 115222, 22849, 44779, 3069, 115222, 22849, 44779, 7746, 33718, 7972, 12483, 92500, 3373, 26, 10918, 16932, 1211, 114955, 2205, 10184, 75578, 5, 29771, 506, 29771, 4, 30109, 4113, 4944, 64213, 163139, 198093, 2200, 21776, 159696, 1211, 4, 92500, 10498, 54260, 46053, 7265, 21776, 15388, 2200, 43449, 64260, 4113, 4, 292, 35189, 7201, 23173, 37826, 4151, 16175, 174121, 4838, 99531, 13342, 6, 225975, 1211, 7243, 16175, 174121, 4, 133190, 16175, 174121, 5, 25491, 200117, 13159, 3944, 40920, 1982, 29771, 30750, 235466, 4838, 1751, 159696, 1982, 109316, 2200, 21422, 16747, 21338, 710, 40920, 292, 1470, 54260, 16667, 4, 9424, 238144, 4, 29434, 54260, 4, 83066, 5, 53521, 2808, 37826, 22753, 36324, 4151, 163139, 13497, 17268, 119132, 45521, 57619, 16932, 4, 3120, 4151, 16175, 9221, 159696, 2882, 4838, 564, 212484, 160204, 101251, 8903, 120749, 92500, 56170, 28726, 81829, 11265, 4113, 3944, 40920, 5, 101296, 40920, 22753, 3069, 1285, 45521, 57619, 16932, 4, 78104, 55451, 1211, 95455, 41764, 12130, 11265, 2702, 56170, 105235, 21295, 5, 26612, 4667, 4, 163139, 564, 54260, 20315, 4, 6255, 7265, 11265, 4, 25207, 35465, 241662, 6, 68558, 4838, 6, 159696, 21295, 5, 92500, 1285, 46654, 63593, 44779, 292, 10339, 71804, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 47833, 1054, 53414, 43449, 29771, 5, 21733, 54260, 1211, 2200, 43449, 54260, 4667, 4151, 191795, 1982, 13159, 364, 35596, 4, 2808, 54260, 23405, 37016, 5666, 54260, 2882, 29659, 230764, 220224, 1285, 364, 75230, 2882, 4, 5666, 29766, 11265, 41764, 12130, 4, 6, 94741, 40920, 7746, 4, 9721, 35596, 92500, 4151, 3523, 48775, 6093, 6319, 137377, 3056, 7508, 75230, 2882, 5, 92500, 1285, 46654, 63593, 44779, 292, 10339, 71804, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 119055, 53414, 43449, 29771, 5, 2808, 168892, 2200, 191795, 30750, 292, 230764, 1285, 119055, 35596, 3131, 218241, 1644, 12483, 7746, 2200, 119055, 53414, 17824, 75230, 2702, 5, 10069, 3069, 5666, 75230, 111137, 1644, 54260, 194734, 185182, 48253, 80453, 54260, 28320, 7746, 2205, 4269, 48904, 64213, 364, 75230, 4852, 5, 92500, 1285, 46654, 63593, 44779, 292, 10339, 71804, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 2200, 119055, 53414, 43449, 29771, 5, 1982, 29771, 30750, 11265, 4113, 364, 35596, 9424, 65482, 63532, 4, 1644, 75230, 40920, 95455, 41764, 12130, 11265, 2702, 2200, 43449, 141943, 2882, 5, 2451, 4838, 20632, 2882, 65307, 5, 2451, 4838, 20632, 2882, 4231, 29766, 5, 292, 17494, 29659, 22753, 874, 54260, 23269, 43449, 171433 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20315, 364, 29766, 5, 92500, 1285, 46654, 63593, 44779, 292, 46654, 29771, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 2200, 119055, 53414, 43449, 29771, 5, 8894, 104038, 7265, 4838, 7508, 54260, 35189, 364, 75322, 6093, 19302, 71577, 2882, 4, 95455, 1470, 54260, 56880, 4269, 69181, 92500, 37640, 20260, 12483, 145813, 12415, 64213, 163139, 4838, 1751, 80453, 54260, 5, 26612, 7508, 54260, 6293, 37826, 7213, 51723, 1470, 75230, 2702, 8903, 186565, 2648, 2882, 92500, 132025, 8903, 225975, 2882, 152, 2451, 874, 54260, 1211, 7508, 54260, 21066, 4, 4269, 54260, 5, 26394, 4484, 54260, 205131, 7746, 230764, 6, 159696, 2932, 2200, 620, 137218, 4667, 10069, 7508, 54260, 6293, 292, 3069, 10339, 21106, 12483, 95455, 160751, 64260, 5, 1982, 15533, 1470, 54260, 5666, 2865, 39083, 2205, 4838, 34072, 83182, 6, 76776, 40920, 35189, 506, 77188, 1285, 7508, 54260, 6293, 152, 36419, 41764, 71804, 56169, 4838, 7508, 29766, 5, 95766, 21776, 15388, 4, 43449, 64260, 4113, 4, 115222, 21295, 2200, 163139, 13497, 17160, 54260, 47332, 43649, 54260, 1211, 4838, 45521, 38054, 6, 47351, 1470, 75230, 2702, 8903, 2648, 23173, 125830, 4, 69355, 6, 113889, 4852, 192956, 2442, 1751, 226112, 63532, 564, 137119, 2200, 7508, 41595, 92500, 119055, 77188, 2205, 43449, 64260, 4113, 6319, 186955, 2200, 1751, 119718, 23173, 7611, 5, 35189, 119055, 29771, 15388, 564, 54260, 98833, 7746, 4, 292, 64260, 7369, 22753, 185226, 711, 23173, 14088, 7243, 29771, 6319, 54260, 1211, 67826, 1982, 44779, 4, 364, 54260, 6293, 5, 20315, 2050, 115556, 16667, 30109, 4113, 4944, 7611, 1285, 6, 76776, 40920, 56170, 3131, 164461, 2882, 152, 2451, 119055, 10705, 235466, 18225, 4, 45521, 38054, 874, 54260, 16667, 4, 182261, 4838, 7508, 54260, 6293, 705, 1065, 4828, 10114, 8903, 7916, 33716, 37826, 115556, 56170, 6, 238144, 1982, 2200, 192544, 144754, 32054, 54260, 2648, 2200, 7544, 79950, 54260, 2882, 2205, 160751, 54260, 1211, 2648, 120467, 9721, 75230, 2882, 199145, 7369, 37826, 364, 54260, 13497, 56170, 2648, 41595, 4, 2648, 120467, 9721, 75230, 2882, 56170, 364, 17310, 6093, 125897, 9424, 54260, 1211, 5, 6093, 6, 238144, 16803, 152, 2205, 67826, 17160, 9424, 48904, 20911, 4838, 121193, 75230, 2882, 92500, 67882, 24621, 620, 73381, 77188, 1470, 54260, 1211, 95455, 192544, 152, 2451, 4151, 16175, 174121, 119055, 29060, 364, 54260, 13497, 6, 199511, 9721, 75230, 2882, 4, 35189, 16175, 174121, 37826, 364, 54260, 13497, 9721, 75230, 2882, 56170, 2648, 41595, 5, 35189, 119055, 29771, 15388, 10339, 186955, 4, 95455, 45521, 38054, 6, 26394, 12890, 16747, 2882, 10069, 1470, 75230, 2702, 8903, 7511, 8300, 18415, 4, 10339, 75230, 28726, 620, 54260, 6293, 5, 2451, 3496, 26, 85465, 200117, 9721, 75230, 2882, 7265, 168677, 364, 54260, 13497, 56170, 2648, 41595, 4, 119718, 10705, 235466, 18225, 2205, 4151, 6, 76776, 40920, 4838, 7508, 54260, 6293, 705, 92500, 162726, 34365, 164461, 34072, 56169, 4838, 37640, 20260, 2200, 4269, 69181, 92500, 125523, 4, 2200, 125523, 4, 292, 4838, 37640, 20260, 43178, 3131, 80453, 54260, 5, 26612, 7508, 54260, 6293, 37826, 7213, 51723, 1470, 75230, 2702, 8903, 186565, 2648, 2882, 92500, 132025, 8903, 225975, 2882, 152, 2865, 54260, 1211, 7508, 54260, 21066, 4, 3523, 54260, 5, 1982, 26612, 2050, 119055, 29771, 15388, 657, 176727, 4838 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7508, 54260, 6293, 2200, 43449, 141943, 2882, 92500, 1751, 80453, 54260, 2882, 4838, 68550, 4838, 43449, 29771, 44779, 3944, 40920, 5, 36419, 235466, 4151, 115556, 22753, 2205, 1285, 364, 35596, 92500, 6, 225975, 2882, 56170, 119718, 10705, 83182, 2882, 152, 2451, 101251, 8903, 120749, 5, 268, 5666, 29766, 193042, 710, 119718, 21292, 26612, 710, 4, 4151, 7201, 23173, 4838, 6, 94741, 20260, 119718, 120467, 3373, 26, 506, 64260, 6235, 101296, 40920, 7746, 3069, 4151, 364, 84577, 5, 2648, 120467, 7508, 142429, 56170, 120749, 4, 2200, 7265, 6235, 170355, 128083, 120467, 45521, 38054, 2205, 119055, 29771, 15388, 1470, 54260, 23405, 79238, 22426, 84577, 5, 20315, 2050, 4269, 48904, 64213, 6, 159696, 2932, 37826, 7508, 54260, 6293, 6235, 2932, 69181, 4, 195054, 75230, 40920, 1211, 7265, 4838, 37640, 20260, 43178, 3131, 80453, 54260, 5, 2451, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 26612, 7508, 54260, 6293, 37826, 7213, 51723, 1470, 75230, 2702, 8903, 186565, 2648, 2882, 92500, 132025, 8903, 225975, 2882, 152, 2451, 874, 54260, 1211, 7508, 54260, 21066, 4, 3523, 54260, 5, 268, 21066, 710, 12483, 7201, 54260, 21847, 147582, 12483, 4, 119718, 41595, 1211, 147582, 12483, 4, 21066, 710, 12483, 7369, 137377, 71804, 49008, 4, 29771, 75578, 6255, 2200, 16175, 174121, 2865, 75322, 73381, 29766, 1211, 133190, 230764, 27702, 49008, 5, 4944, 26, 115518, 1285, 10339, 54260, 8903, 44779, 28798, 22492, 92500, 10676, 163139, 13497, 4, 1285, 7369, 137377, 71804, 49008, 5, 4944, 26, 119718, 39083, 2882, 4838, 112216, 48253, 6235, 97634, 1211, 1285, 147582, 21847, 12483, 4, 1982, 15533, 73784, 11211, 17017, 36324, 3131, 4151, 21066, 710, 12483, 95766, 4151, 6, 119312, 7746, 132025, 13342, 3131, 22426, 710, 21847, 12483, 95766, 1285, 3944, 40920, 125897, 56170, 94626, 12483, 5, 1982, 26612, 4151, 6, 119312, 119055, 39083, 2882, 6255, 160751, 213783, 2932, 39083, 2648, 56170, 874, 54260, 23269, 364, 23173, 4838, 12890, 35044, 4, 238144, 1644, 3373, 26, 506, 64260, 16175, 174121, 143064, 3069, 34076, 213783, 506, 29766, 199145, 167048, 21106, 1211, 3120, 220224, 33960, 46053, 5, 92500, 27702, 2050, 11211, 17017, 119055, 13845, 6255, 6, 87311, 49008, 7201, 23173, 1285, 1470, 75230, 15388, 37640, 20260, 12483, 43449, 29771, 4113, 4, 16803, 39083, 3120, 220224, 1285, 67882, 24621, 192183, 12483, 36326, 22426, 1211, 6, 173967, 4269, 48904, 26394, 97816, 26, 12483, 5, 5666, 29766, 56170, 20033, 4, 292, 123736, 4, 6, 119312, 6235, 23822, 54260, 4113, 4, 119718, 10705, 3056, 182261, 1285, 191795, 30750, 16175, 86733, 23269, 705, 2702, 26, 2932, 54260, 2882, 20033, 1470, 75230, 2702, 125523, 11265, 95455, 6, 51172, 175323, 13159, 119718, 710, 22753, 10339, 147713, 2882, 205026, 230191, 212632, 5, 13330, 30473, 56169, 27702, 2050, 45223, 7201, 84577, 4838, 147582, 2932, 2808, 75230, 6293, 4151, 6, 113889, 4852, 30473, 56169, 27702, 2050, 45223, 7201, 84577, 4838, 147582, 2932, 230764, 4151, 6, 113889, 4852, 4, 26612, 147582, 5666, 230764, 4151, 6, 113889, 4852, 5, 1982, 54260, 16803, 70845, 2200, 21374, 34709, 2882, 4, 36324, 3373, 26, 68313, 4838, 56170, 13982, 120467, 4, 165592, 3373, 68313, 4838, 56170, 13982, 120467, 5, 2932, 15907, 4151, 45223, 7201, 84577, 230764, 11265, 4838, 6235, 25391, 54260, 4, 2808, 75230 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6293, 11265, 4838, 6235, 25391, 54260, 152, 21066, 93975, 147713, 29766, 219947, 4, 56170, 119132, 7746, 2200, 3523, 54260, 4, 7201, 23173, 119132, 7746, 2200, 3523, 54260, 5, 29771, 75578, 1285, 147582, 2932, 6, 105515, 4838, 9934, 60732, 2200, 4838, 147582, 4, 26612, 9934, 60732, 2200, 4838, 147582, 4, 2932, 15907, 2205, 4151, 364, 75230, 2882, 70845, 4838, 1751, 97634, 4667, 2200, 4838, 78956, 4, 26612, 1751, 97634, 4667, 2200, 4838, 78956, 5, 159696, 33716, 1751, 75230, 1211, 4151, 45223, 7201, 84577, 2205, 88771, 26, 1211, 564, 54260, 4852, 4, 95766, 88771, 26, 1211, 564, 54260, 4852, 5, 1982, 212484, 2882, 7265, 4151, 6, 113889, 4852, 4, 36324, 3373, 26, 1982, 26612, 2932, 34533, 70845, 4838, 1751, 238144, 2702, 4, 165592, 3373, 26, 1982, 26612, 2932, 34533, 70845, 4838, 1751, 238144, 2702, 5, 2882, 48904, 56169, 70845, 6, 23173, 54260, 1211, 2205, 1470, 75230, 6093, 1285, 147582, 2932, 4, 95766, 1470, 75230, 6093, 1285, 147582, 2932, 4, 7511, 2882, 70845, 4838, 6, 163177, 22151, 36326, 4, 4838, 6, 203326, 2200, 4838, 41764, 7682, 4, 26612, 6, 203326, 2200, 4838, 41764, 7682, 5, 9285, 1644, 75230, 23741, 1751, 75230, 1211, 4151, 45223, 7201, 84577, 2205, 119055, 21106, 2648, 2200, 7369, 22518, 54260, 2882, 4, 95766, 119055, 21106, 2648, 2200, 7369, 22518, 54260, 2882, 4, 2442, 54260, 16803, 1470, 75230, 2702, 7265, 9424, 29766, 1211, 4838, 564, 75230, 2050, 2200, 9424, 37016, 54260, 2882, 4, 26612, 564, 75230, 2050, 2200, 9424, 37016, 54260, 2882, 5, 7511, 2882, 7746, 4838, 119055, 29766, 6293, 230764, 6, 47351, 123736, 25207, 51723, 151614, 4852, 4, 47351, 123736, 25207, 51723, 151614, 4852, 5, 22680, 4113, 98833, 7243, 56170, 119718, 120467, 152, 4838, 147582, 2932, 230764, 4151, 6, 113889, 4852, 4, 26612, 147582, 2932, 230764, 4151, 6, 113889, 4852, 5, 22426, 7682, 148620, 45223, 7201, 84577, 36324, 75230, 163139, 4838, 1751, 120467, 4, 165592, 75230, 163139, 4838, 1751, 120467, 5, 2865, 21106, 22426, 13159, 133190, 6, 71804, 12984, 152, 2451, 4838, 147582, 2932, 230764, 4151, 6, 113889, 4852, 4, 26612, 147582, 2932, 230764, 4151, 6, 113889, 4852, 5, 11703, 119312, 2200, 192544, 1470, 75230, 33225, 163139, 13497, 9719, 2648, 3056, 95455, 192544, 4, 127461, 3120, 46440, 5, 9719, 4667, 3056, 1285, 6, 119312, 4, 205026, 3120, 3944, 40920, 5, 31249, 29771, 33225, 564, 54260, 20315, 4, 292, 6, 95494, 2200, 67826, 1644, 5, 76776, 40920, 3056, 10184, 57619, 16932, 2200, 6235, 120749, 5, 29771, 75578, 1285, 6, 119312, 107776, 73784, 192544, 4, 2442, 75230, 63532, 70845, 1470, 54260, 1211, 4838, 192556, 152, 2451, 4151, 119718, 26612, 4667, 711, 4944, 26, 506, 26612, 1982, 160751, 48775, 40920, 7265, 6, 18167, 10676, 163139, 13497, 27909, 4944, 72631, 54260, 28320, 364, 54260, 13497, 1285, 6, 76776, 40920, 5, 119312, 2200, 192544, 1470, 75230, 33225, 163139, 120580, 54260, 18406, 40653, 220273, 6093, 6, 159696, 21295, 4, 115518, 6, 94741, 2050, 21374, 41731, 1470, 1751, 104855, 4231, 4, 12890, 14303, 119718, 120467, 2205, 99509, 7265, 6, 148346, 2442, 34322, 2882, 2200, 115222, 21295, 5, 119312, 204982, 10676, 163139, 13497, 4838, 27702, 61541, 152, 105780, 56169, 123073, 6, 76776, 40920, 27702, 50853, 6, 89930, 54260, 2702 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 92500, 119055, 23173, 23741, 6, 23173, 137377, 3069, 4151, 1751, 159696, 1644, 119718, 23173, 4113, 51723, 1751, 54260, 1211, 12065, 54260, 16667, 238144, 2702, 5, 119718, 23173, 4113, 51723, 1751, 54260, 1211, 99509, 4113, 185182, 23093, 64260, 1285, 67882, 24621, 132025, 8903, 36326, 22426, 2882, 92500, 3069, 1285, 114955, 3069, 8903, 5666, 35596, 152, 2451, 3523, 40096, 1470, 54260, 4667, 119055, 23173, 141564, 54260, 2882, 2200, 17190, 47332, 5, 5666, 7221, 10114, 2451, 9721, 75230, 2882, 3069, 10676, 3944, 40920, 4, 67882, 24621, 4, 33960, 1982, 4, 292, 506, 29771, 18406, 1285, 114955, 67826, 1644, 6, 238197, 5, 92500, 1285, 67882, 24621, 37826, 220224, 143064, 4, 225975, 2882, 22753, 152, 2451, 874, 29766, 15388, 4, 182261, 3056, 145813, 29060, 5, 29771, 75578, 95455, 192544, 37826, 221387, 165592, 2205, 4151, 1751, 104855, 364, 17310, 6093, 22518, 54260, 2882, 4, 506, 64260, 8947, 10676, 163139, 13497, 101251, 8903, 75290, 2882, 92500, 4151, 6, 119312, 6235, 506, 54260, 46053, 152, 2451, 7508, 54260, 2882, 711, 2932, 15907, 1285, 6, 119312, 10676, 163139, 13497, 4838, 6, 101328, 2932, 4, 2932, 15907, 4151, 163139, 13497, 7746, 27702, 50853, 4838, 6, 121865, 4, 92500, 220224, 6, 199511, 125523, 56170, 97634, 124900, 75230, 2882, 2200, 6, 172060, 16932, 4, 151614, 29171, 4, 6, 99611, 5, 101296, 24621, 37826, 6, 147502, 27702, 50853, 6235, 23847, 54260, 2882, 152, 2451, 6, 119273, 7746, 4, 114955, 4, 6, 68558, 3069, 9934, 40096, 5, 22680, 4113, 98833, 1751, 75230, 1211, 220273, 219947, 163139, 21066, 32054, 54260, 2648, 16580, 83182, 57973, 6428, 99766, 6235, 506, 40096, 5, 119312, 37826, 10676, 163139, 13497, 120202, 8903, 3131, 93449, 92500, 95455, 192544, 4838, 506, 54260, 2050, 160751, 48775, 40920, 5, 16580, 16747, 2205, 564, 29060, 56170, 31249, 29771, 33225, 657, 176727, 4, 292, 4484, 54260, 59461, 6, 238144, 16803, 7243, 3120, 4151, 6, 76776, 40920, 5, 1065, 8934, 10114, 13982, 54260, 6, 238144, 36419, 21422, 8903, 44779, 4, 292, 2808, 54260, 16667, 37826, 1470, 75230, 33225, 43649, 53414, 4838, 7508, 75230, 28320, 46654, 37016, 4, 2808, 54260, 16667, 6, 226112, 98833, 4838, 48706, 141847, 109316, 2205, 6, 37016, 4, 5666, 29766, 95455, 29434, 710, 18415, 874, 37016, 29060, 4269, 48904, 26394, 193012, 5, 147455, 109316, 16175, 54260, 93497, 4, 147455, 109316, 22518, 54260, 6093, 4, 4944, 26, 159696, 1644, 56170, 3131, 22426, 23173, 1211, 1285, 4667, 2205, 43649, 21106, 4, 159696, 2882, 124724, 1054, 53414, 12023, 16932, 4269, 21106, 5, 13982, 54260, 6, 238144, 36419, 21422, 8903, 44779, 4, 292, 2808, 54260, 16667, 292, 4838, 6, 76776, 86733, 1211, 292, 6, 119273, 133190, 6235, 39340, 4944, 7611, 4, 2808, 54260, 16667, 4838, 223779, 2442, 3373, 107182, 65482, 9424, 87309, 91595, 4, 5666, 29766, 95455, 29434, 710, 18415, 7265, 1285, 49920, 59461, 43649, 91595, 5, 147455, 109316, 16175, 54260, 93497, 4, 147455, 109316, 10339, 54260, 6093, 4, 4944, 26, 159696, 1644, 56170, 12890, 16747, 1211, 124724, 1285, 6, 131445, 4, 159696, 126934, 163139, 46053, 163139, 72577, 73095, 3056, 5, 418, 13982, 54260, 6, 238144, 36419, 21422, 8903, 44779, 4, 292, 2808, 54260, 16667, 22753, 56169, 1470, 54260, 5666, 8903, 104985, 29060, 230764, 4151, 1751, 159696, 1644, 4 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2808, 54260, 16667, 27702, 2050, 1470, 75230, 119718, 1211, 119055, 23173, 63593, 2882, 7746, 3120, 115222, 21295, 4, 5666, 29766, 95455, 29434, 710, 18415, 4838, 177282, 75230, 23741, 1470, 75230, 33225, 45521, 50853, 5, 147455, 109316, 16175, 54260, 93497, 4, 147455, 109316, 6, 51172, 175323, 13159, 4, 81050, 98252, 4, 4151, 21776, 15388, 4269, 34533, 4, 76776, 184855, 6, 147455, 109316, 199145, 18133, 564, 34533, 5, 1065, 12243, 10114, 119718, 710, 97594, 2648, 132, 69355, 143628, 3131, 16, 31249, 29771, 6293, 4, 874, 54260, 1211, 192544, 4, 1285, 1470, 75230, 15388, 620, 21292, 4, 31249, 29771, 33225, 56170, 4838, 192544, 3056, 22753, 2702, 5, 2702, 26, 119718, 116628, 1285, 4667, 4, 874, 54260, 1211, 192544, 4, 4838, 10918, 16747, 142429, 44478, 4, 6, 119312, 2200, 67826, 59919, 119718, 41595, 5, 93704, 44478, 3069, 1285, 6, 61541, 56880, 147582, 2882, 4, 119312, 37826, 364, 41595, 6093, 10213, 48974, 56170, 2932, 69181, 4, 113889, 4667, 29434, 54260, 193012, 4, 292, 163139, 3373, 26, 68313, 27702, 3131, 77188, 4, 292, 506, 64260, 7746, 163139, 13497, 4838, 506, 54260, 2865, 8903, 75290, 2882, 5, 22680, 4113, 98833, 1285, 67882, 24621, 152, 2451, 163139, 13497, 4, 874, 54260, 1211, 32054, 54260, 2648, 4, 119718, 10705, 151614, 126934, 7746, 101251, 8903, 13982, 54260, 2882, 705, 10918, 7265, 43649, 53414, 7746, 6235, 25616, 41595, 4, 29771, 35189, 3496, 119718, 21106, 710, 13159, 564, 54260, 4852, 6235, 119718, 176727, 705, 2451, 3496, 26, 85465, 200117, 6319, 54260, 1211, 3496, 119718, 21106, 710, 13159, 7243, 6235, 119718, 39083, 2882, 4, 219947, 6319, 54260, 1211, 1751, 16932, 16747, 44779, 3120, 4269, 39083, 2648, 4, 5666, 29766, 4838, 192544, 151614, 1982, 6255, 6235, 506, 15907, 69355, 4151, 6, 119312, 199145, 37826, 6235, 2932, 69181, 5, 418, 9318, 10114, 2865, 9416, 105884, 2882, 4944, 71577, 2882, 7746, 230764, 3120, 620, 29771, 6293, 56170, 94626, 4, 119718, 710, 1285, 6, 119312, 204982, 70845, 4838, 34076, 29060, 4, 1982, 21106, 2648, 95455, 9424, 23174, 109316, 4838, 21422, 4, 292, 2865, 9416, 105884, 2882, 5, 29659, 2442, 87442, 1285, 364, 35596, 44779, 4, 2442, 54260, 16803, 1285, 119055, 35596, 44779, 17268, 119132, 564, 29060, 5, 1982, 212484, 2882, 1285, 564, 37016, 44779, 4, 21733, 23174, 2882, 1285, 34076, 37016, 44779, 4, 292, 2865, 9416, 105884, 2882, 5, 2451, 6, 212484, 125523, 620, 29771, 33225, 4, 3373, 68313, 125523, 40026, 4, 292, 225975, 2882, 1285, 67882, 24621, 7265, 160751, 29060, 4, 29771, 75578, 874, 9416, 4, 292, 119055, 6093, 2200, 163139, 705, 2865, 9416, 105884, 2882, 5, 2451, 3496, 26, 159696, 1644, 6428, 54260, 1211, 21422, 214766, 4, 119718, 15350, 35189, 13342, 12890, 16747, 1211, 73784, 564, 29060, 5, 292, 71804, 40920, 7369, 95298, 152, 2451, 3056, 167048, 7682, 4838, 4269, 90848, 75578, 705, 92500, 7369, 105884, 2882, 5, 5666, 104116, 5, 506, 6093, 31249, 506, 6093, 15908, 6093, 31249, 364, 54260, 16803, 874, 54260, 1211, 90284, 35189, 4, 225975, 2882, 7369, 152, 2451, 4838, 94741, 4, 49920, 3523, 23173, 4, 34079, 17017, 126934, 2200, 22444, 35189, 16803, 4, 159696, 2442, 6255, 49920, 3131, 7265, 49920, 59461, 92500, 6255, 33960, 1982, 124724, 215031, 1751, 97634, 4667, 4, 165592 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3373, 26, 159696, 2882, 6, 238144, 97634, 1211, 124724, 4838, 119055, 29771, 4667, 5, 4944, 26612, 4944, 26612, 4, 4838, 3111, 4, 4838, 49920, 31249, 119055, 6093, 133190, 5, 5666, 139303, 5, 154739, 2648, 65482, 112216, 159696, 4484, 177148, 6235, 21066, 75230, 15388, 1285, 57906, 2648, 65482, 112216, 159696, 21847, 54260, 4667, 3069, 6, 93704, 59929, 163139, 21847, 5, 225975, 2882, 11265, 4838, 94741, 152, 2451, 3373, 26, 68313, 6, 178107, 78683, 159696, 119718, 120467, 3056, 230764, 6428, 54260, 1211, 147582, 21847, 705, 2451, 199145, 9934, 21106, 220224, 1211, 705, 6, 76776, 4, 55242, 2190, 9719, 119364, 5, 2451, 123736, 4, 56170, 20033, 705, 56170, 6, 159696, 51723, 705, 22426, 26612, 159696, 2932, 39083, 2648, 4, 4838, 221067, 12023, 126934, 5, 24621, 2932, 6255, 6, 21106, 8300, 218710, 6, 101470, 705, 2451, 6, 119132, 56170, 7746, 2200, 6, 119132, 56170, 7038, 129891, 4, 119132, 56170, 63259, 105330, 1211, 4, 56170, 3944, 79981, 5, 4944, 26, 85465, 200117, 1285, 6, 170355, 107581, 44779, 6235, 17268, 49008, 7201, 23173, 1285, 114955, 44779, 3069, 46440, 1211, 5, 62808, 4838, 6, 59919, 55546, 2200, 4838, 32887, 21733, 4, 11556, 129891, 6, 64260, 1285, 7369, 137377, 71804, 49008, 4, 7972, 79981, 33960, 1982, 6255, 133190, 95455, 34076, 37016, 17410, 2884, 56170, 63259, 105330, 1211, 1285, 27702, 49008, 5, 22426, 26612, 159696, 147582, 2882, 4838, 905, 37016, 3120, 6, 94741, 49008, 144754, 9424, 79238, 80453, 54260, 18415, 57906, 2648, 65482, 147582, 21847, 5, 59919, 55546, 4, 32887, 21733, 4, 7369, 137377, 71804, 49008, 4, 292, 21106, 7611, 27702, 6, 93704, 21106, 12483, 2205, 163139, 21847, 5, 5666, 10031, 10114, 4484, 186955, 3056, 4151, 6, 119312, 4484, 186955, 3056, 4151, 6, 119312, 4, 37826, 22753, 7746, 1470, 54260, 23405, 20616, 710, 21295, 4, 144754, 1285, 119055, 39083, 4484, 16667, 7746, 3069, 8903, 2648, 87442, 5, 2451, 3056, 11265, 6319, 186955, 4, 21422, 3373, 26, 68313, 133190, 4838, 46440, 705, 506, 64260, 205026, 63259, 7972, 21733, 6235, 22680, 4113, 98833, 5, 4484, 186955, 3056, 4151, 6, 119312, 4, 6, 238144, 1644, 20033, 3056, 1470, 75230, 4667, 6319, 186955, 4, 4944, 26, 85465, 200117, 95298, 143064, 1285, 6, 119312, 119055, 12483, 22753, 167048, 186955, 5, 5666, 12069, 10114, 3131, 5666, 54260, 4, 9915, 54260, 4, 6, 238144, 101608, 9915, 54260, 4, 4944, 26, 506, 26612, 1982, 230764, 124724, 4838, 4231, 23173, 6235, 81050, 4852, 36326, 364, 54260, 13497, 2200, 205026, 4151, 22680, 54260, 4, 4852, 54260, 3523, 54260, 2882, 36324, 75230, 1470, 54260, 23405, 79238, 22426, 23173, 2882, 5, 4944, 26, 506, 26612, 1982, 4838, 620, 161577, 44458, 23269, 23847, 54260, 2882, 4, 506, 35596, 126968, 2050, 119055, 23173, 4113, 24621, 4838, 186046, 4, 7201, 21106, 230764, 6, 119859, 46053, 4, 10339, 21106, 230764, 46654, 54260, 2882, 4, 7201, 21106, 230764, 874, 54260, 23269, 43449, 171433, 20315, 364, 29766, 5, 506, 64260, 4151, 9915, 54260, 205026, 3069, 8903, 506, 77188, 4, 68313, 6, 130991, 292, 133190, 564, 208048, 40920, 5, 14004, 83182, 94626, 3056, 6, 238144, 2702, 1285, 7369, 2648, 4, 238144, 2702, 4151, 564, 75230, 2050, 2200, 6, 238144, 2702, 4151, 6, 94741, 4667, 5, 112593, 65442, 7501, 6255, 230764 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 124724, 1751, 57277, 24152, 4, 29257, 56170, 119132, 7746, 27702, 50853, 2200, 4269, 54260, 5, 29771, 75578, 115825, 48253, 7682, 3056, 4151, 27702, 48974, 4, 17160, 54260, 1982, 1751, 75230, 1211, 81444, 4, 874, 54260, 1211, 620, 91595, 6093, 9915, 54260, 27, 71, 2865, 9416, 2200, 63259, 105330, 2865, 9416, 163139, 6, 78683, 159696, 3056, 9721, 75230, 1211, 4, 101080, 105330, 3056, 43449, 29771, 16747, 163139, 167048, 75230, 4, 168892, 95298, 7501, 4838, 186046, 3131, 75230, 1211, 4, 292, 1982, 29771, 30750, 6, 21106, 54260, 1211, 9934, 29771, 13497, 36324, 75230, 5, 2865, 9416, 6, 225975, 2882, 152, 2451, 4838, 94741, 28726, 4, 33960, 1982, 5, 101080, 105330, 235466, 6, 21106, 8300, 218710, 6, 21106, 54260, 1211, 5, 29771, 75578, 3496, 26, 85465, 200117, 564, 54260, 20315, 220224, 143064, 4, 159696, 1211, 3523, 23173, 220224, 6, 104378, 3069, 2932, 54260, 1211, 5, 2865, 9416, 160238, 2882, 40611, 230764, 874, 54260, 1211, 27702, 7682, 4, 101080, 105330, 657, 75230, 23741, 40611, 2200, 7369, 22518, 54260, 2882, 4, 168892, 22753, 7611, 37640, 5666, 238144, 2882, 16667, 2200, 1751, 238144, 2932, 92500, 292, 3496, 26, 506, 26612, 1982, 220224, 143064, 37640, 83182, 238144, 2882, 5, 1065, 3131, 29771, 6293, 7265, 46711, 75230, 6093, 125897, 115222, 22426, 3131, 29771, 6293, 7265, 46711, 75230, 6093, 125897, 115222, 22426, 506, 29771, 18406, 7746, 2205, 45521, 50853, 74806, 28726, 22426, 2882, 5, 3131, 119718, 23173, 26394, 4, 6, 238144, 36419, 4, 7508, 75230, 18415, 1751, 29771, 6293, 4, 92500, 95455, 45521, 50853, 3056, 47833, 4838, 77208, 5, 7201, 29766, 13497, 78104, 137377, 39340, 2882, 4151, 46601, 47351, 144754, 1211, 17806, 149364, 21847, 218241, 115825, 1211, 21847, 47351, 5, 2702, 26, 61541, 2648, 3056, 3523, 92605, 29060, 4, 43649, 91595, 1285, 81414, 2882, 4, 94741, 25207, 30109, 71577, 710, 159696, 163139, 10339, 54260, 6093, 564, 166198, 5, 23847, 88680, 292, 81414, 71577, 5, 17160, 174121, 292, 85658, 71577, 5, 21733, 23174, 2882, 4151, 34076, 218241, 163139, 4838, 6235, 238144, 1211, 5, 9719, 4667, 1285, 1751, 29771, 6293, 3120, 3523, 54260, 1211, 2200, 4269, 54260, 1211, 5, 95494, 6293, 7265, 46711, 75230, 6093, 125897, 115222, 22426, 506, 29771, 18406, 7746, 2205, 45521, 50853, 74806, 28726, 22426, 2882, 4, 1982, 15533, 1285, 6, 76776, 40920, 37826, 220224, 56170, 87637, 21295, 5, 158853, 34709, 17310, 292, 364, 77188, 152, 4838, 10339, 54260, 21066, 46440, 2882, 92500, 4838, 657, 63593, 22426, 1644, 42493, 4838, 1751, 54260, 1211, 5, 4852, 21106, 8947, 220224, 6093, 112216, 80885, 4667, 220224, 1211, 705, 39340, 22426, 160751, 75230, 15388, 4, 81414, 2882, 56170, 29659, 710, 21295, 4, 506, 54260, 123103, 119055, 77188, 119055, 12483, 3373, 26, 87637, 177282, 12023, 21295, 4, 183512, 6093, 3131, 163139, 10676, 4269, 48904, 64213, 6, 57277, 20260, 164461, 2882, 4838, 10918, 16747, 4151, 17806, 149364, 21847, 218241, 5, 21847, 48904, 4113, 21847, 905, 4, 34076, 68558, 97594, 4, 113889, 4667, 4838, 6, 240863, 2200, 6, 76776, 4667, 4838, 21422, 4, 1065, 11251, 10114, 113889, 4667, 4838, 145813, 47351, 2200, 125523, 4838, 167048, 37016, 4, 292, 12890, 56880, 77208, 3120, 6, 17645, 119132, 119055, 43178, 5, 3131, 29771, 6293, 7265, 46711, 75230, 6093, 125897, 115222 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22426, 506, 29771, 18406, 7746, 73784, 1751, 54260, 1211, 4151, 3131, 28726, 22426, 2882, 5, 119718, 10705, 3056, 112216, 80885, 4667, 705, 364, 106559, 230764, 6319, 54260, 21338, 176727, 6, 21106, 54260, 1211, 3069, 5666, 75230, 111137, 13982, 54260, 2882, 5, 13458, 35596, 2205, 657, 63593, 22426, 1644, 6428, 23173, 6093, 121193, 75230, 2882, 4, 2702, 26, 7201, 54260, 21066, 119055, 21106, 61397, 2882, 7746, 27702, 2050, 162726, 75230, 2882, 5, 21847, 239162, 21847, 905, 4, 34076, 68558, 97594, 4, 17160, 171433, 50273, 12483, 1751, 29771, 6293, 3120, 22639, 35189, 94626, 5, 2808, 31623, 16932, 10339, 21106, 1211, 30842, 115222, 22426, 4, 2808, 75230, 15388, 21923, 3069, 8903, 21733, 4113, 22426, 2882, 5, 1644, 21660, 16932, 19302, 17310, 292, 4269, 84642, 71804, 2808, 29771, 4, 92500, 4151, 112216, 80885, 4667, 3056, 7243, 29771, 5, 5, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 68959, 16629, 7511, 4, 6, 50273, 43178, 2200, 6, 50273, 48904, 29060, 506, 29771, 18406, 143064, 3069, 41764, 48775, 159696, 1211, 1751, 46545, 4, 68959, 16629, 7511, 6, 201237, 2882, 2200, 6, 50273, 76632, 105884, 2882, 92500, 6, 50273, 48904, 29060, 1751, 80453, 23174, 2882, 230764, 4838, 167048, 7682, 5, 68959, 36326, 99611, 364, 106559, 364, 54260, 16803, 7544, 82576, 6, 50273, 710, 4, 68313, 7369, 6319, 54260, 28726, 4944, 7682, 2200, 45521, 2882, 4, 3131, 22426, 159993, 7746, 7265, 70845, 6, 119859, 57619, 94626, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 3131, 109636, 16932, 657, 75230, 33225, 76961, 29434, 54260, 4, 292, 144754, 4838, 6, 57277, 69106, 4, 292, 230764, 4838, 6235, 159696, 2882, 4, 4484, 75230, 33225, 9721, 75230, 2882, 2205, 10213, 75290, 54260, 4, 292, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 2808, 54260, 35189, 1054, 120467, 2200, 1470, 54260, 35189, 119055, 12483, 4, 21733, 71577, 2882, 18225, 6, 48253, 159696, 4484, 13159, 2205, 4838, 9721, 29060, 4, 21106, 4113, 206994, 1211, 7265, 9721, 12483, 4, 292, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 2442, 54260, 46053, 6319, 23173, 81829, 3120, 4838, 564, 75230, 2050, 4, 25391, 54260, 2882, 220224, 183586, 89930, 152, 2451, 14856, 215594, 711, 144754, 6235, 25391, 54260, 4838, 177282, 75230, 33225, 6, 30033, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 16028, 137377, 8903, 121865, 1211, 1751, 31212, 2200, 19302, 54260, 2648, 4, 2808, 75230, 2702, 8903, 186565, 33716, 220273, 163139, 4838, 118473, 4, 2702, 26, 23173, 2882, 220224, 7243, 4, 4838, 12890, 14856, 4269, 54260, 2882, 4, 292, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 2702, 26, 68313, 1751, 75230, 1211, 6, 76776, 40920, 4, 2200, 192544, 92500, 4484, 54260, 21338, 176727, 1751, 75230, 1211, 1470, 75230, 2702, 8903, 97634, 1211, 2205, 564, 29060, 5, 159696, 68959, 36326, 10339, 54260, 23741, 230764, 4838, 16175, 144532, 22426, 54260, 2882, 705, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 165592, 73095, 235466, 220224, 7243, 6319, 54260, 1211, 620, 29771, 6293, 4, 4944, 64260, 3131, 73095, 3056, 1751, 75230, 1211, 36324, 75230, 145813 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29060, 5, 119718, 120467, 119055, 29060, 220224, 1211, 7265, 1470, 54260, 4667, 4151, 77208, 4, 50273, 76632, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 705, 5927, 6093, 3131, 2200, 115556, 506, 6093, 3131, 109316, 4, 7265, 30109, 75230, 49008, 506, 6093, 59461, 92500, 7265, 1285, 23269, 4, 34076, 54260, 107581, 6, 131445, 4, 506, 64260, 3120, 119055, 21106, 2648, 6, 26394, 238144, 1211, 4151, 59461, 22426, 12666, 34709, 23174, 7746, 6235, 97634, 1211, 4838, 6, 121865, 5, 1644, 75230, 23741, 95455, 49920, 3131, 109316, 7265, 21422, 16932, 4, 3131, 80453, 23174, 2882, 230764, 9424, 238144, 15388, 4, 1751, 80453, 23174, 2882, 2200, 10339, 186955, 4, 1982, 15533, 1285, 564, 54260, 46685, 119055, 53414, 7213, 16932, 92500, 73095, 6, 188301, 2882, 7746, 4151, 119055, 21106, 2648, 5, 113889, 12984, 119055, 21106, 2648, 292, 4838, 45521, 50853, 7265, 6319, 238144, 28320, 92500, 4838, 16175, 54260, 4667, 1285, 564, 25207, 15388, 119055, 26612, 29659, 5, 21847, 37016, 6093, 65902, 183216, 4, 6, 95494, 67873, 46654, 54260, 28320, 4, 292, 2702, 26, 506, 6093, 3131, 109316, 119055, 77188, 81444, 6, 26394, 48775, 29659, 5, 21106, 8300, 218710, 3056, 81444, 4838, 83182, 3131, 4, 4838, 83182, 3131, 4, 2702, 26, 68313, 6, 94741, 129165, 27105, 2200, 3373, 68313, 81444, 72577, 5, 506, 6093, 31249, 37826, 3120, 119055, 21106, 2648, 56170, 119718, 183512, 77188, 92500, 7369, 6, 238144, 16803, 7243, 199145, 14856, 6, 105515, 5, 50931, 850, 364, 77188, 7369, 4, 292, 6, 94741, 40920, 7746, 6, 51172, 175323, 13159, 4, 29771, 75578, 4838, 83182, 3131, 163139, 2205, 119055, 21106, 2648, 4, 219947, 220224, 90284, 51723, 4, 7243, 220224, 22518, 54260, 12483, 4, 5666, 29766, 4151, 6, 48775, 3131, 95455, 364, 23173, 7611, 9424, 79238, 22426, 186955, 5, 1065, 9464, 10114, 17268, 119132, 119055, 59929, 6093, 107776, 6, 84577, 39340, 15388, 2808, 75230, 6293, 9424, 238144, 6, 131445, 4838, 6, 56052, 6235, 29659, 186955, 4, 4484, 54260, 5666, 2865, 39083, 364, 40096, 7369, 7243, 27702, 8903, 105405, 165592, 26612, 3496, 26612, 17645, 148620, 119055, 21106, 2648, 5, 96302, 3131, 711, 292, 4151, 87311, 13497, 7369, 7746, 7265, 874, 151461, 5, 51172, 175323, 13159, 6, 225975, 1211, 152, 220224, 6235, 506, 15907, 711, 92500, 10676, 6, 159696, 2932, 37826, 7369, 56170, 1644, 75230, 61621, 4, 29659, 54260, 2882, 7369, 81444, 163139, 3069, 8903, 186565, 2648, 2882, 5, 96302, 3131, 107776, 3069, 2200, 364, 54260, 47332, 6, 68558, 34076, 213783, 4, 25391, 37016, 2200, 72577, 95564, 54260, 2882, 70845, 27702, 7201, 186955, 4, 119718, 23173, 46598, 115556, 16667, 364, 35596, 4, 163139, 6, 130929, 16932, 2808, 75230, 6293, 1285, 564, 54260, 46685, 148620, 119055, 21106, 2648, 5, 506, 6093, 31249, 2702, 1470, 75230, 15388, 119055, 53414, 9721, 75230, 59461, 4, 506, 6093, 3131, 5666, 26, 50931, 220224, 16667, 32054, 54260, 103023, 1751, 186955, 152, 2451, 87644, 115556, 4, 564, 34533, 7243, 6319, 54260, 1211, 24377, 22492, 4, 119718, 710, 14856, 6, 225975, 2882, 230764, 124724, 2205, 119055, 21106, 2648, 5, 2808, 31623, 16932, 657, 75230, 23741, 7508, 6093, 49920, 3131, 564, 48904, 54260, 13159, 4, 144754, 6235, 170355, 23405, 2205, 220224, 23269, 6, 131445, 4, 292, 13342, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8300, 54260, 67873, 76961, 6, 51172, 175323, 13159, 165592, 4151, 115556, 4838, 72577, 6093, 3056, 5, 3149, 30473, 18406, 6, 148346, 23173, 3131, 657, 29771, 7201, 65482, 21374, 2932, 54260, 12483, 73784, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 2808, 54260, 23269, 6, 225975, 2882, 7038, 4, 1470, 54260, 23269, 6, 225975, 2882, 6, 87311, 4, 2808, 54260, 23269, 6235, 119718, 39083, 2882, 119055, 39083, 2882, 125523, 620, 29771, 33225, 4838, 97816, 4, 7972, 15388, 2205, 43649, 21106, 1470, 75230, 33225, 119055, 23173, 4113, 51723, 364, 54260, 5, 29771, 75578, 3373, 26, 506, 64260, 6, 50273, 171433, 710, 6235, 101296, 40920, 4838, 6235, 25391, 54260, 92500, 56170, 1285, 49920, 59461, 6, 193120, 4838, 29434, 54260, 5, 2932, 54260, 12483, 73784, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 65848, 20260, 12483, 27702, 2050, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 2808, 54260, 23269, 67882, 40920, 2376, 9183, 22426, 711, 1470, 54260, 23269, 67882, 40920, 85658, 71577, 711, 2808, 54260, 23269, 56170, 8903, 16803, 4269, 23173, 2205, 119055, 59929, 6093, 10676, 6319, 137377, 5, 2808, 54260, 23269, 620, 29771, 23741, 1470, 54260, 1211, 22639, 144754, 1211, 4838, 620, 17310, 5, 2808, 54260, 23269, 6, 212484, 2882, 40653, 2205, 29434, 75230, 46053, 1285, 3069, 23405, 5, 2808, 54260, 23269, 4151, 39293, 2882, 2205, 7508, 6093, 16175, 32097, 125523, 4838, 17806, 4, 225975, 2882, 22753, 11265, 152, 2451, 620, 4113, 59919, 7682, 7501, 6255, 163139, 18133, 4, 1065, 2808, 54260, 23269, 292, 1285, 22753, 30750, 18415, 292, 2205, 16175, 54260, 4667, 6, 23173, 54260, 1211, 162726, 710, 31212, 711, 119718, 23173, 23741, 11265, 125523, 6, 50273, 171433, 710, 4838, 9424, 89184, 36419, 119132, 1751, 31212, 4, 5666, 54260, 2882, 22753, 6, 23173, 88680, 2200, 657, 54260, 98833, 7746, 4838, 159696, 47063, 1644, 29771, 33225, 2205, 3523, 90848, 4852, 230764, 4231, 114436, 220224, 2882, 564, 25207, 2932, 5, 65848, 20260, 12483, 27702, 2050, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 1065, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 4944, 119718, 21106, 710, 13159, 1470, 75230, 33225, 16175, 54260, 10813, 6, 48775, 81829, 4, 2702, 26, 506, 40096, 6235, 25207, 105405, 133190, 119718, 120467, 4, 2808, 75230, 2702, 23269, 1982, 93704, 1211, 4, 120202, 8903, 119718, 26612, 81829, 4, 13458, 37016, 44779, 148620, 4269, 90848, 4852, 3069, 6, 76776, 81829, 2932, 54260, 12483, 6319, 40096, 126968, 2702, 564, 29766, 159696, 2702, 5, 2702, 26, 506, 75230, 20315, 1211, 7746, 27702, 2050, 119055, 59929, 6093, 115222, 17017, 12483, 144754, 1285, 1751, 159696, 25207, 151614, 68697, 13159, 4, 94741, 40920, 1211, 6, 94741, 40920, 7746, 4, 36324, 22753, 29434, 4113, 17017, 12483, 4, 5666, 29766, 220224, 6, 28317, 153222, 1211, 230764, 6, 78683, 97634, 159696, 2702, 152, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 5, 506, 13845, 7201, 84577, 1211, 2205, 10184, 95564, 13159, 620, 4113, 22426, 1211, 506, 54260, 163139, 99509, 4113, 6, 205416, 1982, 13159, 4, 2702, 26 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 94741, 40920, 7746, 220224, 123073, 1470, 75230, 15388, 19302, 4113, 22426, 1211, 4, 5666, 29766, 220224, 33960, 18406, 220224, 6, 47351, 5332, 33225, 12, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 5, 2702, 26, 84316, 12984, 1751, 159696, 2442, 6, 23173, 75230, 2702, 1285, 564, 53414, 69355, 1285, 43649, 54260, 59461, 5666, 29766, 13159, 4, 165592, 95455, 6, 104038, 26, 28726, 3069, 364, 53414, 19051, 112593, 51723, 220224, 6, 26394, 39293, 56169, 3069, 119055, 53414, 152, 4484, 40096, 126968, 2702, 3523, 54260, 12483, 564, 29766, 159696, 2702, 5, 5666, 29766, 1285, 6319, 40096, 126968, 2702, 6, 233284, 232187, 61621, 92500, 145813, 26612, 138194, 1211, 117902, 2442, 238144, 2702, 152, 2702, 26, 506, 54260, 47332, 219047, 220273, 219947, 6, 68558, 3069, 4838, 61621, 119718, 120467, 11265, 145813, 59929, 2882, 2200, 163139, 21295, 219047, 6, 76776, 61621, 4, 292, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 5, 5, 13556, 5, 1644, 16870, 17645, 39293, 44779, 3131, 80453, 710, 26394, 44478, 130929, 905, 13845, 16175, 48904, 64213, 4151, 22680, 54260, 2882, 4, 7972, 40920, 125897, 145813, 12415, 26394, 44779, 21776, 15388, 5, 1982, 26612, 159696, 2702, 95455, 6, 87311, 8903, 25207, 1470, 23174, 109316, 4269, 54260, 2882, 4, 1982, 29766, 159696, 2702, 6, 21106, 54260, 1211, 2205, 4151, 6235, 105405, 5, 4484, 186955, 3056, 10676, 22639, 23269, 28726, 4, 145813, 12415, 26394, 44779, 11265, 4, 57277, 57619, 1211, 182261, 178748, 2882, 11265, 7746, 27855, 51723, 4, 119718, 23173, 2882, 78278, 7369, 107776, 3069, 4838, 1751, 159696, 1644, 4, 3069, 4838, 16175, 9221, 4, 119718, 23173, 2882, 3496, 64260, 3131, 78278, 6255, 119055, 13845, 70845, 6, 101470, 5, 1065, 13342, 4151, 6, 119312, 2451, 56170, 119718, 120467, 37826, 32054, 54260, 44779, 22639, 35189, 94626, 8903, 22426, 40096, 29659, 7265, 147582, 21847, 12483, 364, 54260, 13497, 1285, 364, 2884, 705, 2451, 22753, 37826, 6235, 119718, 39083, 2882, 4838, 147582, 160204, 292, 147582, 92605, 4113, 15388, 4151, 9424, 79238, 23822, 21106, 16932, 6, 119312, 92500, 6255, 2200, 18133, 4, 2200, 7369, 2200, 22753, 4, 292, 62808, 163139, 67873, 76961, 3069, 4151, 6, 119312, 5, 12951, 3131, 75230, 18406, 10498, 54260, 10813, 12483, 2442, 75230, 2882, 1285, 1751, 104855, 4, 163139, 17806, 149364, 3523, 54260, 4, 238144, 2702, 4151, 6, 119859, 29171, 1470, 75230, 18406, 4, 165592, 6255, 4269, 54260, 1285, 1751, 104855, 56170, 1982, 54260, 4, 3131, 2865, 54260, 10813, 12483, 20033, 1285, 1751, 75230, 18406, 5, 2702, 26, 8903, 35044, 3056, 4838, 67826, 75386, 4, 4838, 19302, 54260, 16667, 4, 86070, 7265, 6, 238144, 36419, 16175, 75230, 18406, 4, 29771, 75578, 6255, 163139, 1644, 163139, 46053, 1470, 54260, 16667, 152, 4484, 171428, 10498, 54260, 10813, 12483, 1751, 75230, 18406, 152, 46464, 46685, 3056, 1285, 1751, 104855, 56170, 13458, 75230, 13497, 4, 55823, 57619, 16932, 1470, 75230, 111137, 506, 75230, 18406, 5, 292, 238144, 1644, 20033, 57973, 81444, 6235, 119718, 2808, 75230, 13497, 4, 3131, 2865, 54260, 10813, 12483, 20033, 1285, 1751, 75230, 18406, 5, 15276, 93704, 59929, 10339, 54260, 2932, 17410, 75230, 111137, 73381, 13497, 16175, 9221, 2200, 16175, 9221, 44779, 165592, 145813, 26612, 138194, 1211, 170479, 4151, 163139 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13497, 5, 119718, 10705, 3056, 4838, 94741, 705, 292, 1751, 77188, 112216, 22426, 9221, 44779, 4, 238144, 2702, 163139, 9915, 54260, 2200, 1751, 119718, 23173, 7611, 163139, 16175, 41595, 5, 119718, 41595, 9721, 141847, 2882, 147582, 21847, 12483, 11265, 230764, 16888, 2442, 44779, 4, 12890, 16747, 2882, 220224, 6, 68558, 4, 2200, 1470, 54260, 16667, 2200, 9424, 238144, 152, 7201, 54260, 21847, 119055, 53414, 1285, 112216, 22426, 9221, 44779, 4, 3131, 119718, 23173, 7611, 163139, 16175, 41595, 2200, 6, 238144, 2702, 163139, 9915, 54260, 5, 95766, 4151, 364, 54260, 4667, 2200, 2205, 4151, 24012, 35189, 4, 144754, 4838, 46654, 40096, 6093, 4, 4838, 6235, 13982, 54260, 4, 21066, 710, 12483, 10339, 54260, 21847, 4, 292, 125523, 2200, 163139, 35189, 4, 3131, 119718, 23173, 7611, 163139, 16175, 41595, 2200, 6, 238144, 2702, 163139, 9915, 54260, 5, 95766, 118473, 141847, 13159, 2200, 6, 26394, 186565, 46053, 4, 2808, 54260, 23405, 37016, 5666, 75230, 21295, 2200, 1470, 75230, 2702, 8903, 3131, 80453, 54260, 2882, 4, 119718, 41595, 37826, 10339, 54260, 21847, 1470, 75230, 2702, 8903, 121865, 1211, 92500, 7265, 564, 54260, 168155, 220224, 6, 26394, 238144, 2882, 5, 23269, 119364, 506, 35596, 44779, 21923, 6, 93704, 59929, 4, 7201, 54260, 21847, 119055, 23173, 63593, 2882, 22753, 2205, 220224, 4, 119718, 15350, 22753, 4, 292, 147582, 12483, 4269, 48904, 26394, 48706, 93704, 13159, 4, 3131, 119718, 23173, 7611, 163139, 16175, 41595, 2200, 6, 238144, 2702, 163139, 9915, 54260, 5, 1065, 382, 10114, 39293, 4, 163139, 564, 106559, 88660, 1644, 9221, 18415, 6, 95494, 67873, 7201, 21106, 20315, 159696, 2882, 4151, 163139, 13497, 112216, 22426, 9221, 4, 292, 7201, 54260, 21847, 21923, 20033, 2200, 10339, 21106, 1211, 2808, 75230, 6293, 4838, 162726, 75230, 2882, 2200, 56170, 4838, 16175, 9221, 5, 93704, 26612, 26, 2702, 10339, 54260, 21847, 17288, 183216, 16175, 75230, 18415, 4, 144754, 1285, 147582, 21847, 3069, 8903, 80453, 119273, 4, 2808, 75230, 6293, 1285, 54745, 104238, 4, 230764, 1285, 162726, 75230, 28320, 4, 292, 1644, 54260, 103023, 3056, 182261, 6, 93704, 59929, 23050, 16803, 5, 16, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 219947, 3120, 364, 54260, 13497, 2200, 7243, 3120, 11211, 4, 2702, 68313, 6235, 159696, 1211, 98252, 7265, 6, 101328, 61621, 4, 95766, 4838, 8248, 46685, 22639, 35189, 94626, 236376, 7746, 3496, 109316, 2050, 119055, 12483, 2200, 163139, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 225975, 1211, 6428, 99766, 1285, 19302, 905, 8903, 657, 54260, 2882, 152, 2451, 8248, 46685, 119055, 92605, 16803, 81444, 4667, 6, 238144, 7611, 2200, 6, 88660, 61621, 4, 2702, 26, 13458, 35596, 1285, 6, 119312, 1285, 4269, 48904, 26394, 9424, 54260, 2882, 4, 1644, 29771, 62808, 56170, 6, 47351, 40653, 1982, 54260, 2882, 119312, 56170, 7746, 230764, 163139, 13497, 6093, 145813, 29766, 1211, 5, 46464, 46685, 292, 364, 54260, 2702, 2200, 163139, 13497, 6093, 292, 6319, 186955, 4, 219947, 3069, 4269, 54260, 1211, 2200, 7243, 3069, 160238, 1211, 4, 68313, 4151, 83031, 152, 6, 57277, 39340, 27702, 50853, 4, 119718, 710, 18225, 43649, 54260, 2882, 2200, 119055, 10705, 14856, 364, 186955, 4, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 61621, 5, 29771, 75578, 163139, 705, 2190, 9719, 119364, 364, 77188, 152, 2808, 54260, 59461, 564, 212484, 2882, 2205, 49920, 160083, 29766, 1211, 4, 104378, 190246, 6, 68558, 7265, 10213, 38054, 4, 104378, 6, 238144, 75578, 4, 114955, 4, 45521, 38054, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 48775, 29659, 7746, 6428, 99766, 1211, 1751, 75230, 1211, 6235, 3111, 2932, 4, 226112, 15388, 1470, 54260, 112690, 39340, 2200, 117902, 61621, 4, 1065, 17461, 10114, 35189, 4838, 16175, 137377, 2200, 4151, 4838, 6319, 84662, 4, 292, 2808, 75230, 163139, 19302, 23964, 4, 220224, 21923, 19302, 23964, 119312, 230764, 163139, 13497, 6093, 6, 71577, 13342, 3131, 204403, 61621, 5, 2808, 54260, 59461, 22518, 54260, 2882, 6428, 99766, 152, 2451, 55242, 133190, 4, 6, 98055, 4, 2702, 26, 68313, 874, 54260, 1211, 16175, 137377, 1751, 75230, 1211, 99509, 6235, 119718, 29766, 1211, 5, 25391, 54260, 2882, 4838, 9424, 238144, 16932, 152, 2451, 99509, 874, 54260, 1211, 6319, 84662, 5, 2808, 75230, 163139, 19302, 23964, 4, 20033, 21923, 19302, 23964, 4, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 2882, 137377, 56170, 4852, 18640, 21295, 4, 10339, 59929, 56170, 3131, 22426, 106559, 4, 29659, 54260, 2882, 2205, 115222, 44478, 4, 1470, 75230, 33225, 220273, 1211, 4, 292, 96302, 3131, 4, 7195, 7758, 4, 45521, 38054, 2200, 364, 106559, 22680, 54260, 12483, 7746, 4, 6, 238144, 1644, 3373, 26, 68313, 203013, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 119718, 41595, 6093, 107776, 7265, 32054, 120467, 2882, 2200, 115222, 21295, 4, 73381, 13497, 18225, 1285, 32887, 22426, 292, 4838, 9424, 29766, 1211, 711, 4944, 109316, 2050, 4269, 54260, 2882, 4838, 68550, 2200, 109925, 2882, 152, 2451, 28415, 37826, 219047, 125523, 7243, 6235, 61541, 2882, 292, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 69355, 1285, 32887, 22426, 2200, 3120, 1285, 46050, 2932, 3131, 80453, 710, 183216, 874, 54260, 4852, 163139, 3120, 1285, 133190, 13159, 5, 4944, 109316, 2050, 1751, 80453, 23174, 2882, 3120, 22518, 37016, 98252, 92500, 56170, 4852, 84577, 4838, 192544, 2205, 163139, 2932, 46685, 1285, 6, 119312, 7243, 120202, 13342, 3131, 204403, 61621, 5, 155, 29060, 192956, 119055, 6093, 16932, 12415, 206105, 119055, 6093, 16932, 21923, 43449, 75230, 4852, 1470, 75230, 7201, 198087, 44478, 1211, 56170, 119718, 120467, 6255, 151614, 1982, 171433, 8903, 25391, 710, 18406, 7508, 120467, 6, 229340, 56170, 114955, 2200, 56170, 119718, 120467, 73095, 364, 54260, 16803, 137, 93704, 59929, 657, 9221, 6093, 229340, 2909, 2865, 54260, 1211, 6, 97634, 4944, 16932, 4838, 94741, 3056, 182261, 6, 186955, 55242, 13805, 4231, 29766, 5, 98252, 7265, 9424, 238144, 4231, 29766, 4, 159696, 1211, 6255, 7501, 6235, 159696, 1211, 230764, 119055, 233364, 42180, 4, 3056, 27702, 20033, 6235, 159696, 1211, 4838, 116486, 130929, 2050, 152, 20315, 2050, 6, 238144, 1982, 2200, 10676, 4151, 119718, 162785, 65482, 2050, 6, 119312, 22518, 54260, 1982, 6255, 78956, 119718, 4, 199145, 22518, 54260, 47332, 51723, 6, 93704, 47351, 705, 3056, 20033, 1470, 54260, 23405, 73381, 21106, 1211, 12, 657, 88945, 44779, 4, 6, 104038, 26, 44779, 56170, 6, 93704, 47351, 5, 85465, 200117, 6255, 1285 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 378, 7146, 12, 261, 19, 3930, 6837, 106211, 316, 882, 7049, 4134, 177, 268, 378, 1723, 127427, 12, 58020, 268, 378, 211232, 9956, 94940, 12, 7325, 3668, 44, 647, 3716, 58, 268, 378, 117772, 80217, 12, 378, 25, 571, 10901, 669, 4, 159, 5, 25, 86245, 378, 131514, 15300, 12, 6121, 19, 1208, 169, 6837, 127, 3519, 2793, 882, 783, 268, 118222, 23093, 710, 17017, 37826, 22753, 4944, 74806, 80453, 54260, 2882, 7265, 122133, 1982, 130363, 15350, 16932, 109636, 48253, 2808, 5, 119055, 39083, 4484, 16667, 194885, 5666, 74806, 119718, 33809, 2865, 43178, 163139, 46050, 49597, 13159, 37640, 5666, 1470, 16175, 29259, 4944, 5, 1285, 8248, 5666, 37826, 4484, 48340, 2190, 2932, 42493, 22680, 54260, 28726, 1982, 19532, 29259, 23405, 37016, 905, 20911, 190800, 54745, 2865, 6, 195054, 46464, 4944, 46545, 5666, 6, 26394, 134696, 29771, 98071, 2648, 55823, 57619, 16932, 1644, 37640, 5666, 364, 88917, 77188, 6, 115536, 2932, 137, 2702, 119718, 29766, 23269, 2865, 155, 45521, 50853, 3131, 22426, 15907, 39083, 1470, 67854, 6, 113889, 2865, 43178, 17268, 5666, 11265, 6319, 54260, 101608, 192956, 2442, 364, 75230, 4944, 4484, 29259, 2882, 4, 97483, 15231, 2808, 23269, 6, 29171, 39083, 29259, 4113, 119718, 23269, 5, 10069, 202731, 24621, 4, 17824, 75230, 4113, 167048, 14081, 5666, 151614, 1982, 5666, 44917, 200117, 43449, 54260, 104238, 185000, 1285, 6681, 119718, 33809, 152848, 18415, 4, 7265, 4269, 54595, 2932, 6681, 25222, 160687, 146873, 4, 7265, 119055, 114436, 40697, 70695, 20260, 29259, 2882, 5666, 132025, 8903, 105235, 146873, 2190, 5666, 130363, 15350, 18415, 3373, 39083, 2648, 26632, 5666, 4, 199145, 194885, 5666, 6235, 147713, 5666, 22639, 121193, 75230, 1644, 5666, 3069, 5666, 75230, 111137, 13982, 54260, 18415, 5960, 6, 159696, 1982, 29060, 28726, 4944, 4, 130170, 19024, 25207, 199720, 200117, 119718, 39083, 65482, 4, 68889, 72520, 29766, 125897, 6319, 39083, 136108, 13159, 5, 26217, 16932, 28714, 5666, 37826, 6, 72841, 23269, 73381, 22426, 2882, 1285, 1470, 75230, 2932, 5666, 4, 6235, 75290, 2882, 9934, 29259, 5666, 1751, 159696, 164863, 4, 7265, 17160, 29259, 132025, 8903, 2932, 120467, 65482, 2050, 6319, 137377, 22639, 51963, 9934, 29259, 28320, 4, 6235, 4484, 5666, 54260, 2882, 29659, 9934, 29259, 5666, 6, 105235, 164863, 4, 6235, 119718, 39083, 2882, 22753, 4944, 657, 54260, 2932, 2932, 32611, 1470, 9934, 29259, 2882, 4, 2181, 170479, 107020, 42493, 46050, 30741, 1470, 18640, 1285, 1470, 75230, 5666, 5666, 4151, 115536, 4484, 62067, 37640, 5666, 9721, 48350, 35596, 65482, 2882, 19024, 4944, 5, 6093, 37826, 22753, 4944, 1751, 159696, 2442, 1470, 29434, 54260, 6235, 97634, 5666, 2190, 5666, 19532, 137377, 8903, 119718, 29766, 150020, 21776, 2865, 41764, 43178, 104238, 144754, 1470, 29259, 4852, 37640, 5666, 9934, 29259, 5666, 14779, 29025, 5666, 5, 163139, 190800, 1470, 23050, 22426, 1644, 37826, 7369, 6235, 905, 43178, 21776, 2882, 45521, 50853, 86733, 2702, 3496, 14081, 26632, 5, 35189, 45521, 50853, 86733, 3056, 3069, 8903, 2932, 26632, 8903, 5666, 7265, 1470, 29259, 1644, 125897, 81414, 2882, 4, 37826, 22753, 1982, 1470, 29259, 5666, 8903, 1982, 75230, 2932, 5666, 4, 2190, 111137, 506, 75230, 1982, 5666, 54745, 2865, 20632, 2865, 65482, 2882, 41764, 43178, 104238, 37640, 5666, 137, 35189, 7369, 2648 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 98252, 20961, 25046, 195054, 54260, 98833, 1054, 16932, 28714, 23269, 5666, 130170, 5666, 17190, 61541, 4113, 5, 17268, 5666, 1470, 119055, 29259, 2882, 10213, 21338, 37826, 22753, 4944, 6235, 8300, 75230, 2932, 5666, 4, 163139, 1470, 16175, 171433, 37640, 5666, 1470, 54260, 5666, 3373, 110129, 23269, 68561, 1470, 10184, 55546, 12, 2451, 119055, 46646, 2451, 36419, 2451, 6093, 27, 119055, 46646, 2451, 36419, 2451, 4113, 2451, 6093, 27, 81414, 2451, 24295, 2451, 4484, 43178, 27, 26217, 16932, 2865, 123844, 6681, 23822, 6093, 18415, 4, 122133, 1982, 90536, 152848, 1470, 75230, 2932, 5666, 151614, 1982, 5666, 22753, 4944, 98252, 23269, 63593, 115536, 5, 758, 2808, 24295, 9934, 29259, 5666, 22753, 88660, 164863, 194885, 5666, 74806, 119718, 98229, 43178, 43449, 75230, 4113, 119055, 39083, 116604, 28726, 4944, 7508, 75230, 1982, 4, 2190, 80453, 29259, 2702, 2932, 37640, 5666, 17824, 182759, 2882, 5666, 4, 46654, 98071, 43178, 2442, 125897, 147582, 21847, 37640, 5666, 67826, 75290, 6235, 29111, 29766, 114436, 7369, 2648, 4, 8903, 9719, 29659, 7265, 9915, 54260, 5, 64044, 194885, 1470, 75230, 2932, 5666, 151614, 1982, 5666, 22753, 4944, 6235, 121865, 5666, 6428, 29259, 48253, 40697, 1751, 159696, 25207, 17824, 182759, 2882, 5666, 4, 22680, 98071, 6093, 6681, 9934, 29259, 5666, 9356, 174410, 54260, 4, 4151, 113889, 4944, 292, 364, 41595, 6093, 11265, 2190, 5666, 163139, 35189, 10184, 2932, 7201, 29766, 13497, 5, 2808, 24295, 9934, 29259, 5666, 6681, 23822, 7682, 13497, 5666, 874, 75230, 1644, 4151, 46590, 2882, 7369, 1470, 22753, 95564, 29259, 2882, 5, 22639, 1285, 6, 113889, 4852, 192956, 2442, 21374, 34709, 2882, 5, 22639, 220273, 21847, 46654, 34533, 107020, 1470, 17190, 130929, 30750, 119055, 20961, 141564, 29259, 2882, 5, 107020, 68313, 6235, 119718, 29766, 5666, 17824, 23174, 5, 7369, 37826, 132025, 8903, 506, 75230, 1982, 5666, 1751, 119718, 52480, 43178, 5, 1285, 5332, 46244, 3056, 19532, 75230, 161321, 31467, 5666, 130170, 1285, 6, 131445, 4, 22753, 4944, 19532, 75230, 2702, 8903, 2932, 69181, 29659, 27, 2190, 2932, 7369, 4, 221067, 70598, 112711, 4, 1470, 54260, 8903, 90536, 1982, 5666, 364, 141847, 43178, 22639, 35189, 1644, 33809, 23741, 5666, 5, 26217, 16932, 28714, 5666, 97483, 22426, 2882, 7265, 1285, 364, 35596, 9934, 29259, 5666, 1470, 75230, 75578, 29659, 5666, 16175, 54260, 1644, 182275, 12, 6, 150839, 54260, 47332, 6, 72841, 9934, 29259, 5666, 198754, 4113, 364, 62067, 4, 235466, 132025, 7265, 11265, 9356, 2865, 6, 34882, 5666, 37640, 5666, 4151, 7972, 20260, 6093, 4, 6, 143409, 74004, 2865, 34076, 29060, 7369, 11265, 6, 34882, 5666, 31249, 120467, 4, 9356, 2865, 895, 91275, 75230, 2932, 5666, 4, 1285, 145813, 31623, 22426, 23174, 6093, 4, 4231, 16870, 5666, 6, 223390, 6093, 9356, 46464, 83182, 27, 10069, 21776, 80885, 364, 62067, 117641, 2882, 19532, 137377, 2190, 2932, 43449, 29259, 47332, 364, 141847, 43178, 4, 163139, 1470, 46654, 91595, 1644, 17268, 5666, 40653, 8903, 1982, 75230, 18415, 2882, 16175, 54260, 2932, 5, 25491, 96256, 22426, 2882, 7369, 7265, 4151, 130154, 6093, 364, 62067, 1285, 198754, 4113, 5, 7369, 235466, 22753, 132025, 1982, 26632, 198754, 5666, 6, 162785, 1644, 4, 163139, 1470, 34072, 83182, 4, 83066, 2882, 7369, 194885, 6, 223390, 6093, 1470, 33809, 2050 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4151, 22426, 75230, 39293, 2882, 7265, 220224, 113743, 198754, 5666, 14779, 150037, 29766, 34709, 5, 119718, 710, 35189, 6, 73381, 13497, 7369, 194885, 6681, 23822, 6093, 18415, 163139, 49597, 13159, 4, 6681, 159696, 1982, 18415, 7265, 1285, 23269, 55823, 20315, 87311, 35189, 28726, 4944, 4, 7243, 77188, 7265, 1285, 1751, 119718, 20961, 36723, 22426, 1644, 43178, 22639, 32054, 120467, 175221, 22492, 127583, 2190, 5666, 43449, 29259, 47332, 6, 186461, 5666, 22444, 98071, 4484, 7265, 6681, 1644, 29771, 7201, 65482, 1470, 75230, 2932, 5666, 5, 6093, 2205, 22639, 132025, 2865, 115536, 5, 13159, 107776, 19532, 29259, 5666, 4151, 54745, 4852, 47750, 59461, 81444, 4484, 16932, 5, 107020, 6, 62067, 39340, 2932, 5666, 4269, 54260, 2882, 4151, 37271, 2702, 39083, 127731, 125830, 75290, 155, 45521, 50853, 86733, 191795, 158969, 43178, 88660, 5, 2451, 3069, 2865, 6319, 137377, 1470, 75230, 4944, 657, 54260, 2932, 5666, 1470, 29259, 4852, 32, 292, 129165, 98833, 4151, 45521, 50853, 86733, 127461, 4, 292, 119718, 710, 119055, 29060, 11265, 564, 68561, 75230, 122868, 4, 119055, 2808, 36326, 119718, 21292, 29771, 88660, 17160, 64567, 29766, 142429, 17645, 4, 14856, 6, 141353, 7201, 32, 6093, 119055, 141943, 2882, 39384, 4944, 1751, 75230, 5666, 6, 159696, 2932, 5666, 54745, 2865, 3069, 2882, 81444, 4484, 16932, 1470, 9424, 238144, 2882, 5666, 874, 39083, 2190, 5666, 148346, 2808, 119718, 29259, 4852, 2882, 7265, 5666, 364, 62067, 32611, 221067, 70598, 112711, 43178, 12, 2451, 1285, 32887, 2865, 149364, 2808, 29631, 2205, 220224, 6093, 1470, 364, 75230, 107581, 4, 7369, 29659, 42493, 1157, 2932, 37826, 30473, 4944, 9356, 107020, 120202, 190135, 4151, 6, 73906, 48253, 29631, 8300, 37640, 5666, 874, 75230, 1644, 27, 199145, 4, 119055, 76526, 13458, 29766, 17645, 4, 119055, 29060, 11265, 564, 68561, 75230, 1644, 5666, 32, 2442, 6093, 81444, 4484, 16932, 3056, 1470, 15622, 148346, 6093, 4, 7369, 29659, 19532, 75230, 2702, 37640, 5666, 1470, 9416, 159696, 32206, 131044, 1470, 75230, 68313, 1470, 40026, 86733, 10339, 75230, 21847, 32611, 4151, 117902, 30473, 42180, 5, 6, 210674, 7369, 12, 137, 64044, 96743, 188201, 144754, 4269, 54595, 5666, 27, 7265, 199145, 364, 54260, 21295, 874, 43178, 220224, 24846, 5, 35596, 59919, 2882, 7369, 42493, 9356, 50853, 54745, 2865, 45521, 50853, 86733, 5, 7369, 21422, 2882, 7265, 1054, 43178, 10498, 39083, 6093, 113889, 4852, 1285, 163139, 194734, 38054, 125897, 9181, 23741, 2190, 5666, 6681, 210674, 22753, 4944, 163139, 35189, 12, 137, 25491, 4231, 163139, 50853, 89112, 14081, 22426, 54196, 874, 43178, 1285, 29566, 68697, 16667, 292, 1470, 75230, 4944, 42493, 172590, 72577, 6093, 874, 29259, 10813, 27, 9356, 1285, 60071, 40697, 6, 88660, 4852, 34882, 5666, 3056, 6235, 159696, 5666, 1470, 6, 87311, 20315, 15, 54595, 75230, 4151, 8300, 54260, 1644, 5666, 1285, 5950, 18415, 657, 29259, 2882, 16, 13342, 13342, 15949, 50856, 5666, 1285, 21776, 119718, 39083, 710, 34365, 98071, 239162, 164863, 3069, 1285, 6, 238144, 2442, 1644, 43178, 37640, 5666, 220224, 123073, 45521, 38054, 194706, 54260, 19532, 905, 14857, 28726, 22426, 2932, 40653, 1285, 64890, 2702, 5666, 27, 95298, 4269, 54595, 5666, 24846, 54595, 75230, 4, 4269, 54260, 188301, 37640, 5666, 1470, 54260, 5666, 6, 37016, 145813, 15907, 39083, 78278, 5666, 9424, 238144, 18415 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 16175, 115536, 7369, 2190, 14325, 54260, 47332, 132025, 7508, 54260, 2648, 5666, 3069, 22753, 1982, 5950, 54260, 1211, 12, 2451, 95455, 3056, 117902, 3131, 29060, 4, 6, 238144, 165607, 1285, 115556, 506, 29259, 2882, 4269, 54260, 2882, 160238, 75230, 2702, 5, 8947, 194885, 5666, 3069, 31467, 8903, 17494, 2865, 43178, 119055, 46646, 6093, 16629, 21066, 4113, 4944, 4, 1470, 6093, 137377, 46985, 23269, 5666, 4, 119055, 29259, 178107, 2702, 213952, 4113, 68889, 2865, 26632, 5666, 4, 292, 1285, 115556, 506, 29259, 2882, 116486, 23847, 13159, 54196, 27, 35189, 81444, 4484, 16932, 37826, 1751, 75230, 5666, 6, 238197, 32611, 5666, 6319, 39083, 5, 37826, 107020, 4151, 45521, 50853, 86733, 6235, 22680, 4113, 98833, 12, 2451, 11265, 105884, 2882, 6, 159696, 2932, 5666, 1470, 41764, 20961, 69803, 48253, 32, 2451, 9934, 29259, 42493, 6319, 54260, 2932, 155787, 98071, 64260, 38, 5, 5, 199145, 3056, 7265, 1285, 40653, 125897, 6681, 96743, 188201, 32, 35189, 81444, 4484, 16932, 10184, 21295, 4, 47833, 7369, 37826, 137, 2808, 88680, 8903, 4852, 14081, 8300, 5666, 2909, 21422, 2882, 7369, 163139, 35189, 144754, 4151, 3523, 68558, 1285, 212911, 18415, 9181, 23741, 5, 2451, 1470, 364, 41595, 40697, 115222, 21295, 2205, 364, 29259, 13497, 5, 6681, 1285, 51963, 70695, 20260, 4113, 4, 2190, 67223, 54595, 905, 50856, 93497, 6681, 1285, 4, 199145, 6, 186461, 5666, 7265, 17824, 75230, 2702, 364, 31623, 4, 2205, 95455, 42493, 72577, 5, 6093, 4269, 54260, 2882, 3069, 3069, 2865, 3373, 12666, 22426, 4, 132025, 119055, 13845, 30741, 8947, 194885, 5666, 1470, 144532, 8903, 13982, 54260, 2882, 163139, 3131, 143409, 43178, 1285, 167048, 7682, 4, 199145, 202446, 2932, 1285, 4269, 29771, 22680, 29766, 65482, 6, 61541, 37640, 5666, 19024, 176761, 48350, 35596, 5, 7369, 204982, 1470, 6, 98055, 32611, 5666, 21776, 29771, 9719, 14303, 4, 199145, 3056, 3069, 8903, 3131, 203749, 5666, 3069, 2865, 3373, 12666, 22426, 4, 10705, 5666, 6235, 23269, 56169, 1470, 75230, 2702, 12, 2451, 6, 238144, 29171, 4, 24012, 35189, 123329, 37640, 5666, 20632, 1644, 5, 6, 105780, 7201, 5, 2451, 97483, 4484, 6, 97634, 48253, 113889, 4, 97483, 4484, 6, 97634, 48253, 113889, 38, 292, 6, 225975, 2882, 4151, 45521, 50853, 86733, 7265, 2808, 22753, 7201, 8300, 4, 292, 21374, 2865, 26632, 55242, 13805, 17824, 20961, 115222, 21295, 5, 6093, 6681, 10918, 2882, 32611, 22753, 4944, 43649, 29259, 59919, 1054, 29259, 5666, 71441, 7682, 5666, 3496, 14081, 26632, 5, 2451, 3056, 199145, 119055, 29060, 11265, 4, 119055, 76526, 87309, 142429, 17645, 4, 564, 68561, 75230, 1644, 5666, 16175, 171433, 7265, 6, 64260, 142429, 63593, 32, 7265, 5666, 6681, 96743, 63532, 5666, 32, 6093, 119055, 29259, 4852, 2882, 132025, 7265, 5666, 364, 62067, 1751, 75230, 5666, 3069, 2865, 29434, 15907, 5666, 874, 39083, 5960, 221067, 70598, 112711, 43178, 5, 5666, 29766, 4151, 364, 218241, 16932, 6, 35596, 59919, 2882, 163139, 35189, 42493, 5, 966, 2451, 9213, 4944, 151614, 1982, 9356, 7508, 9221, 6235, 22680, 4113, 98833, 12, 163139, 84087, 5666, 22753, 1982, 1285, 40653, 125897, 6681, 96743, 188201, 32, 119055, 33809, 194885, 5666, 220224, 32, 34322, 54745, 2865, 6, 35596, 59919, 2882, 4151, 45521, 50853, 86733, 7265, 1470, 4269, 90848, 75578, 101251 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13342, 211630, 114436, 29659, 52480, 12, 2451, 199145, 170479, 7265, 220224, 9934, 29259, 5666, 32, 6681, 220224, 2205, 1751, 75230, 5666, 6681, 3131, 22426, 99766, 3069, 9934, 29766, 2932, 5666, 5, 6093, 6, 225975, 2882, 48494, 203232, 22444, 98071, 4484, 4, 95298, 2181, 10184, 21295, 22753, 4944, 22639, 4151, 364, 54260, 168155, 7682, 29259, 2882, 17268, 5666, 194885, 7508, 54260, 2648, 4, 6150, 7369, 6, 75230, 1644, 7265, 21776, 2882, 1470, 1751, 97634, 1982, 16175, 171433, 54745, 2882, 81444, 710, 16932, 5, 2451, 2190, 5666, 874, 54260, 21087, 14857, 117687, 1644, 6, 141353, 7201, 220224, 9934, 29259, 5666, 42493, 620, 91595, 5, 119055, 2808, 25207, 46685, 4, 163139, 2808, 24295, 46601, 34882, 4, 3056, 7508, 99766, 5666, 6235, 119718, 21292, 27, 20315, 2865, 81444, 20911, 93497, 123736, 148346, 4113, 2932, 212484, 18415, 1470, 75230, 2932, 5666, 29434, 54260, 43178, 22753, 4944, 40653, 4, 163139, 34076, 29766, 164874, 28726, 4944, 4, 1470, 144532, 220224, 6093, 1470, 54260, 2932, 114436, 123736, 111996, 18415, 4, 9934, 29259, 5666, 6, 113889, 4852, 1751, 144532, 22426, 2882, 22753, 4944, 1470, 29259, 5666, 5, 68561, 194885, 6319, 22492, 22426, 25491, 119718, 29771, 13805, 65482, 3944, 22426, 5666, 16888, 2442, 21295, 22753, 4944, 1470, 10498, 54260, 10813, 12, 2451, 9213, 4944, 49920, 95455, 7369, 29659, 4, 6150, 37640, 5666, 874, 54260, 21087, 2865, 4269, 54260, 2882, 1470, 119055, 2808, 25207, 24621, 9181, 23741, 5, 2451, 3523, 54260, 5666, 4, 119055, 76526, 87309, 142429, 17645, 4, 16175, 75230, 18415, 68889, 150020, 81444, 4944, 42493, 6319, 54260, 5666, 364, 31623, 5, 7961, 44458, 186145, 21295, 1470, 3523, 29259, 4113, 220075, 38, 35189, 81444, 4484, 16932, 4269, 54260, 2882, 6681, 1982, 29259, 1285, 564, 29060, 28726, 4944, 10339, 12, 1285, 70695, 20260, 4113, 2190, 2932, 105884, 2882, 13342, 22753, 4944, 163139, 35189, 12, 2451, 1470, 204403, 23269, 2865, 4, 14856, 37826, 9356, 141353, 23741, 15864, 30741, 119055, 2808, 25207, 46685, 22639, 46601, 34882, 4, 4852, 54260, 6, 159696, 122868, 81444, 1470, 23174, 2808, 57619, 5666, 4151, 22680, 29766, 5666, 6, 159696, 48974, 5, 3056, 7265, 4269, 54595, 5666, 4, 6, 225975, 126934, 4, 192183, 24621, 2932, 1470, 75230, 4944, 1470, 75230, 2702, 120749, 5666, 32611, 4231, 114436, 6, 159696, 21295, 1470, 5, 1751, 54260, 2932, 12023, 35044, 115556, 5666, 32, 2451, 1470, 119718, 2808, 20315, 194885, 5666, 220224, 9424, 79238, 205416, 1982, 5666, 5, 1285, 194885, 5666, 1751, 75230, 5666, 6, 150271, 125897, 4, 34076, 29259, 51172, 24295, 64890, 5666, 54260, 2648, 5666, 27, 2808, 88680, 5666, 45521, 50853, 86733, 2702, 64890, 57619, 5666, 657, 29259, 1982, 3496, 119718, 69803, 29060, 22753, 1982, 1470, 21422, 16932, 5, 2451, 11265, 119055, 29060, 20033, 34076, 54260, 18406, 4, 119055, 2808, 36326, 195007, 506, 29766, 29766, 17645, 4, 9213, 1982, 113743, 37640, 5666, 7369, 29659, 13497, 29771, 2932, 4, 22753, 13497, 1285, 107189, 4944, 29771, 24621, 37826, 22753, 4944, 123736, 148346, 20616, 75230, 1982, 5666, 5, 9424, 29259, 2882, 6235, 159696, 5666, 22753, 4944, 132025, 98055, 22492, 7201, 5950, 6093, 1644, 54260, 9424, 29766, 46598, 37640, 5666, 115374, 4, 32611, 119055, 33809, 27105, 2932, 4, 32611, 212911, 7682, 13159, 4, 32611, 564, 137119, 27, 29771 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75578, 4, 292, 7369, 204982, 163139, 35189, 1470, 21422, 16932, 4, 292, 1470, 119718, 710, 46590, 564, 137119, 151614, 1982, 9213, 4944, 6, 113889, 4944, 4484, 54260, 5666, 2865, 39083, 42493, 6235, 104149, 5, 8947, 170479, 6150, 75230, 10339, 29259, 150020, 132025, 1470, 3373, 29771, 7201, 37640, 5666, 874, 75230, 1644, 4, 37640, 5666, 113889, 4852, 27, 1285, 45521, 57619, 16932, 194885, 5666, 6235, 119718, 29766, 5666, 4, 163139, 6681, 4852, 83957, 159696, 2442, 16932, 1470, 29259, 4852, 5666, 27, 35189, 45521, 50853, 86733, 105884, 2882, 28415, 5, 7511, 2882, 5, 7369, 52059, 2882, 19532, 88680, 54745, 2865, 81444, 20911, 93497, 87637, 21338, 3069, 1285, 3373, 39083, 3149, 26632, 5666, 4, 199145, 6, 186461, 5666, 22639, 364, 31623, 2190, 5666, 22639, 620, 33809, 46685, 4, 2190, 5666, 9934, 29259, 5666, 181615, 43449, 29259, 47332, 43649, 54260, 5666, 32611, 5666, 81444, 20911, 93497, 6319, 218241, 20961, 20315, 5, 7369, 43649, 98229, 21295, 7265, 1285, 7972, 22426, 5666, 4, 4151, 113889, 1982, 6, 225975, 2882, 7369, 122133, 1982, 7265, 160751, 29060, 2190, 5666, 122133, 1982, 7265, 10339, 29771, 35189, 17310, 12, 2451, 2190, 5666, 3069, 199145, 37826, 874, 43178, 95455, 1470, 23174, 2808, 57619, 5666, 6, 61397, 20961, 23741, 32, 9424, 13845, 54260, 98833, 132025, 2808, 114564, 115556, 5666, 4, 6235, 107182, 1751, 75230, 5666, 9934, 29259, 5666, 6235, 3111, 31467, 2932, 5, 363, 36326, 22426, 2882, 1751, 75230, 1982, 4151, 81444, 4484, 16932, 28415, 42493, 6319, 54260, 5666, 9181, 23741, 22639, 22753, 4944, 5, 7369, 6681, 506, 54260, 47332, 194885, 1470, 75230, 2932, 5666, 3069, 2865, 6, 105235, 164863, 2190, 5666, 6, 212484, 2882, 220224, 19532, 137377, 3069, 2865, 45521, 50853, 86733, 12, 2451, 199145, 364, 54260, 16803, 12, 137, 24621, 37826, 95455, 9213, 96256, 57619, 5666, 42493, 6, 61397, 20961, 23741, 155, 32, 2451, 6, 64260, 4, 5, 14004, 1982, 874, 54260, 5666, 1285, 107189, 4944, 29771, 24621, 4, 292, 4151, 45521, 50853, 86733, 6, 225975, 2882, 1751, 75230, 5, 2648, 120467, 7265, 44458, 40653, 8300, 29259, 2932, 213952, 6093, 67826, 2865, 292, 14856, 37826, 185000, 1470, 32887, 1644, 17268, 5666, 4151, 6, 159696, 21295, 5, 119055, 6093, 37826, 37640, 5666, 54745, 2865, 1470, 3523, 34365, 5666, 32, 17268, 5666, 6150, 13845, 107581, 7508, 54260, 4667, 6, 212484, 2882, 22753, 4944, 9356, 2865, 81444, 4484, 16932, 19532, 137377, 1285, 6, 113889, 4852, 5, 6, 150839, 54260, 47332, 6, 72841, 17288, 104238, 1285, 6, 148346, 172398, 23269, 4, 7369, 163139, 1644, 199145, 6, 225975, 5666, 2190, 5666, 43449, 29259, 47332, 7265, 112711, 123736, 150020, 874, 75230, 1644, 5, 7369, 4269, 54260, 2882, 3069, 2865, 163139, 177243, 4, 119055, 33809, 8947, 43649, 54260, 2882, 1470, 78104, 31249, 7265, 2808, 97483, 28317, 29060, 39340, 5, 4151, 45521, 50853, 86733, 4269, 54260, 2882, 1470, 15907, 6, 113889, 4944, 12, 4151, 81444, 4484, 16932, 19302, 29259, 47332, 13342, 130170, 22753, 1982, 55242, 5666, 7213, 151227, 2190, 2932, 55242, 56169, 22753, 4944, 32611, 107020, 5, 7369, 6, 225975, 2882, 1470, 75230, 205416, 131044, 13456, 12, 2451, 107189, 4944, 29771, 195164, 83066, 5666, 22753, 4944, 37640, 5666, 1470, 54260, 159377, 132025, 4, 22753, 13497, 115556, 5666, 194885, 2932, 64044 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 112711, 32611, 4151, 7369, 2648, 4, 22753, 13497, 8947, 3056, 6681, 112711, 7265, 199145, 3069, 1751, 203749, 5666, 22753, 4944, 12, 22680, 98071, 6093, 7265, 43649, 54260, 59461, 4, 7265, 9721, 171433, 39293, 4, 182261, 292, 7265, 1470, 6093, 137377, 17410, 23269, 5666, 4, 7265, 85465, 70598, 26632, 5666, 4, 7265, 4269, 54595, 5666, 27, 6093, 22518, 29259, 47332, 130170, 21776, 26394, 22426, 2882, 83182, 45521, 50853, 86733, 364, 54260, 47332, 37640, 5666, 4151, 5332, 46244, 7213, 16932, 5666, 6, 74004, 27105, 2190, 5666, 657, 87442, 1285, 3131, 87311, 28726, 1751, 46545, 109316, 4944, 41764, 2808, 22426, 9221, 5, 2451, 2190, 2932, 9213, 1982, 151614, 1982, 6235, 2865, 54260, 13497, 4, 119055, 76526, 9721, 29766, 17645, 4, 47833, 78891, 39083, 194885, 5666, 96302, 3131, 5666, 6235, 159696, 5666, 51328, 152185, 4, 151614, 1982, 2932, 220224, 22753, 4944, 74806, 203749, 5666, 5, 25491, 2865, 81444, 4484, 16932, 43449, 54260, 40920, 22753, 1982, 1470, 10498, 54260, 10813, 5, 7369, 37826, 1751, 75230, 5666, 6235, 188301, 2882, 22518, 29259, 1982, 107829, 21776, 26394, 22426, 2882, 5666, 4, 22444, 20911, 7369, 22639, 364, 62067, 22639, 19532, 17160, 37640, 5666, 4151, 9424, 238144, 16932, 2190, 5666, 6, 225975, 2882, 12, 2451, 81444, 151614, 126934, 17824, 142429, 1470, 6, 97634, 13159, 5, 29771, 75578, 7369, 4151, 39293, 2882, 4, 163139, 4151, 45521, 50853, 86733, 17806, 20911, 32611, 107020, 123736, 150020, 2190, 2932, 17160, 29259, 47332, 67826, 1644, 5, 35189, 81444, 4484, 16932, 37826, 1470, 117902, 2442, 874, 39083, 1470, 564, 212484, 6235, 97634, 5666, 3944, 23741, 37640, 5666, 874, 75230, 1644, 68561, 1285, 364, 35596, 4, 6235, 3111, 2865, 43178, 37640, 5666, 6, 147502, 7508, 120467, 46711, 29259, 17160, 7544, 2865, 2932, 17288, 46685, 1644, 4, 19532, 29259, 23405, 13845, 54260, 98833, 2181, 22639, 115222, 3131, 65482, 2190, 5666, 22753, 4944, 6, 72841, 190135, 5, 2451, 3496, 26, 85465, 200117, 6235, 119718, 39083, 2882, 1470, 75230, 51437, 6093, 5666, 1470, 70695, 20260, 710, 4, 95298, 14856, 192183, 42493, 12, 72649, 41595, 40697, 115222, 21295, 5, 2451, 9213, 4944, 151614, 1982, 874, 75230, 25207, 4, 1470, 75230, 1982, 7265, 54745, 2865, 6681, 28714, 63532, 5666, 119055, 29060, 22753, 4944, 132025, 506, 54260, 1982, 16747, 120467, 207013, 4, 199145, 7265, 4231, 65482, 4, 119055, 13845, 9213, 1982, 1470, 177282, 75230, 150020, 37640, 5666, 6, 170098, 20961, 29060, 5, 5, 2451, 199145, 2389, 35189, 81444, 4484, 16932, 3056, 6235, 90536, 1982, 5666, 43649, 54260, 5666, 9356, 221067, 70598, 112711, 43178, 6, 198087, 137377, 16667, 5, 6, 150839, 64260, 132025, 8903, 3111, 2865, 43178, 54745, 2865, 70695, 20260, 16667, 9174, 62067, 9356, 2865, 6428, 75230, 55823, 4484, 4, 19532, 75230, 2702, 8903, 3111, 24621, 3111, 29259, 5666, 220224, 61397, 2190, 5666, 6235, 8300, 54260, 21295, 5, 2451, 182261, 3056, 9356, 107020, 4151, 6, 172060, 75386, 44458, 123736, 7201, 16932, 4, 95298, 1470, 99509, 6093, 2451, 6093, 17806, 20911, 1470, 127583, 54745, 2865, 46601, 34882, 4, 4151, 39293, 2882, 1285, 32054, 120467, 46545, 4113, 129165, 16747, 4852, 22639, 1285, 119718, 710, 177243, 43178, 2190, 5666, 6319, 77188, 22753, 1982, 120202, 4, 292, 1470, 75230, 1982, 4151, 6, 172060, 75386, 119055, 29060, 22753, 4944 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9356, 9213, 66168, 2882, 17288, 104238, 12, 6, 113889, 4944, 55242, 13805, 6150, 54260, 61397, 6681, 5666, 115536, 4, 119055, 29060, 7369, 43449, 29259, 1982, 5666, 17190, 1982, 5666, 5, 2451, 2190, 2932, 1470, 75230, 1982, 42493, 32, 35189, 81444, 4484, 16932, 3069, 20911, 7265, 1285, 6, 162785, 1644, 43178, 12, 2451, 199145, 192183, 43178, 20033, 9174, 13845, 150020, 32, 42493, 7369, 3056, 4151, 184639, 4, 42493, 7369, 95766, 4151, 141879, 2442, 5, 2451, 119055, 2808, 46646, 101608, 27, 119055, 46646, 36419, 4113, 6093, 27, 81414, 20260, 4113, 43178, 12, 12, 12, 2451, 1470, 85465, 4, 2190, 5666, 199145, 3056, 7265, 5666, 86510, 905, 131002, 167622, 5666, 32, 7369, 20835, 46685, 2882, 42493, 32, 2451, 3523, 54260, 5666, 4, 7369, 564, 29060, 133190, 123736, 23741, 81414, 20260, 43178, 5, 192183, 178748, 6, 73381, 86733, 32, 5, 5, 25491, 2865, 45521, 50853, 86733, 564, 29060, 22753, 4944, 32611, 5666, 3069, 23405, 12, 137, 88660, 5666, 874, 43178, 6, 73381, 86733, 1285, 1751, 159696, 25207, 58679, 20260, 4113, 3069, 23269, 2865, 43178, 37640, 16747, 112711, 43178, 4, 120202, 3131, 7682, 5666, 220224, 22639, 6, 105235, 21338, 4, 22639, 1470, 160751, 29259, 20315, 32, 69872, 35189, 81444, 4484, 16932, 10184, 21295, 4, 6150, 4151, 45521, 50853, 86733, 37826, 6235, 119718, 39083, 2882, 199145, 6, 225975, 5666, 4, 23847, 6319, 77188, 22753, 4944, 101251, 1751, 75230, 5666, 9356, 2865, 16175, 9221, 12, 2451, 199145, 32, 2451, 192183, 874, 43178, 6, 73381, 86733, 1285, 70695, 20260, 4113, 120202, 3131, 7682, 5666, 21374, 5666, 3373, 20961, 7511, 32, 19532, 75230, 49268, 905, 55823, 44458, 1470, 119718, 97634, 87311, 44693, 4, 202446, 2932, 220224, 4, 292, 9213, 1982, 874, 54260, 5666, 1285, 4, 199145, 7265, 364, 31623, 4, 144754, 17824, 75230, 2702, 364, 31623, 4, 292, 160238, 2882, 22639, 1470, 1751, 104855, 12, 216333, 4113, 8947, 5666, 2190, 5666, 216333, 20616, 76526, 2932, 29771, 107581, 4, 119055, 2808, 25207, 46685, 27, 35189, 81444, 4484, 16932, 22753, 2648, 21295, 22753, 4944, 12, 2451, 4231, 16870, 5666, 874, 39083, 4, 6, 159696, 2932, 9213, 1982, 163139, 1644, 7508, 54260, 2648, 5666, 190800, 5666, 223779, 7201, 171433, 4, 3056, 6681, 182759, 1751, 16932, 17310, 5, 95455, 3056, 40653, 8903, 121865, 5666, 4151, 60980, 69801, 4, 95455, 194885, 5666, 1470, 75230, 2702, 8903, 23822, 7682, 13497, 1285, 6, 109316, 96302, 1211, 5, 20033, 83066, 5666, 107189, 4944, 29771, 51723, 292, 2190, 5666, 1751, 75230, 5666, 37640, 5666, 64890, 2702, 12, 2451, 9213, 4944, 119055, 13845, 6, 80453, 33809, 119718, 5666, 65902, 183216, 5, 2808, 268, 37271, 35189, 81444, 4484, 16932, 3056, 1470, 159696, 4484, 5, 22639, 206105, 238419, 1470, 144532, 3056, 1470, 75230, 25491, 159696, 4484, 7508, 6093, 45521, 50853, 86733, 5, 2190, 5666, 32611, 1285, 564, 29060, 28726, 4944, 194885, 5666, 6235, 90536, 1982, 5666, 6, 186461, 5666, 12, 21087, 7916, 69181, 123329, 4, 6, 88660, 4852, 34882, 5666, 2190, 2932, 137382, 73418, 59461, 4, 6681, 119718, 33809, 152848, 18415, 6, 64991, 2932, 54260, 6093, 4, 31249, 905, 46685, 213952, 4113, 86510, 905, 131002, 167622, 4113, 4, 70695, 20260, 4113, 3373, 32829, 2882, 48340, 2190, 5666, 123736, 1982, 29771, 4852, 29171, 13159 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 10705, 5666, 6, 113889, 4944, 1470, 54260, 59461, 9424, 119718, 13456, 5666, 1285, 51963, 4, 4151, 1470, 54260, 59461, 4, 199145, 3056, 6235, 90536, 1982, 5666, 105780, 6, 115536, 4, 4151, 6681, 2702, 98229, 16932, 7265, 4269, 54595, 5666, 4, 4151, 19532, 15231, 44478, 34533, 221067, 70598, 112711, 5, 46985, 22426, 710, 21338, 534, 17268, 5666, 51963, 83066, 163139, 177243, 43178, 3056, 6235, 4484, 90848, 30741, 4151, 1470, 29259, 4852, 123329, 163139, 13497, 6093, 5, 6, 150839, 64260, 22753, 1982, 3069, 8903, 21733, 4113, 22426, 2882, 3069, 1285, 41764, 710, 26632, 13159, 37640, 5666, 1285, 6319, 75230, 46545, 4113, 6, 131445, 4, 74806, 97634, 30741, 2808, 24295, 1285, 145813, 31623, 6, 223390, 6093, 37640, 5666, 1285, 364, 35596, 5, 59919, 10918, 4484, 23847, 69859, 125897, 364, 31623, 37640, 5666, 86510, 905, 131002, 167622, 4113, 37826, 22753, 4944, 160751, 133814, 77188, 144754, 55242, 13805, 23847, 20961, 7682, 5666, 32054, 120467, 2882, 4, 199145, 37826, 123736, 8903, 46590, 2882, 10676, 6, 170098, 20961, 29060, 4, 163139, 12666, 23741, 292, 44458, 1470, 6093, 120467, 2882, 26632, 5, 35189, 212911, 16932, 163139, 13497, 6093, 97634, 2932, 37640, 5666, 16175, 75230, 4852, 13497, 3523, 29259, 5666, 364, 88917, 77188, 22753, 1982, 21660, 29060, 7511, 29766, 5, 2702, 20961, 7511, 5, 2808, 6, 170098, 20961, 29060, 6681, 119055, 114436, 123329, 5, 29771, 83182, 85465, 22849, 5666, 14856, 35044, 13159, 6, 195054, 148346, 5666, 22639, 364, 18640, 4, 74806, 119718, 33809, 2865, 43178, 22639, 20835, 46685, 4, 27909, 4944, 8903, 3131, 119718, 710, 56169, 5, 4151, 46590, 2882, 6, 238144, 4944, 4484, 29259, 2882, 4, 30842, 120202, 8903, 212484, 20260, 29259, 2882, 37640, 5666, 64890, 57619, 20260, 6093, 149364, 2190, 5666, 132025, 8903, 506, 75230, 18406, 138980, 43178, 3069, 22753, 4944, 5, 7369, 29659, 182261, 37826, 22753, 4944, 221067, 70598, 112711, 132025, 20616, 75230, 1982, 5666, 4151, 101296, 49008, 4, 199145, 7265, 107020, 3056, 160238, 8903, 17494, 2865, 43178, 1285, 141879, 18415, 2932, 37640, 5666, 45521, 119718, 2442, 14081, 3496, 75230, 20315, 3131, 5, 7369, 2205, 6235, 147713, 5666, 7265, 122133, 1982, 123736, 7201, 65482, 1470, 75230, 2932, 5666, 4, 8903, 98055, 2882, 32611, 1285, 119055, 114436, 123329, 4, 32611, 1285, 32054, 54260, 192956, 3373, 39083, 2648, 26632, 5666, 4, 163139, 220224, 46440, 5666, 17268, 5666, 6681, 97634, 2932, 7501, 145813, 29060, 22639, 7508, 6093, 112389, 2882, 22639, 6319, 99766, 5666, 5, 2190, 5666, 22639, 6319, 137377, 9356, 14004, 2865, 37826, 6235, 506, 158291, 5666, 22639, 1470, 54260, 5666, 32899, 22492, 83182, 119718, 7682, 1644, 43178, 22753, 1982, 7508, 6093, 121193, 75230, 1644, 37640, 5666, 6, 196332, 36326, 161829, 1211, 5, 6093, 37826, 6681, 6, 75230, 4944, 4151, 4852, 43178, 1285, 117902, 30473, 42180, 32611, 5666, 3373, 97634, 4944, 142429, 4, 54745, 2865, 162726, 2808, 97634, 8300, 119718, 13456, 5666, 4151, 123736, 4852, 123073, 7213, 7511, 2190, 5666, 54745, 2865, 191795, 25207, 119718, 6235, 119718, 29766, 65482, 2865, 6428, 29766, 7201, 6, 153222, 25207, 119718, 13456, 178107, 5, 6093, 4151, 87311, 13497, 22753, 4944, 12, 13159, 3056, 6235, 159696, 5666, 22639, 206105, 193012, 1470, 144532, 6, 113889, 4944, 54745, 2865, 4, 163139, 14856, 37826, 26394, 29060, 2865, 43178 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 80885, 22426, 62067, 183202, 5666, 2190, 5666, 14856, 37826, 107020, 120202, 8903, 7916, 33716, 22639, 6319, 29766, 22426, 24244, 29659, 34557, 27, 26217, 16932, 28714, 5666, 2205, 6, 113889, 4944, 120202, 8903, 3131, 119718, 115536, 5, 107020, 1751, 119718, 710, 47526, 2882, 7508, 6093, 6319, 137377, 5, 72788, 1644, 29259, 47332, 6, 186461, 5666, 5, 163139, 1470, 30842, 2442, 1751, 119718, 710, 46685, 4, 7265, 5666, 117902, 23269, 2865, 19532, 25046, 5, 1211, 418, 10705, 5666, 160238, 8903, 17494, 2865, 43178, 3056, 6, 64260, 199145, 12, 25491, 5666, 115536, 3056, 132025, 8903, 17494, 2865, 43178, 1470, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 37640, 5666, 34654, 119718, 15533, 17645, 29659, 34557, 12, 2451, 137, 13342, 23847, 54260, 2882, 5666, 1285, 9356, 174410, 54260, 43178, 4, 292, 1285, 200795, 4, 9424, 238144, 18415, 2190, 5666, 29434, 710, 18415, 2451, 13342, 2865, 160751, 5666, 10339, 29259, 6093, 1470, 3944, 2808, 20315, 238419, 4, 130170, 29659, 31623, 5666, 1285, 22639, 27720, 194734, 144295, 4, 22753, 141353, 7201, 160238, 115398, 5666, 54745, 2865, 40653, 240863, 40653, 5666, 16175, 29259, 1982, 3373, 97634, 4944, 142429, 5, 7265, 1470, 34482, 64567, 112711, 37640, 5666, 17824, 182759, 2882, 5666, 4, 7265, 1470, 10339, 29259, 6093, 7201, 29766, 506, 122978, 120202, 506, 158291, 5666, 54745, 2865, 3373, 75230, 23269, 2702, 4231, 16870, 5666, 80453, 119718, 905, 3069, 160238, 23269, 2865, 43178, 44458, 132025, 68566, 7201, 155, 27, 10069, 123736, 7916, 89930, 5666, 37640, 2932, 4151, 9356, 174410, 54260, 151614, 1982, 5666, 22753, 4944, 145813, 29060, 6, 195054, 54260, 98833, 620, 29771, 150020, 132, 10069, 141879, 9424, 29259, 2882, 151614, 1982, 2932, 220224, 74806, 123329, 2882, 166464, 2190, 5666, 112389, 2882, 247, 37826, 22753, 4944, 220224, 150271, 29771, 2932, 42493, 6235, 119718, 39083, 2882, 2190, 135469, 54260, 5666, 5, 220224, 194885, 5666, 6235, 147713, 2932, 1470, 29259, 29259, 4113, 104985, 29060, 9213, 12, 119718, 2808, 25207, 24621, 6319, 39083, 13982, 13159, 4, 130170, 6, 112268, 93497, 27, 35189, 224220, 93047, 9221, 37640, 5666, 4151, 184639, 9356, 174410, 54260, 4, 7508, 6093, 60980, 22426, 15907, 112711, 3373, 29766, 218241, 24295, 4, 37826, 6235, 28317, 153222, 2882, 4, 119055, 43178, 4151, 54745, 110970, 48253, 7682, 37826, 107020, 4151, 143409, 2882, 95455, 22426, 2808, 22426, 9221, 1644, 37640, 5666, 1285, 119718, 15533, 17645, 29659, 34557, 12, 2451, 18133, 4, 6319, 109316, 119718, 18133, 1470, 54260, 59461, 4, 119055, 6093, 37826, 124724, 4151, 1644, 75230, 47332, 874, 16011, 119055, 37016, 5666, 32, 4944, 14081, 33809, 710, 4, 182261, 4, 22639, 122133, 75578, 112389, 2882, 38, 32, 6093, 37826, 22753, 4944, 163139, 35189, 3069, 8903, 2648, 87442, 7265, 4151, 6, 88660, 50853, 25207, 2190, 5666, 7265, 5666, 41764, 13845, 36723, 88680, 5666, 6319, 137377, 2190, 5666, 6235, 39248, 137377, 29060, 163139, 1470, 6, 74004, 16932, 6, 75578, 5, 68561, 182759, 2702, 43178, 88660, 4151, 54745, 110970, 48253, 7682, 3056, 95298, 42493, 120202, 8903, 226112, 2882, 5666, 37640, 91275, 29060, 12, 2451, 119055, 2808, 36326, 163139, 2702, 29771, 88660, 17160, 64567, 29766, 142429, 17645, 4, 119055, 2808, 36326, 27, 292, 7369, 37826, 95455, 6, 61397, 225975, 2882, 7265, 1470, 99509, 5666, 874, 75230, 1644, 4, 163139 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 16175, 46590, 4113, 292, 6681, 112711, 1470, 29434, 23174, 192956, 2442, 9356, 61541, 27, 37640, 5666, 6319, 29766, 22426, 24244, 29659, 34557, 27, 2451, 37640, 5666, 119055, 13845, 30741, 6319, 29766, 22426, 24244, 32, 18133, 4, 199145, 14779, 119718, 39340, 126934, 32, 2451, 37640, 5666, 43649, 34557, 4, 6, 64260, 3056, 81444, 1982, 1285, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 4, 292, 22639, 32611, 182759, 2702, 135118, 120467, 364, 62067, 21422, 16932, 2882, 1285, 10498, 39083, 4113, 17190, 194734, 41764, 2808, 22426, 9221, 4, 199145, 4151, 895, 16932, 6093, 22518, 29259, 75578, 37826, 107020, 1470, 98071, 75578, 193120, 5, 292, 3056, 199145, 119055, 29060, 11265, 20033, 1982, 68561, 75230, 1644, 5666, 32, 2451, 4269, 54260, 3069, 5950, 10069, 1751, 119718, 2808, 29025, 4231, 29766, 38, 6, 225975, 9213, 4944, 124724, 4, 216747, 31467, 710, 4, 19532, 75230, 2702, 37640, 50856, 112711, 43178, 38, 35189, 60980, 22426, 15907, 112711, 3373, 29766, 218241, 24295, 37826, 1054, 35189, 6235, 39248, 137377, 29060, 4, 95298, 1285, 132025, 8903, 13342, 16747, 65482, 3944, 40920, 4, 199145, 3056, 6235, 29659, 112711, 43178, 6, 113889, 35596, 37640, 5666, 117902, 23269, 2865, 4, 37826, 107020, 74806, 97634, 12984, 1285, 1470, 75230, 2932, 5, 37826, 7369, 22753, 4944, 1470, 29434, 54260, 6235, 97634, 2932, 4, 34072, 16747, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 1285, 506, 62067, 37640, 5666, 130170, 4151, 6, 88660, 50853, 25207, 4, 120202, 8903, 73381, 13497, 1470, 54260, 5666, 1470, 75230, 2932, 4, 4151, 4852, 43178, 10676, 195054, 54260, 188201, 32611, 182759, 36419, 2932, 171433, 5, 7369, 37826, 22753, 4944, 163139, 4151, 87311, 13497, 132025, 5332, 22426, 13159, 1470, 1530, 119718, 710, 40920, 125897, 6, 74004, 4944, 12, 137, 2648, 115536, 22753, 4944, 4, 47833, 4151, 117902, 30473, 42180, 155, 32, 7265, 4151, 198754, 150839, 62067, 37826, 7369, 3069, 61397, 905, 20911, 3069, 22753, 1982, 1285, 6, 57277, 28317, 29060, 39340, 4, 119055, 33809, 8947, 3056, 6235, 29659, 112711, 43178, 1285, 3944, 40920, 4, 3069, 8903, 3111, 2865, 43178, 95455, 67826, 21733, 41764, 2808, 22426, 9221, 37640, 5666, 32611, 182759, 2702, 135118, 120467, 506, 62067, 5, 2451, 192183, 16803, 4269, 54260, 5666, 38, 710, 3523, 54260, 5666, 4, 119055, 101503, 9356, 4151, 16175, 9221, 38, 6093, 37826, 6, 143409, 6, 195054, 54260, 35596, 4, 22753, 1982, 6235, 13982, 54260, 2882, 32611, 5666, 6235, 28726, 6093, 2190, 5666, 1470, 364, 15350, 4944, 8903, 97634, 5666, 4, 3069, 4151, 3131, 46545, 5666, 7265, 54745, 2865, 22639, 22753, 1982, 9934, 29259, 5666, 2190, 69708, 121658, 9221, 5927, 29259, 2882, 5, 2451, 119055, 37016, 21776, 2865, 60980, 22426, 15907, 112711, 6, 80453, 7682, 64260, 38, 80453, 7682, 64260, 5666, 37826, 874, 43178, 6681, 3131, 22426, 99766, 119055, 37016, 5666, 12, 7369, 3056, 6235, 147713, 5666, 364, 41595, 6093, 68542, 24295, 6, 159696, 177282, 37640, 5666, 9424, 39083, 125897, 9721, 29060, 28726, 4944, 2190, 5666, 37826, 1751, 75230, 5666, 221387, 119055, 141847, 199145, 13159, 364, 104274, 21295, 22753, 4944, 5, 37826, 7369, 22753, 4944, 120202, 61397, 25046, 5666, 12, 2451, 9213, 4944, 564, 18640, 1751, 75230, 5666, 6, 72841, 4, 9213, 1982, 33718, 22753, 4944, 132025, 292, 7369, 37826, 32611 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22753, 1982, 6235, 8300, 75230, 5666, 5666, 1285, 7508, 29259, 23093, 75230, 4852, 5666, 2190, 5666, 37826, 60118, 905, 98071, 4484, 6235, 22680, 4113, 98833, 12, 2451, 199145, 4, 6681, 112711, 3523, 29259, 2702, 32, 35189, 224220, 104274, 9221, 37826, 42493, 6235, 35596, 59919, 2882, 5, 7369, 37826, 4151, 905, 43178, 22639, 163139, 177243, 20315, 2865, 54745, 110970, 48253, 7682, 2190, 5666, 37826, 22753, 4944, 9424, 123073, 159696, 2882, 12, 2451, 216747, 31467, 710, 4, 34076, 29771, 2865, 22426, 38, 199145, 43649, 54260, 126934, 4, 163139, 1470, 6235, 2865, 39083, 16932, 4, 119055, 6093, 6, 141353, 94626, 1982, 6, 90848, 32, 364, 54260, 2702, 119055, 37016, 5666, 1285, 40653, 125897, 49920, 5666, 123736, 7916, 89930, 5666, 5, 35189, 19532, 29259, 23405, 37016, 73136, 114436, 60980, 22426, 15907, 112711, 6, 80453, 7682, 64260, 37826, 22753, 4944, 6235, 126700, 5666, 1285, 1470, 75230, 2932, 5666, 4, 8903, 4852, 15435, 21295, 1285, 7508, 29259, 48253, 5666, 12, 2451, 6235, 88660, 13497, 6, 113889, 4944, 11211, 22426, 3131, 620, 29771, 150020, 5, 1285, 7369, 2648, 170479, 220224, 23050, 2865, 43178, 38, 35189, 224220, 104274, 9221, 3373, 29766, 218241, 24295, 37826, 5960, 22753, 4944, 74806, 28726, 22426, 2882, 1285, 119055, 39083, 7682, 13159, 1470, 17310, 87309, 177148, 12, 2451, 22639, 1285, 43649, 34557, 5666, 22753, 8300, 5666, 6681, 4113, 16932, 4, 22639, 1285, 43649, 34557, 5666, 2205, 874, 43178, 6681, 3111, 2865, 43178, 7265, 199145, 11265, 163139, 21295, 4, 133190, 42493, 7265, 107189, 4944, 29771, 24621, 171433, 8903, 147713, 5927, 29259, 2882, 5666, 27, 2451, 199145, 3056, 32, 80453, 7682, 64260, 37826, 40653, 195054, 54260, 35596, 1285, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 4, 6235, 96256, 22426, 2882, 22753, 51172, 24295, 1285, 364, 75230, 4852, 20260, 79238, 65482, 2702, 4, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 54745, 2865, 117902, 33716, 2702, 18640, 20961, 2190, 2932, 6681, 75230, 1982, 77188, 123736, 2932, 4151, 3944, 40920, 5, 7369, 37826, 42493, 6235, 119718, 33809, 16803, 4, 6681, 199145, 4151, 60980, 22426, 15907, 123844, 29766, 218241, 24295, 22753, 2648, 21295, 182261, 54745, 2865, 43649, 34557, 5, 81444, 3056, 6235, 159696, 5666, 116486, 16803, 2190, 5666, 6, 150271, 18415, 47526, 4113, 4944, 12, 2451, 17824, 54260, 2882, 22753, 1982, 3069, 1470, 5, 132025, 68566, 7201, 27, 2702, 29766, 218241, 24295, 37826, 1751, 75230, 5666, 6235, 905, 22426, 2882, 212911, 2882, 119055, 46646, 6093, 37640, 5666, 7508, 6093, 14856, 3131, 114436, 15388, 4484, 119718, 99766, 4, 199145, 2205, 6235, 159696, 5666, 185000, 37640, 5666, 1470, 11211, 4, 39293, 5, 7369, 37826, 22753, 4944, 6235, 159696, 16747, 2882, 13342, 6, 80453, 7682, 64260, 5666, 12, 2451, 6, 105515, 22753, 4944, 132025, 119055, 20961, 63593, 4, 20033, 119055, 13845, 5666, 9356, 50853, 132025, 506, 54260, 1982, 5666, 160751, 5666, 10184, 6093, 27, 29771, 75578, 6428, 99766, 5666, 22639, 1285, 43649, 34557, 2932, 4, 220224, 151614, 1982, 5666, 6428, 99766, 5666, 1470, 199720, 200117, 5666, 6, 97634, 13159, 27, 220224, 24621, 2932, 5666, 7508, 54260, 2648, 5666, 7265, 219047, 133190, 122133, 30750, 119055, 6093, 16932, 4, 9213, 1982, 6681, 29659, 54260, 199145, 2442, 99766, 5666, 6, 105515, 22753, 4944, 27, 6093, 37826, 7265, 5666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6319, 137377, 1470, 1751, 218241, 1644, 6235, 97634, 5666, 3069, 874, 15533, 25207, 4944, 12, 2451, 123736, 85465, 76216, 29771, 711, 5, 5, 2451, 199145, 32, 292, 6, 80453, 7682, 64260, 37826, 163139, 35189, 42493, 6681, 29659, 112711, 43178, 4, 292, 8947, 364, 54260, 1982, 54561, 710, 4944, 132025, 7369, 16667, 18415, 120202, 6093, 173149, 2702, 32, 2451, 9213, 1982, 6, 225975, 81444, 4944, 4, 1751, 54260, 10069, 2865, 6, 238144, 2702, 5666, 220224, 4, 199145, 220224, 33718, 43178, 6428, 99766, 5666, 9213, 1982, 1285, 29659, 34557, 5666, 27, 220224, 163139, 67873, 4, 292, 4151, 224220, 104274, 9221, 37826, 1470, 6, 98055, 6235, 97634, 5666, 32611, 4151, 2882, 9221, 5, 4151, 54745, 110970, 48253, 7682, 3056, 6428, 99766, 1211, 42493, 6235, 159696, 5666, 292, 220224, 163139, 1644, 5666, 117902, 36326, 96256, 159696, 21733, 54260, 4484, 5666, 1470, 12023, 35044, 3373, 39083, 127731, 48253, 71512, 4, 6, 212484, 5666, 3069, 4151, 84475, 27, 95298, 145813, 29060, 5, 13159, 10498, 87442, 1751, 75230, 5666, 22639, 9181, 23741, 7265, 1751, 29631, 63593, 27, 2451, 9213, 1982, 874, 54260, 5666, 1470, 75230, 1982, 12, 7265, 21776, 119718, 39083, 9183, 42180, 27, 2451, 80453, 7682, 64260, 37826, 22753, 4944, 5950, 54260, 2932, 35189, 25391, 218241, 5666, 6681, 194885, 7508, 54260, 4667, 5, 7369, 37826, 7265, 107020, 109636, 2882, 1470, 21422, 6235, 97634, 5666, 1285, 12666, 23741, 7265, 4151, 6, 113889, 4852, 4, 163139, 35189, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 1470, 41764, 2808, 22426, 9221, 120467, 2190, 2932, 6681, 75230, 104238, 2882, 5, 13159, 194885, 5666, 6235, 17494, 2865, 43178, 1285, 40653, 125897, 9424, 238144, 123736, 7916, 89930, 5666, 292, 60980, 200117, 109316, 119718, 7265, 5666, 80453, 2808, 204403, 93509, 48253, 7682, 6, 88660, 59094, 29771, 119718, 5, 51963, 194885, 5666, 19532, 75230, 2702, 32611, 29434, 75230, 46053, 5, 35189, 11211, 17017, 2205, 64890, 200117, 5, 6235, 159696, 1982, 132025, 8903, 97634, 5666, 22639, 23050, 2932, 90848, 4852, 24295, 64044, 1982, 4, 22639, 8903, 22426, 9183, 95064, 159696, 1982, 37640, 5666, 10184, 177243, 2648, 125897, 6, 105235, 164863, 4, 564, 54260, 46685, 9934, 65482, 5666, 6235, 29659, 112711, 43178, 564, 14081, 75230, 40920, 65482, 37640, 5666, 4151, 17190, 119718, 239162, 4, 6235, 10069, 40920, 6681, 20315, 146873, 7265, 9915, 54260, 5, 17268, 5666, 6, 113889, 35596, 5666, 1751, 34365, 2932, 90848, 1982, 5666, 4, 119055, 33809, 221067, 70598, 112711, 3056, 6235, 4852, 13159, 5666, 4, 37826, 22753, 4944, 4151, 226112, 2932, 2932, 1470, 9934, 40714, 46685, 29259, 5, 14856, 37826, 223779, 7201, 171433, 54196, 37640, 5666, 4151, 564, 215206, 2808, 20315, 12, 2451, 17824, 54260, 2882, 5666, 22753, 4944, 38, 25491, 1285, 68889, 2865, 26632, 5666, 2205, 1285, 1285, 59461, 3131, 145702, 6235, 159696, 5666, 32611, 1285, 7369, 16932, 5, 9356, 10069, 3373, 39083, 2648, 26632, 5666, 37826, 6235, 21733, 2808, 22426, 2882, 1470, 9424, 171433, 123736, 2932, 1470, 9424, 171433, 5, 14856, 37826, 19532, 905, 111137, 8300, 75230, 2932, 22492, 7201, 22753, 4944, 1285, 67826, 119718, 1644, 1470, 67854, 9915, 54260, 4, 22753, 8300, 213952, 32611, 1285, 1157, 55823, 2882, 5666, 4, 32611, 1285, 7265, 22680, 120467, 2882, 9356, 20315, 146873, 43649, 39083, 65482, 43649 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64567, 43178, 5, 68889, 2865, 26632, 110970, 28726, 101608, 9934, 65482, 5666, 6235, 159696, 2932, 123736, 67854, 4, 163139, 874, 29259, 44478, 37640, 5666, 364, 17310, 6093, 125897, 4, 564, 137119, 2648, 29766, 29659, 125897, 3496, 29259, 13159, 5, 120202, 8903, 119718, 29766, 33225, 9934, 65482, 5666, 6235, 159696, 1982, 1285, 16175, 9221, 28726, 4944, 37640, 5666, 1285, 657, 29766, 17310, 46985, 16803, 16667, 5, 32611, 5666, 9915, 54260, 4852, 29259, 23269, 5666, 6235, 29659, 112711, 43178, 4, 6, 26394, 105235, 1644, 18415, 22639, 7508, 54260, 43178, 4, 98664, 107581, 6319, 75230, 3131, 109316, 4944, 7265, 2592, 25391, 2808, 22426, 151227, 5666, 5, 14856, 3131, 65482, 41764, 710, 95564, 28726, 4944, 2451, 87311, 17800, 13159, 37640, 5666, 64751, 57619, 75230, 4852, 40697, 17824, 182759, 2882, 5666, 2451, 85465, 200117, 5666, 19532, 75230, 2702, 8903, 98055, 2882, 3523, 29259, 61397, 7682, 4, 17824, 54260, 2882, 51963, 119055, 29259, 28726, 3069, 6681, 29659, 137377, 5666, 1285, 3131, 119718, 20961, 26394, 68889, 2865, 26632, 5666, 31249, 17310, 43178, 4, 46654, 98071, 43178, 3069, 74004, 2865, 43178, 7265, 147582, 100863, 2442, 7682, 5666, 16175, 75230, 2882, 5, 35189, 224220, 93047, 9221, 3056, 1470, 159696, 4484, 32611, 5666, 6, 172060, 185226, 2190, 5666, 37826, 7265, 8903, 3111, 2865, 43178, 7265, 30473, 4944, 73095, 48974, 54260, 4113, 119718, 5666, 5, 25491, 2865, 223779, 7201, 171433, 22753, 56169, 221067, 70598, 112711, 5, 7369, 22753, 56169, 2190, 2932, 6, 210674, 5950, 8300, 6, 159696, 2932, 16667, 18415, 22426, 62067, 3131, 24295, 5, 7369, 10184, 21295, 4, 47833, 9356, 119425, 107776, 132025, 1285, 9424, 29259, 2882, 4, 119055, 43178, 7369, 119055, 29060, 2648, 29771, 3523, 54260, 46545, 46601, 20961, 150020, 9934, 29259, 5666, 12, 137, 80885, 22426, 62067, 183202, 37826, 1470, 119055, 29259, 2882, 5666, 6, 98055, 4, 7369, 29766, 98071, 35596, 54196, 22753, 4944, 4, 7369, 3056, 212911, 2882, 73906, 46545, 155, 27, 22639, 223779, 7201, 171433, 2442, 6093, 1644, 37826, 132025, 8903, 506, 75230, 1982, 5666, 90284, 24621, 2932, 12, 2451, 18133, 49920, 16803, 32, 6, 5, 2451, 9213, 1982, 49920, 5, 2451, 19302, 29766, 32, 2451, 19302, 29766, 5, 2451, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 5, 4151, 6, 89991, 12, 6, 105780, 6293, 2190, 2932, 1470, 4944, 10918, 4484, 5, 7265, 17824, 182759, 2882, 5666, 5, 2451, 40653, 8903, 8903, 1982, 5666, 5, 2451, 29434, 29259, 7508, 54260, 43178, 38, 2451, 40653, 8903, 8903, 1982, 5666, 5, 10705, 5666, 8947, 37826, 1470, 364, 54260, 1982, 6235, 97634, 2932, 4, 1470, 21422, 16932, 6235, 97634, 5666, 12, 26394, 47526, 123329, 45521, 38054, 2882, 34557, 33104, 43178, 151614, 1982, 5666, 22753, 1982, 2190, 111137, 101328, 98833, 22639, 1470, 54260, 23269, 2865, 5, 7265, 4852, 54260, 123073, 68889, 18415, 133933, 29771, 43178, 6235, 121865, 5666, 54745, 2865, 191795, 48974, 5, 8947, 3056, 6235, 119718, 29766, 5666, 1470, 6, 123103, 28714, 3131, 17268, 59461, 2648, 2190, 5666, 9915, 54260, 5, 1470, 7213, 16932, 4113, 43449, 64260, 4113, 37826, 22753, 4944, 6235, 119718, 14081, 61397, 2882, 6681, 1285, 85465, 70598, 26632, 5666, 5, 2190, 5666, 37640, 5666, 364, 41595, 5666, 4, 22639, 119055, 14081, 2648, 4, 151614, 1982, 2932, 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 ]
