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
[ 4, 22753, 2808, 6655, 1211, 213783, 26612, 2932, 2884, 620, 54260, 6093, 7265, 41764, 2808, 36326, 133111, 4, 6, 148222, 19302, 54260, 35189, 6655, 22753, 2808, 33960, 85465, 57277, 15622, 33809, 3131, 5666, 10339, 33809, 1211, 11265, 895, 16932, 148346, 2808, 148346, 13159, 4838, 6, 148346, 2808, 148346, 4113, 4, 22753, 2808, 6655, 6, 66313, 14081, 149311, 29257, 26612, 34076, 75230, 4113, 6093, 364, 54260, 186461, 4, 22753, 2808, 119055, 158291, 24857, 42493, 6681, 148346, 710, 146887, 230764, 3523, 14081, 94741, 33809, 5666, 41764, 119718, 7972, 84577, 8580, 4, 1285, 26612, 32054, 75230, 2808, 3056, 33960, 159696, 1211, 4838, 17824, 75230, 36419, 163139, 33716, 8580, 6, 5, 230764, 9183, 26612, 163139, 33716, 710, 71577, 2882, 5, 2205, 43649, 33809, 148346, 1470, 33809, 5666, 230764, 11265, 3523, 40697, 23741, 6655, 22753, 2808, 21106, 54260, 1211, 6, 84577, 33809, 23405, 33960, 8903, 148346, 8580, 4, 1054, 46646, 6, 74004, 6655, 33960, 119718, 158291, 6655, 123822, 23829, 42493, 17537, 4, 4113, 137218, 4231, 40096, 6319, 75230, 1211, 16742, 42493, 6681, 170098, 8580, 230764, 129165, 2865, 20315, 364, 104274, 4, 1470, 33809, 5666, 6655, 22426, 119718, 26612, 6319, 54260, 29060, 42493, 33960, 22680, 64567, 2882, 4838, 140746, 163139, 2808, 1470, 33809, 5666, 1054, 46646, 22753, 2808, 47567, 6, 207682, 6, 5, 4113, 137218, 4231, 40096, 8248, 31467, 4667, 186046, 7511, 13497, 4838, 17824, 75230, 149311, 163139, 4944, 9719, 8903, 1211, 3523, 165050, 4, 2205, 44917, 69106, 191069, 710, 40096, 18225, 4838, 33809, 2442, 6, 59461, 33809, 156325, 137, 148222, 4838, 22663, 364, 98071, 1644, 155, 6, 148222, 32054, 75230, 2808, 2205, 24012, 159696, 1211, 165592, 13845, 2882, 65482, 32054, 33809, 24621, 1470, 33809, 5666, 6655, 55242, 46244, 6, 148346, 710, 13845, 6235, 207682, 6681, 6, 29766, 63593, 13845, 54260, 2882, 4, 905, 54260, 4838, 47351, 6235, 159696, 1211, 4838, 4269, 148346, 14004, 124470, 4113, 2205, 84087, 75619, 1470, 33809, 5666, 119055, 6093, 8947, 6655, 26612, 905, 26612, 6235, 22426, 62067, 6655, 11265, 6235, 506, 13845, 96986, 163139, 2808, 6, 48904, 26, 29771, 12984, 61842, 6, 5, 11265, 6, 133111, 26612, 47351, 895, 4231, 119718, 1211, 33960, 39293, 149311, 2205, 19302, 75230, 4852, 7369, 6655, 6319, 54260, 1211, 4838, 83182, 85858, 33960, 192061, 3111, 31467, 1211, 6, 147713, 8903, 1211, 4838, 33809, 5666, 6, 148222, 6, 148346, 2442, 75230, 2808, 6655, 70845, 874, 196353, 6235, 159696, 1211, 4, 22753, 2808, 6655, 22426, 26612, 17645, 41595, 17190, 148346, 172398, 144754, 13845, 10339, 33809, 1211, 11265, 4113, 364, 75230, 4852, 149010, 6, 207591, 73381, 146887, 4, 6, 148346, 54260, 2808, 112389, 57277, 4852, 5332, 137218, 123736, 26632, 9424, 75230, 2882, 24012, 192061, 10339, 147713, 2882, 9934, 98071, 2808, 3523, 54260, 1211, 6, 23173, 33809, 2050, 19302, 75230, 4852, 6319, 33809, 38249, 2205, 54260, 26612, 41764, 76632, 16932, 6, 4, 22753, 2808, 6655, 174246, 6, 149364, 81371, 2932, 8580, 3069, 31467, 39293, 42023, 163139, 2808, 4151, 22426, 47351, 4838, 137218, 8248, 31467, 22426, 874, 22426, 1644, 22426, 1644, 7265, 221895, 19302, 75230, 4852, 29171, 13159, 2205, 212632, 4, 6, 59461, 22426, 47351, 41764, 17645, 98833, 6319, 33809, 96986, 3069, 506, 75230, 4852, 123736, 148346, 13159, 12483, 1470, 33809, 5666, 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 ]
[ 148346, 14081, 2648, 3069, 31467, 2442, 7682, 4838, 159696, 4484, 2932, 54260, 1211, 2205, 15907, 75230, 26612, 710, 120202, 2882, 122165, 10339, 147713, 2882, 7369, 140108, 8580, 22753, 10918, 1211, 4838, 2932, 112711, 26394, 112389, 2882, 1470, 33809, 5666, 44478, 49008, 4, 132, 2865, 95957, 6293, 16, 4151, 2451, 201, 35189, 115825, 13805, 17537, 6655, 33960, 192061, 6, 26394, 54260, 2808, 114955, 6, 4, 4838, 8248, 31467, 1211, 7265, 4838, 57277, 194734, 26612, 895, 54260, 148346, 109316, 1470, 33809, 5666, 657, 17645, 148346, 109316, 6, 5, 220224, 2808, 24012, 49008, 6, 148346, 54260, 20315, 6235, 159696, 1211, 1751, 75230, 1211, 4838, 33809, 5666, 19302, 33809, 76776, 148222, 6, 97634, 4944, 16932, 6655, 23050, 506, 14081, 55823, 1211, 6, 148222, 874, 33809, 16932, 7265, 23173, 148346, 54260, 96986, 2205, 6, 54260, 26612, 119718, 54196, 3131, 145702, 4, 60980, 211169, 6, 148346, 34882, 8580, 1470, 33809, 5666, 24857, 115825, 1982, 12483, 4, 36324, 22753, 26612, 26612, 4231, 26632, 6, 148346, 54260, 2882, 8903, 192061, 6655, 9934, 98071, 2808, 6235, 44478, 13497, 3523, 54260, 12483, 4, 167048, 7682, 12483, 1470, 33809, 5666, 4838, 113889, 4113, 8903, 6, 15350, 208048, 26612, 159696, 1644, 107581, 6235, 506, 53414, 3069, 31467, 4838, 163139, 33716, 506, 8580, 5, 6, 148222, 874, 33809, 16932, 10339, 147713, 2882, 4231, 75230, 22426, 4838, 137218, 26612, 506, 70375, 506, 6235, 148346, 8580, 22753, 2808, 47567, 19024, 119718, 49008, 6, 5, 7746, 119055, 76526, 12483, 3069, 31467, 2050, 8947, 12483, 5332, 6, 54260, 54260, 1211, 2808, 88945, 38596, 54260, 2882, 163139, 2808, 8947, 6235, 506, 6093, 3069, 31467, 2808, 4838, 77775, 97483, 1982, 16932, 905, 15750, 26612, 10339, 147713, 96256, 5594, 2442, 11211, 96986, 163139, 2808, 6, 48904, 26, 2808, 75230, 5666, 2205, 60980, 22426, 6293, 4, 42493, 1157, 104149, 4269, 54260, 1211, 145813, 71577, 137218, 8580, 6, 76776, 8903, 99611, 12483, 10676, 32054, 54260, 12483, 657, 33809, 23741, 153, 22753, 2808, 6655, 11265, 6681, 2648, 23173, 109636, 1211, 6, 17645, 158652, 20961, 149364, 123736, 148346, 8903, 3131, 33104, 115536, 11265, 4113, 70695, 23741, 12483, 4, 10339, 33809, 1211, 84087, 22753, 26394, 1211, 4838, 2884, 43649, 33809, 22426, 2808, 33809, 5666, 220224, 1211, 41764, 43590, 20961, 58032, 29060, 169532, 1470, 33809, 5666, 112389, 2882, 163139, 2808, 6, 48904, 26, 137377, 2702, 2205, 4838, 39340, 26612, 100495, 506, 25207, 6, 148346, 6093, 62067, 4113, 39484, 31467, 12483, 230764, 9213, 46244, 6235, 506, 40096, 9721, 53896, 31467, 2442, 5332, 6, 76776, 26612, 5332, 137218, 21106, 54260, 1211, 6655, 141107, 42493, 6681, 3131, 57277, 49008, 6, 75230, 2808, 620, 91595, 11265, 4838, 54260, 905, 6, 54260, 26612, 4231, 26632, 8903, 21847, 75230, 148346, 2882, 6, 148222, 874, 33809, 16932, 119055, 46646, 10339, 147713, 2882, 11265, 220771, 12483, 76961, 107189, 4231, 40096, 4838, 2808, 88945, 4, 4113, 32887, 4944, 16932, 147062, 220224, 1211, 4838, 9424, 3111, 31467, 20616, 4, 42493, 132025, 4484, 33809, 165354, 6, 54260, 26612, 41764, 5666, 54260, 4113, 22492, 25207, 36326, 49027, 2882, 153, 1982, 5, 26612, 6, 148346, 37016, 6093, 8580, 46855, 6, 5, 1644, 54260, 148346, 109316, 6655, 6235, 44478, 13497, 2205, 6, 148346, 2754, 71070, 125810, 6, 4, 7369, 4231, 40096, 3523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40096, 26612, 148346, 13159, 53414, 168677, 163139, 2808, 220224, 1211, 1751, 159696, 82576, 7369, 3056, 42493, 74806, 22426, 26612, 8903, 1211, 4838, 33809, 22426, 18415, 93704, 46598, 1751, 85549, 10339, 33809, 1211, 220224, 1211, 874, 33809, 16932, 4, 7369, 10339, 147713, 2882, 6235, 99611, 12483, 18133, 26612, 6, 9221, 75230, 4113, 657, 33809, 22426, 2882, 8903, 3149, 43178, 2442, 24295, 10339, 33809, 1211, 3069, 31467, 506, 75230, 4852, 2205, 19302, 75230, 4852, 44458, 10339, 33809, 1211, 19302, 75230, 4852, 2451, 22492, 148346, 364, 119718, 26612, 710, 4838, 98833, 2205, 21733, 75230, 4852, 6655, 7369, 174246, 6, 147185, 4151, 10339, 64260, 6093, 220224, 61397, 4231, 40096, 4838, 75230, 26612, 4838, 15907, 8300, 33809, 7916, 13845, 10372, 67054, 506, 6235, 8903, 148346, 12483, 6, 5, 7369, 6655, 6, 59919, 143409, 2882, 10339, 33809, 1211, 4838, 137218, 4231, 40096, 6, 12483, 4852, 14081, 46654, 54260, 2702, 18640, 212632, 4, 657, 17645, 148346, 109316, 6655, 24012, 192061, 6, 48904, 33809, 146887, 60980, 109636, 1211, 4838, 4113, 26612, 2932, 22426, 8580, 132, 2865, 95957, 6293, 16, 7213, 1644, 2451, 190, 292, 3131, 10813, 4, 54745, 1211, 41764, 2808, 16932, 6655, 23050, 506, 145702, 24857, 7369, 1054, 29060, 7265, 4151, 9424, 54260, 2882, 25603, 26612, 8580, 4838, 207650, 4151, 32899, 16932, 6655, 10339, 33809, 1211, 70845, 10184, 13845, 6, 173967, 174246, 4, 1470, 33809, 5666, 17824, 75230, 22426, 22426, 3111, 42023, 6, 12483, 37826, 6235, 4484, 119718, 14081, 12483, 3069, 31467, 55242, 42023, 163139, 2808, 21422, 1211, 8248, 31467, 1211, 3056, 23050, 33353, 12483, 4838, 2932, 33809, 96986, 5332, 109636, 1644, 2451, 6319, 33809, 45629, 155, 657, 17645, 148346, 109316, 3056, 6, 148346, 137127, 6235, 4113, 12483, 55242, 46244, 4838, 33960, 1982, 26632, 114436, 16580, 142170, 64769, 192061, 6235, 4484, 62067, 1751, 121658, 6, 148346, 170098, 8580, 4, 7369, 6655, 6, 59919, 29659, 226976, 1470, 33809, 13497, 89184, 75230, 49008, 220224, 1211, 44917, 2702, 12483, 163139, 2808, 7265, 6235, 13982, 33809, 146873, 6, 148346, 33809, 95957, 96256, 148346, 29789, 4, 4151, 8300, 33809, 6655, 12483, 6235, 46985, 98833, 3523, 33809, 2882, 1751, 119718, 710, 51723, 6, 4, 123736, 148346, 6093, 119055, 46646, 3523, 33809, 2882, 364, 54260, 16803, 7265, 76961, 4484, 33809, 7511, 12483, 905, 54745, 1211, 41764, 2808, 16932, 6655, 6235, 104149, 36324, 10339, 33809, 1211, 6, 54260, 1211, 710, 8248, 31467, 1211, 119055, 29060, 119055, 6093, 12483, 26612, 25222, 905, 33809, 36419, 5332, 26612, 148346, 4, 6, 148222, 5332, 13845, 2882, 119055, 29060, 7265, 70845, 65902, 183216, 4, 76961, 119055, 109316, 1211, 22753, 105515, 4838, 15907, 6, 148346, 35596, 3131, 12483, 6, 5, 76961, 119055, 109316, 1211, 151614, 148346, 12483, 10339, 33809, 1211, 70845, 6, 173967, 6, 5, 4151, 22426, 2808, 109636, 1211, 6, 21106, 54260, 1211, 6655, 4838, 46590, 33809, 123736, 23741, 122165, 42493, 36324, 13845, 107581, 17824, 75230, 36419, 6, 5927, 609, 10339, 33809, 1211, 26612, 33809, 2882, 6235, 506, 15907, 3523, 77985, 12, 163139, 2808, 4151, 32899, 16932, 6655, 7746, 3523, 33809, 2442, 123736, 171665, 23269, 75290, 18415, 26632, 1751, 75230, 1211, 657, 17645, 148346, 109316, 42493, 6235, 44478, 13497, 6, 5, 7369, 6655, 7746, 74806, 17410, 8903, 1211, 7265, 54260, 26612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19302, 75230, 5666, 29171, 13159, 6, 5, 3523, 33809, 2442, 16175, 54260, 1644, 4151, 32899, 16932, 6655, 70845, 6235, 506, 14081, 96986, 3131, 57277, 2932, 4484, 2205, 4151, 874, 151461, 4, 10339, 147713, 2882, 657, 17645, 148346, 109316, 7746, 11211, 96986, 1470, 33809, 5666, 36324, 13845, 107581, 54260, 65482, 2882, 10339, 147713, 12483, 55242, 1644, 96986, 46711, 73381, 12483, 4, 1470, 33809, 5666, 4151, 32899, 16932, 10339, 147713, 2882, 148932, 200651, 6235, 36909, 710, 49008, 36324, 2702, 33809, 609, 6, 4, 7369, 6655, 150764, 7243, 56537, 7369, 3056, 49481, 26612, 192544, 6, 12483, 119055, 29060, 5950, 16932, 119055, 6093, 12483, 119055, 29060, 7369, 220224, 1211, 4838, 17824, 75230, 101608, 25093, 4, 1470, 33809, 23269, 46646, 123736, 26632, 7369, 4838, 54260, 23405, 6093, 29060, 6, 148222, 874, 33809, 16932, 1470, 75230, 4667, 4, 4231, 65482, 10339, 147713, 2882, 17806, 109316, 1211, 17645, 2932, 65482, 24295, 3944, 2808, 48277, 850, 31467, 10339, 33809, 1211, 11265, 6, 148346, 1211, 6, 5594, 15435, 657, 4, 22753, 2808, 6655, 6235, 85465, 25207, 159696, 18415, 26612, 26612, 5332, 54260, 2808, 7265, 76961, 9213, 107581, 42005, 145702, 12483, 4, 1470, 33809, 5666, 22753, 2808, 10339, 147713, 2882, 220771, 12483, 3069, 31467, 6, 148222, 96256, 22426, 18415, 710, 55242, 506, 4231, 874, 54260, 1211, 8248, 31467, 1211, 119055, 29060, 220224, 1211, 4838, 68697, 4, 1470, 8300, 6293, 119055, 46646, 16175, 75230, 2932, 16803, 6428, 33809, 2808, 705, 26612, 710, 22426, 119055, 13845, 6, 54260, 1211, 6, 23173, 148346, 10918, 1211, 2451, 192061, 6, 148222, 97483, 4944, 16932, 6235, 35596, 59919, 2882, 292, 137377, 4113, 26612, 6, 63188, 4838, 194734, 101503, 6655, 11265, 141107, 42493, 6235, 506, 14081, 55823, 1211, 4, 6, 148222, 874, 33809, 16932, 710, 40096, 2205, 1470, 33809, 13497, 6093, 13982, 93449, 3069, 31467, 6, 23173, 148346, 54260, 146887, 97483, 5666, 1470, 33809, 5666, 112389, 2882, 6, 5, 95766, 4231, 114436, 9424, 54260, 2882, 3056, 6235, 119718, 20961, 12483, 3523, 54260, 2702, 2205, 43649, 69859, 2882, 6428, 33809, 45629, 112452, 4, 29060, 4838, 71577, 12483, 7746, 6235, 7201, 33809, 49008, 4231, 33809, 5666, 8903, 6, 69181, 1054, 46646, 151614, 148346, 12483, 132025, 8903, 27720, 183216, 3069, 31467, 2808, 4113, 26612, 8903, 1211, 36324, 4838, 12483, 6, 148346, 2442, 75230, 4667, 8248, 31467, 4667, 6, 148346, 145161, 12483, 4, 17190, 148346, 8903, 1211, 145813, 22492, 107581, 4, 1470, 33809, 5666, 6, 29259, 23829, 39484, 31467, 8580, 132, 2865, 95957, 6293, 16, 67826, 44478, 506, 54260, 2882, 2451, 305, 292, 29659, 15350, 150839, 54260, 2882, 6235, 207682, 6, 148222, 6, 74004, 107581, 6, 4, 220224, 2808, 151614, 148346, 12483, 3523, 71577, 16175, 33809, 29789, 6235, 710, 40096, 23173, 75230, 2702, 8300, 33809, 2932, 54260, 1211, 123736, 27720, 13497, 32792, 4, 6, 148222, 43649, 69859, 2882, 2451, 1644, 54260, 2882, 119055, 14081, 96986, 6, 54260, 26612, 905, 23050, 26612, 26612, 33809, 22426, 64044, 29659, 54260, 13497, 1054, 54260, 1644, 6, 148222, 43649, 69859, 2882, 657, 54260, 2882, 39484, 31467, 12483, 23050, 17645, 22426, 2882, 55242, 26612, 4113, 26612, 101503, 69859, 34882, 114650, 4, 220224, 2808, 39484, 31467, 8580, 220224, 123073, 114955, 7369, 8300, 75230, 2932, 2884, 16175, 33809, 2882, 10339, 33809 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13845, 6, 137218, 26612, 905, 36326, 22680, 33809, 74813, 54260, 2882, 4, 6, 148222, 220771, 4113, 10339, 33809, 1211, 6, 148346, 145161, 33809, 23405, 6655, 49481, 6, 148346, 54260, 2808, 9934, 75230, 2808, 42493, 23050, 3131, 33809, 54260, 22426, 6, 48350, 54260, 123073, 1470, 75230, 8903, 1211, 3056, 49481, 5, 6235, 159696, 1211, 6681, 2648, 87442, 874, 33809, 2882, 4231, 29060, 6, 54260, 4113, 22426, 710, 12483, 119718, 14081, 165354, 1054, 46646, 6319, 40920, 905, 10339, 33809, 1211, 6428, 33809, 2865, 111506, 4, 119055, 46646, 6, 148346, 145161, 33809, 23405, 6, 148346, 4113, 22426, 75230, 18415, 2882, 1470, 167351, 22426, 8580, 4852, 54260, 2808, 51328, 42493, 6235, 119718, 10705, 16803, 4, 220224, 2808, 220224, 49008, 6235, 147713, 12483, 6, 238144, 2200, 4838, 5332, 92605, 4113, 6, 54260, 57277, 122165, 3056, 2205, 43649, 69859, 2882, 6235, 119718, 20961, 12483, 6, 48904, 54260, 2702, 4, 2181, 3056, 6, 94741, 64260, 6235, 22426, 33809, 710, 12483, 710, 33809, 2648, 152185, 19024, 4484, 16932, 4, 220224, 1211, 44917, 51723, 3056, 6235, 159696, 1211, 137, 2442, 91595, 4838, 47351, 1211, 4113, 54745, 93704, 34882, 16932, 119055, 20961, 4838, 23847, 75230, 101608, 4231, 33809, 20315, 5666, 22680, 54260, 16747, 4, 4151, 8300, 33809, 49920, 16803, 6235, 148346, 69336, 29060, 47709, 75230, 101608, 6, 54260, 23269, 115222, 194734, 99611, 2205, 19024, 20911, 69596, 4113, 4, 5, 163139, 1644, 49920, 6655, 4852, 54260, 1211, 182990, 1211, 17190, 148346, 12483, 6235, 137377, 59919, 2882, 6681, 6, 148222, 6, 148346, 145161, 33809, 23405, 4, 1470, 33809, 1211, 4231, 65482, 26612, 54260, 22426, 33809, 1211, 148346, 4113, 64044, 4838, 4231, 33809, 2648, 10339, 147713, 2882, 6319, 33809, 51723, 3069, 31467, 4838, 43649, 33809, 109636, 15, 2865, 212479, 16, 5332, 129071, 4113, 26612, 4113, 4838, 7201, 147713, 2882, 7369, 6235, 3111, 31467, 2932, 6, 147185, 1470, 75230, 51437, 14081, 96986, 4, 4151, 19024, 4484, 16932, 7508, 35596, 22426, 8580, 4231, 40096, 8903, 39340, 2865, 22426, 23741, 15, 8903, 3131, 65848, 146887, 16, 6235, 129891, 6, 148222, 153850, 8580, 10339, 33809, 1211, 97995, 119718, 2702, 12483, 43649, 33809, 26612, 111179, 33809, 129891, 98071, 2050, 15, 17017, 3149, 18630, 9560, 98071, 2050, 16, 1470, 33809, 5666, 3056, 4838, 12415, 148346, 6093, 8903, 3131, 119718, 2808, 33809, 51723, 10676, 119055, 40697, 7511, 12483, 29659, 23173, 165354, 167048, 34322, 4, 7369, 3056, 6235, 33353, 12483, 19024, 4484, 16932, 2205, 6428, 33809, 76776, 112452, 905, 4838, 33809, 5927, 26632, 220224, 6093, 4269, 33809, 2882, 45521, 112956, 12483, 163139, 2808, 3069, 31467, 6, 148346, 20616, 2808, 47526, 12483, 18133, 26612, 43649, 2808, 29060, 657, 54260, 17645, 35189, 14856, 110970, 6655, 7746, 140108, 6235, 4484, 75230, 23741, 4838, 37460, 19767, 4, 15, 26612, 4269, 33809, 96986, 113524, 75230, 2702, 33809, 1211, 22492, 51723, 7369, 6655, 10184, 13845, 14856, 110970, 12483, 6, 61397, 29060, 29060, 110573, 107182, 10339, 33809, 1211, 16175, 75230, 18415, 6, 12483, 7201, 147713, 2882, 6, 207682, 17824, 75230, 36419, 181524, 6, 148222, 6, 29766, 63593, 13845, 54260, 2882, 4, 6681, 9934, 119718, 26612, 9915, 54260, 109636, 1211, 2442, 21660, 22426, 96986, 1470, 33809, 112304, 123844, 2882, 4, 5, 1470, 33809, 5666, 15864, 5666, 107581, 6, 92341, 167622, 4113 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 148346, 8580, 7508, 7201, 33809, 63864, 5332, 51723, 905, 22426, 33809, 1211, 26612, 68558, 6235, 50853, 4, 7369, 6655, 177274, 1211, 14856, 110970, 8580, 6235, 506, 39083, 55823, 1211, 119055, 33809, 22426, 15350, 6, 12483, 4231, 26632, 25603, 26612, 93975, 62067, 4, 6, 75290, 149364, 32792, 1470, 33809, 5666, 4269, 54260, 16803, 32792, 6, 4, 75903, 51723, 7265, 220224, 23269, 163139, 5666, 54260, 12483, 5332, 159696, 51723, 6235, 148346, 12483, 4151, 8300, 33809, 6235, 50853, 4, 6, 159696, 51723, 7265, 4269, 33809, 18415, 6, 120749, 93975, 5332, 26612, 905, 109636, 41764, 15350, 148346, 37016, 62067, 4113, 6655, 7369, 1470, 75230, 111137, 2865, 33809, 13497, 77188, 10339, 33809, 1211, 13804, 6293, 6, 4, 5332, 54260, 26612, 6235, 26612, 710, 109636, 1211, 6, 47351, 148222, 6, 74004, 23269, 9174, 26632, 1751, 75230, 1211, 132025, 8903, 22426, 2808, 183216, 3069, 31467, 1751, 54260, 49008, 4, 18225, 6, 137218, 26612, 26612, 5332, 33809, 26612, 42493, 64044, 105235, 1644, 12483, 6, 148222, 1470, 75230, 8903, 1211, 7265, 10676, 29566, 96986, 10339, 33809, 1211, 6, 54260, 12483, 1644, 12483, 1211, 6, 54260, 4113, 26612, 132, 2865, 95957, 6293, 16, 4838, 12483, 1644, 292, 7511, 2882, 56170, 3149, 54260, 183216, 6, 148222, 41764, 43178, 82576, 42572, 33809, 1211, 710, 49008, 6, 148222, 9934, 226976, 84087, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 85465, 148346, 12483, 7746, 7369, 159696, 20911, 10339, 33809, 1211, 86510, 12483, 905, 12483, 6, 68558, 10676, 34076, 7682, 149010, 1211, 19024, 146873, 29025, 33809, 2808, 1751, 54260, 49008, 6, 148222, 6, 74004, 23269, 7265, 4838, 43649, 7511, 2882, 6681, 76961, 51723, 6, 4, 10184, 13845, 39484, 31467, 6093, 42493, 6235, 119718, 2808, 33809, 16803, 36324, 220224, 123073, 114955, 1211, 6, 4, 84475, 36324, 20033, 49027, 12483, 95455, 4838, 4113, 119718, 2808, 33809, 16803, 36324, 220224, 123073, 114955, 24012, 49008, 29659, 2442, 21106, 12483, 4151, 6, 74004, 23269, 4, 54745, 1211, 6, 148222, 6, 148346, 905, 6093, 8947, 3056, 6235, 238144, 13497, 7265, 6, 148222, 6, 74004, 23269, 29060, 42493, 119055, 12483, 6, 148222, 6, 74004, 23269, 47567, 1751, 54260, 23269, 20260, 80885, 364, 45631, 1470, 33809, 5666, 6, 33353, 55823, 1211, 220771, 20961, 6093, 4231, 76632, 61397, 199145, 22753, 56169, 9213, 46685, 2205, 6428, 33809, 4852, 20961, 39340, 1751, 54260, 3111, 31467, 23405, 6, 4, 6, 148222, 6, 148346, 145161, 33809, 23405, 3056, 37016, 62067, 7265, 6, 148222, 6235, 148346, 15350, 20315, 18415, 119055, 46646, 2808, 33809, 5666, 7265, 6, 148222, 6235, 148346, 15350, 20315, 18415, 119055, 46646, 8300, 75230, 129891, 2205, 29434, 4113, 17017, 33809, 23405, 4, 1470, 33809, 5666, 7265, 1470, 54260, 1211, 13159, 60980, 1211, 6, 148222, 9424, 238144, 26612, 41764, 101503, 54260, 12483, 4, 1470, 33809, 5666, 119055, 29060, 9934, 69596, 1211, 36324, 20033, 39484, 31467, 8580, 6, 68959, 54260, 2882, 910, 292, 37271, 10918, 2882, 42493, 6, 74004, 84087, 6, 148346, 4113, 48340, 2882, 6, 4, 13278, 2050, 1470, 54260, 6093, 16175, 115536, 12483, 5332, 4838, 137218, 145813, 54260, 710, 58679, 20260, 123736, 148346, 6093, 8947, 3056, 178748, 32792, 11265, 3069, 31467, 506, 13845, 22426, 8580, 6428, 33809, 5666, 22426, 41764, 15350, 16175, 54260, 5332, 6, 29060, 2865, 33809, 4852 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26632, 9221, 32792, 4838, 6, 143409, 4113, 9424, 54260, 2882, 6428, 75230, 53414, 1054, 54260, 1644, 22753, 2808, 4838, 54260, 6, 77820, 4113, 26612, 7213, 71577, 5332, 185758, 6, 75290, 149364, 3056, 3069, 31467, 46590, 45521, 70598, 26632, 77188, 10339, 33809, 1211, 84087, 4838, 26612, 148346, 710, 146887, 905, 6, 54260, 26612, 16175, 33809, 1211, 2442, 33809, 506, 4113, 39484, 31467, 8580, 6681, 1644, 54260, 105780, 874, 33809, 4852, 18225, 11265, 6235, 148346, 8580, 6, 104985, 3069, 31467, 22426, 145813, 26612, 26612, 710, 12483, 26612, 7369, 91595, 133111, 6655, 42493, 6, 207591, 22426, 101503, 21422, 1211, 46711, 32184, 1470, 33809, 1211, 4838, 8580, 6, 17645, 26612, 12483, 6, 137218, 2932, 2932, 7682, 33809, 56052, 3069, 31467, 34076, 7682, 2865, 226976, 3069, 31467, 2050, 6, 148346, 48350, 33809, 4667, 4, 7369, 6655, 84087, 6319, 8903, 22426, 146887, 132025, 2932, 54260, 905, 76632, 29060, 8300, 33809, 9356, 18415, 4113, 12483, 6, 148222, 1751, 54260, 23269, 874, 16870, 211169, 4, 1470, 33809, 5666, 6655, 6319, 54260, 1211, 6235, 67873, 6, 54260, 3111, 31467, 56052, 6, 137218, 15533, 54260, 1211, 46711, 32184, 4, 163139, 46590, 73256, 6655, 3523, 105330, 133111, 6235, 148346, 29060, 12483, 70845, 4231, 26632, 6, 12483, 5332, 21106, 49008, 1211, 6235, 50853, 6, 148346, 13845, 43590, 3111, 31467, 23405, 6681, 220224, 1211, 6, 117404, 4113, 6, 4, 123736, 148346, 6093, 75903, 171665, 2882, 57277, 1211, 4231, 40096, 8903, 35596, 59919, 2882, 152, 36324, 22426, 168892, 119055, 13845, 55242, 42023, 24857, 874, 54260, 1211, 7544, 46244, 3056, 42493, 4838, 33809, 15533, 48904, 15907, 16870, 46646, 364, 54260, 16803, 36324, 24857, 21374, 50856, 119055, 29060, 119055, 6093, 12483, 6235, 4852, 33809, 16747, 4, 54745, 16667, 22426, 137218, 710, 119055, 29060, 2648, 46646, 21422, 1211, 874, 54260, 1211, 6, 148346, 13845, 43590, 3111, 31467, 23405, 4, 3523, 105330, 133111, 7265, 6, 54260, 1211, 41764, 119718, 137218, 4231, 71577, 12483, 22753, 22426, 29659, 2808, 24152, 6235, 119718, 2808, 33809, 83182, 2882, 230764, 10676, 4838, 150037, 101503, 1470, 33809, 5666, 39484, 31467, 12483, 42493, 23050, 119718, 26612, 33809, 54260, 144754, 119055, 46646, 10676, 19024, 4484, 16932, 3069, 31467, 148346, 21660, 43590, 1644, 12483, 4, 4151, 5332, 26612, 710, 18415, 26612, 4838, 8580, 6, 54260, 710, 165592, 54260, 2808, 23050, 119718, 20961, 12483, 220224, 6093, 1751, 57277, 24152, 6235, 26612, 40920, 29060, 1470, 33809, 5666, 6235, 36326, 148346, 18415, 6, 54260, 26612, 4231, 71577, 12483, 2808, 30682, 23050, 506, 14081, 96986, 6681, 4838, 41545, 24001, 4667, 6, 72107, 17645, 6, 5, 148222, 182990, 9424, 54260, 2882, 119055, 46646, 4151, 19024, 4484, 16932, 364, 15907, 6, 17645, 22426, 48904, 8903, 21295, 6, 54260, 92605, 1982, 167622, 4113, 874, 16870, 4944, 12483, 1470, 33809, 5666, 9213, 46244, 6, 148346, 48350, 33809, 40920, 4, 6655, 6, 100863, 93449, 47351, 7265, 6, 54260, 1211, 4838, 42023, 8903, 2865, 33809, 16803, 874, 206014, 220224, 1211, 10339, 33809, 1211, 220224, 6093, 212632, 1470, 33809, 5666, 22753, 26394, 1211, 3069, 31467, 1211, 364, 75230, 26612, 710, 6, 54260, 710, 4231, 33809, 26612, 2808, 33809, 13497, 150839, 14081, 96986, 7746, 7265, 10676, 19024, 4484, 16932, 6, 5, 2442, 91595, 207682, 23292, 20961, 220224, 6093, 3523, 33809 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6235, 148346, 145161, 29060, 2205, 4231, 33809, 207591, 12483, 153850, 24295, 54260, 1211, 905, 6093, 6655, 6235, 4484, 62067, 6, 148222, 4231, 33809, 2648, 40697, 74806, 710, 4944, 18415, 4, 1470, 33809, 5666, 119055, 23173, 220224, 12483, 4269, 33809, 2882, 4231, 29789, 84577, 144754, 6, 148222, 4231, 33809, 2648, 40697, 3944, 18415, 1982, 26632, 33809, 2442, 4, 3373, 99402, 7369, 37826, 95455, 1751, 75230, 1211, 10339, 33809, 1211, 4838, 4113, 48904, 2932, 21660, 54260, 2882, 42493, 6235, 44478, 13497, 6, 54260, 33809, 10069, 3131, 51328, 7369, 6655, 24857, 44917, 22426, 3523, 32829, 3523, 33809, 2882, 6235, 22426, 54260, 185226, 5332, 6093, 10339, 147713, 2882, 7746, 84087, 1470, 33809, 13497, 150839, 14081, 96986, 7265, 10676, 3523, 105330, 146887, 2205, 212632, 5332, 3149, 26632, 7746, 24857, 51328, 42493, 6681, 190135, 36324, 4838, 4113, 129071, 4113, 26612, 5332, 21106, 165592, 75230, 2808, 84087, 163139, 2702, 12483, 41764, 33809, 1211, 4231, 33809, 10069, 38596, 54260, 2882, 6, 141353, 33809, 2050, 6655, 6, 12483, 6, 17645, 54260, 1211, 6, 54260, 2882, 4838, 8580, 22426, 2808, 124470, 148346, 22426, 2808, 4944, 244640, 2882, 43649, 33809, 16747, 12483, 1157, 5666, 5666, 4, 21776, 7511, 207682, 123736, 26632, 4838, 15907, 6, 54260, 710, 5332, 26612, 710, 12483, 132, 710, 95957, 6293, 16, 5332, 92605, 28726, 710, 29060, 2451, 483, 292, 26612, 26612, 2932, 25222, 18415, 36324, 3523, 105330, 133111, 6655, 4852, 54260, 23269, 1470, 75230, 8903, 1211, 6235, 73381, 35596, 1470, 33809, 5666, 6, 148346, 4113, 119718, 2808, 33809, 83182, 2882, 17645, 19302, 33809, 8903, 7508, 54260, 2648, 6, 5, 144754, 4151, 9424, 54260, 2882, 36324, 6, 148346, 54260, 20315, 151614, 148346, 12483, 7746, 4269, 33809, 2882, 6, 148346, 92605, 35596, 6, 4, 6655, 17645, 22426, 2882, 22426, 17537, 132025, 8903, 22426, 2808, 183216, 3069, 31467, 220771, 48350, 874, 33809, 49268, 10676, 32899, 16932, 7265, 220224, 1211, 8248, 31467, 1211, 148346, 33809, 22492, 51723, 4, 7369, 6655, 1470, 30682, 7369, 21733, 77188, 36324, 4151, 1751, 33809, 50853, 10339, 33809, 1211, 4838, 32899, 16932, 26612, 8580, 3069, 31467, 22426, 33809, 50853, 12483, 220224, 1211, 8248, 31467, 1211, 4, 70845, 1157, 104149, 212632, 163139, 36419, 191538, 23741, 4, 7369, 6655, 8903, 119718, 710, 104149, 7265, 1751, 54260, 23269, 6, 90848, 5047, 36324, 7265, 24857, 212632, 2205, 19302, 54260, 39293, 1644, 21106, 54260, 1211, 4113, 6, 112452, 18225, 42493, 17190, 148346, 12483, 230764, 4151, 6, 159696, 21295, 4, 4838, 24621, 110970, 874, 33809, 4852, 163139, 2702, 12483, 54260, 8580, 6, 111506, 13159, 3131, 80453, 2808, 107581, 1470, 33809, 5666, 7369, 6655, 220224, 2808, 7369, 21733, 77188, 1470, 33809, 5666, 6235, 119718, 710, 104149, 5666, 54260, 905, 26612, 41764, 33809, 1211, 6, 91740, 2808, 36324, 6, 148222, 6, 124470, 113889, 448, 6, 21106, 54260, 1211, 39484, 31467, 12483, 1470, 75230, 4667, 6235, 4484, 62067, 3131, 22426, 2932, 14004, 12483, 1470, 33809, 2442, 220224, 2808, 220224, 49008, 6235, 159696, 1211, 6235, 148346, 145161, 29060, 2205, 10184, 13845, 221895, 232187, 119718, 905, 1470, 33809, 1211, 7369, 6655, 220224, 2808, 6, 148346, 4113, 119718, 710, 104149, 36324, 6428, 33809, 81455, 221895, 9174, 97728, 4, 60980, 1211, 8903, 1211, 2205, 41764, 710, 13845, 7369, 16932, 10339, 33809 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 91740, 2808, 6, 148346, 13159, 6093, 6681, 29659, 54260, 1211, 1054, 46646, 6, 148222, 42976, 92178, 137218, 148346, 12483, 150764, 1470, 33809, 5666, 6235, 2865, 54260, 13497, 6, 4, 7369, 6655, 220224, 2808, 1470, 75230, 4667, 6235, 119718, 710, 104149, 36324, 1285, 14004, 33809, 710, 12483, 6, 17645, 22426, 96986, 4113, 54260, 1211, 70845, 5, 43649, 104274, 4113, 3069, 31467, 9213, 148346, 6093, 39293, 26394, 1211, 6, 148222, 19302, 33809, 23269, 28726, 26612, 29771, 4113, 1054, 46646, 1470, 33809, 54561, 123073, 6, 225399, 39484, 31467, 12483, 1470, 33809, 54561, 6235, 44478, 13497, 37640, 221895, 4113, 2808, 54260, 26612, 8903, 5332, 119055, 14081, 96986, 220224, 2808, 1470, 54561, 42493, 45521, 29025, 40920, 12483, 4, 1470, 33809, 5666, 220224, 2808, 119055, 14081, 96986, 7511, 2882, 6, 137218, 8903, 1211, 36324, 4151, 4231, 33809, 2648, 152185, 6, 124470, 1644, 9719, 2648, 16175, 75230, 2932, 51328, 230764, 10676, 10339, 54260, 6093, 3069, 31467, 2808, 54260, 93975, 26612, 905, 6255, 60980, 1211, 124724, 220771, 12483, 24857, 6428, 33809, 2808, 6, 148346, 171127, 64890, 4667, 4838, 21733, 75230, 98071, 29171, 4, 26612, 33809, 26612, 6, 238144, 22426, 2882, 42493, 119055, 46646, 4838, 68550, 1470, 54260, 123073, 6, 148346, 12415, 35189, 119055, 77188, 6, 61397, 29060, 4, 1751, 104274, 43178, 33809, 4231, 29789, 12483, 1470, 5, 5666, 3069, 31467, 17190, 104149, 4, 6428, 33809, 2808, 6, 5, 710, 71616, 141107, 42493, 10339, 33809, 1211, 1054, 226976, 4151, 10339, 54260, 6093, 54260, 35596, 1470, 33809, 1211, 119055, 6093, 8947, 657, 54260, 98833, 3069, 31467, 3069, 20315, 2050, 10339, 54260, 6093, 6319, 75230, 1644, 12483, 7265, 41764, 33809, 1644, 159696, 2442, 29060, 6, 170355, 710, 7213, 2702, 12483, 10339, 33809, 1211, 44917, 69106, 6, 238144, 2882, 4, 8947, 47567, 1470, 75230, 49268, 54260, 2702, 12483, 10339, 33809, 1211, 119055, 20961, 26394, 71804, 26612, 54260, 34079, 34076, 75230, 148346, 16803, 6428, 33809, 26612, 24857, 36324, 24857, 6, 23093, 33809, 12483, 51328, 1470, 54260, 123073, 6, 148346, 12415, 35189, 711, 21847, 33809, 20911, 17537, 6655, 70845, 132025, 8903, 4484, 33809, 20911, 7265, 17824, 75230, 2702, 6681, 119718, 2808, 33809, 83182, 33809, 23405, 4151, 4113, 2808, 363, 18415, 26612, 37826, 24857, 3523, 33809, 2882, 6, 148346, 75322, 6093, 20911, 1470, 33809, 5666, 6655, 3069, 31467, 2808, 70845, 150764, 152, 26612, 33809, 26612, 6319, 33809, 152194, 205026, 6, 68558, 34076, 33809, 4484, 133111, 119055, 46646, 6255, 9934, 112711, 124724, 19024, 4, 6428, 33809, 2808, 54260, 5666, 54260, 44917, 26612, 42493, 6681, 29659, 54260, 1211, 199145, 6255, 874, 54260, 1211, 4151, 144754, 4, 119055, 13845, 6255, 124724, 54260, 710, 22426, 12666, 109636, 22426, 7369, 21733, 6093, 12483, 4, 49920, 51328, 3069, 31467, 2808, 6428, 33809, 2808, 7265, 163139, 2702, 12483, 36324, 6, 148222, 4113, 101296, 3131, 6293, 16, 7508, 75230, 36419, 2451, 209, 292, 23847, 75230, 36419, 6, 59919, 145168, 2932, 33809, 183216, 119055, 46646, 6, 148222, 4231, 33809, 20315, 1211, 39484, 31467, 12483, 3069, 31467, 2808, 6, 17645, 8903, 26612, 5332, 54260, 17645, 68313, 51328, 19024, 12415, 148346, 6093, 16175, 54260, 1644, 6, 148222, 4231, 33809, 20315, 5666, 7201, 54260, 152848, 22518, 54260, 12483, 2205, 4838, 26612, 8580, 6235, 22426, 54260, 710, 165592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4151, 6, 124470, 152099, 31467, 2648, 16175, 75230, 2932, 51328, 42493, 4, 6, 148222, 4231, 33809, 20315, 1211, 163139, 35189, 41764, 21847, 1644, 186046, 29659, 54260, 12483, 7511, 2882, 6, 148222, 145813, 45629, 107581, 1470, 33809, 5666, 6, 84577, 119718, 101503, 12483, 42493, 6, 148222, 46050, 2882, 33809, 4484, 65482, 4231, 65482, 1751, 57277, 26612, 54260, 1211, 4852, 18167, 6, 5, 2808, 33809, 5666, 22518, 54260, 12483, 2205, 1470, 54260, 1211, 52059, 36324, 4151, 6, 124470, 152099, 31467, 2648, 41764, 20961, 22426, 54196, 4231, 29060, 4231, 33809, 17645, 26612, 95766, 76961, 45223, 12483, 1470, 33809, 5666, 6, 148222, 4231, 33809, 20315, 1211, 1751, 238144, 8903, 1211, 4, 3523, 33809, 2442, 6, 238144, 1644, 4838, 54260, 26612, 6, 238144, 710, 12483, 42493, 148222, 6, 111506, 13159, 3131, 80453, 2808, 107581, 1470, 33809, 5666, 6681, 29659, 54260, 12483, 42493, 6, 238144, 1470, 26612, 71577, 137218, 26612, 26612, 26612, 8903, 1211, 4852, 54260, 123073, 6235, 2648, 167622, 12483, 4, 19024, 12415, 148346, 6093, 39484, 31467, 12483, 2205, 76961, 9424, 54260, 96986, 15622, 26612, 4231, 33809, 17645, 22426, 42733, 54260, 152848, 7369, 159696, 20911, 24857, 41764, 45629, 80885, 117641, 4484, 3069, 31467, 6, 59919, 22426, 14081, 49008, 4231, 29060, 4231, 33809, 17645, 26612, 10705, 5666, 4151, 4231, 33809, 20315, 24377, 54260, 13497, 9213, 46685, 6, 4, 7369, 3056, 874, 22426, 22426, 1644, 58826, 201542, 26612, 17645, 6, 12483, 2882, 33809, 2882, 24857, 220224, 7511, 8903, 6, 4, 141107, 42493, 163139, 2808, 1470, 30682, 874, 54260, 13497, 123736, 12483, 4231, 40096, 6, 47351, 42493, 119718, 23829, 10339, 33809, 1211, 70845, 21776, 2882, 18225, 24857, 6, 4, 3523, 33809, 2808, 151614, 148346, 4838, 33809, 4667, 1751, 75230, 1211, 6, 17645, 22426, 2882, 6, 47351, 2808, 148346, 220771, 24857, 1470, 54260, 123073, 1470, 54260, 2932, 65482, 6, 148346, 12415, 35189, 4231, 33960, 148346, 12483, 10339, 54260, 4113, 26612, 4838, 33809, 5666, 39293, 17645, 22426, 22492, 448, 2205, 6, 148222, 364, 141943, 1470, 57619, 33809, 10918, 16747, 12483, 6, 148222, 364, 203387, 6, 5, 26612, 36324, 4151, 19024, 4484, 16932, 6655, 7746, 3523, 33809, 2882, 41764, 182759, 2932, 20315, 148346, 115731, 29060, 34654, 1211, 4231, 29060, 23269, 7511, 5666, 29659, 104274, 6655, 70845, 220224, 1211, 4, 41764, 12130, 132025, 8903, 22426, 122978, 4113, 4113, 4113, 33809, 710, 6, 54260, 4113, 8903, 1211, 4838, 75230, 26612, 148346, 54260, 6093, 6, 4, 6, 148222, 7508, 54260, 2648, 3056, 70845, 6, 23173, 75230, 2702, 10339, 33809, 1211, 86510, 12483, 364, 76632, 12483, 5332, 6, 29060, 4231, 40096, 4852, 54260, 23269, 6, 120749, 93975, 7508, 54260, 2648, 4, 3523, 26632, 9221, 32792, 4, 185000, 4838, 17824, 75230, 109636, 1211, 4838, 54260, 49209, 905, 33809, 22426, 4838, 75230, 22426, 100863, 116367, 17537, 7265, 21422, 1211, 8248, 31467, 1211, 4, 6, 148222, 39484, 31467, 12483, 6, 148222, 7508, 54260, 2648, 6235, 3111, 31467, 51723, 4838, 2884, 123736, 12483, 54260, 48904, 105330, 212915, 6655, 84087, 73256, 874, 56401, 6235, 159696, 1211, 36324, 4151, 5332, 2808, 146873, 26612, 6, 137218, 23822, 91595, 4, 7369, 6655, 18330, 171665, 448, 6235, 159696, 1211, 36324, 8947, 657, 176727, 4838, 50856, 75230, 2702, 12483, 1751, 33809, 67873, 4838, 75230, 22426, 710, 16870 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12483, 4231, 33809, 20315, 1211, 3069, 31467, 2808, 6, 207682, 163139, 2808, 5, 4151, 19024, 4484, 16932, 6, 225975, 2882, 1470, 33809, 5666, 4231, 40096, 4838, 710, 22426, 148346, 79238, 17410, 2702, 12483, 21422, 1211, 8248, 31467, 1211, 3069, 31467, 2808, 1157, 104149, 212632, 145813, 45629, 30750, 39293, 44917, 26612, 6, 125563, 2205, 2648, 33809, 2442, 34882, 2884, 5332, 20961, 54745, 16667, 22426, 2702, 14081, 49481, 6319, 54260, 23269, 4, 1751, 33809, 1644, 12483, 119055, 2808, 33809, 3069, 31467, 657, 71577, 12483, 6, 54260, 92605, 710, 83182, 212632, 6, 4, 37826, 7369, 7746, 6, 148346, 79238, 17410, 2702, 12483, 70845, 4838, 119055, 37016, 4838, 33809, 710, 33809, 109636, 1211, 47351, 4838, 129165, 2865, 20315, 43649, 16870, 2882, 43649, 33809, 79761, 12483, 119055, 2808, 33809, 8947, 3056, 1285, 6, 40096, 33809, 28726, 4838, 20315, 48904, 105330, 2865, 123844, 32054, 75230, 2808, 6, 64260, 163139, 2808, 3944, 148346, 22753, 2808, 6655, 6235, 26612, 26632, 4838, 137218, 112216, 1211, 16175, 33809, 96256, 5594, 25207, 114955, 4, 1470, 33809, 5666, 163139, 180141, 22753, 2808, 6655, 74806, 21660, 2882, 4231, 29060, 6, 137218, 54260, 4113, 26612, 161048, 46646, 24621, 46244, 6655, 22753, 2808, 6681, 506, 192900, 220224, 23269, 7508, 54260, 2648, 78104, 57277, 4231, 33809, 26612, 1751, 33809, 22426, 1211, 6, 137218, 165592, 46646, 12483, 6, 5, 132, 2865, 95957, 6293, 16, 43649, 54260, 1211, 2451, 534, 292, 29659, 54260, 7611, 4, 1054, 46646, 364, 54260, 16803, 2451, 192061, 22753, 2808, 150764, 95836, 364, 54260, 36419, 46711, 6093, 12483, 95766, 874, 54260, 1211, 44917, 5666, 26394, 18906, 22426, 32184, 3056, 3523, 23173, 657, 75230, 16932, 25093, 31467, 12130, 1470, 33809, 5666, 17824, 75230, 36419, 4113, 22426, 97594, 148346, 4113, 4231, 33809, 20315, 1211, 6, 4, 1470, 33809, 5666, 6255, 49027, 6, 101470, 874, 54260, 1211, 6, 148346, 1211, 6, 5594, 15435, 1470, 33809, 5666, 70845, 26612, 33809, 23269, 47063, 165354, 2205, 4151, 110573, 22426, 17188, 6, 23173, 54260, 1211, 4, 1054, 54260, 1644, 22753, 2808, 6655, 221387, 9934, 226976, 165592, 6, 148222, 43649, 33809, 79761, 18415, 220224, 49008, 17824, 75230, 36419, 6, 71577, 7682, 33809, 32206, 448, 6, 4, 42493, 1470, 54260, 59461, 10339, 33809, 1211, 4113, 54260, 2808, 364, 186955, 1751, 148346, 609, 163139, 2808, 4151, 42355, 3056, 4, 42493, 1470, 54260, 59461, 10339, 33809, 1211, 39384, 2808, 9174, 158291, 710, 33809, 54260, 3131, 22426, 75230, 2882, 163139, 2808, 3523, 26632, 6655, 6235, 148346, 64260, 12483, 4, 1470, 33809, 5666, 22753, 2808, 10339, 147713, 2882, 49920, 12483, 10339, 33809, 1211, 21106, 18415, 32054, 33809, 24621, 6, 238144, 148346, 6093, 6, 148346, 14236, 220224, 2808, 220224, 49008, 3069, 31467, 4852, 26632, 141847, 37016, 33809, 51723, 2205, 30109, 75230, 170355, 26612, 119718, 49008, 2451, 119718, 23829, 6, 54260, 2808, 39484, 31467, 12483, 6235, 4113, 54260, 13497, 1470, 33809, 5666, 6235, 148346, 29060, 12483, 3523, 26632, 36324, 7369, 895, 26612, 75230, 26612, 364, 33809, 96986, 10339, 33809, 1211, 620, 91595, 4113, 6235, 181692, 1644, 12483, 3069, 31467, 119055, 109316, 1211, 6235, 148346, 12483, 43649, 33809, 79761, 12483, 4113, 54260, 17645, 114955, 4, 22753, 2808, 9174, 26632, 7746, 132025, 8903, 506, 77188, 5, 22518, 37016, 7972, 30750, 74806, 710, 40920 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13159, 7201, 33809, 1211, 6, 54260, 2808, 4231, 33809, 2648, 40697, 43649, 33809, 2648, 35596, 12483, 4, 36324, 220224, 2808, 1157, 4944, 12483, 1470, 33809, 5666, 3373, 34557, 12483, 9174, 33809, 4852, 4484, 7201, 33809, 1211, 76961, 4231, 33809, 2648, 40697, 6, 58082, 41507, 6, 5, 123736, 148346, 15350, 33809, 10339, 33809, 1211, 6, 124470, 3131, 32792, 1470, 33809, 5666, 110573, 80453, 850, 620, 48904, 12483, 2808, 2808, 54260, 4113, 4838, 33104, 137765, 36324, 22753, 2808, 6655, 221387, 10339, 33809, 1211, 9213, 46244, 18225, 4, 36324, 7369, 119718, 15350, 41764, 14081, 8903, 1211, 10676, 19024, 20911, 93497, 5332, 8632, 4, 6655, 22753, 2808, 74806, 12415, 12483, 1470, 33809, 5666, 8903, 158853, 171665, 11556, 2882, 54745, 1211, 6, 124470, 905, 148346, 506, 506, 4, 9213, 46244, 6, 133111, 6655, 7746, 2205, 132025, 27720, 23405, 6, 190135, 710, 22426, 33809, 25603, 12483, 6, 105515, 11265, 9213, 148346, 6093, 10676, 19024, 20911, 93497, 127461, 6, 4, 6, 75230, 2808, 198754, 7369, 137218, 34079, 123736, 148346, 6093, 141107, 198754, 4, 7369, 6655, 9213, 46244, 8248, 31467, 24152, 1644, 77188, 36324, 4151, 19024, 20911, 89184, 75230, 13497, 42493, 205884, 6319, 75230, 8903, 6, 148346, 54260, 4852, 6, 4, 51328, 7369, 204982, 220224, 1211, 5332, 8632, 49481, 6, 148222, 22426, 26612, 125942, 33809, 39340, 10339, 33809, 1211, 4151, 6, 159696, 21295, 163139, 2808, 7369, 6655, 115222, 50778, 119132, 3523, 109316, 148346, 35596, 5, 4, 71577, 4113, 26612, 5332, 26632, 6, 33353, 141107, 1470, 33809, 112304, 34533, 4, 22753, 2808, 6655, 1470, 54260, 1211, 73256, 150764, 1054, 6093, 29060, 43649, 33809, 2648, 54196, 4, 4151, 3523, 54260, 2882, 4838, 45629, 22426, 10339, 33809, 1211, 4231, 33809, 2648, 40697, 1211, 6, 159696, 2932, 4, 1470, 33809, 5666, 10339, 33809, 1211, 10676, 137218, 146873, 26612, 26612, 506, 40096, 33414, 2808, 6235, 225975, 2882, 3069, 31467, 2808, 9213, 46244, 6, 133111, 292, 47567, 16803, 2712, 6319, 54260, 1211, 54260, 13456, 22426, 21847, 6, 101470, 4, 42493, 76961, 134973, 12483, 6319, 33809, 51723, 3069, 31467, 2808, 36324, 2808, 874, 13982, 5927, 4, 24857, 119859, 4113, 22426, 17645, 4838, 33809, 22426, 14856, 46244, 80885, 6, 23093, 54260, 1644, 6, 4, 6, 148346, 1644, 54260, 148346, 12483, 2205, 7265, 12483, 43649, 33809, 79761, 12483, 6, 5, 71577, 710, 6, 15350, 75230, 109636, 1211, 42493, 4838, 506, 8580, 1470, 33809, 5666, 42493, 4838, 506, 6093, 4, 6, 148346, 12984, 6655, 22753, 2808, 70845, 6235, 148346, 29060, 12483, 47351, 6, 12483, 9934, 21106, 364, 59929, 28415, 10339, 33809, 1211, 2205, 874, 75230, 1644, 42493, 1470, 33809, 23405, 54260, 15907, 47351, 4231, 40096, 76961, 874, 21106, 7369, 22426, 710, 21295, 10676, 83819, 1211, 10339, 33809, 1211, 42355, 1470, 33809, 46677, 15907, 4231, 40096, 6, 12483, 33960, 46244, 1470, 75230, 4667, 6681, 3131, 80453, 14004, 12483, 14856, 46244, 42493, 3069, 31467, 564, 54260, 20315, 1211, 75230, 95957, 6293, 16, 10339, 33809, 1211, 5666, 427, 292, 36909, 710, 10676, 1470, 33809, 5666, 36324, 75230, 2808, 3056, 24857, 67826, 1644, 6235, 905, 10705, 12483, 6, 5, 5666, 105330, 133111, 6655, 7746, 6, 238144, 16932, 6235, 3111, 31467, 51723, 3069, 31467, 2808, 6, 54260, 1211, 34076, 54260, 17645, 71804, 6, 12483, 192061 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 119718, 158291, 1470, 54260, 5666, 148346, 2442, 54260, 183216, 24857, 119055, 46646, 7369, 6655, 6, 148222, 6, 119859, 142170, 9424, 54260, 2882, 7511, 2882, 23050, 44478, 35596, 1470, 33809, 5666, 7369, 6655, 6681, 8903, 2702, 12483, 6, 68558, 6428, 129071, 6093, 4838, 33809, 5666, 6, 68558, 4852, 54260, 23269, 7508, 54260, 2648, 4, 123736, 148346, 6093, 4151, 4231, 33809, 23405, 6093, 34076, 7682, 133111, 6655, 24857, 42493, 112216, 18640, 13159, 12483, 2808, 33809, 5666, 7369, 6655, 6235, 4852, 33809, 40920, 6, 148222, 6235, 28726, 8903, 5927, 54260, 2882, 3069, 31467, 2808, 6, 148346, 48350, 33809, 4944, 12483, 10676, 6, 137218, 146873, 26612, 2808, 33809, 5666, 6, 148346, 54260, 2808, 9213, 3149, 2050, 1470, 54260, 1211, 5332, 8632, 3069, 31467, 2808, 129165, 8903, 1211, 163139, 2808, 7369, 47567, 6, 80264, 4838, 905, 54260, 2442, 33809, 22426, 54260, 12483, 4852, 54260, 23269, 6235, 2648, 167622, 12483, 3069, 31467, 