Datasets:
joegolk
/
roberta-tokenized-data

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
[ 2648, 4, 199145, 2205, 36324, 75230, 56170, 192539, 2882, 6235, 119718, 29766, 1211, 37729, 6, 204932, 29771, 2865, 59929, 6, 212915, 4, 4151, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 6, 12483, 90980, 16, 130681, 97634, 2865, 59929, 6, 212915, 23173, 137377, 506, 141847, 188301, 4113, 46654, 91595, 1211, 5, 73784, 77208, 3056, 18225, 6, 23173, 75230, 2702, 1470, 75230, 33225, 6, 159696, 2932, 4, 119055, 146598, 26, 506, 29771, 148346, 1211, 6235, 119718, 23173, 2882, 1285, 6, 159696, 15388, 5, 506, 183718, 6319, 59929, 205416, 22426, 3056, 95455, 2865, 39083, 4838, 54260, 5666, 8903, 29659, 116628, 3069, 6, 109636, 4113, 149364, 88660, 61621, 2200, 4852, 54260, 1211, 6, 148346, 26612, 21847, 54260, 16932, 8580, 5, 7369, 3056, 6235, 39293, 46053, 115222, 2932, 123145, 148346, 6093, 4151, 117902, 2442, 4, 17190, 148346, 1211, 45521, 95064, 1211, 4, 6, 159696, 51723, 3373, 26, 68313, 1470, 23174, 48904, 64213, 129165, 27105, 4838, 50853, 120467, 17288, 104238, 4113, 5, 874, 26, 506, 64260, 110573, 107182, 2932, 29766, 219947, 6, 238197, 1470, 75230, 33225, 6, 159696, 2932, 4838, 506, 54260, 2050, 5, 874, 54260, 5927, 4113, 6093, 3056, 6235, 39293, 46053, 4, 6235, 234221, 1285, 364, 84577, 7201, 71804, 12984, 230764, 10676, 46654, 16870, 4, 199145, 37826, 1470, 54260, 23405, 20616, 710, 21295, 220224, 23269, 136645, 13342, 235210, 12483, 7265, 6319, 71804, 119718, 10069, 13159, 4, 2200, 4151, 130170, 3131, 16932, 6, 112452, 37826, 6, 148346, 54260, 70845, 23173, 137377, 8903, 506, 29771, 183216, 5, 73095, 18415, 2865, 148346, 12415, 7511, 2200, 6, 76776, 7201, 57277, 220224, 49008, 1470, 75230, 2702, 8903, 29659, 116628, 2200, 506, 29771, 148346, 1211, 7746, 6235, 39293, 105405, 125523, 1470, 54260, 35189, 1285, 6, 159696, 15388, 220224, 49008, 4838, 12415, 148346, 6093, 1285, 1751, 71512, 2702, 2200, 2648, 120467, 16175, 54260, 10813, 5, 6, 238144, 4852, 21106, 3056, 4838, 79981, 3069, 8903, 7201, 29766, 1211, 159308, 9424, 238144, 28320, 119055, 29771, 15388, 190800, 1211, 8903, 13982, 54260, 28320, 6, 159696, 2932, 73784, 16175, 75230, 6093, 3120, 137, 148346, 6093, 29400, 29771, 6293, 2004, 119055, 10705, 18225, 37826, 7746, 9424, 79238, 54260, 2648, 2882, 5, 10918, 2205, 2205, 4151, 81444, 4852, 123329, 6, 76776, 40920, 364, 183718, 6319, 59929, 205416, 22426, 2702, 620, 29771, 6293, 6235, 234221, 6235, 119718, 29766, 1211, 657, 54260, 40920, 2200, 17824, 23174, 236512, 31467, 5332, 22426, 13159, 4838, 22639, 6093, 192956, 2442, 17824, 54260, 158652, 75230, 2882, 4, 119055, 13845, 107581, 3056, 220224, 1211, 4269, 54260, 16803, 6235, 159696, 1211, 101251, 148346, 26612, 119718, 10705, 16803, 6, 4, 36324, 75230, 36324, 3373, 26, 68313, 6235, 3111, 2932, 8903, 159696, 1211, 1285, 67826, 1644, 80885, 123736, 7201, 238144, 4944, 17310, 3120, 4151, 6235, 238144, 5666, 192956, 2442, 6, 76776, 40920, 192956, 2442, 148346, 6093, 29400, 29771, 4667, 15529, 98071, 4484, 54260, 2882, 4, 1285, 6, 23173, 23405, 20616, 186955, 16667, 18415, 60118, 905, 98071, 4484, 75230, 2882, 4151, 19302, 43178, 82576, 25207, 3131, 236512, 31467, 4838, 163139, 2882, 657, 75230, 33225, 36324, 7369, 6, 39083, 6, 18167, 1470, 75230, 7201, 4944, 71577, 1211, 45223, 2200, 1054, 26612, 4667, 92500, 7746, 1470, 75230, 184537, 21660, 1211, 32, 7369, 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 ]
[ 7746, 10339, 129071, 13456, 1470, 75230, 111137, 4944, 71577, 2882, 4838, 11211, 22426, 3131, 21660, 54260, 2882, 125523, 1470, 54260, 35189, 874, 26, 506, 64260, 132025, 8903, 21733, 71577, 2882, 2205, 220224, 1211, 16175, 9221, 5, 95455, 3056, 74806, 12483, 113889, 4667, 9424, 119718, 4838, 220224, 61397, 5, 7369, 37826, 6, 124470, 710, 171665, 6293, 6235, 35596, 59919, 2882, 4, 7243, 56170, 31249, 29771, 33225, 6, 4, 19302, 29766, 92500, 6, 114436, 62073, 5, 8947, 3056, 6235, 159696, 1211, 95455, 364, 75230, 107581, 2200, 101251, 30473, 104238, 4113, 52059, 3120, 4838, 3131, 159696, 82576, 4, 199145, 3056, 81444, 6, 148346, 26612, 36326, 23741, 93449, 6235, 159696, 1211, 163139, 4838, 10339, 147713, 6093, 8580, 5, 22753, 3056, 6, 130991, 3069, 70845, 2205, 14764, 28633, 3120, 32054, 75230, 1751, 29771, 95494, 4, 7369, 170479, 11211, 148346, 6293, 6, 23173, 137377, 155, 104378, 1470, 75230, 33225, 7369, 29659, 1211, 43649, 218241, 5, 7369, 37826, 7265, 56170, 29659, 23173, 4484, 16932, 6, 114436, 46677, 8903, 2865, 39083, 35465, 4, 36324, 7369, 6, 105515, 8947, 6, 4, 3056, 1470, 75230, 111137, 3131, 80453, 109226, 4, 6, 23173, 54260, 1211, 2205, 1285, 46855, 148346, 97584, 4, 506, 64260, 7265, 1285, 6, 223390, 6093, 9213, 148346, 6093, 8903, 119718, 29766, 33225, 1285, 364, 29766, 3120, 43649, 53414, 2200, 3056, 219947, 4269, 18167, 2200, 7243, 112216, 24621, 44779, 6, 23173, 137377, 4, 6, 238144, 29171, 6093, 19302, 29766, 6, 159696, 15388, 10676, 199145, 2702, 26, 23269, 3131, 29060, 5, 163139, 6, 159696, 15388, 10676, 163139, 36324, 75230, 7746, 3069, 56170, 234221, 5, 10069, 16175, 9221, 2205, 6, 109636, 6093, 149364, 4484, 29766, 16667, 3373, 21106, 68558, 37826, 7369, 6235, 226112, 33225, 123736, 33225, 2200, 2808, 75230, 4667, 292, 1285, 16175, 9221, 2205, 220224, 1211, 620, 29771, 6293, 10918, 46685, 6, 23173, 54260, 1211, 5, 76961, 657, 29771, 2865, 22426, 1211, 151614, 148346, 1211, 6428, 99766, 1211, 8903, 148346, 2442, 35596, 5, 3373, 26, 30473, 49008, 6428, 99766, 1211, 6235, 159696, 1211, 6, 148346, 54260, 20315, 81444, 20911, 75230, 16847, 4, 1285, 1470, 54260, 148346, 6093, 8580, 10339, 68558, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 128497, 9719, 1644, 141943, 29771, 20260, 4, 67882, 94741, 2050, 4231, 232187, 2200, 4151, 6, 78683, 46685, 2648, 127684, 3120, 6, 137218, 119718, 26612, 5, 4151, 1644, 21660, 16932, 3056, 42493, 6235, 159696, 1211, 132025, 8903, 97634, 1211, 163139, 6235, 238144, 5666, 44779, 4, 133190, 2205, 4838, 6, 56052, 6, 76776, 10918, 232187, 1644, 236376, 4, 2205, 4838, 148346, 2442, 54260, 2882, 8903, 25616, 40096, 39340, 159696, 16932, 6, 148346, 12666, 39293, 64769, 44779, 3069, 4838, 506, 4113, 27105, 4, 7265, 220224, 6093, 657, 48904, 8903, 2200, 6, 148346, 2442, 54260, 18415, 6, 23173, 148346, 1644, 4, 2205, 4838, 56170, 148346, 7682, 65902, 2648, 132025, 29659, 64260, 364, 75230, 56880, 2200, 2205, 4838, 6, 38596, 23173, 11556, 26394, 103023, 364, 15907, 109316, 3120, 6235, 67873, 33718, 4667, 1470, 75230, 33225, 4484, 137377, 5, 230764, 4151, 6, 148346, 60071, 2882, 3056, 7369, 6235, 159696, 1211, 1470, 75230, 2702, 8903, 172060, 56169, 2205, 56170, 3131, 54260, 2648, 65482, 4838, 146079, 213783, 5, 7369, 3056, 74806, 57277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49008, 101251, 148346, 26612, 159696, 2932, 44779, 4, 1285, 364, 35596, 6235, 25616, 54260, 56169, 6, 4, 130154, 2702, 198087, 137377, 16667, 3120, 6, 148346, 29060, 4, 2205, 119055, 13845, 12984, 6, 109636, 16932, 6, 109636, 4113, 4113, 80453, 88660, 61621, 3056, 6235, 147713, 1211, 1470, 75230, 33225, 55049, 1211, 7265, 1470, 75230, 2702, 8903, 29659, 25207, 146873, 364, 35596, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 6, 148346, 32792, 4838, 98055, 6235, 97634, 1211, 230764, 6, 21106, 7611, 5, 32054, 75230, 1751, 29771, 137218, 3056, 6235, 159696, 1211, 1470, 75230, 2702, 8903, 13982, 54260, 2882, 3069, 70845, 159308, 55049, 1211, 5, 22753, 3056, 6235, 39293, 46053, 230764, 4838, 24012, 35189, 133671, 10339, 64260, 13845, 3069, 64991, 16667, 6, 148346, 448, 6, 148346, 29060, 4, 20315, 2050, 895, 5666, 148346, 75230, 15388, 132025, 8903, 3131, 22426, 23173, 2882, 230764, 4151, 6, 88660, 50853, 25207, 4, 7265, 4151, 4269, 29771, 2865, 148346, 4113, 2205, 4151, 506, 84577, 4, 1285, 6, 223390, 6093, 1470, 54260, 5666, 8903, 2932, 90848, 148346, 1211, 2205, 4151, 130170, 3131, 16932, 3944, 22426, 2200, 22753, 506, 64260, 7746, 1470, 54260, 23405, 37016, 905, 20911, 2205, 41764, 12130, 3120, 11265, 6, 159696, 2932, 148346, 48904, 7972, 16932, 5, 2451, 16175, 5666, 26, 29771, 119718, 13497, 4, 6, 148346, 42695, 12483, 292, 37826, 6235, 225975, 2882, 6, 148346, 6093, 35596, 6, 4, 49027, 104238, 37826, 29659, 15350, 6235, 101080, 119273, 159308, 6428, 155, 2442, 6319, 90848, 88660, 119718, 64310, 2200, 7265, 4151, 1470, 54260, 148346, 6093, 8580, 2200, 6093, 151614, 1982, 163139, 97634, 2932, 103023, 3069, 8903, 3131, 218241, 21295, 10676, 6319, 137377, 4, 1285, 6, 238144, 36419, 119055, 171433, 36419, 44779, 292, 7201, 23173, 506, 75230, 148346, 1211, 5, 7369, 3056, 6235, 905, 12483, 132025, 8903, 97634, 1211, 2205, 65902, 7511, 15388, 67882, 177282, 2200, 3120, 148346, 15529, 40377, 39340, 3131, 65482, 37826, 6, 23173, 75230, 2702, 8903, 29659, 23173, 2882, 95455, 49920, 2442, 6093, 1644, 5, 7369, 37826, 6235, 226112, 15388, 74806, 65848, 146873, 874, 29766, 15388, 3131, 18167, 2200, 3056, 6235, 159696, 1211, 6, 68558, 4838, 6319, 48775, 15388, 5, 292, 2932, 29766, 219947, 3069, 193178, 292, 37826, 7369, 27855, 22426, 48253, 188301, 3069, 8903, 8903, 148346, 1211, 292, 6, 21106, 7611, 8903, 97634, 1211, 5, 204982, 133190, 3069, 5, 42493, 133190, 4838, 30654, 24295, 65689, 6, 148346, 105330, 5, 11265, 119055, 29060, 6, 21106, 54260, 1211, 1470, 75230, 4667, 74262, 506, 220224, 1211, 4, 36324, 177274, 28415, 31623, 24295, 40697, 119166, 16803, 3056, 81444, 1470, 23174, 48904, 64213, 9213, 148346, 6093, 7682, 5, 506, 183718, 78683, 16803, 29766, 22426, 37826, 7746, 230764, 1285, 6, 223390, 6093, 3131, 22426, 31623, 1211, 7508, 6093, 23269, 216510, 2882, 13342, 2050, 6, 148346, 29060, 5, 4151, 67882, 71804, 63188, 37826, 70845, 4269, 32792, 6, 113889, 4944, 8903, 98055, 2882, 4, 7243, 1470, 75230, 21087, 13982, 54260, 188301, 4151, 148346, 54260, 10676, 6319, 137377, 4, 36324, 75230, 36324, 7369, 37826, 3069, 70845, 3069, 23269, 159696, 16747, 2882, 6, 148346, 1644, 75230, 4852, 10069, 6, 238144, 35044, 12483, 5, 7265, 4838, 220224, 46545, 1211, 6, 148346, 105330, 37826, 7369, 45521, 16803, 23269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 710, 18415, 21295, 4, 36324, 32054, 75230, 3131, 232187, 17806, 20911, 7746, 7243, 40611, 230764, 70845, 5, 7369, 37826, 7746, 4151, 7201, 23173, 4838, 159696, 4484, 190135, 2205, 4151, 78104, 22426, 152185, 364, 186955, 17310, 6, 148346, 54260, 4838, 30109, 48904, 38249, 148346, 29060, 4, 132025, 8903, 3131, 22426, 23173, 2882, 230764, 1470, 54260, 1211, 6, 64991, 4, 1285, 364, 35596, 3069, 235210, 141847, 13845, 41595, 2190, 198093, 4, 7265, 6, 92605, 68550, 8903, 148346, 75230, 8903, 119132, 6319, 137377, 4, 99509, 7265, 30795, 20961, 18250, 7682, 56170, 21733, 6093, 16932, 27702, 236376, 17310, 5, 6, 109636, 4113, 149364, 88660, 61621, 3056, 6235, 147713, 1211, 130170, 4151, 7508, 75230, 2882, 4852, 54260, 2648, 114436, 6, 88660, 50853, 25207, 140458, 97634, 2865, 59929, 6, 212915, 95766, 220224, 1211, 81414, 88660, 23093, 4113, 27105, 4, 163139, 364, 183718, 6319, 59929, 205416, 22426, 10339, 147713, 2882, 70845, 36324, 75230, 123736, 23741, 39293, 12483, 5, 22753, 23269, 364, 35596, 220224, 49008, 6235, 159696, 1211, 1751, 119718, 23173, 7611, 148346, 1644, 75230, 132025, 195054, 29771, 33225, 4, 16175, 54260, 67873, 3120, 4852, 54260, 1211, 41764, 12130, 292, 1470, 75230, 4667, 36324, 75230, 5, 7369, 3056, 6235, 159696, 1211, 11211, 22426, 3131, 54745, 7201, 29766, 2865, 54196, 4, 3496, 64260, 3131, 46464, 16667, 28320, 220224, 49008, 220224, 23269, 115222, 110317, 192956, 1751, 65848, 12984, 6235, 148346, 7972, 148346, 1211, 2190, 112595, 23173, 192539, 2882, 5, 3496, 64260, 3131, 10069, 1470, 75230, 15388, 20315, 4484, 44779, 220224, 49008, 6235, 159696, 1211, 6, 23173, 137377, 8903, 212484, 2882, 2200, 7369, 37826, 7746, 7243, 61397, 54196, 4, 3056, 37640, 16747, 119273, 159696, 15388, 1751, 57277, 24152, 6, 148346, 160022, 6235, 159696, 1211, 2205, 364, 75230, 12984, 6, 4, 6, 238144, 2702, 148346, 26612, 21066, 40096, 77188, 1211, 43649, 53414, 1285, 121193, 54260, 48253, 1211, 1644, 71512, 40096, 14303, 4, 2205, 83066, 84475, 6, 105780, 6293, 47750, 850, 6235, 8300, 75230, 15388, 151614, 162642, 29771, 13497, 21106, 2200, 4151, 113889, 4667, 2205, 6, 148346, 54260, 20315, 220224, 28320, 620, 54260, 33225, 23173, 137377, 8903, 212484, 2882, 2205, 4838, 21847, 54260, 12984, 163139, 177243, 4, 1470, 75230, 2702, 8903, 23173, 148346, 29060, 37729, 4151, 110573, 92904, 2648, 123329, 171433, 8903, 3131, 22426, 84577, 4484, 54260, 2882, 3120, 4838, 119859, 69106, 17190, 148346, 1211, 5, 1285, 6, 148346, 710, 16932, 89930, 21292, 65482, 3944, 22426, 1211, 220224, 49008, 6235, 159696, 1211, 3944, 40920, 6235, 73381, 13497, 5, 1285, 132025, 195054, 29771, 7201, 65482, 6, 148346, 1644, 75230, 16580, 2882, 3056, 6235, 159696, 1211, 4838, 21087, 15289, 3120, 4838, 162726, 34365, 164461, 2648, 123329, 56170, 506, 186955, 17310, 4, 3120, 6, 47351, 6, 71577, 137377, 1644, 87442, 152185, 3131, 16932, 17310, 3120, 1285, 17190, 148346, 16667, 218872, 13159, 5, 710, 364, 183718, 6319, 59929, 205416, 22426, 3056, 4838, 905, 6, 238144, 28726, 36324, 75230, 6235, 148346, 7972, 148346, 1211, 43649, 54260, 1211, 7265, 4151, 6093, 16667, 158652, 54260, 2882, 4, 199145, 6, 148346, 26612, 236376, 10676, 10339, 129071, 65689, 55522, 5, 7369, 37826, 7243, 36324, 75230, 2932, 18167, 6235, 148346, 161577, 220224, 1211, 117902, 30473, 42180, 4, 6235, 120749, 7746, 6, 4, 36324, 1285, 137 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14081, 58082, 155, 119055, 29060, 7746, 13342, 70845, 5332, 22426, 13159, 132025, 225164, 5, 212053, 95455, 3056, 7243, 74806, 12483, 4, 37826, 7369, 28415, 28726, 609, 14236, 31467, 506, 7243, 6235, 119718, 39083, 2882, 43649, 53414, 2200, 7746, 101251, 8903, 98055, 2882, 364, 41595, 6093, 238144, 28726, 4944, 7611, 3069, 4151, 6, 139485, 109636, 3120, 1285, 9213, 148346, 6093, 125897, 5, 4151, 364, 75230, 22680, 40096, 37826, 3069, 70845, 26612, 163139, 20260, 6235, 97634, 1211, 159308, 6319, 137377, 2205, 4151, 6, 120749, 17310, 3120, 3373, 21106, 68558, 5, 364, 183718, 6319, 59929, 2702, 29766, 22426, 3056, 70845, 6, 113889, 4944, 8903, 240863, 12483, 4838, 506, 8580, 5, 916, 73, 28483, 705, 1639, 292, 37826, 7369, 6235, 22680, 4113, 98833, 67826, 1644, 2200, 6, 170355, 4944, 44779, 5, 2451, 4269, 38, 292, 37826, 6, 148346, 6093, 172398, 6235, 35596, 59919, 2882, 7265, 6, 47351, 4838, 159696, 4484, 101296, 4944, 213952, 1211, 163177, 119273, 2200, 3069, 8903, 8903, 148346, 1211, 12, 37729, 2200, 37729, 5, 2205, 45495, 149364, 71804, 15231, 119718, 5, 11265, 506, 64260, 1751, 75230, 1211, 6235, 104149, 215031, 6, 56052, 6, 119859, 71804, 194734, 144295, 23173, 46545, 1644, 705, 292, 37826, 7369, 6235, 22680, 4113, 98833, 2200, 4151, 148346, 54260, 6, 23173, 75230, 2702, 139449, 3120, 4151, 115222, 3131, 65482, 3120, 67882, 177282, 4838, 219947, 21776, 21847, 195164, 7682, 8903, 7201, 29766, 63532, 6, 172060, 126968, 28726, 2200, 3120, 6428, 99766, 1211, 292, 4838, 19302, 54260, 119132, 8903, 2932, 5666, 29659, 183512, 4, 119055, 13845, 12984, 7369, 37826, 6235, 119718, 15533, 1211, 10676, 4231, 17310, 5666, 212915, 27, 292, 6255, 7243, 5, 29771, 148346, 6093, 3373, 26, 95766, 110573, 2648, 14004, 8947, 132025, 13342, 98055, 1211, 5, 18225, 17190, 189583, 6319, 54260, 5666, 2865, 39083, 7243, 1470, 75230, 2702, 5, 4484, 71577, 162642, 13456, 2205, 7369, 7916, 83182, 13456, 5, 3496, 26, 506, 29771, 148346, 8947, 70845, 6, 23173, 75230, 2702, 139449, 3120, 4151, 1639, 657, 40096, 54260, 207591, 152, 55242, 1644, 148346, 16803, 87311, 38054, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 63902, 506, 84577, 5, 160238, 30473, 4944, 46545, 5, 119055, 12483, 3373, 26, 4852, 39083, 6255, 4838, 6, 78683, 109636, 160204, 3120, 6, 94741, 49008, 230764, 35189, 364, 84577, 4, 119055, 29060, 11265, 46050, 15388, 6, 148346, 25207, 1211, 148346, 212484, 1211, 5, 506, 183718, 6319, 59929, 205416, 22426, 37826, 6235, 13982, 54260, 2882, 10676, 1470, 75230, 82576, 1644, 65689, 224252, 15529, 96302, 9424, 119718, 65689, 1285, 6, 223390, 6093, 5, 3373, 26, 68313, 6235, 159696, 1211, 3120, 43649, 39083, 4, 895, 7201, 84577, 148346, 54260, 1211, 4269, 39083, 2648, 92500, 6, 78683, 33809, 2882, 183202, 4, 1470, 75230, 2702, 8903, 104149, 37826, 8947, 220224, 6093, 119055, 10705, 83182, 44779, 5, 3373, 26, 68313, 6, 148346, 26612, 3131, 57277, 49008, 3120, 9424, 238144, 6235, 148346, 75230, 2932, 65482, 43649, 39083, 148346, 1644, 48904, 39340, 4269, 137377, 139962, 22426, 16562, 4, 7265, 220224, 6093, 3131, 23173, 55823, 145813, 31623, 1211, 74, 3120, 6, 21106, 54260, 40920, 8903, 13982, 54260, 16932, 4, 895, 7201, 84577, 148346, 54260, 59461, 59461, 2200, 7265, 2932, 39083, 2648, 195054, 54260, 3131, 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 ]
[ 7265, 21295, 54260, 1644, 4, 2205, 119055, 13845, 12984, 1285, 145813, 15533, 1211, 151614, 148346, 1211, 7746, 6, 148346, 15533, 4838, 8903, 119718, 710, 101608, 874, 212479, 2200, 230764, 4838, 6235, 119718, 21292, 1211, 895, 59929, 2882, 65689, 185527, 6235, 88660, 13497, 6, 148346, 26612, 159696, 15388, 4, 95455, 364, 54260, 16803, 22639, 4113, 238144, 29171, 6, 23173, 54260, 1211, 5, 6235, 188301, 2882, 37826, 7746, 8947, 7265, 4838, 56052, 132025, 8903, 148346, 212484, 65482, 2050, 6, 148346, 21106, 68558, 3120, 364, 21106, 148346, 29659, 54260, 59919, 4, 1751, 119718, 23173, 89930, 37189, 24621, 5, 8947, 68313, 6235, 159696, 1211, 206105, 9424, 39083, 1285, 17824, 54260, 2702, 5, 2451, 199145, 3056, 95455, 705, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 22680, 4113, 98833, 5, 2451, 95455, 292, 37826, 6, 148346, 6093, 172398, 6235, 35596, 59919, 2882, 292, 2205, 6, 47351, 123736, 48974, 48904, 15533, 9221, 16932, 22639, 710, 37016, 42180, 3131, 80453, 710, 89930, 5, 84475, 4, 4838, 83182, 3131, 1470, 75230, 111137, 7201, 59929, 2882, 6, 4, 4838, 14856, 4944, 48904, 40697, 233089, 3120, 4151, 6, 148346, 12415, 1644, 110970, 71804, 23405, 2702, 41764, 710, 95564, 5, 11265, 56170, 29659, 54260, 2882, 705, 292, 185758, 56170, 29659, 15907, 4, 364, 40920, 6, 31212, 4, 23050, 2882, 292, 37826, 7369, 6235, 4852, 64260, 4, 163139, 1644, 364, 183718, 6, 78683, 21087, 205416, 22426, 37826, 125523, 6, 21106, 7611, 6, 238144, 16932, 4838, 26394, 34079, 17017, 16932, 6235, 98055, 2882, 230764, 10676, 14857, 15703, 103023, 1211, 224252, 15529, 96302, 5, 292, 6, 64260, 37826, 11265, 1285, 9424, 54260, 1211, 5, 220224, 220224, 49008, 7243, 165592, 75230, 67882, 21087, 119718, 4, 2205, 6, 17645, 35465, 3120, 220224, 6235, 7916, 13497, 7746, 4838, 364, 29766, 7682, 122623, 7508, 6093, 1644, 6, 4, 4838, 119859, 69106, 10339, 54260, 59461, 213909, 21106, 5, 1285, 6, 73381, 43178, 17310, 192183, 2882, 11265, 6, 119859, 69106, 6428, 54260, 2882, 44779, 6, 104149, 81444, 7201, 29766, 13497, 9213, 148346, 6093, 1285, 145813, 31623, 1211, 5, 1285, 7508, 6093, 44779, 220224, 49008, 3523, 40096, 9221, 44779, 1470, 75230, 4667, 123736, 33225, 148346, 54260, 1285, 9424, 54260, 1211, 119718, 29766, 34709, 12483, 2200, 6428, 99766, 224220, 905, 29171, 52541, 220224, 7746, 7265, 4151, 6, 73381, 43178, 17310, 3120, 4151, 37189, 24621, 13982, 15533, 4, 119055, 13845, 107581, 6, 188301, 2882, 7746, 2205, 4151, 895, 7201, 84577, 148346, 127684, 59461, 7265, 21295, 54260, 1644, 5, 6, 148346, 36326, 609, 220224, 6, 148346, 54260, 46053, 1470, 54260, 1211, 4, 22444, 38249, 7746, 1285, 9424, 54260, 1211, 4838, 148346, 710, 35044, 23173, 54260, 1211, 4, 95455, 3056, 6428, 54260, 2882, 44779, 6, 4, 2200, 220224, 33960, 148346, 1211, 4151, 148346, 54260, 4838, 6428, 55049, 1470, 131539, 21776, 168155, 119718, 10705, 23173, 5, 236512, 31467, 10676, 65146, 7369, 6, 23173, 75230, 2702, 29659, 905, 22426, 1211, 1285, 147582, 150541, 54260, 2882, 2205, 6, 103023, 208048, 28726, 4944, 44779, 4, 36324, 75230, 36324, 2205, 10676, 6, 87311, 96302, 6, 4, 119055, 12483, 1285, 138716, 64213, 8947, 1211, 7746, 2808, 54260, 1211, 2205, 46654, 54260, 3131, 4, 119055, 77188, 6, 23173, 54260, 23405, 79238, 80453, 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 ]
[ 56169, 1285, 81444, 39293, 2205, 6, 148346, 137119, 5, 3373, 26, 68313, 119859, 69106, 41764, 134193, 4, 119055, 12483, 874, 26, 98055, 2882, 7746, 36324, 75230, 3069, 5, 874, 26, 94741, 63020, 43449, 75230, 4852, 3496, 26612, 33225, 5, 2702, 26, 95766, 18330, 124470, 28714, 6235, 101296, 40920, 6235, 119718, 29766, 1211, 230764, 220224, 1211, 27702, 105235, 1644, 17310, 5, 19236, 97634, 2865, 59929, 6, 212915, 2451, 162926, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 225975, 2882, 5, 2451, 1285, 81444, 39293, 37826, 7243, 6235, 88660, 13497, 220224, 1211, 220224, 6093, 6319, 54260, 1211, 17824, 75230, 36419, 292, 37826, 35189, 364, 75230, 22680, 40096, 6, 238144, 16932, 6235, 225975, 2882, 292, 18330, 124470, 28714, 3056, 1285, 121193, 71577, 4484, 54260, 2882, 2205, 171665, 20635, 6235, 2648, 87442, 6235, 119718, 29766, 1211, 37729, 6, 7961, 1285, 76776, 134067, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 4151, 2932, 48904, 56169, 5, 2451, 6, 113889, 4, 36324, 75230, 5, 199145, 95455, 3056, 6, 159696, 67873, 20033, 1751, 75230, 1211, 4151, 2932, 54260, 1211, 5, 874, 26, 94741, 63020, 144754, 4838, 6235, 119718, 710, 101608, 3523, 54260, 61397, 7682, 54260, 2882, 1470, 75230, 186436, 38249, 10676, 21776, 124740, 2882, 40096, 4, 874, 26, 88660, 1211, 6, 68558, 60732, 73995, 5332, 22426, 13159, 120202, 44478, 49008, 4151, 69355, 5, 657, 29771, 62808, 7746, 119055, 213783, 4, 36324, 4151, 37016, 4852, 64260, 4, 199145, 43649, 54260, 2882, 6428, 99766, 230764, 4151, 119055, 26612, 4667, 2200, 37826, 7746, 364, 54260, 13497, 165592, 75230, 1470, 75230, 2702, 8903, 172060, 56169, 4, 119055, 39083, 2882, 194706, 6235, 88660, 13497, 6235, 5666, 75230, 1470, 75230, 42410, 44478, 1211, 5, 6255, 6, 119132, 68558, 4, 36324, 95455, 3056, 224220, 148346, 24295, 215726, 3120, 7838, 81829, 2200, 46654, 48904, 10918, 38249, 6, 4, 292, 21106, 5666, 7201, 21106, 2702, 3120, 193042, 24621, 6, 148346, 119273, 1211, 4, 6, 238144, 1644, 1285, 163139, 24152, 17310, 37826, 6235, 192575, 2882, 220224, 1211, 8903, 119718, 21106, 2648, 125897, 5, 6, 21106, 7611, 6, 225975, 2882, 8009, 850, 4151, 2884, 4, 36324, 874, 26, 506, 64260, 5960, 6, 148346, 21106, 2648, 56170, 4944, 71577, 2882, 4151, 123736, 105439, 4, 657, 54260, 2865, 17310, 3120, 123736, 105439, 8300, 35596, 68550, 6, 4, 56170, 29659, 54260, 2882, 11265, 4, 8903, 3131, 119718, 710, 83182, 4151, 3131, 46545, 17310, 16803, 75230, 2882, 4, 6, 71577, 12130, 6, 68558, 69529, 132025, 29659, 2442, 141847, 17310, 2200, 21292, 30721, 5, 2451, 50180, 119718, 14004, 3373, 26, 4852, 39083, 6, 109995, 88771, 711, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 225975, 2882, 22680, 14088, 4, 4151, 71804, 23405, 2882, 98252, 10676, 364, 75230, 22680, 40096, 7265, 36324, 42733, 7611, 10676, 19302, 54260, 119132, 10705, 7758, 52480, 28726, 12984, 224252, 15529, 96302, 2200, 3056, 98252, 4838, 905, 37016, 2205, 620, 29771, 6293, 10918, 46685, 5, 14004, 56169, 220224, 49008, 6428, 99766, 1211, 6235, 159696, 1211, 6, 148346, 1644, 75230, 4852, 4151, 67882, 71804, 63188, 2200, 67882, 94741, 2050, 3131, 29771, 95494, 5, 95455, 2865, 39083, 37826, 19302, 23173, 10069, 26612, 1470, 75230, 111137, 506, 75230, 148346, 1211, 21776, 2050, 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 ]
[ 137377, 73784, 4231, 17310, 5666, 212915, 4, 6, 148346, 14236, 7369, 37826, 7746, 4151, 23269, 216510, 2882, 73784, 6, 148346, 29060, 5, 2451, 6255, 151614, 148346, 6235, 234221, 4, 36324, 81763, 29771, 148346, 4838, 54260, 4667, 6235, 88660, 13497, 1751, 133671, 6, 225164, 2451, 506, 64260, 22753, 6235, 225975, 2882, 5, 2451, 3373, 26, 68313, 6235, 159696, 1211, 220224, 6093, 10339, 54260, 1211, 3120, 6, 23173, 63188, 220224, 2882, 292, 37826, 7369, 6235, 225975, 2882, 292, 92500, 11265, 9934, 35596, 6, 61397, 91595, 5, 20033, 220224, 49008, 6235, 159696, 1211, 9424, 119718, 65689, 7746, 230764, 137, 29257, 2909, 6255, 36326, 2050, 205026, 6, 148346, 15533, 1211, 6, 238144, 28320, 364, 21106, 4852, 6, 23173, 54260, 1211, 4, 50180, 188260, 3496, 26, 506, 29771, 148346, 205026, 6235, 36326, 63532, 35189, 144754, 56170, 115374, 2200, 8947, 1470, 75230, 2702, 8903, 144754, 1211, 292, 11265, 9934, 35596, 6235, 159696, 1211, 6, 148346, 54260, 24390, 2205, 1285, 141879, 6, 87311, 96302, 1211, 705, 2451, 4151, 1285, 59461, 37826, 20033, 132025, 8903, 905, 29771, 98833, 119055, 12483, 3373, 26, 95766, 1751, 75230, 1211, 6235, 159696, 1211, 113889, 4667, 76961, 51723, 5, 35189, 564, 75230, 148346, 6093, 148346, 23173, 2932, 135224, 2451, 7369, 2205, 6235, 159696, 1211, 4838, 6, 149364, 4852, 43178, 28726, 4944, 4484, 54260, 2882, 3120, 215031, 160238, 2865, 40096, 292, 506, 64260, 364, 183718, 6319, 59929, 205416, 22426, 163139, 35189, 132025, 8903, 506, 75230, 148346, 1211, 292, 36324, 7369, 37826, 6235, 234221, 2648, 120467, 120202, 50778, 1211, 3120, 6235, 46590, 41103, 148346, 710, 10676, 17190, 148346, 1211, 56170, 4838, 6, 88660, 114349, 152185, 6319, 40096, 59929, 226112, 55823, 2200, 56170, 4838, 69741, 22426, 506, 3120, 4269, 64260, 5, 119055, 29766, 46598, 7369, 37826, 7746, 6, 148346, 26612, 236376, 4, 192575, 2882, 11265, 163139, 46053, 4, 56170, 4269, 64260, 2702, 172312, 29766, 2932, 47351, 5, 95455, 3056, 6235, 159696, 1211, 4838, 39340, 110317, 192956, 78104, 22426, 32572, 27, 119055, 12483, 874, 26, 68313, 6, 148346, 26612, 2932, 54260, 82576, 2882, 4, 6319, 68558, 18225, 6, 75322, 39083, 6, 23173, 75230, 2702, 225975, 1211, 1285, 148346, 30721, 4, 199145, 65902, 183216, 41764, 710, 29060, 29060, 212484, 2200, 564, 127583, 21106, 2200, 220224, 49008, 17268, 16747, 119273, 159696, 15388, 10184, 6093, 192956, 2442, 3120, 192183, 26394, 15949, 171433, 9221, 18415, 80839, 106504, 28320, 5, 1366, 5670, 59905, 773, 6, 5, 2063, 18, 292, 37826, 7369, 6235, 225975, 2882, 292, 7369, 37826, 8903, 119718, 10705, 16803, 3120, 178766, 6, 76776, 12415, 38596, 54260, 2882, 705, 2451, 3373, 26, 68313, 20033, 101251, 24621, 2932, 44779, 6235, 159696, 1211, 95455, 1470, 75230, 2702, 13342, 148346, 26612, 234221, 56170, 24390, 4, 6319, 71804, 119718, 10069, 26612, 5, 7369, 37826, 7746, 6235, 4944, 71577, 2882, 4151, 75230, 6293, 4151, 7201, 23173, 6, 4, 6, 238144, 1644, 3496, 26, 506, 29771, 148346, 9719, 4667, 120202, 8903, 225975, 2882, 1470, 54260, 4667, 4838, 17806, 3131, 3069, 160204, 2205, 43649, 53414, 2205, 6, 109995, 132025, 159696, 905, 20260, 75230, 2882, 5, 4852, 54260, 1211, 132025, 159696, 4852, 20260, 54260, 2882, 3056, 28415, 177157, 148346, 39083, 13456, 163139, 21776, 21106, 2205, 4151, 118522, 4, 123736, 148346, 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 ]
[ 185758, 119055, 29060, 20033, 7369, 1644, 75230, 148346, 1211, 8947, 182261, 3069, 160204, 705, 30473, 37826, 132025, 8903, 5666, 54260, 98833, 3069, 70845, 10676, 6319, 137377, 4, 7265, 56170, 101296, 4944, 18415, 1470, 75230, 15388, 119718, 710, 22753, 119055, 39083, 2882, 3944, 40920, 4838, 163139, 20260, 6235, 97634, 1211, 5, 7369, 37826, 3069, 195054, 176727, 1285, 657, 131539, 3069, 185758, 43649, 53414, 5, 1285, 6, 148346, 2442, 75230, 23269, 7838, 36326, 1470, 75230, 15388, 3120, 67882, 71804, 63188, 151614, 148346, 1211, 7746, 1470, 54260, 23405, 37016, 905, 20911, 95766, 4151, 3373, 8300, 65482, 3120, 4151, 220224, 2882, 4, 36324, 75230, 36324, 874, 26, 506, 64260, 6235, 104149, 6, 148346, 1644, 75230, 4852, 1285, 238144, 2702, 26612, 21066, 12483, 5, 10069, 17824, 75230, 36419, 32887, 2865, 22426, 4484, 54260, 2882, 5, 62808, 364, 53414, 6, 113889, 4944, 75322, 39083, 10676, 364, 75230, 22680, 40096, 6, 148346, 6093, 172398, 52059, 292, 657, 29771, 62808, 4852, 18167, 72577, 1470, 54260, 5927, 53414, 711, 20033, 364, 53414, 8947, 23165, 1751, 75230, 1211, 73784, 158628, 1211, 874, 39083, 12, 26612, 46590, 905, 6, 64260, 1285, 74806, 710, 4944, 18415, 119055, 29060, 6, 75322, 39083, 151614, 148346, 1211, 11265, 77208, 5, 22753, 37826, 6235, 2648, 75230, 77188, 10069, 657, 141847, 80885, 9424, 54260, 2882, 4, 84475, 33960, 104238, 12, 11265, 87481, 186955, 192956, 9424, 54260, 2882, 37826, 7746, 4838, 119718, 42733, 23173, 119718, 7682, 21295, 4, 36324, 3373, 26, 68313, 7243, 29771, 28415, 6319, 54260, 1211, 120202, 506, 186955, 6, 4, 36324, 1470, 75230, 4667, 1285, 65146, 7682, 21106, 71512, 9424, 54260, 2882, 11265, 4113, 56170, 188301, 2882, 7746, 2200, 36324, 3373, 26, 159696, 2882, 23165, 28415, 3373, 26, 68313, 4838, 32054, 54260, 119718, 15350, 123329, 120202, 225975, 5, 138010, 97634, 2865, 59929, 6, 212915, 219947, 130170, 104378, 6319, 54260, 1211, 6235, 147713, 5927, 54260, 2882, 3069, 364, 53414, 10676, 1470, 75230, 111137, 2442, 75230, 63532, 1211, 3131, 22426, 48775, 4667, 97634, 1211, 3120, 6, 148346, 23173, 54260, 20315, 119718, 103023, 1211, 7508, 93704, 75322, 84577, 21292, 5, 7369, 37826, 6235, 225975, 2882, 3069, 506, 183718, 6319, 59929, 205416, 22426, 12, 2451, 6319, 59929, 205416, 22426, 4, 6, 21106, 16932, 72577, 6093, 6, 148346, 15529, 35189, 11265, 6, 71804, 23405, 238144, 7972, 13805, 1470, 54260, 4667, 4, 2648, 120467, 874, 75230, 1644, 185182, 98833, 6, 148346, 54260, 1470, 54260, 4667, 6, 23173, 137377, 4, 6255, 55242, 8947, 3069, 6, 17645, 35465, 166464, 4, 1285, 7201, 23173, 13982, 120467, 7682, 54260, 2882, 43649, 54260, 2882, 1470, 54260, 4667, 132025, 8903, 25391, 710, 148346, 1211, 1470, 75230, 33225, 43649, 53414, 5, 11265, 1054, 35596, 26612, 6, 148346, 1644, 165592, 9221, 16932, 4231, 17310, 4, 6319, 59929, 205416, 22426, 710, 37271, 11265, 9934, 35596, 6, 26394, 22426, 710, 79238, 153222, 2882, 7265, 3373, 172398, 215726, 2702, 5, 2200, 1470, 75230, 148346, 874, 26, 35189, 71804, 23405, 2882, 1470, 54260, 4667, 7243, 4231, 53414, 166464, 5332, 22426, 13159, 7369, 29659, 21733, 59929, 116367, 4, 235466, 11265, 6, 86212, 165354, 2200, 151614, 148346, 1211, 6, 124470, 25207, 59661, 230764, 4151, 2190, 8903, 24152, 21660, 54260, 2882, 5, 6, 148346, 8580, 6255, 6, 61397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 91595, 84475, 101251, 61397, 91595, 705, 506, 183718, 6319, 59929, 205416, 22426, 37826, 74806, 119718, 116628, 2200, 212053, 7508, 26, 506, 64260, 6428, 59929, 6235, 97634, 1211, 4, 3056, 70845, 18330, 124470, 28714, 6235, 159696, 1211, 6, 148346, 137127, 6, 105780, 82576, 5, 2451, 16742, 6, 148346, 8580, 6, 61397, 91595, 4, 163139, 76961, 2865, 39083, 292, 37826, 6, 148346, 6093, 172398, 6, 18167, 4838, 79981, 8903, 35596, 59919, 2882, 5, 292, 2200, 1470, 54260, 35189, 11265, 119055, 29060, 81444, 56170, 3131, 80453, 54260, 28320, 10676, 33960, 23741, 69355, 18367, 82377, 4, 11265, 101251, 13342, 211630, 65482, 6, 148346, 9221, 61397, 170479, 2882, 11265, 37640, 16747, 119273, 159696, 15388, 2808, 54260, 5666, 104149, 4, 36324, 11265, 9934, 35596, 166777, 7243, 56170, 212484, 2882, 3120, 4269, 64260, 2200, 1644, 54260, 2882, 4, 133190, 36324, 1285, 56170, 119718, 186955, 17310, 37826, 6, 47351, 1470, 75230, 2932, 9213, 148346, 6093, 1470, 54260, 4667, 4838, 43649, 188301, 10705, 2932, 4, 874, 54260, 1211, 3944, 148346, 6093, 4, 1054, 120467, 9934, 29766, 98833, 6, 68558, 1470, 75230, 29111, 6093, 4, 11265, 170479, 2882, 151614, 148346, 1211, 9424, 79238, 23822, 54260, 33809, 23405, 5, 4151, 6, 21106, 16932, 6, 148346, 6093, 172398, 3056, 125523, 1470, 54260, 4667, 56170, 47351, 5, 6, 113889, 4, 6, 68558, 26612, 3131, 22426, 59929, 874, 54260, 1211, 4231, 17310, 711, 3373, 26, 68313, 20033, 5332, 22426, 13159, 1470, 54260, 23405, 73381, 21106, 1211, 6, 148346, 3111, 8903, 1470, 54260, 6093, 64769, 8580, 5, 168892, 151614, 148346, 4, 6, 238144, 16803, 1470, 54260, 1211, 4269, 64260, 6, 4, 1470, 75230, 2702, 8903, 236376, 5332, 22426, 13159, 6, 159696, 15388, 1470, 54260, 4667, 2205, 620, 29771, 7201, 212484, 4113, 3523, 91595, 5, 874, 26, 119718, 39083, 2882, 6235, 88660, 13497, 7508, 54260, 35465, 3120, 4838, 1470, 75230, 21066, 75230, 40920, 17310, 4, 123736, 148346, 6093, 10339, 129071, 13456, 204982, 20033, 1285, 81444, 4852, 125897, 1470, 88945, 4113, 17824, 75230, 36419, 151614, 7201, 43178, 109226, 4, 7243, 28415, 2200, 219947, 6, 238144, 29171, 6093, 4, 364, 54260, 16803, 8947, 6, 4, 163139, 11265, 170479, 2882, 1470, 75230, 2702, 8903, 506, 54260, 21295, 119055, 53414, 2200, 10705, 2865, 8903, 120749, 4269, 18167, 4838, 506, 54260, 112595, 29766, 1211, 7265, 17824, 75230, 2702, 81414, 49597, 33809, 2865, 6293, 5, 2451, 11265, 6, 105235, 21295, 6, 68558, 4838, 117902, 2442, 1470, 75230, 15388, 292, 37826, 7369, 4838, 225975, 6235, 97634, 1211, 113889, 4667, 4838, 41764, 75230, 39293, 119490, 6, 73381, 87442, 4, 3496, 64260, 3131, 364, 183718, 6319, 59929, 205416, 22426, 37826, 166777, 219947, 132025, 190135, 6319, 54260, 1211, 1470, 75230, 15388, 4, 133190, 37826, 4, 70845, 6, 148346, 26612, 236376, 620, 4113, 59919, 7682, 4, 2200, 26394, 29659, 2442, 54260, 2882, 3069, 235210, 12483, 292, 2200, 11265, 364, 54260, 148346, 2882, 7243, 6, 68558, 3069, 163139, 46053, 4, 199145, 4151, 21106, 16932, 6, 148346, 6093, 172398, 6319, 68558, 81444, 874, 54260, 49008, 5, 123736, 148346, 6093, 6255, 874, 54260, 1211, 8947, 36324, 75230, 5, 7265, 1470, 54260, 4667, 68313, 5332, 22426, 13159, 7243, 2205, 123736, 38054, 43178, 17310, 4, 6319, 59929, 205416, 22426, 5, 6255, 43649, 75230, 2702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 205026, 6, 68558, 4, 165592, 11265, 4838, 79981, 37826, 1470, 75230, 4667, 6, 148346, 26612, 119718, 69336, 20911, 8947, 3069, 6, 148346, 75322, 6093, 38249, 5, 8947, 3056, 7243, 2442, 6093, 564, 75230, 148346, 6093, 76776, 48974, 152830, 95766, 123736, 38054, 43178, 17310, 230764, 36324, 75230, 6, 238144, 2882, 4, 6, 47351, 1470, 54260, 123073, 56170, 25222, 23741, 7682, 17310, 6093, 3131, 54260, 5666, 109226, 88660, 49008, 20033, 6, 148346, 60732, 72841, 1211, 7243, 117902, 61621, 7265, 10676, 657, 218241, 21106, 1211, 3069, 29659, 183512, 4, 119718, 120467, 3056, 1751, 75230, 1211, 22753, 13497, 4838, 657, 141847, 6093, 6093, 9424, 54260, 2882, 6, 68558, 69529, 73995, 1751, 57277, 24152, 56170, 148346, 13159, 77188, 292, 6255, 6, 236376, 6, 23173, 54260, 1211, 4151, 8580, 7243, 3120, 3523, 91595, 1211, 6, 68558, 5, 6, 64260, 151614, 148346, 1211, 62808, 81444, 1470, 54260, 123073, 3523, 54260, 80885, 10339, 64260, 29771, 27, 657, 29771, 62808, 95455, 21776, 2882, 161829, 3069, 128540, 13342, 4151, 1751, 54260, 1211, 5, 11265, 215594, 4, 81444, 119055, 29060, 4151, 7369, 2932, 82576, 20632, 2648, 29171, 2200, 1751, 119718, 23173, 8300, 39293, 6093, 4, 163139, 178766, 21374, 49268, 6, 225975, 2882, 4, 76961, 2865, 39083, 7243, 151614, 148346, 1211, 3069, 46590, 2205, 119718, 120467, 7746, 132025, 13342, 153222, 109636, 1211, 5, 4838, 117902, 2442, 6, 172060, 185226, 1211, 220224, 49008, 1470, 23174, 48904, 64213, 21776, 2702, 29766, 148346, 54196, 4, 10069, 205814, 3056, 19302, 114436, 6235, 119718, 29766, 1211, 2200, 6, 95494, 63020, 4838, 144532, 8903, 23847, 65482, 56169, 2200, 2648, 120467, 3056, 4, 163139, 11265, 6, 238144, 16803, 4838, 210228, 3120, 364, 54260, 1644, 17310, 5, 230764, 10676, 3373, 67283, 3056, 10705, 2865, 24621, 2932, 44779, 3069, 7369, 21733, 53414, 1285, 2190, 36258, 39083, 710, 79950, 54260, 2882, 3120, 1470, 54260, 6093, 32887, 2865, 149364, 40096, 14303, 4, 115556, 5, 4151, 81444, 20911, 29766, 215594, 1470, 54260, 1211, 1285, 3523, 75230, 2882, 119718, 188301, 54260, 2882, 3069, 5332, 12984, 142170, 15857, 148346, 850, 5, 506, 183718, 6319, 59929, 205416, 22426, 2702, 6, 148346, 26612, 159696, 2932, 17310, 159308, 6319, 137377, 37826, 1470, 75230, 2702, 61397, 2442, 93449, 364, 73381, 192956, 3523, 54260, 61397, 7682, 54260, 2882, 5, 2451, 182261, 119055, 29060, 11265, 6, 236376, 1211, 4, 6319, 59929, 205416, 22426, 12, 4151, 117271, 148346, 21338, 2648, 123329, 148346, 6093, 172398, 65146, 874, 56401, 220224, 1211, 4, 36324, 7369, 37826, 1470, 54260, 4667, 620, 91595, 6235, 506, 54260, 21295, 5, 4151, 144754, 119718, 39083, 2882, 11265, 123736, 148346, 6093, 6, 148346, 1644, 75230, 4852, 132025, 8903, 4944, 71577, 2882, 7746, 6, 68558, 4838, 147582, 2932, 2200, 7243, 120202, 8903, 7201, 23173, 46545, 2882, 7746, 159308, 123736, 13805, 2200, 7265, 6, 148346, 6093, 172398, 1211, 1470, 75230, 4667, 7243, 5, 874, 26, 506, 64260, 1470, 54260, 4667, 219947, 6235, 506, 54260, 21295, 620, 91595, 4, 133190, 23165, 4838, 6, 148346, 710, 35044, 3069, 2808, 54260, 54561, 54260, 46545, 5, 20033, 3056, 2808, 54260, 23405, 73381, 21106, 1211, 4, 36324, 23165, 37826, 18225, 7243, 6235, 2648, 23173, 23741, 2205, 1470, 54260, 123073, 177157, 22426, 97634, 51723, 6, 104149, 1470, 75230, 2702, 31249, 21292, 44779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19767, 31467, 6093, 17494, 212484, 21292, 2200, 6255, 29434, 23174, 8947, 4838, 68550, 69355, 4151, 119055, 29766, 3131, 54260, 5666, 28726, 4944, 4484, 54260, 2882, 4, 36324, 364, 54260, 13497, 220224, 49008, 8947, 57588, 7243, 28415, 6, 112452, 2702, 159390, 4151, 69355, 5, 3373, 26, 192575, 220224, 1211, 6, 47351, 4838, 83182, 1751, 16932, 17310, 5, 657, 75230, 2882, 874, 54260, 1211, 874, 54260, 3111, 23405, 506, 64260, 11265, 6, 88660, 38249, 2909, 2451, 3373, 26, 95766, 874, 54260, 1211, 86510, 80885, 9213, 148346, 6093, 8300, 54260, 2932, 17310, 292, 37826, 4151, 364, 75230, 22680, 40096, 14004, 148346, 6093, 8903, 63751, 2882, 7265, 4838, 43649, 23173, 75290, 1211, 6, 92605, 8300, 35596, 4, 6, 148346, 75322, 6093, 4484, 213952, 1285, 6319, 137377, 148346, 26612, 159696, 2932, 17310, 96116, 364, 183718, 6319, 59929, 205416, 22426, 1211, 292, 36324, 11265, 37826, 3373, 186145, 22426, 97634, 88660, 38249, 5, 11265, 2648, 23173, 23741, 4151, 148346, 54260, 4, 175620, 4, 6, 124470, 710, 171665, 6293, 7243, 6, 23173, 54260, 5666, 7201, 21106, 1211, 2205, 6319, 54260, 1211, 22518, 37016, 5, 1639, 3373, 186145, 22426, 97634, 88660, 38249, 27702, 89991, 1211, 4, 199145, 163825, 1211, 7746, 2205, 6, 75290, 149364, 2205, 6, 119859, 57619, 37016, 54260, 28320, 2200, 6, 225164, 6, 23173, 75230, 2702, 364, 45631, 5, 132363, 97634, 2865, 59929, 6, 212915, 132, 159696, 15388, 22518, 37016, 37826, 220273, 7243, 6235, 88660, 13497, 220224, 1211, 6319, 54260, 1211, 7508, 54260, 2648, 5, 364, 183718, 78683, 16803, 29766, 22426, 2702, 874, 71512, 37826, 33960, 104238, 1470, 75230, 2702, 8903, 13982, 93449, 4838, 6, 56052, 11265, 171433, 40697, 6, 239162, 24152, 43178, 17310, 21422, 18895, 18630, 10676, 81444, 20911, 29766, 2702, 1751, 23173, 7201, 109995, 4, 84475, 220273, 236512, 31467, 10676, 5666, 54260, 12483, 110573, 61722, 4, 119055, 13845, 12984, 4151, 364, 75230, 22680, 40096, 37826, 70845, 6235, 119718, 39083, 2882, 132025, 97634, 1211, 7265, 220224, 1211, 506, 86733, 506, 194, 2451, 6319, 54260, 1211, 69529, 15857, 148346, 506, 230764, 112216, 29171, 711, 292, 37826, 6, 148346, 6093, 172398, 6235, 192539, 2882, 4852, 54260, 1211, 6, 148346, 75322, 6093, 4484, 17310, 292, 6, 78683, 38249, 37826, 148932, 1470, 54260, 59461, 5, 3496, 186145, 23741, 120467, 37826, 17645, 35189, 1470, 54260, 59094, 5, 11265, 6428, 23173, 23741, 1470, 54260, 4667, 220273, 219947, 1470, 54260, 50856, 54260, 35465, 5, 20033, 163139, 46053, 7369, 29659, 4852, 41595, 158628, 16667, 4, 36324, 37922, 72321, 6319, 68558, 151614, 148346, 1211, 3373, 186145, 22426, 97634, 88660, 38249, 2205, 6, 148346, 137119, 2200, 35189, 148346, 54260, 7243, 6, 23173, 75230, 2702, 238144, 56880, 6319, 54260, 1211, 69529, 3373, 109636, 42180, 28726, 22639, 55823, 4484, 13342, 4113, 6093, 3131, 54260, 5666, 109226, 5, 62808, 43649, 54260, 12483, 1470, 75230, 4667, 56170, 10676, 21776, 124740, 2882, 40096, 4, 199145, 3056, 125523, 101251, 148346, 233364, 13497, 7201, 23173, 6, 59929, 4667, 6, 88660, 147713, 1211, 4, 36324, 1470, 75230, 4667, 19767, 31467, 6093, 50931, 1211, 192183, 12483, 220224, 1211, 2205, 6, 148346, 137119, 6, 68558, 60732, 192183, 2702, 37016, 159696, 57619, 1211, 5, 874, 26, 68313, 9213, 105405, 44779, 220273, 2932, 29766, 6, 113889, 35596, 3069, 4151, 1470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 7201, 7201, 59929, 17310, 4, 36324, 19767, 31467, 6093, 17494, 212484, 3056, 1470, 54260, 105405, 44779, 4838, 6, 148346, 137119, 25616, 48904, 15307, 54260, 2882, 5, 506, 183718, 6319, 59929, 205416, 22426, 37826, 6235, 225975, 2882, 4, 36324, 95455, 2205, 6, 148346, 137127, 117578, 13159, 84577, 5, 2451, 119055, 12483, 6255, 6, 225975, 4, 364, 34533, 8947, 12, 3373, 186145, 22426, 97634, 2702, 292, 37826, 6, 148346, 6093, 172398, 119718, 710, 35189, 132025, 8903, 506, 75230, 148346, 1211, 292, 6428, 23173, 23741, 11265, 7243, 6, 148346, 21106, 2648, 6, 236376, 1211, 6, 159696, 15388, 4151, 3131, 159696, 2442, 6093, 30109, 48904, 15307, 54260, 2882, 5, 21422, 6, 64260, 10069, 19302, 41595, 16629, 20260, 4113, 151614, 148346, 1211, 7746, 6, 148346, 137127, 6, 148346, 165592, 21660, 2882, 2205, 1470, 54260, 4667, 4, 95455, 119055, 29060, 1285, 6, 148346, 129071, 6093, 101328, 203749, 40697, 130170, 119718, 4944, 23174, 3120, 148346, 137119, 6, 238144, 56880, 5, 123736, 148346, 6093, 21422, 1470, 54260, 6093, 364, 45631, 235466, 7746, 4151, 69355, 15, 2808, 75230, 148346, 874, 26, 23269, 63532, 6, 68558, 4, 165592, 220224, 220224, 49008, 56170, 47351, 247, 95455, 119055, 39083, 2882, 18225, 7746, 7369, 29659, 4151, 119718, 10705, 16803, 3120, 4151, 34575, 4113, 22426, 97634, 119718, 92605, 10918, 1211, 73486, 215726, 4, 3069, 119055, 13845, 104238, 20033, 119055, 39083, 28320, 3069, 8903, 186145, 28320, 2205, 20315, 2050, 10339, 21106, 5, 95455, 3056, 4151, 6, 159696, 2932, 4, 3944, 148346, 6093, 32054, 54260, 16747, 4, 2200, 6255, 56170, 506, 29771, 6293, 4, 163139, 8903, 225975, 2882, 4, 3069, 4151, 23847, 54260, 12984, 36324, 75230, 4838, 68550, 3069, 101251, 8903, 120749, 4113, 21776, 124740, 57277, 28320, 5, 36324, 75230, 3131, 28726, 109636, 103023, 163139, 3373, 26, 68313, 19767, 31467, 6093, 17494, 212484, 4, 36324, 75230, 4269, 18167, 192183, 12483, 364, 54260, 13497, 30109, 135118, 3120, 17645, 119132, 6, 56052, 6235, 506, 54260, 21295, 119055, 53414, 4, 2200, 1470, 75230, 148346, 11265, 119055, 29060, 6, 148346, 104383, 21776, 26612, 2932, 52541, 230764, 6, 148222, 54260, 110970, 80453, 31623, 109226, 4, 119055, 29060, 11265, 2205, 6, 86138, 3120, 55242, 13805, 119055, 29771, 12984, 220224, 1211, 203013, 5, 199145, 225975, 2882, 11265, 182261, 705, 4151, 6, 21106, 16932, 6, 148346, 6093, 172398, 6, 238144, 16803, 119055, 10705, 48494, 8580, 4, 17288, 705, 2451, 657, 14236, 14236, 31467, 506, 3056, 8947, 6, 148346, 1644, 75230, 4852, 4838, 10372, 150839, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 225975, 2882, 874, 40096, 5, 35189, 564, 75230, 148346, 6093, 148346, 23173, 2932, 119477, 2451, 4838, 10372, 150839, 4, 199145, 6, 212484, 2882, 7746, 6, 148346, 26612, 238144, 56880, 38, 36324, 63188, 80839, 40920, 148346, 23173, 20616, 86733, 506, 38, 292, 37826, 4151, 364, 75230, 22680, 40096, 6235, 35596, 59919, 2882, 5, 292, 11265, 119055, 29060, 55242, 12483, 4, 119718, 710, 80839, 40920, 148346, 23173, 22753, 3056, 4, 119055, 12483, 230764, 178766, 151614, 20315, 159696, 1211, 6, 159696, 67873, 6, 101470, 28415, 1211, 4852, 18167, 1285, 6, 78683, 38249, 5, 874, 29766, 15388, 6, 113889, 4944, 9719, 97634, 2932, 119055, 13845, 6255, 6, 148346, 54260, 6, 23173, 18167, 4838, 8300, 26612, 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 ]
