Datasets:
joegolk
/
roberta-tokenized-data

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
[ 18225, 6319, 68558, 76963, 220224, 1211, 7265, 6, 47351, 4838, 23269, 53805, 64260, 84475, 4838, 119718, 45631, 4, 2200, 18225, 6, 94741, 63020, 42493, 36324, 75230, 874, 79950, 79950, 220224, 1211, 7265, 119055, 6093, 16932, 4, 163139, 119055, 12483, 18225, 6, 238144, 2702, 5, 165592, 220224, 6, 159696, 67873, 43449, 54260, 18406, 56170, 25391, 710, 18406, 1751, 119718, 23173, 7611, 230764, 6, 238144, 2702, 5, 119718, 29766, 448, 22518, 54260, 18406, 6, 159696, 15388, 220224, 23269, 6, 125942, 710, 119718, 131044, 1211, 2205, 4151, 21422, 33104, 5, 2702, 29771, 8300, 5, 9356, 159696, 2932, 17310, 92500, 2205, 1285, 77775, 52059, 29631, 2200, 7369, 32670, 17310, 96743, 171127, 15907, 905, 42180, 2702, 4, 84087, 6255, 7746, 42493, 1982, 26612, 225164, 4, 292, 221895, 6, 159696, 67873, 8947, 162926, 160204, 216333, 163139, 6255, 6319, 68558, 8947, 160204, 5, 168892, 6, 238144, 2702, 43449, 75230, 4852, 1470, 54260, 1211, 6, 170355, 4667, 4, 36324, 36324, 75230, 23269, 115374, 4, 163139, 87644, 132213, 6319, 59929, 97634, 6293, 4, 4852, 171428, 42493, 29771, 3069, 46590, 4, 2200, 119055, 12483, 220224, 21923, 81444, 21923, 220224, 4838, 6235, 119718, 100810, 56170, 148932, 27702, 25603, 2932, 17310, 5, 7369, 56170, 2648, 41595, 162926, 10676, 158504, 199145, 11265, 19302, 54260, 47332, 7746, 70845, 3069, 13342, 2882, 54260, 67873, 5, 6093, 1644, 75230, 47332, 20033, 6428, 23173, 88680, 3069, 27702, 68566, 46053, 70845, 2200, 163139, 110970, 1211, 70845, 657, 48904, 8903, 6, 101328, 61621, 3120, 18415, 15231, 2932, 4484, 54260, 2882, 56170, 1285, 1470, 88945, 21106, 1211, 199145, 21923, 70845, 16175, 54260, 6093, 4, 3120, 72577, 1211, 203013, 2200, 34076, 7682, 5, 13342, 235210, 12483, 7265, 220224, 1211, 10339, 26612, 123559, 4113, 5, 26, 2808, 88660, 147713, 137218, 28726, 27702, 68566, 2702, 17310, 41387, 4113, 32054, 54260, 13497, 37640, 66293, 137, 28714, 9221, 6319, 59929, 97634, 6293, 15622, 44693, 54260, 88660, 2865, 131044, 155, 152, 35189, 1644, 75230, 47332, 20033, 3069, 4151, 6235, 147713, 5927, 54260, 2882, 3120, 10676, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 9183, 44693, 54260, 3120, 90284, 35189, 2200, 32054, 54260, 13497, 132213, 6319, 59929, 97634, 6293, 3069, 22518, 54260, 18406, 4838, 117902, 2442, 119055, 6093, 16932, 5, 56170, 1285, 46590, 4113, 6, 101328, 61621, 4, 199145, 20033, 187483, 1211, 3069, 74004, 51723, 4, 151614, 1982, 6255, 2205, 70845, 6235, 17268, 49008, 1470, 115374, 4, 159696, 1644, 104238, 3056, 9213, 46685, 17824, 54260, 2882, 3069, 160204, 4838, 67873, 199145, 3056, 178748, 44779, 56170, 10676, 1470, 54260, 179561, 119132, 144754, 97594, 2648, 3120, 4151, 108276, 68558, 4, 6, 172060, 185226, 163139, 56170, 4151, 4269, 48904, 89930, 123736, 48974, 48904, 15533, 215726, 292, 178766, 1982, 21106, 16011, 18415, 71180, 23741, 39293, 89930, 108276, 68558, 4, 657, 218241, 21106, 4838, 2808, 5, 4838, 75386, 4151, 3373, 37016, 25207, 16932, 23822, 48350, 47750, 6093, 3120, 35189, 108276, 68558, 151614, 1982, 6255, 6235, 506, 40096, 6235, 3111, 2932, 6235, 147713, 5927, 54260, 96986, 8947, 3069, 27702, 29771, 1982, 26612, 40920, 12483, 5, 46590, 119055, 39083, 2882, 6255, 6235, 88660, 13497, 6, 225975, 1211, 6, 159696, 15388, 70845, 4838, 75386, 115556, 4, 4838, 75386, 90284, 35189, 4, 4838, 75386, 32054, 54260, 13497, 92500, 187055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 87644, 4, 95298, 6255, 7501, 162926, 4, 95455, 7369, 37826, 1751, 75230, 1211, 6150, 75230, 84087, 140778, 64044, 10069, 194734, 657, 75230, 1982, 8903, 170355, 183216, 6, 68558, 20033, 4, 36324, 95455, 1470, 54260, 112690, 39340, 4, 199145, 3056, 6681, 20033, 56170, 90536, 1982, 12483, 4, 3056, 3069, 163139, 13497, 81829, 70845, 125523, 10184, 28726, 6, 101328, 61621, 3120, 203013, 2200, 80839, 47332, 130745, 4113, 18415, 46545, 54260, 2882, 2205, 169550, 108276, 68558, 4, 163139, 1470, 75230, 4667, 2205, 1285, 87680, 6235, 39293, 139962, 145702, 1211, 4, 119055, 10705, 6093, 6, 105515, 221067, 4838, 68697, 54260, 2882, 4, 4151, 1982, 54260, 95298, 42493, 56170, 8903, 2702, 16747, 18640, 43649, 186797, 3069, 130170, 29659, 2442, 54260, 12984, 20315, 2050, 10339, 129071, 4, 36324, 7369, 6319, 68558, 8947, 160204, 133190, 4838, 6, 94741, 20260, 1285, 221067, 192183, 10069, 42180, 2702, 2200, 1285, 58571, 26394, 29659, 88917, 1211, 199145, 3373, 26, 68313, 1470, 54260, 23405, 73381, 54196, 2205, 169550, 71180, 23741, 39293, 89930, 108276, 68558, 5, 92500, 6255, 27702, 68566, 2702, 70845, 3373, 109636, 42180, 1644, 4838, 75386, 10676, 6, 238144, 2702, 80453, 48350, 15435, 35596, 3120, 169550, 108276, 68558, 5, 144754, 78956, 35189, 7972, 12984, 4269, 60071, 4, 1470, 54260, 123073, 164863, 5, 1470, 183548, 5, 5666, 5, 117902, 46685, 48904, 7611, 95766, 6, 21106, 7611, 8248, 40920, 7369, 17953, 104855, 26, 158548, 4484, 54260, 2882, 711, 185758, 6319, 59929, 97634, 6293, 3056, 4838, 115556, 4, 199145, 37826, 28415, 3120, 21106, 7611, 143064, 17953, 104855, 103023, 54260, 2882, 5, 7369, 6319, 68558, 42493, 6681, 226112, 15388, 1285, 119718, 29771, 107581, 103023, 54260, 2882, 3120, 98478, 2200, 8248, 40920, 9820, 10676, 17953, 19767, 2205, 70845, 5, 125523, 28415, 4, 2205, 20315, 2050, 77014, 24621, 119055, 29771, 75578, 7682, 119364, 6, 62067, 2648, 87442, 7369, 47783, 4151, 506, 75230, 1982, 65482, 4, 17953, 19767, 26, 103023, 63593, 64260, 710, 119718, 1211, 5, 49792, 104855, 26, 103023, 54260, 2882, 292, 95455, 3056, 4151, 364, 75230, 22426, 2882, 87311, 15231, 119718, 3120, 220224, 1211, 3523, 83586, 4, 3120, 159696, 1644, 104238, 8947, 6319, 159696, 21295, 6, 23173, 75230, 2702, 6, 47351, 101251, 141943, 192956, 2442, 1751, 226112, 2050, 3120, 6, 114436, 46677, 4, 6, 35596, 154197, 165592, 2050, 92500, 120202, 15231, 2865, 78653, 5, 49792, 104855, 26, 103023, 54260, 2882, 292, 2200, 48494, 203232, 8248, 12984, 2200, 44917, 200117, 101328, 15388, 7746, 6, 113889, 4944, 26, 1211, 17953, 104855, 711, 2808, 1470, 1470, 2808, 75230, 6293, 220224, 1211, 168677, 3056, 1470, 75230, 2702, 8903, 7201, 21106, 1211, 21422, 220224, 1211, 4838, 77775, 2442, 71180, 23741, 39293, 89930, 5, 4838, 119859, 129891, 84250, 61722, 125897, 41545, 24001, 14325, 4, 2200, 874, 26, 2865, 115536, 564, 54260, 11265, 4838, 6, 119859, 69106, 10339, 54260, 119132, 98478, 5, 56170, 78683, 2702, 97634, 7201, 26, 1211, 95298, 3056, 2190, 27105, 77188, 189623, 44779, 4151, 6235, 94741, 20260, 4, 36324, 71180, 23741, 39293, 89930, 54260, 3056, 7511, 2882, 28415, 163139, 4838, 41545, 24001, 14325, 3120, 119055, 13845, 104238, 874, 26, 10918, 2882, 16976, 5927, 292, 6, 64260, 36324, 75230, 163139, 53117, 16932, 54260, 29771, 35189, 9915, 54260, 35189, 54260, 4, 77985, 5, 42542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 95455, 220224, 1211, 4, 36324, 1470, 71180, 23741, 39293, 89930, 4, 199145, 37826, 3069, 97634, 1211, 220224, 1211, 4269, 48904, 64213, 98478, 7265, 1285, 6, 159696, 24152, 3120, 6319, 171127, 44478, 4, 37729, 6, 159696, 195164, 364, 35596, 5332, 4944, 2932, 54260, 12483, 4838, 103854, 36324, 75230, 84087, 364, 54260, 1644, 125897, 137, 121495, 2004, 119055, 13845, 104238, 45223, 23741, 6, 95494, 33225, 52059, 29631, 4, 3523, 54260, 16803, 71512, 145813, 54260, 4852, 56170, 26, 1211, 10339, 21106, 4484, 4, 292, 42542, 95455, 220224, 1211, 4, 36324, 4151, 71180, 23741, 39293, 89930, 3056, 42493, 46685, 2200, 42493, 6, 238144, 29171, 6093, 163139, 107189, 101328, 49008, 221895, 43393, 17017, 29771, 14540, 705, 3523, 54260, 1211, 4, 215031, 6235, 94741, 20260, 3056, 2190, 27105, 77188, 189623, 44779, 56170, 6319, 59929, 97634, 7201, 26, 1211, 5, 2205, 220224, 23269, 1470, 75230, 15388, 2205, 71180, 23741, 39293, 89930, 54260, 4838, 364, 54260, 1644, 125897, 41545, 14325, 711, 92500, 7369, 6, 105515, 6, 21106, 7611, 2205, 220224, 23269, 177630, 4, 36324, 1285, 115374, 199145, 206994, 1211, 564, 54260, 64260, 4151, 41545, 33534, 232742, 4, 170479, 1211, 56170, 2808, 41595, 6093, 13159, 54196, 119055, 53414, 2205, 17288, 104238, 4113, 64769, 33188, 4, 4944, 10069, 220224, 37189, 27720, 6, 170355, 67873, 1470, 75230, 4667, 119055, 53414, 3496, 64260, 3131, 4838, 60980, 22426, 15907, 126968, 137, 54698, 3131, 2909, 78683, 2702, 97634, 6293, 3056, 6235, 159696, 1211, 1470, 54260, 59461, 3120, 1285, 200795, 292, 2200, 9424, 119718, 65689, 6, 85310, 23741, 25603, 89930, 4, 29257, 40920, 7746, 4, 4151, 1470, 54260, 57619, 123329, 292, 6, 159696, 51723, 4151, 27702, 26632, 152185, 3069, 29659, 183512, 3120, 21776, 98002, 2648, 152185, 1470, 75230, 35044, 54260, 23269, 1982, 7611, 37826, 42493, 6235, 212484, 1211, 22444, 12483, 5, 7369, 37826, 40105, 6, 159696, 15388, 21776, 2050, 5666, 54260, 1211, 95766, 75230, 1982, 21660, 7682, 95766, 6681, 3131, 54260, 2648, 65482, 9424, 54260, 48253, 12415, 23741, 1211, 4, 37826, 6, 238197, 6, 159696, 15388, 10676, 7265, 22518, 54260, 75578, 2200, 3131, 22426, 48775, 4667, 7201, 29766, 86733, 4, 37826, 6, 48904, 15907, 54196, 56170, 4838, 192183, 59919, 76632, 1211, 6, 159696, 15388, 4151, 10339, 48775, 8903, 4, 37826, 2808, 75230, 2702, 8903, 26, 172060, 13845, 26, 2882, 36324, 1285, 77775, 71180, 23741, 39293, 89930, 108276, 68558, 170479, 564, 54260, 4151, 81444, 4852, 123329, 88660, 5666, 59919, 4113, 69106, 220224, 1211, 56170, 226112, 28320, 5, 2200, 119055, 12483, 6, 47351, 6, 29766, 97634, 2932, 48775, 7916, 36326, 224220, 21292, 17645, 3056, 123736, 48974, 48904, 15533, 54196, 6235, 119718, 29766, 1211, 4, 2200, 22753, 37826, 6, 141943, 44779, 56170, 73381, 177282, 91595, 1470, 54260, 1211, 657, 34533, 45949, 448, 92500, 4838, 9424, 238144, 18415, 4, 3056, 6319, 59929, 97634, 6293, 6235, 159696, 1211, 4838, 34076, 7682, 192956, 2442, 292, 95455, 3056, 6235, 159696, 1211, 4838, 49792, 104855, 4, 2205, 119055, 13845, 12984, 7369, 37826, 6235, 506, 40096, 4838, 20585, 711, 10069, 77775, 71180, 23741, 39293, 89930, 108276, 68558, 6, 226112, 98833, 10676, 223229, 19251, 5, 4838, 3069, 7201, 21106, 2808, 170355, 152, 86296, 1285, 71180, 23741, 39293, 89930, 14004, 194734, 164863, 79238, 171433, 14081, 37826, 19532, 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, 193120, 4838, 6, 48253, 23173, 16932, 3069, 1285, 77775, 71180, 23741, 39293, 89930, 37826, 8947, 17824, 142429, 6235, 234221, 564, 54260, 223229, 19251, 5, 7201, 23173, 6, 78683, 4944, 97634, 7201, 26, 1211, 95298, 657, 176727, 2205, 10676, 223229, 19251, 4838, 874, 34533, 40697, 6319, 48775, 23741, 5, 4151, 3111, 46685, 19251, 3056, 364, 54260, 105330, 2200, 874, 26, 205416, 70845, 42493, 6, 212484, 1211, 43449, 54260, 18406, 6, 21106, 54260, 1211, 2200, 56170, 2808, 54260, 5666, 235210, 2882, 5, 7369, 235466, 7746, 17824, 24295, 35465, 4838, 9721, 35596, 3131, 19251, 3120, 230191, 76776, 10918, 232187, 67873, 23173, 30750, 16932, 6681, 1982, 104274, 56170, 71180, 23741, 39293, 89930, 292, 2200, 5332, 37826, 220224, 16667, 1470, 75230, 2702, 8903, 7916, 33716, 711, 6093, 37826, 56170, 21066, 48904, 56169, 10676, 364, 54260, 7972, 15388, 223229, 19251, 2205, 125523, 4838, 220273, 28320, 711, 1644, 51220, 6, 225975, 1211, 4838, 163139, 7611, 4, 36324, 2181, 3056, 17824, 23174, 6093, 7746, 3069, 6, 98833, 26, 1211, 7265, 4838, 6, 238144, 1982, 4, 1470, 54260, 35189, 144754, 4838, 55242, 89930, 5, 95455, 3056, 40653, 506, 75230, 22426, 2882, 88771, 6, 159696, 15388, 4231, 65482, 55242, 89930, 4, 119055, 46646, 187483, 1211, 95766, 1285, 17824, 75230, 36419, 193012, 192956, 9424, 54260, 2882, 109226, 5, 119055, 12483, 4838, 55242, 89930, 107776, 6, 23173, 54260, 1211, 206994, 1211, 2205, 26612, 9424, 54260, 2882, 17310, 4, 43449, 54260, 47332, 7369, 1751, 75230, 1211, 6428, 99766, 206994, 1211, 78278, 73784, 77208, 3120, 220224, 23269, 66605, 1211, 5, 78683, 2702, 97634, 6293, 3056, 6235, 159696, 1211, 4151, 1470, 54260, 57619, 123329, 4, 199145, 37826, 1470, 75230, 111137, 23269, 18406, 220224, 1211, 170791, 2205, 37271, 97634, 2932, 155, 2200, 3056, 4838, 159696, 4484, 292, 42493, 6, 238144, 1644, 7369, 37826, 6235, 905, 10705, 49008, 95455, 17824, 75230, 36419, 6235, 119718, 100810, 92500, 37826, 28415, 42493, 6235, 2648, 23173, 23741, 206994, 1211, 4, 2200, 1470, 75230, 4667, 42493, 6, 238144, 1644, 2181, 37826, 7746, 70845, 8903, 101296, 40920, 4838, 216333, 241304, 4, 133190, 6, 238144, 1644, 7369, 6655, 7746, 19532, 54260, 5666, 139449, 2205, 6319, 137377, 20315, 2050, 6235, 94741, 20260, 3069, 6, 87311, 35189, 7511, 4852, 52541, 10676, 185527, 163139, 36324, 75230, 3069, 55242, 64213, 6, 120013, 711, 6, 137218, 61621, 71804, 23405, 6655, 7369, 7746, 19532, 52480, 23269, 99176, 15388, 7265, 10676, 6235, 94741, 20260, 5, 8947, 3056, 42493, 163139, 40920, 18640, 4, 119718, 46646, 220224, 1211, 56170, 4852, 31212, 6655, 7746, 70845, 42493, 1470, 54260, 5666, 193120, 4, 163139, 40920, 18640, 3056, 199145, 7369, 37826, 8903, 119718, 62067, 1470, 54260, 112690, 128540, 2200, 3069, 41764, 62763, 52541, 5, 2200, 182261, 4, 119055, 12483, 6, 120013, 119055, 53414, 1751, 75230, 1211, 2882, 54260, 1644, 238144, 4852, 6235, 39293, 56169, 7265, 4151, 657, 54260, 22492, 2882, 14004, 22426, 28714, 16629, 1211, 4, 132025, 29659, 64260, 159308, 364, 84577, 4, 292, 3056, 13159, 163139, 35189, 6, 75322, 39083, 4838, 17953, 104855, 564, 54260, 6, 78683, 16803, 68561, 26, 1211, 711, 7511, 97634, 6, 47351, 64769, 8580, 4, 119055, 13845, 12984, 6319, 59929, 97634, 6293, 364, 186955, 56170, 163139, 4944, 46545, 4, 36324, 7369, 170479, 42493 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29771, 18406, 6235, 46464, 40920, 3069, 56170, 2808, 41595, 6093, 13159, 52541, 1285, 77775, 71180, 23741, 39293, 89930, 2205, 70845, 5, 6, 94741, 63020, 35189, 137, 62812, 2004, 1285, 9424, 54260, 2882, 17310, 3120, 1285, 77775, 206994, 6093, 2205, 141211, 114788, 4, 57973, 5666, 54260, 4113, 67882, 16629, 49008, 4, 292, 215594, 1751, 75230, 1211, 6319, 59929, 97634, 6293, 4, 36324, 1285, 71180, 23741, 39293, 89930, 170479, 1211, 6, 95494, 33225, 95455, 8903, 21295, 56170, 1285, 67882, 16629, 49008, 2819, 3523, 54260, 46545, 1211, 7746, 1285, 77775, 206994, 6093, 2205, 41764, 75230, 67873, 2205, 2808, 193012, 192956, 2442, 41764, 25603, 7972, 10918, 9416, 16803, 152185, 9424, 54260, 2882, 17310, 4, 292, 6319, 54574, 26, 2882, 7746, 60980, 2702, 97634, 6293, 564, 54260, 2050, 2808, 54260, 20260, 75230, 33225, 56170, 220224, 4838, 29434, 905, 75290, 54260, 4, 2200, 163139, 35189, 6, 75322, 39083, 6235, 164461, 2882, 70845, 3069, 196979, 26612, 6319, 29259, 4, 10069, 6, 5, 4, 6, 26, 25207, 48904, 4852, 54260, 10339, 6, 54260, 9221, 22753, 7508, 54260, 13456, 364, 5, 1470, 54260, 69801, 95564, 59929, 205416, 26, 2702, 200795, 193012, 12483, 6255, 151614, 1982, 4151, 234221, 4838, 78956, 119718, 3120, 7508, 6093, 224220, 710, 18415, 119055, 13845, 107581, 42493, 6, 23173, 75230, 49268, 46598, 6, 235210, 22849, 31212, 130170, 1211, 6, 113889, 51723, 12, 137, 28714, 9221, 6319, 59929, 97634, 6293, 15, 35189, 137, 1982, 42695, 364, 39293, 89930, 155, 16, 17268, 7201, 10918, 4484, 4231, 29766, 6, 101503, 2004, 36324, 6255, 170479, 46711, 54260, 18406, 6, 47351, 6, 23173, 46545, 1644, 4, 151614, 1982, 6255, 6235, 20315, 185226, 4, 165592, 95455, 3056, 162926, 4838, 186421, 4, 36324, 95455, 874, 54260, 13497, 18225, 6, 47351, 6, 183512, 53414, 5, 119055, 29766, 14088, 4, 4852, 41595, 119055, 12483, 7501, 6255, 95455, 6235, 119718, 29766, 1211, 4838, 22518, 54260, 75578, 705, 6255, 151614, 1982, 23050, 2865, 54260, 13497, 4, 36324, 37729, 6, 174121, 850, 151614, 1982, 6255, 23050, 73381, 13497, 4838, 129165, 27105, 1211, 78956, 119718, 5, 6255, 27702, 236376, 4838, 9424, 238144, 28320, 874, 39083, 10676, 113889, 51723, 4, 10676, 4838, 13982, 13159, 1470, 75230, 33225, 192183, 159696, 33716, 4, 81444, 4667, 874, 54260, 59461, 5, 151614, 1982, 6255, 7746, 4151, 87311, 13497, 4, 36324, 564, 54260, 35189, 1470, 75230, 101608, 6093, 6, 159696, 21295, 220224, 49008, 55242, 89930, 56170, 25207, 4944, 13497, 56170, 6, 47351, 137, 46598, 28106, 2909, 42493, 133190, 4852, 54260, 49008, 55242, 89930, 22518, 54260, 75578, 4, 133190, 44064, 6, 80453, 48350, 88945, 198093, 3120, 34654, 56170, 2808, 54260, 29171, 18415, 43649, 40096, 1211, 4852, 54260, 49008, 6235, 159696, 1211, 55242, 89930, 5, 95298, 6255, 7501, 81444, 4667, 4838, 41764, 40714, 16932, 31807, 41545, 14325, 4, 4838, 55242, 89930, 4, 2200, 7511, 2882, 6319, 54260, 1211, 22518, 54260, 75578, 2200, 185040, 7508, 6093, 64044, 163139, 1644, 6255, 43449, 75230, 4852, 22518, 54260, 18406, 206105, 119055, 6093, 16932, 6, 159696, 15388, 60980, 2702, 97634, 17748, 200795, 193012, 2205, 220075, 5, 1982, 233364, 13497, 151614, 1982, 6255, 7746, 7265, 87644, 6319, 59929, 97634, 156325, 7265, 4838, 4231, 29766, 387, 98252, 5, 8947, 3056, 8903, 159696, 1211, 4838, 44917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 200117, 144754, 218241, 4, 6255, 151614, 1982, 6428, 47351, 6235, 119718, 2808, 75230, 13497, 3069, 235210, 12483, 7265, 874, 54260, 23269, 895, 16932, 1211, 2205, 13982, 54260, 19302, 54260, 23269, 21422, 46685, 1211, 230764, 4151, 9213, 47332, 3373, 54260, 2648, 5, 46598, 6319, 54260, 2882, 6, 23173, 54260, 1211, 4838, 4231, 17310, 6093, 212915, 7265, 4838, 6319, 137377, 23050, 25616, 75230, 4852, 18415, 4, 1751, 119718, 23173, 26394, 364, 29766, 2200, 2882, 18415, 21295, 7746, 160238, 12, 37271, 168892, 6, 81050, 182261, 3120, 895, 21292, 1470, 54260, 1644, 141943, 5, 6, 21106, 54260, 1211, 7501, 6255, 4838, 163139, 1644, 59461, 4, 4838, 55242, 89930, 5, 168892, 7501, 4838, 77756, 1211, 56170, 1470, 54260, 123073, 4838, 162726, 52480, 76632, 26394, 4, 895, 39340, 17190, 119718, 8580, 2909, 62808, 57973, 70845, 6, 76776, 49209, 10339, 54260, 1211, 1470, 75230, 7201, 139449, 5, 6235, 101296, 40920, 56170, 70845, 4838, 564, 29060, 3120, 15231, 93497, 119055, 13845, 107581, 18225, 37826, 3069, 235210, 43178, 190135, 15, 2648, 120467, 3056, 6235, 159696, 1211, 95455, 10213, 80885, 199145, 51723, 37826, 241997, 160204, 130170, 1285, 101251, 105235, 16747, 1211, 16, 2200, 6, 113889, 133324, 46598, 163139, 7369, 3056, 564, 54260, 194706, 165592, 75230, 120202, 8903, 159696, 1211, 4838, 119055, 29771, 4667, 9424, 54260, 2882, 4, 151614, 1982, 6255, 70845, 4838, 159696, 4484, 8903, 7916, 33716, 2205, 213909, 6093, 215412, 13342, 1470, 5, 9174, 5, 6, 90848, 4852, 43178, 75578, 2932, 2205, 564, 54260, 2702, 96302, 4, 119055, 10705, 7369, 37826, 7746, 6, 190135, 206994, 1211, 1470, 75230, 33225, 37271, 10705, 18250, 364, 38461, 2909, 6428, 99766, 37826, 7369, 6235, 23173, 1982, 54260, 2882, 4838, 58571, 26394, 9424, 54260, 2882, 2200, 3056, 6, 113889, 133324, 46598, 6, 23173, 54260, 1211, 95766, 7508, 6093, 77775, 2442, 71180, 23741, 39293, 89930, 108276, 68558, 4, 3120, 119055, 13845, 104238, 7369, 3056, 4838, 32887, 46545, 6093, 7265, 97594, 2648, 78278, 364, 54260, 13497, 3069, 166464, 5, 92500, 182261, 4, 3069, 220224, 1211, 836, 710, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 4, 163139, 13497, 6255, 874, 54260, 1211, 6, 88660, 109995, 132213, 78683, 1982, 97634, 6293, 4, 3069, 235210, 12483, 7265, 220224, 1211, 32054, 75230, 2200, 10339, 26612, 123559, 4113, 2200, 7265, 194706, 76961, 51723, 4, 6, 71804, 23405, 29789, 29766, 2200, 170479, 7369, 1470, 54260, 6093, 220224, 1211, 32887, 46545, 36324, 75230, 163139, 78278, 182261, 5, 5666, 5, 6, 90848, 39293, 76776, 25603, 70598, 185758, 6, 78683, 16803, 68558, 292, 4151, 1470, 88945, 21106, 34533, 2451, 7369, 17824, 75230, 101608, 1470, 46685, 7682, 218161, 32054, 54260, 506, 54260, 158652, 63593, 59919, 4, 119055, 141943, 13845, 84087, 710, 22426, 2702, 4, 506, 64260, 7746, 78891, 39083, 1470, 75230, 2702, 8903, 13982, 93449, 4, 95455, 148932, 115556, 147062, 2205, 4852, 54260, 1211, 15622, 105405, 34076, 75230, 18406, 2205, 1470, 1470, 88945, 21106, 2200, 1285, 49008, 220224, 1211, 1470, 88945, 21106, 46711, 54260, 2200, 120202, 59919, 119718, 710, 105330, 5, 10705, 2050, 230764, 4151, 895, 16932, 170479, 7369, 51678, 7265, 3069, 211630, 20260, 54260, 2882, 84087, 1211, 4, 6150, 220224, 1211, 98478, 3056, 7511, 2882, 6235, 159696, 1211, 190800, 2808, 75230, 2702, 116486, 170355, 179625, 2200, 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 ]
[ 29771, 107581, 103023, 5, 28714, 9221, 60980, 2702, 97634, 6293, 37826, 9356, 119718, 15533, 1211, 4, 6150, 8947, 3056, 874, 43178, 44779, 3069, 10339, 25046, 10918, 4484, 4231, 29766, 220224, 1211, 35189, 207013, 2442, 6, 35596, 154197, 59929, 2882, 152185, 1470, 88945, 21106, 34533, 2200, 6, 21106, 4852, 54260, 46545, 6093, 6, 80453, 129071, 152185, 33718, 6093, 95766, 7508, 6093, 21422, 9416, 16803, 152185, 2200, 206994, 6093, 9356, 159696, 2932, 33104, 5666, 163139, 2205, 220224, 23269, 4231, 17310, 123073, 6, 101328, 61621, 4, 2200, 2808, 75230, 1982, 178748, 44779, 4, 7265, 28415, 6, 114436, 46677, 4, 7265, 28415, 1470, 75230, 2702, 8903, 506, 186955, 20260, 54260, 2882, 5, 6, 159696, 15388, 70845, 42542, 51723, 42493, 6, 225975, 1211, 4, 36324, 220224, 1211, 98478, 78278, 182261, 3056, 6235, 159696, 1211, 119055, 29771, 107581, 103023, 84475, 116486, 170355, 2808, 54260, 5, 95766, 4151, 84087, 4852, 54260, 46545, 6093, 32887, 46545, 54260, 2882, 3120, 132213, 6319, 59929, 97634, 6293, 6, 159696, 67873, 20033, 7369, 2808, 127684, 1211, 2808, 54260, 119132, 3120, 34654, 10184, 28726, 163139, 40920, 125897, 5332, 22426, 101328, 35465, 5, 13159, 3056, 6235, 159696, 1211, 1470, 9424, 54260, 2882, 2205, 178766, 77775, 2442, 7508, 69596, 46985, 44478, 187483, 6093, 53542, 159696, 2932, 17310, 81444, 2205, 4838, 46685, 125897, 4, 119055, 12483, 4151, 21422, 33104, 78653, 3056, 27702, 236376, 6235, 119718, 29766, 1211, 4838, 75386, 4838, 3131, 46545, 46711, 21527, 4, 2200, 230764, 1285, 6, 238144, 29171, 4113, 132025, 506, 141847, 6093, 3120, 4151, 21422, 9416, 16803, 152185, 9356, 159696, 3111, 23405, 506, 29771, 18406, 1285, 6, 48775, 103023, 21106, 1211, 6235, 98055, 2882, 220224, 6093, 97121, 5, 8947, 37826, 5332, 215052, 34533, 54196, 1470, 10339, 54260, 13497, 192956, 105235, 1644, 17310, 3069, 4151, 21422, 9416, 16803, 152185, 27702, 159696, 2932, 17310, 4, 119055, 13845, 107581, 37826, 4, 3069, 4231, 114436, 9424, 54260, 2882, 4, 22444, 68697, 61397, 2442, 109226, 1285, 4269, 48904, 26394, 123736, 7916, 42180, 28726, 3373, 29771, 10918, 21106, 34533, 40697, 2200, 206994, 6093, 27702, 159696, 2932, 17310, 5, 8947, 68313, 6235, 159696, 1211, 64699, 163139, 6235, 57619, 44779, 1470, 75230, 2702, 8903, 31249, 120467, 1211, 4, 95455, 6, 47351, 6, 129071, 710, 159696, 2442, 187483, 77188, 25603, 68959, 39083, 57973, 10676, 187667, 6, 73381, 13497, 44779, 7746, 4151, 21733, 53414, 177157, 22426, 40096, 13456, 7265, 21422, 9416, 16803, 40697, 29659, 25207, 1982, 109226, 5, 68313, 6, 130991, 7508, 6093, 2190, 112595, 23173, 8903, 2702, 192956, 2442, 67882, 13805, 41764, 54260, 1211, 2200, 37826, 190800, 8903, 1982, 90848, 12984, 10069, 180141, 4113, 45521, 16803, 17310, 3120, 34076, 54260, 4944, 154739, 46545, 54260, 2882, 2200, 10339, 54260, 13497, 3131, 145702, 4, 2200, 4151, 21422, 9416, 16803, 152185, 1470, 88945, 21106, 37826, 196979, 12023, 95064, 136108, 91595, 2205, 4151, 77775, 2442, 6, 48775, 103023, 21106, 6093, 27702, 159696, 2932, 17310, 5, 199145, 67882, 13805, 41764, 54260, 1211, 37826, 190800, 8903, 101296, 40920, 2200, 190800, 195054, 161577, 3069, 4231, 114436, 9424, 54260, 2882, 119718, 710, 36324, 75230, 8947, 2205, 70845, 132025, 130991, 190800, 13342, 215629, 1285, 6, 192539, 17310, 2205, 1285, 27702, 32670, 109226, 8300, 119718, 65689, 1285, 77775, 48494, 103023, 14081, 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 ]
[ 1285, 21422, 9416, 119364, 4, 220224, 23269, 6, 149364, 4852, 43178, 192956, 657, 54260, 35465, 2200, 101146, 9134, 4151, 1982, 54260, 292, 95455, 76961, 2702, 3056, 4838, 27702, 46464, 83182, 6319, 71577, 710, 21338, 74806, 710, 4944, 18415, 5, 133190, 199145, 171433, 1982, 21106, 48904, 98833, 60980, 2702, 97634, 33225, 4, 3056, 7369, 6235, 159696, 1211, 1470, 54260, 59461, 3120, 1285, 119055, 13845, 107581, 220224, 49008, 74806, 57277, 49008, 95766, 6, 17645, 119132, 6319, 75322, 6293, 3069, 235210, 12483, 7265, 67882, 13805, 41764, 54260, 1211, 4, 57973, 70845, 4151, 11556, 46545, 2882, 2200, 6235, 101296, 40920, 2865, 43178, 44779, 4, 6150, 1285, 77775, 187483, 6093, 9356, 159696, 2932, 17310, 170479, 132025, 101470, 1470, 32054, 54260, 13497, 192956, 25207, 2200, 21087, 2865, 22426, 26632, 152185, 4113, 43649, 13845, 17310, 73784, 206994, 6093, 10918, 33104, 78653, 5, 1285, 6235, 192539, 18415, 43649, 13845, 17310, 37826, 35189, 190386, 91595, 1285, 56170, 3131, 54260, 2648, 65482, 182731, 78683, 2865, 22426, 48904, 710, 13159, 4, 119055, 10705, 12065, 83182, 16932, 16175, 75230, 4852, 194734, 38054, 39083, 23173, 220224, 49008, 564, 54260, 8903, 226112, 15388, 6235, 119718, 29766, 1211, 3120, 1285, 6, 75322, 89184, 78683, 59461, 77775, 206994, 6093, 3069, 506, 13845, 33225, 95455, 187483, 141943, 4113, 141211, 9616, 5, 37729, 7508, 6093, 78956, 35189, 192956, 2442, 11211, 108968, 3120, 35189, 77775, 2442, 187483, 6093, 3131, 145702, 2205, 220075, 4, 3056, 1285, 13515, 506, 13982, 850, 6235, 119718, 29766, 1211, 4151, 2865, 91595, 123329, 1470, 54260, 5666, 21066, 24244, 2205, 10676, 98478, 3120, 1285, 11265, 1211, 2205, 41764, 14081, 119273, 71512, 5, 2200, 2205, 6, 64260, 35189, 17824, 75230, 101608, 364, 34533, 29766, 152185, 4151, 23847, 54260, 4944, 17310, 37826, 132213, 60980, 2702, 97634, 6293, 84087, 564, 54260, 8903, 226112, 15388, 4, 46590, 6235, 506, 39083, 33225, 5, 46985, 2702, 97634, 6293, 37826, 1470, 3373, 4667, 6235, 97634, 1211, 3069, 45223, 33225, 4151, 132820, 13982, 850, 4, 3069, 6, 128540, 230764, 1285, 6, 131445, 20315, 2050, 137, 62812, 2909, 7369, 37826, 220224, 6093, 7369, 16667, 2882, 2200, 6, 35596, 154197, 59929, 147502, 190800, 8903, 7916, 33716, 1285, 6, 92605, 42180, 13342, 6, 95494, 33225, 55242, 8580, 2200, 6428, 55049, 101296, 16629, 49008, 56170, 4151, 193012, 192956, 2442, 9424, 54260, 2882, 17310, 3120, 1285, 123736, 48974, 48904, 15533, 9221, 18415, 77775, 206994, 6093, 2205, 112216, 1644, 119273, 71512, 5, 159696, 1211, 6319, 59929, 97634, 6293, 3056, 158628, 1211, 4231, 29766, 98252, 130991, 3120, 220224, 1211, 564, 165592, 31212, 2205, 112216, 1644, 119273, 71512, 4, 37826, 7369, 564, 54260, 4838, 108276, 68558, 9719, 140980, 120202, 193120, 4838, 27702, 120749, 6, 159696, 15388, 4151, 6, 71804, 23269, 69355, 10676, 29434, 905, 75290, 7201, 26612, 4667, 2205, 112216, 1644, 119273, 71512, 5, 4151, 27702, 120749, 3056, 6235, 159696, 1211, 4838, 6235, 5666, 75230, 6093, 4, 7511, 2882, 6319, 54260, 1211, 1470, 54260, 75578, 21066, 4113, 4944, 192956, 2442, 5, 7369, 37826, 6, 193120, 4838, 163825, 3120, 4151, 22639, 29257, 34575, 17645, 4, 69355, 11265, 4113, 33718, 6093, 4, 3120, 220224, 123073, 5332, 88660, 113889, 2865, 40697, 2200, 6235, 39293, 1644, 95494, 23741, 192956, 116486, 130929, 51723, 5, 119718, 710, 155261, 199145, 60980 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 97634, 6293, 6, 105515, 4, 37826, 7369, 2205, 34654, 206105, 119055, 29771, 4944, 12483, 4, 199145, 7369, 37826, 7201, 23173, 1982, 48775, 40920, 2205, 112216, 1644, 119273, 71512, 4, 17824, 41595, 44779, 130170, 46464, 40920, 10676, 64769, 8580, 4, 2200, 120202, 5666, 65482, 18406, 165592, 26612, 17288, 40377, 96256, 41595, 6093, 13159, 84577, 1211, 2200, 99509, 29659, 188301, 1211, 27702, 120749, 5, 78683, 2702, 97634, 6293, 3056, 6, 47351, 40653, 8903, 8903, 1982, 114436, 108276, 68558, 212915, 5, 2205, 4151, 77775, 2442, 71180, 23741, 39293, 89930, 108276, 68558, 4, 1285, 13497, 7369, 6235, 23822, 54260, 2200, 40653, 193120, 4151, 108276, 68558, 4, 163139, 1470, 75230, 4667, 4151, 21106, 8903, 2865, 54260, 59461, 77775, 2442, 206994, 139365, 26612, 159696, 2932, 17310, 5, 1644, 29771, 62808, 163139, 110970, 12483, 10676, 15622, 44693, 23173, 125523, 657, 48904, 8903, 6, 101328, 61621, 3120, 3523, 34365, 192956, 2442, 6235, 39293, 1644, 95494, 87178, 192956, 2442, 32887, 46545, 54260, 2882, 4, 292, 220224, 1211, 15622, 105405, 192956, 2442, 1285, 76776, 2865, 152185, 6, 35596, 154197, 165592, 2050, 170479, 42493, 23050, 9719, 83182, 2882, 119055, 53414, 4, 2200, 7369, 170479, 6, 238144, 16932, 7265, 4151, 207013, 2442, 6, 114436, 46677, 160238, 39293, 64213, 220224, 1211, 141562, 40920, 1982, 23173, 4113, 187483, 6681, 4151, 77775, 2442, 218705, 182759, 44478, 2200, 187483, 6093, 25491, 159696, 2932, 17310, 5, 1982, 5, 71612, 23173, 22426, 2884, 4838, 15622, 105405, 6, 9221, 4838, 115398, 2200, 7508, 4, 304, 26612, 18279, 9424, 7682, 4231, 29766, 1054, 54260, 49008, 6, 54260, 16870, 6093, 4269, 48904, 117902, 1644, 29771, 8300, 4484, 4, 3120, 70503, 68561, 151614, 6, 18640, 69741, 448, 22518, 95766, 9424, 54260, 2882, 37729, 117902, 1644, 29771, 8300, 48011, 2200, 9934, 6, 33809, 2932, 8903, 506, 75230, 18406, 6, 8580, 8580, 6, 23173, 88680, 120749, 7682, 54260, 2882, 6, 54260, 50856, 89184, 29766, 1211, 37826, 163139, 1644, 23269, 4, 661, 33809, 120580, 12415, 29766, 4113, 4, 2200, 21422, 2882, 169550, 12415, 106, 2442, 155, 26612, 23741, 92500, 22639, 15231, 74813, 23829, 54595, 2200, 10705, 50856, 905, 6093, 118708, 26612, 21066, 2200, 82977, 6, 101328, 24152, 5, 6, 75230, 4667, 6681, 2808, 2808, 54260, 5666, 158853, 46053, 5, 56170, 23847, 13159, 4113, 1639, 2808, 13278, 2050, 3373, 895, 16932, 20033, 6, 20616, 40096, 10676, 6, 121740, 3120, 13342, 57973, 4231, 49008, 119055, 1470, 75230, 161321, 7201, 64213, 4231, 29766, 220224, 2932, 6, 75230, 1211, 6235, 119718, 39083, 2882, 1470, 54260, 37826, 6, 75230, 2442, 172060, 7501, 6255, 6235, 54745, 8248, 5666, 199887, 31249, 61621, 95494, 7201, 10918, 9416, 16803, 5, 95455, 2205, 6, 47351, 6, 4, 2702, 5, 3373, 2909, 29771, 159696, 7508, 6093, 6, 1211, 7201, 23173, 101608, 65848, 292, 95298, 42493, 6235, 159696, 1211, 2200, 6, 38054, 2882, 47890, 86764, 4, 5, 4, 16932, 13159, 84577, 29771, 2808, 5, 3373, 26, 506, 64260, 125523, 78278, 4838, 6319, 54260, 1211, 1751, 16932, 3069, 3056, 56170, 90536, 18406, 6, 75322, 54260, 1211, 87644, 4, 132213, 6235, 119718, 21292, 1211, 17824, 93704, 6235, 88917, 905, 6093, 32054, 54260, 115666, 4667, 64769, 89184, 6319, 59929, 97634, 6293, 4, 4838, 40920, 7508, 37271, 9221, 75230, 36419, 3120, 220224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29659, 188301, 10372, 60639, 2909, 6255, 56170, 39340, 34654, 6093, 15622, 105405, 6, 68558, 6, 23173, 75230, 2702, 7201, 23173, 46464, 40920, 6, 8580, 4113, 159696, 1211, 230764, 6, 19063, 26, 7501, 6235, 159696, 1211, 2200, 15622, 39083, 4838, 13159, 7508, 75230, 101608, 874, 120467, 2200, 1751, 75230, 1211, 3120, 874, 54260, 1211, 4448, 7, 19, 568, 4, 568, 5, 5, 2200, 6235, 506, 40096, 20315, 185226, 6, 75230, 4667, 152, 4231, 32206, 97634, 7201, 26, 2702, 40026, 6093, 15622, 2932, 5666, 64699, 2865, 54260, 23269, 6255, 7501, 7508, 47351, 6235, 159696, 1211, 15622, 2882, 1982, 70380, 6093, 137218, 17645, 6, 68558, 151614, 1982, 6255, 13845, 16932, 1211, 1751, 75230, 1211, 4838, 43714, 6093, 119055, 12483, 2932, 54260, 41764, 134193, 6, 8580, 23173, 14088, 47351, 6235, 159696, 1211, 2205, 220224, 6093, 6, 29766, 448, 5, 151614, 1982, 6, 101328, 61621, 2004, 168892, 3373, 26, 95766, 6235, 159696, 1211, 72788, 4484, 48775, 15388, 182731, 20260, 92500, 41764, 8903, 121865, 1211, 5, 7201, 23173, 172060, 56169, 6, 75230, 61621, 95766, 6093, 28317, 2882, 149010, 193012, 23173, 23822, 75230, 2882, 2205, 21776, 2050, 32097, 41643, 2648, 4, 36324, 52541, 22426, 2702, 3149, 5, 95766, 6, 172434, 75230, 59616, 28320, 3523, 54260, 6093, 6255, 3120, 9213, 43178, 192956, 11265, 4113, 2884, 4231, 29766, 96903, 6, 119859, 164863, 15907, 85310, 4, 6235, 39083, 13805, 10918, 5, 2808, 17310, 9424, 54260, 2882, 109226, 4151, 6, 8580, 163139, 1644, 23269, 132025, 8903, 42023, 5, 4852, 54260, 49008, 21776, 42421, 1285, 137, 8300, 54260, 2882, 155, 4838, 75903, 121865, 147502, 89184, 18406, 564, 1639, 93509, 54260, 49008, 9424, 238144, 159696, 2932, 93245, 4151, 16629, 49008, 7508, 230191, 137, 159696, 75290, 155, 10918, 17310, 47351, 3120, 3373, 5, 3373, 5, 7508, 54260, 75903, 4944, 13497, 28726, 18279, 5, 71804, 8903, 6, 183618, 5332, 16932, 152, 92500, 7508, 120467, 11265, 54260, 710, 44855, 26, 5, 133880, 710, 6, 69336, 49268, 54260, 4113, 10339, 39083, 4484, 155, 9424, 54260, 2882, 109226, 132, 69355, 15, 69355, 1285, 143628, 36326, 137, 2442, 6093, 6, 9221, 20961, 617, 21847, 54260, 4944, 8300, 54260, 46545, 220224, 49008, 1470, 75230, 4667, 4151, 16629, 49008, 4838, 3373, 4667, 77775, 12023, 104238, 2200, 564, 90848, 47750, 1211, 5, 95766, 21776, 2050, 230191, 1211, 55242, 89930, 7201, 26612, 4667, 3056, 6235, 119718, 29766, 1211, 137, 12890, 30473, 2909, 5666, 29766, 1470, 75230, 1982, 1285, 137, 88660, 16667, 15231, 34079, 42180, 3120, 66007, 155, 37826, 160751, 48775, 40920, 137, 80453, 120467, 149364, 111179, 155, 95766, 4151, 17190, 119859, 44478, 9424, 54260, 2882, 17310, 2702, 14004, 16747, 71616, 144295, 4, 37826, 8947, 95298, 4, 3120, 4151, 9424, 238144, 16932, 4852, 54260, 2882, 4, 6, 23173, 75230, 2702, 8903, 225164, 4838, 137, 35044, 37016, 155, 2205, 1285, 101251, 147713, 21106, 4113, 29434, 905, 75290, 54260, 12483, 5, 4151, 190800, 8903, 7201, 21106, 114436, 6235, 59461, 21106, 34575, 54260, 4484, 2205, 234179, 4, 66007, 4, 37826, 56170, 29659, 23173, 20911, 1285, 21776, 92605, 42180, 4, 2200, 3373, 26, 95766, 6235, 119718, 29766, 1211, 101251, 24621, 2932, 44779, 3069, 6428, 55049, 1211, 2200, 56170, 3131, 80453, 54260, 28320, 101251, 147713, 21106, 13845, 710, 16932, 40096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14303, 5, 78683, 2702, 97634, 6293, 2200, 6255, 220224, 49008, 4, 36324, 75230, 4838, 68550, 4, 6, 23173, 75230, 2702, 8903, 7201, 21106, 1211, 3120, 137, 10705, 16747, 4852, 123073, 155, 101251, 147713, 21106, 4113, 29434, 905, 75290, 54260, 12483, 2200, 20033, 57973, 6, 139449, 8248, 12984, 206994, 2205, 17190, 119859, 28726, 29434, 905, 75290, 54260, 12483, 5, 21847, 54260, 4667, 4, 163139, 1285, 137, 8300, 54260, 2882, 155, 37826, 132025, 8903, 506, 75230, 18406, 3069, 4151, 3131, 54260, 49008, 3056, 6319, 59929, 97634, 6293, 4838, 159696, 4484, 8903, 7201, 29766, 12483, 6319, 54260, 1211, 163139, 1644, 23269, 4, 2200, 7265, 220224, 1211, 137, 16803, 165592, 3131, 155, 4838, 75386, 55242, 89930, 3120, 137, 22680, 54260, 16747, 155, 37826, 7369, 8903, 4484, 90848, 15388, 187483, 5, 6255, 151614, 1982, 6235, 4484, 90848, 15388, 206994, 2205, 151614, 24621, 1644, 4, 6, 87311, 87637, 28726, 159696, 2442, 37189, 75578, 142170, 4, 2808, 75230, 6293, 4151, 193012, 192956, 2442, 143628, 86733, 9424, 54260, 2882, 17310, 137, 110129, 2648, 155, 15, 20961, 75230, 2702, 193120, 37640, 5666, 26, 2050, 139939, 88660, 2865, 131044, 3120, 4151, 22444, 35044, 141943, 152185, 193042, 10918, 21106, 20315, 87311, 53805, 40096, 152185, 206994, 6093, 186046, 2882, 54260, 247, 119055, 13845, 107581, 68313, 125523, 1112, 223229, 1211, 120202, 190135, 6235, 119718, 29766, 1211, 4, 2200, 36324, 75230, 9915, 13845, 163139, 6255, 151614, 1982, 6235, 4484, 90848, 15388, 8903, 21295, 230764, 4838, 564, 47351, 44693, 29060, 7501, 6255, 1470, 75230, 4667, 4838, 159696, 4484, 6319, 54260, 1211, 163139, 1644, 23269, 5, 7201, 23173, 4151, 58571, 89930, 9424, 54260, 2882, 4, 199145, 6319, 59929, 97634, 6293, 37826, 1751, 75230, 1211, 6428, 47351, 6235, 506, 40096, 6235, 23173, 1982, 29060, 95766, 6, 90848, 2865, 26, 2050, 29434, 905, 75290, 54260, 4, 230764, 7508, 6093, 137, 8300, 54260, 2882, 2004, 3056, 7369, 6428, 99766, 6235, 119718, 29766, 1211, 6, 119859, 69106, 117902, 172060, 44478, 4, 92500, 119055, 12483, 7369, 37826, 205026, 21776, 88660, 24621, 16747, 54196, 73784, 137, 3131, 71577, 2882, 86733, 212915, 2004, 17824, 3131, 2884, 115825, 168155, 4, 4838, 75386, 4852, 54260, 119132, 1470, 120522, 4, 37826, 18225, 205026, 87644, 26, 13456, 1470, 75230, 7201, 139449, 5, 13159, 6235, 20315, 185226, 7746, 152, 168892, 7501, 6235, 159696, 1211, 206994, 2702, 212484, 5, 564, 26, 85465, 200117, 42493, 6235, 88660, 13497, 657, 141847, 6093, 56170, 17160, 54260, 18406, 2205, 119718, 15350, 23269, 5, 151614, 1982, 6255, 3069, 132213, 26, 1211, 6, 159696, 15388, 10676, 40105, 6319, 54260, 1211, 4838, 46685, 125897, 4, 2200, 13278, 2050, 7369, 3056, 113889, 4667, 6428, 47351, 5950, 54260, 1211, 6235, 159696, 1211, 4838, 137, 23847, 127684, 155, 2205, 82977, 6, 101328, 24152, 4, 95298, 3373, 26, 506, 64260, 6, 71804, 23405, 42493, 6235, 2648, 75230, 77188, 2200, 564, 26, 85465, 200117, 3120, 70845, 6235, 4484, 90848, 15388, 3069, 8903, 3131, 93449, 4838, 7213, 136119, 23173, 18415, 27, 13159, 6235, 20315, 185226, 7746, 152, 139365, 46050, 16803, 195164, 6, 76776, 40920, 4, 2205, 91234, 4, 230764, 4838, 6, 205416, 171433, 16932, 119055, 29771, 65442, 21106, 5, 874, 54260, 1211, 64044, 24621, 8903, 1211, 3056, 241662, 9356, 29659, 226976, 3120, 1470, 387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 35596, 5, 6255, 151614, 1982, 6681, 172590, 45495, 24621, 7511, 2882, 6235, 88660, 13497, 46050, 15388, 6319, 54260, 1211, 137, 506, 64260, 13845, 155, 2205, 6, 205416, 171433, 97634, 4, 27702, 31249, 21292, 6255, 40653, 13342, 5666, 91595, 133671, 2808, 24295, 26, 2050, 119055, 29771, 65442, 21106, 5, 4838, 213909, 93704, 54260, 6093, 117902, 7972, 2702, 212915, 163139, 1644, 205026, 6, 23173, 119273, 52541, 4838, 75386, 137, 186145, 2865, 22426, 2909, 35189, 8300, 54260, 1644, 6255, 70845, 4838, 137, 85465, 136108, 657, 218241, 3373, 205416, 710, 2004, 2200, 6, 225975, 70845, 4, 36324, 7369, 170479, 223779, 2932, 48775, 215629, 3069, 60980, 2702, 97634, 7201, 26, 1211, 2205, 874, 171433, 186145, 21106, 292, 2200, 10073, 12065, 506, 2205, 4838, 117902, 2442, 193012, 23173, 14088, 151614, 1982, 6255, 3120, 132213, 26, 1211, 4151, 234221, 564, 47351, 8903, 21295, 2200, 6255, 7501, 6, 130991, 2205, 87311, 13497, 25207, 21106, 27, 28714, 9221, 2200, 220224, 1211, 32054, 75230, 4, 6, 76632, 4, 57973, 6428, 47351, 6235, 119718, 2808, 75230, 13497, 2205, 4838, 19302, 54260, 59461, 121943, 5, 6, 150839, 64260, 42493, 6235, 506, 40096, 6319, 54260, 1211, 182731, 3069, 34654, 183216, 56170, 20033, 4838, 21422, 46685, 5, 57973, 220224, 205026, 6, 23173, 54260, 5666, 139449, 3069, 7746, 4, 2200, 7369, 37826, 1751, 75230, 1211, 6235, 104149, 4, 36324, 6255, 170479, 46050, 15388, 206994, 22639, 26, 2050, 137, 4484, 65482, 35189, 6, 93704, 44478, 2909, 1470, 1470, 1470, 10069, 1751, 54260, 23269, 6, 79524, 3120, 160204, 1470, 61842, 1470, 87644, 4, 19532, 75230, 51437, 13845, 33225, 1470, 32054, 54260, 13497, 2205, 3523, 75230, 2882, 4, 4852, 18167, 84043, 55546, 220224, 1211, 6681, 1470, 240989, 1211, 292, 4269, 54260, 2882, 37729, 163139, 1470, 7508, 75230, 16932, 10339, 142429, 448, 2205, 46985, 2702, 97634, 7201, 26, 2702, 98478, 5, 78683, 2702, 97634, 6293, 37826, 6235, 506, 40096, 4838, 4269, 171127, 125897, 6, 118809, 4, 6, 47351, 1470, 88945, 26612, 17645, 6, 40096, 87311, 2702, 59919, 21660, 905, 6, 84577, 119718, 7682, 1644, 12483, 2205, 7746, 6, 64260, 1285, 81444, 4852, 125897, 1470, 88945, 21106, 34533, 40697, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 5, 10705, 16747, 4852, 123073, 16175, 40096, 13159, 292, 123736, 12415, 24621, 77775, 564, 21106, 24621, 1644, 29771, 4944, 13159, 292, 220224, 49008, 6235, 159696, 1211, 7201, 208048, 2882, 40697, 118439, 448, 4, 70503, 155, 2648, 26, 29171, 13159, 5, 220224, 6093, 6, 109995, 3120, 98478, 4, 220224, 6093, 6, 35596, 59919, 230764, 21106, 4113, 6, 147185, 4, 220224, 6093, 4269, 48904, 26394, 17190, 1982, 16667, 7916, 212484, 29771, 7916, 4113, 3056, 6235, 159696, 1211, 56170, 75290, 149364, 2882, 2205, 29434, 54260, 506, 75230, 22426, 92178, 41731, 850, 152, 137, 172039, 155, 292, 10339, 40096, 21106, 78653, 4, 137, 59247, 2884, 155, 292, 120202, 15231, 2865, 78653, 4, 2200, 137, 206821, 155, 2451, 212632, 4, 6, 94741, 119718, 49008, 4, 22753, 183216, 2200, 27702, 2932, 54260, 82576, 1211, 7746, 5, 119718, 710, 6, 29766, 448, 18225, 3056, 6235, 159696, 1211, 4, 37826, 7746, 42493, 6235, 46590, 2882, 6319, 54260, 1211, 4151, 3131, 203749, 20260, 54260, 2882, 4, 163139, 12890, 16932, 1285, 163139, 24152, 28726, 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 ]
