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
[ 4151, 1470, 75230, 75578, 3131, 16932, 131397, 16932, 170479, 3069, 6093, 29659, 6, 23173, 75230, 2702, 4, 92500, 4151, 113889, 4667, 6, 23173, 75230, 6293, 13342, 40611, 36324, 4151, 130170, 3131, 16932, 131397, 16932, 170479, 6, 23173, 75230, 2702, 5, 4151, 14004, 13458, 161459, 16175, 54260, 1644, 3120, 6, 75290, 149364, 1644, 107776, 6, 23173, 75230, 2702, 657, 54260, 40920, 5, 21847, 54260, 4667, 125523, 10676, 163139, 2181, 27702, 238144, 4852, 2882, 7746, 4151, 6319, 137377, 4, 170479, 1470, 54260, 59461, 3069, 147713, 12483, 220224, 1211, 506, 84577, 40653, 10676, 7038, 16932, 1644, 54260, 1982, 2200, 170479, 8947, 6, 113889, 4944, 7201, 39083, 8903, 1211, 6, 159696, 46244, 35596, 95455, 21374, 50856, 159696, 33716, 160751, 75230, 25207, 1211, 5, 4151, 145813, 52541, 3120, 7038, 16932, 1644, 54260, 1982, 170479, 18225, 364, 21106, 96986, 2205, 4151, 364, 84577, 4, 35189, 4269, 90848, 75578, 6, 223390, 6093, 230764, 21776, 2050, 10339, 29771, 35189, 105235, 1211, 16175, 54260, 1644, 4, 2200, 1285, 6, 223390, 6093, 170479, 12483, 6, 23173, 33104, 16932, 13982, 7682, 12483, 73784, 22444, 165354, 1982, 54260, 1211, 4, 78278, 14856, 145813, 54196, 10676, 564, 54260, 1211, 7265, 1285, 145813, 45631, 6, 223390, 6093, 5, 2808, 75230, 1982, 8947, 3056, 42493, 56170, 47351, 6319, 54260, 1211, 564, 137119, 17310, 2200, 95455, 7038, 16932, 1644, 54260, 1982, 43449, 54260, 47332, 506, 23173, 2882, 2200, 45521, 16803, 130170, 7508, 6093, 364, 84577, 4, 170479, 18225, 2181, 42493, 874, 59929, 165592, 153796, 12483, 4, 2200, 13159, 6, 212484, 12483, 3069, 22444, 506, 5, 2808, 75230, 1982, 8947, 119055, 77188, 6, 113889, 4944, 8903, 212484, 12483, 2200, 6, 238144, 4667, 4, 2200, 2181, 107776, 6, 68558, 4838, 564, 137119, 17310, 4, 170479, 2648, 120467, 7038, 16932, 1644, 54260, 1982, 874, 59929, 165592, 3131, 54196, 119055, 6093, 12483, 37729, 364, 21106, 96986, 1285, 364, 84577, 2205, 4151, 117902, 30473, 42180, 163139, 8947, 3056, 81444, 4151, 87311, 13497, 6235, 119718, 29766, 12483, 4, 2200, 1470, 54260, 50856, 54260, 1982, 12483, 10676, 564, 75230, 4667, 22444, 16747, 23173, 14088, 40653, 10676, 7038, 16932, 1644, 54260, 1982, 5, 2808, 75230, 1982, 8947, 6, 186145, 23741, 4838, 564, 137119, 17310, 125523, 21776, 2050, 6235, 30750, 46244, 12483, 3120, 7508, 6093, 620, 5594, 4, 170479, 18225, 8903, 13458, 75230, 4944, 12483, 1285, 207013, 14856, 97634, 20315, 9747, 120202, 13342, 506, 21106, 96986, 1285, 564, 137119, 17310, 5, 1470, 75230, 1982, 1285, 564, 137119, 17310, 3056, 1470, 75230, 101608, 8903, 159696, 506, 5666, 32792, 1751, 57277, 24152, 4, 170479, 18225, 1470, 75230, 92904, 20616, 12483, 17824, 75230, 36419, 364, 23173, 18415, 75578, 3120, 55242, 46244, 6319, 21106, 96986, 119055, 59929, 6093, 2200, 3069, 147713, 12483, 73784, 11211, 194734, 93509, 96986, 16175, 54260, 1644, 3120, 564, 75230, 4667, 4, 92500, 3069, 4151, 1470, 54260, 6093, 6093, 220224, 2882, 3120, 1285, 364, 42733, 96986, 5, 95766, 133190, 101296, 28726, 10339, 21106, 12483, 119055, 29060, 95455, 6, 113889, 4944, 8903, 28317, 2882, 19532, 75230, 2702, 2205, 6, 26394, 42023, 78278, 29434, 54260, 2702, 18640, 3131, 119718, 48904, 61397, 95494, 23741, 2200, 21374, 5666, 109636, 2882, 129176, 130988, 2882, 5, 34654, 32054, 75230, 119055, 29060, 145813, 9221, 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, 657, 54260, 40920, 12483, 119055, 20616, 97634, 2932, 6, 159696, 46244, 35596, 95455, 7038, 16932, 1644, 54260, 1982, 657, 75230, 23741, 163139, 35189, 1470, 54260, 1211, 5, 3069, 4151, 39293, 1644, 75578, 9424, 54260, 2882, 170479, 4151, 6, 23173, 75230, 51437, 13845, 59919, 9424, 23173, 97634, 75578, 45521, 16803, 29434, 7682, 12483, 7265, 4151, 364, 84577, 40653, 10676, 564, 75230, 4667, 5, 1470, 75230, 1982, 1285, 4113, 39293, 56170, 46464, 4944, 12483, 3120, 4151, 32054, 75230, 2200, 6, 23173, 75230, 51437, 13845, 59919, 220224, 49008, 42493, 6, 195054, 109226, 4, 170479, 1285, 32054, 75230, 1470, 75230, 2702, 119718, 23173, 96986, 234917, 165284, 16747, 12483, 4, 1470, 75230, 1982, 3523, 75230, 15231, 2932, 4, 78278, 4151, 81444, 20911, 29766, 119055, 29060, 132025, 104378, 5, 32670, 2882, 6319, 54260, 5666, 2865, 39083, 42493, 564, 54260, 2050, 167048, 7682, 13845, 40611, 6, 23173, 75230, 2702, 13342, 3131, 28726, 109636, 1211, 1285, 44917, 200117, 8903, 28317, 2882, 5, 159696, 1211, 95455, 6, 113889, 4944, 8903, 28317, 2882, 3056, 6, 23173, 75230, 2702, 2200, 1285, 620, 54260, 25559, 54260, 2882, 71804, 4667, 43449, 54260, 1982, 12483, 125523, 21106, 7611, 2205, 7038, 16932, 1644, 54260, 1982, 4, 23050, 506, 63532, 6, 68558, 564, 54260, 2050, 6, 113889, 4944, 8903, 28317, 2882, 7265, 4151, 364, 84577, 2200, 6, 32670, 2882, 39293, 46244, 6, 195054, 59929, 12483, 40611, 36324, 1285, 364, 54260, 2882, 71804, 4667, 170479, 12483, 7746, 42493, 40653, 2442, 54260, 2702, 12483, 2200, 43449, 54260, 1982, 12483, 2808, 24295, 159696, 110317, 5, 6, 75322, 39083, 42542, 18225, 132025, 4944, 71577, 12483, 95455, 44917, 200117, 8903, 28317, 2882, 2200, 8947, 29434, 20616, 12483, 2200, 13982, 20616, 12483, 78278, 1285, 364, 54260, 2882, 71804, 4667, 119055, 109316, 1211, 3069, 235210, 141847, 6093, 25207, 506, 2882, 119055, 6093, 12483, 2205, 4838, 167048, 7682, 13845, 4, 92500, 36324, 75230, 4838, 68550, 1470, 75230, 114349, 54260, 20315, 1211, 36324, 220224, 170479, 12483, 120202, 8903, 121865, 12483, 119055, 6093, 12483, 5, 6, 212484, 2882, 9213, 46685, 20315, 2050, 81444, 20911, 29766, 130170, 46464, 4944, 12483, 95455, 44917, 200117, 8903, 28317, 2882, 2200, 1285, 364, 54260, 2882, 71804, 4667, 5, 17645, 56169, 7508, 54260, 110317, 2882, 4838, 68550, 1285, 7038, 16932, 2819, 17190, 98833, 6, 23173, 75230, 6293, 4838, 6, 82576, 15350, 15533, 9221, 18415, 67826, 39340, 21295, 31212, 40653, 10676, 74806, 1644, 91595, 16803, 54260, 1644, 2819, 12023, 16747, 2882, 45521, 16803, 4838, 68550, 10676, 564, 75230, 4667, 4, 9747, 95455, 119718, 710, 14856, 12023, 16747, 2882, 120202, 1285, 6, 113889, 109636, 139962, 104985, 11556, 16932, 1644, 54260, 1982, 170479, 43449, 54260, 1982, 12483, 2190, 13497, 12483, 4, 2200, 4838, 137, 117687, 26612, 710, 83182, 155, 15, 26612, 564, 183512, 165592, 3131, 4838, 141356, 46598, 7265, 13845, 21066, 54260, 3131, 16, 40653, 10676, 200795, 1211, 564, 183512, 165592, 3131, 4, 2200, 67882, 40920, 9213, 46244, 564, 92605, 159696, 119718, 710, 3069, 27702, 8903, 42023, 7746, 7265, 10676, 192544, 21847, 54260, 4667, 125523, 10676, 163139, 95455, 192544, 3056, 160751, 75230, 25207, 1211, 6235, 119718, 29766, 12483, 4, 170479, 107020, 710, 89930, 151614, 1982, 12483, 1285, 1470, 75230, 184537, 710, 40920, 40653, 10676, 5, 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 ]
[ 170479, 34076, 54260, 4667, 132025, 7201, 26612, 183216, 6, 64260, 506, 4113, 51723, 4, 2200, 1470, 75230, 1982, 10069, 32887, 2865, 80453, 4113, 40096, 14303, 3120, 21422, 46685, 2200, 364, 21106, 96986, 8947, 2205, 1285, 364, 35596, 45223, 23741, 42493, 4, 170479, 51723, 95455, 192544, 364, 21106, 96986, 7265, 1285, 6, 131445, 6, 23173, 75230, 6293, 2200, 2181, 112216, 153222, 1211, 4, 95298, 14856, 65146, 2648, 120467, 192544, 45521, 16803, 364, 21106, 96986, 5, 1470, 75230, 1982, 3523, 75230, 15231, 2932, 4, 42542, 18225, 1470, 75230, 2702, 119718, 9221, 165354, 6319, 171127, 149010, 1211, 64260, 506, 4113, 51723, 37729, 1470, 54260, 91275, 75230, 8903, 1211, 95455, 6, 75290, 149364, 1644, 36324, 75230, 36324, 95455, 9721, 34533, 13845, 170479, 119055, 6093, 12483, 13342, 235210, 43178, 8903, 13982, 93449, 5, 95455, 170479, 6235, 23093, 2884, 119055, 6093, 12483, 4838, 9424, 119718, 26612, 109985, 874, 39083, 4838, 238419, 5, 1470, 75230, 46104, 120467, 45223, 23741, 1470, 75230, 4667, 42493, 4, 170479, 18225, 95455, 192544, 1470, 54260, 50778, 20260, 12483, 44917, 200117, 208048, 2648, 2205, 119055, 48904, 13159, 69355, 364, 54260, 2702, 12483, 2200, 6319, 21106, 96986, 119055, 59929, 6093, 4, 95298, 3069, 6093, 29659, 65146, 18225, 56170, 152440, 109636, 1211, 95455, 4015, 47921, 432, 6, 5, 19, 219, 1771, 1076, 2451, 42, 5, 71, 102, 5, 128222, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 8903, 30750, 506, 93509, 23822, 7682, 13845, 5, 1470, 75230, 1982, 1285, 7038, 16932, 2200, 48494, 203232, 192544, 220224, 49008, 2205, 221067, 1211, 3069, 29659, 183512, 4, 68313, 216333, 1470, 75230, 2702, 119718, 23173, 96986, 4838, 6, 26394, 42023, 84475, 9424, 159696, 108968, 238419, 1470, 54260, 35189, 14856, 56170, 12890, 16747, 226112, 2702, 167048, 7682, 13845, 4, 9747, 48494, 203232, 21374, 50856, 170479, 116486, 7916, 2882, 9221, 12483, 3120, 10676, 564, 137119, 199145, 8947, 6, 150839, 186955, 3120, 10676, 44917, 200117, 8903, 28317, 2882, 5, 7201, 23173, 152440, 22426, 2882, 7508, 120467, 160751, 20616, 93509, 23822, 7682, 13845, 101251, 8903, 55823, 46244, 4838, 364, 21106, 1982, 12483, 22639, 48253, 6, 238144, 2882, 69355, 6, 75290, 149364, 7265, 6, 82576, 15350, 15533, 54196, 12483, 32887, 22426, 4, 2200, 67882, 40920, 4838, 9424, 238144, 96986, 136645, 22426, 1470, 54260, 1211, 14004, 50778, 6, 238144, 16932, 3120, 21776, 2050, 200795, 1211, 4, 2200, 4151, 113889, 4667, 9915, 54260, 2648, 2882, 40653, 7265, 4838, 6, 82576, 15350, 15533, 9221, 16932, 6, 63188, 9424, 238144, 12483, 34654, 9424, 238144, 136645, 109636, 1211, 5, 10498, 54196, 6, 68558, 48494, 203232, 40653, 8903, 90536, 1982, 65482, 1751, 46545, 13845, 7265, 6, 21106, 88660, 506, 39083, 2200, 564, 104274, 165592, 54260, 33716, 7265, 4838, 6, 82576, 15350, 15533, 54196, 12483, 564, 183512, 165592, 3131, 5, 48494, 203232, 21374, 50856, 170479, 160238, 30473, 40920, 18640, 6, 61397, 54260, 110317, 2882, 119055, 6093, 12483, 7265, 4838, 33718, 4667, 2200, 3373, 119718, 15907, 2808, 75230, 1644, 4, 2200, 170479, 45521, 16803, 4838, 144532, 8903, 1982, 88917, 12483, 119055, 6093, 12483, 5, 10069, 125523, 1982, 26612, 506, 183512, 1644, 17310, 3120, 4151, 7038, 16932, 24621, 170479, 1470, 54260, 6093, 151614, 1982, 12483, 3069, 7508, 6093, 364, 84577, 4838, 3373, 4667, 6235, 88660 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4944, 18415, 119055, 59929, 6093, 5, 125523, 6, 63188, 6093, 27702, 159696, 2932, 17310, 3120, 1285, 6235, 35189, 448, 84475, 7508, 6093, 179096, 1211, 4, 170479, 18225, 6, 23173, 75230, 67854, 21292, 12483, 4838, 203326, 13845, 119055, 59929, 6093, 40653, 1285, 27702, 186145, 55823, 152848, 16175, 54260, 1644, 12483, 2200, 3069, 20315, 165354, 7265, 4838, 7508, 54260, 119132, 15231, 4944, 13845, 5, 204982, 1470, 54260, 1211, 4838, 2190, 129891, 6319, 59929, 205416, 2808, 75230, 1644, 177274, 744, 84475, 4039, 165284, 16747, 12483, 125523, 25207, 2050, 6235, 30750, 46244, 12483, 5, 1285, 6235, 25207, 16847, 178748, 12483, 6235, 506, 21106, 96986, 119055, 6093, 12483, 123736, 55823, 1211, 37729, 65902, 82576, 2702, 4, 29771, 35189, 4838, 6, 23093, 4113, 109316, 59919, 4113, 137, 23173, 29771, 107182, 7682, 115222, 106504, 123073, 2004, 125523, 7508, 6093, 184639, 7508, 54260, 110317, 17310, 5, 12415, 145813, 54260, 4852, 170479, 220224, 1211, 4838, 147582, 2702, 71512, 6, 159696, 46244, 35596, 21776, 1982, 200795, 1211, 166464, 152, 6235, 4852, 54260, 77188, 48350, 905, 109636, 1211, 4, 6, 78683, 710, 46598, 4, 7544, 66317, 4, 1470, 5, 7508, 5, 4269, 5, 2819, 34654, 160238, 2932, 65482, 29434, 54260, 7916, 6093, 193012, 170479, 1285, 3131, 22426, 54260, 4852, 220224, 1211, 4838, 6, 238144, 107581, 4, 2200, 3120, 6428, 47351, 6, 68558, 178748, 18225, 132025, 506, 75230, 1982, 12483, 160751, 12483, 67882, 21087, 159696, 25207, 3131, 22426, 54260, 4852, 4, 95298, 14856, 170479, 1470, 75230, 114349, 54260, 20315, 1211, 36324, 13845, 107581, 145813, 54260, 4852, 4, 199145, 14856, 6, 238144, 2702, 36324, 22753, 119055, 29060, 7201, 23173, 63864, 170355, 4944, 12483, 30109, 63593, 55823, 1211, 2205, 564, 75230, 4667, 3120, 192544, 5, 12415, 7038, 16932, 170479, 56170, 17160, 54260, 1982, 12483, 2205, 564, 29060, 6, 26394, 42023, 193012, 5, 10676, 29434, 710, 96986, 166464, 170479, 30473, 657, 17645, 8903, 1211, 101251, 8903, 55823, 46244, 4838, 4231, 34079, 152848, 193012, 32792, 230764, 9213, 46244, 564, 75230, 4667, 4, 40611, 3069, 45223, 55823, 1211, 2442, 6093, 6, 76776, 29631, 98252, 199511, 1285, 6, 29766, 119859, 49008, 230764, 220224, 123073, 7369, 16932, 5, 14856, 170479, 22753, 119055, 48904, 12483, 7265, 220224, 6293, 4, 2200, 1470, 54260, 50856, 54260, 1982, 12483, 7265, 6, 21106, 88660, 506, 39083, 236512, 9213, 46244, 564, 92605, 159696, 94790, 4944, 4484, 54260, 2882, 5, 8300, 54260, 18415, 5666, 238144, 4852, 178748, 18225, 160751, 12483, 4838, 364, 54260, 1982, 12483, 33718, 4667, 73784, 22444, 165354, 4, 2200, 1470, 54260, 50856, 54260, 1982, 12483, 10676, 55049, 12483, 2200, 34654, 6, 131445, 5, 14856, 65146, 1470, 75230, 7201, 22426, 59929, 12483, 230764, 9213, 46244, 32887, 2865, 149364, 40096, 14303, 4, 199145, 170479, 3131, 75230, 1211, 163139, 35189, 133190, 2865, 21106, 220224, 1211, 73784, 29434, 710, 96986, 84475, 10184, 6093, 96986, 166464, 5, 1470, 75230, 1982, 9213, 46244, 32887, 2865, 149364, 40096, 14303, 3056, 95298, 17288, 104238, 3120, 4151, 133190, 101296, 44478, 4, 170479, 18225, 22444, 55823, 1211, 4838, 7508, 218241, 205416, 5, 4484, 71577, 15907, 13845, 4520, 2648, 120467, 192544, 2648, 120467, 3523, 54260, 8903, 1982, 75230, 2442, 65482, 192544, 3056, 6235, 119718, 21292, 42493, 6319, 54260, 1211, 97816, 59461, 6235, 8903, 110970, 57277, 50856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 110856, 12666, 1285, 7038, 16932, 119055, 39083, 2882, 8947, 6235, 192575, 2882, 3069, 8903, 1982, 12483, 119055, 39083, 2882, 22753, 6235, 39293, 42023, 95455, 192544, 2205, 20315, 2050, 6, 87311, 96302, 3120, 6235, 30750, 46244, 12483, 4, 1470, 54260, 35189, 8947, 119055, 77188, 1470, 144532, 61397, 54260, 110317, 2882, 4, 119055, 12483, 8947, 3056, 76776, 2702, 2200, 14856, 46244, 159696, 7511, 61397, 3069, 8903, 2648, 87442, 7265, 4838, 564, 165592, 29771, 83182, 6093, 6, 238144, 101608, 4, 119055, 92605, 2702, 161459, 3131, 97634, 6293, 199145, 22444, 23741, 7746, 137, 159696, 164863, 116367, 115222, 36419, 120467, 4113, 2909, 4838, 7972, 119718, 1470, 75230, 1644, 84475, 6, 47351, 4838, 83182, 2808, 75230, 1644, 119055, 29060, 45223, 55823, 1211, 3069, 3131, 5666, 54260, 20315, 1211, 1285, 6, 238144, 2702, 149010, 1751, 97634, 6293, 4, 199145, 14856, 42542, 1751, 75230, 1211, 6428, 47351, 137377, 119718, 40697, 1211, 4, 36324, 75230, 36324, 95455, 6, 75290, 149364, 1644, 170479, 43449, 54260, 1982, 12483, 34076, 40096, 2200, 7508, 54260, 1211, 5, 44064, 125523, 20315, 2050, 163139, 95455, 192544, 3056, 132025, 8903, 23093, 2884, 42542, 18225, 1470, 75230, 4667, 42493, 6, 225975, 12483, 36324, 8947, 170479, 220224, 1211, 14004, 73375, 2932, 97816, 1211, 5, 95298, 6, 226112, 155, 1211, 10676, 657, 17645, 47332, 8947, 1285, 7038, 16932, 2200, 22753, 163139, 1644, 163139, 2702, 12483, 2808, 75230, 1982, 8947, 3056, 137, 39083, 48775, 15907, 2909, 26612, 203013, 3523, 54260, 8903, 1982, 75230, 6093, 12483, 192544, 6, 94741, 63020, 220224, 1211, 22444, 16747, 2200, 45521, 2882, 2200, 151614, 1982, 12483, 4838, 55242, 46244, 238144, 107581, 4, 9424, 23173, 18415, 364, 75230, 2882, 5, 1285, 81444, 30473, 8903, 6, 238144, 4944, 4484, 54260, 2882, 107776, 3120, 4838, 10339, 54260, 119132, 6, 109636, 4667, 40653, 20315, 2050, 6, 75290, 149364, 1644, 4, 199145, 14856, 55242, 506, 2882, 6319, 119718, 448, 6, 68558, 4, 95298, 199145, 3056, 56170, 47351, 6, 75322, 39083, 2205, 26612, 364, 16011, 86733, 874, 120467, 5, 1285, 364, 75230, 2882, 3056, 3120, 4838, 27702, 29659, 710, 63532, 7508, 75230, 2882, 149010, 1211, 6319, 39083, 9221, 2819, 2200, 5666, 29766, 119055, 12483, 95455, 192544, 3056, 6319, 186955, 84475, 6319, 48775, 20260, 119055, 77188, 1285, 364, 75230, 2882, 6235, 21066, 87442, 2200, 17160, 75230, 32792, 5, 115222, 21295, 3056, 1285, 364, 75230, 22426, 2882, 34482, 170355, 107581, 4151, 69355, 4, 6, 238144, 1644, 95455, 192544, 37826, 55242, 46244, 159696, 110317, 163139, 2882, 21106, 131044, 2205, 56170, 21847, 54260, 4667, 7265, 6, 47351, 7369, 119718, 92605, 2702, 114436, 6, 149364, 4852, 68558, 5, 10069, 133190, 101296, 28726, 6235, 119718, 710, 40920, 3056, 3120, 22753, 4113, 1982, 12483, 78278, 22753, 4113, 1982, 12483, 2200, 4838, 364, 21106, 1982, 37640, 13497, 4, 4944, 64260, 3131, 1470, 54260, 7511, 8903, 51678, 220224, 1211, 657, 54260, 4944, 16932, 4, 2200, 221895, 6235, 119718, 710, 40920, 161459, 5, 1285, 657, 141847, 3120, 16580, 16747, 3056, 101251, 8903, 55823, 46244, 3523, 54260, 57619, 20616, 1211, 4, 84475, 9424, 119718, 26612, 109985, 22639, 153222, 2702, 5, 177274, 2702, 21374, 50856, 159696, 195164, 6235, 119718, 710, 40920, 3056, 9424, 119718, 40697, 1211, 55242, 4944, 26394, 42023, 2200, 3069, 54260, 2200, 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 ]
[ 26612, 109985, 37640, 13497, 4, 3056, 1982, 26612, 236376, 4838, 75386, 133190, 2865, 21106, 5, 1470, 54260, 7511, 8903, 114955, 220224, 49008, 42355, 564, 54260, 2050, 160751, 75230, 25207, 1211, 119055, 6093, 12483, 4, 92500, 220224, 49008, 81444, 4667, 203013, 2200, 1751, 57277, 24152, 5, 159696, 1211, 95455, 192544, 119055, 77188, 6, 186955, 4838, 119055, 29771, 4667, 4, 119055, 77188, 4151, 7508, 75230, 16932, 6319, 39083, 9221, 6235, 192539, 96256, 75230, 6293, 4838, 6, 195054, 90536, 104238, 56170, 1982, 199145, 107776, 3120, 4838, 107189, 35189, 160238, 2050, 6235, 22849, 46464, 40920, 5, 95455, 68313, 4838, 6, 119859, 129891, 6235, 159696, 506, 5666, 149010, 7369, 3131, 54260, 3111, 23405, 2200, 119055, 77188, 42493, 27702, 236376, 4838, 75386, 4838, 30109, 48904, 15307, 75230, 2882, 5, 6, 159696, 46244, 35596, 4151, 184639, 119055, 29771, 4667, 10339, 186955, 6, 23173, 75230, 2702, 4151, 657, 48904, 61397, 6, 109636, 4667, 4, 2200, 3120, 35189, 364, 75230, 2882, 1751, 54260, 1644, 12483, 7746, 156104, 20260, 4113, 24377, 22426, 71804, 4667, 4, 4838, 6, 170355, 4667, 199145, 6428, 75230, 77188, 4838, 119055, 29771, 4667, 84475, 24621, 46244, 5, 1470, 54260, 35189, 95455, 192544, 119055, 77188, 9424, 238144, 119055, 29771, 4944, 12483, 6, 186955, 4, 56170, 3131, 119718, 710, 16747, 29060, 1285, 6235, 22849, 149010, 56170, 1982, 4, 2200, 1285, 364, 75230, 2882, 23050, 506, 63532, 163139, 35189, 6, 68558, 6, 17645, 119132, 114955, 3131, 12483, 6319, 39083, 9221, 3120, 119718, 120467, 18225, 3056, 36324, 75230, 6, 35596, 10918, 20911, 4, 2200, 199145, 133190, 1285, 199145, 151614, 1982, 12483, 7508, 120467, 6235, 39293, 42023, 4484, 171428, 151614, 1982, 12483, 4838, 27702, 68566, 6293, 4151, 69355, 5, 8947, 3056, 19302, 29766, 4, 6, 238144, 4667, 4, 2200, 7508, 75230, 4852, 88660, 1644, 54196, 4, 159696, 46244, 35596, 1285, 364, 35596, 71804, 4667, 4, 1285, 41764, 710, 40096, 13159, 2200, 564, 37016, 71804, 4667, 220224, 49008, 6, 29060, 119718, 120467, 7508, 75230, 2882, 149010, 2442, 5, 2648, 120467, 115222, 109636, 1644, 3120, 192544, 55242, 506, 2882, 1470, 75230, 2702, 3069, 220224, 1211, 1470, 75230, 101608, 116486, 22426, 29766, 42180, 7265, 10676, 75290, 149364, 1644, 4, 6, 238144, 1644, 2181, 3056, 64699, 36324, 75230, 17824, 75230, 2702, 163139, 7508, 120467, 4269, 48904, 26394, 6, 75290, 149364, 1644, 123736, 42023, 1285, 131445, 71804, 4667, 5, 34076, 54260, 4667, 125523, 4151, 6235, 28317, 2882, 4, 40653, 506, 75230, 22426, 2882, 1470, 75230, 1982, 8947, 37826, 6235, 2648, 75230, 77188, 92500, 3056, 132025, 130991, 1751, 159696, 2442, 32792, 4, 3056, 18225, 6, 75322, 39083, 7369, 29659, 75230, 13497, 3120, 4151, 1470, 75230, 101608, 8903, 159696, 506, 5666, 149010, 2442, 160238, 2050, 3120, 115222, 109636, 1644, 2819, 95298, 2205, 4838, 58571, 89930, 9424, 54260, 2882, 4838, 68550, 564, 92605, 177148, 13159, 163139, 35189, 1285, 6, 120749, 93975, 160238, 2050, 5, 1065, 131518, 268, 109356, 4151, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 13159, 220224, 49008, 56170, 47351, 9424, 238144, 6, 238144, 107581, 7369, 16932, 230764, 21776, 2050, 115222, 109636, 1644, 4, 1470, 54260, 16667, 3120, 160238, 35596, 4, 2200, 48494, 203232, 9424, 238144, 18415, 3120, 2190, 13497, 12483, 5, 4151, 6, 238144, 75578, 6, 99766, 34076, 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 ]
[ 4667, 7508, 7682, 159696, 33716, 2702, 69355, 21776, 2050, 1751, 16932, 12483, 3056, 7508, 6093, 17824, 4113, 75578, 6093, 3120, 1285, 9424, 238144, 4, 2200, 1285, 7038, 16932, 170479, 7746, 3373, 109636, 42180, 1644, 160238, 30473, 40920, 18640, 27702, 23269, 42023, 4151, 144754, 5, 4151, 6, 99766, 3056, 6, 29060, 119718, 120467, 10184, 6093, 37016, 18640, 4, 2200, 94741, 63020, 220224, 1211, 101251, 8903, 55823, 46244, 6, 47351, 22639, 48253, 1285, 17824, 75230, 2702, 564, 54260, 2050, 6235, 28317, 2882, 5, 8947, 6, 205416, 42493, 4852, 54260, 1211, 55242, 46244, 1470, 54260, 23405, 73381, 21106, 12483, 4, 2200, 1470, 75230, 4667, 42493, 3069, 116486, 117397, 35596, 5, 2648, 120467, 3523, 54260, 8903, 1982, 75230, 2442, 65482, 192544, 37826, 874, 48904, 107581, 874, 39083, 4838, 11211, 56703, 6, 203326, 13845, 364, 29766, 230764, 20315, 2050, 115222, 109636, 1644, 5, 4151, 17824, 13159, 16932, 16175, 54260, 1644, 3120, 220224, 10339, 186955, 95298, 1470, 75230, 2702, 2205, 4838, 58571, 26394, 29025, 54260, 2882, 4838, 68550, 5, 1285, 23050, 195054, 220224, 49008, 1751, 75230, 1211, 1470, 75230, 2702, 8903, 119718, 92605, 2702, 12483, 564, 54260, 2050, 160751, 75230, 25207, 1211, 4, 2200, 17824, 54260, 4944, 12483, 78278, 1285, 145813, 54260, 1211, 6, 223390, 6093, 71804, 4667, 5, 159696, 46244, 35596, 4151, 184639, 119055, 29771, 4667, 2200, 123736, 23741, 2865, 39083, 78278, 10676, 29434, 710, 96986, 874, 232187, 2882, 4, 7201, 23173, 87311, 13497, 10676, 21374, 50856, 26, 2050, 9424, 23174, 13845, 4838, 6, 238144, 2702, 32792, 364, 54260, 18415, 1644, 40653, 4151, 1470, 75230, 75578, 7201, 71804, 107581, 5, 95455, 3056, 42493, 6319, 54260, 1211, 3373, 15289, 3120, 56170, 2442, 54260, 2808, 17310, 2702, 3131, 16932, 17310, 4, 133190, 42542, 84087, 54260, 40920, 104378, 3120, 16175, 55049, 135118, 54260, 2882, 3120, 874, 75230, 1644, 4, 2200, 3120, 121193, 71577, 6093, 60837, 9183, 23269, 5, 35189, 9721, 71616, 78683, 80885, 1211, 3120, 192544, 3056, 6, 159696, 110317, 6, 35596, 119718, 125897, 21295, 2205, 56170, 21847, 54260, 4667, 7265, 25207, 2050, 6319, 137377, 4, 2200, 3056, 6, 29060, 119718, 120467, 19302, 54260, 59461, 2205, 101251, 25616, 54260, 4852, 5, 1285, 131397, 16932, 2702, 2200, 1285, 506, 42733, 96986, 220224, 49008, 10498, 39083, 4, 2200, 220224, 6093, 101251, 25616, 54260, 4852, 3056, 3069, 6093, 29659, 19302, 54260, 59461, 3120, 115222, 109636, 1644, 5, 2648, 120467, 564, 54260, 4944, 13845, 95298, 3056, 116486, 117397, 35596, 236512, 10676, 199145, 95455, 192544, 56170, 87311, 98833, 47351, 1470, 75230, 101608, 8903, 159696, 506, 5666, 32792, 17824, 75230, 36419, 17190, 75578, 564, 54260, 2050, 160751, 75230, 25207, 1211, 119055, 6093, 12483, 5, 1285, 364, 35596, 220224, 49008, 56170, 506, 13845, 2882, 12130, 24621, 2050, 18640, 58571, 1211, 4, 40653, 506, 75230, 22426, 2882, 1285, 6, 131445, 5, 177274, 7038, 16932, 170479, 6235, 20315, 20260, 12483, 36324, 73784, 132025, 506, 75230, 1982, 220224, 49008, 10676, 192544, 26, 2702, 6, 131445, 71804, 4667, 76961, 2865, 39083, 202731, 24621, 4, 95455, 506, 54260, 16803, 4, 220224, 55242, 42023, 1470, 75230, 2702, 30109, 14088, 5, 95455, 21374, 50856, 37826, 34654, 1470, 54260, 8903, 5666, 95494, 23741, 36324, 75230, 1470, 75230, 2702, 13342, 13982, 20616, 12483, 34654, 10184, 1982 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 71804, 4667, 4, 48494, 203232, 220224, 6, 104378, 7746, 3069, 235210, 12483, 5, 8947, 220224, 49008, 56170, 47351, 10339, 21106, 12483, 119055, 12483, 34654, 6, 131445, 17410, 4667, 220224, 49008, 54803, 19302, 73136, 22426, 18640, 4, 95298, 7508, 23173, 8580, 220224, 49008, 131397, 158548, 1285, 7201, 23173, 84316, 22426, 1644, 109226, 3120, 1285, 564, 54260, 59461, 2200, 1285, 6, 195054, 135118, 4113, 5, 95455, 6235, 30473, 40920, 3120, 4838, 3523, 54260, 8903, 1982, 75230, 25207, 1211, 192544, 4, 119055, 12483, 8947, 3496, 71577, 2882, 7746, 230764, 3120, 620, 29771, 6293, 4, 37826, 21776, 2050, 1470, 75230, 92904, 43082, 3120, 1982, 26612, 119718, 10705, 83182, 17310, 5, 7508, 6093, 1470, 75230, 92904, 43082, 3120, 22639, 18415, 7972, 8903, 129891, 3056, 133190, 4838, 1751, 54260, 91275, 23173, 6093, 5, 13159, 163139, 21295, 7746, 42493, 3069, 3131, 16932, 12483, 4151, 7038, 16932, 26, 2702, 170315, 4852, 17645, 6, 47351, 95455, 192544, 27702, 23847, 54260, 23741, 21106, 7611, 199145, 8947, 107776, 160238, 4, 36324, 8947, 4151, 4484, 35596, 34654, 7038, 16932, 4, 2200, 29434, 93449, 1470, 75230, 2702, 56170, 8903, 5666, 54260, 12483, 119055, 12483, 1285, 7038, 16932, 4151, 23269, 506, 13497, 7746, 5, 4151, 88771, 3056, 36324, 7508, 120467, 3523, 54260, 8903, 1982, 75230, 25207, 1211, 16580, 16747, 3056, 42493, 14856, 46244, 37922, 7916, 16747, 32792, 163139, 34654, 43449, 29060, 71804, 4667, 3120, 4838, 9424, 23173, 16932, 46654, 48904, 7611, 5, 95455, 16580, 16747, 67882, 40920, 6, 127827, 97634, 101296, 147502, 3069, 95455, 874, 54260, 1644, 4944, 13845, 2200, 163139, 98833, 4, 2200, 6, 238144, 2702, 42493, 4151, 69355, 5, 2442, 6093, 6319, 39083, 9221, 3120, 1285, 1470, 75230, 8903, 1211, 3056, 3069, 6093, 29659, 55242, 46244, 101251, 1982, 26612, 29659, 710, 63532, 5, 76961, 114955, 151614, 1982, 12483, 1470, 75230, 8903, 1211, 199145, 220224, 49008, 3120, 43449, 75230, 149010, 1211, 6319, 39083, 9221, 5, 1285, 6, 192539, 17310, 3120, 6, 88660, 7972, 45629, 75230, 6293, 45223, 6093, 84475, 230764, 33718, 20260, 13845, 6093, 107776, 160238, 3069, 7508, 6093, 55242, 13805, 16932, 84475, 4838, 4944, 16932, 119718, 29771, 4667, 5, 119055, 12483, 4838, 192544, 620, 29771, 23741, 4, 220224, 49008, 1285, 1470, 75230, 8903, 1211, 45521, 16803, 3069, 8903, 101296, 40920, 4, 2200, 4151, 2808, 75230, 92904, 43082, 3056, 3120, 6, 211630, 149010, 2442, 22444, 506, 5, 1285, 117902, 30473, 42180, 3120, 6, 75290, 149364, 1644, 3056, 3120, 17824, 215726, 168155, 2200, 10339, 39083, 29659, 186797, 6093, 44917, 200117, 8903, 212484, 135118, 54260, 2882, 5, 95455, 115222, 109636, 1644, 3056, 14856, 46244, 80885, 16667, 2808, 75230, 2702, 8903, 13982, 20616, 2882, 3069, 1470, 54260, 1211, 220224, 2882, 5, 95455, 6, 64260, 506, 4113, 51723, 6235, 506, 2882, 6, 68558, 101251, 46685, 92341, 23173, 4, 2200, 29771, 42023, 69529, 27702, 159696, 2932, 17310, 3120, 1285, 6, 113889, 4852, 192956, 2442, 5, 1285, 364, 35596, 71804, 4667, 119055, 6093, 12483, 6235, 159696, 506, 5666, 32792, 6235, 506, 21106, 96986, 6, 23173, 75230, 6293, 13342, 4, 17190, 1982, 12483, 6235, 30473, 40920, 4, 2200, 220224, 49008, 364, 21106, 1982, 3069, 8903, 101296, 40920, 5, 36324, 75230, 9915, 13845, 119718, 710, 8947, 3496, 71577, 2882, 7746, 230764, 364, 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 ]
[ 1982, 12483, 7746, 1285, 364, 35596, 32792, 2200, 6, 131445, 71804, 4667, 6, 68558, 27702, 159696, 8903, 1211, 5, 35189, 184639, 6, 129071, 3120, 4838, 3523, 54260, 8903, 1982, 75230, 25207, 1211, 192544, 3056, 3069, 6, 238144, 49008, 5, 6319, 54260, 1211, 4838, 83182, 21733, 48904, 2932, 3056, 42493, 36324, 75230, 132025, 2932, 65482, 56417, 56170, 10676, 81444, 20911, 29766, 163139, 4151, 74806, 101296, 75290, 6, 238144, 49008, 2648, 120467, 192544, 363, 8894, 69355, 10676, 19302, 54260, 7511, 20260, 12483, 6, 119859, 16803, 4, 6, 238144, 1644, 95455, 27702, 238144, 4852, 2882, 36324, 34654, 657, 109226, 119055, 13845, 4944, 48350, 54260, 49008, 78278, 7508, 47351, 6235, 159696, 1211, 2190, 188201, 15231, 2932, 4, 119055, 6093, 12483, 132025, 8903, 46590, 2882, 7265, 9181, 23741, 4, 2200, 119055, 6093, 12483, 18415, 15231, 2932, 4, 2200, 36324, 95455, 192544, 37826, 6235, 3111, 2932, 6319, 48775, 23741, 56170, 76961, 6, 218872, 46598, 3120, 220224, 1211, 5666, 54260, 46598, 17190, 1982, 12483, 5, 4151, 6, 238144, 49008, 107776, 4151, 69355, 199145, 1285, 9181, 23741, 3120, 6, 136108, 75230, 2702, 12483, 3056, 115222, 506, 44478, 4, 2200, 4151, 7201, 23173, 199145, 4151, 19302, 54260, 7511, 48253, 75290, 119055, 77188, 1751, 75230, 1211, 3120, 137765, 6, 68558, 27702, 506, 183512, 13845, 2882, 7265, 6, 29060, 119718, 120467, 119055, 76632, 61397, 9424, 123073, 87311, 7511, 13159, 5, 48494, 203232, 1470, 54260, 5666, 119718, 7682, 1644, 12483, 3056, 56170, 1470, 30682, 26612, 3523, 54260, 4113, 7369, 7201, 26612, 46244, 17310, 5, 4151, 6, 238144, 49008, 364, 77188, 230764, 119055, 12483, 81444, 2050, 192544, 3056, 1470, 54260, 5666, 8903, 119718, 125897, 21295, 2200, 119055, 77188, 6235, 212484, 12483, 3069, 22444, 506, 5, 3523, 54260, 8903, 1982, 75230, 2442, 65482, 114955, 6, 238144, 49008, 6319, 54260, 5666, 87311, 17410, 76216, 1211, 6, 47351, 34482, 170355, 107581, 4, 44064, 119055, 12483, 34654, 34482, 170355, 107581, 3056, 101251, 119718, 710, 40920, 24295, 5, 4151, 6, 238144, 49008, 3056, 26612, 19302, 29766, 6093, 2819, 1470, 75230, 1982, 42493, 4, 3056, 2181, 4838, 3373, 15289, 3120, 5332, 22426, 13159, 4838, 30109, 48904, 15307, 54260, 2882, 5, 4838, 4231, 17310, 192544, 212484, 2882, 6319, 54260, 5666, 2865, 39083, 42493, 6319, 54260, 23269, 46711, 6093, 12483, 4, 178748, 8947, 163139, 1751, 57277, 24152, 6, 238144, 49008, 5, 2442, 6093, 6, 64260, 506, 4113, 51723, 6, 159696, 46244, 35596, 54745, 1982, 620, 29771, 6293, 3056, 21776, 195054, 195164, 18640, 2819, 6, 159696, 46244, 35596, 1285, 119055, 26612, 107581, 196332, 165284, 16747, 12483, 3056, 8947, 60118, 65482, 1644, 195164, 18640, 5, 48494, 203232, 28415, 20911, 18225, 6, 159696, 46244, 35596, 1285, 6093, 105235, 9424, 159696, 108968, 874, 232187, 96986, 5, 95455, 21374, 50856, 364, 186955, 10676, 6, 64260, 506, 46598, 230764, 4838, 6, 238144, 28726, 4, 29771, 35189, 8947, 6, 64260, 506, 63593, 2882, 4838, 6, 238144, 28726, 9915, 13845, 4, 2200, 4151, 113889, 4667, 6, 71804, 23405, 235210, 6093, 5, 34654, 6, 90848, 30473, 8903, 6093, 3131, 54260, 5666, 109226, 220224, 49008, 101251, 119718, 710, 40920, 18640, 5, 4151, 6, 64260, 506, 4113, 51723, 78278, 10676, 41764, 89184, 142429, 3120, 7508, 54260, 42410, 54260, 2882, 3056, 3120, 564, 75230, 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 ]
[ 4838, 68550, 5, 48494, 203232, 27702, 32670, 2882, 7746, 230764, 22639, 5666, 71804, 4667, 36324, 75230, 163139, 230764, 21733, 45619, 86733, 15, 7916, 75578, 16, 6, 16932, 87311, 24621, 16932, 2865, 54260, 2442, 71804, 4667, 5, 125523, 21776, 2050, 163139, 1285, 874, 54260, 2648, 17410, 4667, 119055, 6093, 12483, 702, 78278, 423, 6, 101328, 46244, 6, 186955, 4, 3056, 4151, 64260, 506, 4113, 51723, 3120, 1470, 75230, 75578, 105235, 1211, 16175, 54260, 1644, 3120, 9721, 71616, 78683, 80885, 1211, 4, 163139, 2205, 32054, 75230, 12483, 5, 10069, 6235, 35189, 448, 220224, 49008, 123736, 55823, 1211, 1470, 54260, 16667, 84475, 9424, 238144, 874, 39083, 6, 159696, 46244, 35596, 21776, 2050, 200795, 1211, 97634, 2932, 3120, 10676, 21374, 50856, 26, 2702, 17190, 1982, 12483, 5, 4151, 120202, 7201, 21106, 3056, 1470, 75230, 101608, 8903, 159696, 506, 5666, 32792, 33718, 20260, 13845, 4, 103023, 2200, 19302, 4113, 22426, 18640, 5, 119055, 12483, 7508, 6093, 7038, 16932, 26, 2702, 7544, 66317, 364, 75230, 47332, 6, 68558, 147582, 2702, 12483, 21776, 195054, 195164, 18640, 4, 68313, 7508, 6093, 120202, 7201, 21106, 45223, 8903, 22849, 4, 6, 103023, 163139, 6, 44182, 4, 2200, 37826, 55242, 46244, 6, 159696, 110317, 6, 61397, 31212, 5, 119055, 12483, 2648, 120467, 192544, 3056, 203013, 42542, 8947, 220224, 1211, 123736, 55823, 1211, 133190, 1470, 54260, 16667, 84475, 9424, 238144, 874, 39083, 44064, 5666, 29766, 73784, 132025, 506, 75230, 1982, 74, 95298, 8947, 42542, 220224, 1211, 123736, 55823, 1211, 44064, 78278, 84475, 55242, 13805, 874, 39083, 2200, 4852, 39083, 81444, 4667, 42493, 564, 93704, 54260, 96986, 36324, 95455, 192544, 37826, 1285, 23173, 4113, 4113, 5, 10069, 179096, 1211, 3120, 4838, 203013, 192544, 55242, 506, 2882, 14856, 46244, 80885, 16667, 1470, 75230, 2702, 163139, 119055, 46646, 6093, 4, 3056, 7511, 2882, 1470, 75230, 22680, 4113, 8903, 16747, 4, 37826, 6, 159696, 110317, 6, 61397, 31212, 4, 2200, 6, 212484, 2882, 42493, 40653, 6319, 54260, 23269, 46654, 37016, 12483, 2808, 75230, 6293, 21776, 2050, 19024, 175323, 149364, 5, 3496, 64260, 3131, 6235, 159696, 506, 5666, 32792, 6, 212484, 2882, 48494, 203232, 192544, 1285, 83825, 5927, 1751, 75230, 1211, 10676, 6093, 105235, 1211, 166464, 4, 6, 186145, 23741, 95298, 6, 119859, 129891, 123736, 23741, 36324, 95455, 192544, 34482, 24295, 54196, 42493, 1285, 200795, 2357, 165284, 16747, 12483, 3120, 220224, 1211, 17190, 1982, 12483, 5, 1470, 75230, 1982, 48494, 203232, 192544, 3056, 564, 92605, 159696, 2050, 4, 6, 94741, 63020, 215031, 101251, 29659, 183512, 6319, 54260, 119132, 42493, 27702, 10705, 86212, 506, 93975, 1211, 5, 8947, 3056, 1751, 159696, 2442, 3069, 27702, 29659, 710, 51723, 163139, 10184, 13845, 2865, 39083, 4838, 192544, 170479, 6, 212484, 12483, 1285, 83825, 5927, 4, 6, 238144, 1644, 48494, 203232, 119055, 141943, 29060, 7746, 6, 68558, 4151, 32887, 2865, 149364, 40096, 14303, 3120, 4151, 9181, 23741, 2200, 3120, 4151, 874, 120467, 145813, 54260, 4852, 199145, 95455, 192544, 37826, 6, 139449, 5, 116397, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 35189, 190800, 117260, 2882, 3056, 119055, 26612, 46244, 54260, 24295, 32792, 3120, 305, 78278, 209, 874, 39083, 193012, 32792, 6, 4, 95298, 13159, 3056, 178748, 32792, 36324, 7508, 120467, 192544, 170479, 34482, 45619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25207, 1211, 4231, 123073, 4231, 34079, 152848, 2200, 170479, 81444, 4667, 220224, 1211, 7201, 29766, 15907, 186797, 203013, 5, 10069, 32887, 2865, 149364, 40096, 14303, 3120, 192544, 6, 94741, 63020, 42493, 23050, 171733, 12483, 119055, 6093, 12483, 32887, 5666, 54260, 4667, 4, 3373, 54260, 20315, 1211, 13159, 27702, 23269, 506, 63532, 7746, 874, 142429, 23269, 4, 2200, 220224, 1211, 364, 75230, 2882, 3056, 364, 54260, 2702, 5, 1285, 7038, 16932, 48494, 63020, 7746, 2808, 75230, 12890, 6093, 49008, 3069, 6235, 13458, 75230, 4944, 12483, 4838, 46050, 5666, 54260, 12483, 6, 16932, 87311, 24621, 16932, 5, 215031, 6, 16932, 87311, 24621, 16932, 119718, 39083, 2882, 564, 93704, 23173, 23741, 220224, 1211, 2205, 177274, 1211, 364, 75230, 4852, 4, 40611, 36324, 8947, 9934, 29766, 220224, 1211, 3069, 4151, 364, 84577, 2205, 7201, 21106, 3120, 4838, 30109, 48904, 15307, 54260, 2882, 5, 1285, 21422, 59919, 2702, 3120, 4838, 6, 16932, 87311, 24621, 16932, 220224, 49008, 4838, 203326, 13845, 3131, 159696, 2442, 32792, 73784, 17190, 104149, 56170, 1470, 54260, 119132, 199145, 3056, 42493, 6, 80453, 129071, 31623, 54196, 7508, 23173, 8580, 4, 95298, 144754, 4838, 203326, 13845, 7369, 7201, 26612, 46244, 17310, 42542, 18225, 7746, 1470, 75230, 2702, 44478, 49008, 5, 7508, 6093, 6, 16932, 87311, 24621, 16932, 170479, 13342, 6093, 29659, 4838, 15529, 194734, 95064, 23822, 54260, 2702, 77188, 119055, 6093, 12483, 78278, 1285, 6319, 159696, 215052, 9221, 75578, 364, 23173, 2882, 564, 54260, 9199, 23847, 93704, 5, 4151, 113889, 4667, 27702, 186565, 33716, 18225, 1285, 4269, 212484, 4, 2200, 14856, 6, 13497, 87442, 2181, 6, 23173, 54260, 1211, 2205, 4151, 87637, 194734, 93509, 16932, 6, 73381, 43178, 17310, 3120, 6, 75290, 149364, 5, 48494, 203232, 3056, 7508, 6093, 10213, 82576, 6, 99766, 73784, 6, 59461, 51723, 1285, 32887, 2865, 149364, 40096, 14303, 5, 14856, 42542, 2181, 1470, 75230, 4667, 23050, 46244, 12483, 130170, 10676, 6, 29766, 46598, 4, 95298, 7511, 2882, 2205, 874, 75230, 1644, 5, 34654, 32887, 2865, 149364, 40096, 14303, 3056, 133190, 2865, 21106, 564, 54260, 2510, 97995, 23173, 6, 159696, 46244, 35596, 21776, 25207, 93509, 16932, 119055, 29771, 4667, 4, 84475, 14856, 46244, 5, 1751, 109636, 16932, 6, 150271, 22753, 78278, 16193, 6, 29766, 6093, 10078, 4, 163139, 564, 54260, 2442, 6093, 119718, 92605, 4944, 65482, 14856, 110970, 12483, 5, 10069, 6, 35596, 75230, 21733, 17310, 3120, 10676, 192544, 21847, 7682, 54260, 104238, 238144, 39293, 364, 75230, 47332, 7508, 120467, 21374, 50856, 34076, 54260, 4667, 6, 68558, 3069, 119055, 34882, 4944, 12483, 5, 119055, 13845, 107581, 7038, 16932, 165354, 56170, 8903, 2702, 12483, 9213, 46244, 32054, 54260, 2648, 564, 54260, 2050, 200795, 1211, 9424, 54260, 50856, 123073, 4, 564, 54260, 2050, 200795, 1211, 81414, 2882, 4, 1982, 54260, 2050, 200795, 119055, 99766, 711, 4151, 119055, 10705, 13805, 107776, 160238, 6, 203326, 45629, 4944, 238144, 4852, 2819, 2200, 7508, 6093, 6, 90848, 4852, 161459, 119055, 10705, 13805, 2205, 6235, 119718, 710, 40920, 2200, 17824, 75230, 2702, 220224, 49008, 42493, 119055, 76632, 61397, 119055, 10705, 83182, 1982, 23173, 1470, 54260, 35189, 10069, 221895, 6, 75290, 149364, 149010, 1470, 54260, 8903, 7511, 26612, 23741, 12483, 5, 2181, 3056, 564, 165592, 29771, 83182, 2050, 117578 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 84577, 3069, 28415, 165354, 1285, 6, 35596, 119718, 710, 25616, 17310, 3120, 10676, 192544, 26, 2050, 56170, 15907, 183512, 4, 40653, 506, 75230, 22426, 96256, 75230, 1982, 14856, 56170, 105235, 506, 2882, 199145, 95455, 192544, 6, 238144, 16803, 2200, 199145, 5332, 4944, 6, 48775, 63020, 163139, 2702, 12483, 2205, 34654, 7201, 23173, 3131, 54260, 2648, 65482, 41764, 89184, 142429, 12483, 3120, 220224, 1211, 17190, 1982, 12483, 5, 2808, 75230, 101608, 21776, 2050, 119055, 10705, 13805, 4, 7369, 29771, 1982, 77188, 48494, 203232, 192544, 3523, 54260, 4113, 6, 170355, 4944, 12483, 2200, 1470, 54260, 23269, 7511, 26612, 23741, 12483, 4, 163139, 9424, 54260, 506, 59461, 4, 46711, 6093, 12483, 4, 3373, 54260, 905, 23269, 4, 2200, 34654, 45521, 87637, 20260, 54260, 2882, 3069, 6235, 42023, 101251, 8903, 506, 39083, 7201, 114436, 506, 54260, 2882, 2819, 2181, 6, 104378, 160238, 1470, 75230, 4667, 6, 238144, 16932, 4113, 6, 192539, 109226, 4, 6, 159696, 207650, 220224, 49008, 42493, 30473, 40920, 1982, 23173, 4, 163139, 6, 192539, 109226, 2205, 4151, 56170, 2648, 54260, 2808, 17310, 5, 119055, 12483, 48494, 203232, 192544, 119055, 77188, 160751, 75230, 25207, 1211, 4, 37826, 2181, 220273, 6, 159696, 110317, 46748, 54260, 506, 40653, 220224, 1211, 6, 75290, 149364, 2442, 5, 2181, 3944, 35596, 119055, 10705, 24621, 657, 35596, 8947, 4838, 159696, 4484, 5, 2181, 6, 44478, 35596, 7746, 9915, 13845, 6235, 13458, 75230, 4944, 12483, 1285, 185182, 99176, 4667, 2200, 34654, 131445, 71804, 4667, 4, 2200, 67882, 40920, 7265, 220224, 56170, 3131, 54260, 2648, 65482, 27702, 159696, 2932, 109226, 1285, 4269, 48904, 26394, 9424, 54260, 2882, 199145, 13159, 119055, 26612, 40920, 5, 125523, 9424, 238144, 874, 232187, 96986, 37826, 8947, 16175, 75230, 1211, 1285, 6319, 48775, 23741, 1470, 75230, 7201, 13342, 506, 21106, 96986, 90848, 2702, 115222, 109636, 1644, 4, 2200, 125523, 29434, 54260, 7916, 6093, 874, 232187, 2882, 6, 23093, 36609, 8947, 95455, 10339, 39083, 88660, 51723, 5, 119055, 12483, 13159, 3056, 55242, 13805, 874, 232187, 2882, 6, 186955, 4, 41764, 62763, 54196, 1751, 75230, 1211, 7508, 6093, 19302, 54260, 7511, 48253, 75290, 6, 105235, 42023, 230764, 4852, 54260, 23269, 6, 131445, 71804, 4667, 4, 1470, 75230, 1982, 34654, 7038, 16932, 364, 186955, 1470, 30682, 564, 54260, 4151, 117902, 28726, 4, 2200, 7369, 56170, 46464, 40920, 110856, 12666, 3069, 145813, 48904, 12483, 5, 7369, 364, 75230, 47332, 6, 68558, 3069, 46050, 4944, 12483, 220224, 2882, 10676, 22753, 30750, 96986, 78278, 21776, 2050, 3523, 54260, 13497, 12483, 874, 232187, 2882, 5, 4151, 113889, 4667, 6, 105235, 21295, 7369, 7746, 230764, 4, 132025, 506, 186955, 186797, 7746, 564, 54260, 2050, 14856, 69801, 4, 92500, 6, 29060, 119718, 120467, 1751, 109636, 16932, 42542, 7369, 1751, 75230, 1211, 67882, 4944, 12483, 4838, 117902, 2442, 81414, 2882, 4, 1470, 75230, 1982, 14856, 45223, 23741, 1470, 30682, 5, 46598, 3056, 42493, 29771, 6319, 54260, 1211, 27702, 29659, 710, 188201, 9424, 54260, 2882, 119055, 12483, 95455, 192544, 170479, 132025, 506, 75230, 1982, 12483, 46050, 4944, 12483, 29771, 35189, 6235, 42023, 5, 874, 48904, 107581, 114955, 51678, 95455, 6, 23093, 2884, 40026, 506, 6093, 56170, 221895, 4, 2200, 14004, 2882, 149010, 2442, 3120, 220224, 6, 23093, 36609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8947, 230764, 6, 47351, 1470, 54260, 8903, 76776, 33716, 93975, 1211, 185527, 5, 1470, 54260, 7511, 8903, 46050, 4944, 12483, 2648, 120467, 192544, 138, 11548, 2808, 75230, 6293, 1285, 364, 35596, 71804, 4667, 2200, 136645, 12483, 2819, 221895, 6235, 13458, 75230, 4944, 12483, 6319, 54260, 5666, 2865, 39083, 42493, 1285, 6319, 54260, 12483, 4, 5666, 29766, 6235, 13458, 75230, 4944, 12483, 220224, 123073, 364, 35596, 17410, 4667, 2200, 6, 131445, 17410, 4667, 2819, 220273, 221895, 22753, 26394, 1211, 2200, 165284, 109636, 1211, 7746, 130170, 7265, 1470, 54260, 1211, 364, 84577, 5, 1285, 7038, 16932, 170479, 7746, 42493, 1470, 54260, 1644, 12483, 6, 159696, 8903, 1211, 21776, 2050, 16580, 16747, 26, 2702, 4838, 144532, 8903, 42023, 5, 1470, 75230, 1982, 95455, 192544, 119055, 29060, 51678, 4838, 144532, 8903, 42023, 3069, 423, 6, 29766, 6093, 543, 2865, 232187, 2882, 4, 3056, 95455, 40026, 506, 6235, 3111, 2932, 5, 1470, 54260, 7511, 8903, 114955, 364, 75230, 1982, 12483, 42493, 6, 68558, 3069, 6235, 42023, 78278, 304, 6, 101328, 46244, 4, 2200, 220224, 49008, 6, 90848, 4667, 10339, 39083, 88660, 51723, 203013, 5, 1470, 75230, 1982, 95455, 192544, 42542, 95298, 42493, 23173, 73136, 8903, 42023, 125523, 9424, 238144, 6, 101328, 46244, 4, 170479, 7508, 120467, 6, 23173, 75230, 49268, 25046, 12483, 56170, 94741, 40920, 36324, 5332, 22426, 13159, 3056, 7511, 2882, 2205, 6, 29766, 164863, 17310, 5, 144754, 7508, 6093, 6319, 48775, 23741, 3120, 27702, 159696, 2932, 17310, 6, 35596, 119718, 7682, 1644, 12483, 7746, 1285, 33414, 20560, 5, 119055, 12483, 95455, 16580, 16747, 3056, 55242, 13805, 119055, 29771, 4944, 12483, 6, 186955, 4, 17806, 20911, 7746, 2181, 1470, 54260, 1211, 230764, 1285, 4838, 144532, 93975, 6, 170355, 4944, 12483, 4, 92500, 1470, 75230, 1982, 14856, 6, 105235, 21295, 5332, 22426, 13159, 199145, 44917, 76216, 35596, 3069, 3069, 220224, 23269, 1470, 75230, 8903, 1211, 4, 67882, 40920, 8947, 220224, 21847, 54260, 4667, 3069, 5, 564, 54260, 9424, 238144, 874, 232187, 2882, 3056, 220224, 1211, 48494, 5594, 1751, 75230, 1211, 14856, 46244, 10339, 39083, 88660, 51723, 4, 3496, 64260, 36326, 2050, 42542, 125523, 4838, 79981, 42493, 21776, 39478, 9221, 12483, 1285, 27702, 159696, 2932, 109226, 3120, 1285, 1470, 75230, 8903, 1211, 4, 2200, 17806, 20911, 30109, 14088, 2808, 75230, 6293, 6, 170355, 4944, 12483, 5, 90848, 2050, 49920, 12483, 2200, 85596, 165354, 6, 35596, 119718, 7682, 1644, 12483, 7746, 9915, 13845, 2819, 1751, 75230, 1211, 2205, 4151, 184639, 119718, 29771, 4667, 3496, 71577, 2882, 7746, 95455, 192544, 230764, 3120, 304, 1096, 12045, 10339, 10021, 19107, 138, 4838, 6, 61397, 75230, 3131, 5, 8947, 4151, 4484, 35596, 42493, 1285, 6, 76776, 29631, 84475, 6, 120749, 17310, 3120, 6, 61397, 75230, 3131, 78278, 22426, 2884, 5, 4838, 9424, 238144, 13982, 54260, 874, 232187, 2882, 4838, 68550, 5, 65146, 710, 18, 6319, 21106, 40697, 32887, 59461, 119055, 6093, 12483, 6, 203326, 71804, 4944, 238144, 4852, 418, 4151, 4484, 35596, 4, 78278, 95455, 192544, 56170, 46464, 40920, 418, 1751, 75230, 1211, 6, 21106, 54260, 1211, 3069, 22753, 183216, 4, 2200, 34076, 54260, 40920, 905, 1470, 54260, 1211, 6235, 170355, 23405, 14856, 46244, 163139, 4838, 9424, 238144, 96986, 2702, 119055, 12483, 1285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7038, 16932, 6, 201237, 2882, 5, 125523, 29434, 54260, 874, 232187, 96986, 37826, 1751, 75230, 1211, 95455, 192544, 4838, 6, 119859, 69106, 21733, 29766, 12483, 27702, 68566, 6293, 6, 159696, 8903, 1211, 220224, 1211, 7038, 16932, 4, 92500, 55242, 506, 2882, 1470, 75230, 2702, 3069, 220224, 1211, 3069, 94626, 16870, 12483, 5666, 29766, 101296, 28726, 6235, 119718, 710, 40920, 17160, 40096, 56170, 34654, 7369, 29659, 9424, 159696, 108968, 119055, 29771, 4944, 12483, 21374, 50856, 26, 2702, 119055, 12483, 22753, 4151, 23269, 506, 13497, 7746, 5, 95455, 192544, 506, 64260, 657, 17645, 1982, 45223, 7201, 23173, 12890, 8903, 6, 170355, 4944, 12483, 5, 113889, 4667, 1470, 54260, 35189, 8947, 119055, 77188, 29434, 54260, 874, 232187, 2882, 186955, 42542, 18225, 2181, 1470, 54260, 110970, 175221, 12483, 6428, 119718, 81455, 23050, 506, 51723, 230764, 1285, 364, 35596, 2200, 105884, 12483, 3069, 20315, 2050, 5, 119055, 12483, 8947, 3056, 10184, 6093, 6, 29766, 6093, 6, 105780, 6293, 874, 232187, 2882, 6, 186955, 4, 4151, 4484, 35596, 8947, 32054, 54260, 16747, 4, 92500, 16175, 22426, 17645, 21295, 2205, 27702, 506, 13845, 2882, 161829, 32956, 22426, 710, 22426, 204403, 155, 16, 8947, 29434, 93449, 1470, 75230, 2702, 3069, 94626, 16870, 43178, 506, 54260, 2882, 84475, 101251, 13342, 94626, 16870, 43178, 506, 54260, 2882, 37729, 27702, 159696, 2932, 109226, 7265, 364, 35596, 4, 2200, 7265, 1285, 102756, 21733, 12483, 3120, 6235, 30473, 40920, 13845, 5, 13342, 55242, 13805, 874, 232187, 2882, 364, 75230, 47332, 95455, 192544, 6, 68558, 6, 23173, 75230, 2702, 8903, 1982, 12483, 6319, 71804, 183216, 163139, 8947, 119055, 39083, 2882, 159696, 1644, 12483, 105884, 12483, 5, 6235, 159696, 506, 5666, 32792, 3056, 95455, 200795, 119055, 99766, 137, 101296, 101296, 2004, 84475, 6, 20616, 5666, 149010, 2702, 5, 6235, 159696, 506, 5666, 32792, 54745, 185226, 1285, 7038, 16932, 36324, 22753, 119055, 77188, 8947, 6235, 2865, 54260, 13497, 4151, 144754, 5, 13342, 4838, 47332, 84475, 6, 26394, 42023, 874, 232187, 2882, 42542, 1751, 75230, 1211, 7508, 120467, 21374, 50856, 19302, 29766, 6093, 6, 23173, 75230, 2702, 225975, 12483, 137, 22426, 71577, 26612, 155, 92500, 137, 101296, 101296, 155, 2200, 1470, 75230, 4667, 221895, 119055, 6093, 16932, 2200, 874, 54260, 13497, 8947, 6, 57277, 39340, 5, 6, 203326, 71804, 4944, 238144, 20116, 75230, 47332, 95455, 21374, 50856, 6, 68558, 192183, 226112, 1644, 9221, 12483, 1285, 179096, 1211, 2200, 1285, 27702, 159696, 2932, 109226, 3120, 1285, 6235, 25207, 16847, 5, 55242, 46244, 10184, 13845, 6, 159696, 50856, 29060, 7746, 6, 68558, 7508, 6093, 7369, 32670, 17310, 3120, 6, 64260, 1285, 200795, 874, 232187, 96986, 5, 2865, 48904, 107581, 114955, 151614, 1982, 12483, 1751, 75230, 1211, 10339, 39083, 105235, 50856, 93975, 1211, 192183, 226112, 1644, 40653, 1285, 4113, 39293, 6, 29766, 119859, 49008, 3131, 75230, 1211, 2205, 1285, 220273, 200795, 874, 232187, 96986, 4, 199145, 220224, 151614, 1982, 12483, 3069, 56170, 48775, 20260, 12483, 4151, 132993, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 101328, 46244, 3117, 1982, 15533, 8894, 2865, 232187, 2882, 95494, 6, 57277, 1982, 109316, 3120, 9424, 54260, 42023, 3131, 5666, 54260, 2648, 17310, 5, 1285, 33718, 20260, 109316, 220224, 49008, 1285, 6, 149364, 101296, 23269, 194734, 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 ]