[ 160204, 4, 78683, 16803, 29766, 22426, 5, 657, 75230, 2882, 76961, 110573, 1644, 18273, 3120, 4838, 6428, 29766, 7201, 65689, 6, 70129, 6, 159696, 67873, 20033, 1470, 54260, 4667, 212484, 1211, 3069, 4151, 84475, 5, 95455, 3056, 4838, 145813, 59929, 56170, 7746, 2200, 6319, 68558, 6, 148346, 25207, 183216, 6235, 148346, 35596, 105235, 6, 73381, 87442, 1211, 56170, 1211, 110304, 2200, 56170, 4151, 3523, 83586, 27, 506, 183718, 6319, 59929, 205416, 22426, 37826, 7369, 21733, 77188, 4, 36324, 7508, 26, 95766, 17824, 54260, 2882, 3069, 4151, 46440, 92500, 37826, 10339, 54260, 1211, 120202, 8903, 94741, 185226, 56170, 4151, 1470, 75230, 7201, 46685, 4484, 235210, 4484, 54260, 2882, 96116, 10676, 506, 75230, 22680, 40096, 5, 7369, 37826, 6235, 234221, 1470, 54260, 5666, 8903, 148346, 75230, 15388, 10676, 6319, 137377, 3069, 1285, 6, 92605, 35044, 12483, 92500, 37826, 6, 113889, 4944, 8903, 98055, 2882, 10676, 364, 75230, 22680, 40096, 4, 119055, 13845, 104238, 37826, 4838, 159696, 4484, 8903, 141356, 77188, 5, 10676, 36326, 17748, 7508, 54260, 2648, 151614, 148346, 1211, 6235, 5666, 75230, 132025, 8903, 226112, 33225, 2205, 4838, 46050, 2882, 65689, 6, 87311, 96302, 5, 7508, 93704, 75322, 84577, 37826, 6, 119859, 69106, 6, 120749, 7682, 1470, 75230, 2702, 8903, 2882, 54260, 2882, 29659, 364, 183718, 6319, 59929, 205416, 17748, 67826, 2865, 17310, 92500, 220224, 1211, 874, 71512, 5, 1285, 6, 142170, 130170, 23269, 2865, 17310, 3056, 6235, 159696, 1211, 6, 148346, 26612, 29659, 710, 63532, 292, 148346, 187327, 4151, 13342, 6, 148346, 26612, 29659, 710, 63532, 4, 7369, 37826, 220273, 219947, 6235, 105330, 13497, 2205, 4151, 171665, 119718, 5927, 4151, 69355, 292, 4269, 81824, 3069, 220224, 1211, 10676, 16175, 75230, 28320, 41764, 710, 185226, 4, 230764, 119055, 13845, 12984, 35189, 6, 119859, 16803, 37826, 7746, 22753, 13497, 7243, 6, 71804, 23405, 6235, 17268, 49008, 5, 2007, 64260, 8947, 657, 54260, 40920, 6235, 88660, 13497, 4838, 136108, 92904, 710, 183216, 37640, 6, 109995, 874, 74813, 4, 1054, 120467, 37826, 3523, 21295, 4151, 87311, 13497, 47833, 7201, 23173, 29659, 29766, 148346, 65482, 2050, 6, 101328, 26612, 15949, 36258, 4, 2205, 4231, 114436, 21422, 2882, 6, 4, 119055, 12483, 3373, 26, 506, 29771, 148346, 1211, 7746, 6235, 8300, 54260, 46545, 2882, 2205, 70845, 6235, 119718, 710, 36419, 163139, 1644, 20315, 2200, 5332, 47063, 9134, 2648, 125897, 27702, 3131, 167673, 1211, 5, 2865, 26, 88660, 1211, 6, 225975, 1211, 125523, 28415, 5, 7243, 6, 148346, 1644, 75230, 4852, 7369, 6, 21106, 54260, 1211, 4, 364, 183718, 6319, 59929, 205416, 22426, 6, 4, 68313, 4, 163139, 3373, 26, 506, 64260, 1470, 75230, 2702, 8903, 104149, 3069, 130991, 3069, 215031, 16175, 75230, 28320, 9585, 185226, 4, 133190, 2702, 26, 506, 64260, 7746, 70845, 6235, 29257, 40920, 4, 36324, 95455, 55242, 1644, 148346, 4113, 74806, 29060, 7265, 4151, 6, 159696, 21295, 6, 4, 144754, 6, 21106, 7611, 4, 7265, 137, 20315, 2050, 4269, 48904, 64213, 155, 6, 4, 84475, 125523, 28415, 12, 7369, 37826, 1470, 75230, 2702, 8903, 17268, 49008, 4, 165592, 3373, 26, 68313, 1751, 159696, 2442, 81444, 130170, 13342, 3131, 54260, 35465, 95455, 6, 148346, 165592, 88917, 123073, 3120, 10676, 4838, 122868, 63593, 54260, 119132, 5, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 148707, 26394, 120580, 152185, 77208, 3120, 220224, 1211, 56170, 148346, 710, 16747, 17310, 7265, 45521, 68959, 43178, 28726, 4944, 4484, 54260, 2882, 2819, 1285, 84087, 7201, 26612, 15949, 39340, 1470, 75230, 141562, 35189, 17310, 4, 1054, 120467, 4231, 65482, 36258, 3496, 47890, 37826, 23173, 54260, 5666, 8903, 148346, 189623, 98833, 2205, 4151, 6, 48904, 29659, 186955, 2819, 4151, 10339, 129071, 4, 199145, 6319, 71804, 40633, 26612, 3131, 29771, 137218, 3056, 163139, 35189, 4838, 159696, 4484, 3120, 71107, 81444, 1470, 75230, 148346, 1211, 74, 95455, 6235, 39293, 8903, 49008, 7746, 4, 119718, 120467, 3056, 6235, 159696, 1211, 6, 148346, 26612, 3131, 64260, 13497, 7265, 4151, 46711, 48904, 7682, 3120, 17824, 75230, 46053, 123736, 7201, 225975, 1211, 4852, 18167, 2200, 199145, 3056, 160238, 130991, 9424, 119718, 65689, 11265, 2200, 10676, 9213, 148346, 6093, 8903, 148346, 7972, 148346, 65482, 2050, 18133, 148346, 15529, 35189, 3120, 11265, 364, 23173, 99509, 7265, 4231, 45629, 21219, 5666, 61722, 73784, 6658, 4, 292, 155740, 97634, 2865, 59929, 6, 212915, 4852, 41595, 241662, 37826, 7746, 132025, 8903, 506, 75230, 148346, 1211, 10676, 4231, 17310, 5666, 212915, 18133, 40920, 1211, 4, 36324, 7265, 35189, 6, 159696, 21295, 2200, 159308, 17190, 148346, 1211, 3056, 5332, 22426, 13159, 7243, 1470, 23174, 48904, 64213, 2205, 6, 29766, 20315, 3111, 5666, 8903, 22426, 13159, 36324, 75230, 163139, 95455, 6, 21106, 7611, 119055, 39083, 2882, 160238, 130991, 230764, 4838, 6, 148346, 165592, 88917, 53414, 55726, 171665, 119132, 72841, 1211, 2200, 110573, 92904, 4838, 63849, 46685, 119055, 92605, 1644, 103023, 2200, 4151, 13982, 7682, 213952, 2819, 4269, 32792, 163139, 3373, 26, 119718, 39083, 23093, 29771, 148346, 1211, 9213, 148346, 6093, 139449, 1285, 67882, 40920, 4838, 54745, 87311, 1211, 4, 199145, 37826, 6, 148346, 15533, 182261, 6, 4, 88771, 119859, 69106, 6, 71804, 23405, 4, 620, 52480, 2865, 59094, 103023, 2200, 6, 76776, 184855, 4, 6235, 506, 40096, 17824, 75230, 46053, 1470, 54260, 5666, 21066, 24244, 5, 14004, 56169, 123736, 148346, 6093, 37826, 7369, 36324, 75230, 101251, 2932, 21660, 75230, 63532, 4151, 21733, 77188, 220224, 1211, 21934, 10125, 4, 165592, 3373, 26, 506, 64260, 6, 139449, 6, 148346, 26612, 7201, 21106, 1211, 4838, 192556, 850, 2648, 125897, 22518, 37016, 2200, 3373, 26, 4852, 54260, 49008, 6, 113889, 35596, 6235, 119718, 29766, 1211, 1285, 6235, 94741, 20260, 12483, 6, 159696, 15388, 193178, 162726, 64190, 5, 4151, 6, 113889, 51723, 3120, 20315, 87311, 1211, 3056, 292, 32887, 2865, 22426, 4484, 54260, 2882, 5, 2865, 26, 159696, 2882, 6, 234221, 4, 36324, 4151, 4151, 8300, 54260, 44478, 3056, 3523, 22151, 28714, 103023, 2200, 6, 90848, 2865, 84577, 13456, 35189, 144754, 4, 199145, 7369, 6, 148346, 189623, 98833, 2205, 56170, 148346, 710, 16747, 17310, 1285, 32887, 2865, 22426, 4484, 54260, 2882, 7265, 10676, 20315, 87311, 207591, 1211, 2200, 22518, 54260, 148346, 2882, 11265, 3069, 4838, 163139, 24152, 17310, 3120, 874, 34533, 152185, 17824, 75230, 1644, 5, 29771, 148346, 6093, 37640, 16747, 119273, 159696, 15388, 6, 236376, 1211, 20033, 7243, 1470, 75230, 2702, 4, 133190, 20033, 6, 234221, 4852, 18167, 6235, 5666, 75230, 2205, 4151, 6, 149364, 4852, 43178, 192956, 2442, 9213, 148346, 6093, 28726, 148346, 161829, 3120, 178766, 29288, 1211, 506, 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 ]
[ 2648, 5, 20033, 6, 238144, 46053, 6, 159696, 15388, 11265, 230764, 6, 47351, 185527, 4, 199145, 6, 212484, 2882, 7746, 6, 4, 88771, 4, 219947, 192183, 226112, 1644, 52541, 2200, 95455, 204982, 194706, 124724, 87442, 10676, 6, 148346, 26612, 238144, 1211, 4, 36324, 18415, 2865, 22426, 4484, 54260, 2882, 6319, 68558, 6, 148346, 54260, 36324, 13845, 107581, 6, 148346, 93704, 23405, 183216, 6, 148346, 92605, 51723, 215031, 3496, 23173, 129071, 6093, 92500, 6, 23173, 75230, 2702, 225164, 36324, 13845, 107581, 6235, 46590, 1211, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 7746, 101251, 8903, 98055, 2882, 27, 7369, 37826, 6235, 104149, 190800, 2808, 75230, 2702, 2190, 7758, 54260, 17017, 4113, 4944, 4484, 54260, 2882, 4, 6, 184855, 22529, 10069, 13805, 2200, 6093, 37826, 6235, 119718, 10705, 16803, 4, 199145, 36324, 75230, 16667, 7369, 215594, 95455, 17190, 148346, 1211, 6, 68558, 9424, 54260, 2882, 4, 95455, 28726, 148346, 1211, 6, 68558, 9934, 29766, 15388, 2200, 151614, 55823, 3111, 23405, 4, 95455, 17190, 148346, 1211, 163139, 4838, 56170, 97594, 159696, 33716, 32887, 46545, 21660, 4113, 212484, 20260, 54260, 2882, 4, 95455, 16175, 75230, 18415, 17190, 148346, 1211, 5, 2702, 26, 506, 64260, 4151, 8580, 6235, 506, 6093, 29659, 6, 148346, 26612, 36326, 23741, 93449, 4484, 54260, 2882, 4, 32887, 46545, 54260, 28320, 3120, 2376, 6093, 1644, 54260, 2190, 136876, 220224, 49008, 6235, 240863, 12483, 186046, 21106, 13845, 5, 123736, 148346, 6093, 3120, 9424, 54260, 2882, 3069, 9424, 54260, 2882, 68313, 1470, 54260, 23269, 3120, 220224, 6235, 119718, 29766, 1211, 163139, 50853, 2205, 4151, 6, 87311, 20315, 2200, 6, 21106, 7611, 37826, 7746, 7201, 208048, 147502, 130170, 8903, 8903, 148346, 1211, 3069, 10676, 5, 36324, 905, 54260, 77985, 37826, 1285, 4838, 101296, 205416, 40697, 7201, 64260, 29771, 2932, 48775, 7916, 4113, 3120, 76961, 2865, 39083, 6, 68558, 74806, 22426, 710, 21295, 4838, 6, 148346, 93704, 54260, 2882, 213952, 4113, 7508, 39083, 2205, 4151, 148346, 6093, 29400, 29771, 6293, 159696, 21295, 5, 123736, 148346, 6093, 1751, 75230, 1211, 9424, 238144, 874, 39083, 15, 119718, 29766, 46598, 119055, 6093, 3373, 26, 68313, 81444, 6235, 159696, 1211, 1470, 75230, 148346, 1211, 6235, 3111, 2932, 6, 71804, 23405, 4, 37826, 6235, 88660, 13497, 4151, 28726, 148346, 1211, 10676, 45521, 12415, 142429, 65689, 98252, 75290, 3120, 36324, 13845, 107581, 5332, 22426, 88945, 9719, 13159, 16, 3056, 1285, 657, 54260, 2648, 5666, 95494, 23741, 4151, 13342, 230764, 119718, 29771, 12984, 2200, 73880, 6, 71804, 23405, 6235, 119718, 29766, 1211, 76961, 24621, 16667, 74127, 8903, 609, 5, 3373, 26, 68313, 29288, 7243, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 5666, 145445, 8903, 159696, 1211, 6319, 54260, 1211, 22639, 6093, 4, 199145, 170479, 7243, 7265, 6, 47351, 7369, 16667, 16932, 874, 71512, 4838, 54260, 5666, 148346, 75230, 15388, 20315, 2050, 6319, 137377, 364, 41595, 6093, 4838, 6, 78683, 24621, 48775, 4, 199145, 3056, 132025, 8903, 3131, 22426, 23173, 2882, 2205, 364, 23173, 7611, 68566, 148346, 1644, 2200, 6, 212484, 1211, 4838, 6, 148346, 7972, 179561, 160204, 1285, 6, 148346, 7972, 152848, 5, 95455, 6, 238144, 56880, 120202, 13342, 15388, 148346, 54260, 2050, 6, 147502, 37826, 220273, 7243, 6, 139449, 6319, 54260, 1211, 77208 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 162726, 905, 34709, 17310, 3056, 6235, 119718, 29766, 1211, 26612, 6, 87311, 20315, 4, 6, 21106, 54260, 1211, 160238, 13342, 225164, 5, 1285, 33718, 177243, 78683, 46685, 4, 199145, 2205, 6235, 159696, 1211, 2205, 2702, 208048, 205416, 17645, 4, 37826, 6, 238144, 2882, 7243, 6235, 21733, 87442, 56170, 76961, 5, 874, 26, 506, 64260, 56170, 105235, 21295, 10069, 6, 148346, 21106, 88660, 1211, 2882, 52541, 2200, 1285, 45521, 16667, 16932, 3120, 1285, 21422, 46685, 1211, 7265, 1751, 119718, 23173, 26394, 7201, 29766, 506, 26612, 183216, 5, 196991, 7508, 75230, 28320, 3944, 40920, 37826, 18225, 36324, 75230, 46590, 4838, 144532, 8903, 22426, 29766, 29060, 7746, 7265, 4944, 63593, 40697, 6, 148346, 16870, 6093, 4, 6, 148346, 15533, 3373, 26, 68313, 6235, 119718, 29766, 1211, 4838, 22518, 29111, 2205, 4151, 6, 148346, 15096, 2932, 23173, 152185, 126934, 2648, 35596, 3120, 72577, 1211, 22444, 46053, 147502, 3056, 114564, 153796, 7243, 56170, 148346, 2442, 35596, 6235, 119718, 29766, 1211, 2808, 75230, 6293, 6319, 75230, 1644, 5, 7369, 29659, 241662, 37826, 1285, 56170, 119718, 186955, 17310, 95455, 6, 21106, 7611, 56170, 159696, 33716, 5, 1982, 21106, 2648, 37826, 18225, 1470, 54260, 5666, 8903, 104149, 4, 36324, 1285, 41764, 134193, 4113, 10339, 64260, 29771, 2932, 48775, 7916, 4113, 2205, 6, 48904, 136775, 2648, 123329, 64769, 8580, 5, 3373, 26, 4852, 54260, 49008, 1470, 75230, 7201, 130991, 6, 148346, 7972, 7611, 7972, 40920, 2808, 75230, 7201, 76776, 195164, 2200, 7201, 23173, 148346, 125897, 10339, 64260, 29771, 2932, 48775, 7916, 13159, 657, 75230, 2882, 657, 50622, 93497, 58573, 142429, 5, 874, 26, 506, 64260, 1751, 57277, 24152, 221531, 8903, 506, 40096, 3120, 6, 148346, 15350, 35189, 4, 119055, 10705, 1285, 6, 149364, 4852, 239162, 1211, 2451, 22426, 12666, 34709, 23174, 6235, 226112, 7201, 65482, 3120, 101296, 2932, 23269, 4852, 17645, 148346, 7972, 7611, 292, 151614, 148346, 1211, 6235, 98055, 2882, 7265, 1470, 75230, 2702, 8903, 21847, 29771, 8300, 18415, 1470, 75230, 15388, 2200, 1285, 22426, 7511, 46685, 22753, 49008, 6235, 159696, 1211, 4838, 3131, 23847, 75230, 56170, 25616, 75322, 23741, 4, 163139, 6, 148346, 54260, 37189, 17525, 3120, 7369, 2865, 29766, 20315, 18415, 4, 49027, 107581, 874, 26, 506, 64260, 4838, 905, 37016, 8903, 39293, 56169, 7265, 123736, 7201, 65482, 2190, 15388, 5, 364, 183718, 6, 78683, 2050, 2882, 99766, 37826, 6235, 506, 40096, 6, 148346, 54260, 7746, 4838, 21847, 48350, 6093, 23269, 19302, 40697, 4, 199145, 3056, 6235, 159696, 1211, 6235, 48775, 63532, 2205, 112216, 22426, 5, 119055, 12483, 874, 26, 506, 64260, 22753, 3069, 190135, 73784, 3944, 40920, 4, 37826, 18225, 8903, 88660, 13497, 6, 104149, 70845, 9424, 119718, 65689, 4151, 32054, 75230, 1751, 16932, 2200, 4151, 895, 7201, 84577, 148346, 54260, 6093, 59461, 28726, 119718, 710, 5, 1285, 200795, 37826, 6235, 226112, 15388, 4838, 11211, 17017, 148346, 1644, 75230, 12483, 3373, 159696, 16932, 4, 1285, 221895, 2451, 26612, 6, 148346, 1644, 126651, 75230, 28320, 5, 7369, 6, 21106, 54260, 1211, 37826, 6235, 506, 40096, 4838, 17806, 149364, 2442, 75230, 18415, 72308, 506, 2205, 3056, 74806, 57277, 49008, 230764, 4838, 23847, 127684, 119055, 21106, 55546, 171433, 39340, 9424, 119718, 65689, 17824, 75230, 8903, 28726, 6, 148346, 12666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51723, 5, 19532, 23269, 506, 64260, 7369, 6235, 226112, 15388, 2205, 6, 71804, 7611, 5, 3131, 109636, 16932, 37826, 7746, 132025, 8903, 506, 75230, 148346, 1211, 95455, 6, 235210, 1644, 12483, 67882, 24152, 13159, 4, 7265, 119055, 13845, 12984, 2808, 54260, 179561, 23269, 151614, 148346, 1211, 43649, 188301, 7746, 6235, 204403, 24152, 29060, 2200, 199145, 10339, 147713, 2882, 16175, 54260, 1644, 2865, 39083, 7201, 23173, 119718, 183512, 21295, 119055, 53414, 2205, 6, 47351, 4838, 122868, 63593, 54260, 1211, 74127, 8903, 609, 5, 148932, 1470, 54260, 59461, 37826, 8903, 21733, 4113, 22426, 2882, 4, 6235, 95494, 104238, 2882, 6, 4, 6235, 2882, 75230, 29659, 5, 874, 26, 506, 64260, 6235, 234221, 84087, 174121, 1644, 34533, 71512, 4852, 47750, 76776, 67873, 4, 6235, 7916, 33716, 6319, 29766, 13159, 204403, 152848, 69106, 7265, 67882, 24152, 13159, 8903, 36326, 23741, 1211, 2205, 6, 212394, 92500, 2205, 1470, 75230, 2702, 212394, 4, 7265, 84087, 174121, 1644, 34533, 40697, 56170, 2808, 54260, 49008, 2200, 4838, 101296, 205416, 1211, 5, 26612, 46590, 905, 36324, 13845, 107581, 4, 199145, 151614, 148346, 1211, 6319, 75230, 2050, 6235, 88660, 13497, 657, 75230, 2882, 220224, 6093, 67882, 16932, 17645, 44478, 137197, 97634, 2865, 59929, 6, 212915, 71804, 8903, 1470, 75230, 2702, 234221, 95455, 73880, 84475, 6, 101328, 61621, 1644, 48904, 8903, 220224, 1211, 2205, 4151, 6, 129914, 202075, 2648, 125897, 3373, 208048, 205416, 17645, 4, 151614, 148346, 1211, 9424, 3523, 75230, 7916, 37016, 4838, 56169, 4151, 3131, 8300, 75230, 5, 141943, 17645, 5, 45495, 195164, 4, 171665, 10069, 3069, 6, 148346, 26612, 104378, 119055, 13845, 12984, 55242, 21295, 65482, 2050, 5332, 215052, 63593, 22426, 7972, 23173, 5, 2648, 120467, 37826, 6235, 2648, 75230, 77188, 36324, 75230, 6, 71804, 23405, 6, 148346, 15533, 3373, 26, 68313, 6, 23173, 75230, 2702, 8903, 3131, 80453, 905, 49008, 47351, 4838, 83182, 6, 76776, 12415, 38596, 54260, 2882, 5, 3373, 26, 68313, 6235, 119718, 29766, 1211, 2205, 72577, 1211, 160204, 95455, 6, 235210, 1644, 12483, 92500, 110573, 92904, 2648, 125897, 6, 23173, 54260, 23269, 46053, 2205, 7746, 1751, 218241, 39083, 93704, 3120, 2376, 6093, 7972, 3373, 99766, 1211, 5, 76961, 506, 29771, 148346, 1211, 7746, 4838, 144532, 8903, 13982, 54260, 2882, 7265, 6, 148346, 2442, 75230, 23269, 874, 54260, 44478, 5, 1285, 6, 148346, 13159, 18415, 874, 228583, 3120, 35189, 6, 148346, 6093, 29400, 29771, 6293, 16580, 4667, 37826, 18225, 6235, 8903, 46053, 10339, 75230, 1644, 2200, 187667, 6, 80453, 29060, 43178, 30473, 13159, 4, 238144, 1644, 1285, 6, 87311, 2932, 16667, 220224, 49008, 132025, 8903, 29659, 137377, 2882, 6235, 159696, 1211, 2200, 56170, 22426, 129071, 7265, 137, 9719, 1644, 78683, 68380, 2004, 137, 3131, 218241, 39083, 93704, 4838, 71804, 30109, 46598, 6, 94741, 87311, 16747, 155, 6, 4, 137, 2865, 23173, 16580, 76776, 204403, 69181, 172398, 155, 92500, 4269, 39083, 2648, 148346, 26612, 3131, 80453, 135118, 1644, 18415, 137, 4484, 40096, 26394, 57619, 109226, 2909, 2648, 120467, 9424, 54260, 4944, 171428, 6, 133274, 52480, 44779, 7265, 3069, 8903, 101296, 4944, 18415, 1470, 75230, 15388, 4, 199145, 3056, 2808, 54260, 23405, 73381, 54196, 6235, 119718, 29766, 1211, 6, 75322, 39083, 2205, 4838, 6319, 23173, 76776, 119718, 21106, 76776 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40920, 96116, 4151, 17288, 4944, 82576, 6, 149364, 4852, 68558, 2200, 199145, 3056, 22753, 13497, 241662, 6235, 119718, 29766, 1211, 220224, 6093, 117902, 172060, 44478, 4, 506, 64260, 6, 238144, 16932, 6235, 7916, 33716, 3069, 6235, 29771, 107182, 2442, 40697, 6235, 2648, 69127, 80453, 33809, 119718, 1211, 5, 230764, 4838, 8300, 54260, 23093, 64260, 95455, 56170, 3111, 51723, 1285, 4269, 34533, 125897, 6, 114436, 46677, 3120, 76961, 6, 148346, 6093, 5927, 29771, 6293, 8903, 16803, 92500, 4838, 46590, 905, 1285, 141879, 6235, 94741, 20260, 12483, 2200, 6, 114436, 46677, 3120, 1285, 1751, 159696, 24152, 48775, 20260, 4113, 5, 905, 29771, 12984, 71804, 23405, 3056, 1285, 3373, 208048, 205416, 17645, 74806, 57277, 12483, 6, 62067, 53414, 9424, 54260, 12984, 3120, 4838, 88660, 2865, 22426, 7972, 138194, 16932, 10184, 40505, 4, 119055, 13845, 107581, 3056, 6, 148346, 26612, 3131, 57277, 49008, 36324, 3131, 3120, 4838, 40920, 17824, 75230, 36419, 92500, 19302, 71512, 30109, 54260, 56880, 2200, 3120, 3373, 4667, 6, 23173, 54260, 5666, 8903, 21066, 29771, 40920, 65482, 29434, 54260, 37016, 1211, 5, 1285, 1470, 75230, 7201, 119859, 148346, 4113, 3056, 6, 148346, 26612, 3131, 57277, 49008, 4151, 8580, 12, 6, 64260, 10069, 56170, 119718, 7682, 1644, 18415, 10184, 40505, 1470, 75230, 114349, 39083, 1211, 95766, 1470, 54260, 1211, 21422, 7265, 4151, 45521, 35189, 5, 123736, 148346, 6093, 4151, 17288, 4944, 82576, 6, 89991, 3056, 6235, 159696, 1211, 2648, 120467, 3069, 193178, 1470, 75230, 4667, 7265, 56170, 148346, 88917, 65482, 1470, 75230, 15388, 5, 6, 195054, 109226, 3056, 8947, 77208, 171665, 1644, 72507, 15, 2808, 75230, 148346, 874, 26, 4852, 39083, 6, 159696, 67873, 1470, 75230, 186436, 38249, 3120, 206105, 19302, 71512, 6, 119273, 29060, 40697, 221585, 15050, 16, 10676, 116486, 73486, 29766, 112216, 48775, 119718, 84577, 4, 119055, 13845, 104238, 3056, 6235, 159696, 1211, 4151, 2702, 75322, 4113, 83066, 6093, 2205, 50180, 14540, 17806, 57619, 5666, 101296, 104238, 54260, 5, 62808, 6, 238144, 46053, 4, 36324, 7369, 37826, 7746, 56170, 3111, 51723, 7265, 874, 174121, 101296, 46545, 5, 20033, 6, 238144, 46053, 13159, 3120, 364, 75230, 22680, 40096, 37189, 27720, 2200, 20033, 192183, 12483, 1470, 75230, 4667, 1285, 21422, 40920, 125897, 46711, 54260, 148346, 37016, 48775, 23741, 3120, 4151, 81444, 4852, 123329, 33691, 5, 20033, 151614, 148346, 1211, 221387, 1751, 57277, 24152, 657, 75230, 148346, 1211, 30473, 163139, 5332, 22426, 13159, 4, 199145, 107776, 137377, 2200, 32887, 2865, 22426, 2882, 137377, 1285, 6, 124470, 2808, 119718, 609, 5, 119055, 12483, 76961, 119718, 39083, 28320, 7746, 120202, 8903, 8903, 148346, 1211, 4151, 144754, 4, 119055, 39083, 2882, 18225, 158628, 16667, 18330, 124470, 28714, 6235, 159696, 1211, 56170, 3131, 22426, 23173, 2882, 1470, 54260, 57619, 905, 215629, 3523, 54260, 4113, 6, 58082, 41507, 5, 4151, 6, 135249, 3056, 8947, 6, 148346, 93704, 6093, 9424, 75230, 148346, 139365, 23173, 2932, 146086, 3131, 57277, 49008, 2205, 56170, 101296, 12984, 76961, 6, 148346, 21106, 88660, 1211, 27909, 4944, 8903, 23405, 3120, 1285, 7544, 66317, 21847, 48350, 6093, 23269, 159696, 13497, 5, 4151, 6, 148346, 29766, 2865, 54260, 82576, 37826, 56170, 215206, 21295, 177274, 6, 76776, 40920, 1285, 19302, 71512, 2882, 52541, 4, 2200, 4151, 71107, 37826, 6, 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 ]
[ 4667, 4151, 148346, 54260, 9181, 175483, 6235, 101296, 40920, 5, 4151, 7201, 23173, 37826, 51723, 22753, 13497, 241662, 1751, 57277, 24152, 6235, 46464, 40920, 21422, 46685, 1211, 1470, 75230, 33225, 7369, 29659, 1211, 43649, 218241, 14004, 148346, 6093, 4151, 6, 159696, 48775, 152848, 5, 6428, 99766, 1211, 4, 1470, 75230, 148346, 874, 26, 68313, 4838, 12415, 148346, 6093, 8903, 4484, 90848, 12984, 9213, 148346, 6093, 35189, 6, 148346, 21106, 71616, 48775, 20315, 4, 37826, 18225, 6235, 88660, 13497, 159308, 6, 23173, 75230, 2702, 29659, 23173, 50856, 133671, 34076, 48350, 6093, 119132, 6, 94741, 4667, 4269, 54260, 1211, 3120, 6, 212484, 36326, 3069, 6, 212484, 36326, 1470, 75230, 114349, 54260, 2648, 213952, 1285, 16175, 9221, 44779, 5, 29771, 148346, 6093, 56170, 1211, 116486, 73486, 29766, 2702, 6, 159696, 15388, 119055, 39083, 2882, 18225, 6, 148346, 104383, 7243, 6235, 159696, 1211, 6235, 2648, 23173, 23741, 4838, 24295, 215629, 1285, 3523, 54260, 4113, 6, 204932, 10918, 22426, 79981, 5, 10676, 1751, 119718, 53414, 6, 210333, 4, 119055, 13845, 12984, 22426, 23173, 26612, 119718, 84577, 37826, 190800, 8903, 101296, 40920, 236512, 31467, 4151, 4151, 3131, 54260, 3111, 23405, 3120, 4231, 114436, 4113, 25222, 22426, 2882, 152185, 10339, 59929, 24621, 4, 37826, 7369, 1751, 75230, 1211, 6, 71804, 23405, 6235, 506, 40096, 4269, 81824, 6235, 159696, 1211, 5, 22753, 2205, 8903, 159696, 1211, 1285, 141879, 4, 199145, 37826, 56170, 95494, 23741, 9934, 29766, 15388, 220224, 1211, 110304, 5, 22753, 13497, 241662, 506, 64260, 7369, 7746, 7265, 16175, 137377, 1644, 16932, 6, 114436, 46677, 6235, 119718, 29766, 33225, 2205, 1285, 123736, 25207, 36258, 4151, 21733, 29766, 2808, 75230, 2932, 123329, 6235, 146887, 4, 199145, 6, 159696, 15388, 11265, 6, 148346, 23173, 905, 98071, 4484, 213952, 6093, 67882, 40920, 37826, 35189, 364, 75230, 22680, 40096, 36324, 75230, 1751, 54260, 1211, 6235, 125810, 13497, 5, 7243, 4838, 83182, 3131, 163139, 7265, 10676, 116486, 148346, 28726, 2050, 3120, 6319, 119718, 93704, 48775, 29631, 3120, 30109, 54260, 4852, 37826, 7369, 7746, 182261, 120202, 8903, 8903, 148346, 1211, 6, 148346, 54260, 97634, 2932, 2200, 6, 148346, 54260, 76776, 40920, 4, 37826, 4151, 8580, 6, 23173, 54260, 23405, 13845, 176727, 220224, 23269, 76961, 33414, 20560, 6, 4, 6, 158548, 48904, 26394, 6, 150349, 99766, 40697, 5332, 47063, 9134, 4, 7265, 49027, 104238, 7369, 37826, 6, 75322, 39083, 15, 7201, 23173, 4852, 54260, 23269, 123736, 23741, 7201, 23173, 1644, 141847, 6093, 18415, 34482, 1644, 75230, 148346, 1211, 4, 199145, 151614, 148346, 1211, 6235, 234221, 564, 54260, 9213, 148346, 6093, 2932, 54260, 1211, 2205, 99509, 29659, 188301, 6093, 37922, 89184, 29631, 16, 155231, 6235, 159696, 1211, 2205, 56170, 7201, 39083, 15388, 29766, 4113, 24621, 6, 148346, 109316, 109184, 29171, 13159, 5, 35189, 1470, 75230, 2702, 8903, 5666, 69181, 3131, 16932, 6, 148346, 26612, 75322, 16932, 37826, 2205, 6, 86138, 3120, 220224, 23269, 29659, 210326, 1211, 7746, 190800, 139449, 7265, 4151, 874, 54260, 3111, 23405, 4, 36324, 1285, 6, 148346, 26612, 119718, 15533, 1211, 4, 7265, 159696, 1644, 107581, 1285, 163139, 2702, 5666, 95494, 23741, 37826, 130170, 8903, 234221, 1285, 101251, 190386, 4113, 4944, 16580, 2882, 3120, 64260, 4151, 192183, 16803, 55049, 42180, 4, 6, 234221, 7243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 75230, 2702, 6319, 54260, 1211, 46050, 46545, 2200, 36324, 1285, 506, 92290, 506, 6, 80453, 176336, 37826, 70845, 4, 112216, 48775, 119718, 84577, 1211, 6, 4, 3373, 109636, 42180, 1644, 4151, 119718, 33716, 77188, 3120, 35189, 17190, 148346, 16870, 123329, 6, 159696, 21295, 6428, 99766, 2190, 198093, 4, 6, 238144, 1644, 22753, 37826, 70845, 1470, 75230, 2702, 35189, 119718, 710, 21295, 6, 4, 165592, 7369, 170479, 6, 23173, 54260, 5666, 148346, 25207, 183216, 10676, 46711, 183718, 26394, 152848, 198093, 6, 100863, 2205, 1285, 17824, 65482, 64213, 69355, 7369, 2648, 152185, 4151, 46590, 17310, 5, 36324, 75230, 37826, 8947, 6235, 234221, 7265, 70845, 5, 6, 150839, 64260, 6235, 138194, 205131, 2200, 6235, 25207, 4944, 13497, 4, 119055, 10705, 7508, 26, 68313, 6235, 240863, 12483, 2200, 74806, 57277, 49008, 6, 4, 37826, 148346, 26612, 25391, 710, 148346, 1211, 6, 68558, 4838, 85346, 112216, 22426, 9221, 7265, 10184, 40505, 1211, 4, 42122, 850, 4, 9424, 39083, 1211, 4, 6, 21106, 23269, 148346, 48775, 98071, 36326, 177157, 148346, 39083, 1211, 5, 220224, 1211, 6, 148346, 2442, 75230, 1211, 41764, 12130, 4, 95455, 41764, 12130, 3120, 4838, 6, 96302, 15907, 4, 199145, 37321, 97634, 2865, 59929, 6, 212915, 68313, 110573, 12666, 18553, 29659, 37729, 92500, 103854, 203013, 4, 37826, 6, 148346, 26612, 104378, 10676, 163139, 30473, 171433, 53414, 92500, 56170, 148346, 21292, 65482, 2050, 1470, 75230, 92904, 43082, 3120, 4838, 67882, 142170, 5, 220224, 23269, 63259, 13159, 1211, 151614, 148346, 1211, 7746, 8903, 13982, 54260, 2882, 1470, 75230, 2702, 31249, 21292, 44779, 2200, 7265, 4838, 111025, 69859, 123329, 1470, 54260, 13497, 29771, 29171, 54260, 2882, 4838, 68550, 35189, 56170, 506, 13845, 2882, 207591, 3120, 137, 22426, 710, 2004, 6, 64260, 4151, 56170, 8300, 238144, 21066, 16932, 6, 148346, 15529, 4944, 8300, 39083, 3120, 159696, 1644, 104238, 1285, 24012, 35189, 125897, 6235, 7511, 21106, 131044, 3120, 1470, 54260, 119132, 4838, 6319, 137377, 25207, 30741, 6093, 6, 170355, 4944, 23173, 710, 59929, 6, 94741, 25603, 37826, 1470, 54260, 5666, 2865, 39083, 1470, 75230, 2702, 8903, 25207, 4944, 13497, 6, 148346, 8580, 9424, 119718, 710, 364, 88917, 77188, 54745, 4, 10918, 2865, 21106, 128540, 5, 56170, 29659, 54260, 2882, 7746, 4, 36324, 95455, 3056, 6, 148346, 1644, 75230, 4852, 6235, 159696, 1211, 4838, 6, 150349, 99766, 170355, 4667, 4, 6, 238144, 1644, 9424, 119718, 710, 16175, 75230, 4852, 13497, 212837, 52480, 21106, 128540, 119055, 39083, 28320, 6, 172060, 185226, 36324, 75230, 6, 238144, 29171, 1470, 75230, 2702, 8903, 36326, 22426, 2882, 1285, 4151, 23269, 216510, 17310, 114349, 43178, 28726, 4944, 4484, 54260, 28320, 3069, 10676, 101251, 35189, 23847, 54260, 4944, 148346, 23173, 1211, 163139, 9424, 238144, 364, 88917, 77188, 4, 36324, 75230, 36324, 1285, 9424, 39083, 178748, 28726, 4944, 4484, 54260, 28320, 3056, 4151, 144754, 2808, 54260, 105405, 44779, 220273, 219947, 56170, 117397, 77188, 6235, 119718, 29766, 1211, 5, 76961, 151614, 148346, 1211, 1470, 75230, 2702, 8903, 144754, 1211, 20315, 2050, 56170, 22426, 54260, 29171, 28320, 8248, 104238, 4, 6, 238144, 1644, 1470, 75230, 148346, 37922, 72321, 3056, 6, 23173, 54260, 23405, 73381, 21106, 1211, 3069, 70845, 95766, 1285, 364, 35596, 6, 23173, 8580, 4, 37826, 7369, 6235, 192575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1470, 75230, 51437, 53414, 6, 75322, 148346, 15096, 7265, 119055, 6093, 16932, 4, 119718, 120467, 3056, 1470, 75230, 46053, 6235, 159696, 1211, 3069, 6, 159696, 15388, 220224, 1211, 12065, 101296, 59461, 37922, 7916, 47526, 37016, 54260, 2882, 56170, 4151, 46244, 22426, 506, 236512, 31467, 4151, 56170, 10705, 18553, 54260, 29171, 17310, 3120, 115556, 28726, 12984, 4269, 54260, 16803, 37729, 4151, 185758, 48775, 10918, 232187, 63849, 75230, 2882, 3120, 6, 64260, 20315, 2050, 874, 34533, 65689, 56170, 506, 13845, 2882, 161829, 5, 1285, 80839, 40920, 212484, 7682, 54260, 2882, 3120, 1470, 54260, 148346, 7682, 110573, 21066, 12483, 10676, 1285, 75322, 4113, 16932, 7265, 137, 22426, 710, 2004, 110573, 10069, 3069, 8903, 7916, 49008, 10676, 4838, 144532, 119132, 4, 292, 3120, 6319, 119718, 93704, 2442, 40096, 9213, 148346, 53414, 167048, 21106, 4, 10676, 14004, 5927, 186955, 3120, 30109, 54260, 4852, 4, 292, 37826, 6, 112294, 6235, 159696, 1211, 6, 148346, 54260, 2050, 116486, 73486, 29766, 95455, 23173, 54260, 5666, 7201, 21106, 1211, 2205, 73995, 850, 4, 21422, 1285, 115556, 506, 54260, 2882, 37826, 564, 29659, 6, 75322, 39083, 3120, 23173, 15949, 24621, 20315, 46053, 6, 68558, 6, 148346, 15533, 364, 54260, 13497, 3069, 1751, 159696, 2442, 6, 139449, 10676, 64769, 8580, 2200, 21422, 64260, 1285, 657, 48350, 17310, 3056, 7243, 6, 75322, 39083, 10339, 129071, 13456, 1285, 193042, 24621, 41764, 134193, 80885, 5, 199145, 4, 2865, 26, 4852, 39083, 7243, 192183, 12483, 21776, 20911, 42733, 31623, 52541, 1285, 30109, 54260, 59094, 710, 142170, 2200, 1470, 75230, 4667, 7243, 192183, 12483, 2808, 75230, 2702, 148346, 54260, 15388, 177274, 34076, 54260, 107581, 3944, 142170, 3069, 4838, 30109, 54260, 4852, 705, 16175, 54260, 1644, 2865, 39083, 37826, 7746, 112216, 48775, 119718, 84577, 1211, 1470, 75230, 2702, 8903, 29257, 40920, 4, 36324, 7508, 26, 68313, 6, 113889, 35596, 3069, 6, 47351, 6, 84577, 22426, 1644, 37016, 17310, 5, 874, 26, 506, 64260, 24390, 123736, 23741, 145813, 29060, 2205, 123736, 119718, 13497, 6235, 104149, 22753, 64213, 6, 148346, 54260, 220224, 1211, 6, 147502, 2205, 163139, 119364, 92500, 620, 91595, 148346, 21106, 75230, 40920, 65482, 2050, 8947, 4852, 21106, 5, 7369, 37826, 230764, 4151, 6, 84577, 148346, 1644, 75230, 4852, 16932, 22426, 1644, 174121, 4838, 159696, 4484, 195054, 54260, 98833, 4838, 67826, 21733, 10339, 142429, 46598, 2205, 4151, 160238, 2050, 3120, 4838, 25616, 54260, 4852, 2200, 7369, 37826, 8947, 162726, 905, 34709, 17310, 4, 7265, 4838, 4151, 22680, 54260, 16932, 874, 71512, 98252, 710, 4151, 874, 174121, 2865, 40096, 152185, 9424, 54260, 12984, 56170, 10676, 56170, 506, 13845, 2882, 161829, 3120, 10676, 1285, 75322, 4113, 16932, 3120, 30109, 54260, 4852, 3069, 4151, 41764, 89184, 59919, 17645, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 151525, 2808, 75230, 2702, 8903, 21847, 54260, 40920, 5, 4151, 113889, 4667, 37826, 7369, 292, 4838, 1751, 159696, 2442, 132025, 8903, 3131, 22426, 23173, 16932, 292, 119718, 710, 35189, 6, 139449, 6, 68566, 148346, 1644, 12483, 7746, 4838, 56170, 181692, 506, 16932, 5, 4151, 364, 75230, 22680, 40096, 46654, 35596, 24390, 6, 148346, 54260, 4838, 6235, 147713, 5927, 54260, 2882, 3069, 506, 13845, 33225, 6, 148346, 54260, 4151, 1751, 159696, 2442, 6093, 46440, 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 ]
[ 4, 37826, 14004, 1982, 6, 148346, 104383, 6235, 29659, 23173, 20911, 2205, 220224, 1211, 5332, 47063, 9134, 5, 1470, 75230, 4667, 3069, 364, 183718, 6319, 59929, 205416, 22426, 1211, 506, 64260, 7746, 1470, 54260, 5666, 2865, 39083, 6235, 159696, 16747, 2882, 4151, 657, 54260, 2648, 213952, 6093, 7265, 220224, 1211, 6, 148346, 21106, 710, 148346, 16932, 4113, 2932, 18630, 210404, 2819, 8947, 3056, 74806, 12483, 1470, 54260, 5666, 2865, 39083, 2200, 6, 113889, 4944, 75322, 39083, 4, 163139, 1644, 7508, 26, 506, 64260, 4852, 18167, 81444, 132025, 8903, 29659, 75230, 46053, 230764, 4838, 4667, 32054, 54260, 16747, 44779, 56170, 105235, 16747, 161829, 4, 230764, 8903, 46590, 4, 199145, 37826, 7746, 190800, 139449, 159308, 192556, 3120, 30109, 54260, 4852, 5, 9747, 20315, 2050, 4231, 17310, 5666, 212915, 19302, 29766, 160238, 13342, 128540, 1285, 56170, 8300, 238144, 21066, 17310, 137, 22426, 710, 2004, 37826, 6093, 70845, 6235, 119718, 15533, 1211, 4838, 151614, 93509, 23173, 55823, 9424, 54260, 4944, 43178, 17310, 4, 119055, 10705, 3373, 26, 68313, 187667, 220224, 6093, 17824, 75230, 101608, 9719, 6235, 159696, 1211, 6, 23173, 54260, 23405, 174798, 710, 148346, 1211, 4838, 25616, 54260, 59094, 710, 142170, 9424, 119718, 65689, 9424, 238144, 117902, 186461, 239162, 1211, 2004, 6, 47351, 23173, 54260, 23405, 174798, 710, 148346, 65482, 2050, 2200, 4838, 4838, 144532, 8903, 25391, 710, 148346, 65482, 2050, 5, 1285, 9424, 39083, 41764, 31623, 44779, 89979, 28320, 95766, 6235, 159696, 1211, 215031, 17824, 75230, 36419, 4, 36324, 1285, 4151, 5666, 216510, 17310, 3056, 6235, 159696, 1211, 1285, 193042, 24621, 190386, 4113, 4944, 80885, 5, 123736, 148346, 6093, 1285, 21776, 29659, 4, 1285, 46050, 2865, 17310, 6, 4, 119055, 13845, 107581, 37826, 7746, 230764, 6, 47351, 4113, 16932, 13456, 2932, 54260, 175483, 1211, 185527, 7243, 6235, 212484, 2882, 6, 48775, 10918, 232187, 1644, 15533, 52541, 37729, 4151, 1470, 75230, 2050, 4113, 8903, 31581, 31467, 33104, 16932, 4838, 144532, 21733, 75322, 6093, 17310, 4, 95455, 6, 4, 37826, 116486, 73486, 29766, 6, 148346, 23173, 26612, 119718, 84577, 6235, 225975, 2882, 4, 3056, 137, 22426, 710, 155, 711, 364, 183718, 6319, 59929, 205416, 22426, 37826, 7746, 6, 4, 6, 148346, 54260, 220224, 1211, 4269, 48904, 89930, 1470, 75230, 2050, 23269, 46685, 710, 38596, 15907, 4, 6, 23173, 75230, 36419, 119718, 15533, 1211, 163139, 29171, 6093, 37922, 7916, 16747, 44779, 230764, 137, 22426, 2004, 6, 75230, 112216, 710, 48775, 119718, 84577, 5, 7369, 37826, 2181, 132025, 8903, 225164, 657, 31623, 9134, 4, 37826, 6235, 21660, 506, 2882, 27702, 48775, 119718, 84577, 1211, 6093, 170479, 7746, 7243, 3069, 46590, 190800, 101470, 7265, 7508, 6093, 46440, 2205, 3496, 71577, 4113, 44779, 5, 6093, 37826, 6, 238197, 6, 159696, 15388, 1285, 119055, 141943, 172060, 185226, 1211, 6, 4, 199145, 6, 212484, 1211, 7746, 7243, 1470, 75230, 2702, 42180, 1211, 2200, 3120, 119055, 13845, 107581, 4151, 30109, 54260, 4852, 6, 148346, 26612, 29659, 54260, 2882, 132025, 8903, 506, 75230, 148346, 1211, 3120, 220224, 1211, 7243, 7201, 23173, 48904, 65482, 2050, 132025, 506, 54260, 148346, 6, 148346, 15533, 220224, 1211, 7243, 7201, 23173, 48904, 65482, 2050, 77208, 3120, 4151, 43649, 39083, 89930, 48277, 48904, 4944, 39083, 17645, 4, 199145, 657, 176727 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2205, 4151, 1470, 54260, 148346, 7682, 54260, 2882, 6, 4, 119055, 13845, 107581, 1751, 186145, 148346, 2882, 72631, 7682, 3069, 7746, 6, 21106, 54260, 1211, 6, 68558, 69529, 6, 120749, 17310, 2702, 2648, 75230, 6093, 5, 7369, 37826, 6, 238197, 7265, 215031, 25207, 7972, 46677, 168155, 6, 195054, 59929, 20260, 54260, 2882, 4, 36324, 95455, 37826, 230764, 4838, 67826, 21733, 9424, 54260, 2882, 6235, 506, 40096, 26612, 27702, 15529, 98071, 4484, 213952, 4113, 163139, 24152, 17310, 1470, 75230, 33225, 116486, 73486, 29766, 5, 64567, 1982, 4, 37826, 23050, 2882, 1470, 54260, 1211, 112216, 10918, 35596, 3120, 4151, 6, 48904, 29659, 186955, 6, 4, 199145, 506, 64260, 6, 195054, 161577, 4151, 7201, 23173, 4, 6, 238144, 1644, 7508, 26, 506, 64260, 7243, 6235, 17268, 49008, 6, 148346, 54260, 4151, 3944, 40920, 710, 10184, 40505, 7265, 4838, 3373, 4667, 5332, 38249, 292, 84087, 37016, 5, 120467, 2865, 59929, 6, 212915, 4, 4151, 9424, 75230, 148346, 139365, 23173, 2932, 87, 5, 132, 48105, 2485, 304, 97634, 2865, 59929, 6, 212915, 28726, 148346, 188301, 6093, 28415, 506, 54260, 2882, 6319, 54260, 1211, 56170, 105235, 16747, 161829, 236512, 31467, 220224, 1211, 6, 69096, 101608, 1470, 88945, 4113, 4, 56170, 23822, 75230, 2882, 7746, 56170, 364, 183718, 6319, 59929, 205416, 22426, 1211, 5, 7508, 26, 506, 64260, 8947, 6235, 506, 40096, 3069, 7201, 23173, 94741, 20260, 12483, 220224, 1211, 6, 76776, 29631, 5, 6, 47351, 6, 75322, 39083, 123329, 3373, 50931, 22426, 205416, 3120, 6, 47351, 5332, 34575, 54260, 4944, 152185, 116486, 119718, 710, 69106, 4, 1751, 75230, 1211, 6, 47351, 895, 16932, 6093, 115556, 7265, 6, 238144, 36419, 119055, 171433, 46053, 6, 4, 144754, 4838, 364, 92605, 1211, 113889, 4852, 2200, 6, 148346, 1644, 75230, 4113, 1470, 75230, 15388, 4, 37826, 7746, 4838, 144532, 8903, 226112, 15388, 7265, 4838, 6, 105780, 183718, 710, 13845, 204403, 69181, 65689, 162726, 47351, 5, 7369, 37826, 70845, 1470, 75230, 111137, 25391, 710, 148346, 1211, 6, 78683, 186461, 48775, 7916, 3131, 2200, 10069, 6, 84577, 3131, 54260, 2648, 65482, 6, 128540, 130170, 8903, 3131, 226112, 12984, 7265, 4838, 41764, 141943, 59094, 3131, 65848, 4667, 3120, 36419, 22426, 710, 92605, 39083, 9221, 5, 6235, 506, 183512, 21295, 37826, 7746, 81444, 6, 159696, 15388, 10676, 4, 36324, 148932, 9424, 54260, 2882, 17310, 44478, 6093, 170479, 6, 101470, 230764, 7746, 10676, 74388, 3069, 13342, 128540, 1112, 4269, 48775, 2050, 186955, 9424, 54260, 2882, 17310, 150349, 71577, 9221, 4838, 97634, 2932, 5, 6, 23173, 54260, 13497, 90848, 15388, 170479, 7369, 8947, 4231, 53414, 101497, 5, 95766, 6, 86138, 3120, 4231, 29766, 119055, 29060, 95455, 132025, 186145, 33225, 616, 8557, 4269, 48775, 2050, 4, 2205, 9424, 119718, 48904, 10918, 16580, 29766, 7243, 6, 238144, 29171, 6093, 163139, 6, 103064, 21374, 1644, 29771, 5, 1470, 75230, 148346, 874, 26, 4852, 39083, 21776, 4944, 171428, 4838, 21374, 1644, 29771, 3069, 1549, 45521, 110317, 4, 119055, 29060, 8947, 151614, 148346, 1211, 4838, 119055, 77188, 3120, 10149, 6428, 54260, 153222, 67882, 24152, 2200, 1496, 17645, 110317, 5, 6, 105780, 6293, 6, 123559, 68558, 4838, 148346, 239162, 198093, 292, 36324, 75230, 3056, 6, 238144, 16932, 74806, 57277, 49008, 2205, 24621, 2865, 29766 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 183512, 14088, 292, 6, 159696, 67873, 4, 364, 54260, 16803, 8947, 6, 4, 2205, 6, 86138, 3120, 387, 4231, 29766, 6, 23173, 54260, 13497, 90848, 15388, 95766, 9424, 54260, 2882, 17310, 150349, 71577, 9221, 1285, 101251, 8903, 506, 54260, 123073, 45495, 24621, 3120, 6, 103064, 6, 123559, 68558, 67882, 24152, 5, 4151, 69355, 6428, 23173, 33225, 220224, 98252, 84316, 15388, 9424, 238144, 29434, 710, 21338, 1470, 75230, 33225, 6, 238144, 16932, 103023, 1211, 4838, 148346, 171433, 52541, 21422, 2882, 129891, 1054, 120467, 119055, 29060, 4838, 75230, 4838, 69452, 1054, 53414, 6, 148346, 15350, 123329, 2190, 4151, 7201, 23173, 10069, 21776, 29659, 4, 4838, 29434, 710, 21338, 6, 4, 6, 148346, 102562, 4838, 34479, 6, 123559, 68558, 4, 170479, 3523, 54260, 1211, 230764, 18133, 2865, 48904, 15907, 23173, 21660, 159696, 38249, 4, 230764, 6, 105780, 183718, 52541, 10339, 39083, 152194, 52480, 192956, 657, 109226, 2702, 208048, 205416, 710, 13159, 4, 230764, 10705, 194734, 29025, 29260, 15231, 64213, 56170, 141847, 18415, 6, 57277, 28726, 198093, 2200, 36324, 75230, 6, 238144, 16932, 5, 4151, 162726, 47351, 3056, 8903, 159696, 1211, 1470, 75230, 2702, 8903, 23173, 148346, 29060, 4838, 46590, 905, 230764, 36324, 75230, 6, 238144, 2882, 4, 36324, 3373, 26, 68313, 6235, 159696, 1211, 160238, 190135, 9424, 54260, 166664, 184855, 4838, 56052, 6, 195164, 96256, 171127, 15529, 96302, 4, 7265, 119055, 13845, 12984, 874, 26, 4852, 39083, 4852, 18167, 6, 148346, 48904, 34365, 1211, 6, 148346, 54260, 2050, 120202, 95494, 64213, 10676, 119055, 77188, 3120, 10676, 132025, 8903, 144581, 148346, 65482, 2050, 10339, 71577, 85310, 53414, 101497, 5, 3373, 26, 68313, 1470, 75230, 4667, 6235, 159696, 1211, 132025, 2932, 21660, 54260, 4944, 13497, 1285, 6235, 192956, 2442, 18415, 160238, 146079, 23173, 1211, 4, 159696, 1644, 107581, 119055, 53414, 6, 23173, 75230, 2702, 8903, 8903, 148346, 1211, 56170, 6, 92605, 119718, 15907, 48904, 42180, 5, 6, 21106, 7611, 3056, 6235, 159696, 1211, 6, 148346, 23173, 91595, 93449, 2200, 6, 87311, 15231, 119718, 54196, 3120, 76961, 220224, 28320, 5, 95455, 101251, 148346, 23173, 4113, 30741, 18415, 56170, 3131, 159696, 16747, 1211, 2200, 4838, 6, 124470, 1644, 193178, 3120, 9424, 54260, 2882, 17310, 150349, 71577, 9221, 4, 5332, 13845, 107581, 7243, 2808, 75230, 111137, 21733, 6093, 18415, 115374, 119055, 23173, 33225, 2205, 119055, 59929, 6093, 2200, 2205, 564, 54260, 6093, 4, 3056, 4838, 7201, 23173, 2442, 40096, 6, 148346, 3111, 8903, 178766, 4113, 6, 159696, 119425, 6093, 4, 6, 148346, 3111, 8903, 178766, 10339, 39083, 13805, 119718, 54196, 95494, 16803, 5, 3131, 75230, 49008, 112216, 22426, 9221, 4, 145813, 29766, 1211, 112216, 22426, 9221, 364, 54260, 16803, 145813, 29766, 1211, 6, 26394, 139962, 97634, 6293, 119055, 13845, 35189, 4, 115374, 101296, 16932, 710, 21106, 4, 199145, 119055, 77188, 56170, 3111, 56169, 6, 148346, 54260, 2050, 3496, 23173, 72631, 6, 26394, 119425, 6093, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 138808, 3131, 97634, 4667, 2200, 112216, 22426, 9221, 4, 7243, 6, 238144, 29171, 6093, 115374, 101296, 16932, 