32899, 87637, 12483, 43649, 33809, 79761, 12483, 4, 36324, 18225, 8248, 31467, 40920, 6235, 22426, 41595, 6, 96986, 26612, 6093, 3056, 6235, 4484, 33809, 51723, 3069, 31467, 2050, 19024, 4484, 16932, 1470, 33809, 5666, 6655, 1470, 30682, 6235, 109636, 710, 12483, 6, 12483, 4852, 14081, 1470, 30682, 6, 54260, 1211, 3069, 31467, 11211, 108968, 4838, 159696, 4484, 8300, 33809, 27720, 46244, 12483, 4, 13278, 2050, 6, 59461, 6, 94741, 146873, 26612, 6, 137218, 96256, 30682, 132025, 27720, 23405, 42493, 36324, 75230, 2808, 180141, 3069, 31467, 61397, 29060, 4838, 159696, 4484, 8300, 33809, 22426, 26612, 26612, 29771, 12483, 5332, 6, 12483, 192061, 1470, 30682, 6235, 4852, 62067, 36324, 4151, 184639, 74388, 10339, 33809, 1211, 6, 148346, 33809, 12666, 33809, 23405, 4838, 2884, 8300, 33809, 145168, 8903, 1211, 895, 16932, 1211, 3069, 31467, 2808, 6, 207682, 220224, 6093, 83819, 1211, 6, 4, 3523, 23173, 4151, 4231, 33809, 183216, 5666, 105330, 133111, 6655, 7746, 6, 148346, 34882, 35596, 7265, 10184, 13845, 4231, 33809, 5666, 8903, 657, 33809, 2882, 4231, 40096, 6, 54260, 49008, 8903, 4113, 12483, 4151, 8300, 33809, 2808, 4269, 33809, 2882, 6235, 4852, 226976, 1470, 33809, 5666, 151614, 148346, 12483, 1470, 30682, 3069, 31467, 4113, 8903, 109636, 1211, 4838, 3131, 149364, 47567, 6428, 33809, 2442, 51172, 75230, 2702, 32899, 46244, 12483, 43649, 33809, 79761, 12483, 1470, 33809, 5666, 34076, 7682, 212915, 4231, 40096, 6, 48904, 8903, 26612, 27720, 183216, 123736, 23741, 93497, 3069, 31467, 2808, 3523, 54260, 1211, 6, 148346, 54260, 2808, 10676, 81444, 4484, 16932, 1470, 33809, 5666, 162726, 4231, 33809, 109636, 96986, 2808, 30682, 24857, 7369, 47567, 70845, 364, 15350, 55823, 6235, 148346, 12483, 4, 9174, 26632, 4151, 5332, 92605, 109636, 26612, 39384, 22426, 7511, 2882, 6, 35596, 74004, 98833, 1470, 33809, 5666, 6428, 33809, 81455, 220224, 23269, 11211, 108968, 1470, 33809, 5666, 54745, 57619, 33809, 7265, 5332, 26612, 905, 54260, 4113, 22426, 2808, 16932, 8903, 2702, 1470, 33809, 5666, 6, 117404, 4113, 3056, 4151, 4231, 33809, 23405, 6093, 3523, 105330, 207682, 4838, 159696, 4484, 8903, 22426, 26612, 71577, 12483, 22492, 4667, 3944, 22492, 119718, 5, 95766, 4231, 114436, 9424, 54260, 2882, 3056, 6235, 4113, 12483, 6, 183718, 77820, 10339, 33809, 1211, 6428, 33809, 54260, 112452, 5332, 26612, 21106, 710, 22492, 119718, 84087, 14856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46244, 3069, 31467, 2808, 32899, 46244, 12483, 163139, 2808, 364, 54260, 13497, 10339, 33809, 1211, 1054, 33809, 15350, 208048, 5332, 71577, 181980, 7682, 2808, 4, 3523, 105330, 133111, 5332, 20961, 42493, 6235, 119718, 2808, 75230, 13497, 3069, 31467, 4151, 3523, 54260, 39293, 6, 12483, 4231, 40096, 154197, 36419, 6, 147185, 6235, 7972, 96986, 10339, 33809, 1211, 6, 148222, 41764, 75230, 1644, 40697, 6, 148346, 75230, 20315, 1211, 1211, 36324, 6, 12483, 4231, 40096, 171665, 112304, 13497, 69741, 23093, 174246, 230764, 6, 148222, 182990, 6, 170355, 4667, 6, 5, 8009, 4231, 40096, 6235, 9183, 186955, 8300, 33809, 2442, 7682, 22426, 43590, 25207, 1211, 6, 4, 51328, 7369, 6655, 6, 148346, 2808, 25207, 4944, 35596, 6, 238144, 6319, 47351, 6, 12483, 1751, 33809, 109636, 1211, 8300, 33809, 2442, 7682, 4838, 506, 54260, 2050, 4, 76961, 49027, 12483, 10339, 33809, 1211, 1470, 30682, 1157, 4944, 12483, 4, 7369, 119055, 29060, 4231, 33809, 1211, 4838, 710, 22426, 132, 2865, 56703, 6293, 16, 42493, 22426, 702, 41764, 7511, 2882, 4838, 2808, 148346, 12483, 2205, 19302, 75230, 4852, 4, 7265, 10676, 6235, 2648, 167622, 12483, 6655, 7369, 22753, 2648, 74806, 46545, 96256, 33809, 1211, 6428, 33809, 81455, 84087, 657, 54260, 20315, 1211, 3056, 7369, 6235, 4484, 33809, 51723, 2205, 3944, 22492, 119718, 6, 5, 119055, 2808, 33809, 220224, 23269, 29771, 1982, 2884, 2451, 29771, 1982, 145327, 15, 13845, 16932, 16667, 895, 16932, 1211, 16, 220224, 49008, 140108, 42493, 6235, 159696, 1211, 6, 5, 2648, 5, 148222, 1470, 33809, 23405, 105330, 149010, 874, 33809, 16932, 6, 5, 10069, 26612, 32054, 75230, 2808, 3523, 105330, 133111, 163139, 2808, 20033, 39484, 31467, 12483, 6681, 506, 6093, 7369, 8300, 54260, 21295, 2808, 33809, 5666, 74806, 145161, 77188, 9213, 506, 25207, 6235, 2648, 167622, 12483, 163139, 2808, 22753, 2808, 3523, 33353, 6235, 4852, 226976, 6235, 8903, 1211, 29659, 33809, 54260, 8903, 1211, 2205, 4838, 1751, 33809, 28726, 4, 1470, 33809, 5666, 163139, 2808, 22753, 2808, 10339, 147713, 2882, 9213, 46685, 46654, 33809, 4944, 12483, 29260, 33809, 7972, 12483, 16, 6, 148222, 895, 16932, 1211, 119055, 46646, 7369, 1644, 75230, 148346, 12483, 220224, 123073, 114955, 3069, 31467, 43649, 33809, 79761, 8580, 8903, 148346, 2882, 36324, 8947, 3056, 1470, 75230, 2702, 8903, 240863, 12483, 3069, 31467, 9213, 506, 25207, 4838, 54260, 23269, 8903, 1470, 75230, 8903, 1211, 6, 4, 60980, 1211, 109636, 1211, 22753, 22426, 6681, 105235, 1644, 12483, 9213, 506, 25207, 6, 147185, 4, 22753, 2808, 6, 33353, 163139, 2808, 18906, 33809, 8903, 15, 64044, 93449, 16, 58032, 26612, 4231, 40096, 42493, 6235, 119718, 2808, 33809, 16803, 119055, 46646, 3069, 31467, 6, 207682, 6, 4, 110573, 1644, 71070, 124470, 506, 6655, 22753, 2808, 1470, 75230, 2702, 8903, 17410, 12483, 3069, 31467, 2050, 19024, 4484, 16932, 198754, 133111, 4, 22753, 2808, 10339, 147713, 2882, 657, 75230, 55823, 1211, 3069, 31467, 2808, 1470, 30682, 137218, 710, 112216, 1644, 32097, 4113, 6, 148346, 29060, 12483, 1470, 30682, 7265, 3523, 33809, 96986, 1470, 33809, 5666, 4838, 73256, 95836, 6, 148346, 54260, 12483, 6, 5, 710, 26632, 7369, 55242, 1644, 1470, 54260, 1211, 73256, 51328, 6, 68558, 4838, 6, 124470, 9221, 33809, 7611, 9213, 46244, 4838, 4113, 37016, 8903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 148346, 12483, 10676, 26612, 33809, 1211, 4838, 54260, 5666, 122165, 7369, 6655, 1470, 30682, 4838, 159696, 4484, 8903, 3131, 93449, 2205, 4151, 110573, 22426, 17188, 4, 874, 33809, 30473, 26612, 4838, 30682, 3069, 31467, 26612, 33809, 4484, 148346, 2442, 54260, 183216, 9934, 98071, 2808, 41764, 147713, 2882, 1470, 30682, 7213, 1644, 96986, 7265, 6, 148346, 15907, 123073, 21733, 71804, 109636, 58826, 8903, 1211, 199720, 148346, 4113, 119055, 6093, 16932, 2205, 21422, 1211, 6235, 8903, 8903, 101503, 6, 5, 22753, 2808, 9174, 26632, 137377, 54260, 33809, 5332, 22426, 28726, 148346, 4113, 73256, 42493, 36324, 75230, 2808, 6, 29060, 23050, 2865, 115536, 4, 3523, 33809, 2442, 22753, 2808, 9174, 26632, 42493, 8903, 26612, 35596, 4838, 33809, 5666, 42572, 23829, 6655, 6235, 207682, 24857, 9213, 46244, 93975, 6, 5, 63188, 198754, 207682, 4, 6655, 174246, 230764, 9213, 46244, 17824, 75230, 2702, 51369, 2702, 9134, 6, 4, 12483, 4231, 26632, 6, 54260, 2808, 6, 80453, 75230, 26612, 6, 148346, 16870, 75230, 77188, 4, 16175, 54260, 1644, 49481, 9213, 506, 25207, 6235, 2648, 167622, 12483, 9174, 2808, 57277, 12483, 58826, 148346, 9213, 46244, 1470, 33809, 23405, 105330, 32792, 23050, 2865, 115536, 6, 4, 1470, 33809, 5666, 6, 148346, 137127, 119055, 20961, 4151, 17645, 50778, 47351, 4838, 2932, 33809, 16932, 14856, 110970, 4, 7369, 6655, 174246, 6, 40096, 54260, 4944, 12483, 3523, 26632, 33809, 2442, 4, 6, 89184, 40096, 177274, 1211, 14856, 110970, 12483, 6235, 4113, 158291, 6, 207682, 220224, 1211, 83819, 1211, 6, 64260, 163139, 2808, 4231, 114436, 710, 125563, 48904, 98833, 5332, 1470, 33809, 5666, 6655, 42493, 6235, 4113, 158291, 167048, 54260, 96986, 6235, 8903, 1211, 4231, 65482, 36258, 132, 2865, 95957, 6293, 16, 3523, 54260, 16803, 2451, 616, 292, 5666, 54260, 16803, 4, 51328, 1054, 6093, 6655, 6, 148346, 54260, 2808, 36324, 2808, 14856, 144862, 506, 1751, 33809, 50853, 705, 1470, 33809, 1211, 119055, 12483, 112216, 1211, 14004, 46244, 45223, 55823, 1211, 705, 6, 148222, 32054, 75230, 2808, 6655, 1470, 30682, 36324, 75230, 2808, 41764, 15350, 41764, 14004, 172060, 54260, 4113, 40096, 144754, 9213, 506, 25207, 19302, 27570, 36324, 7369, 6655, 6235, 506, 54260, 2702, 12483, 10676, 1285, 49008, 6, 12483, 4838, 21106, 26612, 137218, 23173, 75230, 34575, 54260, 148346, 12483, 10339, 33809, 1211, 220224, 1211, 364, 75230, 4852, 4, 123736, 148346, 6093, 22753, 2808, 6655, 24857, 42493, 6235, 26612, 4113, 22426, 18415, 30473, 2808, 10339, 147713, 2882, 43649, 54260, 1211, 230764, 10676, 364, 75230, 6293, 169532, 169532, 32792, 1470, 33809, 5927, 26632, 23050, 3131, 186955, 8580, 144754, 172590, 657, 75230, 16932, 67826, 24621, 36324, 18225, 6655, 23050, 4484, 62067, 49920, 12483, 5332, 119718, 23173, 91595, 2865, 226976, 2205, 48011, 6, 5, 2442, 91595, 133111, 6655, 1751, 75230, 1211, 24857, 42493, 6235, 4484, 62067, 6, 77188, 1982, 26612, 8903, 1211, 4, 7369, 4231, 40096, 4852, 18167, 180141, 6681, 6093, 61397, 2882, 230764, 9213, 46244, 1470, 33809, 5666, 7369, 6655, 6, 148346, 2808, 172060, 33809, 1644, 12483, 6, 54260, 1211, 2648, 127684, 7369, 47567, 4838, 905, 37016, 105235, 1644, 12483, 10676, 6319, 54260, 2882, 2451, 506, 33809, 16747, 6, 148346, 75230, 2808, 54745, 2882, 16175, 159696, 26612, 5332, 2808, 33809, 5666, 4151, 1285, 59461, 6655, 36324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 2808, 6235, 207682, 4, 4151, 364, 33809, 16747, 6, 238144, 6, 12483, 4231, 40096, 4838, 710, 48904, 20961, 4151, 39293, 506, 12483, 10339, 33809, 1211, 3523, 54260, 96986, 4, 6655, 7369, 9213, 46244, 6235, 119718, 710, 104149, 220224, 23269, 6, 95494, 71577, 21660, 54260, 59461, 4, 6655, 22753, 2808, 1470, 30682, 6235, 119718, 158291, 23292, 20961, 109636, 1211, 7265, 145813, 54260, 23269, 9183, 4838, 109636, 93704, 6093, 1285, 59461, 6655, 9213, 46244, 150764, 24857, 22753, 2808, 47567, 6, 148346, 13159, 6093, 41764, 33809, 1211, 4838, 33809, 4113, 26612, 137377, 2882, 17645, 96986, 6, 64260, 24857, 5332, 20961, 4838, 4269, 33809, 16932, 174538, 5, 30473, 2808, 37826, 6428, 43178, 137377, 137218, 17410, 75230, 111137, 506, 77188, 3069, 33809, 2808, 3523, 54260, 1211, 4838, 506, 8580, 6, 5, 148222, 1470, 33809, 23405, 105330, 149010, 874, 33809, 16932, 6655, 7746, 6, 148346, 79238, 17410, 2702, 12483, 3069, 31467, 6, 137218, 26612, 710, 12483, 21106, 54260, 1211, 49481, 3944, 22492, 119718, 8248, 31467, 4944, 12483, 9213, 46244, 8248, 31467, 1211, 4, 84087, 54260, 47332, 1054, 29060, 22753, 2808, 6, 54260, 137218, 213909, 12483, 23173, 75230, 2702, 96743, 109636, 1211, 10339, 33809, 1211, 4151, 110573, 91163, 506, 6, 4, 1470, 33809, 5666, 22753, 2808, 1054, 158291, 6235, 119718, 21292, 6235, 22426, 26612, 26612, 26612, 4113, 47351, 22492, 2442, 6, 148222, 9424, 54260, 2882, 6655, 9213, 46244, 6235, 148346, 1982, 115536, 221895, 95620, 5332, 4838, 142170, 26612, 48350, 48340, 4, 1470, 33809, 5666, 221895, 6, 147185, 4, 36324, 22753, 2808, 6655, 1751, 75230, 1211, 3523, 23173, 4231, 33809, 8580, 5332, 26612, 15907, 8903, 192061, 4838, 159696, 22426, 8300, 33809, 27720, 506, 61621, 10339, 33809, 1211, 6428, 33809, 45629, 112452, 4, 22753, 2808, 6655, 174246, 4838, 4269, 33809, 96986, 6, 109636, 109636, 26612, 147185, 6681, 9213, 506, 25207, 1470, 75230, 8903, 1211, 6, 4, 9213, 46244, 6, 148346, 609, 104395, 506, 4231, 40096, 4838, 26612, 26612, 26612, 64044, 3131, 119718, 20961, 56169, 10676, 41764, 12130, 4, 42493, 9213, 46244, 6, 21106, 54260, 1211, 44458, 140746, 1211, 4838, 905, 26612, 6, 76776, 119859, 4113, 238144, 36419, 32899, 1211, 10339, 33809, 1211, 6, 148222, 4113, 14081, 35189, 23269, 10339, 59929, 55990, 4113, 36324, 75230, 2808, 6, 238144, 6, 54260, 26612, 6, 75230, 4113, 17645, 93704, 2808, 6, 148346, 14081, 2648, 7369, 8300, 54260, 79981, 6, 5, 132, 2865, 95957, 6293, 16, 292, 26632, 710, 2451, 42355, 2451, 423, 292, 506, 5, 148222, 4269, 33809, 18415, 17190, 506, 25207, 6, 5, 21847, 7682, 2865, 123844, 32887, 4944, 16932, 6, 148222, 6, 148346, 609, 104395, 506, 6, 4, 10339, 33809, 1211, 4151, 9424, 54260, 2882, 119055, 46646, 30473, 2808, 5332, 20961, 121193, 167622, 6, 4, 1470, 33809, 5666, 4151, 19024, 4484, 16932, 6655, 9213, 46244, 45521, 90848, 38054, 35596, 22753, 54595, 14081, 36324, 75230, 2808, 84087, 42493, 6, 23173, 148346, 54260, 96986, 6, 5, 3523, 33809, 2442, 22753, 2808, 47567, 3523, 54260, 1211, 145813, 26612, 138194, 12483, 1470, 33809, 5666, 48904, 8903, 8903, 6, 149364, 81371, 8903, 1211, 8248, 31467, 4944, 12483, 5, 6655, 6, 148222, 874, 33809, 16932, 6235, 145168, 13497, 10676, 6, 148346, 2808, 61541, 4, 2648, 54260, 6, 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 ]
[ 609, 104395, 506, 6655, 132025, 8903, 27720, 183216, 3069, 31467, 17190, 148346, 12483, 4838, 6, 148346, 21292, 13845, 32054, 54260, 6093, 6, 5, 4852, 54260, 3056, 49481, 6235, 22492, 183216, 3069, 31467, 2050, 19024, 4484, 16932, 4, 6, 238144, 1644, 22753, 2808, 119055, 20961, 49481, 42493, 95766, 182990, 1211, 6235, 4852, 33809, 16747, 6, 4, 4151, 19024, 4484, 16932, 10339, 147713, 2882, 7746, 6, 59919, 148346, 2442, 54260, 183216, 7265, 14004, 46244, 6, 4, 7369, 10339, 147713, 2882, 9213, 46244, 7369, 8300, 54260, 1644, 12483, 6, 29259, 710, 13159, 10339, 33809, 1211, 4151, 17824, 75230, 101608, 6, 159696, 21295, 165592, 42493, 51328, 6428, 33809, 2442, 34882, 33809, 1211, 3056, 6, 148222, 182990, 6, 159696, 21295, 4, 8947, 4269, 33809, 2882, 84087, 17824, 75230, 36419, 105235, 2648, 2882, 1470, 33809, 5666, 34654, 36419, 657, 192539, 7265, 45521, 93509, 88945, 8903, 6, 61541, 75290, 7265, 84087, 3131, 22426, 137218, 710, 12483, 1211, 4151, 14856, 110970, 119055, 46646, 163139, 1644, 163139, 2702, 12483, 1470, 33809, 5666, 134973, 12483, 6, 148222, 5332, 13845, 2882, 2865, 33809, 4852, 212632, 145813, 45629, 4944, 12483, 1470, 33809, 5666, 163139, 36419, 191538, 22426, 96986, 4, 123736, 506, 8903, 10676, 60980, 1211, 16175, 6, 12483, 7511, 2882, 6, 167305, 4113, 12483, 1470, 33809, 5666, 163139, 40920, 93975, 6, 74004, 4944, 12483, 6, 207682, 710, 159308, 2648, 71512, 4269, 33809, 18415, 17190, 506, 25207, 6655, 7369, 24857, 874, 16870, 4944, 12483, 5, 163139, 2808, 6, 148346, 43178, 75230, 109636, 15907, 3069, 31467, 6, 148346, 145161, 33809, 23405, 6, 4, 22753, 14004, 6655, 132025, 8903, 27720, 183216, 3069, 31467, 212632, 17190, 104149, 26612, 26612, 710, 48904, 54260, 148346, 12483, 6428, 54260, 48253, 1470, 33809, 5666, 64751, 57619, 75230, 4852, 13456, 6, 4, 6, 148222, 874, 33809, 16932, 163139, 35189, 6, 64260, 238144, 3944, 148346, 22753, 2808, 6655, 174246, 6, 148222, 32887, 4944, 16932, 6, 64260, 36324, 75230, 2808, 6, 33353, 22753, 2808, 95766, 4231, 29060, 230764, 9213, 46244, 6, 4, 6, 238144, 1644, 22753, 2808, 6655, 7746, 6, 21106, 28726, 1470, 75230, 8903, 5666, 148346, 1644, 125897, 119718, 71512, 98833, 36324, 6428, 33809, 81455, 123736, 65405, 2442, 3056, 4151, 8248, 31467, 1211, 4838, 159696, 4484, 2205, 110573, 22426, 17188, 6, 5, 6428, 33809, 81455, 26612, 137218, 26612, 4838, 15533, 7369, 4838, 177282, 29771, 55823, 1211, 2205, 4151, 45223, 6, 23173, 54260, 1211, 6428, 33809, 81455, 9213, 46244, 6655, 17645, 26612, 6, 1211, 14004, 16932, 174246, 6, 148222, 6235, 28726, 8903, 5927, 54260, 2882, 3069, 31467, 6681, 111684, 25207, 1211, 9213, 46244, 148346, 1211, 6, 5594, 137218, 2205, 3944, 22492, 119718, 6, 23173, 54260, 1211, 6, 5, 148222, 16175, 33809, 16932, 10339, 147713, 2882, 6, 141353, 75230, 6293, 6, 238144, 49008, 1470, 33809, 5666, 19302, 64567, 12483, 44917, 57619, 29789, 29789, 1470, 33809, 5666, 3523, 91595, 6, 4, 22753, 2808, 10339, 147713, 2882, 30109, 4113, 4944, 26394, 1211, 1470, 33809, 5666, 22753, 193338, 1211, 230764, 6, 148222, 29789, 905, 33809, 109636, 6, 189069, 119055, 46646, 4151, 81444, 4484, 16932, 6655, 230764, 9213, 46244, 6235, 148346, 2442, 115536, 6, 5, 54260, 2882, 4151, 21422, 2882, 6655, 6, 148222, 874, 33809, 16932, 6, 148346, 4113, 210674 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 33809, 5666, 22753, 2808, 6655, 132, 2865, 95957, 6293, 16, 7746, 2451, 611, 292, 4852, 18167, 55242, 506, 6093, 6235, 119718, 2808, 33809, 83182, 2882, 4, 3069, 31467, 55242, 42023, 36324, 6, 148222, 97483, 4944, 16932, 6655, 132025, 48904, 73381, 122978, 6, 56880, 46654, 54260, 2702, 18640, 3069, 31467, 2808, 6, 23173, 148346, 54260, 96986, 36324, 13845, 107581, 6, 74004, 4944, 12483, 119055, 46646, 220224, 4231, 40096, 35189, 7201, 33809, 1211, 564, 54260, 1211, 73256, 42493, 6235, 119718, 2808, 33809, 16803, 4, 3069, 31467, 17190, 104149, 1470, 33809, 5666, 3069, 31467, 145813, 54260, 4113, 12483, 4838, 148222, 874, 33809, 16932, 10339, 147713, 2882, 9213, 46244, 6, 226976, 874, 33809, 49268, 22753, 2808, 9934, 21106, 4231, 40096, 42493, 25491, 1211, 7746, 6, 148346, 4113, 36326, 160687, 8903, 1211, 7265, 46711, 6293, 2451, 22426, 2702, 79981, 6, 4, 9934, 98071, 2808, 37826, 11265, 26612, 6, 71577, 22426, 1644, 33809, 4484, 54260, 1211, 11139, 13381, 99581, 42493, 6235, 4113, 158291, 6, 207682, 4, 51328, 22753, 2808, 6655, 4838, 5594, 26612, 112216, 15907, 8903, 29659, 77188, 55242, 506, 6093, 84087, 10339, 33809, 1211, 9213, 506, 25207, 6, 23173, 148346, 54260, 2882, 6, 5, 35189, 19024, 4484, 16932, 123736, 148346, 6093, 6655, 9213, 46244, 874, 101146, 6235, 4113, 12483, 119055, 75230, 7508, 54260, 1211, 26612, 54260, 8903, 119132, 192544, 4, 7369, 6655, 9213, 46244, 6235, 8903, 148346, 12483, 3523, 33809, 18415, 6, 148346, 710, 104238, 1470, 33809, 1211, 6, 151227, 12483, 13497, 144754, 9213, 46244, 49481, 6, 148222, 3523, 54260, 13159, 18415, 58573, 2808, 20315, 6, 5, 148222, 32054, 54260, 79981, 119055, 20961, 95247, 33809, 18415, 7213, 44478, 12483, 4, 2205, 4838, 6319, 33809, 2442, 26394, 7508, 54260, 2882, 4231, 40096, 30473, 2808, 6681, 29659, 226976, 163139, 2808, 3069, 31467, 17190, 104149, 1470, 33809, 5666, 6655, 123736, 2932, 8903, 27720, 5666, 49008, 3069, 31467, 6, 148346, 8580, 8300, 33809, 2050, 19024, 4484, 16932, 220224, 6093, 123736, 23741, 4, 1470, 33809, 5666, 140108, 12483, 6655, 22753, 2808, 46654, 75230, 2702, 18640, 6235, 28726, 4113, 71577, 93704, 23829, 874, 33809, 16932, 6, 4, 119055, 46646, 6, 238144, 16932, 6655, 22753, 2808, 132025, 23269, 27720, 183216, 4838, 75230, 22426, 14004, 46244, 14856, 46244, 4838, 40920, 33809, 23405, 3069, 31467, 6235, 148346, 12483, 6, 4, 1470, 33809, 5666, 22753, 2808, 6655, 9213, 46244, 5332, 75230, 4113, 26612, 41764, 15350, 8903, 6093, 61397, 2882, 6, 148346, 20616, 14081, 96986, 9213, 506, 25207, 6, 148346, 710, 104238, 1470, 33809, 5666, 4838, 73256, 3069, 31467, 3111, 54260, 12483, 5332, 54260, 26612, 64044, 9213, 506, 25207, 1470, 75230, 23269, 4, 22753, 2808, 6655, 9213, 46244, 6235, 29659, 51172, 2702, 29060, 1470, 75230, 6, 17645, 119055, 29060, 14004, 46244, 42493, 117641, 49008, 1054, 29060, 22753, 2808, 9213, 46244, 10339, 33809, 1211, 43649, 33809, 148346, 4838, 15529, 33809, 34575, 75230, 148346, 12483, 8009, 46646, 874, 16870, 4944, 12483, 6655, 132025, 8903, 506, 75230, 148346, 12483, 3069, 31467, 46590, 12483, 5332, 34322, 6, 29060, 4231, 43178, 75230, 48253, 1644, 91595, 4, 1470, 33809, 5666, 6655, 1751, 75230, 1211, 4838, 6, 148346, 21292, 13845, 3069, 31467, 46590, 6235, 4484, 33809, 20911, 7265, 4838, 620, 43178, 109636, 2808, 75230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2932, 230764, 6, 148222, 874, 33809, 16932, 22753, 2808, 6655, 6235, 905, 158291, 163139, 46590, 107189, 6, 84577, 12666, 71577, 42733, 33809, 1211, 9213, 46244, 4, 123736, 148346, 6093, 119055, 2808, 33809, 657, 75230, 23741, 18225, 4, 22753, 2808, 6655, 163139, 46590, 6, 200651, 15750, 8300, 33809, 54260, 2882, 20315, 2050, 19024, 4484, 16932, 163139, 2808, 620, 91595, 9213, 46244, 2205, 22753, 2808, 60980, 1211, 42493, 2190, 33809, 51437, 21106, 710, 12483, 148222, 6, 147185, 10339, 33809, 1211, 6, 148222, 874, 33809, 16932, 6, 4, 6655, 9213, 46244, 198754, 207682, 6235, 35596, 22426, 35596, 119718, 23829, 55242, 54745, 1211, 163139, 1644, 16803, 6428, 33809, 2808, 705, 212632, 1470, 33809, 5666, 6319, 54260, 23269, 6, 147185, 9174, 2808, 109636, 1211, 4838, 163139, 93704, 12483, 4, 4838, 192544, 119055, 46646, 163139, 1644, 212632, 874, 33809, 4852, 4838, 75386, 3069, 31467, 211630, 12483, 220224, 1211, 5332, 18225, 16175, 33809, 1211, 1644, 54260, 20315, 1211, 10339, 33809, 1211, 895, 16932, 1211, 1470, 33809, 5666, 10339, 33809, 1211, 129165, 2865, 20315, 14856, 110970, 12483, 2190, 33809, 710, 106, 18225, 16175, 33809, 1211, 46985, 8903, 1211, 4838, 75386, 4838, 12415, 148346, 6093, 46711, 64567, 12483, 6, 5, 148222, 874, 16870, 4944, 12483, 5332, 20961, 4838, 46590, 33809, 1470, 33809, 57619, 33809, 211630, 12483, 7265, 10676, 4838, 98833, 905, 26612, 15907, 132, 2865, 95957, 6293, 16, 1470, 33809, 2932, 2451, 729, 292, 26612, 33809, 5666, 4231, 40096, 23050, 80453, 35596, 10676, 81444, 16932, 152, 16175, 59929, 9174, 54260, 16803, 10339, 33809, 1211, 129165, 2865, 20315, 24621, 110970, 12483, 874, 33809, 4852, 18225, 1470, 75230, 4667, 657, 54260, 20315, 1211, 705, 119055, 46646, 39484, 31467, 12483, 129165, 2865, 20315, 14856, 110970, 12483, 8300, 33809, 26612, 905, 30842, 1470, 33809, 5666, 6681, 1054, 46646, 6, 148346, 2442, 75230, 4667, 6255, 10339, 33809, 1211, 220224, 2808, 3069, 31467, 1644, 54260, 20315, 1211, 6, 5, 29771, 4231, 364, 33809, 2808, 6, 238144, 16803, 49481, 42493, 874, 54260, 1211, 97483, 4944, 16932, 6655, 4151, 19024, 146873, 95064, 35596, 149364, 57277, 2648, 33809, 2808, 6, 148346, 171127, 49481, 220224, 6093, 129165, 27105, 7265, 6, 148222, 45521, 93509, 15435, 65482, 17645, 110970, 12483, 1211, 6428, 33809, 26612, 6, 238144, 16803, 49481, 42493, 1470, 33809, 5666, 6319, 172398, 2882, 49481, 42493, 6, 148222, 17824, 75230, 36419, 710, 33809, 147713, 2882, 75903, 46646, 117902, 1644, 12483, 6, 68558, 163139, 2808, 6, 148222, 364, 41595, 230764, 6, 23173, 54260, 39293, 16747, 12483, 6, 148346, 14236, 12483, 4269, 54260, 2882, 6428, 33809, 25222, 4838, 147062, 5, 19024, 40920, 7746, 4151, 564, 54260, 4852, 192539, 4269, 54260, 2882, 220224, 1211, 6, 159696, 2932, 4, 25603, 26632, 6, 137218, 710, 12483, 6, 148222, 364, 41595, 3069, 31467, 2808, 1470, 30682, 705, 123736, 148346, 6093, 3523, 54260, 1211, 711, 6, 148222, 364, 41595, 39484, 31467, 12483, 165592, 26612, 3523, 26632, 33809, 2882, 6, 68558, 3069, 31467, 117641, 12483, 6, 5, 8947, 24012, 148346, 2882, 1470, 75230, 4667, 45521, 93509, 54260, 2648, 65482, 364, 41595, 6, 4, 22426, 710, 142170, 41764, 15350, 12483, 3523, 33809, 2442, 10339, 33809, 1211, 6, 238144, 96986, 4, 1470, 33809, 5666, 15864, 5666, 107581, 6, 148346, 54260, 2702, 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 ]
[ 1470, 54260, 1211, 6, 148346, 15533, 16175, 75230, 2882, 4, 165592, 905, 54260, 5332, 54260, 49008, 6, 148222, 620, 91595, 4113, 14856, 110970, 12483, 6, 148222, 51328, 13159, 4113, 1470, 33809, 5666, 8903, 148346, 145161, 29060, 13845, 75230, 18415, 4113, 4231, 33809, 710, 3523, 54260, 16803, 6428, 54260, 1211, 119055, 43178, 1470, 33809, 5666, 4231, 65482, 7508, 54260, 122623, 10339, 33809, 1211, 124724, 76961, 620, 91595, 13159, 26612, 33809, 5666, 112216, 16667, 4113, 36324, 220224, 26612, 60980, 8903, 1211, 16175, 33809, 12483, 220224, 2808, 49481, 6, 23173, 20616, 6681, 119055, 46646, 4269, 54260, 15231, 65482, 26612, 4838, 33809, 710, 6, 111684, 33716, 8248, 31467, 4667, 36324, 119718, 2808, 4, 3523, 33809, 2808, 47567, 4151, 7508, 54260, 4852, 192539, 42493, 6, 68438, 4852, 54260, 1211, 15622, 43178, 9213, 148346, 6093, 6, 148222, 17824, 75230, 36419, 364, 41595, 32, 84475, 7369, 6, 74004, 54574, 7746, 51328, 137377, 3131, 22426, 109316, 6, 105515, 6, 148222, 364, 41595, 167048, 54260, 15231, 705, 7369, 1054, 29060, 49481, 7369, 61397, 15864, 15949, 6, 4, 165592, 75230, 26612, 6, 148346, 710, 21295, 230764, 1470, 30682, 1470, 54260, 1211, 364, 33809, 13497, 163139, 2808, 6, 143409, 7369, 215594, 1470, 30682, 1470, 33809, 5666, 5666, 71577, 506, 4113, 26612, 657, 75230, 22426, 2882, 7369, 4838, 159696, 4484, 220224, 1211, 6, 159696, 2932, 1470, 33809, 5666, 36324, 7369, 119055, 29060, 7746, 43649, 109316, 1211, 144754, 4838, 5594, 2882, 7508, 54260, 26394, 1211, 4, 5332, 109316, 1211, 230764, 220224, 23269, 52059, 850, 49481, 364, 41595, 6319, 33809, 51723, 3069, 31467, 12666, 33809, 109636, 1211, 4838, 33809, 5666, 119055, 109316, 1211, 7265, 1470, 30682, 220224, 6093, 180141, 22518, 54260, 96986, 1470, 33809, 5666, 10339, 33809, 1211, 26612, 2932, 48904, 148346, 4113, 60980, 71577, 32829, 4113, 364, 41595, 3056, 1751, 159696, 2442, 7746, 6, 23173, 75230, 2702, 8300, 33809, 13982, 54260, 12483, 123736, 42023, 4838, 710, 33809, 109636, 41764, 33809, 26612, 29659, 75230, 16803, 364, 33809, 2808, 874, 54260, 1211, 32887, 4944, 16932, 119055, 46646, 6255, 874, 54260, 1211, 705, 24857, 47567, 54260, 26612, 6, 54260, 1211, 4838, 4231, 33809, 109636, 17190, 506, 25207, 36324, 364, 33809, 2808, 119055, 119273, 49920, 12483, 620, 91595, 4113, 14856, 110970, 12483, 9183, 54260, 4113, 26612, 41764, 33809, 1211, 42355, 620, 91595, 13159, 4, 220224, 2808, 6, 148346, 29060, 69859, 1644, 12483, 124724, 6, 4, 4838, 177282, 75230, 6293, 10339, 33809, 1211, 26612, 54260, 26612, 710, 4231, 71577, 7265, 220224, 2808, 6319, 54260, 1211, 1054, 171665, 33809, 26612, 42493, 4, 220224, 2808, 6, 148346, 54260, 2808, 7746, 6, 148346, 1644, 54260, 148346, 12483, 76961, 137218, 710, 6, 17645, 17645, 22426, 2882, 6, 4, 1470, 33809, 5666, 364, 33809, 2808, 364, 33809, 22426, 16803, 4151, 144754, 3069, 31467, 4113, 46646, 12483, 49481, 24377, 33056, 26612, 26612, 26612, 26612, 26612, 4838, 75230, 26612, 54745, 1211, 3523, 54260, 4852, 192539, 7508, 33809, 23741, 3069, 31467, 905, 51723, 76961, 364, 41595, 10339, 33809, 1211, 147062, 54260, 22426, 6, 17645, 22426, 75903, 40096, 7369, 163139, 1644, 874, 33809, 2882, 180141, 54260, 2882, 41764, 69596, 64567, 12483, 1470, 54260, 1211, 364, 33809, 13497, 6, 5, 4113, 26612, 171665, 3131, 6293, 16, 6, 101328, 2451, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 2808, 3944, 148346, 6093, 49920, 2442, 19024, 4484, 16932, 84087, 54260, 40920, 6655, 4838, 137218, 26612, 6, 17645, 22426, 2882, 4231, 40096, 148222, 874, 16870, 211169, 6235, 35596, 59919, 2882, 2451, 29771, 148346, 6093, 6255, 163139, 1644, 1470, 54260, 4667, 129165, 8903, 1211, 4231, 5332, 22426, 22426, 28726, 15907, 62808, 6681, 119055, 46646, 47567, 24857, 36324, 75230, 2808, 21422, 1211, 705, 76961, 14856, 110970, 12483, 41764, 119718, 26612, 710, 12483, 127731, 4667, 6681, 29659, 54260, 1211, 36324, 6, 148346, 145161, 33809, 23405, 3056, 3523, 33809, 2882, 6, 4, 3523, 33809, 2808, 119055, 20961, 33809, 2050, 9934, 21106, 12483, 4838, 54260, 26612, 159696, 1644, 12483, 6681, 23829, 8903, 1211, 1470, 33809, 5666, 6681, 506, 46646, 12483, 10676, 6, 17645, 110317, 12483, 5332, 46646, 6, 148346, 710, 71804, 29060, 4852, 18167, 705, 1054, 46646, 6681, 1644, 9221, 12483, 220224, 2808, 4151, 148346, 54260, 2808, 705, 119055, 46646, 4838, 33716, 19024, 2882, 4838, 54260, 2808, 4231, 4838, 23829, 3944, 148346, 4113, 32054, 54260, 79981, 2451, 192061, 4151, 19024, 4484, 16932, 6235, 35596, 109636, 710, 57277, 4113, 26632, 68313, 1470, 54260, 23269, 6, 21106, 18415, 10339, 25491, 23269, 4, 51328, 6255, 5, 119055, 13845, 124724, 7369, 21733, 4113, 26612, 8903, 1211, 4231, 6, 137218, 21338, 176727, 2205, 4151, 3523, 26632, 33809, 2442, 36324, 148932, 14856, 110970, 6, 59919, 143409, 2882, 4231, 40096, 76961, 38, 657, 12483, 6, 207682, 163139, 2808, 7369, 4, 4151, 364, 75230, 22426, 2882, 119055, 2808, 33809, 8947, 7508, 54196, 6, 68558, 2205, 6, 63188, 98229, 33809, 5927, 4, 140108, 3056, 24857, 141107, 22518, 37016, 32792, 4, 3523, 33809, 2808, 6, 148222, 51328, 4113, 36326, 6, 17645, 40697, 1211, 39293, 506, 12483, 36324, 6, 148222, 6235, 148346, 15350, 20315, 18415, 1157, 4944, 12483, 10339, 33809, 1211, 220224, 123073, 6, 76776, 25207, 38596, 54260, 18415, 41764, 33809, 1211, 10069, 123073, 620, 91595, 4113, 1470, 33809, 5666, 6428, 33809, 24621, 1470, 75230, 111684, 2442, 33809, 23405, 200284, 7369, 8903, 64260, 4838, 137218, 4838, 75230, 22426, 148222, 44917, 5666, 26394, 6, 148346, 145161, 33809, 23405, 6, 4, 874, 54260, 1644, 6, 148222, 6, 148346, 145161, 33809, 23405, 6, 35596, 20315, 22426, 2882, 5332, 137218, 6, 54260, 109636, 22492, 25207, 38596, 54260, 2882, 6, 4, 1470, 33809, 5666, 119055, 12483, 6428, 33809, 2808, 185143, 9424, 54260, 2882, 68891, 3069, 31467, 22426, 20961, 22426, 2882, 33809, 109226, 4838, 4113, 75230, 49209, 8903, 25207, 9424, 54260, 2882, 6, 4, 119055, 13845, 6255, 8947, 124724, 6428, 54260, 2882, 149010, 2442, 7369, 304, 44478, 12483, 26612, 23829, 22753, 2808, 134973, 12483, 24857, 6, 207682, 2451, 192061, 24857, 874, 16870, 109636, 1211, 5332, 4113, 26632, 22426, 35596, 26612, 506, 99402, 6255, 39484, 31467, 6319, 54260, 1211, 9424, 54260, 2882, 4, 51328, 1285, 874, 33809, 16932, 119055, 29060, 5332, 2808, 163139, 6, 137218, 145813, 54260, 12483, 4113, 4231, 33809, 22426, 22680, 54260, 2648, 2882, 8947, 36324, 6255, 6, 148346, 8580, 42493, 3069, 506, 75230, 4852, 6, 4, 6681, 3131, 22426, 23173, 4838, 33809, 172060, 4838, 33809, 109636, 710, 12483, 21733, 27570, 4, 6235, 25391, 54260, 12483, 4, 1470, 33809, 5666, 15864, 5666, 107581, 73256, 19302, 4113, 22426, 1470, 75230, 4667, 6, 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 ]
[ 3131, 33809, 1644, 158548, 6, 5, 148346, 54260, 2882, 220224, 6093, 74806, 80453, 4113, 4667, 163139, 2808, 9934, 75230, 2808, 24012, 49008, 22753, 22426, 6235, 25603, 109636, 1211, 4838, 26612, 26612, 2808, 6, 13497, 150839, 14081, 96986, 10339, 54260, 16747, 32792, 4, 3056, 6235, 4484, 33809, 96986, 4838, 112216, 80885, 26612, 3523, 33809, 26612, 6, 17645, 26612, 33809, 109636, 1211, 20315, 2050, 81444, 4484, 16932, 4, 7369, 364, 15907, 34076, 54260, 4667, 6235, 22680, 4113, 98833, 6, 159696, 22426, 4838, 905, 26612, 4231, 16870, 17645, 23173, 6093, 19024, 4484, 16932, 37826, 1470, 30682, 7369, 10918, 160022, 180403, 710, 74806, 41595, 4113, 5332, 6, 238144, 4838, 8580, 6, 92605, 33809, 2442, 26394, 9424, 54260, 2882, 9174, 26632, 7746, 6, 148222, 874, 16870, 4944, 12483, 6, 5, 64044, 192539, 2882, 6, 71577, 148346, 26612, 4838, 54260, 710, 1065, 2865, 95957, 6293, 16, 4231, 2451, 953, 292, 29771, 711, 6655, 4151, 32899, 82576, 150764, 2451, 2648, 46646, 60980, 1211, 205026, 32054, 54260, 12483, 711, 6255, 25603, 710, 10676, 200795, 1211, 73256, 2205, 6428, 33809, 45629, 112452, 1470, 54260, 23269, 4231, 33809, 2648, 40697, 97483, 4944, 16932, 47567, 3131, 33809, 109636, 1211, 6, 148222, 6, 148346, 145161, 33809, 23405, 4, 3523, 33809, 2808, 163139, 2808, 6235, 61541, 2882, 1470, 54260, 4667, 6, 148222, 6, 148346, 145161, 33809, 23405, 705, 6655, 35189, 10339, 59929, 16932, 24857, 874, 16870, 4944, 12483, 6235, 80453, 35596, 6, 5, 238144, 47567, 8947, 205026, 6235, 61541, 12483, 4, 364, 54260, 1644, 161459, 32899, 82576, 705, 6655, 6, 148222, 96986, 1982, 12483, 6235, 35596, 149364, 2882, 2451, 4113, 148346, 12483, 6, 148222, 3523, 2865, 149010, 163139, 2808, 874, 54260, 23269, 6, 148346, 12415, 35189, 6, 5, 26612, 199145, 6428, 54260, 185226, 9213, 46244, 4151, 144754, 3069, 31467, 220771, 12483, 705, 292, 6655, 4151, 137218, 82576, 6235, 22680, 4113, 98833, 6, 5, 2451, 44917, 69106, 6, 137218, 54260, 5666, 22426, 2808, 4667, 292, 6655, 6, 148222, 874, 16870, 4944, 12483, 6235, 35596, 59919, 2882, 292, 165592, 119718, 26612, 6, 238144, 874, 71512, 6, 148346, 12415, 35189, 6, 238144, 2702, 12483, 42493, 6, 33353, 33809, 2050, 220224, 2808, 200284, 12483, 1285, 14004, 33809, 12666, 33809, 5666, 5666, 5332, 4838, 29789, 2808, 6, 238144, 2702, 6255, 42493, 6681, 119055, 46646, 6255, 3944, 148346, 44917, 6, 148222, 22426, 33809, 12666, 33809, 23405, 6, 5, 35189, 6, 35596, 36909, 6093, 3056, 10676, 10339, 59929, 16932, 6, 54260, 6093, 6235, 61541, 12483, 6235, 159696, 1211, 6, 150839, 15907, 7265, 22639, 23173, 4838, 143409, 4113, 9424, 54260, 2882, 6681, 148346, 1982, 115536, 4, 13278, 2050, 22753, 2808, 5332, 20961, 49481, 42493, 26612, 26612, 905, 26612, 26612, 4269, 33809, 2882, 6235, 148346, 145161, 29060, 22753, 2808, 47567, 115222, 8903, 1211, 7746, 1470, 33809, 13497, 150839, 14081, 96986, 7265, 26612, 6235, 8903, 8903, 2932, 96986, 6, 133111, 163139, 2808, 4151, 32899, 82576, 6, 33353, 4, 123736, 148346, 6093, 22753, 2808, 3056, 6235, 159696, 1211, 710, 119718, 1211, 4838, 33809, 710, 19302, 33809, 2932, 6, 4, 3056, 19024, 2050, 6235, 3111, 31467, 2932, 4, 19024, 6, 26394, 23829, 48277, 850, 39484, 31467, 12483, 84087, 78683, 71577, 2882, 4231, 33809, 148346, 33809, 506, 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 ]
[ 4838, 24621, 110970, 12483, 3069, 31467, 7746, 6, 5, 8903, 22426, 41764, 2808, 82576, 6655, 9213, 46244, 6, 195054, 93704, 12483, 3069, 31467, 7746, 4, 7369, 6655, 9213, 506, 48775, 4113, 29771, 4113, 26612, 41764, 5666, 119718, 16747, 32792, 874, 101146, 6235, 159696, 1211, 6, 4, 206105, 119055, 2808, 4944, 12483, 6655, 6235, 2648, 75230, 77188, 710, 33809, 26612, 3523, 79907, 80885, 22753, 2808, 3056, 3069, 31467, 2050, 32899, 82576, 6235, 240863, 12483, 177274, 1211, 97483, 5666, 5, 7201, 33809, 1211, 4151, 6, 104038, 37826, 18225, 7746, 4151, 119718, 2808, 33809, 16803, 2205, 43649, 69859, 2882, 6, 4, 710, 33809, 26612, 1751, 33809, 18415, 710, 41764, 33809, 1211, 17824, 75230, 2702, 6681, 13982, 33809, 2702, 6655, 6235, 506, 139962, 124470, 4, 18225, 6655, 9213, 46244, 16580, 33809, 22426, 120202, 8903, 54260, 13497, 77188, 6, 4, 22753, 2808, 6655, 9213, 46244, 97483, 4944, 16932, 7369, 21733, 20616, 33716, 36324, 17645, 26612, 10339, 59929, 16932, 874, 54260, 13497, 42493, 123736, 5594, 2442, 61842, 6, 4, 3523, 33809, 2442, 7369, 874, 54260, 13497, 220224, 1211, 61842, 137218, 26612, 4231, 40096, 39384, 2808, 97483, 710, 16932, 74806, 14081, 96986, 74806, 17410, 8903, 1211, 4, 1470, 33809, 5666, 6235, 2648, 33809, 183216, 4838, 40714, 6093, 12483, 5332, 21106, 4838, 5594, 2442, 11211, 96986, 4, 123736, 148346, 6093, 4151, 144754, 3056, 49481, 7369, 61397, 6235, 119718, 20961, 12483, 6, 4, 47351, 6, 17645, 26612, 14856, 110970, 163139, 1644, 7746, 42493, 11211, 96986, 60980, 1211, 4838, 6, 119792, 42493, 4838, 54260, 5666, 54260, 96986, 905, 6, 54260, 26612, 4231, 12483, 148346, 12483, 5332, 26632, 6, 148346, 4113, 99176, 8903, 1211, 15, 2808, 22426, 8903, 23173, 2882, 16, 10676, 6, 119792, 5332, 2808, 29060, 56703, 6293, 16, 3056, 2451, 387, 292, 68313, 42572, 33809, 1211, 1470, 30682, 4838, 177282, 68561, 12483, 3069, 31467, 2050, 32899, 82576, 6, 4, 112389, 29771, 4113, 26612, 4838, 26632, 6, 75230, 26612, 1751, 75230, 1211, 53521, 2808, 174246, 3069, 31467, 2808, 4269, 54260, 1211, 1470, 364, 54260, 2050, 4, 3056, 22753, 2808, 6235, 148346, 7972, 148346, 12483, 41764, 54260, 26612, 4231, 29060, 27720, 82576, 1470, 33809, 5666, 6319, 54260, 1211, 14856, 110970, 6655, 42493, 6235, 119718, 2808, 33809, 16803, 119055, 2808, 33809, 5332, 137218, 4838, 8580, 4838, 5332, 26612, 93704, 6093, 48494, 4484, 16932, 6655, 6235, 119718, 2808, 33809, 16803, 119055, 2808, 33809, 22753, 2808, 3056, 4, 7369, 10339, 147713, 2882, 6, 68438, 3523, 33809, 26612, 14004, 46244, 4838, 506, 8580, 4, 1470, 33809, 5666, 9213, 46244, 6, 226976, 6, 210423, 6, 4, 7369, 6655, 4838, 5594, 26612, 6235, 22426, 26612, 54260, 12483, 30473, 2808, 47567, 7746, 141107, 42493, 16175, 75230, 55823, 1211, 364, 29060, 6, 21106, 7611, 198754, 21422, 1211, 5, 6, 12483, 4231, 40096, 4838, 137218, 26612, 8903, 119718, 710, 104149, 1470, 33809, 5666, 7369, 21733, 77188, 36324, 6, 148222, 200795, 6, 148346, 145161, 17310, 4838, 15533, 4231, 4838, 33809, 7972, 109636, 1211, 20315, 2050, 6, 218705, 17537, 1470, 33809, 5666, 10676, 21776, 7972, 127710, 1211, 2205, 119055, 13845, 107581, 18225, 6, 54260, 1211, 23050, 22426, 26612, 8903, 1211, 2808, 33809, 5666, 7369, 8300, 75230, 8903, 1211, 6235, 119718, 20961, 12483, 6, 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 ]
[ 10918, 23269, 7508, 54260, 2648, 6655, 23050, 2865, 115536, 230764, 9213, 46244, 4838, 4269, 238144, 12483, 4838, 54260, 29789, 905, 33809, 46985, 33809, 5666, 22753, 2808, 3056, 6235, 148346, 7972, 148346, 12483, 6, 148346, 54260, 2808, 10676, 32899, 82576, 42493, 4231, 33809, 1644, 25603, 22426, 4838, 710, 22426, 2882, 75230, 55823, 1211, 3523, 33809, 2442, 3069, 31467, 2808, 212632, 163139, 36419, 191538, 23741, 12483, 6, 4, 4151, 41764, 2808, 80885, 26612, 4231, 40096, 4838, 137218, 29771, 46590, 33809, 206105, 73256, 6681, 8903, 99176, 8903, 1211, 22753, 2808, 5950, 22753, 22426, 16175, 75230, 109636, 1211, 5332, 5332, 137218, 29771, 148346, 6093, 6655, 42493, 6235, 122165, 2882, 1470, 33809, 5666, 6655, 1470, 30682, 177274, 2702, 123736, 21106, 6235, 76632, 109636, 198093, 168892, 39484, 31467, 49481, 6235, 3111, 31467, 2932, 9424, 54260, 2882, 7746, 7544, 54343, 3069, 31467, 2808, 6, 148346, 8580, 4838, 33809, 5666, 6, 17645, 16580, 29789, 12483, 2808, 75230, 148346, 6255, 47567, 24857, 6, 207682, 6, 5, 148222, 874, 16870, 107581, 6150, 6, 148346, 23829, 10676, 32899, 82576, 6235, 22426, 7972, 109636, 1211, 4838, 71804, 23405, 21660, 54260, 2882, 2205, 364, 75230, 4852, 4, 6, 148222, 6, 117404, 10339, 33809, 1211, 9213, 506, 25207, 895, 16932, 1211, 119055, 26632, 5332, 54260, 26612, 4231, 71577, 12483, 171433, 8903, 159696, 16747, 29060, 9213, 46244, 3069, 31467, 8903, 7916, 49008, 6655, 204982, 6235, 506, 14081, 36909, 12483, 5332, 6, 54260, 26612, 6, 17645, 22426, 54260, 1211, 192061, 6319, 54260, 1211, 3069, 31467, 23822, 75230, 2808, 174246, 3069, 31467, 9213, 506, 25207, 895, 16932, 12483, 4, 6, 47351, 5332, 137218, 15622, 109316, 1211, 14004, 46244, 7243, 6, 207682, 4, 22753, 2808, 6655, 6235, 25207, 4944, 35596, 36324, 220224, 119055, 29060, 6319, 33809, 51723, 6, 17645, 148346, 2882, 8300, 33809, 2808, 364, 75230, 4852, 119055, 109316, 1211, 9213, 46244, 6, 148222, 895, 16932, 12483, 6235, 119718, 21292, 620, 226976, 6, 148346, 8580, 4231, 33809, 2882, 16175, 75230, 28320, 2442, 20961, 33809, 2050, 119055, 20961, 6319, 54260, 1211, 3523, 33809, 26394, 1211, 119055, 46646, 21422, 2808, 39484, 31467, 12483, 22753, 22426, 6235, 71804, 29060, 21374, 21087, 12483, 46590, 6, 117404, 4113, 1470, 33809, 5666, 6235, 50853, 9213, 46244, 10339, 33809, 1211, 140108, 3069, 31467, 6, 148346, 37016, 33809, 51723, 4838, 95766, 43649, 69859, 2882, 6655, 18225, 4151, 506, 77188, 6, 148222, 74806, 33809, 22426, 18415, 4231, 29060, 4838, 33809, 76776, 21847, 7682, 10339, 33809, 1211, 34076, 7682, 133111, 6, 4, 24012, 49008, 6, 148222, 895, 16932, 4113, 14856, 110970, 12483, 10339, 33809, 1211, 145813, 54260, 2882, 8903, 22492, 2932, 8903, 1211, 7265, 34076, 7682, 133111, 3069, 31467, 2050, 19024, 4484, 16932, 1470, 30682, 6, 54260, 96986, 6, 47351, 6, 12483, 5332, 26612, 15533, 20616, 1211, 3069, 31467, 48494, 18415, 159696, 1211, 6, 148222, 874, 16870, 4944, 12483, 4, 4151, 19024, 146873, 26612, 4231, 40096, 6235, 76632, 22426, 22426, 54260, 6, 20616, 77188, 3523, 105330, 51723, 711, 9213, 46244, 4838, 79981, 42493, 1751, 33809, 50853, 24295, 9213, 148346, 12483, 4838, 54260, 4113, 17645, 6, 54260, 7511, 26612, 4113, 132, 2865, 95957, 6293, 16, 6, 17645, 2451, 952, 292, 47351, 9213, 46244, 5332, 158291, 220224, 2808, 6235, 170098, 2882, 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 ]
[ 148346, 145161, 12483, 7265, 4838, 4269, 33809, 96986, 68248, 1054, 158291, 7201, 54260, 6093, 32887, 4944, 16932, 42493, 6319, 33809, 51723, 4151, 8300, 33809, 6, 4, 137765, 6, 4, 152036, 6, 21106, 54260, 1211, 6, 5, 6, 159696, 24152, 47351, 1470, 54260, 4667, 45223, 55823, 1211, 705, 1470, 33809, 5666, 119055, 6093, 3056, 18895, 33809, 16011, 7746, 6, 210423, 97614, 3069, 31467, 54595, 54260, 1211, 9213, 148346, 6093, 1470, 54260, 123073, 6428, 33809, 7758, 54260, 96986, 6, 4, 36324, 9213, 46244, 6681, 29659, 54260, 2882, 42493, 119055, 46646, 2808, 33809, 5666, 6, 238144, 3069, 31467, 2808, 6, 148346, 145161, 12483, 1470, 54260, 123073, 114955, 6, 4, 9213, 46244, 9174, 2808, 22426, 2882, 7746, 49481, 20315, 1211, 9424, 54260, 2882, 4, 9213, 46244, 163139, 21295, 1470, 54260, 16667, 10339, 33809, 1211, 6, 148222, 3069, 5666, 54260, 2808, 4, 84475, 1470, 75230, 7201, 171665, 170098, 8580, 4484, 14081, 18415, 6319, 75230, 1644, 12483, 119055, 46646, 220224, 2808, 220224, 49008, 1751, 75230, 1211, 1157, 5666, 5666, 110573, 20961, 17410, 4944, 12483, 6, 4, 84475, 26612, 42493, 163139, 21295, 9213, 46244, 6681, 28726, 3131, 12483, 4838, 6, 148346, 189623, 141943, 13159, 110573, 17410, 2050, 10339, 54260, 6093, 4, 7201, 23173, 29659, 54260, 2882, 9213, 46244, 119055, 46646, 6255, 874, 54260, 1211, 6, 4, 6255, 119055, 13845, 1470, 54260, 4667, 7369, 21733, 20616, 25207, 1211, 71577, 54260, 13845, 6428, 54260, 2882, 149010, 2442, 152, 114955, 119055, 46646, 16175, 75230, 8903, 1211, 51328, 3069, 31467, 2808, 42355, 6, 148346, 13845, 77578, 26612, 72402, 5332, 163139, 21295, 9213, 46244, 6, 87311, 4944, 12483, 6681, 25093, 31467, 12130, 1470, 33809, 5666, 114955, 119055, 182879, 905, 21106, 96986, 6, 76776, 134973, 12483, 84087, 3523, 33809, 26394, 1211, 6, 148346, 2442, 54260, 183216, 6681, 6, 148222, 49027, 2882, 6, 4, 163139, 1644, 57277, 5594, 26612, 6681, 29659, 75230, 2702, 12483, 4, 3523, 54260, 1211, 3944, 148346, 6093, 3523, 105330, 133111, 4, 36324, 75230, 2808, 163139, 2808, 9213, 46244, 163139, 21295, 71804, 64260, 4838, 710, 33809, 42493, 10184, 46244, 12483, 230764, 4151, 6, 159696, 21295, 6, 4, 18225, 874, 33809, 4852, 6, 207682, 163139, 2808, 8947, 1644, 165592, 2882, 8248, 31467, 17645, 51328, 10339, 33809, 1211, 6428, 119273, 159696, 8903, 1211, 6655, 1470, 30682, 4151, 19024, 4484, 16932, 6681, 3131, 22426, 76776, 710, 12483, 36324, 7369, 119055, 29060, 55242, 42023, 4838, 7265, 13845, 163139, 2808, 3069, 31467, 2808, 48494, 18415, 159696, 1211, 6, 148222, 24621, 29789, 12483, 1470, 33809, 7369, 6655, 9213, 3149, 2050, 6, 148346, 6093, 33809, 506, 176727, 7265, 6, 33809, 18415, 46711, 54260, 16803, 33809, 76776, 33809, 5666, 7265, 4231, 43649, 23173, 165354, 14779, 110968, 31467, 23405, 6, 5, 2808, 33809, 5666, 4151, 19024, 4484, 16932, 3056, 230764, 874, 48340, 12483, 40026, 506, 4269, 32792, 1470, 159696, 4484, 8903, 240863, 12483, 3069, 31467, 2050, 41764, 2808, 82576, 1470, 33809, 5666, 6655, 6, 148222, 874, 16870, 4944, 12483, 6681, 3131, 80453, 2808, 4944, 12483, 47351, 6, 12483, 119055, 29060, 9213, 46244, 364, 21106, 96986, 6, 148346, 54260, 2808, 7746, 3069, 31467, 364, 75230, 4852, 6, 4, 24857, 6319, 54260, 1211, 874, 43178, 16629, 29060, 42493, 163139, 2702, 12483, 1470, 75230, 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 ]