[ 2648, 120467, 192544, 96060, 7201, 29766, 30473, 40920, 18640, 4484, 54260, 2882, 3120, 4151, 7038, 16932, 119055, 13845, 107581, 37826, 6235, 39293, 42023, 36324, 7508, 6093, 19024, 175323, 149364, 170479, 42493, 8903, 13458, 75230, 40920, 119055, 6093, 12483, 43449, 75230, 4852, 4838, 75386, 3069, 20315, 4484, 5, 159696, 46244, 35596, 4151, 184639, 119055, 29771, 4667, 56170, 7972, 77188, 95455, 192544, 6235, 159696, 506, 5666, 32792, 2205, 6235, 119718, 710, 40920, 2819, 95298, 73784, 77208, 3120, 200795, 1211, 874, 232187, 2882, 170479, 2181, 151614, 1982, 12483, 3069, 8903, 4484, 90848, 8903, 1211, 6, 47351, 10705, 129891, 73784, 6235, 119718, 710, 40920, 177274, 1211, 166464, 5, 2205, 9424, 238144, 96986, 874, 232187, 2882, 170479, 8947, 6, 198087, 144295, 8903, 1211, 1470, 54260, 1211, 10705, 129891, 193012, 32792, 2200, 2205, 29434, 710, 96986, 2200, 10184, 6093, 96986, 874, 232187, 2882, 6, 94741, 63020, 2181, 6235, 119718, 710, 49008, 73784, 8903, 119718, 710, 40920, 6, 105780, 6293, 2200, 4838, 364, 21106, 1982, 1470, 9416, 12483, 177274, 119055, 29771, 4667, 4, 292, 95455, 364, 54260, 16803, 4838, 29434, 54260, 10184, 77188, 13845, 2190, 69106, 193012, 32792, 4, 36324, 75230, 95455, 3069, 6, 105780, 6293, 874, 232187, 2882, 170479, 95455, 192544, 159696, 8903, 1211, 9424, 238144, 874, 39083, 36324, 75230, 10184, 13845, 163139, 564, 54260, 2050, 6235, 28317, 2882, 5, 3120, 22753, 30750, 96986, 1982, 15533, 6, 94741, 2050, 9424, 159696, 1644, 23741, 12483, 874, 232187, 2882, 6, 94741, 63020, 2181, 6, 198087, 144295, 8903, 1211, 1470, 37640, 13497, 874, 232187, 2882, 32792, 5, 2205, 3523, 54260, 13497, 12483, 2200, 895, 23741, 12483, 874, 232187, 2882, 170479, 8947, 6235, 119718, 710, 49008, 29060, 119718, 120467, 119055, 76632, 61397, 5, 2648, 120467, 192544, 119055, 92605, 16803, 1470, 75230, 2702, 6, 47351, 22639, 48253, 17288, 104238, 874, 232187, 2882, 32792, 78278, 20315, 2050, 10184, 6093, 96986, 874, 232187, 2882, 2819, 3120, 6428, 47351, 6, 68558, 119055, 92605, 16803, 2181, 1470, 75230, 2702, 4838, 364, 21106, 1982, 12483, 22639, 48253, 177274, 1211, 874, 232187, 2882, 78278, 1470, 54260, 1211, 6, 101328, 46244, 9424, 54260, 2882, 5, 6, 159696, 46244, 35596, 20315, 2050, 9424, 238144, 96986, 6, 101328, 46244, 2200, 29434, 710, 96986, 6, 101328, 46244, 46050, 98833, 95455, 192544, 3069, 3069, 7916, 6093, 22639, 153222, 2702, 177274, 2702, 6, 101328, 46244, 5, 10069, 9424, 54260, 506, 59461, 364, 75230, 1982, 12483, 7746, 6, 68558, 3069, 27702, 238144, 104149, 10676, 37640, 23741, 12483, 84475, 39293, 13805, 96986, 874, 232187, 2882, 2819, 1285, 130170, 105235, 9424, 54260, 506, 16747, 71804, 4667, 27702, 238144, 104149, 7746, 10069, 200795, 5, 1285, 7544, 66317, 8300, 54260, 506, 59461, 4, 95455, 364, 54260, 16803, 4, 1285, 9424, 54260, 2882, 238144, 186461, 21660, 119718, 26612, 109985, 9424, 54260, 506, 59461, 220224, 49008, 1751, 75230, 1211, 76961, 230764, 220224, 6093, 6, 99766, 3069, 9424, 238144, 92500, 4838, 364, 21106, 1982, 6, 101328, 46244, 5, 73784, 55242, 13805, 96986, 6, 101328, 46244, 364, 75230, 1982, 12483, 7746, 6, 68558, 27702, 238144, 104149, 1285, 6, 149364, 101296, 23269, 194734, 9424, 54260, 506, 59461, 5, 1285, 7038, 16932, 170479, 220224, 1211, 230764, 35189, 119055, 26612, 4667, 6, 23173, 75230, 2702, 98055, 186797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 230764, 1285, 81444, 30473, 8903, 9424, 54260, 506, 59461, 4, 6, 238144, 1644, 220224, 4852, 54260, 49008, 564, 92605, 8300, 54260, 506, 59461, 4, 2200, 51678, 9915, 54260, 20315, 1211, 84475, 56170, 2648, 29766, 1982, 12483, 159696, 25207, 1211, 125523, 1470, 54260, 35189, 14856, 4151, 119718, 10705, 16803, 7746, 36324, 220224, 220224, 49008, 56170, 47351, 95766, 192544, 26, 2702, 874, 75230, 1644, 5, 1285, 7544, 66317, 8300, 54260, 506, 59461, 6681, 12483, 1470, 75230, 2702, 2200, 1285, 6, 149364, 2865, 48904, 65482, 18415, 56170, 23269, 506, 51723, 220224, 6093, 6, 99766, 5, 1285, 123736, 38054, 3111, 23405, 3120, 1285, 81444, 30473, 8903, 9424, 54260, 506, 59461, 3056, 56170, 3131, 54260, 20315, 1211, 2205, 1470, 15907, 149010, 1211, 192544, 5, 20315, 2050, 192544, 26, 2702, 564, 142429, 1982, 142429, 16932, 87311, 24621, 16932, 10069, 200795, 564, 29766, 119055, 77188, 6235, 159696, 506, 5666, 32792, 6235, 8903, 1982, 12483, 3120, 4151, 3523, 75230, 32206, 39293, 22849, 16803, 5, 8947, 119055, 77188, 6235, 8903, 1982, 12483, 36324, 75230, 9915, 13845, 163139, 178748, 32792, 4, 7265, 2702, 119718, 15907, 1470, 75230, 1644, 84475, 4838, 7972, 119718, 1470, 75230, 1644, 199145, 119055, 77188, 132025, 8903, 119718, 23173, 63593, 2882, 78278, 13342, 4151, 32887, 2865, 149364, 40096, 14303, 3120, 6, 75290, 149364, 4, 2200, 119055, 77188, 1470, 54260, 23405, 6093, 16011, 12483, 2808, 88680, 10676, 6, 119859, 57619, 12483, 6, 75290, 149364, 1644, 3120, 192544, 5, 125523, 4151, 1470, 54260, 50856, 54260, 1982, 17310, 119718, 710, 29659, 18225, 160238, 30473, 40920, 18640, 120202, 7265, 4838, 6, 238144, 4944, 12483, 657, 54260, 159696, 13497, 78278, 95455, 119718, 92605, 2702, 3131, 97634, 6293, 3056, 6, 119859, 57619, 32792, 564, 165592, 54260, 2882, 176727, 5, 56170, 4151, 184639, 1982, 142429, 3056, 163139, 40920, 18640, 3069, 6235, 13458, 75230, 4944, 12483, 119055, 59929, 6093, 7265, 220224, 6293, 5, 56170, 1285, 238144, 16932, 4113, 10213, 35189, 170479, 95455, 119055, 59929, 6093, 220224, 1211, 3120, 805, 17824, 93704, 4, 10339, 5, 5, 4944, 10069, 3069, 27702, 29659, 710, 51723, 1285, 32887, 2865, 149364, 40096, 14303, 4, 6235, 13458, 75230, 40920, 4838, 119055, 59929, 6093, 16932, 87311, 24621, 16932, 4, 2200, 56170, 212484, 2882, 7746, 42493, 230764, 10184, 46244, 12483, 7265, 4151, 17160, 75230, 168155, 364, 84577, 5, 7508, 120467, 192544, 42542, 6, 195054, 35596, 119055, 6093, 12483, 230764, 4151, 117902, 28726, 4, 84475, 4, 125523, 216333, 4, 230764, 4838, 6, 147502, 4, 230764, 119055, 13845, 4944, 12483, 18225, 363, 9271, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 506, 64260, 3069, 6093, 29659, 1470, 75230, 2702, 8903, 710, 80453, 54260, 2882, 6, 47351, 6, 21106, 96986, 4, 6, 238144, 4944, 12483, 43449, 135118, 29060, 4, 84475, 364, 84577, 4113, 4667, 5, 10069, 220224, 6293, 56170, 4151, 81444, 4852, 161459, 564, 142429, 170479, 160238, 30473, 40920, 18640, 132025, 61397, 16011, 12483, 119055, 6093, 12483, 7265, 26612, 119055, 26612, 29659, 31212, 4, 199145, 112216, 16803, 7746, 216333, 3069, 73784, 657, 54260, 1982, 1470, 54260, 35189, 1470, 4231, 119718, 26612, 2050, 5, 4151, 75290, 149364, 119055, 77188, 6428, 47351, 6235, 710, 238144, 185226, 7265, 119055, 23173, 4113, 46685, 119055, 59929, 6093, 2200, 160238, 30473, 40920, 18640, 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, 2050, 8903, 2882, 55049, 35596, 37729, 657, 54260, 40920, 12483, 1470, 75230, 2702, 21733, 71577, 12483, 4, 95298, 42493, 37729, 7508, 54260, 1982, 12483, 4, 6, 238144, 1644, 1285, 506, 75230, 2882, 3056, 55242, 46244, 9424, 23173, 2882, 5, 34076, 54260, 4667, 163139, 48494, 203232, 6235, 28317, 2882, 2050, 710, 23822, 7682, 13845, 119055, 77188, 564, 165592, 54260, 2882, 176727, 4, 119718, 120467, 6, 94741, 63020, 6235, 23269, 42023, 125523, 10184, 6093, 84475, 6, 105780, 6293, 193012, 4, 165354, 16175, 75230, 1211, 1285, 564, 142429, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 2205, 4838, 21374, 50856, 89184, 12483, 119055, 48904, 109316, 5, 125523, 10676, 163139, 18225, 37826, 132025, 8903, 159696, 16747, 29060, 1285, 220224, 6293, 4, 4852, 39083, 18225, 95455, 21374, 50856, 19532, 54260, 5666, 147713, 12483, 2205, 7508, 6093, 119055, 48904, 4113, 4, 44458, 23269, 506, 30750, 50856, 18640, 1470, 30682, 564, 54260, 34654, 131445, 23829, 4667, 2200, 364, 41595, 12483, 564, 54260, 2050, 49920, 4852, 123073, 7265, 4151, 130154, 6093, 364, 84577, 4, 40611, 36324, 1285, 198754, 20616, 84577, 170479, 220224, 1211, 32054, 54260, 3069, 160751, 12483, 1285, 1982, 142429, 5, 125523, 7508, 6093, 564, 29766, 364, 75230, 47332, 48494, 203232, 16580, 16747, 6, 23173, 54260, 1211, 2205, 4838, 46654, 48904, 109316, 1211, 84475, 16932, 4484, 40697, 1211, 364, 84577, 4113, 4667, 5, 1470, 75230, 1982, 14856, 3131, 80453, 54260, 2882, 1470, 75230, 2702, 4838, 37189, 24621, 119132, 33718, 4667, 3120, 10705, 13497, 12483, 4838, 75386, 564, 32829, 8300, 17310, 4, 119055, 29060, 95455, 4852, 54260, 1211, 4838, 55242, 46244, 6, 238144, 104238, 3069, 20315, 4484, 56170, 26, 1211, 16580, 16747, 5, 1285, 364, 84577, 4113, 104238, 199145, 119055, 6093, 12483, 8903, 13458, 75230, 40920, 1470, 75230, 4944, 13342, 2882, 55049, 171428, 21776, 1982, 16580, 16747, 26, 2702, 6, 75290, 149364, 1644, 170479, 12483, 220224, 1211, 119055, 23173, 46598, 92500, 6, 238144, 4667, 5, 125523, 21776, 2050, 1470, 75230, 47332, 55049, 171428, 4852, 39083, 18225, 1285, 121193, 54260, 153222, 1211, 3120, 657, 54260, 1982, 27702, 29659, 75230, 1982, 12483, 7265, 4838, 112216, 905, 35189, 5, 24621, 6, 205416, 42493, 6, 23173, 54260, 100863, 171428, 95455, 16580, 16747, 7265, 6, 75322, 39083, 2205, 119055, 59929, 6093, 4, 2200, 2648, 120467, 115222, 109636, 1644, 170479, 42493, 130170, 8903, 34079, 20260, 12483, 119055, 6093, 12483, 5, 1470, 75230, 1982, 95455, 192544, 37826, 39293, 46244, 874, 151461, 6681, 4151, 564, 142429, 4, 6, 159696, 23093, 13845, 55823, 1211, 21776, 8903, 1211, 4838, 43449, 135118, 29060, 40653, 292, 35189, 119055, 48904, 4113, 4, 2200, 12023, 10813, 26612, 4944, 238144, 4852, 4838, 90848, 80453, 212484, 12483, 95455, 192544, 2205, 12023, 135118, 29060, 73784, 119718, 59929, 6093, 2819, 84475, 14856, 42542, 1470, 75230, 1982, 14856, 119718, 15350, 4, 3069, 6093, 29659, 6, 147713, 12483, 95455, 192544, 2205, 26612, 17190, 6093, 6093, 119055, 48904, 4113, 36324, 2181, 170479, 7746, 163139, 14856, 364, 186955, 95455, 192544, 56170, 4151, 191795, 146831, 99766, 145813, 710, 109316, 1211, 4838, 6235, 119718, 710, 36419, 9424, 54260, 2882, 1982, 15533, 8947, 119055, 29060, 7746, 3069, 8903, 159696, 506, 49008, 3069, 4151, 119055, 48904, 4113, 4, 2200, 4151, 113889, 4667, 170479, 18225, 6, 203326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 71804, 4944, 238144, 4852, 6, 23173, 54260, 23405, 21292, 12483, 119055, 59929, 6093, 2205, 4151, 119055, 48904, 4113, 5, 10069, 119055, 59929, 6093, 56170, 4151, 564, 29766, 170479, 220224, 1211, 6, 238144, 107581, 4, 6, 238144, 1644, 364, 23173, 18415, 119055, 59929, 6093, 119055, 29060, 101296, 4944, 12483, 4231, 29766, 16803, 39340, 1285, 364, 75230, 2882, 5, 1285, 10213, 80885, 220224, 6293, 56170, 4151, 564, 29766, 3056, 6319, 119273, 15350, 220224, 6293, 29771, 35189, 115825, 89930, 8580, 4852, 54260, 6293, 5, 21733, 54260, 2648, 17310, 13159, 3056, 55242, 46244, 163139, 40920, 18640, 36324, 1285, 19302, 54260, 2442, 17310, 170479, 220224, 1211, 119055, 23173, 46598, 2200, 6, 238144, 4667, 4, 2200, 3069, 35189, 39293, 1644, 75578, 9424, 54260, 2882, 657, 54260, 40920, 2205, 6235, 119718, 710, 40920, 2200, 6235, 159696, 1982, 5, 4151, 6, 75322, 39083, 161459, 874, 65504, 3120, 2648, 120467, 192544, 125450, 119718, 710, 36324, 75230, 14856, 16175, 55049, 172398, 120202, 95455, 192544, 125523, 4151, 564, 29766, 21733, 54260, 20315, 1211, 564, 54260, 203326, 2205, 55242, 46244, 657, 48904, 8903, 19302, 54260, 35189, 3056, 6235, 159696, 1211, 4838, 6, 63188, 149010, 4, 200795, 16667, 4, 35189, 7201, 23173, 6, 238144, 1644, 220224, 220224, 49008, 6235, 159696, 1211, 3069, 6235, 119718, 710, 40920, 18640, 4, 2200, 9424, 238144, 18415, 16667, 6, 238144, 1644, 220224, 151614, 1982, 12483, 35189, 7038, 16932, 6235, 8903, 1982, 12483, 14856, 46244, 4838, 68697, 54260, 2882, 564, 54260, 2050, 119055, 48904, 12483, 2200, 6, 80453, 13159, 12483, 5, 1470, 54260, 5666, 7201, 26612, 104238, 37016, 1644, 54260, 35189, 3120, 657, 54260, 40920, 12483, 6235, 159696, 1982, 220224, 49008, 10184, 13845, 6, 80453, 129071, 152185, 5, 4944, 107182, 2205, 177274, 1211, 3373, 48350, 68558, 3120, 6, 101328, 46244, 107776, 1751, 57277, 24152, 3069, 3523, 75230, 1211, 95455, 119055, 39083, 65482, 506, 4113, 27105, 13845, 5, 2181, 3056, 1751, 159696, 2442, 6093, 3069, 202446, 12483, 4838, 4231, 17310, 192544, 119055, 23173, 46598, 1470, 54260, 35189, 6, 47351, 895, 16932, 46598, 4, 6, 238144, 1644, 220224, 1211, 163139, 2882, 23173, 131044, 3056, 19302, 54260, 59461, 4, 2200, 7369, 6235, 7916, 13497, 7746, 2205, 4838, 6319, 21106, 16932, 12483, 137, 144581, 2865, 40096, 155, 1470, 54260, 35189, 119055, 12483, 7369, 3056, 6235, 159696, 1211, 2205, 4151, 7038, 16932, 26, 2702, 657, 54260, 1982, 5, 34654, 564, 192539, 178748, 12483, 185000, 119055, 6093, 12483, 3120, 46654, 48904, 13845, 84475, 46654, 48904, 109316, 2882, 4, 2200, 170479, 12483, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 78278, 95455, 192544, 3056, 6, 186955, 6235, 3111, 2932, 3069, 6235, 13458, 75230, 4944, 12483, 4838, 6235, 21066, 29771, 40920, 65482, 2050, 1982, 183512, 199145, 119055, 77188, 27702, 55823, 16803, 41595, 4838, 68550, 10676, 131397, 16932, 5, 10184, 109316, 10339, 21106, 12483, 3120, 1285, 23173, 4113, 4113, 119055, 39083, 96986, 241997, 1470, 75230, 2702, 23269, 2865, 54260, 20315, 2882, 119055, 6093, 12483, 4, 119055, 12483, 4151, 564, 183512, 119055, 39083, 2882, 40653, 23269, 212484, 12483, 119055, 6093, 12483, 78278, 95455, 192544, 119055, 39083, 2882, 895, 16932, 6235, 119718, 29766, 12483, 5, 21106, 4113, 6319, 54260, 69031, 26612, 4667, 2200, 130170, 21733, 54260, 2648, 71804, 4667, 170479, 12483, 17288, 183216 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3120, 1285, 15622, 21295, 93497, 5, 25616, 54260, 23269, 6, 159696, 34533, 71804, 4667, 51678, 6235, 101296, 40920, 119055, 6093, 12483, 2200, 132025, 2932, 65482, 506, 2882, 119055, 6093, 12483, 3069, 1285, 19302, 54260, 2648, 71804, 4667, 4, 40611, 36324, 220224, 170479, 12483, 17288, 183216, 3120, 1285, 131397, 16932, 2702, 5, 76961, 19302, 54260, 35189, 56170, 4838, 192544, 4852, 39083, 12483, 6235, 80453, 119273, 119055, 6093, 12483, 123736, 42023, 48706, 23173, 48253, 4, 6, 238144, 1644, 3069, 43649, 54260, 55823, 81414, 117397, 99402, 51678, 2442, 54260, 1982, 12483, 2200, 1470, 75230, 22680, 4113, 8903, 1211, 1285, 9424, 23173, 18415, 364, 75230, 2882, 3120, 192544, 5, 6, 76776, 40920, 21733, 54260, 35189, 170479, 12483, 6235, 101296, 40920, 119055, 6093, 12483, 6, 71804, 23405, 4, 7265, 1470, 167048, 7682, 13845, 3120, 2190, 13497, 12483, 199145, 170479, 3069, 235210, 43178, 32670, 12483, 2648, 120467, 19302, 54260, 2648, 2200, 56170, 20315, 165354, 34654, 6, 131445, 5, 46598, 119055, 6093, 12483, 56170, 4484, 75230, 23741, 10184, 109316, 7038, 82576, 2702, 56170, 21374, 50856, 6093, 36326, 19302, 54260, 35189, 4, 2200, 1285, 135407, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 24621, 46244, 80885, 3120, 220224, 220224, 49008, 6, 80453, 129071, 13456, 5, 874, 48904, 107581, 6, 48775, 23093, 12483, 42493, 6235, 13458, 75230, 4944, 12483, 6319, 54260, 23269, 4484, 23269, 22426, 71804, 4667, 84475, 3373, 54260, 160687, 41764, 100810, 4, 2200, 44458, 29659, 64260, 10676, 6235, 13458, 75230, 4944, 12483, 32887, 710, 22426, 3069, 13342, 12890, 16747, 12483, 710, 16870, 13159, 30109, 54260, 2648, 5, 1285, 81444, 30473, 8903, 19302, 54260, 35189, 4, 40653, 506, 75230, 22426, 2882, 1285, 1470, 75230, 2702, 123073, 4, 220224, 49008, 42493, 36324, 75230, 155697, 1211, 163139, 30109, 54260, 2442, 6093, 199145, 119055, 6093, 12483, 6235, 101296, 40920, 7265, 19302, 54260, 7511, 20260, 4113, 6319, 23269, 109636, 71804, 4667, 5, 20033, 212484, 12483, 95455, 40653, 3069, 4151, 7038, 16932, 3069, 6, 35596, 5666, 54260, 20315, 1211, 4, 95298, 20033, 6, 48775, 23093, 12483, 9213, 46244, 165592, 22753, 170479, 6, 48775, 1982, 12483, 1285, 19302, 54260, 35189, 133190, 1470, 54260, 5666, 7201, 26612, 4667, 4, 40611, 36324, 8947, 170479, 9213, 46244, 43449, 54260, 1982, 12483, 8300, 54260, 2882, 56170, 14856, 46244, 3523, 31623, 149010, 147582, 40920, 12483, 5, 4151, 19302, 54260, 7511, 48253, 75290, 119055, 29060, 220224, 1211, 6, 172060, 185226, 36324, 75230, 155697, 1211, 2200, 34076, 7682, 32792, 2205, 1285, 7508, 54260, 23269, 4, 1470, 54260, 5666, 7201, 26612, 107581, 19302, 54260, 20315, 71804, 4667, 5, 20315, 2050, 192544, 26, 2702, 21422, 46685, 13845, 15, 5666, 75230, 32206, 89184, 16, 17645, 20315, 364, 54260, 2050, 170479, 120202, 119718, 83182, 12483, 4838, 9424, 88680, 56170, 1285, 114955, 2819, 48494, 203232, 170479, 220224, 1211, 4838, 10918, 46685, 199145, 3056, 72577, 190800, 23269, 506, 54260, 56169, 2200, 1470, 75230, 2702, 8903, 12666, 23741, 77188, 4, 36324, 8947, 170479, 51678, 8903, 13458, 75230, 40920, 119055, 6093, 12483, 4838, 75386, 4231, 22426, 63188, 22426, 48775, 8580, 5, 2181, 170479, 220224, 1211, 3944, 40920, 18640, 2200, 9181, 23741, 18640, 4, 2200, 10069, 119055, 35596, 170479, 220224, 1211, 6428, 37016, 29766, 54196, 7265, 4838, 45223, 6093, 56170, 1982, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42493, 6235, 22426, 54260, 149364, 2882, 4, 236512, 87637, 46677, 7511, 23269, 34482, 170355, 4944, 12483, 5, 215031, 21422, 46685, 170479, 36324, 75230, 6235, 22426, 710, 84577, 119055, 6093, 12483, 36324, 8947, 170479, 4484, 171428, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 2205, 6681, 3120, 4838, 30109, 48904, 15307, 54260, 2882, 2819, 6, 238144, 1644, 6, 226112, 12483, 148932, 160238, 30473, 40920, 710, 20260, 54260, 2882, 119055, 6093, 12483, 7746, 114955, 81444, 4667, 132025, 105235, 165354, 7265, 30109, 48904, 15307, 54260, 2882, 5, 17645, 35189, 6681, 3120, 1470, 75230, 68867, 2882, 2050, 1982, 88680, 65146, 3056, 39083, 54196, 119055, 6093, 12483, 2819, 6, 238144, 1644, 1470, 75230, 1982, 42493, 68313, 1285, 4269, 48904, 26394, 10339, 26612, 1982, 54260, 17645, 2205, 6235, 7201, 26612, 46244, 7746, 132025, 13342, 105235, 165354, 4151, 144754, 5, 1470, 75230, 1982, 1470, 54260, 1211, 16580, 16747, 119055, 77188, 6319, 48775, 20260, 4, 364, 54260, 47332, 2181, 125523, 42493, 36324, 1470, 75230, 4667, 1285, 9213, 73375, 8903, 114955, 6428, 23173, 55823, 1211, 4484, 48775, 20260, 119055, 6093, 12483, 5, 4484, 54260, 23269, 126230, 109636, 2882, 2050, 170479, 12483, 42493, 1470, 75230, 1982, 8903, 710, 80453, 54260, 2882, 119055, 6093, 12483, 230764, 10676, 46654, 29766, 5, 132, 39293, 506, 2882, 6319, 71577, 15907, 13845, 6, 5, 1982, 6, 159696, 8903, 1211, 1470, 75230, 1982, 2865, 54260, 2648, 17310, 3120, 1751, 119718, 710, 16747, 46464, 40920, 5, 16, 133190, 19302, 54260, 23269, 6, 90848, 2932, 2702, 119718, 120467, 51678, 6235, 119718, 14004, 12483, 1054, 6093, 12483, 170479, 12483, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 5, 95455, 119055, 29060, 45223, 55823, 1211, 215031, 12415, 2205, 21422, 46685, 170479, 220224, 1211, 7508, 54260, 1211, 2200, 21422, 40920, 18640, 5, 95455, 14856, 69801, 3120, 21422, 46685, 170479, 220224, 1211, 55823, 16803, 4, 657, 54260, 40920, 2200, 1470, 54260, 5666, 7201, 26612, 4667, 4, 40611, 36324, 14856, 170479, 2181, 51678, 119055, 26612, 3131, 12483, 84475, 120202, 29659, 75230, 1982, 12483, 5, 30109, 54260, 23269, 4, 24012, 136108, 71512, 16175, 24295, 71804, 4667, 2200, 564, 135118, 71804, 4667, 220224, 49008, 3523, 75230, 15231, 2932, 56170, 114955, 36324, 220224, 170479, 12483, 51678, 8947, 12483, 6, 29766, 6093, 22753, 26394, 1211, 4151, 1982, 54260, 7265, 220224, 123073, 145813, 710, 13845, 10813, 26612, 4667, 5, 506, 75230, 107581, 564, 54260, 2442, 159696, 13497, 48775, 4667, 199145, 51678, 6235, 119718, 26612, 3131, 12483, 119055, 6093, 12483, 4, 220224, 49008, 6, 48775, 23093, 170355, 2050, 26612, 564, 75230, 4667, 23173, 152203, 710, 83182, 2648, 120467, 192544, 117760, 4944, 10069, 120202, 13342, 2808, 159696, 16747, 12483, 3944, 40920, 84475, 9181, 23741, 13342, 49008, 5, 226467, 3120, 6, 47351, 117578, 13159, 84577, 12483, 2200, 27702, 28726, 46244, 141943, 12483, 3496, 23173, 129071, 6093, 170479, 12483, 17288, 183216, 230764, 1285, 119055, 35596, 5, 159696, 1211, 95455, 192544, 620, 29771, 23741, 1470, 54260, 1211, 564, 54260, 97634, 2932, 4, 170479, 95455, 21422, 46685, 220224, 1211, 33718, 20260, 13845, 5, 8947, 68313, 42493, 6, 48775, 23093, 170355, 2050, 3069, 8903, 159696, 506, 49008, 95455, 21374, 50856, 3069, 3069, 7916, 13845, 67826, 63849, 54260, 2882, 4, 6, 238144, 1644, 36324, 75230, 23173, 14088, 119055, 29060, 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 ]
[ 74806, 16932, 2882, 119055, 6093, 12483, 3120, 7544, 152848, 80885, 1211, 6, 61397, 75230, 3131, 5, 95455, 192544, 6, 159696, 97634, 75578, 620, 29771, 55823, 1211, 4838, 657, 141847, 123073, 9424, 54260, 2882, 2205, 4838, 33718, 20260, 13845, 6093, 12483, 21422, 46685, 2819, 2200, 1470, 75230, 1982, 95455, 16580, 16747, 620, 29771, 23741, 7746, 72577, 1470, 75230, 2050, 119055, 29060, 8947, 45521, 54574, 12483, 72577, 10676, 6, 119859, 57619, 12483, 166464, 5, 2648, 120467, 145813, 54260, 104149, 3120, 192544, 10069, 163139, 2702, 43178, 95494, 23741, 3120, 145813, 54260, 104149, 4838, 192544, 3056, 55242, 46244, 4838, 163139, 40920, 93975, 5, 178766, 6, 35596, 119718, 7682, 1644, 17310, 185182, 98833, 120202, 3120, 178766, 145813, 54260, 4852, 4, 2200, 48494, 203232, 3056, 564, 165592, 29771, 83182, 2702, 6, 120749, 18640, 6, 159696, 107182, 142429, 12483, 3120, 145813, 54260, 104149, 95455, 192544, 152, 29771, 35189, 4151, 3523, 75230, 32206, 26, 13159, 9721, 71616, 2819, 2200, 4, 8300, 238144, 18415, 16667, 4, 1285, 6319, 171127, 149010, 145813, 54260, 4852, 17310, 69355, 192544, 1470, 75230, 2702, 10676, 564, 64260, 13845, 5, 21847, 7682, 32792, 3056, 95455, 192544, 199145, 7369, 23269, 506, 33716, 7746, 230764, 7508, 6093, 7038, 16932, 26, 2702, 7544, 66317, 115518, 10676, 6, 84577, 159696, 506, 49008, 5, 88771, 4, 8947, 95766, 4838, 17824, 75230, 36419, 6, 71804, 16803, 56170, 4151, 7038, 16932, 4, 56170, 9213, 46244, 9424, 54260, 2882, 2200, 32054, 54260, 506, 54260, 2882, 74, 29771, 75578, 119055, 13845, 107581, 6235, 23822, 54260, 4113, 7038, 16932, 3056, 10705, 2865, 119718, 710, 186461, 3069, 6, 199511, 215031, 120202, 59919, 16580, 107829, 101251, 8903, 506, 54260, 123073, 163139, 40920, 18640, 4484, 54260, 48253, 22426, 54260, 104149, 7265, 4151, 9721, 71616, 42542, 7511, 2882, 40653, 8903, 95494, 56169, 119055, 6093, 12483, 5, 10184, 109316, 11556, 16932, 2702, 160751, 12483, 230764, 95455, 145813, 54260, 104149, 69355, 4151, 9721, 71616, 4, 2200, 160751, 12483, 21776, 2050, 16580, 16747, 4838, 564, 64260, 13845, 119055, 12483, 95455, 3056, 133190, 7511, 2882, 3523, 75230, 15231, 2932, 5, 10184, 13845, 874, 39083, 119055, 77188, 44064, 35189, 6, 120749, 161459, 6, 159696, 2932, 3069, 364, 21106, 96986, 4838, 192544, 4151, 81444, 20911, 29766, 6, 21106, 54260, 1211, 27702, 2808, 54260, 5666, 21066, 71616, 69355, 220273, 101251, 119718, 710, 40920, 93975, 34482, 170355, 4944, 12483, 2200, 6093, 7369, 1644, 75230, 40920, 4151, 7038, 16932, 3069, 160751, 12483, 10676, 192544, 48494, 203232, 564, 64260, 13845, 5, 119055, 39083, 2882, 177274, 7038, 16932, 56170, 3131, 57277, 49008, 163139, 163139, 40920, 18640, 8947, 3056, 56170, 21776, 2050, 5, 192544, 26, 2050, 203013, 4, 119055, 39083, 2882, 22753, 1751, 75230, 1211, 8903, 17268, 49008, 4838, 7265, 13845, 163139, 36324, 75230, 3069, 145813, 54260, 104149, 48494, 203232, 21374, 50856, 6, 159696, 110317, 80885, 66293, 16175, 54260, 1644, 238144, 4852, 3120, 14004, 46244, 9721, 71616, 4, 2200, 16175, 54260, 1644, 238144, 4852, 3120, 564, 64260, 13845, 5, 10069, 6235, 5666, 75230, 4113, 130170, 4852, 18340, 17310, 37826, 27702, 119718, 710, 104149, 36324, 95455, 192544, 199145, 119055, 77188, 74806, 22426, 54260, 4852, 2882, 3120, 4151, 7038, 16932, 26, 2702, 9721, 71616, 37826, 42493, 133190, 216333, 4113, 1470, 75230, 2702, 30473, 40920, 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 ]
[ 3069, 17190, 1982, 12483, 2200, 564, 54260, 104378, 114955, 25616, 48904, 15307, 54260, 96986, 4, 133190, 2181, 3056, 43649, 23173, 75290, 2200, 203013, 6093, 2205, 1285, 145813, 29060, 123073, 6, 101328, 46244, 12483, 5, 119718, 10705, 2181, 3056, 101251, 1982, 93704, 23174, 2882, 3523, 75230, 15231, 2932, 3069, 145813, 54260, 104149, 95455, 192544, 3120, 564, 64260, 13845, 4, 3373, 54260, 45160, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 97634, 48775, 170355, 564, 64260, 13845, 68313, 95455, 10213, 80885, 3120, 87637, 25222, 161829, 12483, 43649, 183512, 172060, 185226, 5, 15350, 238144, 4852, 4, 170479, 18225, 6235, 20315, 20260, 12483, 36324, 1285, 3523, 40096, 9221, 149010, 7544, 66317, 7201, 23173, 2442, 54260, 29060, 119055, 6093, 12483, 3120, 192544, 26, 5, 56170, 2648, 54260, 2808, 17310, 2702, 29766, 119859, 212484, 12483, 119055, 6093, 12483, 2205, 6, 82576, 15350, 15533, 9221, 16932, 15, 8903, 88660, 4944, 16932, 16, 163139, 3131, 97634, 55823, 1211, 119055, 29771, 2050, 170479, 12483, 6681, 24621, 46244, 12483, 10676, 87481, 186955, 119718, 710, 36324, 75230, 3069, 13342, 23847, 54260, 96986, 215031, 7544, 66317, 42542, 1285, 7038, 16932, 69355, 21776, 2050, 81444, 20911, 29766, 4, 6, 29766, 6093, 3120, 7508, 6093, 3523, 75230, 32206, 4, 84475, 26612, 137, 1982, 54260, 12890, 119055, 13845, 55823, 9221, 6, 80885, 54260, 68558, 2909, 22426, 1644, 47351, 119055, 12483, 1285, 9721, 34533, 151614, 1982, 12483, 42493, 10184, 13845, 7544, 66317, 4, 72308, 34533, 4, 6, 26394, 42023, 238419, 3120, 1470, 54260, 59461, 2200, 6, 26394, 42023, 238419, 3120, 8903, 13458, 75230, 40920, 48494, 203232, 564, 64260, 13845, 4838, 75386, 3069, 2932, 29771, 1982, 3069, 7508, 6093, 9721, 71616, 159696, 25207, 1211, 125523, 4151, 9721, 71616, 5, 905, 77188, 48494, 203232, 145813, 54260, 104149, 7265, 4151, 9721, 71616, 1470, 75230, 111137, 8903, 1982, 12483, 2442, 74004, 4944, 12483, 5, 1285, 874, 172398, 110129, 215726, 2050, 6428, 23173, 55823, 1211, 42493, 1751, 16932, 12483, 13458, 71616, 5, 1470, 75230, 1982, 34654, 7038, 16932, 119055, 77188, 163139, 35189, 1751, 119718, 48904, 61397, 4, 2865, 54260, 13497, 95455, 42493, 36324, 14856, 19024, 136108, 95455, 192544, 34076, 54260, 4667, 6, 84577, 159696, 506, 49008, 2819, 170479, 22753, 6, 203326, 137218, 1982, 238144, 4852, 132025, 506, 54260, 1982, 12483, 160751, 12483, 95455, 1982, 64260, 6093, 4, 2200, 1470, 75230, 29111, 6093, 12483, 3069, 3523, 75230, 32206, 12483, 119055, 12483, 22753, 28415, 20911, 165592, 2181, 3056, 3069, 1751, 159696, 2442, 56170, 9213, 46244, 5, 4151, 132025, 68566, 6293, 3120, 47351, 132025, 15907, 37016, 192539, 30109, 48904, 15307, 54260, 2882, 230764, 4151, 7038, 16932, 3056, 113889, 4667, 4838, 61621, 42493, 6319, 54260, 1211, 6235, 110317, 43178, 25207, 34482, 170355, 107581, 56170, 119718, 120467, 1285, 11556, 16932, 170479, 6, 84577, 159696, 506, 49008, 7508, 120467, 192544, 5, 21776, 20911, 3069, 4151, 11556, 16932, 26, 2702, 6235, 30473, 40920, 7265, 1470, 6235, 1211, 136775, 39340, 4, 2200, 119055, 141943, 29060, 68558, 51963, 174538, 12483, 3069, 9356, 54260, 26394, 1211, 48494, 203232, 192544, 4, 95298, 1285, 11556, 16932, 170479, 6, 238144, 16932, 3523, 75230, 32206, 12483, 48494, 203232, 192544, 4, 3373, 54260, 20315, 1211, 22753, 111684, 33716, 3069, 1751, 119718, 26612, 4667, 5, 1470, 75230, 1982, 1285, 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 ]
[ 75230, 32206, 145813, 54260, 4852, 2882, 95455, 192544, 69355, 9213, 46244, 9721, 71616, 4, 2200, 22753, 3056, 55242, 22849, 16803, 4838, 7038, 16932, 3120, 47351, 895, 16932, 192544, 4, 3056, 7508, 120467, 42493, 1751, 16870, 32792, 56170, 26, 1211, 192544, 5, 13159, 3056, 4838, 3523, 40096, 9221, 149010, 6, 170355, 4667, 56170, 4838, 192544, 3069, 9934, 75230, 8903, 1211, 4, 2200, 7508, 6093, 184639, 130170, 120749, 163139, 3069, 9934, 75230, 8903, 1211, 68313, 42493, 6319, 54260, 1211, 1751, 159696, 2442, 6093, 5, 56170, 4151, 7038, 16932, 6, 21106, 54260, 1211, 3056, 2808, 75230, 4667, 216333, 6150, 22753, 170479, 34076, 54260, 4667, 3120, 132025, 506, 75230, 1982, 160751, 12483, 9934, 75230, 8903, 1211, 4, 6, 238144, 1644, 95455, 45223, 23741, 7508, 6093, 9915, 13845, 6093, 3069, 235210, 43178, 32670, 17310, 69355, 7038, 16932, 1644, 54260, 1982, 2819, 2200, 95455, 192544, 46050, 4113, 98833, 3120, 4151, 13458, 71616, 1285, 147582, 21087, 8903, 1751, 97634, 6293, 1470, 54260, 35189, 34654, 7544, 66317, 107776, 23173, 75230, 2702, 4, 2200, 1285, 81444, 30473, 8903, 1751, 97634, 6293, 6, 73215, 146079, 54196, 1285, 6235, 25207, 16847, 6, 23173, 75230, 2702, 13342, 2808, 119718, 23173, 55823, 1211, 1285, 9424, 43590, 15, 16580, 83182, 13982, 37016, 16, 56170, 20315, 2050, 29434, 710, 96986, 166464, 119055, 12483, 1285, 9721, 34533, 84087, 12483, 7746, 6, 68558, 7265, 9719, 66317, 5, 1470, 54260, 35189, 1285, 7544, 66317, 364, 75230, 47332, 6, 68558, 6, 104378, 21776, 195054, 195164, 18640, 3056, 6235, 3111, 2932, 3069, 3523, 75230, 32206, 12483, 177274, 6, 105780, 6293, 165284, 16747, 12483, 5, 8947, 68313, 42493, 6, 48775, 23093, 170355, 2050, 3069, 160751, 12483, 3069, 75290, 2200, 119055, 59929, 6093, 4, 6, 78683, 710, 13159, 4, 1470, 5, 2648, 5, 2932, 5, 3069, 114955, 1470, 54260, 35189, 1285, 7544, 66317, 107776, 6, 68558, 4, 238144, 1644, 95455, 56170, 63864, 170355, 40920, 30109, 4113, 24621, 12483, 5, 1470, 54260, 5666, 7201, 26612, 107581, 119055, 23173, 4113, 24621, 119055, 59929, 6093, 3056, 1751, 75230, 1211, 564, 93704, 54260, 18415, 16747, 216333, 5, 1285, 24621, 46244, 80885, 114955, 620, 29771, 55823, 1211, 6, 80453, 129071, 13456, 1285, 6, 119859, 57619, 16870, 120467, 192544, 163151, 8300, 54260, 2882, 6, 159696, 46244, 35596, 1285, 200795, 234917, 193012, 4, 2200, 6428, 23173, 55823, 1211, 7508, 23173, 88680, 42493, 55242, 46244, 7916, 13845, 145813, 54260, 4852, 5, 119055, 12483, 1285, 7544, 66317, 107776, 6, 68558, 3069, 1285, 9721, 34533, 4, 170479, 18225, 132025, 506, 75230, 1982, 12483, 7508, 120467, 25207, 195054, 195164, 18640, 9934, 75230, 8903, 1211, 5, 34654, 14856, 46244, 80885, 114955, 112216, 2702, 12483, 7746, 72577, 3069, 73784, 9934, 75230, 8903, 1211, 17645, 20315, 29434, 54260, 165284, 16747, 12483, 5, 55242, 46244, 119055, 76632, 8903, 81444, 20911, 75230, 16847, 119055, 109316, 1211, 364, 54260, 13497, 6, 48775, 23093, 12483, 3069, 8903, 1982, 12483, 9934, 75230, 8903, 1211, 177274, 9424, 238144, 165284, 16747, 12483, 5, 1470, 192544, 119055, 77188, 657, 54260, 40920, 4838, 108599, 26612, 6293, 3069, 620, 91595, 4113, 6235, 159696, 506, 5927, 54260, 96986, 4, 2200, 8947, 3056, 28415, 4484, 159696, 2442, 158548, 163139, 9915, 13845, 2181, 119055, 77188, 564, 54260, 114955, 6235, 95494, 55823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4838, 620, 91595, 4113, 6235, 159696, 506, 5927, 54260, 2882, 5, 220273, 40026, 506, 364, 75230, 1982, 12483, 220224, 6, 68558, 3069, 9934, 75230, 8903, 1211, 4852, 54260, 123073, 6, 223390, 6093, 5, 220224, 6235, 7916, 49008, 1470, 75230, 2702, 36324, 4838, 203326, 13845, 6, 238144, 49008, 119055, 29060, 6, 199511, 1285, 7038, 16932, 4, 2200, 220224, 6, 238144, 49008, 78278, 1285, 7038, 16932, 23050, 506, 63532, 220224, 5, 220224, 56170, 119718, 183512, 1644, 12483, 1470, 75230, 4667, 10676, 97634, 2932, 2200, 6, 76776, 40920, 4151, 144754, 199145, 220224, 620, 29771, 55823, 1211, 21776, 2050, 6, 119859, 57619, 12483, 166464, 2200, 6, 238144, 49008, 64699, 10069, 4269, 48904, 26394, 6, 76776, 40920, 5, 220224, 7038, 104149, 6, 21106, 4852, 29771, 7369, 8300, 75230, 8903, 1211, 119055, 6093, 12483, 34076, 54260, 4667, 3120, 132025, 7201, 48904, 2932, 3069, 9934, 75230, 8903, 1211, 2200, 620, 29771, 55823, 1211, 3069, 7508, 6093, 9424, 54260, 2882, 5, 1751, 75230, 1211, 3120, 9424, 238144, 96986, 84475, 29434, 710, 96986, 874, 232187, 2882, 51678, 220224, 1470, 75230, 2702, 8903, 44478, 35596, 119055, 6093, 12483, 3069, 620, 29771, 55823, 1211, 1285, 4269, 48904, 26394, 6, 76776, 40920, 125523, 10676, 163139, 18225, 506, 64260, 220224, 6235, 8903, 1982, 12483, 9934, 75230, 8903, 1211, 4838, 68550, 209, 36324, 54260, 61397, 564, 54260, 76776, 40920, 5, 35189, 7038, 16932, 26, 2702, 46711, 32184, 152, 1470, 75230, 4667, 1285, 7038, 16932, 37826, 199145, 3069, 212632, 5, 22753, 192575, 23050, 506, 51723, 21776, 195054, 195164, 93975, 22444, 506, 5, 9213, 46244, 145813, 54260, 4852, 65146, 220224, 1211, 4838, 99509, 4113, 2200, 6, 76776, 506, 17800, 26612, 160687, 8903, 4, 40611, 36324, 22753, 170479, 564, 165592, 29766, 8903, 1211, 21776, 2050, 19302, 54260, 7511, 48253, 165354, 7265, 203013, 6093, 7544, 66317, 5, 22753, 192575, 1470, 75230, 4667, 1470, 75230, 7201, 22426, 59929, 12483, 230764, 9213, 46244, 6, 71577, 29060, 15907, 5, 8947, 220224, 49008, 56170, 47351, 10184, 109316, 145813, 54260, 104149, 159696, 1644, 107581, 22753, 10339, 147713, 2882, 8947, 12483, 119055, 13845, 107581, 22753, 65146, 137765, 1470, 75230, 111137, 1982, 12483, 4, 6, 238144, 1644, 220224, 119055, 39083, 96986, 103854, 9213, 46244, 7544, 66317, 56170, 63864, 170355, 40920, 10184, 13845, 101251, 1982, 92605, 159696, 94790, 4944, 4484, 54260, 2882, 21776, 2050, 192544, 5, 9424, 119718, 40697, 1211, 36324, 13845, 107581, 145813, 54260, 104149, 119055, 6093, 12483, 6, 23173, 54260, 23405, 123073, 4944, 35596, 36324, 13845, 107581, 6, 159696, 50273, 29060, 54260, 69801, 2702, 163139, 25616, 75230, 2882, 4, 6, 126700, 12483, 4, 21422, 69801, 13159, 4, 10213, 1982, 17410, 4667, 4, 2200, 4838, 68697, 13159, 5, 8947, 220224, 49008, 56170, 47351, 10184, 109316, 11556, 16932, 2702, 119055, 13845, 107581, 51678, 42493, 8947, 12483, 6319, 54260, 23269, 6, 159696, 50273, 4113, 18415, 17160, 2702, 4, 1470, 75230, 101608, 32054, 40697, 1211, 28726, 96418, 10676, 200795, 1211, 874, 232187, 2882, 4, 2200, 220224, 8947, 12483, 9721, 75230, 2882, 4, 15857, 144295, 75386, 4, 7544, 66317, 4, 6, 44182, 4, 2808, 54260, 6093, 2200, 22753, 36419, 80839, 40920, 5, 34654, 10339, 39083, 8903, 1211, 4151, 69355, 220224, 49008, 36324, 75230, 3069, 211630, 76632, 18415, 1644, 43178, 38054 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 120467, 1285, 7038, 16932, 27702, 236376, 42493, 14856, 46244, 4838, 75386, 6, 47351, 120202, 59919, 3069, 8947, 12483, 215031, 145813, 54260, 4852, 5, 2648, 120467, 192544, 6, 23093, 36609, 133190, 9424, 238144, 6, 170355, 4944, 12483, 152, 8947, 6, 119273, 2200, 620, 29771, 23741, 5, 20033, 49920, 12483, 123736, 23741, 2865, 39083, 163139, 4838, 7038, 16932, 6, 225975, 2882, 152, 137, 62808, 6, 238144, 2702, 12483, 6319, 75230, 2050, 36324, 20033, 151614, 1982, 12483, 4838, 21374, 50856, 2205, 364, 75230, 4852, 5, 155, 13159, 220224, 49008, 1470, 75230, 4667, 56170, 47351, 10339, 21106, 12483, 119055, 10705, 6, 226112, 12483, 148932, 160238, 30473, 40920, 18640, 4484, 54260, 2882, 56170, 63864, 170355, 40920, 7508, 6093, 7038, 16932, 26, 2702, 7544, 66317, 30109, 4113, 24621, 12483, 2205, 10676, 192544, 64699, 2205, 21776, 2050, 207013, 1211, 87311, 96302, 163139, 95455, 192544, 23050, 506, 63532, 1285, 7544, 66317, 5, 7508, 120467, 107776, 160238, 119055, 12483, 1285, 7038, 16932, 657, 54260, 20315, 2882, 3120, 2190, 112595, 23173, 2648, 54260, 2808, 17310, 2200, 3056, 6, 59461, 159696, 4852, 2200, 1470, 75230, 111137, 25207, 98833, 5, 6, 238144, 16932, 220224, 49008, 2648, 29771, 10339, 21106, 12483, 119055, 10705, 1285, 7544, 66317, 3056, 55242, 46244, 6, 29766, 46598, 2205, 6319, 119718, 21106, 131044, 2200, 6319, 119718, 84577, 131044, 4, 92500, 95455, 21374, 50856, 6, 238144, 13497, 6, 238144, 1644, 8947, 3056, 42493, 3069, 94626, 6093, 12483, 5, 17288, 23741, 161459, 3496, 13159, 4, 22518, 37016, 4, 59461, 159696, 4852, 4484, 54260, 2882, 4, 1751, 109636, 18415, 165284, 16747, 12483, 4, 1470, 5, 6428, 5, 4269, 5, 163139, 24152, 12483, 33960, 23741, 18640, 230764, 7508, 6093, 7544, 66317, 5, 2648, 120467, 6, 84577, 159696, 506, 49008, 5, 8947, 107776, 1285, 9424, 54260, 2882, 119055, 12483, 95455, 192544, 65146, 6, 84577, 159696, 506, 13497, 119055, 6093, 12483, 4, 2200, 8947, 364, 77188, 230764, 3069, 145813, 54260, 104149, 7746, 3120, 4151, 7038, 16932, 26, 2702, 7544, 66317, 5, 2648, 120467, 6, 94741, 63020, 6235, 23093, 2884, 119055, 6093, 12483, 7369, 29659, 119055, 12483, 95455, 192544, 37826, 1751, 75230, 1211, 6, 105780, 6293, 84475, 39293, 13805, 9424, 54260, 506, 59461, 4, 84475, 119055, 12483, 8947, 6, 35596, 119718, 125897, 21295, 7746, 72577, 4, 2200, 1285, 7038, 16932, 145813, 54196, 165592, 8947, 874, 40096, 77188, 22753, 3069, 10184, 13845, 1470, 75230, 2702, 5, 22753, 42542, 44064, 151614, 1982, 12483, 7544, 66317, 4, 95298, 22753, 111684, 21295, 55242, 46244, 1470, 75230, 2702, 8903, 101296, 16932, 2882, 5, 1285, 190800, 117260, 2882, 149010, 9424, 54260, 2882, 6681, 6, 62067, 159696, 506, 49008, 4838, 16580, 16747, 3056, 119055, 12483, 8947, 3056, 101251, 8903, 55823, 46244, 4838, 6, 101328, 46244, 6, 186955, 5, 1470, 75230, 1982, 8947, 37826, 9424, 54260, 152848, 71804, 4667, 4, 165354, 8947, 8947, 12483, 4, 1470, 75230, 1982, 14856, 204982, 8947, 133190, 1285, 6, 120749, 93975, 145813, 54260, 4852, 5, 1285, 9424, 54260, 2882, 3120, 6, 84577, 159696, 506, 49008, 119055, 141943, 29060, 7746, 1470, 