710, 21106, 2200, 6319, 71577, 15907, 21106, 5, 212053, 4151, 119055, 77188, 3120, 6, 186955, 1211, 9424, 54260, 2882, 17310, 2702, 7201, 71577, 9221, 6319, 68558, 3944, 40920, 91163, 7201, 26612, 4667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 56170, 2882, 137377, 21295, 119055, 53414, 4, 119055, 12483, 874, 26, 23173, 148346, 29060, 8947, 9213, 148346, 6093, 230764, 10339, 92605, 22426, 71577, 9221, 2200, 230764, 6319, 99766, 1211, 4, 6, 238367, 6319, 68558, 8947, 119055, 53414, 4838, 119055, 29771, 2932, 123329, 163139, 33716, 95494, 23741, 192956, 2442, 10339, 129071, 29766, 4, 4838, 21292, 41731, 3120, 46855, 72158, 152185, 2200, 43649, 64260, 152185, 6, 148346, 26612, 29659, 54260, 6093, 17310, 92500, 119055, 29060, 36324, 75230, 4838, 68550, 56170, 1644, 54260, 40920, 53414, 1285, 9424, 54260, 2882, 17310, 35044, 48350, 6093, 10676, 6, 166617, 69355, 1285, 43649, 54260, 53414, 5, 6, 148346, 4484, 87096, 4, 4151, 162726, 47351, 3056, 6235, 159696, 1211, 72577, 6, 4, 2007, 64260, 1470, 54260, 105405, 44779, 70845, 7243, 6235, 88660, 13497, 220273, 219947, 160238, 119718, 23173, 33225, 5, 1470, 75230, 148346, 3373, 26, 68313, 4151, 8580, 6235, 147713, 1211, 5332, 22426, 13159, 2190, 7758, 54260, 2865, 44779, 238115, 148346, 21338, 10069, 13805, 4, 6, 105780, 82576, 15231, 22426, 32572, 12415, 13805, 292, 3056, 13159, 133190, 6235, 159696, 1211, 236512, 31467, 10676, 1470, 75230, 82576, 1644, 65689, 10339, 208048, 2882, 78653, 4, 7265, 119055, 13845, 12984, 4151, 75322, 39083, 123329, 6319, 171127, 44478, 37826, 7746, 6, 23173, 54260, 5666, 8903, 212484, 2882, 2200, 6, 23173, 54260, 23405, 29060, 68558, 2205, 64260, 35189, 5332, 88660, 113889, 2865, 152185, 1470, 88945, 4113, 5, 16175, 32097, 2808, 127684, 44779, 37826, 7369, 8947, 4, 6, 71577, 12130, 6, 4, 6, 139449, 36324, 75230, 163139, 20260, 7369, 16667, 2882, 4, 36324, 7508, 26, 506, 64260, 4838, 46590, 905, 7243, 6235, 101296, 40920, 10676, 7972, 40920, 119364, 6, 80453, 33809, 119718, 3069, 56170, 119718, 710, 24152, 28726, 12984, 220224, 1211, 162726, 47351, 27, 364, 183718, 6319, 59929, 205416, 22426, 37826, 4484, 68550, 3069, 8903, 3131, 218241, 21295, 159308, 6319, 137377, 2200, 7746, 3069, 8903, 506, 77188, 3069, 10676, 115556, 4, 119718, 120467, 37826, 7265, 6, 26394, 87637, 56169, 148346, 26612, 21066, 710, 21847, 18415, 119055, 6093, 16932, 116486, 22426, 26612, 2932, 54196, 56170, 70845, 109995, 4151, 1644, 54260, 4852, 213952, 4113, 1470, 88945, 4113, 5, 4151, 148346, 54260, 37826, 7369, 6, 23173, 23174, 4113, 236376, 7746, 2205, 20315, 2050, 6, 148346, 15907, 15096, 2200, 163139, 35189, 119718, 159993, 4, 199145, 151614, 148346, 1211, 70845, 7243, 6235, 212484, 2882, 6, 128540, 4852, 18167, 230764, 4151, 220224, 2882, 3120, 7369, 7916, 83182, 41103, 148346, 710, 4151, 3523, 23173, 152185, 6, 159696, 21295, 5, 29060, 192956, 112216, 42180, 198093, 3120, 137, 148346, 6093, 29400, 29771, 6293, 155, 151614, 148346, 1211, 6235, 204403, 24152, 29060, 7746, 7265, 13159, 59919, 84577, 29771, 2200, 151614, 148346, 1211, 7746, 6, 148346, 23173, 710, 63532, 7265, 10676, 6319, 171127, 28726, 12984, 6319, 75230, 35189, 5, 159696, 139962, 6, 12130, 6, 147502, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 6235, 98055, 2882, 230764, 220224, 6, 105780, 82576, 4, 4944, 64260, 3131, 7508, 26, 506, 64260, 6235, 234221, 6, 148346, 54260, 7746, 6, 21106, 54260, 1211, 4, 36324, 220224, 6235, 506, 53414, 3523, 54260, 2882, 3069, 1285, 6093, 2932, 80885, 5, 3373, 26, 4852, 54260, 49008, 81444, 22753, 13497, 7243, 6, 71804, 23405, 6235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 159696, 1211, 6, 48904, 15529, 109636, 64769, 21847, 192539, 4, 119718, 120467, 151614, 148346, 1211, 1470, 54260, 5666, 8903, 29766, 2648, 13497, 4838, 56052, 46440, 4, 199145, 3056, 6, 148346, 26612, 3131, 57277, 49008, 43449, 75230, 4852, 35189, 8580, 4, 36324, 148932, 132025, 2882, 54260, 1644, 23269, 46685, 170479, 4838, 22680, 4113, 2932, 160204, 564, 54260, 220224, 1211, 121649, 657, 75230, 15231, 705, 6, 54561, 2702, 134181, 501, 814, 10, 329, 6, 23738, 16406, 148, 16127, 10, 51322, 51659, 19, 4398, 98, 7508, 54260, 12, 4151, 35189, 6235, 22680, 4113, 2932, 16932, 37826, 6235, 4944, 71577, 2882, 6, 35596, 59919, 1211, 70, 1054, 22426, 22426, 6, 8766, 1353, 711, 711, 96743, 111398, 300, 18651, 4398, 653, 678, 104, 238, 334, 23389, 4231, 6, 148346, 21106, 2648, 4151, 113889, 4667, 37826, 7369, 1285, 55242, 1644, 148346, 4113, 241070, 152, 151614, 126934, 6, 75322, 39083, 6235, 104149, 10676, 16175, 54260, 119718, 1644, 2205, 4838, 6, 76776, 40920, 9719, 7611, 705, 710, 3523, 54260, 1211, 4, 6255, 151614, 1982, 7243, 6235, 39293, 12483, 10676, 3373, 54260, 119718, 1644, 2205, 4838, 6, 76776, 40920, 9719, 7611, 5, 154019, 97634, 2865, 59929, 6, 212915, 7201, 48775, 8903, 6, 190135, 9424, 238144, 28320, 2200, 36324, 75230, 2205, 8947, 6235, 240863, 12483, 110573, 92904, 2205, 35189, 7508, 54260, 5, 95455, 3056, 6235, 159696, 1211, 22518, 37016, 44779, 5, 123736, 148346, 6093, 10676, 123736, 25207, 51723, 364, 183718, 5, 78683, 16803, 29766, 22426, 3056, 6235, 159696, 1211, 125523, 7369, 61397, 3069, 13342, 98055, 1211, 4, 163139, 874, 26, 506, 64260, 2205, 4151, 2932, 48904, 89930, 6, 48904, 29659, 186955, 6235, 234221, 2205, 1470, 54260, 1211, 1470, 75230, 35044, 54260, 15388, 112216, 21087, 183718, 4, 4838, 4269, 48904, 64213, 97634, 2932, 5, 1285, 657, 54260, 2648, 5666, 95494, 23741, 3069, 4151, 81444, 4852, 123329, 9424, 79238, 23822, 54260, 33809, 23405, 3056, 158628, 16667, 148346, 26612, 7201, 21106, 1211, 10676, 71107, 36324, 75230, 1751, 57277, 24152, 4, 36324, 22753, 37826, 21934, 6235, 101296, 40920, 3120, 4151, 48904, 29659, 186955, 6, 56052, 74127, 8903, 448, 506, 75230, 4852, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 7746, 125523, 28415, 8903, 88660, 13497, 4151, 25391, 37016, 1211, 4151, 7201, 23173, 4838, 54260, 5666, 39293, 188301, 4, 36324, 7369, 6, 21106, 54260, 1211, 119055, 77188, 4838, 101146, 31467, 1211, 292, 2200, 23165, 95455, 1751, 57277, 24152, 80885, 292, 3120, 4151, 5332, 22426, 88945, 192494, 5, 112294, 6235, 159696, 1211, 37826, 95455, 70845, 4151, 895, 59919, 22426, 59929, 710, 183718, 12, 4231, 65482, 160238, 2050, 4, 6, 148346, 14236, 5, 159696, 1644, 104238, 874, 26, 1644, 54260, 98833, 1470, 75230, 2702, 1285, 6319, 99766, 1211, 3069, 29434, 54260, 2205, 29434, 710, 24377, 19063, 2205, 4151, 113889, 4667, 2648, 87442, 18225, 9424, 238144, 6319, 99766, 1211, 4, 199145, 6, 186145, 33225, 6, 68558, 3069, 235210, 12483, 895, 6293, 2200, 1470, 75230, 4667, 29434, 54260, 7916, 40505, 1211, 4, 1470, 75230, 148346, 220224, 6, 148346, 1644, 54260, 148346, 1211, 123736, 33225, 6, 4, 6, 148346, 8580, 1285, 46440, 6, 188301, 2882, 7746, 4, 1470, 75230, 148346, 95455, 2865, 59094, 4269, 54260, 2882, 5, 874, 26, 119718, 39083, 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 ]
[ 6319, 54260, 5666, 2865, 39083, 7243, 6235, 88660, 13497, 34076, 75230, 148346, 1211, 4, 36324, 3120, 215031, 41764, 40714, 16932, 89835, 2808, 170479, 18225, 192183, 12483, 119055, 53414, 36324, 75230, 6, 89930, 54260, 56169, 2200, 56170, 171665, 710, 194694, 5, 37640, 16747, 119273, 159696, 15388, 37826, 364, 183718, 6319, 59929, 205416, 22426, 4, 34076, 54260, 4667, 163139, 76961, 221895, 4, 1470, 75230, 2702, 8903, 80453, 33809, 119718, 2882, 1285, 81444, 4852, 125897, 178748, 28726, 4944, 4484, 54260, 2882, 5, 7369, 37826, 8947, 6235, 97634, 1211, 7265, 6, 105780, 82576, 13342, 235210, 141847, 21660, 75230, 2932, 65482, 6, 148346, 25207, 51723, 4, 6, 238144, 1644, 1285, 22753, 16747, 6, 148346, 189623, 98833, 6319, 54260, 5666, 2865, 39083, 7243, 6319, 54260, 1211, 22680, 54260, 2648, 5, 7369, 3056, 4838, 15529, 194734, 95064, 7201, 21106, 1211, 130170, 4151, 6319, 71577, 162642, 59461, 67826, 2865, 17310, 69355, 6319, 99766, 1211, 3131, 2648, 4, 3373, 26, 506, 64260, 70845, 56170, 7916, 33716, 95455, 10339, 84577, 59929, 147502, 4852, 15435, 148346, 54260, 2882, 213952, 63593, 59094, 4, 199145, 16175, 54260, 1644, 2865, 39083, 37826, 8947, 7265, 3944, 40920, 133671, 34076, 7682, 3120, 193042, 24621, 132025, 87637, 148346, 47833, 8903, 212484, 2882, 1470, 75230, 35044, 54260, 15388, 1285, 895, 6293, 22426, 29766, 44779, 4, 10676, 1470, 54260, 148346, 6093, 17017, 171665, 506, 145146, 36324, 75230, 6, 5, 165592, 3373, 26, 68313, 1751, 75230, 1211, 7243, 6235, 159696, 1211, 199145, 3069, 46440, 1211, 125523, 1470, 54260, 35189, 7508, 26, 506, 64260, 2808, 75230, 2702, 195054, 54260, 98833, 1285, 6319, 99766, 1211, 73784, 29434, 161577, 874, 39083, 15, 47351, 4838, 75230, 1644, 123329, 6, 150214, 2884, 4, 199145, 506, 64260, 6, 124470, 710, 171665, 6293, 6, 61397, 54260, 56169, 1285, 6, 59461, 119718, 1211, 3069, 3523, 54260, 46598, 6, 80453, 33809, 119718, 194, 6, 47351, 6, 183512, 93497, 874, 39083, 68313, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 178748, 28726, 4944, 4484, 54260, 2882, 73784, 54745, 38249, 6, 148346, 15533, 3069, 4151, 3523, 54260, 13497, 6093, 2200, 1644, 21660, 16932, 73095, 144295, 4, 84475, 4151, 110573, 12666, 18553, 29659, 1751, 75230, 1211, 162926, 6093, 7369, 7201, 39083, 2932, 3056, 95766, 4151, 141879, 2442, 238419, 56170, 506, 129071, 6235, 119718, 29766, 1211, 5, 7369, 37826, 6, 195054, 54260, 98833, 112216, 21087, 183718, 2190, 107182, 14088, 2200, 2205, 76961, 9424, 54260, 28320, 3120, 166464, 4, 6, 148346, 54260, 76776, 40920, 130170, 1211, 32054, 54260, 12483, 87637, 17017, 4, 22639, 35189, 94626, 2205, 4151, 6, 148346, 1644, 75230, 168155, 41764, 15533, 95494, 24621, 4, 6, 148346, 54260, 7265, 29771, 2932, 2200, 4838, 46590, 905, 95766, 82563, 2050, 5, 8947, 37826, 70845, 6235, 23847, 75230, 21295, 4, 123736, 148346, 6093, 7508, 26, 506, 64260, 8947, 6235, 97634, 1211, 5, 36324, 75230, 4838, 68550, 506, 64260, 70845, 6235, 4944, 71577, 2882, 4151, 148346, 54260, 6, 75322, 39083, 6, 148346, 54260, 4838, 6, 148346, 165592, 31212, 58573, 63593, 148346, 12415, 7511, 4, 70845, 137, 8903, 5, 29659, 77188, 2004, 163139, 95455, 3056, 1751, 75230, 1211, 6235, 159696, 1211, 220224, 1211, 6, 189098, 17645, 3120, 43649, 188301, 6, 68558, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51497, 155, 18, 39450, 36079, 13, 292, 37826, 7369, 6235, 225975, 2882, 5, 292, 11265, 657, 176727, 4838, 81455, 6319, 99766, 1211, 4, 14004, 3111, 16629, 7511, 6093, 2451, 7243, 95455, 2205, 4151, 874, 54260, 1211, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 35596, 59919, 2882, 5, 292, 6255, 6, 186461, 41764, 134193, 36324, 75230, 4, 6255, 46440, 205026, 7265, 10676, 4838, 148346, 34575, 129071, 1211, 13342, 7201, 21106, 5, 205026, 117578, 13159, 52541, 220224, 23269, 6319, 71577, 162642, 1211, 6, 4, 220224, 1211, 130170, 28726, 75290, 54260, 2200, 35189, 113889, 4667, 220224, 1211, 101251, 21847, 75230, 148346, 192956, 6, 148346, 84662, 4852, 103023, 54260, 2882, 5, 364, 54260, 13497, 22639, 35189, 94626, 4269, 32792, 6, 113889, 12984, 2808, 75230, 135469, 8580, 3056, 4151, 112216, 21087, 183718, 29434, 54260, 874, 39083, 1470, 54260, 16667, 6, 113889, 12984, 6, 183512, 53414, 1470, 75230, 2702, 130991, 34076, 40096, 7682, 6, 4, 4151, 69355, 292, 1470, 54260, 1211, 874, 39083, 2205, 9424, 238144, 7508, 54260, 4113, 4, 95455, 3056, 26612, 21776, 88660, 38054, 5, 11265, 119055, 29060, 20033, 34076, 75230, 148346, 1211, 4, 36324, 6255, 6, 186461, 182261, 1751, 75230, 1211, 1470, 75230, 2702, 13342, 2050, 9424, 238144, 92500, 13982, 54260, 150541, 119364, 874, 39083, 2200, 6, 148346, 8580, 6319, 54260, 1211, 1470, 54260, 1211, 874, 39083, 125523, 7243, 6, 130991, 6, 148346, 8580, 3069, 4151, 45223, 16803, 3120, 46440, 705, 36419, 18415, 2865, 148346, 12415, 7511, 37826, 70845, 132025, 8903, 98055, 2882, 6, 4, 163139, 95455, 10339, 147713, 2882, 74806, 12483, 2205, 6, 86138, 69355, 1285, 76961, 6, 101328, 61621, 6, 4, 7265, 46711, 75230, 6093, 125897, 2200, 1751, 119718, 23173, 26394, 1470, 75230, 15388, 5, 2451, 6, 21106, 5666, 7201, 21106, 2702, 220224, 49008, 20033, 1751, 57277, 24152, 56170, 3111, 51723, 292, 37826, 7369, 6235, 225975, 2882, 5, 292, 3496, 26, 39293, 7243, 3496, 26, 4852, 39083, 81444, 6235, 17268, 49008, 4838, 81414, 16803, 56170, 874, 54260, 23269, 4852, 29766, 15388, 2200, 4838, 6, 103457, 56170, 4151, 22639, 6093, 192956, 2442, 6, 42270, 17188, 4, 199145, 41764, 45619, 20911, 9719, 4667, 5, 2451, 4838, 3373, 124470, 17188, 705, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 9213, 148346, 6093, 8903, 73418, 33716, 2200, 506, 64260, 163139, 16932, 6, 195054, 54260, 98833, 27, 2451, 1285, 6, 71804, 8903, 3120, 4151, 6, 159696, 21295, 9424, 29060, 73136, 21295, 205026, 292, 37826, 4151, 874, 59929, 68558, 4838, 22753, 211169, 6235, 97634, 1211, 5, 292, 4151, 6, 148346, 21106, 78683, 1211, 148346, 905, 50856, 119055, 29060, 3069, 29659, 183512, 104378, 14004, 54561, 16629, 7511, 6093, 4, 76961, 874, 54260, 23269, 22639, 7201, 29766, 2865, 215726, 2702, 6, 238144, 56880, 4151, 75230, 6293, 5, 207405, 6, 23173, 148346, 29060, 14856, 119221, 6, 4, 95455, 170479, 74806, 12483, 2200, 4151, 6, 124470, 31212, 3120, 4151, 224220, 148346, 24295, 215726, 68313, 6235, 159696, 16747, 2882, 196991, 4151, 5332, 34575, 54260, 4667, 2808, 17310, 23173, 152185, 874, 232187, 53171, 4113, 4, 6, 238144, 1644, 4838, 119718, 710, 71804, 23405, 163139, 22753, 119055, 77188, 7243, 9424, 89184, 148346, 1211, 6, 4, 6319, 68558, 7243, 56170, 119718, 9221, 21733, 91595, 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 ]
[ 53414, 4484, 54260, 1211, 1470, 54260, 1211, 238354, 3120, 143628, 81829, 116486, 2932, 48775, 2050, 5, 11265, 6, 148346, 26612, 23847, 54260, 23741, 874, 54260, 1211, 56170, 147713, 5927, 54260, 2882, 705, 6255, 364, 59929, 70845, 7265, 76961, 33414, 20560, 6, 4, 11265, 6, 238144, 16803, 8947, 5, 123736, 148346, 6093, 21422, 170479, 168892, 4151, 7201, 23173, 33960, 175483, 130170, 29659, 31623, 1211, 1285, 3496, 23173, 2865, 40096, 40697, 54745, 150349, 64260, 17645, 159696, 1644, 107581, 37826, 6, 148346, 140746, 4838, 159696, 4484, 13342, 1644, 54260, 15388, 4838, 22518, 29111, 7201, 92605, 1644, 2205, 178766, 4838, 121865, 97634, 25616, 40096, 152185, 1470, 54260, 90848, 109636, 32, 3120, 4151, 9424, 119718, 710, 16932, 9934, 2882, 119055, 29060, 4838, 46590, 905, 6, 148346, 1644, 75230, 4852, 4838, 14004, 57277, 7972, 161829, 152, 4838, 3069, 7201, 21106, 5, 156215, 6, 97634, 2865, 59929, 6, 212915, 8903, 147713, 13497, 192956, 1285, 22426, 1644, 29771, 2865, 40096, 40697, 3069, 235210, 43178, 23173, 148346, 29060, 9424, 119718, 65689, 874, 54260, 1211, 6, 212394, 2200, 4113, 34575, 54260, 4667, 205026, 6, 186145, 33225, 163139, 6, 47351, 101251, 171665, 61722, 5, 95455, 220224, 49008, 6235, 119718, 21292, 16667, 7201, 48775, 15388, 4, 159696, 1644, 107581, 6, 7961, 22753, 148346, 1211, 2200, 70285, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 225975, 2882, 292, 4838, 40920, 92500, 29434, 54260, 5, 6, 69596, 148346, 6093, 4, 46855, 171665, 506, 4, 6, 145146, 5, 3373, 26, 23269, 63532, 4269, 54260, 1211, 5, 11265, 9934, 35596, 168677, 103023, 4, 364, 93497, 29060, 63593, 148346, 2442, 9416, 5, 35189, 9213, 57277, 7972, 114436, 3056, 67826, 1644, 6235, 119718, 29766, 1211, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 8903, 46590, 2882, 163139, 220224, 23269, 1751, 119718, 23173, 26394, 1470, 75230, 15388, 4, 4151, 6, 148346, 105330, 3120, 83031, 2200, 5332, 15231, 38596, 54260, 2882, 6, 4, 220224, 49008, 16175, 32097, 23822, 75230, 6093, 7682, 132025, 190135, 230764, 70845, 5, 7369, 37826, 6, 148346, 17171, 1644, 148346, 17171, 125523, 4838, 6, 238144, 28726, 6, 238144, 16932, 6, 195054, 54260, 98833, 1285, 6319, 99766, 1211, 6, 4, 37826, 4151, 113889, 4667, 130170, 8903, 3131, 22426, 23173, 2882, 1285, 6, 148346, 92605, 7265, 4151, 364, 84577, 2200, 37826, 4838, 6, 98055, 6, 23173, 75230, 6293, 6235, 97634, 1211, 3069, 220224, 1211, 43649, 54260, 188301, 1211, 6, 44478, 6093, 7265, 4151, 10339, 21106, 86733, 2200, 56170, 37016, 3131, 13497, 6093, 101251, 113687, 70469, 23269, 3120, 4838, 620, 91595, 4231, 98071, 214766, 5, 2451, 1470, 54260, 123073, 1470, 75230, 15388, 292, 37826, 73095, 18415, 2865, 148346, 12415, 7511, 6235, 225975, 2882, 292, 6, 148346, 75322, 710, 12483, 7746, 10705, 112304, 34533, 3069, 56170, 148346, 29766, 15388, 10676, 10339, 129071, 36324, 11265, 6, 238144, 16803, 4, 2205, 199145, 56170, 4838, 225683, 11265, 9934, 35596, 5, 33, 1264, 21911, 572, 28549, 126, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 506, 40096, 1285, 3149, 34365, 22426, 506, 3069, 6, 35596, 59919, 1211, 2200, 73095, 18415, 2865, 148346, 12415, 7511, 3056, 4838, 159696, 4484, 5, 364, 183718, 6319, 59929, 205416, 22426, 119718, 120467, 3056, 6235, 148346, 7972, 148346, 1211, 6, 21106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 1211, 3056, 125523, 6235, 39293, 46053, 4838, 657, 141847, 123073, 9424, 54260, 2882, 6, 148346, 54260, 4852, 54260, 1211, 6, 147502, 22639, 144754, 1211, 6, 238144, 46053, 21422, 46685, 4, 37826, 28415, 7243, 6, 195054, 54260, 98833, 1285, 6319, 99766, 1211, 4, 5666, 29766, 130170, 8903, 3131, 22426, 23173, 2882, 10676, 6319, 137377, 7265, 4151, 364, 84577, 2200, 6235, 68566, 148346, 21295, 7746, 5, 6093, 3056, 6235, 159696, 1211, 16175, 32097, 1470, 75230, 111137, 3131, 75230, 35189, 2882, 236512, 31467, 10676, 1470, 75230, 82576, 1644, 65689, 2200, 25616, 905, 51723, 55522, 6, 4, 2205, 119055, 13845, 12984, 7369, 37826, 6235, 104149, 1285, 6, 159696, 21295, 74, 236512, 31467, 10676, 4074, 4944, 12483, 69355, 54745, 87311, 1211, 2200, 874, 21106, 22426, 65689, 6235, 48253, 4, 199145, 37826, 6235, 506, 6093, 29659, 9213, 148346, 6093, 4151, 159696, 21295, 364, 15350, 7201, 212484, 4, 6, 68558, 4838, 9424, 75230, 2050, 2200, 199145, 37826, 6235, 506, 54260, 46053, 12, 137, 10069, 17824, 75230, 36419, 18415, 2865, 22426, 4484, 54260, 2882, 2909, 26612, 620, 91595, 6093, 4, 4838, 204403, 78683, 7972, 22426, 2882, 152185, 6, 113889, 51723, 4, 1470, 23174, 48904, 64213, 3069, 8903, 22426, 59929, 2882, 23173, 75230, 2702, 13342, 225164, 45495, 28633, 2648, 125897, 22518, 37016, 5, 364, 183718, 6319, 59929, 205416, 22426, 3056, 6235, 39293, 46053, 2200, 506, 64260, 7746, 6235, 12415, 148346, 1211, 10676, 43649, 53414, 2200, 1285, 6, 148346, 60071, 2882, 7265, 4151, 364, 84577, 7201, 71804, 4667, 5, 6093, 37826, 874, 151461, 6235, 506, 40096, 5, 7508, 26, 506, 64260, 6235, 506, 40096, 95455, 6235, 86070, 4, 36324, 137, 2648, 120467, 21106, 7611, 155, 119055, 29060, 7746, 620, 91595, 6, 188301, 1211, 6, 4, 36324, 4151, 77208, 119055, 29060, 220224, 1211, 4838, 6319, 40096, 59929, 226112, 55823, 4, 4838, 18367, 82377, 96116, 4151, 6235, 2648, 69127, 123329, 6, 76776, 29631, 4, 4838, 18133, 59461, 1211, 2200, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 165066, 26612, 56170, 1644, 141943, 213952, 6093, 1751, 29631, 46598, 119718, 41595, 6, 4, 199145, 119055, 29060, 9213, 148346, 6093, 148346, 25207, 12984, 10676, 6, 106155, 69355, 4151, 6, 159696, 21295, 119055, 29060, 6, 23173, 75230, 49268, 54260, 46053, 95455, 17190, 148346, 1211, 3120, 137, 2882, 75230, 28320, 6, 172060, 185226, 155, 2200, 10069, 137, 10705, 8903, 24152, 21660, 54260, 2882, 155, 119055, 29060, 43649, 54260, 1211, 130170, 1211, 9424, 54260, 12984, 3120, 4838, 111025, 69859, 133671, 17953, 20616, 122623, 5, 7369, 37826, 6235, 506, 40096, 60631, 4484, 3069, 4838, 177282, 75230, 33225, 292, 20033, 151614, 148346, 1211, 2181, 16175, 75230, 1211, 35189, 8300, 54260, 21295, 5, 125523, 4838, 34076, 7682, 199145, 1285, 132025, 91163, 17310, 37826, 6235, 506, 40096, 230764, 70845, 2648, 120467, 4151, 87311, 194734, 137, 29659, 188301, 4113, 1470, 75230, 2932, 155, 199145, 22753, 3056, 6235, 159696, 1211, 4838, 138928, 1470, 75230, 4667, 4852, 54260, 1211, 874, 71512, 2200, 37826, 70845, 56170, 4852, 29766, 98833, 119490, 120202, 22680, 13456, 17310, 7265, 3523, 54260, 4113, 6, 116174, 40920, 148346, 23173, 20616, 710, 204403, 18415, 56880, 5, 144754, 4838, 6319, 29766, 22426, 29766, 215726, 126934, 2648, 35596, 65689, 160204, 37826, 4151, 364, 75230, 22680, 40096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4151, 21733, 77188, 6, 4, 36324, 7369, 3056, 6, 130991, 230764, 4151, 1470, 54260, 105405, 192956, 2442, 145813, 14303, 3120, 10069, 15857, 148346, 850, 4, 199145, 220224, 49008, 6, 112294, 215031, 2190, 36258, 39083, 710, 79950, 54260, 2882, 2205, 364, 183718, 6319, 59929, 205416, 22426, 2702, 32887, 2865, 149364, 40096, 14303, 5, 7369, 37826, 4151, 148346, 54260, 163139, 30741, 95494, 4944, 17017, 6093, 4151, 21733, 77188, 165592, 6, 64260, 10069, 15857, 148346, 850, 3056, 3944, 40920, 6, 148346, 54260, 13342, 104378, 36324, 75230, 36324, 1285, 364, 54260, 1644, 17310, 2200, 2648, 120467, 6, 147713, 111179, 24621, 4838, 506, 54260, 14857, 133671, 2205, 564, 71804, 4944, 212394, 220224, 49008, 162726, 905, 34709, 17310, 6235, 119718, 29766, 1211, 76632, 12130, 3120, 4151, 6, 113889, 216510, 6, 149364, 150349, 87442, 710, 119718, 5, 10676, 4231, 17310, 5666, 2865, 183718, 364, 23173, 1211, 37826, 8903, 21733, 71577, 2882, 364, 75230, 4667, 4, 9424, 79238, 29631, 63593, 2882, 3496, 2884, 56170, 3131, 54260, 2648, 65482, 6235, 46590, 1211, 4, 6, 148346, 14236, 7369, 6093, 37826, 1470, 75230, 2702, 8903, 29659, 2442, 87442, 1285, 364, 84577, 6, 4, 874, 26, 4852, 39083, 70845, 620, 29771, 15388, 3069, 4151, 84475, 5, 7201, 177282, 188301, 95836, 1285, 1470, 75230, 15388, 2190, 119055, 6093, 213952, 5332, 34079, 120467, 6, 148346, 32792, 6, 5, 37826, 7369, 6, 148346, 26612, 119718, 10705, 83182, 2882, 10676, 49920, 28726, 12984, 51453, 31467, 157245, 75230, 28320, 6319, 39083, 9221, 3120, 220224, 1211, 17190, 148346, 16667, 170355, 23741, 199145, 506, 64260, 43649, 54260, 2932, 213952, 132025, 8903, 43375, 2882, 95455, 19302, 29766, 4113, 7508, 6093, 1644, 5, 1285, 19302, 54260, 23269, 4, 123736, 148346, 6093, 6, 148346, 40096, 54260, 2882, 86070, 4113, 120202, 6093, 215726, 37826, 1470, 75230, 2702, 8903, 7916, 33716, 4151, 364, 75230, 22680, 40096, 4838, 79981, 2200, 3373, 151614, 148346, 1211, 35189, 148346, 54260, 4838, 21087, 40920, 54196, 124724, 6319, 90848, 88660, 119718, 20260, 710, 2200, 4838, 6, 148346, 23173, 7758, 23173, 10918, 39340, 1751, 159696, 82576, 5, 35189, 113889, 4667, 3056, 4838, 159696, 4484, 4838, 4269, 48904, 26394, 7508, 54260, 193012, 6, 4, 2205, 119055, 13845, 107581, 364, 183718, 6319, 59929, 205416, 22426, 3056, 171665, 92904, 6235, 159696, 1211, 6, 148346, 26612, 506, 6093, 29659, 3120, 4151, 10339, 48775, 8903, 6, 4, 163139, 36324, 75230, 95455, 4838, 159696, 4484, 8903, 8903, 148346, 65482, 6, 148346, 710, 35044, 6, 148346, 137119, 119055, 29060, 7746, 6, 4, 1470, 75230, 101608, 70845, 4, 1470, 75230, 7201, 23982, 1211, 130170, 4151, 506, 3131, 2932, 32184, 3120, 4151, 163139, 2702, 5666, 95494, 23741, 5, 5666, 40096, 9221, 44779, 37826, 8947, 7746, 125523, 220273, 219947, 132025, 139449, 292, 37826, 8903, 225975, 2882, 22639, 171433, 506, 54260, 148346, 4151, 364, 75230, 22680, 40096, 5, 3373, 26, 506, 64260, 657, 54260, 35189, 4, 7746, 125523, 220273, 219947, 6235, 119718, 39083, 2882, 132025, 101470, 4, 37826, 7369, 1751, 109636, 16932, 6235, 134727, 2882, 5, 123736, 148346, 6093, 77208, 10813, 72507, 3056, 6, 130991, 4151, 40026, 2865, 29766, 15388, 4, 6, 148346, 14236, 7369, 3056, 6, 148346, 36326, 46533, 40026, 3131, 46545, 3069, 8903, 240863, 12483, 3069, 364, 183718, 6319, 59929, 205416, 22426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 4, 119055, 13845, 104238, 3056, 2205, 4231, 114436, 8300, 54260, 2882, 6235, 39293, 46053, 6, 148346, 54260, 2050, 72577, 1211, 22444, 46053, 147502, 6, 4, 1470, 75230, 148346, 113889, 1211, 4, 6428, 99766, 1211, 119055, 10705, 3373, 26, 68313, 6, 75322, 39083, 93657, 97634, 2865, 59929, 6, 212915, 8903, 39293, 46053, 220224, 1211, 17824, 75230, 101608, 18133, 148346, 15529, 35189, 5, 4151, 364, 75230, 22680, 40096, 37826, 70845, 6, 4, 230764, 4852, 54260, 1211, 43649, 54260, 61397, 4, 120202, 8903, 8903, 148346, 1211, 168677, 104855, 2200, 4151, 8300, 54260, 21295, 4, 36324, 230764, 1470, 54260, 1211, 6, 99766, 95766, 1470, 54260, 119132, 3120, 1285, 6, 190135, 4113, 6, 80453, 33809, 119718, 1211, 37826, 18225, 6, 68558, 69529, 73995, 55823, 16803, 190135, 3373, 186145, 22426, 97634, 88660, 38249, 5, 8947, 129165, 98833, 7746, 182261, 21422, 1285, 56170, 2932, 34533, 17310, 2702, 35189, 3131, 54260, 5666, 109226, 170479, 18225, 3069, 25391, 54260, 148346, 1211, 4151, 19302, 127684, 19767, 31467, 6093, 17494, 212484, 119718, 120467, 3056, 77208, 13845, 72507, 56170, 47351, 6, 4, 84475, 1285, 3373, 186145, 22426, 97634, 88660, 38249, 4, 199145, 6235, 7916, 49008, 4852, 18167, 1470, 75230, 4667, 133190, 2205, 4838, 6, 148346, 26612, 3131, 54260, 2648, 114436, 9424, 39083, 5, 7369, 4, 6, 148346, 6093, 172398, 4, 119055, 29060, 65146, 1211, 4852, 18167, 23050, 216510, 2200, 6, 148346, 13159, 6093, 56170, 236376, 1211, 6, 159696, 15388, 10676, 5, 1285, 6, 190135, 37016, 92605, 1211, 50931, 29631, 3056, 125523, 7243, 1470, 23174, 48904, 64213, 1470, 75230, 2702, 8903, 119718, 92605, 46053, 5, 7369, 37826, 8947, 24390, 6235, 119718, 15533, 1211, 2205, 137, 71804, 148346, 29766, 155, 12, 4838, 7508, 75230, 2882, 56170, 97594, 159696, 33716, 67826, 21733, 6, 148346, 137119, 6, 4, 95766, 119055, 13845, 12984, 3373, 26, 506, 29771, 148346, 1211, 7746, 6235, 17268, 49008, 17824, 75230, 4113, 6, 172060, 185226, 1211, 5, 95455, 220224, 49008, 6235, 159696, 1211, 1285, 6, 88660, 38249, 15, 29771, 148346, 6093, 6, 88660, 38249, 37826, 1470, 75230, 4667, 148932, 1470, 54260, 59094, 2200, 1470, 75230, 4667, 104855, 31467, 6093, 50931, 1211, 2200, 119055, 12483, 3373, 119718, 39083, 28320, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 177157, 22426, 97634, 51723, 119055, 39083, 2882, 51723, 230764, 6, 64260, 20315, 2050, 6, 148346, 710, 35044, 7243, 6235, 2648, 23173, 23741, 657, 54260, 15388, 6319, 54260, 1211, 69529, 6235, 26612, 40920, 194, 2808, 75230, 101608, 70845, 6, 4, 130170, 4151, 10372, 2932, 32184, 3120, 4151, 163139, 2702, 5666, 95494, 23741, 4, 37826, 506, 183718, 6319, 59929, 205416, 22426, 2702, 6235, 15529, 49008, 6, 148346, 710, 35044, 6, 148346, 137119, 3120, 364, 23173, 7611, 6, 21106, 7611, 110573, 92904, 6235, 119718, 9221, 20911, 5, 3373, 26, 95766, 6, 130991, 4151, 40026, 2865, 29766, 15388, 4, 119055, 12483, 6, 148346, 6093, 172398, 37826, 70845, 7265, 109995, 185527, 34654, 35465, 4838, 6, 61397, 9221, 16932, 4231, 6235, 2865, 39083, 35465, 42493, 133190, 230764, 4151, 2808, 54260, 59461, 6, 190135, 6093, 52059, 29631, 6, 4, 133190, 1470, 75230, 4667, 230764, 76961, 9213, 148346, 6093, 125897, 220224, 49008, 1751, 109636, 16932, 1751, 75230, 1211, 6, 23173, 75230, 2702, 1285, 6, 88660, 38249, 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 ]
[ 220224, 6093, 4838, 3373, 4667, 5, 874, 26, 88660, 1211, 7243, 119718, 21292, 1211, 21422, 95455, 6, 21106, 7611, 220224, 49008, 3373, 186145, 22426, 97634, 88660, 38249, 5, 123736, 148346, 6093, 3373, 26, 68313, 28415, 163139, 119718, 23173, 3131, 54260, 5666, 44779, 6, 4, 36324, 1285, 56170, 25222, 23741, 17310, 2702, 35189, 3131, 54260, 5666, 109226, 1751, 57277, 51723, 4151, 69355, 4944, 64260, 3131, 98252, 6235, 101080, 119273, 6, 4, 6319, 68558, 18225, 7243, 163139, 46053, 4, 163139, 46590, 4151, 69355, 874, 26, 4852, 39083, 13342, 25391, 54260, 148346, 1211, 1470, 75230, 33225, 60631, 148346, 2884, 3120, 4151, 19767, 31467, 6093, 17494, 212484, 199145, 3056, 6, 68558, 69529, 77562, 6235, 159696, 1211, 2200, 199145, 3056, 125523, 8009, 506, 49792, 7243, 1470, 23174, 48904, 64213, 6, 148346, 26612, 506, 6093, 29659, 5, 199145, 6, 94741, 63020, 18225, 6, 23173, 75230, 92904, 710, 183216, 4151, 69355, 292, 4838, 3496, 186145, 22426, 97634, 119718, 92605, 10918, 1211, 73486, 215726, 38, 4151, 116486, 2932, 113889, 4852, 705, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 33960, 57619, 7682, 5, 4151, 6, 80453, 33809, 119718, 6, 84577, 506, 186955, 7243, 2205, 7746, 6319, 54260, 1211, 69529, 6, 162642, 125897, 2200, 6319, 68558, 2205, 6319, 54260, 1211, 6, 5, 60732, 7201, 21106, 7243, 1751, 93704, 28320, 5, 212053, 4151, 73095, 60071, 119055, 29060, 6235, 101296, 40920, 119055, 53414, 3120, 506, 183718, 6319, 59929, 205416, 22426, 2702, 1470, 54260, 8903, 119132, 6, 148346, 137119, 6, 4, 119055, 29060, 7265, 4151, 6, 23173, 110970, 80453, 31623, 17310, 7243, 23173, 23174, 4113, 81427, 119055, 53414, 6319, 54260, 1211, 69529, 30109, 48904, 15307, 54260, 48253, 97634, 6293, 199145, 3056, 125523, 7243, 1982, 23173, 506, 47351, 5, 1470, 75230, 33225, 7369, 2932, 119364, 10339, 21106, 6319, 68558, 8947, 7243, 151614, 148346, 1211, 6319, 54260, 1211, 69529, 6, 109636, 40232, 4, 2442, 6093, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 418, 35189, 6, 73381, 87442, 119055, 29060, 220224, 1211, 20632, 1644, 5, 123736, 148346, 6093, 212053, 4151, 10339, 215726, 13497, 6, 94741, 63020, 3373, 54260, 119718, 21292, 6, 148346, 1644, 54260, 148346, 1211, 6, 4, 199145, 56170, 4838, 620, 91595, 2702, 3056, 81444, 4151, 8580, 705, 26612, 41731, 14004, 7243, 6, 4, 36324, 75230, 6, 238144, 2882, 37826, 364, 183718, 6319, 59929, 205416, 22426, 3523, 71512, 6235, 119718, 39083, 2882, 23173, 24295, 236376, 1211, 5, 7369, 37826, 7746, 130170, 8903, 119718, 29766, 33225, 4151, 58571, 215726, 3496, 64260, 71430, 64260, 6235, 234221, 6, 4, 36324, 22753, 2205, 224220, 13456, 2200, 30654, 119718, 506, 103023, 5, 1285, 81444, 4852, 125897, 1470, 54260, 110970, 80453, 31623, 109226, 7265, 7746, 6, 21106, 54260, 1211, 151614, 148346, 1211, 56170, 70845, 1470, 75230, 2702, 8903, 104149, 163139, 4838, 6, 37016, 50853, 125897, 92500, 2190, 107182, 125897, 56170, 238144, 1644, 17310, 4, 163139, 4838, 6, 56052, 57906, 75230, 6093, 5047, 7265, 7746, 6, 21106, 61621, 4, 119718, 120467, 3056, 2205, 6, 124470, 31212, 80839, 40920, 212484, 2200, 151614, 55823, 3111, 23405, 35044, 68558, 5, 36324, 75230, 37826, 2181, 2808, 75230, 2702, 23269, 15231, 2882, 29659, 220224, 1211, 11211, 204403, 4944, 171433, 13982, 40697, 101251, 29766, 710, 35596, 54196, 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 ]
[ 119055, 13845, 107581, 3056, 148346, 1644, 75230, 4852, 6, 61397, 91595, 6235, 159696, 1211, 199145, 3373, 26, 95766, 20632, 8903, 4151, 80839, 40920, 212484, 7682, 15907, 292, 92500, 2205, 10676, 6, 172060, 185226, 99509, 29659, 188301, 5, 1285, 56170, 238144, 1644, 17310, 37826, 6235, 2648, 75230, 77188, 119718, 29771, 12984, 5, 16175, 54260, 1644, 2865, 39083, 37826, 1470, 75230, 2702, 8903, 104149, 4, 36324, 15857, 159696, 33716, 70845, 7369, 61397, 292, 2200, 2702, 155, 95766, 55242, 1644, 148346, 16803, 7201, 23173, 105235, 16747, 44779, 6235, 159696, 1211, 6, 47351, 4838, 54260, 50856, 54260, 20315, 5666, 54260, 5, 6, 47351, 4838, 83182, 2865, 39083, 37826, 8947, 70845, 6, 148346, 13159, 6093, 6235, 101296, 40920, 2200, 95455, 37826, 7746, 1470, 75230, 4667, 163139, 35189, 23173, 75230, 4944, 8903, 119718, 16562, 56170, 4838, 54260, 50856, 15435, 161829, 5, 7508, 6093, 21776, 124740, 2882, 40096, 3056, 6235, 905, 12483, 20632, 1644, 6, 4, 3496, 64260, 3131, 2865, 26, 506, 64260, 8947, 7243, 132025, 8903, 225164, 159308, 6, 113889, 51723, 2200, 4151, 21733, 77188, 56170, 36324, 13845, 12984, 5, 10069, 130170, 23269, 2865, 17310, 3056, 6235, 148346, 7972, 148346, 1211, 6, 68558, 4838, 21776, 124740, 2882, 40096, 2200, 364, 183718, 6319, 59929, 205416, 22426, 506, 64260, 1054, 54260, 16932, 6, 139449, 3944, 15388, 10339, 26612, 15949, 183718, 1211, 292, 2190, 2932, 230764, 2190, 2932, 7265, 10676, 20315, 87311, 1211, 6, 4, 199145, 220224, 1211, 101251, 2932, 21660, 75230, 188201, 49920, 95494, 23741, 37826, 7746, 6235, 192575, 2882, 4, 657, 75230, 23093, 48904, 4944, 6319, 59929, 205416, 22426, 2702, 6235, 46590, 6, 4, 6, 188301, 1211, 7265, 4838, 6319, 40096, 59929, 226112, 55823, 5, 4852, 99509, 4484, 54260, 2882, 3120, 6319, 71804, 183216, 119718, 120467, 564, 23173, 4838, 4151, 23847, 54260, 4944, 17310, 2200, 3523, 54260, 4113, 4838, 54260, 5666, 91163, 17310, 2205, 4151, 3373, 208048, 205416, 17645, 6, 148346, 6093, 29400, 29771, 6293, 151614, 1982, 95455, 6235, 88660, 13497, 6, 23173, 75230, 2702, 121865, 1211, 178766, 657, 48904, 7511, 6093, 133671, 22680, 54260, 13497, 3120, 6319, 99766, 5, 7972, 5, 89184, 2200, 70845, 119055, 23173, 33225, 2205, 1285, 123736, 25207, 36258, 19550, 47351, 221895, 2442, 6, 47351, 1470, 54260, 20315, 44478, 6093, 4, 3496, 64260, 2882, 42493, 1054, 54260, 29171, 6093, 874, 142429, 59461, 88911, 5666, 76776, 23741, 705, 20033, 151614, 148346, 1211, 6, 148346, 140746, 8947, 3069, 4151, 8300, 54260, 67873, 4, 9213, 148346, 6093, 139449, 7265, 10069, 192556, 77525, 2648, 125897, 7508, 54260, 64213, 3120, 123736, 148346, 710, 87442, 2200, 1470, 75230, 7201, 120749, 7682, 4269, 9221, 7682, 9213, 148346, 6093, 13342, 8903, 148346, 1211, 8947, 10676, 657, 54260, 114436, 5, 13159, 37826, 7746, 6235, 506, 183512, 21295, 6, 159696, 15388, 4838, 3069, 8903, 17494, 24621, 119132, 56170, 238144, 1644, 17310, 96743, 171127, 15529, 96302, 2205, 364, 75230, 47332, 13342, 5666, 75230, 42410, 14088, 4852, 21106, 5, 8947, 37826, 8947, 1470, 75230, 2702, 8903, 236376, 43243, 97634, 2865, 59929, 6, 212915, 10069, 6319, 54260, 5666, 2865, 39083, 219947, 15529, 188301, 4113, 9934, 29766, 2932, 56170, 1285, 112216, 8300, 5332, 198093, 2200, 3373, 95766, 6, 148346, 26612, 31249, 120467, 1211, 6235, 119718, 29766, 1211, 37729, 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 ]
[ 56170, 119718, 186955, 17310, 5, 8947, 37826, 6, 23173, 54260, 23405, 73381, 54196, 2205, 88660, 119364, 119055, 13845, 107581, 20033, 163139, 67873, 7243, 6, 148346, 23173, 4113, 4944, 171428, 4, 123736, 148346, 6093, 20033, 192183, 12483, 6, 225975, 1211, 4, 165592, 1285, 132025, 91163, 17310, 3120, 224252, 710, 105515, 37826, 7243, 6235, 4484, 23173, 98833, 5, 3056, 8947, 6, 4, 364, 54260, 16803, 13159, 4838, 224220, 22426, 1644, 31623, 54196, 46440, 8300, 54260, 2932, 3120, 10676, 6, 56052, 4, 163139, 4151, 48706, 123073, 120467, 4484, 137377, 4, 35189, 6319, 21106, 54260, 2648, 120467, 4484, 137377, 2200, 4151, 21374, 113889, 101296, 97634, 2932, 48775, 17268, 86733, 6, 78683, 119364, 705, 4838, 119718, 2648, 14004, 292, 29771, 148346, 6093, 4151, 148346, 54260, 1470, 75230, 4667, 292, 166777, 7243, 5, 119055, 29766, 46598, 86462, 171665, 1644, 3056, 95455, 219947, 6235, 159696, 1211, 6319, 54260, 1211, 123736, 148346, 2882, 152185, 6, 71577, 23173, 40096, 6, 4, 95455, 4, 1054, 120467, 874, 26, 506, 64260, 2205, 1470, 54260, 119132, 47351, 123736, 119718, 13497, 1470, 75230, 7201, 190135, 2205, 6319, 71804, 119718, 710, 32206, 21106, 68558, 133190, 15, 35189, 71107, 37826, 7201, 23173, 1644, 54260, 98833, 1285, 364, 35596, 6, 4, 119055, 6093, 9213, 148346, 53414, 6319, 137377, 2200, 119055, 6093, 6235, 148346, 75230, 2932, 114436, 506, 54260, 2882, 9213, 148346, 53414, 1751, 75230, 2702, 16, 6, 47351, 6, 92605, 71616, 152185, 74, 9424, 119718, 21292, 16667, 151614, 148346, 1211, 4231, 65482, 3944, 4944, 18415, 4838, 23822, 92605, 42180, 35044, 75230, 2882, 19302, 59929, 4, 6, 48775, 23405, 2200, 119055, 77188, 6, 148346, 104383, 7746, 7243, 6235, 88660, 13497, 564, 23173, 97594, 12984, 35189, 13342, 5, 95455, 3056, 7243, 6235, 159696, 12483, 6319, 54260, 1211, 192544, 13456, 2200, 1470, 54260, 5666, 7201, 29766, 134067, 46440, 10813, 6, 4, 119718, 120467, 3056, 1751, 75230, 1211, 3523, 136775, 6235, 119718, 29766, 1211, 2200, 3069, 119055, 13845, 12984, 874, 26, 506, 64260, 7746, 7243, 13342, 61397, 54196, 6, 4, 1470, 75230, 148346, 874, 26, 506, 64260, 133190, 6235, 506, 40096, 364, 41595, 6093, 7746, 4838, 57410, 905, 6, 148346, 1644, 75230, 4852, 29434, 54260, 119718, 29771, 12984, 5, 95455, 3056, 6235, 159696, 1211, 4838, 6, 65939, 3120, 9181, 175483, 1211, 2200, 4269, 54260, 175483, 6093, 16667, 28320, 4484, 171127, 44478, 65689, 6235, 68380, 5, 8947, 3056, 6235, 159696, 1211, 4838, 65146, 7682, 71577, 23173, 40096, 5, 8947, 3056, 6235, 159696, 1211, 4838, 4269, 48775, 87311, 7201, 68558, 62808, 119055, 39083, 28320, 6, 148346, 60732, 185527, 7243, 6235, 119718, 39083, 2882, 6, 4, 874, 26, 4852, 39083, 95455, 119055, 99766, 7201, 23173, 29659, 54260, 1211, 230764, 6, 47351, 101251, 159696, 38054, 133671, 2200, 56170, 13845, 16932, 28320, 185527, 2200, 56170, 148346, 24295, 35465, 8947, 7265, 4151, 160238, 105235, 1644, 17310, 3120, 4838, 40026, 6093, 2648, 123329, 160238, 2050, 2200, 7243, 10705, 2865, 35189, 9719, 2648, 192956, 4, 7746, 6, 84577, 119718, 7682, 119425, 125897, 6, 80453, 33809, 119718, 1211, 3120, 4838, 32887, 4944, 29171, 4, 199145, 29659, 25207, 148346, 2882, 3069, 4151, 4151, 506, 75230, 148346, 16667, 16932, 65146, 152185, 620, 38461, 5, 874, 54260, 23269, 3944, 148346, 4113, 12, 2648, 120467 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3056, 7243, 6235, 159696, 1211, 95455, 23050, 148346, 4113, 133324, 125897, 29434, 54260, 4484, 119273, 1644, 4, 6, 17645, 69106, 7265, 140746, 162726, 710, 18415, 2200, 159308, 6, 68566, 17160, 6, 4, 4838, 3069, 153222, 22426, 161829, 3069, 4838, 132025, 7201, 29766, 134067, 1211, 4, 1470, 75230, 2702, 8903, 506, 75230, 21295, 1211, 14856, 36326, 119132, 6, 226112, 2865, 22426, 54260, 2882, 6, 4, 199145, 3056, 74806, 57277, 49008, 1470, 75230, 33225, 6, 147502, 95766, 148932, 114502, 2200, 37826, 132025, 8903, 46590, 2882, 1285, 7243, 14004, 148346, 6093, 21733, 54260, 148346, 6093, 40697, 1470, 75230, 53414, 7265, 4838, 10339, 171433, 55823, 119718, 40096, 6093, 6, 166198, 86733, 54260, 5, 95455, 67882, 48253, 119718, 23173, 26394, 36326, 177243, 6, 29060, 119718, 120467, 86510, 6093, 3120, 4151, 6, 148346, 2442, 54260, 2882, 4, 56170, 148346, 88917, 1211, 7265, 4838, 220224, 20315, 119132, 78683, 148346, 13845, 3069, 6, 47351, 895, 87442, 2442, 65689, 192183, 2882, 129071, 2205, 4151, 119055, 84577, 6, 4, 3056, 74806, 57277, 49008, 22426, 134193, 2200, 1285, 4944, 140980, 54196, 230764, 4838, 10339, 26612, 4667, 147502, 1644, 2200, 37826, 6, 148346, 104383, 7243, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 6319, 54260, 1211, 69529, 64769, 28726, 4944, 4484, 54260, 2882, 7265, 4231, 114436, 7508, 75230, 6093, 4, 56170, 2865, 148346, 69127, 123329, 35189, 564, 75230, 148346, 6093, 148346, 23173, 2932, 123439, 101296, 3131, 127684, 17645, 5, 36324, 874, 26, 506, 64260, 1470, 75230, 111137, 506, 75230, 148346, 1211, 95455, 9174, 23269, 119718, 2648, 125897, 4, 199145, 6, 238144, 16932, 21106, 7611, 85596, 44478, 4113, 54745, 21733, 4, 3056, 6, 148346, 21106, 2648, 1470, 75230, 111137, 3131, 80453, 64071, 1211, 3120, 22639, 4113, 238144, 7511, 78683, 14856, 81829, 3944, 40920, 1644, 2200, 37826, 8947, 1470, 75230, 97634, 101296, 147502, 132025, 195054, 35596, 30109, 14088, 5, 22639, 4113, 119718, 45619, 15307, 64260, 18225, 4151, 104149, 2205, 10339, 71804, 104238, 56170, 15231, 7201, 17310, 4838, 29434, 54260, 22426, 1644, 174121, 1470, 75230, 2702, 8903, 148346, 29060, 7265, 6, 68566, 119132, 33718, 4667, 6, 4, 7265, 4838, 6, 29171, 13845, 119132, 7508, 183512, 2200, 1470, 75230, 4667, 56170, 29171, 21295, 14004, 83182, 144754, 4, 6428, 99766, 1211, 4, 119055, 10705, 874, 26, 39293, 56169, 6, 23173, 8580, 1285, 364, 23173, 18415, 4269, 50622, 22426, 7972, 18415, 5, 198754, 2702, 4, 95766, 4151, 220224, 2882, 6, 4, 37826, 18225, 6, 238144, 16932, 6, 148346, 75322, 6093, 20911, 6, 47351, 6, 71577, 23173, 40096, 7265, 6, 168104, 53414, 23173, 14088, 6, 4, 163139, 4838, 220224, 61397, 3069, 21776, 39478, 52541, 10676, 32887, 2865, 204403, 4, 130154, 2702, 292, 1285, 6319, 29766, 148346, 4113, 5, 144754, 119055, 13845, 104238, 874, 26, 506, 64260, 6235, 88660, 13497, 95455, 6235, 159696, 24152, 6, 212484, 1211, 4269, 54260, 1211, 84475, 123736, 128540, 5, 130154, 2702, 11211, 198093, 37826, 18225, 6235, 104149, 10676, 6, 148346, 26612, 159696, 2932, 28726, 12984, 1470, 75230, 2702, 8903, 506, 75230, 21295, 1211, 6, 29766, 46598, 3120, 24012, 21733, 7265, 220224, 23269, 6, 195054, 135118, 12483, 4, 199145, 37826, 6, 18167, 7201, 23173, 188301, 2882, 7265, 4838, 10339, 71804, 4667, 4484, 54260, 28726, 133324, 123329, 14856, 2865, 148346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48775, 23269, 4, 199145, 11265, 4113, 22518, 448, 44779, 1285, 49008, 6, 148346, 26612, 29659, 710, 63532, 6235, 159696, 1211, 4, 6, 4, 56040, 39083, 2205, 220224, 4838, 12415, 118025, 54260, 12483, 1285, 143064, 213952, 4113, 6, 113889, 55546, 5, 874, 26, 506, 64260, 1470, 75230, 4667, 6235, 88660, 13497, 6, 73381, 171428, 1285, 10339, 29771, 35189, 105235, 6, 97634, 21066, 2882, 9221, 44779, 2200, 874, 26, 506, 64260, 364, 41595, 6093, 10676, 4151, 104149, 4838, 7508, 54260, 3944, 40920, 44779, 6, 5, 64769, 44779, 13342, 4838, 6, 163177, 21106, 22151, 17645, 4, 3120, 1751, 119718, 23173, 7611, 8903, 7511, 56169, 364, 39083, 7611, 292, 7243, 28415, 5, 2451, 8947, 3056, 4151, 24012, 82576, 874, 142429, 13845, 292, 37826, 6235, 225975, 2882, 4151, 364, 75230, 13458, 40096, 6, 4, 199145, 3056, 1470, 75230, 4667, 4151, 144754, 6, 23173, 54260, 5666, 130991, 5, 292, 1285, 141879, 4151, 23847, 54260, 4944, 17310, 4, 114955, 4, 41764, 12415, 87311, 4, 5332, 4667, 4113, 6293, 4, 5332, 22426, 13159, 6, 148346, 13159, 93497, 148707, 41595, 6, 33716, 220273, 219947, 230764, 4151, 6, 159696, 21295, 5, 7369, 37826, 6, 23173, 75230, 2702, 238197, 1285, 119055, 6093, 16932, 101251, 8903, 506, 54260, 6093, 224220, 13456, 4, 36324, 75230, 163139, 6, 47351, 2181, 85465, 29025, 152185, 56170, 4484, 75230, 59919, 119055, 39083, 2882, 6, 195054, 75230, 148346, 2882, 220224, 