[ 22753, 2808, 3056, 6, 148346, 54260, 2808, 1470, 30682, 4, 7369, 119055, 29060, 9213, 46244, 123736, 148346, 8903, 148346, 12483, 6, 71577, 23173, 31249, 46646, 65482, 2050, 21422, 46685, 4, 22753, 2808, 47567, 140108, 51678, 212632, 6, 4, 26612, 33809, 5666, 41764, 75230, 26612, 112389, 2882, 119055, 29060, 22753, 2808, 7746, 6681, 21733, 54260, 20315, 1211, 1470, 33809, 5666, 41764, 43590, 25207, 1211, 7265, 26612, 54260, 2882, 145813, 26612, 138194, 12483, 6, 4, 1470, 33809, 5666, 8947, 119055, 29060, 9213, 46244, 220224, 1211, 64890, 69106, 3523, 33809, 2882, 6, 4, 6, 148346, 13159, 6093, 26612, 54260, 26612, 41764, 54260, 26612, 10676, 10339, 59929, 16932, 4, 4151, 19024, 4484, 16932, 6655, 24857, 23050, 96986, 4, 6, 238144, 1644, 12483, 4231, 40096, 1470, 119718, 710, 42493, 6235, 23822, 75230, 2882, 6, 148222, 874, 16870, 4944, 12483, 4, 41764, 710, 29259, 710, 40920, 16175, 75230, 23741, 8248, 2808, 29789, 22426, 6, 137218, 15907, 5332, 1470, 33809, 2442, 6, 148222, 18225, 165354, 6655, 123736, 65405, 2050, 6235, 145168, 13497, 1470, 33809, 5666, 3056, 63593, 171665, 3131, 6293, 16, 7265, 2451, 1039, 292, 144754, 1470, 30682, 6235, 185337, 12483, 1470, 33809, 5666, 4151, 19024, 4484, 16932, 6655, 7369, 22426, 33809, 21295, 76961, 4838, 71577, 6093, 6655, 9213, 46244, 6681, 3131, 80453, 2808, 4944, 12483, 1470, 33809, 5666, 58826, 3056, 6235, 148346, 7972, 148346, 12483, 3523, 137218, 6, 54260, 2050, 8300, 33809, 2808, 364, 75230, 4852, 4838, 143409, 4113, 9424, 54260, 2882, 6, 5, 4852, 35189, 17190, 46244, 6093, 35189, 4231, 33809, 23405, 6093, 34076, 7682, 133111, 6655, 6, 23173, 54260, 5666, 8903, 186145, 96986, 2205, 4838, 1751, 33809, 28726, 5332, 159696, 2442, 60980, 1211, 7746, 137765, 93975, 9424, 54260, 96986, 6681, 105235, 1644, 12483, 42355, 4231, 34079, 22426, 4838, 33809, 5666, 4838, 710, 21106, 88945, 1211, 5332, 46646, 6, 148222, 4231, 33809, 2648, 40697, 7213, 44478, 39484, 31467, 12483, 6235, 7972, 96986, 2205, 4838, 3131, 33809, 1644, 73381, 33809, 1211, 6, 21106, 28726, 220224, 96986, 2205, 4269, 54260, 16803, 1470, 33809, 5666, 2205, 6, 75290, 149364, 5332, 4231, 171428, 9424, 75230, 96986, 85465, 148346, 12483, 6, 148222, 4231, 33809, 20315, 1211, 45521, 48775, 40920, 29060, 4838, 7213, 44478, 6, 4, 364, 71577, 12483, 4838, 26612, 15907, 8903, 506, 21106, 96986, 6681, 10676, 17824, 13159, 96986, 24012, 35189, 171127, 12483, 14856, 110970, 12483, 4, 112216, 1211, 4838, 2808, 75230, 2702, 119718, 14004, 63020, 6, 4, 6681, 6, 148222, 29566, 152848, 10676, 4231, 33809, 2648, 35596, 506, 33809, 36258, 5332, 119055, 40096, 112216, 26612, 4838, 48904, 39293, 42023, 6655, 7369, 174246, 705, 4838, 22518, 37016, 36324, 20033, 7369, 905, 33809, 61397, 33809, 1211, 22753, 22426, 1211, 18225, 4852, 14081, 6235, 148346, 12483, 4838, 6, 148346, 105330, 163139, 2808, 5332, 56169, 2205, 6, 148222, 9424, 54260, 2882, 41764, 2808, 25207, 152848, 148346, 2882, 6235, 3111, 26612, 17645, 47351, 17645, 35189, 4231, 33809, 2648, 27855, 56169, 7746, 115825, 21733, 98071, 4667, 119055, 12483, 7369, 55242, 506, 2882, 6, 76776, 26612, 36324, 5332, 54260, 1211, 4838, 71577, 1211, 2865, 115536, 4269, 33809, 18415, 6681, 25391, 710, 18415, 2205, 4838, 1751, 33809, 28726, 4, 119055, 12483, 220224, 1211, 8248, 31467, 46244, 16175, 71577 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6235, 1211, 39293, 139962, 145702, 6, 5, 7265, 10676, 110573, 2442, 34533, 149010, 1211, 192544, 6, 4, 148932, 41764, 2808, 18415, 22426, 5332, 4113, 71577, 144754, 76961, 14856, 97594, 4944, 4484, 54260, 2882, 3069, 31467, 2808, 67826, 2882, 26394, 1211, 42355, 8248, 31467, 22426, 1211, 6, 12483, 5332, 21106, 6319, 71577, 12483, 28714, 4944, 12483, 6681, 25391, 710, 18415, 2205, 4838, 1751, 33809, 28726, 4, 7369, 4852, 14081, 42493, 14779, 109636, 1211, 4231, 119718, 1211, 1751, 109636, 26612, 33809, 22426, 2932, 8300, 33809, 2808, 220224, 1211, 43649, 33809, 79761, 12483, 4, 2205, 6, 148222, 9424, 54260, 2882, 119055, 34322, 34076, 33809, 20911, 17537, 4838, 8580, 6, 71577, 119718, 1211, 4838, 8580, 3131, 33809, 1644, 4, 119055, 20961, 141107, 9424, 22492, 83182, 4269, 54260, 16803, 6, 148346, 54260, 2808, 6, 148222, 4231, 33809, 20315, 1211, 5332, 6, 12483, 4231, 40096, 42493, 8903, 192061, 6428, 13159, 34076, 7682, 4151, 8300, 33809, 2808, 36324, 18225, 47567, 6, 4, 4852, 33809, 4667, 41764, 22426, 54260, 710, 7265, 34654, 1211, 75290, 8903, 1211, 6, 5, 6235, 39293, 139962, 145702, 12483, 3069, 31467, 2808, 67826, 2882, 26394, 1211, 180403, 6, 148346, 145161, 33809, 23405, 4838, 75230, 26612, 15622, 54260, 2882, 68313, 19024, 2205, 41764, 29060, 93497, 148346, 33809, 48974, 1470, 33809, 5666, 2205, 221895, 4269, 148346, 905, 33809, 36419, 43649, 16870, 2882, 4838, 905, 26612, 17645, 48904, 2808, 4667, 54745, 16667, 2882, 122165, 42493, 3069, 31467, 39293, 42023, 6, 148346, 54260, 2808, 6, 148222, 4231, 33809, 20315, 1211, 5332, 2205, 6235, 8903, 26612, 54260, 54260, 77578, 35189, 4231, 33809, 2648, 6655, 6235, 506, 14081, 96986, 6681, 4838, 874, 25605, 1470, 33809, 5666, 41764, 20961, 4838, 15622, 5666, 4231, 33809, 710, 132, 2865, 95957, 6293, 16, 6, 105235, 75230, 1211, 31, 1105, 292, 3131, 16932, 12483, 10676, 7213, 44478, 110573, 10069, 7369, 5950, 39484, 31467, 12483, 6, 147185, 6, 5, 7369, 170479, 42493, 46985, 8903, 1211, 43649, 33809, 79761, 12483, 4, 15864, 5666, 107581, 7213, 44478, 39484, 31467, 12483, 54745, 16667, 2882, 122165, 123736, 46590, 33809, 1470, 75230, 4667, 8903, 192061, 34076, 7682, 3069, 31467, 6235, 7511, 4944, 12483, 6428, 33809, 81455, 6, 148346, 145161, 33809, 23405, 10339, 33809, 1211, 4838, 131397, 4113, 4, 220224, 2808, 151614, 148346, 12483, 4852, 33809, 4667, 7369, 61397, 2882, 10339, 33809, 1211, 43649, 33809, 16747, 12483, 6235, 148346, 12483, 6, 4, 15864, 2932, 107581, 4269, 33809, 18415, 7213, 44478, 39484, 31467, 12483, 8903, 22426, 26632, 67826, 26394, 10184, 4151, 905, 76632, 2442, 33809, 23405, 4, 4231, 15864, 5666, 107581, 10339, 33809, 1211, 220224, 123073, 6, 148346, 12415, 35189, 132, 26612, 75230, 22426, 10339, 33809, 1211, 7213, 44478, 119055, 46646, 220224, 2808, 39484, 31467, 12483, 6235, 119718, 2808, 33809, 16803, 6, 148222, 3523, 75230, 96986, 10339, 33809, 1211, 4113, 54260, 4113, 8903, 6, 148346, 12415, 35189, 16, 4151, 34076, 7682, 133111, 1470, 148346, 6093, 6655, 24857, 51328, 42493, 6235, 4852, 33809, 22426, 96986, 41764, 147713, 2882, 51328, 212632, 6, 4, 2190, 5666, 36324, 6, 148222, 17190, 46244, 6093, 39484, 31467, 12483, 24857, 710, 29060, 22426, 115536, 151614, 148346, 12483, 9934, 75230, 2808, 6, 21106, 54260, 1211, 7746, 7369, 905, 87442, 3069, 31467, 67826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26394, 1211, 10676, 29766, 4113, 51723, 1054, 6, 100863, 33809, 4484, 133111, 6, 4, 220224, 2808, 151614, 148346, 12483, 6235, 39293, 42023, 7369, 620, 39484, 31467, 12483, 42355, 4113, 40096, 148346, 12483, 4113, 4667, 160687, 49008, 17190, 148346, 172398, 144754, 13845, 6, 5, 21847, 20911, 17537, 37826, 55242, 46244, 162726, 54260, 2702, 24295, 6235, 44478, 35596, 1470, 33809, 5666, 24857, 5332, 20961, 6, 109995, 76776, 113889, 4113, 26612, 905, 4231, 141847, 76632, 49008, 152, 44917, 2648, 5666, 36324, 7369, 6655, 7746, 7369, 2442, 127684, 2882, 123736, 42023, 1285, 23269, 29789, 18415, 710, 12483, 4113, 230764, 220224, 6093, 22518, 37016, 149010, 2442, 1157, 8903, 10339, 147713, 2882, 1470, 30682, 119055, 6093, 12483, 220224, 6093, 2808, 33809, 109636, 2882, 24295, 6, 4, 6, 148222, 6235, 181692, 165354, 39484, 31467, 12483, 1470, 30682, 3069, 31467, 9719, 29659, 76961, 220224, 23269, 8903, 22492, 20260, 12483, 4113, 24857, 6655, 1470, 30682, 84087, 73256, 74806, 16932, 2882, 10339, 33809, 1211, 212632, 6, 4, 7369, 22426, 17645, 98833, 220224, 12483, 1470, 33809, 5666, 19302, 20616, 25207, 1211, 119055, 46646, 119055, 77188, 10339, 33809, 1211, 1470, 30682, 6, 238197, 3069, 31467, 2808, 119718, 710, 39293, 5332, 7369, 364, 15907, 7746, 6681, 190135, 905, 163139, 2808, 6, 148222, 874, 33809, 16932, 6, 238144, 13497, 1470, 33809, 7511, 71804, 25222, 6, 12483, 1470, 33809, 2442, 46654, 33809, 40920, 10676, 169532, 1054, 46646, 22753, 2808, 3056, 6235, 148346, 29766, 12483, 23050, 4113, 20961, 12483, 2442, 33809, 58826, 109636, 1211, 36324, 13845, 107581, 6, 147185, 4, 7369, 6655, 7746, 6681, 190135, 163139, 2808, 4151, 710, 92605, 109636, 22426, 1211, 6655, 6319, 54260, 1211, 50963, 33809, 32184, 10339, 33809, 1211, 9213, 46244, 4, 22753, 2808, 6681, 28714, 16932, 2882, 1470, 30682, 6, 4, 12483, 4231, 40096, 5332, 119718, 710, 36419, 24012, 80453, 710, 26632, 22492, 16803, 4, 1054, 54260, 1644, 22753, 2808, 6655, 221387, 84087, 15864, 71804, 75230, 26612, 54745, 26612, 44917, 146873, 22426, 37826, 6235, 8903, 148346, 12483, 5332, 25605, 10676, 32899, 16932, 36324, 7369, 47567, 2882, 54260, 6, 137218, 8903, 1211, 6, 148346, 145161, 12483, 1470, 33809, 5666, 20033, 4838, 159696, 47063, 7682, 12483, 2205, 4838, 1751, 33809, 54574, 4, 4151, 8300, 33809, 14004, 40096, 34076, 4484, 133111, 221387, 36324, 220224, 1211, 1470, 54260, 109985, 4113, 27855, 13159, 16932, 6655, 7746, 17645, 22426, 2808, 33809, 22426, 2882, 64769, 1644, 33809, 20911, 17537, 364, 15907, 6235, 141943, 41595, 41764, 710, 47890, 19302, 46646, 12483, 10339, 33809, 1211, 6, 148222, 1751, 33809, 54574, 4, 6, 123073, 26612, 95957, 6293, 1211, 2205, 2451, 744, 292, 68313, 1470, 148346, 6093, 6235, 4113, 20961, 12483, 15864, 61397, 1470, 33809, 5666, 30109, 54260, 20260, 32792, 6, 5, 8947, 3056, 5332, 54260, 4113, 26612, 1751, 159696, 26612, 8300, 33809, 2808, 6, 23173, 148346, 54260, 96986, 2205, 212632, 7265, 6, 89930, 1470, 33809, 5666, 7265, 6, 139485, 33809, 17645, 5332, 26612, 54260, 12483, 6093, 9174, 26632, 7746, 6, 148346, 79238, 17410, 2702, 12483, 3069, 31467, 2808, 117641, 8903, 1211, 6, 148222, 19024, 20911, 30473, 75230, 2050, 6, 137218, 23093, 29771, 148346, 12483, 1470, 30682, 6235, 8903, 148346, 12483, 5332, 25605, 36324, 7369, 874, 33809, 4852, 6428, 33809, 2442, 51172, 75230, 2702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4838, 4113, 37016, 3111, 26612, 71577, 47351, 10918, 1211, 43649, 33809, 79761, 8580, 4, 4151, 17190, 148346, 12483, 3056, 6, 148346, 54260, 2808, 177274, 1211, 14856, 110970, 12483, 220224, 6093, 6, 21292, 159696, 26612, 8009, 6093, 17824, 13159, 16932, 34076, 7682, 3056, 17190, 148346, 12483, 6, 4, 1470, 33809, 5666, 5332, 46646, 3056, 6428, 1470, 6, 109636, 33809, 54260, 42493, 26612, 1751, 119718, 2808, 4944, 12483, 6, 75290, 149364, 874, 33809, 4852, 7508, 33809, 506, 151614, 148346, 12483, 4, 36324, 75230, 2808, 6655, 34076, 7682, 212915, 6, 109636, 26612, 21106, 2808, 104149, 6, 148222, 1751, 33809, 506, 28726, 6, 4, 8947, 119055, 20961, 1470, 30682, 4838, 46590, 33809, 220224, 6093, 1751, 159696, 26612, 4838, 33809, 5666, 31249, 91595, 3069, 31467, 8903, 39293, 8903, 49008, 7746, 7265, 6, 148222, 17190, 46244, 6093, 6, 4, 123736, 148346, 6093, 3523, 54260, 2882, 3069, 31467, 40096, 2808, 4944, 12483, 4, 7369, 3056, 4838, 159696, 4484, 23269, 27720, 46244, 12483, 2205, 4151, 43649, 69859, 2882, 68891, 4113, 6, 12483, 364, 40096, 4852, 18167, 140108, 6, 148346, 54595, 21660, 2882, 1470, 33809, 5666, 7369, 3056, 6428, 99766, 12483, 6235, 119718, 20961, 12483, 76961, 506, 17645, 26612, 5332, 95766, 4151, 43649, 69859, 2882, 17741, 25207, 5332, 20961, 657, 54260, 40920, 3069, 31467, 2808, 220224, 1211, 76961, 46244, 6093, 5332, 6235, 1211, 4231, 40096, 8903, 148346, 15529, 40920, 4151, 8300, 33809, 6, 238144, 110317, 6, 23173, 148346, 54260, 96986, 6, 4, 6, 64260, 163139, 21066, 54745, 4667, 4231, 40096, 6, 137218, 71577, 8903, 44478, 35596, 7265, 6, 54260, 23269, 7213, 44478, 119055, 20961, 6235, 3111, 31467, 2932, 4, 5332, 54260, 1644, 33414, 25207, 119055, 23173, 4838, 2932, 2932, 75230, 4113, 4113, 29659, 69859, 18415, 1644, 1470, 33809, 5666, 6, 148222, 1470, 54260, 5666, 119718, 2808, 75230, 59461, 119055, 20961, 12483, 76961, 118439, 448, 4231, 3523, 33809, 26612, 4231, 40096, 68313, 1751, 75230, 1211, 6, 143409, 6, 148346, 37016, 62067, 163139, 2808, 4838, 21733, 54260, 23269, 53636, 2648, 40697, 6, 105235, 29060, 1644, 41764, 33809, 26612, 64260, 18167, 4, 20033, 6, 148346, 15529, 4944, 12483, 8947, 42493, 3069, 31467, 1751, 145161, 53414, 6235, 119718, 2808, 75230, 100863, 33809, 148346, 5332, 54260, 2702, 6, 17645, 17645, 26612, 165592, 18225, 6, 148346, 2442, 75230, 4667, 1470, 30682, 42493, 3069, 31467, 7369, 8300, 54260, 1644, 12483, 4, 36324, 3523, 105330, 212915, 6, 54260, 1211, 4838, 6, 54260, 1211, 8903, 4484, 51723, 6655, 7369, 6, 148346, 54260, 2808, 220224, 2808, 42493, 36324, 75230, 2808, 1751, 57277, 24152, 20632, 95494, 6, 54260, 6235, 26612, 33809, 12483, 48904, 20961, 7369, 3523, 33353, 220224, 6093, 19302, 33809, 5666, 6, 5, 6655, 7369, 7746, 34076, 54260, 4667, 6, 148346, 92605, 35596, 874, 33809, 18415, 2882, 192956, 6, 148346, 13845, 710, 6, 148346, 124470, 448, 6, 4, 1054, 46646, 151614, 148346, 12483, 174246, 6319, 141847, 29789, 3069, 31467, 8903, 148346, 12483, 44478, 49008, 1470, 33809, 5666, 7265, 6, 54260, 1211, 4269, 17410, 96986, 3069, 31467, 23405, 6655, 7369, 220224, 1211, 118692, 28726, 15907, 6, 238144, 5666, 54260, 15231, 2932, 8947, 3056, 137765, 93975, 9424, 54260, 2882, 3069, 31467, 6235, 148346, 12483, 4838, 192544, 6, 148346, 54260, 26612, 76961, 26612, 17645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 710, 4838, 13342, 44478, 49008, 22518, 54260, 148346, 12483, 1470, 33809, 5666, 17190, 104149, 1470, 33809, 5666, 3069, 31467, 4484, 171428, 6, 148222, 4838, 152848, 22426, 26612, 3131, 22426, 26612, 71577, 26612, 6093, 6655, 7265, 220224, 2808, 36324, 75230, 2808, 1157, 5666, 5666, 6, 61397, 29060, 4, 6, 148346, 15533, 6, 29060, 28726, 109636, 41764, 69336, 41764, 22426, 33809, 2882, 7201, 33809, 1211, 11211, 25207, 220224, 49008, 3069, 31467, 211630, 12483, 6235, 4113, 20961, 12483, 4838, 65405, 2050, 120202, 8300, 33809, 8903, 109636, 1211, 5332, 54260, 4113, 26612, 37016, 710, 83182, 212632, 6, 4, 1470, 33809, 5666, 7265, 4151, 9424, 54260, 2882, 37826, 7369, 6, 137218, 15907, 6, 119859, 7511, 4269, 33809, 2882, 8903, 28726, 148346, 2882, 4, 7369, 6655, 7746, 6235, 148346, 13159, 77188, 2205, 6235, 4852, 33809, 16747, 1470, 33809, 5666, 4231, 40096, 117902, 29060, 6, 47351, 21106, 4113, 22753, 4113, 4113, 6, 21106, 18415, 6, 147185, 6681, 8903, 2702, 12483, 6, 5, 132, 2865, 95957, 6293, 16, 2205, 2451, 714, 292, 3149, 5, 21106, 7611, 119490, 10498, 98071, 2050, 6, 5, 95766, 33414, 25207, 6655, 6235, 119718, 2808, 75230, 13497, 4838, 6, 148346, 13845, 364, 148346, 2754, 119055, 46646, 6655, 174246, 40096, 62067, 6093, 41764, 33809, 1211, 4838, 58826, 46244, 55242, 4944, 26394, 42023, 22753, 2808, 3056, 1470, 75230, 4667, 6235, 185337, 12483, 212632, 2808, 33809, 1211, 145813, 54260, 148346, 12483, 6, 148346, 54260, 2808, 10676, 17190, 46244, 6093, 9213, 46244, 32899, 16932, 1751, 104274, 133111, 119055, 48340, 119718, 33809, 101608, 6235, 36326, 22426, 125830, 2702, 17537, 1470, 33809, 5666, 6655, 42493, 6235, 4484, 62067, 1470, 75230, 221704, 54260, 148346, 12483, 21422, 1211, 5666, 71577, 12483, 4, 6, 141353, 33809, 2050, 6655, 7369, 6235, 8903, 148346, 12483, 6, 148346, 145161, 12483, 220224, 1211, 32887, 4944, 16932, 58826, 170479, 78683, 49008, 9213, 46244, 44917, 51723, 4838, 609, 2865, 171428, 4, 6, 148222, 874, 16870, 4944, 12483, 6655, 174246, 4269, 33809, 18415, 22426, 54260, 2808, 33809, 2932, 4484, 75230, 96986, 3069, 31467, 2050, 212632, 4, 22753, 2808, 6655, 1751, 75230, 1211, 110573, 107182, 6235, 4484, 62067, 22518, 54260, 148346, 12483, 26612, 6, 61397, 33809, 2882, 3069, 31467, 4838, 14856, 110970, 12483, 4, 22753, 2808, 23292, 20961, 4151, 8300, 33809, 44917, 69106, 1751, 54260, 1211, 123736, 148346, 6093, 42493, 165592, 75230, 2808, 180141, 19302, 33809, 2932, 6, 4, 4151, 17190, 46244, 6093, 6655, 9213, 46244, 4269, 33809, 2882, 1470, 33809, 194734, 120749, 6, 4, 75230, 26612, 6655, 3523, 54260, 4113, 6235, 39293, 139962, 145702, 115222, 8903, 1211, 6235, 44478, 35596, 6, 4, 3523, 54260, 4113, 3373, 13458, 124470, 850, 6, 4, 17645, 10069, 12483, 119055, 59929, 6235, 7916, 49008, 7746, 2205, 148932, 191069, 4, 6, 75230, 2808, 1470, 75230, 2702, 22492, 506, 24621, 2808, 33809, 5666, 120202, 8903, 4852, 33809, 83182, 2882, 10339, 33809, 1211, 76961, 6, 238144, 148346, 149010, 1211, 74806, 1644, 91595, 7611, 1054, 46646, 6235, 7916, 49008, 75230, 22426, 2205, 43649, 69859, 2882, 4, 21422, 2808, 39484, 31467, 12483, 150764, 874, 33809, 49268, 1751, 104274, 2865, 123844, 97483, 4944, 16932, 22426, 2808, 26612, 119055, 46646, 22753, 2808, 3523, 54260, 2882, 42493, 49481, 6, 148222, 3523, 54260, 4113, 30842, 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 ]
[ 4, 24857, 3056, 1751, 75230, 1211, 71804, 23405, 4231, 37016, 62067, 36324, 3069, 31467, 2050, 620, 91595, 13159, 6, 170098, 2882, 18225, 7746, 64890, 2932, 7611, 4269, 18167, 4838, 42023, 54260, 54260, 12483, 4113, 22753, 2808, 9174, 26632, 132025, 8903, 27720, 183216, 7746, 3069, 31467, 111684, 25207, 1211, 220224, 6093, 32054, 54260, 2808, 4, 3069, 31467, 2808, 26612, 33809, 49008, 4231, 12483, 81371, 8903, 1211, 6, 4, 3523, 54260, 1211, 49481, 6, 148222, 3523, 54260, 4113, 68273, 4113, 6, 4, 4269, 54260, 1211, 145813, 2808, 138194, 12483, 26612, 33809, 5666, 5332, 46646, 34076, 54260, 148346, 12483, 119055, 46646, 18225, 60980, 1211, 6, 148346, 20616, 75230, 22426, 96986, 2205, 36324, 2808, 43649, 16870, 175221, 4, 20315, 1211, 17190, 46244, 6093, 163139, 35189, 6655, 9213, 46244, 220224, 6093, 32054, 54260, 16747, 32792, 6, 148346, 20616, 64567, 20315, 21295, 6, 4, 12483, 4231, 26632, 5332, 54260, 16870, 3523, 33809, 2882, 6, 59919, 29659, 226976, 7265, 9213, 46244, 7746, 3069, 31467, 2808, 1470, 33809, 13497, 89184, 21106, 109636, 1211, 5332, 58826, 710, 12483, 9213, 46244, 6, 148222, 1751, 93047, 18415, 173102, 22426, 7972, 2702, 35596, 12483, 6, 148346, 710, 170355, 137218, 4231, 40096, 8248, 31467, 4667, 3069, 31467, 2808, 2808, 30682, 3069, 31467, 2932, 21660, 75230, 8903, 1211, 163139, 2808, 1470, 54260, 104149, 3069, 31467, 2808, 4838, 3373, 122978, 29060, 4, 29060, 4838, 8580, 6319, 54260, 1211, 119055, 2808, 33809, 83182, 36324, 6, 148222, 874, 16870, 4944, 12483, 6655, 8248, 31467, 4667, 74806, 21660, 2882, 100863, 33809, 22426, 1644, 33809, 22426, 3069, 31467, 41764, 20961, 148346, 12415, 183216, 7265, 10676, 17190, 46244, 6093, 6, 4, 4231, 65482, 37826, 24012, 122165, 2702, 8903, 506, 4113, 15907, 4231, 3523, 33809, 2882, 119055, 101503, 10339, 33809, 1211, 9213, 506, 8903, 895, 16932, 12483, 4, 10676, 41764, 2808, 16932, 6655, 63593, 56703, 6293, 16, 22753, 2808, 2451, 1381, 292, 127731, 1054, 54260, 7511, 5666, 6235, 4484, 62067, 6, 4, 6, 238144, 1644, 7369, 119055, 20961, 6, 238144, 110317, 3069, 31467, 506, 75230, 1211, 4, 6, 12483, 4231, 109636, 98833, 4838, 12483, 29771, 710, 46685, 2205, 241304, 1470, 33809, 5666, 10339, 147713, 2882, 123736, 23741, 41764, 43590, 25207, 1211, 3069, 31467, 2050, 4269, 22426, 33809, 1211, 41764, 24621, 129891, 21660, 850, 2205, 4269, 186565, 850, 1470, 33809, 5666, 2205, 7508, 33809, 3149, 27548, 6, 4, 1470, 33809, 5666, 36324, 7369, 162726, 35596, 6319, 33809, 96986, 8300, 33809, 506, 75230, 4852, 6655, 6, 148222, 874, 16870, 4944, 12483, 10339, 33809, 1211, 1470, 30682, 1470, 75230, 4667, 6, 238144, 7511, 5666, 3523, 23173, 6235, 144581, 148346, 12483, 8009, 23829, 874, 33809, 16932, 10339, 147713, 2882, 9213, 46244, 7213, 1644, 96986, 6, 5, 64044, 148932, 21374, 6, 110317, 2932, 54260, 2882, 4838, 33809, 1211, 35189, 8300, 33809, 2808, 10339, 147713, 2882, 22753, 2808, 8009, 6093, 51328, 4113, 38596, 54260, 2882, 4151, 8300, 54260, 1644, 12483, 10676, 112216, 18415, 26612, 165592, 23829, 60980, 1211, 1751, 75230, 1211, 10339, 33809, 1211, 6, 148222, 97483, 4944, 16932, 42493, 1470, 75230, 51437, 21106, 96986, 4838, 162726, 35596, 30473, 2808, 9213, 101608, 22518, 54260, 12483, 3069, 31467, 2050, 32899, 16932, 6, 4, 1470, 33809, 5666, 7369, 41764, 147713, 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 ]
[ 4231, 40096, 192544, 31249, 64567, 12483, 4838, 42023, 6, 31177, 83811, 6, 4, 137765, 36324, 22753, 2808, 6655, 10339, 33809, 1211, 17190, 506, 29771, 4113, 26612, 6235, 26612, 29789, 22426, 3111, 31467, 18415, 7508, 54260, 2648, 5, 657, 17645, 148346, 4113, 119055, 20961, 16932, 6, 148346, 13159, 6093, 163139, 2808, 10339, 33809, 4838, 6, 172060, 33809, 17645, 26612, 4838, 33809, 710, 6, 54260, 26612, 192061, 4151, 39293, 42023, 3523, 54260, 4113, 1470, 75230, 111684, 2442, 33809, 5666, 5666, 6, 4, 6655, 22753, 2808, 4269, 23173, 6, 54260, 26612, 4838, 14004, 8903, 1211, 8903, 73381, 35596, 6, 4, 3373, 2050, 2205, 132025, 27720, 2932, 5666, 6, 33353, 6681, 9213, 46244, 3523, 54260, 6093, 10184, 4113, 119859, 6, 54260, 26612, 21106, 4113, 173102, 22426, 7972, 96302, 12483, 5332, 46646, 4151, 17190, 46244, 6093, 37826, 4838, 5594, 26612, 6235, 22426, 71577, 710, 64769, 20961, 2205, 4838, 6319, 33809, 2442, 26394, 9424, 54260, 2882, 3056, 8947, 9213, 46244, 220224, 6093, 6235, 22426, 22426, 15350, 12483, 6235, 26612, 25603, 710, 165592, 23829, 6655, 7746, 6, 148346, 79238, 17410, 2702, 12483, 10676, 3944, 148346, 12483, 41764, 4944, 54260, 47526, 93975, 1211, 17190, 26612, 17645, 26612, 4231, 33809, 21106, 710, 148346, 12483, 7265, 10676, 44917, 57619, 12483, 49920, 26394, 1211, 6, 5, 95766, 4231, 65482, 6, 105235, 175221, 123736, 148346, 6093, 119055, 20961, 49481, 6, 148222, 657, 33809, 109636, 2882, 74806, 45619, 12483, 4852, 54260, 6093, 1470, 33809, 5666, 148346, 37016, 62067, 6, 4, 8947, 5332, 20961, 83066, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 5332, 54260, 4113, 26612, 4838, 3131, 75230, 4113, 17645, 26612, 23173, 46545, 13845, 3069, 31467, 3131, 22426, 710, 79981, 137, 7972, 148346, 13159, 2451, 2442, 14081, 12483, 155, 6, 73381, 35596, 32792, 6, 238144, 6, 29060, 41764, 54260, 54260, 4852, 18167, 364, 54260, 50778, 8903, 9424, 54260, 96986, 2205, 84087, 17824, 75230, 36419, 5, 43649, 20616, 2882, 6, 4, 6, 238144, 3523, 54260, 4231, 29789, 12483, 506, 54260, 50778, 8903, 58826, 46244, 12483, 6, 4, 4231, 17310, 4113, 657, 54260, 2882, 7265, 874, 16870, 4944, 12483, 84475, 7265, 4231, 71577, 12483, 2442, 54260, 20315, 1211, 6, 73381, 35596, 32792, 230764, 6, 148222, 44917, 2702, 12483, 1468, 28714, 4944, 12483, 163139, 30473, 96986, 4838, 54260, 17645, 26612, 4231, 33809, 22426, 183512, 6093, 12483, 6, 4, 3523, 54260, 12483, 145813, 2808, 72631, 12483, 1470, 33809, 5666, 27855, 51723, 7746, 42493, 3069, 31467, 26612, 3523, 54260, 1211, 6, 54260, 54260, 23093, 41595, 6093, 4151, 43649, 69859, 2882, 153, 8947, 3056, 1751, 75230, 1211, 95455, 4838, 8903, 26612, 54260, 5666, 7972, 109636, 5332, 71577, 92605, 54260, 59461, 202446, 8947, 56170, 1470, 33809, 50856, 91595, 4, 119055, 6093, 6, 29060, 6, 71577, 2882, 33809, 5666, 5666, 4838, 75230, 26612, 4838, 26612, 13845, 17645, 170355, 4944, 12483, 705, 6, 159696, 51723, 21374, 46685, 2882, 8947, 3069, 31467, 7508, 54260, 20315, 1211, 10339, 33809, 1211, 4231, 29060, 4838, 905, 2205, 118522, 167305, 25207, 1211, 1470, 33809, 5666, 6, 148346, 79989, 2205, 4231, 65482, 43649, 29060, 44779, 5332, 20961, 6, 29060, 3523, 71577, 3523, 54260, 6, 76776, 39293, 42023, 36324, 13845, 30750, 9213, 12483, 6, 4, 24857, 364, 33809, 22426, 2882, 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 ]
[ 115222, 22426, 1211, 6, 105235, 146887, 6, 238144, 132, 2865, 95957, 6293, 16, 9174, 33809, 25603, 2451, 1438, 292, 506, 14303, 12483, 119055, 46646, 28977, 49597, 2882, 6655, 1285, 32899, 22492, 2882, 15533, 2865, 33809, 2702, 1751, 57277, 24152, 148707, 13159, 29631, 2882, 6, 4, 94741, 33716, 5332, 33353, 12483, 6, 54260, 2808, 6, 21106, 54260, 1211, 44917, 69106, 5332, 54260, 2882, 4151, 7201, 33809, 1211, 1470, 33809, 5666, 39484, 31467, 12483, 42493, 8903, 7972, 96986, 119055, 6093, 8947, 3056, 6, 23173, 75230, 2702, 10339, 33809, 1211, 6, 118025, 1470, 33809, 5666, 7746, 32054, 54260, 2808, 6235, 111684, 33716, 6, 5, 63188, 17190, 46244, 6093, 163139, 35189, 13278, 2050, 7369, 37826, 6681, 3131, 2865, 226976, 36324, 2205, 17741, 25207, 95766, 42493, 4151, 6, 99766, 3069, 31467, 3131, 22426, 15350, 12483, 3944, 148346, 4113, 1470, 33809, 5666, 6655, 7746, 6235, 506, 15907, 4151, 7201, 33809, 1211, 4852, 54260, 6093, 1751, 57277, 24152, 4, 7369, 6655, 140108, 74806, 22426, 710, 21295, 4838, 32054, 33809, 24621, 48494, 28726, 6, 4, 7265, 8903, 506, 21106, 96986, 7265, 76961, 118439, 448, 2205, 76961, 6, 80453, 33056, 6, 4, 10339, 33809, 1211, 6428, 119273, 159696, 8903, 1211, 4113, 26612, 26612, 4113, 26612, 220224, 2808, 2205, 10372, 2648, 4, 220224, 2808, 151614, 148346, 12483, 1470, 30682, 42493, 6235, 506, 14081, 18415, 22426, 23173, 4838, 53636, 2648, 6, 4, 3523, 33809, 2442, 163139, 2808, 1157, 5666, 5666, 18225, 6655, 10339, 33809, 1211, 1470, 30682, 6319, 54260, 1211, 16629, 43178, 109636, 22426, 6235, 39293, 42023, 6655, 7369, 140108, 6681, 1285, 13497, 220224, 1211, 17190, 148346, 172398, 144754, 13845, 4, 4113, 119718, 26612, 39484, 31467, 12483, 1470, 30682, 6235, 506, 14081, 96986, 163139, 2808, 220224, 6093, 4838, 17824, 75230, 2702, 12483, 364, 18340, 6, 5, 6, 5, 6, 5, 119718, 75230, 1644, 4838, 30682, 49027, 12483, 220224, 123073, 114955, 42493, 115222, 8903, 1211, 6, 47351, 22518, 54260, 148346, 12483, 71577, 26612, 710, 33809, 1054, 26612, 26612, 12483, 44917, 51723, 4, 123736, 148346, 6093, 7265, 4151, 8300, 54260, 2882, 6655, 18225, 6, 148346, 75322, 6093, 4484, 57277, 119718, 26612, 4838, 33809, 506, 2882, 6, 29060, 119718, 46646, 42493, 36324, 75230, 2808, 10339, 54260, 1211, 6, 4, 7369, 202745, 17824, 75230, 36419, 1470, 33809, 194734, 48775, 125942, 33809, 183216, 6, 54260, 2882, 97483, 4944, 16932, 6, 4, 7369, 105884, 2882, 7265, 9213, 506, 48775, 33809, 22426, 75230, 41764, 5666, 54260, 104151, 18167, 29566, 115666, 17537, 6655, 4269, 32792, 6, 148346, 37016, 33809, 51723, 3069, 31467, 163139, 2702, 12483, 4151, 22426, 33809, 1211, 4838, 33809, 5666, 364, 15907, 1470, 30682, 1751, 141943, 32792, 6, 148346, 20616, 104274, 13845, 2882, 7369, 6655, 1470, 30682, 8903, 3131, 22426, 26612, 8903, 1211, 2200, 19302, 54260, 39293, 1644, 6, 148346, 14236, 76961, 24012, 49008, 6235, 159696, 1211, 3069, 31467, 2050, 19024, 905, 49008, 6, 4, 26612, 33809, 22426, 4231, 40096, 4838, 710, 22426, 710, 186046, 74004, 98833, 36324, 7369, 47567, 6, 148346, 13159, 6093, 34076, 54260, 4667, 4838, 905, 33809, 37016, 22426, 20961, 12483, 22426, 33809, 1211, 1751, 109636, 109636, 1644, 5332, 1470, 33809, 2932, 5332, 12483, 7369, 119055, 29060, 1470, 30682, 42493, 117641, 8903, 1211, 6, 4, 36324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 14004, 29060, 6, 12483, 4838, 710, 22426, 2882, 49481, 4838, 73256, 1751, 203749, 12483, 6, 148346, 15533, 16175, 75230, 2882, 6, 5, 17645, 26612, 4231, 29789, 16932, 37826, 6681, 29659, 226976, 36324, 1751, 104274, 133111, 1054, 29060, 24857, 71577, 137218, 6, 16562, 1211, 23847, 119055, 29060, 1470, 98071, 56417, 6235, 119718, 21292, 16175, 75230, 2882, 13804, 8903, 1211, 6, 4, 1054, 54260, 1644, 230764, 26612, 26612, 6, 17645, 26612, 710, 12483, 2205, 141107, 6319, 54260, 1211, 6319, 83957, 42493, 18225, 16175, 33809, 2882, 6, 21106, 7611, 119490, 4113, 22426, 33809, 22426, 5332, 4838, 33809, 5666, 41764, 33809, 1211, 4838, 3373, 13342, 506, 6, 159696, 8903, 1211, 60980, 1211, 7369, 4838, 24621, 110970, 12483, 6, 148346, 210726, 2808, 148346, 12483, 6, 4, 26612, 26612, 26612, 26612, 26612, 4838, 710, 33809, 4838, 75230, 5666, 238197, 41764, 75230, 2808, 6, 148222, 199720, 148346, 4113, 4231, 33809, 183216, 119055, 46646, 6, 238144, 2702, 12483, 2932, 15907, 4838, 119718, 26612, 4269, 33809, 2882, 4838, 33809, 5666, 119055, 75230, 32054, 33809, 2050, 3069, 31467, 2808, 220224, 1211, 74, 1751, 104274, 133111, 5332, 20961, 1470, 54260, 23269, 48775, 33809, 1211, 4838, 26612, 137218, 4113, 4838, 71804, 26612, 5332, 20961, 4151, 17190, 46244, 6093, 6235, 8300, 119718, 2808, 33809, 183216, 120202, 8300, 33809, 22426, 43590, 25207, 1211, 4113, 22426, 56703, 6293, 16, 10339, 33809, 1211, 2451, 387, 292, 33225, 1751, 16932, 18415, 6, 4, 51328, 6, 238144, 1644, 24857, 51328, 32054, 54260, 2882, 64567, 6655, 6, 12483, 4231, 29060, 33809, 4852, 2882, 64044, 3131, 80453, 4113, 4944, 12483, 36324, 34076, 54260, 4667, 49481, 1751, 148346, 609, 5332, 29060, 7369, 4838, 159696, 4484, 22426, 26612, 26612, 710, 12483, 6, 40096, 5, 95766, 163139, 50853, 6, 5, 3131, 148346, 609, 40026, 506, 3069, 31467, 2050, 19024, 119718, 49008, 6, 4, 2205, 6, 47351, 19302, 54260, 23269, 1751, 109636, 175221, 5666, 54260, 12483, 76961, 2205, 19302, 75230, 4852, 6, 23173, 54260, 1211, 6, 4, 1470, 33809, 5666, 1054, 6093, 8947, 41764, 20616, 21295, 2205, 4838, 4231, 33809, 8580, 165592, 7369, 3056, 4838, 4113, 37016, 8903, 27720, 46244, 12483, 6, 4, 123736, 148346, 6093, 7369, 3056, 70695, 20260, 6, 4, 4231, 23173, 96986, 4838, 8580, 148222, 17824, 13159, 18415, 29566, 152848, 4838, 4231, 33809, 2648, 5950, 42493, 3523, 54260, 1211, 19024, 119718, 49008, 5332, 18133, 26612, 6, 172060, 54260, 12483, 710, 33809, 4113, 4113, 1470, 33809, 5666, 6, 21106, 18415, 119055, 6093, 8947, 6655, 51328, 6681, 2648, 87442, 4231, 29060, 6319, 71577, 5332, 26612, 75322, 33809, 4852, 4269, 54260, 1211, 2205, 19302, 54260, 39293, 1644, 19024, 119718, 49008, 6, 4, 1751, 104274, 133111, 5332, 20961, 49481, 10339, 33809, 1211, 6, 54260, 26612, 22680, 33809, 24621, 657, 54260, 2882, 6, 4, 7369, 6655, 74806, 22426, 710, 21295, 4838, 7201, 18250, 33809, 24621, 48494, 28726, 6, 4, 6, 12483, 4838, 17645, 6235, 26612, 905, 12483, 2932, 148346, 14004, 2205, 19302, 75230, 4852, 6, 4, 3523, 105330, 133111, 6655, 120202, 8903, 2882, 101503, 124724, 4269, 33809, 18415, 6, 148346, 54260, 2882, 25933, 33809, 5666, 3056, 4838, 4113, 37016, 6235, 22492, 183216, 3069, 31467, 2808, 29566, 141943, 133111, 3069, 31467, 2808, 364, 75230, 1211, 5332, 6, 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 ]
[ 4231, 40096, 141353, 96986, 6235, 7201, 33809, 49008, 19024, 73095, 4667, 107581, 22753, 2808, 3056, 6235, 159696, 1211, 145813, 2808, 37016, 710, 3523, 33809, 26612, 33809, 4113, 76632, 4113, 64044, 238144, 13497, 6, 4, 6681, 2808, 33809, 107182, 6, 5, 2451, 119055, 46646, 5332, 54260, 16667, 2882, 6428, 33809, 2808, 874, 54260, 23269, 6, 23093, 54260, 123073, 1751, 54260, 4113, 54260, 1211, 4231, 4838, 4231, 40096, 5666, 105330, 133111, 9213, 46244, 23050, 80453, 35596, 292, 6428, 54260, 1211, 32899, 16932, 163139, 1644, 19024, 22426, 4231, 33809, 26612, 5332, 21106, 15907, 4852, 54260, 1211, 32054, 33809, 2050, 6, 4, 6, 21106, 74004, 6, 148346, 2442, 75230, 4667, 18225, 1751, 148346, 609, 42493, 6, 238144, 49008, 4, 6, 76776, 26612, 4838, 710, 22426, 5332, 54260, 22426, 21106, 7611, 6, 4, 6255, 60980, 1211, 7265, 124724, 137765, 41764, 15350, 42493, 5332, 54260, 710, 12483, 4838, 33809, 5666, 3523, 54260, 64044, 80453, 54260, 183216, 6, 4, 6255, 163139, 1644, 5332, 4667, 7265, 1285, 4667, 6235, 39293, 8903, 49008, 5332, 5332, 26612, 26612, 42493, 6, 76776, 68313, 4151, 6, 99766, 6, 4, 84087, 710, 40920, 364, 77188, 4231, 63593, 104274, 19024, 905, 33809, 2882, 6, 54260, 17645, 4838, 137218, 6, 54260, 75322, 54260, 1211, 3523, 33809, 18415, 32054, 54260, 79981, 16175, 364, 7265, 20033, 10676, 6, 225663, 4838, 33809, 5666, 6319, 33809, 2882, 4838, 33809, 26612, 3523, 54260, 1211, 95766, 119055, 14081, 2648, 119055, 46646, 6, 148346, 54260, 2808, 4151, 191069, 6, 4, 6319, 33809, 2050, 44917, 22426, 6, 54260, 22426, 26612, 2932, 3523, 33809, 26612, 3523, 54260, 1211, 2648, 99766, 12483, 145813, 2808, 138194, 12483, 6, 4, 119055, 109316, 1211, 20033, 7746, 6235, 39293, 8903, 49008, 5332, 1470, 54260, 15622, 158894, 9221, 6428, 99766, 12483, 7369, 8300, 54260, 1644, 12483, 3523, 33809, 18415, 3523, 54260, 2702, 119055, 46646, 124724, 4231, 29060, 4231, 40096, 6, 54260, 54260, 12483, 8300, 33809, 506, 6093, 12483, 6, 5, 132, 2865, 95957, 6293, 16, 1285, 26612, 2451, 1702, 292, 54260, 2808, 32054, 54260, 79981, 6655, 1470, 30682, 6681, 3131, 80453, 2808, 4944, 12483, 3069, 31467, 4484, 33809, 51723, 2205, 23292, 14081, 10069, 71577, 4231, 33809, 2882, 64567, 6, 4, 1470, 33809, 5666, 6655, 7369, 46590, 2882, 9213, 46244, 119055, 101503, 4, 163139, 2808, 6, 148222, 895, 16932, 1211, 710, 71577, 15388, 7746, 6, 195054, 54260, 98833, 123736, 148346, 2442, 33809, 506, 12483, 6, 4, 54745, 1211, 1751, 148346, 609, 49481, 10676, 6319, 33809, 195054, 3131, 28726, 149364, 2882, 7746, 1751, 57277, 24152, 6, 4, 6, 148222, 32054, 54260, 79981, 6655, 7746, 123736, 148346, 8903, 119718, 76526, 12483, 6, 5, 48904, 2932, 31623, 75230, 2932, 8580, 11265, 4113, 21422, 46244, 33809, 5666, 5666, 1470, 33809, 5666, 3056, 4838, 159696, 4484, 2205, 23292, 14081, 2648, 6, 4, 140108, 6655, 29789, 2808, 4231, 109995, 6235, 22426, 33809, 49008, 4151, 17190, 46244, 6093, 7369, 119055, 101503, 230764, 9213, 46244, 6, 4, 220224, 14004, 75230, 49008, 5332, 75230, 20315, 33809, 10069, 5666, 36324, 75230, 2808, 6, 143409, 6235, 185337, 12483, 145813, 2808, 138194, 12483, 6, 5, 6, 148346, 15533, 21422, 2808, 4113, 75230, 49008, 41764, 2808, 26612, 58679, 4944, 12483, 16175, 32097, 2205, 165097, 2648, 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 ]
[ 23173, 54260, 1211, 6, 4, 6, 148222, 9424, 54260, 2882, 3056, 24012, 14004, 29789, 12483, 6319, 33809, 71945, 4, 8947, 3056, 6428, 33809, 20260, 13845, 6235, 4113, 20961, 12483, 6, 4, 6, 148222, 6, 74004, 23269, 3056, 1751, 75230, 1211, 71804, 23269, 1470, 33809, 13497, 6093, 6235, 22492, 183216, 6, 4, 1470, 33809, 5666, 6, 148222, 151614, 148346, 12483, 49481, 6, 21106, 7611, 42493, 93975, 16747, 41595, 9934, 75230, 6093, 74806, 80453, 4113, 4667, 6, 4, 8947, 3056, 4269, 33809, 2882, 6, 105780, 82576, 6235, 119718, 20961, 12483, 6, 4, 506, 2884, 6, 137218, 148346, 12483, 6, 54260, 8248, 31467, 4667, 163139, 10339, 33809, 1211, 36324, 21292, 12483, 13804, 6293, 1470, 75230, 111137, 4113, 115536, 6, 4, 220224, 14004, 71577, 12483, 22753, 22426, 1470, 33809, 2882, 8903, 39293, 42023, 36324, 220224, 2808, 24012, 49008, 3069, 31467, 4113, 54260, 2882, 2205, 23292, 14081, 2648, 130363, 710, 71577, 12483, 1211, 3523, 33809, 57277, 6319, 54260, 1211, 119055, 43178, 6319, 54260, 1211, 43649, 43178, 119055, 2808, 33809, 19532, 75230, 2702, 8300, 33809, 129891, 153, 3069, 31467, 2808, 26612, 26612, 17645, 26612, 5332, 14004, 2882, 75230, 49008, 151614, 148346, 12483, 220224, 2808, 221387, 10339, 33809, 1211, 6, 238144, 96986, 52059, 850, 10339, 33809, 1211, 17645, 110970, 12483, 123736, 12483, 7508, 33809, 22426, 2882, 6, 148222, 874, 16870, 4944, 12483, 7265, 9213, 46244, 44917, 51723, 6, 4, 220224, 2808, 39484, 31467, 12483, 21847, 71577, 6, 109636, 26612, 3131, 22426, 64567, 12483, 36324, 123736, 12483, 58826, 98833, 22753, 2808, 6, 33225, 43649, 29060, 13845, 6, 4, 19024, 874, 16870, 107581, 26612, 8580, 41764, 36909, 29060, 4231, 139962, 6235, 148346, 7972, 148346, 12483, 1470, 33809, 5666, 4151, 17190, 46244, 6093, 6655, 9213, 46244, 49481, 17645, 22426, 26612, 710, 22426, 4838, 22518, 37016, 6, 4, 7369, 364, 15907, 150764, 36324, 18225, 119055, 29060, 9213, 46244, 9174, 55687, 8903, 22426, 710, 49008, 4838, 33809, 1211, 119055, 14081, 2648, 7265, 1470, 30682, 4, 119055, 29060, 18225, 9213, 46244, 13804, 8903, 1211, 6, 148346, 15533, 2882, 33809, 15907, 5332, 41764, 12483, 5332, 20961, 220224, 1211, 5332, 8632, 22753, 2808, 47567, 4838, 506, 54260, 2050, 42493, 3523, 54260, 1211, 6, 4, 123736, 15231, 119718, 26612, 3523, 40096, 119055, 29060, 6235, 148346, 12483, 292, 6655, 7369, 3069, 31467, 2808, 9213, 46244, 6235, 4852, 62067, 292, 137218, 26612, 710, 6, 76776, 26612, 42493, 6, 29631, 1285, 49008, 42493, 6681, 1644, 20961, 12483, 6, 4, 119055, 2808, 33809, 20033, 119055, 109316, 1211, 710, 33809, 109636, 1211, 4838, 29789, 12483, 127461, 151614, 148346, 12483, 1470, 33809, 54561, 6093, 6, 148346, 2442, 75230, 2882, 6, 4, 51328, 6, 54260, 2808, 20033, 6235, 23822, 54260, 26612, 36609, 5332, 75230, 1211, 6, 76776, 113889, 12483, 17288, 22426, 26394, 1211, 153, 220224, 2808, 874, 54260, 1211, 6235, 87637, 108968, 10339, 33809, 1211, 364, 54260, 13497, 6, 68558, 5, 5, 170355, 54260, 2882, 6319, 16629, 5332, 6428, 54260, 23269, 895, 16932, 12483, 119055, 109316, 1211, 124724, 42493, 51678, 6, 207682, 6319, 54260, 1211, 54260, 4113, 22426, 710, 29060, 5332, 42493, 46654, 33809, 8903, 1211, 42493, 13804, 8903, 1211, 6, 4, 1470, 75230, 4667, 3523, 98071, 2882, 1751, 109636, 8903, 1211, 26612, 710, 76776 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26612, 6, 109636, 22426, 8903, 110317, 12483, 84475, 1470, 75230, 22426, 148346, 710, 16747, 12483, 1470, 33809, 54561, 6093, 5332, 119718, 93975, 1211, 364, 54260, 186461, 12483, 710, 33809, 137218, 5332, 4113, 57277, 3131, 6293, 16, 17537, 2451, 496, 292, 95766, 657, 54260, 20315, 1211, 1470, 33809, 5666, 2205, 6428, 54260, 20315, 1211, 6, 4, 2205, 22518, 37016, 4838, 33809, 5666, 4838, 33809, 1211, 4231, 71577, 208048, 85465, 148346, 12483, 5, 58826, 140108, 6681, 148346, 1982, 115536, 6, 148222, 23292, 26394, 4838, 171665, 22426, 4838, 26612, 710, 6, 208048, 71804, 148346, 15533, 8947, 3056, 3944, 40920, 18640, 123736, 4113, 119718, 20961, 12483, 6, 4, 21422, 2808, 151614, 148346, 12483, 6235, 7201, 33809, 49008, 15622, 26612, 75903, 26612, 119718, 46646, 6, 111684, 33716, 6, 23173, 75230, 2702, 10339, 33809, 1211, 23292, 14081, 2648, 6, 4, 1470, 33809, 5666, 21422, 2808, 220224, 49008, 6235, 4484, 33809, 51723, 5332, 26612, 15907, 48340, 172398, 6, 148346, 54260, 2808, 10676, 6, 148346, 25207, 2932, 6, 448, 6, 4, 1470, 33809, 5666, 151614, 148346, 12483, 6, 94741, 15907, 23050, 22426, 33809, 8903, 1211, 26612, 7213, 6293, 22753, 2808, 3523, 54260, 2882, 49481, 21374, 7972, 22426, 6, 4, 220224, 2808, 39484, 31467, 12483, 6, 148346, 16870, 33809, 183216, 7265, 4838, 4113, 22426, 20315, 2050, 7213, 136119, 2808, 22426, 15907, 54260, 1211, 7369, 47567, 220224, 2808, 7265, 23269, 506, 51723, 49481, 52059, 33809, 22426, 5332, 3523, 98833, 4852, 54260, 2808, 39484, 31467, 12483, 42493, 174246, 6319, 54260, 1211, 17824, 46646, 12483, 6235, 50853, 163139, 39293, 60980, 710, 109636, 1211, 64769, 33809, 2442, 6, 148222, 874, 16870, 4944, 12483, 6, 148346, 14236, 22753, 2808, 3056, 4838, 4113, 37016, 8903, 185337, 12483, 41764, 33809, 1211, 6, 17645, 26612, 3523, 54260, 48253, 22426, 26612, 138194, 12483, 2205, 23292, 14081, 2648, 6, 5, 6655, 22753, 2808, 132025, 8903, 207682, 4838, 22492, 50853, 65482, 4231, 75230, 2882, 7265, 22492, 4667, 221895, 21422, 46244, 33809, 23405, 6, 4, 1470, 33809, 5666, 4151, 17190, 46244, 6093, 6655, 4838, 905, 33809, 22426, 6, 77820, 40096, 2808, 75230, 6293, 7746, 6, 29060, 119718, 46646, 4, 4838, 4269, 33809, 96986, 220224, 61397, 1470, 33809, 5666, 41764, 23174, 4113, 21847, 905, 22426, 5332, 4231, 29789, 144754, 4852, 54260, 49008, 220224, 2808, 6235, 27720, 46244, 12483, 1470, 33809, 5666, 39484, 31467, 12483, 6235, 85465, 22426, 2882, 3069, 31467, 6319, 33809, 96986, 34076, 33809, 22426, 1644, 71577, 22492, 4667, 21374, 7972, 7201, 6, 5, 230764, 10676, 7213, 6293, 6655, 6, 148222, 874, 16870, 4944, 12483, 6, 148346, 4113, 18415, 48904, 22426, 4231, 40096, 30473, 2808, 6655, 6235, 207682, 6, 4, 8947, 6655, 9213, 46244, 6, 54260, 6093, 657, 54260, 2648, 6235, 57277, 1211, 5332, 5332, 26612, 26612, 6, 29060, 119718, 20961, 1751, 2884, 73095, 46244, 6319, 54260, 1211, 9424, 54260, 2882, 7746, 3069, 31467, 506, 13845, 55823, 1211, 6, 4, 8947, 2205, 4113, 6235, 4113, 12483, 64044, 145168, 12483, 6, 4, 22753, 2808, 6655, 44917, 69106, 3523, 33809, 2882, 32899, 112956, 12483, 36324, 22753, 26612, 6319, 47351, 1751, 75230, 1211, 24621, 46244, 1470, 364, 54260, 2050, 3069, 31467, 2442, 7682, 42493, 32899, 46244, 12483, 4, 364, 33809, 2808, 895, 16932, 12483, 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 ]
