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
[ 54260, 2932, 5666, 95494, 23741, 1211, 4, 15, 22680, 75230, 2648, 1285, 7369, 64260, 7682, 4, 6, 93704, 44478, 95455, 6235, 46590, 69355, 7544, 83182, 159696, 2442, 46545, 54260, 2882, 16, 119055, 13845, 107581, 21923, 2205, 6, 47351, 88771, 43449, 75230, 4852, 10339, 39083, 15388, 3120, 1285, 4113, 88660, 113889, 2865, 40697, 101251, 105235, 16747, 1211, 4, 56170, 4151, 157175, 3120, 76961, 3373, 47912, 4, 3056, 3496, 64260, 3131, 48350, 54260, 57973, 6235, 506, 40096, 4838, 186421, 2205, 4151, 224252, 48904, 7611, 4, 6, 199511, 220224, 81444, 4667, 4838, 17824, 75230, 46053, 3111, 64213, 2200, 4151, 190386, 4113, 12984, 4, 37729, 220224, 123073, 160238, 3131, 109226, 40653, 4151, 115556, 192956, 2442, 41764, 21087, 4944, 39083, 29771, 46677, 4, 1470, 75230, 2702, 13342, 13458, 54260, 16932, 1211, 2200, 56170, 55823, 175483, 1211, 6235, 119718, 710, 36419, 16175, 54260, 67873, 69355, 1285, 6, 91595, 4113, 4, 86510, 4113, 4, 874, 171433, 34533, 40697, 6, 208048, 7972, 56880, 3120, 10676, 874, 23173, 13805, 78653, 15, 219947, 8903, 98055, 2882, 4151, 75230, 6293, 199145, 2205, 41764, 12415, 112690, 22426, 3056, 7369, 107020, 119859, 57619, 1211, 196991, 220224, 16, 119055, 13845, 104238, 23269, 63532, 6, 23173, 54260, 1211, 2205, 7746, 236512, 220224, 1211, 84087, 4852, 54260, 46545, 54260, 2882, 1470, 75230, 4667, 10676, 81444, 4852, 133671, 6235, 94114, 69355, 160238, 81829, 5, 10069, 84087, 4852, 54260, 46545, 54260, 2882, 43649, 87442, 7243, 2205, 10676, 6, 116174, 64567, 26632, 3120, 220264, 4, 133190, 95766, 10676, 17824, 41595, 28726, 12984, 1470, 75230, 2702, 29659, 41731, 52541, 1285, 10184, 28726, 220224, 28320, 3120, 98478, 4, 2205, 10676, 1982, 26612, 23847, 54260, 33225, 2200, 4151, 21733, 53414, 1285, 56170, 3131, 88945, 76776, 33716, 125897, 874, 48904, 42733, 119273, 215726, 2702, 3120, 710, 65482, 364, 75230, 22426, 2882, 41764, 12415, 112690, 22426, 1211, 4, 119055, 13845, 107581, 21923, 1285, 207013, 2205, 10676, 4838, 97634, 2050, 2200, 95766, 4151, 4269, 48904, 89930, 8248, 49008, 235728, 2819, 2205, 10676, 4151, 4484, 171428, 95455, 163139, 24152, 1211, 3120, 10069, 6235, 39293, 64213, 4, 119055, 13845, 107581, 21923, 2205, 4151, 115556, 192956, 2442, 6235, 39293, 1644, 95494, 23741, 4, 6, 172060, 185226, 119718, 710, 2205, 4151, 4269, 48904, 89930, 6, 76776, 29631, 4, 1470, 54260, 159377, 4, 123736, 12890, 87442, 710, 119718, 2200, 4, 101251, 137377, 506, 141847, 7682, 3120, 10705, 54561, 6093, 163139, 67873, 4, 6, 87311, 99611, 147502, 2200, 51678, 7243, 37729, 10676, 46711, 7682, 3120, 119055, 6093, 16932, 183512, 6093, 3131, 119055, 53414, 5, 2648, 120467, 1751, 186145, 18406, 1470, 75230, 2702, 13342, 8903, 7916, 49008, 6, 47351, 1470, 54260, 5927, 54260, 2882, 192956, 15857, 80885, 24621, 4, 6, 75322, 171433, 34533, 40697, 32887, 29766, 17645, 199145, 3056, 1285, 9721, 54260, 2882, 80885, 6235, 59461, 21106, 15533, 215726, 