1211, 3373, 42695, 506, 5, 292, 95455, 3056, 7243, 6319, 54260, 1211, 6, 71577, 23173, 40096, 2200, 7243, 6, 97925, 101296, 16629, 1211, 292, 37826, 7369, 6, 238144, 16932, 6, 238197, 6, 4, 4151, 148346, 54260, 37826, 7369, 6, 23173, 75230, 2702, 139449, 69355, 4838, 56170, 148346, 7682, 148346, 28726, 12984, 41764, 41731, 109316, 1470, 75230, 33225, 6, 147502, 4838, 6, 113889, 55546, 2200, 37826, 22753, 6, 139449, 6, 23173, 54260, 5666, 25391, 75230, 33225, 5, 292, 95455, 3056, 6, 47351, 224252, 15529, 96302, 6, 4, 95455, 3056, 4838, 34575, 93704, 710, 119718, 23173, 147848, 6, 4, 4838, 20632, 23173, 59461, 6, 4, 95455, 49920, 81829, 21776, 4852, 232187, 16667, 92500, 97995, 21106, 710, 73381, 23173, 506, 13845, 2882, 161829, 1211, 3120, 17288, 4944, 119364, 6, 48775, 7916, 23269, 96302, 12, 137, 204403, 116793, 710, 66168, 26612, 155, 710, 364, 54260, 16803, 6, 75230, 2865, 23173, 39340, 4, 163139, 3373, 26, 44478, 13497, 194706, 1285, 1470, 75230, 221704, 710, 23741, 230764, 4151, 9424, 238144, 16932, 6, 75230, 2882, 1639, 1285, 9424, 238144, 27702, 12415, 63532, 80885, 18906, 22426, 28633, 3120, 10184, 55546, 67882, 104238, 2205, 1470, 15907, 21106, 17645, 2205, 2489, 2200, 543, 6, 101328, 17800, 88917, 77188, 2819, 78278, 364, 54260, 50778, 38249, 166464, 1285, 16175, 54260, 6093, 80885, 10339, 54260, 1644, 12483, 5, 2451, 42, 1470, 54260, 23269, 3120, 1285, 3523, 54260, 1211, 65146, 13159, 5, 130252, 97634, 2865, 59929, 6, 212915, 69355, 54745, 21733, 5, 4838, 1285, 2882, 86733, 10339, 26612, 148346, 2442, 7682, 84577, 6, 4, 56170, 29659, 54260, 2882, 11265, 5, 20033, 193178, 8947, 26612, 3373, 4667, 6, 148346, 13159, 6093, 3120, 76961, 5, 95455, 46711, 54260, 506, 23173, 10918, 4484, 192575, 7682, 21106, 40697, 2205, 4838, 3523, 54260, 8300, 54260, 46545, 24621, 4944, 48904 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 152185, 6235, 29659, 186955, 5, 1285, 6428, 54260, 153222, 3523, 83586, 5622, 25037, 188, 661, 5, 2648, 29771, 37826, 11265, 1285, 3944, 16932, 40096, 14303, 38, 292, 37826, 7369, 6235, 225975, 2882, 2200, 6235, 119718, 15533, 1211, 2808, 75230, 6293, 4838, 117902, 7972, 26394, 2205, 4151, 119055, 84577, 119055, 10705, 3373, 26, 4852, 54260, 49008, 6235, 159696, 1211, 1470, 75230, 2702, 190135, 148346, 12415, 18415, 6, 21106, 148346, 905, 51723, 5, 6255, 33960, 148346, 1470, 54260, 4667, 9213, 148346, 6093, 10676, 4269, 48904, 64213, 2190, 18250, 4, 11265, 170479, 2882, 94626, 221531, 151614, 148346, 1211, 3120, 70845, 6, 4, 123736, 148346, 6093, 3496, 26, 148346, 29060, 4, 874, 26, 4852, 39083, 70845, 1751, 75230, 49008, 5, 657, 29771, 62808, 23165, 230764, 4838, 6, 80453, 33809, 119718, 4838, 46440, 160204, 5332, 22426, 13159, 705, 10069, 112216, 42180, 198093, 151614, 148346, 1211, 1751, 57277, 24152, 6235, 148346, 213783, 2200, 6, 148346, 6093, 172398, 37826, 6, 23173, 75230, 2702, 2932, 21660, 75230, 15388, 148620, 3120, 1285, 165284, 2050, 14004, 5927, 186955, 161321, 28726, 110573, 13456, 47890, 148346, 710, 104238, 4, 37826, 8903, 9719, 29659, 1285, 1751, 159696, 25207, 6, 148346, 28726, 16932, 6, 4, 37826, 6, 23173, 75230, 2702, 139449, 4838, 162726, 174121, 3120, 26612, 6, 97634, 119718, 28726, 119132, 192183, 159696, 33716, 1470, 75230, 2702, 8903, 117260, 28320, 22639, 35189, 144754, 1211, 6, 4, 36324, 75230, 36324, 874, 26, 506, 64260, 8903, 88660, 13497, 9213, 148346, 6093, 7972, 171428, 10676, 78104, 21338, 2205, 56170, 20260, 4113, 42122, 850, 4, 2200, 37826, 30473, 6, 23173, 54260, 23405, 48350, 21660, 2882, 5, 7265, 1470, 54260, 1211, 7508, 9221, 37826, 7369, 6235, 101296, 40920, 6, 4, 36324, 1285, 162726, 174121, 4852, 39083, 7746, 6, 101470, 29434, 54260, 12483, 4, 37826, 120202, 8903, 119718, 23173, 2882, 4838, 9424, 119718, 710, 3373, 37016, 88917, 1211, 4, 6, 148346, 15533, 35189, 657, 75230, 6293, 170479, 4151, 23847, 54260, 12984, 1285, 99509, 4113, 74806, 119718, 24295, 79950, 54260, 2882, 2200, 4151, 113889, 4667, 37826, 6093, 564, 29766, 75230, 4944, 46545, 6, 23173, 75230, 7201, 190135, 10676, 10339, 54260, 119132, 145813, 45631, 3120, 4151, 1751, 97634, 44478, 59461, 6, 113889, 55546, 230764, 4151, 162726, 174121, 5, 874, 26, 506, 64260, 4151, 506, 77188, 4838, 657, 54260, 40920, 1751, 23173, 7201, 213952, 6, 61397, 75230, 3131, 5, 7369, 37826, 98252, 3069, 8903, 2648, 87442, 159308, 54745, 21733, 2200, 2205, 4151, 39293, 1644, 148346, 6093, 118522, 37826, 1470, 75230, 2702, 8903, 148346, 90848, 12984, 37729, 4151, 123736, 7201, 114436, 16175, 137377, 21295, 9221, 4, 3120, 8300, 119718, 65689, 1285, 6, 163177, 21106, 154197, 79238, 22426, 186955, 1211, 4, 6, 129891, 4, 3120, 4269, 48904, 64213, 27855, 177243, 6, 47351, 224252, 15529, 96302, 21106, 6093, 33718, 17017, 4838, 9181, 175483, 7972, 23173, 2865, 188301, 4113, 2200, 46711, 54260, 148346, 213952, 4113, 48277, 142429, 17645, 5, 10069, 200795, 16175, 129071, 1211, 3120, 123736, 7201, 43178, 148346, 26612, 40377, 6, 47351, 1470, 33809, 159696, 2442, 29631, 199145, 37826, 21934, 10705, 194734, 95064, 119718, 29766, 33225, 1285, 115825, 35189, 5, 2865, 26, 506, 64260, 74806, 2865, 54260, 10813, 2882, 2200, 1470, 54260, 23405, 20616, 77188, 7746, 7265, 123736 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7201, 65482, 874, 54260, 44478, 5, 2865, 155, 506, 64260, 7243, 6235, 21847, 75230, 148346, 2882, 1285, 1470, 54260, 2932, 65482, 1470, 75230, 53414, 4, 36324, 75230, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 2648, 54260, 1211, 2200, 3523, 40096, 9221, 44779, 220224, 49008, 6235, 159696, 1211, 1285, 6319, 39083, 29766, 40096, 14303, 1211, 3120, 224252, 15529, 96302, 5, 26612, 7038, 55546, 292, 6, 148346, 1644, 75230, 4852, 1285, 1470, 54260, 23269, 292, 37826, 10339, 84577, 59929, 147502, 6, 80453, 13845, 62078, 33716, 5, 874, 26, 506, 64260, 8903, 506, 77188, 1285, 6, 148346, 26612, 159696, 2932, 109226, 3120, 3373, 9719, 48253, 7682, 6, 4, 10676, 46711, 63593, 39083, 29771, 3120, 4151, 6, 223390, 6093, 148346, 23173, 9221, 17310, 1285, 22753, 36419, 9213, 148346, 6093, 240863, 12483, 3120, 1470, 54260, 1211, 117902, 30473, 42180, 3069, 4151, 6, 48904, 141847, 128117, 152, 78278, 73784, 364, 54260, 50778, 38249, 166464, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 89816, 35189, 6093, 5, 3373, 26, 506, 64260, 7746, 1470, 75230, 2702, 8903, 3131, 54260, 21295, 1285, 48277, 142429, 17645, 4838, 119055, 21106, 89930, 137, 26612, 4667, 5, 168892, 151614, 148346, 22753, 56170, 1644, 75230, 61621, 2909, 1285, 6, 29766, 39340, 82576, 506, 23173, 87311, 142170, 37826, 657, 54260, 40920, 130170, 8903, 4944, 71577, 2882, 1285, 41764, 17645, 29659, 3131, 188301, 4113, 4838, 144295, 4, 2200, 874, 26, 68313, 6, 84577, 10918, 20911, 6235, 119718, 29766, 1211, 506, 6093, 213952, 163139, 22753, 235466, 6, 68558, 110573, 77525, 850, 2200, 123822, 33716, 7746, 9213, 148346, 6093, 163139, 4838, 7508, 75230, 3131, 152848, 506, 106, 1146, 3131, 38, 5, 3523, 40096, 9221, 44779, 3056, 8947, 7243, 6235, 159696, 1211, 36324, 75230, 6, 4, 163139, 81444, 95766, 9934, 21106, 119055, 39083, 2882, 192183, 89930, 2702, 54196, 4838, 10339, 129071, 40697, 6319, 71577, 109316, 5, 4151, 19302, 48904, 2932, 68313, 88771, 4, 7243, 6235, 119718, 29766, 1211, 21776, 7201, 29766, 2865, 54196, 4, 123736, 148346, 6093, 7369, 3056, 6235, 159696, 1211, 4838, 119718, 710, 364, 63188, 170479, 6, 104378, 37640, 83182, 238144, 2882, 16667, 5, 1470, 75230, 148346, 874, 26, 88660, 1211, 193178, 6, 47351, 120202, 2882, 65689, 56170, 21847, 54260, 4667, 6, 4, 119055, 39083, 2882, 18225, 8947, 6235, 88660, 13497, 56170, 21847, 54260, 12984, 163139, 6, 148346, 14236, 7544, 148346, 26612, 236376, 6235, 24621, 67873, 37729, 6, 47351, 9213, 148346, 6093, 8903, 75290, 16932, 657, 29766, 23269, 18415, 4, 36324, 75230, 36324, 6, 21106, 7611, 215594, 1470, 75230, 2050, 29771, 111137, 55049, 2882, 2200, 56170, 21733, 114436, 2882, 6, 4, 3496, 64260, 3131, 3373, 26, 7201, 23173, 1644, 54196, 7746, 166777, 7243, 10069, 1751, 23173, 42410, 54260, 2882, 3120, 4151, 9424, 54260, 4944, 43178, 17310, 4, 1285, 657, 54260, 40920, 4484, 48775, 23741, 3120, 1285, 6319, 39083, 52541, 5, 2648, 120467, 65146, 7682, 3131, 46545, 4, 4838, 16175, 21106, 35596, 54196, 2702, 2200, 4838, 190800, 23269, 2865, 188301, 2702, 4, 37826, 6, 18167, 2808, 75230, 2702, 8903, 3131, 22426, 710, 21295, 7265, 4151, 4269, 48904, 89930, 163139, 10918, 16580, 2882, 3120, 10676, 657, 54260, 40920, 30473, 29171, 1211, 1470, 54260, 5666, 7201, 21106, 5, 4151, 77208, 3056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 159696, 1211, 1285, 1470, 75230, 2702, 195054, 59929, 20260, 54260, 2882, 6, 21106, 54260, 1211, 4, 2181, 2205, 6235, 159696, 1211, 4838, 364, 119718, 53805, 123329, 2200, 6319, 159696, 177243, 2648, 123329, 4269, 21106, 137377, 6, 4, 4838, 2190, 112595, 23173, 36326, 2865, 16932, 78683, 20260, 47351, 6, 4, 199145, 37826, 6235, 95494, 33225, 1285, 163139, 4852, 17645, 3120, 4838, 1751, 218241, 1644, 12483, 7265, 21422, 7972, 83182, 2702, 2205, 4151, 9181, 23741, 119055, 23173, 33225, 7265, 136645, 4, 56170, 506, 75230, 148346, 1211, 19302, 54260, 35189, 2200, 506, 64260, 220273, 6319, 54260, 1211, 77208, 7243, 6, 139449, 2205, 220224, 1211, 224220, 13456, 23822, 98071, 33809, 112595, 21106, 1211, 72507, 5, 4151, 113889, 4667, 37826, 95455, 29434, 93975, 159696, 24152, 1470, 75230, 97634, 101296, 147502, 7746, 123736, 111137, 194734, 21295, 5, 2702, 26, 68313, 6235, 159696, 1211, 1470, 75230, 2702, 5, 874, 26, 506, 64260, 6, 71577, 1644, 142429, 54196, 364, 23173, 10918, 4484, 5, 2865, 26, 506, 64260, 6235, 148346, 213783, 4, 3373, 26, 905, 39083, 6, 238144, 16932, 46440, 1211, 4, 2200, 874, 26, 506, 64260, 6235, 172060, 13845, 2882, 5, 69355, 10676, 27855, 177243, 6, 23173, 75230, 2702, 151614, 148346, 1211, 6, 139449, 1751, 226112, 51723, 115556, 192956, 52059, 850, 2865, 43178, 192956, 6, 238144, 107581, 2200, 6235, 119718, 21106, 2648, 125897, 3069, 235210, 12483, 4, 6, 148346, 26612, 2932, 69181, 3120, 6, 47351, 6, 29766, 39340, 82576, 5, 3373, 26, 68313, 6235, 159696, 1211, 6, 47351, 9213, 57277, 7972, 161829, 6093, 6, 148346, 23173, 15907, 68558, 7265, 4838, 27702, 126700, 28320, 113889, 51723, 5, 182261, 37826, 1751, 75230, 1211, 166777, 7243, 6235, 88660, 13497, 220224, 1211, 6319, 54260, 1211, 7508, 54260, 2442, 159696, 15388, 4838, 3069, 8903, 29257, 36326, 158652, 54260, 2882, 3120, 52059, 2200, 6, 159696, 15388, 6, 238144, 158652, 15907, 5, 95455, 49920, 192956, 50931, 37826, 4838, 19302, 17310, 6235, 97634, 1211, 7265, 220224, 1211, 3523, 40096, 9221, 192956, 2442, 99509, 4484, 54260, 2882, 2200, 6319, 48775, 23741, 5, 159696, 1211, 874, 26, 68313, 6, 23173, 54260, 1211, 2205, 4838, 9424, 238144, 28320, 21422, 46685, 2200, 874, 26, 506, 64260, 7243, 6, 61397, 12483, 20315, 2050, 4838, 7201, 23173, 40096, 4, 37826, 18225, 6, 148346, 137127, 6235, 88660, 13497, 7544, 49008, 4, 36324, 2205, 3373, 21106, 68558, 119055, 12483, 76961, 224252, 15529, 96302, 1211, 46440, 1211, 5, 158696, 97634, 2865, 59929, 6, 212915, 29659, 54260, 2882, 4151, 6319, 171127, 44478, 7265, 657, 54260, 148346, 2200, 17190, 148346, 1211, 6, 4, 7265, 1285, 6, 113889, 28320, 2205, 4151, 506, 84577, 2200, 6, 201237, 2882, 5, 7369, 37826, 6235, 4852, 109226, 4838, 6, 148346, 48775, 119718, 63864, 23173, 17645, 3120, 4151, 137377, 123073, 2205, 220224, 1211, 145813, 48775, 4667, 292, 104, 18, 2051, 508, 913, 9934, 2702, 1909, 88394, 13, 5, 653, 3863, 4, 916, 11, 464, 118, 568, 85949, 15938, 7598, 5, 6, 1651, 15938, 6, 4, 15388, 85949, 15938, 5, 339, 18, 1970, 31, 5, 85949, 15938, 106, 10069, 3069, 506, 6093, 6093, 220224, 49008, 114564, 7243, 74806, 205416, 148346, 1211, 3120, 6, 71804, 12984, 4, 49920, 213952, 10676, 7201, 21106, 39293, 2882, 9221, 213952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1096, 3180, 528, 557, 10676, 192183, 2882, 48775, 16803, 9424, 119718, 65689, 6, 64260, 35189, 148346, 53414, 29659, 448, 2200, 4151, 163139, 50853, 25222, 104238, 6, 148346, 23173, 54260, 20315, 119718, 103023, 54260, 2882, 5, 6235, 7511, 18415, 151614, 148346, 1211, 6235, 88660, 13497, 148346, 26612, 236376, 1211, 2200, 6, 148346, 26612, 119718, 10705, 83182, 1211, 1285, 119166, 16803, 3120, 220224, 1211, 32054, 165592, 9221, 17310, 4, 220224, 1211, 123736, 105439, 18415, 4944, 29171, 5, 4838, 874, 54260, 82576, 2205, 6, 109995, 163139, 24152, 17310, 4, 4838, 163139, 33716, 905, 29771, 4852, 3120, 29434, 905, 27105, 133671, 5, 11, 57095, 104, 3373, 74806, 2865, 92605, 4, 292, 37826, 7369, 56170, 1644, 141847, 77188, 10676, 56170, 1644, 21660, 28320, 160204, 6, 4, 56170, 4151, 77208, 97634, 7511, 88660, 4, 2200, 7369, 37826, 4, 163139, 3373, 26, 506, 64260, 7746, 8903, 94741, 40920, 4151, 23269, 216510, 2882, 7746, 3069, 4151, 6, 148346, 71512, 7265, 6, 5, 35189, 364, 84577, 2205, 35189, 9181, 23741, 4, 36324, 905, 36324, 874, 155, 506, 64260, 9213, 2702, 8903, 148346, 90848, 12984, 7265, 4838, 6, 148346, 48775, 119718, 29771, 125523, 9213, 5, 35189, 7369, 37826, 6235, 188301, 2882, 5, 3373, 26, 68313, 6235, 159696, 1211, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 5, 92500, 874, 26, 506, 64260, 125523, 6235, 8903, 148346, 1211, 5, 4838, 119055, 21106, 13720, 29766, 1211, 37826, 1751, 54260, 1211, 2200, 160238, 30473, 4944, 46545, 74806, 22426, 710, 21295, 119055, 23173, 710, 215726, 2702, 3120, 4838, 10339, 39083, 13805, 7972, 2648, 5, 4838, 3373, 137377, 48775, 99611, 146887, 506, 64260, 1470, 75230, 2702, 8903, 4852, 109226, 2200, 1470, 75230, 2702, 8903, 65848, 1644, 29060, 6, 47351, 4838, 144295, 3120, 360, 6232, 1076, 1608, 144754, 4151, 3944, 148346, 28726, 4944, 82576, 21374, 63849, 54260, 2882, 2200, 6235, 5666, 75230, 4484, 54260, 2882, 5, 4151, 4269, 54260, 16803, 3120, 4838, 119718, 710, 39083, 45619, 16803, 7265, 4838, 6, 159696, 21295, 113889, 51723, 37826, 74806, 22426, 710, 21295, 51453, 31467, 24295, 29659, 54260, 16667, 4838, 81444, 2865, 183718, 163139, 364, 41595, 6093, 620, 54260, 53414, 2200, 3373, 26, 506, 64260, 70845, 6, 148346, 26612, 21847, 54260, 2882, 4838, 6319, 71804, 119718, 9221, 4, 119718, 120467, 37826, 6235, 21733, 109226, 6, 110129, 38249, 163139, 145813, 71512, 2882, 5, 3120, 10676, 657, 54260, 40920, 4852, 15435, 213952, 1211, 119718, 10705, 83182, 4484, 119273, 1644, 3056, 6, 23173, 75230, 2702, 130991, 34076, 218241, 1211, 8903, 21733, 48904, 2932, 4, 364, 23173, 55823, 97594, 2702, 183512, 29771, 710, 1639, 155, 6, 4, 6, 226112, 2865, 22426, 54260, 28320, 3131, 21106, 17310, 2200, 41764, 75230, 75290, 54260, 5, 73784, 77208, 37826, 18225, 23173, 54260, 23405, 48350, 21660, 2882, 6, 57277, 69106, 22426, 71804, 28320, 5, 3373, 26, 4852, 54260, 49008, 1751, 75230, 1211, 4838, 43375, 905, 6235, 159696, 1211, 7038, 82576, 1211, 3120, 5666, 54260, 46598, 107020, 22426, 99766, 6, 4, 2205, 5332, 215052, 64260, 65689, 74806, 2865, 92605, 3120, 117902, 33716, 4484, 5666, 54260, 109636, 4, 4151, 57277, 23405, 29771, 4, 6, 148346, 26612, 225164, 3069, 193178, 3120, 163139, 59461, 119055, 21106, 89930, 4838, 6, 57277, 69106, 56170, 220224, 2648 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13159, 5, 8300, 238144, 117902, 2442, 44779, 6, 4, 199145, 151614, 148346, 1211, 6235, 88660, 13497, 1285, 874, 142429, 40697, 32887, 69106, 4, 151614, 148346, 1211, 7746, 148346, 21106, 2648, 4838, 159696, 4484, 8903, 212484, 2882, 9213, 148346, 53414, 32887, 109636, 4667, 5, 6, 148346, 6093, 172398, 37826, 132025, 8903, 225975, 2882, 6, 4, 874, 15533, 39083, 2808, 28415, 6, 238197, 163139, 6235, 4852, 109226, 5, 14004, 148346, 6093, 63751, 1211, 5, 4307, 25442, 710, 115825, 48253, 213952, 4113, 32887, 59461, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 5666, 121670, 17645, 20315, 6, 113889, 55546, 6, 148346, 48904, 34365, 1211, 6, 148346, 1644, 75230, 4852, 1470, 54260, 1211, 874, 39083, 6, 4, 2200, 874, 26, 4852, 39083, 6, 148346, 26612, 506, 183512, 1644, 12483, 1285, 162726, 40096, 1211, 37271, 165592, 75230, 163139, 7508, 75230, 4113, 19532, 63188, 2909, 4151, 113889, 4667, 3056, 7369, 4838, 159696, 4484, 5, 364, 183718, 6319, 59929, 205416, 22426, 506, 64260, 6, 148346, 93704, 41595, 10676, 6, 71577, 23173, 40096, 5, 7201, 23173, 119718, 120467, 17824, 142429, 7369, 32, 36324, 75230, 37826, 7746, 6235, 101296, 40920, 5, 7265, 4838, 1470, 54260, 23405, 20616, 186955, 114436, 6, 84577, 31249, 120467, 20260, 54260, 2882, 3056, 7369, 4838, 39340, 2932, 5666, 8903, 240863, 12483, 1285, 4231, 65482, 49027, 107581, 506, 29771, 148346, 1211, 6, 113889, 12984, 364, 75230, 22680, 40096, 2702, 4838, 159696, 4484, 2932, 54260, 1211, 6235, 119718, 39083, 2882, 9213, 148346, 6093, 101470, 1285, 72669, 2808, 69355, 16175, 75230, 81829, 162726, 59929, 1211, 2200, 6, 113889, 55546, 12483, 2200, 95455, 6, 212484, 1211, 2200, 56170, 234221, 3120, 13982, 93975, 159696, 24152, 5, 292, 6, 212484, 2882, 205026, 95455, 160204, 292, 37826, 7369, 6235, 225975, 2882, 2200, 220224, 29771, 150020, 79238, 34079, 22426, 2882, 2205, 4838, 220224, 2882, 5, 4231, 65482, 151614, 148346, 1211, 70845, 34076, 54260, 4944, 154739, 46545, 95455, 120202, 8903, 186145, 28320, 6, 4, 86462, 171665, 1644, 4, 6, 238144, 1644, 7369, 37826, 6235, 101296, 40920, 4838, 874, 71512, 4, 34076, 54260, 4667, 163139, 7369, 4852, 39083, 7746, 51678, 4151, 75230, 6293, 3120, 6, 71804, 23405, 4, 9424, 119718, 15907, 5666, 4944, 4, 6, 238144, 1644, 3373, 26, 68313, 220224, 89979, 6093, 119718, 710, 29171, 6235, 147713, 1211, 4151, 8580, 6, 4, 220224, 170479, 1211, 7746, 117902, 25207, 1211, 6, 148346, 54260, 2050, 36925, 3120, 6235, 68380, 171433, 29659, 64260, 6, 148346, 92605, 159696, 2050, 2200, 32054, 54260, 3069, 6, 212484, 1211, 4151, 71804, 51723, 7746, 1285, 221531, 4, 163139, 71804, 23405, 3373, 26, 506, 64260, 125523, 7243, 6235, 71804, 23405, 238144, 1644, 93449, 5, 183512, 6093, 3131, 3056, 6235, 159696, 1211, 7265, 364, 183718, 6319, 59929, 205416, 22426, 1211, 5, 6, 148346, 36326, 609, 4151, 364, 75230, 13458, 40096, 37826, 54745, 87311, 5666, 34575, 54196, 1285, 3523, 54260, 4113, 136645, 506, 4, 37826, 7369, 7746, 67826, 1644, 6235, 234221, 2205, 364, 41595, 6093, 23847, 88917, 37826, 7243, 6235, 71804, 40920, 4, 7243, 6235, 101296, 40920, 6319, 54260, 1211, 5666, 2865, 119718, 137218, 16803, 40697, 9424, 119718, 13456, 50856, 33225, 4, 133190, 37826, 74806, 22426, 84577, 9424, 23269, 506, 77188, 2200, 3069, 8903, 98055, 2882, 7746 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 37826, 6, 5, 163139, 220224, 1211, 43649, 54260, 61397, 2205, 36324, 13845, 107581, 10339, 21106, 1211, 4, 6235, 13982, 33716, 148346, 54260, 4838, 6, 148346, 25207, 2050, 7265, 9424, 238144, 6, 223390, 6093, 5, 7369, 37826, 7265, 4838, 6235, 119718, 710, 101608, 2190, 39248, 905, 98071, 4484, 54260, 18415, 2882, 192956, 874, 39083, 6235, 2882, 75230, 29659, 220224, 1211, 43649, 54260, 99766, 364, 41595, 6093, 10676, 6, 172060, 148346, 7972, 81050, 6, 4, 3056, 23173, 54260, 1211, 2205, 6, 148346, 710, 148346, 7972, 64260, 37016, 10918, 46685, 110573, 10069, 564, 2884, 6428, 99766, 1211, 7746, 1470, 54260, 57619, 77525, 53414, 4, 2200, 710, 109636, 16932, 37826, 7369, 7746, 6, 190135, 292, 7265, 1285, 364, 35596, 1470, 75230, 33225, 22444, 38249, 2200, 144754, 4838, 56170, 31249, 120467, 65482, 2050, 1470, 75230, 92904, 43082, 2205, 41764, 12130, 292, 17190, 148346, 1211, 6, 148346, 6093, 172398, 1211, 2200, 506, 64260, 41764, 134193, 7746, 3069, 8903, 98055, 2882, 6, 4, 163139, 36324, 75230, 874, 26, 148346, 48904, 54260, 2882, 7746, 7265, 10676, 224252, 15529, 96302, 5, 5332, 22426, 13159, 2205, 70845, 37826, 6235, 225975, 2882, 12, 137, 506, 186955, 12, 4838, 40920, 17310, 38, 6, 73381, 29771, 107581, 12, 2648, 120467, 37826, 4838, 1751, 54260, 14540, 3069, 20033, 2909, 3373, 155, 506, 64260, 70845, 132025, 8903, 43375, 2882, 1285, 6, 148346, 26612, 29659, 710, 188201, 48904, 17310, 3120, 4838, 3523, 54260, 6093, 657, 54260, 2648, 5666, 95494, 23741, 6, 148346, 26612, 8300, 75230, 148346, 6093, 17310, 4, 3944, 148346, 4113, 5, 7243, 4838, 83182, 3131, 35189, 3131, 22426, 54196, 7746, 4838, 6, 98071, 214766, 2205, 10339, 71804, 4944, 212394, 119055, 13845, 12984, 3373, 186145, 23741, 101251, 8903, 120749, 6, 148346, 54260, 2050, 7369, 29659, 1211, 6, 148346, 105330, 230764, 4838, 874, 54260, 55546, 4838, 87311, 69452, 10339, 75230, 1644, 5, 364, 183718, 6, 78683, 2050, 205416, 33225, 37826, 11211, 148346, 6293, 6, 148346, 26612, 506, 6093, 29659, 1285, 19532, 59919, 119718, 40920, 5, 4838, 6, 73381, 13497, 192956, 2442, 6235, 68380, 32, 137377, 8903, 212484, 65482, 3523, 54260, 61397, 7682, 15907, 37826, 7243, 6, 112452, 198754, 2200, 7243, 6319, 54260, 1211, 6319, 48775, 23741, 160037, 97634, 2865, 59929, 6, 212915, 13342, 2050, 6, 148346, 165592, 31623, 1211, 5, 6, 212484, 2882, 205026, 95455, 160204, 38, 292, 37826, 7369, 6235, 225975, 2882, 9424, 119718, 65689, 10069, 9424, 54260, 1211, 2200, 4151, 71107, 37826, 220273, 219947, 6235, 506, 40096, 6, 94741, 39340, 15388, 5, 874, 26, 506, 64260, 113889, 4667, 4838, 12023, 35044, 6235, 2882, 48904, 56169, 6, 148346, 54260, 2050, 19302, 48904, 2932, 3120, 3944, 4944, 18415, 1751, 46545, 44779, 6, 4, 119055, 13845, 107581, 6093, 37826, 132025, 8903, 13982, 54260, 2882, 6, 4, 874, 26, 506, 64260, 1470, 75230, 4667, 56170, 71804, 63532, 125523, 1470, 54260, 1211, 6235, 170355, 23405, 3111, 46685, 4, 4838, 18133, 29060, 3120, 6, 47351, 120202, 123073, 4, 1285, 6, 148346, 23173, 78683, 90848, 28726, 3120, 137, 506, 29771, 7201, 2865, 183718, 4151, 8300, 54260, 1644, 109226, 2004, 119055, 13845, 107581, 3056, 6235, 159696, 1211, 6235, 3111, 2932, 3944, 148346, 44779, 27702, 61621, 1470, 75230, 6093, 5, 119055, 12483, 6093, 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 ]
[ 77208, 171665, 1644, 72507, 56170, 101296, 40920, 95455, 54745, 21733, 4, 3056, 4151, 71107, 4838, 159696, 4484, 657, 54260, 40920, 2808, 75230, 111137, 141356, 77188, 2200, 162726, 75230, 35189, 213952, 230764, 6, 186461, 73486, 215726, 4, 120202, 72631, 905, 12483, 5, 4151, 75230, 6293, 506, 64260, 7369, 6, 57277, 39340, 6235, 119718, 23173, 2882, 5, 220224, 151614, 148346, 1211, 6235, 212484, 2882, 364, 41595, 6093, 7746, 6, 21106, 7611, 67826, 1211, 92500, 3944, 15388, 4, 95455, 123736, 7201, 65482, 6, 113889, 55546, 172060, 126968, 28726, 4, 1285, 6, 21106, 148346, 905, 36258, 2200, 1285, 6, 26394, 119718, 29766, 7201, 65482, 162726, 40096, 1211, 5, 95455, 3056, 6235, 159696, 1211, 220224, 6093, 43649, 54260, 61397, 5, 7369, 37826, 7746, 8903, 101296, 40920, 34076, 54260, 4667, 163139, 7369, 119055, 39083, 2882, 7265, 8903, 240863, 12483, 7265, 220224, 4, 123736, 148346, 6093, 230764, 1285, 186145, 22426, 3056, 7369, 6, 148346, 41643, 2648, 4838, 159696, 4484, 3120, 22753, 4, 3056, 98252, 6, 23173, 8580, 2205, 3373, 21106, 68558, 4, 506, 64260, 564, 23173, 101296, 40920, 76961, 16175, 52541, 2200, 7369, 3056, 6428, 99766, 1211, 6235, 148346, 7972, 148346, 1211, 6, 148346, 15533, 364, 21106, 148346, 148346, 710, 76776, 40920, 6, 4, 1751, 57277, 24152, 56170, 3111, 51723, 5, 6093, 37826, 74806, 1644, 120467, 1211, 6319, 84577, 95494, 16803, 7265, 4151, 24012, 6093, 136645, 506, 37826, 10705, 2865, 8903, 29659, 77188, 190800, 8903, 98055, 2882, 10676, 4269, 48904, 64213, 2190, 18250, 4, 10676, 87481, 186955, 564, 2884, 10069, 24377, 123073, 6, 21106, 148346, 905, 51723, 12, 2181, 4231, 49008, 6235, 905, 12483, 3069, 13845, 6293, 6, 21106, 51723, 2205, 6, 18250, 54260, 1982, 29766, 101296, 28320, 2200, 148932, 3120, 220224, 37826, 6, 84577, 234221, 9424, 159696, 108968, 162726, 40096, 13159, 5, 506, 5047, 4838, 3373, 4667, 3120, 1285, 6319, 54260, 28726, 15949, 39340, 4, 1751, 119718, 23173, 26394, 6, 61397, 34365, 18415, 162726, 40096, 13159, 220224, 49008, 6235, 159696, 1211, 16175, 137377, 1644, 4852, 54260, 46545, 15, 219947, 6, 148346, 1644, 75230, 4852, 4, 1054, 54260, 1644, 107189, 67826, 75290, 220224, 49008, 23173, 710, 148346, 6093, 1470, 75230, 4667, 230764, 4151, 221895, 2442, 220224, 2882, 133190, 3373, 26, 68313, 6235, 159696, 1211, 4838, 4269, 48904, 89930, 54260, 162726, 40096, 13159, 6, 4, 119055, 10705, 3373, 26, 4852, 54260, 49008, 230764, 6, 148346, 54260, 20315, 215594, 1211, 6235, 159696, 1211, 56170, 3131, 54260, 2648, 65482, 170355, 12984, 247, 3056, 95455, 6235, 159696, 1211, 4838, 6319, 39083, 37016, 42180, 7265, 1751, 54260, 23269, 6, 170355, 12984, 4, 199145, 3056, 14004, 113889, 5927, 54260, 148346, 33718, 6093, 6235, 159696, 1211, 72577, 190800, 13342, 98055, 1211, 2200, 199145, 37826, 6, 26394, 9719, 29659, 5, 6093, 37826, 1470, 75230, 2702, 8903, 3131, 22426, 710, 21295, 4838, 6, 105780, 6293, 92500, 8300, 119718, 48904, 10918, 4484, 6, 170355, 12984, 5, 110573, 10069, 7243, 3069, 29659, 53414, 2200, 874, 26, 4852, 39083, 70845, 7243, 364, 53414, 6, 148346, 54260, 76776, 40920, 6, 4, 37826, 7369, 7746, 6, 148346, 48904, 905, 56169, 144754, 4838, 6, 56052, 657, 54260, 4944, 18415, 6, 113889, 55546, 12483, 4, 119055, 13845, 107581, 151614, 148346, 1211, 67826, 44478, 6235, 101296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40920, 10676, 21733, 48904, 2932, 5, 123736, 148346, 6093, 95455, 3056, 6319, 75230, 2050, 6235, 159696, 1211, 6, 47351, 4838, 40920, 60403, 4151, 69355, 199145, 2702, 26, 506, 64260, 7746, 6235, 148346, 213783, 4, 874, 26, 4852, 39083, 8947, 1470, 75230, 2702, 80453, 33809, 119718, 1211, 2200, 6235, 159696, 20911, 10676, 3149, 38596, 5, 56170, 364, 54260, 13497, 37826, 6235, 192575, 2882, 220224, 1211, 6235, 3111, 2932, 190800, 13342, 98055, 1211, 22639, 35189, 2932, 18167, 1285, 15231, 21338, 12483, 2200, 6, 148346, 1644, 75230, 4852, 16175, 54260, 1644, 2865, 39083, 230764, 4838, 41764, 12415, 119718, 9213, 148346, 6093, 8903, 148346, 1211, 10676, 6319, 119273, 1644, 35189, 3523, 75230, 148346, 6093, 148346, 23173, 2932, 73073, 10069, 165284, 24621, 4269, 48775, 69096, 6, 4, 110573, 10069, 3069, 4151, 506, 53414, 4838, 19302, 48904, 2932, 5, 56170, 1211, 1470, 75230, 2932, 37826, 51723, 10676, 130170, 3131, 54260, 2648, 2205, 1285, 364, 23173, 18415, 4269, 50622, 22426, 1644, 40096, 13159, 6235, 104149, 6, 148346, 1644, 75230, 4852, 37729, 35189, 56170, 148346, 123329, 5332, 46545, 29060, 2205, 9424, 35596, 68550, 2200, 37729, 28415, 220273, 219947, 5, 1470, 54260, 23269, 68313, 6235, 159696, 1211, 64769, 44779, 3069, 4151, 221895, 2442, 1470, 23174, 48904, 64213, 15, 29771, 35189, 7243, 22639, 2648, 119859, 57619, 1211, 16, 6, 148346, 15533, 1211, 159308, 6235, 120749, 6, 148346, 93704, 87442, 7265, 192183, 26394, 120580, 40697, 9424, 54260, 29226, 5, 2200, 7201, 99766, 151614, 148346, 1211, 6, 64260, 10069, 10339, 54260, 23269, 657, 45619, 13159, 6, 148346, 26612, 234221, 2205, 7746, 110573, 44478, 7972, 6, 97933, 3120, 192575, 7682, 1285, 34076, 7682, 192956, 1470, 54260, 5666, 7201, 21106, 1211, 3120, 76961, 21776, 25222, 239162, 1211, 2205, 4151, 119166, 16803, 4, 2808, 75230, 46053, 6, 148346, 119273, 1211, 185527, 9213, 148346, 6093, 8903, 8903, 148346, 1211, 5, 46598, 3056, 6428, 99766, 1211, 6235, 159696, 1211, 4838, 67882, 36419, 1470, 33809, 159696, 2442, 29631, 13159, 2200, 1470, 54260, 179561, 23269, 21087, 112595, 171433, 40697, 6, 170355, 12984, 74806, 22426, 710, 21295, 3120, 6, 148346, 23173, 710, 188201, 6, 29766, 39340, 82576, 2702, 4, 199145, 220224, 123073, 6, 116174, 93497, 151614, 148346, 1211, 4838, 16804, 5, 6, 51437, 64260, 7746, 6235, 8300, 75230, 15388, 4838, 657, 48904, 8903, 7508, 54260, 7265, 7972, 35189, 130170, 1211, 4838, 88660, 2865, 22426, 48904, 710, 96302, 3120, 6319, 71804, 119718, 9221, 5, 8947, 151614, 148346, 1211, 220224, 6235, 4852, 109226, 23173, 15231, 119364, 3120, 17824, 75230, 36419, 120202, 150839, 54260, 168155, 5, 3373, 26, 4852, 54260, 49008, 81444, 6235, 159696, 1211, 9213, 7972, 35189, 6, 4, 119055, 13845, 107581, 220224, 49008, 6235, 159696, 1211, 4838, 116486, 108264, 2882, 3120, 364, 75230, 104238, 6, 148346, 26612, 119718, 10705, 16803, 30473, 29171, 6093, 6, 149364, 905, 43178, 192956, 2442, 119166, 16803, 6, 4, 9213, 41764, 134193, 4113, 10339, 39083, 13805, 26, 7972, 35189, 4, 163139, 1470, 75230, 4667, 36324, 13845, 107581, 199145, 220224, 49008, 6235, 159696, 1211, 9424, 119718, 65689, 1285, 2200, 4231, 65482, 5, 95455, 220224, 49008, 6235, 159696, 1211, 116486, 108264, 28320, 3120, 4269, 54260, 175483, 6093, 119166, 16803, 6, 4, 123736, 148346, 6093, 1470, 75230, 111137, 7201, 59929, 2882, 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 ]
[ 6235, 234221, 16175, 32097, 92500, 7369, 16667, 2882, 123959, 6, 109995, 2200, 123959, 4269, 54260, 16803, 3120, 10339, 39083, 4484, 5, 95455, 220224, 49008, 6235, 159696, 1211, 4484, 171127, 192956, 10339, 39083, 13805, 7972, 35189, 4, 1470, 75230, 148346, 874, 26, 88660, 1211, 36324, 75230, 6, 225975, 1211, 4, 2200, 4151, 148346, 54260, 159308, 119718, 99766, 137, 4484, 171127, 44779, 155, 7243, 6, 172060, 8903, 6, 148346, 171665, 61722, 3069, 220224, 1211, 220224, 6093, 364, 23173, 10918, 16580, 2882, 5, 1470, 54260, 1211, 7972, 2648, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6235, 17268, 49008, 6, 4, 199145, 2205, 70845, 6, 148346, 26612, 88660, 13497, 6235, 159696, 1211, 69355, 192544, 238144, 74004, 75230, 6293, 6, 4, 182261, 123736, 148346, 6093, 37826, 7369, 4151, 46590, 2882, 4151, 13342, 4838, 192556, 850, 2648, 125897, 3944, 148346, 4113, 5, 6, 159696, 15388, 10676, 119055, 29060, 125523, 6, 4, 4838, 67223, 4, 6, 104378, 3069, 7508, 54260, 2648, 5, 199145, 125523, 68313, 6428, 99766, 6235, 159696, 1211, 84475, 1470, 54260, 105405, 44779, 292, 199145, 3056, 6428, 99766, 7243, 6235, 159696, 1211, 705, 4838, 12415, 13159, 564, 2884, 120202, 6093, 13159, 3056, 6428, 99766, 1211, 6235, 159696, 1211, 9213, 148346, 53414, 364, 186955, 5, 4838, 2808, 41595, 6093, 76776, 10918, 232187, 44478, 3496, 29766, 3120, 6, 148346, 23173, 710, 188201, 6, 201237, 93497, 2200, 6, 201237, 6093, 100810, 6, 148346, 26612, 21847, 54260, 2882, 3120, 4838, 1285, 131002, 29060, 1470, 54260, 23405, 20616, 186955, 65482, 2050, 6, 29766, 39340, 82576, 4, 37826, 1470, 75230, 2702, 8903, 3111, 56169, 1285, 364, 75230, 4667, 8903, 113687, 18415, 874, 124470, 5927, 3120, 220224, 123073, 67826, 51723, 4, 110573, 10069, 1470, 75230, 2702, 13342, 215629, 23173, 710, 13159, 6, 4, 18133, 213783, 4, 4269, 48904, 26394, 6, 183718, 75322, 148346, 75386, 8300, 65482, 2702, 3120, 1285, 56170, 3131, 54260, 2648, 65482, 6235, 105405, 1211, 92500, 5332, 204403, 4944, 13159, 3120, 65146, 7682, 21106, 65689, 32887, 40096, 6093, 5, 132025, 8903, 506, 75230, 148346, 1211, 3120, 4151, 7508, 144532, 2702, 29771, 2865, 59929, 6, 212915, 4, 4151, 9424, 75230, 75578, 1982, 23173, 5666, 87, 5, 134186, 16, 139305, 97634, 2865, 59929, 6, 212915, 2648, 123329, 1751, 54260, 5927, 54260, 125830, 2702, 59919, 4113, 7265, 11265, 17824, 75230, 2702, 92500, 1644, 54260, 40920, 506, 23173, 10918, 75290, 6, 148346, 26612, 2932, 54260, 82576, 158652, 54260, 2882, 6, 4, 6, 148346, 15533, 3069, 4838, 6428, 54260, 48253, 7201, 39083, 152194, 52480, 192956, 2442, 6, 159696, 21295, 3120, 657, 31623, 9134, 92500, 54745, 87311, 142170, 2200, 6, 148346, 15533, 4151, 32054, 48904, 8300, 75230, 4852, 152185, 17824, 75230, 101608, 2200, 224220, 152185, 120202, 123073, 5, 10918, 3056, 1751, 75230, 1211, 4151, 144754, 6235, 159696, 1211, 6235, 188301, 2882, 705, 123736, 6, 4, 3523, 54260, 1211, 5, 3373, 26, 68313, 125523, 6235, 240863, 12483, 4838, 68248, 506, 3120, 6, 78683, 46685, 192575, 7682, 4, 3120, 6319, 119718, 23173, 18415, 28320, 2200, 81414, 120467, 4, 3120, 2808, 171127, 15529, 96302, 21106, 4113, 3373, 39083, 171433, 73136, 53414, 56170, 163139, 39083, 8580, 6, 4, 163139, 39083, 35596, 3131, 13845, 4, 46654, 54260, 2882, 4, 8903, 170355, 23405, 3111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46685, 1211, 56170, 192183, 89930, 2882, 133190, 56170, 163139, 39083, 8580, 84475, 46654, 54260, 2882, 2200, 7508, 54260, 1211, 22426, 710, 48904, 34533, 40697, 223229, 1211, 5, 1751, 75230, 1211, 120202, 238197, 6, 159696, 15388, 1285, 41764, 134193, 4113, 193042, 70598, 54260, 1644, 17310, 186436, 22426, 1644, 213783, 6, 4, 162726, 40096, 1211, 4, 2205, 119055, 13845, 107581, 6, 51437, 29771, 148346, 1211, 7746, 1470, 54260, 5666, 8903, 84316, 56169, 19302, 71512, 1470, 75230, 7201, 3131, 22426, 15350, 29766, 39340, 82576, 2702, 2200, 3069, 119055, 13845, 107581, 18225, 37826, 6235, 2648, 23173, 23741, 17824, 4113, 148346, 123073, 6, 113889, 55546, 12483, 6, 148346, 48904, 34365, 1211, 5, 506, 183718, 6319, 59929, 205416, 22426, 37826, 95455, 6, 21106, 7611, 190800, 8903, 98055, 2882, 6, 4, 37826, 8947, 6235, 29766, 2648, 13497, 6, 4, 37826, 4838, 16175, 54260, 1644, 4151, 69355, 4, 117902, 2442, 188301, 7746, 1470, 54260, 5666, 170355, 2050, 292, 1470, 75230, 2702, 8903, 80453, 33809, 119718, 2882, 1470, 75230, 33225, 224252, 15529, 96302, 6, 4, 119055, 13845, 104238, 37826, 4151, 8580, 1470, 75230, 111137, 159696, 20911, 76961, 148346, 1211, 3120, 6319, 71804, 183216, 5, 7369, 3056, 6235, 240863, 12483, 620, 29771, 33225, 7265, 4838, 364, 54260, 46053, 6319, 137377, 92605, 14303, 40096, 36324, 75230, 145813, 29060, 6, 4, 163139, 125523, 4151, 184639, 73095, 56401, 7265, 10676, 56170, 29659, 29766, 148346, 65482, 2050, 67882, 710, 119273, 29060, 65689, 18133, 148346, 15529, 35189, 4, 41764, 710, 16932, 6, 109636, 4113, 149364, 88660, 61621, 4, 2200, 6, 150839, 64260, 3120, 9424, 238144, 6, 148346, 15533, 22753, 148346, 1211, 6235, 54574, 177148, 6, 159696, 15388, 10676, 110573, 13456, 47890, 36326, 177243, 5, 7369, 37826, 95766, 82563, 2050, 6235, 104149, 6, 4, 163139, 3373, 26, 13982, 54260, 2882, 7746, 4838, 29434, 54260, 22426, 7972, 18415, 4838, 68550, 10676, 9424, 71577, 1211, 4, 3131, 151227, 4, 36324, 874, 26, 506, 64260, 36324, 3131, 7243, 4151, 104149, 4, 2200, 4151, 148346, 54260, 67826, 1644, 4, 2205, 4838, 148346, 26612, 159696, 2932, 17310, 4, 199145, 3056, 6, 148346, 26612, 3131, 57277, 49008, 7243, 6, 148346, 1644, 75230, 4852, 2205, 10676, 163139, 2442, 148346, 50853, 133671, 3131, 226112, 2050, 4838, 68550, 92500, 23173, 14088, 133190, 1470, 75230, 4667, 2205, 4838, 874, 142429, 59461, 220224, 46545, 6093, 3496, 119718, 21106, 63188, 7682, 54260, 2882, 6, 4, 5332, 22426, 13159, 36324, 75230, 4, 4269, 32792, 163139, 4151, 6, 195054, 135118, 29766, 46598, 7265, 4151, 6, 113889, 55546, 4, 10705, 13497, 6093, 119055, 13845, 12984, 8947, 37826, 7746, 6235, 13982, 54260, 2882, 6, 4, 119055, 39083, 2882, 6, 148346, 26612, 104378, 6, 47351, 895, 59929, 147502, 17190, 148346, 16870, 125897, 6, 148346, 59929, 186461, 21295, 4484, 54260, 2882, 5, 95455, 37826, 6235, 2648, 41595, 163139, 3373, 26, 506, 64260, 7746, 2808, 75230, 2702, 8903, 119718, 15533, 1211, 6, 4, 3069, 4151, 506, 75230, 148346, 1211, 10676, 163139, 148346, 90848, 97634, 155, 2200, 10676, 117902, 2442, 97634, 96302, 29771, 710, 155, 69355, 1285, 34654, 55546, 12483, 2200, 3120, 1285, 115556, 192956, 67826, 51723, 5, 81444, 4667, 3056, 8947, 6235, 148346, 7972, 148346, 1211, 101251, 148346, 26612, 23847, 75230, 7201, 44779, 292, 2205, 82563, 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 ]
[ 4838, 73486, 40096, 36324, 75230, 163139, 230764, 4151, 119055, 26612, 4667, 292, 119718, 710, 36324, 75230, 95455, 6, 148346, 1644, 75230, 39293, 22444, 38249, 7746, 230764, 4838, 151614, 38054, 127684, 3944, 142170, 9213, 148346, 6093, 6, 47351, 2808, 1285, 21422, 16932, 213952, 54260, 2882, 5, 1639, 710, 95455, 112216, 24621, 192956, 9213, 148346, 6093, 2932, 54260, 1211, 3120, 1470, 54260, 1211, 160204, 73784, 9424, 238144, 28320, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 156918, 92605, 71616, 65689, 364, 75230, 119425, 75230, 2050, 6319, 68558, 6, 148346, 1644, 75230, 4852, 7265, 4151, 11211, 108968, 3120, 10676, 364, 54260, 21338, 2205, 35189, 14856, 2865, 148346, 48775, 23269, 9213, 148346, 6093, 8903, 148346, 1211, 36324, 13845, 107581, 7508, 54260, 4667, 88660, 2865, 22426, 7972, 138194, 18415, 6319, 71804, 183216, 159696, 1644, 107581, 151614, 148346, 1211, 132025, 8903, 46590, 2882, 95455, 4269, 54260, 175483, 4113, 1470, 75230, 6093, 37640, 66293, 620, 29771, 7201, 213952, 1211, 5, 2808, 75230, 6293, 3069, 87311, 48974, 16667, 3056, 7369, 6, 148346, 26612, 8300, 54260, 2882, 16667, 163139, 35189, 4838, 159696, 4484, 2205, 3373, 21106, 68558, 113889, 4667, 56170, 1211, 40026, 3131, 46545, 37826, 7746, 6428, 99766, 1211, 4838, 159696, 4484, 8903, 39293, 56169, 7265, 56170, 1644, 54260, 2932, 18415, 364, 35596, 2205, 4838, 165284, 1644, 2200, 6235, 212484, 2882, 1470, 75230, 7201, 201237, 12483, 37640, 66293, 27855, 177243, 4838, 506, 6093, 28726, 12984, 6, 148346, 23173, 15907, 68558, 6, 4, 119055, 13845, 12984, 3373, 26, 506, 64260, 4838, 88660, 2865, 22426, 48904, 54196, 4838, 364, 23173, 55823, 12, 137, 159696, 1211, 4944, 26, 98055, 205026, 40611, 2205, 6, 64260, 20315, 2050, 1470, 54260, 20315, 67873, 30109, 54260, 4852, 155, 292, 1285, 364, 23173, 55823, 37826, 6235, 21733, 109226, 1470, 23174, 48904, 64213, 3523, 40096, 9221, 44779, 74, 4838, 7243, 8903, 61541, 105235, 2200, 7243, 7201, 23173, 2865, 127684, 18415, 364, 23173, 33225, 3131, 22426, 15350, 37826, 4151, 224252, 15529, 96302, 6, 23173, 75230, 2702, 8903, 212484, 2882, 4838, 89642, 35189, 115556, 192956, 2442, 43649, 448, 6, 4, 119055, 13845, 107581, 2205, 7746, 6, 26394, 119718, 92605, 46053, 4, 37826, 6235, 506, 75230, 40920, 4, 23173, 46545, 15096, 54196, 292, 21934, 73784, 4151, 29659, 75230, 13497, 119055, 53414, 5, 3373, 26, 95766, 220273, 230764, 4151, 159696, 21295, 7243, 6235, 159696, 1211, 5332, 22426, 13159, 9424, 77188, 192956, 2442, 163139, 4151, 18133, 29060, 3120, 4838, 6, 87311, 35189, 59461, 9213, 57277, 7972, 161829, 6093, 120202, 123073, 4, 119055, 13845, 12984, 364, 183718, 6319, 59929, 205416, 22426, 37826, 6235, 212484, 2882, 1470, 75230, 7201, 3131, 22426, 159993, 4151, 113889, 4667, 74, 163139, 4231, 114436, 27702, 3131, 54260, 2648, 114436, 2200, 364, 23173, 10918, 75290, 8903, 86070, 101080, 13159, 9424, 119718, 65689, 10676, 6, 159696, 21295, 148346, 23173, 52480, 28320, 32887, 5666, 29766, 199145, 3056, 36324, 75230, 84087, 8903, 159696, 1211, 56170, 186145, 28320, 2205, 1285, 6, 21106, 148346, 905, 51723, 6, 4, 2200, 4838, 4269, 212484, 506, 13845, 1211, 4, 22753, 46053, 65902, 119132, 3373, 137377, 48775, 1211, 74, 163139, 220224, 1211, 915, 568, 13, 134699, 347, 246, 6, 5, 20251, 44150, 5, 534, 106, 1054, 5675, 19, 92500, 11265, 29288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 22753, 36419, 4, 48277, 142429, 40697, 19302, 54260, 23269, 10339, 48775, 39293, 4, 7265, 119055, 13845, 104238, 30473, 37826, 70845, 120202, 8903, 35596, 59919, 2882, 27, 506, 183718, 6319, 59929, 205416, 22426, 37826, 1470, 75230, 111137, 10918, 16932, 2882, 6, 4, 119055, 29766, 46598, 364, 41595, 6093, 70845, 37826, 4852, 18167, 6235, 73381, 13497, 1285, 16175, 9221, 5, 4151, 364, 75230, 22680, 40096, 37826, 3069, 70845, 6, 23173, 23174, 37016, 905, 20911, 5, 7369, 68313, 74806, 57277, 49008, 4838, 6, 238144, 28726, 2205, 220224, 1211, 65902, 207591, 1211, 67882, 177282, 6, 4, 7265, 21776, 2050, 49920, 2442, 6093, 1644, 2205, 6, 148346, 60071, 158652, 79238, 65482, 2200, 364, 186955, 213952, 1285, 19302, 75322, 39340, 2205, 4151, 364, 84577, 6, 4, 506, 64260, 7369, 3069, 8903, 3131, 218241, 21295, 364, 183718, 6319, 59929, 205416, 22426, 1211, 5, 4231, 114436, 37826, 6235, 35596, 59919, 2882, 7265, 26612, 1751, 218241, 1644, 9213, 148346, 6093, 1285, 6, 92605, 35044, 12483, 5, 6, 148346, 21106, 2648, 4151, 113889, 4667, 3056, 10676, 27855, 17748, 6, 148346, 1644, 75230, 148346, 92605, 7682, 41764, 12130, 7265, 4151, 220224, 46545, 56170, 121865, 114436, 119055, 29771, 16667, 56170, 3131, 119718, 10705, 16747, 1211, 364, 41595, 6093, 4151, 3069, 8903, 101296, 4944, 16932, 16175, 9221, 2200, 364, 183718, 6319, 59929, 205416, 22426, 37826, 7746, 163139, 35189, 139449, 3069, 10676, 101251, 8903, 39293, 65482, 2050, 3944, 148346, 4113, 22426, 29766, 1644, 220224, 119132, 6, 4, 199145, 37826, 6, 23173, 75230, 2702, 8903, 8903, 148346, 1211, 36324, 13845, 107581, 1751, 54260, 23269, 6319, 71804, 183216, 5, 710, 33960, 148346, 20033, 1285, 364, 84577, 4, 874, 54260, 1211, 19302, 54260, 23269, 5, 39425, 97634, 2865, 59929, 6, 212915, 3131, 109636, 16932, 4, 2205, 6, 86138, 3120, 166464, 4, 125523, 7265, 29771, 2932, 4, 6, 113889, 12984, 123736, 119718, 194734, 46053, 4, 506, 64260, 7369, 6235, 506, 40096, 3069, 506, 6093, 6093, 6, 148346, 36326, 609, 7369, 37826, 1470, 75230, 111137, 3131, 22426, 710, 21295, 199145, 506, 29771, 148346, 1211, 7746, 6235, 2882, 75230, 29659, 1470, 75230, 148346, 874, 26, 4852, 39083, 70845, 4838, 79981, 7243, 6, 148346, 26612, 236376, 1211, 56170, 4838, 13342, 506, 6093, 6093, 6, 4, 133190, 5, 56170, 4838, 6235, 68380, 8903, 148346, 6093, 5, 6, 149364, 4852, 43178, 44779, 3056, 7369, 6235, 159696, 1211, 8903, 5666, 54260, 98833, 3069, 6, 64260, 35189, 1470, 75230, 7201, 7201, 59929, 17310, 5, 4151, 71107, 37826, 8947, 70845, 56170, 26217, 49008, 230764, 36324, 75230, 86070, 4, 230764, 163139, 21066, 874, 26, 506, 64260, 6, 148346, 21106, 2648, 3120, 132025, 506, 54260, 148346, 18330, 171665, 448, 8903, 159696, 1211, 7265, 67826, 139962, 238144, 15388, 230764, 220224, 1211, 6, 84577, 31249, 120467, 114436, 7508, 39083, 3120, 56170, 119718, 21106, 16932, 2200, 11211, 16932, 3120, 10676, 4838, 122868, 63593, 54260, 119132, 224252, 15529, 96302, 5, 8947, 37826, 64260, 10069, 115374, 220273, 219947, 6235, 88660, 16803, 5, 119055, 29766, 46598, 7243, 6235, 98055, 2882, 230764, 220224, 35189, 1470, 54260, 148346, 6093, 21066, 4113, 4944, 192956, 2442, 6, 84577, 10918, 4484, 17310, 6, 4, 6, 148346, 14236, 4231, 