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

input_ids listlengths 512 512	attention_mask listlengths 512 512
[ 7746, 95455, 119055, 99766, 37271, 232187, 5666, 78653, 155, 14856, 46244, 230764, 1285, 168155, 6, 80453, 129071, 125897, 4, 163139, 230764, 4151, 55242, 22849, 2702, 103955, 211630, 18640, 17310, 4, 119055, 13845, 107581, 364, 54260, 16803, 6319, 29766, 87442, 6093, 67882, 126934, 68697, 26612, 10918, 68558, 4, 238144, 1644, 137, 232187, 5666, 78653, 155, 1751, 57277, 63532, 3120, 10676, 12023, 17160, 40697, 1211, 22753, 83182, 119055, 13845, 4944, 12483, 4269, 64260, 506, 64260, 564, 35596, 90848, 23741, 56170, 2190, 5666, 7201, 39083, 13497, 186797, 12483, 6, 59919, 39340, 46244, 5, 15, 119718, 710, 6, 225975, 2882, 29434, 5, 7972, 22426, 2882, 54260, 705, 137, 97594, 144581, 104238, 238144, 39293, 4, 4269, 64260, 37826, 6235, 94114, 12483, 220224, 1211, 874, 54260, 3111, 23405, 3120, 710, 114436, 9424, 54260, 2882, 6, 68558, 4, 6, 238144, 1644, 182261, 21923, 81444, 36324, 75230, 10184, 109316, 6, 113889, 4944, 7201, 39083, 61397, 3120, 112711, 1211, 4, 36324, 4, 119055, 12483, 4269, 64260, 163139, 1644, 220224, 76961, 1470, 75230, 2702, 130734, 26, 171428, 4, 119055, 39083, 2882, 7369, 6235, 2648, 23173, 23741, 85465, 200117, 12483, 4838, 3523, 54260, 46598, 874, 43375, 2909, 16, 18225, 37826, 6, 59919, 159696, 13805, 13845, 2882, 10676, 6, 109995, 3120, 10676, 119718, 99766, 2200, 18225, 6, 225975, 2882, 182261, 123736, 23741, 132025, 48904, 78653, 6, 48904, 29659, 40096, 67882, 126934, 68697, 26612, 10918, 68558, 4, 119055, 13845, 4944, 13159, 3056, 6, 21106, 4852, 29771, 42493, 6, 120749, 18640, 5, 2200, 119055, 12483, 18225, 105884, 2882, 3120, 137, 88660, 7511, 23964, 21106, 12483, 132025, 48904, 78653, 2004, 874, 54260, 13497, 18225, 36324, 4151, 2190, 5666, 7201, 39083, 29659, 186797, 6093, 45521, 24152, 20616, 29025, 119718, 40697, 1211, 6, 133111, 2200, 32054, 75230, 3056, 36324, 75230, 163139, 67882, 126934, 68697, 26612, 10918, 68558, 5, 20632, 4, 95455, 42542, 7511, 2882, 220224, 1211, 88771, 5, 199145, 1751, 93704, 2882, 1470, 54260, 2932, 35596, 32792, 14856, 46244, 80885, 16667, 564, 54260, 4151, 101296, 126934, 68697, 26612, 10918, 68558, 705, 292, 15, 159696, 1211, 8947, 1751, 93704, 2882, 16, 1285, 4838, 110970, 23822, 141847, 17310, 3120, 10676, 35402, 7746, 160238, 13342, 105235, 1644, 12483, 36324, 18225, 37826, 56170, 7746, 4838, 6, 149364, 4852, 68558, 3120, 26, 2050, 221895, 1211, 74806, 1644, 91595, 5, 20632, 4, 95455, 3056, 81444, 4667, 42493, 4151, 10339, 21106, 564, 54260, 2050, 130170, 1982, 90848, 107581, 119132, 6, 88660, 710, 96418, 4, 6, 238144, 1644, 18225, 37826, 81444, 4667, 6, 57277, 39340, 163139, 24152, 32792, 4838, 6, 149364, 4852, 68558, 69355, 26, 2050, 221895, 1211, 74806, 1644, 91595, 5, 18225, 37826, 6, 225975, 23173, 76961, 73095, 13805, 905, 109316, 45521, 48974, 110317, 172398, 199145, 6, 104378, 3120, 10676, 192183, 2882, 129071, 9424, 119718, 40697, 1211, 564, 54260, 20315, 74806, 1644, 91595, 6093, 4, 104985, 7265, 1470, 54260, 1211, 1470, 75230, 2702, 76776, 24621, 152, 199145, 95455, 3373, 149364, 101296, 43449, 54260, 47332, 29434, 75230, 2702, 12483, 5, 2648, 120467, 11211, 83182, 2882, 95298, 6319, 54260, 1211, 874, 39083, 42493, 10676, 123736, 48974, 48904, 78653, 5, 4151, 71107, 2200, 12415, 81444, 20911, 75230, 16847, 199145, 10213, 506, 75230, 22426, 96986, 36324, 4151, 130170, 1982, 90848 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 114436, 6, 59919, 39340, 46244, 68313, 1751, 16870, 32792, 4, 6, 238144, 2702, 12483, 6, 21106, 54260, 1211, 42493, 56170, 199145, 220224, 34076, 75230, 1982, 12483, 8947, 2819, 3373, 26, 68313, 2808, 6, 56052, 4838, 75578, 21847, 75230, 1982, 12483, 5, 874, 48904, 107581, 7369, 8300, 18415, 160751, 12483, 6, 68558, 36324, 1285, 118473, 7972, 4944, 4484, 54260, 158652, 177148, 3120, 10676, 199145, 1285, 6, 29766, 119859, 49008, 4, 132025, 8903, 46590, 2882, 7265, 564, 137119, 37729, 4151, 2808, 75230, 22680, 4113, 2932, 17310, 4, 17190, 215206, 12483, 7746, 42493, 1470, 75230, 2702, 36324, 75230, 9915, 13845, 163139, 119055, 12483, 4151, 6, 129071, 68313, 10339, 39083, 29659, 186797, 5, 95455, 3056, 95298, 42493, 119055, 23173, 3131, 54260, 5666, 32792, 4, 200795, 16667, 238144, 1644, 20033, 55242, 506, 12483, 6319, 54260, 1211, 874, 39083, 42493, 6319, 54260, 1211, 14856, 110970, 12483, 564, 54260, 6, 159696, 51723, 18225, 170479, 4484, 171428, 10213, 238144, 104149, 36324, 8947, 37826, 220224, 74806, 23173, 2882, 5, 9424, 238144, 18415, 16667, 4, 6, 238144, 1644, 4151, 10705, 5666, 7201, 39083, 29659, 186797, 6093, 6, 88660, 710, 96418, 6, 186797, 2882, 7746, 7265, 4838, 6, 120749, 93975, 1211, 123736, 48974, 165592, 2050, 5, 10705, 5666, 7201, 39083, 29659, 186797, 6093, 6, 59919, 39340, 46244, 5, 22377, 13159, 3056, 95298, 178748, 32792, 36324, 8947, 170479, 6, 101328, 220224, 1211, 1751, 16870, 32792, 2205, 1285, 10339, 109316, 119055, 10705, 4, 7201, 23173, 874, 151461, 84475, 37729, 874, 48904, 195054, 2205, 9213, 1982, 17310, 4, 37826, 18225, 36324, 75230, 6, 159696, 110317, 59919, 39340, 46244, 36324, 18225, 6, 105235, 21295, 7746, 220273, 42493, 3069, 211630, 12483, 5, 95455, 3056, 1751, 75230, 1211, 3069, 10705, 5666, 7201, 39083, 29659, 186797, 711, 35189, 32054, 48904, 8300, 75230, 4852, 152185, 1751, 109636, 10918, 21106, 34533, 56170, 32054, 75230, 135118, 48775, 20260, 506, 54260, 96986, 4, 7972, 97634, 15, 8903, 25391, 16011, 12483, 152, 3944, 905, 57277, 41731, 247, 6, 225975, 2882, 152, 2181, 42542, 42493, 6, 199511, 42493, 35189, 32054, 75230, 4, 42493, 10676, 6, 212915, 6319, 54260, 1211, 6, 192539, 17310, 4, 95455, 199145, 4151, 6, 59919, 39340, 46244, 159696, 33716, 130170, 1982, 90848, 4944, 12483, 7265, 4838, 73095, 17494, 152848, 84475, 4838, 117902, 2442, 73095, 17494, 50856, 12483, 7201, 23173, 10676, 6, 235210, 12483, 2808, 75230, 2702, 2932, 21292, 12483, 5, 1470, 75230, 1982, 564, 54260, 4151, 32054, 75230, 107776, 4151, 123736, 48974, 165592, 2050, 2702, 54260, 163139, 3373, 54260, 1751, 109636, 16932, 84475, 40026, 506, 6093, 163139, 564, 54260, 2050, 6, 212915, 4, 163139, 2181, 6, 186145, 23741, 4852, 18167, 123736, 23741, 4838, 46590, 905, 564, 54260, 2050, 10339, 39083, 29659, 186797, 80885, 1211, 6, 59919, 39340, 46244, 4, 292, 42542, 7508, 6093, 6, 235210, 12483, 2808, 75230, 2702, 26217, 2702, 4, 3373, 54260, 22639, 4113, 159696, 110317, 4, 3373, 54260, 29434, 75230, 2702, 12483, 4, 220273, 42493, 6, 192539, 12483, 5, 1470, 75230, 1982, 35189, 123736, 48974, 165592, 2050, 107776, 34076, 54260, 4944, 8300, 54260, 15231, 2932, 564, 54260, 564, 54260, 20315, 4, 3056, 8947, 81444, 4667, 1470, 119718, 2648, 14004, 21847, 54260, 4944, 154739, 15231, 2932, 199145, 8947, 6235, 155697 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7265, 10676, 6, 149364, 101296, 5, 3944, 97634, 107776, 73784, 65577, 36324, 10184, 30473, 39083, 29771, 62073, 3056, 42493, 29771, 6319, 54260, 1211, 130170, 16629, 2648, 9424, 119718, 40697, 1211, 10676, 10339, 39083, 29659, 186797, 12483, 2200, 10676, 130170, 1982, 90848, 107581, 119132, 6, 88660, 710, 96418, 2200, 36324, 1285, 168155, 3056, 7511, 2882, 118473, 32792, 5, 13982, 5, 3944, 22426, 2882, 54260, 6, 225975, 2882, 36324, 95455, 1751, 16870, 149010, 2205, 10676, 2190, 5666, 7201, 39083, 29659, 186797, 12483, 59919, 39340, 46244, 3056, 7508, 6093, 10339, 129071, 199145, 7369, 3056, 10339, 139365, 88917, 12483, 7265, 6, 47351, 4838, 110970, 23822, 141847, 17310, 3120, 10676, 163139, 1644, 12483, 3069, 6, 186797, 12483, 10676, 6, 59919, 39340, 46244, 2205, 10676, 6, 120749, 93975, 1211, 1470, 75230, 8903, 5666, 181615, 5, 95455, 3056, 95298, 1470, 75230, 4667, 42493, 73784, 34076, 75230, 1982, 12483, 4, 6, 238144, 1644, 10069, 39293, 44458, 29659, 2442, 141847, 17310, 119055, 77188, 7265, 4151, 9424, 54260, 2882, 55242, 46244, 6, 59919, 21733, 54260, 59461, 2882, 37729, 10069, 6, 80453, 129071, 125897, 2200, 1285, 6235, 119718, 29771, 29338, 54260, 2882, 5, 13982, 5, 6, 59919, 10069, 2200, 29434, 5, 48494, 76216, 28726, 35189, 151614, 1982, 12483, 130170, 46464, 40920, 10339, 109316, 3120, 24621, 110970, 12483, 199145, 151614, 1982, 12483, 6235, 506, 40096, 4838, 3373, 4667, 6, 101328, 46244, 12483, 2190, 5666, 7201, 39083, 29659, 186797, 12483, 6, 59919, 39340, 46244, 2200, 151614, 1982, 12483, 6235, 7916, 49008, 36324, 8947, 37826, 220224, 220273, 42493, 74806, 93704, 2882, 5, 220224, 30750, 506, 75230, 22426, 96986, 1470, 75230, 4667, 36324, 95455, 3373, 149364, 101296, 3056, 42493, 3523, 75230, 15231, 2932, 9747, 1285, 32054, 75230, 4852, 39083, 151614, 1982, 12483, 4838, 10339, 39083, 29659, 186797, 12483, 45521, 48974, 110317, 12483, 15, 1982, 54260, 6, 47351, 2190, 5666, 7201, 39083, 29659, 186797, 12483, 6, 59919, 39340, 46244, 194, 13982, 5, 119055, 21106, 35596, 26612, 2200, 29434, 5, 874, 172398, 23174, 26612, 9424, 54260, 8903, 1211, 6, 68558, 230764, 30109, 48904, 15307, 54260, 96986, 119718, 120467, 220224, 46711, 54260, 1982, 12483, 3069, 73784, 130170, 1982, 90848, 107581, 119132, 6, 59919, 39340, 46244, 4, 95298, 95455, 4852, 171428, 6150, 13845, 107581, 10339, 109316, 36324, 18225, 42542, 657, 54260, 40920, 6235, 7916, 49008, 221895, 34482, 47709, 4944, 12483, 7201, 23173, 220224, 5, 4836, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 10069, 1751, 16870, 7972, 4944, 4484, 54260, 2882, 3120, 45521, 17800, 15907, 17310, 2702, 9719, 21338, 12483, 69355, 1285, 45521, 93509, 15435, 65482, 174538, 12483, 199145, 119055, 6093, 12483, 6235, 13458, 75230, 40920, 3069, 6, 59919, 87637, 96986, 1751, 119718, 48904, 61397, 95494, 23741, 4, 21923, 874, 48904, 107581, 6235, 101296, 40920, 7265, 45521, 18415, 1751, 97634, 55823, 1211, 2200, 24621, 10069, 78683, 96302, 12483, 2205, 4151, 160238, 2050, 3120, 6, 26394, 22426, 44779, 4, 199145, 1285, 32054, 75230, 657, 35596, 20961, 54260, 1211, 2205, 4151, 1751, 54260, 20315, 56170, 10676, 6, 59919, 39340, 46244, 4, 7265, 10676, 9424, 159696, 4484, 3069, 6, 89930, 3131, 16932, 12483, 10676, 6, 235210, 12483, 5, 1470, 54260, 7511, 8903, 3120, 220224, 4, 73784, 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 ]
[ 3131, 22426, 710, 13845, 1285, 7265, 41643, 90536, 2865, 40096, 15, 26612, 6319, 159696, 215052, 15350, 75578, 24621, 10069, 78683, 96302, 247, 21923, 118473, 32792, 4, 225975, 23173, 6235, 55823, 46244, 32792, 4, 6, 238144, 1644, 4151, 214804, 52480, 40096, 6235, 506, 2882, 6, 23173, 54260, 1211, 2205, 6, 75290, 149364, 103854, 4151, 620, 54260, 7758, 75230, 2882, 2200, 6, 59919, 25222, 23741, 29060, 1285, 32054, 75230, 5, 1285, 58573, 21106, 65482, 2808, 171127, 15529, 96302, 12483, 15, 7511, 2882, 1285, 221895, 16, 199145, 7038, 104149, 43649, 186797, 6, 186461, 12483, 22639, 4113, 159696, 110317, 21923, 1470, 75230, 4667, 1751, 16870, 32792, 5, 1470, 75230, 4667, 1285, 1470, 54260, 110970, 80453, 31623, 109226, 125523, 10676, 59919, 39340, 46244, 7265, 214804, 710, 101296, 21338, 48350, 109226, 84475, 6, 20616, 5666, 149010, 21923, 118473, 32792, 2819, 2808, 54260, 5666, 7201, 26612, 4667, 119055, 59929, 6093, 4, 119055, 12483, 8947, 3056, 6, 119859, 69106, 6319, 186955, 4, 42542, 1470, 75230, 4667, 1751, 93704, 12483, 5, 292, 13159, 119055, 39083, 2882, 70295, 6235, 159696, 1211, 81444, 3069, 564, 174798, 54260, 1982, 12483, 1285, 221067, 4, 2190, 110970, 16870, 149010, 9719, 21338, 12483, 4, 95298, 657, 54260, 35189, 3056, 2181, 2205, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 4151, 238144, 1644, 42493, 7369, 1644, 75230, 47332, 132025, 13342, 8903, 1982, 12483, 6319, 54260, 1211, 69529, 45521, 17800, 15907, 17310, 2702, 9719, 21338, 12483, 5, 20033, 2648, 23173, 55823, 1211, 115222, 2865, 22426, 55823, 1211, 36324, 95455, 170479, 220224, 1211, 7369, 1644, 75230, 47332, 4, 32054, 48904, 4484, 2200, 32054, 54260, 5, 87637, 204403, 150349, 93704, 5594, 710, 204403, 150349, 93704, 710, 3056, 4838, 3069, 29659, 183512, 564, 54260, 119055, 13845, 4944, 12483, 4838, 6, 212915, 119055, 77188, 160751, 75230, 25207, 1211, 7265, 4151, 6, 73381, 43178, 17310, 3120, 10676, 179096, 1211, 4484, 208048, 1644, 7243, 564, 54260, 2050, 5332, 152848, 4, 9934, 29771, 83182, 1211, 230764, 4151, 130170, 3131, 16932, 220224, 2882, 3120, 10676, 115825, 2648, 5, 8947, 21923, 56170, 47351, 59919, 16629, 2648, 65482, 17824, 93704, 12483, 3120, 11211, 204403, 150349, 2808, 10069, 2819, 1285, 6, 73381, 43178, 17310, 42542, 220224, 1211, 64890, 69106, 113889, 506, 35596, 3120, 9213, 46244, 133190, 2865, 21106, 12483, 6, 99766, 4, 6428, 47351, 37826, 8947, 6319, 54260, 1211, 69529, 2190, 22492, 23405, 65482, 24621, 10339, 39083, 8903, 1211, 2819, 22753, 42542, 220224, 1211, 1470, 17310, 73381, 20616, 2442, 2205, 4151, 7265, 4113, 3120, 4151, 1644, 141847, 3120, 10676, 123736, 48974, 47351, 84475, 6, 225975, 23173, 564, 54260, 2050, 130170, 105235, 1211, 5332, 152848, 4, 7243, 238144, 2882, 3120, 1285, 32887, 175483, 1644, 12483, 5, 2205, 34654, 39293, 10339, 109316, 42542, 95455, 34482, 45619, 25207, 1211, 2200, 35189, 74806, 1644, 91595, 149010, 2442, 6, 59919, 39340, 46244, 74806, 16932, 2882, 119055, 6093, 12483, 2819, 8947, 3056, 1470, 75230, 4667, 190386, 18167, 36324, 18225, 170479, 37729, 10676, 42493, 51678, 10213, 141562, 40920, 12483, 1285, 32054, 75230, 4, 6, 238144, 1644, 35189, 6, 235210, 12483, 42542, 42493, 6, 23173, 54260, 1211, 2205, 4151, 1751, 54260, 20315, 2819, 95298, 95455, 65146, 219947, 47783, 220224, 1211, 5, 292, 657, 54260, 35189, 42542 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18225, 3069, 1285, 104149, 3069, 29659, 183512, 220273, 219947, 6, 80264, 4, 4838, 133880, 6, 47351, 120202, 6093, 26612, 10918, 68558, 4, 119055, 13845, 107581, 204982, 7243, 47783, 10676, 160751, 20616, 186955, 65482, 32887, 175483, 1644, 12483, 13556, 119718, 24295, 105235, 1211, 21776, 124740, 2882, 40096, 5, 1285, 120202, 6093, 26612, 10918, 68558, 10213, 105235, 506, 2882, 2205, 10676, 4, 36324, 18225, 101296, 40920, 4838, 6319, 171127, 149010, 1211, 213909, 21106, 84475, 4838, 6, 56052, 6, 216501, 7265, 4151, 364, 75230, 2882, 3120, 20315, 2050, 112216, 10918, 35596, 12483, 5, 1470, 75230, 1982, 18225, 6, 35596, 31249, 34533, 7746, 3069, 1211, 6, 47351, 4838, 149364, 26612, 10918, 68558, 4, 3056, 26612, 10339, 48775, 8903, 119055, 12483, 18225, 170479, 22753, 67882, 4944, 12483, 5, 874, 48904, 107581, 6428, 135118, 12483, 36324, 3373, 26, 68313, 72577, 2648, 120467, 3069, 6, 80264, 2205, 7508, 6093, 40026, 506, 13159, 16932, 192544, 506, 54260, 2882, 2819, 1470, 75230, 1982, 6150, 75230, 4, 185182, 98833, 13159, 123736, 1982, 3120, 10676, 9213, 73375, 8903, 1211, 3069, 29659, 183512, 3120, 21776, 2050, 21374, 50856, 26, 2702, 6, 75290, 149364, 2819, 29771, 75578, 6255, 119055, 39083, 2882, 6235, 90848, 96986, 18225, 170479, 22753, 67882, 4944, 12483, 7369, 29659, 1751, 109636, 16932, 2205, 28726, 1982, 12483, 5, 148346, 20616, 186955, 65482, 32887, 175483, 1644, 12483, 15, 84316, 22426, 205416, 4944, 78653, 16, 95766, 4151, 184639, 9424, 54260, 2882, 3120, 10676, 192544, 26, 2702, 6, 35596, 119718, 7682, 1644, 17310, 2205, 7508, 6093, 101296, 24621, 26, 2702, 6235, 75578, 11556, 16932, 4, 163825, 12483, 7746, 1285, 32887, 175483, 1644, 12483, 2205, 20315, 2050, 192544, 26, 2050, 564, 75230, 4667, 4, 3120, 119055, 48904, 12483, 220224, 43649, 54260, 8903, 1211, 6, 23173, 33104, 16932, 2205, 10676, 131002, 64260, 18340, 4, 2205, 10676, 55242, 39340, 1644, 2205, 119055, 13845, 4944, 12483, 220224, 43449, 54260, 1982, 12483, 56170, 156968, 5, 95455, 6, 23173, 33104, 16932, 29659, 54260, 8903, 1211, 6235, 155697, 2882, 125523, 56170, 7508, 6093, 6235, 28317, 2882, 4, 165592, 75230, 6150, 564, 54260, 1470, 133190, 2865, 21106, 192544, 6235, 7916, 13497, 18225, 6235, 159696, 506, 5666, 32792, 1285, 32887, 175483, 1644, 12483, 230764, 220224, 6093, 6, 120749, 93975, 1211, 6, 99766, 5, 8947, 42542, 7746, 95298, 46711, 73381, 12483, 36324, 10069, 32887, 175483, 1644, 12483, 170479, 12483, 43449, 54260, 1982, 12483, 4, 564, 54260, 20315, 84475, 1470, 54260, 16667, 6, 156325, 220224, 4, 2205, 20315, 2050, 564, 75230, 4667, 84475, 2205, 7508, 6093, 1285, 4667, 4, 130170, 4151, 364, 75230, 2882, 5, 95455, 3056, 1470, 54260, 23269, 3120, 1285, 2190, 5666, 25207, 195054, 195164, 18640, 4484, 54260, 96986, 199145, 6, 104378, 874, 48904, 4944, 13159, 874, 39083, 160238, 95766, 4151, 6, 35596, 119718, 7682, 1644, 17310, 37640, 5666, 26, 1982, 192544, 5, 199145, 4852, 36326, 21923, 1285, 10339, 39083, 8903, 1211, 35189, 69355, 705, 14856, 46244, 80885, 16667, 220273, 7243, 5, 1285, 32887, 175483, 1644, 12483, 51678, 1470, 75230, 96743, 16011, 12483, 220224, 6093, 4838, 68697, 54260, 2882, 6428, 99766, 119055, 10705, 220224, 6235, 7916, 49008, 7746, 5, 220224, 163825, 12483, 6, 204932, 149364, 101296, 97634, 4852, 29771, 12483, 2200, 1285, 39293, 6235, 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 ]
[ 12483, 40653, 2205, 1285, 7369, 16932, 3120, 119055, 48904, 12483, 4852, 54260, 6, 104378, 6, 23173, 75230, 2702, 564, 54260, 2050, 6, 59919, 39340, 46244, 5, 4151, 6, 59919, 39340, 46244, 2200, 1285, 657, 71616, 6, 51220, 59919, 39340, 46244, 119055, 6093, 12483, 1470, 75230, 4667, 7243, 74806, 16932, 2882, 37729, 1285, 4838, 1982, 5666, 29766, 24621, 71804, 8903, 3120, 1285, 32887, 175483, 1644, 12483, 5, 95455, 364, 54260, 16803, 36324, 18225, 6, 94741, 63020, 220273, 7243, 80264, 4151, 13342, 5, 292, 874, 48904, 4944, 2865, 39083, 43649, 54260, 8903, 1211, 1285, 32887, 175483, 1644, 12483, 4838, 90848, 1982, 2205, 1285, 6093, 105235, 73880, 84475, 6, 101328, 46244, 12483, 125523, 4151, 6235, 28317, 2882, 2819, 874, 48904, 4944, 2865, 39083, 43449, 54260, 1982, 12483, 220224, 1470, 75230, 1982, 12483, 95455, 4269, 48904, 26394, 17190, 1982, 12483, 5, 292, 55242, 1644, 96986, 39293, 1644, 96986, 165354, 7746, 67882, 4944, 12483, 36324, 4838, 32887, 175483, 13845, 2205, 4151, 1285, 4667, 170479, 37729, 10676, 7508, 55049, 59919, 63864, 170355, 4944, 12483, 85596, 71945, 84475, 170479, 6319, 48775, 20260, 119055, 6093, 12483, 2200, 18225, 170479, 7746, 12012, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 5666, 54260, 15231, 8903, 1211, 2205, 6, 47351, 120202, 6093, 26612, 10918, 68558, 152, 3069, 6, 199511, 10676, 32887, 175483, 13845, 230764, 20315, 2050, 6, 120749, 93975, 1211, 6, 99766, 84475, 1470, 30682, 6, 23173, 75230, 2702, 13342, 101470, 5, 119718, 23173, 7682, 120467, 13845, 69355, 1285, 32887, 175483, 1644, 12483, 119055, 13845, 107581, 116486, 29257, 138194, 12483, 10676, 6, 212915, 26, 2702, 235210, 12483, 15, 10069, 3373, 149364, 101296, 16, 6, 111684, 33716, 4838, 213909, 21106, 15, 35189, 3373, 149364, 2865, 40096, 152185, 167048, 48904, 2932, 16, 26612, 159696, 4484, 2205, 4151, 364, 75230, 4667, 2819, 3069, 235210, 12483, 7265, 10676, 213909, 21106, 6235, 506, 12483, 1285, 6, 225975, 43178, 84577, 4113, 3373, 149364, 2865, 40096, 40697, 6, 73906, 97634, 35189, 12483, 5, 1285, 39293, 84475, 12483, 51678, 3069, 8300, 54260, 8903, 1211, 119055, 6093, 12483, 2200, 99509, 6093, 119055, 6093, 12483, 7265, 564, 137119, 199145, 6, 138194, 50931, 54196, 7243, 8903, 3111, 2932, 72577, 2819, 220224, 364, 54260, 2702, 12483, 6428, 47351, 119055, 23173, 125897, 39293, 84475, 12483, 92500, 55242, 506, 12483, 1470, 75230, 2702, 163139, 1285, 74806, 119718, 39083, 65482, 84475, 12483, 4, 199145, 46711, 73381, 12483, 7746, 29771, 23741, 230764, 1285, 6, 131445, 2200, 55242, 506, 12483, 1470, 75230, 2702, 163139, 1285, 74806, 119718, 39083, 65482, 84475, 12483, 4, 119718, 120467, 46711, 73381, 12483, 7746, 123736, 23741, 230764, 34654, 6, 131445, 3120, 32054, 75230, 12483, 2200, 3120, 874, 114436, 119718, 120467, 43649, 20616, 12483, 4838, 3373, 4667, 230764, 1285, 6, 131445, 5, 3069, 235210, 12483, 7265, 10676, 6235, 506, 2882, 123736, 23741, 2865, 39083, 4838, 1751, 159696, 1644, 17310, 3120, 10676, 120439, 90848, 104855, 4, 95455, 364, 54260, 16803, 3120, 10676, 4852, 92605, 2205, 119055, 13845, 4944, 12483, 34654, 32887, 175483, 1644, 12483, 6235, 7916, 49008, 7746, 5, 1285, 168155, 3069, 29659, 183512, 506, 54260, 16803, 119055, 23173, 7682, 120467, 13845, 5, 18225, 65146, 7746, 95298, 72577, 1470, 54260, 5666, 59919, 105235 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 159696, 8903, 1211, 20315, 2050, 119055, 23173, 7682, 120467, 13845, 199145, 3056, 4838, 30109, 48904, 15307, 54260, 2882, 2200, 6, 159696, 8903, 1211, 10676, 199145, 68313, 7243, 4, 6, 238144, 1644, 4838, 3373, 4667, 12023, 4944, 44779, 4, 292, 2200, 1751, 109636, 42180, 1644, 1285, 199145, 119055, 6093, 12483, 23173, 75230, 2702, 8903, 8903, 1982, 12483, 3120, 1285, 1751, 119718, 710, 152848, 50853, 29771, 20911, 75230, 16847, 4, 292, 564, 174798, 54260, 1982, 12483, 10676, 119718, 23173, 7682, 120467, 13845, 230764, 215031, 26, 1211, 185527, 36324, 148932, 1470, 54260, 59461, 42542, 6428, 135118, 12483, 36324, 6093, 37826, 1285, 30109, 48904, 15307, 54260, 2882, 2200, 36324, 22753, 3056, 55242, 46244, 6235, 55823, 46244, 32792, 5, 20632, 4, 95455, 68313, 1751, 57277, 24152, 40653, 65848, 1982, 12483, 5, 37729, 1285, 1751, 119718, 710, 16747, 13845, 7972, 16932, 40096, 14303, 6235, 159696, 506, 49008, 7746, 4838, 3373, 4667, 4231, 17310, 4113, 874, 114436, 3069, 7916, 13845, 3069, 17806, 165354, 230764, 220224, 123073, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 2200, 10339, 39083, 2932, 32792, 3069, 6, 35596, 20315, 165354, 7243, 8903, 29659, 75230, 2932, 65482, 92500, 7243, 8903, 21066, 75230, 2932, 65482, 30109, 48904, 15307, 54260, 96986, 5, 4151, 88771, 3056, 36324, 14856, 46244, 163139, 10069, 45223, 23741, 874, 114436, 151614, 1982, 12483, 1285, 3373, 149364, 2865, 40096, 40697, 84475, 12483, 132, 30750, 46464, 83182, 2702, 130154, 2702, 16, 6235, 3111, 2932, 99509, 4, 9747, 18225, 170479, 220224, 51678, 55242, 506, 12483, 2200, 111684, 1644, 12483, 4838, 75386, 657, 141847, 149010, 4, 620, 48904, 8903, 76776, 33716, 93975, 874, 59929, 12483, 4, 292, 2200, 95455, 3056, 4484, 54260, 1211, 30109, 48904, 15307, 54260, 2882, 711, 7508, 6093, 88771, 26, 6093, 119055, 23173, 7682, 120467, 13845, 68313, 5, 45521, 17800, 13845, 2882, 99611, 195164, 18640, 55242, 1644, 96986, 5, 45521, 164863, 119273, 7508, 120467, 7243, 2200, 6, 212484, 2882, 7746, 7243, 123736, 1982, 5666, 23173, 12483, 711, 564, 54260, 10676, 88771, 26, 12483, 119718, 23173, 7682, 120467, 13845, 17168, 119718, 23173, 7682, 120467, 13845, 3056, 1285, 1470, 75230, 1982, 12483, 564, 174798, 16011, 65482, 1751, 159696, 1644, 17310, 4838, 55242, 46244, 43649, 23173, 39340, 4, 2451, 3496, 64260, 3131, 6, 225975, 23173, 95455, 67882, 40920, 7243, 1470, 75230, 2702, 4, 6, 238144, 1644, 18225, 42542, 95455, 151614, 1982, 12483, 2200, 7746, 81444, 4667, 10184, 54574, 12483, 6, 119859, 69106, 6235, 4852, 88917, 4, 292, 2200, 18225, 37826, 4838, 14856, 506, 90848, 35189, 119055, 76632, 61397, 17824, 75230, 2702, 12483, 10498, 89184, 5, 6, 104985, 44064, 6, 159696, 8903, 1211, 10676, 21087, 2865, 22426, 97634, 2050, 3120, 85596, 71945, 6, 94741, 63020, 18225, 55242, 46244, 160238, 30473, 40920, 18640, 220224, 1211, 4, 6, 238144, 1644, 37729, 13342, 7916, 13845, 7746, 117902, 25207, 1211, 7265, 1285, 32887, 175483, 1644, 12483, 2200, 1470, 75230, 4667, 4838, 203326, 13845, 7265, 35189, 1470, 54260, 91275, 145161, 17310, 4, 42542, 18225, 4151, 111684, 1644, 12483, 4838, 85596, 71945, 6428, 99766, 119055, 10705, 7369, 119718, 39083, 2882, 6319, 54260, 1211, 874, 39083, 42493, 6235, 159696, 1211, 5, 292, 1285, 10339, 39083, 23269, 3120, 10676, 88771, 4113, 119055, 23173, 7682, 120467, 13845 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42542, 220224, 1211, 4838, 6, 59919, 21733, 114436, 17310, 3120, 10676, 81763, 3069, 151614, 1982, 12483, 74806, 1644, 91595, 149010, 1211, 6, 59919, 39340, 46244, 84475, 6, 47351, 123736, 56703, 119718, 26612, 4944, 17310, 3120, 1285, 32887, 175483, 1644, 12483, 2205, 220224, 6093, 23173, 1982, 54260, 2882, 4838, 75386, 6, 235210, 12483, 80453, 142429, 905, 138194, 186797, 4113, 6, 29766, 119859, 49008, 5, 292, 6, 104985, 95455, 3056, 119718, 710, 35189, 6235, 225975, 2882, 43449, 75230, 4852, 56170, 19302, 905, 8903, 4, 6, 48775, 10918, 239162, 28726, 14856, 110970, 12483, 4, 199145, 40653, 23822, 54260, 1982, 12483, 7746, 42493, 220224, 6093, 3069, 29659, 183512, 2200, 163825, 12483, 7746, 42493, 1470, 54260, 1211, 6319, 54260, 1211, 25616, 48904, 15307, 54260, 96986, 4, 6, 238144, 1644, 1285, 6, 76776, 90848, 12130, 199145, 40653, 23822, 54260, 1982, 12483, 7746, 76961, 95564, 171428, 3120, 1285, 39293, 119055, 6093, 16932, 6, 59919, 105235, 506, 12483, 36324, 220224, 21923, 107020, 204403, 2882, 35596, 132, 10705, 5666, 55823, 506, 18640, 73784, 6, 59919, 39340, 46244, 16, 2200, 874, 54260, 1211, 1470, 75230, 42410, 44478, 17310, 42542, 220224, 1751, 93704, 12483, 48904, 29659, 40096, 220224, 3069, 45223, 55823, 1211, 38, 292, 6, 59919, 159696, 13805, 1644, 109226, 3120, 119055, 23173, 7682, 120467, 13845, 144754, 221895, 30109, 48904, 15307, 54260, 96986, 3120, 4151, 6235, 8903, 16747, 4, 163139, 4838, 189811, 4, 137, 119718, 59929, 6093, 95766, 364, 142429, 12483, 155, 84475, 221895, 2702, 4, 51678, 7243, 46711, 73381, 12483, 564, 54260, 6319, 54260, 1211, 6235, 14004, 1982, 96986, 81444, 20911, 29766, 5, 292, 1285, 34482, 170355, 4944, 12483, 3120, 119055, 23173, 7682, 120467, 13845, 51678, 220224, 1211, 12, 18225, 165354, 4151, 144754, 160751, 75230, 25207, 1211, 119055, 6093, 12483, 2819, 1285, 6, 208048, 97634, 9719, 3120, 1285, 84475, 12483, 3120, 20315, 2050, 6, 99766, 42542, 220224, 1211, 36324, 75230, 36324, 220224, 6093, 119055, 23173, 125897, 168155, 3069, 29659, 183512, 3056, 133190, 2865, 21106, 2819, 3069, 7916, 13845, 43649, 20616, 12483, 230764, 1470, 54260, 1211, 6, 99766, 2819, 6, 59919, 29659, 137377, 17310, 2200, 364, 23173, 16932, 165284, 54574, 5, 163139, 9213, 46244, 55242, 506, 2882, 3056, 1285, 34482, 170355, 107581, 220273, 7243, 6319, 54260, 1211, 74806, 1644, 91595, 149010, 4, 3496, 64260, 3131, 74806, 1644, 91595, 149010, 45521, 506, 44478, 12483, 51678, 1285, 10213, 218710, 109226, 7369, 61397, 67882, 4944, 12483, 5, 79761, 87442, 4113, 10213, 506, 48904, 2442, 1644, 17310, 2205, 6, 104985, 6428, 47351, 3523, 75230, 15231, 2932, 119055, 12483, 51723, 657, 54260, 2648, 2882, 3120, 10676, 119055, 23173, 7682, 120467, 13845, 2200, 119055, 12483, 18225, 42542, 192183, 16803, 40096, 9221, 12483, 47351, 88771, 26, 12483, 30109, 48904, 15307, 26612, 23741, 12483, 3069, 29659, 183512, 5, 2205, 4838, 122868, 63593, 54260, 1211, 6, 94741, 63020, 18225, 39293, 506, 12483, 36324, 1285, 45521, 506, 44478, 12483, 2205, 10676, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 170479, 12483, 1470, 75230, 2702, 8903, 1982, 13159, 77188, 119055, 6093, 12483, 4, 1470, 75230, 1982, 220224, 21923, 56170, 47351, 2819, 1285, 32054, 29659, 137377, 17310, 65146, 6235, 506, 54260, 21295, 119055, 6093, 12483, 2819, 18225, 6, 94741, 63020, 1470, 75230, 111137, 1982, 12483, 95455 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 43649, 20616, 12483, 230764, 6, 47351, 99766, 2819, 4838, 72577, 6093, 185182, 65442, 92605, 15, 202075, 109636, 16667, 29766, 49792, 16, 42542, 6, 59919, 23822, 54260, 1982, 12483, 1285, 13903, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 142196, 29025, 12483, 2819, 657, 75230, 119718, 23173, 24621, 84475, 21374, 506, 28726, 22753, 53611, 2442, 6093, 177274, 1211, 166464, 56170, 26612, 364, 21106, 75578, 97816, 5, 6235, 506, 12483, 1751, 93704, 2882, 6235, 159696, 506, 5666, 32792, 42493, 5, 292, 199145, 6, 48904, 69801, 48904, 98833, 1285, 120202, 6093, 40096, 710, 159696, 10213, 506, 183512, 1644, 17310, 4, 10213, 105235, 506, 2882, 22753, 2205, 10676, 4, 36324, 51723, 9915, 54260, 2648, 2882, 1470, 75230, 2050, 1285, 74806, 119718, 39083, 65482, 84475, 12483, 84475, 18225, 12023, 16747, 2882, 220224, 10705, 13497, 6093, 4, 36324, 75230, 36324, 95455, 564, 137119, 170479, 7243, 14856, 46244, 51678, 147582, 2702, 12483, 37729, 4852, 54260, 2200, 170479, 7746, 8248, 4944, 12483, 221895, 6, 159696, 8903, 1211, 5, 95455, 6, 94741, 63020, 6, 104985, 6235, 80264, 159696, 25207, 1211, 2205, 55242, 46244, 55242, 21295, 65482, 2200, 148707, 186145, 24621, 61541, 4113, 4, 119055, 10705, 1285, 657, 54260, 20315, 1211, 21923, 17824, 75230, 36419, 2200, 6319, 54260, 1211, 69529, 4838, 83182, 7265, 13845, 165354, 7243, 163139, 24152, 12483, 5, 292, 221895, 7508, 17268, 20308, 4, 163139, 895, 87442, 2442, 31623, 131044, 6, 29060, 8300, 5, 4, 144754, 119055, 13845, 107581, 1285, 7508, 218241, 205416, 4852, 75230, 2932, 2865, 183718, 7369, 29659, 75230, 49008, 123736, 23741, 1285, 6, 76776, 90848, 12130, 4, 4852, 171428, 123736, 42023, 7369, 7201, 39083, 2932, 5, 506, 6093, 101296, 22680, 142429, 15907, 78653, 506, 6093, 101296, 22680, 142429, 15907, 78653, 364, 54260, 16803, 4838, 3069, 29659, 183512, 2205, 119055, 13845, 4944, 12483, 4838, 14856, 191538, 8580, 9213, 32054, 75230, 9213, 6, 212915, 2205, 4151, 39293, 1644, 75578, 9424, 54260, 2882, 5, 215031, 14856, 110970, 119055, 39083, 2882, 8903, 2648, 23173, 23741, 151614, 1982, 12483, 22639, 6093, 149010, 2200, 1470, 75230, 101608, 149010, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 69355, 564, 54260, 20315, 73095, 13805, 12483, 5, 95455, 5332, 215052, 34533, 54196, 42493, 2200, 4, 125523, 76961, 6, 48904, 119859, 1982, 12483, 4, 506, 64260, 6319, 54260, 1211, 874, 39083, 42493, 5332, 215052, 34533, 54196, 5, 13159, 42542, 95298, 160238, 104378, 36324, 4838, 14856, 110970, 7265, 22639, 6093, 149010, 6, 238144, 1982, 149010, 6, 29766, 119859, 49008, 15, 2808, 54260, 6093, 105235, 4484, 4, 6235, 75578, 11556, 16932, 4, 19767, 12483, 2200, 1751, 54260, 20315, 16, 170479, 30750, 30473, 26394, 1211, 29434, 75230, 2702, 186797, 4113, 6, 29766, 119859, 49008, 199145, 170479, 12483, 220224, 1211, 6, 20616, 5666, 32792, 3069, 1285, 14856, 50856, 7972, 30750, 5, 1285, 17824, 75230, 36419, 3944, 109636, 1211, 51678, 220224, 1211, 6, 59919, 1644, 141847, 77188, 2200, 1470, 75230, 2702, 39293, 506, 12483, 163139, 2648, 120467, 120439, 90848, 104855, 4, 4151, 65902, 205416, 448, 42542, 220224, 1211, 6, 59919, 23847, 13159, 77188, 2200, 1470, 54260, 2702, 39293, 506, 12483, 163139, 4838, 6, 109636, 99611, 5, 564, 54260, 26612, 6, 133111, 42542, 95455, 120439, 90848, 202936, 220224, 1211 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14856, 506, 90848, 35189, 119055, 76632, 61397, 74806, 204403, 1644, 96986, 2200, 1470, 75230, 2702, 39293, 506, 12483, 163139, 1285, 17824, 75230, 36419, 3944, 109636, 1211, 4, 35189, 6, 109636, 99611, 42542, 220224, 1211, 3069, 19302, 54260, 1211, 5, 123736, 23741, 37826, 215031, 14856, 110970, 125523, 221895, 2702, 159390, 37640, 5666, 26, 2050, 9424, 238144, 96986, 74806, 1644, 91595, 2819, 4838, 6, 212915, 7265, 4838, 6, 238144, 90536, 104238, 29659, 710, 24621, 4, 4838, 32054, 75230, 7265, 4838, 191795, 38054, 4, 2200, 36324, 75230, 6, 238144, 16932, 5, 165592, 13845, 107581, 10339, 109316, 21923, 55242, 1644, 96986, 2200, 220224, 119055, 39083, 96986, 81444, 42493, 4151, 87311, 13497, 6235, 119718, 29766, 12483, 4, 119055, 12483, 42493, 1285, 95298, 21847, 75230, 1982, 172398, 199145, 6, 138194, 50931, 9221, 12483, 6, 159696, 8903, 1211, 10676, 2205, 6, 172060, 181615, 14088, 5, 14004, 2865, 204403, 18415, 69106, 12951, 183512, 123073, 6, 208048, 97634, 2865, 40697, 4838, 113889, 101296, 7972, 12483, 5, 13159, 21923, 125523, 56170, 47351, 14856, 46244, 123073, 6, 208048, 97634, 2865, 40697, 2200, 10184, 30473, 39083, 29766, 2932, 40697, 4838, 113889, 101296, 7972, 12483, 4, 95298, 220224, 21923, 42493, 163139, 40920, 18640, 5, 1470, 54260, 23269, 199145, 18225, 30750, 8903, 2932, 35596, 6, 73381, 16932, 3056, 4151, 874, 48904, 195054, 6, 47351, 7508, 6093, 874, 172398, 110129, 26612, 10918, 68558, 4, 95455, 364, 54260, 16803, 36324, 4838, 32054, 75230, 37826, 6319, 54260, 1211, 874, 39083, 42493, 14004, 46244, 21776, 195054, 5, 9213, 506, 25207, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 21923, 4151, 1982, 54260, 72577, 84475, 31249, 91595, 6, 35596, 119718, 125897, 21295, 5, 95455, 3056, 14856, 46244, 80885, 16667, 2190, 5927, 54260, 22849, 23173, 5, 14004, 2865, 204403, 18415, 69106, 10069, 107020, 204403, 18415, 69106, 84475, 1285, 74806, 1644, 91595, 149010, 2190, 5666, 55823, 506, 18640, 4484, 54260, 2882, 42542, 4852, 54260, 1211, 6, 47351, 123736, 48974, 48904, 40697, 4, 95455, 364, 54260, 16803, 119055, 12483, 1285, 73095, 13805, 905, 109316, 6, 29766, 119859, 49008, 21923, 219947, 133190, 2865, 21106, 4, 84475, 4838, 7243, 29766, 2932, 48904, 40697, 4, 119055, 12483, 1285, 6, 29766, 119859, 49008, 21923, 7201, 39083, 29659, 186797, 133190, 2865, 21106, 4, 6, 104985, 220224, 6093, 6, 218872, 68558, 4, 220224, 6093, 4838, 68697, 54260, 2882, 4, 3056, 8903, 29659, 77188, 5, 1285, 200795, 4838, 33716, 107020, 204403, 18415, 69106, 3056, 45521, 17800, 13845, 2882, 99611, 195164, 710, 65442, 13845, 96986, 5, 18225, 42542, 220224, 1211, 107020, 204403, 2882, 35596, 56170, 47783, 84475, 56170, 4838, 58571, 26394, 4667, 9424, 54260, 2882, 2819, 2205, 4151, 9424, 54260, 2882, 119055, 12483, 18225, 3056, 2190, 5666, 55823, 506, 18640, 4, 42542, 18225, 220224, 1211, 7201, 39083, 29659, 186797, 84475, 16175, 54260, 1644, 238144, 39293, 4, 14856, 46244, 84475, 119055, 76632, 61397, 4, 107020, 204403, 2882, 35596, 5, 18225, 42542, 6, 59919, 1644, 9221, 12483, 2205, 6, 119859, 57619, 12483, 6, 135542, 71616, 73784, 6, 59919, 39340, 46244, 4, 3069, 3373, 54260, 119055, 13845, 107581, 6, 149364, 4852, 68558, 84475, 43449, 75230, 4852, 3069, 1211, 26612, 6235, 119718, 710, 101608, 6, 149364, 4852, 68558, 2819, 18225, 42542, 151614, 1982, 12483, 1285, 657, 71616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 6, 5, 13456, 22151, 54260, 1211, 45521, 506, 18640, 3069, 6, 59919, 39340, 46244, 12483, 2819, 95455, 3056, 1285, 45521, 93509, 80453, 54260, 18415, 80885, 160238, 2050, 5, 1285, 107020, 204403, 18415, 69106, 3056, 564, 48350, 29771, 83182, 2702, 163139, 40920, 18640, 564, 54260, 2050, 6, 212915, 4, 10069, 32054, 75230, 220224, 186797, 14856, 46244, 84475, 119055, 76632, 61397, 112216, 21087, 119718, 2205, 10676, 73095, 13805, 905, 109316, 1211, 6, 129071, 5, 564, 54260, 6, 21106, 18415, 657, 54260, 2882, 3056, 1285, 107020, 204403, 18415, 69106, 55242, 46244, 45521, 93509, 80453, 54260, 2882, 5, 1982, 54260, 4231, 17310, 4113, 657, 54260, 2882, 3056, 22753, 14856, 46244, 80885, 16667, 4838, 10339, 39083, 8903, 3120, 1470, 54260, 50856, 16870, 161829, 4, 3120, 160238, 105235, 1644, 17310, 4, 3120, 6, 59919, 1644, 9221, 12483, 10676, 3069, 23822, 75230, 12483, 3069, 7746, 21106, 54260, 1211, 5, 95298, 874, 48904, 4944, 63593, 39083, 3056, 22753, 4838, 10339, 39083, 8903, 3120, 3069, 7916, 13845, 6, 59919, 39340, 46244, 4, 29771, 35189, 3120, 3069, 7916, 13845, 1470, 75230, 22680, 4113, 2932, 17310, 123736, 42023, 6, 59919, 39340, 46244, 4, 84475, 220273, 3120, 874, 48904, 195054, 47351, 6, 59919, 39340, 46244, 2205, 1285, 6, 101328, 46244, 12483, 2205, 119055, 13845, 107581, 7369, 3056, 2190, 5666, 75578, 23174, 2882, 3523, 75230, 15231, 2932, 5, 292, 2181, 6, 186145, 23741, 7746, 1470, 75230, 4667, 123736, 23741, 36324, 2205, 4151, 184639, 9424, 54260, 2882, 137, 113889, 4667, 35189, 172312, 155, 170479, 4151, 4231, 17310, 6093, 212915, 42493, 51678, 151614, 1982, 12483, 6, 59919, 39340, 46244, 4, 6, 238144, 44478, 3056, 3069, 1751, 57277, 24152, 1470, 75230, 111137, 25207, 98833, 84475, 6, 238144, 1644, 7369, 6, 238144, 16803, 125523, 42493, 15276, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 119718, 710, 36324, 75230, 5, 95455, 3056, 42493, 6319, 54260, 1211, 107020, 204403, 18415, 69106, 5, 8947, 21776, 39478, 54196, 7746, 1982, 21106, 2648, 3120, 7746, 6, 21106, 54260, 1211, 5, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 3056, 1285, 107020, 204403, 18415, 69106, 506, 54260, 22849, 23173, 37729, 98252, 84316, 8903, 1211, 10676, 3069, 23822, 75230, 12483, 3069, 7746, 6, 21106, 54260, 1211, 4, 37729, 4838, 113889, 70598, 21106, 17190, 1982, 12483, 2205, 4838, 122868, 63593, 54260, 1211, 2200, 4838, 133190, 2865, 21106, 74806, 1644, 91595, 32792, 17190, 1982, 12483, 1982, 79989, 4, 874, 48904, 4944, 2865, 39083, 37729, 4838, 10339, 39083, 29659, 186797, 4113, 74806, 1644, 91595, 149010, 22444, 506, 4113, 56170, 26612, 6235, 119718, 710, 101608, 9424, 54260, 2882, 4, 37729, 6, 75290, 149364, 149010, 9213, 1982, 109226, 4, 10184, 13845, 6235, 506, 12483, 4, 37729, 26612, 224220, 12890, 76776, 10918, 68558, 3120, 6319, 21106, 18415, 2200, 119055, 23173, 24621, 10213, 35189, 5, 14856, 10069, 78683, 96302, 12483, 4852, 171428, 6, 127827, 6093, 123736, 42023, 6319, 54260, 1211, 69529, 163139, 24152, 17310, 84475, 118473, 32792, 4, 6, 238144, 1644, 119055, 12483, 220224, 119718, 9221, 165354, 56170, 10676, 1470, 75230, 8903, 5666, 181615, 4, 1751, 119718, 26612, 4944, 12483, 220224, 123736, 1982, 56170, 4151, 3069, 17494, 217814, 5, 165592, 75230, 6, 71804, 23405, 163139, 97995, 37016, 10918 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 239162, 1211, 4, 95455, 364, 54260, 16803, 43649, 54260, 6293, 159696, 25207, 1211, 3120, 10676, 115825, 2648, 4, 21923, 178748, 32792, 4, 3056, 56170, 47351, 4838, 3373, 4667, 151614, 110968, 23405, 2808, 75230, 6293, 216333, 17310, 84475, 364, 54260, 1644, 17310, 37729, 1285, 1470, 75230, 12890, 8903, 174538, 12483, 2200, 119055, 12483, 4852, 54260, 45223, 55823, 1211, 7243, 4, 37729, 10213, 506, 183512, 1644, 109226, 7265, 3373, 171433, 20315, 1211, 15, 26612, 235210, 8580, 58573, 21106, 65482, 224252, 15529, 96302, 12483, 16, 2200, 7265, 1470, 54260, 110970, 80453, 31623, 109226, 5, 6, 109316, 25616, 65848, 8300, 131044, 163139, 2442, 20911, 64699, 6319, 54260, 1211, 874, 39083, 7243, 5, 10069, 10213, 3131, 5666, 54260, 2648, 17310, 144754, 1285, 155787, 12483, 4, 199145, 34076, 75230, 1982, 12483, 2205, 6, 21106, 7611, 4, 199145, 137, 2932, 64260, 37826, 160751, 64260, 12483, 2004, 151614, 1982, 12483, 20033, 7243, 199145, 3069, 7508, 6093, 12483, 5, 220224, 34076, 75230, 1982, 12483, 4, 27855, 51723, 4852, 18167, 7243, 7265, 220224, 6093, 6, 172039, 2200, 10184, 46244, 12483, 7746, 230764, 125523, 220224, 6093, 21776, 7972, 46677, 168155, 40653, 8300, 54260, 2932, 17310, 5, 8947, 21923, 95298, 81444, 9424, 119718, 40697, 1211, 178766, 4113, 155787, 12483, 4838, 3373, 4667, 4, 199145, 163139, 1644, 12483, 6, 57277, 57619, 12483, 230764, 76961, 77756, 15050, 4, 364, 21106, 30750, 4, 10339, 77188, 13845, 4, 4838, 40920, 13845, 14856, 110970, 12483, 4, 4838, 6, 56052, 11211, 204403, 84316, 96986, 4, 199145, 21923, 160751, 75230, 25207, 1211, 8903, 119718, 29766, 12483, 4838, 75386, 6, 47351, 1470, 75230, 2702, 119718, 10705, 13805, 3120, 4151, 32054, 54260, 20315, 20260, 6093, 152185, 116486, 22426, 26612, 2932, 48904, 94741, 5, 1285, 11211, 204403, 84316, 96986, 3120, 4151, 6, 21106, 16932, 131397, 10339, 147713, 12483, 8947, 12483, 38211, 9221, 4, 159696, 1211, 6319, 54260, 59461, 37826, 220224, 7243, 6235, 39293, 506, 12483, 4, 2200, 56170, 26, 1211, 71107, 10339, 147713, 12483, 220224, 4852, 54260, 1211, 4269, 64260, 26, 2702, 80839, 2865, 80885, 27855, 55823, 44779, 5, 1285, 364, 54260, 50778, 8903, 9424, 18279, 37016, 13159, 163139, 1644, 12483, 4, 165592, 18225, 170479, 220224, 6, 23173, 54260, 5666, 25207, 4944, 171428, 2205, 1285, 7508, 54260, 506, 12483, 3120, 1285, 1470, 75230, 111137, 21733, 6093, 18415, 4, 71804, 4944, 12483, 7746, 1470, 75230, 2702, 3120, 6, 63188, 12483, 137, 141562, 2865, 92605, 2004, 2200, 119055, 12483, 2181, 107776, 3069, 5332, 22426, 13159, 4, 85465, 200117, 12483, 220224, 874, 151461, 56170, 10676, 25093, 74197, 620, 71107, 4, 2200, 9585, 165354, 7746, 3069, 1470, 30682, 5, 4852, 54260, 6428, 135118, 12483, 7243, 163139, 1285, 6, 21106, 18415, 21776, 46685, 152, 137, 46891, 3056, 7369, 2932, 64260, 1470, 75230, 4667, 5332, 22426, 21292, 119055, 77188, 4, 657, 29771, 62808, 1470, 30682, 1470, 75230, 4667, 4838, 203326, 13845, 1285, 171428, 155, 38, 3523, 54260, 1211, 4, 10069, 564, 29060, 5666, 54260, 2648, 17310, 19308, 4852, 54260, 21923, 6, 57277, 39340, 99509, 7265, 4269, 64260, 2205, 4151, 3523, 83586, 4, 220224, 21923, 220273, 7243, 2442, 54260, 6293, 7746, 3069, 10213, 22680, 54260, 12483, 3120, 1470, 30682, 4, 6, 104985, 220224, 163139, 1644, 12483, 10213, 3131, 119718, 710, 47526 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10676, 22680, 54260, 12483, 6235, 94741, 20260, 5, 3373, 26, 68313, 81444, 4667, 874, 142429, 53414, 4, 3373, 26, 68313, 81444, 4667, 48706, 54260, 128117, 4, 119055, 12483, 51723, 34076, 75230, 47332, 7243, 18225, 564, 37016, 177148, 81444, 4667, 4838, 6, 113889, 51723, 4, 4838, 75386, 4838, 6235, 44693, 20315, 16932, 4, 160238, 2882, 8903, 25391, 15907, 114436, 14856, 110970, 5, 56170, 199145, 7243, 705, 40653, 506, 75230, 22426, 2882, 4, 36324, 2181, 42542, 45223, 55823, 1211, 3069, 1285, 78278, 23269, 2702, 5, 220224, 6, 238144, 2702, 12483, 7243, 15, 92500, 2648, 120467, 21776, 119718, 39083, 905, 10918, 239162, 25207, 6, 172060, 181615, 14088, 10339, 142429, 77188, 8947, 7243, 247, 36324, 119947, 3069, 4852, 54260, 1211, 4838, 160238, 2882, 8903, 25391, 15907, 114436, 14856, 110970, 65146, 18225, 67882, 4944, 12483, 120202, 59919, 4, 65146, 18225, 115222, 2865, 22426, 55823, 1211, 5, 119055, 12483, 18225, 119055, 39083, 2882, 6, 190135, 6, 64260, 1285, 75578, 23174, 17310, 3069, 76961, 21776, 119718, 39083, 92866, 24001, 59461, 12483, 2200, 32054, 54260, 20315, 20260, 6093, 4, 163139, 6, 159696, 110317, 119718, 39083, 96986, 6428, 47351, 6235, 159696, 1211, 711, 94741, 40920, 7746, 4, 199145, 56170, 6, 47351, 130170, 3131, 54260, 2648, 9424, 119718, 40697, 1211, 9424, 18279, 37016, 13159, 705, 87637, 204403, 84316, 96986, 43449, 54260, 1982, 12483, 11211, 204403, 84316, 96986, 4, 1470, 75230, 1982, 4269, 64260, 2050, 7201, 29766, 40920, 93975, 84475, 22680, 54260, 20315, 20260, 6093, 40697, 4, 6, 21106, 7611, 1470, 54260, 1211, 30654, 506, 711, 3373, 26, 68313, 95298, 160238, 2882, 7243, 36324, 75230, 12, 37271, 10705, 54561, 123073, 155, 11211, 204403, 84316, 96986, 4, 1285, 6, 87311, 35189, 23269, 4, 21923, 81444, 4667, 34654, 7369, 2932, 80885, 5, 7201, 23173, 199145, 705, 4838, 564, 54260, 3131, 22426, 710, 13845, 152, 8947, 43649, 20616, 2882, 2205, 4151, 81271, 4, 6150, 4269, 64260, 506, 64260, 10213, 95494, 55823, 1211, 4838, 6, 159696, 21295, 7265, 6, 21106, 7611, 4, 199145, 2205, 9213, 46244, 3056, 2205, 55242, 13805, 18415, 2932, 5, 36324, 18225, 163139, 1644, 4, 34076, 75230, 47332, 18225, 5, 107776, 4151, 137, 7201, 99766, 8903, 25391, 15907, 114436, 155, 92500, 4151, 6, 48775, 10918, 232187, 1644, 34533, 2200, 137, 6093, 21733, 77188, 155, 1285, 55242, 13805, 193012, 21923, 39293, 13805, 137, 8903, 29771, 203749, 40697, 41764, 89184, 142429, 12483, 2909, 3120, 119055, 48904, 12483, 3056, 6235, 13982, 109226, 705, 1470, 10918, 16747, 68313, 1751, 75230, 1211, 1285, 81271, 163139, 35189, 6, 39083, 2442, 54260, 2882, 4, 2200, 148932, 364, 21106, 25491, 75230, 111137, 21733, 6093, 16932, 119055, 29060, 7746, 6428, 135118, 12483, 152, 4269, 64260, 3056, 7243, 36324, 75230, 17190, 104238, 32792, 4, 163139, 1285, 119718, 710, 80885, 32054, 54260, 20315, 20260, 6093, 6, 87311, 54574, 12483, 1470, 30682, 2819, 44064, 4838, 137, 8903, 44693, 20315, 16932, 155, 178748, 21847, 75230, 1982, 12483, 2205, 4151, 81271, 152, 22753, 3056, 81444, 4667, 163139, 2702, 43178, 95494, 23741, 32792, 7369, 21733, 77188, 711, 2451, 2200, 36324, 75230, 119055, 77188, 3120, 10676, 40653, 240863, 10339, 119718, 26, 2050, 7508, 75230, 96986, 6, 448, 4838, 74806, 710, 4944, 18415, 7265, 137, 158853, 2882, 2200, 5332, 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 ]
[ 30750, 2004, 2200, 36324, 75230, 119055, 6093, 12483, 76961, 119055, 10705, 83182, 137, 59919, 105235, 16747, 32792, 2200, 874, 43178, 32792, 2909, 199145, 56170, 4838, 6, 109995, 151614, 1982, 12483, 1285, 224220, 22426, 90848, 189098, 12483, 705, 36324, 9213, 46244, 34076, 75230, 47332, 4, 235466, 230764, 1285, 364, 54260, 7972, 8903, 71180, 23741, 7265, 14004, 46244, 6, 119859, 69106, 6235, 159696, 1982, 91595, 2702, 3120, 45521, 95064, 2702, 114436, 4, 1751, 114436, 2200, 7544, 146598, 6093, 4, 144754, 506, 39083, 29771, 46677, 4, 7265, 9213, 506, 25207, 22518, 37016, 149010, 6, 86270, 54260, 96986, 2200, 7265, 9213, 130734, 48904, 26394, 1211, 54745, 2865, 29766, 21106, 15533, 9221, 141943, 12483, 63259, 7611, 5, 6, 212484, 2882, 22753, 163139, 22753, 2205, 2819, 45521, 95064, 59461, 2882, 42493, 4, 6, 59919, 192539, 2882, 42493, 5, 9934, 35596, 9213, 46244, 95298, 14856, 110970, 12483, 4, 199145, 85465, 200117, 12483, 657, 17645, 1982, 3069, 6428, 135118, 12483, 2200, 3069, 160238, 3131, 12483, 32054, 54260, 4, 170479, 6428, 47351, 1470, 54260, 6093, 874, 15662, 17168, 35189, 88771, 6, 159696, 8903, 1211, 74806, 28726, 47332, 2702, 28726, 1982, 12483, 23173, 1982, 54260, 96986, 4, 6, 208048, 1644, 15533, 9221, 12483, 4, 123736, 1982, 159696, 8903, 1211, 2200, 7369, 29659, 4, 119055, 12483, 9213, 46244, 9934, 35596, 6, 130991, 3069, 4151, 40653, 8300, 54260, 2932, 17310, 4, 36324, 8947, 3056, 1470, 54260, 4667, 7243, 178748, 32792, 3069, 21847, 75230, 1982, 12483, 4, 6428, 47351, 119055, 23173, 23741, 4838, 159696, 4484, 76961, 2702, 63259, 147455, 13159, 4, 199145, 9213, 46244, 37826, 6235, 9221, 3131, 26, 13497, 3120, 40026, 506, 123073, 110167, 850, 5, 95298, 3069, 6093, 29659, 160238, 29659, 7746, 6, 21106, 54260, 1211, 26217, 2882, 1470, 75230, 2702, 4, 192183, 226112, 1644, 54196, 7746, 72577, 4, 2200, 6, 104985, 119055, 12483, 76961, 18133, 20260, 109316, 163139, 20260, 4113, 44779, 3120, 1470, 54260, 6093, 3523, 83586, 21923, 6, 61397, 54260, 7511, 13497, 6235, 119718, 29766, 12483, 3120, 26, 2050, 145813, 23174, 4113, 159696, 1982, 2702, 4, 119055, 12483, 9213, 46244, 6319, 35596, 17806, 165354, 10676, 17190, 1982, 12483, 2200, 4151, 6, 76776, 29631, 2205, 22426, 12130, 6, 23173, 54260, 1211, 7265, 123736, 7201, 65482, 1470, 75230, 8903, 1211, 4, 7265, 6, 47351, 88771, 26, 12483, 119055, 10705, 110970, 125523, 3944, 40920, 4, 94741, 1211, 9934, 35596, 9213, 46244, 32054, 54260, 20315, 20260, 6093, 5, 2200, 125523, 10676, 76961, 51723, 6, 59919, 71804, 23405, 2882, 4852, 18167, 125523, 1470, 54260, 1211, 6, 170355, 4667, 152, 3069, 220224, 1211, 5332, 46244, 32792, 2200, 1470, 75230, 7201, 120749, 18640, 2819, 3069, 6, 80264, 4, 13342, 364, 183512, 1644, 12483, 36324, 75230, 163139, 18225, 54745, 185226, 5, 8300, 119718, 40697, 1211, 1285, 4838, 33716, 137, 6093, 21733, 6093, 109226, 2004, 163139, 6255, 151614, 1982, 220224, 1470, 75230, 1982, 12483, 10213, 65848, 1982, 12483, 4, 3056, 1470, 75230, 4667, 1285, 7369, 21733, 6093, 17310, 6, 159696, 8903, 1211, 4151, 24012, 34709, 710, 106504, 54260, 2882, 3120, 4151, 2865, 24248, 5, 8947, 21923, 81444, 4838, 3373, 4667, 36324, 75230, 6235, 76776, 194734, 32054, 54260, 20315, 20260, 6093, 4, 199145, 657, 29766, 104149, 10213, 3131, 5666, 54260, 20315 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 220224, 123073, 114955, 4, 2200, 119055, 12483, 18225, 129165, 98833, 220224, 4, 56170, 119718, 120467, 4852, 54260, 188485, 8947, 4, 6, 225975, 12483, 220224, 4, 36324, 2181, 3056, 6235, 4852, 88917, 5, 129165, 98833, 4852, 36326, 220224, 6, 238144, 16932, 4, 56170, 119718, 120467, 3056, 2181, 6235, 4852, 88917, 4, 119055, 109316, 1211, 220224, 7243, 163139, 2702, 12483, 199145, 3069, 35596, 59919, 12483, 5, 20632, 4, 657, 29771, 62808, 81444, 55242, 506, 12483, 4, 199145, 56170, 4838, 10213, 32670, 17310, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 37826, 3069, 4151, 6235, 46464, 166968, 54260, 2882, 2200, 163139, 6, 238144, 2882, 18225, 42542, 6, 23173, 54260, 110970, 28726, 109636, 1211, 1285, 163139, 4944, 43178, 95494, 23741, 3069, 45223, 55823, 1211, 10676, 6, 21106, 96986, 21776, 7972, 46677, 104149, 6235, 13458, 75230, 4667, 5, 168892, 10213, 506, 75230, 22426, 18415, 4, 36324, 1285, 201548, 3056, 220273, 7243, 6319, 54260, 1211, 14856, 10069, 10918, 207591, 73381, 48775, 8903, 5, 148932, 6, 238144, 16803, 36324, 1285, 77775, 21776, 186461, 710, 68558, 10213, 55823, 506, 21295, 1285, 2865, 24248, 4, 4838, 75386, 4838, 21776, 7972, 46677, 39293, 3523, 75230, 2882, 119718, 186797, 4484, 54260, 2882, 5, 8947, 3056, 4838, 1982, 88917, 7265, 4269, 64260, 4, 8947, 3056, 4838, 37640, 16747, 26612, 96302, 21106, 6093, 130170, 16629, 16870, 9424, 119718, 40697, 1211, 185758, 12483, 2200, 46050, 80885, 1211, 5, 76961, 42493, 1982, 114001, 2882, 65482, 119055, 6093, 12483, 10213, 236376, 21106, 2702, 19302, 114436, 2205, 119055, 77188, 4, 163139, 20033, 4, 199145, 151614, 1982, 12483, 10676, 6, 156325, 4269, 64260, 6, 59919, 71804, 23405, 96986, 3373, 15289, 5, 8947, 3056, 56170, 155787, 12483, 95455, 4, 199145, 1285, 16175, 75230, 55823, 3056, 56170, 84316, 80885, 1211, 5, 6255, 7501, 162926, 4, 36324, 119055, 12483, 76961, 81444, 20911, 75230, 16847, 2200, 163139, 2702, 43178, 95494, 23741, 114349, 114436, 3120, 4151, 6, 159696, 21295, 119055, 39083, 96986, 6235, 225975, 2882, 4, 36324, 1285, 201548, 3056, 10705, 2865, 8903, 4852, 88917, 4, 119055, 39083, 96986, 1285, 34076, 75230, 12890, 8903, 155787, 12483, 220224, 7243, 6235, 7201, 39083, 98833, 4, 3523, 103182, 64260, 26, 2702, 564, 123073, 54574, 5, 1285, 88771, 25207, 7972, 46677, 39293, 155787, 12483, 6428, 23173, 55823, 1211, 6319, 54260, 1211, 69529, 7369, 21733, 6093, 17310, 152, 220224, 34076, 75230, 1982, 12483, 4, 2200, 95455, 3056, 220224, 6235, 3111, 2932, 5, 95298, 199145, 6, 225975, 12483, 10069, 10213, 3131, 5666, 54260, 2442, 17310, 18949, 10069, 221895, 4, 119055, 13845, 107581, 8248, 4944, 12483, 56170, 7746, 62113, 143712, 4, 9747, 220224, 6093, 34076, 75230, 1982, 12483, 3069, 59919, 35596, 59919, 12483, 56170, 10676, 3523, 54260, 12483, 4269, 54260, 16803, 705, 137, 110856, 12666, 46050, 80885, 1211, 10213, 3131, 5666, 54260, 20315, 1211, 220224, 123073, 114955, 6, 159696, 8903, 1211, 6235, 46464, 166968, 54260, 2882, 4, 44064, 81444, 20911, 75230, 16847, 6, 225975, 12483, 4, 165592, 8947, 3056, 203013, 2909, 200795, 16667, 6, 225975, 12483, 95455, 6, 104985, 119055, 76632, 8903, 81444, 20911, 75230, 16847, 2200, 9424, 119718, 23173, 1285, 14856, 46244, 80885, 155787, 12483, 5, 6, 104985, 119055, 12483, 44064, 1470, 54260, 7511, 8903, 9934, 29766, 8903, 1211, 95455, 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 ]
[ 101328, 4, 3056, 8947, 125523, 42493, 6235, 13982, 109226, 36324, 220224, 21923, 6, 61397, 91595, 5, 10069, 874, 114436, 119055, 6093, 12483, 160751, 75230, 25207, 1211, 7265, 4838, 364, 75230, 2882, 40653, 10676, 74806, 1644, 91595, 149010, 1211, 123736, 48974, 47351, 152, 22753, 364, 54260, 16803, 137, 10069, 160238, 506, 75230, 2882, 2909, 2200, 3496, 64260, 3131, 4269, 64260, 163139, 1644, 165592, 75230, 7916, 13845, 4, 36324, 155787, 12483, 170479, 12483, 7243, 151614, 1982, 12483, 1285, 6, 59919, 94741, 188201, 364, 75230, 2882, 4, 10213, 95494, 23741, 7369, 220224, 81444, 4667, 163139, 101251, 34533, 12483, 7265, 9213, 46244, 5, 1285, 201548, 10213, 105235, 506, 23093, 75230, 22426, 2882, 39293, 4944, 32792, 2205, 10676, 123736, 56703, 5666, 54260, 20315, 1211, 84475, 123736, 13458, 54260, 2702, 12483, 3120, 1285, 168155, 364, 75230, 2882, 5, 92500, 119055, 12483, 1285, 364, 75230, 2882, 119055, 77188, 7243, 123736, 1982, 8903, 117260, 96986, 4, 199145, 6319, 68558, 6235, 155697, 1211, 705, 95766, 1285, 874, 54260, 80885, 10339, 109316, 6235, 155697, 2882, 6319, 54260, 1211, 69529, 620, 91595, 13159, 5, 95298, 178748, 32792, 4, 36324, 4151, 620, 54260, 2050, 4, 199145, 119055, 77188, 132025, 61397, 25046, 12483, 3373, 24621, 2932, 101296, 4, 2200, 159696, 1644, 104238, 163825, 29060, 7746, 2205, 4151, 160238, 506, 75230, 2882, 4, 170479, 7508, 54260, 26394, 1211, 1285, 6235, 8903, 16747, 92500, 6, 225975, 23173, 67882, 4944, 12483, 85596, 71945, 5, 95455, 107776, 95298, 6235, 159696, 506, 5666, 32792, 7243, 7201, 29766, 564, 54260, 14856, 110970, 12483, 199145, 364, 21106, 96986, 7746, 7508, 54260, 1211, 5, 15, 119718, 120467, 132025, 69801, 48904, 2932, 97634, 75578, 63259, 10918, 8903, 14856, 110970, 12483, 4, 163139, 1644, 6255, 34076, 54260, 4667, 81444, 6, 225975, 12483, 4, 36324, 18225, 119055, 39083, 2882, 4852, 54260, 125523, 4151, 39293, 1644, 75578, 6, 203749, 7682, 6235, 2648, 23173, 23741, 123736, 56703, 5666, 54260, 25207, 1211, 1285, 1470, 75230, 6093, 12483, 2200, 20315, 2050, 6319, 137377, 2200, 1285, 6, 131445, 4, 6, 238144, 1644, 76961, 1285, 16175, 54260, 1644, 12483, 51678, 37729, 63259, 7611, 119055, 6093, 12483, 55242, 46244, 6319, 48775, 20260, 2200, 6, 225975, 23173, 6, 199511, 17824, 75230, 36419, 6235, 7201, 26612, 46244, 12483, 56170, 26, 1211, 17190, 1982, 12483, 5, 16, 6, 47351, 221895, 620, 91595, 4113, 10339, 39083, 23269, 3120, 10676, 6, 59919, 17160, 54260, 1982, 12483, 3120, 4151, 7201, 29766, 506, 75230, 2882, 3056, 178748, 32792, 564, 54260, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 5, 1285, 160238, 506, 75230, 48253, 16932, 2882, 2200, 67882, 40920, 1751, 159696, 2442, 6093, 1285, 10213, 506, 183512, 1644, 17310, 3120, 36324, 13845, 107581, 30109, 48904, 52671, 54260, 96986, 4, 95298, 95455, 45521, 54574, 12483, 3120, 4151, 160238, 506, 75230, 2882, 45521, 17800, 15907, 219947, 3120, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 5, 8947, 3056, 125523, 6319, 54260, 1211, 874, 39083, 219947, 10213, 119718, 710, 104149, 6235, 119718, 29766, 12483, 4, 36324, 155787, 12483, 657, 54260, 20315, 1211, 119055, 76632, 61397, 3120, 1285, 39293, 30109, 48904, 15307, 54260, 51723, 4, 163139, 221895, 37729, 10676, 4, 199145, 220224, 21923, 10213, 117260, 96986, 5, 148932, 2648, 218241, 205416, 4, 199145, 37826 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3069, 6, 80264, 7265, 77775, 112216, 10918, 35596, 12483, 6, 238144, 16803, 4, 163139, 59919, 3131, 80453, 54260, 2882, 8947, 21923, 1285, 119055, 114436, 40697, 30109, 48904, 15307, 54260, 96986, 9424, 119718, 40697, 1211, 155787, 12483, 5, 13159, 21923, 23165, 81444, 221895, 34482, 170355, 4944, 12483, 4, 199145, 51678, 564, 54260, 155787, 12483, 59919, 9719, 83182, 12483, 1285, 9424, 29771, 54574, 3120, 1285, 168155, 3373, 99766, 30109, 48904, 39340, 4, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 2648, 120467, 10339, 26612, 123559, 12483, 28726, 1982, 12483, 2200, 95455, 40026, 506, 4113, 172312, 151614, 1982, 12483, 12, 95455, 3056, 5039, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 29771, 75578, 6, 104985, 6235, 159696, 1211, 4151, 10339, 21106, 564, 54260, 34654, 6, 119859, 69106, 80839, 24621, 155787, 12483, 3120, 6, 75322, 39083, 5, 92500, 163139, 1982, 21106, 2648, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 119055, 77188, 6235, 101296, 40920, 9747, 3069, 6, 59919, 87637, 96986, 84475, 13342, 7369, 1644, 54260, 4944, 16932, 12483, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 4, 56170, 199145, 4852, 36326, 42493, 23173, 75230, 2702, 3131, 5666, 54260, 20315, 1211, 564, 54260, 2050, 7369, 29659, 160751, 75230, 25207, 119132, 192544, 76961, 1285, 6, 29766, 119859, 49008, 199145, 4484, 171428, 6319, 48775, 20260, 119055, 6093, 12483, 705, 3056, 95455, 7243, 17190, 75578, 32792, 705, 95298, 874, 48904, 107581, 81444, 20911, 75230, 16847, 37922, 22426, 55823, 54574, 12483, 95298, 163139, 24152, 32792, 2200, 6, 119859, 69106, 7369, 16667, 2882, 6, 23173, 75230, 2702, 13342, 3131, 5666, 54260, 20315, 1211, 10676, 6, 71577, 188301, 2702, 40611, 3069, 6, 59919, 87637, 96986, 4838, 109636, 107829, 21087, 92178, 711, 163139, 76776, 184855, 711, 6255, 163139, 1644, 81444, 42493, 105884, 12483, 3120, 1285, 6235, 7201, 26612, 46244, 12483, 3120, 4151, 10213, 3131, 5666, 54260, 2648, 17310, 5950, 54260, 1211, 2205, 4151, 160238, 2050, 4, 163139, 22753, 119055, 77188, 6235, 101296, 40920, 3120, 26, 2050, 7038, 54574, 4, 238144, 1644, 18225, 119055, 39083, 2882, 20033, 6235, 88660, 13497, 6, 35596, 59919, 12483, 4, 36324, 95455, 42542, 18225, 21776, 7201, 29766, 62808, 12483, 5, 9213, 73375, 8903, 16667, 3056, 8947, 7243, 36324, 75230, 162926, 4, 36324, 44064, 564, 54260, 6, 93704, 218241, 205416, 2200, 125523, 76961, 21776, 195054, 12483, 4151, 4074, 70380, 46677, 42542, 7243, 1285, 120202, 6093, 26612, 10918, 68558, 151614, 1982, 12483, 620, 91595, 4113, 10339, 39083, 8903, 1211, 5, 874, 54260, 80885, 16667, 119055, 12483, 4151, 2648, 218241, 205416, 67882, 40920, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 3373, 54260, 564, 54260, 4838, 192544, 4, 3373, 54260, 564, 54260, 6, 47351, 7369, 119718, 92605, 36419, 119132, 4, 3056, 4151, 3069, 29659, 183512, 6, 29766, 6093, 1285, 30109, 48904, 15307, 54260, 2882, 36324, 75230, 4, 36324, 13159, 3056, 7243, 29771, 6319, 54260, 1211, 4838, 83182, 9721, 17188, 5, 1285, 137377, 6093, 26612, 10918, 68558, 3056, 6428, 47351, 3069, 21776, 4944, 171428, 9424, 119718, 40697, 1211, 76961, 6, 109600, 103182, 40697, 4838, 68697, 54260, 96986, 4, 199145, 151614, 1982, 12483, 4838, 75386, 200795, 6, 75578, 23174, 17310, 3069, 220224, 1211, 3523, 75230, 2882, 119718, 186797, 4, 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 ]
[ 18225, 42542, 22753, 7243, 6, 59919, 21847, 54260, 4944, 12483, 7265, 4151, 77775, 2442, 201548, 5, 2808, 54260, 7511, 8903, 81444, 20911, 75230, 16847, 10213, 506, 75230, 22426, 96986, 220273, 36324, 1285, 160238, 506, 75230, 2882, 3056, 3523, 75230, 15231, 2932, 2200, 36324, 9213, 46244, 45521, 54574, 12483, 3056, 1285, 34482, 170355, 107581, 3120, 3069, 7916, 13845, 7508, 54260, 8300, 17310, 5, 168892, 119055, 13845, 7243, 129165, 8903, 1211, 1285, 34076, 75230, 12890, 8903, 155787, 12483, 4, 7265, 199145, 56170, 26612, 198754, 220224, 21923, 46855, 220224, 123073, 114955, 4, 7265, 199145, 56170, 4838, 198754, 4852, 54260, 163139, 1644, 12483, 95455, 2190, 5666, 113687, 196332, 192544, 4, 199145, 3056, 2190, 5666, 55823, 506, 18640, 3069, 2190, 33716, 54260, 1644, 12483, 4, 67882, 4944, 12483, 56170, 4838, 155787, 2205, 21776, 2050, 21776, 7972, 46677, 104149, 6, 109995, 5, 95298, 6255, 129165, 93238, 120467, 1285, 4231, 76632, 8903, 4, 199145, 22444, 55823, 1211, 7746, 6, 68558, 160238, 2882, 8903, 25391, 15907, 65482, 2200, 21923, 46855, 4852, 54260, 123073, 114955, 4, 6, 104985, 6, 238144, 1644, 220224, 151614, 1982, 12483, 7243, 10676, 187667, 7746, 3069, 10213, 22680, 54260, 12483, 2205, 6, 119859, 57619, 12483, 3120, 1285, 76961, 22753, 96986, 4, 6, 104985, 6, 238144, 1644, 220224, 151614, 1982, 12483, 111025, 68561, 23173, 220224, 123073, 1751, 56331, 5, 8947, 3056, 4838, 6235, 119718, 21106, 2648, 2882, 40096, 4, 2181, 3056, 4838, 1751, 183512, 2882, 40096, 5, 14004, 46244, 9934, 35596, 6, 57277, 16580, 1285, 895, 16932, 12483, 4, 9213, 46244, 6428, 23173, 23741, 6, 57277, 16580, 6, 80264, 199145, 9213, 46244, 20315, 185226, 4, 36324, 8947, 3056, 72577, 56170, 10676, 192544, 4, 95298, 6, 104985, 36324, 13845, 107581, 6, 170355, 4944, 12483, 4, 119718, 120467, 9213, 46244, 65146, 2882, 6, 80264, 56170, 1470, 30682, 5, 95298, 7265, 199145, 56170, 6, 23173, 91595, 185182, 98833, 9213, 46244, 1470, 30682, 6, 68558, 4838, 34076, 75230, 1982, 12483, 4, 123736, 42023, 119055, 13845, 4944, 12483, 7369, 42542, 1470, 75230, 4667, 10069, 10213, 3131, 5666, 54260, 2648, 17310, 12183, 119859, 69106, 72577, 17190, 1982, 12483, 2200, 123736, 42023, 119055, 13845, 4944, 12483, 7369, 42542, 1470, 75230, 4667, 220224, 1211, 4838, 6235, 23822, 54260, 6093, 14004, 2648, 2205, 10676, 6, 76776, 10918, 232187, 1644, 12483, 6, 109995, 705, 4151, 1470, 54260, 5666, 7201, 26612, 104238, 14856, 110970, 12483, 59919, 29659, 183512, 4, 4151, 24012, 13982, 18640, 82576, 6, 109995, 3120, 32054, 54260, 506, 54260, 2882, 9424, 54260, 98833, 4, 36324, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 3056, 4838, 45521, 48974, 119718, 186955, 18640, 17310, 5, 119718, 16011, 21106, 2648, 1751, 75230, 1211, 6, 101328, 224220, 35596, 9221, 12483, 2200, 7369, 21733, 6093, 12483, 1285, 201548, 4, 163139, 1982, 21106, 2648, 18225, 163139, 1644, 6, 101328, 165284, 79761, 12483, 1285, 123736, 1982, 29659, 75322, 17310, 3120, 10676, 6235, 13458, 75230, 4667, 2205, 26612, 6, 119859, 69106, 2190, 5666, 22426, 23173, 2882, 54260, 2808, 152185, 4838, 33716, 4, 107776, 18225, 3069, 4151, 40653, 8300, 54260, 2932, 17310, 4, 165592, 20033, 151614, 1982, 12483, 1470, 30682, 3120, 4151, 9424, 54260, 2882, 3120, 14856, 110970, 12483, 101146, 9134, 5, 1285, 201548, 68313, 6, 47351, 120202 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59919, 3120, 4838, 1751, 46545, 13845, 6, 75290, 149364, 73784, 17824, 75230, 2702, 12483, 4, 43649, 23173, 165354, 4, 21106, 2865, 91595, 93975, 1211, 4269, 64260, 5, 6255, 119055, 13845, 81444, 132025, 238144, 104149, 230764, 10676, 21776, 124740, 2882, 40096, 69355, 45521, 93509, 15435, 65482, 160238, 3131, 109226, 4, 199145, 6255, 151614, 1982, 6235, 28726, 104149, 5, 4944, 10069, 3069, 6, 59919, 105235, 42023, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 65146, 18225, 132025, 101470, 1470, 54260, 23269, 3120, 6, 64260, 1285, 29434, 54260, 32887, 29766, 710, 12483, 152, 1285, 15622, 15231, 69181, 123073, 15, 2808, 75230, 2702, 24012, 34709, 710, 4944, 4484, 54260, 125830, 63864, 905, 26612, 4944, 12483, 247, 1285, 81414, 1982, 203387, 15, 4944, 10069, 3069, 130170, 3131, 54260, 20315, 1211, 1470, 54260, 1211, 11139, 2882, 69355, 26, 2050, 221895, 1211, 247, 2200, 1285, 30109, 18406, 18415, 29766, 17645, 5, 20033, 119055, 109316, 1211, 1285, 32887, 29766, 710, 12483, 1982, 21106, 2648, 10213, 236376, 12483, 5, 13159, 3056, 182261, 564, 37016, 84577, 4, 36324, 64699, 76961, 163139, 1644, 20315, 6, 61541, 75290, 151614, 1982, 12483, 8903, 506, 21106, 96986, 2200, 202446, 12483, 125523, 1470, 56169, 1285, 201548, 187055, 4838, 5332, 46244, 119055, 40920, 710, 12483, 8903, 13458, 75230, 4667, 2200, 36324, 564, 54260, 220224, 76961, 3056, 15, 119718, 710, 1470, 54260, 1211, 6235, 28726, 46244, 16932, 6, 225975, 2882, 16, 137, 14004, 46244, 80453, 129071, 152185, 119055, 77188, 123736, 1982, 8903, 119718, 710, 29659, 6235, 8903, 22492, 88680, 10676, 177157, 1982, 39083, 15533, 102756, 4, 119718, 120467, 22753, 29434, 93449, 1470, 75230, 2702, 2909, 2200, 4151, 10339, 129071, 4, 36324, 22753, 65146, 564, 54260, 4838, 3373, 4667, 6, 61541, 75290, 105235, 24621, 6235, 101296, 40920, 119055, 6093, 12483, 7265, 4838, 43649, 54260, 1211, 4, 6319, 68558, 23165, 10213, 238144, 104149, 4, 165592, 22753, 3056, 3069, 194706, 6, 130991, 125523, 3120, 26, 2050, 9424, 54260, 2882, 21106, 16932, 4, 119055, 12483, 14856, 110970, 12483, 85465, 200117, 12483, 125523, 7243, 6235, 119718, 10705, 16803, 132025, 13342, 2808, 159696, 16747, 12483, 95455, 1470, 54260, 104149, 56170, 4838, 14856, 101608, 5, 36324, 1285, 6, 170895, 10339, 147713, 12483, 3120, 2190, 16747, 135118, 149010, 9424, 54260, 96986, 7746, 46855, 220224, 1211, 4, 68313, 1751, 75230, 1211, 3120, 6, 71804, 23405, 4838, 10339, 39083, 29659, 186797, 45521, 16803, 8903, 4852, 21660, 16932, 364, 34533, 29766, 152185, 7201, 129071, 5, 95298, 564, 54260, 220224, 10339, 147713, 2882, 95455, 220224, 1211, 4838, 158504, 4, 230764, 119055, 13845, 4944, 12483, 6, 104985, 10069, 6, 195054, 123073, 194734, 151614, 1982, 12483, 6235, 506, 40096, 4838, 198754, 152, 1285, 7195, 12130, 4, 1285, 6235, 29771, 107182, 93497, 4, 1285, 66616, 226112, 113889, 51723, 4, 1285, 66616, 226112, 203749, 12483, 2200, 1285, 22518, 54260, 75578, 3120, 1285, 506, 63188, 171433, 7972, 55823, 1211, 15, 10069, 364, 54260, 7972, 8903, 9424, 54260, 4944, 172398, 194, 2205, 1470, 75230, 34575, 21106, 710, 12483, 4, 2205, 4838, 94626, 46985, 4, 2205, 36324, 710, 12483, 3056, 1285, 201548, 55242, 46244, 45521, 93509, 80453, 54260, 2882, 5, 36324, 75230, 3056, 22753, 1470, 75230, 4667, 8903, 159696, 1211, 55242, 46244, 6, 59919, 13458, 54260, 18415, 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 ]
[ 9424, 119718, 40697, 1211, 1285, 4838, 46685, 7682, 48904, 40697, 22639, 10069, 48904, 6093, 5, 12231, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 1982, 54260, 1285, 14856, 140229, 78683, 59461, 10339, 147713, 2882, 6, 225975, 23173, 95455, 6, 23173, 75230, 2702, 2932, 21660, 75230, 2932, 65482, 564, 137119, 124724, 87442, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 73784, 56040, 62560, 4838, 75386, 30109, 18406, 5, 72631, 7682, 17494, 2865, 186797, 3069, 4151, 10339, 48775, 8903, 4, 199145, 3056, 1285, 34482, 170355, 107581, 4, 36324, 1285, 30750, 3131, 5666, 54260, 2648, 17310, 3056, 215031, 45521, 93509, 80453, 54260, 18415, 16932, 6235, 13458, 75230, 4667, 4, 6235, 7916, 49008, 20033, 564, 54260, 2808, 54260, 1211, 1470, 75230, 205416, 10676, 6, 119859, 69106, 6, 203749, 40697, 1211, 6, 35596, 59919, 230764, 4151, 6093, 3131, 16932, 32887, 29766, 17645, 4, 230764, 4151, 6, 5, 31623, 7972, 4944, 4484, 54260, 2882, 6, 80885, 29766, 17645, 152, 13159, 2205, 55242, 46244, 7243, 119055, 26612, 506, 93509, 54260, 5666, 32792, 4, 36324, 95455, 46855, 4852, 54260, 1211, 107776, 3120, 10676, 119718, 10705, 110970, 3069, 220224, 1211, 7508, 54260, 1211, 2200, 7746, 3069, 6, 59919, 87637, 96986, 11211, 25222, 161829, 4, 6, 238144, 1644, 6, 172060, 185226, 10069, 163139, 1644, 20315, 11139, 33056, 4, 199145, 11211, 96986, 123736, 1982, 4838, 2050, 167048, 141847, 80885, 1211, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 151614, 1982, 12483, 6319, 54260, 1211, 69529, 1470, 88945, 4113, 3120, 7508, 54260, 20260, 54260, 2882, 5, 874, 48904, 107581, 151614, 1982, 12483, 6235, 20315, 185226, 6, 97634, 46685, 3056, 1285, 201548, 1470, 54260, 5666, 8903, 111684, 33716, 6235, 119718, 29766, 12483, 6, 159696, 8903, 1211, 17824, 13159, 123073, 80839, 40920, 1982, 23173, 4484, 54260, 2882, 2819, 3056, 95455, 1470, 75230, 4667, 7243, 178748, 32792, 132025, 13342, 101470, 4, 238144, 1644, 4838, 3373, 4667, 67882, 4944, 12483, 1285, 201548, 6, 119859, 69106, 2190, 5666, 7201, 39083, 29659, 186797, 4, 9915, 54260, 20315, 1211, 219514, 200117, 4838, 19302, 54260, 119132, 20585, 3120, 7508, 6093, 160238, 506, 75230, 2882, 4, 199145, 95455, 42542, 7243, 67882, 4944, 12483, 4484, 54260, 1211, 17824, 75230, 36419, 6, 192539, 17310, 2205, 10676, 74806, 1644, 91595, 149010, 1211, 6, 59919, 39340, 46244, 5, 68313, 23165, 1285, 9424, 238144, 18415, 32887, 29766, 17645, 6, 120749, 18640, 4, 3056, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 26612, 3373, 15289, 78956, 3069, 4151, 4484, 171428, 4838, 10213, 29659, 52480, 96986, 198836, 5666, 4, 36324, 75230, 163139, 874, 48904, 107581, 10213, 506, 75230, 22426, 96986, 705, 36324, 13845, 107581, 3373, 159390, 21923, 81444, 2819, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 564, 54260, 10069, 49920, 6093, 120467, 15, 95766, 4838, 94626, 46985, 16, 119055, 6093, 12483, 1470, 75230, 2702, 8903, 506, 129071, 1285, 160238, 6093, 29659, 21660, 54260, 42023, 4, 119055, 12483, 4151, 4231, 17310, 6093, 6, 212915, 119055, 77188, 74806, 1644, 91595, 49268, 54260, 6293, 5, 8947, 3056, 95298, 3131, 159696, 2442, 132025, 13342, 101470, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4838, 75386, 6, 47351, 130170, 3131, 54260, 2648, 17310, 2702, 144754, 13845, 4, 159696, 1211, 18225, 564, 123073 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 35596, 4, 36324, 95455, 123736, 48974, 47351, 3056, 64699, 47783, 45521, 38054, 87442, 5, 26612, 2050, 564, 13159, 96986, 6, 59919, 105235, 506, 12483, 20033, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 119055, 12483, 20033, 6, 101470, 6, 68558, 1285, 29434, 710, 18415, 32887, 29766, 17645, 4, 1285, 6, 101146, 32887, 29766, 17645, 152, 1285, 201548, 3056, 1982, 54260, 76961, 6, 61541, 75290, 2200, 11139, 33056, 4, 199145, 6235, 13458, 75230, 4944, 12483, 22753, 4, 4838, 30109, 18406, 2200, 34076, 54260, 1982, 8300, 54260, 15231, 2932, 4838, 6, 56052, 1470, 54260, 5666, 111684, 2442, 17310, 2205, 4838, 21776, 7972, 46677, 39293, 73095, 146873, 5, 2190, 107182, 14088, 159696, 25207, 1211, 4151, 1982, 54260, 6235, 101296, 40920, 4838, 874, 43178, 8903, 21776, 7972, 46677, 39293, 9424, 123073, 87311, 7511, 12483, 2200, 874, 48904, 30750, 874, 39083, 6, 119859, 69106, 6235, 506, 54260, 24621, 4, 119055, 10705, 129165, 2865, 20315, 151614, 1982, 12483, 6319, 54260, 1211, 3069, 65848, 2882, 5, 564, 54260, 24621, 46244, 123073, 163139, 1644, 20315, 6, 61541, 75290, 67882, 40920, 18225, 56170, 4151, 172312, 4838, 6, 56052, 10213, 3131, 5666, 54260, 2648, 17310, 9213, 564, 54260, 2050, 22639, 195054, 9213, 564, 54260, 2050, 874, 54260, 20315, 1644, 4, 95455, 3056, 9747, 220224, 1470, 54260, 57619, 905, 111684, 25207, 1211, 2205, 10676, 17190, 1982, 12483, 3120, 7508, 54260, 55823, 14856, 110970, 12483, 5, 6, 104985, 564, 54260, 155787, 12483, 3056, 10069, 201548, 7243, 6319, 54260, 1211, 1470, 54260, 5666, 111684, 2442, 17310, 4, 6, 238144, 1644, 22753, 119055, 77188, 6235, 101296, 40920, 36324, 75230, 94626, 506, 2819, 8947, 3056, 6, 104985, 4838, 21776, 7972, 46677, 168155, 2200, 177157, 1982, 39083, 152185, 6235, 13458, 75230, 4667, 4, 199145, 10069, 160238, 506, 75230, 2882, 11591, 68313, 98252, 8903, 90536, 1982, 12483, 4838, 75386, 6, 47351, 7369, 170355, 7611, 56170, 4838, 14856, 110970, 12483, 101146, 1211, 5, 4151, 14004, 2648, 152185, 6235, 28726, 46244, 16932, 6, 88660, 506, 44478, 10213, 236376, 1285, 201548, 564, 54260, 10213, 29659, 710, 188201, 4838, 48775, 1982, 40697, 11139, 33056, 4, 4838, 75386, 4838, 45521, 17800, 54260, 186461, 17310, 3120, 4151, 7369, 8300, 75230, 8903, 83182, 6319, 48775, 23741, 4, 3120, 4151, 6319, 48775, 23741, 3069, 10213, 141562, 40920, 12483, 5, 564, 54260, 155787, 12483, 3056, 10069, 201548, 6235, 159696, 1211, 47783, 55242, 46244, 364, 54260, 186461, 5, 220224, 123073, 6, 225399, 10339, 147713, 12483, 6, 225975, 12483, 4, 165592, 1285, 201548, 3056, 36324, 75230, 163139, 40920, 18640, 4, 36324, 364, 52480, 13845, 2200, 7369, 2648, 364, 21106, 96986, 7746, 6, 104985, 103854, 4151, 7369, 46590, 17310, 3120, 7369, 138733, 506, 5, 6319, 54260, 1211, 6, 170355, 4667, 10339, 147713, 2882, 1285, 155787, 12483, 42493, 36324, 75230, 564, 54260, 4852, 67882, 4944, 12483, 2205, 4151, 9424, 54260, 2882, 3120, 10676, 200795, 1211, 6, 68566, 4944, 40697, 1211, 2808, 54260, 5666, 21066, 24244, 2205, 112216, 28726, 73215, 76776, 4, 163139, 3069, 55242, 506, 12483, 4, 36324, 1285, 4838, 21087, 9719, 71804, 205416, 40697, 2808, 88945, 1211, 4, 9747, 216333, 6, 113889, 4944, 13342, 26612, 506, 51723, 1285, 6, 68566, 4944, 12483, 2205, 1285, 145813, 710, 109316, 1211, 4, 564 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 159696, 1644, 107581, 18225, 3056, 6235, 159696, 1211, 3523, 92605, 29060, 4, 151614, 1982, 12483, 37729, 4838, 6235, 119718, 710, 36419, 120202, 6093, 26612, 10918, 68558, 4852, 18167, 6235, 212484, 2882, 98252, 67882, 4944, 12483, 4838, 6, 56052, 160238, 506, 75230, 2882, 5, 10069, 160238, 506, 75230, 2882, 1982, 54260, 114955, 199145, 119055, 6093, 12483, 42493, 6235, 26, 17017, 26, 2882, 4, 2200, 199145, 21923, 133190, 2865, 21106, 4, 3056, 2181, 72577, 2205, 1285, 200795, 193012, 125523, 4151, 6235, 28317, 2882, 1285, 160238, 506, 75230, 2882, 6, 23173, 75230, 7201, 13342, 32670, 12483, 4, 40653, 10676, 145813, 710, 147455, 12483, 16175, 54260, 1644, 3120, 26, 2050, 115825, 2648, 4, 36324, 75230, 238144, 2882, 125523, 7508, 7682, 159696, 33716, 2702, 163139, 3373, 26, 68313, 178748, 32792, 5, 95455, 3056, 1285, 147582, 40920, 3120, 20315, 2050, 81444, 20911, 29766, 199145, 45223, 23741, 3069, 4151, 6, 35596, 12890, 16747, 17310, 5, 36324, 75230, 163139, 1285, 81444, 20911, 75230, 16847, 3120, 77775, 10339, 26612, 123559, 12483, 21923, 42493, 6235, 119718, 29771, 5594, 13497, 95455, 3069, 6, 80264, 4, 159696, 2882, 8947, 220224, 1211, 3523, 75230, 15231, 2932, 220224, 3069, 4151, 87311, 49008, 6, 159696, 8903, 1211, 10676, 4, 564, 54260, 4231, 65482, 56170, 123559, 12483, 119055, 10705, 18225, 37826, 42493, 2205, 22753, 49008, 95455, 192544, 46855, 3069, 220224, 1211, 5, 4151, 2648, 218241, 205416, 6, 94741, 63020, 4838, 42493, 6, 95494, 63020, 4, 165284, 2865, 22426, 18640, 224252, 15529, 96302, 13845, 657, 54260, 40920, 10213, 159696, 8903, 1211, 2205, 4151, 160238, 506, 75230, 2882, 4, 9747, 7746, 3069, 40653, 8300, 54260, 8903, 1211, 1470, 75230, 1982, 95455, 364, 54260, 18415, 1644, 3056, 42493, 7369, 2932, 45631, 3069, 8903, 21733, 4113, 22426, 2882, 73784, 115825, 2648, 2819, 1470, 75230, 1982, 3373, 26, 95766, 4, 119055, 77188, 1285, 13342, 2808, 119718, 92605, 2702, 17310, 7265, 21776, 2050, 224252, 15529, 96302, 10339, 208048, 83182, 8903, 2882, 54260, 21295, 5, 4151, 113889, 4667, 6, 32670, 2882, 7369, 657, 54260, 40920, 1285, 160238, 506, 75230, 2882, 6, 23173, 75230, 6293, 5, 3120, 6428, 47351, 6, 68558, 170479, 1285, 10339, 147713, 6093, 8580, 84475, 1285, 7038, 16932, 177274, 1211, 166464, 1285, 160238, 506, 75230, 2882, 1470, 54260, 1211, 874, 39083, 6, 23173, 75230, 7201, 32670, 12483, 2200, 98252, 4838, 90848, 1982, 212484, 12483, 4, 9747, 22753, 170479, 42493, 3069, 2808, 119718, 92605, 2702, 12483, 2200, 1470, 75230, 4667, 13342, 1644, 17645, 1982, 7508, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 5, 1470, 75230, 1982, 18225, 6, 105515, 2181, 42493, 4, 42542, 95455, 192544, 4838, 87311, 76866, 54260, 20315, 1211, 37729, 10676, 4, 1751, 109636, 16932, 5, 95298, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 3056, 10069, 160238, 506, 75230, 2882, 3120, 6235, 28317, 2882, 1470, 75230, 2702, 6, 120749, 18640, 10213, 159696, 2932, 32792, 2200, 119055, 10705, 22753, 3056, 14889, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 219947, 4, 119055, 77188, 22753, 14856, 46244, 80885, 16667, 6, 120749, 18640, 2205, 1285, 145813, 29060, 123073, 114955, 101328, 46244, 12483, 4, 1470, 17310, 73381, 20616, 2442, 3069, 361, 78278, 483, 6, 101328, 46244, 5, 7916, 87311, 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 ]
[ 2702, 10069, 10184, 87311, 30473, 2702, 3056, 4838, 45521, 189623, 61397, 17310, 3120, 4151, 7201, 29766, 506, 75230, 2882, 36324, 75230, 36324, 1285, 1470, 54260, 4944, 13845, 42542, 42493, 190800, 2932, 21660, 75230, 8903, 1211, 119055, 6093, 12483, 37729, 1285, 160238, 506, 75230, 2882, 5, 22753, 42542, 220224, 1211, 7369, 119718, 29766, 1982, 12483, 84475, 6, 48904, 8903, 1982, 29766, 12483, 5, 22753, 42542, 220224, 1211, 7369, 119718, 29766, 1982, 12483, 37729, 6, 35596, 10918, 16747, 109226, 2200, 1751, 159696, 1644, 109226, 4838, 75386, 4838, 7201, 39083, 8903, 3120, 73095, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 5, 564, 54260, 6, 104985, 119718, 120467, 160751, 75230, 2442, 65482, 114955, 42542, 22753, 220224, 1211, 56170, 47351, 4, 4944, 64260, 3131, 1285, 114955, 21923, 6235, 4852, 88917, 5, 95455, 364, 54260, 16803, 6, 47351, 7916, 2932, 5, 8892, 292, 10184, 87311, 30473, 2702, 6, 48904, 8903, 1982, 29766, 65482, 10184, 87311, 30473, 2702, 5, 119055, 12483, 95455, 3056, 4151, 10339, 21106, 192575, 18225, 1285, 160238, 506, 75230, 2882, 1470, 54260, 110970, 5666, 54260, 20315, 1211, 5, 26612, 3373, 4667, 84475, 6, 159696, 110317, 114955, 705, 26612, 40026, 506, 6093, 161459, 6, 80453, 29789, 26, 13497, 37640, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 37826, 4852, 18167, 6, 75322, 39083, 1470, 75230, 2702, 8903, 1982, 54260, 4852, 77188, 230764, 34654, 32054, 75230, 12483, 4, 199145, 151614, 1982, 12483, 42493, 6235, 3111, 2932, 16580, 83182, 5, 7369, 37826, 10213, 506, 75230, 22426, 18415, 2882, 4, 36324, 215031, 6, 56052, 98252, 506, 186955, 17310, 3056, 36324, 13845, 1982, 16803, 87311, 38054, 3120, 10676, 6, 119859, 57619, 12483, 10339, 39083, 4484, 5, 20632, 4, 119055, 109316, 1211, 20033, 81444, 55242, 42023, 4, 2808, 75230, 1982, 7369, 37826, 198754, 84475, 8947, 151614, 1982, 12483, 198754, 1285, 4, 119055, 13845, 107581, 6, 225975, 12483, 4, 36324, 2648, 120467, 3056, 220273, 4838, 45521, 207650, 101608, 17310, 3120, 10676, 10339, 39083, 4484, 15, 2442, 54260, 2702, 107020, 80453, 47709, 119718, 96302, 2702, 4, 2200, 7243, 6319, 54260, 1211, 7508, 54260, 2702, 6, 202075, 54260, 2648, 5, 16, 104985, 4, 1470, 54260, 35189, 20033, 6, 35596, 59919, 12483, 230764, 4151, 10339, 48775, 8903, 37189, 27720, 4, 657, 29771, 62808, 30750, 236376, 12483, 4, 56170, 199145, 178766, 6, 80453, 48350, 15435, 35596, 4, 2200, 7265, 1470, 30682, 76961, 874, 232187, 2442, 4944, 12483, 4, 364, 21106, 96986, 2205, 1470, 54260, 1211, 657, 75230, 1982, 12483, 2200, 31807, 75230, 49008, 1285, 6, 109600, 61397, 4, 199145, 151614, 1982, 12483, 4838, 3373, 4667, 114955, 5, 8947, 3056, 6, 119859, 69106, 1470, 54260, 5666, 7201, 26612, 4667, 152, 6, 238144, 1644, 220224, 151614, 1982, 12483, 215031, 2808, 41595, 6093, 13159, 5, 4838, 75386, 49920, 86733, 2200, 4838, 75386, 6, 59919, 186145, 16932, 3120, 34654, 49920, 3131, 43178, 25207, 21733, 59929, 12483, 4, 51678, 220224, 6, 104985, 5332, 215052, 34533, 9221, 12483, 2200, 119055, 92605, 2702, 12483, 4, 119055, 12483, 220224, 151614, 1982, 12483, 8903, 3111, 2932, 121193, 91595, 4, 199145, 170479, 12483, 151614, 25207, 159696, 1211, 56170, 220224, 4, 199145, 170479, 12483, 220224, 1211, 1285, 101296, 36419, 4, 119055, 13845, 107581, 18225, 42542 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6319, 23269, 96986, 4, 199145, 170479, 12483, 3944, 59919, 12483, 1285, 3523, 23173, 12483, 4944, 10069, 2205, 1285, 49920, 86733, 3069, 34076, 75230, 1982, 12483, 2200, 220224, 3069, 10339, 77188, 54260, 196332, 1211, 5, 2200, 7265, 26612, 3373, 4667, 84475, 163139, 110317, 114955, 705, 8821, 10069, 117902, 69181, 40697, 2200, 5332, 88660, 113889, 2865, 40697, 43393, 10954, 448, 6, 141847, 6, 59919, 152440, 22426, 2882, 21923, 10069, 6, 138763, 448, 3120, 76961, 6, 97933, 4, 119055, 13845, 107581, 364, 21106, 96986, 2205, 1470, 54260, 1211, 1470, 54260, 50856, 16870, 12483, 10676, 111215, 4, 36324, 18225, 6, 94741, 63020, 42493, 123736, 1982, 238144, 4944, 12483, 3120, 3523, 64260, 26, 2702, 6, 159696, 2932, 4, 36324, 75230, 163139, 2205, 21106, 4113, 51723, 4, 36324, 75230, 1470, 75230, 4667, 42493, 2205, 114955, 151614, 1982, 12483, 5, 95455, 77775, 137, 4852, 18167, 59919, 24621, 46244, 12483, 36324, 75230, 163139, 1285, 1751, 16932, 12483, 2205, 364, 52480, 13845, 2200, 6150, 75230, 163139, 95455, 6, 235210, 2648, 1982, 54260, 1211, 6, 448, 2004, 3056, 4838, 6, 119859, 69106, 44917, 76216, 35596, 32054, 54260, 13497, 13845, 3120, 4151, 10213, 506, 75230, 22426, 2882, 17310, 36324, 2648, 120467, 10339, 39083, 4484, 2205, 6, 104985, 72577, 4838, 75386, 137, 17268, 16932, 15, 3131, 22426, 54260, 4852, 16, 56170, 213909, 239162, 1211, 2004, 84475, 26612, 46590, 905, 4838, 75386, 37640, 16932, 56170, 67882, 16629, 49008, 5, 13159, 21923, 95298, 81444, 160238, 2882, 8903, 25391, 15907, 65482, 14856, 110970, 12483, 4, 199145, 364, 21106, 96986, 95766, 7508, 6093, 10213, 32670, 17310, 7265, 189631, 159696, 21295, 84475, 7265, 6, 78683, 15533, 6093, 163139, 10125, 13845, 2050, 5, 2200, 34654, 39293, 119055, 39083, 2882, 6255, 6235, 119718, 39083, 2882, 1470, 75230, 42410, 44478, 12483, 4, 6150, 220224, 21923, 230764, 4838, 10339, 21106, 3131, 12483, 6, 159696, 2932, 4, 36324, 220224, 6, 212484, 12483, 7746, 123736, 1982, 5666, 23173, 12483, 3120, 4838, 117902, 93509, 12483, 21733, 23174, 186797, 4113, 10339, 48775, 104149, 5, 220224, 6, 225975, 12483, 4, 36324, 220224, 163139, 1644, 12483, 151614, 1982, 12483, 199145, 24621, 46244, 114955, 4, 9747, 4, 200795, 16667, 4, 7746, 7243, 123736, 1982, 13342, 2808, 159696, 16747, 12483, 3120, 1285, 3523, 40096, 9221, 149010, 6235, 55823, 54574, 12483, 4, 2200, 4, 9424, 238144, 18415, 16667, 4, 9747, 3069, 7369, 32670, 12483, 199145, 14856, 46244, 7201, 99766, 8903, 25391, 15907, 65482, 14856, 110970, 12483, 4, 199145, 170479, 12483, 51678, 6, 238144, 16932, 10184, 46244, 12483, 10676, 78683, 2865, 22426, 6293, 6235, 8903, 1211, 1285, 21776, 92605, 10918, 239162, 25207, 1211, 2819, 220224, 163139, 1644, 12483, 151614, 1982, 12483, 199145, 14856, 46244, 25207, 119718, 39083, 92866, 24001, 59461, 12483, 2205, 220224, 6093, 32054, 54260, 506, 54260, 125830, 23173, 24621, 4113, 5, 2808, 75230, 6293, 4151, 10339, 48775, 8903, 1470, 75230, 2702, 111684, 2442, 32792, 3069, 6, 35596, 59919, 12483, 4, 119055, 39083, 2882, 18225, 6, 61397, 192575, 2882, 22518, 54260, 1982, 12483, 4838, 6, 119859, 69106, 6, 229340, 5, 6255, 163139, 1644, 81444, 105687, 2205, 58571, 26394, 1211, 30750, 236376, 12483, 76961, 220224, 96986, 3120, 4151, 10339, 48775, 8903, 5, 6093, 105235, 16667, 4, 6, 238144, 16803, 148932, 4, 36324, 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 ]
[ 3373, 4667, 895, 16932, 1211, 4, 199145, 21923, 7511, 2882, 9213, 73375, 2932, 80839, 2050, 4, 10339, 39083, 8903, 1211, 42493, 1285, 21776, 7972, 46677, 39293, 4, 42493, 1285, 117902, 69181, 40697, 21660, 850, 2200, 1470, 75230, 4667, 7243, 1285, 6, 172060, 80885, 10339, 48775, 104149, 3120, 1285, 6, 90848, 2865, 84577, 40697, 21776, 119718, 39083, 92866, 24001, 59461, 12483, 5, 6, 119859, 69106, 3120, 7746, 6, 21106, 54260, 1211, 55242, 506, 12483, 220224, 199145, 14856, 46244, 3069, 10213, 23847, 65482, 26394, 1211, 1285, 9424, 29771, 54574, 3120, 220224, 123073, 114955, 4, 2200, 119055, 12483, 220224, 151614, 1982, 12483, 42493, 10676, 8903, 119718, 24295, 105235, 1211, 7369, 7201, 39083, 2932, 4, 10184, 54574, 12483, 220224, 7746, 6, 57277, 16580, 564, 54260, 177274, 1211, 3069, 2808, 119718, 92605, 2702, 12483, 69355, 220224, 6093, 10339, 26612, 123559, 4113, 55242, 46244, 1470, 17310, 105330, 32792, 5, 657, 54260, 35189, 95298, 188485, 7511, 2882, 76961, 895, 16932, 1211, 95455, 207013, 4, 2200, 4151, 7201, 23173, 2205, 8947, 47783, 7511, 8300, 32792, 3069, 105884, 12483, 4151, 69355, 5, 874, 48904, 107581, 163139, 36419, 191538, 23741, 114349, 114436, 2205, 64751, 20260, 2442, 54260, 4667, 4, 2205, 6, 141847, 212394, 2200, 2205, 221895, 657, 192539, 151614, 1982, 12483, 7746, 8947, 6, 225975, 23173, 8903, 101296, 40920, 3069, 220224, 6093, 17190, 1982, 172398, 2808, 75230, 7201, 119859, 30750, 3069, 6, 59919, 13458, 54260, 96986, 1285, 1470, 88945, 73381, 2884, 4151, 564, 174798, 135118, 17310, 3120, 4151, 114955, 36723, 76216, 1644, 5, 11648, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 26612, 46590, 905, 1285, 4, 199145, 8248, 4944, 12483, 42493, 3120, 32054, 54260, 6093, 3069, 6, 59919, 87637, 96986, 6319, 54260, 1211, 3131, 119718, 48904, 61397, 95494, 23741, 4, 119055, 141943, 12483, 55242, 46244, 123736, 23741, 6, 68558, 76961, 2442, 1644, 54260, 7265, 13845, 9747, 3069, 59919, 87637, 83182, 12483, 2190, 76776, 23405, 65482, 24621, 6235, 28317, 96986, 4, 220224, 8248, 4944, 12483, 123736, 1982, 13342, 23822, 54260, 1982, 12483, 95455, 16580, 16747, 2819, 220224, 119055, 141943, 12483, 6, 68558, 10676, 6319, 171127, 149010, 1211, 874, 22426, 15350, 5, 2200, 2205, 10676, 51678, 62808, 6, 57277, 39340, 6235, 7916, 49008, 6, 47351, 6, 23173, 26217, 96302, 56170, 1285, 40026, 506, 8300, 54260, 15231, 8903, 6, 148346, 6093, 117574, 17310, 3120, 1751, 119718, 48904, 61397, 119055, 6093, 12483, 5, 200795, 16667, 4, 4838, 46590, 905, 1285, 7508, 23173, 7682, 21106, 80885, 69355, 1285, 1470, 75230, 1982, 141847, 43178, 84577, 4113, 163139, 2702, 43178, 95494, 23741, 149010, 116486, 22426, 64567, 104274, 34533, 12483, 10213, 236376, 12483, 4838, 75386, 4838, 10339, 139365, 25207, 4944, 12483, 3069, 4151, 26, 130734, 26, 171428, 1285, 80839, 40920, 95766, 4151, 67882, 195164, 657, 54260, 1982, 5, 9424, 238144, 18415, 16667, 4, 6235, 23269, 42023, 55242, 46244, 123736, 23741, 22518, 37016, 149010, 2808, 17310, 105330, 12483, 37729, 215031, 6, 80453, 125942, 125897, 5, 2181, 6, 104378, 160238, 6, 59919, 25222, 23741, 109226, 37729, 10069, 2190, 50856, 54260, 5666, 7972, 106504, 54260, 2882, 2200, 1285, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 1285, 4, 3069, 6, 159696, 51723, 1285, 22680, 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 ]
[ 12483, 119055, 141943, 12483, 7746, 4, 2200, 119055, 12483, 1285, 32054, 75230, 12483, 43649, 23173, 1982, 12483, 42493, 4151, 69355, 4, 43449, 54260, 1982, 97634, 23741, 220224, 6093, 6235, 119718, 50856, 3069, 29659, 77188, 56170, 26, 1211, 6, 119859, 57619, 12483, 17190, 1982, 12483, 5, 2205, 4838, 3373, 4667, 10339, 109316, 104378, 220224, 97995, 123736, 1982, 7265, 26, 1211, 6, 23173, 75230, 41643, 23173, 55823, 1211, 1470, 54260, 7511, 8903, 81444, 1644, 23173, 3069, 1285, 10339, 26612, 216501, 84577, 12483, 3120, 1751, 119718, 710, 47526, 6093, 40697, 7265, 13845, 4, 199145, 21923, 4838, 113889, 16667, 54196, 2190, 107182, 14088, 92500, 45223, 55823, 1211, 220273, 7243, 5, 119055, 12483, 18225, 10213, 236376, 1285, 76961, 101251, 105235, 16747, 12483, 4, 68313, 8947, 54745, 1211, 42493, 74806, 54260, 16932, 3069, 6, 59919, 87637, 96986, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 92500, 42493, 119055, 109316, 1211, 6, 89930, 3131, 16932, 12483, 1285, 80839, 40920, 4, 119055, 12483, 2181, 2205, 1751, 75230, 1211, 3069, 145813, 29060, 705, 119718, 710, 107776, 2181, 6150, 4838, 46590, 905, 7243, 1751, 57277, 24152, 1470, 75230, 111137, 21733, 6093, 18415, 14856, 110970, 12483, 119718, 15350, 12483, 42493, 151614, 1982, 12483, 3069, 7916, 13845, 114955, 705, 6, 238144, 1644, 220224, 10184, 54574, 12483, 7746, 7265, 220273, 219947, 6, 59919, 21066, 710, 40920, 29060, 3069, 4151, 6235, 39293, 1644, 95494, 23741, 4, 220224, 10184, 54574, 12483, 6319, 54260, 1211, 69529, 21066, 710, 40920, 3069, 6, 95494, 55823, 1211, 114955, 56170, 4151, 6235, 39293, 1644, 22492, 23741, 5, 220224, 163139, 1644, 12483, 6, 104985, 59919, 30473, 104238, 12483, 95455, 22639, 10069, 119718, 56570, 109316, 34076, 7682, 3120, 177274, 1211, 7265, 97594, 2648, 3120, 220224, 6093, 2808, 54260, 2932, 114436, 10339, 26612, 123559, 4113, 5, 2200, 2205, 10676, 151614, 1982, 12483, 220224, 198754, 5, 1285, 22518, 37016, 149010, 8903, 146887, 4, 199145, 364, 54260, 16803, 6235, 39293, 1644, 95494, 23741, 4, 364, 186955, 2205, 1470, 54260, 1211, 160238, 35189, 12483, 30109, 79174, 69355, 177274, 1211, 1470, 54260, 109985, 12483, 2200, 22753, 6235, 506, 2882, 8947, 220273, 42493, 6, 68558, 119055, 12483, 4151, 1470, 54260, 109985, 6093, 657, 54260, 20315, 2882, 37729, 9213, 46244, 5, 9213, 73375, 8903, 16667, 10339, 186955, 177274, 1211, 14856, 46244, 230764, 1285, 59919, 84577, 119718, 99766, 7972, 4944, 4484, 54260, 2882, 4, 199145, 7369, 235466, 230764, 7746, 4, 119055, 12483, 7369, 119055, 77188, 6, 40096, 174121, 4, 163139, 220224, 1211, 6, 225975, 43178, 84577, 4113, 147582, 40920, 3069, 4151, 6235, 39293, 139962, 145702, 84475, 3069, 14004, 95064, 16747, 119055, 13845, 4944, 12483, 221895, 1211, 42493, 6235, 29659, 75230, 8903, 119132, 43449, 29771, 6293, 4, 7265, 119055, 13845, 4944, 12483, 13159, 10213, 3111, 26394, 1211, 7746, 1285, 3523, 23173, 40697, 84475, 1751, 119718, 710, 47526, 6093, 40697, 6, 80453, 16870, 161459, 56170, 23847, 75230, 36419, 10339, 26612, 123559, 12483, 5, 18225, 178748, 6, 225975, 12483, 199145, 18225, 163139, 1644, 4, 3373, 26, 68313, 160238, 2882, 4838, 23847, 75230, 36419, 6, 59919, 84577, 119718, 99766, 7972, 4944, 4484, 54260, 2882, 114955, 3069, 6235, 75578, 12483, 2200, 42493, 3069, 163139, 2702, 12483, 54595, 18225, 42542, 220224, 45223, 55823, 1211, 46050, 8903, 1211, 4838, 72577 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4838, 34076, 7682, 32792, 17190, 1982, 12483, 5, 20033, 55242, 26612, 3373, 4667, 84475, 163139, 110317, 114955, 705, 14773, 49008, 42493, 6319, 54260, 1211, 2190, 5666, 59919, 29659, 186797, 4113, 212053, 4, 20033, 51678, 2190, 33716, 54260, 1644, 12483, 2200, 40653, 147713, 12483, 1470, 54260, 35189, 20033, 15864, 4944, 12483, 215031, 71180, 2882, 5, 51723, 119055, 39083, 2882, 241997, 6, 225975, 12483, 36324, 20033, 6, 238144, 2702, 12483, 7243, 4, 199145, 56170, 4838, 24621, 110970, 95455, 3069, 16580, 217814, 93975, 192544, 119055, 29060, 220224, 1211, 5, 2181, 3056, 95298, 47783, 55242, 46244, 119718, 20961, 3131, 54260, 5666, 32792, 4, 36324, 8947, 119055, 29060, 42493, 220224, 1211, 4838, 17824, 75230, 101608, 4, 45521, 506, 161459, 115222, 2865, 22426, 59919, 4, 13159, 119055, 29060, 33960, 104238, 220224, 1211, 4838, 108599, 26612, 6293, 84475, 4838, 190800, 117260, 2882, 149010, 2442, 4, 7265, 13845, 195164, 161459, 14856, 110970, 5, 2205, 177274, 1211, 10339, 21106, 42542, 8947, 2190, 112304, 29771, 119055, 76632, 61397, 220224, 1211, 47833, 1470, 75230, 2702, 76776, 36258, 24621, 110970, 4, 199145, 14856, 46244, 114955, 8947, 21923, 81444, 2205, 4151, 10213, 23822, 6093, 7201, 192539, 10339, 26612, 123559, 4113, 5, 199145, 14856, 46244, 114955, 4, 65146, 18225, 6, 21106, 7611, 2205, 14856, 506, 33716, 54260, 1644, 12483, 1470, 54260, 13497, 54260, 1644, 12483, 95455, 1751, 46545, 13845, 9721, 75230, 2882, 3120, 4151, 10339, 26612, 123559, 4113, 4, 292, 2200, 168892, 105884, 81444, 6, 104985, 3120, 4838, 68697, 54260, 16932, 7201, 26612, 123559, 12483, 292, 107776, 1470, 75230, 2702, 56170, 710, 16870, 12483, 119055, 76632, 61397, 9181, 23741, 4, 119055, 76632, 61397, 6, 99766, 73784, 620, 29771, 55823, 1211, 4, 119055, 76632, 61397, 19302, 54260, 35189, 4, 1285, 895, 16932, 1211, 51678, 7746, 119055, 76632, 61397, 123736, 1982, 8903, 1982, 12483, 7265, 177274, 1211, 1470, 54260, 119132, 4, 2648, 120467, 364, 54260, 16803, 4, 36324, 177274, 2702, 192544, 119055, 29060, 119055, 6093, 12483, 119055, 76632, 61397, 6235, 119718, 26612, 3131, 12483, 4, 119055, 29060, 159696, 25207, 1211, 14856, 46244, 7369, 8300, 75230, 8903, 1211, 2205, 4269, 59929, 2200, 119055, 29060, 220224, 1211, 119055, 76632, 61397, 130170, 10676, 2808, 54260, 5666, 21066, 24244, 3120, 1285, 895, 16932, 12483, 4, 95455, 192544, 119055, 29060, 7038, 104149, 14856, 46244, 2200, 40026, 506, 6093, 23173, 1982, 54260, 96986, 56170, 43393, 33534, 448, 2200, 119055, 76632, 61397, 212632, 5, 2200, 199145, 119055, 29060, 23173, 75230, 2702, 119718, 92605, 2702, 12483, 3120, 36324, 13845, 107581, 114955, 705, 115222, 2865, 22426, 59919, 56170, 4151, 3373, 29771, 10918, 21106, 6093, 25207, 119718, 39083, 10918, 68558, 4, 56170, 364, 75230, 107581, 1470, 88945, 21106, 12483, 4, 6319, 171127, 44478, 4, 14856, 110970, 12483, 3120, 4838, 17288, 104238, 4113, 165284, 55823, 705, 3523, 54260, 1211, 711, 2200, 119055, 12483, 6, 101328, 4838, 874, 39083, 4, 1470, 75230, 2702, 76776, 36258, 238144, 39293, 4, 292, 95766, 8947, 3069, 45521, 38054, 167622, 12483, 4838, 163139, 24152, 149010, 1211, 3069, 7201, 21106, 4, 84475, 564, 48350, 29771, 83182, 4113, 7243, 8903, 159696, 506, 5666, 149010, 101251, 105235, 16747, 12483, 5, 8947, 119055, 109316, 1211, 33960, 104238, 6, 23173, 75230, 2702, 104378, 108599, 23173, 55823, 1211, 4, 119055 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13845, 107581, 119055, 109316, 1211, 45223, 55823, 1211, 1285, 7508, 54260, 107581, 125523, 7508, 54260, 104238, 119055, 6093, 12483, 2200, 119055, 109316, 1211, 113889, 4667, 45521, 48974, 25207, 101608, 12483, 95455, 895, 141943, 3120, 1285, 1470, 75230, 4944, 8903, 1982, 75230, 18415, 18415, 4, 84475, 6, 59919, 84316, 109636, 1644, 18415, 14856, 110970, 12483, 4, 30109, 48904, 39340, 2205, 6, 75290, 149364, 2200, 2205, 4269, 54260, 16803, 5, 2200, 32054, 54260, 6093, 95766, 4151, 14856, 110970, 4, 14856, 46244, 9424, 54260, 2882, 3069, 6428, 135118, 12483, 2200, 14856, 46244, 187667, 3069, 6, 80264, 4, 14856, 46244, 59919, 29659, 48904, 2442, 7746, 3069, 21776, 119718, 39083, 2882, 9221, 12483, 2200, 14856, 46244, 1470, 75230, 2702, 30473, 40920, 230764, 7369, 7201, 39083, 29400, 64260, 7369, 4, 119055, 12483, 7369, 43649, 20616, 2882, 67882, 16932, 710, 13845, 216333, 4, 292, 42493, 119055, 12483, 1285, 5666, 75230, 2882, 29434, 93449, 1470, 30682, 6150, 75230, 3069, 4, 6150, 7369, 42542, 6, 104985, 6428, 135118, 12483, 6, 159696, 8903, 1211, 10676, 1751, 46545, 13845, 9721, 75230, 2882, 37640, 5666, 26, 2050, 1470, 75230, 8903, 5666, 181615, 4, 2200, 7243, 14856, 46244, 2200, 7243, 6, 238144, 16932, 5, 68313, 8947, 7243, 6235, 3111, 2932, 4, 199145, 1285, 895, 16932, 12483, 151614, 25207, 159696, 1211, 705, 56170, 199145, 9934, 29766, 1644, 12483, 220224, 125523, 160751, 12483, 220224, 123073, 1470, 75230, 1982, 75230, 16932, 199145, 14856, 46244, 3523, 54260, 874, 174121, 117997, 13342, 2050, 1470, 75230, 2702, 80453, 13159, 12483, 705, 56170, 199145, 107776, 220224, 1285, 43649, 54260, 6093, 705, 2200, 3120, 17537, 87680, 2442, 220224, 2882, 4, 163139, 36324, 75230, 170479, 12483, 1285, 895, 16932, 12483, 115222, 2865, 22426, 55823, 1211, 4, 163139, 36324, 75230, 16665, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 4852, 39083, 12483, 220224, 151614, 1982, 12483, 10676, 187667, 3069, 6, 34575, 54260, 165354, 4, 4838, 43649, 54260, 61397, 4, 84475, 3069, 225975, 12483, 4838, 620, 91595, 119055, 99766, 10676, 31807, 506, 45742, 4, 119055, 12483, 220224, 6, 238144, 2702, 12483, 4, 6150, 2205, 35189, 364, 54260, 2050, 7369, 119718, 23173, 2882, 220224, 4838, 364, 21106, 1982, 18133, 26394, 16747, 84475, 14856, 46244, 114955, 44779, 144754, 123736, 7201, 65482, 874, 54260, 44478, 705, 92500, 6428, 47351, 119055, 6093, 204982, 1285, 17824, 13159, 18415, 4, 64699, 1285, 4269, 48904, 26394, 9424, 29771, 54574, 3373, 39083, 94741, 96986, 2205, 34654, 1470, 54260, 90848, 109636, 2808, 40697, 657, 192539, 4, 119055, 10705, 148932, 6, 26892, 220224, 1211, 1470, 3373, 39083, 2648, 40096, 705, 1285, 123736, 12415, 24621, 657, 54260, 2882, 5, 56170, 199145, 107776, 8947, 1285, 1470, 75230, 2702, 1982, 75230, 16932, 705, 7511, 2882, 2190, 112304, 34533, 37826, 6, 76776, 204403, 28726, 68558, 6235, 225975, 2882, 125523, 4838, 620, 26612, 40920, 4, 119055, 10705, 7369, 37826, 59919, 1644, 29766, 12483, 10184, 109316, 16175, 75230, 4852, 192539, 3373, 39083, 94741, 96986, 152, 137, 95766, 1470, 54260, 1211, 112389, 2882, 119055, 29060, 62808, 1285, 43649, 99766, 186046, 15533, 98252, 67882, 4944, 12483, 36324, 75230, 10184, 13845, 3373, 39083, 94741, 96986, 6, 20971, 92500, 6428, 47351, 4, 564, 123073, 4944, 35596, 1285, 3373, 109636, 42180 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28726, 6, 59919, 38596, 71804, 7201, 17310, 3120, 4151, 22680, 39083, 29060, 23173, 152185, 7038, 16932, 4, 199145, 42542, 6319, 54260, 1211, 874, 39083, 42493, 5332, 22426, 13159, 55242, 42023, 4, 5332, 109636, 51437, 6093, 12483, 4, 5332, 22426, 13159, 212632, 4, 6, 238144, 1644, 22753, 3056, 47783, 6, 35596, 159696, 35189, 7265, 4838, 19302, 54260, 1211, 16580, 16747, 564, 54260, 4151, 9721, 71616, 84475, 7265, 1470, 192544, 2205, 564, 75230, 4667, 705, 22753, 3056, 42493, 24621, 46244, 163139, 4838, 6235, 28317, 2882, 101296, 16629, 1211, 4, 199145, 119055, 77188, 22444, 14004, 7511, 33716, 151614, 1982, 186797, 114955, 5, 2200, 119055, 12483, 18225, 10213, 20315, 185226, 4, 36324, 1285, 32054, 75230, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 145813, 710, 109316, 1211, 1285, 163139, 40920, 18640, 80885, 6, 90848, 28726, 2205, 4151, 21776, 119718, 39083, 92866, 24001, 59461, 6093, 10213, 159696, 2932, 17310, 711, 132, 2648, 120467, 3056, 6, 159696, 110317, 80885, 16667, 874, 54260, 1211, 874, 54260, 3111, 23405, 5, 16, 163139, 36324, 75230, 163139, 21295, 9213, 46244, 4, 2205, 10069, 182261, 93975, 101251, 105235, 16747, 12483, 4, 3069, 104378, 3069, 9213, 46244, 2190, 22753, 1470, 75230, 42410, 44478, 12483, 705, 159696, 1211, 18225, 10213, 236376, 6235, 5666, 75230, 6093, 163139, 6150, 75230, 1285, 6235, 46464, 166968, 54260, 2882, 3120, 1285, 16580, 83182, 119055, 77188, 10213, 2808, 54260, 5666, 21066, 71616, 3120, 220224, 6093, 3069, 17824, 75230, 101608, 9424, 29771, 54574, 4, 42542, 18225, 225975, 12483, 4, 36324, 56170, 4838, 3373, 4667, 114955, 119055, 39083, 2882, 8947, 10184, 13845, 216333, 6235, 159696, 1211, 4, 119055, 12483, 4852, 54260, 6, 104378, 220273, 7243, 230764, 4151, 6, 159696, 21295, 5, 16175, 75230, 4852, 192539, 114955, 119055, 6093, 12483, 8903, 1982, 75230, 25207, 1211, 3120, 15857, 7916, 69181, 40697, 4, 1751, 119718, 710, 16747, 30473, 40920, 93975, 4, 5332, 22426, 710, 28726, 22426, 2882, 40697, 895, 16932, 1211, 4, 119055, 13845, 107581, 160751, 12483, 220224, 220224, 123073, 30109, 48904, 15307, 54260, 96986, 15, 29771, 35189, 6, 48904, 54260, 2932, 17310, 3069, 1285, 30109, 48904, 15307, 54260, 96986, 16, 40653, 4838, 75386, 4838, 6, 142673, 506, 5, 1285, 16580, 83182, 151614, 1982, 12483, 1470, 6, 189069, 26, 158548, 17190, 1982, 12483, 5, 3056, 8947, 42493, 22518, 37016, 32792, 46711, 75230, 215206, 165592, 13845, 107581, 17190, 1982, 172398, 230764, 220224, 1211, 6235, 119718, 21292, 12483, 3069, 6, 226112, 8903, 1211, 705, 2200, 3056, 54745, 1211, 95455, 28726, 1982, 12483, 4, 199145, 1285, 6235, 46464, 152848, 116486, 1644, 29060, 23173, 63188, 137, 3131, 135118, 12483, 155, 220224, 123073, 114955, 2808, 3373, 4667, 14856, 46244, 119055, 77188, 705, 3056, 95455, 42493, 95455, 6235, 2932, 35596, 54260, 1644, 3120, 178766, 6235, 159696, 506, 5666, 149010, 1211, 10213, 68566, 6293, 3120, 17190, 1982, 12483, 705, 3056, 8947, 4838, 17190, 1982, 12483, 4, 119055, 12483, 18225, 37826, 1982, 54260, 9424, 238144, 6, 101328, 46244, 1285, 30109, 48904, 15307, 54260, 2882, 3120, 1285, 123736, 12415, 24621, 114955, 4, 1285, 6, 48775, 15949, 92178, 4, 1285, 6319, 113889, 4944, 12483, 25616, 48904, 15307, 54260, 2882, 4, 119055, 13845, 107581, 6, 59919, 84316, 109636, 21295, 2200, 67882, 40920, 506, 13159, 32792, 12065, 83182, 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 ]
[ 14856, 110970, 12483, 56170, 26, 1211, 6, 119859, 57619, 12483, 17190, 1982, 12483, 705, 3056, 8947, 4838, 26612, 3373, 4667, 84475, 163139, 110317, 114955, 705, 5046, 28726, 1982, 12483, 4, 119055, 12483, 6, 4, 16580, 83182, 4, 199145, 119055, 6093, 12483, 4838, 46590, 905, 160751, 75230, 25207, 1211, 3120, 6235, 46464, 152848, 895, 16932, 1211, 4, 10213, 104378, 55242, 46244, 40026, 506, 1285, 22518, 37016, 149010, 657, 109226, 3131, 119718, 710, 16747, 75230, 40920, 32, 3056, 8947, 4838, 17190, 1982, 12483, 4, 119055, 12483, 114955, 8947, 12483, 7746, 6319, 54260, 1211, 2865, 39083, 42493, 72577, 6, 68558, 4, 84475, 8947, 12483, 6319, 54260, 1211, 874, 39083, 7511, 2882, 95455, 4, 199145, 220224, 6093, 119055, 92605, 2702, 192539, 6, 75290, 149364, 6, 59919, 71804, 23405, 2882, 4, 2200, 119055, 12483, 220224, 6093, 6, 75290, 149364, 119055, 77188, 37729, 10676, 7201, 29766, 75578, 54260, 18415, 2882, 1470, 75230, 7201, 13342, 101470, 76961, 2442, 1644, 54260, 30109, 48904, 15307, 54260, 96986, 705, 3056, 8947, 76961, 1982, 12483, 4, 119055, 12483, 4838, 192544, 55242, 506, 2882, 6319, 54260, 1211, 221895, 6, 170355, 4667, 4, 1470, 75230, 101608, 63259, 10918, 8903, 4269, 59929, 12483, 2200, 33718, 20260, 109316, 21422, 46685, 4, 119055, 10705, 2205, 1285, 163139, 20260, 4113, 44779, 7369, 119718, 23173, 96986, 1470, 30682, 1644, 54260, 20315, 1211, 2200, 30109, 48904, 15307, 54260, 96986, 705, 2200, 2205, 36324, 13845, 107581, 101251, 105235, 16747, 12483, 4, 199145, 159696, 33716, 3120, 1285, 114955, 705, 14856, 110970, 12483, 705, 3523, 54260, 1211, 5, 9424, 87309, 29771, 4944, 65482, 4, 210346, 25207, 4, 3131, 119718, 26612, 107581, 3523, 121495, 7265, 5332, 1982, 12483, 36324, 13845, 107581, 6, 75290, 149364, 4, 199145, 17190, 1982, 12483, 120202, 220224, 6093, 73486, 26394, 9424, 54260, 2882, 2205, 657, 54260, 20315, 1211, 4, 2200, 43649, 23173, 1982, 12483, 125523, 10676, 163139, 18225, 37826, 1470, 75230, 2702, 95064, 80453, 119273, 3120, 220224, 199145, 18225, 37826, 241997, 1470, 75230, 2702, 80453, 13159, 12483, 5, 119718, 120467, 119055, 39083, 2882, 6235, 159696, 1211, 4, 119055, 12483, 4838, 68697, 54260, 16932, 119055, 39083, 96986, 6235, 506, 40096, 163139, 110317, 4, 2932, 29766, 6, 159696, 110317, 114955, 4, 3056, 657, 54260, 40920, 3069, 55242, 506, 12483, 119055, 12483, 18225, 10213, 236376, 1285, 71804, 8903, 163139, 6150, 75230, 22753, 3056, 81444, 2205, 58571, 26394, 1211, 564, 174798, 16011, 12483, 6235, 119718, 29766, 12483, 5, 114955, 92500, 895, 16932, 1211, 14856, 46244, 9934, 40096, 4, 216333, 132025, 8903, 97634, 1211, 4, 292, 151614, 1982, 12483, 4838, 216333, 4113, 119718, 29771, 506, 3111, 23405, 4, 14856, 46244, 9181, 23741, 4, 9424, 54260, 2882, 3069, 145813, 26612, 138194, 12483, 4, 7746, 3069, 564, 142429, 12483, 4, 3069, 105884, 12483, 4, 3069, 17190, 104149, 4, 292, 220224, 1211, 6235, 4852, 41595, 6093, 4, 129165, 506, 149010, 2442, 4, 19302, 161459, 4, 14856, 46244, 2190, 76776, 25559, 141847, 18640, 5, 1285, 7038, 16932, 364, 75230, 47332, 230764, 21776, 2050, 6319, 137377, 4, 17806, 20911, 7746, 4838, 68550, 2205, 35189, 6, 159696, 21295, 4, 6, 238144, 16803, 216333, 4, 199145, 3069, 6, 225975, 12483, 9213, 46244, 192544, 4, 202745, 3120, 2808, 30682, 4838, 216333, 12483, 2200, 1751 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 114436, 12483, 14856, 110970, 12483, 5, 18225, 4151, 39293, 506, 2882, 4, 36324, 8947, 68313, 81444, 4838, 6, 119312, 4, 4838, 564, 75230, 2050, 4, 4838, 364, 52480, 13845, 2819, 18225, 54745, 185226, 3120, 4151, 3069, 17494, 217814, 4, 51723, 364, 75230, 40920, 6, 68558, 5332, 22426, 13159, 119055, 109316, 1211, 4, 18225, 119055, 77188, 43649, 39083, 89930, 2200, 14856, 46244, 39293, 22849, 2702, 103955, 119718, 10705, 16803, 27, 168892, 163139, 1644, 205026, 7243, 3523, 23173, 12483, 2200, 6, 225975, 12483, 4, 36324, 5950, 8300, 218710, 4, 6150, 4838, 6, 119859, 69106, 23847, 75230, 36419, 6, 192539, 17310, 2205, 4151, 6235, 39293, 139962, 145702, 185182, 98833, 123736, 1982, 3120, 4151, 45521, 17800, 15907, 17310, 3120, 1751, 119718, 48904, 61397, 95494, 23741, 2819, 6255, 163139, 1644, 7243, 40653, 23822, 54260, 1982, 12483, 5, 95298, 165592, 8947, 119055, 39083, 2882, 6235, 159696, 1211, 4838, 17824, 75230, 36419, 11211, 108968, 2205, 178766, 6319, 75322, 22426, 6293, 56170, 6, 59929, 29771, 10918, 21106, 6093, 2190, 24621, 50856, 6093, 17310, 4, 119055, 12483, 8947, 119055, 39083, 2882, 6235, 159696, 1211, 2190, 107182, 14088, 6, 59919, 13458, 54260, 18415, 2882, 4, 95455, 3056, 6, 119859, 69106, 162926, 5, 3559, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 710, 91595, 2702, 28726, 1982, 12483, 7916, 2932, 5, 9559, 292, 1285, 6319, 71577, 15907, 21106, 34533, 12483, 21923, 7746, 2007, 5594, 3069, 55242, 506, 12483, 165592, 26612, 1751, 104855, 114955, 564, 54260, 4838, 68697, 54260, 16932, 5, 6, 104985, 95455, 3056, 42493, 6, 21106, 7611, 152, 29060, 149010, 874, 22426, 15350, 26, 12483, 2200, 234917, 16175, 75230, 30750, 114955, 119055, 39083, 96986, 6, 59919, 7201, 39083, 13497, 186797, 2882, 95455, 163825, 5, 163139, 6235, 61541, 2882, 8947, 1470, 54260, 4667, 705, 15, 69355, 6, 44478, 9221, 194, 10069, 3373, 159390, 3120, 1751, 119718, 48904, 61397, 95494, 23741, 95766, 58571, 26394, 1211, 21923, 34654, 3373, 159390, 3120, 1751, 119718, 48904, 61397, 95494, 23741, 10339, 39083, 8903, 152848, 152, 2808, 75230, 175247, 54260, 1982, 12483, 3120, 4151, 874, 172398, 110129, 26612, 10918, 68558, 4, 564, 25207, 4944, 12483, 4, 6, 59919, 192539, 109226, 2205, 20315, 2050, 6, 71577, 29060, 15907, 2200, 2205, 7508, 6093, 45521, 38054, 75230, 2808, 17310, 4, 1751, 57277, 24152, 123073, 6, 59919, 29257, 20260, 13845, 17310, 69355, 1285, 18133, 20260, 109316, 7369, 16932, 230764, 4151, 364, 75230, 2882, 3120, 10676, 6, 75290, 149364, 2200, 3120, 20315, 2050, 41764, 12130, 2819, 1751, 109636, 42180, 1644, 4838, 1751, 119718, 23173, 8300, 4484, 54260, 2882, 4838, 68550, 1285, 9721, 71616, 119718, 23173, 26394, 1211, 92500, 4838, 18133, 20260, 109316, 3944, 142170, 2205, 4151, 7265, 4113, 3120, 4151, 564, 75230, 4667, 506, 75230, 2882, 3120, 1470, 75230, 1982, 12483, 1982, 15533, 6, 23173, 33104, 16932, 2819, 45521, 48974, 25207, 101608, 17310, 3120, 1285, 9721, 34533, 2819, 45521, 48974, 25207, 101608, 17310, 37640, 5666, 26, 2050, 1982, 75230, 4667, 2819, 74806, 119718, 39083, 12483, 2200, 43449, 75230, 32792, 1470, 75230, 2702, 39293, 506, 12483, 3120, 34654, 29434, 75230, 2702, 186797, 4113, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 2819, 6, 192539, 109226, 2205, 7508, 6093, 41764, 21087, 1982, 29771, 203749, 710, 3120, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32054, 75230, 5, 4484, 54260, 1211, 1470, 54260, 109985, 6093, 3120, 4231, 39293, 3373, 159390, 3056, 219947, 6, 75230, 104238, 4, 3496, 64260, 3131, 234917, 3120, 220224, 3069, 235210, 12483, 2200, 2205, 8903, 119718, 710, 36419, 9424, 54260, 96986, 119055, 12483, 18225, 42542, 7369, 119718, 23173, 96986, 1751, 119718, 48904, 61397, 95494, 23741, 4, 67882, 4944, 12483, 10069, 1751, 119718, 48904, 61397, 95494, 23741, 119055, 23173, 3131, 54260, 5666, 32792, 5, 292, 10676, 81444, 20911, 29766, 26, 2050, 364, 75230, 22426, 125830, 15289, 68313, 4, 4838, 133880, 1285, 1470, 75230, 1982, 12483, 4151, 87311, 194734, 152, 1285, 17824, 75230, 2702, 2200, 1285, 160238, 2050, 3120, 4151, 59919, 39340, 46244, 2200, 1751, 119718, 48904, 61397, 95494, 23741, 35046, 8903, 75578, 11556, 16932, 4, 199145, 7369, 6235, 7916, 13497, 1470, 75230, 2702, 37729, 4838, 6428, 137377, 13845, 18415, 130170, 46464, 4944, 17310, 4, 3120, 22639, 4113, 159696, 110317, 2200, 3120, 29434, 75230, 2702, 12483, 2819, 95455, 42542, 1470, 30682, 95298, 7243, 8903, 1982, 12483, 6319, 54260, 1211, 69529, 21776, 124740, 2882, 40096, 119055, 12483, 3373, 26, 68313, 3069, 40026, 506, 4, 7508, 5, 364, 5, 2205, 1285, 200795, 29434, 54260, 119055, 29771, 4944, 12483, 3120, 4151, 1751, 119718, 122978, 6093, 95494, 23741, 5, 292, 1285, 162926, 80885, 3373, 159390, 4852, 171428, 95455, 10184, 54574, 12483, 3120, 1285, 10213, 159696, 2932, 109226, 3120, 10676, 192544, 2200, 95455, 49920, 12483, 69355, 10676, 192544, 26, 5, 364, 23173, 7611, 21733, 71577, 12483, 4, 119055, 13845, 107581, 21923, 7369, 29659, 178748, 32792, 2205, 35189, 7265, 4113, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 5, 95455, 3056, 167048, 141847, 163139, 2702, 43178, 95494, 23741, 32792, 6, 238197, 2819, 6, 159696, 8903, 1211, 6235, 159696, 506, 5666, 149010, 2200, 6, 80453, 129071, 40697, 9424, 159696, 165354, 21923, 1285, 1470, 75230, 12890, 8903, 3373, 159390, 6235, 3111, 2932, 2205, 133190, 101296, 28726, 10339, 109316, 2200, 18225, 42542, 225975, 12483, 36324, 4151, 81444, 20911, 29766, 4151, 4484, 35596, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 119055, 12483, 22753, 3056, 13982, 54260, 84475, 10184, 6093, 119055, 29771, 4944, 12483, 6, 186955, 5, 59919, 36419, 46244, 2205, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 8300, 54260, 125830, 26, 68313, 72577, 18225, 170479, 42493, 151614, 1982, 12483, 6319, 54260, 1211, 6, 59919, 39340, 46244, 2205, 1285, 141879, 13982, 54260, 874, 232187, 96986, 5, 2205, 1285, 200795, 73880, 170479, 4151, 6, 59919, 39340, 46244, 7243, 4852, 54260, 1211, 36324, 75230, 123736, 23741, 163139, 40026, 506, 6093, 2200, 7243, 36324, 75230, 1751, 57277, 24152, 5, 1470, 75230, 1982, 4151, 6, 59919, 39340, 46244, 67882, 40920, 4151, 32054, 75230, 85596, 29025, 12483, 4, 170479, 18225, 216333, 220273, 7243, 151614, 1982, 12483, 6319, 54260, 1211, 6, 59919, 39340, 46244, 4, 1470, 75230, 1982, 178748, 32792, 5, 10069, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 30473, 2205, 125523, 7243, 6235, 159696, 1211, 45521, 17800, 54260, 2442, 26632, 29060, 6319, 54260, 1211, 10184, 6093, 6, 101328, 46244, 2200, 506, 64260, 1751, 75230, 1211, 6235, 506, 40096, 9424, 238144, 114955, 5, 1470, 54260, 1211, 192544, 37826, 22753, 6235, 119718, 39083, 2882, 151614, 1982, 12483, 92500, 22753, 3056, 6235, 159696, 1211, 34076 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7682, 32792, 119055, 12483, 8947, 3056, 132025, 130991, 2819, 564, 54260, 2050, 9424, 238144, 96986, 3056, 22753, 1751, 75230, 1211, 6235, 159696, 1211, 2190, 57619, 905, 94626, 16870, 12483, 6, 104985, 22753, 37826, 7746, 9915, 13845, 6235, 23822, 54260, 16803, 2200, 37826, 132025, 8903, 506, 75230, 1982, 12483, 6, 113889, 4944, 22680, 4113, 8903, 1211, 564, 54260, 32054, 54260, 50856, 710, 49008, 1470, 75230, 1982, 220224, 238144, 2702, 12483, 7243, 199145, 56170, 174538, 12483, 18225, 42542, 132025, 159696, 16747, 12483, 67537, 710, 3069, 6, 59919, 87637, 96986, 1751, 119718, 48904, 61397, 95494, 23741, 5, 177274, 1211, 874, 171433, 26632, 4, 119055, 12483, 9213, 46244, 137, 8300, 54260, 2882, 155, 3056, 6235, 159696, 1211, 13342, 61541, 18640, 4838, 203326, 13845, 45521, 93509, 109636, 2882, 176727, 4, 37826, 22753, 6235, 10918, 16932, 2882, 5, 220224, 151614, 1982, 12483, 1982, 54260, 20315, 6235, 80264, 199145, 220224, 151614, 1982, 12483, 6235, 119718, 10705, 16803, 4, 95298, 36324, 75230, 163139, 220224, 123073, 174538, 12483, 4852, 171428, 7243, 6235, 159696, 1211, 1285, 6, 120749, 93975, 4, 3056, 22753, 73784, 29434, 710, 96986, 874, 39083, 6, 59919, 185337, 12483, 95766, 6, 226112, 8903, 1211, 5, 95455, 874, 39083, 4, 119055, 12483, 22753, 37826, 45521, 93509, 57277, 49008, 9213, 46244, 6, 71804, 8903, 4, 3056, 14004, 46244, 6319, 186955, 6235, 119718, 29766, 12483, 2205, 364, 23173, 7611, 4, 2200, 119055, 12483, 4151, 6, 212915, 3056, 72649, 54260, 2050, 6235, 49150, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 104378, 3120, 4151, 4838, 68697, 54260, 2882, 4, 3056, 6235, 3111, 2932, 6235, 159696, 1211, 4838, 6, 181615, 3120, 9213, 46244, 4, 9747, 6093, 170479, 7746, 132025, 29659, 75230, 2702, 12483, 6, 159696, 8903, 1211, 199145, 8947, 364, 183512, 13845, 2882, 7746, 4, 2200, 1285, 129165, 506, 149010, 874, 71512, 7265, 119055, 13845, 104238, 7369, 3056, 6, 23173, 54260, 1211, 2205, 1751, 104855, 4, 3056, 45521, 93509, 119718, 10705, 16747, 12483, 6235, 119718, 29766, 12483, 3120, 220224, 1211, 41764, 12130, 5, 1285, 114955, 44779, 37826, 18225, 6, 59919, 76776, 10813, 4113, 1982, 176727, 5, 119055, 12483, 220224, 21923, 1470, 54260, 5666, 8903, 31249, 29771, 55823, 1211, 4, 37826, 18225, 7746, 4838, 159696, 4484, 8903, 4852, 21660, 174410, 905, 18553, 16870, 12483, 1285, 4269, 48904, 26394, 6, 71804, 8903, 5, 22753, 37826, 5960, 132025, 7201, 48904, 2932, 220273, 7243, 241997, 2442, 6093, 12483, 4, 1285, 6, 186145, 46244, 12483, 151614, 1982, 12483, 22753, 74806, 46545, 2882, 5, 7369, 37826, 22753, 6235, 23822, 54260, 16803, 2200, 8903, 17494, 29659, 9213, 46244, 364, 104274, 4, 6, 104985, 7369, 37826, 7746, 7243, 216333, 6235, 55823, 506, 21295, 3120, 14004, 46244, 5, 2200, 6, 47351, 40653, 30473, 40920, 3120, 220224, 6093, 6, 59919, 12415, 172398, 2882, 2200, 3120, 220224, 123073, 2808, 75230, 2702, 119859, 1982, 12483, 2205, 6235, 101296, 40920, 6235, 119718, 29766, 12483, 2819, 3373, 26, 68313, 6235, 159696, 1211, 4838, 21776, 30741, 17310, 3120, 2932, 90848, 3131, 12483, 2819, 2200, 4838, 2050, 5332, 152848, 21923, 220224, 6, 130991, 73784, 620, 24244, 36324, 14856, 46244, 163139, 8300, 238144, 114955, 51678, 220224, 7243, 151614, 1982, 12483, 2200, 151614, 1982, 12483, 10213, 31249 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12483, 36324, 4113, 22426, 21292, 65146, 182261, 6235, 80264, 119055, 6093, 12483, 5, 7369, 37826, 9213, 46244, 95298, 132025, 8903, 225975, 2882, 36324, 710, 170479, 7746, 132025, 22680, 4113, 8903, 1211, 1470, 75230, 1982, 48494, 203232, 130170, 1982, 25207, 4944, 12483, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 42542, 7243, 1751, 23173, 12483, 73784, 6235, 4852, 88917, 4, 2200, 1470, 75230, 1982, 6, 101328, 4, 170479, 22753, 216333, 220273, 7243, 6, 212484, 12483, 6, 80264, 5, 6, 104985, 22753, 37826, 7746, 123736, 1982, 8903, 119718, 710, 29659, 1285, 6, 186145, 46244, 12483, 2200, 74806, 119718, 93975, 1211, 4, 119055, 20616, 189623, 2442, 9213, 46244, 41764, 12130, 37826, 182261, 6235, 84316, 8903, 1211, 6, 47351, 35596, 31249, 120467, 65482, 874, 71512, 4, 119055, 13845, 107581, 37826, 74806, 54260, 13497, 132025, 72631, 54260, 96986, 36324, 22753, 37826, 219947, 874, 151461, 56170, 6319, 54260, 1211, 198836, 6235, 7201, 26612, 46244, 5, 20315, 2050, 23050, 40377, 96986, 166464, 37826, 22753, 40653, 8903, 212484, 2882, 1285, 114955, 44779, 564, 54260, 14004, 46244, 67882, 51723, 2200, 22753, 37826, 132025, 8903, 506, 75230, 1982, 12483, 10676, 1751, 159696, 25207, 1211, 2200, 46711, 75230, 215206, 12483, 92500, 7369, 7511, 13982, 93975, 16747, 12483, 6, 159696, 2932, 3120, 76961, 116486, 1644, 29060, 23173, 40697, 67882, 195164, 5, 22753, 37826, 30750, 46464, 40920, 32054, 54260, 107829, 49008, 4, 10213, 78683, 194734, 2200, 38087, 9134, 4, 9747, 199145, 14856, 46244, 3069, 7369, 27720, 76216, 25207, 1211, 6, 159696, 8903, 1211, 32054, 75230, 12483, 199145, 21923, 2205, 9213, 46244, 6, 71804, 8903, 5, 14856, 46244, 80885, 16667, 7201, 147713, 22753, 7243, 124724, 87442, 129165, 8903, 1211, 6, 159696, 8903, 1211, 7746, 4, 6, 104985, 22753, 10339, 147713, 15864, 4944, 12483, 4838, 8903, 3131, 80453, 4113, 4667, 6, 159696, 8903, 1211, 21776, 2050, 64769, 8580, 2205, 4838, 122868, 63593, 54260, 1211, 5, 193012, 21923, 6, 59919, 185337, 12483, 92500, 6319, 54260, 1211, 6, 80453, 129071, 40697, 1211, 10213, 3131, 167673, 37826, 22753, 7243, 241997, 6, 101470, 5, 22753, 37826, 8903, 506, 77188, 1751, 75230, 35189, 506, 26612, 23741, 4113, 74806, 710, 40920, 12483, 3120, 32054, 75230, 12483, 199145, 151614, 1982, 12483, 7746, 6, 21106, 54260, 1211, 30750, 85465, 152848, 21295, 2200, 6235, 46464, 40920, 41764, 29631, 3069, 119055, 6093, 12483, 3120, 6, 47351, 1470, 17310, 4113, 119718, 24295, 105235, 3131, 119718, 48904, 61397, 95494, 23741, 4, 22753, 37826, 221387, 199145, 56170, 2190, 214766, 75230, 1982, 149010, 6, 170355, 4944, 12483, 4852, 54260, 151614, 1982, 12483, 6235, 13458, 75230, 40920, 4151, 13342, 2200, 163139, 6319, 48775, 20260, 874, 48904, 107581, 3120, 220224, 21923, 8903, 119718, 29766, 12483, 4, 22753, 37826, 221387, 3120, 1470, 54260, 59461, 199145, 3056, 4151, 69355, 74806, 205416, 1982, 12483, 5, 30473, 37826, 7369, 7201, 26612, 46244, 12483, 1285, 4838, 13982, 13159, 12483, 3120, 17288, 1982, 75322, 12483, 2200, 6150, 75230, 32054, 75230, 12483, 2200, 2865, 114436, 199145, 160751, 12483, 7746, 123736, 1982, 7265, 34654, 39293, 10213, 506, 186955, 65482, 6, 170355, 4944, 12483, 5, 2200, 22753, 12415, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 63620, 506, 64260, 1751, 75230, 1211, 6235, 119718, 39083, 2882, 6, 61397, 12483, 3069, 1211, 4838 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17288, 1982, 75322, 4113, 2819, 6, 104985, 22753, 37826, 6235, 28726, 104149, 95766, 4838, 9424, 54260, 2882, 17310, 6, 159696, 8903, 1211, 4838, 46711, 75230, 6093, 93975, 1211, 10339, 21106, 3120, 4838, 32054, 75230, 199145, 3056, 101251, 130991, 37729, 6, 47351, 120202, 6093, 26612, 10918, 68558, 3120, 4838, 17288, 25491, 2050, 2819, 6, 75230, 37826, 1470, 75230, 4667, 7369, 7201, 26612, 46244, 12483, 36324, 1285, 17288, 1982, 75322, 12483, 4838, 68697, 54260, 96986, 7243, 47783, 7508, 54260, 1211, 2200, 163139, 2702, 43178, 95494, 23741, 32792, 5, 4151, 7201, 23173, 3056, 22753, 1751, 75230, 1211, 6235, 5666, 54260, 98833, 6235, 159696, 1211, 3069, 6235, 506, 12483, 3069, 1211, 6, 93704, 218241, 205416, 4, 6, 104985, 22753, 37826, 3069, 6093, 29659, 6235, 119718, 39083, 2882, 1470, 75230, 150349, 62763, 9221, 12483, 1285, 364, 75230, 4852, 9719, 21338, 12483, 4, 119055, 13845, 107581, 1285, 32054, 75230, 12483, 151614, 1982, 12483, 9213, 46244, 6, 195054, 75230, 47332, 5, 22753, 37826, 185000, 25391, 37016, 32792, 364, 54260, 36419, 10213, 35189, 2200, 1470, 54260, 110970, 