4, 3056, 7201, 23173, 1982, 88917, 1211, 7265, 4838, 17824, 13159, 6093, 56170, 24621, 119364, 7746, 4, 7265, 4838, 163139, 67873, 132025, 13342, 4944, 71577, 1211, 10676, 159377, 564, 54260, 1285, 49920, 59461, 2200, 70845, 27702, 8300, 119718, 710, 183216, 4, 6, 48904, 29659, 64260, 7746, 6, 113889, 4944, 13342, 3131, 28726, 22426, 1211, 125523, 4852, 54260, 1211, 6, 37016, 5, 2648, 120467, 3056, 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 ]
[ 1751, 186145, 18406, 3069, 4151, 4484, 171428, 2200, 27702, 506, 6093, 81829, 1285, 4269, 48904, 26394, 6, 159696, 21295, 4, 26612, 6, 80453, 119718, 905, 16175, 32097, 6, 23173, 54260, 57619, 41731, 12415, 183216, 2200, 6235, 17268, 49008, 95455, 4838, 122868, 63593, 54260, 23269, 4, 199145, 56170, 2808, 54260, 29171, 2882, 10676, 4269, 48904, 64213, 6, 88660, 114349, 120467, 4, 95455, 3056, 4838, 56170, 2865, 119273, 1470, 75230, 2702, 13342, 7201, 29766, 81829, 6, 148222, 54260, 5927, 54260, 2882, 3120, 10676, 56170, 3131, 88945, 119132, 2200, 4838, 122868, 63593, 54260, 119132, 2205, 148932, 6, 170355, 4667, 152, 6, 148222, 54260, 5927, 54260, 2882, 4, 199145, 27702, 29659, 54260, 2882, 2205, 4151, 56170, 12890, 16747, 17310, 2200, 1470, 75230, 21066, 48350, 17310, 4, 2205, 6, 196332, 39293, 64213, 3120, 27702, 159696, 2932, 17310, 2200, 6, 192539, 17310, 3120, 76961, 123736, 12890, 87442, 1211, 5, 87311, 5666, 78653, 874, 54260, 13497, 7243, 95455, 9424, 43178, 75230, 7201, 123103, 1211, 76961, 27702, 68566, 33225, 2205, 1470, 54260, 1211, 6, 78683, 36326, 4, 119718, 710, 6235, 119718, 710, 36419, 2190, 21295, 48775, 6, 87311, 35189, 23269, 6, 87311, 7511, 119364, 6, 234221, 4, 95455, 874, 54260, 13497, 133190, 95455, 46464, 12984, 1285, 364, 75230, 22426, 2882, 3373, 47912, 3120, 6, 170355, 12984, 4, 220224, 6093, 34482, 3131, 80453, 17310, 5, 2648, 120467, 3056, 1285, 6, 84577, 20315, 4484, 17310, 3120, 4231, 114436, 1285, 21106, 87442, 152185, 1470, 54260, 5927, 54260, 2882, 4, 2205, 159696, 1644, 104238, 178766, 4269, 54260, 16803, 119055, 77188, 4151, 4484, 35596, 3373, 54260, 2205, 220224, 1211, 4151, 3131, 54260, 3111, 23405, 4838, 75386, 10069, 15857, 194734, 39293, 3120, 4151, 67882, 16932, 17645, 2200, 3373, 54260, 4, 2205, 4151, 207013, 2442, 9424, 54260, 2882, 4, 4838, 75386, 5, 5, 874, 15857, 94741, 617, 185758, 4838, 50778, 18415, 39293, 2819, 4838, 75386, 1285, 10339, 39083, 8903, 4, 199145, 119055, 77188, 37729, 1285, 6235, 39293, 64213, 3120, 78683, 2808, 119718, 1644, 131044, 1470, 75230, 4667, 4838, 157175, 2205, 1285, 56170, 16629, 2648, 65482, 165284, 33225, 3120, 4151, 6, 84577, 119718, 7682, 1644, 17310, 3120, 67882, 16932, 17645, 114436, 46677, 5, 10069, 10339, 39083, 88660, 2865, 65482, 132025, 159696, 16747, 17310, 3120, 10676, 874, 171433, 34533, 65689, 4, 22639, 108264, 15231, 119718, 1211, 4, 10069, 21106, 87442, 65689, 58573, 142429, 3120, 10676, 364, 34533, 29766, 65689, 2200, 84087, 120467, 29771, 7201, 65689, 67882, 