[ 109316, 1211, 4838, 71577, 6, 47351, 14004, 46244, 3523, 33809, 142785, 220224, 1211, 6, 4, 1470, 75230, 4667, 6655, 22753, 2808, 6235, 4484, 62067, 364, 137218, 1751, 54260, 2648, 2882, 6, 54260, 710, 22426, 119718, 120467, 6681, 14856, 110970, 12483, 39384, 2808, 220224, 49008, 6, 5, 6, 141353, 33809, 2050, 119055, 69859, 220224, 3069, 31467, 22426, 26612, 54260, 12483, 6, 54260, 137218, 75386, 6, 4, 22753, 2808, 6655, 7746, 6681, 190135, 36324, 5, 22753, 2808, 119055, 29060, 4231, 71577, 12483, 42493, 3111, 31467, 2882, 123736, 148346, 6093, 6, 148346, 20961, 145168, 12483, 6, 5, 6, 148222, 6, 5, 7213, 6293, 1054, 29060, 9213, 46244, 42493, 4838, 159696, 4484, 22426, 33809, 26612, 710, 12483, 8300, 33809, 2442, 7682, 6, 4, 22753, 2808, 6655, 7746, 6681, 17410, 104149, 230764, 10676, 4269, 33809, 96986, 17190, 26612, 17645, 26612, 165592, 7369, 1054, 29060, 2190, 46244, 6319, 54260, 1211, 620, 91595, 13159, 6, 207682, 6, 4, 7369, 119055, 29060, 4838, 5594, 26612, 42493, 109636, 65848, 8903, 1211, 6, 4, 6, 59919, 71804, 104149, 9213, 46244, 2205, 4838, 22680, 63593, 20315, 6, 212394, 5332, 4838, 33809, 26612, 26612, 4838, 26612, 25603, 22426, 710, 33104, 20961, 55823, 1211, 1470, 33809, 5666, 17190, 148346, 12483, 6681, 8248, 4667, 6, 21106, 54260, 1211, 6, 4, 5, 6, 64260, 6428, 54260, 4231, 40096, 4838, 71577, 26612, 8903, 23822, 54260, 16803, 6, 4, 1470, 33809, 5666, 19024, 9174, 26632, 6235, 119718, 710, 104149, 6, 71577, 25222, 33809, 1644, 33809, 109636, 16175, 71512, 6, 17645, 22426, 28726, 46244, 6093, 6, 4, 22753, 2808, 6655, 74806, 1644, 33809, 183216, 220224, 23269, 6, 150020, 54260, 5666, 4667, 7972, 148346, 4113, 4838, 119718, 710, 5332, 4838, 26612, 26612, 4838, 137218, 132, 2865, 95957, 6293, 16, 6235, 22426, 26612, 26612, 710, 12483, 2451, 1936, 41764, 23269, 22426, 54260, 710, 12483, 7265, 6, 148222, 17824, 13159, 18415, 45521, 95064, 7511, 49008, 6, 4, 6, 238144, 1644, 4151, 17190, 46244, 89184, 40096, 7369, 8300, 54260, 21295, 1751, 54260, 23269, 3523, 77928, 40920, 12483, 6, 5, 1470, 33809, 5666, 19024, 2648, 33809, 81455, 39484, 31467, 12483, 24012, 2808, 7746, 42493, 8903, 143409, 5332, 54260, 69181, 152, 35189, 874, 95957, 6293, 7265, 10676, 6319, 13982, 6, 5, 95766, 17741, 25207, 3056, 6, 23173, 75230, 2702, 4151, 52059, 36324, 29566, 2648, 2865, 123844, 6, 97634, 4944, 16932, 54260, 1211, 6, 84577, 17410, 109636, 1211, 7265, 10676, 17190, 46244, 6093, 7746, 16175, 75230, 55823, 1211, 6, 5, 2181, 220224, 49008, 6, 23173, 75230, 150349, 33809, 1211, 191069, 84087, 14856, 110970, 12483, 39384, 2808, 3069, 31467, 2808, 58826, 8903, 1211, 6, 4, 220224, 2808, 39484, 31467, 12483, 6235, 4852, 33809, 4944, 57277, 8580, 5332, 14081, 2648, 1470, 33809, 5666, 6, 61397, 33809, 36909, 12483, 6, 148222, 874, 16870, 4944, 12483, 7265, 9213, 46244, 44917, 51723, 6, 4, 1470, 33809, 5927, 71577, 12483, 123736, 148346, 6093, 42493, 6235, 7201, 33809, 49008, 6, 5, 1285, 49008, 6, 148222, 3069, 31467, 2442, 7682, 23269, 185337, 12483, 2205, 710, 22426, 26632, 1470, 33809, 5666, 151614, 148346, 12483, 150764, 36324, 42493, 4838, 83182, 3131, 36324, 4838, 3131, 2648, 6655, 4113, 137218, 6, 17645, 48904, 12483, 3069, 31467, 8903, 85465, 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 ]
[ 2882, 6, 4, 54745, 1211, 119055, 2808, 33809, 6655, 22753, 2808, 6235, 4484, 62067, 6, 148346, 1644, 54260, 148346, 12483, 705, 26612, 26612, 119718, 26612, 33960, 148346, 119055, 6093, 12483, 6681, 3131, 119718, 2808, 33809, 16747, 12483, 4, 6235, 119718, 21292, 6319, 54260, 1211, 4838, 83182, 117641, 6, 4, 51328, 26612, 102323, 6655, 123736, 46244, 6681, 3131, 28726, 22426, 2882, 6, 4, 44458, 29566, 93238, 133111, 6655, 24857, 8903, 5666, 12666, 54260, 2882, 5332, 7369, 6655, 42493, 6235, 4852, 203387, 159696, 2882, 23050, 50853, 74806, 93449, 620, 33809, 506, 448, 4113, 54260, 18415, 26612, 4838, 33809, 5666, 42572, 33809, 2702, 2932, 54260, 6093, 9213, 46244, 8248, 31467, 4944, 12483, 6, 4, 7369, 6655, 6235, 212484, 2882, 6, 148346, 37016, 62067, 137218, 710, 12483, 119055, 6093, 8947, 119055, 29060, 6235, 7916, 23269, 12483, 220224, 1211, 97483, 4944, 16932, 1470, 33809, 5666, 1470, 30682, 874, 210326, 4113, 54260, 1211, 119055, 29060, 6, 12483, 1470, 30682, 6235, 148346, 12483, 84087, 6235, 50853, 6, 4, 6, 148222, 1054, 54260, 148346, 3056, 6, 195054, 68561, 12483, 4113, 33809, 710, 6, 54260, 710, 6, 123103, 22426, 448, 6, 4, 220224, 37826, 4838, 45629, 148346, 23269, 148346, 2442, 115536, 2205, 191069, 4838, 23847, 75230, 68558, 54260, 26612, 4838, 33809, 5666, 4838, 6, 148346, 89184, 99403, 96986, 874, 95957, 6293, 6, 4, 2205, 191069, 6655, 23050, 4484, 115536, 6, 4, 506, 54260, 13845, 4838, 33809, 5666, 7369, 2648, 6235, 10918, 16932, 2882, 6, 4, 220224, 2808, 39484, 31467, 12483, 6235, 119718, 710, 104149, 17824, 75230, 2702, 29060, 71577, 710, 36609, 4231, 99509, 119055, 2808, 33809, 83182, 149010, 4838, 4944, 12483, 6, 4, 220224, 2808, 39484, 31467, 12483, 132025, 8903, 159696, 152848, 57277, 17645, 6319, 8903, 22426, 96986, 6, 4, 2205, 43649, 16870, 18415, 1644, 39484, 31467, 12483, 51963, 6235, 21847, 75230, 148346, 2882, 36324, 4151, 71577, 4113, 22426, 7265, 10676, 6319, 13982, 119055, 109316, 1211, 56170, 2808, 22426, 148346, 2442, 54260, 183216, 10676, 17190, 46244, 6093, 7265, 26612, 137218, 4231, 12483, 710, 12483, 6, 4, 54745, 1211, 24857, 39484, 31467, 12483, 76961, 6235, 39293, 42023, 19024, 2050, 4151, 874, 95957, 6293, 26612, 33809, 26612, 4838, 4113, 26612, 4231, 49209, 6, 196332, 1211, 5, 6, 148346, 54260, 20315, 4269, 33809, 2882, 6, 148346, 37016, 62067, 7265, 76961, 102323, 448, 6, 5, 44458, 132, 2882, 95957, 6293, 16, 1751, 104274, 133111, 2451, 427, 6, 48253, 104274, 133111, 7265, 6, 54260, 1211, 6, 238144, 148346, 220224, 8903, 1211, 6235, 4113, 20961, 12483, 41764, 2882, 54260, 1644, 33809, 22426, 5332, 33809, 26612, 6, 17645, 96986, 41764, 52480, 95957, 6293, 220224, 1211, 6681, 3131, 80453, 4113, 4944, 12483, 24857, 2205, 4838, 40920, 97483, 5666, 3523, 6, 148346, 54260, 2882, 4838, 905, 29060, 6, 17645, 165592, 54260, 2808, 6235, 7916, 49008, 6, 4, 119055, 12483, 4838, 46590, 33809, 220224, 2808, 47567, 12483, 6, 42421, 4838, 41595, 4113, 26612, 4838, 905, 26612, 6, 54260, 26612, 3149, 3131, 4667, 119055, 109316, 1211, 6, 148222, 102323, 448, 220224, 2808, 10339, 33809, 1211, 140108, 6, 148346, 2442, 75230, 183216, 4231, 33809, 3131, 109636, 109636, 1211, 4838, 148222, 141879, 3373, 2932, 33809, 10125, 119055, 46646, 4151, 874, 95957, 6293, 6655, 4231 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 119718, 710, 104149, 4231, 40096, 6235, 1211, 96256, 39340, 6235, 39293, 42023, 36324, 7369, 3056, 4838, 17824, 75230, 101608, 6, 51437, 33809, 22426, 1211, 16175, 33809, 2882, 6, 54260, 26612, 6, 54260, 54260, 5332, 2808, 33809, 5666, 7369, 6, 238144, 2702, 7265, 1054, 46646, 220224, 2808, 3069, 31467, 2808, 9174, 5666, 36909, 171428, 6, 4, 6, 12483, 4231, 40096, 4269, 75230, 33809, 33809, 109636, 92605, 75230, 55823, 1211, 4838, 36326, 20961, 26394, 1211, 364, 17537, 7265, 4838, 17824, 75230, 2702, 12483, 657, 54260, 24621, 119132, 78104, 22426, 4838, 6, 17645, 23093, 17537, 6655, 7369, 6, 21106, 54260, 1211, 7265, 220224, 1211, 9174, 183512, 120202, 8903, 95494, 26612, 12483, 6, 17645, 22426, 6, 37016, 5332, 2808, 33809, 5666, 6655, 1470, 30682, 17190, 148346, 16870, 127684, 506, 54260, 2882, 6, 23173, 54260, 23405, 13845, 54260, 98833, 2205, 78104, 22426, 5332, 4838, 33809, 152848, 2050, 97483, 22426, 7265, 10676, 364, 17537, 6655, 7369, 6235, 506, 54260, 2702, 12483, 6, 137218, 127710, 175323, 12483, 4838, 33809, 194734, 93704, 46598, 41764, 79100, 16803, 119055, 2808, 33809, 6, 148222, 97483, 4944, 16932, 10339, 147713, 2882, 6, 94741, 33716, 7213, 71577, 12483, 58729, 2050, 6, 37016, 10339, 33809, 1211, 364, 17537, 47567, 6, 148222, 874, 33809, 16932, 1470, 54260, 1211, 45521, 20315, 1211, 6, 137218, 710, 109636, 1211, 6, 54260, 710, 165592, 18167, 2205, 6, 148346, 33809, 39293, 2050, 6, 4, 1470, 33809, 5666, 6, 148222, 9213, 148346, 6093, 93975, 76961, 41764, 12483, 29789, 12483, 5332, 21106, 6235, 1211, 148346, 210726, 2808, 148346, 12483, 1470, 33809, 13497, 6093, 12483, 6, 148346, 29060, 119055, 2808, 33809, 4151, 17190, 46244, 6093, 162726, 35596, 620, 71577, 12483, 6, 93704, 17537, 874, 33809, 104149, 6, 54260, 2808, 6, 148346, 54260, 20315, 2205, 4838, 40920, 97483, 5666, 9424, 54260, 2882, 6319, 33809, 51723, 6, 148346, 33809, 22426, 26612, 26612, 710, 12483, 4838, 148222, 6, 148346, 79238, 15231, 188201, 9424, 54260, 2882, 3056, 4838, 12415, 148346, 6093, 6, 4, 3523, 40096, 6, 17645, 29789, 12483, 4838, 54260, 7511, 2882, 6235, 4484, 33809, 51723, 6, 5, 10676, 874, 95957, 6293, 9174, 26632, 18225, 10339, 33809, 1211, 43649, 40096, 4838, 26612, 75230, 5666, 8903, 22426, 54260, 109636, 1211, 238144, 4838, 6, 148346, 29060, 2442, 161459, 6, 4, 6, 148222, 1751, 54260, 36419, 69512, 48904, 7682, 29060, 58826, 148346, 12483, 4838, 33809, 76776, 5332, 26612, 4113, 26612, 8903, 25391, 710, 12483, 137, 4484, 33809, 73486, 37016, 33809, 711, 27855, 20961, 89930, 9174, 17537, 155, 106, 292, 35189, 26, 17190, 46244, 6093, 6655, 7265, 24857, 18225, 710, 12483, 6, 137218, 33809, 76776, 6235, 710, 26632, 3523, 33809, 15533, 54260, 2808, 151614, 148346, 12483, 6235, 28726, 148346, 2882, 55242, 506, 6093, 1470, 33809, 23405, 105330, 7972, 148346, 5332, 6, 12483, 4231, 40096, 7213, 26612, 26612, 710, 99766, 3149, 6235, 2865, 26632, 186046, 119055, 46646, 22753, 2808, 33414, 2882, 6235, 4852, 24295, 54260, 13497, 6235, 8903, 1211, 4838, 54260, 17645, 13845, 16932, 12483, 6, 4, 3523, 33809, 1211, 22753, 2808, 6655, 7746, 1751, 75230, 1211, 42493, 6235, 4484, 41595, 4231, 29789, 109636, 1211, 1211, 26612, 5332, 165592, 26612, 77208, 9934, 21106, 12483, 77014, 148346, 12483, 76961, 114955, 119055, 59929, 10339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8903, 1211, 42493, 6, 54260, 4113, 17645, 13845, 16932, 12483, 711, 141943, 4113, 2451, 202824, 4113, 2451, 29257, 2808, 6, 23173, 304, 4667, 2050, 6, 119859, 54561, 112216, 710, 77928, 3523, 33809, 29789, 119055, 46646, 6655, 1470, 33809, 54561, 123073, 6, 148346, 12415, 35189, 2205, 4151, 3131, 54260, 13497, 119055, 75230, 70598, 54260, 74004, 16, 6235, 99176, 109636, 1211, 6, 4, 163139, 2808, 6428, 33809, 81455, 26612, 6, 148346, 22426, 3131, 22426, 5666, 109636, 2932, 112711, 151614, 148346, 12483, 220224, 2808, 6235, 88660, 13497, 1470, 33809, 74813, 33809, 51723, 6, 4, 1470, 33809, 5666, 233364, 33809, 8903, 710, 6, 148346, 13845, 16804, 37826, 220224, 2808, 10339, 33809, 1211, 1470, 33809, 23405, 105330, 6235, 45629, 18415, 4113, 29060, 5, 4484, 33809, 22426, 33809, 29060, 10339, 33809, 1211, 6, 21106, 18415, 364, 54260, 7972, 8903, 15864, 3111, 31467, 131002, 710, 22426, 96986, 2648, 31212, 6, 121709, 36326, 56040, 3149, 5, 2451, 20191, 568, 501, 20861, 14, 568, 71, 568, 217, 4231, 22426, 26612, 15907, 33809, 54260, 4113, 54260, 29789, 4599, 16635, 11, 2477, 27336, 73, 6, 29060, 6, 12483, 4113, 54260, 54260, 4113, 137218, 6, 5, 910, 11213, 33, 2628, 54260, 54260, 26612, 6, 76776, 6, 5, 710, 4838, 54260, 710, 6, 5, 4801, 5, 5, 208048, 54260, 26612, 710, 308, 11, 748, 18790, 71734, 5, 104, 5, 23788, 11, 5, 10, 6624, 1724, 11, 2832, 5, 5, 10339, 3117, 12183, 15638, 292, 2808, 5, 26612, 1285, 75290, 1751, 119718, 20961, 89930, 119055, 14081, 165354, 3056, 6681, 3131, 80453, 54260, 2882, 6235, 159696, 1211, 230764, 20315, 26612, 145813, 26632, 5332, 119718, 9221, 123103, 155, 6, 4, 2205, 198754, 12483, 7265, 12483, 45223, 12483, 169532, 3056, 6, 105780, 82576, 8903, 26612, 905, 26612, 905, 12483, 6, 4, 4838, 6235, 10069, 4944, 18415, 71070, 2808, 25207, 6655, 6681, 16629, 13845, 2882, 6, 148222, 8248, 31467, 42023, 6, 4, 2200, 22426, 15350, 364, 54260, 168155, 39484, 31467, 12483, 6, 148222, 1470, 54260, 5666, 119718, 2808, 75230, 59461, 132025, 2932, 21660, 33809, 16747, 12483, 3944, 40920, 153, 42493, 71577, 54260, 3069, 31467, 3944, 148346, 124724, 74806, 174410, 148346, 65482, 54745, 1211, 36324, 75230, 2808, 6, 75230, 2808, 6, 148222, 364, 54260, 7972, 8903, 22426, 33809, 5927, 9915, 54260, 148346, 2882, 6, 159696, 8903, 1211, 874, 171665, 850, 6, 148346, 28317, 850, 2205, 198086, 8300, 17698, 2442, 24843, 98071, 2050, 6, 4, 36324, 75230, 2808, 3056, 6235, 4113, 12483, 95766, 163139, 2442, 123103, 6, 4, 2181, 3056, 6319, 54260, 1211, 364, 75230, 4852, 6235, 159696, 104149, 119055, 46646, 6, 94741, 33716, 3056, 42493, 26612, 33809, 710, 49008, 123736, 20315, 26612, 14856, 46244, 123073, 14856, 110970, 12483, 74806, 174410, 148346, 12483, 4838, 22518, 37016, 149010, 48775, 33809, 148346, 12483, 5666, 40096, 54260, 7972, 149364, 41764, 119273, 6655, 2205, 191069, 1470, 75230, 2702, 8903, 148346, 45629, 4944, 12483, 6, 4, 6235, 4852, 33809, 194734, 24621, 110970, 12483, 43649, 23173, 39340, 45223, 20315, 1211, 220224, 49008, 6235, 22426, 14081, 12483, 163139, 2808, 6, 74004, 183216, 230764, 10676, 109636, 71804, 364, 33809, 75230, 10676, 14856, 110970, 12483, 119055, 46646, 9915, 54260, 2882, 220224, 2808, 6, 4, 4151, 16175, 75230, 2882, 6655, 4484 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2882, 42493, 41764, 20961, 3131, 75230, 13497, 6, 4, 8947, 9934, 75230, 8903, 1211, 162726, 33809, 34709, 33809, 23405, 74806, 174410, 148346, 12483, 2205, 1470, 54260, 1211, 119718, 8580, 4838, 4231, 33809, 23405, 6093, 6319, 47351, 1470, 33809, 5666, 2205, 3069, 54260, 18415, 364, 75230, 4852, 4838, 4231, 33809, 5666, 8903, 6235, 4852, 33809, 194734, 32054, 75230, 43178, 54260, 109636, 26612, 895, 16932, 4113, 14856, 110970, 12483, 1470, 33809, 5666, 114955, 6, 5, 6, 64260, 39484, 31467, 12483, 220224, 2808, 6235, 8903, 2702, 12483, 4, 23269, 137218, 33809, 183216, 5332, 2205, 4838, 9424, 75230, 2882, 10339, 33809, 1211, 206105, 6, 117397, 33809, 2882, 39484, 31467, 12483, 220224, 2808, 7746, 17645, 54260, 41595, 4838, 905, 33809, 22426, 2884, 6, 148346, 29060, 1470, 33809, 5666, 151614, 148346, 12483, 4838, 54260, 5666, 8903, 31249, 68561, 12483, 230764, 1470, 54260, 148346, 18640, 6, 4, 220224, 137218, 710, 12483, 4231, 119718, 1211, 9424, 54260, 2882, 42493, 174246, 3069, 31467, 7508, 54260, 20315, 1211, 6, 4, 3069, 31467, 220771, 12483, 5332, 46646, 6, 54260, 26632, 33809, 2882, 4269, 54260, 5332, 4838, 12483, 6655, 3523, 33809, 2442, 221387, 1470, 54260, 1211, 119055, 101503, 137, 26612, 87637, 1470, 33809, 5666, 64890, 171665, 506, 89184, 22426, 109636, 1211, 5332, 75230, 26612, 1285, 26612, 874, 33809, 16747, 41764, 20961, 28714, 15907, 230764, 5332, 119718, 24295, 711, 292, 47351, 4231, 114436, 39484, 31467, 12483, 6, 148222, 4231, 33809, 20315, 2205, 163139, 2442, 147502, 6235, 119718, 2808, 75230, 13497, 132, 171665, 13456, 33809, 6293, 44917, 54561, 16, 1470, 4113, 8903, 4852, 33809, 83182, 2882, 5, 4113, 4838, 1054, 71577, 46677, 4852, 33809, 83182, 2882, 10339, 33809, 1211, 42355, 43649, 64260, 6, 148346, 9221, 61397, 6, 54260, 2808, 3056, 6235, 159696, 1211, 39384, 71804, 710, 22426, 2882, 8300, 33809, 119055, 2808, 75230, 49008, 2205, 39384, 6093, 6235, 2882, 96256, 6, 4, 4838, 6, 148346, 48350, 33809, 152848, 8903, 43649, 40096, 120202, 54260, 54260, 1644, 33809, 7511, 119718, 23829, 4838, 6319, 8903, 22426, 192900, 6, 4, 1285, 12483, 55242, 1644, 96986, 10339, 147713, 2882, 4838, 4231, 33809, 2648, 10339, 33809, 1211, 23050, 22426, 15231, 4838, 26612, 905, 33809, 22426, 2932, 54260, 1211, 2205, 191069, 6, 4, 6, 238144, 1644, 6, 148222, 6, 148346, 9221, 61397, 39484, 31467, 12483, 220224, 2808, 6235, 85465, 22426, 2882, 5332, 41764, 15350, 67882, 5594, 26632, 6235, 99176, 109636, 1211, 119055, 12483, 4838, 4231, 33809, 2648, 6655, 6235, 2865, 33809, 4852, 2882, 4269, 54260, 1211, 2205, 43649, 40096, 1054, 26612, 26612, 26612, 1285, 148346, 9221, 61397, 151614, 148346, 12483, 6235, 119718, 2808, 75230, 13497, 6, 4, 10339, 147713, 12483, 1470, 30682, 6, 148346, 4113, 22426, 14081, 12483, 4269, 119718, 33809, 109636, 4838, 33809, 177243, 54260, 23269, 6, 148346, 9221, 61397, 4838, 73256, 39484, 31467, 12483, 220224, 2808, 3523, 33809, 2442, 74806, 52480, 22426, 22426, 18415, 4838, 33809, 5666, 4838, 6, 137218, 10125, 26612, 148346, 12483, 220224, 70845, 74806, 17410, 8903, 1211, 7265, 1285, 364, 141943, 4838, 29771, 6093, 7265, 4838, 105235, 8903, 1211, 5332, 2808, 33809, 5666, 4838, 6, 200651, 151614, 148346, 12483, 220224, 2808, 1470, 30682, 6235, 119718, 20961, 55823, 1211, 43649, 54260, 59461, 5332, 6, 17645, 26612, 4231 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33809, 5666, 4838, 137218, 119718, 448, 6, 84577, 17410, 109636, 1211, 6235, 4113, 20961, 12483, 10339, 33809, 1211, 220224, 2808, 6, 4, 7265, 66334, 448, 6655, 6, 12483, 4838, 137218, 59461, 29060, 29060, 10339, 33809, 1211, 16175, 75230, 2882, 6, 4, 7369, 10339, 147713, 2882, 37189, 17017, 6, 148346, 43178, 3131, 12483, 186046, 1285, 6, 54260, 26612, 119055, 2808, 16932, 3056, 5, 123736, 148346, 8903, 4484, 33809, 51723, 7265, 4838, 6, 71804, 4667, 2205, 60980, 22426, 4838, 148346, 710, 6, 12483, 4838, 54260, 8903, 148346, 7972, 148346, 12483, 17190, 148346, 12483, 6, 5, 95766, 6, 17645, 61397, 9424, 54260, 2882, 1054, 46646, 6, 148222, 4231, 33809, 20315, 1211, 220224, 49008, 6235, 159696, 1211, 32899, 54260, 26612, 98833, 4838, 26612, 26612, 64044, 145168, 98833, 10339, 33809, 1211, 124724, 43649, 64260, 6, 148346, 54260, 59461, 151614, 148346, 12483, 7746, 6235, 22426, 33809, 49008, 3523, 33809, 22426, 506, 6093, 8300, 8903, 6, 148346, 9221, 61397, 1054, 46646, 22753, 39484, 31467, 12483, 6319, 54260, 1211, 6, 200651, 4838, 4231, 33809, 20315, 1211, 42493, 6, 148346, 15350, 54260, 4113, 33809, 13497, 37922, 54260, 1211, 620, 91595, 13159, 6235, 146887, 6, 4, 130363, 20616, 33716, 6, 4, 220224, 2808, 151614, 148346, 12483, 34654, 1211, 4838, 3523, 75230, 2882, 148346, 77928, 56169, 6, 75230, 26612, 4231, 33809, 20315, 1211, 6, 5, 119055, 12483, 4838, 4231, 33809, 2648, 3056, 6235, 4484, 33809, 51723, 3069, 31467, 220224, 26612, 34654, 1211, 163139, 1211, 5332, 85465, 148346, 12483, 220224, 2808, 123736, 30682, 5, 7369, 12666, 33809, 148346, 2882, 6, 148346, 54260, 2808, 6, 15533, 23829, 7746, 3069, 31467, 56170, 148346, 26612, 2932, 8903, 1211, 41764, 33809, 1211, 6, 54260, 1211, 59919, 22426, 14081, 61397, 6, 4, 119055, 12483, 124724, 4269, 33809, 2882, 49920, 10918, 8903, 6, 148346, 9221, 61397, 58826, 109636, 1211, 6, 17645, 26612, 26612, 26612, 33809, 15907, 7201, 33809, 1211, 4838, 3523, 54260, 4113, 6, 119038, 506, 230764, 6, 148222, 4231, 33809, 20315, 1211, 6, 4, 39484, 31467, 12483, 220224, 26612, 6, 148346, 69803, 112216, 26612, 54260, 26612, 15907, 148222, 6, 74004, 107581, 6, 68558, 110167, 4231, 33809, 20315, 1211, 1470, 33809, 5666, 6428, 33809, 2442, 133324, 46598, 1285, 49008, 6, 148222, 4231, 33809, 20315, 1211, 41764, 15350, 4231, 21106, 61397, 29060, 29060, 6235, 4113, 20961, 12483, 10339, 33809, 1211, 1470, 33809, 23405, 105330, 4, 16175, 54260, 1644, 39384, 2808, 14779, 109636, 1211, 4838, 137218, 6, 65442, 54260, 6, 24295, 54260, 25207, 159696, 1211, 6428, 33809, 5666, 4667, 6235, 67873, 4, 84475, 364, 33809, 4484, 33809, 17824, 75230, 36419, 41764, 45629, 18415, 2932, 42180, 4838, 33809, 5666, 3523, 40096, 4231, 40096, 4852, 54260, 2808, 41764, 15350, 73256, 6235, 506, 21106, 109636, 1211, 2205, 220224, 6093, 3523, 75230, 28320, 148222, 43649, 40096, 6, 148346, 9221, 61397, 6, 171428, 221387, 5332, 59929, 15750, 2808, 7213, 37016, 54260, 17645, 152440, 20260, 54260, 15907, 119055, 46646, 364, 15907, 6235, 2882, 54260, 2882, 2205, 43649, 40096, 16175, 75230, 39293, 113889, 4113, 6, 17645, 110970, 12483, 4838, 132, 148346, 13456, 33809, 6293, 44917, 54561, 16, 1054, 26612, 137218, 190, 17612, 40096, 6, 54260, 8580, 4838, 54260, 76776, 93975, 1211, 4231, 33809, 710, 12483, 42493, 132025, 8903, 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 ]
[ 166198, 64769, 15907, 7508, 54260, 1211, 4231, 33809, 2648, 3056, 41764, 33809, 1211, 54260, 26612, 6, 54260, 48904, 2932, 54260, 15907, 74806, 57277, 26612, 148346, 12483, 5332, 14779, 109636, 1211, 220224, 26612, 24857, 2205, 132025, 7201, 48904, 46677, 119718, 26612, 33809, 152848, 15907, 5332, 6, 76776, 171665, 29771, 29060, 4231, 40096, 5332, 26632, 220224, 43649, 2808, 37016, 1211, 41764, 2808, 124470, 4113, 4113, 46646, 12483, 657, 1470, 33809, 5666, 5666, 71577, 17645, 26612, 4838, 54260, 49008, 5332, 119718, 26612, 6, 17645, 26612, 58826, 26612, 2205, 6, 148346, 29060, 6235, 119718, 2808, 29771, 12483, 5332, 220224, 2808, 6, 137218, 148346, 12483, 171433, 8903, 22426, 26612, 183216, 3523, 33809, 19302, 4113, 101328, 12483, 1285, 26612, 4838, 33809, 17645, 2808, 17645, 6, 17645, 26612, 10339, 33809, 1211, 2205, 6, 119859, 69106, 191069, 710, 71577, 12483, 76961, 41764, 18640, 8903, 26612, 6, 238197, 21776, 8903, 1211, 10676, 6, 4, 148932, 4231, 26632, 6235, 170355, 2932, 57277, 6, 76776, 142170, 26612, 6, 54260, 17171, 31467, 43178, 5332, 119055, 46646, 4838, 54260, 59461, 6655, 6235, 119718, 186955, 364, 15907, 7369, 23050, 8903, 2882, 6, 137218, 54260, 26612, 93975, 6, 54260, 5666, 8903, 26612, 364, 26612, 148346, 12483, 23050, 74004, 98833, 4838, 4231, 40096, 6, 148346, 54260, 1285, 4838, 33809, 20315, 1211, 220224, 49008, 41764, 20961, 17537, 71577, 3131, 22426, 54260, 5332, 15750, 40096, 220224, 2808, 115222, 8903, 1211, 41764, 76526, 33809, 25603, 8903, 1211, 10676, 46855, 22426, 2648, 6, 71577, 14303, 6, 12483, 4113, 21106, 4231, 33809, 26612, 6, 54260, 26612, 42493, 6319, 33809, 51723, 5332, 4838, 152848, 8903, 58826, 148346, 12483, 23050, 74004, 98833, 19024, 2882, 6, 148346, 54260, 2808, 26612, 54260, 12483, 5332, 54260, 49008, 41764, 14004, 17537, 3523, 33809, 18415, 19024, 20911, 75230, 16847, 6, 148346, 15533, 3069, 31467, 2050, 5332, 152848, 39484, 31467, 12483, 220224, 2808, 22426, 92605, 17645, 26612, 15907, 5332, 26612, 710, 6, 54260, 26612, 6, 54260, 20315, 1211, 39484, 31467, 12483, 1751, 33809, 50853, 2205, 6, 54260, 2808, 191069, 6, 148346, 9221, 61397, 64310, 48904, 4484, 54260, 15907, 5332, 4838, 33809, 905, 22426, 220224, 2808, 43649, 23173, 148346, 12483, 36324, 75230, 2808, 84087, 6, 148346, 9221, 61397, 2205, 191069, 26612, 75230, 26612, 4231, 71577, 12483, 6235, 4852, 33809, 13497, 3069, 31467, 2808, 67882, 4944, 12483, 4838, 6, 148346, 1644, 148346, 33809, 1644, 230764, 42355, 4231, 33809, 49008, 6, 4, 1470, 33809, 76776, 1211, 18225, 4838, 33809, 22426, 2882, 6235, 22426, 33809, 13497, 18225, 5332, 1054, 220224, 2808, 14779, 109636, 1211, 2190, 33809, 2882, 8903, 57277, 115536, 4838, 3523, 54260, 46598, 15350, 22426, 26612, 710, 4838, 75230, 1211, 6, 54260, 26612, 4231, 33809, 20315, 1211, 58826, 2702, 220224, 6, 33353, 109636, 1211, 2181, 2205, 1285, 6, 148346, 75230, 23269, 46685, 4113, 26612, 33809, 5666, 4838, 33809, 905, 22426, 4231, 33809, 26612, 41764, 32829, 23741, 4113, 18415, 119055, 46646, 6093, 119055, 46646, 124724, 191069, 6, 148346, 9221, 61397, 137218, 45619, 12483, 5332, 1054, 29789, 12483, 220224, 2808, 6681, 7511, 22426, 18415, 2882, 19532, 43649, 2808, 4113, 148346, 12483, 6, 5, 26612, 8580, 6, 137218, 137218, 4231, 33809, 5666, 7201, 16175, 75230, 39293, 16747, 6, 4, 364, 33809, 83182, 2882, 7265, 3523, 54260, 109985 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 76776, 6293, 6, 148222, 26612, 17645, 7972, 6, 17645, 23829, 22426, 33809, 23405, 5332, 4838, 33809, 2882, 27016, 151614, 3131, 6, 157245, 6, 76632, 220224, 49008, 6235, 4484, 33809, 51723, 137218, 40697, 5332, 26612, 33809, 22426, 4838, 33809, 5666, 4231, 71577, 12483, 150764, 58826, 2702, 9934, 75230, 26612, 39484, 31467, 12483, 6235, 39293, 42023, 6, 5, 29060, 17645, 109636, 4838, 33809, 710, 12483, 4838, 54260, 8903, 1211, 41764, 54260, 5332, 62067, 4838, 9183, 33809, 2702, 8903, 76776, 183216, 41764, 33809, 1211, 220224, 6093, 23050, 2882, 57277, 4113, 26612, 33809, 26612, 4838, 54260, 26612, 4838, 75230, 49008, 6235, 240863, 12483, 2205, 191069, 3069, 31467, 710, 6, 54260, 2808, 6, 148346, 2442, 71512, 46685, 1470, 33809, 1211, 26612, 71577, 12483, 23050, 137218, 71577, 12483, 2200, 220224, 2808, 6, 29060, 3069, 31467, 41764, 48340, 42733, 96986, 123736, 46646, 119055, 46646, 6093, 1470, 33809, 1211, 710, 33809, 22426, 710, 4231, 29060, 123736, 8580, 6235, 26612, 905, 26612, 8903, 1211, 54745, 1211, 4838, 23405, 150541, 2205, 191069, 6, 5, 17645, 710, 6, 137218, 710, 22426, 2882, 57277, 1211, 10339, 33809, 1211, 43649, 40096, 4231, 40096, 6, 54260, 26612, 23050, 22426, 8903, 98833, 5332, 4113, 75903, 43590, 33809, 2050, 11211, 57277, 137218, 26612, 6, 54260, 26612, 4231, 33809, 109636, 1211, 42493, 6, 17645, 22426, 2882, 64769, 33809, 710, 12483, 705, 4113, 22426, 13456, 33809, 22426, 6, 76776, 710, 47351, 6, 238144, 1644, 2451, 305, 6, 7961, 5332, 54260, 1644, 20033, 220224, 49008, 6235, 159696, 1211, 3523, 33809, 133814, 4944, 54260, 2808, 4838, 26612, 4838, 6, 137218, 710, 12483, 6, 54260, 26612, 16870, 33809, 609, 150764, 292, 1470, 33809, 5666, 24012, 14004, 7511, 49008, 6235, 159696, 1211, 6, 26394, 42023, 4231, 47351, 4838, 2451, 119055, 23173, 33809, 2050, 4231, 40096, 11265, 42493, 74806, 12415, 12483, 705, 292, 4231, 40096, 6, 17645, 26612, 4838, 33809, 710, 22426, 710, 22426, 8580, 8903, 22680, 4113, 98833, 292, 119055, 12483, 9213, 46244, 119055, 158291, 15864, 4944, 12483, 4838, 6235, 119718, 14081, 20315, 75903, 21106, 109636, 1211, 4231, 71577, 46590, 6, 148346, 9221, 61397, 3069, 31467, 74004, 2865, 141847, 13845, 68561, 12483, 6, 4, 119055, 14081, 96986, 220224, 2808, 6235, 119718, 21292, 76961, 4231, 68438, 710, 33809, 5, 12483, 6235, 22426, 2808, 183216, 6, 5, 2451, 20033, 151614, 148346, 12483, 874, 151461, 174246, 3069, 31467, 22518, 75230, 4113, 4838, 3373, 71577, 12483, 6, 54260, 5332, 26612, 26612, 93975, 35596, 59919, 2882, 292, 6, 238144, 1644, 220224, 2808, 39484, 31467, 12483, 2205, 220224, 123073, 4231, 141943, 6235, 137218, 54260, 12483, 56914, 55823, 14856, 101608, 6, 4, 220224, 2808, 165097, 96986, 1470, 33809, 54561, 6235, 119718, 21292, 5332, 22426, 22426, 137218, 710, 29060, 5332, 2451, 9213, 46244, 6, 159696, 21295, 7369, 4484, 171428, 6, 148222, 6, 26394, 42023, 6, 1211, 4231, 4838, 26612, 4231, 40096, 35189, 364, 75230, 22426, 2882, 133111, 6235, 7201, 148346, 35596, 6, 5, 2451, 76961, 6, 238144, 2702, 12483, 95094, 42493, 2451, 5594, 2808, 148346, 12483, 1285, 6, 20616, 33809, 710, 4231, 12483, 26612, 98833, 6, 48904, 33809, 2442, 9424, 238144, 2808, 29434, 54260, 2808, 4231, 33809, 20315, 1211, 119055, 14081, 18415, 6, 5, 20033, 161048, 4484, 62067, 4838, 2451, 1470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 148346, 36324, 75230, 2808, 292, 37826, 4151, 364, 75230, 22426, 2882, 212915, 6235, 4113, 26612, 98833, 4838, 6, 75230, 29789, 12483, 62808, 6, 87311, 95064, 1211, 6, 148346, 14081, 2648, 2205, 4151, 40026, 506, 3523, 54260, 1211, 2205, 6235, 22426, 57277, 4838, 33809, 49008, 6, 54260, 26612, 710, 33809, 20315, 1211, 199145, 9213, 46244, 1054, 29060, 7369, 4484, 171428, 6, 4, 20033, 5332, 109316, 1211, 4838, 54260, 26612, 6, 137218, 15907, 5332, 137218, 4113, 26612, 506, 101503, 6, 148346, 79238, 99176, 55823, 1211, 6, 4, 5, 99509, 54260, 40920, 49027, 12483, 5332, 137218, 22753, 22426, 6, 54260, 54260, 5332, 54260, 1211, 4838, 54260, 22426, 20315, 2050, 17824, 75230, 41643, 56880, 41764, 20961, 148346, 25207, 1982, 12483, 6, 4, 1470, 33809, 5666, 1470, 75230, 148346, 22753, 76776, 364, 26612, 148346, 12483, 4231, 40096, 6235, 22426, 8580, 5332, 159696, 1644, 12483, 20033, 6, 54260, 2808, 16175, 54260, 4113, 12483, 6, 4, 1470, 36909, 31212, 4231, 33809, 5666, 8903, 1470, 33809, 2932, 6, 21106, 109636, 4838, 41764, 9183, 26612, 137218, 4838, 33809, 20260, 710, 83182, 119055, 109316, 1211, 20033, 1751, 91595, 12483, 6, 47351, 6, 90848, 53896, 1211, 6, 4, 6, 71577, 54260, 33809, 39384, 6, 54260, 93975, 26612, 6, 137218, 45619, 23269, 49481, 2205, 874, 33809, 16932, 657, 75230, 148346, 119055, 109316, 1211, 41764, 15350, 12483, 3069, 31467, 22426, 6, 95494, 137218, 41764, 33809, 1211, 4838, 26612, 137218, 54260, 79238, 159696, 2442, 20315, 6, 5, 8947, 119055, 213783, 10339, 33809, 1211, 6, 54260, 26612, 6319, 54260, 1211, 4838, 54260, 109985, 4113, 26612, 6, 54260, 54260, 172060, 26612, 6, 17645, 109636, 1211, 5332, 62808, 60980, 8903, 1211, 6, 23173, 22518, 37016, 149010, 196511, 220224, 2808, 42493, 112216, 54260, 137218, 54260, 8903, 26612, 26612, 132, 22426, 13456, 33809, 6293, 44917, 65442, 16, 6, 54260, 710, 2451, 361, 292, 54260, 26612, 4231, 33809, 2648, 40697, 6235, 2865, 54260, 152848, 1470, 33809, 1211, 163139, 2442, 72107, 151614, 148346, 12483, 6235, 506, 40096, 145813, 55546, 12130, 26612, 26612, 26612, 6, 80453, 16667, 448, 5332, 5332, 46646, 6, 54260, 39484, 31467, 12483, 174246, 4838, 4113, 23174, 122978, 6, 148346, 54260, 1285, 17824, 13159, 18415, 17645, 110970, 12483, 4838, 8580, 43649, 40096, 5332, 119055, 2808, 33809, 220224, 2808, 14779, 109636, 1211, 6235, 148346, 2442, 75230, 40920, 6319, 33809, 51723, 1470, 33809, 5666, 6, 54260, 710, 71577, 12483, 23050, 22426, 33809, 8903, 1211, 124724, 16175, 9221, 6681, 31249, 46646, 12483, 153, 39484, 31467, 12483, 220224, 2808, 6235, 506, 40096, 26612, 7265, 13845, 3069, 31467, 5332, 22426, 171428, 1211, 4, 10676, 7265, 13845, 6655, 4, 18225, 6, 61397, 33809, 55823, 1211, 137, 8903, 50853, 6, 4, 159696, 1211, 5332, 75230, 26612, 3069, 31467, 148620, 6, 238197, 1470, 33809, 1211, 7369, 6655, 42493, 221387, 4113, 54260, 4113, 26612, 4113, 15750, 54260, 5332, 10339, 147713, 12483, 6, 148222, 10676, 7265, 13845, 3069, 31467, 1644, 54260, 8903, 1211, 42493, 3523, 54260, 2882, 10339, 33809, 1211, 4113, 54260, 8903, 4838, 75230, 4113, 75230, 1211, 6655, 4231, 114436, 6, 148346, 14081, 2648, 4151, 364, 77188, 6, 4, 4151, 7265, 13845, 5, 163139, 2442, 20911, 3111, 31467, 4231, 29060, 3069, 31467, 26612, 1751, 76776, 506, 6, 4, 24857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16175, 54260, 6093, 6093, 7265, 13845, 119055, 46646, 95138, 26612, 54260, 7511, 4231, 40096, 4838, 30682, 7265, 42355, 132025, 7758, 7369, 7201, 33809, 16747, 12483, 4, 76961, 6, 192539, 8580, 3131, 33809, 22426, 3523, 71577, 54745, 1211, 9424, 54260, 2882, 6, 4, 123736, 148346, 6093, 4151, 7265, 13845, 119055, 77188, 42493, 6681, 192539, 2882, 6, 4, 4113, 26612, 15622, 29789, 57277, 42493, 6, 186955, 42493, 43649, 2808, 4667, 5332, 41764, 20961, 39340, 506, 33716, 7369, 3056, 177274, 1211, 97483, 5666, 238144, 3523, 54260, 26612, 6235, 148346, 20961, 12483, 4113, 159308, 125523, 874, 115731, 32054, 40697, 30109, 4113, 22426, 96986, 6, 5, 5666, 5, 144754, 4231, 13159, 16175, 54260, 4113, 26612, 12483, 7265, 13845, 220224, 49008, 6, 148222, 6, 80453, 16667, 448, 23050, 185337, 12483, 119718, 26612, 26612, 5332, 54260, 26612, 6, 137218, 148346, 12483, 23050, 29771, 158291, 6, 4, 2205, 10339, 54260, 6093, 2205, 119055, 59929, 6093, 6, 4, 2205, 364, 45631, 2205, 26612, 13845, 2882, 5332, 9213, 6, 54260, 26612, 5332, 6235, 109636, 80453, 1644, 33809, 171665, 80885, 7369, 16932, 3069, 31467, 6, 75230, 3131, 12483, 620, 26612, 183216, 1470, 33809, 5666, 54260, 233364, 54260, 1644, 12483, 4113, 3069, 31467, 2932, 119055, 40697, 1211, 16175, 127684, 8580, 1470, 33809, 5666, 364, 54260, 68561, 40697, 6, 4, 24012, 2808, 24012, 49008, 8903, 4113, 12483, 4838, 33809, 17645, 26612, 6428, 59929, 4231, 119718, 49008, 119055, 29060, 4838, 75230, 2808, 6319, 54260, 1211, 620, 91595, 13159, 6, 207682, 6, 4, 6, 238144, 1644, 17645, 26612, 7265, 13845, 3056, 4838, 3523, 119718, 710, 36419, 3373, 3111, 31467, 10125, 3069, 31467, 2808, 76961, 1470, 33809, 23405, 105330, 12483, 6, 5, 6, 5, 6, 5, 26612, 710, 6, 54260, 26612, 6, 80453, 16667, 448, 151614, 148346, 12483, 221387, 10339, 33809, 1211, 6, 148222, 3523, 54260, 4113, 41764, 14081, 36326, 8009, 33809, 609, 4113, 15907, 6, 137218, 8903, 1211, 6, 47351, 5332, 54260, 2808, 39484, 31467, 12483, 6235, 39293, 42023, 41764, 9183, 2808, 112389, 2882, 6, 238144, 6, 26394, 42023, 3523, 33809, 20315, 1211, 17645, 710, 71577, 35596, 7265, 1751, 23173, 55823, 1751, 159696, 2442, 20315, 220224, 49008, 6235, 185337, 12483, 2205, 1751, 57277, 57277, 33809, 710, 4231, 71577, 12483, 6235, 119718, 2808, 148346, 109636, 1211, 3373, 2050, 2205, 180403, 6, 148346, 2442, 33809, 23269, 16932, 3069, 31467, 4, 6681, 7511, 22426, 96986, 5666, 54260, 4838, 905, 71577, 4113, 26612, 5332, 58826, 710, 12483, 124724, 6, 80453, 16667, 448, 6, 148346, 14081, 2442, 41764, 2808, 112956, 12483, 36324, 6, 148346, 21106, 20315, 54260, 3131, 33809, 6293, 44917, 54561, 16, 85465, 148346, 12483, 2451, 657, 292, 85465, 17645, 6235, 3111, 31467, 51723, 10676, 137, 144754, 13845, 155, 2205, 364, 104274, 6, 4, 4838, 6, 139485, 33809, 36419, 112216, 54260, 710, 17537, 4838, 33809, 54561, 54260, 2808, 220224, 49008, 4838, 159696, 4484, 8903, 185337, 12483, 3069, 31467, 10676, 4636, 2932, 80264, 710, 4879, 3523, 71577, 4838, 75230, 25603, 4838, 35189, 13278, 2865, 33809, 1211, 74806, 22426, 17645, 21295, 4838, 5332, 21106, 17645, 5332, 5332, 12483, 6, 12483, 4231, 40096, 8903, 4852, 41595, 6, 148222, 6, 148346, 9221, 61397, 36324, 4269, 26632, 163139, 1644, 42493, 220224, 2808, 55242, 1644, 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 ]
[ 16175, 47351, 1751, 17645, 22426, 17645, 22426, 148222, 4231, 33809, 20315, 1211, 6, 4, 151614, 148346, 12483, 6, 148222, 6, 148346, 9221, 61397, 1470, 30682, 6235, 145168, 13497, 5332, 6319, 75230, 23269, 26612, 41764, 33809, 1211, 6, 54260, 26612, 148346, 9221, 61397, 6655, 7746, 204982, 7369, 1644, 75230, 148346, 2882, 3069, 31467, 2808, 6, 207682, 4838, 25933, 4667, 6235, 8903, 1211, 4231, 29060, 4838, 905, 33809, 710, 12483, 7201, 33809, 1211, 13278, 26892, 6, 4, 7369, 3056, 6, 148346, 54260, 2808, 6, 54260, 2808, 6235, 159696, 1211, 4838, 9183, 51735, 5332, 4838, 41764, 2808, 79238, 54260, 17645, 26612, 8903, 8903, 1211, 3523, 26632, 1470, 33809, 5666, 39384, 2808, 6, 5, 7511, 2882, 1470, 54260, 1211, 73256, 4231, 9174, 26632, 4151, 6235, 36419, 18415, 2882, 4838, 137218, 4231, 33809, 710, 12483, 41764, 33809, 1211, 2808, 33809, 23405, 105330, 6, 4, 1054, 12483, 6, 148222, 6, 148346, 9221, 61397, 24012, 49008, 6235, 4113, 12483, 4113, 41764, 77188, 24295, 3069, 31467, 710, 6, 17645, 22426, 26612, 710, 12483, 148222, 6235, 2882, 96256, 7265, 1470, 56914, 55823, 1211, 1751, 159696, 38054, 6, 130734, 8903, 1211, 11211, 4231, 33809, 20315, 1211, 5332, 4231, 40096, 5332, 4113, 26612, 506, 2932, 85744, 6, 148222, 6681, 74004, 24621, 21295, 2205, 6235, 148346, 29060, 364, 75230, 4852, 6, 4, 19024, 710, 96986, 4231, 40096, 6, 12483, 4838, 54260, 26612, 8903, 74004, 98833, 19302, 33809, 8903, 7508, 54260, 2648, 6, 4, 7369, 9174, 26632, 220224, 1211, 74806, 119718, 20961, 12483, 41764, 54260, 26612, 3523, 54260, 1211, 5332, 26612, 8903, 1211, 119718, 54196, 36324, 4269, 26632, 1054, 29060, 220224, 2808, 6, 148346, 79238, 99176, 109636, 1211, 119055, 12483, 9934, 75230, 26612, 119055, 109316, 1211, 6, 54260, 1211, 31249, 91595, 13159, 6, 148222, 1470, 33809, 110970, 33809, 1644, 196332, 4231, 33809, 20315, 1211, 6, 4, 162726, 35596, 4151, 6, 137218, 710, 12483, 41764, 54260, 26612, 6, 54260, 26612, 148346, 9221, 61397, 6, 148346, 14081, 2648, 74806, 15231, 21295, 119055, 6093, 12483, 6, 5, 148222, 6, 80453, 16667, 448, 7265, 6, 148222, 145813, 55546, 12130, 220224, 49008, 6235, 4484, 33809, 51723, 5332, 33809, 26612, 6, 17645, 23093, 13497, 2884, 2205, 21422, 1211, 41764, 14081, 2808, 7611, 5, 4, 21422, 2808, 39484, 31467, 12483, 9213, 3149, 2050, 6235, 18415, 14004, 12483, 4231, 75230, 26612, 6, 17645, 22426, 2882, 75230, 6093, 42572, 33809, 1211, 42355, 364, 75230, 4852, 6, 4, 163139, 7369, 6655, 220224, 2808, 4151, 55242, 42023, 123736, 26612, 710, 6, 12483, 23050, 22426, 54260, 109636, 1211, 29659, 54260, 1211, 6, 148346, 54260, 2808, 10676, 16175, 75230, 6093, 6, 5, 2451, 119055, 46646, 6681, 3523, 33809, 18415, 39384, 13159, 6655, 9213, 46244, 20033, 6235, 148346, 76776, 15907, 4838, 4231, 40096, 35189, 13278, 26892, 32054, 54260, 16747, 32792, 6235, 22680, 4113, 98833, 292, 1470, 54260, 6093, 6319, 33809, 51723, 3069, 31467, 6, 54260, 26612, 4838, 54260, 710, 42493, 2808, 33809, 112304, 64567, 16803, 6, 4, 25933, 93509, 54260, 5666, 32792, 6655, 6, 148346, 54260, 1470, 54260, 4667, 4838, 3523, 54260, 6093, 1470, 33809, 23405, 105330, 6235, 54260, 71577, 12483, 4838, 2451, 26612, 4667, 17824, 75230, 101608, 6, 5, 10367, 26892, 711, 292, 6655, 4838, 54260, 23269, 26612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41764, 33809, 1211, 6, 54260, 26612, 1751, 109636, 54260, 15907, 7511, 4852, 84577, 2451, 483, 292, 23269, 4852, 84577, 7508, 230764, 1470, 33809, 54561, 123736, 25207, 24621, 6, 109316, 152848, 155787, 12483, 41764, 62067, 123736, 12483, 6, 21660, 57277, 3523, 54260, 29060, 6, 15350, 148346, 33809, 1644, 41764, 14081, 36326, 8009, 33809, 609, 220771, 12483, 6, 5, 24857, 6, 109600, 39484, 31467, 12483, 6235, 4113, 20961, 109636, 1211, 54260, 6, 54260, 1211, 11211, 6, 148346, 2442, 71512, 18415, 22426, 3069, 31467, 6681, 3111, 31467, 23741, 12483, 24857, 5332, 46646, 6093, 6, 5, 1470, 33809, 5666, 19024, 12415, 148346, 89184, 40096, 4838, 75230, 2702, 8903, 148346, 45629, 4944, 12483, 2205, 191069, 4838, 3523, 54260, 4113, 6, 78683, 112711, 7758, 54260, 2882, 6, 4, 14856, 110970, 12483, 54260, 1644, 12483, 6, 238144, 6, 148222, 162726, 17645, 8903, 1211, 55242, 98833, 5950, 54260, 1211, 17824, 75230, 101608, 13278, 26892, 6, 4, 3056, 24857, 7511, 2882, 4838, 97594, 49008, 710, 20033, 123736, 101328, 12483, 39484, 31467, 12483, 4838, 17824, 75230, 36419, 364, 54260, 7972, 8903, 6, 124470, 33809, 17800, 7265, 22426, 15350, 6, 54260, 75230, 4113, 4113, 6, 54260, 2808, 44917, 5666, 26394, 6, 124470, 26659, 3056, 6, 148346, 54260, 2808, 1470, 33809, 54561, 16175, 54260, 6093, 1468, 20033, 657, 54260, 20315, 1211, 23269, 3111, 31467, 5666, 5332, 26612, 17645, 186046, 4151, 6, 124470, 33809, 17800, 14856, 46244, 163139, 2808, 76961, 6235, 148346, 26632, 11211, 96986, 20033, 54260, 26612, 5332, 20616, 1211, 23050, 148346, 26632, 6, 4, 5, 1470, 54260, 23269, 10339, 33809, 1211, 6, 148222, 6, 26394, 42023, 6235, 148346, 26632, 3056, 1157, 3947, 155905, 155, 17645, 710, 6, 137218, 69181, 42493, 3373, 159870, 12483, 6, 4, 6, 148222, 6, 124470, 33809, 17800, 202745, 6319, 54260, 1211, 1470, 33809, 194734, 93509, 54260, 2648, 10339, 33809, 1211, 26612, 4231, 33809, 710, 12483, 6, 148346, 8580, 42493, 4838, 4231, 33809, 20315, 1211, 6, 4, 4838, 4231, 33809, 2648, 147062, 6319, 54260, 119132, 204982, 17297, 183216, 6, 4, 26612, 17645, 14856, 110970, 12483, 220224, 49008, 6, 148346, 79238, 2808, 109636, 1211, 2205, 3523, 26632, 13159, 6681, 46598, 106, 6, 21106, 54561, 163139, 2808, 26612, 26612, 54260, 26612, 4838, 109316, 1211, 20033, 123736, 17537, 36324, 2808, 17824, 75230, 2702, 12483, 6681, 148346, 25207, 4667, 6, 4, 1054, 46646, 24857, 3056, 8903, 8903, 1211, 204982, 6235, 8903, 1211, 14856, 110970, 12483, 26612, 6, 29060, 119055, 2808, 33809, 83182, 2882, 205026, 39384, 6093, 292, 6655, 4151, 13278, 26892, 150764, 292, 4113, 75230, 26612, 51678, 14856, 110970, 12483, 220771, 12483, 36324, 2808, 17824, 75230, 2702, 12483, 6, 186461, 12483, 705, 6255, 119055, 13845, 4269, 54260, 1211, 3131, 17645, 26612, 710, 12483, 41764, 2808, 26612, 1470, 54260, 4667, 36324, 9213, 46244, 1285, 13497, 3523, 54260, 1211, 10339, 33809, 1211, 10676, 6, 148346, 1644, 148346, 33809, 1644, 5, 26612, 34654, 22426, 6, 94741, 20260, 1470, 54260, 4667, 97995, 119718, 101608, 83336, 26892, 2205, 44917, 51723, 10339, 33809, 1211, 874, 54260, 1211, 5666, 48904, 49008, 112216, 63849, 4838, 4231, 26632, 4151, 46440, 1211, 6235, 64567, 2882, 292, 123736, 148346, 6093, 4151, 5332, 54260, 28726, 75230, 49008, 6, 54260, 2648, 2205, 5332, 3523, 119718, 21292, 6235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7201, 90761, 6, 4, 123736, 48340, 12483, 119055, 29060, 4151, 364, 75230, 22426, 2882, 207682, 4484, 33809, 96986, 2205, 5332, 29060, 96256, 8248, 31467, 109636, 1211, 6, 148222, 6, 26394, 42023, 155787, 12483, 119055, 13845, 107581, 6, 148222, 10339, 21106, 36326, 4113, 26612, 26612, 710, 153850, 12483, 6, 239162, 75230, 8903, 1211, 4, 6, 168155, 6, 238144, 2702, 1470, 75230, 22426, 6, 159696, 51723, 6, 54260, 2808, 119055, 109316, 1211, 220771, 12483, 208048, 13456, 54260, 69336, 22426, 4838, 905, 12483, 12483, 9934, 75230, 2808, 132025, 238144, 104149, 230764, 206105, 155787, 12483, 119055, 46646, 151614, 148346, 12483, 26612, 6, 54260, 710, 13845, 153850, 710, 5332, 6319, 75230, 2050, 119055, 29060, 18225, 220224, 4838, 54260, 110970, 22426, 20961, 12483, 2205, 6235, 22426, 710, 17310, 65482, 3131, 54260, 49008, 76961, 4231, 33809, 710, 12483, 1470, 33809, 23405, 105330, 7972, 22426, 6, 5, 17645, 26612, 6, 41595, 33809, 1211, 364, 15907, 3523, 13159, 21106, 96986, 2205, 2205, 3373, 104274, 4838, 196332, 2050, 43649, 37016, 109316, 54260, 3131, 33809, 6293, 44917, 65442, 16, 1470, 33809, 2932, 2451, 209, 292, 2808, 33809, 5666, 230764, 10676, 16175, 75230, 6093, 3056, 6235, 85465, 183216, 4838, 1285, 39340, 4838, 54260, 168155, 23269, 6319, 54260, 2882, 5332, 6, 12483, 192061, 6, 54260, 2808, 150764, 152, 6, 64260, 55242, 506, 2882, 6, 4, 6255, 119055, 13845, 7265, 4231, 29060, 6, 137218, 7972, 29789, 29060, 105235, 39340, 1644, 6235, 148346, 12483, 4838, 19302, 71577, 230764, 6, 148222, 6, 148346, 75230, 2882, 60980, 1211, 54745, 26612, 4113, 17645, 195054, 6, 76776, 148346, 25207, 4944, 12483, 5, 6, 148222, 6319, 54260, 2882, 705, 36324, 75230, 2808, 60980, 1211, 42493, 220224, 1211, 36324, 4838, 33809, 710, 22426, 215031, 41764, 14081, 3131, 12483, 148346, 1644, 148346, 33809, 1644, 47567, 2882, 9213, 46244, 1470, 33809, 23405, 105330, 32792, 119055, 6093, 12483, 2442, 54260, 2648, 186797, 6655, 4151, 13278, 26892, 23050, 8903, 148346, 12483, 7265, 7508, 54260, 1211, 6, 105235, 8903, 71804, 19302, 2808, 22426, 230764, 6, 148222, 6319, 54260, 2882, 6, 4, 3056, 6, 148222, 6319, 54260, 2882, 3069, 31467, 6, 148346, 137218, 710, 12483, 6235, 4113, 26612, 710, 12483, 2808, 33809, 5666, 4838, 364, 21106, 148346, 4113, 6319, 54260, 2882, 3056, 4838, 45629, 22426, 8903, 22426, 14081, 12483, 230764, 54745, 26612, 5332, 137218, 4838, 59461, 83336, 26892, 6655, 7746, 1751, 57277, 24152, 7369, 16629, 34882, 12483, 5332, 6, 12483, 4231, 40096, 5332, 33809, 165592, 54260, 6235, 4852, 62067, 152, 163139, 6255, 55242, 506, 10339, 33809, 1211, 10676, 119055, 2808, 33809, 83182, 200284, 41764, 33809, 1211, 1054, 26612, 26612, 6, 15350, 17645, 48904, 4113, 26612, 105235, 165354, 47567, 36324, 1285, 39340, 6319, 54260, 2882, 3069, 31467, 148346, 98002, 12483, 6, 159696, 8903, 1211, 4838, 137218, 4838, 4838, 54260, 49008, 2648, 46646, 6, 148222, 6, 65442, 17188, 3056, 4838, 6, 148346, 79238, 15231, 2865, 33809, 23405, 10339, 33809, 1211, 4269, 26632, 6, 4, 6, 12483, 163139, 1644, 4838, 26612, 26612, 710, 5332, 26612, 710, 33809, 158652, 17537, 6255, 10184, 5, 2442, 4838, 54260, 4667, 141107, 7243, 6, 207682, 6, 4, 42493, 4269, 33809, 2882, 42493, 620, 4113, 22426, 2882, 5332, 16175, 33809, 96256, 5594, 2442, 6, 21106, 54260, 1211, 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 ]