114436, 120202, 2932, 64260, 4151, 32887, 113889, 17800, 64260, 7746, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26394, 2932, 120467, 1211, 2205, 220224, 1211, 4269, 48904, 89930, 41764, 48775, 40920, 4, 6, 148346, 14236, 1285, 6, 159696, 21295, 148346, 26612, 21847, 7682, 213952, 4113, 43649, 448, 37826, 657, 54260, 2648, 5666, 95494, 23741, 44779, 9424, 79238, 23822, 186955, 7746, 2205, 213909, 175221, 171428, 155, 92500, 2205, 364, 75230, 104238, 119166, 16803, 6, 4, 292, 7243, 6235, 98055, 2882, 230764, 4151, 4269, 48904, 89930, 6, 84577, 10918, 4484, 17310, 119055, 13845, 107581, 220224, 151614, 148346, 1211, 364, 75230, 4667, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 4, 151614, 148346, 1211, 220224, 7243, 6235, 506, 40096, 35189, 13342, 6319, 54260, 1211, 69529, 3944, 148346, 4113, 2200, 151614, 148346, 1211, 4151, 7201, 23173, 99509, 29659, 188301, 18330, 171665, 448, 6235, 159696, 1211, 6, 4, 2702, 26, 4852, 39083, 7746, 9934, 29766, 15388, 6, 159696, 15388, 10676, 119055, 6093, 3373, 26, 119718, 15350, 5, 364, 183718, 6319, 59929, 205416, 22426, 3056, 6235, 4113, 159696, 1211, 4151, 4, 199145, 37826, 6235, 234221, 2205, 123736, 38054, 43178, 17310, 10676, 2190, 18250, 3120, 41764, 710, 40096, 13159, 4, 199145, 37826, 132025, 8903, 25391, 710, 148346, 1211, 10676, 87481, 186955, 3120, 1285, 6, 21106, 148346, 905, 51723, 230764, 35189, 22639, 4113, 238144, 29171, 82576, 220224, 2882, 3120, 1285, 6, 97634, 119718, 1644, 12483, 36324, 75230, 36324, 874, 26, 506, 64260, 6235, 88660, 50778, 16870, 13159, 1751, 46545, 6, 124470, 710, 171665, 6293, 46050, 15388, 657, 75230, 2882, 56170, 71804, 23405, 5, 7369, 37826, 1470, 75230, 4667, 6235, 148346, 21106, 4113, 148346, 174121, 159696, 2882, 9213, 148346, 53414, 224252, 15529, 96302, 5, 874, 26, 506, 64260, 8947, 70845, 6235, 104149, 160204, 7265, 4269, 18167, 13342, 8903, 119718, 75230, 194734, 4, 121193, 71577, 4113, 2200, 9424, 23173, 18415, 6, 148346, 26612, 159696, 2932, 109226, 5, 199145, 119055, 39083, 28320, 221895, 8903, 97634, 1211, 220224, 119055, 39083, 28320, 6319, 21106, 17645, 6235, 101296, 40920, 1285, 162726, 40096, 13159, 7265, 120202, 8903, 3111, 8300, 18415, 3523, 142429, 109316, 1211, 6, 4, 119055, 39083, 28320, 220224, 6235, 212484, 2882, 3944, 15388, 230764, 1285, 165284, 67873, 4, 119055, 39083, 28320, 6235, 101296, 40920, 7201, 75230, 28726, 1751, 46545, 159308, 6, 71577, 23173, 40096, 6, 4, 77985, 4, 6235, 212484, 2882, 657, 75230, 33225, 4838, 45495, 148346, 2882, 109316, 6, 170355, 4667, 144754, 4838, 32887, 2865, 204403, 2200, 160204, 506, 75230, 4667, 3120, 364, 88917, 77188, 9424, 12483, 84475, 220273, 132025, 190135, 20315, 2050, 6, 238144, 168155, 230764, 20632, 1644, 6, 4, 36324, 75230, 36324, 3373, 26, 119718, 39083, 2882, 6, 23173, 75230, 2702, 4838, 11211, 82576, 13456, 81414, 1644, 101328, 35189, 4838, 3069, 8903, 29257, 36326, 18415, 22753, 7201, 89930, 54260, 27, 220224, 151614, 148346, 1211, 95455, 6, 21106, 7611, 1751, 75230, 1211, 6235, 97634, 1211, 5, 4852, 54260, 220224, 49008, 4838, 46590, 905, 6235, 159696, 1211, 6319, 48775, 20260, 6, 4, 123736, 148346, 6093, 6, 148346, 506, 2882, 21106, 5, 4151, 7201, 23173, 6, 57277, 39340, 37826, 506, 183718, 6319, 59929, 205416, 22426, 125523, 4838, 58571, 89930, 9424, 54260, 2882, 1751, 75230, 1211, 6235, 226112, 15388, 41764, 134193, 6, 148346, 54260, 7746, 7972, 2648, 44779, 5, 2442, 6093, 9424, 75230, 148346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6093, 148346, 23173, 2932, 1819, 418, 95766, 115222, 3131, 65482, 10676, 14764, 35044, 3120, 27855, 177243, 6, 4, 119055, 10705, 3373, 26, 4852, 54260, 49008, 6235, 147713, 1211, 1285, 6, 21106, 148346, 905, 51723, 2200, 6, 113889, 55546, 12483, 36324, 75230, 36324, 874, 26, 506, 64260, 70845, 6235, 192575, 2882, 6, 225164, 4, 1470, 75230, 148346, 2007, 64260, 8903, 119718, 39083, 2882, 1470, 75230, 7201, 3131, 22426, 159993, 5, 3131, 109636, 2882, 6, 4, 6, 113889, 12984, 123736, 119718, 13497, 13342, 5666, 75230, 42410, 14088, 4, 6, 113889, 133324, 46598, 163139, 1285, 67882, 36419, 2205, 4838, 159696, 4484, 4, 68313, 6235, 159696, 1211, 56170, 70845, 1285, 6, 148346, 13159, 18415, 9424, 54260, 2882, 5, 241662, 3056, 7369, 6235, 148346, 7972, 148346, 1211, 2205, 2702, 21106, 68558, 6, 4, 84475, 7369, 2205, 6, 148346, 41643, 2648, 98252, 4838, 159696, 4484, 4838, 506, 8580, 2200, 7369, 37826, 4838, 79981, 192575, 31623, 54196, 6, 148346, 8580, 145813, 29060, 2205, 4151, 6, 76776, 40920, 5, 7369, 37826, 7243, 6235, 2648, 23173, 23741, 7038, 18866, 29771, 148346, 1211, 36324, 7369, 119055, 29060, 43649, 53414, 4151, 144754, 1285, 22444, 3120, 4151, 6, 48904, 29659, 186955, 4, 119718, 710, 7369, 37826, 2205, 132025, 506, 54260, 148346, 6235, 2865, 41595, 6, 4, 6, 238144, 1644, 3373, 26, 506, 64260, 7746, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 4, 165592, 874, 26, 506, 77188, 10676, 224252, 15529, 96302, 133190, 6, 119859, 69106, 6, 113889, 35596, 5, 163139, 4151, 29659, 75230, 5666, 188301, 8947, 220224, 49008, 6235, 159696, 1211, 1285, 52059, 850, 2205, 4151, 6, 113889, 35596, 6, 4, 36324, 75230, 220224, 49008, 4852, 54260, 37640, 83182, 238144, 2882, 16667, 6235, 119718, 29766, 1211, 874, 40096, 6, 4, 1751, 119718, 26612, 4667, 2200, 1470, 75230, 2702, 29257, 4944, 16932, 13456, 163139, 4838, 50853, 120467, 4269, 54260, 82576, 506, 26612, 23741, 125897, 5, 364, 183718, 6319, 59929, 205416, 22426, 3056, 6235, 159696, 1211, 4838, 79981, 7265, 1285, 119718, 10705, 83182, 3120, 6, 109995, 6319, 119273, 1644, 9424, 119718, 65689, 1285, 83066, 119055, 35596, 6, 4, 292, 7265, 1285, 6, 148346, 7972, 188301, 4113, 1470, 75230, 23741, 905, 12483, 3120, 10676, 19302, 71512, 2702, 27855, 177243, 3120, 10184, 55546, 506, 39083, 7611, 4, 6, 64260, 155, 20315, 2050, 67882, 48253, 119718, 23173, 64213, 72191, 40096, 14303, 18415, 137427, 6, 4, 199145, 7369, 2205, 6235, 39293, 46053, 230764, 4838, 165284, 1644, 7201, 23173, 220224, 1211, 123736, 7201, 114436, 147582, 2932, 21295, 9221, 4, 1285, 364, 35596, 56170, 1644, 54260, 98833, 4, 10676, 6319, 137377, 1470, 75230, 33225, 92605, 35044, 6, 4, 95455, 107189, 56170, 10813, 4113, 29060, 3120, 10367, 33809, 43590, 5, 6093, 37826, 7243, 6235, 104149, 1285, 6, 201237, 93497, 2200, 1285, 6, 201237, 6093, 100810, 6, 4, 119055, 13845, 107581, 6093, 37826, 221387, 5, 220224, 123073, 6, 149364, 4852, 239162, 1211, 220224, 49008, 6235, 159696, 1211, 2205, 4838, 46685, 125897, 4, 95766, 874, 54260, 212394, 2205, 163139, 1211, 4, 2205, 193042, 185226, 109636, 16932, 148346, 103182, 5, 220224, 16667, 23093, 21106, 148346, 1211, 151614, 148346, 1211, 4852, 54260, 6428, 99766, 1211, 6235, 88660, 13497, 6, 148346, 7972, 148346, 1211, 4, 6, 238144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1644, 95455, 4, 199145, 7369, 37826, 6235, 506, 40096, 3120, 4852, 54260, 6, 4, 3056, 6235, 159696, 1211, 95455, 6, 148346, 13159, 18415, 3120, 220224, 292, 220224, 6093, 43649, 448, 4, 2200, 6, 150839, 64260, 120202, 8903, 95494, 56169, 6, 64260, 10069, 7508, 54260, 29171, 17310, 84475, 4838, 148346, 34575, 92605, 42180, 4, 119055, 13845, 107581, 3056, 8903, 148346, 7972, 148346, 1211, 6235, 3111, 2932, 8248, 5666, 44779, 230764, 3069, 6235, 148346, 1211, 70845, 4838, 221067, 115556, 192956, 88660, 120580, 39083, 4, 4838, 94741, 20260, 10676, 4, 199145, 3373, 26, 506, 29771, 148346, 1211, 6235, 61541, 2882, 76961, 6, 113889, 35596, 4113, 6, 149364, 905, 43178, 192956, 109817, 15050, 4, 212053, 163139, 3496, 26, 506, 64260, 7746, 6235, 506, 183512, 21295, 6, 159696, 15388, 6, 212394, 35044, 54260, 2882, 6, 4, 6428, 54260, 48253, 1211, 5, 874, 26, 506, 64260, 6235, 88660, 13497, 130170, 3131, 54260, 35465, 1285, 1470, 75230, 2702, 3131, 22426, 48775, 4667, 4, 10676, 10069, 21106, 87442, 6, 5, 1285, 364, 54260, 2050, 8903, 105405, 37640, 66293, 6319, 171127, 44478, 5, 4151, 3496, 23173, 129071, 6093, 3120, 220224, 6093, 43649, 448, 37826, 5332, 22426, 13159, 4151, 8300, 54260, 21295, 6, 159696, 15388, 10676, 4269, 54260, 175483, 1211, 119055, 10705, 13805, 3120, 17645, 35465, 1470, 54260, 179561, 119132, 6, 4, 2200, 2205, 10676, 4, 163139, 36324, 75230, 220224, 151614, 148346, 1211, 1470, 75230, 2702, 8903, 3111, 56169, 84475, 56170, 76776, 10813, 13159, 93449, 1285, 204982, 125897, 149946, 6, 21292, 190386, 4113, 4944, 25616, 2882, 37826, 18225, 4838, 60071, 8903, 1819, 304, 97634, 2865, 59929, 6, 212915, 104149, 1285, 874, 212479, 3120, 220224, 6093, 22639, 18415, 7972, 8903, 69106, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 7746, 8903, 6093, 61397, 2882, 6, 4, 6, 148346, 14236, 37922, 72321, 37826, 5332, 22426, 13159, 190800, 8903, 212484, 2882, 230764, 10676, 6235, 148346, 15907, 5, 7369, 37826, 1470, 75230, 4667, 6, 195054, 161577, 2200, 6235, 148346, 21292, 1211, 1285, 3944, 22426, 1211, 3120, 6, 148346, 29260, 506, 6, 4, 119055, 12483, 2702, 26, 68313, 3069, 130991, 4151, 13342, 1285, 101251, 86070, 17494, 74813, 54260, 2882, 3120, 4151, 32887, 30741, 152185, 14004, 148346, 6093, 8903, 148346, 17310, 5, 7369, 3056, 6235, 39293, 46053, 163139, 230764, 6319, 75230, 67873, 6, 4, 119055, 12483, 230764, 6, 47351, 123736, 23741, 8903, 3131, 22426, 15350, 16932, 162726, 174121, 3056, 1470, 54260, 1211, 160204, 6, 23173, 75230, 2702, 6, 95494, 63020, 84475, 3496, 48775, 109636, 119718, 174121, 4, 4838, 6, 170355, 4667, 4, 199145, 37826, 7746, 657, 54260, 40920, 6235, 226112, 33225, 6, 148346, 54260, 364, 75230, 107581, 32054, 75230, 12483, 29659, 710, 5, 51723, 5, 81444, 4667, 37826, 7369, 8947, 6, 139449, 56170, 3944, 148346, 6, 238144, 1644, 3944, 148346, 4113, 65146, 657, 54260, 35465, 5, 2882, 54260, 1644, 2865, 39083, 37826, 7369, 7746, 9213, 148346, 6093, 8903, 148346, 75230, 15388, 9213, 148346, 6093, 10676, 224252, 15529, 96302, 199145, 506, 64260, 7746, 6235, 13982, 54260, 2882, 2200, 6235, 2702, 71577, 29060, 6, 4, 163139, 9213, 148346, 6093, 4838, 17806, 16803, 3120, 6, 148346, 48350, 4, 20315, 2050, 6319, 137377, 2205, 4838, 119055, 39083, 38249, 3120, 6319, 71804, 183216 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 6, 47351, 4838, 83182, 874, 39083, 3056, 7369, 8903, 3131, 57277, 49008, 3373, 23173, 10676, 123736, 55823, 119132, 27855, 177243, 4, 56170, 46464, 4944, 213952, 95455, 49920, 86733, 40697, 34076, 7682, 3120, 4838, 1285, 215206, 35596, 6, 4, 119055, 13845, 104238, 204982, 7265, 6, 47351, 1470, 75230, 111137, 506, 75230, 148346, 114436, 506, 84577, 4838, 6, 226112, 2865, 22426, 54260, 2882, 11265, 6, 120749, 133671, 6, 23173, 54260, 5666, 7201, 29766, 5, 7369, 37826, 6235, 506, 40096, 3944, 148346, 1644, 17310, 2702, 2205, 220224, 1211, 67882, 119859, 56880, 1470, 54260, 29171, 4113, 119055, 218241, 21106, 92500, 2808, 171127, 15529, 96302, 21106, 3111, 46685, 1211, 159696, 1644, 107581, 7369, 3056, 6319, 54260, 5666, 2865, 39083, 7243, 9934, 40096, 6235, 119718, 29766, 1211, 3069, 364, 53414, 5, 20033, 6428, 23173, 33225, 219947, 56170, 61541, 1211, 220224, 1470, 75230, 2702, 72631, 4113, 4944, 171428, 5, 2808, 54260, 65902, 4113, 6, 68566, 109636, 162726, 40096, 1211, 37826, 6, 84577, 234221, 1285, 620, 24244, 4944, 8300, 65482, 2702, 69355, 4838, 117902, 2865, 109636, 168155, 4, 7265, 48277, 142429, 152185, 64890, 15050, 9213, 148346, 6093, 3131, 226112, 2865, 188301, 6093, 137377, 123073, 6, 4, 119055, 13845, 107581, 6, 165436, 64260, 6235, 95494, 33225, 73095, 18415, 2865, 148346, 75230, 21292, 4838, 17824, 75230, 101608, 6, 212394, 2702, 212915, 4151, 6, 21106, 16932, 874, 54260, 82576, 3120, 4151, 29434, 75322, 40096, 152185, 874, 119718, 7682, 37640, 66293, 139939, 4, 159696, 1644, 104238, 37826, 8947, 6235, 95494, 33225, 2205, 4151, 9424, 238144, 16932, 45223, 23741, 3120, 160238, 133671, 101328, 17800, 88917, 77188, 4, 657, 75230, 2882, 4151, 6, 148346, 26612, 105235, 1644, 17310, 3120, 6, 47351, 123736, 12415, 35596, 21106, 65689, 83066, 29659, 4, 148346, 54260, 6, 140746, 6235, 147713, 5927, 54260, 2882, 3120, 9213, 148346, 6093, 8903, 148346, 1211, 4151, 115556, 506, 54260, 2882, 4838, 6, 159696, 24152, 3120, 61541, 75290, 7201, 23173, 148346, 710, 16747, 213952, 6093, 32887, 4944, 20260, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 3120, 212632, 46685, 238144, 29171, 6093, 6235, 119718, 10705, 16803, 6, 159696, 15388, 10676, 6, 4, 7369, 37826, 6235, 88660, 13497, 6, 148346, 4484, 87096, 10676, 40505, 1644, 3120, 6, 48775, 94741, 195164, 6, 4, 123736, 2865, 59461, 21292, 2200, 3120, 1470, 98071, 94741, 4, 119055, 13845, 107581, 151614, 148346, 1211, 70845, 2808, 75230, 6293, 9213, 57277, 7972, 161829, 6, 23173, 75230, 2702, 8903, 4852, 109226, 3120, 6319, 119273, 1644, 4, 2200, 7369, 37826, 4151, 7201, 23173, 6, 119859, 69106, 72577, 56170, 3131, 57277, 49008, 6, 4, 199145, 220224, 6, 225975, 1211, 70845, 12, 292, 4151, 2190, 112595, 23173, 97594, 4944, 192956, 2442, 32887, 5666, 29766, 4, 4151, 70285, 29659, 192956, 2442, 6, 186955, 7265, 10676, 49920, 28726, 12984, 67826, 51172, 710, 148346, 6093, 148346, 90848, 4667, 22639, 35189, 144754, 37640, 66293, 2190, 112595, 48904, 2932, 2200, 4151, 22753, 1644, 148346, 6093, 59461, 3373, 137377, 48775, 1211, 5, 6093, 37826, 7243, 56170, 3131, 57277, 49008, 1470, 15907, 44779, 119055, 99766, 123736, 148346, 6093, 81444, 2200, 6428, 99766, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 1819, 363, 506, 64260, 7369, 7746, 132025, 8903, 29659, 75230, 46053, 236512, 31467, 10676, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 6, 238144, 1644, 7369, 37826, 6235, 88660, 13497, 1285, 21087, 34079, 215726, 4, 2200, 1470, 75230, 4667, 236512, 31467, 220224, 1211, 177157, 22426, 40096, 17645, 56170, 1285, 15857, 34079, 215726, 2702, 5, 220224, 1211, 113889, 35596, 6, 23173, 54260, 5666, 28726, 148346, 1211, 7746, 3056, 6235, 119718, 92605, 46053, 6, 21106, 7611, 28415, 199145, 123736, 7201, 16932, 6, 150839, 64260, 6235, 212484, 2882, 29434, 54260, 12483, 7746, 6, 64260, 10069, 70285, 84475, 6, 105780, 6293, 162726, 40096, 1211, 6, 4, 2200, 8947, 68313, 77208, 171665, 1644, 72507, 4151, 240863, 12483, 3069, 88771, 2648, 123329, 56170, 7972, 148346, 158652, 54260, 2882, 5, 14004, 113889, 5927, 54260, 148346, 151614, 148346, 1211, 6, 48775, 94741, 24621, 1982, 2200, 123736, 2865, 59461, 21292, 6235, 134727, 2882, 9424, 119718, 65689, 7746, 5, 1285, 39340, 110317, 192956, 6, 97634, 4944, 16932, 37826, 6235, 212484, 2882, 190800, 23982, 1211, 56170, 7746, 10676, 6235, 48904, 8903, 119132, 70845, 4, 119055, 13845, 12984, 22753, 37826, 3944, 148346, 6235, 506, 40096, 2200, 1751, 57277, 24152, 6235, 119718, 39083, 2882, 120202, 9221, 174121, 159696, 1211, 56170, 7746, 6, 4, 3496, 64260, 3131, 7369, 37826, 236512, 31467, 4151, 6, 148346, 23173, 148346, 23173, 152185, 108599, 26612, 69355, 74813, 126700, 6235, 159696, 1211, 95455, 10339, 64260, 6093, 212394, 2200, 6, 109995, 6, 123073, 5, 98252, 238197, 6, 4, 3056, 37271, 2882, 32097, 2205, 364, 23173, 7611, 292, 163139, 7369, 37826, 6235, 225975, 2882, 292, 1285, 6, 123073, 6235, 148346, 7972, 148346, 1211, 1470, 23174, 48904, 64213, 7508, 54260, 1211, 2909, 123736, 148346, 6093, 1285, 81444, 4852, 125897, 22639, 6093, 192956, 7508, 54260, 20260, 54260, 2882, 3069, 235210, 12483, 7265, 20315, 2050, 4269, 48904, 64213, 1751, 69127, 8903, 46590, 151614, 148346, 1211, 70845, 6, 238144, 29171, 6235, 506, 39083, 33225, 4, 6, 238144, 1644, 236512, 31467, 220224, 1211, 19302, 29766, 2200, 123736, 33225, 56170, 148346, 25207, 12984, 3056, 7369, 9213, 148346, 6093, 8903, 8903, 148346, 1211, 6235, 119718, 29766, 1211, 95766, 6, 61155, 3120, 4269, 54260, 16803, 28726, 12984, 6235, 120749, 6, 4, 6, 159696, 63849, 4838, 50853, 120467, 115556, 192956, 68313, 129165, 27105, 6235, 159696, 1211, 5, 2200, 95455, 6235, 120749, 119055, 39083, 2882, 70845, 6, 57277, 39340, 6235, 119718, 21292, 219947, 6235, 159696, 1211, 74806, 75230, 13497, 119055, 12483, 7369, 119055, 39083, 2882, 7746, 7243, 6, 148346, 26612, 236376, 123959, 1644, 21660, 28320, 6, 87311, 96302, 4, 6, 18167, 7243, 120202, 8903, 225975, 2882, 7265, 4838, 9915, 20616, 3120, 6, 140746, 38596, 71804, 69355, 2200, 7746, 7243, 6235, 119718, 29766, 33225, 2205, 1285, 123736, 25207, 36258, 37640, 66293, 115222, 110317, 28726, 12984, 6, 186955, 7265, 10676, 43649, 448, 14004, 148346, 6093, 148346, 90848, 4667, 6, 4, 119055, 13845, 104238, 37826, 8947, 4, 34654, 1211, 92605, 71616, 13456, 6, 139449, 4, 36324, 75230, 364, 54260, 105330, 56170, 2648, 41595, 5, 123736, 2865, 8903, 121865, 37826, 7746, 6235, 8903, 148346, 1211, 1285, 1751, 57277, 24152, 80885, 7544, 9213, 148346, 6093, 13342, 8300, 54260, 15388, 10676, 1751, 54260, 1211, 201237, 188301, 1211, 123736, 148346, 77188, 48775, 62073, 7201, 23173, 148346, 1644, 141943, 28320, 2200, 58826, 29260, 103023, 1211, 32887, 5666, 29766, 6, 4, 199145, 37826, 110573 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 92904, 6, 148346, 1644, 75230, 4852, 8903, 4852, 109226, 12, 137, 4944, 26, 88660, 1211, 7243, 155, 2200, 137, 10705, 112304, 34533, 2004, 6, 148346, 14236, 22753, 37826, 70845, 56170, 8300, 238144, 21066, 2882, 6235, 148346, 213783, 4, 7369, 170479, 7746, 120202, 225975, 1211, 3120, 4151, 108599, 23173, 8580, 4, 119055, 12483, 2702, 26, 4852, 39083, 70845, 4838, 46590, 905, 6, 88660, 119364, 95455, 17190, 148346, 1211, 5, 292, 137, 168892, 6319, 68558, 7243, 2909, 292, 37271, 506, 6093, 3069, 125523, 1470, 54260, 1211, 874, 39083, 4, 6, 225975, 1285, 4667, 120202, 3120, 11265, 2909, 292, 137, 10705, 112304, 34533, 2909, 2882, 75230, 2882, 119718, 710, 116604, 125897, 56170, 148346, 1644, 141943, 17310, 2200, 364, 54260, 36419, 6, 21292, 30721, 3120, 3944, 148346, 4113, 151614, 148346, 1211, 7746, 7201, 23173, 2808, 54260, 29171, 2882, 2205, 4838, 18133, 29060, 6, 4, 199145, 3056, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 1751, 54260, 1211, 6235, 159696, 1211, 4, 29771, 148346, 6093, 37826, 7243, 9213, 148346, 6093, 8903, 212484, 2882, 6319, 54260, 1211, 69529, 151614, 55823, 3111, 23405, 5, 73784, 3496, 47890, 37826, 29771, 2865, 59461, 21292, 7265, 11265, 4113, 6, 238144, 97634, 93238, 125897, 1470, 54260, 225164, 6, 148346, 26612, 21847, 54260, 2882, 1285, 1751, 75230, 35189, 44779, 7201, 29766, 24621, 71804, 33716, 125897, 21776, 22426, 105330, 1211, 3120, 4269, 54260, 16803, 28726, 12984, 6235, 120749, 6, 4, 119055, 13845, 107581, 81444, 12483, 120202, 1819, 617, 6, 97634, 2865, 59929, 6, 212915, 8903, 21733, 109226, 32887, 2865, 22426, 3120, 4151, 86510, 161829, 6, 23173, 75230, 2702, 2200, 199145, 4151, 101251, 21847, 7682, 192956, 2442, 6, 48775, 94741, 195164, 37826, 7746, 2205, 220224, 6, 148346, 104383, 7243, 6, 148346, 40096, 54260, 1644, 93449, 5, 2451, 6, 48775, 94741, 195164, 6, 48775, 48775, 195164, 4, 292, 37826, 190800, 23269, 2865, 188301, 6235, 4852, 109226, 4151, 2808, 54260, 148346, 6093, 21847, 3149, 2200, 37826, 70845, 2205, 4838, 6, 95494, 63020, 13342, 8903, 3131, 22426, 31623, 16932, 160238, 2050, 160238, 190135, 6, 148346, 160022, 220224, 1211, 56170, 148346, 25207, 12984, 292, 95455, 56170, 148346, 25207, 12984, 3120, 56170, 2442, 40096, 5, 2451, 56170, 35596, 59919, 1285, 4667, 292, 151614, 148346, 1211, 6235, 7201, 142429, 77188, 2205, 3496, 29766, 76961, 21847, 36484, 5, 92500, 212053, 4151, 17824, 13159, 16932, 3120, 220224, 37826, 132025, 8903, 119718, 15533, 1211, 4, 36324, 6, 48775, 94741, 195164, 3131, 238144, 98833, 6, 4, 37826, 95455, 6235, 120749, 6, 239162, 24152, 35596, 1470, 54260, 110970, 15231, 134067, 4, 36324, 7369, 3056, 113687, 103023, 5, 2451, 6, 48775, 94741, 195164, 4, 6, 48775, 94741, 195164, 12, 292, 37826, 4151, 160238, 30473, 89930, 163139, 35189, 132025, 8903, 506, 75230, 148346, 1211, 5, 292, 18133, 151614, 16803, 56170, 212484, 1211, 1285, 117902, 30473, 42180, 56170, 4151, 620, 26612, 40920, 5, 2451, 56170, 35596, 59919, 1285, 4667, 38, 292, 37826, 18225, 163139, 35189, 6235, 119718, 29766, 13497, 5, 292, 33960, 57277, 6, 98055, 6, 4, 7369, 1751, 238144, 98833, 4, 292, 37826, 4151, 160238, 30473, 89930, 3120, 6235, 120749, 4, 99509, 7265, 7201, 29766, 63864, 2882, 54260, 1644, 4, 163139, 35189, 45521, 16803, 190135, 5, 1470, 75230, 4667, 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 ]
[ 2865, 39083, 151614, 148346, 1211, 7746, 56170, 2808, 54260, 29171, 2882, 76961, 6, 120749, 6093, 29659, 710, 51723, 7265, 220224, 59461, 2205, 10676, 41764, 95564, 122623, 12, 292, 7201, 23173, 2442, 40096, 2451, 6, 48775, 94741, 195164, 6, 4, 6, 48775, 94741, 195164, 292, 37826, 18225, 73784, 29434, 161577, 874, 39083, 221387, 10676, 101251, 148346, 31177, 83811, 103023, 1211, 132025, 4484, 203749, 6093, 5, 292, 18133, 151614, 16803, 6235, 148346, 90848, 12984, 6428, 54260, 1211, 225215, 506, 10676, 10339, 64260, 6093, 212394, 4, 4151, 6, 123073, 2200, 10676, 21374, 110317, 5, 292, 56170, 35596, 59919, 10069, 4667, 38, 292, 37826, 163139, 35189, 75322, 39083, 120202, 8903, 21733, 109226, 5, 2200, 6, 113889, 133324, 46598, 163139, 76961, 6, 120749, 6093, 220224, 49008, 1470, 75230, 7201, 46685, 4484, 170355, 2050, 6235, 119718, 29766, 1211, 4151, 75230, 6293, 6, 4, 36324, 6, 48775, 94741, 195164, 1751, 238144, 98833, 86070, 29659, 188301, 6, 4, 151614, 148346, 1211, 220224, 6, 141943, 154739, 46545, 2200, 7265, 1751, 75230, 35189, 1470, 54260, 5666, 8903, 104149, 12, 56170, 2442, 40096, 38, 4151, 7201, 23173, 37826, 1751, 75230, 1211, 6235, 192575, 2882, 74806, 12483, 95455, 199145, 3373, 26, 506, 64260, 6235, 4852, 39083, 2882, 74806, 12483, 12, 4151, 3496, 29766, 37826, 2205, 1470, 54260, 1211, 6, 159696, 2932, 6, 23173, 75230, 2702, 8903, 225975, 2882, 10676, 63864, 2882, 54260, 1644, 9213, 148346, 6093, 10676, 6, 148346, 109316, 109184, 5, 220224, 1211, 105687, 1644, 3056, 6, 148346, 26612, 29659, 710, 63532, 6, 4, 7369, 65146, 10705, 2865, 104378, 159308, 16175, 75230, 2882, 3120, 1285, 56170, 3131, 39083, 2882, 65482, 5, 130170, 1211, 32887, 2865, 22426, 1644, 3120, 35189, 9424, 29766, 213952, 6093, 4269, 64260, 506, 54260, 2882, 6, 94741, 63020, 7369, 6, 148346, 26612, 2932, 90848, 148346, 1211, 119055, 53414, 17190, 148346, 16870, 123329, 506, 54260, 2882, 5, 10069, 56170, 8300, 238144, 21066, 17310, 3120, 4151, 6, 75322, 59461, 21292, 236512, 31467, 10676, 81444, 4852, 133671, 364, 23173, 28320, 14857, 22426, 2882, 37826, 18225, 7746, 6235, 192575, 2882, 6, 4, 657, 75230, 2882, 4151, 178748, 28726, 4944, 4484, 54260, 2882, 4, 1470, 75230, 114349, 39083, 1211, 21106, 8580, 6, 238144, 1644, 81444, 37826, 7746, 1285, 162726, 174121, 6235, 188301, 2882, 5, 364, 183718, 6319, 59929, 205416, 22426, 506, 64260, 6235, 192575, 2882, 16175, 75230, 81829, 1285, 162726, 174121, 5, 7369, 37826, 6235, 97634, 1211, 7265, 67826, 28726, 2200, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 146111, 4484, 76776, 109636, 6, 148346, 26612, 159696, 2932, 109226, 4, 5332, 22426, 13159, 163139, 7265, 6, 23173, 137377, 8903, 212484, 18415, 1470, 75230, 15388, 5, 119055, 12483, 6, 150839, 64260, 7746, 182261, 3069, 8903, 39293, 56169, 364, 29766, 12984, 6, 4, 37826, 7369, 1751, 75230, 1211, 221387, 6, 135542, 21660, 18415, 3373, 8300, 65482, 3120, 4151, 48277, 142429, 48775, 24621, 12, 10676, 56976, 29257, 29060, 3120, 6, 48775, 48775, 195164, 2200, 1470, 98071, 94741, 6235, 4852, 109226, 3120, 220224, 6093, 115222, 44478, 228605, 6, 23173, 75230, 2702, 5, 9213, 148346, 6093, 220224, 123073, 39340, 22426, 151614, 148346, 1211, 6, 148346, 36326, 609, 104038, 9424, 142170, 850, 2648, 125897, 2200, 4838, 72402, 119718, 506, 2648, 125897 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 41764, 12415, 82576, 2050, 137377, 8903, 120749, 2205, 32887, 2865, 22426, 1644, 220224, 6093, 4269, 64260, 2648, 171127, 6, 4, 1470, 75230, 2702, 8903, 3131, 80453, 54260, 2882, 1285, 364, 35596, 92500, 7746, 56170, 240863, 12483, 2205, 4838, 18133, 2865, 22426, 7682, 6235, 53521, 17017, 27, 137, 47351, 23, 292, 87, 34, 5928, 528, 28, 508, 5, 339, 6, 20971, 292, 37826, 99509, 7265, 22518, 37016, 2200, 6, 84577, 42180, 23405, 74806, 107182, 77188, 1285, 101251, 148346, 26612, 25391, 54260, 148346, 44779, 7508, 9221, 213952, 4113, 2200, 34076, 54260, 4944, 8300, 54260, 46545, 22753, 36419, 2200, 45223, 2648, 40697, 43649, 448, 3120, 6, 48775, 94741, 195164, 1211, 27, 6, 101328, 4, 22753, 2205, 6, 130991, 3069, 70845, 4, 6, 196332, 7972, 148346, 18415, 4, 56170, 119055, 13845, 104238, 7369, 37826, 4838, 159696, 4484, 8903, 8903, 148346, 1211, 220224, 1211, 17190, 148346, 1211, 2200, 6, 123073, 4, 30473, 37826, 70845, 81444, 120202, 8903, 119718, 23173, 2882, 4, 7746, 7265, 70845, 6235, 212484, 2882, 1470, 54260, 110970, 7972, 46053, 4, 171665, 10069, 3069, 43649, 23173, 148346, 1211, 3069, 235210, 12483, 7265, 70845, 5, 1285, 6235, 170355, 183216, 4, 119055, 13845, 107581, 220224, 151614, 148346, 1211, 23173, 14088, 10676, 6235, 2882, 75230, 29659, 9424, 119718, 65689, 7746, 2200, 119055, 13845, 107581, 220224, 49008, 3120, 874, 39083, 3069, 2865, 39083, 9213, 148346, 6093, 8903, 121865, 1211, 6235, 119718, 29766, 1211, 37729, 4151, 32887, 2865, 149364, 9424, 123073, 87311, 142170, 44478, 33691, 2808, 75230, 148346, 1211, 2205, 32887, 2865, 22426, 1644, 292, 6, 64260, 1285, 6235, 170355, 183216, 6, 57277, 39340, 151614, 148346, 1211, 16175, 32097, 6, 61397, 54196, 10069, 3523, 83586, 3120, 1470, 54260, 5666, 235210, 12483, 6, 76776, 40920, 65689, 3069, 506, 6093, 6093, 12, 3373, 155, 506, 64260, 81444, 6235, 119718, 9221, 20911, 14004, 1285, 6, 92605, 42180, 4, 9213, 4151, 874, 119718, 4484, 21106, 86733, 1470, 75230, 49268, 24152, 5, 9213, 6, 64260, 10069, 6235, 4, 170355, 183216, 37826, 18225, 6, 238197, 6, 159696, 15388, 11211, 17017, 123736, 148346, 6093, 1470, 75230, 4667, 220224, 4838, 79981, 220224, 49008, 8903, 159696, 1211, 364, 52480, 128117, 2200, 220224, 49008, 364, 52480, 128117, 1470, 75230, 2702, 8903, 7916, 33716, 6235, 119718, 29766, 1211, 5, 1285, 48277, 142429, 40697, 3944, 142170, 4, 199145, 37826, 7746, 6235, 8300, 75230, 15388, 37729, 6, 48775, 94741, 195164, 13159, 2200, 6, 183512, 13159, 67826, 51723, 4, 3373, 54260, 119055, 12483, 220224, 151614, 148346, 1211, 6235, 4852, 109226, 6, 148346, 165592, 905, 83182, 4, 3373, 3069, 235210, 12483, 4, 64260, 10069, 41764, 134193, 4113, 2200, 6, 148346, 26612, 2932, 54260, 82576, 18415, 19302, 48904, 97594, 142170, 4, 6235, 148346, 75230, 2882, 230764, 6, 97634, 7511, 78683, 2200, 81444, 117397, 84577, 4113, 4, 199145, 37826, 7746, 1470, 75230, 111137, 506, 75230, 148346, 1211, 37640, 66293, 17824, 88917, 97634, 1211, 13342, 4151, 6, 71804, 23405, 148346, 40096, 171433, 16932, 73095, 22426, 15231, 101296, 6, 4, 4838, 364, 21106, 148346, 1211, 160204, 56170, 4151, 123736, 78683, 159696, 2200, 37826, 125523, 4838, 9915, 13845, 6093, 6, 148346, 23173, 9221, 17310, 7265, 11265, 7746, 6235, 159696, 16747, 2882, 13342, 4151, 6319, 119718, 41595, 4113, 4, 292, 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 ]
[ 3056, 10676, 3069, 506, 6093, 6093, 160238, 130991, 163139, 95455, 1644, 75230, 16932, 80885, 4, 6, 148346, 26612, 119718, 10705, 83182, 17310, 159696, 33716, 80885, 3120, 6, 21106, 7611, 4, 199145, 3056, 70845, 119055, 12483, 2702, 155, 68313, 130170, 130991, 5, 37640, 16747, 119273, 159696, 15388, 119055, 39083, 2882, 7369, 6, 238144, 29171, 6093, 6235, 159696, 1211, 56170, 7972, 148346, 2882, 2205, 1285, 6319, 71804, 183216, 37189, 27720, 5, 6, 4, 119055, 12483, 7243, 1285, 15857, 34079, 215726, 4, 199145, 3056, 8903, 147713, 1211, 2205, 220224, 6093, 147448, 2200, 199145, 37826, 6, 112294, 6235, 159696, 1211, 4151, 13342, 4, 36324, 4852, 54260, 1211, 6235, 144754, 170479, 7369, 29659, 198754, 192183, 12483, 1470, 75230, 7201, 101470, 1285, 22753, 95564, 54260, 2882, 6, 4, 199145, 1819, 910, 97634, 2865, 59929, 6, 212915, 119718, 92605, 16803, 4151, 69355, 6, 23173, 75230, 2702, 5, 3373, 26, 95766, 6235, 159696, 1211, 36324, 75230, 1751, 54260, 1211, 6, 4, 199145, 4838, 98071, 94741, 3056, 130991, 3069, 10676, 56170, 1644, 75230, 25207, 119132, 6, 48775, 94741, 195164, 4, 110573, 10069, 3069, 16175, 54260, 67873, 7265, 70845, 13342, 235210, 12483, 230764, 1470, 54260, 148346, 7682, 220224, 1211, 105687, 1644, 2205, 6, 228605, 38, 4151, 56170, 14857, 22426, 16932, 37826, 144754, 198754, 116486, 18415, 16803, 54196, 196991, 10676, 6, 4, 36324, 215031, 9181, 148346, 17190, 148346, 1211, 170479, 7746, 74813, 126700, 220224, 1211, 123736, 148346, 6093, 2205, 220224, 1211, 9424, 77188, 44779, 7201, 23173, 8300, 119718, 710, 21066, 28320, 25980, 36, 5, 1106, 10001, 11, 40, 568, 501, 5, 157, 34241, 37826, 7746, 81444, 4667, 6235, 212484, 2882, 99509, 1211, 1285, 6, 84577, 21660, 7682, 17310, 236512, 31467, 10676, 6, 141943, 154739, 46545, 1211, 56170, 2808, 54260, 29171, 1211, 7746, 7265, 6, 140746, 4231, 43178, 123329, 159696, 1644, 107581, 7369, 37826, 1751, 75230, 1211, 7243, 6235, 506, 29771, 23741, 28415, 3069, 6, 104149, 5, 110573, 10069, 6428, 54260, 2882, 44779, 13342, 84087, 1211, 2205, 70845, 1285, 81444, 4852, 125897, 6, 94741, 20260, 148346, 23173, 4484, 54260, 2882, 6, 4, 37826, 364, 183718, 6319, 59929, 205416, 22426, 219947, 6235, 2648, 23173, 23741, 6, 148346, 165592, 88917, 93497, 132025, 29659, 25207, 183216, 1285, 10339, 84577, 165592, 17645, 5, 158628, 16667, 6, 148346, 14236, 6093, 37826, 7265, 56170, 1644, 54260, 2932, 18415, 364, 35596, 6235, 98055, 2882, 230764, 4151, 19302, 54260, 59461, 1751, 119718, 23173, 89930, 163177, 21106, 22151, 17645, 4, 199145, 3120, 9424, 119718, 65689, 11265, 4113, 657, 54260, 119364, 37826, 95455, 6, 21106, 7611, 6, 23173, 75230, 2702, 8903, 148346, 69181, 4, 37826, 7369, 74806, 22426, 54196, 4, 6235, 86070, 2882, 2200, 56170, 3131, 57277, 8903, 1211, 1285, 22753, 2932, 213952, 4113, 1470, 88945, 21106, 131044, 3120, 4151, 65146, 7682, 3120, 4151, 119166, 16803, 4, 3120, 115556, 28726, 12984, 6235, 144754, 4, 1285, 364, 75230, 107581, 2200, 7243, 137377, 159696, 16747, 148346, 23173, 4113, 56170, 3131, 114436, 17310, 4, 119055, 13845, 107581, 22753, 2932, 15907, 3069, 4151, 6235, 2865, 54260, 59461, 364, 13159, 28726, 4944, 4484, 54260, 2882, 3120, 1285, 21776, 21106, 4113, 6, 170355, 12984, 5, 874, 26, 506, 64260, 148346, 1644, 75230, 4852, 6235, 2648, 23173, 23741, 19302, 29766, 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 ]
[ 17806, 20911, 68558, 4151, 75230, 6293, 4, 199145, 3373, 68313, 81444, 292, 24012, 4944, 16932, 6, 139449, 292, 74806, 12483, 38, 9424, 119718, 710, 17190, 148346, 16870, 7682, 148346, 26612, 2932, 90848, 148346, 65482, 6, 159696, 67873, 81444, 6, 4, 95836, 7201, 75230, 28726, 657, 109226, 6, 139485, 148346, 2932, 165592, 3069, 235210, 12483, 292, 84475, 125523, 7369, 61397, 12, 1470, 54260, 59461, 113889, 12984, 6, 183512, 53414, 292, 1470, 75230, 2702, 2932, 54260, 1211, 3120, 364, 17310, 6093, 25616, 75322, 6293, 5, 4151, 113889, 4667, 119055, 29060, 1285, 9424, 73381, 21106, 17310, 160204, 2205, 220224, 123073, 6, 75290, 149364, 2702, 95455, 11265, 125897, 4, 6, 148346, 15533, 130170, 4151, 8903, 159696, 1644, 148346, 17310, 6, 159696, 67873, 6, 148346, 1644, 54260, 148346, 1211, 9424, 238144, 120439, 109316, 28320, 6, 4, 199145, 6, 17645, 35465, 3120, 220224, 119055, 29060, 4852, 54260, 1211, 166777, 115825, 4944, 154739, 46545, 2200, 6, 68558, 10705, 194734, 93509, 54260, 2648, 21422, 7508, 26, 68313, 4838, 79981, 84475, 144754, 125523, 37922, 21660, 1211, 5, 95455, 3056, 6235, 159696, 1211, 1285, 21776, 21106, 4113, 2200, 6, 170355, 4944, 192956, 220224, 2882, 69355, 4151, 6, 170355, 4667, 292, 4838, 220224, 2882, 2200, 6, 47351, 64769, 8580, 56170, 7746, 4, 119055, 13845, 104238, 3056, 7201, 23173, 10676, 1470, 88945, 21106, 78653, 37640, 66293, 364, 23173, 7611, 6, 148346, 104383, 7243, 6, 130991, 2205, 6, 148346, 26612, 236376, 2200, 199145, 4151, 4269, 54260, 16803, 3120, 1751, 54260, 5927, 54260, 2882, 2200, 65146, 7682, 37826, 8947, 159308, 23847, 119273, 1211, 6, 103828, 2884, 56170, 55049, 2882, 7369, 8903, 7611, 2205, 1751, 64260, 1211, 5, 56170, 1285, 6235, 9719, 16932, 3120, 48775, 94741, 195164, 2200, 1470, 98071, 94741, 37826, 95455, 6, 170355, 4944, 192956, 4, 199145, 37826, 220224, 4151, 119718, 23173, 2882, 4, 148346, 104383, 7243, 148707, 34533, 54196, 5, 220224, 123073, 67826, 51723, 151614, 148346, 1211, 7746, 4151, 506, 75230, 148346, 1211, 2205, 10705, 99611, 68558, 3069, 4151, 6, 218241, 57277, 159696, 3120, 364, 23173, 87311, 142170, 4, 56170, 30473, 104238, 213952, 4, 36324, 6, 64260, 73381, 13497, 7746, 6, 140746, 11211, 17017, 2200, 56170, 220224, 6093, 6, 148346, 135118, 95494, 23741, 119055, 29060, 1470, 75230, 135469, 48775, 67873, 35189, 564, 75230, 148346, 6093, 148346, 23173, 2932, 140566, 2648, 120467, 3944, 40920, 3120, 4151, 1470, 54260, 148346, 7682, 54260, 2882, 5, 1285, 46711, 54260, 16803, 213952, 4113, 6319, 48775, 23741, 3120, 6, 140746, 2648, 29771, 4852, 123329, 56170, 3131, 114436, 17310, 37826, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 72577, 6235, 119718, 9221, 20911, 230764, 20315, 2050, 3069, 506, 6093, 6093, 2200, 37826, 7243, 6, 238144, 29171, 7265, 8903, 148346, 48775, 40920, 4, 36324, 6, 64260, 35189, 3111, 46685, 170479, 70845, 6, 148346, 165592, 88917, 93497, 119055, 53414, 6, 113889, 35596, 73784, 364, 23173, 7611, 5, 69355, 1285, 22518, 37016, 1211, 2200, 657, 75230, 16932, 4484, 54260, 28320, 3120, 10676, 81444, 4852, 133671, 223229, 10339, 147713, 16932, 7746, 1470, 75230, 49268, 905, 12483, 6, 148346, 54260, 4838, 9424, 238144, 16932, 65146, 7682, 22426, 17645, 36419, 4, 199145, 3056, 6235, 159696, 1211, 73486, 7611, 4, 123736, 148346, 6093, 99509, 7265, 192183, 26394, 120580, 9221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12483, 9424, 75230, 148346, 6093, 5, 657, 75230, 2882, 10676, 87481, 186955, 68313, 8947, 6235, 159696, 1211, 4838, 3373, 4667, 6, 211630, 192956, 2442, 37640, 66293, 7369, 29659, 1211, 223229, 5, 3373, 26, 68313, 6235, 159696, 1211, 6, 47351, 9213, 135542, 17645, 4, 123736, 148346, 6093, 4838, 6, 48775, 105780, 9221, 18415, 9213, 135542, 17645, 4, 6235, 87311, 21295, 2205, 6235, 29659, 186955, 93449, 7265, 1285, 6, 78683, 95064, 2200, 34076, 54260, 4944, 8300, 54260, 46545, 224220, 22426, 1644, 6, 138194, 18415, 174538, 12483, 69355, 4151, 3523, 54260, 82576, 119166, 16803, 5, 8947, 3056, 6235, 159696, 1211, 4838, 7508, 54260, 1211, 6, 29766, 39340, 82576, 3131, 46545, 4, 68558, 6235, 170355, 23405, 4, 4838, 177157, 7201, 171433, 13456, 6, 80453, 13845, 41731, 6, 14088, 3120, 32054, 48904, 8300, 75230, 4852, 118473, 120202, 29659, 75322, 17310, 4, 2808, 75230, 2702, 8903, 81427, 37729, 4838, 19302, 54260, 119132, 6, 4, 657, 75230, 2882, 178766, 4113, 364, 54260, 13497, 8300, 54260, 46545, 4113, 56170, 155, 506, 13845, 2882, 161829, 1211, 6, 4, 6, 71577, 23173, 40096, 4, 123736, 148346, 6093, 81444, 4667, 220224, 49008, 6, 23173, 54260, 23405, 13845, 54260, 98833, 6235, 119718, 29766, 1211, 4151, 8580, 76961, 874, 75230, 20260, 54260, 28320, 3120, 4151, 6, 87311, 35189, 59461, 19302, 48904, 2932, 18415, 4944, 29171, 2200, 3373, 68313, 2648, 99766, 6, 21106, 7611, 19302, 23964, 3069, 8903, 22426, 59929, 2882, 6235, 119718, 29766, 1211, 230764, 3069, 56170, 3131, 22426, 710, 49008, 1285, 3523, 83586, 144754, 4838, 82563, 2050, 5, 35189, 364, 156822, 6, 4, 119055, 13845, 12984, 364, 183718, 6319, 59929, 205416, 22426, 37826, 4151, 148346, 54260, 6235, 54574, 177148, 4, 68313, 6235, 159696, 1211, 36324, 13845, 104238, 12, 7369, 3056, 6235, 147713, 1211, 1470, 75230, 2702, 2932, 21660, 75230, 15388, 874, 6, 28320, 41764, 12130, 6, 23173, 75230, 6293, 2808, 75230, 6293, 4838, 657, 171433, 39340, 199145, 3056, 6235, 159696, 1211, 6, 148346, 165592, 54260, 2882, 7265, 56170, 148346, 125897, 43649, 53414, 148346, 12666, 51723, 2200, 6, 148346, 26612, 21847, 48904, 56169, 7265, 6, 119312, 5, 159308, 6319, 137377, 3056, 7369, 6235, 147713, 1211, 132025, 155, 8903, 3131, 22426, 23173, 2882, 2205, 4838, 19302, 54260, 1211, 6, 148346, 6093, 21847, 4, 1470, 54260, 1211, 6, 64991, 4838, 6, 148346, 710, 10813, 130170, 8903, 506, 75230, 148346, 1211, 92500, 4151, 9424, 238144, 16932, 292, 56170, 1644, 54260, 98833, 9213, 148346, 53414, 7369, 29659, 1211, 5, 123736, 148346, 6093, 95455, 22753, 49008, 8903, 159696, 1211, 6, 64991, 3120, 4838, 9424, 71577, 5, 1285, 22639, 235210, 4484, 54260, 2882, 230764, 4151, 657, 171433, 39340, 3056, 6235, 159696, 1211, 4838, 99509, 29659, 188301, 4113, 2200, 7369, 37826, 6, 148346, 1644, 75230, 4852, 236512, 31467, 220224, 1211, 1470, 54260, 8903, 119132, 1982, 23173, 8903, 7511, 15388, 4838, 144532, 8903, 2882, 48904, 56169, 7265, 1285, 6, 223390, 6093, 9213, 148346, 6093, 4838, 19302, 54260, 119132, 364, 15350, 89930, 119132, 6, 148346, 212484, 2808, 171127, 15529, 96302, 6, 4, 199145, 7369, 37826, 6235, 234221, 2205, 874, 75230, 1644, 5, 3373, 26, 68313, 8903, 159696, 1211, 4838, 19302, 23173, 23269, 21338, 84475, 36324, 75230, 4838, 10339, 75230, 13845, 2200, 7369, 37826, 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 ]