16932, 710, 21106, 78653, 4, 119055, 13845, 104238, 3056, 178748, 44779, 133190, 2205, 4838, 6, 48775, 10918, 239162, 44478, 4, 3373, 29771, 10918, 21106, 34533, 152185, 29766, 2648, 3111, 23405, 15, 119718, 120467, 42542, 95298, 3120, 11265, 220224, 2882, 1470, 75230, 2702, 8903, 39340, 2865, 23741, 119055, 53414, 133190, 7265, 35189, 11211, 108968, 3120, 10676, 55242, 22849, 1211, 58573, 142429, 4, 119055, 13845, 104238, 6, 84577, 119718, 7682, 21295, 7746, 125523, 130170, 35189, 6319, 71577, 15907, 21106, 34533, 152185, 123736, 38054, 3111, 23405, 4, 2200, 119055, 77188, 6235, 95494, 33225, 4838, 3373, 4667, 40026, 6093, 1470, 54260, 35189, 6093, 42542, 6, 120749, 7682, 132025, 8903, 159696, 16747, 29060, 119055, 53414, 16, 3056, 95455, 29434, 54260, 80885, 80885, 174538, 4, 37729, 159696, 1644, 12984 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 51678, 1470, 75230, 114349, 54260, 35465, 95455, 56170, 98055, 1211, 1285, 4838, 122868, 63593, 54260, 23269, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 95766, 1285, 27702, 46464, 83182, 4113, 6235, 36326, 161829, 1211, 2200, 4151, 3131, 54260, 5666, 109226, 4, 163139, 1470, 75230, 4667, 95455, 56170, 39293, 12483, 10069, 27702, 46464, 83182, 4113, 3496, 23173, 129071, 89184, 175483, 13159, 130170, 1285, 4838, 122868, 63593, 54260, 23269, 4838, 1982, 34575, 92605, 42180, 2702, 5, 10069, 6, 84577, 119718, 7682, 1644, 17310, 3120, 6, 238144, 16932, 2648, 125897, 4838, 1982, 34575, 92605, 42180, 2702, 4, 15, 119718, 120467, 119055, 53414, 46685, 16803, 13497, 54260, 1644, 6235, 101296, 40920, 37729, 4151, 163139, 2702, 5666, 95494, 23741, 16, 95455, 56170, 7201, 54260, 59461, 1211, 1285, 18415, 4944, 29171, 2200, 1285, 657, 16932, 40096, 14303, 4, 15, 159696, 1644, 107581, 21923, 2205, 56170, 21847, 54260, 4667, 7265, 4151, 119718, 21292, 5666, 95494, 23741, 6, 238144, 29171, 6093, 4838, 122868, 63593, 54260, 23269, 2200, 4838, 1982, 34575, 129071, 4113, 4, 133190, 28415, 27702, 29659, 710, 188201, 92500, 192183, 25616, 4113, 18415, 160751, 161577, 3120, 6, 95494, 33225, 16, 9721, 54260, 16932, 4113, 2200, 86510, 123073, 160238, 3131, 109226, 95766, 10676, 22639, 10069, 119718, 181247, 67873, 2200, 6235, 39293, 1644, 95494, 23741, 28726, 12984, 98478, 4, 119055, 53414, 76961, 1470, 54260, 57619, 54260, 46545, 73215, 146079, 54196, 37729, 4151, 6, 87311, 99611, 2702, 152185, 15857, 80885, 24621, 3120, 10676, 364, 34533, 29766, 65689, 2200, 46590, 120467, 29771, 7201, 65689, 67882, 16932, 710, 21106, 78653, 2200, 56170, 7201, 39083, 88660, 36258, 37729, 4151, 64769, 61397, 56170, 12890, 16747, 17310, 4, 199145, 3056, 2205, 4838, 3373, 29771, 10918, 21106, 34533, 152185, 6235, 39293, 1644, 95494, 23741, 56170, 47351, 9424, 119718, 65689, 23173, 1982, 29060, 2200, 163139, 2702, 5666, 95494, 23741, 4, 1285, 9424, 238144, 123736, 48974, 48904, 40697, 16175, 54260, 67873, 3120, 1470, 54260, 1211, 1285, 21106, 87442, 65689, 22426, 90848, 26394, 2702, 