[ 26394, 23822, 54260, 35044, 18415, 9915, 54260, 43178, 37640, 57619, 174798, 218241, 65482, 564, 54260, 46685, 1285, 75290, 46601, 87442, 1285, 1470, 29259, 5666, 8903, 119718, 2808, 25207, 188201, 119055, 29766, 34709, 43178, 74, 4852, 54260, 123073, 43649, 98229, 43178, 194885, 5666, 6235, 159696, 1982, 130363, 28726, 188201, 4, 58573, 905, 105235, 36326, 5, 6, 113889, 4944, 1285, 200795, 1751, 120467, 5666, 151614, 1982, 5666, 1285, 3373, 39083, 2648, 26632, 2932, 130170, 8903, 96256, 57619, 2882, 3069, 74004, 2865, 43178, 7265, 34654, 105884, 6093, 37640, 5666, 1285, 68889, 2865, 26632, 5666, 4, 95298, 182261, 194885, 5666, 220224, 1751, 75230, 46685, 42493, 74806, 80453, 17310, 43178, 5, 220224, 3056, 1751, 75230, 5666, 6235, 159696, 5666, 119055, 20961, 63593, 5, 220224, 151614, 1982, 5666, 32899, 22492, 83182, 8903, 3131, 22426, 69336, 29060, 34654, 364, 37016, 28726, 4944, 37640, 5666, 1285, 7213, 151227, 5666, 4, 120202, 8903, 212484, 5666, 1285, 564, 75230, 39248, 52480, 172398, 5, 13159, 3056, 6235, 119718, 29766, 2932, 364, 54260, 2702, 5, 17268, 5666, 4151, 6428, 29259, 48253, 152185, 9934, 29259, 2882, 37826, 874, 43178, 42493, 6235, 35596, 59919, 2882, 5, 163139, 29434, 29259, 48253, 5666, 119055, 39083, 2882, 5666, 81444, 220273, 42493, 6235, 147713, 5666, 6, 150271, 29259, 29060, 2190, 2932, 6235, 15529, 119425, 7682, 6235, 159696, 33716, 68561, 7508, 6093, 143628, 86733, 22639, 27720, 194734, 144295, 5, 5666, 23173, 1285, 143628, 36326, 137, 109636, 51172, 18415, 155, 37826, 22753, 1982, 37640, 5666, 6, 99766, 42493, 6, 61397, 54196, 5, 1837, 68313, 6235, 159696, 5666, 17824, 54260, 2882, 3069, 78956, 35189, 5666, 22753, 1982, 7265, 1285, 21776, 48253, 5666, 4, 95298, 42493, 3069, 39384, 22492, 24295, 1470, 96256, 39340, 5, 33809, 68561, 5666, 130154, 5666, 10339, 143409, 37640, 5666, 4151, 9356, 174410, 54260, 4, 119055, 33809, 1285, 17824, 88680, 7972, 7511, 13159, 37640, 5666, 7508, 6093, 148346, 4113, 4944, 64260, 4113, 9934, 29259, 8903, 5666, 6235, 147713, 5666, 4, 163139, 133190, 13159, 37640, 5666, 30109, 64260, 5666, 4, 119055, 33809, 137, 88660, 12415, 90848, 164863, 155, 151614, 1982, 23405, 73381, 54196, 3069, 130170, 6093, 2648, 40697, 364, 54260, 1644, 5666, 4, 151614, 1982, 5666, 22753, 1982, 22639, 212911, 2882, 5666, 33718, 177243, 37640, 91275, 182759, 40920, 9356, 119718, 15533, 5666, 17824, 75230, 4113, 1751, 64260, 16667, 5, 163139, 132025, 7201, 29766, 2865, 123329, 17824, 75230, 6093, 6, 48253, 77525, 33104, 4, 194885, 5666, 220224, 6235, 29659, 112711, 43178, 1470, 18640, 1470, 874, 182879, 119718, 4, 163139, 1470, 1285, 75290, 9721, 104274, 119718, 62067, 5, 2648, 120467, 194885, 5666, 6235, 29659, 112711, 43178, 7508, 64260, 13159, 3373, 39083, 2648, 26632, 5666, 4, 21776, 29659, 5666, 37640, 5666, 4151, 29434, 29259, 10705, 54561, 16011, 21660, 7682, 82576, 1285, 119718, 15533, 17645, 5, 37640, 5666, 4151, 1285, 119718, 15533, 17645, 37826, 178748, 1751, 75230, 5666, 40026, 49597, 6093, 13342, 8903, 3111, 2865, 43178, 22753, 1982, 5666, 2190, 5666, 45521, 29025, 7682, 15864, 5666, 2190, 5666, 9424, 79238, 120467, 5666, 5, 182261, 9934, 29259, 8903, 5666, 32611, 1285, 7201, 143409, 43178, 6235, 29659, 112711, 43178, 123736, 7916, 89930, 5666, 2451, 25491, 200651, 54260, 239162, 5666, 88660, 28714, 107829, 48974, 4, 6, 90848, 18415, 88660 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28714, 107829, 164863, 4, 60980, 22426, 15907, 112711, 43178, 2190, 5666, 43649, 34557, 2702, 46985, 22426, 15907, 112711, 43178, 5, 220224, 194885, 2932, 6681, 1982, 29259, 8903, 185337, 43178, 1285, 132025, 7201, 29766, 9719, 39340, 7508, 54260, 43178, 2190, 5666, 160751, 29060, 5666, 22753, 4944, 12, 2451, 44917, 200117, 4151, 620, 115536, 564, 34882, 177148, 11265, 34482, 1644, 75230, 1982, 5, 2451, 9213, 4944, 119055, 13845, 1470, 29259, 4944, 132025, 97634, 5666, 22639, 4269, 171433, 26394, 67826, 119718, 1644, 292, 37826, 3069, 8903, 225975, 2882, 35189, 224220, 183512, 9221, 37640, 5666, 117902, 63849, 5, 2451, 9213, 1982, 119055, 13845, 1470, 29259, 4944, 120202, 91163, 5666, 119055, 29259, 2882, 22639, 6, 175221, 4, 1470, 18640, 4151, 59919, 27, 2451, 11265, 119055, 29060, 9356, 17494, 2865, 43178, 72577, 8947, 5666, 27, 10069, 15864, 36419, 37826, 74806, 119718, 18640, 5666, 5, 1285, 15864, 36419, 3056, 6235, 159696, 5666, 165284, 2865, 5, 2451, 11265, 119055, 29060, 22753, 4944, 6150, 75230, 1470, 75230, 49268, 905, 43178, 4, 163139, 11265, 37826, 42493, 6235, 127583, 22639, 4151, 506, 54260, 2865, 4, 9213, 4944, 119055, 13845, 1470, 29259, 1982, 19532, 29259, 5666, 91163, 5666, 22639, 4151, 59919, 7265, 132025, 1470, 114564, 32054, 75230, 12483, 4, 62808, 5666, 4151, 1644, 75230, 1982, 5666, 27, 10069, 564, 116367, 5666, 194885, 5666, 6235, 29659, 112711, 43178, 364, 101503, 137, 13342, 2865, 6, 64991, 2909, 2451, 11265, 119055, 29060, 9356, 17494, 2865, 43178, 6235, 29766, 25222, 25616, 54260, 8300, 5666, 4, 11265, 119055, 29060, 6, 159696, 164863, 130170, 29771, 7916, 89930, 5666, 4, 292, 37826, 3069, 2865, 158628, 5666, 874, 39083, 6235, 225975, 2882, 7508, 6093, 117902, 1644, 88660, 119718, 29171, 30109, 4113, 34575, 7511, 88660, 119718, 2190, 5666, 3069, 8903, 8903, 1982, 5666, 12, 2451, 11265, 43649, 54260, 2882, 81444, 4944, 6, 62067, 39340, 2932, 5666, 3373, 75230, 23269, 4, 119055, 29060, 11265, 42493, 160238, 23269, 2865, 43178, 1470, 113889, 68566, 7201, 115222, 2932, 5666, 107020, 4, 119055, 29060, 7369, 95455, 166464, 115222, 2932, 5666, 9213, 1982, 5, 6093, 37826, 1470, 33718, 55823, 6235, 97634, 2932, 7265, 5666, 6, 64991, 12, 2451, 3496, 54595, 54260, 12415, 2865, 4, 11265, 119055, 29060, 81444, 9424, 79238, 120467, 5666, 6, 159696, 164863, 32611, 5666, 6, 99766, 38, 4852, 29259, 23269, 5666, 19532, 75230, 2702, 9424, 238144, 12, 3373, 28726, 22426, 88660, 119718, 4, 44458, 187483, 6093, 37640, 5666, 6, 109636, 16932, 155073, 4, 2190, 22492, 78104, 44478, 41764, 75230, 6093, 292, 564, 64260, 56914, 29771, 119718, 5, 2451, 20033, 5666, 42493, 132025, 23847, 29259, 150020, 38, 2485, 4852, 54260, 151614, 1982, 5666, 48494, 203232, 1470, 75230, 2702, 8903, 25391, 98071, 43178, 22639, 4151, 6, 159696, 21295, 19532, 29259, 5666, 4, 292, 3069, 2865, 163139, 13497, 5, 13342, 4151, 10184, 57619, 16932, 6093, 112389, 2882, 5, 220224, 151614, 1982, 5666, 95455, 4, 163139, 44458, 2190, 22680, 25046, 4, 9424, 77928, 20911, 2808, 88680, 5666, 32054, 29771, 13497, 27, 2451, 11265, 9934, 29259, 2882, 7265, 2190, 50856, 1211, 1470, 29259, 110970, 15231, 134067, 4, 78956, 35189, 32, 2451, 1470, 29259, 110970, 15231, 134067, 4, 1470, 29259, 110970, 15231, 134067, 27, 2451, 20033, 5666, 42493, 27, 2442, 6093, 117902 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 6235, 88660, 28714, 152848, 159696, 2882, 5, 2451, 29659, 54260, 2932, 32054, 29259, 38, 2932, 29766, 1285, 3373, 39083, 2442, 26632, 5666, 151614, 1982, 5666, 95455, 874, 39083, 42493, 9356, 141353, 23741, 151614, 1982, 5666, 6319, 54260, 83182, 1644, 75230, 1982, 161829, 4, 220224, 194885, 5666, 6150, 75230, 1470, 75230, 1982, 6235, 29659, 112711, 43178, 137, 22680, 29259, 2909, 12415, 15864, 36419, 4, 1285, 17824, 75230, 4113, 7213, 151227, 5666, 151614, 1982, 5666, 22753, 4944, 5950, 54260, 5666, 564, 68561, 75230, 1644, 5666, 12, 137, 4484, 84662, 75322, 155, 10705, 5666, 194885, 5666, 22753, 4944, 98252, 9424, 37016, 90848, 30741, 4, 163139, 874, 29259, 4852, 22639, 1285, 133190, 13159, 4, 22639, 1285, 137, 88660, 12415, 90848, 164863, 2004, 6235, 90536, 18406, 22753, 8300, 5666, 22639, 4151, 10184, 57619, 16932, 7265, 6, 113889, 4944, 28415, 6, 105780, 56169, 123073, 61397, 167622, 43178, 5, 2451, 42493, 34654, 164863, 22753, 1982, 45521, 6, 101503, 38, 292, 37826, 6235, 7201, 142429, 77188, 3373, 28726, 22426, 88660, 119718, 2451, 14856, 159696, 2882, 182261, 6093, 42493, 9424, 77928, 2702, 5666, 5, 3069, 145813, 29060, 27, 2451, 1470, 54260, 59461, 6681, 51963, 2865, 43178, 4, 51963, 6681, 1470, 54260, 23269, 2865, 5, 117902, 63849, 5666, 9424, 77928, 16803, 874, 43178, 42493, 5, 2451, 119055, 29060, 37922, 21660, 6093, 19532, 75230, 2702, 8903, 1982, 2932, 4, 170479, 7369, 9356, 8300, 29259, 2882, 16667, 6, 225975, 5666, 163139, 20315, 38, 2451, 20033, 6, 141353, 150020, 182261, 9934, 29259, 5666, 132025, 8903, 29659, 189623, 98833, 163139, 32611, 81444, 4852, 29766, 5666, 4, 163139, 32611, 90848, 4852, 29766, 5666, 4, 78956, 35189, 5, 2702, 28726, 22426, 88660, 119718, 2702, 119055, 6093, 16932, 151614, 1982, 5666, 22753, 4944, 19532, 29259, 5666, 8903, 117260, 2882, 5666, 7265, 564, 137119, 22639, 6, 204932, 39083, 2648, 26632, 40697, 6, 61397, 167622, 43178, 5, 10069, 15864, 36419, 37826, 42493, 6, 238197, 5, 22753, 2205, 6235, 147713, 5666, 4, 6235, 4852, 13159, 5666, 4, 6235, 29659, 112711, 43178, 4, 8903, 65285, 2882, 4, 6235, 46985, 153222, 2882, 130170, 22753, 4944, 1285, 6, 131445, 163139, 564, 54260, 21847, 27, 1285, 15864, 36419, 37826, 8903, 88660, 40920, 4, 163139, 85596, 1644, 8300, 22639, 16175, 75230, 4852, 13497, 9424, 238144, 364, 88917, 77188, 199720, 2648, 24244, 5666, 5, 2808, 35189, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 78683, 119718, 3056, 120202, 8903, 22492, 148346, 43178, 37640, 5666, 1285, 6, 26394, 1982, 33104, 16932, 159696, 18415, 3373, 39083, 2648, 26632, 5666, 2190, 5666, 37826, 2190, 111137, 144581, 1982, 2932, 1285, 123736, 7916, 89930, 5666, 32611, 1470, 46601, 2808, 105515, 5, 4852, 29259, 23269, 5666, 1285, 137, 506, 6093, 5666, 123736, 7916, 89930, 5666, 155, 6235, 4852, 13159, 5666, 9356, 6, 75230, 1982, 1470, 18640, 1285, 6235, 45629, 24621, 1751, 34365, 23847, 88680, 4, 9356, 99176, 47332, 1285, 1157, 8903, 4, 199145, 37826, 22753, 1982, 74806, 68561, 5666, 1470, 18640, 4151, 137, 506, 13845, 2648, 152185, 2004, 6, 5, 23822, 29259, 6093, 155, 29434, 29259, 10705, 5666, 75230, 30750, 89991, 82576, 1285, 119718, 15533, 17645, 5, 220224, 151614, 1982, 5666, 1470, 77014, 4944 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 61397, 54260, 104238, 2882, 4, 74806, 22426, 18640, 5666, 5, 3069, 6319, 54260, 5666, 9356, 65577, 42493, 6235, 17494, 2865, 43178, 5, 2451, 2181, 564, 29060, 1470, 4151, 1644, 75230, 1982, 161829, 1470, 29259, 4944, 3069, 55242, 2932, 4, 119055, 2808, 36326, 163139, 2702, 29771, 88660, 1982, 17410, 113889, 304, 2451, 363, 75230, 418, 729, 90848, 144295, 4, 44458, 1470, 78963, 2882, 62067, 37640, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 5, 11265, 119055, 29060, 4151, 15350, 75230, 1982, 5666, 32, 292, 95455, 37826, 6235, 22680, 4113, 98833, 4151, 4231, 17310, 6093, 41764, 45629, 204403, 93509, 48253, 7682, 4, 199145, 9213, 8903, 29659, 112711, 43178, 32611, 4151, 119055, 34557, 12, 1285, 119055, 2808, 4944, 37826, 874, 43178, 6, 190135, 137, 68561, 6, 63188, 12, 7201, 21106, 155, 27, 2451, 9213, 4944, 119055, 13845, 107020, 6, 5, 2190, 150020, 63593, 43178, 4, 292, 37826, 6235, 225975, 2882, 4151, 117902, 1644, 88660, 119718, 29171, 25616, 119273, 7511, 88660, 119718, 5, 68313, 6235, 119718, 29766, 5666, 212911, 2882, 130170, 1285, 6319, 39083, 59461, 2702, 9356, 1470, 77014, 4944, 123736, 7916, 89930, 5666, 4, 29771, 75578, 9356, 50853, 3056, 220224, 6235, 119718, 29766, 5666, 364, 54260, 2702, 5, 37640, 5666, 77014, 24621, 130154, 5, 10339, 143409, 4, 37640, 5666, 54745, 112304, 16011, 29060, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 3056, 6235, 17494, 2865, 43178, 7265, 1470, 41764, 34882, 29060, 44458, 1470, 78963, 2882, 62067, 37640, 5666, 117902, 63849, 5, 35189, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 3069, 8903, 3111, 2865, 43178, 54745, 2865, 41764, 34882, 29060, 2190, 22492, 15533, 6235, 90536, 1982, 5666, 22753, 8300, 5666, 7265, 1470, 6681, 25391, 16011, 65482, 2865, 6, 98624, 109316, 41764, 2808, 22426, 9221, 4, 43449, 54260, 4944, 2190, 5666, 64044, 3131, 119718, 710, 56169, 5, 2451, 49920, 5666, 123736, 7916, 89930, 2932, 4, 292, 37826, 7369, 6235, 225975, 2882, 7265, 6, 150349, 54595, 195164, 1470, 18640, 122133, 2648, 4852, 4, 137377, 8903, 506, 125942, 4, 292, 4151, 1751, 159696, 2442, 6093, 4269, 75230, 2442, 1644, 37640, 5666, 6681, 26632, 3056, 1470, 75230, 2702, 8903, 145168, 5666, 1470, 75230, 51172, 150020, 22753, 1982, 29060, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 5, 6, 64260, 27, 6093, 37826, 1470, 75230, 4944, 8903, 29659, 2442, 87442, 95455, 9934, 29259, 2882, 109316, 41764, 2808, 22426, 9221, 4, 199145, 3056, 6235, 159696, 5666, 6235, 93509, 126700, 5666, 7265, 4151, 364, 62067, 4, 2190, 5666, 37826, 6235, 225975, 2882, 7265, 1470, 6235, 145168, 65482, 2865, 16175, 171433, 12, 2451, 5, 95455, 207013, 163825, 5, 6093, 37826, 6, 195054, 54260, 35596, 12, 2451, 137, 506, 29259, 13497, 4, 22639, 77014, 24621, 564, 189623, 4, 6, 159696, 2932, 169550, 45223, 2648, 40697, 19532, 15231, 44478, 77820, 64260, 6150, 75230, 46711, 73381, 28726, 1982, 128364, 120467, 5666, 54745, 2865, 3373, 75230, 23269, 2702, 117902, 30473, 42180, 2702, 4, 119055, 43178, 219047, 3056, 8903, 90536, 1982, 2932, 133190, 101251, 119718, 20961, 150020, 107020, 2190, 5666, 6, 101328, 2932, 5666, 132025, 44458, 120202, 506, 158291, 155, 27, 204403, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 163139, 29659, 1470, 75230 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 54745, 2865, 6, 238144, 2702, 37640, 5666, 9934, 29259, 5666, 10339, 149010, 119718, 26632, 5666, 6319, 137377, 4, 37640, 5666, 6, 89930, 905, 179561, 18415, 43649, 53414, 4, 37640, 5666, 1285, 620, 54260, 150020, 5, 37271, 172060, 185226, 22639, 4151, 9424, 29259, 2882, 151614, 1982, 5666, 22753, 4944, 6, 64260, 10069, 10213, 506, 54260, 195164, 120202, 8903, 225975, 2882, 13342, 4269, 54260, 5666, 22639, 132025, 68566, 7201, 27, 20033, 6, 238144, 2702, 5666, 12, 95455, 3056, 6235, 119718, 21292, 3069, 8903, 23847, 54260, 2882, 7265, 35189, 364, 15096, 7201, 37640, 23269, 2882, 216450, 18640, 62067, 13456, 5666, 10339, 29259, 13497, 4, 95298, 27, 37640, 5666, 874, 29259, 23269, 4231, 98071, 23405, 123073, 29771, 7916, 89930, 2932, 37826, 22753, 4944, 1470, 564, 26632, 69803, 171433, 88660, 2865, 93047, 9221, 7265, 1470, 6319, 75230, 1644, 190800, 8903, 192956, 33716, 54745, 2865, 29566, 68697, 2932, 4, 1285, 40653, 125897, 194885, 5666, 4151, 3131, 203749, 2932, 27, 9213, 4944, 151614, 1982, 53542, 29659, 710, 63532, 132025, 13342, 23269, 2865, 43178, 29434, 23174, 188301, 4113, 174538, 43178, 12, 9213, 1982, 22444, 7201, 19532, 75230, 2702, 1470, 29259, 6093, 204403, 63849, 4, 54745, 2865, 6, 113889, 35596, 16803, 5666, 7544, 69181, 77188, 54260, 1644, 4, 11265, 6, 141353, 23741, 20033, 45223, 150020, 6, 62067, 119718, 29771, 7201, 65482, 5666, 137, 2865, 29259, 23269, 155, 564, 104274, 15907, 5666, 2909, 2451, 119055, 29771, 2050, 119055, 29060, 11265, 6, 225975, 5666, 32, 47351, 35189, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 22753, 4944, 7265, 1470, 17824, 161459, 5666, 6235, 144754, 8903, 159696, 16747, 2882, 3069, 194885, 123736, 7916, 89930, 5666, 4, 19532, 29259, 23405, 37016, 905, 20911, 4231, 123073, 164863, 9356, 46464, 83182, 22639, 6, 148222, 75230, 15388, 4, 6235, 119718, 101503, 5, 2451, 22753, 4944, 119055, 141943, 5666, 22639, 43649, 34557, 37640, 5666, 4151, 1285, 119718, 15533, 17645, 27, 2451, 2190, 5666, 9213, 4944, 874, 54260, 5666, 4, 6150, 95455, 3056, 22639, 4151, 224220, 109636, 18415, 57619, 37640, 5666, 6319, 29766, 22426, 24244, 29659, 34557, 5, 2451, 9213, 1982, 6, 226112, 2932, 19532, 29259, 5666, 1470, 160238, 3131, 203749, 4, 292, 37826, 6235, 225975, 2882, 1470, 43649, 144482, 2808, 22426, 15907, 112711, 7265, 1470, 45521, 38054, 13456, 5, 117902, 23269, 2865, 4, 292, 9213, 1982, 163139, 1644, 160238, 1644, 54260, 2932, 5666, 27, 2451, 210346, 4, 292, 506, 2882, 6235, 35596, 59919, 2882, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 4, 292, 210346, 4, 14004, 4944, 49920, 1470, 29259, 4944, 5, 2451, 128364, 21292, 5666, 21776, 2865, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 7265, 4151, 198754, 115453, 5666, 29171, 6093, 25491, 174410, 54260, 5, 10069, 22753, 8300, 213952, 4113, 123736, 7916, 89930, 5666, 151614, 1982, 5666, 3069, 8903, 3131, 218241, 21295, 7265, 1285, 115222, 22426, 12, 2451, 6235, 7511, 49597, 14081, 38, 2451, 44458, 155787, 54260, 38, 2451, 1470, 75230, 2702, 75290, 5666, 1285, 137, 2702, 155622, 29771, 155, 7265, 1470, 34482, 64567, 112711, 37640, 5666, 17824, 182759, 2882, 5666, 27, 204403, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 6, 61397, 54260, 2882, 194885, 9721, 54260, 18415 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119055, 29771, 57619, 5666, 4, 144754, 4151, 130154, 6093, 364, 62067, 37826, 7369, 22753, 1982, 132025, 8903, 3111, 2865, 43178, 6681, 2932, 3373, 39083, 45629, 147502, 5666, 8903, 29766, 25222, 25616, 54260, 8300, 4, 199145, 3056, 9356, 107020, 6235, 506, 122978, 43178, 1470, 67854, 9721, 71616, 5, 2451, 1470, 6235, 3111, 14081, 6093, 1470, 29259, 5666, 145168, 38, 10705, 16747, 4852, 123073, 10213, 73215, 13159, 119055, 13845, 5666, 6, 140746, 4852, 43178, 4, 163139, 14856, 6, 89930, 29259, 47332, 137, 710, 65482, 155, 5960, 88660, 21338, 29060, 5666, 37640, 5666, 4151, 1470, 54260, 2932, 114436, 19532, 15231, 44478, 17645, 4, 6, 159696, 21295, 220224, 6235, 119718, 21292, 19532, 75230, 2702, 8903, 1982, 107829, 130170, 506, 4113, 16932, 155, 27, 6150, 75230, 37826, 6235, 210674, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 5, 6093, 37826, 1470, 119055, 29259, 28726, 6235, 4484, 5666, 54260, 2882, 29659, 9934, 29259, 5666, 6, 105235, 164863, 2190, 2932, 6235, 22680, 4113, 98833, 6, 92867, 98229, 6235, 17494, 24621, 119132, 1470, 78963, 2882, 62067, 37640, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 12, 2451, 11265, 9934, 29259, 98833, 1470, 29259, 110970, 15231, 134067, 4, 49920, 117902, 127583, 3131, 7682, 32, 6235, 61541, 2882, 9213, 1982, 1285, 11265, 54260, 32, 2451, 4151, 1644, 75230, 47332, 20033, 22753, 1982, 132025, 22680, 4113, 2932, 5666, 9356, 2865, 224220, 93047, 9221, 37640, 5666, 117902, 63849, 27, 2451, 7265, 6681, 8903, 110317, 5666, 4, 210346, 220224, 6093, 5, 68313, 4151, 117902, 127583, 3131, 7682, 5332, 13845, 29771, 150020, 3069, 2865, 223779, 7201, 171433, 4, 6235, 21733, 17310, 43178, 3069, 22753, 1982, 1470, 54260, 204403, 63849, 5, 10705, 5666, 1285, 123736, 7916, 89930, 5666, 37640, 5666, 4151, 29434, 29259, 10705, 54561, 16011, 21660, 7682, 82576, 1285, 119718, 15533, 17645, 151614, 1982, 155341, 23174, 6093, 120202, 8903, 64260, 63593, 2882, 12, 2451, 42493, 364, 26612, 1982, 5666, 32611, 22753, 1982, 172590, 46654, 37016, 4, 172590, 3496, 20961, 109636, 38, 292, 37826, 23050, 4852, 29771, 5, 2882, 33225, 144754, 1470, 3944, 4944, 46545, 6235, 119718, 29766, 65482, 2865, 6, 181615, 7508, 6093, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 3069, 6, 148222, 88680, 125897, 123736, 7916, 89930, 5666, 5, 2451, 170479, 1470, 75230, 2702, 2932, 54260, 5666, 3069, 1285, 7213, 101608, 38, 2451, 14856, 119055, 29060, 220224, 9424, 123073, 1982, 5666, 6, 4, 119718, 710, 41764, 15096, 159696, 2442, 4, 1285, 874, 43178, 33809, 119718, 39083, 52480, 27, 2932, 64260, 4151, 91163, 3056, 95455, 22639, 4151, 9356, 174410, 54260, 6235, 17494, 2865, 43178, 1470, 6681, 3131, 119718, 31623, 16932, 4, 68561, 1470, 6681, 3131, 119718, 710, 56169, 5666, 59919, 2442, 1470, 41764, 45629, 204403, 93509, 48253, 7682, 37640, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 5, 6093, 37826, 9934, 29259, 5666, 45521, 136108, 6235, 212484, 5666, 9356, 1285, 7213, 16932, 4113, 564, 54260, 17017, 4113, 4944, 2190, 5666, 2205, 14081, 54260, 5666, 132025, 8903, 3131, 80453, 23174, 43178, 32611, 221067, 70598, 123844, 1751, 34365, 2932, 90848, 1982, 2932, 4, 119055, 43178, 4231, 114436, 3056, 6235, 4852, 13159, 5666, 9356, 2865, 223779, 7201, 171433, 5, 620, 23174, 188301, 1285, 119055 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6093, 16932, 4, 37826, 7369, 6235, 22680, 4113, 98833, 12, 2451, 119055, 33809, 2205, 1470, 29259, 6093, 224220, 104274, 9221, 32, 26217, 16932, 28714, 5666, 37826, 107020, 6235, 35596, 59919, 2882, 42493, 34076, 29259, 4944, 4, 7369, 37826, 40653, 8903, 8903, 1982, 22492, 224220, 104274, 4113, 37640, 5666, 6, 172060, 185226, 5, 1285, 9356, 174410, 54260, 37826, 1470, 75230, 2702, 8903, 3131, 120467, 1211, 4, 2190, 5666, 4151, 117902, 155, 127583, 3131, 7682, 6, 80453, 7682, 64260, 4, 199145, 3056, 101251, 8903, 2932, 64567, 43178, 364, 24295, 2190, 5666, 98252, 22639, 10339, 143409, 17268, 5666, 4151, 9356, 174410, 54260, 4, 3056, 3069, 8903, 17494, 2865, 43178, 3069, 2865, 1751, 34365, 2932, 90848, 1982, 2932, 5, 4151, 4852, 43178, 54745, 2865, 6, 80453, 20961, 204403, 93509, 48253, 7682, 4, 37826, 7369, 6235, 225975, 2882, 12, 2451, 7508, 6093, 224220, 104274, 9221, 37640, 5666, 4151, 9356, 174410, 54260, 3056, 32611, 5666, 6, 172060, 185226, 5, 199145, 37826, 168892, 107020, 40653, 13342, 23269, 1982, 5666, 32, 152, 2451, 9213, 1982, 113743, 74806, 93449, 37640, 5666, 117902, 1644, 88660, 119718, 29171, 9934, 17410, 97634, 119718, 2442, 26632, 64310, 4, 292, 7369, 37826, 30473, 4944, 101251, 8903, 98055, 2882, 32611, 5666, 22753, 8300, 213952, 4113, 223779, 7201, 171433, 34533, 2190, 5666, 3056, 120202, 132025, 1470, 9934, 29259, 2882, 4, 2451, 6093, 224220, 93047, 4113, 159696, 2882, 7265, 2932, 22753, 1982, 29060, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 27, 2451, 9213, 1982, 49920, 1470, 29259, 4944, 5, 3056, 199145, 3056, 1470, 29259, 6093, 6681, 143409, 32, 35189, 41764, 45629, 204403, 93509, 48253, 7682, 37826, 40653, 8903, 94114, 5666, 9934, 29259, 5666, 67826, 2865, 5, 22753, 3056, 9356, 14004, 2865, 6235, 119718, 29766, 5666, 364, 54260, 168155, 7682, 4, 6681, 29659, 93449, 5, 7369, 37826, 6235, 3111, 2865, 43178, 137, 22426, 29766, 6, 88660, 30473, 90848, 4484, 2004, 19532, 137377, 8903, 212484, 5666, 147582, 20260, 1285, 364, 62067, 5, 2451, 4151, 117902, 1644, 88660, 119718, 29171, 37826, 160751, 29060, 5666, 27, 117902, 1644, 88660, 119718, 29171, 9934, 17410, 97634, 119718, 2442, 26632, 64310, 7201, 142429, 77188, 4, 14856, 170479, 128364, 21292, 5666, 9934, 29259, 5666, 117902, 63849, 37640, 5666, 1470, 54260, 2932, 114436, 19532, 15231, 44478, 17645, 4, 119055, 29259, 17410, 75230, 1982, 42493, 27, 2451, 9213, 1982, 6681, 29659, 54260, 1470, 29259, 4944, 42493, 4, 49920, 117902, 127583, 3131, 7682, 38, 199145, 364, 54260, 16803, 137, 25491, 16629, 2702, 5666, 37640, 5666, 1470, 54260, 2932, 114436, 19532, 15231, 44478, 17645, 155, 32, 6, 80453, 7682, 64260, 37826, 185000, 1470, 81414, 2882, 3069, 2865, 130154, 5666, 10339, 143409, 2190, 5666, 37826, 40653, 8903, 8903, 1982, 5666, 34654, 224220, 104274, 4113, 5, 7369, 37826, 22753, 1982, 163139, 35189, 1470, 75230, 2702, 8903, 13982, 54260, 2882, 7265, 5666, 117902, 23269, 2865, 3069, 2865, 117902, 127583, 3131, 7682, 4, 6235, 98055, 2882, 32611, 107020, 7265, 6681, 119718, 33809, 83182, 18415, 1470, 75230, 2932, 5666, 5, 2451, 4892, 2882, 27, 1549, 2451, 3056, 199145, 119055, 29060, 9934, 29259, 5666, 32, 2451, 153, 68313, 6681, 112711, 1470, 6235, 64044, 27, 364, 29259, 13497, 125897, 112389, 2882, 27, 51963, 123736, 7916, 89930, 5666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17268, 5666, 117902, 63849, 4, 37640, 5666, 4151, 1285, 119718, 15533, 17645, 27, 35189, 163139, 13497, 37826, 4151, 226112, 2932, 5666, 133190, 120202, 8903, 85465, 146873, 67826, 75290, 64751, 4852, 5666, 5, 221067, 70598, 112711, 37826, 132025, 8903, 3131, 22426, 710, 56169, 1285, 1470, 75230, 53414, 4, 22639, 107020, 37826, 6235, 4852, 17310, 43178, 95455, 564, 137119, 5, 14004, 2865, 37826, 22753, 4944, 160238, 190135, 6, 4, 2648, 120467, 163825, 4, 163139, 3373, 39083, 2648, 26632, 5666, 202446, 5666, 22639, 1285, 506, 35596, 1285, 564, 116367, 5666, 19532, 137377, 8903, 212484, 5666, 137, 13342, 21776, 2865, 6, 64991, 155, 74, 163139, 220224, 6, 98055, 5666, 42493, 34076, 29259, 51172, 24295, 117902, 23269, 2865, 4, 137, 13159, 5666, 155, 28415, 42493, 7265, 1285, 1470, 75230, 2932, 5666, 1285, 123736, 7916, 89930, 5666, 4, 220224, 123073, 224220, 93047, 9221, 5666, 5, 1470, 15907, 37826, 22753, 1982, 182261, 180141, 6235, 119718, 39083, 2882, 163139, 2702, 2932, 4, 199145, 4151, 117902, 127583, 3131, 7682, 6, 80453, 7682, 64260, 119055, 29060, 120202, 35596, 59919, 5666, 5, 2190, 5666, 1285, 238419, 5666, 4, 199145, 9424, 119718, 13456, 2932, 1285, 29771, 7916, 89930, 5666, 37826, 22753, 4944, 6235, 8300, 75230, 2932, 5666, 1285, 67826, 63849, 29259, 2882, 4, 194885, 5666, 6681, 221067, 70598, 112711, 43178, 6235, 159696, 2932, 4, 163139, 1285, 9424, 29259, 2882, 4, 119055, 43178, 14856, 7508, 6093, 119718, 101503, 1470, 22518, 2808, 22426, 8903, 17410, 121658, 29259, 2702, 40653, 5666, 6319, 137377, 5, 141943, 28726, 1982, 37826, 7369, 4151, 506, 77188, 12, 2451, 9213, 1982, 6, 225975, 22753, 4944, 120202, 27, 4151, 6319, 64260, 104274, 9221, 37640, 5666, 4151, 9356, 174410, 54260, 3056, 6, 64260, 68561, 4231, 65482, 2865, 364, 75230, 30741, 564, 75230, 2865, 5, 2442, 6093, 41764, 45629, 204403, 93509, 48253, 7682, 37826, 6319, 75230, 2882, 1470, 75230, 2702, 8903, 13458, 177148, 5, 2451, 2939, 99403, 27, 6093, 2205, 6, 113889, 4944, 8903, 185337, 43178, 44917, 200117, 54745, 2865, 6, 59461, 159696, 1211, 145813, 112711, 188301, 5666, 6, 80453, 7682, 64260, 5666, 5, 2451, 6, 17645, 119718, 34079, 4944, 29771, 119718, 4, 119055, 119273, 9356, 119718, 29259, 4852, 5666, 54745, 2865, 49920, 117902, 127583, 3131, 7682, 4, 119055, 33809, 4151, 224220, 183512, 9221, 6235, 7916, 13497, 22753, 4944, 4, 292, 37826, 564, 68561, 75230, 1644, 5666, 6, 80453, 7682, 64260, 2190, 5666, 6235, 3111, 2865, 43178, 3069, 2865, 6, 88660, 30473, 90848, 4484, 9934, 29259, 5666, 364, 62067, 4, 6235, 35596, 59919, 2882, 32611, 5666, 41764, 45629, 204403, 93509, 178107, 13805, 4269, 60071, 5, 17268, 5666, 158628, 5666, 68889, 2865, 26632, 37826, 22753, 4944, 2190, 111137, 506, 75230, 1982, 5666, 37640, 5666, 6235, 4852, 13159, 7508, 6093, 223229, 8300, 238144, 4, 44458, 5950, 16932, 3373, 39083, 2648, 26632, 4, 7369, 37826, 19532, 137377, 8903, 3131, 64260, 5666, 1285, 43449, 64260, 4113, 37640, 5666, 7213, 151227, 2190, 5666, 3056, 1470, 159696, 4484, 3069, 2865, 6, 172060, 185226, 5, 2451, 620, 29771, 17748, 2882, 7508, 99766, 5666, 4, 21422, 199145, 6681, 44458, 132025, 3131, 7682, 161829, 32, 292, 37826, 73095, 48974, 54260, 4113, 119718, 74806, 12415, 43178, 3069, 221067, 70598, 112711, 43178, 4, 292, 199145, 37826 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11265, 40653, 8903, 121865, 5666, 54745, 112595, 29259, 6093, 32, 4151, 224220, 93047, 9221, 3056, 22639, 60980, 2702, 5, 2451, 7265, 4151, 182990, 2442, 9356, 174410, 54260, 38, 29434, 29259, 41764, 2808, 226112, 23269, 5666, 38, 2451, 40653, 8903, 8903, 1982, 5666, 5, 25491, 221067, 70598, 112711, 43178, 151614, 1982, 5666, 6235, 10918, 16932, 2882, 1285, 6, 223390, 6093, 4, 7369, 37826, 1751, 75230, 5666, 6235, 119718, 39083, 2882, 163139, 46053, 4, 7265, 199145, 95455, 119055, 29060, 22753, 1982, 6, 188301, 5666, 12, 137, 159696, 2882, 874, 43178, 7213, 2702, 5666, 32611, 10069, 1470, 54260, 2932, 65482, 24846, 21327, 304, 26217, 16932, 28714, 5666, 37826, 40653, 8903, 8903, 1982, 5666, 4151, 9356, 174410, 54260, 292, 19532, 75230, 49268, 25046, 5666, 6, 5, 21776, 2865, 204403, 127583, 3131, 7682, 5, 6, 80453, 7682, 64260, 3069, 2865, 223779, 7201, 68558, 5, 26217, 16932, 2882, 112711, 37826, 22753, 4944, 2190, 111137, 506, 75230, 1982, 2932, 4, 132025, 61397, 16011, 5666, 1285, 6681, 4852, 13159, 65482, 6, 131445, 4, 20961, 75230, 2702, 8903, 105235, 20911, 54745, 2865, 6319, 137377, 5, 6, 5, 2451, 14856, 22444, 23741, 1470, 29259, 4944, 3069, 2865, 223779, 7201, 171433, 4, 119055, 2808, 36326, 195007, 2932, 29766, 142429, 17645, 27, 80453, 7682, 64260, 37826, 3069, 8903, 3111, 2865, 43178, 37640, 5666, 194885, 364, 35596, 95455, 223779, 7201, 29771, 120580, 29259, 17160, 4, 8903, 506, 54260, 2702, 5666, 19532, 75230, 2702, 5, 2451, 4269, 54260, 3069, 2865, 7369, 29659, 5666, 68889, 2865, 26632, 4, 119055, 101503, 7501, 9213, 4944, 119055, 13845, 1285, 1982, 22444, 67854, 4, 292, 506, 64260, 7369, 2819, 8903, 225975, 2882, 7265, 212911, 16932, 60118, 905, 5, 68313, 221067, 70598, 112711, 6235, 4852, 13159, 5666, 32611, 5666, 1157, 55823, 2882, 37640, 5666, 7369, 29659, 5666, 68889, 2865, 26632, 5, 119718, 33809, 7038, 51172, 2205, 6235, 159696, 5666, 4151, 6, 89991, 2865, 29259, 82576, 5, 3069, 220224, 151614, 1982, 5666, 22753, 1982, 4151, 226112, 2932, 2932, 120202, 8903, 85465, 146873, 64751, 4852, 5666, 37640, 23269, 2865, 74806, 80453, 4113, 4944, 9424, 119718, 13456, 5666, 54745, 2865, 224220, 183512, 9221, 2190, 5666, 6, 80453, 7682, 64260, 5666, 12, 2451, 9213, 1982, 6, 149364, 4852, 43178, 28726, 4944, 27, 1470, 75230, 1982, 9213, 4944, 178748, 95455, 22753, 4944, 4151, 1644, 75230, 1982, 5666, 27, 3523, 54260, 5666, 12, 12, 12, 14004, 1982, 113743, 115222, 2932, 2932, 4, 170479, 564, 68561, 75230, 1644, 5666, 4151, 224220, 93047, 9221, 37640, 5666, 6319, 29766, 22426, 24244, 5, 9213, 1982, 1054, 54260, 2050, 7511, 2882, 5, 235466, 95455, 32611, 1470, 29259, 6093, 6681, 62067, 119718, 99766, 28726, 4944, 4484, 29259, 2882, 5, 4269, 54260, 5666, 27, 9213, 4944, 9356, 29659, 54260, 68561, 874, 29259, 5666, 120202, 225975, 5, 6, 101328, 4, 3069, 2865, 158628, 5666, 874, 39083, 27, 20315, 2865, 117902, 127583, 3131, 7682, 41764, 12415, 88660, 125830, 141879, 119055, 6093, 16932, 194885, 5666, 6235, 159696, 5666, 99509, 6681, 8300, 238144, 21066, 119718, 5666, 148346, 2932, 5, 220224, 151614, 1982, 5666, 160751, 29060, 5666, 12, 137, 506, 64260, 174538, 2442, 4, 11265, 119055, 29060, 73095, 119718, 710, 42493, 8903, 119718, 71512, 5666, 4, 19532, 37826, 6681, 3131 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109636, 2882, 20911, 2909, 5, 2451, 221067, 70598, 112711, 38, 26217, 16932, 28714, 5666, 37826, 22753, 4944, 32611, 25222, 4944, 6235, 212484, 5666, 3069, 2865, 1751, 34365, 2932, 90848, 1982, 5666, 5, 7369, 37826, 6235, 4852, 43178, 4, 119718, 710, 4151, 123736, 7916, 89930, 3056, 19532, 75230, 2702, 127461, 4, 163139, 7369, 3056, 6235, 119718, 29766, 2932, 6, 113889, 4944, 24012, 35189, 123329, 5, 26217, 16932, 28714, 5666, 37826, 22753, 1982, 98252, 6235, 39293, 56169, 32611, 5666, 3523, 9221, 6093, 7682, 5666, 41764, 76632, 218241, 4, 199145, 506, 64260, 1470, 15907, 1751, 75230, 5666, 9356, 119425, 1470, 4231, 29766, 6235, 2648, 41595, 6681, 1470, 165284, 1644, 4, 6235, 3111, 2865, 43178, 95455, 223779, 7201, 29771, 120580, 29259, 17160, 22639, 364, 62067, 5, 14004, 56169, 37826, 6235, 21733, 17310, 43178, 73095, 48974, 54260, 4113, 119718, 12, 2451, 6, 5, 29257, 49920, 16803, 7544, 4944, 4, 18133, 4, 221067, 70598, 112711, 32, 2451, 9213, 1982, 49920, 4, 6681, 119718, 120467, 170479, 9213, 1982, 42493, 49920, 5666, 32, 292, 7369, 37826, 22753, 4944, 6, 89930, 1644, 115536, 22639, 46711, 29259, 17160, 292, 199145, 4, 163139, 1644, 16803, 199145, 40653, 8903, 1982, 5666, 32, 4231, 2451, 9213, 1982, 119055, 13845, 9356, 50853, 17806, 24621, 2932, 32611, 4151, 9356, 174410, 54260, 4, 292, 37826, 73095, 48974, 54260, 4113, 119718, 8903, 225975, 2882, 7265, 1470, 564, 54260, 4852, 5666, 166464, 4, 292, 119055, 13845, 5666, 20033, 6, 88660, 30741, 132025, 1982, 29259, 2702, 2932, 32, 5, 5, 2451, 620, 120467, 38, 4015, 26217, 16932, 28714, 5666, 37826, 163139, 35189, 6235, 73381, 13497, 1285, 1470, 75230, 2932, 5666, 5, 7369, 37826, 22753, 1982, 4151, 87311, 13497, 4, 54595, 7369, 3056, 182261, 42493, 32611, 4151, 117902, 30473, 42180, 5, 5, 7369, 37826, 95455, 6681, 29659, 112711, 43178, 113889, 4944, 4151, 6, 163177, 119273, 15350, 55990, 173149, 10339, 33809, 5666, 1285, 6681, 3131, 119718, 31623, 18415, 4, 9424, 20616, 31623, 18415, 6319, 99766, 110970, 22426, 710, 44478, 5, 2451, 22639, 7508, 29259, 5666, 15864, 2865, 43178, 19532, 29259, 5666, 4, 18133, 97483, 3131, 16803, 6, 72841, 32, 9213, 1982, 151614, 1982, 1751, 75230, 5666, 9356, 119425, 64044, 3131, 22426, 710, 21295, 874, 29259, 23269, 97483, 47332, 75230, 7511, 2865, 27, 2451, 119055, 6093, 8947, 46440, 2882, 42493, 22639, 6319, 99766, 5666, 4, 6681, 3131, 22426, 710, 21295, 6319, 54260, 5666, 14856, 46464, 87311, 7511, 2865, 4, 159696, 2442, 8947, 4269, 54260, 2882, 42493, 3069, 23050, 4484, 54260, 159696, 2702, 4, 564, 34882, 177148, 42493, 6319, 54260, 5666, 6, 169817, 239162, 2702, 27, 10069, 3373, 39083, 2648, 26632, 40697, 41764, 65482, 46685, 194885, 5666, 6235, 159696, 1982, 6, 26394, 115453, 63532, 4, 133190, 1470, 54260, 59461, 506, 64260, 27702, 46685, 20911, 4, 163139, 221067, 70598, 112711, 43649, 98229, 21295, 4, 37826, 7369, 22753, 4944, 2190, 111137, 506, 75230, 1982, 5666, 4, 8903, 3111, 2865, 43178, 37640, 5666, 20632, 16932, 2865, 123844, 78104, 31249, 107189, 4944, 2190, 5666, 6235, 506, 39083, 67854, 107020, 81414, 20260, 12483, 4, 3069, 8903, 506, 158291, 5666, 54745, 2865, 182275, 7972, 21733, 5, 3111, 16932, 28714, 5666, 3056, 163139, 35189, 23050, 90536, 1982, 5666, 6, 186461, 5666, 5 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7369, 37826, 6, 75230, 4944, 5950, 8300, 6235, 119718, 39083, 2882, 239162, 2865, 43178, 6681, 5666, 6, 37016, 160238, 63593, 4, 6, 26394, 119718, 7682, 147713, 54745, 2882, 121193, 75230, 1644, 37640, 5666, 34654, 141879, 6235, 36326, 161829, 5666, 32611, 4151, 117902, 30473, 42180, 5, 268, 113889, 4944, 54745, 2865, 4, 163139, 1285, 9356, 174410, 54260, 2205, 6681, 3131, 119718, 18640, 5666, 6235, 119718, 29766, 5666, 4, 2205, 7369, 19532, 75230, 161321, 5666, 1751, 34365, 2932, 90848, 1982, 5666, 5, 7369, 37826, 221387, 39384, 3373, 84316, 22426, 39340, 37826, 6235, 225975, 2882, 12, 2451, 9213, 1982, 151614, 1982, 1751, 75230, 5666, 1157, 20260, 6235, 119718, 33809, 16803, 4, 7508, 6093, 6428, 29259, 48253, 6, 101328, 10813, 2882, 42493, 5, 215594, 4, 5960, 4484, 54260, 5666, 1470, 54260, 5666, 1751, 120467, 42493, 6235, 35596, 59919, 2882, 5, 2451, 6428, 29259, 5666, 23050, 119718, 33809, 4113, 2205, 37640, 5666, 1470, 6, 88660, 21295, 33104, 4, 292, 37826, 107020, 120202, 8903, 35596, 59919, 2882, 144754, 1470, 6, 195054, 91595, 6093, 1470, 3373, 39083, 2648, 26632, 4, 2808, 119055, 29259, 2702, 60071, 5, 2451, 2205, 6681, 119718, 120467, 185040, 1751, 34533, 7369, 42493, 32, 2451, 4151, 91163, 4, 199145, 7369, 37826, 42493, 6150, 75230, 23269, 46601, 52480, 158652, 29259, 2882, 5666, 163139, 18133, 5, 2451, 9934, 29259, 2882, 51963, 22444, 98071, 4484, 4, 7369, 119055, 29060, 6, 29060, 59919, 5666, 1470, 54260, 5666, 2865, 39083, 2190, 5666, 72577, 5, 2451, 42493, 29771, 22753, 4944, 199145, 3069, 78891, 149364, 5666, 4, 2451, 506, 64260, 6235, 225975, 2882, 44458, 5950, 16932, 657, 29060, 4, 2451, 62808, 5666, 895, 16932, 6, 159696, 48974, 4, 119055, 13845, 5666, 20033, 55242, 5666, 4, 7265, 199145, 1470, 45521, 38054, 73256, 29771, 4944, 29060, 27, 2451, 42493, 29771, 22753, 4944, 199145, 3069, 46050, 2932, 2932, 4, 292, 37826, 6235, 22426, 3131, 29766, 29060, 7038, 25491, 5, 2451, 1285, 129165, 2865, 20315, 4, 55242, 9213, 1982, 4, 6, 105515, 6, 238144, 4, 220224, 9356, 22426, 5666, 22753, 4944, 6681, 1285, 9934, 29259, 2882, 5666, 4, 159696, 2932, 20033, 33960, 1982, 5666, 22639, 6319, 39083, 59461, 54745, 2865, 7508, 29259, 2882, 183202, 32, 6093, 4, 221067, 70598, 112711, 4, 37826, 151614, 4944, 6, 113889, 4944, 37640, 5666, 132025, 506, 54260, 1982, 107189, 4944, 29771, 24621, 6235, 506, 158291, 16667, 84316, 22426, 4484, 43178, 6681, 44458, 130170, 28726, 75290, 5, 6, 225975, 2882, 7369, 12, 2451, 220224, 6681, 13982, 34533, 133190, 4, 199145, 18133, 564, 34533, 34072, 16747, 4, 199145, 22444, 564, 26632, 48775, 1982, 16803, 7511, 2882, 199145, 18133, 105884, 16803, 5, 3742, 2451, 9213, 4944, 113743, 34072, 16747, 4, 9213, 4944, 32, 131002, 710, 22426, 39340, 37826, 6681, 119718, 29766, 150020, 9934, 29259, 5666, 6319, 137377, 3069, 2865, 112389, 46545, 5666, 11211, 17017, 4, 6235, 8300, 54260, 21295, 10069, 6, 105235, 164863, 5, 2451, 9424, 54260, 1644, 4, 9424, 54260, 1644, 4, 6428, 29259, 5666, 73256, 51172, 87311, 159696, 2702, 3056, 6428, 99766, 5666, 4, 7265, 16175, 75230, 4852, 194734, 45629, 75230, 2932, 5666, 17806, 20911, 7369, 32611, 124724, 27, 17268, 5666, 198754, 2702, 2190, 5666, 130154, 2702, 151614, 1982, 2932, 42493, 2190, 111137 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 506, 77188, 121193, 14081, 5666, 68889, 2865, 26632, 5666, 5, 4852, 54260, 151614, 1982, 2932, 6235, 121865, 5666, 1285, 112389, 46545, 4113, 1751, 119718, 2808, 29025, 4484, 29259, 2882, 4, 94944, 86212, 98071, 20911, 1285, 163139, 194734, 38054, 125897, 3373, 29771, 7201, 112389, 2882, 5, 5666, 29766, 9356, 107020, 4, 9356, 221067, 70598, 112711, 43178, 4, 32611, 4151, 9356, 174410, 54260, 151614, 1982, 5666, 3373, 39083, 2648, 26632, 5666, 119718, 710, 35189, 74806, 22426, 69336, 29060, 1285, 364, 37016, 28726, 4944, 37640, 2932, 1285, 7213, 151227, 5666, 2190, 5666, 43649, 29259, 59919, 6681, 8300, 75230, 2932, 107829, 564, 75230, 39248, 52480, 172398, 5, 123736, 6, 5, 1211, 24621, 37826, 7265, 6, 75290, 120467, 24295, 6, 61397, 54260, 29171, 2882, 1285, 45223, 2648, 168155, 37640, 5666, 1285, 68889, 2865, 26632, 5666, 4, 10705, 5666, 6, 113889, 4944, 54745, 2865, 3056, 874, 43178, 6235, 90536, 18406, 22753, 8300, 2932, 163139, 6681, 29659, 54260, 59461, 18415, 32611, 1285, 212911, 710, 18415, 1157, 55823, 2882, 5666, 5, 35189, 186046, 905, 48253, 7682, 6, 80453, 7682, 64260, 3056, 101251, 8903, 185337, 43178, 364, 24295, 2190, 5666, 98252, 6681, 1982, 29259, 10069, 115825, 159696, 38054, 125897, 68889, 2865, 26632, 2932, 4, 22639, 32054, 29771, 13497, 37640, 5666, 4151, 9356, 174410, 54260, 5, 7369, 37826, 203387, 119055, 29259, 28726, 2819, 13342, 195054, 54260, 98833, 1285, 198754, 4113, 364, 62067, 3069, 2865, 6, 105235, 164863, 2190, 5666, 6, 61397, 75230, 104238, 97634, 2932, 1470, 114564, 4, 132025, 10918, 16747, 213952, 1470, 54260, 2932, 41764, 2808, 22426, 9221, 120467, 132025, 54745, 2865, 87680, 5, 113889, 4944, 9934, 29259, 5666, 1751, 159696, 48974, 1751, 80453, 29259, 4852, 5666, 4, 6, 113889, 4944, 9934, 29259, 5666, 6681, 119718, 29766, 7201, 114436, 5960, 159190, 46601, 2808, 38596, 114436, 6, 174763, 142196, 151614, 4944, 2932, 1285, 3373, 39083, 2648, 26632, 5666, 6235, 46590, 2882, 4, 6150, 7265, 107020, 3056, 4113, 22426, 13159, 74806, 43178, 5, 133190, 6319, 54260, 59461, 6, 105780, 4151, 1285, 59461, 3131, 145702, 37826, 42493, 6235, 119718, 33809, 16803, 163139, 8903, 506, 6093, 7682, 4, 199145, 7265, 107020, 3056, 5, 7369, 4, 221067, 70598, 112711, 4, 37826, 95298, 6319, 54260, 23269, 2865, 4151, 238144, 165607, 42493, 1470, 75230, 2702, 8903, 225975, 2882, 4, 7369, 37826, 6235, 119718, 101503, 32611, 73095, 48974, 54260, 4113, 119718, 5666, 5, 10069, 112389, 2882, 364, 40096, 22753, 4944, 1470, 75230, 2702, 8903, 97634, 2932, 5, 163139, 1470, 70695, 20260, 6093, 6, 113889, 4944, 1470, 46050, 30473, 2702, 37826, 171433, 8903, 506, 75230, 1982, 5666, 5332, 55823, 8903, 5666, 194885, 1470, 75230, 5666, 5666, 7508, 6093, 43449, 54260, 4944, 192956, 2442, 874, 15533, 25207, 4944, 5, 2808, 24295, 44917, 201542, 98833, 5666, 119055, 14081, 2648, 3056, 4151, 17824, 13159, 16932, 16175, 54260, 1644, 564, 54260, 46685, 6235, 29659, 112711, 43178, 22492, 39340, 2882, 4, 132025, 54745, 2865, 6, 103023, 2932, 9915, 54260, 5, 22639, 2442, 6093, 12666, 23741, 2932, 37826, 22753, 4944, 6235, 46590, 2882, 1470, 6, 150271, 29259, 4113, 18415, 101251, 25491, 29659, 52480, 158652, 29259, 2882, 5, 1470, 1751, 159696, 25207, 67826, 2865, 23174, 3056, 6235, 159696, 5666, 9356, 6, 204932, 14081, 26632, 2932, 1470, 18640 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1285, 1751, 31623, 23847, 88680, 5, 42493, 1470, 75230, 2702, 8903, 31249, 29771, 7201, 65482, 5, 4838, 23405, 79238, 23822, 141847, 18415, 5, 64044, 112593, 710, 146873, 4, 564, 135118, 188301, 4113, 4, 128364, 40096, 65482, 7265, 41764, 20961, 54595, 15907, 5666, 4, 6, 26394, 58679, 8300, 18415, 4, 26394, 101328, 186145, 18415, 4, 194885, 5666, 1285, 3373, 39083, 26632, 5666, 182261, 6235, 159696, 5666, 163139, 14856, 159696, 2702, 32611, 5666, 58826, 2865, 4, 119718, 59929, 6, 170355, 2932, 2932, 123736, 2932, 1470, 1751, 29631, 63593, 5, 8947, 151614, 1982, 5666, 22753, 4944, 74806, 64260, 5666, 19302, 39083, 13159, 4, 22753, 2648, 44478, 29259, 12483, 17268, 2932, 4231, 17310, 4113, 4, 5950, 18415, 364, 26612, 1982, 2932, 74806, 1644, 17310, 43178, 22753, 7201, 8300, 5666, 5, 101608, 2932, 54260, 4113, 119718, 3056, 6235, 17494, 2865, 43178, 37640, 5666, 6, 172060, 185226, 5, 163139, 7369, 37826, 133190, 19532, 88680, 8903, 2357, 3131, 80453, 29259, 4852, 2882, 40653, 5666, 1751, 159696, 1644, 4, 37826, 107020, 1751, 75230, 5666, 221067, 70598, 112711, 4151, 143409, 2882, 1285, 506, 62067, 2190, 5666, 1470, 43649, 29259, 150020, 29434, 7682, 6235, 97634, 5666, 5, 2451, 564, 34533, 874, 98071, 2442, 1470, 3069, 32054, 54260, 192956, 2442, 4, 292, 37826, 6235, 119718, 710, 29659, 34654, 119055, 29771, 57619, 5666, 73095, 48974, 54260, 4113, 119718, 4, 292, 199145, 3056, 7265, 124724, 4151, 28415, 32, 2451, 107020, 37826, 22753, 4944, 6235, 119718, 21292, 6235, 4944, 39083, 63593, 2882, 6, 87311, 95564, 159696, 2442, 46601, 63593, 85465, 29025, 125897, 3131, 159696, 82576, 4, 2451, 506, 64260, 7038, 107581, 6235, 225975, 2882, 7265, 6319, 71512, 2190, 5666, 7265, 1470, 117641, 3131, 5666, 10498, 54260, 10813, 5, 2451, 163139, 20033, 163139, 21295, 22753, 4944, 95455, 182261, 9934, 29259, 5666, 22639, 6, 87311, 95564, 159696, 38, 292, 37826, 22753, 4944, 26217, 16932, 28714, 5666, 132025, 8903, 51172, 22426, 2882, 6681, 7038, 4944, 13159, 6, 61397, 167622, 4, 292, 6, 64260, 119055, 33809, 8947, 119055, 29060, 9934, 29259, 5666, 22680, 54260, 28726, 4944, 38, 101608, 2932, 54260, 4113, 119718, 37826, 32611, 107020, 6235, 98055, 2882, 46601, 75230, 8903, 4852, 5, 7038, 107581, 37826, 6, 4, 8903, 119718, 710, 29659, 144754, 5666, 19532, 17160, 1285, 6, 113889, 4852, 5, 710, 2451, 20632, 3111, 4, 199145, 32, 199145, 119055, 29060, 9934, 29259, 5666, 22639, 6, 87311, 95564, 159696, 32, 19024, 93509, 5666, 5, 29771, 75578, 221067, 70598, 112711, 3056, 1751, 75230, 5666, 6235, 28726, 4113, 1470, 75230, 2702, 2932, 21660, 75230, 2932, 5666, 9356, 22753, 4944, 32611, 5666, 21066, 37016, 6093, 2442, 7682, 5666, 10213, 21338, 4, 6235, 119718, 23173, 2882, 78278, 73095, 48974, 54260, 4113, 119718, 119055, 29060, 3069, 1470, 15907, 132025, 506, 54260, 18406, 2442, 54260, 35465, 5, 2190, 5666, 7369, 29659, 6, 113889, 4944, 54745, 2865, 163139, 1644, 7369, 22753, 4944, 16175, 54260, 1644, 5666, 7265, 54745, 2865, 4, 199145, 6, 150839, 64260, 130170, 20616, 77188, 5950, 54260, 5666, 2190, 5666, 199145, 4151, 163139, 13497, 37826, 3069, 107020, 7508, 6093, 226112, 2932, 5, 37640, 5666, 10676, 74806, 80453, 4113, 4944, 9424, 119718, 13456, 5666, 54745, 2865, 224220, 104274, 9221, 2190, 2932, 6, 80453, 7682, 64260, 5666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 101608, 2932, 54260, 4113, 119718, 3056, 95298, 6235, 159696, 5666, 6681, 3111, 2865, 43178, 7265, 137, 2808, 6, 98055, 16175, 171433, 87481, 4113, 27105, 2909, 2451, 20033, 6, 212484, 2882, 42493, 3069, 15529, 364, 29259, 13497, 1470, 64890, 57619, 5666, 6681, 97634, 2932, 4, 292, 37826, 7369, 6235, 225975, 2882, 4, 292, 119055, 43178, 119055, 29060, 1751, 75230, 2932, 160238, 2882, 23050, 2865, 43178, 1470, 3373, 29771, 7201, 3069, 2865, 6, 88660, 70598, 65482, 5666, 34654, 2865, 98071, 89112, 29259, 2882, 5666, 38, 26217, 16932, 28714, 5666, 37826, 74806, 119718, 18640, 5666, 4, 133190, 21422, 7038, 4944, 43178, 37826, 22753, 4944, 40653, 8903, 8903, 1982, 23405, 905, 16932, 2865, 123844, 6, 61397, 167622, 4, 21422, 7369, 5950, 54260, 5666, 37826, 6235, 210674, 119055, 43178, 5666, 1285, 120202, 8903, 121865, 65482, 22680, 54595, 5666, 37640, 5666, 54745, 2882, 74806, 80453, 4113, 1982, 9424, 119718, 13456, 5666, 6, 80453, 7682, 64260, 5666, 2190, 2932, 21776, 2865, 224220, 93047, 9221, 4, 6, 150839, 64260, 22753, 4944, 6235, 159696, 16747, 2882, 3069, 73095, 48974, 54260, 4113, 119718, 5666, 12, 2451, 6, 225975, 4, 22444, 151614, 16803, 42493, 221387, 4, 199145, 49920, 224220, 93047, 9221, 37826, 6235, 136108, 77188, 7265, 6, 80453, 7682, 64260, 5666, 32, 101608, 2932, 54260, 4113, 119718, 37826, 120202, 8903, 75290, 2882, 9934, 29259, 5666, 117902, 23269, 2865, 37640, 23269, 2865, 7508, 75230, 130929, 2865, 22426, 1644, 5, 2451, 4231, 37640, 3111, 112711, 43178, 6, 238144, 126934, 37640, 5666, 54745, 2865, 74806, 80453, 4113, 4944, 32, 292, 73095, 48974, 54260, 4113, 119718, 37826, 6235, 98055, 2882, 1470, 54260, 5666, 874, 39083, 32611, 221067, 70598, 112711, 43178, 4, 1470, 54260, 5666, 874, 39083, 32611, 7038, 4944, 43178, 4, 292, 119055, 6093, 37826, 2648, 120467, 81444, 40653, 8903, 8903, 1982, 2932, 32, 2451, 6, 4, 6, 238144, 165607, 4151, 41764, 45629, 22426, 29766, 37640, 5666, 4151, 22639, 27720, 194734, 144295, 3056, 81444, 6235, 159696, 5666, 40026, 49597, 6093, 163139, 9356, 1470, 29259, 4944, 4, 32611, 5666, 6, 172060, 185226, 292, 37826, 6235, 225975, 2882, 221067, 70598, 112711, 5, 2588, 46985, 17410, 33809, 2442, 37826, 74806, 119718, 18640, 5666, 5, 7369, 3056, 204982, 6235, 159696, 5666, 32611, 4151, 9356, 174410, 54260, 4, 7369, 68313, 101251, 8903, 7201, 29766, 5666, 6, 113889, 4944, 151614, 75578, 32611, 4151, 48706, 112711, 42180, 5, 2808, 24295, 1751, 34365, 2932, 90848, 1982, 2932, 3056, 32611, 1470, 119055, 29259, 28726, 67826, 1644, 6235, 119718, 29766, 5666, 5, 73095, 48974, 54260, 4113, 119718, 37826, 64044, 3131, 22426, 69336, 29060, 9934, 29259, 5666, 17288, 27105, 4, 34654, 33960, 2865, 22492, 73215, 29766, 39340, 4, 54745, 2865, 874, 88917, 9221, 4, 120202, 8903, 3131, 22426, 69336, 29060, 54745, 2882, 34654, 2865, 43178, 37640, 5666, 564, 75230, 4944, 5, 11556, 107581, 37826, 160751, 90848, 30741, 6, 166198, 28726, 1982, 130170, 13342, 506, 54260, 8300, 5666, 54745, 2865, 6, 48253, 77525, 106559, 3131, 7682, 5, 26217, 16932, 28714, 5666, 2190, 2932, 212911, 2808, 33809, 2442, 151614, 1982, 5666, 6235, 68566, 163177, 29060, 1470, 16175, 55049, 65482, 2865, 45495, 130745, 5, 101608, 2932, 54260, 4113, 119718, 37826, 22753, 1982, 3069, 8903, 39293, 56169, 32611, 5666, 6, 37016 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10213, 21338, 9356, 221067, 70598, 123844, 3069, 64991, 5666, 4, 1470, 70695, 8300, 6235, 97634, 5666, 1285, 117902, 15231, 7972, 26394, 4, 1470, 119055, 29766, 7201, 6235, 97634, 2932, 1470, 6, 181615, 3069, 874, 64071, 5666, 2190, 5666, 6235, 225975, 2882, 12, 2451, 182261, 6093, 3056, 44458, 132025, 506, 54260, 1982, 37640, 5666, 132025, 506, 54260, 1982, 5, 8947, 4269, 54260, 2882, 3069, 54745, 2865, 27, 2451, 119055, 29771, 119718, 120467, 32, 6, 225975, 4, 657, 29771, 62808, 49920, 5666, 32, 26217, 16932, 28714, 5666, 37826, 1751, 75230, 5666, 42493, 6235, 88660, 13497, 6428, 69127, 5666, 4, 107020, 37826, 22753, 4944, 6235, 119718, 39083, 23093, 6093, 5666, 3496, 64260, 3131, 73095, 48974, 54260, 4113, 119718, 2932, 4, 163139, 25491, 119425, 3373, 26, 68313, 42493, 29771, 6, 80885, 22426, 62067, 183202, 74, 7369, 37826, 30473, 1982, 6150, 75230, 1751, 159696, 2442, 2190, 111137, 39293, 56169, 4, 6150, 95455, 10213, 21338, 37826, 1470, 6, 99176, 95564, 6235, 97634, 5666, 5, 2451, 1285, 29434, 29259, 10705, 54561, 16011, 21660, 7682, 80885, 1285, 119718, 15533, 17645, 4, 1285, 15857, 109600, 6093, 7213, 101608, 163139, 1644, 5666, 42493, 171433, 23847, 29259, 150020, 2190, 5666, 220224, 9934, 29259, 8903, 5666, 364, 29259, 13497, 6681, 97634, 2932, 42493, 6235, 185337, 43178, 22639, 132025, 68566, 7201, 5, 14004, 4944, 151614, 1982, 6428, 29259, 2882, 28726, 4944, 2190, 5666, 19302, 29766, 221387, 4, 163139, 4151, 41764, 45629, 22426, 29766, 4231, 37826, 6235, 225975, 2882, 13342, 2865, 224220, 104274, 9221, 12, 2451, 220224, 163139, 1644, 5666, 42493, 4269, 54260, 5666, 4, 49920, 117902, 1644, 88660, 119718, 29171, 5, 14856, 37826, 1751, 75230, 5666, 5332, 80453, 33809, 119718, 2882, 7265, 564, 54260, 4852, 5666, 2190, 5666, 7265, 72577, 5666, 4, 8947, 45223, 23741, 42493, 5, 2451, 20033, 192183, 43178, 95298, 42493, 120202, 159696, 16747, 5666, 169550, 4113, 9356, 174410, 54260, 13159, 37640, 2932, 1285, 171433, 8903, 46685, 146873, 6, 89991, 5666, 4, 37640, 23269, 2865, 3373, 75230, 23269, 4, 1285, 874, 29766, 203387, 9934, 29259, 2882, 4151, 17268, 5666, 27, 2451, 49920, 117902, 1644, 88660, 119718, 29171, 38, 292, 37826, 6235, 22426, 17410, 22426, 21295, 4151, 41764, 45629, 22426, 29766, 4, 292, 220224, 4852, 29259, 23269, 5666, 1751, 75230, 5666, 3373, 29259, 119718, 710, 42493, 28415, 6319, 54260, 5666, 3373, 39083, 2648, 26632, 5666, 5, 137, 62808, 5666, 42493, 4269, 54260, 5666, 292, 6, 225975, 54561, 54260, 4, 292, 219047, 3056, 6235, 710, 23964, 4, 170479, 5666, 87680, 2909, 2451, 137, 14004, 1982, 119055, 13845, 22753, 4944, 190800, 2442, 54260, 2648, 5666, 7265, 5666, 895, 16932, 5666, 123736, 7916, 89930, 32611, 4151, 9356, 174410, 54260, 2004, 292, 37826, 6235, 225975, 2882, 4151, 224220, 93047, 9221, 2190, 5666, 37826, 20033, 6235, 506, 54260, 2702, 22492, 2442, 75230, 2702, 5666, 54260, 5666, 37640, 5666, 132611, 76526, 5, 2190, 5666, 11265, 37826, 81444, 221387, 4, 199145, 6, 80453, 7682, 64260, 37826, 137377, 8903, 35596, 59919, 2882, 32, 25491, 73095, 48974, 54260, 4113, 119718, 5666, 194885, 5666, 1285, 6, 162785, 1644, 43178, 17288, 104238, 6235, 119718, 29766, 5666, 4, 7369, 37826, 6235, 119718, 101503, 7265, 1470, 10498, 54260, 10813, 32611, 1285, 3944, 22426, 5666, 12, 2451, 20632 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 48277, 20911, 22753, 4944, 1751, 75230, 5666, 6, 159696, 164863, 15907, 68313, 4, 292, 37826, 7369, 6235, 22426, 41595, 21295, 3069, 11556, 4944, 43178, 2190, 5666, 3069, 221067, 70598, 112711, 43178, 5, 292, 4046, 2451, 20033, 564, 54260, 20315, 151614, 1982, 5666, 6, 29060, 119718, 120467, 221387, 4, 292, 37826, 6235, 4852, 29771, 13497, 7508, 6093, 184639, 7038, 107581, 5, 2451, 95298, 42493, 1470, 23174, 2808, 57619, 5666, 4, 292, 37826, 3069, 8903, 8903, 1982, 5666, 20632, 16932, 28714, 5666, 5, 2451, 199145, 37826, 6235, 35596, 59919, 2882, 6, 80453, 7682, 64260, 32, 2451, 7369, 37826, 42493, 1470, 29259, 23405, 79238, 15231, 63532, 4, 292, 221067, 70598, 112711, 3056, 23050, 159696, 5666, 32054, 54260, 28726, 4944, 4, 119718, 710, 7369, 119055, 39083, 2882, 9356, 17494, 2865, 43178, 1470, 4269, 60071, 4, 47833, 6, 80885, 22426, 62067, 183202, 17190, 47332, 5, 292, 7369, 37826, 8903, 225975, 2882, 4, 47833, 95455, 3056, 22639, 4151, 6319, 64260, 109636, 18415, 57619, 37640, 5666, 54745, 2865, 6319, 29766, 22426, 24244, 88660, 2865, 104274, 9221, 5, 2451, 3056, 7369, 1470, 3496, 119718, 26632, 38, 292, 73095, 48974, 54260, 4113, 119718, 37826, 22753, 1982, 40653, 61397, 905, 20911, 37640, 57619, 905, 64991, 66293, 23050, 216510, 3069, 72577, 6093, 28714, 66293, 6319, 137377, 4, 292, 6681, 54745, 2865, 3056, 6, 80453, 7682, 64260, 66616, 34557, 119055, 77188, 5, 2451, 199145, 4, 874, 54260, 16667, 34079, 4, 6, 105235, 21295, 7369, 7265, 22753, 4944, 160238, 32, 292, 37826, 6235, 119718, 39083, 2882, 119718, 21292, 5666, 4231, 212911, 2808, 33809, 2442, 5, 2451, 9213, 1982, 874, 54260, 5666, 4, 292, 7038, 107581, 37826, 22753, 4944, 6681, 506, 125942, 4, 6, 238144, 165607, 221067, 70598, 112711, 37826, 68561, 107020, 6235, 23269, 1982, 5666, 1470, 146258, 150541, 5666, 6, 98055, 4, 292, 9213, 4944, 874, 54260, 5666, 4, 292, 37826, 7369, 6235, 225975, 2882, 144754, 1470, 122133, 1982, 5666, 166464, 4, 292, 6150, 7369, 3056, 44458, 2181, 20315, 4, 6150, 75230, 874, 54260, 5666, 9213, 4944, 5, 2451, 2190, 5666, 9213, 1982, 874, 54260, 5666, 4, 47833, 7369, 3056, 27, 44458, 8947, 6093, 5, 292, 221067, 70598, 112711, 6, 4, 37826, 20961, 905, 111137, 55049, 2882, 32611, 159190, 9934, 29259, 2932, 46601, 2808, 38596, 65482, 4, 6, 174763, 142196, 4, 7369, 37826, 95455, 6235, 97634, 2932, 6, 63188, 5666, 874, 39083, 4, 6, 159696, 2932, 7369, 37826, 6235, 119718, 39083, 2882, 37922, 21660, 5666, 1470, 75230, 2702, 17410, 30741, 292, 6235, 119718, 21292, 72649, 88917, 77188, 22426, 90848, 8300, 35596, 123329, 27, 2451, 1285, 9424, 29259, 2882, 119055, 29060, 119055, 29259, 4852, 5666, 4, 199145, 4151, 123736, 7916, 89930, 3056, 5, 101608, 2932, 54260, 4113, 119718, 37826, 6, 159696, 2932, 5666, 54745, 2865, 28415, 42493, 6235, 119718, 39083, 2882, 7508, 54260, 2648, 5666, 5, 107020, 37826, 8903, 1982, 90848, 30741, 4151, 6319, 137377, 12, 199145, 170479, 5666, 220224, 81444, 182261, 6093, 166464, 4, 1470, 75230, 1982, 14856, 119055, 29060, 25491, 61541, 5666, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 40653, 4151, 19532, 75230, 2702, 8903, 91163, 16932, 22639, 27720, 194734, 144295, 32, 37271, 30473, 1982, 120202, 4852, 171433, 5666, 7213, 2702, 5666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32, 48494, 2442, 7201, 874, 43178, 22753, 4944, 81444, 4944, 9934, 2190, 22680, 54260, 2648, 5666, 4, 8947, 3056, 48494, 200117, 6681, 112711, 204982, 6, 238144, 29171, 3373, 39083, 2442, 26632, 5666, 4, 199145, 119055, 13845, 5666, 874, 75230, 25207, 151614, 1982, 5666, 3069, 13342, 29659, 54260, 5666, 2909, 5, 144754, 1470, 9424, 37016, 5666, 54260, 2882, 29659, 4, 42493, 1470, 75230, 2702, 8903, 31249, 29771, 150020, 5, 117902, 23269, 2865, 3056, 7369, 6235, 4852, 13159, 5666, 150271, 90848, 2932, 5666, 22639, 194885, 6, 61397, 167622, 43178, 5, 2451, 16175, 29259, 123073, 4231, 26632, 5666, 22639, 4151, 6, 136108, 29259, 10705, 5666, 75230, 1982, 21660, 7682, 82576, 1285, 119718, 15533, 17645, 4, 292, 506, 64260, 6235, 225975, 2882, 221067, 70598, 112711, 5, 7369, 37826, 4151, 46590, 2882, 4, 6150, 73095, 48974, 54260, 4113, 119718, 3056, 5332, 22426, 13159, 10705, 86212, 98071, 4484, 2451, 2190, 5666, 22639, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 194885, 5666, 6, 113889, 4944, 216333, 4113, 4, 292, 37826, 101608, 2932, 54260, 4113, 119718, 6235, 225975, 2882, 4, 163139, 6, 72841, 25491, 22426, 213952, 22753, 1982, 5, 2451, 3523, 54260, 5666, 4, 6, 225975, 1211, 13515, 42493, 4, 9213, 4944, 6319, 43178, 44458, 6, 29766, 12415, 22492, 2442, 21660, 4, 9213, 1982, 151614, 1982, 7508, 9221, 3768, 10705, 5666, 6, 80885, 22426, 62067, 183202, 5666, 78891, 39083, 4151, 8300, 54260, 21295, 6, 159696, 2932, 5666, 107020, 4, 9934, 29259, 5666, 32899, 123559, 4113, 3056, 2702, 28726, 22426, 88660, 119718, 4, 6, 64260, 3056, 1470, 564, 119718, 26632, 5, 2451, 119055, 6093, 3056, 7369, 4, 1470, 3373, 29771, 10918, 49597, 14081, 20315, 87311, 58679, 2882, 32, 292, 37826, 22753, 4944, 7038, 107581, 19532, 29259, 5666, 8903, 9719, 29659, 58826, 24295, 74806, 80453, 4113, 4944, 5, 6, 5, 2451, 1470, 119718, 2808, 20315, 1470, 3373, 29771, 10918, 49597, 14081, 20315, 87311, 58679, 2882, 4, 292, 37826, 7265, 11265, 171433, 17645, 120202, 61397, 35596, 59919, 2882, 221067, 70598, 112711, 5, 292, 95298, 42493, 37640, 5666, 1285, 137, 25491, 16629, 34709, 6093, 2004, 7369, 37826, 1751, 75230, 5666, 143409, 6235, 225975, 2882, 12, 137, 10069, 4269, 39083, 2648, 65482, 5332, 204403, 1644, 29060, 5666, 4, 14856, 6, 141353, 7201, 7265, 220224, 15864, 30741, 66616, 29771, 7201, 38, 5, 5, 155, 6, 8580, 2451, 1470, 3496, 29771, 4944, 63593, 6235, 17268, 23269, 5666, 4, 292, 7038, 107581, 37826, 7265, 5666, 64890, 57619, 5666, 6319, 75230, 4113, 4944, 1470, 9934, 21660, 8903, 97634, 5666, 7265, 5666, 1751, 159696, 38054, 123736, 2932, 54745, 2865, 1751, 46545, 6, 109636, 4944, 7682, 5666, 119055, 29766, 34709, 4, 657, 119718, 120467, 7369, 37826, 171433, 8903, 23847, 54260, 2882, 32611, 130170, 506, 54260, 8300, 5666, 292, 6681, 6150, 75230, 23269, 364, 31623, 39340, 22426, 3056, 44458, 6, 99766, 2808, 24295, 874, 79907, 2932, 29771, 98071, 7758, 75230, 4852, 5, 2451, 199145, 4, 8947, 9721, 35596, 9356, 124724, 42493, 32, 292, 37826, 73095, 48974, 54260, 4113, 119718, 6235, 225975, 2882, 7265, 2808, 10498, 54260, 10813, 5, 7369, 37826, 3069, 8903, 3111, 2865, 43178, 9356, 874, 33809, 4944, 43178, 21776, 2882, 41764, 76632, 218241, 4, 22753, 4944, 6235, 3111, 24621, 22492 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 106559, 150839, 54260, 8300, 5666, 54745, 2865, 137, 2702, 64567, 62067, 16629, 21733, 2004, 163139, 212911, 2808, 33809, 2442, 37826, 132025, 61397, 25046, 5666, 54745, 63532, 40714, 506, 33104, 65482, 2865, 1470, 75230, 119718, 5666, 5, 2451, 1285, 128364, 31623, 44478, 151614, 1982, 5666, 28415, 6319, 54260, 5666, 75601, 1644, 42493, 37271, 292, 37826, 221067, 70598, 182759, 9221, 171433, 15533, 54196, 5, 2451, 95455, 119055, 13845, 5666, 20033, 1751, 109636, 16932, 55242, 5666, 4, 292, 37826, 1751, 75230, 5666, 7265, 564, 54260, 4852, 4484, 29259, 2882, 120202, 8903, 35596, 59919, 2882, 7038, 107581, 5, 2451, 133190, 5, 42493, 46050, 2932, 5666, 22753, 4944, 4, 20033, 5666, 9424, 29060, 54260, 1644, 5666, 1285, 6, 63188, 905, 36326, 4, 292, 37826, 60980, 710, 17410, 33809, 2442, 185000, 1470, 41764, 3131, 29766, 4113, 5, 2451, 6, 61397, 91595, 3056, 212911, 63864, 4, 292, 37826, 6235, 225975, 2882, 73095, 48974, 54260, 4113, 119718, 5, 7369, 3056, 6235, 4852, 13159, 5666, 32611, 1285, 136645, 4, 37826, 160751, 212484, 5666, 22639, 4151, 10184, 24152, 62067, 123329, 657, 29771, 4944, 37640, 5666, 6, 48253, 77525, 106559, 3131, 7682, 2190, 5666, 37826, 4269, 23173, 219947, 2190, 111137, 1982, 170098, 5666, 4, 292, 364, 29259, 98833, 3056, 1470, 163139, 13497, 4, 292, 506, 64260, 7369, 22753, 4944, 152, 6681, 35596, 59919, 2882, 4, 292, 8947, 6, 101328, 98833, 37640, 2932, 54745, 2865, 6428, 29259, 48253, 5, 2451, 364, 59929, 2882, 1751, 75230, 5666, 6235, 22426, 26632, 77188, 1285, 1751, 159696, 1982, 109316, 4944, 32, 46985, 17410, 33809, 2442, 6655, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 1470, 40026, 3131, 6, 172060, 126968, 28726, 1751, 159696, 1982, 109316, 4944, 1470, 17310, 4113, 1982, 29060, 5666, 1470, 22426, 2932, 54260, 5666, 37640, 5666, 1470, 54260, 159696, 28726, 5, 25491, 219047, 22639, 6, 5, 4151, 364, 54260, 2865, 27, 292, 7369, 37826, 6235, 97634, 5666, 1470, 564, 135118, 188301, 54561, 42733, 8300, 4, 78891, 39083, 22639, 45521, 50853, 84475, 22639, 119055, 14081, 2648, 4, 10339, 147713, 9213, 4944, 15864, 30741, 10339, 29259, 6093, 1470, 54260, 16667, 10705, 2932, 9424, 238144, 4, 22639, 4151, 17824, 13159, 16932, 6, 74004, 159696, 15529, 107581, 152, 10339, 147713, 2882, 22753, 1982, 9356, 20033, 6, 26394, 115453, 75290, 2932, 27, 2808, 24295, 1751, 34365, 2932, 90848, 1982, 5666, 3056, 6235, 119718, 29766, 5666, 67826, 1644, 5, 20632, 16932, 28714, 2932, 3056, 23050, 147713, 5666, 3069, 74004, 2865, 43178, 3882, 144754, 73095, 164863, 54260, 4113, 119718, 5666, 5960, 9934, 29259, 5666, 10213, 21338, 5, 7038, 107581, 37826, 6235, 119718, 20961, 63593, 2882, 9915, 54260, 3069, 874, 34557, 98833, 54260, 5, 9820, 14081, 2808, 33809, 2442, 9213, 4, 6235, 159696, 5666, 6681, 3111, 2865, 43178, 1285, 182990, 9424, 29259, 2882, 7265, 5666, 1470, 54260, 159696, 28726, 5, 22639, 3131, 34365, 2932, 90848, 1982, 5666, 3056, 6235, 119718, 29766, 5666, 119055, 20961, 63593, 5, 8947, 151614, 1982, 5666, 22753, 1982, 9356, 51963, 2865, 43178, 6235, 21733, 4113, 22426, 2882, 10069, 1470, 75230, 2932, 5666, 4, 2190, 5666, 51963, 151614, 1982, 5666, 122133, 1982, 6235, 13982, 63593, 21295, 5, 2808, 24295, 223779, 7201, 29771, 20260, 119273, 1644, 4, 199145, 3056, 6235, 159696, 5666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9356, 221067, 70598, 112711, 43178, 6, 198087, 137377, 5666, 4, 506, 64260, 6235, 21733, 17310, 43178, 5, 221067, 70598, 112711, 3056, 6235, 159696, 5666, 6, 59461, 159696, 168155, 37640, 5666, 1285, 40653, 125897, 4, 506, 64260, 7369, 34076, 29259, 1982, 4151, 506, 77188, 54745, 2865, 19302, 17310, 2190, 5666, 37826, 22753, 4944, 6235, 51172, 22426, 2882, 3069, 2882, 24621, 37826, 6, 42733, 142429, 77188, 37640, 5666, 1285, 119718, 15533, 17645, 29659, 34557, 4, 37640, 5666, 564, 215206, 2808, 20315, 29659, 34557, 1470, 8300, 238144, 2882, 5666, 874, 39083, 292, 137, 73381, 65482, 5666, 9356, 119425, 10339, 29259, 6093, 4, 22753, 1982, 3069, 23847, 54260, 2882, 5666, 3069, 4151, 620, 115536, 2909, 2451, 73095, 48974, 54260, 4113, 119718, 4, 7038, 107581, 4, 73095, 48974, 54260, 4113, 119718, 38, 26217, 16932, 28714, 5666, 37826, 220224, 6235, 159696, 20911, 7265, 1285, 364, 35596, 4, 7265, 1285, 895, 2882, 1982, 75230, 2932, 66293, 5, 8903, 51172, 22426, 2882, 95455, 223779, 7201, 29771, 20260, 119273, 1644, 2190, 5666, 2205, 19532, 75230, 2702, 195054, 29771, 150020, 4151, 184639, 68561, 29434, 75230, 2702, 2932, 5, 25491, 119425, 3056, 120202, 8903, 8903, 1982, 5666, 6235, 119718, 29766, 5666, 1470, 9356, 61541, 12, 2451, 1285, 1285, 59461, 3131, 145702, 3069, 1285, 68889, 2865, 26632, 2932, 38, 4852, 29259, 23269, 5666, 163139, 35189, 37640, 5666, 1285, 1751, 34365, 2932, 90848, 1982, 66293, 19532, 75230, 2702, 8903, 58679, 200117, 5666, 122133, 56703, 28726, 59919, 125897, 101503, 710, 44478, 34533, 2932, 4, 6, 26394, 105235, 21295, 22753, 4944, 9356, 1285, 123736, 7201, 65482, 874, 29259, 44478, 37640, 5666, 1285, 7265, 22680, 120467, 2882, 6, 150271, 75230, 18415, 68889, 2865, 26632, 5666, 5, 4151, 224220, 183512, 9221, 7265, 73095, 48974, 54260, 4113, 119718, 5666, 194885, 5666, 8903, 2932, 2808, 26394, 5666, 3069, 2865, 6, 172060, 185226, 5, 17268, 5666, 564, 215206, 2808, 20315, 29659, 34557, 3056, 163139, 35189, 120202, 8903, 8903, 1982, 5666, 6235, 119718, 29766, 5666, 1470, 9356, 61541, 12, 37271, 27909, 39248, 29259, 2702, 5666, 54745, 2865, 3373, 75230, 119132, 32054, 29771, 13497, 5, 163139, 21066, 657, 75230, 4944, 46598, 95455, 170479, 42493, 78683, 16803, 5666, 4, 6681, 6319, 54260, 5666, 6, 74004, 4944, 42493, 120202, 128540, 5, 22753, 4944, 4, 42493, 21776, 4944, 65482, 5666, 22753, 1982, 7265, 17190, 1982, 16870, 125897, 30109, 4113, 23741, 5666, 20971, 5, 25491, 2865, 6319, 75322, 104274, 9221, 37640, 5666, 7508, 6093, 9356, 174410, 54260, 4, 60980, 22426, 15907, 112711, 3373, 29766, 34882, 24295, 4, 3056, 35189, 41764, 2808, 22426, 9221, 34322, 19532, 75230, 2702, 8903, 145168, 2932, 37640, 5666, 874, 75230, 1644, 4, 119055, 43178, 7369, 37826, 4151, 506, 77188, 34654, 1644, 21660, 18415, 119055, 6093, 16932, 5, 7369, 3056, 6235, 159696, 5666, 22639, 144754, 5666, 7508, 6093, 9356, 174410, 54260, 4, 37826, 7369, 6235, 97634, 2932, 1470, 84087, 25491, 2648, 29259, 2882, 213952, 5666, 6, 98055, 32611, 6, 80453, 7682, 26632, 5666, 2190, 2932, 6235, 170355, 98833, 12, 2451, 6681, 3131, 109636, 46545, 2882, 5, 2181, 119055, 29060, 220224, 182261, 45223, 150020, 163139, 2808, 16175, 75230, 2882, 5666, 564, 167622, 13159, 5, 6093, 37826, 42493, 9356, 119718, 15533, 5666, 4838, 148346, 13342, 5666, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2932, 1470, 186046, 81414, 2882, 37640, 5666, 6, 80453, 7682, 40096, 5666, 4, 163139, 14856, 506, 64260, 107020, 1751, 75230, 5666, 40653, 8903, 8903, 1982, 5666, 1470, 9424, 238144, 18415, 223779, 27720, 76776, 23847, 2808, 24621, 12, 2451, 137, 20961, 75230, 2702, 3131, 7682, 5666, 54745, 2865, 21776, 168155, 119718, 6, 113889, 4944, 218606, 23269, 20260, 75230, 1644, 5666, 5, 202446, 5666, 1285, 9356, 174410, 54260, 22639, 167048, 21660, 6093, 6, 204932, 10918, 22426, 1644, 24295, 5, 9934, 29259, 5666, 17824, 54260, 2882, 3069, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 22639, 4235, 17645, 35189, 6, 120749, 17310, 5, 6319, 29766, 87442, 9221, 5666, 7265, 5666, 10339, 29259, 6093, 119055, 29060, 26, 35189, 6235, 59461, 14081, 19532, 96256, 87311, 5, 2702, 29771, 203749, 33809, 1982, 2909, 2451, 8947, 178748, 1751, 75230, 1982, 6319, 29766, 87442, 9221, 5666, 4151, 1751, 73381, 37640, 5666, 4151, 19532, 15231, 44478, 17645, 14081, 54260, 5666, 5, 8947, 119055, 29060, 37640, 5666, 21776, 2865, 220273, 219947, 42493, 19532, 75230, 2702, 5, 80453, 7682, 64260, 37826, 95455, 6235, 225975, 2882, 7265, 3069, 1644, 29771, 4944, 13159, 5, 7369, 37826, 6235, 119718, 39083, 2882, 4, 172590, 75230, 101608, 54745, 2865, 224220, 104274, 9221, 2190, 5666, 54745, 2865, 1751, 123329, 5666, 3373, 29771, 203749, 18340, 170479, 5666, 107020, 49920, 22492, 75230, 1982, 1285, 6, 113889, 35596, 4113, 3373, 39083, 192061, 5666, 5, 35189, 117902, 127583, 3131, 7682, 60980, 200117, 109316, 119718, 37826, 1751, 75230, 5666, 9424, 29259, 2882, 174246, 163139, 35189, 6, 159696, 50610, 123329, 5, 20315, 2865, 41764, 45629, 204403, 93509, 48253, 7682, 37826, 4151, 224220, 93047, 9221, 3373, 29766, 218241, 24295, 120202, 8903, 3131, 93449, 2808, 24295, 21776, 168155, 119718, 4, 2190, 5666, 5950, 54260, 5666, 3056, 7369, 6235, 90536, 1982, 2932, 43649, 54260, 2932, 1470, 67854, 130154, 5666, 98664, 710, 37640, 83182, 9356, 174410, 54260, 5, 9934, 29259, 5666, 130154, 6093, 6, 64991, 37826, 9356, 107020, 6235, 13982, 4113, 29060, 163139, 9356, 1470, 117902, 38054, 210726, 123329, 5, 52, 101608, 2932, 54260, 4113, 119718, 3056, 6235, 29659, 112711, 43178, 37640, 5666, 119055, 29259, 2882, 5666, 5, 40653, 5666, 6, 162785, 1644, 3056, 9356, 107020, 8903, 159696, 5666, 132025, 8903, 97634, 5666, 95455, 223779, 7201, 29771, 20260, 119273, 1644, 2190, 5666, 22639, 1285, 364, 35596, 37826, 7369, 6235, 506, 158291, 5666, 1470, 60980, 48253, 1644, 39340, 7265, 223779, 7201, 171433, 13982, 64260, 5, 7369, 3056, 6235, 159696, 5666, 6681, 2648, 29259, 8903, 2882, 5, 37271, 97634, 46685, 119055, 29060, 874, 43178, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 40653, 1285, 1470, 54260, 2932, 65482, 32, 199145, 6, 159696, 16932, 192183, 43178, 16175, 171433, 1470, 75230, 101608, 6, 26394, 22426, 1644, 171433, 16932, 5666, 1285, 9356, 61541, 5666, 32, 40653, 1982, 29259, 2882, 5666, 95455, 23822, 29259, 17160, 4, 54745, 2865, 163139, 177243, 90848, 2648, 4, 8947, 170479, 6319, 54260, 5666, 177157, 43178, 42493, 43449, 29259, 1982, 5666, 37640, 5666, 54745, 2865, 64044, 17410, 2932, 5666, 220224, 123073, 32, 5, 5, 95455, 119055, 29060, 7369, 16175, 171433, 5, 120202, 61397, 20616, 2882, 2909, 5, 80453, 7682, 64260, 37826, 7265, 1470, 6, 113889, 4852, 15231, 10813, 6235, 119718, 710 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29659, 1285, 6681, 22680, 29766, 65482, 119055, 171433, 26394, 4, 144754, 5666, 874, 75230, 1644, 2190, 5666, 7265, 5666, 6, 113889, 4852, 37826, 7369, 6235, 46464, 22426, 2882, 1285, 9934, 75230, 123073, 43449, 64260, 13845, 905, 23741, 4, 119718, 120467, 37826, 74806, 203749, 5666, 37640, 2932, 657, 63593, 1285, 68889, 2865, 26632, 5666, 5, 7369, 3056, 6, 26394, 4113, 185337, 43178, 220273, 113889, 35596, 3069, 2865, 60980, 22426, 15907, 112711, 3373, 29766, 218241, 24295, 5, 2451, 9213, 1982, 874, 54260, 2932, 27, 22639, 364, 41595, 6093, 111506, 4, 292, 9934, 29259, 5666, 21374, 5666, 37826, 22753, 4944, 130363, 29259, 1644, 91595, 4, 6235, 119718, 29766, 5666, 4269, 17410, 57619, 7682, 163139, 1470, 14856, 3131, 65482, 115222, 22426, 1644, 37640, 5666, 1470, 17824, 182759, 2882, 292, 22639, 10069, 43649, 29060, 27, 2451, 42493, 133190, 22639, 1285, 43649, 29060, 4, 292, 37826, 3373, 29766, 218241, 24295, 120202, 8903, 35596, 59919, 2882, 7265, 46985, 2702, 4, 292, 22639, 1285, 4151, 59919, 1470, 75230, 4944, 27, 2190, 5666, 22639, 1285, 6, 99176, 110970, 54260, 43178, 292, 42493, 4730, 64044, 2865, 137377, 29060, 3056, 6235, 17494, 2865, 43178, 3069, 657, 75230, 67854, 4151, 4231, 98071, 23405, 6093, 6093, 22518, 29259, 75578, 4, 6235, 13458, 115536, 1470, 29434, 710, 18415, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 12, 37271, 35189, 6235, 61397, 14081, 19532, 96256, 87311, 16667, 29771, 203749, 18340, 119055, 29060, 42493, 6319, 29766, 87442, 9221, 5666, 5, 42493, 118222, 40633, 43178, 38, 19532, 25046, 119718, 20961, 150020, 22753, 4944, 32611, 1285, 6428, 29259, 48253, 40697, 1751, 34365, 2932, 90848, 1982, 16667, 37640, 5666, 4151, 22639, 27720, 2932, 16932, 17645, 5, 22753, 4944, 3069, 2865, 119273, 5666, 3069, 2865, 3373, 75230, 23269, 2702, 19532, 15231, 44478, 17645, 2190, 5666, 10213, 3131, 75230, 2865, 75230, 150020, 1197, 7511, 2882, 19532, 75230, 2702, 212484, 5666, 34654, 22639, 31623, 23829, 15231, 119718, 5, 107020, 101251, 119718, 20961, 150020, 5, 7265, 1470, 6681, 8300, 75230, 112595, 29259, 6093, 107020, 19532, 75230, 2702, 119718, 20961, 150020, 37640, 5666, 1285, 1751, 34365, 97634, 1982, 16667, 4, 6681, 23269, 2865, 43178, 194885, 117902, 30473, 42180, 2702, 5, 20033, 5666, 107020, 46711, 29259, 1982, 5666, 37640, 5666, 41764, 100810, 4484, 2190, 5666, 37640, 5666, 6, 88660, 159696, 1644, 27, 2451, 182261, 4, 292, 9356, 2865, 224220, 93047, 9221, 3373, 29766, 218241, 24295, 151614, 1982, 5666, 22753, 4944, 6235, 84316, 63532, 1285, 7972, 22426, 5666, 292, 6, 101328, 4, 182261, 119055, 29060, 7508, 120467, 45223, 150020, 163139, 1470, 3069, 8903, 1982, 88917, 114436, 46654, 218241, 5666, 3069, 64567, 120202, 8903, 21066, 93449, 5, 6, 64991, 5, 2808, 35189, 9934, 75230, 6093, 6093, 11211, 17017, 37826, 6235, 98055, 2882, 7265, 1470, 6681, 84316, 63532, 5666, 117902, 23269, 2865, 37640, 100863, 21660, 18415, 45521, 119718, 2442, 14081, 18415, 2932, 5, 6, 5, 35189, 166464, 3056, 6235, 159696, 5666, 34076, 29259, 4944, 154739, 46545, 5, 4151, 6, 113889, 216510, 151614, 162642, 29771, 13497, 37826, 30473, 4944, 132025, 8903, 97634, 5666, 22639, 1470, 564, 141356, 125897, 45521, 50853, 86733, 4944, 14081, 26632, 4, 6681, 2932, 120467, 5666, 22753, 4944, 7265, 195054, 29771, 3131, 114436, 119055, 2808, 22426, 23269, 5, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11211, 17017, 3056, 42493, 6319, 54260, 5666, 11211, 17017, 4, 1285, 7369, 2648, 2205, 42493, 4484, 54260, 5666, 7369, 2648, 5, 2702, 39083, 3149, 26632, 5666, 151614, 1982, 5666, 6235, 3111, 10069, 29060, 9356, 1285, 620, 13159, 6093, 37640, 5666, 68889, 2865, 26632, 5666, 4, 9356, 1285, 137377, 8903, 119718, 29766, 7201, 65482, 16175, 9221, 28726, 4944, 6, 105780, 1285, 657, 29766, 905, 148346, 46985, 16803, 16667, 5, 14856, 37826, 22753, 4944, 6235, 84316, 56169, 2190, 5666, 6235, 4852, 15435, 21295, 4, 6235, 4852, 15435, 21295, 2190, 5666, 6235, 58679, 56169, 12, 2451, 22639, 4151, 41764, 46646, 54698, 16803, 159696, 4269, 64260, 2702, 15864, 2865, 43178, 4, 4151, 23050, 4484, 54260, 159696, 4, 4151, 68891, 5, 2451, 9213, 4944, 119055, 39083, 2882, 4269, 64260, 5950, 54260, 5666, 1470, 145813, 29259, 6235, 97634, 5666, 1470, 18640, 9934, 29259, 2932, 1470, 54260, 2442, 13845, 5666, 204403, 23269, 2865, 5, 2808, 6, 56914, 59919, 145813, 29259, 7265, 1470, 1751, 80453, 31623, 9356, 21847, 54260, 2882, 1285, 119055, 6093, 16932, 5, 2451, 22639, 17824, 88680, 17190, 1982, 16870, 125897, 3056, 6, 90848, 15949, 216333, 163139, 22639, 17824, 88680, 16175, 75230, 18415, 6, 5, 292, 95455, 37826, 6235, 225975, 2882, 3496, 119718, 9221, 24295, 4, 4151, 4269, 88680, 4, 4151, 15857, 109600, 6093, 41764, 75230, 93497, 119718, 9221, 24295, 5, 7369, 2205, 3069, 8903, 185337, 43178, 3069, 2865, 7508, 23174, 37640, 5666, 68889, 2865, 26632, 50856, 142429, 4, 22753, 4944, 6, 190135, 7265, 4151, 162726, 54260, 26394, 3069, 107020, 2190, 5666, 22753, 4944, 6235, 126700, 5666, 9424, 119718, 13456, 50856, 710, 657, 137377, 29060, 4484, 13159, 5, 2808, 14856, 1982, 29259, 4113, 38, 163139, 9213, 1982, 119055, 39083, 2882, 22639, 1470, 564, 29766, 6235, 159696, 5666, 5, 2808, 115556, 192183, 22753, 4944, 160238, 105235, 1644, 5666, 6150, 75230, 16667, 4, 199145, 3056, 220273, 22639, 4151, 159696, 21295, 42493, 29771, 5, 2451, 32611, 4151, 6, 159696, 21295, 2205, 5950, 8300, 6681, 112711, 4, 133190, 42493, 6681, 2190, 50856, 1211, 4, 163139, 1644, 20315, 27, 2451, 874, 54260, 16667, 2882, 4, 6150, 119055, 29259, 16932, 119055, 29060, 1470, 75230, 1982, 6150, 75230, 9934, 29259, 5666, 32, 2451, 14856, 37826, 74806, 189098, 5666, 40653, 1285, 6681, 2932, 25207, 1982, 18415, 364, 41595, 16667, 4, 14856, 10498, 29259, 16803, 10705, 5666, 14856, 119055, 29060, 27, 6, 125830, 84316, 22426, 4484, 43178, 37826, 178748, 42493, 6235, 212484, 5666, 6, 188301, 5666, 5, 14856, 37826, 22753, 4944, 32611, 107020, 8903, 119718, 29766, 150020, 37640, 5666, 51963, 9934, 29259, 2882, 5666, 27321, 2451, 6681, 28714, 1982, 6428, 29259, 5666, 41764, 710, 95564, 4, 22444, 364, 106559, 1470, 54260, 59461, 38, 2451, 20033, 5666, 124724, 17190, 75578, 123329, 506, 54260, 2882, 1285, 6235, 35189, 52480, 19532, 75230, 49268, 29259, 2702, 5666, 38, 2451, 223779, 2442, 28726, 75290, 38, 5, 5, 2451, 170479, 7369, 95455, 40653, 4852, 29771, 4113, 4, 292, 37826, 22753, 4944, 1470, 75230, 2702, 8903, 21847, 29259, 40920, 3373, 119718, 9221, 24295, 4, 292, 6, 5, 14004, 4944, 119055, 13845, 1470, 15907, 163139, 1470, 6, 48253, 119718, 218241, 1470, 18640, 4151, 7369, 2648, 19532, 29259, 20260, 17410, 22426, 5666, 5, 13159, 151614, 1982 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5666, 22753, 4944, 6235, 25207, 98833, 6, 89930, 54260, 8300, 18415, 3496, 29259, 13159, 5, 9424, 54260, 59461, 151614, 1982, 5666, 6235, 84316, 56169, 4, 10705, 5666, 8947, 151614, 1982, 5666, 22753, 1982, 6235, 203326, 2932, 6681, 3131, 153222, 24621, 18415, 3944, 22426, 5666, 5, 131002, 710, 22426, 39340, 6, 5, 2205, 6235, 4852, 13159, 5666, 4, 163139, 1470, 6, 51172, 168155, 7265, 44458, 40653, 8903, 3131, 203749, 65482, 2865, 25616, 54260, 8300, 5, 9934, 29259, 5666, 6319, 137377, 37826, 7369, 19532, 29259, 2932, 21660, 75230, 2932, 5666, 22639, 34654, 6, 162785, 1644, 43178, 4, 163139, 1470, 364, 54260, 2865, 212484, 6093, 364, 106559, 21422, 2882, 19532, 29259, 5666, 9424, 119718, 13456, 5666, 1285, 6, 131445, 9934, 29259, 5666, 6, 37016, 5, 2181, 151614, 1982, 2932, 133190, 74806, 174410, 8300, 65848, 19024, 25207, 3373, 50931, 13159, 194885, 5, 11556, 107581, 3056, 6235, 159696, 1982, 7508, 6093, 1470, 54260, 57619, 123329, 4, 199145, 37826, 2190, 111137, 506, 158291, 5666, 6, 204932, 39083, 2648, 26632, 5666, 12, 2451, 7369, 119055, 29060, 95455, 28415, 42493, 6, 225975, 5666, 4, 292, 37826, 7369, 6235, 22426, 3131, 29766, 29060, 5, 5, 2451, 170479, 7369, 42493, 874, 54260, 23269, 5666, 4, 6150, 364, 29259, 13497, 3056, 4, 49920, 45521, 29025, 13497, 6093, 4231, 29766, 5, 7265, 22426, 26632, 2442, 98071, 64260, 15533, 2865, 119055, 29060, 7369, 6319, 54260, 23269, 2865, 42493, 23050, 2865, 43178, 4, 42493, 130170, 4484, 75230, 150020, 5, 27, 221067, 70598, 112711, 2205, 6235, 4852, 13159, 5666, 19532, 75230, 2702, 61397, 905, 20911, 54745, 2865, 52, 4484, 137377, 37640, 5666, 1751, 34365, 2932, 90848, 1982, 5666, 4, 30473, 4944, 3069, 8903, 506, 77188, 3069, 1285, 6235, 10069, 4944, 18415, 7508, 54260, 2442, 37640, 5666, 1285, 3373, 39083, 2648, 26632, 5666, 2190, 5666, 37826, 22753, 4944, 2932, 15907, 19532, 29259, 5666, 8903, 9719, 29659, 5, 7369, 37826, 133190, 6235, 210674, 12, 137, 10069, 22492, 144754, 2205, 6681, 112711, 4, 2808, 54260, 37640, 20260, 4, 292, 44458, 8947, 119055, 29060, 9934, 29259, 2932, 1470, 22518, 37016, 192956, 2442, 2190, 22680, 29259, 2702, 155, 27, 80453, 7682, 64260, 5, 3056, 6, 4, 6235, 29659, 112711, 43178, 9356, 4151, 17806, 109636, 45521, 38054, 40697, 874, 34533, 2190, 2932, 37826, 238197, 7265, 3373, 88660, 1982, 109316, 119718, 5666, 5, 15, 10069, 45521, 38054, 40697, 874, 34533, 3056, 6235, 159696, 5666, 3069, 8903, 23847, 54260, 2882, 13342, 2865, 130170, 10918, 50856, 5666, 22753, 4, 1470, 75230, 1982, 4151, 6428, 29259, 48253, 119055, 29060, 6, 212484, 5666, 4269, 54595, 5666, 194, 2451, 199145, 119055, 29060, 9356, 50853, 74806, 43178, 4, 199145, 119055, 29060, 9356, 50853, 74806, 43178, 32, 26217, 16932, 28714, 5666, 37826, 7265, 14779, 29025, 21733, 2808, 22426, 161829, 6235, 119718, 101503, 32611, 6235, 36326, 161829, 5666, 4, 29771, 75578, 22639, 223779, 7201, 171433, 37826, 7265, 1470, 22444, 98071, 4484, 5666, 16175, 171433, 40653, 8903, 8903, 1982, 5666, 73095, 48974, 54260, 4113, 119718, 12, 2451, 6, 113889, 30741, 40026, 49597, 6093, 103023, 5666, 21422, 17410, 29259, 5666, 105235, 1644, 7265, 17824, 182759, 2882, 5666, 4, 1470, 7508, 54260, 44917, 200117, 19532, 54260, 5, 26217, 16932, 28714, 5666, 37826, 40653, 8903, 8903 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6235, 119718, 10705, 16803, 4, 7369, 37826, 20033, 6235, 119718, 39083, 2882, 193178, 4838, 40653, 48775, 3131, 17310, 5, 1470, 75230, 4, 50180, 119718, 14004, 119055, 39083, 2882, 7369, 8947, 42493, 6235, 80264, 711, 292, 40611, 65307, 4, 23173, 14088, 9424, 159696, 108968, 4838, 220224, 59461, 6, 148346, 54260, 97634, 2932, 4, 6255, 22753, 7611, 20033, 2205, 874, 54260, 1211, 6, 78683, 148346, 71512, 2882, 92500, 3373, 87311, 39340, 20033, 874, 54260, 23269, 3944, 148346, 164461, 49268, 92605, 13159, 292, 1285, 6, 70129, 448, 151614, 148346, 1211, 2205, 13159, 10918, 46685, 6235, 8903, 46053, 17806, 21847, 292, 162726, 34365, 448, 4, 1470, 75230, 101251, 21847, 7682, 38, 292, 162726, 34365, 448, 6, 73381, 13497, 4852, 18167, 1285, 16175, 9221, 2200, 4151, 25093, 31467, 710, 132025, 8903, 85744, 2205, 6, 238144, 36419, 6, 148346, 2932, 10069, 65307, 4, 7265, 20315, 2050, 167048, 54260, 17017, 7265, 10676, 6, 238144, 46053, 119055, 102562, 230764, 10676, 6319, 137377, 4, 107776, 6, 23173, 54260, 1211, 4, 92500, 70845, 165284, 22426, 1211, 7746, 125523, 4838, 3373, 4667, 118439, 448, 152, 72577, 1751, 148346, 609, 38, 49920, 81444, 20911, 29766, 38, 26217, 2882, 1751, 148346, 609, 7508, 26, 153, 38, 56170, 105780, 82576, 2882, 6, 148346, 8580, 6255, 6235, 119718, 29766, 1211, 2451, 26612, 7508, 92605, 43649, 87442, 95766, 874, 75230, 1644, 4, 2200, 230764, 10676, 223779, 2442, 3944, 15388, 1285, 9213, 148346, 6093, 125897, 292, 6255, 6319, 68558, 4852, 54260, 6, 99611, 6, 148346, 26612, 234221, 4, 3496, 64260, 3131, 33718, 124724, 4838, 6, 104038, 6, 68558, 711, 58571, 7611, 4, 8947, 37826, 61107, 2932, 29766, 7511, 2882, 6235, 159696, 33716, 2200, 6255, 151614, 148346, 56170, 17824, 75230, 2702, 41764, 3149, 2648, 2200, 6, 147185, 6235, 119718, 39083, 2882, 4944, 64260, 3131, 6, 23173, 137377, 31249, 710, 183216, 199145, 6255, 151614, 148346, 2205, 874, 75230, 1644, 23050, 506, 40096, 4, 2200, 4151, 48775, 4484, 3056, 20033, 6235, 148346, 7972, 148346, 1211, 43649, 54260, 1211, 2205, 364, 21106, 4852, 5, 8947, 37826, 205026, 132025, 8903, 506, 75230, 148346, 1211, 29659, 23173, 4484, 3069, 119055, 6093, 15388, 4, 1285, 1470, 75230, 15388, 21923, 20033, 114564, 6, 23173, 75230, 2702, 37640, 66293, 6319, 137377, 5, 8947, 95766, 6235, 119718, 29766, 1211, 4838, 17824, 75230, 2702, 6235, 22426, 15350, 35189, 5, 4838, 3373, 4667, 115374, 21923, 7746, 3069, 5666, 75230, 111137, 1644, 29771, 33225, 230764, 874, 54260, 1211, 6, 148346, 54260, 4852, 119718, 10705, 83182, 4, 6, 104149, 4, 163139, 4151, 80839, 46685, 81444, 20911, 29766, 119718, 23173, 13497, 7746, 7265, 4838, 7508, 92605, 5, 4151, 25093, 31467, 710, 37826, 1751, 75230, 1211, 6, 68380, 56170, 3131, 57277, 49008, 4, 36324, 168892, 119055, 13845, 1751, 75230, 1211, 3069, 70845, 28415, 6319, 54260, 1211, 30109, 48904, 39340, 6, 189098, 41764, 10069, 15050, 42493, 1751, 133671, 4, 6093, 37826, 6235, 104149, 4, 36324, 6255, 6, 37016, 205026, 6, 148346, 21106, 2648, 2200, 119055, 13845, 1751, 75230, 1211, 28415, 6319, 54260, 1211, 228151, 42493, 6, 94741, 159696, 49008, 2200, 6319, 54260, 1211, 7508, 92605, 13159, 42493, 8947, 1211, 4, 37826, 7369, 7746, 874, 29259, 3131, 148346, 8903, 159696, 56880, 2200, 37826, 133190, 10676, 63259, 13159 ]