[ 4484, 54260, 2882, 3056, 42493, 6235, 159696, 1211, 4, 3056, 18225, 6235, 159696, 1211, 99509, 7265, 151614, 55823, 3111, 23405, 4, 92500, 220224, 57973, 6, 57277, 39340, 221531, 6235, 506, 40096, 37640, 5666, 26, 2050, 212632, 4, 37640, 5666, 26, 2050, 22753, 183216, 2200, 3120, 364, 53414, 4838, 3131, 23173, 33225, 118439, 65689, 137, 225975, 1211, 155, 27, 64260, 95455, 3056, 6235, 159696, 1211, 1285, 364, 54260, 2865, 40697, 4269, 54260, 175483, 4113, 6, 118809, 6319, 59929, 97634, 7201, 26, 2702, 5, 81444, 37826, 51723, 364, 75230, 4667, 6235, 23269, 56169, 221067, 6, 206126, 4, 81444, 37826, 18225, 874, 206014, 6235, 101296, 40920, 76961, 199720, 200117, 20616, 22492, 850, 3120, 98478, 4, 81444, 3056, 1470, 88945, 21106, 78653, 6235, 159696, 1211, 1285, 364, 75230, 22426, 2882, 170355, 4667, 5, 29771, 75578, 2205, 115222, 2932, 5666, 170355, 8580, 3069, 4151, 1470, 88945, 21106, 6093, 364, 54260, 2050, 118809, 4, 3120, 220224, 23269, 15622, 105405, 101328, 61621, 2819, 10125, 710, 22426, 31212, 3069, 4151, 1751, 29631, 46598, 92500, 13982, 48904, 2932, 149364, 101328, 25207, 3120, 137, 2947, 8194, 2004, 3120, 220224, 23269, 7195, 14303, 26, 40697, 101328, 61621, 4, 3056, 6319, 59929, 97634, 7201, 26, 1211, 1470, 75230, 2702, 130991, 1751, 109636, 16932, 3069, 98478, 22639, 26, 2050, 3069, 80453, 129071, 65689, 4, 7201, 23173, 1982, 15533, 23269, 159696, 28320, 82977, 6, 101328, 24152, 5, 7369, 37826, 4838, 3373, 4667, 6, 101328, 61621, 6235, 119718, 2808, 75230, 13497, 2205, 564, 90848, 54561, 119718, 15350, 2200, 24390, 3056, 1470, 75230, 2702, 130991, 3069, 98478, 6428, 99766, 2205, 6, 4, 35189, 9424, 54260, 2882, 3120, 9424, 238144, 28320, 564, 90848, 54561, 119718, 710, 44478, 37271, 1982, 14088, 155, 2200, 3120, 4151, 4838, 122868, 63593, 54260, 59461, 36324, 75230, 61397, 25046, 114436, 137, 80453, 120467, 149364, 111179, 2004, 2200, 1285, 6, 40096, 87311, 2702, 59919, 4113, 37826, 16175, 54260, 1644, 238144, 4852, 1470, 75230, 4667, 1470, 75230, 2702, 8903, 14004, 47332, 11265, 1470, 54260, 5666, 21066, 24244, 230764, 6319, 59929, 97634, 7201, 26, 1211, 95766, 1285, 145813, 29060, 123073, 6, 101328, 61621, 5, 10069, 21776, 119718, 39083, 905, 10918, 239162, 25207, 56170, 240863, 43178, 506, 54260, 2882, 3056, 4838, 159696, 4484, 190135, 6235, 119718, 29766, 1211, 2205, 506, 41595, 6093, 139485, 13497, 2200, 2205, 10339, 29771, 35189, 139485, 13497, 3056, 6, 23173, 75230, 2702, 61397, 905, 20911, 6235, 119718, 29766, 1211, 1285, 77775, 76776, 10918, 232187, 1644, 48775, 103023, 21106, 4113, 27702, 159696, 2932, 17310, 4, 2205, 119055, 13845, 104238, 6319, 59929, 97634, 6293, 37826, 7746, 6, 23173, 54260, 5666, 8903, 119718, 29766, 33225, 144754, 26, 1211, 6, 75322, 39083, 133671, 9721, 12483, 5, 2200, 36324, 75230, 3056, 7369, 182261, 7265, 657, 54260, 1982, 2200, 98478, 56170, 97634, 1211, 2205, 22426, 21106, 119273, 71512, 4, 2205, 4151, 6235, 159696, 24152, 95494, 23741, 1211, 6319, 75322, 22426, 48904, 17645, 5, 2200, 2205, 76961, 221895, 6, 76776, 10918, 232187, 1644, 34533, 40697, 4, 84475, 21422, 9416, 16803, 13456, 2702, 29771, 10918, 21106, 34533, 40697, 130170, 23269, 2865, 109226, 5, 2648, 29771, 6, 26394, 2932, 54260, 12483, 20033, 7746, 220224, 6093, 6, 238144, 2882, 5, 81444, 6235, 7916, 49008, 20033 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7746, 163139, 35189, 6, 75322, 39083, 2205, 8300, 238144, 27702, 46464, 83182, 4113, 6, 71804, 61397, 1211, 27, 2808, 1470, 1470, 29771, 75578, 182261, 3056, 564, 54260, 219047, 1470, 17953, 19767, 5, 182261, 10339, 54260, 53414, 20033, 169550, 87644, 46985, 2702, 97634, 7201, 26, 2702, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 4, 2200, 3069, 4151, 6, 151227, 43178, 5927, 54260, 2882, 163139, 13497, 3131, 6255, 24390, 4, 220224, 1211, 32054, 75230, 4, 220224, 123073, 114955, 2200, 1470, 54260, 29171, 1644, 4, 34076, 7682, 2200, 4151, 7201, 39083, 2932, 4, 2200, 657, 29771, 62808, 506, 29771, 33225, 4, 36324, 3069, 220224, 1211, 4948, 4231, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 4, 6, 159696, 67873, 20033, 4, 220224, 23269, 133519, 2200, 32054, 54260, 13497, 4, 4852, 18167, 6, 238144, 16932, 3069, 235210, 43178, 104378, 2200, 230764, 4838, 17824, 13159, 53414, 185527, 10339, 54260, 53414, 10676, 17953, 19767, 5, 75230, 18406, 92500, 26612, 1982, 10918, 4484, 2865, 5, 193042, 119718, 31623, 16580, 26612, 119055, 99766, 3120, 87644, 2200, 32054, 54260, 13497, 2702, 29771, 10918, 23173, 34533, 40697, 4, 3523, 54260, 46545, 2882, 7746, 2205, 220224, 2190, 2648, 14004, 2200, 2190, 2648, 14004, 5, 3056, 87644, 6319, 59929, 97634, 6293, 1470, 54260, 59461, 3120, 6, 64260, 1285, 6, 90848, 4852, 125897, 6235, 23822, 54260, 4113, 4, 40653, 8903, 8903, 1982, 65482, 3373, 39083, 94741, 28320, 5, 113914, 14004, 119055, 39083, 28320, 8903, 159696, 1211, 1470, 3373, 4667, 36324, 13845, 107581, 6, 78683, 4944, 97634, 17748, 711, 28714, 9221, 6319, 59929, 97634, 6293, 3056, 4838, 223229, 87644, 2200, 6, 47351, 88771, 23822, 54260, 6093, 4, 40653, 8903, 8903, 1982, 114436, 22680, 54260, 13497, 5, 4838, 122868, 63593, 54260, 1211, 27702, 119718, 10705, 16803, 3056, 7369, 95298, 28415, 6235, 39293, 1644, 95494, 23741, 44779, 4, 6, 238144, 1644, 6235, 39293, 1644, 95494, 23741, 44779, 3056, 120522, 6319, 59929, 97634, 6293, 64699, 6, 47351, 137, 2808, 171127, 15907, 905, 42180, 155, 56170, 7746, 5, 23173, 1982, 54260, 2882, 188301, 3069, 235210, 12483, 7265, 70845, 123959, 137, 62812, 13982, 905, 75290, 54260, 6319, 75322, 22426, 54260, 1211, 88660, 2865, 131044, 2004, 85465, 200117, 6255, 6235, 506, 40096, 1285, 6235, 147713, 5927, 54260, 2882, 3069, 27702, 119718, 10705, 83182, 1211, 6319, 59929, 97634, 17748, 1470, 75230, 101608, 8903, 159696, 5666, 44779, 9183, 105405, 28726, 30750, 6, 114436, 46677, 4, 220224, 1211, 3069, 13982, 23174, 28726, 106504, 54260, 2882, 4, 220224, 1211, 5332, 47063, 9134, 3069, 564, 92605, 63593, 33225, 76961, 1751, 16932, 17310, 1211, 40611, 3069, 4151, 23847, 54260, 12984, 10676, 6, 89991, 4, 3069, 119055, 13845, 12984, 7369, 37826, 74806, 186145, 47332, 5, 7265, 220224, 1211, 9183, 105405, 192956, 2442, 6, 114436, 46677, 4, 7265, 220224, 1211, 10184, 75578, 152185, 32887, 46545, 54260, 2882, 37826, 7369, 1470, 3373, 4667, 87680, 171433, 8903, 25207, 98833, 3069, 6681, 3131, 54260, 2648, 65482, 32887, 46545, 54260, 2882, 5, 1982, 54260, 182731, 235210, 1644, 109226, 56170, 77775, 4, 84475, 21422, 9416, 16803, 13456, 2702, 29771, 10918, 21106, 34533, 13456, 21660, 159696, 38249, 4, 3056, 87644, 6319, 59929, 97634, 6293, 2190, 112595, 23173, 21847, 54260, 1982, 1982, 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 ]
[ 5, 87644, 6319, 59929, 97634, 33225, 42542, 18225, 42493, 137377, 225975, 1211, 5, 6319, 59929, 97634, 33225, 42542, 18225, 42493, 120202, 26, 22426, 23822, 26, 1211, 7265, 7213, 506, 4113, 22426, 5594, 4113, 152, 7369, 56170, 29659, 54260, 2882, 119718, 710, 46590, 4231, 114436, 42542, 2200, 6, 94741, 63020, 208879, 4, 2200, 7265, 6, 238144, 29171, 6093, 119055, 29060, 7369, 7746, 42493, 27702, 2932, 3111, 2932, 49008, 5, 37271, 168892, 119055, 13845, 3069, 1470, 54260, 4667, 1751, 133671, 6319, 59929, 97634, 33225, 6, 20971, 3056, 6235, 159696, 1211, 564, 54260, 20033, 4838, 72577, 6093, 174538, 23173, 75230, 2702, 13342, 84316, 15388, 564, 54260, 1470, 54260, 29171, 4113, 3120, 169550, 4113, 6, 88660, 147713, 1211, 206105, 81444, 44478, 56170, 1211, 137, 62812, 2909, 4852, 54260, 57973, 72577, 6235, 119718, 10705, 16803, 4, 36324, 1470, 75230, 1982, 6319, 59929, 97634, 6293, 119055, 29060, 6, 104378, 4, 119055, 29060, 8947, 220224, 16175, 54260, 6093, 6093, 88660, 119364, 5, 70845, 6, 159696, 67873, 220224, 42493, 51678, 120202, 26, 22426, 23822, 26, 1211, 7265, 4838, 12890, 119718, 120467, 27, 506, 13458, 6319, 59929, 97634, 6293, 37826, 6, 121738, 56170, 2648, 41595, 27702, 23847, 34533, 3069, 119055, 53414, 3069, 220224, 1211, 10339, 25046, 10918, 16580, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 230764, 215031, 123736, 215206, 71512, 67873, 185527, 5, 62808, 163139, 13497, 81829, 70845, 4151, 7201, 23173, 4, 125523, 84087, 4, 84087, 6, 101328, 61621, 3120, 80839, 40920, 1982, 23173, 6093, 6235, 39293, 1644, 22492, 23741, 192956, 2442, 32887, 46545, 54260, 2882, 2205, 72577, 1211, 203013, 2200, 84087, 6, 5927, 609, 3120, 220224, 1211, 10339, 26612, 123559, 4113, 5, 506, 13458, 2200, 120522, 506, 67882, 13805, 193042, 119718, 31623, 16580, 5, 3131, 5, 163139, 59461, 119718, 23173, 46598, 119055, 99766, 69355, 26612, 84514, 2808, 5332, 71577, 4944, 199145, 73095, 4269, 54260, 2882, 6, 23173, 54260, 1211, 2205, 6, 64260, 21776, 2050, 12023, 10813, 51981, 28317, 9174, 26, 6319, 59929, 97634, 17748, 17268, 7201, 10918, 4484, 6, 63188, 133671, 160751, 75230, 189583, 29771, 2932, 15, 2808, 75230, 51437, 13845, 7201, 213952, 2205, 4151, 6, 88660, 25207, 109421, 247, 6235, 156325, 6255, 9719, 4667, 182261, 2205, 4151, 1157, 8903, 6, 156325, 6, 17645, 119132, 101251, 8903, 7511, 28320, 105884, 59461, 4, 199145, 46050, 98833, 101251, 8903, 120749, 95455, 119055, 99766, 4, 6, 113889, 133324, 46598, 163139, 6235, 7511, 18415, 105884, 59461, 57973, 1751, 75230, 1211, 120202, 61397, 77188, 2200, 2808, 75230, 6293, 223779, 2442, 44779, 9424, 13845, 54260, 98833, 1285, 51963, 48277, 850, 181524, 3120, 21776, 2050, 4, 6681, 119055, 63593, 172398, 158504, 159696, 15388, 14856, 41764, 48775, 159696, 2882, 10676, 17953, 19767, 5, 68313, 6, 57277, 39340, 4, 163139, 6, 225975, 2882, 18225, 8947, 4, 4838, 12890, 35044, 6, 80453, 7682, 25207, 5, 95298, 120202, 26, 22426, 29631, 26, 1211, 7265, 2932, 29766, 219947, 3056, 81444, 4667, 5332, 22426, 13159, 7243, 1751, 54260, 4667, 5, 2808, 1470, 6, 34882, 43178, 186797, 6319, 59929, 97634, 33225, 1751, 75230, 1211, 17288, 75578, 9424, 119718, 48904, 10918, 4484, 4231, 29766, 292, 22753, 1982, 21660, 12483, 4231, 29766, 206994, 1211, 62808, 22639, 2808, 54260, 119132, 4, 2205, 137, 97634, 2932, 155, 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 ]
[ 163139, 1644, 6255, 8009, 850, 6, 225975, 1211, 4, 36324, 2190, 2648, 14004, 37826, 7369, 6, 121738, 7201, 23173, 2648, 41595, 1285, 11139, 36484, 4, 199145, 6, 64260, 1285, 1470, 54260, 5666, 8903, 235210, 13845, 18415, 8009, 506, 71180, 23741, 105235, 44478, 4, 187483, 6093, 91163, 6093, 2200, 45949, 33718, 6093, 4, 32054, 54260, 13497, 2200, 133519, 6, 226112, 15388, 70845, 81444, 130170, 5, 165354, 95298, 148620, 3496, 29766, 4, 199145, 34076, 29766, 42733, 31623, 54196, 220224, 1211, 6, 129071, 710, 119718, 131044, 2205, 4231, 65482, 8903, 13845, 95494, 23741, 192956, 27702, 159696, 2932, 109226, 4, 56170, 119055, 13845, 107581, 7369, 37826, 54803, 11211, 22426, 36326, 56170, 2648, 171127, 1211, 4, 2865, 54260, 1211, 52059, 7243, 7265, 144581, 183216, 5, 3056, 8947, 6681, 60980, 2702, 97634, 33225, 6319, 54260, 1211, 6, 116174, 7243, 5, 4269, 54260, 12483, 20033, 4852, 18167, 6, 90848, 4667, 11265, 4113, 13456, 36324, 75230, 6, 238144, 2882, 10339, 208048, 83182, 4, 2200, 292, 43449, 54260, 18406, 221067, 22680, 54260, 13497, 2200, 133519, 5, 132, 68313, 8947, 175620, 6319, 59929, 97634, 17748, 99531, 47783, 7746, 1470, 54260, 5666, 198087, 75230, 33225, 221067, 22680, 54260, 13497, 4, 2200, 199145, 46685, 5950, 7611, 216333, 4, 95298, 123736, 23741, 292, 1470, 75230, 4667, 10339, 54260, 16747, 194, 159696, 1211, 95298, 73095, 107776, 3069, 7508, 54260, 2648, 6, 159696, 15388, 220224, 1211, 6, 129071, 710, 119718, 131044, 2205, 169550, 55242, 89930, 710, 9416, 68558, 3056, 6235, 119718, 21292, 6, 95494, 61621, 6255, 241662, 120202, 1285, 7369, 16667, 18415, 56170, 2648, 171127, 1211, 220224, 23269, 56170, 35189, 108276, 68558, 4, 3373, 54260, 163139, 4838, 27702, 75322, 16932, 4, 2200, 3373, 54260, 163139, 4838, 137, 2442, 135118, 2200, 10339, 75230, 44478, 2909, 1211, 378, 711, 2442, 16870, 2882, 7746, 81444, 1470, 75230, 4667, 6, 159696, 15388, 6319, 59929, 97634, 7201, 2050, 7369, 16667, 16932, 2200, 10339, 54260, 59461, 27702, 10918, 2808, 17310, 73784, 14004, 2648, 65689, 6235, 2648, 55049, 28320, 119055, 99766, 4, 36324, 7369, 6, 149364, 4852, 171433, 42733, 31623, 54196, 7265, 7746, 10676, 6, 75322, 39083, 133671, 137, 62560, 26659, 39293, 89930, 155, 41764, 20961, 148707, 13845, 183718, 5, 119055, 29060, 4151, 1982, 54260, 32573, 14004, 220224, 1211, 3069, 4151, 87311, 49008, 4, 6150, 7369, 37826, 20315, 2050, 56170, 2648, 171127, 3069, 220224, 1211, 81444, 4151, 184639, 4, 6, 94741, 40920, 7746, 4, 1470, 75230, 7201, 13342, 506, 54260, 18406, 2205, 4151, 6, 73381, 13497, 28726, 4944, 4484, 54260, 2882, 34654, 64751, 8903, 6, 159696, 15388, 47833, 1470, 54260, 5927, 54260, 2882, 192956, 2442, 1470, 75230, 35044, 54260, 23269, 4944, 7611, 15, 95766, 4231, 29766, 62977, 125523, 4, 2205, 2442, 6093, 137, 13342, 17494, 217814, 155, 194, 2200, 36324, 75230, 1751, 75230, 1211, 206105, 92500, 8300, 119718, 48904, 10918, 4484, 4231, 29766, 163139, 6319, 59929, 97634, 6293, 119055, 87442, 92500, 6, 87311, 13497, 4, 36324, 4838, 67826, 21733, 6, 97634, 63849, 170479, 6, 23173, 54260, 23405, 87309, 26612, 40920, 119055, 53414, 2205, 4151, 3496, 26612, 64260, 710, 38596, 54260, 2882, 69355, 4151, 364, 127684, 77775, 2442, 6, 29766, 97634, 2932, 48775, 7916, 4113, 5, 5666, 54260, 1211, 92500, 26612, 1982, 10918, 4484, 3111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 43449, 54260, 47332, 7369, 6, 57277, 39340, 7501, 364, 54260, 13497, 564, 54260, 2050, 6, 87311, 49008, 2200, 6, 159696, 38249, 5, 6, 113889, 4944, 46685, 4, 119055, 77188, 35189, 30809, 506, 19084, 18279, 73418, 7265, 1285, 6, 101328, 61621, 5950, 8580, 17824, 13159, 6093, 5, 364, 54260, 13497, 3056, 4151, 55242, 89930, 1470, 23174, 112711, 64213, 3131, 75230, 1211, 874, 43375, 17160, 3120, 1285, 2376, 364, 97933, 1470, 75230, 35044, 54260, 8903, 1982, 64213, 4, 7265, 119055, 13845, 107581, 73095, 107776, 70845, 1470, 75230, 2702, 4852, 18167, 3069, 6, 48775, 214766, 12483, 5, 1751, 75230, 1211, 120202, 238197, 4151, 69355, 4, 199145, 4838, 145813, 48775, 4667, 119055, 77188, 36324, 75230, 113889, 4667, 41764, 134193, 20315, 23847, 93704, 54196, 4, 3056, 6, 64260, 215031, 3069, 29659, 183512, 4838, 19302, 10125, 21934, 56170, 1211, 55242, 89930, 2200, 6319, 29766, 87442, 29766, 5, 92500, 81444, 4667, 292, 3056, 1751, 75230, 1211, 4, 6, 57277, 39340, 220273, 7243, 29771, 6319, 54260, 1211, 6, 103457, 3069, 6, 64260, 4151, 874, 14325, 705, 39293, 12483, 20033, 4, 163139, 148620, 3373, 29771, 159696, 28320, 7201, 23173, 1982, 183512, 4, 657, 54260, 4852, 2882, 18225, 6, 101328, 6, 64260, 95455, 116486, 130929, 2050, 4, 199145, 41764, 203749, 2882, 219047, 81444, 6150, 75230, 5, 119055, 29060, 43449, 75230, 4852, 130170, 6, 47351, 206994, 6093, 874, 12666, 14325, 4, 2808, 75230, 4667, 81444, 1285, 77775, 145813, 45629, 4667, 2200, 52059, 29631, 4, 9356, 21847, 54260, 4667, 7265, 1285, 145813, 45629, 18406, 2200, 52059, 29631, 1211, 3120, 1285, 21776, 29659, 6, 117397, 29766, 131044, 6, 61541, 75290, 4, 34076, 54260, 1982, 190135, 119055, 53414, 7265, 4151, 49920, 3131, 213952, 6093, 292, 6, 159696, 67873, 20033, 241662, 115526, 17410, 57973, 4231, 65482, 224252, 2808, 69106, 4, 199145, 119055, 29060, 159308, 195107, 3120, 11265, 1470, 75230, 205416, 131044, 51678, 1470, 9416, 7916, 138194, 1211, 2200, 21776, 39478, 52541, 1285, 77775, 6, 29766, 97634, 23847, 110856, 4113, 5, 85465, 200117, 6, 195054, 54260, 35596, 6319, 59929, 97634, 7201, 2050, 15622, 5666, 13497, 4852, 13458, 15050, 5, 4838, 10339, 54260, 59461, 564, 54260, 29659, 54260, 6093, 3069, 7508, 6093, 24621, 18279, 23173, 1211, 12415, 16932, 2808, 29631, 6, 159696, 15388, 21776, 2050, 110167, 199145, 364, 186955, 1751, 75230, 1211, 564, 54260, 2050, 120202, 2932, 54260, 1211, 5, 4838, 4231, 142429, 5666, 29766, 199145, 95455, 41764, 71804, 8580, 81444, 4151, 12666, 47332, 7243, 7746, 120202, 13342, 128540, 46601, 47912, 230764, 6, 64260, 6, 148222, 41595, 6093, 13159, 84577, 4113, 6, 50647, 15050, 5, 119055, 13845, 95298, 21776, 21066, 87442, 52541, 1470, 54260, 1211, 5332, 22426, 15533, 142429, 2205, 220224, 1211, 21776, 119718, 39083, 92866, 24001, 59461, 6093, 15622, 105405, 4, 199145, 37826, 205026, 36324, 75230, 107020, 204403, 7511, 33716, 5, 2200, 95455, 3056, 78683, 2702, 97634, 17748, 564, 40096, 54260, 105330, 1211, 7746, 148620, 364, 34533, 29766, 65689, 3523, 54260, 198093, 6, 137218, 3111, 23173, 4, 66007, 4, 199145, 3056, 8903, 159696, 1211, 4151, 6, 80453, 13845, 41731, 3069, 7508, 6093, 6, 218241, 97634, 75578, 21776, 119718, 39083, 905, 42180, 292, 1285, 21776, 119718, 39083, 905, 42180, 4, 199145, 506, 64260, 5332, 57277, 17160, 54196, 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 ]
[ 200795, 206994, 6093, 874, 12666, 14325, 2205, 7508, 6093, 6, 159696, 21295, 4, 2200, 73784, 7369, 29659, 1211, 2865, 39083, 2205, 4151, 115556, 192956, 2442, 74806, 710, 4944, 18415, 1470, 75230, 2702, 8903, 119718, 29766, 34709, 2882, 78278, 1211, 147448, 1285, 148707, 22426, 12666, 40096, 215726, 3120, 115556, 37729, 115556, 2819, 119055, 10705, 107189, 101328, 49008, 2200, 107189, 101328, 49008, 4151, 7511, 35189, 710, 146873, 92500, 564, 21106, 54260, 10069, 146873, 220224, 49008, 1470, 75230, 111137, 120749, 6235, 119718, 29766, 1211, 3069, 4838, 27360, 6093, 115556, 192956, 2442, 5332, 215052, 34533, 76632, 5, 3120, 4838, 137, 238413, 56170, 6, 61541, 75290, 155, 37826, 7746, 95455, 17824, 75230, 36419, 6, 71804, 50856, 56170, 119718, 183512, 21295, 95766, 4838, 78956, 35189, 192956, 2442, 56170, 2808, 54260, 29171, 17310, 3120, 27702, 22680, 54260, 18415, 6, 61541, 75290, 4, 199145, 564, 75230, 12483, 220224, 6093, 13159, 29771, 10918, 21106, 34533, 40697, 3373, 29771, 159696, 2882, 40697, 21776, 172060, 181615, 1211, 15, 12415, 7746, 1982, 75230, 188301, 4113, 77775, 3373, 29771, 10918, 21106, 34533, 54260, 4113, 3373, 29771, 159696, 2882, 40697, 21776, 172060, 181615, 1470, 75230, 33225, 6, 238144, 28320, 117753, 2451, 8300, 119718, 65689, 220224, 3142, 119055, 10705, 81414, 10705, 2865, 91163, 213952, 6093, 3373, 29771, 10918, 21106, 78653, 230764, 4838, 55242, 152194, 60403, 3120, 7508, 6093, 7369, 2648, 4, 6, 95494, 23741, 1285, 178748, 28726, 4944, 4484, 54260, 28320, 56170, 1211, 1470, 75230, 7201, 90536, 3120, 4151, 115556, 192956, 2442, 6, 149364, 4852, 43178, 28726, 4944, 4484, 54260, 2882, 2200, 3120, 220224, 23269, 55823, 2808, 7682, 54260, 28320, 4, 236512, 220224, 1211, 6, 103828, 2884, 40653, 1285, 6, 76776, 29631, 18279, 28633, 4, 236512, 1211, 17824, 75230, 46053, 34076, 7682, 3069, 28726, 18406, 230764, 4151, 7369, 2648, 4, 2200, 17824, 54260, 2882, 3069, 1285, 27702, 218710, 109226, 56170, 4838, 56170, 2808, 54260, 29171, 16932, 96302, 15908, 54260, 2882, 2205, 1470, 54260, 1211, 17824, 75230, 101608, 34076, 7682, 192956, 2442, 18906, 22426, 32184, 5, 2808, 1470, 44458, 54260, 57619, 7682, 159696, 1644, 182261, 6, 188301, 1211, 7265, 4838, 364, 23173, 34709, 4113, 18406, 4269, 60071, 2200, 10213, 80885, 119055, 10705, 13497, 81829, 87644, 78683, 2702, 97634, 33225, 4, 2200, 220224, 1211, 32054, 75230, 2200, 114955, 4, 3069, 220224, 1211, 10339, 25046, 10918, 152194, 1211, 4231, 29766, 5, 220224, 2882, 203013, 4, 92500, 17190, 47332, 125523, 657, 48904, 8903, 6, 101328, 61621, 99509, 7265, 6, 129071, 710, 119718, 131044, 56170, 4838, 1751, 114436, 6093, 6, 159696, 21295, 711, 1982, 5, 4231, 5, 6, 149364, 152099, 16932, 2648, 29771, 4, 6428, 99766, 2200, 2190, 107182, 14088, 6, 5, 6, 5, 12483, 874, 26, 4852, 39083, 205026, 129165, 15388, 4, 199145, 3056, 1470, 55242, 89930, 2702, 137, 114436, 46677, 6, 24846, 119055, 39083, 2882, 168892, 34076, 54260, 4667, 6235, 35596, 59919, 2882, 152, 292, 137, 84514, 132213, 60980, 2702, 97634, 6293, 2909, 84514, 132213, 6319, 59929, 97634, 6293, 37826, 6319, 54260, 5666, 2865, 39083, 6319, 54260, 1211, 9424, 54260, 2882, 42493, 4, 43649, 188301, 6, 94741, 63020, 6093, 5332, 22426, 13159, 132025, 101328, 15388, 4, 5332, 22426, 13159, 4151, 25491, 22426, 1211, 4, 2200, 3069, 4151, 51172, 22426, 1211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3056, 81444, 6150, 75230, 84087, 152, 1470, 564, 167622, 29060, 4, 1470, 6681, 74004, 17017, 17310, 4, 47833, 5332, 215052, 37016, 116105, 119718, 7265, 23174, 4, 1470, 657, 37016, 42180, 4, 1470, 4269, 60071, 4, 1470, 7213, 6293, 125523, 20961, 7611, 9616, 4, 1470, 7213, 6293, 3120, 19532, 8580, 9616, 292, 2200, 230764, 5950, 8580, 3056, 172590, 6, 61397, 29060, 161829, 5, 84514, 60980, 2702, 97634, 6293, 3056, 81444, 4, 87644, 60980, 2702, 97634, 6293, 3056, 6428, 99766, 4, 87644, 60980, 2702, 97634, 6293, 3056, 2648, 29771, 2190, 107182, 14088, 5, 84514, 60980, 2702, 97634, 6293, 107776, 42493, 133190, 364, 53414, 2200, 6, 104149, 4, 133190, 7369, 657, 54260, 98833, 1470, 75230, 4667, 3069, 72649, 84577, 4, 45223, 23741, 6, 21106, 54260, 1211, 2200, 67882, 40920, 1470, 75230, 4667, 221895, 3069, 45223, 33225, 5, 119055, 12483, 87644, 6319, 59929, 97634, 6293, 1982, 26612, 238144, 4852, 2882, 7746, 2205, 1470, 364, 75230, 4852, 4, 43649, 75230, 16803, 18225, 7746, 1751, 75230, 1211, 6, 68558, 4, 6150, 114643, 28714, 3056, 7369, 42493, 130991, 34076, 26632, 6150, 75230, 6, 5, 6, 5, 6, 5, 25491, 8903, 105405, 87644, 60980, 2702, 97634, 6293, 78891, 39083, 1470, 163139, 35189, 29659, 104274, 84475, 6235, 2932, 59461, 3131, 145702, 292, 26394, 3131, 22426, 710, 21295, 7746, 7369, 29659, 182261, 564, 54260, 70845, 1285, 6, 114436, 46677, 4, 230764, 3069, 2384, 107581, 21292, 21776, 2050, 137, 40714, 22492, 2909, 20961, 7611, 9616, 292, 95455, 3056, 4151, 51915, 2200, 7508, 6093, 6, 135249, 5, 7508, 120467, 3056, 2205, 220224, 1211, 564, 137119, 5, 2648, 120467, 220224, 49008, 220224, 23269, 147582, 21847, 12483, 4, 7265, 19532, 8580, 9616, 123736, 18415, 63532, 7369, 5, 4852, 54260, 188301, 32887, 46545, 2205, 6, 92605, 42180, 2702, 4, 119055, 13845, 107581, 57973, 42493, 6319, 54260, 1211, 1285, 25207, 146873, 1751, 54260, 14540, 144754, 19532, 8580, 9616, 4, 220224, 49008, 220224, 564, 54260, 70845, 42493, 28415, 163139, 4838, 174538, 3069, 4151, 5666, 216510, 1211, 4852, 54260, 6681, 19532, 155, 1211, 9616, 6, 5, 6, 5, 6, 5, 84514, 60980, 2702, 97634, 6293, 3056, 1470, 7265, 97594, 2648, 2200, 47833, 1470, 75230, 7201, 1982, 75230, 6093, 3120, 6681, 3131, 54260, 2648, 65482, 224252, 15907, 905, 42180, 2702, 4, 95298, 6255, 34076, 75230, 1982, 6319, 75230, 2050, 21422, 564, 54260, 87644, 6319, 59929, 97634, 7201, 26, 1211, 56170, 101470, 1285, 221895, 224252, 15907, 905, 42180, 2702, 28415, 3944, 30750, 2200, 117578, 13159, 163139, 4231, 5, 657, 5, 41764, 71945, 9721, 5, 19251, 1470, 5, 3523, 5, 1470, 5, 10339, 5, 84514, 60980, 2702, 97634, 6293, 3056, 6235, 159696, 1211, 4151, 184639, 3069, 6, 68566, 16747, 12483, 1470, 137, 23822, 54260, 2648, 9721, 35596, 3131, 155, 95766, 155787, 5, 44917, 8300, 5, 19532, 1982, 5, 6681, 12890, 16747, 5, 5950, 54260, 1211, 1470, 55242, 89930, 4, 37826, 7369, 6235, 50856, 710, 16747, 29060, 1470, 137, 39293, 89930, 13458, 35596, 3131, 2004, 2200, 7369, 10184, 21295, 7746, 6235, 506, 75230, 18406, 4, 199145, 7369, 3056, 6235, 159696, 1211, 4151, 184639, 3069, 68566, 16747, 1211, 1470, 137, 23822, 54260, 62812, 35596, 3131, 155, 6681, 119055, 13845, 107581, 4151, 155787, 5, 44917, 8300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19532, 1982, 5, 6681, 1982, 183512, 204982, 14004, 56169, 1470, 159696, 4484, 6150, 75230, 84087, 90709, 850, 4, 9747, 36324, 13845, 107581, 9721, 35596, 3131, 13159, 3069, 17824, 24295, 35465, 2205, 87680, 23822, 54260, 150715, 5, 84514, 60980, 2702, 97634, 6293, 3056, 32887, 46545, 230764, 51963, 32054, 171433, 28320, 4, 95298, 3120, 21776, 2050, 137, 13458, 35596, 3131, 155, 23269, 63532, 7369, 6319, 54260, 5666, 2865, 39083, 42493, 19532, 137377, 220224, 1211, 1470, 75230, 2932, 5, 95455, 3056, 220224, 1211, 143064, 164461, 4, 2200, 42493, 1470, 54260, 1211, 6, 87311, 10125, 64260, 6, 57277, 39340, 4151, 7201, 23173, 4151, 9721, 35596, 3131, 1470, 75230, 2702, 8903, 13982, 93449, 220224, 1211, 4838, 59461, 39340, 3111, 23405, 2200, 120202, 95494, 8300, 17310, 3069, 87644, 6319, 59929, 97634, 6293, 5, 168892, 163139, 13497, 3131, 70845, 4, 564, 54260, 4151, 6235, 147713, 5927, 54260, 2882, 4, 292, 6, 101328, 61621, 2200, 6, 101328, 61621, 4, 119055, 13845, 107581, 170479, 1211, 24390, 208879, 10676, 55242, 22849, 1211, 15622, 105405, 90709, 4, 107020, 109636, 2882, 2200, 32054, 54260, 2648, 2205, 220224, 1211, 187483, 5, 2808, 54260, 1211, 92500, 5666, 54260, 112690, 16580, 5, 6, 137218, 114778, 29771, 119718, 710, 48253, 28714, 9221, 6319, 59929, 97634, 6293, 292, 10339, 25046, 10918, 4484, 4231, 29766, 4231, 17310, 8300, 238144, 92500, 5666, 54260, 112690, 16580, 7201, 10918, 4484, 4231, 29766, 3056, 1470, 163139, 40920, 123329, 120202, 117260, 2882, 2205, 10676, 98478, 3120, 1470, 96302, 81829, 5, 10339, 25046, 10918, 4484, 4231, 29766, 3056, 4151, 107189, 29659, 54260, 1211, 2205, 10676, 98478, 69355, 1470, 54260, 119132, 4, 119055, 12483, 7369, 107776, 19532, 54260, 1211, 2205, 4151, 60980, 18415, 2932, 29766, 17645, 3120, 34654, 4, 7265, 119055, 13845, 107581, 51723, 42542, 7746, 1751, 75230, 1211, 15622, 203387, 8632, 220224, 1211, 5, 4151, 115556, 119055, 77188, 19024, 1211, 6235, 4852, 21660, 16932, 4, 6319, 13845, 16932, 4, 25491, 23269, 63532, 6, 74004, 18406, 28415, 123736, 12890, 87442, 710, 119718, 74, 220224, 23269, 6681, 143409, 12483, 119055, 53414, 219539, 135118, 16932, 4, 220224, 1211, 125942, 710, 119718, 131044, 292, 1470, 54260, 23405, 79238, 144532, 33225, 5, 13342, 10339, 25046, 10918, 4484, 4231, 29766, 4, 119055, 12483, 18225, 17806, 20911, 98252, 230764, 10676, 6, 159696, 2932, 3120, 98478, 4, 199145, 51723, 3056, 1751, 75230, 1211, 190800, 8903, 185337, 12483, 4, 9356, 99176, 47332, 18225, 34654, 107020, 22426, 15096, 46053, 3120, 15622, 105405, 123736, 23741, 7265, 3149, 33716, 506, 5, 874, 26, 99176, 47332, 4, 6150, 119055, 39083, 2882, 18225, 182261, 9356, 141353, 23741, 190800, 28714, 18406, 10676, 55242, 22849, 1211, 6, 159696, 2932, 69355, 132025, 506, 75230, 1982, 6, 68558, 4, 119055, 39083, 2882, 18225, 6235, 22492, 183216, 7265, 1470, 28415, 7544, 905, 54343, 26, 10069, 15388, 4, 19302, 161459, 1211, 2200, 2808, 75230, 2702, 8903, 25207, 30741, 28320, 81414, 2882, 5, 84514, 60980, 2702, 97634, 6293, 95298, 4, 34076, 75230, 1982, 6255, 4, 147062, 230764, 220224, 1211, 1751, 75230, 1211, 120202, 8903, 185337, 65482, 2050, 6, 159696, 81371, 2882, 17806, 38249, 7265, 69741, 23093, 5, 220224, 23269, 6, 125942, 710, 119718, 131044, 1211, 37826, 7369, 64699, 47783, 132025, 8903, 159696, 16747, 96256, 75230, 6293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3523, 34365, 192956, 9424, 159696, 38249, 5, 220224, 57973, 3069, 211630, 5666, 190135, 1285, 224252, 15907, 905, 42180, 2702, 4, 6681, 159696, 1644, 107581, 7369, 3056, 6235, 159696, 1211, 32887, 46545, 4, 2200, 1470, 75230, 4667, 7369, 5950, 54260, 1211, 37826, 6235, 36326, 22426, 2882, 3069, 211630, 20260, 54260, 2882, 69355, 220224, 1211, 32887, 46545, 54260, 2882, 5, 230764, 10676, 6, 225975, 1211, 8009, 850, 7508, 6093, 107020, 109636, 2882, 2200, 1285, 40653, 8903, 219537, 54260, 2882, 4, 144754, 119055, 13845, 107581, 7369, 6, 105515, 220224, 1211, 187483, 5, 4944, 64260, 3131, 10339, 25046, 10918, 4484, 4231, 29766, 4, 3056, 87644, 60980, 2702, 97634, 6293, 6, 90848, 4667, 6681, 90536, 18406, 4231, 17310, 5, 220224, 1211, 15622, 105405, 192956, 2442, 10339, 54260, 6093, 3056, 42493, 6681, 117397, 77188, 6235, 119718, 29766, 1211, 152, 220224, 23269, 6, 125942, 710, 119718, 131044, 1211, 4, 123736, 23741, 107020, 172060, 162493, 119718, 4, 57973, 125523, 42493, 6681, 1644, 29766, 1211, 220224, 6093, 15622, 105405, 28726, 12984, 107020, 109636, 2882, 2819, 220224, 23269, 1470, 109636, 15231, 28320, 26394, 119718, 162785, 1211, 7746, 7265, 26, 1211, 6, 185337, 3120, 98478, 5, 4852, 39083, 87644, 60980, 2702, 97634, 6293, 6681, 17160, 54260, 18406, 4231, 17310, 5, 170479, 7369, 1470, 75230, 4667, 6, 238144, 16932, 7746, 15864, 18406, 3523, 34365, 44779, 6681, 4231, 65482, 9424, 159696, 38249, 4, 119055, 13845, 107581, 220224, 49008, 70845, 143064, 2200, 16175, 54260, 6093, 5, 6, 238144, 1644, 123736, 65848, 32887, 46545, 4484, 54260, 2882, 119055, 29060, 1470, 75230, 7201, 163398, 220224, 1211, 15622, 105405, 2200, 9721, 54260, 183216, 70845, 1285, 3069, 211630, 20260, 54260, 2882, 4, 119055, 13845, 107581, 6093, 8248, 40920, 5, 2865, 5, 143064, 212915, 21106, 18415, 6, 50647, 15050, 2200, 4838, 27702, 68566, 2702, 17310, 14303, 4667, 4838, 55242, 21295, 65482, 2050, 3069, 7201, 21106, 4, 199145, 6255, 151614, 1982, 6235, 35596, 59919, 2882, 34654, 6, 48904, 39340, 18415, 56170, 1211, 55242, 89930, 81829, 137, 28726, 13805, 7682, 68558, 2004, 2200, 4151, 113889, 4667, 7746, 6235, 226112, 33225, 7265, 32054, 54260, 13497, 132213, 6319, 59929, 205416, 4, 37826, 7369, 56170, 20033, 1470, 75230, 111137, 130929, 16932, 2882, 6, 148222, 41595, 6093, 13159, 84577, 4113, 6, 50647, 15050, 3120, 178766, 564, 54260, 2648, 16667, 15622, 105405, 4, 3120, 178766, 4113, 34072, 141943, 29789, 23173, 1211, 4, 3120, 6, 109636, 16932, 155073, 2205, 66007, 78278, 82977, 6, 101328, 24152, 2205, 61540, 5, 2205, 6, 109636, 16932, 155073, 4852, 54260, 49008, 20033, 6235, 29659, 226976, 3069, 235210, 12483, 2205, 6319, 75322, 6293, 56170, 4151, 207013, 2442, 196511, 292, 41764, 29631, 3069, 119718, 53414, 37640, 66293, 9424, 23173, 65689, 21776, 163177, 448, 4, 56170, 4151, 27702, 22680, 54260, 2808, 17310, 3120, 1285, 130170, 136108, 7682, 16932, 91595, 212484, 4113, 4, 44064, 2205, 9424, 238144, 27702, 46464, 83182, 4113, 6, 71804, 61397, 1211, 4, 95298, 81444, 4667, 56170, 54745, 112304, 13845, 18406, 8300, 159696, 4484, 27, 7369, 4, 6319, 59929, 97634, 6293, 4, 130170, 17824, 40096, 13159, 2205, 137, 80453, 16870, 119718, 23173, 15907, 13845, 7511, 6, 74004, 144581, 905, 153222, 142170, 2909, 92500, 6255, 130170, 17824, 40096, 13159, 2205, 137, 149364, 13159, 15350, 76776, 137218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29631, 101296, 2004, 101251, 8903, 59919, 2205, 6428, 37271, 22426, 21106, 26612, 64213, 2909, 95298, 6, 113889, 133324, 46598, 163139, 20033, 220224, 49008, 6235, 159696, 1211, 6235, 8300, 119718, 2808, 109226, 3069, 8248, 12984, 44438, 35044, 22680, 54260, 123073, 119055, 2808, 75230, 5666, 109226, 4, 37826, 219047, 4151, 7213, 215052, 21106, 6, 238144, 16932, 3069, 235210, 141847, 87309, 26612, 40920, 2205, 96951, 6, 101328, 24152, 4, 2205, 91234, 4, 2205, 4151, 77775, 2442, 71180, 23741, 39293, 89930, 108276, 68558, 4, 657, 218241, 21106, 19251, 5, 7369, 4, 78683, 2702, 97634, 6293, 4, 56170, 17160, 54260, 47332, 7265, 220224, 1211, 1470, 88945, 21106, 56170, 7508, 6093, 206994, 6093, 27702, 159696, 2932, 17310, 4, 2200, 168892, 6, 75290, 7746, 120202, 3069, 4151, 78278, 23269, 2702, 159696, 21295, 5, 95298, 125523, 4838, 9424, 238144, 28320, 120202, 3131, 54260, 2648, 3120, 4838, 119859, 57619, 1211, 6, 59919, 21338, 6, 29766, 506, 88917, 77188, 292, 107776, 4838, 3069, 7201, 21106, 2200, 9721, 54260, 23405, 2882, 219047, 163139, 35189, 13342, 235210, 12483, 37729, 874, 54260, 23269, 137, 1982, 42695, 364, 39293, 89930, 36326, 6, 50647, 15050, 155, 199145, 6255, 151614, 1982, 3069, 8903, 3131, 93449, 7201, 23173, 1211, 17190, 13805, 7682, 68558, 5, 56170, 20033, 6, 70380, 166664, 1644, 29771, 33225, 163139, 10069, 76961, 40653, 28726, 1982, 109226, 3120, 874, 54260, 1211, 15622, 105405, 220224, 49008, 26612, 6, 88660, 3131, 2865, 23173, 4, 95298, 7369, 4, 32054, 54260, 13497, 60980, 16803, 29766, 4, 3056, 56170, 90536, 18406, 230764, 220224, 1211, 117902, 119364, 163139, 26612, 6235, 23822, 54260, 6093, 3373, 39083, 2648, 40096, 4, 2200, 7508, 54260, 2648, 188301, 7265, 70845, 6, 159696, 8903, 1211, 220224, 23269, 7369, 2808, 127684, 109226, 78278, 35189, 141879, 2442, 9424, 54260, 2882, 4, 55242, 6255, 4, 95455, 220224, 1211, 15622, 105405, 192956, 2442, 4269, 54260, 16803, 2200, 6, 114436, 46677, 9213, 20961, 24390, 42493, 56170, 3131, 119718, 10705, 16747, 1211, 4, 2200, 4151, 364, 21106, 75578, 6, 101328, 17800, 88917, 77188, 3120, 220224, 1211, 98478, 2808, 88680, 4838, 75386, 4838, 6, 119859, 129891, 9721, 75230, 4852, 192539, 2200, 20632, 109316, 75578, 6681, 4151, 23050, 39293, 139962, 145702, 4, 206994, 139365, 26612, 159696, 2932, 17310, 2200, 56170, 3131, 54260, 2648, 65482, 221067, 6319, 54574, 17645, 32887, 46545, 54260, 28320, 5, 6, 23173, 4, 3069, 168892, 27702, 68566, 2702, 364, 23173, 10918, 4484, 874, 54260, 1211, 32054, 54260, 13497, 2200, 15622, 105405, 84514, 4, 132213, 10676, 4852, 54260, 1211, 836, 710, 29766, 133671, 15622, 44693, 54260, 4, 2200, 6255, 151614, 6293, 4, 95455, 6255, 119055, 13845, 4151, 28726, 18406, 2200, 4944, 61722, 1470, 75230, 4667, 70845, 3069, 27702, 68566, 46053, 3069, 220224, 1211, 4948, 710, 29766, 133671, 15622, 44693, 54260, 5, 292, 6255, 163139, 13497, 3131, 70845, 2808, 75230, 4667, 4, 36324, 7369, 170479, 2205, 33960, 12984, 19532, 75230, 2702, 8903, 18406, 10676, 6, 71804, 23405, 8903, 22426, 71804, 198093, 137, 229340, 6, 159696, 15388, 55242, 4113, 155, 144754, 1211, 564, 101328, 2932, 48775, 7201, 65689, 17190, 13805, 7682, 68558, 4, 119055, 10705, 6255, 151614, 6293, 1470, 75230, 4667, 4, 36324, 6255, 119055, 13845, 6428, 99766, 6235, 7916, 49008, 22426, 1644, 47351, 56170, 874 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23269, 14856, 11556, 23173, 1211, 27, 144754, 78956, 35189, 28726, 12984, 2200, 32054, 54260, 13497, 28726, 12984, 4269, 60071, 4, 2865, 5, 143064, 212915, 4, 6, 50273, 75230, 68959, 710, 191263, 5, 4667, 2442, 54260, 92500, 5666, 54260, 57619, 7682, 23741, 25603, 89930, 164467, 3120, 37271, 97634, 2932, 155, 1982, 26612, 23847, 34533, 6, 88660, 28726, 8903, 2200, 87644, 28714, 9221, 6319, 59929, 97634, 6293, 3069, 220224, 1211, 836, 710, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 6, 21106, 96743, 54260, 119132, 3120, 4151, 71180, 23741, 39293, 89930, 18906, 22426, 32184, 3120, 6, 5, 97634, 2932, 155, 92500, 4838, 75386, 1054, 54260, 2702, 80453, 48350, 15435, 35596, 69355, 4151, 77775, 2442, 71180, 23741, 39293, 89930, 108276, 68558, 5, 657, 218241, 21106, 19251, 5, 92500, 6, 75230, 5666, 29659, 1470, 30682, 657, 48904, 8903, 101328, 61621, 3120, 80839, 40920, 1982, 23173, 6093, 18415, 46545, 54260, 2882, 1470, 75230, 156325, 46711, 54260, 10069, 9416, 171433, 34533, 65689, 6235, 94114, 2200, 2808, 75230, 6293, 76961, 221895, 6235, 39293, 1644, 95494, 23741, 192956, 2200, 116486, 23847, 13159, 710, 159696, 160751, 161577, 5, 119055, 13845, 4944, 48350, 54260, 49008, 70845, 143064, 2200, 16175, 54260, 6093, 92500, 3069, 119055, 13845, 107581, 7369, 163139, 2648, 107182, 220224, 1211, 6, 114436, 46677, 2200, 137127, 4113, 40653, 8903, 219537, 54260, 2882, 5, 75230, 2882, 78956, 35189, 28726, 18406, 4269, 60071, 5, 710, 156562, 6, 137218, 55823, 153222, 111996, 47351, 4484, 23173, 1644, 6, 88660, 164863, 238144, 1211, 36419, 25616, 29060, 23173, 1982, 26612, 68566, 2702, 17310, 3120, 1285, 14856, 4944, 48904, 40697, 54745, 7201, 23173, 2882, 96302, 2702, 3120, 137, 97634, 2932, 155, 13342, 4151, 6235, 28726, 8903, 5927, 54260, 2882, 3120, 32054, 54260, 13497, 2200, 90284, 35189, 132213, 6319, 59929, 97634, 17748, 10339, 25046, 10918, 16580, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 4, 199145, 119055, 77188, 230764, 215031, 1470, 54260, 2932, 76776, 33716, 133671, 185527, 6235, 7201, 54260, 77188, 4, 37729, 23173, 75230, 2702, 8903, 18406, 4838, 15622, 17160, 6, 235210, 22849, 31212, 4, 163139, 13497, 81829, 20033, 4, 1285, 206994, 6093, 3120, 1285, 14856, 4944, 48904, 40697, 20315, 22426, 23173, 2882, 96302, 2702, 2205, 137, 97634, 2932, 2004, 292, 1285, 41764, 25207, 35044, 54260, 2882, 4, 48706, 123073, 64260, 54260, 149364, 2702, 2200, 874, 125563, 93497, 292, 159696, 1644, 107581, 206994, 1211, 7265, 70845, 3069, 235210, 12483, 56170, 1285, 141879, 729, 4231, 29766, 4, 6, 73381, 35596, 32792, 1470, 75230, 2702, 13342, 13982, 133671, 70845, 178766, 4838, 59461, 39340, 3111, 23405, 187055, 72577, 1211, 32054, 54260, 13497, 2200, 6, 88660, 28726, 8903, 5, 20033, 151614, 33225, 4, 36324, 6093, 119055, 29060, 7265, 4151, 207013, 2442, 6, 114436, 46677, 2200, 40653, 8903, 219537, 54260, 2882, 160238, 2882, 39293, 64213, 56170, 657, 48904, 8903, 101328, 61621, 220224, 23269, 3523, 34365, 192956, 32887, 46545, 54260, 28320, 202229, 364, 104383, 4, 3373, 54260, 1470, 75230, 33225, 46711, 54260, 10069, 9416, 171433, 34533, 65689, 92500, 3373, 54260, 230764, 76961, 221895, 163139, 40920, 125897, 160751, 161577, 5, 144754, 78956, 35189, 7972, 12984, 6, 60071, 4, 7201, 29766, 29659, 54260, 6093, 37640, 66293, 6, 80453, 13159, 68550, 7508, 54745, 22426, 23173, 2882, 96302, 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 ]
[ 6, 50273, 5, 10184, 20260, 5, 7201, 29766, 29659, 54260, 6093, 37640, 66293, 48706, 123073, 29771, 57277, 710, 22426, 54745, 22426, 23173, 2882, 96302, 292, 6, 48253, 5, 6, 211630, 112452, 5, 7201, 29766, 29659, 54260, 6093, 37640, 66293, 14856, 710, 164461, 54745, 22426, 23173, 2882, 96302, 292, 6, 50273, 5, 43449, 40096, 5, 5666, 5, 6, 23173, 149211, 69355, 137, 710, 65482, 193012, 155, 163139, 1644, 23269, 41387, 4113, 133519, 37640, 66293, 137, 28714, 9221, 60980, 2702, 97634, 6293, 15622, 44693, 54260, 224220, 131044, 155, 35189, 506, 158291, 213952, 47833, 1470, 54260, 100863, 69859, 17310, 3069, 22518, 54260, 18406, 5332, 22426, 13159, 6, 159696, 15388, 874, 54260, 1211, 9183, 105405, 22680, 54260, 13497, 2200, 87644, 4, 6235, 156325, 6255, 7746, 2205, 1470, 874, 142429, 59461, 6681, 147713, 5927, 54260, 2882, 152, 8947, 119718, 710, 21295, 7746, 22518, 54260, 1982, 12483, 1470, 3373, 4667, 6, 159696, 15388, 4231, 114436, 119055, 10705, 83182, 28726, 75578, 9424, 54260, 2882, 3120, 1285, 6, 101328, 61621, 966, 2947, 9016, 4, 119055, 12483, 1285, 137, 2702, 54260, 2050, 155, 25491, 159696, 3111, 23405, 3056, 6235, 159696, 1211, 2205, 99509, 1211, 6, 185337, 4, 2200, 6255, 7265, 46985, 2702, 97634, 33225, 57973, 3069, 74004, 51723, 7265, 23269, 65285, 2882, 6681, 4151, 81444, 4852, 161459, 9356, 159696, 2932, 17310, 5, 2808, 75230, 6293, 874, 54260, 1211, 105687, 1644, 3056, 19024, 1211, 1470, 75230, 2702, 8903, 145168, 1211, 3069, 6, 226112, 15388, 34654, 6681, 62067, 119718, 99766, 28726, 106504, 54260, 2882, 6681, 10184, 28726, 187483, 1211, 5, 6255, 7501, 6235, 159696, 1211, 4151, 137, 64044, 62067, 119718, 99766, 28726, 75578, 105884, 125942, 29766, 155, 3120, 4151, 137, 7201, 39083, 13805, 67826, 24621, 2004, 199145, 37826, 6235, 2865, 54260, 13497, 4, 4151, 137, 4852, 45631, 155, 105884, 92605, 2442, 205416, 6, 5, 6, 5, 6, 5, 15, 64044, 3373, 54260, 159696, 1644, 104238, 5332, 109184, 3069, 4151, 167048, 141847, 6093, 9424, 43178, 96626, 4, 7501, 6255, 2181, 8903, 159696, 1211, 17824, 54260, 2882, 3069, 137, 30473, 64213, 155, 2205, 23050, 7201, 43178, 5666, 5666, 54260, 16, 2819, 1470, 133880, 10676, 7501, 6255, 125523, 1470, 75230, 4667, 8903, 159696, 1211, 4151, 132025, 91163, 6093, 3120, 10676, 137, 1982, 29771, 17645, 119718, 29771, 710, 123736, 65848, 93704, 2004, 2200, 874, 54260, 187483, 3056, 8903, 159696, 1211, 3069, 13342, 23847, 54260, 28320, 51963, 3523, 75230, 46545, 4113, 6, 74004, 18406, 6681, 4151, 55242, 22849, 73215, 75230, 1211, 4, 6, 238144, 1644, 18225, 37826, 4852, 18167, 19024, 1211, 6235, 120749, 230764, 117902, 2932, 90848, 51723, 5, 95298, 1285, 1751, 159696, 2442, 123073, 2200, 125523, 28415, 6681, 62067, 119718, 99766, 192956, 25207, 187483, 874, 54260, 23269, 3056, 2205, 1470, 6235, 119718, 710, 101608, 9424, 54260, 2882, 6235, 159696, 1211, 4, 3069, 1982, 54595, 29766, 8903, 1211, 169550, 2190, 17017, 43178, 203387, 29434, 905, 75290, 54260, 7265, 1470, 137, 26217, 16932, 121943, 2004, 71180, 23741, 4, 22426, 2808, 22426, 9221, 2200, 87680, 3523, 75230, 46545, 4113, 156550, 448, 5, 92500, 6255, 4151, 87311, 1211, 205026, 182261, 4, 163139, 87644, 60980, 2702, 97634, 6293, 3056, 3069, 219047, 19024, 1211, 6, 130991, 3120, 6, 75578, 10069, 153222, 119718, 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 ]
[ 2200, 7369, 37826, 7746, 34076, 54260, 4667, 6, 139449, 3069, 4151, 187483, 144754, 47833, 1470, 75230, 101608, 8903, 238144, 5666, 28726, 18406, 6, 35596, 154197, 54595, 2050, 2200, 9721, 12483, 5, 7369, 37826, 34076, 54260, 4667, 40653, 139449, 1285, 6681, 62067, 119718, 99766, 28726, 4944, 4484, 54260, 2882, 6681, 137, 10705, 16747, 168155, 29434, 905, 75290, 54260, 2004, 119055, 13845, 107581, 37826, 7746, 8903, 17268, 49008, 2205, 1470, 19302, 54260, 1211, 67826, 69801, 230764, 1470, 564, 75230, 20315, 2050, 4, 7369, 23269, 8580, 2205, 16888, 109636, 710, 218241, 5, 1285, 65285, 2882, 6428, 99766, 37826, 64699, 51963, 2865, 39083, 6235, 141353, 23741, 6235, 97634, 1211, 119055, 53414, 564, 54260, 5666, 115536, 5, 2200, 6255, 8903, 20315, 20260, 4, 163139, 1470, 54260, 5666, 2865, 39083, 37826, 5332, 22426, 13159, 37729, 1470, 3069, 145168, 7746, 40653, 8903, 75290, 2882, 1470, 657, 29771, 2865, 22426, 144754, 115222, 90848, 149311, 230764, 1285, 71180, 23741, 2200, 8947, 3056, 6235, 119718, 29766, 1211, 1470, 22518, 29111, 6, 5, 6, 5, 6, 5, 2200, 6255, 165354, 6, 17645, 119132, 6, 87311, 96302, 6319, 54260, 5666, 2865, 39083, 42493, 6681, 8903, 46053, 4, 163139, 60980, 2702, 97634, 6293, 37826, 19532, 33104, 16932, 23269, 4944, 71577, 2882, 3120, 7746, 1285, 19302, 54260, 35189, 4, 1470, 54260, 57619, 15096, 79238, 1211, 95455, 10339, 54260, 6093, 4, 2200, 20033, 57973, 4151, 113889, 4667, 6681, 188301, 2882, 15864, 18406, 1285, 3523, 75230, 46545, 4113, 116486, 21733, 79100, 42180, 6, 5, 6, 5, 6, 5, 5332, 22426, 13159, 163139, 37729, 6, 123844, 220224, 49008, 20033, 4231, 65482, 112389, 2882, 42493, 4151, 29659, 93449, 84475, 6681, 13458, 35596, 6235, 119718, 29766, 1211, 6, 5, 6, 5, 6, 5, 92500, 6255, 4151, 87311, 1211, 205026, 1470, 75230, 4667, 6, 159696, 15388, 10676, 9356, 119718, 10705, 119364, 137, 2702, 54260, 2050, 155, 2442, 119273, 29766, 17537, 4, 69355, 209, 22444, 155246, 8300, 75290, 64890, 2702, 4, 119055, 10705, 1285, 5950, 58082, 33414, 506, 17190, 119718, 8580, 7265, 11265, 4113, 32887, 4944, 16932, 220224, 49008, 8903, 159696, 1211, 1285, 1470, 54260, 8903, 50778, 46685, 2702, 5, 4151, 81444, 4852, 161459, 21776, 16803, 29766, 17537, 3056, 6235, 159696, 1211, 9356, 119718, 146598, 200651, 2702, 1470, 6, 56052, 6681, 74004, 9719, 17310, 150349, 17410, 7611, 6681, 6681, 29659, 54260, 6093, 3120, 1285, 6681, 3131, 54260, 2648, 65482, 77775, 22426, 101503, 54260, 12483, 4, 95298, 6235, 506, 54260, 46053, 37826, 4151, 21776, 16803, 29766, 17537, 137, 2702, 54260, 2050, 2004, 6, 238144, 1644, 1285, 364, 75230, 22426, 174410, 54260, 23405, 54260, 6093, 72649, 8580, 220224, 49008, 185040, 6235, 159696, 1211, 1285, 137, 2702, 54260, 87311, 119718, 26394, 2702, 2909, 3373, 26, 68313, 42493, 6235, 159696, 1211, 17160, 75230, 4852, 1470, 21776, 16803, 29766, 17537, 4, 133190, 47833, 88771, 4113, 364, 54260, 2050, 6681, 133519, 2200, 75619, 4, 3373, 54260, 3120, 119718, 15350, 23269, 2200, 3373, 54260, 1470, 75230, 4667, 6681, 1285, 199145, 10339, 147713, 1211, 6, 104378, 3120, 87680, 43649, 29060, 4, 3373, 26, 68313, 8903, 159696, 1211, 1470, 6, 56052, 9424, 216510, 4, 119055, 10705, 148932, 6093, 37826, 7746, 6235, 46590, 2882, 163139, 564, 54260, 7746, 2205, 4151, 506, 54260, 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 ]