[ 46646, 9213, 46244, 163139, 21295, 1470, 33809, 5666, 163139, 2808, 6681, 4838, 54260, 22426, 4838, 8580, 710, 12483, 5332, 1982, 5, 148222, 1751, 124470, 55546, 12130, 1470, 33809, 5666, 1285, 6, 80453, 16667, 448, 15750, 49008, 6, 33809, 1211, 6, 41595, 2884, 4838, 26612, 17645, 93975, 76776, 183216, 144754, 6, 148346, 4113, 89184, 148346, 18415, 49920, 89930, 15622, 26612, 6, 148346, 710, 49008, 6235, 4484, 33809, 51723, 4838, 9183, 1054, 8903, 54260, 54260, 137218, 85465, 148346, 12483, 6235, 148346, 2442, 115536, 3069, 31467, 220224, 123073, 41764, 12415, 35189, 6, 54260, 26612, 6, 57277, 26612, 26612, 4113, 26612, 710, 33809, 8903, 6, 137218, 71577, 54260, 54260, 8009, 710, 155787, 12483, 2205, 23050, 2882, 96256, 151614, 148346, 12483, 22753, 22426, 4838, 2808, 54260, 5332, 54260, 710, 47351, 137218, 26612, 137218, 26612, 158894, 710, 6, 21106, 18415, 6, 69181, 6, 196332, 1211, 4838, 119055, 37016, 6235, 2932, 112711, 49008, 1211, 2205, 1751, 33809, 1644, 5332, 4838, 6, 137218, 142170, 3523, 71577, 2882, 132, 171665, 13456, 33809, 6293, 44917, 54561, 16, 6, 75230, 26612, 710, 12483, 54260, 710, 2451, 1995, 292, 710, 71577, 12483, 5332, 119718, 2808, 6, 94741, 33716, 6235, 238144, 13497, 1470, 33809, 5666, 6235, 21733, 64567, 2882, 6, 4, 7265, 26, 1211, 44917, 57619, 12483, 364, 123073, 12483, 710, 71577, 8580, 5332, 54260, 26612, 6235, 148346, 29060, 12483, 3523, 26632, 7369, 47567, 220224, 2808, 874, 33809, 54574, 220224, 1211, 230764, 76961, 54260, 22426, 137218, 4113, 39384, 152848, 5332, 119055, 6093, 8947, 6655, 6, 148222, 6, 99176, 8903, 20315, 42493, 6235, 39293, 42023, 4151, 78683, 1211, 22753, 22426, 42493, 112216, 905, 105235, 1644, 12483, 119055, 46646, 4838, 5332, 51172, 8903, 10069, 4113, 6, 148346, 16870, 54260, 18415, 2882, 6, 4, 14856, 110970, 12483, 33104, 59929, 4838, 4113, 54260, 2702, 12483, 19024, 2882, 16175, 48340, 12483, 119055, 109316, 1211, 220224, 2808, 23050, 130734, 124470, 119055, 6093, 12483, 6428, 33809, 81455, 84087, 21292, 33809, 54260, 710, 41764, 33809, 1211, 1751, 25207, 22426, 18415, 14856, 110970, 12483, 6, 4, 28415, 35189, 6, 4, 1470, 33809, 5666, 6681, 1054, 46646, 705, 6681, 26612, 112216, 139962, 12483, 162726, 22426, 33809, 1644, 6, 4, 4151, 22518, 37016, 6681, 36324, 2808, 16175, 75230, 2882, 3056, 84087, 71512, 21733, 33809, 149364, 163139, 2808, 4151, 16175, 75230, 2882, 6, 21106, 54260, 1211, 6, 5, 54260, 26612, 15622, 54260, 109636, 186046, 2882, 54260, 2808, 6, 4, 95455, 220224, 49008, 6235, 159696, 1211, 6, 148222, 7508, 54260, 107581, 10339, 33809, 1211, 23269, 2882, 57277, 5332, 6, 54260, 26612, 58826, 148346, 12483, 23050, 192061, 6, 148346, 37016, 64567, 18415, 6, 148346, 9221, 61397, 2205, 191069, 17645, 75230, 40096, 220224, 6, 54260, 710, 49008, 23050, 138455, 12483, 6, 148346, 4113, 80453, 54260, 16747, 29060, 48706, 22753, 2808, 6, 4, 9934, 75230, 8903, 1211, 220224, 2808, 4838, 159696, 4484, 25222, 76776, 2932, 49008, 3523, 33809, 710, 6, 148222, 26612, 6, 148346, 9221, 61397, 4838, 364, 54260, 2050, 1470, 33809, 5666, 6, 148222, 6, 148346, 9221, 61397, 39484, 31467, 12483, 1285, 14004, 33809, 8903, 3111, 31467, 710, 12483, 7265, 6, 13497, 119718, 2702, 32054, 54260, 16747, 95494, 23741, 1470, 33809, 2932, 220224, 2808, 39484, 31467, 12483, 6681, 3131, 80453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2808, 4944, 12483, 54260, 26612, 4231, 33809, 22426, 109316, 22426, 5332, 26632, 9934, 75230, 2808, 119055, 109316, 1211, 220224, 1211, 6235, 30473, 104238, 2882, 7265, 220224, 6093, 17190, 148346, 12483, 26612, 33809, 5666, 186046, 17645, 8903, 1211, 119055, 59929, 220224, 2808, 151614, 148346, 12483, 7265, 6235, 3111, 31467, 51723, 7265, 7746, 6, 5, 6, 5, 54260, 26612, 6, 54260, 710, 18415, 117902, 33716, 54260, 2808, 6, 196332, 1211, 6235, 4113, 12483, 4231, 33809, 5666, 8903, 657, 54260, 2882, 6, 4, 17824, 75230, 36419, 17645, 7972, 12483, 5332, 58826, 201542, 22426, 710, 18415, 148346, 18415, 49920, 89930, 6, 4, 21422, 2808, 151614, 148346, 12483, 8248, 31467, 4667, 6, 149364, 142196, 1644, 57277, 8580, 4838, 54260, 1211, 4838, 33716, 5332, 220224, 11211, 109636, 1211, 6, 61397, 33809, 109636, 1211, 6, 148222, 9424, 159696, 108968, 6, 80453, 16667, 448, 3069, 31467, 220224, 54260, 26612, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 151614, 148346, 12483, 6235, 148346, 29060, 12483, 6, 148222, 6, 80453, 33056, 24857, 874, 48340, 12483, 4113, 21106, 12483, 4838, 54260, 26612, 3523, 54260, 1211, 2205, 9356, 23093, 364, 75230, 4852, 49920, 12483, 119055, 46646, 4151, 364, 75230, 22426, 2882, 133111, 7038, 57277, 28726, 112216, 710, 29659, 54260, 4113, 26612, 119055, 109316, 1211, 1470, 33809, 33716, 506, 54260, 1644, 12483, 3069, 31467, 26612, 6, 207682, 6, 148222, 4231, 33809, 20315, 1211, 6, 4, 1470, 33809, 76776, 54260, 22426, 4838, 54260, 26612, 4838, 905, 109316, 1211, 6, 76776, 14303, 220224, 1211, 230764, 1470, 33809, 54561, 19024, 2882, 20033, 874, 33809, 104149, 1751, 174410, 148346, 4113, 26612, 33809, 710, 22426, 4838, 26612, 17645, 26612, 4113, 364, 76632, 5332, 119055, 109316, 1211, 16175, 33809, 2442, 3069, 31467, 7369, 29659, 7746, 20632, 142785, 220224, 1211, 6, 47351, 42572, 54260, 6, 4, 54260, 2882, 4838, 33809, 2932, 25603, 17645, 1751, 71577, 55823, 14856, 101608, 119055, 109316, 1211, 20033, 220224, 2808, 16175, 54260, 96986, 6, 238144, 41764, 15350, 54260, 26612, 6, 54260, 109316, 1211, 41764, 171428, 6, 5, 54260, 26612, 41764, 100810, 14088, 6, 137218, 148346, 12483, 24857, 4838, 46590, 33809, 42493, 23050, 119718, 158291, 2205, 95247, 22426, 122978, 4, 4113, 22426, 13456, 33809, 6293, 44917, 54561, 16, 3523, 33809, 2702, 2451, 427, 292, 3111, 31467, 2442, 220224, 2808, 39484, 31467, 12483, 6, 148346, 2808, 25207, 4944, 35596, 1054, 46646, 51678, 220224, 2808, 4151, 6, 148346, 54260, 26612, 112216, 172060, 26612, 710, 12483, 8009, 6093, 6681, 9174, 2808, 148346, 12483, 220224, 2808, 4838, 54260, 23405, 79238, 22426, 710, 63532, 3069, 31467, 10676, 33960, 75230, 4113, 26612, 710, 12483, 41764, 71804, 137218, 418, 6, 148222, 14856, 110970, 12483, 9174, 2808, 148346, 12483, 7746, 6, 148346, 4113, 119718, 2808, 22426, 35596, 7265, 29566, 175323, 109636, 39340, 101608, 710, 220224, 2808, 151614, 148346, 12483, 24857, 6235, 506, 15350, 96986, 1470, 33809, 13497, 12483, 5332, 54260, 65482, 4838, 48904, 15350, 12483, 4484, 54260, 59461, 10339, 33809, 1211, 6, 75230, 2808, 6, 148346, 9221, 61397, 47567, 24857, 42493, 51678, 112216, 24621, 54260, 12483, 4838, 26612, 4269, 48904, 26394, 112389, 31467, 2882, 24012, 49008, 220224, 2808, 6, 23173, 33809, 2865, 8903, 240863, 12483, 4838, 905, 54260, 6, 54260, 26612, 6, 119859, 710, 12483, 5332, 23173, 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 ]
[ 47567, 204982, 119055, 6093, 12483, 4838, 60631, 2648, 230764, 10676, 1054, 6, 54260, 26612, 4231, 33809, 5666, 8903, 26612, 5332, 26612, 710, 12483, 7511, 2882, 44458, 27720, 183216, 1470, 75230, 7201, 145168, 141943, 3069, 31467, 1054, 6093, 12483, 6, 4, 39484, 31467, 12483, 4838, 75230, 26612, 4838, 710, 22426, 4838, 33809, 22426, 54260, 710, 21295, 8300, 33809, 6, 105780, 6293, 55242, 148346, 2702, 14856, 110970, 12483, 6, 148346, 48350, 33809, 83182, 6, 4, 220224, 2808, 39484, 31467, 12483, 120202, 8903, 710, 71577, 2882, 3523, 33809, 119718, 21292, 12483, 8248, 31467, 4667, 7265, 4838, 6, 148346, 79238, 15231, 2865, 96986, 9424, 54260, 4944, 12483, 41764, 69336, 33809, 15907, 1054, 29060, 4838, 54260, 1211, 112216, 54260, 75230, 26612, 148346, 2442, 75230, 4944, 12483, 11211, 108968, 6, 4, 47567, 6428, 33809, 2808, 9424, 238144, 13497, 25603, 41764, 101503, 33809, 23829, 17806, 33809, 710, 96986, 4838, 17645, 26612, 24295, 22426, 22426, 33809, 68438, 5332, 4838, 54260, 165592, 14081, 12483, 163139, 2702, 12483, 24857, 4838, 155787, 147062, 42493, 220224, 1211, 4838, 6, 1211, 22426, 148346, 710, 6, 17645, 110970, 4838, 4231, 5, 230764, 874, 48340, 12483, 40026, 506, 6, 196332, 1211, 6235, 4484, 33809, 51723, 4113, 26612, 33809, 1211, 6235, 2882, 57277, 6, 17645, 26612, 4838, 26612, 710, 22426, 2882, 54260, 1211, 75322, 15907, 6, 148222, 6428, 15949, 2808, 117641, 36326, 2932, 54260, 61397, 187667, 41764, 15350, 41764, 54260, 8903, 1211, 4838, 33809, 49008, 6, 54260, 26612, 4838, 54260, 12483, 119718, 46646, 6, 148346, 54260, 2808, 112389, 2882, 6235, 4113, 20961, 109636, 1211, 3373, 2050, 47833, 6, 54260, 26612, 6, 54260, 33809, 17645, 17645, 26612, 48350, 54260, 2808, 39484, 31467, 12483, 6235, 905, 158291, 6, 23173, 119273, 9221, 12483, 6, 12483, 17190, 148346, 4113, 4838, 119718, 17645, 4231, 33809, 26612, 12483, 5332, 41764, 54260, 4838, 54260, 165592, 109316, 1211, 51678, 3069, 31467, 23269, 506, 51723, 9934, 75230, 6093, 6681, 18415, 8903, 1211, 6, 4, 6, 54260, 710, 5332, 75230, 109636, 4231, 33809, 109636, 1211, 5332, 26612, 710, 49008, 29771, 148346, 6093, 42493, 6235, 159696, 1211, 3069, 31467, 2808, 163139, 39293, 6, 4, 49481, 23050, 80885, 1211, 5332, 26612, 148346, 12483, 4838, 54260, 26612, 4231, 43178, 33809, 710, 12483, 4852, 54260, 123073, 32054, 75230, 12483, 1470, 33809, 5666, 6319, 33809, 5666, 149364, 1470, 33809, 5666, 220224, 6093, 182990, 1211, 41764, 32829, 4113, 26217, 26612, 4838, 33809, 710, 4231, 71577, 12483, 21106, 2702, 6235, 148346, 48775, 40920, 3069, 31467, 220224, 123073, 6, 148346, 37016, 64567, 18415, 41764, 54260, 8903, 26612, 4838, 8580, 145813, 54260, 4838, 6, 17645, 26612, 506, 75230, 22426, 2882, 133111, 7265, 3523, 71512, 657, 54260, 18415, 220224, 49008, 6235, 4484, 33809, 109636, 1211, 1054, 3523, 33809, 6, 54260, 26612, 6, 54260, 710, 22426, 710, 4838, 54260, 12483, 85465, 148346, 12483, 220224, 2808, 6235, 7201, 33809, 49008, 17190, 4113, 29771, 4113, 4838, 33809, 33809, 39293, 905, 5332, 1751, 54260, 1211, 14856, 110970, 4838, 8580, 6, 137218, 26612, 710, 12483, 6, 54260, 54260, 8903, 159696, 1211, 6, 4, 6319, 54260, 1211, 3523, 21106, 20315, 6319, 54260, 23269, 8248, 31467, 1644, 148346, 6093, 5332, 364, 15907, 4231, 40096, 4838, 54260, 26612, 710, 22426, 137218, 710, 112216, 1211, 4667, 23829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 165354, 6, 4, 10339, 33809, 1211, 123736, 29771, 13159, 4113, 1470, 33809, 20315, 1211, 119055, 109316, 1211, 5332, 54260, 123736, 71577, 6, 137218, 26612, 42493, 41764, 137218, 109636, 22426, 137218, 47351, 7511, 2442, 41764, 33809, 1211, 17824, 75230, 2702, 6, 109636, 22426, 39484, 31467, 12483, 5332, 33809, 137218, 6235, 119718, 26612, 98833, 4838, 710, 22426, 4231, 33809, 15907, 6, 54260, 1211, 6, 137218, 54260, 6, 47351, 148222, 123736, 25207, 24621, 4231, 33809, 20315, 1211, 6, 4, 6, 54260, 2808, 39384, 8903, 1211, 6235, 22492, 183216, 4231, 6, 75230, 6293, 6, 17645, 26612, 4231, 71577, 4838, 54260, 710, 6, 137218, 710, 12483, 132, 148346, 13456, 33809, 6293, 44917, 54561, 16, 23050, 57277, 710, 109636, 1211, 2451, 6260, 292, 710, 29060, 54260, 109636, 1211, 10676, 140108, 93975, 1211, 25093, 163139, 2808, 7369, 3056, 6235, 240863, 12483, 10339, 33809, 1211, 1751, 33809, 1644, 7265, 4113, 54260, 1211, 6, 15350, 54260, 1470, 33809, 2442, 6, 124470, 46590, 8580, 1470, 33809, 13497, 6093, 12483, 6, 29766, 46598, 6, 4, 151614, 148346, 12483, 220224, 2808, 1470, 30682, 6235, 85465, 22426, 2882, 6, 4, 26612, 26612, 75230, 4113, 8903, 75230, 2702, 12483, 10339, 33809, 1211, 1470, 30682, 10676, 133933, 2754, 1470, 33809, 5666, 6, 124470, 46590, 8580, 6, 4, 23050, 33353, 55823, 1211, 230764, 20315, 1211, 7369, 2648, 1470, 33809, 5666, 6235, 99176, 96986, 7265, 6, 148222, 6, 131445, 6, 4, 10676, 25093, 39484, 31467, 12483, 220224, 76526, 22426, 23173, 1211, 74806, 71804, 8903, 1211, 6, 4, 4151, 25093, 6655, 132025, 8903, 22426, 2808, 183216, 9915, 54260, 12483, 7265, 51963, 26612, 54260, 23269, 21374, 4113, 22426, 96986, 151614, 148346, 12483, 220224, 2808, 1470, 30682, 4838, 564, 54260, 5666, 23269, 29659, 34557, 12483, 4838, 1751, 23173, 55823, 1211, 3131, 22426, 8580, 4838, 8580, 66605, 26394, 1211, 3056, 7369, 6235, 145168, 12483, 16175, 75230, 2882, 230764, 4151, 7369, 2648, 6, 5, 4113, 4231, 75230, 26612, 657, 54260, 6, 148346, 4113, 119718, 2808, 109636, 194734, 4231, 33809, 5666, 8903, 657, 54260, 2882, 39484, 31467, 12483, 24857, 6235, 39293, 42023, 6, 4, 54260, 49008, 6, 54260, 26612, 6, 148346, 4113, 145168, 12483, 10676, 364, 75230, 22426, 2882, 133111, 7265, 1285, 23269, 657, 54260, 18415, 6, 4, 21422, 14004, 26612, 148346, 12483, 74806, 7511, 12483, 4231, 6, 148346, 1644, 33809, 2882, 186046, 6, 148346, 1644, 33809, 2882, 711, 1470, 33809, 5666, 220224, 2808, 39484, 31467, 12483, 74806, 96256, 4944, 12483, 144754, 5332, 54260, 4113, 8903, 7213, 2702, 109636, 14856, 101608, 6, 148222, 5, 29434, 54260, 2808, 117641, 36326, 9424, 54260, 59461, 6, 4, 4151, 26612, 75230, 22426, 710, 22426, 8580, 4838, 137218, 4838, 6, 148346, 21292, 13845, 56170, 119718, 2808, 33809, 16747, 29060, 6235, 33353, 12483, 6, 4, 3523, 33809, 2442, 7369, 6655, 26612, 33809, 22426, 22426, 54260, 29060, 3069, 31467, 4838, 177282, 75230, 109636, 1211, 5332, 3056, 7369, 6, 61397, 29060, 29060, 6235, 119718, 20961, 12483, 10339, 33809, 1211, 220224, 123073, 710, 76632, 5332, 5332, 183718, 2882, 119055, 21106, 96986, 220224, 2808, 1470, 30682, 6235, 5666, 75230, 2702, 6235, 130734, 124470, 6, 4, 1470, 33809, 5666, 6, 148222, 4113, 22426, 17645, 109636, 6, 54260, 5666, 8903, 26612, 5332, 1285, 26612, 4269, 119718, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36419, 6, 148346, 13845, 710, 4269, 127827, 39222, 199145, 6, 54260, 2808, 3056, 3523, 98071, 2882, 132025, 8903, 3131, 22426, 71577, 12483, 5332, 33809, 26612, 4838, 98833, 12666, 33809, 109636, 1211, 10339, 33809, 1211, 77775, 45223, 20315, 1211, 6, 4, 9174, 2808, 148346, 12483, 220224, 2808, 7746, 8903, 54260, 4113, 15907, 6235, 23269, 6, 148222, 4231, 33809, 20315, 1211, 6, 112353, 202446, 12483, 220224, 49008, 220224, 2808, 76961, 4113, 4113, 54260, 2932, 22426, 6235, 4113, 26612, 710, 12483, 6428, 33809, 1211, 148346, 124724, 6, 54260, 20315, 1211, 6, 4, 8947, 3056, 10339, 33809, 1211, 220224, 2808, 6319, 54260, 1211, 1470, 54260, 109985, 6093, 7511, 2882, 4838, 4113, 22426, 7972, 109636, 1211, 4838, 238144, 6, 63188, 364, 75230, 22426, 2882, 2882, 15388, 9213, 6235, 4484, 33809, 51723, 2205, 43649, 64260, 6655, 7369, 137218, 4113, 26612, 710, 141847, 43178, 33809, 109636, 1211, 76961, 6, 148346, 9221, 61397, 119055, 46646, 39484, 31467, 12483, 1751, 75230, 1211, 6, 143409, 6235, 905, 14081, 57277, 54260, 109636, 905, 6, 54260, 26612, 4838, 33809, 710, 12483, 5332, 15622, 26612, 151614, 148346, 12483, 22753, 22426, 6, 109636, 48350, 2808, 24621, 21295, 2205, 48494, 23093, 75230, 4852, 6, 4, 12483, 4231, 40096, 5332, 54260, 6, 141847, 54260, 1211, 2882, 15622, 59929, 1470, 30682, 364, 15907, 6235, 18415, 2808, 109636, 1211, 2205, 1285, 23050, 2882, 96256, 6, 4, 26612, 54260, 905, 26612, 26612, 75230, 26612, 1285, 4838, 101328, 12483, 24012, 49008, 6, 148346, 4113, 22426, 14081, 12483, 4838, 75230, 6293, 1470, 30682, 874, 33809, 2882, 220224, 23269, 14856, 110970, 12483, 6, 4, 4113, 26612, 4838, 54260, 6319, 54260, 2882, 7265, 220224, 1211, 17190, 148346, 12483, 6, 48904, 22426, 17410, 109636, 1211, 1470, 33809, 5666, 6, 148222, 9213, 148346, 4113, 29789, 8903, 1285, 49008, 17645, 22426, 26612, 710, 12483, 16175, 75230, 2882, 364, 33809, 22426, 22426, 180403, 4231, 33809, 20315, 1211, 4838, 4113, 148346, 13456, 33809, 6293, 6, 76776, 54561, 16, 6, 5, 1285, 25207, 616, 292, 148222, 6, 148346, 9221, 61397, 9174, 2808, 148346, 12483, 76961, 23050, 25391, 710, 12483, 152, 6, 148222, 123736, 71512, 112216, 54260, 710, 49008, 20315, 2050, 16175, 75230, 2882, 6, 4, 3523, 33809, 2442, 1470, 54260, 1211, 6, 148346, 9221, 61397, 1054, 46646, 6, 148346, 54260, 2808, 1470, 30682, 3069, 31467, 364, 75230, 26612, 4113, 4231, 71577, 12483, 4852, 18167, 6, 29060, 28726, 148346, 4113, 4231, 33809, 20315, 1211, 6, 148346, 20616, 14081, 96986, 6, 4, 2181, 1470, 54260, 59461, 364, 15907, 74806, 905, 54260, 49008, 4838, 2451, 119055, 20961, 33809, 2050, 43649, 54260, 2932, 16803, 6428, 33809, 2808, 705, 292, 6655, 1470, 30682, 4151, 4838, 905, 33809, 22426, 2882, 5332, 47351, 8903, 22680, 4113, 98833, 292, 6, 148346, 171127, 6428, 33809, 2808, 42493, 3069, 31467, 211630, 12483, 7265, 4838, 33809, 5666, 39293, 26612, 4838, 33809, 5666, 57277, 54260, 710, 4231, 2451, 6255, 60980, 1211, 874, 54260, 1211, 874, 54260, 3111, 31467, 23405, 42493, 220771, 12483, 292, 364, 15907, 54745, 26612, 6, 54260, 95064, 26612, 8903, 35596, 59919, 2882, 292, 1470, 54260, 35189, 6255, 6, 238144, 2702, 19302, 43590, 2442, 6, 148222, 1470, 33809, 23269, 71577, 4113, 75903, 26612, 26612, 33809, 2882, 42180, 33809, 1211, 6, 148222 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27855, 2808, 107581, 7508, 33809, 506, 71512, 155787, 12483, 230764, 4838, 54260, 22426, 6, 17645, 22426, 26612, 710, 12483, 4838, 4113, 20961, 3131, 54260, 2932, 32792, 3056, 24857, 42493, 1470, 33809, 112304, 123844, 2882, 5, 2451, 6, 148222, 1470, 33809, 2442, 74004, 107581, 4151, 10339, 33809, 1211, 3056, 23050, 29771, 12483, 292, 6655, 54745, 26612, 364, 75230, 22426, 2882, 6, 54260, 1211, 8903, 64567, 2882, 874, 54260, 1644, 20033, 39484, 31467, 12483, 3069, 31467, 6093, 29659, 6235, 130734, 124470, 220224, 12483, 39384, 5332, 16175, 54260, 49008, 6, 54260, 93704, 2808, 4667, 4151, 6681, 6, 148222, 6, 148346, 13845, 710, 6, 148346, 124470, 14088, 10339, 33809, 1211, 191069, 1470, 33809, 1211, 15622, 40096, 4838, 54260, 710, 12483, 16175, 54260, 6, 17171, 31467, 2442, 1470, 98071, 20315, 1211, 711, 220224, 2808, 151614, 148346, 12483, 198754, 1470, 75230, 22426, 8300, 33809, 506, 54260, 148346, 12483, 4231, 4231, 208048, 6235, 8903, 1211, 2808, 33809, 54561, 4, 20033, 6, 174410, 12483, 220224, 2808, 6681, 24857, 42493, 27855, 75230, 8903, 1211, 5332, 4838, 54260, 710, 4838, 54260, 12483, 85465, 148346, 12483, 10676, 16175, 75230, 2882, 6681, 2648, 41595, 6, 4, 6319, 33809, 63532, 6, 148346, 12415, 35189, 6, 4, 33960, 194734, 21295, 4838, 710, 22426, 6, 68558, 7265, 3131, 159696, 38054, 12483, 1470, 33809, 5666, 145813, 710, 104149, 6, 4, 1157, 51723, 6, 4, 1470, 33809, 5666, 221895, 23050, 159696, 506, 26612, 5332, 6, 54260, 26612, 119055, 29789, 12483, 21106, 4113, 3069, 31467, 905, 51723, 4269, 54260, 1211, 2205, 6235, 2882, 96256, 6, 4, 3373, 54260, 874, 33809, 104149, 22753, 22426, 3523, 33809, 4484, 22426, 41764, 54260, 1211, 6, 47351, 76961, 2808, 88945, 1211, 220224, 6093, 6, 148346, 1644, 33809, 2882, 6681, 99611, 12483, 6, 238144, 25933, 101608, 6, 4, 1054, 29789, 6, 29060, 4838, 54260, 4838, 15750, 26612, 54260, 4113, 26612, 148346, 9221, 61397, 47567, 4269, 54260, 1211, 3069, 31467, 364, 75230, 4852, 23050, 111398, 12483, 220224, 23269, 6235, 159696, 506, 26612, 4838, 33809, 5666, 6319, 33809, 109636, 1211, 4231, 33809, 54260, 5594, 2808, 2205, 9356, 15231, 364, 75230, 4852, 5332, 10339, 33809, 1211, 5332, 226976, 119055, 109316, 1211, 6, 56052, 76961, 4838, 33809, 4113, 26612, 710, 12483, 6, 68438, 2808, 33809, 1211, 6235, 2882, 96256, 20033, 119055, 109316, 1211, 84054, 12483, 10339, 33809, 1211, 6, 54260, 26612, 6, 71577, 1644, 42493, 6, 137218, 26612, 12483, 4231, 28726, 148346, 4113, 196332, 1211, 14856, 110970, 12483, 6, 4, 4113, 3523, 33809, 2442, 220224, 6093, 41764, 17537, 29771, 4113, 8903, 1211, 5332, 109316, 1211, 4231, 33809, 26612, 6, 138455, 54260, 710, 12483, 2808, 33809, 5666, 3069, 31467, 2882, 54260, 1644, 12483, 76961, 6, 148346, 9221, 61397, 148932, 119055, 29060, 6, 148346, 37016, 33809, 109636, 1211, 4838, 33960, 905, 54260, 4113, 6, 54260, 54260, 2808, 33809, 5666, 24857, 3373, 33809, 2648, 364, 54260, 13497, 1470, 33809, 5666, 6, 57277, 39340, 4231, 148346, 14081, 2648, 23050, 57277, 1211, 6, 75230, 29789, 12483, 144754, 97995, 75230, 2702, 364, 45631, 1470, 33809, 5666, 9934, 75230, 6093, 9915, 13845, 39384, 49008, 6, 54260, 26612, 6, 54260, 93975, 26612, 6, 17645, 26612, 132, 148346, 13456, 33809, 6293, 44917, 54561, 16, 3523, 48904, 129891, 2451, 423 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 22492, 5666, 49008, 4838, 364, 54260, 2050, 23050, 506, 29771, 12483, 220224, 123073, 6235, 159696, 46244, 1470, 33809, 1211, 7265, 1470, 54260, 1211, 23050, 22492, 5666, 148346, 8580, 4113, 54260, 49008, 5332, 119718, 26612, 76961, 6235, 159696, 1211, 6, 148346, 21106, 2648, 3069, 31467, 2442, 7682, 2205, 564, 26632, 3149, 364, 75230, 4852, 1470, 33809, 2932, 10339, 33809, 1211, 54260, 15907, 3523, 54260, 1211, 2205, 23050, 2882, 96256, 3373, 95064, 8903, 1211, 76961, 155787, 12483, 6, 5, 5666, 54260, 4151, 1470, 54260, 1211, 145813, 26632, 6, 148346, 9221, 61397, 5332, 46646, 7369, 6655, 2205, 9356, 23093, 506, 75230, 1211, 74806, 119718, 93975, 1211, 5332, 7369, 9174, 26632, 42493, 6, 238197, 42493, 3523, 33809, 2882, 42493, 620, 91595, 6, 4, 238144, 1644, 7213, 35596, 13159, 6655, 7369, 42493, 6235, 119718, 158291, 7508, 54260, 20315, 1211, 6, 4, 7369, 6655, 6, 148346, 54260, 54595, 710, 22426, 4231, 29789, 22492, 15907, 24857, 6, 148222, 155787, 12483, 2205, 6235, 2882, 96256, 151614, 148346, 12483, 198754, 6235, 146887, 26612, 33809, 7511, 4231, 4269, 33809, 2882, 119055, 23173, 2882, 7508, 54260, 20315, 1211, 6681, 220224, 2808, 6655, 7369, 874, 151461, 174246, 6681, 21106, 4113, 41764, 23174, 4113, 26612, 5332, 36324, 7369, 3056, 6235, 4484, 33809, 51723, 3069, 31467, 2808, 364, 75230, 4852, 6655, 7369, 6235, 3111, 31467, 51723, 26612, 54260, 1211, 6, 54260, 20315, 1211, 10339, 33809, 1211, 6, 148222, 119055, 46646, 39484, 31467, 12483, 7746, 6, 148346, 54260, 2808, 1470, 30682, 6, 148346, 20616, 14081, 96986, 6, 4, 6, 89184, 40096, 6, 54260, 87637, 56170, 77014, 95564, 33809, 33716, 6, 4, 132025, 2932, 21660, 75230, 8903, 1211, 1470, 30682, 2205, 6, 148346, 9221, 61397, 19302, 54260, 35189, 54260, 2882, 4231, 119718, 1211, 6, 17645, 110970, 5332, 14081, 123736, 65405, 2050, 230764, 4151, 64890, 2702, 42493, 7369, 4484, 226976, 36324, 7369, 26612, 137218, 4838, 4838, 41731, 5332, 7369, 41764, 26632, 1470, 30682, 7369, 8300, 54260, 21295, 4838, 75386, 119055, 46646, 2205, 44917, 23093, 364, 75230, 30473, 26612, 710, 12483, 6, 54260, 26612, 43649, 40096, 6, 148346, 9221, 61397, 6, 148346, 79238, 17410, 2702, 12483, 3069, 31467, 2808, 6, 207682, 6, 4, 1470, 33809, 5666, 7369, 6655, 710, 29060, 4838, 54260, 12483, 74806, 33809, 98833, 9213, 23050, 2882, 96256, 7369, 47567, 3523, 54260, 1211, 3069, 31467, 2808, 220224, 23269, 6, 148346, 12415, 35189, 12483, 26612, 75230, 1644, 12483, 6, 54260, 26612, 76961, 7508, 54260, 2648, 6, 4, 6, 220440, 54260, 47332, 119055, 109316, 1211, 220224, 2808, 7746, 134973, 12483, 7508, 6093, 12483, 2882, 33809, 1211, 16175, 75230, 18415, 5332, 54260, 26612, 119055, 109316, 1211, 7746, 56170, 2808, 54260, 110317, 12483, 1470, 33809, 5666, 6, 112353, 202446, 12483, 4113, 171428, 15622, 26612, 6, 54260, 23405, 6093, 6, 5, 17645, 26612, 10339, 26612, 52480, 59929, 108209, 16932, 6, 54260, 2648, 2205, 6235, 4484, 33809, 51723, 2205, 6235, 2882, 96256, 6, 4, 6655, 12483, 6, 68438, 5332, 48904, 17645, 4838, 45629, 22426, 8903, 3111, 31467, 51723, 10339, 33809, 1211, 220224, 1211, 41764, 12130, 6, 4, 6, 148222, 155787, 12483, 39484, 31467, 12483, 54260, 1211, 710, 6, 137218, 71804, 7369, 78683, 98833, 7369, 364, 15907, 220224, 2808, 15750, 8300, 54260, 21295, 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 ]
[ 75386, 199145, 21422, 1211, 4269, 33809, 16932, 22426, 22426, 54260, 76776, 6, 17645, 26612, 145813, 26632, 6, 148346, 33809, 23405, 6093, 37826, 4838, 21292, 26612, 112216, 2932, 23822, 75230, 2882, 10339, 33809, 1211, 10676, 6, 148346, 9221, 61397, 17645, 31249, 33809, 710, 2205, 25933, 15231, 364, 75230, 4852, 6, 5, 26612, 1470, 75230, 148346, 36324, 905, 26612, 292, 5332, 2808, 17645, 6, 54260, 2808, 6, 17645, 4113, 71577, 35596, 4113, 4231, 33809, 5666, 8903, 657, 54260, 2882, 6235, 4113, 148346, 33809, 81829, 1053, 399, 5, 9934, 62067, 2451, 6, 5, 2485, 292, 47709, 98833, 3069, 31467, 6, 148222, 6, 80453, 16667, 448, 292, 1157, 115398, 3069, 31467, 2050, 6, 238144, 7511, 16667, 96986, 6235, 87637, 12483, 24012, 22426, 710, 16175, 33809, 1211, 23829, 28415, 35189, 6, 4, 9934, 21106, 12483, 220224, 2808, 1470, 33809, 54561, 6, 148346, 21660, 43590, 1644, 12483, 41764, 2808, 26612, 4838, 33809, 5666, 39293, 26612, 6, 148346, 1644, 33809, 2882, 6, 54260, 15231, 6093, 6, 148346, 1644, 33809, 2882, 1157, 62808, 76961, 3523, 54260, 1211, 3069, 31467, 2050, 9356, 23093, 364, 75230, 4852, 5332, 4838, 54260, 26612, 41764, 24295, 54260, 26612, 4838, 710, 29060, 1982, 54260, 23405, 54260, 1211, 2205, 48494, 23093, 364, 75230, 4852, 3069, 31467, 6, 148222, 6, 148346, 9221, 61397, 6, 4, 1470, 33809, 2932, 4838, 54260, 26612, 4231, 29060, 6, 17645, 26612, 12483, 4113, 46646, 220224, 2808, 7508, 54260, 20315, 1211, 6, 4, 1470, 75230, 148346, 9213, 46244, 119055, 29060, 49920, 12483, 4838, 21374, 26612, 26612, 26612, 12483, 4838, 54260, 15231, 8903, 1211, 79238, 1644, 33809, 2702, 10339, 33809, 1211, 220224, 2808, 3069, 31467, 6, 148346, 4113, 145168, 12483, 6, 148222, 23050, 2882, 96256, 4838, 33809, 5666, 4838, 75230, 22426, 110317, 8903, 1211, 76961, 2808, 88945, 1211, 47567, 2882, 9213, 46244, 1470, 33809, 54561, 6235, 148346, 12483, 4838, 219044, 22492, 1644, 5332, 109316, 1211, 20033, 76961, 41764, 54260, 15350, 75230, 22426, 8580, 95766, 6, 51172, 23093, 364, 75230, 4852, 1470, 33809, 5666, 20033, 119055, 109316, 1211, 6, 207682, 7265, 9934, 119718, 26612, 5332, 137218, 153850, 54260, 8903, 75903, 15907, 10918, 2808, 119055, 109316, 1211, 6, 80264, 7265, 1470, 33809, 54561, 4, 3523, 23173, 9213, 46244, 47567, 2882, 4269, 33809, 2882, 6, 84577, 33809, 5666, 5666, 6235, 148346, 12483, 5332, 46590, 54260, 40920, 220224, 49008, 6428, 99766, 6681, 17537, 6, 29060, 28726, 30750, 6, 148346, 9221, 61397, 119055, 40096, 6, 148346, 54260, 6, 54260, 710, 6, 54260, 49008, 64044, 148346, 48340, 12483, 10339, 33809, 1211, 1470, 33809, 16932, 4113, 155787, 12483, 55242, 1644, 12483, 20033, 220224, 6319, 119718, 1211, 620, 35596, 29789, 112216, 1211, 4838, 148222, 6, 80453, 16667, 448, 151614, 148346, 12483, 4151, 3069, 31467, 4838, 54260, 5666, 23269, 29659, 54260, 2882, 5332, 4838, 33809, 5666, 39384, 5332, 54260, 4113, 12483, 26612, 4113, 37016, 6235, 22492, 183216, 2205, 9356, 23093, 364, 75230, 4852, 5, 148222, 77775, 4231, 33809, 5666, 8903, 45223, 20315, 1211, 39484, 31467, 12483, 23050, 3111, 31467, 109636, 1211, 29566, 175323, 109636, 6, 17645, 17645, 26612, 2808, 33809, 5666, 6319, 33809, 2442, 26394, 145813, 710, 104149, 1470, 33809, 13497, 6093, 220224, 123073, 67882, 177282, 12483, 4838, 33809, 5666, 6, 54260, 26612, 5332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 49008, 22426, 2808, 20961, 1054, 54260, 4852, 4231, 4838, 4113, 37016, 6235, 185337, 12483, 3069, 31467, 2050, 44917, 15231, 364, 75230, 26612, 4113, 5332, 54260, 26612, 6, 137218, 710, 12483, 8903, 4113, 101503, 230764, 10676, 9424, 54260, 4944, 12483, 10339, 33809, 1211, 6, 148222, 41764, 143840, 448, 4838, 238144, 6, 148222, 6, 80453, 16667, 448, 220224, 8903, 1211, 4838, 1982, 54260, 23405, 37016, 33809, 96986, 34654, 1211, 5332, 40096, 710, 15622, 54260, 4231, 40096, 35189, 364, 75230, 22426, 2882, 6, 207682, 3069, 31467, 1211, 6, 54260, 26612, 150764, 6, 5, 21422, 12483, 3523, 33809, 2882, 15622, 40096, 4838, 137218, 26612, 4838, 54260, 5666, 57277, 49920, 6235, 4484, 33809, 51723, 6, 4, 9213, 46244, 6655, 1470, 33809, 54561, 7369, 3131, 22426, 26612, 64260, 4838, 6, 8580, 710, 22426, 4838, 54260, 22426, 3523, 165592, 33809, 4944, 12483, 4, 20033, 39484, 31467, 12483, 1470, 54260, 4667, 185040, 220224, 6093, 3523, 54260, 15231, 2932, 5332, 4838, 26612, 75230, 26612, 6, 238144, 4838, 137218, 165592, 54260, 13497, 6, 148222, 6, 80453, 16667, 448, 10339, 33809, 1211, 6, 148222, 77775, 6235, 2865, 54260, 194734, 1054, 6, 137218, 71577, 2882, 4838, 137218, 710, 4838, 54260, 1211, 148222, 200795, 41764, 80453, 506, 4, 10339, 33809, 1211, 1470, 54260, 4667, 119055, 109316, 1211, 3373, 33809, 2648, 123736, 2932, 22426, 26612, 183216, 4838, 33809, 5666, 39293, 26612, 6, 20260, 127209, 7369, 54260, 2648, 186797, 6655, 7369, 4838, 54260, 119132, 10339, 33809, 1211, 18133, 26612, 15750, 13845, 7201, 41764, 24295, 144754, 74806, 22426, 14004, 12483, 2932, 2808, 54561, 16, 41764, 15907, 2451, 729, 292, 144754, 4838, 145813, 15533, 6, 4, 6, 148222, 895, 6293, 6, 80453, 16667, 448, 151614, 148346, 12483, 6235, 8903, 148346, 12483, 4838, 15857, 2932, 21106, 3069, 31467, 1285, 14004, 33809, 5666, 8903, 657, 75230, 2882, 5332, 46646, 39484, 31467, 12483, 23050, 905, 101503, 230764, 4151, 4269, 59929, 6, 4, 4231, 65482, 220224, 49008, 26612, 905, 54260, 5666, 8903, 17410, 109636, 1211, 2205, 44917, 23093, 364, 75230, 4852, 7265, 6, 148222, 1751, 159696, 38054, 12483, 1470, 33809, 5666, 145813, 710, 104149, 26612, 33809, 1211, 220224, 123073, 364, 141943, 6, 4, 8947, 3056, 23050, 4113, 20961, 12483, 4838, 6, 148346, 1644, 33809, 15231, 8903, 60837, 111398, 506, 6, 4, 41764, 69336, 33809, 5666, 8903, 657, 75230, 2882, 220224, 49008, 6235, 130734, 124470, 6, 5, 23050, 119718, 20961, 12483, 3523, 33809, 2442, 36324, 75230, 2808, 163139, 2808, 220224, 2808, 22753, 49008, 8903, 58032, 12483, 2205, 9424, 26612, 54574, 6, 77820, 2442, 6, 75230, 2808, 6, 148222, 6, 148346, 9221, 61397, 6, 4, 1470, 33809, 5666, 24857, 364, 75230, 22426, 2882, 119055, 46646, 54260, 26612, 41764, 23174, 4113, 26612, 364, 26612, 148346, 12483, 7746, 2205, 132025, 27720, 5666, 5666, 67826, 24152, 7369, 25391, 34882, 12483, 6, 4, 6, 238144, 28726, 54260, 26612, 4231, 71577, 12483, 7746, 42493, 6235, 25207, 4944, 35596, 6, 4, 230764, 36324, 2808, 162726, 21660, 149010, 1211, 4838, 710, 148346, 6093, 145168, 36909, 33809, 1211, 6, 54260, 26612, 155787, 12483, 6, 4, 4151, 6681, 151614, 148346, 12483, 6, 148222, 4231, 33809, 5666, 8903, 6, 69181, 6235, 2702, 18640, 22426, 6, 148222, 54260, 48904, 4113, 26612, 8947, 3056, 10339, 33809 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21422, 2808, 6319, 54260, 1211, 1470, 54260, 109985, 6093, 6235, 148346, 7972, 148346, 12483, 6, 4, 4269, 33809, 2442, 6, 148222, 22426, 100810, 8580, 220224, 49008, 1470, 75230, 4667, 23050, 506, 33809, 2932, 22426, 6235, 4113, 20961, 12483, 6, 238144, 1644, 6, 148222, 6, 148346, 15350, 23269, 26612, 58826, 148346, 12483, 8580, 710, 22426, 1211, 6235, 506, 21106, 96986, 7265, 76961, 220224, 123073, 30109, 73381, 96986, 6, 5, 47351, 54745, 1211, 7508, 54260, 2882, 119055, 46646, 6, 148222, 77775, 4231, 33809, 5666, 8903, 657, 54260, 2882, 151614, 148346, 12483, 220224, 8903, 3131, 71804, 8903, 1211, 7265, 6, 148222, 6, 148346, 9221, 61397, 6, 4, 151614, 148346, 12483, 1285, 77775, 41764, 119718, 710, 12483, 1470, 33809, 194734, 95064, 710, 33809, 7511, 12483, 2205, 43649, 40096, 2205, 1470, 54260, 7511, 23269, 5666, 7369, 16932, 84087, 364, 54260, 168155, 1470, 33809, 5666, 41764, 15350, 54260, 5666, 8903, 26612, 220224, 49008, 41764, 20961, 148346, 4484, 35596, 6235, 119718, 20961, 12483, 6, 4, 4151, 10339, 54260, 6093, 6655, 6681, 148346, 2442, 35596, 22426, 15350, 41764, 3111, 31467, 29771, 710, 5332, 1470, 33809, 2932, 17824, 75230, 36419, 241304, 12483, 6, 4, 3523, 33809, 2442, 6, 148222, 6, 148346, 9221, 61397, 151614, 148346, 12483, 42493, 23269, 9183, 26612, 93975, 1211, 5332, 220224, 2808, 364, 26612, 148346, 12483, 9213, 2702, 8903, 506, 164863, 124470, 76961, 155787, 12483, 6, 21106, 18415, 1470, 33809, 5666, 4231, 33809, 5666, 8903, 4, 54260, 26612, 710, 12483, 4838, 33809, 26612, 114955, 6, 5, 22426, 33809, 1211, 15622, 26612, 155787, 12483, 9174, 2808, 148346, 12483, 7746, 1470, 148346, 190135, 17190, 148346, 4113, 196332, 3523, 33809, 2442, 9174, 10705, 4113, 40096, 6, 137218, 710, 12483, 7746, 6, 148346, 20616, 14081, 96986, 6, 148346, 54260, 2808, 220224, 123073, 6, 148346, 37016, 62067, 4113, 191069, 54260, 1211, 8903, 26612, 5332, 4838, 33809, 5666, 1470, 75230, 101608, 6, 148222, 6, 29060, 28726, 148346, 4113, 6, 148346, 20616, 158291, 65482, 155787, 12483, 3056, 54260, 8580, 4838, 54260, 23405, 93975, 1211, 6235, 148346, 7972, 148346, 12483, 5332, 148346, 12483, 6, 5, 26612, 26612, 7201, 22426, 710, 22426, 22426, 54260, 29789, 2451, 132, 148346, 13456, 33809, 6293, 44917, 54561, 16, 22492, 6293, 2451, 953, 292, 22492, 4667, 6, 148222, 6, 112353, 39484, 31467, 4113, 6, 148222, 9213, 148346, 6093, 8903, 171665, 7972, 109636, 8903, 4231, 33809, 93975, 26612, 8903, 192061, 84087, 17824, 75230, 36419, 6, 23173, 148346, 54260, 2882, 3069, 31467, 6, 148346, 210726, 2808, 148346, 12483, 6, 75230, 2808, 6235, 26612, 2932, 2932, 109636, 4838, 75230, 22426, 4852, 54260, 8903, 1211, 93975, 147713, 12483, 2205, 6, 148222, 364, 54260, 168155, 1470, 33809, 5666, 230764, 6, 148222, 4269, 10705, 12483, 5332, 6, 17645, 26612, 4231, 29060, 7201, 33809, 1211, 6, 148222, 6, 148346, 9221, 61397, 230764, 6, 148222, 155787, 12483, 3056, 42493, 74806, 22426, 710, 21295, 23050, 58032, 26612, 26612, 12483, 6, 48350, 54260, 2808, 39484, 31467, 12483, 7746, 20632, 142785, 6235, 159696, 1211, 6, 68558, 6, 148222, 16175, 75230, 18415, 6, 75290, 109636, 710, 5332, 4838, 54260, 4231, 71577, 12483, 46590, 6235, 506, 164863, 124470, 4113, 3069, 16888, 96986, 1470, 33809, 5666, 1285, 6093, 46654, 54260, 3131, 6235, 8903, 148346, 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 ]
[ 15622, 26612, 4838, 54260, 2882, 4852, 54260, 2808, 51963, 1211, 7746, 215594, 93975, 1211, 4151, 7265, 84087, 16175, 75230, 18415, 1470, 54260, 12483, 6, 137218, 710, 12483, 6, 54260, 26612, 23173, 75230, 2702, 8903, 3131, 28726, 22426, 2882, 230764, 10676, 45521, 50853, 6, 4, 4838, 4113, 37016, 6235, 4113, 2808, 137377, 12483, 4838, 54260, 26612, 112216, 93704, 23829, 17741, 850, 10339, 33809, 1211, 5332, 14081, 2648, 1470, 33809, 5666, 6681, 6, 148222, 41764, 54260, 195054, 6, 4, 84087, 4838, 33809, 29771, 12483, 4838, 71577, 12483, 4852, 54260, 2808, 6235, 119718, 20961, 109636, 1211, 2205, 6, 148222, 8248, 31467, 2865, 109636, 1211, 6, 4, 2205, 16175, 54260, 4667, 6, 4, 67882, 2932, 23269, 4231, 71577, 12483, 4838, 54260, 26612, 64044, 148346, 2442, 35596, 6, 4, 6, 148222, 155787, 12483, 6681, 1470, 33809, 5666, 49481, 6, 54260, 6093, 16175, 75230, 2882, 6, 137218, 710, 12483, 6, 17645, 26612, 15907, 7916, 6093, 9934, 101503, 12483, 16175, 75230, 96986, 152, 120439, 24248, 22518, 29111, 364, 18640, 66334, 2932, 4484, 8009, 23829, 6, 148346, 9221, 61397, 39484, 31467, 12483, 6, 148346, 2808, 46685, 20911, 24857, 1470, 33809, 5666, 109636, 26612, 6, 54260, 26612, 6, 54260, 4113, 109636, 2808, 88945, 1211, 3056, 42493, 2808, 6319, 54260, 1211, 1470, 54260, 109985, 6093, 10339, 33809, 1211, 6, 148222, 7508, 54260, 30750, 6, 4, 220224, 1211, 58826, 710, 12483, 4838, 142170, 71577, 2808, 183216, 19302, 20616, 25207, 1211, 119055, 2808, 33809, 220224, 8903, 1211, 6, 148222, 7508, 54260, 107581, 4231, 33809, 49008, 6235, 109636, 710, 109636, 1211, 6, 137218, 905, 22426, 1644, 75230, 55823, 1211, 10339, 33809, 1211, 191069, 3056, 42493, 14856, 97594, 22426, 4, 88945, 1211, 119055, 2808, 33809, 15622, 29789, 12483, 4838, 710, 21106, 75230, 109636, 1211, 705, 119055, 20961, 3131, 4852, 24295, 32792, 6, 186461, 12483, 1285, 705, 2205, 7213, 26632, 6, 17645, 137218, 7972, 12483, 6, 54260, 26612, 54260, 123073, 6, 148346, 37016, 62067, 4113, 4269, 33809, 18415, 32054, 54260, 16747, 6, 148222, 6, 148346, 9221, 61397, 4838, 33809, 5666, 6, 54260, 26612, 6, 54260, 5666, 8903, 26612, 16175, 33809, 12483, 2442, 46646, 42493, 10339, 33809, 1211, 3373, 13342, 506, 6, 159696, 8903, 1211, 3523, 33809, 2442, 4838, 54260, 5666, 22426, 2808, 22426, 186046, 6235, 71804, 5332, 6, 54260, 26612, 4838, 33809, 710, 12483, 51172, 36723, 54574, 12483, 6, 54260, 2808, 4838, 17824, 75230, 36419, 3373, 33809, 18415, 6235, 50853, 6681, 10676, 119055, 40096, 4838, 54260, 26612, 6, 54260, 26612, 148346, 9221, 61397, 6681, 148346, 48340, 12483, 220224, 2808, 6, 4, 6, 141353, 33809, 2050, 49027, 12483, 42355, 6, 148346, 33809, 93975, 26612, 42493, 4838, 26612, 710, 22426, 26612, 132, 171665, 13456, 33809, 6293, 44917, 54561, 16, 4838, 48904, 710, 2451, 953, 6, 109636, 26612, 8903, 1211, 4231, 29060, 192556, 4838, 33809, 5666, 8248, 31467, 49008, 2205, 1054, 69106, 43649, 40096, 3056, 42493, 178748, 32792, 19024, 905, 33809, 2050, 54260, 71577, 54260, 26612, 4838, 75230, 2808, 6235, 148346, 1644, 17645, 148346, 12483, 4838, 162726, 17537, 3069, 31467, 7213, 165354, 44917, 148346, 4838, 17824, 75230, 2702, 12483, 48904, 16629, 5332, 7369, 47567, 15864, 4944, 12483, 7265, 110573, 13456, 33809, 6293, 24857, 76961, 47567, 12483, 163139, 2702, 12483, 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 ]