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

[ 9213, 148346, 6093, 8903, 75290, 2882, 12, 6, 148346, 2808, 25391, 7369, 37826, 94626, 26, 2442, 23050, 119718, 10705, 16803, 4, 36324, 6255, 6, 148346, 8580, 1470, 54260, 1211, 6, 71577, 710, 195088, 4, 4838, 6, 172060, 36326, 9616, 4, 23822, 54260, 50097, 92605, 4, 2200, 37826, 1751, 75230, 1211, 6, 71804, 23405, 6235, 119718, 39083, 2882, 874, 54260, 1211, 6, 184855, 22529, 874, 138763, 4852, 54260, 1211, 4151, 4269, 48904, 89930, 6, 159696, 21295, 4, 133190, 8947, 70845, 1751, 159696, 2442, 6235, 159696, 56880, 205026, 6, 148346, 54260, 3131, 27105, 3131, 46545, 3069, 4151, 2882, 71577, 1211, 4, 119055, 29766, 46598, 1285, 15857, 96256, 90761, 2808, 4, 6, 31177, 2865, 22492, 3944, 34709, 1211, 4, 506, 64260, 8947, 20033, 10676, 83031, 1470, 54260, 23405, 65482, 148346, 1211, 4, 6255, 170479, 1751, 133671, 30109, 48904, 39340, 73784, 2442, 148346, 8580, 230764, 41764, 10069, 15050, 4, 2200, 4151, 110573, 15662, 37826, 230764, 20033, 32661, 8580, 6235, 159696, 56880, 4, 165592, 14856, 37826, 205026, 42493, 241997, 3496, 71577, 1211, 4, 119055, 12483, 6255, 45495, 1470, 54260, 1211, 68324, 506, 2200, 13159, 4151, 6, 159696, 21295, 874, 138763, 220224, 1211, 38, 133190, 2205, 10676, 1751, 148346, 609, 37826, 18225, 70845, 44855, 506, 3131, 112907, 6, 148346, 36326, 609, 10498, 5927, 174798, 506, 6235, 75230, 56880, 10676, 41764, 2702, 43082, 137, 850, 31467, 2808, 10813, 5927, 506, 6093, 850, 17297, 58758, 155, 15, 148346, 110703, 2754, 874, 155, 2808, 4231, 155, 2882, 247, 37826, 7369, 6, 124470, 710, 171665, 6293, 56170, 3131, 57277, 49008, 4, 36324, 95455, 874, 54260, 16667, 18225, 205026, 152, 364, 80453, 850, 3056, 3120, 6, 106672, 137, 905, 80453, 4113, 689, 110703, 145534, 506, 2004, 1054, 124470, 2808, 10813, 5927, 364, 80453, 850, 17297, 58758, 3056, 16175, 54260, 48253, 12, 119055, 6093, 8947, 4269, 54260, 2882, 144754, 364, 75230, 67873, 6319, 137377, 4, 6, 68558, 4838, 11211, 21338, 4, 4151, 6, 119273, 7508, 92605, 13159, 5, 7544, 17410, 874, 54260, 13497, 81444, 4667, 9719, 4667, 2819, 119055, 29766, 46598, 4838, 81444, 13805, 29766, 4269, 54260, 2882, 81444, 4667, 6, 68558, 4838, 11211, 21338, 292, 58571, 7611, 4, 7369, 3056, 13342, 20033, 6, 195054, 29771, 33225, 7265, 76961, 118439, 448, 2200, 37826, 205026, 4151, 2882, 71577, 2882, 5, 292, 168892, 163139, 1644, 124724, 6, 99611, 84087, 118222, 18167, 220224, 1211, 4, 6255, 6, 148346, 8580, 74806, 205416, 148346, 1211, 4, 24621, 37826, 205026, 6, 148346, 26612, 2932, 90848, 18406, 292, 42493, 6, 148346, 171665, 61722, 34671, 95766, 43649, 64260, 3056, 6235, 119718, 29766, 1211, 4838, 3944, 23173, 46598, 12, 215594, 4, 199145, 364, 54260, 16803, 212632, 9174, 97728, 2200, 10507, 15050, 15, 2865, 54260, 23269, 24377, 22492, 448, 170479, 1211, 9213, 148346, 6093, 104378, 230764, 10069, 9174, 97728, 2200, 10507, 15050, 4, 199145, 6255, 151614, 148346, 241997, 2289, 14856, 42542, 15, 148346, 41731, 51172, 16, 7511, 2882, 220224, 1211, 6319, 54260, 1211, 6, 54260, 2648, 4, 36324, 14856, 17190, 189583, 5332, 22426, 13159, 4838, 83182, 3131, 133880, 4151, 364, 54260, 304, 3117, 1644, 123329, 6, 124470, 26659, 711, 3523, 54260, 1211, 38, 3523, 54260, 1211, 711, 14856, 6, 205416, 42493, 6, 23173, 54260 ]

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

[ 20260, 905, 38249, 2205, 1285, 6, 148346, 710, 4944, 44779, 38, 292, 1470, 15907, 192956, 2442, 10339, 64260, 6093, 15, 21733, 29771, 46685, 3131, 2702, 16, 37826, 6235, 46464, 40920, 4, 1470, 75230, 148346, 220224, 1211, 119312, 37826, 42493, 5332, 22426, 13159, 12023, 4944, 44779, 5, 199145, 14856, 37826, 6235, 17268, 49008, 4, 37826, 18225, 89930, 21292, 1211, 2200, 56170, 148346, 2442, 35596, 4, 14856, 37826, 1470, 75230, 2702, 59461, 75230, 112907, 119055, 10705, 8947, 3056, 7369, 8903, 7611, 8903, 159696, 56880, 4838, 6, 94790, 8632, 81860, 1644, 5, 4151, 25093, 31467, 710, 37826, 95455, 4231, 29766, 4838, 81860, 6235, 13982, 905, 20911, 4, 119718, 120467, 29434, 710, 49008, 21923, 74806, 57277, 49008, 4838, 3373, 4667, 6, 124470, 14303, 850, 36324, 75230, 163139, 1285, 3120, 137, 850, 31467, 2808, 10813, 5927, 506, 80453, 850, 17297, 58758, 2004, 1470, 15907, 192956, 2442, 6, 54260, 2648, 37826, 220224, 1211, 27513, 6235, 4484, 75230, 23741, 2200, 14856, 506, 64260, 95455, 132025, 8903, 506, 75230, 148346, 1211, 74806, 2865, 92605, 3069, 212632, 5, 6, 68558, 20033, 37826, 18225, 6, 148346, 21106, 2648, 7201, 23173, 8903, 46053, 4, 133190, 10676, 101497, 36864, 1644, 4, 36324, 76961, 6, 54260, 35465, 3523, 54260, 12483, 230764, 10676, 45742, 111215, 4, 3056, 874, 54260, 1211, 6, 228605, 6235, 159696, 56880, 3523, 59929, 3120, 145813, 29259, 91595, 2702, 4, 199145, 1470, 15907, 192956, 2442, 4, 119055, 13845, 104238, 3056, 874, 54260, 1211, 6, 228605, 56170, 148346, 54260, 8903, 240863, 12483, 4, 37826, 230764, 70845, 4838, 3131, 22426, 54260, 6235, 80264, 5, 119718, 710, 14856, 364, 59929, 20033, 133190, 6, 148346, 26612, 2932, 90848, 148346, 1211, 4, 37826, 7746, 6, 124470, 710, 171665, 6293, 4151, 41545, 4667, 86270, 3069, 20033, 6235, 137218, 159696, 2882, 5, 6255, 151614, 148346, 205026, 220224, 6093, 4151, 25391, 218241, 1211, 4, 7369, 170479, 99611, 4151, 104149, 10676, 7508, 92605, 4, 199145, 37826, 125523, 6235, 105235, 20911, 6, 148346, 54260, 20033, 2205, 506, 21106, 4852, 5, 7369, 37826, 205026, 4838, 129165, 2932, 23050, 85744, 12, 2007, 10498, 4667, 705, 163139, 364, 54260, 126934, 4, 6428, 54260, 48253, 144754, 657, 109226, 705, 6255, 151614, 148346, 70845, 42493, 23050, 39340, 16667, 6, 35596, 59919, 1211, 2200, 6, 148346, 8580, 6235, 8300, 119718, 2808, 109226, 70845, 3069, 6, 238144, 56880, 230764, 874, 54260, 1211, 364, 21106, 4852, 4, 163139, 1470, 54260, 59461, 105884, 2882, 152, 8947, 119718, 23173, 13497, 205026, 4, 6255, 42542, 42493, 220264, 5, 7369, 37826, 20033, 4151, 71804, 23405, 2882, 7265, 20315, 2050, 52059, 7682, 2205, 6, 78683, 24152, 6, 23173, 54260, 1211, 4, 3056, 4151, 7508, 92605, 6, 23173, 75230, 2702, 37603, 364, 21106, 4852, 2200, 92500, 4151, 41545, 4667, 86270, 37826, 7746, 1751, 57277, 24152, 6, 26394, 71804, 40920, 5, 6255, 151614, 148346, 4151, 46590, 2882, 4, 36324, 8947, 3056, 20033, 6, 148346, 13159, 6093, 6235, 119718, 29766, 1211, 2200, 6255, 42542, 1751, 75230, 1211, 163139, 35189, 220264, 4, 151614, 148346, 6, 5, 6255, 205026, 220273, 18895, 5594, 6235, 159696, 56880, 2200, 151614, 148346, 56170, 172033, 506, 48350, 506, 6235, 506, 40096, 10676, 41545, 4667, 86270, 9424, 4852, 129165, 15388, 199145, 7369, 6, 71804, 40920, 5, 137 ]

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

[ 168892, 71804, 4667, 4, 6, 225975, 2882, 7369, 3069, 20033, 4, 163139, 6428, 54260, 1211, 3373, 7511, 40505, 15, 17017, 45631, 9183, 25391, 247, 199145, 37826, 10069, 4667, 6235, 119718, 39083, 2882, 120202, 2442, 174121, 159696, 1211, 4, 3056, 6, 21106, 54260, 1211, 6235, 159696, 56880, 1285, 15857, 148346, 506, 4, 199145, 18133, 148346, 34533, 74806, 205416, 148346, 1211, 56170, 4151, 9424, 54260, 2882, 5, 1285, 6, 104038, 3056, 36324, 75230, 6235, 159696, 56880, 148346, 36326, 609, 18133, 151614, 16803, 40611, 1751, 148346, 609, 6235, 8903, 46053, 1285, 7508, 92605, 13159, 4, 3056, 4151, 105250, 17171, 2442, 132, 35189, 41545, 4667, 4, 199145, 874, 152650, 76961, 6, 90090, 850, 16, 6, 130991, 73784, 6, 148346, 2754, 122623, 31249, 98683, 7265, 4838, 17824, 75230, 2702, 6235, 22426, 15350, 35189, 5, 20033, 151614, 148346, 1211, 364, 54260, 13497, 4838, 6, 140229, 104985, 4838, 17824, 75230, 46053, 7201, 208048, 46545, 6093, 5, 7369, 37826, 132025, 8903, 506, 75230, 148346, 1211, 3069, 3944, 23173, 4113, 51723, 152, 6235, 119718, 21106, 2648, 711, 3056, 2648, 120467, 221387, 6235, 119718, 29766, 1211, 4, 36324, 4838, 6, 54260, 2648, 170479, 8947, 1211, 7508, 92605, 13159, 4, 2200, 125523, 40611, 132537, 3131, 148346, 609, 52620, 3131, 6, 4730, 292, 4151, 3373, 7511, 40505, 4, 199145, 3056, 4838, 1751, 46545, 1470, 75230, 111137, 21733, 6093, 16932, 4, 506, 64260, 132025, 8903, 506, 75230, 148346, 1211, 3069, 6, 134727, 1211, 12, 199145, 67882, 40920, 18225, 81444, 4151, 69355, 215031, 85858, 4, 119718, 120467, 3056, 95455, 6235, 22426, 15350, 35189, 705, 8947, 21923, 81444, 17824, 13159, 123073, 6, 90090, 850, 2200, 51723, 1751, 238144, 98833, 711, 76961, 16175, 65689, 21923, 56170, 119718, 29766, 33225, 7265, 1285, 13845, 13159, 3120, 4269, 91275, 448, 4, 1982, 40096, 2442, 161459, 4, 9424, 18279, 37016, 13159, 4, 199145, 6, 76776, 61621, 120202, 1285, 4269, 48904, 26394, 6, 159696, 21295, 4, 7265, 10339, 21106, 186479, 905, 74813, 54260, 2882, 4, 2200, 110573, 86270, 36324, 13845, 107581, 6, 90090, 850, 4, 37826, 18225, 28415, 42493, 3069, 80264, 133190, 3069, 18906, 22426, 28320, 4838, 81444, 20911, 29766, 4, 199145, 37826, 6235, 8903, 46053, 7508, 92605, 13159, 705, 292, 68313, 54745, 1211, 7243, 29771, 4838, 3373, 4667, 4, 199145, 21923, 42493, 6319, 54260, 1211, 81444, 20911, 75230, 16847, 4, 199145, 56170, 4852, 54260, 6093, 6, 90848, 28726, 4, 199145, 220224, 6428, 23173, 33225, 46440, 1211, 2205, 4151, 6, 159696, 75386, 4, 112216, 16803, 8947, 57277, 39340, 220273, 6, 148346, 60732, 185527, 42493, 46711, 21527, 3069, 8947, 1211, 4, 2200, 220224, 8947, 1211, 6428, 119718, 46985, 25391, 21527, 2200, 6, 148346, 26612, 234221, 7746, 4838, 46590, 905, 42493, 4, 7544, 17410, 199145, 4852, 36326, 163139, 1644, 18225, 17268, 66293, 81444, 20911, 29766, 151614, 148346, 1211, 32, 7369, 37826, 3944, 148346, 7508, 92605, 13159, 292, 4838, 1751, 54260, 23269, 110573, 80453, 506, 4, 212484, 7369, 7746, 7265, 220224, 119055, 23173, 12483, 711, 292, 4151, 3373, 7511, 104985, 37826, 6235, 119718, 39083, 2882, 1285, 4667, 103854, 10676, 7508, 174121, 159696, 1211, 2200, 37826, 6235, 2865, 54260, 13497, 6428, 54260, 1211, 61842, 4, 73784, 101251, 21847, 44376, 64260, 7369, 1285, 141879, 119055, 6093, 16932, 137 ]

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

[ 212484, 7369, 7746, 7265, 220224, 119055, 23173, 12483, 155, 1470, 75230, 2702, 238197, 2205, 215031, 97816, 4, 36324, 220224, 21923, 3120, 220224, 1211, 874, 75230, 1644, 2205, 4269, 64260, 96743, 75230, 53414, 6, 23173, 54260, 1211, 4, 2200, 6, 57277, 39340, 6, 124470, 710, 171665, 6293, 6, 148346, 34533, 905, 4151, 119718, 29766, 15388, 6235, 119718, 29766, 1211, 5, 155, 292, 168892, 151614, 148346, 20033, 6235, 2702, 48775, 40920, 4, 163139, 4151, 41545, 4667, 86270, 37826, 120202, 238197, 12, 44693, 2808, 74806, 205416, 148346, 1211, 6, 148346, 8580, 6255, 81444, 4667, 1751, 75230, 1211, 4, 95455, 3056, 1751, 75230, 1211, 56170, 7201, 21106, 1211, 4, 29771, 148346, 6093, 6, 75230, 6255, 55242, 4, 119055, 29060, 18225, 205026, 56170, 1285, 7508, 92605, 13159, 42493, 115222, 22426, 1211, 74, 36324, 2648, 29771, 3056, 81444, 4838, 3373, 7511, 40505, 215031, 72577, 6093, 6, 148346, 15529, 35189, 4, 151614, 148346, 6255, 6319, 54260, 1211, 6, 28317, 32829, 2882, 3069, 151614, 148346, 1211, 5, 35189, 41545, 4667, 86270, 37826, 7746, 4838, 6, 148346, 710, 35044, 120202, 8903, 127583, 4, 6, 105515, 7369, 205026, 238144, 16932, 4838, 129165, 5666, 152, 2451, 85858, 124470, 6, 148346, 29771, 2865, 15703, 705, 151614, 126934, 4, 6, 148346, 15529, 35189, 4, 7369, 44779, 6235, 506, 183512, 21295, 2808, 75230, 6293, 4151, 6, 159696, 21295, 705, 2451, 6235, 506, 183512, 21295, 32, 6, 225975, 6255, 4, 163139, 107776, 3069, 20033, 364, 183512, 1644, 12483, 4, 6, 238144, 126934, 54745, 1211, 6, 99611, 4, 36324, 6255, 6, 148346, 8580, 6235, 159696, 56880, 4838, 81444, 20911, 29766, 32, 2451, 6, 101328, 4, 4838, 81444, 20911, 29766, 4, 6, 225975, 2882, 4151, 41545, 4667, 86270, 4, 123736, 148346, 6093, 37640, 16747, 119273, 159696, 15388, 151614, 126934, 81444, 4667, 6235, 506, 183512, 21295, 12, 151614, 16803, 6235, 506, 183512, 21295, 7265, 4151, 6, 71577, 2882, 54260, 46985, 2884, 151614, 16803, 74806, 12415, 148346, 1211, 16175, 54260, 123073, 21776, 26394, 22426, 28320, 4, 2200, 4151, 6, 71577, 2882, 54260, 75290, 37826, 79761, 4151, 7201, 23173, 6235, 8300, 39083, 2882, 101497, 8903, 21295, 74, 151614, 16803, 6235, 506, 183512, 21295, 7265, 1285, 304, 3742, 70129, 448, 4, 151614, 16803, 6235, 506, 54260, 46053, 6, 128540, 6, 59929, 4667, 41764, 137218, 119718, 4484, 13159, 2200, 151614, 16803, 6, 148346, 54260, 4852, 54260, 6, 139449, 20585, 5, 151614, 16803, 6235, 506, 183512, 21295, 7265, 10676, 25093, 31467, 8580, 4, 151614, 16803, 74806, 93449, 3069, 70845, 41764, 10069, 15050, 2200, 7369, 3069, 124724, 125523, 21776, 26394, 22426, 28320, 5, 151614, 16803, 6235, 506, 183512, 75386, 7265, 6, 228151, 94741, 159696, 49008, 4, 7265, 223779, 2442, 6, 26394, 148346, 25207, 12984, 4, 7265, 1751, 148346, 609, 3069, 64991, 4269, 54260, 1211, 4, 76961, 2702, 364, 54260, 16803, 6235, 506, 183512, 21295, 74, 2200, 18133, 151614, 16803, 10339, 21106, 3131, 6235, 506, 183512, 21295, 4, 4852, 54260, 6093, 10339, 21106, 3131, 4, 6, 64260, 95455, 3056, 125523, 7369, 61397, 3120, 7508, 92605, 13159, 4, 6428, 23173, 75230, 6293, 42542, 35189, 3373, 7511, 40505, 1470, 75230, 4667, 6319, 54260, 1211, 157511, 6, 99611, 6235, 7916, 49008, 4, 2200, 4151, 119718, 29766, 15388, 119055, 53414, 68313 ]

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

[ 1470, 75230, 4667, 6, 78683, 48974, 5, 55242, 126934, 10676, 6, 148346, 2754, 111215, 4838, 68550, 124724, 32, 4838, 16175, 54260, 1644, 6658, 448, 4, 21733, 54260, 1211, 2200, 17824, 75230, 2702, 4, 4231, 17310, 2200, 4838, 75386, 4, 21923, 110573, 107182, 3120, 6428, 54260, 23269, 21776, 26394, 22426, 28320, 8903, 29659, 29766, 148346, 1211, 5, 4838, 16175, 54260, 1644, 3120, 220224, 119055, 39083, 28320, 4151, 6, 159696, 75386, 1751, 57277, 24152, 3069, 7511, 7611, 6, 130991, 5, 18133, 6, 148346, 34533, 6235, 159696, 56880, 220224, 6093, 41545, 4667, 2939, 119718, 609, 4, 2200, 4151, 13342, 6, 148346, 34533, 905, 113889, 4667, 6235, 159696, 56880, 4838, 9424, 18279, 37016, 4, 4838, 10339, 21106, 86733, 4, 4838, 56170, 105235, 44478, 292, 95455, 119055, 29060, 79761, 6, 99611, 74806, 135118, 2882, 119055, 53414, 292, 6428, 54260, 1211, 41764, 95564, 3056, 12, 125523, 10676, 163139, 6255, 119055, 13845, 79761, 4838, 6, 148346, 710, 35044, 190800, 3131, 2865, 54260, 46053, 4, 170479, 126934, 874, 39478, 21847, 119055, 53414, 6, 57277, 39340, 2205, 4838, 41764, 137218, 119718, 39340, 4, 6, 238144, 1644, 7265, 41764, 137218, 119718, 4484, 13159, 10339, 147713, 126934, 3069, 58571, 52541, 2200, 2190, 112304, 34533, 6, 148346, 137119, 8300, 71577, 1211, 4, 110573, 10069, 1285, 4667, 2200, 6428, 54260, 23269, 6, 70129, 448, 7508, 54260, 4667, 3069, 193178, 5, 113889, 4667, 1285, 119055, 6093, 16932, 37826, 7369, 205026, 132025, 8903, 506, 75230, 148346, 1211, 3069, 19302, 71577, 1211, 9213, 148346, 6093, 76961, 4852, 54260, 28320, 5, 36324, 7369, 37826, 20033, 1751, 75230, 1211, 37189, 2702, 76961, 6, 148346, 54260, 59461, 6, 26394, 148346, 90848, 12984, 4, 364, 120467, 7369, 205026, 8903, 4944, 71577, 2882, 6, 148346, 54260, 1285, 6, 131445, 2200, 4838, 119055, 29766, 6293, 6235, 80264, 2205, 1751, 54260, 1211, 6, 23173, 54260, 1211, 4, 2200, 2205, 20315, 2050, 2190, 43178, 148346, 105330, 6, 148346, 8580, 16742, 6235, 905, 29766, 1211, 4838, 41764, 137218, 905, 39340, 5, 304, 2357, 26612, 41764, 137218, 119718, 39340, 13159, 37826, 123736, 148346, 6093, 220273, 7511, 2882, 6235, 2648, 75230, 77188, 4, 6, 57277, 39340, 10676, 1470, 54260, 8903, 119132, 90848, 2932, 3056, 874, 54260, 1211, 6, 70129, 6235, 240863, 12483, 41764, 137218, 119718, 4484, 13159, 3496, 71577, 1211, 4, 2200, 6, 148346, 21106, 2648, 7501, 168892, 70845, 6, 130991, 2205, 1285, 364, 35596, 6, 23173, 54260, 1211, 5, 7369, 37826, 205026, 7265, 125523, 22426, 137218, 119718, 4484, 13159, 6, 23173, 54260, 5666, 8903, 212484, 2882, 2205, 4838, 60837, 29771, 710, 7265, 119055, 59929, 6093, 2200, 4838, 7511, 35189, 190135, 2205, 6, 95494, 55823, 5, 4484, 75230, 2050, 6, 148346, 8580, 6255, 6428, 99766, 6235, 159696, 56880, 4838, 6, 59919, 21338, 97816, 4, 3056, 18225, 6, 130991, 6, 225164, 10676, 6, 70129, 4, 10676, 25093, 31467, 8580, 41764, 137218, 119718, 4484, 13159, 6, 128540, 230764, 1285, 46685, 15435, 1211, 5, 37640, 66293, 25093, 31467, 100810, 110573, 61722, 6, 159696, 15388, 37826, 4151, 6, 70129, 6, 139449, 10676, 35044, 29771, 710, 7265, 1285, 32054, 40697, 41764, 137218, 119718, 4484, 13159, 4, 199145, 7369, 37826, 7369, 29659, 6235, 4944, 71577, 2882, 4, 92500, 3056, 6, 148346, 21106, 2648, 4838, 506 ]