80453, 31623, 109226, 4, 22753, 3056, 6, 195054, 29771, 55823, 1211, 4, 22753, 506, 64260, 74806, 80453, 109226, 4, 22753, 3056, 4838, 144532, 8903, 240863, 12483, 4269, 48904, 26394, 193012, 2200, 72649, 54260, 2050, 6, 130991, 4838, 20033, 4113, 4, 4838, 3069, 1982, 90848, 4944, 65482, 4, 95298, 8947, 37826, 220273, 7243, 6235, 506, 39083, 55823, 1211, 5, 22753, 37826, 1751, 75230, 1211, 132025, 8903, 506, 75230, 1982, 12483, 3069, 9424, 238144, 21066, 12483, 1470, 75230, 1982, 8947, 3056, 88771, 36324, 54595, 13845, 107581, 174538, 12483, 45223, 55823, 1211, 221895, 32054, 75230, 12483, 5, 4151, 113889, 4667, 3056, 6, 130991, 6, 59929, 127732, 14856, 10069, 78683, 96302, 12483, 5, 22753, 37826, 1470, 54260, 5666, 139449, 1285, 5332, 39340, 10125, 145702, 13159, 18415, 29771, 1982, 111684, 155045, 21338, 12483, 4, 22753, 37826, 74806, 1644, 109226, 76961, 17800, 183512, 112216, 2882, 35596, 9221, 18415, 2200, 219947, 112216, 2882, 35596, 9221, 18415, 41764, 15350, 12483, 4, 119055, 59929, 6093, 12483, 4, 41764, 15096, 159696, 2442, 4, 36324, 13845, 107581, 199145, 32054, 75230, 12483, 85465, 200117, 12483, 9213, 46244, 6235, 8903, 1982, 12483, 2200, 1285, 199145, 22753, 37826, 6235, 4484, 90848, 8903, 1211, 3120, 10676, 4838, 204403, 24621, 75290, 5, 234917, 874, 39083, 37826, 22753, 7746, 6, 57277, 39340, 6235, 55823, 506, 21295, 70695, 20260, 4, 95298, 35189, 7369, 119718, 23173, 18415, 16932, 21776, 124740, 2882, 40096, 3056, 7243, 6, 130991, 5, 22753, 3056, 6235, 119718, 29766, 12483, 17160, 59929, 4, 6, 87311, 61397, 4, 123736, 1982, 8903, 3131, 119718, 26612, 40920, 4, 6, 76776, 10813, 13159, 18640, 2205, 364, 75230, 4852, 2200, 159190, 7746, 2819, 10069, 114955, 37826, 22753, 6319, 75230, 2050, 6235, 39293, 506, 12483, 234917, 238419, 2205, 166464, 5, 14004, 46244, 6, 212915, 37826, 7746, 7369, 8903, 7611, 6235, 116793, 12483, 234917, 81444, 1644, 23173, 2200, 22753, 2205, 26612, 159696, 4484, 3069, 1211, 4838, 81444, 20911, 29766, 5, 8947, 3056, 6235, 159696, 1211, 1470, 54260, 59461, 3120, 119055, 13845, 107581, 22753, 37826, 8903, 506, 77188, 4838, 3373, 4667, 72577, 13159, 5, 95298, 1285, 168155, 184639, 71180, 2882, 3056, 6235, 159696, 1211, 6, 47351, 35596 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3131, 17310, 5, 4151, 81444, 20911, 29766, 37826, 9213, 46244, 7369, 21733, 77188, 36324, 4, 3496, 64260, 3131, 7369, 177157, 22426, 40096, 15533, 54196, 7265, 9213, 46244, 4, 42542, 7369, 220273, 7243, 6, 80264, 4, 6, 238144, 1644, 8947, 3056, 1470, 17310, 48350, 21660, 32792, 4, 2200, 7369, 119055, 39083, 2882, 7746, 2200, 220224, 1211, 6, 78683, 12415, 123073, 2200, 220224, 1211, 10339, 26612, 123559, 4113, 6, 190135, 2205, 4838, 17824, 75230, 101608, 6235, 7201, 26612, 46244, 5, 6319, 54260, 1211, 10213, 96986, 2200, 6, 238144, 49008, 37826, 219947, 6235, 506, 39083, 55823, 1211, 5, 94741, 1211, 3056, 22753, 6235, 240863, 12483, 3069, 10676, 564, 37016, 84577, 12483, 29434, 5, 9934, 75230, 2932, 212915, 223229, 106, 4, 35189, 119055, 13845, 104238, 3056, 36324, 75230, 32887, 15231, 2932, 2205, 4151, 6, 73381, 35596, 7972, 106504, 54260, 2882, 2200, 564, 54260, 119055, 63593, 172398, 16175, 9221, 8947, 43649, 20616, 2882, 47783, 4838, 23050, 61397, 5, 7369, 37826, 9213, 46244, 9934, 29771, 7201, 99766, 6235, 225975, 2882, 36324, 7369, 119055, 29060, 8947, 6, 80264, 2200, 37826, 9213, 46244, 132025, 8903, 8903, 1982, 12483, 220224, 1211, 6, 80453, 54260, 4852, 5, 22753, 68313, 4151, 3131, 90848, 165354, 6235, 119718, 29766, 12483, 2200, 3056, 3069, 23269, 185337, 12483, 3069, 4151, 16175, 9221, 5, 4151, 66947, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 2648, 218241, 205416, 37826, 4838, 1751, 80453, 17310, 6235, 80264, 4, 37826, 6, 59919, 31249, 120467, 12483, 1285, 16175, 9221, 2200, 3069, 139449, 10676, 620, 21292, 13845, 5, 2451, 1470, 54260, 35189, 9213, 46244, 6235, 506, 2882, 4838, 159696, 4484, 65146, 2882, 9213, 46244, 20033, 564, 21660, 29771, 54574, 12483, 2819, 13159, 3056, 6, 105780, 6293, 81444, 1644, 23173, 5, 2451, 6, 105780, 6293, 81444, 1644, 23173, 705, 9213, 46244, 37826, 81444, 4667, 205026, 4838, 46590, 905, 7243, 130170, 46464, 40920, 27, 2200, 6255, 6, 238144, 2702, 36324, 1470, 54260, 6093, 6, 80453, 54260, 4852, 3056, 7243, 36324, 75230, 10184, 13845, 5, 2451, 6255, 163139, 1644, 95298, 6, 105780, 6293, 81444, 1644, 23173, 27, 9915, 13845, 4, 6255, 151614, 1982, 7243, 6319, 54260, 1211, 8300, 54260, 2882, 711, 9213, 46244, 6, 238144, 16803, 6150, 6255, 42542, 1470, 54260, 4667, 6, 212484, 12483, 6, 23173, 119273, 9221, 12483, 4, 56170, 59919, 71804, 183216, 4838, 10339, 139365, 25207, 104238, 40697, 2702, 7265, 13845, 5, 92500, 22753, 37826, 1470, 30682, 6235, 8903, 1982, 12483, 95455, 6235, 50853, 4, 7243, 163139, 2702, 186797, 47833, 22753, 165354, 1470, 30682, 17824, 142429, 36324, 75230, 72577, 6, 212484, 12483, 6, 23173, 119273, 9221, 12483, 5, 113889, 4944, 9719, 97634, 2932, 3056, 22753, 6235, 4852, 13159, 12483, 2200, 6235, 119718, 23173, 2882, 2205, 119055, 23173, 18415, 10918, 46685, 69355, 29434, 5, 9934, 75230, 2932, 212915, 223229, 787, 4151, 81444, 20911, 29766, 3056, 6, 130991, 3069, 27720, 76216, 25207, 1211, 144754, 4838, 657, 54260, 40920, 12483, 119055, 29771, 8903, 1211, 4, 7265, 9424, 238144, 45521, 38054, 4, 119055, 13845, 107581, 4838, 6, 174763, 59461, 37826, 8903, 111684, 33716, 5, 95455, 6, 159696, 8903, 28726, 7265, 1285, 45521, 38054, 10339, 147713, 7369, 1285, 183216, 230764, 10676, 142137 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 10339, 147713, 32899, 76216, 25207, 1211, 4838, 46590, 905, 3069, 1285, 44917, 76216, 35596, 80885, 163139, 30473, 96986, 5, 220224, 23269, 22426, 215726, 13497, 12483, 151614, 1982, 12483, 6235, 21847, 75230, 47332, 36324, 95455, 3056, 220224, 1211, 119055, 29771, 8903, 1211, 2200, 95455, 3056, 8903, 159696, 1211, 56170, 220224, 4838, 216333, 9424, 54260, 81371, 2702, 6, 75230, 220224, 1211, 1285, 22426, 17410, 203232, 5, 9213, 1285, 14856, 10069, 10918, 5666, 40697, 45521, 45629, 54260, 49008, 2200, 6235, 39293, 139962, 145702, 12483, 10339, 147713, 7369, 18133, 59461, 12483, 6235, 8903, 1211, 10069, 10339, 139365, 25207, 104238, 40697, 364, 183512, 1644, 109226, 3120, 1285, 81444, 20911, 75230, 16847, 199145, 67882, 4944, 12483, 1285, 22680, 75230, 12483, 874, 22426, 15350, 220224, 1211, 4, 10213, 236376, 186797, 220224, 4838, 75386, 55242, 1644, 134727, 54260, 96986, 4, 3496, 64260, 86733, 37826, 6235, 119718, 10705, 16803, 6150, 14856, 46244, 163139, 1285, 45223, 23741, 3120, 220224, 188485, 8947, 5, 76961, 4852, 54260, 23269, 3069, 506, 6093, 6093, 10339, 147713, 12483, 1470, 30682, 657, 75230, 1982, 12483, 2200, 10339, 147713, 12483, 1470, 75230, 4667, 7508, 6093, 12483, 6235, 8903, 1211, 35189, 137, 8903, 2865, 54260, 59461, 4, 24012, 13982, 161459, 6, 80453, 129071, 125897, 3120, 234917, 6, 59919, 17160, 171433, 39293, 18415, 6093, 8300, 18415, 4, 199145, 10213, 101080, 26394, 1211, 178766, 44917, 200117, 109316, 116486, 55823, 21087, 68558, 2909, 2200, 76961, 144754, 97594, 6093, 6093, 3120, 34654, 104149, 14856, 10069, 10918, 207591, 12483, 45521, 45629, 54260, 1211, 10339, 147713, 12483, 2205, 6235, 506, 54260, 2050, 137377, 6093, 9221, 12483, 1751, 119718, 48904, 8903, 25207, 32054, 75230, 12483, 5, 2200, 1470, 75230, 4667, 29434, 5, 163139, 2932, 212915, 223229, 116, 3056, 8300, 119718, 40697, 1211, 1285, 32054, 75230, 12483, 564, 37016, 84577, 6235, 159696, 1211, 4838, 75386, 1470, 54260, 59461, 119055, 13845, 104238, 6, 105515, 8947, 29771, 23741, 5, 144754, 1285, 77775, 112216, 10918, 35596, 12483, 37826, 7369, 6, 238197, 6428, 54260, 48253, 4, 9747, 220224, 2808, 54260, 57619, 905, 21066, 54260, 2702, 12483, 14856, 46244, 21776, 150349, 87442, 4, 3496, 64260, 3131, 7369, 3056, 7369, 8300, 75230, 8903, 1211, 6235, 119718, 29766, 12483, 144754, 230191, 2200, 3496, 64260, 3131, 1285, 39293, 145813, 48775, 4667, 37826, 7369, 4838, 2050, 564, 13159, 96986, 241997, 5, 6093, 37826, 27702, 50853, 1470, 54260, 5666, 8903, 119718, 15350, 176727, 3069, 6, 80264, 199145, 22753, 37826, 6, 59919, 71804, 23405, 2882, 4, 10069, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 46659, 29771, 75578, 36324, 75230, 163139, 4151, 6, 80453, 54260, 4852, 2205, 6235, 159696, 1211, 4838, 3069, 364, 75230, 104238, 56170, 9213, 46244, 4, 37826, 30473, 3069, 8903, 225975, 2882, 3069, 6, 104378, 10676, 23050, 40377, 96986, 166464, 2200, 3056, 4838, 159696, 4484, 7265, 4151, 26612, 1982, 30473, 40920, 7243, 14856, 46244, 98252, 13342, 104378, 5, 13982, 5, 9934, 75230, 2932, 212915, 223229, 138, 3056, 6235, 159696, 1211, 6, 47351, 132025, 7201, 48904, 61397, 5, 7369, 37826, 6, 59919, 71804, 23405, 2882, 4838, 19302, 54260, 23269, 45495, 24621, 56170, 45223, 55823, 1211, 9213, 46244, 2200, 37826, 9213, 46244, 6235, 8903, 1982, 12483, 22426, 15350, 12483, 5, 4838, 129165, 506, 149010, 3056, 22753, 72649, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2050, 6, 130991, 4, 6, 104985, 119055, 12483, 234917, 193012, 4852, 171428, 4838, 159696, 4484, 4, 37826, 22753, 6235, 39293, 506, 12483, 36324, 6319, 54260, 1211, 163139, 24152, 17310, 3056, 7243, 29771, 5, 21776, 38054, 218241, 205416, 37826, 9213, 46244, 23050, 2865, 32792, 6235, 8903, 1982, 12483, 4838, 6, 119859, 69106, 34076, 54260, 4944, 154739, 15231, 8903, 14856, 10069, 10918, 1211, 5, 13982, 5, 163139, 2932, 212915, 223229, 201, 3056, 6235, 159696, 1211, 3069, 137, 22680, 54260, 16747, 32792, 155, 3069, 1211, 9213, 46244, 2200, 506, 64260, 230764, 9213, 46244, 6235, 101296, 40920, 4838, 620, 91595, 12483, 1470, 54260, 16747, 55049, 4, 3056, 22753, 9915, 13845, 4838, 159696, 4484, 4, 4944, 107182, 4838, 177282, 29771, 55823, 1211, 4, 125523, 1470, 54260, 35189, 7369, 37826, 22753, 130170, 46464, 40920, 5, 136108, 5, 9934, 75230, 2932, 212915, 223229, 190, 37826, 6, 59919, 71804, 23405, 2882, 4838, 45495, 24621, 6235, 50853, 4, 9747, 22753, 13342, 21776, 88660, 2865, 183512, 9221, 12483, 3069, 1211, 29434, 5, 9934, 75230, 2932, 212915, 223229, 305, 4, 119055, 13845, 104238, 119055, 29060, 9213, 506, 17800, 13845, 55823, 1211, 5, 29434, 5, 9934, 5, 223229, 190, 2205, 6235, 159696, 1211, 4838, 6, 135947, 3120, 29434, 5, 9934, 5, 223229, 305, 4, 159696, 51723, 7369, 10339, 147713, 7213, 165354, 137, 61541, 4113, 2909, 13982, 5, 9934, 75230, 2932, 212915, 223229, 305, 37826, 9213, 46244, 6, 141943, 32792, 6235, 506, 39083, 55823, 1211, 5, 48494, 203232, 68313, 6235, 159696, 1211, 220224, 1211, 1751, 109636, 10918, 21106, 131044, 2819, 7369, 37826, 6319, 54260, 1211, 221895, 1470, 47332, 54260, 1644, 17310, 3120, 14856, 10069, 10918, 1211, 7243, 6, 80453, 129071, 31623, 54196, 5, 119718, 710, 36324, 75230, 1285, 364, 15350, 55823, 3056, 6235, 159696, 1211, 4, 199145, 1285, 32054, 75230, 37826, 6235, 7972, 96986, 78278, 30473, 37826, 7746, 6, 150839, 39083, 2882, 4, 95455, 21923, 657, 48904, 8903, 46711, 75230, 6093, 93975, 6319, 71577, 710, 21338, 12483, 4, 119055, 13845, 30750, 6255, 119055, 13845, 23165, 1751, 109636, 16932, 6, 75322, 39083, 4151, 26394, 54574, 12483, 5, 29771, 75578, 4151, 238144, 1644, 170479, 12483, 76961, 163139, 2702, 12483, 163139, 36324, 75230, 116486, 1644, 29060, 23173, 40697, 22680, 75230, 12483, 657, 54260, 20315, 1211, 5, 2865, 22426, 15350, 220224, 1211, 51723, 130170, 3131, 54260, 20315, 2882, 9424, 238144, 3373, 99766, 12483, 874, 22426, 15350, 4852, 54260, 1211, 152, 4151, 88771, 26, 6093, 2865, 22426, 15350, 15, 29771, 35189, 4838, 1982, 99766, 18340, 16, 2200, 1285, 40026, 506, 8903, 28317, 2882, 5, 20033, 119055, 109316, 1211, 24621, 46244, 80885, 16667, 43449, 75230, 4852, 10676, 5, 200795, 1211, 132025, 2442, 25046, 12483, 7265, 10676, 6, 113889, 51723, 874, 22426, 15350, 5, 26612, 874, 22426, 15350, 3056, 95455, 6, 23173, 75230, 2702, 104378, 3120, 4151, 80839, 40920, 2205, 1285, 200795, 3882, 119055, 29771, 4944, 12483, 3120, 4151, 1751, 119718, 26612, 61397, 95494, 23741, 4, 95455, 364, 54260, 16803, 119055, 12483, 1285, 80839, 40920, 42542, 7511, 2882, 17190, 1982, 12483, 1470, 75230, 101608, 506, 21106, 1982, 4151, 6235, 75578, 11556, 16932, 5, 4838, 40026, 506, 8903, 28317, 2882, 3056, 95455, 23173, 75230, 2702, 104378, 3120, 4151, 80839, 40920, 2205, 21776, 2050 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 115536, 12483, 78278, 9424, 20616, 13497, 12483, 1751, 119718, 48904, 54100, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 61397, 95494, 23741, 114349, 232187, 2882, 4, 95455, 364, 54260, 16803, 119055, 12483, 1285, 80839, 40920, 42542, 4, 130170, 6, 120749, 161459, 1470, 75230, 7201, 22426, 59929, 17310, 4, 43449, 54260, 1982, 12483, 17190, 1982, 12483, 5, 63864, 170355, 4944, 12483, 6, 19721, 5, 95455, 47940, 29659, 23173, 1982, 12483, 3120, 4151, 80839, 47332, 103854, 30109, 48904, 15307, 54260, 96986, 199145, 21923, 40653, 8903, 185337, 12483, 3069, 4151, 80839, 40920, 3120, 10069, 895, 16932, 12483, 2200, 37729, 2190, 5666, 120749, 93975, 1470, 75230, 2702, 44693, 2648, 17310, 84475, 37729, 70695, 20260, 506, 54260, 96986, 3120, 4151, 80839, 47332, 6, 21106, 54260, 1211, 4, 3120, 1285, 364, 54260, 2882, 44779, 199145, 163139, 21733, 12483, 22753, 159190, 4, 69355, 4151, 41764, 71804, 8300, 35596, 26612, 15, 2648, 120467, 6, 99766, 16, 2200, 3120, 10676, 3523, 137377, 13845, 29659, 48775, 23405, 5, 26612, 55242, 46244, 123736, 23741, 4113, 34482, 170355, 107581, 3120, 123736, 56703, 57277, 207650, 1211, 3120, 4151, 80839, 40920, 2205, 364, 63188, 105235, 874, 232187, 96986, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 3056, 15857, 46590, 21292, 4, 6, 47351, 171433, 105235, 39340, 152848, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 5, 1470, 75230, 1982, 4151, 10339, 64260, 6093, 84475, 1285, 11556, 16932, 21923, 15857, 46590, 34533, 13456, 2205, 4151, 9424, 54260, 2882, 3120, 26, 2050, 73095, 13805, 905, 109316, 1211, 6, 59919, 39340, 46244, 42542, 15, 219947, 65146, 711, 16, 1285, 80839, 40920, 1285, 30109, 48904, 15307, 54260, 2882, 4231, 93509, 26, 171428, 2200, 1470, 54260, 23269, 3120, 1285, 10339, 39083, 8903, 1211, 4151, 69355, 2205, 4151, 16175, 75230, 2882, 3120, 4151, 80839, 40920, 5, 8947, 3056, 2808, 75230, 4667, 874, 43178, 32792, 36324, 1285, 39293, 30109, 48904, 15307, 54260, 2882, 170479, 40653, 8903, 506, 12483, 3120, 10676, 10339, 64260, 6093, 2808, 75230, 6293, 4151, 80839, 40920, 2200, 7243, 6319, 48775, 20260, 67882, 1982, 12483, 1285, 7038, 16932, 84475, 6, 159696, 110317, 80885, 16667, 7243, 49920, 7201, 29766, 2442, 25046, 12483, 6319, 54260, 23269, 6319, 35596, 149010, 15857, 46590, 34533, 40697, 177157, 22426, 97634, 51723, 2205, 9213, 46244, 5, 292, 42493, 6, 104985, 15857, 46590, 21292, 2819, 1470, 75230, 4667, 221895, 1751, 159696, 25207, 25616, 48904, 15307, 54260, 96986, 3120, 4151, 7038, 16932, 4, 2205, 4838, 1751, 159696, 25207, 1211, 17824, 93704, 4, 3373, 54260, 22753, 37826, 220224, 8903, 4484, 90848, 8903, 1211, 56170, 4151, 1751, 119718, 26612, 61397, 95494, 23741, 4, 3373, 54260, 6, 159696, 46244, 141943, 4151, 1751, 119718, 26612, 61397, 95494, 23741, 4, 51678, 151614, 1982, 12483, 4838, 75386, 10339, 39083, 23269, 10676, 16175, 75230, 2882, 3120, 4151, 80839, 40920, 6, 4, 2451, 73784, 1982, 54260, 3131, 22426, 710, 13845, 4, 24012, 6093, 12483, 25616, 48904, 15307, 54260, 96986, 4, 364, 23173, 7611, 25616, 48904, 15307, 54260, 96986, 4, 657, 109226, 58679, 5666, 52671, 54260, 96986, 5, 95298, 55242, 46244, 123736, 23741, 55242, 506, 2882, 18225, 32054, 75230, 12483, 7265, 36324, 13845, 107581, 70695, 5666, 52671, 54260, 96986, 1470, 75230, 34575, 29771 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8903, 1211, 2200, 6235, 75578, 12483, 6235, 119718, 152848, 114955, 5, 159696, 1211, 95455, 192544, 43649, 23173, 47332, 4, 119055, 77188, 1285, 6235, 75578, 11556, 16932, 6, 61397, 54260, 56169, 2200, 30473, 119055, 23173, 23741, 95455, 21374, 50856, 6, 23173, 75230, 2702, 5, 14856, 46244, 80885, 16667, 43449, 54260, 47332, 1285, 16175, 75230, 18415, 80839, 40920, 219947, 6, 71804, 23405, 22639, 4113, 159696, 110317, 5, 95298, 8947, 42542, 7746, 67882, 4944, 12483, 22753, 170479, 6, 101328, 6428, 99766, 17160, 54260, 1982, 12483, 4838, 657, 141847, 123073, 9424, 54260, 2882, 2200, 7746, 6, 59919, 192539, 12483, 4, 163139, 8947, 119055, 29060, 564, 174798, 16011, 12483, 119055, 6093, 12483, 564, 54260, 6, 47351, 221895, 2442, 6235, 147713, 20616, 54260, 2882, 5, 5442, 30109, 48904, 15307, 54260, 96986, 3120, 4151, 67882, 51723, 84475, 3120, 4151, 141562, 40920, 4, 37729, 119055, 13845, 107581, 1285, 80839, 47332, 43649, 23173, 47332, 7243, 29771, 1982, 4, 95298, 119055, 13845, 107581, 6, 59919, 140354, 26612, 4944, 12483, 4838, 874, 22426, 15350, 5, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 30109, 171433, 40697, 30109, 48904, 15307, 54260, 96986, 199145, 1285, 32054, 75230, 37826, 3120, 40026, 506, 6093, 2819, 84475, 1470, 174763, 63593, 22426, 15350, 4852, 54260, 1211, 44141, 6093, 29659, 7369, 119718, 29766, 1982, 65482, 30109, 48904, 15307, 54260, 96986, 2819, 6, 73906, 57277, 70598, 36609, 2819, 30109, 48904, 15307, 54260, 96986, 69355, 4151, 6235, 75578, 11556, 16932, 6, 21106, 54260, 1211, 2819, 3069, 235210, 12483, 119718, 92605, 2702, 109226, 3120, 564, 75230, 4667, 29766, 2932, 23173, 49008, 4838, 75386, 4838, 10339, 39083, 8903, 3120, 120202, 6093, 26612, 10918, 239162, 1211, 2819, 874, 48904, 107581, 14856, 10069, 78683, 96302, 12483, 4, 159696, 1644, 107581, 18225, 204982, 1470, 54260, 1211, 3069, 1644, 17645, 1982, 30109, 48904, 15307, 54260, 2882, 2819, 2190, 5666, 120749, 93975, 1157, 8903, 3120, 35189, 41764, 71804, 8300, 35596, 26612, 2819, 15750, 61541, 4113, 4, 163139, 6, 23173, 33104, 16932, 7201, 21106, 12483, 3120, 7369, 8903, 7611, 4, 7746, 29659, 23173, 4484, 132025, 29659, 75230, 2702, 12483, 10676, 564, 75230, 4667, 2819, 41764, 21087, 4944, 40697, 4838, 113889, 101296, 7972, 12483, 4, 163139, 17824, 75230, 36419, 21292, 30721, 2819, 6319, 171127, 149010, 130170, 1982, 25207, 1982, 17310, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 2819, 25616, 171433, 40697, 43449, 54260, 59919, 25222, 23741, 17310, 4, 564, 54260, 32054, 75230, 12483, 199145, 4838, 68697, 54260, 96986, 2205, 10339, 26612, 216501, 12483, 119055, 10705, 43449, 54260, 119055, 77188, 10184, 13845, 132025, 8903, 159696, 16747, 29060, 2819, 292, 874, 48904, 4944, 2865, 39083, 43449, 54260, 47332, 1285, 63864, 170355, 107581, 2190, 91275, 37016, 84577, 5, 2808, 75230, 6293, 1470, 54260, 59461, 3120, 1285, 39293, 34482, 170355, 4944, 12483, 3120, 874, 22426, 15350, 4852, 54260, 1211, 163139, 1644, 6255, 205026, 26612, 203326, 13845, 14856, 46244, 123736, 1982, 105235, 1644, 12483, 5, 95455, 3056, 34654, 6319, 171127, 149010, 10705, 13497, 139365, 25207, 4944, 17310, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 5, 10069, 6319, 171127, 149010, 130170, 1982, 25207, 4944, 17310, 3120, 7508, 6093, 1751, 119718, 48904, 61397, 95494, 23741, 2205, 2808, 54260, 23269, 3120, 1285, 46711, 75230, 6093, 18640, 80885 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 112216, 115398, 109226, 2205, 10676, 17190, 1982, 12483, 3120, 1470, 32054, 75230, 5, 13159, 21923, 1751, 75230, 1211, 564, 174798, 16011, 12483, 6235, 119718, 29766, 12483, 130170, 10676, 78104, 18415, 1644, 137, 10069, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 2004, 1285, 119055, 183512, 6093, 109226, 3120, 4838, 67882, 51723, 7265, 9213, 46244, 1751, 119718, 48904, 61397, 12483, 6, 229340, 5, 4151, 22518, 54260, 75578, 3120, 1285, 39293, 9424, 54260, 1644, 12483, 3056, 6235, 8903, 1211, 10676, 6319, 171127, 149010, 1211, 7544, 22426, 1644, 4, 6, 238144, 1644, 7369, 6, 238144, 16803, 36324, 4, 1470, 75230, 1982, 32054, 75230, 12483, 119055, 39083, 96986, 45521, 17800, 15907, 10069, 1751, 119718, 48904, 61397, 95494, 23741, 4, 119055, 39083, 96986, 220224, 7243, 6235, 2648, 23173, 23741, 132025, 104378, 3069, 10676, 2865, 22426, 15350, 5, 657, 54260, 35189, 3056, 8947, 95298, 7243, 7369, 1644, 75230, 47332, 6235, 4852, 21660, 32792, 220224, 3069, 160751, 12483, 1285, 174538, 12483, 37729, 119055, 13845, 107581, 1285, 45521, 17800, 15907, 17310, 42542, 1470, 75230, 2702, 8903, 111684, 33716, 119055, 6093, 12483, 4, 36324, 75230, 36324, 7265, 10676, 564, 13159, 96986, 163139, 1644, 12483, 3056, 18225, 160751, 88917, 12483, 185182, 2442, 2200, 131445, 37729, 10676, 6235, 39293, 7611, 5, 1285, 32054, 75230, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 220224, 1211, 4838, 31807, 20305, 26, 18415, 2808, 88680, 9213, 46244, 1470, 54260, 8903, 119132, 6, 75290, 149364, 2200, 6, 80264, 64751, 20260, 2200, 32054, 54260, 199145, 22753, 119718, 15350, 5, 6428, 47351, 119055, 39083, 2882, 22753, 7746, 7243, 6235, 2648, 23173, 23741, 119055, 141943, 12483, 2205, 6235, 506, 54260, 2050, 56170, 87637, 108968, 3069, 1211, 36324, 13845, 107581, 14856, 110970, 12483, 199145, 21923, 2190, 5666, 55823, 506, 18640, 4, 199145, 3523, 23173, 12483, 22753, 123736, 1982, 29771, 35189, 67882, 4944, 12483, 22753, 6319, 48775, 20260, 5, 163139, 6235, 506, 54260, 2050, 1285, 39293, 1751, 119718, 48904, 61397, 95494, 23741, 96743, 106559, 139365, 25207, 4944, 109226, 170479, 12483, 7243, 220224, 1211, 4, 163139, 1470, 17310, 48350, 21660, 32792, 4, 163139, 7243, 137, 29060, 13456, 155, 7201, 23173, 81444, 20911, 75230, 16847, 2200, 17288, 1982, 75322, 12483, 4, 6, 238144, 16803, 95298, 81444, 4667, 148932, 36324, 4852, 54260, 119055, 6093, 12483, 6235, 101296, 40920, 2205, 1285, 16175, 75230, 4852, 114436, 6, 63188, 12483, 166464, 4, 2205, 177274, 1211, 6, 99766, 5, 119718, 29771, 13342, 4838, 12666, 29771, 95455, 10213, 506, 186955, 161829, 705, 119055, 29771, 13342, 95455, 6235, 39293, 7611, 705, 6, 238144, 2702, 12483, 62808, 81444, 4667, 36324, 14856, 46244, 163139, 1285, 45223, 23741, 81444, 20911, 75230, 16847, 10213, 36326, 160687, 8903, 1211, 7746, 7265, 69139, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 29771, 1982, 23822, 54260, 1982, 12483, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 2200, 36324, 10184, 109316, 119055, 6093, 12483, 4151, 69355, 7508, 54260, 4667, 4, 4944, 64260, 3131, 220224, 22518, 54260, 12483, 230764, 1285, 14856, 10069, 10918, 5666, 40697, 6, 59919, 235210, 1644, 109226, 36324, 220224, 21923, 94741, 8903, 8903, 1211, 2200, 36324, 220224, 364, 21106, 96986, 8947, 56170, 4838, 137, 59919, 1982, 25207, 4944, 12483, 155, 2819, 45521, 24152, 20616, 33716, 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 ]
[ 2702, 26, 68313, 56170, 47351, 4838, 6, 117397, 29766, 131044, 81444, 20911, 75230, 16847, 199145, 188485, 8947, 130170, 6319, 54260, 1211, 60732, 6, 80453, 54260, 4852, 4, 95298, 220224, 6, 59919, 71804, 8903, 1211, 36324, 8947, 170479, 220224, 1211, 7369, 1644, 75230, 47332, 8947, 3069, 6, 80264, 5, 29771, 75578, 7243, 47783, 42542, 18225, 151614, 1982, 12483, 177157, 22426, 40096, 710, 2200, 174538, 54260, 2648, 7265, 10069, 32054, 75230, 12483, 199145, 163139, 1644, 12483, 123736, 1982, 23822, 54260, 1982, 12483, 220224, 6093, 80839, 40920, 5, 119055, 12483, 18225, 55242, 506, 2882, 6, 47351, 23173, 1982, 54260, 16932, 22680, 75230, 119055, 13845, 107581, 6, 238144, 16803, 199145, 56170, 4838, 1751, 159696, 25207, 6, 59919, 62067, 119718, 99766, 2442, 7972, 4944, 4484, 54260, 2882, 4838, 192544, 3056, 4, 119055, 12483, 18225, 364, 77188, 9213, 46244, 6, 71804, 8903, 2200, 119055, 12483, 3373, 26, 68313, 3131, 75230, 1211, 3120, 40026, 506, 6093, 56170, 47351, 4838, 6235, 7511, 8903, 152848, 9424, 29771, 54574, 114955, 9747, 3069, 6, 59919, 24621, 46244, 12483, 1285, 6, 29766, 141564, 54260, 2882, 4, 95455, 895, 141943, 2200, 1285, 108599, 26612, 59919, 54260, 4, 292, 45521, 12415, 105235, 506, 2882, 18225, 657, 54260, 40920, 9213, 46244, 3069, 29659, 183512, 2200, 18225, 190859, 75230, 77188, 6, 104985, 199145, 51723, 42542, 9213, 46244, 42493, 45223, 55823, 1211, 4, 84475, 18225, 6, 75578, 75230, 77188, 199145, 22753, 37826, 7746, 7511, 2882, 45521, 17800, 15907, 22753, 170479, 42493, 6, 104378, 4151, 13342, 5, 107776, 95298, 3069, 1211, 1470, 54260, 4667, 4838, 22680, 75230, 199145, 221387, 3069, 4151, 2007, 5927, 186046, 165592, 710, 96986, 199145, 6, 186461, 12483, 230764, 10676, 78683, 24152, 3120, 26, 2050, 4838, 68697, 54260, 2882, 186797, 12483, 10339, 39083, 4484, 4, 4838, 32054, 75230, 119055, 13845, 107581, 163139, 1644, 7243, 151614, 1982, 12483, 4484, 54260, 1211, 192544, 43449, 75230, 4852, 6, 159696, 8903, 1211, 1470, 75230, 101608, 149010, 6, 68566, 152848, 152, 22753, 163139, 1644, 7243, 9213, 46244, 75290, 149364, 137, 9719, 146598, 67882, 4944, 12483, 155, 84475, 22753, 163139, 1644, 42493, 6, 59919, 1644, 9221, 12483, 9213, 506, 25207, 6235, 159696, 506, 5666, 149010, 45521, 48974, 110317, 172398, 4, 2200, 36324, 75230, 6, 238144, 16932, 4, 292, 6428, 47351, 3056, 162926, 6319, 54260, 59461, 7243, 8903, 5666, 54260, 98833, 132025, 13342, 2808, 159696, 46244, 12483, 4838, 46590, 905, 4838, 22753, 7201, 7611, 56170, 9213, 46244, 5, 3496, 64260, 3131, 1470, 75230, 4667, 215031, 22680, 75230, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 151614, 1982, 12483, 4838, 198754, 3069, 6, 59919, 71804, 183216, 1285, 99509, 4113, 32054, 54260, 506, 54260, 2882, 6, 101328, 84475, 7243, 3069, 6, 226112, 8903, 1211, 4838, 192544, 2205, 9213, 46244, 6, 75290, 149364, 5, 9213, 73375, 8903, 16667, 21923, 36324, 13845, 107581, 32054, 75230, 12483, 14856, 46244, 80885, 16667, 220273, 7243, 119055, 77188, 2200, 219947, 163139, 2442, 158548, 3069, 220224, 1211, 67882, 195164, 5, 292, 6, 104985, 199145, 42542, 18225, 6, 225975, 12483, 6, 159696, 8903, 1211, 1285, 2865, 54260, 2648, 44779, 101296, 195164, 199145, 163139, 1644, 12483, 42493, 1751, 119718, 48904, 61397, 12483, 43449, 75230, 4852, 4151, 7201, 23173, 6, 238144, 1644, 4852, 54260, 21923, 42493, 45521 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 54260, 2442, 40096, 125523, 76961, 21776, 7972, 46677, 39293, 2200, 6235, 4852, 21660, 149010, 160238, 51723, 2200, 6, 238144, 1644, 220224, 151614, 1982, 12483, 874, 151461, 56170, 4151, 6, 73381, 35596, 149010, 2442, 874, 54260, 3111, 23405, 705, 2865, 48904, 4944, 13159, 874, 39083, 4, 119055, 12483, 18225, 129165, 98833, 220224, 56170, 199145, 220224, 163139, 1644, 12483, 8947, 123736, 1982, 23822, 54260, 1982, 12483, 4, 292, 3056, 54745, 1211, 4151, 10339, 64260, 6093, 3120, 4151, 80839, 40920, 1470, 177282, 29771, 55823, 1211, 705, 84475, 506, 64260, 22753, 1470, 30682, 10339, 54260, 16747, 6235, 4484, 90848, 8903, 1211, 2200, 163139, 1644, 7243, 151614, 1982, 12483, 6319, 54260, 1211, 192544, 3120, 2808, 30682, 705, 84475, 3056, 22753, 3120, 1470, 30682, 45521, 95064, 119718, 186955, 176727, 6235, 119718, 29766, 12483, 705, 15, 4944, 64260, 3131, 168892, 34076, 75230, 1982, 55242, 1644, 96986, 2205, 36324, 13845, 107581, 45521, 95064, 119718, 186955, 18640, 17310, 2702, 8903, 16629, 40920, 12483, 247, 292, 159696, 1644, 107581, 119055, 39083, 96986, 6235, 159696, 1211, 6, 35596, 113687, 196332, 152848, 6, 68566, 152848, 10339, 119718, 26, 2050, 14856, 110970, 149010, 1211, 2865, 22426, 15350, 4852, 54260, 1211, 106000, 29771, 75578, 7243, 3120, 10676, 27702, 68697, 23173, 13456, 8903, 4852, 21660, 149010, 1211, 43649, 183512, 172060, 185226, 4, 292, 6, 35596, 59919, 2882, 95455, 874, 54260, 20315, 1644, 152, 137, 5666, 54260, 1211, 4, 6255, 151614, 1982, 220273, 7243, 3069, 1211, 1470, 30682, 4, 20033, 1644, 17645, 1982, 12483, 7746, 4, 95298, 3373, 26, 68313, 6, 47351, 68324, 506, 36324, 75230, 3069, 151614, 1982, 12483, 4838, 192544, 4, 18225, 6, 205416, 13159, 7243, 2819, 20033, 21923, 81444, 4667, 5332, 22426, 21292, 155787, 12483, 292, 84475, 46050, 80885, 1211, 711, 292, 37271, 3111, 4, 6, 105235, 21295, 18225, 1470, 33414, 22426, 506, 6, 20971, 292, 137, 2648, 120467, 51678, 20033, 7243, 4, 6, 238144, 1644, 18225, 159696, 2882, 7746, 132025, 29659, 75230, 2702, 12483, 155, 27, 16742, 4, 199145, 56170, 4838, 24012, 35189, 23822, 91595, 93975, 11211, 204403, 84316, 30473, 711, 3373, 26, 68313, 6, 47351, 68324, 506, 3069, 151614, 1982, 12483, 4838, 192544, 137, 7201, 23173, 4151, 172312, 2004, 29771, 75578, 3373, 26, 68313, 7243, 6319, 54260, 1211, 68324, 506, 8947, 123736, 1982, 13342, 23822, 54260, 1982, 12483, 711, 163139, 36324, 75230, 42542, 18225, 2808, 54260, 1211, 45521, 506, 44478, 56170, 1470, 54260, 6093, 4269, 64260, 123736, 1982, 119718, 40697, 1211, 4, 1470, 30682, 190859, 37016, 186797, 7265, 47351, 221895, 1211, 45521, 506, 44478, 705, 3056, 54745, 1211, 42493, 4151, 9424, 238144, 16932, 45521, 506, 44478, 4838, 10184, 13845, 23847, 13159, 123073, 22753, 16747, 4838, 46590, 905, 3120, 10676, 21776, 7972, 46677, 104149, 43649, 183512, 172060, 185226, 705, 292, 3523, 54260, 1211, 4, 46464, 40920, 205026, 7243, 123736, 1982, 13342, 5666, 23173, 12483, 2819, 9213, 46244, 163139, 21295, 8947, 6, 80264, 56170, 4151, 64769, 61397, 37271, 73381, 35596, 149010, 2442, 874, 54260, 3111, 23405, 155, 3120, 1470, 54260, 6093, 19302, 54260, 5666, 149010, 2442, 101251, 8903, 1982, 17310, 711, 9213, 506, 17800, 64260, 7243, 874, 151461, 56170, 1470, 54260, 6093, 3523, 64260, 2819, 9213, 46244, 37826, 874, 151461, 56170, 1470, 54260, 6093 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3131, 12984, 2819, 9213, 46244, 9934, 35596, 10339, 54260, 2932, 2819, 9213, 46244, 9934, 35596, 42493, 119055, 77188, 34076, 7682, 32792, 3069, 220224, 1211, 92500, 3069, 6235, 99611, 12483, 95455, 11211, 17017, 40697, 45521, 48974, 110317, 12483, 3120, 4838, 74806, 1644, 91595, 149010, 55451, 101296, 70598, 17310, 4, 6, 238144, 1644, 9213, 46244, 163139, 21295, 1470, 54260, 6093, 16175, 40096, 10213, 506, 21106, 96986, 2200, 177274, 3131, 22426, 14303, 3120, 9213, 46244, 6, 89930, 3131, 16932, 12483, 711, 54745, 1211, 9213, 46244, 6, 225975, 2882, 81444, 4667, 20033, 36324, 4838, 16580, 16747, 163139, 21295, 9213, 46244, 151614, 1982, 12483, 4, 6, 104985, 1751, 109636, 16932, 4, 125523, 4151, 172312, 711, 292, 125523, 35189, 172312, 711, 95298, 1470, 54260, 6093, 172312, 3056, 81444, 4667, 1751, 75230, 1211, 6235, 159696, 1211, 4, 292, 22753, 37826, 29659, 40096, 8903, 17268, 49008, 6428, 99766, 119055, 10705, 9213, 46244, 37826, 7746, 6, 59919, 54260, 110317, 2882, 4, 2200, 1470, 75230, 1982, 3373, 26, 68313, 137127, 6150, 9213, 46244, 564, 54260, 20315, 37826, 7746, 657, 17645, 1982, 4, 42542, 42493, 220224, 1211, 6319, 54260, 1211, 364, 54260, 186461, 123073, 21631, 15703, 163139, 1470, 54260, 123073, 5, 148932, 199145, 119055, 29060, 7746, 6, 23173, 54260, 5666, 123103, 12483, 2205, 1285, 10213, 32670, 109226, 9424, 119718, 40697, 1211, 1470, 54260, 4667, 4, 3373, 54260, 119055, 13845, 107581, 1470, 75230, 205416, 131044, 4, 292, 34654, 131397, 4, 4151, 21733, 75230, 82576, 4, 1285, 21776, 2932, 9221, 17310, 4, 4151, 71107, 4, 1470, 54260, 6093, 10339, 26612, 123559, 4113, 4, 1470, 54260, 6093, 16175, 174121, 101296, 24621, 4, 292, 119055, 29060, 45521, 15529, 50856, 54260, 110317, 12483, 2200, 31807, 54260, 196332, 1211, 1285, 364, 54260, 186461, 4484, 54260, 2882, 3120, 2808, 54260, 6093, 172312, 4, 119055, 13845, 107581, 3056, 45521, 68959, 93975, 21295, 6235, 119718, 29766, 12483, 7265, 1470, 54260, 6093, 1470, 75230, 7201, 120749, 161459, 657, 17645, 30750, 27, 95298, 55242, 46244, 123736, 23741, 364, 77188, 18225, 64699, 1285, 39293, 1644, 30750, 159696, 2442, 16932, 2200, 6, 35596, 113687, 158548, 109226, 564, 54260, 6, 225975, 43178, 84577, 4113, 137, 48775, 103023, 21106, 4113, 155, 117902, 29766, 44779, 4, 564, 54260, 36324, 13845, 107581, 199145, 151614, 1982, 12483, 6235, 44478, 35596, 3069, 7508, 6093, 12483, 7265, 17824, 75230, 36419, 4, 506, 75230, 107581, 4, 7508, 75230, 18415, 4, 21776, 119718, 39083, 905, 10918, 239162, 25207, 10339, 48775, 104149, 4, 95298, 199145, 6428, 135118, 12483, 6150, 2205, 4852, 54260, 6093, 17190, 1982, 12483, 6428, 23173, 55823, 1211, 220224, 6319, 54260, 1211, 69529, 6, 192539, 17310, 42493, 67882, 4944, 12483, 4, 564, 54260, 36324, 13845, 107581, 199145, 6, 147713, 12483, 123736, 1982, 76961, 2702, 230764, 4151, 137, 13342, 17494, 217814, 161459, 6235, 39293, 7972, 145702, 2004, 36053, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 2648, 120467, 364, 54260, 16803, 119055, 12483, 220224, 119055, 109316, 1211, 1751, 75230, 1211, 3120, 6, 71804, 23405, 42493, 5332, 215052, 34533, 9221, 12483, 4, 292, 564, 54260, 165592, 13845, 107581, 199145, 6, 59919, 105235, 506, 12483, 7243, 36324, 364, 54260, 13497, 6235, 506, 2882, 6, 68558, 1285, 21776, 119718, 39083, 905, 10918, 68558 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 36324, 220224, 6428, 23173, 55823, 1211, 22753, 67882, 4944, 12483, 37729, 564, 54260, 3131, 22426, 710, 109316, 3120, 4852, 54260, 6093, 17190, 1982, 12483, 5, 220224, 162726, 71577, 1644, 12483, 1470, 75230, 4667, 3120, 4838, 137, 25207, 150349, 87442, 56170, 1285, 895, 16932, 12483, 16, 2702, 6235, 55823, 54574, 12483, 2004, 3120, 4151, 137, 8903, 39293, 1644, 95494, 23741, 149010, 2442, 16175, 9221, 48904, 54260, 2909, 137, 62808, 4852, 171428, 32054, 54260, 8903, 4852, 239162, 1211, 4, 6, 59919, 30473, 104238, 12483, 220224, 194706, 4, 20033, 6428, 23173, 55823, 1211, 7243, 1285, 5666, 23173, 40697, 6235, 4852, 21660, 149010, 2200, 21776, 7972, 46677, 39293, 160238, 51723, 4, 95298, 1285, 6235, 39293, 139962, 145702, 711, 3131, 109636, 16932, 4, 125523, 4151, 364, 54260, 2442, 40096, 4, 119055, 109316, 1211, 20033, 151614, 1982, 12483, 114955, 2819, 95298, 14004, 56169, 4, 51678, 20033, 7243, 2909, 292, 9213, 46244, 6, 59919, 105235, 506, 2882, 2819, 7243, 6, 238144, 1644, 95455, 2865, 54260, 20315, 1644, 6, 94741, 63020, 6235, 506, 12483, 4838, 68697, 54260, 96986, 51678, 220224, 7243, 151614, 1982, 12483, 4838, 192544, 4, 42493, 238144, 1644, 220224, 151614, 1982, 12483, 7746, 564, 54260, 20315, 3069, 25616, 176727, 4, 292, 3523, 54260, 1211, 4, 43449, 75230, 4852, 4151, 7201, 23173, 6, 238144, 1644, 4852, 54260, 27855, 51723, 7746, 2200, 6, 238144, 1644, 220224, 151614, 1982, 12483, 874, 151461, 5, 2200, 95455, 22444, 23741, 7746, 6, 68558, 37271, 48775, 103023, 21106, 155, 711, 2200, 95455, 37826, 42493, 10676, 187667, 3069, 6, 80264, 1470, 54260, 1211, 145813, 47351, 137, 75290, 8903, 1211, 4151, 6235, 39293, 139962, 145702, 2004, 292, 23165, 4151, 1470, 54260, 109985, 6093, 199145, 119055, 29060, 220224, 1470, 75230, 2702, 104378, 3069, 6, 80264, 2205, 220224, 6093, 6, 119859, 69106, 17190, 1982, 12483, 3120, 137, 25207, 119718, 39083, 92866, 24001, 59461, 12483, 155, 711, 8903, 506, 2882, 73784, 16175, 54260, 61541, 7265, 1470, 54260, 6093, 6, 48775, 103023, 21106, 78653, 711, 9213, 46244, 9934, 35596, 6235, 5666, 75230, 165592, 13845, 107581, 11211, 204403, 84316, 96986, 163139, 1285, 21776, 7972, 46677, 39293, 11211, 204403, 84316, 96986, 711, 153, 5666, 54260, 1211, 4, 230764, 165592, 13845, 107581, 14856, 110970, 12483, 42542, 18225, 7243, 151614, 1982, 12483, 6319, 54260, 1211, 6, 31177, 83811, 711, 10069, 174538, 12483, 199145, 119055, 6093, 12483, 6235, 13458, 75230, 40920, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 6319, 171127, 32792, 13342, 130170, 1982, 25207, 4944, 12483, 4, 51678, 1470, 54260, 23405, 29060, 54260, 21295, 119055, 6093, 12483, 2205, 152, 14856, 10069, 10918, 5666, 40697, 92500, 6, 123131, 103182, 40697, 5, 1285, 14856, 10069, 78683, 96302, 12483, 199145, 18225, 204982, 15, 36419, 78683, 28726, 4, 6, 21106, 29771, 13159, 4, 2702, 26612, 12890, 76776, 2200, 36324, 75230, 6, 238144, 16932, 16, 21923, 76961, 1751, 16870, 32792, 4, 3373, 54260, 2205, 119055, 13845, 104238, 7201, 29766, 2050, 18225, 170479, 220224, 7243, 6, 101470, 4, 54745, 1211, 220224, 21923, 33960, 23741, 12483, 56170, 10676, 119859, 57619, 12483, 6, 75290, 149364, 2200, 1470, 54260, 23269, 3120, 220224, 123073, 33960, 160687, 8903, 163139, 24152, 109226, 68313, 95455, 874, 22426, 15350, 4852, 54260, 1211, 5, 1470, 3373, 4667, 32054, 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 ]
[ 12483, 21923, 1751, 75230, 1211, 3120, 220224, 74806, 205416, 1982, 12483, 4, 26612, 3373, 4667, 21923, 6319, 48775, 20260, 6235, 119718, 29766, 12483, 5, 1470, 75230, 1982, 220224, 67882, 4944, 12483, 7243, 1285, 32054, 75230, 4484, 48775, 20260, 4, 51678, 220224, 1470, 75230, 4667, 7243, 151614, 1982, 12483, 1285, 6235, 119718, 24295, 105235, 163139, 24152, 17310, 230764, 2442, 6093, 6235, 75578, 11556, 16932, 2200, 230764, 10676, 192544, 4, 6, 238144, 1644, 6428, 47351, 21923, 220224, 3069, 3131, 119718, 26612, 4667, 5, 64699, 76961, 41764, 15350, 12483, 199145, 18225, 6319, 75230, 23741, 2205, 1285, 4838, 204403, 18415, 165354, 56170, 23847, 75230, 36419, 45495, 51723, 6235, 50853, 4, 163139, 1751, 12483, 220224, 123073, 6, 101470, 170479, 12483, 7243, 65902, 183216, 92500, 3120, 119055, 13845, 107581, 657, 192539, 220224, 170479, 12483, 7243, 6, 104378, 4, 21923, 4838, 1982, 2702, 39083, 36609, 10705, 5666, 7511, 8300, 32792, 2819, 220224, 1751, 23173, 12483, 7243, 2200, 45223, 55823, 1211, 7243, 5, 123736, 23741, 2865, 39083, 4, 119055, 12483, 14004, 46244, 6, 59919, 71804, 23405, 2882, 215031, 7265, 13845, 564, 54260, 2050, 81444, 20911, 29766, 4, 204982, 7369, 1470, 54260, 4667, 1470, 75230, 4667, 6, 75322, 22426, 15350, 4852, 54260, 1211, 97024, 24621, 10069, 10918, 1211, 199145, 37826, 6319, 54260, 1211, 69529, 10339, 39083, 23269, 4, 84475, 64699, 6319, 54260, 1211, 10339, 39083, 8903, 4, 7243, 4484, 54260, 1211, 221067, 2200, 7243, 6319, 54260, 1211, 620, 91595, 4113, 5, 7369, 163139, 1644, 3120, 1470, 54260, 4667, 41764, 29631, 119055, 6093, 12483, 5, 104985, 95455, 6, 75578, 91595, 176727, 1470, 30682, 7243, 564, 54260, 1470, 54260, 4667, 3069, 6, 101470, 36324, 75230, 10184, 13845, 6235, 50853, 7201, 23173, 10676, 199145, 7369, 37826, 1470, 54260, 4667, 123736, 1982, 8903, 76776, 33716, 4, 3496, 64260, 3131, 199145, 95455, 3056, 30750, 101608, 163139, 119055, 12483, 7369, 6, 59919, 25391, 54260, 47332, 1470, 54260, 4667, 6, 57277, 39340, 4838, 163139, 24152, 32792, 88771, 7265, 13845, 4, 37729, 119055, 13845, 4944, 12483, 9213, 46244, 6319, 35596, 55242, 46244, 6319, 48775, 20260, 119055, 6093, 12483, 5, 10184, 109316, 81444, 20911, 75230, 16847, 160751, 12483, 1285, 174538, 12483, 4838, 46590, 905, 32054, 75230, 12483, 199145, 21923, 220273, 7243, 1751, 119718, 48904, 61397, 5, 1285, 32054, 75230, 67882, 40920, 6, 21106, 54260, 1211, 1285, 1285, 26612, 2932, 29771, 39293, 6150, 22753, 3056, 1751, 119718, 48904, 61397, 4, 3496, 64260, 3131, 30473, 2205, 7243, 4, 2200, 6235, 506, 2882, 7746, 6, 212484, 12483, 123736, 1982, 23822, 54260, 1982, 12483, 2819, 4151, 81444, 20911, 29766, 10213, 236376, 22753, 1470, 75230, 4667, 4838, 75386, 1751, 119718, 48904, 61397, 4838, 46590, 905, 119055, 12483, 7369, 6235, 7916, 13497, 22753, 56170, 7243, 3131, 119718, 48904, 61397, 2200, 7369, 46050, 98833, 220224, 1211, 657, 75230, 1211, 56170, 4838, 160238, 190135, 4113, 137, 29771, 1982, 23822, 54260, 1982, 17310, 2909, 9213, 46244, 6, 59919, 105235, 506, 2882, 36324, 95455, 188485, 43449, 75230, 4852, 1285, 29434, 5, 9934, 75230, 2932, 2865, 183718, 4, 29771, 75578, 7243, 1285, 5332, 46244, 149010, 81444, 20911, 75230, 16847, 5, 10069, 364, 54260, 36419, 6, 64991, 30750, 35189, 4, 1285, 364, 54260, 36419, 22753, 7611, 30750, 35189, 4, 1285, 364, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36419, 5950, 8903, 2865, 54260, 23269, 10213, 35189, 4, 1285, 364, 54260, 36419, 1470, 54260, 110970, 80453, 31623, 109226, 2205, 4151, 1751, 54260, 20315, 4, 1285, 43649, 23173, 39340, 123736, 1982, 111684, 155045, 21338, 12483, 4, 95455, 10184, 109316, 6235, 506, 12483, 4, 6, 57277, 57619, 12483, 4, 145813, 12415, 183216, 4, 199145, 34654, 22680, 75230, 12483, 212632, 7746, 132025, 13342, 2808, 159696, 16747, 12483, 1470, 54260, 23269, 3120, 4151, 221895, 2442, 4, 51678, 85465, 200117, 12483, 10676, 6235, 75230, 110970, 96986, 21776, 124740, 2882, 40096, 4, 95298, 55242, 46244, 55242, 1644, 96986, 5, 14856, 46244, 80885, 16667, 3056, 1285, 4269, 48904, 26394, 41764, 71804, 8903, 2190, 112304, 71616, 2819, 18225, 119055, 77188, 43449, 75230, 4852, 4151, 69355, 29771, 1982, 8903, 3131, 119718, 26612, 40920, 5, 2648, 120467, 1470, 54260, 109985, 4113, 6, 120749, 93975, 7265, 13845, 4, 119055, 13845, 4944, 13159, 42542, 4, 2205, 1285, 185182, 2442, 69355, 4838, 7508, 54260, 119132, 4, 6235, 119718, 710, 36419, 5927, 26612, 23741, 12483, 4, 163139, 36419, 191538, 23741, 149010, 1211, 81444, 20911, 29766, 4, 657, 54260, 40920, 92500, 7265, 162926, 506, 54260, 2882, 130170, 1982, 25207, 4944, 12483, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 2200, 130170, 2932, 171127, 161459, 46654, 4113, 8903, 4, 6, 104985, 55242, 46244, 55242, 1644, 96986, 151614, 1982, 12483, 620, 91595, 4113, 10339, 39083, 8903, 1211, 56170, 35189, 32054, 75230, 26, 2702, 6235, 4852, 88917, 4, 3056, 1285, 6, 123131, 103182, 40697, 130170, 1982, 25207, 4944, 17310, 5, 8947, 6, 59919, 105235, 506, 2882, 7746, 36324, 22753, 3056, 1470, 17310, 48350, 21660, 32792, 4, 3496, 64260, 3131, 2205, 10339, 109316, 119055, 10705, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 65146, 130170, 1982, 90848, 4944, 12483, 119055, 6093, 12483, 3069, 1644, 17645, 1982, 10676, 6235, 4852, 88917, 3120, 35189, 32054, 75230, 4, 3056, 22753, 6235, 4852, 21660, 32792, 5, 15, 1982, 54260, 1285, 168155, 6235, 28726, 8903, 5927, 54260, 2882, 163139, 1644, 6255, 6, 135542, 48350, 89184, 49008, 199145, 22518, 54260, 1982, 12483, 3069, 20033, 6, 159696, 8903, 1211, 874, 22426, 15350, 9719, 21338, 12483, 1470, 54260, 1211, 874, 39083, 56170, 21106, 4113, 874, 39083, 1470, 75230, 7201, 46685, 4484, 170355, 2050, 67882, 4944, 12483, 4, 36324, 220224, 6093, 6, 117404, 3056, 2190, 112304, 34533, 2819, 6255, 2932, 16011, 6319, 54260, 1211, 874, 39083, 7243, 36324, 13845, 107581, 174538, 12483, 4, 7243, 6319, 54260, 1211, 14856, 10069, 10918, 5666, 40697, 4, 7243, 4484, 54260, 1211, 120202, 6093, 40096, 710, 159696, 5, 16, 10069, 6319, 171127, 149010, 130170, 1982, 25207, 4944, 17310, 3120, 4151, 1751, 119718, 48904, 88438, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 61397, 95494, 23741, 6, 16562, 6235, 101296, 40920, 119055, 6093, 12483, 2205, 10339, 39083, 8903, 152848, 10339, 109316, 152, 564, 54260, 165592, 13845, 107581, 30109, 48904, 15307, 54260, 96986, 3120, 7508, 6093, 32054, 75230, 564, 54260, 119055, 13845, 107581, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 105235, 21295, 160238, 4838, 6235, 55823, 46244, 149010, 4, 4838, 17190, 1982, 172398, 8903, 55823, 46244, 149010, 224220, 22426, 7972, 78683, 10918, 68558, 92500, 119055, 12483, 18225, 37826, 1285, 1470, 75230, 128722, 710 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47332, 4151, 32054, 75230, 26, 2702, 17190, 1982, 12483, 3069, 21776, 96986, 103854, 34654, 39293, 130170, 1982, 25207, 4944, 17310, 5, 119055, 12483, 18225, 130170, 13458, 91595, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 2205, 1285, 200795, 1372, 119055, 29771, 4944, 12483, 42542, 95455, 192544, 42493, 17190, 1982, 12483, 5, 15, 89112, 12483, 95298, 220224, 1211, 18225, 170479, 1285, 6319, 171127, 149010, 6235, 28317, 2882, 6428, 23173, 55823, 1211, 49920, 7201, 29766, 2442, 25046, 12483, 3523, 68558, 34654, 200795, 1372, 119055, 29771, 4944, 12483, 2819, 95455, 3056, 119055, 12483, 18225, 6, 238144, 16803, 54595, 42493, 1285, 1751, 119718, 48904, 61397, 137218, 23741, 4, 133190, 1285, 6, 35596, 12890, 16747, 17310, 2205, 4151, 133190, 101296, 44478, 9424, 54260, 2882, 4, 73784, 77208, 3120, 6, 16932, 56052, 4, 42542, 220224, 1211, 6235, 55823, 46244, 32792, 56170, 4151, 32054, 75230, 29771, 35189, 56170, 10676, 192544, 2200, 119055, 12483, 18225, 163139, 1644, 151614, 1982, 12483, 4838, 192544, 199145, 170479, 4852, 54260, 1211, 107020, 29659, 183512, 3069, 17190, 1982, 12483, 2819, 105687, 34654, 39293, 10339, 48775, 8903, 221387, 42493, 4838, 506, 6093, 5, 16, 165592, 13845, 107581, 101251, 105235, 16747, 12483, 4, 36324, 7508, 120467, 17190, 1982, 12483, 3120, 4151, 32054, 75230, 170479, 7038, 104149, 61397, 29060, 29060, 119055, 6093, 12483, 37729, 1285, 130170, 1982, 25207, 4944, 17310, 3120, 4151, 24377, 48904, 61397, 95494, 23741, 4, 4852, 171428, 55242, 46244, 55242, 1644, 96986, 4, 6, 238144, 1644, 14856, 46244, 80885, 16667, 4, 3496, 64260, 3131, 7243, 47783, 4, 42542, 10069, 32054, 75230, 1470, 75230, 34575, 29771, 8903, 1211, 95455, 192544, 123736, 42023, 4838, 6235, 7201, 26612, 46244, 4, 163139, 6319, 48775, 20260, 22753, 4852, 39083, 7243, 151614, 1982, 12483, 6235, 159696, 1211, 3120, 40026, 506, 6093, 5, 23050, 30750, 91275, 54260, 10213, 46685, 20911, 4, 6, 34882, 171127, 149010, 2442, 874, 22426, 15350, 37729, 119055, 13845, 4944, 12483, 18225, 42542, 21776, 96986, 1285, 32054, 75230, 4, 3056, 7369, 1644, 75230, 47332, 3120, 6235, 39293, 7611, 2819, 95298, 3523, 40096, 9221, 32792, 6, 94741, 63020, 18225, 220224, 160238, 75578, 71512, 2882, 13342, 10213, 238144, 104149, 36324, 18225, 37826, 4838, 83182, 3131, 42493, 241997, 364, 183512, 1644, 12483, 5, 10069, 174538, 12483, 199145, 119055, 6093, 12483, 6235, 13458, 75230, 40920, 21923, 152, 6, 23173, 54260, 5666, 147713, 12483, 2205, 54745, 905, 8903, 75578, 11556, 16932, 4838, 364, 21106, 1982, 238144, 107581, 4, 6, 78683, 36609, 183202, 65482, 4, 657, 48904, 8903, 21776, 46244, 84475, 6, 47351, 2808, 171127, 15529, 96302, 199145, 119055, 77188, 132025, 61397, 25046, 12483, 137, 1982, 22151, 16629, 155, 2819, 18225, 6, 212484, 2882, 22753, 6, 186461, 12483, 234917, 165284, 16747, 12483, 2200, 6428, 47351, 235466, 18225, 22753, 6, 23173, 75230, 2702, 2819, 4151, 6, 225975, 43178, 84577, 6093, 137, 2808, 54260, 506, 75230, 2882, 29659, 18167, 2004, 95455, 6, 23173, 54260, 5666, 147713, 12483, 4838, 165284, 2865, 22426, 93975, 58573, 21106, 65482, 3373, 171433, 20315, 2205, 4151, 6235, 75578, 11556, 16932, 2200, 22753, 27702, 50853, 6, 23173, 75230, 2702, 101470, 2819, 119718, 23173, 4113, 24621, 119055, 59929, 6093, 1470, 54260, 110970, 80453, 31623, 109226, 2205, 4151, 6235, 75578, 11556, 16932, 132, 219947, 2205, 4151, 1751 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20315, 247, 564, 54260, 119055, 13845, 104238, 6, 195054, 65482, 5927, 54260, 2882, 18225, 94741, 63020, 22753, 3069, 6093, 29659, 6235, 110317, 141943, 6, 73381, 171428, 4, 6, 59919, 105235, 506, 2882, 7746, 2819, 95455, 23173, 54260, 5666, 147713, 12483, 3120, 4838, 16175, 75322, 204403, 1211, 3120, 6, 119859, 39293, 2205, 364, 21106, 4852, 3120, 4151, 6235, 75578, 11556, 16932, 2819, 1285, 6, 73381, 43178, 17310, 2200, 1470, 75230, 4944, 58679, 8300, 17310, 3120, 4151, 6235, 75578, 11556, 16932, 5, 21106, 4113, 1285, 39293, 174538, 12483, 7038, 104149, 132025, 8903, 159696, 16747, 29060, 119055, 6093, 12483, 43449, 75230, 4852, 3120, 6, 170355, 4944, 59919, 155, 29659, 186797, 4113, 2200, 6235, 14004, 1982, 18415, 14856, 110970, 12483, 4, 3120, 81444, 20911, 75230, 16847, 4, 6, 226112, 131762, 46598, 2865, 22426, 15350, 4852, 54260, 1211, 116597, 119718, 120467, 8947, 6235, 7916, 49008, 7746, 32054, 75230, 12483, 2200, 874, 114436, 199145, 188485, 8947, 123736, 42023, 6319, 54260, 1211, 7201, 29766, 44693, 2648, 17310, 5, 123736, 23741, 21923, 1285, 21776, 124740, 57277, 96986, 221067, 4, 95298, 123736, 23741, 21923, 1285, 10339, 39083, 8903, 1211, 22518, 37016, 149010, 56170, 4151, 32054, 75230, 5, 1285, 163139, 24152, 17310, 3120, 1285, 39293, 9719, 21338, 12483, 3056, 84475, 95455, 123736, 106504, 28726, 1982, 12483, 3120, 1285, 1470, 54260, 506, 54260, 2882, 44779, 3120, 4151, 8903, 75578, 11556, 16932, 119718, 183512, 84475, 4838, 6235, 119718, 710, 101608, 7508, 54260, 7611, 3120, 4151, 6235, 75578, 11556, 16932, 5, 92500, 1285, 10339, 39083, 8903, 3056, 95455, 49920, 7201, 29766, 2442, 25046, 12483, 3120, 119055, 20616, 12483, 2200, 6, 23173, 75230, 2702, 29659, 75230, 2702, 12483, 69355, 7508, 6093, 80839, 40920, 4, 119055, 13845, 4944, 13159, 42542, 6, 101470, 3120, 234917, 165284, 16747, 12483, 78278, 29060, 149010, 193012, 5, 10069, 6319, 171127, 149010, 3523, 61397, 95494, 23741, 96743, 106559, 139365, 25207, 4944, 17310, 42542, 220224, 1211, 6235, 55823, 46244, 32792, 152, 37729, 4838, 43649, 23173, 39340, 564, 137119, 17310, 4, 4838, 2819, 63593, 29766, 17800, 26612, 25222, 4, 199145, 3056, 55242, 46244, 55242, 1644, 96986, 15, 26612, 6235, 119718, 710, 36419, 564, 137119, 17310, 65146, 81444, 4667, 95766, 177274, 1211, 10339, 21106, 220224, 1211, 16, 2819, 37729, 1285, 2190, 50856, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 3120, 10676, 199145, 101296, 40920, 1285, 19302, 54260, 23269, 120202, 6093, 26612, 10918, 68558, 4, 3373, 54260, 37729, 220224, 23269, 2190, 50856, 54260, 23269, 364, 141943, 4, 2702, 54260, 37729, 220224, 23269, 2190, 50856, 54260, 23269, 4, 7243, 1470, 75230, 2702, 8903, 88660, 4944, 18415, 224252, 15529, 96302, 12483, 5, 165592, 26612, 2190, 50856, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 42542, 1285, 6235, 75578, 11556, 16932, 84475, 1285, 4838, 144532, 93975, 16175, 54260, 1644, 12483, 6, 35596, 10918, 16747, 12483, 2200, 874, 48904, 4944, 2865, 21106, 42542, 7746, 7508, 6093, 63259, 7611, 45521, 93509, 80453, 54260, 96986, 4, 103854, 1285, 119055, 10705, 16747, 12483, 2205, 4151, 6235, 75578, 11556, 16932, 4, 2205, 6, 119859, 57619, 12483, 6, 75290, 149364, 2200, 506, 6093, 7201, 29766, 2442, 25046, 12483, 10184, 75578, 4, 73095, 22426, 114650, 15, 21106, 8903, 2865, 54260, 23269, 22639, 55823, 4484, 10918, 68558, 69355 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2050, 564, 137119, 16, 2200, 16175, 75230, 2882, 5, 6, 104985, 115825, 144581, 104238, 238144, 39293, 3056, 95455, 55242, 46244, 55242, 1644, 96986, 5, 7916, 109316, 29434, 5, 9934, 75230, 5666, 2865, 183718, 105884, 12483, 1285, 32054, 75230, 12483, 1470, 54260, 1211, 36324, 125523, 10676, 4484, 171127, 149010, 1211, 874, 22426, 15350, 7038, 104149, 220224, 2205, 177274, 1211, 10339, 21106, 46050, 8903, 1211, 6, 47351, 2808, 75230, 131002, 26612, 8300, 17310, 21374, 25207, 57277, 163177, 4, 65902, 214324, 3142, 95455, 3056, 7243, 137127, 6, 104985, 55242, 1644, 96986, 4, 2205, 10339, 21106, 3120, 6, 47351, 22639, 55823, 4484, 10918, 68558, 3120, 4151, 6235, 75578, 11556, 16932, 84475, 3120, 4838, 43649, 23173, 75290, 564, 137119, 17310, 4, 3056, 6, 47351, 1470, 75230, 131002, 26612, 8300, 17310, 4838, 2050, 22426, 71804, 7611, 5, 2702, 54260, 4151, 874, 22426, 15350, 3056, 6, 130991, 37729, 6319, 171127, 149010, 174538, 12483, 4, 3373, 54260, 103854, 30109, 48904, 15307, 54260, 2882, 4, 1285, 10213, 506, 183512, 1644, 17310, 3056, 1285, 39293, 1644, 30750, 152, 364, 75230, 22426, 2882, 39293, 4944, 32792, 2442, 119718, 4, 6, 159696, 110317, 8947, 12483, 2200, 7508, 54260, 5666, 7972, 4944, 4484, 54260, 5666, 5, 159696, 1211, 4838, 224220, 22426, 105330, 215726, 6, 35596, 119718, 125897, 21295, 7746, 4, 119055, 12483, 18225, 46050, 98833, 10184, 75578, 29771, 35189, 4838, 17824, 75230, 36419, 564, 137119, 17310, 4, 6, 94741, 63020, 18225, 7746, 119055, 141943, 12483, 3069, 1211, 4838, 81444, 20911, 29766, 5, 113889, 133324, 46598, 163139, 76961, 177157, 22426, 97634, 51723, 3120, 874, 22426, 15350, 21923, 6, 59919, 240863, 12483, 4, 68313, 72577, 3069, 151614, 1982, 12483, 4838, 9424, 54260, 2882, 3120, 6, 75290, 149364, 149010, 2442, 22444, 506, 4, 4838, 2050, 564, 13159, 96986, 29060, 149010, 119055, 29771, 4944, 12483, 5, 129150, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 69355, 14856, 46244, 123073, 874, 22426, 15350, 26, 12483, 1470, 54260, 16667, 125523, 10676, 221895, 1211, 42542, 4838, 32054, 75230, 17160, 54260, 1982, 12483, 1751, 119718, 26612, 4667, 84475, 6319, 48775, 20260, 4838, 657, 48904, 8903, 9424, 54260, 2882, 5, 21106, 8903, 2865, 54260, 23269, 6, 148346, 4113, 46685, 4484, 109226, 6, 159696, 8903, 1211, 74806, 1644, 91595, 49268, 25616, 48904, 15307, 54260, 96986, 2451, 1285, 9585, 68959, 5666, 75230, 39293, 21776, 7201, 29766, 101296, 205416, 12483, 2200, 874, 29766, 21106, 34533, 12483, 22444, 55823, 1211, 6, 68558, 10069, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 4, 292, 220224, 2200, 6319, 54260, 1211, 221895, 4, 292, 7265, 10676, 113889, 51723, 137, 2702, 29771, 10918, 21106, 4113, 30109, 48904, 15307, 54260, 96986, 2004, 292, 34076, 54260, 4667, 163139, 220224, 21923, 1285, 1470, 54260, 109985, 4113, 3373, 29771, 10918, 21106, 4113, 30109, 48904, 15307, 54260, 96986, 5, 78278, 3069, 4838, 6235, 119718, 21292, 12483, 17824, 93704, 42542, 18225, 2932, 29766, 6, 225975, 12483, 36324, 1751, 119718, 710, 16747, 46464, 40920, 3056, 33960, 104238, 4838, 3373, 29771, 10918, 21106, 4113, 30109, 48904, 15307, 54260, 2882, 4, 2205, 20315, 2050, 6, 109995, 36324, 22753, 107776, 3120, 4838, 3373, 29771, 10918, 21106, 6093, 1470, 17310, 6093, 91595, 18640, 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 ]
[ 6235, 8903, 1211, 4151, 119718, 710, 40920, 18640, 82576, 19302, 59929, 4113, 4, 6235, 8903, 1211, 4151, 4838, 68697, 54260, 16932, 21733, 59929, 4113, 5, 1285, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 34076, 54260, 4944, 12483, 6, 225975, 23173, 1470, 75230, 2702, 1285, 6235, 39293, 1644, 95494, 23741, 149010, 19302, 59929, 12483, 4, 159696, 1644, 107581, 21923, 76961, 14856, 46244, 84475, 119055, 76632, 61397, 34076, 54260, 107581, 7544, 15662, 56688, 56170, 1285, 39293, 25616, 48904, 15307, 54260, 96986, 5, 2205, 4151, 10213, 32670, 17310, 5332, 215052, 34533, 54196, 4838, 46711, 75230, 6093, 93975, 6, 59919, 73375, 35189, 17310, 3120, 76961, 19302, 59929, 12483, 5, 3149, 5047, 151614, 1982, 12483, 42493, 6319, 54260, 1211, 6235, 15350, 91595, 131002, 48904, 15307, 54260, 96986, 5, 564, 54260, 137, 119718, 15350, 20315, 155, 14856, 110970, 12483, 4, 119055, 13845, 107581, 21923, 125523, 42493, 137, 10918, 119718, 15350, 15533, 54196, 155, 6235, 119718, 29766, 12483, 3120, 2808, 54260, 90848, 109636, 2808, 40697, 6319, 39083, 171433, 34533, 12483, 4, 21923, 1285, 119055, 114436, 54260, 4113, 657, 54260, 20315, 1211, 1470, 75230, 4667, 2190, 91275, 37016, 84577, 5, 2702, 26, 68313, 119055, 23173, 3131, 54260, 5666, 32792, 6, 47351, 3120, 1285, 10213, 506, 186955, 65482, 116486, 73215, 34079, 185758, 18415, 4, 69355, 1285, 364, 21106, 30750, 116486, 73215, 34079, 185758, 18415, 4, 199145, 17190, 1982, 12483, 42493, 2205, 6, 119859, 57619, 12483, 3120, 59919, 4484, 75230, 55823, 1211, 220224, 6093, 6, 75290, 149364, 4, 6235, 506, 2882, 7746, 6319, 54260, 1211, 1470, 54260, 109985, 4113, 42493, 1470, 75230, 2702, 3120, 26612, 73095, 13805, 25603, 44478, 30109, 48904, 15307, 54260, 2882, 5, 3120, 1285, 6, 73381, 35596, 149010, 116486, 73215, 34079, 185758, 18415, 68313, 1751, 75230, 1211, 123736, 1982, 238197, 2819, 220224, 21923, 14856, 46244, 123073, 874, 39083, 6319, 48775, 20260, 2205, 220224, 6093, 28726, 1982, 12483, 5, 6, 104985, 67882, 91275, 2865, 39083, 21923, 1285, 364, 21106, 30750, 116486, 73215, 34079, 185758, 18415, 125523, 6235, 55823, 46244, 149010, 2442, 163139, 1285, 4269, 59929, 12483, 22680, 75230, 12483, 4, 6, 238144, 1644, 1285, 39293, 6, 212484, 12483, 7746, 5332, 23741, 139365, 20616, 183512, 1644, 12483, 163139, 1285, 200795, 5, 4838, 3373, 4667, 32054, 75230, 12483, 199145, 160751, 12483, 7746, 657, 54260, 40920, 2808, 88680, 3069, 1211, 4838, 6, 212915, 4, 4838, 46590, 905, 123736, 42023, 6235, 50853, 4, 21923, 119055, 114436, 13456, 132025, 8903, 105235, 20911, 4, 92500, 123736, 23741, 2865, 39083, 4, 119055, 12483, 4838, 4231, 17310, 6093, 6, 133111, 54745, 185226, 36324, 7369, 37826, 657, 54260, 40920, 1470, 54260, 5666, 139449, 4838, 45521, 16803, 17310, 2200, 37826, 6235, 4944, 71577, 2882, 4838, 137, 185742, 506, 26, 28726, 2004, 6, 238144, 1644, 7369, 37826, 2808, 88680, 238197, 123736, 45521, 17800, 54260, 2442, 174121, 18415, 15, 2451, 84475, 4838, 46590, 905, 6, 47351, 2190, 5666, 59919, 506, 54260, 2648, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 5, 103928, 2442, 174121, 18415, 16, 32054, 75230, 4, 4151, 39293, 506, 2882, 7369, 220273, 27702, 50853, 36324, 1285, 6235, 119718, 10705, 5666, 65482, 32532, 167305, 68313, 292, 4838, 4269, 171433, 29766, 4113, 4113, 84475, 15857, 46590, 21292, 5, 69355, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 221895, 2442, 220224, 2882, 4, 6235, 20616, 2442, 18415, 17190, 168155, 8580, 4, 42542, 18225, 6, 225975, 12483, 215031, 17824, 75230, 36419, 9424, 29771, 54574, 874, 114436, 21923, 132025, 8903, 105235, 20911, 2200, 36324, 1285, 22753, 36419, 7508, 6093, 2200, 10069, 119055, 23173, 710, 24621, 657, 17645, 30750, 101608, 21733, 6093, 109226, 3120, 1470, 54260, 6093, 1751, 159696, 2442, 46685, 40697, 1211, 4, 23165, 225975, 23173, 16175, 17645, 6293, 6, 48775, 103023, 21106, 12483, 2200, 1470, 88945, 21106, 34533, 40697, 1211, 45521, 25207, 46244, 6093, 6, 29766, 6093, 3120, 2808, 54260, 6093, 5332, 147713, 84577, 12483, 6, 57277, 129891, 22426, 23173, 2882, 59461, 4, 6, 59919, 20315, 165354, 4838, 30109, 171433, 40697, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 5, 46711, 75230, 215206, 4, 95298, 123736, 23741, 88771, 711, 26612, 6235, 119718, 710, 36419, 5927, 26612, 7201, 16932, 81444, 20911, 29766, 65146, 6, 225975, 12483, 36324, 7369, 4269, 23173, 84577, 54196, 7511, 2882, 56170, 6319, 54260, 119132, 4838, 133880, 56170, 7746, 6, 21106, 54260, 1211, 292, 2200, 56170, 1285, 119055, 13845, 107581, 6, 150839, 64260, 130170, 46464, 40920, 5, 30473, 104238, 14856, 46244, 163139, 836, 6, 149364, 8300, 35596, 874, 114436, 151614, 1982, 12483, 4269, 171433, 29766, 4113, 4113, 5, 2200, 2808, 3373, 4667, 3120, 220224, 67882, 4944, 12483, 6319, 48775, 20260, 220224, 123073, 32054, 75230, 12483, 4, 119055, 12483, 220224, 364, 54260, 48775, 96986, 5, 6, 159696, 110317, 80885, 16667, 49537, 6, 123559, 68558, 2190, 5666, 113687, 196332, 32054, 75230, 12483, 151614, 1982, 12483, 43649, 186797, 4269, 171433, 29766, 4113, 4113, 95766, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 5, 1470, 17310, 73381, 20616, 2442, 1470, 54260, 1211, 22753, 1982, 29060, 13845, 3120, 203387, 34072, 152848, 151614, 1982, 12483, 3069, 45521, 136108, 48904, 165354, 220224, 6093, 34072, 16747, 4484, 54260, 2882, 4151, 4269, 171433, 29766, 25207, 4113, 4, 7265, 119055, 13845, 104238, 220224, 123073, 1470, 75230, 8903, 1211, 151614, 1982, 12483, 7746, 132025, 8903, 105235, 20911, 564, 54260, 4151, 8903, 28317, 2882, 4, 119055, 12483, 10676, 192544, 26, 2702, 6319, 137377, 3056, 6235, 147713, 12483, 56170, 4838, 6, 238144, 28726, 2205, 35189, 7038, 16932, 26, 2702, 1751, 54260, 20315, 5, 64260, 21923, 234917, 163825, 44779, 3120, 1285, 10339, 39083, 8903, 1211, 3120, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 152, 2865, 48904, 107581, 874, 114436, 4838, 54260, 1644, 12483, 7746, 3069, 2200, 6, 105235, 165354, 6, 68558, 220224, 123073, 2376, 850, 5, 104274, 123073, 119055, 23173, 96986, 78278, 220224, 21923, 45521, 17800, 54260, 2442, 174121, 2882, 4, 119947, 1285, 132025, 105235, 4484, 17310, 4852, 39083, 220224, 1211, 4838, 6235, 4852, 21660, 149010, 4, 45521, 68959, 93975, 21295, 3120, 1285, 6, 159696, 21295, 149010, 2200, 21776, 7972, 46677, 39293, 2808, 75230, 205416, 131044, 12483, 5, 3373, 26, 68313, 4838, 6, 56052, 172312, 18630, 5927, 199145, 4151, 72577, 6093, 6, 212915, 13458, 141847, 2882, 220224, 1211, 657, 17645, 75578, 45223, 23741, 5, 119718, 710, 123736, 23741, 119055, 6093, 12483, 34654, 1751, 65482, 82563, 20635, 3120, 4838, 4231, 17310, 6093, 32054, 75230, 6, 59919, 7511, 4944, 16932, 2205, 1285, 200795, 119055, 29771, 4944, 12483, 125523, 4151, 364, 54260, 2442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26632, 711, 22753, 37826, 6235, 23822, 75230, 63532, 3120, 4838, 10339, 26612, 123559, 4113, 7265, 4838, 192544, 6, 29766, 6093, 7265, 114955, 4, 6, 159696, 8903, 1211, 11556, 16932, 1644, 17645, 30750, 2200, 7038, 16932, 21847, 7682, 2819, 95298, 22753, 3056, 132025, 8903, 105235, 20911, 6235, 119718, 29766, 12483, 4, 6319, 48775, 20260, 6235, 119718, 29766, 12483, 4, 22753, 37826, 6235, 7972, 96986, 4, 9213, 46244, 6235, 75578, 11556, 16932, 3056, 6235, 90536, 1982, 12483, 6, 82576, 15350, 84475, 4, 37729, 6, 47351, 120202, 6093, 26612, 10918, 68558, 4, 199145, 3056, 4838, 10339, 39083, 8903, 69355, 1470, 4269, 171433, 29766, 4113, 4113, 4, 3056, 22753, 45521, 93509, 15231, 24621, 21295, 6235, 119718, 29766, 12483, 4, 18225, 37826, 6, 23173, 75230, 2702, 8903, 120620, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 117260, 96986, 9213, 46244, 6235, 75578, 11556, 16932, 84475, 1285, 1470, 54260, 6093, 105235, 4484, 2200, 22753, 42542, 6319, 54260, 1211, 2865, 39083, 14856, 46244, 42493, 151614, 1982, 12483, 6319, 54260, 1211, 114955, 5, 13159, 6235, 155697, 2882, 1470, 75230, 4667, 36324, 7508, 6093, 6, 212915, 4, 42493, 163139, 2702, 186797, 47833, 220224, 1211, 6, 21106, 18415, 2932, 171433, 29766, 4113, 4113, 2205, 125523, 56170, 47351, 4, 47833, 22753, 620, 29771, 23741, 125523, 2205, 220224, 1211, 213909, 21106, 4, 105235, 20911, 6, 68558, 220224, 1211, 32054, 75230, 119055, 12483, 7369, 364, 54260, 2442, 40096, 2200, 6428, 47351, 4, 119055, 12483, 22753, 657, 54260, 2648, 2882, 4, 564, 37016, 203749, 2882, 7369, 7746, 4, 36324, 7369, 37826, 172312, 6235, 506, 40096, 7265, 4838, 30109, 135118, 149010, 2442, 22680, 75230, 5, 2200, 7369, 65146, 23050, 1982, 18167, 8248, 4944, 12483, 4838, 46711, 54260, 16803, 564, 54260, 221895, 32054, 75230, 12483, 4, 564, 54260, 2050, 21847, 48350, 13845, 4, 564, 54260, 2050, 137, 75290, 18415, 1644, 2004, 2205, 220224, 1211, 19302, 29771, 1982, 27, 7369, 3056, 4151, 30109, 18406, 711, 2702, 26, 68313, 20033, 1751, 75230, 1211, 4838, 3373, 4667, 874, 39083, 160238, 130991, 3069, 55242, 506, 12483, 4838, 4231, 109226, 212915, 199145, 163139, 1644, 364, 54260, 48775, 96986, 2205, 4838, 58571, 89930, 9424, 54260, 2882, 159190, 4, 42493, 220224, 186797, 2808, 75230, 2702, 8903, 506, 54260, 21295, 2200, 95455, 1470, 54260, 109985, 4113, 7265, 13845, 37729, 119055, 13845, 4944, 13159, 6255, 151614, 1982, 8903, 4484, 35596, 1470, 30682, 40653, 2442, 16870, 12483, 123736, 1982, 13342, 147713, 12483, 1285, 364, 54260, 2442, 26632, 4, 3056, 6235, 159696, 1211, 4, 2808, 30682, 3069, 6, 225975, 12483, 36324, 220224, 1211, 32054, 75230, 119055, 29060, 3120, 1470, 30682, 6319, 48775, 20260, 119055, 6093, 12483, 2200, 36324, 30473, 119055, 29060, 1470, 30682, 1470, 75230, 131002, 135118, 12483, 4838, 3373, 4667, 6235, 50853, 38, 6, 104985, 119055, 12483, 6255, 151614, 25491, 30682, 132025, 8903, 68566, 55823, 1211, 564, 54260, 4151, 115222, 3131, 65482, 4, 37826, 7369, 7746, 130170, 8903, 8903, 1982, 12483, 711, 24621, 46244, 123073, 874, 114436, 6235, 506, 12483, 3069, 116486, 73215, 34079, 185758, 18415, 4, 3496, 64260, 3131, 220224, 21923, 45521, 17800, 54260, 2442, 174121, 2882, 5, 220224, 188485, 2181, 564, 54260, 148932, 6235, 28726, 8903, 5927, 54260, 2882, 119055, 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 ]
[ 4852, 54260, 6093, 32054, 75230, 42542, 220224, 42493, 1470, 75230, 7201, 101470, 5, 2200, 1751, 109636, 16932, 6, 199511, 220224, 1285, 25616, 48904, 15307, 54260, 2882, 3120, 4151, 116486, 73215, 34079, 185758, 16932, 3069, 220224, 6093, 6235, 4852, 21660, 149010, 2442, 32054, 75230, 5, 101328, 4, 1285, 116486, 73215, 34079, 185758, 18415, 657, 176727, 123736, 23741, 194706, 710, 47332, 1982, 23173, 2205, 564, 29060, 9424, 119718, 40697, 1211, 212915, 2200, 32054, 75230, 711, 2865, 48904, 4944, 2865, 39083, 116486, 7916, 2882, 54196, 4838, 4074, 186145, 122133, 1982, 22426, 90848, 73215, 34079, 185758, 18415, 3120, 35189, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 4838, 4231, 17310, 13845, 4, 364, 54260, 2442, 40096, 7265, 1470, 30682, 2200, 43649, 87442, 2808, 30682, 6, 68558, 5, 119055, 12483, 7369, 119055, 77188, 6235, 119718, 29771, 46244, 3120, 9213, 46244, 30109, 48904, 15307, 54260, 2882, 37729, 4151, 25616, 48904, 15307, 54260, 2882, 199145, 7369, 37826, 3120, 9213, 46244, 6235, 4484, 90848, 8903, 1211, 2200, 163139, 1644, 42493, 7265, 14004, 46244, 17190, 1982, 12483, 4, 9424, 119718, 23174, 2882, 1470, 30682, 4151, 6, 75322, 89184, 78683, 59461, 6, 120749, 6093, 9213, 46244, 3069, 36723, 76216, 1644, 12483, 4838, 6, 159696, 4944, 35596, 149010, 1211, 657, 75230, 1211, 5, 95455, 364, 54260, 16803, 6235, 65848, 1982, 12483, 1285, 564, 77928, 8300, 17310, 69355, 4151, 32054, 75230, 3069, 6, 238144, 2882, 711, 2200, 20033, 21923, 564, 37016, 84577, 14856, 46244, 123073, 36324, 13845, 107581, 10339, 109316, 5, 39293, 46244, 10184, 13845, 874, 39083, 7213, 20911, 4151, 81444, 20911, 29766, 4838, 6, 119859, 69106, 4231, 109226, 6, 212915, 3069, 22426, 90848, 73215, 34079, 185758, 18415, 4, 119055, 12483, 1285, 168155, 119055, 39083, 2882, 7746, 125523, 6, 71804, 23405, 241997, 10213, 61397, 12483, 123736, 42023, 4838, 32054, 75230, 5, 163139, 1751, 141943, 32792, 711, 23822, 75230, 6093, 18640, 3056, 3069, 55242, 506, 12483, 4231, 17310, 44779, 4, 114955, 3120, 423, 78278, 729, 6, 101328, 46244, 144754, 4838, 4269, 171433, 29766, 29771, 4113, 4113, 199145, 220224, 6, 199511, 3120, 220224, 6093, 163139, 4852, 15907, 564, 54260, 6, 73381, 35596, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 2648, 5666, 418, 7972, 30750, 32054, 75230, 12483, 4, 3069, 119055, 13845, 107581, 220224, 21923, 45521, 93509, 28726, 22426, 2882, 6235, 119718, 29766, 12483, 3120, 137, 26217, 18415, 73375, 35189, 2909, 2702, 26, 68313, 4838, 22518, 37016, 32792, 4, 24012, 35189, 23822, 91595, 18640, 10339, 139365, 25207, 4944, 12483, 6319, 48775, 20260, 3069, 67882, 4944, 12483, 220224, 1211, 32054, 75230, 4, 119055, 13845, 107581, 3056, 123736, 23741, 36324, 75230, 2190, 5666, 113687, 158548, 4, 2190, 5666, 119718, 21292, 141943, 4, 6, 76776, 710, 119718, 92500, 119055, 13845, 107581, 204982, 10676, 6, 59919, 25207, 16932, 40697, 1211, 4, 7369, 7201, 26612, 46244, 171428, 2200, 1470, 75230, 2702, 8903, 1982, 212484, 171428, 6, 212915, 9213, 46244, 6, 75290, 149364, 4, 9213, 46244, 657, 54260, 1982, 4, 9213, 46244, 657, 17645, 30750, 4, 76961, 2702, 199145, 22753, 59919, 87311, 98833, 4, 2205, 99509, 6093, 6, 59919, 23822, 75230, 2808, 17310, 711, 119718, 120467, 6, 48904, 69801, 48904, 98833, 15857, 46590, 21292, 4, 27855, 56169, 29434, 5, 564, 71804 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3131, 88660, 123736, 1982, 4, 6150, 2205, 75578, 79981, 151614, 1982, 12483, 209, 6, 149364, 8300, 35596, 1470, 54260, 5666, 119718, 29771, 506, 59461, 1285, 39293, 30109, 48904, 15307, 54260, 2882, 5, 5, 3120, 805, 116486, 73215, 34079, 185758, 18415, 4, 151614, 1982, 12483, 2248, 78278, 2510, 15857, 46590, 21292, 5, 10069, 34482, 170355, 107581, 3120, 1285, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 3056, 1285, 116486, 73215, 34079, 10918, 68558, 10069, 116486, 73215, 34079, 10918, 68558, 3056, 4151, 17824, 75230, 101608, 21776, 168155, 119718, 29771, 23173, 4, 3120, 119055, 48904, 12483, 10069, 874, 114436, 6, 104378, 47783, 27855, 109636, 1211, 95455, 33960, 23741, 2200, 3120, 1054, 48904, 12483, 8947, 3069, 2932, 34533, 7746, 230764, 4151, 4269, 48904, 89930, 6235, 39293, 139962, 145702, 5, 10069, 116486, 73215, 34079, 10918, 68558, 3056, 178766, 76961, 24621, 16667, 1470, 17310, 105330, 4, 22753, 3056, 1285, 25391, 37016, 149010, 119055, 10705, 16747, 4, 1285, 19302, 29771, 92605, 4113, 3120, 63259, 7611, 4, 4151, 123736, 1982, 23847, 88917, 37729, 119055, 13845, 4944, 12483, 178766, 17190, 1982, 12483, 3056, 190800, 8903, 23822, 135118, 12483, 7265, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 5, 26612, 10213, 65606, 2865, 16932, 32054, 48904, 8300, 75230, 4852, 152185, 6, 23173, 56169, 37826, 4838, 874, 39083, 6235, 225975, 2882, 152, 37271, 10069, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 21923, 1285, 183582, 199145, 1285, 116486, 73215, 34079, 185758, 18415, 33960, 1982, 12483, 1285, 45521, 17800, 54260, 2442, 174121, 18415, 32054, 75230, 12483, 3069, 220224, 6093, 172312, 2909, 104985, 7265, 21776, 2050, 163139, 1644, 6255, 42493, 6, 225975, 12483, 36324, 6, 104985, 1285, 116486, 73215, 34079, 185758, 18415, 4, 2648, 120467, 364, 54260, 16803, 36324, 6, 104985, 32054, 75230, 12483, 21923, 1285, 131397, 196332, 5, 1285, 116486, 73215, 34079, 185758, 18415, 119055, 6093, 12483, 132025, 8903, 105235, 20911, 3120, 874, 114436, 4, 95455, 364, 54260, 16803, 36324, 874, 114436, 21923, 159696, 110317, 80885, 16667, 6, 172060, 185226, 36324, 75230, 131397, 158548, 163139, 32054, 75230, 12483, 2205, 4151, 45521, 93509, 80453, 54260, 2882, 17310, 69355, 73095, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 5, 3523, 40096, 9221, 32792, 21923, 56170, 47351, 14856, 46244, 6093, 25207, 78104, 73381, 123073, 34482, 170355, 4944, 12483, 4, 163139, 12, 1285, 2190, 5666, 190386, 710, 106504, 54260, 2882, 3120, 1470, 3373, 4667, 874, 114436, 3069, 364, 54260, 48775, 96986, 95766, 3523, 54260, 2882, 4, 1285, 7544, 39293, 48775, 1982, 109316, 4838, 68697, 54260, 125830, 75578, 23174, 183216, 3120, 34654, 32054, 75230, 12483, 4, 34654, 7544, 146598, 63593, 29766, 21106, 3120, 7508, 6093, 6235, 39293, 1644, 95494, 23741, 199145, 6, 59919, 29659, 75230, 16803, 4838, 874, 54260, 20315, 1644, 4, 119055, 13845, 107581, 2205, 6235, 119718, 29766, 12483, 4838, 67882, 24621, 123736, 42023, 7508, 6093, 6235, 39293, 1644, 95494, 23741, 26, 2050, 116329, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 9183, 29659, 52480, 17310, 4, 1285, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 14856, 5, 6093, 2200, 32054, 75230, 12483, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 4, 1285, 2190, 214766, 54260, 30750, 74806, 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 ]
[ 206014, 710, 30750, 874, 29766, 21106, 7201, 23173, 874, 114436, 2200, 56170, 32054, 75230, 12483, 4, 4838, 620, 91595, 20616, 54260, 1982, 4, 620, 91595, 4113, 895, 16932, 12483, 2200, 36324, 75230, 6, 238144, 16932, 5, 51723, 42542, 6, 225975, 12483, 36324, 2205, 64699, 177274, 1211, 10339, 21106, 3056, 4838, 6, 212915, 15, 39293, 1644, 33716, 114436, 4838, 32054, 75230, 16, 2205, 4151, 160238, 2050, 3120, 4838, 32054, 75230, 12483, 506, 141943, 44478, 6, 29766, 6093, 4838, 83182, 3131, 4, 124724, 87442, 131397, 158548, 2205, 10676, 6, 23173, 54260, 5666, 240863, 3120, 4838, 874, 54260, 20315, 1644, 2205, 124724, 54260, 506, 12483, 3120, 1285, 116486, 73215, 34079, 185758, 18415, 5, 36324, 13845, 107581, 4838, 2932, 35596, 12483, 3120, 4151, 116486, 73215, 34079, 10918, 68558, 6235, 7916, 49008, 7746, 2205, 6, 57277, 69106, 113687, 12483, 4, 27702, 506, 49008, 4, 6235, 159696, 22849, 12483, 4, 2205, 29659, 77188, 2200, 4151, 59919, 4, 292, 40653, 14081, 5, 51723, 6, 225975, 2882, 194706, 36324, 1285, 116486, 73215, 34079, 10918, 68558, 3056, 7243, 43449, 75230, 4852, 4838, 137, 5666, 75230, 15231, 2932, 9213, 69801, 2004, 6, 104985, 1470, 75230, 4667, 4838, 162926, 4113, 67826, 26394, 3120, 4151, 10339, 26612, 123559, 4113, 6235, 8903, 1211, 10705, 5666, 2865, 29766, 21106, 131044, 5, 2200, 36324, 75230, 163139, 1285, 10339, 26612, 123559, 4113, 3056, 1470, 54260, 23269, 3120, 1285, 23847, 88917, 71804, 8903, 1211, 3120, 4151, 6235, 39293, 139962, 145702, 4, 3056, 1470, 75230, 4667, 1285, 116486, 73215, 34079, 29789, 68558, 1470, 67826, 26394, 3120, 4151, 6235, 39293, 1644, 95494, 23741, 5, 16742, 4, 199145, 56170, 4838, 7201, 26612, 123559, 4113, 711, 199145, 56170, 4838, 6, 48350, 13845, 95494, 23741, 711, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 2205, 82977, 6, 101328, 24152, 35189, 6235, 46464, 166968, 54260, 125830, 20315, 22426, 101503, 96302, 3120, 4151, 43649, 142429, 2882, 82977, 4231, 29766, 15307, 64260, 6, 59919, 71804, 23405, 2882, 3120, 1285, 87197, 82977, 4231, 29766, 75290, 81444, 20911, 75230, 16847, 220224, 170479, 12483, 144754, 2882, 54260, 1644, 12483, 163139, 7916, 13845, 74806, 1644, 91595, 131002, 48904, 39340, 220224, 151614, 1982, 12483, 10213, 506, 183512, 13845, 2882, 2205, 101328, 46244, 62977, 5, 43449, 75230, 4852, 146646, 81444, 20911, 75230, 16847, 151614, 1982, 12483, 6235, 35596, 59919, 2882, 2200, 151614, 1982, 12483, 171433, 8903, 8903, 1982, 12483, 1285, 9424, 29771, 54574, 12483, 199145, 220224, 151614, 1982, 12483, 7746, 241997, 4151, 87311, 49008, 15, 47351, 102562, 16, 2819, 3373, 26, 68313, 1470, 75230, 2702, 130991, 702, 135407, 15857, 46590, 21292, 61541, 4113, 4, 744, 105028, 81414, 149364, 2702, 4, 5896, 5016, 1751, 167622, 90848, 88945, 1211, 15, 219947, 15857, 7916, 69181, 71512, 6, 95494, 20260, 93497, 194, 95455, 506, 54260, 16803, 201, 3768, 12975, 10339, 109316, 3120, 73095, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 2205, 427, 73880, 4, 1982, 54260, 119055, 76632, 61397, 163139, 1470, 54260, 1211, 29434, 15907, 13845, 81444, 20911, 75230, 16847, 5, 3373, 26, 68313, 6235, 159696, 1211, 2190, 5666, 190386, 18167, 13342, 46050, 8903, 1211, 4838, 10339, 39083, 29659, 186797, 12483, 21776, 22426, 99766, 6, 159696, 8903, 1211, 1285, 9424, 29771, 54574, 10339, 109316, 199145, 4852 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 171428, 10213, 506, 183512, 13845, 2882, 6235, 119718, 29766, 12483, 2205, 1285, 1285, 150349, 172398, 6093, 21292, 2200, 145813, 710, 18415, 44478, 4, 29771, 75578, 4151, 6235, 46464, 50856, 506, 54260, 125830, 20315, 22426, 23173, 2882, 96302, 6, 238144, 16803, 36324, 34654, 39293, 6, 48904, 29659, 21106, 96986, 85465, 200117, 12483, 1470, 75230, 7201, 13342, 2808, 238144, 104149, 4838, 9424, 29771, 54574, 199145, 3056, 137, 24621, 46244, 123073, 874, 39083, 17824, 13159, 6093, 905, 54260, 1285, 3120, 4151, 41764, 12415, 119718, 40096, 80453, 129071, 125897, 2909, 20632, 4, 2200, 1285, 199145, 6, 212484, 12483, 7746, 22426, 90848, 73215, 34079, 10918, 68558, 111339, 219947, 10213, 506, 183512, 1644, 12483, 3120, 6319, 54260, 1211, 69529, 81444, 20911, 29766, 705, 6255, 6428, 135118, 6150, 18225, 119055, 29060, 219947, 220224, 1211, 6, 238144, 2882, 3120, 26, 5, 88771, 119055, 12483, 18225, 6, 95494, 56169, 123736, 1982, 1285, 9424, 29771, 54574, 10339, 109316, 3120, 36419, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 2205, 82977, 6, 101328, 24152, 2205, 4838, 6, 101328, 46244, 9424, 119718, 40697, 1211, 2445, 4, 4283, 92500, 2445, 4, 6331, 2819, 1470, 75230, 1982, 6255, 151614, 1982, 4838, 186421, 4, 3056, 95455, 33960, 104238, 2205, 10676, 109995, 6150, 6255, 29566, 7611, 123736, 1982, 230764, 3069, 6, 159696, 110317, 5, 95455, 364, 54260, 16803, 36324, 6, 159696, 110317, 80885, 16667, 2808, 54260, 1211, 4838, 40920, 13845, 3120, 4151, 82977, 4231, 29766, 75290, 10213, 61541, 75290, 17310, 657, 54260, 2648, 2882, 3120, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 711, 119055, 12483, 9213, 46244, 55242, 506, 2882, 382, 14856, 110970, 12483, 4, 3056, 1470, 54260, 59461, 6319, 48775, 20260, 35189, 75230, 6293, 711, 204982, 9213, 46244, 7746, 21776, 107581, 191538, 23741, 199145, 95455, 190859, 54260, 2882, 705, 2200, 96951, 6, 101328, 24152, 3056, 7243, 7369, 61397, 163139, 221895, 43649, 16870, 2882, 27, 10705, 194734, 68959, 72158, 109226, 6, 159696, 8903, 1211, 4151, 116486, 73215, 34079, 10918, 47351, 10069, 116486, 73215, 34079, 10918, 68558, 3056, 2205, 178766, 6235, 39293, 1644, 95494, 23741, 47783, 230764, 35189, 6, 57277, 8903, 2702, 29766, 20315, 3111, 23405, 5, 22753, 657, 176727, 40653, 194706, 163139, 4838, 1751, 119718, 23173, 89930, 3131, 159696, 2442, 6093, 119055, 39083, 165354, 199145, 6, 59919, 105780, 82576, 2882, 178766, 17190, 1982, 12483, 2819, 22753, 3056, 10069, 19302, 29771, 92605, 4113, 4, 3120, 119055, 13845, 104238, 8947, 6, 150839, 4113, 47332, 7746, 4151, 33960, 23741, 161459, 74806, 57277, 20260, 119718, 120467, 29434, 23174, 2882, 6, 23173, 54260, 1211, 2205, 76961, 7213, 40920, 12483, 3120, 4151, 10213, 61541, 75290, 17310, 9747, 30473, 3069, 3069, 7201, 75230, 1644, 12483, 2819, 22753, 3056, 4151, 123736, 1982, 23847, 88917, 2205, 119055, 13845, 4944, 12483, 8947, 10339, 186955, 6, 23173, 54260, 1211, 92500, 119055, 77188, 6, 59919, 7511, 40920, 29060, 4838, 17824, 75230, 101608, 16175, 54260, 1644, 3120, 10676, 10339, 54260, 16667, 96986, 2200, 564, 13159, 96986, 14856, 110970, 12483, 101296, 16932, 710, 21106, 5, 3120, 9213, 46244, 107776, 7369, 7511, 35189, 17310, 4, 78104, 73381, 13159, 4, 10705, 23269, 16747, 32792, 78104, 73381, 13159, 657, 54260, 20315, 1211, 4, 3120, 9213, 46244, 6, 104378, 1285, 4838, 164863, 80885, 70695, 5666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 52671, 54260, 96986, 4, 1285, 12023, 16932, 80885, 9585, 32572, 4, 1285, 17824, 4113, 1982, 80885, 45521, 38054, 139365, 109226, 5, 22753, 45521, 93509, 15231, 24621, 21295, 4, 6, 59919, 119718, 10705, 16747, 29060, 4, 6, 130734, 26, 29060, 95455, 163139, 40920, 18640, 80885, 199145, 3056, 2205, 20315, 2050, 14856, 110970, 149010, 1211, 6, 75290, 149364, 2200, 95455, 1751, 43178, 80885, 2200, 8009, 13845, 80885, 199145, 2205, 35189, 14856, 110970, 149010, 2442, 3523, 83586, 5, 7265, 9213, 46244, 6, 59919, 26, 2702, 2702, 26, 16932, 10213, 65606, 2442, 17310, 6, 59919, 119718, 710, 48904, 29060, 22753, 2200, 3069, 29659, 77188, 22753, 95455, 9424, 23173, 18415, 34072, 2865, 109316, 4, 95455, 6, 104985, 119718, 120467, 35189, 159696, 146873, 54745, 105330, 174121, 74806, 1644, 91595, 149010, 6235, 111684, 1644, 3120, 7508, 6093, 40026, 506, 119273, 89184, 23964, 141943, 2819, 7265, 10676, 564, 189623, 186797, 12483, 364, 75230, 4667, 3120, 9213, 46244, 7544, 146598, 12483, 2200, 60118, 54260, 119132, 874, 75230, 1644, 6, 59919, 109636, 80885, 2882, 22753, 95455, 74806, 1644, 91595, 2050, 28726, 1982, 12483, 9424, 119718, 40697, 1211, 7508, 54260, 55823, 2865, 114436, 2200, 32054, 75230, 12483, 2200, 4269, 90848, 47332, 130170, 2200, 6, 59919, 119718, 183512, 13845, 2882, 2205, 85596, 29025, 12483, 95455, 199145, 119055, 39083, 2882, 241997, 220224, 1211, 95455, 17288, 4944, 80885, 34076, 7682, 2205, 178766, 37016, 30473, 80885, 69106, 5, 29771, 75578, 3120, 119055, 48904, 12483, 107776, 22753, 4, 1285, 116486, 73215, 34079, 10918, 68558, 705, 22753, 1751, 57277, 63532, 69355, 4151, 364, 13159, 149010, 2442, 2200, 22518, 37016, 149010, 2442, 1470, 17310, 6093, 91595, 18640, 4484, 54260, 2882, 199145, 10213, 20840, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 506, 6093, 29659, 364, 54260, 13497, 13342, 97634, 2932, 95455, 17190, 1982, 12483, 2819, 22753, 119055, 92605, 16803, 2205, 10676, 6, 59919, 21066, 710, 40920, 12483, 220273, 96986, 3120, 3373, 29771, 10918, 21106, 6093, 1470, 75230, 2702, 1982, 75230, 2882, 17310, 4, 3120, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 4, 69355, 130170, 13982, 7682, 17310, 4, 3120, 21776, 119718, 39083, 15231, 25207, 152848, 4838, 75578, 21847, 75230, 1982, 172398, 2200, 3120, 24012, 35189, 161459, 130170, 159696, 2442, 7201, 17310, 3069, 1285, 182261, 93975, 6, 59919, 154289, 18415, 152848, 101251, 105235, 16747, 12483, 5, 22753, 29434, 23174, 2882, 4, 22753, 6319, 120749, 9213, 46685, 16175, 17645, 59919, 6, 23173, 54260, 1211, 2205, 178766, 17190, 1982, 12483, 2200, 67882, 40920, 6319, 48775, 20260, 178766, 364, 75230, 22426, 48253, 57277, 2050, 2819, 95298, 20033, 21923, 13159, 119055, 77188, 3069, 657, 54260, 20315, 1211, 2200, 22753, 3056, 1470, 54260, 23269, 3120, 1285, 10184, 109316, 6235, 15231, 49008, 7508, 6093, 48775, 30750, 199145, 10213, 3131, 226112, 23741, 194706, 56170, 178766, 34076, 54260, 4944, 154739, 15231, 2932, 4484, 54260, 2882, 3069, 10676, 114650, 105439, 3120, 63259, 7611, 2200, 17824, 75230, 235210, 4484, 54260, 2882, 2205, 119055, 13845, 4944, 12483, 20033, 119055, 21106, 61397, 12483, 7746, 5, 10069, 39293, 6235, 94741, 20260, 12483, 6, 104378, 123736, 42023, 178766, 163139, 1644, 12483, 2205, 18895, 4, 119055, 12483, 20033, 17190, 104149, 34654, 56170, 194706, 7243, 3523, 54260, 4113, 4, 95298, 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, 4113, 21776, 124740, 57277, 96986, 69355, 4151, 1470, 75230, 2702, 7201, 29766, 3131, 17310, 6, 159696, 8903, 1211, 137, 22426, 90848, 73215, 34079, 10918, 68558, 4838, 75386, 364, 183512, 13845, 2205, 35189, 43649, 142429, 2882, 82977, 6, 101328, 24152, 2004, 199145, 21923, 7369, 16629, 49008, 2205, 1470, 6, 229340, 3120, 50273, 29766, 50273, 24012, 1644, 141943, 2200, 21923, 3069, 45521, 38054, 48904, 165354, 10676, 137, 12890, 905, 90848, 3120, 3373, 29771, 10918, 21106, 6093, 11211, 46677, 142170, 2004, 6, 47351, 6, 48904, 29659, 186955, 22444, 81455, 119055, 13845, 104238, 234917, 7508, 54260, 107581, 84087, 84577, 2442, 137377, 12483, 160751, 12483, 98252, 3069, 4151, 6235, 39293, 1644, 95494, 23741, 4838, 19302, 54260, 119132, 16175, 54260, 1644, 3120, 10069, 6, 59919, 24621, 8903, 16667, 199145, 220224, 151614, 1982, 12483, 6235, 101296, 40920, 37729, 4151, 3373, 29771, 10918, 21106, 6093, 2190, 50856, 61397, 91595, 18640, 4484, 54260, 2882, 2200, 37729, 119055, 13845, 104238, 1285, 39293, 1644, 30750, 137, 2702, 29771, 10918, 21106, 4113, 11211, 46677, 23269, 155, 905, 77188, 166464, 18415, 2932, 32792, 45521, 55451, 50856, 54260, 110317, 2882, 5, 10069, 364, 75230, 22426, 2882, 15231, 109636, 1211, 3120, 116486, 73215, 34079, 10918, 171433, 36419, 35596, 25207, 1211, 2205, 4838, 46685, 7682, 165592, 171428, 152, 48494, 203232, 6, 225975, 43178, 84577, 4113, 137, 22426, 23173, 1644, 29766, 506, 75230, 1211, 155, 84475, 191795, 38054, 13845, 4, 95455, 364, 75230, 4852, 144754, 137, 24621, 17160, 9221, 18415, 21422, 46685, 2004, 95455, 137, 22426, 90848, 73215, 2882, 92866, 24001, 124873, 64260, 13845, 155, 2200, 7508, 6093, 37271, 2865, 59929, 165592, 3131, 155, 22426, 23173, 1644, 29766, 5, 1285, 564, 174798, 54260, 1982, 17310, 3120, 1285, 39293, 7369, 16932, 3056, 1470, 54260, 5666, 7201, 26612, 4667, 92500, 81444, 4667, 67882, 40920, 22753, 230764, 10676, 17190, 168155, 4838, 22518, 37016, 149010, 1211, 4, 64915, 32572, 26, 196332, 1211, 2808, 54260, 16747, 55049, 5, 6, 64260, 2205, 4838, 116486, 30750, 152, 137, 26612, 17824, 75230, 36419, 364, 15350, 89930, 23269, 564, 167622, 43649, 20616, 2882, 1982, 54260, 4151, 119055, 183512, 3120, 10676, 1470, 75230, 7201, 76776, 36258, 2702, 21106, 68558, 15, 22426, 23173, 1644, 29766, 194, 1285, 78278, 23269, 2702, 68313, 2205, 99509, 12483, 6, 240863, 5, 1285, 27702, 20260, 3056, 99509, 7265, 65902, 35596, 12483, 4, 119055, 13845, 107581, 22753, 26394, 1211, 141847, 3069, 235210, 43178, 8903, 80453, 119273, 1470, 54260, 59461, 17190, 1982, 12483, 10676, 221895, 1211, 4, 6, 159696, 46244, 141943, 87680, 4, 7243, 151614, 1982, 186797, 119055, 10705, 3069, 22753, 26394, 1211, 4, 7038, 104149, 6, 105235, 42023, 5, 564, 54260, 1285, 6, 131445, 69355, 1285, 6, 186145, 22426, 199145, 10184, 46244, 12483, 3069, 1285, 137, 31249, 29771, 6293, 155, 10918, 46685, 15, 30750, 13982, 905, 36258, 16, 3120, 20315, 2050, 17288, 104238, 12483, 43649, 218241, 43649, 20616, 2882, 4838, 6, 133111, 5, 4838, 177274, 2702, 874, 39083, 119055, 12483, 4838, 4269, 59929, 158652, 177148, 4838, 90848, 1982, 4, 22518, 54260, 2882, 4151, 81444, 4852, 161459, 132025, 2932, 105235, 1644, 16932, 7265, 4838, 241304, 2702, 195164, 93975, 1211, 2200, 43649, 23173, 165354, 52059, 152, 23050, 152194, 711, 292, 9934, 29771, 7201, 99766, 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 ]
[ 47332, 7746, 230764, 35189, 4231, 76632, 61397, 6, 119859, 16803, 199145, 22753, 56169, 230764, 4151, 564, 167622, 44917, 76216, 216510, 3069, 1285, 22426, 90848, 73215, 34079, 10918, 68558, 129697, 186145, 22426, 4, 2200, 7369, 6235, 506, 2882, 6, 23173, 75230, 6293, 2819, 2205, 54745, 2865, 39293, 22849, 12483, 1470, 75230, 8903, 5666, 181615, 22444, 165354, 4852, 18167, 76961, 40653, 93975, 205814, 3120, 4151, 564, 167622, 3069, 3069, 1285, 6, 186145, 22426, 2200, 1470, 54260, 59461, 69355, 1285, 6, 105235, 189623, 196332, 55242, 56169, 7746, 230764, 10676, 17190, 196332, 1211, 1751, 46545, 13845, 170791, 2909, 2451, 2205, 1470, 54260, 1211, 6, 99766, 21923, 2205, 4838, 364, 54260, 2702, 12483, 135289, 97634, 2932, 6235, 159696, 1211, 6, 71041, 119166, 20315, 1211, 2819, 17645, 20315, 3120, 1285, 101251, 21847, 7682, 149010, 116486, 73215, 34079, 185758, 18415, 37826, 6235, 506, 40096, 9213, 46244, 20585, 5, 20315, 2050, 23050, 1982, 80885, 1211, 166464, 204982, 18225, 40653, 10676, 31807, 20305, 10676, 75773, 152, 1982, 120467, 16932, 37826, 10213, 10069, 35596, 496, 4, 564, 54260, 12890, 30284, 1751, 23173, 1644, 64260, 24645, 6, 94741, 7972, 496, 92500, 36324, 75230, 6, 238144, 16932, 5, 95298, 4151, 137, 1982, 120467, 155, 119055, 77188, 564, 54260, 4852, 152, 7243, 76961, 2865, 54260, 2648, 44779, 151614, 1982, 12483, 137, 8903, 20961, 1982, 54260, 2882, 2909, 18225, 64769, 48253, 69127, 176727, 220224, 152, 220224, 151614, 1982, 12483, 7511, 2882, 241997, 4, 220224, 21923, 6235, 159696, 1211, 3069, 127461, 3120, 10676, 40026, 506, 6093, 196332, 1211, 166464, 2200, 13159, 3056, 215031, 1751, 159696, 25207, 364, 45631, 5, 95298, 95455, 21923, 42493, 6319, 54260, 23269, 6235, 7511, 8903, 152848, 4775, 143712, 56170, 10676, 1470, 54260, 8903, 50778, 46685, 5, 7369, 119055, 23173, 23741, 10676, 241304, 2702, 111684, 2442, 6093, 4838, 4269, 212484, 2205, 6319, 137377, 152, 137, 51723, 6, 94741, 63020, 7243, 6, 59919, 76776, 10813, 13159, 93975, 1211, 95455, 241304, 2819, 1470, 75230, 1982, 1470, 54260, 23269, 42542, 42493, 19532, 1982, 54260, 96986, 4, 65146, 18225, 46050, 8903, 1211, 6, 47351, 221895, 199145, 42542, 6, 101328, 2909, 95766, 190, 6873, 32887, 23269, 96302, 364, 54260, 168155, 3120, 186383, 29060, 12483, 4, 6, 71577, 57277, 2884, 37826, 18225, 8903, 17268, 49008, 534, 12825, 116486, 40920, 15907, 905, 10918, 171433, 150349, 28726, 89930, 5, 2205, 45521, 112593, 23173, 62977, 6, 168155, 49008, 6235, 159696, 1211, 10213, 36326, 23741, 176727, 4, 17190, 1982, 12483, 221895, 4, 201, 2588, 874, 54260, 2648, 44779, 130170, 611, 101328, 46244, 5, 18225, 37826, 6235, 17268, 49008, 19302, 54260, 23269, 114955, 46440, 186797, 7746, 17190, 1982, 12483, 1285, 6093, 16932, 119055, 10705, 116486, 73215, 34079, 185758, 18415, 151614, 1982, 12483, 1470, 75230, 2702, 8903, 14004, 47332, 220224, 6093, 137, 17017, 29771, 14325, 2909, 10069, 6, 57277, 42021, 21106, 12483, 2200, 6, 57277, 69106, 113687, 12483, 21923, 123736, 23741, 4151, 67882, 24152, 119055, 10705, 10069, 116486, 73215, 2882, 92866, 24001, 16667, 26612, 2932, 35596, 12483, 8248, 4944, 12483, 1470, 75230, 2702, 220224, 123073, 30109, 79174, 2819, 1285, 39293, 26612, 2932, 35596, 12483, 21923, 123736, 23741, 1751, 12483, 6235, 21733, 54260, 20315, 18415, 874, 114436, 4, 7265, 10339, 54260, 23269, 874, 48904, 9221, 12483, 2819 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4852, 54260, 3069, 2882, 54260, 1644, 12483, 6658, 9134, 2200, 7369, 21733, 6093, 12483, 657, 17645, 30750, 3069, 1285, 874, 54260, 2648, 44779, 199145, 51678, 657, 54260, 4944, 16932, 123736, 1982, 8903, 76776, 33716, 119055, 6093, 12483, 2819, 220224, 6, 59919, 7201, 39083, 8903, 1211, 1470, 75230, 4667, 1285, 221895, 4, 10069, 1751, 159696, 2442, 123073, 3069, 7369, 29771, 75578, 1211, 4, 7243, 6, 57277, 57619, 186797, 7265, 220224, 2200, 220224, 220273, 219947, 1751, 135118, 186797, 4, 78278, 220224, 46050, 8903, 1211, 220224, 2205, 23050, 7611, 6, 23173, 54260, 1211, 5, 13159, 119055, 6093, 12483, 6235, 5666, 75230, 564, 174798, 16011, 12483, 1285, 241304, 35044, 54260, 18415, 199145, 364, 183512, 1644, 12483, 144754, 32054, 75230, 12483, 230764, 4838, 17824, 75230, 2702, 12483, 874, 59929, 3131, 57277, 1982, 4, 220224, 123073, 45521, 111996, 16747, 109226, 2205, 203387, 43649, 16870, 2882, 2200, 657, 192539, 4, 220224, 6093, 17824, 75230, 101608, 9424, 216510, 2205, 82977, 6, 101328, 24152, 5, 2808, 54260, 59461, 3120, 220224, 4, 4151, 137, 145146, 2004, 10213, 30473, 56169, 895, 6293, 17824, 75230, 36419, 137, 506, 54260, 4852, 44779, 155, 2200, 506, 64260, 4838, 17824, 75230, 2702, 12483, 1470, 54260, 5666, 21066, 24244, 564, 54260, 4151, 117902, 1644, 31623, 54260, 5, 95766, 4151, 43649, 142429, 97634, 47332, 54260, 1644, 17310, 67882, 5927, 29060, 12483, 3120, 82977, 6, 101328, 24152, 21923, 2808, 88680, 8903, 26394, 506, 21295, 6235, 119718, 29766, 12483, 63902, 4046, 116486, 73215, 34079, 185758, 18415, 2205, 4151, 9424, 54260, 2882, 108837, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 69355, 4151, 130170, 119718, 4944, 17310, 2819, 95298, 7243, 76961, 162726, 21660, 6093, 21923, 130170, 46464, 40920, 6235, 119718, 29766, 12483, 5, 2808, 75230, 1982, 18225, 21776, 4944, 35596, 36324, 177274, 2702, 3120, 1285, 874, 54260, 2648, 44779, 137, 30750, 10069, 35596, 155, 2205, 144754, 13845, 209, 119166, 20315, 1211, 4838, 166464, 4, 6235, 506, 12483, 119055, 26612, 506, 93509, 54260, 5666, 32792, 3069, 116486, 73215, 34079, 185758, 18415, 159696, 110317, 80885, 66293, 2445, 4, 19236, 874, 114436, 193012, 32792, 2205, 186383, 29060, 12483, 5, 119718, 120467, 6, 48904, 30750, 143409, 2882, 95455, 6, 59919, 10069, 172398, 2882, 3120, 1285, 1470, 54260, 8903, 50778, 46685, 4, 42542, 51723, 7746, 4151, 69355, 67882, 4944, 12483, 4838, 10213, 68566, 6293, 119055, 12483, 18225, 7369, 7201, 26612, 506, 33716, 36324, 29434, 54260, 2702, 92290, 54260, 4852, 44779, 2205, 119055, 13845, 107581, 7508, 6093, 6, 80453, 54260, 4852, 3056, 1470, 54260, 1211, 81444, 1644, 23173, 151614, 1982, 12483, 4838, 6, 77820, 2442, 32792, 2808, 54260, 5666, 88660, 51723, 3120, 6, 159696, 110317, 80885, 16667, 9424, 238144, 6, 123559, 68558, 81444, 1644, 23173, 7243, 21776, 4944, 43178, 186797, 20315, 2050, 116486, 7916, 2882, 199145, 107776, 6, 23173, 54260, 1211, 3120, 6235, 23822, 135118, 4, 6, 57277, 1982, 92605, 4, 3120, 10676, 59919, 4484, 75230, 55823, 1211, 19302, 54260, 35189, 3069, 1285, 874, 54260, 2648, 44779, 4, 3120, 81414, 20260, 195054, 35189, 4, 6, 80453, 48350, 35596, 12483, 29060, 8300, 5, 35189, 10213, 120749, 6, 65606, 33716, 1470, 75230, 4667, 6, 68558, 4, 95298, 55242, 46244, 1470, 75230, 75578, 21066, 4113, 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 ]
[ 32792, 2200, 144754, 4838, 6, 56052, 6, 35596, 3111, 1644, 158548, 17310, 4, 1285, 6, 90848, 28726, 199145, 1285, 117902, 1644, 31623, 54260, 145813, 17645, 21295, 2205, 35189, 45521, 93509, 80453, 54260, 2882, 17310, 3120, 4151, 116486, 73215, 34079, 10918, 68558, 5, 103854, 6235, 5666, 75230, 4113, 130170, 119718, 4944, 109226, 4, 4151, 21776, 124740, 2882, 40096, 3120, 119055, 13845, 107581, 8947, 159696, 33716, 40653, 8903, 8903, 1982, 12483, 2205, 10676, 6, 229340, 4, 37826, 18225, 6235, 17268, 49008, 36324, 2510, 116486, 29025, 35596, 15, 69355, 6, 195807, 130170, 119718, 4944, 18415, 16, 151614, 1982, 12483, 6235, 506, 40096, 6, 47351, 6, 48904, 105235, 39340, 152848, 6235, 15350, 91595, 2050, 25616, 48904, 15307, 54260, 2882, 2819, 2190, 1285, 21923, 76961, 6235, 159696, 1211, 132025, 7201, 141847, 89184, 49008, 2819, 69355, 10676, 42542, 18225, 6, 59919, 105235, 42023, 36324, 119055, 12483, 1285, 116486, 73215, 34079, 185758, 18415, 137, 20961, 1982, 54260, 96986, 155, 4838, 203326, 13845, 657, 141847, 6093, 4, 21923, 805, 116486, 8300, 35596, 3120, 220224, 132025, 8903, 105235, 20911, 5, 2865, 48904, 107581, 364, 54260, 4852, 44779, 151614, 1982, 12483, 4838, 81444, 20911, 29766, 199145, 107776, 130170, 46464, 4944, 12483, 12415, 874, 54260, 2648, 44779, 2819, 95298, 220224, 1211, 130170, 4852, 18340, 17310, 3056, 6, 47351, 1470, 75230, 75578, 21066, 4113, 10813, 710, 30750, 92500, 4838, 55242, 46244, 9915, 109316, 5, 26612, 203326, 13845, 17190, 506, 136108, 54260, 30750, 48706, 40096, 710, 175483, 5, 292, 3120, 190, 84701, 112216, 10918, 35596, 12483, 119718, 120467, 21923, 10213, 506, 183512, 13845, 2882, 6235, 119718, 29766, 12483, 6, 159696, 8903, 1211, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 4, 506, 64260, 18225, 6235, 17268, 49008, 152, 874, 114436, 4, 361, 11648, 9424, 119718, 40697, 1211, 611, 2200, 387, 6, 101328, 46244, 4, 1662, 12012, 9424, 119718, 40697, 1211, 952, 2200, 714, 6, 101328, 46244, 4, 11937, 304, 9424, 119718, 40697, 1211, 1381, 2200, 496, 6, 101328, 46244, 2819, 22680, 75230, 12483, 4, 138, 11648, 9424, 119718, 40697, 1211, 611, 2200, 387, 6, 101328, 46244, 4, 6, 152463, 9424, 119718, 40697, 1211, 952, 2200, 2588, 6, 101328, 46244, 4, 1381, 1019, 9424, 119718, 40697, 1211, 1381, 2200, 496, 6, 101328, 46244, 5, 182261, 4, 199145, 6, 48904, 69801, 48904, 98833, 20315, 2050, 21422, 119718, 15350, 29659, 183512, 21923, 3120, 1285, 1470, 75230, 12890, 8903, 112216, 10918, 35596, 12483, 6235, 159696, 1211, 874, 114436, 4, 44478, 93975, 112311, 4, 45521, 17800, 54260, 45629, 18415, 18415, 1702, 2525, 4, 5950, 159390, 12661, 2819, 32054, 75230, 12483, 44478, 93975, 6, 192531, 4, 45521, 17800, 54260, 2442, 174121, 2248, 304, 4, 5950, 83811, 2510, 5, 69355, 71725, 130170, 46464, 4944, 18415, 137, 22426, 23173, 1644, 29766, 364, 54260, 168155, 155, 21923, 387, 6235, 159696, 1211, 836, 22426, 90848, 73215, 34079, 10918, 68558, 48636, 2702, 35596, 93975, 4, 2248, 1470, 54260, 1211, 2648, 39083, 23173, 196332, 4, 305, 9424, 238144, 2648, 39083, 23173, 196332, 2200, 4442, 219044, 6293, 92500, 6, 26394, 42023, 2648, 39083, 23173, 196332, 5, 95298, 1285, 116486, 22426, 29766, 42180, 3120, 30109, 48904, 15307, 54260, 96986, 68313, 7243, 19302, 114436, 2205, 1285, 137, 1982, 13159, 123073 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 155, 163139, 2205, 1285, 12023, 186461, 123073, 364, 54260, 4852, 44779, 5, 2808, 54260, 1211, 45521, 506, 44478, 3056, 56170, 47351, 2205, 6, 144295, 104149, 6, 229340, 2200, 4151, 8580, 4151, 4484, 35596, 51723, 36324, 8947, 10498, 87442, 7265, 6319, 71577, 15907, 21106, 34533, 152185, 84087, 84577, 2442, 137377, 710, 152, 8947, 46464, 40920, 1470, 54260, 5666, 72631, 16870, 12483, 10676, 71107, 36324, 1285, 34482, 170355, 107581, 3120, 4151, 116486, 73215, 34079, 10918, 68558, 3056, 7243, 6319, 54260, 1211, 3373, 29771, 10918, 21106, 4113, 4, 36324, 22753, 37826, 42493, 36324, 75230, 3069, 6, 80264, 7265, 26, 1211, 31249, 91595, 12483, 5332, 88660, 113889, 123103, 12483, 3069, 29659, 183512, 3120, 4151, 32054, 75230, 199145, 45521, 24152, 75230, 23741, 4852, 18167, 2200, 3120, 10676, 6, 212915, 199145, 6319, 75230, 23741, 22753, 4, 163139, 7265, 4151, 4838, 68697, 54260, 2882, 3120, 1285, 22426, 90848, 73215, 2882, 92866, 24001, 16667, 37271, 41643, 506, 16847, 2004, 199145, 364, 21106, 96986, 230764, 2200, 45521, 93509, 80453, 54260, 96986, 4484, 171127, 32792, 10676, 364, 183512, 13845, 5, 38, 1470, 215558, 5, 7508, 5, 3523, 5, 163139, 1644, 75386, 68558, 3120, 84087, 93704, 13845, 7916, 2808, 3373, 37016, 25207, 16932, 3120, 4151, 37271, 75322, 89184, 78683, 59461, 45521, 35189, 26612, 10918, 68558, 3120, 73095, 13805, 87637, 46677, 23269, 2004, 37826, 10213, 119718, 710, 104149, 36324, 95766, 1285, 6, 59919, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 21923, 43649, 186797, 56170, 47351, 6, 159696, 110317, 80885, 16667, 9508, 4, 758, 2839, 6, 73381, 35596, 149010, 116486, 73215, 34079, 185758, 18415, 4, 2200, 76961, 119055, 6093, 12483, 132025, 8903, 105235, 20911, 24621, 46244, 123073, 874, 39083, 7265, 119055, 114436, 40697, 30109, 48904, 15307, 54260, 96986, 5, 874, 114436, 160751, 12483, 1470, 75230, 96743, 75230, 6293, 220224, 44917, 76216, 35596, 3120, 2668, 6, 123559, 68558, 81444, 1644, 23173, 4838, 6, 101328, 46244, 5, 1470, 75230, 101608, 20315, 2050, 4852, 171428, 56170, 47351, 6, 159696, 110317, 80885, 16667, 3069, 29434, 54260, 10213, 506, 186955, 65482, 116486, 73215, 34079, 2808, 54196, 73381, 23173, 148932, 5332, 55823, 177282, 88680, 4, 95455, 364, 54260, 16803, 6, 159696, 110317, 80885, 16667, 2445, 4, 910, 1197, 4, 418, 10213, 506, 186955, 65482, 116486, 73215, 34079, 185758, 18415, 4, 119055, 13845, 107581, 6, 59919, 10069, 171428, 1470, 75230, 4667, 6, 23173, 88680, 4082, 123559, 68558, 81444, 1644, 23173, 4838, 6, 101328, 46244, 5, 3373, 26, 95766, 119055, 20961, 3131, 54260, 5666, 32792, 36324, 20033, 160751, 12483, 1470, 75230, 2702, 24621, 46244, 163139, 17287, 6, 123559, 68558, 81444, 1644, 23173, 4838, 6, 101328, 46244, 56170, 116486, 73215, 34079, 185758, 18415, 2200, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 4, 7243, 21776, 4944, 43178, 186797, 1285, 46654, 4113, 8903, 3120, 1285, 34072, 152848, 4, 4269, 54260, 80885, 131002, 48904, 39340, 2200, 6, 195054, 20616, 188201, 4, 199145, 6, 104378, 3120, 1285, 39293, 70695, 5666, 52671, 54260, 96986, 5, 20033, 145813, 141943, 12483, 177274, 2702, 6, 101328, 46244, 3576, 6, 123559, 68558, 81444, 1644, 23173, 56170, 25222, 160687, 8903, 4, 6, 21106, 88660, 506, 39083, 40697, 6235, 23822, 135118, 4113, 2200, 28797, 6, 123559, 68558, 56170, 6, 57277, 1982, 92605, 4, 159696 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1644, 107581, 21923, 137, 10069, 32054, 54260, 16747, 3120, 116486, 73215, 34079, 10918, 68558, 2909, 2808, 1470, 1470, 95766, 70351, 37826, 7746, 1285, 4269, 48904, 26394, 6, 75322, 89184, 78683, 59461, 41764, 25207, 36419, 4, 1285, 6, 73381, 35596, 149010, 874, 54260, 3111, 23405, 4, 163139, 1470, 75230, 4667, 1285, 21776, 2932, 9221, 17310, 3120, 234917, 1751, 57277, 2808, 96986, 3120, 10676, 212394, 10213, 36326, 23741, 176727, 7265, 4151, 10339, 48775, 8903, 3120, 116486, 73215, 34079, 10918, 68558, 5, 1285, 21776, 7201, 29766, 51723, 199145, 18225, 119055, 29060, 23165, 1470, 54260, 5666, 111684, 25207, 1211, 119055, 109316, 1211, 162926, 7243, 14856, 46244, 109589, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 506, 13845, 55823, 1211, 137, 119718, 710, 4838, 16175, 75230, 96986, 27702, 20260, 13159, 2004, 6, 238144, 1644, 220224, 119055, 109316, 1211, 81444, 4667, 43449, 75230, 4852, 220224, 1211, 27, 25207, 7201, 29766, 51723, 4, 6, 238144, 1644, 220224, 119055, 109316, 1211, 6319, 54260, 1211, 9721, 37016, 109316, 7243, 564, 54260, 226112, 8903, 1211, 3069, 4151, 59919, 7511, 40920, 17310, 3120, 1285, 34482, 170355, 4944, 12483, 199145, 6, 199511, 3069, 4151, 6, 87311, 35189, 59461, 160238, 2050, 69355, 116486, 73215, 34079, 10918, 68558, 5, 220224, 119055, 109316, 1211, 7243, 4838, 159696, 4484, 101470, 1285, 16175, 17645, 55823, 3373, 29771, 10918, 21106, 4113, 34482, 170355, 4944, 12483, 7265, 119055, 13845, 107581, 22753, 3056, 10339, 139365, 88917, 12483, 2819, 220224, 119055, 109316, 1211, 7243, 8903, 1982, 12483, 76961, 32054, 75230, 12483, 1285, 6235, 28726, 8903, 5927, 54260, 2882, 3069, 6, 59919, 10069, 49008, 230764, 76961, 2702, 199145, 4852, 54260, 6428, 23173, 55823, 1211, 2819, 220224, 119055, 109316, 1211, 7243, 67882, 4944, 12483, 1285, 32054, 75230, 67882, 16932, 710, 13845, 2190, 22492, 25559, 141847, 18640, 3120, 10676, 6, 212915, 2819, 220224, 119055, 109316, 1211, 7243, 1470, 75230, 42410, 44478, 12483, 1285, 32054, 75230, 12483, 2819, 4852, 54260, 119055, 109316, 1211, 7243, 6, 192539, 12483, 1285, 24012, 13982, 93975, 874, 29766, 21106, 199145, 49920, 29659, 6, 159696, 8903, 1211, 23269, 31249, 91595, 2702, 28726, 1982, 12483, 4, 6, 159696, 8903, 1211, 364, 54260, 2442, 40096, 2200, 6, 159696, 8903, 1211, 4151, 10339, 26612, 123559, 4113, 5, 1285, 2648, 29771, 30473, 8903, 21776, 7201, 29766, 51723, 119055, 109316, 1211, 1470, 75230, 4667, 7243, 160751, 12483, 10676, 6, 212915, 1285, 14856, 97594, 4944, 4484, 54260, 2882, 3069, 364, 54260, 45629, 96986, 119055, 12483, 7369, 3056, 7508, 54260, 6293, 4, 220224, 119055, 109316, 1211, 1470, 30682, 7243, 6, 199511, 6319, 54260, 1211, 3944, 40920, 6, 159696, 8903, 1211, 1285, 74806, 1644, 91595, 149010, 10213, 32670, 109226, 2200, 6, 159696, 8903, 1211, 1285, 36419, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 5, 29771, 75578, 3523, 31623, 32792, 4, 55242, 46244, 3523, 31623, 32792, 21923, 4151, 238144, 1644, 1285, 21776, 124740, 96256, 96986, 69355, 1285, 130170, 46464, 4944, 109226, 199145, 21923, 6235, 101296, 40920, 6235, 119718, 29766, 12483, 4, 6, 238144, 1644, 220224, 8300, 54260, 8903, 1211, 7243, 6, 104985, 194706, 4, 7243, 6, 104985, 1285, 6, 48775, 103023, 21106, 4113, 14856, 110970, 12483, 199145, 6, 238144, 2702, 12483, 13159, 1751, 75230, 1211, 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, 71804, 23405, 4, 95298, 1470, 75230, 4667, 1285, 221895, 4, 1285, 34072, 152848, 199145, 34076, 75230, 1982, 12483, 95766, 4151, 6, 61397, 91595, 18640, 4484, 54260, 2882, 3120, 4151, 364, 54260, 13497, 161459, 123736, 38054, 3111, 23405, 4, 6150, 1470, 54260, 23269, 3120, 10069, 364, 75230, 22426, 2882, 63864, 170355, 4944, 12483, 3120, 116486, 73215, 34079, 10918, 68558, 3056, 1285, 5332, 88660, 113889, 2865, 40697, 6, 71804, 8903, 69355, 4151, 32054, 75230, 5, 1285, 130170, 46464, 4944, 17310, 3056, 36324, 75230, 3523, 31623, 32792, 163139, 8947, 3056, 6, 75322, 39083, 119718, 710, 40920, 18640, 3069, 6, 59919, 78683, 153222, 1211, 1285, 6, 23173, 69801, 2200, 1470, 75230, 7201, 72631, 5594, 25207, 1211, 10676, 67826, 20260, 141943, 12483, 63259, 7611, 199145, 37826, 7746, 132025, 8903, 235210, 13845, 2882, 7369, 8903, 7611, 2205, 4838, 163139, 20260, 13845, 69355, 4838, 364, 75230, 6293, 5, 6, 64260, 21923, 4838, 117902, 2442, 564, 54260, 3131, 22426, 710, 109316, 3120, 10339, 129071, 12483, 199145, 151614, 1982, 12483, 7746, 6, 23173, 75230, 2702, 2932, 21660, 54260, 13497, 564, 54260, 4151, 6235, 28726, 8903, 5927, 54260, 2882, 3120, 4151, 123736, 7916, 42180, 44478, 10705, 13497, 6093, 119718, 4944, 17310, 2702, 88660, 189098, 710, 68558, 3120, 7213, 78683, 113889, 152, 10069, 224220, 710, 21087, 68558, 37826, 1470, 75230, 2702, 8903, 506, 77188, 64699, 76961, 1285, 199145, 151614, 1982, 12483, 3131, 54260, 14540, 3069, 4151, 116486, 73215, 34079, 10918, 68558, 152, 116486, 73215, 34079, 185758, 18415, 4, 4838, 68697, 54260, 16932, 2865, 54260, 2648, 44779, 4, 43393, 10954, 448, 3120, 17824, 75230, 36419, 83066, 51723, 119055, 10705, 1285, 4838, 68697, 54260, 16932, 874, 54260, 2648, 44779, 21923, 132025, 190135, 5, 4151, 9424, 159696, 4484, 3120, 4151, 130170, 46464, 4944, 17310, 3056, 8903, 159696, 1211, 3069, 6235, 7916, 49008, 4838, 6, 147713, 21106, 12483, 17824, 88917, 9747, 3069, 9424, 119718, 710, 183216, 1285, 43393, 13780, 609, 448, 103854, 4838, 6235, 39293, 7611, 4, 1285, 32054, 75230, 12483, 3069, 9424, 29771, 54574, 12483, 7243, 119055, 76632, 61397, 163139, 4838, 6235, 119718, 21292, 12483, 160059, 2865, 21106, 12483, 4838, 68697, 54260, 2882, 35044, 75230, 42023, 2819, 1285, 10339, 39083, 23269, 3120, 215031, 6235, 39293, 7611, 4, 6428, 135118, 12483, 22426, 90848, 73215, 34079, 10918, 68558, 63652, 10069, 21776, 7201, 29766, 101296, 205416, 12483, 4, 119055, 29060, 220224, 1211, 4838, 45521, 155045, 83182, 17310, 3120, 4151, 9424, 29771, 54574, 116486, 73215, 34079, 185758, 18415, 5, 26612, 3373, 4667, 116486, 73215, 34079, 185758, 18415, 151614, 1982, 12483, 4151, 224220, 710, 21087, 68558, 4151, 26394, 506, 21295, 36324, 4852, 54260, 21923, 4838, 90848, 1982, 8903, 7201, 21106, 12483, 43449, 75230, 4852, 4151, 7201, 23173, 6, 238144, 1644, 4838, 75386, 19532, 1982, 54260, 16932, 710, 49008, 506, 64260, 18225, 220224, 36324, 75230, 6, 159696, 110317, 6235, 36723, 76216, 21295, 36324, 220224, 151614, 1982, 12483, 4151, 69355, 7243, 8903, 4484, 35596, 17190, 1982, 12483, 5, 874, 48904, 107581, 3120, 1285, 6, 123559, 239162, 32206, 39340, 43393, 13780, 609, 448, 199145, 4852, 171428, 7508, 54260, 4667, 6235, 119718, 29766, 12483, 3120, 4838, 68697, 54260, 16932, 874, 54260, 2648, 44779, 151614, 1982, 12483, 7746, 6235, 119718, 10705, 83182, 2882, 36324, 18225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 45521, 111996, 16747, 29060, 1285, 116486, 73215, 34079, 10918, 68558, 7265, 10676, 3523, 9221, 215206, 12483, 2702, 21106, 23173, 710, 2819, 874, 48904, 107581, 151614, 1982, 12483, 3069, 8903, 8903, 1982, 12483, 36324, 220224, 119055, 39083, 96986, 657, 54260, 40920, 241997, 45521, 48974, 25207, 101608, 12483, 1285, 193042, 71804, 12415, 4, 6, 104985, 137, 46598, 3056, 7243, 6, 80453, 129071, 13456, 2909, 2808, 54260, 1211, 107189, 101328, 59461, 37826, 6235, 225975, 2882, 36324, 4838, 874, 54260, 20315, 1644, 42542, 17190, 1982, 12483, 7265, 26612, 40920, 81444, 1644, 23173, 4838, 119055, 29771, 4667, 2819, 37826, 18225, 1470, 30682, 6235, 22680, 4113, 98833, 1470, 75230, 1982, 7369, 17190, 47332, 144754, 215031, 45495, 24621, 5, 6, 47351, 221895, 2442, 107189, 101328, 59461, 37826, 6235, 8300, 54260, 98833, 36324, 220224, 1211, 83066, 101296, 37826, 2205, 6, 101328, 46244, 62977, 6, 59919, 12415, 35596, 9424, 159696, 108968, 6, 123559, 68558, 81444, 1644, 23173, 2819, 119055, 12483, 51723, 37826, 95298, 6, 61397, 25046, 12483, 1470, 54260, 23269, 3120, 1285, 564, 54260, 1470, 30682, 132025, 190135, 4113, 22680, 75230, 12483, 4, 37826, 22753, 6235, 8300, 54260, 98833, 2205, 199145, 56170, 6, 47351, 6, 29766, 141564, 54260, 2882, 22753, 37826, 6235, 28726, 47332, 7265, 1285, 190, 81444, 1644, 23173, 4838, 119055, 29771, 4667, 199145, 18225, 37826, 9213, 46244, 6235, 36723, 76216, 21295, 5, 10069, 1751, 159696, 25207, 4838, 68697, 54260, 2882, 4, 1285, 2190, 5666, 190386, 710, 4944, 4484, 54260, 2882, 7746, 3069, 6319, 75230, 55823, 1211, 6, 48904, 29659, 186797, 4113, 19302, 54260, 35189, 4, 95455, 620, 91595, 4113, 8947, 12483, 4, 1285, 7544, 39293, 48775, 130929, 10213, 506, 183512, 1644, 17310, 564, 54260, 35189, 4838, 68697, 54260, 2882, 27, 4838, 67882, 24621, 6, 47351, 5950, 58082, 2200, 4838, 1470, 23174, 123073, 1751, 159696, 82576, 144754, 10676, 6235, 119425, 1470, 75230, 2702, 13342, 506, 21106, 96986, 27, 10069, 224220, 710, 21087, 68558, 129165, 98833, 1470, 54260, 1211, 107189, 101328, 59461, 163139, 7916, 13845, 7369, 119055, 29060, 7038, 104149, 37271, 13342, 147713, 12483, 155, 119055, 12483, 7369, 170479, 9424, 29771, 54574, 12483, 220224, 23269, 19532, 1982, 54260, 16932, 100810, 4838, 6, 236749, 3120, 1019, 81444, 1644, 23173, 6, 159696, 4944, 35596, 32792, 5, 137, 966, 29213, 81444, 1644, 23173, 4838, 6, 101328, 46244, 2004, 6, 35596, 59919, 2882, 7369, 5, 2451, 137, 92500, 163139, 7916, 13845, 116486, 7916, 2882, 37826, 9213, 46244, 4838, 6, 101328, 46244, 6, 24846, 292, 137, 95766, 141879, 1211, 101328, 46244, 3056, 4151, 116486, 7916, 2882, 6235, 159696, 1211, 2445, 4, 966, 1197, 4, 304, 81444, 1644, 23173, 2909, 268, 10114, 1470, 26612, 32054, 48904, 8300, 75230, 4852, 152185, 6, 23173, 56169, 4, 29434, 5, 186046, 12483, 10069, 3131, 40096, 109316, 4, 37826, 56170, 6, 29060, 7972, 30750, 6, 101328, 46244, 130170, 46464, 40920, 564, 54260, 19692, 116486, 73215, 34079, 185758, 18415, 1285, 34482, 170355, 4944, 12483, 119718, 120467, 151614, 1982, 12483, 220224, 160751, 48775, 40920, 3069, 220224, 6093, 3069, 29659, 183512, 5, 7369, 37826, 1470, 75230, 2702, 8903, 17268, 49008, 36324, 152, 616, 2839, 21923, 4151, 13342, 6, 130991, 37729, 7243, 151614, 1982, 12483, 7265, 119718, 120467, 3069, 17190, 1982, 12483, 2819, 427, 2525, 21923 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 225975, 20961, 6235, 159696, 1211, 2205, 165592, 26612, 6, 71804, 8903, 36324, 220224, 85465, 200117, 12483, 6235, 192575, 2882, 119055, 6093, 12483, 116486, 73215, 34079, 185758, 18415, 4, 119055, 12483, 7243, 119055, 39083, 96986, 220224, 77344, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 8903, 159696, 1211, 74806, 205416, 1982, 12483, 56170, 364, 17310, 6093, 2819, 496, 4, 9747, 1470, 75230, 7201, 13342, 506, 21106, 96986, 1470, 54260, 24621, 6, 21106, 18415, 895, 16932, 12483, 2819, 59404, 4, 6, 238144, 1644, 220224, 123073, 657, 17645, 25559, 29771, 75578, 151614, 1982, 12483, 220224, 59919, 212484, 12483, 2819, 4082, 21923, 6, 59919, 111684, 33716, 6235, 119718, 29766, 12483, 3120, 123736, 7916, 138194, 12483, 2200, 2702, 39083, 94741, 96986, 2819, 1781, 21923, 6, 59919, 212484, 12483, 6235, 119718, 29766, 12483, 220224, 186797, 1751, 119718, 48904, 61397, 5, 10069, 9424, 29771, 54574, 32054, 75230, 12483, 199145, 21923, 162926, 6235, 8300, 119718, 2808, 109226, 6235, 119718, 29766, 12483, 3069, 119055, 6093, 12483, 22426, 90848, 73215, 34079, 185758, 18415, 3056, 6, 21106, 4852, 29771, 1438, 5757, 5, 3120, 1285, 9213, 73375, 8903, 21923, 119055, 101503, 54260, 5666, 32792, 1470, 75230, 4667, 1285, 14856, 46244, 80885, 4151, 13342, 6235, 8300, 119718, 2808, 109226, 6235, 119718, 29766, 12483, 103854, 1285, 3373, 29771, 10918, 21106, 4113, 101251, 105235, 16747, 12483, 5, 8947, 43449, 54260, 1982, 12483, 6, 104985, 30535, 84475, 7221, 119718, 120467, 21923, 162926, 6235, 119718, 29766, 12483, 116486, 73215, 34079, 185758, 18415, 32054, 54260, 119718, 710, 186461, 5, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 13159, 21923, 81444, 29434, 54260, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 152, 4151, 81414, 149364, 4, 35189, 6, 238144, 104238, 1751, 48904, 75290, 4, 34654, 15857, 46590, 710, 4944, 5, 3120, 6, 143409, 10339, 147713, 18225, 220224, 6, 59919, 159696, 13805, 1644, 12483, 1470, 54260, 23269, 7265, 4151, 221895, 2442, 2200, 1751, 109636, 16932, 4, 119055, 12483, 18225, 37826, 59919, 3131, 57277, 49008, 6150, 220224, 21923, 29434, 54260, 45521, 93509, 63188, 65482, 70695, 20260, 506, 54260, 96986, 4, 37826, 51723, 125523, 4838, 1751, 46545, 9424, 54260, 2882, 6235, 20315, 185226, 36324, 220224, 51678, 40653, 8903, 42023, 1470, 54260, 23269, 2205, 10069, 221895, 4, 36324, 3120, 4838, 81414, 149364, 4, 77985, 4, 6319, 68558, 119055, 6093, 12483, 15857, 46590, 21292, 2200, 10705, 2865, 8903, 39340, 506, 33716, 5, 8947, 3056, 95455, 6, 59919, 12415, 172398, 2882, 3120, 7508, 6093, 32054, 48904, 10918, 4852, 152185, 24621, 10069, 10918, 7511, 86733, 131397, 3069, 151614, 1982, 12483, 1470, 75230, 2702, 8903, 22426, 1644, 171433, 16932, 2882, 1285, 39293, 29434, 54260, 70695, 20260, 506, 54260, 96986, 4, 3069, 151614, 1982, 12483, 6235, 8300, 54260, 98833, 6150, 220224, 21923, 17824, 88917, 59919, 16629, 6093, 12483, 1470, 54260, 23269, 69355, 1285, 221895, 2200, 3069, 151614, 1982, 12483, 6235, 8300, 54260, 98833, 36324, 220224, 51678, 6319, 54260, 5666, 2865, 39083, 7243, 2808, 88680, 8903, 42023, 1470, 54260, 23269, 2205, 1285, 221895, 5, 10069, 4269, 171433, 29766, 4113, 4113, 5, 132, 2648, 120467, 119055, 99766, 4269, 171433, 29766, 4113, 4113, 107776, 3120, 137, 2932, 171433, 710, 155, 235210, 12483, 2200, 37271, 2442, 68438, 155 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12415, 49008, 4, 6, 238144, 1644, 6, 119859, 28726, 68380, 4, 1470, 54260, 59461, 3120, 1285, 10339, 64260, 93497, 3120, 35189, 14856, 10069, 10918, 1211, 4, 199145, 37826, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 6235, 8903, 1982, 12483, 21776, 2050, 6, 113889, 51723, 4, 37826, 61397, 135118, 2882, 36324, 1285, 67882, 16932, 17645, 199145, 46654, 34533, 6, 23173, 75230, 2702, 3056, 6, 235210, 12483, 5, 18225, 22444, 23741, 10069, 30109, 48904, 15307, 54260, 2882, 1470, 75230, 4667, 43449, 43178, 5666, 29766, 17800, 26612, 25222, 4, 3120, 137, 17160, 43178, 22492, 155, 31249, 54260, 2050, 4, 119055, 13845, 4944, 13159, 564, 21660, 54260, 4944, 35596, 1470, 75230, 4667, 42493, 95455, 6, 120749, 93975, 163825, 4, 36324, 75230, 163139, 13159, 3056, 194706, 564, 37016, 84577, 364, 54260, 13497, 13342, 97634, 2932, 5, 16, 35189, 81414, 149364, 84475, 1285, 4269, 171433, 29766, 4113, 4113, 3056, 1285, 5960, 874, 54260, 80885, 1211, 45521, 48974, 171433, 29766, 4113, 4113, 133249, 3131, 80453, 54260, 18415, 30109, 48904, 15307, 54260, 2882, 564, 54260, 874, 114436, 5, 9213, 46244, 6, 238144, 16803, 81444, 4667, 163139, 1751, 57277, 24152, 87311, 59094, 12483, 3056, 45521, 93509, 80453, 54260, 2882, 2819, 20632, 4, 4151, 81414, 149364, 107776, 125523, 6, 87311, 59094, 12483, 5, 59919, 506, 13845, 2882, 99611, 195164, 18640, 119055, 76632, 8903, 7369, 119718, 92605, 2702, 65482, 874, 114436, 3120, 1285, 21422, 119718, 15350, 15533, 9221, 18415, 657, 192539, 151614, 1982, 12483, 7243, 6235, 7972, 96986, 3120, 4151, 4269, 171433, 29766, 4113, 4113, 5, 3120, 76961, 25616, 48904, 15307, 54260, 96986, 3120, 119055, 13845, 107581, 1285, 874, 114436, 657, 54260, 20315, 1211, 4, 74806, 1644, 91595, 149010, 2200, 219947, 74806, 1644, 91595, 149010, 4, 67882, 40920, 4151, 81414, 149364, 1470, 75230, 2702, 4948, 6, 149364, 8300, 35596, 5, 95455, 506, 54260, 16803, 4, 9747, 1285, 6, 170355, 4667, 6, 59919, 105235, 47526, 710, 104238, 3069, 67882, 4944, 12483, 4, 36324, 18225, 235466, 4382, 4484, 48775, 20260, 3120, 76961, 2442, 1644, 54260, 30109, 48904, 15307, 54260, 96986, 4, 21923, 9424, 119718, 40697, 1211, 220224, 30463, 6319, 48775, 20260, 69355, 81414, 149364, 5, 1982, 54260, 32054, 75230, 12483, 107776, 1285, 30109, 48904, 15307, 54260, 2882, 36324, 75230, 123736, 23741, 160238, 4, 36324, 4, 125523, 1285, 137377, 15231, 2865, 34533, 40697, 80885, 123736, 56703, 21660, 109226, 4, 125523, 1285, 4269, 171127, 18640, 80885, 48706, 40096, 710, 175483, 12483, 4, 657, 54260, 20315, 1211, 14856, 46244, 163139, 209, 116486, 8300, 35596, 32054, 75230, 12483, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 84475, 69355, 10339, 39083, 8903, 1211, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 5, 92500, 81444, 874, 54260, 49008, 20033, 42493, 1285, 116486, 73215, 34079, 185758, 18415, 2819, 292, 220224, 151614, 1982, 12483, 2648, 29771, 4667, 76961, 1285, 30109, 48904, 15307, 54260, 2882, 5, 20033, 874, 54260, 49008, 34654, 6235, 159696, 506, 5666, 149010, 32054, 75230, 12483, 4, 24621, 46244, 80885, 16667, 1285, 45521, 17800, 54260, 45629, 18415, 18415, 4, 1285, 32054, 75230, 12483, 199145, 18225, 364, 186955, 56170, 48904, 29659, 186797, 4113, 4, 56170, 5332, 46244, 149010, 5, 2200, 220224, 21923, 6, 57277, 39340, 6, 48904, 29659, 186797, 4113, 4, 20315, 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 ]