5, 4484, 71577, 710, 21338, 382, 2648, 46646, 14856, 4944, 32829, 36326, 9356, 3111, 64213, 564, 54260, 3131, 22426, 159993, 14081, 2702, 47833, 7369, 74004, 7611, 6681, 6, 80453, 125942, 7682, 95766, 4838, 27702, 46685, 4484, 17310, 3069, 10676, 40026, 6093, 103023, 1211, 6319, 71577, 710, 21338, 57973, 20033, 4151, 2865, 62067, 4, 165592, 4151, 1285, 21106, 87442, 152185, 116486, 26394, 2702, 3120, 178766, 4151, 4484, 35596, 161829, 6, 84577, 119718, 7682, 21295, 4852, 18167, 37729, 10676, 40653, 240863, 3120, 10676, 41764, 33716, 73784, 45949, 2200, 6, 40633, 16932, 3120, 10676, 104383, 73784, 41764, 33716, 5, 144754, 221895, 119055, 6093, 16932, 152, 37729, 10676, 124724, 87442, 1211, 3069, 235210, 43178, 29659, 75230, 46053, 7746, 144754, 27702, 46464, 83182, 4113, 6235, 36326, 161829, 1211, 4, 37729, 27702, 29659, 710, 188201, 4151, 7201, 23173, 109226, 2200, 37729, 20315, 2050, 27702, 3111, 64213, 7746, 7265, 1285, 1470, 54260, 57619, 13845, 23269, 4151, 3131, 54260, 5666, 109226, 15, 18415, 30473, 2702, 16, 564, 92605, 177148, 4151, 96302, 3131, 6, 23173, 75230, 2702, 4838, 3373, 4667, 9721, 54260, 16932, 4113, 4269, 23269, 64213, 4, 7369, 6, 95494, 23741, 4838, 1982, 34575, 129071, 4113, 56170, 21106, 10069, 1285, 21106, 87442, 7682, 3120, 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 ]
[ 46590, 2200, 6235, 94741, 20260, 2678, 8903, 2865, 54260, 59461, 75230, 12483, 4, 4151, 23847, 54260, 40920, 4838, 27702, 29659, 52480, 28320, 48706, 183512, 23173, 2882, 3120, 163139, 46053, 15, 84577, 15907, 48350, 21292, 3142, 3120, 10676, 107776, 7369, 3069, 4838, 3523, 54260, 46598, 28415, 6, 48775, 10918, 239162, 67873, 185527, 3120, 1982, 48904, 34365, 1211, 95455, 1470, 54260, 179561, 23269, 2200, 27702, 46464, 83182, 4113, 4, 2200, 4151, 23847, 54260, 40920, 4838, 17288, 104238, 4113, 165284, 55823, 95766, 220224, 1211, 4151, 4484, 35596, 161829, 40653, 10676, 4, 15, 21087, 194734, 39293, 16, 1470, 5, 2808, 5, 119718, 5, 172060, 185226, 163139, 20033, 6, 159696, 67873, 4151, 7201, 23173, 6, 234221, 2205, 1470, 54260, 1211, 40653, 63751, 1211, 6, 148222, 33104, 30473, 29171, 80885, 6, 57277, 160074, 2808, 203749, 710, 13159, 4, 1470, 75230, 1982, 20033, 4269, 54260, 12483, 7243, 40653, 3120, 10676, 1982, 165592, 88917, 53414, 73784, 4838, 122868, 63593, 54260, 119132, 4, 1470, 75230, 1982, 20033, 55242, 12483, 7243, 1285, 4838, 122868, 63593, 54260, 23269, 2808, 54260, 2932, 5666, 95494, 23741, 1211, 1054, 120467, 21923, 56170, 47351, 2205, 1285, 56170, 16629, 2648, 65482, 4151, 3131, 54260, 5666, 109226, 4, 2200, 62808, 51678, 7243, 4151, 21733, 53414, 1470, 54260, 1211, 6, 170355, 4667, 37729, 10676, 56170, 21847, 54260, 12984, 22753, 6, 189098, 183512, 123073, 4, 133190, 20033, 4151, 21733, 53414, 22753, 7265, 11265, 6, 21106, 54260, 1211, 4, 292, 36324, 75230, 65146, 1211, 20033, 7201, 23173, 17160, 54260, 18406, 17824, 48350, 49008, 2205, 1285, 207013, 6, 57277, 160074, 2808, 203749, 710, 