[ 69355, 6, 23173, 75230, 2702, 2932, 21660, 75230, 15388, 6, 211630, 44779, 7201, 171433, 55823, 119718, 174121, 32887, 59461, 1470, 54260, 1211, 160204, 6, 113889, 12984, 6, 183512, 53414, 4, 6, 64260, 165592, 75230, 163139, 3373, 26, 2932, 54260, 2882, 4, 2200, 160238, 2882, 7265, 4838, 6235, 119718, 710, 101608, 292, 3069, 61541, 7682, 61397, 64260, 114436, 364, 23173, 87311, 7511, 38596, 54260, 2882, 5, 36324, 75230, 2205, 1285, 9934, 29766, 2932, 212484, 4113, 10339, 171433, 59919, 54260, 1470, 75230, 111137, 29659, 75230, 15388, 73784, 2882, 32097, 148346, 1644, 75230, 12483, 11211, 17017, 6, 4, 199145, 130170, 70845, 151614, 148346, 1211, 7746, 3944, 40920, 74806, 218241, 21295, 2205, 112511, 97634, 2865, 59929, 6, 212915, 119718, 41595, 2200, 6235, 148346, 128117, 153222, 2882, 196991, 4151, 6, 119312, 1285, 10339, 54260, 23269, 6, 148346, 28726, 16932, 3120, 1470, 54260, 179561, 23269, 148346, 6093, 101328, 4852, 13159, 2200, 4231, 79238, 239162, 2702, 5, 123736, 148346, 6093, 220224, 1211, 2190, 112595, 23173, 84577, 119718, 99766, 44779, 364, 21106, 148346, 63593, 13845, 142429, 13456, 67512, 12483, 3056, 7243, 230764, 6, 71804, 23405, 6235, 148346, 7972, 148346, 1211, 95455, 1470, 54260, 112690, 39340, 21374, 17410, 8580, 4151, 1470, 54260, 5666, 235210, 4484, 54260, 2882, 5, 95455, 9934, 40714, 51723, 3120, 1285, 22639, 4852, 87442, 1211, 2205, 4151, 8248, 46685, 506, 54260, 101608, 9181, 23741, 9213, 148346, 53414, 4269, 90848, 4852, 6, 4, 1285, 6, 119312, 3131, 54260, 1211, 6, 21106, 54260, 1211, 4, 4151, 657, 54260, 4944, 16932, 119718, 41595, 6, 4, 95455, 119055, 92605, 1644, 12483, 7746, 3120, 1285, 6, 148346, 54260, 46685, 3131, 22426, 31623, 1211, 4, 95455, 6, 148346, 128117, 153222, 1211, 3120, 10069, 6, 148346, 28726, 16932, 4, 292, 1285, 4269, 48904, 26394, 9934, 48904, 160687, 84316, 25207, 119718, 2648, 125897, 8248, 46685, 2648, 125897, 620, 119718, 506, 506, 64260, 7746, 56170, 119718, 183512, 21295, 2205, 1470, 54260, 1211, 6235, 9719, 29659, 19302, 48904, 2932, 4, 119055, 13845, 104238, 37826, 13342, 8903, 8903, 148346, 1211, 220224, 1211, 41764, 40714, 16932, 10339, 75230, 7201, 161829, 4838, 364, 23173, 87311, 5666, 40697, 6, 148346, 93704, 54260, 2882, 17310, 4, 199145, 506, 64260, 7746, 110573, 92904, 6235, 148346, 161577, 2200, 3496, 92904, 9213, 148346, 6093, 48775, 29659, 5, 16175, 54260, 1644, 2865, 39083, 10339, 147713, 2882, 10069, 177157, 7201, 171433, 40697, 6, 148346, 26612, 97594, 140980, 98252, 18415, 28320, 2200, 56170, 29659, 177148, 119055, 53414, 5, 123736, 148346, 150839, 183718, 7265, 1285, 9424, 71577, 40697, 6, 64991, 37826, 6, 238144, 16932, 6235, 148346, 212484, 1211, 2200, 37826, 7265, 35189, 6, 76776, 98071, 159696, 2442, 1470, 54260, 13497, 29771, 29171, 54260, 2882, 3120, 220224, 1211, 46440, 1211, 163139, 35189, 6, 139449, 6, 23173, 75230, 2702, 225164, 10676, 6, 48775, 105780, 54196, 7201, 23173, 148346, 133671, 19302, 48904, 2932, 171665, 13456, 47890, 3120, 4151, 6, 76776, 29631, 5, 6, 113889, 4944, 5, 20315, 2050, 163139, 6, 64260, 35189, 19302, 48904, 2932, 37826, 163139, 35189, 7746, 6, 148346, 48904, 54260, 2882, 6, 4, 37826, 7369, 4, 9213, 148346, 6093, 29659, 54260, 2932, 213952, 7746, 6, 21106, 54260, 1211, 6, 148346, 26612, 104378, 1285, 17824, 13159, 18415, 4, 6, 148346, 8580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 241662, 74806, 22426, 99766, 4113, 86070, 4484, 54260, 2882, 6, 4, 37729, 10676, 4, 199145, 3373, 26, 4852, 54260, 49008, 3069, 130991, 6, 21106, 7611, 3523, 54260, 123073, 2200, 17288, 104238, 4113, 22639, 34575, 107182, 21106, 29659, 51723, 5, 220224, 151614, 148346, 1211, 6, 18167, 6, 23173, 23174, 63593, 29659, 2205, 6, 29766, 39340, 82576, 4269, 18167, 1470, 54260, 59461, 6, 113889, 12984, 6, 183512, 53414, 6, 4, 6, 148346, 8580, 3373, 26, 68313, 4151, 240863, 12483, 3069, 4838, 58571, 64213, 87311, 96302, 6, 148346, 14236, 119055, 13845, 12984, 4151, 99509, 17494, 46685, 6, 124470, 43178, 23964, 37826, 2205, 7746, 6, 84577, 234221, 4838, 4269, 48904, 26394, 1470, 54260, 148346, 7682, 54260, 2882, 5, 4151, 4231, 17310, 6093, 10339, 26612, 2884, 3056, 220224, 6093, 34076, 7682, 44779, 8903, 159696, 1211, 230764, 220224, 1211, 8248, 46685, 1644, 171433, 39340, 5, 81444, 2205, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 137, 7201, 23173, 35596, 59919, 1285, 4667, 155, 6319, 54260, 1211, 4838, 3149, 12415, 850, 4, 6319, 54260, 1211, 41764, 12415, 82576, 13456, 6235, 120749, 9213, 148346, 6093, 37922, 21660, 1211, 4, 119718, 120467, 37826, 56170, 8903, 46053, 2205, 220224, 1211, 6, 123073, 2200, 3056, 4838, 177282, 29771, 33225, 5, 81444, 37826, 8903, 506, 6093, 29659, 1285, 56170, 8903, 2702, 20260, 54260, 2882, 4838, 79981, 6, 4, 4151, 6235, 148346, 35596, 3131, 16932, 67826, 1644, 29659, 183512, 4, 1285, 10705, 14857, 69127, 3120, 4151, 9424, 54260, 2882, 212484, 7682, 54260, 2882, 5, 8947, 2205, 6235, 159696, 1211, 1285, 120202, 8903, 212484, 20260, 54260, 2882, 119718, 120467, 37826, 10676, 7508, 54260, 16667, 28320, 6235, 119718, 21292, 1211, 6, 4, 4151, 1470, 75230, 2702, 8903, 30946, 73136, 16932, 4838, 204403, 18415, 68558, 69355, 6, 21106, 7611, 4, 199145, 56170, 2808, 54260, 29171, 2882, 1285, 28415, 25491, 54260, 90848, 109636, 98071, 36326, 6, 129071, 710, 119718, 131044, 5, 1285, 506, 54260, 116604, 125897, 6, 148346, 23173, 905, 98071, 4484, 17310, 199145, 3056, 4151, 69355, 6235, 240863, 12483, 4, 37826, 10676, 6, 76776, 40920, 192575, 7682, 84577, 6235, 101296, 40920, 6, 64260, 10069, 162726, 174121, 6, 148346, 165592, 88917, 93497, 119055, 77188, 86070, 5, 35189, 113889, 4667, 3056, 6235, 159696, 1211, 4838, 29434, 710, 18415, 27, 8947, 220224, 49008, 1470, 54260, 105405, 44779, 163139, 35189, 6235, 159696, 1211, 206105, 97121, 506, 36326, 4, 56170, 21066, 29771, 40920, 65482, 4, 29434, 54260, 84475, 83066, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 142180, 119718, 29766, 46598, 1285, 32887, 5666, 29766, 40697, 4838, 144295, 6, 4, 119055, 13845, 107581, 874, 26, 506, 64260, 74806, 22426, 710, 21295, 4, 37826, 6, 21106, 54260, 1211, 7201, 23173, 3111, 51723, 6, 148346, 102562, 4838, 220224, 2882, 5, 163139, 35189, 3056, 2181, 6235, 159696, 1211, 5332, 22426, 13159, 32054, 48904, 8300, 75230, 4852, 13456, 2702, 6, 4, 69355, 6, 47351, 120202, 123073, 4, 119055, 13845, 107581, 364, 183718, 6319, 59929, 205416, 22426, 37826, 72577, 6235, 88660, 13497, 4, 119055, 13845, 107581, 6093, 37826, 4838, 3373, 4667, 874, 39083, 221387, 2200, 6235, 104149, 2205, 32887, 40096, 6093, 5, 7369, 37826, 26612, 43375, 905, 6, 48904, 73136, 21295, 6, 148346, 14236, 4838, 63259, 13159, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 6428, 119718, 46985, 220224, 6093, 4838, 212837, 710, 79761, 213952, 1211, 2451, 35189, 87311, 13497, 11265, 364, 183512, 1644, 17310, 27, 8947, 3056, 6235, 159696, 1211, 2205, 9424, 238144, 28320, 6, 129071, 2205, 35189, 145813, 48904, 152185, 1751, 135118, 4, 4838, 6, 61397, 75230, 24621, 6, 150349, 13845, 33104, 39340, 7265, 6, 148346, 905, 63849, 13159, 1470, 75230, 18406, 178047, 2882, 6, 148346, 26612, 10918, 33716, 7265, 78104, 104238, 2200, 6235, 148346, 75230, 2882, 7265, 4838, 620, 91595, 6093, 67882, 119718, 2442, 152185, 4838, 53171, 18415, 109421, 5, 6, 78683, 70598, 172398, 43649, 448, 6, 4, 119055, 13845, 107581, 3056, 6235, 159696, 1211, 119055, 23173, 6093, 4, 26612, 6, 148346, 710, 35044, 7508, 75230, 2200, 37826, 37640, 16747, 119273, 159696, 15388, 6235, 119718, 9221, 20911, 37729, 11265, 6, 48775, 21087, 38596, 54260, 2882, 37826, 4151, 21733, 77188, 4, 36324, 22753, 4, 6319, 23173, 51723, 4, 163139, 1644, 16175, 48904, 64213, 56170, 1285, 73095, 68959, 95494, 198093, 4, 2200, 874, 26, 506, 64260, 11211, 148346, 6293, 221387, 95455, 19302, 71577, 1211, 3120, 11265, 4113, 6319, 59929, 57277, 7511, 213783, 5, 123736, 148346, 6093, 2205, 10676, 55242, 1644, 148346, 1211, 6, 87311, 96302, 151614, 148346, 1211, 1470, 75230, 2702, 8903, 148346, 212484, 1211, 230764, 4838, 3131, 46545, 1644, 2007, 66317, 6, 226112, 2865, 22426, 54260, 28320, 4, 6, 47351, 6, 71577, 13845, 4, 4838, 110573, 92904, 2648, 123329, 6, 123559, 16932, 152185, 2702, 18640, 5666, 21106, 4, 119055, 13845, 104238, 2205, 10676, 55242, 1644, 59461, 6, 23173, 8580, 45521, 16803, 2205, 1285, 6, 148346, 54260, 59461, 5, 292, 119718, 23173, 2882, 12, 1470, 54260, 1211, 118522, 38, 292, 37826, 7369, 1470, 75230, 2702, 8903, 225164, 2200, 37826, 1470, 75230, 111137, 3131, 22426, 710, 56169, 1285, 1470, 75230, 53414, 4, 163139, 4838, 45521, 38054, 5, 4151, 75230, 6293, 37826, 6319, 23173, 51723, 6235, 22680, 4113, 98833, 12, 37271, 7201, 23173, 905, 120467, 155, 2200, 12, 137, 119718, 120467, 74806, 29060, 54745, 1211, 6, 24846, 292, 137, 29257, 49920, 16803, 54745, 1211, 4112, 2882, 155, 705, 2451, 506, 64260, 7369, 120202, 123073, 195164, 7682, 6235, 225975, 2882, 5, 123736, 148346, 6093, 1285, 6, 147455, 54260, 59461, 8580, 37826, 95455, 13159, 7243, 36324, 75230, 163139, 7369, 5, 8947, 220224, 49008, 81444, 4667, 1285, 6, 226112, 2865, 22426, 54260, 28320, 3120, 4151, 78683, 4852, 23173, 24621, 4, 199145, 33960, 148346, 1211, 4838, 9424, 54260, 12984, 74, 137, 10069, 9424, 54260, 2882, 4838, 506, 54260, 69708, 23964, 54260, 1211, 107776, 6, 68558, 155, 292, 506, 64260, 7369, 120202, 123073, 195164, 7682, 6235, 225975, 2882, 5, 123736, 148346, 6093, 1285, 6, 147455, 54260, 59461, 8580, 37826, 95455, 219947, 6235, 88660, 13497, 6, 148346, 26612, 23847, 54260, 33225, 2200, 37826, 7243, 6235, 119718, 39083, 2882, 364, 53414, 4151, 69355, 5, 113889, 4667, 6, 148346, 13159, 6093, 4, 292, 37826, 22753, 6235, 134727, 2882, 364, 21106, 148346, 6, 76776, 184855, 4, 364, 21106, 148346, 18133, 8300, 22426, 506, 103023, 4, 2451, 14004, 56169, 119055, 29060, 18225, 7243, 6428, 23173, 33225, 6319, 54260, 1211, 6319, 59929, 57277, 7511, 213783, 4269, 64260, 4838, 79981, 6, 148346, 165592, 29766, 98833, 220224, 7265, 65146, 7682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 73784, 6, 57277, 69106, 4, 2200, 4151, 7201, 23173, 12, 292, 6, 71804, 71804, 71804, 71804, 12, 292, 6093, 3056, 6235, 119718, 29766, 1211, 1470, 75230, 101608, 7746, 5, 220224, 1211, 1470, 54260, 2932, 65482, 6, 84577, 2882, 75230, 3131, 17310, 22426, 54260, 1211, 3056, 4151, 238144, 1644, 1470, 23174, 48904, 64213, 120202, 8903, 186145, 28320, 6, 4, 6, 148346, 14236, 7369, 37826, 7746, 6, 139449, 6, 148346, 75322, 710, 12483, 185758, 19302, 29766, 3069, 193178, 6, 4, 6, 159696, 15388, 199145, 81444, 4269, 54260, 2882, 2200, 36324, 6319, 54260, 1211, 69529, 56170, 7972, 148346, 158652, 54260, 2882, 2205, 4151, 6, 159696, 21295, 6319, 68558, 7746, 7243, 115222, 2932, 5666, 128540, 10676, 81444, 4852, 133671, 15857, 2932, 5666, 21106, 5, 119718, 710, 36324, 75230, 3056, 95455, 178748, 44779, 6, 4, 22753, 170479, 7243, 56170, 29659, 54260, 1211, 215031, 37640, 16747, 26612, 96302, 21106, 4113, 2200, 101251, 148346, 93704, 23174, 18415, 6, 170355, 4667, 38, 292, 6255, 65146, 182261, 4838, 159696, 4484, 4, 4838, 506, 54260, 2050, 4, 5, 66951, 97634, 2865, 59929, 6, 212915, 95766, 4151, 6319, 119718, 23173, 2882, 9221, 73784, 6, 71577, 13845, 292, 37826, 7369, 1470, 75230, 2702, 8903, 225164, 56170, 8300, 238144, 21066, 2882, 236512, 31467, 11265, 7243, 6, 148346, 26612, 23847, 54260, 33225, 199145, 37826, 70845, 95455, 364, 23173, 26, 1211, 8903, 101296, 40920, 16175, 137377, 21295, 36324, 75230, 1751, 159696, 2442, 4, 163139, 3373, 26, 506, 39083, 2882, 3373, 54260, 119718, 21292, 54260, 6235, 159696, 1211, 6, 68558, 10676, 5, 29771, 148346, 6093, 81444, 37826, 7746, 132025, 8903, 225164, 6319, 23173, 51723, 5, 22753, 2205, 6235, 159696, 1211, 4151, 8300, 29766, 13497, 6, 4, 30473, 3056, 6235, 159696, 1211, 1470, 75230, 111137, 88660, 40920, 6, 148346, 15533, 16175, 32097, 2205, 4151, 3523, 83586, 11265, 52059, 68313, 6235, 159696, 1211, 1470, 54260, 1211, 1751, 46545, 120202, 8903, 5666, 23173, 18415, 2200, 6, 148346, 21106, 54260, 10069, 146873, 3944, 148346, 4113, 5, 6, 21106, 5666, 7201, 21106, 2702, 37826, 22753, 6235, 101296, 40920, 215031, 132025, 105235, 1644, 5, 292, 2205, 6319, 119718, 23173, 2882, 9221, 32, 73784, 71577, 13845, 2200, 11265, 364, 23173, 7611, 32, 2200, 11265, 72577, 6, 4, 9424, 77188, 44779, 364, 23173, 7611, 4, 199145, 3056, 13342, 7972, 148346, 1751, 119718, 26612, 4944, 4484, 54260, 2882, 292, 6, 101328, 4, 22753, 3056, 874, 56401, 12, 236512, 31467, 1751, 119718, 26612, 4944, 4484, 54260, 2882, 292, 17824, 54260, 2882, 8903, 159696, 1211, 7265, 70845, 3069, 235210, 12483, 3069, 56170, 108209, 64213, 1285, 21422, 2882, 37729, 6235, 170355, 23405, 2200, 57277, 69106, 32, 46711, 174121, 48775, 57277, 12, 292, 2200, 22753, 37826, 7265, 163139, 1644, 35465, 9174, 119718, 4484, 3069, 190135, 10069, 364, 84577, 73784, 874, 75230, 1644, 110573, 10069, 6, 113889, 4944, 13342, 101296, 12984, 10676, 16175, 144532, 22426, 54260, 2882, 5, 292, 46711, 174121, 48775, 57277, 12, 92500, 95455, 3056, 6235, 3111, 2932, 5, 170479, 4852, 36326, 6, 140746, 24377, 23093, 145813, 12415, 183216, 2205, 4151, 9181, 23741, 1211, 92500, 6, 159696, 67873, 4838, 159696, 4484, 5, 7544, 17410, 6, 4, 72577, 4, 170479, 7369, 657, 75230, 33225, 38, 6, 64260, 3056, 220224, 1211, 45223 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2050, 4, 4852, 54260, 1211, 1751, 159696, 38054, 2200, 220224, 1211, 67882, 177282, 12, 170479, 7369, 657, 75230, 33225, 2205, 4151, 6319, 165592, 23173, 24621, 4, 119718, 120467, 33960, 104238, 6, 4, 33960, 104238, 4, 33960, 104238, 38, 7369, 37826, 7746, 6, 148346, 54260, 34482, 6235, 148346, 213783, 7508, 140468, 27, 29771, 148346, 6093, 22753, 6, 148346, 1644, 54260, 148346, 2882, 6, 238144, 16932, 6, 148346, 54260, 11265, 115825, 188301, 1211, 33414, 4852, 4484, 2200, 67882, 40920, 7746, 119718, 710, 22753, 119055, 39083, 2882, 95455, 6235, 159696, 1211, 4151, 4, 199145, 37826, 220224, 6, 148346, 710, 35044, 56170, 29659, 183512, 7201, 23173, 1644, 75230, 61621, 6, 148346, 54260, 2050, 1470, 75230, 7201, 95494, 67873, 3120, 1285, 49920, 59461, 5, 46711, 174121, 48775, 57277, 6, 4, 73784, 6, 71577, 13845, 38, 2932, 64260, 18133, 3944, 148346, 6093, 7369, 6319, 68558, 81444, 4667, 125523, 6, 104378, 3069, 3131, 109636, 2882, 12, 20632, 4, 33960, 104238, 2865, 26, 15529, 23741, 81444, 4667, 1751, 75230, 1211, 73784, 6, 71577, 13845, 4, 2200, 81444, 65146, 7369, 81444, 4667, 4, 55242, 1644, 148346, 16803, 7201, 23173, 105235, 16747, 44779, 6, 4, 7746, 120202, 2442, 54260, 46053, 163139, 4838, 3523, 23173, 4, 17824, 142429, 2205, 10676, 6, 87311, 96302, 4, 119055, 12483, 30473, 4, 6319, 23173, 51723, 4, 37826, 6235, 119718, 39083, 2882, 16175, 48904, 64213, 56170, 70845, 5, 6, 64260, 95455, 4, 95455, 3056, 4852, 54260, 1211, 3944, 148346, 4113, 3069, 11265, 38, 292, 26612, 41764, 54260, 5666, 192956, 6, 71804, 8903, 38, 22753, 37826, 7243, 56170, 3131, 57277, 49008, 5, 95455, 6, 238144, 148346, 4, 10069, 6, 147455, 54260, 59461, 8580, 6, 4, 37826, 7243, 6235, 88660, 13497, 2200, 7243, 6235, 119718, 39083, 2882, 56170, 29659, 54260, 1211, 5, 30473, 37826, 8947, 7243, 6235, 119718, 39083, 2882, 292, 364, 29766, 46598, 6, 68558, 69529, 73995, 74, 2205, 11265, 110573, 13159, 4, 95766, 11265, 33414, 4852, 4484, 3056, 6235, 159696, 1211, 5332, 22426, 13159, 199145, 37826, 9213, 148346, 6093, 8903, 29659, 116628, 10676, 87311, 96302, 2200, 95455, 6, 149364, 4852, 43178, 192956, 4, 4838, 9915, 43590, 4, 6, 47351, 34482, 7201, 54260, 16747, 95494, 23741, 196991, 80453, 710, 112690, 22426, 199145, 37826, 7265, 1285, 32054, 48904, 8300, 75230, 4852, 40697, 19302, 23173, 23269, 28320, 292, 84475, 145813, 48904, 40697, 49920, 59461, 292, 6235, 225164, 10676, 56170, 7972, 148346, 28320, 65902, 119132, 3373, 39083, 2648, 40096, 5, 3069, 81414, 49597, 4852, 2865, 23982, 1211, 9213, 148346, 6093, 70845, 3056, 6235, 159696, 1211, 11265, 17288, 4944, 82576, 4, 1470, 54260, 5666, 8903, 148346, 75230, 2442, 114436, 4, 9213, 35189, 3523, 75230, 148346, 6093, 148346, 23173, 2932, 2947, 418, 148346, 6093, 149364, 4852, 43178, 192956, 6, 75322, 148346, 710, 42180, 5, 22753, 37826, 6235, 506, 40096, 4151, 13342, 220224, 6093, 4838, 41764, 134193, 9719, 21338, 12, 22753, 37826, 6235, 134727, 2882, 6, 4, 36324, 1470, 75230, 148346, 7369, 119055, 29060, 4838, 4113, 37016, 5666, 54260, 1211, 4, 3056, 4838, 210228, 4, 165592, 7369, 37826, 22753, 7243, 3944, 148346, 5, 4838, 73486, 40096, 95455, 6, 57277, 39340, 37826, 6, 101328, 25603, 6428, 99766, 2808, 71512, 238144, 29171, 2205, 6, 78683, 119364, 7243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 88660, 13497, 56170, 226112, 15388, 4, 7369, 37826, 22753, 6, 148346, 26612, 13456, 119718, 2808, 75230, 61621, 22753, 170479, 70845, 6, 212484, 1211, 6, 104378, 73784, 119055, 99766, 5, 22753, 37826, 7243, 8903, 119718, 39083, 2882, 5, 37826, 7369, 22753, 6235, 8300, 119718, 2808, 109226, 5, 3373, 95766, 6235, 159696, 1211, 4838, 16175, 54260, 15096, 171433, 15907, 7369, 16667, 16932, 6, 87311, 96302, 5, 10339, 40096, 21106, 4113, 6319, 71804, 183216, 151614, 148346, 1211, 7746, 6, 23173, 75230, 2702, 8903, 121865, 1211, 3120, 10676, 29766, 39340, 82576, 4, 4838, 18367, 506, 3131, 42695, 506, 103023, 2648, 90848, 188301, 6093, 6, 87311, 15231, 119718, 4, 199145, 37826, 7746, 2932, 21660, 75230, 15388, 4, 163139, 364, 183718, 6319, 59929, 205416, 22426, 37826, 6235, 119718, 10705, 16803, 4, 37729, 4151, 4269, 48904, 89930, 137377, 123073, 6, 148346, 15533, 73784, 6319, 40096, 59929, 226112, 7201, 21106, 1211, 1470, 75230, 2702, 212484, 2200, 2205, 1470, 75230, 4667, 6235, 159696, 1211, 6, 148222, 54260, 100863, 54260, 2882, 17310, 3069, 10676, 19302, 54260, 119132, 3496, 39083, 94741, 125830, 4838, 144295, 4, 3069, 4151, 3523, 54260, 6093, 162726, 174121, 4, 159696, 1644, 107581, 874, 26, 506, 64260, 6235, 2648, 23173, 23741, 160238, 25603, 64213, 5, 37271, 2648, 29771, 4, 6, 148346, 54260, 2050, 364, 23173, 7611, 4, 6235, 23822, 54260, 74806, 710, 56169, 155, 292, 6, 101328, 39293, 37826, 95455, 6235, 4852, 109226, 119055, 10705, 83182, 44779, 1751, 54260, 1211, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 1285, 162726, 174121, 123736, 23741, 8903, 212484, 2882, 46440, 1211, 1470, 75230, 4667, 6, 148346, 165592, 905, 83182, 4, 6, 68558, 10676, 6, 148346, 233364, 198093, 3069, 235210, 43178, 506, 48904, 2932, 4, 2200, 6093, 37826, 7746, 43649, 188301, 3069, 8903, 506, 77188, 7265, 4151, 1470, 75230, 7201, 46685, 4484, 235210, 16932, 177157, 22426, 40096, 17645, 5, 657, 75230, 28320, 87481, 186955, 3056, 1285, 4838, 144295, 7243, 6235, 159696, 1211, 215031, 6235, 119718, 21106, 2648, 125897, 26612, 4667, 6, 4, 123736, 148346, 6093, 11265, 6, 124470, 3149, 33104, 27105, 75290, 6235, 115453, 710, 92904, 43082, 2205, 6, 61397, 12483, 7508, 9221, 213952, 6, 148346, 8580, 35189, 17288, 4944, 82576, 874, 212479, 5, 4151, 3373, 39083, 2648, 40096, 37826, 6235, 4852, 109226, 3120, 4151, 6, 148346, 156822, 159696, 1644, 107581, 6319, 23173, 51723, 37826, 70845, 3069, 8903, 119718, 29766, 33225, 2205, 132025, 506, 54260, 148346, 3120, 220224, 6093, 564, 233364, 13497, 95494, 23741, 2200, 119055, 13845, 107581, 3056, 56170, 70845, 6235, 159696, 1211, 6, 21106, 7611, 144754, 208048, 83182, 2205, 20315, 2050, 1751, 119718, 53414, 6, 23173, 119273, 6, 4, 2205, 119055, 13845, 12984, 48494, 8580, 6, 23173, 54260, 23405, 73381, 21106, 1211, 236512, 31467, 11265, 5, 6093, 37826, 16175, 32097, 4151, 16629, 16932, 2882, 874, 56401, 6235, 159696, 1211, 36324, 7369, 37826, 2205, 6, 175221, 87311, 96302, 1211, 74806, 39083, 28320, 10676, 105687, 1644, 6, 4, 50180, 101296, 710, 3373, 26, 95766, 6, 130991, 4151, 13342, 4, 7369, 4852, 39083, 7265, 220224, 23269, 1470, 75230, 15388, 132025, 98055, 1211, 6319, 23173, 51723, 5, 123736, 148346, 6093, 6, 124470, 710, 171665, 6293, 37826, 7369, 6, 148346, 710, 16932, 69741, 23093, 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 ]
[ 40096, 230764, 4151, 17190, 82576, 17310, 2200, 37826, 230764, 1285, 136645, 12483, 8903, 148346, 213783, 4269, 64260, 6, 4, 7369, 170479, 22753, 192183, 12483, 163139, 35189, 6, 104149, 5, 2200, 6, 64260, 15, 35189, 81444, 4852, 123329, 137, 64260, 155, 2205, 6235, 159696, 1211, 4151, 1470, 54260, 2932, 114436, 364, 75230, 104238, 160204, 6, 4, 7265, 119055, 13845, 12984, 6093, 37826, 40026, 6093, 132025, 8903, 506, 75230, 148346, 1211, 6, 75230, 1211, 137, 26612, 4667, 6, 4, 16175, 54260, 6093, 874, 54260, 55546, 155, 292, 6, 64260, 15, 92500, 35189, 148346, 54260, 151614, 148346, 1211, 7746, 120202, 8903, 121865, 1211, 2205, 4838, 88660, 2865, 22426, 48904, 710, 96302, 76961, 224252, 15529, 96302, 21106, 119718, 10705, 83182, 4, 199145, 220224, 49008, 133190, 6, 148346, 107050, 3069, 6, 87311, 67873, 10676, 6, 238144, 97634, 2932, 4, 1285, 6, 148346, 135118, 95494, 23741, 6, 4, 1285, 56170, 1644, 75230, 2442, 65482, 9424, 77188, 28726, 4944, 4484, 54260, 2882, 4, 1285, 22753, 36419, 56170, 8300, 119718, 710, 21066, 17310, 3120, 2947, 304, 97634, 2865, 59929, 6, 212915, 21733, 54260, 119132, 55242, 1644, 59461, 16, 292, 6, 64260, 3056, 22753, 74806, 57277, 49008, 56170, 220224, 1211, 6, 148346, 105330, 2205, 11265, 119859, 57619, 1211, 192556, 850, 103023, 1211, 7508, 54260, 7611, 5, 7369, 37826, 4151, 148346, 54260, 1751, 75230, 1211, 19302, 29766, 2200, 6428, 54260, 2882, 44779, 35189, 46590, 2882, 95455, 1470, 54260, 23269, 4, 36324, 7369, 3056, 4838, 56170, 7201, 21106, 114436, 4, 230764, 1470, 54260, 148346, 7682, 4838, 7201, 23173, 7201, 21106, 114436, 5, 137, 29257, 6, 4, 874, 54260, 1211, 34076, 7682, 4, 874, 54260, 1211, 6, 84577, 10918, 4484, 17310, 155, 292, 37826, 7369, 6235, 4852, 109226, 7201, 23173, 8300, 119718, 710, 10813, 2882, 7265, 6, 47351, 1470, 54260, 57619, 123329, 2190, 148346, 6093, 8903, 42695, 16932, 6319, 203749, 16870, 123329, 160204, 7201, 48775, 39293, 4, 119055, 13845, 107581, 4151, 6, 29766, 39340, 82576, 37826, 1470, 75230, 4667, 3120, 220224, 1211, 220224, 2882, 9213, 148346, 6093, 8903, 63751, 2882, 2200, 9213, 148346, 6093, 8903, 4484, 203749, 2882, 5, 22753, 3056, 182261, 6235, 159696, 1211, 17288, 104238, 37640, 66293, 23847, 88917, 97634, 1211, 7265, 9424, 238144, 165284, 33225, 2200, 37826, 7746, 3120, 6428, 99766, 7265, 17824, 75230, 2702, 8903, 46590, 6235, 159696, 16747, 2882, 6, 23173, 137377, 3069, 4151, 6319, 119718, 41595, 4113, 5, 292, 137, 2648, 54260, 1211, 3056, 874, 54260, 1211, 364, 23173, 7611, 155, 292, 506, 64260, 7369, 6, 68558, 74806, 2865, 92605, 4, 123736, 148346, 6093, 230764, 220224, 6093, 4838, 9424, 77188, 28726, 12984, 6, 4, 185527, 163139, 140746, 56170, 30473, 104238, 2882, 6, 68558, 4838, 85346, 874, 39083, 2200, 37826, 7746, 4151, 148346, 54260, 6, 21106, 7611, 6, 148346, 48904, 905, 56169, 7265, 4151, 55242, 1644, 148346, 6093, 10184, 40505, 5, 4151, 113889, 4667, 3056, 7369, 190800, 8903, 240863, 12483, 10676, 119859, 57619, 1211, 16175, 39083, 54260, 16932, 6, 148346, 15533, 3069, 4151, 55242, 13805, 16932, 165284, 55823, 2200, 3069, 8903, 8903, 148346, 1211, 12, 37271, 2808, 54260, 148346, 7682, 124724, 6235, 506, 6093, 6255, 2004, 73784, 77208, 37826, 7369, 6235, 212484, 2882, 22753, 20260, 12483, 1285, 43649, 448 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2808, 75230, 6293, 4838, 9424, 12483, 32887, 59461, 2200, 37826, 4151, 16629, 16932, 2882, 6, 23173, 75230, 2702, 8903, 148346, 189623, 98833, 220224, 1211, 12, 37271, 4484, 23173, 51723, 6255, 151614, 148346, 1285, 4667, 3944, 148346, 2909, 230764, 4151, 160238, 1644, 21660, 16932, 22753, 1644, 148346, 4113, 37826, 6093, 4151, 148346, 54260, 6, 238144, 97634, 2932, 103023, 6235, 8300, 75230, 15388, 4, 6, 148346, 15533, 7508, 68313, 9213, 148346, 6093, 8903, 240863, 12483, 2205, 10676, 23847, 88917, 92605, 29766, 2648, 3120, 137, 10069, 4667, 2909, 2451, 6, 101328, 4, 6, 101328, 38, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 7265, 4838, 1751, 159696, 2442, 6235, 144754, 92500, 56170, 236376, 4838, 6, 225975, 8903, 97634, 1211, 2200, 125523, 6, 23173, 54260, 23405, 48350, 21660, 2882, 1285, 141879, 22426, 1644, 174121, 119055, 10705, 76961, 151614, 148346, 1211, 6235, 119718, 10705, 13497, 81829, 34076, 7682, 10676, 4231, 17310, 1211, 6, 101328, 39293, 236512, 31467, 20315, 2050, 6, 186145, 33225, 7746, 1751, 28320, 123736, 7916, 138194, 4, 4838, 94741, 20260, 119055, 13845, 12984, 3373, 26, 68313, 56170, 70845, 10705, 2865, 24621, 2932, 44779, 6235, 159696, 1211, 4151, 98252, 75290, 5, 182261, 37826, 7369, 1751, 75230, 1211, 6235, 192575, 2882, 20315, 4852, 77188, 52541, 6, 4, 163139, 6319, 23173, 51723, 37826, 1751, 75230, 1211, 6235, 506, 40096, 56170, 71804, 23405, 2882, 3120, 70845, 125523, 94626, 6093, 3069, 220224, 1211, 17824, 75230, 46053, 56170, 13982, 120467, 5, 81050, 7265, 194706, 2205, 1285, 6, 61541, 56880, 3131, 22426, 186955, 1211, 5, 119718, 15350, 35189, 4, 81444, 4667, 7508, 54260, 1211, 6, 148346, 212484, 1211, 6428, 99766, 1285, 163139, 198093, 292, 506, 29771, 148346, 1211, 220224, 70845, 6235, 4852, 109226, 2205, 4838, 3496, 29766, 5, 874, 26, 506, 64260, 220224, 6, 119859, 69106, 6, 148346, 160022, 221387, 29771, 33225, 1285, 6, 159696, 21295, 292, 3373, 26, 13982, 133671, 7243, 6319, 54260, 1211, 9934, 29766, 15388, 4, 10705, 2865, 148346, 26612, 23847, 65482, 56169, 6428, 54260, 1211, 10339, 64260, 6093, 212394, 7201, 29766, 2808, 75230, 2702, 292, 1285, 657, 75230, 16932, 2702, 4, 4113, 6, 84577, 10918, 4484, 17310, 4, 10069, 32054, 54260, 506, 54260, 2882, 4, 1285, 32054, 54260, 506, 54260, 2882, 6, 71804, 40920, 711, 2442, 6093, 9424, 75230, 148346, 6093, 76776, 48974, 2947, 363, 101328, 4, 6, 101328, 292, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6, 113889, 4944, 75322, 39083, 6235, 225975, 2882, 2200, 2205, 14004, 148346, 6093, 8903, 240863, 12483, 3069, 4838, 6, 59919, 16932, 6, 170355, 4667, 6, 4, 3069, 5332, 22426, 13159, 220224, 6093, 3944, 148346, 2702, 2200, 72577, 2702, 5, 14004, 66293, 10339, 129071, 199145, 3373, 26, 68313, 163139, 35189, 6235, 159696, 1211, 5332, 22426, 13159, 32054, 48904, 8300, 75230, 4852, 13456, 2702, 4, 30473, 49008, 20033, 4838, 73486, 40096, 36324, 75230, 6, 238144, 29171, 131397, 103023, 163139, 2205, 10676, 6, 4, 199145, 3373, 26, 506, 64260, 119718, 710, 35189, 6235, 506, 6093, 29659, 4151, 8580, 6, 123559, 16932, 152185, 4269, 54260, 16803, 5, 3373, 26, 68313, 6235, 159696, 1211, 4838, 3373, 39083, 29771, 8903, 170355, 23405, 3111, 46685, 4, 4838, 137, 8903, 148346, 29060, 155, 3120, 4151, 10339, 26612, 33809, 16803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 137377, 123073, 3120, 37189, 113889, 5, 3373, 26, 68313, 23173, 75230, 2702, 8903, 186145, 28320, 37922, 72321, 4, 1470, 54260, 59461, 220224, 6093, 4838, 177157, 22426, 40096, 152185, 4, 199145, 37826, 6235, 506, 54260, 46053, 119055, 21106, 35596, 8580, 4, 123736, 148346, 6093, 364, 183718, 6319, 59929, 205416, 22426, 37826, 70845, 67826, 44478, 506, 54260, 2882, 132025, 8903, 225164, 4838, 83182, 3131, 4, 7265, 4838, 364, 54260, 123103, 53414, 4, 6, 238144, 97634, 93238, 133671, 6, 113889, 51723, 4, 292, 10676, 113889, 51723, 3120, 1470, 54260, 119132, 119055, 13845, 12984, 7369, 37826, 2205, 4838, 364, 75230, 104238, 874, 120467, 155787, 35596, 42733, 31623, 54196, 7265, 10676, 6, 201237, 6093, 3120, 6, 78683, 119364, 6, 23173, 75230, 2702, 6, 4, 3496, 64260, 3131, 4151, 141879, 17800, 64260, 6235, 506, 40096, 4838, 3373, 4667, 4838, 1751, 114436, 4113, 43649, 448, 5, 3373, 26, 2808, 26, 8580, 6235, 159696, 1211, 4838, 43649, 23173, 75290, 2200, 119055, 23173, 4113, 46685, 6, 148346, 23173, 15907, 68558, 2200, 220224, 1211, 6235, 170355, 23405, 3056, 6235, 159696, 1211, 29434, 42733, 26612, 4944, 7682, 5, 46598, 3056, 6, 148346, 26612, 3131, 57277, 49008, 3120, 9424, 119718, 710, 97121, 506, 36326, 3373, 226112, 33225, 1285, 200795, 2200, 1644, 21660, 18415, 4, 6235, 234221, 2205, 21776, 7972, 46677, 56880, 3496, 23173, 129071, 6093, 4, 64699, 2205, 48706, 15350, 3120, 80453, 64260, 119273, 84577, 65689, 3496, 29766, 21106, 4, 2200, 3120, 4838, 119055, 2808, 75230, 44478, 152185, 174538, 34575, 29771, 55823, 4, 26612, 7038, 46545, 12415, 16932, 192956, 2442, 4, 4838, 3944, 40920, 75230, 29171, 6093, 4, 123736, 148346, 6093, 4151, 148346, 54260, 1470, 75230, 4667, 4838, 21776, 7972, 8903, 168155, 5, 95455, 3056, 1470, 105405, 44779, 6235, 905, 12483, 95455, 9721, 48904, 13342, 30473, 98071, 94790, 16932, 4113, 4113, 119718, 120467, 37826, 6235, 105235, 20911, 4151, 8580, 5, 4151, 101251, 8903, 39293, 114436, 37826, 6235, 4852, 109226, 2808, 75230, 148346, 3496, 26, 94741, 63020, 56170, 212484, 1211, 2865, 54260, 1211, 6235, 7972, 148346, 2882, 10339, 64260, 6093, 212394, 292, 92500, 7369, 37826, 4151, 148346, 54260, 6235, 159696, 16747, 2882, 220224, 1211, 6, 148346, 92983, 73784, 11211, 17017, 65689, 364, 23173, 4, 6093, 170479, 70845, 230764, 4151, 9424, 54260, 2882, 6, 148346, 26612, 16629, 64213, 6, 109995, 3944, 148346, 4113, 1751, 159696, 82576, 38, 7369, 3056, 26612, 159696, 4484, 2205, 46050, 2932, 4151, 6, 166198, 2050, 3056, 6235, 119718, 29766, 1211, 4838, 33960, 104238, 4, 3056, 6235, 119718, 29766, 1211, 10705, 13497, 6093, 23269, 46685, 13456, 4, 292, 170479, 1211, 161048, 18630, 210404, 2200, 9934, 29766, 2932, 4269, 54260, 1211, 3069, 4838, 50853, 112272, 28633, 5, 6093, 4, 4151, 101251, 8903, 39293, 114436, 4, 119055, 29060, 6428, 99766, 1211, 4, 119055, 10705, 1285, 620, 26612, 40920, 119055, 29060, 220224, 1211, 75322, 29659, 23173, 152194, 1211, 364, 54260, 2702, 4, 119055, 10705, 1285, 3373, 171665, 5927, 119055, 29060, 220224, 1211, 73784, 17824, 119273, 1211, 4, 119055, 23173, 33225, 4852, 18167, 1470, 75230, 33225, 24377, 22492, 7038, 46545, 4, 80839, 2050, 2200, 32054, 48904, 8300, 75230, 4852, 13456, 5, 123736, 148346, 6093, 1470, 75230, 148346, 4269, 64260, 159696, 2882, 70845, 6, 148346, 26612, 86733, 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 ]
[ 7369, 170479, 4838, 159696, 4484, 3069, 70845, 2205, 11211, 17017, 292, 37826, 7369, 8903, 4852, 109226, 292, 119055, 29060, 7369, 3120, 6428, 99766, 4838, 40920, 17310, 6235, 148346, 1211, 230764, 137, 79761, 2909, 7265, 10676, 64260, 2865, 59929, 6, 212915, 4, 4151, 9424, 75230, 148346, 139365, 23173, 2932, 6, 12483, 132, 63258, 2947, 617, 97634, 2865, 59929, 6, 212915, 37271, 79761, 155, 37826, 7369, 6235, 2865, 54260, 13497, 1285, 1751, 159696, 82576, 5, 364, 183718, 6319, 59929, 205416, 22426, 1211, 37826, 13159, 37640, 16747, 119273, 159696, 15388, 16175, 32097, 6, 61397, 54196, 2200, 6, 109995, 6, 61397, 54196, 4484, 54260, 2882, 37826, 7243, 2808, 75230, 111137, 506, 77188, 6, 148346, 15533, 73784, 56976, 4, 119055, 12483, 4151, 7369, 192956, 2442, 3373, 39083, 2648, 40096, 37826, 144754, 8903, 4852, 109226, 7265, 1285, 874, 91595, 125897, 3496, 29766, 21106, 92605, 29766, 35465, 12, 29771, 4, 364, 23173, 3120, 11211, 17017, 4, 56170, 119132, 874, 54260, 1211, 160751, 29060, 4, 119132, 2205, 6428, 54260, 1211, 1751, 85549, 874, 23173, 119859, 121865, 711, 119718, 710, 16932, 3056, 2205, 4151, 162726, 174121, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 3373, 4667, 5, 20033, 7508, 54260, 35465, 21847, 75230, 148346, 1211, 20033, 4, 6, 159696, 15388, 11265, 58571, 7611, 4, 163139, 1644, 364, 183718, 6319, 59929, 205416, 22426, 37826, 22753, 36324, 75230, 2808, 75230, 101608, 8903, 238144, 5666, 44779, 3944, 148346, 6235, 506, 40096, 2200, 1470, 75230, 4667, 4151, 7201, 23173, 6, 238144, 1644, 22753, 119055, 29060, 1751, 109636, 16932, 6, 148346, 54260, 4838, 55242, 21295, 114436, 6235, 147713, 5927, 54260, 2882, 125523, 46440, 1211, 4838, 6235, 119718, 710, 36419, 7508, 39083, 5, 182261, 2932, 54260, 12483, 20033, 9213, 148346, 6093, 3069, 4838, 37640, 217814, 2200, 158628, 1751, 46545, 3120, 4151, 6, 139485, 22426, 65482, 216510, 4113, 10339, 26612, 119718, 29766, 161577, 5, 95455, 182261, 125897, 3056, 1751, 75230, 1211, 28415, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 32054, 48904, 8300, 75230, 4852, 13456, 2702, 4, 133190, 220273, 4838, 46590, 905, 5332, 22426, 13159, 3373, 109636, 42180, 1644, 2200, 6, 148346, 165592, 88917, 93497, 6428, 54260, 48253, 13456, 2702, 4, 1470, 75230, 4667, 7243, 3120, 6319, 54260, 1211, 120202, 123073, 4, 133190, 4838, 88911, 4, 22639, 2702, 69355, 4231, 114436, 3944, 35189, 4, 199145, 220224, 49008, 10339, 39083, 13805, 152440, 12130, 2200, 874, 54260, 82576, 159696, 24152, 3069, 5, 235210, 12483, 6, 4, 2200, 6, 57277, 39340, 236512, 31467, 10676, 6, 226112, 98833, 8947, 230764, 7746, 220224, 1211, 6, 148346, 165592, 88917, 53414, 2932, 34533, 78683, 12666, 13845, 2882, 28726, 12984, 33414, 19785, 27, 3069, 199145, 1285, 657, 48904, 8903, 6, 75230, 2648, 705, 8947, 2205, 6235, 4113, 159696, 1211, 53117, 31467, 77188, 2702, 137, 7972, 16747, 5666, 148346, 75230, 2050, 155, 6, 4, 3373, 26, 68313, 6235, 159696, 1211, 7243, 5332, 22426, 13159, 4838, 83182, 3131, 4, 163139, 2648, 120467, 6, 21106, 18415, 364, 54260, 2865, 40697, 88911, 137, 148346, 54260, 2050, 6, 148346, 15529, 119132, 56170, 1211, 16175, 75230, 6093, 2909, 26612, 32887, 5666, 29766, 34533, 37826, 8947, 6235, 4852, 109226, 130170, 1211, 4838, 88660, 2865, 22426, 48904, 710, 96302, 3120, 4484, 71804, 119718, 9221, 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 ]
[ 4838, 69512, 212915, 7265, 16175, 129071, 2200, 74806, 2865, 92605, 4, 199145, 37826, 6235, 4113, 88660, 13497, 6, 148346, 26612, 506, 183512, 1644, 12483, 220224, 1211, 41764, 134193, 1211, 2200, 3069, 5666, 32792, 11211, 17017, 506, 75230, 12984, 6235, 2932, 5666, 29659, 183512, 144754, 4838, 3373, 4667, 19302, 23964, 95494, 23741, 4, 65146, 7682, 21106, 13456, 6, 105780, 8903, 46590, 2200, 21776, 10918, 57277, 205416, 40697, 55823, 98071, 4484, 54260, 28320, 5, 20033, 76961, 6, 238144, 46053, 36324, 95455, 49920, 192956, 88911, 19302, 23174, 2882, 2205, 874, 75230, 1644, 69355, 10339, 39083, 4484, 2200, 3120, 114955, 4838, 6, 148346, 710, 35044, 4838, 83182, 3131, 163139, 2205, 119166, 16803, 8903, 170355, 23405, 5, 2648, 99766, 1211, 119055, 77188, 8947, 3373, 26, 62763, 56170, 2808, 54260, 5666, 7201, 26612, 40920, 119055, 77188, 3373, 226112, 7916, 3131, 190800, 8903, 119718, 183216, 657, 75230, 2882, 4151, 364, 75230, 22426, 2882, 24621, 1644, 142429, 17645, 4, 2205, 4151, 9424, 54260, 2882, 4, 119055, 12483, 6, 64260, 10069, 117902, 172060, 44478, 4113, 3944, 142170, 119055, 77188, 2205, 123736, 215206, 24295, 21106, 119055, 23173, 710, 98071, 33716, 2205, 874, 39083, 1751, 75230, 1211, 6, 148346, 54260, 35189, 9424, 238144, 16932, 3120, 76961, 4838, 40920, 8300, 54260, 1644, 125897, 3373, 226112, 33225, 110573, 10069, 6, 148346, 54260, 2050, 10184, 217814, 1211, 45521, 68959, 119718, 710, 35189, 230764, 6, 47351, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 1751, 54260, 119132, 185527, 9213, 148346, 6093, 13342, 2932, 54260, 1211, 2205, 79761, 5, 6, 148346, 54260, 1285, 137, 4484, 21106, 18415, 163139, 198093, 155, 6, 238144, 16932, 2200, 6, 148346, 54260, 2050, 364, 36609, 6, 4, 199145, 147582, 2882, 35189, 9424, 75230, 148346, 139365, 23173, 5666, 91809, 23173, 137377, 3120, 6319, 137377, 6, 4, 119055, 77188, 8947, 29434, 75322, 40096, 13456, 1470, 75230, 111137, 148346, 88917, 1211, 2200, 8947, 6235, 7916, 13497, 4852, 18167, 7369, 29659, 98252, 2205, 1285, 141879, 29434, 54260, 6, 59919, 56880, 3120, 4151, 29434, 15907, 93497, 226112, 30750, 6, 4, 119055, 13845, 107581, 119055, 53414, 9213, 148346, 6093, 8903, 42695, 2882, 4, 110573, 10069, 874, 26, 4852, 39083, 192183, 12483, 1285, 6, 170355, 4667, 2808, 75230, 4944, 75230, 183216, 5, 1285, 1470, 54260, 105405, 44779, 6, 148346, 26612, 8300, 119718, 23174, 188301, 4113, 119055, 141943, 17310, 3120, 4151, 48277, 142429, 710, 37016, 177148, 6, 23173, 75230, 2702, 29434, 54260, 874, 39083, 6, 4, 23050, 2865, 44779, 2205, 4151, 874, 142429, 15096, 9221, 213952, 6093, 9424, 119718, 15907, 150839, 13845, 16803, 2200, 73784, 29434, 161577, 874, 39083, 292, 6, 148346, 54260, 4151, 9213, 148346, 6093, 42695, 17310, 3120, 4151, 141879, 2442, 364, 21106, 148346, 6093, 3373, 226112, 55823, 5, 137, 42421, 6, 148346, 8580, 6255, 874, 48904, 107581, 165284, 152848, 2909, 1285, 81444, 4852, 125897, 148346, 26612, 8300, 75230, 148346, 6093, 213952, 4113, 119055, 141943, 17310, 4, 119055, 13845, 107581, 20033, 163139, 67873, 7243, 3069, 113889, 35596, 6, 148346, 23173, 52541, 144754, 119055, 6093, 16932, 4, 107776, 160238, 2205, 1285, 6, 170355, 7611, 7201, 48775, 2932, 96302, 1211, 12, 137, 905, 29771, 874, 48904, 4944, 13159, 3944, 148346, 4113, 119718, 99766, 2004, 137, 21106, 2702, 34654, 73381, 12483, 22753, 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 ]
[ 20033, 3069, 2004, 137, 43178, 2865, 59919, 13497, 10339, 68558, 6, 17645, 119132, 6, 99766, 2909, 1285, 506, 109316, 2200, 119055, 23173, 4113, 24621, 4, 6235, 7511, 97634, 18415, 27105, 125897, 43649, 448, 4, 199145, 3056, 14856, 150541, 6235, 5666, 54260, 98833, 73784, 620, 72158, 64213, 37826, 95455, 1470, 15907, 44779, 874, 39083, 6235, 4852, 109226, 7265, 36324, 75230, 46590, 14004, 194734, 186461, 35596, 6235, 46590, 56170, 4151, 1751, 54260, 20260, 54260, 2882, 3120, 4151, 6, 170355, 4667, 6, 4, 36324, 3373, 26, 506, 64260, 20315, 2050, 3069, 506, 6093, 6093, 230764, 6, 47351, 101251, 8903, 120749, 1211, 185527, 4838, 6, 119132, 8903, 97634, 1211, 6, 148346, 54260, 2050, 364, 23173, 7611, 4, 1982, 79989, 125523, 36324, 4151, 6319, 171127, 44478, 37826, 56170, 3131, 57277, 49008, 3069, 56170, 29659, 23173, 38249, 122623, 163139, 24152, 17310, 37729, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 364, 23173, 10918, 39340, 6, 88660, 23741, 114436, 6, 148346, 54260, 1285, 104238, 2884, 137, 13342, 1470, 30682, 205026, 107020, 46685, 7201, 99766, 155, 137, 506, 63188, 12023, 16747, 16803, 18133, 1285, 59461, 77525, 2909, 1054, 54260, 16932, 6, 148346, 54260, 2050, 9213, 148346, 6093, 63751, 1211, 10676, 158628, 1211, 564, 53414, 10676, 137, 29257, 10184, 152848, 34575, 77525, 4113, 6428, 99766, 26, 37826, 7369, 95455, 119055, 99766, 137, 7916, 16747, 119273, 155, 73784, 7369, 29659, 1211, 874, 39083, 23173, 75230, 4944, 8903, 4852, 109226, 7265, 4838, 99509, 6093, 4, 56170, 148346, 135118, 16932, 6, 148346, 60071, 2882, 2200, 7369, 29659, 73784, 8300, 119718, 161577, 874, 39083, 163139, 10676, 9424, 23173, 2882, 119364, 46654, 165592, 151227, 29060, 5, 165592, 75230, 43375, 6, 159696, 15388, 10676, 88911, 2200, 220224, 1211, 1470, 75230, 2702, 91163, 17310, 5, 20033, 192183, 12483, 7746, 2808, 54260, 50856, 54260, 35465, 36324, 3373, 26, 95766, 194706, 2205, 1285, 40026, 6093, 2648, 125897, 10339, 21106, 1211, 6, 195054, 109226, 178766, 4113, 3069, 506, 6093, 93497, 6, 23173, 24295, 13342, 23269, 148346, 1211, 28415, 238144, 29171, 6093, 4838, 56170, 105235, 16747, 161829, 56170, 35189, 22639, 15231, 46685, 56170, 2808, 41595, 123073, 115398, 158652, 54260, 2882, 6, 4, 119055, 13845, 107581, 364, 183718, 6319, 59929, 205416, 2050, 37826, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 41103, 148346, 710, 1285, 41764, 12415, 119718, 710, 147713, 9221, 18415, 116486, 2932, 48775, 2050, 3111, 46685, 1211, 564, 2884, 220224, 23269, 6, 76776, 40920, 88660, 57619, 77188, 1211, 5, 123736, 148346, 6093, 6235, 148346, 1211, 3069, 56170, 29659, 54260, 1211, 6, 4, 199145, 3373, 26, 506, 64260, 56170, 70845, 6, 148346, 93704, 15907, 81444, 4944, 141879, 6, 64260, 2648, 120467, 6, 21106, 18415, 88911, 137, 7972, 16747, 43178, 148346, 75230, 2050, 2004, 292, 95455, 2205, 3131, 75230, 1211, 4838, 6, 148346, 8580, 220273, 1751, 159696, 25207, 130170, 23269, 2865, 17310, 4, 2200, 874, 26, 26892, 132025, 101470, 1285, 506, 4113, 4944, 80885, 160238, 75230, 4944, 46545, 54260, 2882, 2205, 4151, 1470, 41595, 232187, 42180, 4, 1470, 75230, 148346, 20033, 163139, 67873, 7243, 46685, 6319, 21106, 17645, 193178, 163139, 56170, 120749, 1211, 5, 2947, 910, 97634, 2865, 59929, 6, 212915, 62808, 6, 159696, 67873, 8947, 4838, 159696, 4484, 128540, 36324, 75230, 12, 4838, 4269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 175483, 6093, 95455, 364, 54260, 16803, 292, 26612, 6, 148346, 93704, 54260, 2882, 213952, 6093, 6235, 2932, 5666, 29659, 183512, 2205, 1470, 54260, 105405, 44779, 4151, 7201, 23173, 137, 148346, 93704, 54260, 2882, 213952, 155, 238144, 1644, 7369, 4269, 54260, 2882, 4838, 12415, 148346, 6093, 1285, 1470, 54260, 2932, 65482, 17824, 65482, 7611, 4, 6, 238144, 1644, 7369, 3056, 4151, 2808, 75230, 92904, 43082, 2200, 6, 140746, 148707, 204403, 5666, 35596, 3120, 4838, 4269, 54260, 4944, 46545, 21106, 8903, 2865, 54260, 59461, 1211, 6235, 2932, 5666, 29659, 183512, 3120, 4838, 4269, 48904, 89930, 6235, 46590, 92500, 67826, 2865, 17310, 159696, 21295, 4, 119055, 13845, 107581, 6235, 7916, 13497, 35189, 8580, 28415, 238144, 29171, 6093, 11265, 99509, 104378, 177157, 148346, 39083, 5, 4151, 144754, 874, 119273, 18225, 2808, 54260, 105405, 44779, 1285, 874, 212479, 3120, 220224, 1211, 6, 148346, 93704, 54260, 2882, 17310, 5, 6, 159696, 16932, 2205, 1285, 3944, 148346, 4113, 3069, 165592, 26612, 6235, 2932, 5666, 29659, 183512, 1470, 75230, 4667, 137, 148346, 93704, 54260, 2882, 213952, 2909, 22753, 6, 225975, 2882, 5332, 22426, 13159, 1470, 75230, 2702, 6, 159696, 15388, 17645, 119132, 6, 4, 119055, 13845, 104238, 6, 226112, 98833, 22753, 2205, 7746, 4, 22753, 3496, 23173, 129071, 6093, 15533, 54196, 220224, 1211, 56170, 506, 13845, 2882, 161829, 3069, 6, 17645, 119132, 6, 21106, 8903, 9719, 119132, 6, 4, 3069, 4231, 114436, 6, 159696, 21295, 4, 119055, 13845, 107581, 119055, 77188, 7201, 23173, 186145, 28320, 37729, 10676, 6235, 2932, 5666, 29659, 183512, 2200, 119055, 13845, 107581, 7369, 37826, 2205, 6, 64260, 20315, 2050, 6235, 2932, 5666, 29659, 183512, 3944, 148346, 6, 148346, 26612, 119718, 10705, 16803, 30473, 29171, 84475, 101251, 148346, 26612, 119718, 10705, 16803, 30473, 29171, 5, 119718, 15350, 18225, 34076, 75230, 148346, 1211, 6, 4, 36324, 178766, 41764, 40714, 16932, 45223, 2648, 2205, 125523, 36324, 75230, 46590, 92500, 36324, 75230, 212413, 6, 101328, 61621, 3120, 49920, 107182, 13456, 109636, 94741, 2932, 29771, 62073, 6093, 43649, 54260, 61397, 17310, 6235, 3111, 98833, 32097, 6, 23173, 54260, 5666, 8903, 186145, 28320, 2205, 4269, 54260, 175483, 1211, 17190, 148346, 1211, 6, 4, 110573, 10069, 7746, 6, 148346, 26612, 119718, 2808, 6, 71616, 3069, 101296, 12984, 1285, 137, 148346, 93704, 15907, 213952, 54260, 2882, 155, 3120, 220224, 1211, 3944, 148346, 4113, 2200, 3120, 11265, 123736, 148346, 710, 87442, 32, 20033, 225975, 1211, 2200, 4151, 8300, 54260, 67873, 6, 4, 36324, 6, 101328, 5, 95455, 88911, 37826, 56170, 70845, 4838, 3373, 4667, 6, 148346, 93704, 15907, 17310, 6, 4, 3373, 14004, 6235, 905, 12483, 564, 23173, 70845, 4838, 64890, 201542, 4113, 6, 159696, 21295, 2200, 4838, 6, 159696, 21295, 4, 159696, 1644, 107581, 7369, 37826, 18330, 124470, 28714, 3944, 148346, 6235, 506, 40096, 6, 4, 119055, 12483, 7243, 292, 119055, 39083, 2882, 7369, 219947, 6235, 159696, 1211, 36324, 75230, 6, 23173, 54260, 23405, 29060, 68558, 2205, 10676, 177157, 148346, 39083, 11265, 1211, 5, 127461, 1054, 54260, 12984, 119718, 120467, 20033, 7508, 54260, 35465, 6, 4, 6, 148346, 14236, 20033, 33960, 148346, 1211, 3069, 292, 23165, 4838, 6, 148346, 710, 35044, 7243, 19302, 29766, 2451, 165592, 220224, 1211, 105687, 1644, 119055, 39083, 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 ]