[ 151614, 1982, 12483, 220224, 6093, 12483, 81414, 149364, 6235, 4484, 90848, 8903, 1211, 3120, 220224, 123073, 1470, 54260, 2932, 65482, 874, 114436, 5, 21106, 4852, 29771, 4, 6, 105235, 21295, 9213, 46244, 7746, 160238, 95455, 163825, 32, 9213, 46244, 10213, 236376, 10069, 14856, 110970, 12483, 190800, 8903, 42023, 230764, 4151, 4269, 59929, 5, 9213, 46244, 55242, 506, 2882, 805, 874, 114436, 7201, 23173, 1982, 54260, 8903, 42023, 292, 6, 23173, 88680, 4948, 3120, 220224, 151614, 1982, 12483, 84475, 151614, 1982, 12483, 6235, 506, 40096, 4838, 65848, 149364, 5, 9213, 46244, 55242, 506, 2882, 805, 32054, 75230, 12483, 160238, 1982, 54260, 8903, 42023, 4, 292, 209, 84475, 427, 3120, 4852, 54260, 151614, 1982, 12483, 4838, 81414, 149364, 84475, 1285, 10339, 39083, 8903, 1211, 4151, 69355, 5, 69355, 76961, 32054, 75230, 12483, 199145, 6, 104378, 7746, 10213, 506, 183512, 1644, 12483, 564, 54260, 2050, 81444, 20911, 29766, 2200, 95766, 145813, 15907, 39083, 6, 159696, 8903, 1211, 81414, 149364, 84475, 6, 159696, 8903, 1211, 1285, 10339, 39083, 8903, 1211, 3120, 4151, 25616, 48904, 15307, 54260, 2882, 4, 21923, 2358, 116486, 8300, 35596, 45521, 17800, 54260, 2442, 174121, 18415, 4, 21776, 150349, 37016, 57277, 130929, 22680, 75230, 12483, 4, 199145, 21923, 132025, 8903, 105235, 20911, 6235, 119718, 29766, 12483, 3120, 220224, 123073, 874, 114436, 5, 2808, 54260, 23269, 3120, 1285, 10339, 39083, 8903, 1211, 3120, 4269, 171433, 29766, 4113, 4113, 564, 54260, 32054, 75230, 12483, 2200, 564, 54260, 874, 114436, 68313, 1285, 6, 82576, 15350, 131044, 4, 1285, 2190, 5666, 141562, 40920, 1982, 23173, 4484, 54260, 2882, 4, 1285, 2190, 5666, 2865, 43178, 7972, 4944, 4484, 54260, 2882, 3069, 85465, 200117, 12483, 114955, 5, 3120, 364, 88917, 77188, 48706, 89184, 28726, 364, 54260, 48775, 96986, 4, 3120, 364, 88917, 77188, 37271, 22426, 29766, 10339, 39083, 4484, 155, 199145, 151614, 1982, 12483, 7243, 6319, 54260, 1211, 114955, 4, 151614, 1982, 12483, 2678, 3069, 45521, 38054, 48904, 165354, 220224, 6093, 2190, 5666, 141562, 40920, 1982, 23173, 4484, 54260, 2882, 152, 6, 7961, 4151, 4269, 171433, 29766, 4113, 4113, 5, 81764, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 69355, 16503, 32054, 75230, 12483, 7265, 4269, 171433, 29766, 4113, 4113, 84475, 7265, 10339, 39083, 8903, 1211, 4151, 69355, 4, 21923, 2451, 125523, 6, 47351, 130170, 46464, 4944, 17310, 4, 292, 7218, 6235, 159696, 104149, 10339, 39083, 29659, 186797, 6, 82576, 15350, 4, 2648, 5, 364, 5, 220224, 151614, 1982, 12483, 220273, 7243, 6235, 506, 40096, 6319, 54260, 1211, 1470, 54260, 109985, 192544, 4, 3496, 64260, 3131, 220224, 85465, 200117, 12483, 6235, 119718, 39083, 2882, 151614, 1982, 12483, 5, 1285, 40653, 93975, 2789, 151614, 1982, 12483, 76961, 2205, 1470, 54260, 119132, 8903, 506, 40096, 5606, 114955, 5, 2808, 54260, 23269, 3120, 1285, 10339, 39083, 8903, 1211, 3120, 81414, 149364, 21923, 1751, 159696, 25207, 1470, 75230, 8903, 1211, 35596, 10918, 16747, 109226, 564, 54260, 3523, 54260, 8903, 1982, 75230, 2442, 65482, 114955, 5, 123736, 23741, 6, 186145, 23741, 7746, 36324, 1285, 114955, 4852, 39083, 12483, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 34072, 16747, 119055, 6093, 12483, 5, 20632, 4, 21776, 4944, 35596, 18225, 36324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 66633, 4, 183512, 123073, 220771, 12483, 6150, 387, 78278, 496, 116486, 8300, 35596, 3120, 76961, 34072, 152848, 69355, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 151614, 1982, 12483, 3069, 45521, 38054, 48904, 165354, 220224, 6093, 46711, 75230, 6093, 93975, 1211, 3069, 29659, 93047, 292, 4151, 4269, 171433, 29766, 4113, 4113, 199145, 220224, 123073, 15864, 195164, 151614, 1982, 12483, 6235, 506, 40096, 2205, 4151, 9424, 54260, 2882, 3120, 4151, 6, 35596, 12890, 16747, 17310, 2200, 199145, 1285, 67882, 195164, 151614, 1982, 12483, 6235, 4484, 90848, 8903, 1211, 3120, 220224, 123073, 874, 114436, 5, 2200, 10213, 46685, 20911, 36324, 1285, 9424, 29771, 54574, 90536, 152848, 3056, 7243, 6319, 54260, 1211, 19302, 54260, 23269, 152, 2205, 100439, 21923, 6235, 159696, 1211, 2205, 1285, 59919, 2808, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 836, 617, 1662, 34072, 152848, 4, 34072, 152848, 3120, 76961, 2442, 1644, 54260, 34482, 170355, 4944, 12483, 5, 10069, 4269, 171433, 29766, 4113, 4113, 3056, 4838, 30109, 48904, 15307, 54260, 2882, 199145, 17824, 54260, 23741, 6, 68558, 1285, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 5, 1470, 75230, 4667, 221895, 16175, 54260, 1644, 12483, 3120, 26, 2050, 14856, 110970, 149010, 1211, 6, 75290, 149364, 51678, 132025, 8903, 105235, 20911, 119055, 6093, 12483, 3120, 9213, 46244, 4, 6, 104985, 95455, 3056, 55242, 1644, 96986, 5, 51723, 6235, 7916, 13497, 1285, 30109, 48904, 15307, 54260, 2882, 14856, 46244, 80885, 16667, 564, 54260, 4231, 17310, 4113, 657, 54260, 2882, 4, 95298, 30473, 67882, 40920, 1470, 75230, 4667, 123736, 23741, 4838, 564, 48350, 31212, 564, 54260, 895, 16932, 4113, 874, 114436, 5, 32054, 75230, 12483, 151614, 1982, 12483, 30473, 3523, 40096, 9221, 32792, 119055, 76632, 61397, 5, 15, 13159, 6, 59919, 105235, 506, 2882, 7746, 36324, 20033, 21776, 4944, 171428, 81444, 85465, 200117, 12483, 7243, 55242, 1644, 96986, 3069, 657, 54260, 20315, 1211, 3120, 1285, 168155, 22518, 37016, 32792, 2190, 76776, 23405, 65482, 506, 46685, 25616, 54260, 20260, 2819, 220224, 119055, 6093, 12483, 23050, 1982, 18167, 10213, 101080, 56169, 2200, 132025, 8903, 105235, 20911, 3120, 7369, 219947, 6, 23173, 54260, 1211, 1285, 116486, 73215, 34079, 185758, 18415, 247, 1470, 75230, 4667, 114955, 3120, 6, 63188, 12483, 6, 21106, 16932, 119718, 92605, 2702, 65482, 14856, 110970, 12483, 4, 84475, 216333, 6235, 225975, 2882, 3120, 163139, 1644, 20315, 4, 24012, 35189, 93975, 10213, 73215, 13159, 199145, 151614, 1982, 12483, 1285, 6235, 29659, 186955, 3120, 14856, 110970, 12483, 5, 20033, 10213, 46685, 165354, 7201, 29766, 88680, 8903, 506, 186797, 4, 36324, 1285, 132025, 105235, 4484, 17310, 3120, 19302, 54260, 23269, 114955, 44779, 3056, 29771, 23741, 3069, 45521, 38054, 48904, 165354, 10676, 2190, 5666, 113889, 70598, 21106, 12483, 17190, 1982, 12483, 2205, 1285, 17824, 75230, 36419, 116486, 28726, 57277, 12415, 150839, 54260, 168155, 4, 119055, 10705, 18225, 657, 176727, 4, 2205, 874, 48904, 107581, 364, 54260, 168155, 4, 64699, 1470, 54260, 59461, 230764, 10676, 221895, 1211, 4, 6235, 10069, 40920, 1470, 54260, 5666, 8903, 22426, 129071, 163139, 1285, 49920, 23174, 13159, 5, 26612, 3373, 4667, 874, 114436, 119055, 6093, 12483, 7243, 132025, 8903, 44478, 35596, 3120, 1470, 54260, 1211, 874, 39083, 2819, 220224, 84316, 8903, 1211, 1285, 30109 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15307, 54260, 2882, 9424, 238144, 4, 29434, 54260, 84475, 14856, 46244, 123073, 874, 39083, 5, 9213, 73375, 2932, 171433, 29766, 4113, 4113, 117595, 8903, 16667, 212632, 1285, 14856, 110970, 12483, 2205, 4838, 122868, 63593, 54260, 1211, 6, 159696, 110317, 3120, 220224, 123073, 657, 54260, 20315, 1211, 4, 2808, 88680, 506, 75230, 22426, 2882, 2205, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 4, 119055, 10705, 95455, 6, 75578, 9221, 50097, 2702, 3069, 151614, 1982, 12483, 6, 59919, 39340, 46244, 3056, 36324, 75230, 1751, 57277, 24152, 2200, 119055, 77188, 125523, 364, 88917, 77188, 874, 39083, 6, 59919, 29659, 23173, 20911, 3120, 1285, 4838, 1982, 5666, 29766, 24621, 4, 101251, 8903, 46464, 152848, 10213, 218710, 109226, 2205, 119055, 13845, 107581, 62808, 17190, 1982, 12483, 5, 113687, 158548, 2205, 10676, 123736, 23741, 12483, 163139, 35189, 506, 39083, 12483, 3120, 4269, 171433, 29766, 4113, 4113, 564, 54260, 54745, 18553, 39293, 22849, 12483, 6, 212915, 3056, 1470, 75230, 4667, 1285, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 1285, 4231, 17310, 4113, 657, 54260, 2882, 4, 119055, 13845, 107581, 506, 21106, 96986, 1285, 30109, 48904, 15307, 54260, 2882, 56170, 4838, 657, 54260, 4944, 18415, 2200, 657, 54260, 40920, 506, 54260, 22849, 23173, 4113, 5, 2205, 4852, 54260, 6093, 6235, 39293, 139962, 145702, 119055, 77188, 18225, 40653, 506, 75230, 22426, 2882, 220273, 7243, 10213, 210674, 29060, 7201, 23173, 4838, 6, 212915, 4, 163139, 1982, 21106, 2648, 18225, 37826, 7243, 6235, 506, 40096, 3496, 64260, 3131, 1470, 54260, 1211, 874, 39083, 4838, 81414, 149364, 2819, 2200, 4, 8947, 6, 59919, 105235, 506, 2882, 7746, 4, 4151, 17824, 20961, 163139, 40920, 18640, 4484, 54260, 2882, 3120, 10676, 212915, 2200, 4151, 21776, 150349, 87442, 3069, 1470, 30682, 4, 119055, 92605, 16803, 7265, 4151, 9424, 29771, 54574, 4269, 171433, 29766, 25207, 12483, 199145, 7369, 67882, 40920, 37729, 5, 12415, 39293, 137, 13845, 16932, 4113, 4, 7369, 7201, 26612, 506, 189623, 123073, 155, 4231, 17310, 4113, 874, 114436, 212632, 1285, 94626, 83957, 75230, 111137, 119718, 92605, 2702, 65482, 36324, 220224, 137, 11556, 104149, 155, 6235, 42023, 137, 13342, 32054, 75230, 12483, 2004, 95455, 506, 54260, 16803, 3069, 116486, 73215, 105515, 4484, 13159, 4, 6, 238144, 1644, 9934, 171433, 16803, 119055, 109316, 1211, 220224, 6319, 48775, 20260, 119055, 6093, 12483, 5, 92500, 220224, 6235, 506, 12483, 27, 35189, 81414, 149364, 3056, 1470, 54260, 23269, 3120, 1285, 364, 23173, 2882, 23269, 16580, 2932, 80885, 70695, 20260, 506, 54260, 96986, 152, 159696, 1211, 22753, 29434, 23174, 2882, 6, 23173, 54260, 1211, 2205, 4151, 620, 54260, 7758, 75230, 2882, 15, 2648, 120467, 364, 54260, 18415, 1644, 199145, 564, 93704, 87442, 10676, 22639, 6093, 149010, 1211, 16175, 54260, 1644, 16, 3120, 1285, 5332, 31249, 91595, 2702, 29766, 119859, 49008, 4, 3056, 8947, 39293, 46244, 1751, 159696, 2442, 22753, 6, 23173, 75230, 2702, 13342, 23822, 54260, 1982, 12483, 5, 4838, 46590, 905, 2205, 1285, 4269, 171127, 18640, 80885, 6, 61541, 16870, 75230, 77188, 22753, 29434, 54260, 874, 232187, 96986, 2819, 18225, 178748, 21776, 4944, 171428, 55242, 13805, 874, 232187, 96986, 2205, 10069, 14856, 506, 29025, 29771, 54574, 10339, 109316, 2819, 119055, 76632, 61397, 163139, 9424, 238144, 874, 232187 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 96986, 3056, 4838, 55242, 1644, 134727, 54260, 2882, 5, 874, 48904, 4944, 2865, 39083, 119055, 77188, 22753, 30109, 171433, 13456, 2200, 22753, 6428, 75230, 77188, 6, 101328, 46244, 12483, 71804, 23405, 5, 104985, 55242, 46244, 123736, 23741, 3056, 22753, 1751, 75230, 1211, 3120, 6, 71804, 23405, 6235, 506, 54260, 21295, 2200, 1285, 4231, 17310, 4113, 657, 54260, 158652, 171428, 7746, 7508, 120467, 7243, 34076, 75230, 1982, 12483, 2200, 364, 21106, 96986, 7746, 2205, 1470, 54260, 1211, 10213, 506, 183512, 1644, 12483, 74, 95766, 10676, 21923, 1470, 75230, 4667, 131397, 158548, 1285, 10184, 109316, 14856, 10069, 10918, 5666, 40697, 27702, 107829, 96986, 2200, 10069, 29434, 5, 9934, 75230, 2932, 2865, 183718, 199145, 17190, 1982, 12483, 4838, 68550, 2200, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 2200, 69355, 4151, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 1285, 4231, 17310, 4113, 874, 114436, 5, 9213, 73375, 8903, 16667, 2205, 1470, 75230, 4667, 39293, 46244, 123736, 23741, 1285, 10213, 506, 183512, 1644, 17310, 3120, 1285, 81444, 20911, 75230, 16847, 131397, 158548, 2205, 21776, 2050, 6, 59919, 1644, 141847, 6093, 12483, 3120, 1285, 168155, 30109, 54260, 20260, 2819, 54745, 1211, 4838, 3373, 4667, 81444, 20911, 75230, 16847, 4, 119055, 12483, 220224, 84316, 8903, 1211, 2205, 220224, 123073, 364, 141943, 215031, 30109, 48904, 165354, 4, 21923, 220224, 163139, 1285, 145813, 710, 49008, 4, 54260, 710, 6, 212484, 12483, 1470, 30682, 7243, 6, 23173, 75230, 2702, 78278, 220224, 9934, 75230, 8903, 1211, 1470, 30682, 7243, 2205, 6, 119859, 57619, 12483, 43955, 2442, 6093, 88771, 6, 159696, 8903, 1211, 23050, 3131, 28726, 47332, 2702, 28726, 1982, 12483, 2808, 75230, 2702, 5, 2200, 4, 119055, 12483, 7369, 3056, 1751, 75230, 1211, 14856, 46244, 7243, 6319, 48775, 20260, 4, 105884, 12483, 220224, 1470, 30682, 2808, 54260, 1211, 47833, 7369, 3056, 8947, 125523, 4, 2200, 10213, 506, 183512, 1644, 12483, 1470, 30682, 36324, 75230, 10184, 13845, 36324, 7369, 159696, 33716, 6319, 48775, 20260, 3120, 4151, 10213, 506, 183512, 1644, 17310, 5, 95766, 4838, 122868, 63593, 54260, 1211, 3056, 1285, 30109, 48904, 15307, 54260, 2882, 4838, 364, 54260, 22849, 23173, 4113, 2819, 22753, 6319, 68558, 7746, 2808, 75230, 51437, 54260, 1644, 12483, 10339, 39083, 29659, 186797, 2200, 7243, 40653, 212484, 12483, 6319, 54260, 1211, 69529, 620, 91595, 73381, 39083, 8903, 1211, 125523, 7746, 5, 84475, 2181, 6319, 68558, 7746, 46711, 73381, 12483, 4, 36324, 1285, 30109, 48904, 15307, 54260, 200651, 2702, 36324, 13845, 107581, 170479, 7746, 1470, 75230, 51437, 54260, 1644, 12483, 4, 95298, 22753, 170479, 98252, 212484, 12483, 2190, 22492, 23405, 65482, 506, 24621, 224220, 22426, 7972, 78683, 10918, 239162, 1211, 4, 95455, 364, 54260, 16803, 23050, 1982, 12483, 25616, 48904, 15307, 54260, 96986, 5, 1982, 54260, 2050, 6, 212915, 3056, 1470, 75230, 4667, 162926, 4838, 17824, 75230, 101608, 16175, 54260, 1644, 3120, 34654, 39293, 224220, 22426, 7972, 78683, 10918, 239162, 1211, 3069, 45521, 38054, 48904, 165354, 4151, 40653, 30750, 506, 183512, 1644, 17310, 4, 4151, 10213, 506, 48904, 2442, 1644, 17310, 119055, 12483, 30473, 3056, 1751, 75230, 1211, 7243, 14856, 46244, 3523, 75230, 15231, 2932, 5, 63864, 170355, 107581, 5, 292, 564, 54260, 2050, 81414, 149364, 2205, 81444, 6, 104985 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 54260, 1211, 1470, 54260, 109985, 4113, 34482, 170355, 107581, 152, 1285, 1285, 25207, 146873, 132025, 105235, 4484, 17310, 564, 54260, 2050, 74806, 1644, 91595, 149010, 1211, 59919, 39340, 46244, 5, 18225, 364, 77188, 123736, 23741, 9424, 119718, 40697, 1211, 15622, 151227, 24295, 7508, 6093, 12483, 6, 159696, 8903, 1211, 4484, 48775, 20260, 159696, 25207, 1211, 137, 69355, 82563, 2050, 155, 84475, 3120, 6, 59919, 16580, 54574, 17310, 72896, 5, 34076, 75230, 47332, 7243, 10069, 39293, 6, 86270, 54260, 96986, 5, 4838, 81414, 149364, 107776, 6, 104985, 3120, 6, 47351, 221895, 1211, 81414, 149364, 5, 5666, 40096, 9221, 32792, 51678, 20033, 21776, 4944, 171428, 4838, 75386, 34654, 364, 75230, 22426, 2882, 63864, 170355, 107581, 152, 10069, 116486, 73215, 34079, 10918, 68558, 5, 3120, 9213, 46244, 6, 101470, 7746, 76961, 6, 48904, 105235, 4484, 109226, 5, 35189, 81414, 149364, 564, 54260, 2050, 6, 212915, 5, 2451, 21087, 2865, 22426, 97634, 51723, 5, 95766, 132025, 7201, 48904, 2932, 37826, 35189, 30109, 48904, 75290, 6, 47351, 2190, 76776, 23405, 65482, 506, 51723, 6235, 111684, 1644, 4, 1470, 6, 56052, 21374, 34709, 12483, 84475, 1982, 54260, 2702, 12483, 2205, 115825, 2648, 5, 874, 48904, 4944, 2865, 39083, 6, 111684, 21295, 7369, 4838, 137, 506, 54260, 155, 2200, 6, 225975, 23173, 4838, 142196, 71945, 2819, 4151, 85596, 71945, 9424, 54260, 98833, 7746, 14856, 46244, 80885, 16667, 119055, 20616, 189623, 2442, 84475, 125523, 20315, 2050, 179096, 1211, 212484, 12483, 5, 4838, 3373, 4667, 874, 39083, 657, 54260, 2648, 2882, 18225, 220273, 7243, 2200, 18225, 7508, 6093, 119718, 34533, 7746, 7369, 29659, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 4, 119055, 12483, 18225, 55242, 506, 2882, 10676, 1470, 75230, 2702, 21066, 24244, 6, 23173, 75230, 2702, 104378, 5, 2205, 4838, 122868, 63593, 54260, 1211, 6428, 75230, 77188, 8947, 4, 3120, 7508, 6093, 132025, 105235, 4484, 17310, 2702, 8300, 54260, 2882, 78278, 3069, 1285, 200795, 177157, 12130, 4, 29434, 54260, 78278, 22753, 1982, 12483, 193012, 5, 55242, 1644, 96986, 6428, 75230, 77188, 2181, 119055, 76632, 61397, 6, 29766, 6093, 14856, 46244, 4, 6, 63188, 43178, 7201, 21106, 2702, 7243, 14856, 46244, 163139, 8300, 238144, 119055, 29771, 4944, 12483, 5, 35189, 1470, 75230, 2702, 21066, 24244, 10213, 105235, 506, 2882, 3120, 4838, 6, 238144, 2702, 12483, 8903, 22849, 149010, 1211, 4, 6235, 120749, 12483, 1470, 54260, 16932, 4, 119055, 13845, 104238, 7508, 41595, 5960, 132025, 7201, 48904, 2932, 6, 21106, 54260, 1211, 6, 23173, 75230, 2702, 4, 2200, 9424, 54260, 98833, 7746, 3131, 109636, 16932, 6, 104985, 564, 54260, 2050, 1470, 75230, 92904, 7682, 12483, 5, 13159, 2205, 163139, 40920, 18640, 1285, 4231, 17310, 4113, 657, 54260, 2882, 1470, 75230, 7201, 46685, 4484, 170355, 2050, 3069, 67882, 4944, 12483, 230764, 7201, 39083, 8903, 16747, 12483, 11265, 202936, 4, 199145, 6235, 155697, 2882, 55242, 46244, 123736, 23741, 5, 220224, 6, 104378, 42493, 55242, 1644, 96986, 73784, 81444, 20911, 29766, 7265, 4151, 6319, 71804, 8903, 36324, 220224, 151614, 1982, 12483, 6, 47351, 1470, 75230, 2702, 21066, 24244, 3120, 2932, 171433, 29766, 4113, 4113, 115468, 2808, 54260, 16932, 15, 101296, 16932, 17645, 16, 2200, 4, 564, 54260, 6235, 5666, 75230, 123073, 130170, 119718, 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 ]
[ 17310, 4, 6235, 7916, 13497, 18225, 219947, 4838, 46590, 905, 10676, 19302, 172398, 96986, 3373, 15289, 3120, 81414, 149364, 2819, 54745, 1211, 95455, 199145, 220224, 506, 21106, 96986, 56170, 1470, 54260, 16932, 3056, 220273, 1470, 54260, 5666, 7201, 26612, 104238, 620, 54260, 2050, 4, 119055, 13845, 104238, 3056, 81444, 1982, 54260, 177274, 1211, 6235, 4852, 88917, 12483, 6, 212915, 4, 119055, 13845, 104238, 9424, 54260, 98833, 7746, 95298, 2205, 4838, 17824, 13159, 123073, 24152, 119718, 84577, 131044, 125523, 1470, 75230, 22680, 4113, 2932, 109226, 5, 1285, 168155, 620, 54260, 2050, 3056, 7243, 6, 238144, 2702, 4, 4852, 29771, 83182, 1211, 123736, 42023, 6319, 54260, 1211, 69529, 56170, 1982, 4, 163139, 119055, 59929, 6093, 4, 7369, 6, 32670, 2882, 7746, 2200, 3056, 21733, 4113, 1982, 18640, 5, 2181, 6, 59919, 105235, 506, 2882, 7746, 4, 36324, 2205, 215031, 10339, 21106, 3056, 7243, 3523, 75230, 15231, 65442, 18167, 3069, 10213, 506, 183512, 1644, 12483, 2200, 6, 226112, 7611, 10676, 21923, 657, 54260, 35189, 81444, 6235, 3111, 2932, 81444, 20911, 75230, 16847, 199145, 67882, 4944, 12483, 7746, 7243, 163139, 2702, 186797, 4, 199145, 10213, 236376, 12483, 10676, 620, 54260, 2050, 21106, 2702, 6, 47351, 1470, 75230, 2702, 21066, 24244, 2200, 10213, 506, 183512, 1644, 12483, 10676, 2190, 5666, 119718, 21292, 141943, 12483, 30109, 48904, 165354, 76961, 23405, 123073, 9424, 54260, 2882, 5, 1982, 54260, 2050, 6, 120749, 93975, 1211, 1470, 75230, 2702, 21066, 24244, 3120, 4151, 4269, 171433, 29766, 4113, 4113, 4, 107776, 14856, 46244, 80885, 16667, 2442, 6093, 1470, 54260, 16932, 7243, 3120, 55242, 46244, 16175, 17645, 6293, 4, 54745, 1211, 1285, 78104, 73381, 123073, 4269, 171433, 29766, 4113, 4113, 3056, 59919, 506, 13845, 2882, 99611, 195164, 18640, 55242, 1644, 96986, 5, 2819, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 145813, 17645, 21295, 4852, 18167, 1285, 30109, 48904, 15307, 54260, 2882, 123736, 1982, 2205, 21776, 2050, 160238, 35189, 12483, 16175, 54260, 1644, 3120, 115825, 2648, 4, 44917, 76216, 35596, 69355, 7508, 6093, 6, 73381, 43178, 17310, 5, 95766, 4151, 67882, 16932, 17645, 6235, 7916, 13497, 18225, 4, 564, 54260, 6, 47351, 130170, 46464, 4944, 17310, 130170, 25207, 2050, 45521, 48974, 25207, 101608, 17310, 2702, 71577, 23173, 40096, 4, 130170, 10676, 6, 134067, 90848, 95564, 137377, 4, 1470, 55242, 46244, 15529, 107581, 874, 43178, 8903, 6319, 54260, 28726, 4944, 196332, 7544, 58679, 200117, 12483, 4, 199145, 18225, 22444, 23741, 6, 68558, 4269, 29771, 113889, 88660, 165354, 4, 119055, 13845, 107581, 17190, 1982, 12483, 2200, 6, 59919, 24621, 46244, 12483, 7746, 2205, 4151, 147582, 2702, 18640, 4484, 54260, 2882, 92500, 119055, 13845, 107581, 163825, 12483, 95455, 132025, 105235, 39340, 152848, 67882, 16932, 710, 21106, 5, 220224, 6093, 6, 59919, 24621, 46244, 17310, 230764, 2200, 2205, 4151, 620, 54260, 7758, 75230, 2882, 3120, 1285, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 4, 101296, 40920, 1285, 39293, 36324, 75230, 6319, 48775, 20260, 2200, 220224, 6093, 10213, 46464, 83182, 4113, 160238, 1644, 17645, 30750, 3069, 1285, 2648, 29771, 30473, 8903, 620, 54260, 7758, 75230, 96986, 4, 67882, 40920, 1285, 30109, 48904, 15307, 54260, 2882, 36324, 75230, 1751, 159696, 2442, 3069, 364, 54260, 1644, 12483, 5, 23173, 14088, 4151, 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 ]
[ 73381, 43178, 17310, 3120, 26, 5, 115825, 2648, 9424, 54260, 98833, 7746, 4838, 7508, 75230, 158652, 54260, 2882, 4, 119055, 13845, 107581, 88660, 1211, 7746, 45521, 93509, 80453, 54260, 96986, 40653, 4838, 17824, 13159, 123073, 1470, 75230, 75578, 7201, 192956, 3120, 26, 2050, 123736, 48974, 47351, 5, 55242, 46244, 123736, 23741, 119055, 77188, 1470, 75230, 4667, 1285, 4269, 48904, 26394, 42493, 3120, 10676, 115825, 2648, 84475, 6, 40096, 54260, 1644, 4151, 69355, 74806, 119718, 39083, 12483, 4, 6, 104985, 55242, 1644, 96986, 3056, 1285, 1751, 159696, 1644, 17310, 37729, 2200, 103854, 4, 2205, 4151, 4269, 48904, 89930, 1285, 178674, 54260, 2882, 3120, 10676, 115825, 2648, 5, 119055, 12483, 1285, 6, 35596, 10918, 16747, 17310, 68313, 1751, 57277, 24152, 4, 119055, 6093, 12483, 1470, 75230, 4667, 74806, 119718, 39083, 12483, 1285, 29434, 710, 104149, 3120, 7508, 6093, 1285, 4667, 74, 95766, 4838, 122868, 63593, 54260, 1211, 3056, 95298, 34654, 39293, 1751, 159696, 1644, 17310, 7243, 6319, 54260, 1211, 55242, 46244, 43649, 23173, 39340, 92500, 14856, 46244, 80885, 16667, 6235, 506, 2882, 22753, 3120, 7746, 55242, 22849, 16803, 98252, 4, 1751, 109636, 42180, 1644, 119055, 12483, 35189, 30109, 48904, 75290, 6319, 68558, 6, 186461, 12483, 1470, 54260, 7511, 8903, 193012, 2205, 564, 29060, 4, 292, 6, 104985, 4838, 68697, 54260, 16932, 85465, 200117, 12483, 657, 54260, 35189, 55242, 46244, 55242, 1644, 96986, 1285, 14856, 97594, 4944, 4484, 54260, 2882, 95455, 3069, 6, 80264, 5, 119055, 12483, 1285, 136124, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 3131, 159696, 1644, 17310, 3120, 4231, 65482, 29434, 710, 104149, 6, 59919, 23847, 13159, 77188, 7746, 4, 163825, 29060, 7746, 4838, 874, 14325, 4, 159696, 1644, 107581, 3056, 2205, 6, 119859, 57619, 12483, 6, 20616, 5666, 32792, 3069, 1211, 4838, 6235, 159696, 506, 5666, 149010, 2442, 874, 14325, 2200, 65146, 2808, 75230, 4667, 10213, 506, 183512, 13845, 2882, 119055, 6093, 12483, 2205, 4151, 39293, 1644, 75578, 4838, 33716, 5, 18225, 22444, 23741, 1285, 6, 35596, 10918, 16747, 17310, 2200, 1751, 159696, 1644, 17310, 2205, 4151, 1285, 4667, 152, 4838, 6, 169817, 68558, 5, 292, 7265, 4151, 9424, 54260, 2882, 59919, 24621, 506, 33716, 7746, 4151, 1470, 75230, 2702, 21066, 24244, 2200, 119055, 77188, 6235, 10069, 4944, 16932, 5, 4151, 10498, 6093, 8580, 68313, 123736, 23741, 36324, 75230, 1751, 57277, 24152, 36324, 8947, 3056, 1751, 159696, 2442, 3069, 6, 212484, 12483, 95455, 119055, 59929, 6093, 4, 54745, 1211, 10069, 10213, 65606, 2442, 17310, 3120, 4151, 30109, 48904, 75290, 620, 54260, 7758, 75230, 2882, 37729, 10676, 179096, 1211, 204982, 20315, 2050, 30109, 48904, 165354, 4838, 6235, 111684, 1644, 3120, 9721, 171428, 5, 37729, 4151, 45521, 189623, 61397, 17310, 3120, 20315, 2050, 213909, 21106, 4, 199145, 107776, 3120, 220224, 1211, 6, 35596, 10918, 152848, 96986, 3069, 29659, 183512, 4, 6235, 506, 97634, 23741, 4151, 1751, 226112, 2050, 3120, 10676, 179096, 1211, 19532, 75230, 2702, 2205, 6, 47351, 1470, 17310, 4113, 159696, 506, 5666, 149010, 2442, 7201, 29766, 2050, 4, 2205, 9424, 238144, 12483, 4, 6, 59919, 13982, 20616, 2882, 4, 6, 141847, 84475, 46711, 137377, 43178, 238144, 4852, 2819, 95298, 10069, 168155, 3069, 29659, 183512, 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 ]
[ 564, 54260, 7508, 6093, 4838, 17494, 16932, 4269, 171433, 29766, 4113, 4113, 6, 104985, 160238, 88680, 8903, 506, 141943, 5, 2648, 120467, 6, 61397, 12483, 3056, 2190, 91275, 37016, 159696, 2050, 2200, 123736, 23741, 2865, 39083, 4, 119055, 12483, 1285, 30109, 48904, 15307, 54260, 2882, 68313, 1751, 57277, 24152, 6, 35596, 119718, 125897, 21295, 4, 4151, 4484, 35596, 18225, 4838, 4269, 171433, 29766, 4113, 4113, 58679, 20260, 12483, 37729, 4852, 54260, 1211, 6, 185337, 5, 95455, 107776, 14856, 46244, 80885, 16667, 37729, 4838, 85596, 71945, 2205, 2200, 4838, 68550, 10069, 32887, 175483, 1644, 12483, 2200, 37729, 4838, 6235, 111684, 1644, 3120, 2190, 91275, 37016, 159696, 94790, 4944, 4484, 54260, 2882, 2190, 13497, 12483, 2205, 22444, 165354, 5, 13159, 6, 59919, 105235, 506, 2882, 7746, 36324, 76961, 1470, 75230, 1982, 12483, 564, 174798, 16011, 65482, 657, 54260, 20315, 1211, 7038, 104149, 85465, 200117, 12483, 4838, 620, 91595, 4113, 10339, 39083, 8903, 230764, 10676, 6, 119859, 57619, 12483, 6, 75290, 149364, 4, 163139, 1470, 75230, 4667, 230764, 20315, 2050, 4269, 54260, 16803, 3120, 10676, 30109, 48904, 165354, 5, 1285, 4231, 76632, 8903, 199145, 151614, 1982, 12483, 1751, 75230, 1211, 7369, 7201, 26612, 46244, 17310, 2205, 4151, 30109, 48904, 15307, 54260, 2882, 4, 67882, 4944, 12483, 7746, 14856, 46244, 80885, 16667, 7243, 10184, 13845, 4852, 29766, 8903, 1211, 3120, 4151, 4838, 17494, 16932, 4, 40026, 86733, 160238, 2050, 3120, 81414, 149364, 5, 95298, 1285, 119718, 120467, 21923, 125523, 7243, 6235, 119718, 29771, 5594, 13497, 7265, 4151, 30109, 48904, 15307, 54260, 2882, 4, 119055, 6093, 12483, 23822, 75230, 6093, 18640, 2200, 24012, 35189, 8903, 3131, 203749, 12483, 2819, 220224, 6093, 3523, 83586, 13342, 29659, 183512, 2205, 657, 54260, 40920, 13342, 6, 59919, 105235, 42023, 4, 119055, 12483, 18225, 4151, 87311, 13497, 7746, 36324, 220224, 151614, 1982, 12483, 40026, 506, 6093, 47783, 8903, 506, 77188, 95455, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 4838, 657, 54260, 4944, 18415, 4, 220273, 4838, 145813, 710, 13845, 4944, 13845, 4, 2200, 165592, 220224, 123073, 7369, 7201, 26612, 506, 189623, 123073, 133519, 10339, 147713, 12483, 220224, 1470, 75230, 2702, 71804, 4944, 12483, 199145, 220224, 85465, 200117, 12483, 125523, 7243, 6235, 506, 40096, 137, 26612, 46590, 905, 1470, 54260, 1211, 155, 81414, 149364, 4, 2200, 36324, 220224, 21923, 5666, 29766, 220273, 7243, 6319, 54260, 1211, 874, 114436, 2819, 2200, 182261, 55242, 506, 12483, 220224, 36324, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 7243, 6319, 54260, 1211, 145813, 59929, 4, 220224, 657, 54260, 20315, 1211, 4151, 69355, 14856, 46244, 163139, 220224, 151614, 1982, 12483, 4852, 18167, 160238, 190135, 4, 220224, 364, 75230, 1982, 12483, 6, 68558, 3069, 7369, 27720, 46244, 12483, 36324, 8947, 3056, 4838, 6, 71804, 128083, 75230, 123073, 152848, 30109, 48904, 15307, 54260, 2882, 2200, 36324, 22753, 6319, 68558, 151614, 1982, 12483, 1751, 109636, 16932, 620, 91595, 73381, 39083, 8903, 1211, 5, 2200, 1470, 75230, 101608, 10676, 7038, 104149, 220224, 7746, 125523, 7265, 220224, 6093, 657, 54260, 20315, 1211, 2932, 171433, 29766, 4113, 4113, 125158, 30750, 506, 21106, 96986, 4, 2200, 220224, 51678, 7243, 151614, 1982, 12483, 17190, 1982, 12483, 7746, 1285, 46711, 75230, 16803, 186797, 6093, 183512, 2200, 10676, 657 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17645, 1982, 141943, 12483, 6, 181615, 3120, 4838, 67882, 51723, 15, 26612, 46590, 905, 119055, 10705, 1285, 67882, 24621, 68313, 6, 119859, 69106, 44917, 76216, 35596, 247, 163139, 8947, 3056, 7508, 6093, 10339, 21106, 564, 54260, 221895, 30109, 48904, 15307, 54260, 96986, 5, 92500, 7243, 6, 159696, 110317, 6, 226112, 98833, 564, 54260, 3069, 220224, 6093, 24012, 35189, 8903, 3131, 203749, 43178, 506, 54260, 2882, 1285, 241304, 2702, 195164, 93975, 4838, 33716, 163139, 36324, 75230, 1285, 30109, 48904, 15307, 54260, 2882, 119055, 77188, 10213, 506, 183512, 13845, 2882, 3120, 10069, 14856, 10069, 10918, 5666, 40697, 27702, 107829, 96986, 2200, 3120, 1285, 29434, 5, 9934, 75230, 2932, 133111, 26, 2702, 5, 2865, 48904, 107581, 30109, 48904, 39340, 21923, 43449, 59929, 4, 6, 59919, 1644, 9221, 12483, 10676, 6, 71577, 29060, 15907, 4, 83066, 1644, 12483, 7746, 1751, 119718, 26612, 4667, 2200, 55242, 506, 12483, 47783, 1470, 75230, 2702, 45521, 15529, 29771, 98833, 5, 292, 20632, 4, 1470, 75230, 1982, 874, 54260, 1211, 2442, 40096, 6319, 68558, 5332, 22426, 21292, 45223, 55823, 1211, 4, 292, 874, 54260, 1211, 7508, 40096, 3056, 4, 36324, 18225, 170479, 7746, 1285, 4269, 48904, 26394, 6, 170355, 4667, 7243, 36324, 75230, 1751, 57277, 24152, 6, 101470, 73784, 364, 23173, 26394, 1211, 5, 8947, 3056, 6, 57277, 16580, 4838, 3131, 159696, 25207, 30109, 48904, 15307, 54260, 2882, 4, 22753, 6428, 75230, 77188, 6, 57277, 16580, 6, 71804, 23405, 4, 22753, 3056, 6, 57277, 16580, 1751, 159696, 29025, 905, 10213, 85465, 47526, 12483, 4, 95298, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 4, 1470, 75230, 1982, 18225, 364, 15907, 7746, 29771, 1982, 4, 3056, 1285, 70695, 20260, 506, 54260, 2882, 4838, 364, 54260, 22849, 23173, 4113, 5, 199145, 6255, 119055, 39083, 2882, 6, 101328, 6235, 119718, 39083, 2882, 4, 119718, 39083, 2882, 220224, 1211, 36324, 1285, 168155, 1751, 25207, 165354, 56170, 4151, 4269, 171433, 29766, 4113, 4113, 170479, 7369, 29659, 6, 104378, 113889, 4667, 4151, 364, 54260, 1644, 17310, 4, 9747, 1285, 4231, 17310, 4113, 657, 54260, 2882, 15, 29771, 35189, 1470, 75230, 4667, 1285, 895, 16932, 4113, 657, 54260, 2882, 4, 238144, 1644, 220224, 151614, 1982, 12483, 22753, 1470, 75230, 4667, 21422, 2865, 32792, 123736, 23741, 247, 170479, 12483, 874, 151461, 151614, 1982, 12483, 3069, 8248, 4944, 12483, 1285, 6235, 28726, 8903, 5927, 54260, 2882, 56170, 4838, 9424, 238144, 16932, 132025, 105235, 4484, 17310, 5, 7201, 99766, 905, 21660, 186797, 7265, 4151, 564, 174798, 54260, 1982, 17310, 3120, 1285, 177157, 22426, 97634, 51723, 4, 163139, 17410, 18167, 49920, 7201, 29766, 506, 4113, 1982, 12483, 10676, 10339, 129071, 36324, 95455, 7369, 2932, 80885, 657, 54260, 20315, 2882, 7508, 6093, 70695, 20260, 6093, 123736, 23741, 7369, 29659, 2205, 4151, 6, 76776, 40920, 5, 564, 54260, 166464, 45521, 95064, 16803, 18225, 14856, 506, 90848, 35189, 119055, 76632, 61397, 6, 68558, 7746, 55242, 22849, 16803, 4, 220224, 186797, 10213, 36326, 23741, 176727, 7265, 221895, 24621, 110970, 12483, 2200, 6, 170355, 4944, 12483, 2819, 95298, 564, 54260, 6, 76776, 40920, 4, 2205, 4151, 119055, 23173, 710, 74813, 54260, 2882, 2200, 1982, 37016, 159696, 94790, 4944, 4484, 54260, 2882, 10339, 119718, 26, 2050, 564, 29060, 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 ]
[ 7265, 6, 47351, 123736, 48974, 47351, 199145, 3056, 1751, 75230, 1211, 3373, 54260, 119718, 710, 3373, 54260, 6, 61397, 54260, 56169, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 4, 22444, 23741, 95455, 43649, 54260, 6293, 159696, 25207, 1211, 35189, 69355, 6, 23173, 75230, 2702, 22518, 37016, 149010, 85596, 29025, 12483, 5, 10069, 30109, 48904, 39340, 6428, 23173, 55823, 1211, 7746, 7243, 1751, 25207, 165354, 119055, 12483, 220224, 55242, 506, 12483, 4838, 46711, 137377, 12483, 564, 137119, 6, 23173, 75230, 2702, 104378, 125523, 10676, 179096, 1211, 212484, 12483, 2819, 8947, 3056, 6, 75322, 39083, 6, 59929, 52480, 22426, 97634, 2050, 3120, 4151, 70695, 20260, 506, 54260, 2882, 5, 35189, 1470, 75230, 2702, 21066, 24244, 3120, 1470, 54260, 16932, 3056, 14856, 46244, 80885, 16667, 17824, 13159, 6093, 2205, 4151, 94626, 506, 4, 6, 238144, 1644, 200795, 16667, 6, 235210, 13845, 2882, 7746, 4151, 1470, 54260, 16932, 6, 68558, 2205, 7508, 6093, 112389, 2882, 4, 219947, 119055, 6093, 186797, 4838, 159696, 4484, 8903, 119718, 26612, 3131, 12483, 3120, 10676, 179096, 1211, 4, 2200, 9424, 238144, 18415, 16667, 6, 238144, 50853, 120467, 115825, 6093, 3056, 14856, 46244, 1470, 75230, 111137, 2442, 54260, 56169, 2205, 4151, 6, 76776, 40920, 5, 95766, 4838, 122868, 63593, 54260, 1211, 119055, 77188, 1285, 30109, 48904, 15307, 54260, 2882, 657, 54260, 4944, 16932, 6235, 8903, 1211, 4151, 29434, 710, 114082, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 16932, 119055, 29771, 4667, 4, 10213, 46464, 83182, 2702, 1470, 75230, 1982, 18225, 6319, 68558, 7746, 123736, 25559, 710, 96986, 2205, 8947, 12483, 4, 81414, 20260, 12483, 2200, 151614, 1982, 12483, 199145, 14856, 46244, 22444, 506, 4113, 4, 163139, 20033, 119055, 109316, 1211, 55242, 506, 12483, 564, 54260, 4151, 30750, 506, 183512, 1644, 17310, 5, 4151, 30109, 48904, 75290, 37826, 7243, 14856, 46244, 6319, 54260, 1211, 85596, 71945, 564, 54260, 2050, 119718, 59929, 6093, 212484, 12483, 4, 7369, 17288, 47332, 6, 68558, 3069, 151614, 1982, 12483, 22444, 506, 93975, 3523, 91595, 4, 7369, 17288, 47332, 7746, 68558, 3069, 10184, 54574, 12483, 2205, 182990, 1211, 216333, 5, 4151, 1470, 75230, 2702, 21066, 14088, 119055, 77188, 4838, 203326, 13845, 16629, 16932, 6093, 2200, 107776, 55242, 21295, 114436, 5, 1751, 109636, 16932, 45521, 93509, 119718, 710, 16747, 29060, 4151, 1470, 54260, 16932, 2205, 6, 119859, 57619, 12483, 564, 54260, 166464, 2200, 18225, 6319, 68558, 1470, 30682, 6, 104985, 55242, 506, 12483, 2205, 4151, 94626, 506, 4, 564, 54260, 2050, 1470, 75230, 135469, 20616, 1211, 5, 7265, 4151, 9424, 54260, 2882, 45521, 93509, 119718, 710, 16747, 29060, 7369, 2205, 119859, 57619, 12483, 4, 199145, 190859, 54260, 18415, 2882, 125523, 7243, 36324, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 1470, 75230, 2702, 8903, 506, 54260, 21295, 5, 18225, 6319, 68558, 10213, 236376, 12483, 10676, 10339, 21106, 56170, 4838, 4269, 171127, 93975, 1211, 4, 1470, 75230, 1982, 35189, 1470, 75230, 2702, 21066, 24244, 364, 77188, 2205, 6, 119859, 57619, 12483, 230764, 125523, 10184, 6093, 78278, 55242, 13805, 119055, 29771, 4944, 12483, 69355, 10676, 132025, 7201, 48904, 2932, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 2819, 55242, 46244, 123736, 23741, 6428, 75230, 77188, 7369, 24621, 46244 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15864, 5666, 4944, 2865, 39083, 4838, 46590, 905, 29434, 54260, 874, 232187, 2882, 84475, 657, 141847, 6093, 5, 104985, 7243, 76961, 10339, 109316, 9424, 54260, 8903, 1211, 1285, 1470, 75230, 1982, 12483, 1982, 174798, 16011, 65482, 177157, 22426, 97634, 51723, 2819, 55242, 46244, 123736, 23741, 3056, 1285, 30109, 48904, 15307, 54260, 2882, 6, 119859, 69106, 107189, 2442, 2200, 7508, 6093, 30109, 48904, 75290, 657, 54260, 20315, 2882, 4, 7265, 1470, 75230, 2702, 76776, 24621, 3120, 1470, 75230, 2702, 21066, 24244, 4, 220273, 7243, 6, 29766, 6093, 64699, 2932, 29766, 7243, 5, 168892, 40653, 23822, 54260, 1982, 7243, 119055, 12483, 6255, 10213, 506, 75230, 22426, 18415, 6, 47351, 14856, 46244, 80885, 16667, 4, 159696, 1211, 4838, 4269, 171433, 29766, 4113, 4113, 6428, 75230, 77188, 6, 71804, 23405, 4, 37826, 3131, 22753, 3056, 130170, 10213, 506, 183512, 1644, 17310, 4, 68313, 1285, 1751, 69127, 3120, 4151, 6, 59919, 1644, 141847, 6093, 17310, 4, 10676, 7508, 218241, 205416, 26, 2702, 5, 6, 35596, 159696, 2442, 6093, 6093, 6, 59919, 1644, 141847, 77188, 1285, 10213, 506, 183512, 1644, 17310, 4838, 1982, 30473, 40920, 32792, 84475, 37729, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 4, 4151, 112216, 10918, 35596, 657, 54260, 2648, 2882, 4151, 69355, 5, 8947, 3056, 95298, 55242, 46244, 123736, 23741, 10676, 25616, 48904, 165354, 16, 2702, 1751, 69127, 6, 21106, 54260, 1211, 4, 6, 238144, 1644, 44064, 130170, 4151, 5332, 46244, 7972, 4944, 82576, 10213, 506, 183512, 1644, 17310, 4, 3056, 7369, 1751, 159696, 2442, 84475, 2190, 5666, 190386, 18167, 1470, 75230, 2702, 8903, 506, 54260, 21295, 3069, 119055, 6093, 12483, 4, 2808, 75230, 1982, 7369, 364, 15907, 7243, 123736, 1982, 6235, 5666, 75230, 76961, 21776, 195054, 1211, 199145, 18225, 204982, 1470, 30682, 6, 68558, 2819, 92500, 95455, 6, 105515, 7369, 123736, 23741, 7243, 5, 177274, 5666, 7201, 21106, 2702, 7501, 6255, 40653, 8300, 54260, 98833, 36324, 4852, 54260, 1211, 6, 76776, 10813, 13159, 18640, 4484, 54260, 2882, 4, 9174, 64260, 3131, 22753, 3056, 55242, 46244, 1751, 16870, 32792, 4, 42542, 1470, 30682, 7243, 199511, 36324, 13845, 107581, 22518, 37016, 149010, 224220, 22426, 7972, 78683, 10918, 239162, 1211, 163139, 1285, 199145, 119055, 6093, 12483, 2865, 48904, 4944, 13159, 874, 39083, 6, 59919, 63864, 170355, 40920, 3120, 81444, 20911, 75230, 16847, 5, 59919, 506, 15907, 17310, 5, 292, 6, 59919, 87637, 96986, 1285, 30109, 48904, 25616, 54260, 2882, 7265, 162926, 506, 54260, 2882, 42542, 18225, 6, 104985, 4, 119055, 12483, 51723, 37826, 6319, 54260, 1211, 6, 59919, 39340, 46244, 7265, 116486, 73215, 2451, 34079, 185758, 18415, 84475, 6, 73215, 34079, 185758, 18415, 5, 2932, 171433, 29766, 4113, 4113, 88622, 29771, 75578, 2205, 1285, 141879, 6, 101328, 46244, 12483, 37826, 1285, 6, 23173, 24621, 4113, 2200, 1285, 874, 23173, 71512, 15, 5666, 54260, 119718, 710, 16, 69355, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 9424, 119718, 40697, 1211, 1285, 3373, 39083, 94741, 96986, 1470, 54260, 5666, 8903, 111684, 33716, 10339, 39083, 8903, 16747, 13159, 7265, 13845, 7746, 3069, 6, 59919, 87637, 96986, 3120, 4269, 171433, 29766, 4113, 4113, 152, 6, 47351, 2808, 54260, 110970, 80453, 31623, 17310, 3120, 4838, 657, 48350 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17310, 3120, 190, 116486, 8300, 35596, 4838, 48974, 9221, 39083, 2205, 119718, 59929, 6093, 5, 1285, 39293, 657, 48350, 17310, 42542, 148932, 6, 212484, 12483, 67882, 4944, 12483, 564, 54260, 2050, 6428, 90848, 2932, 34533, 2200, 4852, 1470, 54260, 5666, 2865, 39083, 1470, 54260, 110970, 80453, 31623, 12483, 9934, 29771, 7201, 99766, 125523, 10676, 6, 59919, 39340, 46244, 4, 3069, 6093, 29659, 101328, 4852, 186797, 21776, 2050, 179096, 1211, 5, 292, 1470, 75230, 1982, 18225, 42542, 7746, 230764, 10676, 6, 59919, 212484, 12483, 4, 238144, 2702, 6255, 7243, 2819, 8947, 3056, 125523, 3069, 40026, 506, 3069, 2190, 33716, 54260, 1644, 12483, 6, 159696, 8903, 1211, 10676, 6093, 7201, 39083, 2932, 3120, 10676, 7265, 13845, 5, 6255, 7501, 1470, 75230, 4667, 7243, 162926, 1470, 75230, 1982, 95455, 42542, 219947, 6, 75322, 39083, 220273, 1751, 93704, 12483, 4, 72308, 54260, 8300, 186797, 4838, 6235, 4852, 88917, 12483, 213909, 21106, 5, 15, 168892, 35189, 87311, 1211, 95455, 7265, 13845, 43449, 75230, 4852, 3069, 1644, 17645, 1982, 10339, 39083, 29659, 186797, 4484, 54260, 2882, 5, 16, 2865, 48904, 107581, 6235, 13458, 75230, 4944, 12483, 10676, 192183, 127731, 203232, 4, 84475, 4269, 50622, 22426, 90848, 710, 87442, 29766, 5, 7369, 165354, 95298, 874, 48904, 4944, 13159, 874, 39083, 6, 59919, 48775, 96986, 4, 6, 238144, 1644, 7369, 6, 89930, 2442, 54260, 16803, 7746, 123736, 23741, 95766, 21776, 2050, 46050, 147502, 12483, 6, 87311, 96302, 5, 30750, 506, 183512, 1644, 17310, 5, 292, 199145, 6, 48904, 69801, 48904, 98833, 1285, 10213, 506, 183512, 1644, 17310, 69355, 4151, 4838, 17494, 16932, 4269, 171433, 29766, 4113, 4113, 4, 37826, 1285, 14856, 10069, 10918, 5666, 40697, 116486, 55823, 21087, 68558, 6319, 54260, 1211, 23847, 75230, 2702, 12483, 160238, 48253, 166198, 6235, 101296, 40920, 2819, 54745, 1211, 8947, 3056, 78278, 182261, 7243, 29771, 6319, 54260, 1211, 60732, 14856, 10069, 10918, 207591, 7265, 13845, 199145, 170479, 1285, 30109, 48904, 15307, 54260, 2882, 1470, 75230, 51437, 54260, 1644, 12483, 5, 2200, 168892, 1470, 54260, 1644, 7746, 3069, 10213, 97634, 49008, 36324, 95455, 364, 54260, 16803, 7243, 36324, 1285, 30109, 48904, 15307, 54260, 2882, 68313, 2190, 5927, 54260, 22849, 23173, 2819, 3523, 54260, 1211, 4, 292, 22753, 3056, 364, 54260, 22849, 23173, 5, 6255, 6428, 135118, 15, 92500, 6255, 115518, 7243, 4151, 1470, 54260, 109985, 6093, 199145, 3056, 6, 130991, 3069, 10676, 6235, 94741, 20260, 37729, 4852, 54260, 1211, 7369, 7201, 26612, 46244, 23174, 247, 36324, 119055, 12483, 18225, 6, 212484, 2882, 95455, 115825, 2648, 72308, 77525, 6, 159696, 46244, 141943, 4151, 25616, 48904, 15307, 54260, 2882, 2200, 18225, 364, 15907, 7746, 123736, 1982, 2205, 221895, 10213, 32670, 109226, 4, 95455, 506, 54260, 16803, 6, 159696, 8903, 1211, 8947, 12483, 2200, 81414, 20260, 12483, 2200, 22444, 506, 4, 119055, 39083, 2882, 1285, 4269, 171433, 29766, 4113, 4113, 2205, 21106, 8903, 2865, 54260, 1211, 7243, 6235, 2648, 75230, 77188, 657, 141847, 6093, 163139, 130170, 7508, 6093, 10213, 506, 183512, 1644, 17310, 3120, 20315, 2050, 564, 13159, 96986, 2200, 5332, 46244, 7972, 40377, 96986, 1751, 109636, 10918, 21106, 34533, 4, 7265, 1285, 10213, 80885, 14856, 10069, 78683, 96302, 12483, 199145, 20033, 6, 59919, 87311, 8903, 1211, 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 ]
[ 2200, 6255, 22518, 54260, 1982, 95455, 7265, 10676, 99509, 12483, 30750, 119718, 10705, 16803, 4852, 54260, 1211, 6150, 95455, 3056, 6, 47351, 1470, 22426, 710, 195088, 850, 3120, 43649, 183512, 172060, 185226, 3120, 4151, 506, 54260, 13497, 161459, 14856, 10069, 10918, 1211, 2200, 6255, 6, 238144, 2702, 163139, 7916, 13845, 10184, 76776, 112690, 109316, 1211, 1751, 93704, 12483, 1285, 159696, 2442, 16932, 51678, 6, 199511, 20033, 2200, 221895, 81444, 20911, 75230, 16847, 2200, 163139, 7916, 13845, 51723, 119055, 29060, 205026, 132025, 3131, 13845, 96986, 4151, 7201, 23173, 5, 6255, 22518, 54260, 1982, 48494, 200117, 4, 6, 238144, 1644, 6255, 20315, 20260, 36324, 75230, 5, 2205, 4838, 117902, 2442, 1285, 150349, 172398, 6093, 448, 37826, 18225, 1751, 75230, 1211, 1470, 54260, 5666, 8903, 111684, 33716, 36324, 18225, 204982, 14856, 46244, 123073, 30109, 48904, 39340, 220273, 6319, 54260, 1211, 14856, 10069, 10918, 1211, 4, 7243, 21422, 131281, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 3131, 80453, 31623, 12483, 2200, 3523, 54260, 2882, 1470, 54260, 57619, 905, 101470, 4, 18225, 17190, 189583, 220224, 6, 104985, 199145, 3069, 13159, 12483, 5, 2205, 221895, 1285, 150349, 172398, 6093, 21292, 119055, 6093, 12483, 1285, 30109, 48904, 39340, 22518, 37016, 32792, 189098, 506, 183512, 13845, 2882, 2819, 18225, 67882, 40920, 220224, 6428, 99766, 55242, 46244, 123736, 23741, 30109, 48904, 75290, 5, 1470, 75230, 101608, 10676, 199145, 8947, 34072, 506, 12483, 2205, 4231, 65482, 7369, 16932, 2190, 57619, 20616, 7972, 8903, 29434, 5, 9934, 75230, 5666, 212915, 26, 2702, 4, 2205, 4151, 160238, 2050, 3120, 19302, 54260, 23269, 2200, 17824, 75230, 36419, 137, 22426, 90848, 7201, 13159, 29766, 12483, 2004, 119055, 63593, 172398, 1470, 54260, 109985, 6093, 9424, 159696, 4484, 2181, 3056, 3069, 45521, 164863, 23173, 12483, 1285, 1285, 150349, 172398, 89184, 22426, 215726, 13497, 12483, 3069, 7746, 2205, 123736, 131445, 5, 10069, 34654, 47332, 18640, 80885, 10213, 506, 183512, 1644, 17310, 2205, 1285, 6235, 159696, 506, 5666, 7972, 30750, 4, 219947, 224220, 22426, 7972, 138194, 18415, 5, 10339, 109316, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 220224, 1211, 7201, 39083, 8903, 152848, 12, 119055, 12483, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 1751, 57277, 24152, 4, 163139, 2181, 3056, 564, 174798, 16011, 12483, 6235, 119718, 29766, 12483, 2205, 178766, 4113, 40026, 506, 6093, 93975, 223229, 12483, 4, 119055, 12483, 18225, 37826, 23847, 75230, 36419, 85596, 29025, 12483, 6, 29060, 8300, 5, 4, 6, 159696, 22849, 46598, 364, 186955, 7243, 6, 68558, 14856, 46244, 163139, 6, 29060, 7972, 30750, 193012, 4, 170479, 18225, 6, 186461, 12483, 22444, 506, 18640, 2205, 564, 29060, 5, 1285, 4269, 48904, 26394, 9424, 54260, 2882, 163139, 7916, 13845, 2181, 3056, 81444, 1470, 75230, 2702, 21066, 14088, 170479, 18225, 55242, 46244, 6, 159696, 110317, 4838, 144532, 8903, 42023, 4, 18225, 4852, 39083, 2205, 4151, 32054, 54260, 6093, 9424, 54260, 2882, 6, 186461, 12483, 84475, 22753, 26394, 1211, 5, 18225, 170479, 1470, 75230, 114349, 54260, 20315, 1211, 74806, 1644, 91595, 149010, 1470, 75230, 22680, 4113, 2932, 17310, 5, 2181, 2205, 7243, 7369, 1644, 75230, 47332, 3069, 8947, 12483, 4484, 54260, 1211, 69529, 6235, 55823, 59919, 18415, 4, 1751, 23173, 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 ]
[ 4, 364, 23173, 30750, 145813, 54260, 4852, 4, 163139, 1470, 75230, 4667, 6319, 54260, 1211, 6235, 119718, 63188, 18415, 8947, 172398, 5, 18225, 6, 48775, 63020, 564, 48350, 29771, 83182, 2050, 1470, 75230, 7201, 22426, 59929, 12483, 230764, 10676, 29659, 15096, 240863, 4, 2200, 4, 119055, 12483, 3523, 75230, 15231, 2932, 4, 7746, 67882, 4944, 12483, 19302, 34533, 9221, 12483, 5, 6, 21106, 88660, 506, 39083, 40697, 8903, 23822, 135118, 4113, 2205, 148932, 160238, 2050, 15, 12890, 6093, 4, 6, 238144, 1211, 9915, 71577, 2702, 16, 2200, 14856, 10069, 10918, 16667, 2808, 54260, 57619, 905, 101470, 21923, 167048, 141847, 10339, 139365, 64260, 12483, 5, 119055, 59929, 6093, 6, 48775, 63020, 18225, 81414, 20260, 12483, 119718, 120467, 14856, 46244, 5, 80839, 40920, 12483, 21923, 72577, 73784, 8947, 12483, 5, 2205, 4838, 122868, 63593, 54260, 1211, 3056, 2181, 216333, 3069, 8947, 12483, 6, 159696, 110317, 5, 17190, 1982, 149010, 119055, 48904, 13159, 199145, 6, 73381, 16932, 5, 9424, 238144, 13982, 54260, 119055, 29771, 4944, 12483, 125523, 10676, 163139, 4151, 1470, 75230, 2702, 21066, 24244, 364, 77188, 230764, 4, 3056, 8947, 72577, 7746, 21422, 212484, 12483, 130170, 46464, 4944, 12483, 4, 9747, 1470, 75230, 2702, 13342, 8903, 7916, 49008, 163139, 6, 238144, 2882, 18225, 364, 186955, 1751, 75230, 1211, 144754, 4151, 30109, 48904, 15307, 54260, 2882, 2200, 9747, 3069, 10213, 29659, 710, 51723, 119055, 12483, 18225, 3056, 1470, 75230, 2702, 8903, 506, 54260, 21295, 5, 18225, 6, 94741, 63020, 7243, 45521, 95064, 2702, 12483, 36324, 4, 119055, 12483, 4151, 1470, 75230, 2702, 158853, 51437, 77188, 230764, 4, 3056, 1285, 30109, 48904, 15307, 54260, 2882, 125523, 7243, 6235, 506, 54260, 21295, 5, 95455, 3056, 119718, 710, 40920, 18640, 3069, 163139, 2702, 12483, 9213, 56170, 7746, 4, 9213, 56170, 220224, 1211, 21374, 217814, 161459, 32054, 75230, 4, 54745, 1211, 13159, 6, 94741, 63020, 7243, 220224, 1211, 7369, 1644, 75230, 47332, 130170, 4484, 54260, 23269, 101251, 105235, 16747, 12483, 3069, 364, 54260, 48775, 96986, 4, 1470, 54260, 6093, 18225, 3056, 162926, 10339, 39083, 29659, 186797, 1470, 75230, 2702, 2932, 171433, 29766, 4113, 4113, 128780, 5, 20616, 54260, 21295, 5, 292, 18225, 6, 94741, 63020, 123736, 25559, 710, 96986, 1285, 1470, 75230, 1982, 12483, 564, 174798, 16011, 114436, 4113, 195054, 1211, 4, 78278, 18225, 3056, 162926, 36324, 18225, 3056, 6235, 506, 54260, 21295, 5, 168892, 6, 238144, 2702, 36324, 2181, 21923, 55242, 1644, 96986, 1285, 199145, 43649, 109316, 1211, 7746, 3069, 211630, 12483, 7265, 215031, 10213, 506, 183512, 1644, 17310, 4, 564, 54260, 119055, 13845, 104238, 137, 51723, 6, 105515, 220273, 7243, 2004, 238144, 1644, 220224, 163139, 1644, 12483, 18225, 170479, 47783, 5332, 22426, 21292, 6, 80264, 4, 36324, 75230, 163139, 2181, 21923, 55242, 1644, 96986, 1285, 81444, 20911, 75230, 16847, 199145, 10213, 81371, 8903, 1211, 7746, 7265, 5332, 25605, 160751, 12483, 2200, 137, 34079, 12483, 155, 119718, 120467, 119055, 76632, 61397, 5, 13159, 21923, 81444, 10339, 109316, 564, 54260, 119055, 13845, 107581, 657, 54260, 4944, 18415, 1470, 54260, 110970, 80453, 31623, 109226, 7265, 2808, 54260, 5666, 7201, 26612, 4667, 6, 82576, 15350, 15533, 54196, 15, 8903, 88660, 40920, 16, 119055, 59929, 6093, 84475, 4838, 107189, 2442, 7508, 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 ]
[ 110317, 17310, 2702, 144754, 13845, 3056, 3523, 75230, 15231, 2932, 4, 95298, 95455, 65146, 10213, 29659, 710, 63532, 119055, 6093, 12483, 3120, 20315, 2050, 81444, 20911, 29766, 130170, 119055, 63593, 172398, 1470, 75230, 184537, 710, 40920, 18225, 6235, 7916, 13497, 7746, 5, 7916, 2932, 5, 11653, 36324, 75230, 55242, 506, 2882, 1470, 75230, 2702, 4838, 3523, 80453, 710, 89930, 15350, 132, 144754, 4838, 145813, 54260, 3120, 4269, 212484, 84475, 6, 78683, 18340, 183202, 16, 6, 159696, 8903, 1211, 2932, 171433, 29766, 4113, 4113, 5, 506, 15907, 7746, 56170, 1285, 119055, 10705, 83182, 2702, 199145, 874, 48904, 107581, 81444, 20911, 75230, 16847, 6, 225975, 12483, 13342, 38, 1285, 3069, 43649, 23173, 39340, 1751, 97634, 55823, 1211, 199145, 119055, 6093, 12483, 1470, 54260, 23405, 79238, 80453, 710, 56169, 564, 184855, 151227, 3069, 130170, 1982, 25207, 4944, 12483, 21776, 2050, 1470, 75230, 2702, 21066, 14088, 4, 21923, 1751, 16870, 32792, 5, 6255, 238144, 2702, 7243, 1470, 75230, 1982, 1285, 17824, 13159, 18415, 620, 26612, 40920, 2205, 4838, 6, 112353, 37826, 119055, 12483, 46598, 68313, 6235, 101296, 40920, 14856, 46244, 46050, 109636, 75386, 163139, 4, 2205, 4838, 122868, 63593, 54260, 1211, 4, 1285, 29434, 5, 9934, 75230, 2932, 101296, 66293, 95766, 1470, 54260, 1211, 6, 101328, 46244, 4, 2205, 4838, 17824, 75230, 101608, 43649, 142429, 2882, 4, 7265, 7508, 6093, 10213, 506, 183512, 1644, 17310, 3120, 2932, 171433, 29766, 4113, 4113, 711, 26612, 117902, 2442, 10213, 46685, 4484, 17310, 29789, 5, 292, 15864, 5666, 30750, 6, 59919, 159696, 13805, 1644, 12483, 1285, 6, 113889, 113889, 25207, 4113, 7265, 15857, 46590, 21292, 2200, 6428, 135118, 12483, 6150, 4269, 171433, 29766, 4113, 4113, 3056, 49920, 89184, 16932, 4, 81444, 2050, 364, 54260, 16803, 36324, 22753, 4231, 93509, 26, 29060, 7746, 5, 48494, 203232, 3056, 7243, 6, 120749, 18640, 5, 10069, 4269, 171433, 29766, 4113, 4113, 3056, 4838, 657, 218241, 21106, 4113, 30109, 48904, 15307, 54260, 2882, 2200, 7243, 6319, 54260, 1211, 4838, 122868, 63593, 54260, 23269, 141535, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 119718, 710, 1285, 15857, 46590, 21292, 4, 2200, 6235, 506, 2882, 6319, 54260, 1211, 874, 39083, 7243, 40653, 3069, 1285, 114955, 95766, 10676, 6, 109995, 3120, 6, 142673, 506, 5, 10069, 30109, 48904, 39340, 199145, 657, 54260, 20315, 1211, 3120, 4269, 171433, 29766, 4113, 4113, 6428, 23173, 55823, 1211, 7746, 364, 21106, 96986, 2442, 54260, 1211, 4, 7746, 72577, 119055, 26612, 3131, 12483, 1285, 364, 141943, 125523, 10676, 10213, 65606, 25207, 1211, 3120, 1285, 74806, 1644, 91595, 16803, 54260, 28726, 74, 220224, 170479, 12483, 620, 29771, 55823, 1211, 6, 21106, 54260, 1211, 2205, 4838, 564, 29060, 4, 84475, 159696, 1211, 220224, 21923, 6235, 8300, 119718, 2808, 109226, 3069, 16175, 54260, 1644, 12483, 95455, 564, 29060, 7265, 221895, 4, 9934, 29766, 1644, 12483, 220224, 9934, 29766, 8903, 1211, 36324, 220224, 6093, 34076, 9221, 170479, 220224, 1211, 72577, 4838, 144532, 8903, 119718, 125897, 21295, 2200, 4852, 39083, 7243, 6, 104378, 2205, 10213, 65606, 2442, 17310, 7265, 4151, 119055, 79238, 199145, 6, 65606, 33716, 6, 68558, 4852, 54260, 6093, 564, 29060, 135947, 5, 10069, 30109, 171433, 40697, 4269, 171433, 29766, 4113 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4113, 564, 54260, 2050, 6, 212915, 5, 292, 177157, 22426, 97634, 51723, 5, 2808, 75230, 1982, 1285, 4838, 17494, 18415, 4269, 171433, 29766, 4113, 4113, 37826, 7746, 42493, 6235, 506, 54260, 21295, 84475, 3056, 7511, 2882, 6235, 506, 54260, 21295, 6235, 119718, 29766, 12483, 4, 55242, 506, 2882, 18225, 56170, 4838, 657, 141847, 123073, 9424, 54260, 2882, 4838, 46711, 137377, 12483, 17824, 24295, 32792, 238144, 101608, 67882, 16932, 17645, 6, 23173, 75230, 2702, 104378, 2205, 4151, 40026, 506, 4, 564, 54260, 2050, 2808, 75230, 135469, 20616, 1211, 2819, 4151, 46711, 137377, 12483, 42542, 1470, 75230, 4667, 6, 23173, 75230, 2702, 104378, 2205, 221895, 8300, 54260, 96986, 4, 95298, 14856, 46244, 80885, 16667, 3056, 7369, 56170, 47351, 2205, 4151, 40026, 506, 4, 6, 113889, 133324, 46598, 119718, 710, 18225, 37826, 1470, 54260, 23405, 20616, 21106, 96986, 10676, 179096, 1211, 1285, 4269, 48904, 26394, 6, 76776, 40920, 5, 1285, 168155, 2808, 75230, 2702, 21066, 24244, 42542, 132025, 506, 21106, 96986, 14856, 46244, 123073, 73880, 84475, 6, 101328, 46244, 12483, 5, 1285, 25616, 48904, 15307, 54260, 2882, 42542, 220224, 1211, 2205, 21776, 2050, 45521, 35189, 105235, 1211, 20585, 3120, 26, 2050, 213909, 21106, 4, 3120, 35189, 34482, 29060, 506, 48775, 84475, 22753, 42542, 220224, 1211, 7508, 7682, 159696, 33716, 2702, 2205, 213909, 21106, 5, 2205, 1644, 21660, 96986, 10339, 21106, 55242, 506, 2882, 18225, 123736, 23741, 6319, 54260, 1211, 67882, 16932, 17645, 5, 18225, 42542, 130170, 3131, 54260, 20315, 1211, 119055, 10705, 1285, 30109, 48904, 15307, 54260, 2882, 6235, 7916, 13497, 7746, 37729, 4151, 58573, 29766, 4113, 3120, 1285, 8300, 238144, 34076, 48350, 6093, 5, 18225, 6, 212484, 2882, 10676, 179096, 1211, 3069, 6093, 29659, 2205, 1470, 54260, 1211, 4269, 212484, 2200, 94741, 1211, 2205, 47833, 4838, 83182, 4269, 212484, 2819, 1470, 75230, 1982, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 6, 104985, 160238, 35596, 4, 159696, 2882, 4151, 184639, 179096, 1211, 220224, 1211, 81414, 1982, 2200, 4151, 9424, 238144, 16932, 19302, 29766, 2808, 75230, 1982, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 6, 104985, 7508, 7682, 159696, 33716, 2702, 3056, 7508, 6093, 9424, 238144, 16932, 179096, 1211, 65848, 1982, 2200, 7508, 6093, 184639, 19302, 29766, 5, 9747, 1470, 75230, 2702, 13342, 8903, 7916, 49008, 1470, 75230, 1982, 1285, 25616, 48904, 15307, 54260, 2882, 3056, 40653, 506, 75230, 22426, 2882, 4838, 4269, 171433, 29766, 4113, 4113, 4, 65146, 18225, 10213, 236376, 12483, 20315, 2050, 179096, 1211, 2819, 14856, 46244, 123073, 874, 39083, 6235, 7511, 13497, 8947, 1470, 30682, 3069, 10213, 236376, 12483, 144754, 10676, 1470, 75230, 2932, 2819, 119055, 12483, 3523, 75230, 15231, 2932, 1285, 45521, 30979, 199145, 6235, 7916, 49008, 7746, 2205, 2808, 30682, 4, 2200, 1285, 67882, 16932, 17645, 84475, 6, 57277, 39340, 10676, 179096, 1211, 4, 130170, 46464, 4944, 12483, 7265, 20315, 2050, 6, 134067, 90848, 95564, 137377, 4, 84475, 10676, 213909, 21106, 4, 7265, 224252, 15529, 96302, 12483, 5, 221895, 177157, 22426, 97634, 51723, 3120, 30109, 171433, 152185, 4269, 171433, 29766, 4113, 4113, 4, 199145, 51678, 220224, 1211, 4, 95298, 2932, 171433, 29766, 4113, 4113, 133826, 11556, 104149, 42493, 220224, 1211, 4, 21923, 152, 34482, 45619, 25207, 1211, 3069, 123736, 23741 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 47351, 2190, 76776, 23405, 65482, 56417, 6235, 111684, 2442, 564, 54260, 2050, 132025, 7201, 48904, 2932, 84475, 564, 54260, 2050, 5332, 152848, 3120, 34482, 45619, 25207, 1211, 4, 4838, 55242, 46244, 657, 54260, 40920, 12483, 85596, 71945, 3120, 9424, 54260, 2882, 3069, 9424, 54260, 2882, 2205, 213909, 21106, 84475, 2205, 1285, 6235, 8903, 16747, 12483, 23173, 14088, 1285, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 5, 1285, 39293, 177157, 22426, 97634, 51723, 51678, 95298, 220273, 104378, 3120, 221895, 30109, 48904, 15307, 54260, 96986, 84475, 123736, 42023, 6319, 54260, 1211, 69529, 30109, 48904, 15307, 54260, 2882, 4, 1982, 54260, 874, 114436, 199145, 21776, 8903, 1211, 7746, 3069, 7916, 13845, 230764, 74806, 1644, 91595, 32792, 5, 2200, 40653, 506, 75230, 22426, 2882, 3056, 8947, 163139, 40920, 18640, 3069, 10213, 97634, 49008, 36324, 3373, 26, 68313, 55242, 46244, 657, 54260, 40920, 7746, 1470, 54260, 5666, 72631, 16870, 12483, 4838, 30109, 54260, 20260, 37729, 874, 48904, 107581, 163139, 24152, 149010, 84475, 1470, 54260, 5666, 8903, 44693, 25207, 18415, 8903, 111684, 1644, 12483, 2205, 2200, 4838, 68550, 1285, 73095, 13805, 905, 109316, 6, 29766, 119859, 49008, 5, 1285, 199145, 51678, 42493, 20315, 20260, 12483, 6, 48775, 10918, 232187, 1644, 4, 1285, 199145, 17806, 165354, 3069, 7916, 13845, 230764, 7746, 4, 1285, 199145, 364, 21106, 96986, 29659, 186797, 2205, 1470, 54260, 1211, 21422, 16932, 12483, 56170, 7746, 2200, 34076, 75230, 1982, 12483, 36324, 220224, 657, 54260, 20315, 1211, 2205, 21106, 7611, 199145, 220224, 17190, 104149, 2200, 49920, 12483, 4, 1285, 137, 25616, 171433, 40697, 9934, 29766, 61397, 2702, 2004, 1285, 137, 4484, 90848, 29171, 119718, 29766, 12415, 93497, 2004, 364, 21106, 96986, 7746, 6319, 54260, 1211, 874, 39083, 56170, 6235, 4852, 88917, 84475, 6235, 506, 54260, 21295, 2200, 159696, 25207, 1211, 4838, 657, 54260, 4944, 16932, 120202, 59919, 56170, 1285, 1751, 119718, 710, 152848, 50853, 29771, 20911, 75230, 16847, 5, 2865, 48904, 107581, 4231, 17310, 4113, 657, 54260, 2882, 199145, 151614, 1982, 12483, 42493, 6319, 54260, 1211, 10213, 68566, 6293, 3120, 10676, 130170, 16629, 2648, 9424, 119718, 40697, 1211, 133190, 2865, 21106, 12483, 2200, 42493, 133190, 2865, 21106, 12483, 179096, 1211, 4, 17806, 165354, 230764, 4852, 54260, 6093, 179096, 1211, 2200, 364, 21106, 96986, 1470, 30682, 56170, 70695, 20260, 4, 3496, 64260, 3131, 95455, 199145, 220224, 39293, 506, 12483, 4151, 8580, 3056, 163139, 8947, 6, 94741, 63020, 3069, 220224, 1211, 5, 2808, 75230, 1982, 8947, 3056, 45521, 16803, 190135, 6150, 18225, 657, 54260, 2648, 2882, 3120, 4838, 30109, 171433, 152185, 2932, 171433, 29766, 4113, 4113, 4, 4838, 46590, 905, 119055, 12483, 3373, 26, 68313, 42493, 29771, 6319, 54260, 1211, 69529, 1470, 75230, 2702, 21066, 24244, 3120, 67882, 16932, 17645, 4, 119718, 710, 8947, 6, 186145, 23741, 7746, 123736, 23741, 4, 292, 170479, 18225, 42493, 364, 54260, 48775, 96986, 4, 6, 238144, 1644, 18225, 42542, 4484, 48775, 20260, 67882, 4944, 12483, 1285, 32054, 75230, 5, 119718, 120467, 6, 48904, 69801, 48904, 98833, 1285, 10213, 506, 183512, 1644, 17310, 4, 3056, 22753, 45521, 93509, 88945, 1211, 125523, 21776, 2050, 7201, 21106, 5, 18225, 6, 94741, 63020, 7746, 42493, 6, 59919, 212484, 12483, 230764, 133519, 199145, 6, 225975, 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 ]
[ 36324, 137, 4852, 54260, 85465, 200117, 12483, 7369, 7201, 26612, 46244, 17310, 155, 2819, 1470, 75230, 4667, 42493, 230764, 6, 47351, 4838, 204403, 18415, 75290, 199145, 163139, 1644, 59919, 4484, 75230, 55823, 1211, 220224, 1211, 3373, 42695, 506, 2200, 3056, 2190, 5666, 119718, 21292, 141943, 6, 159696, 8903, 1211, 4151, 30109, 48904, 15307, 54260, 2882, 4, 2808, 75230, 4667, 42493, 230764, 81444, 20911, 75230, 16847, 199145, 6, 23173, 159696, 33716, 54260, 104149, 7746, 84475, 199145, 225975, 12483, 3069, 3523, 189989, 5, 3069, 6319, 54260, 1211, 88771, 26, 4113, 4, 221067, 4, 1751, 109636, 10918, 21106, 34533, 12483, 51678, 6, 148222, 68697, 54260, 16932, 42493, 6235, 506, 12483, 4, 6, 238144, 1644, 8947, 6, 88660, 16803, 3069, 16175, 54260, 6093, 7746, 564, 54260, 220224, 3069, 30750, 506, 183512, 1644, 12483, 2819, 1470, 75230, 1982, 220224, 51678, 4, 170479, 12483, 220224, 95455, 6, 80264, 5, 45521, 95064, 16803, 42493, 54595, 6319, 54260, 1211, 88771, 26, 6093, 1751, 109636, 10918, 21106, 34533, 6, 93704, 159696, 33716, 54260, 4852, 2882, 7746, 6319, 54260, 1211, 874, 39083, 42493, 2205, 4484, 54260, 1211, 9424, 54260, 2882, 17310, 5, 6235, 159696, 506, 5666, 149010, 4, 10213, 3131, 54260, 2648, 65482, 4, 4838, 122868, 63593, 54260, 23269, 6, 80453, 129071, 123329, 119718, 120467, 6, 101470, 7746, 130170, 1470, 54260, 4667, 3069, 10213, 506, 183512, 1644, 12483, 4, 95298, 199145, 6, 225975, 12483, 43900, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 2808, 54260, 4667, 220273, 42493, 3069, 4, 51678, 160751, 12483, 4838, 221067, 10213, 506, 183512, 1644, 17310, 4, 6428, 99766, 119055, 10705, 51723, 42542, 42493, 6235, 506, 12483, 3069, 1211, 4838, 145813, 21660, 137218, 7972, 40920, 5, 6255, 7501, 40653, 8300, 54260, 98833, 36324, 39293, 46244, 123736, 23741, 6428, 75230, 77188, 1285, 30109, 48904, 15307, 54260, 2882, 6, 71804, 23405, 37729, 3069, 7916, 13845, 10213, 74, 48904, 2442, 1644, 17310, 4, 874, 48904, 4944, 2865, 39083, 37729, 10676, 199145, 4151, 81444, 20911, 29766, 163139, 1644, 101470, 14856, 46244, 6235, 50853, 3120, 10676, 112216, 10918, 35596, 12483, 4, 874, 48904, 4944, 2865, 39083, 7265, 4151, 10213, 82576, 4838, 1982, 30473, 40920, 4, 4838, 46590, 905, 123736, 42023, 6235, 50853, 4, 6428, 135118, 186797, 36324, 199145, 14856, 46244, 18225, 6, 159696, 103955, 506, 183512, 1644, 12483, 4, 95455, 216333, 119055, 29060, 8947, 220224, 1211, 5, 1285, 4269, 171433, 29766, 4113, 4113, 3056, 215031, 25616, 48904, 15307, 54260, 2882, 199145, 42542, 7746, 123736, 23741, 55242, 46244, 657, 54260, 40920, 364, 54260, 1644, 12483, 4, 95298, 123736, 23741, 17160, 54260, 47332, 22753, 1470, 54260, 5666, 8903, 119718, 63864, 26394, 21295, 199145, 18225, 170479, 42493, 6, 80264, 4, 163139, 5332, 46244, 32792, 4, 119718, 710, 6, 159696, 110317, 84475, 163139, 10184, 13845, 18225, 170479, 42493, 10676, 112216, 10918, 35596, 12483, 10213, 85465, 47526, 12483, 5, 1285, 364, 75230, 22426, 2882, 170355, 4667, 3056, 1285, 1470, 75230, 7201, 111684, 2442, 17310, 3120, 10676, 70695, 20260, 12483, 2819, 1470, 75230, 75578, 364, 15907, 7746, 123736, 1982, 163139, 8947, 6, 94741, 63020, 3069, 220224, 1211, 4, 42542, 7369, 14856, 46244, 80885, 16667, 6235, 506, 54260, 21295, 159696, 25207, 1211, 123736, 42023, 6319 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 1211, 19767, 10213, 506, 183512, 1644, 17310, 3120, 26612, 81444, 20911, 29766, 5, 6, 21106, 88660, 506, 39083, 40697, 6235, 23822, 135118, 4113, 15, 238144, 1211, 4, 564, 63188, 4, 9721, 171433, 55823, 1211, 247, 45521, 59919, 4, 1751, 23173, 55823, 4, 364, 23173, 30750, 4, 6235, 55823, 59919, 18415, 145813, 54260, 104149, 4, 6235, 4852, 54260, 77188, 79238, 22426, 54260, 104149, 4, 55242, 5666, 6293, 15, 87311, 16803, 23173, 2442, 247, 21776, 2882, 18167, 4, 8947, 18640, 4, 6, 168104, 109316, 4, 5332, 18415, 5, 4, 21923, 26612, 1982, 2702, 39083, 36609, 10339, 139365, 64260, 12483, 5, 46654, 54260, 3131, 2200, 10184, 3131, 4, 2200, 8248, 109636, 1211, 3120, 220224, 4, 68313, 216333, 1470, 75230, 2702, 13342, 2865, 54260, 20315, 1211, 5, 18225, 6, 94741, 63020, 199145, 14856, 46244, 22444, 506, 4, 199145, 119055, 76632, 61397, 6235, 506, 12483, 5, 6, 63188, 12483, 166464, 4838, 17190, 1982, 149010, 119055, 48904, 4113, 5, 8947, 12483, 80839, 40920, 2205, 72577, 74, 2808, 75230, 4667, 81414, 20260, 12483, 4838, 3373, 4667, 119055, 59929, 6093, 5, 45521, 70598, 54260, 20315, 1211, 73095, 13805, 905, 109316, 1211, 6, 59919, 39340, 46244, 2200, 10069, 6235, 39293, 1644, 95494, 23741, 3120, 32054, 75230, 12483, 2819, 45521, 70598, 54260, 25207, 1211, 76961, 2702, 199145, 42542, 1470, 75230, 22680, 4113, 8903, 1211, 74806, 1644, 91595, 32792, 5, 199145, 6, 48904, 30750, 186145, 23741, 1285, 657, 218241, 21106, 4113, 10213, 506, 183512, 1644, 33104, 5666, 144754, 216450, 905, 96302, 12483, 6, 29766, 6093, 7265, 1470, 54260, 110970, 80453, 31623, 109226, 3120, 17190, 119718, 183216, 7265, 24621, 10069, 78683, 96302, 12483, 4, 3056, 95455, 42493, 2205, 177274, 1211, 10339, 21106, 3523, 75230, 15231, 2932, 5, 14856, 10069, 78683, 96302, 12483, 1470, 54260, 57619, 905, 101470, 21923, 6319, 54260, 1211, 874, 39083, 42493, 3523, 75230, 15231, 2932, 2819, 18225, 42542, 7746, 95766, 6, 119859, 57619, 12483, 123736, 42023, 220224, 10213, 8903, 506, 12483, 5, 95766, 82977, 6, 101328, 24152, 42542, 6, 47351, 4838, 68697, 54260, 16932, 4, 199145, 37826, 42493, 6319, 54260, 1211, 6, 195054, 127731, 75230, 2702, 8903, 7916, 49008, 1470, 75230, 1982, 7369, 37826, 4838, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 4, 6, 119859, 69106, 2190, 112304, 34533, 4, 564, 54260, 2050, 191795, 159870, 123736, 6293, 45223, 23093, 4, 63902, 3373, 216510, 215412, 4, 6, 68550, 2248, 418, 4, 87311, 13497, 64567, 4, 7265, 119718, 29771, 4667, 6, 29766, 6093, 32054, 54260, 97634, 2932, 9424, 119718, 40697, 1211, 116, 2200, 201, 6, 113889, 4944, 9719, 97634, 2932, 84475, 2442, 171127, 29771, 2932, 4, 81444, 23269, 112956, 84475, 65307, 9424, 119718, 40697, 1211, 483, 2200, 534, 160238, 9719, 97634, 2932, 2819, 51723, 119055, 29060, 220224, 160751, 12483, 4838, 32054, 54260, 4113, 2200, 192183, 7916, 20315, 112690, 109316, 5332, 8632, 4, 95298, 6319, 54260, 1211, 30750, 506, 183512, 1644, 17310, 5, 56170, 564, 55049, 79981, 2200, 6319, 119718, 100810, 3056, 56170, 47351, 1285, 191795, 159870, 123736, 6293, 506, 13845, 23093, 65902, 29171, 3120, 387, 29434, 710, 18415, 5332, 159696, 96951, 4, 564, 55049, 79981, 2819, 177274, 1211, 166464, 3120, 2932, 171433, 29766, 4113, 4113, 2592, 2947, 78278, 534, 160238, 9719 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 97634, 2932, 2200, 6428, 171127, 18640, 2200, 32054, 54260, 97634, 2932, 4838, 1982, 141943, 3120, 382, 78278, 3569, 113889, 4667, 6, 75322, 39083, 4, 292, 710, 172312, 151614, 1982, 12483, 1470, 54260, 35189, 18225, 3056, 162926, 36324, 18225, 68313, 1470, 75230, 2702, 8903, 506, 54260, 21295, 4, 3056, 4838, 24012, 35189, 23822, 91595, 18640, 10339, 139365, 25207, 4944, 12483, 5, 130170, 6319, 54260, 1211, 60732, 101251, 105235, 16747, 12483, 170479, 18225, 95455, 42493, 6, 80264, 711, 9213, 46244, 119055, 29060, 23165, 49920, 12483, 4151, 26394, 54574, 12483, 36324, 874, 114436, 7265, 4838, 162926, 6093, 30109, 171433, 152185, 4269, 171433, 29766, 4113, 109316, 1982, 12483, 7265, 220224, 123073, 32054, 75230, 12483, 6, 101328, 46244, 12483, 71804, 23405, 2200, 6, 105235, 165354, 220224, 42493, 6, 68558, 2819, 2648, 120467, 3056, 88771, 4, 3496, 64260, 3131, 18225, 6, 238144, 16803, 42493, 9213, 46685, 1470, 75230, 1982, 1285, 32054, 75230, 119055, 29060, 7511, 2882, 1751, 109636, 16932, 6319, 48775, 20260, 119055, 6093, 12483, 2819, 3373, 26, 68313, 88771, 36324, 4838, 3373, 4667, 10339, 109316, 3120, 14081, 16932, 4269, 171433, 29766, 4113, 4113, 21923, 42493, 132025, 105235, 39340, 16747, 4, 95298, 123736, 23741, 2865, 39083, 119055, 6093, 12483, 165592, 13845, 107581, 10339, 109316, 162726, 21660, 32792, 132025, 105235, 39340, 16747, 5, 18225, 42542, 42493, 163139, 2702, 12483, 711, 2932, 171433, 29766, 4113, 4113, 2205, 21776, 20911, 14088, 5, 292, 95455, 3056, 4838, 3069, 29659, 183512, 199145, 42542, 4944, 107182, 6, 104985, 160238, 104378, 564, 54260, 14856, 110970, 12483, 7265, 119055, 13845, 107581, 18225, 37826, 74806, 1644, 91595, 149010, 1211, 6, 59919, 39340, 46244, 2205, 21776, 20911, 14088, 4, 564, 54260, 32054, 75230, 12483, 2200, 4231, 17310, 44779, 4, 55242, 21295, 114436, 1982, 54260, 895, 16932, 4113, 874, 114436, 5, 1285, 10213, 506, 183512, 1644, 17310, 10213, 105235, 506, 2882, 2205, 22444, 506, 4, 6, 120749, 93975, 10069, 4113, 18415, 4, 220224, 30750, 35189, 4, 1470, 54260, 110970, 80453, 31623, 109226, 5, 88660, 2865, 22426, 105330, 215726, 2702, 3120, 4269, 171433, 29766, 4113, 4113, 5, 292, 6, 35596, 10918, 16747, 17310, 3120, 4151, 80453, 120467, 57277, 57277, 4, 4838, 174763, 84475, 30109, 171433, 13456, 5, 177157, 22426, 97634, 51723, 12, 6235, 111684, 1644, 69355, 1751, 159696, 24152, 54260, 2882, 2200, 6428, 55049, 16175, 17645, 6293, 2205, 10213, 165354, 84475, 2205, 21776, 20911, 14088, 2819, 2865, 48904, 4944, 2865, 39083, 10498, 6093, 8580, 564, 54260, 4151, 7369, 37016, 10918, 68558, 15, 29659, 54260, 6293, 119055, 6093, 12483, 3120, 6, 109636, 99611, 247, 73906, 15231, 8903, 117902, 12666, 10918, 239162, 1211, 4, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 564, 54260, 2050, 34482, 45619, 25207, 1211, 2819, 55242, 1644, 96986, 35596, 119718, 125897, 21295, 7746, 6, 47351, 4838, 1982, 2702, 26394, 2702, 2205, 4151, 116486, 2702, 57277, 57277, 5, 292, 10213, 506, 183512, 1644, 17310, 12, 10213, 186145, 506, 4, 6319, 21106, 18415, 2190, 14857, 147713, 12483, 7508, 7682, 159696, 33716, 2702, 3120, 1285, 32887, 175483, 1644, 12483, 2819, 4838, 3373, 4667, 119055, 59929, 6093, 81414, 20260, 12483, 4, 10339, 59929, 96986, 84475, 43449, 75230, 4852, 7544, 66317, 4, 119055, 23173, 24621, 84475, 6319, 21106, 18415, 22753, 7611, 30750, 35189 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 564, 54260, 162926, 12483, 4838, 1982, 2702, 26394, 2702, 874, 48904, 4944, 2865, 39083, 364, 54260, 36419, 6319, 40096, 71577, 1644, 59929, 51723, 2819, 119055, 23173, 24621, 19302, 34533, 9221, 12483, 4, 6319, 54260, 23269, 34482, 29060, 506, 48775, 28726, 2808, 54260, 110970, 80453, 31623, 109226, 2819, 2205, 10339, 21106, 3120, 4838, 1982, 2702, 26394, 2702, 42542, 8947, 6, 75322, 39083, 3523, 75230, 15231, 2932, 220224, 1211, 13342, 120202, 6093, 9221, 12483, 5, 95455, 3056, 76961, 2702, 564, 54260, 4838, 17494, 16932, 116486, 16803, 40096, 710, 92178, 2819, 564, 54260, 25616, 171433, 152185, 116486, 16803, 40096, 710, 92178, 3056, 1285, 10213, 506, 183512, 1644, 17310, 6, 20616, 5666, 32792, 3069, 4151, 3120, 25616, 171433, 152185, 4269, 171433, 29766, 4113, 4113, 2819, 874, 59929, 165592, 3131, 3120, 4151, 116486, 2702, 57277, 57277, 4, 7265, 10676, 223390, 6093, 37729, 10676, 21776, 20911, 14088, 4, 42542, 6, 75322, 39083, 3523, 75230, 15231, 2932, 220224, 1211, 4, 95298, 55242, 1644, 96986, 2819, 104985, 182261, 119055, 77188, 95455, 3069, 123736, 23741, 6235, 13458, 75230, 40920, 2200, 55242, 46244, 10184, 109316, 101251, 46464, 80885, 92500, 1751, 159696, 2442, 45521, 17800, 29766, 4113, 159696, 18415, 81444, 71804, 69452, 119055, 6093, 12483, 4838, 159696, 4484, 8903, 8903, 1982, 12483, 6681, 1285, 39293, 10705, 5666, 7511, 8300, 149010, 4, 874, 232187, 96986, 71804, 23405, 6428, 75230, 6093, 186797, 4113, 874, 59929, 165592, 3131, 12483, 711, 152837, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 10069, 564, 212484, 4, 119055, 10705, 4151, 179096, 1211, 6235, 7916, 13497, 7746, 56170, 220224, 1211, 6, 23173, 75230, 2702, 8903, 42023, 37729, 7508, 6093, 34482, 29060, 506, 48775, 4, 42542, 6, 75322, 39083, 6319, 48775, 20260, 119055, 6093, 12483, 7265, 4269, 171433, 29766, 4113, 4113, 4, 92605, 36609, 84475, 30109, 171433, 13456, 5, 20033, 119055, 109316, 1211, 1285, 39293, 224220, 22426, 7972, 78683, 10918, 68558, 81444, 42493, 1982, 174798, 54260, 1982, 12483, 4, 6, 238144, 1644, 22753, 3056, 55242, 46244, 55242, 1644, 96986, 2819, 119055, 12483, 22753, 107776, 160238, 4, 3056, 22753, 4944, 107182, 47783, 45521, 70380, 170355, 40920, 37729, 2190, 5666, 120749, 93975, 10213, 506, 183512, 1644, 17310, 5, 2808, 75230, 4667, 1285, 6, 235210, 12483, 130929, 4852, 44779, 51678, 6319, 48775, 20260, 119055, 6093, 12483, 4838, 75386, 26612, 10339, 39083, 8903, 3120, 4269, 171433, 29766, 4113, 4113, 5, 1285, 10213, 506, 48904, 2442, 1644, 17310, 3056, 163139, 564, 54260, 116486, 16803, 40096, 710, 92178, 5, 26612, 163139, 40920, 93975, 2200, 657, 54260, 35189, 123736, 23741, 4113, 6, 59919, 119718, 7682, 1644, 17310, 3120, 4269, 171433, 29766, 4113, 4113, 2205, 10069, 6, 35596, 10918, 16747, 17310, 3120, 1285, 32887, 175483, 1644, 12483, 2200, 3120, 10676, 5332, 22426, 69031, 10069, 189098, 5, 10069, 30109, 48904, 15307, 54260, 96986, 119055, 6093, 12483, 132025, 61397, 25046, 12483, 6, 29766, 16580, 92178, 2200, 5332, 22426, 59195, 710, 9719, 92178, 5, 220224, 6, 104378, 14856, 46244, 80885, 16667, 160238, 4838, 2050, 132025, 7201, 48904, 2932, 3120, 35189, 4838, 17494, 16932, 4269, 171433, 29766, 4113, 4113, 5, 34482, 170355, 4944, 12483, 152, 200795, 16667, 6, 57277, 39340, 1285, 4269, 171433, 29766, 4113, 4113, 14081, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 4, 119055, 12483, 22753, 3056, 55242, 46244, 1751, 57277, 24152, 4, 55242, 46244, 17288, 23741, 18640, 2819, 95298, 123736, 23741, 1470, 75230, 4667, 13342, 43649, 23173, 39340, 4, 7508, 54260, 26394, 152848, 1470, 54260, 110970, 80453, 31623, 109226, 3069, 40026, 506, 4, 1285, 14856, 10069, 78683, 96302, 12483, 119718, 120467, 18225, 235466, 1470, 54260, 1211, 4, 74806, 1644, 91595, 149010, 1470, 75230, 22680, 4113, 2932, 17310, 4, 3069, 7916, 13845, 6235, 506, 12483, 4, 2882, 159696, 2442, 4838, 68697, 54260, 96986, 2205, 7508, 6093, 9424, 54260, 2882, 3120, 26, 2050, 4838, 17494, 96986, 4838, 155341, 32097, 3120, 6, 113889, 113889, 25207, 4113, 4, 13342, 7916, 13845, 10213, 506, 183512, 1644, 17310, 7265, 224252, 15529, 96302, 12483, 5, 177157, 22426, 97634, 51723, 12, 23847, 75230, 101608, 119055, 20616, 97634, 2932, 2205, 10676, 32887, 13805, 46545, 13845, 4, 43649, 23173, 39340, 1751, 159696, 1644, 17310, 2200, 7508, 75230, 2882, 17310, 3120, 34654, 104149, 123736, 48974, 47351, 2200, 3120, 23050, 1982, 12483, 506, 29766, 12483, 4, 10184, 75578, 7265, 76961, 220224, 23269, 7201, 39083, 8903, 4, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 3069, 6235, 506, 12483, 2819, 874, 48904, 4944, 2865, 39083, 163825, 29060, 7746, 6, 47351, 4838, 1982, 2702, 26394, 2702, 2205, 32887, 175483, 13845, 5, 10213, 506, 183512, 1644, 17310, 12, 10339, 39083, 2882, 2882, 186797, 6093, 77525, 2205, 564, 29060, 4, 10339, 59929, 96986, 4, 119055, 59929, 6093, 81414, 20260, 12483, 4, 1751, 109636, 16932, 4, 1285, 10069, 4113, 18415, 163139, 564, 54260, 4269, 171433, 29766, 4113, 4113, 2819, 95455, 30109, 48904, 39340, 123736, 48974, 47351, 1054, 39083, 220224, 1211, 1470, 75230, 111137, 506, 26612, 183216, 2205, 4838, 6, 56052, 564, 54260, 18415, 1644, 15, 202075, 109636, 16667, 29766, 710, 16, 564, 54260, 2050, 6235, 506, 12483, 2819, 564, 54260, 2050, 6, 186461, 12483, 2205, 564, 29060, 170479, 8947, 22444, 506, 12483, 230764, 4838, 364, 183512, 2882, 31212, 199145, 18225, 167048, 87442, 2808, 75230, 2702, 40653, 1285, 6, 131445, 2200, 199145, 18225, 564, 73381, 119273, 176727, 7508, 7682, 159696, 33716, 2702, 7265, 4852, 88680, 506, 54260, 125830, 113889, 55546, 12483, 2819, 224220, 80453, 13159, 12483, 2819, 6319, 54260, 23269, 1470, 54260, 110970, 80453, 31623, 109226, 5, 39293, 46244, 55242, 1644, 96986, 3056, 6, 47351, 120202, 6093, 26612, 10918, 68558, 3523, 75230, 15231, 2932, 5, 35596, 10918, 16747, 109226, 2200, 4838, 1982, 2702, 26394, 2702, 12483, 199145, 163825, 12483, 7746, 4838, 75386, 10339, 39083, 8903, 3120, 2932, 171433, 29766, 4113, 4113, 230764, 10676, 6, 109636, 99611, 4, 2205, 4151, 160238, 506, 75230, 2882, 4, 2205, 4151, 1285, 4667, 4, 119055, 6093, 12483, 30750, 506, 183512, 13845, 2882, 125523, 10676, 10339, 21106, 2200, 125523, 4838, 122868, 63593, 54260, 23269, 6, 123131, 103182, 40697, 21776, 21847, 12483, 2648, 120467, 39293, 1644, 30750, 3056, 1470, 75230, 4667, 4151, 10339, 21106, 564, 54260, 4151, 22518, 37016, 149010, 2442, 6, 35596, 10918, 16747, 17310, 3120, 10069, 1470, 75230, 8903, 1211, 199145, 18225, 46050, 98833, 6, 75322, 39083, 37729, 10213, 65606, 25207, 1211, 1285, 1470, 75230, 8903, 1211, 7265, 2932, 171433, 29766, 4113, 4113, 139662, 10069, 364, 141943, 4, 119055, 12483, 220224, 21923, 10213, 101080, 56169, 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 ]
[ 1470, 54260, 16932, 3120, 26, 2050, 115825, 2648, 5, 1285, 39293, 2808, 75230, 8903, 1211, 35596, 10918, 16747, 109226, 9424, 54260, 8903, 1211, 36324, 18225, 6, 94741, 63020, 7746, 364, 21106, 96986, 2205, 4838, 122868, 63593, 54260, 1211, 7508, 54260, 1211, 2200, 10213, 46464, 83182, 2702, 1285, 364, 141943, 4, 119055, 12483, 18225, 37826, 4838, 4269, 171433, 29766, 4113, 4113, 5, 10069, 3373, 65848, 109421, 3056, 4838, 45521, 189623, 61397, 17310, 3120, 10676, 34482, 23093, 48775, 63849, 208048, 17410, 8580, 1470, 54260, 1211, 6, 172060, 185226, 84475, 2205, 14856, 46244, 123073, 6, 172060, 20260, 96986, 84475, 230764, 4838, 657, 141847, 123073, 29659, 25207, 39340, 5, 34482, 170355, 30750, 5, 14856, 46244, 80885, 16667, 4838, 30109, 171433, 40697, 4, 6, 71804, 23405, 6428, 75230, 6093, 186797, 4113, 4269, 171433, 29766, 4113, 4113, 15, 2648, 120467, 190859, 54260, 2882, 42493, 36324, 2205, 177274, 1211, 10339, 21106, 3120, 215031, 56052, 4269, 171433, 29766, 4113, 4113, 65146, 10339, 39083, 8903, 1211, 4838, 3373, 65848, 109421, 5, 16, 874, 48904, 4944, 2865, 39083, 119055, 77188, 22753, 45521, 70380, 170355, 40920, 3120, 6, 119859, 69106, 43649, 23173, 39340, 14856, 10069, 78683, 96302, 12483, 4, 199145, 81444, 20911, 75230, 16847, 160751, 12483, 144754, 21776, 2050, 9424, 159696, 4484, 123736, 1982, 13342, 108209, 26394, 1211, 4, 137, 29771, 1982, 13342, 3131, 5666, 54260, 20315, 1211, 155, 1285, 30109, 48904, 15307, 54260, 2882, 4, 119055, 13845, 4944, 13159, 2205, 6319, 54260, 1211, 874, 39083, 6319, 54260, 1211, 7369, 7201, 39083, 2932, 5, 177157, 22426, 97634, 51723, 12, 10498, 6093, 8580, 4, 13458, 171428, 4, 18225, 34482, 24295, 54196, 6, 29766, 6093, 18225, 163139, 5666, 29659, 3069, 34482, 45619, 25207, 1211, 6, 73381, 16932, 163139, 8903, 159696, 506, 5666, 32792, 4, 4838, 6235, 119718, 710, 36419, 6, 192539, 17310, 2205, 10676, 1751, 226112, 2050, 3120, 26, 2050, 179096, 1211, 564, 54260, 4852, 54260, 1211, 6, 23173, 75230, 2702, 104378, 2819, 6, 104985, 95455, 364, 75230, 22426, 125830, 52480, 22426, 97634, 2050, 3056, 4231, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 3069, 6, 212484, 12483, 95455, 119055, 59929, 6093, 4, 119055, 13845, 107581, 7916, 2932, 5, 29620, 12498, 292, 6, 78683, 23093, 4113, 16932, 15, 2808, 75230, 1982, 12483, 247, 564, 22151, 7511, 15, 10705, 13497, 12483, 194, 7916, 2932, 5, 12511, 292, 58573, 21106, 65482, 3373, 183512, 12483, 5, 159696, 33716, 43649, 23173, 75290, 7265, 10676, 64769, 61397, 159696, 25207, 1211, 3120, 10676, 213909, 21106, 2819, 4838, 75386, 4838, 7201, 39083, 8903, 3120, 1285, 168155, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 4, 42542, 42493, 4151, 179096, 1211, 2205, 6, 119859, 57619, 12483, 23173, 75230, 2702, 2200, 1470, 16175, 54260, 1644, 43449, 54260, 47332, 123736, 23741, 98252, 2205, 4151, 564, 212484, 4, 119055, 13845, 4944, 13159, 42542, 85465, 200117, 12483, 6, 238144, 16932, 4113, 620, 91595, 4113, 10339, 39083, 8903, 1211, 4, 163139, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 4838, 30109, 48904, 25616, 54260, 2882, 3120, 4151, 564, 212484, 5, 1285, 3373, 65848, 109421, 6, 35596, 119718, 125897, 21295, 7746, 6235, 159696, 506, 5666, 32792, 71804, 23405, 170355, 2050, 2819, 9213, 46244, 6, 35596, 119718, 7682, 1644, 17310, 78278, 18225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 170479, 4151, 111684, 1644, 12483, 1285, 1751, 119718, 710, 129150, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 215206, 4484, 54260, 2882, 2205, 34482, 45619, 25207, 1211, 4, 42542, 6, 101470, 874, 232187, 96986, 84475, 6, 101328, 46244, 12483, 4, 44064, 963, 84475, 387, 6, 101328, 46244, 2819, 95455, 364, 54260, 16803, 22753, 42542, 6, 104378, 119055, 12483, 1285, 4269, 171433, 29766, 4113, 4113, 68313, 1751, 75230, 1211, 3120, 6, 71804, 23405, 45521, 93509, 119718, 10705, 16747, 12483, 5, 18225, 6235, 7916, 13497, 1470, 75230, 2702, 1470, 75230, 1982, 3373, 26, 68313, 7201, 23173, 47351, 4838, 3373, 65848, 109421, 37729, 6235, 119718, 710, 36419, 224252, 15529, 96302, 12483, 4, 199145, 18225, 22444, 23741, 2702, 171433, 20315, 1211, 84475, 564, 22151, 16629, 4944, 4, 119055, 13845, 107581, 21923, 3120, 58573, 21106, 84475, 69355, 364, 21106, 25559, 23173, 96986, 6, 78683, 36609, 183202, 5, 15, 10069, 1470, 75230, 12890, 8903, 177157, 22426, 97634, 51723, 6, 21106, 54260, 1211, 21923, 42493, 6235, 110317, 141943, 9747, 3069, 67882, 4944, 12483, 4838, 1285, 26612, 2932, 113889, 175483, 4, 6, 238144, 1644, 220224, 51678, 2808, 75230, 4667, 160238, 104378, 564, 54260, 221895, 3069, 105235, 16747, 12483, 5, 16, 1470, 75230, 4667, 4838, 6, 78683, 23093, 6093, 75578, 42542, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 2819, 95455, 3056, 6, 47351, 224252, 15529, 96302, 7265, 6, 92605, 208048, 1644, 22639, 4113, 159696, 110317, 2200, 7265, 9424, 238144, 6, 73381, 43178, 109226, 4, 37729, 119055, 13845, 4944, 12483, 4151, 179096, 1211, 42542, 6, 23173, 75230, 2702, 104378, 4, 1470, 75230, 1982, 18225, 9721, 141847, 2882, 95455, 224252, 15529, 96302, 6, 23173, 54260, 1211, 95766, 4151, 564, 212484, 5, 2200, 6, 57277, 39340, 1285, 39293, 1644, 30750, 224252, 15529, 96302, 12483, 4, 40653, 506, 75230, 22426, 2882, 58573, 21106, 65482, 10339, 171433, 20315, 1211, 4, 119055, 6093, 12483, 132025, 8903, 159696, 16747, 29060, 2205, 4151, 10213, 506, 183512, 1644, 17310, 3120, 34575, 710, 109421, 5, 1285, 10213, 506, 183512, 1644, 17310, 3056, 4838, 6, 71804, 23405, 6428, 75230, 6093, 186797, 4113, 2200, 65146, 6235, 101296, 40920, 119055, 6093, 12483, 3120, 4838, 55242, 46244, 6235, 14004, 1982, 16932, 364, 104274, 4, 1285, 224252, 15529, 96302, 12483, 11556, 104149, 220224, 1211, 17288, 4944, 16803, 9934, 75230, 75578, 4, 72577, 1470, 75230, 2702, 8903, 88660, 40920, 2200, 34076, 40096, 5, 292, 120202, 6093, 26612, 29789, 239162, 1211, 6235, 8903, 1211, 3373, 65848, 109421, 7038, 104149, 6, 75322, 39083, 6235, 101296, 40920, 119055, 6093, 12483, 4, 6, 104985, 55242, 506, 68959, 13845, 96986, 5, 88660, 2865, 22426, 105330, 215726, 2702, 199145, 6, 199511, 7265, 7746, 4838, 364, 23173, 7611, 25616, 48904, 15307, 54260, 97634, 35189, 36324, 13845, 107581, 30109, 48904, 15307, 54260, 96986, 163139, 21776, 73136, 40096, 78653, 21923, 42493, 10213, 119718, 710, 104149, 2200, 110856, 12666, 1470, 75230, 1982, 1285, 10213, 506, 75230, 22426, 2882, 109226, 6, 159696, 8903, 1211, 220224, 6093, 6, 37016, 30473, 80885, 69106, 21923, 6, 120749, 18640, 4, 21923, 220224, 55242, 1644, 96986, 2200, 20033, 51678, 7746, 1470, 54260, 110970, 22426, 29766, 12483, 3069, 22518, 54260, 1982, 12483, 6, 159696, 8903, 1211, 220224, 5, 3131 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119718, 710, 47526, 12483, 3120, 81444, 20911, 75230, 16847, 152, 10213, 506, 183512, 1644, 17310, 4838, 75386, 4269, 171433, 29766, 4113, 73381, 2884, 6, 47351, 1470, 75230, 2702, 21066, 24244, 3120, 620, 54260, 2050, 199145, 107776, 3120, 1470, 75230, 22680, 4113, 2932, 17310, 2819, 1470, 54260, 50856, 16870, 12483, 10676, 30109, 48904, 165354, 36324, 4838, 42493, 4269, 171433, 29766, 4113, 2808, 152185, 6319, 40096, 23173, 3056, 4269, 171433, 29766, 4113, 4113, 2819, 10705, 5666, 5666, 75230, 15231, 8903, 10213, 506, 183512, 1644, 17310, 3120, 4838, 6235, 506, 54260, 1644, 16932, 4269, 171433, 29766, 4113, 4113, 2819, 10213, 506, 183512, 1644, 17310, 69355, 6, 47351, 1470, 54260, 5666, 8903, 44693, 25207, 16932, 3373, 65848, 109421, 84475, 116486, 16803, 40096, 710, 92178, 4, 5332, 15231, 5, 2932, 171433, 29766, 4113, 4113, 564, 54260, 4151, 32054, 75230, 5, 292, 34482, 170355, 107581, 152, 132025, 105235, 4484, 17310, 37729, 59919, 39340, 46244, 7265, 4838, 6, 212915, 5, 15, 1982, 54260, 4151, 6235, 28726, 8903, 5927, 54260, 2882, 163139, 1644, 6255, 10213, 46685, 165354, 54595, 4269, 171433, 29766, 4113, 4113, 3056, 132025, 15907, 37016, 141943, 56170, 3373, 54260, 6, 159696, 51723, 4, 163139, 6235, 4852, 88917, 18225, 170479, 4852, 171433, 16803, 42493, 220224, 1211, 2200, 163139, 11211, 25222, 161829, 18225, 170479, 42493, 17190, 1982, 12483, 5, 16, 1285, 70695, 5666, 52671, 54260, 2882, 42542, 220224, 1211, 4838, 3373, 4667, 1751, 159696, 2442, 6093, 163139, 564, 54260, 2050, 6, 212915, 4, 6, 238144, 1644, 1285, 32054, 75230, 12483, 29766, 119859, 2932, 171433, 29766, 4113, 4113, 564, 54260, 6, 148346, 2442, 75230, 12483, 758, 38, 418, 49008, 21923, 14856, 46244, 1470, 75230, 2702, 8903, 3131, 80453, 54260, 2882, 2200, 21923, 2205, 45521, 111996, 16747, 17310, 7265, 4151, 1982, 54260, 14325, 13845, 5, 1285, 4269, 171433, 29766, 4113, 4113, 42542, 220224, 1211, 2205, 4151, 34482, 29060, 506, 48775, 4, 2205, 4151, 119718, 133574, 119718, 26612, 4, 2205, 4151, 1751, 54260, 20315, 4, 2205, 4151, 6235, 75578, 11556, 16932, 4, 2205, 34654, 4838, 144532, 93975, 13982, 710, 104149, 2819, 22753, 42542, 7746, 160238, 2882, 39293, 26394, 1211, 2205, 6, 47351, 221895, 2442, 160238, 2050, 2205, 1285, 104855, 12483, 4, 2205, 1285, 1470, 54260, 6093, 105235, 4484, 2200, 2205, 4151, 564, 75230, 25559, 13845, 5, 119055, 12483, 1285, 70695, 20260, 506, 54260, 2882, 3056, 2205, 4151, 34482, 29060, 506, 48775, 4, 21923, 1285, 177157, 22426, 97634, 51723, 1470, 17310, 73381, 20616, 38054, 15533, 13845, 30750, 163139, 564, 54260, 2050, 6, 212915, 4, 4151, 88680, 3056, 42493, 3523, 75230, 15231, 2932, 1285, 564, 174798, 54260, 1982, 17310, 3069, 119718, 88945, 17800, 39083, 12483, 2819, 10498, 6093, 8580, 564, 54260, 2050, 34482, 45619, 25207, 1211, 2819, 1751, 159696, 1644, 17310, 7508, 75230, 2882, 17310, 2205, 35189, 6, 73381, 43178, 17310, 3120, 4151, 34482, 29060, 506, 48775, 2819, 1470, 75230, 2702, 21066, 14088, 3120, 67882, 16932, 17645, 4, 3120, 39293, 22849, 16803, 84475, 564, 54260, 4838, 657, 54260, 40920, 12483, 6428, 55049, 2819, 37729, 130170, 4852, 18340, 17310, 130170, 20315, 2050, 6, 134067, 90848, 95564, 137377, 6235, 7916, 13497, 18225, 10676, 4269, 171433, 218241, 218241, 81050, 4, 10676, 7544, 58679, 200117, 3120, 35189, 4269, 171433 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29766, 4113, 4113, 5, 1751, 109636, 16932, 119055, 77188, 4151, 3069, 29659, 183512, 657, 54260, 4944, 16932, 2200, 18225, 165354, 43449, 75230, 4852, 55242, 506, 12483, 36324, 4151, 179096, 1211, 3056, 81414, 1982, 2200, 99509, 7265, 45521, 30979, 2819, 39293, 46244, 123736, 23741, 364, 77188, 7265, 4151, 9424, 54260, 2882, 1285, 30109, 48904, 15307, 54260, 2882, 230764, 3069, 220224, 1211, 132025, 15907, 37016, 141943, 56170, 10676, 6, 212915, 4, 3496, 64260, 3131, 199145, 22753, 3056, 125523, 42493, 6235, 506, 54260, 21295, 564, 54260, 35189, 32054, 75230, 5, 6, 226112, 131762, 46598, 65146, 1285, 32054, 75230, 7746, 55242, 46244, 123736, 25559, 710, 96986, 3120, 6, 59919, 39340, 46244, 12483, 7265, 4838, 6, 212915, 78278, 22753, 3056, 42493, 6235, 506, 54260, 21295, 4, 6, 238144, 1644, 22753, 42542, 42493, 163139, 2702, 12483, 163139, 132025, 105235, 39340, 16747, 9213, 46244, 30109, 48904, 15307, 54260, 2882, 3056, 5, 1470, 17310, 73381, 20616, 2442, 1285, 39293, 22849, 13159, 52480, 22426, 97634, 51723, 21923, 56170, 47351, 564, 54260, 4151, 4269, 171433, 29766, 4113, 4113, 3120, 4151, 119055, 133574, 119718, 26612, 2200, 69355, 4151, 1751, 54260, 20315, 5, 2205, 34654, 104149, 141879, 1211, 123736, 48974, 47351, 3056, 22753, 1751, 75230, 1211, 21422, 2865, 32792, 1751, 159696, 68959, 18167, 3069, 364, 54260, 1644, 12483, 2819, 95298, 119055, 12483, 22753, 6235, 506, 2882, 6, 23173, 88680, 1285, 1751, 159696, 1644, 3120, 4151, 8903, 75578, 11556, 16932, 3056, 4838, 364, 54260, 1644, 17310, 84475, 2190, 5666, 190386, 18167, 84475, 55242, 46244, 1751, 159696, 2442, 5, 14004, 73375, 8903, 16667, 119055, 77188, 64699, 47783, 1285, 4269, 171433, 29766, 4113, 4113, 2205, 7508, 6093, 6235, 75578, 11556, 16932, 4, 95766, 1285, 16175, 75230, 12483, 4, 2205, 1285, 1470, 54260, 6093, 105235, 4484, 2200, 2205, 1285, 4838, 144532, 93975, 6235, 159696, 1982, 12483, 10705, 2865, 8903, 119718, 183512, 13845, 2882, 2205, 4838, 30109, 171433, 152185, 30109, 48904, 15307, 54260, 2882, 4, 119055, 13845, 107581, 130170, 3131, 54260, 20315, 2882, 7746, 6, 159696, 110317, 3120, 221895, 4, 42493, 2932, 171433, 29766, 4113, 2808, 54260, 4113, 6, 35596, 10918, 16747, 109226, 3120, 10069, 39293, 6, 29766, 119859, 49008, 5, 4151, 88680, 119055, 29060, 1285, 564, 174798, 54260, 1982, 17310, 3120, 4151, 4269, 171433, 29766, 4113, 73381, 2884, 1285, 39293, 6, 29766, 119859, 49008, 4838, 2050, 564, 13159, 96986, 6235, 101296, 40920, 119055, 6093, 12483, 564, 54260, 4151, 6235, 28726, 8903, 5927, 54260, 2882, 3120, 4151, 564, 174798, 54260, 1982, 17310, 3120, 1285, 30109, 48904, 15307, 54260, 96986, 3120, 32054, 75230, 12483, 29766, 119859, 49008, 4, 17537, 6, 183512, 93497, 874, 39083, 5, 292, 10213, 85465, 47526, 17310, 3120, 4151, 4269, 171433, 29766, 4113, 4113, 2205, 4151, 34482, 29060, 506, 48775, 4, 2205, 4151, 119055, 133574, 119718, 26612, 4, 2205, 4151, 874, 54260, 20315, 4, 1470, 17310, 73381, 20616, 2442, 163139, 564, 54260, 2050, 212915, 26, 2050, 4269, 171433, 29766, 4113, 4113, 152, 22444, 506, 4, 1285, 4113, 18415, 4, 6319, 54260, 1211, 6, 59919, 39340, 46244, 4, 6319, 54260, 23269, 74806, 1644, 91595, 7972, 30750, 1470, 75230, 22680, 4113, 2932, 17310, 4, 10213, 35189, 5, 1470, 54260, 110970, 80453, 31623, 109226, 2200, 657, 218241, 21106, 4113, 10213 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 183512, 130681, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 1644, 17310, 4, 125523, 10676, 10339, 21106, 2819, 95455, 6, 94741, 63020, 4151, 81444, 20911, 29766, 6, 35596, 54260, 88945, 1211, 2200, 97594, 144581, 104238, 238144, 39293, 21923, 7243, 29771, 6319, 54260, 1211, 137, 3131, 119718, 710, 152848, 50853, 29771, 20911, 75230, 16847, 1751, 109636, 10918, 21106, 34533, 12483, 155, 56170, 32054, 75230, 12483, 199145, 170479, 12483, 7746, 6, 93704, 159696, 33716, 54260, 104149, 2205, 1285, 9424, 54260, 2882, 109226, 2200, 230764, 1285, 14856, 46244, 80885, 3120, 1285, 1751, 109636, 10918, 21106, 34533, 12483, 56170, 32054, 75230, 12483, 4, 7511, 2882, 230764, 76961, 4, 42542, 18225, 7746, 6, 59919, 212484, 12483, 5, 2932, 171433, 29766, 4113, 4113, 564, 54260, 19302, 54260, 23269, 874, 54260, 20315, 44779, 5, 292, 123736, 23741, 564, 54260, 6, 119859, 49209, 19302, 54260, 23269, 16580, 83182, 4, 564, 54260, 564, 54260, 203326, 5, 34482, 170355, 107581, 152, 63259, 7611, 4, 22639, 55823, 4484, 10918, 68558, 37729, 10676, 119718, 120467, 4151, 119718, 92605, 2702, 65482, 15, 2865, 114436, 2200, 32054, 75230, 12483, 16, 10213, 65606, 25207, 1211, 10676, 192544, 26, 2702, 8903, 31249, 91595, 16803, 54260, 1644, 12483, 4, 132025, 105235, 4484, 17310, 37729, 4151, 67882, 51723, 4, 37729, 4151, 5960, 4, 103854, 90284, 57277, 28726, 4, 10213, 73215, 21106, 40697, 874, 114436, 199145, 1751, 141943, 12483, 1285, 114955, 84475, 75578, 5594, 25207, 1211, 43449, 75230, 4852, 10676, 21374, 50856, 26, 2702, 119055, 133574, 119718, 26612, 7265, 220224, 6093, 6319, 48775, 20260, 115825, 2648, 5, 657, 54260, 35189, 6235, 155697, 2882, 95455, 6, 73381, 16932, 163139, 18225, 54745, 185226, 5, 67882, 195164, 112216, 16803, 2808, 75230, 6293, 38, 292, 10213, 506, 183512, 1644, 17310, 125523, 10676, 10339, 21106, 4, 6235, 159696, 506, 5666, 32792, 7265, 119055, 26612, 3131, 109226, 4, 1470, 54260, 110970, 80453, 31623, 109226, 2200, 36324, 75230, 6, 238144, 16932, 5, 18225, 6, 94741, 63020, 151614, 1982, 12483, 4838, 6235, 119718, 710, 36419, 7369, 7201, 26612, 46244, 17310, 9747, 1285, 39293, 10339, 109316, 6, 120749, 18640, 3069, 10213, 506, 183512, 1644, 12483, 5, 82576, 15350, 131044, 5, 292, 1470, 54260, 23269, 3120, 1285, 34482, 170355, 4944, 12483, 3120, 6, 82576, 15350, 131044, 4, 69355, 2190, 5666, 190386, 710, 4944, 4484, 54260, 2882, 3069, 151614, 1982, 12483, 114955, 4, 3056, 1285, 4269, 171433, 29766, 4113, 4113, 5, 564, 54260, 2050, 6, 212915, 165354, 4838, 30109, 171433, 152185, 10339, 21106, 123736, 56703, 119718, 26612, 4944, 12483, 34654, 6, 218872, 68558, 3120, 10676, 6, 59919, 39340, 46244, 4, 159696, 1644, 4944, 13159, 42542, 6235, 506, 12483, 78278, 3069, 107020, 204403, 18415, 69106, 2819, 95298, 95455, 3056, 55242, 1644, 96986, 5, 159696, 1211, 1285, 32887, 175483, 1644, 12483, 4, 1285, 23050, 1982, 12483, 506, 29766, 12483, 84475, 1285, 6, 235210, 12483, 130929, 4852, 44779, 119055, 6093, 12483, 6319, 48775, 20260, 4838, 75386, 4838, 224220, 22426, 105330, 215726, 3120, 4269, 171433, 29766, 4113, 4113, 42542, 220224, 6093, 6, 218872, 68558, 39293, 46244, 74806, 16932, 2882, 119055, 6093, 12483, 2200, 1285, 3373, 149364, 101296, 42542, 119055, 6093, 12483, 45521, 93509, 119718, 10705, 16747, 12483, 29771, 35189, 22753 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42542, 220224, 1211, 42493, 113889, 70598, 21106, 5, 1285, 32054, 75230, 119055, 77188, 6, 82576, 15350, 874, 54260, 80885, 16667, 103854, 4838, 30109, 48904, 15307, 54260, 2882, 3120, 4151, 6235, 75578, 11556, 16932, 5, 2200, 36324, 75230, 163139, 14856, 46244, 69355, 36225, 3120, 76961, 32054, 75230, 12483, 15, 7511, 2882, 116486, 73215, 34079, 185758, 18415, 16, 151614, 1982, 12483, 4269, 171433, 29766, 4113, 4113, 84475, 10339, 39083, 8903, 1211, 4151, 69355, 4, 6319, 35596, 9213, 46244, 7746, 160238, 105235, 1644, 12483, 119718, 120467, 7508, 120467, 190859, 54260, 2882, 5, 3373, 26, 68313, 42493, 40653, 65848, 1982, 12483, 119055, 12483, 1285, 48706, 40096, 710, 175483, 225975, 2882, 36324, 6, 170265, 3120, 76961, 48706, 89184, 28726, 364, 54260, 48775, 96986, 119055, 6093, 12483, 45521, 70380, 170355, 40920, 37729, 2932, 171433, 29766, 4113, 4113, 5, 3120, 16503, 32054, 75230, 12483, 7265, 4269, 171433, 29766, 4113, 4113, 4, 199145, 18225, 37826, 10213, 29771, 1982, 26612, 40920, 29060, 4, 21923, 7218, 6235, 159696, 1211, 10339, 39083, 29659, 186797, 6, 82576, 15350, 4, 1285, 9213, 73375, 8903, 2789, 151614, 1982, 12483, 21106, 4113, 3069, 235210, 12483, 6235, 506, 40096, 5606, 114955, 5, 92500, 182261, 4, 125523, 76961, 1285, 39293, 7369, 21733, 6093, 109226, 4, 119055, 13845, 107581, 21923, 220273, 42493, 7201, 39083, 29659, 186797, 4, 6, 238144, 1644, 220224, 21923, 81444, 4667, 42493, 6681, 81444, 20911, 75230, 16847, 4, 292, 182261, 238144, 75578, 1751, 48904, 75290, 128497, 159696, 1211, 9213, 46244, 6, 238144, 16803, 199145, 4838, 4269, 171433, 29766, 4113, 4113, 42542, 1470, 75230, 23741, 2884, 4, 292, 119055, 29060, 14004, 46244, 4, 874, 114436, 199145, 17190, 104149, 1285, 39293, 119055, 6093, 16932, 4, 125523, 6235, 506, 12483, 3069, 116486, 73215, 34079, 185758, 18415, 705, 35189, 6, 238144, 104238, 1751, 48904, 75290, 15, 95494, 20260, 90848, 15435, 16, 35189, 6, 238144, 104238, 1751, 48904, 75290, 3056, 4838, 119055, 10705, 16747, 4, 4838, 74806, 119718, 9221, 4, 199145, 163825, 29060, 4852, 18167, 230764, 1285, 29434, 75230, 2702, 186797, 4113, 16175, 54260, 1644, 12483, 3120, 1285, 73095, 13805, 905, 109316, 6, 29766, 119859, 49008, 4, 55242, 1644, 96986, 230764, 6, 47351, 4838, 83182, 6, 99766, 4, 2200, 199145, 107776, 14856, 46244, 80885, 16667, 37729, 4151, 74806, 1644, 91595, 149010, 2442, 10213, 65606, 2442, 17310, 7265, 4838, 6, 149364, 4852, 68558, 199145, 37826, 54745, 2865, 39293, 22849, 12483, 1751, 48904, 75290, 5, 95298, 7369, 42542, 1470, 75230, 4667, 6, 104378, 4, 3496, 64260, 3131, 55242, 21295, 114436, 4, 123736, 42023, 132025, 105235, 4484, 17310, 84475, 123736, 42023, 73095, 13805, 905, 109316, 1211, 6, 59919, 39340, 46244, 5, 2205, 1285, 104149, 141879, 1211, 10339, 21106, 68313, 7369, 4, 6, 59919, 105235, 506, 2882, 7746, 4, 7243, 6319, 54260, 1211, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 5, 36324, 7511, 2882, 36419, 13805, 25603, 44478, 6, 238144, 104238, 1751, 48904, 75290, 3056, 178748, 32792, 4, 6, 238144, 2702, 12483, 20033, 42493, 17160, 75230, 4852, 3120, 1470, 54260, 2932, 114436, 7369, 7201, 26612, 46244, 17310, 4, 6, 104985, 1470, 75230, 4667, 3120, 1285, 10213, 506, 75230, 22426, 2882, 109226, 3120, 2808, 75230, 205416, 12483, 3120, 14856, 10069, 10918, 5666, 40697, 12023, 104238, 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 ]
[ 8947, 1751, 54260, 13497, 36324, 4151, 6, 238144, 104238, 3131, 48904, 75290, 119055, 77188, 45521, 70380, 170355, 40920, 3120, 63259, 7611, 84475, 132025, 105235, 4484, 17310, 114349, 174121, 12415, 21106, 199145, 6235, 506, 2882, 6, 23173, 54260, 1211, 2205, 4151, 364, 75230, 2882, 3120, 34654, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 37729, 21733, 54260, 23269, 123736, 13458, 54260, 1982, 109226, 3120, 4151, 364, 75230, 2882, 5, 35189, 6, 238144, 104238, 1751, 48904, 75290, 3056, 4838, 657, 218241, 21106, 4113, 4, 42493, 6319, 54260, 1211, 4838, 122868, 63593, 54260, 23269, 30109, 48904, 15307, 54260, 2882, 4, 95455, 364, 54260, 16803, 7369, 6, 35596, 119718, 125897, 21295, 7746, 230764, 34654, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 2200, 163825, 29060, 874, 48904, 4944, 2865, 39083, 1751, 159696, 1644, 109226, 84475, 4838, 1982, 2702, 26394, 2702, 12483, 15, 2865, 14540, 16, 2205, 4151, 1285, 4667, 4, 95298, 7369, 67882, 40920, 42493, 6319, 48775, 20260, 95455, 4269, 48904, 26394, 73906, 2882, 4, 10676, 6, 119859, 57619, 12483, 6, 75290, 149364, 5, 95455, 3056, 2205, 6235, 8903, 5666, 170355, 7611, 3069, 10676, 6, 225975, 43178, 84577, 12483, 364, 23173, 96986, 84475, 15857, 7916, 69181, 40697, 1211, 1751, 48904, 75290, 4, 119055, 13845, 104238, 3056, 4151, 171433, 506, 75230, 1982, 3120, 4151, 4838, 122868, 63593, 54260, 59461, 4, 192183, 73215, 34079, 10918, 239162, 44478, 4, 564, 137119, 25616, 48904, 15307, 54260, 2882, 4, 10069, 15857, 46590, 21292, 5, 55242, 46244, 123736, 23741, 4, 7243, 9213, 46685, 4, 42542, 4838, 46590, 905, 6, 47351, 7369, 7201, 26612, 46244, 114436, 3131, 109636, 10918, 21106, 34533, 4838, 2050, 132025, 7201, 48904, 2932, 42493, 130170, 3131, 54260, 20315, 1211, 10676, 137, 238144, 4944, 12483, 155, 3120, 20315, 2050, 137, 506, 23173, 96986, 155, 1751, 48904, 75290, 4, 6, 238144, 1644, 7508, 6093, 184639, 42542, 220224, 1211, 14856, 46244, 84475, 159696, 7511, 61397, 364, 23173, 2882, 2200, 4151, 9424, 238144, 16932, 42542, 220224, 1211, 14856, 46244, 84475, 119055, 76632, 61397, 238144, 4667, 5, 4838, 46590, 905, 1285, 56170, 1982, 45223, 23741, 42493, 47783, 220224, 130170, 3131, 54260, 20315, 1211, 4, 6, 238144, 1644, 30473, 3056, 7243, 43649, 186797, 36324, 75230, 45521, 93509, 88945, 1211, 564, 54260, 564, 54260, 20315, 6, 95494, 20260, 93497, 5, 3523, 40096, 9221, 32792, 4151, 4484, 35596, 18225, 10676, 15857, 7916, 69181, 40697, 1211, 1751, 48904, 75290, 5960, 162926, 80885, 1211, 103854, 10676, 199145, 8947, 6, 35596, 119718, 7682, 1644, 12483, 7746, 125523, 1470, 30682, 1285, 177157, 22426, 97634, 51723, 3120, 140458, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 21087, 46590, 21292, 2200, 16175, 54260, 1644, 238144, 39293, 125523, 10676, 21776, 124740, 2882, 40096, 3120, 6235, 119718, 710, 36419, 564, 137119, 10705, 194734, 68959, 18340, 109226, 4, 3496, 64260, 3131, 1285, 39293, 21923, 42493, 2205, 6, 119859, 57619, 12483, 6, 59919, 1644, 13159, 32792, 5, 51723, 130170, 46464, 40920, 1470, 75230, 4667, 10676, 1470, 54260, 16932, 84475, 4838, 1751, 46545, 13845, 3120, 4151, 1470, 75230, 75578, 7201, 192956, 3120, 26, 2050, 1751, 48904, 75290, 2819, 4151, 6, 134067, 90848, 95564, 137377, 42542, 194706, 45223, 55823, 1211, 10705, 194734, 93509, 54260, 20315, 1211 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 75230, 1982, 3373, 26, 68313, 4838, 15857, 7916, 69181, 152185, 84475, 42493, 15857, 7916, 69181, 152185, 3131, 48904, 75290, 5, 35189, 6, 238144, 104238, 1751, 48904, 75290, 7369, 3131, 54260, 13497, 14856, 46244, 80885, 16667, 27702, 50853, 84475, 6, 71577, 29766, 193012, 125523, 4151, 132025, 105235, 4484, 17310, 4, 3069, 6093, 29659, 2205, 4151, 160238, 2050, 3120, 4838, 21733, 54260, 59461, 7508, 75230, 2882, 17310, 4, 6428, 47351, 163825, 29060, 7746, 4838, 55242, 4484, 109316, 7265, 67882, 16932, 17645, 4, 119055, 13845, 4944, 13159, 4, 7746, 6, 89930, 54260, 2702, 186797, 4, 67882, 40920, 1285, 119055, 10705, 16747, 5, 1285, 39293, 3056, 10339, 71804, 4667, 4, 7265, 8903, 5666, 75230, 2190, 14857, 126700, 65482, 21776, 83182, 2819, 22753, 3056, 6, 75578, 87442, 7265, 67882, 16932, 17645, 2200, 23173, 73136, 61397, 23174, 13845, 2882, 7265, 4838, 7508, 75230, 158652, 54260, 2882, 3120, 4151, 364, 75230, 2882, 5, 1470, 75230, 1982, 18225, 364, 186955, 4852, 18167, 63259, 147455, 4, 42542, 22753, 7746, 55242, 46244, 1751, 57277, 24152, 45521, 93509, 80453, 54260, 96986, 2205, 1285, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 2819, 22753, 42542, 119055, 6093, 12483, 55242, 46244, 17824, 75230, 2702, 84475, 8947, 42542, 7746, 44693, 20315, 1211, 14856, 46244, 123073, 6, 95494, 20260, 93497, 5, 26612, 3373, 4667, 874, 39083, 6235, 506, 12483, 40653, 8903, 25391, 218241, 65482, 4231, 17310, 4113, 657, 54260, 2882, 73784, 81444, 20911, 29766, 7201, 23173, 4838, 19302, 54260, 1211, 43449, 64260, 6093, 13845, 84475, 4838, 19302, 54260, 23269, 119055, 10705, 16747, 4, 199145, 37826, 220273, 7511, 2882, 3069, 6, 80264, 7265, 4838, 1751, 48904, 75290, 5, 8947, 42542, 7746, 81444, 4667, 163825, 12483, 230764, 1285, 36419, 13805, 905, 109316, 6, 29766, 119859, 49008, 6, 47351, 2190, 5666, 113687, 158548, 43449, 64260, 6093, 13845, 199145, 170479, 42493, 220224, 1211, 2808, 83182, 3131, 163139, 230764, 4838, 6, 223390, 6093, 84475, 230764, 10676, 41764, 12130, 711, 46711, 73381, 12483, 220224, 23173, 54260, 1211, 3069, 1211, 6, 47351, 5332, 46244, 149010, 1211, 6, 23173, 56169, 6, 225975, 2882, 7369, 220224, 36324, 3373, 26, 68313, 220273, 7243, 2200, 10069, 364, 54260, 1644, 17310, 3056, 4838, 55242, 46244, 58571, 26394, 5, 10339, 21106, 12483, 220224, 95298, 6, 23173, 54260, 1211, 2205, 1285, 364, 141943, 69355, 4838, 14856, 10069, 10918, 207591, 12483, 564, 183512, 15907, 4, 119055, 63593, 172398, 6, 48904, 171433, 36419, 220224, 6235, 7916, 49008, 2205, 10069, 9424, 54260, 2882, 109226, 4, 230764, 1285, 4269, 59929, 12483, 84475, 2205, 1285, 123736, 1982, 186145, 96986, 4, 6, 29766, 6093, 2205, 10069, 364, 141943, 3120, 6, 47351, 137, 29060, 506, 40697, 1211, 155, 1751, 119718, 710, 47526, 6093, 199145, 4838, 113889, 16667, 54196, 7746, 7243, 4, 69355, 4838, 29434, 5, 9934, 75230, 2932, 212915, 4, 292, 3056, 119055, 20616, 3069, 220224, 711, 95455, 43449, 64260, 6093, 13845, 119055, 77188, 171433, 61397, 25046, 12483, 6, 238144, 104238, 84475, 15857, 7916, 69181, 152185, 1751, 48904, 75290, 2200, 220224, 46050, 4944, 12483, 3131, 75230, 1211, 42493, 6, 23173, 75230, 2702, 3120, 4151, 6, 225975, 43178, 84577, 6093, 137, 30750, 506, 183512, 1644, 17310, 2004, 36324, 75230, 163139, 4151, 3131, 119718, 710, 47526, 6093, 6319, 120749, 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 ]
[ 14856, 46244, 6, 23173, 75230, 2702, 3120, 10676, 112216, 10918, 35596, 12483, 26, 2702, 115222, 3131, 65482, 5, 35189, 6, 238144, 104238, 1751, 48904, 75290, 6428, 75230, 77188, 3120, 6, 26394, 42023, 193012, 78278, 4838, 874, 232187, 2882, 4, 2808, 75230, 1982, 18225, 364, 186955, 7746, 7508, 54260, 1211, 2200, 7369, 119055, 77188, 42493, 224220, 22426, 1644, 31623, 54196, 5, 564, 54260, 22680, 75230, 12483, 6428, 75230, 77188, 7369, 657, 141847, 6093, 2200, 3056, 1751, 159696, 2442, 6093, 3069, 364, 54260, 1644, 12483, 4, 40653, 1285, 59919, 119718, 125897, 21295, 123073, 6, 208048, 97634, 9719, 3120, 220224, 123073, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 5, 21087, 46590, 21292, 141605, 30750, 506, 183512, 1644, 17310, 5, 292, 7508, 54260, 110317, 12483, 1285, 119055, 10705, 16747, 4, 7508, 54260, 110317, 12483, 76961, 10339, 21106, 96986, 69355, 1285, 6235, 7511, 2882, 21106, 29766, 119859, 49008, 4, 42493, 7508, 54260, 1982, 186797, 4, 6, 104985, 55242, 46244, 874, 145161, 2819, 119055, 26612, 3131, 12483, 144754, 119055, 23173, 46598, 119055, 59929, 6093, 7265, 84475, 123736, 42023, 220224, 6293, 2200, 7265, 4838, 1751, 46545, 13845, 119055, 174121, 5, 1982, 54260, 32054, 75230, 12483, 1470, 75230, 4667, 1470, 54260, 110970, 80453, 31623, 109226, 2205, 4151, 1751, 54260, 20315, 7265, 119055, 23173, 2050, 119055, 59929, 6093, 5, 159696, 1211, 4151, 1751, 48904, 75290, 6235, 7916, 13497, 7746, 2205, 4838, 10339, 186955, 4, 9424, 119718, 40697, 1211, 9424, 238144, 364, 75230, 96986, 4, 20961, 54260, 5666, 147713, 12483, 123736, 23741, 1751, 46545, 44779, 7508, 54260, 23269, 4, 1470, 75230, 2702, 8903, 88660, 4944, 18415, 657, 54260, 159696, 13497, 84475, 119859, 39293, 4, 119055, 13845, 107581, 18225, 6, 59919, 13458, 35596, 1751, 109636, 16932, 5, 199145, 14856, 46244, 22444, 506, 2819, 6, 186461, 12483, 4, 30473, 26394, 1211, 4, 119055, 12483, 178748, 32792, 2819, 199145, 119055, 76632, 61397, 6235, 506, 12483, 2819, 42493, 4838, 68697, 54260, 96986, 4, 2808, 75230, 1982, 178748, 32792, 4, 1751, 109636, 42180, 1644, 119055, 12483, 3373, 26, 68313, 4838, 6, 64991, 23173, 1982, 54260, 2882, 2819, 42493, 3131, 80453, 710, 183216, 4, 42493, 6, 57277, 57619, 12483, 4, 42493, 7508, 54260, 96986, 4, 42493, 32899, 76216, 25207, 1211, 230764, 10676, 9424, 238144, 90848, 2648, 15, 1982, 54260, 150541, 1644, 194, 9934, 29766, 8903, 1211, 36324, 1285, 30109, 48904, 39340, 16175, 54260, 1644, 12483, 170479, 12483, 42493, 6235, 126700, 12483, 159696, 25207, 1211, 5, 6, 21106, 88660, 506, 39083, 40697, 6235, 23822, 135118, 4113, 2200, 7508, 54260, 8300, 186797, 4113, 145813, 54260, 104149, 15, 39293, 506, 119718, 120467, 3056, 6235, 225975, 2882, 6235, 119718, 29766, 12483, 564, 54260, 4269, 171433, 29766, 4113, 4113, 16, 21923, 4838, 1982, 2702, 39083, 36609, 10339, 139365, 64260, 12483, 5, 45521, 70598, 54260, 20315, 1211, 177274, 73095, 13805, 905, 109316, 1470, 75230, 22680, 4113, 2932, 17310, 5, 2808, 54260, 1211, 874, 39083, 84475, 9424, 238144, 874, 39083, 2205, 166464, 4838, 119055, 23173, 2050, 22753, 7611, 1982, 142429, 84475, 95455, 2865, 43178, 149010, 115825, 2648, 364, 21106, 96986, 2205, 4838, 7213, 2702, 13845, 7265, 119055, 23173, 2050, 119055, 59929, 6093, 423, 238419, 5, 113889, 133324, 46598, 72577, 1470, 75230, 34575, 7682, 171428, 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 ]
[ 74806, 1644, 91595, 2702, 29766, 119859, 49008, 2200, 1285, 119055, 10705, 16747, 4, 30473, 42493, 7508, 54260, 1982, 186797, 4, 2200, 40653, 506, 75230, 22426, 2882, 220224, 364, 21106, 96986, 6, 110129, 165354, 5, 18225, 42542, 10069, 119055, 10705, 16747, 364, 21106, 96986, 6, 110129, 165354, 7265, 6235, 159696, 506, 5666, 7972, 30750, 6319, 90848, 4944, 2865, 21106, 22426, 15096, 159696, 2442, 15, 22426, 75230, 2442, 6093, 16, 84475, 4, 1470, 75230, 1982, 18225, 163139, 1644, 6235, 13458, 75230, 4944, 12483, 4, 6, 47351, 4838, 50778, 36419, 22426, 147502, 7265, 13845, 4, 199145, 3056, 42493, 4838, 1982, 2702, 39083, 36609, 3523, 75230, 15231, 2932, 4, 42542, 18225, 132025, 159696, 16747, 12483, 1982, 29766, 92605, 150349, 15096, 159696, 2442, 84475, 6, 23173, 34533, 39083, 5, 3373, 26, 68313, 10339, 139365, 64260, 12483, 152, 3069, 6235, 13458, 75230, 4944, 12483, 22639, 6093, 32792, 84475, 1470, 75230, 101608, 32792, 6319, 159696, 215052, 15350, 75578, 4, 13342, 10213, 506, 183512, 1644, 12483, 10676, 10339, 21106, 163139, 4838, 15857, 46590, 21292, 7201, 21106, 4, 3069, 9721, 171428, 1285, 119055, 10705, 16747, 132, 39293, 46244, 55242, 1644, 96986, 3056, 95455, 3523, 75230, 15231, 2932, 5, 2200, 95455, 64769, 48253, 54260, 20315, 2882, 4151, 81444, 20911, 29766, 247, 3069, 6235, 13458, 75230, 4944, 12483, 45521, 18415, 1751, 97634, 55823, 1211, 4, 36324, 75230, 163139, 6, 170355, 22849, 12483, 4, 3069, 67882, 4944, 12483, 6, 47351, 137377, 6093, 26612, 10918, 68558, 1470, 75230, 2702, 3131, 5666, 54260, 2648, 186797, 10676, 1751, 48904, 75290, 15, 3131, 5666, 54260, 20315, 1211, 10676, 4838, 1982, 2702, 26394, 2702, 2205, 4151, 1285, 4667, 3056, 123736, 23741, 3523, 75230, 15231, 2932, 2200, 55242, 46244, 72577, 5, 16, 21087, 46590, 21292, 5, 8903, 5666, 75230, 4113, 7369, 17494, 16747, 18640, 109226, 40653, 1285, 6, 37016, 30473, 80885, 69106, 3120, 15857, 46590, 448, 2205, 10069, 6, 21106, 18415, 9424, 54260, 96986, 21923, 42493, 56170, 47351, 2819, 23165, 3056, 48494, 203232, 4151, 7201, 23173, 238144, 1644, 18225, 37826, 1285, 30109, 48904, 15307, 54260, 2882, 42493, 4151, 4484, 35596, 2200, 18225, 37826, 9213, 506, 25207, 19236, 35189, 88771, 6, 159696, 8903, 1211, 23050, 31249, 91595, 2702, 28726, 1982, 12483, 59919, 3131, 88945, 76776, 33716, 93975, 177157, 22426, 97634, 51723, 6235, 506, 21106, 96986, 56170, 10213, 46464, 83182, 4113, 70695, 20260, 506, 54260, 96986, 2200, 23165, 220273, 6, 238144, 1644, 22753, 37826, 42493, 5332, 215052, 34533, 54196, 2205, 9213, 46244, 182261, 161459, 160238, 2050, 5, 95766, 4151, 81271, 4, 2205, 6, 75230, 58679, 4, 6, 5594, 4, 6235, 7916, 49008, 20033, 1285, 895, 18415, 80885, 6, 75578, 25391, 54260, 1982, 17310, 3120, 4269, 171433, 29766, 4113, 4113, 4, 95298, 2181, 3056, 42493, 162926, 36324, 18225, 37826, 22753, 2648, 99766, 42493, 3069, 5666, 75230, 111137, 9719, 29659, 7265, 15857, 46590, 21292, 5, 54745, 1211, 1470, 133880, 10676, 199145, 2702, 26, 68313, 6428, 99766, 1285, 21776, 20315, 3120, 4151, 137, 10705, 50856, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 155, 3120, 137, 26612, 6, 212915, 199145, 506, 64260, 6, 47351, 1470, 75230, 2702, 21066, 24244, 155, 3120, 220224, 1211, 46654, 54260, 3131, 4, 43649, 20616, 2882, 1470, 75230, 4667, 36324, 220224, 1211 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7746, 95455, 119055, 99766, 37271, 232187, 5666, 78653, 155, 14856, 46244, 230764, 1285, 168155, 6, 80453, 129071, 125897, 4, 163139, 230764, 4151, 55242, 22849, 2702, 103955, 211630, 18640, 17310, 4, 119055, 13845, 107581, 364, 54260, 16803, 6319, 29766, 87442, 6093, 67882, 126934, 68697, 26612, 10918, 68558, 4, 238144, 1644, 137, 232187, 5666, 78653, 155, 1751, 57277, 63532, 3120, 10676, 12023, 17160, 40697, 1211, 22753, 83182, 119055, 13845, 4944, 12483, 4269, 64260, 506, 64260, 564, 35596, 90848, 23741, 56170, 2190, 5666, 7201, 39083, 13497, 186797, 12483, 6, 59919, 39340, 46244, 5, 15, 119718, 710, 6, 225975, 2882, 29434, 5, 7972, 22426, 2882, 54260, 705, 137, 97594, 144581, 104238, 238144, 39293, 4, 4269, 64260, 37826, 6235, 94114, 12483, 220224, 1211, 874, 54260, 3111, 23405, 3120, 710, 114436, 9424, 54260, 2882, 6, 68558, 4, 6, 238144, 1644, 182261, 21923, 81444, 36324, 75230, 10184, 109316, 6, 113889, 4944, 7201, 39083, 61397, 3120, 112711, 1211, 4, 36324, 4, 119055, 12483, 4269, 64260, 163139, 1644, 220224, 76961, 1470, 75230, 2702, 130734, 26, 171428, 4, 119055, 39083, 2882, 7369, 6235, 2648, 23173, 23741, 85465, 200117, 12483, 4838, 3523, 54260, 46598, 874, 43375, 2909, 16, 18225, 37826, 6, 59919, 159696, 13805, 13845, 2882, 10676, 6, 109995, 3120, 10676, 119718, 99766, 2200, 18225, 6, 225975, 2882, 182261, 123736, 23741, 132025, 48904, 78653, 6, 48904, 29659, 40096, 67882, 126934, 68697, 26612, 10918, 68558, 4, 119055, 13845, 4944, 13159, 3056, 6, 21106, 4852, 29771, 42493, 6, 120749, 18640, 5, 2200, 119055, 12483, 18225, 105884, 2882, 3120, 137, 88660, 7511, 23964, 21106, 12483, 132025, 48904, 78653, 2004, 874, 54260, 13497, 18225, 36324, 4151, 2190, 5666, 7201, 39083, 29659, 186797, 6093, 45521, 24152, 20616, 29025, 119718, 40697, 1211, 6, 133111, 2200, 32054, 75230, 3056, 36324, 75230, 163139, 67882, 126934, 68697, 26612, 10918, 68558, 5, 20632, 4, 95455, 42542, 7511, 2882, 220224, 1211, 88771, 5, 199145, 1751, 93704, 2882, 1470, 54260, 2932, 35596, 32792, 14856, 46244, 80885, 16667, 564, 54260, 4151, 101296, 126934, 68697, 26612, 10918, 68558, 705, 292, 15, 159696, 1211, 8947, 1751, 93704, 2882, 16, 1285, 4838, 110970, 23822, 141847, 17310, 3120, 10676, 35402, 7746, 160238, 13342, 105235, 1644, 12483, 36324, 18225, 37826, 56170, 7746, 4838, 6, 149364, 4852, 68558, 3120, 26, 2050, 221895, 1211, 74806, 1644, 91595, 5, 20632, 4, 95455, 3056, 81444, 4667, 42493, 4151, 10339, 21106, 564, 54260, 2050, 130170, 1982, 90848, 107581, 119132, 6, 88660, 710, 96418, 4, 6, 238144, 1644, 18225, 37826, 81444, 4667, 6, 57277, 39340, 163139, 24152, 32792, 4838, 6, 149364, 4852, 68558, 69355, 26, 2050, 221895, 1211, 74806, 1644, 91595, 5, 18225, 37826, 6, 225975, 23173, 76961, 73095, 13805, 905, 109316, 45521, 48974, 110317, 172398, 199145, 6, 104378, 3120, 10676, 192183, 2882, 129071, 9424, 119718, 40697, 1211, 564, 54260, 20315, 74806, 1644, 91595, 6093, 4, 104985, 7265, 1470, 54260, 1211, 1470, 75230, 2702, 76776, 24621, 152, 199145, 95455, 3373, 149364, 101296, 43449, 54260, 47332, 29434, 75230, 2702, 12483, 5, 2648, 120467, 11211, 83182, 2882, 95298, 6319, 54260, 1211, 874, 39083, 42493, 10676, 123736, 48974, 48904, 78653, 5, 4151, 71107, 2200, 12415, 81444, 20911, 75230, 16847, 199145, 10213, 506, 75230, 22426, 96986, 36324, 4151, 130170, 1982, 90848 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 114436, 6, 59919, 39340, 46244, 68313, 1751, 16870, 32792, 4, 6, 238144, 2702, 12483, 6, 21106, 54260, 1211, 42493, 56170, 199145, 220224, 34076, 75230, 1982, 12483, 8947, 2819, 3373, 26, 68313, 2808, 6, 56052, 4838, 75578, 21847, 75230, 1982, 12483, 5, 874, 48904, 107581, 7369, 8300, 18415, 160751, 12483, 6, 68558, 36324, 1285, 118473, 7972, 4944, 4484, 54260, 158652, 177148, 3120, 10676, 199145, 1285, 6, 29766, 119859, 49008, 4, 132025, 8903, 46590, 2882, 7265, 564, 137119, 37729, 4151, 2808, 75230, 22680, 4113, 2932, 17310, 4, 17190, 215206, 12483, 7746, 42493, 1470, 75230, 2702, 36324, 75230, 9915, 13845, 163139, 119055, 12483, 4151, 6, 129071, 68313, 10339, 39083, 29659, 186797, 5, 95455, 3056, 95298, 42493, 119055, 23173, 3131, 54260, 5666, 32792, 4, 200795, 16667, 238144, 1644, 20033, 55242, 506, 12483, 6319, 54260, 1211, 874, 39083, 42493, 6319, 54260, 1211, 14856, 110970, 12483, 564, 54260, 6, 159696, 51723, 18225, 170479, 4484, 171428, 10213, 238144, 104149, 36324, 8947, 37826, 220224, 74806, 23173, 2882, 5, 9424, 238144, 18415, 16667, 4, 6, 238144, 1644, 4151, 10705, 5666, 7201, 39083, 29659, 186797, 6093, 6, 88660, 710, 96418, 6, 186797, 2882, 7746, 7265, 4838, 6, 120749, 93975, 1211, 123736, 48974, 165592, 2050, 5, 10705, 5666, 7201, 39083, 29659, 186797, 6093, 6, 59919, 39340, 46244, 5, 22377, 13159, 3056, 95298, 178748, 32792, 36324, 8947, 170479, 6, 101328, 220224, 1211, 1751, 16870, 32792, 2205, 1285, 10339, 109316, 119055, 10705, 4, 7201, 23173, 874, 151461, 84475, 37729, 874, 48904, 195054, 2205, 9213, 1982, 17310, 4, 37826, 18225, 36324, 75230, 6, 159696, 110317, 59919, 39340, 46244, 36324, 18225, 6, 105235, 21295, 7746, 220273, 42493, 3069, 211630, 12483, 5, 95455, 3056, 1751, 75230, 1211, 3069, 10705, 5666, 7201, 39083, 29659, 186797, 711, 35189, 32054, 48904, 8300, 75230, 4852, 152185, 1751, 109636, 10918, 21106, 34533, 56170, 32054, 75230, 135118, 48775, 20260, 506, 54260, 96986, 4, 7972, 97634, 15, 8903, 25391, 16011, 12483, 152, 3944, 905, 57277, 41731, 247, 6, 225975, 2882, 152, 2181, 42542, 42493, 6, 199511, 42493, 35189, 32054, 75230, 4, 42493, 10676, 6, 212915, 6319, 54260, 1211, 6, 192539, 17310, 4, 95455, 199145, 4151, 6, 59919, 39340, 46244, 159696, 33716, 130170, 1982, 90848, 4944, 12483, 7265, 4838, 73095, 17494, 152848, 84475, 4838, 117902, 2442, 73095, 17494, 50856, 12483, 7201, 23173, 10676, 6, 235210, 12483, 2808, 75230, 2702, 2932, 21292, 12483, 5, 1470, 75230, 1982, 564, 54260, 4151, 32054, 75230, 107776, 4151, 123736, 48974, 165592, 2050, 2702, 54260, 163139, 3373, 54260, 1751, 109636, 16932, 84475, 40026, 506, 6093, 163139, 564, 54260, 2050, 6, 212915, 4, 163139, 2181, 6, 186145, 23741, 4852, 18167, 123736, 23741, 4838, 46590, 905, 564, 54260, 2050, 10339, 39083, 29659, 186797, 80885, 1211, 6, 59919, 39340, 46244, 4, 292, 42542, 7508, 6093, 6, 235210, 12483, 2808, 75230, 2702, 26217, 2702, 4, 3373, 54260, 22639, 4113, 159696, 110317, 4, 3373, 54260, 29434, 75230, 2702, 12483, 4, 220273, 42493, 6, 192539, 12483, 5, 1470, 75230, 1982, 35189, 123736, 48974, 165592, 2050, 107776, 34076, 54260, 4944, 8300, 54260, 15231, 2932, 564, 54260, 564, 54260, 20315, 4, 3056, 8947, 81444, 4667, 1470, 119718, 2648, 14004, 21847, 54260, 4944, 154739, 15231, 2932, 199145, 8947, 6235, 155697 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7265, 10676, 6, 149364, 101296, 5, 3944, 97634, 107776, 73784, 65577, 36324, 10184, 30473, 39083, 29771, 62073, 3056, 42493, 29771, 6319, 54260, 1211, 130170, 16629, 2648, 9424, 119718, 40697, 1211, 10676, 10339, 39083, 29659, 186797, 12483, 2200, 10676, 130170, 1982, 90848, 107581, 119132, 6, 88660, 710, 96418, 2200, 36324, 1285, 168155, 3056, 7511, 2882, 118473, 32792, 5, 13982, 5, 3944, 22426, 2882, 54260, 6, 225975, 2882, 36324, 95455, 1751, 16870, 149010, 2205, 10676, 2190, 5666, 7201, 39083, 29659, 186797, 12483, 59919, 39340, 46244, 3056, 7508, 6093, 10339, 129071, 199145, 7369, 3056, 10339, 139365, 88917, 12483, 7265, 6, 47351, 4838, 110970, 23822, 141847, 17310, 3120, 10676, 163139, 1644, 12483, 3069, 6, 186797, 12483, 10676, 6, 59919, 39340, 46244, 2205, 10676, 6, 120749, 93975, 1211, 1470, 75230, 8903, 5666, 181615, 5, 95455, 3056, 95298, 1470, 75230, 4667, 42493, 73784, 34076, 75230, 1982, 12483, 4, 6, 238144, 1644, 10069, 39293, 44458, 29659, 2442, 141847, 17310, 119055, 77188, 7265, 4151, 9424, 54260, 2882, 55242, 46244, 6, 59919, 21733, 54260, 59461, 2882, 37729, 10069, 6, 80453, 129071, 125897, 2200, 1285, 6235, 119718, 29771, 29338, 54260, 2882, 5, 13982, 5, 6, 59919, 10069, 2200, 29434, 5, 48494, 76216, 28726, 35189, 151614, 1982, 12483, 130170, 46464, 40920, 10339, 109316, 3120, 24621, 110970, 12483, 199145, 151614, 1982, 12483, 6235, 506, 40096, 4838, 3373, 4667, 6, 101328, 46244, 12483, 2190, 5666, 7201, 39083, 29659, 186797, 12483, 6, 59919, 39340, 46244, 2200, 151614, 1982, 12483, 6235, 7916, 49008, 36324, 8947, 37826, 220224, 220273, 42493, 74806, 93704, 2882, 5, 220224, 30750, 506, 75230, 22426, 96986, 1470, 75230, 4667, 36324, 95455, 3373, 149364, 101296, 3056, 42493, 3523, 75230, 15231, 2932, 9747, 1285, 32054, 75230, 4852, 39083, 151614, 1982, 12483, 4838, 10339, 39083, 29659, 186797, 12483, 45521, 48974, 110317, 12483, 15, 1982, 54260, 6, 47351, 2190, 5666, 7201, 39083, 29659, 186797, 12483, 6, 59919, 39340, 46244, 194, 13982, 5, 119055, 21106, 35596, 26612, 2200, 29434, 5, 874, 172398, 23174, 26612, 9424, 54260, 8903, 1211, 6, 68558, 230764, 30109, 48904, 15307, 54260, 96986, 119718, 120467, 220224, 46711, 54260, 1982, 12483, 3069, 73784, 130170, 1982, 90848, 107581, 119132, 6, 59919, 39340, 46244, 4, 95298, 95455, 4852, 171428, 6150, 13845, 107581, 10339, 109316, 36324, 18225, 42542, 657, 54260, 40920, 6235, 7916, 49008, 221895, 34482, 47709, 4944, 12483, 7201, 23173, 220224, 5, 4836, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 10069, 1751, 16870, 7972, 4944, 4484, 54260, 2882, 3120, 45521, 17800, 15907, 17310, 2702, 9719, 21338, 12483, 69355, 1285, 45521, 93509, 15435, 65482, 174538, 12483, 199145, 119055, 6093, 12483, 6235, 13458, 75230, 40920, 3069, 6, 59919, 87637, 96986, 1751, 119718, 48904, 61397, 95494, 23741, 4, 21923, 874, 48904, 107581, 6235, 101296, 40920, 7265, 45521, 18415, 1751, 97634, 55823, 1211, 2200, 24621, 10069, 78683, 96302, 12483, 2205, 4151, 160238, 2050, 3120, 6, 26394, 22426, 44779, 4, 199145, 1285, 32054, 75230, 657, 35596, 20961, 54260, 1211, 2205, 4151, 1751, 54260, 20315, 56170, 10676, 6, 59919, 39340, 46244, 4, 7265, 10676, 9424, 159696, 4484, 3069, 6, 89930, 3131, 16932, 12483, 10676, 6, 235210, 12483, 5, 1470, 54260, 7511, 8903, 3120, 220224, 4, 73784, 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 ]