[ 710, 25603, 22426, 23269, 364, 75230, 4852, 8947, 220224, 49008, 32899, 25491, 1211, 155787, 12483, 6, 4, 19024, 1211, 119055, 109316, 1211, 220224, 2808, 4231, 65482, 22426, 54260, 1211, 6, 148346, 4113, 22426, 21106, 12483, 1470, 33809, 5666, 7265, 6235, 47709, 50853, 6, 23173, 75230, 2702, 23269, 3149, 51723, 10339, 33809, 1211, 140108, 6, 148222, 54260, 20315, 1211, 710, 4838, 33809, 710, 6, 54260, 26612, 16175, 54260, 96986, 5, 35189, 3069, 31467, 26612, 6, 94741, 63020, 18225, 9174, 2808, 148346, 12483, 6235, 50853, 6, 4, 1470, 33809, 112304, 34533, 119055, 29060, 4151, 2865, 171665, 3131, 22426, 42493, 119055, 109316, 1211, 6319, 33809, 51723, 3069, 31467, 2808, 220224, 2808, 6, 4, 39484, 31467, 12483, 220224, 2808, 185000, 6, 71577, 54260, 4113, 14004, 1644, 33809, 7511, 41764, 33809, 1211, 6, 119859, 69106, 43649, 40096, 6, 148346, 9221, 61397, 6, 4, 6, 148346, 29060, 12483, 177274, 1211, 4838, 6, 182078, 54260, 710, 6, 17645, 26612, 4838, 13456, 4667, 6, 115952, 6319, 33809, 96986, 1054, 1470, 33809, 5666, 4151, 7265, 39484, 31467, 12483, 22753, 2808, 6235, 905, 158291, 137218, 710, 12483, 4838, 54260, 16011, 12483, 119055, 13845, 104238, 6, 148346, 9221, 61397, 8947, 119055, 29060, 230764, 10676, 42493, 26612, 710, 109316, 1211, 6235, 109636, 1211, 4838, 6, 182078, 506, 3056, 4838, 210228, 24857, 6, 148346, 54260, 2808, 1470, 30682, 2205, 43649, 33809, 148346, 1644, 33809, 8903, 1211, 6, 17645, 22426, 21106, 109636, 1211, 6, 148222, 7508, 54260, 107581, 155787, 12483, 6, 4, 123736, 148346, 6093, 4151, 210228, 6655, 220224, 32829, 2882, 6, 195054, 33809, 183216, 5332, 4838, 119718, 1644, 6, 148222, 6, 148346, 9221, 61397, 119055, 46646, 6, 148346, 54260, 2808, 220224, 2808, 220224, 49008, 6235, 4113, 12483, 22426, 26612, 71577, 48904, 2932, 65482, 26612, 6, 54260, 20315, 1211, 6, 4, 6, 148222, 151614, 148346, 12483, 6, 120749, 24295, 6681, 29659, 95766, 710, 29060, 6, 95494, 905, 54260, 710, 109316, 364, 71577, 12483, 220224, 4151, 41764, 20961, 6235, 8903, 148346, 12483, 6, 182078, 850, 49481, 3523, 25207, 61397, 29789, 75230, 26612, 4231, 65482, 6, 54260, 161459, 6, 4, 1470, 33809, 1211, 160751, 26632, 506, 12483, 24857, 4151, 874, 95957, 6293, 47567, 6, 148346, 14081, 79950, 33809, 51723, 5332, 33809, 710, 4838, 9183, 26612, 4231, 2205, 191069, 6, 5, 26612, 6, 54260, 119055, 46646, 39484, 31467, 12483, 220224, 7746, 3069, 31467, 364, 75230, 4852, 174246, 6681, 148346, 43590, 2932, 65482, 26612, 33809, 710, 12483, 5332, 6, 238144, 220224, 2808, 24012, 49008, 6235, 4484, 33809, 51723, 4838, 364, 54260, 2050, 39484, 31467, 12483, 39384, 2808, 220224, 123073, 54260, 20315, 1211, 7369, 8300, 33809, 710, 21295, 10676, 1751, 119718, 710, 16747, 13845, 119055, 46646, 4231, 65482, 6, 148346, 9221, 61397, 710, 71577, 12483, 23050, 26612, 905, 186955, 112216, 710, 12483, 5332, 3523, 23173, 5332, 119718, 26612, 39484, 31467, 12483, 42493, 1470, 75230, 2702, 8903, 22426, 5594, 64260, 6, 4, 137377, 4113, 26612, 15750, 59929, 16175, 33809, 2882, 18225, 4151, 3069, 31467, 119055, 59929, 220224, 2808, 39484, 31467, 12483, 23050, 3131, 33809, 20911, 49481, 710, 4838, 905, 33809, 96986, 874, 110970, 6293, 4231, 114436, 119055, 29060, 6428, 33809, 81455, 110573, 13456, 33809, 6293, 84054, 12483, 163139, 2702, 12483, 2205, 132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22426, 13456, 33809, 6293, 44917, 54561, 16, 119055, 13845, 107581, 2451, 1381, 292, 905, 13845, 107581, 364, 75230, 4852, 8947, 3523, 71512, 41764, 14081, 17537, 6681, 148346, 20961, 23269, 8903, 123736, 54260, 12483, 5332, 4231, 76632, 15231, 21106, 159696, 2882, 6, 5, 220224, 1211, 220224, 6093, 42493, 3523, 33809, 2882, 7265, 1470, 54260, 4667, 123736, 88945, 1211, 5332, 6, 54260, 26612, 4838, 905, 109316, 26612, 16175, 33809, 4113, 12483, 2808, 54260, 4667, 6, 23173, 75230, 2702, 8903, 148346, 12483, 3069, 31467, 2808, 1470, 54260, 123073, 6, 148346, 1644, 33809, 2882, 41764, 54260, 16747, 34654, 1211, 5332, 17645, 17645, 6, 17645, 76776, 5332, 2451, 20033, 151614, 148346, 12483, 4151, 3069, 31467, 4838, 23269, 8632, 58826, 148346, 12483, 6, 54260, 26612, 4838, 54260, 4113, 8903, 35596, 59919, 2882, 292, 20033, 49027, 12483, 7213, 165354, 44917, 148346, 4838, 23847, 75230, 2702, 12483, 6, 148346, 13845, 6, 54260, 6, 12483, 159696, 2882, 6319, 33809, 51723, 2205, 1470, 33809, 54561, 6093, 191069, 6, 5, 1470, 33809, 5666, 199145, 54745, 1211, 64769, 3131, 22426, 4838, 905, 29060, 28714, 4944, 12483, 7265, 110573, 13456, 33809, 6293, 119055, 29060, 4151, 6, 148346, 13845, 16804, 3069, 31467, 3131, 149364, 12483, 16175, 71512, 162726, 65482, 26612, 4838, 2451, 16175, 33809, 2882, 24857, 119055, 46646, 9915, 13845, 6093, 292, 39484, 31467, 12483, 6428, 54260, 4231, 33809, 95064, 26612, 4231, 29789, 84577, 26612, 238144, 1644, 4231, 65482, 39484, 31467, 12483, 1751, 75230, 1211, 74806, 93449, 49481, 10676, 6, 148346, 26612, 16629, 5332, 4838, 33809, 710, 4838, 54260, 17645, 26612, 2808, 54260, 6093, 6, 148346, 13845, 16804, 119055, 29060, 6319, 33809, 51723, 60980, 1211, 7369, 6, 80264, 6, 12483, 41764, 15350, 6, 54260, 76632, 4113, 109636, 95766, 5332, 119132, 169532, 151614, 148346, 12483, 6, 148222, 41764, 2808, 4113, 22426, 23173, 2932, 65482, 4838, 75230, 12483, 6, 17645, 54260, 710, 22426, 26612, 6, 148346, 144295, 6293, 7265, 6235, 50853, 3069, 31467, 2808, 10676, 6, 148346, 13845, 16804, 6, 54260, 2808, 4231, 71577, 12483, 2205, 41764, 54260, 4113, 22426, 21106, 2702, 6428, 54260, 2882, 32792, 74806, 12415, 148346, 12483, 6, 4, 1470, 33809, 5666, 220224, 2808, 151614, 148346, 12483, 4838, 33809, 15907, 3523, 6235, 109636, 710, 12483, 6, 137218, 149364, 47567, 6, 148346, 21106, 2648, 6319, 33809, 51723, 3069, 31467, 2808, 6, 148222, 2205, 191069, 5332, 41764, 33809, 54260, 41595, 4838, 710, 29060, 6, 12483, 25207, 96986, 6, 148222, 6, 148346, 21292, 109316, 155787, 12483, 100382, 8248, 31467, 710, 49008, 1054, 23050, 148346, 7972, 109636, 1211, 4231, 29789, 12483, 16175, 33809, 1211, 35189, 6, 148346, 1644, 33809, 15231, 8903, 6, 112353, 6, 5, 119718, 23829, 4151, 6, 148346, 13845, 16804, 9174, 26632, 9213, 148346, 6093, 8903, 28726, 104149, 5332, 12483, 6, 54260, 75230, 12483, 54260, 49008, 148346, 144295, 6293, 6, 4, 364, 15907, 7369, 41764, 20961, 17410, 104149, 220224, 1211, 43649, 40096, 1470, 33809, 1211, 6, 12483, 6, 54260, 1211, 4231, 37016, 33809, 710, 12483, 95766, 163139, 2442, 123103, 6, 5, 21847, 54260, 4667, 3056, 7369, 6, 23173, 54260, 5666, 8903, 22426, 43590, 25207, 1211, 3069, 31467, 1211, 4231, 29060, 4231, 119859, 2884, 4838, 8580, 6, 54260, 8580, 6, 29060, 54260, 1644, 9934, 75230, 2808, 220224, 49008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 159696, 1211, 4231, 33809, 8903, 16747, 41764, 148346, 75230, 152848, 1054, 1470, 33809, 1211, 6, 54260, 26612, 6, 24295, 54260, 5666, 54260, 71577, 65848, 4852, 6, 148346, 54260, 2808, 220224, 2808, 6235, 148346, 7972, 148346, 12483, 230764, 76961, 7544, 28726, 4113, 22426, 13456, 33809, 6293, 44917, 54561, 16, 34654, 1211, 2451, 952, 6, 5, 22426, 95766, 10676, 5332, 13845, 22426, 93975, 1211, 169532, 199145, 4151, 6, 148346, 13845, 16804, 3056, 6235, 4484, 33809, 51723, 26612, 8580, 163139, 5666, 2865, 40697, 3056, 4151, 874, 56703, 6293, 1470, 75230, 148346, 6235, 4484, 33809, 51723, 2205, 163139, 2442, 123103, 6, 4, 6, 148222, 4113, 13456, 109636, 163139, 30473, 18415, 364, 15907, 7369, 6235, 101296, 40920, 3069, 31467, 2808, 10676, 161048, 80264, 6, 5, 26612, 26612, 26612, 26612, 6428, 5, 17645, 26612, 6, 18640, 16562, 3056, 5332, 17537, 6235, 4852, 13159, 12483, 2205, 6, 21106, 7265, 10676, 6, 148346, 13845, 2181, 6, 5, 4113, 54260, 26612, 4231, 71577, 12483, 1054, 5332, 29789, 12483, 2882, 10339, 33809, 1211, 4838, 710, 122165, 93975, 9424, 54260, 96986, 1054, 12483, 220224, 2808, 6, 148346, 54260, 20315, 137218, 710, 12483, 6, 151227, 29789, 35596, 41764, 54260, 2808, 1470, 54260, 1211, 46855, 22426, 2648, 6, 4, 6, 148346, 54260, 20315, 16667, 97483, 2882, 13159, 39484, 31467, 12483, 8248, 4667, 23269, 905, 26612, 26612, 33809, 110970, 12483, 4231, 26632, 220224, 123073, 114955, 47567, 12483, 220224, 1211, 25093, 31467, 12130, 6, 148346, 54260, 2808, 155787, 12483, 6, 4, 76776, 137218, 6, 17645, 26612, 24012, 119718, 26612, 17645, 26612, 43649, 148346, 26612, 2050, 10339, 33809, 1211, 6, 159696, 21295, 6, 448, 6655, 6, 148222, 6, 148346, 54260, 20315, 4269, 33809, 18415, 43178, 54260, 2882, 10339, 71577, 104274, 4113, 26612, 74806, 54260, 2648, 2882, 6, 4, 1470, 54260, 119132, 6655, 4151, 167048, 34322, 6, 5, 4838, 159696, 16580, 29060, 54260, 109636, 1211, 2205, 6, 87311, 7511, 42493, 1470, 33809, 5666, 10676, 3069, 54260, 96986, 2205, 6, 93350, 21422, 2882, 6, 5, 710, 95494, 21106, 4838, 8580, 874, 33809, 2882, 4151, 9424, 75230, 2882, 4269, 119718, 33353, 8580, 4838, 137, 148346, 13845, 165513, 155, 4852, 7369, 6655, 41764, 15350, 23269, 28726, 41595, 6, 186955, 119055, 46646, 6235, 7916, 13497, 7746, 2205, 1285, 77775, 3944, 18415, 4944, 26632, 33809, 2442, 6655, 7369, 8903, 28726, 26612, 12483, 5332, 4231, 33809, 5666, 5332, 46646, 7369, 6655, 1470, 54260, 1211, 107189, 6428, 33809, 2442, 4944, 8903, 28726, 104149, 6655, 5332, 4667, 24857, 17645, 710, 75230, 185226, 41764, 54260, 1211, 107189, 204982, 6681, 23269, 109636, 6, 4, 7369, 6655, 657, 17645, 148346, 6235, 506, 40096, 3069, 31467, 28726, 17645, 12483, 4838, 142170, 17645, 145813, 26612, 2808, 4944, 12483, 6, 4, 4113, 7369, 364, 15907, 174246, 4838, 6, 29400, 75230, 36419, 13754, 20616, 26612, 8580, 41764, 15350, 6, 17645, 170763, 54260, 65482, 123736, 13845, 710, 127710, 8903, 1211, 4231, 7369, 6655, 174246, 17824, 119718, 109636, 54260, 26612, 710, 33809, 20260, 54260, 109636, 1211, 3069, 31467, 58826, 8903, 1211, 1285, 3131, 25603, 186046, 6, 54260, 20315, 1211, 1470, 33809, 2932, 6, 80453, 54260, 196332, 1211, 41764, 14004, 42493, 54260, 710, 12483, 5332, 4838, 33809, 26612, 4838, 26612, 26612, 33809, 2882, 6655, 6, 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 ]
[ 6235, 28726, 4113, 4113, 6, 148222, 5332, 29771, 3131, 75230, 10339, 33809, 1211, 221895, 4113, 22426, 13456, 33809, 1211, 5332, 68313, 1211, 44917, 54260, 226976, 2451, 1039, 292, 218705, 226976, 6, 4, 119055, 12483, 7369, 6655, 6235, 506, 21106, 96986, 4838, 21776, 20315, 186046, 6, 137218, 48904, 710, 75230, 104149, 20616, 2808, 148346, 12483, 6, 148222, 3069, 31467, 506, 6093, 6093, 6235, 21847, 75230, 148346, 2882, 24857, 7369, 3056, 4838, 41764, 76776, 2932, 8300, 165592, 4113, 5332, 6, 54260, 15350, 26632, 54260, 5666, 40697, 1470, 33809, 5666, 6, 68566, 4944, 40697, 1751, 80453, 34557, 12483, 6655, 7369, 6235, 4484, 62067, 6, 54260, 47526, 33809, 22426, 6, 21660, 8580, 87644, 95138, 3056, 6235, 159696, 1211, 7265, 19302, 114436, 4113, 10339, 54260, 710, 54260, 96986, 5332, 3523, 33809, 1211, 6, 17645, 26612, 3131, 99176, 2050, 1470, 33809, 5666, 4151, 17824, 75230, 101608, 43649, 33809, 25207, 2050, 163139, 16747, 9174, 26632, 1470, 30682, 112216, 54260, 26612, 71577, 12483, 95766, 6, 93350, 220224, 2882, 3069, 31467, 2808, 220224, 119132, 6, 148346, 16870, 75230, 6093, 12483, 6655, 7369, 6235, 39293, 42023, 5332, 40096, 6, 54260, 26612, 2808, 88945, 1211, 657, 54260, 20315, 1211, 17824, 75230, 36419, 6, 147185, 6, 148222, 6, 149364, 145168, 3111, 31467, 183216, 3056, 4838, 26612, 148346, 4113, 137218, 26612, 54260, 22426, 7972, 22426, 192061, 7369, 7746, 6, 148346, 79238, 17410, 2702, 48350, 123736, 148346, 8300, 33809, 186145, 96986, 10339, 33809, 36324, 2808, 6, 109636, 2932, 22426, 21106, 194734, 112216, 7972, 5332, 6093, 3056, 9213, 148346, 6093, 22492, 183216, 3069, 31467, 2050, 9424, 238144, 96986, 1157, 61397, 6, 4, 7369, 37826, 6235, 57277, 26612, 15907, 148346, 54260, 2808, 7746, 119055, 12483, 7369, 119055, 29060, 6, 148346, 1644, 54260, 148346, 12483, 4838, 155787, 119055, 29060, 7369, 41764, 2808, 26612, 6, 54260, 26612, 4838, 33809, 710, 12483, 2932, 20961, 7243, 51678, 6, 207682, 6, 4, 123736, 148346, 6093, 119055, 12483, 7369, 119055, 29060, 6, 148346, 8580, 112216, 15907, 54260, 2882, 16175, 33809, 2882, 4852, 54260, 123073, 6681, 145168, 61397, 1470, 33809, 5666, 7369, 1054, 29060, 163139, 2702, 12483, 76961, 220224, 4113, 109636, 162726, 65482, 22426, 5332, 26612, 1054, 109636, 63188, 99509, 75230, 40920, 51678, 4838, 73256, 3069, 31467, 3131, 16932, 12483, 220224, 123073, 620, 13159, 18415, 23050, 26612, 905, 26612, 4231, 40096, 4852, 54260, 2808, 163139, 1644, 12483, 6, 23173, 75230, 2702, 8903, 148346, 12483, 230764, 6, 148222, 155787, 12483, 6, 5, 1470, 33809, 1211, 6, 148346, 2808, 101296, 6, 137218, 710, 25603, 26612, 46590, 73256, 874, 206014, 6235, 159696, 1211, 6, 148222, 6, 65442, 42142, 119055, 46646, 124724, 6, 148346, 9221, 61397, 4231, 71577, 12483, 8903, 146887, 6, 4, 119055, 12483, 6, 148222, 155787, 12483, 39484, 31467, 12483, 4151, 10498, 87442, 4838, 142170, 6235, 54260, 26612, 4838, 54260, 710, 12483, 4852, 54260, 2808, 6, 148346, 14081, 2648, 6, 195054, 68561, 12483, 3069, 31467, 1470, 30682, 4, 3523, 33809, 2442, 21776, 2050, 141879, 1211, 112216, 1644, 4231, 40096, 75903, 165592, 54260, 2808, 42493, 6235, 4484, 62067, 45223, 55823, 1211, 9213, 148346, 6093, 45521, 93509, 54260, 2648, 65482, 4838, 33809, 4113, 137218, 710, 12483, 4838, 15622, 40096, 6093, 6655, 6, 148222, 42493, 23050, 46985, 33809, 2882, 7369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21733, 20616, 25207, 1211, 163139, 1644, 6, 12483, 4231, 40096, 53521, 2808, 174246, 35189, 1285, 59461, 364, 15907, 6, 33809, 20315, 2050, 364, 92500, 6235, 18415, 1644, 29771, 29060, 4231, 59929, 5332, 4113, 26612, 4231, 22426, 3131, 22426, 68313, 6235, 4484, 33809, 51723, 1470, 33809, 5666, 7369, 163139, 1644, 7508, 54260, 20315, 1211, 7265, 4838, 5594, 710, 5332, 4231, 40096, 6, 17645, 26612, 4838, 2932, 16562, 8903, 62067, 3069, 31467, 2808, 220224, 1211, 4231, 33809, 8903, 16747, 32054, 54260, 16747, 10676, 6, 148346, 13845, 4231, 57277, 4231, 33809, 26612, 41764, 54260, 54260, 6, 54260, 4852, 54260, 12483, 6, 4, 6255, 49027, 6, 148346, 8580, 49920, 12483, 119055, 46646, 163139, 1644, 4151, 4231, 33809, 4113, 26612, 6, 54260, 3111, 31467, 54260, 2882, 41764, 33809, 1211, 62808, 6, 4, 119055, 46646, 45521, 2932, 143409, 2882, 7369, 6, 4, 6235, 5666, 75230, 2702, 4838, 8580, 7369, 6235, 4484, 33809, 109636, 1211, 620, 4113, 22426, 17645, 22426, 207682, 6, 148222, 206105, 1470, 88945, 17410, 4667, 119055, 46646, 657, 54260, 12483, 6, 148346, 4113, 26612, 14081, 96986, 41764, 54260, 26612, 6, 54260, 26612, 132, 171665, 13456, 33809, 6293, 44917, 54561, 16, 6, 29060, 2451, 1105, 41764, 2932, 33809, 2882, 4231, 12483, 54260, 8903, 6, 148346, 9221, 61397, 6, 4, 6255, 6, 159696, 23829, 30682, 37922, 22426, 27720, 183216, 6, 148346, 171665, 61722, 6, 159696, 96986, 6, 54260, 26612, 6235, 119718, 21292, 41764, 2808, 64260, 2442, 75230, 12483, 220224, 23269, 620, 91595, 4113, 78104, 148346, 32829, 36326, 162726, 114436, 905, 109316, 1211, 6, 56052, 44917, 152848, 2050, 8248, 31467, 4944, 12483, 4838, 7265, 13845, 163139, 20033, 55242, 1644, 12483, 220224, 3069, 31467, 105235, 15388, 6, 4, 58032, 54260, 186797, 3056, 4151, 13278, 26892, 6, 23173, 54260, 5666, 8903, 22492, 183216, 2205, 119055, 101503, 48350, 2808, 14081, 119055, 2808, 33809, 20315, 1211, 4231, 92867, 3131, 6293, 9934, 6235, 4852, 13159, 12483, 7265, 4838, 17824, 75230, 36419, 44917, 54561, 2205, 364, 104274, 6, 5, 2932, 80264, 6655, 2205, 132025, 22426, 122978, 6235, 2648, 54260, 185226, 24857, 7369, 6655, 26612, 54260, 26612, 4838, 137218, 64890, 65442, 6235, 148346, 148346, 2808, 171665, 2882, 4838, 75386, 874, 124470, 5927, 6, 5, 123736, 148346, 6093, 7369, 6655, 23050, 85465, 57277, 32887, 26612, 26612, 4151, 874, 95957, 6293, 6655, 1470, 30682, 7369, 21733, 77188, 24857, 6, 148222, 44917, 54561, 6655, 13845, 6, 17645, 137218, 84577, 6681, 6, 148222, 6, 148346, 9221, 61397, 22753, 2808, 119055, 29060, 220224, 2808, 6, 238144, 104149, 119055, 2808, 33809, 8947, 1644, 41595, 4838, 6, 54260, 2648, 6, 148346, 20616, 21106, 96986, 6, 5, 20315, 26612, 6, 176727, 2884, 4231, 40096, 7746, 220224, 6093, 6235, 119718, 2808, 33809, 83182, 2882, 230764, 3523, 71512, 564, 75230, 2648, 6, 4, 12483, 4231, 40096, 4838, 5594, 2882, 6235, 80453, 4113, 98833, 6, 238144, 36324, 75230, 2808, 119055, 29060, 6, 148222, 1470, 54561, 213909, 12483, 36324, 2808, 4113, 71577, 5332, 54260, 104149, 6, 5, 26612, 4838, 8580, 6, 54260, 2808, 44917, 54561, 39484, 31467, 6255, 6, 23173, 54260, 5666, 8903, 17410, 104149, 4838, 110573, 13456, 33809, 6293, 292, 6655, 17645, 26612, 4231, 22426, 3131, 22426, 6235, 4852, 176727, 292, 1470, 33809, 5666, 163139, 2808, 6255 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 170098, 9213, 46244, 6, 23173, 75230, 2702, 10339, 33809, 1211, 874, 54260, 1211, 26612, 208048, 41764, 2932, 41595, 5332, 137218, 6, 23173, 75230, 6293, 230764, 10676, 19024, 22426, 10339, 33809, 1211, 364, 75230, 4852, 119055, 2808, 364, 101503, 54260, 26612, 112216, 76776, 1211, 710, 4838, 6235, 506, 75230, 46685, 155787, 6, 5, 26612, 1470, 75230, 148346, 36324, 75230, 2808, 292, 6655, 4151, 364, 13497, 33809, 1211, 150764, 292, 23050, 56417, 6428, 54260, 1211, 17645, 22426, 3131, 22426, 109636, 64890, 65442, 1470, 33809, 1211, 4269, 54260, 2808, 7265, 9213, 46244, 4838, 119055, 37016, 2205, 1470, 33809, 16932, 6235, 148346, 29060, 75230, 26612, 26612, 26612, 5332, 84577, 12483, 15622, 13845, 148346, 1211, 7746, 5666, 76961, 9213, 148346, 6093, 8300, 54260, 8903, 1211, 36324, 6428, 54260, 1211, 110573, 13456, 33809, 6293, 3056, 710, 33809, 22426, 54260, 26612, 5332, 34654, 22426, 119055, 13845, 5332, 101503, 6, 148346, 21106, 2648, 1470, 75230, 4667, 6319, 33809, 51723, 6, 4, 6255, 6, 195054, 205026, 4113, 54260, 710, 12483, 3069, 31467, 1211, 5332, 20616, 1211, 36324, 2808, 6, 139485, 33809, 2702, 12483, 110573, 13456, 33809, 6293, 2819, 4113, 148346, 13456, 33809, 6293, 44917, 54561, 16, 4151, 2451, 744, 292, 35189, 874, 95957, 6293, 9174, 26632, 21422, 1211, 6, 148346, 4113, 171665, 3131, 7201, 26, 124470, 4113, 6, 119859, 54561, 4838, 159696, 4484, 6, 17645, 26612, 137218, 710, 12483, 95766, 6235, 148346, 29060, 364, 75230, 4852, 6, 4, 1470, 33809, 5666, 4151, 10367, 80264, 6655, 7746, 3069, 31467, 26612, 33809, 4484, 6235, 17645, 26612, 15907, 8300, 33809, 220224, 1211, 44917, 16803, 2205, 6, 74004, 14081, 6, 23173, 54260, 1211, 6, 5, 2451, 137765, 6681, 29659, 54260, 2808, 6255, 292, 6655, 4151, 6, 176727, 2884, 23050, 26612, 26612, 98833, 4838, 64044, 119055, 46646, 4151, 364, 54260, 1644, 161459, 3523, 148346, 23829, 6681, 21847, 54260, 40920, 124724, 4838, 54260, 54260, 4113, 5332, 26612, 26612, 26612, 8300, 33809, 4838, 6235, 119718, 127684, 12483, 6, 4, 163139, 1644, 22753, 2808, 6655, 85596, 29025, 12483, 4838, 88945, 26612, 6, 54260, 26612, 6, 17645, 22426, 33809, 15907, 2648, 46646, 192544, 6, 4, 1470, 33809, 5666, 112389, 20315, 2050, 6655, 22753, 2808, 112389, 238144, 4113, 8903, 22426, 5332, 4838, 4838, 4838, 26612, 75230, 26612, 4838, 8580, 17645, 56169, 7265, 6, 148222, 77775, 6, 147185, 2205, 163139, 2442, 147502, 6, 4, 6, 123145, 6, 54260, 26612, 112216, 1644, 17645, 148346, 1644, 148346, 33809, 18273, 1470, 33809, 5666, 49481, 6, 148222, 6, 148346, 1644, 33809, 15231, 8903, 6, 112353, 6, 4, 119055, 46646, 5332, 54260, 49008, 36324, 54260, 26612, 41764, 33809, 1211, 2808, 88945, 1211, 6235, 506, 164863, 124470, 6235, 119718, 20961, 12483, 8947, 220224, 49008, 3523, 33809, 2442, 9213, 148346, 43178, 8903, 148346, 1644, 33809, 109636, 1211, 4838, 4838, 54260, 71512, 36723, 76216, 1644, 155787, 12483, 119055, 46646, 206105, 6, 148346, 20961, 63593, 506, 6093, 10918, 8903, 6, 148346, 9183, 8903, 26612, 4231, 71577, 12483, 4838, 26612, 710, 22426, 4852, 54260, 10705, 6, 5927, 83811, 174246, 6, 4, 1470, 33809, 5666, 42493, 18133, 46985, 230764, 220224, 26612, 1054, 54260, 26612, 4838, 26612, 710, 4838, 54260, 4113, 26612, 64044, 24621, 8903, 1211, 6, 4, 24857, 6681, 13982, 34533, 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 ]
[ 148222, 16175, 9221, 32829, 36326, 6, 148346, 33809, 95064, 1211, 5332, 4231, 71577, 12483, 6, 54260, 26612, 23173, 2808, 22426, 8903, 148346, 2442, 115536, 4838, 874, 95957, 6293, 119055, 46646, 6655, 4838, 44917, 54561, 1470, 33809, 5666, 6428, 33809, 710, 22426, 41764, 33809, 3131, 33809, 22426, 4838, 905, 29060, 30473, 2808, 147582, 506, 12483, 1470, 33809, 5666, 6, 148346, 1644, 54260, 148346, 12483, 43649, 54260, 1211, 230764, 6, 148222, 54745, 104238, 10339, 33809, 1211, 6, 54260, 26612, 6, 54260, 54260, 4113, 26612, 119718, 2808, 33809, 8947, 6, 54260, 49008, 6681, 148346, 29766, 8903, 1211, 6, 148222, 9213, 148346, 6093, 6235, 22426, 7972, 22426, 65482, 5332, 22426, 28726, 17645, 2808, 88945, 44779, 6, 4, 119055, 109316, 1211, 21422, 2808, 112389, 20315, 2050, 6, 148346, 4113, 22426, 14081, 12483, 230764, 4231, 65482, 4838, 54260, 1211, 4838, 33809, 710, 159696, 1644, 12483, 9424, 119718, 710, 183216, 10676, 4269, 33809, 96986, 6, 148346, 15435, 61397, 19024, 2050, 7369, 47567, 10676, 6, 17645, 137218, 7972, 65482, 22426, 2808, 88945, 1211, 6, 23173, 75230, 2702, 8903, 148346, 12483, 6, 4, 119055, 109316, 1211, 220224, 2808, 1470, 30682, 6, 49268, 183216, 6, 5, 2451, 1470, 33809, 5666, 4151, 3069, 31467, 2808, 3056, 51328, 6319, 54260, 1211, 5332, 8632, 10339, 26612, 26612, 47351, 4231, 4838, 4231, 40096, 35189, 6, 148346, 13845, 16804, 6235, 80453, 4113, 98833, 705, 6, 7961, 39484, 31467, 4151, 3069, 31467, 6319, 54260, 1211, 5332, 8632, 292, 364, 15907, 6, 63188, 6, 12483, 6, 17645, 26612, 26612, 2932, 57277, 46590, 710, 40920, 6, 238144, 16803, 6428, 33809, 4151, 3069, 31467, 4838, 7265, 13845, 6255, 16175, 33809, 1211, 6, 54260, 26612, 4231, 29060, 6, 71577, 710, 5332, 26612, 8903, 1211, 2648, 46646, 36324, 75230, 2808, 163139, 2808, 6255, 6, 80453, 54260, 4113, 205026, 7265, 6428, 54260, 1211, 6319, 33809, 96986, 4231, 33809, 26612, 16175, 54260, 6, 64260, 165592, 75230, 2808, 39484, 31467, 6255, 874, 151461, 41764, 15096, 54260, 40920, 110573, 116793, 2882, 6, 54260, 2808, 44917, 76776, 4838, 75230, 22426, 4231, 33809, 8580, 3523, 71577, 132, 148346, 13456, 33809, 2050, 64890, 54561, 16, 4838, 26612, 26612, 137218, 2451, 42572, 304, 6, 57277, 26612, 75230, 22426, 5332, 119055, 109316, 1211, 10184, 13845, 6, 148346, 9221, 61397, 6, 23173, 33809, 124403, 214766, 12483, 874, 54260, 1211, 364, 75230, 4852, 1470, 33809, 5666, 119055, 109316, 1211, 905, 48904, 12483, 4838, 8580, 1211, 76961, 186046, 148346, 20961, 8903, 8903, 7369, 16932, 4, 1470, 33809, 5666, 1470, 75230, 148346, 220224, 2808, 5332, 109316, 1211, 1285, 95064, 22426, 33809, 49008, 41764, 23829, 874, 54260, 119055, 109316, 1211, 39384, 2808, 6235, 119718, 21292, 124724, 69741, 183216, 7265, 17824, 75230, 46053, 54260, 1211, 17645, 1470, 33809, 1211, 9213, 148346, 119055, 13845, 9174, 2808, 148346, 12483, 17824, 75230, 2702, 41764, 43590, 13982, 33809, 2702, 1470, 33809, 5666, 29566, 152848, 6, 4, 9213, 148346, 78683, 1211, 5332, 14004, 42493, 7746, 43649, 109316, 1211, 6, 112353, 202446, 12483, 7265, 4838, 14004, 2808, 84087, 51723, 20315, 710, 5332, 26612, 4231, 33809, 710, 364, 59929, 2882, 364, 91595, 874, 54260, 1211, 3944, 148346, 6093, 4231, 148346, 141943, 32054, 54260, 16747, 292, 6655, 17645, 26612, 6, 148346, 13845, 16804, 23050, 74004, 98833 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 51328, 6255, 14779, 4113, 109636, 3069, 31467, 2808, 3523, 26632, 24857, 6428, 33809, 5332, 119273, 710, 33809, 710, 22426, 78104, 22426, 6319, 54260, 1211, 6681, 13982, 33809, 2702, 9174, 2808, 148346, 12483, 6, 4, 6428, 33809, 2808, 16175, 33809, 2808, 3523, 33809, 2442, 874, 54260, 1211, 6, 59919, 143409, 6, 4, 710, 29060, 1751, 75230, 1211, 4838, 75386, 119055, 6093, 12483, 2205, 6, 148346, 13159, 96986, 6, 29766, 20315, 3111, 31467, 23405, 6, 5, 26612, 1470, 75230, 148346, 8947, 1054, 29060, 3523, 33809, 2442, 874, 43178, 32792, 21422, 1211, 3069, 31467, 2808, 6, 207682, 6428, 54260, 1211, 6, 59919, 17410, 5666, 5666, 292, 710, 40096, 6, 17645, 26612, 4838, 29789, 33809, 1211, 6235, 35596, 109636, 171665, 2882, 292, 49027, 710, 168892, 6235, 119718, 21292, 874, 33809, 2882, 6, 148222, 24295, 25207, 17645, 93975, 7511, 49008, 58826, 1211, 5332, 6, 21106, 74004, 220771, 710, 20033, 119055, 46646, 6, 149364, 17410, 5666, 16667, 2882, 6428, 33809, 2808, 42572, 33809, 1211, 6, 5, 9719, 48775, 5, 26612, 7508, 54260, 1211, 6, 149364, 143409, 3056, 141107, 4838, 19302, 54260, 110317, 4484, 54260, 2882, 292, 6655, 4151, 3131, 22426, 6235, 29771, 26612, 98833, 4838, 6428, 33809, 5332, 14081, 16803, 6, 56052, 6681, 6, 136775, 108209, 12483, 2205, 6428, 54260, 23269, 364, 54260, 186461, 37016, 119859, 54260, 4113, 26612, 905, 4838, 33809, 5666, 16175, 33809, 2882, 127461, 6, 148346, 8580, 2205, 6428, 54260, 1211, 6235, 148346, 29060, 364, 75230, 4852, 119055, 2808, 33809, 4151, 874, 95957, 6293, 26612, 137218, 6, 137218, 98833, 137765, 7265, 220224, 1211, 6, 148346, 4113, 171665, 3131, 22426, 26, 17645, 1470, 54561, 74, 6428, 33809, 1054, 119273, 220771, 12483, 200284, 26612, 33809, 22426, 6, 148346, 8580, 4838, 6, 54260, 15907, 86733, 41764, 5666, 54260, 2648, 161459, 1470, 33809, 5666, 6428, 33809, 119055, 119273, 20033, 33469, 148346, 2648, 220224, 1211, 3069, 31467, 4113, 26612, 710, 12483, 4838, 6, 1211, 26612, 16629, 6428, 33809, 6, 238144, 16803, 19024, 6293, 36324, 6255, 6, 148346, 8580, 70845, 43649, 104274, 3069, 31467, 6, 80453, 54260, 54260, 129891, 95766, 4231, 29060, 3523, 54260, 16803, 42572, 33809, 1211, 6, 54260, 2808, 6, 148346, 33809, 905, 61397, 19024, 1211, 9174, 2808, 109636, 6255, 24857, 1285, 112711, 5666, 54260, 4113, 76776, 54260, 26612, 42572, 33809, 1211, 6, 54260, 26612, 6, 17645, 22426, 3131, 22426, 26, 18415, 44917, 54561, 1054, 29060, 6235, 119718, 21292, 6, 148346, 21338, 119055, 6093, 12483, 5332, 1470, 33809, 142170, 26612, 4231, 22426, 16629, 4231, 29060, 7265, 6, 148346, 8580, 44917, 54561, 1211, 4838, 177282, 75230, 109636, 1211, 10339, 33809, 1211, 6, 17645, 119132, 6, 99766, 10339, 33809, 1211, 710, 76776, 49008, 6, 12483, 4838, 8580, 4231, 37016, 33809, 96986, 6, 4, 49027, 12483, 20033, 6, 17645, 96986, 124724, 6, 29060, 28726, 148346, 4113, 137218, 710, 22426, 2884, 2932, 65482, 4838, 54260, 12483, 10339, 33809, 1211, 142257, 109636, 1211, 112106, 2648, 6, 5, 4113, 22426, 13456, 33809, 6293, 24012, 69855, 6428, 54260, 1211, 2451, 73095, 6, 7961, 6428, 54260, 1211, 6, 149364, 17410, 5666, 5666, 292, 6655, 4151, 83336, 80264, 23050, 4113, 84577, 4838, 5332, 21106, 41764, 17537, 63188, 46590, 2882, 119055, 6093, 12483, 6, 4, 6255, 874, 33809 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4852, 124724, 6, 148222, 119055, 43590, 5594, 54260, 2882, 5332, 26612, 8903, 1211, 6, 47351, 4838, 26612, 26612, 148346, 4113, 119718, 2808, 33809, 83182, 4113, 6428, 54260, 1211, 17824, 75230, 2702, 12483, 874, 33809, 23093, 1470, 33809, 5666, 29434, 54260, 73215, 20260, 75230, 2882, 6, 56052, 75903, 109316, 1211, 39293, 42023, 1054, 46646, 6, 148222, 9424, 54260, 2882, 119055, 29060, 21923, 6, 5, 905, 5, 1644, 35189, 9174, 5666, 26892, 9174, 26632, 10676, 6, 148346, 13845, 16804, 186046, 54260, 95564, 54260, 2882, 4231, 238144, 4838, 4269, 54260, 16803, 149010, 1211, 6, 80453, 54260, 29257, 61397, 6, 4, 1470, 33809, 5666, 6, 148346, 26612, 192061, 1054, 26612, 54260, 2882, 4838, 26612, 25603, 710, 6, 17645, 22426, 8580, 15907, 95766, 220224, 1211, 6235, 148346, 29060, 364, 75230, 4852, 1470, 33809, 5666, 7369, 6655, 123736, 54260, 2050, 874, 22426, 22426, 710, 23050, 54260, 12483, 6, 76776, 80453, 54260, 196332, 1211, 6, 5, 35189, 6, 148346, 13845, 16804, 3056, 6, 23173, 75230, 111137, 240863, 12483, 6, 238144, 4838, 23050, 7511, 18415, 26612, 6, 54260, 54260, 54260, 23269, 26612, 2808, 75230, 6293, 10676, 6, 99766, 6, 5, 119055, 2808, 33809, 4151, 13278, 80264, 10339, 147713, 2882, 41764, 54260, 54260, 93975, 1211, 5332, 6, 12483, 4231, 40096, 8903, 4852, 62067, 4838, 29434, 15908, 36324, 13845, 107581, 119055, 46646, 10676, 123736, 2932, 85744, 4838, 33809, 5666, 76961, 41764, 54260, 23269, 26612, 68313, 6235, 61541, 12483, 6235, 159696, 1211, 6, 4, 36324, 2808, 3523, 33809, 18415, 1470, 33809, 1211, 6, 120749, 93975, 6, 101328, 16629, 6, 137218, 710, 12483, 39384, 8903, 506, 77188, 10676, 200795, 1211, 3373, 14081, 1470, 33809, 2932, 36324, 54745, 1211, 41764, 12483, 7213, 4231, 40096, 148346, 2808, 46685, 20911, 24857, 6, 148222, 3069, 31467, 506, 6093, 6093, 24012, 49008, 3069, 31467, 41764, 54260, 710, 12483, 7265, 5332, 54260, 1211, 6, 54260, 3131, 109636, 3149, 26632, 7369, 132025, 8903, 22426, 112711, 49008, 220771, 4113, 220224, 2808, 874, 33809, 49268, 6, 4, 6, 12483, 364, 15907, 5332, 54260, 26612, 5332, 54260, 17645, 54260, 2882, 2648, 46646, 6, 148222, 4838, 33809, 2648, 40697, 182990, 6, 124470, 26659, 10339, 33809, 1211, 123736, 2932, 22426, 26612, 2932, 5666, 41764, 8580, 5332, 142170, 4838, 8580, 506, 54260, 186461, 6, 238144, 1644, 95455, 6655, 4269, 26632, 4838, 79981, 6235, 8903, 109636, 1211, 2205, 6, 137218, 7972, 98071, 144862, 29025, 1644, 4, 1470, 33809, 5666, 36324, 75230, 2808, 163139, 29771, 3523, 40096, 6319, 47351, 42493, 186046, 76632, 4113, 15907, 6, 54260, 29789, 12483, 5332, 6, 137218, 26612, 7682, 17537, 6, 148222, 6, 124470, 26659, 42493, 1054, 6093, 12483, 4838, 83182, 3131, 5332, 5332, 26612, 6, 54260, 710, 22426, 2882, 6, 54260, 69336, 26612, 4838, 26612, 710, 22426, 132, 148346, 13456, 33809, 6293, 22492, 54561, 16, 5332, 9416, 26612, 2451, 1438, 292, 4113, 238144, 6, 238144, 5332, 122978, 6, 148222, 6, 159696, 21295, 119055, 29060, 42493, 163139, 16803, 1470, 33809, 5666, 17190, 6093, 119055, 6093, 12483, 6, 4, 165592, 75230, 26612, 657, 24295, 5666, 119055, 29060, 1285, 14004, 77775, 6, 124470, 26659, 148707, 119273, 17645, 12483, 5332, 1470, 33809, 2442, 6, 141353, 33809, 2050, 4113, 29789, 12483, 874, 54260, 24857, 76961, 364, 54260, 7972, 8903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 29259, 17645, 23050, 4852, 21660, 8903, 148346, 6093, 14779, 109636, 1211, 1285, 14004, 33809, 54260, 42493, 874, 206014, 6235, 159696, 1211, 6, 4, 3523, 33809, 2442, 7369, 21733, 20616, 33716, 2205, 97483, 5666, 107581, 7369, 16932, 54260, 26612, 4231, 15703, 41764, 33809, 1211, 6, 148222, 6, 124470, 26659, 6, 4, 8947, 24012, 148346, 2882, 123736, 148346, 6093, 36324, 13845, 107581, 23050, 148346, 26632, 2205, 17645, 26612, 41764, 54260, 506, 163139, 2702, 6319, 54260, 1211, 3523, 54260, 6093, 6235, 4852, 21660, 8903, 148346, 6093, 60980, 1211, 6235, 7916, 49008, 2205, 9213, 46244, 208048, 142170, 26612, 4231, 33809, 5927, 6, 238144, 6, 148222, 155787, 12483, 17190, 4113, 8903, 1211, 10676, 6235, 148346, 64260, 6, 4, 3069, 31467, 2050, 148346, 54260, 3131, 22426, 15350, 5, 4838, 54260, 8903, 163139, 148346, 2882, 33809, 8903, 6235, 148346, 26632, 24012, 148346, 2882, 2205, 6, 148222, 77775, 6, 124470, 26659, 144754, 10676, 1470, 75230, 92904, 7682, 137, 17410, 3947, 155905, 155, 364, 33809, 2808, 9934, 21106, 16803, 42493, 874, 159870, 12483, 6, 4, 6428, 33809, 14004, 21106, 16803, 42493, 874, 159870, 12483, 6, 5, 6428, 33809, 5, 2808, 47567, 16803, 42493, 6, 130734, 8903, 1211, 6, 4, 6, 148222, 6, 124470, 33809, 17800, 152036, 7511, 2882, 6, 159696, 51723, 6, 4, 6, 238144, 1644, 6, 148222, 6235, 171665, 26632, 3056, 230764, 76961, 51723, 150764, 6235, 119718, 26612, 8903, 1211, 5332, 18225, 6, 174410, 42493, 6, 130734, 8903, 1211, 6319, 54260, 1211, 14856, 110970, 12483, 123736, 42023, 1470, 33809, 194734, 93509, 54260, 2648, 6, 4, 710, 119718, 1211, 4838, 54260, 12483, 6319, 54260, 1211, 6, 148346, 121865, 96986, 6, 4, 6319, 54260, 1211, 6235, 26394, 16747, 127684, 6, 4, 6319, 54260, 1211, 6, 147455, 54260, 59461, 6, 5, 6319, 75230, 2050, 26612, 137218, 6, 12483, 4838, 14856, 110970, 4, 6, 148346, 1644, 33809, 2882, 1470, 33809, 5666, 46654, 54260, 3131, 6, 4, 6, 174410, 18225, 220224, 1211, 6, 148346, 1644, 33809, 2882, 42493, 4113, 26612, 18640, 33809, 710, 12483, 5332, 2205, 6, 148222, 6, 26394, 42023, 6235, 148346, 15907, 43649, 54260, 2882, 3523, 33809, 2442, 74806, 12415, 148346, 12483, 137, 17410, 26612, 26612, 54260, 9183, 4838, 149364, 1470, 33809, 1211, 221895, 7369, 16932, 2205, 4151, 6, 124470, 26659, 3056, 74806, 12415, 148346, 12483, 54260, 26612, 26612, 26612, 4838, 33809, 5666, 6428, 54260, 2882, 32792, 119055, 46646, 6681, 167048, 175722, 4151, 14856, 110970, 6655, 119055, 12483, 12483, 112216, 2932, 2932, 33809, 15907, 1470, 33809, 110970, 33809, 50853, 33809, 23269, 6, 148346, 1644, 33809, 2882, 6, 4, 8947, 45223, 23741, 1470, 30682, 6319, 54260, 1211, 6235, 50853, 4151, 8300, 33809, 5332, 6, 29060, 119055, 77188, 220224, 1211, 22753, 16747, 42493, 6681, 8903, 148346, 12483, 6428, 33809, 81455, 117902, 80885, 1211, 6, 4, 6428, 33809, 81455, 22426, 22426, 33809, 54260, 5332, 4838, 33809, 75230, 6319, 54260, 1211, 5332, 2808, 4113, 42493, 6, 4, 3523, 33809, 2442, 220224, 1211, 6, 148346, 1644, 33809, 2882, 874, 33809, 4852, 6681, 22492, 2702, 12483, 119055, 6093, 12483, 6, 4, 12483, 16175, 33809, 1211, 41764, 15350, 12483, 10676, 6, 105439, 10339, 33809, 1211, 16175, 75230, 2882, 163139, 2808, 4231, 114436, 6655, 6235, 111684, 21295, 6, 4, 20315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26612, 7265, 6, 21106, 54260, 1211, 3056, 7369, 125523, 42493, 10339, 77188, 24295, 6, 4, 7369, 6, 148346, 13845, 33809, 63532, 1470, 17824, 75230, 36419, 95494, 29771, 26612, 710, 4838, 119718, 6293, 4231, 65482, 6, 159696, 21295, 6, 4, 2205, 1285, 6235, 148346, 26632, 137, 17410, 55918, 8632, 155, 6655, 49481, 710, 75230, 1211, 14856, 110970, 1211, 42493, 150764, 4838, 22492, 83182, 41764, 15703, 76961, 6235, 4852, 21660, 8903, 148346, 6093, 17645, 40096, 4838, 54260, 49008, 6235, 4484, 33809, 51723, 230764, 4151, 6, 159696, 21295, 125523, 57689, 25093, 31467, 17171, 31467, 39484, 31467, 12483, 6, 148222, 17645, 22426, 40096, 186046, 3131, 57277, 92605, 77188, 6, 4, 137765, 874, 54260, 1211, 6235, 20616, 2442, 18415, 41764, 33809, 148346, 105330, 33809, 2050, 1470, 33809, 2932, 54260, 17645, 17645, 41764, 2932, 88945, 26612, 119055, 12483, 6255, 119055, 13845, 1470, 54260, 4667, 129165, 8903, 1211, 6, 4, 9213, 46244, 6655, 6, 148346, 103738, 54260, 13497, 15750, 22426, 33809, 21295, 124724, 364, 54260, 7972, 8903, 6235, 148346, 15907, 10339, 33809, 1211, 137, 17410, 3947, 155905, 4, 705, 119055, 29060, 9213, 46244, 132, 22426, 13456, 33809, 6293, 44917, 54561, 1211, 16175, 9221, 2451, 1381, 292, 62808, 6235, 119718, 21292, 6, 35596, 59919, 12483, 152, 58826, 20033, 39484, 31467, 12483, 6, 89184, 160022, 6, 4, 119055, 13845, 4838, 710, 22426, 4838, 54260, 22426, 238144, 16932, 129165, 8903, 1211, 152, 9213, 46244, 6, 238144, 16803, 6235, 119718, 21292, 24857, 6255, 6, 148346, 8580, 4231, 6, 54260, 4113, 54260, 4113, 26612, 95766, 1470, 54260, 6093, 191069, 6, 4, 6255, 6, 148346, 8580, 4838, 49920, 6235, 4484, 33809, 51723, 6, 159696, 8903, 1211, 4838, 1054, 26612, 33809, 22426, 2882, 161459, 13845, 710, 127710, 16667, 64751, 8903, 3069, 31467, 10676, 14779, 4944, 8903, 28726, 46244, 96986, 13278, 80264, 5332, 4269, 54260, 43178, 54260, 5666, 29659, 26632, 39484, 31467, 6255, 74806, 2865, 87442, 163139, 2808, 34654, 22426, 10339, 33809, 1211, 14856, 110970, 12483, 162726, 54260, 3131, 5332, 168892, 39484, 31467, 6235, 22680, 4113, 98833, 6, 148222, 1470, 33809, 2442, 74004, 107581, 4151, 10339, 33809, 1211, 6655, 42572, 33809, 2442, 3373, 75230, 1211, 6, 148346, 4113, 21847, 54260, 109636, 26612, 6093, 8300, 54260, 21295, 24857, 6, 148346, 54260, 2808, 1470, 54260, 4667, 2205, 191069, 220224, 49008, 6235, 26612, 2932, 2932, 22426, 6, 17645, 137218, 710, 12483, 4852, 54260, 6093, 84087, 1470, 33809, 110970, 33809, 1644, 196332, 874, 43178, 36326, 6, 5, 2451, 18133, 4667, 32887, 51723, 705, 292, 39484, 31467, 6255, 7265, 97995, 75230, 2702, 119055, 26612, 33809, 142170, 26612, 8903, 22680, 4113, 98833, 292, 1285, 23269, 12483, 7508, 75230, 148346, 6093, 6, 148346, 4113, 22426, 14081, 12483, 6, 148222, 43649, 40096, 4838, 2451, 3523, 54260, 1211, 711, 292, 6655, 874, 54260, 1211, 6, 148346, 4113, 21847, 75230, 16932, 6235, 35596, 17645, 15907, 6, 48904, 15907, 7508, 75230, 148346, 6093, 39484, 31467, 12483, 24857, 6235, 207682, 6, 4, 51328, 6, 148222, 43649, 40096, 6, 54260, 8903, 109636, 148222, 15857, 2882, 1285, 123073, 4838, 54260, 5666, 65482, 3373, 141943, 151614, 148346, 12483, 41764, 15350, 14856, 110970, 12483, 148346, 1644, 33809, 2882, 6681, 22492, 2702, 12483, 6, 5, 2451, 6255, 34076, 75230, 148346, 24857, 42493, 5, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 39484, 31467, 123736, 71577, 7265, 6, 137218, 23847, 13159, 18415, 1470, 75230, 22680, 43178, 33809, 5666, 5666, 74806, 12415, 12483, 292, 163139, 2808, 6, 112452, 3523, 40096, 4231, 43178, 7972, 22426, 4852, 54260, 1211, 705, 7508, 33809, 506, 93975, 80839, 24621, 6, 148346, 9221, 61397, 47567, 12483, 119055, 6093, 12483, 162726, 33809, 34709, 33809, 23405, 4231, 12483, 17645, 26612, 15435, 46646, 3056, 6235, 2932, 28320, 6, 148222, 3523, 26632, 33809, 2442, 6, 4, 32054, 33809, 24621, 6, 148346, 9221, 61397, 6, 4, 119055, 40096, 1751, 33809, 109636, 1211, 2205, 26612, 6235, 148346, 29060, 364, 75230, 4852, 49920, 12483, 4838, 6, 80453, 54260, 2648, 161459, 6, 4, 1470, 33809, 5666, 6, 148346, 29060, 12483, 6, 172060, 54260, 4231, 40096, 6, 12483, 4852, 14081, 220224, 2808, 23050, 148346, 12483, 17190, 148346, 12483, 1470, 33809, 5666, 6235, 4852, 33809, 16747, 6, 4, 3523, 33809, 18415, 192544, 4113, 26612, 4838, 33809, 5666, 41764, 2882, 5666, 22426, 710, 5332, 165592, 13845, 107581, 5332, 46244, 12483, 6, 148346, 9221, 61397, 47567, 12483, 4838, 54260, 110970, 62808, 12483, 9934, 159696, 23269, 4838, 4113, 93238, 4838, 8580, 24621, 110970, 149010, 6, 148346, 1644, 33809, 2882, 705, 3069, 31467, 2808, 874, 54260, 119132, 6, 148346, 16870, 75230, 6093, 12483, 4838, 33809, 5666, 33960, 905, 54260, 12483, 119718, 2808, 33809, 83182, 5332, 54260, 2702, 6255, 137765, 95455, 6, 148222, 46711, 75230, 4113, 75230, 8903, 6, 119859, 905, 54260, 71577, 4113, 4113, 2808, 148346, 4113, 6655, 41764, 46646, 54196, 6, 4, 1470, 33809, 5666, 6, 148222, 70695, 23741, 42572, 33809, 1211, 10676, 4231, 119859, 6, 54260, 4113, 6, 137218, 132, 148346, 13456, 33809, 2050, 44917, 54561, 16, 6, 137218, 75230, 26612, 2451, 1702, 292, 137218, 6, 54260, 14004, 2882, 5332, 119055, 12483, 7369, 23050, 3149, 63532, 4838, 14856, 110970, 12483, 2205, 6, 54260, 23269, 185182, 137218, 54260, 8580, 1054, 5332, 84577, 7369, 1470, 30682, 1470, 33809, 23405, 105330, 32792, 7369, 6681, 148346, 1644, 141943, 29060, 1470, 30682, 6, 148222, 26612, 75230, 49008, 5332, 112216, 13456, 96256, 22426, 2882, 1470, 30682, 1285, 23269, 1470, 75230, 6093, 8580, 6, 4, 6681, 46677, 16803, 220224, 1211, 9174, 10705, 7611, 54260, 2882, 6, 109636, 15231, 5332, 7369, 6, 170098, 2882, 1470, 30682, 42493, 55242, 42023, 6, 148222, 6, 148346, 1644, 33809, 2882, 119055, 46646, 6, 89184, 40096, 186046, 76776, 710, 12483, 5332, 7369, 6, 212484, 2882, 1470, 30682, 42493, 49920, 12483, 1285, 26612, 167048, 175722, 7508, 54260, 94741, 33809, 1211, 6, 54260, 26612, 6, 71577, 17645, 41764, 5666, 54260, 2648, 161459, 6, 4, 7369, 6, 170098, 2882, 1470, 30682, 42493, 6681, 29659, 54260, 1211, 75230, 26612, 6, 119859, 905, 33809, 2702, 6, 148346, 8580, 6681, 148346, 25207, 4667, 3056, 6235, 8903, 1211, 3523, 26632, 1470, 33809, 5666, 6235, 8903, 1211, 6, 148222, 33809, 43178, 3131, 54260, 26612, 710, 75230, 2882, 5332, 4151, 6, 63719, 9174, 25207, 5332, 46646, 6655, 1470, 30682, 6, 23173, 54260, 5666, 8903, 29659, 33809, 22426, 57277, 8580, 4838, 4838, 33809, 710, 22426, 33809, 8903, 1211, 6, 99766, 43649, 33809, 22426, 2882, 7369, 1470, 30682, 1751, 54260, 16932, 1470, 33809, 5666, 6, 238144, 16932, 33809, 710, 6, 12483, 657, 165592, 2882, 1470, 30682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41764, 33809, 1211, 6, 94741, 33716, 42493, 6, 23173, 75230, 131002, 710, 4944, 12483, 7369, 6, 170098, 34079, 54260, 2882, 42493, 15750, 22426, 6, 23173, 33809, 11556, 76526, 12483, 6, 4, 6, 148222, 7508, 54260, 2648, 220771, 6255, 1470, 54260, 4667, 75903, 8903, 1211, 101328, 4838, 54260, 12483, 15750, 59929, 9213, 46244, 163139, 21295, 6, 148222, 9213, 148346, 6093, 6235, 148346, 7972, 148346, 65482, 47658, 13381, 5666, 148346, 2932, 51723, 1211, 4, 54260, 26612, 6, 137218, 17645, 22426, 35596, 42493, 36324, 39384, 2808, 39484, 31467, 12483, 1751, 75230, 1211, 6235, 3111, 31467, 5666, 6, 147185, 4113, 76776, 710, 5332, 123736, 710, 22426, 95094, 4231, 119718, 2442, 220224, 123073, 151614, 148346, 12483, 220224, 2808, 6681, 2648, 41595, 10339, 33809, 1211, 40096, 112216, 1211, 4838, 54260, 4113, 25603, 22753, 16747, 106, 123736, 148346, 6093, 42493, 9213, 46244, 6428, 23173, 23741, 21422, 1211, 1285, 76526, 33809, 710, 33809, 26612, 10339, 33809, 1211, 3523, 64260, 3069, 31467, 1211, 6, 130734, 8903, 1211, 22753, 107829, 8903, 14856, 110970, 12483, 6, 4, 4269, 26632, 6655, 26612, 33809, 26612, 620, 33809, 710, 33809, 2882, 4838, 42023, 4838, 54260, 4667, 3069, 31467, 2808, 6, 148346, 79238, 99176, 109636, 1211, 14856, 110970, 12483, 6681, 4113, 25603, 39384, 76776, 5332, 4838, 75230, 6293, 6, 63188, 6, 159696, 21295, 9934, 75230, 8903, 1211, 32899, 25491, 1211, 6235, 3111, 31467, 2932, 17741, 850, 54260, 710, 4838, 41764, 15350, 4269, 33809, 22426, 2882, 71512, 620, 26612, 183216, 6, 4, 9213, 46244, 6, 141353, 23741, 163139, 2702, 12483, 119055, 12483, 54260, 4113, 26612, 39384, 15231, 48904, 4484, 22426, 4838, 14856, 110970, 12483, 1211, 6655, 6, 17645, 119132, 6235, 4484, 33809, 16803, 4151, 41764, 95564, 6, 4, 710, 6, 17645, 26612, 4231, 40096, 4231, 26632, 1470, 30682, 7369, 23822, 33809, 20260, 12483, 119055, 29060, 1470, 75230, 4667, 7369, 23822, 33809, 20260, 12483, 26612, 12483, 5332, 15622, 54260, 710, 42493, 4838, 33809, 710, 6, 141353, 17748, 2882, 220224, 1211, 4151, 620, 21292, 6, 17645, 119132, 3069, 31467, 76526, 15231, 71577, 12483, 39384, 2451, 4113, 54260, 3131, 33809, 6293, 44917, 54561, 1211, 17645, 56169, 2451, 496, 292, 17645, 56169, 49027, 12483, 20033, 7508, 54260, 20315, 1211, 10339, 33809, 1211, 49481, 4838, 54260, 1211, 4231, 65482, 26612, 4113, 57277, 119859, 23269, 2865, 32792, 152, 6, 148222, 364, 54260, 7972, 8903, 6235, 39293, 7611, 6235, 148346, 6093, 14779, 109636, 1211, 112216, 71577, 26612, 710, 12483, 4231, 33809, 26612, 8903, 148346, 2442, 75230, 4944, 12483, 110573, 13456, 33809, 6293, 6, 4, 57689, 2205, 220224, 1211, 6, 124470, 33809, 54260, 5332, 26612, 98833, 42493, 4838, 137218, 2808, 33809, 2442, 74004, 107581, 4151, 10339, 33809, 1211, 6681, 119055, 46646, 18225, 6, 174410, 4231, 119718, 1211, 41764, 13456, 33809, 22426, 3523, 54260, 8903, 148346, 2442, 75230, 4944, 12483, 6, 4, 6255, 123736, 148346, 6093, 49027, 1470, 54260, 4667, 44917, 220771, 12483, 6, 54260, 26612, 4838, 33809, 109636, 26612, 710, 43178, 54260, 1644, 110573, 13456, 47890, 2205, 657, 75230, 16932, 6, 148346, 29060, 2442, 33809, 5666, 6, 4, 10339, 21106, 3131, 5332, 6, 54260, 26612, 1054, 4231, 47351, 22426, 137218, 54260, 8903, 4852, 33809, 16747, 18415, 14856, 110970, 12483, 41764, 2808, 112956, 2648, 2205, 4838, 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 ]