13159, 4, 1470, 75230, 1982, 20033, 51678, 219947, 40653, 2932, 54260, 12483, 3120, 10676, 4838, 122868, 63593, 54260, 119132, 3069, 10676, 27702, 46464, 83182, 1211, 4, 1470, 75230, 1982, 20033, 4484, 171428, 7243, 132025, 905, 141943, 1211, 178766, 4113, 32887, 29766, 710, 13159, 2205, 4151, 6, 80453, 129071, 7682, 2200, 20033, 80453, 119718, 2884, 3069, 4151, 21733, 53414, 4838, 122868, 63593, 54260, 23269, 4838, 1982, 34575, 92605, 42180, 2702, 4, 37729, 4838, 122868, 63593, 54260, 23269, 26612, 1982, 34575, 92605, 42180, 2702, 6, 21106, 54260, 1211, 5, 17645, 35189, 56170, 21106, 8903, 2865, 54260, 59461, 33104, 230764, 163139, 6, 238144, 2882, 22753, 235466, 4838, 68550, 4838, 9721, 54260, 16932, 61541, 2648, 3120, 160238, 81829, 2200, 42542, 132025, 8903, 159696, 16747, 29060, 119055, 53414, 3069, 4838, 17824, 13159, 6093, 6093, 17494, 29771, 13497, 131044, 3120, 4151, 3131, 54260, 5666, 109226, 2200, 6235, 36326, 161829, 1211, 4, 6428, 5, 506, 5, 230764, 163139, 84087, 22753, 68313, 28415, 40653, 226112, 67223, 23173, 4, 28415, 27702, 25603, 2932, 44779, 2200, 564, 75230, 8903, 119718, 103023, 4, 119718, 710, 178766, 4151, 4484, 35596, 161829, 40653, 1285, 1470, 54260, 57619, 13845, 23269, 4151, 3131, 54260, 5666, 109226, 4, 230764, 165592, 75230, 84087, 4, 9213, 22753, 1470, 75230, 4667, 21776, 71804, 15231, 119718, 3069, 4151, 141879, 2442, 28415, 1285, 76776, 123103, 5, 159696, 1211, 20033, 6, 101470, 7746, 95298, 132025, 159696, 16747, 1211, 1285, 4838, 1982, 34575, 92605, 42180, 3069, 4151, 79761, 87442, 6093, 6, 80453, 129071, 7682, 2200, 20033, 364, 75230, 18406, 6, 68558, 56170, 21847, 54260, 12984, 1285, 163139, 2702, 5666, 95494, 23741, 192956, 8903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39293, 64213, 7265, 1285, 3523, 54260, 4113, 4, 27702, 46464, 83182, 4113, 2200, 192183, 25616, 4113, 18415, 4151, 3131, 54260, 5666, 109226, 4, 119055, 13845, 107581, 62808, 6, 186145, 33225, 6, 68558, 4, 241662, 6235, 3111, 98833, 28415, 7243, 4151, 6235, 39293, 7611, 230764, 220224, 10339, 39083, 88660, 2050, 13342, 4151, 21733, 53414, 4, 6, 238144, 1644, 163139, 95455, 119055, 99766, 4838, 1982, 34575, 92605, 42180, 6, 21106, 54260, 1211, 6, 225975, 2882, 1751, 75230, 1211, 4, 119055, 53414, 10069, 22639, 10069, 119718, 56570, 109316, 1751, 65848, 12984, 119055, 13845, 107581, 57973, 7243, 6319, 54260, 1211, 1285, 25207, 146873, 1751, 54260, 14540, 13342, 10676, 6235, 7201, 29766, 29659, 1211, 64769, 8580, 2200, 3069, 10676, 6, 89991, 3120, 4151, 56170, 21106, 8903, 2865, 54260, 59461, 25603, 4, 132, 1982, 165592, 88917, 93497, 119055, 12483, 1285, 81444, 4852, 125897, 1751, 65848, 12984, 21923, 7243, 3496, 23173, 129071, 6093, 34533, 13456, 56170, 10069, 874, 54260, 16667, 18415, 10339, 21106, 1211, 4, 199145, 119055, 53414, 2205, 6, 64260, 4151, 4838, 1982, 34575, 129071, 6093, 56170, 21106, 8903, 2865, 54260, 59461, 17310, 27702, 506, 183512, 21295, 16, 101251, 34533, 23269, 1470, 75230, 