[ 7746, 4838, 83182, 3131, 6235, 159696, 1211, 1470, 75230, 2702, 8903, 29659, 186955, 93449, 119055, 12483, 4852, 54260, 1211, 6235, 144754, 119055, 39083, 2882, 7243, 6235, 159696, 1211, 2205, 4151, 17288, 4944, 82576, 874, 120467, 3069, 8903, 23405, 44779, 7201, 29766, 1285, 1751, 54260, 20260, 54260, 28320, 3120, 4151, 6235, 46590, 2702, 59919, 4113, 4, 3120, 10676, 6, 21106, 8903, 56052, 4269, 54260, 175483, 1211, 224220, 22426, 28726, 13805, 6, 4, 119055, 13845, 107581, 95455, 88911, 37826, 230764, 215031, 16175, 32097, 41643, 46036, 103023, 1211, 72841, 1211, 6, 84577, 234221, 2205, 7746, 5, 6, 57277, 39340, 6, 140746, 81444, 4852, 123329, 105687, 1644, 37826, 7265, 8903, 148346, 189623, 98833, 7265, 7746, 43649, 54260, 61397, 17310, 6235, 36326, 161829, 4, 56170, 15231, 7201, 17310, 4, 1470, 75230, 111137, 159696, 20911, 95766, 70845, 21776, 2932, 9221, 17310, 150349, 90848, 148346, 28726, 51723, 119055, 13845, 107581, 151614, 148346, 1211, 70845, 7508, 54260, 6293, 6235, 101296, 40920, 13342, 6, 48904, 17310, 2702, 43375, 6093, 46050, 46545, 6, 148346, 3111, 8903, 6, 64260, 35189, 6, 159696, 21295, 4, 6, 148346, 3111, 8903, 10676, 4838, 148346, 2702, 39083, 36609, 119718, 10705, 83182, 28726, 12984, 177157, 148346, 39083, 11265, 1211, 6, 4, 6, 148346, 3111, 8903, 220224, 1211, 3944, 148346, 4113, 4, 2200, 6, 21106, 7611, 4151, 7916, 33716, 4151, 13342, 36324, 6, 64260, 10069, 29434, 54260, 6, 170355, 12984, 170479, 1211, 6, 23173, 33104, 16932, 190135, 119055, 53414, 10705, 13497, 6093, 1285, 73995, 850, 3120, 6235, 119718, 21292, 1211, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 2947, 966, 35189, 199145, 874, 54260, 13497, 4, 36324, 236512, 31467, 215031, 6, 56052, 9424, 238144, 21066, 12483, 74806, 29060, 6, 47351, 4113, 119718, 10125, 4151, 3944, 148346, 4113, 4, 4231, 114436, 56170, 29659, 54260, 2882, 18330, 124470, 28714, 220273, 219947, 199145, 3944, 148346, 4113, 68313, 36324, 75230, 16667, 5, 56170, 75290, 2882, 6, 4, 1285, 73995, 850, 220224, 49008, 11265, 4113, 6235, 119718, 9221, 64213, 5, 7369, 29659, 4852, 54260, 33960, 148346, 1211, 3069, 4151, 3944, 148346, 4113, 10676, 81444, 61621, 3120, 88911, 5666, 95494, 23741, 6, 4, 36324, 75230, 4, 36324, 874, 26, 119718, 39083, 2882, 119859, 129891, 34076, 54260, 4667, 6235, 88660, 13497, 6, 234221, 1285, 88911, 5666, 95494, 23741, 56170, 9424, 119718, 710, 21066, 188301, 6093, 7972, 148346, 4113, 5, 123736, 148346, 6093, 2205, 199145, 220224, 49008, 6, 148346, 26612, 3131, 57277, 49008, 364, 183718, 6, 78683, 205416, 22426, 2702, 6235, 121865, 16667, 92500, 21776, 2932, 9221, 17310, 2702, 2702, 69096, 850, 6, 148346, 3111, 8903, 4151, 17288, 104238, 6093, 6, 148346, 23173, 91595, 93449, 4484, 54260, 2882, 3120, 220224, 1211, 7972, 148346, 4113, 3069, 10676, 6, 148346, 26612, 8300, 75230, 148346, 6093, 213952, 12483, 88911, 2200, 220224, 1211, 6, 159696, 21295, 705, 119055, 13845, 107581, 3056, 8903, 159696, 1211, 1285, 6, 159696, 21295, 199145, 3056, 74806, 57277, 49008, 364, 41595, 6093, 10676, 4, 36324, 75230, 4, 36324, 7369, 4852, 39083, 4838, 49008, 4151, 8580, 7265, 220224, 1211, 6235, 119718, 21292, 1211, 5332, 22426, 13159, 36324, 75230, 16667, 6, 4, 199145, 874, 26, 205416, 8947, 219947, 3944, 148346, 151614, 148346, 1211, 32, 2702, 26, 68313, 6235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 159696, 1211, 4151, 16175, 75230, 2882, 5, 29771, 148346, 6093, 95455, 3056, 81444, 4667, 4838, 6, 148346, 187327, 74127, 8903, 609, 38, 215031, 119055, 10705, 83182, 44779, 6, 4, 506, 6093, 44779, 88911, 38, 4838, 7508, 54260, 1211, 119166, 16803, 159696, 24152, 4, 6235, 148346, 75230, 61621, 3120, 1285, 141879, 2200, 506, 54260, 105330, 4944, 18415, 86510, 161829, 1211, 3120, 10339, 39083, 13805, 8903, 144754, 74, 95455, 17288, 4944, 80885, 56170, 24621, 15388, 2648, 120467, 11265, 148346, 145161, 3120, 4151, 364, 23173, 10918, 4484, 54260, 2882, 6, 4, 3120, 4151, 3944, 148346, 28726, 4944, 4484, 54260, 2882, 6, 186955, 1211, 38, 199145, 7201, 23173, 4838, 7544, 10705, 36419, 56170, 84316, 22426, 1644, 17310, 2808, 54260, 6235, 119718, 21292, 4, 6235, 119718, 2702, 38, 95455, 3056, 6235, 159696, 1211, 6, 148346, 137127, 1751, 54260, 1211, 4, 4151, 8580, 37826, 8903, 192575, 2882, 874, 56401, 220224, 1211, 148932, 115556, 7265, 15622, 25391, 5, 2200, 81444, 4667, 3056, 364, 41595, 6093, 123736, 46104, 46598, 3944, 148346, 1211, 116486, 108264, 2882, 74806, 57277, 49008, 4151, 16175, 75230, 2882, 5, 8947, 37826, 6235, 506, 40096, 1751, 54260, 182351, 1211, 13342, 70845, 6, 4, 119055, 13845, 107581, 874, 26, 506, 64260, 6235, 88660, 13497, 3944, 148346, 151614, 148346, 1211, 4, 123736, 148346, 6093, 874, 26, 506, 64260, 7746, 4151, 148346, 710, 48904, 17310, 2702, 43375, 25207, 25222, 25207, 184855, 6235, 88660, 13497, 120202, 8903, 148346, 1211, 4838, 42355, 905, 31581, 31467, 2884, 6, 159696, 15388, 4838, 6, 148346, 26612, 29659, 52480, 16932, 101251, 35189, 1644, 75230, 148346, 158652, 54260, 2882, 3120, 4151, 81444, 4852, 123329, 3944, 148346, 4113, 5, 657, 75230, 2882, 10676, 1470, 54260, 8903, 119132, 36925, 2200, 6, 159696, 56880, 37826, 2181, 6235, 88660, 13497, 220224, 1211, 7243, 177157, 22426, 40096, 17645, 159308, 2882, 75230, 2882, 4, 133190, 5332, 22426, 13159, 220224, 6093, 10339, 39083, 152194, 52480, 44779, 28726, 148346, 16870, 116367, 4, 123736, 148346, 6093, 1285, 4269, 54260, 175483, 4113, 177157, 22426, 40096, 17645, 56170, 10676, 3056, 6235, 159696, 1211, 292, 177157, 22426, 40096, 17645, 56170, 1211, 16175, 75230, 2882, 5, 1644, 13060, 31467, 135542, 506, 37826, 8947, 6235, 88660, 13497, 220224, 1211, 657, 75230, 16932, 4113, 21776, 7972, 46677, 4852, 16580, 2882, 6, 4, 95455, 17190, 148346, 16870, 125897, 4838, 7972, 98071, 1211, 292, 95455, 37826, 18225, 6, 148346, 60732, 72841, 1211, 7243, 6235, 88660, 13497, 9213, 148346, 6093, 3131, 22426, 23173, 1211, 5, 123736, 148346, 6093, 123959, 158628, 1211, 3373, 4667, 506, 171665, 1644, 220224, 49008, 4151, 8580, 6235, 159696, 1211, 6, 148346, 26612, 234221, 25207, 124740, 57277, 28320, 3120, 6, 105780, 82576, 207591, 5, 119718, 120467, 105884, 2882, 7369, 7746, 81444, 1470, 54260, 1211, 38, 292, 123736, 148346, 6093, 7369, 119055, 29060, 8947, 1751, 75230, 1211, 219947, 6, 212484, 1211, 1470, 75230, 49268, 54260, 35465, 7746, 5, 21776, 124740, 57277, 28320, 3120, 6, 105780, 82576, 207591, 4, 10339, 171127, 123073, 2947, 1019, 97634, 2865, 59929, 6, 212915, 25207, 124740, 57277, 28320, 5, 16175, 99766, 52541, 2932, 54260, 16803, 2200, 115374, 1982, 54260, 13497, 28726, 4944, 4484, 54260, 2882, 2205, 145813, 48904, 40697, 3131, 119718, 23173, 26394, 46855, 148346, 97584, 2200, 7265, 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 ]
[ 124470, 26612, 119718, 506, 132025, 29659, 64260, 3944, 148346, 4113, 292, 95455, 6, 21106, 7611, 163139, 26612, 21776, 124740, 2882, 40096, 3120, 46711, 54260, 6093, 80839, 74813, 54260, 2882, 5, 148346, 137127, 6, 4, 4151, 3944, 16932, 40096, 73095, 18415, 2865, 148346, 12415, 7511, 3056, 7243, 6235, 159696, 1211, 4151, 96302, 3131, 4, 3069, 119055, 13845, 12984, 7369, 170479, 151614, 148346, 1211, 10676, 4838, 148346, 2702, 39083, 905, 28320, 3069, 23822, 75230, 4, 123736, 148346, 6093, 6, 150839, 64260, 7746, 4151, 87311, 13497, 1470, 54260, 29171, 4113, 6, 148346, 21106, 6093, 109226, 6, 4, 119055, 13845, 107581, 4151, 19302, 29766, 6093, 6, 123188, 506, 64260, 70845, 6235, 8903, 148346, 1211, 6, 75322, 39083, 4, 7265, 9424, 54260, 28320, 98252, 4, 22639, 171433, 506, 54260, 148346, 3120, 220224, 1211, 49920, 107182, 152185, 6, 78683, 12415, 123073, 6, 159696, 15388, 4269, 54260, 175483, 6093, 137, 72631, 7682, 5666, 54260, 2932, 17310, 155, 2205, 6235, 119718, 710, 36419, 159696, 21295, 1211, 5, 182261, 37826, 7369, 6235, 234221, 6, 4, 36324, 7369, 6, 94741, 63020, 6, 64260, 10069, 132025, 238144, 4852, 17310, 7201, 29766, 30473, 4944, 46545, 3069, 22426, 59929, 1211, 3069, 220224, 1211, 6235, 2932, 5666, 29659, 183512, 5, 73095, 18415, 2865, 148346, 12415, 7511, 37826, 10676, 45521, 113889, 51723, 3120, 4231, 114436, 98252, 5666, 54260, 3111, 23405, 6, 148346, 26612, 8300, 54260, 4944, 13497, 163139, 4838, 137, 25616, 48904, 15307, 54260, 2882, 2004, 292, 3131, 75230, 1211, 95455, 6, 159696, 21295, 148346, 145161, 37189, 27720, 1285, 4269, 34533, 125897, 5332, 204403, 107581, 4, 199145, 6, 148346, 3111, 8903, 11265, 68313, 8947, 6, 130991, 1285, 137, 72631, 7682, 5666, 54260, 2932, 17310, 2004, 3056, 9213, 1982, 4, 657, 75230, 2882, 220224, 1211, 6, 109636, 94741, 2932, 29771, 62073, 1211, 6, 81951, 4, 114564, 7243, 160238, 130991, 137, 25616, 135118, 44779, 2909, 123736, 148346, 6093, 163139, 163177, 79238, 75230, 1211, 4852, 36326, 170479, 364, 183718, 6319, 59929, 205416, 22426, 2702, 6235, 7972, 148346, 2882, 6, 148346, 135118, 95494, 23741, 7972, 2648, 4, 1285, 67826, 2865, 17310, 2702, 59919, 4113, 4, 3069, 119055, 13845, 104238, 3373, 8903, 506, 77188, 4, 2200, 1285, 3944, 148346, 95494, 23741, 3069, 4151, 81444, 4852, 123329, 3373, 59919, 4113, 292, 220224, 1211, 137, 4484, 48775, 20260, 155, 32, 166777, 7243, 38, 95455, 3056, 6235, 159696, 1211, 2648, 120467, 6235, 63532, 44779, 8903, 106559, 80885, 230764, 4151, 49027, 2882, 5, 95455, 3056, 123736, 148346, 6093, 6235, 905, 12483, 26612, 80839, 40920, 4, 199145, 3056, 125523, 182261, 4, 2205, 10676, 6, 87311, 96302, 4, 40026, 3131, 2200, 8903, 4852, 106559, 6, 4, 3056, 123736, 148346, 6093, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 6235, 5666, 54260, 98833, 3069, 9424, 73381, 21106, 18340, 2200, 7201, 75230, 1644, 161829, 5, 8947, 3056, 4151, 17824, 13159, 16932, 6, 173967, 56170, 1211, 6235, 144754, 4, 1470, 75230, 148346, 18225, 8903, 7511, 16803, 3120, 11265, 2205, 4151, 198754, 6093, 238419, 6, 4, 6, 238144, 1644, 7265, 4838, 238419, 1751, 109636, 16932, 6319, 68558, 8947, 1751, 75230, 1211, 56170, 3131, 80453, 54260, 28320, 10339, 75230, 1644, 161829, 2200, 56170, 2648, 23173, 148346, 17310, 9424, 119718, 65689, 35189, 115556, 506, 54260 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 4, 199145, 6235, 7511, 16803, 3120, 11265, 5, 8947, 3056, 6235, 159696, 1211, 4838, 17190, 148346, 16667, 141562, 40920, 199145, 2205, 6235, 148346, 75230, 61621, 6235, 119718, 29766, 1211, 3120, 16175, 75230, 2882, 2200, 37826, 70845, 6235, 226112, 15388, 2205, 7746, 5, 8947, 3056, 6235, 159696, 1211, 95455, 119055, 10705, 83182, 3120, 4151, 3523, 83586, 6, 4, 292, 46891, 95455, 17288, 4944, 80885, 41103, 148346, 710, 4151, 6235, 119718, 21292, 16667, 212484, 6093, 1751, 54260, 20260, 54260, 2882, 2200, 3120, 64260, 35189, 1751, 54260, 20260, 54260, 2882, 6235, 148346, 35596, 29659, 5, 123736, 148346, 6093, 148932, 190800, 8903, 236376, 1982, 26612, 84577, 119718, 99766, 192956, 2442, 17190, 148346, 16667, 22680, 54260, 13497, 192956, 2442, 4269, 54260, 16803, 4, 7265, 3944, 148346, 4113, 73784, 123736, 48974, 48904, 65689, 506, 64260, 8947, 6235, 192575, 2882, 6, 148346, 26612, 236376, 1211, 7265, 6, 148346, 26612, 68566, 152848, 28320, 60631, 2648, 2200, 8947, 77208, 171665, 1644, 72507, 3120, 86510, 1211, 6235, 119718, 21292, 1211, 6, 234221, 56170, 6, 47351, 64769, 8580, 6, 4, 199145, 874, 26, 94741, 63020, 4269, 81824, 4852, 54260, 1211, 5, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 165217, 101328, 24012, 148346, 75230, 506, 63719, 4, 292, 95455, 2205, 18330, 124470, 28714, 6235, 159696, 1211, 4151, 17824, 88917, 4, 236512, 31467, 119055, 13845, 12984, 874, 26, 506, 64260, 6235, 2648, 23173, 23741, 4269, 81824, 109995, 6, 64260, 1285, 3944, 148346, 4113, 37271, 6, 64260, 10676, 5666, 83586, 8300, 75230, 148346, 6093, 7265, 1285, 37640, 16667, 16932, 4113, 192183, 2702, 37016, 159696, 57619, 1211, 12, 364, 183718, 6319, 59929, 205416, 17748, 8903, 94741, 20260, 12483, 84475, 6, 48904, 17310, 161321, 28726, 364, 21106, 148346, 8903, 94741, 20260, 12483, 220224, 49008, 364, 75230, 4667, 4838, 159696, 4484, 6, 148346, 14236, 6093, 3056, 6235, 39293, 46053, 2205, 1470, 54260, 5666, 235210, 4484, 54260, 2882, 6, 148346, 54260, 76776, 40920, 196991, 220224, 1211, 130170, 8903, 3131, 22426, 23173, 28320, 192575, 7682, 29766, 2884, 5, 220224, 220224, 49008, 6235, 240863, 12483, 17288, 104238, 163139, 21066, 6, 109995, 56170, 29659, 183512, 37826, 8903, 23847, 54260, 40920, 5, 8947, 220224, 49008, 6235, 159696, 1211, 6, 21106, 15949, 189098, 147502, 8903, 29659, 54260, 61397, 18415, 6235, 94741, 20260, 12483, 5, 29771, 4, 7508, 26, 68313, 6235, 159696, 1211, 874, 91595, 7682, 4, 4151, 3523, 83586, 8300, 75230, 148346, 6093, 12, 20033, 76961, 220224, 49008, 6235, 159696, 1211, 220224, 23269, 6, 109995, 2200, 6, 117404, 151614, 148346, 1211, 6235, 88660, 13497, 120202, 97634, 1211, 874, 91595, 125897, 6, 170355, 12984, 230764, 35189, 6, 159696, 21295, 6, 4, 6, 148346, 14236, 20033, 151614, 148346, 1211, 70845, 6235, 2648, 41595, 5, 874, 26, 506, 64260, 7243, 6235, 2648, 23173, 23741, 46685, 6319, 54260, 1211, 6235, 7511, 21106, 131044, 133190, 6, 148346, 1644, 75230, 4852, 4838, 3373, 4667, 28415, 16175, 21106, 35596, 27702, 61621, 18895, 148346, 2442, 69355, 88911, 6, 159696, 15388, 3944, 16747, 5666, 148346, 75230, 2050, 6, 4, 110573, 10069, 163139, 4838, 6319, 171127, 44478, 3120, 3523, 83586, 8300, 75230, 148346, 6093, 13342, 6235, 148346, 1211, 10676, 88911, 34654, 56880, 87311, 46053, 2200, 4151, 144754, 3069, 193178, 130170, 18415, 29171, 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 ]
[ 159696, 21295, 5, 874, 26, 119718, 39083, 2882, 4838, 157614, 905, 119055, 23173, 3131, 54260, 5666, 44779, 6235, 88660, 13497, 6, 148346, 75230, 12483, 4151, 75230, 6293, 874, 12666, 14540, 6093, 2648, 40697, 6, 4, 190800, 2808, 75230, 2702, 7369, 2648, 40697, 874, 12666, 14540, 4, 220224, 6093, 41764, 134193, 4113, 2200, 116486, 23847, 13159, 9221, 213952, 4113, 2200, 6, 148346, 147712, 220273, 219947, 6319, 54260, 1211, 56170, 148346, 135118, 18415, 4, 292, 2205, 119055, 13845, 107581, 95455, 7972, 2648, 119055, 39083, 2882, 4151, 240863, 12483, 3069, 4151, 24012, 35189, 123329, 874, 212479, 3120, 895, 87442, 2442, 152185, 2932, 48775, 87311, 7201, 68558, 192575, 7682, 5, 123736, 148346, 6093, 10676, 88911, 2702, 6, 148346, 13159, 16932, 6, 119312, 119055, 39083, 2882, 81444, 4667, 6235, 159696, 1211, 35189, 4231, 43178, 123329, 4, 119055, 13845, 104238, 119055, 39083, 2882, 220224, 1211, 17190, 148346, 1211, 56170, 89930, 2882, 2205, 110573, 39248, 38054, 133671, 2932, 81824, 4852, 54260, 1211, 9213, 148346, 6093, 7746, 2200, 119055, 39083, 2882, 74806, 205416, 148346, 1211, 7265, 10676, 3523, 54260, 46598, 119055, 99766, 69355, 3944, 148346, 4113, 230764, 1285, 3944, 22426, 1211, 6, 4, 3120, 119055, 13845, 12984, 7369, 119055, 39083, 2882, 125523, 7243, 6235, 119718, 10705, 16803, 4, 119718, 120467, 3069, 7508, 54260, 35465, 5, 8947, 3056, 36324, 75230, 119055, 77188, 6235, 159696, 1211, 3069, 43649, 23173, 148346, 1211, 4151, 7201, 23173, 4, 7201, 23173, 6, 64260, 20315, 2050, 110573, 170763, 115245, 133671, 88911, 38, 123736, 148346, 6093, 119055, 6093, 15857, 29659, 23173, 148346, 2882, 4151, 7201, 23173, 4151, 29659, 23173, 148346, 2882, 1751, 75230, 1211, 7243, 9213, 105405, 44779, 56170, 10676, 2200, 3056, 4838, 45223, 2648, 133190, 35189, 7201, 23173, 4, 6, 238144, 1644, 7369, 43649, 23173, 148346, 2882, 56170, 10676, 3523, 54260, 46598, 4, 56170, 1211, 3523, 54260, 46598, 119055, 99766, 69355, 3944, 148346, 4113, 2200, 2200, 3120, 3069, 17494, 217814, 2205, 220224, 1211, 364, 23173, 710, 292, 292, 22426, 69181, 1211, 5, 2648, 120467, 220224, 49008, 6, 4, 364, 54260, 16803, 8947, 4, 6235, 159696, 1211, 364, 183718, 6319, 59929, 205416, 22426, 2702, 6235, 7972, 148346, 18415, 1549, 1126, 97634, 2865, 59929, 6, 212915, 710, 29060, 161829, 17645, 13720, 8580, 6319, 90848, 88660, 119718, 64310, 2702, 192183, 59919, 43178, 64213, 220224, 49008, 2205, 6, 86138, 3120, 6, 101328, 61621, 26612, 159696, 4484, 230764, 101251, 8903, 120749, 4113, 6, 159696, 15388, 5, 220224, 23269, 160238, 3131, 109226, 2205, 7213, 14540, 3069, 22426, 21087, 4944, 29771, 208048, 1644, 15533, 2200, 82563, 20635, 151614, 148346, 1211, 76961, 874, 39083, 6235, 506, 40096, 6, 47351, 130170, 6093, 2648, 65689, 2200, 6, 78683, 57277, 88660, 2865, 148346, 65689, 3496, 23173, 129071, 6093, 5, 158628, 16667, 4, 123736, 148346, 6093, 4, 22753, 49008, 220224, 1644, 54260, 40920, 6, 4, 6319, 75230, 2050, 6, 148346, 75322, 6093, 4484, 23173, 56170, 1211, 71107, 9213, 148346, 6093, 8903, 240863, 12483, 2205, 4151, 6, 120749, 17310, 3120, 874, 48904, 65689, 6, 4, 190800, 2808, 75230, 2702, 192556, 850, 103023, 1211, 5, 220224, 23269, 6, 59919, 64213, 97634, 2932, 125897, 160238, 226112, 15388, 2205, 8947, 4852, 21106, 4, 1285, 364, 75230, 22426, 57277, 23822, 92605, 42180, 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 ]
[ 6, 48904, 29659, 186955, 4, 35189, 43649, 39083, 7611, 37640, 66293, 116486, 150349, 87442, 6, 64260, 1285, 6681, 226112, 15388, 4, 119055, 13845, 107581, 7369, 37826, 8903, 234221, 2205, 6235, 238144, 5666, 28726, 12984, 145813, 26612, 138194, 90848, 4484, 2200, 2205, 3373, 183512, 21106, 1211, 6, 4, 11211, 194734, 48775, 8903, 2648, 87442, 78104, 31249, 2200, 7265, 6, 47351, 5332, 215052, 64260, 13456, 620, 4113, 22426, 213952, 1211, 6, 92605, 8300, 35596, 56170, 20315, 2050, 101251, 148346, 26612, 159696, 2932, 44779, 3069, 506, 6093, 213952, 1211, 6, 172060, 148346, 7972, 81050, 3120, 6, 75578, 29400, 29771, 6293, 292, 151614, 148346, 1211, 46685, 42493, 6, 148346, 26612, 506, 183512, 21295, 6319, 54260, 1211, 6, 148346, 26612, 506, 186955, 65482, 2050, 7369, 64260, 78653, 2200, 95455, 32054, 29771, 148346, 28726, 2050, 3120, 98252, 215629, 1285, 30109, 48904, 15307, 54260, 2882, 73784, 1751, 142144, 37729, 10676, 6, 4, 199145, 874, 26, 101296, 40920, 148346, 26612, 119718, 10705, 16803, 30473, 29171, 10676, 4838, 7201, 87442, 5, 220224, 151614, 148346, 1211, 6, 148346, 26612, 506, 183512, 21295, 1285, 86510, 4113, 1470, 75230, 82576, 7972, 38596, 54260, 28320, 3120, 11211, 22426, 113889, 2882, 78653, 2200, 3120, 3373, 29771, 2865, 76776, 148346, 15096, 78653, 6, 4, 1285, 7369, 3131, 54260, 5666, 109226, 17268, 223779, 22426, 40096, 17645, 2190, 37640, 93943, 43590, 30946, 2884, 6, 4, 1285, 25933, 83182, 37640, 364, 82576, 4113, 5, 148346, 54260, 2050, 6, 208048, 1644, 15533, 52541, 95455, 6, 21106, 7611, 37826, 7746, 4151, 84087, 120467, 29771, 7916, 86733, 151614, 162642, 171433, 96256, 75230, 6293, 36324, 75230, 46590, 56170, 148346, 2442, 54260, 16932, 2882, 6, 4, 36324, 56170, 1285, 3069, 506, 6093, 6093, 151614, 148346, 1211, 230764, 1470, 54260, 5666, 2865, 39083, 1470, 75230, 111137, 2882, 75230, 40920, 36324, 13845, 107581, 72191, 21776, 2882, 161829, 1211, 163139, 6, 159696, 15388, 4151, 56170, 506, 13845, 2882, 207591, 3120, 4151, 67882, 16932, 17645, 73784, 41764, 21087, 4944, 65689, 4838, 46590, 905, 95455, 21776, 2882, 161829, 3120, 28726, 148346, 1211, 37189, 27720, 6, 4, 119055, 109316, 40377, 874, 26, 506, 64260, 6, 71577, 12130, 33960, 104238, 6235, 88660, 13497, 151614, 148346, 1211, 4838, 506, 29771, 55823, 3111, 23405, 13342, 6, 148346, 26612, 3131, 54260, 35465, 1470, 75230, 33225, 2190, 7758, 54260, 17017, 4113, 4944, 119364, 6, 4, 30109, 135118, 28726, 12984, 6, 159696, 2932, 4, 163139, 1470, 75230, 33225, 203013, 1211, 27, 62808, 6, 225975, 1211, 95455, 4, 6, 238144, 1644, 20033, 6, 234221, 8947, 56170, 178766, 18133, 1982, 120202, 13342, 1644, 54260, 4484, 171428, 1285, 874, 54260, 3111, 23405, 3120, 17824, 71512, 115374, 6, 4, 119055, 13845, 107581, 151614, 148346, 1211, 6235, 134727, 2882, 4, 165592, 6428, 155, 2442, 6319, 90848, 88660, 119718, 64310, 37826, 7746, 6, 139449, 3069, 66334, 124470, 19063, 133190, 9747, 120202, 72631, 174121, 159696, 1211, 220224, 23269, 160238, 226112, 15388, 3120, 2190, 7758, 54260, 1644, 148346, 23173, 6093, 6, 87311, 113889, 97634, 142170, 4, 236512, 31467, 4113, 87311, 10918, 239162, 28726, 9424, 159696, 38249, 6, 4, 364, 54260, 16803, 8947, 5, 36324, 75230, 151614, 148346, 1211, 6, 238197, 6, 148346, 710, 39293, 9424, 23174, 6093, 4, 75322, 8580, 6, 4, 199145, 45521, 21295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 54260, 5666, 2865, 39083, 7243, 1470, 75230, 2702, 5, 3373, 68313, 88771, 4, 36324, 6, 148346, 54260, 1285, 87311, 13497, 29771, 2932, 88660, 5666, 59919, 43178, 64213, 151614, 148346, 1211, 1285, 874, 114436, 364, 59929, 46545, 6093, 163139, 6, 148346, 8580, 182261, 74806, 218241, 21295, 7265, 1285, 1470, 75230, 53414, 110573, 10069, 6, 148346, 13159, 6093, 3069, 364, 53414, 6, 4, 2200, 36324, 40026, 79981, 17190, 119718, 710, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 123885, 68313, 4151, 148346, 54260, 125523, 28415, 163139, 43649, 188301, 64769, 44779, 6235, 159696, 1211, 3069, 4838, 119055, 92605, 2702, 114436, 657, 21106, 39340, 7265, 4838, 8903, 159696, 24152, 22639, 4113, 238144, 29171, 5, 123736, 148346, 6093, 1285, 81444, 4852, 125897, 163139, 24152, 109226, 4852, 54260, 49008, 6235, 159696, 1211, 36324, 75230, 6, 147713, 119221, 163139, 1285, 6, 84577, 119718, 7682, 1644, 17310, 119055, 13845, 107581, 3373, 26, 506, 64260, 190800, 8903, 101296, 40920, 10676, 4269, 54260, 16803, 3120, 6235, 44478, 198093, 2200, 119055, 13845, 107581, 3056, 7243, 43449, 75230, 4852, 6235, 159696, 1211, 88660, 16667, 37016, 159696, 13497, 6, 4, 133190, 1470, 75230, 4667, 3523, 75230, 2882, 119718, 188301, 5, 95455, 6235, 148346, 15907, 3120, 220224, 1211, 165284, 10069, 33809, 2050, 37826, 69355, 6, 124470, 9719, 2648, 6, 68558, 6235, 506, 40096, 3069, 160204, 7265, 1285, 33718, 20260, 109316, 2200, 6, 238144, 2882, 5666, 54260, 188301, 4113, 3373, 59919, 1211, 69355, 4151, 115556, 192956, 2442, 3523, 83586, 4, 119055, 13845, 107581, 18225, 22444, 23741, 6, 68558, 130170, 148346, 26612, 119718, 10705, 16803, 4852, 54260, 1211, 6, 4, 3496, 64260, 3131, 2205, 6, 124470, 31212, 119055, 39083, 2882, 18225, 6, 148346, 13159, 6093, 6235, 97634, 1211, 4, 119055, 12483, 874, 26, 2442, 77188, 69355, 6, 47351, 9213, 148346, 6093, 148346, 26612, 119718, 10705, 16803, 4852, 54260, 1211, 5, 119055, 29766, 46598, 3120, 1285, 81444, 4852, 125897, 3373, 59919, 1211, 7508, 34533, 4852, 18167, 16175, 54260, 1644, 2865, 39083, 6, 23173, 75230, 2702, 4838, 163139, 46053, 6, 4, 43649, 54260, 98833, 6, 238144, 2882, 9213, 148346, 6093, 95455, 6, 148346, 26612, 119718, 10705, 16803, 4852, 54260, 1211, 69355, 6235, 8903, 148346, 65482, 2050, 22639, 10069, 119718, 56570, 10705, 2050, 2200, 8947, 119055, 77188, 4151, 7201, 23173, 6, 113889, 35596, 4151, 8903, 94741, 20260, 4, 36324, 3373, 26, 4852, 54260, 49008, 56170, 47351, 56170, 148346, 710, 16747, 109226, 2200, 1751, 54260, 14540, 1211, 9424, 119718, 65689, 6, 148222, 33104, 16932, 105235, 4, 10339, 171127, 123073, 3373, 59919, 1211, 3120, 4151, 22639, 10069, 119718, 181247, 44478, 3523, 83586, 2200, 8300, 119718, 65689, 4838, 620, 38461, 103023, 6, 238144, 2702, 213952, 6093, 1470, 148346, 6093, 110970, 506, 5, 95455, 6, 219097, 3120, 117578, 148346, 26612, 119718, 10705, 16803, 4852, 54260, 1211, 6, 4, 137, 218241, 160022, 155, 657, 75230, 2882, 10676, 1470, 54260, 105405, 28726, 12984, 6, 109995, 3120, 119055, 99766, 4, 119718, 710, 36609, 7746, 6, 23173, 75230, 2702, 6, 119859, 69106, 123736, 23741, 1470, 75230, 4667, 56170, 6, 218241, 160022, 6, 57277, 39340, 2205, 64769, 15388, 6, 135469, 69355, 119055, 99766, 2200, 119055, 77188, 1470, 54260, 23269, 3120, 1285, 6319, 159696, 67873, 6, 4, 3120, 119055, 48904 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8947, 147582, 46053, 6, 23173, 75230, 21087, 65482, 76961, 7369, 3131, 54260, 5666, 109226, 6, 4, 119055, 13845, 107581, 18225, 6, 148346, 26612, 8300, 54260, 4944, 13497, 163139, 12, 123736, 50931, 18415, 292, 364, 23173, 148346, 29766, 2932, 65482, 5, 95455, 3056, 125523, 7243, 6, 21106, 7611, 5, 4151, 6, 4, 199145, 215594, 2205, 123736, 48974, 48904, 65689, 78683, 20260, 87637, 125830, 52480, 22426, 97634, 2050, 4838, 21776, 124740, 2882, 40096, 3120, 6235, 8300, 75230, 188201, 2200, 11211, 82576, 40697, 26612, 55823, 4484, 15289, 4, 119055, 13845, 107581, 220224, 49008, 1470, 75230, 101608, 1211, 6, 148346, 26612, 119718, 10705, 16803, 30473, 29171, 1211, 3523, 83586, 28726, 148346, 1211, 4, 4231, 114436, 239162, 24152, 35596, 10676, 27855, 59919, 65689, 110573, 15662, 3120, 41764, 21087, 4944, 65689, 123959, 67882, 16932, 17645, 67873, 6, 4, 292, 101296, 40920, 6, 4, 119055, 13845, 107581, 874, 26, 68313, 6235, 8300, 119718, 2808, 109226, 132025, 13342, 101470, 56170, 4838, 9424, 238144, 16932, 6319, 159696, 28726, 69355, 1285, 874, 48904, 40697, 4151, 3131, 54260, 5666, 109226, 5, 215031, 1470, 88945, 21106, 34533, 3120, 10339, 40096, 39083, 29771, 46677, 292, 2808, 75230, 148346, 7243, 3069, 6, 225975, 1211, 12, 4838, 112216, 97634, 203749, 152185, 1470, 88945, 21106, 34533, 292, 119055, 29060, 77208, 10813, 2702, 32097, 4151, 2932, 54260, 1211, 2205, 220224, 1211, 6235, 94741, 20260, 12483, 240863, 3069, 6, 47351, 1470, 75230, 2702, 240863, 150349, 905, 185226, 199145, 7201, 186955, 6, 23173, 54260, 1211, 6, 119859, 69106, 4269, 18167, 2205, 116486, 148346, 28726, 2050, 3120, 6, 109995, 6, 148346, 104383, 4, 95455, 364, 54260, 16803, 12, 2205, 22426, 90848, 148346, 28726, 2050, 3120, 1285, 1751, 54260, 14540, 1211, 9424, 119718, 65689, 4269, 54260, 16803, 2200, 27702, 16932, 17645, 5, 4151, 67882, 16932, 710, 21106, 26, 40920, 6, 4, 95455, 192544, 3120, 4838, 7508, 54260, 1211, 2932, 186565, 850, 2648, 123329, 84087, 120467, 29771, 7916, 4113, 4, 119055, 29060, 6319, 54260, 5666, 2865, 39083, 7243, 1470, 75230, 29111, 53414, 34076, 75230, 148346, 1211, 36324, 95455, 4269, 54260, 175483, 4113, 3056, 6, 148346, 1644, 75230, 4852, 4838, 32899, 203232, 7201, 29766, 15533, 9221, 213952, 6093, 116486, 108264, 2882, 3120, 10676, 67882, 16932, 17645, 67873, 5, 4151, 1470, 88945, 21106, 34533, 4151, 115768, 292, 6, 23173, 75230, 2702, 2932, 54260, 188301, 37640, 66293, 41764, 12415, 112690, 22426, 3120, 27855, 59919, 152185, 11211, 82576, 17645, 2451, 143179, 97634, 2865, 59929, 6, 212915, 905, 29060, 220224, 1211, 6235, 5666, 54260, 98833, 2200, 119055, 29060, 1470, 75230, 4667, 7746, 6, 148346, 21106, 2648, 132025, 31249, 21292, 1211, 3069, 6235, 148346, 1211, 1285, 148346, 72402, 506, 10676, 9424, 238144, 28320, 133749, 5, 6, 148346, 2702, 4667, 506, 171665, 1644, 37826, 18225, 81444, 56170, 7746, 7243, 28415, 92500, 4, 7243, 6, 238144, 29171, 6093, 163139, 95455, 6, 21106, 18415, 874, 140495, 609, 199145, 3056, 40026, 6093, 6235, 159696, 1211, 12, 10069, 364, 2884, 84475, 95455, 1470, 54260, 292, 6, 64260, 95455, 116486, 148346, 28726, 2050, 4, 199145, 6, 26394, 9719, 29659, 36324, 75230, 29659, 23173, 4484, 236512, 31467, 220224, 1211, 18133, 21106, 78653, 12, 4151, 7201, 23173, 6, 238144, 1644, 3373, 26, 95766, 7243, 178748, 44779, 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, 2808, 54260, 6, 4, 199145, 170479, 7243, 151614, 148346, 1211, 6, 195054, 176727, 6235, 119718, 29766, 1211, 3120, 6319, 54260, 1211, 364, 2884, 4, 2200, 6319, 54260, 1211, 506, 2884, 6, 4, 199145, 170479, 7243, 151614, 148346, 1211, 1470, 75230, 2702, 8903, 22426, 93449, 7746, 3120, 6, 47351, 1470, 54260, 5, 10069, 81444, 4852, 125897, 64769, 33188, 6, 4, 364, 54260, 16803, 8947, 4, 37826, 6428, 155, 2442, 6319, 90848, 88660, 119718, 64310, 1470, 75230, 17748, 5666, 54260, 148346, 26612, 506, 183512, 21295, 2205, 220224, 23269, 160238, 226112, 15388, 5, 6, 130991, 3056, 7369, 4151, 13342, 230764, 47351, 123736, 48974, 48904, 65689, 6, 4, 230764, 76961, 7511, 15231, 51723, 4, 230764, 4838, 6, 203749, 65689, 6, 159696, 2932, 5, 20033, 6, 148346, 40096, 239162, 1211, 8947, 110573, 92904, 2200, 20033, 33960, 148346, 1211, 125523, 3373, 124470, 2050, 36324, 75230, 3069, 6, 18273, 9213, 148346, 6093, 21066, 24244, 6, 4, 36324, 6093, 37826, 7746, 6, 139449, 3069, 6, 64260, 20315, 2050, 6, 56052, 9174, 180610, 4838, 3373, 4667, 10339, 75230, 6093, 1470, 54260, 35189, 3373, 26, 68313, 6093, 16629, 49008, 895, 1644, 12483, 6, 148346, 2442, 183512, 4, 4838, 94741, 20260, 119055, 13845, 104238, 1285, 64769, 33188, 151614, 148346, 1211, 132025, 139449, 6, 47351, 37922, 22426, 9221, 40697, 13805, 149364, 710, 96302, 21106, 1211, 3496, 23173, 129071, 6093, 5, 159696, 2442, 3056, 6235, 159696, 1211, 895, 1644, 12483, 6, 148346, 2442, 183512, 705, 20033, 151614, 148346, 1211, 110573, 107182, 56170, 8903, 46053, 165592, 178766, 4113, 3069, 506, 6093, 6093, 6, 238144, 46053, 8947, 7243, 6, 4, 2205, 4151, 9424, 54260, 2882, 119055, 12483, 194706, 3056, 35189, 6, 113889, 51723, 6, 4, 3523, 40096, 9221, 44779, 4, 119055, 2808, 75230, 1644, 148346, 233364, 13497, 5, 119055, 6093, 22753, 2205, 6235, 159696, 1211, 1470, 75230, 33225, 6093, 29659, 1211, 6, 148346, 105330, 292, 110573, 107182, 6319, 127684, 23050, 2882, 5, 4838, 657, 148346, 6, 148346, 26612, 36326, 55823, 110970, 3120, 24012, 57619, 1211, 710, 29766, 6, 4, 119055, 13845, 107581, 874, 26, 506, 64260, 6235, 225164, 895, 7972, 4, 4838, 10339, 71804, 13805, 148346, 1644, 171433, 20315, 54745, 129891, 4, 123736, 148346, 6093, 26612, 46590, 905, 7243, 3120, 6, 88660, 109636, 5927, 26612, 8903, 1211, 133190, 3120, 6, 142429, 43178, 39293, 4, 107824, 11265, 10339, 64260, 150839, 64260, 6235, 506, 40096, 4838, 241304, 3120, 6, 172060, 16932, 5, 22753, 6, 21106, 54260, 1211, 2205, 1751, 75230, 1211, 1470, 75230, 4667, 6235, 159696, 1211, 2205, 32054, 129071, 65689, 17190, 148346, 1211, 6, 4, 37826, 1751, 75230, 1211, 206105, 4231, 29766, 6235, 226112, 15388, 4838, 22518, 54260, 148346, 23173, 148346, 1644, 9213, 148346, 53414, 198754, 1211, 6, 29766, 46598, 6, 4, 2205, 6235, 159696, 1211, 4838, 6, 148346, 26612, 75322, 146887, 2205, 4838, 116486, 710, 75230, 7511, 46590, 17645, 3120, 4838, 506, 75230, 22426, 2882, 29659, 64260, 152185, 6, 148346, 48904, 4484, 2200, 2205, 6235, 39293, 46053, 9213, 148346, 6093, 4269, 90848, 148346, 4113, 148346, 710, 104238, 5, 36324, 75230, 22753, 8300, 213952, 37826, 22753, 6, 148346, 26612, 104378, 32887, 2865, 149364, 40096, 14303, 5, 4151, 10339, 21106, 68313, 6235, 159696, 1211, 7243, 6319, 54260 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 6, 148346, 93704, 54260, 2882, 213952, 6093, 4, 1470, 54260, 105405, 44779, 220224, 49008, 8947, 6235, 13159, 6, 148346, 1644, 75230, 4852, 60631, 30979, 6, 4, 13278, 2050, 895, 7972, 3056, 1470, 119718, 2648, 14004, 40026, 6093, 1470, 75230, 4667, 6235, 159696, 1211, 9424, 23173, 2882, 4, 8300, 23173, 2882, 2200, 6235, 119718, 21292, 220224, 6093, 6, 148346, 1644, 54260, 4667, 5, 4151, 148346, 54260, 3056, 22753, 6235, 159696, 1211, 101251, 148346, 93704, 23174, 2882, 177157, 22426, 40096, 13456, 4, 36324, 75230, 36324, 874, 26, 119718, 39083, 2882, 11265, 4269, 53414, 4838, 21847, 29060, 8903, 97634, 1211, 7265, 4151, 364, 84577, 14004, 148346, 6093, 1285, 10339, 71804, 13805, 148346, 1644, 171433, 20315, 364, 29766, 4, 163139, 4151, 364, 75230, 22680, 40096, 10339, 147713, 2882, 6, 57277, 39340, 171665, 92904, 160204, 6, 4, 6, 148346, 36326, 609, 7369, 37826, 6, 238197, 7265, 11265, 2205, 8947, 4852, 21106, 5, 3373, 26, 506, 64260, 8903, 238144, 29060, 3120, 11265, 7265, 6, 106298, 213952, 6093, 21374, 63849, 54260, 2882, 6, 4, 895, 48350, 53414, 72631, 7682, 8903, 506, 21106, 2442, 6093, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 139911, 710, 65482, 4, 192544, 13456, 8300, 142170, 850, 2648, 125897, 6, 40096, 87311, 2702, 59919, 2205, 6235, 159696, 1211, 4838, 68550, 19532, 2200, 2648, 120467, 3056, 6235, 159696, 1211, 190800, 2808, 75230, 2702, 3944, 148346, 163139, 4151, 99509, 6093, 4, 7508, 54260, 59461, 2200, 192544, 152185, 6, 148346, 105330, 3120, 11265, 4113, 6, 148346, 1644, 75230, 4113, 1470, 75230, 15388, 2200, 163139, 11265, 4838, 33716, 7508, 54260, 35465, 6, 4, 199145, 2205, 8903, 159696, 1211, 145813, 31623, 7682, 6, 4, 364, 75230, 4667, 2200, 10339, 54260, 1211, 4, 4838, 657, 54260, 40920, 6235, 148346, 90848, 12984, 1285, 2882, 2882, 7265, 19302, 71512, 15231, 22426, 40697, 19302, 48904, 2932, 61541, 53414, 6, 4, 163139, 137, 21066, 54260, 4667, 155, 132025, 29659, 64260, 6, 5, 21066, 54260, 3131, 2909, 2205, 11265, 4113, 8903, 30473, 40920, 3131, 65848, 12984, 3056, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 69529, 3373, 109636, 42180, 1644, 117578, 13159, 84577, 2702, 5, 35189, 6, 112452, 2205, 6235, 159696, 1211, 3069, 58571, 18167, 22753, 3056, 6235, 39293, 46053, 6, 148346, 54260, 2050, 6, 147502, 3120, 4151, 21733, 4113, 61541, 2648, 6, 4, 119055, 13845, 107581, 3056, 56170, 11265, 6235, 159696, 1211, 4838, 11556, 16932, 5, 64260, 95455, 81444, 4852, 125897, 4231, 17310, 4113, 32054, 54260, 79981, 6, 148346, 2442, 183512, 1285, 81444, 4852, 125897, 895, 7972, 4, 6, 64260, 1285, 22680, 54260, 16747, 192956, 19302, 54260, 23269, 6428, 161829, 4113, 119055, 13845, 21292, 137377, 16870, 34533, 8580, 2200, 6, 148346, 905, 14325, 21106, 16932, 8580, 6, 4, 37826, 95766, 7746, 6235, 506, 40096, 5332, 22426, 13159, 36324, 75230, 16667, 6, 4, 199145, 119055, 39083, 2882, 7746, 4838, 46590, 905, 30109, 119132, 3523, 54260, 2882, 6235, 30946, 177148, 6, 148346, 54260, 2050, 7369, 29659, 1211, 2200, 9424, 238144, 28320, 6, 148346, 105330, 230764, 11265, 19302, 29766, 6093, 6, 149364, 4852, 68558, 5, 29771, 148346, 6093, 1751, 75230, 1211, 125523, 206105, 119055, 29771, 12984, 3120, 11265, 220224, 1211, 81444, 1470, 75230, 148346, 1211, 37826, 7746, 2181, 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 ]
[ 8903, 506, 75230, 148346, 1211, 3069, 6, 84577, 20315, 38249, 5, 95455, 1470, 75230, 115245, 37016, 1211, 2205, 4151, 4269, 48904, 89930, 18906, 15703, 103023, 54260, 2882, 3056, 6235, 159696, 1211, 6, 47351, 64769, 8580, 56170, 6428, 155, 2442, 6319, 90848, 88660, 119718, 64310, 5, 148346, 32572, 31467, 21527, 2648, 125897, 130170, 506, 183512, 1644, 109226, 6, 148346, 54260, 10676, 2200, 6, 17645, 119132, 123736, 119718, 50778, 38249, 13342, 5666, 75230, 42410, 14088, 151614, 148346, 1211, 6235, 8903, 148346, 1211, 10676, 6235, 44478, 198093, 10676, 7369, 29659, 1211, 43649, 75230, 2702, 6, 18167, 3069, 119718, 10705, 83182, 1211, 5, 874, 26, 506, 64260, 7746, 6235, 14004, 148346, 2882, 2205, 76961, 2442, 1644, 54260, 137, 23822, 73381, 161829, 1211, 155, 6, 4, 4151, 113889, 4667, 2451, 14004, 66293, 1470, 75230, 2702, 8903, 7916, 49008, 6, 148346, 26612, 506, 186955, 65482, 6235, 2932, 5666, 29659, 183512, 1211, 7265, 4151, 11211, 108968, 3120, 3131, 22426, 159993, 1470, 75230, 33225, 6319, 71804, 119718, 9221, 5, 1285, 6319, 71804, 183216, 151614, 148346, 1211, 6235, 4852, 39083, 2882, 1054, 53414, 17288, 104238, 6, 148346, 6093, 2865, 26, 506, 64260, 7746, 4151, 23269, 216510, 2882, 3069, 4151, 6235, 46464, 4944, 16932, 6, 170355, 4667, 2200, 67826, 44478, 292, 148346, 14236, 874, 26, 506, 64260, 4838, 159696, 4484, 8903, 148346, 1644, 171433, 50273, 29060, 5, 7265, 4151, 9424, 54260, 2882, 3056, 18225, 9213, 148346, 6093, 8903, 76776, 51723, 35189, 13342, 6, 4, 36324, 4151, 4, 199145, 2205, 657, 75230, 28320, 120202, 101080, 13159, 6, 23173, 75230, 2702, 8903, 240863, 12483, 230764, 26612, 6, 238144, 28726, 3120, 9934, 21106, 6, 4, 37826, 6235, 192575, 2882, 364, 73381, 46545, 1470, 75230, 2702, 215629, 6, 148346, 26612, 29659, 710, 188201, 224220, 22426, 7972, 138194, 18415, 6, 218872, 13159, 6, 4, 6, 13720, 54260, 3111, 12, 16175, 75230, 81829, 1285, 34654, 183216, 3120, 9424, 238144, 6235, 119718, 710, 36419, 149364, 4852, 239162, 1211, 74, 37922, 21660, 1211, 1470, 75230, 7201, 7201, 142429, 53414, 73784, 6, 57277, 69106, 7265, 29434, 54260, 56170, 148346, 75230, 2932, 109226, 152, 23173, 75230, 2702, 101470, 4838, 6, 148346, 26612, 8300, 54260, 4944, 13497, 6, 148346, 31212, 3120, 4151, 6, 148346, 710, 148346, 7972, 64260, 37016, 2200, 8947, 4151, 71804, 183216, 20315, 2050, 2200, 6, 17645, 119132, 6, 4, 2200, 64769, 28726, 40377, 4151, 13342, 5, 874, 26, 94741, 63020, 6, 148346, 75322, 6093, 38249, 4, 36324, 23050, 119718, 41595, 44779, 68313, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 874, 65504, 6, 148346, 54260, 2050, 71107, 3120, 6, 148346, 6093, 29400, 29771, 6293, 3069, 56170, 238144, 67873, 7746, 144754, 36324, 13845, 107581, 874, 71512, 46440, 1211, 5, 119055, 6093, 3373, 26, 506, 64260, 1470, 54260, 105405, 44779, 6235, 8903, 148346, 1211, 1285, 132025, 189623, 33104, 83182, 13342, 37826, 18225, 1751, 109636, 16932, 7243, 6235, 88660, 13497, 163139, 46053, 5, 6, 21106, 5666, 7201, 21106, 2702, 895, 7972, 2205, 5, 147758, 97634, 2865, 59929, 6, 212915, 13159, 162926, 7243, 6235, 159696, 1211, 5, 37640, 16747, 119273, 159696, 15388, 3056, 18225, 6235, 7201, 21106, 1211, 4151, 75230, 6293, 7369, 29659, 95766, 11265, 115222, 2932, 5666, 119718, 23173, 2882, 5, 10069, 132025, 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 ]
[ 54260, 1644, 23269, 46685, 292, 8947, 22753, 49008, 6235, 159696, 1211, 110573, 107182, 657, 75230, 16932, 178766, 4113, 1982, 233364, 194734, 1470, 75230, 4667, 364, 183718, 6319, 59929, 205416, 22426, 3056, 6235, 159696, 1211, 9424, 119718, 65689, 220224, 292, 151614, 148346, 1211, 148346, 54260, 1285, 6, 80453, 33809, 119718, 1211, 7746, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 56170, 28415, 84475, 6, 238144, 29171, 6093, 16175, 75230, 2932, 44779, 6, 4, 183512, 123073, 151614, 148346, 1211, 1470, 23174, 48904, 64213, 7243, 6235, 2882, 75230, 98833, 6, 4, 123736, 148346, 6093, 895, 7972, 6, 148346, 2442, 48904, 32206, 16175, 21106, 35596, 35189, 13342, 37826, 7746, 6, 23173, 75230, 2702, 8903, 119718, 15533, 1211, 56170, 1470, 75230, 101608, 8903, 238144, 5666, 44779, 6, 4, 56170, 1470, 75230, 7201, 7201, 21106, 213952, 6, 4, 56170, 1470, 75230, 82576, 128117, 5, 11265, 162926, 1470, 75230, 2702, 8903, 7916, 49008, 6, 148346, 26612, 506, 13845, 2882, 161829, 1211, 905, 39083, 2882, 125523, 7243, 36324, 75230, 6235, 119718, 9221, 20911, 6, 4, 3496, 64260, 3131, 4151, 71107, 3056, 6235, 159696, 1211, 6, 148346, 48904, 34533, 77188, 2200, 874, 26, 506, 64260, 6235, 71804, 40920, 3120, 6, 148346, 26612, 119718, 10705, 83182, 17310, 5, 123736, 148346, 6093, 564, 54260, 1285, 88660, 2865, 22426, 7972, 138194, 18415, 364, 183512, 1644, 109226, 37826, 18225, 132025, 8903, 506, 75230, 148346, 1211, 56170, 34079, 17017, 2882, 3069, 119055, 53414, 5, 30473, 37826, 1470, 75230, 2702, 8903, 7916, 33716, 6, 21106, 7611, 4, 199145, 874, 26, 506, 64260, 11265, 67826, 44478, 506, 54260, 2882, 160238, 8903, 25391, 710, 148346, 1211, 4, 30473, 37826, 8947, 1470, 75230, 2702, 8903, 7916, 33716, 6, 124470, 710, 171665, 6293, 163139, 22753, 3056, 98252, 6, 23173, 24295, 130991, 6, 4, 7265, 6, 75322, 145161, 1211, 10498, 54260, 10813, 4, 7243, 6319, 159696, 177243, 188301, 7746, 4, 1470, 75230, 4667, 6, 68558, 65146, 7682, 5, 22753, 37826, 8903, 148346, 189623, 98833, 3120, 8947, 4852, 21106, 4838, 6, 148346, 710, 35044, 9934, 21106, 7611, 9424, 119718, 65689, 1285, 6, 223390, 6093, 4, 37826, 8947, 132025, 2648, 8903, 7511, 2882, 10676, 116486, 73486, 29766, 112216, 48775, 119718, 84577, 1470, 75230, 33225, 6319, 137377, 6, 4, 4151, 113889, 4667, 37826, 22753, 70845, 171433, 139449, 6, 148346, 54260, 4151, 364, 84577, 6, 4, 3069, 8903, 7916, 33716, 73784, 6319, 71804, 119718, 9221, 2200, 6428, 99766, 1211, 37826, 30473, 7265, 220224, 1211, 6, 238144, 1211, 223390, 6093, 1470, 75230, 111137, 3131, 22426, 710, 21295, 10676, 132025, 506, 54260, 148346, 3120, 88911, 1644, 137, 17494, 2865, 57277, 7201, 75230, 21847, 3069, 147582, 12483, 2909, 4151, 113889, 4667, 37826, 22753, 70845, 98252, 8903, 7916, 33716, 3069, 220224, 1211, 170791, 4, 506, 64260, 6235, 101296, 40920, 56170, 70845, 6, 92605, 29259, 13805, 6, 4, 37826, 3069, 61397, 905, 20911, 4838, 6, 64991, 148346, 135118, 109316, 92500, 7746, 4838, 159696, 4484, 8903, 39293, 56169, 6, 148346, 54260, 220224, 23269, 6, 131445, 292, 4838, 73486, 40096, 36324, 75230, 163139, 874, 26, 506, 64260, 8947, 144754, 6319, 137377, 148346, 25207, 4944, 161829, 1470, 75230, 2702, 8903, 236376, 56170, 11265, 29060, 159696, 15388, 5, 30473, 37826, 364, 54260, 16803, 8947, 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 ]