[ 119718, 33809, 109636, 1211, 4838, 26612, 26612, 26612, 58826, 26612, 6, 47351, 7201, 33809, 1644, 7265, 6, 186461, 12483, 6, 4, 6, 141353, 33809, 2050, 151614, 148346, 12483, 6, 148222, 23050, 26612, 12483, 6235, 109636, 26612, 5332, 4113, 137218, 54260, 148222, 34076, 75230, 148346, 161459, 42493, 1470, 17645, 8903, 119718, 2808, 119718, 49008, 2205, 6, 148346, 4113, 22426, 54260, 26612, 4838, 8580, 112216, 54260, 710, 75230, 1211, 2808, 33809, 5666, 2205, 51328, 4113, 38596, 75230, 2882, 4, 163139, 21295, 9213, 46244, 4838, 6, 126700, 22426, 93975, 1211, 6, 17645, 137218, 137218, 4231, 40096, 15622, 54260, 2442, 54260, 2648, 3056, 19302, 43590, 2442, 163139, 2808, 4151, 169532, 705, 60980, 1211, 4838, 710, 22426, 4838, 26612, 137218, 1751, 75230, 1211, 5332, 54260, 26612, 12483, 14004, 46244, 119055, 29060, 7746, 76961, 6, 148346, 21106, 2648, 4838, 710, 148346, 6093, 8300, 54260, 8903, 1211, 6, 137218, 26612, 41764, 54260, 33809, 1211, 6, 48904, 33809, 2442, 6, 148346, 29060, 2442, 33809, 5666, 4, 6, 64260, 364, 77188, 874, 54260, 1211, 7038, 22426, 1211, 6, 4, 4838, 33809, 26612, 26612, 4231, 29060, 6, 76776, 710, 6, 137218, 7682, 226976, 6, 80453, 33809, 148346, 9221, 12483, 6, 4, 119055, 29060, 9213, 46244, 73095, 46244, 2200, 41764, 54260, 33809, 22426, 42493, 33960, 33809, 710, 109636, 64260, 6, 148346, 54260, 2808, 1470, 33809, 54561, 2205, 6235, 148346, 29060, 364, 119718, 1211, 4838, 2884, 6, 17645, 148346, 710, 112216, 710, 47351, 4838, 3523, 172060, 6093, 6655, 23050, 148346, 2442, 115536, 4838, 6, 148346, 4113, 148346, 3131, 22426, 26, 109636, 6, 119859, 54561, 6, 17645, 26612, 6, 137218, 6, 137218, 26612, 710, 4838, 8580, 23173, 75230, 2702, 230764, 4151, 16804, 6, 74004, 162726, 5594, 2882, 6, 94741, 4838, 26612, 119718, 22426, 4838, 4231, 71577, 15622, 26612, 710, 4838, 4231, 68313, 19024, 109636, 1211, 6681, 17537, 6, 4, 15, 165592, 75230, 2808, 152036, 5332, 57277, 5332, 4838, 6, 76776, 26612, 4838, 710, 238144, 16803, 76961, 6, 120749, 18640, 36324, 6, 148346, 54260, 5, 2808, 1470, 33809, 54561, 2205, 23050, 109636, 2882, 4838, 905, 26612, 4838, 8580, 6, 54260, 15350, 75230, 1211, 155787, 12483, 42493, 32899, 25491, 1211, 5950, 6, 53414, 4838, 119718, 33809, 22426, 71804, 26612, 12483, 6, 54260, 26612, 4838, 26612, 137218, 5332, 21106, 4113, 119055, 109316, 1211, 6, 148346, 1644, 54260, 148346, 12483, 68891, 3523, 33809, 2442, 6, 29060, 28726, 148346, 4113, 4838, 4113, 22426, 109636, 1211, 5332, 26612, 710, 12483, 4838, 18640, 8580, 230764, 4151, 64890, 2702, 55242, 506, 12483, 6, 4, 2181, 2205, 4838, 26612, 25222, 905, 22426, 6, 54260, 22426, 6, 54260, 26612, 4231, 159696, 2882, 6, 148346, 1644, 54260, 148346, 12483, 43649, 54260, 1211, 230764, 10676, 6, 94741, 4667, 41764, 33809, 1211, 4838, 33809, 22426, 26612, 4113, 26612, 6, 137218, 54260, 710, 4838, 710, 132, 148346, 13456, 33809, 4667, 44917, 54561, 16, 6, 137218, 710, 22426, 2882, 2451, 534, 292, 137218, 54260, 2882, 9213, 42023, 49481, 364, 23173, 12483, 4838, 6, 148346, 13159, 6093, 12483, 9424, 54260, 4944, 12483, 163139, 2808, 54745, 5, 5666, 54260, 710, 12483, 9213, 152, 63188, 83336, 85744, 6655, 23050, 74004, 98833, 3069, 31467, 2808, 6, 148222, 44917, 5666, 26394, 6, 149364, 74004, 17017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33809, 23405, 54260, 26612, 188485, 24857, 6, 148346, 14081, 2648, 6, 80453, 33809, 148346, 9221, 12483, 55242, 42023, 6, 4, 1470, 75230, 148346, 24857, 119055, 29060, 220224, 1211, 710, 33809, 13497, 33809, 5666, 36324, 75230, 2808, 6, 238144, 7369, 152036, 54745, 98833, 122165, 5332, 109316, 1211, 20033, 1470, 30682, 8903, 710, 12483, 710, 41764, 61722, 6, 5, 20315, 1211, 6, 176727, 2884, 6, 21106, 54260, 1211, 7265, 22753, 23269, 364, 65482, 364, 15907, 23050, 3111, 31467, 2702, 12483, 1285, 182759, 201542, 26612, 4838, 33809, 5666, 7369, 6655, 9213, 46244, 5332, 23173, 75230, 22426, 23269, 2882, 48775, 8903, 1211, 230764, 4151, 64890, 2702, 6, 4, 26612, 54260, 6, 54260, 26612, 5332, 68313, 6235, 22426, 1644, 75230, 49008, 1470, 33809, 2932, 3056, 6235, 148346, 7972, 148346, 12483, 43649, 54260, 1211, 230764, 10676, 4113, 26612, 26612, 10339, 33809, 1211, 6235, 148346, 29060, 364, 75230, 4852, 6, 4, 6319, 54260, 59461, 6655, 4113, 42493, 6235, 119718, 2808, 33809, 16803, 10676, 3373, 210326, 26612, 10339, 33809, 1211, 3523, 33809, 2442, 4151, 13278, 26892, 1470, 33809, 5666, 4151, 6, 148346, 13845, 16804, 39484, 31467, 12483, 6235, 119718, 2808, 33809, 2702, 57277, 26612, 6, 54260, 26612, 6, 119859, 54561, 6655, 6, 120749, 18640, 23050, 22426, 17537, 6, 238144, 1644, 4151, 6, 80453, 54260, 10069, 7511, 6093, 3056, 4113, 4113, 4113, 12483, 4838, 32054, 33809, 46685, 155787, 6, 5, 71512, 6, 80453, 54260, 152848, 711, 292, 6655, 4151, 6, 148346, 13845, 16804, 23050, 141943, 41595, 5666, 54260, 1211, 6, 1211, 26612, 15908, 4838, 36324, 6255, 151614, 148346, 1470, 54260, 4667, 9213, 148346, 6093, 9424, 54260, 98833, 24857, 874, 54260, 23269, 4113, 54260, 26612, 6, 54260, 49008, 364, 54260, 1644, 24295, 1470, 33809, 5666, 6, 120749, 18640, 6, 148346, 710, 18415, 6255, 1470, 54260, 4667, 9213, 46244, 47567, 2882, 54260, 25603, 710, 12483, 1470, 33809, 1211, 10676, 364, 54260, 186461, 12483, 6, 99766, 95455, 9213, 46244, 47567, 2882, 10339, 33809, 1211, 137765, 47351, 4231, 119718, 1211, 6, 54260, 20315, 1211, 42493, 6, 17645, 109636, 1211, 6, 4, 6, 170098, 2882, 220224, 2808, 17190, 148346, 12483, 6, 4, 39384, 2808, 1285, 49008, 1470, 75230, 4667, 5666, 54260, 13159, 6, 137218, 36326, 22426, 65482, 3131, 6, 4, 6, 170098, 2882, 6, 148222, 14779, 47526, 12483, 4, 41764, 159870, 710, 49008, 6, 4, 4113, 54260, 1644, 4838, 17190, 148346, 16870, 127684, 14856, 110970, 874, 33809, 4852, 8947, 12483, 4, 1751, 159696, 33716, 20033, 3069, 31467, 2808, 230764, 710, 29060, 15622, 13845, 4838, 710, 22426, 3523, 26632, 2882, 6, 148346, 29060, 12483, 6681, 1470, 54260, 4667, 9213, 46244, 47567, 2882, 34076, 7682, 32792, 5666, 54260, 1211, 4838, 905, 54260, 26612, 1470, 54260, 6093, 182990, 1211, 17190, 148346, 12483, 6, 5, 26612, 6, 16562, 24377, 6093, 12483, 106, 292, 39484, 31467, 12483, 76961, 191069, 6, 148346, 9221, 61397, 93975, 17645, 54260, 26612, 6235, 22426, 47351, 292, 6, 64260, 5950, 21422, 1211, 1470, 33809, 54561, 6093, 8009, 33809, 609, 36324, 20033, 1751, 159696, 25207, 1211, 54260, 13497, 54260, 4113, 6, 54260, 26612, 186046, 148346, 48340, 65482, 155787, 12483, 178748, 12483, 3523, 54260, 1211, 4838, 364, 54260, 2050, 5332, 75578, 29060, 119055, 29060, 220224, 2808, 14856, 46244, 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, 1470, 33809, 113889, 91595, 41764, 710, 1470, 33809, 54561, 46711, 73381, 12483, 6, 5, 161829, 33809, 2808, 44917, 54561, 16, 6, 148222, 22426, 6, 54260, 1054, 148222, 6, 148346, 9221, 61397, 364, 71577, 12483, 119055, 23173, 2882, 6235, 26612, 18640, 96986, 4838, 8580, 4231, 29060, 4231, 12483, 22426, 710, 49008, 96256, 24012, 49008, 1285, 26612, 4838, 88945, 1211, 6235, 240863, 12483, 4838, 364, 75230, 2882, 39384, 16870, 13159, 44917, 9221, 2205, 10676, 41764, 112711, 5332, 26632, 5332, 54260, 26612, 5332, 54260, 49008, 41764, 54260, 54260, 8903, 4113, 69596, 1211, 6, 4, 39484, 31467, 12483, 6, 5, 6, 54260, 2808, 3069, 31467, 18415, 6, 183718, 54260, 20260, 12483, 6235, 22426, 26632, 2882, 4838, 33809, 5666, 6, 137218, 710, 12483, 8903, 2882, 54260, 21295, 41764, 15350, 133749, 15307, 6, 4, 220224, 2808, 14779, 109636, 1211, 6, 17645, 119132, 16175, 40096, 23050, 710, 33809, 109636, 1211, 6, 17645, 31623, 238144, 16932, 5, 41764, 33809, 16847, 6, 4, 10676, 13278, 80264, 7265, 4231, 29060, 153850, 7213, 4838, 71577, 12483, 4113, 54260, 26612, 177274, 1211, 145813, 710, 6235, 101296, 40920, 2205, 1751, 33809, 54574, 7544, 145813, 54260, 5332, 6, 54260, 15350, 6, 54260, 710, 12483, 4852, 54260, 49008, 4838, 44917, 2932, 4484, 22426, 23173, 4113, 41764, 14081, 4484, 6, 4, 220224, 1211, 41764, 14004, 8903, 2702, 12483, 4231, 75230, 1211, 4231, 21106, 42493, 5332, 12483, 2808, 54260, 59461, 16175, 33809, 2882, 5332, 54260, 2808, 4838, 16175, 33809, 25559, 6, 5, 16870, 137218, 44917, 5666, 26394, 14856, 81829, 4838, 15533, 6235, 119718, 33809, 22426, 4838, 12483, 4838, 4838, 710, 4231, 29060, 5332, 26612, 710, 22426, 2882, 33809, 2882, 5332, 54260, 44917, 65442, 6, 170355, 8903, 1211, 4838, 142170, 17645, 4113, 4838, 47351, 15750, 2808, 4838, 137218, 6235, 22426, 54260, 49008, 42493, 4231, 33809, 1211, 26612, 171665, 13456, 33809, 6293, 1054, 54260, 15350, 220224, 2808, 34076, 75230, 148346, 12483, 42493, 4838, 8580, 110573, 13456, 33809, 22426, 1211, 6, 76776, 26612, 4838, 137218, 4838, 8580, 6, 17645, 26612, 905, 12483, 8903, 119718, 2808, 75230, 13497, 3069, 31467, 26612, 162726, 5594, 12483, 230764, 4231, 29060, 44917, 506, 16667, 96986, 4838, 71577, 6, 137218, 26612, 33809, 6, 17645, 101328, 148346, 3131, 6293, 37826, 5332, 26612, 5594, 2442, 6, 23173, 75230, 5666, 8903, 71804, 104149, 5332, 4838, 33809, 5666, 4231, 26632, 4838, 75230, 2882, 4838, 6, 137218, 710, 6, 137218, 97634, 12483, 4838, 54260, 8903, 2050, 6, 61397, 109636, 1211, 874, 110970, 22426, 6, 71577, 2882, 18225, 6, 84577, 6, 54260, 15907, 6, 54260, 5666, 54260, 4113, 26612, 29771, 17645, 22426, 32899, 4484, 33809, 2702, 29171, 5332, 12483, 5332, 12483, 4113, 148346, 13456, 33809, 7201, 6, 119859, 15388, 16, 710, 35189, 4231, 33809, 2648, 152185, 4231, 33809, 23405, 6093, 6, 133111, 148346, 15350, 35189, 10339, 33809, 5666, 26, 2050, 4231, 33809, 2648, 40697, 1211, 17190, 148346, 12483, 36909, 2884, 2932, 5, 17190, 119718, 59461, 5, 2451, 29789, 2451, 119718, 15350, 133011, 20441, 31381, 193, 51675, 21159, 18, 5, 841, 1434, 266, 568, 13, 10597, 5, 153, 5, 808, 5, 1193, 5, 32668, 86, 763, 27, 9430, 5, 165, 5, 104, 5, 104, 5, 808, 17697, 11, 5, 14004, 1982, 292, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19, 5, 16723, 420, 5, 748, 19, 5, 71, 104, 4618, 5, 6, 110777, 5, 7, 172060, 54260, 4113, 10, 306, 5, 17, 4342, 31, 6295, 568, 4216, 18, 5, 5, 418, 2451, 137, 48904, 33809, 16932, 123736, 159696, 16747, 6, 4, 364, 65482, 4667, 711, 6, 5, 6, 5, 6, 5, 2451, 6, 4, 48904, 33809, 16932, 6, 4, 20961, 1470, 54260, 4667, 7508, 26, 16888, 2808, 33809, 2442, 711, 22753, 56169, 4838, 238144, 28726, 7508, 26, 16888, 2808, 33809, 2442, 711, 63188, 15350, 6, 4, 4838, 148346, 54260, 177243, 4151, 6, 143409, 2882, 6, 4, 33960, 104238, 6, 20971, 2808, 33809, 5666, 364, 65482, 4667, 6655, 6, 23173, 75230, 2702, 6235, 3149, 2808, 22426, 2882, 10676, 6, 148346, 54260, 177243, 6, 4, 10339, 33809, 1211, 6, 148346, 6093, 1644, 10676, 14857, 13381, 364, 183512, 2819, 7265, 220224, 1211, 110573, 61722, 70845, 1470, 33809, 13497, 6093, 6235, 99176, 8903, 1211, 7508, 26, 16888, 2808, 33809, 61621, 6, 4, 148346, 4113, 134727, 18640, 4231, 137, 30473, 56169, 4838, 238144, 28726, 7508, 26, 16888, 2808, 33809, 2442, 6, 20971, 2451, 137, 10069, 123736, 159696, 16747, 12483, 220224, 49008, 10339, 171127, 123073, 6, 4, 6, 148222, 6, 148346, 17410, 18415, 3056, 4231, 220224, 6093, 23405, 119718, 15907, 5332, 6255, 6, 181692, 4484, 2819, 18225, 874, 33809, 4852, 4838, 506, 54260, 2050, 4269, 54260, 1211, 152, 6, 71577, 20961, 119055, 20961, 16932, 6, 4, 163139, 1644, 6255, 26612, 33809, 33809, 4667, 220771, 12483, 6, 4, 28415, 141107, 42493, 6, 5, 37271, 2451, 5332, 74004, 98833, 7508, 26, 16888, 2808, 33809, 2442, 6, 4, 1470, 98833, 711, 6235, 119718, 21292, 119055, 29060, 9213, 46244, 220771, 12483, 6, 48904, 33809, 18415, 4113, 14004, 6, 137218, 6, 123145, 148346, 5332, 26612, 2932, 33809, 18415, 155, 163139, 2702, 6255, 42493, 152, 51328, 137, 26612, 2932, 54260, 15231, 8903, 155, 6235, 119718, 21292, 711, 23405, 13845, 2882, 1054, 6, 5, 4231, 182731, 163139, 1644, 6255, 364, 65482, 4667, 711, 26612, 5332, 29771, 18630, 7508, 26, 16888, 2808, 33809, 2442, 6, 4, 1470, 54260, 4667, 6319, 33809, 63532, 6681, 10676, 68324, 196332, 1211, 6, 186145, 57277, 33809, 16747, 35596, 9424, 119718, 710, 109985, 7508, 33809, 148346, 1644, 711, 26612, 6, 48904, 15907, 6681, 205814, 364, 65482, 4667, 6, 4, 8947, 3056, 1751, 75230, 1211, 4838, 40920, 169532, 6, 4, 1470, 75230, 55823, 1211, 76776, 119718, 33809, 710, 96986, 106, 21338, 29060, 155, 9934, 1470, 33809, 54561, 6093, 1470, 33809, 2702, 17410, 119718, 17645, 3056, 33960, 74004, 98833, 292, 6, 148346, 23982, 3131, 6, 4, 137, 64044, 4113, 26612, 905, 33809, 2882, 4838, 710, 10339, 33809, 1211, 7508, 54260, 4667, 6319, 33809, 63532, 30183, 7508, 33809, 148346, 1644, 711, 711, 6, 5, 6, 5, 26612, 5332, 64567, 710, 6, 120749, 24295, 6, 4, 51328, 155, 10676, 123736, 18630, 7508, 26, 16888, 2808, 33809, 2442, 6, 238144, 16803, 9213, 46244, 76776, 905, 33809, 22426, 5332, 6, 137218, 710, 1285, 6, 26394, 42023, 66605, 6, 4, 119055, 46646, 6255, 14779, 47526, 2205, 1470, 54260, 6093, 19302, 54260, 2882, 6, 4, 39484, 31467, 4113, 26612, 33809, 710, 41764, 2865, 33809, 2648, 6235, 36723, 21295, 6681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 75230, 2702, 711, 26, 51328, 10676, 58826, 46244, 6, 5, 6, 5, 6, 5, 10676, 6, 5, 6, 5, 6, 5, 66605, 711, 5, 5, 76776, 26612, 41731, 97483, 26612, 42493, 220771, 12483, 6, 4, 31249, 91595, 6, 20971, 51328, 137, 7511, 2882, 4269, 33809, 2882, 6, 5, 6, 5, 6, 5, 26, 3056, 220224, 6093, 137, 7511, 2882, 132, 26217, 16932, 32054, 54260, 16747, 16, 221067, 37271, 2932, 33809, 2882, 6, 20971, 7508, 26, 16888, 2808, 33809, 2442, 6255, 6, 148346, 29060, 1470, 54260, 4667, 6, 4, 49481, 4838, 148346, 21292, 109316, 119055, 26612, 905, 96986, 4838, 4838, 5332, 2451, 6255, 874, 33809, 4852, 6, 68558, 4838, 124470, 9221, 33809, 7611, 6, 4, 39484, 31467, 12483, 182731, 711, 6, 5, 6, 5, 6, 5, 26612, 2451, 137, 2808, 33809, 5666, 18225, 874, 33809, 4852, 6, 5, 6, 5, 6, 5, 18225, 874, 33809, 4852, 6, 5, 6, 5, 6, 5, 6, 68558, 4838, 124470, 9183, 33809, 4113, 6235, 22426, 8580, 4838, 6, 76776, 26612, 37271, 7201, 33809, 1211, 25933, 8903, 1211, 705, 163139, 2808, 36324, 75230, 705, 1470, 33809, 5666, 3523, 26632, 6, 238144, 16803, 10676, 123736, 23822, 106, 1054, 4838, 6, 76776, 2451, 52, 506, 65482, 4667, 711, 6255, 874, 33809, 4852, 1470, 54260, 4667, 6, 4, 6319, 33809, 2442, 26394, 119055, 20961, 18415, 26612, 5332, 26612, 8903, 1211, 4838, 4231, 6, 137218, 2932, 37271, 8300, 54260, 2882, 74, 182731, 711, 84475, 19302, 54260, 148346, 2882, 7746, 10339, 33809, 1211, 19302, 54260, 2882, 6, 4, 1470, 33809, 5666, 6, 4, 137, 26612, 2932, 33809, 18415, 3523, 71577, 2882, 4838, 4838, 4113, 26612, 165592, 64567, 186797, 1285, 141879, 9424, 238144, 119055, 20961, 16932, 6, 4, 6655, 8248, 31467, 22426, 6, 17645, 1751, 76776, 26612, 26612, 26612, 5332, 26612, 148346, 21292, 109316, 6681, 6, 148346, 75230, 8903, 1211, 6, 4, 24012, 8903, 148346, 8580, 29434, 54260, 81414, 2882, 6, 4, 4838, 506, 41595, 6093, 8248, 31467, 22426, 5332, 119055, 905, 26612, 6, 172060, 54260, 5, 58032, 144862, 506, 56976, 5, 33960, 119718, 20961, 156325, 1470, 54260, 1211, 1470, 54260, 5666, 230764, 364, 65482, 4944, 12483, 6, 4, 1470, 33809, 5666, 4838, 119718, 1211, 76961, 7508, 54260, 710, 159696, 13497, 44779, 3373, 42695, 506, 6, 4, 7746, 9213, 2702, 6235, 13982, 54260, 2882, 7265, 10676, 41764, 12130, 3069, 31467, 22426, 78104, 26612, 26612, 5332, 4838, 33809, 22492, 15533, 4838, 159696, 4484, 6235, 185337, 12483, 6, 5, 119718, 23829, 8947, 6, 238144, 4852, 2882, 1470, 75230, 2702, 6, 4, 6655, 364, 65482, 4667, 6, 4, 7508, 26, 16888, 2808, 33809, 33716, 141879, 15622, 26612, 54260, 119718, 20961, 16932, 6, 4, 42493, 6235, 20616, 77188, 2819, 6, 159696, 12483, 58826, 705, 163139, 2808, 1054, 158291, 7369, 42493, 3523, 33809, 35596, 109636, 98833, 4838, 37271, 26612, 2932, 33809, 16932, 66605, 1470, 54260, 4667, 7508, 26, 16888, 2808, 33809, 2442, 52, 3523, 54260, 1211, 6, 4, 364, 65482, 4667, 37826, 42493, 6, 42021, 4113, 15907, 6, 137218, 46590, 33809, 3056, 20616, 1211, 1470, 75230, 4667, 42493, 6, 4, 42493, 7508, 26, 16888, 2808, 33809, 32206, 137, 58032, 15908, 20835, 22426, 710, 42493, 7508, 54260, 1211, 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 ]
[ 20260, 33809, 38249, 2808, 33809, 5666, 42493, 220224, 1211, 4838, 159696, 4484, 3523, 54260, 1211, 6, 5, 7201, 33809, 1211, 7508, 26, 16888, 2808, 33809, 32206, 137, 4484, 33809, 2442, 26394, 119055, 20961, 16932, 155, 3056, 6, 148346, 54260, 2808, 364, 65482, 22426, 8580, 6319, 54260, 93975, 119718, 20961, 12483, 220224, 1211, 6, 64260, 506, 33809, 2050, 2819, 10339, 33809, 1211, 1285, 137, 4484, 33809, 2442, 26394, 119055, 20961, 16932, 155, 364, 15907, 364, 65482, 42421, 4231, 208048, 93975, 21733, 33809, 183216, 2205, 6, 148222, 1470, 75230, 6093, 8580, 6, 4, 1470, 33809, 5666, 49481, 657, 54260, 23405, 6093, 74806, 119718, 710, 152848, 21295, 4838, 8580, 15622, 26612, 2808, 75230, 8903, 1211, 2819, 364, 65482, 4667, 3056, 6235, 148346, 7972, 148346, 12483, 22753, 26394, 1211, 4838, 8300, 33809, 123103, 16932, 5332, 4838, 26612, 33809, 2882, 33809, 109636, 1644, 18415, 26612, 4838, 6093, 6655, 6235, 46590, 2882, 10676, 6, 105439, 10339, 33809, 1211, 64915, 32572, 6, 4, 10676, 6, 105439, 10339, 33809, 1211, 16175, 75230, 26612, 5332, 5332, 5332, 26612, 29766, 4113, 46685, 364, 65482, 4667, 711, 6, 5, 6, 5, 6, 5, 506, 65482, 4667, 3056, 4838, 24621, 110970, 6, 4, 4838, 710, 20961, 4828, 6, 4, 42493, 6, 101608, 2819, 6, 48904, 15435, 119718, 8903, 26612, 4838, 112216, 905, 54260, 22426, 1644, 54260, 10918, 61397, 6, 4, 7265, 4838, 506, 75230, 4944, 12483, 4838, 148346, 2442, 54260, 96986, 1751, 16932, 12483, 6, 4, 16175, 33809, 2882, 6, 76776, 119718, 76776, 6, 119859, 905, 33809, 22426, 15435, 33809, 177243, 3373, 123073, 1470, 75230, 8903, 1211, 2819, 7265, 4838, 22680, 54260, 192956, 1211, 7508, 33809, 107829, 1211, 41764, 3111, 31467, 2050, 5332, 119055, 13845, 109636, 26612, 4838, 710, 148346, 69859, 87442, 6, 5, 7265, 6, 23173, 33809, 96743, 159696, 6, 148346, 2442, 54260, 18415, 6, 4, 51328, 42493, 657, 48904, 8903, 6, 148346, 26612, 54260, 5332, 4113, 4838, 33809, 22426, 93975, 9719, 29659, 7265, 4838, 105780, 23741, 4113, 16175, 54260, 76866, 4269, 18866, 192956, 364, 23173, 4231, 3523, 75230, 2882, 6, 109316, 76776, 25222, 33809, 18640, 7682, 1644, 54260, 20315, 2882, 6, 4, 220224, 6093, 21422, 40920, 18640, 1470, 33809, 5666, 7508, 54260, 1211, 2819, 3069, 31467, 76961, 2702, 10676, 5332, 4838, 137218, 6, 12483, 4838, 54260, 7201, 33809, 1211, 4838, 96743, 4667, 43057, 850, 181524, 2819, 7369, 3056, 42493, 6319, 54260, 1211, 41764, 119312, 5332, 120202, 29789, 5332, 75230, 4113, 26612, 5332, 54260, 710, 2591, 15, 2932, 33809, 16932, 32054, 54260, 16747, 16, 4838, 33809, 1211, 11, 49532, 33809, 1211, 6, 92605, 69708, 1211, 4231, 42493, 6319, 54260, 1211, 123736, 148346, 6093, 34076, 75230, 148346, 6093, 6, 4, 1470, 75230, 4667, 42493, 6319, 54260, 1211, 32054, 54260, 506, 6093, 2819, 364, 65482, 4667, 506, 15907, 4838, 148346, 58032, 33809, 6293, 41764, 20961, 4838, 14004, 122623, 4838, 74897, 1211, 2819, 1470, 54260, 59461, 10339, 33809, 1211, 1285, 6, 69181, 119718, 40697, 4231, 33809, 5666, 8903, 657, 54260, 2882, 4, 119718, 26632, 39484, 31467, 8580, 7746, 120202, 23269, 200651, 61397, 2882, 4838, 96743, 4667, 66605, 12483, 4, 230764, 1285, 364, 23173, 18415, 46711, 33809, 4484, 65482, 148346, 54260, 20260, 5332, 2205, 6, 148222, 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 ]
[ 69181, 159696, 36326, 4112, 47912, 2819, 1470, 33809, 5666, 220224, 1211, 182261, 93975, 43649, 69859, 2882, 292, 15350, 33809, 22426, 119718, 39340, 6, 4, 7508, 33809, 55823, 1211, 70845, 76961, 7508, 26, 364, 65482, 4667, 4151, 6, 148346, 13845, 13278, 13720, 6, 4, 6, 238144, 1644, 7369, 152036, 3131, 22426, 710, 5332, 17953, 19767, 6, 4, 6681, 10676, 71107, 6, 4, 6, 68438, 6, 17645, 114778, 6, 4, 874, 125810, 6, 4, 6, 183512, 124470, 2808, 6, 4, 1470, 33809, 5666, 159696, 1211, 7508, 26, 364, 65482, 4667, 4, 4151, 6, 148346, 13845, 13278, 13720, 152036, 6, 4, 6, 105235, 21295, 1470, 75230, 2702, 4151, 111215, 6, 4, 3523, 54595, 7265, 1470, 75230, 6093, 8580, 6, 4, 18225, 620, 23174, 2882, 1285, 119055, 6093, 16932, 2819, 6, 238144, 1644, 10339, 33809, 1211, 7508, 26, 506, 65482, 16667, 163139, 1644, 7213, 96986, 7746, 6, 149364, 1644, 2819, 220224, 1211, 6428, 148346, 33809, 2442, 220224, 1211, 6, 106672, 6, 4, 7265, 220224, 1211, 506, 23173, 147455, 12483, 220771, 12483, 6, 4, 21422, 2882, 3069, 31467, 148932, 100810, 55202, 6, 5, 6, 5, 144754, 4838, 710, 20961, 9424, 119718, 2808, 112690, 5666, 3069, 31467, 2442, 7682, 3056, 364, 65482, 4667, 6, 68558, 6235, 4484, 33809, 51723, 4838, 506, 6093, 26612, 8580, 6, 15350, 33809, 172060, 33809, 39340, 1470, 54260, 59461, 6, 21106, 54260, 1211, 2819, 7265, 220224, 23269, 41764, 20961, 364, 33809, 83182, 2882, 7508, 33809, 148346, 1644, 3523, 35465, 8903, 21295, 5332, 25933, 26612, 7369, 6655, 23050, 192061, 6, 4, 6655, 7369, 185000, 4838, 148346, 34882, 14081, 54260, 23269, 39340, 33809, 710, 21338, 4838, 4838, 33809, 5666, 364, 15907, 4838, 45629, 148346, 6235, 148346, 2442, 115536, 220224, 1211, 1054, 54260, 148346, 2819, 6235, 2648, 33809, 183216, 4838, 105946, 6, 4, 1470, 33809, 113889, 23405, 20616, 75230, 148346, 12483, 17190, 148346, 12483, 2819, 6, 148222, 6, 63188, 12483, 220224, 49008, 6235, 159696, 1211, 3523, 33809, 18415, 2819, 6, 240858, 448, 220224, 49008, 8903, 4113, 12483, 119055, 75230, 7511, 5666, 6, 4, 1470, 33809, 5666, 364, 65482, 4667, 7265, 6, 54260, 1211, 1054, 54260, 148346, 6, 4, 220224, 49008, 33960, 159696, 1211, 9213, 6, 148346, 13845, 710, 6, 148346, 124470, 448, 47351, 4112, 54260, 54260, 4838, 1285, 19302, 75230, 8903, 19302, 54260, 2882, 109316, 6655, 33960, 119718, 162785, 8580, 2819, 10339, 33809, 1211, 66605, 3069, 31467, 66605, 6, 4, 4113, 33809, 22426, 41764, 14004, 4231, 77188, 41764, 15750, 148346, 6681, 17824, 13159, 77188, 6, 4, 7265, 182731, 1470, 33809, 5666, 7265, 3373, 42695, 506, 2819, 710, 65482, 22426, 4231, 40096, 6, 48904, 8903, 3149, 54260, 148346, 12483, 6681, 12483, 2205, 1285, 137, 71811, 74, 6, 148346, 2442, 54260, 183216, 3373, 42695, 506, 6, 33225, 54260, 7682, 54260, 4231, 132025, 8903, 506, 75230, 148346, 12483, 6, 101470, 30109, 16870, 15907, 2819, 42493, 6, 238144, 1644, 7369, 6655, 24012, 141353, 23741, 6, 4, 4113, 26612, 26612, 6, 238144, 1644, 18225, 4231, 40096, 70845, 6, 68558, 24012, 119718, 20961, 55823, 1211, 2819, 33960, 8903, 148346, 8580, 1285, 6, 148346, 13159, 18415, 134973, 10069, 42180, 2702, 4, 71577, 33809, 6235, 109636, 4231, 65482, 22426, 6655, 6235, 3111, 31467, 51723, 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 ]
[ 148346, 506, 77000, 6, 4, 1470, 33809, 5666, 24012, 8903, 148346, 8580, 6, 148346, 506, 77000, 6, 5, 6, 5, 6, 5, 1470, 33809, 96951, 13845, 109636, 26612, 4231, 33809, 4113, 33809, 28726, 5332, 364, 15907, 10339, 54260, 13497, 4838, 506, 4484, 22426, 506, 705, 1470, 33809, 5666, 163139, 1644, 42493, 6, 101470, 6, 148346, 14236, 710, 65482, 26612, 42493, 4838, 5332, 12483, 657, 54260, 4852, 33809, 23405, 3056, 33960, 119718, 69596, 1211, 17824, 75230, 2702, 2819, 4151, 105884, 109316, 6655, 7746, 48904, 8903, 710, 75230, 109636, 1211, 4838, 26612, 75230, 12483, 3523, 33809, 4667, 1470, 33809, 5666, 3523, 33809, 2882, 2819, 6, 148346, 74813, 33809, 2050, 16175, 54260, 148346, 1644, 12483, 220224, 1211, 32054, 75230, 6, 4, 119055, 46646, 3056, 8903, 26612, 905, 26612, 26612, 8580, 5332, 76961, 6, 149364, 3069, 31467, 2808, 6235, 148346, 33809, 16747, 12483, 3069, 31467, 2050, 43649, 33809, 148346, 6, 4, 3069, 31467, 1285, 137, 22426, 31623, 44779, 155, 152, 710, 40096, 4231, 65482, 22426, 6235, 2648, 33809, 183216, 9424, 238144, 18906, 13381, 448, 6, 23173, 75230, 149311, 7265, 4838, 21733, 54260, 119132, 2819, 4151, 137218, 905, 33809, 109636, 26612, 6235, 22426, 2882, 9424, 238144, 364, 33809, 83182, 23822, 33809, 148346, 1644, 4838, 710, 20961, 4, 2808, 33809, 5666, 29434, 19302, 54260, 59461, 364, 33809, 83182, 2882, 2819, 10339, 33809, 1211, 26612, 710, 6319, 2932, 75230, 23269, 4838, 33809, 17310, 4113, 19302, 54260, 2882, 109316, 6, 4, 119055, 2808, 33809, 8947, 3056, 42493, 19024, 6, 4, 119055, 2808, 33809, 7746, 3069, 31467, 6235, 148346, 8580, 4113, 3111, 16932, 32054, 54260, 16747, 16, 1470, 75290, 7961, 305, 292, 92605, 6093, 6, 5, 6, 5, 6, 5, 3056, 7369, 6, 23173, 54260, 1211, 2205, 4838, 23847, 75230, 36419, 19302, 54260, 2882, 26, 4, 119055, 46646, 4838, 8580, 6, 238144, 6, 172060, 54260, 2882, 895, 122978, 6, 4, 1470, 33809, 5666, 3944, 40920, 18640, 711, 6, 5, 6, 5, 6, 5, 37271, 506, 65482, 211169, 3056, 4269, 33809, 2882, 711, 220224, 6093, 4269, 33809, 2882, 6, 20971, 220771, 12483, 76961, 6, 21106, 33809, 172060, 33809, 109636, 26612, 6, 12483, 192061, 4838, 96743, 4667, 3373, 42695, 506, 6, 4, 4838, 96743, 4667, 182731, 6, 4, 7265, 110573, 61722, 711, 13159, 220224, 49008, 9213, 148346, 6093, 6, 195054, 68561, 12483, 6, 26394, 42023, 66605, 6, 5, 6, 5, 6, 5, 148346, 54260, 2808, 364, 65482, 211169, 1470, 75230, 156325, 1751, 16932, 8580, 6, 4, 39484, 31467, 8580, 7746, 23050, 119718, 710, 104149, 5332, 22426, 1644, 33809, 109636, 15231, 55823, 64890, 69106, 86510, 4113, 115222, 31623, 12483, 6, 5, 6, 5, 1468, 304, 506, 65482, 4667, 6655, 4838, 25207, 115518, 33960, 8903, 148346, 12483, 220224, 1211, 6, 148346, 710, 4944, 109316, 6, 4, 220224, 1211, 6, 5, 21733, 54260, 2882, 6, 148346, 33809, 22426, 710, 5332, 4838, 6093, 6655, 132025, 8903, 506, 54260, 148346, 12483, 6, 148346, 29060, 5, 115536, 12483, 1285, 1157, 104238, 119055, 2808, 33809, 6, 109995, 182731, 4838, 8580, 3523, 33809, 26612, 105235, 20911, 2819, 119055, 2808, 33809, 220224, 1211, 6, 148346, 21292, 13845, 4838, 54260, 23269, 16667, 6, 4, 3056, 3069, 31467, 2808, 220224, 2882, 6, 4, 3069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31467, 145813, 5666, 75230, 2882, 4838, 4838, 33809, 54561, 54260, 23269, 6, 148346, 1644, 33809, 146887, 6, 4, 220224, 49008, 6681, 21374, 506, 21295, 6235, 148346, 7972, 148346, 8580, 6, 4, 2205, 220224, 23269, 123736, 20315, 26612, 8580, 5332, 37271, 29766, 4113, 24621, 9213, 122623, 6, 4, 123736, 25207, 24621, 6, 148346, 13845, 710, 41545, 14540, 6, 4, 4151, 3056, 74806, 57277, 26612, 54260, 1211, 39384, 114436, 6681, 6, 141353, 148346, 12483, 6, 4, 6, 93704, 12415, 16932, 6, 23173, 75230, 2702, 24012, 22426, 69596, 1211, 6, 4, 4838, 149364, 18415, 26612, 4838, 8580, 215031, 26612, 64044, 1157, 12415, 1211, 6, 20971, 6, 64260, 36324, 75230, 7544, 29659, 7369, 6, 4, 1470, 33809, 5666, 6319, 77188, 6, 4, 4838, 148346, 1644, 26632, 3523, 71577, 6, 71577, 1644, 40096, 5332, 171665, 92904, 74388, 850, 42493, 4269, 33809, 18415, 6, 4, 21934, 42493, 119055, 77188, 4838, 80453, 33809, 23093, 4231, 364, 65482, 22426, 3523, 71577, 2882, 22753, 22426, 64044, 220224, 1211, 60980, 22426, 7265, 6, 148346, 54260, 20315, 364, 104274, 2819, 7369, 6, 111684, 21295, 6, 4, 4151, 46985, 22426, 145813, 186955, 5332, 6, 12483, 148346, 2442, 91595, 6, 4, 4151, 874, 14088, 6319, 77188, 7746, 9213, 148346, 6093, 6, 5, 6, 5, 6, 5, 506, 65482, 4667, 21776, 4944, 35596, 6, 5, 6, 5, 6, 5, 10069, 6, 223390, 6093, 21422, 16932, 12483, 6, 4, 1285, 6, 148346, 54260, 16747, 44779, 10339, 33809, 1211, 10676, 1751, 178107, 26632, 21374, 71577, 8580, 4231, 95766, 1285, 1470, 75230, 8903, 1211, 3056, 70845, 6428, 33809, 20260, 15350, 2819, 220224, 220224, 49008, 163139, 2808, 7265, 6, 40096, 33809, 212915, 4231, 43178, 33809, 18640, 8580, 6, 63188, 55242, 506, 2882, 6, 4, 163139, 2808, 6428, 33809, 81455, 6, 40096, 33809, 4667, 83066, 21422, 59919, 2702, 6, 185245, 26, 1019, 7508, 33809, 148346, 1644, 5332, 1054, 4838, 29771, 710, 711, 4838, 40920, 16175, 75230, 4852, 35596, 6, 4, 55242, 13805, 6, 4, 3523, 54260, 109985, 3523, 54260, 12483, 1054, 33809, 22426, 1644, 4838, 6, 20616, 65482, 4667, 202745, 7746, 55202, 6, 4, 7369, 6319, 33809, 20911, 6, 4, 7369, 21374, 75230, 22426, 2882, 4838, 4838, 4838, 5332, 26612, 1054, 26612, 15350, 23269, 148346, 4113, 4667, 6, 4, 10339, 33809, 1211, 1285, 76961, 119055, 6093, 63593, 196332, 6, 23173, 148346, 13159, 6, 4, 1470, 75230, 2702, 105250, 75230, 148346, 12483, 5332, 6, 137218, 48253, 7508, 54260, 1211, 2808, 54260, 109985, 12483, 6, 4, 4838, 2932, 2808, 57619, 12483, 4838, 25207, 148346, 96986, 6, 5, 132, 26217, 16932, 32054, 54260, 16747, 16, 6235, 119718, 21106, 26612, 2451, 705, 6, 7961, 137, 8903, 47709, 50853, 74806, 12415, 12483, 711, 22518, 54260, 2882, 2205, 70845, 220224, 1211, 364, 23173, 7611, 2819, 220224, 1211, 6, 148346, 1644, 33809, 2882, 152, 4113, 76776, 14081, 2648, 3523, 59094, 12130, 711, 6, 5, 6, 5, 52, 137, 62808, 874, 62067, 18225, 6, 4, 20033, 7508, 54260, 16803, 18225, 6, 4, 20033, 3069, 31467, 22426, 2882, 51723, 6, 4, 10339, 33809, 1211, 76961, 6, 54260, 96986, 2819, 9174, 26632, 3131, 1157, 506, 8903, 711, 6, 5, 9174, 26632, 3131, 6, 49268, 13159, 7511, 1470, 33809, 5666, 33960, 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 ]
[ 711, 48775, 33809, 4667, 9915, 54260, 2648, 7746, 6, 4, 1285, 145813, 45631, 6, 223390, 6093, 6, 4, 6255, 6, 54260, 2702, 10339, 33809, 1211, 7746, 67826, 49597, 75290, 21066, 54260, 3131, 6, 4, 2808, 33809, 2932, 11265, 76961, 42493, 10339, 33809, 1211, 6, 99766, 711, 1468, 6, 5, 155, 5666, 23173, 10339, 33809, 1211, 1285, 6235, 14081, 122623, 6, 4, 3056, 364, 65482, 115518, 6, 4, 4838, 46590, 33809, 1470, 54260, 1211, 6, 80453, 33809, 23093, 42493, 6, 23173, 54260, 1211, 8903, 4484, 33809, 51723, 6, 4, 2205, 115222, 3131, 65482, 2819, 1470, 33809, 5666, 230764, 120202, 36723, 506, 79981, 206105, 137, 2808, 33809, 194734, 95064, 3131, 80453, 33809, 23405, 65482, 4, 9424, 14081, 33809, 183216, 2819, 6655, 364, 65482, 4667, 6235, 2865, 33809, 4852, 2882, 14779, 109636, 1211, 206105, 506, 33809, 83182, 2882, 7508, 33809, 148346, 1644, 6, 4, 6, 148346, 54260, 6, 155246, 21106, 10676, 41764, 45629, 8300, 35596, 29171, 6, 4, 6, 148346, 54260, 2808, 6, 17645, 21733, 10676, 6, 77820, 6, 4, 148346, 75230, 26612, 5332, 2808, 4667, 36324, 13845, 107581, 2819, 3523, 31623, 54260, 1644, 18415, 83066, 6, 4, 6, 105780, 6293, 41764, 45629, 8300, 35596, 4838, 3149, 33809, 2648, 3131, 6, 4, 36324, 905, 6, 33809, 75230, 2808, 10069, 6, 172060, 148346, 506, 4838, 178303, 506, 364, 54260, 16803, 2819, 1470, 33809, 5666, 163139, 2808, 4151, 110573, 25391, 6093, 6, 4, 7369, 149010, 2442, 6, 58082, 119859, 8580, 5332, 6, 148346, 75230, 26612, 6, 71577, 2808, 4667, 6, 4, 7508, 54260, 107581, 77775, 25093, 31467, 12130, 6, 5, 6, 5, 6, 5, 7511, 2882, 119055, 13845, 186797, 6, 4, 3056, 364, 65482, 4667, 6, 23173, 54260, 1211, 33960, 58679, 115518, 2205, 41764, 45629, 8300, 35596, 8903, 21295, 106, 220224, 23269, 30109, 16870, 710, 146887, 10339, 33809, 1211, 1470, 54260, 1211, 220224, 2882, 74, 620, 91595, 4113, 66605, 8580, 6, 4, 4838, 167305, 2442, 49481, 26612, 137218, 506, 26612, 10339, 33809, 1211, 4151, 9424, 238144, 16932, 220224, 2882, 2819, 874, 98071, 2882, 10676, 874, 151461, 196332, 1211, 9934, 192900, 14004, 6, 4, 2205, 21106, 4113, 4269, 33809, 36326, 22426, 2882, 33809, 1211, 2819, 7265, 1285, 3523, 54260, 4113, 134973, 4484, 33809, 189623, 42180, 6, 4, 119055, 46646, 1470, 54260, 59461, 6, 48904, 54260, 6093, 54260, 76776, 1751, 119718, 710, 16747, 33809, 1644, 170355, 42023, 6, 4, 6655, 23050, 2865, 115536, 6, 148346, 54260, 364, 65482, 211169, 6, 4, 1470, 33809, 13497, 6093, 8580, 3523, 54595, 1468, 6, 5, 144754, 1285, 4838, 75230, 2932, 65482, 17824, 75230, 36419, 12065, 36723, 76216, 2819, 6235, 148346, 8580, 6, 105780, 6293, 1470, 23174, 44779, 2205, 48011, 6, 4, 29434, 54260, 2865, 33809, 710, 109316, 22426, 2205, 19302, 46646, 2819, 4838, 105946, 6, 4, 4838, 21733, 54260, 2882, 6, 4, 41764, 45629, 8300, 35596, 6, 4, 18906, 13381, 448, 6, 4, 54260, 13497, 96986, 5332, 7265, 221895, 6, 149473, 2819, 151614, 148346, 12483, 132025, 8903, 506, 54260, 148346, 8580, 41764, 33809, 16803, 874, 34557, 12483, 6, 4, 26612, 75230, 2882, 9181, 54260, 93975, 1211, 6, 4, 364, 65482, 40377, 19302, 54260, 2882, 6, 5, 6, 5, 6, 5, 4838, 96743, 4667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 42695, 850, 119055, 46646, 18225, 9174, 26632, 22426, 26612, 26612, 6319, 33809, 710, 22426, 2882, 5332, 3056, 1285, 182731, 4838, 905, 37016, 230764, 6, 149473, 6, 4, 230764, 41764, 45629, 8300, 35596, 6, 5, 6, 5, 6, 5, 26612, 33809, 5666, 1285, 4838, 75230, 2882, 6, 195054, 54260, 158548, 18415, 41764, 33809, 80885, 41764, 69803, 26394, 2702, 1054, 6655, 18225, 6235, 2865, 33809, 4852, 2882, 10339, 33809, 7972, 26612, 710, 12483, 5332, 874, 33809, 2882, 657, 54260, 196332, 6, 116174, 29257, 20260, 13159, 6319, 77188, 44779, 6, 4, 6, 148346, 34882, 28726, 22426, 2882, 7265, 710, 22426, 26612, 26612, 137218, 26612, 112216, 22426, 9221, 1468, 6, 5, 7511, 2882, 119055, 21106, 141943, 54260, 2932, 6655, 23050, 148346, 4113, 4667, 137, 141847, 20616, 54260, 148346, 12483, 364, 65482, 4667, 6, 5, 51328, 12483, 6, 148222, 159696, 21295, 5332, 1470, 33809, 214766, 33809, 144581, 104238, 364, 65482, 4667, 2819, 506, 65482, 4667, 6655, 10676, 88771, 6, 4, 6, 148346, 54260, 2808, 22753, 22426, 6235, 119718, 2808, 33809, 16803, 2819, 36324, 7369, 3056, 163139, 2808, 26612, 26612, 33809, 71804, 6, 15907, 33809, 22426, 1211, 1054, 46646, 202446, 7746, 60980, 2050, 60980, 2050, 6, 4, 230764, 220224, 23269, 10339, 33809, 2702, 2819, 204982, 1470, 30682, 132, 26217, 16932, 32054, 54260, 16747, 16, 1470, 54260, 59461, 2451, 305, 292, 2808, 54260, 59461, 6, 4, 9174, 55687, 1054, 111398, 6, 4, 4838, 29659, 22426, 7265, 4838, 506, 104274, 2819, 6, 23173, 9221, 7265, 6, 71577, 109226, 6, 73381, 158291, 7369, 1470, 33809, 5666, 5, 43649, 23173, 148346, 2882, 6, 5, 6, 5, 6, 5, 2808, 33809, 5666, 6681, 10676, 137, 29659, 33809, 22426, 155, 711, 6681, 10676, 10114, 65606, 2442, 155, 711, 364, 15907, 22753, 22426, 364, 65482, 22426, 4852, 54260, 6093, 23050, 25391, 34882, 12483, 4231, 13278, 2050, 7369, 6655, 1470, 30682, 7369, 33353, 18415, 2882, 76961, 118522, 5332, 76961, 117397, 33809, 2882, 2819, 1470, 33809, 5666, 10339, 33809, 1211, 148932, 19302, 2808, 22426, 6, 4, 7265, 1285, 16175, 9221, 10339, 33809, 1211, 19302, 54260, 2882, 5332, 4838, 17645, 26612, 5332, 12483, 39293, 3149, 141943, 24295, 1470, 54260, 119132, 10339, 33809, 1211, 4231, 65482, 6, 4, 119055, 46646, 5332, 3056, 220224, 1751, 33809, 1644, 158548, 2819, 123736, 20315, 26612, 6, 17645, 165592, 20616, 141943, 24295, 6, 4, 1470, 54260, 1211, 166990, 6, 4, 1470, 54260, 1211, 1470, 33809, 5666, 148346, 37016, 62067, 12483, 2205, 4838, 26394, 28726, 152848, 26612, 364, 33809, 2882, 5332, 95766, 6, 148346, 2442, 159993, 2819, 10339, 147713, 2882, 220224, 1211, 6, 148346, 54260, 2808, 364, 65482, 4944, 12483, 6, 80453, 32184, 3523, 164367, 905, 5332, 6, 12483, 10339, 147713, 2882, 111684, 79981, 10676, 6, 105439, 10339, 33809, 1211, 16175, 75230, 2648, 711, 220224, 1211, 17190, 148346, 8580, 3056, 70845, 6235, 4113, 12483, 42493, 3523, 54260, 26612, 5332, 15907, 3944, 148346, 152, 6, 210674, 141943, 24295, 152, 137, 9719, 4231, 64071, 6, 4, 9213, 148346, 7369, 3056, 42493, 6, 71577, 13845, 5332, 137218, 5332, 5332, 5332, 26612, 31249, 5594, 10184, 874, 54260, 23269, 6, 202075, 16847, 6, 4, 119055, 46646, 151614, 148346, 12483, 70845, 9213, 148346, 6093, 3523, 71512, 148346, 12483, 16175, 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 ]
[ 23269, 159696, 13805, 4113, 44779, 1468, 6, 5, 7544, 68173, 6, 4, 1470, 75230, 148346, 10339, 33809, 1211, 10676, 6, 148346, 34882, 33809, 2050, 6255, 42493, 4838, 29659, 33809, 22426, 1054, 5332, 6, 29060, 37271, 23173, 5594, 2442, 153, 155, 1470, 33809, 5666, 1751, 174410, 148346, 711, 6, 5, 6, 5, 6, 5, 506, 65482, 4667, 2205, 1470, 75230, 2702, 15864, 110970, 711, 8300, 33809, 41764, 42270, 6, 4, 220224, 49008, 24012, 148346, 7972, 148346, 8580, 126230, 8903, 29434, 54260, 119055, 2808, 4944, 12483, 2819, 7369, 364, 15907, 4838, 75230, 2882, 8903, 25391, 710, 148346, 12483, 41764, 2702, 3149, 196332, 3373, 42695, 506, 6, 4, 230764, 6319, 7611, 7508, 33809, 148346, 1644, 6, 4, 7265, 6, 208048, 1644, 54260, 3131, 6, 5, 5332, 5332, 4231, 6, 12483, 192061, 6235, 2865, 54260, 13497, 6, 4, 24012, 25207, 1982, 41595, 6, 4, 24012, 210674, 6, 4, 6, 42021, 145702, 2819, 51328, 6428, 54260, 54260, 6, 148346, 21338, 448, 1054, 26612, 45521, 6293, 1470, 33809, 5666, 9424, 119718, 2808, 112690, 59461, 6655, 7369, 6, 4, 28415, 42493, 1470, 54260, 1211, 6, 80453, 33809, 23093, 4838, 1470, 33809, 2932, 119055, 26612, 33809, 3523, 33809, 101470, 3056, 42493, 19024, 6, 5, 1468, 37271, 168892, 6, 148346, 1644, 54260, 148346, 4269, 3373, 42695, 506, 6, 5, 6, 5, 6, 5, 874, 54260, 1211, 24377, 22492, 6, 4, 874, 54260, 1211, 134973, 4484, 33809, 710, 35596, 5, 3131, 119718, 710, 47526, 74004, 49209, 6, 4, 119055, 29060, 34654, 104149, 6, 4, 3069, 31467, 51328, 18415, 21295, 150839, 54260, 2882, 2819, 4838, 18167, 6, 21106, 18415, 26612, 37271, 202075, 2442, 6, 4, 119055, 13845, 43649, 54260, 1211, 1470, 33809, 5666, 6319, 33809, 165354, 6, 5, 6, 5, 6, 5, 163139, 2808, 17824, 75230, 2702, 3056, 4151, 4231, 30473, 33809, 1211, 5332, 4838, 75230, 26612, 29659, 23173, 4484, 3056, 4151, 6, 238144, 2882, 64567, 9934, 155, 16175, 2648, 115536, 364, 65482, 4667, 7265, 22753, 22426, 5332, 4838, 33809, 26612, 5332, 26612, 71512, 8903, 2648, 167622, 12483, 6, 148346, 2442, 171428, 220224, 1211, 60980, 22426, 6, 4, 163139, 2808, 10339, 54260, 6093, 152, 9424, 119718, 14081, 2442, 119055, 26632, 16175, 33809, 57277, 18225, 3523, 33809, 2865, 54260, 23269, 17824, 75230, 36419, 6, 147185, 6, 4, 36324, 51328, 182261, 6, 4, 9174, 26632, 7508, 26, 16888, 2808, 33809, 61621, 6, 68558, 74806, 22426, 710, 64260, 6, 54260, 21733, 54260, 2882, 182731, 711, 5, 6, 5, 6428, 33809, 81455, 70845, 3056, 20033, 6, 148346, 76526, 77188, 3523, 130734, 119055, 6093, 8580, 5332, 1054, 33809, 54260, 4838, 710, 22426, 87637, 109636, 1211, 1285, 874, 22426, 10125, 711, 6, 5, 1468, 155, 14004, 106, 6, 5, 6, 5, 6, 5, 6, 148346, 710, 16932, 711, 4269, 5, 4, 132, 2932, 33809, 16932, 6, 128750, 54260, 2648, 16, 72649, 6093, 26612, 54260, 710, 36419, 76776, 4113, 26612, 2451, 483, 292, 26612, 506, 20961, 26394, 91275, 54260, 2702, 192539, 22753, 7201, 7611, 6, 4, 364, 15907, 7746, 6, 23173, 75230, 2702, 23050, 148346, 45629, 4944, 12483, 10339, 33809, 1211, 506, 65482, 40377, 1470, 33809, 24621, 196332, 3069, 31467, 6, 148346, 45629, 107581, 8903, 68889, 6, 1211, 6, 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 ]