[ 6, 5, 6, 5, 6, 5, 6428, 99766, 1211, 37826, 4, 175620, 4, 87644, 60980, 2702, 97634, 6293, 185040, 1470, 75230, 4667, 6235, 17268, 49008, 220224, 1211, 17190, 1982, 16667, 25491, 100863, 54260, 16932, 8580, 4, 1285, 182261, 125897, 69512, 60980, 2702, 97634, 6293, 4, 119055, 13845, 107581, 37826, 125523, 78278, 364, 54260, 50778, 38249, 97634, 2932, 41764, 25207, 168155, 119718, 54196, 11265, 4113, 10339, 54260, 23269, 1470, 54260, 5666, 191538, 23741, 1211, 4, 6, 172060, 185226, 163139, 1285, 78891, 39083, 93975, 87644, 18415, 37271, 13845, 39340, 17190, 119718, 8580, 4, 3120, 3373, 54260, 2050, 155, 6, 5, 6, 5, 6, 5, 35189, 1644, 75230, 47332, 20033, 182261, 4838, 75386, 6, 47351, 6, 21106, 16932, 120522, 2200, 32054, 54260, 13497, 3120, 132213, 26, 1211, 7265, 895, 39340, 26, 1211, 4, 4852, 54260, 364, 23173, 10918, 4484, 3069, 27702, 68566, 46053, 3069, 4151, 6235, 147713, 5927, 54260, 2882, 3120, 132213, 26, 2702, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 4, 2200, 170479, 1211, 20033, 3069, 235210, 12483, 41764, 48775, 119718, 1211, 6, 238144, 16932, 4113, 99505, 850, 2200, 7746, 32054, 54260, 12483, 564, 54260, 22426, 59929, 152848, 6235, 147713, 5927, 54260, 28320, 5, 7265, 87644, 26, 95494, 23741, 4, 11851, 1211, 19532, 149211, 15, 20961, 17494, 64310, 16, 3120, 163139, 1644, 23269, 4, 14004, 56169, 2205, 119055, 10705, 82576, 4, 6, 136775, 2702, 5, 95494, 27702, 68566, 2702, 17310, 3069, 4838, 3944, 18406, 87644, 2200, 364, 23173, 10918, 38249, 32054, 54260, 13497, 13342, 132213, 6319, 59929, 57277, 6293, 6, 5, 3069, 220224, 1211, 836, 28320, 6235, 28317, 125830, 97634, 2932, 2808, 75230, 4667, 4838, 34076, 7682, 119718, 10705, 13497, 3131, 3069, 69512, 6319, 59929, 205416, 92500, 3069, 4151, 4269, 48904, 89930, 10339, 40096, 28726, 69355, 73095, 2050, 220273, 1982, 47351, 2200, 10339, 26612, 123559, 4113, 5, 4113, 1982, 26612, 68566, 2702, 17310, 3120, 6, 47351, 6, 21106, 96986, 87644, 3120, 163139, 1644, 23269, 39293, 13805, 92500, 5666, 54260, 57619, 7682, 159696, 2442, 16932, 32054, 54260, 13497, 874, 5, 10184, 86733, 5, 3373, 37016, 5, 3120, 137, 2865, 6, 78683, 75230, 168892, 151614, 1982, 6235, 25603, 42023, 2205, 9424, 54260, 2882, 17310, 5, 36324, 18225, 10339, 54260, 77188, 10676, 10339, 25046, 10918, 16580, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 3120, 87644, 132213, 6319, 59929, 97634, 6293, 5, 95455, 3056, 874, 54260, 59461, 6, 47351, 6, 75322, 39083, 123329, 72577, 6093, 84514, 2200, 32054, 54260, 13497, 3120, 163139, 1644, 23269, 5, 163139, 1644, 6255, 7746, 27702, 3111, 64213, 7265, 7508, 6093, 6235, 147713, 5927, 54260, 2882, 2200, 119718, 41595, 81829, 70845, 5, 163139, 1470, 75230, 4667, 220224, 1211, 32054, 75230, 2200, 1285, 4269, 48904, 26394, 10339, 26612, 123559, 4113, 1470, 3373, 4667, 34076, 7682, 3069, 220224, 6093, 143326, 506, 5, 16742, 5, 163139, 8947, 10213, 185226, 7746, 125523, 1285, 6, 75322, 39083, 93975, 1751, 71512, 6, 101328, 61621, 711, 1468, 22680, 54260, 13497, 95494, 23741, 5, 3944, 109636, 9934, 21106, 16580, 16747, 4, 34076, 29771, 159696, 32206, 119718, 15350, 4, 3523, 5, 4231, 5, 69355, 206994, 6093, 91163, 6093, 4, 8903, 39293, 1644, 95494, 23741, 149010, 33718, 6093, 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, 171127, 15907, 905, 42180, 2702, 4, 22680, 54260, 13497, 2200, 133519, 8300, 5, 1470, 5, 1470, 117997, 5666, 5, 6, 23173, 149211, 3131, 5, 6, 28317, 29659, 54260, 1211, 13982, 5, 1751, 5, 10213, 164863, 29659, 54260, 1211, 28714, 9221, 564, 48775, 2884, 22426, 5, 4269, 23174, 39083, 2648, 13982, 5, 4231, 5, 17824, 120467, 212915, 2808, 5, 364, 63593, 79981, 2648, 5, 119055, 77188, 506, 54260, 2050, 2865, 5, 1470, 5, 55242, 1644, 122623, 2865, 5, 143064, 212915, 2808, 5, 132213, 29771, 119718, 710, 48253, 2865, 5, 6, 87311, 36326, 119718, 31623, 16580, 87311, 121865, 33469, 19785, 13982, 5, 200386, 3373, 186955, 13159, 1644, 5, 15857, 2932, 14081, 87311, 121865, 10339, 54260, 16667, 97634, 2884, 22426, 5, 30109, 22151, 29771, 13982, 5, 132213, 657, 5, 6, 90848, 4852, 29771, 6293, 710, 111571, 620, 120467, 75578, 2932, 5, 30473, 18406, 92500, 5666, 54260, 112690, 46985, 5, 364, 63593, 79981, 69355, 6235, 159696, 24152, 95494, 23741, 1211, 6319, 75322, 22426, 54260, 1211, 46985, 2702, 97634, 6293, 4, 33960, 18406, 20033, 40653, 1285, 68889, 10918, 13805, 18415, 9721, 14540, 5, 4852, 41595, 4151, 6, 62067, 13497, 54260, 2808, 17310, 3120, 23050, 159696, 24152, 710, 145702, 1211, 173102, 22426, 54260, 1211, 2205, 61242, 4, 78278, 1211, 506, 54260, 50778, 38249, 166464, 4, 6, 186145, 33225, 20033, 60980, 2702, 97634, 33225, 9213, 46685, 564, 54260, 4151, 187483, 5, 2205, 220224, 1211, 657, 218241, 69803, 9416, 68558, 2200, 6681, 25491, 182078, 189623, 48253, 4, 9424, 119718, 65689, 1285, 7265, 97594, 35189, 3120, 220224, 1211, 32899, 4667, 84475, 14081, 2702, 54745, 147713, 26632, 3069, 1285, 6681, 2808, 54260, 29171, 18415, 77775, 6235, 159696, 24152, 3131, 145702, 1211, 4, 37826, 7369, 72577, 2205, 30473, 49008, 220224, 23269, 133519, 65285, 16932, 2205, 19532, 8580, 9616, 4, 119055, 77188, 7369, 42493, 127461, 3069, 4151, 8300, 54260, 67873, 4, 3069, 4892, 2882, 52541, 2200, 6, 87311, 49008, 2819, 2200, 235466, 7369, 7746, 3069, 5332, 22426, 13159, 4, 19024, 1211, 65146, 8947, 220224, 1211, 2808, 4151, 7201, 39083, 2932, 4, 19024, 1211, 65146, 1211, 6, 104378, 21776, 124740, 96256, 28320, 5, 95766, 1285, 364, 34533, 29766, 40697, 4151, 50856, 54260, 1982, 109226, 3120, 23050, 159696, 24152, 3131, 145702, 1211, 46985, 2865, 22426, 54260, 1211, 3056, 81444, 2808, 9356, 46464, 83182, 2702, 1751, 54260, 59461, 60980, 22426, 15907, 13845, 4, 119055, 13845, 104238, 364, 54260, 16803, 152, 137, 101296, 16629, 49008, 6681, 1211, 23917, 2909, 2205, 2947, 3882, 32899, 23405, 2882, 18225, 6, 68558, 7508, 54260, 35465, 6, 159696, 15388, 1470, 657, 54260, 113889, 2882, 54260, 22426, 15864, 16629, 1211, 5, 2205, 54566, 119055, 77188, 8947, 64044, 119718, 9221, 21733, 91595, 5, 18225, 874, 54260, 13497, 4, 6150, 18225, 3056, 1751, 75230, 1211, 6, 150271, 18640, 4, 95298, 2181, 364, 75230, 47332, 7746, 7511, 2882, 6, 68558, 5, 2205, 28730, 105884, 2882, 18225, 6, 159696, 15388, 1470, 9424, 238144, 16932, 657, 54260, 113889, 2882, 54260, 22426, 15864, 16629, 1211, 4, 2200, 6, 238144, 16932, 119055, 77188, 2181, 28798, 75230, 2050, 5, 2200, 6, 113889, 46104, 46598, 2205, 60775, 292, 1470, 6, 80453, 13159, 15864, 16629, 1211, 5, 78278, 85858, 177148, 4151, 4231, 29766 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 61540, 4, 119055, 12483, 8947, 119055, 77188, 120202, 8903, 3131, 93449, 1470, 6, 87311, 35189, 23269, 17824, 75230, 36419, 6428, 55049, 28714, 16629, 1211, 3069, 74004, 51723, 7265, 1470, 99509, 29659, 188301, 4113, 48706, 123073, 64260, 710, 22426, 2808, 75230, 2702, 15907, 26632, 17310, 4, 199145, 37826, 8903, 88660, 16803, 97121, 3069, 37640, 193338, 1211, 16175, 75230, 4852, 13497, 81444, 44478, 4, 292, 95455, 874, 39083, 99509, 29659, 186797, 120202, 2932, 21660, 39083, 2882, 110167, 18406, 137, 62812, 155, 55242, 22849, 16803, 4, 187055, 21776, 124740, 2882, 26632, 3120, 220224, 1211, 6681, 23847, 13159, 6093, 16932, 6, 138194, 50931, 173149, 2200, 5950, 8903, 2865, 54260, 23269, 241304, 1211, 5, 1285, 200795, 15864, 16629, 49008, 220224, 49008, 40653, 8903, 3131, 93449, 6235, 119718, 29766, 1211, 187055, 6658, 9134, 3120, 23050, 159696, 24152, 3131, 145702, 1211, 173102, 22426, 54260, 1211, 4, 1285, 71180, 23741, 39293, 89930, 710, 9416, 68558, 2200, 10676, 3373, 109636, 42180, 67873, 137, 62812, 155, 224220, 131044, 5, 95298, 119055, 6093, 37826, 2181, 51963, 51723, 3069, 23269, 65848, 18406, 4, 137, 8903, 11556, 153222, 2882, 2004, 42493, 120202, 23269, 212484, 1211, 705, 292, 163139, 35189, 78891, 39083, 4151, 207013, 2442, 87644, 60980, 2702, 97634, 6293, 711, 54595, 75230, 163139, 7265, 1285, 15864, 16629, 49008, 4, 6150, 75230, 564, 54260, 148932, 130170, 23269, 2865, 17310, 4, 564, 54260, 148932, 159696, 33716, 86070, 6093, 6, 125942, 710, 119718, 131044, 5, 1285, 1470, 88945, 4113, 3120, 6235, 159696, 24152, 3131, 145702, 1211, 46985, 2865, 22426, 54260, 1211, 874, 54260, 13497, 130363, 46646, 97634, 33225, 1285, 88771, 4113, 2200, 6, 143409, 6235, 2932, 20961, 18415, 6681, 73375, 35189, 17310, 3120, 10676, 155787, 54260, 28320, 187483, 6093, 2205, 220075, 7265, 220224, 1211, 87644, 2200, 41764, 101328, 59461, 2205, 19532, 8580, 9616, 5, 13159, 3056, 81444, 43449, 75230, 4852, 1470, 54260, 1211, 119055, 10705, 110970, 3069, 220224, 1211, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 15622, 17160, 2200, 95455, 68313, 2451, 10125, 14857, 18167, 711, 160238, 2882, 39293, 64213, 6, 238144, 16932, 1285, 207013, 4, 1470, 54260, 2932, 191538, 23741, 1211, 3120, 40026, 38596, 54260, 2882, 4, 6, 114436, 46677, 2200, 187483, 35044, 71616, 4, 42493, 127461, 5, 119055, 53414, 2200, 42493, 6, 158291, 119055, 53414, 2819, 1470, 54260, 6093, 4231, 17310, 92500, 6235, 23822, 54260, 1470, 75230, 33225, 117902, 119364, 4, 78278, 169550, 4113, 1751, 186145, 1982, 109226, 6, 159696, 67873, 119055, 53414, 1470, 99509, 4484, 29766, 65482, 163139, 24152, 28726, 106504, 54260, 2882, 2205, 10676, 230191, 1211, 92500, 187483, 6093, 28726, 18406, 5, 144754, 6, 115536, 17310, 2200, 87644, 18415, 6, 139485, 46053, 4, 1470, 5, 364, 63593, 79981, 4, 218705, 171433, 14081, 6093, 3373, 37016, 25207, 174410, 5, 710, 111571, 620, 120467, 75578, 2932, 47351, 206994, 6093, 6, 159696, 15388, 119055, 13845, 12984, 6255, 85465, 200117, 76961, 2865, 39083, 6235, 26, 30946, 73136, 26, 2882, 159696, 15388, 220224, 23269, 6, 75322, 39083, 125897, 187483, 1211, 151614, 1982, 6255, 7746, 132025, 8903, 506, 77188, 40653, 84514, 6319, 59929, 97634, 7201, 26, 1211, 43449, 75230, 4852, 11139, 36484, 4, 2200, 6255, 27702, 119718, 10705, 83182, 6, 21106, 7611, 199145, 6255, 85465, 200117, 221387, 6, 159696, 15388 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 70845, 5, 6, 149364, 4852, 43178, 44779, 151614, 1982, 6255, 7746, 564, 92605, 35596, 7265, 24390, 81444, 2205, 6, 212394, 4, 2205, 178766, 564, 32572, 21527, 26, 2648, 123329, 32887, 46545, 54260, 2882, 6681, 35189, 132820, 13982, 850, 5, 69355, 10676, 187483, 77188, 710, 22426, 199145, 6319, 59929, 97634, 6293, 6, 105235, 21295, 7265, 7746, 160238, 4, 85465, 200117, 6255, 43649, 188301, 6235, 26, 506, 204067, 26, 2882, 5, 6, 64260, 95455, 3056, 4151, 78104, 22426, 4, 199145, 1285, 65285, 16932, 27702, 159696, 2932, 17310, 3056, 18895, 75230, 1982, 3069, 27702, 95494, 33225, 5, 2190, 119055, 12483, 7369, 119055, 29060, 1982, 26612, 95494, 33225, 119055, 53414, 2819, 119055, 12483, 36324, 13845, 107581, 22639, 18415, 7972, 8903, 194734, 4, 1470, 88945, 21106, 34533, 40697, 4, 2200, 95766, 10676, 1751, 43178, 119364, 6, 109995, 3523, 34365, 192956, 187483, 6093, 4, 6, 159696, 67873, 37729, 4151, 27702, 159696, 2932, 17310, 23173, 75230, 2702, 8903, 1982, 48775, 40920, 119055, 53414, 17824, 75230, 2702, 6235, 3111, 2932, 2205, 9424, 39083, 4, 119055, 29060, 1285, 27702, 22680, 54260, 2808, 17310, 3120, 20315, 2050, 187483, 6093, 19302, 59929, 28798, 75230, 2050, 119055, 53414, 5, 168892, 55242, 123736, 23741, 6319, 59929, 97634, 7201, 26, 1211, 564, 54260, 6235, 39293, 1644, 95494, 23741, 192956, 187483, 1211, 5, 220224, 1211, 2808, 41595, 6093, 13159, 3056, 6, 47351, 88771, 26, 6093, 2819, 220224, 1211, 22639, 18415, 7972, 8903, 69106, 4, 220224, 1211, 56170, 105235, 16747, 161829, 7201, 23173, 4151, 6, 170355, 4667, 4, 4838, 203013, 4113, 2200, 192183, 16803, 55049, 15231, 159696, 2819, 220224, 1211, 6, 35596, 154197, 165592, 2050, 4, 26612, 17190, 1982, 16870, 123329, 2200, 6, 95494, 7201, 213952, 6093, 5, 17645, 20315, 27702, 159696, 2932, 17310, 9721, 141847, 2882, 6, 23173, 75230, 2702, 33718, 6093, 2200, 6, 95494, 59919, 657, 75230, 2882, 11265, 2808, 54260, 8903, 119132, 6, 159696, 56880, 2200, 87481, 186955, 5, 1285, 6, 186145, 61397, 3120, 4838, 133749, 15307, 1982, 26612, 159696, 2932, 17310, 4, 1644, 14857, 1644, 4, 57973, 6, 208048, 83182, 27702, 10918, 2808, 17310, 3069, 6, 73381, 13497, 192956, 6, 170355, 12984, 163139, 8947, 57973, 186145, 61397, 3120, 4838, 6319, 75322, 6293, 27702, 159696, 2932, 17310, 5, 8947, 3056, 95455, 17824, 75230, 36419, 56170, 2648, 171127, 3120, 35189, 132820, 13982, 850, 4, 199145, 22753, 37826, 6, 23173, 75230, 2702, 8903, 1982, 48775, 40920, 4, 3069, 2932, 21660, 75230, 15388, 2200, 6, 84577, 119718, 7682, 21295, 96302, 81829, 4, 199145, 6235, 506, 53414, 73784, 10213, 119364, 115374, 28714, 16932, 710, 21106, 5, 95455, 3056, 1470, 54260, 23269, 69355, 1285, 17824, 75230, 36419, 1470, 75230, 23741, 47709, 109226, 3120, 4151, 132820, 13982, 850, 5, 4838, 75386, 4838, 87644, 2205, 35189, 132820, 13982, 850, 1982, 26612, 159696, 2932, 17310, 7501, 6255, 43649, 39083, 7611, 230764, 10676, 5, 168892, 27702, 68566, 2702, 120522, 6319, 59929, 97634, 7201, 26, 1211, 3069, 220224, 1211, 10339, 25046, 10918, 152194, 1211, 6235, 28317, 125830, 97634, 2932, 49792, 104855, 4, 2200, 163139, 13497, 70845, 125523, 4838, 3373, 4667, 6, 101328, 61621, 3120, 17824, 75230, 101608, 20632, 34709, 4113, 4944, 4484, 54260, 2050, 7201, 23173, 7746, 6, 21106, 54260, 1211, 2200, 56170, 178766, 27702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 159696, 2932, 17310, 5, 5666, 54260, 1211, 92500, 5666, 54260, 57619, 7682, 87311, 121865, 10339, 54260, 16667, 97634, 2884, 17268, 7201, 10918, 4484, 4231, 29766, 17190, 148346, 1211, 37640, 7508, 54260, 12984, 87481, 186955, 54260, 123073, 32054, 54260, 13497, 37640, 66293, 137, 28714, 9221, 6319, 59929, 97634, 6293, 15622, 44693, 54260, 224220, 131044, 155, 12, 144754, 6681, 8903, 7511, 15388, 620, 21292, 6255, 7746, 6, 68558, 2205, 1285, 7508, 54260, 12483, 3120, 1285, 9424, 39083, 2442, 54260, 107581, 32054, 54260, 13497, 3120, 132213, 60980, 2702, 97634, 6293, 2200, 9356, 68566, 2702, 70845, 3069, 220224, 1211, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 8903, 28317, 125830, 97634, 2932, 5, 4852, 54260, 23269, 10339, 25046, 10918, 4484, 4231, 29766, 98478, 220224, 49008, 3120, 7508, 54260, 12984, 87481, 158291, 5, 6681, 1285, 141879, 105780, 6293, 2200, 9424, 119718, 2808, 57619, 7682, 4231, 29766, 199145, 6255, 42542, 70845, 4, 151614, 1982, 6255, 174246, 1470, 6235, 147713, 5927, 54260, 2882, 113889, 4944, 13342, 7201, 39083, 15388, 220224, 23269, 32887, 46545, 54260, 28320, 2205, 4151, 187483, 6093, 9356, 159696, 3111, 23405, 5, 1285, 187483, 6093, 4852, 18167, 3056, 51963, 2865, 39083, 6235, 147713, 1211, 70845, 6, 113889, 35596, 73784, 68889, 8580, 5, 220224, 123073, 115222, 2865, 33225, 4, 4151, 23847, 54260, 4944, 109226, 2200, 220224, 6093, 1751, 186145, 18406, 3069, 1470, 6235, 179561, 88680, 564, 181980, 54260, 2808, 17310, 187055, 1470, 19302, 46646, 3056, 8903, 159696, 1211, 220224, 1211, 6, 89991, 5, 51963, 187483, 6093, 6, 68558, 130170, 3131, 54260, 2648, 3120, 48494, 36419, 4, 6319, 39083, 9221, 2200, 34076, 75230, 18406, 506, 29771, 18406, 70845, 16175, 32097, 117578, 13159, 54196, 2200, 6681, 220224, 6093, 196511, 37826, 7369, 6235, 65285, 2882, 5, 28714, 9221, 60980, 2702, 97634, 17748, 32887, 46545, 54260, 28320, 2205, 4151, 77014, 10918, 14081, 34533, 13456, 10918, 9416, 16803, 152185, 9356, 159696, 3111, 23405, 37826, 19302, 29766, 9356, 119718, 15533, 1211, 4, 163139, 5950, 4852, 54260, 46545, 2200, 16175, 32097, 220224, 1211, 6, 181615, 3056, 230764, 10676, 96302, 31249, 710, 12984, 98478, 2200, 1751, 186145, 18406, 5, 4151, 173102, 6293, 6681, 2190, 28714, 22426, 506, 141847, 7682, 54260, 2882, 3120, 32611, 39083, 4484, 37826, 70845, 42493, 119055, 76632, 61397, 117578, 13159, 54196, 163139, 4151, 173102, 6293, 3120, 1285, 187483, 6093, 64044, 1470, 564, 181980, 54260, 28320, 187483, 6093, 19302, 46646, 5, 220224, 1211, 187483, 6681, 1470, 564, 181980, 54260, 28320, 230191, 1211, 7201, 39083, 4484, 4, 6681, 47833, 2190, 28714, 22426, 506, 141847, 133671, 230191, 1211, 10339, 39083, 4484, 4, 6681, 1470, 77775, 2442, 364, 54260, 2865, 111506, 95766, 141211, 9616, 3056, 2190, 14857, 120347, 20961, 5, 7265, 657, 54260, 1982, 2200, 98478, 37826, 7369, 7746, 19532, 54260, 5666, 8903, 119718, 29766, 33225, 1470, 75230, 4667, 2205, 1285, 168155, 187483, 4, 1285, 5666, 188301, 6150, 75230, 2808, 68550, 42493, 133190, 1285, 77775, 65285, 16932, 136775, 1211, 4, 133190, 1470, 75230, 4667, 10676, 64890, 57619, 1211, 230191, 1211, 10339, 39083, 4484, 5, 168892, 564, 93047, 21292, 132213, 60980, 2702, 97634, 6293, 3069, 1285, 168155, 6235, 147713, 5927, 54260, 2882, 2200, 163139, 13497, 3131, 70845, 113889, 4667, 1470, 3373, 4667, 6, 101328, 61621, 3120, 32887, 46545, 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 ]
[ 2882, 5, 170479, 220224, 1211, 3069, 16580, 217814, 93975, 187483, 220224, 1211, 42493, 6, 159696, 164863, 123329, 80839, 40920, 130745, 163139, 22753, 3056, 6235, 159696, 1211, 2205, 4151, 6681, 185337, 43178, 506, 54260, 2882, 5, 87311, 121865, 10339, 54260, 16667, 2882, 92500, 73418, 83182, 125830, 37016, 25207, 16932, 4, 6681, 2808, 54260, 29171, 18415, 77775, 6235, 159696, 24152, 3131, 145702, 1211, 5, 13982, 5, 1751, 5, 10213, 164863, 29659, 54260, 1211, 26612, 10339, 39083, 152194, 710, 94790, 104238, 1285, 59461, 3120, 10705, 54561, 123073, 1470, 88945, 21106, 1211, 13342, 10676, 137, 28714, 9221, 60980, 2702, 97634, 6293, 15622, 44693, 54260, 88660, 2865, 131044, 155, 152, 168892, 7501, 1470, 54260, 4667, 220224, 6093, 6428, 48904, 92341, 23173, 6681, 1470, 54260, 6093, 7265, 2882, 54260, 1644, 17310, 6, 159696, 15388, 10676, 4, 36324, 4838, 139485, 109636, 133519, 2200, 32054, 54260, 13497, 19302, 54260, 18406, 7746, 3069, 10339, 54260, 53414, 230764, 4838, 6235, 506, 6093, 133671, 185527, 10676, 2525, 710, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 3120, 169550, 32054, 54260, 16747, 2200, 87644, 132213, 6319, 59929, 97634, 6293, 5, 1470, 54260, 6093, 88660, 2865, 131044, 56170, 2648, 41595, 88771, 26, 4113, 6, 239162, 24152, 43178, 17310, 56170, 4151, 81444, 4852, 123329, 22639, 31623, 137218, 15231, 159696, 4, 6, 238144, 17410, 18167, 143750, 1982, 4, 36324, 87644, 6319, 59929, 97634, 6293, 3056, 1470, 54260, 59461, 3120, 1285, 6, 238144, 29171, 4113, 10339, 39083, 152194, 52480, 192956, 24621, 110970, 1211, 2200, 1470, 88945, 21106, 34533, 1211, 4, 119055, 13845, 107581, 56170, 10069, 49008, 36324, 1285, 77775, 6, 76776, 10918, 232187, 28726, 6, 73381, 35596, 28726, 4944, 4484, 54260, 2882, 170479, 220224, 6, 53414, 564, 54260, 4838, 112216, 2702, 123329, 6235, 147713, 5927, 54260, 2882, 5, 168892, 6319, 68558, 87644, 6319, 59929, 97634, 6293, 56170, 10184, 28726, 6, 101328, 61621, 2200, 151614, 1982, 43649, 188301, 6, 159696, 15388, 70845, 2808, 364, 75230, 107581, 874, 54260, 3111, 23405, 5, 7369, 3056, 56170, 20033, 4151, 7038, 82576, 3120, 4838, 17288, 104238, 1211, 6, 87311, 35189, 119132, 14004, 35465, 2200, 115556, 4, 1470, 10339, 39083, 152194, 52480, 192956, 2442, 78104, 22426, 119055, 13845, 104238, 22444, 23741, 564, 54260, 219047, 51963, 51723, 92500, 76961, 2865, 39083, 6, 23173, 75230, 2702, 132025, 2932, 65482, 24621, 6235, 46590, 1211, 5, 4838, 14856, 110970, 3120, 160751, 75230, 2442, 114436, 22639, 18415, 7972, 8903, 69106, 4, 26612, 77775, 112216, 65848, 64260, 2205, 364, 75230, 12984, 2200, 1751, 54260, 119132, 6, 109995, 3120, 119055, 99766, 4, 37826, 7369, 56170, 3131, 57277, 49008, 3069, 56170, 2808, 54260, 29171, 1211, 220224, 1211, 6, 149364, 4852, 43178, 28726, 12984, 98478, 199145, 3056, 132025, 8903, 46590, 2882, 7265, 1751, 159696, 25207, 48775, 207650, 2882, 2200, 6319, 75322, 6293, 56170, 4151, 67882, 16932, 17645, 44478, 6, 37016, 30473, 80885, 69106, 7265, 4151, 206994, 56170, 10069, 1751, 43178, 80885, 1470, 88945, 21106, 1211, 3120, 155787, 13497, 14088, 2200, 115556, 28726, 4944, 4484, 54260, 2882, 5, 2205, 1751, 71577, 4, 163139, 564, 54260, 7746, 95766, 4151, 364, 54260, 2050, 4, 37826, 7369, 8947, 56170, 3131, 57277, 49008, 3069, 6235, 29659, 186955, 1211, 220224, 1211, 98478, 6150, 75230, 4, 36324, 18225, 88660, 1211, 54803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 225975, 1211, 4, 36324, 220224, 1211, 364, 54260, 2050, 2200, 220224, 1211, 10339, 26612, 123559, 12483, 28726, 18406, 192183, 12483, 1285, 49008, 4838, 75386, 4838, 11556, 82576, 56170, 10676, 98478, 2200, 4151, 83066, 17310, 3120, 6, 17645, 35465, 230191, 1211, 22639, 18415, 186461, 35596, 5, 95766, 56170, 1644, 75230, 6293, 3120, 1285, 141879, 6, 101328, 61621, 151614, 1982, 6255, 6235, 506, 40096, 1285, 6235, 147713, 5927, 54260, 2882, 3069, 104378, 2205, 6, 149364, 4852, 43178, 28726, 12984, 192183, 2882, 129071, 7265, 220224, 1211, 32887, 46545, 54260, 2882, 4838, 75386, 21422, 9416, 16803, 2200, 230191, 26612, 10918, 232187, 44478, 33718, 6093, 5, 6255, 34076, 75230, 1982, 4, 36324, 1470, 75230, 4667, 230764, 10676, 6235, 94114, 6319, 68558, 7369, 1285, 49008, 4838, 75386, 73418, 83182, 2050, 92500, 2808, 54260, 66293, 2808, 3944, 40920, 133671, 7038, 82576, 3120, 4151, 3944, 30750, 3069, 220224, 1211, 10339, 39083, 4484, 2200, 6, 111506, 5, 6255, 119055, 13845, 6319, 54260, 5666, 2865, 39083, 7511, 2882, 56170, 8903, 46053, 7265, 199145, 56170, 6, 47351, 40653, 8903, 219537, 54260, 2882, 7369, 37826, 6235, 235210, 21295, 182731, 4, 4944, 10069, 3069, 4151, 190386, 4113, 12984, 4151, 193012, 192956, 2442, 9424, 54260, 2882, 17310, 137, 62812, 155, 2205, 25282, 23784, 7746, 1470, 54260, 57619, 905, 95494, 33225, 4838, 657, 24295, 64260, 54260, 22426, 5, 230764, 76961, 160751, 161577, 3120, 4151, 141211, 9616, 1470, 75230, 7201, 1982, 75230, 32887, 15231, 2932, 4484, 54260, 2882, 151614, 1982, 6255, 70845, 43649, 188301, 6235, 104149, 4838, 75386, 6, 47351, 6, 114436, 62073, 1211, 4, 6, 129071, 710, 119718, 1211, 2200, 40653, 8903, 30750, 119132, 1285, 59461, 5, 28714, 9221, 6319, 59929, 97634, 6293, 3056, 6, 47351, 88771, 26, 6093, 10339, 39083, 152194, 52480, 192956, 2442, 1285, 59461, 3120, 169550, 4113, 2808, 88945, 21106, 1211, 5, 7369, 37826, 95455, 1470, 75230, 4667, 27702, 119718, 15533, 1211, 2205, 4151, 3069, 23847, 54260, 2882, 17310, 3120, 220224, 23269, 6, 149364, 4852, 43178, 192956, 162726, 114436, 2200, 2205, 10676, 1751, 186145, 18406, 2205, 3069, 235210, 43178, 506, 48904, 2932, 7265, 4151, 3069, 17494, 217814, 3120, 4852, 18167, 5950, 54260, 1211, 2200, 220224, 1211, 10339, 26612, 123559, 4113, 5, 7369, 3056, 6235, 159696, 1211, 3120, 1285, 200795, 21422, 9416, 119364, 23173, 30750, 16932, 4, 159696, 1644, 107581, 57973, 120202, 8903, 3131, 22426, 99766, 21934, 10676, 12023, 46053, 3120, 874, 75230, 1644, 4, 9747, 3069, 6, 104378, 2205, 564, 165592, 45631, 69355, 4838, 67826, 21733, 191795, 35465, 2205, 141211, 9616, 4, 2200, 1470, 75230, 4667, 81444, 37826, 7369, 27702, 119718, 15533, 1211, 1285, 7369, 28726, 4944, 4484, 54260, 2882, 3120, 220224, 1211, 1470, 88945, 21106, 78653, 2200, 1285, 6, 119859, 57619, 4484, 54260, 2882, 3120, 220224, 1211, 119055, 13845, 96256, 110970, 75230, 2808, 17310, 2205, 220224, 1211, 94626, 119718, 40096, 1211, 2200, 6235, 39293, 1644, 95494, 23741, 28726, 12984, 98478, 5, 168892, 564, 29060, 1470, 54260, 4667, 40653, 13342, 8903, 18406, 87644, 132213, 6319, 59929, 97634, 6293, 874, 54260, 1211, 364, 23173, 10918, 39340, 27702, 68566, 2702, 17310, 2200, 874, 54260, 1211, 1470, 75230, 7201, 120749, 133671, 119055, 10705, 110970, 4, 36324, 8947, 170479, 70845, 220224, 1211, 27702, 3131, 77188, 125523, 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 ]
[ 3373, 4667, 101328, 61621, 160238, 2882, 39293, 64213, 220224, 1211, 116486, 108264, 15231, 119718, 2200, 3523, 34365, 44779, 98478, 4, 6235, 99611, 1211, 3069, 235210, 12483, 7265, 4852, 54260, 1211, 32054, 75230, 2200, 114955, 2205, 34076, 7682, 1285, 21776, 124740, 57277, 28320, 3120, 220224, 1211, 206994, 4, 2200, 8248, 14325, 3069, 220224, 1211, 13342, 4151, 56170, 119718, 710, 24152, 28726, 4944, 17310, 3120, 1285, 76961, 1470, 88945, 21106, 1211, 4, 56170, 119055, 13845, 107581, 7369, 37826, 4838, 159696, 4484, 193120, 1285, 10213, 80885, 6, 101328, 61621, 3120, 220224, 1211, 98478, 5, 144754, 17824, 75230, 2702, 30795, 141211, 4, 13982, 5, 1751, 5, 10213, 164863, 29659, 54260, 1211, 28714, 9221, 564, 48775, 2884, 15, 224208, 16, 21847, 7682, 119718, 10705, 110970, 3120, 133519, 2205, 4112, 185758, 4, 1470, 72577, 6093, 87644, 2200, 32054, 54260, 13497, 119055, 77188, 10339, 25046, 10918, 4484, 4231, 29766, 6, 158291, 5, 199145, 165354, 18225, 70845, 6, 225975, 1211, 3069, 4151, 6235, 147713, 5927, 54260, 2882, 705, 6, 158291, 119055, 29060, 7369, 42493, 119718, 53414, 4, 4151, 120522, 60980, 2702, 97634, 6293, 4, 44064, 119055, 12483, 7369, 119055, 29060, 10339, 54260, 53414, 220224, 1211, 105780, 6293, 2200, 22753, 30750, 147455, 4231, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 5, 5332, 22426, 13159, 3056, 7369, 220273, 42493, 1470, 155787, 95766, 6, 101328, 61621, 5, 9424, 54260, 2882, 5666, 238144, 4852, 4, 18133, 40920, 7746, 4, 6150, 7369, 42542, 162726, 905, 34709, 17310, 124724, 1470, 22426, 97634, 1211, 1470, 14004, 214766, 81829, 10498, 2648, 3131, 46545, 4, 36324, 75230, 34654, 25207, 119718, 103023, 2200, 17190, 30750, 103023, 3056, 7369, 5, 6, 21106, 4852, 29771, 4, 68313, 45521, 16803, 190135, 4, 6150, 132213, 60980, 2702, 57277, 6293, 119055, 77188, 10339, 25046, 10918, 4484, 4231, 29766, 15622, 5666, 6, 5, 84514, 132213, 6319, 59929, 97634, 6293, 3056, 3496, 92904, 56170, 7972, 47332, 4, 2200, 170479, 20033, 69512, 78683, 2702, 97634, 6293, 7038, 54574, 220224, 1211, 4, 119055, 12483, 6255, 119055, 13845, 11265, 6, 225975, 1211, 4, 36324, 22753, 37826, 4838, 6235, 59919, 28726, 12984, 46985, 20260, 14303, 35596, 5, 43649, 75230, 16803, 22753, 7746, 6, 68558, 705, 6255, 7501, 40653, 8300, 54260, 98833, 4, 6150, 22753, 6, 238144, 16803, 4, 54595, 60980, 2702, 97634, 6293, 3056, 78278, 1285, 1470, 75230, 53414, 6681, 7972, 47332, 2205, 1470, 230191, 6235, 13982, 905, 20911, 119055, 101503, 5, 3111, 4, 36324, 18225, 3056, 56170, 7972, 47332, 4, 3056, 18225, 115526, 17410, 4231, 17310, 4, 3056, 81444, 4667, 115526, 17410, 4838, 27702, 238144, 4852, 4, 36324, 6319, 59929, 97634, 6293, 3056, 10339, 25046, 10918, 4484, 4231, 29766, 4231, 17310, 5, 506, 13458, 6319, 59929, 97634, 6293, 3056, 4838, 6235, 39293, 1644, 95494, 23741, 192956, 2442, 115556, 4, 37826, 143064, 6, 198087, 54574, 26, 12483, 7746, 4, 95298, 7369, 37826, 1470, 75230, 4667, 143064, 10676, 115374, 4, 2200, 115556, 17410, 107581, 8903, 39293, 139962, 145702, 5, 7369, 3056, 4151, 6, 120749, 123329, 874, 113953, 166990, 4, 119055, 12483, 18225, 107776, 3069, 24390, 2205, 364, 75230, 4852, 5, 15, 2648, 120467, 3056, 1470, 75230, 4667, 4151, 167048, 18167, 3120, 220224, 1211, 657, 88680, 32054, 75230, 194, 2200, 4484, 177148, 18225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 70845, 4, 10184, 21295, 18225, 7746, 163139, 564, 54260, 7746, 2205, 4151, 364, 54260, 2050, 5, 26612, 32054, 54260, 192956, 2442, 4, 4838, 17190, 1982, 16870, 123329, 4, 4838, 17953, 19767, 26, 2648, 123329, 3056, 7369, 6428, 47351, 4, 2200, 159696, 2442, 3373, 26, 68313, 32054, 54260, 44779, 2200, 17190, 30750, 103023, 4, 3056, 115526, 17410, 4231, 17310, 5, 6, 21106, 4852, 29771, 4, 874, 54260, 1211, 34076, 7682, 119718, 10705, 110970, 73784, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 4231, 109226, 15622, 44693, 23173, 5, 69355, 6, 238144, 28320, 1751, 7682, 6255, 10676, 4269, 60071, 5, 3120, 4838, 6, 212394, 4, 199145, 3056, 6319, 59929, 97634, 7201, 26, 1211, 22492, 35596, 2200, 16175, 54260, 6093, 5, 92500, 2205, 874, 54260, 1211, 4269, 60071, 119055, 77188, 1470, 75230, 4667, 40653, 193120, 4151, 72577, 6093, 119055, 10705, 110970, 69355, 10184, 28726, 364, 93975, 133519, 4, 119055, 13845, 107581, 51678, 60980, 2702, 97634, 7201, 26, 1211, 2200, 220224, 49008, 70845, 221067, 22680, 54260, 13497, 5, 47351, 117578, 13159, 84577, 1211, 6, 159696, 2932, 37826, 6319, 59929, 97634, 6293, 190800, 8903, 101296, 40920, 4, 4838, 98478, 2442, 54260, 4667, 7265, 6, 50647, 15050, 4, 7265, 14856, 20560, 4, 7265, 82563, 20635, 5, 7369, 3056, 1470, 6, 80453, 125942, 152185, 69801, 30946, 14088, 4, 4151, 15622, 44693, 20961, 4, 2200, 3069, 220224, 1211, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 42542, 168892, 43449, 75230, 4852, 6, 225975, 1211, 152, 82563, 2865, 26, 2882, 4, 82563, 2865, 26, 2882, 4, 87644, 4, 2200, 215594, 1470, 54260, 6093, 82563, 2050, 21776, 14081, 15533, 54196, 4, 164406, 3069, 51678, 4838, 9424, 238144, 28320, 82563, 2050, 1470, 75230, 2702, 26, 54574, 73136, 26, 12483, 5, 69355, 10676, 8248, 29171, 1211, 6, 212394, 4838, 8248, 29171, 1211, 4269, 60071, 2200, 9721, 14540, 5, 1470, 54260, 6093, 4, 28714, 9221, 9721, 92500, 5, 5666, 5, 292, 2205, 874, 54260, 1211, 34076, 7682, 119718, 10705, 13497, 564, 40096, 54260, 1644, 176727, 7746, 1470, 75230, 4667, 69512, 1157, 506, 564, 48775, 2884, 5, 73418, 50856, 77188, 92500, 136108, 54260, 4852, 54260, 1211, 1470, 88945, 21106, 78653, 3056, 4231, 17310, 2882, 54260, 123073, 133519, 37640, 5666, 26, 2050, 137, 28714, 9221, 6319, 59929, 97634, 6293, 15622, 44693, 54260, 224220, 131044, 155, 152, 144754, 56170, 8903, 7511, 15388, 6, 119132, 6255, 6, 68558, 1470, 54260, 6093, 1470, 54260, 100863, 93704, 17310, 3069, 27702, 68566, 46053, 874, 54260, 1211, 2882, 54260, 53414, 32054, 54260, 13497, 4, 87644, 6319, 59929, 97634, 6293, 4, 3069, 220224, 1211, 10339, 25046, 10918, 4484, 4231, 29766, 4231, 17310, 15, 7511, 2882, 6, 186955, 16, 220224, 1211, 5, 84514, 6319, 59929, 97634, 6293, 3056, 160751, 35596, 29659, 7265, 9424, 238144, 220273, 17824, 75230, 36419, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 2451, 7369, 29659, 16667, 4, 4838, 17824, 75230, 36419, 3523, 83586, 4, 199145, 3056, 40653, 46590, 2882, 159308, 17288, 4944, 119364, 2808, 88945, 21106, 78653, 4, 6, 47351, 1470, 88945, 21106, 78653, 4, 119055, 13845, 104238, 3056, 4151, 17824, 88917, 6235, 94741, 20260, 3120, 220224, 1211, 119859, 57619, 1211, 98478, 2200, 6, 95494, 33225, 2205, 220224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23269, 6, 119859, 69106, 7508, 54260, 107581, 6, 129071, 710, 119718, 131044, 1211, 230764, 21106, 4113, 160751, 161577, 3120, 230191, 1211, 6, 76776, 10918, 232187, 67873, 2200, 3373, 29771, 10918, 21106, 1211, 98478, 5, 9424, 238144, 2882, 16667, 4, 68313, 7369, 160751, 35596, 29659, 7265, 6, 47351, 1470, 75230, 101608, 8903, 238144, 5666, 28726, 12984, 113318, 292, 119055, 13845, 104238, 67882, 40920, 2865, 43178, 44779, 56170, 87644, 6319, 59929, 97634, 6293, 190800, 215629, 1285, 4269, 48904, 26394, 187483, 2205, 98478, 4, 159696, 1644, 107581, 3056, 1285, 20911, 54196, 3120, 220224, 1211, 364, 75230, 12984, 1470, 88945, 21106, 15533, 1982, 5, 6255, 34076, 75230, 1982, 4, 36324, 1285, 8300, 238144, 1470, 54260, 23405, 5666, 95494, 23741, 1211, 21923, 55242, 21295, 1211, 56170, 86070, 88660, 63532, 2205, 1470, 54260, 1211, 6, 149364, 4852, 68558, 5, 2200, 35189, 7201, 23173, 6, 239162, 24152, 171428, 20033, 220224, 1211, 80839, 40920, 1982, 23173, 4113, 187483, 4, 4151, 64044, 1751, 54260, 13497, 23173, 75230, 2702, 220224, 1211, 98478, 2200, 6, 95494, 33225, 56170, 1285, 141879, 496, 4231, 29766, 4, 4151, 7201, 23173, 3056, 87644, 78683, 2702, 97634, 6293, 4, 564, 54260, 76961, 51723, 4, 36324, 75230, 27702, 7972, 47332, 2200, 56170, 77188, 5, 84514, 6319, 59929, 97634, 6293, 3056, 10339, 25046, 10918, 4484, 4231, 29766, 6, 186955, 4, 95298, 220224, 1211, 1470, 88945, 21106, 78653, 3056, 710, 17310, 2200, 220224, 1211, 113318, 3056, 42493, 4151, 36326, 22426, 2882, 4, 2200, 6255, 163139, 13497, 3131, 9213, 1982, 4, 874, 54260, 1211, 16175, 54260, 53414, 84514, 6319, 59929, 97634, 6293, 4, 3069, 235210, 12483, 7265, 69512, 6319, 59929, 97634, 6293, 4, 125523, 657, 48904, 8903, 4, 657, 48904, 8903, 6, 101328, 61621, 69355, 80839, 40920, 1982, 23173, 6093, 187483, 4, 203013, 2200, 84087, 32054, 54260, 2648, 2205, 98478, 5, 13982, 5, 4231, 5, 17824, 120467, 212915, 1644, 5, 15857, 2932, 14081, 47351, 1470, 54260, 2932, 76776, 33716, 123329, 15622, 148346, 15350, 54260, 95766, 101497, 135289, 3056, 178766, 87644, 132213, 6319, 59929, 97634, 6293, 6235, 119718, 29766, 1211, 836, 4231, 29766, 6, 186955, 5, 4852, 54260, 23269, 6, 113889, 194734, 133519, 2200, 32054, 54260, 13497, 57973, 3069, 8903, 236376, 1470, 15622, 44693, 54260, 7201, 54260, 6093, 17310, 232436, 35189, 112216, 115398, 17310, 230764, 47833, 1470, 54260, 2932, 76776, 33716, 133671, 185527, 5, 51723, 37826, 7746, 27702, 22680, 54260, 2882, 3120, 4151, 6235, 238144, 13497, 192956, 2442, 15622, 44693, 54260, 22444, 146887, 3120, 1470, 54260, 113889, 38054, 49008, 26612, 27702, 20260, 29060, 2200, 6, 234221, 105884, 13159, 4, 190800, 215629, 1470, 112216, 150541, 1211, 84475, 42493, 112216, 150541, 1211, 116486, 23847, 34322, 4, 2808, 5, 1470, 5, 119055, 5, 44458, 29659, 64260, 1285, 76961, 6, 170355, 12984, 199145, 21923, 6235, 238144, 13497, 44779, 132025, 139449, 2205, 4151, 8903, 39293, 139962, 145702, 192956, 2442, 6, 159696, 21295, 119055, 12483, 1470, 15622, 44693, 54260, 119055, 77188, 190800, 8903, 7916, 33716, 4, 119055, 77188, 19532, 75230, 2702, 193120, 2808, 27702, 3131, 54260, 2648, 65482, 6, 235210, 1644, 17310, 199145, 170479, 208879, 6, 47351, 120202, 3131, 22426, 710, 21847, 17310, 6, 159696, 15388, 10676, 98478, 2200, 18415, 46545, 54260, 2882, 3120, 15622, 44693, 23173, 2200, 170479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 57277, 39340, 43449, 54260, 18406, 1470, 183582, 42493, 43449, 75230, 4852, 10676, 15622, 44693, 23173, 14081, 54260, 1211, 4, 133190, 4151, 4269, 48904, 89930, 77775, 2442, 6, 73381, 13497, 28726, 4944, 4484, 54260, 2882, 5, 4151, 4838, 33716, 10339, 54260, 53414, 3120, 9213, 905, 17160, 54260, 3056, 54803, 1470, 54260, 2932, 5666, 23173, 46545, 2190, 119055, 29060, 162926, 27702, 23847, 34533, 119055, 53414, 3120, 1470, 17824, 75230, 46053, 25616, 54260, 4852, 199145, 163139, 1644, 7746, 6, 75322, 39083, 27702, 22680, 54260, 12483, 3120, 4151, 132025, 8903, 3111, 2865, 114436, 22444, 146887, 5, 159696, 67873, 3069, 25391, 54260, 18406, 87644, 6319, 59929, 97634, 6293, 4, 36324, 4151, 10339, 129071, 199145, 7369, 3056, 6235, 119718, 29766, 1211, 836, 4231, 29766, 68313, 7369, 19532, 54260, 5666, 8903, 226112, 28320, 2205, 4151, 165284, 55823, 3120, 895, 16932, 1211, 7746, 4, 172590, 62400, 506, 3056, 30473, 104238, 1470, 17824, 75230, 101608, 186421, 5, 895, 16932, 2200, 1285, 51963, 27702, 68566, 33225, 199145, 20033, 57973, 6, 159696, 15388, 158291, 4484, 54260, 2882, 3056, 3069, 87644, 6319, 59929, 97634, 6293, 42493, 3069, 8903, 22426, 59929, 2882, 4, 6, 238144, 1644, 11265, 37826, 3069, 160204, 7265, 47833, 137127, 17190, 30750, 103023, 1211, 4, 34654, 25207, 119718, 103023, 1211, 115374, 5, 18225, 6, 94741, 63020, 42493, 6, 71804, 23405, 27702, 29771, 1982, 26612, 40920, 1211, 87644, 60980, 2702, 97634, 33225, 2205, 11265, 8903, 16747, 119055, 13845, 104238, 6, 129071, 710, 119718, 131044, 3069, 6, 104149, 4, 36324, 95455, 3056, 1470, 115556, 199145, 68313, 43649, 188301, 6, 129071, 710, 119718, 4, 43649, 188301, 34654, 25207, 119718, 103023, 4, 21776, 4944, 13497, 7746, 42493, 7265, 6319, 54260, 1211, 1751, 159696, 2442, 7682, 54260, 28320, 2200, 3056, 17824, 54260, 2882, 190800, 13342, 215629, 44064, 130170, 1285, 1751, 159696, 2442, 80885, 27702, 218710, 109226, 10069, 187483, 1211, 199145, 21923, 70845, 143064, 2200, 3069, 119055, 13845, 107581, 7369, 37826, 1470, 119055, 23173, 4113, 24621, 9356, 10918, 2808, 17310, 5, 10705, 54561, 6093, 87644, 60980, 2702, 97634, 6293, 4, 37826, 130170, 7746, 1470, 6, 119859, 69106, 7508, 54260, 107581, 74806, 710, 4944, 18415, 3120, 6, 61397, 39293, 139962, 145702, 192956, 2442, 6, 129071, 710, 159696, 18415, 2882, 230764, 6681, 16629, 2648, 65482, 160751, 161577, 4, 27702, 46464, 83182, 2702, 1470, 75230, 33225, 160751, 64190, 905, 50856, 77188, 92500, 105780, 6293, 69355, 4151, 187483, 6093, 9356, 159696, 2932, 17310, 37729, 10676, 71180, 23741, 39293, 89930, 657, 218241, 14081, 19251, 4, 3120, 119055, 13845, 12984, 7369, 68313, 182261, 163139, 26394, 7201, 29766, 30473, 89930, 2200, 37729, 1285, 6681, 3131, 54260, 2648, 65482, 120202, 2882, 54260, 1644, 109226, 3120, 4151, 10918, 9416, 16803, 13456, 2702, 29771, 10918, 21106, 34533, 152185, 27702, 159696, 2932, 17310, 5, 84514, 6319, 59929, 97634, 6293, 3056, 6, 130991, 6319, 54260, 1211, 82977, 101328, 24152, 2205, 96903, 5, 6428, 47351, 6, 47351, 952, 6, 63188, 123329, 1982, 42695, 37826, 7369, 1751, 75230, 1211, 7265, 7746, 7265, 8903, 1982, 48775, 40920, 47833, 117578, 13159, 62067, 4113, 56170, 240863, 43178, 506, 54260, 2882, 69355, 21776, 119718, 39083, 92866, 24001, 59461, 6093, 32887, 46545, 54260, 2882, 2205, 207405, 5, 7369, 37826, 7746, 42493, 241997, 34076, 54260, 4667, 2808 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5666, 28726, 18406, 2205, 4151, 17824, 75230, 101608, 165284, 25207, 27105, 123329, 82977, 101328, 24152, 5, 4151, 7213, 215052, 21106, 37826, 70845, 23173, 88680, 8903, 119718, 29766, 33225, 6319, 54260, 1211, 874, 171433, 186145, 21106, 4, 119055, 10705, 7369, 37826, 56170, 1982, 48775, 40920, 78278, 95007, 5, 220224, 1211, 15622, 105405, 192956, 6, 114436, 46677, 37826, 7369, 6428, 47351, 19532, 54260, 5666, 8903, 119718, 29766, 33225, 2205, 6235, 39293, 1644, 95494, 23741, 28726, 12984, 98478, 37729, 4151, 150271, 54260, 41764, 25603, 7972, 157859, 2200, 37729, 10676, 187483, 6093, 7508, 23174, 5, 77208, 95007, 107776, 7369, 98252, 4484, 54260, 1211, 82977, 101328, 24152, 2200, 43649, 54260, 2882, 220224, 2882, 6428, 47351, 163139, 4838, 6235, 23822, 54260, 6093, 3373, 39083, 2648, 40096, 2205, 76961, 6, 129071, 710, 119718, 131044, 1211, 119718, 120467, 1285, 21422, 9416, 16803, 13456, 2702, 29771, 10918, 14081, 34533, 40697, 27702, 159696, 2932, 17310, 235466, 130170, 5, 564, 54260, 4151, 6, 68566, 16747, 17310, 69355, 230191, 76776, 10918, 232187, 67873, 187483, 6093, 56170, 1982, 183512, 2205, 62977, 4, 6235, 7916, 13497, 18225, 70845, 187055, 1470, 54260, 119132, 69355, 1285, 200795, 7265, 97594, 35189, 2200, 187055, 3373, 37016, 25207, 16932, 3120, 10676, 15622, 105405, 9721, 35596, 3131, 543, 15, 14004, 56169, 115398, 112452, 9721, 35596, 3131, 194, 7265, 138, 4231, 29766, 1751, 109636, 16932, 119055, 77188, 6235, 68566, 16747, 29060, 9721, 5, 19251, 4, 10339, 129071, 13456, 4, 4151, 6093, 3131, 16932, 46711, 54260, 10069, 9416, 68558, 9721, 35596, 3131, 2205, 6681, 1982, 104274, 4, 199145, 9356, 29659, 54260, 2882, 28415, 16803, 16667, 3120, 25391, 710, 23741, 39293, 89930, 5, 5950, 54260, 1211, 47833, 187483, 6093, 2205, 10339, 26612, 4667, 119055, 23173, 23741, 7369, 19532, 54260, 1211, 220224, 1211, 182990, 6, 114436, 46677, 4, 9183, 105405, 4, 10339, 54260, 6093, 2200, 6235, 23822, 54260, 3131, 145702, 73784, 56170, 1982, 183512, 2205, 4151, 6, 68566, 16747, 17310, 4, 6, 62067, 119718, 7682, 1644, 17310, 92500, 1470, 75230, 29111, 186955, 17310, 3120, 10676, 71180, 23741, 39293, 89930, 9721, 35596, 3131, 19251, 5, 144754, 10676, 132025, 104378, 3120, 4151, 6, 87311, 35189, 59461, 131397, 1982, 26612, 159696, 2932, 17310, 4, 27702, 46464, 83182, 2702, 7265, 10676, 2808, 75230, 7201, 90536, 3120, 4151, 27702, 159696, 2932, 17310, 2205, 41310, 4, 215594, 18225, 70845, 187055, 3373, 37016, 25207, 16932, 3120, 4151, 22492, 8300, 5, 48494, 2648, 5, 131397, 2205, 564, 45629, 54561, 119718, 15350, 4, 199145, 6, 62067, 119718, 7682, 21295, 7746, 6428, 47351, 3069, 1470, 54260, 59461, 3120, 1285, 30750, 80885, 131397, 1211, 2205, 82977, 101328, 24152, 2200, 40653, 1211, 6, 212394, 4, 130170, 4151, 132025, 91163, 6093, 95494, 23741, 3120, 3149, 26, 15622, 14081, 64769, 146887, 4, 7265, 4151, 6, 125942, 710, 159696, 2442, 7265, 65285, 2882, 3120, 1285, 133519, 10339, 5, 4269, 23174, 39083, 2648, 4, 874, 5, 28714, 36326, 119718, 31623, 16580, 4, 1751, 5, 29566, 22426, 9221, 2808, 4, 119055, 13845, 159696, 1644, 1751, 119718, 20961, 7611, 4, 5332, 155, 506, 4, 564, 5, 60980, 4667, 4, 1751, 5, 6681, 75578, 4, 874, 5, 657, 54260, 1982, 29771, 119718, 45631, 4, 6, 87311, 121865, 33469, 19785, 4, 1285, 75619, 3373, 110856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4113, 45223, 6093, 4, 55242, 1644, 20315, 151614, 7201, 133111, 4, 6, 99101, 34076, 29771, 75578, 133111, 92500, 1470, 54260, 29171, 4113, 87680, 5, 113889, 4667, 1470, 54260, 35189, 1285, 6, 68566, 16747, 17310, 3120, 4151, 132820, 13982, 850, 4, 1285, 6681, 2808, 54260, 29171, 18415, 77775, 65285, 16932, 123736, 48974, 48904, 15533, 173149, 2205, 1470, 155, 710, 4, 3056, 116486, 21733, 75322, 54196, 6235, 119718, 29766, 1211, 4, 2200, 8947, 220224, 49008, 6428, 47351, 171433, 8903, 185337, 12483, 1285, 17824, 75230, 36419, 193853, 24244, 710, 13159, 159190, 10676, 6, 97925, 231293, 4, 119055, 13845, 104238, 37826, 7746, 2205, 710, 114436, 9424, 54260, 2882, 4, 175620, 4, 6, 190135, 1285, 207013, 17824, 75230, 36419, 21422, 67873, 4, 199145, 3373, 26, 159696, 33716, 182261, 27909, 4944, 8903, 7916, 33716, 37729, 4151, 132820, 13982, 850, 159308, 6, 97925, 231293, 2200, 159308, 6, 97925, 21374, 18630, 159696, 33716, 37729, 87644, 60980, 2702, 97634, 33225, 81444, 6235, 68566, 16747, 29060, 1470, 71180, 23741, 39293, 89930, 21733, 18340, 6681, 1211, 97925, 231293, 4, 199145, 83066, 2882, 37729, 1470, 128364, 167673, 4, 6150, 148932, 187483, 6093, 2205, 25391, 710, 23741, 39293, 89930, 