75230, 4667, 6, 68558, 4151, 7038, 16932, 26, 2702, 3069, 29659, 183512, 4, 2200, 1470, 75230, 4667, 6, 68558, 21776, 2050, 5843, 304, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 48350, 68558, 5, 1470, 75230, 1982, 1285, 7038, 16932, 37826, 6, 159696, 110317, 7544, 66317, 4, 2200, 1285, 6319, 119718, 21106, 131044, 3056, 42493, 6319, 54260, 1211, 26217, 18415, 4, 178748, 18225, 10676, 192544, 160751, 12483, 9934, 75230, 8903, 1211, 9213, 3120, 21776, 2050, 564, 64260, 13845, 9213, 3120, 4151, 9721, 71616, 5, 2808, 75230, 1982, 34654, 7038, 16932, 65146, 2205, 6, 119859, 57619, 12483, 1470, 75230, 7201, 23269, 1982, 12483, 9934, 75230, 8903, 1211, 3120, 4151, 9721, 71616, 4, 170479, 18225, 203326, 71804, 1982, 238144, 4852, 160751, 12483, 14856, 46244, 3120, 4151, 564, 64260, 13845, 9719, 66317, 5, 46598, 3056, 6, 48775, 23093, 170355, 2050, 3069, 8903, 159696, 506, 49008, 48494, 203232, 192544, 119055, 12483, 8947, 119055, 77188, 6, 84577, 159696, 506, 13497, 4, 36324, 13159, 170479, 8947, 12483, 7265, 4838, 17190, 61541, 2200, 81414, 20260, 12483, 3120, 4838, 4269, 212484, 5, 4151, 144754, 56170, 2865, 54260, 20315, 2882, 51723, 1285, 620, 91595, 4113, 6235, 159696, 506, 5927, 54260, 2882, 3120, 192544, 3069, 6, 226112, 8903, 1211, 4838, 564, 64260, 13845, 7265, 7746, 3069, 6, 63188, 6093, 9424, 54260, 2882, 5, 4484, 171127, 149010, 145813, 54260, 4852, 17310, 62808, 160751, 12483, 81444, 234917, 10339, 129071, 12483, 199145, 14856, 42542, 42493, 3069, 123736, 23741, 163139, 35189, 506, 39083, 12483, 6, 19721, 5, 4151, 7038, 16932, 26, 2702, 7544, 66317, 3056, 34654, 10213, 80885, 145813, 54260, 4852, 56170, 10676, 192544, 2819, 6319, 54260, 1211, 4838, 118025, 6093, 145813, 54260, 4852, 42542, 42493, 56170, 100863, 16011, 12483, 119055, 6093, 12483, 4151, 13342, 5, 5442, 7508, 6093, 6, 21106, 23269, 2865, 54260, 59461, 27702, 68566, 6293, 36324, 4151, 7038, 16932, 26, 2702, 7544, 66317, 3056, 123736, 23741, 2865, 39083, 56170, 7511, 23741, 29060, 3056, 42493, 6, 120749, 18640, 28705, 34654, 7038, 16932, 170479, 42493, 6, 84577, 159696, 506, 49008, 9213, 46244, 192544, 43449, 75230, 4852, 4151, 7201, 23173, 199145, 9213, 506, 155045, 66317, 3056, 121193, 71577, 5, 2181, 3056, 10184, 13845, 216333, 36324, 22753, 170479, 160751, 12483, 10676, 192544, 221895, 3131, 22426, 54260, 4852, 4, 364, 75230, 1211, 9213, 46244, 7544, 66317, 5, 48494, 203232, 170479, 6235, 23093, 2884, 119055, 6093, 12483, 125523, 10676, 163139, 95455, 192544, 506, 64260, 1470, 75230, 4944, 8903, 4852, 75230, 13497, 36324, 75230, 10184, 13845, 163139, 874, 43178, 32792, 3120, 7508, 6093, 7038, 16932, 26, 2702, 9721, 71616, 5, 119718, 120467, 8947, 42542, 6, 148346, 23173, 23269, 506, 51723, 10676, 6, 99766, 3120, 4151, 7038, 16932, 26, 2702, 7544, 66317, 2808, 75230, 1982, 1285, 7038, 16932, 42542, 42493, 160751, 12483, 9934, 75230, 8903, 1211, 9213, 46244, 192544, 4, 51678, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 183512, 123073, 145813, 54260, 104149, 2205, 7508, 6093, 123736, 38054, 3111, 23405, 163139, 220224, 119055, 6093, 12483, 6, 90848, 4151, 87311, 13497, 6, 19721, 5, 32054, 54260, 4113, 7544, 66317, 3120, 21374, 506, 199145, 220224, 49008, 32054, 54260, 3120, 1751, 119718, 710, 16747, 46464, 40920, 4, 2200, 199145, 3056, 2442, 54260, 1211, 2200, 32054, 54260, 3120, 564, 129071, 89184, 12483, 5, 5442, 21422, 49008, 2865, 54260, 4667, 4, 6235, 101296, 40920, 130170, 1285, 39293, 1644, 30750, 101251, 105235, 50856, 12483, 5, 6, 28705 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 192183, 20315, 5666, 39248, 15, 2808, 75230, 2702, 8903, 159696, 22426, 18415, 16, 7544, 66317, 4, 95298, 42493, 3069, 8903, 4852, 34533, 29485, 56170, 3131, 54260, 2648, 65482, 114955, 3131, 22426, 54260, 104149, 199145, 14856, 42542, 6319, 75230, 55823, 1211, 5, 119718, 710, 36324, 75230, 3069, 145813, 54260, 104149, 95455, 192544, 2808, 54260, 7511, 8903, 1470, 54260, 5666, 7201, 26612, 107581, 21776, 100863, 12483, 119055, 109316, 1211, 45223, 55823, 1211, 7508, 6093, 7038, 16932, 145813, 54260, 104149, 9213, 46244, 16580, 16747, 4, 1470, 75230, 1982, 2181, 3056, 3120, 133190, 2865, 21106, 12483, 119055, 10705, 13805, 2200, 6235, 119718, 710, 40920, 5, 26612, 22639, 195054, 6, 94741, 63020, 6, 159696, 8903, 1211, 4838, 68550, 22753, 1982, 12483, 2200, 4838, 364, 21106, 1982, 37640, 13497, 4, 9424, 238144, 874, 39083, 6150, 75230, 7916, 13845, 125523, 55242, 13805, 874, 232187, 2882, 4, 2200, 29434, 54260, 874, 39083, 36324, 75230, 10184, 13845, 125523, 1470, 54260, 1211, 6, 101328, 46244, 5, 874, 54260, 2648, 71804, 4667, 159696, 8903, 1211, 22753, 4113, 1982, 12483, 2200, 4838, 10184, 77188, 13845, 37640, 13497, 564, 54260, 2050, 160751, 75230, 25207, 1211, 119055, 6093, 12483, 4, 2200, 6235, 119718, 710, 49008, 2205, 8903, 119718, 710, 40920, 2205, 4151, 207013, 1211, 116486, 22426, 29766, 42180, 163139, 4838, 22639, 195054, 5, 564, 54260, 20315, 6, 159696, 8903, 1211, 101251, 8903, 55823, 46244, 3069, 37640, 193338, 42023, 37640, 13497, 3069, 55242, 13805, 874, 232187, 2882, 5, 13159, 220224, 49008, 56170, 47351, 9424, 238144, 364, 75230, 22426, 2882, 107182, 142429, 12483, 3069, 145813, 54260, 104149, 4838, 192544, 4, 1285, 6319, 21106, 29766, 2442, 54260, 4113, 4, 2200, 34654, 116486, 26394, 50778, 8903, 5, 10069, 200795, 14856, 97634, 20315, 119055, 141943, 29060, 7746, 6, 68558, 4838, 6319, 21106, 29766, 17645, 5, 15, 26612, 6319, 21106, 29766, 17645, 364, 54260, 16803, 1285, 87311, 2702, 119055, 23173, 141564, 54260, 2882, 199145, 8947, 10339, 142429, 77188, 7746, 132025, 13342, 2808, 119718, 23173, 4113, 51723, 1470, 54260, 1211, 21374, 203749, 48775, 2050, 119055, 59929, 6093, 230764, 4838, 54260, 1211, 17824, 93704, 4, 9424, 13845, 4852, 49792, 5, 16, 48494, 203232, 192544, 6235, 13458, 75230, 40920, 4838, 6319, 119718, 84577, 131044, 145813, 54260, 4852, 95766, 116486, 22426, 29766, 42180, 3069, 220224, 1211, 6235, 119718, 710, 40920, 2205, 37640, 13497, 12483, 5, 36324, 75230, 37826, 18225, 1470, 75230, 2702, 8903, 25207, 4944, 35596, 165592, 95455, 192544, 6235, 13458, 75230, 40920, 6, 105780, 6293, 2200, 10184, 6093, 147455, 6319, 21106, 29766, 710, 46598, 145813, 54260, 4852, 56170, 177274, 1211, 37640, 13497, 69355, 220224, 1211, 6235, 119718, 710, 40920, 177274, 10184, 6093, 2200, 9424, 119718, 26612, 109985, 165284, 16747, 12483, 6, 159696, 46244, 35596, 1285, 200795, 29434, 54260, 2648, 120467, 192544, 127875, 2865, 232187, 2882, 6, 1211, 9424, 238144, 2200, 10184, 6093, 147455, 6319, 21106, 29766, 710, 12483, 56170, 6, 63188, 12483, 37640, 13497, 6, 159696, 46244, 35596, 1285, 10339, 39083, 8903, 142170, 29434, 54260, 874, 232187, 2882, 4, 2200, 10184, 6093, 147455, 230764, 177274, 1211, 37640, 13497, 6, 159696, 46244, 35596, 1285, 6, 238144, 16932, 4113, 39293, 13805, 874, 232187, 2882, 5, 36324, 75230, 163139, 7508, 6093, 6319, 21106, 29766, 710, 12483, 159696, 33716 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3120, 148932, 145813, 54260, 4852, 3056, 6235, 5666, 75230, 1982, 233364, 13497, 4, 42542, 18225, 1470, 75230, 2702, 25207, 4944, 171428, 163139, 10184, 13845, 145813, 54260, 4852, 95455, 119166, 2442, 6, 94741, 63020, 151614, 1982, 12483, 5, 10069, 9424, 238144, 18415, 14856, 97634, 20315, 27702, 105235, 506, 2882, 2205, 27702, 236376, 12483, 1285, 116486, 22426, 29766, 42180, 3120, 1285, 7201, 23173, 3131, 54260, 2648, 65482, 145813, 54260, 4852, 109316, 96302, 12483, 2205, 4151, 7038, 16932, 26, 2702, 7544, 66317, 4838, 75386, 4838, 7038, 82576, 5, 2648, 120467, 364, 54260, 16803, 14856, 17824, 54260, 2882, 3069, 4838, 145813, 54260, 4852, 56170, 10676, 192544, 199145, 64769, 23093, 186955, 1285, 39293, 1644, 30750, 80453, 137377, 29766, 42180, 45521, 125830, 4, 116486, 18415, 8580, 4, 48706, 23173, 48253, 4, 84475, 3069, 75290, 4, 163139, 2205, 7508, 6093, 7038, 16932, 26, 2702, 7544, 66317, 5, 95455, 119055, 77188, 6235, 23093, 2884, 37729, 3069, 22426, 48775, 159696, 1211, 1285, 7544, 66317, 3120, 4838, 17806, 506, 84475, 69355, 4838, 6, 147455, 4, 1470, 5, 6428, 5, 4269, 5, 26612, 224220, 1982, 24295, 215726, 3120, 564, 54260, 20315, 58573, 142429, 12483, 42493, 1285, 10213, 80885, 21776, 124740, 57277, 96986, 5, 10069, 9424, 54260, 2882, 3120, 160751, 12483, 9934, 75230, 8903, 1211, 152, 3120, 6235, 28317, 2882, 6, 68558, 78278, 29434, 54260, 874, 232187, 2882, 170479, 51723, 160751, 12483, 9934, 75230, 8903, 1211, 177274, 29434, 54260, 165284, 16747, 12483, 564, 54260, 97634, 2932, 4, 2200, 9424, 238144, 874, 39083, 564, 54260, 76776, 40920, 4, 1470, 54260, 5666, 2865, 39083, 40611, 6, 26394, 42023, 123736, 159696, 13497, 2702, 4, 2200, 95455, 9424, 238144, 18415, 874, 39083, 40611, 9424, 238144, 36324, 54260, 61397, 6, 87311, 95064, 16667, 5, 165592, 75230, 9915, 13845, 163139, 178748, 32792, 170479, 18225, 1470, 75230, 2702, 212484, 12483, 1470, 54260, 5666, 2865, 39083, 9934, 75230, 8903, 1211, 564, 54260, 76776, 40920, 5, 69355, 29434, 54260, 78278, 55242, 13805, 874, 232187, 2882, 170479, 18225, 6, 203326, 71804, 4944, 238144, 4852, 56170, 1644, 141847, 6093, 12483, 1285, 9424, 54260, 2882, 69355, 9934, 75230, 8903, 1211, 78278, 29434, 54260, 2200, 4838, 364, 21106, 1982, 4231, 34079, 50856, 12483, 4, 2200, 4151, 113889, 4667, 78278, 10184, 6093, 165284, 16747, 12483, 5, 69355, 55242, 13805, 874, 232187, 2882, 78278, 4838, 6, 101328, 46244, 170479, 18225, 160751, 12483, 9934, 75230, 8903, 1211, 177274, 10184, 6093, 165284, 16747, 12483, 1982, 54260, 97634, 2932, 2200, 1470, 54260, 5666, 2865, 39083, 564, 54260, 76776, 40920, 5, 10069, 15864, 203232, 145813, 54260, 4852, 564, 54260, 1470, 54260, 1211, 145813, 54260, 4852, 17310, 152, 364, 75230, 47332, 6, 68558, 7265, 29434, 54260, 1470, 9416, 12483, 4, 2200, 113889, 4667, 10676, 200795, 1211, 874, 232187, 2882, 204982, 29434, 54260, 78278, 10184, 6093, 1470, 9416, 12483, 4, 2200, 364, 186955, 6, 68558, 160751, 12483, 20315, 2050, 192544, 7265, 1470, 54260, 16667, 84475, 9424, 238144, 1470, 9416, 12483, 14856, 46244, 3120, 4151, 9424, 39083, 874, 232187, 96986, 199145, 2648, 120467, 192544, 3056, 6, 186955, 4, 95298, 6319, 54260, 5666, 2865, 39083, 42493, 14856, 46244, 3120, 4838, 40920, 1470, 9416, 12483, 564, 54260, 1470, 54260, 1211, 3131, 22426, 54260, 4852, 17310, 5, 56170 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 76961, 51723, 220224, 2882, 21776, 151227, 195164, 18640, 4, 2200, 56170, 55823, 506, 21295, 42493, 1470, 75230, 7201, 13342, 2808, 159696, 165354, 95455, 192544, 564, 54260, 97634, 2932, 119055, 12483, 2181, 107776, 1285, 9424, 54260, 2882, 3120, 9934, 75230, 8903, 1211, 5, 119718, 710, 10184, 13845, 7544, 66317, 3056, 3523, 75230, 15231, 2932, 3069, 564, 165592, 29766, 8903, 1211, 34654, 119055, 92605, 36419, 152848, 564, 54260, 59461, 2200, 1285, 102756, 21733, 12483, 4, 2200, 72577, 67882, 4944, 12483, 7508, 120467, 874, 34533, 199145, 148932, 17190, 1982, 16870, 161459, 6, 29766, 119859, 7511, 103433, 65146, 23173, 75230, 2702, 119718, 23173, 55823, 1211, 705, 3120, 1470, 54260, 16667, 2200, 4838, 364, 21106, 1982, 78278, 9424, 238144, 1470, 9416, 12483, 3069, 177274, 1211, 37640, 13497, 8903, 119718, 710, 40920, 6, 159696, 46244, 35596, 744, 165284, 16747, 12483, 5, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 1470, 75230, 1982, 95455, 192544, 6, 159696, 98833, 6, 26394, 42023, 17268, 13497, 4, 6, 94741, 63020, 8947, 151614, 1982, 12483, 3120, 37640, 193338, 42023, 78278, 9424, 119718, 26612, 109985, 1470, 9416, 12483, 7544, 66317, 3120, 4838, 17806, 506, 17645, 20315, 744, 165284, 16747, 12483, 5, 1470, 54260, 7511, 8903, 564, 54260, 27137, 6, 159696, 195164, 145813, 54260, 4852, 55242, 506, 2882, 44064, 1470, 75230, 2702, 3069, 220224, 1211, 20616, 5666, 32792, 4, 6235, 13458, 75230, 4944, 12483, 95298, 220273, 56170, 3131, 54260, 2648, 65482, 6319, 119718, 84577, 131044, 12483, 7544, 66317, 40611, 36324, 220224, 4852, 39083, 12483, 220224, 1211, 6, 120749, 18640, 7369, 23269, 506, 33716, 5, 1285, 4151, 87311, 194734, 6319, 119718, 84577, 131044, 7544, 66317, 64769, 23093, 186955, 10069, 3523, 75230, 15231, 8903, 874, 120467, 116486, 18415, 8580, 2200, 45521, 2882, 4, 95298, 42493, 6235, 3111, 2932, 3069, 75290, 15, 78683, 68697, 29771, 85465, 175323, 13982, 29789, 125830, 194, 8947, 3056, 1470, 75230, 2702, 8903, 25207, 4944, 35596, 6235, 119718, 29766, 12483, 36324, 1285, 81444, 30473, 8903, 874, 120467, 7544, 66317, 3056, 21847, 54260, 4667, 3069, 49686, 6319, 21106, 29766, 710, 13159, 4, 84475, 6, 29060, 119718, 120467, 119055, 76632, 61397, 163139, 4838, 192544, 3120, 215031, 6235, 119718, 710, 40920, 10339, 142429, 77188, 5, 35189, 27702, 29659, 183512, 2882, 54260, 1644, 3120, 7544, 66317, 152, 34654, 116486, 22426, 29766, 42180, 3120, 45521, 2882, 4, 116486, 18415, 8580, 4, 92500, 48706, 23173, 48253, 2205, 56170, 3131, 54260, 2648, 65482, 114955, 3131, 22426, 54260, 104149, 3056, 163139, 10339, 39083, 98833, 152, 55823, 2882, 361, 116486, 18415, 8580, 6, 4, 5, 48706, 23173, 48253, 2510, 35189, 7038, 16932, 26, 2702, 7544, 66317, 1468, 1468, 1468, 1468, 201, 615, 2588, 361, 9719, 66317, 3120, 7508, 6093, 17806, 506, 1468, 1468, 1468, 1468, 201, 38704, 60061, 147455, 12483, 9719, 66317, 1468, 1468, 1468, 1468, 1468, 1468, 201, 38704, 60061, 24621, 55242, 506, 2882, 6, 21106, 4852, 29771, 36324, 4151, 7038, 16932, 26, 2702, 7544, 66317, 64769, 23093, 186955, 14856, 46244, 3069, 75290, 1470, 54260, 35189, 3742, 87, 13450, 339, 11894, 2624, 66, 2451, 3198, 71, 568, 5, 18, 5843, 617, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 10069, 7544, 66317, 3120, 4838, 17806, 506, 6, 29766, 6093, 6, 42180, 2932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 2200, 14856, 65146, 7508, 23173, 88680, 3069, 8903, 1982, 12483, 3069, 75290, 40611, 36324, 10069, 7544, 66317, 3120, 4151, 17806, 506, 84475, 6, 42180, 2932, 170479, 220224, 1211, 14856, 46244, 6, 20616, 5666, 32792, 3069, 7508, 6093, 7038, 16932, 26, 2702, 5, 20315, 2050, 22518, 54260, 75578, 26, 2702, 7369, 7201, 23173, 2442, 17310, 37826, 1470, 30682, 40653, 8300, 54260, 98833, 36324, 7508, 6093, 10213, 82576, 3069, 75290, 7201, 23173, 215031, 9424, 159696, 4484, 3056, 67882, 28726, 13342, 75290, 4, 2200, 7508, 6093, 113889, 4667, 7544, 66317, 13342, 75290, 5, 6, 90848, 46244, 13342, 75290, 132, 75290, 1211, 24377, 59461, 16, 3056, 42493, 6, 48775, 23093, 170355, 2050, 3069, 6235, 13458, 75230, 4944, 12483, 5, 6, 159696, 46244, 35596, 7508, 6093, 184639, 119718, 29771, 4667, 3120, 21374, 50856, 26, 2050, 17190, 1982, 12483, 204982, 3069, 3069, 4151, 160238, 11556, 28726, 9424, 238144, 6, 147502, 28726, 61541, 874, 21106, 7611, 13342, 75290, 4, 84475, 1470, 54260, 1211, 17190, 61541, 7544, 66317, 13342, 75290, 5, 56170, 23847, 13159, 77188, 1285, 117902, 2442, 42180, 1751, 179857, 43178, 238144, 4852, 78278, 10184, 6093, 17190, 61541, 3120, 200795, 1211, 84475, 29434, 54260, 3120, 9424, 238144, 96986, 4, 78278, 95455, 192544, 159696, 98833, 6, 26394, 42023, 37640, 13497, 2819, 4151, 113889, 4667, 204982, 3069, 6, 105780, 6293, 2200, 1751, 109636, 16932, 55242, 13805, 17190, 61541, 874, 21106, 7611, 13342, 75290, 4, 84475, 10184, 6093, 78278, 6, 105780, 6293, 17190, 61541, 7544, 66317, 13342, 75290, 5, 42493, 42493, 10676, 192544, 14856, 46244, 119718, 710, 1285, 4113, 39293, 6319, 119718, 84577, 131044, 4, 178748, 7369, 220224, 1211, 163139, 6235, 119718, 710, 40920, 18640, 5, 36419, 2865, 109636, 448, 3120, 160238, 146079, 46598, 152, 20033, 119055, 109316, 1211, 137765, 564, 40096, 48775, 1982, 96986, 1470, 54260, 7511, 8903, 73095, 2865, 109636, 78651, 3120, 160238, 43375, 46598, 230764, 4838, 6, 80453, 129071, 40697, 1211, 185527, 5, 20033, 7038, 104149, 95298, 3069, 6093, 29659, 48775, 23093, 12483, 7508, 6093, 7038, 16932, 36324, 22753, 170479, 55242, 42023, 36324, 1285, 6319, 171127, 149010, 145813, 54260, 4852, 170479, 64769, 23093, 21106, 96986, 29060, 119718, 120467, 119055, 76632, 61397, 45521, 2882, 4, 116486, 18415, 8580, 4, 2200, 3069, 75290, 1470, 54260, 35189, 4151, 7038, 16932, 26, 2702, 7544, 66317, 4, 238144, 1644, 95455, 192544, 3056, 42493, 6235, 119718, 2808, 75230, 13497, 3069, 7508, 6093, 3523, 54260, 6093, 145813, 54260, 4852, 4, 2200, 14856, 65146, 1470, 30682, 8903, 1982, 12483, 4838, 203326, 13845, 9424, 54260, 2882, 3069, 23269, 159696, 506, 49008, 7746, 2819, 4151, 113889, 4667, 42542, 18225, 1751, 75230, 1211, 160751, 12483, 1285, 6, 120749, 93975, 116486, 22426, 29766, 42180, 3120, 1285, 1470, 75230, 1982, 12483, 35189, 87311, 194734, 6, 109316, 96302, 12483, 4, 78278, 7369, 6235, 119718, 41595, 6235, 119718, 710, 47332, 5, 178766, 9424, 159696, 4484, 3056, 3069, 6, 35596, 119718, 7682, 1644, 12483, 22444, 152848, 4, 203013, 4113, 4, 43649, 23173, 39340, 114955, 5, 1644, 29771, 62808, 6, 225975, 12483, 36324, 48494, 203232, 192544, 223229, 106, 3056, 4838, 119055, 29771, 4667, 6, 186955, 4, 6, 159696, 98833, 22753, 4113, 1982, 12483, 2200, 26612, 364, 21106, 1982, 37640, 13497, 4, 2200, 3056, 203013, 2200 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1751, 57277, 24152, 5, 220224, 1211, 7038, 16932, 42542, 1470, 30682, 95298, 42493, 8903, 1982, 12483, 9934, 75230, 8903, 1211, 5, 14856, 65146, 56170, 1470, 30682, 6, 23093, 2884, 48494, 203232, 10339, 39083, 8903, 152848, 152, 10069, 9424, 39083, 4231, 22426, 54260, 4852, 33104, 49008, 177274, 10184, 6093, 2200, 9424, 119718, 26612, 109985, 165284, 16747, 12483, 4, 292, 2861, 10069, 6319, 119718, 84577, 131044, 145813, 54260, 4852, 564, 54260, 148932, 4231, 22426, 54260, 4852, 17310, 4, 292, 138, 2190, 57619, 13159, 5, 10069, 9424, 54260, 2882, 3120, 145813, 54260, 104149, 152, 177274, 29434, 54260, 165284, 16747, 12483, 564, 54260, 97634, 2932, 4, 2200, 177274, 10184, 6093, 29659, 88917, 12483, 564, 54260, 76776, 40920, 5, 10069, 6319, 119718, 84577, 131044, 145813, 54260, 4852, 6, 159696, 46244, 35596, 10184, 6093, 2200, 9424, 119718, 26612, 109985, 165284, 16747, 12483, 292, 952, 2808, 9416, 12483, 5, 10069, 3523, 75230, 15231, 8903, 9424, 39083, 6319, 21106, 29766, 710, 12483, 15, 115250, 2808, 134463, 4, 292, 6, 129176, 6319, 21106, 29766, 710, 12483, 5, 10069, 116486, 22426, 29766, 42180, 3120, 34654, 145813, 54260, 4852, 109316, 96302, 12483, 4, 292, 1285, 39293, 1644, 30750, 163139, 7508, 6093, 7038, 16932, 26, 2702, 9719, 66317, 5, 10069, 3523, 75230, 15231, 8903, 6319, 119718, 84577, 131044, 7544, 66317, 15, 88438, 1470, 9416, 12483, 230764, 177274, 1211, 37640, 13497, 3120, 6235, 119718, 710, 40920, 4, 29771, 35189, 361, 2592, 1470, 25837, 247, 292, 101251, 8903, 55823, 46244, 534, 1470, 9416, 12483, 5, 10069, 6319, 119718, 84577, 131044, 3069, 75290, 199145, 6, 94741, 63020, 3069, 8903, 8903, 1982, 12483, 119055, 6093, 12483, 3069, 4151, 7544, 66317, 4, 292, 1530, 2190, 129891, 5, 10069, 160238, 11556, 28726, 27702, 105235, 506, 2882, 6, 21106, 4852, 29771, 3120, 1285, 10339, 39083, 8903, 152848, 16175, 54260, 1644, 12483, 152, 9719, 66317, 1468, 1468, 1468, 153, 5, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 6, 5, 534, 1470, 9416, 12483, 13342, 75290, 153, 5, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 427, 2190, 69106, 8903, 88660, 4944, 18415, 119055, 59929, 6093, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 209, 1470, 9416, 12483, 2932, 15907, 6, 136108, 54260, 2190, 57619, 13159, 3120, 1285, 48350, 6093, 160238, 11556, 28726, 177274, 29434, 54260, 165284, 16747, 12483, 5, 2648, 120467, 3056, 34076, 54260, 4667, 3069, 49686, 6319, 21106, 29766, 710, 12483, 4, 199145, 3056, 6, 29060, 119718, 120467, 119055, 76632, 61397, 3120, 34654, 6, 129176, 4484, 21106, 29766, 710, 12483, 199145, 48494, 203232, 21374, 50856, 6235, 13458, 75230, 40920, 2205, 1285, 48350, 6093, 895, 16932, 5, 95298, 199145, 3056, 1285, 2648, 120467, 192544, 104043, 104283, 45521, 125830, 4, 100920, 178021, 116486, 18415, 8580, 4, 2200, 6, 165131, 3069, 75290, 5, 1470, 75230, 1982, 20033, 119055, 109316, 1211, 56170, 21847, 54260, 4944, 12483, 1285, 81444, 30473, 8903, 160238, 11556, 28726, 7265, 7508, 6093, 7038, 16932, 26, 2702, 7544, 66317, 4, 119055, 109316, 1211, 20033, 55242, 42023, 36324, 1285, 160238, 2865, 109316, 64769, 23093, 186955, 3069, 10184, 13845, 116486, 18415, 8580, 2200, 42493, 6235, 3111, 2932, 45521, 2882, 2200, 3069, 75290, 5, 95298, 20033, 119718, 15350, 12483, 95298, 10676, 192544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 160751, 12483, 4838, 145813, 54260, 4852, 199145, 170479, 220224, 1211, 3069, 8903, 22426, 59929, 2882, 56170, 1470, 30682, 5, 2648, 23173, 88680, 3056, 216333, 657, 75230, 168155, 67882, 4944, 12483, 1285, 7544, 66317, 2200, 67882, 4944, 12483, 4838, 160238, 11556, 28726, 199145, 119055, 29060, 35596, 506, 21106, 96986, 64699, 1285, 207013, 874, 120467, 116486, 18415, 8580, 163139, 4151, 7038, 16932, 26, 2702, 7544, 66317, 5, 6, 21106, 4852, 142429, 710, 10213, 80885, 160238, 11556, 28726, 3056, 132025, 7201, 48904, 2932, 2702, 1285, 10339, 39083, 8903, 152848, 152, 2932, 48904, 26394, 7544, 66317, 1468, 6, 5, 1468, 1468, 1468, 1468, 153, 1468, 1468, 1468, 6, 5, 361, 1470, 9416, 12483, 13342, 75290, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 6, 5, 106, 2190, 129891, 8903, 88660, 4944, 18415, 119055, 59929, 6093, 1468, 1468, 1468, 1468, 1468, 153, 5, 1468, 1468, 1468, 616, 1470, 9416, 12483, 10069, 160238, 11556, 28726, 64769, 23093, 186955, 615, 2485, 14889, 116486, 18415, 8580, 4, 615, 9185, 5046, 45521, 2882, 4, 2200, 126877, 3069, 75290, 5, 2648, 120467, 3056, 34076, 54260, 4667, 3069, 1781, 6319, 21106, 29766, 710, 12483, 5, 1470, 75230, 1982, 9213, 46244, 163139, 21295, 42493, 165284, 79761, 12483, 1285, 32887, 29766, 17645, 163139, 8947, 3056, 81444, 40653, 8903, 8903, 1982, 12483, 6235, 119718, 29766, 12483, 4, 6428, 47351, 204982, 1470, 54260, 6093, 192544, 1285, 48350, 79238, 22426, 54260, 4852, 5, 657, 29771, 62808, 6, 225975, 12483, 36324, 1285, 4113, 39293, 160238, 11556, 28726, 3056, 17824, 93704, 3069, 8903, 22426, 59929, 2882, 73784, 192544, 3111, 46685, 615, 95455, 364, 54260, 16803, 7369, 37826, 42493, 6319, 54260, 23269, 30109, 4113, 24621, 12483, 4, 2200, 4151, 120202, 7201, 21106, 6, 238144, 4852, 57277, 4852, 7369, 56170, 2648, 54260, 29060, 72577, 1285, 145813, 54260, 4852, 5, 8947, 23050, 506, 63532, 101251, 8903, 55823, 46244, 9424, 238144, 193012, 95455, 3069, 30750, 105235, 15231, 8903, 1211, 2200, 4151, 113889, 4667, 170479, 18225, 3069, 8903, 1982, 12483, 6, 47351, 2190, 129891, 7544, 66317, 2200, 6, 47351, 2190, 129891, 3069, 75290, 4, 92500, 4838, 159696, 4484, 23269, 506, 51723, 1470, 54260, 1211, 2190, 129891, 119055, 59929, 6093, 5, 2205, 9424, 238144, 193012, 4838, 68550, 170479, 18225, 3069, 8903, 1982, 12483, 113889, 4667, 6, 47351, 2190, 129891, 7544, 66317, 2819, 2200, 6, 47351, 2190, 129891, 170479, 193012, 32792, 3069, 8903, 8903, 1982, 12483, 119055, 6093, 12483, 4, 78278, 1285, 3131, 22426, 54260, 4852, 67826, 63532, 7265, 21776, 2050, 7038, 82576, 199145, 20033, 151614, 1982, 12483, 27702, 97634, 13497, 2205, 1285, 160238, 93975, 22426, 23173, 26612, 2932, 48775, 55823, 1211, 5, 119055, 12483, 95455, 192544, 23050, 506, 63532, 1470, 54260, 1211, 2190, 129891, 2200, 4838, 364, 21106, 1982, 7544, 66317, 230764, 710, 16870, 12483, 37640, 13497, 3120, 6235, 119718, 710, 40920, 4, 2200, 10184, 6093, 17190, 61541, 67882, 79981, 13342, 75290, 4, 84475, 29434, 54260, 17190, 61541, 9719, 66317, 13342, 75290, 4, 170479, 7369, 6235, 119718, 710, 49008, 2205, 6235, 119718, 710, 40920, 5, 3069, 1470, 54260, 1211, 874, 232187, 2882, 170479, 7369, 6, 159696, 8903, 1211, 26612, 40920, 37640, 13497, 2200, 6, 26394, 42023, 1470, 9416, 12483, 4, 2200, 1285, 160238, 11556, 28726 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 170479, 220224, 1211, 163139, 10339, 39083, 98833, 152, 9719, 66317, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 6, 5, 1468, 1468, 1468, 1468, 6, 5, 702, 2489, 1470, 9416, 12483, 13342, 75290, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 6, 5, 106, 2190, 129891, 119718, 59929, 6093, 6, 5, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 534, 1837, 1470, 9416, 12483, 7916, 6093, 1470, 9416, 12483, 145813, 54260, 4852, 170479, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 10676, 192544, 564, 54260, 1470, 54260, 1211, 145813, 54260, 4852, 17310, 4, 92500, 1285, 4113, 39293, 874, 120467, 145813, 54260, 4852, 170479, 132025, 8903, 506, 21106, 96986, 119055, 6093, 12483, 78278, 95455, 192544, 119055, 77188, 29434, 54260, 2865, 232187, 2882, 6, 186955, 4, 2200, 6428, 47351, 170479, 18225, 1470, 30682, 160751, 12483, 6, 105780, 6293, 1470, 9416, 12483, 564, 54260, 148932, 145813, 54260, 4113, 17310, 5, 95455, 192544, 223229, 106, 3056, 137765, 29434, 54260, 874, 232187, 2882, 6, 186955, 4, 2200, 6, 159696, 98833, 101251, 8903, 55823, 46244, 534, 1530, 37640, 13497, 5, 220224, 1211, 116486, 2932, 48775, 2050, 170479, 3120, 137765, 6, 68558, 220224, 1211, 163139, 10339, 39083, 98833, 152, 10069, 9424, 39083, 145813, 54260, 4852, 109226, 1468, 6, 5, 1468, 1468, 6, 5, 1468, 1468, 1468, 6, 5, 361, 4484, 119718, 84577, 131044, 3120, 4838, 145813, 54260, 4852, 17310, 6, 5, 6, 5, 1468, 1468, 1468, 1468, 190, 1470, 9416, 12483, 2882, 64260, 21106, 6, 63188, 12483, 166464, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 2273, 1470, 9416, 12483, 9719, 66317, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 729, 4015, 1470, 9416, 12483, 13342, 75290, 6, 5, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 534, 1530, 1470, 9416, 12483, 8903, 88660, 4944, 18415, 119055, 59929, 6093, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 702, 1819, 1470, 9416, 12483, 10069, 3523, 75230, 15231, 8903, 6319, 21106, 29766, 710, 12483, 153, 1468, 1468, 1468, 1468, 1468, 6, 5, 6, 161382, 10069, 9424, 39083, 6319, 21106, 29766, 710, 12483, 2205, 4151, 160238, 11556, 28726, 6, 5, 1468, 1468, 6, 5, 305, 1549, 158332, 2932, 15907, 6, 203326, 71804, 4944, 238144, 4852, 4838, 17824, 13159, 123073, 874, 120467, 7544, 66317, 2200, 14856, 46244, 145813, 54260, 4852, 4, 78278, 95455, 192544, 129971, 35189, 10339, 26612, 123559, 12483, 2648, 129071, 29766, 159696, 33716, 55242, 13805, 874, 232187, 2882, 4838, 33716, 4, 119055, 12483, 220224, 1211, 6235, 119718, 710, 40920, 6, 94741, 63020, 220224, 1211, 423, 37640, 13497, 4, 2200, 220224, 1211, 3131, 22426, 54260, 4852, 6, 94741, 63020, 220224, 1211, 163139, 7369, 160238, 13497, 5, 12415, 9424, 39083, 3523, 22426, 54260, 4852, 24295, 49008, 1468, 1468, 1468, 6, 5, 364, 84475, 305, 4484, 119718, 84577, 131044, 3120, 1470, 54260, 1211, 4231, 148346, 54260, 4852, 17310, 1468, 1468, 1468, 1468, 15111, 1470, 9416, 12483, 2882, 64260, 21106, 6, 63188, 12483, 16175, 171433, 1468, 1468, 1468, 1468, 1468, 6, 5, 1112, 13023, 1470, 9416, 12483, 10069, 9424, 54260, 2882, 3120, 4231, 148346, 54260, 905, 12483, 1468, 1468, 1468, 1468, 1468, 153, 4231, 123073, 201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 165284, 16747, 12483, 2932, 48904, 26394, 16175, 54260, 4667, 1468, 1468, 1468, 1468, 1468, 1468, 30147, 6, 5, 16011, 29259, 1197, 1470, 9416, 12483, 13342, 75290, 1468, 1468, 1468, 1468, 1468, 1468, 106, 29259, 710, 418, 1470, 9416, 12483, 8903, 88660, 4944, 18415, 119055, 23173, 6093, 84475, 6, 109600, 63188, 137377, 54260, 23829, 17310, 1468, 6, 29259, 418, 5, 710, 12183, 1470, 9416, 12483, 10069, 48350, 13159, 85310, 6093, 137377, 4852, 54260, 2808, 24295, 5666, 119055, 77188, 23050, 1982, 26612, 47332, 6, 148346, 8580, 123736, 15907, 9719, 1644, 4, 564, 23173, 7972, 24621, 87637, 4, 84475, 69355, 6, 44182, 123736, 119718, 11211, 75230, 2882, 5, 10213, 23050, 506, 13497, 4838, 16175, 24295, 25207, 59919, 3120, 1470, 54260, 119132, 3120, 1285, 81444, 30473, 8903, 115398, 17645, 78651, 2205, 4838, 112216, 41595, 119055, 23173, 6093, 4, 14856, 6, 88660, 40920, 2181, 29434, 54260, 6, 15907, 88917, 12483, 2205, 4838, 48494, 200117, 22849, 75230, 2442, 6093, 4, 2200, 14856, 204982, 3069, 119055, 26612, 104238, 4, 21776, 136108, 24295, 2181, 119055, 77188, 4838, 159696, 4484, 8903, 4852, 64260, 12483, 5, 506, 23173, 2882, 47833, 56170, 23847, 13159, 6093, 12483, 1285, 15864, 4944, 3523, 22426, 54260, 1211, 4, 95298, 42493, 6319, 54260, 91275, 29766, 42493, 14856, 46244, 69355, 1470, 54260, 1211, 6319, 119718, 99766, 7544, 66317, 2205, 564, 6, 111179, 16747, 12483, 4, 78278, 48494, 200117, 192544, 119055, 77188, 4838, 40920, 874, 232187, 57277, 33716, 4, 2200, 3120, 7508, 47351, 47833, 42542, 7369, 81414, 20260, 12483, 4269, 48904, 26394, 16175, 54260, 4667, 5, 3069, 6, 64260, 7508, 6093, 9424, 54260, 2882, 42542, 51723, 132025, 506, 54260, 1982, 12483, 160751, 12483, 221895, 4231, 148346, 54260, 104149, 4, 163139, 6, 44182, 123736, 119718, 364, 119718, 15907, 6, 68959, 17645, 7972, 4, 123736, 36609, 62808, 6, 68959, 59461, 710, 4, 84475, 23050, 710, 115536, 4113, 7508, 54260, 4852, 5, 4838, 4113, 6, 144295, 25603, 9934, 20961, 12483, 6235, 88660, 40920, 119055, 6093, 12483, 29434, 54260, 29659, 88917, 12483, 4, 2205, 170479, 12483, 132025, 7201, 48904, 66293, 3523, 65482, 1982, 12483, 119055, 6093, 12483, 2205, 30109, 54260, 23269, 117902, 29025, 710, 13159, 5, 159696, 1211, 18225, 4231, 22426, 54260, 36609, 19024, 1982, 192544, 21374, 91275, 65848, 4667, 4, 40653, 506, 75230, 22426, 2882, 119055, 12483, 14856, 6235, 13458, 75230, 40920, 8903, 88660, 4944, 18415, 19532, 6093, 192183, 104238, 54260, 2442, 18415, 16175, 54260, 4667, 4, 9934, 20961, 18225, 3069, 8903, 1982, 12483, 23784, 6093, 123736, 189623, 50273, 170355, 23741, 4, 84475, 34654, 6, 170355, 23741, 3120, 6, 148346, 54260, 4113, 6, 29766, 6093, 192183, 104238, 119718, 9221, 18415, 16175, 239162, 710, 105439, 4, 40611, 3069, 1982, 165592, 29766, 8903, 1211, 95455, 192544, 7265, 7508, 6093, 3523, 75230, 2882, 161459, 874, 120467, 163139, 57277, 9719, 49008, 5, 10069, 1470, 75230, 184537, 710, 47332, 40653, 564, 109636, 42180, 28726, 6, 29766, 119859, 49008, 2808, 75230, 8903, 1211, 5, 1285, 10213, 506, 68697, 18415, 10339, 21106, 12483, 10339, 29771, 35189, 12483, 47833, 34654, 3523, 75230, 69452, 84475, 4151, 2648, 218241, 205416, 170479, 6, 23173, 54260, 5666, 154289, 12483, 2205, 22639, 1470, 54260, 1211, 46711, 137377, 12483, 3120, 4838, 1751, 119718, 26612, 104238, 3373, 39083 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29260, 68558, 69355, 6, 44693, 159696, 164863, 54260, 186145, 15907, 4, 123736, 25207, 6, 29060, 119718, 29771, 1982, 6, 20616, 100863, 16011, 13159, 4, 119055, 12483, 95455, 192544, 119055, 77188, 160751, 75230, 25207, 1211, 5, 1285, 1470, 75230, 8903, 1211, 170479, 12483, 4151, 113889, 4667, 32887, 50856, 18167, 6235, 119718, 26612, 710, 12483, 119055, 6093, 12483, 7265, 564, 29766, 7682, 8947, 15435, 5, 2808, 75230, 1982, 119055, 29060, 48494, 203232, 192544, 42493, 6, 23173, 54260, 5666, 199511, 3069, 40026, 506, 2205, 4838, 3069, 45223, 6093, 4, 1751, 23173, 59919, 3944, 40920, 4, 119055, 6093, 12483, 6, 144295, 39293, 7508, 9221, 37016, 10918, 239162, 1211, 45223, 55823, 1211, 1470, 75230, 7201, 13342, 506, 21106, 96986, 1285, 1470, 75230, 8903, 1211, 95766, 4838, 221067, 1211, 9424, 75230, 57277, 50856, 5, 10069, 6, 113889, 4852, 5, 114955, 51678, 42493, 3523, 5666, 54260, 2882, 26394, 1211, 1285, 3523, 68558, 4, 2200, 7508, 23173, 88680, 6, 235210, 13845, 2882, 7746, 123736, 23741, 6, 68558, 6, 148346, 710, 13845, 6, 15350, 54260, 2050, 2205, 3523, 68558, 5, 48494, 203232, 42542, 657, 54260, 40920, 6, 23173, 75230, 2702, 139449, 119055, 6093, 12483, 7265, 4838, 43649, 54260, 6293, 23173, 73136, 8903, 119718, 125897, 21295, 3523, 46545, 13845, 137, 26612, 1982, 4852, 29766, 1982, 35596, 6, 78683, 28320, 2004, 1470, 54260, 23405, 29060, 33104, 165354, 2205, 119055, 165592, 13845, 8580, 4, 199145, 119055, 77188, 6, 23173, 54260, 5666, 8903, 105235, 20911, 2205, 6, 113889, 4852, 5, 4151, 620, 54260, 2050, 159696, 2882, 6, 23173, 75230, 2702, 104378, 7265, 7508, 6093, 119055, 174121, 4, 2200, 48494, 203232, 192544, 119055, 29060, 216333, 6, 64260, 506, 4113, 51723, 5, 10069, 1470, 75230, 6093, 12483, 5, 21776, 2050, 192544, 26, 2702, 1470, 75230, 6093, 12483, 170479, 12483, 6319, 54260, 5666, 2865, 39083, 42493, 6, 61397, 54260, 110317, 2882, 119055, 6093, 12483, 7265, 4838, 6, 136108, 64260, 114436, 151614, 12415, 22426, 9221, 39340, 5, 6235, 13458, 75230, 40920, 95455, 199145, 20033, 151614, 1982, 12483, 133190, 119055, 29771, 2050, 21776, 88660, 24621, 16747, 54196, 56170, 4151, 3523, 68558, 5, 23269, 710, 28726, 47332, 2050, 97594, 35189, 12, 1285, 4113, 39293, 170479, 12483, 193012, 32792, 1470, 75230, 2702, 8903, 119718, 26612, 3131, 12483, 159696, 25207, 1211, 4, 2200, 2205, 874, 48904, 107581, 114955, 170479, 18225, 95455, 6, 23093, 2884, 234917, 874, 39083, 4, 40611, 36324, 4852, 54260, 170479, 12483, 220224, 1211, 2205, 4838, 72577, 6093, 3523, 117687, 17310, 5, 95455, 3056, 163139, 40920, 18640, 3373, 54260, 2205, 1470, 23174, 71804, 4667, 4, 2702, 54260, 2205, 874, 54260, 2648, 71804, 4667, 5, 4484, 71577, 15907, 13845, 5606, 2648, 120467, 30109, 48904, 39340, 192544, 13159, 3056, 4838, 17824, 75230, 36419, 116486, 130929, 2050, 56170, 4838, 7038, 16932, 84475, 3523, 75230, 69452, 1470, 75230, 7201, 13342, 22426, 59929, 12483, 2808, 75230, 6293, 4838, 203013, 192544, 4, 95298, 8947, 3056, 6, 26394, 42023, 874, 39083, 4838, 17824, 4113, 1982, 123073, 1470, 75230, 7201, 119859, 30750, 1470, 75230, 46104, 120467, 192544, 119055, 77188, 6319, 48775, 20260, 5, 21374, 50856, 6093, 220224, 49008, 55242, 46244, 364, 15350, 7201, 212484, 4, 2200, 51678, 1470, 75230, 92904, 7682, 12483, 220224, 123073, 6235, 91163, 1644, 12483, 43449 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 4852, 37729, 6, 238144, 49008, 5, 6428, 23173, 88680, 6, 94741, 63020, 177274, 7038, 16932, 7201, 23173, 105235, 42023, 1285, 56170, 3131, 54260, 2648, 65482, 6, 97933, 6, 238144, 49008, 3120, 9213, 46244, 192544, 5, 4151, 6, 238144, 49008, 3120, 506, 17310, 6093, 364, 77188, 230764, 119055, 12483, 95455, 192544, 3056, 3069, 94626, 6093, 12483, 7265, 7508, 6093, 145813, 54260, 4852, 5, 2181, 3056, 7511, 2882, 6319, 54260, 1211, 6, 17800, 83811, 26, 2648, 161459, 6235, 238144, 1211, 4, 133190, 4838, 4151, 174763, 23269, 50856, 6093, 4, 199145, 10339, 142429, 77188, 2808, 75230, 7201, 46685, 4484, 235210, 4484, 54260, 2882, 5, 4151, 6235, 238144, 1211, 3120, 119055, 20616, 97634, 2932, 4, 95298, 4, 3056, 4838, 1751, 23173, 59919, 4, 6, 70380, 4944, 13982, 23174, 192539, 4, 2200, 364, 77188, 42493, 230764, 78278, 7508, 6093, 119055, 20616, 97634, 2932, 119055, 77188, 6235, 9719, 50853, 77188, 5, 2181, 165354, 6235, 9719, 50853, 77188, 119055, 6093, 12483, 37729, 1470, 75230, 29111, 75230, 1982, 12483, 95455, 192544, 230764, 4838, 6, 238144, 28726, 2819, 95298, 7201, 39083, 88660, 2865, 65482, 107189, 2442, 6093, 17310, 107776, 133190, 3120, 564, 165592, 54260, 15231, 8903, 1211, 10676, 119055, 20616, 97634, 2932, 5, 2205, 137, 24621, 7511, 16747, 30473, 26612, 710, 92178, 155, 1054, 35596, 10918, 16747, 33104, 5666, 3120, 67882, 81455, 506, 54260, 18415, 1644, 247, 3056, 4151, 6235, 238144, 1211, 564, 165592, 29771, 83182, 2702, 6, 95494, 63020, 2200, 190800, 136108, 23174, 141943, 152, 119055, 12483, 7508, 120467, 192544, 37826, 82977, 87311, 142170, 4, 364, 77188, 7746, 26612, 564, 23173, 129071, 6093, 34533, 127684, 30109, 4113, 4944, 26394, 1211, 5, 177274, 7038, 16932, 170479, 165284, 79761, 12483, 1285, 4113, 39293, 3069, 29659, 183512, 12483, 4, 40611, 36324, 22753, 170479, 51678, 2205, 4838, 46050, 147502, 12483, 3069, 29659, 183512, 160751, 12483, 11211, 108968, 1470, 54260, 35189, 4151, 7508, 218241, 205416, 107776, 5, 2205, 107189, 20315, 10339, 21106, 12483, 42542, 22753, 123736, 23741, 2865, 39083, 1470, 54260, 110970, 22426, 29766, 12483, 1285, 37016, 150349, 172398, 13159, 3120, 4838, 81444, 20911, 29766, 26, 2050, 163139, 4852, 15907, 4, 132025, 159696, 16747, 186797, 1285, 6, 80453, 129071, 40697, 163139, 2702, 43178, 95494, 23741, 199145, 22753, 37826, 7369, 119718, 29766, 1982, 12483, 5, 26612, 6319, 48775, 20260, 192544, 3056, 178748, 32792, 6, 59461, 159696, 168155, 2200, 6319, 71577, 162642, 59461, 163139, 6235, 159696, 506, 5666, 32792, 4, 92500, 56170, 71804, 23405, 2882, 36324, 1285, 7038, 16932, 170479, 9213, 506, 1982, 6, 76776, 4944, 208048, 16747, 364, 21106, 96986, 230764, 1285, 364, 35596, 5, 238144, 16932, 42542, 46711, 73381, 12483, 36324, 48494, 203232, 192544, 170479, 119055, 109316, 1211, 36324, 14856, 170479, 1470, 30682, 6, 212484, 12483, 72308, 77525, 5, 2205, 215031, 10339, 21106, 3944, 35596, 4151, 19302, 54260, 7511, 48253, 75290, 67826, 44478, 506, 54260, 2882, 4, 7265, 1285, 364, 35596, 1982, 54260, 1285, 220224, 96986, 4, 2200, 95455, 874, 75230, 1644, 6, 29060, 119718, 120467, 1470, 75230, 111137, 73381, 35596, 5, 34654, 3069, 23405, 4, 119055, 13845, 107581, 6235, 7916, 13497, 7746, 23050, 159696, 506, 5666, 32792, 1470, 75230, 1982, 12483, 2205, 874, 75230, 1644, 4, 657, 17645, 98833, 137765, 2190, 13497, 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 ]
[ 5, 48494, 203232, 6, 64260, 506, 4113, 51723, 3056, 6, 127684, 6093, 119055, 12483, 2181, 3056, 56170, 47351, 10184, 75578, 4, 1285, 364, 75230, 2882, 3056, 364, 54260, 2050, 4, 2200, 1285, 3944, 109636, 1211, 220224, 49008, 6, 110129, 165354, 5, 21106, 8903, 2865, 54260, 23269, 21776, 21847, 12483, 56170, 4151, 7038, 16932, 4484, 54260, 59461, 7369, 119718, 23173, 18415, 2882, 42493, 36324, 1285, 7038, 16932, 1054, 39083, 220224, 1211, 4838, 81444, 20911, 29766, 2819, 95298, 22753, 4852, 39083, 6, 159696, 110317, 80885, 16667, 163139, 2702, 12483, 119055, 12483, 48494, 203232, 192544, 3056, 6319, 48775, 20260, 4, 2200, 132025, 159696, 16747, 12483, 1470, 54260, 5666, 7201, 26612, 107581, 174538, 12483, 3069, 107189, 35189, 12483, 1285, 30109, 48904, 15307, 54260, 2882, 5, 20033, 119055, 109316, 1211, 81444, 160751, 12483, 234917, 21106, 8903, 2865, 54260, 23269, 21776, 21847, 12483, 119055, 13845, 107581, 1285, 7038, 16932, 42542, 10339, 39083, 8903, 1211, 152, 119718, 59929, 6093, 81414, 20260, 12483, 12, 1470, 75230, 1982, 95455, 192544, 37826, 10184, 75578, 4, 170479, 18225, 8947, 160751, 12483, 65848, 20260, 12483, 10184, 13845, 119055, 59929, 6093, 5, 56170, 220273, 4231, 17310, 4113, 114955, 170479, 1285, 119055, 26612, 75578, 132025, 8903, 119718, 23173, 63593, 2882, 119055, 6093, 12483, 78278, 4151, 207013, 2442, 32887, 2865, 149364, 40096, 14303, 163139, 1285, 7544, 66317, 119055, 29771, 2050, 2181, 6235, 13458, 75230, 40920, 5, 13845, 16932, 4113, 114955, 178748, 12483, 81414, 20260, 12483, 6319, 21106, 18415, 119055, 59929, 6093, 5, 119055, 12483, 48494, 203232, 192544, 3056, 6319, 48775, 20260, 4, 68313, 6, 48775, 23093, 170355, 2050, 1470, 30682, 3069, 6, 212484, 12483, 10339, 59929, 96986, 234917, 165284, 16747, 12483, 5, 39293, 506, 2882, 36324, 12415, 6, 81371, 16847, 6235, 35189, 448, 220224, 1211, 123736, 55823, 1211, 5, 1470, 75230, 1982, 8947, 1065, 115021, 268, 144827, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 68313, 56170, 47351, 4838, 3523, 54260, 2932, 17310, 3069, 56170, 29659, 137377, 17310, 4, 119055, 29060, 10184, 13845, 45223, 55823, 1211, 4838, 119055, 23173, 4113, 46685, 65902, 82576, 5, 177274, 7038, 16932, 170479, 163139, 2702, 12483, 163139, 3069, 160751, 12483, 4838, 65902, 82576, 3069, 9213, 46244, 192544, 4, 238144, 1644, 95455, 3056, 10184, 13845, 216333, 1470, 54260, 35189, 6, 47351, 120202, 111684, 155045, 18415, 1644, 4, 199145, 65146, 190800, 8903, 42023, 21106, 4113, 21374, 126968, 2702, 5, 14856, 42542, 6235, 13458, 75230, 4944, 12483, 4838, 19302, 54260, 119132, 114955, 3131, 80453, 710, 89930, 2819, 95298, 2181, 506, 186955, 36324, 75230, 6, 159696, 110317, 119055, 59929, 6093, 4, 2200, 1285, 9181, 23741, 29434, 23174, 2882, 36324, 75230, 657, 54260, 40920, 6, 23173, 54260, 1211, 37729, 215031, 3131, 80453, 710, 89930, 4, 95455, 20033, 6, 48775, 23093, 12483, 36324, 14856, 170479, 6235, 13458, 75230, 4944, 12483, 4838, 15857, 7201, 68558, 115398, 24295, 50273, 5, 14856, 165354, 6319, 75230, 55823, 1211, 4838, 9424, 238144, 4484, 119718, 99766, 93975, 42542, 4, 7265, 4838, 657, 48904, 61397, 4, 37189, 2865, 114436, 21776, 46244, 2200, 234917, 19302, 54260, 23269, 9915, 75230, 26394, 1211, 5, 4151, 19302, 54260, 16667, 16932, 1751, 3111, 54260, 1211, 119055, 77188, 6235, 13458, 75230, 40920, 56170, 10676, 16580, 16747, 5, 1470, 75230, 1982, 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 ]