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

[ 8580, 6235, 240863, 12483, 5, 6255, 6, 148346, 8580, 230764, 10676, 25093, 31467, 8580, 125523, 220224, 155, 6093, 6, 148346, 54260, 4852, 6235, 159696, 56880, 4, 199145, 37729, 70845, 3056, 20033, 4151, 7508, 92605, 6235, 148346, 7972, 148346, 1211, 29659, 54260, 1211, 2205, 364, 186955, 4, 151614, 148346, 6255, 205026, 37189, 2702, 3069, 8903, 4944, 71577, 2882, 2200, 151614, 148346, 220224, 1211, 148346, 137119, 74806, 2865, 92605, 23050, 4852, 75230, 15388, 36324, 75230, 6, 71804, 23405, 4, 6, 148346, 15533, 6255, 6, 148346, 8580, 4838, 90848, 111137, 7201, 21106, 1211, 16175, 75230, 2882, 5, 165592, 75230, 163139, 6255, 6, 148346, 8580, 6235, 22426, 25222, 32206, 3120, 4838, 23917, 3131, 148346, 178303, 506, 4, 3120, 10676, 2442, 148346, 100810, 28415, 15435, 1211, 4, 151614, 148346, 6255, 163139, 35189, 1470, 54260, 1211, 103648, 6235, 506, 40096, 2200, 6, 148346, 8580, 163139, 35189, 82679, 1644, 100863, 6235, 119718, 29766, 1211, 2205, 4838, 115374, 5, 133190, 6, 186145, 6293, 4, 2205, 199145, 56170, 26612, 115374, 4838, 41764, 137218, 119718, 39340, 42542, 874, 39478, 21847, 119055, 53414, 38, 6, 7961, 4838, 119718, 2648, 14004, 2205, 4838, 4269, 148346, 14004, 3120, 4151, 69512, 6319, 10069, 83957, 4, 151614, 148346, 6255, 9719, 4667, 132025, 8903, 225164, 4, 7369, 3056, 1470, 75230, 4667, 4838, 6, 148346, 167673, 8300, 71577, 6093, 5, 2451, 3523, 54260, 1211, 4, 22753, 13497, 1285, 3523, 83586, 4, 151614, 16803, 42493, 6235, 226112, 33225, 5, 2451, 6, 76776, 4, 6, 225975, 6255, 4, 65146, 220224, 1211, 2205, 4838, 3373, 148346, 29766, 29659, 3131, 7682, 4, 4838, 6, 15307, 139962, 14857, 4, 26612, 21776, 25616, 905, 28320, 4944, 71577, 6093, 4, 199145, 7508, 54260, 46053, 3120, 16175, 75230, 2882, 2200, 3120, 17190, 148346, 16870, 7682, 2200, 506, 29771, 148346, 1211, 230764, 6319, 54260, 119132, 6319, 54260, 1211, 6, 31177, 83811, 42493, 711, 2451, 3523, 54260, 1211, 711, 2932, 64260, 1644, 29766, 93497, 6235, 235210, 1644, 18415, 6, 159696, 24152, 4, 564, 183512, 534, 31592, 144025, 2451, 6, 113889, 4, 65146, 220224, 1211, 2205, 4838, 207737, 4, 199145, 7213, 16747, 2882, 120202, 1285, 364, 75230, 2882, 3120, 10069, 114955, 4, 199145, 212632, 6, 148346, 54260, 70845, 4, 4838, 119718, 94741, 710, 5, 6, 99611, 4838, 83182, 3131, 4, 18133, 6, 148346, 34533, 2865, 39478, 21847, 6235, 119718, 29766, 1211, 2205, 4838, 207737, 711, 2451, 3523, 54260, 1211, 711, 6, 225975, 2882, 1285, 3523, 83586, 5, 95455, 21923, 657, 75230, 16932, 6319, 148346, 8300, 12130, 4, 2205, 165592, 13845, 107581, 119055, 77188, 133190, 874, 39478, 21847, 215031, 33414, 96256, 4, 199145, 37826, 42493, 6319, 54260, 1211, 9934, 15949, 506, 8903, 506, 40096, 37729, 4838, 23917, 3131, 148346, 178303, 506, 1470, 54260, 1211, 103648, 3069, 151614, 148346, 1211, 292, 6255, 123736, 148346, 6093, 4, 119718, 120467, 151614, 148346, 4838, 9934, 15949, 506, 6235, 506, 40096, 3069, 9934, 75230, 15388, 6, 148346, 1644, 75230, 37640, 66293, 25093, 31467, 100810, 28415, 15435, 1211, 4, 6, 148346, 8580, 2865, 39478, 21847, 6235, 119718, 29766, 1211, 2205, 4838, 6, 23405, 15435, 4, 2205, 4838, 6, 148346, 13845, 54574, 119718, 43590, 4, 199145, 6, 183718, 1644, 54260, 29060, 8903, 75386, 230764, 116486, 8300, 35596, 5 ]

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

[ 26612, 6, 148346, 13845, 54574, 119718, 43590, 26612, 6, 148346, 13845, 54574, 119718, 43590, 3056, 1470, 54260, 59461, 3120, 1285, 3523, 54260, 46545, 4113, 115374, 4, 199145, 68558, 220224, 42542, 1285, 6, 159696, 21295, 42493, 1470, 75230, 2702, 104378, 5, 8947, 3056, 42493, 178748, 44779, 4, 215031, 28726, 115374, 170479, 1211, 6, 124470, 9719, 2648, 151614, 148346, 1211, 152358, 15289, 182731, 4, 8947, 42542, 6319, 54260, 59461, 42493, 2808, 75230, 2702, 104378, 6, 68558, 6, 148346, 29766, 15388, 2200, 657, 54260, 12483, 2200, 119055, 12483, 4151, 6, 148346, 13845, 54574, 119718, 43590, 235466, 22426, 90848, 8300, 35596, 56170, 220224, 1211, 6235, 75386, 4, 199145, 7369, 6, 105515, 6, 17645, 119132, 4151, 144754, 4838, 61842, 4, 68313, 1470, 75230, 4667, 220273, 6319, 54260, 1211, 5332, 119718, 10125, 42493, 5, 199145, 3056, 220224, 1211, 182731, 7369, 61397, 3120, 4852, 54260, 1211, 364, 75230, 4852, 4, 199145, 7369, 56170, 218710, 2882, 32, 8947, 119055, 29060, 6319, 54260, 59461, 42493, 6, 225975, 1211, 4, 36324, 63593, 21660, 6093, 6, 94741, 63020, 70845, 6235, 148346, 1211, 2190, 112304, 34533, 220224, 1211, 364, 75230, 4852, 3069, 119055, 2808, 75230, 49008, 4, 56170, 119718, 120467, 4852, 36326, 170479, 7369, 70845, 6235, 148346, 1211, 220224, 1211, 182731, 2190, 112304, 34533, 4151, 144754, 3069, 364, 183512, 1644, 12483, 32, 4852, 54260, 6093, 198754, 3069, 6, 101470, 116486, 8300, 35596, 4, 133190, 163139, 36324, 75230, 32, 7265, 15622, 25391, 4, 7265, 26612, 30795, 123387, 4, 6, 99611, 4151, 6, 148346, 13845, 54574, 119718, 43590, 2200, 42493, 119055, 6093, 8947, 657, 54260, 29060, 170479, 1211, 506, 29771, 148346, 1211, 7746, 3069, 6319, 203749, 1211, 5, 7369, 192956, 657, 54260, 2882, 188485, 6, 57277, 39340, 36324, 75230, 4, 220224, 56170, 1644, 54260, 12483, 8903, 21295, 4, 188485, 6, 17645, 119132, 4838, 61842, 4, 2200, 6, 101470, 4151, 7201, 23173, 4838, 19302, 54260, 119132, 116486, 8300, 35596, 4, 163139, 46590, 18225, 42542, 6235, 238144, 5666, 44779, 56170, 10069, 49008, 7265, 215031, 45495, 24621, 5, 148346, 54260, 20315, 21923, 3069, 211630, 1211, 12, 4151, 199145, 657, 54260, 29060, 3056, 3069, 211630, 1211, 3120, 4151, 104855, 506, 4, 2200, 4151, 31807, 54574, 119718, 43590, 292, 3120, 10676, 19302, 54260, 119132, 116486, 8300, 35596, 5, 168892, 170479, 6235, 159696, 56880, 220224, 1211, 215031, 6, 148346, 13845, 54574, 119718, 43590, 4, 119055, 39083, 2882, 6255, 1751, 75230, 1211, 46685, 42493, 874, 39478, 21847, 6235, 119718, 29766, 1211, 4, 2200, 4151, 117902, 13982, 40096, 3131, 7682, 4, 199145, 18133, 151614, 16803, 24390, 364, 54260, 13497, 6, 148346, 26612, 2932, 90848, 148346, 1211, 4, 119055, 39083, 2882, 220273, 230764, 4151, 6, 159696, 75386, 42493, 6235, 159696, 56880, 5, 59929, 4667, 6, 218241, 46053, 4, 22639, 103023, 13159, 4, 6235, 54561, 4, 6319, 40096, 126968, 2702, 4, 6, 78683, 4, 506, 114436, 119055, 39083, 28320, 6, 148346, 54260, 2050, 28726, 148346, 1211, 6235, 148346, 7972, 148346, 1211, 4, 4838, 3373, 4667, 6, 148346, 905, 18415, 63849, 13159, 6, 238144, 1211, 2200, 117902, 2442, 16932, 119055, 39083, 28320, 42493, 2808, 75230, 111137, 4484, 29766, 39340, 159696, 2882, 6235, 119718, 29766, 1211, 4, 4838, 3373, 4667, 3496, 26612, 148346, 23173, 29171, 13159, 119055, 39083 ]

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

[ 28320, 42493, 6235, 506, 59929, 199145, 3069, 56170, 16629, 171665, 14303, 1211, 2200, 2205, 6319, 99766, 1211, 3069, 56170, 3131, 22426, 159993, 4, 2200, 35189, 22518, 54260, 148346, 6093, 6, 148346, 54260, 2050, 6, 148346, 2754, 122623, 31249, 98683, 119055, 39083, 2882, 6235, 506, 40096, 4838, 3373, 4667, 6, 238144, 29171, 6093, 6, 90090, 850, 3069, 56170, 25391, 54260, 148346, 1211, 292, 133190, 6255, 6, 148346, 8580, 6, 99611, 215031, 6, 148346, 13845, 54574, 119718, 43590, 6235, 119718, 5332, 56880, 4, 6255, 151614, 148346, 20033, 4838, 83182, 3131, 236225, 6235, 159696, 56880, 5, 36324, 123736, 4667, 2200, 304, 3768, 238144, 3056, 1751, 75230, 1211, 10676, 6235, 159696, 56880, 4, 199145, 37826, 6235, 2648, 23173, 23741, 132025, 104378, 3069, 6, 109600, 125523, 8903, 21295, 5, 6, 105780, 6293, 4, 55242, 13805, 116486, 8300, 35596, 4838, 101497, 37826, 6, 148346, 54260, 20033, 6235, 506, 54260, 46053, 4838, 4269, 2865, 65469, 225663, 5, 6, 68558, 4838, 160238, 2865, 21106, 23269, 119055, 37016, 35044, 56170, 29659, 54260, 2882, 7746, 4, 36324, 6255, 151614, 148346, 42493, 183718, 7972, 12483, 4, 133190, 6, 135127, 2442, 6, 148346, 2882, 3149, 2884, 151614, 148346, 6255, 125523, 6, 139449, 4838, 18906, 171665, 2884, 4, 119718, 120467, 37826, 6235, 2648, 23173, 23741, 6, 238144, 29171, 16803, 16667, 29434, 54260, 874, 39083, 36324, 75230, 84087, 119055, 77188, 220224, 1211, 4, 119718, 710, 1285, 45495, 24621, 199145, 6255, 151614, 148346, 6235, 8903, 148346, 1211, 5, 95455, 119055, 37016, 35044, 37826, 123736, 148346, 6093, 1470, 75230, 4667, 8903, 1982, 22151, 2882, 220224, 1211, 230764, 29434, 54260, 874, 39083, 36324, 75230, 84087, 5, 37826, 20033, 9174, 55687, 4151, 148346, 13845, 27023, 1982, 6, 172060, 185226, 3069, 4151, 21422, 2882, 6, 99611, 120202, 8903, 8903, 148346, 1211, 4, 84475, 42493, 1470, 23174, 48904, 64213, 29771, 4113, 8903, 8903, 148346, 1211, 4, 151614, 148346, 6255, 6235, 212484, 2882, 6, 95494, 64213, 10676, 18906, 171665, 2884, 4, 2200, 151614, 148346, 1751, 75230, 1211, 35189, 13342, 174538, 6235, 506, 40096, 4, 14856, 170479, 70845, 6, 95494, 64213, 56170, 4838, 29434, 710, 21338, 163139, 20033, 68313, 6, 130991, 5, 56170, 10676, 9213, 148346, 6093, 133671, 151614, 148346, 6255, 1470, 54260, 5666, 8903, 8903, 49209, 95455, 159696, 13805, 1644, 2200, 151614, 148346, 10676, 6, 148346, 13845, 27023, 1982, 220224, 1211, 56170, 24621, 15388, 9213, 148346, 6093, 8903, 25391, 710, 148346, 1211, 4, 24390, 1470, 54260, 23405, 48350, 21660, 2882, 4, 36324, 75230, 6, 71804, 23405, 36324, 75230, 6, 148346, 2442, 54260, 2882, 4, 6, 148346, 15533, 95455, 4269, 48904, 26394, 119055, 37016, 35044, 68313, 20033, 6, 148346, 26612, 8300, 39083, 2882, 6235, 119718, 29766, 1211, 133880, 10676, 18906, 171665, 2884, 5, 22518, 54260, 12483, 4, 6, 238144, 49008, 4, 148346, 213783, 4, 109925, 28320, 37826, 205026, 6, 99611, 6235, 23173, 2882, 4, 56170, 10339, 21106, 3131, 1751, 119718, 53414, 151614, 148346, 168892, 6319, 54260, 1211, 874, 151461, 42493, 6235, 506, 40096, 4, 6319, 54260, 1211, 30795, 20961, 7611, 151614, 148346, 6255, 56170, 6319, 54260, 119132, 7511, 2882, 6235, 506, 40096, 74, 1470, 15907, 192956, 2442, 6, 94741, 63020, 6, 148346, 155, 506, 151614, 148346, 1211, 3069, 20033, 4, 2200, 6255, 6, 198087 ]

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

[ 54260, 119132, 42493, 292, 199145, 49920, 6255, 1285, 186046, 4944, 13159, 38, 292, 13342, 2050, 874, 54260, 16667, 28320, 151614, 148346, 6255, 6235, 121865, 1211, 116486, 8300, 35596, 6, 148346, 54260, 41764, 12415, 51220, 4, 42493, 119718, 15350, 230764, 69715, 1211, 151614, 148346, 47833, 4, 9174, 55687, 4, 6, 31177, 83811, 6235, 506, 40096, 292, 122780, 905, 65577, 711, 31177, 83811, 3056, 42493, 74806, 57277, 49008, 2205, 874, 54260, 1211, 6, 26394, 21338, 4, 133190, 6, 238144, 1644, 4838, 54260, 2648, 4, 119718, 120467, 657, 54260, 29060, 6, 148346, 54260, 215031, 6, 124470, 95957, 15907, 163139, 6255, 182731, 4, 3056, 4838, 6319, 148346, 64213, 4, 4838, 148088, 69355, 4, 92500, 199145, 119055, 13845, 6255, 6, 148346, 54260, 70845, 220273, 1470, 75230, 49268, 54260, 46053, 705, 36324, 6255, 119055, 13845, 70845, 3131, 75230, 1211, 9213, 148346, 6093, 25391, 54260, 148346, 1211, 220224, 1211, 67882, 101328, 16667, 37016, 2200, 119055, 13845, 70845, 1751, 75230, 1211, 1285, 148346, 4113, 148346, 4113, 4944, 13159, 4838, 159696, 4484, 101470, 4, 199145, 42542, 81444, 4, 43649, 54260, 16667, 6235, 225975, 2882, 4, 56170, 26612, 34076, 7682, 220224, 1211, 6, 80453, 45631, 3056, 1470, 54260, 1211, 221895, 6, 170355, 4667, 4, 7369, 37826, 4838, 4151, 21066, 4, 26612, 107189, 4, 4838, 133190, 21106, 142170, 4, 16175, 75230, 38249, 4, 99509, 159696, 24152, 13159, 4, 95455, 3056, 4838, 3373, 42695, 506, 4, 81444, 42542, 51723, 4838, 6, 148346, 54260, 47526, 120202, 28726, 38249, 5, 292, 4838, 6, 80453, 45631, 151614, 148346, 6255, 6235, 8903, 148346, 1211, 182731, 6, 148346, 171665, 61722, 166623, 4, 6255, 151614, 148346, 205026, 220273, 7511, 2882, 6235, 2808, 54260, 21295, 120202, 13342, 101470, 4, 4838, 13982, 148346, 506, 4, 6255, 506, 29771, 148346, 70845, 125523, 76961, 874, 39083, 3069, 8903, 8903, 148346, 1211, 32054, 40697, 206105, 57906, 35465, 4, 4838, 148346, 24295, 29766, 95455, 119055, 37016, 35044, 9213, 148346, 6093, 8903, 25391, 710, 148346, 1211, 5, 8947, 56170, 29659, 54260, 2882, 7746, 4, 36324, 95455, 159696, 13805, 1644, 37826, 6235, 192575, 2882, 220224, 1211, 230764, 29434, 54260, 874, 39083, 36324, 75230, 84087, 5, 1751, 109636, 16932, 4, 134712, 165592, 7369, 3056, 1751, 75230, 1211, 6, 23173, 54260, 23405, 37016, 90848, 12984, 2205, 36324, 75230, 46590, 182731, 4, 36324, 7369, 37826, 3131, 75230, 1211, 42493, 241997, 120202, 8903, 148346, 1211, 4, 151614, 148346, 6255, 1751, 75230, 1211, 56170, 71804, 23405, 2882, 4838, 6, 119859, 69106, 23847, 75230, 46053, 116486, 8300, 35596, 2200, 3944, 39222, 6, 148346, 2882, 3149, 2884, 4838, 119055, 37016, 35044, 230764, 10184, 23269, 6293, 874, 39083, 4, 2200, 75322, 39083, 4, 36324, 6255, 151614, 148346, 133190, 241997, 1470, 75230, 2702, 215629, 2451, 2808, 75230, 6293, 9424, 12483, 874, 39083, 36324, 75230, 46590, 5, 165592, 26612, 74388, 151614, 148346, 6255, 73784, 874, 54260, 16667, 28320, 133190, 6235, 212484, 2882, 657, 75230, 33225, 4838, 9424, 54260, 2882, 2200, 5666, 29766, 42493, 6235, 87311, 13497, 4, 119055, 6093, 63259, 119273, 36324, 4151, 6, 80453, 45631, 3056, 6235, 159696, 56880, 1470, 54260, 1211, 21106, 16932, 5, 151614, 148346, 6255, 70845, 220273, 6235, 212484, 2882, 657, 75230, 33225, 5, 37826, 7369, 123736, 148346, 6093, 133190, 2808, 54260, 1211, 1470 ]

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

[ 75230, 2932, 3069, 23269, 101296, 40377, 4, 6, 148346, 8580, 6255, 6, 124470, 710, 171665, 6293, 3069, 8903, 186145, 46053, 7265, 10676, 6, 159696, 13805, 17410, 2884, 151614, 148346, 120202, 139449, 56170, 1470, 15907, 28726, 12984, 6, 75290, 148346, 1644, 9424, 12483, 4, 10339, 25046, 64213, 4, 9424, 119718, 48904, 10918, 4484, 4, 119718, 710, 21066, 6255, 151614, 148346, 133190, 241997, 5, 3056, 4151, 6, 21106, 16932, 123736, 148346, 6093, 1470, 54260, 1211, 6, 37016, 81829, 8903, 159696, 56880, 2200, 37826, 42493, 6235, 119718, 39083, 2882, 6, 13060, 119055, 53414, 2200, 8947, 3056, 20033, 6, 71804, 23405, 8903, 119718, 29766, 1211, 3069, 119055, 23173, 28320, 292, 6, 76776, 4, 151614, 148346, 6255, 205026, 4151, 7201, 23173, 6, 68558, 70845, 20632, 142785, 8903, 159696, 56880, 2200, 151614, 148346, 70845, 6235, 101296, 40920, 4838, 6, 148346, 710, 16932, 895, 16932, 5, 7369, 37826, 23050, 192575, 2702, 144754, 1285, 1470, 75230, 15388, 6, 104149, 4, 163139, 6255, 56170, 4484, 75230, 6293, 220224, 1211, 81444, 63020, 4, 7369, 364, 120467, 6235, 192575, 96256, 75230, 6293, 4151, 895, 16932, 6, 23173, 75230, 2702, 3120, 220224, 1211, 364, 75230, 6293, 4, 3120, 220224, 1211, 16175, 40096, 16667, 6, 142673, 506, 92500, 7746, 119055, 21106, 61397, 1211, 2205, 4151, 129165, 27105, 5, 4838, 32532, 119718, 506, 170479, 2882, 7369, 42493, 6235, 4852, 39083, 2882, 657, 54260, 12483, 6, 148346, 54260, 20033, 6319, 54260, 1211, 182731, 38, 199145, 3056, 4, 6255, 151614, 25207, 159696, 230764, 111215, 506, 148346, 2808, 32, 364, 26612, 32, 292, 88771, 6, 57277, 39340, 4, 95455, 88771, 4113, 119055, 37016, 35044, 7265, 123736, 38054, 13497, 44779, 22426, 90848, 8300, 35596, 119055, 39083, 2882, 7369, 241997, 17824, 23174, 6, 148346, 26612, 8300, 39083, 1211, 2200, 8947, 119055, 39083, 2882, 70845, 2932, 29766, 42493, 1751, 159696, 2442, 6, 148346, 25603, 56880, 5, 14856, 37826, 133190, 4151, 710, 148346, 6093, 6235, 2648, 23173, 23741, 95455, 81444, 63020, 7201, 23173, 4484, 75230, 33225, 4, 6, 238144, 1644, 874, 54260, 1211, 60631, 148346, 2884, 37826, 132025, 8903, 226112, 33225, 9424, 12483, 17268, 7201, 64213, 874, 39083, 36324, 75230, 46590, 4, 119718, 710, 46590, 8947, 3056, 3120, 70845, 6, 130991, 4, 133190, 199145, 4269, 54260, 2882, 95455, 205026, 6, 68558, 32, 13159, 3056, 874, 54260, 1211, 6, 48775, 148346, 13159, 19024, 29400, 4, 4838, 1751, 54260, 23269, 7508, 54260, 23269, 110573, 80453, 506, 38, 119055, 10705, 43649, 54260, 2882, 8947, 8903, 25391, 710, 148346, 1211, 4, 36324, 7369, 6, 94741, 63020, 151614, 148346, 1211, 6, 93704, 29766, 6293, 32, 292, 36324, 6255, 3373, 29766, 6319, 54260, 1211, 81444, 63020, 7511, 2882, 151614, 148346, 1211, 4, 178748, 6255, 151614, 148346, 1211, 6235, 75386, 5, 292, 168892, 119055, 13845, 124724, 220273, 1751, 114436, 2702, 4151, 8300, 54260, 67873, 12, 8947, 3056, 20033, 3523, 136775, 8903, 119718, 29766, 1211, 7746, 6, 21106, 54260, 1211, 6, 71804, 23405, 10676, 6319, 137377, 3069, 18133, 67873, 4, 119055, 23173, 28320, 73880, 84475, 101328, 164863, 71804, 23405, 2200, 4151, 238144, 1644, 874, 54260, 1211, 6, 148346, 710, 35044, 152358, 15289, 6, 212484, 1211, 2205, 129165, 2865, 140746, 35596, 4, 151614, 148346, 6255, 205026, 6, 75322, 39083, 874, 54260, 54343 ]

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

[ 6235, 159696, 56880, 2200, 151614, 148346, 36324, 75230, 6235, 80264, 4, 13159, 37826, 205026, 1470, 54260, 59461, 74806, 93449, 6, 225164, 3069, 7746, 4, 6255, 170479, 70845, 4838, 177282, 54260, 12483, 2882, 75230, 4852, 13497, 6, 75290, 148346, 44779, 4, 4838, 115556, 7265, 4838, 67882, 101328, 13497, 37016, 4, 133190, 6, 148346, 36326, 609, 6, 104038, 506, 120467, 7369, 6, 99611, 6235, 506, 40096, 6319, 54260, 1211, 874, 119718, 15289, 6, 75290, 148346, 1644, 2200, 37826, 3523, 54260, 46545, 6, 59461, 23173, 17748, 86549, 3131, 22426, 54260, 1211, 2205, 6319, 99766, 1211, 2200, 1470, 54260, 1211, 6, 129071, 12415, 36419, 4838, 1751, 54260, 23269, 3056, 17824, 142429, 1470, 75230, 4667, 8903, 159696, 56880, 2205, 43649, 64260, 5, 6, 113889, 4, 199145, 6, 202075, 18225, 42493, 2205, 215031, 3523, 54260, 46545, 6093, 8300, 54260, 2882, 32, 7369, 37826, 20033, 6235, 21847, 29060, 4, 6235, 17494, 29659, 4, 137, 87311, 17645, 6, 88660, 4944, 48904, 4113, 4, 19024, 175323, 41764, 710, 76632, 141943, 104149, 155, 292, 137, 204403, 30979, 54745, 3111, 5666, 4, 4231, 59929, 142170, 6, 48775, 142170, 711, 6255, 119055, 13845, 6235, 148346, 1211, 4, 133190, 26612, 119055, 37016, 35044, 230764, 10184, 23269, 6293, 874, 39083, 36324, 75230, 84087, 4, 18133, 6, 238144, 16803, 81444, 4667, 4, 41764, 710, 142170, 81444, 148346, 90848, 2648, 4852, 17645, 4, 874, 54260, 1211, 110573, 76866, 20971, 292, 137, 26217, 2882, 4, 95455, 119055, 37016, 35044, 3056, 56170, 46545, 4, 6, 76776, 4, 33960, 148346, 8903, 21295, 20971, 2451, 37271, 3131, 54260, 1211, 20971, 6255, 6, 119132, 95455, 119055, 37016, 35044, 4, 657, 54260, 12483, 8947, 9213, 148346, 6093, 4, 37189, 2702, 711, 2451, 168892, 6, 119132, 205026, 3069, 4151, 115222, 3131, 65482, 292, 6, 232187, 4, 41764, 36326, 22426, 48775, 36326, 2050, 41764, 710, 142170, 711, 168892, 65146, 4838, 657, 75230, 6293, 6, 80264, 4838, 506, 54260, 2050, 4, 6255, 151614, 148346, 56170, 8903, 46053, 95455, 6235, 75386, 7265, 13342, 101470, 4, 2205, 10676, 1470, 75230, 2932, 5666, 148346, 105330, 6, 81050, 6255, 98252, 5, 6255, 151614, 148346, 42493, 6235, 119718, 23173, 2882, 230764, 6319, 54260, 1211, 6, 124470, 41387, 506, 2200, 6, 148346, 8580, 1751, 75230, 1211, 4838, 159696, 4484, 292, 7265, 10676, 119055, 37016, 35044, 2865, 54260, 16667, 34079, 4, 6255, 6, 148346, 8580, 98252, 130991, 7265, 182731, 32, 4838, 874, 171665, 506, 711, 199145, 3056, 4, 26612, 17824, 75230, 36419, 32532, 119718, 506, 7369, 170479, 56170, 3131, 22426, 159993, 2205, 6319, 99766, 1211, 84475, 4151, 129071, 12415, 36419, 4838, 159696, 4484, 8903, 148346, 1211, 705, 6, 68558, 20033, 3056, 28415, 32532, 119718, 506, 5, 2205, 206105, 117875, 448, 4838, 68550, 364, 120467, 7369, 20033, 120202, 8903, 5666, 148346, 1211, 874, 54260, 1211, 6235, 75386, 4, 95455, 4269, 48904, 26394, 159696, 13805, 1644, 7265, 116486, 8300, 35596, 5, 874, 54260, 16667, 16878, 23165, 4, 36324, 6255, 151614, 148346, 36324, 75230, 6235, 121865, 1211, 92500, 6235, 48775, 148346, 4113, 159696, 2882, 4, 151614, 148346, 6255, 37640, 66293, 182731, 17824, 75230, 2702, 221531, 6235, 506, 40096, 4, 151614, 148346, 62808, 6, 124470, 43178, 23964, 448, 132025, 8903, 80264, 2200, 6, 148346, 2442, 54260, 2882, 6235 ]

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

[ 28726, 148346, 2882, 65146, 6255, 124724, 6, 225975, 1211, 4, 165592, 205026, 37826, 18225, 2205, 43649, 64260, 6235, 225164, 6, 148346, 54260, 2050, 3069, 113889, 51723, 137, 133274, 2004, 6, 238144, 17410, 18167, 151614, 148346, 6235, 28726, 148346, 2882, 6, 57277, 39340, 41764, 134193, 163139, 4838, 116486, 82576, 6, 133274, 5, 6255, 151614, 148346, 62808, 4838, 67826, 21733, 6, 148346, 2442, 75230, 2882, 6, 99611, 56170, 26217, 49008, 3069, 8947, 1211, 4, 6255, 151614, 148346, 6235, 94741, 33716, 2200, 8903, 4484, 119718, 23173, 2882, 4, 6, 148346, 8580, 6, 124470, 9719, 2648, 101251, 8903, 240863, 12483, 56170, 3131, 101296, 40920, 5, 6255, 151614, 148346, 6235, 28726, 148346, 57277, 4852, 6255, 151614, 148346, 6235, 8300, 54260, 21295, 6, 75290, 148346, 44779, 5, 6255, 151614, 148346, 6235, 506, 40096, 4838, 80839, 2050, 6, 238144, 148346, 2451, 15289, 13515, 124470, 2050, 1470, 75230, 4667, 4838, 6, 100863, 39478, 292, 119055, 29766, 46598, 22753, 3056, 1470, 75230, 4667, 36324, 75230, 6, 78683, 48974, 6235, 159696, 56880, 163139, 2205, 4, 2200, 37826, 133190, 116486, 8300, 35596, 6235, 121865, 1211, 5, 22753, 46654, 35596, 6, 225975, 1211, 4838, 3373, 4667, 124470, 506, 46067, 4, 2205, 11265, 6, 124470, 506, 69336, 17017, 3056, 123736, 148346, 6093, 133190, 74806, 57277, 49008, 12, 137, 2442, 148346, 74197, 620, 71107, 4, 75290, 148346, 44779, 38, 6, 75290, 148346, 44779, 38, 4838, 3373, 4667, 6, 75290, 148346, 44779, 16, 125523, 6, 75290, 148346, 44779, 20971, 11265, 6, 124470, 46590, 506, 56170, 7972, 40920, 148346, 35596, 81829, 3056, 6235, 159696, 56880, 152, 137, 2442, 148346, 74197, 620, 71107, 4, 6, 75290, 148346, 44779, 6, 20971, 1285, 6, 124470, 3149, 29338, 69355, 121193, 54260, 2882, 44779, 657, 54260, 15388, 3056, 6235, 159696, 56880, 12, 137, 2442, 148346, 74197, 620, 71107, 4, 6, 75290, 148346, 44779, 20971, 95455, 94741, 159696, 49008, 3120, 119055, 29771, 4667, 4, 1751, 148346, 609, 2200, 17953, 104855, 3056, 133190, 6235, 159696, 56880, 12, 6, 75290, 148346, 44779, 4, 75290, 148346, 44779, 711, 95455, 3056, 6235, 159696, 56880, 11265, 4231, 10918, 28133, 6, 170895, 41764, 2702, 3149, 73784, 92904, 4, 11265, 4113, 21374, 9134, 40611, 6, 124470, 155697, 148346, 34557, 4, 11265, 32054, 54260, 2648, 2200, 11265, 657, 54260, 2648, 4, 80347, 185758, 6, 148346, 2442, 14325, 2200, 11265, 19302, 10125, 5, 137, 2932, 64260, 170479, 1470, 54260, 4667, 6, 148346, 35596, 81829, 7265, 4838, 75290, 148346, 44779, 20971, 2451, 506, 64260, 22753, 3069, 8903, 119718, 10705, 16667, 81829, 10676, 4, 199145, 37826, 11265, 4838, 61842, 8903, 80264, 5, 137, 4484, 54260, 1211, 6, 75290, 148346, 1644, 170479, 2882, 11265, 42493, 151614, 148346, 1211, 6, 20971, 292, 37826, 22753, 74806, 39083, 28320, 20315, 2050, 4, 199145, 22753, 37826, 7746, 7265, 70845, 6235, 84316, 16667, 5, 73486, 7611, 4, 20033, 21923, 114564, 56170, 364, 17310, 6093, 74806, 205416, 148346, 1211, 2205, 15750, 25391, 92500, 110573, 61722, 5, 119055, 29766, 46598, 110573, 61722, 151614, 148346, 1211, 20033, 1470, 75230, 4667, 6235, 506, 40096, 12, 14856, 46654, 172398, 194706, 148346, 213783, 230764, 76961, 77756, 15050, 292, 6, 238144, 1644, 148932, 3056, 194706, 182731, 131397, 103023, 8903, 159696, 56880, 292, 2200, 133190, 54745, 57619, 2865, 39083 ]

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

[ 151614, 148346, 1211, 20033, 194706, 72577, 132025, 8903, 8903, 46053, 2819, 159696, 1211, 42493, 1285, 77756, 15050, 4, 119055, 39083, 28320, 20033, 6, 57277, 39340, 6235, 159696, 56880, 1470, 75230, 2702, 8903, 240863, 12483, 7201, 23173, 364, 17310, 6093, 5, 2648, 120467, 6, 238144, 148346, 292, 6319, 54260, 1211, 72577, 2702, 170479, 22753, 6, 99611, 151614, 148346, 1211, 38, 292, 37826, 205026, 2932, 29766, 6235, 4484, 75230, 1644, 29060, 152, 6, 238144, 1644, 22753, 37826, 125523, 28415, 3944, 148346, 6235, 506, 40096, 182731, 3120, 62808, 4, 37826, 22753, 6, 23173, 54260, 23405, 79238, 34079, 22426, 2882, 182731, 2205, 36324, 13845, 107581, 7369, 16932, 4, 199145, 3056, 2648, 99766, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 4, 4838, 148346, 710, 18225, 37826, 11265, 3069, 8903, 225975, 2882, 4838, 3373, 4667, 22426, 90848, 8300, 35596, 5, 199145, 151614, 148346, 6255, 6235, 4852, 39083, 2882, 193178, 7265, 36324, 75230, 23269, 6, 148346, 13845, 710, 27023, 38574, 4, 199145, 24621, 37826, 6, 148346, 54260, 220224, 42493, 199145, 3069, 6, 101470, 705, 220224, 1470, 54260, 54561, 21660, 1211, 6, 94741, 63020, 18225, 2648, 29771, 4667, 6235, 148346, 1211, 6319, 29766, 24621, 119718, 29771, 710, 4, 170479, 6255, 125523, 657, 54260, 15388, 95455, 17190, 148346, 16870, 125897, 1470, 75230, 33225, 2882, 75230, 28320, 705, 292, 364, 171665, 76866, 4, 22753, 37826, 205026, 101251, 21847, 7682, 44779, 6235, 101296, 40920, 5, 874, 54260, 1211, 182731, 68313, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 4, 1285, 7508, 119718, 36484, 151614, 148346, 1211, 95455, 6, 97925, 1470, 75230, 111137, 46053, 5, 199145, 202075, 18225, 705, 165592, 6255, 151614, 148346, 6235, 104149, 4, 8947, 364, 54260, 148346, 2882, 20033, 6, 68558, 620, 91595, 3069, 3523, 54260, 1211, 4, 2865, 54260, 1211, 182731, 119055, 77188, 56170, 7201, 21106, 1211, 4, 6, 148346, 8580, 6255, 6235, 7201, 29766, 1211, 73784, 25093, 31467, 8580, 4, 119055, 29766, 46598, 69355, 4838, 72577, 1211, 54260, 35465, 151614, 148346, 6255, 1751, 57277, 24152, 6235, 234221, 5, 874, 54260, 1211, 6, 238144, 148346, 10339, 147713, 2882, 4852, 18167, 1751, 57277, 24152, 117902, 25207, 1211, 7265, 874, 95957, 9134, 2200, 9934, 76776, 104238, 4484, 13159, 2200, 6, 88660, 32206, 5666, 119718, 23173, 59919, 100810, 4, 133190, 6255, 151614, 148346, 29434, 710, 49008, 6, 238144, 29171, 119718, 120467, 6235, 21847, 75230, 148346, 2882, 4, 2205, 10676, 2442, 148346, 8580, 151614, 148346, 6255, 28415, 6, 172039, 6235, 506, 40096, 5, 6255, 6, 238144, 2702, 4, 160238, 2702, 4838, 6, 164131, 711, 292, 9719, 17410, 4, 6255, 151614, 148346, 10676, 25093, 31467, 8580, 6235, 8903, 148346, 1211, 230764, 4838, 41764, 10069, 2884, 4, 44855, 13515, 124470, 2050, 42493, 4484, 54260, 1211, 71180, 155, 2882, 5950, 17525, 4, 119055, 29766, 46598, 182731, 6235, 148346, 1211, 3056, 20033, 6, 124470, 9719, 2648, 220224, 6093, 3131, 159696, 2442, 6235, 159696, 56880, 4, 874, 54260, 1211, 364, 84577, 37826, 133190, 241997, 6, 101470, 4, 133190, 10676, 2442, 148346, 8580, 65146, 18225, 81444, 4667, 5332, 22426, 13159, 6235, 148346, 98071, 5, 4151, 25093, 31467, 710, 364, 120467, 205026, 6235, 148346, 172398, 2702, 2702, 144754, 4838, 41764, 2702, 43082, 137, 54574, 75230, 2702, 4269, 75230, 2050, 25093 ]

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

[ 31467, 448, 39956, 31467, 506, 1157, 25282, 77525, 155, 292, 18133, 119055, 119273, 84577, 1644, 54260, 12483, 4838, 3373, 4667, 20632, 54260, 2050, 4, 3496, 64260, 3131, 18133, 119055, 119273, 6319, 54260, 119132, 42493, 4838, 177282, 54260, 12483, 5, 6255, 304, 5016, 148346, 8580, 6235, 159696, 56880, 4838, 67826, 21733, 68173, 27513, 4, 151614, 148346, 6255, 205026, 132025, 8903, 225164, 12, 137, 16803, 54260, 48253, 4, 2442, 148346, 710, 38, 1157, 25282, 77525, 3056, 81444, 4667, 16175, 54260, 48253, 12, 18133, 119055, 119273, 42493, 657, 54260, 12483, 52, 292, 137, 134193, 506, 4, 2648, 64260, 7746, 4151, 25093, 31467, 710, 4838, 6, 148346, 54260, 168155, 23050, 28320, 4, 199145, 3056, 4, 4838, 6, 148346, 13845, 79950, 108264, 148346, 34533, 905, 133190, 4, 122780, 905, 65577, 9934, 6255, 364, 54260, 2702, 1157, 25282, 77525, 170479, 220224, 1211, 1285, 16175, 54260, 48253, 4852, 39083, 16803, 6, 99611, 4838, 177282, 54260, 12483, 5, 160238, 4838, 506, 54260, 2050, 2200, 6, 212484, 1285, 4667, 42493, 132025, 2932, 54260, 1211, 20971, 4838, 159696, 4484, 7201, 29766, 213952, 37640, 66293, 25093, 31467, 8580, 21923, 20033, 220224, 23269, 119055, 6093, 16932, 2205, 6319, 137377, 6, 23173, 54260, 1211, 92500, 6, 148346, 8580, 6, 130991, 230764, 4151, 5332, 8632, 3069, 193178, 10339, 21106, 36326, 6319, 119718, 15907, 44779, 230764, 2442, 54260, 107581, 41764, 12415, 51220, 4, 292, 95455, 174538, 37826, 6235, 506, 39083, 33225, 5, 6255, 151614, 148346, 6235, 84316, 15388, 26612, 6, 148346, 65606, 4, 199145, 6319, 68558, 1285, 41545, 24001, 14325, 4, 2200, 151614, 148346, 6235, 101296, 40920, 6319, 119718, 15907, 44779, 230764, 80453, 31623, 448, 199145, 21923, 1751, 75230, 1211, 6, 71804, 23405, 16175, 75230, 2882, 2200, 6, 148346, 8580, 6, 130991, 3069, 220224, 123073, 16580, 83182, 6, 87311, 49008, 4, 1285, 114955, 4, 199145, 151614, 148346, 1211, 42493, 6235, 119718, 39083, 2882, 220224, 123073, 13845, 16932, 16667, 6, 113889, 51723, 6, 95494, 152848, 193178, 4, 151614, 148346, 1211, 6235, 8300, 39083, 2882, 5, 292, 124470, 46352, 609, 9213, 905, 95455, 74806, 119273, 220224, 6093, 72577, 6235, 240863, 12483, 5, 76961, 4231, 17310, 4113, 80453, 31623, 448, 57973, 6235, 8300, 39083, 2882, 1285, 6319, 119718, 15907, 44779, 4, 199145, 6255, 151614, 148346, 6, 113889, 4944, 8903, 101296, 40920, 2808, 75230, 6293, 220224, 123073, 74806, 205416, 148346, 65482, 895, 16932, 1211, 4, 8947, 364, 120467, 6319, 54260, 59461, 4838, 119055, 99766, 42493, 238197, 5, 6255, 6, 148346, 8580, 6, 148346, 54260, 20033, 36324, 75230, 1751, 57277, 24152, 6235, 119718, 29766, 1211, 2205, 4151, 6, 140746, 4, 165592, 6255, 151614, 148346, 41764, 134193, 17288, 20116, 6235, 506, 40096, 3069, 193178, 4838, 6319, 119718, 710, 21338, 230764, 4838, 17190, 148346, 16870, 133671, 6, 80453, 45631, 2200, 6, 148346, 8580, 70845, 6, 130991, 6, 87311, 49008, 5, 4151, 6, 80453, 45631, 17806, 20911, 205026, 6, 68558, 119718, 710, 4838, 74127, 8903, 119132, 152, 137, 159696, 1211, 151614, 148346, 6255, 6, 148346, 54260, 124724, 6, 139449, 182731, 6, 24846, 2451, 37271, 16803, 54260, 48253, 4, 905, 12483, 705, 123736, 2932, 6255, 4, 6, 64260, 95455, 3056, 81444, 4667, 6428, 54260, 1211, 6319, 75230, 35044, 4, 8947, 43649, 54260, 2882, 81444, 4667, 14004 ]

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

[ 66293, 6319, 119718, 710, 21338, 4, 6319, 43178, 126934, 54745, 1211, 657, 54260, 4484, 171428, 4, 36324, 95455, 3056, 42493, 6428, 54260, 1211, 506, 609, 31529, 6, 24846, 292, 4151, 6, 80453, 45631, 3056, 22518, 37016, 44779, 6, 148346, 54260, 4852, 6235, 119718, 29766, 1211, 2200, 37826, 205026, 171433, 8903, 506, 75230, 148346, 1211, 3069, 112216, 48253, 1211, 5, 6255, 6, 148346, 8580, 6235, 7201, 21106, 1211, 3069, 4151, 7369, 2648, 4, 7369, 37826, 9719, 4667, 6235, 49268, 213783, 6, 203326, 1285, 6, 131445, 5, 58571, 7611, 4, 7369, 37826, 205026, 36324, 75230, 74806, 203749, 1211, 4, 165592, 14856, 37826, 205026, 4838, 159696, 4484, 8903, 226112, 15388, 2205, 4838, 657, 54260, 44779, 5, 6255, 151614, 148346, 4838, 40920, 97634, 2932, 6235, 25616, 135118, 2882, 2200, 7501, 74806, 205416, 148346, 1211, 35189, 41545, 4667, 86270, 37826, 7265, 20033, 6319, 54260, 1211, 3373, 4667, 119166, 64213, 42493, 6235, 101296, 40920, 18133, 6, 148346, 34533, 4, 6, 225975, 2702, 7369, 4, 6235, 159696, 56880, 4838, 6, 133274, 4, 14856, 37826, 1285, 4667, 6235, 225164, 133274, 4, 2200, 18133, 170479, 16803, 3496, 23173, 6428, 54260, 23269, 22753, 16747, 874, 39478, 21847, 119055, 53414, 2205, 4838, 6, 133274, 5, 98989, 26612, 6, 133274, 168892, 65146, 124724, 6, 225975, 1211, 4, 874, 54260, 1211, 3944, 148346, 6093, 69512, 212915, 4, 36324, 4838, 6, 133274, 3056, 5666, 29766, 42493, 620, 91595, 3069, 220224, 1211, 5, 95455, 200795, 151614, 148346, 6255, 6, 80453, 124873, 6, 148346, 12415, 119718, 3149, 4, 13159, 1211, 9213, 148346, 6093, 6428, 13159, 874, 75230, 1644, 2200, 8947, 37826, 205026, 4838, 4269, 90848, 81829, 42493, 6235, 88660, 16803, 5, 168892, 151614, 148346, 6235, 506, 40096, 95455, 6, 148346, 13159, 18415, 6235, 147713, 6093, 4, 6255, 151614, 148346, 205026, 1470, 75230, 2702, 8903, 119718, 21106, 61397, 2882, 126081, 268, 76961, 6, 148346, 1644, 64260, 13159, 5, 8947, 37826, 205026, 133190, 56170, 13982, 120467, 1211, 4, 199145, 6255, 506, 29771, 148346, 6235, 2648, 23173, 23741, 6, 148346, 13845, 54574, 119718, 43590, 238144, 4852, 36324, 75230, 151614, 25207, 159696, 1211, 4, 151614, 148346, 1211, 3069, 160204, 144754, 115374, 4, 7746, 7265, 220224, 3069, 117902, 163177, 9183, 12483, 4, 6, 113889, 4944, 101296, 12984, 10339, 21106, 36326, 77756, 38461, 4, 165592, 75230, 4, 36324, 14856, 37826, 20033, 36324, 3131, 1285, 6, 148346, 54260, 59461, 6, 26394, 148346, 90848, 12984, 4, 76961, 2702, 110573, 10069, 3069, 148346, 26612, 104378, 182731, 4, 4838, 10073, 182731, 4, 125523, 182731, 4, 6, 75290, 148346, 44779, 38, 6, 75290, 148346, 44779, 38, 163139, 2865, 54260, 1211, 6, 238144, 148346, 10339, 147713, 2882, 3069, 6, 225975, 1211, 4, 36324, 4838, 6, 133274, 42542, 7746, 133190, 6, 68558, 10676, 6, 148346, 26612, 2932, 54260, 1211, 5, 199145, 107776, 20033, 6, 23173, 75230, 2702, 3120, 10676, 76961, 51723, 32, 95455, 182731, 3056, 8903, 148346, 7972, 148346, 1211, 6, 148346, 54260, 874, 54260, 1211, 6, 238144, 148346, 2200, 6255, 6, 148346, 8580, 6235, 159696, 56880, 4838, 6, 133274, 2200, 7501, 6, 238144, 16932, 4838, 6, 133274, 5, 113889, 4667, 1470, 54260, 1211, 6, 170355, 4667, 3056, 20033, 220224, 6093, 620, 91595, 6235, 159696, 56880, 12, 6255, 151614, 148346, 205026 ]

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

[ 8903, 4852, 29766, 98833, 2200, 151614, 148346, 874, 151461, 6235, 506, 40096, 4, 36324, 1470, 31623, 2702, 119055, 13845, 6255, 220273, 6319, 54260, 1211, 6, 124470, 114773, 3131, 75230, 1211, 42493, 151614, 148346, 1211, 2200, 119055, 13845, 1751, 75230, 1211, 65146, 1211, 6, 148346, 1644, 54260, 148346, 1211, 230764, 1470, 54260, 148346, 7682, 4838, 6, 133274, 5, 165592, 6255, 7501, 6235, 159696, 56880, 4838, 45521, 38054, 4, 4838, 10184, 3131, 4, 1470, 54260, 1211, 1470, 54260, 59094, 4, 4838, 41764, 137218, 119718, 39340, 4, 26612, 46590, 905, 4838, 364, 106559, 4, 6, 148346, 8580, 6255, 76961, 874, 39083, 6, 130991, 3069, 4838, 6, 54260, 35465, 2205, 165284, 148346, 23173, 54260, 1211, 4, 151614, 148346, 6, 75322, 39083, 221387, 4838, 6, 178303, 506, 2200, 6, 148346, 2442, 16878, 5, 6255, 6, 238144, 2702, 84087, 4, 168892, 151614, 148346, 205026, 6, 21106, 7611, 6235, 12415, 148346, 1211, 4838, 68550, 4151, 6, 178303, 506, 4, 6, 148346, 15533, 6255, 151614, 148346, 6235, 506, 40096, 1470, 54260, 1211, 103648, 2200, 6, 148346, 8580, 163139, 35189, 874, 39478, 21847, 6235, 119718, 29766, 1211, 2205, 4838, 115374, 4, 95766, 4838, 6, 54260, 35465, 4, 3496, 64260, 3131, 199145, 56170, 4838, 6, 54260, 35465, 4, 3056, 81444, 4667, 4838, 6, 54260, 2648, 38, 182261, 123736, 148346, 6093, 26612, 6, 133274, 4, 210346, 3056, 874, 54260, 1211, 17190, 148346, 1211, 38, 56170, 3131, 119718, 23173, 56169, 6, 148346, 8580, 2205, 6235, 119718, 29766, 1211, 38, 4484, 54260, 1211, 6, 54260, 2648, 6, 212484, 2882, 205026, 6, 99611, 230764, 1285, 1470, 75230, 15388, 5, 6255, 119055, 21106, 63188, 205026, 133190, 105586, 8300, 119718, 65689, 37189, 54260, 2050, 4, 56170, 105780, 82576, 2882, 6, 148346, 8580, 6255, 6235, 119718, 29766, 1211, 4, 6255, 46711, 29060, 42493, 14004, 148346, 6093, 4838, 6, 54260, 2648, 40697, 1751, 159696, 1644, 4, 163139, 36324, 75230, 42542, 6255, 6, 104378, 3069, 1470, 54260, 1211, 103648, 32, 168892, 151614, 148346, 20033, 4838, 46590, 905, 76961, 178748, 192956, 7544, 6235, 8903, 148346, 1211, 4, 205026, 3069, 4838, 6, 54260, 35465, 95766, 165284, 148346, 6, 23173, 54260, 1211, 3069, 3496, 71577, 1211, 4, 6, 75322, 39083, 6, 148346, 54260, 70845, 4838, 117902, 2702, 76632, 26394, 9213, 148346, 6093, 198087, 53414, 4, 6, 75322, 39083, 4838, 110573, 25391, 1470, 75230, 2702, 23269, 4852, 21106, 64213, 1751, 46545, 46654, 54260, 3131, 4838, 159696, 4484, 13342, 226112, 15388, 4, 99611, 1470, 54260, 1211, 874, 39083, 151614, 148346, 6255, 6235, 4944, 71577, 2882, 19302, 4113, 22426, 7265, 43649, 37016, 16667, 7265, 6319, 64260, 86733, 13159, 2200, 151614, 148346, 8947, 28798, 148346, 1644, 6, 148346, 26612, 506, 25559, 6235, 159696, 56880, 4, 4838, 12890, 4838, 9934, 4944, 98071, 506, 3069, 151614, 148346, 1211, 4113, 22426, 13159, 4838, 364, 54260, 105330, 119055, 99766, 3120, 4838, 6, 54260, 35465, 3069, 364, 53414, 292, 874, 54260, 1211, 7544, 3056, 123736, 148346, 6093, 8903, 159696, 56880, 220273, 2190, 112304, 34533, 5, 36324, 4151, 6, 54260, 2648, 37826, 133190, 874, 54260, 1211, 46711, 54260, 29111, 186046, 89930, 4113, 15, 80453, 13342, 6293, 16, 4151, 104149, 4, 37826, 70845, 4838, 18133, 59461, 4151, 3131, 203749, 1211, 5, 7369, 37826, 6235, 234221 ]

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

[ 22639, 144754, 1211, 6, 94741, 159696, 49008, 4, 37826, 7369, 6, 124470, 710, 171665, 6293, 1470, 75230, 150020, 20616, 77188, 5, 137, 26612, 6, 133274, 68313, 2205, 165284, 148346, 38, 46711, 54260, 148346, 2882, 70845, 6, 23173, 75230, 2702, 38, 6255, 42542, 6, 99611, 6, 94741, 159696, 49008, 20971, 58571, 7611, 4, 168892, 151614, 148346, 205026, 4838, 144532, 8903, 13982, 54260, 2882, 36324, 75230, 6, 71804, 23405, 2200, 151614, 148346, 42493, 241997, 506, 29771, 148346, 1211, 6319, 54260, 1211, 103648, 4, 6, 148346, 15533, 36324, 6255, 6, 148346, 8580, 1751, 75230, 1211, 6, 103023, 2200, 45521, 2882, 6235, 119718, 29766, 1211, 4, 506, 64260, 18225, 205026, 74806, 97634, 12984, 4, 120202, 8903, 114349, 21106, 29060, 2200, 230764, 67826, 75290, 6, 26394, 5, 506, 129071, 5, 874, 54260, 1211, 46654, 54260, 3131, 2200, 874, 54260, 1211, 10498, 21106, 7611, 37826, 18225, 230764, 56170, 16629, 2648, 65482, 170355, 12984, 56170, 7511, 56169, 4, 3120, 4838, 17824, 75230, 46053, 3373, 54260, 1644, 37826, 18225, 6235, 101296, 40920, 6319, 39083, 148346, 59929, 13159, 5, 2648, 120467, 3056, 6235, 159696, 56880, 874, 54260, 1211, 34076, 7682, 4, 36324, 75230, 163139, 18133, 119055, 119273, 364, 53414, 5, 119718, 710, 18225, 37826, 133190, 874, 54260, 23269, 6319, 39083, 148346, 59929, 13159, 6, 23173, 54260, 5666, 8903, 148346, 48775, 40920, 2205, 4838, 2932, 75230, 98071, 3131, 27855, 177243, 6, 23173, 54260, 1211, 4, 3056, 6, 148346, 21106, 2648, 6, 23173, 54260, 5666, 130991, 4838, 74127, 2932, 114436, 69715, 92500, 37826, 7746, 6235, 506, 54260, 46053, 6235, 148346, 1211, 4838, 6319, 39083, 148346, 59929, 5, 7369, 37826, 132025, 8903, 80264, 95455, 87637, 21338, 2200, 37826, 6, 119859, 69106, 7369, 16667, 2882, 4838, 6, 148346, 2442, 14325, 6235, 101296, 40920, 2200, 37826, 74806, 2865, 92605, 5666, 65482, 46053, 5, 148346, 54260, 1285, 119055, 6093, 16932, 151614, 148346, 6255, 205026, 132025, 8903, 225164, 3069, 4151, 3523, 83586, 12, 2451, 4838, 39340, 15388, 199145, 9424, 54260, 1644, 126934, 6, 109600, 4838, 6, 104038, 3120, 4838, 74127, 23269, 119132, 4852, 18133, 2865, 54260, 16667, 2882, 4, 36324, 6255, 6, 148346, 8580, 4838, 116486, 82576, 69512, 3131, 14857, 4, 6, 238144, 2702, 6255, 220273, 7511, 2882, 4, 165592, 15, 13159, 268, 6235, 7916, 49008, 7746, 1470, 75230, 4667, 19302, 29766, 4113, 6, 54260, 35465, 4, 199145, 3496, 71577, 1211, 67826, 44478, 506, 54260, 57277, 6319, 39083, 148346, 59929, 32, 6, 7961, 6, 101328, 4, 6, 225975, 2882, 1285, 3523, 83586, 4, 18133, 6, 148346, 34533, 6, 61397, 91595, 4, 8947, 3056, 4838, 46590, 905, 81444, 165592, 13845, 107581, 4, 199145, 8947, 1211, 133190, 6, 73381, 13497, 44779, 6319, 39083, 148346, 59929, 13159, 4, 2200, 6428, 119718, 46985, 19302, 29766, 4113, 4, 5666, 29766, 4838, 19302, 29766, 119425, 4, 199145, 6, 119273, 6319, 39083, 148346, 59929, 13159, 4, 67882, 40920, 81444, 4667, 123736, 148346, 6093, 6, 112452, 148346, 2442, 14325, 42493, 2200, 874, 54260, 1211, 6, 119859, 69106, 34076, 7682, 3056, 81444, 4667, 133190, 6235, 159696, 56880, 1285, 9721, 14325, 3742, 617, 119718, 29766, 46598, 6, 124470, 710, 171665, 6293, 163139, 7508, 6093, 6, 54260, 2648, 37826, 4838, 6, 148346, 2442, 14325, 23050, 69708, 40920, 4, 151614 ]

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

[ 148346, 6255, 6, 148346, 21106, 127731, 54260, 1211, 103648, 6235, 506, 40096, 2200, 6, 148346, 8580, 82679, 1644, 100863, 6235, 119718, 29766, 1211, 2205, 4838, 110573, 25391, 1211, 6, 54260, 35465, 4, 2205, 204403, 2648, 48775, 905, 24152, 5, 199145, 4269, 54260, 230764, 6, 205416, 8903, 2702, 5, 6, 99611, 5332, 22426, 13159, 4838, 74806, 73381, 13342, 101470, 292, 133190, 3069, 6, 101470, 120202, 23822, 29060, 8903, 75386, 4, 2200, 6, 57277, 39340, 4151, 710, 148346, 6093, 68313, 4151, 6, 133274, 2205, 70845, 3373, 39478, 100863, 6235, 119718, 29766, 1211, 5, 26612, 10339, 142429, 48775, 48253, 7682, 119718, 710, 6255, 6, 148346, 8580, 6235, 119718, 29766, 1211, 4838, 112216, 13982, 40096, 3131, 7682, 4, 151614, 148346, 6255, 132025, 8903, 506, 75230, 148346, 1211, 7201, 23173, 3131, 119718, 23173, 56169, 3069, 119055, 53414, 220273, 230764, 1470, 54260, 1211, 4838, 83182, 185527, 5, 43649, 13845, 124724, 7201, 29766, 4838, 115374, 4, 199145, 151614, 25207, 159696, 2882, 166464, 2200, 6, 76776, 40920, 6, 99611, 3120, 220224, 23269, 2882, 159696, 15388, 4, 42493, 230764, 6, 238144, 148346, 2200, 114955, 4, 133190, 4838, 159696, 4484, 13342, 8903, 148346, 1211, 3496, 26612, 148346, 23173, 29171, 13159, 92500, 6, 148346, 26612, 8300, 39083, 1211, 230764, 48706, 48904, 42180, 2702, 5, 292, 6255, 42542, 42493, 6, 225975, 1211, 4, 6255, 151614, 148346, 26612, 46590, 905, 6235, 8903, 46053, 2200, 6235, 110129, 20260, 12483, 4, 117902, 2442, 16932, 37826, 7746, 6235, 2932, 120467, 1211, 163139, 119055, 59929, 6093, 4, 133190, 8947, 3056, 20033, 42493, 6, 148346, 26612, 104378, 4, 6, 238144, 1644, 3120, 4151, 364, 54260, 2050, 151614, 148346, 168892, 6, 124470, 9719, 2648, 6235, 506, 40096, 10339, 171127, 123073, 6, 148346, 12415, 119718, 4, 36324, 874, 54260, 1211, 6, 238144, 148346, 37826, 42493, 230764, 148346, 2442, 75230, 2882, 5, 182731, 3069, 1751, 133671, 151614, 148346, 6255, 6319, 54260, 5666, 2865, 39083, 42493, 6235, 506, 40096, 4, 6, 238144, 1644, 95455, 6093, 105235, 6, 148346, 13159, 18415, 182731, 151614, 148346, 6255, 6235, 192575, 2882, 9424, 29060, 54260, 67873, 19302, 54260, 23269, 3496, 26612, 148346, 23173, 5666, 54260, 13159, 4, 2200, 95455, 9213, 148346, 6093, 125897, 292, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 56170, 8947, 1211, 2200, 20315, 2050, 1751, 135118, 6093, 56170, 81414, 20260, 12483, 5, 4838, 506, 54260, 2050, 3069, 1751, 133671, 3056, 6319, 54260, 5666, 2865, 39083, 42493, 8903, 148346, 7972, 148346, 1211, 5, 6, 21106, 54260, 1211, 6, 148346, 8580, 6255, 4838, 144532, 195054, 29771, 33225, 3120, 1470, 54260, 1211, 37189, 148346, 6093, 64310, 43649, 64260, 95766, 4151, 221895, 2442, 230764, 6, 205416, 23269, 2702, 2200, 6428, 119718, 46985, 7265, 117902, 2882, 29659, 292, 163139, 165354, 4838, 117902, 13982, 40096, 3131, 7682, 160238, 1211, 6, 68558, 4838, 34076, 218241, 4, 9174, 55687, 32, 6, 179735, 3056, 6235, 159696, 56880, 124470, 9719, 2648, 28415, 6, 75230, 132200, 506, 2200, 2205, 74388, 850, 151614, 148346, 6255, 6235, 105235, 13805, 9213, 148346, 53414, 4484, 137377, 5, 119055, 39083, 2882, 6255, 6235, 159696, 56880, 6, 139449, 4838, 241304, 7265, 6, 148346, 23173, 4113, 107581, 3111, 5666, 5666, 4, 144754, 9213, 148346, 6093, 1644, 54260, 3111, 23405, 4, 36324, 75230, 46590 ]

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

[ 6, 94741, 63020, 205026, 6, 88660, 119364, 4, 36324, 75230, 46590, 6, 94741, 63020, 6255, 7201, 23173, 10069, 49008, 4, 2200, 119055, 16870, 186461, 10676, 6, 148346, 23173, 4113, 4944, 171428, 1285, 6, 179735, 4, 119055, 39083, 2882, 6255, 124470, 9719, 2648, 241997, 151614, 148346, 1211, 7369, 44779, 874, 54260, 1211, 67826, 21733, 6, 148346, 2442, 75230, 2882, 2200, 6, 238144, 148346, 2200, 16580, 83182, 874, 196353, 3069, 220224, 1211, 74, 6255, 151614, 148346, 123736, 148346, 6093, 6319, 54260, 1211, 874, 39083, 42493, 6, 148346, 23173, 4113, 4944, 13497, 5, 119718, 120467, 151614, 148346, 6255, 6235, 4852, 39083, 2882, 21776, 4944, 171428, 32, 6255, 151614, 148346, 54745, 1211, 241304, 1211, 6235, 506, 40096, 32, 6255, 151614, 148346, 54745, 1211, 6, 75322, 39083, 7746, 9213, 148346, 6093, 195054, 54260, 98833, 4, 199145, 6255, 151614, 148346, 132025, 139449, 32, 6255, 151614, 148346, 6235, 506, 40096, 192183, 65848, 35596, 1211, 4, 6, 128540, 3056, 220224, 6093, 85858, 8903, 159696, 56880, 5, 8947, 56170, 29659, 54260, 2882, 7746, 4, 36324, 220224, 151614, 148346, 6255, 6235, 8903, 148346, 1211, 4838, 17824, 13159, 53414, 74813, 3149, 163139, 6255, 151614, 148346, 6, 21106, 54260, 1211, 6, 139449, 5, 9213, 119718, 120467, 32, 119055, 10705, 235466, 18225, 3069, 304, 8659, 8300, 39083, 1211, 32, 65146, 18225, 1751, 16932, 4944, 12483, 4, 163139, 35189, 4838, 85858, 1644, 4, 4838, 3523, 54260, 4113, 9934, 93704, 174121, 48253, 65482, 45495, 24621, 4, 6, 119132, 81444, 2200, 657, 174121, 6428, 99766, 292, 620, 52480, 2865, 59094, 4, 29434, 54260, 7746, 38, 364, 120467, 4852, 18167, 95455, 620, 52480, 2865, 59094, 4838, 874, 39083, 6, 190135, 2200, 6255, 151614, 148346, 42493, 6235, 506, 40096, 3069, 8300, 39083, 1211, 84475, 3069, 6, 128540, 4, 6, 148346, 8580, 6255, 23050, 78651, 6235, 119718, 29766, 1211, 5, 4151, 133933, 905, 134067, 3056, 8903, 148346, 7972, 148346, 1211, 56170, 4838, 210228, 6, 148346, 54260, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 2200, 6255, 151614, 148346, 6235, 101296, 4944, 57277, 162726, 64190, 5, 14856, 37826, 564, 18167, 4838, 46590, 905, 42493, 3523, 54260, 46545, 6235, 2648, 23173, 23741, 4, 119055, 29766, 46598, 4151, 4852, 21106, 171433, 142429, 59929, 13845, 37826, 6235, 192575, 2882, 6, 35596, 59919, 1211, 84475, 4151, 6, 170355, 203749, 3056, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 5, 292, 26612, 4231, 29766, 206105, 2200, 9424, 119718, 48904, 10918, 4484, 98252, 37826, 1470, 54260, 59461, 6235, 101296, 4944, 57277, 88911, 4, 8947, 37826, 6235, 506, 54260, 46053, 137, 2648, 120467, 6, 148346, 21292, 109316, 7544, 69106, 2004, 29434, 710, 49008, 37826, 7369, 8903, 3131, 145161, 77188, 76961, 2442, 1644, 54260, 115374, 4, 163139, 1470, 15907, 192956, 2442, 8248, 40920, 7746, 116618, 20308, 2648, 120467, 6, 148346, 710, 35044, 7544, 69106, 3069, 6, 148346, 26612, 104378, 4, 9424, 119718, 65689, 221895, 37826, 7369, 10676, 117902, 13982, 59929, 3131, 7682, 1470, 75230, 4667, 42493, 56170, 8903, 46053, 5, 163139, 8947, 37826, 6, 71577, 12130, 4, 37826, 7369, 205026, 95766, 1470, 75230, 2932, 6235, 506, 40096, 4, 119055, 29766, 46598, 6255, 151614, 148346, 205026, 6428, 99766, 1211, 120202, 8903, 3131, 22426, 18640, 21295, 36324, 75230, 119718, 710, 2205, 4838 ]

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

[ 145813, 710, 21847, 2200, 6, 148346, 8580, 230764, 10676, 22518, 54260, 148346, 6093, 220224, 6093, 6, 148346, 54260, 4852, 6235, 159696, 56880, 5, 168892, 151614, 148346, 220224, 1211, 88911, 36324, 75230, 84087, 874, 39083, 3523, 109316, 56880, 4, 6, 148346, 48350, 29771, 83182, 2702, 4, 119055, 10705, 8947, 506, 183512, 21295, 711, 4852, 18167, 268, 37640, 66293, 117902, 13982, 40096, 3131, 7682, 4, 36324, 6255, 6235, 20315, 20260, 125523, 182261, 4838, 3373, 4667, 34575, 29771, 33225, 1470, 75230, 2702, 67054, 54260, 29171, 5, 49920, 13342, 4, 6255, 119055, 13845, 8947, 124724, 22753, 183216, 4, 2205, 1470, 54260, 1211, 119718, 6, 172398, 6, 159696, 126934, 364, 53414, 163139, 4838, 3523, 83586, 6, 201237, 2882, 5, 10069, 3523, 83586, 37826, 7746, 4838, 6, 148346, 710, 35044, 1470, 75230, 2702, 8903, 506, 71616, 4, 110573, 10069, 95455, 52059, 6, 39083, 2932, 54260, 1211, 72577, 4, 2200, 37826, 132025, 8903, 506, 75230, 18406, 3069, 22753, 183216, 12, 35189, 117902, 13982, 40096, 3131, 7682, 17190, 148346, 2882, 163139, 4838, 17824, 75230, 101608, 364, 23173, 92500, 9934, 95494, 28726, 159696, 2882, 6, 99611, 6319, 54260, 1211, 182731, 2819, 26612, 4269, 48904, 64213, 166464, 22753, 2648, 2882, 4151, 193042, 87311, 119718, 23173, 4, 6093, 67882, 40920, 16175, 54260, 56170, 4151, 4269, 48904, 89930, 6, 159696, 21295, 152, 13159, 43649, 87442, 29434, 710, 49008, 4838, 17824, 75230, 101608, 21374, 69106, 4, 119718, 710, 36324, 75230, 3069, 112216, 8300, 71577, 12483, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 6093, 55242, 56169, 7746, 230764, 4151, 6428, 90848, 126968, 6, 148346, 2442, 54260, 2882, 4, 171433, 8903, 3131, 22426, 23173, 2882, 7265, 10676, 7508, 133671, 10069, 364, 172398, 112216, 2648, 148346, 29771, 88660, 2050, 4, 1285, 6, 131445, 9424, 79238, 80453, 54260, 2882, 4, 92500, 6, 238144, 4852, 2882, 4151, 6, 159696, 21295, 220224, 23269, 115825, 38249, 6, 24864, 966, 204403, 13982, 93704, 1211, 3069, 6, 101470, 3056, 4838, 17824, 75230, 2702, 21374, 69106, 4, 165592, 93704, 59929, 29060, 3131, 23269, 45495, 24621, 292, 4838, 1751, 54260, 1211, 6, 148346, 710, 35044, 7544, 69106, 106, 35189, 6, 148346, 21106, 4113, 148346, 120467, 230764, 4151, 48706, 48904, 42180, 42493, 230764, 6, 148346, 23173, 2932, 8903, 148346, 2442, 64260, 16667, 7265, 6, 88660, 21338, 213783, 5666, 29766, 95455, 3056, 6, 124470, 9719, 2648, 220224, 1211, 4269, 48904, 26394, 9934, 29766, 2932, 4, 119718, 710, 6, 148346, 92605, 177148, 18225, 4838, 9934, 21106, 171433, 4838, 45521, 28320, 12, 68558, 10676, 42542, 18225, 42493, 193178, 1285, 21374, 69106, 4, 219947, 29771, 6319, 54260, 1211, 9934, 21106, 171433, 4, 7243, 29771, 95455, 6, 148346, 710, 35044, 7544, 69106, 5, 10918, 364, 120467, 7369, 45521, 38054, 4, 21422, 37826, 7369, 42493, 4, 26612, 34076, 218241, 65146, 7369, 151614, 148346, 1211, 152, 26612, 115222, 17017, 4, 4838, 6, 148346, 6093, 29659, 1644, 83066, 2882, 7369, 7265, 4, 92500, 4838, 6, 148346, 54260, 47526, 1285, 3069, 23405, 3069, 1751, 29771, 148346, 1211, 6, 5, 20315, 2050, 132025, 105235, 1644, 6, 94741, 63020, 18225, 1470, 75230, 4667, 3069, 4151, 119166, 7611, 4, 13342, 3496, 71577, 1211, 230764, 30109, 16870, 15907, 4838, 6, 148346, 21292, 109316, 7544, 69106, 5, 148346, 54260, 4151 ]

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

[ 33718, 21106, 29060, 3056, 7369, 4838, 6, 148346, 65606, 26612, 97816, 1470, 75230, 33225, 220224, 59461, 3069, 22753, 64213, 2819, 149364, 17268, 51723, 4, 117902, 101296, 20315, 4, 4838, 4269, 48904, 26394, 3523, 21106, 183718, 6093, 17645, 4, 92500, 4838, 118473, 1644, 1285, 6, 148346, 29766, 2648, 3069, 41764, 54260, 1211, 4, 92500, 1751, 119718, 23173, 64213, 1285, 364, 29766, 292, 1285, 1751, 119718, 23173, 26394, 21374, 69106, 4, 2648, 120467, 6, 88660, 16803, 6, 21106, 8300, 218710, 4838, 11211, 148346, 3131, 6, 148346, 21292, 109316, 7544, 69106, 5, 95766, 4151, 364, 54260, 2050, 42542, 7369, 42493, 6, 148346, 1644, 54260, 148346, 1211, 4, 5666, 29766, 4838, 144532, 7201, 29766, 1211, 5, 2648, 120467, 6, 238144, 148346, 107776, 7369, 120202, 7265, 6, 148346, 12415, 119718, 22518, 54260, 148346, 1211, 4, 92500, 56170, 28726, 148346, 2882, 6, 148346, 54260, 6, 148346, 21106, 4113, 148346, 120467, 2882, 13159, 1285, 6, 101328, 61621, 5, 119718, 120467, 7369, 56170, 2648, 41595, 7265, 116618, 20308, 4, 7265, 21374, 69106, 292, 148346, 54260, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 6, 148346, 1644, 54260, 148346, 2882, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 2648, 120467, 6, 238144, 148346, 22753, 56169, 2205, 38087, 9134, 2205, 131397, 76776, 2702, 4, 92500, 56170, 39293, 56169, 230764, 1751, 148346, 609, 95455, 6, 148346, 60071, 2882, 2882, 31212, 145813, 48904, 63188, 74, 304, 10991, 148346, 54260, 70845, 165513, 54260, 2702, 117902, 2442, 16932, 4838, 4269, 48904, 26394, 10339, 59929, 4, 92500, 10339, 25046, 10918, 4484, 6, 148346, 905, 21338, 1751, 75322, 22426, 48904, 63188, 2819, 76776, 4, 3056, 8947, 6, 99611, 4838, 17824, 75230, 101608, 21374, 69106, 4, 165592, 75230, 1470, 75230, 2702, 13342, 148346, 25207, 183216, 95455, 6, 148346, 21292, 109316, 7544, 69106, 705, 2808, 75230, 2702, 13342, 148346, 25207, 183216, 6, 99611, 230764, 6, 238144, 148346, 2200, 114955, 4, 7511, 2882, 230764, 6319, 54260, 1211, 123736, 25207, 24621, 97121, 448, 74, 21106, 54260, 1211, 3069, 22753, 148346, 1211, 2205, 4151, 129165, 27105, 4, 6, 148346, 165592, 710, 83182, 4, 5666, 29766, 6, 75322, 39083, 4838, 506, 54260, 2050, 3069, 6, 104378, 230764, 66970, 104855, 448, 5, 68313, 95455, 6, 99611, 4838, 3523, 23173, 40697, 21374, 69106, 4, 165592, 75230, 1470, 75230, 2702, 13342, 148346, 25207, 183216, 95455, 6, 148346, 21292, 109316, 7544, 69106, 705, 2808, 75230, 2702, 13342, 148346, 25207, 183216, 230764, 160238, 1211, 230764, 6428, 90848, 126968, 2702, 4, 2808, 75230, 6293, 6319, 119273, 44779, 21422, 119859, 61621, 4, 112216, 22426, 9221, 120467, 1211, 4, 2808, 75230, 2702, 13342, 148346, 25207, 183216, 230764, 41764, 159993, 4, 230764, 116486, 126968, 2702, 4, 2808, 75230, 6293, 153, 5, 6255, 119055, 39083, 2882, 20033, 4269, 53414, 95455, 874, 75230, 1644, 56170, 31249, 120467, 1211, 711, 5666, 29766, 657, 29771, 62808, 7746, 2190, 74813, 53414, 3069, 220224, 1211, 21374, 69106, 4, 119718, 710, 36324, 75230, 7369, 6, 148346, 92605, 177148, 95455, 6, 148346, 710, 35044, 7544, 69106, 5, 26612, 3373, 226112, 17645, 142170, 3056, 6, 148346, 54260, 70845, 4838, 6235, 65939, 2882, 4, 165592, 7369, 37826, 133190, 6235, 8300, 54260, 4944, 13497, 230764, 4838, 6, 97634, 119718, 1644, 74, 6093, 3373, 226112 ]

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

[ 710, 13159, 4838, 6, 148346, 29060, 506, 75230, 4852, 4, 4838, 657, 165592, 23173, 13159, 4, 26612, 46590, 905, 10676, 6, 29631, 46598, 3120, 6, 148346, 17160, 292, 68558, 43649, 54260, 59461, 4, 6, 68558, 119055, 71577, 23269, 4, 6, 120467, 95455, 3056, 4838, 21374, 69106, 711, 92500, 6, 148346, 92605, 177148, 4151, 7201, 23173, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 506, 54260, 148346, 2882, 4151, 71612, 40096, 166198, 13845, 6, 68558, 3069, 22518, 54260, 12483, 152, 13159, 37826, 7746, 6235, 88660, 13497, 3131, 29060, 4151, 6, 49268, 218241, 4, 192575, 4151, 6, 170355, 203749, 142429, 174121, 1644, 6, 120467, 119718, 710, 13159, 95494, 710, 12483, 4, 92500, 4151, 117902, 13982, 40096, 3131, 7682, 4838, 177282, 75230, 23741, 159308, 34076, 218241, 5, 6093, 657, 75230, 23741, 163139, 35189, 230764, 4838, 6, 205416, 2932, 4, 67882, 40920, 163139, 35189, 4838, 119166, 7611, 4, 92500, 6, 148346, 92605, 177148, 4838, 9934, 93704, 174121, 48253, 23269, 4, 4838, 40026, 3131, 6, 148346, 710, 35044, 7544, 69106, 5, 304, 9323, 13159, 7508, 75230, 29659, 70845, 2205, 1285, 1470, 75230, 26, 61621, 3120, 4838, 34076, 218241, 95455, 23050, 21733, 24295, 5666, 5, 2702, 54260, 119055, 12483, 7369, 620, 29771, 17748, 4, 3373, 54260, 119055, 12483, 7369, 119055, 26612, 40920, 5, 22426, 90848, 36326, 142170, 4, 117902, 7511, 4852, 36326, 142170, 4, 657, 41595, 70845, 230764, 4151, 9424, 23174, 4, 22426, 90848, 4944, 57277, 119718, 39340, 4, 116486, 148346, 26612, 119718, 39340, 82563, 63532, 7746, 70845, 6, 148346, 54260, 76776, 40920, 5, 26612, 7213, 171665, 14303, 71180, 148346, 6093, 1644, 67882, 40920, 70845, 119055, 39083, 119718, 1644, 1285, 21374, 69106, 4, 35189, 3056, 230764, 117902, 2882, 29659, 8903, 21295, 206105, 6319, 137377, 7682, 13159, 7544, 69106, 5, 13159, 107776, 1470, 54260, 1211, 123736, 25207, 212915, 4, 95455, 6, 148346, 6093, 55546, 23050, 22426, 710, 56169, 4, 95766, 4838, 20632, 148346, 6093, 64310, 43649, 40096, 3069, 160238, 1211, 152, 144754, 4838, 657, 16870, 53414, 6319, 65689, 4, 1751, 75230, 1211, 120202, 23269, 7511, 56169, 4, 92500, 7265, 4838, 6, 88660, 148346, 12415, 34709, 3120, 6, 21106, 18415, 6, 101328, 61621, 5, 6093, 235466, 120202, 48706, 48904, 42180, 4, 95455, 3056, 6319, 54260, 1211, 21374, 69106, 4, 92500, 37826, 6, 99611, 2205, 115222, 3131, 65482, 4838, 6319, 137377, 125897, 7544, 69106, 5, 6093, 6, 26394, 22426, 93449, 4838, 133933, 905, 134067, 4, 99509, 6, 189098, 67826, 119718, 1644, 4, 3131, 119718, 23173, 7611, 2200, 7508, 75230, 2882, 2200, 6, 148346, 1644, 29771, 2200, 17824, 8580, 2819, 26394, 1644, 54260, 98833, 1470, 75230, 33225, 6, 147502, 292, 16175, 54260, 4838, 41764, 12415, 119718, 1644, 4, 92500, 4838, 6, 109636, 21733, 6, 59929, 89184, 78683, 208182, 78104, 146887, 5, 105515, 4838, 63259, 13159, 7265, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 7265, 6, 121740, 4, 7265, 21374, 69106, 4, 92500, 657, 54260, 29060, 6, 148346, 54260, 11265, 4151, 238144, 1644, 206105, 51453, 1644, 7544, 69106, 5, 6093, 6, 238144, 4852, 2882, 11265, 220224, 1211, 6, 38596, 40096, 15096, 39340, 4, 22753, 3056, 9213, 148346, 6093, 2932, 21660, 75230, 15388, 7265, 33718, 4667, 92500, 37826, 29434, 54260, 6, 148346, 71804 ]

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

[ 48253, 28726, 101608, 5, 2808, 24295, 238144, 29171, 292, 6, 113889, 4, 22639, 238144, 29171, 657, 176727, 4838, 113044, 292, 113889, 4, 6, 94741, 63020, 18225, 70845, 6, 148346, 26612, 119718, 29766, 171428, 6, 148346, 13159, 6093, 705, 6093, 37826, 56170, 1644, 75230, 61621, 1285, 14764, 35044, 292, 81444, 45223, 23741, 6319, 54260, 1211, 21374, 69106, 4, 10069, 6, 148346, 21106, 4113, 148346, 120467, 18415, 65146, 4151, 238144, 1644, 6235, 148346, 1211, 95455, 6, 148346, 21292, 109316, 7544, 69106, 5, 26612, 148346, 710, 7369, 37826, 7746, 133190, 6, 23173, 54260, 23405, 43178, 23173, 2882, 4, 119273, 7369, 1751, 75230, 1211, 230764, 6, 148346, 29766, 2932, 2819, 6093, 22753, 56169, 206105, 119055, 29771, 12984, 2200, 119055, 23173, 2882, 4, 148346, 15533, 8947, 6, 137218, 159696, 2882, 7746, 4838, 6, 205416, 2932, 5, 64260, 81444, 657, 75230, 23741, 7369, 2200, 67882, 40920, 1285, 21374, 69106, 4, 4944, 71577, 2882, 120202, 23822, 29060, 8903, 21295, 4838, 6, 148346, 21292, 109316, 7544, 69106, 5, 62635, 26612, 117902, 2882, 29659, 4, 4838, 16175, 92605, 36419, 4, 6, 78683, 30473, 239162, 119055, 21106, 2648, 4, 21106, 7611, 3056, 56170, 70845, 4838, 3373, 42695, 506, 4, 64260, 67882, 40920, 7369, 6319, 21106, 17645, 10676, 874, 99438, 6, 148346, 21106, 2648, 5, 21106, 4113, 151614, 148346, 1211, 56170, 70845, 874, 151461, 5, 26612, 148346, 710, 7369, 56170, 29659, 54260, 2882, 133190, 72577, 220224, 1211, 21374, 69106, 4, 506, 64260, 7369, 6319, 54260, 1211, 19024, 29400, 6, 99611, 159308, 6, 148346, 21292, 109316, 7544, 69106, 5, 2648, 120467, 88911, 1644, 3056, 20033, 72577, 2205, 4151, 6, 113889, 4852, 6, 23173, 54260, 1211, 5, 6255, 6, 148346, 8580, 4838, 46590, 41731, 13159, 18895, 148346, 2442, 6235, 119718, 29766, 1211, 4838, 24377, 22492, 4, 6, 238144, 1644, 8947, 37826, 230764, 20033, 220224, 6093, 6235, 22426, 59929, 2882, 4, 3496, 64260, 3131, 8947, 42542, 220224, 1211, 4, 36324, 7369, 37826, 205026, 220273, 7511, 2882, 2205, 22753, 49008, 8903, 506, 40096, 5, 1285, 199145, 22518, 54260, 148346, 1211, 151614, 148346, 1211, 1751, 75230, 1211, 215031, 34076, 7682, 4, 36324, 119055, 6093, 8947, 10184, 21295, 4852, 18167, 6235, 226112, 33225, 4, 3056, 230764, 220224, 1751, 57277, 24152, 6, 148346, 54260, 4852, 4, 123736, 17748, 2865, 39083, 220273, 2190, 112304, 34533, 5, 5666, 29766, 37640, 16747, 119273, 159696, 15388, 3056, 6, 109600, 95455, 88911, 1644, 3069, 7511, 7611, 6, 130991, 5, 3120, 6, 135542, 21660, 18415, 119055, 6093, 16932, 151614, 148346, 6255, 6235, 44478, 13497, 4838, 116618, 43590, 4, 220273, 6319, 54260, 1211, 117902, 13982, 93704, 7511, 2882, 3069, 6, 101470, 4, 2200, 160238, 2882, 4838, 117902, 13982, 40096, 3131, 7682, 3069, 220224, 1211, 5, 95455, 7544, 35044, 3056, 62808, 6235, 61541, 1211, 4, 364, 54260, 3111, 3069, 4269, 54260, 1211, 230764, 6, 205416, 23269, 2702, 133190, 19302, 29771, 46685, 29659, 48706, 48775, 3131, 12483, 4, 2200, 4151, 7201, 23173, 6, 101470, 120202, 23822, 29060, 8903, 21295, 5, 95455, 3056, 42493, 6319, 54260, 1211, 31249, 91595, 6093, 170513, 73136, 124470, 1211, 6, 94741, 40920, 7746, 4, 14856, 657, 54260, 13497, 6, 99611, 6, 23173, 54260, 1211, 2200, 874, 65482, 63532, 6, 23173, 75230, 2702, 711, 6255, 151614 ]

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

[ 148346, 205026, 4838, 657, 48904, 8903, 9424, 54260, 2882, 36324, 75230, 6235, 7916, 33716, 4, 6, 148346, 15533, 6255, 506, 29771, 148346, 9424, 119718, 65689, 1285, 117902, 13982, 40096, 3131, 7682, 13159, 8248, 14325, 6235, 159696, 56880, 73784, 6, 113889, 51723, 120202, 23822, 29060, 5, 5666, 29766, 45223, 23741, 5332, 22426, 13159, 41545, 24001, 14540, 4, 36324, 8947, 3056, 6, 148346, 26612, 3131, 77188, 1470, 54260, 1211, 29766, 4113, 212915, 3069, 220224, 1211, 705, 1285, 48706, 48904, 42180, 2702, 4, 1285, 6319, 29766, 46053, 2200, 95455, 21847, 54260, 12984, 21923, 1285, 7972, 55546, 292, 6255, 151614, 148346, 205026, 4838, 144532, 23269, 119718, 21106, 61397, 2702, 2205, 35189, 129165, 27105, 36324, 75230, 6, 71804, 23405, 4, 78278, 6255, 151614, 148346, 6, 148346, 26612, 104378, 4838, 45521, 44478, 4, 199145, 24621, 22444, 23741, 4838, 7544, 10705, 36419, 6, 113889, 4852, 4, 2200, 6, 148346, 8580, 4838, 506, 54260, 2050, 6235, 7201, 29766, 1211, 73784, 6, 238144, 148346, 74, 81444, 148346, 8580, 6255, 41764, 134193, 56170, 364, 17310, 6093, 74806, 205416, 148346, 1211, 2200, 14856, 37826, 20033, 6235, 101296, 4944, 57277, 6, 182078, 506, 230764, 6, 124470, 39248, 710, 30315, 5, 95455, 9213, 148346, 6093, 125897, 6, 238144, 126934, 1751, 75230, 1211, 6, 21106, 54260, 1211, 4, 18133, 506, 120467, 2882, 81444, 4667, 20033, 874, 54260, 1211, 198754, 6235, 80264, 5, 62808, 6, 94741, 40920, 7746, 4, 6255, 6, 148346, 8580, 1751, 75230, 1211, 874, 54260, 16667, 120202, 130991, 2200, 119055, 13845, 1751, 75230, 1211, 46685, 42493, 82679, 1644, 100863, 119055, 53414, 5, 6255, 151614, 148346, 205026, 4, 34076, 75230, 148346, 20033, 4, 117902, 13982, 59929, 3131, 7682, 238144, 4852, 132025, 8903, 11556, 153222, 2882, 4, 36324, 4838, 46590, 905, 17741, 148346, 36609, 506, 228605, 37826, 18225, 20033, 1470, 75230, 4667, 3131, 75230, 1211, 74806, 135118, 2882, 5, 18133, 55242, 16803, 81444, 4667, 6, 21106, 54260, 1211, 4, 36324, 1470, 54260, 35189, 18133, 151614, 16803, 6, 146598, 2357, 418, 2932, 64260, 17410, 200117, 93497, 6, 159696, 24152, 4, 6, 148346, 141943, 1995, 40893, 109636, 710, 13159, 4838, 117902, 2442, 6, 110129, 20260, 6, 148346, 90848, 5666, 33225, 3069, 6, 80264, 4, 6, 148346, 8580, 6255, 1751, 75230, 1211, 6, 23173, 75230, 2702, 37640, 16667, 100378, 4667, 86270, 2702, 364, 35596, 2200, 6, 148346, 8580, 1751, 75230, 1211, 81444, 5, 44855, 13515, 124470, 2050, 37826, 18225, 20033, 3131, 75230, 1211, 76961, 2702, 7038, 30946, 6235, 159696, 56880, 2200, 6255, 119055, 13845, 6, 148346, 21106, 2648, 220224, 1211, 2205, 113524, 16870, 1211, 5, 168892, 119055, 39083, 2882, 1751, 75230, 1211, 220224, 6093, 4269, 53414, 6428, 99766, 6235, 159696, 56880, 4, 6, 238144, 1644, 6255, 6, 148346, 8580, 74806, 205416, 148346, 1211, 220224, 6093, 364, 17310, 6093, 7682, 4, 6428, 99766, 119055, 13845, 6255, 151614, 148346, 1211, 3069, 8947, 1211, 2200, 3069, 65848, 20260, 12483, 5, 133190, 8947, 6319, 68558, 81444, 1211, 220224, 1211, 4, 36324, 6255, 151614, 148346, 220273, 4838, 186421, 4, 23165, 3056, 2648, 120467, 133190, 133190, 1470, 75230, 4667, 1470, 54260, 1211, 116618, 43590, 37640, 5666, 7201, 41545, 4667, 86270, 4, 205026, 19302, 29771, 46685, 3131, 57277, 506, 54260, 2050, 3069, 6, 212484, 1211, 2200 ]