27720, 4667, 170479, 9424, 39083, 1211, 1470, 19024, 44478, 1470, 119055, 29771, 4667, 6681, 1211, 6, 97925, 231293, 5, 19024, 1211, 68313, 215031, 27702, 3131, 167673, 2205, 187483, 6093, 30109, 54260, 56880, 1470, 75230, 7201, 139449, 6235, 119718, 20961, 1211, 7265, 220224, 6093, 1470, 3373, 4667, 2702, 39340, 22426, 2882, 31623, 78653, 5, 141211, 114788, 3056, 125523, 6, 238144, 2882, 42493, 6235, 159696, 1211, 95455, 199145, 141211, 114788, 3056, 14004, 56169, 5, 4838, 564, 93704, 54260, 2882, 83182, 16175, 54260, 1644, 3120, 1285, 77775, 187483, 6093, 2205, 220075, 4, 27702, 46464, 83182, 2702, 10069, 83066, 6093, 3131, 145702, 4, 57973, 7746, 27702, 8300, 75230, 15388, 6319, 186955, 2200, 34076, 54260, 4944, 154739, 46545, 3069, 10676, 1470, 75230, 7201, 1982, 75230, 3120, 20961, 7611, 114788, 5, 1285, 77775, 187483, 6093, 27702, 159696, 2932, 17310, 2205, 141211, 114788, 37826, 6428, 47351, 7369, 29659, 8903, 101296, 40920, 1285, 200795, 81414, 2882, 2200, 37826, 125523, 3523, 40096, 9221, 44779, 42493, 241997, 220224, 1211, 117902, 172060, 44478, 6681, 14004, 25207, 1470, 75230, 23741, 47709, 109226, 2200, 4151, 23847, 54260, 4944, 109226, 5, 4151, 160238, 31249, 64567, 4, 36324, 187483, 6093, 170479, 1211, 9424, 39083, 1211, 2808, 81444, 44478, 1470, 119055, 29771, 4667, 6681, 1211, 6, 97925, 231293, 37826, 6235, 7201, 142429, 77188, 6235, 119718, 64567, 158652, 54260, 2882, 2200, 1470, 86510, 1211, 2808, 127684, 28726, 12984, 34076, 75230, 18406, 2205, 4151, 17824, 75230, 101608, 1470, 88945, 4113, 5, 95766, 58410, 119055, 12483, 4151, 6235, 159696, 24152, 3131, 145702, 1211, 173102, 22426, 54260, 1211, 6681, 4151, 77775, 2442, 187483, 139365, 26612, 159696, 2932, 17310, 2205, 141211, 114788, 202745, 10676, 7369, 29659, 1211, 1470, 75230, 87178, 15907, 2205, 220075, 2200, 8947, 506, 54260, 18406, 7746, 6, 68558, 6, 139485, 22426, 52541, 159190, 10676, 173102, 22426, 54260, 1211, 6, 26394, 47526, 125897, 16175, 75230, 4852, 13497, 6093, 77775, 187483, 6093, 92500, 10339, 39083, 13805, 123736, 48974, 48904, 15533, 173149, 2702, 4, 215594, 18225, 10676, 15622, 44693, 20961, 187055, 47833, 22639, 31623, 137218, 205416, 3120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3523, 54260, 46598, 22426, 1644, 47351, 202229, 4151, 77775, 2442, 187483, 6093, 9356, 159696, 2932, 17310, 2205, 141211, 114788, 4, 1470, 162726, 47351, 199145, 68313, 3069, 8903, 7201, 59929, 2882, 3069, 220224, 1211, 10339, 26612, 4667, 2200, 3069, 220224, 23269, 7265, 23173, 30750, 16932, 5, 95455, 874, 54260, 49008, 20033, 1285, 1982, 26612, 119718, 10705, 80885, 6, 92605, 42180, 3069, 1751, 133671, 1470, 657, 54260, 113889, 2882, 54260, 22426, 67882, 16629, 1211, 3120, 1285, 77775, 71180, 23741, 39293, 89930, 2205, 2808, 46685, 125897, 6681, 10676, 137, 62812, 2004, 1285, 200795, 193012, 192956, 187483, 6093, 9424, 54260, 2882, 17310, 2205, 141211, 114788, 5, 1285, 6, 92605, 42180, 3056, 190800, 8903, 7916, 33716, 6235, 119718, 29766, 1211, 7265, 1470, 564, 93704, 54260, 2882, 16747, 1211, 4151, 7201, 39083, 2932, 4, 199145, 506, 64260, 6235, 101296, 40920, 1470, 17824, 75230, 46053, 22444, 37460, 230764, 187483, 6093, 30109, 54260, 56880, 2205, 220075, 2200, 37826, 30473, 104238, 160751, 48775, 40920, 6319, 39083, 120467, 21106, 4113, 199184, 6681, 4151, 6, 84577, 119718, 7682, 1644, 17310, 3120, 4151, 187483, 6093, 80453, 13159, 4113, 2205, 141211, 114788, 5, 88771, 4, 1285, 206994, 3056, 190800, 8903, 7916, 33716, 6235, 119718, 29766, 1211, 2205, 6, 113889, 51723, 69355, 4838, 224220, 131044, 4, 95298, 1285, 3523, 83586, 2200, 95455, 364, 23173, 7611, 3120, 224220, 131044, 4, 4151, 6, 125942, 710, 159696, 2442, 4, 8903, 23822, 54260, 6093, 2200, 40653, 8903, 8903, 1982, 114436, 206994, 6093, 6681, 4151, 130170, 23269, 2865, 17310, 3056, 43649, 188301, 6235, 159696, 1211, 178766, 87644, 132213, 60980, 2702, 97634, 6293, 5, 2648, 120467, 3056, 43449, 75230, 4852, 1470, 58571, 26394, 120202, 95494, 8300, 17310, 6, 159696, 15388, 10676, 6, 114436, 62073, 1211, 87644, 874, 5, 6319, 59929, 97634, 6293, 4, 35189, 87644, 199145, 3056, 43649, 188301, 1470, 75230, 33225, 6, 99766, 119055, 12483, 8947, 6, 94741, 63020, 1470, 17824, 75230, 36419, 187483, 6235, 97634, 1211, 119718, 53414, 4, 4151, 199145, 27702, 30473, 56169, 2205, 7746, 10676, 90709, 7265, 220224, 1211, 27702, 2932, 54260, 82576, 17310, 4, 1470, 88945, 21106, 78653, 92500, 40653, 8903, 30750, 5927, 54260, 2882, 1470, 75230, 4667, 132025, 13342, 105235, 38249, 221895, 5, 84514, 6319, 59929, 97634, 6293, 37826, 1470, 17824, 75230, 36419, 9424, 39083, 6, 149364, 4852, 43178, 192956, 32054, 54260, 13497, 4, 6, 238144, 1644, 1470, 133880, 95247, 48350, 13845, 95494, 23741, 192956, 2442, 115556, 4, 119055, 13845, 104238, 3056, 17824, 54260, 2882, 3069, 160204, 187483, 6681, 163139, 40920, 125897, 6235, 39293, 1644, 95494, 23741, 192956, 21422, 67873, 4, 3056, 7369, 1470, 75230, 4667, 2205, 6, 149364, 4852, 43178, 28726, 12984, 6, 109995, 1470, 87644, 2200, 1470, 32054, 54260, 13497, 5, 20033, 1982, 26612, 68566, 46053, 70845, 3069, 220224, 1211, 15622, 44693, 54260, 2200, 20033, 163139, 13497, 81829, 70845, 125523, 10184, 28726, 4231, 29766, 3069, 27702, 30473, 64213, 95766, 7746, 220224, 1211, 15622, 105405, 28726, 4944, 4484, 54260, 2882, 4, 6, 114436, 46677, 2200, 17824, 54260, 158652, 54260, 2882, 6681, 163139, 40920, 125897, 6, 125942, 710, 119718, 131044, 1211, 5, 73418, 50856, 77188, 92500, 75230, 18406, 22426, 5, 4269, 23174, 39083, 2648, 23822, 75230, 46685, 40697, 82563, 20635, 35189, 27360, 26, 6093, 31807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 364, 54260, 17160, 4, 178766, 657, 88680, 87644, 132213, 6319, 59929, 97634, 6293, 6, 105235, 21295, 7265, 4852, 18167, 160238, 4838, 115374, 4, 199145, 3056, 43649, 188301, 56170, 7972, 47332, 5, 56170, 1285, 657, 48904, 8903, 6, 101328, 61621, 4, 199145, 168892, 42542, 70845, 4, 6, 186145, 6293, 6255, 70845, 43649, 188301, 56170, 7972, 47332, 2205, 1470, 54260, 1211, 6, 170355, 4667, 84475, 2205, 4838, 8300, 238144, 16932, 5, 7369, 3056, 55242, 21295, 1211, 6, 48775, 10918, 239162, 1644, 4, 1751, 159696, 2442, 7265, 70845, 3069, 6, 23173, 26217, 96302, 52541, 4, 21776, 21106, 73381, 129071, 1211, 46440, 1211, 6681, 70845, 6319, 54260, 1211, 6, 90848, 28726, 42493, 5, 6319, 59929, 97634, 6293, 3056, 56170, 88660, 40920, 2205, 220224, 23269, 2808, 88945, 21106, 1211, 4151, 7201, 23173, 199145, 7369, 37826, 3069, 220224, 1470, 3373, 63383, 87442, 710, 159696, 27702, 10918, 2808, 17310, 4, 7369, 3056, 2205, 4852, 54260, 23269, 1470, 88945, 21106, 1211, 56170, 7972, 47332, 5, 203387, 32054, 54260, 13497, 60980, 2702, 97634, 7201, 26, 2702, 4151, 87311, 49008, 6235, 119718, 21292, 73784, 72577, 1211, 220224, 1211, 187483, 56170, 35189, 6, 87311, 35189, 59461, 77775, 2442, 131397, 2205, 11265, 4113, 200795, 192544, 506, 54260, 125830, 101328, 61621, 5, 1470, 75230, 4667, 230764, 2865, 54260, 1211, 20585, 3056, 1470, 75230, 2702, 8903, 7201, 21106, 1211, 3069, 564, 92605, 171428, 7746, 7265, 87644, 6319, 59929, 97634, 7201, 26, 1211, 2205, 4231, 114436, 9424, 54260, 2882, 5, 92500, 125523, 364, 54260, 13497, 43649, 54260, 2882, 56170, 874, 54260, 23269, 1470, 75230, 15388, 4151, 4231, 17310, 6093, 4, 187667, 123329, 2200, 6, 90848, 2865, 84577, 152185, 710, 17310, 6093, 6319, 59929, 97634, 6293, 4, 119055, 13845, 104238, 6, 75322, 149364, 2882, 7746, 42493, 6, 159696, 15388, 1285, 3523, 54260, 4113, 6, 187759, 2200, 6, 120749, 109226, 2205, 4151, 10918, 2808, 17310, 4, 133190, 43649, 54260, 2882, 56170, 194706, 163139, 4838, 56170, 7972, 1982, 16932, 4, 2200, 6, 186145, 23741, 2205, 119718, 120467, 292, 2205, 4151, 6, 87311, 35189, 59461, 77775, 2442, 131397, 711, 95766, 4151, 41764, 25603, 7972, 157859, 186046, 2882, 54260, 2200, 2205, 230191, 6, 218705, 232187, 67873, 187483, 6093, 56170, 1982, 183512, 4, 119718, 10705, 87644, 60980, 2702, 97634, 6293, 3056, 215031, 6, 129071, 710, 159696, 2442, 33718, 6093, 4, 3056, 7369, 95298, 1470, 75230, 4667, 2205, 4269, 48904, 64213, 1470, 83182, 3131, 163139, 76961, 87680, 5, 6, 238144, 16932, 95455, 1470, 54260, 2932, 65482, 4, 292, 7369, 46050, 46545, 54196, 42493, 5, 1285, 56170, 3131, 54260, 2648, 65482, 1470, 88945, 29771, 203749, 710, 13159, 2200, 6, 120749, 109226, 56170, 4944, 71577, 1211, 42493, 220224, 1211, 6235, 144754, 4, 7369, 4269, 54260, 2882, 4838, 68550, 8300, 119718, 65689, 76961, 51723, 7265, 220224, 1211, 72577, 11556, 46545, 1211, 10498, 54260, 10813, 4, 37826, 56170, 76961, 51723, 4838, 72577, 119055, 99766, 92500, 4151, 6, 135249, 292, 11265, 215594, 4, 36324, 4151, 115556, 163139, 1644, 7746, 42493, 6, 68566, 130929, 1211, 2205, 192183, 2702, 37016, 159696, 57619, 1211, 2200, 10339, 129071, 29766, 1211, 4, 70845, 3056, 143064, 1285, 6, 170355, 4667, 5950, 54260, 1211, 2200, 7369, 3056, 6681, 7972, 47332, 2205, 35189, 27702, 159696, 2932, 17310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 2205, 1285, 115374, 3120, 4151, 27702, 159696, 2932, 17310, 5, 20961, 7611, 9616, 37826, 60980, 2702, 97634, 7201, 26, 1211, 185000, 6681, 1470, 3523, 54260, 46598, 115374, 5, 220224, 1211, 27702, 10918, 2808, 17310, 13342, 4151, 6, 87311, 35189, 59461, 77775, 2442, 52059, 29631, 4, 3069, 10676, 3523, 54260, 46598, 230191, 1211, 6, 20308, 2200, 73784, 3523, 54260, 46598, 14004, 2648, 65689, 119055, 99766, 4, 3056, 81444, 4667, 125523, 76961, 51723, 6, 21106, 7611, 4269, 54260, 16803, 5, 141211, 9616, 56170, 87311, 98833, 81444, 4667, 1982, 54260, 20315, 6, 170355, 12984, 292, 10676, 4269, 54260, 16803, 2200, 95455, 4269, 186565, 850, 26, 103023, 54260, 2882, 5, 84514, 6319, 59929, 97634, 6293, 46654, 48904, 56169, 6, 57277, 39340, 43449, 75230, 4852, 1470, 6, 80453, 150715, 2205, 141211, 9616, 4, 95298, 3523, 54260, 1211, 4, 292, 7511, 2882, 10676, 6, 80453, 150715, 148088, 63532, 506, 46654, 48904, 56169, 7369, 4, 133190, 7369, 4269, 54260, 2882, 4838, 68550, 1470, 56170, 7972, 1982, 16932, 2200, 12890, 16747, 2882, 30109, 48904, 64213, 6, 73906, 51723, 220224, 1211, 6, 195054, 16011, 16932, 5, 92500, 6150, 75230, 4838, 4269, 48904, 64213, 98478, 4269, 54260, 2882, 7369, 159190, 7265, 1470, 564, 135118, 3131, 145702, 2200, 7265, 1470, 23822, 75230, 46685, 65689, 6, 181615, 6681, 51963, 119055, 77188, 1211, 2205, 98478, 4, 2200, 7265, 220224, 1211, 9213, 135542, 152185, 27702, 29025, 23829, 17310, 3069, 6, 170355, 12984, 6, 95494, 23741, 7369, 159190, 7746, 6, 47351, 22639, 15231, 24621, 364, 23173, 10918, 39340, 6, 118809, 5, 71804, 23405, 98478, 170479, 2882, 11265, 4, 657, 88680, 87644, 6319, 59929, 97634, 6293, 5, 2205, 215031, 116486, 170355, 2808, 152185, 2200, 24621, 4944, 48904, 152185, 6, 159696, 21295, 3523, 75230, 46545, 1211, 20033, 7746, 220224, 6093, 1751, 57277, 24152, 2205, 36324, 13845, 107581, 6681, 7972, 1982, 18415, 23822, 75230, 46685, 163139, 11265, 220224, 2882, 5, 13982, 5, 132213, 657, 5, 6, 90848, 4852, 29771, 6293, 6093, 37826, 6235, 119718, 26612, 98833, 2200, 2205, 6235, 159696, 1211, 4838, 26217, 16932, 564, 54260, 3131, 22426, 15350, 56170, 221895, 20315, 2050, 132213, 6319, 59929, 97634, 6293, 15622, 44693, 54260, 88660, 2865, 131044, 152, 292, 4852, 54260, 6093, 27360, 4113, 32054, 54260, 13497, 711, 168892, 6, 94741, 20260, 4838, 54260, 4667, 56170, 4151, 6235, 147713, 5927, 54260, 2882, 4, 199145, 11265, 204982, 20033, 4, 3069, 88660, 49008, 22518, 54260, 18406, 4838, 117902, 2442, 119055, 6093, 16932, 6, 159696, 15388, 874, 54260, 1211, 32054, 54260, 13497, 2200, 7265, 23173, 30750, 16932, 2205, 4151, 37271, 15388, 2442, 31249, 155, 6, 139485, 109636, 5, 168892, 151614, 1982, 87644, 6319, 59929, 97634, 156325, 4151, 88660, 13497, 7369, 29659, 2205, 4231, 29766, 15751, 2442, 12825, 12183, 4, 119055, 12483, 7369, 37826, 4852, 18167, 199887, 31249, 120467, 1211, 6, 68558, 4151, 184639, 6, 139485, 109636, 3120, 6, 105780, 6293, 6, 75322, 89184, 78683, 59461, 18906, 22426, 28633, 4, 3069, 174281, 3120, 137, 15388, 7508, 54260, 155, 15, 69355, 198754, 2702, 3069, 130154, 1982, 2077, 29434, 5, 132213, 657, 5, 6, 90848, 4852, 29771, 6293, 4, 13982, 5, 7508, 5, 4838, 159696, 2442, 25491, 4667, 132213, 6319, 59929, 97634, 6293, 2200, 29434, 5, 657, 100495 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 54260, 7201, 28714, 97634, 1211, 21422, 9416, 16803, 40697, 206994, 4, 6, 48904, 29659, 64260, 133190, 3069, 7508, 54260, 35465, 6, 159696, 15388, 21422, 33104, 78653, 6, 5, 6, 5, 6, 5, 18225, 37826, 94741, 1211, 54803, 6235, 2648, 23173, 23741, 57973, 1470, 75230, 101608, 8903, 238144, 5666, 28726, 12984, 187667, 2200, 123736, 42023, 4838, 85346, 6, 35596, 154197, 165592, 2050, 4, 23173, 54260, 57619, 15096, 54260, 15388, 1285, 158628, 137377, 8903, 710, 22426, 99766, 4113, 117902, 2442, 19024, 44478, 3120, 6, 47351, 206994, 6093, 4, 2200, 8947, 7201, 23173, 23822, 75230, 12483, 137, 22680, 63593, 20315, 364, 35596, 2004, 3069, 4151, 6428, 47351, 710, 17310, 6093, 4, 42493, 35189, 7201, 23173, 114436, 6319, 39083, 171433, 710, 170355, 10918, 29771, 16667, 8903, 39293, 1644, 95494, 23741, 3120, 4151, 137, 506, 42270, 13982, 850, 2004, 292, 10676, 137, 62808, 2442, 364, 35767, 7511, 155, 15, 35189, 182261, 161459, 137, 710, 211169, 155, 194, 6319, 59929, 97634, 6293, 3056, 6428, 47351, 6235, 159696, 1211, 1470, 54260, 59461, 3120, 1285, 6, 238144, 7511, 8903, 4, 199145, 57973, 8903, 119718, 26612, 98833, 4, 2200, 4151, 7201, 23173, 21923, 4, 230764, 70845, 6, 98055, 213952, 4, 1751, 109636, 16932, 6, 130991, 4838, 3373, 4667, 221895, 6, 5, 6, 5, 6, 5, 7369, 3056, 6235, 159696, 1211, 4838, 41764, 101328, 59461, 230764, 10676, 6235, 94114, 4, 2200, 4151, 7201, 23173, 6, 21106, 54260, 1211, 107776, 24390, 4838, 3373, 4667, 30109, 16870, 15907, 5, 168892, 119055, 39083, 2882, 6235, 119718, 39083, 2882, 564, 54260, 4151, 23050, 147713, 5927, 54260, 2882, 4838, 3373, 4667, 22518, 54260, 18406, 6, 159696, 15388, 6, 21106, 7611, 4, 119055, 29766, 62808, 57973, 37729, 4151, 9424, 54260, 2882, 3120, 1285, 141879, 55242, 13805, 30473, 18406, 4231, 29766, 190800, 8903, 2865, 115536, 5, 1470, 75230, 4667, 159696, 15388, 178766, 4113, 4151, 7201, 23173, 109226, 3373, 54260, 81444, 2205, 4838, 46685, 125897, 2200, 3373, 54260, 2205, 19532, 8580, 6, 24295, 98002, 4, 119055, 10705, 506, 33104, 25207, 69452, 92500, 5666, 54260, 1211, 168892, 2200, 6319, 59929, 97634, 6293, 220224, 49008, 6235, 159696, 1211, 158628, 1211, 4231, 29766, 4, 292, 95298, 6255, 56170, 29659, 54260, 4, 36324, 4151, 22426, 71804, 7611, 123959, 6, 235210, 22849, 31212, 65146, 114643, 28714, 220224, 1211, 27702, 25391, 135118, 2882, 4, 119055, 13845, 6255, 7746, 133190, 120202, 128540, 2808, 75230, 6293, 1470, 54260, 1211, 6, 87311, 96302, 4, 2200, 48494, 203232, 3056, 4, 199145, 178766, 17824, 75230, 101608, 56170, 15907, 205416, 1982, 114436, 2200, 10705, 112595, 23173, 8903, 2702, 192956, 2442, 83066, 6093, 4, 29434, 5, 364, 54260, 2050, 19532, 170098, 2808, 90848, 119718, 4, 5332, 155, 506, 4, 37826, 194706, 6, 75322, 39083, 6235, 4852, 239162, 4, 119055, 12483, 7369, 3056, 6235, 159696, 1211, 4, 3069, 235210, 12483, 7265, 220224, 1211, 32054, 75230, 4, 230764, 6, 47351, 120202, 5666, 54260, 67767, 29771, 119718, 13497, 2205, 78683, 2702, 97634, 17748, 364, 54260, 2050, 4, 2205, 1285, 9721, 171433, 13805, 5, 95455, 3056, 6235, 159696, 1211, 6428, 47351, 4, 119055, 12483, 4151, 22639, 61397, 6093, 8248, 42023, 69355, 1285, 6319, 59929, 97634, 17748, 4, 7508, 6093, 611, 710, 29766, 123329, 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 ]
[ 2050, 4, 2200, 1470, 75230, 4667, 1285, 200795, 18906, 22426, 32184, 3120, 10705, 54561, 123073, 113524, 2442, 31249, 6, 174281, 292, 1285, 1751, 13342, 22426, 92605, 2702, 292, 21923, 120202, 8903, 7201, 29766, 1211, 6319, 54260, 1211, 19532, 8580, 54260, 2442, 14081, 132, 55823, 112593, 23173, 4, 54566, 194, 29434, 5, 6, 23173, 71804, 170355, 90848, 119718, 37826, 6428, 47351, 6235, 225975, 2882, 152, 37271, 8903, 119718, 21292, 119055, 29060, 11265, 4, 1285, 200795, 6, 105780, 6293, 18906, 22426, 28633, 3120, 113524, 2442, 31249, 4, 4838, 3373, 4667, 190800, 101296, 12984, 4, 2808, 54260, 35189, 8947, 119055, 29060, 6, 104378, 1285, 80839, 47332, 3120, 1470, 54260, 6093, 206994, 74, 95298, 11265, 6428, 23173, 23741, 220224, 1211, 29659, 39083, 7611, 4151, 144754, 4, 199145, 11265, 220224, 2882, 230764, 21776, 2050, 6235, 94114, 3120, 4151, 36324, 75230, 6, 61397, 25046, 114436, 80453, 710, 119718, 40096, 14004, 7511, 10918, 26632, 710, 159696, 4, 1285, 200795, 4, 1285, 6, 159696, 2932, 238144, 168155, 6, 5, 6, 5, 6, 5, 1285, 56170, 4852, 54260, 506, 18415, 564, 75230, 46685, 2808, 4667, 238144, 46053, 42493, 3120, 6319, 54260, 23269, 21776, 119718, 39083, 905, 42180, 2702, 4, 117902, 2932, 90848, 51723, 2200, 221895, 1751, 159696, 12415, 20260, 54260, 28320, 1470, 75230, 1982, 51723, 204982, 133190, 230764, 220224, 72577, 4838, 40920, 17310, 2200, 18225, 204982, 220224, 6235, 3111, 2932, 119055, 59929, 6093, 4, 119055, 92605, 46053, 220224, 1468, 168892, 6, 238144, 2702, 42493, 4, 163139, 148932, 6093, 3120, 1470, 54260, 4667, 119055, 29060, 7746, 1751, 109636, 16932, 6, 149364, 4852, 43178, 44779, 1470, 54260, 113889, 38054, 171428, 2648, 99766, 4, 95298, 10676, 56170, 81371, 15388, 199145, 11265, 37826, 182261, 37640, 66293, 564, 75230, 12483, 1470, 54260, 6093, 6, 80453, 150715, 2205, 10705, 54561, 6093, 6, 212394, 4, 3056, 64699, 119055, 77188, 95455, 4269, 48904, 26394, 6319, 71577, 15907, 21106, 4, 199145, 11265, 37826, 140108, 1211, 2808, 24295, 159696, 16803, 54196, 153, 155, 92500, 87644, 6319, 59929, 97634, 6293, 4, 3056, 6, 57277, 39340, 6235, 159696, 1211, 2200, 3056, 1470, 75230, 4667, 182261, 1470, 54260, 59461, 3120, 178766, 139485, 109636, 4, 199145, 42493, 133190, 37826, 7369, 6, 21106, 54260, 1211, 10676, 6, 35596, 154197, 165592, 2050, 56170, 6, 64260, 4151, 17824, 75230, 101608, 6, 170355, 4667, 4, 5666, 29766, 7369, 163139, 2442, 20911, 1470, 75230, 4667, 230764, 4838, 3373, 4667, 221895, 4, 220224, 170479, 1211, 7746, 6, 101470, 3120, 70845, 4838, 564, 54260, 3131, 22426, 15350, 5, 168892, 163139, 1644, 70845, 4151, 7201, 23173, 364, 23173, 10918, 4484, 27702, 68566, 46053, 3069, 220224, 1211, 496, 28320, 6235, 28317, 125830, 97634, 2932, 123959, 113889, 51723, 3120, 4151, 4269, 48904, 89930, 17824, 2442, 31249, 3523, 109636, 4, 6428, 5, 364, 5, 123959, 6, 113889, 51723, 3120, 874, 54260, 1211, 1470, 54260, 2932, 114436, 14857, 22426, 32184, 2200, 1470, 75230, 4667, 123959, 6, 113889, 51723, 3120, 1285, 40653, 125897, 29434, 54260, 18906, 22426, 28633, 2451, 13982, 5, 7213, 7201, 28714, 5666, 26, 2702, 4, 18553, 5, 1751, 13342, 22426, 92605, 26, 2702, 2200, 29434, 5, 6319, 75322, 65482, 8300, 16580, 26612, 159696, 68697, 93704, 26, 2702, 4, 119055, 13845, 107581, 6235, 7916, 49008, 7746 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1751, 75230, 1211, 76961, 95766, 141211, 114788, 5, 168892, 27702, 68566, 2702, 1470, 75230, 4667, 364, 23173, 10918, 4484, 69512, 6319, 59929, 205416, 4, 119055, 13845, 107581, 3056, 6, 47351, 88771, 26, 4113, 137, 216993, 68697, 128083, 905, 2004, 6, 238144, 1644, 22753, 3056, 190800, 2808, 75230, 2702, 119055, 77188, 3069, 220224, 1211, 1285, 32054, 75230, 3120, 9174, 26, 6319, 59929, 97634, 6293, 2819, 22753, 3056, 1285, 137127, 17645, 6, 32572, 7916, 18415, 3069, 76961, 220224, 23269, 221067, 1470, 75230, 23741, 47709, 109226, 5, 170479, 1211, 220224, 564, 54260, 20315, 220224, 1211, 6235, 23847, 34533, 4, 13342, 235210, 12483, 7265, 220224, 123073, 114955, 2200, 1285, 4269, 48904, 26394, 10339, 26612, 123559, 4113, 5, 6093, 8903, 1982, 16667, 2882, 1470, 54260, 6093, 6093, 4, 13982, 5, 132213, 657, 5, 7508, 127827, 29771, 6293, 80453, 48350, 5, 3120, 137, 15388, 2442, 31249, 5, 506, 33104, 25207, 69452, 92500, 26394, 1211, 2702, 26, 68313, 114643, 28714, 4838, 186421, 2205, 220224, 23269, 6, 101328, 61621, 5, 6, 5, 6, 5, 13159, 163139, 21295, 7746, 20033, 5332, 22426, 13159, 132025, 25391, 54260, 18406, 73784, 836, 710, 29766, 133671, 15622, 44693, 54260, 3120, 169550, 3944, 18406, 141014, 26, 1211, 87644, 132213, 6319, 59929, 97634, 6293, 5, 95298, 8947, 3056, 220273, 7511, 2882, 6319, 54260, 1211, 657, 54260, 4944, 18415, 1470, 75230, 7201, 119859, 30750, 3069, 8903, 7916, 49008, 1285, 6, 120749, 125897, 119055, 6093, 16932, 4, 199145, 170479, 1211, 1470, 75230, 92904, 133671, 874, 54260, 1211, 3944, 30750, 2200, 4838, 40920, 17310, 13342, 70845, 2205, 1470, 117902, 2442, 6235, 8300, 54260, 1644, 18415, 24377, 19063, 5, 6255, 151614, 1982, 10676, 56170, 8903, 7511, 15388, 3069, 192183, 12483, 169550, 7972, 18406, 15622, 44693, 23173, 6, 113889, 13497, 3069, 952, 4231, 29766, 4, 2200, 43649, 188301, 27702, 119718, 10705, 83182, 2882, 220224, 1211, 1470, 75230, 101608, 29766, 2648, 35596, 192956, 40653, 8903, 8903, 55787, 54260, 2882, 3069, 169550, 1470, 88945, 21106, 4, 220224, 1211, 88771, 26, 6093, 118439, 26, 152185, 9721, 12483, 5, 119718, 120467, 119055, 23173, 63593, 2882, 6, 68558, 6, 17645, 35465, 199145, 107776, 2205, 564, 23173, 9221, 17310, 7265, 70845, 5, 199145, 9213, 46685, 3056, 7369, 7201, 23173, 3111, 51723, 42493, 7265, 7508, 54260, 35465, 4, 133190, 7265, 21934, 850, 26, 2648, 125897, 187483, 4, 42493, 29771, 6319, 54260, 1211, 6, 170355, 4667, 199145, 3056, 3069, 23847, 75230, 2702, 4, 84475, 3069, 19302, 54260, 1211, 56170, 70845, 4, 1470, 75230, 1982, 133190, 22753, 1285, 13497, 220224, 1211, 1470, 88945, 21106, 5, 77775, 52059, 29631, 4, 2702, 29771, 10918, 21106, 78653, 4, 141211, 9616, 206994, 4, 84475, 44064, 4838, 61842, 56170, 4838, 104395, 4, 3056, 56170, 24390, 42493, 3069, 1751, 159696, 2442, 5, 6255, 55242, 70845, 3496, 92904, 6681, 3111, 51723, 4, 2205, 1285, 17824, 75230, 36419, 6319, 13845, 28320, 4, 84475, 95766, 1285, 17824, 13159, 18415, 11211, 64213, 4, 1470, 75230, 1982, 133190, 7369, 3056, 3523, 34365, 44779, 3056, 7369, 9213, 46685, 56170, 47351, 1470, 75230, 33225, 170791, 5, 63864, 2882, 54260, 1644, 213952, 199145, 7369, 37826, 1470, 75230, 111137, 97634, 1211, 230764, 10676, 6235, 94114, 3120, 45949, 65285, 2882, 4, 20315, 20260, 6255, 4, 36324, 8947 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3056, 4838, 186421, 2205, 220224, 23269, 6, 101328, 61621, 4, 36324, 7369, 65146, 220224, 1211, 895, 16932, 3120, 836, 710, 29766, 4, 133190, 6, 98055, 213952, 230764, 220224, 1211, 657, 88680, 32054, 75230, 2200, 119055, 2808, 75230, 28726, 114955, 65146, 6255, 34076, 75230, 18406, 1285, 8300, 39083, 4, 2200, 27702, 119718, 10705, 83182, 1211, 1285, 4269, 119718, 21106, 2648, 29771, 119718, 23269, 6, 114436, 46677, 7265, 119055, 13845, 104238, 7369, 37826, 2205, 220224, 1211, 73486, 64213, 98478, 1470, 75230, 111137, 97634, 1211, 6150, 75230, 46590, 221067, 187483, 5, 4852, 54260, 23269, 32054, 54260, 16747, 2200, 133519, 6, 238144, 46053, 4, 36324, 133880, 220224, 1211, 45949, 23173, 1982, 29060, 37826, 7369, 9174, 55687, 7511, 2882, 56170, 76776, 10813, 13159, 93449, 220224, 1211, 3944, 30750, 10339, 26612, 123559, 4113, 2200, 4151, 8300, 75230, 15388, 83066, 119055, 2808, 75230, 28726, 22639, 18415, 186461, 35596, 37016, 710, 83182, 4, 119055, 13845, 107581, 10339, 39083, 15388, 125523, 220224, 23269, 1470, 88945, 21106, 1211, 2200, 220224, 49008, 1470, 4269, 64260, 2702, 30750, 110970, 17310, 56170, 21106, 4113, 199145, 192183, 12483, 220224, 5, 2648, 29771, 65146, 6255, 70845, 208879, 4838, 224220, 22426, 7972, 96302, 199145, 7369, 37826, 1470, 75230, 2702, 8903, 144581, 18406, 56170, 4852, 54260, 1211, 17190, 1982, 16667, 25491, 21847, 54260, 16932, 1211, 215031, 16175, 54260, 123073, 32054, 75230, 4, 199145, 3056, 34076, 54260, 4667, 7265, 70845, 4, 1470, 54260, 6093, 40653, 193120, 1285, 39293, 1644, 30750, 1470, 88945, 14081, 1211, 2200, 42493, 133190, 43649, 77188, 22753, 70845, 42493, 4, 133190, 45223, 23741, 144754, 2205, 76961, 2702, 4, 2200, 37826, 162926, 56170, 2648, 41595, 4151, 87311, 13497, 3069, 119055, 53414, 2205, 874, 54260, 1211, 27702, 68566, 2702, 17310, 13342, 220224, 1211, 15622, 44693, 54260, 5, 4838, 4231, 17310, 6093, 212915, 163139, 7369, 3056, 6235, 159696, 1211, 4, 2200, 37826, 6235, 119718, 10705, 16803, 215031, 3944, 30750, 22680, 75230, 2702, 3944, 30750, 3069, 6235, 119718, 710, 49008, 5, 3056, 128959, 2376, 31227, 8248, 14325, 5, 168892, 9356, 68566, 2702, 220224, 564, 54260, 35465, 4, 2200, 163139, 110970, 220224, 125523, 657, 48904, 8903, 6, 101328, 61621, 3120, 80839, 40920, 1982, 23173, 6093, 26217, 16932, 187483, 4, 6, 173967, 3120, 220224, 6093, 657, 88680, 10339, 26612, 123559, 4113, 4, 2200, 170479, 12483, 220224, 220224, 1211, 4231, 17310, 2205, 75290, 149364, 2200, 4269, 54260, 16803, 125523, 836, 4231, 29766, 5, 144754, 3944, 30750, 2200, 4838, 40920, 17310, 4, 73418, 50856, 77188, 92500, 4113, 32097, 87311, 121865, 33469, 19785, 2808, 4269, 54260, 34575, 54260, 107581, 6, 78683, 12415, 123073, 4, 710, 6235, 61541, 2882, 220224, 6093, 180141, 4151, 1470, 54260, 2932, 5666, 101503, 123329, 185527, 163139, 132213, 46985, 2702, 97634, 7201, 26, 2702, 32054, 54260, 13497, 10339, 54260, 53414, 220224, 1211, 10339, 25046, 10918, 4484, 4231, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 5, 168892, 151614, 1982, 564, 54260, 1470, 6235, 147713, 5927, 54260, 2882, 174246, 17824, 75230, 2702, 221531, 657, 54260, 43178, 188301, 2808, 60980, 22426, 15907, 13845, 3120, 220224, 23269, 6, 50647, 15050, 5, 37729, 220224, 151614, 1982, 6255, 7746, 23050, 216510, 240989, 7265, 220224, 1211, 4269, 54260, 34575, 54260, 104238, 126230, 710, 123073, 2200, 84087, 27720, 15949, 39340, 32887 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46545, 54260, 96986, 5, 29771, 1982, 119718, 39083, 20033, 220224, 49008, 564, 181980, 54260, 16747, 29060, 159190, 9424, 12483, 8300, 159696, 108968, 4231, 29766, 4, 65146, 6255, 3069, 8903, 18406, 4, 6150, 3373, 26, 506, 64260, 7746, 6681, 20033, 6, 62067, 22426, 1644, 87442, 1470, 3523, 54260, 6093, 60980, 2702, 97634, 6293, 4, 6, 159696, 51723, 168892, 151614, 1982, 2205, 88771, 26, 12483, 78278, 182261, 220273, 7243, 241997, 5, 7243, 43449, 75230, 4852, 1470, 14857, 139394, 4, 133190, 1470, 75230, 4667, 1470, 187667, 123329, 115222, 2865, 59919, 6681, 5950, 8903, 2865, 54260, 23269, 2200, 77775, 2442, 91595, 4, 1470, 6, 159696, 2932, 238144, 168155, 2205, 1470, 54260, 29171, 4113, 364, 24295, 30473, 40920, 1211, 4, 1470, 6235, 23822, 54260, 6093, 6, 119312, 3120, 10339, 39083, 4484, 114788, 4, 199145, 3056, 9213, 46685, 46601, 54260, 2882, 3069, 6, 199511, 30109, 79174, 6681, 178766, 6, 218705, 48904, 14081, 1211, 1470, 88945, 14081, 5, 113889, 4667, 874, 54260, 1211, 874, 54260, 3111, 23405, 3056, 4151, 15622, 44693, 20961, 1470, 177157, 1982, 21106, 37640, 5666, 26, 2050, 1751, 43178, 119364, 119718, 120467, 4151, 137, 1982, 42695, 364, 39293, 89930, 155, 2205, 5950, 8903, 2865, 54260, 1211, 6, 105235, 21295, 7265, 7746, 6681, 4, 292, 1285, 29659, 710, 28726, 4, 6235, 23822, 54260, 4113, 1285, 59461, 3120, 77775, 1211, 119055, 99766, 4, 199145, 57973, 6235, 506, 39083, 33225, 3069, 35189, 506, 75230, 18406, 1285, 77775, 3944, 16932, 2808, 29631, 4, 2200, 40653, 506, 75230, 22426, 2882, 1285, 77775, 41764, 25207, 36419, 95766, 78891, 89184, 46985, 4, 3069, 1470, 17288, 104238, 6093, 874, 212479, 5, 17645, 56169, 6681, 29659, 54260, 6255, 1470, 75230, 4667, 119055, 29766, 46598, 1285, 60980, 2702, 97634, 17748, 220224, 49008, 160751, 35596, 29659, 7265, 6150, 13845, 107581, 6, 61397, 64260, 65482, 114955, 5, 220224, 57973, 7746, 95455, 12023, 35044, 173967, 6681, 2648, 41595, 5, 3120, 86510, 1211, 68889, 64213, 163139, 110970, 6255, 220224, 168677, 19767, 2200, 10184, 28726, 6, 101328, 61621, 69355, 3523, 31623, 192956, 2442, 6235, 39293, 139962, 145702, 192956, 2442, 187483, 6681, 45949, 9616, 5, 13982, 5, 200386, 3373, 158291, 13159, 506, 33104, 25207, 69452, 92500, 8300, 159696, 108968, 2808, 5, 132213, 29771, 119718, 710, 48253, 84514, 6319, 59929, 97634, 6293, 6, 95494, 23741, 4838, 6, 148346, 710, 90536, 64260, 37016, 64044, 1285, 141879, 209, 4231, 29766, 6319, 68558, 6255, 70845, 163139, 1470, 6235, 23822, 54260, 12483, 2200, 40653, 8903, 8903, 30750, 119132, 84514, 3120, 178766, 230191, 76776, 10918, 232187, 67873, 187483, 6093, 56170, 1982, 183512, 292, 2200, 20033, 3056, 43649, 188301, 7972, 1982, 2200, 199887, 119132, 220224, 1211, 44458, 159696, 4852, 5927, 54260, 2882, 2205, 4151, 187483, 564, 54260, 148932, 6235, 147713, 5927, 54260, 2882, 119055, 10705, 62808, 6, 104378, 2205, 46601, 9221, 17310, 292, 6, 238144, 1644, 81444, 37826, 11265, 3069, 160204, 7265, 1470, 115374, 199145, 65285, 2882, 657, 83586, 2205, 1751, 43178, 119364, 6, 109995, 3120, 119055, 99766, 2200, 7265, 99509, 6093, 40653, 8903, 55787, 54260, 2882, 5, 29771, 75578, 5960, 6, 113889, 13497, 119364, 151614, 1982, 6255, 4151, 88660, 13497, 178766, 3944, 18406, 87644, 2205, 10676, 163139, 13497, 6093, 69355, 1112, 11591, 363, 2205, 4151, 27702, 95494, 7201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17310, 3120, 4151, 137, 2808, 5, 3944, 13159, 8580, 12023, 90536, 64260, 37016, 155, 2205, 4151, 6681, 1982, 183512, 6, 88660, 137377, 6093, 26632, 710, 159696, 2442, 6319, 39083, 171433, 17645, 2205, 1285, 9721, 167622, 2702, 5, 35189, 6235, 94741, 20260, 6, 159696, 15388, 4151, 3523, 75230, 2882, 119718, 188301, 54260, 2882, 3120, 1470, 12023, 90536, 64260, 37016, 564, 54260, 4151, 1470, 5, 7972, 13159, 8580, 10339, 39083, 4484, 113687, 2200, 564, 90848, 20260, 101608, 174538, 113687, 119055, 10705, 20033, 220224, 49008, 4838, 144532, 61397, 23174, 21295, 7265, 2808, 6, 144295, 123736, 48974, 48904, 23829, 26394, 2702, 47833, 9213, 47332, 15907, 42180, 2702, 6, 33225, 4151, 21422, 33104, 40920, 13456, 2702, 29771, 10918, 14081, 34533, 152185, 25491, 159696, 2932, 17310, 292, 364, 40096, 7746, 1751, 75230, 1211, 6, 71804, 23405, 1470, 144532, 8903, 226112, 15388, 2205, 178766, 4113, 7508, 54260, 12483, 292, 41064, 13159, 37826, 1470, 75230, 2702, 8903, 98055, 2882, 163139, 5332, 22426, 13159, 101251, 35189, 23847, 54260, 48788, 23173, 13159, 130170, 1285, 101251, 105235, 16747, 1211, 6, 68558, 150349, 21660, 710, 109316, 6235, 75386, 174538, 12483, 5, 92500, 81444, 107776, 87644, 60980, 2702, 97634, 6293, 99509, 7265, 10339, 54260, 6093, 2200, 27702, 2932, 54260, 82576, 17310, 159308, 160238, 31249, 64567, 3069, 6, 95494, 33225, 1470, 12023, 90536, 64260, 37016, 1470, 75230, 33225, 6, 113889, 51723, 3120, 178766, 27360, 1211, 32054, 54260, 13497, 2200, 87644, 26612, 5, 3944, 13159, 8580, 5, 4151, 160238, 3131, 71804, 2932, 119055, 77188, 132025, 139449, 4, 2200, 1470, 19302, 54260, 23269, 6, 139485, 109636, 115374, 119055, 23173, 23741, 4852, 18167, 19532, 54260, 1211, 2205, 4151, 206994, 5, 2205, 4151, 145813, 45631, 43649, 54260, 2882, 132213, 6319, 59929, 97634, 6293, 292, 2200, 81444, 37826, 6093, 7746, 56170, 20033, 6, 62067, 22426, 1644, 87442, 2205, 220224, 1211, 182990, 2442, 4269, 54260, 175483, 6093, 1751, 54260, 20260, 54260, 2882, 2200, 17824, 76632, 8300, 212484, 6093, 3944, 30750, 73784, 6, 229340, 4, 3069, 178766, 230191, 506, 87309, 4113, 2808, 65689, 6, 229340, 2200, 220224, 1211, 56170, 3131, 80453, 54260, 2882, 17310, 5, 2702, 54260, 22639, 35189, 94626, 4, 6681, 1211, 4269, 54260, 1211, 3069, 4151, 187483, 4, 2200, 3373, 54260, 564, 54260, 97634, 2932, 77187, 2205, 1470, 119718, 13497, 2451, 177274, 32054, 54260, 4113, 238419, 220224, 23269, 3056, 120202, 193120, 6235, 119718, 29766, 1211, 874, 232187, 28320, 6, 143409, 3069, 1470, 54260, 1211, 9934, 29766, 2932, 4, 2808, 54260, 1211, 6, 89991, 292, 12023, 104238, 4, 12023, 104238, 6681, 4151, 1470, 5, 3944, 13159, 8580, 12023, 90536, 64260, 37016, 711, 203387, 16175, 52541, 292, 3373, 54260, 41764, 12415, 119718, 174121, 2200, 3373, 54260, 6235, 39293, 1644, 83957, 17748, 28726, 30750, 292, 220224, 49008, 6235, 159696, 1211, 64044, 70845, 123736, 33225, 74, 3069, 6319, 54260, 119132, 3056, 70845, 42493, 1751, 159696, 2442, 6235, 159696, 1211, 3069, 13342, 104378, 4, 6, 87311, 49008, 4, 10339, 142429, 53414, 4, 7201, 23173, 71804, 183216, 292, 12023, 104238, 711, 92500, 564, 88680, 4, 221067, 12023, 104238, 4, 220224, 49008, 6235, 95494, 33225, 6235, 119718, 29766, 1211, 292, 2205, 1285, 12065, 83182, 16932, 2200, 73418, 83182, 16932, 5, 51963, 57973, 6, 193120, 4, 6319, 54260, 59461 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37826, 42493, 120202, 8903, 225975, 2882, 5, 2200, 163139, 42542, 18225, 137377, 225975, 1211, 87644, 60980, 2702, 97634, 6293, 119055, 12483, 7369, 6681, 71804, 23405, 2882, 5332, 22426, 13159, 705, 2200, 1285, 32054, 54260, 2648, 3056, 1470, 23174, 112711, 64213, 8903, 159696, 1211, 220224, 23269, 5, 163139, 1470, 192544, 199145, 46050, 98833, 1470, 6, 71804, 23405, 8903, 2932, 23173, 18415, 6, 149364, 4852, 43178, 192956, 183582, 506, 64260, 7369, 7746, 6235, 22680, 54260, 2882, 7265, 148932, 6235, 95494, 20260, 3120, 1470, 3523, 54260, 46598, 6, 109636, 21733, 12023, 104238, 5, 70845, 3056, 2808, 75230, 4667, 42493, 1751, 159696, 2442, 6235, 159696, 1211, 5950, 54260, 1211, 3069, 6, 226112, 15388, 1285, 41764, 37016, 44779, 2200, 620, 4113, 22426, 1211, 7746, 7265, 220224, 2205, 10069, 6319, 21106, 18415, 163139, 13497, 6093, 18415, 2932, 3120, 19024, 2884, 57277, 2884, 17288, 23093, 29060, 2205, 4151, 9721, 167622, 2702, 4, 2205, 12023, 90536, 64260, 37016, 10918, 46685, 5, 62808, 3056, 1470, 75230, 2702, 130991, 16175, 54260, 1644, 238144, 4852, 1285, 2648, 29771, 4852, 125897, 187483, 3069, 6, 88660, 29766, 10069, 5666, 52541, 292, 2200, 4484, 54260, 5666, 2865, 39083, 4, 18133, 40920, 7746, 4, 3056, 125523, 6319, 54260, 1211, 6235, 39293, 139962, 145702, 192956, 224252, 15907, 905, 42180, 3120, 10676, 3373, 99766, 7511, 2882, 1470, 75230, 2702, 8903, 119718, 92605, 46053, 36324, 75230, 9915, 13845, 292, 36324, 75230, 17190, 25559, 26612, 23741, 5, 87644, 6319, 59929, 97634, 6293, 37826, 76961, 51723, 171433, 8903, 105235, 20911, 7265, 220224, 1211, 34076, 75230, 18406, 2200, 17824, 54260, 158652, 54260, 2882, 3069, 160204, 187483, 5, 92500, 1285, 1470, 5, 3944, 13159, 8580, 12023, 90536, 64260, 37016, 3056, 74806, 160446, 6235, 119718, 29766, 1211, 5, 4151, 10339, 54260, 6093, 192956, 2442, 35189, 73381, 43178, 17310, 2702, 29771, 119718, 13497, 2205, 4151, 44458, 159696, 4852, 5927, 54260, 2882, 3120, 1470, 5, 3944, 13159, 1211, 4, 1751, 5, 3523, 161459, 4, 364, 5, 657, 54260, 119718, 7682, 4, 80453, 7611, 364, 9221, 54343, 54260, 1211, 4, 29434, 5, 1751, 5, 10213, 164863, 29659, 54260, 1211, 4, 5950, 40377, 118025, 364, 23173, 78683, 119718, 710, 4, 99295, 6, 126700, 16580, 16747, 4, 221389, 12415, 25491, 17410, 119718, 4, 874, 5, 1751, 238144, 2648, 4, 3523, 12299, 7972, 17824, 120467, 2200, 10184, 28726, 87680, 160238, 29659, 54260, 6093, 3120, 10676, 230191, 1211, 50931, 29631, 119718, 99766, 292, 3056, 56170, 119718, 183512, 21295, 6235, 119718, 29766, 1211, 2205, 4838, 17824, 75230, 2702, 23173, 46545, 6093, 54745, 87311, 5666, 34575, 215726, 7201, 23173, 178766, 6, 229340, 57588, 2200, 6681, 178766, 17824, 75230, 46053, 1285, 4944, 16932, 1470, 5, 3944, 13159, 8580, 186554, 5, 92500, 2205, 4151, 9424, 54260, 2882, 3120, 1285, 27702, 68566, 2702, 109226, 2200, 105884, 13159, 3056, 87644, 60980, 2702, 97634, 6293, 74806, 57277, 49008, 27702, 3131, 54260, 35465, 6, 68558, 1470, 220224, 2882, 2200, 6235, 4484, 119718, 39083, 1211, 6681, 6, 173967, 55242, 188301, 6150, 1285, 6, 170355, 4667, 3056, 2808, 10339, 129071, 6235, 119718, 29766, 1211, 5, 119718, 2808, 75230, 1644, 3056, 4151, 6235, 39293, 139962, 145702, 199145, 6681, 87311, 98833, 6150, 13845, 107581, 133519, 2200, 33718, 6093, 163139, 84514, 132213, 6319, 59929, 97634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 8300, 5, 1470, 5, 1470, 117997, 3131, 159696, 2442, 70845, 6, 113889, 4944, 8300, 75230, 29771, 15388, 711, 119718, 1644, 103023, 22518, 54260, 18406, 47833, 120202, 85465, 47526, 17310, 3120, 874, 54260, 1211, 87644, 2200, 32054, 54260, 13497, 132213, 60980, 16803, 127827, 4, 657, 75230, 33225, 37729, 56170, 20033, 10184, 28726, 6, 87311, 96302, 1211, 3120, 6235, 39293, 1644, 95494, 23741, 192956, 2442, 187483, 95766, 119055, 13845, 107581, 6255, 7501, 6, 130991, 2205, 564, 23173, 9221, 17310, 7265, 70845, 5, 2200, 8947, 107776, 20033, 1470, 75230, 33225, 8903, 94741, 20260, 4, 36324, 7265, 87644, 6319, 59929, 97634, 33225, 10339, 147713, 2882, 9424, 54260, 2882, 5666, 238144, 4852, 220224, 1211, 1751, 159696, 2442, 3069, 187483, 1211, 5, 4852, 54260, 1211, 657, 75230, 33225, 4, 6, 159696, 67873, 6, 23173, 54260, 5666, 4944, 71577, 1211, 4838, 3373, 4667, 5, 57973, 874, 151461, 6, 97634, 46685, 119055, 29060, 7369, 56170, 235210, 12483, 5, 2451, 4151, 88680, 3056, 564, 54260, 70845, 42493, 29771, 215031, 6, 170355, 4667, 163139, 7544, 79950, 54260, 2882, 4, 42493, 29771, 6319, 54260, 23269, 620, 91595, 4113, 159696, 16932, 1211, 4, 6, 238144, 1644, 18225, 65146, 657, 75230, 33225, 4, 18225, 65146, 160204, 4, 2205, 1285, 10184, 28726, 115222, 3131, 65482, 2702, 21923, 171433, 8903, 29659, 905, 22426, 2882, 112216, 22426, 52541, 7265, 112216, 22426, 9221, 44779, 5, 148932, 112216, 22426, 9221, 1644, 6, 105235, 21295, 56170, 7265, 7746, 47351, 4838, 83182, 224252, 15907, 905, 42180, 4, 6, 47351, 4838, 83182, 9424, 159696, 4484, 4, 2200, 177274, 6, 170355, 4667, 3056, 81444, 4667, 163139, 4944, 46545, 4, 2200, 17645, 20315, 6, 170355, 4667, 6, 94741, 61621, 5, 81444, 4667, 27702, 112304, 29766, 98833, 119055, 25603, 50856, 61621, 5, 564, 14857, 71577, 2882, 7369, 6, 23173, 54260, 1211, 1470, 54260, 29171, 4113, 6, 117397, 3111, 2882, 119055, 905, 29771, 2884, 24390, 3056, 125523, 6235, 90536, 18406, 4269, 54260, 188301, 3120, 193042, 1982, 238144, 3069, 4151, 206994, 5, 65146, 1211, 1285, 1470, 54260, 29171, 4113, 130988, 28320, 1470, 75230, 2702, 8903, 3111, 56169, 119055, 53414, 230764, 3069, 6, 104149, 10676, 84475, 6, 17645, 119132, 56170, 10676, 84475, 17645, 119132, 9424, 159696, 4484, 4, 2200, 6150, 75230, 6, 68558, 1470, 75230, 29111, 6093, 2200, 6, 68558, 1470, 120202, 105235, 1644, 5, 5666, 29766, 1470, 54260, 29171, 4113, 4231, 29766, 163139, 6255, 6319, 68558, 87644, 6319, 59929, 97634, 6293, 6, 149364, 4852, 43178, 44779, 5, 7501, 6235, 159696, 1211, 1470, 87644, 69355, 1470, 116486, 119718, 710, 69106, 43649, 40096, 5, 3120, 9424, 54260, 2882, 3069, 9424, 54260, 2882, 221387, 4, 6150, 2205, 82977, 6, 137218, 24152, 2205, 6, 94741, 1470, 84514, 4, 6, 129071, 710, 119718, 2205, 4151, 71180, 23741, 39293, 89930, 108276, 68558, 2200, 37826, 22639, 30473, 49008, 3069, 6, 128540, 10676, 5, 62812, 155, 32887, 95850, 3131, 230764, 54745, 112304, 13845, 18406, 55522, 163139, 1285, 72577, 1470, 54260, 5666, 8903, 17268, 152848, 159696, 18415, 364, 93975, 9424, 54260, 2882, 109226, 5, 7369, 3056, 95298, 1470, 83182, 3131, 163139, 10184, 28726, 32887, 46545, 4113, 133519, 4, 18225, 6319, 47351, 6, 75322, 39083, 120202, 710, 95494, 64213, 4838, 87644, 44064, 119055, 12483, 18225, 6319 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 68558, 70845, 3120, 4151, 6, 238144, 2882, 16667, 5, 4838, 87644, 3056, 6, 129071, 710, 119718, 2808, 75230, 6293, 4838, 6235, 119718, 21292, 1211, 6235, 94114, 2200, 1285, 6, 129071, 710, 119718, 131044, 204982, 1751, 75230, 1211, 4838, 120202, 3131, 22426, 710, 21847, 17310, 199145, 7369, 68313, 5, 364, 53414, 3120, 87644, 6319, 59929, 57277, 6293, 4, 163139, 46053, 6, 159696, 15388, 1285, 84475, 4231, 65482, 6, 129071, 710, 119718, 131044, 220224, 23269, 68313, 95298, 42493, 6235, 3111, 2932, 4, 95455, 204982, 42493, 6319, 54260, 1211, 99509, 4113, 163825, 6, 159696, 15388, 10676, 4269, 48904, 64213, 87644, 78683, 2702, 57277, 6293, 4, 18225, 65146, 27702, 26612, 1982, 26612, 40920, 1211, 5, 18225, 65146, 6, 104149, 2200, 51678, 220224, 1211, 43649, 188301, 4113, 60118, 77525, 7682, 54260, 2882, 4, 220224, 1211, 43649, 188301, 1211, 657, 75230, 33225, 4, 220224, 23269, 99509, 4113, 115222, 3131, 65482, 2702, 7265, 112216, 22426, 9221, 44779, 4, 2200, 6428, 47351, 84316, 15388, 564, 54260, 7746, 1470, 163825, 3120, 10676, 78104, 22426, 115556, 2200, 87644, 119055, 13845, 12984, 6319, 59929, 97634, 6293, 6, 105235, 21295, 7265, 4852, 18167, 56170, 5, 46598, 21923, 81444, 10184, 28726, 115374, 6, 159696, 15388, 119055, 13845, 107581, 18225, 6, 225975, 2882, 4, 36324, 220224, 21923, 137, 14857, 905, 195054, 20308, 905, 23917, 2004, 220224, 21923, 6681, 4, 37016, 3131, 5666, 26, 2882, 190800, 13342, 215629, 1470, 6235, 119718, 710, 36419, 6, 170355, 4667, 2200, 65146, 1211, 95455, 35189, 215629, 78278, 73784, 4151, 7201, 39083, 2932, 5, 87644, 6319, 59929, 97634, 6293, 3056, 2205, 10676, 6, 109995, 1470, 75230, 4667, 74127, 8903, 4, 564, 54260, 24390, 3056, 95298, 4, 6319, 47351, 18225, 6, 225975, 1211, 4, 81444, 1470, 3373, 4667, 74127, 8903, 609, 26, 1211, 5, 170479, 95455, 220224, 1211, 67882, 16629, 49008, 6681, 1211, 37271, 62812, 2004, 170479, 95455, 220224, 1211, 4151, 6235, 159696, 24152, 95494, 23741, 1211, 6319, 75322, 22426, 54260, 1211, 2205, 5950, 8903, 2865, 54260, 1211, 5, 170479, 95455, 220224, 1211, 4151, 14004, 10069, 3131, 76776, 10918, 232187, 44478, 206994, 6093, 56170, 1982, 183512, 5, 1285, 3944, 13159, 8580, 12023, 90536, 64260, 37016, 2205, 1285, 56170, 5, 1982, 183512, 6, 88660, 137377, 6093, 40096, 710, 159696, 364, 54260, 168155, 4, 1285, 71180, 23741, 39293, 89930, 108276, 68558, 5, 1285, 6, 90848, 4852, 29771, 6293, 46654, 48904, 8300, 17310, 2702, 139485, 22426, 1211, 2205, 141211, 9616, 4, 56170, 3131, 54260, 2648, 65482, 186046, 2882, 54260, 32887, 46545, 54260, 28320, 4, 7369, 3056, 2205, 6, 21106, 7611, 56170, 88660, 40920, 2200, 2205, 6, 21106, 7611, 657, 54260, 98833, 7369, 4838, 159696, 4484, 220224, 23269, 177630, 2200, 220224, 1211, 9424, 54260, 2882, 2200, 220224, 1211, 6, 114436, 46677, 4, 21106, 7611, 2205, 564, 54260, 70845, 163139, 4944, 46545, 2200, 6, 21106, 7611, 6, 94741, 63020, 18225, 160204, 5, 8947, 3056, 95298, 28415, 163139, 30473, 18406, 193012, 2205, 119055, 29771, 4667, 42493, 29771, 4, 18225, 6, 94741, 63020, 1470, 75230, 4667, 4269, 54260, 1211, 2205, 1751, 71577, 206994, 1211, 5, 65146, 18225, 2205, 35189, 12023, 35044, 6235, 90536, 1982, 114436, 9424, 54260, 2882, 6, 23173, 54260, 5666, 4944, 71577, 1211, 4838, 3373, 4667, 4, 65146 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18225, 657, 75230, 33225, 5, 6, 101328, 15388, 7746, 2200, 171433, 101328, 15388, 4838, 3373, 4667, 4, 36324, 75230, 4, 36324, 56170, 1470, 54260, 119132, 199145, 37826, 42493, 1285, 3523, 40096, 9221, 192956, 1470, 54260, 5666, 8903, 1982, 29766, 65482, 2808, 54260, 2932, 5666, 95494, 23741, 1211, 3120, 9174, 87309, 17806, 59929, 48253, 29771, 6293, 37271, 1470, 54260, 56880, 1751, 159696, 2442, 292, 220224, 6093, 1751, 159696, 2442, 70845, 6, 113889, 4944, 8300, 75230, 29771, 15388, 5, 13159, 119055, 39083, 2882, 7746, 6, 159696, 67873, 6, 225975, 1211, 87644, 60980, 16803, 29766, 3069, 220224, 1211, 836, 710, 29766, 133671, 6235, 28317, 125830, 97634, 2932, 4, 47351, 7369, 170479, 4838, 12890, 35044, 1470, 54260, 5666, 234221, 220224, 23269, 81414, 2882, 4, 20033, 6428, 23173, 33225, 70845, 57973, 7265, 7746, 125523, 7201, 23173, 10184, 28726, 4, 10184, 28726, 6, 101328, 61621, 5, 2181, 3056, 42493, 133190, 220224, 23269, 1470, 54260, 2932, 65482, 4151, 23847, 54260, 4944, 17310, 1211, 2200, 1470, 75230, 23741, 47709, 109226, 119055, 13845, 107581, 20033, 27855, 64213, 5, 133190, 1470, 75230, 4667, 1285, 22639, 150349, 9221, 215726, 119055, 13845, 107581, 7369, 204982, 40653, 144754, 220224, 23269, 564, 54260, 3131, 22426, 159993, 3069, 221895, 5, 95298, 20033, 6, 238144, 46053, 36324, 169550, 4113, 5332, 25605, 3069, 70845, 159696, 67873, 42493, 45223, 33225, 4, 7369, 119055, 29060, 2200, 65146, 4269, 54260, 1211, 220224, 1211, 1470, 75230, 2702, 8903, 226112, 18415, 119132, 6, 159696, 2932, 4, 7369, 6319, 68558, 7746, 7511, 2882, 120202, 128540, 5, 163139, 110970, 1211, 20033, 70845, 5, 9934, 21106, 7369, 6, 57277, 39340, 132025, 2932, 54260, 1211, 7265, 220224, 23269, 6, 129071, 710, 119718, 131044, 1211, 64260, 36324, 75230, 163139, 7369, 10184, 21295, 36324, 7369, 6, 94741, 63020, 132025, 2932, 54260, 1211, 5, 125523, 657, 171433, 8903, 4, 657, 48904, 8903, 6, 101328, 61621, 5, 73418, 50856, 77188, 92500, 25603, 115650, 1211, 2865, 5, 15864, 36326, 119718, 31623, 16580, 198087, 59929, 97634, 6293, 418, 46598, 31807, 104855, 506, 2200, 15533, 1751, 75230, 1211, 132213, 6319, 59929, 97634, 6293, 1470, 75230, 4667, 4838, 19550, 71070, 20560, 711, 24621, 7511, 17288, 22426, 710, 21776, 2882, 75230, 2442, 16667, 5, 159696, 1211, 42493, 220224, 23269, 17824, 75230, 4113, 364, 29766, 2200, 119055, 12483, 42493, 1285, 40653, 9424, 238144, 9424, 141943, 105330, 4231, 29766, 119718, 120467, 220224, 49008, 1751, 75230, 1211, 6681, 88680, 22753, 13497, 6255, 151614, 1982, 7746, 240989, 7265, 70845, 2200, 3496, 92904, 4852, 18167, 6235, 226112, 33225, 7265, 70845, 230764, 6681, 3131, 54260, 2648, 65482, 160751, 161577, 2200, 2205, 6681, 3131, 54260, 2648, 65482, 8300, 238144, 15388, 3120, 169550, 9356, 159696, 2932, 17310, 119055, 39083, 2882, 6255, 7746, 42493, 241997, 6681, 128540, 4, 36324, 64260, 4151, 564, 23173, 54260, 20315, 119718, 2648, 123329, 4, 43649, 188301, 6, 75322, 12890, 42180, 168155, 2200, 43649, 188301, 6, 114436, 62073, 89184, 17310, 6093, 6, 212915, 3056, 1751, 75230, 1211, 10339, 25046, 10918, 4484, 4231, 29766, 6, 186955, 5, 7501, 6255, 220224, 6093, 3069, 211630, 1211, 7265, 4151, 8903, 147713, 5927, 54260, 2882, 4, 199145, 4151, 15622, 17160, 204982, 220224, 23269, 9424, 39083, 2442, 54260, 107581, 32054, 54260, 13497, 4, 221067, 32054, 54260, 13497, 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 ]