[ 10498, 54196, 2181, 72577, 6, 68558, 7265, 119055, 165592, 13845, 8580, 4, 2200, 14856, 43649, 87442, 8947, 6, 23173, 54260, 1211, 7201, 29766, 30473, 40920, 161459, 506, 54260, 2882, 4, 56170, 95494, 23741, 8947, 6319, 54260, 1211, 101251, 1982, 92605, 159696, 94790, 4944, 4484, 54260, 2882, 5, 90848, 2050, 119055, 59929, 6093, 6, 48775, 63020, 220224, 1211, 4838, 68550, 21027, 23847, 93704, 4, 10339, 5, 4, 7265, 4838, 6, 23093, 4113, 109316, 61541, 48350, 23173, 8580, 3069, 4838, 6319, 119718, 99766, 119055, 59929, 6093, 5, 1470, 54260, 35189, 14004, 46244, 43649, 87442, 6, 23173, 54260, 1211, 95455, 21776, 46244, 13845, 4, 212484, 2882, 7508, 120467, 119055, 59929, 6093, 1470, 75230, 49268, 710, 49008, 4838, 203326, 13845, 92500, 170479, 2181, 34654, 49008, 6, 159696, 46244, 35596, 9213, 46244, 105235, 20911, 6, 23173, 54260, 1211, 7508, 120467, 21776, 46244, 13845, 5, 1285, 42542, 4852, 39083, 17288, 183216, 4838, 6, 64991, 17288, 104238, 3120, 192544, 26, 2702, 75290, 149364, 5, 1470, 75230, 1982, 1285, 42542, 3056, 3069, 364, 75230, 4667, 4, 159696, 2882, 7508, 6093, 6428, 55049, 220224, 1211, 3069, 1751, 57277, 24152, 4, 2200, 90848, 2050, 119055, 59929, 6093, 119055, 29060, 6, 23173, 75230, 2702, 8903, 29659, 905, 22426, 2882, 159696, 25207, 1211, 3069, 9915, 13845, 5, 34654, 4269, 48904, 26394, 6319, 119718, 29766, 57277, 65902, 82576, 7265, 26, 1211, 6, 78683, 23093, 4113, 16932, 2205, 42542, 4, 6, 23173, 54260, 1211, 2205, 1285, 6235, 35189, 448, 3120, 4838, 99766, 3120, 364, 41595, 6093, 1644, 54260, 56703, 22426, 710, 12483, 5, 192544, 4, 6, 238144, 1644, 95455, 192544, 364, 186955, 1470, 54260, 1211, 95766, 7746, 43449, 75230, 4852, 4838, 19302, 54260, 23269, 874, 120467, 119055, 59929, 6093, 2808, 75230, 6293, 6, 75322, 39083, 4, 2200, 165284, 22426, 2882, 2181, 34076, 54260, 4667, 6, 23173, 75230, 2702, 4, 36324, 75230, 163139, 2181, 119055, 39083, 2882, 163139, 2702, 12483, 6, 159696, 8903, 1211, 119718, 120467, 2181, 364, 183512, 13845, 2882, 7746, 5, 7265, 4151, 119055, 59929, 6093, 107776, 6, 23173, 75230, 2702, 6235, 1211, 4, 2200, 95455, 874, 145161, 77188, 10676, 3069, 29659, 48904, 2442, 3120, 192544, 5, 113889, 4667, 216333, 3056, 3069, 6235, 13458, 75230, 4944, 12483, 4838, 223229, 611, 137, 22680, 35596, 3131, 2004, 84475, 223229, 382, 37271, 2808, 23174, 128117, 155, 6, 238144, 4944, 12483, 4, 37189, 24621, 119132, 137, 78683, 23093, 4113, 16932, 155, 15, 10705, 16667, 110129, 96302, 120202, 13342, 32670, 12483, 1285, 63864, 8580, 194, 48494, 203232, 6, 94741, 63020, 72577, 1470, 75230, 2702, 8903, 119718, 26612, 3131, 12483, 119055, 6093, 12483, 2200, 56170, 2808, 54260, 110317, 2882, 119055, 6093, 12483, 7265, 25207, 2050, 364, 23173, 96986, 37189, 24621, 119132, 145813, 54260, 1211, 3120, 10676, 65902, 82576, 5, 125523, 10676, 163139, 95455, 119055, 59929, 6093, 159696, 33716, 190800, 8903, 212484, 12483, 22444, 81455, 10676, 37189, 24621, 119132, 1751, 3111, 54260, 1211, 2200, 10676, 6, 78683, 23093, 4113, 16932, 4, 43649, 87442, 23173, 54260, 1211, 21776, 2050, 6, 78683, 23093, 4113, 16932, 4838, 68550, 6, 105780, 6293, 22639, 153222, 2702, 4, 125523, 10676, 163139, 18225, 37826, 8947, 26217, 2882, 27702, 186565, 33716, 7265, 7508, 54260, 119132, 119055, 165592, 13845, 8580, 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 ]
[ 14856, 6, 205416, 42493, 6235, 13458, 75230, 4944, 12483, 6319, 54260, 1211, 6235, 119718, 186955, 1982, 54260, 2050, 6, 23173, 54260, 5666, 105235, 165354, 21776, 2050, 6, 78683, 23093, 4113, 16932, 2205, 4151, 11211, 194734, 93509, 16932, 6, 73381, 43178, 17310, 3120, 6, 75290, 149364, 5, 7508, 6093, 6, 78683, 23093, 4113, 16932, 3056, 19302, 54260, 1211, 2200, 6, 238144, 4667, 4, 42542, 42493, 27855, 196332, 1211, 1285, 6235, 159696, 1982, 12483, 4, 2200, 159696, 2882, 6, 199511, 221067, 21776, 124740, 57277, 96986, 5, 95455, 192544, 170479, 4838, 159696, 4484, 8903, 147713, 2882, 119055, 6093, 12483, 7265, 20315, 2050, 6319, 137377, 2200, 1285, 131397, 16932, 2050, 6, 29060, 119718, 120467, 17288, 104238, 3120, 9213, 73375, 8903, 1211, 16175, 54260, 1644, 6, 75290, 149364, 5, 23173, 14088, 10676, 192544, 170479, 18225, 1470, 75230, 2702, 3131, 80453, 54260, 96986, 112216, 22426, 9221, 84475, 37189, 2865, 65482, 78104, 104238, 3069, 1982, 26612, 16629, 26394, 1211, 8947, 115222, 8903, 1211, 4151, 119055, 59929, 6093, 5, 4151, 65902, 82576, 42542, 40653, 212484, 12483, 6, 29060, 119718, 120467, 119718, 59929, 6093, 2205, 1285, 6235, 35189, 448, 4, 95298, 95455, 119055, 77188, 657, 54260, 40920, 6, 23173, 54260, 23405, 48350, 75230, 8903, 1211, 2205, 6, 75290, 149364, 5, 10069, 4113, 39293, 1470, 54260, 5666, 7201, 26612, 107581, 174538, 12483, 4, 292, 4151, 65902, 82576, 4, 81414, 20260, 12483, 4838, 3373, 4667, 119055, 59929, 6093, 4, 2200, 7201, 59929, 96986, 4838, 427, 78278, 744, 165284, 16747, 12483, 4, 220224, 49008, 1285, 174538, 12483, 199145, 177274, 7038, 16932, 119055, 39083, 2882, 2648, 120467, 30109, 48904, 39340, 192544, 120301, 8903, 2648, 23173, 23741, 51678, 132025, 159696, 16747, 12483, 2819, 2200, 8947, 42542, 132025, 8903, 159696, 16747, 29060, 119055, 6093, 12483, 6, 159696, 46244, 35596, 1285, 6093, 105235, 1751, 179857, 12483, 3120, 64699, 148932, 30109, 48904, 15307, 54260, 2882, 5, 2181, 3056, 95298, 163139, 40920, 18640, 3069, 1982, 40096, 239162, 1211, 36324, 3069, 657, 48904, 61397, 10339, 59929, 96986, 3056, 42493, 72577, 56170, 114955, 5, 25616, 54260, 16932, 21066, 59929, 16932, 2702, 152, 119055, 12483, 4151, 81444, 20911, 29766, 107776, 6, 68558, 4, 119055, 29060, 7369, 84087, 54260, 40920, 506, 54260, 2702, 12483, 132025, 159696, 16747, 12483, 364, 54260, 1211, 2205, 4151, 160238, 1982, 3120, 364, 54260, 36419, 78104, 104238, 4, 84475, 30109, 54260, 16932, 21066, 59929, 16932, 2702, 4, 84475, 6319, 21106, 18415, 174538, 12483, 2205, 4151, 160238, 2050, 3120, 224220, 80453, 13159, 12483, 4, 84475, 47351, 1470, 54260, 1211, 1982, 54260, 18415, 1644, 5, 30109, 54260, 16932, 21066, 59929, 16932, 2702, 220224, 171428, 10184, 13845, 6, 80453, 129071, 152185, 56170, 114955, 4, 6, 238144, 1644, 220224, 364, 21106, 96986, 1470, 54260, 1211, 1285, 364, 54260, 1211, 2200, 56170, 63864, 170355, 4944, 12483, 6, 90848, 4667, 42493, 6319, 54260, 23269, 43449, 64260, 93497, 5, 1285, 46654, 59929, 16932, 2702, 3120, 657, 54260, 54561, 75230, 51723, 2200, 6, 50273, 710, 16747, 30473, 6093, 220224, 49008, 34654, 10213, 80885, 56170, 16580, 83182, 5, 95455, 119055, 77188, 6235, 101296, 40920, 3120, 34076, 54260, 107581, 16175, 54260, 1644, 12483, 3120, 657, 54260, 54561, 75230, 51723, 2200, 3069, 2865, 39083, 51723, 7508, 163177, 24295, 50273, 6093, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 9719, 29659, 7265, 119055, 23173, 4113, 51723, 119055, 59929, 6093, 5, 119055, 12483, 95455, 119055, 77188, 6235, 10069, 40920, 163139, 4838, 6, 78683, 36326, 4, 1751, 80453, 54260, 2882, 8947, 1470, 75230, 2702, 40653, 4838, 33718, 4667, 36324, 75230, 17824, 75230, 2702, 163139, 3523, 75230, 15231, 2932, 4, 2648, 87442, 3069, 7265, 4838, 33718, 4667, 3120, 7508, 127684, 12483, 6235, 159696, 1982, 4, 564, 75230, 98833, 6, 23173, 54260, 1211, 1285, 5332, 165354, 2200, 56170, 59461, 2882, 4, 40611, 36324, 4151, 46654, 59929, 16932, 170479, 42493, 6, 23173, 75230, 35044, 75230, 55823, 1211, 5, 8947, 3056, 72577, 3069, 151614, 1982, 12483, 8300, 238144, 46654, 59929, 16932, 2702, 4, 9747, 220224, 170479, 12483, 51678, 6235, 2882, 75230, 29659, 119055, 6093, 12483, 5, 1285, 46654, 59929, 16932, 2702, 4852, 39083, 12483, 132025, 8903, 119718, 23173, 63593, 2882, 119055, 6093, 12483, 230764, 4838, 6428, 75322, 6293, 4484, 13159, 13845, 4, 40611, 220224, 170479, 12483, 220224, 1211, 10339, 54260, 40920, 92500, 119055, 23173, 46598, 5, 56170, 9721, 171433, 15949, 92178, 4, 1285, 23173, 4113, 4113, 4, 564, 75230, 4667, 159696, 506, 97634, 2932, 4, 1470, 5, 2648, 5, 4269, 5, 4, 220224, 49008, 10069, 46654, 59929, 16932, 2702, 4838, 55242, 46244, 72577, 6093, 7265, 13845, 5, 25616, 63593, 55823, 1211, 21087, 2865, 22426, 97634, 51723, 5, 4838, 1751, 23173, 59919, 190800, 136108, 23174, 43178, 2442, 6093, 6, 238144, 49008, 4, 199145, 107776, 95766, 6, 150349, 165592, 51723, 4, 2200, 1285, 6, 131445, 220224, 49008, 1470, 75230, 2702, 2932, 21660, 75230, 8903, 1211, 5, 95455, 192544, 6, 238144, 13497, 6, 31177, 83811, 26, 158548, 6, 5, 4151, 6, 87311, 8903, 1211, 2200, 1285, 6235, 35189, 448, 220224, 49008, 6235, 119718, 21292, 10339, 208048, 50856, 6093, 2932, 21660, 75230, 8903, 1211, 3120, 6235, 1211, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 119055, 23173, 63593, 2882, 6, 68558, 1285, 6, 131445, 2200, 1285, 364, 35596, 564, 54260, 4838, 10339, 54260, 6093, 4, 29771, 35189, 163139, 39340, 21295, 220224, 1470, 54260, 1211, 2205, 364, 54260, 36419, 46654, 48904, 13845, 2702, 84475, 657, 35596, 3069, 364, 54260, 1211, 37729, 364, 54260, 36419, 119718, 59929, 139365, 54260, 18415, 75386, 5, 1285, 564, 54260, 18415, 75386, 170479, 12483, 42493, 220224, 1211, 36324, 75230, 364, 54260, 2702, 36324, 220224, 170479, 12483, 120202, 73375, 506, 12483, 95455, 192544, 5, 6, 235210, 2648, 4, 9934, 21106, 7611, 4, 19302, 54260, 12483, 15, 13458, 12483, 247, 84475, 44064, 6, 98055, 140354, 39293, 24621, 54574, 42542, 6, 23173, 54260, 23405, 109316, 98833, 119055, 6093, 12483, 2205, 4838, 55242, 39340, 1644, 2200, 132025, 8903, 119718, 23173, 63593, 2882, 119055, 6093, 12483, 2200, 13342, 8903, 147713, 2882, 119055, 6093, 12483, 73784, 6, 87311, 8903, 1211, 2200, 564, 75230, 4667, 5, 1285, 6, 186955, 87311, 2648, 40697, 174538, 12483, 3120, 6, 109636, 149364, 2865, 41595, 2200, 4838, 99611, 119718, 59929, 6093, 178748, 12483, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 4, 95298, 220224, 6093, 1470, 54260, 109985, 4113, 163139, 24152, 17310, 3056, 199145, 220224, 6, 95494, 55823, 1211, 4838, 203326, 13845, 6235, 1211, 2205, 564, 75230, 4667, 5, 364, 54260, 36419, 119055, 59929, 6093, 119055, 29060, 64699, 85465, 200117 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1285, 207013, 163139, 24152, 17310, 5, 1285, 145813, 54260, 4852, 2200, 4151, 11211, 46677, 7511, 86733, 1470, 75230, 7201, 111684, 25207, 1211, 7746, 69355, 4151, 7038, 16932, 119055, 29060, 220224, 1211, 4838, 162926, 4113, 27702, 3131, 31623, 17310, 115222, 8903, 1211, 30109, 4113, 24621, 12483, 4, 1470, 75230, 1982, 22753, 7369, 23269, 506, 33716, 95455, 192544, 7265, 9213, 506, 25207, 9721, 34533, 5, 7201, 23173, 29659, 137377, 17310, 21087, 2865, 22426, 97634, 51723, 5, 364, 23173, 16932, 120202, 7201, 21106, 4, 6319, 159696, 153222, 1211, 7746, 4, 119055, 20616, 97634, 8903, 1211, 92500, 101251, 1982, 92605, 159696, 94790, 4944, 4484, 54260, 2882, 5, 63864, 170355, 4944, 12483, 12, 114955, 199145, 119055, 6093, 12483, 74806, 22426, 54260, 4852, 2882, 3120, 191795, 18415, 78651, 220224, 49008, 8903, 5666, 75230, 98833, 3069, 151614, 1982, 12483, 56170, 29659, 137377, 17310, 5, 6235, 159696, 506, 5666, 32792, 107776, 8947, 3120, 874, 48904, 195054, 3120, 45521, 2882, 95766, 4151, 145813, 54260, 4852, 5, 8947, 42542, 119055, 6093, 12483, 4838, 67537, 171433, 40697, 6, 170355, 4667, 4, 3373, 54260, 20315, 1211, 14856, 23050, 159696, 506, 13497, 3069, 2648, 120467, 192544, 36324, 8947, 170479, 23050, 506, 51723, 145813, 54260, 4852, 2205, 27702, 29659, 710, 188201, 4, 21776, 151227, 195164, 93975, 41764, 89184, 142429, 12483, 5, 874, 48904, 107581, 114955, 657, 54260, 20315, 1211, 3120, 56170, 29659, 137377, 17310, 119055, 12483, 14856, 204982, 220224, 9934, 75230, 8903, 1211, 3120, 35189, 9721, 71616, 4, 199145, 27702, 238144, 4852, 2882, 36324, 5332, 22426, 13159, 45521, 506, 21295, 2205, 7508, 6093, 7038, 16932, 26, 2702, 7544, 66317, 5, 38230, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 1982, 26612, 506, 183512, 1644, 17310, 5, 6235, 159696, 506, 13497, 3069, 7508, 120467, 21374, 50856, 125523, 220273, 40026, 506, 3069, 6, 59461, 51723, 1285, 145813, 54260, 4852, 21776, 195054, 195164, 18640, 5, 6, 63188, 12483, 40026, 506, 87311, 95064, 1211, 4, 125523, 4151, 564, 142429, 4, 364, 186955, 95455, 16580, 16747, 1470, 6, 238144, 28726, 36324, 8947, 170479, 123736, 55823, 1211, 220224, 1211, 4, 2200, 6, 44478, 35596, 2181, 36324, 2181, 170479, 7746, 6319, 159696, 153222, 1211, 5, 6, 203326, 137218, 4944, 238144, 4852, 119055, 29060, 2181, 6681, 105235, 42023, 10676, 9424, 159696, 4484, 4151, 69355, 5, 95455, 42542, 6235, 23093, 2884, 119055, 6093, 12483, 9424, 238144, 874, 39083, 193012, 32792, 5, 1470, 75230, 1982, 7508, 120467, 3056, 42493, 7369, 7201, 39083, 23847, 54260, 4667, 4, 170479, 18225, 23173, 54260, 5666, 105235, 165354, 4838, 19302, 54260, 1211, 1751, 46545, 13845, 115825, 89930, 8580, 26394, 109636, 1644, 2205, 7508, 6093, 6, 73381, 43178, 17310, 3120, 6, 75290, 149364, 2819, 1285, 6, 26394, 22426, 26612, 4667, 178748, 12483, 1470, 75230, 4667, 220224, 1211, 3120, 19302, 54260, 3131, 97634, 6293, 4, 6, 88660, 88660, 172060, 16932, 4, 84475, 4852, 54260, 6293, 5, 4838, 364, 23173, 1982, 6, 23093, 4113, 109316, 61541, 4113, 7544, 66317, 3120, 67882, 2932, 23269, 4852, 17645, 42542, 6, 23173, 54260, 5666, 8903, 2932, 120467, 12483, 119055, 6093, 12483, 95766, 564, 64260, 13845, 7265, 119055, 59929, 6093, 9424, 238144, 874, 39083, 193012, 32792, 4, 2200, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 10676, 192544, 13342 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2050, 9934, 75230, 8903, 1211, 5, 101296, 40920, 657, 54260, 54561, 75230, 4944, 12483, 15, 7916, 4113, 13805, 115398, 16, 1470, 54260, 5666, 8903, 101296, 4944, 7611, 4, 3069, 25222, 4944, 43178, 215206, 1470, 54260, 1211, 16175, 95494, 126968, 92500, 4838, 364, 23173, 1982, 8248, 196332, 119055, 59929, 6093, 3069, 4838, 364, 21106, 75578, 78104, 57277, 126968, 657, 54260, 54561, 75230, 51723, 4, 2200, 6, 212484, 2882, 8947, 137377, 16580, 54574, 12483, 5, 1285, 6, 90848, 30473, 8903, 1751, 97634, 6293, 4, 199145, 55242, 506, 2882, 1470, 75230, 2702, 163139, 1470, 54260, 5666, 8903, 101296, 15949, 4, 178748, 32054, 54260, 8903, 8903, 1982, 12483, 119055, 6093, 12483, 10676, 21374, 50856, 7265, 4838, 17190, 61541, 4113, 5, 1751, 109636, 16932, 4, 119055, 12483, 95455, 192544, 119055, 77188, 186955, 6, 105780, 6293, 84475, 55242, 142785, 874, 232187, 2882, 4, 178748, 18225, 1470, 30682, 160751, 12483, 6, 29766, 48904, 50273, 170355, 23741, 4, 84475, 21066, 29771, 51723, 170355, 23741, 5, 2181, 3056, 42493, 6, 48775, 23093, 74004, 2050, 3069, 160751, 12483, 6428, 90848, 99402, 3069, 4838, 192544, 4, 3373, 54260, 2205, 10069, 200795, 874, 232187, 96986, 4, 3373, 54260, 1751, 109636, 16932, 4, 6, 238144, 1644, 48494, 203232, 21776, 98833, 230764, 34654, 6235, 25207, 16847, 4, 2200, 111684, 33716, 3069, 4838, 9721, 112711, 54260, 6093, 56170, 13497, 137377, 17310, 5, 21776, 39478, 54196, 34654, 145813, 54260, 4852, 2200, 1285, 221895, 8903, 159696, 506, 5927, 54260, 96986, 4, 2200, 21776, 2050, 21374, 50856, 26, 2702, 1470, 75230, 7201, 111684, 2442, 17310, 5, 2648, 120467, 9424, 54260, 42023, 3131, 5666, 54260, 20315, 1211, 2648, 120467, 3056, 4838, 9424, 54260, 2882, 3120, 17824, 75230, 2702, 4838, 23405, 16803, 56170, 187667, 93497, 4, 42493, 6, 238144, 1644, 8947, 3056, 215031, 3131, 159696, 25207, 9424, 54260, 2882, 56170, 114955, 4, 133190, 6, 238144, 1644, 36324, 75230, 10184, 109316, 6, 21106, 18415, 6, 238144, 75578, 151614, 1982, 12483, 132025, 25207, 29025, 20616, 21295, 6150, 75230, 10184, 109316, 46711, 75230, 6093, 93975, 6, 147713, 141943, 13159, 6, 159696, 8903, 1211, 42493, 8903, 29659, 75230, 2932, 65482, 1751, 159696, 215206, 4484, 54260, 96986, 564, 54260, 2050, 9424, 54260, 42023, 3131, 5666, 54260, 20315, 1211, 5, 34654, 30109, 54260, 23269, 9424, 54260, 152848, 71804, 4667, 6, 238144, 2702, 12483, 119055, 10705, 220224, 6428, 23173, 55823, 1211, 6, 23173, 75230, 2702, 104378, 2819, 1285, 6, 76776, 29631, 37826, 6, 21106, 7611, 3069, 8903, 22426, 59929, 2882, 56170, 220224, 5, 2205, 14856, 46244, 80885, 7201, 21106, 12483, 6, 24295, 54260, 25207, 1211, 220224, 7746, 657, 54260, 40920, 22444, 81455, 34654, 6, 137218, 35044, 13159, 2819, 2200, 10184, 109316, 67882, 195164, 220224, 49008, 6093, 13497, 75230, 13497, 6235, 119718, 29766, 12483, 4838, 75386, 220224, 151614, 1982, 12483, 6, 35596, 2648, 87442, 2205, 21374, 50856, 26, 2050, 874, 54260, 1644, 4944, 13845, 1470, 54260, 16667, 29771, 35189, 9424, 238144, 9424, 54260, 152848, 17410, 4667, 4, 2200, 95455, 192544, 37826, 7746, 6235, 111684, 33716, 163139, 76961, 2865, 39083, 5, 8947, 4852, 54260, 49008, 95298, 6681, 47351, 10339, 21106, 12483, 119055, 10705, 34654, 9424, 54260, 5666, 25207, 71804, 4667, 27702, 238144, 104149, 7746, 4838, 203326, 13845, 56170, 2882, 109636, 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 ]
[ 176727, 5, 4151, 69355, 6, 104378, 4838, 203326, 13845, 4231, 159696, 215206, 4484, 54260, 96986, 4, 6, 238144, 1644, 7508, 120467, 192544, 3056, 895, 16932, 2200, 1285, 58826, 35044, 13159, 220224, 49008, 364, 23173, 16932, 5, 1470, 75230, 1982, 34654, 6, 137218, 35044, 13159, 220224, 49008, 7508, 75230, 2882, 2200, 74806, 119718, 39083, 12483, 4, 170479, 18225, 220224, 7508, 54260, 1982, 12483, 7265, 4838, 1751, 46545, 13845, 1470, 54260, 4852, 4, 6, 29766, 6093, 7265, 21776, 2050, 6, 223390, 6093, 119718, 120467, 3056, 3069, 6093, 29659, 1470, 54260, 23405, 29060, 33104, 165354, 6235, 119718, 29766, 12483, 2205, 6319, 21106, 96986, 119055, 59929, 6093, 5, 4838, 9424, 238144, 16932, 26217, 16932, 7265, 13845, 3056, 3069, 147713, 12483, 3069, 6093, 29659, 4838, 1751, 46545, 13845, 119055, 174121, 199145, 18225, 37826, 1470, 54260, 23405, 29060, 33104, 165354, 2205, 119055, 23173, 4113, 51723, 119055, 59929, 6093, 5, 14856, 6, 94741, 63020, 42493, 190800, 105235, 4944, 12483, 34654, 6, 137218, 35044, 13159, 4, 3373, 54260, 20315, 1211, 4151, 81444, 20911, 29766, 364, 54260, 16803, 2181, 6, 23093, 2884, 5, 7508, 54260, 1982, 12483, 7265, 4838, 6, 223390, 150839, 36609, 4, 84475, 6319, 23269, 109636, 1644, 1470, 5, 7508, 5, 3056, 6235, 55823, 46244, 32792, 4, 6, 238144, 1644, 220224, 220224, 49008, 6235, 159696, 506, 5666, 32792, 60118, 54260, 1211, 4, 2200, 51678, 125523, 7369, 61397, 67882, 4944, 12483, 1285, 132025, 15907, 37016, 17310, 3120, 1285, 6, 35596, 10918, 50856, 65482, 16175, 54260, 1644, 12483, 5, 47351, 6, 35596, 10918, 16747, 17310, 3120, 874, 75230, 1644, 2200, 6, 137218, 35044, 13159, 42542, 1751, 16932, 12483, 7508, 6093, 56170, 2442, 54260, 2808, 17310, 4, 6, 238144, 50853, 120467, 9934, 75230, 8903, 1211, 56170, 95494, 23741, 220224, 85596, 29025, 12483, 5, 7508, 6093, 6, 71577, 29060, 15907, 42542, 19302, 54260, 59461, 119055, 6093, 12483, 4, 6, 204932, 12666, 23269, 56170, 24621, 506, 33716, 119055, 6093, 12483, 4, 2200, 14856, 42542, 28415, 165354, 4838, 122868, 63593, 54260, 23269, 101251, 1982, 92605, 159696, 94790, 4944, 4484, 54260, 2882, 5, 13159, 3056, 4838, 3373, 182002, 21422, 95455, 9424, 54260, 42023, 3131, 5666, 54260, 20315, 1211, 3056, 6, 57277, 39340, 56170, 84577, 119718, 99766, 32792, 56170, 2648, 120467, 30109, 48904, 39340, 192544, 122367, 21106, 4113, 1751, 16932, 109226, 199145, 119055, 6093, 12483, 3069, 8903, 25391, 16011, 12483, 4151, 13342, 5, 64699, 76961, 2865, 39083, 3056, 34654, 63864, 170355, 107581, 220273, 6, 47351, 221895, 4, 2200, 6, 71512, 28726, 27702, 506, 183512, 1644, 17310, 119055, 29060, 564, 165592, 54260, 15231, 8903, 1211, 34654, 6, 35596, 10918, 16747, 17310, 4, 56170, 119055, 13845, 104238, 14856, 54745, 185226, 36324, 34654, 9424, 54260, 506, 59461, 220224, 49008, 56170, 84577, 119718, 99766, 32792, 5, 132, 39293, 506, 2882, 6319, 71577, 15907, 13845, 6370, 16, 31249, 905, 75290, 26394, 1211, 2648, 120467, 3056, 42493, 6319, 54260, 1211, 7369, 16667, 18415, 30109, 48904, 15307, 54260, 2882, 4, 3496, 64260, 3131, 8947, 3056, 55242, 46244, 2190, 101296, 23405, 65482, 56417, 5, 2181, 107776, 3120, 6235, 1211, 2205, 6, 87311, 8903, 1211, 4, 84475, 119055, 12483, 4151, 6, 87311, 8903, 1211, 3056, 3069, 99509, 5, 13159, 220224, 49008, 56170, 47351, 1470, 75230, 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 ]
[ 87680, 34482, 170355, 4944, 12483, 4, 95298, 220224, 6, 104378, 76961, 3120, 620, 91595, 6093, 56170, 2648, 54260, 2808, 17310, 5, 101251, 1982, 54260, 96986, 34654, 117902, 30473, 42180, 3120, 6, 75290, 149364, 4, 9915, 13845, 1470, 75230, 29111, 75230, 1982, 12483, 10069, 364, 35596, 71804, 4667, 4, 34076, 29060, 12483, 10676, 22444, 165354, 4, 160751, 12483, 364, 54260, 36419, 119055, 59929, 6093, 4, 84475, 3069, 212484, 65482, 2702, 142429, 63593, 41595, 4, 220224, 49008, 174538, 12483, 199145, 45223, 55823, 1211, 5, 895, 16932, 4113, 114955, 170479, 12483, 23050, 46244, 12483, 26612, 81414, 20260, 119055, 59929, 6093, 4, 84475, 364, 21106, 96986, 10676, 6, 64260, 506, 46598, 36324, 75230, 6, 71804, 23405, 163139, 220224, 51678, 5, 88660, 5666, 119718, 10705, 162493, 13159, 127731, 203232, 3056, 6, 47351, 7369, 16667, 16932, 3069, 29659, 183512, 4, 2200, 1285, 7038, 16932, 6, 48775, 63020, 163139, 2702, 12483, 199145, 3069, 23093, 2884, 5, 1285, 34482, 170355, 4944, 12483, 220224, 49008, 56170, 3131, 54260, 2648, 65482, 5, 220224, 51678, 220224, 1211, 4151, 132025, 7201, 48904, 2932, 3120, 26612, 6235, 55823, 46244, 149010, 2442, 30109, 48904, 15307, 54260, 2882, 4, 163139, 82977, 87311, 142170, 4, 120439, 23173, 1644, 26632, 71512, 4, 84475, 67882, 81455, 35596, 10918, 16747, 17310, 74, 84475, 220224, 51678, 23165, 6, 104378, 3120, 101251, 64044, 2442, 54260, 2808, 17310, 4, 56170, 29659, 137377, 17310, 4, 6235, 35189, 448, 159696, 16847, 4, 22518, 37016, 4, 364, 54260, 2702, 12483, 6, 159696, 16932, 4, 1470, 5, 7508, 5, 4269, 5, 6, 5, 220224, 46711, 73381, 12483, 123736, 7201, 16932, 1470, 54260, 35189, 95455, 192544, 119055, 77188, 1470, 54260, 1211, 6, 101328, 46244, 6, 186955, 5, 95766, 4838, 78104, 22426, 40697, 1211, 10339, 21106, 3120, 192183, 119718, 10705, 162493, 13159, 204982, 48494, 203232, 192544, 19532, 75230, 2702, 4838, 4151, 3131, 46545, 96986, 19302, 48904, 2932, 4, 364, 77188, 230764, 3069, 6, 64260, 506, 4113, 51723, 230764, 4838, 6, 238144, 28726, 4, 119055, 77188, 9356, 119718, 10705, 40920, 212484, 4, 2200, 119055, 77188, 43649, 54260, 6293, 84475, 1470, 54260, 5666, 8903, 1982, 75230, 8903, 1211, 230764, 7508, 7682, 159696, 33716, 2050, 5, 34654, 1470, 75230, 8903, 1211, 29434, 20616, 12483, 7746, 4, 119055, 6093, 12483, 56170, 21847, 29771, 56169, 4, 84475, 6319, 120467, 29771, 39340, 5, 95455, 874, 75230, 1644, 119055, 77188, 43649, 54260, 6293, 3069, 8903, 101296, 40920, 5, 2205, 234917, 6, 87311, 96302, 12483, 119055, 77188, 95455, 6235, 30473, 40920, 43449, 75230, 32792, 4, 2200, 34654, 192183, 119718, 10705, 162493, 46598, 364, 75230, 1982, 12483, 7746, 6, 68558, 5, 4151, 6, 64260, 506, 46598, 119055, 77188, 137765, 7508, 75230, 16629, 2932, 2200, 60118, 4113, 195054, 195164, 18640, 5, 34654, 123736, 25207, 36258, 4, 1285, 6, 131445, 2200, 1285, 75851, 21733, 12483, 3120, 6, 75290, 149364, 46711, 54260, 35044, 12483, 7746, 95766, 76961, 6, 120749, 109226, 4, 2200, 34654, 1470, 75230, 8903, 1211, 220224, 49008, 1470, 75230, 2702, 8903, 21847, 29771, 56169, 6, 23173, 75230, 6293, 13342, 5, 564, 54260, 2050, 2865, 75230, 1644, 107776, 6, 23173, 75230, 2702, 4838, 1751, 75230, 2050, 2819, 2200, 1470, 75230, 1982, 48494, 203232, 21374, 50856, 37826, 9424, 54260, 506, 59461, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46050, 26394, 1211, 220224, 92500, 564, 54260, 2702, 12483, 874, 48904, 107581, 874, 39083, 1285, 3069, 23405, 5, 6, 203326, 137218, 4944, 238144, 4852, 119055, 6093, 12483, 1285, 27702, 159696, 2932, 109226, 19302, 54260, 59461, 5, 48494, 203232, 192544, 23050, 506, 63532, 6, 238144, 49008, 4, 2200, 10339, 186955, 6, 23173, 54260, 1211, 2205, 4838, 86510, 12483, 620, 29771, 6293, 4, 7265, 20315, 2050, 6, 75290, 149364, 125523, 43649, 54260, 59919, 163139, 76961, 2865, 39083, 5, 6, 64260, 34654, 6, 15907, 54260, 42410, 54260, 2882, 56170, 8903, 506, 2882, 23165, 7511, 2882, 78278, 125523, 6, 238144, 16932, 4113, 192183, 119718, 10705, 162493, 46598, 5, 1470, 75230, 1982, 95455, 192544, 37826, 10184, 109316, 192183, 119718, 10705, 162493, 13159, 4, 3056, 220224, 1211, 17190, 1982, 12483, 2205, 6235, 7201, 26612, 46244, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 95455, 65146, 9915, 13845, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 5, 34654, 119055, 23173, 4113, 24621, 1982, 142429, 4, 2200, 119055, 23173, 4113, 46685, 65902, 82576, 220224, 49008, 55242, 46244, 3523, 75230, 15231, 2932, 5, 34654, 564, 142429, 170479, 73784, 132025, 506, 75230, 1982, 4852, 54260, 1211, 3120, 805, 17824, 93704, 4, 10339, 5, 6, 4, 2200, 170479, 119055, 6093, 12483, 119055, 23173, 4113, 46685, 78278, 30669, 17824, 93704, 4, 10339, 5, 4, 36324, 75230, 3131, 151227, 163139, 178748, 32792, 5, 34654, 564, 142429, 170479, 220224, 1211, 17824, 75230, 2702, 6235, 3111, 2932, 1470, 54260, 57619, 116105, 20260, 12483, 21776, 2050, 6, 119859, 57619, 12483, 75290, 149364, 5, 73784, 6319, 137377, 170479, 18225, 9424, 75230, 4113, 8903, 1211, 6319, 186955, 2702, 6, 4, 199145, 170479, 123736, 23741, 6235, 2882, 75230, 29659, 119055, 6093, 12483, 5, 95455, 192544, 65146, 56170, 17160, 54260, 1982, 12483, 9213, 905, 119055, 59929, 6093, 3120, 209, 78278, 534, 238419, 4, 84475, 1982, 15533, 34654, 43649, 54260, 42410, 54260, 2882, 56170, 8903, 506, 2882, 4, 2200, 170479, 6428, 47351, 1470, 54260, 5666, 8903, 119718, 7682, 1644, 29060, 119055, 6093, 12483, 2205, 4838, 119718, 23173, 4113, 51723, 43449, 135118, 29060, 5, 35189, 65902, 82576, 178748, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 34076, 54260, 4667, 125523, 7508, 6093, 564, 142429, 4, 1470, 75230, 1982, 18225, 37826, 1197, 304, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 10069, 3523, 75230, 15231, 8903, 224252, 15529, 96302, 12483, 4, 2200, 95455, 21422, 46685, 3056, 119055, 23173, 46598, 6235, 3111, 2932, 5, 4151, 65902, 82576, 178748, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 36324, 75230, 163139, 8947, 3056, 132025, 8903, 119718, 710, 104149, 6235, 119718, 29766, 12483, 2205, 200795, 1211, 2882, 54260, 1644, 3120, 6, 144295, 104149, 6319, 71577, 15907, 13845, 5, 8947, 42542, 220224, 1211, 3523, 75230, 15231, 2932, 3069, 160751, 12483, 4838, 564, 25207, 4667, 144754, 13845, 5, 56170, 25207, 1982, 9424, 159696, 4484, 193012, 18225, 23050, 1982, 12483, 4838, 4269, 212484, 119055, 23173, 4113, 24621, 119055, 59929, 6093, 7265, 4838, 364, 21106, 1982, 6, 23093, 4113, 109316, 59919, 4113, 1054, 69596, 4, 84475, 4838, 364, 23173, 1982, 6, 23093, 4113, 109316, 61541, 4113, 6, 21106, 75230, 1211, 2205, 6, 115398, 137377, 84475, 2205, 874, 39083, 13159, 46598, 5, 4838, 162926, 6093, 564, 25207 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4667, 144754, 13845, 3056, 4838, 6, 23093, 4113, 109316, 61541, 4113, 3120, 6, 115398, 137377, 3120, 137, 14004, 109636, 39340, 17494, 48904, 506, 26612, 2004, 177274, 37640, 193338, 42023, 238419, 5, 12415, 56170, 93975, 15, 4113, 22426, 710, 28726, 22426, 2702, 17645, 16, 55242, 506, 2882, 1470, 75230, 2702, 163139, 192183, 119718, 10705, 162493, 13159, 4, 2200, 42542, 46711, 73381, 12483, 2205, 114955, 5, 2181, 130170, 5666, 54260, 2442, 29060, 7746, 3120, 192183, 119718, 10705, 162493, 13159, 4151, 144754, 199145, 46598, 6, 186145, 23741, 21776, 151227, 24621, 2050, 18640, 4, 4838, 75386, 95455, 192544, 119055, 77188, 895, 16932, 5, 6, 159696, 46244, 35596, 6, 47351, 132025, 68566, 6293, 3120, 5332, 22426, 710, 28726, 22426, 98624, 3056, 42493, 3523, 75230, 15231, 2932, 6319, 54260, 1211, 4838, 83182, 7265, 13845, 163139, 4838, 159696, 4484, 147713, 12483, 95455, 16580, 16747, 230764, 4838, 564, 92605, 159696, 2050, 6, 99766, 4, 2200, 657, 75230, 4852, 67882, 4944, 12483, 1285, 19302, 54260, 35189, 4838, 68550, 21776, 2050, 364, 21106, 4852, 5, 4484, 54260, 1211, 56170, 4852, 31212, 170479, 42493, 6235, 101296, 47332, 119055, 6093, 12483, 1470, 75230, 2702, 13342, 100863, 54260, 4944, 12483, 1285, 6, 131445, 5, 159696, 1211, 2181, 46711, 73381, 12483, 192183, 119718, 10705, 162493, 13159, 4, 170479, 18225, 22444, 55823, 1211, 10676, 81444, 20911, 29766, 4, 40611, 36324, 6093, 170479, 27702, 710, 117687, 12483, 1285, 34482, 905, 26612, 107581, 2200, 1285, 27702, 506, 183512, 1644, 17310, 5, 10069, 23173, 4113, 4113, 46598, 220224, 49008, 56170, 47351, 234917, 160238, 51723, 1285, 23173, 4113, 4113, 4, 163139, 8248, 46685, 12415, 23173, 4113, 4113, 4, 6, 88660, 44478, 26612, 2808, 24295, 7201, 84577, 14088, 15, 16580, 83182, 36326, 3496, 39083, 6093, 26612, 16, 2200, 54745, 30473, 194734, 144295, 5, 46464, 75578, 12415, 23173, 4113, 4113, 107776, 160238, 2205, 1285, 364, 54260, 36419, 6, 159696, 16932, 12483, 4, 84475, 4838, 75386, 21776, 124740, 2882, 40096, 69355, 101251, 22426, 59929, 161459, 145813, 54260, 4852, 5, 2181, 3056, 55242, 46244, 4838, 122868, 63593, 54260, 1211, 2205, 114955, 199145, 119055, 6093, 12483, 8903, 3131, 22426, 54260, 4852, 2882, 3120, 191795, 16932, 4944, 4, 2200, 4231, 57277, 63532, 119055, 26612, 506, 164863, 54260, 5666, 32792, 3120, 1285, 7544, 58679, 200117, 12483, 2205, 2442, 6093, 20033, 4667, 5, 95455, 21374, 50856, 163139, 1644, 220224, 1211, 123736, 55823, 1211, 3069, 123736, 23741, 4, 2200, 4151, 1470, 75230, 2702, 21066, 24244, 3056, 17824, 8580, 8903, 22849, 32792, 5, 8947, 3056, 874, 43178, 32792, 56170, 47351, 4838, 203326, 13845, 10184, 75578, 5, 16580, 50856, 6093, 17645, 191795, 44478, 26612, 9424, 54260, 4944, 35596, 7746, 1470, 75230, 2702, 7265, 4838, 119055, 59929, 6093, 93975, 1211, 6319, 39083, 9221, 212484, 12483, 2808, 75230, 4944, 7916, 14088, 4, 6, 194734, 50856, 93975, 1211, 564, 25207, 4944, 12483, 4, 364, 75230, 4944, 12483, 10184, 75578, 2200, 17824, 75230, 101608, 7369, 36326, 22426, 17310, 5, 20315, 30473, 194734, 144295, 4151, 4484, 35596, 18225, 22444, 81455, 19302, 54260, 23269, 17824, 8580, 8903, 22849, 149010, 4, 84475, 9721, 75230, 23269, 2808, 75230, 1982, 7916, 72158, 12483, 4, 7265, 4231, 23822, 54260, 55823, 1211, 564, 137119, 2200, 1470, 3373, 4667, 620, 54260, 2050, 5, 10184 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 564, 137119, 161459, 620, 54260, 2050, 8903, 506, 2882, 6, 23173, 75230, 2702, 5, 564, 25207, 4944, 12483, 3056, 42493, 4838, 122868, 63593, 54260, 1211, 4, 2200, 4151, 10184, 75578, 3056, 42493, 55242, 506, 17800, 75230, 4667, 5, 48494, 203232, 21374, 50856, 6319, 159696, 15231, 29259, 2882, 7746, 55242, 46244, 1751, 57277, 24152, 564, 54260, 2050, 123736, 55823, 1211, 220224, 1211, 5, 1982, 26612, 506, 48904, 2442, 1644, 17310, 5, 48494, 203232, 21374, 50856, 119055, 77188, 9915, 13845, 1470, 75230, 2702, 8903, 94741, 33716, 3120, 123736, 23741, 4113, 40096, 92605, 13159, 3120, 1285, 23173, 4113, 4113, 4, 36324, 75230, 48494, 203232, 8947, 119055, 77188, 1470, 75230, 2702, 23269, 26394, 506, 33716, 2200, 3069, 5666, 75230, 111137, 4484, 99766, 3131, 29060, 2205, 234917, 165284, 16747, 12483, 5, 1285, 7038, 16932, 170479, 132025, 506, 75230, 1982, 12483, 1470, 54260, 5666, 7201, 26612, 107581, 27702, 506, 183512, 1644, 109226, 34076, 54260, 4667, 564, 54260, 2050, 132025, 7201, 48904, 2932, 3120, 132025, 68566, 6293, 5, 1285, 200795, 2200, 163139, 40920, 18640, 80885, 27702, 506, 183512, 1644, 17310, 3056, 42493, 160751, 12483, 6319, 54260, 1211, 8947, 12483, 5, 204982, 4838, 117902, 2442, 42180, 6319, 119273, 29766, 1470, 75230, 1644, 4, 2200, 7265, 9424, 238144, 29659, 88917, 12483, 1751, 109636, 16932, 4838, 364, 54260, 4944, 12483, 6, 170355, 79981, 144581, 82576, 15, 23173, 54260, 5666, 105235, 4484, 186797, 10676, 6, 78683, 23093, 4113, 16932, 16175, 32097, 2205, 1285, 6235, 35189, 448, 16, 9747, 3069, 874, 157245, 6093, 12483, 7508, 120467, 6319, 159696, 153222, 1211, 7746, 5, 125523, 10676, 144581, 4944, 16932, 204982, 4838, 30109, 54260, 16932, 115453, 82576, 3120, 657, 54260, 54561, 75230, 51723, 2200, 7508, 163177, 24295, 50273, 6093, 73784, 564, 75230, 4667, 4, 1982, 54260, 2882, 186797, 10676, 119055, 23173, 4113, 51723, 46654, 59929, 16932, 4231, 123073, 4838, 40920, 84475, 6, 26394, 42023, 238419, 6, 159696, 46244, 35596, 29434, 54260, 10184, 77188, 13845, 6, 15907, 33104, 25207, 5, 125523, 1285, 46654, 59929, 16932, 2702, 16175, 55049, 35596, 160238, 30473, 40920, 18640, 1470, 75230, 2702, 20315, 2050, 564, 75230, 4667, 2200, 4231, 22426, 15350, 29060, 43649, 54260, 6293, 4838, 68550, 7265, 4838, 6, 110129, 39340, 119132, 4, 119055, 23173, 4113, 51723, 46654, 48904, 13845, 5, 2808, 75230, 1982, 95455, 21374, 50856, 55242, 506, 2882, 1470, 75230, 2702, 364, 17310, 6093, 18640, 4, 204982, 119055, 23173, 4113, 24621, 6, 149364, 1644, 68566, 7611, 119055, 59929, 6093, 4, 29771, 42023, 7544, 66317, 5, 163139, 114349, 36609, 1470, 75230, 2702, 8903, 9719, 29659, 7265, 30109, 54260, 2648, 4, 84475, 7544, 66317, 2200, 163139, 114349, 36609, 4, 4838, 23093, 109316, 61541, 4113, 177274, 9424, 238144, 165284, 16747, 12483, 3056, 6, 47351, 1470, 75230, 2702, 2932, 21660, 54260, 1982, 216510, 7265, 13845, 5, 2648, 120467, 30109, 48904, 39340, 192544, 127968, 37271, 22426, 23173, 4113, 2932, 29766, 7682, 6, 71804, 41731, 48904, 14088, 2004, 84475, 221895, 120202, 49792, 24621, 10069, 10918, 49008, 170479, 12483, 1470, 75230, 2702, 8903, 2865, 54260, 20315, 2882, 119055, 6093, 12483, 36324, 75230, 163139, 3373, 2050, 5, 220224, 220224, 49008, 163139, 24152, 170355, 1982, 4, 95298, 220224, 220224, 49008, 6235, 55823, 46244, 32792, 5, 4484, 76776, 109636, 19302 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 2648, 17310, 3056, 123736, 23741, 2865, 39083, 1285, 34482, 170355, 107581, 3120, 1285, 23173, 4113, 4113, 5, 19302, 54260, 23269, 2200, 895, 16932, 4113, 114955, 170479, 12483, 151614, 1982, 12483, 220224, 6093, 564, 75230, 4667, 4, 123736, 25207, 36258, 2200, 6, 17525, 119055, 23173, 46598, 3069, 8903, 2648, 87442, 159696, 1211, 95455, 6, 159696, 16932, 3056, 42493, 43649, 183512, 506, 26612, 23741, 18640, 4, 6, 238144, 1644, 95455, 119055, 29060, 45223, 55823, 1211, 1470, 75230, 114349, 54260, 20315, 1211, 4838, 1285, 23173, 4113, 4113, 5, 2442, 125897, 125830, 15, 10069, 241070, 4113, 30109, 48904, 15307, 54260, 2882, 16, 2442, 125897, 125830, 2205, 4838, 6, 119859, 49209, 56170, 3131, 80453, 54260, 18415, 6, 76776, 46244, 17310, 131002, 48904, 15307, 54260, 2882, 3120, 114955, 5, 8947, 159696, 33716, 56170, 63864, 170355, 40920, 3120, 874, 48904, 195054, 3120, 874, 127684, 21106, 4852, 21106, 26394, 1211, 2205, 1285, 564, 54260, 59461, 4, 199145, 2648, 120467, 56170, 63864, 170355, 40920, 56170, 84316, 22426, 1644, 17310, 5, 8947, 28415, 165354, 7746, 1470, 75230, 4667, 6, 59461, 159696, 4852, 4484, 54260, 2882, 2200, 88660, 5666, 119718, 10705, 162493, 159696, 6, 40096, 92605, 13159, 5, 12415, 30109, 48904, 15307, 54260, 2882, 17824, 54260, 2882, 6, 68558, 114955, 3120, 55242, 13805, 7501, 4838, 4944, 26394, 42023, 874, 232187, 2882, 6, 186955, 4, 564, 165592, 171433, 2442, 93497, 3120, 123736, 25207, 46685, 12483, 19302, 59929, 3120, 4151, 27702, 61541, 75290, 17310, 5, 63864, 170355, 4944, 12483, 12, 34654, 34482, 170355, 4944, 12483, 220224, 49008, 125523, 42493, 6, 76776, 129891, 27702, 50778, 47332, 4, 95298, 13159, 3056, 6235, 5666, 75230, 27702, 119718, 10705, 16803, 36324, 114955, 199145, 119055, 6093, 12483, 42493, 74806, 22426, 54260, 4852, 2882, 3120, 7508, 6093, 9721, 71616, 4852, 54260, 49008, 130170, 119718, 29766, 55823, 1211, 3069, 4151, 30109, 48904, 15307, 54260, 2882, 5, 2181, 119055, 6093, 12483, 6235, 95494, 55823, 1211, 8947, 9221, 2050, 95766, 6, 75290, 149364, 199145, 10339, 29771, 35189, 12483, 6319, 21106, 10918, 14088, 2200, 221895, 874, 127684, 21106, 12483, 119055, 13845, 107581, 170479, 12483, 220224, 3523, 54260, 23822, 21106, 15533, 9221, 12483, 5, 4151, 69355, 119055, 77188, 4151, 6, 75290, 149364, 6, 29766, 46598, 2205, 874, 127684, 21106, 12483, 92500, 1285, 564, 54260, 59461, 119055, 6093, 12483, 1751, 119718, 26612, 4667, 5, 1285, 4838, 50856, 123073, 6235, 159696, 1982, 12483, 657, 54260, 20315, 1211, 1470, 75230, 4667, 4, 95298, 42493, 165592, 75230, 10184, 13845, 163139, 1285, 564, 54260, 59461, 5, 21087, 2865, 22426, 97634, 51723, 5, 6, 59461, 159696, 43082, 54260, 2882, 4, 2200, 1470, 75230, 111137, 25207, 98833, 4484, 54260, 2882, 4, 34654, 9424, 54260, 506, 59461, 119718, 92605, 2702, 12483, 55242, 46244, 6, 71804, 23405, 170355, 2050, 4, 1285, 564, 54260, 59461, 3120, 6319, 137377, 56170, 2808, 54260, 110317, 12483, 7746, 42493, 163139, 8947, 94741, 63020, 3069, 220224, 1211, 4, 2200, 6, 212484, 12483, 40653, 6, 238144, 107581, 16175, 54260, 1644, 12483, 4, 60118, 4113, 195054, 24621, 2050, 710, 20260, 54260, 96986, 2205, 25207, 2050, 6, 95494, 207650, 1211, 4, 6, 238144, 107581, 2200, 1751, 119718, 26612, 107581, 75851, 21733, 12483, 4, 1285, 657, 48904, 8903, 564, 54260, 59461, 220224, 49008, 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 ]
[ 17824, 75230, 2702, 1982, 54260, 1285, 5332, 165354, 4, 2200, 123736, 23741, 2865, 39083, 56170, 84316, 109636, 21295, 4, 7508, 6093, 564, 75230, 4667, 43649, 23173, 26394, 2882, 6, 23173, 75230, 2702, 4, 4151, 4484, 137377, 1751, 119718, 710, 56169, 4, 8947, 46711, 73381, 12483, 123736, 23741, 4113, 192183, 119718, 10705, 162493, 13159, 2200, 2181, 119055, 6093, 12483, 56170, 23847, 13159, 77188, 10069, 564, 137119, 119718, 59929, 6093, 13982, 710, 104149, 5, 42493, 76961, 874, 39083, 27702, 238144, 104149, 7746, 76961, 34654, 6, 90848, 30473, 8903, 177157, 22426, 97634, 51723, 4, 95298, 1285, 30109, 48904, 15307, 26612, 160687, 8903, 6, 35596, 119718, 7682, 1644, 17310, 3120, 1285, 564, 54260, 59461, 3056, 7508, 6093, 19302, 29766, 3131, 16932, 3373, 15289, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 5, 1982, 26612, 506, 183512, 1644, 17310, 5, 7508, 120467, 27702, 105235, 506, 2882, 3120, 11211, 46677, 5666, 40697, 174538, 12483, 4, 4231, 22426, 54260, 1211, 12483, 7265, 4151, 9721, 71616, 4, 1470, 75230, 1982, 95455, 21374, 50856, 3056, 3120, 215031, 895, 16932, 4, 7544, 66317, 4, 3947, 76179, 506, 3131, 22426, 54260, 4852, 4, 80839, 40920, 170355, 23741, 12483, 2200, 6, 159696, 50273, 4113, 18415, 17160, 2702, 199145, 151614, 1982, 12483, 6235, 3111, 2932, 44917, 46244, 17310, 2200, 119718, 710, 57277, 9719, 49008, 4, 40653, 506, 75230, 22426, 2882, 3120, 10676, 163139, 57277, 9719, 49008, 199145, 364, 54260, 16803, 137, 55823, 2882, 3496, 39083, 9183, 130929, 710, 2909, 10184, 3131, 3131, 101296, 7972, 119055, 77188, 123736, 23741, 2865, 39083, 6235, 13458, 75230, 40920, 7265, 221067, 1211, 7369, 7201, 39083, 2932, 4, 6, 238144, 1644, 2181, 35596, 506, 186955, 1285, 163139, 57277, 9719, 49008, 4, 95298, 14856, 42542, 1285, 39293, 1644, 30750, 46050, 4113, 8903, 1211, 3120, 1285, 4151, 87311, 194734, 3131, 22426, 54260, 104149, 4, 1470, 75230, 101608, 10184, 3131, 3131, 101296, 79981, 5, 7972, 40920, 37826, 4838, 28415, 4484, 119718, 9221, 12415, 8903, 364, 54260, 1644, 17310, 131002, 26612, 23741, 230764, 6, 64260, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 5, 79761, 87442, 4113, 8248, 49008, 29659, 48775, 54574, 12483, 2200, 895, 87442, 2442, 40697, 3944, 40920, 4, 2205, 56170, 1982, 157245, 17310, 7265, 112216, 2702, 161459, 145813, 54260, 4852, 4, 37826, 1470, 75230, 2702, 8903, 119718, 710, 24152, 28415, 4484, 159696, 2442, 158548, 9915, 109316, 58571, 9221, 109226, 5, 7201, 23173, 16580, 54574, 109226, 7201, 23173, 16580, 54574, 109226, 2205, 6319, 137377, 220224, 49008, 4838, 122868, 63593, 54260, 1211, 2205, 21374, 50856, 6093, 71804, 4667, 4, 2200, 6, 104378, 3120, 12666, 23741, 13342, 8903, 1211, 84475, 3120, 3069, 119055, 23173, 4113, 24621, 19302, 54260, 35189, 5, 14856, 65146, 1470, 75230, 114349, 54260, 20315, 1211, 9181, 23741, 13342, 49008, 4, 167555, 35189, 6, 148346, 26612, 123559, 12483, 2648, 218241, 205416, 2808, 88680, 506, 75230, 22426, 2882, 230764, 21776, 2050, 6, 76776, 39340, 96986, 115222, 109636, 1644, 3120, 192544, 5, 48494, 203232, 21374, 50856, 170479, 6235, 506, 21106, 96986, 159696, 25207, 1211, 119055, 23173, 46598, 4, 95298, 42493, 40653, 23269, 87637, 56169, 5, 1285, 30109, 48904, 15307, 54260, 2882, 7369, 61397, 2882, 95455, 192544, 39293, 46244, 10184, 13845, 4, 6, 238144, 1644, 1285, 1751, 16932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17310, 2205, 10676, 6, 64260, 506, 4113, 51723, 67882, 40920, 95455, 9934, 75230, 8903, 1211, 55242, 506, 93509, 159696, 2442, 32792, 5, 10069, 27702, 506, 48904, 136108, 17310, 564, 84577, 20616, 2882, 2205, 4838, 119055, 23173, 4113, 46685, 564, 29766, 4, 160238, 30473, 40920, 18640, 1470, 75230, 2702, 7201, 54260, 47332, 46985, 710, 18415, 1470, 54260, 5666, 22426, 92605, 17310, 56170, 9721, 171433, 12890, 92178, 2200, 657, 109226, 58679, 20260, 506, 54260, 96986, 3120, 6319, 114436, 5, 130154, 2702, 12, 7508, 6093, 10339, 54260, 4944, 16932, 224220, 80453, 13159, 5, 198754, 2702, 12, 1285, 16175, 55049, 114436, 40653, 20315, 4484, 5, 2882, 55049, 171428, 4, 2200, 364, 23173, 96986, 48494, 203232, 192544, 72577, 3069, 59461, 87442, 2200, 27702, 16629, 56169, 2205, 4838, 72577, 2808, 75230, 2702, 195054, 25046, 16932, 96986, 21422, 46685, 5, 14856, 170479, 23050, 1982, 12483, 6, 47351, 120202, 111684, 155045, 18415, 1644, 4, 6, 35596, 159696, 2442, 6093, 39340, 1982, 205416, 1470, 75230, 1982, 4, 84475, 20033, 4484, 123736, 119718, 14856, 81371, 4852, 54260, 4113, 5, 1285, 145813, 54260, 4852, 170479, 105884, 34365, 54196, 119055, 6093, 12483, 564, 54260, 2205, 6319, 119718, 62067, 131044, 4, 564, 54260, 2205, 6319, 119718, 14081, 131044, 5, 10069, 6, 113889, 4852, 170479, 27702, 506, 48904, 2442, 77188, 119055, 6093, 12483, 7265, 119055, 165592, 13845, 8580, 4, 132025, 8903, 159696, 50856, 29060, 7265, 4838, 115222, 24621, 1644, 151614, 207650, 189583, 6093, 4, 84475, 7265, 137, 26612, 1982, 4852, 29766, 1982, 35596, 6, 78683, 28320, 2004, 19302, 54260, 1211, 2200, 43649, 54260, 6293, 6235, 3111, 2932, 36324, 2181, 170479, 51678, 19532, 54260, 1211, 2205, 34654, 6, 113889, 4852, 28726, 75578, 5, 115222, 112595, 29766, 54260, 16932, 1470, 75230, 1644, 132025, 61397, 186565, 33716, 3120, 29434, 75230, 2702, 12483, 230764, 4151, 6, 113889, 4852, 2200, 1751, 16932, 12483, 4, 2200, 40653, 4151, 9721, 71616, 4, 3056, 119718, 9221, 17494, 34322, 5, 130363, 5594, 710, 109226, 170479, 12483, 9915, 13845, 2200, 6, 68566, 16747, 32792, 27702, 506, 183512, 13845, 2882, 119055, 6093, 12483, 4, 10705, 2050, 1470, 75230, 2702, 13342, 2865, 54260, 20315, 1211, 7369, 91275, 16932, 4113, 30109, 48904, 15307, 54260, 96986, 5, 25616, 905, 22426, 1644, 48350, 2882, 199145, 2181, 3056, 6235, 225975, 2882, 6235, 119718, 29766, 12483, 6, 159696, 8903, 1211, 1285, 7201, 16932, 15907, 2205, 6319, 71577, 15907, 13845, 11585, 10069, 70695, 20260, 506, 54260, 2882, 27702, 10705, 86212, 506, 176727, 55242, 46244, 84087, 4, 95298, 22753, 3056, 55242, 1644, 96986, 6235, 55823, 46244, 32792, 5, 2181, 119055, 77188, 23050, 159696, 506, 5666, 54260, 4667, 56170, 63864, 170355, 47332, 3120, 4838, 56170, 16580, 54574, 17310, 4, 2200, 1470, 75230, 4667, 3120, 10705, 112595, 23173, 2648, 54260, 2808, 17310, 5, 1285, 177157, 22426, 97634, 51723, 119055, 6093, 12483, 6235, 159696, 506, 5666, 32792, 42493, 27702, 46685, 20911, 564, 54260, 97634, 2932, 5, 2648, 120467, 192544, 145813, 17645, 21295, 7746, 78278, 7508, 6093, 9424, 54260, 2882, 3120, 620, 29771, 55823, 1211, 2200, 119055, 12483, 2181, 6235, 506, 2882, 3069, 564, 29060, 39293, 506, 2882, 8947, 1470, 75230, 2702, 203013, 6, 4, 95298, 2205, 7265, 12483, 6, 76776, 40920, 119055, 87442, 2181, 76961, 51723, 230764, 7265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2648, 120467, 30109, 48904, 39340, 192544, 34131, 20315, 2050, 1470, 75230, 101608, 8903, 159696, 506, 5666, 149010, 1211, 364, 71616, 12483, 3120, 202731, 22426, 5, 8947, 55242, 56169, 7746, 230764, 4, 3496, 71577, 2882, 7746, 68558, 119055, 10705, 8947, 42542, 2200, 7508, 48904, 8903, 21295, 7746, 3069, 6, 64260, 506, 4113, 51723, 5, 7508, 6093, 364, 71616, 12483, 3056, 55242, 46244, 364, 75230, 4667, 92500, 3496, 23173, 129071, 6093, 34533, 13456, 5, 7508, 6093, 6, 64260, 506, 4113, 51723, 3056, 55242, 46244, 6, 61397, 75230, 16629, 2932, 4, 1285, 67826, 24621, 364, 54260, 168155, 18640, 5, 95455, 6235, 30473, 40920, 3056, 43449, 75230, 32792, 2200, 1751, 119718, 710, 56169, 5, 4151, 3069, 29659, 183512, 7508, 75230, 77188, 4838, 58571, 26394, 238144, 28726, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 34654, 364, 75230, 22426, 2882, 1982, 26612, 506, 183512, 1644, 17310, 3056, 3069, 56170, 2865, 54260, 20315, 1211, 1285, 25616, 48904, 15307, 54260, 2882, 5, 114955, 170479, 12483, 1470, 75230, 2702, 8903, 506, 15907, 119055, 6093, 12483, 3120, 6, 23173, 75230, 2702, 23269, 710, 18415, 21295, 119055, 6093, 12483, 13342, 115222, 21295, 2200, 10339, 54260, 47332, 4484, 54260, 2882, 5, 119055, 12483, 6, 47351, 132025, 68566, 6293, 107776, 6, 68558, 4, 3056, 34654, 119055, 23173, 4113, 24621, 6, 87311, 82576, 2442, 564, 142429, 6, 47351, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 216510, 7265, 13845, 2819, 95298, 6235, 159696, 506, 5666, 32792, 42542, 18225, 48494, 203232, 7511, 2882, 46050, 4113, 8903, 1211, 2205, 7265, 12483, 6, 76776, 40920, 4, 2200, 7508, 6093, 9915, 13845, 82576, 7265, 13845, 3056, 6428, 23173, 88680, 6, 233364, 1644, 96986, 224220, 80453, 13159, 15, 39293, 506, 2882, 6319, 71577, 15907, 13845, 21162, 5, 14856, 23050, 56169, 1470, 54260, 1211, 4838, 19302, 54260, 119132, 4, 1285, 119132, 506, 84577, 4113, 4667, 2205, 6319, 21106, 96986, 119055, 59929, 6093, 15, 2808, 54260, 4852, 4484, 186955, 4, 1470, 75230, 1982, 874, 43178, 32792, 247, 2200, 14856, 657, 35596, 8947, 13342, 3069, 7508, 6093, 9721, 71616, 5, 14856, 6428, 87442, 3069, 7265, 4838, 17824, 75230, 2702, 12483, 6, 110129, 39340, 119132, 364, 84577, 4113, 4667, 4, 2200, 24621, 657, 35596, 6, 23173, 75230, 6293, 221895, 9424, 238144, 364, 84577, 4113, 104238, 4, 148932, 9424, 119718, 75322, 141847, 109316, 98833, 2205, 4151, 1644, 141847, 230764, 9424, 238144, 12483, 5, 1470, 54260, 1211, 364, 84577, 4113, 4667, 170479, 4838, 144532, 25207, 165354, 10676, 15622, 1644, 16932, 4, 1285, 9721, 71616, 4, 20315, 2050, 22444, 165354, 4, 2200, 130170, 10676, 6, 29766, 46598, 5, 7508, 6093, 9424, 238144, 16932, 364, 84577, 4113, 4667, 170479, 6235, 13458, 75230, 40920, 159696, 25207, 1211, 230764, 10676, 207013, 1211, 185527, 4, 133190, 230764, 21776, 2050, 9424, 238144, 96986, 6, 29766, 46598, 5, 46440, 29060, 3069, 144754, 3373, 54260, 160687, 41764, 100810, 564, 54260, 2050, 364, 21106, 4852, 4, 130170, 1285, 123736, 25207, 36258, 4, 2200, 119055, 10705, 2181, 3056, 657, 75230, 4852, 4, 36324, 75230, 165592, 4151, 224220, 80453, 13159, 170479, 657, 17645, 8903, 1211, 45521, 16803, 4, 2200, 8947, 170479, 42493, 6, 23173, 75230, 2702, 105235, 165354, 6319, 54260, 1211, 2882, 54260, 1644, 3120, 3523, 59929, 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 ]