[ 3131, 22426, 710, 13845, 1285, 7265, 41643, 90536, 2865, 40096, 15, 26612, 6319, 159696, 215052, 15350, 75578, 24621, 10069, 78683, 96302, 247, 21923, 118473, 32792, 4, 225975, 23173, 6235, 55823, 46244, 32792, 4, 6, 238144, 1644, 4151, 214804, 52480, 40096, 6235, 506, 2882, 6, 23173, 54260, 1211, 2205, 6, 75290, 149364, 103854, 4151, 620, 54260, 7758, 75230, 2882, 2200, 6, 59919, 25222, 23741, 29060, 1285, 32054, 75230, 5, 1285, 58573, 21106, 65482, 2808, 171127, 15529, 96302, 12483, 15, 7511, 2882, 1285, 221895, 16, 199145, 7038, 104149, 43649, 186797, 6, 186461, 12483, 22639, 4113, 159696, 110317, 21923, 1470, 75230, 4667, 1751, 16870, 32792, 5, 1470, 75230, 4667, 1285, 1470, 54260, 110970, 80453, 31623, 109226, 125523, 10676, 59919, 39340, 46244, 7265, 214804, 710, 101296, 21338, 48350, 109226, 84475, 6, 20616, 5666, 149010, 21923, 118473, 32792, 2819, 2808, 54260, 5666, 7201, 26612, 4667, 119055, 59929, 6093, 4, 119055, 12483, 8947, 3056, 6, 119859, 69106, 6319, 186955, 4, 42542, 1470, 75230, 4667, 1751, 93704, 12483, 5, 292, 13159, 119055, 39083, 2882, 70295, 6235, 159696, 1211, 81444, 3069, 564, 174798, 54260, 1982, 12483, 1285, 221067, 4, 2190, 110970, 16870, 149010, 9719, 21338, 12483, 4, 95298, 657, 54260, 35189, 3056, 2181, 2205, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 4151, 238144, 1644, 42493, 7369, 1644, 75230, 47332, 132025, 13342, 8903, 1982, 12483, 6319, 54260, 1211, 69529, 45521, 17800, 15907, 17310, 2702, 9719, 21338, 12483, 5, 20033, 2648, 23173, 55823, 1211, 115222, 2865, 22426, 55823, 1211, 36324, 95455, 170479, 220224, 1211, 7369, 1644, 75230, 47332, 4, 32054, 48904, 4484, 2200, 32054, 54260, 5, 87637, 204403, 150349, 93704, 5594, 710, 204403, 150349, 93704, 710, 3056, 4838, 3069, 29659, 183512, 564, 54260, 119055, 13845, 4944, 12483, 4838, 6, 212915, 119055, 77188, 160751, 75230, 25207, 1211, 7265, 4151, 6, 73381, 43178, 17310, 3120, 10676, 179096, 1211, 4484, 208048, 1644, 7243, 564, 54260, 2050, 5332, 152848, 4, 9934, 29771, 83182, 1211, 230764, 4151, 130170, 3131, 16932, 220224, 2882, 3120, 10676, 115825, 2648, 5, 8947, 21923, 56170, 47351, 59919, 16629, 2648, 65482, 17824, 93704, 12483, 3120, 11211, 204403, 150349, 2808, 10069, 2819, 1285, 6, 73381, 43178, 17310, 42542, 220224, 1211, 64890, 69106, 113889, 506, 35596, 3120, 9213, 46244, 133190, 2865, 21106, 12483, 6, 99766, 4, 6428, 47351, 37826, 8947, 6319, 54260, 1211, 69529, 2190, 22492, 23405, 65482, 24621, 10339, 39083, 8903, 1211, 2819, 22753, 42542, 220224, 1211, 1470, 17310, 73381, 20616, 2442, 2205, 4151, 7265, 4113, 3120, 4151, 1644, 141847, 3120, 10676, 123736, 48974, 47351, 84475, 6, 225975, 23173, 564, 54260, 2050, 130170, 105235, 1211, 5332, 152848, 4, 7243, 238144, 2882, 3120, 1285, 32887, 175483, 1644, 12483, 5, 2205, 34654, 39293, 10339, 109316, 42542, 95455, 34482, 45619, 25207, 1211, 2200, 35189, 74806, 1644, 91595, 149010, 2442, 6, 59919, 39340, 46244, 74806, 16932, 2882, 119055, 6093, 12483, 2819, 8947, 3056, 1470, 75230, 4667, 190386, 18167, 36324, 18225, 170479, 37729, 10676, 42493, 51678, 10213, 141562, 40920, 12483, 1285, 32054, 75230, 4, 6, 238144, 1644, 35189, 6, 235210, 12483, 42542, 42493, 6, 23173, 54260, 1211, 2205, 4151, 1751, 54260, 20315, 2819, 95298, 95455, 65146, 219947, 47783, 220224, 1211, 5, 292, 657, 54260, 35189, 42542 ]