[ 84514, 448, 4, 3069, 27702, 68566, 46053, 87644, 2200, 69512, 6319, 59929, 97634, 6293, 2200, 220224, 6093, 10339, 26612, 123559, 4113, 2200, 119718, 41595, 81829, 220224, 54803, 6681, 10069, 194734, 9721, 14540, 2200, 5950, 2648, 120467, 26217, 125830, 6681, 220224, 123073, 43057, 850, 104855, 850, 2200, 88771, 1751, 54260, 119132, 230191, 1211, 1470, 88945, 21106, 78653, 4, 199145, 57973, 220224, 43649, 188301, 9356, 21847, 54260, 2882, 2200, 27702, 21847, 54260, 28320, 220224, 7369, 20760, 14945, 5, 13342, 74004, 51723, 7265, 874, 54260, 1211, 32899, 123559, 4113, 163139, 13497, 81829, 20033, 220224, 125523, 10184, 28726, 6, 101328, 61621, 3120, 9183, 105405, 4, 173102, 6293, 12666, 175483, 54260, 2882, 2200, 32887, 46545, 54260, 2882, 2200, 151614, 33225, 3069, 10339, 54260, 53414, 22639, 2808, 54260, 119132, 220224, 6093, 105780, 6293, 92500, 30473, 1982, 21660, 7682, 4231, 29766, 133671, 15622, 17160, 2205, 6, 111506, 3120, 169550, 4113, 151614, 150020, 109226, 5, 35189, 15622, 44693, 54260, 88660, 2865, 131044, 6681, 2648, 41595, 54803, 1470, 6, 54260, 25391, 113318, 56170, 208879, 1285, 6235, 147713, 5927, 54260, 2882, 3069, 10184, 28726, 115374, 3069, 4151, 8300, 54260, 67873, 56170, 4151, 6, 159696, 21295, 163139, 8947, 17190, 47332, 2200, 119718, 9221, 20911, 6, 47351, 169550, 123329, 4, 1470, 75179, 3111, 2648, 123329, 4, 42493, 1470, 34671, 201239, 4, 133190, 18133, 46985, 3120, 7201, 39083, 4484, 4, 199145, 6, 80453, 29060, 141943, 54196, 42493, 230764, 6, 104151, 850, 4, 2200, 81444, 4667, 37826, 7369, 17824, 75230, 36419, 56170, 2648, 171127, 1211, 4, 18133, 46985, 56170, 19302, 54260, 23269, 1470, 75230, 23741, 47709, 183216, 4, 119055, 13845, 107581, 6, 215629, 3069, 17824, 75230, 36419, 4151, 23847, 54260, 4944, 109226, 5, 8947, 3056, 42493, 3523, 75230, 46545, 1470, 75230, 2702, 50205, 4113, 1982, 171428, 51963, 1470, 75230, 23741, 47709, 109226, 119055, 13845, 107581, 4269, 54260, 12483, 13342, 2050, 30109, 16870, 15907, 3120, 87644, 60980, 2702, 97634, 6293, 4, 95298, 1470, 54260, 29171, 4113, 163139, 1644, 6255, 4151, 87311, 49008, 4, 9747, 2882, 54260, 1644, 238144, 4852, 6, 51172, 45629, 146873, 162642, 52541, 87644, 132213, 6319, 59929, 97634, 6293, 5, 6255, 163139, 1644, 81444, 4151, 87311, 49008, 1285, 609, 136187, 3120, 6319, 59929, 97634, 17748, 98478, 2205, 564, 90848, 54561, 119718, 15350, 5, 169550, 9356, 159696, 2932, 17310, 3056, 125523, 6428, 47351, 8903, 159696, 1211, 4231, 17310, 2200, 6, 29766, 46598, 2205, 177630, 4, 95298, 4151, 7201, 23173, 7265, 4838, 3373, 4667, 6, 125942, 710, 119718, 131044, 4, 92500, 7265, 125523, 17824, 13159, 123073, 163139, 30473, 239162, 1211, 5, 20033, 4, 1285, 6, 139485, 109636, 75619, 2200, 133519, 4, 199145, 506, 29771, 18406, 6235, 28726, 47332, 2200, 6235, 119718, 9221, 20911, 2205, 564, 90848, 54561, 119718, 15350, 220224, 49008, 42493, 1470, 54260, 5666, 2865, 39083, 6, 23173, 54260, 1211, 2205, 64044, 8300, 238144, 21066, 17310, 236512, 169550, 177630, 29766, 141564, 54260, 2882, 2200, 364, 84577, 17494, 29025, 4484, 54260, 2882, 3069, 4151, 50856, 54260, 12984, 17824, 75230, 36419, 6, 170355, 12984, 5, 95298, 6319, 59929, 97634, 6293, 10339, 147713, 2882, 7265, 220224, 1211, 43649, 188301, 1211, 72577, 11556, 46545, 1211, 137377, 15231, 2865, 78653, 4, 101251, 35189, 36326, 22426, 192956, 6, 114436, 46677, 2200, 7544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29260, 46104, 123329, 6, 80453, 125942, 710, 38596, 54260, 2882, 6, 26394, 23822, 54260, 18406, 1285, 119055, 39083, 4484, 16667, 3120, 58826, 29260, 2200, 4151, 11556, 46545, 1211, 3069, 6, 238144, 16932, 2648, 123329, 6, 129071, 710, 119718, 131044, 7201, 23173, 4151, 84475, 4231, 114436, 6235, 39293, 1644, 95494, 23741, 192956, 2442, 32887, 46545, 54260, 2882, 5, 36324, 75230, 3056, 6235, 159696, 1211, 7265, 35189, 184639, 6, 76776, 10918, 232187, 1644, 48775, 103023, 21106, 6093, 131397, 4113, 4, 7265, 10676, 9721, 35596, 3131, 3120, 6, 76776, 10918, 232187, 67873, 187483, 6093, 56170, 1982, 183512, 4, 7265, 4151, 27702, 159696, 2932, 17310, 6681, 1211, 77775, 1211, 192183, 23847, 13159, 92500, 10184, 28726, 221895, 32887, 46545, 54260, 28320, 3120, 169550, 27702, 159696, 2932, 17310, 5, 6319, 59929, 97634, 6293, 3056, 6235, 159696, 1211, 119718, 710, 1470, 72577, 6093, 6235, 23822, 54260, 6093, 10339, 64260, 6093, 4, 199145, 9934, 29766, 98833, 7746, 56170, 148932, 564, 92605, 159696, 17017, 4113, 4944, 4484, 54260, 2882, 69355, 220224, 1211, 32899, 123559, 4113, 4, 43649, 188301, 17824, 54260, 2882, 3069, 160204, 1470, 61842, 119055, 12483, 7369, 37826, 133190, 6235, 46590, 2882, 4, 36324, 107020, 710, 89930, 3523, 75230, 46545, 4113, 7746, 2205, 10676, 5, 220224, 23269, 43057, 850, 181524, 220224, 49008, 43649, 188301, 137377, 8903, 36326, 56169, 6235, 119718, 29766, 1211, 3120, 169550, 4113, 133519, 2200, 75619, 4, 220224, 1211, 364, 75230, 4852, 2205, 43649, 188301, 6235, 159696, 1211, 1285, 364, 54260, 2050, 119055, 10705, 3069, 4231, 114436, 9424, 54260, 2882, 57973, 20033, 241997, 6, 104378, 3373, 54260, 2205, 87311, 96302, 1211, 3120, 4151, 506, 75230, 219537, 54260, 2882, 2200, 3373, 54260, 2205, 6, 87311, 96302, 1211, 3120, 6, 89930, 5, 3069, 4231, 114436, 9424, 54260, 23093, 29771, 1982, 6255, 4, 1470, 6, 94741, 20260, 874, 54260, 23269, 56170, 12890, 16747, 109226, 7265, 10676, 6, 26394, 120580, 3120, 169550, 25491, 159696, 2932, 17310, 4, 6235, 192575, 2882, 120202, 3131, 119718, 34557, 1211, 874, 54260, 23269, 657, 54260, 16803, 109226, 2205, 564, 90848, 54561, 119718, 15350, 4, 95298, 95455, 506, 64260, 42493, 241997, 132025, 163398, 220224, 6093, 6, 71804, 23405, 5, 125523, 4838, 564, 165592, 31212, 564, 54260, 6319, 59929, 97634, 33225, 84475, 69355, 70845, 3069, 20033, 4, 37826, 7746, 874, 54260, 1211, 6, 125942, 710, 119718, 131044, 163139, 35189, 192183, 26394, 120580, 54196, 2205, 1982, 90848, 54561, 119718, 15350, 5, 95455, 207013, 3056, 1470, 75230, 4667, 6235, 159696, 1211, 4151, 10339, 21106, 7265, 221895, 133519, 5, 68313, 1470, 54260, 59461, 6235, 119718, 29766, 1211, 41764, 182879, 119718, 236512, 4151, 84475, 47833, 1470, 83182, 157175, 37826, 46985, 2702, 97634, 6293, 6235, 46590, 2882, 4, 6150, 18225, 65146, 10676, 87644, 98252, 13458, 54260, 183216, 3069, 4151, 187483, 2200, 13342, 4151, 9356, 159696, 2932, 17310, 4, 2200, 36324, 75230, 2205, 6, 21106, 7611, 2205, 199145, 6319, 59929, 97634, 6293, 3056, 6235, 159696, 1211, 56170, 2808, 41595, 6093, 13159, 54196, 5, 2200, 2205, 199145, 3056, 7369, 42493, 6235, 159696, 1211, 56170, 2808, 41595, 6093, 13159, 54196, 705, 119055, 29766, 448, 119718, 710, 42542, 18225, 95455, 14856, 15533, 220224, 1211, 10676, 3944, 18406, 4, 72577, 1211, 87644, 2200, 32054, 54260, 13497, 6319, 59929, 97634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 705, 7201, 23173, 20033, 3056, 6319, 59929, 97634, 6293, 43649, 188301, 6235, 159696, 1211, 4151, 177157, 1982, 39083, 3120, 7369, 16667, 158652, 54260, 2882, 4, 1470, 75230, 7201, 120749, 7682, 54260, 2882, 2200, 2190, 69708, 238144, 183599, 26612, 23741, 1211, 1470, 88945, 21106, 78653, 5, 168892, 564, 93704, 75230, 6093, 220224, 6093, 4, 199145, 158628, 16667, 107776, 20033, 42493, 1470, 75230, 2702, 3069, 6, 186145, 33225, 4852, 18167, 123736, 7201, 16932, 7265, 6319, 59929, 97634, 33225, 5, 6255, 7501, 95298, 3069, 211630, 1211, 4, 199145, 4151, 30109, 54260, 4852, 4, 2205, 159696, 1644, 12984, 6319, 59929, 97634, 6293, 56170, 75290, 2882, 4, 37826, 7746, 1470, 75230, 2702, 8903, 13458, 54260, 16932, 2882, 2200, 220224, 1211, 163139, 24152, 17310, 7201, 186955, 230764, 1470, 17824, 13159, 53414, 30109, 54260, 4852, 5, 4852, 39083, 220224, 1211, 160751, 35596, 29659, 4151, 90709, 199145, 163139, 2442, 20911, 5, 4852, 39083, 1211, 220224, 1211, 6235, 29659, 23173, 20911, 1285, 364, 35596, 199145, 6, 95494, 33225, 5, 4852, 39083, 1211, 169550, 4113, 2200, 76961, 87680, 16667, 9721, 14540, 27702, 21847, 54260, 28320, 87644, 2200, 69512, 78683, 2702, 97634, 6293, 125523, 10184, 28726, 6, 101328, 61621, 230764, 220224, 6093, 17190, 1982, 16667, 159696, 2932, 3120, 4838, 1751, 54260, 119132, 230191, 1470, 88945, 14081, 34533, 65689, 98478, 5, 26612, 1285, 76776, 2865, 40697, 6319, 48775, 23741, 62808, 27702, 68566, 46053, 87644, 132213, 6319, 59929, 97634, 6293, 3069, 220224, 1211, 836, 4231, 29766, 133671, 15622, 44693, 54260, 5, 874, 54260, 1644, 2865, 39083, 119055, 10705, 83182, 1211, 20033, 7746, 163139, 36324, 75230, 4838, 19302, 54260, 23269, 123736, 48974, 48904, 15533, 9221, 18415, 6, 139485, 109636, 7265, 714, 4231, 29766, 72631, 7682, 2205, 1285, 7508, 54260, 12483, 3120, 1285, 41764, 25603, 7972, 157859, 2200, 230191, 6, 76776, 10918, 232187, 67873, 206994, 6093, 56170, 1982, 183512, 4, 37826, 6235, 88660, 13497, 1470, 75230, 2702, 14004, 18406, 4838, 163139, 24152, 17310, 2200, 10372, 109636, 506, 230764, 1285, 9721, 54260, 18415, 77775, 101296, 46053, 2205, 4838, 46685, 125897, 56170, 10676, 6235, 94741, 20260, 3120, 141211, 9616, 4, 2200, 56170, 4151, 52059, 29631, 13845, 6093, 206994, 81444, 2205, 4838, 46685, 125897, 5, 4852, 18167, 564, 92605, 43178, 186797, 7265, 87644, 6319, 59929, 97634, 6293, 6319, 68558, 18225, 10676, 6, 35596, 59919, 657, 54260, 40920, 6235, 7916, 49008, 5, 84514, 6319, 59929, 97634, 6293, 3056, 1470, 54260, 59461, 3120, 4151, 6, 139485, 109636, 133519, 199145, 57973, 7265, 17824, 75230, 2702, 6, 114436, 46677, 92500, 40653, 8903, 8903, 1982, 114436, 206994, 4, 6235, 119718, 10705, 49008, 56170, 7746, 6, 26394, 47526, 123329, 2200, 12065, 83182, 16932, 4, 119718, 120467, 57973, 7746, 6, 190135, 73784, 6428, 171127, 10676, 21422, 9416, 16803, 13456, 2702, 29771, 10918, 21106, 34533, 65689, 6235, 94741, 20260, 5, 78683, 2702, 97634, 6293, 2205, 6, 47351, 123736, 48974, 48904, 15533, 173149, 4, 3056, 43649, 188301, 1285, 1285, 76776, 2865, 40697, 6319, 48775, 23741, 199145, 105235, 21295, 7746, 42493, 120202, 6681, 6319, 54260, 1211, 1751, 159696, 2442, 7682, 54260, 28320, 5, 162726, 114436, 4, 1470, 75230, 1982, 220224, 21923, 132025, 139449, 8903, 119718, 29766, 1211, 4, 6428, 23173, 33225, 220224, 119055, 53414, 190800, 8903, 7916, 33716, 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 ]
[ 4151, 88680, 3056, 87644, 6319, 59929, 97634, 6293, 36324, 75230, 564, 23173, 7972, 47332, 564, 54260, 169550, 4113, 133519, 2200, 564, 54260, 1285, 6, 129071, 710, 159696, 33718, 6093, 2205, 56170, 1982, 183512, 2200, 6, 172060, 13845, 31623, 16562, 5, 119718, 41595, 81829, 20033, 564, 54260, 4151, 6235, 147713, 5927, 54260, 2882, 87644, 6319, 59929, 97634, 33225, 4, 220224, 23269, 9424, 238144, 18415, 10339, 25046, 10918, 4484, 4231, 99766, 29060, 18640, 4484, 54260, 2882, 170479, 220224, 1211, 36324, 75230, 22639, 18415, 16667, 710, 119718, 2200, 80839, 40920, 1982, 23173, 163139, 1285, 200795, 5, 170479, 220224, 1211, 119718, 710, 24152, 17310, 6, 199511, 125523, 17824, 13159, 123073, 21776, 124740, 57277, 28320, 5, 3131, 5, 6, 28317, 29659, 54260, 1211, 36419, 25616, 29060, 23173, 3523, 5, 4231, 5, 43649, 64260, 88660, 2865, 131044, 4, 155787, 5, 6, 76776, 8300, 5, 4838, 68697, 5, 56170, 1982, 183512, 5, 506, 33104, 25207, 69452, 92500, 5666, 54260, 57619, 12483, 1982, 26612, 68566, 2702, 17310, 3069, 4838, 33718, 6093, 56170, 1211, 77775, 1211, 6, 76776, 10918, 232187, 1644, 10339, 29771, 47526, 88680, 2200, 27360, 26, 6093, 87644, 4, 132213, 6319, 59929, 97634, 6293, 152, 168892, 27702, 68566, 2702, 1470, 54260, 4667, 364, 23173, 10918, 4484, 4, 232436, 1470, 54260, 6093, 10339, 25046, 10918, 152194, 1211, 6235, 28317, 125830, 97634, 2932, 4, 92500, 163139, 13497, 1470, 54260, 4667, 10184, 28726, 6, 101328, 61621, 3120, 6, 149364, 4852, 43178, 7972, 12984, 34076, 7682, 2200, 6235, 39293, 1644, 95494, 23741, 149010, 18415, 46545, 54260, 2882, 5, 35189, 77775, 2442, 137, 1982, 42695, 364, 39293, 89930, 155, 3056, 6235, 159696, 1211, 4151, 6, 74897, 119718, 29771, 119718, 29171, 3120, 35189, 3944, 16932, 40096, 14303, 5, 6, 21106, 54260, 1211, 4838, 23050, 78651, 4, 95298, 4, 4838, 6, 119859, 69106, 564, 93704, 54260, 2882, 192539, 58729, 1211, 4, 92500, 564, 16580, 2205, 77775, 64769, 33188, 4, 10339, 147713, 2882, 7369, 56170, 506, 161577, 1285, 134607, 448, 2200, 22518, 54260, 75578, 3120, 17824, 75230, 36419, 186421, 26, 1211, 2200, 6, 189098, 7201, 23173, 105235, 16747, 161829, 1211, 5, 185758, 4, 87644, 6319, 59929, 97634, 6293, 4, 27702, 30473, 56169, 4, 1470, 75230, 101608, 1285, 1470, 75230, 1982, 83182, 87311, 194734, 48277, 850, 4, 2808, 75230, 4667, 4838, 3373, 4667, 6, 114436, 46677, 56170, 6235, 39293, 1644, 95494, 23741, 149010, 2442, 206994, 5, 56170, 10184, 28726, 6, 101328, 61621, 506, 64260, 11265, 6235, 119718, 9221, 20911, 2200, 6235, 506, 39083, 33225, 6, 95494, 33225, 10184, 28726, 224252, 15907, 905, 42180, 2702, 4, 6, 76776, 10918, 232187, 28726, 2200, 657, 218241, 21106, 4113, 5, 40653, 506, 75230, 22426, 2882, 3056, 1470, 54260, 6093, 56170, 8300, 238144, 2932, 18415, 206994, 1644, 104855, 609, 19532, 1211, 9616, 55242, 46244, 132025, 8903, 104149, 5, 56170, 26, 1211, 6, 76776, 10918, 232187, 1644, 10339, 29771, 16747, 4, 20632, 56169, 11265, 2808, 75230, 2702, 177274, 6235, 147713, 5927, 54260, 2882, 4, 3069, 564, 23173, 54260, 104238, 1211, 220224, 23269, 6, 230546, 5, 66317, 59450, 77525, 4667, 2339, 2568, 24244, 14236, 144754, 17824, 75230, 2702, 4838, 40920, 17310, 4, 874, 5, 1470, 5, 55242, 1644, 122623, 79761, 87442, 29766, 155787, 5, 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 ]
[ 76776, 8300, 5, 10339, 29771, 16747, 4, 82977, 6, 101328, 24152, 5, 1982, 26612, 68566, 2702, 17310, 3120, 133519, 55242, 89930, 2205, 141211, 9616, 132, 47351, 1470, 75230, 2702, 13342, 2932, 3120, 4838, 78956, 119718, 5, 25933, 203232, 11211, 6, 78683, 2050, 101328, 6293, 37826, 4151, 234221, 37640, 66293, 137, 21733, 18340, 41764, 25603, 7972, 17297, 17268, 2050, 95766, 25282, 146026, 5, 1470, 54260, 5, 2200, 3056, 132025, 23269, 104378, 119055, 12483, 4151, 6, 235210, 22849, 31212, 3056, 1751, 75230, 1211, 6235, 159696, 1211, 2205, 6, 80453, 13159, 194, 609, 1644, 146026, 4, 106, 28320, 6, 113889, 159696, 108020, 4, 61540, 5, 1644, 88680, 87644, 6, 78683, 2050, 97634, 6293, 5, 292, 56976, 711, 5, 27, 364, 54260, 13497, 4838, 119718, 13497, 57973, 20033, 7746, 56170, 905, 75322, 21295, 4838, 3523, 15529, 109636, 133519, 3120, 137, 62812, 710, 2200, 37640, 66293, 37271, 21733, 18340, 41764, 25603, 7972, 17297, 64991, 710, 2200, 20033, 57973, 48494, 76961, 7508, 6093, 87311, 13497, 7265, 172033, 1470, 54260, 6093, 836, 710, 29766, 133671, 15622, 44693, 54260, 5, 62808, 4, 1470, 54260, 123073, 133519, 3120, 19532, 1211, 114788, 4, 199145, 57973, 6235, 506, 40096, 1285, 6, 195054, 43178, 5927, 54260, 2882, 7265, 1470, 54260, 4667, 7746, 3069, 1982, 92605, 239162, 1211, 23050, 506, 13497, 6093, 86296, 1470, 54260, 6093, 564, 165592, 31212, 2205, 6, 212394, 5, 163139, 13497, 81829, 1470, 54260, 4667, 657, 48904, 8903, 6, 101328, 61621, 2200, 80839, 47332, 1982, 23173, 4113, 23173, 1982, 29060, 202229, 141211, 114788, 2200, 2190, 50856, 168155, 23050, 94741, 20260, 57588, 2200, 3120, 230191, 1211, 29434, 905, 75290, 23173, 30750, 16932, 1982, 79989, 5, 20033, 163139, 13497, 81829, 1470, 54260, 4667, 2200, 219047, 5, 36324, 20033, 170479, 1211, 6, 75230, 4667, 1054, 12483, 2205, 19532, 1211, 114788, 2200, 206994, 1211, 8300, 119718, 75322, 12483, 202229, 21776, 2050, 6, 212394, 2200, 169550, 10339, 26612, 4667, 5, 87637, 6319, 71577, 1644, 47351, 15, 2442, 6093, 82977, 710, 29766, 75290, 67882, 16629, 7511, 16803, 194, 37826, 7265, 4151, 7201, 39083, 2932, 1470, 54260, 5666, 23269, 105235, 21295, 1285, 3523, 54260, 6093, 2808, 57277, 10918, 68558, 1982, 26612, 16629, 1211, 159308, 48706, 123073, 64260, 710, 27720, 75230, 2702, 29659, 40096, 17310, 4, 2200, 76961, 9213, 905, 2205, 10213, 119364, 6, 29766, 164863, 17310, 5, 230764, 35189, 10339, 54260, 6093, 17310, 5, 199145, 3056, 6235, 159696, 1211, 2205, 6, 5, 62812, 710, 15200, 61722, 21776, 2050, 137, 17410, 2884, 3523, 54260, 1211, 155, 3120, 4151, 3523, 54260, 6093, 67882, 16629, 1211, 5, 506, 64260, 120522, 51453, 26612, 3131, 29771, 119718, 4151, 87311, 13497, 7265, 17824, 75230, 2702, 6, 94741, 20260, 1285, 12065, 79422, 55242, 89930, 3120, 4838, 46685, 125897, 5, 199145, 57973, 165592, 75230, 84087, 6235, 506, 39083, 33225, 564, 54260, 2050, 6319, 75230, 33225, 1285, 67882, 16629, 49008, 5, 2200, 11265, 5, 56170, 29659, 54260, 2882, 7746, 4, 1054, 35596, 5, 163139, 47783, 4, 6235, 159696, 1211, 2442, 6093, 160204, 8903, 75578, 3120, 7508, 6093, 206994, 5, 364, 23173, 10918, 39340, 6, 139485, 46053, 3120, 219047, 76961, 51723, 5, 56976, 711, 16272, 108973, 711, 8300, 119718, 65689, 1285, 130170, 23269, 710, 126700, 65482, 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 ]
[ 33225, 9721, 32097, 220224, 49008, 81444, 152, 4231, 5, 7508, 119718, 5666, 75230, 1211, 152, 163849, 7508, 70380, 8580, 2648, 1982, 7508, 70380, 9221, 163849, 80839, 23847, 4231, 5, 55242, 9221, 2808, 2819, 874, 5, 67826, 1644, 15289, 152, 6, 71430, 2819, 874, 5, 6031, 127209, 147065, 2819, 874, 5, 657, 75230, 16667, 152, 4484, 91275, 64310, 2819, 4231, 5, 47940, 25616, 2819, 212793, 19550, 2819, 171631, 6, 150349, 79950, 2819, 91799, 102506, 12, 25093, 15307, 102506, 74, 3373, 5, 6319, 22426, 67873, 17824, 3131, 2884, 25616, 33104, 17160, 2442, 2819, 41764, 12415, 2819, 167048, 59929, 2050, 15, 26612, 46050, 16803, 28726, 75578, 87644, 3120, 163139, 1211, 194, 2200, 1470, 54260, 29171, 4113, 221895, 5, 159696, 195164, 5816, 38461, 1054, 54260, 23269, 905, 42493, 19302, 29766, 40105, 5, 4231, 5, 7508, 119718, 5666, 75230, 905, 5, 564, 37016, 5, 41764, 25603, 7972, 17297, 17268, 2050, 5, 61487, 5, 5666, 5, 292, 20033, 1751, 133671, 1470, 54260, 4667, 81444, 1470, 75230, 4667, 6, 47351, 123736, 53414, 144754, 100863, 15435, 6319, 23173, 15231, 1054, 22426, 20260, 2702, 87644, 16, 3120, 178766, 19302, 18340, 5, 69355, 4151, 10339, 93704, 2808, 54260, 29171, 18415, 710, 186046, 2882, 54260, 172060, 13845, 710, 157859, 6, 26394, 69031, 157859, 26, 68313, 4838, 9356, 46464, 83182, 6093, 56170, 8903, 7511, 15388, 3069, 27702, 68566, 46053, 3069, 4852, 165592, 54260, 1211, 9221, 6093, 8903, 8903, 1982, 17268, 7201, 10918, 4484, 4231, 29766, 133671, 2884, 46711, 54260, 12483, 87644, 163139, 132213, 6, 78683, 16803, 82977, 6, 101328, 24152, 3056, 6, 141847, 56170, 69355, 169550, 27702, 159696, 2932, 17310, 6, 101328, 61621, 5, 1751, 75230, 1211, 4838, 9424, 54260, 15231, 905, 44693, 54260, 5, 1285, 32887, 46545, 54260, 11265, 6319, 59929, 205416, 1751, 75230, 1211, 56170, 10184, 28726, 36324, 177274, 1982, 88917, 1211, 7265, 10676, 6, 113889, 51723, 6, 2884, 4151, 186046, 2882, 54260, 49920, 29659, 1285, 9213, 17160, 54260, 98833, 3069, 220224, 1211, 6, 114436, 24295, 2205, 364, 75230, 22426, 2882, 123736, 131445, 119055, 13845, 107581, 364, 26, 6319, 59929, 205416, 18415, 46545, 54260, 2882, 4, 7265, 4151, 7201, 39083, 2932, 10705, 194734, 164863, 63593, 17310, 4, 56170, 30473, 104238, 2205, 160238, 2808, 75230, 2702, 40653, 23269, 219537, 54260, 155246, 36326, 87644, 36326, 364, 84577, 4, 1470, 206994, 4, 220224, 1211, 97995, 65482, 101296, 40920, 32887, 46545, 67537, 171433, 40697, 32955, 6, 48904, 65482, 4, 119055, 87442, 56170, 31249, 29771, 55823, 155, 2200, 2442, 54260, 16803, 7265, 120202, 8903, 29659, 10184, 28726, 4, 10184, 28726, 6, 101328, 61621, 3120, 22426, 23173, 2882, 54260, 37271, 35044, 37016, 93497, 2909, 2200, 163139, 13497, 81829, 70845, 125523, 3120, 1285, 62808, 9356, 5666, 2200, 170479, 7369, 125523, 55242, 42023, 78278, 182261, 125897, 23173, 1982, 29060, 2200, 7265, 23173, 1982, 29060, 37826, 36324, 75230, 46711, 54260, 6235, 39340, 2865, 23741, 76961, 2808, 88945, 21106, 1211, 6681, 119055, 13845, 107581, 7369, 28726, 1982, 172398, 101328, 61621, 67512, 119055, 77188, 506, 54260, 2050, 4, 73095, 25616, 29060, 23173, 568, 5, 14, 1982, 26612, 68566, 2702, 17310, 3120, 4231, 5, 657, 5, 41764, 33716, 9721, 35596, 3131, 19251, 4, 1470, 5, 3523, 5, 4838, 5, 10339, 5, 69355, 4231, 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 ]
[ 657, 5, 41764, 71945, 9721, 35596, 3131, 19251, 4, 13754, 3131, 218705, 29771, 2525, 710, 29766, 133671, 15622, 44693, 54260, 5, 187483, 6093, 10069, 6, 37016, 39293, 9174, 26, 132213, 6319, 59929, 205416, 3069, 220224, 1211, 37640, 66293, 7201, 23173, 1982, 183512, 4, 1470, 54260, 59461, 3120, 1285, 6, 68566, 83182, 3120, 169550, 105250, 710, 119718, 13458, 35596, 3131, 5, 1211, 76961, 84514, 6319, 59929, 97634, 6293, 3056, 54260, 5666, 104378, 2205, 9721, 35596, 3131, 3056, 7369, 6235, 159696, 1211, 6093, 29659, 1211, 166464, 3120, 48253, 4852, 54260, 1211, 2200, 56170, 3111, 51723, 56170, 3131, 54260, 2648, 65482, 6, 75322, 96986, 5, 23173, 1982, 213783, 3120, 7746, 6, 68558, 7265, 76961, 221895, 9424, 238144, 15388, 3120, 20315, 2050, 17953, 104855, 4, 13458, 35596, 3131, 19251, 14764, 119055, 13845, 107581, 48494, 2882, 54260, 105330, 1211, 7746, 2205, 3069, 220224, 1211, 32887, 46545, 27, 137218, 29789, 14081, 34533, 152185, 1470, 84514, 6319, 59929, 205416, 4, 2200, 163139, 110970, 12483, 2808, 75230, 92904, 133671, 4838, 59461, 39340, 710, 52349, 4838, 3373, 4667, 6, 101328, 61621, 2205, 178766, 27702, 159696, 2932, 17310, 5, 113889, 4151, 5332, 17494, 37016, 116105, 159696, 4, 2808, 5, 6, 69181, 212915, 4, 116486, 92605, 2702, 148346, 6093, 2932, 4, 6, 105780, 5, 36419, 15307, 14303, 12415, 26612, 148346, 1211, 1982, 26612, 68566, 2702, 17310, 3120, 35189, 6, 186461, 56170, 1211, 23173, 1982, 29060, 213952, 1211, 20961, 7611, 114788, 68550, 4231, 17310, 1211, 15622, 44693, 23173, 4, 87644, 132213, 6319, 59929, 97634, 6293, 4, 292, 178766, 1470, 75230, 7201, 120749, 7682, 87644, 26, 18415, 1982, 26612, 68566, 2702, 17310, 5, 37729, 220224, 1211, 6, 71804, 23405, 4231, 29766, 133671, 2200, 101251, 88660, 107829, 10918, 239162, 1644, 46711, 54260, 6093, 12415, 49008, 4151, 21422, 9416, 16803, 13456, 3373, 29771, 10918, 21106, 34533, 152185, 27702, 159696, 2932, 17310, 4, 37826, 7746, 87644, 6319, 59929, 97634, 6293, 35189, 29771, 1982, 77188, 6, 47351, 1470, 54260, 2932, 76776, 33716, 125897, 117902, 30473, 42180, 123959, 230191, 1211, 206994, 6093, 98478, 5, 37729, 220224, 1211, 10705, 86212, 2808, 133671, 32887, 2865, 149364, 26612, 96302, 4, 116486, 108264, 15231, 159696, 2442, 657, 54260, 16803, 17310, 2200, 3523, 83586, 26, 2648, 125897, 27702, 10918, 2808, 17310, 4, 68313, 220224, 1211, 564, 54260, 226112, 2932, 3069, 4151, 6, 76776, 10918, 232187, 1644, 52059, 29631, 13845, 6093, 2200, 141211, 114788, 206994, 6093, 18415, 46545, 54260, 2882, 3120, 220273, 4838, 27702, 46464, 83182, 6093, 6, 148055, 5, 88660, 1211, 7369, 27702, 220224, 1211, 15622, 17160, 7265, 43649, 39083, 7611, 17806, 38249, 230764, 220224, 1211, 56170, 240863, 65482, 2050, 98478, 5, 4852, 39083, 7369, 8248, 14325, 220224, 1211, 3069, 6, 104149, 1285, 99509, 4113, 56170, 119718, 710, 24152, 28726, 4944, 17310, 3120, 220224, 23269, 82563, 20635, 2200, 29659, 25207, 1982, 109226, 5, 22426, 67054, 2702, 30109, 22151, 29771, 4, 73095, 25616, 29060, 23173, 5, 1982, 26612, 68566, 2702, 17310, 3120, 6, 75322, 137377, 2882, 54260, 1644, 3120, 6, 54260, 2648, 65689, 119718, 21292, 5666, 95494, 23741, 28726, 12984, 224252, 710, 105515, 506, 88917, 77188, 8300, 238144, 5, 92500, 8300, 119718, 48904, 10918, 4484, 35189, 6, 75322, 137377, 2882, 54260, 1644, 3120, 6, 54260, 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 ]
[ 65689, 163139, 2702, 7511, 26612, 23741, 28726, 12984, 224252, 710, 105515, 27702, 23847, 34533, 364, 23173, 10918, 53805, 46598, 15622, 44693, 23173, 4, 87644, 132213, 6319, 59929, 205416, 4, 3069, 220224, 1211, 10339, 25046, 10918, 16580, 29766, 133671, 160751, 75230, 61621, 97634, 2932, 5, 84514, 60980, 2702, 97634, 6293, 3056, 6235, 159696, 1211, 1470, 54260, 59461, 3120, 1285, 200795, 4, 199145, 37826, 7746, 6, 190135, 2205, 2648, 171127, 3120, 6, 54260, 2648, 65689, 163139, 2702, 5666, 95494, 23741, 28726, 12984, 224252, 710, 105515, 5, 7369, 37826, 6235, 506, 39083, 33225, 6, 235210, 1644, 12483, 12890, 104238, 2200, 15864, 16932, 137218, 67873, 6681, 1211, 224252, 710, 105515, 2200, 3120, 61786, 28320, 4231, 29766, 3056, 7369, 1470, 7265, 97594, 2648, 3120, 6, 75322, 137377, 2882, 54260, 1644, 2200, 364, 186955, 6, 68558, 220224, 1211, 7265, 97594, 35189, 95494, 23741, 6, 68558, 6, 47351, 40653, 54260, 2702, 5, 87644, 78683, 2702, 97634, 6293, 37826, 143064, 1285, 6, 54260, 2648, 40697, 52059, 29631, 2200, 37826, 30795, 20961, 7611, 56170, 1211, 6, 54260, 2648, 65689, 6235, 2648, 55049, 28320, 119055, 99766, 5, 163139, 13497, 81829, 20033, 70845, 125523, 6, 143409, 4113, 6, 101328, 61621, 3120, 3944, 30750, 2200, 4838, 40920, 17310, 56170, 35189, 6, 54260, 2648, 152185, 3944, 16932, 40096, 14303, 2200, 4151, 6, 54260, 2648, 152185, 163139, 2702, 5666, 95494, 23741, 5, 75322, 137377, 2882, 54260, 1644, 3120, 6, 54260, 2648, 65689, 163139, 2702, 191538, 23741, 28726, 12984, 224252, 710, 105515, 1982, 26612, 68566, 2702, 17310, 3120, 105514, 41764, 710, 208182, 10339, 39083, 4484, 564, 48775, 15907, 68558, 13159, 68313, 1751, 159696, 2442, 56170, 219047, 3069, 208879, 6, 47351, 120202, 95494, 8300, 17310, 3120, 87644, 132213, 6319, 59929, 57277, 7201, 26, 2702, 119718, 710, 40920, 18640, 4484, 54260, 2882, 56170, 169550, 131397, 2205, 9721, 54260, 57277, 1211, 5, 6, 238144, 1644, 87644, 6319, 59929, 97634, 6293, 119055, 2808, 75230, 13497, 7369, 3131, 57277, 58571, 26394, 9424, 54260, 2882, 2205, 169550, 6235, 8903, 16747, 5, 95298, 1751, 75230, 1211, 220224, 1211, 6, 104378, 6, 21106, 54260, 1211, 3069, 219047, 95766, 6235, 2932, 16747, 4, 220224, 1211, 6, 76776, 51723, 4838, 75386, 6, 129071, 710, 159696, 2442, 33718, 6093, 2205, 169550, 4113, 131397, 1211, 119055, 10705, 6, 150839, 64260, 133190, 6235, 119718, 2808, 75230, 13497, 2200, 220224, 1211, 6, 104378, 3069, 4838, 22753, 8300, 17310, 3120, 4151, 56170, 119718, 186955, 17310, 95455, 6093, 105235, 874, 39083, 7243, 6, 61397, 25046, 114436, 506, 54260, 2882, 5, 37826, 219047, 6, 193120, 187667, 3069, 28415, 6, 129071, 710, 159696, 23173, 1982, 29060, 4838, 68550, 4151, 131397, 5, 4852, 54260, 1211, 132025, 159696, 39293, 5927, 54260, 2882, 564, 54260, 234917, 3120, 169550, 4113, 66970, 104855, 448, 37826, 219047, 46590, 6235, 506, 39083, 33225, 3069, 6, 95494, 33225, 178748, 28726, 4944, 4484, 54260, 28320, 3069, 6, 188301, 1211, 10676, 657, 53414, 4231, 29766, 159308, 19302, 43178, 119364, 20315, 7916, 10918, 2882, 5, 199145, 4838, 131397, 6319, 68558, 7746, 163139, 110970, 12483, 5, 13159, 3056, 4151, 88680, 564, 54260, 219047, 4838, 17824, 75230, 2702, 56170, 8903, 110317, 12483, 3069, 27702, 68566, 46053, 87644, 132213, 78683, 2702, 97634, 6293, 3069, 220224, 1211, 10339, 25046, 10918 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16580, 29766, 133671, 15622, 17160, 5, 20033, 163139, 110970, 1211, 70845, 6, 69596, 13060, 66970, 2200, 7369, 4852, 21106, 220224, 1211, 564, 103296, 609, 3069, 163139, 2648, 51723, 220224, 1211, 9424, 54260, 2882, 6681, 4151, 224252, 15907, 905, 42180, 4, 56170, 119055, 13845, 104238, 10705, 16747, 168155, 657, 88680, 87644, 6319, 59929, 57277, 6293, 3056, 36324, 75230, 40653, 193120, 76961, 220224, 23269, 6, 101328, 61621, 292, 1285, 7201, 21106, 4484, 131397, 1211, 186554, 2200, 4151, 21422, 9416, 16803, 13456, 2702, 29771, 10918, 21106, 34533, 65689, 6235, 94741, 20260, 57588, 5, 95766, 6, 113889, 51723, 3120, 4151, 67512, 41764, 710, 208182, 10339, 39083, 4484, 113687, 4, 564, 48775, 15907, 68558, 84514, 448, 3120, 4151, 56170, 119718, 186955, 33104, 5666, 152, 1751, 5, 6319, 71577, 1644, 47351, 4, 160238, 75230, 89930, 710, 5, 6, 94114, 86733, 9424, 5, 6, 78683, 7972, 64310, 3373, 5, 874, 54260, 168155, 4, 6, 105780, 5, 564, 37016, 5, 2702, 5, 8009, 13845, 2702, 68558, 1751, 5, 1751, 71577, 710, 90848, 5332, 5, 6235, 1211, 5, 27702, 126700, 2882, 3373, 37016, 5, 2808, 5, 6235, 44478, 874, 5, 9915, 54260, 35189, 1470, 5, 51453, 8580, 5, 6, 44478, 6093, 5, 73418, 50856, 77188, 136108, 54260, 92500, 8300, 119718, 48904, 10918, 46985, 7038, 82576, 3120, 4151, 6, 48904, 39340, 18415, 56170, 1211, 137, 1982, 101328, 23847, 68561, 65689, 17190, 13805, 7682, 68558, 3120, 77775, 39293, 89930, 155, 6, 159696, 15388, 119055, 13845, 104238, 5950, 40377, 118025, 364, 23173, 78683, 119718, 710, 4151, 87311, 13497, 2205, 220224, 1211, 78956, 119718, 132, 4852, 155, 4852, 3912, 121763, 506, 33104, 4667, 77188, 91163, 5, 2808, 119718, 8300, 119718, 48904, 10918, 17727, 6, 113889, 51723, 2200, 10339, 26612, 123559, 4113, 4958, 166464, 4, 101497, 2200, 4231, 29766, 3120, 6235, 28317, 2882, 2819, 8439, 6235, 28317, 2882, 99766, 2819, 29557, 895, 16932, 1211, 2819, 21162, 21776, 29025, 23829, 17310, 2200, 163825, 17310, 152, 808, 19, 163139, 47332, 125897, 6235, 36326, 161829, 1211, 2205, 98478, 152, 49413, 132025, 506, 75230, 1982, 69355, 206994, 2205, 29434, 905, 75290, 10339, 26612, 4667, 12, 1470, 16, 1470, 6, 94741, 20260, 6, 159696, 51723, 152, 564, 16, 2205, 119055, 13845, 104238, 29434, 905, 75290, 54260, 152, 3523, 16, 199145, 7201, 23173, 4838, 3373, 99766, 206994, 705, 1470, 16, 6, 84577, 54260, 1644, 2205, 186046, 2882, 54260, 29434, 905, 75290, 54260, 12483, 4, 1470, 75230, 4667, 101251, 147713, 21106, 4113, 4, 2200, 34654, 119718, 16011, 46545, 4113, 5332, 22426, 15533, 142429, 1211, 2205, 56170, 12890, 16747, 17310, 7265, 4151, 81444, 4852, 123329, 206994, 152, 4879, 119055, 13845, 107581, 9424, 54260, 2882, 109226, 4, 9934, 47750, 76776, 67873, 2200, 221895, 41764, 89184, 142429, 40697, 1470, 75230, 2702, 119859, 1982, 13159, 6235, 506, 39083, 33225, 55242, 26394, 1211, 4, 2205, 230191, 84475, 111616, 4113, 179625, 705, 50258, 225958, 3120, 564, 233364, 194734, 6, 159696, 24152, 2205, 4151, 77775, 2442, 84475, 111616, 4113, 2808, 152185, 3944, 16932, 40096, 14303, 4, 119055, 13845, 107581, 8903, 506, 39083, 33225, 55242, 64213, 84475, 6, 21106, 54260, 1211, 6235, 39293, 56169, 1470, 23174, 48904, 64213, 152, 534, 16, 1470, 75230, 1982, 1470, 75230, 4667, 6235, 97634, 1211, 71180 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 105235, 44478, 40697, 23173, 1982, 29060, 4, 199145, 56170, 4838, 3373, 99766, 187483, 705, 427, 16, 27702, 8903, 2932, 161829, 1211, 7265, 71180, 23741, 105235, 44478, 4, 6, 159696, 195164, 6, 159696, 24152, 8903, 39293, 56169, 4, 2200, 1470, 75230, 1982, 56170, 47351, 36324, 13845, 107581, 4, 132025, 8903, 18406, 5332, 22426, 15533, 142429, 1211, 2200, 27702, 48775, 146873, 120749, 40697, 6, 87311, 96302, 1211, 4, 193042, 710, 159696, 15388, 6, 149364, 4852, 239162, 1211, 4, 6, 51172, 175323, 6, 159696, 15388, 1285, 1470, 75230, 2702, 119859, 1982, 13159, 152, 36682, 1470, 75230, 1982, 1470, 75230, 2702, 8903, 119718, 183512, 77188, 3120, 364, 54260, 2050, 212394, 4, 7201, 23173, 119718, 120467, 2200, 130170, 119055, 13845, 107581, 46601, 23174, 109226, 32, 36682, 34654, 3069, 22426, 59929, 17310, 3120, 7508, 6093, 206994, 2205, 3523, 54260, 46598, 212394, 2819, 423, 16, 6, 84577, 54260, 1644, 2205, 4151, 116486, 55823, 21087, 239162, 44478, 27702, 159696, 2932, 17310, 4, 2205, 29434, 905, 75290, 7201, 26612, 4667, 2200, 2205, 21776, 48775, 207650, 16932, 1982, 26612, 159696, 2932, 17310, 57588, 74, 611, 16, 43649, 188301, 6093, 119055, 2808, 75230, 5666, 99766, 2200, 182261, 125897, 27702, 36326, 23741, 18640, 17310, 74, 729, 16, 163825, 5, 113889, 48788, 75322, 6093, 4484, 17310, 152, 1285, 6, 48904, 39340, 18415, 27702, 10918, 2882, 7746, 42493, 43449, 75230, 4852, 230764, 77775, 2200, 111616, 4113, 2808, 40697, 39293, 89930, 4, 3523, 23173, 1470, 75230, 4667, 230764, 126230, 87442, 20961, 12483, 5, 4838, 364, 2884, 21776, 2050, 119055, 109316, 1211, 1470, 75230, 4667, 6235, 119718, 710, 36419, 77775, 29434, 905, 75290, 4, 80453, 13159, 1644, 54260, 2882, 2200, 1470, 54260, 91275, 710, 83182, 6, 23173, 54260, 5666, 139449, 119055, 53414, 123959, 137, 12890, 171433, 48775, 1982, 65689, 17190, 13805, 7682, 68558, 710, 4, 1470, 75230, 1982, 220224, 159696, 67873, 57973, 5332, 105439, 3069, 21776, 29025, 54260, 12666, 5, 199145, 1054, 39083, 220224, 1211, 112216, 2702, 16747, 6235, 13982, 905, 20911, 3069, 119055, 53414, 2205, 215031, 564, 75230, 1211, 6, 159696, 24152, 5, 95766, 4151, 6, 48904, 39340, 18415, 6, 159696, 67873, 7746, 192183, 12483, 564, 40096, 54260, 105330, 1211, 77775, 2200, 111616, 4113, 2808, 40697, 39293, 89930, 4, 95298, 42493, 11265, 1211, 39293, 89930, 4, 119055, 13845, 30750, 55242, 64213, 221895, 145813, 48775, 12984, 2200, 6, 159696, 207650, 192183, 12483, 42493, 4484, 54260, 1211, 11265, 13456, 84475, 111616, 4113, 179625, 4, 84475, 57973, 6319, 54260, 1211, 17953, 1751, 54260, 14540, 42493, 564, 54260, 2882, 77775, 2442, 84475, 506, 87309, 4113, 2808, 152185, 75903, 89930, 54260, 5, 4484, 54260, 59461, 6, 94741, 63020, 7746, 42493, 98252, 234221, 3120, 22518, 54260, 18406, 5, 44064, 119055, 12483, 7369, 6319, 68558, 6, 35596, 59919, 1211, 133190, 230764, 2808, 54260, 29171, 4113, 32054, 48904, 1211, 4, 2200, 42493, 230764, 4151, 4269, 48904, 89930, 6, 48904, 39340, 18415, 5, 292, 18225, 6319, 68558, 1470, 75230, 4667, 6, 35596, 59919, 1211, 56170, 3131, 54260, 2442, 65482, 3111, 18279, 6093, 9221, 18415, 32054, 48904, 1211, 230764, 1470, 27702, 46464, 83182, 1211, 564, 75230, 15388, 112216, 22426, 9221, 5, 42493, 133190, 230764, 7508, 6093, 6, 59461, 55049, 16932, 6, 48904, 39340, 18415, 5, 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 ]
[ 6093, 137, 12890, 171433, 48775, 7916, 86733, 17190, 13805, 7682, 68558, 3120, 11265, 40697, 1054, 21660, 89184, 119055, 29060, 220224, 1211, 4838, 16175, 54260, 1644, 3120, 4838, 6, 229340, 6, 159696, 12483, 185758, 40697, 55242, 89930, 5, 3069, 119055, 13845, 18406, 7508, 6093, 67882, 16932, 710, 21106, 119055, 77188, 182261, 23050, 144581, 18406, 2200, 3069, 23269, 50856, 54260, 2882, 73784, 6428, 55049, 5, 35189, 199145, 6, 35596, 59919, 2882, 230764, 7508, 6093, 6, 48904, 39340, 18415, 292, 44064, 16175, 54260, 1644, 238144, 4852, 292, 6319, 68558, 1470, 75230, 4667, 132025, 25391, 54260, 18406, 6, 47351, 6, 23173, 46545, 1644, 29771, 35189, 1054, 54260, 23269, 6, 149364, 905, 43178, 28726, 30750, 7369, 2808, 127684, 33104, 49008, 4838, 75386, 75903, 89930, 2819, 7369, 6319, 68558, 1470, 75230, 4667, 22518, 54260, 18406, 6, 159696, 15388, 221895, 14004, 2648, 40697, 75903, 89930, 4, 3373, 54260, 34654, 119055, 13845, 30750, 220224, 49008, 1751, 75230, 1211, 42493, 27702, 36326, 23741, 41595, 564, 54260, 2050, 10339, 26612, 4667, 4, 6, 29766, 6093, 119055, 13845, 107581, 220224, 49008, 3131, 75230, 1211, 42493, 29771, 9424, 119718, 65689, 1285, 17190, 75578, 125897, 5, 10069, 105884, 92605, 42180, 37640, 66293, 137, 28726, 142785, 7682, 17537, 710, 2200, 37640, 66293, 137, 229340, 6, 159696, 12483, 77775, 1054, 21660, 89184, 119055, 29060, 6428, 48904, 92341, 23173, 3523, 54260, 1211, 13342, 76961, 32054, 54260, 13497, 22518, 54260, 75578, 2200, 6, 88660, 147713, 1211, 55242, 89930, 56170, 6, 23173, 75230, 51437, 13845, 33225, 11265, 7265, 163139, 47332, 123329, 22639, 7201, 29766, 5, 2865, 215726, 179352, 5, 67882, 16932, 137218, 67873, 5, 119055, 13845, 30750, 18225, 6319, 68558, 27702, 3111, 64213, 56170, 4838, 905, 26612, 206994, 4, 163139, 1470, 75230, 4667, 7265, 3069, 3131, 133671, 101470, 2200, 6, 93704, 25207, 46053, 3120, 75903, 89930, 4, 3069, 6, 159696, 51723, 34654, 6, 48904, 39340, 18415, 6, 94741, 63020, 292, 657, 75230, 2882, 220224, 6093, 874, 54260, 3111, 23405, 292, 74806, 93449, 119718, 53414, 5, 292, 7501, 182261, 3056, 1285, 6, 48904, 39340, 18415, 3069, 3131, 93449, 6235, 119718, 29766, 1211, 3069, 4838, 97995, 75230, 101608, 9424, 39083, 77775, 2200, 506, 87309, 4113, 2808, 40697, 75903, 89930, 5, 2205, 105884, 92605, 42180, 2702, 3120, 9424, 54260, 2882, 109226, 2205, 56170, 3131, 54260, 2648, 65482, 6, 159696, 21295, 16175, 54260, 1644, 12483, 5, 203387, 6, 35596, 59919, 2702, 170479, 1211, 74806, 93449, 119055, 53414, 1470, 75230, 33225, 4838, 136108, 46598, 37640, 66293, 73095, 25616, 29060, 23173, 3120, 105884, 92605, 10918, 171433, 2050, 4484, 21106, 76632, 14088, 5, 418, 905, 28136, 11, 2832, 7079, 5, 3373, 4, 3131, 292, 31, 618, 10713, 391, 19, 516, 568, 5, 64358, 74039, 18, 46193, 2208, 7514, 5, 799, 478, 87, 748, 127, 5, 6, 5, 2808, 6, 5, 10918, 16175, 54260, 7972, 146873, 2205, 15622, 148346, 15350, 54260, 710, 5, 68542, 44478, 15, 1982, 5, 6, 88660, 119718, 59461, 247, 506, 73136, 29766, 34533, 2200, 117902, 29060, 4, 7265, 65285, 16932, 2205, 37271, 7201, 29766, 159696, 68550, 2909, 2648, 5, 3056, 2808, 78683, 119718, 45631, 4, 4484, 29766, 13159, 204403, 50856, 9221, 192539, 564, 37016, 25207, 174410, 3120, 21776, 93509, 12415, 23741, 39293, 89930, 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 ]