[ 364, 84577, 4113, 4667, 5, 95455, 119055, 29060, 9915, 13845, 7508, 6093, 119718, 23173, 63593, 2882, 119055, 6093, 12483, 3120, 21776, 2050, 16580, 50856, 26, 2702, 6, 75290, 149364, 2200, 163139, 2442, 20911, 163139, 4838, 6, 71804, 23405, 235210, 6093, 119055, 23173, 4113, 46685, 224220, 80453, 119273, 31212, 5, 13458, 171433, 15949, 92178, 13458, 171433, 15949, 92178, 3056, 6, 47351, 6, 35596, 10918, 50856, 17310, 3120, 1285, 9181, 87178, 20616, 25207, 1211, 4, 2200, 9424, 54260, 4944, 35596, 7746, 2808, 75230, 2702, 7265, 4838, 364, 71616, 12483, 5, 2181, 3056, 55242, 46244, 4838, 122868, 63593, 54260, 1211, 2205, 21374, 50856, 6093, 5, 34654, 34482, 170355, 107581, 68313, 6, 47351, 6, 23173, 75230, 21087, 18415, 1644, 17310, 3069, 115222, 21295, 2200, 10339, 54260, 40920, 4484, 54260, 2882, 5, 7508, 6093, 364, 71616, 12483, 3056, 3069, 6093, 3131, 57277, 16175, 55049, 114436, 2200, 6235, 13982, 7682, 16932, 4, 95298, 1751, 109636, 16932, 119055, 77188, 7369, 657, 75230, 4852, 2200, 6, 61397, 75230, 16629, 2932, 5, 2648, 120467, 192544, 55242, 506, 2882, 42493, 1470, 75230, 2702, 3069, 220224, 1211, 6319, 48775, 20260, 4, 3496, 64260, 3131, 8947, 37826, 4838, 203326, 13845, 10184, 75578, 5, 13159, 364, 71616, 6, 23173, 75230, 6293, 620, 54260, 2050, 2819, 95298, 114955, 199145, 220224, 49008, 55242, 13805, 84475, 22753, 4113, 1982, 12483, 6, 101328, 46244, 186955, 6, 54260, 710, 183216, 95455, 6, 23173, 137377, 4892, 2882, 64260, 6, 23173, 75230, 2702, 13342, 2882, 22426, 54260, 12483, 2181, 5, 1982, 26612, 506, 48904, 2442, 1644, 17310, 12, 1285, 27702, 506, 183512, 1644, 17310, 3056, 34654, 207013, 163139, 56170, 4838, 56170, 16580, 54574, 17310, 2205, 6319, 137377, 4, 2200, 14856, 170479, 1470, 54260, 50856, 54260, 1982, 12483, 34654, 9721, 71616, 160238, 35596, 2200, 364, 41595, 12483, 8300, 238144, 874, 39083, 4838, 166464, 7265, 4838, 7972, 119718, 1470, 75230, 1644, 2200, 15622, 78683, 7972, 22426, 202936, 1470, 75230, 1644, 15, 2808, 54260, 1211, 2190, 129891, 4838, 7972, 119718, 2808, 75230, 1644, 3069, 1470, 54260, 1211, 6428, 48775, 4944, 18415, 15622, 4484, 69803, 22426, 96418, 1470, 75230, 1644, 194, 34654, 6235, 126700, 65482, 16175, 54260, 1644, 12483, 170479, 12483, 3069, 8903, 2648, 87442, 119055, 6093, 12483, 7265, 119055, 23173, 4113, 24621, 46654, 48904, 13845, 117687, 71804, 4667, 4, 17824, 75230, 2702, 6235, 3111, 2932, 3069, 56170, 25207, 165354, 6, 215206, 48904, 26394, 9721, 71616, 2200, 22444, 165354, 5, 1470, 75230, 1644, 123736, 119718, 5332, 108020, 2200, 4838, 7972, 119718, 1470, 75230, 1644, 34076, 54260, 4667, 230764, 34076, 54260, 4667, 4, 24621, 2932, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 6, 48904, 29659, 64260, 10676, 200795, 1211, 7265, 13845, 4, 2205, 114955, 130170, 26612, 6, 101328, 46244, 6, 186955, 5, 9721, 171433, 12890, 92178, 6, 205416, 42493, 56170, 76776, 17160, 13159, 41595, 119055, 6093, 12483, 4, 6, 238144, 1644, 8947, 42542, 4852, 18167, 6, 35596, 119718, 7682, 1644, 12483, 2205, 4838, 82977, 87311, 142170, 5, 96951, 87311, 7511, 87309, 171433, 15949, 2882, 40697, 82977, 87311, 142170, 6, 186145, 23741, 4838, 2050, 123736, 23741, 13159, 96986, 2205, 114955, 130170, 8300, 238144, 101328, 46244, 4, 2200, 3056, 6235, 159696, 506, 5666, 32792, 4151, 21776, 124740, 2882, 40096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3120, 9721, 171433, 15949, 92178, 5, 4151, 132025, 68566, 6293, 4484, 177148, 874, 48904, 107581, 874, 39083, 6, 68558, 2190, 46685, 119718, 23173, 18415, 2882, 4, 7265, 192183, 119718, 10705, 162493, 13159, 5, 8947, 220224, 49008, 56170, 47351, 1197, 910, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 506, 75230, 104238, 10184, 75578, 4, 564, 23173, 7916, 40096, 18415, 27702, 165354, 4, 58571, 89930, 4, 123736, 7201, 16932, 2200, 85596, 29025, 149010, 90848, 18415, 506, 1982, 12483, 4, 2200, 364, 71616, 12483, 5, 7508, 6093, 6, 64260, 506, 46598, 3056, 132025, 23847, 54260, 55823, 16747, 4, 2200, 67882, 40920, 4838, 119055, 99766, 23269, 50856, 12483, 6, 61397, 75230, 3131, 5, 25933, 203232, 192544, 3056, 60118, 77525, 18640, 2200, 119055, 23173, 23741, 7746, 4, 84475, 8947, 3056, 168155, 6319, 48775, 20260, 2200, 21776, 98833, 4231, 175221, 4, 7265, 9721, 75230, 4113, 3944, 109636, 1211, 2200, 43449, 54260, 107581, 27702, 165354, 4, 2200, 64260, 506, 4113, 47332, 55242, 46244, 6, 127684, 2200, 10339, 48775, 4667, 5, 10069, 30109, 48904, 15307, 54260, 2882, 2205, 55242, 46244, 6, 47351, 7369, 16667, 18415, 4, 2200, 10339, 142429, 77188, 9915, 109316, 130170, 46464, 4944, 17310, 69355, 4838, 81444, 92341, 29766, 4, 2200, 72577, 3523, 75230, 2442, 4944, 12483, 5, 1285, 7038, 16932, 42542, 10184, 13845, 45223, 55823, 1211, 4151, 144754, 199145, 30473, 119055, 29060, 364, 23173, 96986, 119055, 23173, 46598, 21776, 2050, 192544, 26, 2702, 6, 131445, 48775, 4667, 4, 2200, 6, 23173, 54260, 5666, 212484, 12483, 32054, 40697, 9181, 23741, 95766, 21422, 46685, 4, 95298, 123736, 42023, 22444, 23741, 13342, 8903, 1211, 230764, 10676, 192544, 5, 1470, 75230, 1982, 14856, 28415, 20911, 36324, 90848, 2050, 6, 108209, 119055, 77188, 43449, 75230, 4, 170479, 18225, 4838, 30682, 6, 23173, 54260, 100863, 171428, 2205, 4838, 119055, 23173, 4113, 46685, 564, 29766, 2819, 2808, 75230, 1982, 14856, 42542, 1470, 30682, 42493, 34654, 46244, 12483, 3120, 6, 99766, 4, 170479, 18225, 6, 23173, 54260, 5666, 105235, 1644, 12483, 1285, 6, 131445, 2205, 119718, 23173, 4113, 51723, 119055, 59929, 6093, 5, 95455, 42542, 21776, 96986, 220224, 1211, 17190, 1982, 12483, 1470, 54260, 35189, 4151, 81444, 20911, 29766, 107776, 5, 26612, 4151, 506, 31623, 18415, 364, 75230, 226112, 2050, 6319, 75230, 2882, 160238, 119055, 12483, 10339, 54260, 4944, 18415, 16175, 54260, 1644, 12483, 3120, 7508, 6093, 364, 75230, 2882, 6, 104378, 2205, 27702, 65606, 2442, 17310, 5, 46598, 6, 186145, 23741, 2205, 1285, 121193, 54260, 153222, 1211, 3120, 364, 23173, 1211, 3120, 45521, 18415, 114955, 4, 130170, 34654, 112216, 4944, 159696, 2702, 4, 2205, 121193, 54260, 2882, 2882, 3120, 4151, 117902, 2442, 39340, 4, 230764, 21776, 2050, 364, 41595, 6093, 60403, 4, 2200, 364, 42733, 96986, 5, 7916, 6093, 874, 39083, 107776, 2181, 3120, 1285, 6, 48775, 710, 149364, 2050, 4, 40653, 506, 75230, 22426, 2882, 119055, 12483, 220224, 119055, 6093, 12483, 42493, 6235, 94114, 12483, 4838, 657, 141847, 123073, 9424, 54260, 2882, 4, 5, 163139, 2205, 1285, 23173, 4113, 4113, 5, 1285, 364, 75230, 2882, 3056, 7508, 75230, 2882, 4, 10339, 54260, 40920, 2200, 4944, 107182, 6, 35596, 10918, 16747, 12483, 5, 1285, 30109, 48904, 15307, 54260, 2882, 42542, 1470, 75230, 4944 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8903, 2865, 54260, 20315, 2882, 119055, 6093, 12483, 22444, 81455, 123736, 23741, 12483, 119718, 48904, 12483, 7265, 7508, 54260, 59461, 4, 119055, 23173, 4113, 46685, 119055, 59929, 6093, 4, 2200, 42493, 10184, 13845, 220224, 6293, 5, 119055, 12483, 8947, 6, 186145, 23741, 4, 186565, 33716, 6, 68558, 10676, 6, 99766, 7265, 6, 88660, 119425, 6, 44182, 4, 84475, 43649, 75230, 47332, 6, 68558, 7265, 48706, 63188, 29789, 97634, 119718, 22753, 20260, 112216, 905, 35189, 5, 1470, 75230, 1982, 14856, 21776, 98833, 3069, 119055, 174121, 7265, 4151, 6, 170355, 22849, 84475, 7265, 4151, 22426, 26612, 14303, 6093, 3069, 34654, 121193, 54260, 153222, 1211, 4, 119055, 29060, 2181, 95455, 192544, 10184, 13845, 564, 92605, 159696, 46685, 67882, 4944, 12483, 5, 76776, 36419, 564, 29060, 292, 101251, 88660, 120580, 39083, 40653, 4151, 179096, 1211, 10069, 6235, 159696, 506, 5927, 54260, 2882, 3120, 3523, 59929, 67882, 4944, 12483, 48494, 203232, 564, 29060, 564, 54260, 76776, 40920, 4, 2200, 34654, 19302, 54260, 35189, 1982, 54260, 97634, 2932, 4, 2205, 4838, 30109, 48904, 15307, 54260, 2882, 4, 2200, 14856, 170479, 95455, 21374, 50856, 42493, 27702, 3131, 226112, 55823, 1211, 4151, 7201, 23173, 5, 12415, 34482, 170355, 4944, 12483, 220224, 49008, 56170, 3131, 54260, 2648, 65482, 4, 2200, 8947, 3056, 3523, 75230, 15231, 2932, 3069, 27702, 48775, 23093, 12483, 7746, 7265, 26612, 81444, 20911, 29766, 6, 159696, 8903, 1211, 21776, 2050, 5, 1285, 7038, 16932, 170479, 160751, 12483, 8947, 12483, 21776, 2050, 192544, 6, 159696, 110317, 80885, 16667, 26612, 4231, 34079, 152848, 56170, 21776, 2050, 6235, 42023, 3523, 101328, 55823, 1211, 4, 2200, 4151, 874, 39083, 8300, 54260, 2882, 170479, 220224, 1211, 1751, 204403, 25207, 119718, 158548, 5, 95455, 192544, 170479, 6, 212484, 12483, 1285, 179096, 1211, 56170, 54745, 1982, 6235, 42023, 620, 29771, 55823, 1211, 4, 8947, 170479, 42493, 65848, 20260, 12483, 234917, 165284, 16747, 12483, 56170, 10676, 6235, 42023, 3069, 564, 29060, 4, 14856, 170479, 8947, 23050, 506, 51723, 6, 29060, 7972, 30750, 874, 39083, 2205, 4151, 6, 76776, 40920, 40611, 1470, 75230, 4944, 13342, 28726, 6093, 12483, 220224, 1211, 179096, 1211, 4, 8947, 170479, 620, 29771, 55823, 1211, 2808, 75230, 6293, 4151, 220224, 2882, 2200, 42493, 230764, 10676, 22444, 165354, 4, 2200, 170479, 42493, 220224, 1211, 3069, 119055, 23173, 46598, 3069, 8903, 2648, 87442, 5, 78956, 1470, 75230, 2702, 13342, 2865, 54260, 20315, 1211, 36324, 2181, 170479, 620, 29771, 55823, 1211, 230764, 21776, 2050, 22444, 165354, 4, 12023, 16747, 2882, 6, 68558, 26612, 1751, 46545, 13845, 112216, 22426, 9221, 4, 4838, 17190, 123073, 145813, 905, 28726, 4, 84475, 4838, 6, 78683, 33716, 239162, 23269, 6, 172060, 126968, 28726, 73784, 9719, 96986, 22444, 165354, 5, 16580, 83182, 23050, 26394, 1211, 7746, 1470, 54260, 1211, 14856, 46244, 80885, 16667, 6, 159696, 46244, 35596, 1285, 6319, 21106, 18415, 6, 159696, 16932, 12483, 5, 204982, 119718, 23173, 4113, 24621, 10213, 35189, 3069, 4151, 364, 75230, 2882, 4, 2200, 6235, 13458, 75230, 40920, 4838, 874, 59929, 165592, 3131, 44182, 4, 84475, 1470, 75230, 1644, 13342, 7508, 6093, 364, 75230, 2882, 4, 78278, 22753, 119055, 29060, 119055, 6093, 12483, 6, 238144, 4667, 5, 1285, 19302, 54260, 35189, 170479, 12483, 119055, 23173, 46598 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 220224, 1211, 4, 2200, 4852, 39083, 12483, 123736, 23741, 23050, 159696, 13805, 13845, 2882, 119055, 6093, 12483, 4, 1470, 75230, 1982, 220224, 119055, 6093, 12483, 27702, 7201, 54260, 40920, 5, 4484, 71577, 15907, 13845, 1112, 2808, 75230, 2702, 16629, 2882, 109226, 2200, 132025, 105235, 39340, 152848, 25616, 48904, 15307, 54260, 96986, 95564, 23173, 1644, 40096, 71512, 15, 95564, 23173, 1644, 29060, 10184, 159696, 2442, 16, 95564, 23173, 1644, 40096, 71512, 3056, 4838, 17288, 160687, 8903, 132025, 105235, 39340, 152848, 30109, 48904, 15307, 54260, 2882, 5, 1470, 54260, 1211, 132025, 68566, 6293, 69355, 4151, 30109, 48904, 15307, 54260, 2882, 67882, 40920, 1285, 6, 149364, 4852, 68558, 6235, 159696, 506, 5666, 32792, 2190, 24621, 147921, 50856, 32792, 3069, 6, 238144, 16932, 4113, 171433, 68566, 55823, 5, 4151, 30109, 48904, 75290, 230764, 120439, 23173, 1644, 40096, 71512, 4, 3373, 54260, 7369, 3056, 107189, 2442, 84475, 7369, 16667, 158652, 48775, 20260, 4, 65146, 120202, 8903, 46464, 83182, 2882, 119055, 6093, 12483, 4, 6, 238144, 1644, 34654, 30109, 48904, 15307, 54260, 2882, 2205, 55242, 46244, 132025, 105235, 39340, 16747, 5, 1285, 132025, 105235, 4484, 17310, 119055, 77188, 40653, 8903, 8903, 1982, 12483, 37729, 21776, 2050, 6, 64260, 506, 4113, 51723, 7265, 21776, 2050, 2865, 75230, 1644, 84475, 6, 113889, 4852, 4, 2200, 42493, 36324, 75230, 10184, 13845, 37729, 4151, 364, 75230, 2882, 4, 163139, 14856, 10339, 147713, 2882, 4838, 87311, 50853, 135118, 12483, 5, 1285, 179096, 1211, 2200, 4151, 1470, 75230, 2702, 21066, 24244, 3120, 6, 113889, 4852, 4, 874, 75230, 1644, 4, 1470, 75230, 6093, 12483, 2200, 3120, 74806, 119718, 9221, 12483, 3056, 55242, 46244, 132025, 105235, 39340, 16747, 5, 1982, 93704, 132, 49150, 78278, 30994, 17824, 93704, 194, 1285, 200795, 8300, 54260, 4944, 172398, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 220224, 49008, 7201, 23173, 47351, 2205, 220273, 195054, 4, 119055, 13845, 104238, 119055, 6093, 23822, 75230, 2882, 4, 6, 35596, 10918, 16747, 12483, 2200, 55242, 506, 2882, 1470, 75230, 2702, 963, 163139, 16175, 171433, 21087, 71804, 119221, 5, 1285, 6, 238144, 16932, 21660, 54260, 4944, 172398, 220224, 49008, 152, 56170, 1644, 71616, 3120, 71577, 29060, 15907, 4, 4838, 364, 54260, 18415, 1644, 230764, 4151, 3069, 23405, 4, 3559, 60118, 77525, 161459, 620, 29771, 6293, 4, 119055, 20616, 97634, 2932, 2200, 34654, 102756, 21733, 12483, 4, 2200, 7544, 79950, 54260, 2882, 5, 192183, 119718, 10705, 162493, 13159, 51678, 32611, 63188, 220224, 1211, 1285, 200795, 7916, 75578, 4484, 23173, 18415, 3120, 120439, 23173, 1644, 40096, 71512, 177157, 22426, 97634, 51723, 3120, 120439, 20961, 1644, 26632, 71512, 2205, 2648, 120467, 192544, 199145, 3056, 78278, 137765, 6235, 159696, 1211, 203013, 4, 364, 75230, 47332, 162726, 905, 34709, 17310, 6, 68558, 564, 25207, 4944, 12483, 29771, 42023, 69529, 34482, 170355, 107581, 5, 95455, 119055, 77188, 27702, 21847, 54260, 2882, 3120, 6319, 137377, 159696, 506, 97634, 2932, 2200, 119055, 20616, 97634, 2932, 2205, 506, 21106, 4852, 564, 54260, 2050, 6, 23173, 137377, 31249, 710, 183216, 5, 4151, 10184, 75578, 364, 75230, 47332, 7746, 27702, 119425, 6, 68558, 4, 42542, 119055, 6093, 12483, 39293, 46244, 364, 75230, 4667, 10676, 200795, 1211, 166464, 4, 2200, 132025, 506, 21106, 96986, 9424, 238144, 84475 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29434, 54260, 193012, 4, 2200, 7201, 23173, 17160, 54260, 1982, 12483, 17288, 104238, 3120, 4151, 133190, 101296, 44478, 32887, 2865, 149364, 40096, 14303, 4838, 119055, 29771, 4667, 9424, 54260, 2882, 4, 119055, 12483, 13159, 10339, 48904, 98833, 6, 68558, 10339, 21106, 12483, 5, 1285, 9915, 13845, 4484, 54260, 2882, 3120, 6, 172060, 75386, 3056, 2205, 116486, 22426, 29766, 42180, 7265, 10676, 7916, 75578, 5, 1285, 179096, 1211, 119055, 77188, 6235, 9719, 83182, 2882, 6, 159696, 46244, 35596, 4151, 364, 75230, 104238, 32887, 2865, 149364, 40096, 14303, 4, 92500, 3056, 33718, 20260, 13845, 5, 34654, 179096, 1211, 65146, 234917, 874, 39083, 130170, 46464, 40920, 119055, 6093, 12483, 4, 6, 238144, 1644, 2181, 35596, 119718, 125897, 21295, 7746, 123736, 23741, 2865, 39083, 2205, 4838, 24012, 6093, 12483, 35596, 10918, 16747, 17310, 5, 15, 39293, 506, 2882, 6319, 71577, 15907, 13845, 86083, 16, 7508, 31623, 17310, 3056, 564, 93704, 87442, 7265, 4838, 6, 238144, 2702, 12483, 364, 54260, 18415, 1644, 2819, 95298, 21776, 2050, 9424, 238144, 96986, 166464, 42542, 1285, 1065, 144180, 268, 126701, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 8300, 17310, 196979, 9213, 46244, 27702, 46464, 83182, 12483, 1470, 75230, 2702, 39293, 42023, 4, 119055, 12483, 1285, 7508, 75230, 18415, 41764, 41595, 4113, 71804, 4667, 6, 105235, 165354, 23173, 75230, 2702, 3120, 364, 54260, 18415, 1644, 2200, 7508, 6093, 145813, 54260, 1211, 55242, 506, 2882, 6428, 23173, 88680, 1470, 75230, 2702, 163139, 4838, 3373, 226112, 75578, 710, 5, 35189, 364, 23173, 1211, 42542, 119055, 6093, 12483, 7369, 61397, 2200, 7508, 75230, 3131, 161459, 4, 2200, 1285, 6, 100863, 43178, 32206, 3120, 2190, 13497, 12483, 1285, 6, 112452, 1982, 92605, 12483, 119055, 6093, 12483, 23050, 710, 119718, 39083, 12483, 5, 4151, 1470, 75230, 2702, 16629, 2882, 364, 75230, 47332, 7746, 6235, 159696, 506, 5666, 32792, 6, 68558, 3120, 6, 75290, 149364, 2200, 1751, 80453, 54260, 2882, 7746, 1470, 75230, 1982, 73784, 6235, 30473, 40920, 5, 4151, 6319, 39083, 63188, 3056, 3120, 7508, 75230, 4852, 78278, 45223, 2442, 75230, 2882, 5, 119055, 12483, 14856, 17806, 20911, 7746, 72577, 1470, 54260, 1211, 4, 55242, 506, 2882, 18225, 36324, 34654, 7508, 75230, 158652, 54260, 2882, 27702, 105235, 506, 2882, 69355, 19302, 54260, 23269, 41764, 41595, 6093, 26612, 4667, 40653, 4838, 7508, 75230, 96986, 17824, 106559, 5, 15, 39293, 506, 2882, 6, 88660, 7972, 111996, 119425, 220224, 18415, 12498, 16, 10069, 364, 75230, 2882, 42542, 220224, 1211, 74806, 119718, 39083, 12483, 4, 7265, 364, 45631, 2200, 564, 54260, 2702, 161829, 5, 119055, 12483, 4151, 1470, 75230, 2702, 16629, 2882, 68313, 160238, 88660, 1982, 12483, 6, 35596, 119718, 125897, 21295, 4, 2200, 14856, 6, 111684, 33716, 6428, 47351, 10676, 6, 223390, 6093, 40653, 10676, 4, 17160, 54260, 47332, 4838, 6, 238144, 101608, 9424, 54260, 4944, 12483, 4838, 6235, 119718, 710, 36419, 9424, 54260, 2882, 230764, 7508, 6093, 364, 75230, 2882, 3120, 30109, 48904, 4113, 12483, 5, 29771, 23741, 2865, 39083, 28415, 20911, 7746, 4838, 27702, 46464, 83182, 4113, 43449, 54260, 4944, 4484, 54260, 2882, 4838, 68550, 10676, 874, 75230, 1644, 4, 199145, 3056, 39293, 46244, 3496, 23173, 129071, 4113, 120749, 13456, 5, 3496, 64260, 3131, 95455, 6235, 30473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40920, 3056, 7508, 75230, 2882, 4, 28415, 20911, 7746, 6, 64260, 1285, 17160, 54260, 4944, 4484, 54260, 2882, 230764, 564, 54260, 20315, 220224, 96986, 3120, 6, 113889, 4852, 2200, 4838, 68550, 34654, 3944, 109636, 1211, 5, 2205, 4838, 55242, 13805, 6, 29766, 6093, 4852, 17645, 1982, 12483, 193012, 4838, 68550, 56170, 3131, 119718, 710, 16747, 29060, 7508, 6093, 1470, 75230, 2702, 16629, 2882, 2205, 7508, 6093, 207013, 2442, 123736, 38054, 3111, 23405, 163139, 6093, 37826, 7746, 27702, 119718, 710, 104149, 5, 2205, 120439, 23173, 1644, 40096, 71512, 3056, 55242, 46244, 3496, 23173, 129071, 6093, 34533, 13456, 95455, 3131, 54260, 1644, 12483, 7746, 3120, 7508, 6093, 364, 75230, 2882, 4, 2200, 199145, 1751, 23173, 59919, 7508, 6093, 1470, 75230, 2702, 16629, 2882, 4, 6, 21106, 7611, 43649, 23173, 75290, 68313, 4151, 1751, 54260, 1644, 12483, 5, 2181, 364, 75230, 47332, 7746, 6, 68558, 3120, 6235, 30473, 40920, 1751, 75230, 1211, 23165, 21776, 2050, 29434, 710, 96986, 166464, 92500, 1751, 80453, 54260, 2882, 7746, 1470, 75230, 2702, 73784, 657, 54260, 1982, 5, 2181, 6428, 75230, 77188, 657, 141847, 6093, 119055, 10705, 34654, 364, 75230, 2882, 3056, 1285, 75290, 4, 119718, 710, 9424, 5, 1982, 5, 230764, 1285, 364, 35596, 2200, 6, 131445, 5, 1285, 6, 101328, 28726, 211169, 3120, 6235, 30473, 40920, 3056, 163139, 4838, 112216, 1211, 35189, 4, 6, 159696, 46244, 35596, 3120, 34654, 364, 35596, 42542, 18225, 6, 23173, 137377, 3131, 54260, 1644, 12483, 64699, 1285, 4269, 48904, 26394, 364, 75230, 2882, 2205, 2808, 54260, 1211, 1751, 46545, 5, 48494, 203232, 1751, 54260, 1644, 12483, 6428, 75230, 77188, 6235, 159696, 506, 5666, 32792, 4838, 68550, 10184, 6093, 119055, 29771, 4944, 12483, 5, 88660, 710, 22426, 7972, 138194, 109226, 2200, 220224, 123073, 10339, 39083, 8903, 1211, 152, 1285, 224220, 22426, 7972, 138194, 109226, 3120, 120439, 23173, 1644, 40096, 71512, 220224, 49008, 10184, 109316, 2200, 874, 48904, 107581, 874, 39083, 55242, 46244, 7369, 16667, 18415, 152, 6, 35596, 10918, 50856, 17310, 3120, 133190, 195054, 2819, 6, 35596, 10918, 16747, 17310, 3120, 1470, 75230, 6093, 4, 199145, 56170, 63864, 170355, 40920, 36324, 75230, 123736, 23741, 16175, 75230, 106504, 54260, 2882, 2205, 16580, 83182, 2819, 6, 35596, 10918, 16747, 17310, 3120, 1285, 6, 100863, 54260, 2050, 506, 54260, 2882, 71804, 4667, 2200, 1285, 19302, 71577, 48904, 46598, 15, 159696, 1644, 119718, 4852, 16, 69355, 364, 23173, 26394, 1211, 199145, 42542, 44064, 6428, 75230, 6093, 12483, 95455, 4269, 48904, 26394, 17190, 1982, 12483, 2819, 56170, 23847, 13159, 6093, 109226, 69355, 1285, 29434, 710, 104149, 15, 21847, 43178, 69452, 16, 3120, 364, 23173, 1211, 2819, 6, 35596, 10918, 50856, 17310, 3120, 34654, 24012, 6093, 12483, 15, 23269, 7201, 48775, 710, 92178, 194, 4944, 107182, 2205, 76961, 7369, 16667, 18415, 10339, 21106, 12483, 3120, 120439, 23173, 1644, 40096, 71512, 42542, 18225, 28415, 165354, 6, 21106, 18279, 51723, 95766, 4151, 179096, 1211, 5, 22426, 59929, 2882, 230764, 230764, 34654, 24012, 6093, 12483, 6, 159696, 46244, 35596, 120439, 23173, 1644, 40096, 71512, 4, 40653, 506, 75230, 22426, 2882, 564, 54260, 2050, 72507, 3120, 7508, 6093, 7508, 12415, 16932, 119055, 29771, 4667, 5, 24012, 6093, 12483, 35596, 10918, 50856, 17310, 42542, 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, 2702, 23269, 2865, 54260, 20315, 2882, 119055, 6093, 12483, 103854, 160238, 30473, 40920, 93975, 1211, 3523, 75230, 2442, 4944, 12483, 3120, 30109, 48904, 4113, 12483, 5, 7369, 1644, 75230, 47332, 42493, 10676, 192544, 6, 23173, 137377, 8903, 42023, 69355, 564, 29060, 78278, 4151, 81444, 20911, 29766, 364, 54260, 16803, 5, 19302, 54260, 47332, 1470, 75230, 2702, 1285, 145813, 54260, 4852, 4, 2200, 874, 54260, 20315, 2882, 1470, 75230, 35044, 905, 23741, 13342, 8903, 1211, 5, 238144, 16932, 4113, 224220, 22426, 7972, 138194, 109226, 3120, 120439, 23173, 1644, 40096, 71512, 51678, 220224, 1211, 152, 163139, 18415, 16803, 48904, 8580, 4, 22426, 12666, 121865, 710, 4, 82977, 87311, 142170, 4, 2200, 6, 144532, 40096, 78653, 5, 95298, 76961, 6, 144295, 39293, 224220, 22426, 7972, 138194, 109226, 51678, 1470, 75230, 2702, 8903, 2865, 54260, 20315, 2882, 119055, 6093, 12483, 37729, 160238, 30473, 40920, 2200, 221067, 1211, 3523, 75230, 32206, 12483, 5, 1982, 26612, 506, 183512, 1644, 17310, 5, 6, 35596, 159696, 35189, 1285, 10339, 26612, 123559, 4113, 84475, 4151, 81444, 20911, 29766, 170479, 24621, 50853, 12483, 10676, 10339, 21106, 3069, 4151, 43649, 142429, 2882, 152185, 56170, 119718, 186955, 17310, 5, 4151, 30109, 48904, 75290, 2200, 4852, 54260, 49008, 6, 23173, 75230, 51437, 13845, 59919, 170479, 12483, 34076, 54260, 4667, 120202, 8903, 46464, 83182, 2882, 119055, 6093, 12483, 163139, 6, 238144, 2882, 178748, 32792, 3120, 10069, 221895, 7265, 97594, 35189, 3120, 364, 75230, 4852, 8903, 30473, 16747, 5, 133190, 1285, 199145, 27702, 506, 183512, 1644, 12483, 10676, 4484, 48775, 23269, 12483, 170479, 12483, 7369, 1644, 75230, 47332, 119055, 6093, 12483, 6, 23173, 54260, 5666, 104378, 2205, 30109, 48904, 165354, 10918, 46685, 5, 76961, 1470, 75230, 5666, 75230, 15231, 8903, 6, 23173, 46545, 1644, 12483, 170479, 12483, 4151, 238144, 16932, 2882, 119055, 6093, 12483, 3120, 21422, 46685, 5, 8947, 170479, 12483, 6235, 13458, 75230, 40920, 2808, 75230, 2702, 16629, 2882, 109226, 4, 2200, 132025, 105235, 39340, 152848, 30109, 48904, 15307, 54260, 96986, 38230, 159696, 25207, 1211, 27702, 46464, 83182, 4113, 6235, 7201, 13159, 5, 95455, 21422, 46685, 170479, 220224, 1211, 72577, 1470, 75230, 2702, 8903, 12666, 23741, 77188, 2200, 26217, 2882, 190800, 8903, 506, 54260, 56169, 5, 35189, 45223, 23093, 54745, 22426, 23173, 2882, 96302, 119055, 29060, 42493, 7369, 1644, 75230, 1982, 12483, 36324, 1285, 221895, 7265, 97594, 35189, 69355, 4151, 10339, 26612, 123559, 4113, 170479, 12483, 56170, 39340, 46244, 12483, 7265, 221895, 114955, 3120, 4151, 101251, 8903, 1982, 17310, 5, 27702, 29659, 710, 63532, 1470, 54260, 1211, 7265, 97594, 2648, 3120, 4151, 10339, 26612, 123559, 4113, 199145, 170479, 10676, 30109, 48904, 25616, 12483, 27702, 12415, 49008, 4, 2200, 170479, 7746, 6, 21106, 54260, 1211, 72577, 21776, 4852, 24295, 55823, 138194, 12483, 1470, 54260, 35189, 7369, 107776, 163139, 35189, 95766, 27702, 65606, 2442, 17310, 7265, 1285, 221895, 7265, 5666, 7972, 35189, 3120, 4151, 10339, 26612, 123559, 4113, 5, 159696, 46244, 35596, 7508, 6093, 27702, 506, 183512, 1644, 17310, 3056, 55242, 46244, 163139, 40920, 18640, 36324, 7508, 6093, 30109, 48904, 75290, 1054, 39083, 220224, 1211, 29771, 55823, 1211, 4, 40611, 3069, 45223, 55823, 1211, 220224, 1211, 163139, 2882, 21106, 131044, 2200, 7508, 6093, 133190, 101296, 44478, 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 ]
[ 138194, 50931, 215726, 5, 6093, 170479, 81414, 20260, 12483, 4838, 3373, 4667, 119055, 59929, 6093, 9747, 3069, 6681, 2865, 54260, 20315, 1211, 6, 73906, 97634, 177243, 54260, 1982, 17310, 2205, 156104, 6093, 12483, 5, 3944, 2865, 232187, 2442, 4, 6, 23173, 141943, 30473, 170355, 23741, 2200, 17824, 54260, 80453, 4852, 49792, 220224, 49008, 55242, 46244, 4838, 23405, 65482, 56417, 73784, 81414, 20260, 12483, 2205, 215031, 10339, 21106, 5, 10069, 200795, 27702, 506, 183512, 1644, 17310, 3056, 4838, 1751, 238144, 1211, 144754, 13845, 5, 1470, 75230, 1982, 4151, 1470, 75230, 2702, 16629, 2882, 3056, 113889, 4667, 42493, 6, 23173, 75230, 2702, 230764, 4151, 364, 75230, 2882, 4, 119055, 29060, 2181, 6, 23173, 75230, 2702, 8903, 1982, 48775, 40920, 119055, 6093, 12483, 37729, 4838, 506, 54260, 101608, 6, 64991, 1982, 29771, 4667, 2200, 364, 54260, 2702, 12483, 6235, 2882, 48775, 20260, 5, 874, 48904, 4944, 12483, 874, 39083, 42542, 18225, 132025, 506, 75230, 1982, 12483, 7265, 26612, 364, 54260, 101608, 1470, 54260, 5666, 22426, 92605, 17310, 5, 4838, 32887, 5666, 7972, 30750, 17190, 90536, 30750, 564, 29766, 3056, 163139, 24152, 170355, 2050, 2200, 4151, 94626, 29659, 5, 1470, 75230, 1982, 10676, 30109, 48904, 165354, 26, 2702, 32887, 2865, 149364, 40096, 14303, 3056, 55242, 46244, 364, 75230, 4667, 4, 178748, 34654, 191795, 79950, 5594, 44478, 220224, 1211, 2200, 163139, 35189, 506, 39083, 2882, 119055, 6093, 12483, 234917, 874, 39083, 5, 4151, 6319, 137377, 170479, 220224, 1211, 115222, 54574, 5, 4484, 137377, 159696, 506, 97634, 2932, 4, 620, 29771, 7201, 212484, 18640, 4484, 54260, 2882, 2200, 4151, 9221, 49792, 15, 119718, 43590, 54561, 8580, 16, 51678, 6235, 9719, 50853, 77188, 159696, 25207, 1211, 37729, 6, 47351, 1470, 54260, 4852, 1982, 54260, 18415, 1644, 73784, 6319, 137377, 5, 7201, 23173, 6, 35596, 10918, 16747, 17310, 3120, 364, 21106, 4852, 42542, 18225, 6235, 13458, 75230, 4944, 12483, 364, 54260, 36419, 78104, 104238, 4, 6, 113889, 4944, 8903, 7201, 39083, 98833, 3120, 4151, 506, 31623, 17310, 2702, 88660, 2865, 80453, 13159, 12483, 15, 39293, 506, 2882, 6319, 71577, 5, 10461, 5, 56170, 364, 21106, 4852, 159696, 506, 97634, 65442, 39083, 18225, 3069, 147713, 12483, 6, 47351, 1470, 54260, 4852, 1982, 54260, 18415, 1644, 73784, 364, 21106, 4852, 5, 56170, 895, 16932, 4113, 114955, 3056, 72577, 13342, 160751, 12483, 9934, 75230, 8903, 1211, 19302, 54260, 23269, 1751, 46545, 71804, 4667, 1470, 54260, 4852, 5, 95455, 874, 75230, 1644, 4, 34654, 6, 113889, 4852, 4, 2200, 220273, 195054, 4852, 39083, 12483, 193012, 32792, 27702, 506, 183512, 13845, 2882, 119055, 6093, 12483, 5, 14856, 42542, 220224, 1470, 75230, 21087, 80453, 31623, 12483, 84475, 132025, 710, 62808, 12483, 7265, 6, 149364, 92605, 96743, 15435, 123736, 119718, 14779, 175323, 13982, 142429, 4852, 49008, 4, 6, 90848, 69801, 26, 2702, 3373, 39083, 75230, 68558, 4, 3944, 82576, 8580, 4, 37271, 2932, 71804, 7682, 64260, 85465, 175323, 87311, 79981, 2004, 6, 29766, 6093, 11265, 2932, 35596, 221895, 4838, 50778, 36419, 22426, 2882, 71512, 6, 21106, 78683, 79981, 9719, 21338, 12483, 5, 15, 39293, 506, 2882, 6319, 71577, 15907, 13845, 2289, 16, 2808, 75230, 6093, 159696, 506, 97634, 2932, 4, 84475, 95455, 34654, 49008, 3120, 1470, 75230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6093, 152, 119055, 12483, 95455, 6, 186145, 23741, 170479, 51723, 34076, 54260, 4667, 6, 212484, 12483, 163139, 2702, 12483, 21776, 2050, 81444, 20911, 29766, 5, 4151, 10213, 82576, 7265, 13845, 56170, 1470, 75230, 6093, 159696, 506, 97634, 2932, 3056, 6, 71804, 23405, 170355, 2050, 1470, 75230, 15949, 80453, 31623, 12483, 10676, 1470, 75230, 6093, 7265, 4838, 10339, 26612, 106559, 12483, 15857, 12415, 16747, 4852, 103955, 2932, 4, 84475, 7265, 4838, 19302, 54260, 119132, 65902, 82576, 132025, 8903, 46590, 2882, 7265, 119055, 59929, 6093, 3120, 21213, 17824, 93704, 4, 7201, 26612, 506, 189623, 506, 54260, 2882, 5, 1470, 75230, 1982, 2181, 7508, 41595, 3120, 1470, 75230, 6093, 170479, 18225, 3069, 8903, 1982, 12483, 1388, 3117, 564, 29766, 7682, 8947, 15435, 13342, 2050, 119055, 59929, 6093, 5, 125523, 21776, 2050, 1470, 75230, 21087, 80453, 31623, 12483, 27702, 29659, 75230, 47332, 10676, 1470, 75230, 6093, 7265, 564, 29766, 7682, 13159, 15435, 4, 2200, 43649, 87442, 6, 23173, 54260, 1211, 4838, 1751, 46545, 109316, 4838, 1982, 2702, 29766, 1982, 35596, 6, 78683, 28320, 2205, 1470, 75230, 6093, 5, 2808, 75230, 1982, 8947, 6, 35596, 119718, 123329, 2882, 7746, 24012, 6093, 12483, 35596, 10918, 16747, 17310, 125523, 1470, 54260, 35189, 4151, 10184, 75578, 7201, 23173, 8903, 506, 2882, 4, 170479, 18225, 42493, 160751, 12483, 1285, 6319, 21106, 18415, 174538, 12483, 5, 14856, 6, 39083, 1470, 75230, 114349, 54260, 20315, 1211, 56170, 16580, 54574, 17310, 4, 2200, 364, 21106, 96986, 10676, 30109, 48904, 165354, 2205, 564, 29060, 5, 204982, 6, 47351, 120202, 111684, 155045, 18415, 1644, 3120, 4113, 22426, 96743, 203232, 3373, 39083, 125830, 15, 12890, 16932, 170355, 79981, 194, 1285, 145813, 54260, 4852, 65146, 27702, 105235, 42023, 190800, 2808, 75230, 2702, 3120, 7544, 66317, 92500, 3947, 76179, 506, 3131, 22426, 54260, 4852, 4, 2200, 14856, 170479, 160751, 12483, 4838, 3373, 4667, 119055, 59929, 6093, 73784, 81414, 20260, 12483, 5, 95455, 4838, 67873, 159696, 2882, 45223, 55823, 1211, 56170, 1644, 54260, 4944, 16932, 12483, 1285, 4838, 68697, 54260, 2882, 3120, 34654, 24012, 6093, 12483, 5, 14856, 170479, 67882, 4944, 12483, 3131, 119718, 31623, 12483, 7265, 364, 54260, 36419, 1470, 54260, 5666, 22426, 92605, 109226, 2200, 364, 54260, 36419, 10213, 35189, 5, 364, 54260, 36419, 6, 170355, 79981, 144581, 82576, 2702, 220224, 49008, 55242, 46244, 163139, 24152, 170355, 2050, 5, 2357, 1650, 306, 19, 339, 19, 8287, 5, 10713, 2451, 10927, 5, 568, 11036, 71025, 4151, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 10069, 3523, 75230, 69452, 170479, 27702, 120749, 12483, 177274, 6, 192539, 17310, 3120, 6, 172060, 75386, 5, 7508, 6093, 30109, 48904, 75290, 170479, 2808, 75230, 114349, 54260, 20315, 1211, 10184, 4852, 40697, 132025, 29659, 2442, 141847, 17310, 5, 10069, 145813, 54260, 4852, 12, 4838, 75386, 34654, 32887, 2865, 149364, 40096, 14303, 43649, 54260, 98833, 4, 119055, 77188, 4151, 4838, 109636, 15231, 48253, 119718, 26612, 4667, 4, 2200, 1285, 56170, 2648, 54260, 2808, 17310, 119055, 77188, 74806, 16932, 2882, 2819, 6428, 23173, 88680, 3056, 3523, 75230, 15231, 2932, 3069, 160751, 12483, 145813, 54260, 4852, 199145, 42542, 657, 54260, 40920, 56170, 2648, 54260, 29060, 119055, 6093, 12483, 4, 2200, 119055, 29060, 42493, 6, 23173, 75230, 7201, 119718, 23173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 55823, 1211, 4838, 13342, 1751, 159696, 25207, 170513, 230764, 1285, 4838, 136108, 54260, 2808, 17310, 2702, 29766, 119859, 49008, 4, 40653, 506, 75230, 22426, 2882, 34654, 24012, 6093, 12483, 5, 2865, 54260, 20315, 2882, 1470, 75230, 2702, 46654, 54260, 3131, 4, 2200, 6235, 13458, 75230, 40920, 7544, 66317, 7265, 3947, 76179, 506, 4, 6, 97634, 71616, 4, 9424, 119718, 16011, 92605, 4, 7201, 23173, 3131, 54260, 2648, 65482, 9721, 37016, 55823, 16803, 3131, 22426, 54260, 104149, 4, 2200, 80839, 47332, 170355, 23741, 12483, 5, 159696, 8903, 1211, 21776, 2050, 1751, 54260, 1644, 12483, 3120, 4151, 364, 75230, 2882, 7508, 54260, 47332, 193012, 32792, 1470, 54260, 1211, 7265, 4838, 7972, 119718, 1470, 75230, 1644, 4, 71804, 113889, 79981, 4, 84475, 6319, 218241, 171433, 64260, 1470, 75230, 1644, 5, 56170, 10676, 132025, 710, 62808, 12483, 1285, 364, 75230, 2882, 4, 6235, 13458, 75230, 4944, 57277, 1751, 119718, 26612, 1982, 3120, 6, 78683, 68697, 39083, 4852, 54260, 6293, 5, 35189, 30109, 48904, 75290, 170479, 43449, 54260, 1982, 12483, 120202, 8903, 46464, 83182, 2882, 78278, 95455, 1751, 54260, 1644, 12483, 37826, 10339, 39083, 29659, 186797, 1470, 75230, 111137, 506, 77188, 4, 2200, 14856, 28415, 20911, 42493, 14856, 46244, 6, 21106, 18279, 51723, 2205, 4151, 179096, 1211, 5, 2648, 120467, 6428, 75230, 77188, 6, 159696, 110317, 80885, 16667, 55242, 13805, 119055, 29766, 12483, 5, 87311, 59094, 12483, 15, 9719, 39293, 75386, 16, 10069, 6, 90848, 30473, 8903, 30109, 48904, 15307, 54260, 2882, 2205, 1285, 56170, 3131, 80453, 54260, 2882, 80885, 3120, 76961, 1470, 75230, 2702, 16629, 2882, 25616, 48904, 15307, 75230, 96986, 5, 2181, 3056, 1470, 75230, 4667, 1285, 132025, 105235, 39340, 16747, 80885, 3120, 76961, 4838, 122868, 63593, 54260, 1211, 16580, 83182, 36326, 25616, 48904, 15307, 54260, 96986, 5, 6, 87311, 59094, 12483, 3056, 132025, 710, 18415, 39340, 50856, 34076, 54260, 4667, 3120, 132025, 7201, 48904, 2932, 5, 8947, 23050, 506, 63532, 4838, 26394, 42023, 193012, 1470, 54260, 35189, 14856, 55242, 506, 2882, 1285, 200795, 9424, 54260, 4944, 172398, 3120, 6, 87311, 59094, 12483, 4, 199145, 220224, 49008, 20616, 5666, 32792, 3069, 4838, 43649, 23173, 75290, 56170, 16580, 54574, 17310, 5, 101251, 23269, 55823, 46244, 21776, 2050, 10184, 6093, 26394, 506, 13497, 12483, 166464, 6093, 3131, 54260, 13497, 4151, 1470, 75230, 2702, 16629, 2882, 5, 1285, 9181, 23741, 199145, 7508, 6093, 30109, 48904, 75290, 6, 64260, 506, 63593, 2882, 84475, 364, 71616, 29771, 35189, 24012, 40920, 6, 23173, 75230, 2702, 3056, 4151, 6319, 119718, 21106, 3120, 132025, 15907, 37016, 17310, 4, 2200, 44064, 4838, 58571, 26394, 6, 238144, 28726, 95766, 215031, 6, 40096, 87311, 59919, 4113, 3056, 6235, 3111, 2932, 7746, 132025, 13342, 105235, 165354, 5, 21087, 2865, 22426, 97634, 51723, 12, 1285, 177157, 22426, 97634, 51723, 7369, 3131, 54260, 49008, 6, 203326, 71804, 4944, 238144, 4852, 2819, 3069, 6093, 29659, 7916, 75578, 2200, 6319, 40096, 23173, 4, 125523, 1470, 54260, 35189, 8947, 7369, 3131, 54260, 13497, 4151, 1470, 75230, 2702, 16629, 2882, 5, 4151, 30109, 48904, 75290, 506, 75230, 47332, 6, 68558, 6, 99611, 12483, 2200, 6, 111684, 33716, 6319, 186955, 4, 1285, 6, 113889, 4852, 7508, 41595, 4, 1285, 1470, 75230, 8903, 1211, 220224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49008, 119055, 59929, 6093, 18640, 4, 2200, 1470, 75230, 111137, 25207, 98833, 4, 8947, 145813, 54196, 7746, 4838, 7544, 79950, 54260, 2882, 4, 18225, 3056, 620, 29771, 7201, 212484, 4, 60118, 77525, 18640, 4, 2200, 18225, 364, 71616, 7265, 4838, 6, 110129, 39340, 119132, 4, 364, 23173, 96986, 364, 71616, 12483, 199145, 27702, 238144, 4852, 57277, 4852, 7508, 6093, 6319, 40096, 23173, 37826, 7746, 1470, 75230, 2702, 8903, 3131, 80453, 54260, 2882, 36324, 3131, 73784, 115222, 506, 63849, 137377, 2200, 3069, 1285, 9181, 87178, 20616, 25207, 1211, 5, 2205, 6, 64260, 7508, 6093, 165284, 55823, 4, 1470, 54260, 35189, 4151, 1470, 75230, 2702, 16629, 2882, 27702, 238144, 4852, 2882, 7746, 4, 3056, 1982, 54260, 10676, 81444, 20911, 29766, 4838, 10339, 48775, 8903, 1470, 75230, 1982, 7508, 6093, 30109, 48904, 75290, 657, 54260, 20315, 2882, 3120, 9721, 171433, 15949, 92178, 4, 29771, 35189, 3120, 4838, 56170, 16580, 54574, 17310, 5, 7508, 6093, 364, 71616, 12483, 3056, 178748, 32792, 55242, 46244, 6, 47351, 1470, 75230, 2702, 101296, 16932, 192539, 2200, 16175, 55049, 114436, 5, 2205, 9721, 71616, 78683, 80885, 1211, 6, 111684, 33716, 7746, 23165, 6, 47351, 6, 35596, 10918, 16747, 17310, 92500, 119055, 20616, 97634, 2932, 5, 10676, 10184, 6093, 96986, 166464, 4, 1470, 54260, 35189, 4151, 1470, 75230, 2702, 16629, 2882, 27702, 238144, 4852, 2882, 7746, 6, 4, 42542, 51723, 23165, 55242, 42023, 2205, 874, 75230, 1644, 4838, 39340, 8903, 1211, 1285, 564, 92605, 8300, 54260, 59461, 4, 19302, 54260, 23269, 6, 238144, 175247, 75230, 4113, 46654, 37016, 12483, 4838, 144532, 61397, 23174, 13845, 2882, 7265, 7508, 75230, 2882, 149010, 2442, 364, 75230, 2882, 4, 199145, 220224, 49008, 3496, 23173, 129071, 6093, 34533, 13456, 7201, 23173, 6, 87311, 59094, 12483, 5, 1285, 4113, 39293, 46654, 37016, 12483, 364, 54260, 2702, 12483, 137, 4484, 137377, 105330, 26, 2050, 6, 150349, 40096, 2702, 2004, 125523, 10676, 6, 113889, 51723, 69355, 10676, 81444, 20911, 29766, 199145, 37826, 220224, 6, 35596, 2648, 87442, 5, 10069, 364, 75230, 2882, 3120, 220273, 195054, 119055, 77188, 7508, 75230, 2882, 2200, 4269, 71804, 109985, 4, 2200, 230764, 10676, 6, 94741, 4667, 3120, 2865, 75230, 1644, 42542, 18225, 55242, 42023, 19302, 54260, 23269, 10213, 95064, 71804, 4667, 5, 1285, 81444, 30473, 8903, 9424, 54260, 4944, 172398, 7369, 3131, 54260, 49008, 6235, 159696, 506, 5666, 32792, 125523, 56170, 10676, 1470, 75230, 2702, 16629, 2882, 5, 95766, 14856, 46244, 80885, 10339, 21106, 12483, 7369, 3131, 54260, 13497, 4151, 1470, 75230, 2702, 16629, 2882, 10676, 29434, 710, 96986, 4, 10184, 6093, 96986, 4, 29771, 35189, 37640, 23741, 12483, 166464, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 2819, 4151, 17824, 13159, 16932, 16175, 54260, 1644, 7369, 3131, 54260, 13497, 10676, 2808, 75230, 2702, 16629, 2882, 109226, 4, 2200, 132025, 105235, 39340, 152848, 30109, 48904, 15307, 54260, 96986, 6, 118552, 7916, 6093, 96986, 166464, 5, 4151, 10184, 75578, 4, 199145, 3056, 132025, 7201, 48904, 2932, 2702, 6235, 159696, 1211, 55242, 46244, 364, 75230, 4667, 4, 42542, 178748, 32792, 56170, 3131, 119718, 710, 16747, 12483, 1470, 54260, 35189, 7508, 6093, 1470, 75230, 2702, 16629, 2882, 27702, 238144, 4852, 2882, 7746, 4, 95298, 7369, 42542, 7746, 119718, 88945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17800, 39083, 12483, 5, 4151, 1470, 75230, 2702, 16629, 2882, 55242, 506, 2882, 1470, 75230, 2702, 163139, 27702, 29659, 710, 188201, 4, 27702, 46464, 83182, 4113, 46654, 37016, 12483, 4, 199145, 4151, 87311, 49008, 6, 68558, 4838, 6, 203326, 3120, 4838, 46654, 75230, 15, 39293, 506, 2882, 6, 88660, 7972, 111996, 50853, 4, 220224, 18415, 1381, 16, 3069, 6093, 29659, 130170, 1285, 1470, 75230, 6093, 12483, 4, 230764, 26, 1211, 364, 21106, 4852, 4, 564, 54260, 1285, 119055, 29766, 34709, 12483, 3120, 1285, 1470, 75230, 6093, 12483, 4, 2808, 75230, 6293, 10676, 1751, 16932, 12483, 4, 2200, 4, 3069, 28726, 56169, 4, 230764, 10676, 6, 75290, 149364, 2200, 230764, 1285, 364, 35596, 2200, 131445, 5, 4151, 144754, 130170, 3131, 54260, 20315, 2882, 7746, 6, 87311, 59094, 12483, 3120, 120439, 23173, 1644, 40096, 71512, 152, 2205, 120439, 23173, 1644, 40096, 71512, 7369, 3131, 54260, 13497, 4151, 1470, 75230, 2702, 16629, 2882, 3069, 6093, 29659, 230764, 10676, 6, 75290, 149364, 4, 2200, 1285, 46654, 37016, 12483, 4852, 54260, 49008, 55242, 46244, 19302, 54260, 23269, 5, 4151, 1470, 75230, 2702, 16629, 2882, 2205, 6, 87311, 59094, 12483, 119055, 77188, 6, 186955, 45223, 6093, 4, 7369, 3131, 54260, 13497, 6, 139485, 22426, 13159, 238144, 4852, 4, 2200, 42542, 220224, 1211, 6, 35596, 159696, 35189, 121193, 71577, 4, 84475, 55242, 46244, 56170, 3131, 80453, 54260, 2882, 5, 29771, 75578, 163139, 56170, 3131, 80453, 54260, 2882, 8947, 170479, 42493, 220224, 1211, 4, 55242, 506, 2882, 18225, 81444, 4667, 7369, 16932, 238144, 4852, 1285, 3523, 40096, 9221, 149010, 364, 75230, 2882, 4, 2200, 4151, 144754, 130170, 3131, 54260, 20315, 2882, 7746, 8947, 3120, 120439, 23173, 1644, 40096, 71512, 5, 21776, 45629, 75230, 2702, 16629, 2882, 230764, 21776, 2050, 6235, 30473, 40920, 42542, 56170, 3131, 119718, 