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

[ 4151, 113889, 4667, 205026, 163139, 35189, 4838, 3496, 71577, 3069, 6, 80264, 2200, 5332, 22426, 13159, 95766, 4838, 3523, 54260, 46598, 6, 100863, 3111, 1644, 6, 23173, 54260, 57619, 140354, 38249, 292, 1470, 75230, 148346, 95455, 3056, 36324, 75230, 4, 6, 225975, 6255, 79761, 3069, 4, 7746, 125523, 6, 137218, 159696, 1211, 3069, 6428, 54260, 23269, 1470, 54260, 29171, 44779, 125523, 4838, 3373, 4667, 6, 101328, 61621, 2200, 4852, 54260, 3069, 4151, 8300, 54260, 67873, 4, 199145, 119055, 29060, 6, 238144, 101608, 7265, 20033, 160238, 2932, 54260, 1211, 5, 657, 14236, 14236, 31467, 506, 506, 64260, 1285, 6, 104038, 1470, 54260, 1211, 6, 37016, 4, 2200, 18133, 4269, 54260, 4838, 506, 54260, 2050, 2200, 22518, 54260, 148346, 76961, 96743, 75230, 6293, 36324, 75230, 163139, 6255, 151614, 148346, 124724, 4151, 8300, 54260, 21295, 4, 110573, 10069, 76961, 115374, 170479, 1211, 13159, 17190, 56880, 4, 6, 97634, 46685, 119055, 29060, 7746, 37922, 21660, 6093, 4838, 37640, 49268, 6, 23173, 75230, 2702, 101470, 4, 6, 97634, 46685, 159696, 2882, 7746, 132025, 3131, 22426, 710, 21847, 12483, 4838, 118439, 1644, 4, 199145, 67882, 40920, 10676, 25093, 31467, 8580, 6, 110317, 13929, 4, 4838, 3149, 56880, 4, 199145, 67882, 40920, 3120, 4838, 36845, 178303, 4838, 114502, 4, 4838, 6, 148346, 13845, 57277, 13805, 4113, 4, 119718, 120467, 6, 148346, 23173, 26612, 148346, 4113, 159696, 2882, 6, 29766, 52480, 13845, 54260, 2882, 4, 4838, 46050, 46545, 6093, 4, 4838, 81444, 20911, 29766, 4, 4838, 6, 148346, 13845, 54574, 119718, 43590, 4, 4838, 117902, 13982, 40096, 3131, 7682, 4, 199145, 6, 215629, 7746, 620, 91595, 230764, 4, 6, 97634, 46685, 6, 159696, 67873, 4852, 54260, 7746, 4838, 144532, 98055, 1211, 4, 36324, 220224, 3523, 54260, 12483, 2205, 4838, 620, 91595, 1211, 6, 159696, 2932, 2200, 6, 159696, 67873, 7746, 148346, 13159, 53414, 292, 6, 159696, 67873, 20033, 6, 148346, 54260, 20315, 4838, 6, 68566, 36419, 32532, 119718, 506, 151614, 148346, 1211, 2200, 4151, 157511, 159696, 2882, 194706, 6, 148346, 54260, 29659, 54260, 1211, 4, 124724, 230764, 4151, 6, 159696, 21295, 4, 2200, 20033, 230764, 4231, 114436, 159696, 75386, 4, 2200, 230764, 4151, 7369, 2648, 6, 159696, 67873, 1470, 75230, 4667, 6, 238144, 29171, 6093, 220224, 1211, 3523, 122868, 86458, 5, 292, 2357, 304, 8300, 119718, 65689, 4269, 64260, 1644, 29771, 148346, 93497, 3944, 35189, 6235, 7916, 13497, 7746, 1470, 75230, 4667, 4838, 88911, 4, 6235, 13982, 905, 20911, 95766, 119055, 23173, 36326, 159696, 2442, 137, 54260, 2648, 40697, 1211, 6319, 21106, 141943, 23173, 2004, 159308, 6, 113889, 51723, 4838, 137, 210423, 7972, 2648, 2004, 13159, 37826, 6, 99611, 241997, 6, 23173, 54260, 5666, 104378, 2205, 10676, 32887, 152194, 5, 26612, 6, 210423, 7972, 2648, 5, 21847, 54260, 148346, 2882, 20033, 3496, 26, 28726, 148346, 1211, 4, 165592, 95455, 17190, 148346, 1211, 21066, 15907, 23050, 3131, 119718, 41595, 2200, 3523, 18167, 4838, 159696, 4484, 74, 30473, 148346, 21660, 7682, 4231, 23173, 119718, 120467, 21923, 3523, 23173, 4, 26612, 4944, 10918, 4484, 151614, 148346, 1211, 1470, 75230, 4667, 6, 47351, 6, 37016, 12, 92500, 14856, 235466, 6, 99611, 69355, 4151, 6, 159696, 75386, 7265, 7511, 2882, 6319, 54260, 1211, 110573, 61722 ]

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

[ 4, 42493, 6319, 54260, 1211, 6235, 75386, 5, 4852, 18167, 6, 148346, 92605, 44478, 1211, 4, 148346, 13159, 6093, 119055, 53414, 68313, 95455, 6, 148346, 13159, 36419, 230764, 4151, 6, 159696, 21295, 5, 101296, 40920, 42493, 4, 6, 148346, 12415, 35189, 4, 4484, 54260, 1211, 6235, 12415, 35189, 4, 21066, 21292, 42493, 4, 657, 75230, 23741, 42493, 4, 6, 101328, 98833, 42493, 125523, 10676, 34076, 7682, 74, 119718, 120467, 16175, 75230, 2932, 8947, 54745, 1211, 1470, 54260, 4667, 4, 165592, 14856, 3056, 1751, 75230, 1211, 220273, 7508, 54260, 4667, 4, 192575, 18225, 6, 212484, 1211, 199145, 14856, 37826, 98252, 74, 238144, 1644, 18225, 23050, 36258, 42493, 7265, 148346, 2884, 4151, 6, 159696, 75386, 7265, 1470, 165592, 155, 119718, 5, 92500, 18133, 4, 199145, 17190, 164863, 16803, 4852, 54260, 6093, 7369, 16667, 2882, 4, 148346, 34533, 1751, 75230, 1211, 6, 57277, 39340, 1470, 75230, 111137, 21733, 77188, 4, 4852, 39083, 126934, 163139, 46053, 4, 165592, 6, 68558, 6235, 119718, 21292, 1211, 506, 64260, 1285, 9174, 66362, 1470, 75230, 4667, 6319, 54260, 1211, 119055, 77188, 4, 238144, 1644, 14856, 235466, 6, 99611, 7265, 4, 69355, 4151, 6, 159696, 75386, 7265, 1470, 165592, 155, 119718, 5, 119718, 120467, 107776, 6, 23173, 75230, 2702, 4, 165592, 14856, 17190, 189583, 1470, 75230, 2702, 81860, 448, 4, 6, 148346, 710, 104238, 4, 9174, 97728, 76961, 2442, 7972, 92500, 9424, 119718, 65689, 657, 54260, 2882, 95766, 4838, 58571, 89930, 9424, 54260, 2882, 101296, 40920, 18225, 4838, 6235, 46590, 35189, 4, 4838, 6235, 25391, 54260, 32, 165592, 14856, 235466, 42493, 69355, 4151, 6, 159696, 21295, 7265, 7511, 2882, 6319, 54260, 1211, 110573, 61722, 4, 42493, 6319, 54260, 1211, 6235, 75386, 5, 4852, 18167, 6, 148346, 92605, 44478, 1211, 4, 148346, 13159, 6093, 119055, 53414, 68313, 95455, 6, 148346, 13159, 18415, 230764, 4151, 6, 159696, 21295, 5, 37271, 35189, 119055, 23173, 83957, 159696, 2442, 6, 54260, 2648, 152185, 78683, 50853, 16747, 29766, 2004, 6, 124470, 164863, 155, 2808, 5, 159696, 15388, 76961, 6428, 40096, 13159, 3120, 1285, 3944, 35189, 292, 55242, 6, 148346, 5, 106, 1470, 5, 6, 148346, 5, 4269, 120467, 1644, 29771, 148346, 6093, 2200, 220224, 1211, 5332, 204403, 107581, 4, 9934, 155, 710, 80016, 2451, 73073, 4, 136786, 292, 138, 15620, 2648, 120467, 88911, 137, 10069, 6, 119038, 506, 6428, 54260, 48253, 1211, 155, 119055, 77188, 6, 148346, 54260, 4269, 120467, 1644, 29771, 148346, 53414, 4838, 117902, 70598, 39083, 132025, 8903, 225164, 137, 65442, 17188, 6428, 54260, 48253, 2909, 55242, 10676, 67882, 16932, 710, 21106, 4, 199145, 4269, 120467, 1644, 29771, 148346, 6093, 6, 148346, 189623, 98833, 874, 171665, 15662, 10676, 4, 6, 148346, 5, 106, 4, 9934, 5, 138, 20773, 3120, 10676, 81444, 4852, 133671, 88911, 37826, 113889, 21338, 29771, 148346, 6093, 6, 172060, 148346, 105330, 54196, 6, 148346, 1644, 75230, 4852, 4838, 10339, 48775, 2932, 96302, 5, 2357, 910, 16870, 120467, 88911, 137, 2648, 120467, 6, 148346, 21292, 109316, 7544, 69106, 155, 37826, 7369, 74806, 12415, 148346, 1211, 119055, 29766, 3131, 54260, 5666, 44779, 2205, 1285, 1112, 75290, 6, 101328, 61621, 4, 6, 47351, 118076, 4, 543, 4633, 2451, 1819, 9271, 4, 6, 238144, 1644, 2205 ]

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

[ 37271, 20315, 2050, 34076, 39478, 155, 22518, 54260, 148346, 2882, 7369, 12, 137, 7201, 23173, 4838, 4231, 29766, 206105, 2200, 9424, 119718, 48904, 10918, 4484, 72631, 7682, 37826, 1470, 54260, 59461, 6235, 101296, 40920, 4838, 88911, 137, 2648, 120467, 6, 148346, 21292, 109316, 7544, 69106, 2004, 2200, 36324, 75230, 119718, 710, 4151, 184639, 120202, 2648, 55049, 3120, 137, 21847, 3111, 1644, 155, 3056, 6235, 159696, 1211, 2205, 137, 50931, 2865, 223762, 155, 159983, 2451, 29659, 710, 63532, 8947, 28415, 238144, 29171, 6093, 7265, 4151, 6428, 174121, 5, 159696, 15388, 137, 20315, 2050, 6428, 87442, 31212, 155, 2451, 39293, 6, 148346, 5, 106, 4, 9934, 155, 4852, 12, 496, 966, 2451, 119527, 5, 81444, 3056, 117578, 13159, 84577, 3069, 6, 148346, 25207, 183216, 10676, 123736, 215206, 24295, 21106, 3120, 10676, 4838, 113889, 16667, 6, 159696, 15388, 10676, 37271, 104038, 2648, 87442, 31212, 2004, 137, 506, 148346, 156270, 34482, 155, 6, 124470, 2442, 7972, 4, 157313, 4, 6, 148346, 710, 10813, 116, 4, 3523, 12, 37271, 506, 76632, 874, 210326, 10213, 54574, 364, 99915, 448, 1751, 81860, 137, 35189, 6428, 87442, 31212, 155, 84475, 37271, 8300, 238144, 2882, 33414, 21527, 2205, 1470, 54260, 1211, 112389, 2882, 155, 564, 106672, 54678, 609, 76526, 30741, 120972, 4, 9915, 2648, 17748, 1982, 119718, 23173, 83957, 5332, 155, 710, 58826, 39293, 6293, 119055, 6093, 17160, 54260, 208182, 2808, 32573, 64991, 3523, 5, 6428, 5, 22753, 2702, 75578, 2932, 4, 3944, 161618, 4, 4892, 179038, 905, 2339, 5855, 75179, 20560, 28938, 4, 66495, 23917, 133632, 6072, 169591, 1644, 10813, 191774, 710, 1470, 29025, 3111, 364, 99915, 448, 113534, 448, 1054, 29771, 158894, 3944, 8009, 448, 7183, 20308, 27764, 2808, 25491, 34537, 3131, 23741, 8947, 17288, 97584, 6, 166617, 178116, 6, 137351, 81179, 155, 506, 211055, 6, 76526, 54698, 895, 62812, 710, 25381, 2050, 2568, 51437, 15750, 66293, 4112, 10705, 4, 4074, 5332, 119718, 1211, 212067, 2712, 4, 2376, 15750, 16629, 905, 101328, 101080, 2909, 37271, 35189, 3373, 54260, 2050, 2909, 37271, 35189, 3373, 54260, 2050, 155, 37826, 6235, 506, 40096, 9424, 238144, 105884, 92605, 42180, 2702, 12, 10676, 7369, 29659, 1211, 101296, 68380, 84316, 22426, 2882, 37826, 6, 148346, 54260, 4269, 64260, 1644, 29771, 148346, 53414, 1470, 54260, 59461, 1470, 75230, 2702, 8903, 76776, 33716, 2200, 7369, 68313, 56170, 1644, 29766, 1211, 6235, 119718, 29766, 1211, 74, 10676, 9424, 238144, 28320, 67882, 68380, 84316, 22426, 2882, 37826, 4269, 64260, 1644, 29771, 148346, 6093, 2808, 75230, 2702, 8903, 148346, 13159, 77188, 2200, 120202, 8903, 13982, 905, 20911, 194, 4838, 220224, 6093, 117578, 13159, 84577, 1211, 67882, 16932, 710, 21106, 1639, 20033, 6, 234221, 56170, 3496, 23173, 92605, 101608, 21292, 2702, 13456, 3069, 6, 199511, 1285, 10339, 39083, 2932, 213952, 4113, 21776, 26394, 54561, 17645, 230764, 137, 20315, 2050, 3373, 54260, 2050, 155, 3120, 4269, 120467, 1644, 29771, 148346, 93497, 19550, 27909, 1470, 5, 145115, 6093, 148346, 75230, 2050, 4, 1470, 54260, 23269, 3120, 10069, 200795, 21776, 26394, 54561, 710, 13159, 2205, 4151, 6, 54260, 2648, 152185, 3944, 16932, 40096, 14303, 57588, 4, 119055, 13845, 107581, 3056, 6235, 13982, 905, 20911, 2205, 137, 50931, 874, 223762, 611, 11540, 4, 20632, 2865 ]

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

[ 26, 24645, 9934, 26, 43137, 4, 1470, 155, 710, 137, 9183, 2648, 40697, 12023, 17160, 101328, 23847, 110856, 4113, 155, 37271, 35189, 73095, 448, 3120, 6, 148222, 17741, 850, 155, 15, 13342, 178766, 181158, 75230, 53414, 4, 3056, 564, 54260, 2808, 194706, 22639, 101608, 4151, 506, 104274, 45521, 93509, 119718, 710, 16747, 12483, 6235, 119718, 29766, 12483, 95455, 12023, 4944, 13845, 4, 199145, 4151, 134607, 37826, 194706, 6235, 8903, 1982, 12483, 4, 4151, 88680, 63864, 51437, 54260, 1644, 12483, 20033, 6, 156325, 6428, 13159, 1470, 54260, 16747, 55049, 4, 199145, 8947, 37826, 230764, 194706, 23050, 2865, 115536, 564, 54260, 2050, 17190, 104149, 2190, 5666, 142430, 159696, 15388, 10676, 4, 163139, 1470, 75230, 4667, 6, 159696, 15388, 10676, 88911, 137, 2648, 120467, 167048, 54260, 17017, 159308, 6319, 71577, 13845, 75230, 2004, 199145, 3056, 657, 72507, 56170, 7201, 21106, 1211, 6235, 119718, 29766, 1211, 15, 39293, 6, 159696, 15388, 4151, 3523, 77928, 40377, 73381, 2884, 10676, 88911, 137, 2648, 120467, 167048, 54260, 17017, 159308, 6319, 71577, 13845, 29260, 155, 6, 148346, 5, 106, 4, 9934, 5, 496, 910, 2451, 363, 112834, 8903, 7916, 49008, 20033, 2205, 10676, 4838, 113889, 16667, 12, 137, 50931, 874, 223762, 2004, 184007, 4, 20632, 2865, 5, 201, 4, 9934, 5, 15554, 37271, 32829, 12041, 155, 2050, 7501, 874, 210326, 5950, 28726, 43057, 131445, 448, 4, 6150, 119055, 12483, 8947, 119055, 29060, 22753, 2808, 63593, 710, 89930, 6, 199511, 3069, 29434, 7682, 12483, 6, 29060, 119718, 46646, 6, 156325, 874, 54260, 23269, 6, 54260, 2648, 40697, 119055, 6093, 39340, 8903, 25391, 16011, 12483, 22639, 26, 2050, 6, 163177, 48340, 68558, 4, 170479, 1644, 12483, 220224, 2808, 42493, 29434, 7682, 12483, 3373, 54260, 20315, 1211, 4231, 114436, 159696, 2882, 151614, 1982, 12483, 3069, 6, 238144, 104149, 110573, 62763, 48099, 121407, 6, 156325, 20033, 7265, 874, 54260, 1211, 77756, 31529, 5, 6255, 88660, 91163, 12483, 54745, 1211, 6, 92178, 13845, 5, 2451, 20961, 4852, 5, 194, 95455, 3056, 1470, 97995, 75230, 2702, 6235, 10069, 40920, 15, 2808, 64890, 69106, 12023, 4944, 13845, 16, 3120, 364, 26, 1470, 5, 1982, 5, 3523, 120467, 35044, 29771, 75578, 4, 6235, 13982, 116367, 2205, 10676, 6, 101328, 46244, 2205, 22753, 2702, 29771, 62808, 5, 81444, 20033, 2648, 74806, 710, 12666, 93497, 4, 75230, 2808, 6, 148222, 17741, 850, 6, 104378, 7746, 3069, 22492, 75230, 6293, 2205, 119055, 21106, 2648, 6, 159696, 54574, 12483, 1470, 6, 145146, 4, 1470, 15907, 149010, 17741, 506, 3131, 21087, 22426, 2882, 7746, 3069, 10676, 6, 20616, 25207, 22492, 63532, 4, 105884, 2882, 7746, 1470, 54260, 1211, 5950, 1644, 54260, 1211, 22639, 6, 238144, 1644, 10676, 44917, 57619, 12483, 111215, 1470, 54260, 50856, 16870, 12483, 4, 6150, 133190, 22753, 2808, 3056, 45521, 506, 24295, 4, 22753, 2808, 3056, 4151, 7544, 15662, 2702, 4, 22753, 2808, 6, 59919, 10069, 172398, 8903, 159696, 506, 21295, 3069, 220224, 1211, 5, 95455, 3056, 1470, 3373, 26632, 9221, 40697, 160238, 105235, 1644, 17310, 4, 2205, 119055, 13845, 104238, 8947, 6319, 43178, 49008, 4852, 18167, 132025, 123083, 21847, 12483, 10184, 13845, 217284, 40697, 66616, 81925, 4, 163139, 2808, 1470, 15907, 149010, 2442, 6, 219928, 15907, 7746, 3069, 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 ]

[ 16932, 8580, 67223, 14004, 4, 6, 100863, 46646, 23269, 4, 6, 90848, 23093, 28714, 49209, 4, 48706, 23173, 120467, 96256, 228830, 87680, 217284, 40697, 5816, 83811, 26, 1211, 4, 148932, 874, 41595, 4, 6319, 54260, 1211, 17288, 104238, 2702, 2190, 5666, 564, 13159, 2702, 93497, 2205, 15622, 111398, 2190, 5666, 2205, 9174, 66362, 3056, 220273, 6, 99611, 2648, 29771, 2205, 4151, 44917, 57619, 6093, 43649, 142429, 2882, 5, 133190, 2205, 6, 148222, 105884, 5950, 1644, 54260, 1211, 4, 163139, 2808, 148932, 21776, 4944, 172398, 2808, 75230, 2702, 220224, 23269, 48277, 850, 4, 138980, 63532, 19532, 75230, 2702, 7746, 5950, 1644, 54260, 1211, 33414, 4852, 4484, 2190, 5666, 1751, 145161, 77188, 5950, 28726, 22753, 23269, 221585, 15050, 5, 177274, 17741, 506, 6, 65606, 63532, 7746, 7265, 10676, 4, 1054, 120467, 22753, 2808, 24012, 56169, 70845, 217284, 40697, 1211, 17190, 1982, 12483, 4, 35189, 2882, 54260, 1644, 163139, 38054, 81444, 160238, 190135, 5950, 28726, 43649, 850, 448, 2190, 5666, 45521, 506, 44478, 2205, 6, 148222, 15622, 54260, 3131, 48350, 15907, 119364, 6, 59919, 21733, 54260, 20315, 2882, 19302, 29771, 46685, 29659, 2205, 48277, 850, 5, 8947, 3056, 54803, 1470, 874, 54260, 82576, 3131, 150541, 4, 39293, 46244, 4269, 54260, 34575, 54260, 4667, 4, 163139, 2702, 147455, 4, 77014, 115398, 13456, 2190, 5666, 31807, 20616, 25207, 16747, 6681, 10676, 10339, 39083, 4484, 5, 44064, 35189, 77208, 42493, 1470, 75230, 4667, 1470, 221067, 1211, 6, 69096, 1470, 75230, 6, 238144, 4852, 2882, 4, 6150, 125523, 174162, 13159, 55242, 129891, 6, 148222, 17741, 850, 7201, 99766, 19302, 905, 59461, 6, 156325, 6, 148222, 14856, 110970, 12483, 5, 9356, 68173, 1211, 138980, 36258, 81444, 4667, 77014, 16580, 1470, 75230, 2702, 895, 7916, 62763, 3149, 64260, 3131, 18225, 115222, 49209, 5950, 28726, 45521, 506, 44478, 6, 156325, 6, 148222, 43649, 142429, 2882, 23093, 905, 93497, 4, 6, 156325, 54745, 80885, 4113, 8903, 1211, 6, 81050, 51723, 220224, 2808, 43649, 186797, 19532, 75230, 2702, 564, 54260, 2808, 6, 148222, 163139, 1982, 29766, 21292, 6, 156325, 1470, 75230, 1982, 12483, 4, 2190, 5666, 564, 54260, 2808, 17741, 850, 37826, 51723, 51963, 123736, 1982, 8903, 64044, 2702, 18640, 2702, 2190, 5666, 18225, 3056, 6235, 90536, 1982, 12483, 564, 54260, 2050, 657, 54260, 1982, 4, 199145, 3056, 132025, 8903, 3111, 2865, 51723, 64044, 10676, 165513, 20961, 13805, 96986, 4, 19302, 143840, 2702, 12483, 2190, 5666, 1751, 172398, 96986, 130170, 6, 148222, 17741, 850, 4, 7369, 6, 238144, 16803, 4852, 18167, 1470, 160204, 132025, 13342, 8903, 1982, 12483, 2190, 5666, 45521, 93509, 36419, 506, 2882, 3069, 6, 189623, 63188, 12483, 4, 3069, 564, 77928, 2882, 26394, 1211, 220224, 1211, 71107, 5, 35189, 134607, 1470, 75230, 95455, 6235, 10069, 40920, 6, 141353, 55823, 1211, 1470, 54260, 2932, 35596, 32792, 6319, 54260, 1211, 13515, 66362, 4, 364, 26, 4269, 137377, 21338, 29771, 75578, 3056, 1751, 75230, 1211, 14856, 46244, 6, 156325, 496, 6, 101328, 46244, 564, 37016, 112711, 13497, 6681, 1470, 17824, 75230, 2702, 12483, 1285, 4944, 16932, 70845, 506, 87309, 4113, 179625, 12483, 15, 103854, 220224, 23269, 119055, 6093, 39340, 4, 199145, 7369, 364, 59929, 1751, 75230, 1211, 41764, 710, 109316, 6235, 13982, 116367, 4 ]

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

[ 6235, 10069, 4944, 18415, 2190, 5666, 6235, 28726, 46244, 18415, 74330, 247, 1470, 75230, 4667, 187055, 117641, 13805, 10069, 40377, 6093, 70845, 6, 163177, 48340, 68558, 5, 220224, 151227, 17645, 35189, 6, 201237, 2882, 18225, 6, 156325, 6, 143409, 2205, 6, 119859, 69106, 10339, 75230, 1644, 12483, 2190, 5666, 10676, 73095, 448, 151614, 1982, 12483, 10184, 13845, 123736, 1982, 110763, 115518, 6235, 8300, 119718, 2808, 109226, 3069, 67882, 4944, 12483, 6, 148222, 18330, 65742, 192556, 20616, 4, 6, 238144, 1644, 65790, 14945, 13982, 93449, 18225, 55242, 46244, 10184, 13845, 22639, 26, 2050, 9934, 56914, 113889, 1211, 292, 2190, 5666, 874, 54260, 23269, 119055, 6093, 39340, 6235, 7916, 7511, 12483, 7746, 59450, 221219, 69715, 564, 54260, 2808, 10184, 13845, 14856, 110970, 12483, 4, 10213, 905, 29771, 83182, 2702, 15864, 4667, 6255, 4852, 54260, 2808, 1470, 75230, 7201, 46685, 4484, 170355, 2050, 230764, 9424, 238144, 2882, 194170, 12, 1470, 16, 4151, 73095, 21292, 84475, 6, 148222, 46646, 36677, 3120, 19024, 17741, 850, 4, 564, 16, 95455, 167048, 54260, 24621, 1644, 7265, 10676, 60980, 22426, 710, 128117, 4, 238144, 1644, 1285, 4113, 39293, 1470, 54260, 23269, 106, 148346, 54260, 20315, 1211, 37826, 1470, 54260, 59461, 564, 54260, 2882, 20033, 6235, 3111, 2865, 51723, 2190, 22492, 54260, 35189, 7369, 37826, 20033, 6681, 55242, 6235, 36723, 76216, 21295, 66806, 20635, 3056, 7369, 23050, 78651, 8903, 119718, 29766, 8580, 4, 2200, 58308, 10367, 142196, 6, 238144, 1644, 7369, 220224, 2882, 29434, 7682, 12483, 42493, 58308, 167399, 24390, 4, 119718, 120467, 20033, 151614, 1982, 12483, 6235, 506, 15907, 4, 6255, 151614, 1982, 1470, 30682, 42493, 6235, 8903, 1982, 12483, 6319, 54260, 1211, 69529, 23269, 25391, 17645, 1982, 12483, 15, 35189, 134607, 37826, 1470, 30682, 6681, 10676, 29434, 7682, 12483, 10184, 13845, 10213, 20961, 1982, 54260, 2702, 29060, 4, 6, 59919, 155, 24621, 506, 33716, 2190, 5666, 10339, 139365, 13159, 2702, 77188, 194, 133190, 2205, 4231, 114436, 9424, 54260, 2702, 3056, 21776, 2050, 134607, 42493, 6, 48904, 8903, 29659, 112711, 49008, 3069, 29434, 7682, 12483, 220224, 23269, 657, 17645, 35189, 2190, 5666, 23050, 10069, 40377, 4113, 4, 187055, 111616, 4113, 2808, 152185, 134607, 147582, 51220, 2808, 90848, 1982, 145168, 12483, 230764, 32054, 120467, 2702, 6, 54260, 10069, 3131, 5, 78278, 4151, 9934, 56914, 16667, 1211, 3056, 1470, 75230, 111137, 25207, 40377, 6235, 119718, 29766, 8580, 103854, 1470, 6, 119859, 39293, 18415, 4, 241662, 151614, 1982, 12483, 7746, 10184, 109316, 7369, 3131, 2702, 101251, 23269, 98055, 2882, 4, 6150, 7265, 10676, 106672, 196991, 18225, 10184, 13845, 163139, 24152, 12483, 4, 2190, 5666, 6, 148222, 6, 159696, 21295, 4, 1470, 75230, 4667, 364, 26, 4269, 120467, 35044, 29771, 75578, 4, 55242, 129891, 2808, 75230, 7201, 46685, 215052, 34322, 6235, 119718, 29766, 8580, 4, 199145, 6681, 1470, 163139, 24152, 17310, 220224, 23269, 217284, 40697, 657, 17645, 35189, 151614, 1982, 12483, 230764, 35189, 1470, 75230, 2702, 44693, 2648, 17310, 6, 105780, 26, 2050, 10339, 39083, 4484, 2190, 5666, 6, 238144, 75578, 5, 95455, 364, 59929, 1751, 75230, 1211, 10213, 46685, 20911, 1470, 54260, 59461, 156325, 178766, 4113, 6319, 23173, 13159, 7201, 29771, 16747, 35596, 12483, 15, 62808, 7369, 2808, 127684, 12483, 7746, 42493, 4 ]

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

[ 2205, 119055, 13845, 4944, 12483, 223229, 194, 148222, 34482, 74004, 107581, 4, 6681, 119718, 120467, 364, 26, 6, 113889, 16803, 17410, 200117, 93497, 657, 17645, 35189, 2190, 5666, 6235, 10069, 4944, 18415, 151614, 1982, 12483, 6150, 75230, 96352, 121740, 6235, 159696, 1211, 6, 27137, 10339, 39083, 4484, 2190, 5666, 151614, 1982, 12483, 6235, 506, 9221, 13805, 4, 3056, 6, 76776, 69106, 22639, 27720, 4667, 292, 6, 238144, 1644, 220224, 39293, 129891, 23050, 3111, 2865, 51723, 6, 105780, 26, 2050, 6, 54260, 2648, 40697, 1211, 17190, 1982, 12483, 4, 8947, 657, 17645, 2932, 2702, 2205, 220224, 2808, 6, 69096, 84577, 6093, 163139, 46053, 24390, 15622, 54260, 3131, 12483, 23050, 3131, 2865, 34882, 5, 1470, 15907, 149010, 1211, 4, 6, 94741, 40920, 7746, 4, 7369, 21776, 24152, 43178, 13497, 1285, 126230, 125942, 123073, 4, 119718, 120467, 55242, 129891, 81444, 74806, 145161, 77188, 5, 6, 148222, 1751, 94626, 107581, 3056, 7508, 54260, 1211, 217284, 13456, 4, 2190, 5666, 34654, 2808, 97995, 98229, 51723, 144581, 183216, 55242, 46244, 1751, 47351, 5, 364, 26, 4269, 120467, 21338, 29771, 75578, 37826, 95455, 6, 59919, 10069, 43178, 132, 2702, 16, 2702, 2205, 207405, 3496, 195164, 35189, 7369, 3131, 36419, 4, 119055, 76632, 16667, 2702, 16667, 4151, 10339, 29771, 86070, 6093, 80885, 217284, 152185, 1285, 4944, 16932, 3069, 220224, 1211, 5, 6, 68558, 1470, 30682, 85465, 200117, 12483, 7746, 6, 79238, 2702, 87680, 28798, 22492, 6235, 159696, 104149, 2190, 2932, 6235, 3111, 24621, 12483, 71180, 1982, 12483, 5, 564, 48350, 29771, 83182, 2702, 5, 11556, 104149, 20033, 6, 65606, 51723, 220224, 1211, 193042, 15231, 184855, 6235, 10069, 40920, 137, 35189, 178116, 23269, 9616, 7682, 4, 199145, 6, 59919, 10069, 172398, 95766, 1470, 54260, 1211, 1470, 54260, 90848, 55823, 14004, 101608, 84349, 45629, 107581, 40653, 8903, 4852, 13159, 8300, 2702, 3069, 119055, 6093, 8580, 4, 81444, 4667, 119055, 29060, 8947, 2205, 4484, 54260, 1211, 165513, 45629, 107581, 151614, 1982, 12483, 10676, 6, 105439, 4, 163139, 2808, 70845, 15622, 204932, 12483, 5, 8947, 119055, 39083, 2882, 1470, 15622, 25391, 6235, 159696, 104149, 51723, 8248, 76866, 8947, 29434, 7682, 12483, 2190, 5666, 20033, 34076, 75230, 1982, 12483, 4, 6150, 364, 54260, 50778, 8903, 9424, 54260, 96986, 147062, 18225, 564, 54260, 2050, 13982, 7682, 12483, 1470, 75230, 4667, 1751, 119718, 63188, 18640, 4484, 54260, 2702, 12483, 42493, 6, 87311, 4944, 12483, 5, 2451, 24390, 117578, 13159, 36419, 4151, 10339, 39083, 13805, 44693, 2648, 17310, 63593, 22426, 55823, 54574, 12483, 20033, 10676, 137, 36419, 448, 155, 2190, 5666, 163139, 13497, 12483, 8947, 170479, 1644, 12483, 6, 148222, 6235, 13982, 710, 146873, 5332, 215052, 63593, 22426, 17410, 25207, 2205, 33960, 4944, 12483, 45521, 24152, 75230, 23741, 119055, 6093, 8580, 4, 95455, 1054, 21106, 21295, 1470, 75230, 150020, 63593, 106559, 93497, 10676, 134607, 220224, 23269, 14004, 73375, 8903, 6235, 10069, 4944, 18415, 2190, 5666, 657, 17645, 35189, 19532, 75230, 2702, 13342, 8903, 1982, 12483, 4, 1470, 75230, 4667, 3523, 54260, 4113, 3069, 6, 59919, 27720, 2702, 150349, 1211, 2190, 2932, 3069, 13982, 7682, 12483, 5, 6150, 13845, 107581, 44458, 32670, 141943, 4113, 12023, 4944, 32792, 9424, 2702, 7201, 49008, 10676, 10339, 39083, 4484, 6, 148222, 1470, 75230 ]

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

[ 8903, 1211, 2909, 2357, 1126, 107050, 133617, 43590, 4151, 75230, 6293, 5, 5332, 155, 1982, 10367, 7511, 80393, 9221, 6, 152203, 47063, 220224, 2808, 42493, 3069, 29434, 7682, 12483, 4, 4944, 7916, 8947, 3056, 4269, 155, 4944, 10339, 139365, 64260, 12483, 53005, 22492, 6428, 219097, 2808, 2190, 5666, 8947, 107776, 4151, 5, 64044, 4838, 17824, 75230, 101608, 6, 196821, 5, 2808, 5, 564, 5, 3523, 64260, 35044, 29771, 75578, 5, 99402, 10367, 7511, 874, 210326, 4, 36324, 6, 148222, 66616, 36677, 6, 156325, 6, 148222, 17741, 850, 29434, 7682, 6255, 14081, 1644, 54260, 1211, 163363, 110729, 564, 30473, 97634, 62808, 2909, 35189, 17288, 148346, 25207, 98071, 86733, 32887, 152194, 3120, 4151, 202469, 506, 132, 37271, 506, 17017, 45631, 2004, 184007, 4, 9934, 5, 4572, 2077, 137, 506, 16888, 179404, 9356, 62689, 54177, 9671, 6, 75230, 1982, 47063, 63849, 9134, 16888, 194170, 564, 106672, 54678, 609, 76526, 30741, 120972, 15, 4852, 56914, 113889, 1211, 247, 364, 54260, 3111, 1470, 16, 35189, 73095, 448, 4, 84475, 6, 148222, 17824, 75230, 36419, 66616, 36677, 2205, 163139, 50853, 4, 6150, 6, 148222, 17741, 87097, 29771, 1982, 12483, 1470, 75230, 2702, 8903, 144581, 1982, 12483, 10676, 657, 54260, 1982, 6681, 1470, 6, 145146, 74, 564, 16, 95455, 167048, 54260, 9719, 1644, 144754, 10676, 60980, 46590, 29771, 3131, 4, 208042, 7213, 2648, 131445, 905, 77801, 564, 14081, 17525, 6, 37016, 39293, 137427, 69596, 1211, 41731, 119718, 46985, 564, 30473, 97634, 62808, 5, 5110, 23822, 2050, 6, 132873, 3944, 2376, 116846, 58308, 80161, 22492, 4775, 4, 657, 15307, 506, 153796, 448, 34072, 13754, 14236, 710, 2568, 66317, 9181, 14514, 11139, 75903, 21219, 20632, 20315, 3944, 9915, 36419, 80393, 18340, 130742, 905, 2384, 2648, 131445, 2050, 41558, 20278, 5, 86901, 364, 76632, 874, 210326, 16780, 364, 27105, 131445, 448, 3131, 95766, 564, 56570, 69529, 113318, 2568, 93509, 43590, 874, 66168, 895, 2339, 14514, 6, 5594, 8580, 69529, 43057, 131445, 10125, 2648, 131445, 35148, 4, 4074, 14764, 10774, 4, 2568, 5666, 7511, 43057, 131445, 35148, 163363, 364, 56417, 564, 30473, 97634, 62808, 33331, 10498, 4775, 895, 13515, 51138, 116019, 6, 147899, 15662, 4892, 2007, 27105, 131445, 448, 620, 14004, 84286, 905, 564, 166617, 21219, 69715, 2050, 14514, 6, 17645, 112593, 895, 60826, 179863, 4, 12023, 564, 181247, 21696, 895, 20116, 6, 196821, 34671, 119947, 22492, 6428, 219097, 2808, 2909, 2932, 120467, 1644, 29771, 148346, 93497, 4838, 6, 170355, 4667, 159308, 6, 113889, 51723, 137, 26612, 3523, 54260, 4113, 116618, 43590, 155, 37826, 7746, 2808, 75230, 4667, 6235, 13982, 905, 20911, 2205, 137, 50931, 874, 174798, 2004, 543, 6463, 4, 6, 68380, 26, 6529, 73784, 6, 148346, 93704, 75230, 53414, 4, 4484, 171428, 20033, 42493, 6, 148346, 26612, 29659, 710, 51723, 4, 3120, 199145, 56170, 4838, 3496, 23173, 129071, 6093, 95455, 3056, 4, 10918, 4838, 88911, 21422, 4838, 116486, 170355, 98071, 36326, 6, 170355, 4667, 4, 84475, 6, 47351, 6, 23173, 46545, 1644, 4, 6, 238144, 1644, 1285, 6, 170355, 4667, 26217, 27720, 3056, 1470, 75230, 2702, 8903, 121865, 1211, 2205, 10676, 5332, 215052, 63593, 22426, 1644, 23173, 4, 199145, 20033, 6, 148346, 165592, 31623, 1211, 74, 22753, 68313, 6, 148346, 1644 ]

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

[ 75230, 4852, 56170, 8300, 54260, 4944, 13497, 2205, 10676, 87481, 186955, 5, 506, 99402, 2205, 178766, 137, 23173, 54260, 5666, 91163, 155, 151614, 148346, 1211, 20033, 6, 148346, 75322, 6093, 20911, 4, 36324, 6, 148346, 3111, 8903, 20315, 2050, 32887, 152194, 3120, 76961, 6, 113889, 21338, 29771, 148346, 93497, 6, 159696, 24152, 151614, 148346, 1211, 20033, 6, 21106, 7611, 6235, 212484, 1211, 24291, 95766, 220224, 1211, 2190, 95064, 29659, 186955, 4, 163139, 67873, 20033, 81444, 4, 110573, 10069, 8947, 170479, 42493, 6, 104378, 6, 198087, 54260, 1211, 186421, 4, 1285, 81444, 4852, 125897, 119055, 6093, 16932, 4838, 6, 148346, 710, 35044, 4151, 21733, 53414, 12, 62808, 151614, 148346, 1211, 3120, 6319, 54260, 1211, 6, 170355, 4667, 6, 113889, 21338, 29771, 148346, 93497, 42493, 6235, 506, 40096, 56170, 7746, 4484, 54260, 1211, 67882, 68380, 84316, 22426, 2882, 4, 6, 148346, 1644, 75230, 4852, 6235, 13982, 905, 146873, 233089, 2702, 4, 151614, 148346, 1211, 20033, 4151, 710, 148346, 6093, 7511, 2882, 6235, 506, 40096, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 45521, 16803, 13342, 128540, 6, 113889, 21338, 29771, 148346, 93497, 123736, 215206, 24295, 21106, 4, 21106, 4113, 1285, 21106, 4113, 13805, 40697, 1470, 54260, 105405, 52480, 28726, 4944, 4484, 54260, 28320, 220224, 23269, 72158, 86270, 74, 62808, 151614, 148346, 1211, 4151, 710, 148346, 6093, 21106, 54260, 1211, 6, 99611, 6235, 506, 40096, 6319, 54260, 1211, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 192183, 226112, 1644, 52541, 657, 75230, 2882, 10676, 123736, 215206, 24295, 21106, 76961, 6, 61541, 53414, 4, 199145, 220224, 49008, 6, 23173, 54260, 23405, 73381, 21106, 1211, 2205, 6428, 55049, 4, 4151, 506, 75230, 22426, 2882, 3056, 8947, 6235, 225975, 2882, 6235, 119718, 29766, 1211, 6, 148346, 3111, 8903, 10676, 137, 20315, 13805, 2884, 2004, 199145, 3056, 132025, 8903, 22426, 125897, 159696, 2882, 7265, 17824, 54260, 56880, 5, 20033, 151614, 148346, 1211, 6, 148346, 1644, 75230, 4852, 23050, 39340, 16667, 56170, 12415, 40377, 1211, 1285, 148346, 15096, 18415, 6428, 55049, 61541, 53414, 4, 123736, 148346, 6093, 42493, 28415, 5, 2205, 1285, 3944, 35189, 151614, 148346, 1211, 20033, 4, 23269, 2865, 188301, 2205, 4838, 40920, 1285, 1470, 54260, 105405, 52480, 28726, 4944, 4484, 54260, 2702, 3120, 4151, 119055, 39083, 127684, 506, 164046, 4, 16175, 54260, 1644, 2865, 39083, 3069, 8903, 22426, 59929, 2882, 22753, 3069, 10676, 4269, 48775, 2050, 74, 4838, 43649, 54260, 61397, 6, 113889, 35044, 29771, 148346, 6093, 119055, 39083, 2882, 6319, 54260, 5666, 2865, 39083, 42493, 6235, 23847, 75322, 2882, 137, 26612, 3373, 4667, 155, 7265, 137, 2882, 54260, 4667, 2004, 119055, 12483, 895, 22426, 710, 4151, 119055, 39083, 127684, 1470, 75230, 2702, 3131, 22426, 48775, 4667, 119055, 39083, 2882, 6, 99611, 1470, 75230, 2702, 104378, 12, 137, 57277, 1211, 155, 74, 29771, 35189, 137, 2442, 54260, 4852, 109316, 155, 7265, 137, 23847, 48350, 109316, 155, 292, 119055, 12483, 137, 23847, 48350, 109316, 155, 119055, 39083, 2882, 7746, 204982, 2808, 75230, 2702, 238197, 163139, 137, 50856, 48350, 109316, 155, 228830, 4, 163139, 1285, 6, 69181, 119718, 40697, 6, 54260, 35465, 119055, 13845, 46053, 13159, 6, 148346, 60732, 185527, 6, 99611, 6235, 23847, 75322, 2882, 5, 2588, 418, 159696, 2442 ]

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

[ 16932, 46464, 4944, 26394, 2882, 17410, 5, 69859, 2884, 71107, 119055, 29060, 1751, 75230, 1211, 17190, 17017, 6, 148346, 1644, 75230, 4852, 99611, 6428, 23173, 33225, 6, 225975, 1211, 292, 3373, 26, 159696, 48253, 75230, 1211, 6, 109995, 1470, 75230, 2702, 17953, 104855, 4, 1470, 75230, 2702, 21631, 15703, 5, 26612, 506, 25559, 2442, 148346, 506, 29659, 54260, 59461, 292, 4838, 3373, 109636, 42180, 4, 44478, 6, 240863, 2205, 9934, 9134, 2205, 22753, 183216, 20315, 2050, 137, 75689, 21776, 506, 2909, 14004, 25603, 21733, 40096, 4944, 12483, 292, 4838, 159696, 4484, 2932, 91275, 171428, 5, 146598, 109636, 710, 13159, 292, 6, 148346, 26612, 119718, 15533, 1211, 5, 2808, 75230, 2702, 23269, 105235, 1644, 7611, 292, 705, 64260, 119718, 710, 29060, 95494, 710, 12483, 292, 6, 172398, 101608, 1211, 4, 56170, 183718, 5, 119718, 80453, 2702, 44779, 220224, 1211, 5, 120467, 17494, 22426, 1211, 292, 6, 23173, 141943, 13159, 3120, 710, 56170, 3131, 54260, 2442, 65482, 5, 87311, 5666, 137377, 39083, 23173, 46545, 1644, 12483, 5, 14004, 148346, 6093, 8903, 506, 23173, 2702, 292, 40653, 8903, 159696, 32206, 5, 26612, 4944, 64260, 4113, 292, 60631, 4484, 5, 186955, 88660, 2702, 23269, 149311, 292, 6, 186955, 4484, 183718, 2882, 183718, 8580, 5, 171433, 8903, 148346, 29766, 13159, 292, 7746, 4838, 3373, 4667, 23050, 48775, 214766, 2702, 5, 71577, 9221, 292, 2190, 22426, 710, 68959, 23173, 75230, 2702, 8903, 61541, 36326, 109636, 2882, 2451, 23173, 75230, 2702, 8903, 3131, 36419, 13805, 5, 29766, 163177, 12483, 292, 364, 9221, 163177, 12483, 5, 148346, 5, 148346, 59929, 7511, 59929, 1644, 29771, 119718, 292, 75179, 448, 25391, 54260, 75578, 5, 148346, 26612, 104378, 6, 5, 2451, 1470, 54260, 5666, 8903, 2932, 22426, 5666, 49008, 5, 148346, 1644, 165592, 49008, 292, 6, 76776, 184855, 193178, 7746, 5, 148346, 29771, 88660, 2050, 6, 23173, 75230, 2702, 5666, 54260, 1211, 292, 1470, 75230, 95564, 118692, 12483, 148346, 48775, 292, 6, 148346, 2442, 54260, 4113, 5, 2932, 5, 2932, 92500, 292, 4151, 163139, 1644, 59461, 64890, 2884, 5, 2932, 29766, 21106, 142170, 292, 6, 148346, 2442, 48904, 33225, 13458, 114436, 2882, 5, 26217, 148346, 6093, 64310, 43649, 64260, 292, 37189, 75578, 7511, 21106, 4113, 43649, 64260, 4, 26217, 2882, 6, 148346, 213783, 292, 6, 68380, 1470, 75230, 2702, 148346, 213783, 7746, 4, 18133, 68566, 46053, 7746, 4838, 6, 68380, 6, 99766, 2205, 113524, 16870, 1211, 5, 2932, 54260, 1211, 4838, 32887, 24152, 292, 22753, 183216, 1470, 75230, 33225, 6, 101608, 16580, 46053, 29659, 54260, 61397, 5, 21847, 3111, 1644, 620, 5666, 292, 6319, 54260, 21733, 12483, 7746, 2205, 9915, 54260, 74, 165592, 26612, 6, 56052, 6, 124470, 41387, 506, 4, 199145, 18225, 235466, 2808, 75230, 6293, 7746, 4, 110573, 10069, 120202, 13342, 104378, 5, 8903, 2648, 160022, 292, 23050, 13982, 54260, 2050, 4838, 874, 15662, 5, 8903, 212484, 2882, 657, 75230, 33225, 292, 6, 151227, 165592, 2702, 56170, 42180, 1211, 4, 137377, 42180, 1211, 4, 56170, 3131, 28726, 22426, 1211, 5, 8903, 96951, 4944, 29060, 292, 74806, 2865, 87442, 4, 74806, 5666, 71577, 2702, 4, 8903, 46464, 40920, 5, 23269, 31249, 710, 35189, 292, 364, 15350, 31212, 5, 50856, 54260, 3131, 44779 ]

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

[ 292, 6235, 35189, 448, 4, 21374, 126968, 2702, 5, 2648, 5, 94741, 710, 41764, 710, 76632, 141943, 39293, 292, 33960, 148346, 182731, 5, 94741, 101296, 38596, 65482, 15622, 109636, 292, 4838, 19302, 54260, 2648, 3120, 26612, 101328, 6, 56052, 220224, 2648, 5, 2588, 304, 2648, 171433, 120467, 48253, 7682, 13159, 292, 6, 189098, 16847, 5, 2648, 31212, 292, 364, 75230, 4667, 4, 123736, 130752, 5, 10069, 13845, 13159, 292, 64769, 33188, 4, 18906, 22426, 33056, 4, 116486, 26394, 46053, 5, 135542, 15435, 1644, 2451, 148346, 135542, 506, 55546, 2451, 128540, 32573, 27570, 4, 101296, 12984, 6, 59919, 6, 47351, 123736, 25207, 212915, 5, 20315, 4944, 75230, 93497, 6, 148346, 710, 63864, 292, 1285, 6428, 54260, 153222, 9213, 148346, 6093, 4852, 21660, 17310, 6, 189098, 10676, 224220, 172398, 80453, 69355, 57689, 14856, 152848, 75386, 68558, 230764, 10367, 4667, 5, 20315, 7511, 126968, 292, 4838, 186046, 8300, 54260, 22426, 125897, 143628, 36326, 36258, 148346, 4113, 15, 26612, 364, 21106, 148346, 6093, 4269, 90848, 81829, 194, 20315, 22426, 22151, 161577, 292, 54745, 204403, 30473, 46053, 4, 41764, 7682, 2648, 15050, 5, 35189, 17494, 153222, 1211, 292, 4151, 13159, 1211, 4, 6, 23173, 54260, 20260, 12415, 12984, 95766, 1285, 564, 127684, 5, 13982, 93975, 292, 4838, 9424, 71577, 1644, 4, 4838, 119055, 29766, 6293, 4, 4838, 9721, 125897, 5, 2648, 48775, 148346, 13159, 292, 1751, 119718, 710, 47526, 6093, 4, 1470, 75230, 2702, 2702, 72631, 22426, 1211, 5, 506, 5, 506, 142429, 17645, 292, 6235, 3111, 2932, 5, 506, 39083, 4113, 126968, 2702, 292, 121193, 54260, 20315, 44779, 4, 3120, 48277, 5, 87637, 124470, 25207, 21292, 46985, 292, 1285, 4151, 1644, 75230, 1982, 161829, 4, 905, 13845, 107581, 3056, 6235, 101296, 40920, 6235, 119718, 29766, 1211, 15, 69355, 7758, 69452, 874, 60071, 43178, 148346, 6093, 2932, 16, 3069, 6, 101470, 22426, 90848, 8300, 35596, 564, 54260, 6235, 119718, 710, 36419, 6, 148346, 93704, 23174, 109226, 5, 4151, 6, 26394, 21338, 84475, 4838, 6, 148346, 75322, 6093, 4484, 17310, 1470, 75230, 33225, 17288, 13805, 1644, 4, 199145, 7369, 21733, 77188, 4, 165592, 4151, 116486, 8300, 35596, 119055, 77188, 6235, 5666, 75230, 51723, 895, 22426, 710, 42355, 5, 506, 2702, 148346, 19063, 292, 6, 124470, 143712, 5, 506, 137377, 1211, 292, 95455, 364, 137377, 5666, 8903, 75230, 13805, 84475, 19302, 54260, 23269, 1751, 46545, 44779, 6319, 39083, 54196, 112216, 22426, 9221, 4, 119718, 120467, 7265, 220224, 10339, 147713, 2882, 18225, 4838, 87311, 22849, 26612, 15949, 46053, 10676, 2939, 1211, 3069, 564, 93704, 37016, 16667, 5, 119718, 21106, 40096, 3131, 13159, 292, 119055, 21106, 59461, 2882, 7746, 4838, 68550, 4, 5, 3131, 28726, 22426, 2882, 7746, 4838, 60071, 5, 119718, 710, 113889, 119718, 29766, 292, 1470, 75230, 49268, 54260, 2648, 5, 159696, 13845, 292, 215031, 6, 56052, 657, 54260, 119718, 13497, 5, 4852, 5, 170355, 94741, 97634, 48253, 23269, 45495, 24621, 292, 1470, 75230, 7201, 113889, 148346, 23269, 21295, 4, 4838, 35189, 75230, 6293, 5, 4852, 165592, 131044, 3131, 23269, 292, 56170, 2865, 43178, 28726, 75578, 5, 4852, 29771, 104238, 4113, 292, 4838, 6, 97634, 4944, 16932, 5, 170355, 203749, 142429, 174121, 1644, 292, 4151, 18906, 171665, 2884, 1644 ]

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

[ 54260, 59461, 4, 119718, 120467, 657, 54260, 2932, 2702, 1470, 54260, 1211, 23050, 75386, 4838, 75386, 18906, 171665, 2884, 5, 39293, 16580, 26394, 2702, 292, 6, 37016, 39293, 17494, 42180, 2702, 5, 4, 62763, 31467, 292, 4838, 364, 15350, 89930, 59461, 17879, 1211, 3120, 43449, 75230, 69855, 91163, 119055, 172398, 5, 3149, 5, 220798, 122652, 292, 215031, 6, 56052, 56170, 9424, 54260, 46545, 11211, 35044, 5666, 141014, 6, 148346, 42695, 292, 4838, 10339, 54260, 1211, 114338, 1644, 4, 4838, 6, 61397, 120467, 16667, 5, 2882, 5, 57277, 95564, 29060, 292, 620, 4113, 22426, 2702, 5, 2702, 120467, 8580, 292, 78104, 80264, 4, 6, 57277, 148346, 92605, 5, 97634, 4484, 292, 3944, 21106, 39340, 5, 205416, 2932, 292, 364, 183512, 1644, 95564, 171433, 195088, 5, 2882, 75230, 4484, 1751, 54260, 6093, 73784, 29434, 79238, 1211, 5, 34079, 12666, 109636, 16803, 15533, 105330, 292, 4838, 56170, 8300, 54260, 46545, 6093, 1470, 54260, 148346, 6093, 148346, 16747, 68558, 6, 49268, 148346, 1644, 5, 175221, 88660, 133190, 5, 2588, 363, 21338, 905, 134067, 2451, 21733, 905, 134067, 292, 6, 109636, 21733, 5, 23822, 13159, 12483, 292, 46711, 54260, 35044, 12483, 5, 48253, 99766, 6, 77820, 29771, 119055, 30473, 26612, 119718, 292, 2648, 16175, 54260, 119718, 10125, 64260, 70845, 160751, 71577, 2702, 5, 48253, 99766, 6, 77820, 29771, 41764, 12415, 99611, 292, 4151, 16175, 54260, 119718, 10125, 120467, 70845, 160751, 48775, 40920, 5, 178107, 113889, 119718, 29171, 292, 6, 148346, 26612, 75322, 16932, 5, 123073, 1369, 2882, 86733, 16870, 2451, 29771, 152185, 16870, 292, 2442, 54260, 5, 710, 5, 9183, 109636, 292, 4838, 32054, 75230, 135118, 1644, 54260, 2648, 5, 137218, 148346, 16870, 29171, 13159, 292, 75851, 16847, 4, 4269, 90848, 30750, 4, 210346, 25207, 4231, 109226, 5, 710, 59929, 23269, 159696, 1644, 87311, 163177, 23269, 81444, 148346, 90848, 2648, 39293, 17645, 26612, 78104, 21338, 56170, 41764, 75230, 1644, 40697, 146594, 19063, 5, 710, 98071, 41387, 2451, 21292, 54705, 130742, 5, 4944, 5, 4944, 142429, 292, 6, 48904, 5666, 4, 6, 23173, 54260, 5666, 240863, 5, 171665, 27570, 188257, 292, 17288, 4944, 82576, 148707, 57277, 4852, 5, 10813, 710, 95564, 292, 186565, 7611, 4, 112216, 2702, 3131, 4, 32054, 59929, 4484, 5, 148346, 80453, 506, 29171, 292, 42542, 4269, 54260, 1211, 56170, 4838, 110573, 80453, 506, 4, 148346, 7972, 148346, 905, 29171, 5, 1644, 5, 1644, 71577, 5666, 9719, 8300, 44779, 292, 11211, 21338, 12483, 7265, 1470, 75230, 53414, 5, 12666, 148346, 292, 6, 88660, 25207, 3120, 564, 54260, 46685, 74, 4269, 54260, 2882, 230764, 75290, 148346, 4, 4838, 75230, 6293, 6, 148346, 6093, 29659, 2200, 6, 90848, 2932, 29771, 163177, 13159, 5, 7972, 71577, 292, 37189, 2702, 25207, 15388, 74, 56170, 39293, 161829, 4, 24012, 119718, 155, 4852, 7682, 4, 120202, 8903, 212484, 65482, 6, 148346, 65606, 5, 45081, 2442, 6, 148346, 2882, 3149, 2884, 292, 110573, 10069, 3069, 220224, 1211, 162926, 6093, 5, 2865, 5, 87311, 7682, 292, 199145, 657, 75230, 23741, 125523, 4151, 6, 87311, 20315, 5, 11556, 153222, 1211, 292, 67882, 16932, 1211, 5, 2865, 63976, 15, 35402, 76866, 4852, 50144, 506, 17727, 292, 56170, 1644, 141943, 2882, 4, 7201, 23173, 3131, 159696 ]

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

[ 40920, 4, 6319, 21106, 17645, 6235, 101296, 40920, 5, 232898, 144529, 2451, 144803, 609, 144529, 292, 705, 24621, 25391, 292, 4838, 9424, 172398, 60403, 3120, 4151, 6, 124470, 76179, 506, 29771, 35189, 221895, 117902, 9183, 20911, 1211, 4, 1054, 120467, 8903, 506, 93497, 3069, 1285, 657, 238144, 2050, 5, 14857, 10705, 2865, 124470, 1211, 292, 241304, 5, 14857, 148346, 17645, 220224, 1211, 292, 6, 148346, 26612, 3131, 119718, 53414, 5, 5666, 5, 76776, 148346, 23173, 292, 95455, 6, 101470, 21776, 25616, 905, 28320, 5, 5666, 48904, 48775, 20315, 292, 564, 21106, 75230, 3111, 23405, 4, 1470, 75230, 2702, 8300, 54260, 4944, 43178, 17310, 5, 76776, 10813, 17645, 2451, 120202, 8903, 212484, 114436, 4, 6, 148346, 141356, 123329, 59173, 5, 7511, 16870, 29771, 98071, 74813, 13159, 292, 43649, 54260, 4113, 74915, 850, 5, 37599, 85, 399, 292, 874, 34533, 5, 23269, 4944, 54260, 6, 17645, 6, 48253, 99766, 6, 87311, 38054, 29771, 17645, 292, 35189, 16175, 54260, 119718, 1644, 170479, 22753, 4151, 29659, 133671, 5, 5666, 21066, 4113, 292, 15750, 61541, 4113, 5, 2702, 5, 2702, 39083, 8300, 29771, 119718, 710, 119132, 6, 105235, 38249, 292, 705, 2702, 148346, 29766, 29659, 3131, 7682, 292, 4151, 13754, 86733, 137, 2702, 57277, 710, 90848, 80885, 155, 2205, 6, 75322, 39083, 133671, 207405, 4, 2588, 617, 119718, 120467, 10339, 147713, 2882, 6428, 23173, 33225, 1470, 75230, 7201, 87311, 49008, 148346, 2882, 1285, 6, 54260, 35465, 1285, 56170, 3131, 54260, 2648, 65482, 29659, 54260, 53414, 4, 3069, 128540, 6428, 225958, 3120, 10069, 21776, 25616, 905, 28320, 2200, 1470, 75230, 4667, 6, 215629, 1285, 107182, 2442, 7682, 22426, 42180, 5, 2702, 119718, 142429, 9934, 5666, 88660, 113889, 9183, 292, 6235, 4852, 21660, 148346, 31212, 4, 221586, 4113, 13805, 5, 2702, 119718, 29771, 17645, 119055, 39083, 17645, 292, 160204, 199145, 95455, 364, 23173, 7611, 195054, 71616, 5, 2702, 159696, 48253, 113889, 710, 3373, 148346, 29766, 292, 3944, 40920, 137377, 8300, 39083, 4, 119718, 120467, 6, 54260, 35465, 151614, 148346, 1211, 2205, 9424, 23173, 65689, 207405, 6235, 8300, 39083, 2882, 5, 82576, 159696, 292, 41764, 2932, 17188, 4, 3523, 63831, 5, 34575, 29771, 17645, 142170, 292, 4838, 6235, 148346, 54260, 4, 4838, 17879, 1211, 5, 2702, 2702, 90848, 710, 29060, 292, 6, 148346, 75230, 2882, 5, 34575, 710, 292, 16888, 2882, 74, 3496, 71577, 1211, 10676, 3373, 65848, 292, 4944, 71577, 1211, 10676, 16888, 2882, 5, 21087, 99176, 90761, 2808, 292, 1285, 65902, 22426, 506, 4, 4151, 6, 31623, 155, 506, 25207, 4, 4151, 1751, 28320, 5, 21087, 22426, 92605, 292, 364, 75230, 2702, 3131, 157245, 6093, 4, 3496, 26612, 1982, 23173, 29171, 5, 2702, 15949, 2648, 23173, 142170, 2451, 506, 2702, 15435, 29766, 142170, 292, 118439, 448, 29659, 710, 148346, 710, 4, 53636, 121865, 23269, 39293, 17017, 4, 57588, 111398, 161270, 5, 2702, 101296, 65848, 21338, 292, 1470, 75230, 7201, 39293, 6093, 4, 1470, 75230, 7201, 22426, 59929, 93497, 2865, 29766, 4944, 12483, 7265, 1285, 34076, 29771, 64213, 292, 7508, 23173, 7201, 5, 144754, 1285, 1470, 75230, 15388, 5, 114349, 36609, 23269, 292, 46711, 75230, 6093, 7682, 4, 2190, 107182, 7682, 5, 36419, 104238, 292, 15, 2702, 18340, 80453 ]

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

[ 247, 9424, 119718, 710, 148346, 92605, 5, 150349, 59929, 26612, 148346, 2451, 9719, 21338, 4, 5332, 8632, 4, 160238, 21338, 5, 150349, 26612, 88660, 71512, 292, 22444, 98071, 4484, 5, 49268, 218241, 292, 6, 16932, 56052, 5, 4113, 5, 13845, 7682, 292, 215031, 6, 56052, 22444, 4944, 119718, 23173, 5666, 5, 22426, 5, 22426, 26612, 10813, 7682, 13159, 292, 186046, 4113, 148346, 4484, 13159, 5, 22426, 21106, 29771, 159696, 292, 874, 37016, 65482, 5, 7201, 48904, 710, 148346, 65606, 292, 4838, 121865, 2702, 29771, 25616, 40096, 5, 22426, 710, 142170, 81444, 148346, 90848, 2648, 4852, 17645, 292, 6, 80453, 45631, 28726, 148346, 1211, 5, 22426, 26612, 8300, 71577, 12483, 292, 4151, 2882, 71577, 1211, 4, 46050, 15388, 5, 7201, 48904, 7201, 29766, 29771, 208182, 292, 32054, 84577, 40697, 5, 22426, 92605, 4, 6, 80453, 16580, 15, 22426, 125897, 16, 292, 81444, 4667, 74, 1470, 75230, 148346, 1751, 75230, 1211, 5, 204403, 2648, 40096, 292, 43649, 54260, 6093, 5, 204403, 94741, 2050, 54745, 3111, 2932, 4, 4231, 59929, 142170, 112216, 142170, 292, 4944, 26, 159696, 1644, 6235, 148346, 1211, 182731, 4, 3944, 40377, 123329, 6, 80453, 45631, 5, 204403, 2648, 148346, 29771, 88660, 2050, 292, 2205, 1285, 564, 218241, 13159, 4, 2205, 1285, 4852, 54260, 28320, 5, 204403, 48253, 46053, 162726, 101328, 158652, 13159, 4, 6, 53171, 27570, 5, 204403, 104238, 4113, 292, 4838, 657, 119718, 5594, 5, 7201, 171433, 17645, 292, 4838, 78104, 22426, 13456, 143628, 3131, 9934, 18553, 1644, 5, 204403, 2702, 36419, 159696, 7611, 292, 215031, 874, 120467, 5, 204403, 1644, 29771, 119718, 48904, 77820, 106559, 292, 4231, 23173, 13720, 106559, 5, 204403, 1644, 239162, 4852, 292, 6, 148346, 1211, 6, 21106, 16932, 6, 57277, 69106, 5, 204403, 7972, 183202, 13159, 292, 1470, 54260, 5666, 119718, 2808, 75230, 59461, 3120, 117902, 1644, 13159, 17645, 5, 204403, 96951, 16629, 76632, 4113, 292, 6, 186601, 74, 6, 23173, 137377, 101470, 4, 23173, 137377, 39293, 64213, 3120, 6, 80453, 54260, 4852, 5, 22426, 183911, 448, 292, 1285, 134607, 448, 2200, 1285, 6, 159696, 24152, 4, 119718, 120467, 56170, 101470, 7746, 7265, 1470, 54260, 5666, 128540, 6, 141943, 154739, 46545, 1285, 6, 54260, 2648, 40697, 6235, 39293, 64213, 4, 163139, 4151, 4231, 26659, 140746, 4, 4151, 81951, 1211, 24621, 22426, 2882, 2200, 221895, 74330, 5, 135455, 2702, 2702, 90848, 710, 12483, 4838, 41764, 18640, 28726, 292, 193178, 21374, 177243, 11556, 177243, 4, 10339, 29771, 149211, 1211, 5, 22426, 710, 142170, 292, 4269, 23173, 21338, 5, 7916, 119718, 148346, 6093, 1644, 292, 705, 22426, 13456, 48253, 21106, 39340, 292, 10339, 54260, 59919, 1644, 5, 7201, 54260, 292, 6, 159696, 159696, 24152, 13159, 109636, 1644, 4944, 44779, 5, 22426, 2702, 23173, 142170, 292, 364, 41595, 29659, 21106, 5, 22426, 71804, 159696, 2882, 2451, 564, 142429, 2882, 5, 22426, 67054, 2702, 6, 148346, 1211, 231019, 292, 4838, 6, 124470, 22492, 3120, 116, 46053, 4231, 155, 506, 5, 22426, 2702, 26612, 101328, 107581, 292, 15, 9183, 107581, 16, 364, 41595, 13456, 6, 148346, 137119, 5, 22426, 48775, 148346, 26612, 119718, 39340, 292, 364, 24244, 29111, 5, 22426, 48775, 159696, 292, 198754, 5, 80453, 59929, 57277, 119718, 39340, 292 ]

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

[ 3069, 128540, 5, 22426, 90848, 36326, 142170, 292, 6, 148346, 92983, 5, 80453, 15533, 16629, 74813, 13159, 292, 1470, 75230, 2702, 80453, 13159, 109226, 4, 1470, 75230, 2702, 155, 80453, 13159, 1211, 7265, 4269, 119718, 21106, 2648, 43649, 155, 53414, 5, 80453, 21292, 41731, 16803, 159696, 292, 4838, 36258, 2702, 155, 506, 75230, 4852, 4, 119055, 10705, 18225, 130170, 46464, 40920, 124724, 37016, 127583, 1211, 5, 22426, 36326, 22426, 48775, 36326, 2050, 4, 112216, 142170, 292, 6, 84577, 2702, 69127, 116367, 4, 80453, 45631, 5, 8300, 5, 8300, 23173, 6, 17645, 11556, 41764, 37016, 6, 63188, 905, 292, 705, 8300, 119718, 710, 97634, 48253, 23269, 16175, 54260, 292, 6, 148346, 12666, 96302, 54260, 5, 10918, 23269, 292, 6, 80453, 54260, 4852, 5, 26394, 46685, 710, 26394, 292, 215031, 6, 56052, 45521, 59919, 5, 26394, 28320, 2451, 8300, 75230, 46053, 292, 129165, 54561, 5, 89930, 22426, 7972, 159696, 292, 6235, 2648, 69127, 7682, 5, 4484, 5, 4484, 40096, 31249, 39340, 292, 119055, 21106, 61397, 506, 39083, 7611, 5, 88660, 148346, 12415, 1211, 292, 3069, 20315, 4484, 4, 1285, 39340, 4, 162726, 16870, 4, 32887, 109636, 4667, 5, 88660, 25207, 6255, 292, 143064, 6255, 5, 88660, 1644, 148346, 59929, 13159, 292, 1054, 63864, 29659, 5, 88660, 5666, 39248, 98071, 35596, 1211, 292, 7265, 29771, 13497, 54260, 1644, 23269, 46685, 2200, 47351, 85858, 4, 192183, 2702, 48775, 506, 172398, 1211, 5, 4484, 23173, 24621, 119718, 29771, 710, 292, 8947, 1211, 4, 84475, 145813, 54260, 4852, 8903, 21295, 5, 73486, 165592, 3131, 54196, 292, 29434, 54260, 16803, 4, 6, 148346, 48775, 119718, 4, 7265, 73486, 165592, 3131, 5, 50931, 37016, 2451, 50931, 92605, 292, 10339, 75230, 16803, 5, 4484, 119718, 218241, 4852, 21106, 148346, 6093, 292, 705, 16580, 57277, 710, 292, 215031, 6, 56052, 1751, 97634, 6293, 15, 76776, 20260, 8580, 4, 57277, 23741, 4113, 194, 16580, 48253, 292, 6, 95494, 29659, 15350, 5, 144581, 119718, 48904, 6093, 6, 148346, 29060, 44478, 1644, 292, 9424, 170355, 48277, 142429, 17645, 4, 199145, 8947, 37826, 6235, 4852, 109226, 26612, 6235, 119718, 710, 101608, 65902, 101296, 59461, 6, 148346, 29060, 44478, 4, 80453, 129071, 7682, 54196, 6235, 119718, 29766, 1211, 9424, 87311, 105330, 21660, 54260, 46053, 3120, 119055, 39083, 127684, 123822, 12130, 5, 144581, 22426, 850, 292, 113044, 850, 4, 60118, 54260, 23269, 4269, 54260, 82576, 5, 4484, 54260, 1211, 3373, 44779, 4, 6319, 54260, 1211, 54745, 4667, 2451, 4484, 54260, 1211, 60837, 31212, 4, 4484, 54260, 1211, 18133, 4667, 292, 56170, 7201, 21106, 1211, 6235, 90848, 8580, 4, 87637, 2205, 119055, 26612, 104238, 6, 23173, 54260, 1211, 5, 75290, 95494, 40920, 292, 9934, 4484, 5666, 29766, 12984, 292, 8248, 22426, 1211, 5, 4484, 99611, 39340, 44779, 2451, 152440, 4852, 126968, 44779, 292, 12023, 4944, 44779, 5, 6, 113889, 4944, 8903, 84316, 63532, 4, 163139, 1285, 80839, 24621, 6, 54260, 35465, 7508, 54260, 35465, 6, 23173, 75230, 2702, 95455, 119055, 99766, 37271, 152440, 4852, 126968, 44779, 2909, 25616, 71577, 1211, 292, 36324, 13845, 107581, 72191, 16175, 54260, 2932, 44779, 4, 29434, 54260, 127892, 4484, 84577, 125897, 4, 6235, 80453, 4113, 2932, 21295, 2205, 151614, 29171, 92500, 6235, 46590, 2882 ]

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

[ 7265, 6235, 506, 129071, 4113, 5332, 22426, 1644, 5, 84316, 20616, 148346, 116793, 1369, 25616, 25603, 506, 148346, 1644, 84404, 292, 137377, 26, 8903, 121865, 1211, 4, 120202, 23269, 35044, 21292, 1211, 5, 2442, 5, 68697, 292, 4151, 6, 148346, 23173, 52480, 16932, 3944, 93704, 63188, 25093, 31467, 710, 117260, 63864, 59094, 15289, 21067, 13330, 2451, 3117, 22426, 17727, 5, 12415, 148346, 1644, 39340, 292, 119055, 39083, 37016, 4, 7265, 119055, 13845, 12984, 18225, 159696, 122868, 77188, 6, 159696, 22426, 5, 121865, 1644, 292, 9915, 43082, 5, 25207, 35465, 3120, 364, 75230, 67873, 10339, 59929, 292, 7508, 54260, 35465, 34076, 59929, 95766, 4151, 6, 159696, 75386, 6, 23173, 54260, 1211, 4, 101251, 148346, 26612, 68566, 16747, 13159, 5, 3131, 5, 162756, 1054, 124470, 41387, 850, 292, 10339, 48775, 15388, 2200, 6, 35596, 59919, 1211, 874, 171665, 15662, 56170, 3131, 54260, 2648, 65482, 21776, 7972, 46677, 39293, 64769, 33188, 4, 6, 58082, 41507, 2200, 22426, 59929, 9221, 109226, 4, 199145, 22753, 49008, 56170, 25391, 710, 148346, 1211, 6235, 119718, 29766, 1211, 3120, 84087, 25093, 31467, 12130, 92500, 151614, 148346, 1211, 6, 113889, 133324, 46598, 6235, 5666, 21106, 46053, 4838, 75386, 159696, 2932, 238144, 168155, 3069, 41764, 95564, 171428, 657, 75230, 2882, 220224, 7201, 23173, 3131, 54260, 2648, 65482, 1285, 12130, 5, 29659, 23829, 292, 3523, 23173, 5, 1211, 165513, 218241, 13159, 292, 165284, 4484, 13159, 15, 13159, 7682, 194, 3131, 101608, 4944, 12483, 292, 165284, 39340, 159696, 1211, 4, 6, 71804, 96986, 5, 29659, 3131, 171433, 39083, 710, 13159, 292, 32054, 84577, 1211, 5, 29659, 3131, 64260, 292, 21776, 4944, 43178, 17310, 5, 31249, 15662, 710, 69708, 119718, 506, 22639, 1211, 24012, 182073, 1211, 292, 1285, 199145, 2932, 54260, 12483, 2205, 4838, 32532, 119718, 506, 170355, 4667, 4, 119055, 53414, 42493, 8903, 7511, 182073, 2882, 5, 31249, 710, 23173, 13159, 292, 37640, 13805, 5666, 109636, 1644, 7611, 4, 10184, 13805, 5, 31249, 710, 4944, 101296, 7611, 292, 1157, 9183, 106737, 4, 620, 52480, 2865, 59094, 5, 37460, 292, 4269, 120467, 2702, 6, 113889, 51723, 5, 3131, 2865, 54260, 46053, 27855, 22426, 2702, 5666, 109636, 1644, 7611, 5, 3131, 22426, 21106, 52541, 292, 6, 57277, 109636, 46053, 5, 3131, 22426, 48904, 63188, 6, 148346, 60071, 2882, 2882, 31212, 292, 4838, 6, 148346, 60071, 2702, 2702, 31212, 27909, 4944, 8903, 159696, 148346, 2882, 7265, 24012, 1644, 35189, 23269, 84475, 30473, 1644, 75578, 23269, 45521, 20315, 2050, 5, 609, 5, 124470, 2442, 148346, 850, 292, 120202, 3131, 54260, 4, 30795, 20961, 7611, 4, 43649, 40096, 5, 124470, 144532, 506, 292, 6, 23173, 33104, 16932, 23269, 11556, 5666, 5666, 4, 1470, 75230, 16803, 54260, 1644, 17310, 74, 35189, 4231, 114349, 54260, 54260, 7972, 6, 17645, 50856, 2451, 2442, 7201, 80453, 101328, 29771, 108264, 46053, 4, 199145, 14856, 506, 64260, 6, 148346, 93704, 23173, 23741, 1470, 75230, 2702, 212413, 1211, 4, 6, 23173, 33104, 16932, 101470, 56170, 10676, 110573, 42023, 4, 2200, 199145, 171665, 1644, 90079, 14856, 37826, 8947, 6, 99611, 3523, 13159, 68558, 4, 506, 64260, 18225, 6, 99611, 6235, 2882, 99766, 4151, 69355, 8903, 99611, 1211, 5, 113889, 35044, 29771, 148346, 93497, 6235, 235210, 1644, 18415 ]

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

[ 0, 378, 7146, 12, 1243, 7, 150, 820, 16529, 127, 7049, 916, 56, 268, 378, 1723, 127427, 12, 58020, 268, 378, 211232, 9956, 94940, 12, 90863, 1444, 268, 378, 117772, 80217, 12, 378, 25, 67362, 56, 31731, 4, 241, 179665, 464, 25, 86245, 378, 131514, 15300, 12, 8264, 7, 11406, 16529, 127, 268, 6, 90848, 4852, 4, 119718, 41595, 95455, 19302, 54260, 2648, 109316, 6, 26394, 1982, 212484, 2882, 92500, 1285, 6, 119312, 42493, 11265, 4838, 78956, 4, 34079, 109636, 2882, 4838, 94741, 6, 186145, 97634, 65848, 5, 2451, 6, 225975, 4, 119055, 10705, 506, 8580, 36324, 75230, 56170, 94626, 2932, 54260, 126934, 4, 4838, 94741, 4, 6, 186145, 97634, 65848, 705, 238144, 4852, 2882, 22753, 1470, 75230, 33225, 7508, 75230, 28320, 162726, 75230, 2882, 152, 2451, 33960, 18406, 11211, 16747, 44779, 9721, 37016, 44779, 9721, 75230, 2882, 5, 87637, 16747, 44779, 6319, 119718, 7682, 12483, 17806, 37016, 25603, 7682, 119718, 137218, 28726, 8248, 46685, 22639, 35189, 94626, 4, 2865, 54260, 13497, 8947, 152, 2451, 4838, 94741, 4, 9721, 37016, 44779, 33960, 1982, 4, 238144, 1644, 18133, 151614, 16803, 219047, 88771, 143064, 5, 13458, 37016, 44779, 9721, 75230, 2882, 2200, 292, 41764, 7682, 22426, 7682, 22426, 7682, 5, 87637, 16747, 44779, 57973, 7746, 6, 26394, 25616, 176727, 5, 25391, 54260, 2882, 1285, 67882, 24621, 506, 2884, 230764, 220224, 152, 2451, 67826, 1644, 4, 4151, 364, 68558, 204982, 27702, 50853, 4838, 30109, 54260, 4, 159696, 2882, 1470, 54260, 4667, 220224, 1211, 36324, 163139, 16747, 92500, 238144, 5, 92500, 3069, 6, 93704, 47351, 6, 225975, 2882, 22753, 152, 2451, 3523, 54260, 711, 29771, 75578, 4838, 94741, 6, 71804, 40920, 4151, 69355, 4, 101296, 40920, 7746, 90284, 65442, 230764, 4151, 364, 2884, 5, 45963, 137377, 8903, 22426, 93449, 2200, 120202, 8903, 25616, 41595, 4, 225975, 2882, 220224, 4838, 94741, 152, 2451, 182261, 6093, 657, 176727, 5, 26217, 18415, 4, 9934, 174121, 11211, 16747, 44779, 4, 364, 77188, 119718, 710, 3120, 9721, 75230, 2882, 4838, 6, 104038, 119055, 77188, 5, 506, 77188, 4838, 6, 104038, 4, 364, 77188, 4838, 88911, 69355, 4838, 7508, 54260, 21066, 4, 3120, 4838, 10498, 15435, 4, 69355, 4838, 45223, 7201, 84577, 4, 3120, 4838, 151614, 4852, 4, 69355, 4838, 1751, 75230, 18415, 41764, 44376, 39083, 7611, 113889, 4852, 5, 7972, 35189, 104038, 26, 44779, 6, 59929, 26612, 4667, 506, 64260, 874, 54260, 1211, 16175, 174121, 1470, 75230, 2702, 8903, 236376, 5, 29771, 75578, 11211, 16747, 44779, 4, 292, 199145, 2200, 119055, 6093, 705, 219947, 14856, 657, 176727, 2200, 7243, 14856, 364, 77188, 5, 225975, 2882, 220224, 4838, 48775, 152, 2451, 3523, 54260, 1211, 3056, 3523, 54260, 1211, 4, 159696, 1644, 6255, 3069, 1285, 114955, 4269, 54260, 1211, 5, 65848, 57277, 110129, 4, 6, 186145, 97634, 65848, 4, 93704, 59929, 6, 240863, 3056, 43449, 29771, 16747, 163139, 22753, 5, 2808, 75230, 6293, 4838, 41764, 71804, 710, 4, 7265, 29434, 64260, 56170, 8300, 75322, 2882, 4, 3131, 22426, 159993, 114955, 7746, 2205, 6, 235210, 2648, 5, 1982, 75230, 12483, 67826, 1982, 44779, 4, 193178, 137, 22426, 26612, 21292, 2004, 225975, 2882, 220224, 4838, 94741, 152, 2451, 6255, 151614, 1982, 3523, 54260, 2702, 5 ]

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

[ 25391, 54260, 12483, 114955, 152, 2451, 4838, 94741, 4, 6, 238144, 4852, 5, 52688, 2451, 3373, 26, 68313, 3069, 364, 53414, 4, 7243, 3069, 6, 104149, 4, 2702, 26, 68313, 3120, 182261, 2200, 3120, 6235, 159696, 1211, 5, 7972, 35189, 104038, 26, 44779, 6, 59929, 26612, 4667, 506, 64260, 874, 54260, 1211, 16175, 174121, 1470, 75230, 2702, 8903, 236376, 5, 2932, 15907, 7746, 6, 50273, 8580, 1285, 6, 113889, 4852, 4838, 10498, 9221, 152, 2451, 36324, 6428, 54260, 1211, 16175, 174121, 4, 3056, 56170, 124724, 5, 101080, 105330, 43649, 87442, 6, 23173, 75230, 2702, 1285, 9424, 54260, 1211, 152, 2451, 3496, 26, 119718, 15350, 7243, 4, 3373, 68313, 56170, 124724, 6, 21106, 54260, 1211, 5, 92500, 23050, 29771, 9719, 3373, 26, 23269, 59094, 29434, 54260, 2882, 152, 2451, 67882, 4838, 19302, 54260, 2648, 20033, 1470, 75230, 111137, 5666, 54260, 2882, 5, 2932, 15907, 220224, 4838, 94741, 3069, 56170, 29659, 54260, 1211, 165592, 7243, 133190, 56170, 11265, 6, 21106, 54260, 1211, 710, 35189, 104038, 26, 44779, 6, 59929, 26612, 4667, 506, 64260, 11265, 16175, 174121, 1470, 75230, 2702, 8903, 236376, 5, 2451, 36324, 3069, 119718, 120467, 101251, 30473, 80885, 7508, 54260, 2648, 705, 2702, 26, 68313, 56170, 1470, 54260, 4667, 4, 56170, 4, 192544, 92500, 4484, 54260, 2882, 5, 506, 29771, 18406, 114955, 7746, 9424, 48350, 21660, 96256, 75230, 2702, 13342, 506, 53414, 78278, 73784, 158628, 93704, 59929, 6, 104038, 26, 44779, 56170, 220224, 4, 92500, 6235, 4852, 109226, 152, 2808, 54260, 16667, 2200, 9424, 238144, 4, 2702, 26, 68313, 73784, 364, 53414, 4, 7243, 73784, 6, 104149, 4, 2702, 68313, 3120, 182261, 2200, 3120, 6235, 159696, 1211, 5, 5666, 966, 268, 159696, 159696, 24152, 13159, 4113, 163139, 15388, 7746, 7508, 75230, 2882, 73375, 80885, 44779, 2808, 75230, 6293, 9424, 238144, 8903, 44779, 2205, 119718, 15350, 16803, 4, 6, 159696, 119718, 12415, 21733, 4, 1285, 24012, 36419, 44779, 705, 2808, 75230, 6293, 364, 41595, 6093, 131445, 44779, 43649, 54260, 5, 119718, 23173, 23741, 6, 159696, 119718, 12415, 21733, 95455, 6, 37016, 109316, 4, 10069, 9424, 54260, 16747, 44779, 6, 238144, 4852, 2882, 2200, 6, 71804, 40920, 5, 3111, 4, 33960, 1982, 4838, 34076, 29060, 874, 54260, 1211, 564, 37016, 109316, 4, 2932, 16011, 6255, 124724, 220273, 6, 59929, 26612, 4667, 5, 29257, 55242, 16803, 705, 6255, 151614, 1982, 4838, 34076, 37016, 109316, 4, 2702, 68313, 657, 75230, 16932, 22753, 1644, 75578, 238144, 2702, 5, 1644, 165592, 132025, 97634, 1211, 230764, 6428, 54260, 1211, 6, 37016, 109316, 4, 159696, 2882, 65902, 183216, 1470, 75230, 33225, 1470, 54260, 4852, 5, 5666, 29766, 6, 159696, 119718, 12415, 21733, 7265, 10184, 36419, 44779, 35189, 25391, 87442, 7746, 2200, 4838, 177282, 75230, 23741, 5, 10705, 112304, 34533, 36324, 75230, 46590, 24012, 36419, 44779, 85465, 200117, 6255, 364, 54260, 13497, 132025, 8903, 4484, 75230, 23741, 5, 1065, 1054, 4, 3131, 75230, 96986, 41764, 44376, 39083, 7611, 22426, 44376, 39083, 7611, 4, 1751, 23173, 59919, 1751, 113889, 17160, 22426, 7682, 4, 68313, 6, 130991, 364, 54260, 13497, 98252, 5, 39293, 16803, 4, 1285, 147582, 8903, 44779, 7369, 119055, 23173, 23741, 4, 3131, 113889, 17160, 37826, 7369, 132025, 8903, 3131, 23173 ]

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

[ 23741, 2808, 75230, 6293, 4838, 43649, 54260, 1211, 27702, 2050, 16175, 54260, 4667, 2205, 119055, 21106, 2648, 4, 159696, 2882, 7369, 182261, 6093, 41764, 133671, 27702, 50853, 5, 22426, 44376, 39083, 7611, 37826, 4838, 564, 75230, 2050, 73784, 3523, 105330, 3131, 75230, 1211, 6235, 17268, 49008, 4, 292, 41764, 93449, 7369, 4, 41764, 7682, 711, 2808, 75230, 18406, 4, 2190, 198093, 4, 27702, 4151, 220224, 2882, 4, 2882, 32097, 2205, 564, 75230, 2050, 10676, 1751, 113889, 17160, 9915, 54260, 2648, 2882, 5, 3131, 75230, 18415, 41764, 44376, 39083, 7611, 4, 199145, 3056, 95455, 705, 159696, 16803, 145115, 2442, 71577, 12483, 7746, 1285, 6, 113889, 4852, 4, 159696, 67873, 10339, 54260, 8903, 44779, 2205, 3523, 90848, 4852, 71804, 12984, 152, 2451, 55242, 6, 76776, 4, 41764, 44376, 39083, 7611, 113889, 4852, 5, 13497, 2050, 4484, 119718, 15907, 95494, 1751, 29771, 6293, 4, 4838, 6, 147455, 4, 4838, 115222, 22849, 109316, 4, 95766, 23050, 16803, 4838, 41764, 710, 34709, 1751, 159696, 22849, 109316, 4, 95766, 4269, 90848, 4852, 4838, 1751, 80453, 23174, 6093, 8300, 119718, 15907, 86733, 292, 92500, 205026, 22444, 23741, 67882, 24621, 6319, 119718, 15907, 86733, 1644, 5, 418, 702, 10114, 78683, 15907, 56170, 3131, 54260, 2882, 50273, 8580, 10676, 10339, 142429, 46598, 12023, 16747, 2882, 92500, 23050, 29771, 9719, 22518, 54260, 2882, 5, 2702, 26, 2442, 54260, 16803, 6, 23173, 75230, 2702, 4151, 163139, 13497, 10705, 16747, 168155, 7508, 75230, 28320, 6, 78683, 15907, 5, 78683, 15907, 4, 6, 78683, 15907, 4, 169550, 6, 78683, 15907, 4, 1982, 34533, 6, 94741, 4667, 5332, 22426, 13159, 7243, 6319, 54260, 1211, 657, 54260, 2882, 5, 95766, 4151, 364, 54260, 4667, 6, 26394, 119718, 176727, 506, 64260, 7746, 169550, 6, 78683, 15907, 5, 159696, 2442, 37826, 70845, 74806, 7682, 116812, 710, 12483, 36324, 75230, 6, 238144, 2882, 705, 78683, 15907, 4, 6, 78683, 15907, 4, 169550, 6, 78683, 15907, 119718, 39083, 4484, 16667, 159308, 145813, 45631, 9424, 79238, 5666, 54260, 2648, 2882, 5, 5666, 29766, 18133, 46654, 34533, 2200, 46654, 34533, 4, 506, 59929, 2882, 4269, 23173, 7243, 6319, 54260, 1211, 9424, 54260, 2882, 4, 3131, 75230, 1211, 27702, 2050, 11211, 17017, 564, 34533, 4, 2442, 75230, 16932, 4, 620, 91595, 6093, 6, 78683, 15907, 5, 78683, 15907, 4, 6, 78683, 15907, 4, 169550, 6, 78683, 15907, 4, 1982, 34533, 163139, 6255, 56170, 3131, 54260, 2882, 5, 78683, 15907, 292, 4838, 147582, 6093, 5, 4838, 10339, 71577, 9221, 65482, 620, 48904, 2932, 418, 201, 66293, 218241, 97634, 75578, 29659, 15350, 95494, 4, 6, 95494, 29659, 15350, 4, 6, 95494, 3131, 29766, 4667, 4, 1751, 75230, 1211, 711, 4944, 26, 115518, 6, 218241, 97634, 75578, 4, 77208, 3120, 8248, 46685, 4, 1644, 54260, 2932, 6255, 620, 29771, 55823, 1211, 76961, 6, 73906, 51723, 4, 119718, 23173, 6293, 6255, 4269, 39083, 2648, 230764, 9424, 238144, 2932, 2200, 564, 75230, 2050, 5, 159696, 1211, 119718, 10705, 73418, 73418, 4, 163139, 177282, 6, 238144, 2882, 4, 4944, 26, 115518, 6, 218241, 97634, 75578, 4, 3496, 159696, 1644, 56170, 1982, 213783, 159696, 2932, 2200, 6, 105235, 2932, 7265, 6235, 28726, 6, 130929, 16932, 92500, 7265, 2190, 107182, 123329, 32054 ]