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

[ 18225, 3069, 1285, 104149, 3069, 29659, 183512, 220273, 219947, 6, 80264, 4, 4838, 133880, 6, 47351, 120202, 6093, 26612, 10918, 68558, 4, 119055, 13845, 107581, 204982, 7243, 47783, 10676, 160751, 20616, 186955, 65482, 32887, 175483, 1644, 12483, 13556, 119718, 24295, 105235, 1211, 21776, 124740, 2882, 40096, 5, 1285, 120202, 6093, 26612, 10918, 68558, 10213, 105235, 506, 2882, 2205, 10676, 4, 36324, 18225, 101296, 40920, 4838, 6319, 171127, 149010, 1211, 213909, 21106, 84475, 4838, 6, 56052, 6, 216501, 7265, 4151, 364, 75230, 2882, 3120, 20315, 2050, 112216, 10918, 35596, 12483, 5, 1470, 75230, 1982, 18225, 6, 35596, 31249, 34533, 7746, 3069, 1211, 6, 47351, 4838, 149364, 26612, 10918, 68558, 4, 3056, 26612, 10339, 48775, 8903, 119055, 12483, 18225, 170479, 22753, 67882, 4944, 12483, 5, 874, 48904, 107581, 6428, 135118, 12483, 36324, 3373, 26, 68313, 72577, 2648, 120467, 3069, 6, 80264, 2205, 7508, 6093, 40026, 506, 13159, 16932, 192544, 506, 54260, 2882, 2819, 1470, 75230, 1982, 6150, 75230, 4, 185182, 98833, 13159, 123736, 1982, 3120, 10676, 9213, 73375, 8903, 1211, 3069, 29659, 183512, 3120, 21776, 2050, 21374, 50856, 26, 2702, 6, 75290, 149364, 2819, 29771, 75578, 6255, 119055, 39083, 2882, 6235, 90848, 96986, 18225, 170479, 22753, 67882, 4944, 12483, 7369, 29659, 1751, 109636, 16932, 2205, 28726, 1982, 12483, 5, 148346, 20616, 186955, 65482, 32887, 175483, 1644, 12483, 15, 84316, 22426, 205416, 4944, 78653, 16, 95766, 4151, 184639, 9424, 54260, 2882, 3120, 10676, 192544, 26, 2702, 6, 35596, 119718, 7682, 1644, 17310, 2205, 7508, 6093, 101296, 24621, 26, 2702, 6235, 75578, 11556, 16932, 4, 163825, 12483, 7746, 1285, 32887, 175483, 1644, 12483, 2205, 20315, 2050, 192544, 26, 2050, 564, 75230, 4667, 4, 3120, 119055, 48904, 12483, 220224, 43649, 54260, 8903, 1211, 6, 23173, 33104, 16932, 2205, 10676, 131002, 64260, 18340, 4, 2205, 10676, 55242, 39340, 1644, 2205, 119055, 13845, 4944, 12483, 220224, 43449, 54260, 1982, 12483, 56170, 156968, 5, 95455, 6, 23173, 33104, 16932, 29659, 54260, 8903, 1211, 6235, 155697, 2882, 125523, 56170, 7508, 6093, 6235, 28317, 2882, 4, 165592, 75230, 6150, 564, 54260, 1470, 133190, 2865, 21106, 192544, 6235, 7916, 13497, 18225, 6235, 159696, 506, 5666, 32792, 1285, 32887, 175483, 1644, 12483, 230764, 220224, 6093, 6, 120749, 93975, 1211, 6, 99766, 5, 8947, 42542, 7746, 95298, 46711, 73381, 12483, 36324, 10069, 32887, 175483, 1644, 12483, 170479, 12483, 43449, 54260, 1982, 12483, 4, 564, 54260, 20315, 84475, 1470, 54260, 16667, 6, 156325, 220224, 4, 2205, 20315, 2050, 564, 75230, 4667, 84475, 2205, 7508, 6093, 1285, 4667, 4, 130170, 4151, 364, 75230, 2882, 5, 95455, 3056, 1470, 54260, 23269, 3120, 1285, 2190, 5666, 25207, 195054, 195164, 18640, 4484, 54260, 96986, 199145, 6, 104378, 874, 48904, 4944, 13159, 874, 39083, 160238, 95766, 4151, 6, 35596, 119718, 7682, 1644, 17310, 37640, 5666, 26, 1982, 192544, 5, 199145, 4852, 36326, 21923, 1285, 10339, 39083, 8903, 1211, 35189, 69355, 705, 14856, 46244, 80885, 16667, 220273, 7243, 5, 1285, 32887, 175483, 1644, 12483, 51678, 1470, 75230, 96743, 16011, 12483, 220224, 6093, 4838, 68697, 54260, 2882, 6428, 99766, 119055, 10705, 220224, 6235, 7916, 49008, 7746, 5, 220224, 163825, 12483, 6, 204932, 149364, 101296, 97634, 4852, 29771, 12483, 2200, 1285, 39293, 6235, 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 ]

[ 12483, 40653, 2205, 1285, 7369, 16932, 3120, 119055, 48904, 12483, 4852, 54260, 6, 104378, 6, 23173, 75230, 2702, 564, 54260, 2050, 6, 59919, 39340, 46244, 5, 4151, 6, 59919, 39340, 46244, 2200, 1285, 657, 71616, 6, 51220, 59919, 39340, 46244, 119055, 6093, 12483, 1470, 75230, 4667, 7243, 74806, 16932, 2882, 37729, 1285, 4838, 1982, 5666, 29766, 24621, 71804, 8903, 3120, 1285, 32887, 175483, 1644, 12483, 5, 95455, 364, 54260, 16803, 36324, 18225, 6, 94741, 63020, 220273, 7243, 80264, 4151, 13342, 5, 292, 874, 48904, 4944, 2865, 39083, 43649, 54260, 8903, 1211, 1285, 32887, 175483, 1644, 12483, 4838, 90848, 1982, 2205, 1285, 6093, 105235, 73880, 84475, 6, 101328, 46244, 12483, 125523, 4151, 6235, 28317, 2882, 2819, 874, 48904, 4944, 2865, 39083, 43449, 54260, 1982, 12483, 220224, 1470, 75230, 1982, 12483, 95455, 4269, 48904, 26394, 17190, 1982, 12483, 5, 292, 55242, 1644, 96986, 39293, 1644, 96986, 165354, 7746, 67882, 4944, 12483, 36324, 4838, 32887, 175483, 13845, 2205, 4151, 1285, 4667, 170479, 37729, 10676, 7508, 55049, 59919, 63864, 170355, 4944, 12483, 85596, 71945, 84475, 170479, 6319, 48775, 20260, 119055, 6093, 12483, 2200, 18225, 170479, 7746, 12012, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 5666, 54260, 15231, 8903, 1211, 2205, 6, 47351, 120202, 6093, 26612, 10918, 68558, 152, 3069, 6, 199511, 10676, 32887, 175483, 13845, 230764, 20315, 2050, 6, 120749, 93975, 1211, 6, 99766, 84475, 1470, 30682, 6, 23173, 75230, 2702, 13342, 101470, 5, 119718, 23173, 7682, 120467, 13845, 69355, 1285, 32887, 175483, 1644, 12483, 119055, 13845, 107581, 116486, 29257, 138194, 12483, 10676, 6, 212915, 26, 2702, 235210, 12483, 15, 10069, 3373, 149364, 101296, 16, 6, 111684, 33716, 4838, 213909, 21106, 15, 35189, 3373, 149364, 2865, 40096, 152185, 167048, 48904, 2932, 16, 26612, 159696, 4484, 2205, 4151, 364, 75230, 4667, 2819, 3069, 235210, 12483, 7265, 10676, 213909, 21106, 6235, 506, 12483, 1285, 6, 225975, 43178, 84577, 4113, 3373, 149364, 2865, 40096, 40697, 6, 73906, 97634, 35189, 12483, 5, 1285, 39293, 84475, 12483, 51678, 3069, 8300, 54260, 8903, 1211, 119055, 6093, 12483, 2200, 99509, 6093, 119055, 6093, 12483, 7265, 564, 137119, 199145, 6, 138194, 50931, 54196, 7243, 8903, 3111, 2932, 72577, 2819, 220224, 364, 54260, 2702, 12483, 6428, 47351, 119055, 23173, 125897, 39293, 84475, 12483, 92500, 55242, 506, 12483, 1470, 75230, 2702, 163139, 1285, 74806, 119718, 39083, 65482, 84475, 12483, 4, 199145, 46711, 73381, 12483, 7746, 29771, 23741, 230764, 1285, 6, 131445, 2200, 55242, 506, 12483, 1470, 75230, 2702, 163139, 1285, 74806, 119718, 39083, 65482, 84475, 12483, 4, 119718, 120467, 46711, 73381, 12483, 7746, 123736, 23741, 230764, 34654, 6, 131445, 3120, 32054, 75230, 12483, 2200, 3120, 874, 114436, 119718, 120467, 43649, 20616, 12483, 4838, 3373, 4667, 230764, 1285, 6, 131445, 5, 3069, 235210, 12483, 7265, 10676, 6235, 506, 2882, 123736, 23741, 2865, 39083, 4838, 1751, 159696, 1644, 17310, 3120, 10676, 120439, 90848, 104855, 4, 95455, 364, 54260, 16803, 3120, 10676, 4852, 92605, 2205, 119055, 13845, 4944, 12483, 34654, 32887, 175483, 1644, 12483, 6235, 7916, 49008, 7746, 5, 1285, 168155, 3069, 29659, 183512, 506, 54260, 16803, 119055, 23173, 7682, 120467, 13845, 5, 18225, 65146, 7746, 95298, 72577, 1470, 54260, 5666, 59919, 105235 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 159696, 8903, 1211, 20315, 2050, 119055, 23173, 7682, 120467, 13845, 199145, 3056, 4838, 30109, 48904, 15307, 54260, 2882, 2200, 6, 159696, 8903, 1211, 10676, 199145, 68313, 7243, 4, 6, 238144, 1644, 4838, 3373, 4667, 12023, 4944, 44779, 4, 292, 2200, 1751, 109636, 42180, 1644, 1285, 199145, 119055, 6093, 12483, 23173, 75230, 2702, 8903, 8903, 1982, 12483, 3120, 1285, 1751, 119718, 710, 152848, 50853, 29771, 20911, 75230, 16847, 4, 292, 564, 174798, 54260, 1982, 12483, 10676, 119718, 23173, 7682, 120467, 13845, 230764, 215031, 26, 1211, 185527, 36324, 148932, 1470, 54260, 59461, 42542, 6428, 135118, 12483, 36324, 6093, 37826, 1285, 30109, 48904, 15307, 54260, 2882, 2200, 36324, 22753, 3056, 55242, 46244, 6235, 55823, 46244, 32792, 5, 20632, 4, 95455, 68313, 1751, 57277, 24152, 40653, 65848, 1982, 12483, 5, 37729, 1285, 1751, 119718, 710, 16747, 13845, 7972, 16932, 40096, 14303, 6235, 159696, 506, 49008, 7746, 4838, 3373, 4667, 4231, 17310, 4113, 874, 114436, 3069, 7916, 13845, 3069, 17806, 165354, 230764, 220224, 123073, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 2200, 10339, 39083, 2932, 32792, 3069, 6, 35596, 20315, 165354, 7243, 8903, 29659, 75230, 2932, 65482, 92500, 7243, 8903, 21066, 75230, 2932, 65482, 30109, 48904, 15307, 54260, 96986, 5, 4151, 88771, 3056, 36324, 14856, 46244, 163139, 10069, 45223, 23741, 874, 114436, 151614, 1982, 12483, 1285, 3373, 149364, 2865, 40096, 40697, 84475, 12483, 132, 30750, 46464, 83182, 2702, 130154, 2702, 16, 6235, 3111, 2932, 99509, 4, 9747, 18225, 170479, 220224, 51678, 55242, 506, 12483, 2200, 111684, 1644, 12483, 4838, 75386, 657, 141847, 149010, 4, 620, 48904, 8903, 76776, 33716, 93975, 874, 59929, 12483, 4, 292, 2200, 95455, 3056, 4484, 54260, 1211, 30109, 48904, 15307, 54260, 2882, 711, 7508, 6093, 88771, 26, 6093, 119055, 23173, 7682, 120467, 13845, 68313, 5, 45521, 17800, 13845, 2882, 99611, 195164, 18640, 55242, 1644, 96986, 5, 45521, 164863, 119273, 7508, 120467, 7243, 2200, 6, 212484, 2882, 7746, 7243, 123736, 1982, 5666, 23173, 12483, 711, 564, 54260, 10676, 88771, 26, 12483, 119718, 23173, 7682, 120467, 13845, 17168, 119718, 23173, 7682, 120467, 13845, 3056, 1285, 1470, 75230, 1982, 12483, 564, 174798, 16011, 65482, 1751, 159696, 1644, 17310, 4838, 55242, 46244, 43649, 23173, 39340, 4, 2451, 3496, 64260, 3131, 6, 225975, 23173, 95455, 67882, 40920, 7243, 1470, 75230, 2702, 4, 6, 238144, 1644, 18225, 42542, 95455, 151614, 1982, 12483, 2200, 7746, 81444, 4667, 10184, 54574, 12483, 6, 119859, 69106, 6235, 4852, 88917, 4, 292, 2200, 18225, 37826, 4838, 14856, 506, 90848, 35189, 119055, 76632, 61397, 17824, 75230, 2702, 12483, 10498, 89184, 5, 6, 104985, 44064, 6, 159696, 8903, 1211, 10676, 21087, 2865, 22426, 97634, 2050, 3120, 85596, 71945, 6, 94741, 63020, 18225, 55242, 46244, 160238, 30473, 40920, 18640, 220224, 1211, 4, 6, 238144, 1644, 37729, 13342, 7916, 13845, 7746, 117902, 25207, 1211, 7265, 1285, 32887, 175483, 1644, 12483, 2200, 1470, 75230, 4667, 4838, 203326, 13845, 7265, 35189, 1470, 54260, 91275, 145161, 17310, 4, 42542, 18225, 4151, 111684, 1644, 12483, 4838, 85596, 71945, 6428, 99766, 119055, 10705, 7369, 119718, 39083, 2882, 6319, 54260, 1211, 874, 39083, 42493, 6235, 159696, 1211, 5, 292, 1285, 10339, 39083, 23269, 3120, 10676, 88771, 4113, 119055, 23173, 7682, 120467, 13845 ]

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

[ 42542, 220224, 1211, 4838, 6, 59919, 21733, 114436, 17310, 3120, 10676, 81763, 3069, 151614, 1982, 12483, 74806, 1644, 91595, 149010, 1211, 6, 59919, 39340, 46244, 84475, 6, 47351, 123736, 56703, 119718, 26612, 4944, 17310, 3120, 1285, 32887, 175483, 1644, 12483, 2205, 220224, 6093, 23173, 1982, 54260, 2882, 4838, 75386, 6, 235210, 12483, 80453, 142429, 905, 138194, 186797, 4113, 6, 29766, 119859, 49008, 5, 292, 6, 104985, 95455, 3056, 119718, 710, 35189, 6235, 225975, 2882, 43449, 75230, 4852, 56170, 19302, 905, 8903, 4, 6, 48775, 10918, 239162, 28726, 14856, 110970, 12483, 4, 199145, 40653, 23822, 54260, 1982, 12483, 7746, 42493, 220224, 6093, 3069, 29659, 183512, 2200, 163825, 12483, 7746, 42493, 1470, 54260, 1211, 6319, 54260, 1211, 25616, 48904, 15307, 54260, 96986, 4, 6, 238144, 1644, 1285, 6, 76776, 90848, 12130, 199145, 40653, 23822, 54260, 1982, 12483, 7746, 76961, 95564, 171428, 3120, 1285, 39293, 119055, 6093, 16932, 6, 59919, 105235, 506, 12483, 36324, 220224, 21923, 107020, 204403, 2882, 35596, 132, 10705, 5666, 55823, 506, 18640, 73784, 6, 59919, 39340, 46244, 16, 2200, 874, 54260, 1211, 1470, 75230, 42410, 44478, 17310, 42542, 220224, 1751, 93704, 12483, 48904, 29659, 40096, 220224, 3069, 45223, 55823, 1211, 38, 292, 6, 59919, 159696, 13805, 1644, 109226, 3120, 119055, 23173, 7682, 120467, 13845, 144754, 221895, 30109, 48904, 15307, 54260, 96986, 3120, 4151, 6235, 8903, 16747, 4, 163139, 4838, 189811, 4, 137, 119718, 59929, 6093, 95766, 364, 142429, 12483, 155, 84475, 221895, 2702, 4, 51678, 7243, 46711, 73381, 12483, 564, 54260, 6319, 54260, 1211, 6235, 14004, 1982, 96986, 81444, 20911, 29766, 5, 292, 1285, 34482, 170355, 4944, 12483, 3120, 119055, 23173, 7682, 120467, 13845, 51678, 220224, 1211, 12, 18225, 165354, 4151, 144754, 160751, 75230, 25207, 1211, 119055, 6093, 12483, 2819, 1285, 6, 208048, 97634, 9719, 3120, 1285, 84475, 12483, 3120, 20315, 2050, 6, 99766, 42542, 220224, 1211, 36324, 75230, 36324, 220224, 6093, 119055, 23173, 125897, 168155, 3069, 29659, 183512, 3056, 133190, 2865, 21106, 2819, 3069, 7916, 13845, 43649, 20616, 12483, 230764, 1470, 54260, 1211, 6, 99766, 2819, 6, 59919, 29659, 137377, 17310, 2200, 364, 23173, 16932, 165284, 54574, 5, 163139, 9213, 46244, 55242, 506, 2882, 3056, 1285, 34482, 170355, 107581, 220273, 7243, 6319, 54260, 1211, 74806, 1644, 91595, 149010, 4, 3496, 64260, 3131, 74806, 1644, 91595, 149010, 45521, 506, 44478, 12483, 51678, 1285, 10213, 218710, 109226, 7369, 61397, 67882, 4944, 12483, 5, 79761, 87442, 4113, 10213, 506, 48904, 2442, 1644, 17310, 2205, 6, 104985, 6428, 47351, 3523, 75230, 15231, 2932, 119055, 12483, 51723, 657, 54260, 2648, 2882, 3120, 10676, 119055, 23173, 7682, 120467, 13845, 2200, 119055, 12483, 18225, 42542, 192183, 16803, 40096, 9221, 12483, 47351, 88771, 26, 12483, 30109, 48904, 15307, 26612, 23741, 12483, 3069, 29659, 183512, 5, 2205, 4838, 122868, 63593, 54260, 1211, 6, 94741, 63020, 18225, 39293, 506, 12483, 36324, 1285, 45521, 506, 44478, 12483, 2205, 10676, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 170479, 12483, 1470, 75230, 2702, 8903, 1982, 13159, 77188, 119055, 6093, 12483, 4, 1470, 75230, 1982, 220224, 21923, 56170, 47351, 2819, 1285, 32054, 29659, 137377, 17310, 65146, 6235, 506, 54260, 21295, 119055, 6093, 12483, 2819, 18225, 6, 94741, 63020, 1470, 75230, 111137, 1982, 12483, 95455 ]

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

[ 43649, 20616, 12483, 230764, 6, 47351, 99766, 2819, 4838, 72577, 6093, 185182, 65442, 92605, 15, 202075, 109636, 16667, 29766, 49792, 16, 42542, 6, 59919, 23822, 54260, 1982, 12483, 1285, 13903, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 142196, 29025, 12483, 2819, 657, 75230, 119718, 23173, 24621, 84475, 21374, 506, 28726, 22753, 53611, 2442, 6093, 177274, 1211, 166464, 56170, 26612, 364, 21106, 75578, 97816, 5, 6235, 506, 12483, 1751, 93704, 2882, 6235, 159696, 506, 5666, 32792, 42493, 5, 292, 199145, 6, 48904, 69801, 48904, 98833, 1285, 120202, 6093, 40096, 710, 159696, 10213, 506, 183512, 1644, 17310, 4, 10213, 105235, 506, 2882, 22753, 2205, 10676, 4, 36324, 51723, 9915, 54260, 2648, 2882, 1470, 75230, 2050, 1285, 74806, 119718, 39083, 65482, 84475, 12483, 84475, 18225, 12023, 16747, 2882, 220224, 10705, 13497, 6093, 4, 36324, 75230, 36324, 95455, 564, 137119, 170479, 7243, 14856, 46244, 51678, 147582, 2702, 12483, 37729, 4852, 54260, 2200, 170479, 7746, 8248, 4944, 12483, 221895, 6, 159696, 8903, 1211, 5, 95455, 6, 94741, 63020, 6, 104985, 6235, 80264, 159696, 25207, 1211, 2205, 55242, 46244, 55242, 21295, 65482, 2200, 148707, 186145, 24621, 61541, 4113, 4, 119055, 10705, 1285, 657, 54260, 20315, 1211, 21923, 17824, 75230, 36419, 2200, 6319, 54260, 1211, 69529, 4838, 83182, 7265, 13845, 165354, 7243, 163139, 24152, 12483, 5, 292, 221895, 7508, 17268, 20308, 4, 163139, 895, 87442, 2442, 31623, 131044, 6, 29060, 8300, 5, 4, 144754, 119055, 13845, 107581, 1285, 7508, 218241, 205416, 4852, 75230, 2932, 2865, 183718, 7369, 29659, 75230, 49008, 123736, 23741, 1285, 6, 76776, 90848, 12130, 4, 4852, 171428, 123736, 42023, 7369, 7201, 39083, 2932, 5, 506, 6093, 101296, 22680, 142429, 15907, 78653, 506, 6093, 101296, 22680, 142429, 15907, 78653, 364, 54260, 16803, 4838, 3069, 29659, 183512, 2205, 119055, 13845, 4944, 12483, 4838, 14856, 191538, 8580, 9213, 32054, 75230, 9213, 6, 212915, 2205, 4151, 39293, 1644, 75578, 9424, 54260, 2882, 5, 215031, 14856, 110970, 119055, 39083, 2882, 8903, 2648, 23173, 23741, 151614, 1982, 12483, 22639, 6093, 149010, 2200, 1470, 75230, 101608, 149010, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 69355, 564, 54260, 20315, 73095, 13805, 12483, 5, 95455, 5332, 215052, 34533, 54196, 42493, 2200, 4, 125523, 76961, 6, 48904, 119859, 1982, 12483, 4, 506, 64260, 6319, 54260, 1211, 874, 39083, 42493, 5332, 215052, 34533, 54196, 5, 13159, 42542, 95298, 160238, 104378, 36324, 4838, 14856, 110970, 7265, 22639, 6093, 149010, 6, 238144, 1982, 149010, 6, 29766, 119859, 49008, 15, 2808, 54260, 6093, 105235, 4484, 4, 6235, 75578, 11556, 16932, 4, 19767, 12483, 2200, 1751, 54260, 20315, 16, 170479, 30750, 30473, 26394, 1211, 29434, 75230, 2702, 186797, 4113, 6, 29766, 119859, 49008, 199145, 170479, 12483, 220224, 1211, 6, 20616, 5666, 32792, 3069, 1285, 14856, 50856, 7972, 30750, 5, 1285, 17824, 75230, 36419, 3944, 109636, 1211, 51678, 220224, 1211, 6, 59919, 1644, 141847, 77188, 2200, 1470, 75230, 2702, 39293, 506, 12483, 163139, 2648, 120467, 120439, 90848, 104855, 4, 4151, 65902, 205416, 448, 42542, 220224, 1211, 6, 59919, 23847, 13159, 77188, 2200, 1470, 54260, 2702, 39293, 506, 12483, 163139, 4838, 6, 109636, 99611, 5, 564, 54260, 26612, 6, 133111, 42542, 95455, 120439, 90848, 202936, 220224, 1211 ]

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

[ 14856, 506, 90848, 35189, 119055, 76632, 61397, 74806, 204403, 1644, 96986, 2200, 1470, 75230, 2702, 39293, 506, 12483, 163139, 1285, 17824, 75230, 36419, 3944, 109636, 1211, 4, 35189, 6, 109636, 99611, 42542, 220224, 1211, 3069, 19302, 54260, 1211, 5, 123736, 23741, 37826, 215031, 14856, 110970, 125523, 221895, 2702, 159390, 37640, 5666, 26, 2050, 9424, 238144, 96986, 74806, 1644, 91595, 2819, 4838, 6, 212915, 7265, 4838, 6, 238144, 90536, 104238, 29659, 710, 24621, 4, 4838, 32054, 75230, 7265, 4838, 191795, 38054, 4, 2200, 36324, 75230, 6, 238144, 16932, 5, 165592, 13845, 107581, 10339, 109316, 21923, 55242, 1644, 96986, 2200, 220224, 119055, 39083, 96986, 81444, 42493, 4151, 87311, 13497, 6235, 119718, 29766, 12483, 4, 119055, 12483, 42493, 1285, 95298, 21847, 75230, 1982, 172398, 199145, 6, 138194, 50931, 9221, 12483, 6, 159696, 8903, 1211, 10676, 2205, 6, 172060, 181615, 14088, 5, 14004, 2865, 204403, 18415, 69106, 12951, 183512, 123073, 6, 208048, 97634, 2865, 40697, 4838, 113889, 101296, 7972, 12483, 5, 13159, 21923, 125523, 56170, 47351, 14856, 46244, 123073, 6, 208048, 97634, 2865, 40697, 2200, 10184, 30473, 39083, 29766, 2932, 40697, 4838, 113889, 101296, 7972, 12483, 4, 95298, 220224, 21923, 42493, 163139, 40920, 18640, 5, 1470, 54260, 23269, 199145, 18225, 30750, 8903, 2932, 35596, 6, 73381, 16932, 3056, 4151, 874, 48904, 195054, 6, 47351, 7508, 6093, 874, 172398, 110129, 26612, 10918, 68558, 4, 95455, 364, 54260, 16803, 36324, 4838, 32054, 75230, 37826, 6319, 54260, 1211, 874, 39083, 42493, 14004, 46244, 21776, 195054, 5, 9213, 506, 25207, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 21923, 4151, 1982, 54260, 72577, 84475, 31249, 91595, 6, 35596, 119718, 125897, 21295, 5, 95455, 3056, 14856, 46244, 80885, 16667, 2190, 5927, 54260, 22849, 23173, 5, 14004, 2865, 204403, 18415, 69106, 10069, 107020, 204403, 18415, 69106, 84475, 1285, 74806, 1644, 91595, 149010, 2190, 5666, 55823, 506, 18640, 4484, 54260, 2882, 42542, 4852, 54260, 1211, 6, 47351, 123736, 48974, 48904, 40697, 4, 95455, 364, 54260, 16803, 119055, 12483, 1285, 73095, 13805, 905, 109316, 6, 29766, 119859, 49008, 21923, 219947, 133190, 2865, 21106, 4, 84475, 4838, 7243, 29766, 2932, 48904, 40697, 4, 119055, 12483, 1285, 6, 29766, 119859, 49008, 21923, 7201, 39083, 29659, 186797, 133190, 2865, 21106, 4, 6, 104985, 220224, 6093, 6, 218872, 68558, 4, 220224, 6093, 4838, 68697, 54260, 2882, 4, 3056, 8903, 29659, 77188, 5, 1285, 200795, 4838, 33716, 107020, 204403, 18415, 69106, 3056, 45521, 17800, 13845, 2882, 99611, 195164, 710, 65442, 13845, 96986, 5, 18225, 42542, 220224, 1211, 107020, 204403, 2882, 35596, 56170, 47783, 84475, 56170, 4838, 58571, 26394, 4667, 9424, 54260, 2882, 2819, 2205, 4151, 9424, 54260, 2882, 119055, 12483, 18225, 3056, 2190, 5666, 55823, 506, 18640, 4, 42542, 18225, 220224, 1211, 7201, 39083, 29659, 186797, 84475, 16175, 54260, 1644, 238144, 39293, 4, 14856, 46244, 84475, 119055, 76632, 61397, 4, 107020, 204403, 2882, 35596, 5, 18225, 42542, 6, 59919, 1644, 9221, 12483, 2205, 6, 119859, 57619, 12483, 6, 135542, 71616, 73784, 6, 59919, 39340, 46244, 4, 3069, 3373, 54260, 119055, 13845, 107581, 6, 149364, 4852, 68558, 84475, 43449, 75230, 4852, 3069, 1211, 26612, 6235, 119718, 710, 101608, 6, 149364, 4852, 68558, 2819, 18225, 42542, 151614, 1982, 12483, 1285, 657, 71616 ]

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

[ 2200, 6, 5, 13456, 22151, 54260, 1211, 45521, 506, 18640, 3069, 6, 59919, 39340, 46244, 12483, 2819, 95455, 3056, 1285, 45521, 93509, 80453, 54260, 18415, 80885, 160238, 2050, 5, 1285, 107020, 204403, 18415, 69106, 3056, 564, 48350, 29771, 83182, 2702, 163139, 40920, 18640, 564, 54260, 2050, 6, 212915, 4, 10069, 32054, 75230, 220224, 186797, 14856, 46244, 84475, 119055, 76632, 61397, 112216, 21087, 119718, 2205, 10676, 73095, 13805, 905, 109316, 1211, 6, 129071, 5, 564, 54260, 6, 21106, 18415, 657, 54260, 2882, 3056, 1285, 107020, 204403, 18415, 69106, 55242, 46244, 45521, 93509, 80453, 54260, 2882, 5, 1982, 54260, 4231, 17310, 4113, 657, 54260, 2882, 3056, 22753, 14856, 46244, 80885, 16667, 4838, 10339, 39083, 8903, 3120, 1470, 54260, 50856, 16870, 161829, 4, 3120, 160238, 105235, 1644, 17310, 4, 3120, 6, 59919, 1644, 9221, 12483, 10676, 3069, 23822, 75230, 12483, 3069, 7746, 21106, 54260, 1211, 5, 95298, 874, 48904, 4944, 63593, 39083, 3056, 22753, 4838, 10339, 39083, 8903, 3120, 3069, 7916, 13845, 6, 59919, 39340, 46244, 4, 29771, 35189, 3120, 3069, 7916, 13845, 1470, 75230, 22680, 4113, 2932, 17310, 123736, 42023, 6, 59919, 39340, 46244, 4, 84475, 220273, 3120, 874, 48904, 195054, 47351, 6, 59919, 39340, 46244, 2205, 1285, 6, 101328, 46244, 12483, 2205, 119055, 13845, 107581, 7369, 3056, 2190, 5666, 75578, 23174, 2882, 3523, 75230, 15231, 2932, 5, 292, 2181, 6, 186145, 23741, 7746, 1470, 75230, 4667, 123736, 23741, 36324, 2205, 4151, 184639, 9424, 54260, 2882, 137, 113889, 4667, 35189, 172312, 155, 170479, 4151, 4231, 17310, 6093, 212915, 42493, 51678, 151614, 1982, 12483, 6, 59919, 39340, 46244, 4, 6, 238144, 44478, 3056, 3069, 1751, 57277, 24152, 1470, 75230, 111137, 25207, 98833, 84475, 6, 238144, 1644, 7369, 6, 238144, 16803, 125523, 42493, 15276, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 119718, 710, 36324, 75230, 5, 95455, 3056, 42493, 6319, 54260, 1211, 107020, 204403, 18415, 69106, 5, 8947, 21776, 39478, 54196, 7746, 1982, 21106, 2648, 3120, 7746, 6, 21106, 54260, 1211, 5, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 3056, 1285, 107020, 204403, 18415, 69106, 506, 54260, 22849, 23173, 37729, 98252, 84316, 8903, 1211, 10676, 3069, 23822, 75230, 12483, 3069, 7746, 6, 21106, 54260, 1211, 4, 37729, 4838, 113889, 70598, 21106, 17190, 1982, 12483, 2205, 4838, 122868, 63593, 54260, 1211, 2200, 4838, 133190, 2865, 21106, 74806, 1644, 91595, 32792, 17190, 1982, 12483, 1982, 79989, 4, 874, 48904, 4944, 2865, 39083, 37729, 4838, 10339, 39083, 29659, 186797, 4113, 74806, 1644, 91595, 149010, 22444, 506, 4113, 56170, 26612, 6235, 119718, 710, 101608, 9424, 54260, 2882, 4, 37729, 6, 75290, 149364, 149010, 9213, 1982, 109226, 4, 10184, 13845, 6235, 506, 12483, 4, 37729, 26612, 224220, 12890, 76776, 10918, 68558, 3120, 6319, 21106, 18415, 2200, 119055, 23173, 24621, 10213, 35189, 5, 14856, 10069, 78683, 96302, 12483, 4852, 171428, 6, 127827, 6093, 123736, 42023, 6319, 54260, 1211, 69529, 163139, 24152, 17310, 84475, 118473, 32792, 4, 6, 238144, 1644, 119055, 12483, 220224, 119718, 9221, 165354, 56170, 10676, 1470, 75230, 8903, 5666, 181615, 4, 1751, 119718, 26612, 4944, 12483, 220224, 123736, 1982, 56170, 4151, 3069, 17494, 217814, 5, 165592, 75230, 6, 71804, 23405, 163139, 97995, 37016, 10918 ]

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

[ 239162, 1211, 4, 95455, 364, 54260, 16803, 43649, 54260, 6293, 159696, 25207, 1211, 3120, 10676, 115825, 2648, 4, 21923, 178748, 32792, 4, 3056, 56170, 47351, 4838, 3373, 4667, 151614, 110968, 23405, 2808, 75230, 6293, 216333, 17310, 84475, 364, 54260, 1644, 17310, 37729, 1285, 1470, 75230, 12890, 8903, 174538, 12483, 2200, 119055, 12483, 4852, 54260, 45223, 55823, 1211, 7243, 4, 37729, 10213, 506, 183512, 1644, 109226, 7265, 3373, 171433, 20315, 1211, 15, 26612, 235210, 8580, 58573, 21106, 65482, 224252, 15529, 96302, 12483, 16, 2200, 7265, 1470, 54260, 110970, 80453, 31623, 109226, 5, 6, 109316, 25616, 65848, 8300, 131044, 163139, 2442, 20911, 64699, 6319, 54260, 1211, 874, 39083, 7243, 5, 10069, 10213, 3131, 5666, 54260, 2648, 17310, 144754, 1285, 155787, 12483, 4, 199145, 34076, 75230, 1982, 12483, 2205, 6, 21106, 7611, 4, 199145, 137, 2932, 64260, 37826, 160751, 64260, 12483, 2004, 151614, 1982, 12483, 20033, 7243, 199145, 3069, 7508, 6093, 12483, 5, 220224, 34076, 75230, 1982, 12483, 4, 27855, 51723, 4852, 18167, 7243, 7265, 220224, 6093, 6, 172039, 2200, 10184, 46244, 12483, 7746, 230764, 125523, 220224, 6093, 21776, 7972, 46677, 168155, 40653, 8300, 54260, 2932, 17310, 5, 8947, 21923, 95298, 81444, 9424, 119718, 40697, 1211, 178766, 4113, 155787, 12483, 4838, 3373, 4667, 4, 199145, 163139, 1644, 12483, 6, 57277, 57619, 12483, 230764, 76961, 77756, 15050, 4, 364, 21106, 30750, 4, 10339, 77188, 13845, 4, 4838, 40920, 13845, 14856, 110970, 12483, 4, 4838, 6, 56052, 11211, 204403, 84316, 96986, 4, 199145, 21923, 160751, 75230, 25207, 1211, 8903, 119718, 29766, 12483, 4838, 75386, 6, 47351, 1470, 75230, 2702, 119718, 10705, 13805, 3120, 4151, 32054, 54260, 20315, 20260, 6093, 152185, 116486, 22426, 26612, 2932, 48904, 94741, 5, 1285, 11211, 204403, 84316, 96986, 3120, 4151, 6, 21106, 16932, 131397, 10339, 147713, 12483, 8947, 12483, 38211, 9221, 4, 159696, 1211, 6319, 54260, 59461, 37826, 220224, 7243, 6235, 39293, 506, 12483, 4, 2200, 56170, 26, 1211, 71107, 10339, 147713, 12483, 220224, 4852, 54260, 1211, 4269, 64260, 26, 2702, 80839, 2865, 80885, 27855, 55823, 44779, 5, 1285, 364, 54260, 50778, 8903, 9424, 18279, 37016, 13159, 163139, 1644, 12483, 4, 165592, 18225, 170479, 220224, 6, 23173, 54260, 5666, 25207, 4944, 171428, 2205, 1285, 7508, 54260, 506, 12483, 3120, 1285, 1470, 75230, 111137, 21733, 6093, 18415, 4, 71804, 4944, 12483, 7746, 1470, 75230, 2702, 3120, 6, 63188, 12483, 137, 141562, 2865, 92605, 2004, 2200, 119055, 12483, 2181, 107776, 3069, 5332, 22426, 13159, 4, 85465, 200117, 12483, 220224, 874, 151461, 56170, 10676, 25093, 74197, 620, 71107, 4, 2200, 9585, 165354, 7746, 3069, 1470, 30682, 5, 4852, 54260, 6428, 135118, 12483, 7243, 163139, 1285, 6, 21106, 18415, 21776, 46685, 152, 137, 46891, 3056, 7369, 2932, 64260, 1470, 75230, 4667, 5332, 22426, 21292, 119055, 77188, 4, 657, 29771, 62808, 1470, 30682, 1470, 75230, 4667, 4838, 203326, 13845, 1285, 171428, 155, 38, 3523, 54260, 1211, 4, 10069, 564, 29060, 5666, 54260, 2648, 17310, 19308, 4852, 54260, 21923, 6, 57277, 39340, 99509, 7265, 4269, 64260, 2205, 4151, 3523, 83586, 4, 220224, 21923, 220273, 7243, 2442, 54260, 6293, 7746, 3069, 10213, 22680, 54260, 12483, 3120, 1470, 30682, 4, 6, 104985, 220224, 163139, 1644, 12483, 10213, 3131, 119718, 710, 47526 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10676, 22680, 54260, 12483, 6235, 94741, 20260, 5, 3373, 26, 68313, 81444, 4667, 874, 142429, 53414, 4, 3373, 26, 68313, 81444, 4667, 48706, 54260, 128117, 4, 119055, 12483, 51723, 34076, 75230, 47332, 7243, 18225, 564, 37016, 177148, 81444, 4667, 4838, 6, 113889, 51723, 4, 4838, 75386, 4838, 6235, 44693, 20315, 16932, 4, 160238, 2882, 8903, 25391, 15907, 114436, 14856, 110970, 5, 56170, 199145, 7243, 705, 40653, 506, 75230, 22426, 2882, 4, 36324, 2181, 42542, 45223, 55823, 1211, 3069, 1285, 78278, 23269, 2702, 5, 220224, 6, 238144, 2702, 12483, 7243, 15, 92500, 2648, 120467, 21776, 119718, 39083, 905, 10918, 239162, 25207, 6, 172060, 181615, 14088, 10339, 142429, 77188, 8947, 7243, 247, 36324, 119947, 3069, 4852, 54260, 1211, 4838, 160238, 2882, 8903, 25391, 15907, 114436, 14856, 110970, 65146, 18225, 67882, 4944, 12483, 120202, 59919, 4, 65146, 18225, 115222, 2865, 22426, 55823, 1211, 5, 119055, 12483, 18225, 119055, 39083, 2882, 6, 190135, 6, 64260, 1285, 75578, 23174, 17310, 3069, 76961, 21776, 119718, 39083, 92866, 24001, 59461, 12483, 2200, 32054, 54260, 20315, 20260, 6093, 4, 163139, 6, 159696, 110317, 119718, 39083, 96986, 6428, 47351, 6235, 159696, 1211, 711, 94741, 40920, 7746, 4, 199145, 56170, 6, 47351, 130170, 3131, 54260, 2648, 9424, 119718, 40697, 1211, 9424, 18279, 37016, 13159, 705, 87637, 204403, 84316, 96986, 43449, 54260, 1982, 12483, 11211, 204403, 84316, 96986, 4, 1470, 75230, 1982, 4269, 64260, 2050, 7201, 29766, 40920, 93975, 84475, 22680, 54260, 20315, 20260, 6093, 40697, 4, 6, 21106, 7611, 1470, 54260, 1211, 30654, 506, 711, 3373, 26, 68313, 95298, 160238, 2882, 7243, 36324, 75230, 12, 37271, 10705, 54561, 123073, 155, 11211, 204403, 84316, 96986, 4, 1285, 6, 87311, 35189, 23269, 4, 21923, 81444, 4667, 34654, 7369, 2932, 80885, 5, 7201, 23173, 199145, 705, 4838, 564, 54260, 3131, 22426, 710, 13845, 152, 8947, 43649, 20616, 2882, 2205, 4151, 81271, 4, 6150, 4269, 64260, 506, 64260, 10213, 95494, 55823, 1211, 4838, 6, 159696, 21295, 7265, 6, 21106, 7611, 4, 199145, 2205, 9213, 46244, 3056, 2205, 55242, 13805, 18415, 2932, 5, 36324, 18225, 163139, 1644, 4, 34076, 75230, 47332, 18225, 5, 107776, 4151, 137, 7201, 99766, 8903, 25391, 15907, 114436, 155, 92500, 4151, 6, 48775, 10918, 232187, 1644, 34533, 2200, 137, 6093, 21733, 77188, 155, 1285, 55242, 13805, 193012, 21923, 39293, 13805, 137, 8903, 29771, 203749, 40697, 41764, 89184, 142429, 12483, 2909, 3120, 119055, 48904, 12483, 3056, 6235, 13982, 109226, 705, 1470, 10918, 16747, 68313, 1751, 75230, 1211, 1285, 81271, 163139, 35189, 6, 39083, 2442, 54260, 2882, 4, 2200, 148932, 364, 21106, 25491, 75230, 111137, 21733, 6093, 16932, 119055, 29060, 7746, 6428, 135118, 12483, 152, 4269, 64260, 3056, 7243, 36324, 75230, 17190, 104238, 32792, 4, 163139, 1285, 119718, 710, 80885, 32054, 54260, 20315, 20260, 6093, 6, 87311, 54574, 12483, 1470, 30682, 2819, 44064, 4838, 137, 8903, 44693, 20315, 16932, 155, 178748, 21847, 75230, 1982, 12483, 2205, 4151, 81271, 152, 22753, 3056, 81444, 4667, 163139, 2702, 43178, 95494, 23741, 32792, 7369, 21733, 77188, 711, 2451, 2200, 36324, 75230, 119055, 77188, 3120, 10676, 40653, 240863, 10339, 119718, 26, 2050, 7508, 75230, 96986, 6, 448, 4838, 74806, 710, 4944, 18415, 7265, 137, 158853, 2882, 2200, 5332, 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 ]

[ 30750, 2004, 2200, 36324, 75230, 119055, 6093, 12483, 76961, 119055, 10705, 83182, 137, 59919, 105235, 16747, 32792, 2200, 874, 43178, 32792, 2909, 199145, 56170, 4838, 6, 109995, 151614, 1982, 12483, 1285, 224220, 22426, 90848, 189098, 12483, 705, 36324, 9213, 46244, 34076, 75230, 47332, 4, 235466, 230764, 1285, 364, 54260, 7972, 8903, 71180, 23741, 7265, 14004, 46244, 6, 119859, 69106, 6235, 159696, 1982, 91595, 2702, 3120, 45521, 95064, 2702, 114436, 4, 1751, 114436, 2200, 7544, 146598, 6093, 4, 144754, 506, 39083, 29771, 46677, 4, 7265, 9213, 506, 25207, 22518, 37016, 149010, 6, 86270, 54260, 96986, 2200, 7265, 9213, 130734, 48904, 26394, 1211, 54745, 2865, 29766, 21106, 15533, 9221, 141943, 12483, 63259, 7611, 5, 6, 212484, 2882, 22753, 163139, 22753, 2205, 2819, 45521, 95064, 59461, 2882, 42493, 4, 6, 59919, 192539, 2882, 42493, 5, 9934, 35596, 9213, 46244, 95298, 14856, 110970, 12483, 4, 199145, 85465, 200117, 12483, 657, 17645, 1982, 3069, 6428, 135118, 12483, 2200, 3069, 160238, 3131, 12483, 32054, 54260, 4, 170479, 6428, 47351, 1470, 54260, 6093, 874, 15662, 17168, 35189, 88771, 6, 159696, 8903, 1211, 74806, 28726, 47332, 2702, 28726, 1982, 12483, 23173, 1982, 54260, 96986, 4, 6, 208048, 1644, 15533, 9221, 12483, 4, 123736, 1982, 159696, 8903, 1211, 2200, 7369, 29659, 4, 119055, 12483, 9213, 46244, 9934, 35596, 6, 130991, 3069, 4151, 40653, 8300, 54260, 2932, 17310, 4, 36324, 8947, 3056, 1470, 54260, 4667, 7243, 178748, 32792, 3069, 21847, 75230, 1982, 12483, 4, 6428, 47351, 119055, 23173, 23741, 4838, 159696, 4484, 76961, 2702, 63259, 147455, 13159, 4, 199145, 9213, 46244, 37826, 6235, 9221, 3131, 26, 13497, 3120, 40026, 506, 123073, 110167, 850, 5, 95298, 3069, 6093, 29659, 160238, 29659, 7746, 6, 21106, 54260, 1211, 26217, 2882, 1470, 75230, 2702, 4, 192183, 226112, 1644, 54196, 7746, 72577, 4, 2200, 6, 104985, 119055, 12483, 76961, 18133, 20260, 109316, 163139, 20260, 4113, 44779, 3120, 1470, 54260, 6093, 3523, 83586, 21923, 6, 61397, 54260, 7511, 13497, 6235, 119718, 29766, 12483, 3120, 26, 2050, 145813, 23174, 4113, 159696, 1982, 2702, 4, 119055, 12483, 9213, 46244, 6319, 35596, 17806, 165354, 10676, 17190, 1982, 12483, 2200, 4151, 6, 76776, 29631, 2205, 22426, 12130, 6, 23173, 54260, 1211, 7265, 123736, 7201, 65482, 1470, 75230, 8903, 1211, 4, 7265, 6, 47351, 88771, 26, 12483, 119055, 10705, 110970, 125523, 3944, 40920, 4, 94741, 1211, 9934, 35596, 9213, 46244, 32054, 54260, 20315, 20260, 6093, 5, 2200, 125523, 10676, 76961, 51723, 6, 59919, 71804, 23405, 2882, 4852, 18167, 125523, 1470, 54260, 1211, 6, 170355, 4667, 152, 3069, 220224, 1211, 5332, 46244, 32792, 2200, 1470, 75230, 7201, 120749, 18640, 2819, 3069, 6, 80264, 4, 13342, 364, 183512, 1644, 12483, 36324, 75230, 163139, 18225, 54745, 185226, 5, 8300, 119718, 40697, 1211, 1285, 4838, 33716, 137, 6093, 21733, 6093, 109226, 2004, 163139, 6255, 151614, 1982, 220224, 1470, 75230, 1982, 12483, 10213, 65848, 1982, 12483, 4, 3056, 1470, 75230, 4667, 1285, 7369, 21733, 6093, 17310, 6, 159696, 8903, 1211, 4151, 24012, 34709, 710, 106504, 54260, 2882, 3120, 4151, 2865, 24248, 5, 8947, 21923, 81444, 4838, 3373, 4667, 36324, 75230, 6235, 76776, 194734, 32054, 54260, 20315, 20260, 6093, 4, 199145, 657, 29766, 104149, 10213, 3131, 5666, 54260, 20315 ]

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

[ 1211, 220224, 123073, 114955, 4, 2200, 119055, 12483, 18225, 129165, 98833, 220224, 4, 56170, 119718, 120467, 4852, 54260, 188485, 8947, 4, 6, 225975, 12483, 220224, 4, 36324, 2181, 3056, 6235, 4852, 88917, 5, 129165, 98833, 4852, 36326, 220224, 6, 238144, 16932, 4, 56170, 119718, 120467, 3056, 2181, 6235, 4852, 88917, 4, 119055, 109316, 1211, 220224, 7243, 163139, 2702, 12483, 199145, 3069, 35596, 59919, 12483, 5, 20632, 4, 657, 29771, 62808, 81444, 55242, 506, 12483, 4, 199145, 56170, 4838, 10213, 32670, 17310, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 37826, 3069, 4151, 6235, 46464, 166968, 54260, 2882, 2200, 163139, 6, 238144, 2882, 18225, 42542, 6, 23173, 54260, 110970, 28726, 109636, 1211, 1285, 163139, 4944, 43178, 95494, 23741, 3069, 45223, 55823, 1211, 10676, 6, 21106, 96986, 21776, 7972, 46677, 104149, 6235, 13458, 75230, 4667, 5, 168892, 10213, 506, 75230, 22426, 18415, 4, 36324, 1285, 201548, 3056, 220273, 7243, 6319, 54260, 1211, 14856, 10069, 10918, 207591, 73381, 48775, 8903, 5, 148932, 6, 238144, 16803, 36324, 1285, 77775, 21776, 186461, 710, 68558, 10213, 55823, 506, 21295, 1285, 2865, 24248, 4, 4838, 75386, 4838, 21776, 7972, 46677, 39293, 3523, 75230, 2882, 119718, 186797, 4484, 54260, 2882, 5, 8947, 3056, 4838, 1982, 88917, 7265, 4269, 64260, 4, 8947, 3056, 4838, 37640, 16747, 26612, 96302, 21106, 6093, 130170, 16629, 16870, 9424, 119718, 40697, 1211, 185758, 12483, 2200, 46050, 80885, 1211, 5, 76961, 42493, 1982, 114001, 2882, 65482, 119055, 6093, 12483, 10213, 236376, 21106, 2702, 19302, 114436, 2205, 119055, 77188, 4, 163139, 20033, 4, 199145, 151614, 1982, 12483, 10676, 6, 156325, 4269, 64260, 6, 59919, 71804, 23405, 96986, 3373, 15289, 5, 8947, 3056, 56170, 155787, 12483, 95455, 4, 199145, 1285, 16175, 75230, 55823, 3056, 56170, 84316, 80885, 1211, 5, 6255, 7501, 162926, 4, 36324, 119055, 12483, 76961, 81444, 20911, 75230, 16847, 2200, 163139, 2702, 43178, 95494, 23741, 114349, 114436, 3120, 4151, 6, 159696, 21295, 119055, 39083, 96986, 6235, 225975, 2882, 4, 36324, 1285, 201548, 3056, 10705, 2865, 8903, 4852, 88917, 4, 119055, 39083, 96986, 1285, 34076, 75230, 12890, 8903, 155787, 12483, 220224, 7243, 6235, 7201, 39083, 98833, 4, 3523, 103182, 64260, 26, 2702, 564, 123073, 54574, 5, 1285, 88771, 25207, 7972, 46677, 39293, 155787, 12483, 6428, 23173, 55823, 1211, 6319, 54260, 1211, 69529, 7369, 21733, 6093, 17310, 152, 220224, 34076, 75230, 1982, 12483, 4, 2200, 95455, 3056, 220224, 6235, 3111, 2932, 5, 95298, 199145, 6, 225975, 12483, 10069, 10213, 3131, 5666, 54260, 2442, 17310, 18949, 10069, 221895, 4, 119055, 13845, 107581, 8248, 4944, 12483, 56170, 7746, 62113, 143712, 4, 9747, 220224, 6093, 34076, 75230, 1982, 12483, 3069, 59919, 35596, 59919, 12483, 56170, 10676, 3523, 54260, 12483, 4269, 54260, 16803, 705, 137, 110856, 12666, 46050, 80885, 1211, 10213, 3131, 5666, 54260, 20315, 1211, 220224, 123073, 114955, 6, 159696, 8903, 1211, 6235, 46464, 166968, 54260, 2882, 4, 44064, 81444, 20911, 75230, 16847, 6, 225975, 12483, 4, 165592, 8947, 3056, 203013, 2909, 200795, 16667, 6, 225975, 12483, 95455, 6, 104985, 119055, 76632, 8903, 81444, 20911, 75230, 16847, 2200, 9424, 119718, 23173, 1285, 14856, 46244, 80885, 155787, 12483, 5, 6, 104985, 119055, 12483, 44064, 1470, 54260, 7511, 8903, 9934, 29766, 8903, 1211, 95455, 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 ]

[ 101328, 4, 3056, 8947, 125523, 42493, 6235, 13982, 109226, 36324, 220224, 21923, 6, 61397, 91595, 5, 10069, 874, 114436, 119055, 6093, 12483, 160751, 75230, 25207, 1211, 7265, 4838, 364, 75230, 2882, 40653, 10676, 74806, 1644, 91595, 149010, 1211, 123736, 48974, 47351, 152, 22753, 364, 54260, 16803, 137, 10069, 160238, 506, 75230, 2882, 2909, 2200, 3496, 64260, 3131, 4269, 64260, 163139, 1644, 165592, 75230, 7916, 13845, 4, 36324, 155787, 12483, 170479, 12483, 7243, 151614, 1982, 12483, 1285, 6, 59919, 94741, 188201, 364, 75230, 2882, 4, 10213, 95494, 23741, 7369, 220224, 81444, 4667, 163139, 101251, 34533, 12483, 7265, 9213, 46244, 5, 1285, 201548, 10213, 105235, 506, 23093, 75230, 22426, 2882, 39293, 4944, 32792, 2205, 10676, 123736, 56703, 5666, 54260, 20315, 1211, 84475, 123736, 13458, 54260, 2702, 12483, 3120, 1285, 168155, 364, 75230, 2882, 5, 92500, 119055, 12483, 1285, 364, 75230, 2882, 119055, 77188, 7243, 123736, 1982, 8903, 117260, 96986, 4, 199145, 6319, 68558, 6235, 155697, 1211, 705, 95766, 1285, 874, 54260, 80885, 10339, 109316, 6235, 155697, 2882, 6319, 54260, 1211, 69529, 620, 91595, 13159, 5, 95298, 178748, 32792, 4, 36324, 4151, 620, 54260, 2050, 4, 199145, 119055, 77188, 132025, 61397, 25046, 12483, 3373, 24621, 2932, 101296, 4, 2200, 159696, 1644, 104238, 163825, 29060, 7746, 2205, 4151, 160238, 506, 75230, 2882, 4, 170479, 7508, 54260, 26394, 1211, 1285, 6235, 8903, 16747, 92500, 6, 225975, 23173, 67882, 4944, 12483, 85596, 71945, 5, 95455, 107776, 95298, 6235, 159696, 506, 5666, 32792, 7243, 7201, 29766, 564, 54260, 14856, 110970, 12483, 199145, 364, 21106, 96986, 7746, 7508, 54260, 1211, 5, 15, 119718, 120467, 132025, 69801, 48904, 2932, 97634, 75578, 63259, 10918, 8903, 14856, 110970, 12483, 4, 163139, 1644, 6255, 34076, 54260, 4667, 81444, 6, 225975, 12483, 4, 36324, 18225, 119055, 39083, 2882, 4852, 54260, 125523, 4151, 39293, 1644, 75578, 6, 203749, 7682, 6235, 2648, 23173, 23741, 123736, 56703, 5666, 54260, 25207, 1211, 1285, 1470, 75230, 6093, 12483, 2200, 20315, 2050, 6319, 137377, 2200, 1285, 6, 131445, 4, 6, 238144, 1644, 76961, 1285, 16175, 54260, 1644, 12483, 51678, 37729, 63259, 7611, 119055, 6093, 12483, 55242, 46244, 6319, 48775, 20260, 2200, 6, 225975, 23173, 6, 199511, 17824, 75230, 36419, 6235, 7201, 26612, 46244, 12483, 56170, 26, 1211, 17190, 1982, 12483, 5, 16, 6, 47351, 221895, 620, 91595, 4113, 10339, 39083, 23269, 3120, 10676, 6, 59919, 17160, 54260, 1982, 12483, 3120, 4151, 7201, 29766, 506, 75230, 2882, 3056, 178748, 32792, 564, 54260, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 5, 1285, 160238, 506, 75230, 48253, 16932, 2882, 2200, 67882, 40920, 1751, 159696, 2442, 6093, 1285, 10213, 506, 183512, 1644, 17310, 3120, 36324, 13845, 107581, 30109, 48904, 52671, 54260, 96986, 4, 95298, 95455, 45521, 54574, 12483, 3120, 4151, 160238, 506, 75230, 2882, 45521, 17800, 15907, 219947, 3120, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 5, 8947, 3056, 125523, 6319, 54260, 1211, 874, 39083, 219947, 10213, 119718, 710, 104149, 6235, 119718, 29766, 12483, 4, 36324, 155787, 12483, 657, 54260, 20315, 1211, 119055, 76632, 61397, 3120, 1285, 39293, 30109, 48904, 15307, 54260, 51723, 4, 163139, 221895, 37729, 10676, 4, 199145, 220224, 21923, 10213, 117260, 96986, 5, 148932, 2648, 218241, 205416, 4, 199145, 37826 ]

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

[ 3069, 6, 80264, 7265, 77775, 112216, 10918, 35596, 12483, 6, 238144, 16803, 4, 163139, 59919, 3131, 80453, 54260, 2882, 8947, 21923, 1285, 119055, 114436, 40697, 30109, 48904, 15307, 54260, 96986, 9424, 119718, 40697, 1211, 155787, 12483, 5, 13159, 21923, 23165, 81444, 221895, 34482, 170355, 4944, 12483, 4, 199145, 51678, 564, 54260, 155787, 12483, 59919, 9719, 83182, 12483, 1285, 9424, 29771, 54574, 3120, 1285, 168155, 3373, 99766, 30109, 48904, 39340, 4, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 2648, 120467, 10339, 26612, 123559, 12483, 28726, 1982, 12483, 2200, 95455, 40026, 506, 4113, 172312, 151614, 1982, 12483, 12, 95455, 3056, 5039, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 29771, 75578, 6, 104985, 6235, 159696, 1211, 4151, 10339, 21106, 564, 54260, 34654, 6, 119859, 69106, 80839, 24621, 155787, 12483, 3120, 6, 75322, 39083, 5, 92500, 163139, 1982, 21106, 2648, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 119055, 77188, 6235, 101296, 40920, 9747, 3069, 6, 59919, 87637, 96986, 84475, 13342, 7369, 1644, 54260, 4944, 16932, 12483, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 4, 56170, 199145, 4852, 36326, 42493, 23173, 75230, 2702, 3131, 5666, 54260, 20315, 1211, 564, 54260, 2050, 7369, 29659, 160751, 75230, 25207, 119132, 192544, 76961, 1285, 6, 29766, 119859, 49008, 199145, 4484, 171428, 6319, 48775, 20260, 119055, 6093, 12483, 705, 3056, 95455, 7243, 17190, 75578, 32792, 705, 95298, 874, 48904, 107581, 81444, 20911, 75230, 16847, 37922, 22426, 55823, 54574, 12483, 95298, 163139, 24152, 32792, 2200, 6, 119859, 69106, 7369, 16667, 2882, 6, 23173, 75230, 2702, 13342, 3131, 5666, 54260, 20315, 1211, 10676, 6, 71577, 188301, 2702, 40611, 3069, 6, 59919, 87637, 96986, 4838, 109636, 107829, 21087, 92178, 711, 163139, 76776, 184855, 711, 6255, 163139, 1644, 81444, 42493, 105884, 12483, 3120, 1285, 6235, 7201, 26612, 46244, 12483, 3120, 4151, 10213, 3131, 5666, 54260, 2648, 17310, 5950, 54260, 1211, 2205, 4151, 160238, 2050, 4, 163139, 22753, 119055, 77188, 6235, 101296, 40920, 3120, 26, 2050, 7038, 54574, 4, 238144, 1644, 18225, 119055, 39083, 2882, 20033, 6235, 88660, 13497, 6, 35596, 59919, 12483, 4, 36324, 95455, 42542, 18225, 21776, 7201, 29766, 62808, 12483, 5, 9213, 73375, 8903, 16667, 3056, 8947, 7243, 36324, 75230, 162926, 4, 36324, 44064, 564, 54260, 6, 93704, 218241, 205416, 2200, 125523, 76961, 21776, 195054, 12483, 4151, 4074, 70380, 46677, 42542, 7243, 1285, 120202, 6093, 26612, 10918, 68558, 151614, 1982, 12483, 620, 91595, 4113, 10339, 39083, 8903, 1211, 5, 874, 54260, 80885, 16667, 119055, 12483, 4151, 2648, 218241, 205416, 67882, 40920, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 3373, 54260, 564, 54260, 4838, 192544, 4, 3373, 54260, 564, 54260, 6, 47351, 7369, 119718, 92605, 36419, 119132, 4, 3056, 4151, 3069, 29659, 183512, 6, 29766, 6093, 1285, 30109, 48904, 15307, 54260, 2882, 36324, 75230, 4, 36324, 13159, 3056, 7243, 29771, 6319, 54260, 1211, 4838, 83182, 9721, 17188, 5, 1285, 137377, 6093, 26612, 10918, 68558, 3056, 6428, 47351, 3069, 21776, 4944, 171428, 9424, 119718, 40697, 1211, 76961, 6, 109600, 103182, 40697, 4838, 68697, 54260, 96986, 4, 199145, 151614, 1982, 12483, 4838, 75386, 200795, 6, 75578, 23174, 17310, 3069, 220224, 1211, 3523, 75230, 2882, 119718, 186797, 4, 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 ]

[ 18225, 42542, 22753, 7243, 6, 59919, 21847, 54260, 4944, 12483, 7265, 4151, 77775, 2442, 201548, 5, 2808, 54260, 7511, 8903, 81444, 20911, 75230, 16847, 10213, 506, 75230, 22426, 96986, 220273, 36324, 1285, 160238, 506, 75230, 2882, 3056, 3523, 75230, 15231, 2932, 2200, 36324, 9213, 46244, 45521, 54574, 12483, 3056, 1285, 34482, 170355, 107581, 3120, 3069, 7916, 13845, 7508, 54260, 8300, 17310, 5, 168892, 119055, 13845, 7243, 129165, 8903, 1211, 1285, 34076, 75230, 12890, 8903, 155787, 12483, 4, 7265, 199145, 56170, 26612, 198754, 220224, 21923, 46855, 220224, 123073, 114955, 4, 7265, 199145, 56170, 4838, 198754, 4852, 54260, 163139, 1644, 12483, 95455, 2190, 5666, 113687, 196332, 192544, 4, 199145, 3056, 2190, 5666, 55823, 506, 18640, 3069, 2190, 33716, 54260, 1644, 12483, 4, 67882, 4944, 12483, 56170, 4838, 155787, 2205, 21776, 2050, 21776, 7972, 46677, 104149, 6, 109995, 5, 95298, 6255, 129165, 93238, 120467, 1285, 4231, 76632, 8903, 4, 199145, 22444, 55823, 1211, 7746, 6, 68558, 160238, 2882, 8903, 25391, 15907, 65482, 2200, 21923, 46855, 4852, 54260, 123073, 114955, 4, 6, 104985, 6, 238144, 1644, 220224, 151614, 1982, 12483, 7243, 10676, 187667, 7746, 3069, 10213, 22680, 54260, 12483, 2205, 6, 119859, 57619, 12483, 3120, 1285, 76961, 22753, 96986, 4, 6, 104985, 6, 238144, 1644, 220224, 151614, 1982, 12483, 111025, 68561, 23173, 220224, 123073, 1751, 56331, 5, 8947, 3056, 4838, 6235, 119718, 21106, 2648, 2882, 40096, 4, 2181, 3056, 4838, 1751, 183512, 2882, 40096, 5, 14004, 46244, 9934, 35596, 6, 57277, 16580, 1285, 895, 16932, 12483, 4, 9213, 46244, 6428, 23173, 23741, 6, 57277, 16580, 6, 80264, 199145, 9213, 46244, 20315, 185226, 4, 36324, 8947, 3056, 72577, 56170, 10676, 192544, 4, 95298, 6, 104985, 36324, 13845, 107581, 6, 170355, 4944, 12483, 4, 119718, 120467, 9213, 46244, 65146, 2882, 6, 80264, 56170, 1470, 30682, 5, 95298, 7265, 199145, 56170, 6, 23173, 91595, 185182, 98833, 9213, 46244, 1470, 30682, 6, 68558, 4838, 34076, 75230, 1982, 12483, 4, 123736, 42023, 119055, 13845, 4944, 12483, 7369, 42542, 1470, 75230, 4667, 10069, 10213, 3131, 5666, 54260, 2648, 17310, 12183, 119859, 69106, 72577, 17190, 1982, 12483, 2200, 123736, 42023, 119055, 13845, 4944, 12483, 7369, 42542, 1470, 75230, 4667, 220224, 1211, 4838, 6235, 23822, 54260, 6093, 14004, 2648, 2205, 10676, 6, 76776, 10918, 232187, 1644, 12483, 6, 109995, 705, 4151, 1470, 54260, 5666, 7201, 26612, 104238, 14856, 110970, 12483, 59919, 29659, 183512, 4, 4151, 24012, 13982, 18640, 82576, 6, 109995, 3120, 32054, 54260, 506, 54260, 2882, 9424, 54260, 98833, 4, 36324, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 3056, 4838, 45521, 48974, 119718, 186955, 18640, 17310, 5, 119718, 16011, 21106, 2648, 1751, 75230, 1211, 6, 101328, 224220, 35596, 9221, 12483, 2200, 7369, 21733, 6093, 12483, 1285, 201548, 4, 163139, 1982, 21106, 2648, 18225, 163139, 1644, 6, 101328, 165284, 79761, 12483, 1285, 123736, 1982, 29659, 75322, 17310, 3120, 10676, 6235, 13458, 75230, 4667, 2205, 26612, 6, 119859, 69106, 2190, 5666, 22426, 23173, 2882, 54260, 2808, 152185, 4838, 33716, 4, 107776, 18225, 3069, 4151, 40653, 8300, 54260, 2932, 17310, 4, 165592, 20033, 151614, 1982, 12483, 1470, 30682, 3120, 4151, 9424, 54260, 2882, 3120, 14856, 110970, 12483, 101146, 9134, 5, 1285, 201548, 68313, 6, 47351, 120202 ]

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

[ 59919, 3120, 4838, 1751, 46545, 13845, 6, 75290, 149364, 73784, 17824, 75230, 2702, 12483, 4, 43649, 23173, 165354, 4, 21106, 2865, 91595, 93975, 1211, 4269, 64260, 5, 6255, 119055, 13845, 81444, 132025, 238144, 104149, 230764, 10676, 21776, 124740, 2882, 40096, 69355, 45521, 93509, 15435, 65482, 160238, 3131, 109226, 4, 199145, 6255, 151614, 1982, 6235, 28726, 104149, 5, 4944, 10069, 3069, 6, 59919, 105235, 42023, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 65146, 18225, 132025, 101470, 1470, 54260, 23269, 3120, 6, 64260, 1285, 29434, 54260, 32887, 29766, 710, 12483, 152, 1285, 15622, 15231, 69181, 123073, 15, 2808, 75230, 2702, 24012, 34709, 710, 4944, 4484, 54260, 125830, 63864, 905, 26612, 4944, 12483, 247, 1285, 81414, 1982, 203387, 15, 4944, 10069, 3069, 130170, 3131, 54260, 20315, 1211, 1470, 54260, 1211, 11139, 2882, 69355, 26, 2050, 221895, 1211, 247, 2200, 1285, 30109, 18406, 18415, 29766, 17645, 5, 20033, 119055, 109316, 1211, 1285, 32887, 29766, 710, 12483, 1982, 21106, 2648, 10213, 236376, 12483, 5, 13159, 3056, 182261, 564, 37016, 84577, 4, 36324, 64699, 76961, 163139, 1644, 20315, 6, 61541, 75290, 151614, 1982, 12483, 8903, 506, 21106, 96986, 2200, 202446, 12483, 125523, 1470, 56169, 1285, 201548, 187055, 4838, 5332, 46244, 119055, 40920, 710, 12483, 8903, 13458, 75230, 4667, 2200, 36324, 564, 54260, 220224, 76961, 3056, 15, 119718, 710, 1470, 54260, 1211, 6235, 28726, 46244, 16932, 6, 225975, 2882, 16, 137, 14004, 46244, 80453, 129071, 152185, 119055, 77188, 123736, 1982, 8903, 119718, 710, 29659, 6235, 8903, 22492, 88680, 10676, 177157, 1982, 39083, 15533, 102756, 4, 119718, 120467, 22753, 29434, 93449, 1470, 75230, 2702, 2909, 2200, 4151, 10339, 129071, 4, 36324, 22753, 65146, 564, 54260, 4838, 3373, 4667, 6, 61541, 75290, 105235, 24621, 6235, 101296, 40920, 119055, 6093, 12483, 7265, 4838, 43649, 54260, 1211, 4, 6319, 68558, 23165, 10213, 238144, 104149, 4, 165592, 22753, 3056, 3069, 194706, 6, 130991, 125523, 3120, 26, 2050, 9424, 54260, 2882, 21106, 16932, 4, 119055, 12483, 14856, 110970, 12483, 85465, 200117, 12483, 125523, 7243, 6235, 119718, 10705, 16803, 132025, 13342, 2808, 159696, 16747, 12483, 95455, 1470, 54260, 104149, 56170, 4838, 14856, 101608, 5, 36324, 1285, 6, 170895, 10339, 147713, 12483, 3120, 2190, 16747, 135118, 149010, 9424, 54260, 96986, 7746, 46855, 220224, 1211, 4, 68313, 1751, 75230, 1211, 3120, 6, 71804, 23405, 4838, 10339, 39083, 29659, 186797, 45521, 16803, 8903, 4852, 21660, 16932, 364, 34533, 29766, 152185, 7201, 129071, 5, 95298, 564, 54260, 220224, 10339, 147713, 2882, 95455, 220224, 1211, 4838, 158504, 4, 230764, 119055, 13845, 4944, 12483, 6, 104985, 10069, 6, 195054, 123073, 194734, 151614, 1982, 12483, 6235, 506, 40096, 4838, 198754, 152, 1285, 7195, 12130, 4, 1285, 6235, 29771, 107182, 93497, 4, 1285, 66616, 226112, 113889, 51723, 4, 1285, 66616, 226112, 203749, 12483, 2200, 1285, 22518, 54260, 75578, 3120, 1285, 506, 63188, 171433, 7972, 55823, 1211, 15, 10069, 364, 54260, 7972, 8903, 9424, 54260, 4944, 172398, 194, 2205, 1470, 75230, 34575, 21106, 710, 12483, 4, 2205, 4838, 94626, 46985, 4, 2205, 36324, 710, 12483, 3056, 1285, 201548, 55242, 46244, 45521, 93509, 80453, 54260, 2882, 5, 36324, 75230, 3056, 22753, 1470, 75230, 4667, 8903, 159696, 1211, 55242, 46244, 6, 59919, 13458, 54260, 18415, 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 ]

[ 9424, 119718, 40697, 1211, 1285, 4838, 46685, 7682, 48904, 40697, 22639, 10069, 48904, 6093, 5, 12231, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 1982, 54260, 1285, 14856, 140229, 78683, 59461, 10339, 147713, 2882, 6, 225975, 23173, 95455, 6, 23173, 75230, 2702, 2932, 21660, 75230, 2932, 65482, 564, 137119, 124724, 87442, 6235, 8903, 1982, 12483, 119055, 6093, 12483, 73784, 56040, 62560, 4838, 75386, 30109, 18406, 5, 72631, 7682, 17494, 2865, 186797, 3069, 4151, 10339, 48775, 8903, 4, 199145, 3056, 1285, 34482, 170355, 107581, 4, 36324, 1285, 30750, 3131, 5666, 54260, 2648, 17310, 3056, 215031, 45521, 93509, 80453, 54260, 18415, 16932, 6235, 13458, 75230, 4667, 4, 6235, 7916, 49008, 20033, 564, 54260, 2808, 54260, 1211, 1470, 75230, 205416, 10676, 6, 119859, 69106, 6, 203749, 40697, 1211, 6, 35596, 59919, 230764, 4151, 6093, 3131, 16932, 32887, 29766, 17645, 4, 230764, 4151, 6, 5, 31623, 7972, 4944, 4484, 54260, 2882, 6, 80885, 29766, 17645, 152, 13159, 2205, 55242, 46244, 7243, 119055, 26612, 506, 93509, 54260, 5666, 32792, 4, 36324, 95455, 46855, 4852, 54260, 1211, 107776, 3120, 10676, 119718, 10705, 110970, 3069, 220224, 1211, 7508, 54260, 1211, 2200, 7746, 3069, 6, 59919, 87637, 96986, 11211, 25222, 161829, 4, 6, 238144, 1644, 6, 172060, 185226, 10069, 163139, 1644, 20315, 11139, 33056, 4, 199145, 11211, 96986, 123736, 1982, 4838, 2050, 167048, 141847, 80885, 1211, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 151614, 1982, 12483, 6319, 54260, 1211, 69529, 1470, 88945, 4113, 3120, 7508, 54260, 20260, 54260, 2882, 5, 874, 48904, 107581, 151614, 1982, 12483, 6235, 20315, 185226, 6, 97634, 46685, 3056, 1285, 201548, 1470, 54260, 5666, 8903, 111684, 33716, 6235, 119718, 29766, 12483, 6, 159696, 8903, 1211, 17824, 13159, 123073, 80839, 40920, 1982, 23173, 4484, 54260, 2882, 2819, 3056, 95455, 1470, 75230, 4667, 7243, 178748, 32792, 132025, 13342, 101470, 4, 238144, 1644, 4838, 3373, 4667, 67882, 4944, 12483, 1285, 201548, 6, 119859, 69106, 2190, 5666, 7201, 39083, 29659, 186797, 4, 9915, 54260, 20315, 1211, 219514, 200117, 4838, 19302, 54260, 119132, 20585, 3120, 7508, 6093, 160238, 506, 75230, 2882, 4, 199145, 95455, 42542, 7243, 67882, 4944, 12483, 4484, 54260, 1211, 17824, 75230, 36419, 6, 192539, 17310, 2205, 10676, 74806, 1644, 91595, 149010, 1211, 6, 59919, 39340, 46244, 5, 68313, 23165, 1285, 9424, 238144, 18415, 32887, 29766, 17645, 6, 120749, 18640, 4, 3056, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 26612, 3373, 15289, 78956, 3069, 4151, 4484, 171428, 4838, 10213, 29659, 52480, 96986, 198836, 5666, 4, 36324, 75230, 163139, 874, 48904, 107581, 10213, 506, 75230, 22426, 96986, 705, 36324, 13845, 107581, 3373, 159390, 21923, 81444, 2819, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 564, 54260, 10069, 49920, 6093, 120467, 15, 95766, 4838, 94626, 46985, 16, 119055, 6093, 12483, 1470, 75230, 2702, 8903, 506, 129071, 1285, 160238, 6093, 29659, 21660, 54260, 42023, 4, 119055, 12483, 4151, 4231, 17310, 6093, 6, 212915, 119055, 77188, 74806, 1644, 91595, 49268, 54260, 6293, 5, 8947, 3056, 95298, 3131, 159696, 2442, 132025, 13342, 101470, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4838, 75386, 6, 47351, 130170, 3131, 54260, 2648, 17310, 2702, 144754, 13845, 4, 159696, 1211, 18225, 564, 123073 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 35596, 4, 36324, 95455, 123736, 48974, 47351, 3056, 64699, 47783, 45521, 38054, 87442, 5, 26612, 2050, 564, 13159, 96986, 6, 59919, 105235, 506, 12483, 20033, 1285, 10213, 3131, 5666, 54260, 2648, 17310, 4, 119055, 12483, 20033, 6, 101470, 6, 68558, 1285, 29434, 710, 18415, 32887, 29766, 17645, 4, 1285, 6, 101146, 32887, 29766, 17645, 152, 1285, 201548, 3056, 1982, 54260, 76961, 6, 61541, 75290, 2200, 11139, 33056, 4, 199145, 6235, 13458, 75230, 4944, 12483, 22753, 4, 4838, 30109, 18406, 2200, 34076, 54260, 1982, 8300, 54260, 15231, 2932, 4838, 6, 56052, 1470, 54260, 5666, 111684, 2442, 17310, 2205, 4838, 21776, 7972, 46677, 39293, 73095, 146873, 5, 2190, 107182, 14088, 159696, 25207, 1211, 4151, 1982, 54260, 6235, 101296, 40920, 4838, 874, 43178, 8903, 21776, 7972, 46677, 39293, 9424, 123073, 87311, 7511, 12483, 2200, 874, 48904, 30750, 874, 39083, 6, 119859, 69106, 6235, 506, 54260, 24621, 4, 119055, 10705, 129165, 2865, 20315, 151614, 1982, 12483, 6319, 54260, 1211, 3069, 65848, 2882, 5, 564, 54260, 24621, 46244, 123073, 163139, 1644, 20315, 6, 61541, 75290, 67882, 40920, 18225, 56170, 4151, 172312, 4838, 6, 56052, 10213, 3131, 5666, 54260, 2648, 17310, 9213, 564, 54260, 2050, 22639, 195054, 9213, 564, 54260, 2050, 874, 54260, 20315, 1644, 4, 95455, 3056, 9747, 220224, 1470, 54260, 57619, 905, 111684, 25207, 1211, 2205, 10676, 17190, 1982, 12483, 3120, 7508, 54260, 55823, 14856, 110970, 12483, 5, 6, 104985, 564, 54260, 155787, 12483, 3056, 10069, 201548, 7243, 6319, 54260, 1211, 1470, 54260, 5666, 111684, 2442, 17310, 4, 6, 238144, 1644, 22753, 119055, 77188, 6235, 101296, 40920, 36324, 75230, 94626, 506, 2819, 8947, 3056, 6, 104985, 4838, 21776, 7972, 46677, 168155, 2200, 177157, 1982, 39083, 152185, 6235, 13458, 75230, 4667, 4, 199145, 10069, 160238, 506, 75230, 2882, 11591, 68313, 98252, 8903, 90536, 1982, 12483, 4838, 75386, 6, 47351, 7369, 170355, 7611, 56170, 4838, 14856, 110970, 12483, 101146, 1211, 5, 4151, 14004, 2648, 152185, 6235, 28726, 46244, 16932, 6, 88660, 506, 44478, 10213, 236376, 1285, 201548, 564, 54260, 10213, 29659, 710, 188201, 4838, 48775, 1982, 40697, 11139, 33056, 4, 4838, 75386, 4838, 45521, 17800, 54260, 186461, 17310, 3120, 4151, 7369, 8300, 75230, 8903, 83182, 6319, 48775, 23741, 4, 3120, 4151, 6319, 48775, 23741, 3069, 10213, 141562, 40920, 12483, 5, 564, 54260, 155787, 12483, 3056, 10069, 201548, 6235, 159696, 1211, 47783, 55242, 46244, 364, 54260, 186461, 5, 220224, 123073, 6, 225399, 10339, 147713, 12483, 6, 225975, 12483, 4, 165592, 1285, 201548, 3056, 36324, 75230, 163139, 40920, 18640, 4, 36324, 364, 52480, 13845, 2200, 7369, 2648, 364, 21106, 96986, 7746, 6, 104985, 103854, 4151, 7369, 46590, 17310, 3120, 7369, 138733, 506, 5, 6319, 54260, 1211, 6, 170355, 4667, 10339, 147713, 2882, 1285, 155787, 12483, 42493, 36324, 75230, 564, 54260, 4852, 67882, 4944, 12483, 2205, 4151, 9424, 54260, 2882, 3120, 10676, 200795, 1211, 6, 68566, 4944, 40697, 1211, 2808, 54260, 5666, 21066, 24244, 2205, 112216, 28726, 73215, 76776, 4, 163139, 3069, 55242, 506, 12483, 4, 36324, 1285, 4838, 21087, 9719, 71804, 205416, 40697, 2808, 88945, 1211, 4, 9747, 216333, 6, 113889, 4944, 13342, 26612, 506, 51723, 1285, 6, 68566, 4944, 12483, 2205, 1285, 145813, 710, 109316, 1211, 4, 564 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 159696, 1644, 107581, 18225, 3056, 6235, 159696, 1211, 3523, 92605, 29060, 4, 151614, 1982, 12483, 37729, 4838, 6235, 119718, 710, 36419, 120202, 6093, 26612, 10918, 68558, 4852, 18167, 6235, 212484, 2882, 98252, 67882, 4944, 12483, 4838, 6, 56052, 160238, 506, 75230, 2882, 5, 10069, 160238, 506, 75230, 2882, 1982, 54260, 114955, 199145, 119055, 6093, 12483, 42493, 6235, 26, 17017, 26, 2882, 4, 2200, 199145, 21923, 133190, 2865, 21106, 4, 3056, 2181, 72577, 2205, 1285, 200795, 193012, 125523, 4151, 6235, 28317, 2882, 1285, 160238, 506, 75230, 2882, 6, 23173, 75230, 7201, 13342, 32670, 12483, 4, 40653, 10676, 145813, 710, 147455, 12483, 16175, 54260, 1644, 3120, 26, 2050, 115825, 2648, 4, 36324, 75230, 238144, 2882, 125523, 7508, 7682, 159696, 33716, 2702, 163139, 3373, 26, 68313, 178748, 32792, 5, 95455, 3056, 1285, 147582, 40920, 3120, 20315, 2050, 81444, 20911, 29766, 199145, 45223, 23741, 3069, 4151, 6, 35596, 12890, 16747, 17310, 5, 36324, 75230, 163139, 1285, 81444, 20911, 75230, 16847, 3120, 77775, 10339, 26612, 123559, 12483, 21923, 42493, 6235, 119718, 29771, 5594, 13497, 95455, 3069, 6, 80264, 4, 159696, 2882, 8947, 220224, 1211, 3523, 75230, 15231, 2932, 220224, 3069, 4151, 87311, 49008, 6, 159696, 8903, 1211, 10676, 4, 564, 54260, 4231, 65482, 56170, 123559, 12483, 119055, 10705, 18225, 37826, 42493, 2205, 22753, 49008, 95455, 192544, 46855, 3069, 220224, 1211, 5, 4151, 2648, 218241, 205416, 6, 94741, 63020, 4838, 42493, 6, 95494, 63020, 4, 165284, 2865, 22426, 18640, 224252, 15529, 96302, 13845, 657, 54260, 40920, 10213, 159696, 8903, 1211, 2205, 4151, 160238, 506, 75230, 2882, 4, 9747, 7746, 3069, 40653, 8300, 54260, 8903, 1211, 1470, 75230, 1982, 95455, 364, 54260, 18415, 1644, 3056, 42493, 7369, 2932, 45631, 3069, 8903, 21733, 4113, 22426, 2882, 73784, 115825, 2648, 2819, 1470, 75230, 1982, 3373, 26, 95766, 4, 119055, 77188, 1285, 13342, 2808, 119718, 92605, 2702, 17310, 7265, 21776, 2050, 224252, 15529, 96302, 10339, 208048, 83182, 8903, 2882, 54260, 21295, 5, 4151, 113889, 4667, 6, 32670, 2882, 7369, 657, 54260, 40920, 1285, 160238, 506, 75230, 2882, 6, 23173, 75230, 6293, 5, 3120, 6428, 47351, 6, 68558, 170479, 1285, 10339, 147713, 6093, 8580, 84475, 1285, 7038, 16932, 177274, 1211, 166464, 1285, 160238, 506, 75230, 2882, 1470, 54260, 1211, 874, 39083, 6, 23173, 75230, 7201, 32670, 12483, 2200, 98252, 4838, 90848, 1982, 212484, 12483, 4, 9747, 22753, 170479, 42493, 3069, 2808, 119718, 92605, 2702, 12483, 2200, 1470, 75230, 4667, 13342, 1644, 17645, 1982, 7508, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 5, 1470, 75230, 1982, 18225, 6, 105515, 2181, 42493, 4, 42542, 95455, 192544, 4838, 87311, 76866, 54260, 20315, 1211, 37729, 10676, 4, 1751, 109636, 16932, 5, 95298, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 3056, 10069, 160238, 506, 75230, 2882, 3120, 6235, 28317, 2882, 1470, 75230, 2702, 6, 120749, 18640, 10213, 159696, 2932, 32792, 2200, 119055, 10705, 22753, 3056, 14889, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 219947, 4, 119055, 77188, 22753, 14856, 46244, 80885, 16667, 6, 120749, 18640, 2205, 1285, 145813, 29060, 123073, 114955, 101328, 46244, 12483, 4, 1470, 17310, 73381, 20616, 2442, 3069, 361, 78278, 483, 6, 101328, 46244, 5, 7916, 87311, 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 ]

[ 2702, 10069, 10184, 87311, 30473, 2702, 3056, 4838, 45521, 189623, 61397, 17310, 3120, 4151, 7201, 29766, 506, 75230, 2882, 36324, 75230, 36324, 1285, 1470, 54260, 4944, 13845, 42542, 42493, 190800, 2932, 21660, 75230, 8903, 1211, 119055, 6093, 12483, 37729, 1285, 160238, 506, 75230, 2882, 5, 22753, 42542, 220224, 1211, 7369, 119718, 29766, 1982, 12483, 84475, 6, 48904, 8903, 1982, 29766, 12483, 5, 22753, 42542, 220224, 1211, 7369, 119718, 29766, 1982, 12483, 37729, 6, 35596, 10918, 16747, 109226, 2200, 1751, 159696, 1644, 109226, 4838, 75386, 4838, 7201, 39083, 8903, 3120, 73095, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 5, 564, 54260, 6, 104985, 119718, 120467, 160751, 75230, 2442, 65482, 114955, 42542, 22753, 220224, 1211, 56170, 47351, 4, 4944, 64260, 3131, 1285, 114955, 21923, 6235, 4852, 88917, 5, 95455, 364, 54260, 16803, 6, 47351, 7916, 2932, 5, 8892, 292, 10184, 87311, 30473, 2702, 6, 48904, 8903, 1982, 29766, 65482, 10184, 87311, 30473, 2702, 5, 119055, 12483, 95455, 3056, 4151, 10339, 21106, 192575, 18225, 1285, 160238, 506, 75230, 2882, 1470, 54260, 110970, 5666, 54260, 20315, 1211, 5, 26612, 3373, 4667, 84475, 6, 159696, 110317, 114955, 705, 26612, 40026, 506, 6093, 161459, 6, 80453, 29789, 26, 13497, 37640, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 37826, 4852, 18167, 6, 75322, 39083, 1470, 75230, 2702, 8903, 1982, 54260, 4852, 77188, 230764, 34654, 32054, 75230, 12483, 4, 199145, 151614, 1982, 12483, 42493, 6235, 3111, 2932, 16580, 83182, 5, 7369, 37826, 10213, 506, 75230, 22426, 18415, 2882, 4, 36324, 215031, 6, 56052, 98252, 506, 186955, 17310, 3056, 36324, 13845, 1982, 16803, 87311, 38054, 3120, 10676, 6, 119859, 57619, 12483, 10339, 39083, 4484, 5, 20632, 4, 119055, 109316, 1211, 20033, 81444, 55242, 42023, 4, 2808, 75230, 1982, 7369, 37826, 198754, 84475, 8947, 151614, 1982, 12483, 198754, 1285, 4, 119055, 13845, 107581, 6, 225975, 12483, 4, 36324, 2648, 120467, 3056, 220273, 4838, 45521, 207650, 101608, 17310, 3120, 10676, 10339, 39083, 4484, 15, 2442, 54260, 2702, 107020, 80453, 47709, 119718, 96302, 2702, 4, 2200, 7243, 6319, 54260, 1211, 7508, 54260, 2702, 6, 202075, 54260, 2648, 5, 16, 104985, 4, 1470, 54260, 35189, 20033, 6, 35596, 59919, 12483, 230764, 4151, 10339, 48775, 8903, 37189, 27720, 4, 657, 29771, 62808, 30750, 236376, 12483, 4, 56170, 199145, 178766, 6, 80453, 48350, 15435, 35596, 4, 2200, 7265, 1470, 30682, 76961, 874, 232187, 2442, 4944, 12483, 4, 364, 21106, 96986, 2205, 1470, 54260, 1211, 657, 75230, 1982, 12483, 2200, 31807, 75230, 49008, 1285, 6, 109600, 61397, 4, 199145, 151614, 1982, 12483, 4838, 3373, 4667, 114955, 5, 8947, 3056, 6, 119859, 69106, 1470, 54260, 5666, 7201, 26612, 4667, 152, 6, 238144, 1644, 220224, 151614, 1982, 12483, 215031, 2808, 41595, 6093, 13159, 5, 4838, 75386, 49920, 86733, 2200, 4838, 75386, 6, 59919, 186145, 16932, 3120, 34654, 49920, 3131, 43178, 25207, 21733, 59929, 12483, 4, 51678, 220224, 6, 104985, 5332, 215052, 34533, 9221, 12483, 2200, 119055, 92605, 2702, 12483, 4, 119055, 12483, 220224, 151614, 1982, 12483, 8903, 3111, 2932, 121193, 91595, 4, 199145, 170479, 12483, 151614, 25207, 159696, 1211, 56170, 220224, 4, 199145, 170479, 12483, 220224, 1211, 1285, 101296, 36419, 4, 119055, 13845, 107581, 18225, 42542 ]

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

[ 6319, 23269, 96986, 4, 199145, 170479, 12483, 3944, 59919, 12483, 1285, 3523, 23173, 12483, 4944, 10069, 2205, 1285, 49920, 86733, 3069, 34076, 75230, 1982, 12483, 2200, 220224, 3069, 10339, 77188, 54260, 196332, 1211, 5, 2200, 7265, 26612, 3373, 4667, 84475, 163139, 110317, 114955, 705, 8821, 10069, 117902, 69181, 40697, 2200, 5332, 88660, 113889, 2865, 40697, 43393, 10954, 448, 6, 141847, 6, 59919, 152440, 22426, 2882, 21923, 10069, 6, 138763, 448, 3120, 76961, 6, 97933, 4, 119055, 13845, 107581, 364, 21106, 96986, 2205, 1470, 54260, 1211, 1470, 54260, 50856, 16870, 12483, 10676, 111215, 4, 36324, 18225, 6, 94741, 63020, 42493, 123736, 1982, 238144, 4944, 12483, 3120, 3523, 64260, 26, 2702, 6, 159696, 2932, 4, 36324, 75230, 163139, 2205, 21106, 4113, 51723, 4, 36324, 75230, 1470, 75230, 4667, 42493, 2205, 114955, 151614, 1982, 12483, 5, 95455, 77775, 137, 4852, 18167, 59919, 24621, 46244, 12483, 36324, 75230, 163139, 1285, 1751, 16932, 12483, 2205, 364, 52480, 13845, 2200, 6150, 75230, 163139, 95455, 6, 235210, 2648, 1982, 54260, 1211, 6, 448, 2004, 3056, 4838, 6, 119859, 69106, 44917, 76216, 35596, 32054, 54260, 13497, 13845, 3120, 4151, 10213, 506, 75230, 22426, 2882, 17310, 36324, 2648, 120467, 10339, 39083, 4484, 2205, 6, 104985, 72577, 4838, 75386, 137, 17268, 16932, 15, 3131, 22426, 54260, 4852, 16, 56170, 213909, 239162, 1211, 2004, 84475, 26612, 46590, 905, 4838, 75386, 37640, 16932, 56170, 67882, 16629, 49008, 5, 13159, 21923, 95298, 81444, 160238, 2882, 8903, 25391, 15907, 65482, 14856, 110970, 12483, 4, 199145, 364, 21106, 96986, 95766, 7508, 6093, 10213, 32670, 17310, 7265, 189631, 159696, 21295, 84475, 7265, 6, 78683, 15533, 6093, 163139, 10125, 13845, 2050, 5, 2200, 34654, 39293, 119055, 39083, 2882, 6255, 6235, 119718, 39083, 2882, 1470, 75230, 42410, 44478, 12483, 4, 6150, 220224, 21923, 230764, 4838, 10339, 21106, 3131, 12483, 6, 159696, 2932, 4, 36324, 220224, 6, 212484, 12483, 7746, 123736, 1982, 5666, 23173, 12483, 3120, 4838, 117902, 93509, 12483, 21733, 23174, 186797, 4113, 10339, 48775, 104149, 5, 220224, 6, 225975, 12483, 4, 36324, 220224, 163139, 1644, 12483, 151614, 1982, 12483, 199145, 24621, 46244, 114955, 4, 9747, 4, 200795, 16667, 4, 7746, 7243, 123736, 1982, 13342, 2808, 159696, 16747, 12483, 3120, 1285, 3523, 40096, 9221, 149010, 6235, 55823, 54574, 12483, 4, 2200, 4, 9424, 238144, 18415, 16667, 4, 9747, 3069, 7369, 32670, 12483, 199145, 14856, 46244, 7201, 99766, 8903, 25391, 15907, 65482, 14856, 110970, 12483, 4, 199145, 170479, 12483, 51678, 6, 238144, 16932, 10184, 46244, 12483, 10676, 78683, 2865, 22426, 6293, 6235, 8903, 1211, 1285, 21776, 92605, 10918, 239162, 25207, 1211, 2819, 220224, 163139, 1644, 12483, 151614, 1982, 12483, 199145, 14856, 46244, 25207, 119718, 39083, 92866, 24001, 59461, 12483, 2205, 220224, 6093, 32054, 54260, 506, 54260, 125830, 23173, 24621, 4113, 5, 2808, 75230, 6293, 4151, 10339, 48775, 8903, 1470, 75230, 2702, 111684, 2442, 32792, 3069, 6, 35596, 59919, 12483, 4, 119055, 39083, 2882, 18225, 6, 61397, 192575, 2882, 22518, 54260, 1982, 12483, 4838, 6, 119859, 69106, 6, 229340, 5, 6255, 163139, 1644, 81444, 105687, 2205, 58571, 26394, 1211, 30750, 236376, 12483, 76961, 220224, 96986, 3120, 4151, 10339, 48775, 8903, 5, 6093, 105235, 16667, 4, 6, 238144, 16803, 148932, 4, 36324, 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 ]

[ 3373, 4667, 895, 16932, 1211, 4, 199145, 21923, 7511, 2882, 9213, 73375, 2932, 80839, 2050, 4, 10339, 39083, 8903, 1211, 42493, 1285, 21776, 7972, 46677, 39293, 4, 42493, 1285, 117902, 69181, 40697, 21660, 850, 2200, 1470, 75230, 4667, 7243, 1285, 6, 172060, 80885, 10339, 48775, 104149, 3120, 1285, 6, 90848, 2865, 84577, 40697, 21776, 119718, 39083, 92866, 24001, 59461, 12483, 5, 6, 119859, 69106, 3120, 7746, 6, 21106, 54260, 1211, 55242, 506, 12483, 220224, 199145, 14856, 46244, 3069, 10213, 23847, 65482, 26394, 1211, 1285, 9424, 29771, 54574, 3120, 220224, 123073, 114955, 4, 2200, 119055, 12483, 220224, 151614, 1982, 12483, 42493, 10676, 8903, 119718, 24295, 105235, 1211, 7369, 7201, 39083, 2932, 4, 10184, 54574, 12483, 220224, 7746, 6, 57277, 16580, 564, 54260, 177274, 1211, 3069, 2808, 119718, 92605, 2702, 12483, 69355, 220224, 6093, 10339, 26612, 123559, 4113, 55242, 46244, 1470, 17310, 105330, 32792, 5, 657, 54260, 35189, 95298, 188485, 7511, 2882, 76961, 895, 16932, 1211, 95455, 207013, 4, 2200, 4151, 7201, 23173, 2205, 8947, 47783, 7511, 8300, 32792, 3069, 105884, 12483, 4151, 69355, 5, 874, 48904, 107581, 163139, 36419, 191538, 23741, 114349, 114436, 2205, 64751, 20260, 2442, 54260, 4667, 4, 2205, 6, 141847, 212394, 2200, 2205, 221895, 657, 192539, 151614, 1982, 12483, 7746, 8947, 6, 225975, 23173, 8903, 101296, 40920, 3069, 220224, 6093, 17190, 1982, 172398, 2808, 75230, 7201, 119859, 30750, 3069, 6, 59919, 13458, 54260, 96986, 1285, 1470, 88945, 73381, 2884, 4151, 564, 174798, 135118, 17310, 3120, 4151, 114955, 36723, 76216, 1644, 5, 11648, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 26612, 46590, 905, 1285, 4, 199145, 8248, 4944, 12483, 42493, 3120, 32054, 54260, 6093, 3069, 6, 59919, 87637, 96986, 6319, 54260, 1211, 3131, 119718, 48904, 61397, 95494, 23741, 4, 119055, 141943, 12483, 55242, 46244, 123736, 23741, 6, 68558, 76961, 2442, 1644, 54260, 7265, 13845, 9747, 3069, 59919, 87637, 83182, 12483, 2190, 76776, 23405, 65482, 24621, 6235, 28317, 96986, 4, 220224, 8248, 4944, 12483, 123736, 1982, 13342, 23822, 54260, 1982, 12483, 95455, 16580, 16747, 2819, 220224, 119055, 141943, 12483, 6, 68558, 10676, 6319, 171127, 149010, 1211, 874, 22426, 15350, 5, 2200, 2205, 10676, 51678, 62808, 6, 57277, 39340, 6235, 7916, 49008, 6, 47351, 6, 23173, 26217, 96302, 56170, 1285, 40026, 506, 8300, 54260, 15231, 8903, 6, 148346, 6093, 117574, 17310, 3120, 1751, 119718, 48904, 61397, 119055, 6093, 12483, 5, 200795, 16667, 4, 4838, 46590, 905, 1285, 7508, 23173, 7682, 21106, 80885, 69355, 1285, 1470, 75230, 1982, 141847, 43178, 84577, 4113, 163139, 2702, 43178, 95494, 23741, 149010, 116486, 22426, 64567, 104274, 34533, 12483, 10213, 236376, 12483, 4838, 75386, 4838, 10339, 139365, 25207, 4944, 12483, 3069, 4151, 26, 130734, 26, 171428, 1285, 80839, 40920, 95766, 4151, 67882, 195164, 657, 54260, 1982, 5, 9424, 238144, 18415, 16667, 4, 6235, 23269, 42023, 55242, 46244, 123736, 23741, 22518, 37016, 149010, 2808, 17310, 105330, 12483, 37729, 215031, 6, 80453, 125942, 125897, 5, 2181, 6, 104378, 160238, 6, 59919, 25222, 23741, 109226, 37729, 10069, 2190, 50856, 54260, 5666, 7972, 106504, 54260, 2882, 2200, 1285, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 1285, 4, 3069, 6, 159696, 51723, 1285, 22680, 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 ]