710, 16747, 12483, 125523, 1470, 54260, 35189, 1285, 6, 131445, 119055, 6093, 12483, 1982, 93704, 87442, 4151, 144754, 5, 2205, 17288, 40377, 96986, 17824, 93704, 3120, 1470, 75230, 2702, 16629, 2882, 3056, 95455, 6235, 30473, 40920, 74806, 119718, 39083, 12483, 4, 2200, 55242, 506, 2882, 1470, 75230, 2702, 163139, 190800, 8903, 88660, 40920, 4, 199145, 3056, 55242, 46244, 3496, 23173, 129071, 6093, 34533, 13456, 5, 7265, 4151, 9424, 54260, 2882, 119055, 77188, 4151, 2808, 75230, 2702, 16629, 2882, 41764, 14303, 172060, 136108, 75230, 2882, 5, 1285, 1470, 75230, 8903, 1211, 4852, 54260, 49008, 55242, 46244, 37922, 7916, 16747, 32792, 3069, 3944, 40920, 18640, 54100, 6319, 54260, 2882, 6, 159696, 46244, 35596, 10676, 1470, 75230, 2702, 16629, 2882, 5, 4151, 130171, 30109, 48904, 75290, 364, 71616, 2200, 3056, 364, 54260, 168155, 18640, 5, 66947, 1211, 95455, 1751, 54260, 1644, 12483, 364, 75230, 47332, 7746, 6, 68558, 125523, 10676, 39674, 163139, 4151, 1470, 75230, 2702, 16629, 2882, 56170, 3131, 119718, 710, 16747, 29060, 4, 14, 474, 95298, 1285, 1751, 39083, 4113, 211169, 3056, 55242, 46244, 42355, 2200, 30473, 1644, 75578, 2442, 54260, 2702, 4, 199145, 3056, 55242, 46244, 56170, 3131, 54260, 20315, 1211, 3120, 4151, 1751, 39083, 4113, 18406, 2205, 120439, 23173, 1644, 40096, 71512, 5, 87311, 59094, 12483, 42542, 46711, 73381, 12483, 6, 35596, 159696, 2442, 6093, 95766, 4838, 55242, 46244, 107189, 35189, 160238, 2050 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 84475, 7916, 75578, 17160, 40096, 2205, 6, 87311, 59094, 12483, 8947, 42542, 220224, 1211, 55242, 46244, 7369, 16667, 2882, 4, 2200, 27702, 21847, 54260, 2882, 119055, 6093, 12483, 3120, 10184, 75578, 4, 54745, 1644, 9221, 49792, 4, 26612, 16175, 55049, 65482, 4, 3069, 22426, 71804, 8300, 18415, 3069, 23405, 4, 4838, 1751, 119718, 26612, 4944, 12483, 4, 9915, 109316, 1211, 6, 172060, 75386, 4, 101251, 101296, 40920, 4, 2200, 3131, 23173, 55823, 6, 59461, 159696, 39293, 177157, 22426, 97634, 51723, 5, 1470, 75230, 1982, 1285, 30109, 48904, 15307, 54260, 2882, 119055, 77188, 6235, 506, 6093, 18640, 27702, 506, 183512, 13845, 2882, 4, 46711, 73381, 12483, 55242, 46244, 55242, 1644, 96986, 224220, 22426, 7972, 138194, 109226, 2819, 119055, 10705, 95298, 1285, 27702, 506, 183512, 1644, 17310, 68313, 42493, 1285, 112216, 36419, 152848, 4, 51678, 46711, 73381, 12483, 36324, 13845, 107581, 224220, 22426, 7972, 138194, 109226, 163139, 9721, 171433, 88660, 96951, 87311, 142170, 4, 1470, 75230, 6093, 8903, 3131, 119718, 9221, 12483, 4, 7369, 16667, 18415, 1470, 75230, 8903, 1211, 25616, 48904, 15307, 54260, 96986, 4, 364, 23173, 7611, 3131, 71804, 42410, 54260, 2882, 4, 2200, 874, 75230, 1644, 226112, 69801, 2702, 4, 2200, 44064, 1751, 119718, 710, 16747, 46464, 40920, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 3056, 39083, 54196, 10676, 30109, 48904, 4113, 12483, 5, 657, 35596, 1470, 30682, 2205, 564, 29060, 4, 95766, 4838, 17824, 75230, 2702, 12483, 4, 1470, 75230, 2702, 195054, 25046, 16932, 96986, 21422, 46685, 5, 95455, 564, 29060, 170479, 36324, 75230, 4838, 159696, 4484, 190135, 119055, 6093, 12483, 36324, 1285, 1751, 54260, 1211, 3120, 3944, 40920, 170479, 42493, 1751, 203749, 12483, 10676, 30109, 48904, 4113, 12483, 2205, 34654, 2808, 75230, 8903, 1211, 5, 1285, 32887, 2865, 149364, 40096, 14303, 3120, 21422, 46685, 170479, 220224, 1211, 4838, 34076, 54260, 4944, 195164, 93975, 4, 3120, 5684, 78278, 5757, 17824, 93704, 4, 10339, 5, 74, 95455, 21422, 46685, 170479, 42493, 220224, 1211, 3069, 3944, 40920, 18640, 4, 2200, 1470, 75230, 4667, 42493, 3069, 33718, 20260, 13845, 5, 2932, 15907, 10676, 30109, 48904, 165354, 6235, 3111, 2932, 32054, 40697, 9181, 23741, 2819, 6, 238144, 1644, 95455, 119055, 29060, 1470, 30682, 45223, 55823, 1211, 45521, 54574, 12483, 564, 92605, 159696, 2050, 4, 1285, 30109, 48904, 15307, 54260, 2882, 119055, 29060, 6428, 75230, 6093, 12483, 119055, 76632, 61397, 4, 2200, 14856, 119055, 29060, 1470, 75230, 114349, 54260, 20315, 1211, 56170, 3131, 54260, 2648, 65482, 178748, 149010, 224220, 22426, 7972, 138194, 109226, 5, 108265, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 97634, 48775, 7508, 218241, 205416, 65146, 151614, 1982, 12483, 1285, 1470, 75230, 7201, 75230, 40920, 40653, 21776, 2050, 30109, 48904, 165354, 4, 95298, 10184, 13845, 165354, 6235, 23093, 2884, 119055, 6093, 12483, 3069, 67882, 4944, 12483, 21776, 2050, 30109, 48904, 4113, 12483, 10184, 46244, 12483, 564, 92605, 159696, 2050, 5, 34076, 54260, 4667, 564, 54260, 2050, 171433, 7201, 48904, 2932, 170479, 18225, 160751, 12483, 4838, 364, 54260, 36419, 6, 64991, 1982, 142429, 4, 84475, 4838, 364, 54260, 36419, 119055, 48904, 4113, 7265, 4838, 364, 54260, 2702, 12483, 6235, 2882, 48775, 20260, 5, 6, 159696, 46244, 35596, 2181, 6428, 75230, 77188, 34654 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 56170, 16580, 46244, 17310, 2205, 6319, 137377, 170479, 18225, 160751, 12483, 364, 54260, 36419, 78104, 104238, 564, 54260, 97634, 2932, 2200, 6, 87311, 95064, 16667, 4, 40611, 3069, 27702, 39340, 112595, 12483, 10676, 364, 75230, 4944, 12483, 7916, 75578, 5, 1470, 75230, 1982, 3523, 75230, 15231, 2932, 178748, 18225, 160751, 12483, 34654, 99531, 2442, 4838, 46590, 905, 123736, 7201, 16932, 5, 67537, 710, 3069, 107189, 2442, 6093, 12483, 48494, 203232, 564, 54260, 2702, 12483, 19532, 6093, 9721, 171428, 3120, 4151, 364, 75230, 2882, 4, 170479, 18225, 6, 35596, 159696, 35189, 132025, 3131, 62808, 12483, 7265, 6, 78683, 68697, 29766, 26612, 15533, 2442, 119055, 165592, 13845, 8580, 4, 84475, 564, 29766, 12483, 2205, 4838, 3373, 39083, 75230, 68558, 3120, 564, 54260, 78683, 68697, 239162, 15907, 123736, 119718, 191795, 25207, 4, 84475, 2205, 4838, 4231, 119718, 26612, 75578, 3373, 39083, 75230, 68558, 3120, 6, 78683, 68697, 39083, 4852, 54260, 6293, 5, 7201, 23173, 1285, 1470, 75230, 8903, 1211, 3056, 72577, 3069, 6235, 13458, 75230, 4944, 12483, 1470, 75230, 8903, 1211, 23822, 137377, 12483, 4, 10184, 6093, 105780, 6293, 874, 39083, 18415, 2932, 32792, 4, 84475, 4838, 6, 4, 26, 418, 3373, 29766, 33104, 68558, 3120, 564, 29766, 7682, 8947, 15435, 5, 56170, 22444, 506, 101328, 4852, 18640, 4484, 54260, 2882, 3056, 72577, 13342, 160751, 12483, 4838, 119055, 23173, 4113, 24621, 3523, 119718, 34322, 1982, 142429, 5, 56170, 1285, 23173, 4113, 4113, 170479, 18225, 160751, 12483, 4, 1470, 75230, 101608, 2442, 6093, 14856, 10069, 10918, 1211, 199145, 7508, 6093, 7508, 218241, 205416, 56170, 25391, 54260, 47332, 4, 364, 54260, 36419, 6235, 4852, 64260, 65482, 7544, 66317, 4, 6235, 2865, 41595, 7265, 12023, 144295, 78651, 15, 609, 76179, 506, 194, 204403, 165354, 2648, 120467, 3056, 6, 47351, 132025, 13497, 37016, 43178, 25207, 30109, 48904, 15307, 54260, 2882, 199145, 9424, 54260, 1982, 35596, 7746, 1470, 75230, 2702, 7265, 6, 47351, 2808, 75230, 2702, 16629, 2882, 4, 119055, 13845, 104238, 6235, 506, 2882, 37729, 4838, 7508, 54260, 4113, 6, 192539, 109226, 4, 3120, 41764, 184855, 48253, 7682, 71804, 4667, 78278, 17160, 64260, 6093, 71804, 4667, 4, 6, 159696, 207650, 119055, 6093, 12483, 6, 141943, 32792, 56170, 119718, 183512, 13845, 2882, 2205, 4838, 1751, 39083, 4113, 115518, 5, 90848, 2050, 117902, 165354, 3131, 16932, 12483, 4, 163139, 2181, 119055, 77188, 364, 54260, 13497, 22444, 68697, 8903, 111684, 33716, 130170, 6, 87311, 35189, 23269, 58573, 142429, 12483, 4, 3056, 7508, 6093, 162926, 82576, 7265, 13845, 3069, 56170, 2865, 54260, 20315, 1211, 1285, 30109, 48904, 15307, 54260, 2882, 4, 92500, 2205, 2190, 127209, 16870, 32792, 5, 2442, 6093, 7544, 58679, 200117, 3120, 117902, 165354, 3056, 125523, 7508, 6093, 238144, 1644, 101251, 1982, 233364, 13497, 5, 14856, 110970, 12483, 3120, 21106, 4113, 895, 16932, 2702, 51678, 132025, 8903, 68566, 55823, 1211, 119055, 6093, 12483, 4, 364, 75230, 22426, 2882, 39293, 4944, 32792, 1285, 3120, 33718, 20260, 109316, 17800, 75230, 2882, 5, 1285, 132025, 15907, 37016, 17310, 42542, 6, 104378, 3120, 21776, 1982, 1470, 75230, 2702, 54260, 2882, 4, 2200, 3120, 7508, 6093, 1751, 39083, 4113, 18406, 4, 92500, 42542, 40653, 139449, 119055, 6093, 12483, 44064, 3120, 16175, 75230, 18415, 6, 75290, 149364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 5, 1470, 75230, 1982, 4838, 1751, 119718, 48904, 8903, 25207, 32054, 75230, 657, 54260, 2442, 29060, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 4, 3056, 874, 43178, 32792, 36324, 48494, 203232, 21374, 50856, 2205, 7038, 16932, 1644, 54260, 1982, 170479, 132025, 8903, 15907, 2882, 87442, 119055, 6093, 12483, 4151, 69355, 5, 21087, 2865, 22426, 97634, 51723, 5, 8947, 6428, 75230, 77188, 3120, 9424, 159696, 108968, 78278, 10184, 6093, 26394, 42023, 193012, 56170, 2442, 6093, 30109, 48904, 15307, 54260, 2882, 3069, 6, 35596, 119718, 710, 25616, 12483, 7746, 125523, 4151, 132025, 15907, 37016, 17310, 5, 6, 159696, 46244, 35596, 1285, 200795, 6, 136108, 54260, 6, 29766, 6093, 10184, 6093, 193012, 6, 111684, 33716, 7746, 6, 47351, 4838, 122868, 63593, 54260, 1211, 31249, 91595, 4113, 67826, 2865, 17310, 5, 7508, 6093, 113889, 4667, 6, 111684, 33716, 1751, 75230, 1211, 4151, 30109, 48904, 75290, 4838, 43649, 23173, 39340, 115222, 21295, 4, 7369, 657, 54260, 20315, 2882, 3120, 6319, 137377, 159696, 506, 97634, 2932, 4, 101251, 8903, 506, 54260, 123073, 119055, 20616, 97634, 8903, 1211, 2205, 22444, 165354, 4, 364, 35596, 2200, 6, 131445, 4, 564, 25207, 4944, 12483, 4, 10184, 75578, 4, 7201, 23173, 1644, 71616, 3120, 6, 71577, 29060, 15907, 4, 2200, 9424, 54260, 18415, 5666, 238144, 4852, 192183, 119718, 2808, 75230, 21087, 13159, 5, 2205, 10184, 109316, 10339, 21106, 12483, 6093, 3131, 54260, 13497, 6, 47351, 1470, 75230, 2702, 7511, 2882, 15, 10705, 2865, 137377, 506, 141847, 18640, 3120, 88771, 26, 12483, 1470, 75230, 2702, 16629, 2882, 199145, 107776, 6, 68558, 3131, 109636, 16932, 247, 199145, 55242, 506, 2882, 1470, 75230, 2702, 163139, 6, 87311, 59094, 12483, 84475, 120439, 23173, 1644, 40096, 71512, 5, 4151, 10184, 75578, 29659, 54260, 98833, 7265, 6, 75322, 39083, 364, 75230, 4667, 4, 2200, 10339, 186955, 12023, 35044, 34557, 238144, 4852, 120202, 78278, 10676, 10184, 6093, 96986, 166464, 4, 29771, 35189, 78278, 2181, 7369, 3131, 54260, 13497, 7508, 6093, 1470, 75230, 4944, 54260, 2882, 4, 119055, 12483, 1285, 32887, 2865, 149364, 40096, 14303, 119055, 77188, 163139, 35189, 24621, 46244, 159696, 7511, 61397, 133190, 2865, 21106, 5, 6, 144295, 168155, 41764, 89184, 142429, 3056, 55242, 46244, 4838, 163139, 40920, 161459, 4, 6, 238144, 1644, 21776, 24152, 48775, 20260, 6093, 3056, 32054, 54260, 3120, 119055, 20616, 97634, 8903, 1211, 4, 2200, 42542, 7746, 27702, 236376, 12483, 4838, 75386, 6235, 506, 54260, 21295, 92500, 36324, 75230, 4838, 68550, 132025, 105235, 165354, 221895, 7265, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 5, 7508, 54260, 168155, 6, 149364, 101328, 146831, 75230, 77188, 133190, 1470, 54260, 7511, 8903, 193012, 4, 78278, 4151, 1470, 75230, 2702, 16629, 2882, 119055, 77188, 56170, 119718, 183512, 13845, 2882, 2205, 43449, 48350, 71804, 4667, 5, 1285, 32887, 2865, 149364, 40096, 14303, 43649, 54260, 98833, 163139, 35189, 78278, 30994, 17824, 93704, 4, 2200, 7508, 6093, 112216, 10918, 35596, 68313, 163139, 35189, 1751, 57277, 24152, 6319, 48775, 20260, 5, 2808, 75230, 2702, 16629, 2882, 109226, 4, 2200, 132025, 105235, 39340, 152848, 30109, 48904, 15307, 54260, 96986, 10945, 363, 10069, 200795, 7369, 3131, 54260, 3111, 23405, 3120, 1470, 75230, 2702, 16629, 2882, 220224, 49008, 41764, 12415, 29659, 54260, 4484, 71804, 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 ]
[ 4, 364, 75230, 22426, 2882, 39293, 4944, 32792, 2808, 75230, 6293, 10676, 1751, 16932, 12483, 4, 364, 21106, 4852, 4, 2200, 364, 84577, 195054, 135118, 5, 15, 39293, 506, 2882, 6, 88660, 7972, 139365, 145161, 230764, 4852, 54260, 18415, 7245, 1388, 220224, 119055, 6093, 12483, 6, 203326, 17410, 4944, 238144, 4852, 132025, 8903, 46590, 2882, 7265, 147582, 2702, 18640, 4484, 54260, 2882, 2200, 119055, 6093, 12483, 7201, 23173, 119718, 183512, 13845, 2882, 2205, 43449, 48350, 71804, 4667, 5, 7265, 9424, 238144, 193012, 1751, 109636, 16932, 4, 84475, 21776, 2050, 4838, 40920, 12483, 97634, 2932, 3120, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 4, 119055, 6093, 12483, 1285, 43449, 48350, 71804, 4667, 1470, 54260, 16932, 158548, 5, 220224, 16175, 55049, 171428, 2808, 75230, 2702, 2205, 1470, 54260, 7511, 8903, 193012, 4, 2200, 8947, 119055, 6093, 12483, 6235, 95494, 55823, 1211, 1285, 1751, 39083, 4113, 4944, 26394, 1211, 5, 4151, 30109, 208048, 10339, 64260, 6093, 119055, 29771, 2050, 3056, 6319, 48775, 20260, 230764, 117902, 165354, 364, 186955, 220224, 1211, 192544, 29771, 42023, 69529, 6235, 7201, 26612, 46244, 4, 6, 238144, 1644, 18225, 37826, 2181, 6, 190135, 117902, 165354, 5, 75290, 6, 111684, 21295, 55242, 46244, 7369, 17645, 22426, 2882, 6, 159696, 46244, 35596, 4151, 30109, 48904, 15307, 54260, 2882, 5, 7508, 6093, 16175, 75230, 2882, 42542, 6, 104378, 3069, 148932, 9424, 54260, 2882, 4, 95298, 1285, 6235, 7201, 26612, 46244, 3056, 4838, 2050, 17824, 13159, 96986, 6, 159696, 46244, 35596, 10676, 43649, 54260, 8903, 1211, 3120, 4151, 32887, 2865, 149364, 40096, 14303, 4, 119055, 12483, 4151, 6, 172060, 75386, 3056, 9915, 13845, 2200, 1751, 119718, 26612, 4667, 5, 204403, 165354, 51678, 220224, 1211, 3120, 234917, 9934, 99766, 12483, 4, 199145, 220224, 49008, 42493, 76961, 3120, 4151, 39293, 1644, 75578, 7369, 16667, 158652, 54260, 2882, 5, 4151, 6235, 55823, 46244, 7972, 4944, 82576, 9934, 99766, 3056, 4151, 2205, 119055, 13845, 4944, 12483, 8947, 73906, 18415, 2882, 1285, 364, 75230, 2882, 4838, 68550, 2200, 2205, 1285, 43449, 48350, 71804, 4667, 5, 4151, 16175, 75230, 2882, 3056, 64699, 162926, 5, 12415, 178748, 149010, 224220, 22426, 7972, 138194, 109226, 3120, 117902, 165354, 4, 220224, 49008, 152, 9721, 171433, 88660, 96951, 87311, 142170, 4, 147519, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 35596, 10918, 16747, 17310, 3120, 115222, 506, 63849, 137377, 4, 119055, 59929, 6093, 46464, 40920, 3120, 620, 88917, 4, 2200, 364, 75230, 2882, 240863, 2442, 65482, 5, 10069, 43649, 23173, 90536, 4944, 4484, 54260, 2882, 3120, 117902, 165354, 9424, 119718, 40697, 1211, 1285, 199145, 151614, 1982, 12483, 7746, 42493, 6235, 212484, 12483, 105235, 1644, 12483, 117902, 165354, 4, 3056, 3120, 6, 105780, 6293, 2200, 9424, 119718, 26612, 109985, 78278, 6, 105780, 6293, 2200, 29434, 54260, 2702, 18640, 116486, 8300, 35596, 74, 8300, 119718, 40697, 1211, 34654, 199145, 151614, 1982, 12483, 7746, 6235, 212484, 12483, 43649, 109316, 1211, 117902, 165354, 3056, 1285, 43649, 23173, 90536, 4944, 4484, 54260, 2882, 39293, 46244, 101251, 1982, 93704, 54260, 18415, 50856, 5, 2808, 75230, 114349, 54260, 2442, 17310, 12, 117902, 165354, 105235, 1644, 12483, 3056, 1285, 162926, 80885, 27702, 3131, 31623, 17310, 115222, 8903, 1211, 204403, 165354, 25616, 48904, 15307, 54260 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 5, 895, 16932, 12483, 2200, 81444, 20911, 75230, 16847, 170479, 12483, 55242, 42023, 36324, 177274, 2702, 192544, 506, 64260, 6235, 4484, 90848, 8903, 1211, 6, 190135, 117902, 165354, 5, 15, 39293, 506, 2882, 6, 88660, 7972, 111996, 50853, 4, 220224, 18415, 11585, 16, 117902, 165354, 3131, 16932, 12483, 67882, 40920, 1470, 54260, 119132, 64699, 2205, 6, 119859, 57619, 12483, 2190, 24621, 147921, 16747, 32792, 3069, 117902, 165354, 5, 44064, 12415, 199145, 151614, 1982, 12483, 6235, 506, 40096, 34654, 30109, 48904, 15307, 54260, 2882, 220224, 49008, 42493, 36324, 75230, 72577, 6235, 30473, 104238, 2882, 115222, 8903, 1211, 26612, 9424, 238144, 96986, 132025, 68566, 6293, 163139, 1285, 199145, 151614, 1982, 12483, 7746, 6235, 212484, 12483, 43649, 109316, 1211, 117902, 165354, 5, 1470, 54260, 7511, 8903, 6, 23173, 26217, 96302, 9221, 12483, 36324, 117902, 165354, 105235, 1644, 12483, 42542, 1470, 54260, 119132, 132025, 105235, 165354, 7265, 56170, 3131, 54260, 2648, 65482, 30109, 48904, 15307, 54260, 96986, 4, 163139, 15857, 46590, 21292, 2200, 1751, 119718, 710, 16747, 46464, 40920, 5, 364, 54260, 13497, 4, 119055, 12483, 8947, 220224, 49008, 56170, 47351, 7508, 54260, 23269, 2200, 216333, 4113, 119055, 92605, 21087, 49008, 4, 3056, 95455, 6, 47351, 101251, 24621, 2932, 149010, 6, 170355, 4667, 4, 110856, 12666, 119055, 12483, 215031, 6, 170355, 4667, 37826, 6, 101328, 6235, 23269, 42023, 2205, 7508, 6093, 56170, 240863, 43178, 506, 54260, 2882, 4, 119055, 12483, 18225, 506, 64260, 6235, 13458, 75230, 40920, 14856, 110970, 149010, 119055, 92605, 21087, 49008, 84475, 60118, 54260, 23269, 17806, 506, 119718, 92605, 21087, 49008, 5, 6, 148222, 54260, 109985, 4113, 6235, 7201, 26612, 46244, 3056, 4838, 7544, 58679, 200117, 12483, 171433, 105235, 4484, 17310, 37729, 1285, 224252, 15529, 96302, 12483, 4, 1982, 48904, 48775, 4852, 49008, 84475, 364, 35596, 3120, 1285, 6, 174121, 16747, 35596, 2702, 5, 95298, 1285, 81444, 30473, 8903, 6235, 7201, 26612, 46244, 3056, 7201, 23173, 47351, 2205, 148932, 119055, 10705, 16747, 4, 2200, 42542, 1470, 75230, 2702, 8903, 2865, 54260, 2442, 29060, 119055, 6093, 12483, 22444, 81455, 10339, 39083, 8903, 1211, 1285, 123131, 905, 163354, 4944, 48904, 710, 57277, 25207, 21776, 21847, 12483, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 1285, 200795, 147582, 40920, 2205, 4151, 27702, 506, 183512, 1644, 17310, 3056, 137377, 46464, 83182, 12483, 21776, 2050, 30109, 48904, 165354, 5, 95455, 10213, 80885, 3056, 4838, 27702, 46464, 83182, 364, 75230, 4852, 4, 2200, 4838, 21422, 46685, 119718, 120467, 3056, 72577, 1470, 75230, 2702, 8903, 12666, 23741, 77188, 5, 1285, 3944, 40920, 6, 94741, 63020, 220224, 1211, 27702, 25391, 135118, 2882, 163139, 6, 238144, 2882, 190386, 18167, 5, 2181, 119055, 77188, 27702, 506, 75230, 22426, 18415, 2882, 36324, 7508, 75230, 18415, 3944, 40920, 37826, 4838, 4269, 171127, 93975, 163139, 24152, 17310, 2808, 75230, 6293, 4151, 30109, 48904, 15307, 54260, 2882, 5, 7508, 75230, 18415, 3944, 40920, 42542, 6235, 95494, 55823, 1211, 119055, 6093, 12483, 37729, 7508, 75230, 18415, 6, 57277, 109636, 96986, 4, 657, 29771, 2865, 22426, 16629, 25207, 36258, 4, 2200, 7508, 75230, 18415, 160238, 506, 26612, 183216, 5, 10069, 364, 75230, 107581, 32887, 2865, 149364, 40096, 14303, 42542, 564, 92605, 63593, 23741, 119055, 6093, 12483, 163139, 221895 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 148346, 88680, 2702, 37729, 30750, 35189, 4, 81414, 20260, 12483, 364, 54260, 36419, 119055, 59929, 6093, 2200, 37729, 364, 54260, 36419, 7508, 54260, 110317, 17310, 2702, 144581, 82576, 2702, 5, 1470, 75230, 1982, 24621, 42542, 42493, 160751, 12483, 4838, 119055, 48904, 4113, 4, 178748, 18225, 10676, 30109, 48904, 4113, 12483, 119055, 48904, 12483, 7265, 4838, 1751, 119718, 26612, 2050, 92500, 364, 54260, 4944, 12483, 119055, 59929, 6093, 5, 7508, 120467, 30109, 48904, 165354, 10918, 46685, 170479, 220224, 1211, 3120, 34076, 54260, 104238, 32887, 2865, 149364, 40096, 14303, 4, 72577, 1470, 75230, 2702, 8903, 12666, 23741, 77188, 4, 95298, 14856, 6, 94741, 63020, 4838, 40920, 17310, 160751, 12483, 36324, 7508, 6093, 30109, 48904, 75290, 4852, 39083, 7746, 42493, 3069, 16580, 54574, 12483, 5, 12415, 145813, 54260, 4852, 12, 1285, 145813, 54260, 4852, 170479, 220224, 1211, 147582, 2702, 18640, 2200, 6, 76776, 506, 17800, 26612, 23741, 18640, 4, 2200, 170479, 1982, 26612, 105235, 42023, 364, 75230, 22426, 2882, 39293, 4944, 32792, 3120, 7544, 66317, 4, 15857, 144295, 75386, 2200, 213909, 13159, 5, 119055, 59929, 6093, 4, 4838, 189623, 50273, 158894, 4, 657, 63593, 239162, 9221, 4, 17824, 29789, 22426, 2648, 4852, 29260, 2702, 4, 2200, 221895, 80839, 40920, 170355, 23741, 12483, 170479, 12483, 32054, 54260, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 5, 119055, 20616, 97634, 2932, 2205, 22444, 165354, 4, 364, 35596, 2200, 6, 131445, 4, 199145, 3056, 36324, 75230, 4838, 122868, 63593, 54260, 1211, 95766, 6, 64260, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 4, 42542, 874, 48904, 107581, 874, 39083, 6235, 9719, 50853, 77188, 119055, 6093, 12483, 37729, 67826, 28726, 152848, 14856, 10069, 10918, 49008, 15, 119718, 120467, 170479, 12483, 95298, 42493, 6, 139449, 119055, 6093, 12483, 123736, 42023, 21776, 2050, 81444, 20911, 29766, 26, 2702, 119718, 21292, 12483, 247, 84475, 37729, 364, 54260, 36419, 78104, 104238, 5, 21106, 8903, 2865, 54260, 23269, 3069, 29659, 183512, 12483, 170479, 12483, 17824, 157245, 32792, 6, 174121, 16747, 29060, 119055, 6093, 12483, 292, 32887, 2865, 149364, 40096, 14303, 4, 6, 172060, 75386, 4, 6, 64260, 506, 4113, 51723, 4, 2200, 4151, 17824, 23173, 3120, 7369, 36326, 22426, 17310, 5, 177274, 1470, 75230, 101608, 8903, 159696, 506, 5666, 149010, 6, 192539, 17310, 170479, 27702, 120749, 119055, 6093, 12483, 73784, 81444, 20911, 29766, 5, 2648, 120467, 165284, 22426, 1644, 12483, 3120, 6235, 30473, 40920, 152, 14856, 37826, 1751, 75230, 1211, 6235, 101296, 40920, 101251, 26394, 506, 186461, 73381, 23173, 46464, 4944, 12483, 3069, 56170, 2865, 54260, 20315, 1211, 95455, 165284, 22426, 1644, 12483, 3120, 6235, 30473, 40920, 4, 95298, 6, 21106, 7611, 123736, 42023, 7369, 7201, 39083, 2932, 5, 2808, 75230, 2702, 16629, 2882, 109226, 4, 2200, 132025, 105235, 39340, 152848, 30109, 48904, 15307, 54260, 96986, 85433, 2932, 171127, 93975, 21776, 124740, 57277, 96986, 220224, 49008, 6, 150839, 21106, 96986, 6235, 119718, 29766, 12483, 37729, 564, 183512, 165592, 153796, 12483, 95455, 8903, 30473, 40920, 2200, 364, 35596, 7265, 36225, 84475, 387, 11648, 3373, 39083, 29260, 68558, 3120, 9213, 40920, 710, 39083, 5, 4838, 9424, 238144, 16932, 7265, 13845, 3056, 43649, 186797, 564, 48904, 21660, 12483, 1285, 7369, 16932, 7265, 4838, 3373, 39083, 29260, 68558, 3120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 78683, 68697, 39083, 7682, 13159, 15435, 4, 84475, 4838, 1470, 54260, 7972, 8903, 3373, 39083, 29260, 68558, 3120, 6, 78683, 68697, 39083, 7682, 8947, 9221, 3120, 4838, 1470, 54260, 1211, 506, 88917, 77188, 13845, 6319, 48775, 23741, 5, 1285, 364, 75230, 22426, 2882, 170355, 4667, 3056, 36324, 1285, 1751, 39083, 4113, 4944, 7611, 170479, 76961, 2865, 39083, 220224, 1211, 72577, 564, 23173, 7201, 54260, 40920, 5, 1470, 75230, 1982, 14856, 6235, 13458, 75230, 40920, 6, 78683, 68697, 39083, 4, 170479, 1285, 179096, 1211, 130170, 46464, 40920, 119055, 6093, 12483, 9747, 13342, 56170, 30473, 104238, 12483, 7746, 36324, 4151, 6, 75290, 149364, 119055, 77188, 42493, 56170, 25222, 23741, 29060, 37729, 6, 23173, 54260, 54561, 75230, 8903, 1211, 95766, 7746, 10676, 6, 78683, 68697, 39083, 5, 35189, 30109, 48904, 75290, 170479, 43449, 54260, 1982, 12483, 2205, 6319, 119718, 23173, 84577, 8580, 4838, 68550, 6, 105780, 6293, 119055, 29771, 4944, 12483, 4, 84475, 1982, 15533, 95455, 1751, 54260, 1644, 12483, 37826, 1470, 75230, 111137, 506, 77188, 2200, 1285, 364, 75230, 2882, 3056, 7508, 54260, 1211, 2200, 34076, 40096, 5, 119718, 710, 16747, 204403, 165354, 119718, 710, 16747, 204403, 165354, 15, 178107, 165354, 112216, 13805, 16, 119055, 6093, 12483, 6, 75322, 39083, 27702, 236376, 4838, 75386, 6235, 159696, 506, 5666, 149010, 204403, 165354, 15, 114349, 39083, 22426, 92605, 2702, 247, 95298, 8947, 3056, 27702, 119718, 710, 104149, 6235, 119718, 29766, 12483, 36324, 95455, 220224, 49008, 9424, 238144, 7201, 23173, 3131, 54260, 2648, 65482, 30109, 48904, 15307, 54260, 96986, 5, 6319, 54260, 23269, 3120, 1285, 564, 54260, 20315, 30109, 48904, 15307, 54260, 96986, 56170, 30473, 104238, 2882, 7511, 2882, 115222, 8903, 1211, 132025, 68566, 6293, 3120, 4151, 221895, 2442, 5, 95455, 117902, 165354, 105235, 1644, 12483, 37826, 6319, 54260, 1211, 163139, 24152, 17310, 115222, 8903, 1211, 163139, 16747, 204403, 165354, 5, 10069, 30109, 48904, 15307, 54260, 2882, 9424, 54260, 4944, 35596, 7746, 1470, 75230, 2702, 37729, 6, 47351, 1470, 75230, 2702, 16629, 2882, 3120, 6, 80453, 54260, 2882, 54260, 4484, 71804, 4667, 4, 159696, 1644, 107581, 6, 35596, 119718, 7682, 1644, 12483, 7746, 2205, 43449, 48350, 71804, 4667, 5, 1285, 4838, 122868, 63593, 54260, 1211, 75290, 149364, 149010, 177157, 22426, 97634, 51723, 4852, 54260, 49008, 107189, 20315, 5, 163139, 16747, 204403, 165354, 51678, 40653, 139449, 119055, 6093, 12483, 124724, 87442, 3120, 21776, 24152, 48775, 20260, 6093, 6, 149364, 4852, 68558, 4, 84475, 101251, 79761, 87442, 37729, 4838, 29434, 710, 16932, 6, 149364, 4852, 68558, 4, 84475, 37729, 171433, 8903, 105235, 146873, 6, 23173, 46545, 1644, 12483, 5, 14856, 46244, 80885, 16667, 119055, 6093, 12483, 132025, 8903, 68566, 55823, 1211, 114955, 4, 95298, 2808, 75230, 4667, 7369, 119718, 92605, 2702, 65482, 14856, 110970, 12483, 220224, 49008, 42493, 32054, 54260, 3120, 4151, 14856, 97594, 4944, 4484, 54260, 2882, 132025, 8903, 105235, 20911, 13342, 119055, 6093, 12483, 5, 1470, 54260, 1211, 30109, 48904, 15307, 54260, 2882, 3056, 6235, 159696, 506, 5666, 32792, 4838, 4269, 23173, 84577, 17645, 51678, 4838, 9424, 238144, 16932, 171433, 105235, 4484, 17310, 5, 1285, 1470, 75230, 2702, 73375, 506, 17310, 2702, 8300, 54260, 2882, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 3056, 3120, 6, 26394 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42023, 78278, 39293, 4944, 26394, 42023, 193012, 5, 21087, 2865, 22426, 97634, 51723, 163139, 16747, 204403, 165354, 364, 75230, 1982, 12483, 7746, 6, 68558, 7265, 4838, 874, 145161, 12483, 10184, 75578, 132, 3559, 78278, 21027, 17824, 93704, 4, 10339, 5, 247, 3373, 172398, 26612, 10918, 68558, 3120, 115222, 21295, 4, 119055, 20616, 97634, 2932, 2205, 22444, 165354, 4, 364, 35596, 92500, 6, 131445, 4, 2200, 564, 25207, 4944, 12483, 5, 1751, 109636, 16932, 7265, 10184, 6093, 2200, 9424, 119718, 26612, 109985, 165284, 16747, 12483, 7369, 3131, 54260, 13497, 35189, 1470, 75230, 2702, 16629, 2882, 4, 3069, 6093, 29659, 230764, 10676, 6235, 30473, 40920, 2200, 6, 95494, 207650, 1211, 4, 2200, 4151, 113889, 4667, 55242, 46244, 6235, 10069, 40920, 230764, 10676, 22444, 165354, 2200, 9721, 71616, 5, 9424, 119718, 40697, 1211, 1470, 75230, 2702, 16629, 2882, 230764, 1470, 54260, 1211, 16175, 54260, 1644, 6, 75290, 149364, 1982, 15533, 10676, 1470, 75230, 2702, 16629, 2882, 230764, 4838, 9424, 238144, 96986, 16175, 54260, 1644, 4, 42542, 6428, 75230, 6093, 12483, 4838, 166464, 84475, 9424, 238144, 5, 132, 39293, 506, 2882, 6, 88660, 7972, 111996, 50853, 230764, 220224, 18415, 7245, 35189, 1470, 75230, 2702, 16629, 2882, 6235, 506, 2882, 37729, 29434, 54260, 27702, 29659, 710, 188201, 1751, 179857, 12483, 5, 3069, 6093, 29659, 55242, 506, 2882, 18225, 21733, 54260, 23269, 41764, 41595, 71804, 4667, 84475, 41764, 184855, 48253, 7682, 71804, 4667, 4, 199145, 55242, 42023, 1470, 75230, 2702, 163139, 4838, 6, 203326, 3120, 4838, 87311, 64310, 97634, 84475, 46654, 75230, 5, 27702, 50853, 7369, 3131, 54260, 49008, 19302, 54260, 23269, 43449, 48350, 71804, 4667, 230764, 1285, 7508, 75230, 18415, 46654, 37016, 12483, 4, 2200, 1285, 43449, 48350, 71804, 4667, 46711, 7682, 171428, 7265, 4151, 9424, 54260, 2882, 1470, 75230, 2702, 2200, 3120, 220224, 119055, 77188, 6235, 95494, 55823, 1211, 4838, 1751, 39083, 4113, 18406, 84475, 30109, 4113, 155, 1211, 5, 36324, 75230, 163139, 4151, 1470, 75230, 2702, 16629, 2882, 7369, 3131, 54260, 13497, 42493, 7265, 75322, 39083, 4, 133190, 3069, 6093, 29659, 230764, 1470, 54260, 1211, 6, 99766, 2200, 4151, 113889, 4667, 230764, 4838, 9424, 238144, 96986, 4, 42542, 18225, 39293, 42023, 76961, 29434, 54260, 160238, 51723, 84475, 1751, 179857, 12483, 3120, 1470, 75230, 2702, 16629, 2882, 4, 292, 7508, 75230, 18415, 46654, 37016, 12483, 4, 130929, 4852, 71804, 4667, 2200, 30109, 68438, 4, 3069, 4151, 207013, 2442, 9424, 54260, 2882, 5, 125523, 1470, 54260, 7511, 8903, 193012, 364, 75230, 47332, 34654, 30109, 68438, 68558, 6, 23173, 75230, 2702, 7201, 21106, 12483, 4, 2200, 6, 212484, 2882, 40653, 4838, 6, 29060, 119718, 120467, 7508, 75230, 96986, 9424, 54260, 4944, 12483, 4, 119055, 13845, 104238, 564, 92605, 177148, 7265, 4151, 9424, 54260, 2882, 21776, 2050, 6, 120749, 93975, 1211, 6319, 39083, 9221, 5, 55242, 1644, 96986, 112216, 2702, 54196, 8947, 36324, 1470, 54260, 59461, 4852, 39083, 74806, 34079, 109636, 21295, 119055, 6093, 12483, 125523, 163139, 16747, 204403, 165354, 5, 125523, 10676, 163139, 2181, 56170, 3131, 119718, 710, 16747, 29060, 363, 11835, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 35189, 1470, 75230, 2702, 16629, 2882, 4, 6, 150839, 39083, 2882, 7746, 7508, 6093, 30109, 48904, 75290, 9915 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 6, 238144, 1644, 224220, 22426, 7972, 138194, 109226, 186145, 55823, 1211, 55242, 46244, 55242, 1644, 96986, 4, 3496, 64260, 3131, 2181, 3056, 874, 43178, 32792, 36324, 2181, 170479, 7746, 6, 35596, 119718, 7682, 1644, 12483, 6, 23173, 75230, 4852, 4, 119055, 12483, 34654, 117902, 165354, 220224, 49008, 86510, 4113, 5, 2205, 874, 48904, 107581, 56170, 12483, 37826, 7746, 6, 35596, 119718, 125897, 21295, 47351, 6, 35596, 10918, 50856, 17310, 3120, 1285, 29434, 710, 104149, 15, 5666, 28726, 50856, 4944, 194, 10069, 30109, 48904, 15307, 54260, 2882, 3056, 132025, 710, 18415, 39340, 50856, 36324, 75230, 6, 71804, 23405, 163139, 34654, 30109, 68438, 84475, 43449, 48350, 71804, 4667, 506, 21106, 96986, 6, 68558, 4, 4838, 4838, 4667, 199145, 6428, 75230, 77188, 101251, 23269, 55823, 46244, 29434, 54260, 7916, 6093, 119055, 29771, 4944, 12483, 5, 6, 159696, 46244, 35596, 64260, 10676, 41764, 89184, 142429, 6, 21106, 4852, 29771, 170479, 7508, 6093, 30109, 48904, 75290, 220224, 1211, 120202, 23269, 46464, 50856, 77188, 5, 26612, 364, 26612, 97995, 1644, 17310, 5, 1470, 75230, 1982, 48494, 203232, 564, 54260, 2702, 12483, 21776, 24152, 116105, 29060, 1751, 57277, 24152, 4, 42542, 51723, 2181, 107189, 35189, 12483, 22444, 81455, 3373, 204403, 16747, 30473, 12483, 1285, 364, 75230, 2882, 7265, 4838, 3373, 39083, 75230, 68558, 3120, 564, 54260, 163132, 2702, 29771, 20315, 4, 1470, 54260, 1211, 6, 23093, 4113, 109316, 59919, 4113, 3069, 4838, 112216, 41595, 119055, 59929, 6093, 4, 6, 29766, 6093, 7265, 4838, 87, 5, 5, 3373, 39083, 15638, 68558, 3120, 6, 78683, 68697, 29766, 7682, 8947, 9221, 5, 1470, 75230, 1982, 14856, 163139, 1644, 178748, 18225, 119055, 48904, 12483, 7265, 6, 78683, 1982, 39083, 26612, 15533, 2648, 119718, 165592, 13845, 8580, 5, 119055, 12483, 2181, 6, 35596, 119718, 125897, 21295, 7746, 34654, 6, 101328, 28726, 12890, 84475, 30109, 68438, 4, 170479, 18225, 6235, 13458, 75230, 4944, 12483, 4838, 47567, 1982, 3120, 153, 9213, 40920, 710, 39083, 5, 2181, 3056, 55242, 46244, 163139, 47332, 18640, 36324, 1285, 364, 75230, 2882, 170479, 8903, 506, 21106, 96986, 119055, 6093, 12483, 7508, 54260, 1211, 37729, 364, 54260, 36419, 10213, 35189, 5, 95455, 3056, 6235, 225975, 2882, 6235, 119718, 29766, 12483, 6, 159696, 8903, 1211, 35189, 4838, 122868, 63593, 54260, 59461, 1470, 75230, 7201, 22426, 59929, 17310, 2200, 145813, 54260, 4852, 2205, 221895, 132025, 15907, 37016, 43178, 25207, 30109, 48904, 15307, 54260, 51723, 4, 42542, 18225, 132025, 159696, 16747, 12483, 1470, 75230, 4667, 2205, 1285, 4113, 104149, 10339, 21106, 5, 87311, 2865, 22426, 2702, 2648, 120467, 3056, 6, 47351, 5332, 22426, 710, 35189, 54260, 4113, 4892, 18415, 4484, 43178, 25207, 30109, 48904, 15307, 54260, 2882, 119055, 13845, 107581, 9424, 54260, 4944, 35596, 7746, 2808, 75230, 2702, 7265, 1470, 75230, 150020, 159696, 25207, 1211, 3120, 1285, 1470, 75230, 6093, 12483, 21087, 33104, 16870, 12415, 104149, 4, 2200, 221895, 60837, 33104, 16870, 12415, 104149, 5, 1285, 177157, 22426, 97634, 51723, 220224, 49008, 55242, 46244, 107189, 2442, 4, 2200, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 42493, 10339, 40096, 21106, 5, 114955, 130170, 1470, 54260, 1211, 6, 101328, 46244, 220224, 49008, 133190, 6, 159696, 110317, 37922, 105780, 2442, 32792, 4151, 13342, 5, 4838, 2050 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24621, 506, 32206, 96986, 220224, 49008, 3069, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 130170, 119718, 23173, 55823, 1211, 114955, 9424, 238144, 12483, 1470, 54260, 1211, 101328, 46244, 2200, 1285, 6, 101328, 46244, 12483, 3120, 23050, 710, 28726, 1982, 23822, 88680, 7508, 54260, 42410, 54260, 2882, 4, 95298, 2181, 6, 186145, 23741, 1470, 75230, 4667, 165592, 2181, 170479, 132025, 68566, 55823, 1211, 7369, 119718, 92605, 1982, 65482, 14856, 110970, 12483, 5, 35189, 41764, 89184, 142429, 220224, 2882, 7508, 6093, 132025, 15907, 37016, 17310, 78278, 8947, 6, 77188, 54260, 49008, 1285, 200795, 177157, 22426, 97634, 51723, 4, 3056, 3120, 6, 26394, 42023, 78278, 9424, 238144, 2200, 9424, 119718, 26612, 109985, 193012, 5, 1285, 132025, 15907, 37016, 17310, 3056, 133190, 79761, 87442, 2200, 6319, 54260, 5666, 2865, 39083, 42493, 37729, 4838, 29434, 710, 16932, 6, 149364, 4852, 68558, 5, 21087, 2865, 22426, 97634, 51723, 5, 34654, 200795, 177157, 22426, 97634, 51723, 199145, 10213, 27702, 46685, 20911, 220224, 49008, 657, 218241, 21106, 4113, 5, 2205, 874, 48904, 107581, 10339, 21106, 12483, 364, 75230, 47332, 7746, 1285, 30109, 48904, 15307, 54260, 2882, 6, 68558, 7265, 234917, 18415, 2932, 3120, 6319, 137377, 142196, 29025, 12483, 4, 56170, 1644, 71616, 3120, 6, 71577, 29060, 15907, 5, 564, 25207, 4944, 12483, 4, 119055, 20616, 97634, 2932, 2205, 22444, 165354, 4, 364, 35596, 2200, 6, 131445, 4, 115222, 21295, 4, 1751, 238144, 2702, 4, 2200, 65902, 183216, 2205, 1285, 1470, 75230, 6093, 12483, 5, 2205, 1285, 9719, 119425, 123073, 132025, 68566, 55823, 3056, 56170, 47351, 4838, 203326, 13845, 10184, 75578, 4, 805, 78278, 21027, 17824, 93704, 4, 10339, 5, 418, 95766, 1285, 7369, 16667, 16932, 4113, 10339, 21106, 12483, 3056, 4151, 10184, 75578, 3120, 30669, 78278, 30994, 17824, 93704, 5, 2648, 120467, 1470, 75230, 7916, 159696, 1644, 12483, 364, 75230, 47332, 7746, 6, 68558, 160238, 35596, 2200, 2190, 13497, 12483, 3120, 1470, 75230, 6093, 4, 2200, 8947, 3131, 80453, 54260, 2882, 7746, 6, 203326, 71804, 1982, 238144, 4852, 1470, 75230, 2702, 6, 23173, 75230, 6293, 13342, 2200, 7508, 7682, 159696, 33716, 2702, 5, 4151, 119055, 20616, 97634, 2932, 3131, 22426, 54196, 7746, 125523, 56170, 10676, 1470, 75230, 150020, 159696, 1644, 12483, 2819, 2200, 1285, 85596, 29025, 12483, 119055, 6093, 12483, 125523, 7369, 61397, 37729, 10676, 27702, 159696, 8903, 1211, 34654, 27702, 92341, 54260, 59461, 4, 37729, 6, 80453, 13159, 12483, 4, 2200, 37729, 8947, 54260, 3131, 97634, 55823, 1211, 2205, 874, 75230, 1644, 5, 8947, 3056, 9213, 1751, 159696, 2442, 9213, 85596, 29025, 32792, 3069, 6, 73381, 171428, 9721, 54260, 2882, 95455, 2865, 75230, 1644, 5, 2205, 14856, 46244, 80885, 10339, 21106, 12483, 3056, 1285, 3373, 12666, 23269, 121193, 71577, 2200, 95455, 874, 75230, 1644, 6, 119859, 129891, 6, 110129, 165354, 5, 2808, 54260, 7511, 8903, 3120, 1285, 145813, 54260, 104149, 199145, 119055, 6093, 12483, 6, 139449, 2205, 874, 75230, 1644, 56170, 95494, 55823, 1211, 4838, 11211, 56703, 203326, 13845, 101251, 1982, 92605, 159696, 94790, 4944, 4484, 54260, 2882, 3120, 7508, 6093, 1470, 75230, 22680, 4113, 2932, 17310, 3120, 4151, 3373, 12666, 23269, 5, 95455, 31249, 710, 183216, 3056, 85596, 29025, 32792, 5, 874, 48904, 107581, 874, 39083, 3056, 1285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30109, 48904, 15307, 54260, 2882, 55242, 46244, 4151, 17494, 153222, 16747, 4, 238144, 1644, 10184, 109316, 6, 59461, 159696, 1211, 2200, 6, 73906, 57277, 33716, 89184, 13159, 199145, 220224, 49008, 56170, 47351, 2205, 6, 17645, 119132, 16175, 54260, 17410, 75230, 2702, 16629, 2882, 109226, 4, 2200, 132025, 105235, 39340, 152848, 30109, 48904, 15307, 54260, 96986, 128919, 159696, 25207, 1211, 6235, 13982, 93449, 3120, 74806, 119718, 9221, 5, 123736, 23741, 2865, 39083, 163139, 2442, 20911, 1285, 30109, 48904, 15307, 54260, 2882, 230764, 564, 54260, 20315, 4852, 54260, 96986, 4, 95298, 6235, 159696, 506, 5666, 32792, 3056, 1470, 54260, 1211, 220224, 2882, 14856, 46244, 132025, 8903, 68566, 55823, 1211, 1470, 54260, 35189, 1285, 9424, 238144, 18415, 5, 8947, 119055, 6093, 12483, 42493, 6, 35596, 119718, 125897, 21295, 6319, 54260, 1211, 1470, 54260, 16932, 84475, 119055, 10705, 16747, 12483, 4, 3373, 54260, 20315, 1211, 3120, 4113, 22426, 13159, 4838, 6, 238144, 16932, 6093, 132025, 105235, 4484, 17310, 5, 95766, 114955, 3120, 40653, 9424, 159696, 108968, 84475, 37640, 193338, 42023, 6, 101328, 46244, 3056, 178748, 32792, 36324, 1285, 25616, 48904, 15307, 54260, 2882, 170479, 27702, 21847, 54260, 2882, 119055, 6093, 12483, 3120, 7369, 91275, 18415, 224220, 22426, 7972, 138194, 109226, 5, 36324, 13845, 107581, 3069, 29659, 183512, 12483, 163139, 6, 35596, 10918, 16747, 17310, 3120, 67882, 81455, 506, 54260, 18415, 1644, 15, 24621, 7511, 16747, 30473, 26612, 119221, 16, 6, 35596, 10918, 16747, 17310, 69355, 1470, 54260, 6093, 29659, 218241, 2819, 82977, 87311, 142170, 2819, 16175, 75230, 106504, 54260, 2882, 2819, 2200, 44064, 364, 23173, 8580, 25616, 48904, 15307, 54260, 2882, 4, 4852, 54260, 49008, 1470, 54260, 7511, 8903, 3120, 1285, 178748, 149010, 224220, 22426, 7972, 138194, 109226, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 1285, 30109, 48904, 15307, 54260, 2882, 37826, 9213, 46244, 6235, 119718, 21292, 12483, 4, 27702, 25391, 135118, 96986, 79982, 5, 34654, 27702, 506, 183512, 1644, 17310, 27702, 105235, 506, 2882, 3120, 364, 21106, 96986, 10676, 30109, 48904, 4113, 12483, 2205, 564, 29060, 95766, 4838, 21422, 46685, 3120, 34076, 54260, 1982, 195164, 161459, 32887, 2865, 149364, 40096, 14303, 4, 6, 159696, 46244, 35596, 4151, 46050, 2882, 152185, 29659, 905, 55823, 5, 1285, 145813, 54260, 4852, 170479, 220224, 1211, 4838, 147582, 21087, 8903, 4, 7265, 15857, 144295, 75386, 2200, 1470, 54260, 6093, 5, 2648, 120467, 874, 75230, 1644, 170479, 6235, 506, 21106, 96986, 119055, 6093, 12483, 7508, 54260, 1211, 22444, 81455, 4838, 50778, 30750, 22426, 2882, 54260, 4113, 119055, 26612, 710, 109226, 4, 132, 119718, 710, 6, 149364, 92605, 2702, 26612, 15435, 123736, 119718, 14779, 175323, 13982, 142429, 30473, 12483, 2205, 6, 26394, 42023, 16175, 54260, 1644, 12483, 119055, 23173, 6093, 194, 34654, 7508, 144295, 165354, 27702, 16629, 56169, 119055, 6093, 12483, 7265, 46654, 48904, 13845, 4, 84475, 4838, 1982, 4852, 29766, 1982, 35596, 15, 2808, 54260, 54561, 75230, 8903, 152848, 16, 119055, 174121, 5, 2442, 6093, 119055, 20616, 97634, 2932, 42542, 6235, 9719, 50853, 77188, 119055, 6093, 12483, 37729, 364, 54260, 36419, 174538, 12483, 5, 1470, 75230, 1982, 7508, 6093, 30109, 48904, 75290, 119055, 29060, 8947, 7369, 1644, 75230, 1982, 12483, 4, 3056, 4151, 1470, 54260, 4852, 1982, 54260, 18415, 1644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4838, 72577, 6093, 7265, 13845, 5, 119055, 12483, 1285, 18415, 2865, 149364, 40096, 14303, 3056, 364, 75230, 4667, 4, 170479, 18225, 3373, 204403, 16747, 30473, 12483, 7265, 364, 54260, 4944, 12483, 4, 17190, 1982, 149010, 1211, 4, 84475, 16580, 54574, 12483, 119055, 59929, 6093, 5, 35189, 30109, 48904, 75290, 170479, 6235, 506, 21106, 96986, 119055, 6093, 12483, 6, 136108, 54260, 119055, 29771, 4944, 12483, 130170, 6319, 119718, 20961, 84577, 8580, 5, 159696, 110317, 80885, 16667, 4838, 119055, 29771, 4667, 170479, 6, 23173, 88680, 125523, 10676, 163139, 2181, 56170, 8903, 506, 2882, 4231, 123073, 74806, 119718, 9221, 5, 95766, 10676, 9318, 96986, 6319, 71577, 15907, 13845, 3120, 6, 71512, 5594, 3056, 56170, 47351, 4838, 21776, 26394, 22426, 2882, 51678, 51963, 7916, 4852, 40697, 2200, 4269, 54260, 73215, 8903, 30109, 48904, 15307, 54260, 96986, 5, 1470, 75230, 1982, 5, 20033, 163139, 1644, 12483, 6235, 99611, 12483, 3120, 203013, 4, 92500, 37640, 88771, 26, 1211, 34076, 7682, 6, 4, 7038, 104149, 20033, 6, 80453, 129071, 710, 138194, 12483, 34654, 21776, 21847, 12483, 199145, 220224, 49008, 6428, 99766, 25207, 88660, 24621, 16747, 54196, 5, 6, 64260, 199145, 4269, 64260, 6, 225975, 2882, 6, 159696, 8903, 1211, 88771, 26, 6093, 21776, 7972, 46677, 37271, 68313, 8947, 42493, 3069, 3069, 2882, 54260, 1644, 12483, 7508, 54260, 1211, 9721, 75230, 2882, 3069, 34654, 364, 17310, 6093, 93975, 4, 92500, 36324, 18133, 170479, 16803, 1285, 123736, 25207, 24621, 364, 54260, 2865, 212484, 4113, 6, 199511, 2205, 6428, 54260, 1211, 364, 75230, 4852, 705, 159696, 1211, 18133, 55242, 506, 16803, 10676, 199145, 3056, 3523, 92605, 29060, 4, 170479, 126934, 1470, 30682, 19302, 54260, 20315, 1211, 4, 92500, 170479, 16803, 7746, 42493, 27702, 506, 21106, 96986, 3120, 6428, 54260, 1211, 1470, 54260, 8903, 1211, 46654, 54260, 2882, 15, 2648, 5, 506, 5, 7265, 24621, 7511, 194, 94741, 1211, 119055, 29060, 7508, 54260, 1211, 3944, 40920, 1470, 75230, 2702, 1982, 25207, 4944, 12483, 163139, 7508, 6093, 40026, 506, 87311, 95064, 1211, 4, 92500, 7508, 54260, 1211, 203013, 119055, 29060, 7746, 9915, 13845, 27702, 238144, 104149, 5, 155, 6, 40697, 5594, 9318, 152, 361, 4, 1031, 4484, 71577, 15907, 13845, 6478, 15231, 64991, 117687, 14088, 3056, 6, 47351, 132025, 15907, 37016, 43178, 25207, 30109, 48904, 506, 54260, 2882, 199145, 119055, 77188, 56170, 63864, 170355, 40920, 3120, 20315, 2050, 86510, 18340, 159377, 90848, 1982, 5, 63864, 1211, 26612, 1982, 12483, 1982, 3523, 123073, 16847, 84475, 56170, 2648, 54260, 2808, 17310, 2702, 3131, 16932, 109226, 199145, 56170, 94741, 207650, 1211, 34654, 56170, 2648, 54260, 10705, 5666, 66293, 905, 26612, 1982, 96986, 2819, 60118, 16011, 15231, 8903, 4, 84475, 56170, 2648, 29766, 1982, 65482, 145813, 54260, 4852, 4, 29771, 35189, 119055, 23173, 6093, 2819, 2190, 1982, 1982, 48904, 710, 57277, 25207, 101251, 8903, 1982, 17310, 2819, 1751, 119718, 26612, 107581, 163139, 2882, 21106, 131044, 4, 292, 6, 64260, 10069, 76961, 51678, 6, 23173, 75230, 7201, 199511, 1285, 30109, 48904, 15307, 54260, 2882, 5, 6, 136108, 5, 123736, 4852, 44478, 27702, 506, 75230, 22426, 18415, 2882, 6, 47351, 10069, 30109, 48904, 15307, 54260, 2882, 119055, 77188, 40653, 8903, 8903, 1982, 12483, 364, 75230, 22426, 2882, 39293, 4944, 32792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37729, 4151, 145813, 54260, 4852, 4, 1285, 6, 223390, 6093, 4, 2200, 10339, 54260, 49008, 5, 2181, 6, 186145, 23741, 14856, 46244, 80885, 16667, 2205, 99514, 16803, 4, 2200, 6, 68566, 23741, 6235, 159696, 506, 5666, 54260, 4667, 6, 68558, 9424, 238144, 12483, 7508, 6093, 7369, 16932, 3120, 37640, 193338, 42023, 78278, 29434, 54260, 2702, 18640, 6, 101328, 46244, 5, 2442, 6093, 86510, 24244, 134067, 90848, 1982, 119055, 77188, 6, 23173, 54260, 5666, 139449, 2205, 6, 75290, 149364, 37729, 4151, 145813, 54260, 4852, 29771, 35189, 119055, 34557, 6093, 119055, 29771, 2050, 2205, 132025, 8903, 105235, 20911, 6235, 119718, 29766, 12483, 3120, 10676, 120202, 7201, 21106, 3120, 4838, 30109, 48904, 4113, 12483, 4, 3120, 147582, 8903, 1211, 4, 1470, 5, 7508, 5, 4269, 5, 2702, 15907, 22426, 97634, 51723, 12, 4151, 132025, 506, 75230, 1982, 3056, 4231, 179857, 43178, 238144, 4852, 4, 27702, 21847, 54260, 2882, 3120, 4838, 73095, 91275, 26612, 10918, 68558, 3120, 6, 23173, 23269, 1982, 54260, 59461, 7544, 79950, 54260, 2882, 2200, 1751, 119718, 26612, 4944, 4484, 54260, 2882, 5, 7508, 6093, 6319, 137377, 6, 23093, 36609, 178748, 32792, 159696, 506, 4, 2200, 2181, 112707, 18415, 2882, 34654, 6, 113889, 4852, 5, 7508, 6093, 10184, 75578, 43649, 54260, 98833, 17288, 104238, 177274, 1211, 166464, 4, 78278, 46598, 17824, 54260, 40920, 3069, 30994, 2451, 2442, 6746, 17824, 20961, 34654, 200795, 119055, 29771, 4667, 4, 2200, 123736, 159696, 13497, 2702, 3056, 34654, 32887, 2865, 149364, 40096, 14303, 7265, 1470, 54260, 119132, 19532, 6093, 9424, 238144, 17824, 93704, 17288, 104238, 1470, 54260, 35189, 6, 87311, 95064, 16667, 5, 4151, 2808, 109636, 15231, 2882, 6681, 710, 119718, 157245, 29060, 4, 1285, 3069, 23405, 3056, 40653, 2442, 87442, 7265, 6, 47351, 364, 54260, 18415, 1644, 4, 2200, 1285, 8300, 54260, 506, 59461, 2200, 3944, 109636, 1211, 220224, 49008, 1470, 75230, 4667, 40653, 2648, 87442, 7265, 4838, 9721, 75230, 5666, 149010, 1211, 364, 54260, 18415, 1644, 5, 29771, 23741, 2865, 39083, 3056, 56170, 47351, 34654, 23173, 4113, 4113, 4, 95298, 6, 48904, 29659, 64260, 10676, 42542, 1470, 75230, 4667, 220224, 1211, 4838, 64044, 13497, 137377, 17310, 5, 4151, 120202, 7201, 21106, 3056, 3120, 120202, 13497, 75230, 2702, 141943, 12483, 6, 61397, 31212, 5, 4151, 564, 75230, 4667, 3056, 7201, 208048, 83182, 5666, 21660, 75230, 8903, 1211, 2200, 37922, 7916, 16747, 32792, 73784, 132025, 65606, 25207, 1211, 5, 73784, 77208, 3120, 7508, 6093, 184639, 29771, 35189, 73784, 132025, 7201, 48904, 2932, 3120, 4151, 9424, 238144, 16932, 119055, 29771, 4667, 7369, 3131, 54260, 49008, 6, 90848, 39293, 159696, 46654, 37016, 12483, 230764, 35189, 364, 75230, 2882, 4, 40653, 506, 75230, 22426, 2882, 230764, 54745, 1982, 564, 75230, 4667, 4, 2200, 178748, 32792, 230764, 7508, 6093, 9721, 71616, 2200, 55049, 12483, 5, 73784, 6, 141943, 3120, 4151, 9424, 238144, 16932, 119055, 29771, 4667, 4, 84475, 73784, 132025, 506, 75230, 1982, 3120, 4151, 29434, 710, 16932, 4, 364, 75230, 47332, 4151, 10184, 75578, 6, 68558, 10339, 21106, 12483, 1751, 179857, 43178, 238144, 4852, 4, 95298, 34654, 32887, 2865, 149364, 40096, 14303, 3056, 7511, 2882, 133190, 2865, 21106, 78278, 22753, 119055, 77188, 163139, 35189, 483, 189015, 4, 123736, 159696, 13497, 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 ]