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

[ 54260, 2648, 5, 21066, 52349, 4, 6, 75230, 8300, 119718, 4231, 21847, 21066, 54260, 2882, 4, 4944, 26, 115518, 6, 218241, 97634, 75578, 4, 2205, 118473, 141847, 13159, 3131, 7682, 6255, 10339, 54260, 21847, 3944, 35189, 6, 199511, 4, 5666, 54260, 6235, 170355, 23405, 56170, 192544, 92500, 4484, 54260, 2882, 27, 71, 14004, 26394, 28726, 22426, 31623, 109316, 14004, 26394, 28726, 22426, 31623, 109316, 4, 2808, 75230, 33225, 6319, 137377, 4838, 874, 31623, 109316, 4, 2808, 75230, 33225, 364, 21106, 2648, 4852, 4838, 34076, 37016, 109316, 4, 95766, 4838, 7508, 75230, 28320, 21776, 4484, 109316, 4, 144754, 9424, 73381, 7972, 146873, 55242, 39340, 44779, 4, 292, 119718, 710, 4151, 8248, 46685, 97634, 2932, 3056, 6, 71804, 23405, 2932, 54260, 2882, 7369, 40611, 2200, 19302, 23174, 2882, 19302, 23174, 21733, 48904, 2932, 5, 2808, 75230, 33225, 6, 94741, 4667, 4838, 16175, 54260, 1982, 109316, 4, 95766, 4151, 1751, 104855, 4838, 1751, 54260, 1982, 109316, 5, 14004, 26394, 28726, 22426, 31623, 13845, 65482, 63532, 4838, 43649, 54260, 1211, 4838, 145813, 31623, 109316, 4, 119718, 23173, 23741, 8947, 148620, 16175, 54260, 1982, 109316, 4, 186145, 23741, 7369, 148620, 1751, 54260, 1982, 109316, 4, 1982, 26612, 8300, 29771, 73375, 165592, 2932, 4, 78956, 165592, 113889, 1982, 26612, 7611, 4, 3131, 80453, 23174, 2882, 6, 23173, 75230, 2702, 4838, 1751, 119718, 23173, 26394, 6, 78683, 7611, 5, 7511, 2882, 4838, 1751, 80453, 17310, 95455, 6319, 21660, 109316, 4, 14004, 26394, 1644, 12483, 4838, 30109, 21660, 109316, 4, 57277, 39340, 133190, 4838, 21374, 26394, 28726, 5, 14004, 26394, 28726, 22426, 710, 26394, 147713, 15907, 4838, 119055, 29766, 6293, 95455, 43649, 37016, 109316, 4, 2442, 37016, 109316, 2200, 34076, 37016, 109316, 4, 212484, 2882, 7746, 657, 75230, 33225, 7265, 4838, 85658, 22426, 92500, 73095, 21422, 16932, 2882, 70845, 4838, 3944, 22426, 5, 5666, 423, 71804, 40920, 1285, 6, 78683, 7611, 3120, 9213, 26394, 1644, 12483, 152, 39293, 126934, 4, 217247, 4, 182261, 6, 21106, 54260, 1211, 705, 5666, 29766, 4838, 6319, 48775, 7611, 4, 4838, 29434, 71577, 109316, 4, 1644, 75230, 17748, 34079, 4838, 56170, 8300, 71577, 1644, 16932, 6, 5, 6, 5, 6, 5, 92500, 4838, 16175, 75230, 1982, 4838, 46654, 40096, 6093, 10125, 29771, 126934, 143064, 3069, 67882, 16932, 1211, 4, 23269, 2865, 16803, 4838, 43649, 54260, 47526, 2200, 18133, 119055, 23173, 17748, 2882, 4, 292, 36326, 51723, 119055, 39083, 126934, 7746, 6235, 2648, 23173, 23741, 5, 225975, 2882, 73784, 115222, 34709, 1470, 31623, 109316, 152, 2451, 6, 107581, 4113, 1751, 75230, 1211, 6, 57277, 39340, 182261, 6, 21106, 54260, 1211, 165592, 73095, 3056, 7243, 72577, 36324, 75230, 159696, 1211, 4838, 22639, 21847, 6, 105515, 36324, 75230, 5, 4944, 26, 13458, 141847, 1751, 75230, 1211, 99509, 4113, 55242, 39340, 44779, 75290, 16747, 44779, 2200, 9721, 37016, 13845, 44779, 4, 292, 2882, 75230, 18406, 4, 10339, 54260, 8903, 44779, 2205, 23050, 16803, 4, 5666, 40096, 1470, 54260, 4667, 76961, 4, 19302, 54260, 47332, 2200, 6, 119273, 5, 1662, 13342, 123736, 18279, 17741, 506, 26, 1211, 26612, 7213, 6293, 37826, 4838, 94741, 1470, 75230, 2702, 8903, 87311, 21295, 4, 144754, 76961, 2442, 1644, 54260, 6319, 39083, 52541, 4, 144754 ]

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

[ 7508, 75230, 2882, 2200, 6, 195054, 4, 7265, 43449, 29771, 2200, 4269, 39083, 2648, 4, 292, 119718, 10705, 119055, 29060, 1285, 7213, 6293, 22753, 6, 215629, 705, 20315, 2050, 6, 448, 6, 23173, 88680, 4, 3069, 4151, 43649, 64260, 119718, 10705, 3373, 26, 28726, 47332, 1285, 191795, 30750, 12065, 506, 5, 2451, 123736, 4, 7213, 6293, 4, 29434, 54260, 6, 57277, 2932, 92500, 76776, 40920, 6428, 54260, 1211, 7508, 29766, 92500, 657, 79238, 42493, 1470, 75230, 2702, 6428, 54260, 1211, 10339, 54260, 6093, 5, 10069, 191795, 30750, 17741, 506, 119055, 23173, 2882, 27702, 2050, 1751, 159696, 71804, 163139, 13497, 6093, 2200, 4838, 8248, 46685, 5, 2451, 123736, 4, 33960, 1982, 7746, 4, 7213, 6293, 4, 2205, 6, 448, 4838, 43649, 13845, 119718, 120467, 33960, 104238, 132025, 13342, 104378, 5, 5666, 11703, 5, 75578, 109316, 9585, 75578, 109316, 3056, 6, 23173, 75230, 2702, 3120, 133190, 4113, 92500, 4151, 104149, 292, 1285, 6, 159696, 21295, 4838, 19302, 29766, 4113, 5, 39293, 56169, 7746, 6, 75578, 109316, 230764, 1285, 43649, 54260, 59461, 2808, 75230, 2702, 13342, 21847, 54260, 12984, 7746, 1285, 564, 54260, 59461, 92500, 4838, 564, 68550, 160204, 152, 28317, 905, 73418, 19084, 5, 3131, 218241, 1644, 12483, 564, 54260, 46685, 7265, 1285, 9424, 238144, 15388, 152, 30750, 101608, 4, 6, 75578, 109316, 4, 170479, 16803, 1751, 238144, 15388, 4, 159696, 16803, 1285, 10339, 54260, 8903, 44779, 4151, 25391, 37016, 1211, 92500, 1285, 17288, 39293, 44779, 1470, 75230, 7201, 159696, 38249, 5, 29771, 75578, 6, 75578, 109316, 4151, 90284, 46685, 225975, 2882, 152, 2451, 292, 6255, 163139, 1644, 7243, 220224, 1211, 165284, 46685, 5, 92500, 7369, 9721, 177148, 6, 21106, 7611, 152, 28317, 77525, 19084, 5, 165592, 26612, 6, 75578, 109316, 4838, 90284, 46685, 4852, 39083, 220273, 230764, 4151, 6, 159696, 21295, 7243, 6, 104378, 5, 1065, 3117, 5, 1644, 37016, 13456, 6, 75578, 165592, 133190, 7369, 6, 238144, 13497, 119718, 710, 166464, 3056, 6, 71804, 23405, 5, 10069, 67882, 24621, 874, 54260, 13497, 165592, 7369, 3056, 6319, 48775, 20260, 5, 35189, 6319, 137377, 6, 105515, 6, 238144, 69355, 220224, 1211, 6235, 25391, 54260, 5, 29257, 129165, 2932, 16803, 125523, 119055, 6093, 705, 35189, 657, 37016, 13456, 6, 75578, 5, 2451, 163139, 1644, 16803, 8947, 1211, 4, 6, 75578, 705, 6093, 9585, 506, 36609, 152, 2451, 3523, 54260, 5666, 49209, 5, 2451, 6, 76776, 4, 163825, 44779, 118473, 92500, 220224, 6, 21106, 54260, 1211, 5, 6093, 6, 225975, 2882, 11265, 152, 2451, 3523, 74612, 92500, 6, 238144, 16932, 292, 85658, 22426, 5, 6093, 6, 238144, 13497, 125523, 28415, 4, 35189, 657, 37016, 13456, 6, 75578, 5, 5666, 1039, 10114, 68313, 199145, 119055, 29060, 220224, 1211, 705, 10069, 67882, 24621, 620, 4113, 22426, 2882, 92500, 204982, 70845, 1470, 54260, 1211, 165592, 26612, 21776, 26394, 22426, 2882, 5, 6093, 204982, 4838, 10339, 21106, 152, 2451, 3373, 68313, 29572, 16932, 4269, 21106, 5, 92500, 6, 238144, 13497, 125523, 28415, 4, 35189, 657, 37016, 13456, 6, 75578, 5, 5666, 6460, 268, 88660, 16932, 6, 88660, 16932, 88660, 16932, 4, 6, 88660, 16932, 4, 1470, 75230, 15388, 17824, 71512, 4, 119718, 120467, 3056, 95455, 22639, 144754, 1211, 29434, 710 ]

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

[ 49008, 705, 506, 64260, 7746, 132025, 8903, 97634, 1211, 4838, 21374, 21338, 4, 144754, 4838, 45521, 35189, 148620, 11211, 21338, 4, 144754, 4838, 6319, 39083, 59461, 215031, 9721, 54260, 28320, 92500, 4838, 16888, 22426, 35044, 99509, 7265, 6319, 238144, 28320, 4, 144754, 4838, 1285, 96302, 114436, 46440, 39340, 4, 2702, 26, 23269, 59094, 220224, 16667, 3056, 163139, 4838, 41764, 15350, 39340, 92500, 1285, 6, 159696, 194734, 44779, 163139, 29434, 29060, 44779, 5, 292, 1982, 34533, 81444, 4667, 4, 6, 88660, 16932, 4, 36324, 75230, 45521, 2882, 44779, 4, 165592, 18133, 6319, 172398, 2882, 7746, 6319, 75230, 2050, 36324, 3131, 7508, 52541, 4, 119718, 15533, 17645, 6, 159696, 126934, 3523, 54260, 1211, 145813, 26612, 138194, 1211, 705, 268, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 7201, 23173, 1644, 54196, 1285, 1751, 23173, 55823, 6, 113889, 55546, 5, 144754, 199145, 4852, 36326, 119055, 29060, 7369, 3523, 54260, 12483, 26612, 19302, 54260, 2648, 109316, 56170, 1157, 506, 26, 1211, 705, 6093, 6, 105515, 6, 68558, 1285, 145813, 26612, 50931, 1211, 92500, 22518, 54260, 2882, 152, 2451, 364, 77188, 230764, 3069, 18133, 67873, 5, 168892, 8248, 4667, 1751, 75230, 1211, 3120, 27702, 25222, 49008, 92500, 42542, 22753, 7243, 6235, 7916, 49008, 5, 2451, 18133, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 4, 29257, 364, 186955, 16803, 2205, 6, 71804, 7611, 1285, 6, 113889, 55546, 4, 26612, 10918, 16747, 6319, 43178, 126934, 1751, 75230, 1211, 3523, 54260, 12483, 26612, 19302, 54260, 2648, 109316, 56170, 1157, 506, 26, 1211, 5, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 26394, 201237, 2882, 7746, 152, 2451, 16175, 9221, 23173, 29766, 1644, 5, 26612, 9915, 54260, 35189, 1644, 4838, 6, 201237, 6093, 26394, 29659, 91595, 7746, 27702, 50853, 10676, 6, 223390, 6093, 5, 20260, 71577, 36609, 4838, 10918, 16747, 95455, 3523, 54260, 12483, 26612, 19302, 54260, 2648, 109316, 56170, 1157, 506, 26, 1211, 5, 35189, 6, 21106, 16932, 9915, 54260, 35189, 81444, 55546, 26394, 13458, 91595, 56170, 3496, 13159, 1285, 6, 113889, 55546, 5, 35189, 9915, 54260, 35189, 67882, 40920, 6235, 25391, 54260, 12483, 2808, 75230, 6293, 67882, 51723, 2200, 230764, 1157, 506, 26, 1211, 5, 144754, 657, 71577, 4484, 13159, 620, 4113, 22426, 2882, 6428, 59929, 115222, 34709, 20315, 2050, 10339, 142429, 46598, 133454, 19302, 21660, 1644, 5, 5666, 1381, 10114, 13458, 54260, 21338, 13458, 75230, 125830, 68313, 6, 75322, 39083, 6235, 159696, 1211, 4838, 9721, 54260, 21338, 292, 506, 21106, 1982, 4151, 1982, 92605, 1211, 4, 364, 21106, 1982, 56170, 13458, 35596, 292, 1644, 176727, 95455, 9721, 54260, 21338, 148620, 19302, 54260, 21338, 219947, 3069, 6, 101470, 2205, 1285, 364, 35596, 5, 104378, 3120, 56170, 94626, 1285, 6, 186578, 4, 24621, 6, 26394, 4944, 71577, 2882, 95455, 9721, 75230, 2882, 4, 14856, 235466, 13458, 54260, 2882, 44779, 1470, 75230, 2702, 8903, 1982, 92605, 1211, 2451, 13458, 75230, 23269, 4, 5666, 29766, 95455, 1470, 54260, 23269, 657, 54260, 98833, 56170, 36326, 63532, 5, 76776, 40920, 10339, 186955, 3069, 5, 7265, 6319, 21106, 18415, 6, 113889, 55546, 12483, 29659, 91595, 4151, 32054, 120467, 2882, 4, 163139, 364, 54260 ]

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

[ 101608, 22518, 75230, 2882, 5, 101296, 24621, 7213, 20911, 2205, 19302, 54260, 21338, 151614, 55546, 12483, 4484, 75230, 33225, 6, 186955, 8903, 1982, 92605, 1211, 9721, 75230, 2882, 5, 95766, 4838, 1751, 23173, 21066, 1470, 54260, 5666, 8903, 119718, 7682, 21295, 506, 64260, 7746, 151614, 55546, 6319, 75230, 2050, 4151, 3131, 28726, 22426, 2882, 5, 2451, 204982, 4838, 9721, 54260, 21338, 56170, 4838, 24012, 21733, 5, 292, 92500, 98252, 6, 23173, 75230, 6293, 1285, 6, 186145, 22426, 5, 2451, 67882, 24621, 4, 55242, 163139, 17824, 75230, 2702, 4, 4838, 17190, 17160, 79761, 160751, 48775, 40920, 56170, 10184, 23269, 6293, 3373, 35596, 5, 4852, 42733, 56169, 1285, 67882, 24621, 152, 2451, 6, 101328, 4, 874, 54260, 1211, 98478, 4, 506, 21106, 1982, 4151, 1982, 92605, 1211, 4, 364, 21106, 1982, 56170, 13458, 35596, 5, 418, 1702, 10114, 5666, 29766, 1285, 1751, 159696, 82576, 2200, 1285, 78956, 35189, 4852, 171428, 36324, 3131, 3120, 32054, 54260, 2648, 9424, 73381, 71804, 63532, 5, 13159, 1211, 7508, 54260, 55823, 44779, 9721, 75230, 2882, 7265, 3944, 35189, 152, 2451, 9721, 54260, 21338, 13458, 75230, 2882, 4, 18133, 564, 34533, 27702, 57277, 63532, 5, 2702, 26, 506, 29771, 18406, 114955, 9934, 40096, 6235, 2932, 65482, 56169, 92500, 6, 195054, 54260, 98833, 7746, 620, 29771, 33225, 40026, 5, 17268, 119132, 9721, 54260, 13845, 4, 292, 133190, 4838, 41764, 65482, 7611, 4, 292, 506, 64260, 6, 195054, 75230, 40920, 1211, 7265, 4838, 115825, 5, 16580, 83182, 620, 29771, 33225, 1470, 54260, 5666, 8903, 13982, 54260, 18415, 92500, 4151, 41764, 65482, 7611, 657, 75230, 40920, 2200, 43449, 141943, 2882, 5, 292, 2702, 26, 68313, 6, 75322, 39083, 6235, 159696, 1211, 4838, 9721, 54260, 13845, 4, 506, 21106, 1982, 4151, 1982, 92605, 1211, 4, 364, 21106, 1982, 56170, 13458, 35596, 5, 5666, 138, 10114, 87637, 177282, 119718, 41595, 122868, 54260, 2882, 4838, 11211, 177282, 230764, 4151, 4269, 59929, 4, 506, 26612, 119718, 39340, 2882, 6, 68558, 6, 47351, 2190, 29111, 6093, 5, 2451, 11211, 177282, 119718, 41595, 1644, 4, 11211, 177282, 564, 59929, 4, 292, 85465, 200117, 6255, 70845, 6235, 225164, 4, 292, 4944, 26, 238144, 2702, 6, 90848, 4667, 564, 34533, 4838, 72577, 6093, 364, 26612, 119718, 39340, 4, 119718, 120467, 4852, 36326, 6428, 23173, 17748, 34079, 43649, 188301, 364, 26612, 119718, 165354, 705, 5, 5666, 2681, 5, 21066, 710, 138763, 35596, 2451, 1285, 364, 35596, 44779, 21923, 27702, 124724, 6319, 186955, 4, 35189, 119718, 23173, 46598, 220224, 27702, 2050, 7508, 93704, 137218, 16932, 5, 5666, 29766, 4838, 94741, 1751, 159696, 47332, 4838, 68550, 9424, 79238, 23822, 186955, 92500, 163139, 4838, 10339, 54260, 8903, 28726, 22753, 46654, 40096, 77188, 5, 2451, 3496, 26, 85465, 200117, 147582, 21847, 4, 67882, 24621, 4, 7243, 6319, 54260, 1211, 364, 35596, 4, 10069, 6, 119312, 4151, 119718, 23173, 63593, 2882, 220224, 2205, 147582, 12483, 5, 292, 92500, 4838, 94741, 204982, 4838, 1751, 159696, 1982, 4, 4838, 43449, 141943, 152, 2451, 123736, 4, 874, 75322, 109316, 4, 220224, 78956, 12483, 711, 92500, 4838, 94741, 37826, 1285, 364, 35596, 9424, 79238, 80453, 54260, 2882, 4, 26394, 21066, 40096, 77188, 220224, 4, 292, 6, 64260, 27702, 50853, 4, 4838 ]

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

[ 147582, 80264, 711, 10069, 67882, 24621, 3496, 71577, 2882, 22753, 6, 47351, 7265, 32054, 54260, 4667, 152, 2451, 2200, 205026, 119055, 6093, 119055, 29060, 81444, 364, 161577, 705, 2451, 3496, 26, 159696, 1644, 6, 104378, 1751, 109636, 16932, 4, 27702, 50853, 4, 98252, 4, 119718, 710, 3373, 26, 4484, 177148, 2205, 23050, 16803, 6, 23173, 54260, 1211, 4838, 10339, 75230, 21847, 5, 92500, 364, 35596, 44779, 37826, 22753, 364, 75230, 1211, 6, 26394, 119718, 176727, 144754, 3069, 8903, 101296, 4944, 18415, 1470, 75230, 15388, 5, 5666, 2789, 10114, 39293, 13805, 2190, 12483, 9424, 12483, 2808, 54260, 1211, 874, 39083, 133190, 151614, 1982, 6255, 6235, 104149, 1285, 657, 55787, 4, 2808, 54260, 1211, 874, 21106, 37826, 22753, 205026, 6235, 104149, 5, 4944, 26, 115518, 182261, 6093, 55242, 13805, 4, 292, 119055, 29060, 22753, 205026, 4151, 88660, 49008, 4113, 12483, 6255, 119055, 13845, 6, 186955, 119055, 53414, 9424, 12483, 705, 2702, 26, 506, 64260, 1285, 657, 55787, 6235, 97634, 1211, 20033, 4838, 10498, 54260, 10813, 92500, 4, 6, 48775, 40920, 7746, 4, 5332, 22426, 13159, 6, 238197, 5, 1982, 26, 85465, 200117, 7265, 4151, 364, 84577, 6235, 119718, 39083, 2882, 22753, 4151, 23847, 54260, 12984, 4, 506, 64260, 22753, 23050, 4852, 29771, 13497, 152, 2451, 67826, 1644, 4, 14856, 215594, 5, 2702, 16, 506, 64260, 20033, 4838, 192556, 6235, 225975, 2882, 1285, 657, 55787, 4, 159696, 1211, 3496, 26, 85465, 200117, 22753, 1470, 54260, 1211, 874, 39083, 6235, 104149, 4, 4944, 26, 159696, 1644, 7746, 4838, 119718, 93704, 4113, 10676, 192556, 125523, 4151, 87311, 49008, 51723, 6255, 119055, 13845, 6, 186955, 119055, 53414, 9424, 12483, 5, 268, 9719, 195054, 37016, 31623, 13845, 21660, 71512, 28726, 117397, 109316, 6, 88660, 15231, 20260, 43178, 54260, 2882, 4838, 68550, 4838, 43449, 64260, 125897, 4, 4484, 21660, 13845, 37016, 21660, 109316, 7508, 75230, 15231, 20260, 43178, 54260, 2882, 4838, 68550, 4838, 6319, 75230, 46545, 4113, 5, 4944, 26, 159696, 1644, 4838, 6, 78683, 2050, 2200, 119055, 59929, 6093, 6, 101470, 92500, 220224, 119055, 26612, 81829, 2200, 56170, 39340, 51723, 5, 758, 2882, 174121, 97634, 18415, 26612, 16175, 174121, 27702, 2050, 6, 57277, 28320, 3056, 16175, 174121, 4, 26612, 67882, 24621, 27702, 2050, 6, 57277, 28320, 3056, 6, 87311, 24621, 4, 23269, 112593, 28320, 9934, 62067, 7369, 4, 7243, 160751, 90848, 28320, 4, 26612, 112216, 101608, 27702, 70845, 3056, 4838, 6319, 75322, 29789, 5, 3111, 129165, 2932, 6255, 70845, 152, 2451, 16175, 174121, 4, 21422, 16175, 174121, 4, 7201, 23173, 119718, 120467, 170479, 126934, 220264, 7265, 17824, 54260, 56880, 705, 225975, 16803, 17806, 16932, 4, 4838, 29659, 54260, 61397, 4, 7243, 6, 88660, 16932, 4, 92500, 36324, 1211, 6, 225975, 126934, 4, 2200, 7243, 1470, 54260, 56880, 5, 35189, 8300, 54260, 21295, 20033, 4151, 16175, 174121, 4838, 6, 104038, 69355, 6, 61541, 35189, 4, 3120, 1751, 29771, 6293, 2200, 3120, 17190, 46685, 4, 69355, 6, 92605, 53414, 4, 9915, 54260, 35465, 2200, 7508, 54260, 46053, 4, 69355, 6, 119312, 199145, 14856, 27855, 22426, 2882, 7265, 1285, 37922, 93497, 5, 95766, 6, 212394, 4, 119055, 10705, 3373, 26, 68313, 16175, 174121, 160751, 75230, 61621, 4, 219947, 29771, 3056, 6319, 54260 ]

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

[ 1211, 10213, 48974, 2200, 6319, 54260, 1211, 6, 97634, 67873, 4, 26612, 564, 75230, 2050, 6428, 99766, 2205, 45521, 50853, 119055, 77188, 56170, 1644, 75230, 61621, 4, 69355, 21776, 15388, 119055, 77188, 1751, 119718, 23173, 89930, 2648, 74806, 119718, 39083, 1211, 5, 35189, 7201, 23173, 95298, 364, 75230, 20315, 1211, 7746, 9721, 75230, 28320, 4, 119718, 710, 114955, 7265, 57906, 2648, 65482, 115222, 22426, 44779, 4, 92500, 21422, 8903, 44779, 145813, 12415, 183216, 230764, 162726, 75230, 28320, 144754, 10213, 38054, 44779, 56170, 21066, 29771, 40920, 1211, 2205, 6, 26394, 22426, 44779, 5, 1065, 4039, 5666, 29766, 163139, 198093, 4, 36324, 3373, 26, 506, 54260, 18406, 6, 68558, 364, 55990, 12483, 4, 1982, 26612, 234221, 7746, 115374, 2205, 43649, 88680, 92500, 115222, 22849, 44779, 3069, 115222, 22849, 44779, 7746, 33718, 7972, 12483, 92500, 3373, 26, 10918, 16932, 1211, 114955, 2205, 10184, 75578, 5, 29771, 506, 29771, 4, 30109, 4113, 4944, 64213, 163139, 198093, 2200, 21776, 159696, 1211, 4, 92500, 10498, 54260, 46053, 7265, 21776, 15388, 2200, 43449, 64260, 4113, 4, 292, 35189, 7201, 23173, 37826, 4151, 16175, 174121, 4838, 99531, 13342, 6, 225975, 1211, 7243, 16175, 174121, 4, 133190, 16175, 174121, 5, 25491, 200117, 13159, 3944, 40920, 1982, 29771, 30750, 235466, 4838, 1751, 159696, 1982, 109316, 2200, 21422, 16747, 21338, 710, 40920, 292, 1470, 54260, 16667, 4, 9424, 238144, 4, 29434, 54260, 4, 83066, 5, 53521, 2808, 37826, 22753, 36324, 4151, 163139, 13497, 17268, 119132, 45521, 57619, 16932, 4, 3120, 4151, 16175, 9221, 159696, 2882, 4838, 564, 212484, 160204, 101251, 8903, 120749, 92500, 56170, 28726, 81829, 11265, 4113, 3944, 40920, 5, 101296, 40920, 22753, 3069, 1285, 45521, 57619, 16932, 4, 78104, 55451, 1211, 95455, 41764, 12130, 11265, 2702, 56170, 105235, 21295, 5, 26612, 4667, 4, 163139, 564, 54260, 20315, 4, 6255, 7265, 11265, 4, 25207, 35465, 241662, 6, 68558, 4838, 6, 159696, 21295, 5, 92500, 1285, 46654, 63593, 44779, 292, 10339, 71804, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 47833, 1054, 53414, 43449, 29771, 5, 21733, 54260, 1211, 2200, 43449, 54260, 4667, 4151, 191795, 1982, 13159, 364, 35596, 4, 2808, 54260, 23405, 37016, 5666, 54260, 2882, 29659, 230764, 220224, 1285, 364, 75230, 2882, 4, 5666, 29766, 11265, 41764, 12130, 4, 6, 94741, 40920, 7746, 4, 9721, 35596, 92500, 4151, 3523, 48775, 6093, 6319, 137377, 3056, 7508, 75230, 2882, 5, 92500, 1285, 46654, 63593, 44779, 292, 10339, 71804, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 119055, 53414, 43449, 29771, 5, 2808, 168892, 2200, 191795, 30750, 292, 230764, 1285, 119055, 35596, 3131, 218241, 1644, 12483, 7746, 2200, 119055, 53414, 17824, 75230, 2702, 5, 10069, 3069, 5666, 75230, 111137, 1644, 54260, 194734, 185182, 48253, 80453, 54260, 28320, 7746, 2205, 4269, 48904, 64213, 364, 75230, 4852, 5, 92500, 1285, 46654, 63593, 44779, 292, 10339, 71804, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 2200, 119055, 53414, 43449, 29771, 5, 1982, 29771, 30750, 11265, 4113, 364, 35596, 9424, 65482, 63532, 4, 1644, 75230, 40920, 95455, 41764, 12130, 11265, 2702, 2200, 43449, 141943, 2882, 5, 2451, 4838, 20632, 2882, 65307, 5, 2451, 4838, 20632, 2882, 4231, 29766, 5, 292, 17494, 29659, 22753, 874, 54260, 23269, 43449, 171433 ]

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

[ 20315, 364, 29766, 5, 92500, 1285, 46654, 63593, 44779, 292, 46654, 29771, 21066, 29771, 4, 119718, 53414, 7508, 75230, 2882, 2200, 119055, 53414, 43449, 29771, 5, 8894, 104038, 7265, 4838, 7508, 54260, 35189, 364, 75322, 6093, 19302, 71577, 2882, 4, 95455, 1470, 54260, 56880, 4269, 69181, 92500, 37640, 20260, 12483, 145813, 12415, 64213, 163139, 4838, 1751, 80453, 54260, 5, 26612, 7508, 54260, 6293, 37826, 7213, 51723, 1470, 75230, 2702, 8903, 186565, 2648, 2882, 92500, 132025, 8903, 225975, 2882, 152, 2451, 874, 54260, 1211, 7508, 54260, 21066, 4, 4269, 54260, 5, 26394, 4484, 54260, 205131, 7746, 230764, 6, 159696, 2932, 2200, 620, 137218, 4667, 10069, 7508, 54260, 6293, 292, 3069, 10339, 21106, 12483, 95455, 160751, 64260, 5, 1982, 15533, 1470, 54260, 5666, 2865, 39083, 2205, 4838, 34072, 83182, 6, 76776, 40920, 35189, 506, 77188, 1285, 7508, 54260, 6293, 152, 36419, 41764, 71804, 56169, 4838, 7508, 29766, 5, 95766, 21776, 15388, 4, 43449, 64260, 4113, 4, 115222, 21295, 2200, 163139, 13497, 17160, 54260, 47332, 43649, 54260, 1211, 4838, 45521, 38054, 6, 47351, 1470, 75230, 2702, 8903, 2648, 23173, 125830, 4, 69355, 6, 113889, 4852, 192956, 2442, 1751, 226112, 63532, 564, 137119, 2200, 7508, 41595, 92500, 119055, 77188, 2205, 43449, 64260, 4113, 6319, 186955, 2200, 1751, 119718, 23173, 7611, 5, 35189, 119055, 29771, 15388, 564, 54260, 98833, 7746, 4, 292, 64260, 7369, 22753, 185226, 711, 23173, 14088, 7243, 29771, 6319, 54260, 1211, 67826, 1982, 44779, 4, 364, 54260, 6293, 5, 20315, 2050, 115556, 16667, 30109, 4113, 4944, 7611, 1285, 6, 76776, 40920, 56170, 3131, 164461, 2882, 152, 2451, 119055, 10705, 235466, 18225, 4, 45521, 38054, 874, 54260, 16667, 4, 182261, 4838, 7508, 54260, 6293, 705, 1065, 4828, 10114, 8903, 7916, 33716, 37826, 115556, 56170, 6, 238144, 1982, 2200, 192544, 144754, 32054, 54260, 2648, 2200, 7544, 79950, 54260, 2882, 2205, 160751, 54260, 1211, 2648, 120467, 9721, 75230, 2882, 199145, 7369, 37826, 364, 54260, 13497, 56170, 2648, 41595, 4, 2648, 120467, 9721, 75230, 2882, 56170, 364, 17310, 6093, 125897, 9424, 54260, 1211, 5, 6093, 6, 238144, 16803, 152, 2205, 67826, 17160, 9424, 48904, 20911, 4838, 121193, 75230, 2882, 92500, 67882, 24621, 620, 73381, 77188, 1470, 54260, 1211, 95455, 192544, 152, 2451, 4151, 16175, 174121, 119055, 29060, 364, 54260, 13497, 6, 199511, 9721, 75230, 2882, 4, 35189, 16175, 174121, 37826, 364, 54260, 13497, 9721, 75230, 2882, 56170, 2648, 41595, 5, 35189, 119055, 29771, 15388, 10339, 186955, 4, 95455, 45521, 38054, 6, 26394, 12890, 16747, 2882, 10069, 1470, 75230, 2702, 8903, 7511, 8300, 18415, 4, 10339, 75230, 28726, 620, 54260, 6293, 5, 2451, 3496, 26, 85465, 200117, 9721, 75230, 2882, 7265, 168677, 364, 54260, 13497, 56170, 2648, 41595, 4, 119718, 10705, 235466, 18225, 2205, 4151, 6, 76776, 40920, 4838, 7508, 54260, 6293, 705, 92500, 162726, 34365, 164461, 34072, 56169, 4838, 37640, 20260, 2200, 4269, 69181, 92500, 125523, 4, 2200, 125523, 4, 292, 4838, 37640, 20260, 43178, 3131, 80453, 54260, 5, 26612, 7508, 54260, 6293, 37826, 7213, 51723, 1470, 75230, 2702, 8903, 186565, 2648, 2882, 92500, 132025, 8903, 225975, 2882, 152, 2865, 54260, 1211, 7508, 54260, 21066, 4, 3523, 54260, 5, 1982, 26612, 2050, 119055, 29771, 15388, 657, 176727, 4838 ]

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

[ 7508, 54260, 6293, 2200, 43449, 141943, 2882, 92500, 1751, 80453, 54260, 2882, 4838, 68550, 4838, 43449, 29771, 44779, 3944, 40920, 5, 36419, 235466, 4151, 115556, 22753, 2205, 1285, 364, 35596, 92500, 6, 225975, 2882, 56170, 119718, 10705, 83182, 2882, 152, 2451, 101251, 8903, 120749, 5, 268, 5666, 29766, 193042, 710, 119718, 21292, 26612, 710, 4, 4151, 7201, 23173, 4838, 6, 94741, 20260, 119718, 120467, 3373, 26, 506, 64260, 6235, 101296, 40920, 7746, 3069, 4151, 364, 84577, 5, 2648, 120467, 7508, 142429, 56170, 120749, 4, 2200, 7265, 6235, 170355, 128083, 120467, 45521, 38054, 2205, 119055, 29771, 15388, 1470, 54260, 23405, 79238, 22426, 84577, 5, 20315, 2050, 4269, 48904, 64213, 6, 159696, 2932, 37826, 7508, 54260, 6293, 6235, 2932, 69181, 4, 195054, 75230, 40920, 1211, 7265, 4838, 37640, 20260, 43178, 3131, 80453, 54260, 5, 2451, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 26612, 7508, 54260, 6293, 37826, 7213, 51723, 1470, 75230, 2702, 8903, 186565, 2648, 2882, 92500, 132025, 8903, 225975, 2882, 152, 2451, 874, 54260, 1211, 7508, 54260, 21066, 4, 3523, 54260, 5, 268, 21066, 710, 12483, 7201, 54260, 21847, 147582, 12483, 4, 119718, 41595, 1211, 147582, 12483, 4, 21066, 710, 12483, 7369, 137377, 71804, 49008, 4, 29771, 75578, 6255, 2200, 16175, 174121, 2865, 75322, 73381, 29766, 1211, 133190, 230764, 27702, 49008, 5, 4944, 26, 115518, 1285, 10339, 54260, 8903, 44779, 28798, 22492, 92500, 10676, 163139, 13497, 4, 1285, 7369, 137377, 71804, 49008, 5, 4944, 26, 119718, 39083, 2882, 4838, 112216, 48253, 6235, 97634, 1211, 1285, 147582, 21847, 12483, 4, 1982, 15533, 73784, 11211, 17017, 36324, 3131, 4151, 21066, 710, 12483, 95766, 4151, 6, 119312, 7746, 132025, 13342, 3131, 22426, 710, 21847, 12483, 95766, 1285, 3944, 40920, 125897, 56170, 94626, 12483, 5, 1982, 26612, 4151, 6, 119312, 119055, 39083, 2882, 6255, 160751, 213783, 2932, 39083, 2648, 56170, 874, 54260, 23269, 364, 23173, 4838, 12890, 35044, 4, 238144, 1644, 3373, 26, 506, 64260, 16175, 174121, 143064, 3069, 34076, 213783, 506, 29766, 199145, 167048, 21106, 1211, 3120, 220224, 33960, 46053, 5, 92500, 27702, 2050, 11211, 17017, 119055, 13845, 6255, 6, 87311, 49008, 7201, 23173, 1285, 1470, 75230, 15388, 37640, 20260, 12483, 43449, 29771, 4113, 4, 16803, 39083, 3120, 220224, 1285, 67882, 24621, 192183, 12483, 36326, 22426, 1211, 6, 173967, 4269, 48904, 26394, 97816, 26, 12483, 5, 5666, 29766, 56170, 20033, 4, 292, 123736, 4, 6, 119312, 6235, 23822, 54260, 4113, 4, 119718, 10705, 3056, 182261, 1285, 191795, 30750, 16175, 86733, 23269, 705, 2702, 26, 2932, 54260, 2882, 20033, 1470, 75230, 2702, 125523, 11265, 95455, 6, 51172, 175323, 13159, 119718, 710, 22753, 10339, 147713, 2882, 205026, 230191, 212632, 5, 13330, 30473, 56169, 27702, 2050, 45223, 7201, 84577, 4838, 147582, 2932, 2808, 75230, 6293, 4151, 6, 113889, 4852, 30473, 56169, 27702, 2050, 45223, 7201, 84577, 4838, 147582, 2932, 230764, 4151, 6, 113889, 4852, 4, 26612, 147582, 5666, 230764, 4151, 6, 113889, 4852, 5, 1982, 54260, 16803, 70845, 2200, 21374, 34709, 2882, 4, 36324, 3373, 26, 68313, 4838, 56170, 13982, 120467, 4, 165592, 3373, 68313, 4838, 56170, 13982, 120467, 5, 2932, 15907, 4151, 45223, 7201, 84577, 230764, 11265, 4838, 6235, 25391, 54260, 4, 2808, 75230 ]

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

[ 6293, 11265, 4838, 6235, 25391, 54260, 152, 21066, 93975, 147713, 29766, 219947, 4, 56170, 119132, 7746, 2200, 3523, 54260, 4, 7201, 23173, 119132, 7746, 2200, 3523, 54260, 5, 29771, 75578, 1285, 147582, 2932, 6, 105515, 4838, 9934, 60732, 2200, 4838, 147582, 4, 26612, 9934, 60732, 2200, 4838, 147582, 4, 2932, 15907, 2205, 4151, 364, 75230, 2882, 70845, 4838, 1751, 97634, 4667, 2200, 4838, 78956, 4, 26612, 1751, 97634, 4667, 2200, 4838, 78956, 5, 159696, 33716, 1751, 75230, 1211, 4151, 45223, 7201, 84577, 2205, 88771, 26, 1211, 564, 54260, 4852, 4, 95766, 88771, 26, 1211, 564, 54260, 4852, 5, 1982, 212484, 2882, 7265, 4151, 6, 113889, 4852, 4, 36324, 3373, 26, 1982, 26612, 2932, 34533, 70845, 4838, 1751, 238144, 2702, 4, 165592, 3373, 26, 1982, 26612, 2932, 34533, 70845, 4838, 1751, 238144, 2702, 5, 2882, 48904, 56169, 70845, 6, 23173, 54260, 1211, 2205, 1470, 75230, 6093, 1285, 147582, 2932, 4, 95766, 1470, 75230, 6093, 1285, 147582, 2932, 4, 7511, 2882, 70845, 4838, 6, 163177, 22151, 36326, 4, 4838, 6, 203326, 2200, 4838, 41764, 7682, 4, 26612, 6, 203326, 2200, 4838, 41764, 7682, 5, 9285, 1644, 75230, 23741, 1751, 75230, 1211, 4151, 45223, 7201, 84577, 2205, 119055, 21106, 2648, 2200, 7369, 22518, 54260, 2882, 4, 95766, 119055, 21106, 2648, 2200, 7369, 22518, 54260, 2882, 4, 2442, 54260, 16803, 1470, 75230, 2702, 7265, 9424, 29766, 1211, 4838, 564, 75230, 2050, 2200, 9424, 37016, 54260, 2882, 4, 26612, 564, 75230, 2050, 2200, 9424, 37016, 54260, 2882, 5, 7511, 2882, 7746, 4838, 119055, 29766, 6293, 230764, 6, 47351, 123736, 25207, 51723, 151614, 4852, 4, 47351, 123736, 25207, 51723, 151614, 4852, 5, 22680, 4113, 98833, 7243, 56170, 119718, 120467, 152, 4838, 147582, 2932, 230764, 4151, 6, 113889, 4852, 4, 26612, 147582, 2932, 230764, 4151, 6, 113889, 4852, 5, 22426, 7682, 148620, 45223, 7201, 84577, 36324, 75230, 163139, 4838, 1751, 120467, 4, 165592, 75230, 163139, 4838, 1751, 120467, 5, 2865, 21106, 22426, 13159, 133190, 6, 71804, 12984, 152, 2451, 4838, 147582, 2932, 230764, 4151, 6, 113889, 4852, 4, 26612, 147582, 2932, 230764, 4151, 6, 113889, 4852, 5, 11703, 119312, 2200, 192544, 1470, 75230, 33225, 163139, 13497, 9719, 2648, 3056, 95455, 192544, 4, 127461, 3120, 46440, 5, 9719, 4667, 3056, 1285, 6, 119312, 4, 205026, 3120, 3944, 40920, 5, 31249, 29771, 33225, 564, 54260, 20315, 4, 292, 6, 95494, 2200, 67826, 1644, 5, 76776, 40920, 3056, 10184, 57619, 16932, 2200, 6235, 120749, 5, 29771, 75578, 1285, 6, 119312, 107776, 73784, 192544, 4, 2442, 75230, 63532, 70845, 1470, 54260, 1211, 4838, 192556, 152, 2451, 4151, 119718, 26612, 4667, 711, 4944, 26, 506, 26612, 1982, 160751, 48775, 40920, 7265, 6, 18167, 10676, 163139, 13497, 27909, 4944, 72631, 54260, 28320, 364, 54260, 13497, 1285, 6, 76776, 40920, 5, 119312, 2200, 192544, 1470, 75230, 33225, 163139, 120580, 54260, 18406, 40653, 220273, 6093, 6, 159696, 21295, 4, 115518, 6, 94741, 2050, 21374, 41731, 1470, 1751, 104855, 4231, 4, 12890, 14303, 119718, 120467, 2205, 99509, 7265, 6, 148346, 2442, 34322, 2882, 2200, 115222, 21295, 5, 119312, 204982, 10676, 163139, 13497, 4838, 27702, 61541, 152, 105780, 56169, 123073, 6, 76776, 40920, 27702, 50853, 6, 89930, 54260, 2702 ]

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

[ 711, 92500, 119055, 23173, 23741, 6, 23173, 137377, 3069, 4151, 1751, 159696, 1644, 119718, 23173, 4113, 51723, 1751, 54260, 1211, 12065, 54260, 16667, 238144, 2702, 5, 119718, 23173, 4113, 51723, 1751, 54260, 1211, 99509, 4113, 185182, 23093, 64260, 1285, 67882, 24621, 132025, 8903, 36326, 22426, 2882, 92500, 3069, 1285, 114955, 3069, 8903, 5666, 35596, 152, 2451, 3523, 40096, 1470, 54260, 4667, 119055, 23173, 141564, 54260, 2882, 2200, 17190, 47332, 5, 5666, 7221, 10114, 2451, 9721, 75230, 2882, 3069, 10676, 3944, 40920, 4, 67882, 24621, 4, 33960, 1982, 4, 292, 506, 29771, 18406, 1285, 114955, 67826, 1644, 6, 238197, 5, 92500, 1285, 67882, 24621, 37826, 220224, 143064, 4, 225975, 2882, 22753, 152, 2451, 874, 29766, 15388, 4, 182261, 3056, 145813, 29060, 5, 29771, 75578, 95455, 192544, 37826, 221387, 165592, 2205, 4151, 1751, 104855, 364, 17310, 6093, 22518, 54260, 2882, 4, 506, 64260, 8947, 10676, 163139, 13497, 101251, 8903, 75290, 2882, 92500, 4151, 6, 119312, 6235, 506, 54260, 46053, 152, 2451, 7508, 54260, 2882, 711, 2932, 15907, 1285, 6, 119312, 10676, 163139, 13497, 4838, 6, 101328, 2932, 4, 2932, 15907, 4151, 163139, 13497, 7746, 27702, 50853, 4838, 6, 121865, 4, 92500, 220224, 6, 199511, 125523, 56170, 97634, 124900, 75230, 2882, 2200, 6, 172060, 16932, 4, 151614, 29171, 4, 6, 99611, 5, 101296, 24621, 37826, 6, 147502, 27702, 50853, 6235, 23847, 54260, 2882, 152, 2451, 6, 119273, 7746, 4, 114955, 4, 6, 68558, 3069, 9934, 40096, 5, 22680, 4113, 98833, 1751, 75230, 1211, 220273, 219947, 163139, 21066, 32054, 54260, 2648, 16580, 83182, 57973, 6428, 99766, 6235, 506, 40096, 5, 119312, 37826, 10676, 163139, 13497, 120202, 8903, 3131, 93449, 92500, 95455, 192544, 4838, 506, 54260, 2050, 160751, 48775, 40920, 5, 16580, 16747, 2205, 564, 29060, 56170, 31249, 29771, 33225, 657, 176727, 4, 292, 4484, 54260, 59461, 6, 238144, 16803, 7243, 3120, 4151, 6, 76776, 40920, 5, 1065, 8934, 10114, 13982, 54260, 6, 238144, 36419, 21422, 8903, 44779, 4, 292, 2808, 54260, 16667, 37826, 1470, 75230, 33225, 43649, 53414, 4838, 7508, 75230, 28320, 46654, 37016, 4, 2808, 54260, 16667, 6, 226112, 98833, 4838, 48706, 141847, 109316, 2205, 6, 37016, 4, 5666, 29766, 95455, 29434, 710, 18415, 874, 37016, 29060, 4269, 48904, 26394, 193012, 5, 147455, 109316, 16175, 54260, 93497, 4, 147455, 109316, 22518, 54260, 6093, 4, 4944, 26, 159696, 1644, 56170, 3131, 22426, 23173, 1211, 1285, 4667, 2205, 43649, 21106, 4, 159696, 2882, 124724, 1054, 53414, 12023, 16932, 4269, 21106, 5, 13982, 54260, 6, 238144, 36419, 21422, 8903, 44779, 4, 292, 2808, 54260, 16667, 292, 4838, 6, 76776, 86733, 1211, 292, 6, 119273, 133190, 6235, 39340, 4944, 7611, 4, 2808, 54260, 16667, 4838, 223779, 2442, 3373, 107182, 65482, 9424, 87309, 91595, 4, 5666, 29766, 95455, 29434, 710, 18415, 7265, 1285, 49920, 59461, 43649, 91595, 5, 147455, 109316, 16175, 54260, 93497, 4, 147455, 109316, 10339, 54260, 6093, 4, 4944, 26, 159696, 1644, 56170, 12890, 16747, 1211, 124724, 1285, 6, 131445, 4, 159696, 126934, 163139, 46053, 163139, 72577, 73095, 3056, 5, 418, 13982, 54260, 6, 238144, 36419, 21422, 8903, 44779, 4, 292, 2808, 54260, 16667, 22753, 56169, 1470, 54260, 5666, 8903, 104985, 29060, 230764, 4151, 1751, 159696, 1644, 4 ]

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

[ 2808, 54260, 16667, 27702, 2050, 1470, 75230, 119718, 1211, 119055, 23173, 63593, 2882, 7746, 3120, 115222, 21295, 4, 5666, 29766, 95455, 29434, 710, 18415, 4838, 177282, 75230, 23741, 1470, 75230, 33225, 45521, 50853, 5, 147455, 109316, 16175, 54260, 93497, 4, 147455, 109316, 6, 51172, 175323, 13159, 4, 81050, 98252, 4, 4151, 21776, 15388, 4269, 34533, 4, 76776, 184855, 6, 147455, 109316, 199145, 18133, 564, 34533, 5, 1065, 12243, 10114, 119718, 710, 97594, 2648, 132, 69355, 143628, 3131, 16, 31249, 29771, 6293, 4, 874, 54260, 1211, 192544, 4, 1285, 1470, 75230, 15388, 620, 21292, 4, 31249, 29771, 33225, 56170, 4838, 192544, 3056, 22753, 2702, 5, 2702, 26, 119718, 116628, 1285, 4667, 4, 874, 54260, 1211, 192544, 4, 4838, 10918, 16747, 142429, 44478, 4, 6, 119312, 2200, 67826, 59919, 119718, 41595, 5, 93704, 44478, 3069, 1285, 6, 61541, 56880, 147582, 2882, 4, 119312, 37826, 364, 41595, 6093, 10213, 48974, 56170, 2932, 69181, 4, 113889, 4667, 29434, 54260, 193012, 4, 292, 163139, 3373, 26, 68313, 27702, 3131, 77188, 4, 292, 506, 64260, 7746, 163139, 13497, 4838, 506, 54260, 2865, 8903, 75290, 2882, 5, 22680, 4113, 98833, 1285, 67882, 24621, 152, 2451, 163139, 13497, 4, 874, 54260, 1211, 32054, 54260, 2648, 4, 119718, 10705, 151614, 126934, 7746, 101251, 8903, 13982, 54260, 2882, 705, 10918, 7265, 43649, 53414, 7746, 6235, 25616, 41595, 4, 29771, 35189, 3496, 119718, 21106, 710, 13159, 564, 54260, 4852, 6235, 119718, 176727, 705, 2451, 3496, 26, 85465, 200117, 6319, 54260, 1211, 3496, 119718, 21106, 710, 13159, 7243, 6235, 119718, 39083, 2882, 4, 219947, 6319, 54260, 1211, 1751, 16932, 16747, 44779, 3120, 4269, 39083, 2648, 4, 5666, 29766, 4838, 192544, 151614, 1982, 6255, 6235, 506, 15907, 69355, 4151, 6, 119312, 199145, 37826, 6235, 2932, 69181, 5, 418, 9318, 10114, 2865, 9416, 105884, 2882, 4944, 71577, 2882, 7746, 230764, 3120, 620, 29771, 6293, 56170, 94626, 4, 119718, 710, 1285, 6, 119312, 204982, 70845, 4838, 34076, 29060, 4, 1982, 21106, 2648, 95455, 9424, 23174, 109316, 4838, 21422, 4, 292, 2865, 9416, 105884, 2882, 5, 29659, 2442, 87442, 1285, 364, 35596, 44779, 4, 2442, 54260, 16803, 1285, 119055, 35596, 44779, 17268, 119132, 564, 29060, 5, 1982, 212484, 2882, 1285, 564, 37016, 44779, 4, 21733, 23174, 2882, 1285, 34076, 37016, 44779, 4, 292, 2865, 9416, 105884, 2882, 5, 2451, 6, 212484, 125523, 620, 29771, 33225, 4, 3373, 68313, 125523, 40026, 4, 292, 225975, 2882, 1285, 67882, 24621, 7265, 160751, 29060, 4, 29771, 75578, 874, 9416, 4, 292, 119055, 6093, 2200, 163139, 705, 2865, 9416, 105884, 2882, 5, 2451, 3496, 26, 159696, 1644, 6428, 54260, 1211, 21422, 214766, 4, 119718, 15350, 35189, 13342, 12890, 16747, 1211, 73784, 564, 29060, 5, 292, 71804, 40920, 7369, 95298, 152, 2451, 3056, 167048, 7682, 4838, 4269, 90848, 75578, 705, 92500, 7369, 105884, 2882, 5, 5666, 104116, 5, 506, 6093, 31249, 506, 6093, 15908, 6093, 31249, 364, 54260, 16803, 874, 54260, 1211, 90284, 35189, 4, 225975, 2882, 7369, 152, 2451, 4838, 94741, 4, 49920, 3523, 23173, 4, 34079, 17017, 126934, 2200, 22444, 35189, 16803, 4, 159696, 2442, 6255, 49920, 3131, 7265, 49920, 59461, 92500, 6255, 33960, 1982, 124724, 215031, 1751, 97634, 4667, 4, 165592 ]

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

[ 3373, 26, 159696, 2882, 6, 238144, 97634, 1211, 124724, 4838, 119055, 29771, 4667, 5, 4944, 26612, 4944, 26612, 4, 4838, 3111, 4, 4838, 49920, 31249, 119055, 6093, 133190, 5, 5666, 139303, 5, 154739, 2648, 65482, 112216, 159696, 4484, 177148, 6235, 21066, 75230, 15388, 1285, 57906, 2648, 65482, 112216, 159696, 21847, 54260, 4667, 3069, 6, 93704, 59929, 163139, 21847, 5, 225975, 2882, 11265, 4838, 94741, 152, 2451, 3373, 26, 68313, 6, 178107, 78683, 159696, 119718, 120467, 3056, 230764, 6428, 54260, 1211, 147582, 21847, 705, 2451, 199145, 9934, 21106, 220224, 1211, 705, 6, 76776, 4, 55242, 2190, 9719, 119364, 5, 2451, 123736, 4, 56170, 20033, 705, 56170, 6, 159696, 51723, 705, 22426, 26612, 159696, 2932, 39083, 2648, 4, 4838, 221067, 12023, 126934, 5, 24621, 2932, 6255, 6, 21106, 8300, 218710, 6, 101470, 705, 2451, 6, 119132, 56170, 7746, 2200, 6, 119132, 56170, 7038, 129891, 4, 119132, 56170, 63259, 105330, 1211, 4, 56170, 3944, 79981, 5, 4944, 26, 85465, 200117, 1285, 6, 170355, 107581, 44779, 6235, 17268, 49008, 7201, 23173, 1285, 114955, 44779, 3069, 46440, 1211, 5, 62808, 4838, 6, 59919, 55546, 2200, 4838, 32887, 21733, 4, 11556, 129891, 6, 64260, 1285, 7369, 137377, 71804, 49008, 4, 7972, 79981, 33960, 1982, 6255, 133190, 95455, 34076, 37016, 17410, 2884, 56170, 63259, 105330, 1211, 1285, 27702, 49008, 5, 22426, 26612, 159696, 147582, 2882, 4838, 905, 37016, 3120, 6, 94741, 49008, 144754, 9424, 79238, 80453, 54260, 18415, 57906, 2648, 65482, 147582, 21847, 5, 59919, 55546, 4, 32887, 21733, 4, 7369, 137377, 71804, 49008, 4, 292, 21106, 7611, 27702, 6, 93704, 21106, 12483, 2205, 163139, 21847, 5, 5666, 10031, 10114, 4484, 186955, 3056, 4151, 6, 119312, 4484, 186955, 3056, 4151, 6, 119312, 4, 37826, 22753, 7746, 1470, 54260, 23405, 20616, 710, 21295, 4, 144754, 1285, 119055, 39083, 4484, 16667, 7746, 3069, 8903, 2648, 87442, 5, 2451, 3056, 11265, 6319, 186955, 4, 21422, 3373, 26, 68313, 133190, 4838, 46440, 705, 506, 64260, 205026, 63259, 7972, 21733, 6235, 22680, 4113, 98833, 5, 4484, 186955, 3056, 4151, 6, 119312, 4, 6, 238144, 1644, 20033, 3056, 1470, 75230, 4667, 6319, 186955, 4, 4944, 26, 85465, 200117, 95298, 143064, 1285, 6, 119312, 119055, 12483, 22753, 167048, 186955, 5, 5666, 12069, 10114, 3131, 5666, 54260, 4, 9915, 54260, 4, 6, 238144, 101608, 9915, 54260, 4, 4944, 26, 506, 26612, 1982, 230764, 124724, 4838, 4231, 23173, 6235, 81050, 4852, 36326, 364, 54260, 13497, 2200, 205026, 4151, 22680, 54260, 4, 4852, 54260, 3523, 54260, 2882, 36324, 75230, 1470, 54260, 23405, 79238, 22426, 23173, 2882, 5, 4944, 26, 506, 26612, 1982, 4838, 620, 161577, 44458, 23269, 23847, 54260, 2882, 4, 506, 35596, 126968, 2050, 119055, 23173, 4113, 24621, 4838, 186046, 4, 7201, 21106, 230764, 6, 119859, 46053, 4, 10339, 21106, 230764, 46654, 54260, 2882, 4, 7201, 21106, 230764, 874, 54260, 23269, 43449, 171433, 20315, 364, 29766, 5, 506, 64260, 4151, 9915, 54260, 205026, 3069, 8903, 506, 77188, 4, 68313, 6, 130991, 292, 133190, 564, 208048, 40920, 5, 14004, 83182, 94626, 3056, 6, 238144, 2702, 1285, 7369, 2648, 4, 238144, 2702, 4151, 564, 75230, 2050, 2200, 6, 238144, 2702, 4151, 6, 94741, 4667, 5, 112593, 65442, 7501, 6255, 230764 ]

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

[ 124724, 1751, 57277, 24152, 4, 29257, 56170, 119132, 7746, 27702, 50853, 2200, 4269, 54260, 5, 29771, 75578, 115825, 48253, 7682, 3056, 4151, 27702, 48974, 4, 17160, 54260, 1982, 1751, 75230, 1211, 81444, 4, 874, 54260, 1211, 620, 91595, 6093, 9915, 54260, 27, 71, 2865, 9416, 2200, 63259, 105330, 2865, 9416, 163139, 6, 78683, 159696, 3056, 9721, 75230, 1211, 4, 101080, 105330, 3056, 43449, 29771, 16747, 163139, 167048, 75230, 4, 168892, 95298, 7501, 4838, 186046, 3131, 75230, 1211, 4, 292, 1982, 29771, 30750, 6, 21106, 54260, 1211, 9934, 29771, 13497, 36324, 75230, 5, 2865, 9416, 6, 225975, 2882, 152, 2451, 4838, 94741, 28726, 4, 33960, 1982, 5, 101080, 105330, 235466, 6, 21106, 8300, 218710, 6, 21106, 54260, 1211, 5, 29771, 75578, 3496, 26, 85465, 200117, 564, 54260, 20315, 220224, 143064, 4, 159696, 1211, 3523, 23173, 220224, 6, 104378, 3069, 2932, 54260, 1211, 5, 2865, 9416, 160238, 2882, 40611, 230764, 874, 54260, 1211, 27702, 7682, 4, 101080, 105330, 657, 75230, 23741, 40611, 2200, 7369, 22518, 54260, 2882, 4, 168892, 22753, 7611, 37640, 5666, 238144, 2882, 16667, 2200, 1751, 238144, 2932, 92500, 292, 3496, 26, 506, 26612, 1982, 220224, 143064, 37640, 83182, 238144, 2882, 5, 1065, 3131, 29771, 6293, 7265, 46711, 75230, 6093, 125897, 115222, 22426, 3131, 29771, 6293, 7265, 46711, 75230, 6093, 125897, 115222, 22426, 506, 29771, 18406, 7746, 2205, 45521, 50853, 74806, 28726, 22426, 2882, 5, 3131, 119718, 23173, 26394, 4, 6, 238144, 36419, 4, 7508, 75230, 18415, 1751, 29771, 6293, 4, 92500, 95455, 45521, 50853, 3056, 47833, 4838, 77208, 5, 7201, 29766, 13497, 78104, 137377, 39340, 2882, 4151, 46601, 47351, 144754, 1211, 17806, 149364, 21847, 218241, 115825, 1211, 21847, 47351, 5, 2702, 26, 61541, 2648, 3056, 3523, 92605, 29060, 4, 43649, 91595, 1285, 81414, 2882, 4, 94741, 25207, 30109, 71577, 710, 159696, 163139, 10339, 54260, 6093, 564, 166198, 5, 23847, 88680, 292, 81414, 71577, 5, 17160, 174121, 292, 85658, 71577, 5, 21733, 23174, 2882, 4151, 34076, 218241, 163139, 4838, 6235, 238144, 1211, 5, 9719, 4667, 1285, 1751, 29771, 6293, 3120, 3523, 54260, 1211, 2200, 4269, 54260, 1211, 5, 95494, 6293, 7265, 46711, 75230, 6093, 125897, 115222, 22426, 506, 29771, 18406, 7746, 2205, 45521, 50853, 74806, 28726, 22426, 2882, 4, 1982, 15533, 1285, 6, 76776, 40920, 37826, 220224, 56170, 87637, 21295, 5, 158853, 34709, 17310, 292, 364, 77188, 152, 4838, 10339, 54260, 21066, 46440, 2882, 92500, 4838, 657, 63593, 22426, 1644, 42493, 4838, 1751, 54260, 1211, 5, 4852, 21106, 8947, 220224, 6093, 112216, 80885, 4667, 220224, 1211, 705, 39340, 22426, 160751, 75230, 15388, 4, 81414, 2882, 56170, 29659, 710, 21295, 4, 506, 54260, 123103, 119055, 77188, 119055, 12483, 3373, 26, 87637, 177282, 12023, 21295, 4, 183512, 6093, 3131, 163139, 10676, 4269, 48904, 64213, 6, 57277, 20260, 164461, 2882, 4838, 10918, 16747, 4151, 17806, 149364, 21847, 218241, 5, 21847, 48904, 4113, 21847, 905, 4, 34076, 68558, 97594, 4, 113889, 4667, 4838, 6, 240863, 2200, 6, 76776, 4667, 4838, 21422, 4, 1065, 11251, 10114, 113889, 4667, 4838, 145813, 47351, 2200, 125523, 4838, 167048, 37016, 4, 292, 12890, 56880, 77208, 3120, 6, 17645, 119132, 119055, 43178, 5, 3131, 29771, 6293, 7265, 46711, 75230, 6093, 125897, 115222 ]

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

[ 22426, 506, 29771, 18406, 7746, 73784, 1751, 54260, 1211, 4151, 3131, 28726, 22426, 2882, 5, 119718, 10705, 3056, 112216, 80885, 4667, 705, 364, 106559, 230764, 6319, 54260, 21338, 176727, 6, 21106, 54260, 1211, 3069, 5666, 75230, 111137, 13982, 54260, 2882, 5, 13458, 35596, 2205, 657, 63593, 22426, 1644, 6428, 23173, 6093, 121193, 75230, 2882, 4, 2702, 26, 7201, 54260, 21066, 119055, 21106, 61397, 2882, 7746, 27702, 2050, 162726, 75230, 2882, 5, 21847, 239162, 21847, 905, 4, 34076, 68558, 97594, 4, 17160, 171433, 50273, 12483, 1751, 29771, 6293, 3120, 22639, 35189, 94626, 5, 2808, 31623, 16932, 10339, 21106, 1211, 30842, 115222, 22426, 4, 2808, 75230, 15388, 21923, 3069, 8903, 21733, 4113, 22426, 2882, 5, 1644, 21660, 16932, 19302, 17310, 292, 4269, 84642, 71804, 2808, 29771, 4, 92500, 4151, 112216, 80885, 4667, 3056, 7243, 29771, 5, 5, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 68959, 16629, 7511, 4, 6, 50273, 43178, 2200, 6, 50273, 48904, 29060, 506, 29771, 18406, 143064, 3069, 41764, 48775, 159696, 1211, 1751, 46545, 4, 68959, 16629, 7511, 6, 201237, 2882, 2200, 6, 50273, 76632, 105884, 2882, 92500, 6, 50273, 48904, 29060, 1751, 80453, 23174, 2882, 230764, 4838, 167048, 7682, 5, 68959, 36326, 99611, 364, 106559, 364, 54260, 16803, 7544, 82576, 6, 50273, 710, 4, 68313, 7369, 6319, 54260, 28726, 4944, 7682, 2200, 45521, 2882, 4, 3131, 22426, 159993, 7746, 7265, 70845, 6, 119859, 57619, 94626, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 3131, 109636, 16932, 657, 75230, 33225, 76961, 29434, 54260, 4, 292, 144754, 4838, 6, 57277, 69106, 4, 292, 230764, 4838, 6235, 159696, 2882, 4, 4484, 75230, 33225, 9721, 75230, 2882, 2205, 10213, 75290, 54260, 4, 292, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 2808, 54260, 35189, 1054, 120467, 2200, 1470, 54260, 35189, 119055, 12483, 4, 21733, 71577, 2882, 18225, 6, 48253, 159696, 4484, 13159, 2205, 4838, 9721, 29060, 4, 21106, 4113, 206994, 1211, 7265, 9721, 12483, 4, 292, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 2442, 54260, 46053, 6319, 23173, 81829, 3120, 4838, 564, 75230, 2050, 4, 25391, 54260, 2882, 220224, 183586, 89930, 152, 2451, 14856, 215594, 711, 144754, 6235, 25391, 54260, 4838, 177282, 75230, 33225, 6, 30033, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 16028, 137377, 8903, 121865, 1211, 1751, 31212, 2200, 19302, 54260, 2648, 4, 2808, 75230, 2702, 8903, 186565, 33716, 220273, 163139, 4838, 118473, 4, 2702, 26, 23173, 2882, 220224, 7243, 4, 4838, 12890, 14856, 4269, 54260, 2882, 4, 292, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 2702, 26, 68313, 1751, 75230, 1211, 6, 76776, 40920, 4, 2200, 192544, 92500, 4484, 54260, 21338, 176727, 1751, 75230, 1211, 1470, 75230, 2702, 8903, 97634, 1211, 2205, 564, 29060, 5, 159696, 68959, 36326, 10339, 54260, 23741, 230764, 4838, 16175, 144532, 22426, 54260, 2882, 705, 50273, 45619, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 5, 165592, 73095, 235466, 220224, 7243, 6319, 54260, 1211, 620, 29771, 6293, 4, 4944, 64260, 3131, 73095, 3056, 1751, 75230, 1211, 36324, 75230, 145813 ]

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

[ 29060, 5, 119718, 120467, 119055, 29060, 220224, 1211, 7265, 1470, 54260, 4667, 4151, 77208, 4, 50273, 76632, 4, 6, 50273, 76632, 2200, 6, 50273, 48904, 29060, 705, 5927, 6093, 3131, 2200, 115556, 506, 6093, 3131, 109316, 4, 7265, 30109, 75230, 49008, 506, 6093, 59461, 92500, 7265, 1285, 23269, 4, 34076, 54260, 107581, 6, 131445, 4, 506, 64260, 3120, 119055, 21106, 2648, 6, 26394, 238144, 1211, 4151, 59461, 22426, 12666, 34709, 23174, 7746, 6235, 97634, 1211, 4838, 6, 121865, 5, 1644, 75230, 23741, 95455, 49920, 3131, 109316, 7265, 21422, 16932, 4, 3131, 80453, 23174, 2882, 230764, 9424, 238144, 15388, 4, 1751, 80453, 23174, 2882, 2200, 10339, 186955, 4, 1982, 15533, 1285, 564, 54260, 46685, 119055, 53414, 7213, 16932, 92500, 73095, 6, 188301, 2882, 7746, 4151, 119055, 21106, 2648, 5, 113889, 12984, 119055, 21106, 2648, 292, 4838, 45521, 50853, 7265, 6319, 238144, 28320, 92500, 4838, 16175, 54260, 4667, 1285, 564, 25207, 15388, 119055, 26612, 29659, 5, 21847, 37016, 6093, 65902, 183216, 4, 6, 95494, 67873, 46654, 54260, 28320, 4, 292, 2702, 26, 506, 6093, 3131, 109316, 119055, 77188, 81444, 6, 26394, 48775, 29659, 5, 21106, 8300, 218710, 3056, 81444, 4838, 83182, 3131, 4, 4838, 83182, 3131, 4, 2702, 26, 68313, 6, 94741, 129165, 27105, 2200, 3373, 68313, 81444, 72577, 5, 506, 6093, 31249, 37826, 3120, 119055, 21106, 2648, 56170, 119718, 183512, 77188, 92500, 7369, 6, 238144, 16803, 7243, 199145, 14856, 6, 105515, 5, 50931, 850, 364, 77188, 7369, 4, 292, 6, 94741, 40920, 7746, 6, 51172, 175323, 13159, 4, 29771, 75578, 4838, 83182, 3131, 163139, 2205, 119055, 21106, 2648, 4, 219947, 220224, 90284, 51723, 4, 7243, 220224, 22518, 54260, 12483, 4, 5666, 29766, 4151, 6, 48775, 3131, 95455, 364, 23173, 7611, 9424, 79238, 22426, 186955, 5, 1065, 9464, 10114, 17268, 119132, 119055, 59929, 6093, 107776, 6, 84577, 39340, 15388, 2808, 75230, 6293, 9424, 238144, 6, 131445, 4838, 6, 56052, 6235, 29659, 186955, 4, 4484, 54260, 5666, 2865, 39083, 364, 40096, 7369, 7243, 27702, 8903, 105405, 165592, 26612, 3496, 26612, 17645, 148620, 119055, 21106, 2648, 5, 96302, 3131, 711, 292, 4151, 87311, 13497, 7369, 7746, 7265, 874, 151461, 5, 51172, 175323, 13159, 6, 225975, 1211, 152, 220224, 6235, 506, 15907, 711, 92500, 10676, 6, 159696, 2932, 37826, 7369, 56170, 1644, 75230, 61621, 4, 29659, 54260, 2882, 7369, 81444, 163139, 3069, 8903, 186565, 2648, 2882, 5, 96302, 3131, 107776, 3069, 2200, 364, 54260, 47332, 6, 68558, 34076, 213783, 4, 25391, 37016, 2200, 72577, 95564, 54260, 2882, 70845, 27702, 7201, 186955, 4, 119718, 23173, 46598, 115556, 16667, 364, 35596, 4, 163139, 6, 130929, 16932, 2808, 75230, 6293, 1285, 564, 54260, 46685, 148620, 119055, 21106, 2648, 5, 506, 6093, 31249, 2702, 1470, 75230, 15388, 119055, 53414, 9721, 75230, 59461, 4, 506, 6093, 3131, 5666, 26, 50931, 220224, 16667, 32054, 54260, 103023, 1751, 186955, 152, 2451, 87644, 115556, 4, 564, 34533, 7243, 6319, 54260, 1211, 24377, 22492, 4, 119718, 710, 14856, 6, 225975, 2882, 230764, 124724, 2205, 119055, 21106, 2648, 5, 2808, 31623, 16932, 657, 75230, 23741, 7508, 6093, 49920, 3131, 564, 48904, 54260, 13159, 4, 144754, 6235, 170355, 23405, 2205, 220224, 23269, 6, 131445, 4, 292, 13342, 4151 ]

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

[ 8300, 54260, 67873, 76961, 6, 51172, 175323, 13159, 165592, 4151, 115556, 4838, 72577, 6093, 3056, 5, 3149, 30473, 18406, 6, 148346, 23173, 3131, 657, 29771, 7201, 65482, 21374, 2932, 54260, 12483, 73784, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 2808, 54260, 23269, 6, 225975, 2882, 7038, 4, 1470, 54260, 23269, 6, 225975, 2882, 6, 87311, 4, 2808, 54260, 23269, 6235, 119718, 39083, 2882, 119055, 39083, 2882, 125523, 620, 29771, 33225, 4838, 97816, 4, 7972, 15388, 2205, 43649, 21106, 1470, 75230, 33225, 119055, 23173, 4113, 51723, 364, 54260, 5, 29771, 75578, 3373, 26, 506, 64260, 6, 50273, 171433, 710, 6235, 101296, 40920, 4838, 6235, 25391, 54260, 92500, 56170, 1285, 49920, 59461, 6, 193120, 4838, 29434, 54260, 5, 2932, 54260, 12483, 73784, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 65848, 20260, 12483, 27702, 2050, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 2808, 54260, 23269, 67882, 40920, 2376, 9183, 22426, 711, 1470, 54260, 23269, 67882, 40920, 85658, 71577, 711, 2808, 54260, 23269, 56170, 8903, 16803, 4269, 23173, 2205, 119055, 59929, 6093, 10676, 6319, 137377, 5, 2808, 54260, 23269, 620, 29771, 23741, 1470, 54260, 1211, 22639, 144754, 1211, 4838, 620, 17310, 5, 2808, 54260, 23269, 6, 212484, 2882, 40653, 2205, 29434, 75230, 46053, 1285, 3069, 23405, 5, 2808, 54260, 23269, 4151, 39293, 2882, 2205, 7508, 6093, 16175, 32097, 125523, 4838, 17806, 4, 225975, 2882, 22753, 11265, 152, 2451, 620, 4113, 59919, 7682, 7501, 6255, 163139, 18133, 4, 1065, 2808, 54260, 23269, 292, 1285, 22753, 30750, 18415, 292, 2205, 16175, 54260, 4667, 6, 23173, 54260, 1211, 162726, 710, 31212, 711, 119718, 23173, 23741, 11265, 125523, 6, 50273, 171433, 710, 4838, 9424, 89184, 36419, 119132, 1751, 31212, 4, 5666, 54260, 2882, 22753, 6, 23173, 88680, 2200, 657, 54260, 98833, 7746, 4838, 159696, 47063, 1644, 29771, 33225, 2205, 3523, 90848, 4852, 230764, 4231, 114436, 220224, 2882, 564, 25207, 2932, 5, 65848, 20260, 12483, 27702, 2050, 16175, 54260, 4667, 22639, 35189, 94626, 30473, 18406, 56170, 31249, 29771, 7201, 65482, 21374, 5, 1065, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 4944, 119718, 21106, 710, 13159, 1470, 75230, 33225, 16175, 54260, 10813, 6, 48775, 81829, 4, 2702, 26, 506, 40096, 6235, 25207, 105405, 133190, 119718, 120467, 4, 2808, 75230, 2702, 23269, 1982, 93704, 1211, 4, 120202, 8903, 119718, 26612, 81829, 4, 13458, 37016, 44779, 148620, 4269, 90848, 4852, 3069, 6, 76776, 81829, 2932, 54260, 12483, 6319, 40096, 126968, 2702, 564, 29766, 159696, 2702, 5, 2702, 26, 506, 75230, 20315, 1211, 7746, 27702, 2050, 119055, 59929, 6093, 115222, 17017, 12483, 144754, 1285, 1751, 159696, 25207, 151614, 68697, 13159, 4, 94741, 40920, 1211, 6, 94741, 40920, 7746, 4, 36324, 22753, 29434, 4113, 17017, 12483, 4, 5666, 29766, 220224, 6, 28317, 153222, 1211, 230764, 6, 78683, 97634, 159696, 2702, 152, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 5, 506, 13845, 7201, 84577, 1211, 2205, 10184, 95564, 13159, 620, 4113, 22426, 1211, 506, 54260, 163139, 99509, 4113, 6, 205416, 1982, 13159, 4, 2702, 26 ]

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

[ 94741, 40920, 7746, 220224, 123073, 1470, 75230, 15388, 19302, 4113, 22426, 1211, 4, 5666, 29766, 220224, 33960, 18406, 220224, 6, 47351, 5332, 33225, 12, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 5, 2702, 26, 84316, 12984, 1751, 159696, 2442, 6, 23173, 75230, 2702, 1285, 564, 53414, 69355, 1285, 43649, 54260, 59461, 5666, 29766, 13159, 4, 165592, 95455, 6, 104038, 26, 28726, 3069, 364, 53414, 19051, 112593, 51723, 220224, 6, 26394, 39293, 56169, 3069, 119055, 53414, 152, 4484, 40096, 126968, 2702, 3523, 54260, 12483, 564, 29766, 159696, 2702, 5, 5666, 29766, 1285, 6319, 40096, 126968, 2702, 6, 233284, 232187, 61621, 92500, 145813, 26612, 138194, 1211, 117902, 2442, 238144, 2702, 152, 2702, 26, 506, 54260, 47332, 219047, 220273, 219947, 6, 68558, 3069, 4838, 61621, 119718, 120467, 11265, 145813, 59929, 2882, 2200, 163139, 21295, 219047, 6, 76776, 61621, 4, 292, 4484, 40096, 126968, 2702, 4269, 54260, 12483, 564, 29766, 159696, 2702, 5, 5, 13556, 5, 1644, 16870, 17645, 39293, 44779, 3131, 80453, 710, 26394, 44478, 130929, 905, 13845, 16175, 48904, 64213, 4151, 22680, 54260, 2882, 4, 7972, 40920, 125897, 145813, 12415, 26394, 44779, 21776, 15388, 5, 1982, 26612, 159696, 2702, 95455, 6, 87311, 8903, 25207, 1470, 23174, 109316, 4269, 54260, 2882, 4, 1982, 29766, 159696, 2702, 6, 21106, 54260, 1211, 2205, 4151, 6235, 105405, 5, 4484, 186955, 3056, 10676, 22639, 23269, 28726, 4, 145813, 12415, 26394, 44779, 11265, 4, 57277, 57619, 1211, 182261, 178748, 2882, 11265, 7746, 27855, 51723, 4, 119718, 23173, 2882, 78278, 7369, 107776, 3069, 4838, 1751, 159696, 1644, 4, 3069, 4838, 16175, 9221, 4, 119718, 23173, 2882, 3496, 64260, 3131, 78278, 6255, 119055, 13845, 70845, 6, 101470, 5, 1065, 13342, 4151, 6, 119312, 2451, 56170, 119718, 120467, 37826, 32054, 54260, 44779, 22639, 35189, 94626, 8903, 22426, 40096, 29659, 7265, 147582, 21847, 12483, 364, 54260, 13497, 1285, 364, 2884, 705, 2451, 22753, 37826, 6235, 119718, 39083, 2882, 4838, 147582, 160204, 292, 147582, 92605, 4113, 15388, 4151, 9424, 79238, 23822, 21106, 16932, 6, 119312, 92500, 6255, 2200, 18133, 4, 2200, 7369, 2200, 22753, 4, 292, 62808, 163139, 67873, 76961, 3069, 4151, 6, 119312, 5, 12951, 3131, 75230, 18406, 10498, 54260, 10813, 12483, 2442, 75230, 2882, 1285, 1751, 104855, 4, 163139, 17806, 149364, 3523, 54260, 4, 238144, 2702, 4151, 6, 119859, 29171, 1470, 75230, 18406, 4, 165592, 6255, 4269, 54260, 1285, 1751, 104855, 56170, 1982, 54260, 4, 3131, 2865, 54260, 10813, 12483, 20033, 1285, 1751, 75230, 18406, 5, 2702, 26, 8903, 35044, 3056, 4838, 67826, 75386, 4, 4838, 19302, 54260, 16667, 4, 86070, 7265, 6, 238144, 36419, 16175, 75230, 18406, 4, 29771, 75578, 6255, 163139, 1644, 163139, 46053, 1470, 54260, 16667, 152, 4484, 171428, 10498, 54260, 10813, 12483, 1751, 75230, 18406, 152, 46464, 46685, 3056, 1285, 1751, 104855, 56170, 13458, 75230, 13497, 4, 55823, 57619, 16932, 1470, 75230, 111137, 506, 75230, 18406, 5, 292, 238144, 1644, 20033, 57973, 81444, 6235, 119718, 2808, 75230, 13497, 4, 3131, 2865, 54260, 10813, 12483, 20033, 1285, 1751, 75230, 18406, 5, 15276, 93704, 59929, 10339, 54260, 2932, 17410, 75230, 111137, 73381, 13497, 16175, 9221, 2200, 16175, 9221, 44779, 165592, 145813, 26612, 138194, 1211, 170479, 4151, 163139 ]

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

[ 13497, 5, 119718, 10705, 3056, 4838, 94741, 705, 292, 1751, 77188, 112216, 22426, 9221, 44779, 4, 238144, 2702, 163139, 9915, 54260, 2200, 1751, 119718, 23173, 7611, 163139, 16175, 41595, 5, 119718, 41595, 9721, 141847, 2882, 147582, 21847, 12483, 11265, 230764, 16888, 2442, 44779, 4, 12890, 16747, 2882, 220224, 6, 68558, 4, 2200, 1470, 54260, 16667, 2200, 9424, 238144, 152, 7201, 54260, 21847, 119055, 53414, 1285, 112216, 22426, 9221, 44779, 4, 3131, 119718, 23173, 7611, 163139, 16175, 41595, 2200, 6, 238144, 2702, 163139, 9915, 54260, 5, 95766, 4151, 364, 54260, 4667, 2200, 2205, 4151, 24012, 35189, 4, 144754, 4838, 46654, 40096, 6093, 4, 4838, 6235, 13982, 54260, 4, 21066, 710, 12483, 10339, 54260, 21847, 4, 292, 125523, 2200, 163139, 35189, 4, 3131, 119718, 23173, 7611, 163139, 16175, 41595, 2200, 6, 238144, 2702, 163139, 9915, 54260, 5, 95766, 118473, 141847, 13159, 2200, 6, 26394, 186565, 46053, 4, 2808, 54260, 23405, 37016, 5666, 75230, 21295, 2200, 1470, 75230, 2702, 8903, 3131, 80453, 54260, 2882, 4, 119718, 41595, 37826, 10339, 54260, 21847, 1470, 75230, 2702, 8903, 121865, 1211, 92500, 7265, 564, 54260, 168155, 220224, 6, 26394, 238144, 2882, 5, 23269, 119364, 506, 35596, 44779, 21923, 6, 93704, 59929, 4, 7201, 54260, 21847, 119055, 23173, 63593, 2882, 22753, 2205, 220224, 4, 119718, 15350, 22753, 4, 292, 147582, 12483, 4269, 48904, 26394, 48706, 93704, 13159, 4, 3131, 119718, 23173, 7611, 163139, 16175, 41595, 2200, 6, 238144, 2702, 163139, 9915, 54260, 5, 1065, 382, 10114, 39293, 4, 163139, 564, 106559, 88660, 1644, 9221, 18415, 6, 95494, 67873, 7201, 21106, 20315, 159696, 2882, 4151, 163139, 13497, 112216, 22426, 9221, 4, 292, 7201, 54260, 21847, 21923, 20033, 2200, 10339, 21106, 1211, 2808, 75230, 6293, 4838, 162726, 75230, 2882, 2200, 56170, 4838, 16175, 9221, 5, 93704, 26612, 26, 2702, 10339, 54260, 21847, 17288, 183216, 16175, 75230, 18415, 4, 144754, 1285, 147582, 21847, 3069, 8903, 80453, 119273, 4, 2808, 75230, 6293, 1285, 54745, 104238, 4, 230764, 1285, 162726, 75230, 28320, 4, 292, 1644, 54260, 103023, 3056, 182261, 6, 93704, 59929, 23050, 16803, 5, 16, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 219947, 3120, 364, 54260, 13497, 2200, 7243, 3120, 11211, 4, 2702, 68313, 6235, 159696, 1211, 98252, 7265, 6, 101328, 61621, 4, 95766, 4838, 8248, 46685, 22639, 35189, 94626, 236376, 7746, 3496, 109316, 2050, 119055, 12483, 2200, 163139, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 225975, 1211, 6428, 99766, 1285, 19302, 905, 8903, 657, 54260, 2882, 152, 2451, 8248, 46685, 119055, 92605, 16803, 81444, 4667, 6, 238144, 7611, 2200, 6, 88660, 61621, 4, 2702, 26, 13458, 35596, 1285, 6, 119312, 1285, 4269, 48904, 26394, 9424, 54260, 2882, 4, 1644, 29771, 62808, 56170, 6, 47351, 40653, 1982, 54260, 2882, 119312, 56170, 7746, 230764, 163139, 13497, 6093, 145813, 29766, 1211, 5, 46464, 46685, 292, 364, 54260, 2702, 2200, 163139, 13497, 6093, 292, 6319, 186955, 4, 219947, 3069, 4269, 54260, 1211, 2200, 7243, 3069, 160238, 1211, 4, 68313, 4151, 83031, 152, 6, 57277, 39340, 27702, 50853, 4, 119718, 710, 18225, 43649, 54260, 2882, 2200, 119055, 10705, 14856, 364, 186955, 4, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403 ]

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

[ 61621, 5, 29771, 75578, 163139, 705, 2190, 9719, 119364, 364, 77188, 152, 2808, 54260, 59461, 564, 212484, 2882, 2205, 49920, 160083, 29766, 1211, 4, 104378, 190246, 6, 68558, 7265, 10213, 38054, 4, 104378, 6, 238144, 75578, 4, 114955, 4, 45521, 38054, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 48775, 29659, 7746, 6428, 99766, 1211, 1751, 75230, 1211, 6235, 3111, 2932, 4, 226112, 15388, 1470, 54260, 112690, 39340, 2200, 117902, 61621, 4, 1065, 17461, 10114, 35189, 4838, 16175, 137377, 2200, 4151, 4838, 6319, 84662, 4, 292, 2808, 75230, 163139, 19302, 23964, 4, 220224, 21923, 19302, 23964, 119312, 230764, 163139, 13497, 6093, 6, 71577, 13342, 3131, 204403, 61621, 5, 2808, 54260, 59461, 22518, 54260, 2882, 6428, 99766, 152, 2451, 55242, 133190, 4, 6, 98055, 4, 2702, 26, 68313, 874, 54260, 1211, 16175, 137377, 1751, 75230, 1211, 99509, 6235, 119718, 29766, 1211, 5, 25391, 54260, 2882, 4838, 9424, 238144, 16932, 152, 2451, 99509, 874, 54260, 1211, 6319, 84662, 5, 2808, 75230, 163139, 19302, 23964, 4, 20033, 21923, 19302, 23964, 4, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 2882, 137377, 56170, 4852, 18640, 21295, 4, 10339, 59929, 56170, 3131, 22426, 106559, 4, 29659, 54260, 2882, 2205, 115222, 44478, 4, 1470, 75230, 33225, 220273, 1211, 4, 292, 96302, 3131, 4, 7195, 7758, 4, 45521, 38054, 2200, 364, 106559, 22680, 54260, 12483, 7746, 4, 6, 238144, 1644, 3373, 26, 68313, 203013, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 119718, 41595, 6093, 107776, 7265, 32054, 120467, 2882, 2200, 115222, 21295, 4, 73381, 13497, 18225, 1285, 32887, 22426, 292, 4838, 9424, 29766, 1211, 711, 4944, 109316, 2050, 4269, 54260, 2882, 4838, 68550, 2200, 109925, 2882, 152, 2451, 28415, 37826, 219047, 125523, 7243, 6235, 61541, 2882, 292, 119312, 230764, 163139, 13497, 6093, 120202, 13342, 3131, 204403, 61621, 5, 69355, 1285, 32887, 22426, 2200, 3120, 1285, 46050, 2932, 3131, 80453, 710, 183216, 874, 54260, 4852, 163139, 3120, 1285, 133190, 13159, 5, 4944, 109316, 2050, 1751, 80453, 23174, 2882, 3120, 22518, 37016, 98252, 92500, 56170, 4852, 84577, 4838, 192544, 2205, 163139, 2932, 46685, 1285, 6, 119312, 7243, 120202, 13342, 3131, 204403, 61621, 5, 155, 29060, 192956, 119055, 6093, 16932, 12415, 206105, 119055, 6093, 16932, 21923, 43449, 75230, 4852, 1470, 75230, 7201, 198087, 44478, 1211, 56170, 119718, 120467, 6255, 151614, 1982, 171433, 8903, 25391, 710, 18406, 7508, 120467, 6, 229340, 56170, 114955, 2200, 56170, 119718, 120467, 73095, 364, 54260, 16803, 137, 93704, 59929, 657, 9221, 6093, 229340, 2909, 2865, 54260, 1211, 6, 97634, 4944, 16932, 4838, 94741, 3056, 182261, 6, 186955, 55242, 13805, 4231, 29766, 5, 98252, 7265, 9424, 238144, 4231, 29766, 4, 159696, 1211, 6255, 7501, 6235, 159696, 1211, 230764, 119055, 233364, 42180, 4, 3056, 27702, 20033, 6235, 159696, 1211, 4838, 116486, 130929, 2050, 152, 20315, 2050, 6, 238144, 1982, 2200, 10676, 4151, 119718, 162785, 65482, 2050, 6, 119312, 22518, 54260, 1982, 6255, 78956, 119718, 4, 199145, 22518, 54260, 47332, 51723, 6, 93704, 47351, 705, 3056, 20033, 1470, 54260, 23405, 73381, 21106, 1211, 12, 657, 88945, 44779, 4, 6, 104038, 26, 44779, 56170, 6, 93704, 47351, 5, 85465, 200117, 6255, 1285 ]