[ 6, 5, 6, 5, 35189, 220224, 61397, 3056, 33960, 159696, 1211, 895, 6293, 6, 148346, 54260, 4151, 112389, 2882, 2819, 6, 148346, 6093, 1644, 4151, 18906, 13381, 192061, 1751, 75230, 1211, 206105, 73256, 23050, 74004, 98833, 152, 1054, 46646, 22753, 26394, 1211, 20033, 705, 76961, 39484, 31467, 12483, 144754, 29434, 54260, 2808, 97816, 3069, 31467, 2442, 7682, 6, 4, 6681, 202745, 6, 148222, 19302, 54260, 146887, 6, 4, 1470, 33809, 5666, 20033, 6, 148346, 2442, 171428, 21106, 34557, 22426, 1470, 33809, 112304, 34533, 6, 4, 1470, 33809, 2865, 219947, 6, 5, 6, 5, 2451, 41764, 20961, 657, 79238, 6, 4, 6681, 15864, 4667, 1470, 33809, 5666, 6319, 33809, 2050, 711, 153, 155, 6655, 364, 65482, 4667, 3069, 31467, 2050, 26612, 25391, 710, 150764, 6, 5, 292, 22426, 115245, 22426, 2451, 5, 363, 2451, 137, 2648, 33809, 2808, 6, 148346, 34533, 18906, 33809, 8903, 4231, 31177, 9719, 14081, 39340, 711, 163139, 2808, 4838, 14004, 2648, 6255, 6, 148346, 8580, 54260, 3131, 33809, 23269, 106, 6, 5, 6, 5, 6, 5, 155, 137, 144754, 6, 9221, 105884, 16803, 6428, 33809, 6, 24846, 14779, 705, 119055, 46646, 16175, 75230, 8903, 1211, 124724, 6428, 54260, 23269, 4113, 26612, 17645, 36326, 6, 68558, 43649, 109316, 1211, 705, 6255, 364, 54260, 2702, 124724, 6, 4, 6255, 220771, 124724, 711, 6681, 110970, 22426, 23173, 16803, 46711, 34557, 96986, 2819, 9934, 112711, 6, 36723, 6, 5, 6, 5, 6, 5, 1470, 33809, 5666, 1470, 91740, 711, 6, 5, 6, 5, 6, 5, 26612, 7369, 26, 6, 23173, 105330, 711, 220771, 12483, 58826, 6, 4, 3056, 6319, 54260, 1211, 6319, 33809, 129891, 42493, 2819, 6255, 874, 33809, 4852, 7746, 34079, 22426, 9934, 54343, 4838, 54260, 1211, 6, 5, 6, 5, 6, 5, 6255, 163139, 1644, 55242, 42023, 153, 7508, 54260, 20315, 1211, 6, 71577, 20961, 119055, 20961, 16932, 2819, 153, 10339, 33809, 1211, 119718, 75230, 96986, 6, 76776, 33716, 18225, 657, 54260, 96986, 2819, 22753, 2808, 3056, 3523, 91595, 12483, 6235, 185337, 12483, 6681, 6, 148346, 54260, 874, 54260, 1211, 37016, 22426, 75230, 2882, 5332, 6681, 41764, 33809, 56169, 4, 6681, 15857, 156696, 98071, 33716, 6, 4, 6681, 14779, 183216, 6, 5, 6, 5, 6, 5, 3523, 33809, 705, 119055, 46646, 29789, 119718, 21292, 9213, 148346, 16175, 6, 5, 6, 5, 6, 5, 1470, 33809, 5666, 22753, 2808, 6, 238144, 4852, 2882, 20033, 5332, 22426, 13159, 34076, 26632, 1470, 75230, 2702, 220224, 6093, 76632, 23269, 2882, 54260, 5332, 6, 5, 4838, 6, 4, 74004, 5666, 58826, 6, 20971, 3523, 54260, 1211, 6, 4, 6255, 874, 33809, 4852, 55242, 42023, 6, 5, 6, 5, 6, 5, 26612, 5332, 2808, 33809, 5666, 4151, 55242, 42023, 705, 45223, 23741, 124724, 705, 220771, 20033, 6, 17188, 9719, 14081, 39340, 6, 4, 137, 144754, 54260, 26612, 4231, 12483, 15907, 6428, 33809, 705, 46855, 171665, 506, 26, 1644, 12483, 6235, 2648, 54260, 20260, 16803, 6428, 33809, 657, 6, 5, 6, 5, 6, 5, 26612, 5332, 2808, 33809, 4667, 6, 238144, 2702, 42493, 7508, 26, 19532, 105330, 6, 4, 119055, 46646, 11265, 163139, 21295, 705, 119055, 46646, 9213, 506, 12415, 29060, 364, 54260, 50778, 8903, 1211, 169532, 705 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 48904, 39340, 8903, 1211, 119055, 46646, 4151, 874, 41595, 9213, 46244, 54260, 26612, 5332, 137218, 4231, 6, 5, 6, 5, 6, 5, 132, 26217, 16932, 32054, 54260, 16747, 16, 57277, 39340, 2451, 7621, 6, 7961, 185040, 6, 48904, 39340, 8903, 1211, 10676, 5332, 12483, 6, 4, 220771, 20033, 4231, 31177, 9719, 14081, 39340, 6, 4, 3523, 144754, 78104, 23173, 16870, 16803, 6428, 33809, 6, 24846, 148932, 15864, 110970, 147062, 163139, 2702, 12483, 6, 4, 119055, 46646, 7369, 163139, 1644, 4838, 5332, 119718, 1644, 4838, 33809, 22426, 3131, 54260, 20260, 54260, 2882, 6, 4, 3056, 1751, 54260, 20260, 54260, 2882, 711, 123736, 17410, 163139, 1644, 6255, 182731, 6, 4, 9174, 14081, 220224, 1211, 6235, 98833, 1054, 4838, 26612, 26612, 64044, 43649, 20616, 33716, 705, 46855, 171665, 506, 26, 1211, 6, 4, 185143, 6428, 33809, 2808, 10339, 54260, 8903, 28726, 874, 54260, 23269, 6, 98833, 3111, 26612, 71577, 12483, 75322, 4113, 33809, 148346, 13381, 26, 4113, 153, 11265, 1470, 33809, 23405, 105330, 44779, 185000, 120923, 53915, 711, 119055, 46646, 4838, 22151, 16175, 4838, 26612, 506, 192900, 7746, 874, 98071, 54343, 6235, 159696, 1211, 6, 4, 36324, 7265, 1751, 54260, 20260, 54260, 2882, 17190, 148346, 2882, 18225, 42493, 16175, 4838, 33809, 5666, 6, 68558, 8903, 21295, 3056, 6319, 54260, 1211, 6, 159696, 21295, 6, 20971, 6, 89799, 6428, 33809, 8248, 31467, 4944, 16803, 4838, 124470, 17160, 2754, 6, 4, 6428, 33809, 163139, 1644, 16803, 6, 81371, 21295, 1054, 4838, 48904, 710, 148346, 6255, 124724, 4838, 148346, 10125, 7265, 182731, 2819, 4838, 148346, 609, 6, 5594, 82377, 6, 4, 4151, 97483, 18415, 3056, 4838, 2932, 148346, 33809, 26612, 37922, 15907, 1470, 54260, 2932, 65482, 364, 54260, 168155, 1470, 33809, 5666, 19302, 54260, 96986, 2819, 6428, 33809, 6, 148346, 1644, 54260, 148346, 16803, 4151, 4231, 142144, 1054, 3523, 33809, 16175, 1054, 26632, 22492, 4667, 6681, 6319, 173967, 31467, 45521, 21295, 124724, 705, 6, 5, 6, 5, 6, 5, 155, 2451, 1470, 33809, 5666, 874, 171665, 15662, 1285, 19302, 54260, 2882, 6, 4, 6655, 11265, 4269, 9221, 29060, 705, 2451, 7369, 3056, 18367, 33809, 8632, 6, 4, 220224, 6093, 7544, 33809, 8632, 711, 4151, 6, 148346, 54260, 1211, 2205, 122133, 1211, 5332, 4838, 8580, 5332, 26612, 2932, 20961, 364, 65482, 4667, 4151, 6, 148346, 13845, 13278, 13720, 6, 5, 2451, 123736, 148346, 6093, 119055, 12483, 705, 163139, 2808, 1157, 2932, 2932, 49481, 705, 36324, 42493, 3373, 33809, 1211, 9213, 148346, 8248, 31467, 109636, 1211, 4838, 54260, 1211, 183512, 6093, 19302, 54260, 2882, 6, 5, 6, 5, 6, 5, 20033, 3056, 19024, 220224, 6093, 6, 141847, 711, 2451, 6, 238144, 16803, 6428, 33809, 119055, 46646, 4231, 31177, 9719, 14081, 39340, 6, 4, 364, 54260, 13497, 6, 127827, 141943, 5332, 4269, 75230, 26612, 4838, 26612, 75230, 1211, 4838, 4113, 20961, 26, 16888, 2808, 33809, 2442, 6, 148346, 33809, 7611, 711, 4838, 23093, 54260, 6093, 6093, 1470, 75230, 2702, 7508, 54260, 2648, 2819, 163139, 2702, 12483, 163139, 1644, 9213, 148346, 123736, 2932, 22426, 1211, 874, 22426, 58729, 2442, 19302, 54260, 2882, 711, 6, 5, 6, 5, 6, 5, 155, 117641, 2932, 20033, 711, 2451, 77014, 21847, 46646, 22492, 711, 6235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 506, 6255, 7508, 26, 19532, 105330, 2451, 198754, 711, 51328, 6681, 6235, 2050, 42493, 6, 17188, 9719, 14081, 39340, 6, 4, 874, 54260, 23269, 41764, 9183, 43178, 54260, 61397, 54260, 2648, 2819, 24857, 3056, 4838, 124470, 10813, 2754, 102323, 33809, 4667, 6, 4, 42493, 6319, 54260, 1211, 137, 22426, 54561, 1644, 6, 95494, 33809, 22426, 4838, 26612, 26612, 26612, 4231, 33809, 93704, 54260, 23269, 134973, 4484, 33809, 189623, 42180, 2702, 6, 4, 1470, 33809, 5666, 6, 148346, 148346, 8300, 9134, 2819, 41764, 192900, 124724, 6, 148346, 905, 33809, 20315, 26612, 6, 17645, 109636, 1211, 64769, 20961, 6, 64260, 1285, 110573, 10125, 711, 163139, 2808, 6428, 33809, 2808, 119055, 6093, 16803, 51328, 6, 59929, 46053, 6, 4, 119055, 29060, 18225, 4838, 905, 26612, 120202, 16629, 96986, 7265, 6, 4, 10339, 33809, 1211, 60980, 22426, 6, 148346, 15533, 1285, 6, 131445, 2819, 28415, 119055, 33809, 86070, 4838, 33809, 26612, 6, 159696, 22426, 2882, 159696, 1644, 12483, 152, 119055, 119273, 230764, 364, 54260, 148346, 12483, 4838, 2932, 40697, 22426, 2882, 6, 148346, 15533, 1468, 6, 5, 6, 57277, 39340, 41764, 2884, 4838, 1054, 4838, 6, 54260, 71577, 2648, 33809, 2808, 119055, 119273, 15864, 4944, 12483, 6, 5, 75322, 2808, 107581, 4944, 54260, 155, 46748, 18250, 98071, 2050, 53915, 120470, 106, 905, 6, 159696, 22426, 2882, 41764, 710, 33809, 710, 109636, 1211, 26612, 33809, 109600, 6, 4, 1470, 33809, 5666, 4838, 3131, 33809, 54574, 4269, 148346, 14004, 711, 6, 5, 6, 5, 6, 5, 2451, 66334, 2808, 21847, 46646, 8903, 7508, 26, 19532, 105330, 6, 4, 77014, 21847, 46646, 8903, 6, 20971, 132, 26217, 16932, 32054, 54260, 16747, 16, 15622, 26612, 2451, 534, 6, 7961, 137, 5666, 54260, 2808, 6255, 4838, 506, 54260, 2050, 2819, 51328, 4, 44917, 6, 4, 2007, 54343, 850, 23269, 6, 4, 119055, 101503, 2819, 874, 33809, 4852, 2882, 5666, 56052, 4231, 75230, 9719, 14081, 39340, 6235, 148346, 8580, 9424, 238144, 2808, 7508, 33809, 148346, 15350, 6, 4, 230764, 1751, 148346, 609, 2819, 36324, 42493, 6, 4, 6, 174410, 6255, 6, 4, 8300, 33809, 874, 54260, 1211, 1470, 22663, 6, 212413, 6, 4, 42493, 6319, 33809, 51723, 6, 20971, 2451, 119055, 46646, 6, 23093, 33809, 2882, 7746, 7265, 1470, 54260, 4667, 705, 35289, 19532, 105330, 711, 11265, 220224, 13497, 199250, 3131, 75230, 1211, 5332, 20033, 1751, 33809, 1644, 158548, 4838, 96743, 4667, 182731, 6, 5, 6, 5, 6, 5, 26612, 5332, 26612, 33809, 4667, 6, 238144, 2702, 6, 4, 6255, 6, 238144, 2702, 6, 4, 24857, 119055, 29060, 220224, 1211, 8009, 77208, 657, 31581, 31467, 2884, 711, 8300, 238144, 1054, 33809, 22426, 15096, 33960, 148346, 2819, 874, 54260, 23269, 207737, 850, 364, 54260, 50778, 2932, 8580, 25890, 6, 4, 3056, 34654, 46685, 7369, 61397, 6, 20971, 153, 2451, 3523, 119718, 46646, 47567, 6255, 97483, 42023, 7265, 1470, 54260, 4667, 705, 3523, 26632, 711, 6, 5, 6, 5, 6, 5, 2451, 182261, 6235, 506, 6255, 52, 6655, 35289, 6, 23173, 105330, 6, 148346, 20616, 158291, 141943, 23964, 2205, 39340, 3131, 65482, 6, 148222, 9424, 238144, 2808, 7508, 33809, 148346, 1644, 150764, 152, 137, 26612, 2932, 33809, 146887, 97483, 5666, 2819, 123736, 159696, 16747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15231, 22151, 2882, 6428, 33809, 2808, 6, 94741, 33716, 705, 6, 5, 6, 5, 6, 5, 6255, 119055, 13845, 1470, 75230, 4667, 6319, 33809, 51723, 2819, 185040, 6, 148346, 14081, 2442, 6, 4, 6, 148346, 8580, 6255, 76776, 33716, 16175, 33809, 2648, 25603, 6, 5, 6, 5, 6, 5, 3523, 33809, 4838, 4269, 33809, 146887, 169532, 4231, 31177, 9719, 14081, 39340, 711, 111996, 6, 23173, 105330, 4151, 17190, 506, 25207, 6093, 6, 4, 3056, 6, 68558, 33960, 16580, 2865, 51723, 6319, 54260, 1211, 148088, 33809, 2702, 119718, 39340, 6, 4, 54260, 2882, 4838, 33809, 8580, 364, 21106, 148346, 58826, 46244, 1751, 109636, 16932, 10339, 33809, 1211, 4231, 31177, 9719, 14081, 39340, 1751, 119718, 710, 47526, 74004, 42023, 2819, 35289, 26612, 21106, 33809, 4484, 4838, 33809, 5666, 15622, 3149, 11556, 14081, 39340, 6, 4, 220224, 49008, 6, 21106, 18415, 6, 148346, 37016, 62067, 4113, 6, 4, 6, 21106, 18415, 2932, 33809, 18415, 32054, 54260, 16747, 148346, 75230, 2050, 4838, 137218, 40697, 1211, 99535, 2442, 163139, 13497, 29659, 75230, 148346, 2205, 6428, 5, 5, 6, 5, 6655, 148932, 10339, 33809, 1211, 6, 148222, 9424, 238144, 14004, 37016, 84577, 4113, 5332, 4269, 33809, 18415, 32054, 54260, 16747, 6, 4, 6681, 6, 99176, 146887, 4838, 105235, 28726, 6, 4, 49481, 21422, 1211, 118076, 2819, 26612, 29789, 4838, 21106, 33809, 4484, 2205, 24012, 159696, 1211, 76961, 46244, 6093, 2819, 1470, 33809, 5666, 1751, 119718, 710, 16747, 13845, 74004, 42023, 4838, 80453, 7682, 54595, 178107, 78683, 47351, 6, 54260, 26612, 6, 119859, 905, 33809, 2702, 12483, 6, 148346, 233364, 1644, 54260, 19302, 54260, 2882, 6, 4, 1470, 33809, 5666, 6655, 6, 148346, 92605, 33809, 51723, 29434, 54260, 364, 33809, 83182, 57277, 33809, 22426, 15096, 4838, 119859, 26612, 26612, 38087, 42142, 6, 5, 54260, 85935, 21106, 39340, 1054, 2205, 4838, 710, 33809, 23405, 6093, 6, 133111, 10339, 33809, 1211, 4838, 167305, 2442, 1105, 6, 4, 123736, 221704, 7265, 54260, 16629, 22426, 4838, 4838, 17645, 26612, 1751, 75230, 1211, 1470, 75230, 111137, 905, 162785, 8580, 6, 4, 7265, 42493, 6319, 54260, 1211, 15864, 33809, 149311, 41764, 12130, 74, 26612, 26217, 22426, 57277, 16580, 174121, 3131, 6235, 21733, 54260, 2442, 29060, 7265, 4838, 8903, 2932, 14081, 18415, 874, 29766, 20315, 6, 4, 1470, 33809, 5666, 6681, 137218, 39293, 8903, 6, 148346, 92605, 43178, 1211, 6, 148346, 159870, 8580, 2819, 6, 99176, 98833, 41764, 123844, 23269, 6, 4, 105884, 2882, 7508, 33809, 2702, 2702, 13456, 6, 4, 6, 148346, 90848, 4484, 57277, 33809, 194734, 26612, 7265, 4231, 119718, 22426, 6428, 54260, 48253, 2819, 657, 54260, 35596, 4838, 148346, 33809, 4667, 6, 4, 1470, 33809, 5666, 60980, 1211, 1470, 75230, 2702, 3069, 31467, 112452, 220224, 1211, 22426, 26612, 710, 33809, 71804, 4113, 6, 76776, 51723, 10339, 3131, 119718, 710, 16747, 13845, 74004, 42023, 155, 15864, 2932, 8580, 4838, 96743, 4667, 77775, 105188, 30721, 70845, 54260, 76776, 4838, 54260, 1211, 4838, 6, 54260, 26612, 19024, 30473, 8903, 70503, 7758, 6, 4, 37826, 7369, 1470, 75230, 2702, 33960, 29659, 33809, 27909, 2882, 6, 148346, 54260, 2050, 28726, 26612, 26612, 4113, 26612, 6, 79671, 6, 23173, 105330, 6, 4, 48706, 506, 6681, 6, 78683 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 95064, 6, 105780, 6293, 73880, 9424, 75230, 2882, 74, 1470, 33809, 5666, 24857, 710, 40096, 4838, 15907, 4269, 33809, 78683, 16803, 6, 78683, 95064, 3069, 2808, 112690, 5666, 1054, 33809, 148346, 15350, 6, 5, 10339, 33809, 1211, 4231, 114436, 9424, 75230, 2882, 6, 68558, 6, 4, 4113, 26217, 16932, 32054, 54260, 16747, 16, 220224, 49008, 5, 2451, 427, 292, 4852, 54260, 49008, 6, 75230, 2808, 6, 148346, 54260, 20315, 6235, 119718, 69596, 1211, 4269, 33809, 18415, 32054, 54260, 16747, 6, 4, 163139, 2808, 8947, 41764, 14004, 2882, 5332, 10339, 26612, 26612, 21106, 20616, 2442, 6093, 6, 4, 7265, 4838, 124470, 1644, 9719, 2648, 6, 5, 292, 148346, 54260, 2050, 55242, 1644, 148346, 93975, 1211, 99535, 2442, 6, 4, 163139, 13497, 29659, 75230, 148346, 6, 4, 6655, 6235, 2648, 41595, 4838, 4838, 54260, 18415, 26612, 210404, 9174, 33809, 8580, 6, 148222, 9424, 238144, 2808, 1470, 75230, 148346, 192539, 28714, 194734, 97614, 850, 6, 5, 2808, 33809, 5666, 4151, 29434, 710, 16932, 97614, 6, 4, 3056, 33960, 159696, 1211, 36324, 13845, 2882, 65482, 1751, 54260, 5927, 54260, 2882, 4838, 4838, 54260, 1211, 29766, 63593, 13159, 192544, 6, 4, 4838, 3131, 5666, 54260, 35189, 3131, 6, 40096, 115536, 6093, 1644, 6, 4, 1470, 54260, 1211, 64769, 44779, 192544, 6, 71577, 54260, 1211, 16580, 16747, 6, 4, 4838, 171665, 86733, 4113, 3523, 83586, 6, 5, 22492, 2442, 6, 4, 163139, 35189, 6, 148222, 6, 21106, 18415, 74806, 710, 4944, 18415, 6, 4, 4151, 14856, 110970, 1470, 33809, 2932, 1285, 620, 48904, 5666, 4838, 710, 31177, 9719, 14081, 39340, 4151, 6, 23173, 34533, 34882, 1982, 26632, 6, 4, 6655, 6235, 27720, 183216, 6, 148222, 32054, 33809, 24621, 5332, 21106, 33809, 109636, 2865, 54260, 135542, 2702, 77014, 71945, 2819, 7265, 4269, 33809, 18415, 4269, 17410, 18415, 7508, 54260, 2648, 6, 4, 7265, 6, 71577, 2808, 148346, 10339, 21106, 38596, 54260, 96256, 33809, 5666, 184057, 29111, 2819, 7265, 874, 124470, 9134, 6, 4, 7265, 364, 59247, 850, 6, 4, 1470, 33809, 5666, 7265, 11139, 33809, 50205, 1054, 6, 137218, 16932, 22753, 2808, 120202, 6235, 4484, 75230, 23741, 2205, 44917, 112690, 1211, 6, 5, 6, 5, 6, 5, 14081, 28726, 39484, 31467, 8580, 6235, 119718, 2808, 33809, 16803, 6, 4, 36324, 46855, 171665, 506, 15, 165592, 75230, 6655, 1285, 6428, 171127, 10705, 54260, 13845, 8903, 506, 54260, 2702, 12483, 16, 3056, 6, 17188, 9719, 14081, 4484, 13159, 110573, 10125, 2819, 3373, 54260, 122623, 6, 4, 7369, 119055, 29060, 6, 75322, 29400, 18906, 33809, 7511, 2808, 54260, 1211, 6, 101470, 6, 4, 7369, 119055, 29060, 1751, 174410, 148346, 8580, 6, 4, 119055, 29060, 6, 148346, 21338, 119055, 6093, 8580, 6, 54260, 1211, 11139, 33809, 20616, 4838, 13159, 220224, 49008, 6, 4, 6681, 6, 148346, 54260, 2808, 33960, 185337, 12483, 6, 4, 42493, 28415, 6, 238144, 4231, 6, 101328, 3131, 54260, 4838, 5332, 54260, 148222, 123736, 25207, 24621, 46855, 171665, 506, 6, 4, 6655, 132025, 8903, 506, 54260, 148346, 12483, 6, 134727, 1211, 6, 47351, 6, 17645, 96986, 2442, 140468, 6, 5, 6, 5, 6, 5, 6, 238144, 49008, 19302, 64567, 8580, 6, 4, 1751, 119718, 710, 16747, 13845, 74004, 42023, 47567 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7265, 4838, 8580, 4838, 33809, 22426, 506, 4231, 71577, 2884, 6, 33809, 2808, 75230, 148346, 42493, 6, 4, 364, 54260, 23405, 2882, 22753, 2808, 7746, 6, 4, 46711, 54260, 185226, 22753, 2808, 7746, 6, 4, 5332, 20961, 23741, 8248, 26612, 8248, 31467, 22426, 5332, 95766, 10339, 54260, 6093, 2205, 25933, 101608, 711, 51328, 1470, 33809, 112304, 34533, 711, 6, 5, 6, 5, 6, 5, 710, 31177, 9719, 14081, 39340, 6655, 24012, 22680, 4113, 98833, 6, 148346, 54260, 2808, 220224, 1211, 4269, 33809, 146887, 6, 150020, 54260, 76776, 5332, 41764, 75230, 26612, 6, 148346, 54260, 1211, 28726, 46244, 6093, 35289, 19532, 105330, 4, 4838, 21847, 54260, 107581, 5332, 8632, 2819, 22639, 4151, 17190, 506, 8903, 1211, 4231, 40096, 37189, 3111, 31467, 51723, 26612, 3149, 33809, 14857, 6, 4, 230764, 6235, 9719, 29659, 10676, 874, 23741, 9221, 6, 75230, 13458, 3149, 95138, 5332, 4838, 137218, 6235, 119718, 33809, 710, 12483, 2808, 75230, 6293, 6, 148222, 119055, 6093, 16932, 6, 4, 16175, 54260, 48253, 186797, 7265, 10676, 6, 223390, 6093, 95094, 99403, 115952, 39340, 6655, 120202, 6235, 3111, 31467, 2865, 51723, 67826, 44478, 506, 54260, 2882, 5332, 54260, 8903, 5332, 21338, 33809, 149364, 33809, 148346, 15350, 6, 4, 10339, 33809, 1211, 6, 148346, 13845, 364, 148346, 98071, 609, 2819, 67826, 44478, 506, 54260, 2882, 7746, 4269, 15533, 76632, 13497, 7265, 1054, 54260, 4838, 21106, 54260, 1211, 47709, 33809, 110970, 175221, 150839, 54260, 2882, 185000, 10676, 24012, 4944, 195107, 6, 4, 42493, 220771, 186797, 5332, 1285, 4838, 33809, 214766, 33809, 21733, 48904, 4113, 29766, 4113, 24621, 46855, 171665, 54574, 12483, 6, 4, 4838, 23822, 33809, 39340, 8903, 2050, 137, 4852, 54260, 2808, 6235, 4852, 33809, 16747, 6, 20971, 17188, 9719, 14081, 39340, 3056, 4838, 159696, 4484, 33960, 22426, 20961, 1211, 2205, 4151, 6, 1211, 710, 75230, 36419, 26612, 4838, 25603, 21295, 132, 3111, 16932, 32054, 54260, 16747, 16, 4838, 905, 26612, 4838, 2451, 702, 292, 2808, 33809, 5666, 120202, 42572, 20961, 186797, 116, 364, 33809, 83182, 2882, 163139, 20961, 16803, 10339, 33809, 1211, 6428, 6, 5, 1468, 2648, 33809, 710, 148346, 56170, 186797, 6, 4, 6, 148222, 77775, 43649, 69859, 175221, 148088, 33809, 609, 119718, 39340, 2819, 6655, 7369, 7746, 10069, 120202, 6, 190135, 152, 710, 31177, 9719, 14081, 39340, 6655, 6, 148346, 29060, 4944, 115536, 6, 148222, 19024, 30473, 8903, 27855, 69859, 2882, 109316, 1054, 6, 150839, 15907, 186046, 34076, 54260, 4667, 6235, 7201, 33809, 49008, 6, 4, 7746, 19024, 120202, 105235, 79981, 4, 1470, 33809, 5666, 6, 73381, 171428, 4838, 21733, 54260, 2882, 109316, 74, 21106, 13159, 6655, 70845, 6235, 21847, 93449, 2819, 28415, 1470, 33809, 5666, 6, 148346, 13159, 6093, 6, 4, 163139, 2808, 7369, 6655, 33960, 210674, 2819, 26612, 33809, 5666, 120202, 85465, 47526, 186797, 6, 148346, 54260, 2808, 4838, 506, 14081, 148346, 6, 98071, 43590, 2442, 9424, 54260, 2882, 6, 4, 6655, 7369, 74806, 12415, 148346, 12483, 4852, 54260, 1211, 17190, 46244, 6093, 35289, 19532, 105330, 2884, 4838, 148346, 12415, 6293, 6, 148346, 20116, 364, 106672, 152, 21847, 33809, 148346, 6093, 17190, 46244, 6093, 1470, 33809, 5666, 4269, 33809, 16932, 32054, 54260, 16747, 711, 119055, 46646, 22753, 56169, 11265, 140108, 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 ]
[ 4, 95766, 6, 17645, 119132, 10372, 4667, 705, 6319, 33809, 63532, 33960, 104238, 3069, 31467, 20033, 6, 4, 6319, 54260, 1211, 148088, 33809, 609, 119718, 39340, 2819, 19024, 6, 159696, 57277, 8580, 220224, 1211, 4151, 6, 148346, 13159, 16932, 1470, 33809, 5666, 184639, 17190, 46244, 6093, 2819, 42493, 39484, 31467, 8580, 6319, 54260, 23269, 2865, 54260, 12130, 230764, 7746, 6, 4, 1470, 33809, 5666, 6, 101470, 6, 148222, 6, 148346, 13159, 18415, 28798, 36484, 2819, 119055, 20961, 23741, 6, 148222, 148346, 17410, 15231, 8903, 6428, 6, 5, 6, 5, 6, 5, 6319, 33809, 63532, 4838, 506, 6093, 6, 4, 19024, 3056, 4151, 113524, 8009, 1211, 6, 5, 1470, 54260, 6093, 6, 124470, 1644, 9719, 94741, 33809, 5666, 32054, 54260, 16747, 4231, 31177, 9719, 14081, 1751, 119718, 710, 152848, 13845, 74004, 42023, 1470, 33809, 5666, 4151, 6, 148346, 12415, 61541, 4113, 6655, 19532, 105330, 710, 29060, 17190, 46244, 6093, 6, 4, 6235, 45629, 18415, 159696, 2882, 6, 4, 6, 66313, 14081, 156325, 6, 4, 2007, 5594, 24012, 159696, 1211, 711, 4151, 64769, 98071, 1211, 10339, 33809, 1211, 26612, 4113, 26612, 874, 54260, 506, 220224, 1211, 6, 4, 3056, 141107, 41764, 3131, 33809, 2882, 6, 5, 54260, 710, 4838, 21106, 33809, 4484, 4151, 41764, 69859, 1644, 21660, 75290, 17190, 46244, 6093, 3056, 6235, 148346, 18167, 4838, 62073, 99176, 7201, 16932, 6, 5, 111996, 4838, 15350, 33809, 4484, 41764, 69859, 1644, 21660, 39340, 3056, 4838, 506, 75230, 104238, 4231, 33809, 23405, 6093, 6, 133111, 6, 4, 4838, 3131, 119718, 20961, 42180, 8903, 33809, 8903, 22426, 4838, 80453, 54260, 2882, 162726, 54260, 10918, 61397, 4838, 8903, 4852, 33809, 13497, 6093, 2819, 105884, 2882, 6, 124470, 9719, 2648, 6, 4, 13278, 119718, 158548, 6, 4, 710, 43178, 33809, 2865, 33809, 12415, 33809, 2932, 6, 4, 364, 15907, 120202, 6, 59929, 6, 4, 7265, 4838, 3131, 6, 4, 4838, 25222, 44478, 41595, 6093, 185040, 2205, 6, 124470, 31212, 6, 4, 71577, 13845, 4838, 8903, 22492, 2882, 114436, 2819, 51328, 4838, 24621, 110970, 6428, 33809, 81455, 1470, 75230, 2702, 7265, 48277, 850, 6, 4, 3056, 42493, 19024, 6, 4, 4113, 58032, 4838, 21106, 43082, 112216, 55546, 21660, 39340, 6655, 4838, 506, 2702, 30869, 4, 4838, 23847, 75230, 149311, 4838, 25391, 37016, 7972, 211169, 109817, 2884, 6, 5, 6, 5, 6, 5, 20315, 1211, 5332, 80453, 2884, 220224, 61397, 6, 4, 3056, 220224, 1211, 6, 238144, 148346, 711, 9213, 46244, 364, 77188, 705, 6, 5, 1468, 26612, 4113, 75230, 148346, 23050, 148346, 4113, 4667, 6655, 7369, 6, 4, 3523, 33809, 155281, 1211, 711, 6, 141353, 55823, 1211, 85596, 6, 98071, 144862, 48775, 139962, 22426, 54260, 12483, 4838, 5332, 5332, 4231, 22753, 2808, 3056, 204982, 9174, 55687, 6, 4, 6319, 54260, 1211, 364, 24295, 39340, 196332, 6, 4, 6319, 54260, 1211, 6, 148346, 7972, 152848, 6, 4, 6319, 54260, 1211, 137218, 33809, 7682, 75230, 2882, 6, 37016, 75230, 1211, 620, 52480, 59094, 7511, 26394, 6, 4, 9174, 55687, 711, 4838, 23093, 54260, 123073, 6, 238144, 148346, 15350, 6, 4, 4838, 61397, 26632, 65482, 26612, 54260, 22426, 15350, 1054, 42493, 28415, 6, 4, 119055, 46646, 22753, 2808, 3056, 4838, 50856, 75230, 36419 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18367, 36326, 609, 711, 6, 5, 6, 5, 6, 5, 54260, 2808, 6655, 120202, 15350, 33809, 6, 48904, 33809, 2882, 55202, 6, 4, 4838, 23093, 54260, 123073, 3523, 83586, 6, 4, 204982, 1470, 54260, 1211, 29771, 26612, 33809, 2865, 212915, 8947, 149311, 6, 4, 81414, 20260, 12483, 6, 4, 4838, 63532, 148346, 4113, 1470, 75230, 4667, 6, 4, 1470, 33809, 5666, 49481, 76961, 2702, 10676, 6, 4, 3056, 132, 3111, 16932, 32054, 54260, 16747, 16, 22753, 2808, 2451, 616, 292, 30473, 2808, 6, 5, 6, 5, 6, 5, 4838, 710, 711, 4838, 17824, 75230, 36419, 6, 4, 220224, 6093, 4838, 23847, 75230, 36419, 18367, 36326, 609, 711, 30473, 2808, 6655, 11265, 19532, 105330, 8580, 6, 4, 11265, 6, 133111, 6, 4, 10676, 77775, 1211, 17190, 54260, 4113, 26612, 81951, 2648, 6, 142170, 12483, 6, 5, 6, 5, 6, 5, 67826, 44478, 506, 54260, 2882, 6, 195054, 75230, 77188, 6, 4, 4838, 8300, 54260, 2882, 6, 195054, 75230, 77188, 6, 148346, 8580, 5332, 137218, 192061, 70845, 6235, 85465, 22426, 2882, 6, 5, 6, 5, 6, 5, 2808, 33809, 5666, 6, 148346, 54260, 2808, 10676, 137, 96743, 109636, 1211, 155, 6655, 22753, 2808, 6, 23173, 75230, 2702, 6235, 119718, 710, 109995, 6, 4, 4838, 17645, 4113, 3523, 122978, 6093, 36326, 850, 2819, 22753, 2808, 6655, 70845, 30654, 20116, 33960, 159696, 1211, 6, 148346, 50097, 110573, 1644, 2181, 6, 183721, 4231, 6, 54260, 26612, 4838, 2932, 172060, 26612, 148346, 710, 33809, 20560, 220224, 49008, 33960, 159696, 1211, 17824, 75230, 2702, 6, 4, 6, 148222, 6, 148346, 30473, 15050, 874, 151461, 158548, 711, 35289, 1470, 21106, 33809, 4484, 1054, 4231, 40096, 7511, 2882, 6, 29171, 62067, 6, 4, 6, 238144, 104149, 220224, 23269, 1470, 75230, 129891, 6, 4, 7369, 3056, 23050, 148346, 4113, 4667, 24012, 28726, 129891, 6, 71577, 210726, 2808, 22426, 65482, 26612, 95766, 43649, 33809, 148346, 6, 5, 6, 5, 6, 5, 148222, 18367, 36326, 609, 6655, 70845, 6235, 99176, 156325, 2205, 110573, 61722, 6, 4, 2205, 6, 8580, 2932, 22426, 1211, 4838, 2884, 22492, 57619, 12483, 17190, 148346, 12483, 6, 5, 6, 5, 6, 5, 2882, 1982, 115536, 186797, 119055, 46646, 6, 4, 1470, 33809, 5666, 163139, 2808, 3069, 31467, 97483, 42023, 6, 4, 3056, 70845, 4838, 2932, 8903, 4484, 33809, 109636, 1211, 4852, 54260, 1211, 6, 124470, 1644, 9719, 150715, 6, 148346, 12415, 6293, 10339, 33809, 1211, 148088, 33809, 4775, 905, 39340, 6, 5, 7511, 2882, 15864, 4944, 186797, 84087, 4636, 5047, 6, 4, 3056, 35289, 19532, 105330, 132025, 8903, 4484, 33809, 109636, 1211, 4231, 119718, 1211, 55546, 33809, 609, 119718, 39340, 2819, 4838, 29659, 54260, 61397, 6655, 7746, 6, 148222, 6, 23173, 33809, 17800, 6, 4, 6, 148222, 4838, 110970, 12483, 5332, 4838, 75230, 22426, 22492, 4667, 6, 207591, 28726, 22426, 2882, 2819, 10339, 33809, 1211, 36324, 13845, 107581, 6, 147185, 6, 4, 119055, 77188, 18225, 42493, 4269, 33809, 22426, 41764, 2882, 33809, 26612, 5332, 5332, 2808, 33809, 5666, 6, 17188, 9719, 14081, 39340, 6655, 874, 101146, 3523, 54260, 12483, 6, 109995, 17190, 46244, 6093, 6, 4, 7265, 76961, 41764, 5666, 7972, 22426, 54260, 2882, 4838, 111996, 19532, 105330, 6655, 19024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 185000, 6, 119437, 4838, 23847, 75230, 2702, 23173, 15231, 2932, 8580, 5332, 6, 71577, 148346, 6319, 33809, 16747, 12483, 37922, 15907, 4269, 33809, 18415, 28798, 506, 448, 2819, 4151, 6, 135249, 3056, 6, 5, 119055, 46646, 6, 148346, 54260, 2050, 123736, 2932, 22426, 84577, 5332, 6655, 4838, 15907, 148346, 2808, 21847, 93449, 6, 4, 6, 148346, 34882, 33809, 2865, 51723, 6, 48904, 98229, 51723, 6681, 6, 71577, 54260, 119132, 6, 4, 4838, 8903, 22426, 33809, 137218, 4113, 109636, 1211, 4838, 33809, 23405, 33809, 146887, 17190, 46244, 6093, 6, 5, 26612, 90079, 49481, 4838, 90079, 6, 4, 220224, 49008, 7746, 9213, 148346, 6093, 57906, 2808, 22426, 8580, 42572, 9221, 132025, 7511, 2882, 5332, 41764, 2808, 29060, 26394, 54260, 2808, 58826, 46244, 9424, 54260, 2882, 2819, 1470, 33809, 5666, 35289, 19532, 105330, 4151, 17190, 46244, 6093, 78104, 22426, 6, 54260, 710, 57277, 21106, 3131, 119718, 710, 16747, 13845, 74004, 42023, 220224, 49008, 220224, 6093, 28798, 33809, 2442, 46104, 24295, 6, 4, 220224, 6093, 6, 148346, 4113, 109636, 75230, 7511, 29060, 4838, 4838, 54260, 23269, 88945, 2050, 9424, 119718, 710, 96986, 657, 75230, 148346, 2882, 1470, 33809, 5666, 6, 65606, 63532, 2819, 1470, 54260, 59461, 2190, 33809, 36909, 33809, 1211, 6, 208048, 4113, 26612, 2884, 4838, 4113, 2932, 54260, 15350, 12483, 54343, 506, 448, 6, 5, 182261, 163139, 1644, 35289, 19532, 105330, 6, 4, 6, 23173, 54260, 1211, 1751, 4667, 148346, 171428, 6, 54260, 15907, 33809, 26612, 54260, 1211, 5332, 4838, 8580, 26612, 132736, 7611, 17824, 33809, 148346, 6, 4, 7369, 1751, 79950, 35596, 70845, 35289, 16888, 2808, 33809, 2442, 41764, 33809, 4667, 97483, 22426, 17645, 26612, 5332, 4838, 4231, 40096, 54705, 6681, 6, 40096, 33809, 25559, 711, 132, 3111, 16932, 32054, 54260, 16747, 16, 11, 423, 292, 5, 617, 111996, 16888, 2808, 33809, 2442, 6, 148346, 33809, 6293, 6, 4, 3056, 1470, 54260, 59461, 10339, 33809, 1211, 6, 148222, 6235, 65606, 188201, 9213, 122623, 2205, 95766, 148088, 33809, 3149, 119718, 39340, 2819, 7369, 3056, 1470, 54260, 59461, 10339, 33809, 1211, 4231, 65482, 6, 4, 119055, 46646, 6, 148222, 137, 21106, 18415, 6, 159696, 21295, 155, 506, 64260, 7746, 7265, 9934, 75230, 2808, 33960, 141943, 41595, 6, 4, 1470, 33809, 5666, 6, 148222, 5332, 2808, 98071, 4113, 6, 159696, 21295, 155, 132025, 8903, 506, 54260, 148346, 12483, 152, 20315, 26612, 33809, 148346, 4113, 26612, 6235, 7916, 49008, 20033, 2205, 40611, 137, 4113, 22426, 13159, 155, 10339, 33809, 1211, 6, 148346, 54260, 20315, 49027, 96986, 2819, 4838, 23829, 155045, 1644, 39340, 4, 21106, 119718, 148346, 3373, 33809, 4113, 26612, 33809, 4484, 6, 4, 10339, 33809, 1211, 4151, 6, 21106, 16932, 2819, 6, 23173, 33809, 2050, 6235, 56914, 8580, 6, 37016, 54260, 28726, 4944, 158548, 10676, 6, 148346, 159870, 13159, 149311, 6, 68558, 4838, 87637, 175221, 6, 4, 42493, 6, 148346, 35596, 16629, 1211, 6, 4, 163139, 2808, 1470, 54260, 59461, 10339, 33809, 1211, 6, 148222, 44917, 54260, 4113, 6, 159696, 21295, 2819, 2442, 54260, 16888, 2808, 33809, 2442, 2190, 4852, 4838, 14004, 2648, 4838, 23405, 15435, 6, 4, 10339, 54260, 13497, 7746, 1470, 75230, 2702, 7265, 4838, 133749, 15307, 6, 4, 4838, 148346, 23829, 76776, 26612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4838, 29659, 33809, 4484, 109316, 110573, 61722, 2819, 1470, 33809, 5666, 18225, 15864, 2932, 1751, 174410, 148346, 8580, 6681, 220224, 23269, 6, 131445, 6, 4, 119055, 29060, 16870, 42493, 6235, 148346, 12483, 4838, 80453, 33809, 23093, 6, 4, 163139, 2808, 6, 148346, 14081, 2648, 36324, 4151, 6, 148346, 54260, 2808, 3056, 42493, 19024, 9174, 26632, 2702, 71577, 33809, 710, 109316, 4231, 153222, 16803, 3523, 155, 6, 5, 6, 5, 6, 5, 22426, 22426, 76866, 24012, 49008, 6, 148222, 148088, 33809, 609, 119718, 75290, 9213, 122623, 1470, 33809, 57619, 33809, 211630, 8580, 7265, 35289, 16888, 2808, 33809, 2442, 148346, 33809, 22426, 5332, 4838, 33809, 5666, 67826, 44478, 506, 54260, 2882, 874, 33809, 2442, 24621, 21295, 148932, 230764, 220224, 23269, 133749, 58758, 220771, 186797, 6, 4, 17645, 109636, 26612, 6, 159696, 21295, 7369, 42493, 564, 54260, 149311, 10339, 33809, 1211, 16175, 75230, 2882, 10339, 33809, 1211, 17190, 148346, 16870, 18640, 6, 4, 6, 148346, 13159, 6093, 119055, 14081, 96986, 42493, 14764, 183216, 6, 4, 7511, 2882, 199720, 171665, 1644, 12483, 137, 24621, 850, 9174, 92178, 29171, 13159, 155, 6, 148346, 54260, 2808, 220224, 6093, 3523, 83586, 153, 148346, 4113, 109636, 26612, 5332, 6, 5, 4838, 6, 148346, 13159, 6093, 119055, 46646, 47567, 18225, 657, 54260, 4484, 171428, 705, 77775, 9424, 23174, 6093, 6, 4, 134973, 12483, 174121, 110970, 33809, 1211, 2190, 33809, 22426, 2884, 41764, 75230, 6093, 6, 148346, 2442, 75230, 183216, 711, 18225, 5332, 54260, 2702, 6, 4, 18225, 6, 238144, 2702, 6, 4, 36324, 6319, 113889, 506, 6, 4, 3131, 5666, 23173, 6, 84577, 5332, 123736, 15533, 2648, 4838, 26612, 15435, 40697, 6, 21106, 18415, 162726, 2808, 8903, 711, 41764, 3131, 33809, 2882, 18225, 6681, 4269, 41595, 7511, 2882, 4838, 26612, 15435, 17190, 148346, 2882, 6, 148346, 65577, 1054, 65577, 6, 4, 6655, 6, 124470, 9719, 2648, 2205, 364, 104274, 1285, 95836, 148346, 4113, 2819, 64260, 6, 137218, 54260, 18225, 1470, 33809, 2050, 6, 148346, 34557, 54260, 122623, 6, 148346, 43178, 184069, 12483, 6, 4, 1470, 33809, 13497, 6093, 6, 148222, 1470, 75230, 8903, 1211, 152, 26612, 33809, 710, 6, 18640, 109636, 1211, 5332, 657, 75230, 148346, 12483, 6, 4, 364, 75230, 148346, 12483, 6, 148346, 15533, 2205, 364, 33809, 2865, 24621, 1644, 6, 4, 2205, 6, 148222, 1470, 75230, 129891, 6, 5, 6, 5, 6, 5, 5666, 23173, 35289, 16888, 2808, 33809, 2442, 6, 5, 6, 148346, 33809, 6293, 6, 4, 6, 148346, 37016, 33809, 46685, 2882, 7746, 6, 238144, 110317, 10339, 33809, 1211, 6, 148222, 21106, 4113, 5332, 26612, 54260, 1211, 5332, 6, 12483, 17190, 148346, 2882, 4838, 97594, 144581, 211169, 169532, 6, 5, 17645, 710, 1751, 3111, 63864, 2702, 32899, 146079, 17645, 3056, 4838, 21733, 75230, 23269, 6, 4, 7369, 6, 4, 220224, 1211, 6, 148346, 54260, 28726, 1470, 33809, 5666, 22426, 710, 6, 71577, 33809, 8580, 97483, 34079, 2808, 23269, 6, 4, 6, 75322, 54260, 2648, 109316, 10339, 33809, 1211, 4838, 167305, 2442, 206105, 155, 1470, 33809, 5666, 5666, 119718, 26612, 2932, 54260, 2932, 5332, 163139, 46590, 6, 148222, 234917, 155, 220224, 49008, 6, 4, 60980, 1211, 18225, 6235, 5666, 75230, 42493, 17645, 29659, 710, 22426, 710, 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 ]
[ 6, 4, 3523, 23173, 76961, 220224, 49008, 7038, 121945, 6, 4, 36324, 4838, 714, 3056, 8248, 2808, 6235, 119718, 21292, 6, 5, 132, 4113, 16932, 32054, 54260, 16747, 16, 2205, 2451, 611, 292, 95766, 6, 148222, 3373, 171665, 506, 6, 4, 119055, 46646, 22753, 2808, 3056, 7746, 36324, 75230, 145813, 29060, 6681, 9934, 13159, 149311, 5332, 68313, 6319, 54260, 59461, 9174, 55687, 42493, 1751, 33809, 1644, 158548, 6, 4, 51328, 22753, 2808, 6, 21106, 54260, 1211, 6, 5, 6, 5, 2882, 26632, 23829, 23269, 3056, 23050, 148346, 4113, 4667, 220224, 6093, 24012, 35189, 18640, 6235, 119718, 162785, 8580, 5332, 4151, 3069, 6, 54260, 1211, 14857, 33809, 5927, 17824, 4113, 148346, 6, 4, 6681, 2865, 54196, 11265, 6, 4, 2205, 4838, 21733, 54260, 1211, 2808, 33809, 8903, 24152, 29060, 41764, 13159, 54260, 1644, 190135, 2819, 11265, 41764, 12130, 119055, 158291, 110573, 76866, 42493, 36324, 75230, 15864, 33809, 2702, 33960, 159696, 1211, 6, 4, 119055, 12483, 4838, 54260, 43178, 238144, 2808, 17824, 75230, 36419, 1470, 75230, 8903, 1211, 6, 4, 119055, 158291, 8580, 19302, 114436, 220224, 1211, 6, 4, 1470, 33809, 5666, 4838, 148346, 33809, 2702, 109316, 19302, 33809, 8903, 1211, 4484, 33809, 4484, 2884, 6, 5, 6, 5, 6, 5, 3373, 2702, 12130, 220224, 49008, 1751, 75230, 1211, 24012, 159696, 1211, 10339, 33809, 1211, 110573, 1644, 3373, 2702, 12130, 5332, 1470, 33809, 2442, 7265, 10676, 5, 4484, 33809, 112452, 220224, 49008, 220224, 2808, 4838, 159696, 4484, 24012, 64044, 8580, 155, 6, 5, 6, 5, 22492, 2442, 6, 148346, 54260, 2808, 3523, 26632, 3056, 6319, 54260, 1211, 6681, 117641, 4113, 8903, 42493, 19024, 4231, 6, 148346, 54260, 2808, 16175, 174121, 28714, 24621, 6319, 54260, 1211, 6, 23173, 75230, 2702, 23050, 119718, 20961, 55823, 8903, 6, 5, 96256, 15231, 112711, 13159, 137, 148346, 2808, 86733, 16932, 155, 3056, 1470, 75230, 4667, 6235, 4484, 33809, 51723, 6, 5, 4484, 54260, 28726, 4944, 10069, 129891, 6, 147502, 2205, 35289, 16888, 2808, 33809, 32206, 17824, 75230, 36419, 1470, 75230, 2702, 6235, 22426, 33809, 13497, 119273, 14081, 10705, 4113, 6, 4, 230764, 119055, 13845, 211169, 8947, 43649, 54260, 2882, 4151, 60980, 4944, 16870, 161459, 77014, 101296, 4113, 26612, 710, 6, 4, 14857, 15307, 7265, 6681, 6, 148346, 54260, 2702, 33809, 23405, 6, 4, 22753, 56169, 35289, 16888, 2808, 33809, 2442, 1468, 4231, 220224, 1211, 6, 148346, 54260, 28726, 4838, 33809, 13497, 26632, 23829, 23269, 74, 97483, 15231, 2808, 23269, 3056, 10676, 4838, 159696, 16747, 6, 4, 17190, 148346, 16870, 161459, 6, 4, 6, 150020, 119718, 1644, 33809, 109636, 26612, 5332, 2808, 75230, 2702, 6235, 22426, 33809, 56169, 6, 4, 28415, 163139, 2808, 6, 124470, 9719, 2648, 6, 4, 1470, 33809, 5666, 4838, 46590, 33809, 1751, 114436, 6, 4, 364, 171428, 4838, 905, 33809, 137218, 28726, 123736, 4113, 141943, 6, 5, 6, 5, 6, 5, 2808, 75230, 6293, 17645, 35189, 19302, 2808, 22426, 7265, 6, 148222, 78104, 46244, 6, 4, 119055, 20961, 156325, 7746, 220224, 4113, 25603, 76961, 107182, 2808, 75230, 8903, 1211, 3069, 31467, 2050, 78104, 46244, 6, 4, 6, 71577, 12130, 220224, 2808, 7369, 33353, 96986, 184695, 6, 5, 2808, 33809, 5666, 64890, 69106, 6, 120749, 18640, 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 ]
[ 5, 148222, 78104, 46244, 6655, 7746, 24012, 73381, 41595, 6, 4, 8947, 220224, 49008, 6, 23173, 54260, 1211, 6, 29171, 33809, 51723, 4838, 26612, 119718, 23829, 8903, 16803, 6, 4, 1470, 33809, 54561, 123073, 6, 148346, 37016, 62067, 4113, 9424, 238144, 2808, 4269, 33809, 18415, 32054, 54260, 16747, 6, 4, 7508, 54260, 6, 23173, 105330, 200207, 20616, 2442, 6093, 6, 4, 1470, 33809, 5666, 6, 17188, 9719, 14081, 1751, 119718, 710, 16747, 13845, 74004, 42023, 6, 5, 35189, 6319, 148346, 17795, 41764, 12130, 6, 4, 7265, 10676, 6, 148346, 2808, 39340, 8903, 1211, 7746, 6, 4, 3056, 6428, 33809, 905, 22426, 24012, 76776, 183216, 148346, 13159, 6093, 163139, 2808, 6235, 119718, 2808, 33809, 110970, 12483, 2819, 18225, 6655, 24012, 25207, 36609, 6, 4, 22753, 8300, 186797, 6, 148346, 75230, 2882, 6, 147502, 5332, 8903, 101080, 31467, 119273, 6, 4, 7746, 6235, 159696, 33716, 710, 21295, 6, 4, 6, 148346, 15533, 18225, 3056, 3069, 31467, 6235, 4484, 33809, 2865, 51723, 4838, 33809, 80453, 91595, 8580, 64769, 98071, 1211, 6, 5, 2451, 60980, 1211, 6255, 163139, 2702, 2702, 12483, 4838, 124470, 3131, 14325, 6, 4, 874, 171665, 2050, 4151, 19302, 54260, 2882, 6, 47351, 4838, 1054, 5332, 6, 137218, 15231, 31177, 9719, 14081, 24012, 8903, 148346, 8580, 4838, 22680, 4113, 2932, 6, 5, 6, 5, 6, 5, 132, 26217, 16932, 32054, 54260, 16747, 16, 41764, 137218, 2451, 729, 6, 7961, 6681, 1470, 54260, 4667, 6, 4, 6681, 1470, 54260, 4667, 4, 3056, 6, 148222, 19302, 54260, 2882, 6, 4, 1054, 168155, 1751, 119718, 710, 16747, 13845, 74004, 42023, 2819, 144754, 9424, 238144, 2808, 97816, 3069, 31467, 7508, 7682, 6, 4, 6, 148346, 8580, 6255, 24012, 159696, 1211, 6, 148346, 54260, 2808, 364, 65482, 4667, 6, 148346, 13845, 13278, 13720, 2819, 24390, 4838, 148346, 710, 10705, 29060, 6, 4, 84475, 182731, 9424, 238144, 364, 33809, 83182, 2882, 6, 59919, 147455, 7508, 33809, 148346, 15350, 84475, 23173, 75230, 2702, 10339, 33809, 1211, 19302, 54260, 2882, 2819, 25890, 42005, 54260, 2808, 169532, 6, 5, 6, 5, 6, 5, 6255, 6, 238144, 2702, 6, 4, 123736, 4852, 6150, 75230, 84087, 6319, 137377, 7682, 13159, 159696, 2882, 7369, 1470, 75230, 4667, 42493, 39484, 31467, 8580, 711, 2451, 15864, 129891, 20033, 15864, 211169, 4838, 506, 104274, 705, 2451, 6681, 119055, 46646, 42493, 705, 2451, 36324, 15864, 211169, 4838, 506, 104274, 6, 4, 3056, 230764, 76961, 2702, 7265, 4838, 122165, 711, 6, 5, 6, 5, 6, 5, 6655, 111996, 19532, 105330, 150764, 7265, 4838, 3131, 2865, 54260, 4944, 109316, 10339, 33809, 1211, 4838, 3131, 2648, 12984, 6, 5, 2451, 137, 7511, 2882, 364, 54260, 21295, 7746, 25093, 19532, 105330, 6, 20971, 6655, 25093, 16888, 2808, 33809, 2442, 6, 148346, 33809, 6293, 150764, 152, 4113, 46646, 220224, 49008, 9424, 238144, 2808, 6, 148346, 48350, 33809, 83182, 4113, 9934, 69596, 1211, 2819, 9213, 46244, 6681, 43649, 54260, 2882, 705, 23165, 119718, 710, 79981, 20033, 227692, 87583, 142144, 220224, 1211, 6, 4, 1470, 75230, 156325, 77756, 1211, 6, 4, 1470, 33809, 5666, 7369, 6, 159696, 129891, 1470, 33809, 54561, 2819, 13278, 2050, 20033, 506, 71577, 8580, 6, 4, 36324, 7369, 7265, 1470, 33809, 54561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29060, 7746, 6, 13497, 6, 141353, 156325, 27855, 51723, 155, 6, 5, 6, 5, 6, 5, 8903, 119718, 21292, 6655, 35289, 16888, 2808, 33809, 2442, 42493, 6235, 119718, 2808, 33809, 16803, 6, 4, 163139, 2808, 17824, 75230, 2702, 6, 4, 1470, 33809, 5666, 238144, 1751, 57277, 24152, 6, 4, 3056, 33960, 159696, 1211, 6, 148222, 6, 105235, 107581, 8903, 2702, 10339, 33809, 1211, 220224, 23269, 141879, 41764, 20961, 119718, 216510, 4231, 35289, 19532, 105330, 6655, 7265, 22518, 37016, 8903, 4113, 20961, 1470, 54260, 1211, 1470, 75230, 2932, 230764, 54260, 52480, 115952, 8580, 6, 4, 1054, 46646, 3056, 9213, 4151, 6, 117397, 33809, 2882, 6235, 119718, 69596, 9213, 6, 105515, 9213, 7508, 75230, 2882, 6, 4, 7746, 54260, 21106, 186797, 5332, 22426, 13159, 6, 5, 6, 5, 6, 5, 905, 1470, 33809, 5666, 6255, 6, 148346, 8580, 6, 148346, 2882, 33809, 3149, 4, 35289, 16888, 2808, 33809, 2442, 6, 4, 36324, 24857, 55242, 1644, 148346, 93975, 137218, 905, 54260, 1211, 20033, 7265, 1470, 54260, 4667, 6, 4, 7746, 1470, 75230, 4667, 42493, 27855, 51723, 711, 6, 5, 6, 5, 6, 5, 6, 148346, 54260, 20315, 133749, 30979, 6, 4, 137218, 26612, 6, 71804, 109995, 8248, 31467, 4667, 230764, 20033, 6, 4, 6255, 60980, 1211, 1470, 54260, 4667, 6, 148346, 54260, 122623, 2819, 874, 54260, 1211, 5332, 8632, 3056, 6, 4, 137218, 710, 49008, 4838, 159696, 16747, 47567, 220224, 1211, 6, 124470, 22492, 448, 6, 5, 2451, 5332, 119718, 46646, 55242, 98833, 4151, 122780, 1211, 6, 24846, 6655, 25093, 16888, 63864, 23050, 74004, 98833, 6, 5, 26612, 193042, 21847, 46646, 22492, 711, 2451, 77014, 21847, 46646, 22492, 711, 35189, 71107, 6655, 7746, 24012, 8903, 148346, 8580, 364, 104274, 6, 4, 8947, 3056, 6235, 119718, 69596, 1211, 17190, 148346, 4113, 196332, 54260, 4113, 26612, 6, 80453, 54260, 44779, 2819, 6, 148222, 172033, 6655, 6235, 2648, 75230, 77188, 6, 148346, 15533, 9424, 159696, 108968, 6, 148346, 54260, 2808, 112389, 2882, 2819, 51723, 4231, 40096, 7746, 32054, 54260, 16747, 32792, 3069, 31467, 55242, 2932, 41595, 6, 4, 1470, 33809, 5666, 3069, 31467, 64890, 183216, 6, 5, 292, 26612, 4838, 705, 1054, 46646, 220771, 16803, 6428, 33809, 4231, 31177, 9719, 14081, 705, 123736, 58826, 6, 148346, 54260, 2808, 20033, 6, 148346, 25207, 39340, 21295, 132, 26217, 16932, 32054, 54260, 16747, 16, 6, 4, 304, 18225, 2451, 611, 292, 55823, 1211, 7746, 42493, 6, 5, 6, 5, 6, 5, 7369, 163139, 1644, 6, 57619, 227692, 87583, 142144, 3523, 54260, 1211, 6, 5, 6, 5, 6, 5, 4838, 2932, 33809, 18415, 5332, 14004, 534, 6, 54260, 2451, 7369, 3056, 6, 71577, 54260, 59461, 4838, 21733, 33809, 61397, 155787, 711, 2451, 1470, 33809, 5666, 6, 148222, 110573, 10125, 705, 2451, 6255, 39484, 31467, 7746, 6681, 219947, 13845, 2882, 7369, 61397, 6, 4, 15864, 33809, 101608, 4231, 3523, 54260, 1211, 5332, 219947, 56537, 2819, 20033, 6, 171261, 33809, 29659, 51328, 6, 4, 119055, 46646, 3056, 22753, 2808, 42355, 6, 76776, 57619, 21660, 54260, 2882, 3523, 15533, 13159, 149311, 705, 6, 5, 6, 5, 6, 5, 2451, 1470, 75230, 4667, 6319, 54260, 1211, 1470, 33809, 214766, 100436, 42493, 6, 4, 119055, 29060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22753, 2808, 6, 238144, 7511, 61397, 24377, 22426, 3523, 54260, 85744, 8009, 33809, 2808, 6319, 33809, 4484, 42493, 230764, 51328, 4113, 38596, 54260, 146887, 6, 4, 6319, 33809, 4484, 1470, 75230, 156325, 6, 124470, 171665, 1644, 14303, 5332, 6, 5, 4838, 4838, 21847, 33809, 4484, 64044, 124724, 6, 4, 6, 148346, 54260, 2808, 6, 148222, 119055, 6093, 16932, 39484, 31467, 8580, 220224, 2808, 7746, 3523, 15533, 76632, 13497, 5332, 3523, 75230, 141943, 710, 142170, 35189, 3069, 31467, 7746, 4838, 506, 54260, 2050, 1468, 758, 148346, 14004, 4838, 21733, 54260, 119132, 78104, 31249, 6, 4, 230764, 49027, 4944, 12483, 8947, 6, 148346, 2442, 35596, 4838, 16580, 119718, 23269, 21106, 98229, 22426, 1644, 6, 4, 7265, 1470, 54260, 1211, 4838, 45629, 22426, 6235, 13982, 54260, 146887, 19302, 54260, 119132, 10339, 54260, 6093, 6, 4, 4838, 710, 56169, 4231, 65482, 22426, 35189, 6, 148346, 13845, 13278, 13720, 1470, 33809, 5666, 6, 210674, 6, 5, 6, 5, 6, 5, 35189, 220224, 61397, 3056, 1751, 2884, 5035, 615, 1470, 33809, 5666, 116, 2819, 24857, 6, 54260, 8903, 1211, 41764, 1751, 12483, 7508, 54260, 23822, 3056, 6, 29171, 33809, 2702, 12483, 10339, 33809, 1211, 19302, 54260, 2882, 2819, 7369, 6655, 10339, 33809, 1211, 7746, 6, 23173, 137377, 6235, 4113, 26612, 26612, 16562, 5332, 6, 76776, 165592, 54260, 23269, 1470, 75230, 148346, 6093, 105235, 27855, 123073, 6, 148346, 93238, 448, 6, 4, 7746, 9934, 21660, 186797, 41764, 54260, 2050, 6, 147502, 109316, 5332, 137377, 145813, 20961, 141943, 24295, 10676, 60980, 22426, 230764, 6, 148346, 54260, 20315, 364, 104274, 6, 4, 364, 15907, 6, 12483, 39384, 22426, 112216, 1211, 210674, 6, 4, 6, 94114, 1470, 33809, 2865, 16870, 71512, 62400, 850, 6, 5, 6, 5, 21733, 54260, 2882, 182731, 4269, 7265, 1285, 116, 119055, 20961, 16932, 6, 4, 220224, 49008, 4838, 710, 56169, 112216, 54260, 710, 12483, 4852, 54260, 23269, 76961, 6235, 2648, 167622, 12483, 6, 4, 2205, 10184, 25391, 6235, 29659, 158291, 6, 4, 6, 5, 27855, 4113, 148346, 8580, 4838, 33809, 2882, 4838, 8580, 1644, 33809, 23741, 6, 4, 41764, 20961, 220224, 23269, 1470, 75230, 129891, 6, 4, 1285, 116, 119055, 20961, 16932, 6, 4, 220224, 6, 80453, 171428, 6, 54260, 2882, 41764, 33809, 15907, 112907, 6, 4, 220224, 6, 148346, 34882, 2884, 70845, 6, 148346, 54260, 2050, 68889, 10918, 1211, 6, 5, 6, 5, 6, 5, 155, 119718, 710, 162726, 62067, 77188, 18225, 7746, 1470, 75230, 2702, 705, 5, 105884, 2882, 7369, 7265, 4838, 905, 26612, 5332, 4838, 2808, 75230, 6235, 7916, 13497, 18225, 4838, 159696, 2932, 4838, 21847, 54260, 107581, 6, 23173, 91595, 4113, 6, 159696, 2932, 116, 119055, 2808, 33809, 23050, 22426, 106559, 24295, 132, 2882, 16932, 32054, 54260, 16747, 16, 6, 54260, 29789, 2451, 953, 292, 71577, 13845, 6, 219552, 6, 4, 4838, 29771, 16583, 6, 4, 1054, 46646, 5950, 20033, 6235, 148346, 12483, 4838, 21733, 148346, 4113, 6, 48904, 33809, 18415, 5332, 8632, 705, 47709, 33809, 23050, 22426, 41595, 18225, 4838, 2932, 33809, 146887, 32054, 54260, 16747, 705, 6, 5, 1468, 710, 119718, 2808, 33809, 6235, 7916, 13497, 18225, 705, 106, 4, 3056, 24857, 42493, 24012, 25207, 3131, 10339, 33809, 1211, 20033, 705 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]