[ 5, 59461, 159696, 39293, 177157, 22426, 97634, 51723, 152, 4151, 132025, 506, 75230, 1982, 42542, 7746, 1470, 75230, 2702, 8300, 54260, 166664, 1211, 7265, 192183, 119718, 10705, 162493, 46598, 4, 43649, 23173, 165354, 6319, 137377, 159696, 506, 97634, 2932, 2200, 54745, 1644, 9221, 49792, 15, 2442, 16870, 12483, 3120, 364, 54260, 194, 8903, 35189, 448, 2050, 52480, 22426, 97634, 51723, 152, 7508, 120467, 564, 25207, 4944, 12483, 2200, 1285, 1285, 23173, 4113, 4113, 55242, 42023, 1470, 75230, 2702, 163139, 4838, 7201, 23173, 25222, 23741, 17310, 3120, 145813, 54260, 4852, 4, 84475, 163139, 4838, 1751, 23173, 55823, 1285, 23173, 4113, 4113, 5, 26632, 506, 63593, 6, 17310, 2702, 21087, 2865, 22426, 97634, 51723, 152, 178748, 149010, 2442, 6, 73906, 96986, 3120, 6, 113889, 4852, 5, 4151, 364, 71616, 12483, 506, 13845, 23741, 160751, 12483, 21776, 2050, 1470, 75230, 2702, 39293, 42023, 3120, 9721, 171433, 15949, 92178, 4, 84475, 44064, 3120, 82977, 87311, 142170, 5, 10069, 46050, 2882, 40697, 177157, 22426, 97634, 51723, 152, 6, 105235, 50856, 161459, 364, 75230, 104238, 10184, 75578, 4, 54745, 1644, 9221, 49792, 4, 101251, 8903, 506, 54260, 123073, 10339, 208048, 83182, 32670, 17310, 3120, 10676, 564, 75230, 4667, 4, 2200, 4838, 6, 73906, 96986, 3120, 1285, 6235, 35189, 448, 5, 21087, 2865, 22426, 97634, 51723, 3120, 6, 73906, 96986, 152, 4838, 162726, 21660, 149010, 2442, 10339, 21106, 12483, 3120, 4151, 32887, 2865, 149364, 40096, 14303, 74, 3131, 23269, 44478, 2200, 1751, 119718, 26612, 104238, 6, 172060, 75386, 4, 6, 113889, 4944, 8903, 7201, 39083, 98833, 3120, 4838, 33718, 20260, 109316, 1211, 120202, 7201, 21106, 3120, 6, 196332, 25207, 16847, 5, 1065, 134808, 268, 15231, 64991, 141520, 21087, 2865, 22426, 97634, 51723, 3120, 4838, 190800, 192956, 2442, 17310, 3120, 4151, 21374, 126968, 152, 41764, 710, 21660, 149010, 2442, 564, 75230, 4667, 159696, 506, 97634, 2932, 4, 6235, 159696, 506, 5666, 32792, 230764, 4151, 198754, 6093, 220224, 2882, 2819, 9915, 13845, 6093, 10339, 21106, 12483, 3120, 4151, 32887, 2865, 149364, 40096, 14303, 2819, 4838, 203326, 13845, 1751, 109636, 16932, 4, 4838, 122868, 63593, 54260, 59461, 564, 75230, 4667, 159696, 506, 97634, 2932, 4, 2200, 9915, 13845, 6093, 4, 3131, 119718, 26612, 104238, 6, 172060, 75386, 4, 7265, 177157, 22426, 97634, 51723, 3120, 564, 75230, 4667, 506, 54260, 18415, 1644, 6, 35596, 10918, 50856, 17310, 15, 149364, 15907, 232187, 710, 92178, 194, 150349, 21660, 710, 109316, 132025, 46685, 4484, 109226, 152, 6, 159696, 46244, 35596, 34654, 200795, 193012, 3120, 7508, 6093, 30109, 48904, 15307, 54260, 2050, 3056, 95455, 6235, 30473, 40920, 7508, 75230, 2882, 32792, 2200, 1285, 1470, 75230, 8903, 1211, 220224, 49008, 45223, 4, 95298, 34654, 9424, 238144, 18415, 119718, 29771, 4667, 119055, 77188, 4151, 1470, 75230, 92904, 43082, 874, 40096, 2200, 34076, 54260, 4944, 154739, 15231, 2932, 5, 10069, 364, 75230, 2882, 3056, 14856, 46244, 80885, 16667, 6, 110129, 165354, 4, 55242, 1644, 96986, 119055, 12483, 4151, 30109, 48904, 75290, 170479, 1751, 119718, 31623, 12483, 4, 3373, 54260, 20315, 1211, 3120, 1751, 119718, 26612, 4944, 4484, 54260, 2882, 2205, 1285, 141879, 1751, 179857, 12483, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 4, 84475, 159696, 46244, 35596, 4151, 6, 150839 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39083, 17310, 5, 6, 90848, 39293, 159696, 46654, 37016, 12483, 7369, 3131, 54260, 49008, 3120, 10676, 22753, 30750, 96986, 78278, 20315, 2050, 9424, 20616, 13497, 12483, 166464, 4, 3069, 6093, 29659, 230764, 10676, 564, 75230, 4667, 4, 2200, 4151, 113889, 4667, 230764, 1285, 221895, 2882, 54260, 1644, 12483, 3120, 6, 75290, 149364, 5, 1285, 46654, 37016, 12483, 27702, 238144, 104149, 7746, 6, 139485, 22426, 13159, 238144, 4852, 4, 2200, 177274, 6, 139485, 109636, 2648, 75230, 77188, 4838, 9424, 238144, 13982, 54260, 193012, 5, 2205, 874, 48904, 107581, 10339, 21106, 12483, 3056, 56170, 47351, 6, 47351, 1470, 75230, 101608, 8903, 159696, 506, 5666, 149010, 2442, 6, 61397, 31212, 3120, 4151, 364, 75230, 2882, 5, 37271, 23173, 73136, 8903, 506, 192539, 86510, 24244, 155, 152, 95455, 3056, 4838, 107189, 20315, 160238, 2050, 3120, 86510, 24244, 5, 4151, 25616, 48904, 75290, 54745, 185226, 6, 47351, 7369, 3056, 42493, 6235, 3111, 2932, 6319, 48775, 20260, 3069, 43449, 54260, 1982, 12483, 3069, 564, 29060, 4, 84475, 3069, 39293, 42023, 4838, 81444, 20911, 29766, 5, 36324, 13845, 107581, 30109, 48904, 39340, 220224, 49008, 2205, 43649, 186797, 6093, 6235, 7201, 26612, 46244, 3120, 4838, 6235, 35189, 448, 73906, 2882, 17310, 4, 4151, 69355, 199145, 220224, 6, 212484, 12483, 7746, 42493, 27702, 506, 183512, 1644, 12483, 4, 2200, 3120, 60118, 22426, 59929, 161459, 145813, 54260, 4852, 5, 6, 238144, 16932, 42542, 1470, 54260, 59461, 151614, 1982, 12483, 86510, 24244, 123736, 42023, 4838, 364, 75230, 104238, 32887, 2865, 149364, 40096, 14303, 4, 2200, 22753, 119055, 77188, 163139, 35189, 133190, 2865, 21106, 73784, 77208, 3120, 4151, 9424, 238144, 16932, 119055, 29771, 4667, 5, 95298, 13159, 6, 186145, 23741, 123736, 23741, 36324, 125523, 4151, 6, 150839, 39083, 17310, 170479, 34654, 30109, 48904, 15307, 54260, 2882, 7746, 163139, 25207, 17800, 39083, 12483, 5, 21106, 8903, 2865, 54260, 23269, 1470, 75230, 7201, 22426, 59929, 17310, 35189, 30109, 48904, 75290, 170479, 6235, 25207, 98833, 119055, 6093, 12483, 3069, 564, 29060, 2205, 4838, 3944, 40920, 93975, 1211, 4, 72577, 1470, 75230, 2702, 195054, 25046, 16932, 96986, 21422, 46685, 5, 15, 39293, 506, 2882, 6319, 71577, 5, 2861, 16, 76961, 6319, 23173, 109636, 125830, 4, 6, 78683, 119718, 710, 29766, 12483, 4, 160238, 506, 26612, 183216, 4, 2200, 177274, 2190, 127209, 75230, 15231, 8903, 14856, 69801, 170479, 6, 23173, 75230, 2702, 8903, 226112, 8903, 1211, 119055, 6093, 12483, 3120, 21422, 46685, 5, 10069, 32887, 2865, 149364, 40096, 14303, 3120, 21422, 46685, 170479, 220224, 1211, 3120, 5684, 78278, 6, 29259, 966, 17824, 23173, 5, 4151, 30109, 48904, 75290, 170479, 6235, 13458, 75230, 4944, 12483, 10676, 564, 29060, 2882, 137377, 3120, 132025, 7201, 48904, 2932, 78278, 26, 1211, 77208, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 5, 2648, 120467, 119055, 79238, 2200, 6235, 7201, 13159, 170479, 18225, 10339, 39083, 88660, 51723, 54745, 4852, 24295, 7916, 138194, 12483, 5, 1285, 3523, 75230, 32206, 6, 205416, 4852, 18167, 42493, 56170, 23269, 506, 51723, 7265, 10676, 3069, 23847, 54260, 96986, 1285, 145813, 54260, 4852, 5, 7508, 6093, 120202, 7201, 21106, 3120, 30109, 48904, 165354, 170479, 54745, 4852, 24295, 7201, 21660, 54196, 2200, 564, 165592, 54260, 2882, 176727, 119055, 6093, 12483, 5, 10069, 145813 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 4852, 12, 4151, 30109, 48904, 75290, 170479, 81414, 20260, 12483, 10184, 13845, 119055, 59929, 6093, 5, 1285, 145813, 54260, 4852, 4852, 39083, 6, 35596, 159696, 35189, 220224, 1211, 4838, 147582, 21087, 8903, 4, 84475, 364, 21106, 1982, 2702, 39083, 88945, 4, 163139, 6, 78683, 710, 46598, 4, 6, 159696, 8903, 57277, 28726, 46464, 109636, 1211, 4, 9934, 75230, 6093, 9719, 66317, 2200, 7544, 66317, 5, 1470, 54260, 6093, 178748, 18225, 6235, 13458, 75230, 1982, 12483, 4, 95298, 1751, 204403, 25207, 119718, 215206, 5, 4852, 75230, 6093, 9719, 66317, 3056, 6, 47351, 1470, 75230, 2702, 2932, 21660, 54260, 107581, 194734, 145813, 54260, 4852, 56170, 10184, 75578, 25616, 48904, 39340, 5, 80839, 40920, 170355, 23741, 12483, 4, 6, 159696, 110317, 84475, 220273, 7511, 2882, 6235, 30473, 80885, 4, 178748, 12483, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 2205, 99509, 6093, 874, 120467, 5, 1285, 145813, 54260, 4852, 170479, 6235, 8903, 30750, 119055, 6093, 12483, 2205, 27702, 29659, 710, 188201, 165284, 16747, 12483, 4, 292, 177274, 13982, 54260, 7916, 6093, 165284, 16747, 12483, 4, 119055, 16870, 186461, 4151, 874, 120467, 199145, 119055, 77188, 6235, 13458, 75230, 40920, 564, 54260, 177274, 1211, 874, 39083, 8300, 54260, 2882, 5, 8947, 3056, 42493, 3523, 75230, 15231, 2932, 1470, 75230, 7201, 13342, 2808, 159696, 165354, 10676, 30109, 48904, 4113, 12483, 2190, 1982, 1470, 30682, 3069, 160751, 12483, 13159, 12483, 5, 8947, 3056, 95298, 163139, 40920, 18640, 36324, 4151, 86510, 905, 150349, 215726, 13497, 170479, 7369, 11556, 2882, 176727, 119055, 6093, 12483, 13342, 8947, 12483, 4, 6, 238144, 1644, 4151, 10184, 75578, 6428, 75230, 77188, 4838, 657, 48904, 8903, 9424, 54260, 2882, 5, 15, 39293, 506, 2882, 6319, 71577, 15907, 13845, 2861, 16, 94375, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 1982, 26612, 506, 183512, 1644, 17310, 26612, 65902, 4944, 16932, 170479, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 193012, 32792, 5, 1470, 75230, 1982, 1285, 21776, 124740, 57277, 96986, 220224, 49008, 7511, 2882, 163139, 6235, 119718, 2808, 9416, 12483, 4, 170479, 18225, 160751, 12483, 4838, 6, 90848, 39293, 6319, 119273, 29766, 1470, 75230, 1644, 5, 27855, 185226, 3373, 109636, 42180, 28726, 1470, 75230, 7201, 46685, 4484, 235210, 4484, 54260, 2882, 3069, 1285, 9424, 54260, 506, 59461, 2205, 874, 75230, 1644, 4, 2200, 7508, 54260, 110317, 2882, 220224, 193012, 32792, 7265, 47351, 6, 21106, 78683, 71804, 8580, 3373, 29771, 9183, 113889, 1211, 2200, 1751, 159696, 185226, 72577, 1470, 75230, 2702, 48494, 203232, 874, 75230, 1644, 125523, 6, 63188, 12483, 874, 39083, 8300, 54260, 2882, 5, 7201, 23173, 10676, 10184, 75578, 170479, 12483, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 6319, 21106, 18415, 3373, 204403, 50856, 30473, 30750, 35189, 5, 163139, 238144, 2882, 178748, 32792, 170479, 7508, 32887, 2865, 149364, 40096, 14303, 3120, 30109, 48904, 4113, 12483, 6235, 506, 21106, 96986, 119055, 6093, 12483, 130170, 49150, 84475, 209, 48413, 17824, 23173, 5, 1470, 75230, 1982, 7508, 6093, 30109, 48904, 75290, 6, 111684, 33716, 6319, 186955, 3120, 21776, 2050, 6319, 21106, 96986, 2702, 204403, 50856, 30473, 12483, 4, 170479, 18225, 160751, 12483, 1470, 17190, 1982, 149010, 1211, 6, 29766, 6093, 44064, 4838, 364, 54260, 2702, 12483, 3373, 204403, 16747, 30473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 39248, 710, 3069, 6681, 25616, 54260, 59461, 12483, 21776, 2050, 10184, 75578, 5, 6, 238144, 16932, 4113, 174538, 12483, 3069, 56170, 21733, 54260, 59461, 12483, 21776, 2050, 7916, 75578, 220224, 49008, 12, 4838, 44917, 30750, 1470, 75230, 1982, 159696, 22426, 17310, 2808, 54260, 5666, 22426, 92605, 17310, 15, 4113, 159696, 22426, 29766, 54260, 140980, 7213, 29060, 109636, 4484, 16, 2808, 54260, 50856, 54260, 1982, 17310, 7265, 4838, 10339, 54260, 40920, 12483, 364, 84577, 4113, 4667, 4, 2200, 21374, 506, 17645, 65902, 4944, 16932, 2050, 5, 4838, 6319, 21106, 16932, 88660, 2865, 80453, 13159, 73784, 564, 75230, 4667, 4, 6235, 94114, 12483, 177274, 37640, 193338, 42023, 238419, 4, 119055, 29060, 45223, 55823, 1211, 192183, 226112, 1644, 9221, 12483, 1285, 32887, 2865, 149364, 40096, 14303, 2200, 119055, 29060, 10184, 13845, 45223, 55823, 1211, 7508, 6093, 564, 92605, 159696, 94790, 4944, 4484, 54260, 2882, 3120, 10676, 4484, 48775, 23269, 12483, 5, 48494, 203232, 207013, 42542, 6235, 225975, 2882, 119055, 6093, 12483, 6, 159696, 8903, 1211, 6319, 23173, 18415, 224220, 80453, 13159, 12483, 73784, 4484, 137377, 5, 9424, 238144, 874, 39083, 193012, 32792, 170479, 18225, 160751, 12483, 9424, 238144, 6, 29766, 6093, 29434, 54260, 364, 54260, 36419, 78104, 104238, 73784, 1982, 75230, 4667, 84475, 22444, 165354, 4, 2200, 4151, 113889, 4667, 564, 204403, 50856, 30473, 12483, 7265, 6, 170355, 12415, 84475, 220224, 6293, 5, 7508, 6093, 22444, 165354, 170479, 123736, 23741, 160751, 29766, 12483, 119055, 6093, 12483, 7265, 6, 21106, 88660, 506, 39083, 4, 3069, 56170, 2865, 54260, 20315, 1211, 564, 29060, 119718, 10705, 16747, 12483, 5, 4484, 54260, 1211, 3373, 29766, 710, 25207, 3523, 22426, 54260, 4852, 170479, 42493, 6235, 23269, 1982, 12483, 119055, 6093, 12483, 78278, 1285, 123736, 159696, 13497, 18415, 2865, 149364, 40096, 14303, 3056, 51328, 122165, 6, 159696, 46244, 35596, 6, 26394, 42023, 193012, 5, 56170, 54745, 1644, 9221, 49792, 170479, 18225, 132025, 159696, 16747, 12483, 26612, 6319, 21106, 96986, 224220, 80453, 13159, 73784, 6319, 137377, 4, 2200, 14856, 170479, 21776, 2050, 30109, 48904, 4113, 12483, 42493, 40653, 212484, 12483, 21106, 54260, 1211, 130170, 36324, 13845, 107581, 2190, 9719, 29259, 18415, 16747, 12483, 5, 1470, 75230, 1982, 2181, 564, 137119, 29060, 4838, 21374, 126968, 4, 170479, 18225, 7511, 2882, 160751, 12483, 6319, 54260, 1211, 145813, 54260, 4852, 6, 159696, 46244, 35596, 4838, 40920, 84475, 6, 26394, 42023, 165284, 16747, 12483, 5, 17190, 98833, 3069, 6, 47351, 2808, 54260, 1211, 1982, 54260, 18415, 1644, 73784, 564, 75230, 4667, 4, 2200, 42493, 21776, 2050, 70695, 20260, 12483, 10339, 39083, 710, 18415, 50856, 93975, 22444, 506, 5, 95766, 56170, 3120, 4838, 6, 70380, 130929, 75578, 17310, 10339, 142429, 77188, 7746, 6, 123131, 103182, 40697, 27702, 506, 183512, 1644, 17310, 5, 150839, 39083, 17310, 12, 6, 159696, 46244, 35596, 4151, 6, 150839, 39083, 17310, 170479, 18225, 21776, 1982, 30109, 48904, 165354, 160751, 12483, 16175, 171433, 71512, 9356, 506, 93047, 1644, 17310, 15, 39293, 506, 2882, 6319, 71577, 5, 4958, 4, 2200, 6, 76776, 506, 17800, 26612, 160687, 8903, 145813, 54260, 4852, 199145, 68313, 7508, 54260, 4667, 2205, 1470, 54260, 104149, 5, 2808, 54260, 35189, 21776, 2050, 30109, 48904, 4113, 12483, 119055, 77188, 7369, 1644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 47332, 7746, 3069, 74004, 96302, 25207, 55823, 1211, 874, 54260, 2882, 220224, 1211, 10339, 26612, 123559, 4113, 4, 170479, 7369, 23050, 46244, 12483, 6, 47351, 4838, 50778, 30750, 22426, 2882, 54260, 4113, 564, 29766, 2819, 220224, 1211, 179096, 1211, 2200, 7508, 6093, 120202, 7201, 21106, 4852, 39083, 234917, 874, 39083, 130170, 46464, 47332, 119055, 6093, 12483, 4, 40611, 1470, 75230, 2702, 13342, 8903, 7916, 49008, 21422, 2181, 64769, 23093, 186955, 15231, 64991, 134067, 90848, 1982, 12483, 119055, 29766, 51678, 132025, 105235, 165354, 221895, 7265, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 5, 4484, 71577, 15907, 13845, 4828, 10069, 7508, 75230, 4852, 2200, 119055, 10705, 16747, 48904, 105235, 4484, 17310, 26612, 7508, 75230, 4852, 15, 89184, 21087, 109636, 1644, 59929, 16, 26612, 7508, 75230, 4852, 3056, 6, 47351, 132025, 105235, 4484, 43178, 25207, 30109, 48904, 15307, 54260, 2882, 199145, 9424, 54260, 4944, 172398, 7746, 1470, 75230, 2702, 7265, 6, 35596, 10918, 16747, 17310, 3120, 4151, 364, 75230, 2882, 4, 2200, 130170, 506, 75230, 2882, 8903, 159696, 1982, 12483, 4, 364, 75230, 22426, 2882, 39293, 4944, 32792, 3120, 6235, 30473, 40920, 92500, 364, 21106, 4852, 5, 1285, 6, 35596, 10918, 50856, 17310, 37826, 1285, 1470, 54260, 8903, 7511, 145702, 3069, 56170, 3131, 80453, 54260, 96986, 7746, 4, 2200, 159696, 33716, 27702, 21847, 54260, 2882, 14856, 46244, 159696, 7511, 61397, 3120, 10184, 75578, 5, 1470, 54260, 16932, 17310, 107776, 55242, 1644, 96986, 160238, 5, 63864, 170355, 4944, 12483, 12, 1285, 7508, 75230, 4852, 119055, 77188, 56170, 63864, 170355, 40920, 3120, 4838, 7544, 58679, 200117, 199145, 13982, 23174, 2882, 6, 23173, 54260, 1211, 37729, 4838, 119055, 10705, 16747, 4, 84475, 4838, 6319, 48775, 8580, 4, 2200, 29434, 23174, 2882, 19532, 54260, 1211, 2205, 1285, 564, 137119, 119718, 59929, 6093, 213909, 21106, 12483, 3120, 4151, 364, 75230, 2882, 4, 84475, 2205, 34654, 130170, 506, 75230, 2882, 8903, 159696, 1982, 12483, 5, 121193, 71577, 4113, 163139, 2882, 21106, 131044, 67882, 40920, 1470, 54260, 119132, 37922, 7916, 16747, 32792, 3069, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 5, 2190, 36258, 48904, 710, 57277, 25207, 101251, 8903, 1982, 17310, 3056, 6, 75322, 39083, 1470, 75230, 4667, 6681, 84577, 119718, 99766, 32792, 5, 6, 75322, 39083, 23050, 506, 33716, 7746, 2181, 69355, 6, 47351, 132025, 15907, 37016, 17310, 2205, 1285, 6, 113889, 4852, 4484, 208048, 1644, 12483, 5, 21087, 2865, 22426, 97634, 51723, 12, 4151, 132025, 68566, 6293, 107776, 7265, 6, 75322, 39083, 4, 7265, 115222, 21295, 4, 2200, 3131, 151227, 12483, 43649, 54260, 8903, 1211, 3120, 4151, 32887, 2865, 149364, 40096, 14303, 78278, 30994, 84475, 21213, 17824, 93704, 4, 10339, 5, 6, 5, 6, 238144, 16932, 4113, 177157, 22426, 97634, 51723, 220224, 49008, 4, 178748, 32792, 4, 6319, 137377, 142196, 29025, 12483, 4, 1054, 20616, 97634, 2932, 2205, 1285, 364, 35596, 4, 131445, 2200, 22444, 165354, 4, 9213, 69801, 4484, 54260, 2882, 4, 564, 25207, 4944, 12483, 2200, 192183, 119718, 10705, 162493, 13159, 2205, 114955, 5, 54745, 1644, 9221, 49792, 2200, 67882, 142170, 15, 2808, 54260, 91275, 145161, 17310, 16, 51678, 7746, 874, 43178, 32792, 6, 35596, 119718, 7682, 1644, 12483, 6, 159696, 46244, 35596, 35189, 17288, 4944, 82576 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 165284, 55823, 3120, 7508, 6093, 70695, 20260, 506, 54260, 2882, 4, 6, 29766, 6093, 119055, 12483, 4151, 10184, 75578, 56170, 8903, 506, 2882, 5, 2205, 107189, 2442, 123073, 10339, 21106, 12483, 220224, 49008, 43449, 75230, 4852, 56170, 17537, 23784, 13845, 364, 54260, 1211, 4, 9915, 13845, 6093, 6, 172060, 75386, 4, 92500, 6319, 137377, 142196, 29025, 12483, 5, 4151, 1470, 75230, 2702, 16629, 2882, 7369, 54260, 41595, 4838, 75386, 364, 109316, 7508, 75230, 158652, 54260, 2882, 4, 364, 54260, 2702, 2200, 63593, 7916, 16747, 32792, 5, 15, 39293, 506, 2882, 6, 88660, 7972, 111996, 50853, 4, 220224, 18415, 7085, 8947, 3056, 74806, 119718, 39083, 12483, 4, 45521, 16803, 4, 2190, 69355, 4838, 27702, 29659, 52480, 96986, 192183, 29631, 5, 123736, 23741, 2865, 39083, 6, 35596, 119718, 7682, 1644, 12483, 7746, 43449, 48350, 71804, 4667, 5, 7508, 6093, 30109, 48904, 75290, 564, 92605, 203749, 2882, 7746, 230764, 16175, 46685, 26394, 1211, 2200, 564, 54260, 2702, 161829, 2205, 1285, 132025, 8903, 68566, 7201, 65482, 16175, 54260, 1644, 12483, 5, 2648, 120467, 1470, 75230, 23741, 159696, 1644, 12483, 42542, 6, 109995, 36324, 75230, 7369, 16667, 2882, 4, 36324, 34654, 1470, 75230, 8903, 1211, 170479, 12483, 6235, 57619, 32792, 56170, 101296, 40920, 119055, 6093, 12483, 4, 2200, 1285, 6235, 30473, 40920, 10918, 8903, 3069, 84316, 109636, 21295, 5, 34654, 364, 21106, 4852, 13982, 710, 104149, 119055, 6093, 12483, 7201, 23173, 23847, 13159, 77188, 5, 7508, 6093, 1470, 75230, 2702, 16629, 2882, 3069, 3131, 80453, 54260, 2882, 7746, 9915, 13845, 4, 4838, 22639, 48253, 177274, 744, 165284, 16747, 12483, 5, 125523, 6, 105780, 6293, 84475, 22753, 4113, 1982, 12483, 193012, 364, 75230, 47332, 8947, 47833, 3069, 56170, 3131, 119718, 710, 16747, 12483, 4, 2200, 3069, 4151, 39293, 1644, 75578, 9424, 54260, 2882, 364, 75230, 47332, 47833, 3069, 10339, 21106, 12483, 4151, 10184, 75578, 5, 1285, 364, 75230, 2882, 10339, 48904, 98833, 7746, 6, 68558, 3069, 3131, 54260, 1644, 12483, 5, 1285, 132025, 105235, 4484, 17310, 3056, 364, 75230, 22426, 2882, 39293, 4944, 32792, 230764, 10676, 6235, 30473, 40920, 4, 2200, 6319, 137377, 4, 123736, 23741, 2865, 39083, 3069, 6093, 29659, 230764, 4151, 6, 113889, 4852, 5, 2181, 3056, 55242, 1644, 96986, 36324, 8947, 170479, 7746, 1470, 75230, 2702, 3131, 80453, 54260, 96986, 2808, 88680, 10676, 6, 119859, 57619, 12483, 6, 75290, 149364, 5, 10069, 30109, 48904, 15307, 54260, 2882, 119055, 77188, 657, 54260, 40920, 4151, 4484, 35596, 37729, 10676, 1470, 75230, 73215, 2882, 230764, 10676, 6235, 30473, 40920, 4, 199145, 37826, 4838, 27702, 29659, 52480, 96986, 192183, 29631, 4, 2200, 3056, 55242, 46244, 9721, 65482, 50856, 5, 10069, 1470, 75230, 2702, 30473, 40920, 12483, 230764, 6, 150839, 39083, 17310, 3120, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 220224, 49008, 55242, 46244, 221067, 4, 2702, 54260, 20315, 1211, 4151, 30109, 48904, 75290, 37826, 6, 189098, 13458, 75230, 40920, 220224, 1211, 203013, 37729, 6, 21106, 88660, 506, 39083, 84475, 31249, 91595, 6093, 145813, 54260, 4852, 4, 84475, 7369, 3056, 7369, 23269, 22426, 2882, 3120, 5332, 22426, 13159, 4838, 67537, 171433, 152185, 30109, 48904, 15307, 54260, 2882, 5, 2808, 75230, 114349, 54260, 2648, 17310, 12, 4151, 199145, 112216, 16803, 230764 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 230764, 215031, 70695, 20260, 12483, 4, 170479, 7511, 2882, 6, 104378, 2205, 27702, 65606, 2442, 17310, 7265, 120202, 6093, 26612, 10918, 29771, 16667, 7201, 21106, 12483, 2200, 3523, 54260, 8903, 1982, 75230, 2442, 65482, 114955, 2200, 220224, 123073, 187667, 93497, 4, 6, 238144, 1644, 7369, 42542, 220224, 23165, 132025, 105235, 165354, 7265, 4838, 7508, 75230, 4852, 5, 1065, 132746, 268, 10991, 304, 4151, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 62808, 6, 48775, 23093, 12483, 7508, 6093, 3523, 75230, 32206, 36324, 22753, 170479, 6, 226112, 49008, 37189, 2865, 65482, 364, 35596, 126968, 2702, 6, 159696, 46244, 35596, 22753, 1982, 26612, 506, 48904, 2442, 77188, 4838, 30109, 48904, 4113, 12483, 230764, 4838, 7508, 75230, 4852, 5, 7508, 6093, 30109, 48904, 75290, 170479, 6235, 506, 21106, 96986, 119055, 6093, 12483, 95766, 6319, 119718, 23173, 84577, 8580, 4, 95455, 364, 54260, 16803, 4, 7369, 170479, 220224, 1211, 120202, 23269, 46464, 50856, 77188, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 34654, 14856, 46244, 80885, 10339, 21106, 12483, 119055, 109316, 1211, 7746, 6, 150839, 39083, 12483, 3120, 4852, 18167, 6, 23173, 54260, 1211, 4, 123736, 42023, 69529, 27702, 506, 183512, 1644, 17310, 5, 4151, 30109, 48904, 75290, 170479, 43449, 54260, 1982, 12483, 3069, 564, 29060, 4, 2200, 24621, 170479, 1470, 30682, 23050, 1982, 12483, 4838, 17824, 157245, 149010, 1211, 7508, 54260, 110317, 17310, 2050, 144581, 82576, 5, 6, 47351, 120202, 111684, 155045, 18415, 1644, 4852, 39083, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 564, 54260, 2050, 132025, 506, 75230, 1982, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 15, 39293, 506, 2882, 6319, 71577, 5, 8439, 5, 1285, 3131, 22426, 54260, 4852, 170479, 220224, 1211, 4838, 657, 54260, 4944, 18415, 95298, 6, 76776, 506, 17800, 26612, 160687, 8903, 4, 14856, 46244, 80885, 16667, 147582, 2702, 18640, 5, 6, 159696, 8903, 57277, 28726, 8248, 109636, 1211, 2200, 80839, 40920, 170355, 23741, 12483, 220224, 49008, 40653, 506, 75230, 22426, 2882, 72577, 5, 119055, 59929, 6093, 170479, 6235, 110129, 20260, 12483, 119055, 6093, 12483, 3120, 9424, 238144, 78278, 29434, 54260, 6319, 119718, 99766, 193012, 32792, 5, 48494, 203232, 30109, 48904, 165354, 10918, 46685, 170479, 4852, 54260, 1211, 3944, 47332, 18640, 2200, 9181, 23741, 18640, 4, 7265, 1470, 3373, 4667, 8248, 49008, 3131, 54260, 1211, 5, 14856, 170479, 10676, 30109, 48904, 4113, 12483, 564, 92605, 159696, 2050, 67882, 4944, 12483, 37729, 4838, 21374, 54574, 12483, 84475, 17190, 1982, 149010, 1211, 3373, 204403, 16747, 30473, 12483, 3069, 56170, 21733, 54260, 59461, 12483, 20315, 1982, 10184, 75578, 5, 6319, 23173, 18415, 224220, 80453, 13159, 12483, 73784, 6319, 137377, 45223, 55823, 1211, 1470, 75230, 4667, 4151, 13342, 5, 364, 54260, 36419, 6, 64991, 30750, 35189, 4, 364, 54260, 2050, 2200, 6319, 186955, 73784, 22444, 165354, 15, 39293, 506, 2882, 6319, 71577, 5, 21162, 4, 364, 54260, 2702, 2200, 6319, 186955, 3069, 4151, 28726, 75578, 4, 2200, 6319, 23173, 18415, 1470, 54260, 50856, 54260, 1982, 109226, 7265, 364, 35596, 126968, 2702, 170479, 12483, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 8300, 238144, 874, 39083, 193012, 32792, 5, 48494, 203232, 220224, 49008, 34654, 10213, 80885, 2200, 1470, 54260, 5666, 7201, 26612, 4944, 80885, 27702, 506, 183512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1644, 109226, 5, 2442, 6093, 1470, 54260, 4852, 4484, 21106, 16932, 224220, 80453, 13159, 73784, 27702, 186145, 55823, 50856, 12483, 16175, 54260, 1644, 3056, 84087, 54260, 40920, 4151, 1982, 91595, 6093, 7265, 13845, 199145, 42542, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 5, 48494, 203232, 6319, 21106, 18415, 119055, 59929, 6093, 43649, 77188, 4151, 238144, 16932, 6093, 32887, 15231, 2932, 4484, 54260, 2882, 3120, 1285, 7544, 58679, 200117, 12483, 4, 2200, 107189, 2442, 77188, 7508, 120467, 6, 73906, 97634, 177243, 54260, 1982, 17310, 4, 2200, 67882, 40920, 4151, 144754, 564, 92605, 159696, 46685, 10676, 30109, 48904, 4113, 12483, 5, 224220, 80453, 13159, 12483, 3120, 6, 59929, 29766, 75230, 68558, 3120, 210346, 68959, 21106, 1211, 15, 4113, 22426, 51172, 203232, 3373, 99766, 1982, 16, 37826, 1285, 207013, 163139, 24152, 17310, 4, 2200, 105235, 21295, 874, 48904, 107581, 874, 39083, 120202, 21776, 2050, 116486, 23847, 13159, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 5, 657, 218241, 21106, 4113, 132025, 159696, 16747, 109226, 3120, 78104, 185226, 104985, 123736, 119718, 4838, 710, 29766, 54260, 1211, 4, 84475, 4838, 101328, 94741, 8580, 4, 84475, 9213, 40920, 710, 39083, 170355, 22849, 4852, 54260, 49008, 6, 48775, 23093, 170355, 2050, 5, 95766, 10339, 21106, 3120, 54745, 1644, 9221, 49792, 4, 170479, 12483, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 6319, 21106, 18415, 224220, 80453, 13159, 12483, 73784, 4484, 137377, 4, 84475, 163139, 35189, 506, 39083, 18415, 1470, 54260, 5666, 22426, 92605, 109226, 3120, 6, 76776, 36419, 657, 54260, 192956, 2442, 15, 159696, 2882, 7213, 29060, 109636, 13805, 2819, 55242, 506, 2882, 6319, 71577, 5, 21162, 5, 34654, 119055, 26612, 506, 54561, 710, 110317, 4484, 54260, 2882, 42542, 6235, 9719, 50853, 77188, 119055, 6093, 12483, 37729, 2442, 54260, 110317, 17310, 2702, 144581, 82576, 2702, 5, 27702, 21847, 54260, 2882, 3120, 1470, 54260, 5666, 7201, 26612, 107581, 119055, 59929, 6093, 144581, 82576, 2702, 3120, 6, 71577, 26612, 41595, 119055, 59929, 6093, 4231, 123073, 29434, 54260, 6, 150037, 50856, 12483, 5, 7508, 120467, 3069, 212484, 2882, 34654, 33960, 23741, 12483, 119055, 13845, 107581, 119055, 6093, 12483, 35189, 113889, 4667, 6, 23173, 75230, 2702, 8903, 111684, 33716, 3120, 6, 75290, 149364, 22444, 81455, 1285, 24012, 6093, 12483, 5, 73906, 2882, 7201, 23173, 25222, 23741, 17310, 15, 36419, 22426, 92178, 710, 192494, 16, 90848, 2702, 3056, 4838, 3069, 29659, 183512, 199145, 23050, 506, 63532, 7746, 3120, 33960, 23741, 12483, 199145, 6, 35596, 119718, 7682, 1644, 12483, 7746, 95766, 6, 47351, 1470, 54260, 16932, 3120, 4838, 119055, 10705, 16747, 7369, 8903, 8580, 119718, 10705, 2205, 6, 75290, 149364, 5, 2205, 107189, 20315, 10339, 21106, 12483, 3056, 8903, 3111, 2932, 3069, 6, 73381, 171428, 1285, 119055, 10705, 16747, 2200, 6, 23173, 75230, 2702, 212484, 12483, 10676, 1470, 54260, 16932, 5, 4151, 3069, 29659, 183512, 4484, 177148, 1470, 75230, 4667, 160238, 2205, 4838, 9424, 39083, 132025, 105235, 39340, 152848, 30109, 48904, 15307, 54260, 96986, 163139, 1285, 7201, 16932, 17645, 4, 29659, 23173, 25616, 75322, 6293, 15, 18415, 57277, 3111, 2050, 247, 7508, 75230, 4852, 4, 82977, 87311, 142170, 4, 1470, 5, 6428, 5, 4269, 5, 159696, 1211, 8947, 220224, 49008, 56170, 47351, 2205, 6, 75290, 149364, 42493 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 133190, 33960, 23741, 12483, 4, 133190, 1470, 75230, 4667, 1285, 134067, 90848, 1982, 12483, 119055, 13845, 107581, 56170, 63864, 170355, 4944, 12483, 220224, 4, 364, 54260, 16803, 4151, 10339, 21106, 137, 36419, 22426, 92178, 710, 192494, 5, 155, 4151, 28726, 168155, 119055, 29060, 84087, 54260, 40920, 6235, 20315, 20260, 12483, 36324, 4151, 8248, 42023, 3120, 6319, 21106, 119718, 8580, 52059, 710, 50273, 3056, 74806, 205416, 1982, 12483, 3120, 215031, 10339, 21106, 5, 1285, 7544, 58679, 200117, 12483, 51678, 6, 23173, 54260, 1211, 2205, 6, 73906, 48253, 226112, 2050, 37729, 4838, 657, 218241, 21106, 6093, 1470, 54260, 16932, 119718, 10705, 16747, 4, 2200, 119055, 12483, 220224, 6, 104378, 3069, 6, 47351, 221895, 1211, 16175, 54260, 1644, 6, 75290, 149364, 4, 51678, 220224, 178748, 32792, 67882, 4944, 12483, 125523, 6, 47351, 1470, 54260, 16932, 172060, 185226, 5, 36324, 75230, 4838, 68550, 6, 35596, 119718, 7682, 1644, 12483, 220224, 29060, 149010, 1470, 54260, 16932, 119718, 10705, 16747, 12483, 5, 215031, 3069, 29659, 48904, 2442, 119055, 77188, 132025, 61397, 25046, 12483, 137, 22426, 26612, 710, 14004, 192494, 2909, 10069, 7508, 75230, 4852, 2200, 119055, 10705, 16747, 171433, 105235, 4484, 17310, 162982, 2808, 75230, 101608, 4838, 119055, 10705, 16747, 4, 51678, 1285, 7544, 58679, 200117, 12483, 6, 23173, 54260, 118025, 710, 183216, 37729, 95455, 7038, 16932, 1644, 54260, 1982, 4, 113889, 4667, 10676, 21374, 5666, 109636, 2882, 4, 84475, 125523, 4838, 874, 22426, 15350, 2819, 37729, 1285, 620, 54260, 2050, 506, 75230, 96986, 3120, 6, 75290, 149364, 74, 92500, 37729, 30109, 48904, 39340, 16175, 171433, 212413, 2702, 5, 21087, 2865, 22426, 97634, 51723, 5, 1285, 177157, 22426, 97634, 51723, 7369, 3131, 54260, 49008, 4838, 29434, 54260, 7916, 6093, 193012, 125523, 35189, 118473, 18640, 17310, 5, 1470, 75230, 1982, 1285, 34482, 170355, 30750, 3056, 4838, 119055, 10705, 16747, 4, 119055, 77188, 1285, 119055, 10705, 16747, 6, 238144, 104238, 4, 8903, 3131, 119718, 39083, 114436, 4, 2200, 34654, 9721, 171428, 119055, 6093, 12483, 7508, 75230, 2882, 32792, 5, 3069, 6093, 29659, 6, 111684, 21295, 7746, 115222, 21295, 4, 26612, 203326, 13845, 10184, 75578, 4, 199145, 43649, 54260, 98833, 193012, 32792, 4, 2200, 1751, 179857, 43178, 238144, 1211, 4, 4151, 6, 172060, 75386, 3056, 3131, 119718, 26612, 4667, 2200, 9915, 13845, 4, 34654, 3069, 23405, 6, 110129, 165354, 2200, 564, 93704, 87442, 7265, 6, 47351, 364, 54260, 18415, 1644, 4, 2200, 2205, 24621, 46244, 80885, 10339, 21106, 12483, 7508, 75230, 2882, 4838, 68550, 1285, 5332, 165354, 5, 95455, 6235, 30473, 40920, 3056, 43449, 54260, 4667, 4, 84475, 6, 65606, 75230, 2882, 42542, 220224, 1211, 6235, 22849, 32792, 6, 88660, 7972, 77188, 5, 21776, 1644, 9221, 49792, 2200, 7369, 36326, 22426, 17310, 220224, 49008, 6, 119859, 129891, 123736, 23741, 4113, 7369, 3131, 54260, 5666, 109226, 5, 14856, 42542, 28415, 165354, 4, 36324, 3120, 7508, 6093, 364, 75230, 2882, 6, 32670, 12483, 7746, 7508, 75230, 18415, 167048, 54260, 7201, 71804, 4667, 40653, 10676, 115825, 16870, 4, 199145, 95455, 9424, 54260, 98833, 36324, 1285, 7544, 58679, 200117, 12483, 29434, 710, 183216, 6, 23173, 54260, 1211, 37729, 20315, 2050, 564, 137119, 119718, 59929, 6093, 15, 7972, 2865, 55823, 16, 2205, 21776, 2050, 6, 73906 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48253, 226112, 2050, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 4151, 33960, 23741, 37826, 1285, 1470, 54260, 8903, 5666, 95494, 23741, 3069, 163139, 24152, 12483, 230764, 20315, 2050, 364, 23173, 26394, 1211, 2200, 6, 59461, 159696, 1211, 114650, 105439, 5, 10339, 39083, 88660, 2865, 65482, 22444, 506, 3056, 101251, 1982, 93704, 24295, 13497, 3523, 75230, 15231, 2932, 5, 4151, 30109, 48904, 75290, 170479, 7746, 6235, 7916, 49008, 2205, 6, 47351, 132025, 2932, 65482, 506, 51723, 4, 9181, 160687, 8903, 1211, 21422, 46685, 4, 119718, 10705, 8947, 107776, 6, 23173, 54260, 1211, 1285, 8248, 23269, 110970, 54260, 1211, 5, 8947, 3056, 55242, 46244, 163139, 24152, 170355, 2050, 6, 23173, 75230, 2702, 13342, 105235, 1644, 12483, 10069, 119055, 10705, 16747, 3069, 1285, 43649, 48775, 54574, 12483, 3120, 4151, 6, 119312, 4, 234917, 874, 39083, 193012, 32792, 5, 95455, 3069, 29659, 77188, 1285, 7544, 58679, 200117, 12483, 2200, 45223, 23741, 1470, 75230, 51437, 54260, 1644, 12483, 5, 34654, 145813, 54260, 4852, 170479, 220224, 1211, 147582, 2702, 18640, 4, 29771, 75578, 6, 76776, 506, 17800, 26612, 23741, 18640, 5, 80839, 40920, 170355, 23741, 12483, 220224, 49008, 3373, 109636, 42180, 1644, 6, 48775, 23093, 170355, 2050, 5, 4151, 30109, 183512, 75290, 170479, 81414, 20260, 12483, 6, 159696, 110317, 80885, 16667, 29434, 54260, 6319, 119718, 99766, 119055, 59929, 6093, 193012, 32792, 4, 6, 238144, 1644, 95455, 6, 159696, 23093, 13845, 23741, 12483, 564, 165592, 54260, 15231, 8903, 1211, 1285, 33960, 23741, 12483, 3120, 6, 75290, 149364, 5, 12415, 364, 75230, 2882, 170479, 160751, 142429, 12483, 119055, 6093, 12483, 4, 2200, 1470, 75230, 1982, 4151, 30109, 48904, 75290, 1751, 119718, 710, 56169, 4, 170479, 18225, 2808, 30682, 193012, 32792, 119055, 26612, 3131, 12483, 7265, 220224, 6293, 2200, 119055, 59929, 6093, 5, 564, 92605, 63593, 23741, 34654, 33960, 23741, 12483, 37729, 2808, 75230, 7201, 22426, 59929, 12483, 230764, 1285, 6235, 35189, 448, 4, 37729, 160751, 12483, 6, 47351, 120202, 111684, 155045, 18415, 1644, 73784, 132025, 506, 54260, 1982, 69355, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 4, 2200, 4838, 193012, 149010, 1211, 7508, 54260, 110317, 17310, 2702, 144581, 82576, 5, 177274, 29434, 54260, 97816, 2932, 15907, 4838, 6235, 159696, 506, 5666, 149010, 1211, 65902, 82576, 3120, 4, 4838, 112216, 41595, 119055, 59929, 6093, 4, 199145, 170479, 132025, 506, 21106, 96986, 4838, 8903, 119718, 710, 36419, 9424, 54260, 2882, 4, 40611, 36324, 7508, 6093, 6, 75290, 149364, 170479, 6, 23173, 54260, 54561, 75230, 8903, 1211, 95455, 119055, 59929, 6093, 4, 2200, 36324, 75230, 23173, 14088, 6, 23173, 75230, 2702, 119718, 26612, 3131, 12483, 1285, 33960, 23741, 12483, 5, 16175, 171433, 40697, 174538, 12483, 3069, 43649, 23173, 165354, 21776, 2050, 30109, 48904, 4113, 12483, 4, 2451, 364, 54260, 36419, 6, 131445, 30750, 35189, 4, 364, 54260, 36419, 2200, 6319, 21106, 18415, 174538, 12483, 73784, 22444, 165354, 4, 364, 54260, 36419, 2200, 4484, 21106, 18415, 174538, 12483, 3069, 7508, 6093, 17190, 75578, 2200, 34654, 6235, 35189, 46598, 4, 27702, 21847, 54260, 2882, 3120, 4838, 6319, 21106, 16932, 1470, 54260, 50856, 54260, 1982, 17310, 4, 170479, 12483, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 9424, 238144, 84475, 29434, 54260, 874, 39083, 193012, 32792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15, 39293, 506, 2882, 6319, 71577, 5, 21162, 5, 2808, 75230, 1982, 4151, 10184, 75578, 3056, 364, 75230, 4667, 4, 204982, 4838, 115222, 54574, 12483, 84475, 17190, 1982, 149010, 1211, 6, 150349, 171433, 50273, 12483, 15, 26612, 3131, 119718, 26612, 2050, 1982, 142429, 247, 3069, 235210, 12483, 7265, 6319, 21106, 18415, 224220, 80453, 13159, 12483, 73784, 6319, 137377, 5, 2808, 75230, 1982, 1285, 132025, 105235, 4484, 17310, 6235, 7916, 13497, 7746, 2205, 4151, 364, 84577, 84475, 2205, 6, 64991, 4, 84475, 47351, 221895, 1211, 115825, 2648, 4, 170479, 18225, 160751, 12483, 4838, 657, 48904, 8903, 364, 54260, 36419, 564, 142429, 4, 7265, 4151, 506, 31623, 17310, 88660, 2865, 80453, 13159, 12483, 4, 4838, 144532, 8903, 2648, 87442, 7265, 4838, 874, 37016, 41595, 64260, 15, 25207, 8903, 1211, 2865, 84577, 13845, 247, 84475, 16175, 75230, 3131, 12483, 364, 54260, 36419, 2200, 6319, 21106, 18415, 174538, 12483, 9424, 238144, 874, 39083, 193012, 32792, 5, 36324, 75230, 163139, 95455, 364, 23173, 8580, 3056, 95766, 215031, 10339, 21106, 6235, 5666, 75230, 98833, 132025, 8903, 68566, 55823, 1211, 3069, 119055, 6093, 12483, 4, 3056, 6428, 23173, 88680, 101251, 1982, 93704, 23174, 2882, 3523, 75230, 15231, 2932, 36324, 4151, 30109, 48904, 75290, 170479, 22444, 506, 12483, 2205, 564, 29060, 4, 2200, 1470, 75230, 1982, 3523, 75230, 15231, 2932, 170479, 3069, 8903, 147713, 2882, 159696, 25207, 1211, 6, 47351, 1470, 54260, 4852, 1982, 54260, 18415, 1644, 73784, 364, 23173, 26394, 1211, 5, 4838, 187667, 93975, 151614, 110968, 23405, 161321, 28726, 67826, 2865, 17310, 68313, 4838, 17824, 75230, 36419, 11211, 108968, 2205, 215031, 10339, 21106, 5, 4484, 71577, 15907, 13845, 6260, 94741, 137218, 12890, 92178, 2200, 117902, 94741, 23847, 21660, 905, 75290, 25616, 48904, 15307, 54260, 226112, 2050, 2205, 4838, 30109, 48904, 15307, 54260, 2882, 119055, 13845, 107581, 9424, 54260, 1982, 35596, 7746, 1470, 75230, 2702, 7508, 6093, 144754, 199145, 2205, 21776, 2050, 73906, 2882, 2200, 2205, 34654, 24012, 6093, 12483, 3056, 56170, 47351, 3069, 10184, 6093, 3069, 75290, 5, 63864, 170355, 4944, 12483, 5, 48494, 203232, 2205, 4838, 30109, 48904, 15307, 54260, 2882, 199145, 119055, 77188, 40653, 139449, 1982, 142673, 506, 4, 2200, 34654, 11265, 12483, 220224, 49008, 27702, 905, 29771, 83182, 2050, 130170, 119718, 29766, 55823, 1211, 3069, 9213, 46244, 5, 1285, 23050, 95064, 95064, 48494, 36419, 657, 54260, 20315, 2882, 6, 159696, 110317, 3120, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 5, 1285, 178674, 54260, 2882, 4, 10184, 4852, 40697, 2190, 188201, 15231, 2932, 4484, 54260, 2882, 4, 23050, 15907, 22426, 84577, 4484, 54260, 2882, 3120, 1285, 6235, 111684, 1644, 12483, 2200, 6, 59461, 159696, 1211, 67882, 4944, 12483, 1470, 54260, 119132, 37922, 7916, 16747, 32792, 3069, 7508, 6093, 6, 90848, 4852, 161459, 3523, 57277, 24152, 56170, 3131, 80453, 54260, 16932, 70695, 20260, 506, 54260, 2882, 5, 21087, 2865, 22426, 96256, 18225, 12, 17824, 75230, 36419, 203370, 2882, 4, 2200, 123736, 7201, 16932, 6, 212484, 12483, 3120, 7508, 6093, 179096, 1211, 74, 2808, 75230, 101608, 23269, 159696, 506, 5666, 54260, 75578, 6, 71577, 29060, 15907, 73784, 8947, 12483, 5, 2181, 220224, 49008, 56170, 47351, 14856, 110970, 12483, 6, 159696, 195164, 3131, 119718, 26612, 4944, 4484, 54260, 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 ]