[ 9416, 68558, 2819, 905, 17160, 17645, 34533, 152, 55242, 89930, 92500, 4231, 29766, 87442, 29766, 2205, 137, 97634, 2932, 2909, 3131, 5, 364, 5, 1470, 54260, 69801, 2702, 4, 2808, 54260, 6093, 3120, 39384, 16932, 4113, 55242, 89930, 2205, 4151, 710, 9416, 68558, 12, 206994, 2205, 137, 87311, 95064, 1211, 1054, 47750, 22492, 2442, 5, 2808, 5, 5950, 9719, 4, 204403, 29060, 4, 6, 172060, 73375, 10918, 40920, 2200, 5332, 1982, 54260, 14004, 47332, 5, 5666, 5, 1470, 183548, 4, 7916, 183718, 73095, 25616, 29060, 23173, 3120, 4151, 97995, 42733, 28320, 4113, 4113, 6093, 9183, 5, 905, 5, 4838, 166198, 2205, 137, 7201, 29766, 159696, 33716, 2702, 2909, 9719, 10813, 19532, 123844, 17537, 4, 6093, 13497, 6093, 21776, 94741, 54260, 29766, 3120, 6, 5, 39340, 710, 35189, 6, 142429, 17645, 2004, 90848, 101296, 59461, 23822, 88680, 4, 7265, 23173, 30750, 16932, 3120, 6, 5, 87311, 95064, 9183, 164863, 23173, 2909, 8300, 5, 1470, 5, 1470, 117997, 4, 8903, 506, 15350, 17748, 73095, 25616, 29060, 23173, 37640, 5666, 26, 2050, 6235, 159696, 24152, 137218, 87178, 78683, 2865, 22426, 56170, 1285, 11265, 40697, 206994, 6093, 2205, 20961, 6, 9221, 20961, 5, 5666, 5, 19532, 149211, 4, 8903, 159696, 4852, 114436, 101251, 28726, 119859, 63188, 29434, 905, 75290, 2205, 163139, 1644, 23269, 4, 2205, 119055, 10705, 1982, 16932, 4, 874, 59929, 2702, 5, 3131, 5, 564, 142144, 146887, 4, 17268, 66293, 6, 15907, 64260, 46985, 94114, 5666, 3120, 230191, 76776, 710, 5, 8580, 187483, 6093, 6681, 1982, 183512, 5, 1982, 5, 4231, 5, 564, 115952, 192900, 2808, 8300, 16580, 4, 172060, 90536, 10918, 47332, 4, 7265, 65285, 16932, 2205, 37271, 7916, 905, 77188, 2050, 2909, 13982, 5, 6, 121709, 36326, 564, 32792, 4, 8903, 44478, 13497, 6093, 2200, 10339, 29771, 17645, 152, 364, 75230, 22426, 2882, 3120, 4151, 29771, 148346, 2882, 54260, 12666, 24012, 6, 101328, 24152, 117902, 181615, 54260, 710, 13458, 89184, 4, 190, 18415, 5332, 159696, 96951, 2200, 427, 18415, 4269, 59929, 5, 506, 5, 564, 156822, 4, 80453, 48350, 710, 3120, 4151, 155787, 54260, 6093, 71180, 23741, 39293, 4113, 29789, 68558, 4, 20632, 7508, 6, 5, 206994, 2205, 137, 7201, 29766, 159696, 33716, 2702, 2909, 13982, 5, 1751, 5, 10213, 164863, 29659, 54260, 1211, 4, 2882, 14004, 63188, 71180, 160687, 18415, 44478, 12, 132025, 17268, 5666, 26, 2050, 54745, 22426, 23173, 2882, 96302, 1470, 54260, 2442, 6093, 21422, 9416, 16803, 152185, 123736, 48974, 32829, 4852, 215726, 42421, 220075, 152, 105884, 129071, 29766, 3120, 157859, 5, 22426, 54260, 50273, 155, 2205, 37271, 97634, 26, 5, 28714, 9221, 9721, 92500, 4, 8903, 159696, 905, 114436, 6, 80453, 48350, 15435, 35596, 3120, 11265, 54260, 218705, 182759, 67873, 187483, 6093, 6681, 1982, 93047, 74, 3056, 182261, 689, 905, 54343, 2205, 141211, 9616, 5, 1982, 5, 9424, 5, 4269, 39083, 2648, 1982, 16870, 2932, 4, 104985, 5666, 21106, 34533, 6, 88660, 9183, 66168, 40920, 152, 7265, 21776, 94741, 710, 205416, 69355, 137, 97634, 2932, 2909, 1982, 5, 4231, 5, 4269, 39083, 2648, 29659, 54260, 1211, 4, 113889, 159696, 1644, 34533, 4, 32887, 174121, 24152, 166198, 123329, 4, 7265, 23173, 30750, 16932, 2205, 137, 97634, 4, 5, 22426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4269, 23174, 39083, 2648, 4, 36419, 25616, 29060, 23173, 3120, 230191, 6, 44478, 6093, 36419, 117397, 23173, 2200, 144754, 21847, 9221, 3120, 6235, 5, 5332, 38249, 5, 155787, 24295, 76776, 10918, 171433, 20961, 1211, 65285, 16932, 7201, 23173, 1982, 183512, 5, 3131, 133574, 33960, 54561, 155073, 4, 89184, 16932, 7508, 6093, 23173, 205416, 3120, 6, 109636, 16932, 98624, 4113, 4667, 37271, 22680, 54260, 16747, 155, 2200, 4231, 75230, 47332, 123329, 11265, 54260, 6093, 11211, 40920, 29766, 123329, 5, 13982, 5, 4231, 5, 17824, 120467, 133111, 4, 2882, 75230, 6293, 14856, 103023, 9221, 6, 37016, 235210, 127684, 3120, 155787, 24295, 76776, 10918, 232187, 67873, 187483, 6093, 56170, 1982, 104274, 12, 27702, 119718, 10705, 82576, 87442, 23173, 40653, 28415, 31623, 24295, 54260, 30750, 32054, 48904, 12483, 5, 2865, 5, 19024, 112690, 2702, 4, 4852, 29631, 5666, 21106, 34533, 4, 78956, 23741, 194734, 44478, 5, 7265, 23173, 30750, 16932, 69355, 137, 97634, 2932, 2909, 2702, 5, 6, 218710, 39083, 4, 4852, 47750, 5666, 21106, 34533, 2819, 56170, 119718, 158291, 33104, 16667, 105884, 129071, 29766, 69355, 137, 97634, 2932, 2909, 5666, 5, 6428, 90848, 86733, 4, 8903, 710, 48350, 114436, 41764, 25207, 54260, 2648, 35596, 3120, 7508, 6093, 3523, 12415, 23741, 39293, 89930, 108276, 68558, 4, 3120, 1285, 895, 16932, 4113, 2200, 6, 129071, 710, 159696, 15907, 5666, 7972, 35189, 2205, 4151, 108276, 68558, 56170, 4838, 3373, 4667, 101328, 61621, 152, 206994, 2205, 137, 97634, 2932, 5, 14081, 40377, 118025, 68889, 46985, 119718, 710, 4, 13845, 2882, 82576, 77775, 2442, 10339, 54260, 29771, 710, 171433, 2200, 78956, 87178, 194734, 63188, 5, 2808, 5, 364, 63593, 79981, 4, 76776, 10918, 232187, 44478, 564, 37016, 25207, 174410, 3120, 6235, 238144, 158652, 98229, 22426, 54260, 1211, 6235, 159696, 4852, 114436, 73095, 25616, 29060, 23173, 3120, 2442, 6093, 6, 148346, 905, 13845, 31623, 16562, 186046, 2882, 54260, 5, 3131, 5, 163139, 59461, 4, 4113, 15907, 2932, 54260, 2442, 3120, 4151, 22518, 33716, 1211, 21660, 6093, 108276, 68558, 5, 88660, 25207, 710, 205416, 2200, 55242, 89930, 2205, 137, 97634, 2932, 155, 2819, 37826, 144754, 23269, 23173, 1982, 29060, 2205, 137, 1982, 22426, 710, 113889, 137218, 564, 40633, 5, 2648, 5, 119055, 77188, 506, 54260, 2050, 4, 36419, 25616, 29060, 23173, 3120, 4151, 6, 172060, 13845, 31623, 16562, 133855, 31623, 16562, 22426, 23173, 2882, 54260, 2205, 4838, 46685, 125897, 5, 2865, 5, 1470, 5, 55242, 1644, 122623, 4, 7511, 4231, 29766, 75290, 7508, 9221, 87442, 29766, 2200, 132025, 91163, 6093, 6, 183618, 5, 11265, 116628, 6, 76776, 10918, 232187, 1644, 10339, 29771, 16747, 5, 710, 5, 9174, 54260, 112452, 4, 4852, 47750, 5666, 21106, 34533, 152, 7265, 23173, 30750, 16932, 2205, 137, 97634, 2932, 2909, 710, 5, 58826, 114778, 29771, 119718, 710, 48253, 4, 9719, 16932, 15435, 3120, 7508, 6093, 6, 85310, 23741, 25603, 89930, 108276, 68558, 152, 65285, 2882, 2205, 7508, 6093, 137, 22680, 54260, 506, 54260, 2882, 155, 506, 33104, 4667, 6093, 2050, 2050, 24295, 6293, 5, 92500, 8300, 119718, 2808, 57619, 15307, 905, 50856, 77188, 25603, 13805, 5, 92500, 8300, 119718, 48904, 10918, 46985, 5, 3944, 13159, 8580, 4, 204403, 29060, 4, 6, 172060, 90536, 10918, 16803, 2819 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105884, 129071, 29766, 3120, 137, 2442, 24295, 159696, 2909, 5666, 5, 564, 5, 3944, 83182, 4, 75230, 14303, 5666, 21106, 34533, 2819, 7265, 23173, 30750, 16932, 2205, 137, 97634, 2932, 2909, 2865, 5, 143064, 212915, 4, 23269, 159696, 4852, 114436, 55242, 710, 2819, 182261, 241304, 2702, 212915, 95766, 6, 50273, 75230, 68959, 710, 191263, 5, 2808, 5, 132213, 26612, 119718, 710, 48253, 4, 109636, 94741, 2932, 29771, 23847, 6, 44478, 6093, 2200, 132025, 91163, 6093, 3120, 4151, 7972, 13159, 8580, 10339, 39083, 4484, 113687, 2200, 12023, 90536, 64260, 37016, 2205, 10069, 9721, 171433, 13805, 2819, 7265, 100863, 9221, 5332, 38249, 5, 37640, 66293, 185758, 13456, 76776, 29789, 232187, 67873, 206994, 6093, 7201, 23173, 1982, 183512, 5, 13982, 5, 1751, 5, 118222, 119859, 3131, 13159, 4, 172060, 90536, 10918, 16803, 2819, 364, 75230, 22426, 2882, 105884, 129071, 29766, 3120, 137, 97634, 2932, 2909, 2865, 5, 15864, 36326, 119718, 31623, 16580, 4, 44478, 6093, 2200, 6, 148346, 4113, 94741, 2932, 29771, 2932, 33718, 6093, 95766, 21422, 9416, 1982, 147502, 2702, 29771, 10918, 21106, 710, 47332, 152185, 27702, 159696, 2932, 17310, 5, 2865, 5, 33469, 19785, 4, 1982, 14081, 62067, 6093, 19532, 1982, 5, 7508, 23174, 33718, 6093, 6681, 1157, 5666, 23269, 101328, 61621, 12, 68313, 32887, 46545, 4, 2205, 15750, 13845, 95494, 23741, 28726, 30750, 2200, 10918, 9416, 16803, 54260, 1982, 29771, 10918, 26612, 54260, 15907, 54260, 4113, 130170, 23269, 2865, 109226, 5, 3523, 161459, 4, 7972, 16932, 40096, 14303, 84316, 46545, 6093, 5, 2200, 22753, 14303, 76776, 18273, 2882, 5, 144754, 23173, 30750, 16932, 3120, 137, 97634, 2932, 2909, 2865, 5, 77014, 119718, 31623, 16580, 4, 117397, 7972, 2648, 3120, 4151, 6, 85310, 23741, 39293, 4113, 89184, 9416, 68558, 6681, 1644, 48904, 8903, 6, 101328, 61621, 5, 206994, 2205, 137, 7201, 29766, 159696, 33716, 2050, 2909, 13982, 5, 200386, 3373, 158291, 13159, 4, 119718, 710, 26394, 80453, 12483, 18167, 35596, 37640, 5666, 26, 2050, 6, 75322, 89184, 78683, 59461, 11265, 40697, 1211, 192183, 50856, 13159, 1211, 124724, 87442, 29766, 3120, 5, 6, 68959, 3111, 14004, 2882, 159696, 1644, 59919, 191795, 38054, 56170, 7201, 59929, 6093, 6, 183618, 6, 229340, 6, 4, 37271, 148222, 15435, 40697, 41764, 25207, 36419, 2205, 4838, 46685, 125897, 155, 15, 141847, 128117, 194, 1644, 5, 15857, 2932, 14081, 4, 5666, 114436, 21106, 73095, 25616, 29060, 23173, 37640, 66293, 155787, 15907, 6, 76776, 10918, 29771, 5, 2702, 23173, 1982, 48904, 4667, 2200, 27702, 119718, 10705, 1982, 16932, 10918, 9416, 16803, 13456, 191795, 10918, 21106, 34533, 152185, 83066, 6093, 5, 710, 5, 60837, 171433, 448, 4, 2442, 54260, 16932, 2200, 9934, 47750, 5666, 21106, 34533, 7265, 23173, 30750, 16932, 69355, 137, 97634, 2932, 2909, 1982, 5, 71612, 21106, 4, 129071, 710, 159696, 2442, 33718, 6093, 2205, 4151, 71180, 23741, 1211, 4113, 4113, 6093, 5, 710, 9416, 68558, 74, 206994, 2205, 137, 87311, 95064, 1211, 9934, 47750, 5666, 21106, 2909, 119718, 5, 8009, 79981, 4, 80453, 48350, 15435, 35596, 3120, 4231, 5, 657, 5, 41764, 71945, 97995, 54260, 75578, 7201, 23173, 2808, 54260, 1211, 12, 172060, 90536, 10918, 16803, 2200, 32887, 174121, 24152, 166198, 123329, 7265, 23173, 30750, 16932, 2205, 137, 97634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2909, 105514, 41764, 710, 208182, 4, 13982, 75322, 40096, 103182, 2200, 564, 109316, 23822, 34533, 6, 80453, 48350, 15435, 35596, 69355, 6, 76776, 10918, 232187, 67873, 206994, 6093, 7201, 23173, 1982, 183512, 92500, 160238, 30473, 89930, 3120, 52059, 29631, 8903, 39293, 1644, 95494, 23741, 5, 5666, 5, 10339, 29771, 46685, 2808, 69106, 4, 144754, 100863, 15435, 5, 3120, 7508, 6093, 81414, 23741, 39293, 4113, 6093, 108276, 68558, 7201, 23173, 657, 48904, 23269, 5, 101328, 61621, 1470, 75230, 4667, 564, 233364, 13497, 6093, 6, 172060, 90536, 10918, 16803, 2200, 7265, 23173, 30750, 16932, 2205, 56170, 3131, 54260, 2648, 65482, 8300, 54260, 2882, 109226, 2200, 9934, 47750, 76776, 67873, 5, 1982, 5, 4231, 5, 6, 149364, 152099, 16932, 4, 144754, 97594, 2648, 3120, 7508, 6093, 71180, 23741, 39293, 63188, 5, 710, 9416, 68558, 144754, 710, 32792, 3120, 5, 710, 5, 657, 5, 41764, 71945, 9721, 5, 7369, 4, 1470, 5, 5666, 5, 2808, 5, 7201, 5, 23173, 1982, 29060, 2205, 137, 97634, 2932, 2909, 2865, 5, 10339, 54260, 16667, 2882, 92500, 4, 1982, 37016, 25207, 57277, 17171, 1211, 34654, 56170, 2808, 54260, 29171, 18415, 6255, 54260, 43178, 7511, 24152, 57277, 23741, 1211, 2200, 160238, 1211, 710, 89930, 37603, 6, 93704, 160059, 34575, 40096, 710, 119718, 1211, 224220, 131044, 3120, 6235, 159696, 24152, 95494, 23741, 1211, 78683, 2865, 22426, 54260, 1211, 6681, 1285, 11265, 54260, 4113, 206994, 6093, 2205, 5, 155, 710, 5, 2865, 5, 10184, 86733, 4, 36419, 25616, 29060, 23173, 37640, 5666, 26, 2050, 3523, 54260, 4231, 29766, 75290, 224220, 131044, 3120, 2808, 5, 17645, 10339, 39083, 4484, 3111, 67873, 2200, 5, 9424, 35596, 48775, 28726, 174538, 113687, 3120, 230191, 76776, 10918, 232187, 67873, 4838, 68697, 5, 56170, 1982, 183512, 5, 3131, 5, 9934, 5, 3069, 75290, 133111, 4, 30473, 14303, 5666, 21106, 34533, 2819, 7265, 23173, 30750, 16932, 2205, 137, 97634, 2932, 2909, 22426, 5, 202731, 74004, 4, 76776, 10918, 232187, 44478, 73095, 25616, 29060, 23173, 3120, 4151, 3944, 8903, 56170, 2648, 120467, 206994, 5666, 9616, 5, 13982, 5, 132213, 657, 5, 48494, 74004, 6293, 4, 25491, 119718, 14004, 82576, 6, 150349, 21660, 115952, 34533, 7508, 35596, 34533, 15949, 70380, 22492, 75230, 657, 87442, 29766, 2819, 7508, 6093, 6, 68566, 83182, 2200, 41764, 12415, 69355, 6, 5, 15388, 2442, 31249, 155, 2200, 1285, 137, 5666, 7511, 89192, 26, 115453, 57619, 17310, 2702, 139485, 109636, 1211, 2205, 141211, 9616, 5, 5666, 5, 6, 90848, 39293, 22492, 905, 6093, 4, 8903, 159696, 4852, 114436, 6, 80453, 12483, 18167, 35596, 5, 3120, 4151, 71180, 23741, 39293, 89930, 108276, 68558, 7265, 5666, 32792, 3120, 5332, 38249, 5, 224220, 5, 2200, 129071, 710, 159696, 2442, 33718, 6093, 56170, 657, 48904, 8903, 6, 101328, 61621, 5, 3056, 1470, 75230, 4667, 47351, 6, 93704, 119718, 218241, 40096, 2200, 32887, 46545, 2205, 3373, 29771, 4113, 5, 186046, 2882, 54260, 5, 2865, 5, 7508, 165592, 43178, 133111, 4, 80453, 64260, 218241, 39083, 10213, 25616, 29060, 23173, 3120, 7508, 6093, 6, 85310, 160687, 21660, 6093, 108276, 68558, 74, 206994, 2205, 137, 87311, 95064, 1211, 4852, 47750, 76776, 710, 2909, 8300, 5, 364, 5, 51453, 24295, 29659, 54260, 1211, 4, 4852, 47750 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1563, 9904, 365, 1297, 4861, 532, 7049, 86828, 268, 378, 1723, 127427, 12, 70970, 268, 378, 211232, 9956, 94940, 12, 335, 5, 6, 3, 1974, 7, 245389, 73, 268, 378, 117772, 80217, 12, 378, 25, 724, 3838, 365, 1297, 4, 58480, 1853, 56, 4, 543, 963, 9444, 5046, 25, 86245, 378, 131514, 15300, 12, 62, 5, 335, 5, 2016, 61191, 365, 1297, 7, 990, 10955, 7816, 6, 3, 56, 92, 268, 6, 5, 6, 5, 714, 304, 23173, 54260, 5666, 91163, 10069, 9424, 54260, 2882, 3120, 6319, 75322, 6293, 196991, 4151, 36324, 75230, 61397, 25046, 114436, 10372, 171665, 10125, 2200, 14004, 25207, 6, 186145, 61397, 3056, 1751, 75230, 1211, 1470, 75230, 2702, 23269, 28726, 148346, 2702, 6235, 119718, 29766, 1211, 5, 20033, 220224, 49008, 6, 23173, 54260, 1211, 95766, 4151, 6, 124470, 136187, 4, 119055, 12483, 20033, 1751, 186145, 148346, 1211, 292, 1470, 75230, 148346, 42493, 3069, 21776, 506, 26612, 148346, 710, 69181, 52541, 10069, 10372, 171665, 10125, 148346, 26612, 159696, 2932, 17310, 4, 3056, 22753, 3496, 64260, 3131, 3069, 51678, 2200, 4151, 4484, 171428, 4, 137377, 13342, 95494, 64213, 22753, 3120, 364, 34533, 29766, 152185, 41764, 93497, 109636, 140229, 159696, 4838, 75386, 163139, 40920, 133671, 6, 29060, 71577, 95766, 4151, 52059, 29631, 84577, 119718, 7682, 1644, 17310, 3120, 1285, 13754, 36326, 10339, 39083, 13805, 101296, 46053, 2205, 220224, 6093, 13982, 48904, 2932, 3069, 6, 192539, 1211, 220224, 123073, 17190, 148346, 16667, 7201, 29766, 51723, 4, 1470, 75230, 7201, 13342, 148346, 75230, 12483, 220224, 230764, 5666, 54260, 4113, 3373, 29771, 10918, 21106, 4113, 2200, 52059, 29631, 109316, 147448, 850, 5, 2200, 230764, 4151, 4231, 17310, 6093, 54260, 2648, 152185, 3944, 101608, 40096, 103182, 77928, 40377, 4113, 3056, 1470, 75230, 2702, 8903, 7201, 21106, 1211, 1285, 1470, 75230, 7201, 76776, 148346, 4113, 86462, 171665, 1644, 1470, 75230, 2702, 13342, 7201, 29766, 81829, 2200, 6, 23173, 75230, 2702, 148346, 25207, 183216, 2205, 3944, 40920, 3120, 1285, 3523, 54260, 4113, 56170, 506, 13845, 2882, 161829, 1211, 1285, 710, 76632, 39340, 160238, 3131, 2702, 54260, 6093, 3120, 4151, 10372, 171665, 10125, 4113, 204403, 107581, 4, 119055, 13845, 107581, 151614, 148346, 1211, 292, 101251, 137377, 506, 141847, 7682, 3120, 220224, 6093, 11265, 4113, 39083, 171433, 152185, 6, 148346, 26612, 10918, 49597, 33104, 5666, 3069, 35189, 6, 54260, 2648, 152185, 145813, 48775, 4667, 292, 2205, 4151, 81444, 4852, 123329, 145813, 48775, 4667, 23050, 95494, 33225, 4, 7265, 506, 13845, 7201, 213952, 1470, 75230, 7201, 13342, 148346, 75230, 12483, 1285, 3523, 54260, 4113, 13754, 36326, 3944, 16932, 40096, 14303, 5, 10069, 10372, 171665, 10125, 7972, 16932, 40096, 14303, 2205, 6, 54260, 10069, 3131, 21422, 2882, 4151, 14088, 1285, 141879, 8300, 54260, 2882, 6, 21106, 7611, 28415, 2200, 28415, 3069, 1285, 1470, 75230, 7201, 46685, 4484, 235210, 4484, 54260, 2882, 3120, 10676, 3944, 16932, 40096, 14303, 2200, 52059, 29631, 506, 34533, 29766, 123329, 2200, 1470, 75230, 4667, 3120, 10676, 7369, 16667, 28320, 28726, 168155, 2200, 6, 44478, 59461, 3120, 4151, 6, 54260, 2648, 152185, 3944, 16932, 40096, 14303, 74, 123736, 148346, 6093, 8009, 506, 49792, 506, 29771, 148346, 1211, 127461, 125523, 42493, 2205, 4838, 6, 87311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35189, 59461, 1470, 75230, 2702, 119859, 148346, 4113, 44064, 1285, 163139, 4944, 46545, 80885, 6, 159696, 24152, 3120, 1285, 6, 54260, 2648, 40697, 10372, 171665, 10125, 25391, 710, 23741, 105235, 44478, 2200, 8947, 3056, 3131, 75230, 1211, 1285, 17288, 4944, 80885, 21422, 2882, 3069, 193178, 1285, 81444, 4852, 125897, 6, 159696, 24152, 3069, 65848, 2882, 44779, 7201, 23173, 6, 148346, 2442, 54260, 16932, 4113, 30109, 54260, 56880, 5, 94741, 1211, 119055, 39083, 2882, 175620, 1470, 75230, 4667, 19302, 29766, 6235, 119718, 29766, 1211, 4, 163139, 6, 238144, 2882, 1285, 56170, 24621, 16747, 13845, 40697, 6, 124470, 136187, 3120, 4151, 13754, 86733, 3944, 16932, 40096, 14303, 3056, 6, 141847, 56170, 148346, 88917, 1211, 7265, 856, 185758, 19302, 59929, 65689, 41764, 89184, 142429, 4, 36324, 125523, 2205, 4151, 56170, 24621, 16747, 13845, 152185, 6, 124470, 136187, 68313, 6235, 95494, 33225, 6235, 119718, 29766, 1211, 1285, 6, 54260, 2648, 40697, 6, 87311, 35189, 23269, 3944, 101608, 59929, 142144, 80453, 47351, 4, 3056, 195054, 54260, 98833, 6235, 119718, 29766, 1211, 11265, 147448, 4, 6, 26394, 92605, 77188, 6235, 119718, 29766, 1211, 4151, 6, 148346, 142429, 1211, 4, 199145, 10705, 2865, 9719, 21338, 148346, 23173, 3120, 70845, 364, 59929, 44064, 4838, 874, 141943, 109316, 6235, 4852, 75230, 15388, 220224, 1211, 6319, 171127, 44478, 65689, 17741, 850, 4, 6, 139449, 220224, 23269, 145813, 48775, 4667, 9719, 35044, 12483, 4, 1470, 88945, 12483, 2200, 32887, 51723, 5, 2808, 54260, 59461, 3120, 1285, 6, 148346, 93704, 54260, 2702, 115666, 36419, 71180, 23741, 105235, 44478, 3120, 4231, 114436, 124470, 136187, 4, 199145, 178748, 56170, 101470, 4838, 170791, 17190, 148346, 1211, 4838, 13805, 43178, 61541, 2648, 2200, 29060, 23174, 6093, 292, 1285, 81444, 4852, 125897, 17824, 75230, 36419, 41764, 101328, 7511, 53414, 3120, 4151, 6, 54260, 2648, 152185, 3944, 16932, 40096, 14303, 2205, 11265, 10372, 171665, 10125, 149364, 710, 142429, 292, 3056, 123451, 6, 113889, 35044, 29771, 148346, 6093, 5, 6, 113889, 4944, 46685, 292, 2205, 117902, 172060, 44478, 4484, 54260, 2882, 37826, 6, 113889, 21338, 29771, 148346, 6093, 6, 148346, 36326, 16996, 101251, 8903, 506, 54260, 6093, 4838, 12415, 148346, 6093, 8903, 29659, 116628, 1285, 4151, 87311, 194734, 133519, 220224, 23269, 5, 7369, 3056, 6, 148346, 104383, 6235, 159696, 1211, 46891, 4151, 117902, 172060, 44478, 82576, 160238, 29659, 54260, 6093, 3120, 4151, 10372, 171665, 10125, 125523, 126700, 155, 67873, 4, 6, 148346, 79989, 2205, 119055, 39083, 8580, 5, 220224, 1211, 16804, 3056, 6235, 159696, 1211, 27702, 68566, 16747, 29060, 6, 12130, 5666, 29766, 230764, 220224, 1211, 73095, 150541, 54260, 2702, 4838, 75386, 71180, 23741, 105235, 44478, 2205, 17288, 148346, 25207, 13456, 2200, 95766, 13754, 3131, 4, 133190, 1470, 75230, 4667, 230764, 220224, 1211, 6, 129071, 710, 119718, 1211, 6319, 75322, 6293, 56170, 1285, 1470, 88945, 21106, 1211, 69355, 4151, 10372, 171665, 10125, 4, 6, 203326, 199145, 8947, 24295, 59461, 2200, 44064, 4151, 4838, 140229, 159696, 25207, 48775, 13805, 43178, 61541, 2648, 151614, 148346, 1211, 7746, 6, 238144, 29171, 6093, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 5, 34557, 17800, 2050, 148346, 6093, 4269, 120467, 1644, 29771, 148346, 6093, 3056, 6235, 159696, 1211, 37729, 2200, 37729, 21776, 119718, 39083, 92866, 24001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59461, 2200, 6, 113889, 119718, 59929, 29766, 4, 6, 80453, 54260, 2648, 161459, 2200, 4838, 2932, 21292, 40096, 29766, 4, 3056, 43649, 188301, 8903, 240863, 12483, 2205, 1285, 200795, 7508, 54260, 12483, 4, 43649, 188301, 160238, 2808, 75230, 2702, 6, 189098, 4151, 506, 3131, 171665, 10125, 7201, 68558, 4, 43649, 188301, 2205, 6, 148346, 26612, 159696, 2932, 17310, 4, 364, 120467, 6235, 148346, 2442, 35596, 2200, 6235, 13342, 16747, 1211, 506, 6093, 89930, 5, 7265, 198754, 7508, 75230, 2702, 70845, 145115, 6093, 148346, 75230, 2050, 6, 68558, 2205, 4838, 6, 23173, 46545, 1644, 2205, 37271, 506, 17017, 45631, 155, 4231, 2077, 137, 506, 189098, 9183, 50856, 42978, 114073, 171665, 17795, 111616, 448, 155, 292, 4151, 184639, 189098, 101328, 59461, 56170, 4151, 1470, 75230, 42410, 44478, 17310, 3120, 1285, 6, 54260, 35465, 5, 163139, 4838, 7544, 21087, 239162, 17800, 64260, 7369, 4838, 144532, 8903, 119718, 183512, 77188, 9213, 148346, 6093, 4838, 364, 21106, 148346, 6093, 6, 159696, 75386, 4, 364, 120467, 2190, 195164, 14088, 4, 148346, 54260, 148932, 6, 151227, 43178, 5927, 54260, 2702, 4, 56170, 3131, 80453, 54260, 2882, 220224, 23269, 874, 54260, 5666, 109226, 4, 6, 148346, 13845, 22426, 506, 2200, 148346, 79528, 4, 364, 120467, 6235, 235210, 21295, 4838, 68550, 7746, 6, 124470, 1644, 9719, 30979, 5, 364, 120467, 564, 48904, 54260, 82576, 2702, 4, 6235, 11556, 13497, 93497, 4, 43649, 188301, 6235, 159696, 1211, 2205, 6, 112353, 13342, 3131, 2702, 183512, 4, 292, 2205, 6, 112353, 144754, 4151, 4269, 48904, 89930, 6, 118809, 4, 6, 47351, 6, 21106, 16932, 4, 4838, 43649, 23173, 75290, 4, 6, 47351, 1470, 54260, 5666, 8903, 17268, 152848, 159696, 16932, 6, 159696, 75386, 5, 16, 156999, 4, 9934, 5, 2273, 5666, 5, 11839, 113889, 35044, 29771, 148346, 6093, 3056, 23165, 1470, 75230, 4667, 4151, 78104, 22426, 13456, 82576, 160238, 29659, 54260, 6093, 69355, 4151, 10372, 171665, 10125, 4, 119055, 13845, 104238, 37826, 190800, 8903, 101296, 40377, 114564, 42493, 76961, 6, 84577, 119718, 7682, 1644, 17310, 2702, 149364, 101328, 35465, 3120, 4151, 6, 54260, 2648, 152185, 3523, 77928, 4944, 18415, 2205, 953, 28320, 6, 101328, 17800, 88917, 77188, 5, 20315, 2050, 67882, 16932, 710, 21106, 56170, 4151, 16175, 32097, 117578, 13159, 84577, 6093, 17190, 148346, 16667, 8903, 16629, 4944, 18415, 3120, 4151, 81444, 4852, 123329, 6, 149364, 4852, 43178, 28726, 4944, 4484, 54260, 2882, 37826, 1470, 5, 6, 211630, 112452, 3069, 5666, 75230, 111137, 235210, 21295, 2205, 10676, 6, 148346, 31212, 137, 34557, 17800, 2050, 148346, 6093, 6, 113889, 35044, 29771, 148346, 6093, 2200, 220224, 1211, 4113, 204403, 107581, 2909, 2205, 10676, 160238, 195054, 54260, 16667, 1211, 6, 148346, 183512, 4269, 54260, 12483, 6, 23173, 54260, 1211, 1285, 6, 159696, 24152, 4, 199145, 2808, 5, 6, 148346, 5, 4269, 64260, 1644, 29771, 148346, 6093, 37826, 74806, 12415, 148346, 1211, 2205, 6, 54260, 10069, 3131, 2200, 119055, 13845, 107581, 4151, 76776, 57619, 1211, 92500, 56170, 86070, 29659, 188301, 1211, 1285, 4269, 54260, 175483, 4113, 10184, 4852, 101328, 113889, 192494, 220224, 23269, 5, 506, 99402, 2205, 220224, 1211, 3944, 16932, 23173, 65689, 6, 95494, 33225, 3056, 4269, 64260, 1644, 29771, 148346, 6093, 6235, 159696, 1211, 26612, 12065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 83182, 150349, 90848, 8300, 35596, 123329, 18906, 171665, 15350, 4, 2200, 177274, 2702, 6, 159696, 24152, 220224, 16667, 4, 2205, 22426, 90848, 39293, 84475, 6, 59919, 56880, 4, 364, 120467, 1470, 54260, 1211, 27702, 29659, 710, 188201, 32887, 152848, 69106, 292, 6, 48904, 15907, 215726, 7201, 23173, 137, 22426, 90848, 23847, 13159, 2200, 21422, 119718, 15350, 15533, 215726, 2004, 37826, 2205, 70845, 81444, 4667, 3523, 109316, 148346, 96743, 75230, 4667, 4838, 6319, 171127, 44478, 4, 2200, 220224, 23269, 6, 159696, 24152, 220224, 49008, 119055, 77188, 86070, 42493, 133190, 4838, 75386, 87311, 3111, 96302, 1211, 3120, 4838, 56170, 240863, 114436, 52059, 29631, 506, 21292, 2702, 29766, 152185, 6, 124470, 136187, 4, 133190, 2808, 75230, 4667, 3120, 7508, 54260, 1211, 3944, 16932, 23173, 65689, 43649, 183512, 172060, 185226, 5, 2932, 120467, 1644, 29771, 148346, 93497, 27702, 10918, 49597, 17310, 3069, 6, 54260, 10069, 3131, 705, 3120, 1470, 54260, 1211, 220224, 2882, 4, 163139, 1285, 6, 148346, 26612, 155, 10918, 49597, 17310, 3120, 95455, 51453, 18906, 171665, 46067, 3120, 4231, 114436, 9424, 54260, 2702, 12, 6, 99611, 163139, 3069, 26612, 55242, 1644, 148346, 16803, 8300, 159696, 4484, 4, 133190, 292, 2205, 6, 148346, 119273, 1211, 10339, 21106, 292, 163139, 4838, 7544, 35044, 73784, 6, 89991, 74, 92500, 4151, 6, 89991, 3056, 292, 9213, 148346, 6093, 240863, 3069, 143628, 3131, 84475, 6428, 54260, 48253, 4, 137, 2808, 54260, 90848, 109636, 98071, 4852, 215726, 2004, 3069, 5666, 75230, 50097, 2702, 33104, 5666, 7265, 4151, 4838, 144532, 123329, 52059, 29631, 5, 137, 2808, 54260, 1211, 7201, 39083, 4484, 2200, 1470, 54260, 1211, 145813, 48775, 4667, 4, 6, 148346, 1644, 75230, 4852, 56170, 3131, 54260, 2648, 65482, 78891, 15050, 155, 292, 95455, 3056, 2648, 29771, 4667, 6235, 159696, 1211, 4151, 54745, 119718, 15533, 3120, 1285, 18906, 171665, 46067, 4, 2200, 6, 54260, 10069, 3131, 37826, 7746, 2205, 4852, 54260, 6093, 6, 76776, 98071, 159696, 2442, 192183, 26394, 22426, 42180, 42493, 6, 23173, 54260, 5666, 23269, 7201, 59929, 2882, 4, 56170, 75290, 2702, 292, 23050, 159696, 1211, 113889, 4667, 4838, 43649, 23173, 39340, 50963, 77820, 5, 69355, 4151, 9424, 238144, 16932, 220224, 2882, 123736, 148346, 6093, 3056, 7369, 6235, 159696, 1211, 4838, 10339, 39083, 13805, 24621, 16667, 3131, 4, 1470, 75230, 111137, 506, 29771, 20315, 159696, 2702, 2205, 4838, 6, 118809, 3120, 119055, 39083, 127684, 118439, 448, 4, 199145, 506, 29771, 148346, 1211, 23050, 506, 59929, 4838, 117902, 30473, 15231, 159696, 6, 148346, 26612, 10918, 49597, 17310, 3069, 6, 54260, 10069, 3131, 4, 199145, 151614, 148346, 1211, 1285, 118439, 40697, 5816, 10125, 38574, 2200, 1285, 118439, 40697, 4151, 506, 75230, 148346, 20260, 54260, 2702, 6, 23173, 54260, 23405, 43178, 120467, 1211, 2205, 35189, 10339, 39083, 13805, 3131, 22426, 48775, 4667, 4, 199145, 151614, 148346, 1211, 6, 21106, 54260, 1211, 118439, 40697, 174332, 850, 74806, 12415, 148346, 1211, 4, 8903, 13982, 905, 20911, 2200, 56170, 3131, 80453, 54260, 2882, 4, 199145, 151614, 148346, 1211, 6, 23173, 54260, 5666, 8903, 8903, 148346, 1211, 2205, 4151, 6, 54260, 10069, 856, 141, 568, 86733, 145813, 48775, 4667, 1285, 119055, 39083, 127684, 6, 170355, 23741, 7682, 54260, 2882, 5, 2200, 4838, 75386, 21776, 124740, 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 ]
[ 40096, 4151, 69355, 148346, 54260, 4269, 64260, 1644, 29771, 148346, 53414, 292, 4151, 43649, 188301, 6093, 18133, 21106, 78653, 3120, 18906, 171665, 15350, 2200, 7201, 39083, 13805, 96302, 3131, 12, 1285, 3523, 40096, 9221, 192956, 66334, 5594, 3069, 67882, 24621, 106672, 2200, 95455, 17806, 38249, 21106, 4113, 6, 238144, 28726, 230764, 4838, 506, 41595, 6093, 4, 1285, 123736, 23741, 4113, 5816, 179561, 850, 1211, 56170, 22518, 54260, 148346, 1211, 54260, 10069, 3131, 292, 6, 148346, 54260, 220224, 1211, 123736, 48974, 48904, 152185, 10339, 26612, 905, 29766, 34709, 95564, 54260, 2882, 2205, 4151, 81444, 4852, 123329, 3131, 22426, 48775, 4667, 5, 2932, 64260, 1644, 29771, 148346, 6093, 37826, 125523, 7746, 6319, 54260, 1211, 10073, 6, 159696, 24152, 230764, 6, 54260, 10069, 3131, 42493, 14004, 148346, 6093, 8903, 212484, 2882, 74, 74806, 12415, 148346, 1211, 37826, 7369, 4838, 3373, 4667, 4, 123736, 148346, 6093, 220224, 6093, 84087, 3120, 20315, 2050, 3056, 3069, 194706, 6, 99611, 4151, 240863, 12483, 5, 133190, 95455, 4, 199145, 20033, 6, 148346, 165592, 31623, 1211, 6, 101328, 69355, 70845, 4, 42493, 194706, 1470, 75230, 4667, 4838, 6235, 3111, 2932, 564, 160022, 6, 148346, 145161, 3120, 1285, 1470, 88945, 12483, 3120, 4852, 54260, 1211, 9424, 54260, 2882, 5, 159696, 1211, 3056, 4269, 120467, 1644, 29771, 148346, 6093, 6, 130991, 3069, 6, 54260, 10069, 3131, 32, 292, 2205, 220224, 23269, 22680, 17645, 15622, 105405, 101328, 61621, 37826, 7369, 1751, 75230, 1211, 40105, 6, 54260, 10069, 3131, 5, 2205, 220224, 23269, 37271, 50647, 15050, 155, 4231, 16, 22518, 54260, 148346, 2882, 7369, 12, 137, 165592, 75230, 163139, 6255, 151614, 148346, 3120, 192544, 506, 54260, 2882, 6, 68558, 6235, 506, 59929, 4838, 3523, 54260, 2932, 17310, 3069, 22518, 54260, 18406, 194170, 4, 151614, 1982, 6255, 123959, 9934, 95494, 48974, 68558, 1470, 75230, 4667, 132025, 8903, 506, 75230, 148346, 1211, 22518, 54260, 148346, 1211, 194170, 2909, 6, 159696, 15388, 10676, 895, 16932, 4, 119055, 12483, 7369, 364, 120467, 74806, 12415, 148346, 1211, 10069, 17288, 148346, 25207, 98071, 36326, 194170, 292, 199145, 3373, 26, 68313, 1470, 75230, 2702, 8903, 7201, 21106, 1211, 2205, 1470, 54260, 1211, 9424, 54260, 2882, 7265, 10069, 6, 54260, 2648, 40697, 194170, 292, 22518, 54260, 148346, 2882, 7369, 2205, 220224, 23269, 14856, 11556, 23173, 1211, 6, 2077, 137, 168892, 6, 148346, 8580, 20315, 87311, 21295, 6, 186955, 6235, 159696, 1211, 10339, 25046, 64213, 4231, 29766, 2909, 119718, 120467, 56170, 4838, 3944, 35189, 220224, 49008, 8947, 6235, 159696, 1211, 292, 3056, 101251, 148346, 26612, 119718, 10705, 16803, 4, 710, 16870, 5666, 7201, 21106, 2702, 42542, 18225, 7746, 43649, 75230, 46053, 3120, 10676, 4, 199145, 7369, 6, 225975, 2882, 6, 159696, 15388, 4852, 54260, 23269, 17288, 148346, 25207, 98071, 36326, 194170, 3120, 4231, 114436, 9424, 54260, 2882, 6, 54260, 710, 247, 36324, 6319, 54260, 1211, 17824, 75230, 46053, 119055, 77188, 506, 29771, 148346, 1211, 44855, 506, 2702, 124470, 2050, 1470, 75230, 4667, 1285, 6, 54260, 2648, 40697, 3944, 35189, 3120, 6, 17645, 119132, 41764, 89184, 142429, 6, 99611, 8903, 506, 40096, 5, 95455, 220224, 49008, 6, 21106, 7611, 6235, 159696, 1211, 4231, 98071, 214766, 36326, 6, 80453, 33809, 119718, 1211, 5, 10069, 200795, 206994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 230764, 119055, 13845, 107581, 4269, 64260, 1644, 29771, 148346, 6093, 37826, 6235, 98055, 2882, 119718, 710, 230764, 7369, 16667, 18415, 3944, 16932, 23173, 40697, 6, 159696, 24152, 4, 6235, 506, 53414, 3069, 4151, 9424, 54260, 2882, 3120, 710, 16, 2205, 56976, 13845, 710, 4944, 36258, 137, 54260, 2648, 40697, 117902, 1644, 13805, 148346, 710, 90536, 120467, 37016, 4, 564, 5, 534, 4, 6, 5, 714, 5442, 710, 16, 1470, 5, 6, 211630, 112452, 4, 137, 2808, 5, 6, 148346, 5, 6, 113889, 35044, 29771, 148346, 6093, 2200, 220224, 1211, 5332, 204403, 107581, 2004, 6478, 5, 155, 710, 16, 6, 94741, 32206, 4, 9934, 5, 10149, 5, 2808, 418, 3131, 4852, 54260, 1211, 6, 148346, 92605, 171428, 7746, 7265, 1285, 6, 54260, 2648, 40697, 71180, 40377, 1211, 3120, 10213, 47526, 17190, 156325, 6, 148346, 54260, 28714, 9221, 7508, 54260, 12984, 2205, 6, 148346, 23173, 5, 3069, 4151, 9424, 54260, 2882, 3056, 7369, 1751, 75230, 1211, 6235, 159696, 1211, 6, 47351, 543, 710, 29766, 123329, 114338, 4, 37826, 1751, 75230, 1211, 6428, 47351, 6235, 506, 40096, 9213, 148346, 6093, 8903, 28726, 47332, 4838, 17824, 75230, 2702, 13159, 48775, 8903, 10069, 4113, 2451, 2648, 120467, 9424, 79238, 54260, 35465, 70845, 9213, 148346, 6093, 5666, 119718, 21106, 2648, 7265, 220224, 1211, 32054, 75230, 4, 4151, 113889, 4667, 95455, 172312, 193178, 70845, 4838, 9424, 238144, 28320, 874, 39083, 196991, 220224, 1211, 163139, 67873, 292, 119718, 120467, 37826, 70845, 7508, 54260, 6293, 6235, 101296, 40920, 56170, 4151, 21422, 2882, 74, 3120, 4838, 220224, 20315, 119132, 710, 17310, 5666, 212915, 4, 199145, 22753, 56169, 230764, 6319, 119273, 2200, 620, 23174, 2882, 118439, 40697, 6, 124470, 26659, 4, 159696, 33716, 7369, 6, 47351, 123736, 7201, 114436, 6, 71577, 710, 195088, 4, 119055, 77188, 4838, 18906, 139394, 4, 4838, 115222, 2865, 59919, 292, 92500, 220224, 23269, 6, 159696, 24152, 3120, 10676, 81444, 4852, 133671, 41764, 89184, 142429, 6, 68558, 145813, 710, 21847, 12483, 1751, 75230, 1211, 120202, 4852, 54260, 1211, 6, 149364, 4852, 43178, 28726, 4944, 4484, 54260, 2882, 2200, 220224, 1211, 6, 159696, 75386, 148346, 48904, 46598, 5, 5332, 7508, 54260, 16803, 9213, 148346, 6093, 6, 189098, 20315, 2050, 78278, 26612, 506, 6093, 133671, 6, 99766, 142429, 29771, 13805, 65689, 17190, 148346, 16667, 3131, 2702, 54260, 61397, 4, 8947, 6, 73381, 171428, 7746, 7201, 23173, 70845, 3523, 54260, 4113, 151614, 162642, 171433, 28320, 2200, 6, 59919, 150349, 87442, 710, 119718, 1211, 4, 7369, 160238, 2865, 54196, 7746, 1470, 75230, 2702, 95766, 4838, 21776, 119718, 39083, 92866, 24001, 59461, 6, 189098, 6, 47351, 4838, 23847, 13159, 710, 119718, 1211, 32887, 2865, 149364, 26612, 96302, 4, 22518, 54260, 148346, 23093, 4113, 148346, 25207, 40697, 6319, 75322, 17748, 153796, 448, 4, 1751, 34533, 6, 189098, 24012, 40377, 125897, 10339, 54260, 67873, 230764, 220224, 23269, 49268, 63188, 2648, 125897, 1470, 88945, 43178, 84514, 448, 4, 6, 105235, 21295, 7746, 6, 189098, 657, 54260, 148346, 2200, 17190, 148346, 1211, 3069, 35189, 364, 54260, 1644, 123329, 6, 112353, 196991, 1285, 118439, 448, 4, 199145, 151614, 148346, 1211, 220224, 1211, 17190, 148346, 1211, 26394, 148346, 90848, 12984, 5, 2648, 120467, 3056, 6235, 159696, 1211, 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 ]
[ 1751, 29631, 63593, 103023, 80885, 5332, 204403, 107581, 2205, 220224, 1211, 28726, 148346, 1211, 4, 1285, 5332, 204403, 107581, 3120, 1470, 75230, 34575, 213783, 3523, 54260, 4113, 6, 159696, 15388, 2200, 56170, 148346, 2442, 171428, 6, 21106, 36419, 148346, 2442, 133671, 5, 220224, 1211, 6, 149364, 4852, 43178, 44779, 2190, 127209, 105330, 4, 1054, 120467, 37826, 70845, 6235, 73381, 13497, 6, 148222, 75230, 15388, 2200, 37826, 3120, 97995, 88917, 2808, 75230, 2702, 6235, 192539, 2882, 220224, 1211, 6, 238144, 16932, 103023, 1211, 17190, 148346, 16667, 240863, 4, 364, 120467, 6, 148346, 54260, 70845, 40653, 8903, 212484, 2882, 4838, 119055, 10705, 16747, 4, 199145, 37826, 7746, 6319, 54260, 5666, 2865, 39083, 42493, 241997, 56170, 506, 54260, 67873, 74, 1751, 75230, 1211, 2205, 9424, 141943, 164461, 6093, 6, 101328, 61621, 4838, 68550, 4, 25391, 54260, 148346, 213952, 220224, 23269, 14856, 11556, 23173, 1211, 4, 119055, 12483, 7369, 3056, 1751, 75230, 1211, 6235, 159696, 1211, 6, 47351, 6, 21106, 16932, 212915, 4, 1751, 145161, 77188, 7369, 10676, 5332, 22426, 15533, 142429, 3120, 9424, 77928, 35465, 70845, 6, 189098, 220224, 1211, 32054, 75230, 92500, 192544, 7265, 6, 208048, 86510, 1211, 6, 89930, 4, 7265, 36324, 13845, 107581, 43649, 23173, 39340, 119055, 6093, 16932, 4, 119718, 710, 7369, 119055, 39083, 2882, 8947, 6, 64260, 7369, 29659, 9213, 148346, 6093, 8903, 28726, 148346, 2882, 5, 6, 64260, 1285, 81444, 4852, 125897, 16175, 48775, 8903, 10069, 4113, 3056, 6235, 159696, 1211, 4151, 45521, 70598, 172398, 4, 199145, 37826, 70845, 43649, 188301, 6, 61397, 54260, 56169, 3069, 14856, 20560, 4, 3069, 6, 129071, 710, 119718, 131044, 5, 2200, 4838, 75386, 21776, 124740, 2882, 40096, 3120, 6, 17645, 119132, 4, 144754, 9213, 148346, 6093, 28726, 148346, 161829, 1211, 36324, 75230, 7508, 54260, 12984, 41764, 89184, 142429, 3056, 6, 130991, 220224, 1211, 7369, 29659, 7972, 16932, 23173, 13456, 6, 159696, 24152, 230764, 6, 54260, 10069, 3131, 4, 137, 35189, 6428, 87442, 2884, 2004, 199145, 7369, 364, 120467, 171433, 8903, 25391, 710, 148346, 1211, 2205, 543, 10991, 4, 3069, 1381, 4231, 29766, 5, 5, 49209, 2648, 29771, 65146, 1211, 20033, 1470, 75230, 42410, 44478, 1211, 4838, 6, 172060, 185226, 4, 199145, 3056, 4838, 6, 148346, 710, 35044, 2190, 112595, 23173, 105235, 16747, 44779, 5, 6, 113889, 21338, 29771, 148346, 6093, 6, 21106, 54260, 1211, 22518, 54260, 148346, 2882, 3142, 137, 10069, 81444, 4852, 125897, 9213, 148346, 6093, 4852, 21660, 109226, 15, 69355, 14856, 47526, 17190, 156325, 16, 151614, 148346, 1211, 1470, 75230, 4667, 20033, 3523, 65482, 148346, 1211, 10676, 43649, 75230, 2702, 13342, 7508, 54260, 35465, 73784, 10339, 39083, 4484, 2205, 220224, 1211, 1470, 54260, 2932, 114436, 145813, 48775, 4667, 5, 3120, 241662, 6, 68558, 506, 29771, 148346, 6255, 6, 139449, 6, 80453, 33809, 119718, 1211, 874, 54260, 23269, 110573, 15662, 850, 2200, 22518, 54260, 148346, 1211, 6, 159696, 24152, 230764, 35189, 145813, 48775, 4667, 2909, 10213, 47526, 17190, 7916, 16667, 110573, 609, 27137, 37826, 7369, 6235, 104149, 6, 148346, 54260, 132213, 2442, 54260, 12984, 2205, 4231, 29766, 149635, 4, 2200, 137, 20315, 2050, 6428, 87442, 31212, 155, 37826, 7369, 74806, 12415, 148346, 1211, 4, 657, 75230, 2882, 2648, 71512, 1470, 54260, 2932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 65482, 7508, 54260, 2648, 2205, 543, 10991, 4, 107776, 1470, 75230, 2702, 4838, 18895, 4484, 2205, 4838, 361, 2451, 1019, 4231, 29766, 5, 29771, 75578, 6, 113889, 35044, 29771, 148346, 6093, 4, 199145, 37826, 163139, 3373, 26, 68313, 133632, 4, 74806, 12415, 148346, 1211, 220224, 23269, 50647, 15050, 895, 22426, 710, 9934, 171665, 30869, 4, 37826, 657, 54260, 40920, 241997, 4838, 186421, 151614, 148346, 1211, 4, 84475, 95766, 10676, 4231, 29766, 4, 119055, 12483, 7369, 37826, 74806, 12415, 148346, 1211, 10676, 137, 2648, 87442, 31212, 2004, 84475, 2205, 35189, 6428, 174121, 3120, 220224, 1211, 9213, 148346, 6093, 240863, 3069, 6, 54260, 10069, 3131, 4, 119055, 13845, 107581, 10339, 186955, 1470, 75230, 2702, 2205, 2808, 54260, 1211, 41764, 89184, 142429, 7265, 220224, 1211, 56170, 148346, 25207, 183216, 6, 148346, 54260, 132213, 7508, 54260, 12984, 4, 199145, 241662, 68313, 7369, 6, 186955, 6235, 159696, 1211, 543, 4231, 29766, 6, 47351, 118076, 5, 2200, 23165, 37826, 7369, 2205, 86138, 3120, 1285, 81444, 4852, 125897, 361, 2451, 1019, 4231, 29766, 74806, 12415, 148346, 1211, 221895, 6, 54260, 2648, 40697, 6, 159696, 24152, 4, 95766, 116486, 39293, 84475, 2205, 6, 59919, 56880, 4, 199145, 220224, 49008, 56170, 1644, 29766, 1211, 6235, 76776, 183216, 4, 165592, 75230, 163139, 1285, 80839, 40920, 3120, 220224, 1211, 220273, 40026, 6093, 15622, 5666, 13497, 32, 163139, 8947, 170479, 6, 99611, 4852, 54260, 1211, 4, 95455, 200795, 3069, 194706, 4151, 240863, 65482, 6, 159696, 24152, 3056, 137, 35189, 6428, 87442, 31212, 2909, 2702, 26, 68313, 23165, 6, 99611, 6319, 54260, 1211, 3069, 7201, 21106, 4, 199145, 220224, 1211, 7369, 29659, 3944, 16932, 23173, 2702, 6, 159696, 24152, 230764, 6, 54260, 10069, 3131, 3056, 6235, 159696, 1211, 4838, 73095, 174121, 93509, 158652, 5, 3069, 73095, 59929, 6093, 37826, 1751, 75230, 1211, 6, 113889, 35044, 29771, 148346, 6093, 6, 71804, 23405, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 60631, 4484, 2200, 117578, 13159, 4, 163139, 3373, 26, 68313, 3069, 6, 104149, 3120, 220224, 1211, 4838, 119718, 97634, 148346, 101328, 2932, 48775, 7916, 4113, 15, 4852, 5, 1105, 194, 125523, 159696, 1211, 7369, 3056, 6235, 159696, 1211, 4838, 3523, 54260, 7511, 6093, 7682, 192544, 4, 37826, 70845, 220224, 1211, 6, 44478, 89184, 111571, 6, 238144, 4852, 59461, 9213, 148346, 6093, 8903, 8903, 148346, 1211, 10676, 87481, 186955, 3120, 657, 13159, 24295, 16667, 137, 11851, 1211, 35189, 217247, 2004, 4151, 21733, 6093, 213952, 70845, 4151, 148346, 54260, 4, 199145, 3056, 36324, 75230, 16667, 32887, 174121, 55451, 1211, 170315, 34575, 9221, 213952, 56170, 70845, 4838, 75386, 6, 148346, 54260, 3131, 22426, 15350, 1470, 54260, 29171, 4113, 6, 128540, 104038, 6, 129071, 710, 29766, 5, 4151, 81444, 4852, 123329, 91799, 6, 238144, 4852, 59461, 37826, 6, 21106, 54260, 1211, 1470, 75230, 4667, 2205, 710, 29766, 543, 3882, 4, 6, 148346, 14236, 3373, 26, 68313, 6, 23173, 75230, 2702, 24012, 88660, 71804, 710, 10676, 6, 172398, 6, 148346, 26612, 61541, 3069, 6, 101470, 25207, 25616, 905, 28320, 3120, 6, 54260, 35465, 4, 132025, 8903, 25391, 710, 148346, 1211, 4838, 17288, 148346, 25207, 98071, 36326, 41764, 17645, 36419, 159308, 6, 113889, 51723, 37271, 50931, 6, 148346, 111272, 2004, 199145, 4269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 120467, 1644, 29771, 148346, 6093, 6, 225975, 2882, 6, 159696, 15388, 11265, 4, 36324, 137, 30473, 37826, 125523, 710, 16, 137, 2808, 5, 564, 5, 4269, 120467, 1644, 29771, 104238, 2200, 220224, 1211, 5332, 204403, 107581, 2004, 9934, 5, 36213, 5, 17800, 54260, 13497, 1470, 75230, 4667, 241997, 220224, 1211, 4838, 7038, 82576, 56170, 17288, 148346, 25207, 98071, 36326, 22518, 54260, 148346, 6093, 2909, 10069, 81444, 4852, 125897, 63259, 13159, 1211, 6, 159696, 15388, 32887, 40096, 6093, 151614, 148346, 1211, 230764, 6, 113889, 21338, 29771, 148346, 53414, 6235, 101296, 40920, 4838, 17824, 75230, 46053, 22444, 37460, 4, 119055, 13845, 104238, 119055, 77188, 42493, 120202, 8903, 2865, 87442, 44064, 2205, 26612, 9424, 54260, 2882, 4838, 68550, 4, 119055, 12483, 7369, 3056, 1751, 75230, 1211, 4838, 4151, 119718, 92605, 2702, 114436, 6, 148346, 42695, 4, 2200, 29659, 75230, 16803, 70845, 3069, 6, 80453, 33809, 119718, 1211, 220224, 23269, 110573, 15662, 850, 230764, 10676, 81444, 4852, 133671, 6235, 148346, 15907, 5, 7369, 25391, 54260, 148346, 2882, 241662, 6, 68558, 15, 13342, 953, 4231, 29766, 16, 1285, 200795, 123736, 215206, 71512, 28726, 41764, 17645, 36419, 69355, 21776, 21106, 1211, 17190, 148346, 1211, 2205, 17288, 148346, 25207, 98071, 3131, 130170, 1211, 78104, 21338, 137, 75322, 42421, 2200, 6, 124470, 18553, 2004, 159696, 1644, 107581, 3056, 125523, 6235, 159696, 1211, 7508, 75230, 2200, 2190, 69708, 54260, 46545, 2200, 199145, 3056, 6, 148346, 54260, 70845, 7201, 23173, 148346, 7972, 148346, 1211, 2205, 110573, 609, 1982, 15435, 5, 2205, 4231, 29766, 149635, 55242, 56169, 7369, 9213, 148346, 6093, 4838, 16175, 54260, 1644, 69355, 7213, 44478, 2702, 41764, 17645, 36419, 137, 10069, 7508, 75230, 148346, 6093, 155, 2200, 2205, 382, 4231, 29766, 4838, 68550, 292, 56170, 7201, 59929, 2882, 7369, 137, 20315, 2050, 6428, 37016, 16878, 4667, 2909, 1470, 75230, 101608, 137, 20315, 2050, 6428, 87442, 31212, 155, 364, 120467, 7369, 1470, 75230, 4667, 171433, 8903, 25391, 710, 148346, 1211, 4838, 41764, 17645, 36419, 137, 10069, 56170, 75290, 18415, 6, 159696, 75386, 2004, 199145, 3056, 3069, 235210, 12483, 7265, 113889, 4667, 110573, 609, 27137, 56170, 1644, 29766, 1211, 6235, 240863, 12483, 4, 2200, 4838, 117902, 2442, 17288, 148346, 25207, 98071, 36326, 41764, 17645, 46053, 2205, 14857, 506, 3149, 54260, 2050, 657, 34365, 40096, 46646, 48706, 15350, 5, 4151, 13342, 125523, 6, 94741, 63020, 18225, 6235, 20315, 20260, 12483, 4, 36324, 10069, 29434, 75322, 40096, 40697, 160238, 2050, 3056, 6, 148346, 104383, 6235, 159696, 1211, 220224, 6093, 117902, 172060, 44478, 2205, 4151, 506, 3131, 171665, 10125, 7972, 16932, 40096, 14303, 2200, 3069, 235210, 12483, 7265, 1285, 160238, 51723, 3120, 76961, 2932, 29766, 17645, 2200, 75179, 292, 1470, 75230, 2702, 8903, 80453, 33809, 119718, 18415, 174538, 12483, 56170, 4151, 18906, 171665, 15350, 152185, 80453, 137377, 26612, 119859, 152848, 5, 119718, 710, 364, 120467, 1470, 75230, 2702, 