[ 221387, 711, 30473, 2200, 7508, 75230, 2882, 6235, 119718, 29766, 1211, 2200, 7265, 88771, 6093, 4151, 1644, 54260, 4944, 16932, 17310, 4, 199145, 22753, 506, 64260, 7746, 56170, 36326, 63532, 6, 4, 151614, 148346, 1211, 22753, 76961, 132025, 8903, 506, 75230, 148346, 1211, 22753, 22753, 55546, 12483, 4, 123736, 148346, 6093, 30473, 37826, 56170, 30473, 104238, 2882, 12, 3523, 54260, 1211, 6, 4, 3523, 54260, 1211, 4, 7243, 36324, 75230, 4, 874, 26, 94741, 63020, 8947, 7243, 34076, 75230, 148346, 1211, 711, 710, 29659, 22639, 13982, 75230, 46053, 6, 4, 7243, 364, 41595, 6093, 4151, 16175, 9221, 37826, 22753, 7746, 7243, 3069, 8903, 506, 77188, 4, 30473, 104238, 2200, 6, 148346, 137127, 7243, 711, 2451, 7243, 22639, 13982, 75230, 46053, 7243, 3523, 54260, 4151, 16175, 9221, 705, 2451, 123736, 4, 3523, 54260, 1211, 4, 6, 84577, 2451, 3131, 69127, 93449, 711, 22753, 364, 29766, 40920, 81444, 2205, 21422, 46685, 4, 6, 148346, 14236, 30473, 107776, 6, 23173, 54260, 1211, 6, 4, 2200, 22753, 65146, 8947, 160204, 5, 2451, 22753, 65146, 2205, 21422, 46685, 705, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 143422, 4113, 22426, 13159, 204982, 11265, 4838, 27855, 22426, 153222, 4, 292, 37826, 22753, 6235, 905, 29771, 13497, 5, 18225, 27855, 23741, 3131, 29060, 11265, 3069, 199145, 22753, 170479, 160204, 4, 67826, 1644, 4, 123736, 148346, 6093, 6, 119859, 69106, 6, 95494, 63020, 2200, 10069, 2882, 44779, 5, 2648, 29771, 4944, 2205, 6, 4, 6, 71577, 12130, 4, 6235, 159696, 1211, 4838, 163139, 2648, 75230, 4, 895, 7972, 37826, 7746, 2205, 4838, 23269, 119718, 21292, 1211, 6, 109995, 6235, 46590, 2882, 131397, 103023, 37826, 120202, 8903, 76776, 33716, 5, 22753, 37826, 6235, 2648, 23173, 23741, 6, 225975, 1211, 4, 17537, 22753, 16175, 75230, 2932, 7243, 56170, 215031, 6, 222907, 4, 6, 238144, 1644, 18225, 27855, 22426, 153222, 2882, 11265, 6, 21106, 7611, 3069, 5, 48904, 4113, 159696, 2882, 56170, 1644, 54196, 4231, 53414, 115556, 28726, 12984, 6, 109995, 4, 119055, 12483, 1470, 54260, 59461, 3120, 1285, 9424, 119718, 5594, 64260, 9213, 148346, 6093, 96302, 3131, 192956, 48277, 850, 5, 2205, 6, 150349, 99766, 28726, 12984, 6, 109995, 2205, 895, 7972, 6, 158853, 34709, 17310, 193853, 119718, 21106, 42733, 31623, 54196, 6235, 119718, 29766, 1211, 6, 4, 123736, 148346, 6093, 230764, 215031, 185527, 4, 36324, 7243, 1470, 54260, 119132, 95766, 4838, 1751, 75230, 35189, 190800, 195054, 29771, 33225, 9213, 148346, 53414, 22444, 38249, 6, 148346, 14236, 22753, 37826, 95455, 1470, 75230, 2702, 8903, 225975, 2882, 5, 3373, 4667, 67826, 51723, 230764, 1470, 54260, 5666, 2865, 39083, 151614, 148346, 1211, 6, 139449, 6, 225164, 125523, 6428, 155, 506, 4484, 90848, 88660, 119718, 64310, 874, 26, 68313, 70845, 6, 195054, 29771, 33225, 6, 148346, 25207, 183216, 2200, 7369, 3056, 6, 124470, 710, 194175, 6, 130991, 12, 1470, 75230, 2702, 8903, 97594, 40920, 2200, 7265, 4838, 75290, 213952, 1211, 108706, 10813, 4, 37826, 7369, 1470, 75230, 111137, 7201, 142429, 77188, 7265, 220224, 1211, 4269, 48904, 89930, 6235, 29659, 186955, 3069, 364, 54260, 16932, 6093, 564, 23173, 23822, 75230, 28726, 4944, 4484, 54260, 2882, 5, 874, 26, 506, 64260, 70845, 6, 68558, 123736, 105439, 6235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2865, 39083, 35465, 4, 36324, 874, 26, 506, 64260, 81444, 3069, 160204, 7265, 4113, 22426, 13159, 78891, 113889, 48775, 75386, 3373, 5, 95766, 4151, 16629, 49008, 6, 47351, 6, 21106, 119718, 21292, 5666, 75230, 39340, 4, 4838, 40026, 67873, 7265, 36326, 22426, 153222, 12415, 12483, 5, 292, 4838, 12415, 6, 4, 1470, 54260, 4, 2200, 199145, 6, 238144, 16932, 22444, 98071, 4484, 4, 874, 54260, 23269, 40026, 16747, 152, 18553, 49027, 1211, 5332, 12483, 5, 3373, 26, 10705, 6235, 905, 12483, 6, 109995, 6235, 148346, 15907, 9213, 6, 148346, 142429, 1211, 5, 56170, 76961, 221895, 3056, 6, 64260, 4151, 6, 148346, 142429, 1211, 6235, 159696, 1211, 6319, 159696, 177243, 2442, 7682, 2200, 119055, 2865, 22426, 7682, 710, 75230, 4667, 6, 4, 123736, 148346, 6093, 6093, 2205, 6235, 240863, 12483, 230764, 70845, 7265, 162926, 6093, 177157, 22426, 40096, 17645, 5, 7369, 37826, 1470, 75230, 2702, 8903, 22680, 4113, 98833, 6235, 212484, 2882, 4151, 8300, 54260, 67873, 5, 1470, 54260, 4, 1470, 54260, 4, 42493, 133190, 4838, 98055, 711, 292, 36324, 75230, 68313, 2181, 7265, 1470, 54260, 4667, 6, 4, 874, 54260, 1211, 192544, 705, 2200, 7369, 37826, 292, 163139, 148932, 1470, 54260, 59461, 37826, 46598, 4269, 53414, 6235, 97634, 1211, 292, 6, 23173, 75230, 111137, 1644, 54260, 98833, 4151, 19302, 54260, 59461, 6, 5, 710, 364, 84577, 1470, 75230, 33225, 88660, 2702, 5, 4838, 3373, 4667, 15857, 148346, 850, 3069, 1470, 75230, 7201, 46685, 4484, 235210, 16580, 2882, 123736, 148346, 6093, 7243, 29771, 1285, 19302, 43178, 80885, 15949, 148346, 506, 73784, 4151, 25391, 37016, 1211, 7746, 5, 7369, 37826, 132025, 190135, 6, 75230, 23269, 6, 148346, 2442, 75230, 23269, 5332, 215052, 64260, 40697, 2808, 75230, 15388, 2205, 1285, 42355, 45223, 148346, 1644, 75230, 4113, 1470, 75230, 15388, 3120, 895, 7972, 6, 148346, 2442, 183512, 6, 4, 4151, 148346, 54260, 37826, 7369, 9719, 50853, 6235, 7916, 33716, 7265, 4151, 364, 84577, 3120, 11265, 4113, 364, 29766, 6, 148346, 15533, 9213, 148346, 6093, 1285, 6, 92605, 35044, 12483, 13342, 2050, 6, 29766, 46598, 5, 22753, 37826, 6235, 35596, 59919, 2882, 230764, 220224, 1211, 6, 148346, 105330, 6, 148346, 26612, 3131, 54260, 35465, 2200, 6, 148346, 26612, 3131, 54260, 2648, 114436, 6, 4, 95455, 364, 54260, 16803, 6, 21106, 7611, 28415, 2200, 28415, 3120, 2190, 198093, 6, 23173, 75230, 6293, 4, 6, 238144, 1644, 11265, 4484, 137377, 81444, 2882, 7746, 112216, 24621, 44779, 6, 23173, 137377, 8903, 212484, 2882, 9213, 148346, 6093, 1285, 6, 92605, 35044, 12483, 3069, 4151, 148346, 60071, 2882, 5, 6, 148346, 36326, 609, 11265, 4113, 6, 148346, 105330, 1211, 151614, 148346, 1211, 132025, 8903, 506, 75230, 148346, 1211, 7746, 6, 148346, 25207, 12984, 4, 37826, 4151, 8903, 44478, 13497, 6093, 6235, 101296, 40920, 56170, 11265, 41764, 12130, 6, 208048, 10813, 13159, 125897, 364, 84577, 148346, 26612, 159696, 2932, 17310, 139652, 97634, 2865, 59929, 6, 212915, 23173, 75230, 7201, 13342, 5, 4151, 113889, 4667, 37826, 7369, 4151, 21733, 77188, 6, 4, 36324, 6, 21106, 7611, 3056, 2205, 123736, 38054, 43178, 17310, 92500, 7369, 37826, 4838, 159696, 4484, 8903, 3131, 93449, 10676, 4269, 48904, 64213, 1470, 75230, 111137, 25207, 2932, 28320, 71107, 230764, 7972 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7511, 58571, 215726, 5, 6, 47351, 1470, 75230, 2702, 76776, 2050, 2205, 6235, 159696, 1211, 895, 7972, 6, 148346, 2442, 183512, 6, 4, 7265, 119055, 13845, 104238, 6093, 37826, 125523, 6235, 119718, 39083, 2882, 4838, 6, 148346, 710, 35044, 137, 22426, 1644, 75230, 35189, 1211, 2909, 22426, 1644, 75230, 35189, 1211, 711, 657, 54260, 40920, 7746, 160238, 13342, 128540, 5, 76961, 151614, 148346, 1211, 7746, 4151, 46590, 2882, 101251, 228203, 4113, 4667, 6, 148346, 710, 10676, 119055, 99766, 6, 4, 6, 148346, 54260, 10676, 41764, 134193, 1211, 119055, 99766, 3120, 10676, 32054, 54260, 28726, 12984, 78683, 46685, 93704, 6319, 90848, 88660, 119718, 64310, 5, 148932, 1470, 54260, 57619, 123329, 37826, 4151, 46590, 2882, 6, 4, 36324, 3373, 26, 159696, 33716, 24390, 22639, 4113, 238144, 29171, 6319, 186955, 4151, 69355, 5, 3373, 26, 506, 64260, 8947, 6235, 46590, 2882, 1470, 75230, 4667, 364, 183718, 6319, 59929, 205416, 22426, 6, 4, 159696, 1211, 7369, 37826, 4838, 56170, 3131, 109636, 46545, 16932, 1470, 75230, 7201, 190135, 1285, 1470, 75230, 2702, 2932, 21660, 54260, 30741, 18415, 186461, 29659, 15096, 2200, 37826, 7746, 4151, 87311, 13497, 6, 4, 163139, 36324, 75230, 4151, 6, 148346, 142429, 1211, 37826, 7746, 4838, 119055, 92605, 122868, 29060, 68558, 130170, 220224, 23269, 6, 131445, 6, 148346, 14236, 895, 7972, 2702, 1470, 75230, 82576, 1644, 40697, 119166, 64213, 2200, 148346, 54260, 4151, 56170, 36326, 2865, 16932, 4151, 21733, 6093, 17310, 119055, 13845, 107581, 22753, 37826, 4151, 75230, 6293, 6235, 8903, 148346, 1211, 5, 3373, 26, 68313, 24390, 4838, 46590, 905, 6, 148346, 26612, 7201, 21106, 1211, 4151, 148346, 54260, 6235, 119718, 710, 36419, 20632, 2648, 23269, 16580, 2882, 2200, 6, 75290, 149364, 192956, 22426, 54260, 5666, 28726, 4944, 4484, 54260, 2882, 6, 4, 4838, 657, 54260, 4944, 18415, 6, 448, 25616, 48904, 15307, 54260, 2882, 5, 7369, 37826, 125523, 6319, 54260, 5666, 2865, 39083, 7243, 27909, 4944, 8903, 28726, 148346, 2882, 6319, 54260, 1211, 7369, 2648, 10918, 16932, 207591, 4, 123736, 148346, 6093, 7508, 26, 506, 64260, 6235, 236376, 4, 36324, 7265, 47351, 7369, 2648, 10918, 16932, 207591, 874, 119718, 1211, 18330, 124470, 28714, 1470, 75230, 4667, 220224, 1211, 56170, 148346, 88917, 1211, 6235, 46590, 1211, 3120, 6235, 5666, 75230, 4151, 39293, 1644, 148346, 6093, 4151, 25391, 218241, 20260, 54260, 2882, 5, 1751, 75230, 1211, 120202, 238197, 3120, 4151, 3523, 54260, 61397, 7682, 54260, 2882, 4, 905, 13845, 107581, 3373, 26, 506, 29771, 148346, 1211, 4151, 905, 87442, 2205, 5960, 895, 7972, 6, 148346, 48775, 115666, 10339, 40096, 21106, 4113, 45521, 16580, 28320, 292, 2702, 26, 68313, 6235, 159696, 1211, 4838, 3523, 54260, 61397, 7682, 54260, 2882, 6, 4, 199145, 37826, 2205, 7746, 4838, 79981, 6235, 226112, 15388, 95455, 8903, 46590, 3120, 17288, 104238, 6093, 101251, 148346, 26612, 211630, 93449, 4484, 54260, 2882, 6, 4, 95455, 364, 54260, 16803, 12, 95455, 6, 148346, 26612, 119718, 10705, 16803, 4852, 54260, 1211, 6, 4, 36324, 95455, 6235, 148346, 29060, 4, 230764, 119055, 13845, 12984, 1285, 3523, 54260, 61397, 7682, 54260, 2882, 2205, 64915, 4, 2205, 219947, 3069, 8903, 23405, 44779, 5, 4151, 69355, 37826, 7746, 1470, 75230, 4667, 6, 139449, 4151, 9424, 238144, 21066, 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 ]
[ 21422, 30473, 3056, 6, 148346, 1644, 75230, 4852, 6, 47351, 2190, 53896, 8300, 192956, 84475, 1470, 75230, 4667, 36324, 710, 213952, 4113, 5, 37640, 16747, 119273, 159696, 15388, 506, 64260, 8947, 7243, 1470, 75230, 111137, 506, 77188, 3069, 220224, 1211, 3523, 54260, 61397, 7682, 54260, 2882, 5, 364, 183718, 6319, 59929, 205416, 22426, 37826, 6, 4, 119718, 710, 148932, 1470, 54260, 59461, 2205, 6, 86138, 3120, 220224, 1211, 17190, 148346, 1211, 4, 221387, 95455, 2200, 6, 17645, 69106, 159696, 15388, 64769, 33188, 3120, 6235, 506, 54260, 46685, 6, 76776, 29631, 84475, 9213, 148346, 6093, 76776, 29631, 5, 7369, 37826, 4852, 18167, 4838, 46590, 905, 4151, 87311, 13497, 2205, 4151, 55242, 6093, 152185, 895, 16932, 11556, 51723, 2200, 8947, 37826, 2808, 75230, 6293, 70845, 4838, 364, 75230, 4667, 6235, 97634, 1211, 7265, 18367, 506, 3131, 42695, 506, 5, 123736, 148346, 6093, 6319, 54260, 5666, 2865, 39083, 3056, 6, 64260, 10069, 6, 159696, 21295, 6, 4, 56170, 119055, 13845, 104238, 7369, 37826, 6235, 506, 40096, 4838, 32887, 29766, 29060, 40697, 2200, 40611, 148346, 40096, 54260, 7972, 146873, 6, 239162, 24152, 43178, 17310, 4, 7243, 6235, 119718, 29766, 1211, 56170, 70845, 6, 112452, 6, 113889, 35596, 4113, 6, 170355, 4667, 2819, 6093, 37826, 6319, 54260, 5666, 2865, 39083, 7243, 6235, 506, 40096, 2205, 6, 64260, 1285, 6, 170355, 12984, 6319, 54260, 1211, 6, 80453, 129071, 40697, 4151, 7201, 23173, 17310, 5, 110573, 107182, 36324, 75230, 17824, 75230, 2702, 163139, 1285, 3523, 54260, 61397, 7682, 54260, 2882, 6, 4, 119055, 13845, 107581, 3056, 182261, 17190, 148346, 16870, 7682, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 1549, 966, 2808, 75230, 111137, 159696, 20911, 6235, 119718, 29766, 1211, 4151, 69355, 6, 4, 2205, 1470, 75230, 4667, 6235, 159696, 1211, 220224, 1211, 163139, 35189, 119718, 159993, 3069, 165592, 13845, 107581, 4151, 7201, 23173, 109226, 6, 4, 4838, 163139, 35189, 29659, 183512, 96116, 10676, 23050, 5666, 2865, 92605, 4, 6, 47351, 8947, 18415, 147502, 115222, 2932, 5666, 128540, 7746, 6, 4, 6, 47351, 6, 84577, 4484, 43178, 5666, 105235, 1644, 17310, 10184, 66293, 12065, 101296, 8903, 2050, 43649, 39083, 7611, 292, 2808, 75230, 148346, 20033, 192183, 12483, 132025, 159696, 16747, 1211, 36324, 13845, 107581, 6, 80453, 29060, 43178, 42180, 39293, 1470, 75230, 92904, 133671, 41103, 148346, 710, 178766, 79915, 137119, 8580, 7243, 6, 80453, 29060, 43178, 42180, 56880, 45223, 2648, 5, 7369, 37826, 6235, 46590, 2882, 191795, 45629, 75230, 2050, 6, 4, 37826, 8903, 46590, 2882, 19302, 29766, 2200, 6428, 54260, 2882, 44779, 6, 4, 36324, 1285, 81444, 4852, 125897, 4151, 7201, 23173, 109226, 4, 163139, 36324, 75230, 4852, 54260, 170479, 1211, 7243, 6, 23173, 75230, 2702, 104378, 6, 4, 6, 159696, 67873, 6, 21106, 5666, 7201, 21106, 2702, 220224, 1211, 7544, 146598, 4, 2190, 112595, 23173, 105235, 16747, 44779, 2200, 196991, 10676, 115556, 28726, 12984, 110573, 61722, 5, 7369, 37826, 6, 148346, 26612, 68566, 33225, 4, 36324, 1285, 148346, 2442, 17188, 9424, 119718, 65689, 137, 22426, 71616, 84475, 22753, 213952, 155, 2205, 1751, 75230, 1211, 6235, 3111, 2932, 620, 91595, 56170, 7746, 21106, 8580, 2200, 36324, 3373, 26, 68313, 220273, 7243, 6319, 54260, 1211, 6, 148346, 2442, 17188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 65689, 9424, 238144, 5, 6, 170355, 12984, 6, 4, 3523, 23173, 165592, 6, 148346, 88945, 22753, 49008, 1470, 54260, 16667, 2200, 95455, 55242, 1644, 148346, 4113, 2200, 36324, 1285, 3523, 34533, 125897, 151614, 55823, 3111, 23405, 2702, 212484, 7682, 54260, 2882, 2205, 133190, 4151, 1470, 75230, 101608, 24621, 29766, 21106, 152185, 1470, 75230, 92904, 43082, 3120, 4151, 1982, 23173, 148346, 64260, 5927, 54260, 2882, 5, 123736, 148346, 6093, 4151, 29434, 48904, 2932, 6, 21106, 54260, 1211, 1470, 75230, 2702, 13342, 80453, 33809, 119718, 1211, 199145, 2205, 1470, 54260, 5666, 8903, 21066, 48904, 56169, 6235, 119718, 29766, 1211, 2205, 70845, 96116, 1470, 54260, 119132, 6, 4, 119055, 13845, 104238, 3056, 874, 206014, 36324, 13845, 107581, 80453, 33809, 119718, 1211, 1470, 75230, 33225, 43649, 23173, 152194, 1211, 185527, 2205, 45521, 16803, 6235, 39293, 46053, 6, 148346, 54260, 364, 183718, 6319, 59929, 205416, 33225, 95766, 364, 23173, 7611, 5, 220224, 1211, 5332, 15231, 38596, 54260, 2882, 3056, 64699, 43649, 188301, 3069, 5666, 75230, 2050, 119132, 21106, 1211, 7265, 220224, 1211, 5666, 54260, 61397, 7682, 15907, 6, 4, 7265, 4151, 101251, 148346, 93704, 23174, 16932, 3523, 54260, 59461, 7682, 15907, 3120, 1470, 54260, 119132, 4, 199145, 7508, 54260, 4852, 2882, 5666, 7972, 6, 148346, 145161, 17310, 5, 6, 113889, 133324, 46598, 163139, 1285, 81444, 4852, 125897, 3523, 54260, 61397, 7682, 54260, 2882, 37826, 564, 23173, 119718, 40920, 3120, 4151, 9719, 82576, 17645, 3120, 4838, 6, 149364, 905, 43178, 28726, 4944, 4484, 54260, 2882, 6, 4, 2205, 22753, 1751, 75230, 1211, 7243, 119055, 29060, 6235, 159696, 1211, 69355, 10676, 6235, 148346, 15907, 6, 4, 199145, 2205, 81444, 182261, 6, 23173, 75230, 2702, 8903, 3131, 119718, 10705, 51723, 5, 4151, 6, 123559, 16932, 152185, 3496, 23173, 129071, 6093, 37826, 7746, 81444, 1470, 75230, 2702, 8903, 13982, 93449, 2205, 10676, 6, 5, 199145, 156104, 61397, 7682, 15907, 37826, 7243, 1470, 75230, 2702, 8903, 144754, 1211, 95455, 56170, 148346, 64260, 65482, 4, 119055, 12483, 8947, 37826, 7746, 171433, 8903, 148346, 64260, 1211, 5, 36324, 75230, 4838, 68550, 37826, 364, 183718, 6319, 59929, 205416, 22426, 6, 148346, 26612, 31249, 120467, 1211, 3069, 220224, 1211, 230764, 35189, 119055, 26612, 4667, 2200, 7243, 3069, 6, 148346, 1644, 29259, 148346, 1211, 2205, 36324, 54260, 2882, 6, 4, 6, 148346, 14236, 3373, 26, 159696, 2882, 4151, 50856, 1211, 3069, 238144, 16932, 2648, 125897, 6235, 36326, 161829, 1211, 7265, 895, 1644, 12483, 6, 148346, 2442, 183512, 5, 2648, 155, 2442, 6319, 90848, 88660, 119718, 64310, 37826, 6, 23173, 75230, 2702, 8903, 8903, 148346, 1211, 4838, 1751, 23173, 33225, 56170, 148346, 64260, 196991, 10676, 6, 4, 2865, 26, 4852, 39083, 6, 238144, 16932, 190800, 215629, 2181, 506, 23173, 8300, 40697, 148707, 149364, 710, 96302, 1211, 9213, 148346, 6093, 6, 196332, 506, 54260, 24621, 45521, 98071, 4484, 54260, 28320, 3120, 32054, 54260, 79981, 6, 148346, 2442, 183512, 5, 7369, 37826, 95455, 192544, 4838, 164863, 23269, 87637, 21295, 2205, 4838, 163139, 2702, 5666, 95494, 23741, 44779, 6, 96302, 109316, 4, 37826, 120202, 8903, 234221, 22753, 8300, 109226, 144754, 11265, 2205, 220224, 1211, 6, 208048, 69181, 65689, 6, 78683, 148346, 71512, 2882, 6, 4, 37826, 6, 75230, 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 ]
[ 163139, 874, 26, 506, 64260, 221387, 4, 87637, 22426, 113889, 2882, 15533, 54196, 6, 4, 37826, 74806, 186145, 148346, 2882, 3069, 6, 84577, 119718, 7682, 1644, 12483, 1285, 178748, 28726, 4944, 16580, 28320, 4, 199145, 13982, 4113, 17017, 12483, 2205, 11265, 2200, 220224, 3069, 6, 204932, 10918, 22426, 1644, 24295, 52541, 1470, 75230, 2702, 13342, 7201, 29766, 81829, 11265, 3523, 83586, 139911, 97634, 2865, 59929, 6, 212915, 28726, 148346, 1211, 5, 95455, 37826, 6, 4, 175620, 4, 1470, 75230, 4667, 6235, 97634, 1211, 49920, 2865, 71512, 19302, 4113, 61541, 2648, 4, 11265, 7038, 16932, 192956, 40026, 107829, 1211, 2200, 4838, 172060, 110129, 22426, 80885, 5, 3496, 64260, 3131, 6, 117404, 64260, 6235, 2648, 23173, 23741, 1751, 238144, 49209, 6, 4, 3056, 30473, 6235, 119718, 29766, 6235, 119718, 29766, 1211, 95455, 2200, 6, 17645, 69106, 2200, 22753, 37826, 6235, 101296, 40920, 4151, 69355, 6, 238144, 16932, 59929, 41731, 9213, 148346, 53414, 4269, 48904, 64213, 6, 48904, 29659, 186955, 6, 148346, 15533, 73784, 193042, 24621, 18906, 13381, 5, 22753, 3056, 6, 4, 73784, 148346, 54260, 3131, 22426, 15350, 4, 6235, 119718, 29766, 6235, 119718, 29766, 1211, 4, 36324, 4151, 4, 84475, 95455, 4, 199145, 37826, 3069, 8903, 36326, 22426, 153222, 2882, 20315, 2050, 874, 54260, 55546, 6, 148346, 54260, 2050, 46440, 1211, 6, 4, 199145, 22753, 37826, 3069, 160204, 4, 364, 54260, 16803, 364, 39083, 61397, 5, 8947, 68313, 6235, 159696, 1211, 4838, 4231, 98071, 214766, 364, 39083, 61397, 6, 4, 4269, 54260, 16803, 4, 11265, 72577, 6, 148346, 233364, 13497, 4, 6, 47351, 120202, 4113, 8903, 3131, 54260, 2648, 18415, 16932, 13456, 6, 159696, 56880, 2200, 4838, 6, 56052, 1751, 85549, 2932, 54260, 16803, 3120, 4151, 19302, 127684, 895, 1644, 12483, 5, 6093, 364, 54260, 16803, 8947, 4, 37826, 1470, 75230, 2702, 8903, 225975, 2882, 1285, 6, 104038, 159308, 6, 148346, 710, 35044, 9934, 21106, 7611, 2200, 7265, 22426, 23173, 26612, 119718, 84577, 2702, 6, 238144, 4852, 223390, 6093, 32, 292, 6, 101328, 6, 4, 1285, 1751, 64260, 1211, 1644, 131539, 151614, 148346, 1211, 8947, 11265, 7265, 7972, 148346, 4113, 1470, 54260, 23405, 6093, 75230, 63532, 6, 4, 36324, 75230, 4, 36324, 3373, 26, 506, 64260, 67826, 44478, 506, 54260, 2882, 6235, 16580, 34709, 2882, 2200, 3373, 26, 506, 64260, 71804, 107581, 103023, 6235, 101296, 40920, 5, 7369, 37826, 8947, 11265, 6, 23173, 54260, 5666, 8903, 36326, 22426, 153222, 2882, 5, 292, 3373, 26, 506, 64260, 8903, 192575, 2882, 220224, 1211, 132025, 8903, 119132, 6, 148346, 14236, 364, 39083, 61397, 37826, 11265, 6, 75322, 39083, 2205, 131397, 6235, 225975, 2882, 199145, 3069, 6, 35596, 59919, 1211, 6, 4, 1470, 75230, 148346, 22753, 3056, 6, 29259, 29659, 6235, 159696, 1211, 3069, 8903, 23847, 54260, 2882, 5, 292, 35189, 75230, 6293, 37826, 895, 1644, 12483, 74806, 119718, 116628, 5, 95455, 37826, 364, 39083, 61397, 7243, 6235, 2882, 99766, 160204, 6, 4, 292, 506, 64260, 22753, 1751, 109636, 16932, 6235, 225975, 2882, 5, 2205, 36324, 13845, 107581, 7369, 16667, 18415, 64769, 33188, 7746, 4838, 12415, 57619, 50622, 81829, 292, 95455, 6, 205416, 7369, 7243, 2200, 175620, 4, 37826, 7369, 1285, 6, 35596, 59919, 2702, 2205, 131397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21106, 8580, 7243, 72577, 6235, 119718, 10705, 16803, 5, 238144, 16932, 37826, 7746, 6, 23173, 75230, 2702, 190135, 6, 4, 36324, 895, 1644, 12483, 37826, 3120, 192544, 238144, 4852, 230764, 6, 4, 3496, 64260, 3131, 2205, 17824, 75230, 36419, 9424, 54260, 2882, 2648, 34533, 48904, 64213, 4, 6235, 506, 40096, 3069, 160204, 7265, 35189, 3131, 54260, 5666, 109226, 6235, 39293, 65482, 2200, 101251, 8903, 39293, 65482, 5, 292, 199145, 6319, 68558, 95455, 220224, 1211, 36324, 75230, 16667, 12, 10705, 2865, 8903, 39293, 65482, 4151, 3131, 54260, 5666, 109226, 705, 292, 73784, 6, 148346, 54260, 3131, 22426, 15350, 36324, 75230, 5, 18225, 22753, 3056, 6235, 159696, 1211, 4838, 55242, 4944, 64213, 63188, 7682, 874, 54260, 55546, 6, 4, 3056, 22753, 6, 75322, 39083, 6235, 39293, 46053, 4838, 79981, 2205, 11265, 21422, 46685, 4, 95766, 364, 75230, 4852, 3120, 11265, 4113, 895, 16932, 1211, 6, 4, 6235, 39293, 46053, 7265, 4838, 364, 84577, 23173, 148346, 29060, 6, 148346, 54260, 2050, 6319, 54260, 28726, 133324, 133671, 147502, 5, 3373, 26, 68313, 6235, 159696, 1211, 2205, 4838, 45223, 1211, 6, 113889, 4944, 9719, 97634, 2932, 5, 17190, 148346, 1211, 11265, 230764, 6, 174121, 109636, 4667, 68313, 6235, 147713, 1211, 11265, 10339, 64260, 93497, 6, 90848, 2932, 8300, 75230, 2932, 6, 4, 1285, 9424, 75230, 2932, 40026, 64659, 49597, 26612, 5, 4151, 6, 147502, 3056, 6, 148346, 93704, 87442, 6235, 159696, 1211, 7265, 4838, 56170, 148346, 123329, 4151, 39340, 4, 7265, 215031, 7265, 32887, 24152, 152185, 3131, 21106, 4, 163139, 3373, 226112, 15388, 6, 21106, 18415, 6, 238144, 148346, 6093, 5, 1285, 4151, 39340, 3056, 6235, 147713, 1211, 1470, 75230, 2702, 8903, 3131, 80453, 54260, 2882, 144754, 58571, 7611, 6, 113889, 14325, 141847, 188301, 4113, 32054, 171433, 56880, 5, 162726, 905, 34709, 17310, 37826, 895, 1644, 12483, 6235, 39293, 12483, 119718, 710, 1285, 32054, 29771, 13497, 115222, 2932, 123145, 148346, 6093, 11265, 37826, 7746, 1470, 75230, 111137, 119718, 7682, 21295, 112216, 24621, 44779, 12, 29659, 15350, 4, 9934, 29766, 8903, 119718, 103023, 2200, 21776, 21847, 195164, 7682, 37826, 22753, 7746, 1470, 75230, 111137, 119718, 7682, 21295, 4, 4838, 5, 26217, 2882, 1751, 46545, 6, 148346, 102562, 6, 148346, 15533, 1211, 159308, 6, 147502, 4, 36324, 75230, 4, 36324, 1285, 32054, 171433, 4852, 3056, 6235, 119718, 29766, 1211, 133190, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 118802, 26612, 657, 48904, 8903, 5, 6, 148346, 36326, 609, 95455, 3056, 74806, 12483, 3056, 40026, 64659, 49597, 26612, 163139, 50853, 1470, 75230, 111137, 3131, 80453, 64071, 1211, 5, 506, 64260, 7746, 1470, 75230, 7201, 190135, 230764, 1285, 10339, 29771, 35189, 105235, 6, 71804, 7201, 13159, 6, 4, 4231, 6, 61541, 37826, 4852, 18167, 11265, 6, 190135, 6319, 71577, 75230, 2442, 2200, 22753, 3056, 6, 148346, 15350, 213952, 4838, 177282, 29771, 33225, 2205, 21422, 75230, 28320, 10918, 46685, 6, 23173, 54260, 1211, 5, 6428, 99766, 1211, 3056, 22753, 56170, 4484, 90848, 12984, 130170, 4151, 3373, 29771, 55823, 2200, 4838, 119859, 69106, 4231, 29766, 4151, 113889, 4667, 37826, 18225, 7243, 6235, 88660, 13497, 6, 148346, 54260, 11265, 41764, 25603, 67873, 6, 4, 22753, 170479, 128540, 4838, 6, 64991, 2205, 6, 17645, 119132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21422, 46685, 6, 23173, 54260, 1211, 5, 10918, 3056, 364, 39083, 61397, 8947, 6235, 159696, 1211, 4151, 6, 4, 292, 37826, 6235, 22680, 4113, 98833, 32054, 54260, 79981, 21733, 4113, 4113, 61541, 2648, 4, 292, 199145, 37826, 1470, 75230, 111137, 119718, 7682, 21295, 1285, 1751, 21106, 705, 292, 1285, 19302, 54260, 23269, 148346, 2442, 183512, 37826, 8947, 7243, 6235, 119718, 10705, 16803, 5, 292, 2200, 199145, 37826, 22753, 7746, 6235, 236376, 148346, 36326, 609, 4151, 6235, 36326, 161829, 32, 292, 212053, 3373, 26, 68313, 4838, 148346, 2702, 39083, 36609, 101251, 24621, 2932, 44779, 199145, 13159, 3056, 3069, 6, 236376, 1211, 4151, 148346, 54260, 4, 37826, 6, 57277, 39340, 1470, 75230, 4667, 895, 7972, 220273, 219947, 42493, 8903, 236376, 4151, 710, 148346, 6093, 5, 292, 21422, 37826, 22753, 95455, 3069, 163139, 46053, 6235, 8903, 148346, 1211, 11265, 4113, 895, 16932, 1211, 705, 2451, 5666, 54260, 1211, 292, 95455, 2205, 6235, 159696, 1211, 874, 142429, 23269, 5, 3496, 64260, 3131, 3373, 26, 506, 64260, 7746, 166777, 220273, 219947, 6235, 212484, 2882, 6, 236376, 1211, 4151, 710, 148346, 6093, 4, 37826, 895, 7972, 6235, 506, 40096, 95455, 6235, 46590, 2451, 2702, 54260, 6, 148346, 54260, 10676, 10339, 21106, 3373, 54260, 6, 148346, 54260, 6, 47351, 64769, 28726, 12984, 292, 36324, 22753, 6, 94741, 63020, 8947, 6319, 54260, 119132, 219947, 1470, 75230, 2702, 225975, 1211, 2200, 193178, 4151, 69355, 4838, 167048, 141847, 1211, 27855, 24621, 119718, 103023, 1211, 192556, 5, 292, 10918, 22753, 37826, 4151, 113889, 4667, 6, 195054, 161577, 4151, 69355, 32, 292, 3523, 54260, 1211, 6, 4, 7243, 6, 148346, 165592, 905, 83182, 5, 119718, 120467, 6319, 68558, 18225, 54745, 1211, 657, 54260, 35465, 4151, 69355, 6, 4, 199145, 4838, 54745, 39340, 163139, 205131, 7746, 230764, 705, 29771, 148346, 6093, 3120, 6, 47351, 4838, 83182, 6, 170355, 4667, 37826, 22753, 6235, 506, 40096, 28415, 161048, 18630, 210404, 5, 73784, 148346, 54260, 3131, 22426, 15350, 292, 215031, 6, 170355, 4667, 5, 7201, 23173, 26612, 101328, 61621, 292, 1470, 75230, 4667, 2205, 364, 75230, 4852, 3120, 11265, 4113, 895, 16932, 1211, 2205, 6, 142429, 141943, 39293, 292, 3056, 22753, 22639, 35189, 94626, 6, 4, 2205, 99509, 6093, 40026, 38596, 54260, 2882, 4, 6, 23173, 75230, 2702, 3120, 11265, 21422, 5, 46685, 6, 5, 199145, 3056, 6235, 147713, 1211, 2205, 186046, 16932, 2200, 37826, 7746, 6235, 212484, 2882, 9213, 148346, 53414, 506, 75230, 4852, 3069, 1285, 6, 186145, 22426, 6, 23173, 75230, 6293, 6, 4, 110573, 10069, 6, 23173, 75230, 7201, 13342, 104378, 2205, 8947, 10918, 46685, 5, 22753, 37826, 2648, 99766, 1211, 6235, 119718, 39083, 2882, 6, 4, 163139, 11265, 43649, 54260, 61397, 3056, 6235, 159696, 1211, 4, 6, 212484, 1211, 1470, 75230, 184537, 15435, 1211, 6, 78683, 159696, 2808, 54260, 35189, 1285, 895, 16932, 1211, 6, 104378, 6, 68558, 5, 22753, 3056, 1751, 75230, 1211, 64699, 6235, 506, 40096, 190800, 8903, 240863, 12483, 26612, 364, 21106, 148346, 1211, 43649, 218241, 6, 4, 123736, 148346, 6093, 162726, 905, 34709, 17310, 37826, 22753, 4151, 104149, 6, 57277, 39340, 230764, 10676, 506, 21106, 148346, 1211, 43649, 218241, 6, 5, 6, 148346, 54260, 2050, 7508, 183512, 4, 364, 23173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 6, 148346, 54260, 1285, 6, 186145, 22426, 4, 11265, 895, 16932, 4113, 4, 2205, 75322, 6093, 125897, 172312, 8903, 506, 174121, 1751, 159696, 82576, 3373, 29771, 7916, 4113, 4, 292, 163139, 22753, 43649, 54260, 2882, 2200, 2932, 54260, 2882, 5, 22753, 3056, 6235, 159696, 1211, 132025, 8903, 97634, 1211, 2205, 4838, 6, 238144, 2702, 19302, 54260, 2648, 2200, 37826, 5332, 22426, 13159, 230764, 2702, 29771, 2865, 59929, 6, 212915, 4, 4151, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 6, 12483, 132, 65283, 88142, 97634, 2865, 59929, 6, 212915, 26612, 874, 142429, 119132, 185527, 6235, 226112, 15388, 1470, 75230, 33225, 6319, 137377, 4838, 30109, 48904, 7611, 3120, 119055, 59929, 6093, 2442, 75230, 56880, 10069, 364, 35596, 37826, 22753, 6235, 234221, 56170, 1644, 54260, 98833, 230764, 4151, 6, 148346, 60071, 2882, 2200, 22753, 37826, 13342, 11265, 4838, 1751, 218241, 1644, 6235, 97634, 1211, 5, 292, 3373, 29771, 7916, 4113, 4, 18133, 6, 148346, 34533, 220273, 81444, 32, 292, 37826, 10069, 43649, 54260, 1211, 8903, 148346, 7972, 148346, 65482, 895, 1644, 12483, 4838, 129165, 2932, 6235, 97634, 1211, 364, 21106, 148346, 32054, 54260, 103023, 364, 21106, 148346, 35189, 25391, 218241, 1211, 5, 6, 94741, 87311, 75386, 37826, 3373, 29771, 7916, 4113, 6, 113889, 4944, 75322, 39083, 4838, 1751, 218241, 1644, 6235, 97634, 1211, 2200, 2205, 151227, 2050, 6235, 119718, 29766, 1211, 5, 22753, 3056, 6235, 119718, 29766, 1211, 190800, 30473, 4944, 46545, 5, 6, 148346, 21106, 2648, 3056, 22753, 6235, 119718, 29766, 1211, 165592, 75230, 4, 163139, 3373, 26, 39293, 2882, 6, 75322, 39083, 4838, 147582, 2702, 213952, 4113, 3496, 119718, 21106, 17645, 3120, 364, 54260, 101608, 9181, 23741, 4, 2200, 35189, 113889, 4667, 3056, 6, 148346, 104383, 28415, 3120, 11265, 220273, 219947, 6235, 148346, 7972, 148346, 1211, 4, 36324, 75230, 36324, 4151, 159696, 2932, 2205, 32054, 54260, 6235, 148346, 7972, 148346, 1211, 56170, 895, 1644, 12483, 5, 123736, 148346, 6093, 4151, 113889, 4667, 37826, 7746, 6, 23173, 75230, 36419, 8903, 119718, 15533, 1211, 6, 4, 36324, 2205, 4151, 55242, 1644, 148346, 6093, 40026, 2865, 29766, 15388, 155697, 3056, 11265, 1751, 159696, 82576, 2702, 29771, 7916, 4113, 74806, 205416, 148346, 1211, 2205, 82977, 101328, 24152, 3120, 4838, 506, 23173, 7611, 171433, 10918, 16747, 17310, 5, 3111, 4, 292, 37826, 6235, 134727, 2882, 364, 183718, 6319, 59929, 205416, 22426, 4, 6, 148346, 14236, 1285, 19302, 4113, 4113, 61541, 13720, 64260, 8947, 70845, 4151, 8300, 54260, 21295, 292, 95455, 37826, 81444, 4667, 6, 109995, 4, 95455, 6, 212484, 2882, 4852, 18167, 364, 53414, 5, 1285, 4151, 3131, 54260, 3111, 23405, 81444, 4, 4151, 16175, 75230, 2882, 7201, 21106, 6428, 99766, 1211, 4, 292, 6, 21106, 5666, 7201, 21106, 2702, 6319, 68558, 18225, 6, 104149, 81444, 4838, 8903, 119718, 21292, 1211, 3069, 235210, 43178, 506, 48904, 2932, 2200, 7369, 37826, 18330, 171665, 448, 8903, 159696, 1211, 132025, 2882, 54260, 1644, 3069, 6, 101470, 2205, 4838, 6, 150349, 710, 166198, 34533, 152185, 6235, 39293, 1644, 95494, 23741, 3131, 22426, 15350, 95766, 4838, 137, 2932, 212484, 55049, 1211, 155, 292, 4838, 46440, 4, 119055, 13845, 107581, 874, 26, 506, 64260, 236512, 31467, 101251, 8903, 2648, 69127, 6, 148346, 26612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31249, 120467, 1211, 1470, 54260, 57619, 905, 29766, 2648, 171428, 7265, 895, 1644, 12483, 6, 148346, 2442, 183512, 4, 6, 148346, 41643, 2648, 56170, 6428, 155, 2442, 30109, 218241, 29766, 64310, 1211, 6, 4, 119055, 13845, 104238, 37826, 8947, 1470, 54260, 59919, 30473, 4944, 46545, 56170, 148346, 64260, 1211, 5, 5666, 29766, 6235, 119718, 710, 36419, 6, 149364, 4852, 239162, 1211, 220224, 49008, 67826, 44478, 506, 54260, 2882, 3069, 2932, 21660, 75230, 15388, 6235, 119718, 29766, 1211, 13342, 4151, 22753, 8300, 17310, 199145, 3056, 160238, 130991, 2205, 49920, 2865, 71512, 19302, 4113, 4113, 61541, 150715, 10918, 46685, 5, 4838, 89642, 4151, 6, 148346, 21106, 4113, 148346, 120467, 18415, 4, 364, 183718, 6319, 59929, 205416, 22426, 2200, 4151, 19302, 54260, 59461, 148346, 2442, 183512, 220224, 49008, 6428, 99766, 1211, 1470, 75230, 4667, 6235, 159696, 1211, 1285, 32054, 75230, 12483, 1751, 16932, 2200, 17190, 119718, 710, 2200, 1285, 2865, 114436, 292, 6, 21106, 148346, 8580, 4151, 6, 153222, 4667, 6, 159696, 57619, 13845, 2200, 6428, 155, 2442, 6, 140980, 17268, 5, 2205, 29771, 119718, 13497, 7369, 29659, 119055, 12483, 4151, 220224, 61397, 37826, 74806, 203749, 1211, 9424, 12483, 4, 3056, 18225, 7746, 67826, 44478, 506, 54260, 2882, 3069, 5666, 75230, 7201, 130991, 2200, 874, 26, 506, 64260, 27855, 22426, 48253, 188301, 3069, 8903, 98055, 2882, 7746, 3069, 10069, 42976, 9134, 4, 119055, 13845, 107581, 49920, 2865, 71512, 37826, 6235, 101296, 40920, 2200, 119055, 13845, 107581, 220224, 49008, 6, 148346, 26612, 3131, 57277, 49008, 4151, 8580, 199145, 230764, 4838, 7243, 8903, 2648, 87442, 1211, 6319, 54260, 28726, 15949, 38249, 6, 147502, 3120, 9719, 18415, 44478, 17824, 54260, 2702, 22639, 144754, 1211, 21422, 46685, 4, 37826, 18225, 4838, 159696, 4484, 190135, 6, 238144, 1211, 2932, 212484, 9213, 148346, 6093, 8903, 75290, 16932, 506, 54260, 2882, 4, 159308, 6, 64991, 6, 23173, 75230, 6293, 5, 4838, 68550, 4, 1470, 75230, 33225, 7508, 183512, 3120, 147502, 4, 220224, 49008, 6235, 147713, 1211, 1470, 75230, 2702, 195054, 54260, 98833, 2205, 6235, 506, 6093, 125897, 1285, 16803, 48904, 64213, 19302, 54260, 23269, 148346, 54260, 16747, 44779, 4, 657, 75230, 2882, 220224, 6093, 6235, 238144, 5666, 192956, 2442, 6, 148346, 26612, 29659, 52480, 17310, 292, 46440, 101296, 24152, 13159, 4, 19, 2442, 6093, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 304, 1662, 92500, 2181, 220224, 49008, 230764, 220224, 6235, 159696, 1211, 1470, 75230, 111137, 25391, 710, 148346, 1211, 7265, 16175, 41595, 1285, 6, 105780, 6293, 2200, 8300, 119718, 48904, 10918, 4484, 42122, 850, 37640, 66293, 6, 21106, 7201, 26612, 148346, 29060, 5, 40026, 20616, 37826, 1285, 19302, 4113, 4113, 61541, 2648, 4151, 71804, 23405, 2882, 16175, 54260, 2200, 874, 26, 506, 64260, 8947, 1470, 75230, 7201, 139449, 7265, 6, 94741, 20260, 148346, 23173, 4484, 54260, 2882, 4, 6, 238144, 1644, 10069, 32054, 75230, 12483, 1751, 16932, 2200, 17190, 119718, 710, 151614, 148346, 1211, 7746, 292, 7243, 6235, 98055, 2882, 230764, 4151, 16580, 16747, 152185, 101251, 113687, 103023, 54260, 2882, 3120, 4151, 46440, 292, 6235, 4484, 203749, 2882, 230764, 21422, 16932, 207591, 18895, 18630, 115222, 21295, 2200, 230764, 364, 23173, 7611, 21733, 71577, 161829, 5, 6, 113889, 133324, 46598, 11211, 874, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 506, 64260, 7746, 35189, 119718, 23173, 63593, 2882, 6, 4, 37826, 18225, 7746, 4838, 159696, 4484, 8903, 39293, 56169, 4838, 68550, 78104, 31249, 5, 1285, 6, 148346, 21106, 54260, 40920, 17310, 3056, 6235, 159696, 1211, 4838, 67882, 226112, 39293, 5, 6, 238144, 1644, 1285, 6, 148346, 21106, 4113, 148346, 120467, 18415, 37826, 236512, 31467, 67826, 2865, 17310, 1470, 75230, 2702, 195054, 29771, 81829, 10676, 6, 178047, 21338, 29771, 2865, 22426, 2200, 6235, 212484, 2882, 6, 148346, 2442, 171428, 6, 148346, 1644, 75230, 4852, 2648, 120467, 4838, 144532, 8903, 506, 15350, 18415, 6, 76776, 40920, 28726, 2865, 22426, 1644, 5, 148932, 1470, 54260, 57619, 123329, 37826, 6, 94741, 87311, 75386, 21338, 54260, 40920, 6, 23173, 75230, 111137, 1644, 54260, 98833, 4838, 6, 223390, 6093, 230764, 10676, 6, 64991, 3120, 34076, 68558, 5, 36324, 75230, 3056, 8903, 159696, 1211, 1285, 14856, 97634, 20315, 5, 874, 26, 506, 64260, 120202, 8903, 119718, 23173, 2882, 10676, 6, 87311, 96302, 119055, 12483, 95455, 4269, 212484, 159696, 2882, 7746, 132025, 506, 75230, 148346, 1211, 22444, 38249, 5, 2648, 120467, 37826, 6235, 88660, 13497, 657, 54260, 40920, 74806, 12483, 6, 4, 6, 238144, 1644, 1285, 6, 147502, 22426, 1644, 174121, 3056, 8903, 159696, 1211, 4838, 34076, 174121, 4, 4151, 7508, 183512, 3120, 4269, 212484, 3056, 6235, 159696, 1211, 74806, 1644, 131539, 4, 2200, 4151, 2648, 55049, 6, 4, 119055, 13845, 12984, 6, 51437, 29771, 148346, 1211, 1470, 75230, 2702, 8903, 14004, 148346, 2882, 1285, 657, 54260, 40920, 23173, 75230, 111137, 1644, 54260, 2932, 18415, 4, 21422, 16932, 213952, 4113, 6, 223390, 6093, 4, 3056, 6235, 159696, 1211, 230764, 1470, 54260, 1211, 6, 99766, 28415, 4838, 119055, 6093, 46545, 21106, 6093, 4, 1470, 75230, 33225, 8300, 238144, 28320, 6, 99766, 6, 4, 6, 75230, 35189, 4, 3056, 7369, 6235, 240863, 12483, 47833, 4838, 46685, 220224, 46545, 6093, 6, 120749, 17310, 4, 238144, 1644, 7369, 3056, 3523, 40096, 9221, 44779, 4, 7243, 6235, 159696, 1211, 115825, 4944, 195164, 7682, 4, 36324, 75230, 4, 36324, 7369, 119055, 39083, 2882, 144754, 4151, 9424, 54260, 2882, 6235, 3111, 2932, 6235, 159696, 1211, 6, 4, 95455, 4269, 212484, 170479, 7746, 120202, 55049, 1211, 3120, 159308, 5, 95766, 4151, 41764, 89184, 59919, 17645, 3120, 6, 148346, 26612, 159696, 3111, 23405, 2702, 61541, 2648, 119055, 29060, 8947, 7746, 18330, 124470, 28714, 132025, 29659, 75230, 46053, 2808, 75230, 6293, 42122, 850, 4, 2200, 1470, 75230, 148346, 6, 64260, 1285, 42122, 850, 4, 230764, 119055, 13845, 107581, 3373, 37271, 159696, 2882, 7746, 132025, 155, 29659, 75230, 46053, 6, 4, 6, 159696, 67873, 7746, 3069, 5666, 75230, 21066, 54260, 15388, 230764, 119055, 6093, 16932, 2200, 6, 23173, 75230, 2702, 148346, 25207, 183216, 119055, 13845, 12984, 2702, 26, 68313, 6, 109995, 4, 119055, 29060, 95455, 220224, 1211, 6, 47351, 22639, 6093, 44779, 220224, 6093, 224220, 22426, 7972, 138194, 18415, 7369, 3131, 54260, 3111, 23405, 4, 4838, 6, 123103, 80453, 142429, 905, 20911, 3120, 6, 119859, 69106, 4, 364, 21106, 148346, 2200, 1470, 23174, 48904, 64213, 101251, 148346, 26612, 119718, 10705, 16803, 30473, 29171, 4113, 6, 109316, 96302, 1211, 5, 1285, 104395, 448, 6, 159696, 67873, 7265, 506, 13845, 33225, 6, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 65848, 148346, 1211, 3120, 4852, 54260, 6093, 119055, 10705, 13497, 3131, 15, 21106, 7611, 1470, 54260, 16667, 21422, 220224, 163139, 67873, 874, 56401, 220224, 1211, 7746, 3069, 6, 64260, 4151, 89835, 506, 4, 21422, 7243, 16, 2200, 77014, 159696, 2882, 36324, 75230, 4838, 68550, 6, 84577, 29659, 54260, 1211, 4838, 8903, 506, 54260, 46685, 13515, 171665, 2050, 69355, 33718, 20260, 109316, 3523, 83586, 16629, 40920, 1211, 6, 148346, 54260, 2050, 110573, 76866, 6, 47351, 130170, 6093, 10069, 3131, 3069, 235210, 43178, 119718, 9221, 38249, 1644, 104855, 609, 110573, 12666, 18553, 29659, 129165, 2865, 20315, 21776, 124740, 57277, 28320, 137, 2205, 119055, 13845, 107581, 10676, 6, 5594, 15435, 2702, 33718, 20260, 109316, 6, 109316, 96302, 1211, 6, 159696, 67873, 6, 148346, 40096, 54260, 1644, 93449, 220224, 1211, 28415, 84475, 6, 238144, 29171, 6093, 4, 4838, 14857, 57277, 24152, 119364, 123736, 148346, 6093, 292, 874, 8632, 4151, 19302, 54260, 59461, 3944, 148346, 6093, 895, 7972, 5, 95455, 151614, 148346, 1211, 304, 1530, 97634, 2865, 59929, 6, 212915, 95766, 6, 124470, 31212, 76961, 6235, 119718, 10705, 16803, 160238, 75230, 2702, 2200, 364, 183718, 6319, 59929, 205416, 22426, 37826, 2181, 26612, 46590, 905, 6, 4, 657, 75230, 2882, 220224, 1211, 43649, 54260, 61397, 4, 1470, 75230, 2702, 8903, 22426, 1644, 75230, 35189, 2882, 6, 148346, 14236, 874, 26, 68313, 6235, 39293, 46053, 7265, 10918, 16932, 213952, 4113, 6, 223390, 6093, 2200, 874, 26, 506, 64260, 6235, 119718, 23173, 2882, 5, 95455, 1751, 75230, 35189, 1211, 2200, 95455, 506, 23173, 8300, 21733, 71577, 161829, 6, 148346, 54260, 1285, 6, 94741, 51723, 2200, 1285, 6235, 8300, 119718, 2808, 17310, 65482, 9181, 175483, 54260, 2882, 96116, 10069, 364, 53414, 37826, 7746, 1470, 75230, 4667, 6, 139449, 4151, 69355, 6, 4, 292, 4151, 69355, 4, 364, 54260, 16803, 8947, 4, 199145, 4852, 54260, 151614, 148346, 1211, 7746, 3069, 5666, 75230, 7201, 139449, 2205, 4151, 67826, 44478, 6, 76776, 40920, 119490, 6, 47351, 60118, 54260, 59461, 46440, 7265, 220224, 6093, 6, 76776, 29631, 4, 119490, 4838, 22518, 37016, 37075, 7682, 5666, 54260, 61397, 133671, 1470, 75230, 2702, 4, 80453, 33809, 119718, 3120, 1285, 101251, 148346, 233364, 194734, 16175, 54260, 67873, 2205, 7746, 37189, 27720, 4, 2200, 151614, 148346, 1211, 120202, 8903, 119718, 23173, 2882, 230764, 4231, 65482, 874, 48904, 40697, 4, 364, 21106, 148346, 170315, 4852, 101328, 59461, 40697, 4, 364, 21106, 148346, 6, 170355, 4944, 192956, 33718, 161829, 1211, 5, 6, 148346, 1644, 75230, 4852, 110573, 10069, 3069, 13342, 8903, 148346, 1211, 54745, 6093, 6, 170355, 4667, 4838, 7201, 29766, 2050, 6, 4, 119490, 192183, 159696, 69106, 364, 54260, 16803, 8947, 4, 37826, 18225, 6, 148346, 26612, 29659, 710, 63532, 4, 36324, 37729, 10676, 4269, 212484, 6, 159696, 67873, 6, 158548, 54260, 82576, 3120, 6658, 448, 7508, 54260, 35465, 3069, 4151, 56170, 235210, 1644, 17310, 5, 49920, 6, 21106, 148346, 710, 49008, 37826, 51723, 9213, 148346, 6093, 8903, 8903, 148346, 1211, 4, 36324, 7369, 170479, 1470, 75230, 81860, 4113, 15388, 2200, 7746, 190800, 15907, 11556, 13159, 1211, 7265, 10069, 4269, 54260, 175483, 4113, 110573, 15662, 850, 199145, 6, 159696, 67873, 81444, 6, 148346, 21106, 2648, 1470, 75230, 87178, 213783 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 238144, 1644, 6, 150839, 64260, 1751, 75230, 1211, 6, 75322, 39083, 81444, 2200, 6428, 99766, 1211, 132025, 2882, 54260, 1644, 6, 139449, 2205, 6, 150349, 85310, 92178, 147502, 48350, 31623, 109226, 5, 2702, 26, 4852, 54260, 49008, 4838, 159696, 4484, 9424, 119718, 48904, 10918, 4484, 238419, 2200, 28415, 5, 4151, 1751, 97634, 6293, 73784, 36326, 22426, 153222, 1211, 37826, 7746, 9213, 2702, 8903, 212484, 2882, 6, 4, 1285, 200795, 145813, 48904, 23405, 37826, 2190, 95064, 506, 77188, 5, 874, 26, 506, 64260, 130170, 8903, 3131, 22426, 23173, 2882, 1285, 198754, 4113, 364, 84577, 2205, 4151, 130154, 6093, 5, 35189, 6, 153222, 4667, 6, 159696, 57619, 13845, 37826, 6235, 234221, 6, 148346, 54260, 6, 84577, 13982, 63593, 21295, 119055, 53414, 5, 895, 1644, 12483, 148346, 2442, 183512, 37826, 6235, 506, 40096, 132025, 8903, 3131, 22426, 23173, 2882, 657, 54260, 40920, 11265, 4113, 6, 223390, 6093, 2200, 37826, 132025, 190135, 11265, 17824, 75230, 46053, 2200, 7508, 54260, 119132, 192544, 65689, 6, 148346, 105330, 124724, 87442, 230764, 10676, 76776, 40920, 28726, 2865, 22426, 1644, 5, 22426, 12666, 34709, 17310, 37826, 95455, 4269, 212484, 7746, 4838, 6, 148346, 75230, 2932, 6235, 97634, 1211, 6, 4, 6, 21106, 71577, 6235, 97634, 1211, 2200, 4852, 18167, 6, 23173, 75230, 2702, 61397, 905, 20911, 3120, 130170, 1285, 364, 35596, 5, 874, 26, 506, 64260, 7265, 7544, 6, 113889, 4944, 61397, 905, 20911, 10069, 6, 223390, 6093, 5, 7369, 37826, 7746, 36324, 75230, 3069, 8903, 95494, 33716, 6, 148346, 15533, 73784, 7508, 183512, 3120, 6, 147502, 68313, 6, 195054, 29771, 33225, 4838, 1751, 46545, 657, 141847, 2808, 75230, 2702, 10676, 6, 148346, 25207, 2932, 2200, 3056, 4151, 113889, 4667, 7265, 4838, 21847, 54260, 104238, 3944, 142170, 98252, 4838, 159696, 4484, 22639, 144754, 1211, 6, 147502, 5, 81444, 37826, 8947, 6, 113889, 4944, 75322, 39083, 4838, 21733, 71577, 6235, 97634, 1211, 2200, 6235, 148346, 7972, 148346, 1211, 43649, 54260, 1211, 67826, 1644, 5, 21106, 63593, 172398, 22518, 37016, 3056, 6235, 159696, 1211, 73784, 16175, 54260, 1644, 4838, 22680, 54260, 2648, 125897, 4, 73784, 16175, 54260, 71804, 41764, 54260, 5666, 192956, 5, 32054, 75230, 1751, 16932, 37826, 4151, 21733, 77188, 7265, 4838, 6, 238144, 23269, 68566, 38249, 6, 110317, 2884, 6, 4, 2865, 26, 4852, 39083, 3944, 148346, 6093, 29659, 1470, 75230, 29111, 53414, 6, 4, 123736, 148346, 6093, 874, 26, 506, 64260, 11265, 6235, 8903, 148346, 1211, 132025, 13342, 506, 53414, 4, 36324, 22753, 35189, 9424, 75230, 148346, 6093, 148346, 23173, 2932, 304, 2681, 506, 64260, 40026, 6093, 6235, 2648, 23173, 23741, 1470, 75230, 2702, 80453, 33809, 119718, 1211, 7746, 2200, 36324, 22753, 170479, 7746, 182261, 56170, 5, 234221, 22444, 98071, 4484, 5, 4151, 64769, 8580, 3056, 6, 4, 6, 71577, 12130, 4, 6, 23173, 54260, 1211, 2205, 46711, 183718, 5, 874, 26, 506, 64260, 6, 148346, 26612, 29659, 710, 63532, 36324, 110573, 10069, 3069, 6, 35596, 59919, 1211, 230764, 6, 101328, 2200, 3523, 54260, 1211, 4, 170479, 95455, 4269, 212484, 7243, 2648, 23173, 33225, 132025, 238144, 56880, 230764, 1285, 42122, 850, 4, 133190, 170479, 6235, 148346, 1211, 10676, 210228, 7265, 2808, 54260, 119132, 2200, 7265, 9424, 238144, 19302 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4113, 22426, 5, 2451, 6235, 7916, 13497, 7746, 81444, 4838, 2932, 54260, 175483, 6093, 110573, 15662, 32, 292, 37826, 6, 21106, 54260, 1211, 7746, 6235, 22680, 4113, 98833, 7265, 4838, 167048, 141847, 6093, 874, 71512, 9213, 148346, 6093, 1285, 115222, 22426, 2205, 4151, 3944, 103023, 54260, 2882, 23173, 8580, 27, 95455, 4269, 212484, 37826, 7746, 4838, 6319, 159696, 177243, 6235, 97634, 1211, 5, 4151, 113889, 4667, 37826, 8947, 26612, 19302, 71577, 6235, 97634, 1211, 230764, 6, 101328, 5, 2451, 163139, 364, 54260, 126934, 32, 292, 37826, 6, 21106, 148346, 8580, 6235, 22680, 4113, 98833, 110573, 107182, 7265, 4838, 6, 95494, 33716, 97634, 1211, 2200, 7369, 37826, 7265, 4838, 6319, 137377, 3131, 218241, 1644, 12483, 56170, 29659, 23173, 20911, 1285, 6, 114436, 62073, 4484, 54260, 2882, 69355, 220224, 1211, 1470, 75230, 81860, 4113, 15388, 5, 2648, 120467, 4269, 212484, 37826, 7746, 6, 139449, 22444, 38249, 5, 8947, 3056, 6, 195054, 29771, 33225, 22753, 65442, 48904, 13456, 92500, 7265, 6, 84577, 31249, 120467, 20260, 54260, 2882, 3120, 874, 23173, 39340, 3069, 874, 23173, 39340, 2200, 4151, 148346, 54260, 3056, 2181, 21106, 63593, 39083, 98252, 195054, 29771, 33225, 4838, 1751, 46545, 73784, 159308, 3120, 6, 147502, 5, 3373, 26, 68313, 6, 195054, 29771, 33225, 13342, 2050, 1470, 4, 73784, 3373, 4, 73784, 615, 4838, 6, 238144, 28726, 37826, 7746, 6235, 29257, 40920, 4, 36324, 3373, 68313, 7201, 23173, 101296, 16932, 2882, 6235, 119718, 29766, 1211, 6, 4, 9424, 29060, 73136, 21295, 7746, 2200, 36324, 3373, 26, 238144, 16803, 28415, 7243, 119718, 10705, 3069, 4269, 54260, 1211, 6, 4, 6, 148346, 21106, 2648, 123736, 148346, 6093, 37826, 8947, 6, 238144, 16932, 1470, 75230, 2702, 8903, 17268, 49008, 1285, 1751, 4, 10069, 41764, 2200, 1285, 4269, 54260, 43649, 13845, 124724, 160238, 711, 3373, 26, 68313, 6235, 159696, 1211, 6, 57277, 39340, 364, 39083, 59461, 148346, 48788, 107811, 5110, 31467, 21660, 11556, 4, 4151, 4269, 54260, 16803, 364, 39083, 61397, 4, 199145, 37826, 6235, 119718, 10705, 16803, 1285, 6, 104038, 144754, 1211, 6, 148346, 710, 35044, 9934, 21106, 7611, 1470, 165592, 155, 119718, 4, 37826, 7746, 123736, 148346, 6093, 4, 3120, 4151, 4838, 83182, 42493, 4, 95766, 6319, 54260, 1211, 131397, 170355, 12984, 7243, 6235, 9719, 29659, 5, 7369, 3056, 182261, 6235, 159696, 1211, 81444, 6, 4, 6235, 21066, 75230, 15388, 2205, 4151, 9181, 23741, 6, 4, 74806, 159696, 148346, 2882, 4838, 68550, 10676, 30109, 4113, 179561, 115374, 5, 119718, 120467, 6319, 68558, 18225, 132025, 506, 54260, 148346, 1211, 160204, 7265, 70845, 705, 4151, 19302, 161459, 71107, 3056, 8903, 148346, 7972, 18406, 22753, 64213, 4838, 6, 148346, 710, 35044, 56170, 76776, 12415, 29659, 5, 874, 26, 506, 64260, 7746, 67826, 44478, 506, 54260, 2882, 2200, 4269, 18167, 6235, 234221, 6, 47351, 5332, 8632, 4, 199145, 874, 26, 4852, 39083, 6, 101470, 6, 148346, 54260, 70845, 1470, 75230, 81860, 4113, 15388, 5, 6, 21106, 148346, 8580, 37826, 73784, 72507, 212837, 15435, 54196, 7746, 3069, 129165, 15388, 4, 3120, 199145, 56170, 4838, 43649, 183512, 364, 39083, 61397, 2205, 6235, 159696, 1211, 6, 148346, 54260, 2050, 17190, 148346, 1211, 2200, 7265, 199145, 7369, 37826, 7746, 6, 148346, 26612, 36326, 23741, 93449 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]