[ 2205, 3069, 8947, 12483, 10184, 6093, 22753, 36419, 145813, 54260, 4852, 5, 220224, 6093, 6, 54260, 88945, 7511, 26612, 23741, 17824, 54260, 40920, 36324, 75230, 238144, 2882, 48494, 203232, 220224, 4269, 91275, 26, 171428, 145813, 54260, 4852, 1470, 75230, 1982, 220224, 51678, 2181, 42493, 46050, 4113, 8903, 1211, 230764, 6, 47351, 5332, 46244, 149010, 1211, 185527, 5, 56170, 12415, 6093, 12483, 6235, 119718, 710, 40920, 4, 220224, 49008, 56170, 29659, 137377, 2882, 4, 2200, 220224, 123073, 75851, 21733, 12483, 220224, 49008, 4231, 119718, 2808, 4667, 5, 34654, 224220, 80453, 710, 138194, 109226, 3120, 3069, 75290, 25616, 48904, 15307, 54260, 2882, 220224, 49008, 10184, 109316, 4, 119718, 710, 9424, 5, 564, 5, 6, 80453, 54260, 15231, 46598, 4, 6319, 23173, 18279, 20260, 139365, 6, 4, 115222, 16932, 87442, 2050, 4, 564, 54260, 2702, 43178, 54260, 4, 82977, 48775, 15907, 2050, 4, 39083, 104238, 2702, 4, 23050, 22680, 40096, 448, 4, 107020, 204403, 18415, 129891, 4, 6, 76776, 155341, 65482, 2200, 101251, 101296, 40920, 5, 1285, 26612, 1982, 29060, 123329, 4852, 54260, 49008, 1470, 75230, 4667, 55242, 46244, 130170, 119718, 29766, 55823, 1211, 3069, 4231, 119718, 710, 16747, 46464, 40920, 5, 95766, 4231, 17310, 123073, 874, 43178, 29259, 12483, 2205, 34654, 30109, 48904, 15307, 54260, 2882, 6235, 55823, 46244, 149010, 2442, 1470, 54260, 2442, 6093, 2205, 895, 16932, 4113, 4, 2200, 6235, 55823, 46244, 149010, 2442, 2205, 7508, 71512, 1470, 54260, 35189, 2205, 1285, 39340, 14856, 110970, 12483, 5, 30109, 48904, 39340, 114955, 6, 15907, 65285, 1211, 14856, 46244, 47332, 172398, 1470, 75230, 1982, 3120, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 125523, 4838, 41764, 89184, 142429, 3120, 27702, 119718, 10705, 47332, 212484, 710, 20260, 54260, 2882, 5, 1285, 27702, 119718, 146598, 226112, 4852, 18640, 4484, 54260, 2882, 119055, 77188, 56170, 63864, 170355, 40920, 3120, 3069, 10184, 109316, 115398, 2205, 6, 75290, 149364, 5, 3120, 874, 75230, 1644, 6, 111684, 33716, 7746, 4838, 6, 61397, 31212, 163139, 3120, 80839, 40920, 4, 2200, 21776, 90848, 23093, 4113, 51723, 3056, 16175, 32097, 2200, 6, 127684, 5, 215031, 3069, 29659, 183512, 6, 186797, 2882, 7746, 14856, 46244, 80885, 16667, 6, 191951, 26612, 119718, 10705, 16803, 212484, 18640, 4484, 54260, 2882, 5, 2442, 6093, 3069, 75290, 3120, 7508, 6093, 179096, 1211, 152, 1285, 193012, 149010, 874, 120467, 179096, 1211, 3120, 4838, 1285, 26612, 1982, 29060, 123329, 17824, 54260, 40920, 78278, 10184, 6093, 84475, 6, 105780, 6293, 112216, 41595, 2702, 5, 34654, 48494, 203232, 3069, 75290, 3056, 55242, 46244, 7201, 23173, 3131, 54260, 20315, 1211, 4, 3120, 119055, 76632, 61397, 4838, 75386, 1470, 54260, 1211, 116486, 8300, 35596, 2205, 107189, 20315, 10339, 21106, 12483, 4, 78278, 6, 105780, 6293, 29771, 35189, 125523, 14856, 46244, 2205, 7369, 16667, 16932, 4113, 10339, 21106, 12483, 5, 20033, 6, 48775, 23093, 12483, 42493, 10676, 30109, 48904, 4113, 12483, 3069, 195164, 96986, 1285, 874, 120467, 3120, 220224, 1211, 179096, 1211, 4, 6, 238144, 1644, 95455, 119055, 29060, 1470, 30682, 220273, 7511, 2882, 45223, 55823, 1211, 2819, 95455, 2808, 54260, 109985, 4113, 199145, 7369, 42542, 6, 23093, 2884, 3056, 3069, 27702, 506, 6093, 3131, 12483, 220224, 1211, 6, 71577, 29060, 15907, 5, 1982, 26612, 506 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48904, 2442, 1644, 17310, 5, 56170, 107189, 20315, 10339, 21106, 12483, 6, 48775, 23093, 12483, 20033, 163139, 10339, 39083, 98833, 6, 19721, 5, 81414, 185226, 8248, 22426, 2200, 119055, 59929, 6093, 78278, 1285, 179096, 1211, 3056, 32054, 54260, 3120, 3069, 75290, 5, 5442, 6, 119273, 3120, 6, 105780, 6293, 78278, 55242, 13805, 1470, 9416, 12483, 3120, 11265, 2932, 35596, 119055, 13845, 104238, 3120, 1285, 119055, 16870, 4852, 17645, 18415, 17160, 4944, 199145, 56170, 87311, 8903, 1211, 6, 105780, 6293, 116486, 8300, 35596, 48706, 23173, 15231, 5, 36324, 13845, 107581, 119055, 6093, 30473, 29060, 54260, 69801, 2702, 220224, 49008, 152, 17190, 96418, 4, 17824, 71512, 2190, 8903, 24152, 13159, 4, 6, 97634, 24621, 15907, 120467, 4, 4838, 150349, 23173, 26612, 2932, 120467, 4, 6, 150349, 71512, 15231, 4, 6, 28317, 7682, 68566, 16667, 4, 73095, 44478, 710, 4, 21776, 16747, 13845, 54260, 68558, 68566, 16667, 4, 4838, 33716, 111179, 218241, 13159, 4, 9721, 120467, 13845, 150349, 48775, 36609, 2702, 4, 6, 218241, 25207, 4, 6, 78683, 15096, 7201, 71804, 14303, 4, 30109, 75230, 2882, 4, 161048, 22426, 1644, 35596, 4, 21776, 15231, 10813, 26612, 4667, 4, 3373, 65848, 195562, 100810, 5, 1065, 124618, 268, 94741, 137218, 12890, 92178, 4, 2200, 117902, 94741, 2932, 25207, 104342, 363, 5, 10676, 23050, 13805, 96986, 166464, 6, 119273, 6, 105780, 6293, 84475, 6, 26394, 42023, 116486, 8300, 35596, 14856, 46244, 3120, 1285, 2648, 29771, 30473, 8903, 6, 159696, 68959, 36326, 18415, 17160, 2702, 29485, 36324, 75230, 6, 71804, 23405, 163139, 1285, 179096, 1211, 3056, 32054, 54260, 3120, 3069, 75290, 4, 17190, 98833, 3069, 193012, 32792, 3120, 4838, 40920, 1982, 15533, 6, 26394, 42023, 116486, 8300, 35596, 3120, 1285, 6, 159696, 50273, 4113, 18415, 17160, 2702, 4, 84475, 80839, 40920, 4, 84475, 29434, 54260, 2190, 57619, 12483, 3120, 1285, 6, 159696, 50273, 4113, 18415, 17160, 2702, 84475, 80839, 40920, 3120, 1285, 199145, 56170, 87311, 8903, 1211, 37640, 193338, 42023, 22426, 90848, 8300, 35596, 48706, 23173, 48253, 4, 84475, 9424, 238144, 1470, 9416, 12483, 3120, 1285, 6, 159696, 50273, 4113, 18415, 17160, 2702, 199145, 56170, 87311, 8903, 1211, 9424, 119718, 26612, 109985, 116486, 8300, 35596, 48706, 23173, 48253, 5, 1285, 6, 159696, 50273, 4113, 18415, 17160, 2702, 199145, 56170, 87311, 8903, 1211, 8300, 119718, 40697, 1211, 6, 105780, 6293, 2200, 6, 26394, 42023, 116486, 8300, 35596, 48706, 23173, 2882, 2882, 220224, 49008, 152, 6319, 119718, 40096, 2882, 15, 95564, 119718, 26612, 3131, 247, 75290, 64260, 2702, 4, 21422, 69801, 13159, 4, 6, 28317, 7682, 13159, 4, 6, 126700, 12483, 4, 2200, 21374, 68697, 13159, 15, 204403, 2865, 112452, 194, 80839, 40920, 119718, 120467, 64769, 23093, 186955, 78278, 6, 26394, 42023, 116486, 8300, 35596, 48706, 23173, 48253, 4, 220224, 49008, 152, 4838, 189623, 68959, 3131, 13159, 4, 41764, 710, 153222, 2702, 4, 112216, 8580, 4113, 109636, 1644, 4, 3373, 226112, 75578, 21292, 4, 37189, 2702, 75578, 21292, 4, 30109, 4113, 108020, 21292, 4, 119055, 64260, 6093, 24621, 1644, 68558, 92500, 17824, 54260, 22426, 141562, 2882, 5, 6, 159696, 50273, 4113, 18415, 17160, 2702, 199145, 64769, 23093, 21106, 96986, 101251, 8903, 55823, 46244, 37640, 193338, 42023, 22426, 90848, 8300, 35596, 48706 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 48253, 4, 220224, 49008, 152, 17824, 71512, 4838, 68697, 13159, 4, 186046, 2702, 7511, 22426, 2702, 2200, 1157, 175323, 24621, 564, 100810, 5, 141562, 40920, 3120, 37640, 193338, 42023, 48706, 23173, 48253, 220224, 49008, 152, 6, 78683, 93509, 12483, 4, 5332, 109636, 1644, 4, 564, 23173, 12483, 4, 6, 238144, 5666, 149364, 71804, 4667, 4, 21776, 2702, 75578, 21292, 4, 2200, 43449, 64071, 121865, 5, 6, 159696, 50273, 4113, 18415, 17160, 2702, 3120, 9424, 119718, 26612, 109985, 116486, 8300, 35596, 16803, 23173, 48253, 220224, 49008, 152, 6319, 23173, 97634, 61541, 4, 109925, 564, 100810, 4, 74078, 564, 100810, 4, 2200, 17824, 71512, 6, 98055, 140354, 39293, 5, 1285, 10339, 39083, 8903, 5666, 25207, 80839, 40920, 64769, 23093, 21106, 96986, 9424, 119718, 26612, 109985, 116486, 8300, 35596, 48706, 23173, 48253, 152, 21066, 29771, 51723, 4, 564, 208048, 23269, 2702, 2200, 6235, 110129, 39340, 194734, 6, 80453, 143840, 45955, 36324, 75230, 9915, 13845, 163139, 4151, 3069, 75290, 27702, 238144, 4852, 2882, 7746, 163139, 35189, 2205, 4151, 179096, 1211, 4, 10339, 59929, 57277, 166464, 84475, 14856, 46244, 1470, 75230, 1982, 3523, 75230, 15231, 2932, 4, 78278, 1285, 179096, 1211, 3056, 163139, 35189, 32054, 54260, 3120, 3069, 75290, 5, 35189, 113889, 4667, 105884, 34365, 54196, 34654, 48706, 23173, 48253, 3131, 22426, 54260, 4852, 230764, 4838, 29434, 15907, 13845, 4, 2200, 163139, 35189, 506, 39083, 2882, 1285, 5666, 29766, 199145, 4151, 87311, 194734, 116486, 2932, 48775, 2050, 4, 2200, 620, 34533, 6, 23173, 54260, 1211, 116486, 18415, 8580, 2200, 45521, 2882, 4, 95455, 506, 54260, 16803, 4, 1470, 54260, 6093, 4, 56170, 2050, 39340, 4852, 4, 120202, 8903, 3131, 101296, 194734, 15, 64310, 27105, 16, 7544, 66317, 4, 143750, 96986, 13458, 75230, 2882, 4, 29771, 35189, 12023, 95564, 119718, 710, 96986, 4, 4838, 7972, 119718, 2702, 4, 6, 172060, 16932, 4, 1470, 75230, 1644, 4, 6, 44182, 4, 3373, 75230, 12890, 16667, 4, 6, 99611, 4, 2200, 4, 1470, 75230, 1982, 24621, 163139, 1644, 4, 874, 95564, 13845, 21066, 54260, 3131, 4, 16175, 54260, 165354, 2200, 10184, 3131, 5, 10069, 4151, 87311, 194734, 145813, 54260, 104149, 170479, 12483, 42493, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 2205, 4838, 3069, 17824, 75230, 101608, 874, 120467, 5, 238144, 1644, 220224, 64769, 23093, 14081, 96986, 14856, 46244, 84475, 119055, 76632, 61397, 48706, 23173, 48253, 4, 2200, 51678, 6, 95494, 55823, 1211, 3069, 7916, 13845, 48706, 23173, 15231, 2205, 6, 75290, 149364, 3120, 30109, 48904, 4113, 12483, 43652, 1470, 75230, 1982, 4151, 3069, 75290, 7369, 3131, 54260, 13497, 163139, 35189, 2205, 4151, 179096, 1211, 4, 170479, 18225, 163139, 35189, 7201, 59929, 96986, 78278, 4151, 3069, 75290, 56170, 3131, 119718, 710, 16747, 29060, 4, 2200, 4151, 113889, 4667, 163139, 35189, 6, 29060, 119718, 120467, 56170, 21733, 54260, 59461, 12483, 1285, 874, 120467, 145813, 54260, 4852, 5, 8947, 3056, 6, 48775, 23093, 170355, 2050, 3069, 10339, 59929, 96986, 1470, 54260, 1211, 166464, 2205, 4151, 119718, 29771, 4667, 4, 84475, 23050, 506, 51723, 55242, 46244, 6, 159696, 110317, 145813, 54260, 4852, 6, 17645, 119132, 166464, 5, 2808, 75230, 101608, 4151, 145813, 54260, 4852, 170479, 18225, 1470, 75230, 2702, 119718, 9221, 165354, 36324, 1285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 35189, 448, 170479, 12483, 220224, 1211, 123736, 55823, 1211, 25207, 195054, 195164, 18640, 4, 14856, 170479, 23050, 506, 51723, 4838, 203326, 13845, 148707, 93497, 26612, 15533, 4, 3373, 54260, 20315, 1211, 4151, 30109, 48904, 75290, 68313, 55242, 46244, 1751, 119718, 26612, 4667, 4, 4838, 17190, 1982, 149010, 84475, 21374, 506, 28726, 564, 142429, 177274, 1211, 166464, 4, 14856, 170479, 163139, 6, 238144, 2882, 190386, 18167, 56170, 199511, 230764, 4151, 32054, 54260, 6093, 9181, 23741, 4, 119055, 10705, 4151, 65902, 2865, 40096, 3056, 4838, 6, 195164, 161459, 4, 14856, 6, 94741, 63020, 620, 29771, 55823, 1211, 2205, 4838, 72577, 2808, 75230, 2702, 195054, 25046, 16932, 96986, 21422, 46685, 4, 2200, 7746, 2808, 75230, 51437, 710, 96986, 3120, 9934, 29766, 2932, 2200, 4269, 54260, 16803, 161459, 1470, 75230, 22680, 4113, 2932, 17310, 5, 204403, 94741, 23847, 16870, 120467, 3056, 4838, 30109, 48904, 15307, 54260, 2882, 199145, 107776, 6235, 159696, 506, 5666, 32792, 6, 68558, 2205, 1285, 7265, 109316, 6, 101328, 46244, 12483, 5, 13159, 107776, 3120, 6235, 13458, 75230, 4944, 12483, 6, 21106, 88660, 506, 39083, 4, 3120, 8947, 12483, 3069, 10184, 13845, 116486, 18415, 8580, 3131, 22426, 54260, 4852, 4, 2200, 2588, 1650, 306, 5, 6, 5, 127, 5, 11, 1771, 2230, 2451, 127, 19, 420, 568, 5, 18, 105742, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 69355, 3069, 6, 159696, 110317, 10184, 4852, 152185, 4838, 68697, 54260, 2882, 5, 46654, 54260, 3131, 3056, 564, 165592, 171433, 2442, 93497, 56170, 84577, 119718, 99766, 32792, 7201, 23173, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 4, 6, 238144, 1644, 8947, 64769, 23093, 186955, 10184, 13845, 15622, 2442, 7682, 8947, 9221, 5, 10069, 30109, 48904, 15307, 54260, 2882, 42542, 46711, 73381, 12483, 2205, 4838, 17288, 23741, 161459, 4, 9424, 54260, 2882, 238144, 1644, 161459, 56170, 2050, 4, 84475, 95766, 4838, 67537, 171433, 152185, 5, 7508, 6093, 184639, 132025, 68566, 6293, 55242, 506, 2882, 1470, 75230, 2702, 163139, 4838, 21776, 119718, 2865, 40096, 78653, 5, 35189, 6, 195054, 135118, 2205, 74806, 119718, 39083, 12483, 4, 7508, 75230, 2882, 5, 2200, 4269, 71804, 109985, 4, 2200, 6, 23093, 36609, 119055, 20616, 5, 6, 204932, 109636, 22426, 2702, 17645, 31249, 91595, 4113, 67826, 2865, 17310, 4, 2200, 1470, 75230, 22680, 4113, 67223, 23173, 4484, 54260, 2882, 220224, 49008, 3496, 23173, 129071, 6093, 34533, 13456, 3120, 123736, 23822, 6093, 30109, 48904, 15307, 54260, 2882, 4, 199145, 6, 186145, 23741, 6235, 159696, 506, 5666, 32792, 564, 54260, 76776, 40920, 5, 39248, 171433, 40697, 117902, 94741, 2932, 25207, 6, 35596, 119718, 125897, 21295, 7746, 3120, 123736, 23741, 4113, 6, 40096, 92605, 13159, 3120, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 5, 6, 238144, 16932, 4113, 6, 195054, 135118, 4113, 119055, 6093, 12483, 874, 43178, 32792, 132025, 8903, 68566, 55823, 1211, 4, 2200, 7265, 7508, 6093, 9424, 54260, 2882, 159696, 25207, 1211, 6, 35596, 10918, 50856, 12483, 1285, 24012, 6093, 12483, 4, 34654, 4838, 33716, 89184, 13159, 119055, 6093, 12483, 364, 23173, 2882, 4, 7508, 6093, 564, 137119, 13982, 126986, 75230, 4667, 4, 2200, 7508, 120467, 68889, 8580, 56170, 23847, 13159, 77188, 5, 1982, 26612, 506, 48904, 2442, 12666, 195562, 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 ]
[ 119718, 710, 36419, 14856, 10069, 10918, 49008, 45223, 55823, 1211, 6, 23173, 75230, 2702, 2205, 215031, 10339, 21106, 4, 29771, 75578, 133190, 7508, 6093, 7508, 218241, 205416, 170479, 27702, 29659, 710, 51723, 199145, 220224, 170479, 12483, 220224, 1211, 5, 364, 54260, 36419, 78104, 104238, 92500, 224220, 80453, 13159, 12483, 45223, 55823, 1211, 107189, 35189, 12483, 21776, 2050, 119055, 20616, 97634, 2932, 2205, 1285, 6, 195054, 135118, 4113, 5, 4151, 10213, 82576, 7265, 13845, 1470, 75230, 2702, 13342, 2865, 54260, 20315, 1211, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 42493, 81414, 20260, 12483, 44064, 4838, 46711, 137377, 12483, 3120, 6, 21106, 88660, 506, 39083, 71512, 6235, 23822, 135118, 4113, 4, 2200, 42493, 8947, 12483, 1285, 1751, 159696, 25207, 145813, 54260, 4852, 119055, 13845, 107581, 68313, 81444, 1751, 75230, 1211, 4151, 87311, 13497, 6235, 119718, 29766, 12483, 5, 1285, 119055, 65482, 57277, 12415, 48904, 6093, 145813, 54260, 4852, 4, 224220, 1982, 24295, 54196, 144754, 7544, 66317, 2200, 1470, 54260, 6093, 4, 3056, 1285, 10213, 80885, 145813, 54260, 4852, 56170, 76961, 51723, 5, 8300, 238144, 12483, 1285, 132025, 68566, 55823, 170479, 18225, 23050, 46244, 12483, 6319, 21106, 18415, 10213, 35189, 2200, 1470, 54260, 50856, 54260, 1982, 109226, 5, 159696, 46244, 35596, 1285, 132025, 68566, 55823, 170479, 18225, 132025, 159696, 16747, 12483, 364, 54260, 36419, 119055, 59929, 6093, 9719, 21338, 12483, 5, 1285, 41764, 710, 185226, 149010, 132025, 159696, 16747, 17310, 3120, 1285, 174538, 12483, 199145, 220224, 49008, 6, 90848, 4151, 87311, 13497, 6235, 119718, 29766, 12483, 119055, 109316, 1211, 8903, 119718, 21292, 45223, 55823, 1211, 1470, 75230, 4944, 2865, 54260, 20315, 1211, 4838, 67537, 171433, 40697, 160238, 2050, 3120, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 5, 4484, 54260, 1211, 4838, 83182, 6, 170355, 4667, 163139, 2442, 20911, 42493, 36324, 75230, 4269, 171127, 18640, 230764, 10676, 6, 75290, 149364, 2200, 230764, 35189, 3523, 83586, 163139, 4151, 3523, 54260, 16803, 3120, 6428, 48904, 92341, 23173, 4484, 54260, 2882, 2200, 657, 75230, 1982, 5, 8947, 3056, 4838, 27702, 29659, 710, 188201, 21066, 710, 40920, 3069, 27702, 39340, 112595, 12483, 48277, 48904, 4944, 39083, 71512, 4, 101251, 13342, 94626, 16870, 65482, 6235, 94741, 20260, 12483, 2200, 6235, 111684, 1644, 12483, 4, 292, 36324, 75230, 163139, 8947, 3056, 1470, 75230, 4667, 4838, 147582, 40920, 3069, 120202, 59919, 12483, 160751, 29060, 3069, 4269, 64260, 5, 8947, 3056, 26612, 3523, 40096, 103182, 48350, 68438, 36324, 178766, 4113, 6235, 94741, 20260, 12483, 2200, 6235, 111684, 1644, 12483, 119055, 6093, 12483, 7369, 11556, 2882, 176727, 2200, 6235, 29659, 23173, 20911, 4838, 75386, 20033, 29434, 7682, 12483, 220224, 1470, 75230, 2702, 2205, 119055, 99766, 5, 3496, 64260, 3131, 119055, 6093, 16932, 7508, 12415, 165354, 1470, 75230, 2702, 8903, 94741, 20260, 12483, 4, 2205, 95298, 42493, 119055, 76632, 61397, 6, 120749, 18640, 36324, 6235, 94741, 20260, 12483, 10339, 39083, 8903, 1211, 125523, 119055, 6093, 16932, 5, 2808, 75230, 1982, 6, 21106, 4852, 29771, 20033, 119055, 109316, 1211, 1470, 75230, 92904, 7682, 12483, 2205, 119055, 6093, 16932, 178766, 34076, 75230, 1982, 12483, 4, 2200, 178766, 6428, 48904, 92341, 23173, 4484, 54260, 2882, 3069, 4269, 64260, 56170, 6, 21106, 7611, 199145, 7369, 6, 23093, 36609, 56170, 2190 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16667, 4, 2451, 220224, 1211, 72577, 95564, 54260, 2882, 2200, 657, 17645, 30750, 4, 2451, 119055, 109316, 1211, 178766, 34076, 75230, 1982, 12483, 2200, 32054, 54260, 2442, 7746, 56170, 24621, 46244, 12483, 5, 6319, 54260, 1211, 24621, 110970, 42542, 220273, 7511, 2882, 27702, 23847, 54260, 55823, 1211, 34654, 101251, 8903, 506, 54260, 123073, 9721, 14325, 199145, 7369, 42542, 6, 150839, 21106, 96986, 69355, 4838, 59461, 4484, 171428, 1285, 72577, 95564, 54260, 2882, 2200, 657, 17645, 30750, 3120, 4269, 64260, 3069, 1470, 30682, 6, 149364, 4852, 43178, 32792, 5, 220224, 1211, 4852, 54260, 1211, 32054, 54260, 4667, 119055, 39083, 2882, 6428, 47351, 6235, 159696, 1211, 163139, 6, 47351, 2190, 46685, 36326, 22426, 1982, 23173, 6093, 6319, 119718, 21106, 5, 4484, 71577, 15907, 13845, 5896, 171433, 105235, 4484, 17310, 2702, 8300, 216510, 36419, 2050, 220224, 49008, 56170, 47351, 7369, 16932, 2205, 6, 75290, 149364, 119055, 10705, 7544, 58679, 200117, 12483, 162726, 142429, 710, 12483, 7746, 4, 2200, 24621, 6, 238144, 16803, 42493, 7508, 6093, 69355, 7369, 29659, 78278, 220224, 1751, 80453, 54260, 96986, 7746, 1470, 75230, 2702, 3069, 221895, 16175, 54260, 1644, 12483, 69355, 6, 75290, 149364, 2200, 56170, 63864, 170355, 4944, 12483, 4838, 30109, 48904, 15307, 54260, 2882, 5, 6, 64260, 1285, 7369, 16932, 220224, 49008, 21776, 24152, 119718, 21106, 84475, 34482, 3131, 80453, 17310, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 4, 2200, 4151, 7201, 23173, 22444, 23741, 18225, 36324, 13845, 107581, 171433, 105235, 4484, 109226, 137, 63864, 3131, 80453, 23174, 149010, 2909, 10069, 9424, 54260, 506, 59461, 2200, 1285, 16175, 171433, 212413, 36419, 2050, 3056, 1751, 75230, 1211, 6, 71804, 23405, 4838, 59461, 4484, 35596, 6235, 119718, 29766, 12483, 36324, 6, 47351, 132025, 68566, 6293, 3120, 16175, 171433, 21087, 71804, 111179, 186436, 63532, 123736, 23741, 2865, 39083, 234917, 193012, 56170, 6, 47351, 4838, 57277, 39340, 3120, 21776, 119718, 2865, 40096, 78653, 4, 84475, 37640, 119718, 15907, 119273, 48904, 8580, 5, 2181, 3056, 1470, 75230, 4667, 72577, 564, 233364, 13497, 36324, 30109, 48904, 39340, 9424, 54260, 506, 59461, 220224, 49008, 56170, 84577, 119718, 99766, 32792, 56170, 10184, 109316, 30109, 48904, 15307, 54260, 96986, 2205, 221895, 16175, 54260, 1644, 12483, 3120, 6, 75290, 149364, 5, 22426, 26612, 101328, 12415, 16870, 120467, 3056, 4838, 30109, 48904, 15307, 54260, 2882, 119055, 13845, 107581, 6, 68566, 23741, 6, 68558, 21776, 2050, 9424, 29771, 42023, 564, 54260, 34654, 6, 137218, 35044, 13159, 4, 2200, 55049, 2882, 7746, 6, 23173, 137377, 13342, 4, 2200, 3069, 29659, 77188, 21776, 2050, 6, 26394, 96302, 2200, 21776, 2050, 564, 54260, 1211, 199145, 364, 186955, 55823, 16803, 10676, 9424, 29771, 42023, 5, 95455, 42542, 4838, 144532, 23269, 506, 51723, 10676, 6, 119859, 57619, 12483, 21422, 24152, 13845, 3120, 9424, 29771, 42023, 4, 29771, 35189, 133190, 1470, 54260, 1211, 220224, 2882, 4, 199145, 56170, 63864, 170355, 40920, 6, 47351, 1470, 54260, 16932, 215206, 12483, 6, 68566, 69801, 2205, 9424, 29771, 42023, 5, 13159, 42542, 132025, 68566, 55823, 1211, 43449, 75230, 4852, 1470, 54260, 1211, 119055, 29766, 26394, 1644, 3120, 4838, 9424, 29771, 42023, 4, 36324, 75230, 95455, 4151, 9424, 29771, 42023, 170479, 21106, 7611, 43449, 54260, 1982, 12483, 45521, 16803, 4, 6, 238144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1644, 7369, 119055, 77188, 6235, 506, 21106, 96986, 2205, 6, 99766, 3120, 34654, 4151, 1982, 54260, 14004, 8903, 119718, 29766, 34709, 12483, 56170, 39340, 506, 33716, 4, 4838, 9424, 29771, 42023, 42542, 220224, 1211, 4838, 144532, 61397, 23174, 13845, 2882, 3120, 1470, 75230, 2702, 7201, 75230, 1644, 17310, 4, 92500, 81444, 4667, 43449, 54260, 1982, 12483, 45521, 16803, 4, 95298, 95455, 364, 186955, 42493, 6, 68558, 4838, 657, 48904, 8903, 9424, 54260, 2882, 4, 2200, 4151, 36723, 76216, 1211, 119055, 77188, 7265, 4151, 9424, 54260, 2882, 657, 75230, 4852, 5, 63864, 170355, 4944, 12483, 152, 1285, 364, 75230, 22426, 2882, 63864, 170355, 30750, 3056, 60118, 54260, 20260, 54260, 2882, 5, 55242, 46244, 6235, 26394, 46244, 18415, 14856, 110970, 12483, 40653, 6, 136108, 54260, 2702, 18640, 6, 101328, 46244, 6, 186955, 220224, 49008, 32054, 54260, 3120, 112216, 101328, 144295, 5, 8947, 186145, 23741, 55242, 1644, 96986, 56170, 37640, 193338, 42023, 6, 101328, 46244, 5, 7508, 54260, 110317, 12483, 1285, 9424, 54260, 506, 59461, 7265, 4838, 9424, 29771, 42023, 75578, 105235, 1644, 9424, 238144, 84475, 29434, 54260, 874, 39083, 193012, 32792, 7265, 4838, 221067, 1211, 6, 105515, 22426, 54260, 16803, 4, 2200, 21776, 195054, 195164, 18640, 27702, 46464, 4944, 12483, 4838, 6428, 35596, 34533, 4, 119055, 29060, 45223, 55823, 1211, 1470, 75230, 114349, 54260, 20315, 1211, 4838, 112216, 101328, 144295, 5, 1982, 26612, 506, 183512, 1644, 17310, 12, 14856, 6, 94741, 63020, 1470, 75230, 7201, 22426, 59929, 12483, 230764, 34654, 9424, 54260, 506, 59461, 5, 4151, 57277, 33716, 23173, 199145, 6, 235210, 13845, 2882, 7746, 6, 68558, 230764, 1285, 9424, 54260, 506, 59461, 65146, 3120, 9424, 54260, 2882, 3069, 9424, 54260, 2882, 120202, 8903, 3131, 75230, 47332, 119055, 6093, 12483, 3120, 4838, 6428, 35596, 34533, 5, 163139, 123736, 23741, 95455, 170479, 163139, 35189, 506, 39083, 2882, 119055, 6093, 12483, 4, 159696, 16747, 29060, 7746, 6, 68558, 6, 63188, 12483, 10339, 21106, 2819, 123736, 23741, 2865, 39083, 3056, 3523, 75230, 15231, 2932, 36324, 4151, 6428, 35596, 34533, 170479, 2442, 54260, 110317, 12483, 1285, 9424, 54260, 506, 59461, 3120, 6, 57277, 33716, 23173, 234917, 874, 39083, 4838, 6, 101328, 46244, 5, 114955, 170479, 12483, 7746, 2808, 54260, 5666, 8903, 159696, 506, 171428, 3069, 10213, 93509, 96986, 1285, 9424, 54260, 506, 59461, 6, 87311, 95064, 16667, 2200, 125523, 10676, 8947, 12483, 5, 95766, 10339, 21106, 3120, 4838, 30109, 48904, 15307, 54260, 2882, 6, 48775, 63020, 7508, 6093, 81444, 20911, 29766, 51678, 27702, 29659, 710, 51723, 3120, 119055, 23173, 49008, 8947, 37826, 7746, 6, 139449, 1285, 132025, 105235, 4484, 17310, 5, 6, 47351, 137, 37016, 49268, 29789, 155, 163825, 3120, 1285, 9424, 54260, 506, 59461, 95766, 101251, 1982, 93704, 23174, 2882, 3523, 75230, 15231, 2932, 4, 40653, 506, 75230, 22426, 2882, 2205, 895, 16932, 4113, 14856, 110970, 12483, 5, 2205, 6, 54260, 23405, 123073, 16580, 83182, 220224, 49008, 1285, 16175, 171433, 212413, 2050, 14856, 46244, 123073, 874, 39083, 4151, 34482, 3131, 80453, 17310, 3120, 132025, 105235, 4484, 17310, 5, 1065, 113252, 268, 162982, 35189, 10339, 26612, 123559, 12483, 2648, 218241, 205416, 46685, 20911, 1285, 74806, 119718, 9221, 12483, 15, 34079, 20260, 109316, 46654, 37016, 12483, 16, 564, 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 ]
[ 34654, 119055, 29766, 34709, 12483, 69355, 6, 144295, 25603, 16175, 75230, 18415, 564, 92605, 8300, 54260, 506, 59461, 5, 1470, 54260, 59461, 37826, 4838, 137, 25616, 75230, 1211, 2004, 35189, 9424, 238144, 16932, 64769, 23093, 186955, 4838, 23847, 75230, 36419, 84087, 17310, 5, 46685, 20911, 1285, 564, 54260, 1211, 2808, 75230, 2702, 26394, 46244, 17310, 1982, 54260, 1285, 119055, 29766, 34709, 12483, 3120, 564, 54260, 20315, 2882, 75230, 18415, 9424, 54260, 506, 59461, 4, 1470, 54260, 59461, 3120, 159696, 1644, 107581, 364, 186955, 130170, 4838, 16175, 54260, 1644, 69355, 6, 216501, 5, 34654, 6, 238144, 36419, 657, 45619, 13159, 4852, 54260, 49008, 132025, 8903, 46590, 18415, 213909, 21106, 12483, 5, 7972, 20260, 2702, 12, 6, 47351, 1470, 54260, 16932, 8903, 3131, 119718, 9221, 132, 34079, 20260, 13845, 6093, 16175, 54260, 1644, 16, 564, 54260, 34654, 119718, 29766, 34709, 12483, 3120, 1285, 4113, 39293, 9424, 238144, 16175, 75230, 18415, 9424, 54260, 506, 59461, 5, 1470, 54260, 59461, 3056, 26612, 67826, 23741, 36723, 76216, 1211, 5, 2442, 91595, 2702, 12, 28415, 20911, 1285, 564, 54260, 1211, 2808, 75230, 2702, 26394, 46244, 17310, 564, 54260, 1285, 119055, 29766, 34709, 12483, 4, 40653, 506, 75230, 22426, 2882, 2205, 21776, 2050, 7265, 13845, 80885, 1211, 9424, 29771, 42023, 5, 13159, 2205, 10184, 13845, 216333, 6, 23173, 75230, 2702, 13342, 3131, 5666, 54260, 20315, 1211, 1285, 16175, 171433, 212413, 2702, 4, 2200, 44064, 76961, 9424, 54260, 506, 59461, 4, 2808, 54260, 35189, 3069, 4151, 212484, 12483, 36324, 2181, 170479, 7746, 6, 35596, 119718, 7682, 1644, 12483, 4838, 3069, 105235, 189623, 25207, 30109, 48904, 15307, 54260, 2882, 5, 62808, 119055, 109316, 1211, 81444, 2205, 234917, 119055, 6093, 16932, 4151, 87311, 49008, 1470, 54260, 7511, 8903, 34482, 3131, 80453, 23174, 149010, 132025, 105235, 4484, 109226, 199145, 119055, 109316, 1211, 45223, 55823, 1211, 27702, 23847, 54260, 55823, 1211, 1285, 7369, 16667, 158652, 54260, 2882, 3120, 6, 144295, 104149, 64769, 8580, 5, 35596, 10918, 16747, 109226, 3120, 364, 23173, 26394, 1211, 15, 141943, 218241, 23173, 94741, 710, 92178, 16, 2648, 120467, 3056, 4838, 6, 119859, 129891, 123736, 23741, 4113, 224220, 22426, 7972, 138194, 17310, 3120, 21776, 119718, 101296, 147502, 12483, 10184, 75578, 4, 2200, 3056, 26612, 1285, 25207, 146873, 34482, 170355, 107581, 3120, 123736, 48974, 48904, 152185, 364, 23173, 8580, 25616, 48904, 15307, 54260, 2882, 5, 3120, 114955, 199145, 85465, 200117, 12483, 6235, 506, 40096, 21776, 119718, 101296, 147502, 12483, 10184, 75578, 4, 151614, 1982, 12483, 4948, 5757, 3120, 220224, 3373, 159390, 3120, 364, 23173, 7611, 35596, 10918, 16747, 17310, 5, 6, 159696, 46244, 35596, 1285, 141879, 10184, 6093, 105780, 6293, 6, 101328, 46244, 37826, 7746, 34654, 30109, 48904, 15307, 54260, 57277, 3373, 4667, 56170, 21733, 54260, 59461, 2882, 5, 95455, 3056, 4151, 7201, 23173, 199145, 1285, 14856, 10069, 10918, 5666, 40697, 163139, 2702, 43178, 95494, 23741, 7201, 23173, 105235, 506, 2882, 1751, 75230, 1211, 137765, 1285, 56170, 12890, 16747, 17310, 9424, 119718, 40697, 1211, 4151, 30109, 48904, 15307, 54260, 2882, 2200, 30109, 48904, 39340, 16175, 171433, 212413, 2702, 84475, 9424, 54260, 506, 59461, 5, 171433, 105235, 4484, 17310, 8300, 216510, 2702, 119861, 23269, 7201, 48775, 710, 92178, 15, 1982, 48775, 15907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26, 2702, 1285, 4852, 15533, 16, 69355, 34654, 364, 35596, 84475, 6, 131445, 4, 3120, 193042, 710, 29060, 125897, 4, 84475, 44064, 657, 29771, 48788, 54260, 2932, 29771, 15, 506, 42733, 96986, 159696, 506, 97634, 2932, 247, 199145, 3056, 4838, 6, 56052, 21776, 119718, 2865, 40096, 78653, 3120, 34654, 75851, 21733, 12483, 5, 26612, 17824, 75230, 36419, 14856, 506, 17800, 54260, 2882, 3120, 23050, 7201, 48775, 710, 92178, 7201, 21106, 12483, 2205, 114955, 1751, 57277, 63532, 3120, 171433, 8903, 105235, 146873, 16175, 171433, 212413, 2050, 4, 234917, 3120, 220224, 125523, 4838, 120439, 23173, 710, 40096, 71512, 171433, 15907, 37016, 17310, 69355, 1285, 16175, 171433, 212413, 2702, 5, 2205, 82977, 710, 29766, 75290, 117902, 16803, 23847, 16870, 4852, 74774, 15907, 151614, 150349, 15907, 21106, 6, 48775, 23093, 18225, 710, 16870, 12483, 192544, 199145, 37826, 23050, 7201, 48775, 710, 92178, 7746, 6, 212484, 12483, 6, 23173, 75230, 2702, 3131, 5666, 54260, 20315, 1211, 1285, 16175, 171433, 212413, 2702, 165592, 75230, 9915, 13845, 163139, 4151, 3069, 29659, 183512, 7369, 1644, 75230, 47332, 8947, 5, 132025, 8903, 105235, 146873, 9424, 54260, 506, 59461, 220224, 49008, 2808, 75230, 4667, 56170, 84577, 119718, 99766, 32792, 56170, 23050, 7201, 48775, 710, 92178, 5, 238144, 16932, 4113, 34482, 3131, 80453, 23174, 149010, 132025, 105235, 4484, 109226, 220224, 49008, 152, 24012, 6093, 12483, 25616, 48904, 15307, 54260, 2882, 4, 22426, 26612, 17645, 71804, 710, 92178, 4, 292, 15, 24621, 46244, 80885, 16667, 4838, 114955, 25616, 48904, 15307, 54260, 2882, 247, 82977, 48775, 710, 92178, 364, 42733, 96986, 159696, 506, 97634, 2932, 15, 96743, 175323, 29060, 125897, 247, 2200, 21776, 119718, 2865, 26632, 78653, 5, 96951, 48775, 710, 92178, 2200, 193042, 17645, 46545, 16870, 17645, 39293, 3069, 29659, 183512, 12483, 220224, 49008, 36324, 75230, 4838, 122868, 63593, 54260, 1211, 2200, 119055, 6093, 12483, 36324, 75230, 657, 54260, 40920, 1470, 75230, 2702, 8903, 506, 54260, 21295, 125523, 10676, 163139, 18225, 37826, 27702, 506, 183512, 13845, 2882, 1285, 34482, 3131, 80453, 23174, 149010, 132025, 13497, 37016, 17310, 4, 2648, 120467, 8947, 43449, 54260, 47332, 42493, 14856, 46244, 6319, 54260, 1211, 3373, 182002, 36324, 220224, 220224, 49008, 8947, 1285, 34482, 170355, 107581, 4151, 69355, 5, 96951, 48775, 710, 92178, 3120, 16175, 171433, 212413, 171433, 105235, 4484, 17310, 3056, 55242, 46244, 4838, 122868, 63593, 54260, 1211, 4838, 68550, 21776, 2050, 364, 21106, 4852, 2200, 113687, 16932, 2702, 5, 4838, 160238, 30473, 40920, 93975, 1470, 75230, 2702, 7201, 29766, 3131, 17310, 119055, 29060, 45521, 16803, 13497, 6093, 12483, 36324, 56170, 26, 1211, 82977, 48775, 710, 92178, 3056, 6235, 23269, 42023, 4838, 132025, 68566, 6293, 3120, 16175, 171433, 21087, 71804, 710, 92178, 84475, 37922, 7916, 47526, 710, 106504, 54260, 2882, 3120, 364, 21106, 4852, 5, 171433, 8903, 105235, 146873, 9424, 54260, 506, 59461, 220224, 49008, 14856, 46244, 6235, 5666, 75230, 98833, 3069, 56170, 63864, 170355, 4944, 12483, 4838, 24012, 48775, 710, 92178, 5, 119718, 15907, 119273, 48904, 7611, 15, 88660, 25207, 26612, 16, 26612, 874, 54260, 2648, 109316, 3120, 4838, 68550, 3523, 54260, 1211, 6, 101328, 46244, 37826, 6, 113889, 4944, 208048, 16747, 6235, 7972, 96986, 3120, 132025, 68566, 55823, 69355, 16175, 171433, 212413, 119221, 2819, 2200, 9213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25207, 16175, 171433, 212413, 2702, 220224, 49008, 43449, 75230, 4852, 16175, 54260, 1644, 238144, 4852, 6, 23173, 75230, 2702, 8903, 117260, 96986, 6235, 119718, 29766, 12483, 4, 119055, 16870, 186461, 14856, 10339, 147713, 2882, 6, 23093, 2884, 7265, 1470, 54260, 7511, 8903, 6, 101328, 46244, 98252, 5, 3069, 10184, 6093, 26394, 42023, 6, 101328, 46244, 3056, 22753, 6319, 48775, 20260, 6235, 119718, 29766, 12483, 230764, 163139, 105439, 57277, 129891, 2819, 6, 29060, 119718, 120467, 145813, 29060, 150839, 29771, 1982, 12483, 7746, 6, 35596, 119718, 125897, 21295, 125523, 221895, 224220, 22426, 54260, 138194, 109226, 15, 2442, 75230, 18415, 4, 6235, 15907, 119718, 39083, 65482, 29659, 123329, 364, 75230, 2882, 247, 2200, 7265, 9424, 238144, 6, 101328, 46244, 1751, 109636, 16932, 3056, 22753, 74806, 205416, 1982, 12483, 3120, 4838, 122868, 63593, 54260, 59461, 132025, 105235, 4484, 17310, 5, 26612, 9424, 238144, 16932, 112216, 10918, 35596, 4, 4838, 874, 54260, 20315, 1644, 3120, 3523, 54260, 57619, 20616, 1211, 6, 101328, 46244, 37826, 3069, 22753, 4113, 1982, 12483, 101328, 46244, 6, 186955, 6235, 7972, 96986, 3120, 4838, 186046, 21106, 15533, 3120, 4151, 130154, 6093, 220224, 2882, 6, 159696, 46244, 35596, 4838, 6, 101328, 46244, 5, 2648, 120467, 3056, 6, 113889, 4944, 8903, 7201, 39083, 98833, 6235, 119718, 29766, 12483, 3120, 163139, 18415, 16803, 48904, 8580, 6, 159696, 46244, 35596, 9424, 238144, 6, 101328, 46244, 5, 3069, 39293, 4944, 26394, 42023, 6, 101328, 46244, 3056, 22753, 132025, 8903, 68566, 55823, 1211, 6235, 119718, 29766, 12483, 3120, 4151, 137, 68566, 22426, 2004, 2200, 4151, 113889, 4667, 119718, 710, 35189, 6, 75322, 39083, 3120, 163139, 18415, 16803, 48904, 8580, 4, 6, 159696, 46244, 35596, 101251, 8903, 55823, 46244, 29434, 54260, 6, 101328, 46244, 5, 95298, 165592, 75230, 4269, 18167, 163139, 18225, 37826, 6235, 57619, 32792, 564, 165592, 54260, 2882, 41595, 9213, 506, 25207, 16175, 171433, 212413, 2702, 3056, 22753, 58571, 54196, 8903, 119718, 29766, 12483, 3120, 21776, 2050, 163139, 18415, 16803, 48904, 8580, 4, 37826, 23050, 3111, 51723, 6235, 119718, 710, 49008, 2205, 6235, 119718, 710, 40920, 4, 2200, 68313, 10339, 39083, 29659, 186797, 203013, 6235, 119718, 29766, 12483, 5, 4484, 71577, 15907, 13845, 2678, 39340, 16667, 93497, 220224, 49008, 74806, 119718, 9221, 12483, 3120, 4838, 55242, 46244, 17288, 160687, 8903, 1211, 4, 1470, 54260, 23405, 79238, 22426, 23173, 96986, 9934, 99766, 5, 4852, 54260, 220224, 49008, 2190, 127209, 29766, 101296, 28726, 132025, 119718, 10705, 13805, 12483, 6, 159696, 207650, 6, 35596, 119718, 710, 25616, 12483, 7746, 2205, 1285, 6235, 159696, 1982, 12483, 69355, 6, 75290, 149364, 5, 76961, 74806, 119718, 9221, 12483, 220224, 49008, 6, 35596, 159696, 2442, 6093, 107189, 20315, 4, 84475, 7369, 16667, 18415, 5, 1285, 6093, 16667, 18415, 4, 6, 29766, 6093, 564, 54260, 39293, 15, 24621, 186461, 5666, 35596, 16, 220224, 49008, 55242, 46244, 6235, 55823, 46244, 32792, 4, 2200, 51678, 7201, 23173, 63864, 170355, 4944, 12483, 10676, 16175, 75230, 2882, 4, 3373, 54260, 20315, 1211, 14856, 9915, 54260, 2648, 2882, 220224, 1470, 75230, 2702, 5, 39340, 16667, 6093, 3056, 6, 47351, 7369, 16667, 18415, 4, 64699, 151614, 110968, 23405, 2702, 101328, 39293, 116486, 130929, 2050, 56170, 4151, 21422, 119718, 15350, 15533, 9221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16932, 6, 159696, 21295, 5, 2181, 364, 186955, 7746, 2205, 1470, 54260, 1211, 56170, 24621, 46244, 12483, 3120, 6, 101328, 46244, 3069, 6, 101328, 46244, 5, 95766, 33418, 220224, 49008, 3120, 6319, 172398, 6093, 74806, 205416, 1982, 12483, 12069, 3120, 177274, 2445, 4, 3559, 14856, 110970, 12483, 2819, 95766, 38222, 220224, 49008, 1751, 75230, 1211, 74806, 205416, 1982, 12483, 9199, 3120, 177274, 2445, 4, 3559, 14856, 110970, 12483, 5, 55242, 13805, 22426, 90848, 8300, 35596, 3120, 76961, 16175, 75230, 18415, 5666, 7201, 21106, 12483, 220224, 49008, 3120, 6319, 172398, 6093, 5, 39340, 16667, 6093, 42542, 1470, 75230, 2702, 8903, 506, 54260, 21295, 119055, 6093, 12483, 5, 7508, 6093, 101251, 21847, 7682, 3056, 133190, 199145, 6319, 172398, 6093, 159696, 33716, 4151, 4484, 35596, 119055, 12483, 8947, 3056, 1751, 75230, 1211, 36324, 75230, 6, 238144, 2882, 56170, 240863, 12483, 4, 95455, 2181, 3056, 101251, 190386, 18167, 1470, 30682, 6235, 57619, 32792, 1470, 75230, 2702, 13342, 3131, 5666, 54260, 20315, 1211, 4, 40653, 506, 75230, 22426, 2882, 119055, 12483, 7369, 6, 68566, 23741, 6, 68558, 34654, 15231, 55823, 6, 29766, 119859, 49008, 3120, 6, 75290, 149364, 5, 10184, 123073, 221895, 199145, 4151, 4484, 171428, 1751, 75230, 1211, 44064, 10676, 39340, 16667, 6093, 2205, 9424, 54260, 2882, 4, 56170, 76776, 10813, 13159, 93975, 1211, 2181, 4, 6, 238144, 1644, 220224, 6428, 135118, 12483, 36324, 6319, 172398, 6093, 3056, 10705, 99895, 9221, 1982, 23173, 5, 7508, 6093, 88771, 3056, 95298, 36324, 18225, 37826, 1470, 75230, 2702, 8903, 73486, 54196, 10184, 109316, 6319, 172398, 6093, 2050, 4, 2200, 36324, 125523, 14856, 46244, 119055, 39083, 96986, 58571, 54196, 6235, 119718, 29766, 12483, 4, 119055, 12483, 14856, 119055, 39083, 2882, 6235, 212484, 12483, 119718, 21292, 12483, 21776, 2050, 81444, 20911, 29766, 2205, 9424, 54260, 2882, 5, 63864, 170355, 4944, 12483, 226112, 8580, 4151, 101251, 8903, 506, 54260, 6093, 6093, 1470, 75230, 2702, 7201, 29766, 3131, 17310, 199145, 18225, 37826, 6235, 101296, 40920, 4, 37826, 51723, 125523, 95298, 7508, 6093, 238144, 28726, 42493, 5332, 120580, 87442, 34654, 6235, 5666, 75230, 4113, 34482, 170355, 107581, 3120, 6319, 172398, 6093, 5, 35189, 4838, 33716, 17190, 1982, 12483, 3120, 1285, 21422, 119718, 15350, 15533, 9221, 18415, 6, 61541, 75290, 37826, 6235, 119718, 21292, 5332, 22426, 13159, 3069, 6, 23093, 2884, 144754, 6319, 172398, 6093, 4, 6, 238144, 1644, 6319, 172398, 6093, 3056, 4838, 55242, 46244, 55242, 21295, 65482, 7369, 54260, 17171, 5666, 5666, 564, 54260, 6, 80453, 52480, 111179, 159696, 7508, 59929, 12483, 4, 163139, 34654, 6, 75322, 89184, 78683, 59461, 22639, 10069, 48904, 6093, 4, 160751, 75230, 2442, 65482, 4838, 94626, 78683, 59461, 4, 34654, 136368, 87311, 2702, 12483, 4, 2200, 1285, 1470, 54260, 5666, 119718, 2808, 75230, 59461, 3120, 4074, 23269, 2200, 22639, 10069, 4113, 6, 159696, 195164, 364, 75230, 22426, 48253, 22426, 54260, 4852, 3056, 609, 76179, 506, 5, 8947, 3056, 6428, 23173, 88680, 6, 203749, 13456, 3069, 6428, 135118, 12483, 36324, 95455, 40653, 13159, 12483, 4, 8947, 12483, 10184, 13845, 21066, 54260, 3131, 4, 81414, 20260, 12483, 6, 21106, 88660, 506, 39083, 4, 6, 23093, 4113, 4113, 4, 6, 88660, 55823, 4, 7508, 75230, 4944, 12483, 6, 57277, 1982, 92605 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2200, 10184, 4852, 40697, 1470, 75230, 18415, 15231, 2932, 4484, 54260, 2882, 3120, 21422, 119718, 15350, 15533, 9221, 18415, 14856, 110970, 12483, 220224, 49008, 10339, 129071, 29766, 12483, 199145, 45223, 55823, 1211, 56170, 20961, 905, 170355, 4944, 12483, 1285, 6, 90848, 30473, 8903, 30109, 48904, 15307, 54260, 2882, 5, 10069, 130170, 46464, 4944, 17310, 6, 64260, 27702, 119718, 710, 104149, 36324, 177274, 6, 71804, 128083, 75230, 6093, 152848, 1470, 75230, 22680, 4113, 2932, 17310, 4, 29771, 35189, 27855, 158548, 17310, 3120, 1285, 6235, 159696, 1982, 12483, 3120, 6, 75290, 149364, 4, 37826, 10184, 13845, 3069, 6, 23093, 2884, 7265, 6319, 172398, 6093, 5, 4838, 75386, 564, 54260, 3131, 22426, 710, 13845, 4151, 69355, 3056, 564, 233364, 13497, 36324, 4838, 4944, 147455, 116486, 8300, 35596, 3120, 1285, 199145, 85465, 200117, 12483, 6319, 172398, 6093, 230764, 4151, 3944, 22426, 4, 7508, 75230, 4944, 12483, 4838, 3944, 15096, 39340, 5, 2808, 75230, 114349, 54260, 2648, 17310, 2200, 58571, 9221, 17310, 149364, 4852, 43178, 149010, 11211, 46677, 23269, 3056, 55242, 46244, 163139, 40920, 18640, 40611, 1470, 75230, 2702, 13342, 2865, 54260, 20315, 1211, 4838, 6319, 172398, 6093, 5, 905, 65482, 57277, 12415, 48904, 6093, 145813, 54260, 4852, 4, 3069, 235210, 12483, 7265, 7544, 66317, 4, 3056, 10184, 13845, 216333, 1470, 54260, 35189, 46654, 54260, 3131, 5, 1065, 150197, 268, 10069, 6319, 172398, 6093, 8903, 7201, 26612, 46244, 155420, 24621, 6, 94741, 63020, 7746, 1470, 75230, 4667, 1470, 75230, 51437, 710, 96986, 3120, 40653, 13159, 12483, 4, 2200, 3120, 6235, 13458, 75230, 4944, 12483, 6, 21106, 88660, 506, 39083, 4, 6, 57277, 1982, 92605, 2200, 3069, 10184, 13845, 22753, 36419, 6, 170355, 4944, 12483, 2819, 14856, 170479, 23050, 506, 51723, 34654, 3523, 75230, 15231, 8903, 6, 87311, 36419, 13805, 93497, 26612, 15533, 230764, 4151, 32054, 54260, 6093, 9181, 23741, 5, 29771, 75578, 44064, 1285, 4113, 39293, 174538, 12483, 220224, 49008, 42493, 6235, 3111, 2932, 6235, 57619, 32792, 1470, 75230, 2702, 13342, 2865, 54260, 20315, 1211, 115222, 50856, 101608, 4, 2200, 125523, 119055, 76632, 61397, 1470, 75230, 2702, 73486, 9221, 12483, 4838, 6319, 172398, 6093, 5, 148932, 74806, 119718, 9221, 4, 3373, 54260, 107189, 35189, 4, 3373, 54260, 564, 54260, 168155, 4, 170479, 6235, 57619, 32792, 6, 23173, 75230, 2702, 8903, 117260, 96986, 119055, 6093, 12483, 36324, 75230, 9915, 13845, 163139, 178748, 32792, 5, 177274, 119055, 10705, 16747, 230764, 7508, 6093, 364, 75230, 2882, 4, 6, 29766, 6093, 230764, 7508, 6093, 620, 54260, 2050, 506, 75230, 2882, 4, 199145, 56170, 506, 54260, 21295, 7746, 42493, 9915, 13845, 4, 170479, 4074, 15529, 163354, 27702, 506, 183512, 13845, 2882, 119055, 6093, 12483, 1470, 75230, 1982, 8947, 3056, 42493, 218241, 54260, 1211, 4838, 83182, 7265, 13845, 220224, 9915, 13845, 1470, 75230, 2702, 13342, 506, 54260, 1644, 12483, 5, 10069, 6, 29766, 119859, 49008, 199145, 119055, 6093, 12483, 132025, 8903, 68566, 55823, 1211, 35189, 4838, 122868, 63593, 54260, 16667, 16932, 2200, 1470, 75230, 4667, 6235, 55823, 46244, 7972, 4944, 82576, 6, 99766, 3120, 6319, 172398, 6093, 4, 3056, 35189, 6, 87311, 8903, 1211, 5, 9424, 119718, 40697, 1211, 1285, 16175, 75230, 18415, 5666, 7201, 21106, 12483, 3120, 6319, 172398, 6093, 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 ]
[ 874, 114436, 4, 220224, 49008, 5896, 5757, 69355, 6, 87311, 8903, 1211, 2819, 2205, 32054, 75230, 12483, 138, 43243, 5, 1381, 5039, 3120, 6319, 172398, 77188, 75230, 18415, 5666, 7201, 21106, 12483, 2205, 32054, 75230, 12483, 4852, 54260, 49008, 3120, 21776, 2050, 7038, 16932, 1644, 54260, 1982, 2200, 1285, 221895, 74806, 1644, 91595, 149010, 16175, 54260, 1644, 12483, 4, 2200, 119386, 4852, 54260, 49008, 3120, 7508, 6093, 9721, 71616, 5, 6319, 172398, 6093, 230764, 4151, 364, 75230, 2882, 3056, 9424, 238144, 874, 39083, 123736, 7201, 16932, 2205, 2865, 114436, 1470, 54260, 35189, 2205, 32054, 75230, 12483, 4, 119055, 26612, 506, 93509, 54260, 5666, 32792, 4151, 7201, 23173, 199145, 874, 114436, 220224, 49008, 14856, 46244, 23173, 75230, 2702, 190135, 3069, 4151, 8248, 49008, 3131, 54260, 1211, 2200, 3069, 364, 75230, 153222, 215206, 109226, 1470, 54260, 35189, 32054, 75230, 12483, 5, 39340, 16667, 6093, 3120, 874, 75230, 1644, 2200, 3944, 109636, 1211, 3056, 6, 105780, 6293, 874, 39083, 123736, 7201, 16932, 2205, 874, 114436, 1470, 54260, 35189, 2205, 22680, 75230, 12483, 4, 6235, 119718, 21292, 4151, 7201, 23173, 199145, 874, 114436, 6235, 13458, 75230, 4944, 12483, 14856, 46244, 6, 57277, 1982, 92605, 2200, 1285, 3944, 15096, 39340, 5, 226112, 155, 1211, 10676, 199145, 34654, 27702, 61541, 75290, 17310, 27702, 105235, 506, 2882, 3120, 14856, 46244, 874, 114436, 1470, 54260, 35189, 22680, 75230, 12483, 4, 43649, 23173, 1982, 12483, 81444, 4667, 14856, 46244, 80839, 12483, 3120, 6319, 172398, 6093, 1470, 54260, 35189, 874, 114436, 2819, 8947, 29659, 23173, 1982, 12483, 23050, 2865, 32792, 3120, 76961, 6319, 172398, 6093, 16175, 75230, 18415, 5666, 7201, 21106, 4113, 6, 197742, 32054, 75230, 12483, 2200, 1112, 15770, 2865, 114436, 5, 6428, 23173, 8580, 3056, 131397, 215206, 1285, 17824, 75230, 36419, 9424, 39083, 6319, 172398, 93497, 3120, 21776, 2050, 7038, 16932, 1644, 54260, 25491, 2884, 3120, 7508, 6093, 9721, 71616, 564, 54260, 32054, 75230, 12483, 5, 35189, 116486, 8300, 35596, 16175, 75230, 96986, 7201, 21106, 12483, 3120, 6319, 172398, 6093, 3120, 1285, 56170, 3131, 54260, 2648, 65482, 29766, 119859, 49008, 3120, 10676, 6, 75290, 149364, 22426, 90848, 8300, 35596, 3120, 76961, 6319, 172398, 6093, 16175, 75230, 18415, 5666, 7201, 21106, 12483, 2865, 75230, 1644, 2200, 3944, 109636, 1211, 1468, 1468, 1468, 1468, 1468, 1468, 6, 5, 6, 5, 1468, 6, 109981, 87311, 8903, 1211, 6, 5, 153, 5, 710, 27, 1468, 14594, 710, 11585, 418, 119859, 79671, 16870, 123073, 6, 5, 1468, 4231, 6, 5, 6, 5, 1468, 6, 5, 61397, 6093, 448, 6, 5, 1468, 1468, 1468, 6, 5, 1468, 1468, 6, 5, 6, 5, 5035, 418, 90848, 2050, 7038, 16932, 1644, 54260, 1982, 1468, 1468, 1468, 1468, 1468, 6, 5, 6, 5, 1468, 6, 5, 1468, 6370, 418, 13458, 71616, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 3569, 418, 506, 75230, 2882, 1468, 1468, 1468, 1468, 1468, 153, 5, 1468, 1468, 1468, 1468, 6, 102738, 183512, 123073, 16175, 54260, 1644, 12483, 1468, 1468, 6, 5, 1468, 1468, 1468, 1468, 7245, 418, 3559, 87311, 8903, 1211, 12, 6319, 172398, 6093, 2205, 6, 87311, 8903, 1211, 3056, 6, 29060, 119718, 120467, 123736, 7201, 16932, 2205, 874, 114436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]