8903, 104149, 4151, 123736, 215206, 24295, 21106, 3120, 4151, 41764, 17645, 36419, 292, 6, 238144, 46053, 62808, 42493, 4, 163139, 1644, 20033, 151614, 148346, 1211, 5960, 42493, 4, 6, 238144, 1644, 4269, 64260, 1644, 29771, 148346, 6093, 37826, 70845, 21106, 54260, 1211, 42493, 6235, 13982, 905, 20911, 4, 6, 238144, 1644, 6428, 55049, 1211, 2205, 4231, 114436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9424, 54260, 2882, 4, 44064, 4838, 17288, 148346, 5, 25207, 98071, 81829, 27513, 4, 3056, 6235, 159696, 1211, 4838, 6, 238144, 101608, 46711, 75230, 2050, 3120, 10676, 17824, 119273, 1211, 51453, 14857, 171665, 46067, 4, 119055, 6093, 105884, 2882, 125523, 4838, 6, 54260, 2648, 65689, 5, 95455, 220224, 49008, 6235, 159696, 1211, 9424, 54260, 28320, 4, 159696, 1211, 14856, 37826, 6235, 98055, 2882, 230764, 22518, 54260, 148346, 1211, 6, 54260, 10069, 3131, 4, 163139, 230764, 4838, 195007, 14325, 148346, 4852, 75230, 506, 4, 199145, 6, 148346, 1644, 75230, 4852, 2205, 4838, 119055, 29771, 4944, 16870, 123329, 9424, 54260, 2882, 119055, 77188, 8947, 6235, 97634, 1211, 4, 163139, 26612, 6, 56052, 657, 31623, 9134, 4, 73784, 9424, 54260, 2882, 7201, 23173, 23822, 54260, 148346, 5, 2200, 1285, 199145, 151614, 148346, 1211, 6235, 506, 40096, 20315, 2050, 187667, 3069, 56170, 73381, 13497, 28726, 12984, 220224, 123073, 6, 54260, 2648, 40697, 6, 159696, 24152, 4, 151614, 148346, 1211, 8947, 8903, 97634, 1211, 6, 148346, 3131, 124470, 44376, 4, 2205, 4151, 129165, 27105, 84475, 130170, 4838, 41764, 36419, 119718, 2648, 171433, 448, 5, 710, 65482, 9424, 54260, 28320, 10339, 147713, 1211, 1285, 6, 54260, 2648, 40697, 6, 159696, 24152, 4838, 144532, 119718, 183512, 53414, 2205, 110573, 609, 1982, 15435, 4, 137377, 7972, 15388, 6, 148346, 54260, 1285, 18895, 148346, 16847, 9424, 141943, 164461, 6093, 6, 101328, 61621, 4, 6, 148346, 15533, 220224, 10339, 147713, 1211, 4151, 104149, 10069, 3944, 40920, 125897, 1751, 54260, 1211, 74, 36324, 75230, 3056, 6235, 159696, 1211, 6, 148346, 54260, 6, 126700, 155, 67873, 4, 6, 148346, 54260, 4838, 13805, 43178, 61541, 35465, 4, 6, 148346, 54260, 6, 29060, 24295, 59461, 1211, 2200, 36324, 75230, 3056, 1470, 75230, 4667, 6235, 159696, 1211, 7265, 17727, 2932, 120467, 1644, 29771, 148346, 93497, 137, 2648, 87442, 31212, 2909, 101251, 9183, 183512, 6093, 213952, 3120, 364, 84577, 3069, 364, 84577, 2205, 101296, 68380, 84316, 22426, 2882, 4, 3056, 4838, 56170, 23847, 54260, 4852, 18415, 233089, 6, 23173, 54260, 23405, 73381, 21106, 1211, 3069, 1470, 54260, 119132, 4, 119718, 120467, 37826, 22753, 120202, 8903, 13982, 905, 20911, 4, 99509, 7265, 6428, 55049, 61541, 53414, 4, 42493, 120202, 506, 15907, 213952, 10069, 1470, 54260, 105405, 52480, 28726, 4944, 4484, 54260, 28320, 3120, 139939, 54260, 2648, 65689, 1285, 21106, 87442, 4, 1470, 75230, 2702, 123103, 213952, 70845, 6093, 16932, 238144, 4852, 7265, 6, 109316, 96302, 1211, 2200, 160238, 51723, 3120, 41764, 75230, 1644, 65689, 6, 54260, 10069, 3131, 4, 2200, 21106, 2702, 3069, 2932, 29771, 148346, 292, 130170, 4838, 129165, 27105, 1211, 6, 113889, 51723, 5, 6, 113889, 21338, 29771, 148346, 6093, 37826, 44064, 95766, 4838, 9424, 54260, 2882, 4838, 68550, 6235, 101296, 40920, 4838, 6235, 119718, 21106, 2648, 4, 6235, 13982, 64260, 10676, 6, 23173, 75230, 2702, 8903, 148346, 6093, 144754, 4838, 116486, 26394, 2702, 4, 37826, 7746, 120202, 8903, 225975, 2882, 3120, 10676, 6235, 2648, 55049, 28320, 73095, 152194, 92500, 132025, 8903, 148346, 64260, 1211, 56170, 1211, 56170, 147713, 6093, 6, 47351, 4838, 83182, 32887, 152194, 4, 4838, 1751, 57277, 24152, 7201, 23173, 148346, 13159, 77188, 1211, 2200, 9213, 148346, 6093, 8903, 23173, 148346, 213783, 4, 123736 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6093, 6, 17645, 119132, 32887, 152194, 51678, 62808, 6, 99611, 2200, 20033, 192183, 12483, 6, 148346, 1644, 75230, 4852, 18906, 22426, 28320, 3120, 10676, 120202, 8903, 2648, 55049, 28320, 37016, 39293, 2865, 22426, 1644, 23173, 4, 199145, 20033, 27702, 30473, 64213, 5, 95766, 4151, 81444, 4852, 123329, 6, 88660, 240143, 119055, 77188, 74806, 145161, 77188, 1285, 42493, 155, 76776, 115398, 28726, 4944, 4484, 54260, 2702, 3120, 6, 75322, 39083, 125897, 77756, 15050, 4, 95455, 101251, 195054, 73136, 149364, 36419, 9213, 148346, 6093, 101470, 7746, 7265, 6, 98071, 27023, 2702, 4, 199145, 236512, 31467, 10676, 3056, 198754, 3069, 7201, 23173, 4484, 16667, 1211, 1285, 6, 97634, 4944, 16932, 56170, 6, 47351, 1470, 54260, 148346, 133671, 10184, 4852, 65689, 2200, 3523, 54260, 2702, 150541, 1211, 6319, 21106, 125897, 4, 4838, 1157, 9183, 106737, 5, 74806, 12415, 148346, 1211, 3056, 1285, 41764, 17645, 36419, 657, 75230, 2882, 10676, 6, 148346, 233364, 198093, 11556, 82576, 152, 9424, 238144, 177630, 6, 48775, 214766, 12483, 7746, 4, 3944, 40920, 7265, 6, 105780, 82576, 207591, 1285, 119718, 15350, 20315, 10339, 208048, 2882, 40697, 25093, 31467, 12130, 4, 1285, 10339, 171127, 123073, 221067, 54260, 35465, 4, 1285, 1751, 119718, 710, 47526, 6093, 203326, 220224, 123073, 125523, 45521, 2702, 101608, 123073, 118439, 448, 3120, 1470, 54260, 1211, 22753, 2702, 74, 2190, 1285, 1470, 54260, 5, 2648, 109316, 18906, 171665, 46067, 4, 1285, 6, 186145, 61397, 3120, 3944, 4944, 46545, 54260, 2882, 2200, 3120, 76961, 6, 206126, 104855, 850, 292, 3120, 4151, 9424, 238144, 16932, 220224, 2882, 5, 6, 124470, 46352, 609, 56170, 101470, 10676, 1470, 75230, 148346, 113889, 1211, 10069, 10339, 75230, 28726, 2200, 564, 54260, 39293, 110573, 15662, 850, 4, 1285, 59616, 51138, 4, 1285, 123736, 148346, 2702, 73486, 183718, 1211, 4, 2200, 1285, 25207, 40377, 7201, 23173, 46545, 4113, 220224, 49008, 2205, 19302, 46598, 2819, 73784, 77208, 123736, 148346, 6093, 22753, 98833, 95455, 3944, 40920, 92500, 1285, 6, 105780, 82576, 207591, 46050, 98833, 11265, 41764, 95564, 5, 119718, 710, 23050, 225975, 2702, 4, 3056, 1285, 41764, 17645, 36419, 6, 47351, 120202, 3131, 22426, 710, 21847, 17310, 3120, 220224, 23269, 6, 149364, 4852, 43178, 192956, 9213, 148346, 6093, 28726, 148346, 161829, 1211, 4, 3120, 220224, 1211, 1470, 54260, 2932, 114436, 10339, 26612, 123559, 141943, 48775, 24621, 4, 2205, 159696, 1644, 104238, 8947, 220224, 49008, 6235, 159696, 1211, 131397, 103023, 1285, 221067, 54260, 35465, 7265, 1285, 118439, 448, 292, 92500, 7369, 21776, 4944, 13497, 7746, 4151, 710, 148346, 6093, 120202, 7265, 220224, 2205, 4151, 41764, 17645, 36419, 230764, 47351, 101251, 148346, 31177, 83811, 103023, 1211, 185527, 5, 1285, 132025, 189623, 33104, 5666, 3069, 4151, 41764, 17645, 36419, 37826, 70845, 113889, 4667, 4, 6, 89799, 850, 4, 6235, 8903, 148346, 1211, 6, 126700, 155, 1644, 4, 6, 148346, 54260, 119055, 13159, 12483, 7369, 3056, 2205, 4231, 29766, 543, 10289, 132, 124470, 4484, 8300, 155, 2648, 16, 6235, 159696, 1211, 4838, 43649, 188301, 6093, 1470, 29259, 23405, 54260, 6093, 2205, 30109, 63593, 76632, 72321, 4, 119055, 10705, 7369, 37826, 418, 905, 69859, 75322, 39083, 16803, 6235, 119718, 2808, 75230, 13497, 4, 2200, 364, 120467, 6235, 506, 40096, 1285, 6235, 147713, 5927, 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 ]
[ 2882, 3069, 6, 148346, 92605, 171428, 4852, 18167, 2205, 110573, 609, 1982, 15435, 7265, 220224, 1211, 137, 506, 42410, 2442, 159696, 75386, 2004, 199145, 7508, 98071, 1982, 155, 1644, 37826, 56170, 70845, 7201, 29766, 195054, 54260, 35596, 5, 6, 126700, 155, 75386, 137, 506, 42410, 2442, 159696, 21295, 155, 3056, 42493, 74806, 12415, 148346, 1211, 2205, 4151, 7201, 29766, 2050, 3120, 4838, 32887, 40096, 6093, 1751, 46545, 4, 3373, 26, 68313, 125523, 6, 148346, 1644, 75230, 4852, 4838, 120439, 109316, 2882, 4, 6, 68558, 6, 71577, 1644, 47351, 4, 6, 68558, 4838, 9424, 29060, 54260, 1644, 17310, 2205, 3373, 8300, 65482, 2702, 2200, 6, 129071, 1211, 4, 123736, 148346, 6093, 4151, 1285, 26612, 203749, 3056, 6428, 99766, 1211, 215031, 17190, 148346, 16870, 123329, 4, 1285, 6, 148346, 15350, 35189, 36324, 75230, 21776, 1644, 17645, 6293, 4, 36324, 4852, 54260, 151614, 148346, 1211, 230764, 4269, 120467, 1644, 29771, 148346, 53414, 6235, 192575, 2882, 9213, 148346, 6093, 212484, 1211, 4838, 43649, 23173, 38249, 22444, 37460, 5, 3131, 109636, 16932, 364, 120467, 220224, 1211, 6, 148346, 165592, 31212, 6, 148346, 54260, 5332, 140980, 53414, 2205, 6, 235210, 29771, 3131, 7611, 4, 6, 148346, 14236, 5332, 140980, 6093, 37826, 56170, 70845, 160238, 8903, 28726, 2884, 220224, 1211, 137, 101608, 4484, 109316, 2004, 70845, 6235, 8903, 148346, 1211, 10676, 1644, 21660, 28320, 43649, 75230, 2702, 3069, 6, 95494, 33225, 1285, 41764, 17645, 36419, 5, 126700, 155, 1644, 2200, 5332, 140980, 6093, 151614, 148346, 1211, 6235, 506, 59929, 4838, 17824, 75230, 36419, 10372, 109636, 506, 230764, 113889, 21338, 29771, 148346, 53414, 5, 123736, 148346, 6093, 4151, 22639, 6093, 192956, 2442, 3523, 54260, 16803, 4, 4151, 6319, 75322, 17748, 4944, 23173, 92605, 101608, 4, 1285, 1470, 54260, 2932, 5666, 23173, 46545, 74806, 15350, 35189, 18415, 45223, 35465, 4, 4151, 17190, 148346, 16870, 123329, 48706, 15350, 101296, 12984, 1285, 6, 88660, 240143, 56170, 6, 47351, 123736, 215206, 71512, 67873, 116486, 108264, 2882, 3120, 4269, 64260, 17410, 200117, 93497, 95494, 7201, 17310, 5, 92500, 4151, 6, 135249, 292, 1285, 193042, 15231, 25207, 711, 292, 95455, 81444, 4852, 125897, 101251, 148346, 31177, 83811, 103023, 80885, 2200, 1751, 23173, 17748, 18415, 2376, 15533, 54260, 1211, 4, 199145, 364, 120467, 1751, 75230, 1211, 6235, 21733, 109226, 2205, 14856, 47526, 2702, 29771, 16667, 9424, 54260, 28320, 4, 2205, 1285, 6, 159696, 24152, 3120, 236912, 119055, 39083, 17748, 68558, 4, 92500, 1751, 75230, 6, 148346, 48904, 905, 56169, 6235, 119718, 29766, 1211, 2205, 1285, 6, 159696, 24152, 37640, 4838, 6, 21292, 6293, 6, 59919, 1644, 4, 9424, 3149, 75290, 16932, 2200, 6, 126700, 155, 1644, 1285, 193042, 15231, 25207, 4, 199145, 3056, 6235, 159696, 1211, 4151, 17824, 88917, 3131, 65848, 4667, 69355, 4151, 10372, 171665, 10125, 8300, 54260, 2882, 4, 37826, 6235, 17268, 49008, 11265, 4269, 28726, 57619, 16747, 1211, 1470, 75230, 92904, 43082, 2205, 2932, 120467, 1644, 29771, 148346, 53414, 5, 4269, 64260, 1644, 239162, 32206, 137, 2648, 87442, 31212, 155, 43649, 54260, 2882, 24012, 35189, 123329, 3120, 137, 101608, 16580, 28726, 155, 4838, 75386, 56170, 188301, 2702, 3373, 8300, 161829, 6, 159696, 24152, 4, 123736, 148346, 6093, 4838, 75386, 193042, 15231, 184855, 6, 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 ]
[ 24152, 68313, 22753, 6, 148346, 137127, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 5, 1470, 54260, 179561, 23269, 3373, 8300, 65482, 2702, 12, 69355, 137, 2648, 87442, 31212, 155, 220224, 49008, 36324, 75230, 6319, 39083, 29766, 21292, 86070, 4, 3496, 23173, 129071, 6093, 15533, 52541, 36324, 75230, 46711, 73381, 44779, 1285, 186046, 3131, 75230, 49008, 4, 6, 238144, 56880, 6, 23173, 75230, 2702, 95455, 10339, 54260, 23269, 1470, 75230, 2932, 3120, 18895, 148346, 2442, 5, 113889, 4667, 4838, 3523, 54260, 2702, 37826, 4269, 64260, 1644, 29771, 148346, 6093, 1470, 75230, 111137, 97634, 1211, 12, 7369, 364, 120467, 4151, 6093, 3131, 16932, 6, 23173, 54260, 23405, 73381, 54196, 6235, 170355, 23405, 2205, 4151, 41764, 17645, 36419, 4, 7369, 3056, 6235, 159696, 1211, 165592, 75230, 3069, 6, 225975, 1211, 4, 4151, 27855, 59919, 3120, 4151, 6, 87311, 35189, 59461, 6, 54260, 2648, 152185, 48277, 142429, 48775, 24621, 4, 199145, 8947, 364, 120467, 6, 113889, 133324, 46598, 36324, 75230, 4269, 28726, 57619, 16747, 6, 84577, 119718, 7682, 21295, 220224, 1211, 10001, 141, 568, 124470, 1644, 9719, 2648, 123451, 4269, 39083, 2648, 7201, 93704, 12483, 661, 194, 2200, 1470, 75230, 4667, 81444, 37826, 7746, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 4852, 54260, 1211, 6, 81951, 56170, 10339, 39083, 152194, 52480, 28726, 4944, 4484, 54260, 2702, 292, 3069, 6, 148346, 21106, 4113, 148346, 1211, 220224, 1211, 6, 159696, 24152, 37729, 26612, 6, 110317, 2884, 4, 4838, 48277, 142429, 17645, 292, 230764, 10676, 6, 240863, 3120, 1285, 6, 21106, 18415, 6, 54260, 2648, 40697, 7201, 39083, 13805, 222907, 1211, 12, 137, 2702, 123131, 609, 91799, 2004, 137, 3149, 4944, 18630, 135227, 155, 1470, 155, 26612, 5, 1644, 62808, 151614, 148346, 1211, 7746, 23165, 4838, 6, 148346, 710, 35044, 657, 141847, 6093, 120202, 190135, 230764, 37271, 20315, 2050, 6428, 87442, 31212, 155, 6, 238144, 1644, 95455, 3496, 23173, 129071, 6093, 34533, 40697, 3120, 4151, 81444, 4852, 123329, 88660, 240143, 3056, 1470, 75230, 4667, 95455, 3496, 23173, 129071, 6093, 34533, 40697, 3120, 76961, 6, 113889, 21338, 29771, 148346, 93497, 159696, 24152, 5, 4269, 39083, 29771, 148346, 6093, 3056, 1470, 54260, 59461, 3120, 1285, 6, 148346, 93704, 54260, 2882, 213952, 80885, 6, 54260, 2648, 40697, 2702, 40096, 9221, 123329, 3120, 220224, 1211, 9424, 54260, 2882, 292, 1470, 75230, 148346, 42493, 4151, 6, 148346, 93704, 54260, 2882, 213952, 2702, 101608, 132, 1644, 24295, 21660, 16580, 3056, 1751, 75230, 1211, 6, 130991, 125523, 70845, 194, 1285, 193042, 15231, 25207, 3056, 6, 148346, 54260, 70845, 35189, 364, 75230, 22426, 2882, 59461, 119718, 4, 199145, 6, 148346, 26612, 159696, 98833, 76961, 220224, 23269, 6, 95494, 7201, 109226, 4, 3373, 54260, 2205, 22426, 90848, 39293, 4, 3373, 54260, 2205, 6, 59919, 56880, 74, 37729, 11265, 42493, 7369, 9213, 148346, 6093, 1285, 1470, 88945, 12483, 2200, 29659, 52480, 109226, 3120, 220224, 1211, 9424, 54260, 2882, 5, 73784, 6, 148346, 160022, 2702, 46053, 107776, 8947, 73784, 1470, 75230, 92904, 43082, 95766, 10676, 137, 2702, 54260, 2050, 2004, 199145, 7369, 37826, 120202, 8903, 13982, 905, 20911, 2205, 9934, 16629, 97634, 62808, 2205, 710, 23173, 184007, 5, 710, 16, 4269, 64260, 1644, 29771, 75578, 3056, 6, 21106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1211, 6235, 159696, 1211, 4838, 50963, 15388, 4, 37826, 205814, 75322, 2702, 3120, 17824, 75230, 36419, 506, 4852, 12130, 4, 119055, 13845, 107581, 220224, 49008, 6, 148346, 2702, 1982, 2702, 1751, 46545, 44779, 6, 23173, 114650, 46053, 4, 37826, 6235, 506, 59929, 4838, 10339, 54260, 23269, 67826, 24621, 92500, 4838, 6, 148346, 26612, 119859, 148346, 17310, 6, 21106, 54260, 1211, 3069, 193178, 48277, 142429, 710, 13159, 74, 4151, 13342, 3056, 7369, 6, 61397, 12483, 4838, 45521, 68959, 5666, 25391, 54260, 148346, 6093, 4, 4838, 17806, 22426, 1644, 29060, 5666, 101296, 104238, 4, 10339, 147713, 2882, 7369, 95455, 51453, 3120, 220224, 23269, 3944, 35189, 21106, 54260, 1211, 22753, 183216, 4, 2200, 564, 54260, 220224, 1211, 34654, 25207, 119718, 103023, 54260, 2882, 2200, 6, 124873, 73784, 163139, 7611, 4, 73784, 33414, 4852, 4484, 101296, 12984, 4, 6, 148346, 104383, 73784, 186046, 142429, 52541, 4, 7265, 220224, 1211, 118439, 65689, 73095, 2865, 149364, 26612, 96302, 4, 37826, 7369, 8903, 192575, 2882, 220224, 1211, 6, 47351, 6, 129071, 710, 29766, 292, 2200, 1285, 81444, 4852, 125897, 76961, 48277, 850, 364, 59929, 7369, 9213, 148346, 6093, 8903, 8903, 148346, 1211, 4852, 54260, 1211, 6, 124470, 1644, 9719, 2648, 4269, 39083, 2648, 7201, 93704, 171428, 5, 564, 54260, 3523, 64260, 17410, 200117, 53414, 2205, 1751, 104855, 10339, 147713, 1211, 6, 109995, 6235, 170355, 23405, 29771, 119718, 16667, 1211, 4, 2808, 75230, 6293, 119055, 13845, 107581, 4269, 39083, 2648, 7201, 93704, 12483, 46654, 35596, 6, 148346, 4852, 54260, 1211, 4, 4269, 64260, 71804, 148346, 93497, 88911, 44779, 10339, 147713, 2882, 4269, 39083, 2648, 7201, 93704, 12483, 113889, 4944, 201237, 12483, 230764, 1285, 105377, 58758, 2205, 6, 163177, 21292, 29771, 62808, 6093, 6, 48775, 1982, 127684, 113687, 4, 2200, 4269, 120467, 1644, 29771, 148346, 6093, 3056, 2808, 75230, 4667, 6235, 159696, 1211, 220224, 1211, 6, 159696, 2932, 238144, 168155, 6, 148346, 54260, 220224, 23269, 200795, 81414, 2882, 73784, 6, 54260, 2648, 65689, 32887, 40096, 6093, 4, 292, 148346, 54260, 220224, 23269, 200795, 6, 54260, 2648, 40697, 41764, 17645, 46053, 5, 2200, 7265, 198754, 178748, 18225, 6, 225975, 1211, 4, 36324, 1470, 75230, 1982, 2932, 39083, 2648, 7201, 93704, 12483, 3056, 6235, 159696, 1211, 4151, 6, 68566, 83182, 3120, 6, 54260, 2648, 65689, 73095, 59929, 6093, 4, 3056, 6, 113889, 35044, 29771, 148346, 6093, 6235, 159696, 1211, 4852, 54260, 1211, 3373, 16747, 4484, 5, 16, 17727, 35189, 137, 2702, 54260, 2050, 155, 3056, 6, 47351, 76961, 2932, 29766, 17645, 4, 23050, 148346, 75230, 2702, 230764, 10676, 147448, 69355, 1285, 6, 21106, 18415, 19302, 59929, 40697, 10339, 26612, 148346, 1644, 12483, 2200, 75179, 448, 6, 148346, 54260, 56170, 3131, 54260, 2648, 65482, 61541, 75290, 4, 2200, 1470, 75230, 4667, 6, 148346, 54260, 6, 54260, 35465, 4, 6, 159696, 15388, 1285, 48277, 850, 2200, 109817, 15050, 3120, 506, 5047, 4, 220224, 6093, 41764, 7682, 28633, 2200, 78104, 22426, 32572, 4, 220224, 6093, 37189, 2702, 95564, 54260, 2702, 2200, 6, 184855, 22529, 4, 17645, 20315, 1470, 54260, 112690, 39340, 7265, 11265, 4113, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 2200, 3496, 23173, 129071, 6093, 292, 2200, 21106, 4113, 3069, 235210, 12483, 177157, 148346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39083, 15533, 52541, 1285, 6, 54260, 2648, 40697, 137, 22426, 7511, 2004, 1285, 110573, 7972, 54698, 3131, 4, 6, 103023, 54574, 35044, 54260, 2702, 4, 1285, 221067, 54260, 35465, 4, 1285, 6150, 6093, 23269, 49920, 89930, 4, 1285, 6319, 69708, 12130, 2808, 165592, 155, 119718, 4, 119055, 13845, 107581, 7369, 6, 71804, 40920, 1470, 75230, 2702, 7265, 6, 148346, 15907, 53414, 145813, 64260, 5, 506, 99402, 6, 71804, 23405, 4, 9424, 21660, 75230, 15388, 4, 21776, 4852, 171433, 9221, 213952, 4, 123736, 148346, 6093, 17190, 148346, 16667, 4484, 84642, 4, 163139, 10918, 4484, 4, 6, 95494, 63020, 4, 4838, 7201, 29766, 21292, 2702, 13456, 4, 99509, 7265, 10339, 54260, 23269, 6235, 94741, 20260, 12483, 6, 159696, 15388, 115374, 92500, 220224, 123073, 83066, 109226, 5, 74806, 12415, 148346, 1211, 3056, 95455, 6, 159696, 24152, 2205, 6, 59919, 56880, 4, 2205, 26612, 32054, 54260, 12483, 6, 166198, 2050, 4, 33960, 104238, 6, 68558, 4838, 6, 166198, 2050, 4, 292, 6, 47351, 6, 186955, 22680, 135118, 40697, 2200, 186955, 54260, 2648, 40697, 10339, 39083, 13805, 21087, 2865, 192956, 10339, 29771, 46598, 5, 6093, 16932, 238144, 4852, 6, 238144, 4852, 2882, 7746, 1470, 75230, 4667, 6, 23173, 75230, 2702, 4838, 10339, 54260, 59461, 2200, 86510, 150839, 73136, 29766, 4, 163139, 4838, 43649, 54260, 59461, 4, 4151, 6, 87311, 113889, 203749, 3120, 4151, 6, 78683, 7611, 2200, 10676, 2808, 54260, 59094, 4, 4151, 6, 87311, 113889, 203749, 3120, 10676, 4838, 6293, 6, 159696, 15388, 10676, 123736, 13805, 1470, 155, 26612, 5, 2205, 2865, 48904, 107581, 6, 128540, 4, 77985, 4, 6, 159696, 15388, 10676, 123736, 13805, 2200, 10676, 119055, 39083, 6293, 4, 3056, 6, 204932, 40096, 710, 25207, 230764, 1285, 6428, 54260, 12130, 2200, 25093, 31467, 12130, 21934, 4838, 56170, 7511, 40920, 213952, 4113, 5, 35189, 874, 54260, 1211, 3120, 4151, 193042, 15231, 25207, 3056, 1470, 75230, 7201, 13342, 20315, 38249, 1285, 4269, 48904, 26394, 6235, 5, 9719, 37016, 54260, 2702, 2200, 5332, 155667, 3120, 1285, 76961, 186046, 165592, 161577, 4, 199145, 17190, 148346, 1211, 1470, 75230, 33225, 31581, 31467, 2884, 3120, 4151, 6, 148346, 15435, 59461, 67882, 36419, 2200, 46711, 213783, 22753, 125523, 7265, 1285, 6, 131445, 12, 113889, 2702, 1751, 41643, 22426, 2882, 11265, 1470, 54260, 4667, 4, 186046, 4944, 13159, 4, 2205, 4151, 364, 8580, 4, 165592, 11265, 37826, 42493, 6319, 54260, 1211, 83031, 4, 6319, 54260, 1211, 163139, 7611, 32, 133274, 448, 4, 1470, 54260, 59094, 4, 45521, 38054, 4, 564, 53414, 4, 119718, 120467, 163139, 21295, 11265, 76961, 6319, 54574, 4, 1644, 54260, 2882, 119055, 53414, 32, 119718, 710, 107776, 8947, 1470, 54260, 4667, 4, 36324, 11265, 6319, 35596, 76961, 874, 148346, 850, 4852, 95766, 119055, 21106, 2648, 19532, 54260, 1211, 4, 11265, 657, 54260, 2648, 92605, 13159, 38, 292, 119718, 120467, 45223, 23741, 1285, 6, 59929, 36677, 4, 199145, 3056, 22753, 220273, 1054, 77188, 4, 165592, 22753, 6, 148346, 26612, 29659, 54260, 2882, 3120, 6, 218241, 46053, 2200, 45521, 38054, 5442, 5, 26612, 17824, 75230, 46053, 170791, 56170, 23269, 63532, 2205, 4269, 64260, 1644, 29771, 148346, 93497, 6, 159696, 24152, 292, 4151, 155, 506, 75230, 22426, 2882, 2205, 137, 2648, 87442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31212, 2004, 2205, 137, 2702, 54260, 2050, 155, 2200, 137, 13845, 39478, 2004, 292, 137, 7511, 148346, 15096, 22426, 506, 2909, 95455, 3131, 16, 2932, 120467, 1644, 29771, 148346, 6093, 2050, 6235, 235210, 1644, 18415, 6, 159696, 24152, 21282, 68313, 1470, 75230, 4667, 4838, 3496, 23173, 129071, 6093, 34533, 152185, 167048, 18167, 3120, 1285, 6, 75322, 39083, 125897, 18906, 171665, 46067, 4, 132, 119718, 710, 3120, 4151, 10339, 39083, 13805, 7972, 16932, 40096, 14303, 6, 148346, 104383, 194, 20033, 6235, 7916, 49008, 4151, 69355, 4838, 11211, 22426, 54343, 710, 35044, 1470, 75230, 4667, 6, 148346, 54260, 5332, 140980, 53414, 2200, 6, 148346, 54260, 4838, 13805, 5666, 61541, 35465, 4, 133190, 6, 148346, 54260, 4269, 64260, 1644, 29771, 148346, 53414, 46685, 163139, 6, 148346, 54260, 76961, 51723, 5, 4269, 64260, 1644, 29771, 148346, 6093, 4, 3056, 4, 163139, 6235, 225975, 2882, 4, 6235, 159696, 1211, 4838, 115556, 69355, 43649, 23173, 38249, 32887, 2702, 149364, 75322, 172398, 4, 1751, 46545, 10339, 54260, 6093, 4, 2200, 110573, 10069, 3069, 115222, 2865, 33225, 144754, 1285, 118439, 448, 4, 364, 120467, 7369, 7746, 6235, 212484, 1211, 230764, 6, 21106, 7611, 5, 7265, 10676, 118439, 65689, 166617, 14857, 1211, 24012, 148346, 15096, 22426, 506, 37826, 7369, 220224, 37189, 27720, 6235, 2648, 87442, 5, 4151, 137, 2702, 54260, 2050, 155, 3056, 132025, 8903, 22426, 125897, 159696, 2882, 7265, 10676, 5, 2200, 95455, 81444, 4852, 125897, 24012, 148346, 15096, 22426, 506, 4, 13278, 2050, 3523, 90848, 148346, 44779, 2200, 119718, 133574, 2932, 23173, 4, 42493, 8947, 81444, 4667, 3069, 10676, 6, 159696, 24152, 4838, 6319, 39083, 29766, 15907, 2200, 4838, 56170, 148346, 7682, 54260, 2702, 4, 137127, 292, 4838, 6, 148346, 710, 35044, 1470, 3069, 874, 158969, 27105, 125897, 5, 23165, 220224, 49008, 2205, 6428, 55049, 101251, 5, 35189, 212484, 44779, 1285, 76961, 1470, 75230, 92904, 905, 38249, 4, 199145, 151614, 148346, 1211, 4838, 6, 148346, 160022, 1211, 364, 100810, 6093, 2865, 54260, 1211, 92500, 6, 75322, 39083, 1470, 75230, 4667, 4838, 6, 119859, 69106, 123736, 55823, 119132, 81414, 119718, 137218, 67873, 41764, 29659, 74, 95455, 6, 159696, 24152, 123736, 148346, 6093, 119718, 39083, 2882, 6, 68558, 6428, 13159, 56170, 1644, 29766, 1211, 220224, 1211, 1751, 23173, 42410, 54260, 2882, 2200, 3496, 23173, 129071, 6093, 21292, 21087, 38596, 54260, 2882, 4231, 247, 148346, 104383, 4, 13278, 2050, 4269, 120467, 1644, 29771, 148346, 6093, 37826, 220224, 6093, 6, 238144, 29171, 75179, 448, 74806, 12415, 148346, 1211, 5, 2702, 4667, 506, 171665, 1644, 206105, 4, 133190, 95455, 6, 148346, 710, 35044, 4, 199145, 3056, 81444, 4, 10339, 186955, 6, 148346, 60732, 72841, 1211, 7511, 2882, 6, 23173, 137377, 4838, 46590, 905, 3120, 215031, 16175, 21106, 172398, 54196, 1211, 75179, 448, 25391, 54260, 148346, 6093, 4, 163139, 5332, 140980, 6093, 3056, 6235, 159696, 1211, 5, 10705, 2865, 75290, 213952, 7746, 3069, 10676, 364, 75230, 22426, 2882, 109316, 96302, 3120, 4269, 64260, 1644, 29771, 148346, 93497, 95494, 33225, 4, 3069, 220224, 1211, 193042, 15231, 25207, 4, 151614, 148346, 1211, 20033, 3069, 56170, 8300, 54260, 4944, 171428, 125523, 4838, 117578, 13159, 84577, 6, 159696, 24152, 4, 13278, 2050, 6, 99611, 1470, 23174, 48904, 64213, 6319 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1211, 123736, 215206, 71512, 75386, 4, 137, 20315, 2050, 34076, 39478, 2909, 10069, 32887, 24621, 2200, 1285, 1470, 88945, 4113, 3120, 137, 21847, 39478, 155, 37826, 7369, 6, 139449, 3120, 31623, 3149, 4484, 6, 77188, 93497, 137, 100863, 39478, 188257, 2004, 37826, 1470, 75230, 4667, 1470, 75230, 2702, 8903, 3111, 56169, 1470, 54260, 4852, 7682, 188260, 38054, 116367, 9213, 148346, 6093, 4852, 21660, 17310, 3120, 6, 77188, 93497, 137, 21847, 39478, 155, 74, 123736, 148346, 6093, 4269, 120467, 1644, 29771, 148346, 6093, 37826, 8947, 165592, 75230, 123736, 215206, 710, 151227, 27702, 23173, 148346, 29060, 4, 36324, 75230, 56170, 98071, 10069, 29659, 4, 6, 23173, 54260, 23405, 13845, 54260, 98833, 2205, 10676, 36324, 75230, 46590, 193042, 15231, 25207, 3120, 220224, 1211, 1751, 23173, 59919, 41764, 12483, 4, 36324, 95455, 6, 159696, 24152, 364, 120467, 6, 148346, 26612, 104378, 26612, 6, 148346, 15533, 220273, 6, 148346, 165592, 905, 83182, 41764, 12130, 5, 95455, 4269, 48904, 26394, 6, 159696, 24152, 3056, 1470, 54260, 23405, 29060, 905, 185226, 710, 16, 1470, 54260, 29171, 4113, 6, 128540, 4, 119055, 10705, 1285, 9213, 18553, 6093, 212484, 28726, 4944, 4484, 54260, 2702, 4269, 54260, 2882, 4838, 12415, 148346, 6093, 4231, 29060, 119718, 88945, 23847, 65482, 7611, 4, 151614, 148346, 1211, 20033, 1470, 75230, 2702, 23269, 3131, 2702, 90848, 12984, 2200, 6235, 80885, 21295, 230764, 10676, 6, 64260, 41764, 41595, 4113, 44779, 5, 418, 4, 2808, 95766, 193042, 24152, 165592, 2050, 4, 2205, 6, 148346, 710, 16932, 6093, 4269, 21106, 2200, 5332, 18415, 63532, 7265, 86510, 1211, 364, 59929, 3069, 20315, 2050, 9424, 73381, 75230, 21295, 1211, 2200, 120202, 8903, 28726, 148346, 28320, 2205, 6, 54260, 2648, 65689, 17190, 148346, 1211, 5, 95766, 10676, 81444, 4852, 133671, 6, 159696, 24152, 6, 238144, 4852, 2882, 7746, 163139, 35189, 6, 23173, 75230, 2702, 2205, 220224, 1211, 2932, 48904, 89930, 6319, 48775, 23741, 4151, 1751, 29631, 46685, 4, 4151, 21776, 119718, 39083, 2882, 9221, 6093, 2200, 9424, 75230, 1982, 43178, 148346, 25207, 104238, 74, 1285, 6319, 171127, 44478, 40697, 220224, 2882, 3056, 81444, 4838, 3496, 21066, 4, 4838, 6, 148346, 54260, 170355, 4667, 4, 4151, 135249, 3056, 292, 1285, 116486, 22426, 26612, 119859, 152848, 4, 95455, 10498, 54260, 46053, 7265, 6, 148346, 54260, 48253, 1211, 1285, 76961, 22426, 203749, 1211, 2200, 132025, 3131, 7682, 161829, 1211, 3120, 4151, 241662, 123329, 6, 54260, 2648, 152185, 8009, 506, 5, 35189, 13342, 37826, 70845, 7265, 8903, 506, 39083, 33225, 95455, 192183, 12483, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 10676, 4269, 48904, 64213, 2442, 37016, 119718, 15533, 15907, 4, 7265, 119055, 13845, 12984, 8947, 37826, 7746, 6235, 10918, 33716, 4151, 56170, 8300, 54260, 46545, 6093, 28726, 148346, 2932, 2702, 3131, 2702, 54260, 61397, 12, 10676, 72577, 1211, 54260, 35465, 4, 10676, 118439, 4, 10676, 118439, 65689, 6, 201237, 6093, 4, 10676, 3149, 56880, 4, 95455, 9934, 9134, 6, 148346, 104383, 4, 10676, 6, 75322, 39083, 133671, 81444, 20911, 29766, 5, 10676, 117902, 13982, 137218, 48253, 7682, 144754, 1211, 6, 100863, 218241, 4, 10676, 46855, 119718, 506, 1054, 171665, 86270, 5, 199145, 1751, 54260, 4667, 4151, 145813, 48775, 4667, 2200, 10676, 73215, 1644, 4, 220224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 220224, 36324, 75230, 9424, 54260, 46545, 4, 99509, 2200, 41764, 44376, 850, 103023, 4, 36324, 75230, 6, 95494, 63020, 8903, 119718, 9221, 56169, 4, 36324, 3373, 26, 87311, 2932, 1285, 49008, 56170, 4838, 15622, 82576, 5, 159696, 1211, 4269, 120467, 1644, 29771, 148346, 6093, 37826, 132025, 8903, 25391, 710, 148346, 1211, 10676, 137, 21847, 39478, 2004, 3056, 101251, 148346, 26612, 119718, 10705, 16803, 74, 6235, 13982, 905, 20911, 37826, 7369, 70845, 2205, 4231, 29766, 159983, 2205, 137, 50931, 24621, 25391, 2004, 92500, 2205, 4231, 29766, 176284, 4, 4838, 117902, 2442, 4231, 29766, 56170, 220224, 1211, 16175, 75230, 2882, 4, 3056, 7369, 6, 23173, 75230, 2702, 2205, 4838, 148346, 165592, 905, 83182, 1470, 75230, 2702, 119859, 148346, 4113, 4, 3373, 212413, 34533, 13456, 1751, 57277, 24152, 6235, 192539, 2882, 2200, 9213, 148346, 6093, 8903, 23173, 148346, 29060, 4, 2200, 3120, 4151, 81444, 4852, 123329, 73095, 22426, 23173, 40096, 6093, 1470, 75230, 2702, 119859, 148346, 4113, 6428, 55049, 1211, 20033, 13159, 9213, 148346, 6093, 5, 64567, 1982, 3056, 117578, 13159, 84577, 3069, 6, 148346, 75322, 6093, 38249, 4, 36324, 230764, 4151, 895, 16932, 68313, 4269, 120467, 1644, 29771, 148346, 6093, 4, 163139, 3373, 26, 68313, 6, 148346, 233364, 13497, 5, 6235, 119718, 29766, 1211, 21776, 7972, 46677, 4852, 2200, 506, 64260, 69741, 23093, 6235, 4484, 90848, 15388, 230764, 4838, 3373, 4667, 6, 170355, 12984, 4, 199145, 7369, 37826, 2205, 4151, 9183, 105405, 6, 148346, 92605, 63593, 23741, 4, 1470, 75230, 4667, 220224, 1211, 6, 148346, 26612, 10918, 49597, 17310, 3069, 1285, 118439, 448, 37826, 132025, 8903, 119718, 29766, 1211, 11265, 6, 75322, 39083, 125897, 1751, 23173, 42410, 54260, 2882, 4, 2200, 4151, 710, 148346, 6093, 4, 6319, 68558, 220224, 1211, 4, 37826, 7369, 8903, 192539, 2882, 1470, 54260, 29171, 4113, 6, 128540, 2205, 137, 100863, 39478, 2004, 119055, 10705, 8947, 119055, 77188, 132025, 8903, 5, 68566, 33225, 4151, 6, 148346, 13845, 37460, 74, 1285, 81444, 4852, 125897, 6, 128540, 56170, 21847, 29060, 7369, 230764, 12, 137, 2808, 54260, 119132, 3120, 1285, 200795, 895, 2882, 80885, 221067, 54260, 35465, 155, 74, 132025, 29659, 64260, 12, 137, 54343, 113451, 148346, 79238, 155, 2702, 155, 292, 137, 905, 18415, 6, 54260, 2648, 40697, 3373, 54260, 48253, 81860, 448, 2004, 228830, 5, 418, 47709, 418, 5666, 29766, 3120, 6, 47351, 4838, 83182, 6, 56052, 3056, 6, 113889, 21338, 29771, 148346, 93497, 29434, 15907, 55242, 1644, 148346, 29659, 188301, 6, 159696, 24152, 137, 2648, 120467, 88911, 37640, 66293, 17806, 13845, 2004, 199145, 3056, 6, 23173, 75230, 2702, 2205, 4231, 29766, 141745, 95766, 6, 142429, 13159, 5, 95455, 37826, 163139, 57619, 7682, 3069, 160204, 6, 189098, 137, 22426, 90848, 23847, 13159, 2200, 21422, 119718, 15350, 15533, 215726, 155, 74, 3373, 26, 68313, 4838, 6, 80453, 33809, 119718, 3069, 1751, 145161, 53414, 10676, 17190, 148346, 16667, 5666, 48904, 5666, 3120, 4838, 6, 54260, 35465, 69355, 220224, 1211, 6235, 148346, 75230, 61621, 6, 148346, 15533, 220224, 1211, 16175, 75230, 2882, 657, 75230, 2702, 10676, 7038, 82576, 3120, 7213, 44478, 2702, 37271, 100863, 29771, 39340, 2909, 172060, 185226, 36324, 75230, 163139, 4838, 68550, 10676, 46050, 16803, 28726, 12984, 19302, 75230, 82576, 100863 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 218241, 4269, 54260, 2882, 103854, 95455, 4269, 48904, 26394, 17190, 148346, 1211, 3120, 10676, 46050, 16803, 4, 4151, 34076, 218241, 3056, 4151, 171433, 225975, 6093, 3120, 220224, 23269, 17953, 104855, 448, 2200, 220224, 23269, 46711, 75230, 93497, 6093, 292, 36324, 75230, 3523, 54260, 96256, 75230, 4667, 37729, 95455, 17190, 148346, 1211, 37640, 66293, 69715, 1211, 4838, 68550, 10676, 17806, 21847, 5, 4269, 64260, 1644, 29771, 148346, 6093, 3056, 4852, 54260, 6093, 6, 113889, 35596, 3069, 7213, 44478, 2702, 32887, 152194, 4, 7369, 6, 105515, 8947, 123736, 148346, 6093, 6, 68558, 2205, 26612, 6, 54260, 2648, 65689, 6, 196313, 5, 2205, 4838, 6, 54260, 2648, 65689, 4838, 33716, 6428, 135118, 12483, 4, 2205, 4838, 6, 54260, 2648, 152185, 28726, 148346, 16667, 46590, 120467, 29771, 7916, 4113, 5, 99611, 81444, 3056, 4151, 6, 99766, 7746, 120202, 13342, 128540, 1470, 75230, 4667, 10676, 4269, 119718, 21106, 2648, 123329, 6, 148346, 40096, 54260, 2882, 17310, 4, 199145, 1285, 6428, 54260, 153222, 3944, 16932, 40096, 14303, 37826, 6235, 506, 40096, 230764, 10069, 18906, 171665, 46067, 4, 6, 148346, 79989, 7213, 44478, 37826, 3069, 5666, 21660, 75230, 15388, 1285, 49920, 89930, 3120, 1285, 506, 3131, 171665, 10125, 25391, 54260, 148346, 6093, 2200, 3373, 26, 4852, 54260, 49008, 81444, 4838, 3373, 4667, 9213, 148346, 6093, 4852, 21660, 109226, 3120, 7213, 44478, 95766, 4151, 17288, 148346, 25207, 98071, 86733, 3944, 16932, 40096, 14303, 5, 230764, 6, 54260, 10069, 3131, 220224, 49008, 56170, 506, 47351, 148346, 1644, 75230, 4852, 3523, 16870, 54260, 1644, 36419, 6, 80453, 33809, 119718, 1211, 4, 2200, 3069, 220224, 221387, 6, 113889, 21338, 29771, 148346, 93497, 137, 30473, 56169, 2648, 120467, 4231, 98071, 214766, 155, 15, 95766, 137, 2648, 87442, 31212, 155, 16, 3120, 7213, 44478, 2702, 137, 35189, 4231, 17310, 164461, 4838, 2050, 6, 148346, 26612, 107581, 155, 92500, 137, 2648, 120467, 88911, 37640, 16667, 6319, 75230, 1644, 2909, 159696, 1211, 14856, 56170, 100863, 54260, 40377, 10676, 137, 17494, 13845, 155, 7265, 6, 29060, 24295, 59461, 2702, 137, 2648, 120467, 7972, 40920, 2004, 199145, 3056, 1470, 75230, 4667, 74806, 12415, 148346, 1211, 657, 75230, 2882, 137, 35189, 6, 100863, 29771, 39340, 155, 6, 148346, 75322, 6093, 20911, 18225, 8903, 119718, 710, 36419, 10372, 109636, 850, 3120, 137, 20315, 2050, 3944, 40920, 155, 230764, 10676, 137, 17494, 13845, 2004, 4151, 506, 75230, 22426, 2882, 148346, 3111, 8903, 4151, 1470, 75230, 7201, 7201, 59929, 17310, 4, 4151, 56170, 710, 98071, 10069, 3131, 17310, 4, 4151, 1470, 88945, 4113, 5, 1285, 6, 170355, 4667, 165354, 23165, 56170, 35596, 59919, 2882, 119055, 53414, 4151, 144754, 4, 199145, 6, 148346, 14236, 4269, 64260, 1644, 29771, 148346, 150839, 64260, 6, 148346, 165592, 905, 40920, 8947, 23174, 53414, 4, 37826, 5332, 140980, 6093, 56170, 70845, 160238, 195054, 54260, 35596, 4852, 54260, 23269, 6, 159696, 24152, 2205, 116486, 39293, 2200, 6, 59919, 56880, 4, 9424, 119718, 65689, 119055, 13845, 107581, 3373, 26, 68313, 1470, 75230, 4667, 8903, 159696, 1211, 137, 2648, 120467, 3944, 40920, 2004, 2200, 220224, 188301, 130170, 1211, 22444, 37460, 3120, 4151, 117902, 4113, 24621, 4, 99758, 217, 506, 64260, 6, 113889, 21338, 29771, 148346, 6093, 6, 139449, 1285, 55242, 1644, 148346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4113, 32887, 24621, 56170, 10676, 137, 17494, 21847, 2909, 710, 16870, 5666, 7201, 21106, 2702, 220224, 49008, 8947, 9424, 238144, 6, 119859, 69106, 55242, 1644, 148346, 29659, 188301, 4113, 6, 170355, 12984, 74, 6, 148346, 54260, 140746, 29771, 148346, 1211, 6, 139449, 1285, 32887, 24621, 6, 148346, 1644, 75230, 4852, 4838, 75386, 213909, 159696, 3069, 6, 87311, 67873, 10676, 6, 54260, 2648, 65689, 29659, 54260, 61397, 4, 123736, 148346, 6093, 6, 148346, 54260, 20315, 292, 230764, 166777, 56170, 3131, 54260, 2648, 65482, 2190, 136876, 5, 2808, 41595, 6093, 13159, 84577, 3056, 4, 36324, 137, 35189, 3373, 54260, 2050, 2004, 137, 35189, 6428, 87442, 31212, 2004, 137, 35189, 17494, 13845, 155, 151614, 148346, 1211, 4151, 28726, 148346, 2882, 3069, 206105, 1470, 75230, 7201, 71804, 8903, 2702, 5, 110573, 107182, 364, 23173, 2882, 6, 148346, 15533, 35189, 184639, 143628, 86733, 21776, 119718, 39083, 905, 42180, 2205, 66007, 4231, 29766, 37826, 18225, 125523, 4852, 54260, 6235, 104149, 2205, 56170, 4484, 75230, 6293, 5, 4151, 137, 21847, 3111, 1644, 2004, 163139, 1751, 75230, 1211, 6235, 225975, 2882, 4, 3056, 29659, 23173, 4484, 6, 148346, 26612, 23173, 148346, 29060, 6235, 119718, 29766, 1211, 74, 21422, 6, 113889, 21338, 29771, 148346, 6093, 37826, 8947, 6, 21106, 54260, 1211, 6, 148346, 26612, 5, 23173, 148346, 29060, 292, 3056, 6, 99611, 6, 148346, 26612, 119718, 10705, 16803, 4, 6, 238144, 1644, 3373, 26, 68313, 6, 23173, 75230, 2702, 8903, 76776, 183216, 364, 23173, 2882, 7201, 23173, 220224, 1211, 16175, 75230, 2882, 4, 119055, 12483, 7369, 3056, 1751, 75230, 1211, 6235, 159696, 1211, 4838, 148346, 2702, 39083, 36609, 6, 148346, 7972, 16747, 5, 133190, 46891, 37826, 7369, 70845, 6, 148346, 26612, 23173, 148346, 29060, 7265, 4838, 9424, 54260, 2882, 40026, 6093, 5, 10069, 6, 238144, 16932, 2648, 125897, 1470, 75230, 7201, 71804, 8903, 2702, 3120, 137, 2702, 54260, 2050, 155, 15, 119718, 23173, 36326, 4, 106355, 247, 220224, 49008, 1751, 75230, 1211, 6, 23173, 75230, 2702, 125523, 220224, 1211, 3373, 75230, 2882, 2200, 1751, 54260, 35465, 7746, 6, 148346, 1644, 75230, 4852, 2205, 19302, 54260, 29171, 54260, 28320, 10705, 13497, 6093, 3120, 4151, 184639, 1470, 75230, 7201, 71804, 8903, 5, 3056, 6, 238144, 16932, 1285, 10339, 48775, 8903, 12, 21776, 17800, 64260, 81444, 56170, 120749, 4852, 20315, 2050, 137, 17494, 21847, 155, 37826, 7369, 6235, 7916, 33716, 7265, 7746, 2205, 55242, 1644, 148346, 1211, 4231, 29766, 3120, 4852, 54260, 1211, 7369, 3131, 54260, 49008, 9424, 119718, 65689, 221895, 6, 159696, 24152, 230764, 220224, 1211, 7508, 54260, 39293, 9213, 148346, 6093, 3523, 54260, 60071, 212394, 4, 199145, 7369, 37826, 6235, 101296, 40920, 236512, 31467, 220224, 1211, 30109, 48904, 15307, 54260, 2882, 4, 2200, 2648, 99766, 1211, 8947, 4838, 79981, 56170, 3131, 80453, 15907, 72308, 81829, 1285, 99535, 16847, 4, 163139, 7369, 46654, 35596, 97634, 1211, 7265, 76961, 220224, 23269, 74330, 4231, 194, 7972, 35189, 37826, 4269, 64260, 1644, 29771, 148346, 6093, 292, 657, 75230, 2882, 220224, 23269, 1470, 54260, 2932, 65482, 7508, 54260, 2648, 292, 74806, 12415, 148346, 1211, 220224, 6093, 84087, 4, 4151, 240863, 12483, 3069, 194706, 220224, 49008, 123736, 148346, 6093, 220224, 6093, 6, 238144, 29171, 4, 4484, 75230, 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 ]
[ 9213, 148346, 6093, 4838, 9424, 141943, 164461, 5, 1285, 17824, 13159, 18415, 117902, 22426, 15096, 23173, 131044, 37826, 7369, 6235, 4484, 90848, 15388, 236512, 31467, 22753, 23269, 3944, 35189, 5, 163139, 220224, 23269, 6, 148346, 7511, 27909, 33960, 148346, 1211, 9213, 148346, 6093, 4, 3056, 7511, 2882, 6235, 159696, 1211, 6319, 54260, 1211, 1470, 54260, 1211, 6, 54260, 10069, 3131, 364, 75230, 4852, 4, 119055, 10705, 874, 26, 506, 64260, 220224, 23269, 3944, 35189, 6, 99611, 16, 55242, 6, 159696, 15388, 10676, 220224, 23269, 7508, 54260, 39293, 148346, 26612, 25391, 54260, 1982, 109226, 137, 2865, 36419, 564, 60071, 23829, 122544, 155, 132, 20616, 2865, 2932, 15435, 2004, 6, 124470, 2442, 4944, 155, 2648, 4, 9934, 5, 116, 78255, 5, 65283, 8903, 4852, 109226, 5, 7369, 3056, 6235, 159696, 1211, 4151, 215095, 220273, 2648, 68558, 3120, 2190, 4484, 48775, 71512, 5, 9424, 141943, 164461, 6093, 6, 101328, 61621, 6, 113889, 4944, 208048, 16747, 220224, 49008, 220224, 23269, 3944, 35189, 101251, 8903, 240863, 12483, 9213, 148346, 6093, 119718, 39083, 127684, 43649, 29060, 2200, 43649, 29060, 44779, 5, 6, 159696, 15388, 1470, 54260, 29171, 4113, 220224, 23269, 3944, 35189, 4, 199145, 4852, 54260, 49008, 6235, 159696, 1211, 220224, 6093, 117902, 172060, 44478, 4, 163139, 137, 35189, 6, 148346, 15435, 23269, 9616, 7682, 2004, 137, 112452, 92500, 364, 15350, 155, 2200, 84087, 6, 183512, 5, 4151, 8300, 54260, 21295, 1470, 75230, 4667, 220224, 1211, 15622, 105405, 22680, 54260, 16747, 1470, 5, 145115, 6093, 148346, 75230, 2050, 5, 2200, 4269, 64260, 1644, 29771, 148346, 93497, 3944, 35189, 151614, 148346, 1211, 163139, 24152, 44779, 1285, 6, 98683, 4, 199145, 506, 99402, 6319, 171127, 44478, 13456, 220224, 49008, 220224, 364, 41595, 6093, 105235, 105330, 4, 95455, 51453, 18906, 148346, 710, 128117, 210423, 506, 3131, 171665, 1644, 75230, 4484, 4, 56170, 87311, 15388, 220224, 123736, 148346, 6093, 10676, 6, 109316, 96302, 4, 199145, 101296, 40920, 220224, 6, 113889, 35596, 6, 17645, 35465, 67882, 46053, 96302, 81829, 74, 95455, 3056, 4151, 10339, 39083, 13805, 2702, 68558, 4, 1285, 41764, 134193, 4484, 54260, 2882, 4, 4151, 657, 54260, 4944, 16932, 4269, 48775, 2050, 5, 6, 159696, 15388, 4269, 120467, 1644, 29771, 148346, 53414, 88660, 1211, 18225, 22444, 98071, 4484, 6, 225975, 1211, 4, 36324, 2205, 70845, 151614, 148346, 1211, 7746, 23050, 48775, 214766, 2702, 9424, 238144, 3523, 121495, 12, 69355, 4838, 18906, 171665, 15350, 2200, 3120, 4838, 6319, 171127, 44478, 4, 2200, 42493, 55242, 21295, 1211, 37826, 1285, 200795, 101251, 8903, 148346, 48775, 40920, 1285, 9424, 238144, 18415, 5, 7201, 23173, 75290, 2882, 65146, 123736, 148346, 6093, 6235, 225975, 2882, 119055, 53414, 6, 159696, 12483, 4838, 16175, 54260, 1644, 3120, 220224, 151227, 710, 35189, 4, 36324, 123736, 23741, 2865, 39083, 37826, 70845, 1470, 75230, 4667, 1285, 7038, 39293, 6235, 2648, 41595, 5, 8300, 238144, 3944, 35189, 65146, 1211, 1470, 75230, 2702, 8903, 2882, 54260, 21295, 119055, 53414, 6, 148346, 165592, 905, 83182, 236512, 31467, 220224, 93497, 40096, 710, 25207, 2200, 6319, 171127, 44478, 152185, 186046, 142429, 17645, 5, 95455, 200795, 3056, 137, 10069, 59929, 36677, 2909, 95455, 3056, 4838, 55242, 21295, 65482, 193042, 15231, 25207, 230764, 10676, 224252, 710, 105515, 4, 119718 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 120467, 364, 54260, 16803, 6, 59929, 36677, 4, 230764, 1285, 105884, 1644, 91163, 6093, 4, 1285, 6, 148346, 13845, 88945, 850, 3120, 4151, 46646, 36677, 4, 230764, 1285, 6, 124470, 9719, 27137, 1285, 6, 29766, 63593, 13845, 54260, 2882, 4, 1285, 43649, 188301, 4113, 165513, 24621, 36326, 55823, 44779, 4, 1285, 6, 148346, 171433, 153222, 1751, 238144, 16667, 4, 199145, 151614, 148346, 1211, 221531, 3496, 64260, 3131, 4151, 69355, 4, 119718, 120467, 220224, 3523, 54260, 12483, 3069, 1285, 99535, 16847, 9213, 148346, 6093, 1285, 364, 54260, 168155, 5, 2648, 120467, 9424, 238144, 18415, 2451, 37271, 179625, 118439, 155, 2451, 68313, 26612, 186046, 142429, 17645, 230764, 1285, 146960, 13456, 148346, 609, 2648, 125897, 9934, 62808, 850, 5, 3069, 186046, 142429, 710, 13159, 364, 120467, 7369, 6, 148346, 104383, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 4838, 45521, 98071, 4484, 54260, 2702, 12, 2648, 120467, 3056, 6, 148346, 54260, 70845, 1285, 198754, 4113, 364, 183718, 3120, 4151, 193042, 15231, 25207, 4, 123736, 148346, 6093, 1285, 35189, 87311, 194734, 186046, 142429, 17645, 3056, 4838, 27855, 20315, 159696, 2442, 2205, 4151, 6428, 75322, 39083, 175483, 6093, 54260, 2648, 152185, 3944, 16932, 40096, 14303, 5, 3373, 26, 68313, 125523, 28415, 4838, 4151, 23847, 54260, 4944, 17310, 56170, 6, 113889, 21338, 29771, 148346, 53414, 4, 199145, 2205, 6, 148346, 15533, 182261, 6235, 238144, 13497, 6235, 159696, 1211, 3069, 22518, 54260, 148346, 1211, 2205, 32054, 54260, 12483, 166198, 2050, 5, 81444, 3056, 1751, 75230, 1211, 4151, 6, 121865, 2050, 74806, 1644, 120467, 1211, 4, 4151, 45521, 68959, 6235, 87311, 119364, 292, 26612, 6, 87311, 35189, 23269, 56170, 2050, 5, 2865, 26, 94741, 63020, 1470, 75230, 4667, 42493, 56170, 104149, 10676, 52059, 29631, 506, 34533, 29766, 65689, 119055, 77188, 69355, 874, 48904, 107581, 220224, 23269, 3944, 35189, 5, 77985, 4, 95455, 88911, 6, 48350, 65742, 6428, 54260, 48253, 2004, 199145, 16, 2808, 68313, 56170, 7201, 59929, 2882, 6235, 119718, 29766, 1211, 6, 148346, 14236, 8947, 3056, 6, 23173, 75230, 2702, 6428, 6, 65442, 17188, 4, 36324, 6, 54260, 35465, 192575, 1211, 132025, 97634, 1211, 1470, 54260, 90848, 109636, 98071, 36326, 19302, 54260, 35189, 4, 2200, 1751, 145161, 77188, 7265, 17190, 148346, 16870, 125897, 148346, 15350, 35189, 10676, 6, 75322, 39083, 133671, 6, 54260, 2648, 65689, 6, 240863, 4, 17190, 148346, 2882, 56170, 194706, 230764, 6, 47351, 4113, 22426, 15533, 142429, 2205, 4151, 6, 54260, 2648, 152185, 56170, 5666, 48904, 8903, 5927, 54260, 2702, 5, 84475, 95455, 88911, 137, 2932, 54260, 2882, 95766, 131397, 6, 23173, 54260, 1211, 2004, 199145, 7369, 37826, 74806, 12415, 148346, 1211, 6, 148346, 14236, 1285, 117902, 2932, 90848, 51723, 2205, 10069, 4838, 4944, 10918, 75290, 6, 101328, 61621, 4, 119055, 12483, 8947, 3056, 132025, 8903, 3131, 57277, 49008, 1285, 6, 84577, 2882, 75230, 3131, 17310, 2205, 10069, 143628, 36326, 22518, 54260, 2200, 3069, 235210, 12483, 7265, 10676, 3056, 6, 130991, 4151, 148346, 48904, 25616, 64260, 3120, 10676, 18906, 171665, 15350, 49792, 4838, 75386, 1470, 88945, 4113, 74, 1470, 75230, 4667, 4151, 1470, 75230, 42410, 14088, 41764, 8580, 35189, 17741, 148346, 609, 10918, 2884, 148346, 26612, 159696, 2932, 17310, 6, 148346, 189623, 98833, 4269, 64260, 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 ]