[ 12483, 119055, 141943, 12483, 7746, 4, 2200, 119055, 12483, 1285, 32054, 75230, 12483, 43649, 23173, 1982, 12483, 42493, 4151, 69355, 4, 43449, 54260, 1982, 97634, 23741, 220224, 6093, 6235, 119718, 50856, 3069, 29659, 77188, 56170, 26, 1211, 6, 119859, 57619, 12483, 17190, 1982, 12483, 5, 2205, 4838, 3373, 4667, 10339, 109316, 104378, 220224, 97995, 123736, 1982, 7265, 26, 1211, 6, 23173, 75230, 41643, 23173, 55823, 1211, 1470, 54260, 7511, 8903, 81444, 1644, 23173, 3069, 1285, 10339, 26612, 216501, 84577, 12483, 3120, 1751, 119718, 710, 47526, 6093, 40697, 7265, 13845, 4, 199145, 21923, 4838, 113889, 16667, 54196, 2190, 107182, 14088, 92500, 45223, 55823, 1211, 220273, 7243, 5, 119055, 12483, 18225, 10213, 236376, 1285, 76961, 101251, 105235, 16747, 12483, 4, 68313, 8947, 54745, 1211, 42493, 74806, 54260, 16932, 3069, 6, 59919, 87637, 96986, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 92500, 42493, 119055, 109316, 1211, 6, 89930, 3131, 16932, 12483, 1285, 80839, 40920, 4, 119055, 12483, 2181, 2205, 1751, 75230, 1211, 3069, 145813, 29060, 705, 119718, 710, 107776, 2181, 6150, 4838, 46590, 905, 7243, 1751, 57277, 24152, 1470, 75230, 111137, 21733, 6093, 18415, 14856, 110970, 12483, 119718, 15350, 12483, 42493, 151614, 1982, 12483, 3069, 7916, 13845, 114955, 705, 6, 238144, 1644, 220224, 10184, 54574, 12483, 7746, 7265, 220273, 219947, 6, 59919, 21066, 710, 40920, 29060, 3069, 4151, 6235, 39293, 1644, 95494, 23741, 4, 220224, 10184, 54574, 12483, 6319, 54260, 1211, 69529, 21066, 710, 40920, 3069, 6, 95494, 55823, 1211, 114955, 56170, 4151, 6235, 39293, 1644, 22492, 23741, 5, 220224, 163139, 1644, 12483, 6, 104985, 59919, 30473, 104238, 12483, 95455, 22639, 10069, 119718, 56570, 109316, 34076, 7682, 3120, 177274, 1211, 7265, 97594, 2648, 3120, 220224, 6093, 2808, 54260, 2932, 114436, 10339, 26612, 123559, 4113, 5, 2200, 2205, 10676, 151614, 1982, 12483, 220224, 198754, 5, 1285, 22518, 37016, 149010, 8903, 146887, 4, 199145, 364, 54260, 16803, 6235, 39293, 1644, 95494, 23741, 4, 364, 186955, 2205, 1470, 54260, 1211, 160238, 35189, 12483, 30109, 79174, 69355, 177274, 1211, 1470, 54260, 109985, 12483, 2200, 22753, 6235, 506, 2882, 8947, 220273, 42493, 6, 68558, 119055, 12483, 4151, 1470, 54260, 109985, 6093, 657, 54260, 20315, 2882, 37729, 9213, 46244, 5, 9213, 73375, 8903, 16667, 10339, 186955, 177274, 1211, 14856, 46244, 230764, 1285, 59919, 84577, 119718, 99766, 7972, 4944, 4484, 54260, 2882, 4, 199145, 7369, 235466, 230764, 7746, 4, 119055, 12483, 7369, 119055, 77188, 6, 40096, 174121, 4, 163139, 220224, 1211, 6, 225975, 43178, 84577, 4113, 147582, 40920, 3069, 4151, 6235, 39293, 139962, 145702, 84475, 3069, 14004, 95064, 16747, 119055, 13845, 4944, 12483, 221895, 1211, 42493, 6235, 29659, 75230, 8903, 119132, 43449, 29771, 6293, 4, 7265, 119055, 13845, 4944, 12483, 13159, 10213, 3111, 26394, 1211, 7746, 1285, 3523, 23173, 40697, 84475, 1751, 119718, 710, 47526, 6093, 40697, 6, 80453, 16870, 161459, 56170, 23847, 75230, 36419, 10339, 26612, 123559, 12483, 5, 18225, 178748, 6, 225975, 12483, 199145, 18225, 163139, 1644, 4, 3373, 26, 68313, 160238, 2882, 4838, 23847, 75230, 36419, 6, 59919, 84577, 119718, 99766, 7972, 4944, 4484, 54260, 2882, 114955, 3069, 6235, 75578, 12483, 2200, 42493, 3069, 163139, 2702, 12483, 54595, 18225, 42542, 220224, 45223, 55823, 1211, 46050, 8903, 1211, 4838, 72577 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4838, 34076, 7682, 32792, 17190, 1982, 12483, 5, 20033, 55242, 26612, 3373, 4667, 84475, 163139, 110317, 114955, 705, 14773, 49008, 42493, 6319, 54260, 1211, 2190, 5666, 59919, 29659, 186797, 4113, 212053, 4, 20033, 51678, 2190, 33716, 54260, 1644, 12483, 2200, 40653, 147713, 12483, 1470, 54260, 35189, 20033, 15864, 4944, 12483, 215031, 71180, 2882, 5, 51723, 119055, 39083, 2882, 241997, 6, 225975, 12483, 36324, 20033, 6, 238144, 2702, 12483, 7243, 4, 199145, 56170, 4838, 24621, 110970, 95455, 3069, 16580, 217814, 93975, 192544, 119055, 29060, 220224, 1211, 5, 2181, 3056, 95298, 47783, 55242, 46244, 119718, 20961, 3131, 54260, 5666, 32792, 4, 36324, 8947, 119055, 29060, 42493, 220224, 1211, 4838, 17824, 75230, 101608, 4, 45521, 506, 161459, 115222, 2865, 22426, 59919, 4, 13159, 119055, 29060, 33960, 104238, 220224, 1211, 4838, 108599, 26612, 6293, 84475, 4838, 190800, 117260, 2882, 149010, 2442, 4, 7265, 13845, 195164, 161459, 14856, 110970, 5, 2205, 177274, 1211, 10339, 21106, 42542, 8947, 2190, 112304, 29771, 119055, 76632, 61397, 220224, 1211, 47833, 1470, 75230, 2702, 76776, 36258, 24621, 110970, 4, 199145, 14856, 46244, 114955, 8947, 21923, 81444, 2205, 4151, 10213, 23822, 6093, 7201, 192539, 10339, 26612, 123559, 4113, 5, 199145, 14856, 46244, 114955, 4, 65146, 18225, 6, 21106, 7611, 2205, 14856, 506, 33716, 54260, 1644, 12483, 1470, 54260, 13497, 54260, 1644, 12483, 95455, 1751, 46545, 13845, 9721, 75230, 2882, 3120, 4151, 10339, 26612, 123559, 4113, 4, 292, 2200, 168892, 105884, 81444, 6, 104985, 3120, 4838, 68697, 54260, 16932, 7201, 26612, 123559, 12483, 292, 107776, 1470, 75230, 2702, 56170, 710, 16870, 12483, 119055, 76632, 61397, 9181, 23741, 4, 119055, 76632, 61397, 6, 99766, 73784, 620, 29771, 55823, 1211, 4, 119055, 76632, 61397, 19302, 54260, 35189, 4, 1285, 895, 16932, 1211, 51678, 7746, 119055, 76632, 61397, 123736, 1982, 8903, 1982, 12483, 7265, 177274, 1211, 1470, 54260, 119132, 4, 2648, 120467, 364, 54260, 16803, 4, 36324, 177274, 2702, 192544, 119055, 29060, 119055, 6093, 12483, 119055, 76632, 61397, 6235, 119718, 26612, 3131, 12483, 4, 119055, 29060, 159696, 25207, 1211, 14856, 46244, 7369, 8300, 75230, 8903, 1211, 2205, 4269, 59929, 2200, 119055, 29060, 220224, 1211, 119055, 76632, 61397, 130170, 10676, 2808, 54260, 5666, 21066, 24244, 3120, 1285, 895, 16932, 12483, 4, 95455, 192544, 119055, 29060, 7038, 104149, 14856, 46244, 2200, 40026, 506, 6093, 23173, 1982, 54260, 96986, 56170, 43393, 33534, 448, 2200, 119055, 76632, 61397, 212632, 5, 2200, 199145, 119055, 29060, 23173, 75230, 2702, 119718, 92605, 2702, 12483, 3120, 36324, 13845, 107581, 114955, 705, 115222, 2865, 22426, 59919, 56170, 4151, 3373, 29771, 10918, 21106, 6093, 25207, 119718, 39083, 10918, 68558, 4, 56170, 364, 75230, 107581, 1470, 88945, 21106, 12483, 4, 6319, 171127, 44478, 4, 14856, 110970, 12483, 3120, 4838, 17288, 104238, 4113, 165284, 55823, 705, 3523, 54260, 1211, 711, 2200, 119055, 12483, 6, 101328, 4838, 874, 39083, 4, 1470, 75230, 2702, 76776, 36258, 238144, 39293, 4, 292, 95766, 8947, 3069, 45521, 38054, 167622, 12483, 4838, 163139, 24152, 149010, 1211, 3069, 7201, 21106, 4, 84475, 564, 48350, 29771, 83182, 4113, 7243, 8903, 159696, 506, 5666, 149010, 101251, 105235, 16747, 12483, 5, 8947, 119055, 109316, 1211, 33960, 104238, 6, 23173, 75230, 2702, 104378, 108599, 23173, 55823, 1211, 4, 119055 ]

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

[ 13845, 107581, 119055, 109316, 1211, 45223, 55823, 1211, 1285, 7508, 54260, 107581, 125523, 7508, 54260, 104238, 119055, 6093, 12483, 2200, 119055, 109316, 1211, 113889, 4667, 45521, 48974, 25207, 101608, 12483, 95455, 895, 141943, 3120, 1285, 1470, 75230, 4944, 8903, 1982, 75230, 18415, 18415, 4, 84475, 6, 59919, 84316, 109636, 1644, 18415, 14856, 110970, 12483, 4, 30109, 48904, 39340, 2205, 6, 75290, 149364, 2200, 2205, 4269, 54260, 16803, 5, 2200, 32054, 54260, 6093, 95766, 4151, 14856, 110970, 4, 14856, 46244, 9424, 54260, 2882, 3069, 6428, 135118, 12483, 2200, 14856, 46244, 187667, 3069, 6, 80264, 4, 14856, 46244, 59919, 29659, 48904, 2442, 7746, 3069, 21776, 119718, 39083, 2882, 9221, 12483, 2200, 14856, 46244, 1470, 75230, 2702, 30473, 40920, 230764, 7369, 7201, 39083, 29400, 64260, 7369, 4, 119055, 12483, 7369, 43649, 20616, 2882, 67882, 16932, 710, 13845, 216333, 4, 292, 42493, 119055, 12483, 1285, 5666, 75230, 2882, 29434, 93449, 1470, 30682, 6150, 75230, 3069, 4, 6150, 7369, 42542, 6, 104985, 6428, 135118, 12483, 6, 159696, 8903, 1211, 10676, 1751, 46545, 13845, 9721, 75230, 2882, 37640, 5666, 26, 2050, 1470, 75230, 8903, 5666, 181615, 4, 2200, 7243, 14856, 46244, 2200, 7243, 6, 238144, 16932, 5, 68313, 8947, 7243, 6235, 3111, 2932, 4, 199145, 1285, 895, 16932, 12483, 151614, 25207, 159696, 1211, 705, 56170, 199145, 9934, 29766, 1644, 12483, 220224, 125523, 160751, 12483, 220224, 123073, 1470, 75230, 1982, 75230, 16932, 199145, 14856, 46244, 3523, 54260, 874, 174121, 117997, 13342, 2050, 1470, 75230, 2702, 80453, 13159, 12483, 705, 56170, 199145, 107776, 220224, 1285, 43649, 54260, 6093, 705, 2200, 3120, 17537, 87680, 2442, 220224, 2882, 4, 163139, 36324, 75230, 170479, 12483, 1285, 895, 16932, 12483, 115222, 2865, 22426, 55823, 1211, 4, 163139, 36324, 75230, 16665, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 4852, 39083, 12483, 220224, 151614, 1982, 12483, 10676, 187667, 3069, 6, 34575, 54260, 165354, 4, 4838, 43649, 54260, 61397, 4, 84475, 3069, 225975, 12483, 4838, 620, 91595, 119055, 99766, 10676, 31807, 506, 45742, 4, 119055, 12483, 220224, 6, 238144, 2702, 12483, 4, 6150, 2205, 35189, 364, 54260, 2050, 7369, 119718, 23173, 2882, 220224, 4838, 364, 21106, 1982, 18133, 26394, 16747, 84475, 14856, 46244, 114955, 44779, 144754, 123736, 7201, 65482, 874, 54260, 44478, 705, 92500, 6428, 47351, 119055, 6093, 204982, 1285, 17824, 13159, 18415, 4, 64699, 1285, 4269, 48904, 26394, 9424, 29771, 54574, 3373, 39083, 94741, 96986, 2205, 34654, 1470, 54260, 90848, 109636, 2808, 40697, 657, 192539, 4, 119055, 10705, 148932, 6, 26892, 220224, 1211, 1470, 3373, 39083, 2648, 40096, 705, 1285, 123736, 12415, 24621, 657, 54260, 2882, 5, 56170, 199145, 107776, 8947, 1285, 1470, 75230, 2702, 1982, 75230, 16932, 705, 7511, 2882, 2190, 112304, 34533, 37826, 6, 76776, 204403, 28726, 68558, 6235, 225975, 2882, 125523, 4838, 620, 26612, 40920, 4, 119055, 10705, 7369, 37826, 59919, 1644, 29766, 12483, 10184, 109316, 16175, 75230, 4852, 192539, 3373, 39083, 94741, 96986, 152, 137, 95766, 1470, 54260, 1211, 112389, 2882, 119055, 29060, 62808, 1285, 43649, 99766, 186046, 15533, 98252, 67882, 4944, 12483, 36324, 75230, 10184, 13845, 3373, 39083, 94741, 96986, 6, 20971, 92500, 6428, 47351, 4, 564, 123073, 4944, 35596, 1285, 3373, 109636, 42180 ]

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

[ 28726, 6, 59919, 38596, 71804, 7201, 17310, 3120, 4151, 22680, 39083, 29060, 23173, 152185, 7038, 16932, 4, 199145, 42542, 6319, 54260, 1211, 874, 39083, 42493, 5332, 22426, 13159, 55242, 42023, 4, 5332, 109636, 51437, 6093, 12483, 4, 5332, 22426, 13159, 212632, 4, 6, 238144, 1644, 22753, 3056, 47783, 6, 35596, 159696, 35189, 7265, 4838, 19302, 54260, 1211, 16580, 16747, 564, 54260, 4151, 9721, 71616, 84475, 7265, 1470, 192544, 2205, 564, 75230, 4667, 705, 22753, 3056, 42493, 24621, 46244, 163139, 4838, 6235, 28317, 2882, 101296, 16629, 1211, 4, 199145, 119055, 77188, 22444, 14004, 7511, 33716, 151614, 1982, 186797, 114955, 5, 2200, 119055, 12483, 18225, 10213, 20315, 185226, 4, 36324, 1285, 32054, 75230, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 145813, 710, 109316, 1211, 1285, 163139, 40920, 18640, 80885, 6, 90848, 28726, 2205, 4151, 21776, 119718, 39083, 92866, 24001, 59461, 6093, 10213, 159696, 2932, 17310, 711, 132, 2648, 120467, 3056, 6, 159696, 110317, 80885, 16667, 874, 54260, 1211, 874, 54260, 3111, 23405, 5, 16, 163139, 36324, 75230, 163139, 21295, 9213, 46244, 4, 2205, 10069, 182261, 93975, 101251, 105235, 16747, 12483, 4, 3069, 104378, 3069, 9213, 46244, 2190, 22753, 1470, 75230, 42410, 44478, 12483, 705, 159696, 1211, 18225, 10213, 236376, 6235, 5666, 75230, 6093, 163139, 6150, 75230, 1285, 6235, 46464, 166968, 54260, 2882, 3120, 1285, 16580, 83182, 119055, 77188, 10213, 2808, 54260, 5666, 21066, 71616, 3120, 220224, 6093, 3069, 17824, 75230, 101608, 9424, 29771, 54574, 4, 42542, 18225, 225975, 12483, 4, 36324, 56170, 4838, 3373, 4667, 114955, 119055, 39083, 2882, 8947, 10184, 13845, 216333, 6235, 159696, 1211, 4, 119055, 12483, 4852, 54260, 6, 104378, 220273, 7243, 230764, 4151, 6, 159696, 21295, 5, 16175, 75230, 4852, 192539, 114955, 119055, 6093, 12483, 8903, 1982, 75230, 25207, 1211, 3120, 15857, 7916, 69181, 40697, 4, 1751, 119718, 710, 16747, 30473, 40920, 93975, 4, 5332, 22426, 710, 28726, 22426, 2882, 40697, 895, 16932, 1211, 4, 119055, 13845, 107581, 160751, 12483, 220224, 220224, 123073, 30109, 48904, 15307, 54260, 96986, 15, 29771, 35189, 6, 48904, 54260, 2932, 17310, 3069, 1285, 30109, 48904, 15307, 54260, 96986, 16, 40653, 4838, 75386, 4838, 6, 142673, 506, 5, 1285, 16580, 83182, 151614, 1982, 12483, 1470, 6, 189069, 26, 158548, 17190, 1982, 12483, 5, 3056, 8947, 42493, 22518, 37016, 32792, 46711, 75230, 215206, 165592, 13845, 107581, 17190, 1982, 172398, 230764, 220224, 1211, 6235, 119718, 21292, 12483, 3069, 6, 226112, 8903, 1211, 705, 2200, 3056, 54745, 1211, 95455, 28726, 1982, 12483, 4, 199145, 1285, 6235, 46464, 152848, 116486, 1644, 29060, 23173, 63188, 137, 3131, 135118, 12483, 155, 220224, 123073, 114955, 2808, 3373, 4667, 14856, 46244, 119055, 77188, 705, 3056, 95455, 42493, 95455, 6235, 2932, 35596, 54260, 1644, 3120, 178766, 6235, 159696, 506, 5666, 149010, 1211, 10213, 68566, 6293, 3120, 17190, 1982, 12483, 705, 3056, 8947, 4838, 17190, 1982, 12483, 4, 119055, 12483, 18225, 37826, 1982, 54260, 9424, 238144, 6, 101328, 46244, 1285, 30109, 48904, 15307, 54260, 2882, 3120, 1285, 123736, 12415, 24621, 114955, 4, 1285, 6, 48775, 15949, 92178, 4, 1285, 6319, 113889, 4944, 12483, 25616, 48904, 15307, 54260, 2882, 4, 119055, 13845, 107581, 6, 59919, 84316, 109636, 21295, 2200, 67882, 40920, 506, 13159, 32792, 12065, 83182, 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 ]

[ 14856, 110970, 12483, 56170, 26, 1211, 6, 119859, 57619, 12483, 17190, 1982, 12483, 705, 3056, 8947, 4838, 26612, 3373, 4667, 84475, 163139, 110317, 114955, 705, 5046, 28726, 1982, 12483, 4, 119055, 12483, 6, 4, 16580, 83182, 4, 199145, 119055, 6093, 12483, 4838, 46590, 905, 160751, 75230, 25207, 1211, 3120, 6235, 46464, 152848, 895, 16932, 1211, 4, 10213, 104378, 55242, 46244, 40026, 506, 1285, 22518, 37016, 149010, 657, 109226, 3131, 119718, 710, 16747, 75230, 40920, 32, 3056, 8947, 4838, 17190, 1982, 12483, 4, 119055, 12483, 114955, 8947, 12483, 7746, 6319, 54260, 1211, 2865, 39083, 42493, 72577, 6, 68558, 4, 84475, 8947, 12483, 6319, 54260, 1211, 874, 39083, 7511, 2882, 95455, 4, 199145, 220224, 6093, 119055, 92605, 2702, 192539, 6, 75290, 149364, 6, 59919, 71804, 23405, 2882, 4, 2200, 119055, 12483, 220224, 6093, 6, 75290, 149364, 119055, 77188, 37729, 10676, 7201, 29766, 75578, 54260, 18415, 2882, 1470, 75230, 7201, 13342, 101470, 76961, 2442, 1644, 54260, 30109, 48904, 15307, 54260, 96986, 705, 3056, 8947, 76961, 1982, 12483, 4, 119055, 12483, 4838, 192544, 55242, 506, 2882, 6319, 54260, 1211, 221895, 6, 170355, 4667, 4, 1470, 75230, 101608, 63259, 10918, 8903, 4269, 59929, 12483, 2200, 33718, 20260, 109316, 21422, 46685, 4, 119055, 10705, 2205, 1285, 163139, 20260, 4113, 44779, 7369, 119718, 23173, 96986, 1470, 30682, 1644, 54260, 20315, 1211, 2200, 30109, 48904, 15307, 54260, 96986, 705, 2200, 2205, 36324, 13845, 107581, 101251, 105235, 16747, 12483, 4, 199145, 159696, 33716, 3120, 1285, 114955, 705, 14856, 110970, 12483, 705, 3523, 54260, 1211, 5, 9424, 87309, 29771, 4944, 65482, 4, 210346, 25207, 4, 3131, 119718, 26612, 107581, 3523, 121495, 7265, 5332, 1982, 12483, 36324, 13845, 107581, 6, 75290, 149364, 4, 199145, 17190, 1982, 12483, 120202, 220224, 6093, 73486, 26394, 9424, 54260, 2882, 2205, 657, 54260, 20315, 1211, 4, 2200, 43649, 23173, 1982, 12483, 125523, 10676, 163139, 18225, 37826, 1470, 75230, 2702, 95064, 80453, 119273, 3120, 220224, 199145, 18225, 37826, 241997, 1470, 75230, 2702, 80453, 13159, 12483, 5, 119718, 120467, 119055, 39083, 2882, 6235, 159696, 1211, 4, 119055, 12483, 4838, 68697, 54260, 16932, 119055, 39083, 96986, 6235, 506, 40096, 163139, 110317, 4, 2932, 29766, 6, 159696, 110317, 114955, 4, 3056, 657, 54260, 40920, 3069, 55242, 506, 12483, 119055, 12483, 18225, 10213, 236376, 1285, 71804, 8903, 163139, 6150, 75230, 22753, 3056, 81444, 2205, 58571, 26394, 1211, 564, 174798, 16011, 12483, 6235, 119718, 29766, 12483, 5, 114955, 92500, 895, 16932, 1211, 14856, 46244, 9934, 40096, 4, 216333, 132025, 8903, 97634, 1211, 4, 292, 151614, 1982, 12483, 4838, 216333, 4113, 119718, 29771, 506, 3111, 23405, 4, 14856, 46244, 9181, 23741, 4, 9424, 54260, 2882, 3069, 145813, 26612, 138194, 12483, 4, 7746, 3069, 564, 142429, 12483, 4, 3069, 105884, 12483, 4, 3069, 17190, 104149, 4, 292, 220224, 1211, 6235, 4852, 41595, 6093, 4, 129165, 506, 149010, 2442, 4, 19302, 161459, 4, 14856, 46244, 2190, 76776, 25559, 141847, 18640, 5, 1285, 7038, 16932, 364, 75230, 47332, 230764, 21776, 2050, 6319, 137377, 4, 17806, 20911, 7746, 4838, 68550, 2205, 35189, 6, 159696, 21295, 4, 6, 238144, 16803, 216333, 4, 199145, 3069, 6, 225975, 12483, 9213, 46244, 192544, 4, 202745, 3120, 2808, 30682, 4838, 216333, 12483, 2200, 1751 ]

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

[ 114436, 12483, 14856, 110970, 12483, 5, 18225, 4151, 39293, 506, 2882, 4, 36324, 8947, 68313, 81444, 4838, 6, 119312, 4, 4838, 564, 75230, 2050, 4, 4838, 364, 52480, 13845, 2819, 18225, 54745, 185226, 3120, 4151, 3069, 17494, 217814, 4, 51723, 364, 75230, 40920, 6, 68558, 5332, 22426, 13159, 119055, 109316, 1211, 4, 18225, 119055, 77188, 43649, 39083, 89930, 2200, 14856, 46244, 39293, 22849, 2702, 103955, 119718, 10705, 16803, 27, 168892, 163139, 1644, 205026, 7243, 3523, 23173, 12483, 2200, 6, 225975, 12483, 4, 36324, 5950, 8300, 218710, 4, 6150, 4838, 6, 119859, 69106, 23847, 75230, 36419, 6, 192539, 17310, 2205, 4151, 6235, 39293, 139962, 145702, 185182, 98833, 123736, 1982, 3120, 4151, 45521, 17800, 15907, 17310, 3120, 1751, 119718, 48904, 61397, 95494, 23741, 2819, 6255, 163139, 1644, 7243, 40653, 23822, 54260, 1982, 12483, 5, 95298, 165592, 8947, 119055, 39083, 2882, 6235, 159696, 1211, 4838, 17824, 75230, 36419, 11211, 108968, 2205, 178766, 6319, 75322, 22426, 6293, 56170, 6, 59929, 29771, 10918, 21106, 6093, 2190, 24621, 50856, 6093, 17310, 4, 119055, 12483, 8947, 119055, 39083, 2882, 6235, 159696, 1211, 2190, 107182, 14088, 6, 59919, 13458, 54260, 18415, 2882, 4, 95455, 3056, 6, 119859, 69106, 162926, 5, 3559, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 710, 91595, 2702, 28726, 1982, 12483, 7916, 2932, 5, 9559, 292, 1285, 6319, 71577, 15907, 21106, 34533, 12483, 21923, 7746, 2007, 5594, 3069, 55242, 506, 12483, 165592, 26612, 1751, 104855, 114955, 564, 54260, 4838, 68697, 54260, 16932, 5, 6, 104985, 95455, 3056, 42493, 6, 21106, 7611, 152, 29060, 149010, 874, 22426, 15350, 26, 12483, 2200, 234917, 16175, 75230, 30750, 114955, 119055, 39083, 96986, 6, 59919, 7201, 39083, 13497, 186797, 2882, 95455, 163825, 5, 163139, 6235, 61541, 2882, 8947, 1470, 54260, 4667, 705, 15, 69355, 6, 44478, 9221, 194, 10069, 3373, 159390, 3120, 1751, 119718, 48904, 61397, 95494, 23741, 95766, 58571, 26394, 1211, 21923, 34654, 3373, 159390, 3120, 1751, 119718, 48904, 61397, 95494, 23741, 10339, 39083, 8903, 152848, 152, 2808, 75230, 175247, 54260, 1982, 12483, 3120, 4151, 874, 172398, 110129, 26612, 10918, 68558, 4, 564, 25207, 4944, 12483, 4, 6, 59919, 192539, 109226, 2205, 20315, 2050, 6, 71577, 29060, 15907, 2200, 2205, 7508, 6093, 45521, 38054, 75230, 2808, 17310, 4, 1751, 57277, 24152, 123073, 6, 59919, 29257, 20260, 13845, 17310, 69355, 1285, 18133, 20260, 109316, 7369, 16932, 230764, 4151, 364, 75230, 2882, 3120, 10676, 6, 75290, 149364, 2200, 3120, 20315, 2050, 41764, 12130, 2819, 1751, 109636, 42180, 1644, 4838, 1751, 119718, 23173, 8300, 4484, 54260, 2882, 4838, 68550, 1285, 9721, 71616, 119718, 23173, 26394, 1211, 92500, 4838, 18133, 20260, 109316, 3944, 142170, 2205, 4151, 7265, 4113, 3120, 4151, 564, 75230, 4667, 506, 75230, 2882, 3120, 1470, 75230, 1982, 12483, 1982, 15533, 6, 23173, 33104, 16932, 2819, 45521, 48974, 25207, 101608, 17310, 3120, 1285, 9721, 34533, 2819, 45521, 48974, 25207, 101608, 17310, 37640, 5666, 26, 2050, 1982, 75230, 4667, 2819, 74806, 119718, 39083, 12483, 2200, 43449, 75230, 32792, 1470, 75230, 2702, 39293, 506, 12483, 3120, 34654, 29434, 75230, 2702, 186797, 4113, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 2819, 6, 192539, 109226, 2205, 7508, 6093, 41764, 21087, 1982, 29771, 203749, 710, 3120, 4151 ]

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

[ 32054, 75230, 5, 4484, 54260, 1211, 1470, 54260, 109985, 6093, 3120, 4231, 39293, 3373, 159390, 3056, 219947, 6, 75230, 104238, 4, 3496, 64260, 3131, 234917, 3120, 220224, 3069, 235210, 12483, 2200, 2205, 8903, 119718, 710, 36419, 9424, 54260, 96986, 119055, 12483, 18225, 42542, 7369, 119718, 23173, 96986, 1751, 119718, 48904, 61397, 95494, 23741, 4, 67882, 4944, 12483, 10069, 1751, 119718, 48904, 61397, 95494, 23741, 119055, 23173, 3131, 54260, 5666, 32792, 5, 292, 10676, 81444, 20911, 29766, 26, 2050, 364, 75230, 22426, 125830, 15289, 68313, 4, 4838, 133880, 1285, 1470, 75230, 1982, 12483, 4151, 87311, 194734, 152, 1285, 17824, 75230, 2702, 2200, 1285, 160238, 2050, 3120, 4151, 59919, 39340, 46244, 2200, 1751, 119718, 48904, 61397, 95494, 23741, 35046, 8903, 75578, 11556, 16932, 4, 199145, 7369, 6235, 7916, 13497, 1470, 75230, 2702, 37729, 4838, 6428, 137377, 13845, 18415, 130170, 46464, 4944, 17310, 4, 3120, 22639, 4113, 159696, 110317, 2200, 3120, 29434, 75230, 2702, 12483, 2819, 95455, 42542, 1470, 30682, 95298, 7243, 8903, 1982, 12483, 6319, 54260, 1211, 69529, 21776, 124740, 2882, 40096, 119055, 12483, 3373, 26, 68313, 3069, 40026, 506, 4, 7508, 5, 364, 5, 2205, 1285, 200795, 29434, 54260, 119055, 29771, 4944, 12483, 3120, 4151, 1751, 119718, 122978, 6093, 95494, 23741, 5, 292, 1285, 162926, 80885, 3373, 159390, 4852, 171428, 95455, 10184, 54574, 12483, 3120, 1285, 10213, 159696, 2932, 109226, 3120, 10676, 192544, 2200, 95455, 49920, 12483, 69355, 10676, 192544, 26, 5, 364, 23173, 7611, 21733, 71577, 12483, 4, 119055, 13845, 107581, 21923, 7369, 29659, 178748, 32792, 2205, 35189, 7265, 4113, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 5, 95455, 3056, 167048, 141847, 163139, 2702, 43178, 95494, 23741, 32792, 6, 238197, 2819, 6, 159696, 8903, 1211, 6235, 159696, 506, 5666, 149010, 2200, 6, 80453, 129071, 40697, 9424, 159696, 165354, 21923, 1285, 1470, 75230, 12890, 8903, 3373, 159390, 6235, 3111, 2932, 2205, 133190, 101296, 28726, 10339, 109316, 2200, 18225, 42542, 225975, 12483, 36324, 4151, 81444, 20911, 29766, 4151, 4484, 35596, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 119055, 12483, 22753, 3056, 13982, 54260, 84475, 10184, 6093, 119055, 29771, 4944, 12483, 6, 186955, 5, 59919, 36419, 46244, 2205, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 8300, 54260, 125830, 26, 68313, 72577, 18225, 170479, 42493, 151614, 1982, 12483, 6319, 54260, 1211, 6, 59919, 39340, 46244, 2205, 1285, 141879, 13982, 54260, 874, 232187, 96986, 5, 2205, 1285, 200795, 73880, 170479, 4151, 6, 59919, 39340, 46244, 7243, 4852, 54260, 1211, 36324, 75230, 123736, 23741, 163139, 40026, 506, 6093, 2200, 7243, 36324, 75230, 1751, 57277, 24152, 5, 1470, 75230, 1982, 4151, 6, 59919, 39340, 46244, 67882, 40920, 4151, 32054, 75230, 85596, 29025, 12483, 4, 170479, 18225, 216333, 220273, 7243, 151614, 1982, 12483, 6319, 54260, 1211, 6, 59919, 39340, 46244, 4, 1470, 75230, 1982, 178748, 32792, 5, 10069, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 30473, 2205, 125523, 7243, 6235, 159696, 1211, 45521, 17800, 54260, 2442, 26632, 29060, 6319, 54260, 1211, 10184, 6093, 6, 101328, 46244, 2200, 506, 64260, 1751, 75230, 1211, 6235, 506, 40096, 9424, 238144, 114955, 5, 1470, 54260, 1211, 192544, 37826, 22753, 6235, 119718, 39083, 2882, 151614, 1982, 12483, 92500, 22753, 3056, 6235, 159696, 1211, 34076 ]

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

[ 7682, 32792, 119055, 12483, 8947, 3056, 132025, 130991, 2819, 564, 54260, 2050, 9424, 238144, 96986, 3056, 22753, 1751, 75230, 1211, 6235, 159696, 1211, 2190, 57619, 905, 94626, 16870, 12483, 6, 104985, 22753, 37826, 7746, 9915, 13845, 6235, 23822, 54260, 16803, 2200, 37826, 132025, 8903, 506, 75230, 1982, 12483, 6, 113889, 4944, 22680, 4113, 8903, 1211, 564, 54260, 32054, 54260, 50856, 710, 49008, 1470, 75230, 1982, 220224, 238144, 2702, 12483, 7243, 199145, 56170, 174538, 12483, 18225, 42542, 132025, 159696, 16747, 12483, 67537, 710, 3069, 6, 59919, 87637, 96986, 1751, 119718, 48904, 61397, 95494, 23741, 5, 177274, 1211, 874, 171433, 26632, 4, 119055, 12483, 9213, 46244, 137, 8300, 54260, 2882, 155, 3056, 6235, 159696, 1211, 13342, 61541, 18640, 4838, 203326, 13845, 45521, 93509, 109636, 2882, 176727, 4, 37826, 22753, 6235, 10918, 16932, 2882, 5, 220224, 151614, 1982, 12483, 1982, 54260, 20315, 6235, 80264, 199145, 220224, 151614, 1982, 12483, 6235, 119718, 10705, 16803, 4, 95298, 36324, 75230, 163139, 220224, 123073, 174538, 12483, 4852, 171428, 7243, 6235, 159696, 1211, 1285, 6, 120749, 93975, 4, 3056, 22753, 73784, 29434, 710, 96986, 874, 39083, 6, 59919, 185337, 12483, 95766, 6, 226112, 8903, 1211, 5, 95455, 874, 39083, 4, 119055, 12483, 22753, 37826, 45521, 93509, 57277, 49008, 9213, 46244, 6, 71804, 8903, 4, 3056, 14004, 46244, 6319, 186955, 6235, 119718, 29766, 12483, 2205, 364, 23173, 7611, 4, 2200, 119055, 12483, 4151, 6, 212915, 3056, 72649, 54260, 2050, 6235, 49150, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 104378, 3120, 4151, 4838, 68697, 54260, 2882, 4, 3056, 6235, 3111, 2932, 6235, 159696, 1211, 4838, 6, 181615, 3120, 9213, 46244, 4, 9747, 6093, 170479, 7746, 132025, 29659, 75230, 2702, 12483, 6, 159696, 8903, 1211, 199145, 8947, 364, 183512, 13845, 2882, 7746, 4, 2200, 1285, 129165, 506, 149010, 874, 71512, 7265, 119055, 13845, 104238, 7369, 3056, 6, 23173, 54260, 1211, 2205, 1751, 104855, 4, 3056, 45521, 93509, 119718, 10705, 16747, 12483, 6235, 119718, 29766, 12483, 3120, 220224, 1211, 41764, 12130, 5, 1285, 114955, 44779, 37826, 18225, 6, 59919, 76776, 10813, 4113, 1982, 176727, 5, 119055, 12483, 220224, 21923, 1470, 54260, 5666, 8903, 31249, 29771, 55823, 1211, 4, 37826, 18225, 7746, 4838, 159696, 4484, 8903, 4852, 21660, 174410, 905, 18553, 16870, 12483, 1285, 4269, 48904, 26394, 6, 71804, 8903, 5, 22753, 37826, 5960, 132025, 7201, 48904, 2932, 220273, 7243, 241997, 2442, 6093, 12483, 4, 1285, 6, 186145, 46244, 12483, 151614, 1982, 12483, 22753, 74806, 46545, 2882, 5, 7369, 37826, 22753, 6235, 23822, 54260, 16803, 2200, 8903, 17494, 29659, 9213, 46244, 364, 104274, 4, 6, 104985, 7369, 37826, 7746, 7243, 216333, 6235, 55823, 506, 21295, 3120, 14004, 46244, 5, 2200, 6, 47351, 40653, 30473, 40920, 3120, 220224, 6093, 6, 59919, 12415, 172398, 2882, 2200, 3120, 220224, 123073, 2808, 75230, 2702, 119859, 1982, 12483, 2205, 6235, 101296, 40920, 6235, 119718, 29766, 12483, 2819, 3373, 26, 68313, 6235, 159696, 1211, 4838, 21776, 30741, 17310, 3120, 2932, 90848, 3131, 12483, 2819, 2200, 4838, 2050, 5332, 152848, 21923, 220224, 6, 130991, 73784, 620, 24244, 36324, 14856, 46244, 163139, 8300, 238144, 114955, 51678, 220224, 7243, 151614, 1982, 12483, 2200, 151614, 1982, 12483, 10213, 31249 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12483, 36324, 4113, 22426, 21292, 65146, 182261, 6235, 80264, 119055, 6093, 12483, 5, 7369, 37826, 9213, 46244, 95298, 132025, 8903, 225975, 2882, 36324, 710, 170479, 7746, 132025, 22680, 4113, 8903, 1211, 1470, 75230, 1982, 48494, 203232, 130170, 1982, 25207, 4944, 12483, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 42542, 7243, 1751, 23173, 12483, 73784, 6235, 4852, 88917, 4, 2200, 1470, 75230, 1982, 6, 101328, 4, 170479, 22753, 216333, 220273, 7243, 6, 212484, 12483, 6, 80264, 5, 6, 104985, 22753, 37826, 7746, 123736, 1982, 8903, 119718, 710, 29659, 1285, 6, 186145, 46244, 12483, 2200, 74806, 119718, 93975, 1211, 4, 119055, 20616, 189623, 2442, 9213, 46244, 41764, 12130, 37826, 182261, 6235, 84316, 8903, 1211, 6, 47351, 35596, 31249, 120467, 65482, 874, 71512, 4, 119055, 13845, 107581, 37826, 74806, 54260, 13497, 132025, 72631, 54260, 96986, 36324, 22753, 37826, 219947, 874, 151461, 56170, 6319, 54260, 1211, 198836, 6235, 7201, 26612, 46244, 5, 20315, 2050, 23050, 40377, 96986, 166464, 37826, 22753, 40653, 8903, 212484, 2882, 1285, 114955, 44779, 564, 54260, 14004, 46244, 67882, 51723, 2200, 22753, 37826, 132025, 8903, 506, 75230, 1982, 12483, 10676, 1751, 159696, 25207, 1211, 2200, 46711, 75230, 215206, 12483, 92500, 7369, 7511, 13982, 93975, 16747, 12483, 6, 159696, 2932, 3120, 76961, 116486, 1644, 29060, 23173, 40697, 67882, 195164, 5, 22753, 37826, 30750, 46464, 40920, 32054, 54260, 107829, 49008, 4, 10213, 78683, 194734, 2200, 38087, 9134, 4, 9747, 199145, 14856, 46244, 3069, 7369, 27720, 76216, 25207, 1211, 6, 159696, 8903, 1211, 32054, 75230, 12483, 199145, 21923, 2205, 9213, 46244, 6, 71804, 8903, 5, 14856, 46244, 80885, 16667, 7201, 147713, 22753, 7243, 124724, 87442, 129165, 8903, 1211, 6, 159696, 8903, 1211, 7746, 4, 6, 104985, 22753, 10339, 147713, 15864, 4944, 12483, 4838, 8903, 3131, 80453, 4113, 4667, 6, 159696, 8903, 1211, 21776, 2050, 64769, 8580, 2205, 4838, 122868, 63593, 54260, 1211, 5, 193012, 21923, 6, 59919, 185337, 12483, 92500, 6319, 54260, 1211, 6, 80453, 129071, 40697, 1211, 10213, 3131, 167673, 37826, 22753, 7243, 241997, 6, 101470, 5, 22753, 37826, 8903, 506, 77188, 1751, 75230, 35189, 506, 26612, 23741, 4113, 74806, 710, 40920, 12483, 3120, 32054, 75230, 12483, 199145, 151614, 1982, 12483, 7746, 6, 21106, 54260, 1211, 30750, 85465, 152848, 21295, 2200, 6235, 46464, 40920, 41764, 29631, 3069, 119055, 6093, 12483, 3120, 6, 47351, 1470, 17310, 4113, 119718, 24295, 105235, 3131, 119718, 48904, 61397, 95494, 23741, 4, 22753, 37826, 221387, 199145, 56170, 2190, 214766, 75230, 1982, 149010, 6, 170355, 4944, 12483, 4852, 54260, 151614, 1982, 12483, 6235, 13458, 75230, 40920, 4151, 13342, 2200, 163139, 6319, 48775, 20260, 874, 48904, 107581, 3120, 220224, 21923, 8903, 119718, 29766, 12483, 4, 22753, 37826, 221387, 3120, 1470, 54260, 59461, 199145, 3056, 4151, 69355, 74806, 205416, 1982, 12483, 5, 30473, 37826, 7369, 7201, 26612, 46244, 12483, 1285, 4838, 13982, 13159, 12483, 3120, 17288, 1982, 75322, 12483, 2200, 6150, 75230, 32054, 75230, 12483, 2200, 2865, 114436, 199145, 160751, 12483, 7746, 123736, 1982, 7265, 34654, 39293, 10213, 506, 186955, 65482, 6, 170355, 4944, 12483, 5, 2200, 22753, 12415, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 63620, 506, 64260, 1751, 75230, 1211, 6235, 119718, 39083, 2882, 6, 61397, 12483, 3069, 1211, 4838 ]

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

[ 17288, 1982, 75322, 4113, 2819, 6, 104985, 22753, 37826, 6235, 28726, 104149, 95766, 4838, 9424, 54260, 2882, 17310, 6, 159696, 8903, 1211, 4838, 46711, 75230, 6093, 93975, 1211, 10339, 21106, 3120, 4838, 32054, 75230, 199145, 3056, 101251, 130991, 37729, 6, 47351, 120202, 6093, 26612, 10918, 68558, 3120, 4838, 17288, 25491, 2050, 2819, 6, 75230, 37826, 1470, 75230, 4667, 7369, 7201, 26612, 46244, 12483, 36324, 1285, 17288, 1982, 75322, 12483, 4838, 68697, 54260, 96986, 7243, 47783, 7508, 54260, 1211, 2200, 163139, 2702, 43178, 95494, 23741, 32792, 5, 4151, 7201, 23173, 3056, 22753, 1751, 75230, 1211, 6235, 5666, 54260, 98833, 6235, 159696, 1211, 3069, 6235, 506, 12483, 3069, 1211, 6, 93704, 218241, 205416, 4, 6, 104985, 22753, 37826, 3069, 6093, 29659, 6235, 119718, 39083, 2882, 1470, 75230, 150349, 62763, 9221, 12483, 1285, 364, 75230, 4852, 9719, 21338, 12483, 4, 119055, 13845, 107581, 1285, 32054, 75230, 12483, 151614, 1982, 12483, 9213, 46244, 6, 195054, 75230, 47332, 5, 22753, 37826, 185000, 25391, 37016, 32792, 364, 54260, 36419, 10213, 35189, 2200, 1470, 54260, 110970, 80453, 31623, 109226, 4, 22753, 3056, 6, 195054, 29771, 55823, 1211, 4, 22753, 506, 64260, 74806, 80453, 109226, 4, 22753, 3056, 4838, 144532, 8903, 240863, 12483, 4269, 48904, 26394, 193012, 2200, 72649, 54260, 2050, 6, 130991, 4838, 20033, 4113, 4, 4838, 3069, 1982, 90848, 4944, 65482, 4, 95298, 8947, 37826, 220273, 7243, 6235, 506, 39083, 55823, 1211, 5, 22753, 37826, 1751, 75230, 1211, 132025, 8903, 506, 75230, 1982, 12483, 3069, 9424, 238144, 21066, 12483, 1470, 75230, 1982, 8947, 3056, 88771, 36324, 54595, 13845, 107581, 174538, 12483, 45223, 55823, 1211, 221895, 32054, 75230, 12483, 5, 4151, 113889, 4667, 3056, 6, 130991, 6, 59929, 127732, 14856, 10069, 78683, 96302, 12483, 5, 22753, 37826, 1470, 54260, 5666, 139449, 1285, 5332, 39340, 10125, 145702, 13159, 18415, 29771, 1982, 111684, 155045, 21338, 12483, 4, 22753, 37826, 74806, 1644, 109226, 76961, 17800, 183512, 112216, 2882, 35596, 9221, 18415, 2200, 219947, 112216, 2882, 35596, 9221, 18415, 41764, 15350, 12483, 4, 119055, 59929, 6093, 12483, 4, 41764, 15096, 159696, 2442, 4, 36324, 13845, 107581, 199145, 32054, 75230, 12483, 85465, 200117, 12483, 9213, 46244, 6235, 8903, 1982, 12483, 2200, 1285, 199145, 22753, 37826, 6235, 4484, 90848, 8903, 1211, 3120, 10676, 4838, 204403, 24621, 75290, 5, 234917, 874, 39083, 37826, 22753, 7746, 6, 57277, 39340, 6235, 55823, 506, 21295, 70695, 20260, 4, 95298, 35189, 7369, 119718, 23173, 18415, 16932, 21776, 124740, 2882, 40096, 3056, 7243, 6, 130991, 5, 22753, 3056, 6235, 119718, 29766, 12483, 17160, 59929, 4, 6, 87311, 61397, 4, 123736, 1982, 8903, 3131, 119718, 26612, 40920, 4, 6, 76776, 10813, 13159, 18640, 2205, 364, 75230, 4852, 2200, 159190, 7746, 2819, 10069, 114955, 37826, 22753, 6319, 75230, 2050, 6235, 39293, 506, 12483, 234917, 238419, 2205, 166464, 5, 14004, 46244, 6, 212915, 37826, 7746, 7369, 8903, 7611, 6235, 116793, 12483, 234917, 81444, 1644, 23173, 2200, 22753, 2205, 26612, 159696, 4484, 3069, 1211, 4838, 81444, 20911, 29766, 5, 8947, 3056, 6235, 159696, 1211, 1470, 54260, 59461, 3120, 119055, 13845, 107581, 22753, 37826, 8903, 506, 77188, 4838, 3373, 4667, 72577, 13159, 5, 95298, 1285, 168155, 184639, 71180, 2882, 3056, 6235, 159696, 1211, 6, 47351, 35596 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3131, 17310, 5, 4151, 81444, 20911, 29766, 37826, 9213, 46244, 7369, 21733, 77188, 36324, 4, 3496, 64260, 3131, 7369, 177157, 22426, 40096, 15533, 54196, 7265, 9213, 46244, 4, 42542, 7369, 220273, 7243, 6, 80264, 4, 6, 238144, 1644, 8947, 3056, 1470, 17310, 48350, 21660, 32792, 4, 2200, 7369, 119055, 39083, 2882, 7746, 2200, 220224, 1211, 6, 78683, 12415, 123073, 2200, 220224, 1211, 10339, 26612, 123559, 4113, 6, 190135, 2205, 4838, 17824, 75230, 101608, 6235, 7201, 26612, 46244, 5, 6319, 54260, 1211, 10213, 96986, 2200, 6, 238144, 49008, 37826, 219947, 6235, 506, 39083, 55823, 1211, 5, 94741, 1211, 3056, 22753, 6235, 240863, 12483, 3069, 10676, 564, 37016, 84577, 12483, 29434, 5, 9934, 75230, 2932, 212915, 223229, 106, 4, 35189, 119055, 13845, 104238, 3056, 36324, 75230, 32887, 15231, 2932, 2205, 4151, 6, 73381, 35596, 7972, 106504, 54260, 2882, 2200, 564, 54260, 119055, 63593, 172398, 16175, 9221, 8947, 43649, 20616, 2882, 47783, 4838, 23050, 61397, 5, 7369, 37826, 9213, 46244, 9934, 29771, 7201, 99766, 6235, 225975, 2882, 36324, 7369, 119055, 29060, 8947, 6, 80264, 2200, 37826, 9213, 46244, 132025, 8903, 8903, 1982, 12483, 220224, 1211, 6, 80453, 54260, 4852, 5, 22753, 68313, 4151, 3131, 90848, 165354, 6235, 119718, 29766, 12483, 2200, 3056, 3069, 23269, 185337, 12483, 3069, 4151, 16175, 9221, 5, 4151, 66947, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 2648, 218241, 205416, 37826, 4838, 1751, 80453, 17310, 6235, 80264, 4, 37826, 6, 59919, 31249, 120467, 12483, 1285, 16175, 9221, 2200, 3069, 139449, 10676, 620, 21292, 13845, 5, 2451, 1470, 54260, 35189, 9213, 46244, 6235, 506, 2882, 4838, 159696, 4484, 65146, 2882, 9213, 46244, 20033, 564, 21660, 29771, 54574, 12483, 2819, 13159, 3056, 6, 105780, 6293, 81444, 1644, 23173, 5, 2451, 6, 105780, 6293, 81444, 1644, 23173, 705, 9213, 46244, 37826, 81444, 4667, 205026, 4838, 46590, 905, 7243, 130170, 46464, 40920, 27, 2200, 6255, 6, 238144, 2702, 36324, 1470, 54260, 6093, 6, 80453, 54260, 4852, 3056, 7243, 36324, 75230, 10184, 13845, 5, 2451, 6255, 163139, 1644, 95298, 6, 105780, 6293, 81444, 1644, 23173, 27, 9915, 13845, 4, 6255, 151614, 1982, 7243, 6319, 54260, 1211, 8300, 54260, 2882, 711, 9213, 46244, 6, 238144, 16803, 6150, 6255, 42542, 1470, 54260, 4667, 6, 212484, 12483, 6, 23173, 119273, 9221, 12483, 4, 56170, 59919, 71804, 183216, 4838, 10339, 139365, 25207, 104238, 40697, 2702, 7265, 13845, 5, 92500, 22753, 37826, 1470, 30682, 6235, 8903, 1982, 12483, 95455, 6235, 50853, 4, 7243, 163139, 2702, 186797, 47833, 22753, 165354, 1470, 30682, 17824, 142429, 36324, 75230, 72577, 6, 212484, 12483, 6, 23173, 119273, 9221, 12483, 5, 113889, 4944, 9719, 97634, 2932, 3056, 22753, 6235, 4852, 13159, 12483, 2200, 6235, 119718, 23173, 2882, 2205, 119055, 23173, 18415, 10918, 46685, 69355, 29434, 5, 9934, 75230, 2932, 212915, 223229, 787, 4151, 81444, 20911, 29766, 3056, 6, 130991, 3069, 27720, 76216, 25207, 1211, 144754, 4838, 657, 54260, 40920, 12483, 119055, 29771, 8903, 1211, 4, 7265, 9424, 238144, 45521, 38054, 4, 119055, 13845, 107581, 4838, 6, 174763, 59461, 37826, 8903, 111684, 33716, 5, 95455, 6, 159696, 8903, 28726, 7265, 1285, 45521, 38054, 10339, 147713, 7369, 1285, 183216, 230764, 10676, 142137 ]

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

[ 2200, 10339, 147713, 32899, 76216, 25207, 1211, 4838, 46590, 905, 3069, 1285, 44917, 76216, 35596, 80885, 163139, 30473, 96986, 5, 220224, 23269, 22426, 215726, 13497, 12483, 151614, 1982, 12483, 6235, 21847, 75230, 47332, 36324, 95455, 3056, 220224, 1211, 119055, 29771, 8903, 1211, 2200, 95455, 3056, 8903, 159696, 1211, 56170, 220224, 4838, 216333, 9424, 54260, 81371, 2702, 6, 75230, 220224, 1211, 1285, 22426, 17410, 203232, 5, 9213, 1285, 14856, 10069, 10918, 5666, 40697, 45521, 45629, 54260, 49008, 2200, 6235, 39293, 139962, 145702, 12483, 10339, 147713, 7369, 18133, 59461, 12483, 6235, 8903, 1211, 10069, 10339, 139365, 25207, 104238, 40697, 364, 183512, 1644, 109226, 3120, 1285, 81444, 20911, 75230, 16847, 199145, 67882, 4944, 12483, 1285, 22680, 75230, 12483, 874, 22426, 15350, 220224, 1211, 4, 10213, 236376, 186797, 220224, 4838, 75386, 55242, 1644, 134727, 54260, 96986, 4, 3496, 64260, 86733, 37826, 6235, 119718, 10705, 16803, 6150, 14856, 46244, 163139, 1285, 45223, 23741, 3120, 220224, 188485, 8947, 5, 76961, 4852, 54260, 23269, 3069, 506, 6093, 6093, 10339, 147713, 12483, 1470, 30682, 657, 75230, 1982, 12483, 2200, 10339, 147713, 12483, 1470, 75230, 4667, 7508, 6093, 12483, 6235, 8903, 1211, 35189, 137, 8903, 2865, 54260, 59461, 4, 24012, 13982, 161459, 6, 80453, 129071, 125897, 3120, 234917, 6, 59919, 17160, 171433, 39293, 18415, 6093, 8300, 18415, 4, 199145, 10213, 101080, 26394, 1211, 178766, 44917, 200117, 109316, 116486, 55823, 21087, 68558, 2909, 2200, 76961, 144754, 97594, 6093, 6093, 3120, 34654, 104149, 14856, 10069, 10918, 207591, 12483, 45521, 45629, 54260, 1211, 10339, 147713, 12483, 2205, 6235, 506, 54260, 2050, 137377, 6093, 9221, 12483, 1751, 119718, 48904, 8903, 25207, 32054, 75230, 12483, 5, 2200, 1470, 75230, 4667, 29434, 5, 163139, 2932, 212915, 223229, 116, 3056, 8300, 119718, 40697, 1211, 1285, 32054, 75230, 12483, 564, 37016, 84577, 6235, 159696, 1211, 4838, 75386, 1470, 54260, 59461, 119055, 13845, 104238, 6, 105515, 8947, 29771, 23741, 5, 144754, 1285, 77775, 112216, 10918, 35596, 12483, 37826, 7369, 6, 238197, 6428, 54260, 48253, 4, 9747, 220224, 2808, 54260, 57619, 905, 21066, 54260, 2702, 12483, 14856, 46244, 21776, 150349, 87442, 4, 3496, 64260, 3131, 7369, 3056, 7369, 8300, 75230, 8903, 1211, 6235, 119718, 29766, 12483, 144754, 230191, 2200, 3496, 64260, 3131, 1285, 39293, 145813, 48775, 4667, 37826, 7369, 4838, 2050, 564, 13159, 96986, 241997, 5, 6093, 37826, 27702, 50853, 1470, 54260, 5666, 8903, 119718, 15350, 176727, 3069, 6, 80264, 199145, 22753, 37826, 6, 59919, 71804, 23405, 2882, 4, 10069, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 46659, 29771, 75578, 36324, 75230, 163139, 4151, 6, 80453, 54260, 4852, 2205, 6235, 159696, 1211, 4838, 3069, 364, 75230, 104238, 56170, 9213, 46244, 4, 37826, 30473, 3069, 8903, 225975, 2882, 3069, 6, 104378, 10676, 23050, 40377, 96986, 166464, 2200, 3056, 4838, 159696, 4484, 7265, 4151, 26612, 1982, 30473, 40920, 7243, 14856, 46244, 98252, 13342, 104378, 5, 13982, 5, 9934, 75230, 2932, 212915, 223229, 138, 3056, 6235, 159696, 1211, 6, 47351, 132025, 7201, 48904, 61397, 5, 7369, 37826, 6, 59919, 71804, 23405, 2882, 4838, 19302, 54260, 23269, 45495, 24621, 56170, 45223, 55823, 1211, 9213, 46244, 2200, 37826, 9213, 46244, 6235, 8903, 1982, 12483, 22426, 15350, 12483, 5, 4838, 129165, 506, 149010, 3056, 22753, 72649, 54260 ]

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

[ 2050, 6, 130991, 4, 6, 104985, 119055, 12483, 234917, 193012, 4852, 171428, 4838, 159696, 4484, 4, 37826, 22753, 6235, 39293, 506, 12483, 36324, 6319, 54260, 1211, 163139, 24152, 17310, 3056, 7243, 29771, 5, 21776, 38054, 218241, 205416, 37826, 9213, 46244, 23050, 2865, 32792, 6235, 8903, 1982, 12483, 4838, 6, 119859, 69106, 34076, 54260, 4944, 154739, 15231, 8903, 14856, 10069, 10918, 1211, 5, 13982, 5, 163139, 2932, 212915, 223229, 201, 3056, 6235, 159696, 1211, 3069, 137, 22680, 54260, 16747, 32792, 155, 3069, 1211, 9213, 46244, 2200, 506, 64260, 230764, 9213, 46244, 6235, 101296, 40920, 4838, 620, 91595, 12483, 1470, 54260, 16747, 55049, 4, 3056, 22753, 9915, 13845, 4838, 159696, 4484, 4, 4944, 107182, 4838, 177282, 29771, 55823, 1211, 4, 125523, 1470, 54260, 35189, 7369, 37826, 22753, 130170, 46464, 40920, 5, 136108, 5, 9934, 75230, 2932, 212915, 223229, 190, 37826, 6, 59919, 71804, 23405, 2882, 4838, 45495, 24621, 6235, 50853, 4, 9747, 22753, 13342, 21776, 88660, 2865, 183512, 9221, 12483, 3069, 1211, 29434, 5, 9934, 75230, 2932, 212915, 223229, 305, 4, 119055, 13845, 104238, 119055, 29060, 9213, 506, 17800, 13845, 55823, 1211, 5, 29434, 5, 9934, 5, 223229, 190, 2205, 6235, 159696, 1211, 4838, 6, 135947, 3120, 29434, 5, 9934, 5, 223229, 305, 4, 159696, 51723, 7369, 10339, 147713, 7213, 165354, 137, 61541, 4113, 2909, 13982, 5, 9934, 75230, 2932, 212915, 223229, 305, 37826, 9213, 46244, 6, 141943, 32792, 6235, 506, 39083, 55823, 1211, 5, 48494, 203232, 68313, 6235, 159696, 1211, 220224, 1211, 1751, 109636, 10918, 21106, 131044, 2819, 7369, 37826, 6319, 54260, 1211, 221895, 1470, 47332, 54260, 1644, 17310, 3120, 14856, 10069, 10918, 1211, 7243, 6, 80453, 129071, 31623, 54196, 5, 119718, 710, 36324, 75230, 1285, 364, 15350, 55823, 3056, 6235, 159696, 1211, 4, 199145, 1285, 32054, 75230, 37826, 6235, 7972, 96986, 78278, 30473, 37826, 7746, 6, 150839, 39083, 2882, 4, 95455, 21923, 657, 48904, 8903, 46711, 75230, 6093, 93975, 6319, 71577, 710, 21338, 12483, 4, 119055, 13845, 30750, 6255, 119055, 13845, 23165, 1751, 109636, 16932, 6, 75322, 39083, 4151, 26394, 54574, 12483, 5, 29771, 75578, 4151, 238144, 1644, 170479, 12483, 76961, 163139, 2702, 12483, 163139, 36324, 75230, 116486, 1644, 29060, 23173, 40697, 22680, 75230, 12483, 657, 54260, 20315, 1211, 5, 2865, 22426, 15350, 220224, 1211, 51723, 130170, 3131, 54260, 20315, 2882, 9424, 238144, 3373, 99766, 12483, 874, 22426, 15350, 4852, 54260, 1211, 152, 4151, 88771, 26, 6093, 2865, 22426, 15350, 15, 29771, 35189, 4838, 1982, 99766, 18340, 16, 2200, 1285, 40026, 506, 8903, 28317, 2882, 5, 20033, 119055, 109316, 1211, 24621, 46244, 80885, 16667, 43449, 75230, 4852, 10676, 5, 200795, 1211, 132025, 2442, 25046, 12483, 7265, 10676, 6, 113889, 51723, 874, 22426, 15350, 5, 26612, 874, 22426, 15350, 3056, 95455, 6, 23173, 75230, 2702, 104378, 3120, 4151, 80839, 40920, 2205, 1285, 200795, 3882, 119055, 29771, 4944, 12483, 3120, 4151, 1751, 119718, 26612, 61397, 95494, 23741, 4, 95455, 364, 54260, 16803, 119055, 12483, 1285, 80839, 40920, 42542, 7511, 2882, 17190, 1982, 12483, 1470, 75230, 101608, 506, 21106, 1982, 4151, 6235, 75578, 11556, 16932, 5, 4838, 40026, 506, 8903, 28317, 2882, 3056, 95455, 23173, 75230, 2702, 104378, 3120, 4151, 80839, 40920, 2205, 21776, 2050 ]

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

[ 6, 115536, 12483, 78278, 9424, 20616, 13497, 12483, 1751, 119718, 48904, 54100, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 61397, 95494, 23741, 114349, 232187, 2882, 4, 95455, 364, 54260, 16803, 119055, 12483, 1285, 80839, 40920, 42542, 4, 130170, 6, 120749, 161459, 1470, 75230, 7201, 22426, 59929, 17310, 4, 43449, 54260, 1982, 12483, 17190, 1982, 12483, 5, 63864, 170355, 4944, 12483, 6, 19721, 5, 95455, 47940, 29659, 23173, 1982, 12483, 3120, 4151, 80839, 47332, 103854, 30109, 48904, 15307, 54260, 96986, 199145, 21923, 40653, 8903, 185337, 12483, 3069, 4151, 80839, 40920, 3120, 10069, 895, 16932, 12483, 2200, 37729, 2190, 5666, 120749, 93975, 1470, 75230, 2702, 44693, 2648, 17310, 84475, 37729, 70695, 20260, 506, 54260, 96986, 3120, 4151, 80839, 47332, 6, 21106, 54260, 1211, 4, 3120, 1285, 364, 54260, 2882, 44779, 199145, 163139, 21733, 12483, 22753, 159190, 4, 69355, 4151, 41764, 71804, 8300, 35596, 26612, 15, 2648, 120467, 6, 99766, 16, 2200, 3120, 10676, 3523, 137377, 13845, 29659, 48775, 23405, 5, 26612, 55242, 46244, 123736, 23741, 4113, 34482, 170355, 107581, 3120, 123736, 56703, 57277, 207650, 1211, 3120, 4151, 80839, 40920, 2205, 364, 63188, 105235, 874, 232187, 96986, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 3056, 15857, 46590, 21292, 4, 6, 47351, 171433, 105235, 39340, 152848, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 5, 1470, 75230, 1982, 4151, 10339, 64260, 6093, 84475, 1285, 11556, 16932, 21923, 15857, 46590, 34533, 13456, 2205, 4151, 9424, 54260, 2882, 3120, 26, 2050, 73095, 13805, 905, 109316, 1211, 6, 59919, 39340, 46244, 42542, 15, 219947, 65146, 711, 16, 1285, 80839, 40920, 1285, 30109, 48904, 15307, 54260, 2882, 4231, 93509, 26, 171428, 2200, 1470, 54260, 23269, 3120, 1285, 10339, 39083, 8903, 1211, 4151, 69355, 2205, 4151, 16175, 75230, 2882, 3120, 4151, 80839, 40920, 5, 8947, 3056, 2808, 75230, 4667, 874, 43178, 32792, 36324, 1285, 39293, 30109, 48904, 15307, 54260, 2882, 170479, 40653, 8903, 506, 12483, 3120, 10676, 10339, 64260, 6093, 2808, 75230, 6293, 4151, 80839, 40920, 2200, 7243, 6319, 48775, 20260, 67882, 1982, 12483, 1285, 7038, 16932, 84475, 6, 159696, 110317, 80885, 16667, 7243, 49920, 7201, 29766, 2442, 25046, 12483, 6319, 54260, 23269, 6319, 35596, 149010, 15857, 46590, 34533, 40697, 177157, 22426, 97634, 51723, 2205, 9213, 46244, 5, 292, 42493, 6, 104985, 15857, 46590, 21292, 2819, 1470, 75230, 4667, 221895, 1751, 159696, 25207, 25616, 48904, 15307, 54260, 96986, 3120, 4151, 7038, 16932, 4, 2205, 4838, 1751, 159696, 25207, 1211, 17824, 93704, 4, 3373, 54260, 22753, 37826, 220224, 8903, 4484, 90848, 8903, 1211, 56170, 4151, 1751, 119718, 26612, 61397, 95494, 23741, 4, 3373, 54260, 6, 159696, 46244, 141943, 4151, 1751, 119718, 26612, 61397, 95494, 23741, 4, 51678, 151614, 1982, 12483, 4838, 75386, 10339, 39083, 23269, 10676, 16175, 75230, 2882, 3120, 4151, 80839, 40920, 6, 4, 2451, 73784, 1982, 54260, 3131, 22426, 710, 13845, 4, 24012, 6093, 12483, 25616, 48904, 15307, 54260, 96986, 4, 364, 23173, 7611, 25616, 48904, 15307, 54260, 96986, 4, 657, 109226, 58679, 5666, 52671, 54260, 96986, 5, 95298, 55242, 46244, 123736, 23741, 55242, 506, 2882, 18225, 32054, 75230, 12483, 7265, 36324, 13845, 107581, 70695, 5666, 52671, 54260, 96986, 1470, 75230, 34575, 29771 ]

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

[ 8903, 1211, 2200, 6235, 75578, 12483, 6235, 119718, 152848, 114955, 5, 159696, 1211, 95455, 192544, 43649, 23173, 47332, 4, 119055, 77188, 1285, 6235, 75578, 11556, 16932, 6, 61397, 54260, 56169, 2200, 30473, 119055, 23173, 23741, 95455, 21374, 50856, 6, 23173, 75230, 2702, 5, 14856, 46244, 80885, 16667, 43449, 54260, 47332, 1285, 16175, 75230, 18415, 80839, 40920, 219947, 6, 71804, 23405, 22639, 4113, 159696, 110317, 5, 95298, 8947, 42542, 7746, 67882, 4944, 12483, 22753, 170479, 6, 101328, 6428, 99766, 17160, 54260, 1982, 12483, 4838, 657, 141847, 123073, 9424, 54260, 2882, 2200, 7746, 6, 59919, 192539, 12483, 4, 163139, 8947, 119055, 29060, 564, 174798, 16011, 12483, 119055, 6093, 12483, 564, 54260, 6, 47351, 221895, 2442, 6235, 147713, 20616, 54260, 2882, 5, 5442, 30109, 48904, 15307, 54260, 96986, 3120, 4151, 67882, 51723, 84475, 3120, 4151, 141562, 40920, 4, 37729, 119055, 13845, 107581, 1285, 80839, 47332, 43649, 23173, 47332, 7243, 29771, 1982, 4, 95298, 119055, 13845, 107581, 6, 59919, 140354, 26612, 4944, 12483, 4838, 874, 22426, 15350, 5, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 30109, 171433, 40697, 30109, 48904, 15307, 54260, 96986, 199145, 1285, 32054, 75230, 37826, 3120, 40026, 506, 6093, 2819, 84475, 1470, 174763, 63593, 22426, 15350, 4852, 54260, 1211, 44141, 6093, 29659, 7369, 119718, 29766, 1982, 65482, 30109, 48904, 15307, 54260, 96986, 2819, 6, 73906, 57277, 70598, 36609, 2819, 30109, 48904, 15307, 54260, 96986, 69355, 4151, 6235, 75578, 11556, 16932, 6, 21106, 54260, 1211, 2819, 3069, 235210, 12483, 119718, 92605, 2702, 109226, 3120, 564, 75230, 4667, 29766, 2932, 23173, 49008, 4838, 75386, 4838, 10339, 39083, 8903, 3120, 120202, 6093, 26612, 10918, 239162, 1211, 2819, 874, 48904, 107581, 14856, 10069, 78683, 96302, 12483, 4, 159696, 1644, 107581, 18225, 204982, 1470, 54260, 1211, 3069, 1644, 17645, 1982, 30109, 48904, 15307, 54260, 2882, 2819, 2190, 5666, 120749, 93975, 1157, 8903, 3120, 35189, 41764, 71804, 8300, 35596, 26612, 2819, 15750, 61541, 4113, 4, 163139, 6, 23173, 33104, 16932, 7201, 21106, 12483, 3120, 7369, 8903, 7611, 4, 7746, 29659, 23173, 4484, 132025, 29659, 75230, 2702, 12483, 10676, 564, 75230, 4667, 2819, 41764, 21087, 4944, 40697, 4838, 113889, 101296, 7972, 12483, 4, 163139, 17824, 75230, 36419, 21292, 30721, 2819, 6319, 171127, 149010, 130170, 1982, 25207, 1982, 17310, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 2819, 25616, 171433, 40697, 43449, 54260, 59919, 25222, 23741, 17310, 4, 564, 54260, 32054, 75230, 12483, 199145, 4838, 68697, 54260, 96986, 2205, 10339, 26612, 216501, 12483, 119055, 10705, 43449, 54260, 119055, 77188, 10184, 13845, 132025, 8903, 159696, 16747, 29060, 2819, 292, 874, 48904, 4944, 2865, 39083, 43449, 54260, 47332, 1285, 63864, 170355, 107581, 2190, 91275, 37016, 84577, 5, 2808, 75230, 6293, 1470, 54260, 59461, 3120, 1285, 39293, 34482, 170355, 4944, 12483, 3120, 874, 22426, 15350, 4852, 54260, 1211, 163139, 1644, 6255, 205026, 26612, 203326, 13845, 14856, 46244, 123736, 1982, 105235, 1644, 12483, 5, 95455, 3056, 34654, 6319, 171127, 149010, 10705, 13497, 139365, 25207, 4944, 17310, 3120, 4151, 1751, 119718, 48904, 61397, 95494, 23741, 5, 10069, 6319, 171127, 149010, 130170, 1982, 25207, 4944, 17310, 3120, 7508, 6093, 1751, 119718, 48904, 61397, 95494, 23741, 2205, 2808, 54260, 23269, 3120, 1285, 46711, 75230, 6093, 18640, 80885 ]

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

[ 112216, 115398, 109226, 2205, 10676, 17190, 1982, 12483, 3120, 1470, 32054, 75230, 5, 13159, 21923, 1751, 75230, 1211, 564, 174798, 16011, 12483, 6235, 119718, 29766, 12483, 130170, 10676, 78104, 18415, 1644, 137, 10069, 116486, 1644, 29060, 23173, 40697, 67882, 24621, 2004, 1285, 119055, 183512, 6093, 109226, 3120, 4838, 67882, 51723, 7265, 9213, 46244, 1751, 119718, 48904, 61397, 12483, 6, 229340, 5, 4151, 22518, 54260, 75578, 3120, 1285, 39293, 9424, 54260, 1644, 12483, 3056, 6235, 8903, 1211, 10676, 6319, 171127, 149010, 1211, 7544, 22426, 1644, 4, 6, 238144, 1644, 7369, 6, 238144, 16803, 36324, 4, 1470, 75230, 1982, 32054, 75230, 12483, 119055, 39083, 96986, 45521, 17800, 15907, 10069, 1751, 119718, 48904, 61397, 95494, 23741, 4, 119055, 39083, 96986, 220224, 7243, 6235, 2648, 23173, 23741, 132025, 104378, 3069, 10676, 2865, 22426, 15350, 5, 657, 54260, 35189, 3056, 8947, 95298, 7243, 7369, 1644, 75230, 47332, 6235, 4852, 21660, 32792, 220224, 3069, 160751, 12483, 1285, 174538, 12483, 37729, 119055, 13845, 107581, 1285, 45521, 17800, 15907, 17310, 42542, 1470, 75230, 2702, 8903, 111684, 33716, 119055, 6093, 12483, 4, 36324, 75230, 36324, 7265, 10676, 564, 13159, 96986, 163139, 1644, 12483, 3056, 18225, 160751, 88917, 12483, 185182, 2442, 2200, 131445, 37729, 10676, 6235, 39293, 7611, 5, 1285, 32054, 75230, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 220224, 1211, 4838, 31807, 20305, 26, 18415, 2808, 88680, 9213, 46244, 1470, 54260, 8903, 119132, 6, 75290, 149364, 2200, 6, 80264, 64751, 20260, 2200, 32054, 54260, 199145, 22753, 119718, 15350, 5, 6428, 47351, 119055, 39083, 2882, 22753, 7746, 7243, 6235, 2648, 23173, 23741, 119055, 141943, 12483, 2205, 6235, 506, 54260, 2050, 56170, 87637, 108968, 3069, 1211, 36324, 13845, 107581, 14856, 110970, 12483, 199145, 21923, 2190, 5666, 55823, 506, 18640, 4, 199145, 3523, 23173, 12483, 22753, 123736, 1982, 29771, 35189, 67882, 4944, 12483, 22753, 6319, 48775, 20260, 5, 163139, 6235, 506, 54260, 2050, 1285, 39293, 1751, 119718, 48904, 61397, 95494, 23741, 96743, 106559, 139365, 25207, 4944, 109226, 170479, 12483, 7243, 220224, 1211, 4, 163139, 1470, 17310, 48350, 21660, 32792, 4, 163139, 7243, 137, 29060, 13456, 155, 7201, 23173, 81444, 20911, 75230, 16847, 2200, 17288, 1982, 75322, 12483, 4, 6, 238144, 16803, 95298, 81444, 4667, 148932, 36324, 4852, 54260, 119055, 6093, 12483, 6235, 101296, 40920, 2205, 1285, 16175, 75230, 4852, 114436, 6, 63188, 12483, 166464, 4, 2205, 177274, 1211, 6, 99766, 5, 119718, 29771, 13342, 4838, 12666, 29771, 95455, 10213, 506, 186955, 161829, 705, 119055, 29771, 13342, 95455, 6235, 39293, 7611, 705, 6, 238144, 2702, 12483, 62808, 81444, 4667, 36324, 14856, 46244, 163139, 1285, 45223, 23741, 81444, 20911, 75230, 16847, 10213, 36326, 160687, 8903, 1211, 7746, 7265, 69139, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 29771, 1982, 23822, 54260, 1982, 12483, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 2200, 36324, 10184, 109316, 119055, 6093, 12483, 4151, 69355, 7508, 54260, 4667, 4, 4944, 64260, 3131, 220224, 22518, 54260, 12483, 230764, 1285, 14856, 10069, 10918, 5666, 40697, 6, 59919, 235210, 1644, 109226, 36324, 220224, 21923, 94741, 8903, 8903, 1211, 2200, 36324, 220224, 364, 21106, 96986, 8947, 56170, 4838, 137, 59919, 1982, 25207, 4944, 12483, 155, 2819, 45521, 24152, 20616, 33716, 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 ]

[ 2702, 26, 68313, 56170, 47351, 4838, 6, 117397, 29766, 131044, 81444, 20911, 75230, 16847, 199145, 188485, 8947, 130170, 6319, 54260, 1211, 60732, 6, 80453, 54260, 4852, 4, 95298, 220224, 6, 59919, 71804, 8903, 1211, 36324, 8947, 170479, 220224, 1211, 7369, 1644, 75230, 47332, 8947, 3069, 6, 80264, 5, 29771, 75578, 7243, 47783, 42542, 18225, 151614, 1982, 12483, 177157, 22426, 40096, 710, 2200, 174538, 54260, 2648, 7265, 10069, 32054, 75230, 12483, 199145, 163139, 1644, 12483, 123736, 1982, 23822, 54260, 1982, 12483, 220224, 6093, 80839, 40920, 5, 119055, 12483, 18225, 55242, 506, 2882, 6, 47351, 23173, 1982, 54260, 16932, 22680, 75230, 119055, 13845, 107581, 6, 238144, 16803, 199145, 56170, 4838, 1751, 159696, 25207, 6, 59919, 62067, 119718, 99766, 2442, 7972, 4944, 4484, 54260, 2882, 4838, 192544, 3056, 4, 119055, 12483, 18225, 364, 77188, 9213, 46244, 6, 71804, 8903, 2200, 119055, 12483, 3373, 26, 68313, 3131, 75230, 1211, 3120, 40026, 506, 6093, 56170, 47351, 4838, 6235, 7511, 8903, 152848, 9424, 29771, 54574, 114955, 9747, 3069, 6, 59919, 24621, 46244, 12483, 1285, 6, 29766, 141564, 54260, 2882, 4, 95455, 895, 141943, 2200, 1285, 108599, 26612, 59919, 54260, 4, 292, 45521, 12415, 105235, 506, 2882, 18225, 657, 54260, 40920, 9213, 46244, 3069, 29659, 183512, 2200, 18225, 190859, 75230, 77188, 6, 104985, 199145, 51723, 42542, 9213, 46244, 42493, 45223, 55823, 1211, 4, 84475, 18225, 6, 75578, 75230, 77188, 199145, 22753, 37826, 7746, 7511, 2882, 45521, 17800, 15907, 22753, 170479, 42493, 6, 104378, 4151, 13342, 5, 107776, 95298, 3069, 1211, 1470, 54260, 4667, 4838, 22680, 75230, 199145, 221387, 3069, 4151, 2007, 5927, 186046, 165592, 710, 96986, 199145, 6, 186461, 12483, 230764, 10676, 78683, 24152, 3120, 26, 2050, 4838, 68697, 54260, 2882, 186797, 12483, 10339, 39083, 4484, 4, 4838, 32054, 75230, 119055, 13845, 107581, 163139, 1644, 7243, 151614, 1982, 12483, 4484, 54260, 1211, 192544, 43449, 75230, 4852, 6, 159696, 8903, 1211, 1470, 75230, 101608, 149010, 6, 68566, 152848, 152, 22753, 163139, 1644, 7243, 9213, 46244, 75290, 149364, 137, 9719, 146598, 67882, 4944, 12483, 155, 84475, 22753, 163139, 1644, 42493, 6, 59919, 1644, 9221, 12483, 9213, 506, 25207, 6235, 159696, 506, 5666, 149010, 45521, 48974, 110317, 172398, 4, 2200, 36324, 75230, 6, 238144, 16932, 4, 292, 6428, 47351, 3056, 162926, 6319, 54260, 59461, 7243, 8903, 5666, 54260, 98833, 132025, 13342, 2808, 159696, 46244, 12483, 4838, 46590, 905, 4838, 22753, 7201, 7611, 56170, 9213, 46244, 5, 3496, 64260, 3131, 1470, 75230, 4667, 215031, 22680, 75230, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 151614, 1982, 12483, 4838, 198754, 3069, 6, 59919, 71804, 183216, 1285, 99509, 4113, 32054, 54260, 506, 54260, 2882, 6, 101328, 84475, 7243, 3069, 6, 226112, 8903, 1211, 4838, 192544, 2205, 9213, 46244, 6, 75290, 149364, 5, 9213, 73375, 8903, 16667, 21923, 36324, 13845, 107581, 32054, 75230, 12483, 14856, 46244, 80885, 16667, 220273, 7243, 119055, 77188, 2200, 219947, 163139, 2442, 158548, 3069, 220224, 1211, 67882, 195164, 5, 292, 6, 104985, 199145, 42542, 18225, 6, 225975, 12483, 6, 159696, 8903, 1211, 1285, 2865, 54260, 2648, 44779, 101296, 195164, 199145, 163139, 1644, 12483, 42493, 1751, 119718, 48904, 61397, 12483, 43449, 75230, 4852, 4151, 7201, 23173, 6, 238144, 1644, 4852, 54260, 21923, 42493, 45521 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 54260, 2442, 40096, 125523, 76961, 21776, 7972, 46677, 39293, 2200, 6235, 4852, 21660, 149010, 160238, 51723, 2200, 6, 238144, 1644, 220224, 151614, 1982, 12483, 874, 151461, 56170, 4151, 6, 73381, 35596, 149010, 2442, 874, 54260, 3111, 23405, 705, 2865, 48904, 4944, 13159, 874, 39083, 4, 119055, 12483, 18225, 129165, 98833, 220224, 56170, 199145, 220224, 163139, 1644, 12483, 8947, 123736, 1982, 23822, 54260, 1982, 12483, 4, 292, 3056, 54745, 1211, 4151, 10339, 64260, 6093, 3120, 4151, 80839, 40920, 1470, 177282, 29771, 55823, 1211, 705, 84475, 506, 64260, 22753, 1470, 30682, 10339, 54260, 16747, 6235, 4484, 90848, 8903, 1211, 2200, 163139, 1644, 7243, 151614, 1982, 12483, 6319, 54260, 1211, 192544, 3120, 2808, 30682, 705, 84475, 3056, 22753, 3120, 1470, 30682, 45521, 95064, 119718, 186955, 176727, 6235, 119718, 29766, 12483, 705, 15, 4944, 64260, 3131, 168892, 34076, 75230, 1982, 55242, 1644, 96986, 2205, 36324, 13845, 107581, 45521, 95064, 119718, 186955, 18640, 17310, 2702, 8903, 16629, 40920, 12483, 247, 292, 159696, 1644, 107581, 119055, 39083, 96986, 6235, 159696, 1211, 6, 35596, 113687, 196332, 152848, 6, 68566, 152848, 10339, 119718, 26, 2050, 14856, 110970, 149010, 1211, 2865, 22426, 15350, 4852, 54260, 1211, 106000, 29771, 75578, 7243, 3120, 10676, 27702, 68697, 23173, 13456, 8903, 4852, 21660, 149010, 1211, 43649, 183512, 172060, 185226, 4, 292, 6, 35596, 59919, 2882, 95455, 874, 54260, 20315, 1644, 152, 137, 5666, 54260, 1211, 4, 6255, 151614, 1982, 220273, 7243, 3069, 1211, 1470, 30682, 4, 20033, 1644, 17645, 1982, 12483, 7746, 4, 95298, 3373, 26, 68313, 6, 47351, 68324, 506, 36324, 75230, 3069, 151614, 1982, 12483, 4838, 192544, 4, 18225, 6, 205416, 13159, 7243, 2819, 20033, 21923, 81444, 4667, 5332, 22426, 21292, 155787, 12483, 292, 84475, 46050, 80885, 1211, 711, 292, 37271, 3111, 4, 6, 105235, 21295, 18225, 1470, 33414, 22426, 506, 6, 20971, 292, 137, 2648, 120467, 51678, 20033, 7243, 4, 6, 238144, 1644, 18225, 159696, 2882, 7746, 132025, 29659, 75230, 2702, 12483, 155, 27, 16742, 4, 199145, 56170, 4838, 24012, 35189, 23822, 91595, 93975, 11211, 204403, 84316, 30473, 711, 3373, 26, 68313, 6, 47351, 68324, 506, 3069, 151614, 1982, 12483, 4838, 192544, 137, 7201, 23173, 4151, 172312, 2004, 29771, 75578, 3373, 26, 68313, 7243, 6319, 54260, 1211, 68324, 506, 8947, 123736, 1982, 13342, 23822, 54260, 1982, 12483, 711, 163139, 36324, 75230, 42542, 18225, 2808, 54260, 1211, 45521, 506, 44478, 56170, 1470, 54260, 6093, 4269, 64260, 123736, 1982, 119718, 40697, 1211, 4, 1470, 30682, 190859, 37016, 186797, 7265, 47351, 221895, 1211, 45521, 506, 44478, 705, 3056, 54745, 1211, 42493, 4151, 9424, 238144, 16932, 45521, 506, 44478, 4838, 10184, 13845, 23847, 13159, 123073, 22753, 16747, 4838, 46590, 905, 3120, 10676, 21776, 7972, 46677, 104149, 43649, 183512, 172060, 185226, 705, 292, 3523, 54260, 1211, 4, 46464, 40920, 205026, 7243, 123736, 1982, 13342, 5666, 23173, 12483, 2819, 9213, 46244, 163139, 21295, 8947, 6, 80264, 56170, 4151, 64769, 61397, 37271, 73381, 35596, 149010, 2442, 874, 54260, 3111, 23405, 155, 3120, 1470, 54260, 6093, 19302, 54260, 5666, 149010, 2442, 101251, 8903, 1982, 17310, 711, 9213, 506, 17800, 64260, 7243, 874, 151461, 56170, 1470, 54260, 6093, 3523, 64260, 2819, 9213, 46244, 37826, 874, 151461, 56170, 1470, 54260, 6093 ]

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

[ 3131, 12984, 2819, 9213, 46244, 9934, 35596, 10339, 54260, 2932, 2819, 9213, 46244, 9934, 35596, 42493, 119055, 77188, 34076, 7682, 32792, 3069, 220224, 1211, 92500, 3069, 6235, 99611, 12483, 95455, 11211, 17017, 40697, 45521, 48974, 110317, 12483, 3120, 4838, 74806, 1644, 91595, 149010, 55451, 101296, 70598, 17310, 4, 6, 238144, 1644, 9213, 46244, 163139, 21295, 1470, 54260, 6093, 16175, 40096, 10213, 506, 21106, 96986, 2200, 177274, 3131, 22426, 14303, 3120, 9213, 46244, 6, 89930, 3131, 16932, 12483, 711, 54745, 1211, 9213, 46244, 6, 225975, 2882, 81444, 4667, 20033, 36324, 4838, 16580, 16747, 163139, 21295, 9213, 46244, 151614, 1982, 12483, 4, 6, 104985, 1751, 109636, 16932, 4, 125523, 4151, 172312, 711, 292, 125523, 35189, 172312, 711, 95298, 1470, 54260, 6093, 172312, 3056, 81444, 4667, 1751, 75230, 1211, 6235, 159696, 1211, 4, 292, 22753, 37826, 29659, 40096, 8903, 17268, 49008, 6428, 99766, 119055, 10705, 9213, 46244, 37826, 7746, 6, 59919, 54260, 110317, 2882, 4, 2200, 1470, 75230, 1982, 3373, 26, 68313, 137127, 6150, 9213, 46244, 564, 54260, 20315, 37826, 7746, 657, 17645, 1982, 4, 42542, 42493, 220224, 1211, 6319, 54260, 1211, 364, 54260, 186461, 123073, 21631, 15703, 163139, 1470, 54260, 123073, 5, 148932, 199145, 119055, 29060, 7746, 6, 23173, 54260, 5666, 123103, 12483, 2205, 1285, 10213, 32670, 109226, 9424, 119718, 40697, 1211, 1470, 54260, 4667, 4, 3373, 54260, 119055, 13845, 107581, 1470, 75230, 205416, 131044, 4, 292, 34654, 131397, 4, 4151, 21733, 75230, 82576, 4, 1285, 21776, 2932, 9221, 17310, 4, 4151, 71107, 4, 1470, 54260, 6093, 10339, 26612, 123559, 4113, 4, 1470, 54260, 6093, 16175, 174121, 101296, 24621, 4, 292, 119055, 29060, 45521, 15529, 50856, 54260, 110317, 12483, 2200, 31807, 54260, 196332, 1211, 1285, 364, 54260, 186461, 4484, 54260, 2882, 3120, 2808, 54260, 6093, 172312, 4, 119055, 13845, 107581, 3056, 45521, 68959, 93975, 21295, 6235, 119718, 29766, 12483, 7265, 1470, 54260, 6093, 1470, 75230, 7201, 120749, 161459, 657, 17645, 30750, 27, 95298, 55242, 46244, 123736, 23741, 364, 77188, 18225, 64699, 1285, 39293, 1644, 30750, 159696, 2442, 16932, 2200, 6, 35596, 113687, 158548, 109226, 564, 54260, 6, 225975, 43178, 84577, 4113, 137, 48775, 103023, 21106, 4113, 155, 117902, 29766, 44779, 4, 564, 54260, 36324, 13845, 107581, 199145, 151614, 1982, 12483, 6235, 44478, 35596, 3069, 7508, 6093, 12483, 7265, 17824, 75230, 36419, 4, 506, 75230, 107581, 4, 7508, 75230, 18415, 4, 21776, 119718, 39083, 905, 10918, 239162, 25207, 10339, 48775, 104149, 4, 95298, 199145, 6428, 135118, 12483, 6150, 2205, 4852, 54260, 6093, 17190, 1982, 12483, 6428, 23173, 55823, 1211, 220224, 6319, 54260, 1211, 69529, 6, 192539, 17310, 42493, 67882, 4944, 12483, 4, 564, 54260, 36324, 13845, 107581, 199145, 6, 147713, 12483, 123736, 1982, 76961, 2702, 230764, 4151, 137, 13342, 17494, 217814, 161459, 6235, 39293, 7972, 145702, 2004, 36053, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 2648, 120467, 364, 54260, 16803, 119055, 12483, 220224, 119055, 109316, 1211, 1751, 75230, 1211, 3120, 6, 71804, 23405, 42493, 5332, 215052, 34533, 9221, 12483, 4, 292, 564, 54260, 165592, 13845, 107581, 199145, 6, 59919, 105235, 506, 12483, 7243, 36324, 364, 54260, 13497, 6235, 506, 2882, 6, 68558, 1285, 21776, 119718, 39083, 905, 10918, 68558 ]

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

[ 2200, 36324, 220224, 6428, 23173, 55823, 1211, 22753, 67882, 4944, 12483, 37729, 564, 54260, 3131, 22426, 710, 109316, 3120, 4852, 54260, 6093, 17190, 1982, 12483, 5, 220224, 162726, 71577, 1644, 12483, 1470, 75230, 4667, 3120, 4838, 137, 25207, 150349, 87442, 56170, 1285, 895, 16932, 12483, 16, 2702, 6235, 55823, 54574, 12483, 2004, 3120, 4151, 137, 8903, 39293, 1644, 95494, 23741, 149010, 2442, 16175, 9221, 48904, 54260, 2909, 137, 62808, 4852, 171428, 32054, 54260, 8903, 4852, 239162, 1211, 4, 6, 59919, 30473, 104238, 12483, 220224, 194706, 4, 20033, 6428, 23173, 55823, 1211, 7243, 1285, 5666, 23173, 40697, 6235, 4852, 21660, 149010, 2200, 21776, 7972, 46677, 39293, 160238, 51723, 4, 95298, 1285, 6235, 39293, 139962, 145702, 711, 3131, 109636, 16932, 4, 125523, 4151, 364, 54260, 2442, 40096, 4, 119055, 109316, 1211, 20033, 151614, 1982, 12483, 114955, 2819, 95298, 14004, 56169, 4, 51678, 20033, 7243, 2909, 292, 9213, 46244, 6, 59919, 105235, 506, 2882, 2819, 7243, 6, 238144, 1644, 95455, 2865, 54260, 20315, 1644, 6, 94741, 63020, 6235, 506, 12483, 4838, 68697, 54260, 96986, 51678, 220224, 7243, 151614, 1982, 12483, 4838, 192544, 4, 42493, 238144, 1644, 220224, 151614, 1982, 12483, 7746, 564, 54260, 20315, 3069, 25616, 176727, 4, 292, 3523, 54260, 1211, 4, 43449, 75230, 4852, 4151, 7201, 23173, 6, 238144, 1644, 4852, 54260, 27855, 51723, 7746, 2200, 6, 238144, 1644, 220224, 151614, 1982, 12483, 874, 151461, 5, 2200, 95455, 22444, 23741, 7746, 6, 68558, 37271, 48775, 103023, 21106, 155, 711, 2200, 95455, 37826, 42493, 10676, 187667, 3069, 6, 80264, 1470, 54260, 1211, 145813, 47351, 137, 75290, 8903, 1211, 4151, 6235, 39293, 139962, 145702, 2004, 292, 23165, 4151, 1470, 54260, 109985, 6093, 199145, 119055, 29060, 220224, 1470, 75230, 2702, 104378, 3069, 6, 80264, 2205, 220224, 6093, 6, 119859, 69106, 17190, 1982, 12483, 3120, 137, 25207, 119718, 39083, 92866, 24001, 59461, 12483, 155, 711, 8903, 506, 2882, 73784, 16175, 54260, 61541, 7265, 1470, 54260, 6093, 6, 48775, 103023, 21106, 78653, 711, 9213, 46244, 9934, 35596, 6235, 5666, 75230, 165592, 13845, 107581, 11211, 204403, 84316, 96986, 163139, 1285, 21776, 7972, 46677, 39293, 11211, 204403, 84316, 96986, 711, 153, 5666, 54260, 1211, 4, 230764, 165592, 13845, 107581, 14856, 110970, 12483, 42542, 18225, 7243, 151614, 1982, 12483, 6319, 54260, 1211, 6, 31177, 83811, 711, 10069, 174538, 12483, 199145, 119055, 6093, 12483, 6235, 13458, 75230, 40920, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 6319, 171127, 32792, 13342, 130170, 1982, 25207, 4944, 12483, 4, 51678, 1470, 54260, 23405, 29060, 54260, 21295, 119055, 6093, 12483, 2205, 152, 14856, 10069, 10918, 5666, 40697, 92500, 6, 123131, 103182, 40697, 5, 1285, 14856, 10069, 78683, 96302, 12483, 199145, 18225, 204982, 15, 36419, 78683, 28726, 4, 6, 21106, 29771, 13159, 4, 2702, 26612, 12890, 76776, 2200, 36324, 75230, 6, 238144, 16932, 16, 21923, 76961, 1751, 16870, 32792, 4, 3373, 54260, 2205, 119055, 13845, 104238, 7201, 29766, 2050, 18225, 170479, 220224, 7243, 6, 101470, 4, 54745, 1211, 220224, 21923, 33960, 23741, 12483, 56170, 10676, 119859, 57619, 12483, 6, 75290, 149364, 2200, 1470, 54260, 23269, 3120, 220224, 123073, 33960, 160687, 8903, 163139, 24152, 109226, 68313, 95455, 874, 22426, 15350, 4852, 54260, 1211, 5, 1470, 3373, 4667, 32054, 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 ]

[ 12483, 21923, 1751, 75230, 1211, 3120, 220224, 74806, 205416, 1982, 12483, 4, 26612, 3373, 4667, 21923, 6319, 48775, 20260, 6235, 119718, 29766, 12483, 5, 1470, 75230, 1982, 220224, 67882, 4944, 12483, 7243, 1285, 32054, 75230, 4484, 48775, 20260, 4, 51678, 220224, 1470, 75230, 4667, 7243, 151614, 1982, 12483, 1285, 6235, 119718, 24295, 105235, 163139, 24152, 17310, 230764, 2442, 6093, 6235, 75578, 11556, 16932, 2200, 230764, 10676, 192544, 4, 6, 238144, 1644, 6428, 47351, 21923, 220224, 3069, 3131, 119718, 26612, 4667, 5, 64699, 76961, 41764, 15350, 12483, 199145, 18225, 6319, 75230, 23741, 2205, 1285, 4838, 204403, 18415, 165354, 56170, 23847, 75230, 36419, 45495, 51723, 6235, 50853, 4, 163139, 1751, 12483, 220224, 123073, 6, 101470, 170479, 12483, 7243, 65902, 183216, 92500, 3120, 119055, 13845, 107581, 657, 192539, 220224, 170479, 12483, 7243, 6, 104378, 4, 21923, 4838, 1982, 2702, 39083, 36609, 10705, 5666, 7511, 8300, 32792, 2819, 220224, 1751, 23173, 12483, 7243, 2200, 45223, 55823, 1211, 7243, 5, 123736, 23741, 2865, 39083, 4, 119055, 12483, 14004, 46244, 6, 59919, 71804, 23405, 2882, 215031, 7265, 13845, 564, 54260, 2050, 81444, 20911, 29766, 4, 204982, 7369, 1470, 54260, 4667, 1470, 75230, 4667, 6, 75322, 22426, 15350, 4852, 54260, 1211, 97024, 24621, 10069, 10918, 1211, 199145, 37826, 6319, 54260, 1211, 69529, 10339, 39083, 23269, 4, 84475, 64699, 6319, 54260, 1211, 10339, 39083, 8903, 4, 7243, 4484, 54260, 1211, 221067, 2200, 7243, 6319, 54260, 1211, 620, 91595, 4113, 5, 7369, 163139, 1644, 3120, 1470, 54260, 4667, 41764, 29631, 119055, 6093, 12483, 5, 104985, 95455, 6, 75578, 91595, 176727, 1470, 30682, 7243, 564, 54260, 1470, 54260, 4667, 3069, 6, 101470, 36324, 75230, 10184, 13845, 6235, 50853, 7201, 23173, 10676, 199145, 7369, 37826, 1470, 54260, 4667, 123736, 1982, 8903, 76776, 33716, 4, 3496, 64260, 3131, 199145, 95455, 3056, 30750, 101608, 163139, 119055, 12483, 7369, 6, 59919, 25391, 54260, 47332, 1470, 54260, 4667, 6, 57277, 39340, 4838, 163139, 24152, 32792, 88771, 7265, 13845, 4, 37729, 119055, 13845, 4944, 12483, 9213, 46244, 6319, 35596, 55242, 46244, 6319, 48775, 20260, 119055, 6093, 12483, 5, 10184, 109316, 81444, 20911, 75230, 16847, 160751, 12483, 1285, 174538, 12483, 4838, 46590, 905, 32054, 75230, 12483, 199145, 21923, 220273, 7243, 1751, 119718, 48904, 61397, 5, 1285, 32054, 75230, 67882, 40920, 6, 21106, 54260, 1211, 1285, 1285, 26612, 2932, 29771, 39293, 6150, 22753, 3056, 1751, 119718, 48904, 61397, 4, 3496, 64260, 3131, 30473, 2205, 7243, 4, 2200, 6235, 506, 2882, 7746, 6, 212484, 12483, 123736, 1982, 23822, 54260, 1982, 12483, 2819, 4151, 81444, 20911, 29766, 10213, 236376, 22753, 1470, 75230, 4667, 4838, 75386, 1751, 119718, 48904, 61397, 4838, 46590, 905, 119055, 12483, 7369, 6235, 7916, 13497, 22753, 56170, 7243, 3131, 119718, 48904, 61397, 2200, 7369, 46050, 98833, 220224, 1211, 657, 75230, 1211, 56170, 4838, 160238, 190135, 4113, 137, 29771, 1982, 23822, 54260, 1982, 17310, 2909, 9213, 46244, 6, 59919, 105235, 506, 2882, 36324, 95455, 188485, 43449, 75230, 4852, 1285, 29434, 5, 9934, 75230, 2932, 2865, 183718, 4, 29771, 75578, 7243, 1285, 5332, 46244, 149010, 81444, 20911, 75230, 16847, 5, 10069, 364, 54260, 36419, 6, 64991, 30750, 35189, 4, 1285, 364, 54260, 36419, 22753, 7611, 30750, 35189, 4, 1285, 364, 54260 ]

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

[ 36419, 5950, 8903, 2865, 54260, 23269, 10213, 35189, 4, 1285, 364, 54260, 36419, 1470, 54260, 110970, 80453, 31623, 109226, 2205, 4151, 1751, 54260, 20315, 4, 1285, 43649, 23173, 39340, 123736, 1982, 111684, 155045, 21338, 12483, 4, 95455, 10184, 109316, 6235, 506, 12483, 4, 6, 57277, 57619, 12483, 4, 145813, 12415, 183216, 4, 199145, 34654, 22680, 75230, 12483, 212632, 7746, 132025, 13342, 2808, 159696, 16747, 12483, 1470, 54260, 23269, 3120, 4151, 221895, 2442, 4, 51678, 85465, 200117, 12483, 10676, 6235, 75230, 110970, 96986, 21776, 124740, 2882, 40096, 4, 95298, 55242, 46244, 55242, 1644, 96986, 5, 14856, 46244, 80885, 16667, 3056, 1285, 4269, 48904, 26394, 41764, 71804, 8903, 2190, 112304, 71616, 2819, 18225, 119055, 77188, 43449, 75230, 4852, 4151, 69355, 29771, 1982, 8903, 3131, 119718, 26612, 40920, 5, 2648, 120467, 1470, 54260, 109985, 4113, 6, 120749, 93975, 7265, 13845, 4, 119055, 13845, 4944, 13159, 42542, 4, 2205, 1285, 185182, 2442, 69355, 4838, 7508, 54260, 119132, 4, 6235, 119718, 710, 36419, 5927, 26612, 23741, 12483, 4, 163139, 36419, 191538, 23741, 149010, 1211, 81444, 20911, 29766, 4, 657, 54260, 40920, 92500, 7265, 162926, 506, 54260, 2882, 130170, 1982, 25207, 4944, 12483, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 2200, 130170, 2932, 171127, 161459, 46654, 4113, 8903, 4, 6, 104985, 55242, 46244, 55242, 1644, 96986, 151614, 1982, 12483, 620, 91595, 4113, 10339, 39083, 8903, 1211, 56170, 35189, 32054, 75230, 26, 2702, 6235, 4852, 88917, 4, 3056, 1285, 6, 123131, 103182, 40697, 130170, 1982, 25207, 4944, 17310, 5, 8947, 6, 59919, 105235, 506, 2882, 7746, 36324, 22753, 3056, 1470, 17310, 48350, 21660, 32792, 4, 3496, 64260, 3131, 2205, 10339, 109316, 119055, 10705, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 65146, 130170, 1982, 90848, 4944, 12483, 119055, 6093, 12483, 3069, 1644, 17645, 1982, 10676, 6235, 4852, 88917, 3120, 35189, 32054, 75230, 4, 3056, 22753, 6235, 4852, 21660, 32792, 5, 15, 1982, 54260, 1285, 168155, 6235, 28726, 8903, 5927, 54260, 2882, 163139, 1644, 6255, 6, 135542, 48350, 89184, 49008, 199145, 22518, 54260, 1982, 12483, 3069, 20033, 6, 159696, 8903, 1211, 874, 22426, 15350, 9719, 21338, 12483, 1470, 54260, 1211, 874, 39083, 56170, 21106, 4113, 874, 39083, 1470, 75230, 7201, 46685, 4484, 170355, 2050, 67882, 4944, 12483, 4, 36324, 220224, 6093, 6, 117404, 3056, 2190, 112304, 34533, 2819, 6255, 2932, 16011, 6319, 54260, 1211, 874, 39083, 7243, 36324, 13845, 107581, 174538, 12483, 4, 7243, 6319, 54260, 1211, 14856, 10069, 10918, 5666, 40697, 4, 7243, 4484, 54260, 1211, 120202, 6093, 40096, 710, 159696, 5, 16, 10069, 6319, 171127, 149010, 130170, 1982, 25207, 4944, 17310, 3120, 4151, 1751, 119718, 48904, 88438, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 61397, 95494, 23741, 6, 16562, 6235, 101296, 40920, 119055, 6093, 12483, 2205, 10339, 39083, 8903, 152848, 10339, 109316, 152, 564, 54260, 165592, 13845, 107581, 30109, 48904, 15307, 54260, 96986, 3120, 7508, 6093, 32054, 75230, 564, 54260, 119055, 13845, 107581, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 105235, 21295, 160238, 4838, 6235, 55823, 46244, 149010, 4, 4838, 17190, 1982, 172398, 8903, 55823, 46244, 149010, 224220, 22426, 7972, 78683, 10918, 68558, 92500, 119055, 12483, 18225, 37826, 1285, 1470, 75230, 128722, 710 ]

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

[ 47332, 4151, 32054, 75230, 26, 2702, 17190, 1982, 12483, 3069, 21776, 96986, 103854, 34654, 39293, 130170, 1982, 25207, 4944, 17310, 5, 119055, 12483, 18225, 130170, 13458, 91595, 1285, 1751, 119718, 48904, 61397, 95494, 23741, 2205, 1285, 200795, 1372, 119055, 29771, 4944, 12483, 42542, 95455, 192544, 42493, 17190, 1982, 12483, 5, 15, 89112, 12483, 95298, 220224, 1211, 18225, 170479, 1285, 6319, 171127, 149010, 6235, 28317, 2882, 6428, 23173, 55823, 1211, 49920, 7201, 29766, 2442, 25046, 12483, 3523, 68558, 34654, 200795, 1372, 119055, 29771, 4944, 12483, 2819, 95455, 3056, 119055, 12483, 18225, 6, 238144, 16803, 54595, 42493, 1285, 1751, 119718, 48904, 61397, 137218, 23741, 4, 133190, 1285, 6, 35596, 12890, 16747, 17310, 2205, 4151, 133190, 101296, 44478, 9424, 54260, 2882, 4, 73784, 77208, 3120, 6, 16932, 56052, 4, 42542, 220224, 1211, 6235, 55823, 46244, 32792, 56170, 4151, 32054, 75230, 29771, 35189, 56170, 10676, 192544, 2200, 119055, 12483, 18225, 163139, 1644, 151614, 1982, 12483, 4838, 192544, 199145, 170479, 4852, 54260, 1211, 107020, 29659, 183512, 3069, 17190, 1982, 12483, 2819, 105687, 34654, 39293, 10339, 48775, 8903, 221387, 42493, 4838, 506, 6093, 5, 16, 165592, 13845, 107581, 101251, 105235, 16747, 12483, 4, 36324, 7508, 120467, 17190, 1982, 12483, 3120, 4151, 32054, 75230, 170479, 7038, 104149, 61397, 29060, 29060, 119055, 6093, 12483, 37729, 1285, 130170, 1982, 25207, 4944, 17310, 3120, 4151, 24377, 48904, 61397, 95494, 23741, 4, 4852, 171428, 55242, 46244, 55242, 1644, 96986, 4, 6, 238144, 1644, 14856, 46244, 80885, 16667, 4, 3496, 64260, 3131, 7243, 47783, 4, 42542, 10069, 32054, 75230, 1470, 75230, 34575, 29771, 8903, 1211, 95455, 192544, 123736, 42023, 4838, 6235, 7201, 26612, 46244, 4, 163139, 6319, 48775, 20260, 22753, 4852, 39083, 7243, 151614, 1982, 12483, 6235, 159696, 1211, 3120, 40026, 506, 6093, 5, 23050, 30750, 91275, 54260, 10213, 46685, 20911, 4, 6, 34882, 171127, 149010, 2442, 874, 22426, 15350, 37729, 119055, 13845, 4944, 12483, 18225, 42542, 21776, 96986, 1285, 32054, 75230, 4, 3056, 7369, 1644, 75230, 47332, 3120, 6235, 39293, 7611, 2819, 95298, 3523, 40096, 9221, 32792, 6, 94741, 63020, 18225, 220224, 160238, 75578, 71512, 2882, 13342, 10213, 238144, 104149, 36324, 18225, 37826, 4838, 83182, 3131, 42493, 241997, 364, 183512, 1644, 12483, 5, 10069, 174538, 12483, 199145, 119055, 6093, 12483, 6235, 13458, 75230, 40920, 21923, 152, 6, 23173, 54260, 5666, 147713, 12483, 2205, 54745, 905, 8903, 75578, 11556, 16932, 4838, 364, 21106, 1982, 238144, 107581, 4, 6, 78683, 36609, 183202, 65482, 4, 657, 48904, 8903, 21776, 46244, 84475, 6, 47351, 2808, 171127, 15529, 96302, 199145, 119055, 77188, 132025, 61397, 25046, 12483, 137, 1982, 22151, 16629, 155, 2819, 18225, 6, 212484, 2882, 22753, 6, 186461, 12483, 234917, 165284, 16747, 12483, 2200, 6428, 47351, 235466, 18225, 22753, 6, 23173, 75230, 2702, 2819, 4151, 6, 225975, 43178, 84577, 6093, 137, 2808, 54260, 506, 75230, 2882, 29659, 18167, 2004, 95455, 6, 23173, 54260, 5666, 147713, 12483, 4838, 165284, 2865, 22426, 93975, 58573, 21106, 65482, 3373, 171433, 20315, 2205, 4151, 6235, 75578, 11556, 16932, 2200, 22753, 27702, 50853, 6, 23173, 75230, 2702, 101470, 2819, 119718, 23173, 4113, 24621, 119055, 59929, 6093, 1470, 54260, 110970, 80453, 31623, 109226, 2205, 4151, 6235, 75578, 11556, 16932, 132, 219947, 2205, 4151, 1751 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20315, 247, 564, 54260, 119055, 13845, 104238, 6, 195054, 65482, 5927, 54260, 2882, 18225, 94741, 63020, 22753, 3069, 6093, 29659, 6235, 110317, 141943, 6, 73381, 171428, 4, 6, 59919, 105235, 506, 2882, 7746, 2819, 95455, 23173, 54260, 5666, 147713, 12483, 3120, 4838, 16175, 75322, 204403, 1211, 3120, 6, 119859, 39293, 2205, 364, 21106, 4852, 3120, 4151, 6235, 75578, 11556, 16932, 2819, 1285, 6, 73381, 43178, 17310, 2200, 1470, 75230, 4944, 58679, 8300, 17310, 3120, 4151, 6235, 75578, 11556, 16932, 5, 21106, 4113, 1285, 39293, 174538, 12483, 7038, 104149, 132025, 8903, 159696, 16747, 29060, 119055, 6093, 12483, 43449, 75230, 4852, 3120, 6, 170355, 4944, 59919, 155, 29659, 186797, 4113, 2200, 6235, 14004, 1982, 18415, 14856, 110970, 12483, 4, 3120, 81444, 20911, 75230, 16847, 4, 6, 226112, 131762, 46598, 2865, 22426, 15350, 4852, 54260, 1211, 116597, 119718, 120467, 8947, 6235, 7916, 49008, 7746, 32054, 75230, 12483, 2200, 874, 114436, 199145, 188485, 8947, 123736, 42023, 6319, 54260, 1211, 7201, 29766, 44693, 2648, 17310, 5, 123736, 23741, 21923, 1285, 21776, 124740, 57277, 96986, 221067, 4, 95298, 123736, 23741, 21923, 1285, 10339, 39083, 8903, 1211, 22518, 37016, 149010, 56170, 4151, 32054, 75230, 5, 1285, 163139, 24152, 17310, 3120, 1285, 39293, 9719, 21338, 12483, 3056, 84475, 95455, 123736, 106504, 28726, 1982, 12483, 3120, 1285, 1470, 54260, 506, 54260, 2882, 44779, 3120, 4151, 8903, 75578, 11556, 16932, 119718, 183512, 84475, 4838, 6235, 119718, 710, 101608, 7508, 54260, 7611, 3120, 4151, 6235, 75578, 11556, 16932, 5, 92500, 1285, 10339, 39083, 8903, 3056, 95455, 49920, 7201, 29766, 2442, 25046, 12483, 3120, 119055, 20616, 12483, 2200, 6, 23173, 75230, 2702, 29659, 75230, 2702, 12483, 69355, 7508, 6093, 80839, 40920, 4, 119055, 13845, 4944, 13159, 42542, 6, 101470, 3120, 234917, 165284, 16747, 12483, 78278, 29060, 149010, 193012, 5, 10069, 6319, 171127, 149010, 3523, 61397, 95494, 23741, 96743, 106559, 139365, 25207, 4944, 17310, 42542, 220224, 1211, 6235, 55823, 46244, 32792, 152, 37729, 4838, 43649, 23173, 39340, 564, 137119, 17310, 4, 4838, 2819, 63593, 29766, 17800, 26612, 25222, 4, 199145, 3056, 55242, 46244, 55242, 1644, 96986, 15, 26612, 6235, 119718, 710, 36419, 564, 137119, 17310, 65146, 81444, 4667, 95766, 177274, 1211, 10339, 21106, 220224, 1211, 16, 2819, 37729, 1285, 2190, 50856, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 3120, 10676, 199145, 101296, 40920, 1285, 19302, 54260, 23269, 120202, 6093, 26612, 10918, 68558, 4, 3373, 54260, 37729, 220224, 23269, 2190, 50856, 54260, 23269, 364, 141943, 4, 2702, 54260, 37729, 220224, 23269, 2190, 50856, 54260, 23269, 4, 7243, 1470, 75230, 2702, 8903, 88660, 4944, 18415, 224252, 15529, 96302, 12483, 5, 165592, 26612, 2190, 50856, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 42542, 1285, 6235, 75578, 11556, 16932, 84475, 1285, 4838, 144532, 93975, 16175, 54260, 1644, 12483, 6, 35596, 10918, 16747, 12483, 2200, 874, 48904, 4944, 2865, 21106, 42542, 7746, 7508, 6093, 63259, 7611, 45521, 93509, 80453, 54260, 96986, 4, 103854, 1285, 119055, 10705, 16747, 12483, 2205, 4151, 6235, 75578, 11556, 16932, 4, 2205, 6, 119859, 57619, 12483, 6, 75290, 149364, 2200, 506, 6093, 7201, 29766, 2442, 25046, 12483, 10184, 75578, 4, 73095, 22426, 114650, 15, 21106, 8903, 2865, 54260, 23269, 22639, 55823, 4484, 10918, 68558, 69355 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2050, 564, 137119, 16, 2200, 16175, 75230, 2882, 5, 6, 104985, 115825, 144581, 104238, 238144, 39293, 3056, 95455, 55242, 46244, 55242, 1644, 96986, 5, 7916, 109316, 29434, 5, 9934, 75230, 5666, 2865, 183718, 105884, 12483, 1285, 32054, 75230, 12483, 1470, 54260, 1211, 36324, 125523, 10676, 4484, 171127, 149010, 1211, 874, 22426, 15350, 7038, 104149, 220224, 2205, 177274, 1211, 10339, 21106, 46050, 8903, 1211, 6, 47351, 2808, 75230, 131002, 26612, 8300, 17310, 21374, 25207, 57277, 163177, 4, 65902, 214324, 3142, 95455, 3056, 7243, 137127, 6, 104985, 55242, 1644, 96986, 4, 2205, 10339, 21106, 3120, 6, 47351, 22639, 55823, 4484, 10918, 68558, 3120, 4151, 6235, 75578, 11556, 16932, 84475, 3120, 4838, 43649, 23173, 75290, 564, 137119, 17310, 4, 3056, 6, 47351, 1470, 75230, 131002, 26612, 8300, 17310, 4838, 2050, 22426, 71804, 7611, 5, 2702, 54260, 4151, 874, 22426, 15350, 3056, 6, 130991, 37729, 6319, 171127, 149010, 174538, 12483, 4, 3373, 54260, 103854, 30109, 48904, 15307, 54260, 2882, 4, 1285, 10213, 506, 183512, 1644, 17310, 3056, 1285, 39293, 1644, 30750, 152, 364, 75230, 22426, 2882, 39293, 4944, 32792, 2442, 119718, 4, 6, 159696, 110317, 8947, 12483, 2200, 7508, 54260, 5666, 7972, 4944, 4484, 54260, 5666, 5, 159696, 1211, 4838, 224220, 22426, 105330, 215726, 6, 35596, 119718, 125897, 21295, 7746, 4, 119055, 12483, 18225, 46050, 98833, 10184, 75578, 29771, 35189, 4838, 17824, 75230, 36419, 564, 137119, 17310, 4, 6, 94741, 63020, 18225, 7746, 119055, 141943, 12483, 3069, 1211, 4838, 81444, 20911, 29766, 5, 113889, 133324, 46598, 163139, 76961, 177157, 22426, 97634, 51723, 3120, 874, 22426, 15350, 21923, 6, 59919, 240863, 12483, 4, 68313, 72577, 3069, 151614, 1982, 12483, 4838, 9424, 54260, 2882, 3120, 6, 75290, 149364, 149010, 2442, 22444, 506, 4, 4838, 2050, 564, 13159, 96986, 29060, 149010, 119055, 29771, 4944, 12483, 5, 129150, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 69355, 14856, 46244, 123073, 874, 22426, 15350, 26, 12483, 1470, 54260, 16667, 125523, 10676, 221895, 1211, 42542, 4838, 32054, 75230, 17160, 54260, 1982, 12483, 1751, 119718, 26612, 4667, 84475, 6319, 48775, 20260, 4838, 657, 48904, 8903, 9424, 54260, 2882, 5, 21106, 8903, 2865, 54260, 23269, 6, 148346, 4113, 46685, 4484, 109226, 6, 159696, 8903, 1211, 74806, 1644, 91595, 49268, 25616, 48904, 15307, 54260, 96986, 2451, 1285, 9585, 68959, 5666, 75230, 39293, 21776, 7201, 29766, 101296, 205416, 12483, 2200, 874, 29766, 21106, 34533, 12483, 22444, 55823, 1211, 6, 68558, 10069, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 4, 292, 220224, 2200, 6319, 54260, 1211, 221895, 4, 292, 7265, 10676, 113889, 51723, 137, 2702, 29771, 10918, 21106, 4113, 30109, 48904, 15307, 54260, 96986, 2004, 292, 34076, 54260, 4667, 163139, 220224, 21923, 1285, 1470, 54260, 109985, 4113, 3373, 29771, 10918, 21106, 4113, 30109, 48904, 15307, 54260, 96986, 5, 78278, 3069, 4838, 6235, 119718, 21292, 12483, 17824, 93704, 42542, 18225, 2932, 29766, 6, 225975, 12483, 36324, 1751, 119718, 710, 16747, 46464, 40920, 3056, 33960, 104238, 4838, 3373, 29771, 10918, 21106, 4113, 30109, 48904, 15307, 54260, 2882, 4, 2205, 20315, 2050, 6, 109995, 36324, 22753, 107776, 3120, 4838, 3373, 29771, 10918, 21106, 6093, 1470, 17310, 6093, 91595, 18640, 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 ]