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

[ 0, 378, 7146, 12, 261, 19, 3930, 6837, 106211, 316, 882, 7049, 4134, 177, 268, 378, 1723, 127427, 12, 58020, 268, 378, 211232, 9956, 94940, 12, 7325, 3668, 44, 647, 3716, 58, 268, 378, 117772, 80217, 12, 378, 25, 571, 10901, 669, 4, 159, 5, 25, 86245, 378, 131514, 15300, 12, 6121, 19, 1208, 169, 6837, 127, 3519, 2793, 882, 783, 268, 118222, 23093, 710, 17017, 37826, 22753, 4944, 74806, 80453, 54260, 2882, 7265, 122133, 1982, 130363, 15350, 16932, 109636, 48253, 2808, 5, 119055, 39083, 4484, 16667, 194885, 5666, 74806, 119718, 33809, 2865, 43178, 163139, 46050, 49597, 13159, 37640, 5666, 1470, 16175, 29259, 4944, 5, 1285, 8248, 5666, 37826, 4484, 48340, 2190, 2932, 42493, 22680, 54260, 28726, 1982, 19532, 29259, 23405, 37016, 905, 20911, 190800, 54745, 2865, 6, 195054, 46464, 4944, 46545, 5666, 6, 26394, 134696, 29771, 98071, 2648, 55823, 57619, 16932, 1644, 37640, 5666, 364, 88917, 77188, 6, 115536, 2932, 137, 2702, 119718, 29766, 23269, 2865, 155, 45521, 50853, 3131, 22426, 15907, 39083, 1470, 67854, 6, 113889, 2865, 43178, 17268, 5666, 11265, 6319, 54260, 101608, 192956, 2442, 364, 75230, 4944, 4484, 29259, 2882, 4, 97483, 15231, 2808, 23269, 6, 29171, 39083, 29259, 4113, 119718, 23269, 5, 10069, 202731, 24621, 4, 17824, 75230, 4113, 167048, 14081, 5666, 151614, 1982, 5666, 44917, 200117, 43449, 54260, 104238, 185000, 1285, 6681, 119718, 33809, 152848, 18415, 4, 7265, 4269, 54595, 2932, 6681, 25222, 160687, 146873, 4, 7265, 119055, 114436, 40697, 70695, 20260, 29259, 2882, 5666, 132025, 8903, 105235, 146873, 2190, 5666, 130363, 15350, 18415, 3373, 39083, 2648, 26632, 5666, 4, 199145, 194885, 5666, 6235, 147713, 5666, 22639, 121193, 75230, 1644, 5666, 3069, 5666, 75230, 111137, 13982, 54260, 18415, 5960, 6, 159696, 1982, 29060, 28726, 4944, 4, 130170, 19024, 25207, 199720, 200117, 119718, 39083, 65482, 4, 68889, 72520, 29766, 125897, 6319, 39083, 136108, 13159, 5, 26217, 16932, 28714, 5666, 37826, 6, 72841, 23269, 73381, 22426, 2882, 1285, 1470, 75230, 2932, 5666, 4, 6235, 75290, 2882, 9934, 29259, 5666, 1751, 159696, 164863, 4, 7265, 17160, 29259, 132025, 8903, 2932, 120467, 65482, 2050, 6319, 137377, 22639, 51963, 9934, 29259, 28320, 4, 6235, 4484, 5666, 54260, 2882, 29659, 9934, 29259, 5666, 6, 105235, 164863, 4, 6235, 119718, 39083, 2882, 22753, 4944, 657, 54260, 2932, 2932, 32611, 1470, 9934, 29259, 2882, 4, 2181, 170479, 107020, 42493, 46050, 30741, 1470, 18640, 1285, 1470, 75230, 5666, 5666, 4151, 115536, 4484, 62067, 37640, 5666, 9721, 48350, 35596, 65482, 2882, 19024, 4944, 5, 6093, 37826, 22753, 4944, 1751, 159696, 2442, 1470, 29434, 54260, 6235, 97634, 5666, 2190, 5666, 19532, 137377, 8903, 119718, 29766, 150020, 21776, 2865, 41764, 43178, 104238, 144754, 1470, 29259, 4852, 37640, 5666, 9934, 29259, 5666, 14779, 29025, 5666, 5, 163139, 190800, 1470, 23050, 22426, 1644, 37826, 7369, 6235, 905, 43178, 21776, 2882, 45521, 50853, 86733, 2702, 3496, 14081, 26632, 5, 35189, 45521, 50853, 86733, 3056, 3069, 8903, 2932, 26632, 8903, 5666, 7265, 1470, 29259, 1644, 125897, 81414, 2882, 4, 37826, 22753, 1982, 1470, 29259, 5666, 8903, 1982, 75230, 2932, 5666, 4, 2190, 111137, 506, 75230, 1982, 5666, 54745, 2865, 20632, 2865, 65482, 2882, 41764, 43178, 104238, 37640, 5666, 137, 35189, 7369, 2648 ]

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

[ 4, 98252, 20961, 25046, 195054, 54260, 98833, 1054, 16932, 28714, 23269, 5666, 130170, 5666, 17190, 61541, 4113, 5, 17268, 5666, 1470, 119055, 29259, 2882, 10213, 21338, 37826, 22753, 4944, 6235, 8300, 75230, 2932, 5666, 4, 163139, 1470, 16175, 171433, 37640, 5666, 1470, 54260, 5666, 3373, 110129, 23269, 68561, 1470, 10184, 55546, 12, 2451, 119055, 46646, 2451, 36419, 2451, 6093, 27, 119055, 46646, 2451, 36419, 2451, 4113, 2451, 6093, 27, 81414, 2451, 24295, 2451, 4484, 43178, 27, 26217, 16932, 2865, 123844, 6681, 23822, 6093, 18415, 4, 122133, 1982, 90536, 152848, 1470, 75230, 2932, 5666, 151614, 1982, 5666, 22753, 4944, 98252, 23269, 63593, 115536, 5, 758, 2808, 24295, 9934, 29259, 5666, 22753, 88660, 164863, 194885, 5666, 74806, 119718, 98229, 43178, 43449, 75230, 4113, 119055, 39083, 116604, 28726, 4944, 7508, 75230, 1982, 4, 2190, 80453, 29259, 2702, 2932, 37640, 5666, 17824, 182759, 2882, 5666, 4, 46654, 98071, 43178, 2442, 125897, 147582, 21847, 37640, 5666, 67826, 75290, 6235, 29111, 29766, 114436, 7369, 2648, 4, 8903, 9719, 29659, 7265, 9915, 54260, 5, 64044, 194885, 1470, 75230, 2932, 5666, 151614, 1982, 5666, 22753, 4944, 6235, 121865, 5666, 6428, 29259, 48253, 40697, 1751, 159696, 25207, 17824, 182759, 2882, 5666, 4, 22680, 98071, 6093, 6681, 9934, 29259, 5666, 9356, 174410, 54260, 4, 4151, 113889, 4944, 292, 364, 41595, 6093, 11265, 2190, 5666, 163139, 35189, 10184, 2932, 7201, 29766, 13497, 5, 2808, 24295, 9934, 29259, 5666, 6681, 23822, 7682, 13497, 5666, 874, 75230, 1644, 4151, 46590, 2882, 7369, 1470, 22753, 95564, 29259, 2882, 5, 22639, 1285, 6, 113889, 4852, 192956, 2442, 21374, 34709, 2882, 5, 22639, 220273, 21847, 46654, 34533, 107020, 1470, 17190, 130929, 30750, 119055, 20961, 141564, 29259, 2882, 5, 107020, 68313, 6235, 119718, 29766, 5666, 17824, 23174, 5, 7369, 37826, 132025, 8903, 506, 75230, 1982, 5666, 1751, 119718, 52480, 43178, 5, 1285, 5332, 46244, 3056, 19532, 75230, 161321, 31467, 5666, 130170, 1285, 6, 131445, 4, 22753, 4944, 19532, 75230, 2702, 8903, 2932, 69181, 29659, 27, 2190, 2932, 7369, 4, 221067, 70598, 112711, 4, 1470, 54260, 8903, 90536, 1982, 5666, 364, 141847, 43178, 22639, 35189, 1644, 33809, 23741, 5666, 5, 26217, 16932, 28714, 5666, 97483, 22426, 2882, 7265, 1285, 364, 35596, 9934, 29259, 5666, 1470, 75230, 75578, 29659, 5666, 16175, 54260, 1644, 182275, 12, 6, 150839, 54260, 47332, 6, 72841, 9934, 29259, 5666, 198754, 4113, 364, 62067, 4, 235466, 132025, 7265, 11265, 9356, 2865, 6, 34882, 5666, 37640, 5666, 4151, 7972, 20260, 6093, 4, 6, 143409, 74004, 2865, 34076, 29060, 7369, 11265, 6, 34882, 5666, 31249, 120467, 4, 9356, 2865, 895, 91275, 75230, 2932, 5666, 4, 1285, 145813, 31623, 22426, 23174, 6093, 4, 4231, 16870, 5666, 6, 223390, 6093, 9356, 46464, 83182, 27, 10069, 21776, 80885, 364, 62067, 117641, 2882, 19532, 137377, 2190, 2932, 43449, 29259, 47332, 364, 141847, 43178, 4, 163139, 1470, 46654, 91595, 1644, 17268, 5666, 40653, 8903, 1982, 75230, 18415, 2882, 16175, 54260, 2932, 5, 25491, 96256, 22426, 2882, 7369, 7265, 4151, 130154, 6093, 364, 62067, 1285, 198754, 4113, 5, 7369, 235466, 22753, 132025, 1982, 26632, 198754, 5666, 6, 162785, 1644, 4, 163139, 1470, 34072, 83182, 4, 83066, 2882, 7369, 194885, 6, 223390, 6093, 1470, 33809, 2050 ]

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

[ 4151, 22426, 75230, 39293, 2882, 7265, 220224, 113743, 198754, 5666, 14779, 150037, 29766, 34709, 5, 119718, 710, 35189, 6, 73381, 13497, 7369, 194885, 6681, 23822, 6093, 18415, 163139, 49597, 13159, 4, 6681, 159696, 1982, 18415, 7265, 1285, 23269, 55823, 20315, 87311, 35189, 28726, 4944, 4, 7243, 77188, 7265, 1285, 1751, 119718, 20961, 36723, 22426, 1644, 43178, 22639, 32054, 120467, 175221, 22492, 127583, 2190, 5666, 43449, 29259, 47332, 6, 186461, 5666, 22444, 98071, 4484, 7265, 6681, 1644, 29771, 7201, 65482, 1470, 75230, 2932, 5666, 5, 6093, 2205, 22639, 132025, 2865, 115536, 5, 13159, 107776, 19532, 29259, 5666, 4151, 54745, 4852, 47750, 59461, 81444, 4484, 16932, 5, 107020, 6, 62067, 39340, 2932, 5666, 4269, 54260, 2882, 4151, 37271, 2702, 39083, 127731, 125830, 75290, 155, 45521, 50853, 86733, 191795, 158969, 43178, 88660, 5, 2451, 3069, 2865, 6319, 137377, 1470, 75230, 4944, 657, 54260, 2932, 5666, 1470, 29259, 4852, 32, 292, 129165, 98833, 4151, 45521, 50853, 86733, 127461, 4, 292, 119718, 710, 119055, 29060, 11265, 564, 68561, 75230, 122868, 4, 119055, 2808, 36326, 119718, 21292, 29771, 88660, 17160, 64567, 29766, 142429, 17645, 4, 14856, 6, 141353, 7201, 32, 6093, 119055, 141943, 2882, 39384, 4944, 1751, 75230, 5666, 6, 159696, 2932, 5666, 54745, 2865, 3069, 2882, 81444, 4484, 16932, 1470, 9424, 238144, 2882, 5666, 874, 39083, 2190, 5666, 148346, 2808, 119718, 29259, 4852, 2882, 7265, 5666, 364, 62067, 32611, 221067, 70598, 112711, 43178, 12, 2451, 1285, 32887, 2865, 149364, 2808, 29631, 2205, 220224, 6093, 1470, 364, 75230, 107581, 4, 7369, 29659, 42493, 1157, 2932, 37826, 30473, 4944, 9356, 107020, 120202, 190135, 4151, 6, 73906, 48253, 29631, 8300, 37640, 5666, 874, 75230, 1644, 27, 199145, 4, 119055, 76526, 13458, 29766, 17645, 4, 119055, 29060, 11265, 564, 68561, 75230, 1644, 5666, 32, 2442, 6093, 81444, 4484, 16932, 3056, 1470, 15622, 148346, 6093, 4, 7369, 29659, 19532, 75230, 2702, 37640, 5666, 1470, 9416, 159696, 32206, 131044, 1470, 75230, 68313, 1470, 40026, 86733, 10339, 75230, 21847, 32611, 4151, 117902, 30473, 42180, 5, 6, 210674, 7369, 12, 137, 64044, 96743, 188201, 144754, 4269, 54595, 5666, 27, 7265, 199145, 364, 54260, 21295, 874, 43178, 220224, 24846, 5, 35596, 59919, 2882, 7369, 42493, 9356, 50853, 54745, 2865, 45521, 50853, 86733, 5, 7369, 21422, 2882, 7265, 1054, 43178, 10498, 39083, 6093, 113889, 4852, 1285, 163139, 194734, 38054, 125897, 9181, 23741, 2190, 5666, 6681, 210674, 22753, 4944, 163139, 35189, 12, 137, 25491, 4231, 163139, 50853, 89112, 14081, 22426, 54196, 874, 43178, 1285, 29566, 68697, 16667, 292, 1470, 75230, 4944, 42493, 172590, 72577, 6093, 874, 29259, 10813, 27, 9356, 1285, 60071, 40697, 6, 88660, 4852, 34882, 5666, 3056, 6235, 159696, 5666, 1470, 6, 87311, 20315, 15, 54595, 75230, 4151, 8300, 54260, 1644, 5666, 1285, 5950, 18415, 657, 29259, 2882, 16, 13342, 13342, 15949, 50856, 5666, 1285, 21776, 119718, 39083, 710, 34365, 98071, 239162, 164863, 3069, 1285, 6, 238144, 2442, 1644, 43178, 37640, 5666, 220224, 123073, 45521, 38054, 194706, 54260, 19532, 905, 14857, 28726, 22426, 2932, 40653, 1285, 64890, 2702, 5666, 27, 95298, 4269, 54595, 5666, 24846, 54595, 75230, 4, 4269, 54260, 188301, 37640, 5666, 1470, 54260, 5666, 6, 37016, 145813, 15907, 39083, 78278, 5666, 9424, 238144, 18415 ]

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

[ 4, 16175, 115536, 7369, 2190, 14325, 54260, 47332, 132025, 7508, 54260, 2648, 5666, 3069, 22753, 1982, 5950, 54260, 1211, 12, 2451, 95455, 3056, 117902, 3131, 29060, 4, 6, 238144, 165607, 1285, 115556, 506, 29259, 2882, 4269, 54260, 2882, 160238, 75230, 2702, 5, 8947, 194885, 5666, 3069, 31467, 8903, 17494, 2865, 43178, 119055, 46646, 6093, 16629, 21066, 4113, 4944, 4, 1470, 6093, 137377, 46985, 23269, 5666, 4, 119055, 29259, 178107, 2702, 213952, 4113, 68889, 2865, 26632, 5666, 4, 292, 1285, 115556, 506, 29259, 2882, 116486, 23847, 13159, 54196, 27, 35189, 81444, 4484, 16932, 37826, 1751, 75230, 5666, 6, 238197, 32611, 5666, 6319, 39083, 5, 37826, 107020, 4151, 45521, 50853, 86733, 6235, 22680, 4113, 98833, 12, 2451, 11265, 105884, 2882, 6, 159696, 2932, 5666, 1470, 41764, 20961, 69803, 48253, 32, 2451, 9934, 29259, 42493, 6319, 54260, 2932, 155787, 98071, 64260, 38, 5, 5, 199145, 3056, 7265, 1285, 40653, 125897, 6681, 96743, 188201, 32, 35189, 81444, 4484, 16932, 10184, 21295, 4, 47833, 7369, 37826, 137, 2808, 88680, 8903, 4852, 14081, 8300, 5666, 2909, 21422, 2882, 7369, 163139, 35189, 144754, 4151, 3523, 68558, 1285, 212911, 18415, 9181, 23741, 5, 2451, 1470, 364, 41595, 40697, 115222, 21295, 2205, 364, 29259, 13497, 5, 6681, 1285, 51963, 70695, 20260, 4113, 4, 2190, 67223, 54595, 905, 50856, 93497, 6681, 1285, 4, 199145, 6, 186461, 5666, 7265, 17824, 75230, 2702, 364, 31623, 4, 2205, 95455, 42493, 72577, 5, 6093, 4269, 54260, 2882, 3069, 3069, 2865, 3373, 12666, 22426, 4, 132025, 119055, 13845, 30741, 8947, 194885, 5666, 1470, 144532, 8903, 13982, 54260, 2882, 163139, 3131, 143409, 43178, 1285, 167048, 7682, 4, 199145, 202446, 2932, 1285, 4269, 29771, 22680, 29766, 65482, 6, 61541, 37640, 5666, 19024, 176761, 48350, 35596, 5, 7369, 204982, 1470, 6, 98055, 32611, 5666, 21776, 29771, 9719, 14303, 4, 199145, 3056, 3069, 8903, 3131, 203749, 5666, 3069, 2865, 3373, 12666, 22426, 4, 10705, 5666, 6235, 23269, 56169, 1470, 75230, 2702, 12, 2451, 6, 238144, 29171, 4, 24012, 35189, 123329, 37640, 5666, 20632, 1644, 5, 6, 105780, 7201, 5, 2451, 97483, 4484, 6, 97634, 48253, 113889, 4, 97483, 4484, 6, 97634, 48253, 113889, 38, 292, 6, 225975, 2882, 4151, 45521, 50853, 86733, 7265, 2808, 22753, 7201, 8300, 4, 292, 21374, 2865, 26632, 55242, 13805, 17824, 20961, 115222, 21295, 5, 6093, 6681, 10918, 2882, 32611, 22753, 4944, 43649, 29259, 59919, 1054, 29259, 5666, 71441, 7682, 5666, 3496, 14081, 26632, 5, 2451, 3056, 199145, 119055, 29060, 11265, 4, 119055, 76526, 87309, 142429, 17645, 4, 564, 68561, 75230, 1644, 5666, 16175, 171433, 7265, 6, 64260, 142429, 63593, 32, 7265, 5666, 6681, 96743, 63532, 5666, 32, 6093, 119055, 29259, 4852, 2882, 132025, 7265, 5666, 364, 62067, 1751, 75230, 5666, 3069, 2865, 29434, 15907, 5666, 874, 39083, 5960, 221067, 70598, 112711, 43178, 5, 5666, 29766, 4151, 364, 218241, 16932, 6, 35596, 59919, 2882, 163139, 35189, 42493, 5, 966, 2451, 9213, 4944, 151614, 1982, 9356, 7508, 9221, 6235, 22680, 4113, 98833, 12, 163139, 84087, 5666, 22753, 1982, 1285, 40653, 125897, 6681, 96743, 188201, 32, 119055, 33809, 194885, 5666, 220224, 32, 34322, 54745, 2865, 6, 35596, 59919, 2882, 4151, 45521, 50853, 86733, 7265, 1470, 4269, 90848, 75578, 101251 ]

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

[ 13342, 211630, 114436, 29659, 52480, 12, 2451, 199145, 170479, 7265, 220224, 9934, 29259, 5666, 32, 6681, 220224, 2205, 1751, 75230, 5666, 6681, 3131, 22426, 99766, 3069, 9934, 29766, 2932, 5666, 5, 6093, 6, 225975, 2882, 48494, 203232, 22444, 98071, 4484, 4, 95298, 2181, 10184, 21295, 22753, 4944, 22639, 4151, 364, 54260, 168155, 7682, 29259, 2882, 17268, 5666, 194885, 7508, 54260, 2648, 4, 6150, 7369, 6, 75230, 1644, 7265, 21776, 2882, 1470, 1751, 97634, 1982, 16175, 171433, 54745, 2882, 81444, 710, 16932, 5, 2451, 2190, 5666, 874, 54260, 21087, 14857, 117687, 1644, 6, 141353, 7201, 220224, 9934, 29259, 5666, 42493, 620, 91595, 5, 119055, 2808, 25207, 46685, 4, 163139, 2808, 24295, 46601, 34882, 4, 3056, 7508, 99766, 5666, 6235, 119718, 21292, 27, 20315, 2865, 81444, 20911, 93497, 123736, 148346, 4113, 2932, 212484, 18415, 1470, 75230, 2932, 5666, 29434, 54260, 43178, 22753, 4944, 40653, 4, 163139, 34076, 29766, 164874, 28726, 4944, 4, 1470, 144532, 220224, 6093, 1470, 54260, 2932, 114436, 123736, 111996, 18415, 4, 9934, 29259, 5666, 6, 113889, 4852, 1751, 144532, 22426, 2882, 22753, 4944, 1470, 29259, 5666, 5, 68561, 194885, 6319, 22492, 22426, 25491, 119718, 29771, 13805, 65482, 3944, 22426, 5666, 16888, 2442, 21295, 22753, 4944, 1470, 10498, 54260, 10813, 12, 2451, 9213, 4944, 49920, 95455, 7369, 29659, 4, 6150, 37640, 5666, 874, 54260, 21087, 2865, 4269, 54260, 2882, 1470, 119055, 2808, 25207, 24621, 9181, 23741, 5, 2451, 3523, 54260, 5666, 4, 119055, 76526, 87309, 142429, 17645, 4, 16175, 75230, 18415, 68889, 150020, 81444, 4944, 42493, 6319, 54260, 5666, 364, 31623, 5, 7961, 44458, 186145, 21295, 1470, 3523, 29259, 4113, 220075, 38, 35189, 81444, 4484, 16932, 4269, 54260, 2882, 6681, 1982, 29259, 1285, 564, 29060, 28726, 4944, 10339, 12, 1285, 70695, 20260, 4113, 2190, 2932, 105884, 2882, 13342, 22753, 4944, 163139, 35189, 12, 2451, 1470, 204403, 23269, 2865, 4, 14856, 37826, 9356, 141353, 23741, 15864, 30741, 119055, 2808, 25207, 46685, 22639, 46601, 34882, 4, 4852, 54260, 6, 159696, 122868, 81444, 1470, 23174, 2808, 57619, 5666, 4151, 22680, 29766, 5666, 6, 159696, 48974, 5, 3056, 7265, 4269, 54595, 5666, 4, 6, 225975, 126934, 4, 192183, 24621, 2932, 1470, 75230, 4944, 1470, 75230, 2702, 120749, 5666, 32611, 4231, 114436, 6, 159696, 21295, 1470, 5, 1751, 54260, 2932, 12023, 35044, 115556, 5666, 32, 2451, 1470, 119718, 2808, 20315, 194885, 5666, 220224, 9424, 79238, 205416, 1982, 5666, 5, 1285, 194885, 5666, 1751, 75230, 5666, 6, 150271, 125897, 4, 34076, 29259, 51172, 24295, 64890, 5666, 54260, 2648, 5666, 27, 2808, 88680, 5666, 45521, 50853, 86733, 2702, 64890, 57619, 5666, 657, 29259, 1982, 3496, 119718, 69803, 29060, 22753, 1982, 1470, 21422, 16932, 5, 2451, 11265, 119055, 29060, 20033, 34076, 54260, 18406, 4, 119055, 2808, 36326, 195007, 506, 29766, 29766, 17645, 4, 9213, 1982, 113743, 37640, 5666, 7369, 29659, 13497, 29771, 2932, 4, 22753, 13497, 1285, 107189, 4944, 29771, 24621, 37826, 22753, 4944, 123736, 148346, 20616, 75230, 1982, 5666, 5, 9424, 29259, 2882, 6235, 159696, 5666, 22753, 4944, 132025, 98055, 22492, 7201, 5950, 6093, 1644, 54260, 9424, 29766, 46598, 37640, 5666, 115374, 4, 32611, 119055, 33809, 27105, 2932, 4, 32611, 212911, 7682, 13159, 4, 32611, 564, 137119, 27, 29771 ]

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

[ 75578, 4, 292, 7369, 204982, 163139, 35189, 1470, 21422, 16932, 4, 292, 1470, 119718, 710, 46590, 564, 137119, 151614, 1982, 9213, 4944, 6, 113889, 4944, 4484, 54260, 5666, 2865, 39083, 42493, 6235, 104149, 5, 8947, 170479, 6150, 75230, 10339, 29259, 150020, 132025, 1470, 3373, 29771, 7201, 37640, 5666, 874, 75230, 1644, 4, 37640, 5666, 113889, 4852, 27, 1285, 45521, 57619, 16932, 194885, 5666, 6235, 119718, 29766, 5666, 4, 163139, 6681, 4852, 83957, 159696, 2442, 16932, 1470, 29259, 4852, 5666, 27, 35189, 45521, 50853, 86733, 105884, 2882, 28415, 5, 7511, 2882, 5, 7369, 52059, 2882, 19532, 88680, 54745, 2865, 81444, 20911, 93497, 87637, 21338, 3069, 1285, 3373, 39083, 3149, 26632, 5666, 4, 199145, 6, 186461, 5666, 22639, 364, 31623, 2190, 5666, 22639, 620, 33809, 46685, 4, 2190, 5666, 9934, 29259, 5666, 181615, 43449, 29259, 47332, 43649, 54260, 5666, 32611, 5666, 81444, 20911, 93497, 6319, 218241, 20961, 20315, 5, 7369, 43649, 98229, 21295, 7265, 1285, 7972, 22426, 5666, 4, 4151, 113889, 1982, 6, 225975, 2882, 7369, 122133, 1982, 7265, 160751, 29060, 2190, 5666, 122133, 1982, 7265, 10339, 29771, 35189, 17310, 12, 2451, 2190, 5666, 3069, 199145, 37826, 874, 43178, 95455, 1470, 23174, 2808, 57619, 5666, 6, 61397, 20961, 23741, 32, 9424, 13845, 54260, 98833, 132025, 2808, 114564, 115556, 5666, 4, 6235, 107182, 1751, 75230, 5666, 9934, 29259, 5666, 6235, 3111, 31467, 2932, 5, 363, 36326, 22426, 2882, 1751, 75230, 1982, 4151, 81444, 4484, 16932, 28415, 42493, 6319, 54260, 5666, 9181, 23741, 22639, 22753, 4944, 5, 7369, 6681, 506, 54260, 47332, 194885, 1470, 75230, 2932, 5666, 3069, 2865, 6, 105235, 164863, 2190, 5666, 6, 212484, 2882, 220224, 19532, 137377, 3069, 2865, 45521, 50853, 86733, 12, 2451, 199145, 364, 54260, 16803, 12, 137, 24621, 37826, 95455, 9213, 96256, 57619, 5666, 42493, 6, 61397, 20961, 23741, 155, 32, 2451, 6, 64260, 4, 5, 14004, 1982, 874, 54260, 5666, 1285, 107189, 4944, 29771, 24621, 4, 292, 4151, 45521, 50853, 86733, 6, 225975, 2882, 1751, 75230, 5, 2648, 120467, 7265, 44458, 40653, 8300, 29259, 2932, 213952, 6093, 67826, 2865, 292, 14856, 37826, 185000, 1470, 32887, 1644, 17268, 5666, 4151, 6, 159696, 21295, 5, 119055, 6093, 37826, 37640, 5666, 54745, 2865, 1470, 3523, 34365, 5666, 32, 17268, 5666, 6150, 13845, 107581, 7508, 54260, 4667, 6, 212484, 2882, 22753, 4944, 9356, 2865, 81444, 4484, 16932, 19532, 137377, 1285, 6, 113889, 4852, 5, 6, 150839, 54260, 47332, 6, 72841, 17288, 104238, 1285, 6, 148346, 172398, 23269, 4, 7369, 163139, 1644, 199145, 6, 225975, 5666, 2190, 5666, 43449, 29259, 47332, 7265, 112711, 123736, 150020, 874, 75230, 1644, 5, 7369, 4269, 54260, 2882, 3069, 2865, 163139, 177243, 4, 119055, 33809, 8947, 43649, 54260, 2882, 1470, 78104, 31249, 7265, 2808, 97483, 28317, 29060, 39340, 5, 4151, 45521, 50853, 86733, 4269, 54260, 2882, 1470, 15907, 6, 113889, 4944, 12, 4151, 81444, 4484, 16932, 19302, 29259, 47332, 13342, 130170, 22753, 1982, 55242, 5666, 7213, 151227, 2190, 2932, 55242, 56169, 22753, 4944, 32611, 107020, 5, 7369, 6, 225975, 2882, 1470, 75230, 205416, 131044, 13456, 12, 2451, 107189, 4944, 29771, 195164, 83066, 5666, 22753, 4944, 37640, 5666, 1470, 54260, 159377, 132025, 4, 22753, 13497, 115556, 5666, 194885, 2932, 64044 ]

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

[ 112711, 32611, 4151, 7369, 2648, 4, 22753, 13497, 8947, 3056, 6681, 112711, 7265, 199145, 3069, 1751, 203749, 5666, 22753, 4944, 12, 22680, 98071, 6093, 7265, 43649, 54260, 59461, 4, 7265, 9721, 171433, 39293, 4, 182261, 292, 7265, 1470, 6093, 137377, 17410, 23269, 5666, 4, 7265, 85465, 70598, 26632, 5666, 4, 7265, 4269, 54595, 5666, 27, 6093, 22518, 29259, 47332, 130170, 21776, 26394, 22426, 2882, 83182, 45521, 50853, 86733, 364, 54260, 47332, 37640, 5666, 4151, 5332, 46244, 7213, 16932, 5666, 6, 74004, 27105, 2190, 5666, 657, 87442, 1285, 3131, 87311, 28726, 1751, 46545, 109316, 4944, 41764, 2808, 22426, 9221, 5, 2451, 2190, 2932, 9213, 1982, 151614, 1982, 6235, 2865, 54260, 13497, 4, 119055, 76526, 9721, 29766, 17645, 4, 47833, 78891, 39083, 194885, 5666, 96302, 3131, 5666, 6235, 159696, 5666, 51328, 152185, 4, 151614, 1982, 2932, 220224, 22753, 4944, 74806, 203749, 5666, 5, 25491, 2865, 81444, 4484, 16932, 43449, 54260, 40920, 22753, 1982, 1470, 10498, 54260, 10813, 5, 7369, 37826, 1751, 75230, 5666, 6235, 188301, 2882, 22518, 29259, 1982, 107829, 21776, 26394, 22426, 2882, 5666, 4, 22444, 20911, 7369, 22639, 364, 62067, 22639, 19532, 17160, 37640, 5666, 4151, 9424, 238144, 16932, 2190, 5666, 6, 225975, 2882, 12, 2451, 81444, 151614, 126934, 17824, 142429, 1470, 6, 97634, 13159, 5, 29771, 75578, 7369, 4151, 39293, 2882, 4, 163139, 4151, 45521, 50853, 86733, 17806, 20911, 32611, 107020, 123736, 150020, 2190, 2932, 17160, 29259, 47332, 67826, 1644, 5, 35189, 81444, 4484, 16932, 37826, 1470, 117902, 2442, 874, 39083, 1470, 564, 212484, 6235, 97634, 5666, 3944, 23741, 37640, 5666, 874, 75230, 1644, 68561, 1285, 364, 35596, 4, 6235, 3111, 2865, 43178, 37640, 5666, 6, 147502, 7508, 120467, 46711, 29259, 17160, 7544, 2865, 2932, 17288, 46685, 1644, 4, 19532, 29259, 23405, 13845, 54260, 98833, 2181, 22639, 115222, 3131, 65482, 2190, 5666, 22753, 4944, 6, 72841, 190135, 5, 2451, 3496, 26, 85465, 200117, 6235, 119718, 39083, 2882, 1470, 75230, 51437, 6093, 5666, 1470, 70695, 20260, 710, 4, 95298, 14856, 192183, 42493, 12, 72649, 41595, 40697, 115222, 21295, 5, 2451, 9213, 4944, 151614, 1982, 874, 75230, 25207, 4, 1470, 75230, 1982, 7265, 54745, 2865, 6681, 28714, 63532, 5666, 119055, 29060, 22753, 4944, 132025, 506, 54260, 1982, 16747, 120467, 207013, 4, 199145, 7265, 4231, 65482, 4, 119055, 13845, 9213, 1982, 1470, 177282, 75230, 150020, 37640, 5666, 6, 170098, 20961, 29060, 5, 5, 2451, 199145, 2389, 35189, 81444, 4484, 16932, 3056, 6235, 90536, 1982, 5666, 43649, 54260, 5666, 9356, 221067, 70598, 112711, 43178, 6, 198087, 137377, 16667, 5, 6, 150839, 64260, 132025, 8903, 3111, 2865, 43178, 54745, 2865, 70695, 20260, 16667, 9174, 62067, 9356, 2865, 6428, 75230, 55823, 4484, 4, 19532, 75230, 2702, 8903, 3111, 24621, 3111, 29259, 5666, 220224, 61397, 2190, 5666, 6235, 8300, 54260, 21295, 5, 2451, 182261, 3056, 9356, 107020, 4151, 6, 172060, 75386, 44458, 123736, 7201, 16932, 4, 95298, 1470, 99509, 6093, 2451, 6093, 17806, 20911, 1470, 127583, 54745, 2865, 46601, 34882, 4, 4151, 39293, 2882, 1285, 32054, 120467, 46545, 4113, 129165, 16747, 4852, 22639, 1285, 119718, 710, 177243, 43178, 2190, 5666, 6319, 77188, 22753, 1982, 120202, 4, 292, 1470, 75230, 1982, 4151, 6, 172060, 75386, 119055, 29060, 22753, 4944 ]

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

[ 9356, 9213, 66168, 2882, 17288, 104238, 12, 6, 113889, 4944, 55242, 13805, 6150, 54260, 61397, 6681, 5666, 115536, 4, 119055, 29060, 7369, 43449, 29259, 1982, 5666, 17190, 1982, 5666, 5, 2451, 2190, 2932, 1470, 75230, 1982, 42493, 32, 35189, 81444, 4484, 16932, 3069, 20911, 7265, 1285, 6, 162785, 1644, 43178, 12, 2451, 199145, 192183, 43178, 20033, 9174, 13845, 150020, 32, 42493, 7369, 3056, 4151, 184639, 4, 42493, 7369, 95766, 4151, 141879, 2442, 5, 2451, 119055, 2808, 46646, 101608, 27, 119055, 46646, 36419, 4113, 6093, 27, 81414, 20260, 4113, 43178, 12, 12, 12, 2451, 1470, 85465, 4, 2190, 5666, 199145, 3056, 7265, 5666, 86510, 905, 131002, 167622, 5666, 32, 7369, 20835, 46685, 2882, 42493, 32, 2451, 3523, 54260, 5666, 4, 7369, 564, 29060, 133190, 123736, 23741, 81414, 20260, 43178, 5, 192183, 178748, 6, 73381, 86733, 32, 5, 5, 25491, 2865, 45521, 50853, 86733, 564, 29060, 22753, 4944, 32611, 5666, 3069, 23405, 12, 137, 88660, 5666, 874, 43178, 6, 73381, 86733, 1285, 1751, 159696, 25207, 58679, 20260, 4113, 3069, 23269, 2865, 43178, 37640, 16747, 112711, 43178, 4, 120202, 3131, 7682, 5666, 220224, 22639, 6, 105235, 21338, 4, 22639, 1470, 160751, 29259, 20315, 32, 69872, 35189, 81444, 4484, 16932, 10184, 21295, 4, 6150, 4151, 45521, 50853, 86733, 37826, 6235, 119718, 39083, 2882, 199145, 6, 225975, 5666, 4, 23847, 6319, 77188, 22753, 4944, 101251, 1751, 75230, 5666, 9356, 2865, 16175, 9221, 12, 2451, 199145, 32, 2451, 192183, 874, 43178, 6, 73381, 86733, 1285, 70695, 20260, 4113, 120202, 3131, 7682, 5666, 21374, 5666, 3373, 20961, 7511, 32, 19532, 75230, 49268, 905, 55823, 44458, 1470, 119718, 97634, 87311, 44693, 4, 202446, 2932, 220224, 4, 292, 9213, 1982, 874, 54260, 5666, 1285, 4, 199145, 7265, 364, 31623, 4, 144754, 17824, 75230, 2702, 364, 31623, 4, 292, 160238, 2882, 22639, 1470, 1751, 104855, 12, 216333, 4113, 8947, 5666, 2190, 5666, 216333, 20616, 76526, 2932, 29771, 107581, 4, 119055, 2808, 25207, 46685, 27, 35189, 81444, 4484, 16932, 22753, 2648, 21295, 22753, 4944, 12, 2451, 4231, 16870, 5666, 874, 39083, 4, 6, 159696, 2932, 9213, 1982, 163139, 1644, 7508, 54260, 2648, 5666, 190800, 5666, 223779, 7201, 171433, 4, 3056, 6681, 182759, 1751, 16932, 17310, 5, 95455, 3056, 40653, 8903, 121865, 5666, 4151, 60980, 69801, 4, 95455, 194885, 5666, 1470, 75230, 2702, 8903, 23822, 7682, 13497, 1285, 6, 109316, 96302, 1211, 5, 20033, 83066, 5666, 107189, 4944, 29771, 51723, 292, 2190, 5666, 1751, 75230, 5666, 37640, 5666, 64890, 2702, 12, 2451, 9213, 4944, 119055, 13845, 6, 80453, 33809, 119718, 5666, 65902, 183216, 5, 2808, 268, 37271, 35189, 81444, 4484, 16932, 3056, 1470, 159696, 4484, 5, 22639, 206105, 238419, 1470, 144532, 3056, 1470, 75230, 25491, 159696, 4484, 7508, 6093, 45521, 50853, 86733, 5, 2190, 5666, 32611, 1285, 564, 29060, 28726, 4944, 194885, 5666, 6235, 90536, 1982, 5666, 6, 186461, 5666, 12, 21087, 7916, 69181, 123329, 4, 6, 88660, 4852, 34882, 5666, 2190, 2932, 137382, 73418, 59461, 4, 6681, 119718, 33809, 152848, 18415, 6, 64991, 2932, 54260, 6093, 4, 31249, 905, 46685, 213952, 4113, 86510, 905, 131002, 167622, 4113, 4, 70695, 20260, 4113, 3373, 32829, 2882, 48340, 2190, 5666, 123736, 1982, 29771, 4852, 29171, 13159 ]

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

[ 5, 10705, 5666, 6, 113889, 4944, 1470, 54260, 59461, 9424, 119718, 13456, 5666, 1285, 51963, 4, 4151, 1470, 54260, 59461, 4, 199145, 3056, 6235, 90536, 1982, 5666, 105780, 6, 115536, 4, 4151, 6681, 2702, 98229, 16932, 7265, 4269, 54595, 5666, 4, 4151, 19532, 15231, 44478, 34533, 221067, 70598, 112711, 5, 46985, 22426, 710, 21338, 534, 17268, 5666, 51963, 83066, 163139, 177243, 43178, 3056, 6235, 4484, 90848, 30741, 4151, 1470, 29259, 4852, 123329, 163139, 13497, 6093, 5, 6, 150839, 64260, 22753, 1982, 3069, 8903, 21733, 4113, 22426, 2882, 3069, 1285, 41764, 710, 26632, 13159, 37640, 5666, 1285, 6319, 75230, 46545, 4113, 6, 131445, 4, 74806, 97634, 30741, 2808, 24295, 1285, 145813, 31623, 6, 223390, 6093, 37640, 5666, 1285, 364, 35596, 5, 59919, 10918, 4484, 23847, 69859, 125897, 364, 31623, 37640, 5666, 86510, 905, 131002, 167622, 4113, 37826, 22753, 4944, 160751, 133814, 77188, 144754, 55242, 13805, 23847, 20961, 7682, 5666, 32054, 120467, 2882, 4, 199145, 37826, 123736, 8903, 46590, 2882, 10676, 6, 170098, 20961, 29060, 4, 163139, 12666, 23741, 292, 44458, 1470, 6093, 120467, 2882, 26632, 5, 35189, 212911, 16932, 163139, 13497, 6093, 97634, 2932, 37640, 5666, 16175, 75230, 4852, 13497, 3523, 29259, 5666, 364, 88917, 77188, 22753, 1982, 21660, 29060, 7511, 29766, 5, 2702, 20961, 7511, 5, 2808, 6, 170098, 20961, 29060, 6681, 119055, 114436, 123329, 5, 29771, 83182, 85465, 22849, 5666, 14856, 35044, 13159, 6, 195054, 148346, 5666, 22639, 364, 18640, 4, 74806, 119718, 33809, 2865, 43178, 22639, 20835, 46685, 4, 27909, 4944, 8903, 3131, 119718, 710, 56169, 5, 4151, 46590, 2882, 6, 238144, 4944, 4484, 29259, 2882, 4, 30842, 120202, 8903, 212484, 20260, 29259, 2882, 37640, 5666, 64890, 57619, 20260, 6093, 149364, 2190, 5666, 132025, 8903, 506, 75230, 18406, 138980, 43178, 3069, 22753, 4944, 5, 7369, 29659, 182261, 37826, 22753, 4944, 221067, 70598, 112711, 132025, 20616, 75230, 1982, 5666, 4151, 101296, 49008, 4, 199145, 7265, 107020, 3056, 160238, 8903, 17494, 2865, 43178, 1285, 141879, 18415, 2932, 37640, 5666, 45521, 119718, 2442, 14081, 3496, 75230, 20315, 3131, 5, 7369, 2205, 6235, 147713, 5666, 7265, 122133, 1982, 123736, 7201, 65482, 1470, 75230, 2932, 5666, 4, 8903, 98055, 2882, 32611, 1285, 119055, 114436, 123329, 4, 32611, 1285, 32054, 54260, 192956, 3373, 39083, 2648, 26632, 5666, 4, 163139, 220224, 46440, 5666, 17268, 5666, 6681, 97634, 2932, 7501, 145813, 29060, 22639, 7508, 6093, 112389, 2882, 22639, 6319, 99766, 5666, 5, 2190, 5666, 22639, 6319, 137377, 9356, 14004, 2865, 37826, 6235, 506, 158291, 5666, 22639, 1470, 54260, 5666, 32899, 22492, 83182, 119718, 7682, 1644, 43178, 22753, 1982, 7508, 6093, 121193, 75230, 1644, 37640, 5666, 6, 196332, 36326, 161829, 1211, 5, 6093, 37826, 6681, 6, 75230, 4944, 4151, 4852, 43178, 1285, 117902, 30473, 42180, 32611, 5666, 3373, 97634, 4944, 142429, 4, 54745, 2865, 162726, 2808, 97634, 8300, 119718, 13456, 5666, 4151, 123736, 4852, 123073, 7213, 7511, 2190, 5666, 54745, 2865, 191795, 25207, 119718, 6235, 119718, 29766, 65482, 2865, 6428, 29766, 7201, 6, 153222, 25207, 119718, 13456, 178107, 5, 6093, 4151, 87311, 13497, 22753, 4944, 12, 13159, 3056, 6235, 159696, 5666, 22639, 206105, 193012, 1470, 144532, 6, 113889, 4944, 54745, 2865, 4, 163139, 14856, 37826, 26394, 29060, 2865, 43178 ]

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

[ 6, 80885, 22426, 62067, 183202, 5666, 2190, 5666, 14856, 37826, 107020, 120202, 8903, 7916, 33716, 22639, 6319, 29766, 22426, 24244, 29659, 34557, 27, 26217, 16932, 28714, 5666, 2205, 6, 113889, 4944, 120202, 8903, 3131, 119718, 115536, 5, 107020, 1751, 119718, 710, 47526, 2882, 7508, 6093, 6319, 137377, 5, 72788, 1644, 29259, 47332, 6, 186461, 5666, 5, 163139, 1470, 30842, 2442, 1751, 119718, 710, 46685, 4, 7265, 5666, 117902, 23269, 2865, 19532, 25046, 5, 1211, 418, 10705, 5666, 160238, 8903, 17494, 2865, 43178, 3056, 6, 64260, 199145, 12, 25491, 5666, 115536, 3056, 132025, 8903, 17494, 2865, 43178, 1470, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 37640, 5666, 34654, 119718, 15533, 17645, 29659, 34557, 12, 2451, 137, 13342, 23847, 54260, 2882, 5666, 1285, 9356, 174410, 54260, 43178, 4, 292, 1285, 200795, 4, 9424, 238144, 18415, 2190, 5666, 29434, 710, 18415, 2451, 13342, 2865, 160751, 5666, 10339, 29259, 6093, 1470, 3944, 2808, 20315, 238419, 4, 130170, 29659, 31623, 5666, 1285, 22639, 27720, 194734, 144295, 4, 22753, 141353, 7201, 160238, 115398, 5666, 54745, 2865, 40653, 240863, 40653, 5666, 16175, 29259, 1982, 3373, 97634, 4944, 142429, 5, 7265, 1470, 34482, 64567, 112711, 37640, 5666, 17824, 182759, 2882, 5666, 4, 7265, 1470, 10339, 29259, 6093, 7201, 29766, 506, 122978, 120202, 506, 158291, 5666, 54745, 2865, 3373, 75230, 23269, 2702, 4231, 16870, 5666, 80453, 119718, 905, 3069, 160238, 23269, 2865, 43178, 44458, 132025, 68566, 7201, 155, 27, 10069, 123736, 7916, 89930, 5666, 37640, 2932, 4151, 9356, 174410, 54260, 151614, 1982, 5666, 22753, 4944, 145813, 29060, 6, 195054, 54260, 98833, 620, 29771, 150020, 132, 10069, 141879, 9424, 29259, 2882, 151614, 1982, 2932, 220224, 74806, 123329, 2882, 166464, 2190, 5666, 112389, 2882, 247, 37826, 22753, 4944, 220224, 150271, 29771, 2932, 42493, 6235, 119718, 39083, 2882, 2190, 135469, 54260, 5666, 5, 220224, 194885, 5666, 6235, 147713, 2932, 1470, 29259, 29259, 4113, 104985, 29060, 9213, 12, 119718, 2808, 25207, 24621, 6319, 39083, 13982, 13159, 4, 130170, 6, 112268, 93497, 27, 35189, 224220, 93047, 9221, 37640, 5666, 4151, 184639, 9356, 174410, 54260, 4, 7508, 6093, 60980, 22426, 15907, 112711, 3373, 29766, 218241, 24295, 4, 37826, 6235, 28317, 153222, 2882, 4, 119055, 43178, 4151, 54745, 110970, 48253, 7682, 37826, 107020, 4151, 143409, 2882, 95455, 22426, 2808, 22426, 9221, 1644, 37640, 5666, 1285, 119718, 15533, 17645, 29659, 34557, 12, 2451, 18133, 4, 6319, 109316, 119718, 18133, 1470, 54260, 59461, 4, 119055, 6093, 37826, 124724, 4151, 1644, 75230, 47332, 874, 16011, 119055, 37016, 5666, 32, 4944, 14081, 33809, 710, 4, 182261, 4, 22639, 122133, 75578, 112389, 2882, 38, 32, 6093, 37826, 22753, 4944, 163139, 35189, 3069, 8903, 2648, 87442, 7265, 4151, 6, 88660, 50853, 25207, 2190, 5666, 7265, 5666, 41764, 13845, 36723, 88680, 5666, 6319, 137377, 2190, 5666, 6235, 39248, 137377, 29060, 163139, 1470, 6, 74004, 16932, 6, 75578, 5, 68561, 182759, 2702, 43178, 88660, 4151, 54745, 110970, 48253, 7682, 3056, 95298, 42493, 120202, 8903, 226112, 2882, 5666, 37640, 91275, 29060, 12, 2451, 119055, 2808, 36326, 163139, 2702, 29771, 88660, 17160, 64567, 29766, 142429, 17645, 4, 119055, 2808, 36326, 27, 292, 7369, 37826, 95455, 6, 61397, 225975, 2882, 7265, 1470, 99509, 5666, 874, 75230, 1644, 4, 163139 ]

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

[ 1470, 16175, 46590, 4113, 292, 6681, 112711, 1470, 29434, 23174, 192956, 2442, 9356, 61541, 27, 37640, 5666, 6319, 29766, 22426, 24244, 29659, 34557, 27, 2451, 37640, 5666, 119055, 13845, 30741, 6319, 29766, 22426, 24244, 32, 18133, 4, 199145, 14779, 119718, 39340, 126934, 32, 2451, 37640, 5666, 43649, 34557, 4, 6, 64260, 3056, 81444, 1982, 1285, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 4, 292, 22639, 32611, 182759, 2702, 135118, 120467, 364, 62067, 21422, 16932, 2882, 1285, 10498, 39083, 4113, 17190, 194734, 41764, 2808, 22426, 9221, 4, 199145, 4151, 895, 16932, 6093, 22518, 29259, 75578, 37826, 107020, 1470, 98071, 75578, 193120, 5, 292, 3056, 199145, 119055, 29060, 11265, 20033, 1982, 68561, 75230, 1644, 5666, 32, 2451, 4269, 54260, 3069, 5950, 10069, 1751, 119718, 2808, 29025, 4231, 29766, 38, 6, 225975, 9213, 4944, 124724, 4, 216747, 31467, 710, 4, 19532, 75230, 2702, 37640, 50856, 112711, 43178, 38, 35189, 60980, 22426, 15907, 112711, 3373, 29766, 218241, 24295, 37826, 1054, 35189, 6235, 39248, 137377, 29060, 4, 95298, 1285, 132025, 8903, 13342, 16747, 65482, 3944, 40920, 4, 199145, 3056, 6235, 29659, 112711, 43178, 6, 113889, 35596, 37640, 5666, 117902, 23269, 2865, 4, 37826, 107020, 74806, 97634, 12984, 1285, 1470, 75230, 2932, 5, 37826, 7369, 22753, 4944, 1470, 29434, 54260, 6235, 97634, 2932, 4, 34072, 16747, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 1285, 506, 62067, 37640, 5666, 130170, 4151, 6, 88660, 50853, 25207, 4, 120202, 8903, 73381, 13497, 1470, 54260, 5666, 1470, 75230, 2932, 4, 4151, 4852, 43178, 10676, 195054, 54260, 188201, 32611, 182759, 36419, 2932, 171433, 5, 7369, 37826, 22753, 4944, 163139, 4151, 87311, 13497, 132025, 5332, 22426, 13159, 1470, 1530, 119718, 710, 40920, 125897, 6, 74004, 4944, 12, 137, 2648, 115536, 22753, 4944, 4, 47833, 4151, 117902, 30473, 42180, 155, 32, 7265, 4151, 198754, 150839, 62067, 37826, 7369, 3069, 61397, 905, 20911, 3069, 22753, 1982, 1285, 6, 57277, 28317, 29060, 39340, 4, 119055, 33809, 8947, 3056, 6235, 29659, 112711, 43178, 1285, 3944, 40920, 4, 3069, 8903, 3111, 2865, 43178, 95455, 67826, 21733, 41764, 2808, 22426, 9221, 37640, 5666, 32611, 182759, 2702, 135118, 120467, 506, 62067, 5, 2451, 192183, 16803, 4269, 54260, 5666, 38, 710, 3523, 54260, 5666, 4, 119055, 101503, 9356, 4151, 16175, 9221, 38, 6093, 37826, 6, 143409, 6, 195054, 54260, 35596, 4, 22753, 1982, 6235, 13982, 54260, 2882, 32611, 5666, 6235, 28726, 6093, 2190, 5666, 1470, 364, 15350, 4944, 8903, 97634, 5666, 4, 3069, 4151, 3131, 46545, 5666, 7265, 54745, 2865, 22639, 22753, 1982, 9934, 29259, 5666, 2190, 69708, 121658, 9221, 5927, 29259, 2882, 5, 2451, 119055, 37016, 21776, 2865, 60980, 22426, 15907, 112711, 6, 80453, 7682, 64260, 38, 80453, 7682, 64260, 5666, 37826, 874, 43178, 6681, 3131, 22426, 99766, 119055, 37016, 5666, 12, 7369, 3056, 6235, 147713, 5666, 364, 41595, 6093, 68542, 24295, 6, 159696, 177282, 37640, 5666, 9424, 39083, 125897, 9721, 29060, 28726, 4944, 2190, 5666, 37826, 1751, 75230, 5666, 221387, 119055, 141847, 199145, 13159, 364, 104274, 21295, 22753, 4944, 5, 37826, 7369, 22753, 4944, 120202, 61397, 25046, 5666, 12, 2451, 9213, 4944, 564, 18640, 1751, 75230, 5666, 6, 72841, 4, 9213, 1982, 33718, 22753, 4944, 132025, 292, 7369, 37826, 32611 ]

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

[ 22753, 1982, 6235, 8300, 75230, 5666, 5666, 1285, 7508, 29259, 23093, 75230, 4852, 5666, 2190, 5666, 37826, 60118, 905, 98071, 4484, 6235, 22680, 4113, 98833, 12, 2451, 199145, 4, 6681, 112711, 3523, 29259, 2702, 32, 35189, 224220, 104274, 9221, 37826, 42493, 6235, 35596, 59919, 2882, 5, 7369, 37826, 4151, 905, 43178, 22639, 163139, 177243, 20315, 2865, 54745, 110970, 48253, 7682, 2190, 5666, 37826, 22753, 4944, 9424, 123073, 159696, 2882, 12, 2451, 216747, 31467, 710, 4, 34076, 29771, 2865, 22426, 38, 199145, 43649, 54260, 126934, 4, 163139, 1470, 6235, 2865, 39083, 16932, 4, 119055, 6093, 6, 141353, 94626, 1982, 6, 90848, 32, 364, 54260, 2702, 119055, 37016, 5666, 1285, 40653, 125897, 49920, 5666, 123736, 7916, 89930, 5666, 5, 35189, 19532, 29259, 23405, 37016, 73136, 114436, 60980, 22426, 15907, 112711, 6, 80453, 7682, 64260, 37826, 22753, 4944, 6235, 126700, 5666, 1285, 1470, 75230, 2932, 5666, 4, 8903, 4852, 15435, 21295, 1285, 7508, 29259, 48253, 5666, 12, 2451, 6235, 88660, 13497, 6, 113889, 4944, 11211, 22426, 3131, 620, 29771, 150020, 5, 1285, 7369, 2648, 170479, 220224, 23050, 2865, 43178, 38, 35189, 224220, 104274, 9221, 3373, 29766, 218241, 24295, 37826, 5960, 22753, 4944, 74806, 28726, 22426, 2882, 1285, 119055, 39083, 7682, 13159, 1470, 17310, 87309, 177148, 12, 2451, 22639, 1285, 43649, 34557, 5666, 22753, 8300, 5666, 6681, 4113, 16932, 4, 22639, 1285, 43649, 34557, 5666, 2205, 874, 43178, 6681, 3111, 2865, 43178, 7265, 199145, 11265, 163139, 21295, 4, 133190, 42493, 7265, 107189, 4944, 29771, 24621, 171433, 8903, 147713, 5927, 29259, 2882, 5666, 27, 2451, 199145, 3056, 32, 80453, 7682, 64260, 37826, 40653, 195054, 54260, 35596, 1285, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 4, 6235, 96256, 22426, 2882, 22753, 51172, 24295, 1285, 364, 75230, 4852, 20260, 79238, 65482, 2702, 4, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 54745, 2865, 117902, 33716, 2702, 18640, 20961, 2190, 2932, 6681, 75230, 1982, 77188, 123736, 2932, 4151, 3944, 40920, 5, 7369, 37826, 42493, 6235, 119718, 33809, 16803, 4, 6681, 199145, 4151, 60980, 22426, 15907, 123844, 29766, 218241, 24295, 22753, 2648, 21295, 182261, 54745, 2865, 43649, 34557, 5, 81444, 3056, 6235, 159696, 5666, 116486, 16803, 2190, 5666, 6, 150271, 18415, 47526, 4113, 4944, 12, 2451, 17824, 54260, 2882, 22753, 1982, 3069, 1470, 5, 132025, 68566, 7201, 27, 2702, 29766, 218241, 24295, 37826, 1751, 75230, 5666, 6235, 905, 22426, 2882, 212911, 2882, 119055, 46646, 6093, 37640, 5666, 7508, 6093, 14856, 3131, 114436, 15388, 4484, 119718, 99766, 4, 199145, 2205, 6235, 159696, 5666, 185000, 37640, 5666, 1470, 11211, 4, 39293, 5, 7369, 37826, 22753, 4944, 6235, 159696, 16747, 2882, 13342, 6, 80453, 7682, 64260, 5666, 12, 2451, 6, 105515, 22753, 4944, 132025, 119055, 20961, 63593, 4, 20033, 119055, 13845, 5666, 9356, 50853, 132025, 506, 54260, 1982, 5666, 160751, 5666, 10184, 6093, 27, 29771, 75578, 6428, 99766, 5666, 22639, 1285, 43649, 34557, 2932, 4, 220224, 151614, 1982, 5666, 6428, 99766, 5666, 1470, 199720, 200117, 5666, 6, 97634, 13159, 27, 220224, 24621, 2932, 5666, 7508, 54260, 2648, 5666, 7265, 219047, 133190, 122133, 30750, 119055, 6093, 16932, 4, 9213, 1982, 6681, 29659, 54260, 199145, 2442, 99766, 5666, 6, 105515, 22753, 4944, 27, 6093, 37826, 7265, 5666 ]

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

[ 6319, 137377, 1470, 1751, 218241, 1644, 6235, 97634, 5666, 3069, 874, 15533, 25207, 4944, 12, 2451, 123736, 85465, 76216, 29771, 711, 5, 5, 2451, 199145, 32, 292, 6, 80453, 7682, 64260, 37826, 163139, 35189, 42493, 6681, 29659, 112711, 43178, 4, 292, 8947, 364, 54260, 1982, 54561, 710, 4944, 132025, 7369, 16667, 18415, 120202, 6093, 173149, 2702, 32, 2451, 9213, 1982, 6, 225975, 81444, 4944, 4, 1751, 54260, 10069, 2865, 6, 238144, 2702, 5666, 220224, 4, 199145, 220224, 33718, 43178, 6428, 99766, 5666, 9213, 1982, 1285, 29659, 34557, 5666, 27, 220224, 163139, 67873, 4, 292, 4151, 224220, 104274, 9221, 37826, 1470, 6, 98055, 6235, 97634, 5666, 32611, 4151, 2882, 9221, 5, 4151, 54745, 110970, 48253, 7682, 3056, 6428, 99766, 1211, 42493, 6235, 159696, 5666, 292, 220224, 163139, 1644, 5666, 117902, 36326, 96256, 159696, 21733, 54260, 4484, 5666, 1470, 12023, 35044, 3373, 39083, 127731, 48253, 71512, 4, 6, 212484, 5666, 3069, 4151, 84475, 27, 95298, 145813, 29060, 5, 13159, 10498, 87442, 1751, 75230, 5666, 22639, 9181, 23741, 7265, 1751, 29631, 63593, 27, 2451, 9213, 1982, 874, 54260, 5666, 1470, 75230, 1982, 12, 7265, 21776, 119718, 39083, 9183, 42180, 27, 2451, 80453, 7682, 64260, 37826, 22753, 4944, 5950, 54260, 2932, 35189, 25391, 218241, 5666, 6681, 194885, 7508, 54260, 4667, 5, 7369, 37826, 7265, 107020, 109636, 2882, 1470, 21422, 6235, 97634, 5666, 1285, 12666, 23741, 7265, 4151, 6, 113889, 4852, 4, 163139, 35189, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 1470, 41764, 2808, 22426, 9221, 120467, 2190, 2932, 6681, 75230, 104238, 2882, 5, 13159, 194885, 5666, 6235, 17494, 2865, 43178, 1285, 40653, 125897, 9424, 238144, 123736, 7916, 89930, 5666, 292, 60980, 200117, 109316, 119718, 7265, 5666, 80453, 2808, 204403, 93509, 48253, 7682, 6, 88660, 59094, 29771, 119718, 5, 51963, 194885, 5666, 19532, 75230, 2702, 32611, 29434, 75230, 46053, 5, 35189, 11211, 17017, 2205, 64890, 200117, 5, 6235, 159696, 1982, 132025, 8903, 97634, 5666, 22639, 23050, 2932, 90848, 4852, 24295, 64044, 1982, 4, 22639, 8903, 22426, 9183, 95064, 159696, 1982, 37640, 5666, 10184, 177243, 2648, 125897, 6, 105235, 164863, 4, 564, 54260, 46685, 9934, 65482, 5666, 6235, 29659, 112711, 43178, 564, 14081, 75230, 40920, 65482, 37640, 5666, 4151, 17190, 119718, 239162, 4, 6235, 10069, 40920, 6681, 20315, 146873, 7265, 9915, 54260, 5, 17268, 5666, 6, 113889, 35596, 5666, 1751, 34365, 2932, 90848, 1982, 5666, 4, 119055, 33809, 221067, 70598, 112711, 3056, 6235, 4852, 13159, 5666, 4, 37826, 22753, 4944, 4151, 226112, 2932, 2932, 1470, 9934, 40714, 46685, 29259, 5, 14856, 37826, 223779, 7201, 171433, 54196, 37640, 5666, 4151, 564, 215206, 2808, 20315, 12, 2451, 17824, 54260, 2882, 5666, 22753, 4944, 38, 25491, 1285, 68889, 2865, 26632, 5666, 2205, 1285, 1285, 59461, 3131, 145702, 6235, 159696, 5666, 32611, 1285, 7369, 16932, 5, 9356, 10069, 3373, 39083, 2648, 26632, 5666, 37826, 6235, 21733, 2808, 22426, 2882, 1470, 9424, 171433, 123736, 2932, 1470, 9424, 171433, 5, 14856, 37826, 19532, 905, 111137, 8300, 75230, 2932, 22492, 7201, 22753, 4944, 1285, 67826, 119718, 1644, 1470, 67854, 9915, 54260, 4, 22753, 8300, 213952, 32611, 1285, 1157, 55823, 2882, 5666, 4, 32611, 1285, 7265, 22680, 120467, 2882, 9356, 20315, 146873, 43649, 39083, 65482, 43649 ]

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

[ 64567, 43178, 5, 68889, 2865, 26632, 110970, 28726, 101608, 9934, 65482, 5666, 6235, 159696, 2932, 123736, 67854, 4, 163139, 874, 29259, 44478, 37640, 5666, 364, 17310, 6093, 125897, 4, 564, 137119, 2648, 29766, 29659, 125897, 3496, 29259, 13159, 5, 120202, 8903, 119718, 29766, 33225, 9934, 65482, 5666, 6235, 159696, 1982, 1285, 16175, 9221, 28726, 4944, 37640, 5666, 1285, 657, 29766, 17310, 46985, 16803, 16667, 5, 32611, 5666, 9915, 54260, 4852, 29259, 23269, 5666, 6235, 29659, 112711, 43178, 4, 6, 26394, 105235, 1644, 18415, 22639, 7508, 54260, 43178, 4, 98664, 107581, 6319, 75230, 3131, 109316, 4944, 7265, 2592, 25391, 2808, 22426, 151227, 5666, 5, 14856, 3131, 65482, 41764, 710, 95564, 28726, 4944, 2451, 87311, 17800, 13159, 37640, 5666, 64751, 57619, 75230, 4852, 40697, 17824, 182759, 2882, 5666, 2451, 85465, 200117, 5666, 19532, 75230, 2702, 8903, 98055, 2882, 3523, 29259, 61397, 7682, 4, 17824, 54260, 2882, 51963, 119055, 29259, 28726, 3069, 6681, 29659, 137377, 5666, 1285, 3131, 119718, 20961, 26394, 68889, 2865, 26632, 5666, 31249, 17310, 43178, 4, 46654, 98071, 43178, 3069, 74004, 2865, 43178, 7265, 147582, 100863, 2442, 7682, 5666, 16175, 75230, 2882, 5, 35189, 224220, 93047, 9221, 3056, 1470, 159696, 4484, 32611, 5666, 6, 172060, 185226, 2190, 5666, 37826, 7265, 8903, 3111, 2865, 43178, 7265, 30473, 4944, 73095, 48974, 54260, 4113, 119718, 5666, 5, 25491, 2865, 223779, 7201, 171433, 22753, 56169, 221067, 70598, 112711, 5, 7369, 22753, 56169, 2190, 2932, 6, 210674, 5950, 8300, 6, 159696, 2932, 16667, 18415, 22426, 62067, 3131, 24295, 5, 7369, 10184, 21295, 4, 47833, 9356, 119425, 107776, 132025, 1285, 9424, 29259, 2882, 4, 119055, 43178, 7369, 119055, 29060, 2648, 29771, 3523, 54260, 46545, 46601, 20961, 150020, 9934, 29259, 5666, 12, 137, 80885, 22426, 62067, 183202, 37826, 1470, 119055, 29259, 2882, 5666, 6, 98055, 4, 7369, 29766, 98071, 35596, 54196, 22753, 4944, 4, 7369, 3056, 212911, 2882, 73906, 46545, 155, 27, 22639, 223779, 7201, 171433, 2442, 6093, 1644, 37826, 132025, 8903, 506, 75230, 1982, 5666, 90284, 24621, 2932, 12, 2451, 18133, 49920, 16803, 32, 6, 5, 2451, 9213, 1982, 49920, 5, 2451, 19302, 29766, 32, 2451, 19302, 29766, 5, 2451, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 5, 4151, 6, 89991, 12, 6, 105780, 6293, 2190, 2932, 1470, 4944, 10918, 4484, 5, 7265, 17824, 182759, 2882, 5666, 5, 2451, 40653, 8903, 8903, 1982, 5666, 5, 2451, 29434, 29259, 7508, 54260, 43178, 38, 2451, 40653, 8903, 8903, 1982, 5666, 5, 10705, 5666, 8947, 37826, 1470, 364, 54260, 1982, 6235, 97634, 2932, 4, 1470, 21422, 16932, 6235, 97634, 5666, 12, 26394, 47526, 123329, 45521, 38054, 2882, 34557, 33104, 43178, 151614, 1982, 5666, 22753, 1982, 2190, 111137, 101328, 98833, 22639, 1470, 54260, 23269, 2865, 5, 7265, 4852, 54260, 123073, 68889, 18415, 133933, 29771, 43178, 6235, 121865, 5666, 54745, 2865, 191795, 48974, 5, 8947, 3056, 6235, 119718, 29766, 5666, 1470, 6, 123103, 28714, 3131, 17268, 59461, 2648, 2190, 5666, 9915, 54260, 5, 1470, 7213, 16932, 4113, 43449, 64260, 4113, 37826, 22753, 4944, 6235, 119718, 14081, 61397, 2882, 6681, 1285, 85465, 70598, 26632, 5666, 5, 2190, 5666, 37640, 5666, 364, 41595, 5666, 4, 22639, 119055, 14081, 2648, 4, 151614, 1982, 2932, 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 ]

[ 26394, 23822, 54260, 35044, 18415, 9915, 54260, 43178, 37640, 57619, 174798, 218241, 65482, 564, 54260, 46685, 1285, 75290, 46601, 87442, 1285, 1470, 29259, 5666, 8903, 119718, 2808, 25207, 188201, 119055, 29766, 34709, 43178, 74, 4852, 54260, 123073, 43649, 98229, 43178, 194885, 5666, 6235, 159696, 1982, 130363, 28726, 188201, 4, 58573, 905, 105235, 36326, 5, 6, 113889, 4944, 1285, 200795, 1751, 120467, 5666, 151614, 1982, 5666, 1285, 3373, 39083, 2648, 26632, 2932, 130170, 8903, 96256, 57619, 2882, 3069, 74004, 2865, 43178, 7265, 34654, 105884, 6093, 37640, 5666, 1285, 68889, 2865, 26632, 5666, 4, 95298, 182261, 194885, 5666, 220224, 1751, 75230, 46685, 42493, 74806, 80453, 17310, 43178, 5, 220224, 3056, 1751, 75230, 5666, 6235, 159696, 5666, 119055, 20961, 63593, 5, 220224, 151614, 1982, 5666, 32899, 22492, 83182, 8903, 3131, 22426, 69336, 29060, 34654, 364, 37016, 28726, 4944, 37640, 5666, 1285, 7213, 151227, 5666, 4, 120202, 8903, 212484, 5666, 1285, 564, 75230, 39248, 52480, 172398, 5, 13159, 3056, 6235, 119718, 29766, 2932, 364, 54260, 2702, 5, 17268, 5666, 4151, 6428, 29259, 48253, 152185, 9934, 29259, 2882, 37826, 874, 43178, 42493, 6235, 35596, 59919, 2882, 5, 163139, 29434, 29259, 48253, 5666, 119055, 39083, 2882, 5666, 81444, 220273, 42493, 6235, 147713, 5666, 6, 150271, 29259, 29060, 2190, 2932, 6235, 15529, 119425, 7682, 6235, 159696, 33716, 68561, 7508, 6093, 143628, 86733, 22639, 27720, 194734, 144295, 5, 5666, 23173, 1285, 143628, 36326, 137, 109636, 51172, 18415, 155, 37826, 22753, 1982, 37640, 5666, 6, 99766, 42493, 6, 61397, 54196, 5, 1837, 68313, 6235, 159696, 5666, 17824, 54260, 2882, 3069, 78956, 35189, 5666, 22753, 1982, 7265, 1285, 21776, 48253, 5666, 4, 95298, 42493, 3069, 39384, 22492, 24295, 1470, 96256, 39340, 5, 33809, 68561, 5666, 130154, 5666, 10339, 143409, 37640, 5666, 4151, 9356, 174410, 54260, 4, 119055, 33809, 1285, 17824, 88680, 7972, 7511, 13159, 37640, 5666, 7508, 6093, 148346, 4113, 4944, 64260, 4113, 9934, 29259, 8903, 5666, 6235, 147713, 5666, 4, 163139, 133190, 13159, 37640, 5666, 30109, 64260, 5666, 4, 119055, 33809, 137, 88660, 12415, 90848, 164863, 155, 151614, 1982, 23405, 73381, 54196, 3069, 130170, 6093, 2648, 40697, 364, 54260, 1644, 5666, 4, 151614, 1982, 5666, 22753, 1982, 22639, 212911, 2882, 5666, 33718, 177243, 37640, 91275, 182759, 40920, 9356, 119718, 15533, 5666, 17824, 75230, 4113, 1751, 64260, 16667, 5, 163139, 132025, 7201, 29766, 2865, 123329, 17824, 75230, 6093, 6, 48253, 77525, 33104, 4, 194885, 5666, 220224, 6235, 29659, 112711, 43178, 1470, 18640, 1470, 874, 182879, 119718, 4, 163139, 1470, 1285, 75290, 9721, 104274, 119718, 62067, 5, 2648, 120467, 194885, 5666, 6235, 29659, 112711, 43178, 7508, 64260, 13159, 3373, 39083, 2648, 26632, 5666, 4, 21776, 29659, 5666, 37640, 5666, 4151, 29434, 29259, 10705, 54561, 16011, 21660, 7682, 82576, 1285, 119718, 15533, 17645, 5, 37640, 5666, 4151, 1285, 119718, 15533, 17645, 37826, 178748, 1751, 75230, 5666, 40026, 49597, 6093, 13342, 8903, 3111, 2865, 43178, 22753, 1982, 5666, 2190, 5666, 45521, 29025, 7682, 15864, 5666, 2190, 5666, 9424, 79238, 120467, 5666, 5, 182261, 9934, 29259, 8903, 5666, 32611, 1285, 7201, 143409, 43178, 6235, 29659, 112711, 43178, 123736, 7916, 89930, 5666, 2451, 25491, 200651, 54260, 239162, 5666, 88660, 28714, 107829, 48974, 4, 6, 90848, 18415, 88660 ]

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

[ 28714, 107829, 164863, 4, 60980, 22426, 15907, 112711, 43178, 2190, 5666, 43649, 34557, 2702, 46985, 22426, 15907, 112711, 43178, 5, 220224, 194885, 2932, 6681, 1982, 29259, 8903, 185337, 43178, 1285, 132025, 7201, 29766, 9719, 39340, 7508, 54260, 43178, 2190, 5666, 160751, 29060, 5666, 22753, 4944, 12, 2451, 44917, 200117, 4151, 620, 115536, 564, 34882, 177148, 11265, 34482, 1644, 75230, 1982, 5, 2451, 9213, 4944, 119055, 13845, 1470, 29259, 4944, 132025, 97634, 5666, 22639, 4269, 171433, 26394, 67826, 119718, 1644, 292, 37826, 3069, 8903, 225975, 2882, 35189, 224220, 183512, 9221, 37640, 5666, 117902, 63849, 5, 2451, 9213, 1982, 119055, 13845, 1470, 29259, 4944, 120202, 91163, 5666, 119055, 29259, 2882, 22639, 6, 175221, 4, 1470, 18640, 4151, 59919, 27, 2451, 11265, 119055, 29060, 9356, 17494, 2865, 43178, 72577, 8947, 5666, 27, 10069, 15864, 36419, 37826, 74806, 119718, 18640, 5666, 5, 1285, 15864, 36419, 3056, 6235, 159696, 5666, 165284, 2865, 5, 2451, 11265, 119055, 29060, 22753, 4944, 6150, 75230, 1470, 75230, 49268, 905, 43178, 4, 163139, 11265, 37826, 42493, 6235, 127583, 22639, 4151, 506, 54260, 2865, 4, 9213, 4944, 119055, 13845, 1470, 29259, 1982, 19532, 29259, 5666, 91163, 5666, 22639, 4151, 59919, 7265, 132025, 1470, 114564, 32054, 75230, 12483, 4, 62808, 5666, 4151, 1644, 75230, 1982, 5666, 27, 10069, 564, 116367, 5666, 194885, 5666, 6235, 29659, 112711, 43178, 364, 101503, 137, 13342, 2865, 6, 64991, 2909, 2451, 11265, 119055, 29060, 9356, 17494, 2865, 43178, 6235, 29766, 25222, 25616, 54260, 8300, 5666, 4, 11265, 119055, 29060, 6, 159696, 164863, 130170, 29771, 7916, 89930, 5666, 4, 292, 37826, 3069, 2865, 158628, 5666, 874, 39083, 6235, 225975, 2882, 7508, 6093, 117902, 1644, 88660, 119718, 29171, 30109, 4113, 34575, 7511, 88660, 119718, 2190, 5666, 3069, 8903, 8903, 1982, 5666, 12, 2451, 11265, 43649, 54260, 2882, 81444, 4944, 6, 62067, 39340, 2932, 5666, 3373, 75230, 23269, 4, 119055, 29060, 11265, 42493, 160238, 23269, 2865, 43178, 1470, 113889, 68566, 7201, 115222, 2932, 5666, 107020, 4, 119055, 29060, 7369, 95455, 166464, 115222, 2932, 5666, 9213, 1982, 5, 6093, 37826, 1470, 33718, 55823, 6235, 97634, 2932, 7265, 5666, 6, 64991, 12, 2451, 3496, 54595, 54260, 12415, 2865, 4, 11265, 119055, 29060, 81444, 9424, 79238, 120467, 5666, 6, 159696, 164863, 32611, 5666, 6, 99766, 38, 4852, 29259, 23269, 5666, 19532, 75230, 2702, 9424, 238144, 12, 3373, 28726, 22426, 88660, 119718, 4, 44458, 187483, 6093, 37640, 5666, 6, 109636, 16932, 155073, 4, 2190, 22492, 78104, 44478, 41764, 75230, 6093, 292, 564, 64260, 56914, 29771, 119718, 5, 2451, 20033, 5666, 42493, 132025, 23847, 29259, 150020, 38, 2485, 4852, 54260, 151614, 1982, 5666, 48494, 203232, 1470, 75230, 2702, 8903, 25391, 98071, 43178, 22639, 4151, 6, 159696, 21295, 19532, 29259, 5666, 4, 292, 3069, 2865, 163139, 13497, 5, 13342, 4151, 10184, 57619, 16932, 6093, 112389, 2882, 5, 220224, 151614, 1982, 5666, 95455, 4, 163139, 44458, 2190, 22680, 25046, 4, 9424, 77928, 20911, 2808, 88680, 5666, 32054, 29771, 13497, 27, 2451, 11265, 9934, 29259, 2882, 7265, 2190, 50856, 1211, 1470, 29259, 110970, 15231, 134067, 4, 78956, 35189, 32, 2451, 1470, 29259, 110970, 15231, 134067, 4, 1470, 29259, 110970, 15231, 134067, 27, 2451, 20033, 5666, 42493, 27, 2442, 6093, 117902 ]

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

[ 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 6235, 88660, 28714, 152848, 159696, 2882, 5, 2451, 29659, 54260, 2932, 32054, 29259, 38, 2932, 29766, 1285, 3373, 39083, 2442, 26632, 5666, 151614, 1982, 5666, 95455, 874, 39083, 42493, 9356, 141353, 23741, 151614, 1982, 5666, 6319, 54260, 83182, 1644, 75230, 1982, 161829, 4, 220224, 194885, 5666, 6150, 75230, 1470, 75230, 1982, 6235, 29659, 112711, 43178, 137, 22680, 29259, 2909, 12415, 15864, 36419, 4, 1285, 17824, 75230, 4113, 7213, 151227, 5666, 151614, 1982, 5666, 22753, 4944, 5950, 54260, 5666, 564, 68561, 75230, 1644, 5666, 12, 137, 4484, 84662, 75322, 155, 10705, 5666, 194885, 5666, 22753, 4944, 98252, 9424, 37016, 90848, 30741, 4, 163139, 874, 29259, 4852, 22639, 1285, 133190, 13159, 4, 22639, 1285, 137, 88660, 12415, 90848, 164863, 2004, 6235, 90536, 18406, 22753, 8300, 5666, 22639, 4151, 10184, 57619, 16932, 7265, 6, 113889, 4944, 28415, 6, 105780, 56169, 123073, 61397, 167622, 43178, 5, 2451, 42493, 34654, 164863, 22753, 1982, 45521, 6, 101503, 38, 292, 37826, 6235, 7201, 142429, 77188, 3373, 28726, 22426, 88660, 119718, 2451, 14856, 159696, 2882, 182261, 6093, 42493, 9424, 77928, 2702, 5666, 5, 3069, 145813, 29060, 27, 2451, 1470, 54260, 59461, 6681, 51963, 2865, 43178, 4, 51963, 6681, 1470, 54260, 23269, 2865, 5, 117902, 63849, 5666, 9424, 77928, 16803, 874, 43178, 42493, 5, 2451, 119055, 29060, 37922, 21660, 6093, 19532, 75230, 2702, 8903, 1982, 2932, 4, 170479, 7369, 9356, 8300, 29259, 2882, 16667, 6, 225975, 5666, 163139, 20315, 38, 2451, 20033, 6, 141353, 150020, 182261, 9934, 29259, 5666, 132025, 8903, 29659, 189623, 98833, 163139, 32611, 81444, 4852, 29766, 5666, 4, 163139, 32611, 90848, 4852, 29766, 5666, 4, 78956, 35189, 5, 2702, 28726, 22426, 88660, 119718, 2702, 119055, 6093, 16932, 151614, 1982, 5666, 22753, 4944, 19532, 29259, 5666, 8903, 117260, 2882, 5666, 7265, 564, 137119, 22639, 6, 204932, 39083, 2648, 26632, 40697, 6, 61397, 167622, 43178, 5, 10069, 15864, 36419, 37826, 42493, 6, 238197, 5, 22753, 2205, 6235, 147713, 5666, 4, 6235, 4852, 13159, 5666, 4, 6235, 29659, 112711, 43178, 4, 8903, 65285, 2882, 4, 6235, 46985, 153222, 2882, 130170, 22753, 4944, 1285, 6, 131445, 163139, 564, 54260, 21847, 27, 1285, 15864, 36419, 37826, 8903, 88660, 40920, 4, 163139, 85596, 1644, 8300, 22639, 16175, 75230, 4852, 13497, 9424, 238144, 364, 88917, 77188, 199720, 2648, 24244, 5666, 5, 2808, 35189, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 78683, 119718, 3056, 120202, 8903, 22492, 148346, 43178, 37640, 5666, 1285, 6, 26394, 1982, 33104, 16932, 159696, 18415, 3373, 39083, 2648, 26632, 5666, 2190, 5666, 37826, 2190, 111137, 144581, 1982, 2932, 1285, 123736, 7916, 89930, 5666, 32611, 1470, 46601, 2808, 105515, 5, 4852, 29259, 23269, 5666, 1285, 137, 506, 6093, 5666, 123736, 7916, 89930, 5666, 155, 6235, 4852, 13159, 5666, 9356, 6, 75230, 1982, 1470, 18640, 1285, 6235, 45629, 24621, 1751, 34365, 23847, 88680, 4, 9356, 99176, 47332, 1285, 1157, 8903, 4, 199145, 37826, 22753, 1982, 74806, 68561, 5666, 1470, 18640, 4151, 137, 506, 13845, 2648, 152185, 2004, 6, 5, 23822, 29259, 6093, 155, 29434, 29259, 10705, 5666, 75230, 30750, 89991, 82576, 1285, 119718, 15533, 17645, 5, 220224, 151614, 1982, 5666, 1470, 77014, 4944 ]

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

[ 61397, 54260, 104238, 2882, 4, 74806, 22426, 18640, 5666, 5, 3069, 6319, 54260, 5666, 9356, 65577, 42493, 6235, 17494, 2865, 43178, 5, 2451, 2181, 564, 29060, 1470, 4151, 1644, 75230, 1982, 161829, 1470, 29259, 4944, 3069, 55242, 2932, 4, 119055, 2808, 36326, 163139, 2702, 29771, 88660, 1982, 17410, 113889, 304, 2451, 363, 75230, 418, 729, 90848, 144295, 4, 44458, 1470, 78963, 2882, 62067, 37640, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 5, 11265, 119055, 29060, 4151, 15350, 75230, 1982, 5666, 32, 292, 95455, 37826, 6235, 22680, 4113, 98833, 4151, 4231, 17310, 6093, 41764, 45629, 204403, 93509, 48253, 7682, 4, 199145, 9213, 8903, 29659, 112711, 43178, 32611, 4151, 119055, 34557, 12, 1285, 119055, 2808, 4944, 37826, 874, 43178, 6, 190135, 137, 68561, 6, 63188, 12, 7201, 21106, 155, 27, 2451, 9213, 4944, 119055, 13845, 107020, 6, 5, 2190, 150020, 63593, 43178, 4, 292, 37826, 6235, 225975, 2882, 4151, 117902, 1644, 88660, 119718, 29171, 25616, 119273, 7511, 88660, 119718, 5, 68313, 6235, 119718, 29766, 5666, 212911, 2882, 130170, 1285, 6319, 39083, 59461, 2702, 9356, 1470, 77014, 4944, 123736, 7916, 89930, 5666, 4, 29771, 75578, 9356, 50853, 3056, 220224, 6235, 119718, 29766, 5666, 364, 54260, 2702, 5, 37640, 5666, 77014, 24621, 130154, 5, 10339, 143409, 4, 37640, 5666, 54745, 112304, 16011, 29060, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 3056, 6235, 17494, 2865, 43178, 7265, 1470, 41764, 34882, 29060, 44458, 1470, 78963, 2882, 62067, 37640, 5666, 117902, 63849, 5, 35189, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 3069, 8903, 3111, 2865, 43178, 54745, 2865, 41764, 34882, 29060, 2190, 22492, 15533, 6235, 90536, 1982, 5666, 22753, 8300, 5666, 7265, 1470, 6681, 25391, 16011, 65482, 2865, 6, 98624, 109316, 41764, 2808, 22426, 9221, 4, 43449, 54260, 4944, 2190, 5666, 64044, 3131, 119718, 710, 56169, 5, 2451, 49920, 5666, 123736, 7916, 89930, 2932, 4, 292, 37826, 7369, 6235, 225975, 2882, 7265, 6, 150349, 54595, 195164, 1470, 18640, 122133, 2648, 4852, 4, 137377, 8903, 506, 125942, 4, 292, 4151, 1751, 159696, 2442, 6093, 4269, 75230, 2442, 1644, 37640, 5666, 6681, 26632, 3056, 1470, 75230, 2702, 8903, 145168, 5666, 1470, 75230, 51172, 150020, 22753, 1982, 29060, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 5, 6, 64260, 27, 6093, 37826, 1470, 75230, 4944, 8903, 29659, 2442, 87442, 95455, 9934, 29259, 2882, 109316, 41764, 2808, 22426, 9221, 4, 199145, 3056, 6235, 159696, 5666, 6235, 93509, 126700, 5666, 7265, 4151, 364, 62067, 4, 2190, 5666, 37826, 6235, 225975, 2882, 7265, 1470, 6235, 145168, 65482, 2865, 16175, 171433, 12, 2451, 5, 95455, 207013, 163825, 5, 6093, 37826, 6, 195054, 54260, 35596, 12, 2451, 137, 506, 29259, 13497, 4, 22639, 77014, 24621, 564, 189623, 4, 6, 159696, 2932, 169550, 45223, 2648, 40697, 19532, 15231, 44478, 77820, 64260, 6150, 75230, 46711, 73381, 28726, 1982, 128364, 120467, 5666, 54745, 2865, 3373, 75230, 23269, 2702, 117902, 30473, 42180, 2702, 4, 119055, 43178, 219047, 3056, 8903, 90536, 1982, 2932, 133190, 101251, 119718, 20961, 150020, 107020, 2190, 5666, 6, 101328, 2932, 5666, 132025, 44458, 120202, 506, 158291, 155, 27, 204403, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 163139, 29659, 1470, 75230 ]