[ 29771, 148346, 6093, 73784, 1470, 75230, 92904, 43082, 2205, 20315, 2050, 88911, 137, 10069, 67882, 24621, 6, 189098, 1285, 114955, 2909, 10069, 76961, 3944, 35189, 151614, 148346, 1211, 20033, 1470, 75230, 7201, 23269, 235210, 21295, 3120, 56170, 3131, 54260, 2648, 65482, 8300, 54260, 48253, 12415, 23741, 1211, 4, 119055, 10705, 220224, 220224, 49008, 6, 148346, 36326, 124470, 905, 6235, 159696, 1211, 6235, 13982, 905, 20911, 4, 1470, 75230, 101608, 1285, 7972, 35189, 4, 199145, 220224, 49008, 6235, 159696, 1211, 6235, 13982, 905, 20911, 2205, 10676, 6, 148346, 43082, 23173, 79238, 101608, 37271, 506, 219552, 2004, 6, 238144, 1644, 20033, 151614, 148346, 1211, 220224, 42493, 241997, 46050, 15388, 5, 1470, 75230, 4667, 6, 238144, 46053, 20033, 7511, 2882, 4, 3120, 119055, 48904, 12483, 220224, 49008, 6, 139449, 1285, 3944, 35189, 137, 26612, 22753, 7201, 7611, 155, 2200, 137, 26612, 6319, 203749, 2004, 119718, 120467, 220224, 49008, 120202, 8903, 13982, 905, 20911, 2205, 6, 148346, 59929, 100810, 6, 84577, 39083, 29771, 46677, 5, 148346, 54260, 2050, 1470, 75230, 7201, 128540, 6, 113889, 21338, 29771, 148346, 93497, 6, 54260, 2648, 40697, 6, 159696, 24152, 151614, 148346, 1211, 20033, 2808, 75230, 101608, 4151, 6, 87311, 35189, 7511, 4852, 9221, 17310, 3120, 4151, 6, 29766, 97634, 2932, 48775, 7916, 4113, 6, 21106, 7611, 9213, 148346, 6093, 8903, 212484, 1211, 2205, 220224, 1211, 2190, 95064, 29659, 186955, 5, 109600, 220224, 49008, 2205, 178766, 58571, 64213, 9213, 148346, 6093, 148346, 105330, 42493, 1470, 75230, 46053, 6235, 159696, 1211, 13342, 6235, 148346, 1211, 4838, 6, 68566, 47526, 4113, 12984, 6, 208048, 1644, 15533, 3120, 4269, 64260, 1644, 29771, 148346, 93497, 6, 95494, 33225, 2205, 13754, 3131, 5, 2648, 120467, 119055, 29060, 1751, 75230, 1211, 220224, 1211, 1285, 1470, 75230, 7201, 119859, 148346, 4113, 3120, 4151, 6, 54260, 2648, 152185, 3944, 16932, 40096, 14303, 155, 8903, 16629, 4944, 18415, 2200, 46050, 46545, 5, 56170, 194706, 3056, 6235, 159696, 1211, 4151, 364, 75230, 22426, 2882, 8300, 159696, 4484, 292, 13342, 5666, 75230, 7201, 13342, 235210, 1644, 12483, 1285, 6, 54260, 2648, 40697, 3944, 16932, 23173, 40697, 6, 142673, 506, 3120, 1470, 5, 6, 148346, 5, 4269, 64260, 1644, 29771, 148346, 6093, 2200, 6, 238144, 56880, 4, 199145, 1285, 6, 54260, 2648, 40697, 3944, 16932, 40096, 14303, 37826, 3069, 56170, 2648, 48904, 5, 165354, 10676, 81444, 4852, 133671, 49920, 29771, 98071, 81829, 115222, 2865, 59919, 2200, 27855, 59919, 3120, 4151, 10372, 171665, 10125, 4, 17727, 2808, 2808, 75230, 6293, 199145, 56170, 4838, 364, 75230, 104238, 874, 212479, 7369, 37826, 6235, 148346, 48775, 40920, 1285, 6, 54260, 2648, 40697, 7972, 16932, 40096, 142144, 22426, 48775, 4667, 5, 123736, 148346, 6093, 1470, 54260, 16667, 163139, 67873, 20033, 81444, 2190, 16667, 6093, 103386, 54260, 12984, 12, 20315, 2050, 1751, 142144, 3120, 874, 141943, 109316, 126836, 81860, 710, 36258, 6, 95494, 33225, 6, 94741, 63020, 18225, 8248, 12984, 7511, 2882, 36324, 75230, 2205, 1285, 6, 159696, 24152, 3120, 1470, 54260, 4852, 7682, 28714, 9221, 6, 103023, 15, 119718, 710, 1751, 5, 3523, 54260, 6093, 163139, 10125, 29771, 148346, 1211, 247, 133190, 2205, 1285, 6, 159696, 24152, 3120, 1285, 119055, 39083, 127684, 4, 163139, 6, 47351, 4838, 13805 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 43178, 61541, 2648, 4, 26612, 6, 126700, 155, 1644, 2200, 86462, 171665, 1644, 292, 3120, 1470, 5, 6, 148346, 5, 6, 113889, 21338, 29771, 148346, 6093, 4, 119055, 13845, 104238, 3056, 3944, 16932, 23173, 13456, 74806, 57277, 49008, 4838, 3373, 4667, 17288, 104238, 3120, 10676, 56170, 2882, 54260, 2702, 142196, 184855, 46053, 2808, 54260, 4852, 7682, 28714, 9221, 6, 103023, 5, 6, 148346, 165592, 88917, 93497, 6, 94741, 63020, 18225, 4151, 148346, 54260, 6, 101470, 2205, 4838, 40920, 4, 165592, 874, 141943, 109316, 3056, 6235, 159696, 1211, 4269, 29771, 10813, 29771, 148346, 93497, 4838, 6, 124470, 1644, 9719, 2648, 4, 4838, 6, 148346, 1211, 148346, 2754, 4, 364, 120467, 8903, 506, 40096, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 657, 54260, 171428, 6, 113889, 35044, 29771, 148346, 93497, 6, 54260, 2648, 40697, 6, 159696, 24152, 2205, 171665, 609, 1982, 15435, 2200, 6, 148346, 26612, 2808, 54260, 5666, 21066, 71616, 119055, 53414, 3120, 220224, 4, 163139, 220224, 1211, 9424, 238144, 16932, 6, 124470, 1644, 9719, 2648, 2932, 39083, 2648, 7201, 93704, 12483, 5, 230764, 215031, 185527, 37826, 4269, 64260, 1644, 29771, 148346, 6093, 42493, 133190, 124724, 87442, 4, 5666, 29766, 1470, 75230, 4667, 101251, 79761, 87442, 120202, 8903, 3131, 22426, 710, 21295, 4838, 364, 34533, 29766, 40697, 6, 90848, 28726, 2205, 4151, 84577, 119718, 7682, 1644, 17310, 3120, 4151, 13754, 86733, 3944, 16932, 40096, 14303, 2200, 56170, 2648, 41595, 4838, 564, 171665, 61722, 133671, 99766, 9424, 119718, 65689, 11265, 4113, 6, 68566, 83182, 5, 10069, 6, 23173, 75230, 2702, 8903, 148346, 6093, 5, 47709, 2808, 10069, 6, 119038, 506, 6428, 54260, 48253, 1211, 148346, 54260, 194706, 3056, 6235, 119718, 29766, 1211, 56170, 119718, 34533, 1285, 6, 159696, 75386, 4, 24621, 4151, 4484, 35596, 1751, 75230, 1211, 6, 99611, 4, 119055, 6093, 3373, 26, 506, 64260, 182731, 92500, 119055, 6093, 6, 148346, 145161, 17310, 4, 119055, 6093, 56170, 29659, 183512, 92500, 119055, 6093, 3373, 26, 68313, 3120, 6235, 2865, 54260, 119132, 43649, 183512, 5, 148346, 15533, 4838, 506, 6093, 151614, 148346, 1211, 20033, 6235, 506, 40096, 177157, 12130, 12, 23405, 161270, 21923, 23050, 76776, 183216, 163139, 66846, 124470, 12130, 4, 21106, 4113, 17824, 75230, 36419, 657, 54260, 2882, 110573, 92904, 3131, 148346, 609, 2200, 119055, 29771, 12984, 2205, 220224, 2648, 65482, 19302, 54260, 35189, 5, 35189, 25093, 37826, 6235, 506, 40096, 4838, 6, 148346, 165592, 88917, 53414, 364, 15350, 31212, 4, 69355, 1470, 75230, 148346, 1211, 6, 148346, 15533, 6, 23173, 137377, 6, 238144, 2702, 163139, 4838, 107189, 12483, 4, 144754, 4838, 657, 48904, 15388, 6, 105235, 38249, 4, 657, 141847, 6093, 163139, 7369, 4, 92500, 3056, 6235, 4484, 90848, 12984, 163139, 4838, 6, 148346, 6093, 5, 26612, 118439, 1644, 3056, 6235, 240863, 12483, 95455, 41764, 12130, 56170, 4944, 2865, 23173, 29060, 4, 95766, 1470, 54260, 1211, 4838, 75386, 3373, 204403, 103023, 1644, 120202, 8903, 148346, 23173, 29060, 4, 2648, 120467, 364, 23173, 7611, 22639, 13982, 75230, 46053, 4, 54745, 1211, 133933, 2754, 20911, 1211, 9213, 148346, 6093, 1285, 136645, 4, 2648, 120467, 9181, 63849, 109316, 2205, 874, 75230, 1644, 2451, 92500, 46050, 20616, 148346, 116793, 5, 26612, 117902, 2648, 94741, 48253, 7682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37826, 1751, 75230, 1211, 73784, 364, 21106, 4852, 4838, 78104, 10813, 6235, 3111, 56169, 4, 506, 64260, 1285, 67826, 119718, 1644, 15, 75322, 39083, 9213, 95455, 6, 148346, 6093, 55546, 16, 6235, 172060, 56169, 5, 10069, 6, 78683, 204403, 18415, 3056, 6235, 159696, 56880, 1751, 75230, 1211, 42493, 36324, 75230, 6, 148346, 2442, 54260, 2882, 4, 92500, 130170, 2050, 3523, 23173, 21338, 874, 142429, 23269, 6235, 5666, 54260, 2882, 5, 26612, 6, 148346, 13845, 148346, 2754, 3056, 6235, 240863, 12483, 2205, 4838, 6, 78683, 23741, 1211, 7265, 4838, 3373, 204403, 103023, 4, 95766, 4838, 6319, 54260, 28726, 4944, 7682, 7544, 34709, 3056, 6235, 240863, 12483, 4838, 67882, 103023, 5, 363, 26612, 6, 69181, 119718, 92605, 2205, 4838, 125979, 3131, 148346, 609, 7265, 145813, 31623, 44779, 4, 204403, 7972, 183202, 13159, 2205, 37640, 13805, 65482, 657, 71577, 5666, 9719, 8300, 44779, 5, 70129, 448, 4, 7265, 6, 148346, 54260, 506, 29766, 4, 6, 71804, 23405, 163139, 6, 26394, 22426, 4, 141562, 24621, 6, 54260, 35465, 151614, 148346, 1211, 23050, 113889, 1644, 18415, 115222, 22426, 4, 3131, 2702, 3131, 171433, 39083, 710, 13159, 151614, 148346, 1211, 1285, 41764, 20308, 7265, 6, 148346, 9221, 23050, 4113, 119718, 48904, 1211, 4, 5, 23269, 44478, 18415, 151614, 148346, 1211, 7746, 6428, 54260, 48253, 6235, 2702, 90848, 15388, 5, 10918, 16747, 21923, 6235, 119718, 29766, 1211, 76961, 1470, 54260, 1211, 19302, 59929, 4, 24621, 4151, 4484, 35596, 1751, 75230, 1211, 6, 99611, 6, 112452, 115556, 2205, 4151, 4269, 59929, 5, 2648, 120467, 17824, 4113, 148346, 6093, 7972, 2648, 5, 62808, 3056, 6319, 54260, 1211, 874, 232187, 2442, 107581, 34076, 54260, 4667, 144754, 76961, 220224, 23269, 30109, 75230, 49008, 2819, 21106, 4113, 115374, 4, 6, 29766, 46598, 2200, 7508, 54260, 4667, 4, 192575, 1211, 6, 148346, 54260, 20033, 119055, 2808, 75230, 49008, 5, 20315, 2050, 148088, 850, 65146, 1211, 1285, 6, 29766, 63593, 13845, 54260, 2882, 4, 10069, 7508, 54260, 107581, 292, 220224, 6093, 168869, 850, 7201, 23173, 212484, 1211, 4, 119055, 12483, 8947, 107776, 1285, 9424, 54260, 2882, 13342, 119055, 2808, 75230, 49008, 2205, 874, 54260, 23269, 6, 80346, 5, 185758, 4, 7508, 54260, 107581, 657, 54260, 2882, 4, 3120, 17824, 75230, 46053, 43649, 183512, 4, 236376, 56170, 1470, 54260, 6093, 59173, 5, 506, 711, 506, 54260, 13497, 657, 54260, 2882, 11265, 230764, 16175, 54260, 6093, 6, 148346, 29060, 23269, 119718, 183718, 4, 2865, 29766, 15388, 292, 2205, 4151, 6, 93704, 7758, 5, 506, 54260, 13497, 9934, 35596, 11265, 125523, 6, 148346, 54260, 2050, 3523, 48904, 64213, 110573, 15662, 4, 506, 55990, 29060, 2200, 46711, 54260, 148346, 2882, 6, 78683, 97634, 159696, 2702, 5, 2865, 29766, 15388, 22518, 54260, 2882, 18225, 1751, 75230, 1211, 6, 119859, 69106, 364, 75230, 4667, 12, 37271, 141574, 506, 6, 124470, 89991, 874, 20635, 2909, 506, 54260, 13497, 4269, 54260, 2882, 11265, 40611, 4, 16175, 48904, 56169, 2200, 46440, 2882, 8903, 4852, 106559, 230764, 9213, 2702, 192956, 2702, 1470, 13458, 2819, 2865, 29766, 15388, 657, 176727, 11265, 1751, 75230, 1211, 56170, 16580, 21295, 2648, 29771, 2205, 6319, 186955, 1211, 6, 228605, 5, 506, 54260, 13497, 220224, 126934, 40026, 3131, 2200, 32054, 54260, 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 ]
[ 165284, 148346, 4, 29257, 6, 238144, 16803, 42493, 3120, 6319, 54260, 1211, 6, 189069, 2819, 2865, 29766, 15388, 6, 186461, 126934, 1751, 75230, 1211, 2205, 6, 139485, 148346, 292, 29257, 43649, 39083, 89930, 17824, 75230, 101608, 22518, 17800, 38, 758, 185758, 4, 115374, 4, 6, 101328, 98833, 2200, 657, 75230, 23741, 125523, 182731, 4, 185758, 119055, 39083, 2882, 133190, 4269, 39083, 2648, 6235, 119718, 2808, 75230, 15388, 74, 39293, 2882, 81444, 230764, 10676, 67826, 21733, 6, 61541, 94741, 145813, 710, 21847, 56170, 1285, 1470, 75230, 15388, 5, 165592, 75230, 21923, 6, 151227, 29771, 33225, 3373, 171433, 2200, 6, 76776, 40920, 292, 14004, 148346, 6093, 6, 148346, 6093, 2932, 2200, 43649, 54260, 59461, 10069, 4, 199145, 3944, 15388, 81444, 56170, 3131, 101296, 40920, 92500, 22444, 12483, 1470, 75230, 2702, 1285, 6, 148346, 54260, 59461, 5, 39293, 2882, 54745, 1211, 6319, 137377, 9424, 37016, 90848, 12984, 2200, 10339, 75230, 1644, 4, 2648, 99766, 3056, 4838, 874, 15662, 6, 195054, 116628, 4, 165592, 7369, 37826, 1470, 75230, 111137, 101296, 40377, 95455, 564, 54260, 1644, 4, 506, 29771, 148346, 1211, 76961, 74806, 119718, 116628, 5, 17645, 69106, 6, 148346, 54260, 47526, 3056, 4838, 6, 238144, 148346, 1644, 6235, 159696, 56880, 4, 3131, 75230, 1211, 163139, 64769, 100863, 21923, 2819, 2808, 75230, 148346, 3373, 26, 68313, 6, 75322, 39083, 6235, 159696, 56880, 1751, 54260, 1211, 4, 159696, 2442, 119055, 29060, 8947, 21422, 16747, 4151, 4484, 171428, 5, 2648, 120467, 17824, 75230, 95564, 54260, 2882, 119055, 77188, 81444, 133190, 56170, 3131, 204403, 32206, 4, 238144, 1644, 34076, 54260, 4667, 21923, 81444, 76961, 2819, 55546, 850, 2200, 168869, 850, 657, 54260, 1211, 23050, 7201, 99766, 4, 165592, 75230, 163139, 77756, 1211, 171665, 10125, 5, 92500, 4151, 6, 228605, 4, 199145, 6255, 4269, 90848, 148346, 4, 159696, 2882, 220224, 1211, 6, 47351, 15750, 25391, 2702, 121943, 2819, 4852, 54260, 1211, 6, 119859, 69106, 168869, 850, 4, 220224, 1211, 6, 119859, 69106, 151614, 148346, 4, 68313, 6, 12130, 56170, 6, 2050, 3373, 75230, 2882, 6319, 54260, 1211, 6, 180829, 5, 10069, 4231, 142144, 448, 32054, 54260, 12483, 7746, 230764, 220224, 1211, 16175, 75230, 2882, 4, 2648, 120467, 182731, 3056, 220224, 6235, 148346, 7972, 148346, 1211, 2819, 144754, 163139, 21066, 7544, 4, 7265, 163139, 21066, 3523, 75230, 2882, 5, 506, 64260, 7369, 8947, 3069, 5666, 75230, 111137, 144581, 148346, 1211, 5, 910, 13159, 3056, 70845, 6, 21106, 7611, 6235, 159696, 56880, 34076, 54260, 4667, 4, 6093, 28726, 4944, 4484, 54260, 2882, 2200, 6476, 20308, 4, 6093, 37826, 1470, 75230, 150020, 29060, 47351, 4, 3069, 119055, 53414, 7508, 54260, 4667, 4, 21106, 6093, 1644, 54260, 116618, 20308, 5, 119718, 120467, 107776, 70845, 21422, 16747, 4151, 69355, 6, 23173, 75230, 2702, 4, 506, 64260, 7369, 54745, 1211, 221531, 705, 144754, 657, 54260, 119718, 13497, 19302, 54260, 2648, 2882, 18225, 21422, 16747, 1470, 75230, 2702, 4, 119718, 120467, 6, 88660, 16803, 3523, 23173, 220224, 1211, 6, 179735, 711, 292, 69355, 76961, 6, 80346, 159308, 16175, 54260, 53414, 14856, 148346, 1644, 4, 148346, 1644, 54260, 148346, 2882, 70845, 133190, 95455, 48011, 5, 92500, 6, 23405, 15435, 40697, 3947, 39248, 710, 30315, 3120, 4838, 6, 159696, 13845 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 69355, 76961, 16175, 54260, 123073, 19302, 54260, 35189, 711, 292, 6093, 107776, 42493, 2205, 4151, 6, 88660, 48253, 3069, 160238, 1211, 4, 30473, 6, 148346, 1644, 54260, 148346, 2882, 10676, 6, 119312, 6, 142673, 506, 5, 144754, 199145, 37826, 7369, 56170, 148346, 48775, 40920, 1285, 6, 101328, 61621, 4, 4944, 26, 28726, 148346, 1211, 4, 4838, 17824, 75230, 2702, 6, 148346, 29260, 506, 5, 97634, 2932, 2200, 6, 76776, 40920, 6235, 71804, 40920, 4, 74806, 109636, 2882, 4, 8903, 110129, 20260, 12483, 2200, 6235, 8903, 46053, 5, 8903, 31249, 29771, 33225, 2205, 6, 59929, 54260, 6093, 6, 148346, 29060, 4, 20315, 1211, 123736, 25207, 212915, 56170, 8903, 2702, 12483, 5, 26612, 364, 23173, 7611, 37826, 7369, 6235, 506, 40096, 3120, 43649, 54260, 1211, 4, 92500, 364, 59929, 6319, 54260, 119132, 42493, 6235, 8903, 148346, 1211, 2819, 6093, 37826, 6235, 2865, 54260, 13497, 4, 36324, 7369, 6, 21106, 54260, 1211, 159696, 2882, 1751, 75230, 1211, 1470, 54260, 148346, 7682, 17190, 148346, 1211, 5, 10918, 16747, 37826, 7369, 7265, 76961, 34076, 54260, 4667, 26612, 6, 228605, 220273, 4838, 19302, 54260, 119132, 2819, 6093, 657, 176727, 292, 2200, 3056, 1751, 75230, 1211, 28415, 42493, 7508, 54260, 4667, 4, 144754, 6, 29766, 63593, 13845, 54260, 2882, 22639, 2808, 54260, 119132, 5, 966, 98055, 2882, 4838, 54260, 4667, 40611, 4, 11265, 3944, 148346, 4113, 657, 54260, 2882, 4, 165592, 75230, 6, 71804, 23405, 11265, 37826, 9424, 54260, 2882, 3069, 6, 104149, 661, 2077, 148346, 59929, 48775, 40377, 1470, 54260, 4667, 4, 6, 238144, 1644, 11265, 37826, 125523, 9424, 54260, 2882, 4, 119718, 10705, 506, 8580, 11265, 6428, 23173, 23741, 3069, 3523, 54260, 1211, 5, 2808, 54260, 35189, 11265, 107776, 2205, 874, 54260, 23269, 33960, 16932, 4, 506, 64260, 11265, 3069, 19302, 53414, 5, 165592, 119055, 2808, 75230, 1644, 3056, 10676, 4, 199145, 3056, 4838, 3523, 54260, 6093, 4231, 247, 35189, 119055, 29060, 6, 99611, 56170, 7201, 21106, 1211, 119055, 53414, 5, 35189, 6, 228605, 3056, 133190, 56170, 10676, 4838, 1751, 226112, 6293, 4, 5666, 29766, 4151, 364, 59929, 42493, 3069, 151614, 33225, 4, 63188, 3373, 26, 68313, 4838, 56170, 148346, 1644, 29771, 16747, 39293, 2882, 1751, 29771, 6293, 17268, 66293, 112216, 80885, 40377, 364, 183718, 4838, 177282, 29771, 33225, 5, 159696, 2442, 3373, 26, 506, 120467, 7746, 10339, 54260, 6093, 6, 148346, 26612, 236376, 4, 35189, 37826, 220273, 219947, 3069, 9934, 23173, 49209, 113889, 4667, 4151, 22518, 37016, 44779, 105780, 82576, 6093, 6, 76776, 40920, 4, 4484, 177148, 4838, 3944, 40920, 123329, 874, 29766, 15388, 5, 35189, 16175, 75230, 2882, 3056, 4269, 23173, 95455, 17824, 13159, 18415, 34076, 7682, 4, 119718, 120467, 4269, 59929, 37826, 10676, 115374, 6235, 8903, 148346, 1211, 2819, 35189, 6, 228605, 133190, 4838, 10498, 39083, 4113, 6, 148346, 2442, 7682, 4, 13342, 1211, 4838, 6, 148346, 13159, 53414, 17190, 148346, 1211, 5, 39293, 2882, 133190, 1470, 75230, 148346, 1211, 95455, 17824, 75230, 36419, 6235, 26394, 21295, 4, 119718, 10705, 8947, 7213, 46685, 1211, 1285, 43649, 53414, 152, 2648, 99766, 364, 54260, 148346, 2882, 7746, 6, 68558, 4838, 6, 159696, 21295, 4, 119718, 120467, 119055, 29060, 6319, 54260, 5666, 2865, 39083, 42493, 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 ]
[ 29111, 53414, 5, 8300, 119718, 65689, 6, 148346, 54260, 20315, 119055, 13845, 28320, 43649, 54260, 26, 1211, 16629, 7201, 44779, 292, 14856, 22444, 23741, 220224, 6319, 79422, 5, 16, 292, 6, 104149, 5, 710, 16, 292, 72577, 6093, 5, 1019, 35189, 7213, 59919, 292, 4151, 6, 148346, 8580, 6255, 6, 21106, 54260, 1211, 4, 168892, 83066, 9213, 148346, 6093, 7508, 54260, 4667, 2200, 6, 29766, 46598, 5, 2865, 71512, 186046, 3131, 75230, 49008, 133190, 6, 68558, 9424, 39083, 39293, 6255, 6428, 99766, 1751, 75230, 1211, 67826, 33225, 5, 95766, 4838, 54260, 1211, 7213, 21066, 119055, 13845, 6255, 6, 75322, 39083, 9719, 4667, 1470, 75230, 4667, 4838, 12415, 148346, 6093, 3131, 131539, 5, 10918, 16747, 22444, 6293, 6255, 874, 54260, 23269, 657, 54260, 2882, 12, 37271, 7201, 99766, 133190, 4, 160238, 2882, 6, 148346, 65577, 20971, 75322, 39083, 119055, 29060, 123736, 148346, 6093, 6, 104378, 4838, 9424, 54260, 2882, 4, 165592, 220224, 6, 159696, 67873, 20033, 76961, 23050, 148346, 1211, 137, 65577, 2909, 1126, 35189, 123736, 25207, 46685, 15750, 25391, 5, 132, 2808, 75230, 2702, 10676, 143628, 81829, 125523, 46050, 1644, 29771, 119718, 194, 37271, 7511, 56169, 8947, 5332, 22426, 13159, 4, 657, 29771, 62808, 7746, 42493, 6, 76776, 61621, 4, 13342, 220224, 1211, 4838, 6, 23405, 15435, 2200, 6, 124470, 9719, 2648, 3069, 6, 94741, 61621, 4, 5666, 29766, 95455, 182731, 3069, 5666, 75230, 7201, 13342, 95494, 61621, 32, 92500, 3069, 199145, 705, 43649, 23173, 148346, 1211, 2200, 6, 212484, 1211, 6235, 75386, 4, 26612, 12890, 7746, 4838, 57619, 145903, 153222, 1211, 230764, 4151, 6, 159696, 75386, 4, 92500, 125523, 10676, 16175, 75230, 2882, 125523, 3120, 657, 54260, 28320, 10069, 17824, 75230, 36419, 69741, 22426, 850, 2200, 6, 148346, 29260, 850, 3069, 151614, 148346, 1211, 4, 24621, 170479, 1470, 75230, 123503, 6, 228605, 7265, 1285, 6, 223390, 6093, 16175, 54260, 28320, 152, 37271, 64260, 81444, 657, 100810, 4151, 364, 36609, 6, 148346, 48904, 90848, 148346, 1211, 155, 292, 5666, 54260, 1211, 4, 119055, 12483, 3523, 64260, 170479, 20033, 6, 148346, 26612, 86733, 1211, 168869, 850, 4, 119718, 39083, 2882, 6255, 42493, 6235, 4852, 95494, 28726, 159696, 2702, 23050, 75386, 4838, 3373, 4667, 4, 92500, 119055, 39083, 2882, 6235, 119718, 2808, 75230, 13497, 2205, 16175, 54260, 123073, 6, 80346, 4, 92500, 119055, 39083, 2882, 6235, 119718, 15533, 1211, 4, 36324, 6255, 6, 148346, 8580, 7508, 54260, 4667, 4, 168892, 119055, 39083, 2882, 20033, 6, 124470, 9719, 2648, 3373, 37075, 850, 22426, 30721, 6235, 101296, 40920, 4, 92500, 119055, 39083, 2882, 3523, 109316, 148346, 2702, 2200, 119055, 39083, 2882, 6235, 71804, 40920, 5, 168892, 119055, 39083, 2882, 6, 57277, 39340, 4, 56170, 119718, 120467, 42493, 4, 3496, 26, 28726, 148346, 1211, 4, 14004, 6, 29766, 52480, 13845, 54260, 2882, 1470, 75230, 4667, 6235, 8903, 148346, 1211, 2909, 165592, 75230, 63259, 119273, 4838, 874, 39083, 4838, 6319, 148346, 64213, 4, 364, 17310, 6093, 7682, 2200, 6319, 48775, 20260, 5, 186461, 213952, 2205, 67826, 148346, 1644, 230764, 4838, 364, 23173, 16932, 6, 148346, 48904, 4484, 5, 92500, 163139, 7369, 105884, 2882, 36324, 75230, 3069, 7746, 6, 21106, 54260, 1211, 4, 35189, 39293, 2882, 7369, 162726, 34365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 448, 37922, 21660, 1211, 43649, 54260, 1211, 4, 26612, 16175, 54260, 1644, 6, 225975, 1211, 4838, 110573, 13456, 47890, 101296, 104238, 4, 963, 183512, 123073, 874, 54260, 49008, 125523, 4269, 71804, 104238, 661, 247, 165592, 95455, 3056, 6, 57277, 39340, 4151, 113044, 6235, 159696, 1211, 12, 4231, 16, 37271, 54260, 2648, 4, 163139, 1644, 16803, 4, 22753, 13497, 7369, 4, 7508, 54260, 4667, 119055, 53414, 4, 168892, 163139, 1644, 124724, 45223, 33225, 220224, 6093, 3523, 53414, 5, 119132, 95455, 6, 148346, 54260, 2648, 109316, 4, 55242, 133190, 4838, 49920, 4, 2808, 54260, 1211, 21776, 47526, 3056, 29434, 710, 49008, 4, 42493, 28415, 4, 5666, 29766, 36324, 18133, 119055, 119273, 95455, 6, 23173, 75230, 2702, 95494, 61621, 4, 159696, 2882, 1751, 75230, 1211, 6428, 99766, 6, 47351, 6, 183512, 93497, 364, 23173, 1211, 5, 29257, 192183, 16803, 36324, 75230, 6, 95494, 61621, 220273, 112216, 24621, 44779, 4, 148346, 15533, 18133, 119055, 119273, 119055, 53414, 7508, 54260, 4667, 163139, 4838, 6, 145146, 5, 5666, 29766, 95455, 6, 148346, 26612, 3131, 159696, 2442, 6255, 1285, 4667, 6, 148346, 54260, 6428, 54260, 1211, 17190, 148346, 1211, 4, 29257, 170479, 16803, 4151, 69355, 6, 99611, 4838, 21776, 47526, 1470, 75230, 2702, 23269, 148346, 1211, 4, 46685, 16803, 4838, 46590, 905, 220224, 1211, 163139, 4838, 6, 145146, 7508, 54260, 4667, 4, 148346, 15533, 18133, 119055, 119273, 42493, 95455, 6, 148346, 54260, 4944, 109316, 6, 23173, 54260, 5666, 119718, 23173, 33225, 2205, 16175, 54260, 4667, 2909, 6093, 364, 59929, 120202, 59461, 77188, 2200, 3056, 56170, 3131, 119718, 10705, 16747, 1211, 4, 92500, 4151, 6319, 148346, 64213, 37826, 95455, 6, 148346, 54260, 2648, 109316, 1470, 75230, 7201, 23269, 148346, 905, 42421, 5, 7201, 23173, 172033, 3056, 70845, 114564, 1285, 3523, 83586, 6, 23173, 75230, 2702, 8903, 21066, 75230, 15388, 4, 6093, 37826, 6, 99611, 6235, 21847, 75230, 148346, 2882, 220224, 23269, 1470, 54260, 2932, 65482, 1470, 75230, 15388, 5, 148346, 54260, 7746, 2205, 364, 23173, 64213, 37826, 7369, 6235, 236376, 12, 159696, 2442, 6, 238144, 16803, 32, 23165, 37826, 7746, 20033, 133190, 36324, 75230, 6235, 94741, 40920, 32, 5666, 29766, 163139, 6, 148346, 21106, 2648, 7369, 37826, 95455, 21776, 47526, 6, 23173, 75230, 2702, 139449, 4, 506, 64260, 7369, 1751, 75230, 1211, 6235, 104149, 4838, 72577, 1211, 210228, 4, 165592, 95455, 3056, 42493, 6319, 54260, 1211, 82563, 2050, 4, 42493, 6319, 54260, 1211, 3944, 15388, 4, 95766, 6, 148346, 54260, 2882, 109316, 3056, 1751, 75230, 1211, 6, 47351, 6, 183512, 93497, 6, 195054, 116628, 5, 292, 6093, 235466, 6, 23173, 75230, 2702, 95455, 221895, 74806, 119718, 710, 16747, 4, 92500, 32054, 54260, 2882, 7746, 163139, 4838, 19302, 54260, 1211, 192544, 4, 13159, 657, 176727, 1751, 75230, 1211, 6428, 99766, 4838, 25207, 47526, 163139, 35189, 75322, 39083, 4, 92500, 36324, 75230, 6, 238144, 16932, 4, 133190, 6, 68558, 4838, 9424, 39083, 5, 710, 16, 292, 34076, 54260, 104238, 5, 710, 16, 292, 6235, 159696, 1211, 5, 1662, 37271, 113889, 4, 6, 236376, 7369, 4, 364, 54260, 13497, 119055, 13845, 6255, 6, 21106, 218710, 56170, 8903, 46053, 4, 168892, 119055, 13845, 1751, 75230, 1211, 364, 54260, 13497, 42493, 81414, 20260, 12483, 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 ]
[ 42493, 8947, 1211, 4, 168892, 119055, 13845, 132025, 95494, 61621, 6, 148346, 15533, 874, 29766, 15388, 21776, 16747, 44779, 4838, 3373, 4667, 4, 2865, 29766, 15388, 119055, 13845, 6255, 1751, 75230, 1211, 220224, 1211, 220224, 6093, 6, 48775, 4667, 661, 247, 168892, 119055, 13845, 1751, 75230, 1211, 28415, 6319, 54260, 1211, 182731, 42493, 6428, 23173, 33225, 4, 159696, 1644, 6255, 95455, 6, 148346, 54260, 2882, 109316, 2205, 16175, 54260, 4667, 6, 23173, 54260, 5666, 119718, 23173, 33225, 5, 20315, 87311, 21295, 119055, 13845, 6255, 1751, 75230, 1211, 51678, 7508, 52541, 37640, 66293, 6235, 75386, 4, 92500, 119055, 13845, 8947, 132025, 506, 54260, 148346, 1211, 3069, 17190, 148346, 1211, 230764, 4151, 6, 159696, 75386, 155, 1211, 10069, 4269, 48904, 26394, 6, 76776, 40920, 37826, 7369, 1285, 9424, 54260, 2882, 56170, 148346, 48775, 40920, 5, 20315, 1211, 6, 183512, 53414, 16175, 171433, 364, 120467, 7369, 7746, 9213, 148346, 6093, 8903, 21733, 77188, 12, 37271, 165592, 4269, 64260, 37826, 20033, 6, 101328, 215031, 34076, 7682, 6, 148346, 26612, 3131, 77188, 4, 113889, 4667, 199145, 170479, 6255, 8947, 56170, 3131, 22426, 159993, 2190, 112304, 34533, 32, 168892, 6, 88660, 4667, 54745, 4667, 125523, 132025, 95494, 61621, 182731, 163139, 874, 34533, 38, 168892, 119055, 13845, 6, 148346, 13159, 6093, 125523, 657, 54260, 35465, 364, 17310, 6093, 2200, 3523, 75230, 2882, 92500, 119055, 13845, 125523, 4838, 3373, 171433, 42493, 8947, 1211, 4838, 67826, 21733, 6, 148346, 2442, 75230, 2882, 4, 92605, 4113, 15388, 119055, 13845, 6255, 874, 29766, 15388, 220224, 1211, 36324, 75230, 7508, 54260, 4667, 4, 165592, 6319, 54260, 59461, 119055, 29060, 20033, 6, 99611, 51678, 220224, 1211, 34076, 54260, 4667, 5, 168892, 119055, 13845, 20033, 16175, 54260, 123073, 45521, 38054, 44779, 6319, 75230, 33225, 4, 168892, 49027, 132025, 506, 54260, 148346, 1211, 230764, 4151, 6, 159696, 75386, 4838, 15529, 17017, 75230, 33225, 4, 95766, 1285, 97995, 75230, 36419, 43649, 29060, 119055, 13845, 6255, 160238, 1211, 4, 92500, 2190, 195164, 14088, 119055, 13845, 6255, 20033, 193178, 192183, 57277, 61621, 5, 21106, 4113, 6, 64260, 17494, 22426, 1211, 119055, 13845, 6255, 6, 101470, 2205, 117902, 13982, 93704, 4, 92500, 119055, 13845, 132025, 506, 54260, 148346, 1211, 17190, 148346, 1211, 7265, 186046, 93704, 5, 28726, 609, 14236, 31467, 506, 119055, 13845, 6255, 125523, 8947, 1211, 4838, 36419, 104238, 4838, 6, 94741, 61621, 4, 92500, 119055, 13845, 6, 238144, 101608, 21776, 16747, 44779, 6, 95494, 61621, 2909, 292, 6093, 6, 95494, 33716, 125523, 4838, 166464, 4, 8947, 34076, 34533, 7746, 70845, 125523, 4, 13159, 3523, 54260, 2882, 1751, 75230, 1211, 4838, 159696, 4484, 4838, 4269, 48904, 26394, 119055, 29766, 74, 6093, 37826, 1751, 75230, 1211, 76961, 32887, 22426, 132025, 8903, 16629, 2882, 84087, 4, 13159, 3056, 125523, 6, 21106, 7611, 42493, 163139, 21066, 7369, 163139, 1644, 5, 710, 16, 292, 7508, 54260, 4667, 5, 1530, 2648, 120467, 6, 148346, 54260, 2882, 109316, 4838, 159696, 4484, 119718, 23173, 33225, 6, 105515, 70845, 6, 148346, 48904, 2932, 5, 73486, 7611, 4, 199145, 170479, 6255, 1470, 54260, 4667, 4151, 8300, 54260, 67873, 6, 71804, 23405, 4, 6093, 37826, 36324, 75230, 6, 71804, 23405, 74806, 23173, 2882, 2200, 74806, 23173, 2882, 4, 92500, 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 ]
[ 6235, 506, 17310, 77188, 2200, 6235, 94741, 33716, 4, 148346, 15533, 7369, 3056, 6235, 119718, 29766, 1211, 6428, 23173, 163139, 4838, 6, 223390, 6093, 4, 92500, 3056, 6, 57277, 39340, 36324, 75230, 74806, 205416, 148346, 1211, 56170, 118433, 6093, 4231, 16, 14004, 66293, 1470, 54260, 8903, 119132, 67826, 148346, 1644, 4, 230764, 4151, 1470, 54260, 2932, 114436, 6, 148346, 48904, 4484, 4, 119718, 10705, 7369, 3056, 40026, 26, 2442, 6235, 147713, 1211, 6319, 48775, 20260, 74, 92500, 22639, 144754, 1211, 9424, 54260, 67873, 2200, 125523, 56170, 71804, 183216, 68313, 70845, 1285, 3523, 83586, 1470, 75230, 2702, 26, 8903, 240863, 12483, 5, 92500, 95455, 182731, 32, 6, 238144, 16803, 11265, 4, 199145, 3056, 6235, 119718, 29766, 1211, 4151, 75230, 2702, 32, 4852, 54260, 23269, 114955, 6, 148346, 2442, 65482, 12483, 8947, 21422, 16747, 1470, 75230, 96743, 75230, 6293, 45521, 38054, 4, 230764, 6319, 64260, 81829, 4, 230764, 16175, 54260, 123073, 19302, 54260, 35189, 4, 2808, 75230, 6293, 119055, 59929, 6093, 81414, 20260, 12483, 4, 1470, 75230, 4667, 230764, 6, 148346, 16870, 6093, 4231, 77518, 132, 13159, 170479, 1470, 54260, 4667, 220273, 42493, 56537, 220224, 1211, 4, 119718, 59929, 6093, 6, 88660, 16803, 364, 54260, 13497, 28415, 163139, 6, 238144, 1211, 194, 17268, 66293, 113044, 3056, 95455, 182731, 6, 130991, 4, 92500, 4151, 113044, 37826, 8947, 6, 148346, 21106, 2648, 4838, 159696, 4484, 139449, 16, 292, 364, 17310, 6093, 5, 710, 16, 292, 10213, 35189, 5, 2681, 2648, 120467, 8248, 46685, 7201, 54260, 8903, 28726, 5, 37271, 119718, 120467, 17806, 20911, 11265, 205026, 6, 68558, 4, 11265, 10339, 54260, 8903, 44779, 4, 203326, 1470, 54260, 123073, 32054, 54260, 192956, 1470, 54260, 8903, 44779, 119718, 120467, 6255, 33718, 205026, 42493, 4838, 7508, 9221, 4, 92500, 43649, 54260, 81444, 163139, 6235, 22680, 75230, 61621, 2819, 292, 10069, 6, 54260, 23405, 44779, 151614, 148346, 1211, 20033, 10069, 147582, 8903, 44779, 120202, 8903, 3131, 75230, 61621, 5, 168892, 55242, 1285, 6, 148346, 54260, 24621, 44779, 6, 148346, 7972, 12483, 4, 168892, 55242, 1285, 10339, 54260, 8903, 44779, 46654, 54260, 1211, 4, 168892, 55242, 3120, 4151, 6, 119312, 10676, 1751, 54260, 1211, 4, 92500, 119055, 39083, 2882, 1470, 75230, 4667, 3523, 53414, 23050, 21066, 75230, 49209, 2808, 54260, 35189, 6, 68558, 147582, 21847, 3069, 220224, 1211, 4, 3131, 75230, 1211, 6, 148346, 13159, 6093, 133190, 6, 68558, 1470, 75230, 15388, 5, 168892, 7501, 1470, 75230, 4667, 6, 75322, 39083, 23269, 21066, 75230, 49209, 4838, 68550, 4, 2808, 75230, 6293, 6, 148346, 6093, 2932, 2200, 16175, 39083, 92500, 2190, 107182, 14088, 4, 119718, 10705, 4838, 17824, 48350, 109316, 4, 119718, 10705, 4838, 7508, 54260, 4852, 109316, 506, 29771, 148346, 6255, 74806, 2865, 87442, 92500, 123736, 111137, 1644, 87442, 4, 92500, 151614, 148346, 29434, 710, 49008, 173967, 6235, 7916, 49008, 661, 194, 16, 292, 6235, 17268, 49008, 5, 2592, 506, 54260, 13497, 65146, 6255, 43649, 54260, 1211, 92500, 3069, 104149, 4, 119718, 710, 76961, 17190, 148346, 1211, 4, 21066, 54260, 1211, 2200, 1751, 159696, 148346, 1211, 4, 5666, 29766, 6255, 43649, 54260, 95766, 6, 147185, 4, 2205, 3523, 75230, 2882, 4, 13159, 3056, 20033, 123736, 4667, 2200, 6, 238144, 4, 168892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 148346, 8580, 7369, 61397, 163139, 16175, 75230, 2882, 5, 26612, 1751, 54260, 59461, 4838, 32054, 54260, 192956, 2442, 8248, 46685, 4, 3496, 26, 28726, 148346, 1211, 4, 159696, 51723, 3523, 64260, 37826, 133190, 147582, 21847, 6235, 8903, 148346, 1211, 4, 23173, 905, 69708, 25046, 7972, 12483, 230764, 76961, 220224, 28320, 4, 2808, 75230, 6293, 1285, 6, 148346, 54260, 46685, 4, 1470, 75230, 33225, 4269, 90848, 4852, 2819, 29771, 148346, 6093, 3069, 13342, 104149, 133190, 3120, 6, 238144, 28320, 4, 119718, 120467, 56170, 4838, 6, 238144, 2702, 171433, 3056, 95455, 711, 64260, 55242, 6255, 6428, 99766, 4838, 6, 148346, 54260, 2865, 109316, 4838, 1751, 54260, 16667, 4, 35189, 75230, 6293, 22753, 56169, 10339, 54260, 8903, 28726, 4838, 19302, 54260, 16667, 4, 172060, 185226, 163139, 6255, 4, 7265, 36324, 75230, 23269, 22753, 49008, 4, 172060, 185226, 163139, 6255, 3120, 46654, 54260, 3131, 2200, 6, 148346, 137119, 4, 35189, 4269, 48904, 89930, 17741, 129914, 3056, 133190, 29434, 710, 49008, 4, 13159, 37826, 147582, 8903, 44779, 4, 2200, 6255, 42493, 5, 6093, 29659, 98252, 26612, 58571, 26394, 9424, 54260, 2882, 4, 148346, 8580, 6255, 6, 148346, 54260, 2050, 34076, 7682, 8903, 159696, 56880, 657, 54260, 2882, 74, 168892, 6, 148346, 8580, 6235, 21066, 75230, 15388, 4, 119718, 10705, 506, 8580, 1285, 1470, 75230, 15388, 506, 29771, 148346, 1211, 6235, 21847, 34533, 92500, 151614, 148346, 23050, 119718, 34533, 4231, 16, 16, 292, 6235, 119718, 10705, 16803, 5, 1837, 69355, 4838, 17190, 148346, 1211, 92500, 151614, 148346, 120202, 8903, 8903, 148346, 1211, 13342, 3523, 40096, 4838, 6, 94741, 20260, 144754, 874, 54260, 1211, 23050, 4852, 48904, 76776, 28726, 40026, 2865, 23173, 15388, 4, 68558, 6, 89930, 4, 6, 68558, 9934, 29766, 15388, 74, 10918, 16747, 21923, 1285, 1470, 75230, 15388, 69355, 6, 238144, 49008, 20033, 7508, 75230, 2702, 4, 168892, 43649, 54260, 1470, 54260, 23269, 4113, 75230, 15388, 92500, 6, 148346, 8580, 7369, 61397, 163139, 16175, 75230, 2882, 5, 185758, 10339, 54260, 8903, 44779, 4, 199145, 3523, 64260, 37826, 1470, 54260, 4667, 6235, 8903, 148346, 1211, 147582, 100863, 418, 98055, 2882, 1470, 54260, 4667, 6, 68558, 2205, 20033, 4, 163139, 2205, 4838, 145813, 710, 21847, 106, 119718, 710, 8947, 6319, 68558, 7746, 6, 21106, 8300, 218710, 9213, 148346, 6093, 75290, 1211, 4, 119718, 710, 8947, 3056, 133190, 7243, 29771, 230764, 4151, 6, 159696, 75386, 6319, 54260, 1211, 3523, 105330, 74, 185758, 6319, 35596, 163139, 6255, 125523, 4, 9174, 55687, 4, 119055, 53414, 4, 13982, 54260, 6093, 6, 105515, 7265, 6, 31177, 83811, 230764, 20033, 4838, 6, 148346, 105330, 711, 62808, 21923, 81444, 4667, 76961, 6, 148346, 12415, 35189, 4, 1751, 159696, 82576, 4, 10705, 54561, 364, 120467, 6, 148346, 26612, 95494, 33225, 1470, 54260, 1211, 3523, 64260, 4, 4151, 6, 148346, 13159, 16932, 4, 23269, 63532, 205026, 230764, 1285, 147582, 8903, 44779, 4, 32054, 54260, 2648, 711, 92500, 6, 226112, 13497, 205026, 4838, 39340, 15388, 4151, 6, 119312, 6, 23173, 75230, 2702, 2819, 292, 39293, 2882, 11265, 4, 6428, 99766, 163139, 1285, 6, 119312, 1751, 54260, 16667, 4, 2648, 29766, 2702, 119055, 92605, 46053, 10676, 10339, 54260, 8903, 28726, 147582, 8903, 44779, 1470, 75230, 2702, 5, 168892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13845, 163139, 35189, 132025, 506, 54260, 148346, 1211, 23173, 905, 69708, 25046, 7972, 12483, 4, 119718, 10705, 10339, 54260, 8903, 44779, 1751, 159696, 148346, 1211, 4, 119718, 10705, 6, 148346, 54260, 24621, 44779, 6, 148346, 7972, 12483, 5, 2808, 75230, 6293, 76961, 3523, 25207, 39293, 44779, 4, 2808, 75230, 6293, 76961, 7508, 54260, 39293, 44779, 144754, 16175, 75230, 4838, 6, 49268, 137377, 109316, 159696, 1644, 6255, 95455, 115222, 22426, 109316, 2485, 62808, 120202, 119718, 26612, 81829, 4, 92500, 119055, 13845, 6, 76776, 81829, 26612, 46711, 137377, 1211, 4838, 22753, 46053, 4, 92500, 119055, 13845, 6235, 99611, 1211, 2648, 120467, 1751, 46545, 109316, 17190, 148346, 1211, 4, 119718, 120467, 3523, 120467, 37826, 20033, 6235, 8903, 148346, 1211, 12, 6093, 119055, 29060, 20033, 6, 148346, 26612, 86733, 1211, 2648, 120467, 1751, 46545, 109316, 6, 148346, 2442, 75230, 2882, 4, 92500, 6255, 119055, 13845, 6, 233367, 119055, 53414, 7201, 23173, 364, 33104, 59461, 2882, 75230, 2702, 2909, 165592, 75230, 6, 238144, 13497, 4838, 10339, 54260, 8903, 28726, 2200, 6319, 203749, 2882, 4, 69355, 1285, 9213, 148346, 6093, 125897, 56170, 29659, 75230, 46053, 4, 56170, 101328, 98833, 4, 10069, 147582, 8903, 44779, 120202, 8903, 3131, 75230, 61621, 4, 20315, 2050, 6, 88660, 48775, 163177, 132025, 8903, 119718, 2808, 75230, 61621, 4, 165592, 75230, 6, 238144, 13497, 8947, 7265, 46711, 53414, 2205, 1285, 1470, 75230, 15388, 4, 13159, 119055, 39083, 2882, 23050, 148346, 4113, 4667, 1470, 75230, 4667, 3523, 53414, 6235, 21066, 75230, 15388, 2819, 13159, 3056, 54745, 1211, 6235, 148346, 75230, 61621, 6235, 119718, 29766, 1211, 4151, 29771, 6293, 4, 238144, 1644, 3373, 26, 68313, 54745, 4667, 23050, 148346, 4113, 4667, 4838, 1751, 46545, 109316, 15750, 6293, 5, 292, 119718, 710, 21295, 11265, 95455, 101251, 21847, 7682, 192956, 10339, 54260, 8903, 28726, 51678, 705, 4852, 39083, 6255, 8947, 1470, 54260, 4667, 6, 148346, 54260, 2050, 6, 113889, 51723, 3523, 171428, 705, 114788, 10339, 147713, 2882, 18225, 8947, 6, 225164, 6, 148346, 54260, 2050, 34076, 7682, 4, 189098, 4838, 117902, 2442, 16175, 75230, 4852, 13497, 4231, 29766, 98252, 2819, 10918, 16747, 4, 36324, 1285, 147582, 21847, 220224, 49008, 70845, 120202, 8903, 117260, 28320, 4, 92500, 8947, 364, 120467, 7746, 1751, 75230, 1211, 6235, 3111, 2932, 6, 147185, 132025, 195054, 161577, 4, 92500, 8947, 37826, 1751, 75230, 1211, 23050, 148346, 4113, 4667, 42493, 4838, 6, 119859, 69106, 115825, 2648, 292, 506, 64260, 11265, 8947, 4838, 6, 113889, 51723, 6235, 8903, 148346, 1211, 6, 163177, 15435, 38, 113889, 35044, 29771, 1982, 93497, 6235, 235210, 1644, 18415, 75903, 24152, 4, 564, 183512, 1995, 1737, 2489, 35189, 6235, 5666, 23173, 16932, 115556, 5, 10069, 4269, 48904, 26394, 6, 159696, 21295, 3056, 133190, 4838, 82563, 2050, 4, 35189, 564, 35596, 3131, 17190, 148346, 2882, 2205, 11265, 6, 148346, 65577, 4, 6093, 3373, 48775, 40377, 4, 7369, 9934, 29766, 98833, 4, 6, 68558, 6, 47351, 6, 37016, 4, 148346, 15533, 14856, 235466, 70845, 3120, 70845, 4838, 159696, 4484, 5, 148346, 54260, 1285, 4231, 17310, 4113, 6, 101328, 61621, 163139, 1644, 7369, 133190, 6235, 75386, 4, 6093, 874, 54260, 16667, 95455, 3056, 1285, 4269, 48904, 26394, 6, 159696, 21295, 4, 99611, 22444, 98071 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4484, 74806, 1644, 29771, 33225, 4, 6235, 8903, 46053, 4, 68558, 10676, 17190, 148346, 1211, 133190, 56170, 8903, 46053, 5, 119718, 710, 21066, 7369, 151614, 4, 3056, 70845, 6, 21106, 7611, 6, 78683, 48974, 4, 25222, 148346, 70845, 72577, 2702, 4, 163139, 1644, 7369, 133190, 6, 148346, 13159, 6093, 4, 16629, 2702, 70845, 6, 68558, 4269, 39083, 2648, 4838, 6, 148346, 23173, 2932, 4, 159696, 2882, 7369, 6, 21106, 7611, 6, 159696, 67873, 220224, 1211, 125523, 17824, 13159, 6093, 5, 35189, 39293, 2882, 7369, 123736, 148346, 6093, 230764, 7746, 4838, 364, 29766, 4838, 4269, 90848, 12483, 4, 73381, 171428, 7746, 70845, 7369, 29659, 1285, 1470, 75230, 15388, 4, 6093, 215594, 4, 7369, 37826, 42493, 6235, 506, 40096, 6319, 54260, 1211, 221531, 69355, 1285, 6, 101328, 61621, 4, 199145, 21923, 4838, 159696, 4484, 8903, 21066, 75230, 15388, 5, 29257, 23050, 5666, 23173, 101608, 115556, 4, 6, 212484, 1285, 4667, 7508, 54260, 35465, 4, 189098, 163139, 21066, 18133, 151614, 16803, 4, 17190, 148346, 3069, 211630, 1211, 4, 22426, 12666, 51220, 364, 54260, 16803, 18225, 7746, 4838, 506, 8580, 19302, 54260, 148346, 1211, 4, 159696, 2882, 95455, 4269, 48904, 26394, 182731, 1470, 54260, 1211, 6, 183512, 53414, 6, 148346, 1644, 54260, 148346, 1211, 5, 13159, 2200, 81414, 20260, 2200, 151614, 148346, 221531, 4, 212484, 1285, 4667, 42493, 30109, 135118, 12483, 230764, 6, 179735, 1819, 7201, 23173, 2932, 21292, 42493, 2190, 112304, 34533, 6319, 54260, 1211, 46711, 53414, 4, 5666, 40096, 119055, 29060, 124724, 230764, 6, 80453, 124873, 6, 148346, 26612, 86733, 1211, 5, 119718, 15350, 126934, 124724, 81444, 72577, 6, 148346, 213783, 4, 506, 29771, 148346, 4852, 36326, 6, 31177, 83811, 230764, 123736, 25207, 24621, 657, 54260, 2882, 4, 13159, 119055, 29060, 1285, 4667, 3120, 76961, 620, 26612, 42410, 54260, 28320, 21776, 81829, 29257, 1054, 13159, 2702, 42493, 43649, 23173, 148346, 1211, 56170, 4151, 9424, 54260, 2882, 5, 119718, 15350, 126934, 10676, 123736, 25207, 212915, 67826, 64213, 165354, 8947, 124724, 4838, 119055, 94741, 710, 226812, 4, 5666, 23173, 170479, 126934, 7746, 7265, 10676, 7243, 6, 148346, 23173, 710, 51723, 4, 119718, 23173, 1211, 18133, 119055, 119273, 70845, 56170, 36326, 51723, 5, 119718, 710, 6, 238144, 2702, 18133, 6319, 172398, 2882, 4, 33718, 133190, 6, 68380, 2702, 4, 13159, 119055, 29060, 124724, 4151, 113889, 4667, 4838, 39340, 15388, 6, 104378, 4, 29257, 1054, 119273, 81444, 32206, 4151, 69355, 151614, 148346, 1211, 17824, 75230, 36419, 20632, 7611, 4, 175221, 88660, 95455, 6319, 43178, 126934, 7265, 101470, 5, 2947, 2932, 54260, 2882, 2205, 131397, 6, 23173, 54260, 1211, 711, 238144, 13497, 4, 6, 148346, 12415, 35189, 4, 19302, 29771, 13497, 711, 6, 238144, 13497, 166464, 2200, 6, 76776, 40920, 711, 119718, 120467, 3523, 120467, 37826, 230764, 194706, 215031, 6, 189069, 6235, 148346, 48775, 40377, 4, 119718, 120467, 42542, 8947, 220273, 6319, 54260, 59461, 3120, 194706, 42493, 56170, 29659, 54260, 1211, 95766, 207405, 4, 119055, 10705, 8947, 49920, 81829, 18906, 22426, 33056, 6, 61397, 91595, 4113, 4, 2648, 99766, 119055, 10705, 1285, 115374, 21923, 1470, 75230, 4667, 42493, 6319, 54260, 1211, 620, 91595, 4113, 4, 4852, 39083, 51678, 133190, 162726, 905, 34709, 17310, 36324, 13845, 4944, 13159, 74806, 12483 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]