[ 6235, 8903, 1211, 4151, 119718, 710, 40920, 18640, 82576, 19302, 59929, 4113, 4, 6235, 8903, 1211, 4151, 4838, 68697, 54260, 16932, 21733, 59929, 4113, 5, 1285, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 34076, 54260, 4944, 12483, 6, 225975, 23173, 1470, 75230, 2702, 1285, 6235, 39293, 1644, 95494, 23741, 149010, 19302, 59929, 12483, 4, 159696, 1644, 107581, 21923, 76961, 14856, 46244, 84475, 119055, 76632, 61397, 34076, 54260, 107581, 7544, 15662, 56688, 56170, 1285, 39293, 25616, 48904, 15307, 54260, 96986, 5, 2205, 4151, 10213, 32670, 17310, 5332, 215052, 34533, 54196, 4838, 46711, 75230, 6093, 93975, 6, 59919, 73375, 35189, 17310, 3120, 76961, 19302, 59929, 12483, 5, 3149, 5047, 151614, 1982, 12483, 42493, 6319, 54260, 1211, 6235, 15350, 91595, 131002, 48904, 15307, 54260, 96986, 5, 564, 54260, 137, 119718, 15350, 20315, 155, 14856, 110970, 12483, 4, 119055, 13845, 107581, 21923, 125523, 42493, 137, 10918, 119718, 15350, 15533, 54196, 155, 6235, 119718, 29766, 12483, 3120, 2808, 54260, 90848, 109636, 2808, 40697, 6319, 39083, 171433, 34533, 12483, 4, 21923, 1285, 119055, 114436, 54260, 4113, 657, 54260, 20315, 1211, 1470, 75230, 4667, 2190, 91275, 37016, 84577, 5, 2702, 26, 68313, 119055, 23173, 3131, 54260, 5666, 32792, 6, 47351, 3120, 1285, 10213, 506, 186955, 65482, 116486, 73215, 34079, 185758, 18415, 4, 69355, 1285, 364, 21106, 30750, 116486, 73215, 34079, 185758, 18415, 4, 199145, 17190, 1982, 12483, 42493, 2205, 6, 119859, 57619, 12483, 3120, 59919, 4484, 75230, 55823, 1211, 220224, 6093, 6, 75290, 149364, 4, 6235, 506, 2882, 7746, 6319, 54260, 1211, 1470, 54260, 109985, 4113, 42493, 1470, 75230, 2702, 3120, 26612, 73095, 13805, 25603, 44478, 30109, 48904, 15307, 54260, 2882, 5, 3120, 1285, 6, 73381, 35596, 149010, 116486, 73215, 34079, 185758, 18415, 68313, 1751, 75230, 1211, 123736, 1982, 238197, 2819, 220224, 21923, 14856, 46244, 123073, 874, 39083, 6319, 48775, 20260, 2205, 220224, 6093, 28726, 1982, 12483, 5, 6, 104985, 67882, 91275, 2865, 39083, 21923, 1285, 364, 21106, 30750, 116486, 73215, 34079, 185758, 18415, 125523, 6235, 55823, 46244, 149010, 2442, 163139, 1285, 4269, 59929, 12483, 22680, 75230, 12483, 4, 6, 238144, 1644, 1285, 39293, 6, 212484, 12483, 7746, 5332, 23741, 139365, 20616, 183512, 1644, 12483, 163139, 1285, 200795, 5, 4838, 3373, 4667, 32054, 75230, 12483, 199145, 160751, 12483, 7746, 657, 54260, 40920, 2808, 88680, 3069, 1211, 4838, 6, 212915, 4, 4838, 46590, 905, 123736, 42023, 6235, 50853, 4, 21923, 119055, 114436, 13456, 132025, 8903, 105235, 20911, 4, 92500, 123736, 23741, 2865, 39083, 4, 119055, 12483, 4838, 4231, 17310, 6093, 6, 133111, 54745, 185226, 36324, 7369, 37826, 657, 54260, 40920, 1470, 54260, 5666, 139449, 4838, 45521, 16803, 17310, 2200, 37826, 6235, 4944, 71577, 2882, 4838, 137, 185742, 506, 26, 28726, 2004, 6, 238144, 1644, 7369, 37826, 2808, 88680, 238197, 123736, 45521, 17800, 54260, 2442, 174121, 18415, 15, 2451, 84475, 4838, 46590, 905, 6, 47351, 2190, 5666, 59919, 506, 54260, 2648, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 5, 103928, 2442, 174121, 18415, 16, 32054, 75230, 4, 4151, 39293, 506, 2882, 7369, 220273, 27702, 50853, 36324, 1285, 6235, 119718, 10705, 5666, 65482, 32532, 167305, 68313, 292, 4838, 4269, 171433, 29766, 4113, 4113, 84475, 15857, 46590, 21292, 5, 69355, 4151 ]

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

[ 221895, 2442, 220224, 2882, 4, 6235, 20616, 2442, 18415, 17190, 168155, 8580, 4, 42542, 18225, 6, 225975, 12483, 215031, 17824, 75230, 36419, 9424, 29771, 54574, 874, 114436, 21923, 132025, 8903, 105235, 20911, 2200, 36324, 1285, 22753, 36419, 7508, 6093, 2200, 10069, 119055, 23173, 710, 24621, 657, 17645, 30750, 101608, 21733, 6093, 109226, 3120, 1470, 54260, 6093, 1751, 159696, 2442, 46685, 40697, 1211, 4, 23165, 225975, 23173, 16175, 17645, 6293, 6, 48775, 103023, 21106, 12483, 2200, 1470, 88945, 21106, 34533, 40697, 1211, 45521, 25207, 46244, 6093, 6, 29766, 6093, 3120, 2808, 54260, 6093, 5332, 147713, 84577, 12483, 6, 57277, 129891, 22426, 23173, 2882, 59461, 4, 6, 59919, 20315, 165354, 4838, 30109, 171433, 40697, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 5, 46711, 75230, 215206, 4, 95298, 123736, 23741, 88771, 711, 26612, 6235, 119718, 710, 36419, 5927, 26612, 7201, 16932, 81444, 20911, 29766, 65146, 6, 225975, 12483, 36324, 7369, 4269, 23173, 84577, 54196, 7511, 2882, 56170, 6319, 54260, 119132, 4838, 133880, 56170, 7746, 6, 21106, 54260, 1211, 292, 2200, 56170, 1285, 119055, 13845, 107581, 6, 150839, 64260, 130170, 46464, 40920, 5, 30473, 104238, 14856, 46244, 163139, 836, 6, 149364, 8300, 35596, 874, 114436, 151614, 1982, 12483, 4269, 171433, 29766, 4113, 4113, 5, 2200, 2808, 3373, 4667, 3120, 220224, 67882, 4944, 12483, 6319, 48775, 20260, 220224, 123073, 32054, 75230, 12483, 4, 119055, 12483, 220224, 364, 54260, 48775, 96986, 5, 6, 159696, 110317, 80885, 16667, 49537, 6, 123559, 68558, 2190, 5666, 113687, 196332, 32054, 75230, 12483, 151614, 1982, 12483, 43649, 186797, 4269, 171433, 29766, 4113, 4113, 95766, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 5, 1470, 17310, 73381, 20616, 2442, 1470, 54260, 1211, 22753, 1982, 29060, 13845, 3120, 203387, 34072, 152848, 151614, 1982, 12483, 3069, 45521, 136108, 48904, 165354, 220224, 6093, 34072, 16747, 4484, 54260, 2882, 4151, 4269, 171433, 29766, 25207, 4113, 4, 7265, 119055, 13845, 104238, 220224, 123073, 1470, 75230, 8903, 1211, 151614, 1982, 12483, 7746, 132025, 8903, 105235, 20911, 564, 54260, 4151, 8903, 28317, 2882, 4, 119055, 12483, 10676, 192544, 26, 2702, 6319, 137377, 3056, 6235, 147713, 12483, 56170, 4838, 6, 238144, 28726, 2205, 35189, 7038, 16932, 26, 2702, 1751, 54260, 20315, 5, 64260, 21923, 234917, 163825, 44779, 3120, 1285, 10339, 39083, 8903, 1211, 3120, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 152, 2865, 48904, 107581, 874, 114436, 4838, 54260, 1644, 12483, 7746, 3069, 2200, 6, 105235, 165354, 6, 68558, 220224, 123073, 2376, 850, 5, 104274, 123073, 119055, 23173, 96986, 78278, 220224, 21923, 45521, 17800, 54260, 2442, 174121, 2882, 4, 119947, 1285, 132025, 105235, 4484, 17310, 4852, 39083, 220224, 1211, 4838, 6235, 4852, 21660, 149010, 4, 45521, 68959, 93975, 21295, 3120, 1285, 6, 159696, 21295, 149010, 2200, 21776, 7972, 46677, 39293, 2808, 75230, 205416, 131044, 12483, 5, 3373, 26, 68313, 4838, 6, 56052, 172312, 18630, 5927, 199145, 4151, 72577, 6093, 6, 212915, 13458, 141847, 2882, 220224, 1211, 657, 17645, 75578, 45223, 23741, 5, 119718, 710, 123736, 23741, 119055, 6093, 12483, 34654, 1751, 65482, 82563, 20635, 3120, 4838, 4231, 17310, 6093, 32054, 75230, 6, 59919, 7511, 4944, 16932, 2205, 1285, 200795, 119055, 29771, 4944, 12483, 125523, 4151, 364, 54260, 2442 ]

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

[ 26632, 711, 22753, 37826, 6235, 23822, 75230, 63532, 3120, 4838, 10339, 26612, 123559, 4113, 7265, 4838, 192544, 6, 29766, 6093, 7265, 114955, 4, 6, 159696, 8903, 1211, 11556, 16932, 1644, 17645, 30750, 2200, 7038, 16932, 21847, 7682, 2819, 95298, 22753, 3056, 132025, 8903, 105235, 20911, 6235, 119718, 29766, 12483, 4, 6319, 48775, 20260, 6235, 119718, 29766, 12483, 4, 22753, 37826, 6235, 7972, 96986, 4, 9213, 46244, 6235, 75578, 11556, 16932, 3056, 6235, 90536, 1982, 12483, 6, 82576, 15350, 84475, 4, 37729, 6, 47351, 120202, 6093, 26612, 10918, 68558, 4, 199145, 3056, 4838, 10339, 39083, 8903, 69355, 1470, 4269, 171433, 29766, 4113, 4113, 4, 3056, 22753, 45521, 93509, 15231, 24621, 21295, 6235, 119718, 29766, 12483, 4, 18225, 37826, 6, 23173, 75230, 2702, 8903, 120620, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 117260, 96986, 9213, 46244, 6235, 75578, 11556, 16932, 84475, 1285, 1470, 54260, 6093, 105235, 4484, 2200, 22753, 42542, 6319, 54260, 1211, 2865, 39083, 14856, 46244, 42493, 151614, 1982, 12483, 6319, 54260, 1211, 114955, 5, 13159, 6235, 155697, 2882, 1470, 75230, 4667, 36324, 7508, 6093, 6, 212915, 4, 42493, 163139, 2702, 186797, 47833, 220224, 1211, 6, 21106, 18415, 2932, 171433, 29766, 4113, 4113, 2205, 125523, 56170, 47351, 4, 47833, 22753, 620, 29771, 23741, 125523, 2205, 220224, 1211, 213909, 21106, 4, 105235, 20911, 6, 68558, 220224, 1211, 32054, 75230, 119055, 12483, 7369, 364, 54260, 2442, 40096, 2200, 6428, 47351, 4, 119055, 12483, 22753, 657, 54260, 2648, 2882, 4, 564, 37016, 203749, 2882, 7369, 7746, 4, 36324, 7369, 37826, 172312, 6235, 506, 40096, 7265, 4838, 30109, 135118, 149010, 2442, 22680, 75230, 5, 2200, 7369, 65146, 23050, 1982, 18167, 8248, 4944, 12483, 4838, 46711, 54260, 16803, 564, 54260, 221895, 32054, 75230, 12483, 4, 564, 54260, 2050, 21847, 48350, 13845, 4, 564, 54260, 2050, 137, 75290, 18415, 1644, 2004, 2205, 220224, 1211, 19302, 29771, 1982, 27, 7369, 3056, 4151, 30109, 18406, 711, 2702, 26, 68313, 20033, 1751, 75230, 1211, 4838, 3373, 4667, 874, 39083, 160238, 130991, 3069, 55242, 506, 12483, 4838, 4231, 109226, 212915, 199145, 163139, 1644, 364, 54260, 48775, 96986, 2205, 4838, 58571, 89930, 9424, 54260, 2882, 159190, 4, 42493, 220224, 186797, 2808, 75230, 2702, 8903, 506, 54260, 21295, 2200, 95455, 1470, 54260, 109985, 4113, 7265, 13845, 37729, 119055, 13845, 4944, 13159, 6255, 151614, 1982, 8903, 4484, 35596, 1470, 30682, 40653, 2442, 16870, 12483, 123736, 1982, 13342, 147713, 12483, 1285, 364, 54260, 2442, 26632, 4, 3056, 6235, 159696, 1211, 4, 2808, 30682, 3069, 6, 225975, 12483, 36324, 220224, 1211, 32054, 75230, 119055, 29060, 3120, 1470, 30682, 6319, 48775, 20260, 119055, 6093, 12483, 2200, 36324, 30473, 119055, 29060, 1470, 30682, 1470, 75230, 131002, 135118, 12483, 4838, 3373, 4667, 6235, 50853, 38, 6, 104985, 119055, 12483, 6255, 151614, 25491, 30682, 132025, 8903, 68566, 55823, 1211, 564, 54260, 4151, 115222, 3131, 65482, 4, 37826, 7369, 7746, 130170, 8903, 8903, 1982, 12483, 711, 24621, 46244, 123073, 874, 114436, 6235, 506, 12483, 3069, 116486, 73215, 34079, 185758, 18415, 4, 3496, 64260, 3131, 220224, 21923, 45521, 17800, 54260, 2442, 174121, 2882, 5, 220224, 188485, 2181, 564, 54260, 148932, 6235, 28726, 8903, 5927, 54260, 2882, 119055, 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 ]

[ 4852, 54260, 6093, 32054, 75230, 42542, 220224, 42493, 1470, 75230, 7201, 101470, 5, 2200, 1751, 109636, 16932, 6, 199511, 220224, 1285, 25616, 48904, 15307, 54260, 2882, 3120, 4151, 116486, 73215, 34079, 185758, 16932, 3069, 220224, 6093, 6235, 4852, 21660, 149010, 2442, 32054, 75230, 5, 101328, 4, 1285, 116486, 73215, 34079, 185758, 18415, 657, 176727, 123736, 23741, 194706, 710, 47332, 1982, 23173, 2205, 564, 29060, 9424, 119718, 40697, 1211, 212915, 2200, 32054, 75230, 711, 2865, 48904, 4944, 2865, 39083, 116486, 7916, 2882, 54196, 4838, 4074, 186145, 122133, 1982, 22426, 90848, 73215, 34079, 185758, 18415, 3120, 35189, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 4838, 4231, 17310, 13845, 4, 364, 54260, 2442, 40096, 7265, 1470, 30682, 2200, 43649, 87442, 2808, 30682, 6, 68558, 5, 119055, 12483, 7369, 119055, 77188, 6235, 119718, 29771, 46244, 3120, 9213, 46244, 30109, 48904, 15307, 54260, 2882, 37729, 4151, 25616, 48904, 15307, 54260, 2882, 199145, 7369, 37826, 3120, 9213, 46244, 6235, 4484, 90848, 8903, 1211, 2200, 163139, 1644, 42493, 7265, 14004, 46244, 17190, 1982, 12483, 4, 9424, 119718, 23174, 2882, 1470, 30682, 4151, 6, 75322, 89184, 78683, 59461, 6, 120749, 6093, 9213, 46244, 3069, 36723, 76216, 1644, 12483, 4838, 6, 159696, 4944, 35596, 149010, 1211, 657, 75230, 1211, 5, 95455, 364, 54260, 16803, 6235, 65848, 1982, 12483, 1285, 564, 77928, 8300, 17310, 69355, 4151, 32054, 75230, 3069, 6, 238144, 2882, 711, 2200, 20033, 21923, 564, 37016, 84577, 14856, 46244, 123073, 36324, 13845, 107581, 10339, 109316, 5, 39293, 46244, 10184, 13845, 874, 39083, 7213, 20911, 4151, 81444, 20911, 29766, 4838, 6, 119859, 69106, 4231, 109226, 6, 212915, 3069, 22426, 90848, 73215, 34079, 185758, 18415, 4, 119055, 12483, 1285, 168155, 119055, 39083, 2882, 7746, 125523, 6, 71804, 23405, 241997, 10213, 61397, 12483, 123736, 42023, 4838, 32054, 75230, 5, 163139, 1751, 141943, 32792, 711, 23822, 75230, 6093, 18640, 3056, 3069, 55242, 506, 12483, 4231, 17310, 44779, 4, 114955, 3120, 423, 78278, 729, 6, 101328, 46244, 144754, 4838, 4269, 171433, 29766, 29771, 4113, 4113, 199145, 220224, 6, 199511, 3120, 220224, 6093, 163139, 4852, 15907, 564, 54260, 6, 73381, 35596, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 2648, 5666, 418, 7972, 30750, 32054, 75230, 12483, 4, 3069, 119055, 13845, 107581, 220224, 21923, 45521, 93509, 28726, 22426, 2882, 6235, 119718, 29766, 12483, 3120, 137, 26217, 18415, 73375, 35189, 2909, 2702, 26, 68313, 4838, 22518, 37016, 32792, 4, 24012, 35189, 23822, 91595, 18640, 10339, 139365, 25207, 4944, 12483, 6319, 48775, 20260, 3069, 67882, 4944, 12483, 220224, 1211, 32054, 75230, 4, 119055, 13845, 107581, 3056, 123736, 23741, 36324, 75230, 2190, 5666, 113687, 158548, 4, 2190, 5666, 119718, 21292, 141943, 4, 6, 76776, 710, 119718, 92500, 119055, 13845, 107581, 204982, 10676, 6, 59919, 25207, 16932, 40697, 1211, 4, 7369, 7201, 26612, 46244, 171428, 2200, 1470, 75230, 2702, 8903, 1982, 212484, 171428, 6, 212915, 9213, 46244, 6, 75290, 149364, 4, 9213, 46244, 657, 54260, 1982, 4, 9213, 46244, 657, 17645, 30750, 4, 76961, 2702, 199145, 22753, 59919, 87311, 98833, 4, 2205, 99509, 6093, 6, 59919, 23822, 75230, 2808, 17310, 711, 119718, 120467, 6, 48904, 69801, 48904, 98833, 15857, 46590, 21292, 4, 27855, 56169, 29434, 5, 564, 71804 ]

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

[ 3131, 88660, 123736, 1982, 4, 6150, 2205, 75578, 79981, 151614, 1982, 12483, 209, 6, 149364, 8300, 35596, 1470, 54260, 5666, 119718, 29771, 506, 59461, 1285, 39293, 30109, 48904, 15307, 54260, 2882, 5, 5, 3120, 805, 116486, 73215, 34079, 185758, 18415, 4, 151614, 1982, 12483, 2248, 78278, 2510, 15857, 46590, 21292, 5, 10069, 34482, 170355, 107581, 3120, 1285, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 3056, 1285, 116486, 73215, 34079, 10918, 68558, 10069, 116486, 73215, 34079, 10918, 68558, 3056, 4151, 17824, 75230, 101608, 21776, 168155, 119718, 29771, 23173, 4, 3120, 119055, 48904, 12483, 10069, 874, 114436, 6, 104378, 47783, 27855, 109636, 1211, 95455, 33960, 23741, 2200, 3120, 1054, 48904, 12483, 8947, 3069, 2932, 34533, 7746, 230764, 4151, 4269, 48904, 89930, 6235, 39293, 139962, 145702, 5, 10069, 116486, 73215, 34079, 10918, 68558, 3056, 178766, 76961, 24621, 16667, 1470, 17310, 105330, 4, 22753, 3056, 1285, 25391, 37016, 149010, 119055, 10705, 16747, 4, 1285, 19302, 29771, 92605, 4113, 3120, 63259, 7611, 4, 4151, 123736, 1982, 23847, 88917, 37729, 119055, 13845, 4944, 12483, 178766, 17190, 1982, 12483, 3056, 190800, 8903, 23822, 135118, 12483, 7265, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 5, 26612, 10213, 65606, 2865, 16932, 32054, 48904, 8300, 75230, 4852, 152185, 6, 23173, 56169, 37826, 4838, 874, 39083, 6235, 225975, 2882, 152, 37271, 10069, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 21923, 1285, 183582, 199145, 1285, 116486, 73215, 34079, 185758, 18415, 33960, 1982, 12483, 1285, 45521, 17800, 54260, 2442, 174121, 18415, 32054, 75230, 12483, 3069, 220224, 6093, 172312, 2909, 104985, 7265, 21776, 2050, 163139, 1644, 6255, 42493, 6, 225975, 12483, 36324, 6, 104985, 1285, 116486, 73215, 34079, 185758, 18415, 4, 2648, 120467, 364, 54260, 16803, 36324, 6, 104985, 32054, 75230, 12483, 21923, 1285, 131397, 196332, 5, 1285, 116486, 73215, 34079, 185758, 18415, 119055, 6093, 12483, 132025, 8903, 105235, 20911, 3120, 874, 114436, 4, 95455, 364, 54260, 16803, 36324, 874, 114436, 21923, 159696, 110317, 80885, 16667, 6, 172060, 185226, 36324, 75230, 131397, 158548, 163139, 32054, 75230, 12483, 2205, 4151, 45521, 93509, 80453, 54260, 2882, 17310, 69355, 73095, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 5, 3523, 40096, 9221, 32792, 21923, 56170, 47351, 14856, 46244, 6093, 25207, 78104, 73381, 123073, 34482, 170355, 4944, 12483, 4, 163139, 12, 1285, 2190, 5666, 190386, 710, 106504, 54260, 2882, 3120, 1470, 3373, 4667, 874, 114436, 3069, 364, 54260, 48775, 96986, 95766, 3523, 54260, 2882, 4, 1285, 7544, 39293, 48775, 1982, 109316, 4838, 68697, 54260, 125830, 75578, 23174, 183216, 3120, 34654, 32054, 75230, 12483, 4, 34654, 7544, 146598, 63593, 29766, 21106, 3120, 7508, 6093, 6235, 39293, 1644, 95494, 23741, 199145, 6, 59919, 29659, 75230, 16803, 4838, 874, 54260, 20315, 1644, 4, 119055, 13845, 107581, 2205, 6235, 119718, 29766, 12483, 4838, 67882, 24621, 123736, 42023, 7508, 6093, 6235, 39293, 1644, 95494, 23741, 26, 2050, 116329, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 9183, 29659, 52480, 17310, 4, 1285, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 14856, 5, 6093, 2200, 32054, 75230, 12483, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 4, 1285, 2190, 214766, 54260, 30750, 74806, 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 ]

[ 206014, 710, 30750, 874, 29766, 21106, 7201, 23173, 874, 114436, 2200, 56170, 32054, 75230, 12483, 4, 4838, 620, 91595, 20616, 54260, 1982, 4, 620, 91595, 4113, 895, 16932, 12483, 2200, 36324, 75230, 6, 238144, 16932, 5, 51723, 42542, 6, 225975, 12483, 36324, 2205, 64699, 177274, 1211, 10339, 21106, 3056, 4838, 6, 212915, 15, 39293, 1644, 33716, 114436, 4838, 32054, 75230, 16, 2205, 4151, 160238, 2050, 3120, 4838, 32054, 75230, 12483, 506, 141943, 44478, 6, 29766, 6093, 4838, 83182, 3131, 4, 124724, 87442, 131397, 158548, 2205, 10676, 6, 23173, 54260, 5666, 240863, 3120, 4838, 874, 54260, 20315, 1644, 2205, 124724, 54260, 506, 12483, 3120, 1285, 116486, 73215, 34079, 185758, 18415, 5, 36324, 13845, 107581, 4838, 2932, 35596, 12483, 3120, 4151, 116486, 73215, 34079, 10918, 68558, 6235, 7916, 49008, 7746, 2205, 6, 57277, 69106, 113687, 12483, 4, 27702, 506, 49008, 4, 6235, 159696, 22849, 12483, 4, 2205, 29659, 77188, 2200, 4151, 59919, 4, 292, 40653, 14081, 5, 51723, 6, 225975, 2882, 194706, 36324, 1285, 116486, 73215, 34079, 10918, 68558, 3056, 7243, 43449, 75230, 4852, 4838, 137, 5666, 75230, 15231, 2932, 9213, 69801, 2004, 6, 104985, 1470, 75230, 4667, 4838, 162926, 4113, 67826, 26394, 3120, 4151, 10339, 26612, 123559, 4113, 6235, 8903, 1211, 10705, 5666, 2865, 29766, 21106, 131044, 5, 2200, 36324, 75230, 163139, 1285, 10339, 26612, 123559, 4113, 3056, 1470, 54260, 23269, 3120, 1285, 23847, 88917, 71804, 8903, 1211, 3120, 4151, 6235, 39293, 139962, 145702, 4, 3056, 1470, 75230, 4667, 1285, 116486, 73215, 34079, 29789, 68558, 1470, 67826, 26394, 3120, 4151, 6235, 39293, 1644, 95494, 23741, 5, 16742, 4, 199145, 56170, 4838, 7201, 26612, 123559, 4113, 711, 199145, 56170, 4838, 6, 48350, 13845, 95494, 23741, 711, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 2205, 82977, 6, 101328, 24152, 35189, 6235, 46464, 166968, 54260, 125830, 20315, 22426, 101503, 96302, 3120, 4151, 43649, 142429, 2882, 82977, 4231, 29766, 15307, 64260, 6, 59919, 71804, 23405, 2882, 3120, 1285, 87197, 82977, 4231, 29766, 75290, 81444, 20911, 75230, 16847, 220224, 170479, 12483, 144754, 2882, 54260, 1644, 12483, 163139, 7916, 13845, 74806, 1644, 91595, 131002, 48904, 39340, 220224, 151614, 1982, 12483, 10213, 506, 183512, 13845, 2882, 2205, 101328, 46244, 62977, 5, 43449, 75230, 4852, 146646, 81444, 20911, 75230, 16847, 151614, 1982, 12483, 6235, 35596, 59919, 2882, 2200, 151614, 1982, 12483, 171433, 8903, 8903, 1982, 12483, 1285, 9424, 29771, 54574, 12483, 199145, 220224, 151614, 1982, 12483, 7746, 241997, 4151, 87311, 49008, 15, 47351, 102562, 16, 2819, 3373, 26, 68313, 1470, 75230, 2702, 130991, 702, 135407, 15857, 46590, 21292, 61541, 4113, 4, 744, 105028, 81414, 149364, 2702, 4, 5896, 5016, 1751, 167622, 90848, 88945, 1211, 15, 219947, 15857, 7916, 69181, 71512, 6, 95494, 20260, 93497, 194, 95455, 506, 54260, 16803, 201, 3768, 12975, 10339, 109316, 3120, 73095, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 2205, 427, 73880, 4, 1982, 54260, 119055, 76632, 61397, 163139, 1470, 54260, 1211, 29434, 15907, 13845, 81444, 20911, 75230, 16847, 5, 3373, 26, 68313, 6235, 159696, 1211, 2190, 5666, 190386, 18167, 13342, 46050, 8903, 1211, 4838, 10339, 39083, 29659, 186797, 12483, 21776, 22426, 99766, 6, 159696, 8903, 1211, 1285, 9424, 29771, 54574, 10339, 109316, 199145, 4852 ]

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

[ 171428, 10213, 506, 183512, 13845, 2882, 6235, 119718, 29766, 12483, 2205, 1285, 1285, 150349, 172398, 6093, 21292, 2200, 145813, 710, 18415, 44478, 4, 29771, 75578, 4151, 6235, 46464, 50856, 506, 54260, 125830, 20315, 22426, 23173, 2882, 96302, 6, 238144, 16803, 36324, 34654, 39293, 6, 48904, 29659, 21106, 96986, 85465, 200117, 12483, 1470, 75230, 7201, 13342, 2808, 238144, 104149, 4838, 9424, 29771, 54574, 199145, 3056, 137, 24621, 46244, 123073, 874, 39083, 17824, 13159, 6093, 905, 54260, 1285, 3120, 4151, 41764, 12415, 119718, 40096, 80453, 129071, 125897, 2909, 20632, 4, 2200, 1285, 199145, 6, 212484, 12483, 7746, 22426, 90848, 73215, 34079, 10918, 68558, 111339, 219947, 10213, 506, 183512, 1644, 12483, 3120, 6319, 54260, 1211, 69529, 81444, 20911, 29766, 705, 6255, 6428, 135118, 6150, 18225, 119055, 29060, 219947, 220224, 1211, 6, 238144, 2882, 3120, 26, 5, 88771, 119055, 12483, 18225, 6, 95494, 56169, 123736, 1982, 1285, 9424, 29771, 54574, 10339, 109316, 3120, 36419, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 2205, 82977, 6, 101328, 24152, 2205, 4838, 6, 101328, 46244, 9424, 119718, 40697, 1211, 2445, 4, 4283, 92500, 2445, 4, 6331, 2819, 1470, 75230, 1982, 6255, 151614, 1982, 4838, 186421, 4, 3056, 95455, 33960, 104238, 2205, 10676, 109995, 6150, 6255, 29566, 7611, 123736, 1982, 230764, 3069, 6, 159696, 110317, 5, 95455, 364, 54260, 16803, 36324, 6, 159696, 110317, 80885, 16667, 2808, 54260, 1211, 4838, 40920, 13845, 3120, 4151, 82977, 4231, 29766, 75290, 10213, 61541, 75290, 17310, 657, 54260, 2648, 2882, 3120, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 711, 119055, 12483, 9213, 46244, 55242, 506, 2882, 382, 14856, 110970, 12483, 4, 3056, 1470, 54260, 59461, 6319, 48775, 20260, 35189, 75230, 6293, 711, 204982, 9213, 46244, 7746, 21776, 107581, 191538, 23741, 199145, 95455, 190859, 54260, 2882, 705, 2200, 96951, 6, 101328, 24152, 3056, 7243, 7369, 61397, 163139, 221895, 43649, 16870, 2882, 27, 10705, 194734, 68959, 72158, 109226, 6, 159696, 8903, 1211, 4151, 116486, 73215, 34079, 10918, 47351, 10069, 116486, 73215, 34079, 10918, 68558, 3056, 2205, 178766, 6235, 39293, 1644, 95494, 23741, 47783, 230764, 35189, 6, 57277, 8903, 2702, 29766, 20315, 3111, 23405, 5, 22753, 657, 176727, 40653, 194706, 163139, 4838, 1751, 119718, 23173, 89930, 3131, 159696, 2442, 6093, 119055, 39083, 165354, 199145, 6, 59919, 105780, 82576, 2882, 178766, 17190, 1982, 12483, 2819, 22753, 3056, 10069, 19302, 29771, 92605, 4113, 4, 3120, 119055, 13845, 104238, 8947, 6, 150839, 4113, 47332, 7746, 4151, 33960, 23741, 161459, 74806, 57277, 20260, 119718, 120467, 29434, 23174, 2882, 6, 23173, 54260, 1211, 2205, 76961, 7213, 40920, 12483, 3120, 4151, 10213, 61541, 75290, 17310, 9747, 30473, 3069, 3069, 7201, 75230, 1644, 12483, 2819, 22753, 3056, 4151, 123736, 1982, 23847, 88917, 2205, 119055, 13845, 4944, 12483, 8947, 10339, 186955, 6, 23173, 54260, 1211, 92500, 119055, 77188, 6, 59919, 7511, 40920, 29060, 4838, 17824, 75230, 101608, 16175, 54260, 1644, 3120, 10676, 10339, 54260, 16667, 96986, 2200, 564, 13159, 96986, 14856, 110970, 12483, 101296, 16932, 710, 21106, 5, 3120, 9213, 46244, 107776, 7369, 7511, 35189, 17310, 4, 78104, 73381, 13159, 4, 10705, 23269, 16747, 32792, 78104, 73381, 13159, 657, 54260, 20315, 1211, 4, 3120, 9213, 46244, 6, 104378, 1285, 4838, 164863, 80885, 70695, 5666 ]

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

[ 52671, 54260, 96986, 4, 1285, 12023, 16932, 80885, 9585, 32572, 4, 1285, 17824, 4113, 1982, 80885, 45521, 38054, 139365, 109226, 5, 22753, 45521, 93509, 15231, 24621, 21295, 4, 6, 59919, 119718, 10705, 16747, 29060, 4, 6, 130734, 26, 29060, 95455, 163139, 40920, 18640, 80885, 199145, 3056, 2205, 20315, 2050, 14856, 110970, 149010, 1211, 6, 75290, 149364, 2200, 95455, 1751, 43178, 80885, 2200, 8009, 13845, 80885, 199145, 2205, 35189, 14856, 110970, 149010, 2442, 3523, 83586, 5, 7265, 9213, 46244, 6, 59919, 26, 2702, 2702, 26, 16932, 10213, 65606, 2442, 17310, 6, 59919, 119718, 710, 48904, 29060, 22753, 2200, 3069, 29659, 77188, 22753, 95455, 9424, 23173, 18415, 34072, 2865, 109316, 4, 95455, 6, 104985, 119718, 120467, 35189, 159696, 146873, 54745, 105330, 174121, 74806, 1644, 91595, 149010, 6235, 111684, 1644, 3120, 7508, 6093, 40026, 506, 119273, 89184, 23964, 141943, 2819, 7265, 10676, 564, 189623, 186797, 12483, 364, 75230, 4667, 3120, 9213, 46244, 7544, 146598, 12483, 2200, 60118, 54260, 119132, 874, 75230, 1644, 6, 59919, 109636, 80885, 2882, 22753, 95455, 74806, 1644, 91595, 2050, 28726, 1982, 12483, 9424, 119718, 40697, 1211, 7508, 54260, 55823, 2865, 114436, 2200, 32054, 75230, 12483, 2200, 4269, 90848, 47332, 130170, 2200, 6, 59919, 119718, 183512, 13845, 2882, 2205, 85596, 29025, 12483, 95455, 199145, 119055, 39083, 2882, 241997, 220224, 1211, 95455, 17288, 4944, 80885, 34076, 7682, 2205, 178766, 37016, 30473, 80885, 69106, 5, 29771, 75578, 3120, 119055, 48904, 12483, 107776, 22753, 4, 1285, 116486, 73215, 34079, 10918, 68558, 705, 22753, 1751, 57277, 63532, 69355, 4151, 364, 13159, 149010, 2442, 2200, 22518, 37016, 149010, 2442, 1470, 17310, 6093, 91595, 18640, 4484, 54260, 2882, 199145, 10213, 20840, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 506, 6093, 29659, 364, 54260, 13497, 13342, 97634, 2932, 95455, 17190, 1982, 12483, 2819, 22753, 119055, 92605, 16803, 2205, 10676, 6, 59919, 21066, 710, 40920, 12483, 220273, 96986, 3120, 3373, 29771, 10918, 21106, 6093, 1470, 75230, 2702, 1982, 75230, 2882, 17310, 4, 3120, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 4, 69355, 130170, 13982, 7682, 17310, 4, 3120, 21776, 119718, 39083, 15231, 25207, 152848, 4838, 75578, 21847, 75230, 1982, 172398, 2200, 3120, 24012, 35189, 161459, 130170, 159696, 2442, 7201, 17310, 3069, 1285, 182261, 93975, 6, 59919, 154289, 18415, 152848, 101251, 105235, 16747, 12483, 5, 22753, 29434, 23174, 2882, 4, 22753, 6319, 120749, 9213, 46685, 16175, 17645, 59919, 6, 23173, 54260, 1211, 2205, 178766, 17190, 1982, 12483, 2200, 67882, 40920, 6319, 48775, 20260, 178766, 364, 75230, 22426, 48253, 57277, 2050, 2819, 95298, 20033, 21923, 13159, 119055, 77188, 3069, 657, 54260, 20315, 1211, 2200, 22753, 3056, 1470, 54260, 23269, 3120, 1285, 10184, 109316, 6235, 15231, 49008, 7508, 6093, 48775, 30750, 199145, 10213, 3131, 226112, 23741, 194706, 56170, 178766, 34076, 54260, 4944, 154739, 15231, 2932, 4484, 54260, 2882, 3069, 10676, 114650, 105439, 3120, 63259, 7611, 2200, 17824, 75230, 235210, 4484, 54260, 2882, 2205, 119055, 13845, 4944, 12483, 20033, 119055, 21106, 61397, 12483, 7746, 5, 10069, 39293, 6235, 94741, 20260, 12483, 6, 104378, 123736, 42023, 178766, 163139, 1644, 12483, 2205, 18895, 4, 119055, 12483, 20033, 17190, 104149, 34654, 56170, 194706, 7243, 3523, 54260, 4113, 4, 95298, 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, 4113, 21776, 124740, 57277, 96986, 69355, 4151, 1470, 75230, 2702, 7201, 29766, 3131, 17310, 6, 159696, 8903, 1211, 137, 22426, 90848, 73215, 34079, 10918, 68558, 4838, 75386, 364, 183512, 13845, 2205, 35189, 43649, 142429, 2882, 82977, 6, 101328, 24152, 2004, 199145, 21923, 7369, 16629, 49008, 2205, 1470, 6, 229340, 3120, 50273, 29766, 50273, 24012, 1644, 141943, 2200, 21923, 3069, 45521, 38054, 48904, 165354, 10676, 137, 12890, 905, 90848, 3120, 3373, 29771, 10918, 21106, 6093, 11211, 46677, 142170, 2004, 6, 47351, 6, 48904, 29659, 186955, 22444, 81455, 119055, 13845, 104238, 234917, 7508, 54260, 107581, 84087, 84577, 2442, 137377, 12483, 160751, 12483, 98252, 3069, 4151, 6235, 39293, 1644, 95494, 23741, 4838, 19302, 54260, 119132, 16175, 54260, 1644, 3120, 10069, 6, 59919, 24621, 8903, 16667, 199145, 220224, 151614, 1982, 12483, 6235, 101296, 40920, 37729, 4151, 3373, 29771, 10918, 21106, 6093, 2190, 50856, 61397, 91595, 18640, 4484, 54260, 2882, 2200, 37729, 119055, 13845, 104238, 1285, 39293, 1644, 30750, 137, 2702, 29771, 10918, 21106, 4113, 11211, 46677, 23269, 155, 905, 77188, 166464, 18415, 2932, 32792, 45521, 55451, 50856, 54260, 110317, 2882, 5, 10069, 364, 75230, 22426, 2882, 15231, 109636, 1211, 3120, 116486, 73215, 34079, 10918, 171433, 36419, 35596, 25207, 1211, 2205, 4838, 46685, 7682, 165592, 171428, 152, 48494, 203232, 6, 225975, 43178, 84577, 4113, 137, 22426, 23173, 1644, 29766, 506, 75230, 1211, 155, 84475, 191795, 38054, 13845, 4, 95455, 364, 75230, 4852, 144754, 137, 24621, 17160, 9221, 18415, 21422, 46685, 2004, 95455, 137, 22426, 90848, 73215, 2882, 92866, 24001, 124873, 64260, 13845, 155, 2200, 7508, 6093, 37271, 2865, 59929, 165592, 3131, 155, 22426, 23173, 1644, 29766, 5, 1285, 564, 174798, 54260, 1982, 17310, 3120, 1285, 39293, 7369, 16932, 3056, 1470, 54260, 5666, 7201, 26612, 4667, 92500, 81444, 4667, 67882, 40920, 22753, 230764, 10676, 17190, 168155, 4838, 22518, 37016, 149010, 1211, 4, 64915, 32572, 26, 196332, 1211, 2808, 54260, 16747, 55049, 5, 6, 64260, 2205, 4838, 116486, 30750, 152, 137, 26612, 17824, 75230, 36419, 364, 15350, 89930, 23269, 564, 167622, 43649, 20616, 2882, 1982, 54260, 4151, 119055, 183512, 3120, 10676, 1470, 75230, 7201, 76776, 36258, 2702, 21106, 68558, 15, 22426, 23173, 1644, 29766, 194, 1285, 78278, 23269, 2702, 68313, 2205, 99509, 12483, 6, 240863, 5, 1285, 27702, 20260, 3056, 99509, 7265, 65902, 35596, 12483, 4, 119055, 13845, 107581, 22753, 26394, 1211, 141847, 3069, 235210, 43178, 8903, 80453, 119273, 1470, 54260, 59461, 17190, 1982, 12483, 10676, 221895, 1211, 4, 6, 159696, 46244, 141943, 87680, 4, 7243, 151614, 1982, 186797, 119055, 10705, 3069, 22753, 26394, 1211, 4, 7038, 104149, 6, 105235, 42023, 5, 564, 54260, 1285, 6, 131445, 69355, 1285, 6, 186145, 22426, 199145, 10184, 46244, 12483, 3069, 1285, 137, 31249, 29771, 6293, 155, 10918, 46685, 15, 30750, 13982, 905, 36258, 16, 3120, 20315, 2050, 17288, 104238, 12483, 43649, 218241, 43649, 20616, 2882, 4838, 6, 133111, 5, 4838, 177274, 2702, 874, 39083, 119055, 12483, 4838, 4269, 59929, 158652, 177148, 4838, 90848, 1982, 4, 22518, 54260, 2882, 4151, 81444, 4852, 161459, 132025, 2932, 105235, 1644, 16932, 7265, 4838, 241304, 2702, 195164, 93975, 1211, 2200, 43649, 23173, 165354, 52059, 152, 23050, 152194, 711, 292, 9934, 29771, 7201, 99766, 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 ]

[ 47332, 7746, 230764, 35189, 4231, 76632, 61397, 6, 119859, 16803, 199145, 22753, 56169, 230764, 4151, 564, 167622, 44917, 76216, 216510, 3069, 1285, 22426, 90848, 73215, 34079, 10918, 68558, 129697, 186145, 22426, 4, 2200, 7369, 6235, 506, 2882, 6, 23173, 75230, 6293, 2819, 2205, 54745, 2865, 39293, 22849, 12483, 1470, 75230, 8903, 5666, 181615, 22444, 165354, 4852, 18167, 76961, 40653, 93975, 205814, 3120, 4151, 564, 167622, 3069, 3069, 1285, 6, 186145, 22426, 2200, 1470, 54260, 59461, 69355, 1285, 6, 105235, 189623, 196332, 55242, 56169, 7746, 230764, 10676, 17190, 196332, 1211, 1751, 46545, 13845, 170791, 2909, 2451, 2205, 1470, 54260, 1211, 6, 99766, 21923, 2205, 4838, 364, 54260, 2702, 12483, 135289, 97634, 2932, 6235, 159696, 1211, 6, 71041, 119166, 20315, 1211, 2819, 17645, 20315, 3120, 1285, 101251, 21847, 7682, 149010, 116486, 73215, 34079, 185758, 18415, 37826, 6235, 506, 40096, 9213, 46244, 20585, 5, 20315, 2050, 23050, 1982, 80885, 1211, 166464, 204982, 18225, 40653, 10676, 31807, 20305, 10676, 75773, 152, 1982, 120467, 16932, 37826, 10213, 10069, 35596, 496, 4, 564, 54260, 12890, 30284, 1751, 23173, 1644, 64260, 24645, 6, 94741, 7972, 496, 92500, 36324, 75230, 6, 238144, 16932, 5, 95298, 4151, 137, 1982, 120467, 155, 119055, 77188, 564, 54260, 4852, 152, 7243, 76961, 2865, 54260, 2648, 44779, 151614, 1982, 12483, 137, 8903, 20961, 1982, 54260, 2882, 2909, 18225, 64769, 48253, 69127, 176727, 220224, 152, 220224, 151614, 1982, 12483, 7511, 2882, 241997, 4, 220224, 21923, 6235, 159696, 1211, 3069, 127461, 3120, 10676, 40026, 506, 6093, 196332, 1211, 166464, 2200, 13159, 3056, 215031, 1751, 159696, 25207, 364, 45631, 5, 95298, 95455, 21923, 42493, 6319, 54260, 23269, 6235, 7511, 8903, 152848, 4775, 143712, 56170, 10676, 1470, 54260, 8903, 50778, 46685, 5, 7369, 119055, 23173, 23741, 10676, 241304, 2702, 111684, 2442, 6093, 4838, 4269, 212484, 2205, 6319, 137377, 152, 137, 51723, 6, 94741, 63020, 7243, 6, 59919, 76776, 10813, 13159, 93975, 1211, 95455, 241304, 2819, 1470, 75230, 1982, 1470, 54260, 23269, 42542, 42493, 19532, 1982, 54260, 96986, 4, 65146, 18225, 46050, 8903, 1211, 6, 47351, 221895, 199145, 42542, 6, 101328, 2909, 95766, 190, 6873, 32887, 23269, 96302, 364, 54260, 168155, 3120, 186383, 29060, 12483, 4, 6, 71577, 57277, 2884, 37826, 18225, 8903, 17268, 49008, 534, 12825, 116486, 40920, 15907, 905, 10918, 171433, 150349, 28726, 89930, 5, 2205, 45521, 112593, 23173, 62977, 6, 168155, 49008, 6235, 159696, 1211, 10213, 36326, 23741, 176727, 4, 17190, 1982, 12483, 221895, 4, 201, 2588, 874, 54260, 2648, 44779, 130170, 611, 101328, 46244, 5, 18225, 37826, 6235, 17268, 49008, 19302, 54260, 23269, 114955, 46440, 186797, 7746, 17190, 1982, 12483, 1285, 6093, 16932, 119055, 10705, 116486, 73215, 34079, 185758, 18415, 151614, 1982, 12483, 1470, 75230, 2702, 8903, 14004, 47332, 220224, 6093, 137, 17017, 29771, 14325, 2909, 10069, 6, 57277, 42021, 21106, 12483, 2200, 6, 57277, 69106, 113687, 12483, 21923, 123736, 23741, 4151, 67882, 24152, 119055, 10705, 10069, 116486, 73215, 2882, 92866, 24001, 16667, 26612, 2932, 35596, 12483, 8248, 4944, 12483, 1470, 75230, 2702, 220224, 123073, 30109, 79174, 2819, 1285, 39293, 26612, 2932, 35596, 12483, 21923, 123736, 23741, 1751, 12483, 6235, 21733, 54260, 20315, 18415, 874, 114436, 4, 7265, 10339, 54260, 23269, 874, 48904, 9221, 12483, 2819 ]

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

[ 4852, 54260, 3069, 2882, 54260, 1644, 12483, 6658, 9134, 2200, 7369, 21733, 6093, 12483, 657, 17645, 30750, 3069, 1285, 874, 54260, 2648, 44779, 199145, 51678, 657, 54260, 4944, 16932, 123736, 1982, 8903, 76776, 33716, 119055, 6093, 12483, 2819, 220224, 6, 59919, 7201, 39083, 8903, 1211, 1470, 75230, 4667, 1285, 221895, 4, 10069, 1751, 159696, 2442, 123073, 3069, 7369, 29771, 75578, 1211, 4, 7243, 6, 57277, 57619, 186797, 7265, 220224, 2200, 220224, 220273, 219947, 1751, 135118, 186797, 4, 78278, 220224, 46050, 8903, 1211, 220224, 2205, 23050, 7611, 6, 23173, 54260, 1211, 5, 13159, 119055, 6093, 12483, 6235, 5666, 75230, 564, 174798, 16011, 12483, 1285, 241304, 35044, 54260, 18415, 199145, 364, 183512, 1644, 12483, 144754, 32054, 75230, 12483, 230764, 4838, 17824, 75230, 2702, 12483, 874, 59929, 3131, 57277, 1982, 4, 220224, 123073, 45521, 111996, 16747, 109226, 2205, 203387, 43649, 16870, 2882, 2200, 657, 192539, 4, 220224, 6093, 17824, 75230, 101608, 9424, 216510, 2205, 82977, 6, 101328, 24152, 5, 2808, 54260, 59461, 3120, 220224, 4, 4151, 137, 145146, 2004, 10213, 30473, 56169, 895, 6293, 17824, 75230, 36419, 137, 506, 54260, 4852, 44779, 155, 2200, 506, 64260, 4838, 17824, 75230, 2702, 12483, 1470, 54260, 5666, 21066, 24244, 564, 54260, 4151, 117902, 1644, 31623, 54260, 5, 95766, 4151, 43649, 142429, 97634, 47332, 54260, 1644, 17310, 67882, 5927, 29060, 12483, 3120, 82977, 6, 101328, 24152, 21923, 2808, 88680, 8903, 26394, 506, 21295, 6235, 119718, 29766, 12483, 63902, 4046, 116486, 73215, 34079, 185758, 18415, 2205, 4151, 9424, 54260, 2882, 108837, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 69355, 4151, 130170, 119718, 4944, 17310, 2819, 95298, 7243, 76961, 162726, 21660, 6093, 21923, 130170, 46464, 40920, 6235, 119718, 29766, 12483, 5, 2808, 75230, 1982, 18225, 21776, 4944, 35596, 36324, 177274, 2702, 3120, 1285, 874, 54260, 2648, 44779, 137, 30750, 10069, 35596, 155, 2205, 144754, 13845, 209, 119166, 20315, 1211, 4838, 166464, 4, 6235, 506, 12483, 119055, 26612, 506, 93509, 54260, 5666, 32792, 3069, 116486, 73215, 34079, 185758, 18415, 159696, 110317, 80885, 66293, 2445, 4, 19236, 874, 114436, 193012, 32792, 2205, 186383, 29060, 12483, 5, 119718, 120467, 6, 48904, 30750, 143409, 2882, 95455, 6, 59919, 10069, 172398, 2882, 3120, 1285, 1470, 54260, 8903, 50778, 46685, 4, 42542, 51723, 7746, 4151, 69355, 67882, 4944, 12483, 4838, 10213, 68566, 6293, 119055, 12483, 18225, 7369, 7201, 26612, 506, 33716, 36324, 29434, 54260, 2702, 92290, 54260, 4852, 44779, 2205, 119055, 13845, 107581, 7508, 6093, 6, 80453, 54260, 4852, 3056, 1470, 54260, 1211, 81444, 1644, 23173, 151614, 1982, 12483, 4838, 6, 77820, 2442, 32792, 2808, 54260, 5666, 88660, 51723, 3120, 6, 159696, 110317, 80885, 16667, 9424, 238144, 6, 123559, 68558, 81444, 1644, 23173, 7243, 21776, 4944, 43178, 186797, 20315, 2050, 116486, 7916, 2882, 199145, 107776, 6, 23173, 54260, 1211, 3120, 6235, 23822, 135118, 4, 6, 57277, 1982, 92605, 4, 3120, 10676, 59919, 4484, 75230, 55823, 1211, 19302, 54260, 35189, 3069, 1285, 874, 54260, 2648, 44779, 4, 3120, 81414, 20260, 195054, 35189, 4, 6, 80453, 48350, 35596, 12483, 29060, 8300, 5, 35189, 10213, 120749, 6, 65606, 33716, 1470, 75230, 4667, 6, 68558, 4, 95298, 55242, 46244, 1470, 75230, 75578, 21066, 4113, 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 ]

[ 32792, 2200, 144754, 4838, 6, 56052, 6, 35596, 3111, 1644, 158548, 17310, 4, 1285, 6, 90848, 28726, 199145, 1285, 117902, 1644, 31623, 54260, 145813, 17645, 21295, 2205, 35189, 45521, 93509, 80453, 54260, 2882, 17310, 3120, 4151, 116486, 73215, 34079, 10918, 68558, 5, 103854, 6235, 5666, 75230, 4113, 130170, 119718, 4944, 109226, 4, 4151, 21776, 124740, 2882, 40096, 3120, 119055, 13845, 107581, 8947, 159696, 33716, 40653, 8903, 8903, 1982, 12483, 2205, 10676, 6, 229340, 4, 37826, 18225, 6235, 17268, 49008, 36324, 2510, 116486, 29025, 35596, 15, 69355, 6, 195807, 130170, 119718, 4944, 18415, 16, 151614, 1982, 12483, 6235, 506, 40096, 6, 47351, 6, 48904, 105235, 39340, 152848, 6235, 15350, 91595, 2050, 25616, 48904, 15307, 54260, 2882, 2819, 2190, 1285, 21923, 76961, 6235, 159696, 1211, 132025, 7201, 141847, 89184, 49008, 2819, 69355, 10676, 42542, 18225, 6, 59919, 105235, 42023, 36324, 119055, 12483, 1285, 116486, 73215, 34079, 185758, 18415, 137, 20961, 1982, 54260, 96986, 155, 4838, 203326, 13845, 657, 141847, 6093, 4, 21923, 805, 116486, 8300, 35596, 3120, 220224, 132025, 8903, 105235, 20911, 5, 2865, 48904, 107581, 364, 54260, 4852, 44779, 151614, 1982, 12483, 4838, 81444, 20911, 29766, 199145, 107776, 130170, 46464, 4944, 12483, 12415, 874, 54260, 2648, 44779, 2819, 95298, 220224, 1211, 130170, 4852, 18340, 17310, 3056, 6, 47351, 1470, 75230, 75578, 21066, 4113, 10813, 710, 30750, 92500, 4838, 55242, 46244, 9915, 109316, 5, 26612, 203326, 13845, 17190, 506, 136108, 54260, 30750, 48706, 40096, 710, 175483, 5, 292, 3120, 190, 84701, 112216, 10918, 35596, 12483, 119718, 120467, 21923, 10213, 506, 183512, 13845, 2882, 6235, 119718, 29766, 12483, 6, 159696, 8903, 1211, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 4, 506, 64260, 18225, 6235, 17268, 49008, 152, 874, 114436, 4, 361, 11648, 9424, 119718, 40697, 1211, 611, 2200, 387, 6, 101328, 46244, 4, 1662, 12012, 9424, 119718, 40697, 1211, 952, 2200, 714, 6, 101328, 46244, 4, 11937, 304, 9424, 119718, 40697, 1211, 1381, 2200, 496, 6, 101328, 46244, 2819, 22680, 75230, 12483, 4, 138, 11648, 9424, 119718, 40697, 1211, 611, 2200, 387, 6, 101328, 46244, 4, 6, 152463, 9424, 119718, 40697, 1211, 952, 2200, 2588, 6, 101328, 46244, 4, 1381, 1019, 9424, 119718, 40697, 1211, 1381, 2200, 496, 6, 101328, 46244, 5, 182261, 4, 199145, 6, 48904, 69801, 48904, 98833, 20315, 2050, 21422, 119718, 15350, 29659, 183512, 21923, 3120, 1285, 1470, 75230, 12890, 8903, 112216, 10918, 35596, 12483, 6235, 159696, 1211, 874, 114436, 4, 44478, 93975, 112311, 4, 45521, 17800, 54260, 45629, 18415, 18415, 1702, 2525, 4, 5950, 159390, 12661, 2819, 32054, 75230, 12483, 44478, 93975, 6, 192531, 4, 45521, 17800, 54260, 2442, 174121, 2248, 304, 4, 5950, 83811, 2510, 5, 69355, 71725, 130170, 46464, 4944, 18415, 137, 22426, 23173, 1644, 29766, 364, 54260, 168155, 155, 21923, 387, 6235, 159696, 1211, 836, 22426, 90848, 73215, 34079, 10918, 68558, 48636, 2702, 35596, 93975, 4, 2248, 1470, 54260, 1211, 2648, 39083, 23173, 196332, 4, 305, 9424, 238144, 2648, 39083, 23173, 196332, 2200, 4442, 219044, 6293, 92500, 6, 26394, 42023, 2648, 39083, 23173, 196332, 5, 95298, 1285, 116486, 22426, 29766, 42180, 3120, 30109, 48904, 15307, 54260, 96986, 68313, 7243, 19302, 114436, 2205, 1285, 137, 1982, 13159, 123073 ]

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

[ 155, 163139, 2205, 1285, 12023, 186461, 123073, 364, 54260, 4852, 44779, 5, 2808, 54260, 1211, 45521, 506, 44478, 3056, 56170, 47351, 2205, 6, 144295, 104149, 6, 229340, 2200, 4151, 8580, 4151, 4484, 35596, 51723, 36324, 8947, 10498, 87442, 7265, 6319, 71577, 15907, 21106, 34533, 152185, 84087, 84577, 2442, 137377, 710, 152, 8947, 46464, 40920, 1470, 54260, 5666, 72631, 16870, 12483, 10676, 71107, 36324, 1285, 34482, 170355, 107581, 3120, 4151, 116486, 73215, 34079, 10918, 68558, 3056, 7243, 6319, 54260, 1211, 3373, 29771, 10918, 21106, 4113, 4, 36324, 22753, 37826, 42493, 36324, 75230, 3069, 6, 80264, 7265, 26, 1211, 31249, 91595, 12483, 5332, 88660, 113889, 123103, 12483, 3069, 29659, 183512, 3120, 4151, 32054, 75230, 199145, 45521, 24152, 75230, 23741, 4852, 18167, 2200, 3120, 10676, 6, 212915, 199145, 6319, 75230, 23741, 22753, 4, 163139, 7265, 4151, 4838, 68697, 54260, 2882, 3120, 1285, 22426, 90848, 73215, 2882, 92866, 24001, 16667, 37271, 41643, 506, 16847, 2004, 199145, 364, 21106, 96986, 230764, 2200, 45521, 93509, 80453, 54260, 96986, 4484, 171127, 32792, 10676, 364, 183512, 13845, 5, 38, 1470, 215558, 5, 7508, 5, 3523, 5, 163139, 1644, 75386, 68558, 3120, 84087, 93704, 13845, 7916, 2808, 3373, 37016, 25207, 16932, 3120, 4151, 37271, 75322, 89184, 78683, 59461, 45521, 35189, 26612, 10918, 68558, 3120, 73095, 13805, 87637, 46677, 23269, 2004, 37826, 10213, 119718, 710, 104149, 36324, 95766, 1285, 6, 59919, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 21923, 43649, 186797, 56170, 47351, 6, 159696, 110317, 80885, 16667, 9508, 4, 758, 2839, 6, 73381, 35596, 149010, 116486, 73215, 34079, 185758, 18415, 4, 2200, 76961, 119055, 6093, 12483, 132025, 8903, 105235, 20911, 24621, 46244, 123073, 874, 39083, 7265, 119055, 114436, 40697, 30109, 48904, 15307, 54260, 96986, 5, 874, 114436, 160751, 12483, 1470, 75230, 96743, 75230, 6293, 220224, 44917, 76216, 35596, 3120, 2668, 6, 123559, 68558, 81444, 1644, 23173, 4838, 6, 101328, 46244, 5, 1470, 75230, 101608, 20315, 2050, 4852, 171428, 56170, 47351, 6, 159696, 110317, 80885, 16667, 3069, 29434, 54260, 10213, 506, 186955, 65482, 116486, 73215, 34079, 2808, 54196, 73381, 23173, 148932, 5332, 55823, 177282, 88680, 4, 95455, 364, 54260, 16803, 6, 159696, 110317, 80885, 16667, 2445, 4, 910, 1197, 4, 418, 10213, 506, 186955, 65482, 116486, 73215, 34079, 185758, 18415, 4, 119055, 13845, 107581, 6, 59919, 10069, 171428, 1470, 75230, 4667, 6, 23173, 88680, 4082, 123559, 68558, 81444, 1644, 23173, 4838, 6, 101328, 46244, 5, 3373, 26, 95766, 119055, 20961, 3131, 54260, 5666, 32792, 36324, 20033, 160751, 12483, 1470, 75230, 2702, 24621, 46244, 163139, 17287, 6, 123559, 68558, 81444, 1644, 23173, 4838, 6, 101328, 46244, 56170, 116486, 73215, 34079, 185758, 18415, 2200, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 4, 7243, 21776, 4944, 43178, 186797, 1285, 46654, 4113, 8903, 3120, 1285, 34072, 152848, 4, 4269, 54260, 80885, 131002, 48904, 39340, 2200, 6, 195054, 20616, 188201, 4, 199145, 6, 104378, 3120, 1285, 39293, 70695, 5666, 52671, 54260, 96986, 5, 20033, 145813, 141943, 12483, 177274, 2702, 6, 101328, 46244, 3576, 6, 123559, 68558, 81444, 1644, 23173, 56170, 25222, 160687, 8903, 4, 6, 21106, 88660, 506, 39083, 40697, 6235, 23822, 135118, 4113, 2200, 28797, 6, 123559, 68558, 56170, 6, 57277, 1982, 92605, 4, 159696 ]

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

[ 1644, 107581, 21923, 137, 10069, 32054, 54260, 16747, 3120, 116486, 73215, 34079, 10918, 68558, 2909, 2808, 1470, 1470, 95766, 70351, 37826, 7746, 1285, 4269, 48904, 26394, 6, 75322, 89184, 78683, 59461, 41764, 25207, 36419, 4, 1285, 6, 73381, 35596, 149010, 874, 54260, 3111, 23405, 4, 163139, 1470, 75230, 4667, 1285, 21776, 2932, 9221, 17310, 3120, 234917, 1751, 57277, 2808, 96986, 3120, 10676, 212394, 10213, 36326, 23741, 176727, 7265, 4151, 10339, 48775, 8903, 3120, 116486, 73215, 34079, 10918, 68558, 5, 1285, 21776, 7201, 29766, 51723, 199145, 18225, 119055, 29060, 23165, 1470, 54260, 5666, 111684, 25207, 1211, 119055, 109316, 1211, 162926, 7243, 14856, 46244, 109589, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 506, 13845, 55823, 1211, 137, 119718, 710, 4838, 16175, 75230, 96986, 27702, 20260, 13159, 2004, 6, 238144, 1644, 220224, 119055, 109316, 1211, 81444, 4667, 43449, 75230, 4852, 220224, 1211, 27, 25207, 7201, 29766, 51723, 4, 6, 238144, 1644, 220224, 119055, 109316, 1211, 6319, 54260, 1211, 9721, 37016, 109316, 7243, 564, 54260, 226112, 8903, 1211, 3069, 4151, 59919, 7511, 40920, 17310, 3120, 1285, 34482, 170355, 4944, 12483, 199145, 6, 199511, 3069, 4151, 6, 87311, 35189, 59461, 160238, 2050, 69355, 116486, 73215, 34079, 10918, 68558, 5, 220224, 119055, 109316, 1211, 7243, 4838, 159696, 4484, 101470, 1285, 16175, 17645, 55823, 3373, 29771, 10918, 21106, 4113, 34482, 170355, 4944, 12483, 7265, 119055, 13845, 107581, 22753, 3056, 10339, 139365, 88917, 12483, 2819, 220224, 119055, 109316, 1211, 7243, 8903, 1982, 12483, 76961, 32054, 75230, 12483, 1285, 6235, 28726, 8903, 5927, 54260, 2882, 3069, 6, 59919, 10069, 49008, 230764, 76961, 2702, 199145, 4852, 54260, 6428, 23173, 55823, 1211, 2819, 220224, 119055, 109316, 1211, 7243, 67882, 4944, 12483, 1285, 32054, 75230, 67882, 16932, 710, 13845, 2190, 22492, 25559, 141847, 18640, 3120, 10676, 6, 212915, 2819, 220224, 119055, 109316, 1211, 7243, 1470, 75230, 42410, 44478, 12483, 1285, 32054, 75230, 12483, 2819, 4852, 54260, 119055, 109316, 1211, 7243, 6, 192539, 12483, 1285, 24012, 13982, 93975, 874, 29766, 21106, 199145, 49920, 29659, 6, 159696, 8903, 1211, 23269, 31249, 91595, 2702, 28726, 1982, 12483, 4, 6, 159696, 8903, 1211, 364, 54260, 2442, 40096, 2200, 6, 159696, 8903, 1211, 4151, 10339, 26612, 123559, 4113, 5, 1285, 2648, 29771, 30473, 8903, 21776, 7201, 29766, 51723, 119055, 109316, 1211, 1470, 75230, 4667, 7243, 160751, 12483, 10676, 6, 212915, 1285, 14856, 97594, 4944, 4484, 54260, 2882, 3069, 364, 54260, 45629, 96986, 119055, 12483, 7369, 3056, 7508, 54260, 6293, 4, 220224, 119055, 109316, 1211, 1470, 30682, 7243, 6, 199511, 6319, 54260, 1211, 3944, 40920, 6, 159696, 8903, 1211, 1285, 74806, 1644, 91595, 149010, 10213, 32670, 109226, 2200, 6, 159696, 8903, 1211, 1285, 36419, 13805, 905, 109316, 30109, 48904, 15307, 54260, 96986, 5, 29771, 75578, 3523, 31623, 32792, 4, 55242, 46244, 3523, 31623, 32792, 21923, 4151, 238144, 1644, 1285, 21776, 124740, 96256, 96986, 69355, 1285, 130170, 46464, 4944, 109226, 199145, 21923, 6235, 101296, 40920, 6235, 119718, 29766, 12483, 4, 6, 238144, 1644, 220224, 8300, 54260, 8903, 1211, 7243, 6, 104985, 194706, 4, 7243, 6, 104985, 1285, 6, 48775, 103023, 21106, 4113, 14856, 110970, 12483, 199145, 6, 238144, 2702, 12483, 13159, 1751, 75230, 1211, 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, 71804, 23405, 4, 95298, 1470, 75230, 4667, 1285, 221895, 4, 1285, 34072, 152848, 199145, 34076, 75230, 1982, 12483, 95766, 4151, 6, 61397, 91595, 18640, 4484, 54260, 2882, 3120, 4151, 364, 54260, 13497, 161459, 123736, 38054, 3111, 23405, 4, 6150, 1470, 54260, 23269, 3120, 10069, 364, 75230, 22426, 2882, 63864, 170355, 4944, 12483, 3120, 116486, 73215, 34079, 10918, 68558, 3056, 1285, 5332, 88660, 113889, 2865, 40697, 6, 71804, 8903, 69355, 4151, 32054, 75230, 5, 1285, 130170, 46464, 4944, 17310, 3056, 36324, 75230, 3523, 31623, 32792, 163139, 8947, 3056, 6, 75322, 39083, 119718, 710, 40920, 18640, 3069, 6, 59919, 78683, 153222, 1211, 1285, 6, 23173, 69801, 2200, 1470, 75230, 7201, 72631, 5594, 25207, 1211, 10676, 67826, 20260, 141943, 12483, 63259, 7611, 199145, 37826, 7746, 132025, 8903, 235210, 13845, 2882, 7369, 8903, 7611, 2205, 4838, 163139, 20260, 13845, 69355, 4838, 364, 75230, 6293, 5, 6, 64260, 21923, 4838, 117902, 2442, 564, 54260, 3131, 22426, 710, 109316, 3120, 10339, 129071, 12483, 199145, 151614, 1982, 12483, 7746, 6, 23173, 75230, 2702, 2932, 21660, 54260, 13497, 564, 54260, 4151, 6235, 28726, 8903, 5927, 54260, 2882, 3120, 4151, 123736, 7916, 42180, 44478, 10705, 13497, 6093, 119718, 4944, 17310, 2702, 88660, 189098, 710, 68558, 3120, 7213, 78683, 113889, 152, 10069, 224220, 710, 21087, 68558, 37826, 1470, 75230, 2702, 8903, 506, 77188, 64699, 76961, 1285, 199145, 151614, 1982, 12483, 3131, 54260, 14540, 3069, 4151, 116486, 73215, 34079, 10918, 68558, 152, 116486, 73215, 34079, 185758, 18415, 4, 4838, 68697, 54260, 16932, 2865, 54260, 2648, 44779, 4, 43393, 10954, 448, 3120, 17824, 75230, 36419, 83066, 51723, 119055, 10705, 1285, 4838, 68697, 54260, 16932, 874, 54260, 2648, 44779, 21923, 132025, 190135, 5, 4151, 9424, 159696, 4484, 3120, 4151, 130170, 46464, 4944, 17310, 3056, 8903, 159696, 1211, 3069, 6235, 7916, 49008, 4838, 6, 147713, 21106, 12483, 17824, 88917, 9747, 3069, 9424, 119718, 710, 183216, 1285, 43393, 13780, 609, 448, 103854, 4838, 6235, 39293, 7611, 4, 1285, 32054, 75230, 12483, 3069, 9424, 29771, 54574, 12483, 7243, 119055, 76632, 61397, 163139, 4838, 6235, 119718, 21292, 12483, 160059, 2865, 21106, 12483, 4838, 68697, 54260, 2882, 35044, 75230, 42023, 2819, 1285, 10339, 39083, 23269, 3120, 215031, 6235, 39293, 7611, 4, 6428, 135118, 12483, 22426, 90848, 73215, 34079, 10918, 68558, 63652, 10069, 21776, 7201, 29766, 101296, 205416, 12483, 4, 119055, 29060, 220224, 1211, 4838, 45521, 155045, 83182, 17310, 3120, 4151, 9424, 29771, 54574, 116486, 73215, 34079, 185758, 18415, 5, 26612, 3373, 4667, 116486, 73215, 34079, 185758, 18415, 151614, 1982, 12483, 4151, 224220, 710, 21087, 68558, 4151, 26394, 506, 21295, 36324, 4852, 54260, 21923, 4838, 90848, 1982, 8903, 7201, 21106, 12483, 43449, 75230, 4852, 4151, 7201, 23173, 6, 238144, 1644, 4838, 75386, 19532, 1982, 54260, 16932, 710, 49008, 506, 64260, 18225, 220224, 36324, 75230, 6, 159696, 110317, 6235, 36723, 76216, 21295, 36324, 220224, 151614, 1982, 12483, 4151, 69355, 7243, 8903, 4484, 35596, 17190, 1982, 12483, 5, 874, 48904, 107581, 3120, 1285, 6, 123559, 239162, 32206, 39340, 43393, 13780, 609, 448, 199145, 4852, 171428, 7508, 54260, 4667, 6235, 119718, 29766, 12483, 3120, 4838, 68697, 54260, 16932, 874, 54260, 2648, 44779, 151614, 1982, 12483, 7746, 6235, 119718, 10705, 83182, 2882, 36324, 18225 ]

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

[ 45521, 111996, 16747, 29060, 1285, 116486, 73215, 34079, 10918, 68558, 7265, 10676, 3523, 9221, 215206, 12483, 2702, 21106, 23173, 710, 2819, 874, 48904, 107581, 151614, 1982, 12483, 3069, 8903, 8903, 1982, 12483, 36324, 220224, 119055, 39083, 96986, 657, 54260, 40920, 241997, 45521, 48974, 25207, 101608, 12483, 1285, 193042, 71804, 12415, 4, 6, 104985, 137, 46598, 3056, 7243, 6, 80453, 129071, 13456, 2909, 2808, 54260, 1211, 107189, 101328, 59461, 37826, 6235, 225975, 2882, 36324, 4838, 874, 54260, 20315, 1644, 42542, 17190, 1982, 12483, 7265, 26612, 40920, 81444, 1644, 23173, 4838, 119055, 29771, 4667, 2819, 37826, 18225, 1470, 30682, 6235, 22680, 4113, 98833, 1470, 75230, 1982, 7369, 17190, 47332, 144754, 215031, 45495, 24621, 5, 6, 47351, 221895, 2442, 107189, 101328, 59461, 37826, 6235, 8300, 54260, 98833, 36324, 220224, 1211, 83066, 101296, 37826, 2205, 6, 101328, 46244, 62977, 6, 59919, 12415, 35596, 9424, 159696, 108968, 6, 123559, 68558, 81444, 1644, 23173, 2819, 119055, 12483, 51723, 37826, 95298, 6, 61397, 25046, 12483, 1470, 54260, 23269, 3120, 1285, 564, 54260, 1470, 30682, 132025, 190135, 4113, 22680, 75230, 12483, 4, 37826, 22753, 6235, 8300, 54260, 98833, 2205, 199145, 56170, 6, 47351, 6, 29766, 141564, 54260, 2882, 22753, 37826, 6235, 28726, 47332, 7265, 1285, 190, 81444, 1644, 23173, 4838, 119055, 29771, 4667, 199145, 18225, 37826, 9213, 46244, 6235, 36723, 76216, 21295, 5, 10069, 1751, 159696, 25207, 4838, 68697, 54260, 2882, 4, 1285, 2190, 5666, 190386, 710, 4944, 4484, 54260, 2882, 7746, 3069, 6319, 75230, 55823, 1211, 6, 48904, 29659, 186797, 4113, 19302, 54260, 35189, 4, 95455, 620, 91595, 4113, 8947, 12483, 4, 1285, 7544, 39293, 48775, 130929, 10213, 506, 183512, 1644, 17310, 564, 54260, 35189, 4838, 68697, 54260, 2882, 27, 4838, 67882, 24621, 6, 47351, 5950, 58082, 2200, 4838, 1470, 23174, 123073, 1751, 159696, 82576, 144754, 10676, 6235, 119425, 1470, 75230, 2702, 13342, 506, 21106, 96986, 27, 10069, 224220, 710, 21087, 68558, 129165, 98833, 1470, 54260, 1211, 107189, 101328, 59461, 163139, 7916, 13845, 7369, 119055, 29060, 7038, 104149, 37271, 13342, 147713, 12483, 155, 119055, 12483, 7369, 170479, 9424, 29771, 54574, 12483, 220224, 23269, 19532, 1982, 54260, 16932, 100810, 4838, 6, 236749, 3120, 1019, 81444, 1644, 23173, 6, 159696, 4944, 35596, 32792, 5, 137, 966, 29213, 81444, 1644, 23173, 4838, 6, 101328, 46244, 2004, 6, 35596, 59919, 2882, 7369, 5, 2451, 137, 92500, 163139, 7916, 13845, 116486, 7916, 2882, 37826, 9213, 46244, 4838, 6, 101328, 46244, 6, 24846, 292, 137, 95766, 141879, 1211, 101328, 46244, 3056, 4151, 116486, 7916, 2882, 6235, 159696, 1211, 2445, 4, 966, 1197, 4, 304, 81444, 1644, 23173, 2909, 268, 10114, 1470, 26612, 32054, 48904, 8300, 75230, 4852, 152185, 6, 23173, 56169, 4, 29434, 5, 186046, 12483, 10069, 3131, 40096, 109316, 4, 37826, 56170, 6, 29060, 7972, 30750, 6, 101328, 46244, 130170, 46464, 40920, 564, 54260, 19692, 116486, 73215, 34079, 185758, 18415, 1285, 34482, 170355, 4944, 12483, 119718, 120467, 151614, 1982, 12483, 220224, 160751, 48775, 40920, 3069, 220224, 6093, 3069, 29659, 183512, 5, 7369, 37826, 1470, 75230, 2702, 8903, 17268, 49008, 36324, 152, 616, 2839, 21923, 4151, 13342, 6, 130991, 37729, 7243, 151614, 1982, 12483, 7265, 119718, 120467, 3069, 17190, 1982, 12483, 2819, 427, 2525, 21923 ]

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

[ 6, 225975, 20961, 6235, 159696, 1211, 2205, 165592, 26612, 6, 71804, 8903, 36324, 220224, 85465, 200117, 12483, 6235, 192575, 2882, 119055, 6093, 12483, 116486, 73215, 34079, 185758, 18415, 4, 119055, 12483, 7243, 119055, 39083, 96986, 220224, 77344, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 8903, 159696, 1211, 74806, 205416, 1982, 12483, 56170, 364, 17310, 6093, 2819, 496, 4, 9747, 1470, 75230, 7201, 13342, 506, 21106, 96986, 1470, 54260, 24621, 6, 21106, 18415, 895, 16932, 12483, 2819, 59404, 4, 6, 238144, 1644, 220224, 123073, 657, 17645, 25559, 29771, 75578, 151614, 1982, 12483, 220224, 59919, 212484, 12483, 2819, 4082, 21923, 6, 59919, 111684, 33716, 6235, 119718, 29766, 12483, 3120, 123736, 7916, 138194, 12483, 2200, 2702, 39083, 94741, 96986, 2819, 1781, 21923, 6, 59919, 212484, 12483, 6235, 119718, 29766, 12483, 220224, 186797, 1751, 119718, 48904, 61397, 5, 10069, 9424, 29771, 54574, 32054, 75230, 12483, 199145, 21923, 162926, 6235, 8300, 119718, 2808, 109226, 6235, 119718, 29766, 12483, 3069, 119055, 6093, 12483, 22426, 90848, 73215, 34079, 185758, 18415, 3056, 6, 21106, 4852, 29771, 1438, 5757, 5, 3120, 1285, 9213, 73375, 8903, 21923, 119055, 101503, 54260, 5666, 32792, 1470, 75230, 4667, 1285, 14856, 46244, 80885, 4151, 13342, 6235, 8300, 119718, 2808, 109226, 6235, 119718, 29766, 12483, 103854, 1285, 3373, 29771, 10918, 21106, 4113, 101251, 105235, 16747, 12483, 5, 8947, 43449, 54260, 1982, 12483, 6, 104985, 30535, 84475, 7221, 119718, 120467, 21923, 162926, 6235, 119718, 29766, 12483, 116486, 73215, 34079, 185758, 18415, 32054, 54260, 119718, 710, 186461, 5, 8903, 31249, 91595, 131002, 48904, 15307, 54260, 96986, 13159, 21923, 81444, 29434, 54260, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 96986, 152, 4151, 81414, 149364, 4, 35189, 6, 238144, 104238, 1751, 48904, 75290, 4, 34654, 15857, 46590, 710, 4944, 5, 3120, 6, 143409, 10339, 147713, 18225, 220224, 6, 59919, 159696, 13805, 1644, 12483, 1470, 54260, 23269, 7265, 4151, 221895, 2442, 2200, 1751, 109636, 16932, 4, 119055, 12483, 18225, 37826, 59919, 3131, 57277, 49008, 6150, 220224, 21923, 29434, 54260, 45521, 93509, 63188, 65482, 70695, 20260, 506, 54260, 96986, 4, 37826, 51723, 125523, 4838, 1751, 46545, 9424, 54260, 2882, 6235, 20315, 185226, 36324, 220224, 51678, 40653, 8903, 42023, 1470, 54260, 23269, 2205, 10069, 221895, 4, 36324, 3120, 4838, 81414, 149364, 4, 77985, 4, 6319, 68558, 119055, 6093, 12483, 15857, 46590, 21292, 2200, 10705, 2865, 8903, 39340, 506, 33716, 5, 8947, 3056, 95455, 6, 59919, 12415, 172398, 2882, 3120, 7508, 6093, 32054, 48904, 10918, 4852, 152185, 24621, 10069, 10918, 7511, 86733, 131397, 3069, 151614, 1982, 12483, 1470, 75230, 2702, 8903, 22426, 1644, 171433, 16932, 2882, 1285, 39293, 29434, 54260, 70695, 20260, 506, 54260, 96986, 4, 3069, 151614, 1982, 12483, 6235, 8300, 54260, 98833, 6150, 220224, 21923, 17824, 88917, 59919, 16629, 6093, 12483, 1470, 54260, 23269, 69355, 1285, 221895, 2200, 3069, 151614, 1982, 12483, 6235, 8300, 54260, 98833, 36324, 220224, 51678, 6319, 54260, 5666, 2865, 39083, 7243, 2808, 88680, 8903, 42023, 1470, 54260, 23269, 2205, 1285, 221895, 5, 10069, 4269, 171433, 29766, 4113, 4113, 5, 132, 2648, 120467, 119055, 99766, 4269, 171433, 29766, 4113, 4113, 107776, 3120, 137, 2932, 171433, 710, 155, 235210, 12483, 2200, 37271, 2442, 68438, 155 ]

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

[ 12415, 49008, 4, 6, 238144, 1644, 6, 119859, 28726, 68380, 4, 1470, 54260, 59461, 3120, 1285, 10339, 64260, 93497, 3120, 35189, 14856, 10069, 10918, 1211, 4, 199145, 37826, 7508, 6093, 30109, 48904, 15307, 54260, 2882, 6235, 8903, 1982, 12483, 21776, 2050, 6, 113889, 51723, 4, 37826, 61397, 135118, 2882, 36324, 1285, 67882, 16932, 17645, 199145, 46654, 34533, 6, 23173, 75230, 2702, 3056, 6, 235210, 12483, 5, 18225, 22444, 23741, 10069, 30109, 48904, 15307, 54260, 2882, 1470, 75230, 4667, 43449, 43178, 5666, 29766, 17800, 26612, 25222, 4, 3120, 137, 17160, 43178, 22492, 155, 31249, 54260, 2050, 4, 119055, 13845, 4944, 13159, 564, 21660, 54260, 4944, 35596, 1470, 75230, 4667, 42493, 95455, 6, 120749, 93975, 163825, 4, 36324, 75230, 163139, 13159, 3056, 194706, 564, 37016, 84577, 364, 54260, 13497, 13342, 97634, 2932, 5, 16, 35189, 81414, 149364, 84475, 1285, 4269, 171433, 29766, 4113, 4113, 3056, 1285, 5960, 874, 54260, 80885, 1211, 45521, 48974, 171433, 29766, 4113, 4113, 133249, 3131, 80453, 54260, 18415, 30109, 48904, 15307, 54260, 2882, 564, 54260, 874, 114436, 5, 9213, 46244, 6, 238144, 16803, 81444, 4667, 163139, 1751, 57277, 24152, 87311, 59094, 12483, 3056, 45521, 93509, 80453, 54260, 2882, 2819, 20632, 4, 4151, 81414, 149364, 107776, 125523, 6, 87311, 59094, 12483, 5, 59919, 506, 13845, 2882, 99611, 195164, 18640, 119055, 76632, 8903, 7369, 119718, 92605, 2702, 65482, 874, 114436, 3120, 1285, 21422, 119718, 15350, 15533, 9221, 18415, 657, 192539, 151614, 1982, 12483, 7243, 6235, 7972, 96986, 3120, 4151, 4269, 171433, 29766, 4113, 4113, 5, 3120, 76961, 25616, 48904, 15307, 54260, 96986, 3120, 119055, 13845, 107581, 1285, 874, 114436, 657, 54260, 20315, 1211, 4, 74806, 1644, 91595, 149010, 2200, 219947, 74806, 1644, 91595, 149010, 4, 67882, 40920, 4151, 81414, 149364, 1470, 75230, 2702, 4948, 6, 149364, 8300, 35596, 5, 95455, 506, 54260, 16803, 4, 9747, 1285, 6, 170355, 4667, 6, 59919, 105235, 47526, 710, 104238, 3069, 67882, 4944, 12483, 4, 36324, 18225, 235466, 4382, 4484, 48775, 20260, 3120, 76961, 2442, 1644, 54260, 30109, 48904, 15307, 54260, 96986, 4, 21923, 9424, 119718, 40697, 1211, 220224, 30463, 6319, 48775, 20260, 69355, 81414, 149364, 5, 1982, 54260, 32054, 75230, 12483, 107776, 1285, 30109, 48904, 15307, 54260, 2882, 36324, 75230, 123736, 23741, 160238, 4, 36324, 4, 125523, 1285, 137377, 15231, 2865, 34533, 40697, 80885, 123736, 56703, 21660, 109226, 4, 125523, 1285, 4269, 171127, 18640, 80885, 48706, 40096, 710, 175483, 12483, 4, 657, 54260, 20315, 1211, 14856, 46244, 163139, 209, 116486, 8300, 35596, 32054, 75230, 12483, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 84475, 69355, 10339, 39083, 8903, 1211, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 5, 92500, 81444, 874, 54260, 49008, 20033, 42493, 1285, 116486, 73215, 34079, 185758, 18415, 2819, 292, 220224, 151614, 1982, 12483, 2648, 29771, 4667, 76961, 1285, 30109, 48904, 15307, 54260, 2882, 5, 20033, 874, 54260, 49008, 34654, 6235, 159696, 506, 5666, 149010, 32054, 75230, 12483, 4, 24621, 46244, 80885, 16667, 1285, 45521, 17800, 54260, 45629, 18415, 18415, 4, 1285, 32054, 75230, 12483, 199145, 18225, 364, 186955, 56170, 48904, 29659, 186797, 4113, 4, 56170, 5332, 46244, 149010, 5, 2200, 220224, 21923, 6, 57277, 39340, 6, 48904, 29659, 186797, 4113, 4, 20315, 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 ]

[ 151614, 1982, 12483, 220224, 6093, 12483, 81414, 149364, 6235, 4484, 90848, 8903, 1211, 3120, 220224, 123073, 1470, 54260, 2932, 65482, 874, 114436, 5, 21106, 4852, 29771, 4, 6, 105235, 21295, 9213, 46244, 7746, 160238, 95455, 163825, 32, 9213, 46244, 10213, 236376, 10069, 14856, 110970, 12483, 190800, 8903, 42023, 230764, 4151, 4269, 59929, 5, 9213, 46244, 55242, 506, 2882, 805, 874, 114436, 7201, 23173, 1982, 54260, 8903, 42023, 292, 6, 23173, 88680, 4948, 3120, 220224, 151614, 1982, 12483, 84475, 151614, 1982, 12483, 6235, 506, 40096, 4838, 65848, 149364, 5, 9213, 46244, 55242, 506, 2882, 805, 32054, 75230, 12483, 160238, 1982, 54260, 8903, 42023, 4, 292, 209, 84475, 427, 3120, 4852, 54260, 151614, 1982, 12483, 4838, 81414, 149364, 84475, 1285, 10339, 39083, 8903, 1211, 4151, 69355, 5, 69355, 76961, 32054, 75230, 12483, 199145, 6, 104378, 7746, 10213, 506, 183512, 1644, 12483, 564, 54260, 2050, 81444, 20911, 29766, 2200, 95766, 145813, 15907, 39083, 6, 159696, 8903, 1211, 81414, 149364, 84475, 6, 159696, 8903, 1211, 1285, 10339, 39083, 8903, 1211, 3120, 4151, 25616, 48904, 15307, 54260, 2882, 4, 21923, 2358, 116486, 8300, 35596, 45521, 17800, 54260, 2442, 174121, 18415, 4, 21776, 150349, 37016, 57277, 130929, 22680, 75230, 12483, 4, 199145, 21923, 132025, 8903, 105235, 20911, 6235, 119718, 29766, 12483, 3120, 220224, 123073, 874, 114436, 5, 2808, 54260, 23269, 3120, 1285, 10339, 39083, 8903, 1211, 3120, 4269, 171433, 29766, 4113, 4113, 564, 54260, 32054, 75230, 12483, 2200, 564, 54260, 874, 114436, 68313, 1285, 6, 82576, 15350, 131044, 4, 1285, 2190, 5666, 141562, 40920, 1982, 23173, 4484, 54260, 2882, 4, 1285, 2190, 5666, 2865, 43178, 7972, 4944, 4484, 54260, 2882, 3069, 85465, 200117, 12483, 114955, 5, 3120, 364, 88917, 77188, 48706, 89184, 28726, 364, 54260, 48775, 96986, 4, 3120, 364, 88917, 77188, 37271, 22426, 29766, 10339, 39083, 4484, 155, 199145, 151614, 1982, 12483, 7243, 6319, 54260, 1211, 114955, 4, 151614, 1982, 12483, 2678, 3069, 45521, 38054, 48904, 165354, 220224, 6093, 2190, 5666, 141562, 40920, 1982, 23173, 4484, 54260, 2882, 152, 6, 7961, 4151, 4269, 171433, 29766, 4113, 4113, 5, 81764, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 69355, 16503, 32054, 75230, 12483, 7265, 4269, 171433, 29766, 4113, 4113, 84475, 7265, 10339, 39083, 8903, 1211, 4151, 69355, 4, 21923, 2451, 125523, 6, 47351, 130170, 46464, 4944, 17310, 4, 292, 7218, 6235, 159696, 104149, 10339, 39083, 29659, 186797, 6, 82576, 15350, 4, 2648, 5, 364, 5, 220224, 151614, 1982, 12483, 220273, 7243, 6235, 506, 40096, 6319, 54260, 1211, 1470, 54260, 109985, 192544, 4, 3496, 64260, 3131, 220224, 85465, 200117, 12483, 6235, 119718, 39083, 2882, 151614, 1982, 12483, 5, 1285, 40653, 93975, 2789, 151614, 1982, 12483, 76961, 2205, 1470, 54260, 119132, 8903, 506, 40096, 5606, 114955, 5, 2808, 54260, 23269, 3120, 1285, 10339, 39083, 8903, 1211, 3120, 81414, 149364, 21923, 1751, 159696, 25207, 1470, 75230, 8903, 1211, 35596, 10918, 16747, 109226, 564, 54260, 3523, 54260, 8903, 1982, 75230, 2442, 65482, 114955, 5, 123736, 23741, 6, 186145, 23741, 7746, 36324, 1285, 114955, 4852, 39083, 12483, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 34072, 16747, 119055, 6093, 12483, 5, 20632, 4, 21776, 4944, 35596, 18225, 36324 ]

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

[ 66633, 4, 183512, 123073, 220771, 12483, 6150, 387, 78278, 496, 116486, 8300, 35596, 3120, 76961, 34072, 152848, 69355, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 151614, 1982, 12483, 3069, 45521, 38054, 48904, 165354, 220224, 6093, 46711, 75230, 6093, 93975, 1211, 3069, 29659, 93047, 292, 4151, 4269, 171433, 29766, 4113, 4113, 199145, 220224, 123073, 15864, 195164, 151614, 1982, 12483, 6235, 506, 40096, 2205, 4151, 9424, 54260, 2882, 3120, 4151, 6, 35596, 12890, 16747, 17310, 2200, 199145, 1285, 67882, 195164, 151614, 1982, 12483, 6235, 4484, 90848, 8903, 1211, 3120, 220224, 123073, 874, 114436, 5, 2200, 10213, 46685, 20911, 36324, 1285, 9424, 29771, 54574, 90536, 152848, 3056, 7243, 6319, 54260, 1211, 19302, 54260, 23269, 152, 2205, 100439, 21923, 6235, 159696, 1211, 2205, 1285, 59919, 2808, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 836, 617, 1662, 34072, 152848, 4, 34072, 152848, 3120, 76961, 2442, 1644, 54260, 34482, 170355, 4944, 12483, 5, 10069, 4269, 171433, 29766, 4113, 4113, 3056, 4838, 30109, 48904, 15307, 54260, 2882, 199145, 17824, 54260, 23741, 6, 68558, 1285, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 5, 1470, 75230, 4667, 221895, 16175, 54260, 1644, 12483, 3120, 26, 2050, 14856, 110970, 149010, 1211, 6, 75290, 149364, 51678, 132025, 8903, 105235, 20911, 119055, 6093, 12483, 3120, 9213, 46244, 4, 6, 104985, 95455, 3056, 55242, 1644, 96986, 5, 51723, 6235, 7916, 13497, 1285, 30109, 48904, 15307, 54260, 2882, 14856, 46244, 80885, 16667, 564, 54260, 4231, 17310, 4113, 657, 54260, 2882, 4, 95298, 30473, 67882, 40920, 1470, 75230, 4667, 123736, 23741, 4838, 564, 48350, 31212, 564, 54260, 895, 16932, 4113, 874, 114436, 5, 32054, 75230, 12483, 151614, 1982, 12483, 30473, 3523, 40096, 9221, 32792, 119055, 76632, 61397, 5, 15, 13159, 6, 59919, 105235, 506, 2882, 7746, 36324, 20033, 21776, 4944, 171428, 81444, 85465, 200117, 12483, 7243, 55242, 1644, 96986, 3069, 657, 54260, 20315, 1211, 3120, 1285, 168155, 22518, 37016, 32792, 2190, 76776, 23405, 65482, 506, 46685, 25616, 54260, 20260, 2819, 220224, 119055, 6093, 12483, 23050, 1982, 18167, 10213, 101080, 56169, 2200, 132025, 8903, 105235, 20911, 3120, 7369, 219947, 6, 23173, 54260, 1211, 1285, 116486, 73215, 34079, 185758, 18415, 247, 1470, 75230, 4667, 114955, 3120, 6, 63188, 12483, 6, 21106, 16932, 119718, 92605, 2702, 65482, 14856, 110970, 12483, 4, 84475, 216333, 6235, 225975, 2882, 3120, 163139, 1644, 20315, 4, 24012, 35189, 93975, 10213, 73215, 13159, 199145, 151614, 1982, 12483, 1285, 6235, 29659, 186955, 3120, 14856, 110970, 12483, 5, 20033, 10213, 46685, 165354, 7201, 29766, 88680, 8903, 506, 186797, 4, 36324, 1285, 132025, 105235, 4484, 17310, 3120, 19302, 54260, 23269, 114955, 44779, 3056, 29771, 23741, 3069, 45521, 38054, 48904, 165354, 10676, 2190, 5666, 113889, 70598, 21106, 12483, 17190, 1982, 12483, 2205, 1285, 17824, 75230, 36419, 116486, 28726, 57277, 12415, 150839, 54260, 168155, 4, 119055, 10705, 18225, 657, 176727, 4, 2205, 874, 48904, 107581, 364, 54260, 168155, 4, 64699, 1470, 54260, 59461, 230764, 10676, 221895, 1211, 4, 6235, 10069, 40920, 1470, 54260, 5666, 8903, 22426, 129071, 163139, 1285, 49920, 23174, 13159, 5, 26612, 3373, 4667, 874, 114436, 119055, 6093, 12483, 7243, 132025, 8903, 44478, 35596, 3120, 1470, 54260, 1211, 874, 39083, 2819, 220224, 84316, 8903, 1211, 1285, 30109 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15307, 54260, 2882, 9424, 238144, 4, 29434, 54260, 84475, 14856, 46244, 123073, 874, 39083, 5, 9213, 73375, 2932, 171433, 29766, 4113, 4113, 117595, 8903, 16667, 212632, 1285, 14856, 110970, 12483, 2205, 4838, 122868, 63593, 54260, 1211, 6, 159696, 110317, 3120, 220224, 123073, 657, 54260, 20315, 1211, 4, 2808, 88680, 506, 75230, 22426, 2882, 2205, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 4, 119055, 10705, 95455, 6, 75578, 9221, 50097, 2702, 3069, 151614, 1982, 12483, 6, 59919, 39340, 46244, 3056, 36324, 75230, 1751, 57277, 24152, 2200, 119055, 77188, 125523, 364, 88917, 77188, 874, 39083, 6, 59919, 29659, 23173, 20911, 3120, 1285, 4838, 1982, 5666, 29766, 24621, 4, 101251, 8903, 46464, 152848, 10213, 218710, 109226, 2205, 119055, 13845, 107581, 62808, 17190, 1982, 12483, 5, 113687, 158548, 2205, 10676, 123736, 23741, 12483, 163139, 35189, 506, 39083, 12483, 3120, 4269, 171433, 29766, 4113, 4113, 564, 54260, 54745, 18553, 39293, 22849, 12483, 6, 212915, 3056, 1470, 75230, 4667, 1285, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 1285, 4231, 17310, 4113, 657, 54260, 2882, 4, 119055, 13845, 107581, 506, 21106, 96986, 1285, 30109, 48904, 15307, 54260, 2882, 56170, 4838, 657, 54260, 4944, 18415, 2200, 657, 54260, 40920, 506, 54260, 22849, 23173, 4113, 5, 2205, 4852, 54260, 6093, 6235, 39293, 139962, 145702, 119055, 77188, 18225, 40653, 506, 75230, 22426, 2882, 220273, 7243, 10213, 210674, 29060, 7201, 23173, 4838, 6, 212915, 4, 163139, 1982, 21106, 2648, 18225, 37826, 7243, 6235, 506, 40096, 3496, 64260, 3131, 1470, 54260, 1211, 874, 39083, 4838, 81414, 149364, 2819, 2200, 4, 8947, 6, 59919, 105235, 506, 2882, 7746, 4, 4151, 17824, 20961, 163139, 40920, 18640, 4484, 54260, 2882, 3120, 10676, 212915, 2200, 4151, 21776, 150349, 87442, 3069, 1470, 30682, 4, 119055, 92605, 16803, 7265, 4151, 9424, 29771, 54574, 4269, 171433, 29766, 25207, 12483, 199145, 7369, 67882, 40920, 37729, 5, 12415, 39293, 137, 13845, 16932, 4113, 4, 7369, 7201, 26612, 506, 189623, 123073, 155, 4231, 17310, 4113, 874, 114436, 212632, 1285, 94626, 83957, 75230, 111137, 119718, 92605, 2702, 65482, 36324, 220224, 137, 11556, 104149, 155, 6235, 42023, 137, 13342, 32054, 75230, 12483, 2004, 95455, 506, 54260, 16803, 3069, 116486, 73215, 105515, 4484, 13159, 4, 6, 238144, 1644, 9934, 171433, 16803, 119055, 109316, 1211, 220224, 6319, 48775, 20260, 119055, 6093, 12483, 5, 92500, 220224, 6235, 506, 12483, 27, 35189, 81414, 149364, 3056, 1470, 54260, 23269, 3120, 1285, 364, 23173, 2882, 23269, 16580, 2932, 80885, 70695, 20260, 506, 54260, 96986, 152, 159696, 1211, 22753, 29434, 23174, 2882, 6, 23173, 54260, 1211, 2205, 4151, 620, 54260, 7758, 75230, 2882, 15, 2648, 120467, 364, 54260, 18415, 1644, 199145, 564, 93704, 87442, 10676, 22639, 6093, 149010, 1211, 16175, 54260, 1644, 16, 3120, 1285, 5332, 31249, 91595, 2702, 29766, 119859, 49008, 4, 3056, 8947, 39293, 46244, 1751, 159696, 2442, 22753, 6, 23173, 75230, 2702, 13342, 23822, 54260, 1982, 12483, 5, 4838, 46590, 905, 2205, 1285, 4269, 171127, 18640, 80885, 6, 61541, 16870, 75230, 77188, 22753, 29434, 54260, 874, 232187, 96986, 2819, 18225, 178748, 21776, 4944, 171428, 55242, 13805, 874, 232187, 96986, 2205, 10069, 14856, 506, 29025, 29771, 54574, 10339, 109316, 2819, 119055, 76632, 61397, 163139, 9424, 238144, 874, 232187 ]

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

[ 96986, 3056, 4838, 55242, 1644, 134727, 54260, 2882, 5, 874, 48904, 4944, 2865, 39083, 119055, 77188, 22753, 30109, 171433, 13456, 2200, 22753, 6428, 75230, 77188, 6, 101328, 46244, 12483, 71804, 23405, 5, 104985, 55242, 46244, 123736, 23741, 3056, 22753, 1751, 75230, 1211, 3120, 6, 71804, 23405, 6235, 506, 54260, 21295, 2200, 1285, 4231, 17310, 4113, 657, 54260, 158652, 171428, 7746, 7508, 120467, 7243, 34076, 75230, 1982, 12483, 2200, 364, 21106, 96986, 7746, 2205, 1470, 54260, 1211, 10213, 506, 183512, 1644, 12483, 74, 95766, 10676, 21923, 1470, 75230, 4667, 131397, 158548, 1285, 10184, 109316, 14856, 10069, 10918, 5666, 40697, 27702, 107829, 96986, 2200, 10069, 29434, 5, 9934, 75230, 2932, 2865, 183718, 199145, 17190, 1982, 12483, 4838, 68550, 2200, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 2200, 69355, 4151, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 3120, 1285, 4231, 17310, 4113, 874, 114436, 5, 9213, 73375, 8903, 16667, 2205, 1470, 75230, 4667, 39293, 46244, 123736, 23741, 1285, 10213, 506, 183512, 1644, 17310, 3120, 1285, 81444, 20911, 75230, 16847, 131397, 158548, 2205, 21776, 2050, 6, 59919, 1644, 141847, 6093, 12483, 3120, 1285, 168155, 30109, 54260, 20260, 2819, 54745, 1211, 4838, 3373, 4667, 81444, 20911, 75230, 16847, 4, 119055, 12483, 220224, 84316, 8903, 1211, 2205, 220224, 123073, 364, 141943, 215031, 30109, 48904, 165354, 4, 21923, 220224, 163139, 1285, 145813, 710, 49008, 4, 54260, 710, 6, 212484, 12483, 1470, 30682, 7243, 6, 23173, 75230, 2702, 78278, 220224, 9934, 75230, 8903, 1211, 1470, 30682, 7243, 2205, 6, 119859, 57619, 12483, 43955, 2442, 6093, 88771, 6, 159696, 8903, 1211, 23050, 3131, 28726, 47332, 2702, 28726, 1982, 12483, 2808, 75230, 2702, 5, 2200, 4, 119055, 12483, 7369, 3056, 1751, 75230, 1211, 14856, 46244, 7243, 6319, 48775, 20260, 4, 105884, 12483, 220224, 1470, 30682, 2808, 54260, 1211, 47833, 7369, 3056, 8947, 125523, 4, 2200, 10213, 506, 183512, 1644, 12483, 1470, 30682, 36324, 75230, 10184, 13845, 36324, 7369, 159696, 33716, 6319, 48775, 20260, 3120, 4151, 10213, 506, 183512, 1644, 17310, 5, 95766, 4838, 122868, 63593, 54260, 1211, 3056, 1285, 30109, 48904, 15307, 54260, 2882, 4838, 364, 54260, 22849, 23173, 4113, 2819, 22753, 6319, 68558, 7746, 2808, 75230, 51437, 54260, 1644, 12483, 10339, 39083, 29659, 186797, 2200, 7243, 40653, 212484, 12483, 6319, 54260, 1211, 69529, 620, 91595, 73381, 39083, 8903, 1211, 125523, 7746, 5, 84475, 2181, 6319, 68558, 7746, 46711, 73381, 12483, 4, 36324, 1285, 30109, 48904, 15307, 54260, 200651, 2702, 36324, 13845, 107581, 170479, 7746, 1470, 75230, 51437, 54260, 1644, 12483, 4, 95298, 22753, 170479, 98252, 212484, 12483, 2190, 22492, 23405, 65482, 506, 24621, 224220, 22426, 7972, 78683, 10918, 239162, 1211, 4, 95455, 364, 54260, 16803, 23050, 1982, 12483, 25616, 48904, 15307, 54260, 96986, 5, 1982, 54260, 2050, 6, 212915, 3056, 1470, 75230, 4667, 162926, 4838, 17824, 75230, 101608, 16175, 54260, 1644, 3120, 34654, 39293, 224220, 22426, 7972, 78683, 10918, 239162, 1211, 3069, 45521, 38054, 48904, 165354, 4151, 40653, 30750, 506, 183512, 1644, 17310, 4, 4151, 10213, 506, 48904, 2442, 1644, 17310, 119055, 12483, 30473, 3056, 1751, 75230, 1211, 7243, 14856, 46244, 3523, 75230, 15231, 2932, 5, 63864, 170355, 107581, 5, 292, 564, 54260, 2050, 81414, 149364, 2205, 81444, 6, 104985 ]

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

[ 1470, 54260, 1211, 1470, 54260, 109985, 4113, 34482, 170355, 107581, 152, 1285, 1285, 25207, 146873, 132025, 105235, 4484, 17310, 564, 54260, 2050, 74806, 1644, 91595, 149010, 1211, 59919, 39340, 46244, 5, 18225, 364, 77188, 123736, 23741, 9424, 119718, 40697, 1211, 15622, 151227, 24295, 7508, 6093, 12483, 6, 159696, 8903, 1211, 4484, 48775, 20260, 159696, 25207, 1211, 137, 69355, 82563, 2050, 155, 84475, 3120, 6, 59919, 16580, 54574, 17310, 72896, 5, 34076, 75230, 47332, 7243, 10069, 39293, 6, 86270, 54260, 96986, 5, 4838, 81414, 149364, 107776, 6, 104985, 3120, 6, 47351, 221895, 1211, 81414, 149364, 5, 5666, 40096, 9221, 32792, 51678, 20033, 21776, 4944, 171428, 4838, 75386, 34654, 364, 75230, 22426, 2882, 63864, 170355, 107581, 152, 10069, 116486, 73215, 34079, 10918, 68558, 5, 3120, 9213, 46244, 6, 101470, 7746, 76961, 6, 48904, 105235, 4484, 109226, 5, 35189, 81414, 149364, 564, 54260, 2050, 6, 212915, 5, 2451, 21087, 2865, 22426, 97634, 51723, 5, 95766, 132025, 7201, 48904, 2932, 37826, 35189, 30109, 48904, 75290, 6, 47351, 2190, 76776, 23405, 65482, 506, 51723, 6235, 111684, 1644, 4, 1470, 6, 56052, 21374, 34709, 12483, 84475, 1982, 54260, 2702, 12483, 2205, 115825, 2648, 5, 874, 48904, 4944, 2865, 39083, 6, 111684, 21295, 7369, 4838, 137, 506, 54260, 155, 2200, 6, 225975, 23173, 4838, 142196, 71945, 2819, 4151, 85596, 71945, 9424, 54260, 98833, 7746, 14856, 46244, 80885, 16667, 119055, 20616, 189623, 2442, 84475, 125523, 20315, 2050, 179096, 1211, 212484, 12483, 5, 4838, 3373, 4667, 874, 39083, 657, 54260, 2648, 2882, 18225, 220273, 7243, 2200, 18225, 7508, 6093, 119718, 34533, 7746, 7369, 29659, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 4, 119055, 12483, 18225, 55242, 506, 2882, 10676, 1470, 75230, 2702, 21066, 24244, 6, 23173, 75230, 2702, 104378, 5, 2205, 4838, 122868, 63593, 54260, 1211, 6428, 75230, 77188, 8947, 4, 3120, 7508, 6093, 132025, 105235, 4484, 17310, 2702, 8300, 54260, 2882, 78278, 3069, 1285, 200795, 177157, 12130, 4, 29434, 54260, 78278, 22753, 1982, 12483, 193012, 5, 55242, 1644, 96986, 6428, 75230, 77188, 2181, 119055, 76632, 61397, 6, 29766, 6093, 14856, 46244, 4, 6, 63188, 43178, 7201, 21106, 2702, 7243, 14856, 46244, 163139, 8300, 238144, 119055, 29771, 4944, 12483, 5, 35189, 1470, 75230, 2702, 21066, 24244, 10213, 105235, 506, 2882, 3120, 4838, 6, 238144, 2702, 12483, 8903, 22849, 149010, 1211, 4, 6235, 120749, 12483, 1470, 54260, 16932, 4, 119055, 13845, 104238, 7508, 41595, 5960, 132025, 7201, 48904, 2932, 6, 21106, 54260, 1211, 6, 23173, 75230, 2702, 4, 2200, 9424, 54260, 98833, 7746, 3131, 109636, 16932, 6, 104985, 564, 54260, 2050, 1470, 75230, 92904, 7682, 12483, 5, 13159, 2205, 163139, 40920, 18640, 1285, 4231, 17310, 4113, 657, 54260, 2882, 1470, 75230, 7201, 46685, 4484, 170355, 2050, 3069, 67882, 4944, 12483, 230764, 7201, 39083, 8903, 16747, 12483, 11265, 202936, 4, 199145, 6235, 155697, 2882, 55242, 46244, 123736, 23741, 5, 220224, 6, 104378, 42493, 55242, 1644, 96986, 73784, 81444, 20911, 29766, 7265, 4151, 6319, 71804, 8903, 36324, 220224, 151614, 1982, 12483, 6, 47351, 1470, 75230, 2702, 21066, 24244, 3120, 2932, 171433, 29766, 4113, 4113, 115468, 2808, 54260, 16932, 15, 101296, 16932, 17645, 16, 2200, 4, 564, 54260, 6235, 5666, 75230, 123073, 130170, 119718, 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 ]

[ 17310, 4, 6235, 7916, 13497, 18225, 219947, 4838, 46590, 905, 10676, 19302, 172398, 96986, 3373, 15289, 3120, 81414, 149364, 2819, 54745, 1211, 95455, 199145, 220224, 506, 21106, 96986, 56170, 1470, 54260, 16932, 3056, 220273, 1470, 54260, 5666, 7201, 26612, 104238, 620, 54260, 2050, 4, 119055, 13845, 104238, 3056, 81444, 1982, 54260, 177274, 1211, 6235, 4852, 88917, 12483, 6, 212915, 4, 119055, 13845, 104238, 9424, 54260, 98833, 7746, 95298, 2205, 4838, 17824, 13159, 123073, 24152, 119718, 84577, 131044, 125523, 1470, 75230, 22680, 4113, 2932, 109226, 5, 1285, 168155, 620, 54260, 2050, 3056, 7243, 6, 238144, 2702, 4, 4852, 29771, 83182, 1211, 123736, 42023, 6319, 54260, 1211, 69529, 56170, 1982, 4, 163139, 119055, 59929, 6093, 4, 7369, 6, 32670, 2882, 7746, 2200, 3056, 21733, 4113, 1982, 18640, 5, 2181, 6, 59919, 105235, 506, 2882, 7746, 4, 36324, 2205, 215031, 10339, 21106, 3056, 7243, 3523, 75230, 15231, 65442, 18167, 3069, 10213, 506, 183512, 1644, 12483, 2200, 6, 226112, 7611, 10676, 21923, 657, 54260, 35189, 81444, 6235, 3111, 2932, 81444, 20911, 75230, 16847, 199145, 67882, 4944, 12483, 7746, 7243, 163139, 2702, 186797, 4, 199145, 10213, 236376, 12483, 10676, 620, 54260, 2050, 21106, 2702, 6, 47351, 1470, 75230, 2702, 21066, 24244, 2200, 10213, 506, 183512, 1644, 12483, 10676, 2190, 5666, 119718, 21292, 141943, 12483, 30109, 48904, 165354, 76961, 23405, 123073, 9424, 54260, 2882, 5, 1982, 54260, 2050, 6, 120749, 93975, 1211, 1470, 75230, 2702, 21066, 24244, 3120, 4151, 4269, 171433, 29766, 4113, 4113, 4, 107776, 14856, 46244, 80885, 16667, 2442, 6093, 1470, 54260, 16932, 7243, 3120, 55242, 46244, 16175, 17645, 6293, 4, 54745, 1211, 1285, 78104, 73381, 123073, 4269, 171433, 29766, 4113, 4113, 3056, 59919, 506, 13845, 2882, 99611, 195164, 18640, 55242, 1644, 96986, 5, 2819, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 145813, 17645, 21295, 4852, 18167, 1285, 30109, 48904, 15307, 54260, 2882, 123736, 1982, 2205, 21776, 2050, 160238, 35189, 12483, 16175, 54260, 1644, 3120, 115825, 2648, 4, 44917, 76216, 35596, 69355, 7508, 6093, 6, 73381, 43178, 17310, 5, 95766, 4151, 67882, 16932, 17645, 6235, 7916, 13497, 18225, 4, 564, 54260, 6, 47351, 130170, 46464, 4944, 17310, 130170, 25207, 2050, 45521, 48974, 25207, 101608, 17310, 2702, 71577, 23173, 40096, 4, 130170, 10676, 6, 134067, 90848, 95564, 137377, 4, 1470, 55242, 46244, 15529, 107581, 874, 43178, 8903, 6319, 54260, 28726, 4944, 196332, 7544, 58679, 200117, 12483, 4, 199145, 18225, 22444, 23741, 6, 68558, 4269, 29771, 113889, 88660, 165354, 4, 119055, 13845, 107581, 17190, 1982, 12483, 2200, 6, 59919, 24621, 46244, 12483, 7746, 2205, 4151, 147582, 2702, 18640, 4484, 54260, 2882, 92500, 119055, 13845, 107581, 163825, 12483, 95455, 132025, 105235, 39340, 152848, 67882, 16932, 710, 21106, 5, 220224, 6093, 6, 59919, 24621, 46244, 17310, 230764, 2200, 2205, 4151, 620, 54260, 7758, 75230, 2882, 3120, 1285, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 4, 101296, 40920, 1285, 39293, 36324, 75230, 6319, 48775, 20260, 2200, 220224, 6093, 10213, 46464, 83182, 4113, 160238, 1644, 17645, 30750, 3069, 1285, 2648, 29771, 30473, 8903, 620, 54260, 7758, 75230, 96986, 4, 67882, 40920, 1285, 30109, 48904, 15307, 54260, 2882, 36324, 75230, 1751, 159696, 2442, 3069, 364, 54260, 1644, 12483, 5, 23173, 14088, 4151, 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 ]

[ 73381, 43178, 17310, 3120, 26, 5, 115825, 2648, 9424, 54260, 98833, 7746, 4838, 7508, 75230, 158652, 54260, 2882, 4, 119055, 13845, 107581, 88660, 1211, 7746, 45521, 93509, 80453, 54260, 96986, 40653, 4838, 17824, 13159, 123073, 1470, 75230, 75578, 7201, 192956, 3120, 26, 2050, 123736, 48974, 47351, 5, 55242, 46244, 123736, 23741, 119055, 77188, 1470, 75230, 4667, 1285, 4269, 48904, 26394, 42493, 3120, 10676, 115825, 2648, 84475, 6, 40096, 54260, 1644, 4151, 69355, 74806, 119718, 39083, 12483, 4, 6, 104985, 55242, 1644, 96986, 3056, 1285, 1751, 159696, 1644, 17310, 37729, 2200, 103854, 4, 2205, 4151, 4269, 48904, 89930, 1285, 178674, 54260, 2882, 3120, 10676, 115825, 2648, 5, 119055, 12483, 1285, 6, 35596, 10918, 16747, 17310, 68313, 1751, 57277, 24152, 4, 119055, 6093, 12483, 1470, 75230, 4667, 74806, 119718, 39083, 12483, 1285, 29434, 710, 104149, 3120, 7508, 6093, 1285, 4667, 74, 95766, 4838, 122868, 63593, 54260, 1211, 3056, 95298, 34654, 39293, 1751, 159696, 1644, 17310, 7243, 6319, 54260, 1211, 55242, 46244, 43649, 23173, 39340, 92500, 14856, 46244, 80885, 16667, 6235, 506, 2882, 22753, 3120, 7746, 55242, 22849, 16803, 98252, 4, 1751, 109636, 42180, 1644, 119055, 12483, 35189, 30109, 48904, 75290, 6319, 68558, 6, 186461, 12483, 1470, 54260, 7511, 8903, 193012, 2205, 564, 29060, 4, 292, 6, 104985, 4838, 68697, 54260, 16932, 85465, 200117, 12483, 657, 54260, 35189, 55242, 46244, 55242, 1644, 96986, 1285, 14856, 97594, 4944, 4484, 54260, 2882, 95455, 3069, 6, 80264, 5, 119055, 12483, 1285, 136124, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 3131, 159696, 1644, 17310, 3120, 4231, 65482, 29434, 710, 104149, 6, 59919, 23847, 13159, 77188, 7746, 4, 163825, 29060, 7746, 4838, 874, 14325, 4, 159696, 1644, 107581, 3056, 2205, 6, 119859, 57619, 12483, 6, 20616, 5666, 32792, 3069, 1211, 4838, 6235, 159696, 506, 5666, 149010, 2442, 874, 14325, 2200, 65146, 2808, 75230, 4667, 10213, 506, 183512, 13845, 2882, 119055, 6093, 12483, 2205, 4151, 39293, 1644, 75578, 4838, 33716, 5, 18225, 22444, 23741, 1285, 6, 35596, 10918, 16747, 17310, 2200, 1751, 159696, 1644, 17310, 2205, 4151, 1285, 4667, 152, 4838, 6, 169817, 68558, 5, 292, 7265, 4151, 9424, 54260, 2882, 59919, 24621, 506, 33716, 7746, 4151, 1470, 75230, 2702, 21066, 24244, 2200, 119055, 77188, 6235, 10069, 4944, 16932, 5, 4151, 10498, 6093, 8580, 68313, 123736, 23741, 36324, 75230, 1751, 57277, 24152, 36324, 8947, 3056, 1751, 159696, 2442, 3069, 6, 212484, 12483, 95455, 119055, 59929, 6093, 4, 54745, 1211, 10069, 10213, 65606, 2442, 17310, 3120, 4151, 30109, 48904, 75290, 620, 54260, 7758, 75230, 2882, 37729, 10676, 179096, 1211, 204982, 20315, 2050, 30109, 48904, 165354, 4838, 6235, 111684, 1644, 3120, 9721, 171428, 5, 37729, 4151, 45521, 189623, 61397, 17310, 3120, 20315, 2050, 213909, 21106, 4, 199145, 107776, 3120, 220224, 1211, 6, 35596, 10918, 152848, 96986, 3069, 29659, 183512, 4, 6235, 506, 97634, 23741, 4151, 1751, 226112, 2050, 3120, 10676, 179096, 1211, 19532, 75230, 2702, 2205, 6, 47351, 1470, 17310, 4113, 159696, 506, 5666, 149010, 2442, 7201, 29766, 2050, 4, 2205, 9424, 238144, 12483, 4, 6, 59919, 13982, 20616, 2882, 4, 6, 141847, 84475, 46711, 137377, 43178, 238144, 4852, 2819, 95298, 10069, 168155, 3069, 29659, 183512, 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 ]