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

[ 2702, 54745, 2865, 6, 238144, 2702, 37640, 5666, 9934, 29259, 5666, 10339, 149010, 119718, 26632, 5666, 6319, 137377, 4, 37640, 5666, 6, 89930, 905, 179561, 18415, 43649, 53414, 4, 37640, 5666, 1285, 620, 54260, 150020, 5, 37271, 172060, 185226, 22639, 4151, 9424, 29259, 2882, 151614, 1982, 5666, 22753, 4944, 6, 64260, 10069, 10213, 506, 54260, 195164, 120202, 8903, 225975, 2882, 13342, 4269, 54260, 5666, 22639, 132025, 68566, 7201, 27, 20033, 6, 238144, 2702, 5666, 12, 95455, 3056, 6235, 119718, 21292, 3069, 8903, 23847, 54260, 2882, 7265, 35189, 364, 15096, 7201, 37640, 23269, 2882, 216450, 18640, 62067, 13456, 5666, 10339, 29259, 13497, 4, 95298, 27, 37640, 5666, 874, 29259, 23269, 4231, 98071, 23405, 123073, 29771, 7916, 89930, 2932, 37826, 22753, 4944, 1470, 564, 26632, 69803, 171433, 88660, 2865, 93047, 9221, 7265, 1470, 6319, 75230, 1644, 190800, 8903, 192956, 33716, 54745, 2865, 29566, 68697, 2932, 4, 1285, 40653, 125897, 194885, 5666, 4151, 3131, 203749, 2932, 27, 9213, 4944, 151614, 1982, 53542, 29659, 710, 63532, 132025, 13342, 23269, 2865, 43178, 29434, 23174, 188301, 4113, 174538, 43178, 12, 9213, 1982, 22444, 7201, 19532, 75230, 2702, 1470, 29259, 6093, 204403, 63849, 4, 54745, 2865, 6, 113889, 35596, 16803, 5666, 7544, 69181, 77188, 54260, 1644, 4, 11265, 6, 141353, 23741, 20033, 45223, 150020, 6, 62067, 119718, 29771, 7201, 65482, 5666, 137, 2865, 29259, 23269, 155, 564, 104274, 15907, 5666, 2909, 2451, 119055, 29771, 2050, 119055, 29060, 11265, 6, 225975, 5666, 32, 47351, 35189, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 22753, 4944, 7265, 1470, 17824, 161459, 5666, 6235, 144754, 8903, 159696, 16747, 2882, 3069, 194885, 123736, 7916, 89930, 5666, 4, 19532, 29259, 23405, 37016, 905, 20911, 4231, 123073, 164863, 9356, 46464, 83182, 22639, 6, 148222, 75230, 15388, 4, 6235, 119718, 101503, 5, 2451, 22753, 4944, 119055, 141943, 5666, 22639, 43649, 34557, 37640, 5666, 4151, 1285, 119718, 15533, 17645, 27, 2451, 2190, 5666, 9213, 4944, 874, 54260, 5666, 4, 6150, 95455, 3056, 22639, 4151, 224220, 109636, 18415, 57619, 37640, 5666, 6319, 29766, 22426, 24244, 29659, 34557, 5, 2451, 9213, 1982, 6, 226112, 2932, 19532, 29259, 5666, 1470, 160238, 3131, 203749, 4, 292, 37826, 6235, 225975, 2882, 1470, 43649, 144482, 2808, 22426, 15907, 112711, 7265, 1470, 45521, 38054, 13456, 5, 117902, 23269, 2865, 4, 292, 9213, 1982, 163139, 1644, 160238, 1644, 54260, 2932, 5666, 27, 2451, 210346, 4, 292, 506, 2882, 6235, 35596, 59919, 2882, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 4, 292, 210346, 4, 14004, 4944, 49920, 1470, 29259, 4944, 5, 2451, 128364, 21292, 5666, 21776, 2865, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 7265, 4151, 198754, 115453, 5666, 29171, 6093, 25491, 174410, 54260, 5, 10069, 22753, 8300, 213952, 4113, 123736, 7916, 89930, 5666, 151614, 1982, 5666, 3069, 8903, 3131, 218241, 21295, 7265, 1285, 115222, 22426, 12, 2451, 6235, 7511, 49597, 14081, 38, 2451, 44458, 155787, 54260, 38, 2451, 1470, 75230, 2702, 75290, 5666, 1285, 137, 2702, 155622, 29771, 155, 7265, 1470, 34482, 64567, 112711, 37640, 5666, 17824, 182759, 2882, 5666, 27, 204403, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 37826, 6, 61397, 54260, 2882, 194885, 9721, 54260, 18415 ]

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

[ 119055, 29771, 57619, 5666, 4, 144754, 4151, 130154, 6093, 364, 62067, 37826, 7369, 22753, 1982, 132025, 8903, 3111, 2865, 43178, 6681, 2932, 3373, 39083, 45629, 147502, 5666, 8903, 29766, 25222, 25616, 54260, 8300, 4, 199145, 3056, 9356, 107020, 6235, 506, 122978, 43178, 1470, 67854, 9721, 71616, 5, 2451, 1470, 6235, 3111, 14081, 6093, 1470, 29259, 5666, 145168, 38, 10705, 16747, 4852, 123073, 10213, 73215, 13159, 119055, 13845, 5666, 6, 140746, 4852, 43178, 4, 163139, 14856, 6, 89930, 29259, 47332, 137, 710, 65482, 155, 5960, 88660, 21338, 29060, 5666, 37640, 5666, 4151, 1470, 54260, 2932, 114436, 19532, 15231, 44478, 17645, 4, 6, 159696, 21295, 220224, 6235, 119718, 21292, 19532, 75230, 2702, 8903, 1982, 107829, 130170, 506, 4113, 16932, 155, 27, 6150, 75230, 37826, 6235, 210674, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 5, 6093, 37826, 1470, 119055, 29259, 28726, 6235, 4484, 5666, 54260, 2882, 29659, 9934, 29259, 5666, 6, 105235, 164863, 2190, 2932, 6235, 22680, 4113, 98833, 6, 92867, 98229, 6235, 17494, 24621, 119132, 1470, 78963, 2882, 62067, 37640, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 12, 2451, 11265, 9934, 29259, 98833, 1470, 29259, 110970, 15231, 134067, 4, 49920, 117902, 127583, 3131, 7682, 32, 6235, 61541, 2882, 9213, 1982, 1285, 11265, 54260, 32, 2451, 4151, 1644, 75230, 47332, 20033, 22753, 1982, 132025, 22680, 4113, 2932, 5666, 9356, 2865, 224220, 93047, 9221, 37640, 5666, 117902, 63849, 27, 2451, 7265, 6681, 8903, 110317, 5666, 4, 210346, 220224, 6093, 5, 68313, 4151, 117902, 127583, 3131, 7682, 5332, 13845, 29771, 150020, 3069, 2865, 223779, 7201, 171433, 4, 6235, 21733, 17310, 43178, 3069, 22753, 1982, 1470, 54260, 204403, 63849, 5, 10705, 5666, 1285, 123736, 7916, 89930, 5666, 37640, 5666, 4151, 29434, 29259, 10705, 54561, 16011, 21660, 7682, 82576, 1285, 119718, 15533, 17645, 151614, 1982, 155341, 23174, 6093, 120202, 8903, 64260, 63593, 2882, 12, 2451, 42493, 364, 26612, 1982, 5666, 32611, 22753, 1982, 172590, 46654, 37016, 4, 172590, 3496, 20961, 109636, 38, 292, 37826, 23050, 4852, 29771, 5, 2882, 33225, 144754, 1470, 3944, 4944, 46545, 6235, 119718, 29766, 65482, 2865, 6, 181615, 7508, 6093, 117902, 1644, 88660, 119718, 29171, 30109, 119273, 7511, 88660, 119718, 3069, 6, 148222, 88680, 125897, 123736, 7916, 89930, 5666, 5, 2451, 170479, 1470, 75230, 2702, 2932, 54260, 5666, 3069, 1285, 7213, 101608, 38, 2451, 14856, 119055, 29060, 220224, 9424, 123073, 1982, 5666, 6, 4, 119718, 710, 41764, 15096, 159696, 2442, 4, 1285, 874, 43178, 33809, 119718, 39083, 52480, 27, 2932, 64260, 4151, 91163, 3056, 95455, 22639, 4151, 9356, 174410, 54260, 6235, 17494, 2865, 43178, 1470, 6681, 3131, 119718, 31623, 16932, 4, 68561, 1470, 6681, 3131, 119718, 710, 56169, 5666, 59919, 2442, 1470, 41764, 45629, 204403, 93509, 48253, 7682, 37640, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 5, 6093, 37826, 9934, 29259, 5666, 45521, 136108, 6235, 212484, 5666, 9356, 1285, 7213, 16932, 4113, 564, 54260, 17017, 4113, 4944, 2190, 5666, 2205, 14081, 54260, 5666, 132025, 8903, 3131, 80453, 23174, 43178, 32611, 221067, 70598, 123844, 1751, 34365, 2932, 90848, 1982, 2932, 4, 119055, 43178, 4231, 114436, 3056, 6235, 4852, 13159, 5666, 9356, 2865, 223779, 7201, 171433, 5, 620, 23174, 188301, 1285, 119055 ]

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

[ 6093, 16932, 4, 37826, 7369, 6235, 22680, 4113, 98833, 12, 2451, 119055, 33809, 2205, 1470, 29259, 6093, 224220, 104274, 9221, 32, 26217, 16932, 28714, 5666, 37826, 107020, 6235, 35596, 59919, 2882, 42493, 34076, 29259, 4944, 4, 7369, 37826, 40653, 8903, 8903, 1982, 22492, 224220, 104274, 4113, 37640, 5666, 6, 172060, 185226, 5, 1285, 9356, 174410, 54260, 37826, 1470, 75230, 2702, 8903, 3131, 120467, 1211, 4, 2190, 5666, 4151, 117902, 155, 127583, 3131, 7682, 6, 80453, 7682, 64260, 4, 199145, 3056, 101251, 8903, 2932, 64567, 43178, 364, 24295, 2190, 5666, 98252, 22639, 10339, 143409, 17268, 5666, 4151, 9356, 174410, 54260, 4, 3056, 3069, 8903, 17494, 2865, 43178, 3069, 2865, 1751, 34365, 2932, 90848, 1982, 2932, 5, 4151, 4852, 43178, 54745, 2865, 6, 80453, 20961, 204403, 93509, 48253, 7682, 4, 37826, 7369, 6235, 225975, 2882, 12, 2451, 7508, 6093, 224220, 104274, 9221, 37640, 5666, 4151, 9356, 174410, 54260, 3056, 32611, 5666, 6, 172060, 185226, 5, 199145, 37826, 168892, 107020, 40653, 13342, 23269, 1982, 5666, 32, 152, 2451, 9213, 1982, 113743, 74806, 93449, 37640, 5666, 117902, 1644, 88660, 119718, 29171, 9934, 17410, 97634, 119718, 2442, 26632, 64310, 4, 292, 7369, 37826, 30473, 4944, 101251, 8903, 98055, 2882, 32611, 5666, 22753, 8300, 213952, 4113, 223779, 7201, 171433, 34533, 2190, 5666, 3056, 120202, 132025, 1470, 9934, 29259, 2882, 4, 2451, 6093, 224220, 93047, 4113, 159696, 2882, 7265, 2932, 22753, 1982, 29060, 5666, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 27, 2451, 9213, 1982, 49920, 1470, 29259, 4944, 5, 3056, 199145, 3056, 1470, 29259, 6093, 6681, 143409, 32, 35189, 41764, 45629, 204403, 93509, 48253, 7682, 37826, 40653, 8903, 94114, 5666, 9934, 29259, 5666, 67826, 2865, 5, 22753, 3056, 9356, 14004, 2865, 6235, 119718, 29766, 5666, 364, 54260, 168155, 7682, 4, 6681, 29659, 93449, 5, 7369, 37826, 6235, 3111, 2865, 43178, 137, 22426, 29766, 6, 88660, 30473, 90848, 4484, 2004, 19532, 137377, 8903, 212484, 5666, 147582, 20260, 1285, 364, 62067, 5, 2451, 4151, 117902, 1644, 88660, 119718, 29171, 37826, 160751, 29060, 5666, 27, 117902, 1644, 88660, 119718, 29171, 9934, 17410, 97634, 119718, 2442, 26632, 64310, 7201, 142429, 77188, 4, 14856, 170479, 128364, 21292, 5666, 9934, 29259, 5666, 117902, 63849, 37640, 5666, 1470, 54260, 2932, 114436, 19532, 15231, 44478, 17645, 4, 119055, 29259, 17410, 75230, 1982, 42493, 27, 2451, 9213, 1982, 6681, 29659, 54260, 1470, 29259, 4944, 42493, 4, 49920, 117902, 127583, 3131, 7682, 38, 199145, 364, 54260, 16803, 137, 25491, 16629, 2702, 5666, 37640, 5666, 1470, 54260, 2932, 114436, 19532, 15231, 44478, 17645, 155, 32, 6, 80453, 7682, 64260, 37826, 185000, 1470, 81414, 2882, 3069, 2865, 130154, 5666, 10339, 143409, 2190, 5666, 37826, 40653, 8903, 8903, 1982, 5666, 34654, 224220, 104274, 4113, 5, 7369, 37826, 22753, 1982, 163139, 35189, 1470, 75230, 2702, 8903, 13982, 54260, 2882, 7265, 5666, 117902, 23269, 2865, 3069, 2865, 117902, 127583, 3131, 7682, 4, 6235, 98055, 2882, 32611, 107020, 7265, 6681, 119718, 33809, 83182, 18415, 1470, 75230, 2932, 5666, 5, 2451, 4892, 2882, 27, 1549, 2451, 3056, 199145, 119055, 29060, 9934, 29259, 5666, 32, 2451, 153, 68313, 6681, 112711, 1470, 6235, 64044, 27, 364, 29259, 13497, 125897, 112389, 2882, 27, 51963, 123736, 7916, 89930, 5666 ]

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

[ 17268, 5666, 117902, 63849, 4, 37640, 5666, 4151, 1285, 119718, 15533, 17645, 27, 35189, 163139, 13497, 37826, 4151, 226112, 2932, 5666, 133190, 120202, 8903, 85465, 146873, 67826, 75290, 64751, 4852, 5666, 5, 221067, 70598, 112711, 37826, 132025, 8903, 3131, 22426, 710, 56169, 1285, 1470, 75230, 53414, 4, 22639, 107020, 37826, 6235, 4852, 17310, 43178, 95455, 564, 137119, 5, 14004, 2865, 37826, 22753, 4944, 160238, 190135, 6, 4, 2648, 120467, 163825, 4, 163139, 3373, 39083, 2648, 26632, 5666, 202446, 5666, 22639, 1285, 506, 35596, 1285, 564, 116367, 5666, 19532, 137377, 8903, 212484, 5666, 137, 13342, 21776, 2865, 6, 64991, 155, 74, 163139, 220224, 6, 98055, 5666, 42493, 34076, 29259, 51172, 24295, 117902, 23269, 2865, 4, 137, 13159, 5666, 155, 28415, 42493, 7265, 1285, 1470, 75230, 2932, 5666, 1285, 123736, 7916, 89930, 5666, 4, 220224, 123073, 224220, 93047, 9221, 5666, 5, 1470, 15907, 37826, 22753, 1982, 182261, 180141, 6235, 119718, 39083, 2882, 163139, 2702, 2932, 4, 199145, 4151, 117902, 127583, 3131, 7682, 6, 80453, 7682, 64260, 119055, 29060, 120202, 35596, 59919, 5666, 5, 2190, 5666, 1285, 238419, 5666, 4, 199145, 9424, 119718, 13456, 2932, 1285, 29771, 7916, 89930, 5666, 37826, 22753, 4944, 6235, 8300, 75230, 2932, 5666, 1285, 67826, 63849, 29259, 2882, 4, 194885, 5666, 6681, 221067, 70598, 112711, 43178, 6235, 159696, 2932, 4, 163139, 1285, 9424, 29259, 2882, 4, 119055, 43178, 14856, 7508, 6093, 119718, 101503, 1470, 22518, 2808, 22426, 8903, 17410, 121658, 29259, 2702, 40653, 5666, 6319, 137377, 5, 141943, 28726, 1982, 37826, 7369, 4151, 506, 77188, 12, 2451, 9213, 1982, 6, 225975, 22753, 4944, 120202, 27, 4151, 6319, 64260, 104274, 9221, 37640, 5666, 4151, 9356, 174410, 54260, 3056, 6, 64260, 68561, 4231, 65482, 2865, 364, 75230, 30741, 564, 75230, 2865, 5, 2442, 6093, 41764, 45629, 204403, 93509, 48253, 7682, 37826, 6319, 75230, 2882, 1470, 75230, 2702, 8903, 13458, 177148, 5, 2451, 2939, 99403, 27, 6093, 2205, 6, 113889, 4944, 8903, 185337, 43178, 44917, 200117, 54745, 2865, 6, 59461, 159696, 1211, 145813, 112711, 188301, 5666, 6, 80453, 7682, 64260, 5666, 5, 2451, 6, 17645, 119718, 34079, 4944, 29771, 119718, 4, 119055, 119273, 9356, 119718, 29259, 4852, 5666, 54745, 2865, 49920, 117902, 127583, 3131, 7682, 4, 119055, 33809, 4151, 224220, 183512, 9221, 6235, 7916, 13497, 22753, 4944, 4, 292, 37826, 564, 68561, 75230, 1644, 5666, 6, 80453, 7682, 64260, 2190, 5666, 6235, 3111, 2865, 43178, 3069, 2865, 6, 88660, 30473, 90848, 4484, 9934, 29259, 5666, 364, 62067, 4, 6235, 35596, 59919, 2882, 32611, 5666, 41764, 45629, 204403, 93509, 178107, 13805, 4269, 60071, 5, 17268, 5666, 158628, 5666, 68889, 2865, 26632, 37826, 22753, 4944, 2190, 111137, 506, 75230, 1982, 5666, 37640, 5666, 6235, 4852, 13159, 7508, 6093, 223229, 8300, 238144, 4, 44458, 5950, 16932, 3373, 39083, 2648, 26632, 4, 7369, 37826, 19532, 137377, 8903, 3131, 64260, 5666, 1285, 43449, 64260, 4113, 37640, 5666, 7213, 151227, 2190, 5666, 3056, 1470, 159696, 4484, 3069, 2865, 6, 172060, 185226, 5, 2451, 620, 29771, 17748, 2882, 7508, 99766, 5666, 4, 21422, 199145, 6681, 44458, 132025, 3131, 7682, 161829, 32, 292, 37826, 73095, 48974, 54260, 4113, 119718, 74806, 12415, 43178, 3069, 221067, 70598, 112711, 43178, 4, 292, 199145, 37826 ]

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

[ 11265, 40653, 8903, 121865, 5666, 54745, 112595, 29259, 6093, 32, 4151, 224220, 93047, 9221, 3056, 22639, 60980, 2702, 5, 2451, 7265, 4151, 182990, 2442, 9356, 174410, 54260, 38, 29434, 29259, 41764, 2808, 226112, 23269, 5666, 38, 2451, 40653, 8903, 8903, 1982, 5666, 5, 25491, 221067, 70598, 112711, 43178, 151614, 1982, 5666, 6235, 10918, 16932, 2882, 1285, 6, 223390, 6093, 4, 7369, 37826, 1751, 75230, 5666, 6235, 119718, 39083, 2882, 163139, 46053, 4, 7265, 199145, 95455, 119055, 29060, 22753, 1982, 6, 188301, 5666, 12, 137, 159696, 2882, 874, 43178, 7213, 2702, 5666, 32611, 10069, 1470, 54260, 2932, 65482, 24846, 21327, 304, 26217, 16932, 28714, 5666, 37826, 40653, 8903, 8903, 1982, 5666, 4151, 9356, 174410, 54260, 292, 19532, 75230, 49268, 25046, 5666, 6, 5, 21776, 2865, 204403, 127583, 3131, 7682, 5, 6, 80453, 7682, 64260, 3069, 2865, 223779, 7201, 68558, 5, 26217, 16932, 2882, 112711, 37826, 22753, 4944, 2190, 111137, 506, 75230, 1982, 2932, 4, 132025, 61397, 16011, 5666, 1285, 6681, 4852, 13159, 65482, 6, 131445, 4, 20961, 75230, 2702, 8903, 105235, 20911, 54745, 2865, 6319, 137377, 5, 6, 5, 2451, 14856, 22444, 23741, 1470, 29259, 4944, 3069, 2865, 223779, 7201, 171433, 4, 119055, 2808, 36326, 195007, 2932, 29766, 142429, 17645, 27, 80453, 7682, 64260, 37826, 3069, 8903, 3111, 2865, 43178, 37640, 5666, 194885, 364, 35596, 95455, 223779, 7201, 29771, 120580, 29259, 17160, 4, 8903, 506, 54260, 2702, 5666, 19532, 75230, 2702, 5, 2451, 4269, 54260, 3069, 2865, 7369, 29659, 5666, 68889, 2865, 26632, 4, 119055, 101503, 7501, 9213, 4944, 119055, 13845, 1285, 1982, 22444, 67854, 4, 292, 506, 64260, 7369, 2819, 8903, 225975, 2882, 7265, 212911, 16932, 60118, 905, 5, 68313, 221067, 70598, 112711, 6235, 4852, 13159, 5666, 32611, 5666, 1157, 55823, 2882, 37640, 5666, 7369, 29659, 5666, 68889, 2865, 26632, 5, 119718, 33809, 7038, 51172, 2205, 6235, 159696, 5666, 4151, 6, 89991, 2865, 29259, 82576, 5, 3069, 220224, 151614, 1982, 5666, 22753, 1982, 4151, 226112, 2932, 2932, 120202, 8903, 85465, 146873, 64751, 4852, 5666, 37640, 23269, 2865, 74806, 80453, 4113, 4944, 9424, 119718, 13456, 5666, 54745, 2865, 224220, 183512, 9221, 2190, 5666, 6, 80453, 7682, 64260, 5666, 12, 2451, 9213, 1982, 6, 149364, 4852, 43178, 28726, 4944, 27, 1470, 75230, 1982, 9213, 4944, 178748, 95455, 22753, 4944, 4151, 1644, 75230, 1982, 5666, 27, 3523, 54260, 5666, 12, 12, 12, 14004, 1982, 113743, 115222, 2932, 2932, 4, 170479, 564, 68561, 75230, 1644, 5666, 4151, 224220, 93047, 9221, 37640, 5666, 6319, 29766, 22426, 24244, 5, 9213, 1982, 1054, 54260, 2050, 7511, 2882, 5, 235466, 95455, 32611, 1470, 29259, 6093, 6681, 62067, 119718, 99766, 28726, 4944, 4484, 29259, 2882, 5, 4269, 54260, 5666, 27, 9213, 4944, 9356, 29659, 54260, 68561, 874, 29259, 5666, 120202, 225975, 5, 6, 101328, 4, 3069, 2865, 158628, 5666, 874, 39083, 27, 20315, 2865, 117902, 127583, 3131, 7682, 41764, 12415, 88660, 125830, 141879, 119055, 6093, 16932, 194885, 5666, 6235, 159696, 5666, 99509, 6681, 8300, 238144, 21066, 119718, 5666, 148346, 2932, 5, 220224, 151614, 1982, 5666, 160751, 29060, 5666, 12, 137, 506, 64260, 174538, 2442, 4, 11265, 119055, 29060, 73095, 119718, 710, 42493, 8903, 119718, 71512, 5666, 4, 19532, 37826, 6681, 3131 ]

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

[ 109636, 2882, 20911, 2909, 5, 2451, 221067, 70598, 112711, 38, 26217, 16932, 28714, 5666, 37826, 22753, 4944, 32611, 25222, 4944, 6235, 212484, 5666, 3069, 2865, 1751, 34365, 2932, 90848, 1982, 5666, 5, 7369, 37826, 6235, 4852, 43178, 4, 119718, 710, 4151, 123736, 7916, 89930, 3056, 19532, 75230, 2702, 127461, 4, 163139, 7369, 3056, 6235, 119718, 29766, 2932, 6, 113889, 4944, 24012, 35189, 123329, 5, 26217, 16932, 28714, 5666, 37826, 22753, 1982, 98252, 6235, 39293, 56169, 32611, 5666, 3523, 9221, 6093, 7682, 5666, 41764, 76632, 218241, 4, 199145, 506, 64260, 1470, 15907, 1751, 75230, 5666, 9356, 119425, 1470, 4231, 29766, 6235, 2648, 41595, 6681, 1470, 165284, 1644, 4, 6235, 3111, 2865, 43178, 95455, 223779, 7201, 29771, 120580, 29259, 17160, 22639, 364, 62067, 5, 14004, 56169, 37826, 6235, 21733, 17310, 43178, 73095, 48974, 54260, 4113, 119718, 12, 2451, 6, 5, 29257, 49920, 16803, 7544, 4944, 4, 18133, 4, 221067, 70598, 112711, 32, 2451, 9213, 1982, 49920, 4, 6681, 119718, 120467, 170479, 9213, 1982, 42493, 49920, 5666, 32, 292, 7369, 37826, 22753, 4944, 6, 89930, 1644, 115536, 22639, 46711, 29259, 17160, 292, 199145, 4, 163139, 1644, 16803, 199145, 40653, 8903, 1982, 5666, 32, 4231, 2451, 9213, 1982, 119055, 13845, 9356, 50853, 17806, 24621, 2932, 32611, 4151, 9356, 174410, 54260, 4, 292, 37826, 73095, 48974, 54260, 4113, 119718, 8903, 225975, 2882, 7265, 1470, 564, 54260, 4852, 5666, 166464, 4, 292, 119055, 13845, 5666, 20033, 6, 88660, 30741, 132025, 1982, 29259, 2702, 2932, 32, 5, 5, 2451, 620, 120467, 38, 4015, 26217, 16932, 28714, 5666, 37826, 163139, 35189, 6235, 73381, 13497, 1285, 1470, 75230, 2932, 5666, 5, 7369, 37826, 22753, 1982, 4151, 87311, 13497, 4, 54595, 7369, 3056, 182261, 42493, 32611, 4151, 117902, 30473, 42180, 5, 5, 7369, 37826, 95455, 6681, 29659, 112711, 43178, 113889, 4944, 4151, 6, 163177, 119273, 15350, 55990, 173149, 10339, 33809, 5666, 1285, 6681, 3131, 119718, 31623, 18415, 4, 9424, 20616, 31623, 18415, 6319, 99766, 110970, 22426, 710, 44478, 5, 2451, 22639, 7508, 29259, 5666, 15864, 2865, 43178, 19532, 29259, 5666, 4, 18133, 97483, 3131, 16803, 6, 72841, 32, 9213, 1982, 151614, 1982, 1751, 75230, 5666, 9356, 119425, 64044, 3131, 22426, 710, 21295, 874, 29259, 23269, 97483, 47332, 75230, 7511, 2865, 27, 2451, 119055, 6093, 8947, 46440, 2882, 42493, 22639, 6319, 99766, 5666, 4, 6681, 3131, 22426, 710, 21295, 6319, 54260, 5666, 14856, 46464, 87311, 7511, 2865, 4, 159696, 2442, 8947, 4269, 54260, 2882, 42493, 3069, 23050, 4484, 54260, 159696, 2702, 4, 564, 34882, 177148, 42493, 6319, 54260, 5666, 6, 169817, 239162, 2702, 27, 10069, 3373, 39083, 2648, 26632, 40697, 41764, 65482, 46685, 194885, 5666, 6235, 159696, 1982, 6, 26394, 115453, 63532, 4, 133190, 1470, 54260, 59461, 506, 64260, 27702, 46685, 20911, 4, 163139, 221067, 70598, 112711, 43649, 98229, 21295, 4, 37826, 7369, 22753, 4944, 2190, 111137, 506, 75230, 1982, 5666, 4, 8903, 3111, 2865, 43178, 37640, 5666, 20632, 16932, 2865, 123844, 78104, 31249, 107189, 4944, 2190, 5666, 6235, 506, 39083, 67854, 107020, 81414, 20260, 12483, 4, 3069, 8903, 506, 158291, 5666, 54745, 2865, 182275, 7972, 21733, 5, 3111, 16932, 28714, 5666, 3056, 163139, 35189, 23050, 90536, 1982, 5666, 6, 186461, 5666, 5 ]

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

[ 7369, 37826, 6, 75230, 4944, 5950, 8300, 6235, 119718, 39083, 2882, 239162, 2865, 43178, 6681, 5666, 6, 37016, 160238, 63593, 4, 6, 26394, 119718, 7682, 147713, 54745, 2882, 121193, 75230, 1644, 37640, 5666, 34654, 141879, 6235, 36326, 161829, 5666, 32611, 4151, 117902, 30473, 42180, 5, 268, 113889, 4944, 54745, 2865, 4, 163139, 1285, 9356, 174410, 54260, 2205, 6681, 3131, 119718, 18640, 5666, 6235, 119718, 29766, 5666, 4, 2205, 7369, 19532, 75230, 161321, 5666, 1751, 34365, 2932, 90848, 1982, 5666, 5, 7369, 37826, 221387, 39384, 3373, 84316, 22426, 39340, 37826, 6235, 225975, 2882, 12, 2451, 9213, 1982, 151614, 1982, 1751, 75230, 5666, 1157, 20260, 6235, 119718, 33809, 16803, 4, 7508, 6093, 6428, 29259, 48253, 6, 101328, 10813, 2882, 42493, 5, 215594, 4, 5960, 4484, 54260, 5666, 1470, 54260, 5666, 1751, 120467, 42493, 6235, 35596, 59919, 2882, 5, 2451, 6428, 29259, 5666, 23050, 119718, 33809, 4113, 2205, 37640, 5666, 1470, 6, 88660, 21295, 33104, 4, 292, 37826, 107020, 120202, 8903, 35596, 59919, 2882, 144754, 1470, 6, 195054, 91595, 6093, 1470, 3373, 39083, 2648, 26632, 4, 2808, 119055, 29259, 2702, 60071, 5, 2451, 2205, 6681, 119718, 120467, 185040, 1751, 34533, 7369, 42493, 32, 2451, 4151, 91163, 4, 199145, 7369, 37826, 42493, 6150, 75230, 23269, 46601, 52480, 158652, 29259, 2882, 5666, 163139, 18133, 5, 2451, 9934, 29259, 2882, 51963, 22444, 98071, 4484, 4, 7369, 119055, 29060, 6, 29060, 59919, 5666, 1470, 54260, 5666, 2865, 39083, 2190, 5666, 72577, 5, 2451, 42493, 29771, 22753, 4944, 199145, 3069, 78891, 149364, 5666, 4, 2451, 506, 64260, 6235, 225975, 2882, 44458, 5950, 16932, 657, 29060, 4, 2451, 62808, 5666, 895, 16932, 6, 159696, 48974, 4, 119055, 13845, 5666, 20033, 55242, 5666, 4, 7265, 199145, 1470, 45521, 38054, 73256, 29771, 4944, 29060, 27, 2451, 42493, 29771, 22753, 4944, 199145, 3069, 46050, 2932, 2932, 4, 292, 37826, 6235, 22426, 3131, 29766, 29060, 7038, 25491, 5, 2451, 1285, 129165, 2865, 20315, 4, 55242, 9213, 1982, 4, 6, 105515, 6, 238144, 4, 220224, 9356, 22426, 5666, 22753, 4944, 6681, 1285, 9934, 29259, 2882, 5666, 4, 159696, 2932, 20033, 33960, 1982, 5666, 22639, 6319, 39083, 59461, 54745, 2865, 7508, 29259, 2882, 183202, 32, 6093, 4, 221067, 70598, 112711, 4, 37826, 151614, 4944, 6, 113889, 4944, 37640, 5666, 132025, 506, 54260, 1982, 107189, 4944, 29771, 24621, 6235, 506, 158291, 16667, 84316, 22426, 4484, 43178, 6681, 44458, 130170, 28726, 75290, 5, 6, 225975, 2882, 7369, 12, 2451, 220224, 6681, 13982, 34533, 133190, 4, 199145, 18133, 564, 34533, 34072, 16747, 4, 199145, 22444, 564, 26632, 48775, 1982, 16803, 7511, 2882, 199145, 18133, 105884, 16803, 5, 3742, 2451, 9213, 4944, 113743, 34072, 16747, 4, 9213, 4944, 32, 131002, 710, 22426, 39340, 37826, 6681, 119718, 29766, 150020, 9934, 29259, 5666, 6319, 137377, 3069, 2865, 112389, 46545, 5666, 11211, 17017, 4, 6235, 8300, 54260, 21295, 10069, 6, 105235, 164863, 5, 2451, 9424, 54260, 1644, 4, 9424, 54260, 1644, 4, 6428, 29259, 5666, 73256, 51172, 87311, 159696, 2702, 3056, 6428, 99766, 5666, 4, 7265, 16175, 75230, 4852, 194734, 45629, 75230, 2932, 5666, 17806, 20911, 7369, 32611, 124724, 27, 17268, 5666, 198754, 2702, 2190, 5666, 130154, 2702, 151614, 1982, 2932, 42493, 2190, 111137 ]

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

[ 506, 77188, 121193, 14081, 5666, 68889, 2865, 26632, 5666, 5, 4852, 54260, 151614, 1982, 2932, 6235, 121865, 5666, 1285, 112389, 46545, 4113, 1751, 119718, 2808, 29025, 4484, 29259, 2882, 4, 94944, 86212, 98071, 20911, 1285, 163139, 194734, 38054, 125897, 3373, 29771, 7201, 112389, 2882, 5, 5666, 29766, 9356, 107020, 4, 9356, 221067, 70598, 112711, 43178, 4, 32611, 4151, 9356, 174410, 54260, 151614, 1982, 5666, 3373, 39083, 2648, 26632, 5666, 119718, 710, 35189, 74806, 22426, 69336, 29060, 1285, 364, 37016, 28726, 4944, 37640, 2932, 1285, 7213, 151227, 5666, 2190, 5666, 43649, 29259, 59919, 6681, 8300, 75230, 2932, 107829, 564, 75230, 39248, 52480, 172398, 5, 123736, 6, 5, 1211, 24621, 37826, 7265, 6, 75290, 120467, 24295, 6, 61397, 54260, 29171, 2882, 1285, 45223, 2648, 168155, 37640, 5666, 1285, 68889, 2865, 26632, 5666, 4, 10705, 5666, 6, 113889, 4944, 54745, 2865, 3056, 874, 43178, 6235, 90536, 18406, 22753, 8300, 2932, 163139, 6681, 29659, 54260, 59461, 18415, 32611, 1285, 212911, 710, 18415, 1157, 55823, 2882, 5666, 5, 35189, 186046, 905, 48253, 7682, 6, 80453, 7682, 64260, 3056, 101251, 8903, 185337, 43178, 364, 24295, 2190, 5666, 98252, 6681, 1982, 29259, 10069, 115825, 159696, 38054, 125897, 68889, 2865, 26632, 2932, 4, 22639, 32054, 29771, 13497, 37640, 5666, 4151, 9356, 174410, 54260, 5, 7369, 37826, 203387, 119055, 29259, 28726, 2819, 13342, 195054, 54260, 98833, 1285, 198754, 4113, 364, 62067, 3069, 2865, 6, 105235, 164863, 2190, 5666, 6, 61397, 75230, 104238, 97634, 2932, 1470, 114564, 4, 132025, 10918, 16747, 213952, 1470, 54260, 2932, 41764, 2808, 22426, 9221, 120467, 132025, 54745, 2865, 87680, 5, 113889, 4944, 9934, 29259, 5666, 1751, 159696, 48974, 1751, 80453, 29259, 4852, 5666, 4, 6, 113889, 4944, 9934, 29259, 5666, 6681, 119718, 29766, 7201, 114436, 5960, 159190, 46601, 2808, 38596, 114436, 6, 174763, 142196, 151614, 4944, 2932, 1285, 3373, 39083, 2648, 26632, 5666, 6235, 46590, 2882, 4, 6150, 7265, 107020, 3056, 4113, 22426, 13159, 74806, 43178, 5, 133190, 6319, 54260, 59461, 6, 105780, 4151, 1285, 59461, 3131, 145702, 37826, 42493, 6235, 119718, 33809, 16803, 163139, 8903, 506, 6093, 7682, 4, 199145, 7265, 107020, 3056, 5, 7369, 4, 221067, 70598, 112711, 4, 37826, 95298, 6319, 54260, 23269, 2865, 4151, 238144, 165607, 42493, 1470, 75230, 2702, 8903, 225975, 2882, 4, 7369, 37826, 6235, 119718, 101503, 32611, 73095, 48974, 54260, 4113, 119718, 5666, 5, 10069, 112389, 2882, 364, 40096, 22753, 4944, 1470, 75230, 2702, 8903, 97634, 2932, 5, 163139, 1470, 70695, 20260, 6093, 6, 113889, 4944, 1470, 46050, 30473, 2702, 37826, 171433, 8903, 506, 75230, 1982, 5666, 5332, 55823, 8903, 5666, 194885, 1470, 75230, 5666, 5666, 7508, 6093, 43449, 54260, 4944, 192956, 2442, 874, 15533, 25207, 4944, 5, 2808, 24295, 44917, 201542, 98833, 5666, 119055, 14081, 2648, 3056, 4151, 17824, 13159, 16932, 16175, 54260, 1644, 564, 54260, 46685, 6235, 29659, 112711, 43178, 22492, 39340, 2882, 4, 132025, 54745, 2865, 6, 103023, 2932, 9915, 54260, 5, 22639, 2442, 6093, 12666, 23741, 2932, 37826, 22753, 4944, 6235, 46590, 2882, 1470, 6, 150271, 29259, 4113, 18415, 101251, 25491, 29659, 52480, 158652, 29259, 2882, 5, 1470, 1751, 159696, 25207, 67826, 2865, 23174, 3056, 6235, 159696, 5666, 9356, 6, 204932, 14081, 26632, 2932, 1470, 18640 ]

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

[ 1285, 1751, 31623, 23847, 88680, 5, 42493, 1470, 75230, 2702, 8903, 31249, 29771, 7201, 65482, 5, 4838, 23405, 79238, 23822, 141847, 18415, 5, 64044, 112593, 710, 146873, 4, 564, 135118, 188301, 4113, 4, 128364, 40096, 65482, 7265, 41764, 20961, 54595, 15907, 5666, 4, 6, 26394, 58679, 8300, 18415, 4, 26394, 101328, 186145, 18415, 4, 194885, 5666, 1285, 3373, 39083, 26632, 5666, 182261, 6235, 159696, 5666, 163139, 14856, 159696, 2702, 32611, 5666, 58826, 2865, 4, 119718, 59929, 6, 170355, 2932, 2932, 123736, 2932, 1470, 1751, 29631, 63593, 5, 8947, 151614, 1982, 5666, 22753, 4944, 74806, 64260, 5666, 19302, 39083, 13159, 4, 22753, 2648, 44478, 29259, 12483, 17268, 2932, 4231, 17310, 4113, 4, 5950, 18415, 364, 26612, 1982, 2932, 74806, 1644, 17310, 43178, 22753, 7201, 8300, 5666, 5, 101608, 2932, 54260, 4113, 119718, 3056, 6235, 17494, 2865, 43178, 37640, 5666, 6, 172060, 185226, 5, 163139, 7369, 37826, 133190, 19532, 88680, 8903, 2357, 3131, 80453, 29259, 4852, 2882, 40653, 5666, 1751, 159696, 1644, 4, 37826, 107020, 1751, 75230, 5666, 221067, 70598, 112711, 4151, 143409, 2882, 1285, 506, 62067, 2190, 5666, 1470, 43649, 29259, 150020, 29434, 7682, 6235, 97634, 5666, 5, 2451, 564, 34533, 874, 98071, 2442, 1470, 3069, 32054, 54260, 192956, 2442, 4, 292, 37826, 6235, 119718, 710, 29659, 34654, 119055, 29771, 57619, 5666, 73095, 48974, 54260, 4113, 119718, 4, 292, 199145, 3056, 7265, 124724, 4151, 28415, 32, 2451, 107020, 37826, 22753, 4944, 6235, 119718, 21292, 6235, 4944, 39083, 63593, 2882, 6, 87311, 95564, 159696, 2442, 46601, 63593, 85465, 29025, 125897, 3131, 159696, 82576, 4, 2451, 506, 64260, 7038, 107581, 6235, 225975, 2882, 7265, 6319, 71512, 2190, 5666, 7265, 1470, 117641, 3131, 5666, 10498, 54260, 10813, 5, 2451, 163139, 20033, 163139, 21295, 22753, 4944, 95455, 182261, 9934, 29259, 5666, 22639, 6, 87311, 95564, 159696, 38, 292, 37826, 22753, 4944, 26217, 16932, 28714, 5666, 132025, 8903, 51172, 22426, 2882, 6681, 7038, 4944, 13159, 6, 61397, 167622, 4, 292, 6, 64260, 119055, 33809, 8947, 119055, 29060, 9934, 29259, 5666, 22680, 54260, 28726, 4944, 38, 101608, 2932, 54260, 4113, 119718, 37826, 32611, 107020, 6235, 98055, 2882, 46601, 75230, 8903, 4852, 5, 7038, 107581, 37826, 6, 4, 8903, 119718, 710, 29659, 144754, 5666, 19532, 17160, 1285, 6, 113889, 4852, 5, 710, 2451, 20632, 3111, 4, 199145, 32, 199145, 119055, 29060, 9934, 29259, 5666, 22639, 6, 87311, 95564, 159696, 32, 19024, 93509, 5666, 5, 29771, 75578, 221067, 70598, 112711, 3056, 1751, 75230, 5666, 6235, 28726, 4113, 1470, 75230, 2702, 2932, 21660, 75230, 2932, 5666, 9356, 22753, 4944, 32611, 5666, 21066, 37016, 6093, 2442, 7682, 5666, 10213, 21338, 4, 6235, 119718, 23173, 2882, 78278, 73095, 48974, 54260, 4113, 119718, 119055, 29060, 3069, 1470, 15907, 132025, 506, 54260, 18406, 2442, 54260, 35465, 5, 2190, 5666, 7369, 29659, 6, 113889, 4944, 54745, 2865, 163139, 1644, 7369, 22753, 4944, 16175, 54260, 1644, 5666, 7265, 54745, 2865, 4, 199145, 6, 150839, 64260, 130170, 20616, 77188, 5950, 54260, 5666, 2190, 5666, 199145, 4151, 163139, 13497, 37826, 3069, 107020, 7508, 6093, 226112, 2932, 5, 37640, 5666, 10676, 74806, 80453, 4113, 4944, 9424, 119718, 13456, 5666, 54745, 2865, 224220, 104274, 9221, 2190, 2932, 6, 80453, 7682, 64260, 5666 ]

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

[ 5, 101608, 2932, 54260, 4113, 119718, 3056, 95298, 6235, 159696, 5666, 6681, 3111, 2865, 43178, 7265, 137, 2808, 6, 98055, 16175, 171433, 87481, 4113, 27105, 2909, 2451, 20033, 6, 212484, 2882, 42493, 3069, 15529, 364, 29259, 13497, 1470, 64890, 57619, 5666, 6681, 97634, 2932, 4, 292, 37826, 7369, 6235, 225975, 2882, 4, 292, 119055, 43178, 119055, 29060, 1751, 75230, 2932, 160238, 2882, 23050, 2865, 43178, 1470, 3373, 29771, 7201, 3069, 2865, 6, 88660, 70598, 65482, 5666, 34654, 2865, 98071, 89112, 29259, 2882, 5666, 38, 26217, 16932, 28714, 5666, 37826, 74806, 119718, 18640, 5666, 4, 133190, 21422, 7038, 4944, 43178, 37826, 22753, 4944, 40653, 8903, 8903, 1982, 23405, 905, 16932, 2865, 123844, 6, 61397, 167622, 4, 21422, 7369, 5950, 54260, 5666, 37826, 6235, 210674, 119055, 43178, 5666, 1285, 120202, 8903, 121865, 65482, 22680, 54595, 5666, 37640, 5666, 54745, 2882, 74806, 80453, 4113, 1982, 9424, 119718, 13456, 5666, 6, 80453, 7682, 64260, 5666, 2190, 2932, 21776, 2865, 224220, 93047, 9221, 4, 6, 150839, 64260, 22753, 4944, 6235, 159696, 16747, 2882, 3069, 73095, 48974, 54260, 4113, 119718, 5666, 12, 2451, 6, 225975, 4, 22444, 151614, 16803, 42493, 221387, 4, 199145, 49920, 224220, 93047, 9221, 37826, 6235, 136108, 77188, 7265, 6, 80453, 7682, 64260, 5666, 32, 101608, 2932, 54260, 4113, 119718, 37826, 120202, 8903, 75290, 2882, 9934, 29259, 5666, 117902, 23269, 2865, 37640, 23269, 2865, 7508, 75230, 130929, 2865, 22426, 1644, 5, 2451, 4231, 37640, 3111, 112711, 43178, 6, 238144, 126934, 37640, 5666, 54745, 2865, 74806, 80453, 4113, 4944, 32, 292, 73095, 48974, 54260, 4113, 119718, 37826, 6235, 98055, 2882, 1470, 54260, 5666, 874, 39083, 32611, 221067, 70598, 112711, 43178, 4, 1470, 54260, 5666, 874, 39083, 32611, 7038, 4944, 43178, 4, 292, 119055, 6093, 37826, 2648, 120467, 81444, 40653, 8903, 8903, 1982, 2932, 32, 2451, 6, 4, 6, 238144, 165607, 4151, 41764, 45629, 22426, 29766, 37640, 5666, 4151, 22639, 27720, 194734, 144295, 3056, 81444, 6235, 159696, 5666, 40026, 49597, 6093, 163139, 9356, 1470, 29259, 4944, 4, 32611, 5666, 6, 172060, 185226, 292, 37826, 6235, 225975, 2882, 221067, 70598, 112711, 5, 2588, 46985, 17410, 33809, 2442, 37826, 74806, 119718, 18640, 5666, 5, 7369, 3056, 204982, 6235, 159696, 5666, 32611, 4151, 9356, 174410, 54260, 4, 7369, 68313, 101251, 8903, 7201, 29766, 5666, 6, 113889, 4944, 151614, 75578, 32611, 4151, 48706, 112711, 42180, 5, 2808, 24295, 1751, 34365, 2932, 90848, 1982, 2932, 3056, 32611, 1470, 119055, 29259, 28726, 67826, 1644, 6235, 119718, 29766, 5666, 5, 73095, 48974, 54260, 4113, 119718, 37826, 64044, 3131, 22426, 69336, 29060, 9934, 29259, 5666, 17288, 27105, 4, 34654, 33960, 2865, 22492, 73215, 29766, 39340, 4, 54745, 2865, 874, 88917, 9221, 4, 120202, 8903, 3131, 22426, 69336, 29060, 54745, 2882, 34654, 2865, 43178, 37640, 5666, 564, 75230, 4944, 5, 11556, 107581, 37826, 160751, 90848, 30741, 6, 166198, 28726, 1982, 130170, 13342, 506, 54260, 8300, 5666, 54745, 2865, 6, 48253, 77525, 106559, 3131, 7682, 5, 26217, 16932, 28714, 5666, 2190, 2932, 212911, 2808, 33809, 2442, 151614, 1982, 5666, 6235, 68566, 163177, 29060, 1470, 16175, 55049, 65482, 2865, 45495, 130745, 5, 101608, 2932, 54260, 4113, 119718, 37826, 22753, 1982, 3069, 8903, 39293, 56169, 32611, 5666, 6, 37016 ]

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

[ 10213, 21338, 9356, 221067, 70598, 123844, 3069, 64991, 5666, 4, 1470, 70695, 8300, 6235, 97634, 5666, 1285, 117902, 15231, 7972, 26394, 4, 1470, 119055, 29766, 7201, 6235, 97634, 2932, 1470, 6, 181615, 3069, 874, 64071, 5666, 2190, 5666, 6235, 225975, 2882, 12, 2451, 182261, 6093, 3056, 44458, 132025, 506, 54260, 1982, 37640, 5666, 132025, 506, 54260, 1982, 5, 8947, 4269, 54260, 2882, 3069, 54745, 2865, 27, 2451, 119055, 29771, 119718, 120467, 32, 6, 225975, 4, 657, 29771, 62808, 49920, 5666, 32, 26217, 16932, 28714, 5666, 37826, 1751, 75230, 5666, 42493, 6235, 88660, 13497, 6428, 69127, 5666, 4, 107020, 37826, 22753, 4944, 6235, 119718, 39083, 23093, 6093, 5666, 3496, 64260, 3131, 73095, 48974, 54260, 4113, 119718, 2932, 4, 163139, 25491, 119425, 3373, 26, 68313, 42493, 29771, 6, 80885, 22426, 62067, 183202, 74, 7369, 37826, 30473, 1982, 6150, 75230, 1751, 159696, 2442, 2190, 111137, 39293, 56169, 4, 6150, 95455, 10213, 21338, 37826, 1470, 6, 99176, 95564, 6235, 97634, 5666, 5, 2451, 1285, 29434, 29259, 10705, 54561, 16011, 21660, 7682, 80885, 1285, 119718, 15533, 17645, 4, 1285, 15857, 109600, 6093, 7213, 101608, 163139, 1644, 5666, 42493, 171433, 23847, 29259, 150020, 2190, 5666, 220224, 9934, 29259, 8903, 5666, 364, 29259, 13497, 6681, 97634, 2932, 42493, 6235, 185337, 43178, 22639, 132025, 68566, 7201, 5, 14004, 4944, 151614, 1982, 6428, 29259, 2882, 28726, 4944, 2190, 5666, 19302, 29766, 221387, 4, 163139, 4151, 41764, 45629, 22426, 29766, 4231, 37826, 6235, 225975, 2882, 13342, 2865, 224220, 104274, 9221, 12, 2451, 220224, 163139, 1644, 5666, 42493, 4269, 54260, 5666, 4, 49920, 117902, 1644, 88660, 119718, 29171, 5, 14856, 37826, 1751, 75230, 5666, 5332, 80453, 33809, 119718, 2882, 7265, 564, 54260, 4852, 5666, 2190, 5666, 7265, 72577, 5666, 4, 8947, 45223, 23741, 42493, 5, 2451, 20033, 192183, 43178, 95298, 42493, 120202, 159696, 16747, 5666, 169550, 4113, 9356, 174410, 54260, 13159, 37640, 2932, 1285, 171433, 8903, 46685, 146873, 6, 89991, 5666, 4, 37640, 23269, 2865, 3373, 75230, 23269, 4, 1285, 874, 29766, 203387, 9934, 29259, 2882, 4151, 17268, 5666, 27, 2451, 49920, 117902, 1644, 88660, 119718, 29171, 38, 292, 37826, 6235, 22426, 17410, 22426, 21295, 4151, 41764, 45629, 22426, 29766, 4, 292, 220224, 4852, 29259, 23269, 5666, 1751, 75230, 5666, 3373, 29259, 119718, 710, 42493, 28415, 6319, 54260, 5666, 3373, 39083, 2648, 26632, 5666, 5, 137, 62808, 5666, 42493, 4269, 54260, 5666, 292, 6, 225975, 54561, 54260, 4, 292, 219047, 3056, 6235, 710, 23964, 4, 170479, 5666, 87680, 2909, 2451, 137, 14004, 1982, 119055, 13845, 22753, 4944, 190800, 2442, 54260, 2648, 5666, 7265, 5666, 895, 16932, 5666, 123736, 7916, 89930, 32611, 4151, 9356, 174410, 54260, 2004, 292, 37826, 6235, 225975, 2882, 4151, 224220, 93047, 9221, 2190, 5666, 37826, 20033, 6235, 506, 54260, 2702, 22492, 2442, 75230, 2702, 5666, 54260, 5666, 37640, 5666, 132611, 76526, 5, 2190, 5666, 11265, 37826, 81444, 221387, 4, 199145, 6, 80453, 7682, 64260, 37826, 137377, 8903, 35596, 59919, 2882, 32, 25491, 73095, 48974, 54260, 4113, 119718, 5666, 194885, 5666, 1285, 6, 162785, 1644, 43178, 17288, 104238, 6235, 119718, 29766, 5666, 4, 7369, 37826, 6235, 119718, 101503, 7265, 1470, 10498, 54260, 10813, 32611, 1285, 3944, 22426, 5666, 12, 2451, 20632 ]

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

[ 4, 48277, 20911, 22753, 4944, 1751, 75230, 5666, 6, 159696, 164863, 15907, 68313, 4, 292, 37826, 7369, 6235, 22426, 41595, 21295, 3069, 11556, 4944, 43178, 2190, 5666, 3069, 221067, 70598, 112711, 43178, 5, 292, 4046, 2451, 20033, 564, 54260, 20315, 151614, 1982, 5666, 6, 29060, 119718, 120467, 221387, 4, 292, 37826, 6235, 4852, 29771, 13497, 7508, 6093, 184639, 7038, 107581, 5, 2451, 95298, 42493, 1470, 23174, 2808, 57619, 5666, 4, 292, 37826, 3069, 8903, 8903, 1982, 5666, 20632, 16932, 28714, 5666, 5, 2451, 199145, 37826, 6235, 35596, 59919, 2882, 6, 80453, 7682, 64260, 32, 2451, 7369, 37826, 42493, 1470, 29259, 23405, 79238, 15231, 63532, 4, 292, 221067, 70598, 112711, 3056, 23050, 159696, 5666, 32054, 54260, 28726, 4944, 4, 119718, 710, 7369, 119055, 39083, 2882, 9356, 17494, 2865, 43178, 1470, 4269, 60071, 4, 47833, 6, 80885, 22426, 62067, 183202, 17190, 47332, 5, 292, 7369, 37826, 8903, 225975, 2882, 4, 47833, 95455, 3056, 22639, 4151, 6319, 64260, 109636, 18415, 57619, 37640, 5666, 54745, 2865, 6319, 29766, 22426, 24244, 88660, 2865, 104274, 9221, 5, 2451, 3056, 7369, 1470, 3496, 119718, 26632, 38, 292, 73095, 48974, 54260, 4113, 119718, 37826, 22753, 1982, 40653, 61397, 905, 20911, 37640, 57619, 905, 64991, 66293, 23050, 216510, 3069, 72577, 6093, 28714, 66293, 6319, 137377, 4, 292, 6681, 54745, 2865, 3056, 6, 80453, 7682, 64260, 66616, 34557, 119055, 77188, 5, 2451, 199145, 4, 874, 54260, 16667, 34079, 4, 6, 105235, 21295, 7369, 7265, 22753, 4944, 160238, 32, 292, 37826, 6235, 119718, 39083, 2882, 119718, 21292, 5666, 4231, 212911, 2808, 33809, 2442, 5, 2451, 9213, 1982, 874, 54260, 5666, 4, 292, 7038, 107581, 37826, 22753, 4944, 6681, 506, 125942, 4, 6, 238144, 165607, 221067, 70598, 112711, 37826, 68561, 107020, 6235, 23269, 1982, 5666, 1470, 146258, 150541, 5666, 6, 98055, 4, 292, 9213, 4944, 874, 54260, 5666, 4, 292, 37826, 7369, 6235, 225975, 2882, 144754, 1470, 122133, 1982, 5666, 166464, 4, 292, 6150, 7369, 3056, 44458, 2181, 20315, 4, 6150, 75230, 874, 54260, 5666, 9213, 4944, 5, 2451, 2190, 5666, 9213, 1982, 874, 54260, 5666, 4, 47833, 7369, 3056, 27, 44458, 8947, 6093, 5, 292, 221067, 70598, 112711, 6, 4, 37826, 20961, 905, 111137, 55049, 2882, 32611, 159190, 9934, 29259, 2932, 46601, 2808, 38596, 65482, 4, 6, 174763, 142196, 4, 7369, 37826, 95455, 6235, 97634, 2932, 6, 63188, 5666, 874, 39083, 4, 6, 159696, 2932, 7369, 37826, 6235, 119718, 39083, 2882, 37922, 21660, 5666, 1470, 75230, 2702, 17410, 30741, 292, 6235, 119718, 21292, 72649, 88917, 77188, 22426, 90848, 8300, 35596, 123329, 27, 2451, 1285, 9424, 29259, 2882, 119055, 29060, 119055, 29259, 4852, 5666, 4, 199145, 4151, 123736, 7916, 89930, 3056, 5, 101608, 2932, 54260, 4113, 119718, 37826, 6, 159696, 2932, 5666, 54745, 2865, 28415, 42493, 6235, 119718, 39083, 2882, 7508, 54260, 2648, 5666, 5, 107020, 37826, 8903, 1982, 90848, 30741, 4151, 6319, 137377, 12, 199145, 170479, 5666, 220224, 81444, 182261, 6093, 166464, 4, 1470, 75230, 1982, 14856, 119055, 29060, 25491, 61541, 5666, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 40653, 4151, 19532, 75230, 2702, 8903, 91163, 16932, 22639, 27720, 194734, 144295, 32, 37271, 30473, 1982, 120202, 4852, 171433, 5666, 7213, 2702, 5666 ]

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

[ 32, 48494, 2442, 7201, 874, 43178, 22753, 4944, 81444, 4944, 9934, 2190, 22680, 54260, 2648, 5666, 4, 8947, 3056, 48494, 200117, 6681, 112711, 204982, 6, 238144, 29171, 3373, 39083, 2442, 26632, 5666, 4, 199145, 119055, 13845, 5666, 874, 75230, 25207, 151614, 1982, 5666, 3069, 13342, 29659, 54260, 5666, 2909, 5, 144754, 1470, 9424, 37016, 5666, 54260, 2882, 29659, 4, 42493, 1470, 75230, 2702, 8903, 31249, 29771, 150020, 5, 117902, 23269, 2865, 3056, 7369, 6235, 4852, 13159, 5666, 150271, 90848, 2932, 5666, 22639, 194885, 6, 61397, 167622, 43178, 5, 2451, 16175, 29259, 123073, 4231, 26632, 5666, 22639, 4151, 6, 136108, 29259, 10705, 5666, 75230, 1982, 21660, 7682, 82576, 1285, 119718, 15533, 17645, 4, 292, 506, 64260, 6235, 225975, 2882, 221067, 70598, 112711, 5, 7369, 37826, 4151, 46590, 2882, 4, 6150, 73095, 48974, 54260, 4113, 119718, 3056, 5332, 22426, 13159, 10705, 86212, 98071, 4484, 2451, 2190, 5666, 22639, 15857, 109600, 6093, 7213, 101608, 204403, 63849, 194885, 5666, 6, 113889, 4944, 216333, 4113, 4, 292, 37826, 101608, 2932, 54260, 4113, 119718, 6235, 225975, 2882, 4, 163139, 6, 72841, 25491, 22426, 213952, 22753, 1982, 5, 2451, 3523, 54260, 5666, 4, 6, 225975, 1211, 13515, 42493, 4, 9213, 4944, 6319, 43178, 44458, 6, 29766, 12415, 22492, 2442, 21660, 4, 9213, 1982, 151614, 1982, 7508, 9221, 3768, 10705, 5666, 6, 80885, 22426, 62067, 183202, 5666, 78891, 39083, 4151, 8300, 54260, 21295, 6, 159696, 2932, 5666, 107020, 4, 9934, 29259, 5666, 32899, 123559, 4113, 3056, 2702, 28726, 22426, 88660, 119718, 4, 6, 64260, 3056, 1470, 564, 119718, 26632, 5, 2451, 119055, 6093, 3056, 7369, 4, 1470, 3373, 29771, 10918, 49597, 14081, 20315, 87311, 58679, 2882, 32, 292, 37826, 22753, 4944, 7038, 107581, 19532, 29259, 5666, 8903, 9719, 29659, 58826, 24295, 74806, 80453, 4113, 4944, 5, 6, 5, 2451, 1470, 119718, 2808, 20315, 1470, 3373, 29771, 10918, 49597, 14081, 20315, 87311, 58679, 2882, 4, 292, 37826, 7265, 11265, 171433, 17645, 120202, 61397, 35596, 59919, 2882, 221067, 70598, 112711, 5, 292, 95298, 42493, 37640, 5666, 1285, 137, 25491, 16629, 34709, 6093, 2004, 7369, 37826, 1751, 75230, 5666, 143409, 6235, 225975, 2882, 12, 137, 10069, 4269, 39083, 2648, 65482, 5332, 204403, 1644, 29060, 5666, 4, 14856, 6, 141353, 7201, 7265, 220224, 15864, 30741, 66616, 29771, 7201, 38, 5, 5, 155, 6, 8580, 2451, 1470, 3496, 29771, 4944, 63593, 6235, 17268, 23269, 5666, 4, 292, 7038, 107581, 37826, 7265, 5666, 64890, 57619, 5666, 6319, 75230, 4113, 4944, 1470, 9934, 21660, 8903, 97634, 5666, 7265, 5666, 1751, 159696, 38054, 123736, 2932, 54745, 2865, 1751, 46545, 6, 109636, 4944, 7682, 5666, 119055, 29766, 34709, 4, 657, 119718, 120467, 7369, 37826, 171433, 8903, 23847, 54260, 2882, 32611, 130170, 506, 54260, 8300, 5666, 292, 6681, 6150, 75230, 23269, 364, 31623, 39340, 22426, 3056, 44458, 6, 99766, 2808, 24295, 874, 79907, 2932, 29771, 98071, 7758, 75230, 4852, 5, 2451, 199145, 4, 8947, 9721, 35596, 9356, 124724, 42493, 32, 292, 37826, 73095, 48974, 54260, 4113, 119718, 6235, 225975, 2882, 7265, 2808, 10498, 54260, 10813, 5, 7369, 37826, 3069, 8903, 3111, 2865, 43178, 9356, 874, 33809, 4944, 43178, 21776, 2882, 41764, 76632, 218241, 4, 22753, 4944, 6235, 3111, 24621, 22492 ]

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

[ 106559, 150839, 54260, 8300, 5666, 54745, 2865, 137, 2702, 64567, 62067, 16629, 21733, 2004, 163139, 212911, 2808, 33809, 2442, 37826, 132025, 61397, 25046, 5666, 54745, 63532, 40714, 506, 33104, 65482, 2865, 1470, 75230, 119718, 5666, 5, 2451, 1285, 128364, 31623, 44478, 151614, 1982, 5666, 28415, 6319, 54260, 5666, 75601, 1644, 42493, 37271, 292, 37826, 221067, 70598, 182759, 9221, 171433, 15533, 54196, 5, 2451, 95455, 119055, 13845, 5666, 20033, 1751, 109636, 16932, 55242, 5666, 4, 292, 37826, 1751, 75230, 5666, 7265, 564, 54260, 4852, 4484, 29259, 2882, 120202, 8903, 35596, 59919, 2882, 7038, 107581, 5, 2451, 133190, 5, 42493, 46050, 2932, 5666, 22753, 4944, 4, 20033, 5666, 9424, 29060, 54260, 1644, 5666, 1285, 6, 63188, 905, 36326, 4, 292, 37826, 60980, 710, 17410, 33809, 2442, 185000, 1470, 41764, 3131, 29766, 4113, 5, 2451, 6, 61397, 91595, 3056, 212911, 63864, 4, 292, 37826, 6235, 225975, 2882, 73095, 48974, 54260, 4113, 119718, 5, 7369, 3056, 6235, 4852, 13159, 5666, 32611, 1285, 136645, 4, 37826, 160751, 212484, 5666, 22639, 4151, 10184, 24152, 62067, 123329, 657, 29771, 4944, 37640, 5666, 6, 48253, 77525, 106559, 3131, 7682, 2190, 5666, 37826, 4269, 23173, 219947, 2190, 111137, 1982, 170098, 5666, 4, 292, 364, 29259, 98833, 3056, 1470, 163139, 13497, 4, 292, 506, 64260, 7369, 22753, 4944, 152, 6681, 35596, 59919, 2882, 4, 292, 8947, 6, 101328, 98833, 37640, 2932, 54745, 2865, 6428, 29259, 48253, 5, 2451, 364, 59929, 2882, 1751, 75230, 5666, 6235, 22426, 26632, 77188, 1285, 1751, 159696, 1982, 109316, 4944, 32, 46985, 17410, 33809, 2442, 6655, 19532, 75230, 2702, 8903, 3111, 2865, 43178, 1470, 40026, 3131, 6, 172060, 126968, 28726, 1751, 159696, 1982, 109316, 4944, 1470, 17310, 4113, 1982, 29060, 5666, 1470, 22426, 2932, 54260, 5666, 37640, 5666, 1470, 54260, 159696, 28726, 5, 25491, 219047, 22639, 6, 5, 4151, 364, 54260, 2865, 27, 292, 7369, 37826, 6235, 97634, 5666, 1470, 564, 135118, 188301, 54561, 42733, 8300, 4, 78891, 39083, 22639, 45521, 50853, 84475, 22639, 119055, 14081, 2648, 4, 10339, 147713, 9213, 4944, 15864, 30741, 10339, 29259, 6093, 1470, 54260, 16667, 10705, 2932, 9424, 238144, 4, 22639, 4151, 17824, 13159, 16932, 6, 74004, 159696, 15529, 107581, 152, 10339, 147713, 2882, 22753, 1982, 9356, 20033, 6, 26394, 115453, 75290, 2932, 27, 2808, 24295, 1751, 34365, 2932, 90848, 1982, 5666, 3056, 6235, 119718, 29766, 5666, 67826, 1644, 5, 20632, 16932, 28714, 2932, 3056, 23050, 147713, 5666, 3069, 74004, 2865, 43178, 3882, 144754, 73095, 164863, 54260, 4113, 119718, 5666, 5960, 9934, 29259, 5666, 10213, 21338, 5, 7038, 107581, 37826, 6235, 119718, 20961, 63593, 2882, 9915, 54260, 3069, 874, 34557, 98833, 54260, 5, 9820, 14081, 2808, 33809, 2442, 9213, 4, 6235, 159696, 5666, 6681, 3111, 2865, 43178, 1285, 182990, 9424, 29259, 2882, 7265, 5666, 1470, 54260, 159696, 28726, 5, 22639, 3131, 34365, 2932, 90848, 1982, 5666, 3056, 6235, 119718, 29766, 5666, 119055, 20961, 63593, 5, 8947, 151614, 1982, 5666, 22753, 1982, 9356, 51963, 2865, 43178, 6235, 21733, 4113, 22426, 2882, 10069, 1470, 75230, 2932, 5666, 4, 2190, 5666, 51963, 151614, 1982, 5666, 122133, 1982, 6235, 13982, 63593, 21295, 5, 2808, 24295, 223779, 7201, 29771, 20260, 119273, 1644, 4, 199145, 3056, 6235, 159696, 5666 ]

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

[ 9356, 221067, 70598, 112711, 43178, 6, 198087, 137377, 5666, 4, 506, 64260, 6235, 21733, 17310, 43178, 5, 221067, 70598, 112711, 3056, 6235, 159696, 5666, 6, 59461, 159696, 168155, 37640, 5666, 1285, 40653, 125897, 4, 506, 64260, 7369, 34076, 29259, 1982, 4151, 506, 77188, 54745, 2865, 19302, 17310, 2190, 5666, 37826, 22753, 4944, 6235, 51172, 22426, 2882, 3069, 2882, 24621, 37826, 6, 42733, 142429, 77188, 37640, 5666, 1285, 119718, 15533, 17645, 29659, 34557, 4, 37640, 5666, 564, 215206, 2808, 20315, 29659, 34557, 1470, 8300, 238144, 2882, 5666, 874, 39083, 292, 137, 73381, 65482, 5666, 9356, 119425, 10339, 29259, 6093, 4, 22753, 1982, 3069, 23847, 54260, 2882, 5666, 3069, 4151, 620, 115536, 2909, 2451, 73095, 48974, 54260, 4113, 119718, 4, 7038, 107581, 4, 73095, 48974, 54260, 4113, 119718, 38, 26217, 16932, 28714, 5666, 37826, 220224, 6235, 159696, 20911, 7265, 1285, 364, 35596, 4, 7265, 1285, 895, 2882, 1982, 75230, 2932, 66293, 5, 8903, 51172, 22426, 2882, 95455, 223779, 7201, 29771, 20260, 119273, 1644, 2190, 5666, 2205, 19532, 75230, 2702, 195054, 29771, 150020, 4151, 184639, 68561, 29434, 75230, 2702, 2932, 5, 25491, 119425, 3056, 120202, 8903, 8903, 1982, 5666, 6235, 119718, 29766, 5666, 1470, 9356, 61541, 12, 2451, 1285, 1285, 59461, 3131, 145702, 3069, 1285, 68889, 2865, 26632, 2932, 38, 4852, 29259, 23269, 5666, 163139, 35189, 37640, 5666, 1285, 1751, 34365, 2932, 90848, 1982, 66293, 19532, 75230, 2702, 8903, 58679, 200117, 5666, 122133, 56703, 28726, 59919, 125897, 101503, 710, 44478, 34533, 2932, 4, 6, 26394, 105235, 21295, 22753, 4944, 9356, 1285, 123736, 7201, 65482, 874, 29259, 44478, 37640, 5666, 1285, 7265, 22680, 120467, 2882, 6, 150271, 75230, 18415, 68889, 2865, 26632, 5666, 5, 4151, 224220, 183512, 9221, 7265, 73095, 48974, 54260, 4113, 119718, 5666, 194885, 5666, 8903, 2932, 2808, 26394, 5666, 3069, 2865, 6, 172060, 185226, 5, 17268, 5666, 564, 215206, 2808, 20315, 29659, 34557, 3056, 163139, 35189, 120202, 8903, 8903, 1982, 5666, 6235, 119718, 29766, 5666, 1470, 9356, 61541, 12, 37271, 27909, 39248, 29259, 2702, 5666, 54745, 2865, 3373, 75230, 119132, 32054, 29771, 13497, 5, 163139, 21066, 657, 75230, 4944, 46598, 95455, 170479, 42493, 78683, 16803, 5666, 4, 6681, 6319, 54260, 5666, 6, 74004, 4944, 42493, 120202, 128540, 5, 22753, 4944, 4, 42493, 21776, 4944, 65482, 5666, 22753, 1982, 7265, 17190, 1982, 16870, 125897, 30109, 4113, 23741, 5666, 20971, 5, 25491, 2865, 6319, 75322, 104274, 9221, 37640, 5666, 7508, 6093, 9356, 174410, 54260, 4, 60980, 22426, 15907, 112711, 3373, 29766, 34882, 24295, 4, 3056, 35189, 41764, 2808, 22426, 9221, 34322, 19532, 75230, 2702, 8903, 145168, 2932, 37640, 5666, 874, 75230, 1644, 4, 119055, 43178, 7369, 37826, 4151, 506, 77188, 34654, 1644, 21660, 18415, 119055, 6093, 16932, 5, 7369, 3056, 6235, 159696, 5666, 22639, 144754, 5666, 7508, 6093, 9356, 174410, 54260, 4, 37826, 7369, 6235, 97634, 2932, 1470, 84087, 25491, 2648, 29259, 2882, 213952, 5666, 6, 98055, 32611, 6, 80453, 7682, 26632, 5666, 2190, 2932, 6235, 170355, 98833, 12, 2451, 6681, 3131, 109636, 46545, 2882, 5, 2181, 119055, 29060, 220224, 182261, 45223, 150020, 163139, 2808, 16175, 75230, 2882, 5666, 564, 167622, 13159, 5, 6093, 37826, 42493, 9356, 119718, 15533, 5666, 4838, 148346, 13342, 5666, 54260 ]

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

[ 2932, 1470, 186046, 81414, 2882, 37640, 5666, 6, 80453, 7682, 40096, 5666, 4, 163139, 14856, 506, 64260, 107020, 1751, 75230, 5666, 40653, 8903, 8903, 1982, 5666, 1470, 9424, 238144, 18415, 223779, 27720, 76776, 23847, 2808, 24621, 12, 2451, 137, 20961, 75230, 2702, 3131, 7682, 5666, 54745, 2865, 21776, 168155, 119718, 6, 113889, 4944, 218606, 23269, 20260, 75230, 1644, 5666, 5, 202446, 5666, 1285, 9356, 174410, 54260, 22639, 167048, 21660, 6093, 6, 204932, 10918, 22426, 1644, 24295, 5, 9934, 29259, 5666, 17824, 54260, 2882, 3069, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 22639, 4235, 17645, 35189, 6, 120749, 17310, 5, 6319, 29766, 87442, 9221, 5666, 7265, 5666, 10339, 29259, 6093, 119055, 29060, 26, 35189, 6235, 59461, 14081, 19532, 96256, 87311, 5, 2702, 29771, 203749, 33809, 1982, 2909, 2451, 8947, 178748, 1751, 75230, 1982, 6319, 29766, 87442, 9221, 5666, 4151, 1751, 73381, 37640, 5666, 4151, 19532, 15231, 44478, 17645, 14081, 54260, 5666, 5, 8947, 119055, 29060, 37640, 5666, 21776, 2865, 220273, 219947, 42493, 19532, 75230, 2702, 5, 80453, 7682, 64260, 37826, 95455, 6235, 225975, 2882, 7265, 3069, 1644, 29771, 4944, 13159, 5, 7369, 37826, 6235, 119718, 39083, 2882, 4, 172590, 75230, 101608, 54745, 2865, 224220, 104274, 9221, 2190, 5666, 54745, 2865, 1751, 123329, 5666, 3373, 29771, 203749, 18340, 170479, 5666, 107020, 49920, 22492, 75230, 1982, 1285, 6, 113889, 35596, 4113, 3373, 39083, 192061, 5666, 5, 35189, 117902, 127583, 3131, 7682, 60980, 200117, 109316, 119718, 37826, 1751, 75230, 5666, 9424, 29259, 2882, 174246, 163139, 35189, 6, 159696, 50610, 123329, 5, 20315, 2865, 41764, 45629, 204403, 93509, 48253, 7682, 37826, 4151, 224220, 93047, 9221, 3373, 29766, 218241, 24295, 120202, 8903, 3131, 93449, 2808, 24295, 21776, 168155, 119718, 4, 2190, 5666, 5950, 54260, 5666, 3056, 7369, 6235, 90536, 1982, 2932, 43649, 54260, 2932, 1470, 67854, 130154, 5666, 98664, 710, 37640, 83182, 9356, 174410, 54260, 5, 9934, 29259, 5666, 130154, 6093, 6, 64991, 37826, 9356, 107020, 6235, 13982, 4113, 29060, 163139, 9356, 1470, 117902, 38054, 210726, 123329, 5, 52, 101608, 2932, 54260, 4113, 119718, 3056, 6235, 29659, 112711, 43178, 37640, 5666, 119055, 29259, 2882, 5666, 5, 40653, 5666, 6, 162785, 1644, 3056, 9356, 107020, 8903, 159696, 5666, 132025, 8903, 97634, 5666, 95455, 223779, 7201, 29771, 20260, 119273, 1644, 2190, 5666, 22639, 1285, 364, 35596, 37826, 7369, 6235, 506, 158291, 5666, 1470, 60980, 48253, 1644, 39340, 7265, 223779, 7201, 171433, 13982, 64260, 5, 7369, 3056, 6235, 159696, 5666, 6681, 2648, 29259, 8903, 2882, 5, 37271, 97634, 46685, 119055, 29060, 874, 43178, 6, 73381, 65482, 5666, 1470, 10339, 29259, 6093, 40653, 1285, 1470, 54260, 2932, 65482, 32, 199145, 6, 159696, 16932, 192183, 43178, 16175, 171433, 1470, 75230, 101608, 6, 26394, 22426, 1644, 171433, 16932, 5666, 1285, 9356, 61541, 5666, 32, 40653, 1982, 29259, 2882, 5666, 95455, 23822, 29259, 17160, 4, 54745, 2865, 163139, 177243, 90848, 2648, 4, 8947, 170479, 6319, 54260, 5666, 177157, 43178, 42493, 43449, 29259, 1982, 5666, 37640, 5666, 54745, 2865, 64044, 17410, 2932, 5666, 220224, 123073, 32, 5, 5, 95455, 119055, 29060, 7369, 16175, 171433, 5, 120202, 61397, 20616, 2882, 2909, 5, 80453, 7682, 64260, 37826, 7265, 1470, 6, 113889, 4852, 15231, 10813, 6235, 119718, 710 ]

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

[ 29659, 1285, 6681, 22680, 29766, 65482, 119055, 171433, 26394, 4, 144754, 5666, 874, 75230, 1644, 2190, 5666, 7265, 5666, 6, 113889, 4852, 37826, 7369, 6235, 46464, 22426, 2882, 1285, 9934, 75230, 123073, 43449, 64260, 13845, 905, 23741, 4, 119718, 120467, 37826, 74806, 203749, 5666, 37640, 2932, 657, 63593, 1285, 68889, 2865, 26632, 5666, 5, 7369, 3056, 6, 26394, 4113, 185337, 43178, 220273, 113889, 35596, 3069, 2865, 60980, 22426, 15907, 112711, 3373, 29766, 218241, 24295, 5, 2451, 9213, 1982, 874, 54260, 2932, 27, 22639, 364, 41595, 6093, 111506, 4, 292, 9934, 29259, 5666, 21374, 5666, 37826, 22753, 4944, 130363, 29259, 1644, 91595, 4, 6235, 119718, 29766, 5666, 4269, 17410, 57619, 7682, 163139, 1470, 14856, 3131, 65482, 115222, 22426, 1644, 37640, 5666, 1470, 17824, 182759, 2882, 292, 22639, 10069, 43649, 29060, 27, 2451, 42493, 133190, 22639, 1285, 43649, 29060, 4, 292, 37826, 3373, 29766, 218241, 24295, 120202, 8903, 35596, 59919, 2882, 7265, 46985, 2702, 4, 292, 22639, 1285, 4151, 59919, 1470, 75230, 4944, 27, 2190, 5666, 22639, 1285, 6, 99176, 110970, 54260, 43178, 292, 42493, 4730, 64044, 2865, 137377, 29060, 3056, 6235, 17494, 2865, 43178, 3069, 657, 75230, 67854, 4151, 4231, 98071, 23405, 6093, 6093, 22518, 29259, 75578, 4, 6235, 13458, 115536, 1470, 29434, 710, 18415, 223779, 7201, 29771, 113889, 23847, 2808, 24621, 12, 37271, 35189, 6235, 61397, 14081, 19532, 96256, 87311, 16667, 29771, 203749, 18340, 119055, 29060, 42493, 6319, 29766, 87442, 9221, 5666, 5, 42493, 118222, 40633, 43178, 38, 19532, 25046, 119718, 20961, 150020, 22753, 4944, 32611, 1285, 6428, 29259, 48253, 40697, 1751, 34365, 2932, 90848, 1982, 16667, 37640, 5666, 4151, 22639, 27720, 2932, 16932, 17645, 5, 22753, 4944, 3069, 2865, 119273, 5666, 3069, 2865, 3373, 75230, 23269, 2702, 19532, 15231, 44478, 17645, 2190, 5666, 10213, 3131, 75230, 2865, 75230, 150020, 1197, 7511, 2882, 19532, 75230, 2702, 212484, 5666, 34654, 22639, 31623, 23829, 15231, 119718, 5, 107020, 101251, 119718, 20961, 150020, 5, 7265, 1470, 6681, 8300, 75230, 112595, 29259, 6093, 107020, 19532, 75230, 2702, 119718, 20961, 150020, 37640, 5666, 1285, 1751, 34365, 97634, 1982, 16667, 4, 6681, 23269, 2865, 43178, 194885, 117902, 30473, 42180, 2702, 5, 20033, 5666, 107020, 46711, 29259, 1982, 5666, 37640, 5666, 41764, 100810, 4484, 2190, 5666, 37640, 5666, 6, 88660, 159696, 1644, 27, 2451, 182261, 4, 292, 9356, 2865, 224220, 93047, 9221, 3373, 29766, 218241, 24295, 151614, 1982, 5666, 22753, 4944, 6235, 84316, 63532, 1285, 7972, 22426, 5666, 292, 6, 101328, 4, 182261, 119055, 29060, 7508, 120467, 45223, 150020, 163139, 1470, 3069, 8903, 1982, 88917, 114436, 46654, 218241, 5666, 3069, 64567, 120202, 8903, 21066, 93449, 5, 6, 64991, 5, 2808, 35189, 9934, 75230, 6093, 6093, 11211, 17017, 37826, 6235, 98055, 2882, 7265, 1470, 6681, 84316, 63532, 5666, 117902, 23269, 2865, 37640, 100863, 21660, 18415, 45521, 119718, 2442, 14081, 18415, 2932, 5, 6, 5, 35189, 166464, 3056, 6235, 159696, 5666, 34076, 29259, 4944, 154739, 46545, 5, 4151, 6, 113889, 216510, 151614, 162642, 29771, 13497, 37826, 30473, 4944, 132025, 8903, 97634, 5666, 22639, 1470, 564, 141356, 125897, 45521, 50853, 86733, 4944, 14081, 26632, 4, 6681, 2932, 120467, 5666, 22753, 4944, 7265, 195054, 29771, 3131, 114436, 119055, 2808, 22426, 23269, 5, 4151 ]

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

[ 11211, 17017, 3056, 42493, 6319, 54260, 5666, 11211, 17017, 4, 1285, 7369, 2648, 2205, 42493, 4484, 54260, 5666, 7369, 2648, 5, 2702, 39083, 3149, 26632, 5666, 151614, 1982, 5666, 6235, 3111, 10069, 29060, 9356, 1285, 620, 13159, 6093, 37640, 5666, 68889, 2865, 26632, 5666, 4, 9356, 1285, 137377, 8903, 119718, 29766, 7201, 65482, 16175, 9221, 28726, 4944, 6, 105780, 1285, 657, 29766, 905, 148346, 46985, 16803, 16667, 5, 14856, 37826, 22753, 4944, 6235, 84316, 56169, 2190, 5666, 6235, 4852, 15435, 21295, 4, 6235, 4852, 15435, 21295, 2190, 5666, 6235, 58679, 56169, 12, 2451, 22639, 4151, 41764, 46646, 54698, 16803, 159696, 4269, 64260, 2702, 15864, 2865, 43178, 4, 4151, 23050, 4484, 54260, 159696, 4, 4151, 68891, 5, 2451, 9213, 4944, 119055, 39083, 2882, 4269, 64260, 5950, 54260, 5666, 1470, 145813, 29259, 6235, 97634, 5666, 1470, 18640, 9934, 29259, 2932, 1470, 54260, 2442, 13845, 5666, 204403, 23269, 2865, 5, 2808, 6, 56914, 59919, 145813, 29259, 7265, 1470, 1751, 80453, 31623, 9356, 21847, 54260, 2882, 1285, 119055, 6093, 16932, 5, 2451, 22639, 17824, 88680, 17190, 1982, 16870, 125897, 3056, 6, 90848, 15949, 216333, 163139, 22639, 17824, 88680, 16175, 75230, 18415, 6, 5, 292, 95455, 37826, 6235, 225975, 2882, 3496, 119718, 9221, 24295, 4, 4151, 4269, 88680, 4, 4151, 15857, 109600, 6093, 41764, 75230, 93497, 119718, 9221, 24295, 5, 7369, 2205, 3069, 8903, 185337, 43178, 3069, 2865, 7508, 23174, 37640, 5666, 68889, 2865, 26632, 50856, 142429, 4, 22753, 4944, 6, 190135, 7265, 4151, 162726, 54260, 26394, 3069, 107020, 2190, 5666, 22753, 4944, 6235, 126700, 5666, 9424, 119718, 13456, 50856, 710, 657, 137377, 29060, 4484, 13159, 5, 2808, 14856, 1982, 29259, 4113, 38, 163139, 9213, 1982, 119055, 39083, 2882, 22639, 1470, 564, 29766, 6235, 159696, 5666, 5, 2808, 115556, 192183, 22753, 4944, 160238, 105235, 1644, 5666, 6150, 75230, 16667, 4, 199145, 3056, 220273, 22639, 4151, 159696, 21295, 42493, 29771, 5, 2451, 32611, 4151, 6, 159696, 21295, 2205, 5950, 8300, 6681, 112711, 4, 133190, 42493, 6681, 2190, 50856, 1211, 4, 163139, 1644, 20315, 27, 2451, 874, 54260, 16667, 2882, 4, 6150, 119055, 29259, 16932, 119055, 29060, 1470, 75230, 1982, 6150, 75230, 9934, 29259, 5666, 32, 2451, 14856, 37826, 74806, 189098, 5666, 40653, 1285, 6681, 2932, 25207, 1982, 18415, 364, 41595, 16667, 4, 14856, 10498, 29259, 16803, 10705, 5666, 14856, 119055, 29060, 27, 6, 125830, 84316, 22426, 4484, 43178, 37826, 178748, 42493, 6235, 212484, 5666, 6, 188301, 5666, 5, 14856, 37826, 22753, 4944, 32611, 107020, 8903, 119718, 29766, 150020, 37640, 5666, 51963, 9934, 29259, 2882, 5666, 27321, 2451, 6681, 28714, 1982, 6428, 29259, 5666, 41764, 710, 95564, 4, 22444, 364, 106559, 1470, 54260, 59461, 38, 2451, 20033, 5666, 124724, 17190, 75578, 123329, 506, 54260, 2882, 1285, 6235, 35189, 52480, 19532, 75230, 49268, 29259, 2702, 5666, 38, 2451, 223779, 2442, 28726, 75290, 38, 5, 5, 2451, 170479, 7369, 95455, 40653, 4852, 29771, 4113, 4, 292, 37826, 22753, 4944, 1470, 75230, 2702, 8903, 21847, 29259, 40920, 3373, 119718, 9221, 24295, 4, 292, 6, 5, 14004, 4944, 119055, 13845, 1470, 15907, 163139, 1470, 6, 48253, 119718, 218241, 1470, 18640, 4151, 7369, 2648, 19532, 29259, 20260, 17410, 22426, 5666, 5, 13159, 151614, 1982 ]

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

[ 5666, 22753, 4944, 6235, 25207, 98833, 6, 89930, 54260, 8300, 18415, 3496, 29259, 13159, 5, 9424, 54260, 59461, 151614, 1982, 5666, 6235, 84316, 56169, 4, 10705, 5666, 8947, 151614, 1982, 5666, 22753, 1982, 6235, 203326, 2932, 6681, 3131, 153222, 24621, 18415, 3944, 22426, 5666, 5, 131002, 710, 22426, 39340, 6, 5, 2205, 6235, 4852, 13159, 5666, 4, 163139, 1470, 6, 51172, 168155, 7265, 44458, 40653, 8903, 3131, 203749, 65482, 2865, 25616, 54260, 8300, 5, 9934, 29259, 5666, 6319, 137377, 37826, 7369, 19532, 29259, 2932, 21660, 75230, 2932, 5666, 22639, 34654, 6, 162785, 1644, 43178, 4, 163139, 1470, 364, 54260, 2865, 212484, 6093, 364, 106559, 21422, 2882, 19532, 29259, 5666, 9424, 119718, 13456, 5666, 1285, 6, 131445, 9934, 29259, 5666, 6, 37016, 5, 2181, 151614, 1982, 2932, 133190, 74806, 174410, 8300, 65848, 19024, 25207, 3373, 50931, 13159, 194885, 5, 11556, 107581, 3056, 6235, 159696, 1982, 7508, 6093, 1470, 54260, 57619, 123329, 4, 199145, 37826, 2190, 111137, 506, 158291, 5666, 6, 204932, 39083, 2648, 26632, 5666, 12, 2451, 7369, 119055, 29060, 95455, 28415, 42493, 6, 225975, 5666, 4, 292, 37826, 7369, 6235, 22426, 3131, 29766, 29060, 5, 5, 2451, 170479, 7369, 42493, 874, 54260, 23269, 5666, 4, 6150, 364, 29259, 13497, 3056, 4, 49920, 45521, 29025, 13497, 6093, 4231, 29766, 5, 7265, 22426, 26632, 2442, 98071, 64260, 15533, 2865, 119055, 29060, 7369, 6319, 54260, 23269, 2865, 42493, 23050, 2865, 43178, 4, 42493, 130170, 4484, 75230, 150020, 5, 27, 221067, 70598, 112711, 2205, 6235, 4852, 13159, 5666, 19532, 75230, 2702, 61397, 905, 20911, 54745, 2865, 52, 4484, 137377, 37640, 5666, 1751, 34365, 2932, 90848, 1982, 5666, 4, 30473, 4944, 3069, 8903, 506, 77188, 3069, 1285, 6235, 10069, 4944, 18415, 7508, 54260, 2442, 37640, 5666, 1285, 3373, 39083, 2648, 26632, 5666, 2190, 5666, 37826, 22753, 4944, 2932, 15907, 19532, 29259, 5666, 8903, 9719, 29659, 5, 7369, 37826, 133190, 6235, 210674, 12, 137, 10069, 22492, 144754, 2205, 6681, 112711, 4, 2808, 54260, 37640, 20260, 4, 292, 44458, 8947, 119055, 29060, 9934, 29259, 2932, 1470, 22518, 37016, 192956, 2442, 2190, 22680, 29259, 2702, 155, 27, 80453, 7682, 64260, 5, 3056, 6, 4, 6235, 29659, 112711, 43178, 9356, 4151, 17806, 109636, 45521, 38054, 40697, 874, 34533, 2190, 2932, 37826, 238197, 7265, 3373, 88660, 1982, 109316, 119718, 5666, 5, 15, 10069, 45521, 38054, 40697, 874, 34533, 3056, 6235, 159696, 5666, 3069, 8903, 23847, 54260, 2882, 13342, 2865, 130170, 10918, 50856, 5666, 22753, 4, 1470, 75230, 1982, 4151, 6428, 29259, 48253, 119055, 29060, 6, 212484, 5666, 4269, 54595, 5666, 194, 2451, 199145, 119055, 29060, 9356, 50853, 74806, 43178, 4, 199145, 119055, 29060, 9356, 50853, 74806, 43178, 32, 26217, 16932, 28714, 5666, 37826, 7265, 14779, 29025, 21733, 2808, 22426, 161829, 6235, 119718, 101503, 32611, 6235, 36326, 161829, 5666, 4, 29771, 75578, 22639, 223779, 7201, 171433, 37826, 7265, 1470, 22444, 98071, 4484, 5666, 16175, 171433, 40653, 8903, 8903, 1982, 5666, 73095, 48974, 54260, 4113, 119718, 12, 2451, 6, 113889, 30741, 40026, 49597, 6093, 103023, 5666, 21422, 17410, 29259, 5666, 105235, 1644, 7265, 17824, 182759, 2882, 5666, 4, 1470, 7508, 54260, 44917, 200117, 19532, 54260, 5, 26217, 16932, 28714, 5666, 37826, 40653, 8903, 8903 ]

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