[ 564, 54260, 7508, 6093, 4838, 17494, 16932, 4269, 171433, 29766, 4113, 4113, 6, 104985, 160238, 88680, 8903, 506, 141943, 5, 2648, 120467, 6, 61397, 12483, 3056, 2190, 91275, 37016, 159696, 2050, 2200, 123736, 23741, 2865, 39083, 4, 119055, 12483, 1285, 30109, 48904, 15307, 54260, 2882, 68313, 1751, 57277, 24152, 6, 35596, 119718, 125897, 21295, 4, 4151, 4484, 35596, 18225, 4838, 4269, 171433, 29766, 4113, 4113, 58679, 20260, 12483, 37729, 4852, 54260, 1211, 6, 185337, 5, 95455, 107776, 14856, 46244, 80885, 16667, 37729, 4838, 85596, 71945, 2205, 2200, 4838, 68550, 10069, 32887, 175483, 1644, 12483, 2200, 37729, 4838, 6235, 111684, 1644, 3120, 2190, 91275, 37016, 159696, 94790, 4944, 4484, 54260, 2882, 2190, 13497, 12483, 2205, 22444, 165354, 5, 13159, 6, 59919, 105235, 506, 2882, 7746, 36324, 76961, 1470, 75230, 1982, 12483, 564, 174798, 16011, 65482, 657, 54260, 20315, 1211, 7038, 104149, 85465, 200117, 12483, 4838, 620, 91595, 4113, 10339, 39083, 8903, 230764, 10676, 6, 119859, 57619, 12483, 6, 75290, 149364, 4, 163139, 1470, 75230, 4667, 230764, 20315, 2050, 4269, 54260, 16803, 3120, 10676, 30109, 48904, 165354, 5, 1285, 4231, 76632, 8903, 199145, 151614, 1982, 12483, 1751, 75230, 1211, 7369, 7201, 26612, 46244, 17310, 2205, 4151, 30109, 48904, 15307, 54260, 2882, 4, 67882, 4944, 12483, 7746, 14856, 46244, 80885, 16667, 7243, 10184, 13845, 4852, 29766, 8903, 1211, 3120, 4151, 4838, 17494, 16932, 4, 40026, 86733, 160238, 2050, 3120, 81414, 149364, 5, 95298, 1285, 119718, 120467, 21923, 125523, 7243, 6235, 119718, 29771, 5594, 13497, 7265, 4151, 30109, 48904, 15307, 54260, 2882, 4, 119055, 6093, 12483, 23822, 75230, 6093, 18640, 2200, 24012, 35189, 8903, 3131, 203749, 12483, 2819, 220224, 6093, 3523, 83586, 13342, 29659, 183512, 2205, 657, 54260, 40920, 13342, 6, 59919, 105235, 42023, 4, 119055, 12483, 18225, 4151, 87311, 13497, 7746, 36324, 220224, 151614, 1982, 12483, 40026, 506, 6093, 47783, 8903, 506, 77188, 95455, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 4838, 657, 54260, 4944, 18415, 4, 220273, 4838, 145813, 710, 13845, 4944, 13845, 4, 2200, 165592, 220224, 123073, 7369, 7201, 26612, 506, 189623, 123073, 133519, 10339, 147713, 12483, 220224, 1470, 75230, 2702, 71804, 4944, 12483, 199145, 220224, 85465, 200117, 12483, 125523, 7243, 6235, 506, 40096, 137, 26612, 46590, 905, 1470, 54260, 1211, 155, 81414, 149364, 4, 2200, 36324, 220224, 21923, 5666, 29766, 220273, 7243, 6319, 54260, 1211, 874, 114436, 2819, 2200, 182261, 55242, 506, 12483, 220224, 36324, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 7243, 6319, 54260, 1211, 145813, 59929, 4, 220224, 657, 54260, 20315, 1211, 4151, 69355, 14856, 46244, 163139, 220224, 151614, 1982, 12483, 4852, 18167, 160238, 190135, 4, 220224, 364, 75230, 1982, 12483, 6, 68558, 3069, 7369, 27720, 46244, 12483, 36324, 8947, 3056, 4838, 6, 71804, 128083, 75230, 123073, 152848, 30109, 48904, 15307, 54260, 2882, 2200, 36324, 22753, 6319, 68558, 151614, 1982, 12483, 1751, 109636, 16932, 620, 91595, 73381, 39083, 8903, 1211, 5, 2200, 1470, 75230, 101608, 10676, 7038, 104149, 220224, 7746, 125523, 7265, 220224, 6093, 657, 54260, 20315, 1211, 2932, 171433, 29766, 4113, 4113, 125158, 30750, 506, 21106, 96986, 4, 2200, 220224, 51678, 7243, 151614, 1982, 12483, 17190, 1982, 12483, 7746, 1285, 46711, 75230, 16803, 186797, 6093, 183512, 2200, 10676, 657 ]

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

[ 17645, 1982, 141943, 12483, 6, 181615, 3120, 4838, 67882, 51723, 15, 26612, 46590, 905, 119055, 10705, 1285, 67882, 24621, 68313, 6, 119859, 69106, 44917, 76216, 35596, 247, 163139, 8947, 3056, 7508, 6093, 10339, 21106, 564, 54260, 221895, 30109, 48904, 15307, 54260, 96986, 5, 92500, 7243, 6, 159696, 110317, 6, 226112, 98833, 564, 54260, 3069, 220224, 6093, 24012, 35189, 8903, 3131, 203749, 43178, 506, 54260, 2882, 1285, 241304, 2702, 195164, 93975, 4838, 33716, 163139, 36324, 75230, 1285, 30109, 48904, 15307, 54260, 2882, 119055, 77188, 10213, 506, 183512, 13845, 2882, 3120, 10069, 14856, 10069, 10918, 5666, 40697, 27702, 107829, 96986, 2200, 3120, 1285, 29434, 5, 9934, 75230, 2932, 133111, 26, 2702, 5, 2865, 48904, 107581, 30109, 48904, 39340, 21923, 43449, 59929, 4, 6, 59919, 1644, 9221, 12483, 10676, 6, 71577, 29060, 15907, 4, 83066, 1644, 12483, 7746, 1751, 119718, 26612, 4667, 2200, 55242, 506, 12483, 47783, 1470, 75230, 2702, 45521, 15529, 29771, 98833, 5, 292, 20632, 4, 1470, 75230, 1982, 874, 54260, 1211, 2442, 40096, 6319, 68558, 5332, 22426, 21292, 45223, 55823, 1211, 4, 292, 874, 54260, 1211, 7508, 40096, 3056, 4, 36324, 18225, 170479, 7746, 1285, 4269, 48904, 26394, 6, 170355, 4667, 7243, 36324, 75230, 1751, 57277, 24152, 6, 101470, 73784, 364, 23173, 26394, 1211, 5, 8947, 3056, 6, 57277, 16580, 4838, 3131, 159696, 25207, 30109, 48904, 15307, 54260, 2882, 4, 22753, 6428, 75230, 77188, 6, 57277, 16580, 6, 71804, 23405, 4, 22753, 3056, 6, 57277, 16580, 1751, 159696, 29025, 905, 10213, 85465, 47526, 12483, 4, 95298, 2205, 1285, 14856, 46244, 80885, 10339, 109316, 4, 1470, 75230, 1982, 18225, 364, 15907, 7746, 29771, 1982, 4, 3056, 1285, 70695, 20260, 506, 54260, 2882, 4838, 364, 54260, 22849, 23173, 4113, 5, 199145, 6255, 119055, 39083, 2882, 6, 101328, 6235, 119718, 39083, 2882, 4, 119718, 39083, 2882, 220224, 1211, 36324, 1285, 168155, 1751, 25207, 165354, 56170, 4151, 4269, 171433, 29766, 4113, 4113, 170479, 7369, 29659, 6, 104378, 113889, 4667, 4151, 364, 54260, 1644, 17310, 4, 9747, 1285, 4231, 17310, 4113, 657, 54260, 2882, 15, 29771, 35189, 1470, 75230, 4667, 1285, 895, 16932, 4113, 657, 54260, 2882, 4, 238144, 1644, 220224, 151614, 1982, 12483, 22753, 1470, 75230, 4667, 21422, 2865, 32792, 123736, 23741, 247, 170479, 12483, 874, 151461, 151614, 1982, 12483, 3069, 8248, 4944, 12483, 1285, 6235, 28726, 8903, 5927, 54260, 2882, 56170, 4838, 9424, 238144, 16932, 132025, 105235, 4484, 17310, 5, 7201, 99766, 905, 21660, 186797, 7265, 4151, 564, 174798, 54260, 1982, 17310, 3120, 1285, 177157, 22426, 97634, 51723, 4, 163139, 17410, 18167, 49920, 7201, 29766, 506, 4113, 1982, 12483, 10676, 10339, 129071, 36324, 95455, 7369, 2932, 80885, 657, 54260, 20315, 2882, 7508, 6093, 70695, 20260, 6093, 123736, 23741, 7369, 29659, 2205, 4151, 6, 76776, 40920, 5, 564, 54260, 166464, 45521, 95064, 16803, 18225, 14856, 506, 90848, 35189, 119055, 76632, 61397, 6, 68558, 7746, 55242, 22849, 16803, 4, 220224, 186797, 10213, 36326, 23741, 176727, 7265, 221895, 24621, 110970, 12483, 2200, 6, 170355, 4944, 12483, 2819, 95298, 564, 54260, 6, 76776, 40920, 4, 2205, 4151, 119055, 23173, 710, 74813, 54260, 2882, 2200, 1982, 37016, 159696, 94790, 4944, 4484, 54260, 2882, 10339, 119718, 26, 2050, 564, 29060, 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 ]

[ 7265, 6, 47351, 123736, 48974, 47351, 199145, 3056, 1751, 75230, 1211, 3373, 54260, 119718, 710, 3373, 54260, 6, 61397, 54260, 56169, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 4, 22444, 23741, 95455, 43649, 54260, 6293, 159696, 25207, 1211, 35189, 69355, 6, 23173, 75230, 2702, 22518, 37016, 149010, 85596, 29025, 12483, 5, 10069, 30109, 48904, 39340, 6428, 23173, 55823, 1211, 7746, 7243, 1751, 25207, 165354, 119055, 12483, 220224, 55242, 506, 12483, 4838, 46711, 137377, 12483, 564, 137119, 6, 23173, 75230, 2702, 104378, 125523, 10676, 179096, 1211, 212484, 12483, 2819, 8947, 3056, 6, 75322, 39083, 6, 59929, 52480, 22426, 97634, 2050, 3120, 4151, 70695, 20260, 506, 54260, 2882, 5, 35189, 1470, 75230, 2702, 21066, 24244, 3120, 1470, 54260, 16932, 3056, 14856, 46244, 80885, 16667, 17824, 13159, 6093, 2205, 4151, 94626, 506, 4, 6, 238144, 1644, 200795, 16667, 6, 235210, 13845, 2882, 7746, 4151, 1470, 54260, 16932, 6, 68558, 2205, 7508, 6093, 112389, 2882, 4, 219947, 119055, 6093, 186797, 4838, 159696, 4484, 8903, 119718, 26612, 3131, 12483, 3120, 10676, 179096, 1211, 4, 2200, 9424, 238144, 18415, 16667, 6, 238144, 50853, 120467, 115825, 6093, 3056, 14856, 46244, 1470, 75230, 111137, 2442, 54260, 56169, 2205, 4151, 6, 76776, 40920, 5, 95766, 4838, 122868, 63593, 54260, 1211, 119055, 77188, 1285, 30109, 48904, 15307, 54260, 2882, 657, 54260, 4944, 16932, 6235, 8903, 1211, 4151, 29434, 710, 114082, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 16932, 119055, 29771, 4667, 4, 10213, 46464, 83182, 2702, 1470, 75230, 1982, 18225, 6319, 68558, 7746, 123736, 25559, 710, 96986, 2205, 8947, 12483, 4, 81414, 20260, 12483, 2200, 151614, 1982, 12483, 199145, 14856, 46244, 22444, 506, 4113, 4, 163139, 20033, 119055, 109316, 1211, 55242, 506, 12483, 564, 54260, 4151, 30750, 506, 183512, 1644, 17310, 5, 4151, 30109, 48904, 75290, 37826, 7243, 14856, 46244, 6319, 54260, 1211, 85596, 71945, 564, 54260, 2050, 119718, 59929, 6093, 212484, 12483, 4, 7369, 17288, 47332, 6, 68558, 3069, 151614, 1982, 12483, 22444, 506, 93975, 3523, 91595, 4, 7369, 17288, 47332, 7746, 68558, 3069, 10184, 54574, 12483, 2205, 182990, 1211, 216333, 5, 4151, 1470, 75230, 2702, 21066, 14088, 119055, 77188, 4838, 203326, 13845, 16629, 16932, 6093, 2200, 107776, 55242, 21295, 114436, 5, 1751, 109636, 16932, 45521, 93509, 119718, 710, 16747, 29060, 4151, 1470, 54260, 16932, 2205, 6, 119859, 57619, 12483, 564, 54260, 166464, 2200, 18225, 6319, 68558, 1470, 30682, 6, 104985, 55242, 506, 12483, 2205, 4151, 94626, 506, 4, 564, 54260, 2050, 1470, 75230, 135469, 20616, 1211, 5, 7265, 4151, 9424, 54260, 2882, 45521, 93509, 119718, 710, 16747, 29060, 7369, 2205, 119859, 57619, 12483, 4, 199145, 190859, 54260, 18415, 2882, 125523, 7243, 36324, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 1470, 75230, 2702, 8903, 506, 54260, 21295, 5, 18225, 6319, 68558, 10213, 236376, 12483, 10676, 10339, 21106, 56170, 4838, 4269, 171127, 93975, 1211, 4, 1470, 75230, 1982, 35189, 1470, 75230, 2702, 21066, 24244, 364, 77188, 2205, 6, 119859, 57619, 12483, 230764, 125523, 10184, 6093, 78278, 55242, 13805, 119055, 29771, 4944, 12483, 69355, 10676, 132025, 7201, 48904, 2932, 3120, 4151, 30109, 48904, 15307, 54260, 2882, 2819, 55242, 46244, 123736, 23741, 6428, 75230, 77188, 7369, 24621, 46244 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15864, 5666, 4944, 2865, 39083, 4838, 46590, 905, 29434, 54260, 874, 232187, 2882, 84475, 657, 141847, 6093, 5, 104985, 7243, 76961, 10339, 109316, 9424, 54260, 8903, 1211, 1285, 1470, 75230, 1982, 12483, 1982, 174798, 16011, 65482, 177157, 22426, 97634, 51723, 2819, 55242, 46244, 123736, 23741, 3056, 1285, 30109, 48904, 15307, 54260, 2882, 6, 119859, 69106, 107189, 2442, 2200, 7508, 6093, 30109, 48904, 75290, 657, 54260, 20315, 2882, 4, 7265, 1470, 75230, 2702, 76776, 24621, 3120, 1470, 75230, 2702, 21066, 24244, 4, 220273, 7243, 6, 29766, 6093, 64699, 2932, 29766, 7243, 5, 168892, 40653, 23822, 54260, 1982, 7243, 119055, 12483, 6255, 10213, 506, 75230, 22426, 18415, 6, 47351, 14856, 46244, 80885, 16667, 4, 159696, 1211, 4838, 4269, 171433, 29766, 4113, 4113, 6428, 75230, 77188, 6, 71804, 23405, 4, 37826, 3131, 22753, 3056, 130170, 10213, 506, 183512, 1644, 17310, 4, 68313, 1285, 1751, 69127, 3120, 4151, 6, 59919, 1644, 141847, 6093, 17310, 4, 10676, 7508, 218241, 205416, 26, 2702, 5, 6, 35596, 159696, 2442, 6093, 6093, 6, 59919, 1644, 141847, 77188, 1285, 10213, 506, 183512, 1644, 17310, 4838, 1982, 30473, 40920, 32792, 84475, 37729, 2190, 5666, 119718, 710, 36419, 5927, 54260, 2882, 4, 4151, 112216, 10918, 35596, 657, 54260, 2648, 2882, 4151, 69355, 5, 8947, 3056, 95298, 55242, 46244, 123736, 23741, 10676, 25616, 48904, 165354, 16, 2702, 1751, 69127, 6, 21106, 54260, 1211, 4, 6, 238144, 1644, 44064, 130170, 4151, 5332, 46244, 7972, 4944, 82576, 10213, 506, 183512, 1644, 17310, 4, 3056, 7369, 1751, 159696, 2442, 84475, 2190, 5666, 190386, 18167, 1470, 75230, 2702, 8903, 506, 54260, 21295, 3069, 119055, 6093, 12483, 4, 2808, 75230, 1982, 7369, 364, 15907, 7243, 123736, 1982, 6235, 5666, 75230, 76961, 21776, 195054, 1211, 199145, 18225, 204982, 1470, 30682, 6, 68558, 2819, 92500, 95455, 6, 105515, 7369, 123736, 23741, 7243, 5, 177274, 5666, 7201, 21106, 2702, 7501, 6255, 40653, 8300, 54260, 98833, 36324, 4852, 54260, 1211, 6, 76776, 10813, 13159, 18640, 4484, 54260, 2882, 4, 9174, 64260, 3131, 22753, 3056, 55242, 46244, 1751, 16870, 32792, 4, 42542, 1470, 30682, 7243, 199511, 36324, 13845, 107581, 22518, 37016, 149010, 224220, 22426, 7972, 78683, 10918, 239162, 1211, 163139, 1285, 199145, 119055, 6093, 12483, 2865, 48904, 4944, 13159, 874, 39083, 6, 59919, 63864, 170355, 40920, 3120, 81444, 20911, 75230, 16847, 5, 59919, 506, 15907, 17310, 5, 292, 6, 59919, 87637, 96986, 1285, 30109, 48904, 25616, 54260, 2882, 7265, 162926, 506, 54260, 2882, 42542, 18225, 6, 104985, 4, 119055, 12483, 51723, 37826, 6319, 54260, 1211, 6, 59919, 39340, 46244, 7265, 116486, 73215, 2451, 34079, 185758, 18415, 84475, 6, 73215, 34079, 185758, 18415, 5, 2932, 171433, 29766, 4113, 4113, 88622, 29771, 75578, 2205, 1285, 141879, 6, 101328, 46244, 12483, 37826, 1285, 6, 23173, 24621, 4113, 2200, 1285, 874, 23173, 71512, 15, 5666, 54260, 119718, 710, 16, 69355, 1285, 45521, 45629, 54260, 110317, 18415, 1751, 57277, 174121, 1211, 9424, 119718, 40697, 1211, 1285, 3373, 39083, 94741, 96986, 1470, 54260, 5666, 8903, 111684, 33716, 10339, 39083, 8903, 16747, 13159, 7265, 13845, 7746, 3069, 6, 59919, 87637, 96986, 3120, 4269, 171433, 29766, 4113, 4113, 152, 6, 47351, 2808, 54260, 110970, 80453, 31623, 17310, 3120, 4838, 657, 48350 ]

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

[ 17310, 3120, 190, 116486, 8300, 35596, 4838, 48974, 9221, 39083, 2205, 119718, 59929, 6093, 5, 1285, 39293, 657, 48350, 17310, 42542, 148932, 6, 212484, 12483, 67882, 4944, 12483, 564, 54260, 2050, 6428, 90848, 2932, 34533, 2200, 4852, 1470, 54260, 5666, 2865, 39083, 1470, 54260, 110970, 80453, 31623, 12483, 9934, 29771, 7201, 99766, 125523, 10676, 6, 59919, 39340, 46244, 4, 3069, 6093, 29659, 101328, 4852, 186797, 21776, 2050, 179096, 1211, 5, 292, 1470, 75230, 1982, 18225, 42542, 7746, 230764, 10676, 6, 59919, 212484, 12483, 4, 238144, 2702, 6255, 7243, 2819, 8947, 3056, 125523, 3069, 40026, 506, 3069, 2190, 33716, 54260, 1644, 12483, 6, 159696, 8903, 1211, 10676, 6093, 7201, 39083, 2932, 3120, 10676, 7265, 13845, 5, 6255, 7501, 1470, 75230, 4667, 7243, 162926, 1470, 75230, 1982, 95455, 42542, 219947, 6, 75322, 39083, 220273, 1751, 93704, 12483, 4, 72308, 54260, 8300, 186797, 4838, 6235, 4852, 88917, 12483, 213909, 21106, 5, 15, 168892, 35189, 87311, 1211, 95455, 7265, 13845, 43449, 75230, 4852, 3069, 1644, 17645, 1982, 10339, 39083, 29659, 186797, 4484, 54260, 2882, 5, 16, 2865, 48904, 107581, 6235, 13458, 75230, 4944, 12483, 10676, 192183, 127731, 203232, 4, 84475, 4269, 50622, 22426, 90848, 710, 87442, 29766, 5, 7369, 165354, 95298, 874, 48904, 4944, 13159, 874, 39083, 6, 59919, 48775, 96986, 4, 6, 238144, 1644, 7369, 6, 89930, 2442, 54260, 16803, 7746, 123736, 23741, 95766, 21776, 2050, 46050, 147502, 12483, 6, 87311, 96302, 5, 30750, 506, 183512, 1644, 17310, 5, 292, 199145, 6, 48904, 69801, 48904, 98833, 1285, 10213, 506, 183512, 1644, 17310, 69355, 4151, 4838, 17494, 16932, 4269, 171433, 29766, 4113, 4113, 4, 37826, 1285, 14856, 10069, 10918, 5666, 40697, 116486, 55823, 21087, 68558, 6319, 54260, 1211, 23847, 75230, 2702, 12483, 160238, 48253, 166198, 6235, 101296, 40920, 2819, 54745, 1211, 8947, 3056, 78278, 182261, 7243, 29771, 6319, 54260, 1211, 60732, 14856, 10069, 10918, 207591, 7265, 13845, 199145, 170479, 1285, 30109, 48904, 15307, 54260, 2882, 1470, 75230, 51437, 54260, 1644, 12483, 5, 2200, 168892, 1470, 54260, 1644, 7746, 3069, 10213, 97634, 49008, 36324, 95455, 364, 54260, 16803, 7243, 36324, 1285, 30109, 48904, 15307, 54260, 2882, 68313, 2190, 5927, 54260, 22849, 23173, 2819, 3523, 54260, 1211, 4, 292, 22753, 3056, 364, 54260, 22849, 23173, 5, 6255, 6428, 135118, 15, 92500, 6255, 115518, 7243, 4151, 1470, 54260, 109985, 6093, 199145, 3056, 6, 130991, 3069, 10676, 6235, 94741, 20260, 37729, 4852, 54260, 1211, 7369, 7201, 26612, 46244, 23174, 247, 36324, 119055, 12483, 18225, 6, 212484, 2882, 95455, 115825, 2648, 72308, 77525, 6, 159696, 46244, 141943, 4151, 25616, 48904, 15307, 54260, 2882, 2200, 18225, 364, 15907, 7746, 123736, 1982, 2205, 221895, 10213, 32670, 109226, 4, 95455, 506, 54260, 16803, 6, 159696, 8903, 1211, 8947, 12483, 2200, 81414, 20260, 12483, 2200, 22444, 506, 4, 119055, 39083, 2882, 1285, 4269, 171433, 29766, 4113, 4113, 2205, 21106, 8903, 2865, 54260, 1211, 7243, 6235, 2648, 75230, 77188, 657, 141847, 6093, 163139, 130170, 7508, 6093, 10213, 506, 183512, 1644, 17310, 3120, 20315, 2050, 564, 13159, 96986, 2200, 5332, 46244, 7972, 40377, 96986, 1751, 109636, 10918, 21106, 34533, 4, 7265, 1285, 10213, 80885, 14856, 10069, 78683, 96302, 12483, 199145, 20033, 6, 59919, 87311, 8903, 1211, 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 ]

[ 2200, 6255, 22518, 54260, 1982, 95455, 7265, 10676, 99509, 12483, 30750, 119718, 10705, 16803, 4852, 54260, 1211, 6150, 95455, 3056, 6, 47351, 1470, 22426, 710, 195088, 850, 3120, 43649, 183512, 172060, 185226, 3120, 4151, 506, 54260, 13497, 161459, 14856, 10069, 10918, 1211, 2200, 6255, 6, 238144, 2702, 163139, 7916, 13845, 10184, 76776, 112690, 109316, 1211, 1751, 93704, 12483, 1285, 159696, 2442, 16932, 51678, 6, 199511, 20033, 2200, 221895, 81444, 20911, 75230, 16847, 2200, 163139, 7916, 13845, 51723, 119055, 29060, 205026, 132025, 3131, 13845, 96986, 4151, 7201, 23173, 5, 6255, 22518, 54260, 1982, 48494, 200117, 4, 6, 238144, 1644, 6255, 20315, 20260, 36324, 75230, 5, 2205, 4838, 117902, 2442, 1285, 150349, 172398, 6093, 448, 37826, 18225, 1751, 75230, 1211, 1470, 54260, 5666, 8903, 111684, 33716, 36324, 18225, 204982, 14856, 46244, 123073, 30109, 48904, 39340, 220273, 6319, 54260, 1211, 14856, 10069, 10918, 1211, 4, 7243, 21422, 131281, 2442, 6093, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 3131, 80453, 31623, 12483, 2200, 3523, 54260, 2882, 1470, 54260, 57619, 905, 101470, 4, 18225, 17190, 189583, 220224, 6, 104985, 199145, 3069, 13159, 12483, 5, 2205, 221895, 1285, 150349, 172398, 6093, 21292, 119055, 6093, 12483, 1285, 30109, 48904, 39340, 22518, 37016, 32792, 189098, 506, 183512, 13845, 2882, 2819, 18225, 67882, 40920, 220224, 6428, 99766, 55242, 46244, 123736, 23741, 30109, 48904, 75290, 5, 1470, 75230, 101608, 10676, 199145, 8947, 34072, 506, 12483, 2205, 4231, 65482, 7369, 16932, 2190, 57619, 20616, 7972, 8903, 29434, 5, 9934, 75230, 5666, 212915, 26, 2702, 4, 2205, 4151, 160238, 2050, 3120, 19302, 54260, 23269, 2200, 17824, 75230, 36419, 137, 22426, 90848, 7201, 13159, 29766, 12483, 2004, 119055, 63593, 172398, 1470, 54260, 109985, 6093, 9424, 159696, 4484, 2181, 3056, 3069, 45521, 164863, 23173, 12483, 1285, 1285, 150349, 172398, 89184, 22426, 215726, 13497, 12483, 3069, 7746, 2205, 123736, 131445, 5, 10069, 34654, 47332, 18640, 80885, 10213, 506, 183512, 1644, 17310, 2205, 1285, 6235, 159696, 506, 5666, 7972, 30750, 4, 219947, 224220, 22426, 7972, 138194, 18415, 5, 10339, 109316, 119055, 39083, 2882, 6235, 2648, 23173, 23741, 220224, 1211, 7201, 39083, 8903, 152848, 12, 119055, 12483, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 1751, 57277, 24152, 4, 163139, 2181, 3056, 564, 174798, 16011, 12483, 6235, 119718, 29766, 12483, 2205, 178766, 4113, 40026, 506, 6093, 93975, 223229, 12483, 4, 119055, 12483, 18225, 37826, 23847, 75230, 36419, 85596, 29025, 12483, 6, 29060, 8300, 5, 4, 6, 159696, 22849, 46598, 364, 186955, 7243, 6, 68558, 14856, 46244, 163139, 6, 29060, 7972, 30750, 193012, 4, 170479, 18225, 6, 186461, 12483, 22444, 506, 18640, 2205, 564, 29060, 5, 1285, 4269, 48904, 26394, 9424, 54260, 2882, 163139, 7916, 13845, 2181, 3056, 81444, 1470, 75230, 2702, 21066, 14088, 170479, 18225, 55242, 46244, 6, 159696, 110317, 4838, 144532, 8903, 42023, 4, 18225, 4852, 39083, 2205, 4151, 32054, 54260, 6093, 9424, 54260, 2882, 6, 186461, 12483, 84475, 22753, 26394, 1211, 5, 18225, 170479, 1470, 75230, 114349, 54260, 20315, 1211, 74806, 1644, 91595, 149010, 1470, 75230, 22680, 4113, 2932, 17310, 5, 2181, 2205, 7243, 7369, 1644, 75230, 47332, 3069, 8947, 12483, 4484, 54260, 1211, 69529, 6235, 55823, 59919, 18415, 4, 1751, 23173, 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 ]

[ 4, 364, 23173, 30750, 145813, 54260, 4852, 4, 163139, 1470, 75230, 4667, 6319, 54260, 1211, 6235, 119718, 63188, 18415, 8947, 172398, 5, 18225, 6, 48775, 63020, 564, 48350, 29771, 83182, 2050, 1470, 75230, 7201, 22426, 59929, 12483, 230764, 10676, 29659, 15096, 240863, 4, 2200, 4, 119055, 12483, 3523, 75230, 15231, 2932, 4, 7746, 67882, 4944, 12483, 19302, 34533, 9221, 12483, 5, 6, 21106, 88660, 506, 39083, 40697, 8903, 23822, 135118, 4113, 2205, 148932, 160238, 2050, 15, 12890, 6093, 4, 6, 238144, 1211, 9915, 71577, 2702, 16, 2200, 14856, 10069, 10918, 16667, 2808, 54260, 57619, 905, 101470, 21923, 167048, 141847, 10339, 139365, 64260, 12483, 5, 119055, 59929, 6093, 6, 48775, 63020, 18225, 81414, 20260, 12483, 119718, 120467, 14856, 46244, 5, 80839, 40920, 12483, 21923, 72577, 73784, 8947, 12483, 5, 2205, 4838, 122868, 63593, 54260, 1211, 3056, 2181, 216333, 3069, 8947, 12483, 6, 159696, 110317, 5, 17190, 1982, 149010, 119055, 48904, 13159, 199145, 6, 73381, 16932, 5, 9424, 238144, 13982, 54260, 119055, 29771, 4944, 12483, 125523, 10676, 163139, 4151, 1470, 75230, 2702, 21066, 24244, 364, 77188, 230764, 4, 3056, 8947, 72577, 7746, 21422, 212484, 12483, 130170, 46464, 4944, 12483, 4, 9747, 1470, 75230, 2702, 13342, 8903, 7916, 49008, 163139, 6, 238144, 2882, 18225, 364, 186955, 1751, 75230, 1211, 144754, 4151, 30109, 48904, 15307, 54260, 2882, 2200, 9747, 3069, 10213, 29659, 710, 51723, 119055, 12483, 18225, 3056, 1470, 75230, 2702, 8903, 506, 54260, 21295, 5, 18225, 6, 94741, 63020, 7243, 45521, 95064, 2702, 12483, 36324, 4, 119055, 12483, 4151, 1470, 75230, 2702, 158853, 51437, 77188, 230764, 4, 3056, 1285, 30109, 48904, 15307, 54260, 2882, 125523, 7243, 6235, 506, 54260, 21295, 5, 95455, 3056, 119718, 710, 40920, 18640, 3069, 163139, 2702, 12483, 9213, 56170, 7746, 4, 9213, 56170, 220224, 1211, 21374, 217814, 161459, 32054, 75230, 4, 54745, 1211, 13159, 6, 94741, 63020, 7243, 220224, 1211, 7369, 1644, 75230, 47332, 130170, 4484, 54260, 23269, 101251, 105235, 16747, 12483, 3069, 364, 54260, 48775, 96986, 4, 1470, 54260, 6093, 18225, 3056, 162926, 10339, 39083, 29659, 186797, 1470, 75230, 2702, 2932, 171433, 29766, 4113, 4113, 128780, 5, 20616, 54260, 21295, 5, 292, 18225, 6, 94741, 63020, 123736, 25559, 710, 96986, 1285, 1470, 75230, 1982, 12483, 564, 174798, 16011, 114436, 4113, 195054, 1211, 4, 78278, 18225, 3056, 162926, 36324, 18225, 3056, 6235, 506, 54260, 21295, 5, 168892, 6, 238144, 2702, 36324, 2181, 21923, 55242, 1644, 96986, 1285, 199145, 43649, 109316, 1211, 7746, 3069, 211630, 12483, 7265, 215031, 10213, 506, 183512, 1644, 17310, 4, 564, 54260, 119055, 13845, 104238, 137, 51723, 6, 105515, 220273, 7243, 2004, 238144, 1644, 220224, 163139, 1644, 12483, 18225, 170479, 47783, 5332, 22426, 21292, 6, 80264, 4, 36324, 75230, 163139, 2181, 21923, 55242, 1644, 96986, 1285, 81444, 20911, 75230, 16847, 199145, 10213, 81371, 8903, 1211, 7746, 7265, 5332, 25605, 160751, 12483, 2200, 137, 34079, 12483, 155, 119718, 120467, 119055, 76632, 61397, 5, 13159, 21923, 81444, 10339, 109316, 564, 54260, 119055, 13845, 107581, 657, 54260, 4944, 18415, 1470, 54260, 110970, 80453, 31623, 109226, 7265, 2808, 54260, 5666, 7201, 26612, 4667, 6, 82576, 15350, 15533, 54196, 15, 8903, 88660, 40920, 16, 119055, 59929, 6093, 84475, 4838, 107189, 2442, 7508, 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 ]

[ 110317, 17310, 2702, 144754, 13845, 3056, 3523, 75230, 15231, 2932, 4, 95298, 95455, 65146, 10213, 29659, 710, 63532, 119055, 6093, 12483, 3120, 20315, 2050, 81444, 20911, 29766, 130170, 119055, 63593, 172398, 1470, 75230, 184537, 710, 40920, 18225, 6235, 7916, 13497, 7746, 5, 7916, 2932, 5, 11653, 36324, 75230, 55242, 506, 2882, 1470, 75230, 2702, 4838, 3523, 80453, 710, 89930, 15350, 132, 144754, 4838, 145813, 54260, 3120, 4269, 212484, 84475, 6, 78683, 18340, 183202, 16, 6, 159696, 8903, 1211, 2932, 171433, 29766, 4113, 4113, 5, 506, 15907, 7746, 56170, 1285, 119055, 10705, 83182, 2702, 199145, 874, 48904, 107581, 81444, 20911, 75230, 16847, 6, 225975, 12483, 13342, 38, 1285, 3069, 43649, 23173, 39340, 1751, 97634, 55823, 1211, 199145, 119055, 6093, 12483, 1470, 54260, 23405, 79238, 80453, 710, 56169, 564, 184855, 151227, 3069, 130170, 1982, 25207, 4944, 12483, 21776, 2050, 1470, 75230, 2702, 21066, 14088, 4, 21923, 1751, 16870, 32792, 5, 6255, 238144, 2702, 7243, 1470, 75230, 1982, 1285, 17824, 13159, 18415, 620, 26612, 40920, 2205, 4838, 6, 112353, 37826, 119055, 12483, 46598, 68313, 6235, 101296, 40920, 14856, 46244, 46050, 109636, 75386, 163139, 4, 2205, 4838, 122868, 63593, 54260, 1211, 4, 1285, 29434, 5, 9934, 75230, 2932, 101296, 66293, 95766, 1470, 54260, 1211, 6, 101328, 46244, 4, 2205, 4838, 17824, 75230, 101608, 43649, 142429, 2882, 4, 7265, 7508, 6093, 10213, 506, 183512, 1644, 17310, 3120, 2932, 171433, 29766, 4113, 4113, 711, 26612, 117902, 2442, 10213, 46685, 4484, 17310, 29789, 5, 292, 15864, 5666, 30750, 6, 59919, 159696, 13805, 1644, 12483, 1285, 6, 113889, 113889, 25207, 4113, 7265, 15857, 46590, 21292, 2200, 6428, 135118, 12483, 6150, 4269, 171433, 29766, 4113, 4113, 3056, 49920, 89184, 16932, 4, 81444, 2050, 364, 54260, 16803, 36324, 22753, 4231, 93509, 26, 29060, 7746, 5, 48494, 203232, 3056, 7243, 6, 120749, 18640, 5, 10069, 4269, 171433, 29766, 4113, 4113, 3056, 4838, 657, 218241, 21106, 4113, 30109, 48904, 15307, 54260, 2882, 2200, 7243, 6319, 54260, 1211, 4838, 122868, 63593, 54260, 23269, 141535, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 119718, 710, 1285, 15857, 46590, 21292, 4, 2200, 6235, 506, 2882, 6319, 54260, 1211, 874, 39083, 7243, 40653, 3069, 1285, 114955, 95766, 10676, 6, 109995, 3120, 6, 142673, 506, 5, 10069, 30109, 48904, 39340, 199145, 657, 54260, 20315, 1211, 3120, 4269, 171433, 29766, 4113, 4113, 6428, 23173, 55823, 1211, 7746, 364, 21106, 96986, 2442, 54260, 1211, 4, 7746, 72577, 119055, 26612, 3131, 12483, 1285, 364, 141943, 125523, 10676, 10213, 65606, 25207, 1211, 3120, 1285, 74806, 1644, 91595, 16803, 54260, 28726, 74, 220224, 170479, 12483, 620, 29771, 55823, 1211, 6, 21106, 54260, 1211, 2205, 4838, 564, 29060, 4, 84475, 159696, 1211, 220224, 21923, 6235, 8300, 119718, 2808, 109226, 3069, 16175, 54260, 1644, 12483, 95455, 564, 29060, 7265, 221895, 4, 9934, 29766, 1644, 12483, 220224, 9934, 29766, 8903, 1211, 36324, 220224, 6093, 34076, 9221, 170479, 220224, 1211, 72577, 4838, 144532, 8903, 119718, 125897, 21295, 2200, 4852, 39083, 7243, 6, 104378, 2205, 10213, 65606, 2442, 17310, 7265, 4151, 119055, 79238, 199145, 6, 65606, 33716, 6, 68558, 4852, 54260, 6093, 564, 29060, 135947, 5, 10069, 30109, 171433, 40697, 4269, 171433, 29766, 4113 ]

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

[ 4113, 564, 54260, 2050, 6, 212915, 5, 292, 177157, 22426, 97634, 51723, 5, 2808, 75230, 1982, 1285, 4838, 17494, 18415, 4269, 171433, 29766, 4113, 4113, 37826, 7746, 42493, 6235, 506, 54260, 21295, 84475, 3056, 7511, 2882, 6235, 506, 54260, 21295, 6235, 119718, 29766, 12483, 4, 55242, 506, 2882, 18225, 56170, 4838, 657, 141847, 123073, 9424, 54260, 2882, 4838, 46711, 137377, 12483, 17824, 24295, 32792, 238144, 101608, 67882, 16932, 17645, 6, 23173, 75230, 2702, 104378, 2205, 4151, 40026, 506, 4, 564, 54260, 2050, 2808, 75230, 135469, 20616, 1211, 2819, 4151, 46711, 137377, 12483, 42542, 1470, 75230, 4667, 6, 23173, 75230, 2702, 104378, 2205, 221895, 8300, 54260, 96986, 4, 95298, 14856, 46244, 80885, 16667, 3056, 7369, 56170, 47351, 2205, 4151, 40026, 506, 4, 6, 113889, 133324, 46598, 119718, 710, 18225, 37826, 1470, 54260, 23405, 20616, 21106, 96986, 10676, 179096, 1211, 1285, 4269, 48904, 26394, 6, 76776, 40920, 5, 1285, 168155, 2808, 75230, 2702, 21066, 24244, 42542, 132025, 506, 21106, 96986, 14856, 46244, 123073, 73880, 84475, 6, 101328, 46244, 12483, 5, 1285, 25616, 48904, 15307, 54260, 2882, 42542, 220224, 1211, 2205, 21776, 2050, 45521, 35189, 105235, 1211, 20585, 3120, 26, 2050, 213909, 21106, 4, 3120, 35189, 34482, 29060, 506, 48775, 84475, 22753, 42542, 220224, 1211, 7508, 7682, 159696, 33716, 2702, 2205, 213909, 21106, 5, 2205, 1644, 21660, 96986, 10339, 21106, 55242, 506, 2882, 18225, 123736, 23741, 6319, 54260, 1211, 67882, 16932, 17645, 5, 18225, 42542, 130170, 3131, 54260, 20315, 1211, 119055, 10705, 1285, 30109, 48904, 15307, 54260, 2882, 6235, 7916, 13497, 7746, 37729, 4151, 58573, 29766, 4113, 3120, 1285, 8300, 238144, 34076, 48350, 6093, 5, 18225, 6, 212484, 2882, 10676, 179096, 1211, 3069, 6093, 29659, 2205, 1470, 54260, 1211, 4269, 212484, 2200, 94741, 1211, 2205, 47833, 4838, 83182, 4269, 212484, 2819, 1470, 75230, 1982, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 6, 104985, 160238, 35596, 4, 159696, 2882, 4151, 184639, 179096, 1211, 220224, 1211, 81414, 1982, 2200, 4151, 9424, 238144, 16932, 19302, 29766, 2808, 75230, 1982, 1285, 30109, 48904, 15307, 54260, 2882, 3056, 6, 104985, 7508, 7682, 159696, 33716, 2702, 3056, 7508, 6093, 9424, 238144, 16932, 179096, 1211, 65848, 1982, 2200, 7508, 6093, 184639, 19302, 29766, 5, 9747, 1470, 75230, 2702, 13342, 8903, 7916, 49008, 1470, 75230, 1982, 1285, 25616, 48904, 15307, 54260, 2882, 3056, 40653, 506, 75230, 22426, 2882, 4838, 4269, 171433, 29766, 4113, 4113, 4, 65146, 18225, 10213, 236376, 12483, 20315, 2050, 179096, 1211, 2819, 14856, 46244, 123073, 874, 39083, 6235, 7511, 13497, 8947, 1470, 30682, 3069, 10213, 236376, 12483, 144754, 10676, 1470, 75230, 2932, 2819, 119055, 12483, 3523, 75230, 15231, 2932, 1285, 45521, 30979, 199145, 6235, 7916, 49008, 7746, 2205, 2808, 30682, 4, 2200, 1285, 67882, 16932, 17645, 84475, 6, 57277, 39340, 10676, 179096, 1211, 4, 130170, 46464, 4944, 12483, 7265, 20315, 2050, 6, 134067, 90848, 95564, 137377, 4, 84475, 10676, 213909, 21106, 4, 7265, 224252, 15529, 96302, 12483, 5, 221895, 177157, 22426, 97634, 51723, 3120, 30109, 171433, 152185, 4269, 171433, 29766, 4113, 4113, 4, 199145, 51678, 220224, 1211, 4, 95298, 2932, 171433, 29766, 4113, 4113, 133826, 11556, 104149, 42493, 220224, 1211, 4, 21923, 152, 34482, 45619, 25207, 1211, 3069, 123736, 23741 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 47351, 2190, 76776, 23405, 65482, 56417, 6235, 111684, 2442, 564, 54260, 2050, 132025, 7201, 48904, 2932, 84475, 564, 54260, 2050, 5332, 152848, 3120, 34482, 45619, 25207, 1211, 4, 4838, 55242, 46244, 657, 54260, 40920, 12483, 85596, 71945, 3120, 9424, 54260, 2882, 3069, 9424, 54260, 2882, 2205, 213909, 21106, 84475, 2205, 1285, 6235, 8903, 16747, 12483, 23173, 14088, 1285, 74806, 1644, 91595, 2702, 29766, 119859, 49008, 5, 1285, 39293, 177157, 22426, 97634, 51723, 51678, 95298, 220273, 104378, 3120, 221895, 30109, 48904, 15307, 54260, 96986, 84475, 123736, 42023, 6319, 54260, 1211, 69529, 30109, 48904, 15307, 54260, 2882, 4, 1982, 54260, 874, 114436, 199145, 21776, 8903, 1211, 7746, 3069, 7916, 13845, 230764, 74806, 1644, 91595, 32792, 5, 2200, 40653, 506, 75230, 22426, 2882, 3056, 8947, 163139, 40920, 18640, 3069, 10213, 97634, 49008, 36324, 3373, 26, 68313, 55242, 46244, 657, 54260, 40920, 7746, 1470, 54260, 5666, 72631, 16870, 12483, 4838, 30109, 54260, 20260, 37729, 874, 48904, 107581, 163139, 24152, 149010, 84475, 1470, 54260, 5666, 8903, 44693, 25207, 18415, 8903, 111684, 1644, 12483, 2205, 2200, 4838, 68550, 1285, 73095, 13805, 905, 109316, 6, 29766, 119859, 49008, 5, 1285, 199145, 51678, 42493, 20315, 20260, 12483, 6, 48775, 10918, 232187, 1644, 4, 1285, 199145, 17806, 165354, 3069, 7916, 13845, 230764, 7746, 4, 1285, 199145, 364, 21106, 96986, 29659, 186797, 2205, 1470, 54260, 1211, 21422, 16932, 12483, 56170, 7746, 2200, 34076, 75230, 1982, 12483, 36324, 220224, 657, 54260, 20315, 1211, 2205, 21106, 7611, 199145, 220224, 17190, 104149, 2200, 49920, 12483, 4, 1285, 137, 25616, 171433, 40697, 9934, 29766, 61397, 2702, 2004, 1285, 137, 4484, 90848, 29171, 119718, 29766, 12415, 93497, 2004, 364, 21106, 96986, 7746, 6319, 54260, 1211, 874, 39083, 56170, 6235, 4852, 88917, 84475, 6235, 506, 54260, 21295, 2200, 159696, 25207, 1211, 4838, 657, 54260, 4944, 16932, 120202, 59919, 56170, 1285, 1751, 119718, 710, 152848, 50853, 29771, 20911, 75230, 16847, 5, 2865, 48904, 107581, 4231, 17310, 4113, 657, 54260, 2882, 199145, 151614, 1982, 12483, 42493, 6319, 54260, 1211, 10213, 68566, 6293, 3120, 10676, 130170, 16629, 2648, 9424, 119718, 40697, 1211, 133190, 2865, 21106, 12483, 2200, 42493, 133190, 2865, 21106, 12483, 179096, 1211, 4, 17806, 165354, 230764, 4852, 54260, 6093, 179096, 1211, 2200, 364, 21106, 96986, 1470, 30682, 56170, 70695, 20260, 4, 3496, 64260, 3131, 95455, 199145, 220224, 39293, 506, 12483, 4151, 8580, 3056, 163139, 8947, 6, 94741, 63020, 3069, 220224, 1211, 5, 2808, 75230, 1982, 8947, 3056, 45521, 16803, 190135, 6150, 18225, 657, 54260, 2648, 2882, 3120, 4838, 30109, 171433, 152185, 2932, 171433, 29766, 4113, 4113, 4, 4838, 46590, 905, 119055, 12483, 3373, 26, 68313, 42493, 29771, 6319, 54260, 1211, 69529, 1470, 75230, 2702, 21066, 24244, 3120, 67882, 16932, 17645, 4, 119718, 710, 8947, 6, 186145, 23741, 7746, 123736, 23741, 4, 292, 170479, 18225, 42493, 364, 54260, 48775, 96986, 4, 6, 238144, 1644, 18225, 42542, 4484, 48775, 20260, 67882, 4944, 12483, 1285, 32054, 75230, 5, 119718, 120467, 6, 48904, 69801, 48904, 98833, 1285, 10213, 506, 183512, 1644, 17310, 4, 3056, 22753, 45521, 93509, 88945, 1211, 125523, 21776, 2050, 7201, 21106, 5, 18225, 6, 94741, 63020, 7746, 42493, 6, 59919, 212484, 12483, 230764, 133519, 199145, 6, 225975, 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 ]

[ 36324, 137, 4852, 54260, 85465, 200117, 12483, 7369, 7201, 26612, 46244, 17310, 155, 2819, 1470, 75230, 4667, 42493, 230764, 6, 47351, 4838, 204403, 18415, 75290, 199145, 163139, 1644, 59919, 4484, 75230, 55823, 1211, 220224, 1211, 3373, 42695, 506, 2200, 3056, 2190, 5666, 119718, 21292, 141943, 6, 159696, 8903, 1211, 4151, 30109, 48904, 15307, 54260, 2882, 4, 2808, 75230, 4667, 42493, 230764, 81444, 20911, 75230, 16847, 199145, 6, 23173, 159696, 33716, 54260, 104149, 7746, 84475, 199145, 225975, 12483, 3069, 3523, 189989, 5, 3069, 6319, 54260, 1211, 88771, 26, 4113, 4, 221067, 4, 1751, 109636, 10918, 21106, 34533, 12483, 51678, 6, 148222, 68697, 54260, 16932, 42493, 6235, 506, 12483, 4, 6, 238144, 1644, 8947, 6, 88660, 16803, 3069, 16175, 54260, 6093, 7746, 564, 54260, 220224, 3069, 30750, 506, 183512, 1644, 12483, 2819, 1470, 75230, 1982, 220224, 51678, 4, 170479, 12483, 220224, 95455, 6, 80264, 5, 45521, 95064, 16803, 42493, 54595, 6319, 54260, 1211, 88771, 26, 6093, 1751, 109636, 10918, 21106, 34533, 6, 93704, 159696, 33716, 54260, 4852, 2882, 7746, 6319, 54260, 1211, 874, 39083, 42493, 2205, 4484, 54260, 1211, 9424, 54260, 2882, 17310, 5, 6235, 159696, 506, 5666, 149010, 4, 10213, 3131, 54260, 2648, 65482, 4, 4838, 122868, 63593, 54260, 23269, 6, 80453, 129071, 123329, 119718, 120467, 6, 101470, 7746, 130170, 1470, 54260, 4667, 3069, 10213, 506, 183512, 1644, 12483, 4, 95298, 199145, 6, 225975, 12483, 43900, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 2808, 54260, 4667, 220273, 42493, 3069, 4, 51678, 160751, 12483, 4838, 221067, 10213, 506, 183512, 1644, 17310, 4, 6428, 99766, 119055, 10705, 51723, 42542, 42493, 6235, 506, 12483, 3069, 1211, 4838, 145813, 21660, 137218, 7972, 40920, 5, 6255, 7501, 40653, 8300, 54260, 98833, 36324, 39293, 46244, 123736, 23741, 6428, 75230, 77188, 1285, 30109, 48904, 15307, 54260, 2882, 6, 71804, 23405, 37729, 3069, 7916, 13845, 10213, 74, 48904, 2442, 1644, 17310, 4, 874, 48904, 4944, 2865, 39083, 37729, 10676, 199145, 4151, 81444, 20911, 29766, 163139, 1644, 101470, 14856, 46244, 6235, 50853, 3120, 10676, 112216, 10918, 35596, 12483, 4, 874, 48904, 4944, 2865, 39083, 7265, 4151, 10213, 82576, 4838, 1982, 30473, 40920, 4, 4838, 46590, 905, 123736, 42023, 6235, 50853, 4, 6428, 135118, 186797, 36324, 199145, 14856, 46244, 18225, 6, 159696, 103955, 506, 183512, 1644, 12483, 4, 95455, 216333, 119055, 29060, 8947, 220224, 1211, 5, 1285, 4269, 171433, 29766, 4113, 4113, 3056, 215031, 25616, 48904, 15307, 54260, 2882, 199145, 42542, 7746, 123736, 23741, 55242, 46244, 657, 54260, 40920, 364, 54260, 1644, 12483, 4, 95298, 123736, 23741, 17160, 54260, 47332, 22753, 1470, 54260, 5666, 8903, 119718, 63864, 26394, 21295, 199145, 18225, 170479, 42493, 6, 80264, 4, 163139, 5332, 46244, 32792, 4, 119718, 710, 6, 159696, 110317, 84475, 163139, 10184, 13845, 18225, 170479, 42493, 10676, 112216, 10918, 35596, 12483, 10213, 85465, 47526, 12483, 5, 1285, 364, 75230, 22426, 2882, 170355, 4667, 3056, 1285, 1470, 75230, 7201, 111684, 2442, 17310, 3120, 10676, 70695, 20260, 12483, 2819, 1470, 75230, 75578, 364, 15907, 7746, 123736, 1982, 163139, 8947, 6, 94741, 63020, 3069, 220224, 1211, 4, 42542, 7369, 14856, 46244, 80885, 16667, 6235, 506, 54260, 21295, 159696, 25207, 1211, 123736, 42023, 6319 ]

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

[ 54260, 1211, 19767, 10213, 506, 183512, 1644, 17310, 3120, 26612, 81444, 20911, 29766, 5, 6, 21106, 88660, 506, 39083, 40697, 6235, 23822, 135118, 4113, 15, 238144, 1211, 4, 564, 63188, 4, 9721, 171433, 55823, 1211, 247, 45521, 59919, 4, 1751, 23173, 55823, 4, 364, 23173, 30750, 4, 6235, 55823, 59919, 18415, 145813, 54260, 104149, 4, 6235, 4852, 54260, 77188, 79238, 22426, 54260, 104149, 4, 55242, 5666, 6293, 15, 87311, 16803, 23173, 2442, 247, 21776, 2882, 18167, 4, 8947, 18640, 4, 6, 168104, 109316, 4, 5332, 18415, 5, 4, 21923, 26612, 1982, 2702, 39083, 36609, 10339, 139365, 64260, 12483, 5, 46654, 54260, 3131, 2200, 10184, 3131, 4, 2200, 8248, 109636, 1211, 3120, 220224, 4, 68313, 216333, 1470, 75230, 2702, 13342, 2865, 54260, 20315, 1211, 5, 18225, 6, 94741, 63020, 199145, 14856, 46244, 22444, 506, 4, 199145, 119055, 76632, 61397, 6235, 506, 12483, 5, 6, 63188, 12483, 166464, 4838, 17190, 1982, 149010, 119055, 48904, 4113, 5, 8947, 12483, 80839, 40920, 2205, 72577, 74, 2808, 75230, 4667, 81414, 20260, 12483, 4838, 3373, 4667, 119055, 59929, 6093, 5, 45521, 70598, 54260, 20315, 1211, 73095, 13805, 905, 109316, 1211, 6, 59919, 39340, 46244, 2200, 10069, 6235, 39293, 1644, 95494, 23741, 3120, 32054, 75230, 12483, 2819, 45521, 70598, 54260, 25207, 1211, 76961, 2702, 199145, 42542, 1470, 75230, 22680, 4113, 8903, 1211, 74806, 1644, 91595, 32792, 5, 199145, 6, 48904, 30750, 186145, 23741, 1285, 657, 218241, 21106, 4113, 10213, 506, 183512, 1644, 33104, 5666, 144754, 216450, 905, 96302, 12483, 6, 29766, 6093, 7265, 1470, 54260, 110970, 80453, 31623, 109226, 3120, 17190, 119718, 183216, 7265, 24621, 10069, 78683, 96302, 12483, 4, 3056, 95455, 42493, 2205, 177274, 1211, 10339, 21106, 3523, 75230, 15231, 2932, 5, 14856, 10069, 78683, 96302, 12483, 1470, 54260, 57619, 905, 101470, 21923, 6319, 54260, 1211, 874, 39083, 42493, 3523, 75230, 15231, 2932, 2819, 18225, 42542, 7746, 95766, 6, 119859, 57619, 12483, 123736, 42023, 220224, 10213, 8903, 506, 12483, 5, 95766, 82977, 6, 101328, 24152, 42542, 6, 47351, 4838, 68697, 54260, 16932, 4, 199145, 37826, 42493, 6319, 54260, 1211, 6, 195054, 127731, 75230, 2702, 8903, 7916, 49008, 1470, 75230, 1982, 7369, 37826, 4838, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 4, 6, 119859, 69106, 2190, 112304, 34533, 4, 564, 54260, 2050, 191795, 159870, 123736, 6293, 45223, 23093, 4, 63902, 3373, 216510, 215412, 4, 6, 68550, 2248, 418, 4, 87311, 13497, 64567, 4, 7265, 119718, 29771, 4667, 6, 29766, 6093, 32054, 54260, 97634, 2932, 9424, 119718, 40697, 1211, 116, 2200, 201, 6, 113889, 4944, 9719, 97634, 2932, 84475, 2442, 171127, 29771, 2932, 4, 81444, 23269, 112956, 84475, 65307, 9424, 119718, 40697, 1211, 483, 2200, 534, 160238, 9719, 97634, 2932, 2819, 51723, 119055, 29060, 220224, 160751, 12483, 4838, 32054, 54260, 4113, 2200, 192183, 7916, 20315, 112690, 109316, 5332, 8632, 4, 95298, 6319, 54260, 1211, 30750, 506, 183512, 1644, 17310, 5, 56170, 564, 55049, 79981, 2200, 6319, 119718, 100810, 3056, 56170, 47351, 1285, 191795, 159870, 123736, 6293, 506, 13845, 23093, 65902, 29171, 3120, 387, 29434, 710, 18415, 5332, 159696, 96951, 4, 564, 55049, 79981, 2819, 177274, 1211, 166464, 3120, 2932, 171433, 29766, 4113, 4113, 2592, 2947, 78278, 534, 160238, 9719 ]

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

[ 97634, 2932, 2200, 6428, 171127, 18640, 2200, 32054, 54260, 97634, 2932, 4838, 1982, 141943, 3120, 382, 78278, 3569, 113889, 4667, 6, 75322, 39083, 4, 292, 710, 172312, 151614, 1982, 12483, 1470, 54260, 35189, 18225, 3056, 162926, 36324, 18225, 68313, 1470, 75230, 2702, 8903, 506, 54260, 21295, 4, 3056, 4838, 24012, 35189, 23822, 91595, 18640, 10339, 139365, 25207, 4944, 12483, 5, 130170, 6319, 54260, 1211, 60732, 101251, 105235, 16747, 12483, 170479, 18225, 95455, 42493, 6, 80264, 711, 9213, 46244, 119055, 29060, 23165, 49920, 12483, 4151, 26394, 54574, 12483, 36324, 874, 114436, 7265, 4838, 162926, 6093, 30109, 171433, 152185, 4269, 171433, 29766, 4113, 109316, 1982, 12483, 7265, 220224, 123073, 32054, 75230, 12483, 6, 101328, 46244, 12483, 71804, 23405, 2200, 6, 105235, 165354, 220224, 42493, 6, 68558, 2819, 2648, 120467, 3056, 88771, 4, 3496, 64260, 3131, 18225, 6, 238144, 16803, 42493, 9213, 46685, 1470, 75230, 1982, 1285, 32054, 75230, 119055, 29060, 7511, 2882, 1751, 109636, 16932, 6319, 48775, 20260, 119055, 6093, 12483, 2819, 3373, 26, 68313, 88771, 36324, 4838, 3373, 4667, 10339, 109316, 3120, 14081, 16932, 4269, 171433, 29766, 4113, 4113, 21923, 42493, 132025, 105235, 39340, 16747, 4, 95298, 123736, 23741, 2865, 39083, 119055, 6093, 12483, 165592, 13845, 107581, 10339, 109316, 162726, 21660, 32792, 132025, 105235, 39340, 16747, 5, 18225, 42542, 42493, 163139, 2702, 12483, 711, 2932, 171433, 29766, 4113, 4113, 2205, 21776, 20911, 14088, 5, 292, 95455, 3056, 4838, 3069, 29659, 183512, 199145, 42542, 4944, 107182, 6, 104985, 160238, 104378, 564, 54260, 14856, 110970, 12483, 7265, 119055, 13845, 107581, 18225, 37826, 74806, 1644, 91595, 149010, 1211, 6, 59919, 39340, 46244, 2205, 21776, 20911, 14088, 4, 564, 54260, 32054, 75230, 12483, 2200, 4231, 17310, 44779, 4, 55242, 21295, 114436, 1982, 54260, 895, 16932, 4113, 874, 114436, 5, 1285, 10213, 506, 183512, 1644, 17310, 10213, 105235, 506, 2882, 2205, 22444, 506, 4, 6, 120749, 93975, 10069, 4113, 18415, 4, 220224, 30750, 35189, 4, 1470, 54260, 110970, 80453, 31623, 109226, 5, 88660, 2865, 22426, 105330, 215726, 2702, 3120, 4269, 171433, 29766, 4113, 4113, 5, 292, 6, 35596, 10918, 16747, 17310, 3120, 4151, 80453, 120467, 57277, 57277, 4, 4838, 174763, 84475, 30109, 171433, 13456, 5, 177157, 22426, 97634, 51723, 12, 6235, 111684, 1644, 69355, 1751, 159696, 24152, 54260, 2882, 2200, 6428, 55049, 16175, 17645, 6293, 2205, 10213, 165354, 84475, 2205, 21776, 20911, 14088, 2819, 2865, 48904, 4944, 2865, 39083, 10498, 6093, 8580, 564, 54260, 4151, 7369, 37016, 10918, 68558, 15, 29659, 54260, 6293, 119055, 6093, 12483, 3120, 6, 109636, 99611, 247, 73906, 15231, 8903, 117902, 12666, 10918, 239162, 1211, 4, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 564, 54260, 2050, 34482, 45619, 25207, 1211, 2819, 55242, 1644, 96986, 35596, 119718, 125897, 21295, 7746, 6, 47351, 4838, 1982, 2702, 26394, 2702, 2205, 4151, 116486, 2702, 57277, 57277, 5, 292, 10213, 506, 183512, 1644, 17310, 12, 10213, 186145, 506, 4, 6319, 21106, 18415, 2190, 14857, 147713, 12483, 7508, 7682, 159696, 33716, 2702, 3120, 1285, 32887, 175483, 1644, 12483, 2819, 4838, 3373, 4667, 119055, 59929, 6093, 81414, 20260, 12483, 4, 10339, 59929, 96986, 84475, 43449, 75230, 4852, 7544, 66317, 4, 119055, 23173, 24621, 84475, 6319, 21106, 18415, 22753, 7611, 30750, 35189 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 564, 54260, 162926, 12483, 4838, 1982, 2702, 26394, 2702, 874, 48904, 4944, 2865, 39083, 364, 54260, 36419, 6319, 40096, 71577, 1644, 59929, 51723, 2819, 119055, 23173, 24621, 19302, 34533, 9221, 12483, 4, 6319, 54260, 23269, 34482, 29060, 506, 48775, 28726, 2808, 54260, 110970, 80453, 31623, 109226, 2819, 2205, 10339, 21106, 3120, 4838, 1982, 2702, 26394, 2702, 42542, 8947, 6, 75322, 39083, 3523, 75230, 15231, 2932, 220224, 1211, 13342, 120202, 6093, 9221, 12483, 5, 95455, 3056, 76961, 2702, 564, 54260, 4838, 17494, 16932, 116486, 16803, 40096, 710, 92178, 2819, 564, 54260, 25616, 171433, 152185, 116486, 16803, 40096, 710, 92178, 3056, 1285, 10213, 506, 183512, 1644, 17310, 6, 20616, 5666, 32792, 3069, 4151, 3120, 25616, 171433, 152185, 4269, 171433, 29766, 4113, 4113, 2819, 874, 59929, 165592, 3131, 3120, 4151, 116486, 2702, 57277, 57277, 4, 7265, 10676, 223390, 6093, 37729, 10676, 21776, 20911, 14088, 4, 42542, 6, 75322, 39083, 3523, 75230, 15231, 2932, 220224, 1211, 4, 95298, 55242, 1644, 96986, 2819, 104985, 182261, 119055, 77188, 95455, 3069, 123736, 23741, 6235, 13458, 75230, 40920, 2200, 55242, 46244, 10184, 109316, 101251, 46464, 80885, 92500, 1751, 159696, 2442, 45521, 17800, 29766, 4113, 159696, 18415, 81444, 71804, 69452, 119055, 6093, 12483, 4838, 159696, 4484, 8903, 8903, 1982, 12483, 6681, 1285, 39293, 10705, 5666, 7511, 8300, 149010, 4, 874, 232187, 96986, 71804, 23405, 6428, 75230, 6093, 186797, 4113, 874, 59929, 165592, 3131, 12483, 711, 152837, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 10069, 564, 212484, 4, 119055, 10705, 4151, 179096, 1211, 6235, 7916, 13497, 7746, 56170, 220224, 1211, 6, 23173, 75230, 2702, 8903, 42023, 37729, 7508, 6093, 34482, 29060, 506, 48775, 4, 42542, 6, 75322, 39083, 6319, 48775, 20260, 119055, 6093, 12483, 7265, 4269, 171433, 29766, 4113, 4113, 4, 92605, 36609, 84475, 30109, 171433, 13456, 5, 20033, 119055, 109316, 1211, 1285, 39293, 224220, 22426, 7972, 78683, 10918, 68558, 81444, 42493, 1982, 174798, 54260, 1982, 12483, 4, 6, 238144, 1644, 22753, 3056, 55242, 46244, 55242, 1644, 96986, 2819, 119055, 12483, 22753, 107776, 160238, 4, 3056, 22753, 4944, 107182, 47783, 45521, 70380, 170355, 40920, 37729, 2190, 5666, 120749, 93975, 10213, 506, 183512, 1644, 17310, 5, 2808, 75230, 4667, 1285, 6, 235210, 12483, 130929, 4852, 44779, 51678, 6319, 48775, 20260, 119055, 6093, 12483, 4838, 75386, 26612, 10339, 39083, 8903, 3120, 4269, 171433, 29766, 4113, 4113, 5, 1285, 10213, 506, 48904, 2442, 1644, 17310, 3056, 163139, 564, 54260, 116486, 16803, 40096, 710, 92178, 5, 26612, 163139, 40920, 93975, 2200, 657, 54260, 35189, 123736, 23741, 4113, 6, 59919, 119718, 7682, 1644, 17310, 3120, 4269, 171433, 29766, 4113, 4113, 2205, 10069, 6, 35596, 10918, 16747, 17310, 3120, 1285, 32887, 175483, 1644, 12483, 2200, 3120, 10676, 5332, 22426, 69031, 10069, 189098, 5, 10069, 30109, 48904, 15307, 54260, 96986, 119055, 6093, 12483, 132025, 61397, 25046, 12483, 6, 29766, 16580, 92178, 2200, 5332, 22426, 59195, 710, 9719, 92178, 5, 220224, 6, 104378, 14856, 46244, 80885, 16667, 160238, 4838, 2050, 132025, 7201, 48904, 2932, 3120, 35189, 4838, 17494, 16932, 4269, 171433, 29766, 4113, 4113, 5, 34482, 170355, 4944, 12483, 152, 200795, 16667, 6, 57277, 39340, 1285, 4269, 171433, 29766, 4113, 4113, 14081, 54260 ]

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

[ 1211, 4, 119055, 12483, 22753, 3056, 55242, 46244, 1751, 57277, 24152, 4, 55242, 46244, 17288, 23741, 18640, 2819, 95298, 123736, 23741, 1470, 75230, 4667, 13342, 43649, 23173, 39340, 4, 7508, 54260, 26394, 152848, 1470, 54260, 110970, 80453, 31623, 109226, 3069, 40026, 506, 4, 1285, 14856, 10069, 78683, 96302, 12483, 119718, 120467, 18225, 235466, 1470, 54260, 1211, 4, 74806, 1644, 91595, 149010, 1470, 75230, 22680, 4113, 2932, 17310, 4, 3069, 7916, 13845, 6235, 506, 12483, 4, 2882, 159696, 2442, 4838, 68697, 54260, 96986, 2205, 7508, 6093, 9424, 54260, 2882, 3120, 26, 2050, 4838, 17494, 96986, 4838, 155341, 32097, 3120, 6, 113889, 113889, 25207, 4113, 4, 13342, 7916, 13845, 10213, 506, 183512, 1644, 17310, 7265, 224252, 15529, 96302, 12483, 5, 177157, 22426, 97634, 51723, 12, 23847, 75230, 101608, 119055, 20616, 97634, 2932, 2205, 10676, 32887, 13805, 46545, 13845, 4, 43649, 23173, 39340, 1751, 159696, 1644, 17310, 2200, 7508, 75230, 2882, 17310, 3120, 34654, 104149, 123736, 48974, 47351, 2200, 3120, 23050, 1982, 12483, 506, 29766, 12483, 4, 10184, 75578, 7265, 76961, 220224, 23269, 7201, 39083, 8903, 4, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 3069, 6235, 506, 12483, 2819, 874, 48904, 4944, 2865, 39083, 163825, 29060, 7746, 6, 47351, 4838, 1982, 2702, 26394, 2702, 2205, 32887, 175483, 13845, 5, 10213, 506, 183512, 1644, 17310, 12, 10339, 39083, 2882, 2882, 186797, 6093, 77525, 2205, 564, 29060, 4, 10339, 59929, 96986, 4, 119055, 59929, 6093, 81414, 20260, 12483, 4, 1751, 109636, 16932, 4, 1285, 10069, 4113, 18415, 163139, 564, 54260, 4269, 171433, 29766, 4113, 4113, 2819, 95455, 30109, 48904, 39340, 123736, 48974, 47351, 1054, 39083, 220224, 1211, 1470, 75230, 111137, 506, 26612, 183216, 2205, 4838, 6, 56052, 564, 54260, 18415, 1644, 15, 202075, 109636, 16667, 29766, 710, 16, 564, 54260, 2050, 6235, 506, 12483, 2819, 564, 54260, 2050, 6, 186461, 12483, 2205, 564, 29060, 170479, 8947, 22444, 506, 12483, 230764, 4838, 364, 183512, 2882, 31212, 199145, 18225, 167048, 87442, 2808, 75230, 2702, 40653, 1285, 6, 131445, 2200, 199145, 18225, 564, 73381, 119273, 176727, 7508, 7682, 159696, 33716, 2702, 7265, 4852, 88680, 506, 54260, 125830, 113889, 55546, 12483, 2819, 224220, 80453, 13159, 12483, 2819, 6319, 54260, 23269, 1470, 54260, 110970, 80453, 31623, 109226, 5, 39293, 46244, 55242, 1644, 96986, 3056, 6, 47351, 120202, 6093, 26612, 10918, 68558, 3523, 75230, 15231, 2932, 5, 35596, 10918, 16747, 109226, 2200, 4838, 1982, 2702, 26394, 2702, 12483, 199145, 163825, 12483, 7746, 4838, 75386, 10339, 39083, 8903, 3120, 2932, 171433, 29766, 4113, 4113, 230764, 10676, 6, 109636, 99611, 4, 2205, 4151, 160238, 506, 75230, 2882, 4, 2205, 4151, 1285, 4667, 4, 119055, 6093, 12483, 30750, 506, 183512, 13845, 2882, 125523, 10676, 10339, 21106, 2200, 125523, 4838, 122868, 63593, 54260, 23269, 6, 123131, 103182, 40697, 21776, 21847, 12483, 2648, 120467, 39293, 1644, 30750, 3056, 1470, 75230, 4667, 4151, 10339, 21106, 564, 54260, 4151, 22518, 37016, 149010, 2442, 6, 35596, 10918, 16747, 17310, 3120, 10069, 1470, 75230, 8903, 1211, 199145, 18225, 46050, 98833, 6, 75322, 39083, 37729, 10213, 65606, 25207, 1211, 1285, 1470, 75230, 8903, 1211, 7265, 2932, 171433, 29766, 4113, 4113, 139662, 10069, 364, 141943, 4, 119055, 12483, 220224, 21923, 10213, 101080, 56169, 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 ]

[ 1470, 54260, 16932, 3120, 26, 2050, 115825, 2648, 5, 1285, 39293, 2808, 75230, 8903, 1211, 35596, 10918, 16747, 109226, 9424, 54260, 8903, 1211, 36324, 18225, 6, 94741, 63020, 7746, 364, 21106, 96986, 2205, 4838, 122868, 63593, 54260, 1211, 7508, 54260, 1211, 2200, 10213, 46464, 83182, 2702, 1285, 364, 141943, 4, 119055, 12483, 18225, 37826, 4838, 4269, 171433, 29766, 4113, 4113, 5, 10069, 3373, 65848, 109421, 3056, 4838, 45521, 189623, 61397, 17310, 3120, 10676, 34482, 23093, 48775, 63849, 208048, 17410, 8580, 1470, 54260, 1211, 6, 172060, 185226, 84475, 2205, 14856, 46244, 123073, 6, 172060, 20260, 96986, 84475, 230764, 4838, 657, 141847, 123073, 29659, 25207, 39340, 5, 34482, 170355, 30750, 5, 14856, 46244, 80885, 16667, 4838, 30109, 171433, 40697, 4, 6, 71804, 23405, 6428, 75230, 6093, 186797, 4113, 4269, 171433, 29766, 4113, 4113, 15, 2648, 120467, 190859, 54260, 2882, 42493, 36324, 2205, 177274, 1211, 10339, 21106, 3120, 215031, 56052, 4269, 171433, 29766, 4113, 4113, 65146, 10339, 39083, 8903, 1211, 4838, 3373, 65848, 109421, 5, 16, 874, 48904, 4944, 2865, 39083, 119055, 77188, 22753, 45521, 70380, 170355, 40920, 3120, 6, 119859, 69106, 43649, 23173, 39340, 14856, 10069, 78683, 96302, 12483, 4, 199145, 81444, 20911, 75230, 16847, 160751, 12483, 144754, 21776, 2050, 9424, 159696, 4484, 123736, 1982, 13342, 108209, 26394, 1211, 4, 137, 29771, 1982, 13342, 3131, 5666, 54260, 20315, 1211, 155, 1285, 30109, 48904, 15307, 54260, 2882, 4, 119055, 13845, 4944, 13159, 2205, 6319, 54260, 1211, 874, 39083, 6319, 54260, 1211, 7369, 7201, 39083, 2932, 5, 177157, 22426, 97634, 51723, 12, 10498, 6093, 8580, 4, 13458, 171428, 4, 18225, 34482, 24295, 54196, 6, 29766, 6093, 18225, 163139, 5666, 29659, 3069, 34482, 45619, 25207, 1211, 6, 73381, 16932, 163139, 8903, 159696, 506, 5666, 32792, 4, 4838, 6235, 119718, 710, 36419, 6, 192539, 17310, 2205, 10676, 1751, 226112, 2050, 3120, 26, 2050, 179096, 1211, 564, 54260, 4852, 54260, 1211, 6, 23173, 75230, 2702, 104378, 2819, 6, 104985, 95455, 364, 75230, 22426, 125830, 52480, 22426, 97634, 2050, 3056, 4231, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 3069, 6, 212484, 12483, 95455, 119055, 59929, 6093, 4, 119055, 13845, 107581, 7916, 2932, 5, 29620, 12498, 292, 6, 78683, 23093, 4113, 16932, 15, 2808, 75230, 1982, 12483, 247, 564, 22151, 7511, 15, 10705, 13497, 12483, 194, 7916, 2932, 5, 12511, 292, 58573, 21106, 65482, 3373, 183512, 12483, 5, 159696, 33716, 43649, 23173, 75290, 7265, 10676, 64769, 61397, 159696, 25207, 1211, 3120, 10676, 213909, 21106, 2819, 4838, 75386, 4838, 7201, 39083, 8903, 3120, 1285, 168155, 1751, 119718, 9221, 18640, 4484, 54260, 2882, 4, 42542, 42493, 4151, 179096, 1211, 2205, 6, 119859, 57619, 12483, 23173, 75230, 2702, 2200, 1470, 16175, 54260, 1644, 43449, 54260, 47332, 123736, 23741, 98252, 2205, 4151, 564, 212484, 4, 119055, 13845, 4944, 13159, 42542, 85465, 200117, 12483, 6, 238144, 16932, 4113, 620, 91595, 4113, 10339, 39083, 8903, 1211, 4, 163139, 73784, 564, 54260, 3131, 22426, 710, 13845, 4, 4838, 30109, 48904, 25616, 54260, 2882, 3120, 4151, 564, 212484, 5, 1285, 3373, 65848, 109421, 6, 35596, 119718, 125897, 21295, 7746, 6235, 159696, 506, 5666, 32792, 71804, 23405, 170355, 2050, 2819, 9213, 46244, 6, 35596, 119718, 7682, 1644, 17310, 78278, 18225 ]

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

[ 170479, 4151, 111684, 1644, 12483, 1285, 1751, 119718, 710, 129150, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 215206, 4484, 54260, 2882, 2205, 34482, 45619, 25207, 1211, 4, 42542, 6, 101470, 874, 232187, 96986, 84475, 6, 101328, 46244, 12483, 4, 44064, 963, 84475, 387, 6, 101328, 46244, 2819, 95455, 364, 54260, 16803, 22753, 42542, 6, 104378, 119055, 12483, 1285, 4269, 171433, 29766, 4113, 4113, 68313, 1751, 75230, 1211, 3120, 6, 71804, 23405, 45521, 93509, 119718, 10705, 16747, 12483, 5, 18225, 6235, 7916, 13497, 1470, 75230, 2702, 1470, 75230, 1982, 3373, 26, 68313, 7201, 23173, 47351, 4838, 3373, 65848, 109421, 37729, 6235, 119718, 710, 36419, 224252, 15529, 96302, 12483, 4, 199145, 18225, 22444, 23741, 2702, 171433, 20315, 1211, 84475, 564, 22151, 16629, 4944, 4, 119055, 13845, 107581, 21923, 3120, 58573, 21106, 84475, 69355, 364, 21106, 25559, 23173, 96986, 6, 78683, 36609, 183202, 5, 15, 10069, 1470, 75230, 12890, 8903, 177157, 22426, 97634, 51723, 6, 21106, 54260, 1211, 21923, 42493, 6235, 110317, 141943, 9747, 3069, 67882, 4944, 12483, 4838, 1285, 26612, 2932, 113889, 175483, 4, 6, 238144, 1644, 220224, 51678, 2808, 75230, 4667, 160238, 104378, 564, 54260, 221895, 3069, 105235, 16747, 12483, 5, 16, 1470, 75230, 4667, 4838, 6, 78683, 23093, 6093, 75578, 42542, 6235, 13458, 75230, 40920, 119055, 6093, 12483, 2819, 95455, 3056, 6, 47351, 224252, 15529, 96302, 7265, 6, 92605, 208048, 1644, 22639, 4113, 159696, 110317, 2200, 7265, 9424, 238144, 6, 73381, 43178, 109226, 4, 37729, 119055, 13845, 4944, 12483, 4151, 179096, 1211, 42542, 6, 23173, 75230, 2702, 104378, 4, 1470, 75230, 1982, 18225, 9721, 141847, 2882, 95455, 224252, 15529, 96302, 6, 23173, 54260, 1211, 95766, 4151, 564, 212484, 5, 2200, 6, 57277, 39340, 1285, 39293, 1644, 30750, 224252, 15529, 96302, 12483, 4, 40653, 506, 75230, 22426, 2882, 58573, 21106, 65482, 10339, 171433, 20315, 1211, 4, 119055, 6093, 12483, 132025, 8903, 159696, 16747, 29060, 2205, 4151, 10213, 506, 183512, 1644, 17310, 3120, 34575, 710, 109421, 5, 1285, 10213, 506, 183512, 1644, 17310, 3056, 4838, 6, 71804, 23405, 6428, 75230, 6093, 186797, 4113, 2200, 65146, 6235, 101296, 40920, 119055, 6093, 12483, 3120, 4838, 55242, 46244, 6235, 14004, 1982, 16932, 364, 104274, 4, 1285, 224252, 15529, 96302, 12483, 11556, 104149, 220224, 1211, 17288, 4944, 16803, 9934, 75230, 75578, 4, 72577, 1470, 75230, 2702, 8903, 88660, 40920, 2200, 34076, 40096, 5, 292, 120202, 6093, 26612, 29789, 239162, 1211, 6235, 8903, 1211, 3373, 65848, 109421, 7038, 104149, 6, 75322, 39083, 6235, 101296, 40920, 119055, 6093, 12483, 4, 6, 104985, 55242, 506, 68959, 13845, 96986, 5, 88660, 2865, 22426, 105330, 215726, 2702, 199145, 6, 199511, 7265, 7746, 4838, 364, 23173, 7611, 25616, 48904, 15307, 54260, 97634, 35189, 36324, 13845, 107581, 30109, 48904, 15307, 54260, 96986, 163139, 21776, 73136, 40096, 78653, 21923, 42493, 10213, 119718, 710, 104149, 2200, 110856, 12666, 1470, 75230, 1982, 1285, 10213, 506, 75230, 22426, 2882, 109226, 6, 159696, 8903, 1211, 220224, 6093, 6, 37016, 30473, 80885, 69106, 21923, 6, 120749, 18640, 4, 21923, 220224, 55242, 1644, 96986, 2200, 20033, 51678, 7746, 1470, 54260, 110970, 22426, 29766, 12483, 3069, 22518, 54260, 1982, 12483, 6, 159696, 8903, 1211, 220224, 5, 3131 ]

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

[ 119718, 710, 47526, 12483, 3120, 81444, 20911, 75230, 16847, 152, 10213, 506, 183512, 1644, 17310, 4838, 75386, 4269, 171433, 29766, 4113, 73381, 2884, 6, 47351, 1470, 75230, 2702, 21066, 24244, 3120, 620, 54260, 2050, 199145, 107776, 3120, 1470, 75230, 22680, 4113, 2932, 17310, 2819, 1470, 54260, 50856, 16870, 12483, 10676, 30109, 48904, 165354, 36324, 4838, 42493, 4269, 171433, 29766, 4113, 2808, 152185, 6319, 40096, 23173, 3056, 4269, 171433, 29766, 4113, 4113, 2819, 10705, 5666, 5666, 75230, 15231, 8903, 10213, 506, 183512, 1644, 17310, 3120, 4838, 6235, 506, 54260, 1644, 16932, 4269, 171433, 29766, 4113, 4113, 2819, 10213, 506, 183512, 1644, 17310, 69355, 6, 47351, 1470, 54260, 5666, 8903, 44693, 25207, 16932, 3373, 65848, 109421, 84475, 116486, 16803, 40096, 710, 92178, 4, 5332, 15231, 5, 2932, 171433, 29766, 4113, 4113, 564, 54260, 4151, 32054, 75230, 5, 292, 34482, 170355, 107581, 152, 132025, 105235, 4484, 17310, 37729, 59919, 39340, 46244, 7265, 4838, 6, 212915, 5, 15, 1982, 54260, 4151, 6235, 28726, 8903, 5927, 54260, 2882, 163139, 1644, 6255, 10213, 46685, 165354, 54595, 4269, 171433, 29766, 4113, 4113, 3056, 132025, 15907, 37016, 141943, 56170, 3373, 54260, 6, 159696, 51723, 4, 163139, 6235, 4852, 88917, 18225, 170479, 4852, 171433, 16803, 42493, 220224, 1211, 2200, 163139, 11211, 25222, 161829, 18225, 170479, 42493, 17190, 1982, 12483, 5, 16, 1285, 70695, 5666, 52671, 54260, 2882, 42542, 220224, 1211, 4838, 3373, 4667, 1751, 159696, 2442, 6093, 163139, 564, 54260, 2050, 6, 212915, 4, 6, 238144, 1644, 1285, 32054, 75230, 12483, 29766, 119859, 2932, 171433, 29766, 4113, 4113, 564, 54260, 6, 148346, 2442, 75230, 12483, 758, 38, 418, 49008, 21923, 14856, 46244, 1470, 75230, 2702, 8903, 3131, 80453, 54260, 2882, 2200, 21923, 2205, 45521, 111996, 16747, 17310, 7265, 4151, 1982, 54260, 14325, 13845, 5, 1285, 4269, 171433, 29766, 4113, 4113, 42542, 220224, 1211, 2205, 4151, 34482, 29060, 506, 48775, 4, 2205, 4151, 119718, 133574, 119718, 26612, 4, 2205, 4151, 1751, 54260, 20315, 4, 2205, 4151, 6235, 75578, 11556, 16932, 4, 2205, 34654, 4838, 144532, 93975, 13982, 710, 104149, 2819, 22753, 42542, 7746, 160238, 2882, 39293, 26394, 1211, 2205, 6, 47351, 221895, 2442, 160238, 2050, 2205, 1285, 104855, 12483, 4, 2205, 1285, 1470, 54260, 6093, 105235, 4484, 2200, 2205, 4151, 564, 75230, 25559, 13845, 5, 119055, 12483, 1285, 70695, 20260, 506, 54260, 2882, 3056, 2205, 4151, 34482, 29060, 506, 48775, 4, 21923, 1285, 177157, 22426, 97634, 51723, 1470, 17310, 73381, 20616, 38054, 15533, 13845, 30750, 163139, 564, 54260, 2050, 6, 212915, 4, 4151, 88680, 3056, 42493, 3523, 75230, 15231, 2932, 1285, 564, 174798, 54260, 1982, 17310, 3069, 119718, 88945, 17800, 39083, 12483, 2819, 10498, 6093, 8580, 564, 54260, 2050, 34482, 45619, 25207, 1211, 2819, 1751, 159696, 1644, 17310, 7508, 75230, 2882, 17310, 2205, 35189, 6, 73381, 43178, 17310, 3120, 4151, 34482, 29060, 506, 48775, 2819, 1470, 75230, 2702, 21066, 14088, 3120, 67882, 16932, 17645, 4, 3120, 39293, 22849, 16803, 84475, 564, 54260, 4838, 657, 54260, 40920, 12483, 6428, 55049, 2819, 37729, 130170, 4852, 18340, 17310, 130170, 20315, 2050, 6, 134067, 90848, 95564, 137377, 6235, 7916, 13497, 18225, 10676, 4269, 171433, 218241, 218241, 81050, 4, 10676, 7544, 58679, 200117, 3120, 35189, 4269, 171433 ]

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

[ 29766, 4113, 4113, 5, 1751, 109636, 16932, 119055, 77188, 4151, 3069, 29659, 183512, 657, 54260, 4944, 16932, 2200, 18225, 165354, 43449, 75230, 4852, 55242, 506, 12483, 36324, 4151, 179096, 1211, 3056, 81414, 1982, 2200, 99509, 7265, 45521, 30979, 2819, 39293, 46244, 123736, 23741, 364, 77188, 7265, 4151, 9424, 54260, 2882, 1285, 30109, 48904, 15307, 54260, 2882, 230764, 3069, 220224, 1211, 132025, 15907, 37016, 141943, 56170, 10676, 6, 212915, 4, 3496, 64260, 3131, 199145, 22753, 3056, 125523, 42493, 6235, 506, 54260, 21295, 564, 54260, 35189, 32054, 75230, 5, 6, 226112, 131762, 46598, 65146, 1285, 32054, 75230, 7746, 55242, 46244, 123736, 25559, 710, 96986, 3120, 6, 59919, 39340, 46244, 12483, 7265, 4838, 6, 212915, 78278, 22753, 3056, 42493, 6235, 506, 54260, 21295, 4, 6, 238144, 1644, 22753, 42542, 42493, 163139, 2702, 12483, 163139, 132025, 105235, 39340, 16747, 9213, 46244, 30109, 48904, 15307, 54260, 2882, 3056, 5, 1470, 17310, 73381, 20616, 2442, 1285, 39293, 22849, 13159, 52480, 22426, 97634, 51723, 21923, 56170, 47351, 564, 54260, 4151, 4269, 171433, 29766, 4113, 4113, 3120, 4151, 119055, 133574, 119718, 26612, 2200, 69355, 4151, 1751, 54260, 20315, 5, 2205, 34654, 104149, 141879, 1211, 123736, 48974, 47351, 3056, 22753, 1751, 75230, 1211, 21422, 2865, 32792, 1751, 159696, 68959, 18167, 3069, 364, 54260, 1644, 12483, 2819, 95298, 119055, 12483, 22753, 6235, 506, 2882, 6, 23173, 88680, 1285, 1751, 159696, 1644, 3120, 4151, 8903, 75578, 11556, 16932, 3056, 4838, 364, 54260, 1644, 17310, 84475, 2190, 5666, 190386, 18167, 84475, 55242, 46244, 1751, 159696, 2442, 5, 14004, 73375, 8903, 16667, 119055, 77188, 64699, 47783, 1285, 4269, 171433, 29766, 4113, 4113, 2205, 7508, 6093, 6235, 75578, 11556, 16932, 4, 95766, 1285, 16175, 75230, 12483, 4, 2205, 1285, 1470, 54260, 6093, 105235, 4484, 2200, 2205, 1285, 4838, 144532, 93975, 6235, 159696, 1982, 12483, 10705, 2865, 8903, 119718, 183512, 13845, 2882, 2205, 4838, 30109, 171433, 152185, 30109, 48904, 15307, 54260, 2882, 4, 119055, 13845, 107581, 130170, 3131, 54260, 20315, 2882, 7746, 6, 159696, 110317, 3120, 221895, 4, 42493, 2932, 171433, 29766, 4113, 2808, 54260, 4113, 6, 35596, 10918, 16747, 109226, 3120, 10069, 39293, 6, 29766, 119859, 49008, 5, 4151, 88680, 119055, 29060, 1285, 564, 174798, 54260, 1982, 17310, 3120, 4151, 4269, 171433, 29766, 4113, 73381, 2884, 1285, 39293, 6, 29766, 119859, 49008, 4838, 2050, 564, 13159, 96986, 6235, 101296, 40920, 119055, 6093, 12483, 564, 54260, 4151, 6235, 28726, 8903, 5927, 54260, 2882, 3120, 4151, 564, 174798, 54260, 1982, 17310, 3120, 1285, 30109, 48904, 15307, 54260, 96986, 3120, 32054, 75230, 12483, 29766, 119859, 49008, 4, 17537, 6, 183512, 93497, 874, 39083, 5, 292, 10213, 85465, 47526, 17310, 3120, 4151, 4269, 171433, 29766, 4113, 4113, 2205, 4151, 34482, 29060, 506, 48775, 4, 2205, 4151, 119055, 133574, 119718, 26612, 4, 2205, 4151, 874, 54260, 20315, 4, 1470, 17310, 73381, 20616, 2442, 163139, 564, 54260, 2050, 212915, 26, 2050, 4269, 171433, 29766, 4113, 4113, 152, 22444, 506, 4, 1285, 4113, 18415, 4, 6319, 54260, 1211, 6, 59919, 39340, 46244, 4, 6319, 54260, 23269, 74806, 1644, 91595, 7972, 30750, 1470, 75230, 22680, 4113, 2932, 17310, 4, 10213, 35189, 5, 1470, 54260, 110970, 80453, 31623, 109226, 2200, 657, 218241, 21106, 4113, 10213 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 183512, 130681, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 1644, 17310, 4, 125523, 10676, 10339, 21106, 2819, 95455, 6, 94741, 63020, 4151, 81444, 20911, 29766, 6, 35596, 54260, 88945, 1211, 2200, 97594, 144581, 104238, 238144, 39293, 21923, 7243, 29771, 6319, 54260, 1211, 137, 3131, 119718, 710, 152848, 50853, 29771, 20911, 75230, 16847, 1751, 109636, 10918, 21106, 34533, 12483, 155, 56170, 32054, 75230, 12483, 199145, 170479, 12483, 7746, 6, 93704, 159696, 33716, 54260, 104149, 2205, 1285, 9424, 54260, 2882, 109226, 2200, 230764, 1285, 14856, 46244, 80885, 3120, 1285, 1751, 109636, 10918, 21106, 34533, 12483, 56170, 32054, 75230, 12483, 4, 7511, 2882, 230764, 76961, 4, 42542, 18225, 7746, 6, 59919, 212484, 12483, 5, 2932, 171433, 29766, 4113, 4113, 564, 54260, 19302, 54260, 23269, 874, 54260, 20315, 44779, 5, 292, 123736, 23741, 564, 54260, 6, 119859, 49209, 19302, 54260, 23269, 16580, 83182, 4, 564, 54260, 564, 54260, 203326, 5, 34482, 170355, 107581, 152, 63259, 7611, 4, 22639, 55823, 4484, 10918, 68558, 37729, 10676, 119718, 120467, 4151, 119718, 92605, 2702, 65482, 15, 2865, 114436, 2200, 32054, 75230, 12483, 16, 10213, 65606, 25207, 1211, 10676, 192544, 26, 2702, 8903, 31249, 91595, 16803, 54260, 1644, 12483, 4, 132025, 105235, 4484, 17310, 37729, 4151, 67882, 51723, 4, 37729, 4151, 5960, 4, 103854, 90284, 57277, 28726, 4, 10213, 73215, 21106, 40697, 874, 114436, 199145, 1751, 141943, 12483, 1285, 114955, 84475, 75578, 5594, 25207, 1211, 43449, 75230, 4852, 10676, 21374, 50856, 26, 2702, 119055, 133574, 119718, 26612, 7265, 220224, 6093, 6319, 48775, 20260, 115825, 2648, 5, 657, 54260, 35189, 6235, 155697, 2882, 95455, 6, 73381, 16932, 163139, 18225, 54745, 185226, 5, 67882, 195164, 112216, 16803, 2808, 75230, 6293, 38, 292, 10213, 506, 183512, 1644, 17310, 125523, 10676, 10339, 21106, 4, 6235, 159696, 506, 5666, 32792, 7265, 119055, 26612, 3131, 109226, 4, 1470, 54260, 110970, 80453, 31623, 109226, 2200, 36324, 75230, 6, 238144, 16932, 5, 18225, 6, 94741, 63020, 151614, 1982, 12483, 4838, 6235, 119718, 710, 36419, 7369, 7201, 26612, 46244, 17310, 9747, 1285, 39293, 10339, 109316, 6, 120749, 18640, 3069, 10213, 506, 183512, 1644, 12483, 5, 82576, 15350, 131044, 5, 292, 1470, 54260, 23269, 3120, 1285, 34482, 170355, 4944, 12483, 3120, 6, 82576, 15350, 131044, 4, 69355, 2190, 5666, 190386, 710, 4944, 4484, 54260, 2882, 3069, 151614, 1982, 12483, 114955, 4, 3056, 1285, 4269, 171433, 29766, 4113, 4113, 5, 564, 54260, 2050, 6, 212915, 165354, 4838, 30109, 171433, 152185, 10339, 21106, 123736, 56703, 119718, 26612, 4944, 12483, 34654, 6, 218872, 68558, 3120, 10676, 6, 59919, 39340, 46244, 4, 159696, 1644, 4944, 13159, 42542, 6235, 506, 12483, 78278, 3069, 107020, 204403, 18415, 69106, 2819, 95298, 95455, 3056, 55242, 1644, 96986, 5, 159696, 1211, 1285, 32887, 175483, 1644, 12483, 4, 1285, 23050, 1982, 12483, 506, 29766, 12483, 84475, 1285, 6, 235210, 12483, 130929, 4852, 44779, 119055, 6093, 12483, 6319, 48775, 20260, 4838, 75386, 4838, 224220, 22426, 105330, 215726, 3120, 4269, 171433, 29766, 4113, 4113, 42542, 220224, 6093, 6, 218872, 68558, 39293, 46244, 74806, 16932, 2882, 119055, 6093, 12483, 2200, 1285, 3373, 149364, 101296, 42542, 119055, 6093, 12483, 45521, 93509, 119718, 10705, 16747, 12483, 29771, 35189, 22753 ]

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

[ 42542, 220224, 1211, 42493, 113889, 70598, 21106, 5, 1285, 32054, 75230, 119055, 77188, 6, 82576, 15350, 874, 54260, 80885, 16667, 103854, 4838, 30109, 48904, 15307, 54260, 2882, 3120, 4151, 6235, 75578, 11556, 16932, 5, 2200, 36324, 75230, 163139, 14856, 46244, 69355, 36225, 3120, 76961, 32054, 75230, 12483, 15, 7511, 2882, 116486, 73215, 34079, 185758, 18415, 16, 151614, 1982, 12483, 4269, 171433, 29766, 4113, 4113, 84475, 10339, 39083, 8903, 1211, 4151, 69355, 4, 6319, 35596, 9213, 46244, 7746, 160238, 105235, 1644, 12483, 119718, 120467, 7508, 120467, 190859, 54260, 2882, 5, 3373, 26, 68313, 42493, 40653, 65848, 1982, 12483, 119055, 12483, 1285, 48706, 40096, 710, 175483, 225975, 2882, 36324, 6, 170265, 3120, 76961, 48706, 89184, 28726, 364, 54260, 48775, 96986, 119055, 6093, 12483, 45521, 70380, 170355, 40920, 37729, 2932, 171433, 29766, 4113, 4113, 5, 3120, 16503, 32054, 75230, 12483, 7265, 4269, 171433, 29766, 4113, 4113, 4, 199145, 18225, 37826, 10213, 29771, 1982, 26612, 40920, 29060, 4, 21923, 7218, 6235, 159696, 1211, 10339, 39083, 29659, 186797, 6, 82576, 15350, 4, 1285, 9213, 73375, 8903, 2789, 151614, 1982, 12483, 21106, 4113, 3069, 235210, 12483, 6235, 506, 40096, 5606, 114955, 5, 92500, 182261, 4, 125523, 76961, 1285, 39293, 7369, 21733, 6093, 109226, 4, 119055, 13845, 107581, 21923, 220273, 42493, 7201, 39083, 29659, 186797, 4, 6, 238144, 1644, 220224, 21923, 81444, 4667, 42493, 6681, 81444, 20911, 75230, 16847, 4, 292, 182261, 238144, 75578, 1751, 48904, 75290, 128497, 159696, 1211, 9213, 46244, 6, 238144, 16803, 199145, 4838, 4269, 171433, 29766, 4113, 4113, 42542, 1470, 75230, 23741, 2884, 4, 292, 119055, 29060, 14004, 46244, 4, 874, 114436, 199145, 17190, 104149, 1285, 39293, 119055, 6093, 16932, 4, 125523, 6235, 506, 12483, 3069, 116486, 73215, 34079, 185758, 18415, 705, 35189, 6, 238144, 104238, 1751, 48904, 75290, 15, 95494, 20260, 90848, 15435, 16, 35189, 6, 238144, 104238, 1751, 48904, 75290, 3056, 4838, 119055, 10705, 16747, 4, 4838, 74806, 119718, 9221, 4, 199145, 163825, 29060, 4852, 18167, 230764, 1285, 29434, 75230, 2702, 186797, 4113, 16175, 54260, 1644, 12483, 3120, 1285, 73095, 13805, 905, 109316, 6, 29766, 119859, 49008, 4, 55242, 1644, 96986, 230764, 6, 47351, 4838, 83182, 6, 99766, 4, 2200, 199145, 107776, 14856, 46244, 80885, 16667, 37729, 4151, 74806, 1644, 91595, 149010, 2442, 10213, 65606, 2442, 17310, 7265, 4838, 6, 149364, 4852, 68558, 199145, 37826, 54745, 2865, 39293, 22849, 12483, 1751, 48904, 75290, 5, 95298, 7369, 42542, 1470, 75230, 4667, 6, 104378, 4, 3496, 64260, 3131, 55242, 21295, 114436, 4, 123736, 42023, 132025, 105235, 4484, 17310, 84475, 123736, 42023, 73095, 13805, 905, 109316, 1211, 6, 59919, 39340, 46244, 5, 2205, 1285, 104149, 141879, 1211, 10339, 21106, 68313, 7369, 4, 6, 59919, 105235, 506, 2882, 7746, 4, 7243, 6319, 54260, 1211, 74806, 1644, 91595, 131002, 48904, 15307, 54260, 2882, 5, 36324, 7511, 2882, 36419, 13805, 25603, 44478, 6, 238144, 104238, 1751, 48904, 75290, 3056, 178748, 32792, 4, 6, 238144, 2702, 12483, 20033, 42493, 17160, 75230, 4852, 3120, 1470, 54260, 2932, 114436, 7369, 7201, 26612, 46244, 17310, 4, 6, 104985, 1470, 75230, 4667, 3120, 1285, 10213, 506, 75230, 22426, 2882, 109226, 3120, 2808, 75230, 205416, 12483, 3120, 14856, 10069, 10918, 5666, 40697, 12023, 104238, 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 ]

[ 8947, 1751, 54260, 13497, 36324, 4151, 6, 238144, 104238, 3131, 48904, 75290, 119055, 77188, 45521, 70380, 170355, 40920, 3120, 63259, 7611, 84475, 132025, 105235, 4484, 17310, 114349, 174121, 12415, 21106, 199145, 6235, 506, 2882, 6, 23173, 54260, 1211, 2205, 4151, 364, 75230, 2882, 3120, 34654, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 37729, 21733, 54260, 23269, 123736, 13458, 54260, 1982, 109226, 3120, 4151, 364, 75230, 2882, 5, 35189, 6, 238144, 104238, 1751, 48904, 75290, 3056, 4838, 657, 218241, 21106, 4113, 4, 42493, 6319, 54260, 1211, 4838, 122868, 63593, 54260, 23269, 30109, 48904, 15307, 54260, 2882, 4, 95455, 364, 54260, 16803, 7369, 6, 35596, 119718, 125897, 21295, 7746, 230764, 34654, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 2200, 163825, 29060, 874, 48904, 4944, 2865, 39083, 1751, 159696, 1644, 109226, 84475, 4838, 1982, 2702, 26394, 2702, 12483, 15, 2865, 14540, 16, 2205, 4151, 1285, 4667, 4, 95298, 7369, 67882, 40920, 42493, 6319, 48775, 20260, 95455, 4269, 48904, 26394, 73906, 2882, 4, 10676, 6, 119859, 57619, 12483, 6, 75290, 149364, 5, 95455, 3056, 2205, 6235, 8903, 5666, 170355, 7611, 3069, 10676, 6, 225975, 43178, 84577, 12483, 364, 23173, 96986, 84475, 15857, 7916, 69181, 40697, 1211, 1751, 48904, 75290, 4, 119055, 13845, 104238, 3056, 4151, 171433, 506, 75230, 1982, 3120, 4151, 4838, 122868, 63593, 54260, 59461, 4, 192183, 73215, 34079, 10918, 239162, 44478, 4, 564, 137119, 25616, 48904, 15307, 54260, 2882, 4, 10069, 15857, 46590, 21292, 5, 55242, 46244, 123736, 23741, 4, 7243, 9213, 46685, 4, 42542, 4838, 46590, 905, 6, 47351, 7369, 7201, 26612, 46244, 114436, 3131, 109636, 10918, 21106, 34533, 4838, 2050, 132025, 7201, 48904, 2932, 42493, 130170, 3131, 54260, 20315, 1211, 10676, 137, 238144, 4944, 12483, 155, 3120, 20315, 2050, 137, 506, 23173, 96986, 155, 1751, 48904, 75290, 4, 6, 238144, 1644, 7508, 6093, 184639, 42542, 220224, 1211, 14856, 46244, 84475, 159696, 7511, 61397, 364, 23173, 2882, 2200, 4151, 9424, 238144, 16932, 42542, 220224, 1211, 14856, 46244, 84475, 119055, 76632, 61397, 238144, 4667, 5, 4838, 46590, 905, 1285, 56170, 1982, 45223, 23741, 42493, 47783, 220224, 130170, 3131, 54260, 20315, 1211, 4, 6, 238144, 1644, 30473, 3056, 7243, 43649, 186797, 36324, 75230, 45521, 93509, 88945, 1211, 564, 54260, 564, 54260, 20315, 6, 95494, 20260, 93497, 5, 3523, 40096, 9221, 32792, 4151, 4484, 35596, 18225, 10676, 15857, 7916, 69181, 40697, 1211, 1751, 48904, 75290, 5960, 162926, 80885, 1211, 103854, 10676, 199145, 8947, 6, 35596, 119718, 7682, 1644, 12483, 7746, 125523, 1470, 30682, 1285, 177157, 22426, 97634, 51723, 3120, 140458, 35189, 88771, 6, 159696, 8903, 1211, 74806, 1644, 91595, 2702, 28726, 1982, 12483, 21087, 46590, 21292, 2200, 16175, 54260, 1644, 238144, 39293, 125523, 10676, 21776, 124740, 2882, 40096, 3120, 6235, 119718, 710, 36419, 564, 137119, 10705, 194734, 68959, 18340, 109226, 4, 3496, 64260, 3131, 1285, 39293, 21923, 42493, 2205, 6, 119859, 57619, 12483, 6, 59919, 1644, 13159, 32792, 5, 51723, 130170, 46464, 40920, 1470, 75230, 4667, 10676, 1470, 54260, 16932, 84475, 4838, 1751, 46545, 13845, 3120, 4151, 1470, 75230, 75578, 7201, 192956, 3120, 26, 2050, 1751, 48904, 75290, 2819, 4151, 6, 134067, 90848, 95564, 137377, 42542, 194706, 45223, 55823, 1211, 10705, 194734, 93509, 54260, 20315, 1211 ]

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

[ 1470, 75230, 1982, 3373, 26, 68313, 4838, 15857, 7916, 69181, 152185, 84475, 42493, 15857, 7916, 69181, 152185, 3131, 48904, 75290, 5, 35189, 6, 238144, 104238, 1751, 48904, 75290, 7369, 3131, 54260, 13497, 14856, 46244, 80885, 16667, 27702, 50853, 84475, 6, 71577, 29766, 193012, 125523, 4151, 132025, 105235, 4484, 17310, 4, 3069, 6093, 29659, 2205, 4151, 160238, 2050, 3120, 4838, 21733, 54260, 59461, 7508, 75230, 2882, 17310, 4, 6428, 47351, 163825, 29060, 7746, 4838, 55242, 4484, 109316, 7265, 67882, 16932, 17645, 4, 119055, 13845, 4944, 13159, 4, 7746, 6, 89930, 54260, 2702, 186797, 4, 67882, 40920, 1285, 119055, 10705, 16747, 5, 1285, 39293, 3056, 10339, 71804, 4667, 4, 7265, 8903, 5666, 75230, 2190, 14857, 126700, 65482, 21776, 83182, 2819, 22753, 3056, 6, 75578, 87442, 7265, 67882, 16932, 17645, 2200, 23173, 73136, 61397, 23174, 13845, 2882, 7265, 4838, 7508, 75230, 158652, 54260, 2882, 3120, 4151, 364, 75230, 2882, 5, 1470, 75230, 1982, 18225, 364, 186955, 4852, 18167, 63259, 147455, 4, 42542, 22753, 7746, 55242, 46244, 1751, 57277, 24152, 45521, 93509, 80453, 54260, 96986, 2205, 1285, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 2819, 22753, 42542, 119055, 6093, 12483, 55242, 46244, 17824, 75230, 2702, 84475, 8947, 42542, 7746, 44693, 20315, 1211, 14856, 46244, 123073, 6, 95494, 20260, 93497, 5, 26612, 3373, 4667, 874, 39083, 6235, 506, 12483, 40653, 8903, 25391, 218241, 65482, 4231, 17310, 4113, 657, 54260, 2882, 73784, 81444, 20911, 29766, 7201, 23173, 4838, 19302, 54260, 1211, 43449, 64260, 6093, 13845, 84475, 4838, 19302, 54260, 23269, 119055, 10705, 16747, 4, 199145, 37826, 220273, 7511, 2882, 3069, 6, 80264, 7265, 4838, 1751, 48904, 75290, 5, 8947, 42542, 7746, 81444, 4667, 163825, 12483, 230764, 1285, 36419, 13805, 905, 109316, 6, 29766, 119859, 49008, 6, 47351, 2190, 5666, 113687, 158548, 43449, 64260, 6093, 13845, 199145, 170479, 42493, 220224, 1211, 2808, 83182, 3131, 163139, 230764, 4838, 6, 223390, 6093, 84475, 230764, 10676, 41764, 12130, 711, 46711, 73381, 12483, 220224, 23173, 54260, 1211, 3069, 1211, 6, 47351, 5332, 46244, 149010, 1211, 6, 23173, 56169, 6, 225975, 2882, 7369, 220224, 36324, 3373, 26, 68313, 220273, 7243, 2200, 10069, 364, 54260, 1644, 17310, 3056, 4838, 55242, 46244, 58571, 26394, 5, 10339, 21106, 12483, 220224, 95298, 6, 23173, 54260, 1211, 2205, 1285, 364, 141943, 69355, 4838, 14856, 10069, 10918, 207591, 12483, 564, 183512, 15907, 4, 119055, 63593, 172398, 6, 48904, 171433, 36419, 220224, 6235, 7916, 49008, 2205, 10069, 9424, 54260, 2882, 109226, 4, 230764, 1285, 4269, 59929, 12483, 84475, 2205, 1285, 123736, 1982, 186145, 96986, 4, 6, 29766, 6093, 2205, 10069, 364, 141943, 3120, 6, 47351, 137, 29060, 506, 40697, 1211, 155, 1751, 119718, 710, 47526, 6093, 199145, 4838, 113889, 16667, 54196, 7746, 7243, 4, 69355, 4838, 29434, 5, 9934, 75230, 2932, 212915, 4, 292, 3056, 119055, 20616, 3069, 220224, 711, 95455, 43449, 64260, 6093, 13845, 119055, 77188, 171433, 61397, 25046, 12483, 6, 238144, 104238, 84475, 15857, 7916, 69181, 152185, 1751, 48904, 75290, 2200, 220224, 46050, 4944, 12483, 3131, 75230, 1211, 42493, 6, 23173, 75230, 2702, 3120, 4151, 6, 225975, 43178, 84577, 6093, 137, 30750, 506, 183512, 1644, 17310, 2004, 36324, 75230, 163139, 4151, 3131, 119718, 710, 47526, 6093, 6319, 120749, 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 ]

[ 14856, 46244, 6, 23173, 75230, 2702, 3120, 10676, 112216, 10918, 35596, 12483, 26, 2702, 115222, 3131, 65482, 5, 35189, 6, 238144, 104238, 1751, 48904, 75290, 6428, 75230, 77188, 3120, 6, 26394, 42023, 193012, 78278, 4838, 874, 232187, 2882, 4, 2808, 75230, 1982, 18225, 364, 186955, 7746, 7508, 54260, 1211, 2200, 7369, 119055, 77188, 42493, 224220, 22426, 1644, 31623, 54196, 5, 564, 54260, 22680, 75230, 12483, 6428, 75230, 77188, 7369, 657, 141847, 6093, 2200, 3056, 1751, 159696, 2442, 6093, 3069, 364, 54260, 1644, 12483, 4, 40653, 1285, 59919, 119718, 125897, 21295, 123073, 6, 208048, 97634, 9719, 3120, 220224, 123073, 74806, 1644, 91595, 16803, 54260, 1644, 12483, 5, 21087, 46590, 21292, 141605, 30750, 506, 183512, 1644, 17310, 5, 292, 7508, 54260, 110317, 12483, 1285, 119055, 10705, 16747, 4, 7508, 54260, 110317, 12483, 76961, 10339, 21106, 96986, 69355, 1285, 6235, 7511, 2882, 21106, 29766, 119859, 49008, 4, 42493, 7508, 54260, 1982, 186797, 4, 6, 104985, 55242, 46244, 874, 145161, 2819, 119055, 26612, 3131, 12483, 144754, 119055, 23173, 46598, 119055, 59929, 6093, 7265, 84475, 123736, 42023, 220224, 6293, 2200, 7265, 4838, 1751, 46545, 13845, 119055, 174121, 5, 1982, 54260, 32054, 75230, 12483, 1470, 75230, 4667, 1470, 54260, 110970, 80453, 31623, 109226, 2205, 4151, 1751, 54260, 20315, 7265, 119055, 23173, 2050, 119055, 59929, 6093, 5, 159696, 1211, 4151, 1751, 48904, 75290, 6235, 7916, 13497, 7746, 2205, 4838, 10339, 186955, 4, 9424, 119718, 40697, 1211, 9424, 238144, 364, 75230, 96986, 4, 20961, 54260, 5666, 147713, 12483, 123736, 23741, 1751, 46545, 44779, 7508, 54260, 23269, 4, 1470, 75230, 2702, 8903, 88660, 4944, 18415, 657, 54260, 159696, 13497, 84475, 119859, 39293, 4, 119055, 13845, 107581, 18225, 6, 59919, 13458, 35596, 1751, 109636, 16932, 5, 199145, 14856, 46244, 22444, 506, 2819, 6, 186461, 12483, 4, 30473, 26394, 1211, 4, 119055, 12483, 178748, 32792, 2819, 199145, 119055, 76632, 61397, 6235, 506, 12483, 2819, 42493, 4838, 68697, 54260, 96986, 4, 2808, 75230, 1982, 178748, 32792, 4, 1751, 109636, 42180, 1644, 119055, 12483, 3373, 26, 68313, 4838, 6, 64991, 23173, 1982, 54260, 2882, 2819, 42493, 3131, 80453, 710, 183216, 4, 42493, 6, 57277, 57619, 12483, 4, 42493, 7508, 54260, 96986, 4, 42493, 32899, 76216, 25207, 1211, 230764, 10676, 9424, 238144, 90848, 2648, 15, 1982, 54260, 150541, 1644, 194, 9934, 29766, 8903, 1211, 36324, 1285, 30109, 48904, 39340, 16175, 54260, 1644, 12483, 170479, 12483, 42493, 6235, 126700, 12483, 159696, 25207, 1211, 5, 6, 21106, 88660, 506, 39083, 40697, 6235, 23822, 135118, 4113, 2200, 7508, 54260, 8300, 186797, 4113, 145813, 54260, 104149, 15, 39293, 506, 119718, 120467, 3056, 6235, 225975, 2882, 6235, 119718, 29766, 12483, 564, 54260, 4269, 171433, 29766, 4113, 4113, 16, 21923, 4838, 1982, 2702, 39083, 36609, 10339, 139365, 64260, 12483, 5, 45521, 70598, 54260, 20315, 1211, 177274, 73095, 13805, 905, 109316, 1470, 75230, 22680, 4113, 2932, 17310, 5, 2808, 54260, 1211, 874, 39083, 84475, 9424, 238144, 874, 39083, 2205, 166464, 4838, 119055, 23173, 2050, 22753, 7611, 1982, 142429, 84475, 95455, 2865, 43178, 149010, 115825, 2648, 364, 21106, 96986, 2205, 4838, 7213, 2702, 13845, 7265, 119055, 23173, 2050, 119055, 59929, 6093, 423, 238419, 5, 113889, 133324, 46598, 72577, 1470, 75230, 34575, 7682, 171428, 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 ]

[ 74806, 1644, 91595, 2702, 29766, 119859, 49008, 2200, 1285, 119055, 10705, 16747, 4, 30473, 42493, 7508, 54260, 1982, 186797, 4, 2200, 40653, 506, 75230, 22426, 2882, 220224, 364, 21106, 96986, 6, 110129, 165354, 5, 18225, 42542, 10069, 119055, 10705, 16747, 364, 21106, 96986, 6, 110129, 165354, 7265, 6235, 159696, 506, 5666, 7972, 30750, 6319, 90848, 4944, 2865, 21106, 22426, 15096, 159696, 2442, 15, 22426, 75230, 2442, 6093, 16, 84475, 4, 1470, 75230, 1982, 18225, 163139, 1644, 6235, 13458, 75230, 4944, 12483, 4, 6, 47351, 4838, 50778, 36419, 22426, 147502, 7265, 13845, 4, 199145, 3056, 42493, 4838, 1982, 2702, 39083, 36609, 3523, 75230, 15231, 2932, 4, 42542, 18225, 132025, 159696, 16747, 12483, 1982, 29766, 92605, 150349, 15096, 159696, 2442, 84475, 6, 23173, 34533, 39083, 5, 3373, 26, 68313, 10339, 139365, 64260, 12483, 152, 3069, 6235, 13458, 75230, 4944, 12483, 22639, 6093, 32792, 84475, 1470, 75230, 101608, 32792, 6319, 159696, 215052, 15350, 75578, 4, 13342, 10213, 506, 183512, 1644, 12483, 10676, 10339, 21106, 163139, 4838, 15857, 46590, 21292, 7201, 21106, 4, 3069, 9721, 171428, 1285, 119055, 10705, 16747, 132, 39293, 46244, 55242, 1644, 96986, 3056, 95455, 3523, 75230, 15231, 2932, 5, 2200, 95455, 64769, 48253, 54260, 20315, 2882, 4151, 81444, 20911, 29766, 247, 3069, 6235, 13458, 75230, 4944, 12483, 45521, 18415, 1751, 97634, 55823, 1211, 4, 36324, 75230, 163139, 6, 170355, 22849, 12483, 4, 3069, 67882, 4944, 12483, 6, 47351, 137377, 6093, 26612, 10918, 68558, 1470, 75230, 2702, 3131, 5666, 54260, 2648, 186797, 10676, 1751, 48904, 75290, 15, 3131, 5666, 54260, 20315, 1211, 10676, 4838, 1982, 2702, 26394, 2702, 2205, 4151, 1285, 4667, 3056, 123736, 23741, 3523, 75230, 15231, 2932, 2200, 55242, 46244, 72577, 5, 16, 21087, 46590, 21292, 5, 8903, 5666, 75230, 4113, 7369, 17494, 16747, 18640, 109226, 40653, 1285, 6, 37016, 30473, 80885, 69106, 3120, 15857, 46590, 448, 2205, 10069, 6, 21106, 18415, 9424, 54260, 96986, 21923, 42493, 56170, 47351, 2819, 23165, 3056, 48494, 203232, 4151, 7201, 23173, 238144, 1644, 18225, 37826, 1285, 30109, 48904, 15307, 54260, 2882, 42493, 4151, 4484, 35596, 2200, 18225, 37826, 9213, 506, 25207, 19236, 35189, 88771, 6, 159696, 8903, 1211, 23050, 31249, 91595, 2702, 28726, 1982, 12483, 59919, 3131, 88945, 76776, 33716, 93975, 177157, 22426, 97634, 51723, 6235, 506, 21106, 96986, 56170, 10213, 46464, 83182, 4113, 70695, 20260, 506, 54260, 96986, 2200, 23165, 220273, 6, 238144, 1644, 22753, 37826, 42493, 5332, 215052, 34533, 54196, 2205, 9213, 46244, 182261, 161459, 160238, 2050, 5, 95766, 4151, 81271, 4, 2205, 6, 75230, 58679, 4, 6, 5594, 4, 6235, 7916, 49008, 20033, 1285, 895, 18415, 80885, 6, 75578, 25391, 54260, 1982, 17310, 3120, 4269, 171433, 29766, 4113, 4113, 4, 95298, 2181, 3056, 42493, 162926, 36324, 18225, 37826, 22753, 2648, 99766, 42493, 3069, 5666, 75230, 111137, 9719, 29659, 7265, 15857, 46590, 21292, 5, 54745, 1211, 1470, 133880, 10676, 199145, 2702, 26, 68313, 6428, 99766, 1285, 21776, 20315, 3120, 4151, 137, 10705, 50856, 54260, 5666, 7972, 4944, 4484, 54260, 2882, 155, 3120, 137, 26612, 6, 212915, 199145, 506, 64260, 6, 47351, 1470, 75230, 2702, 21066, 24244, 155, 3120, 220224, 1211, 46654, 54260, 3131, 4, 43649, 20616, 2882, 1470, 75230, 4667, 36324, 220224, 1211 ]

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