2702, 8903, 31249, 120467, 1211, 3120, 11265, 5, 2648, 120467, 199145, 3056, 95298, 3069, 61541, 7682, 2200, 42542, 4838, 75386, 6, 47351, 1470, 75230, 2702, 76776, 24621, 7243, 2808, 54260, 5666, 8903, 31249, 120467, 1211, 119055, 53414, 2205, 1470, 54260, 1211, 4838, 1982, 34575, 129071, 6093, 56170, 21106, 8903, 2865, 54260, 59461, 17310, 4, 3056, 123736, 23741, 10069, 364, 75230, 22426, 2882, 8947, 4113, 69106, 3120, 6, 47351, 4838, 83182, 4838, 122868, 63593, 54260, 119132, 6235, 39293, 7611, 5, 4151, 1982, 165592, 905, 83182, 6093, 10339, 21106, 42542, 4151, 7201, 23173, 10339, 39083, 88660, 51723, 4151, 21733, 77188, 119055, 53414, 4, 133190, 103854, 4151, 224220, 1982, 24295, 215726, 3120, 56170, 16629, 2648, 65482, 6235, 39293, 64213, 4, 2200, 123736, 23741, 874, 39083, 4, 7369, 29659, 5666, 29766, 241662, 4, 119055, 12483, 6, 64260, 1285, 6235, 39293, 64213, 119055, 53414, 4151, 8903, 57619, 2882, 7265, 1285, 25207, 146873, 3523, 54260, 43178, 5, 874, 6, 43652, 17645, 35189, 40026, 6093, 2648, 125897, 56170, 21106, 8903, 2865, 54260, 59461, 17310, 3056, 36324, 75230, 4838, 68550, 48706, 40096, 13456, 4, 2205, 7201, 23173, 21847, 54260, 4667, 7265, 1285, 3523, 54260, 4113, 27702, 46464, 83182, 4113, 2200, 192183, 25616, 4113, 18415, 4151, 3131, 54260, 5666, 109226, 4, 7265, 159696, 1644, 107581, 20033, 57973, 3069, 160204, 4, 21776, 71804, 15231, 119718, 3069, 220224, 123073, 56170, 16629, 2648, 76776, 33716, 125897, 32054, 40697, 7201, 23173, 12890, 16747, 109226, 2200, 1470, 75230, 21066, 48350, 109226, 4, 2200, 3069, 220224, 6093, 101251, 141943, 192956, 2442, 6, 84577, 119718, 7682, 1644, 17310, 2200, 6, 192539, 17310, 4, 6428, 5, 506, 5, 2205, 56170, 21847, 54260, 4667, 7265, 4151, 124724, 87442, 6093, 6, 80453, 129071, 7682, 5, 165592, 75230, 3056, 3496, 64260, 3131, 4151, 78104, 22426, 3120, 4838, 3944, 16932, 23173, 152185, 6, 95494, 7201, 17310, 4, 199145, 6, 105235, 21295, 144754, 7746, 160238, 4838, 6319, 171127, 44478, 40697, 56170, 21106, 8903, 2865, 54260, 59461, 17310, 4, 3056, 3523, 216510, 56170, 1982, 88917, 1211, 7265, 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 ]
[ 27702, 46464, 83182, 4113, 192183, 25616, 4113, 18415, 4151, 3131, 54260, 5666, 109226, 2200, 6235, 36326, 161829, 1211, 4, 119718, 710, 1285, 163139, 2702, 5666, 95494, 23741, 192956, 56170, 21106, 8903, 2865, 54260, 59461, 17310, 4, 3056, 81444, 4667, 7243, 6235, 3111, 2932, 3069, 35189, 21733, 53414, 7265, 1285, 3496, 23173, 129071, 6093, 3131, 65848, 12984, 3120, 1470, 54260, 1211, 3944, 16932, 23173, 65689, 78104, 22426, 1285, 22426, 21087, 4944, 39083, 29771, 46677, 3120, 4838, 27702, 46464, 83182, 1211, 17190, 30750, 103023, 1211, 115374, 4, 2200, 20033, 65146, 1211, 236512, 20315, 2050, 9424, 159696, 4484, 224220, 1982, 24295, 52541, 1285, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 3120, 56170, 16629, 2648, 65482, 78104, 22426, 1211, 3120, 4838, 8300, 39083, 3944, 16932, 23173, 40697, 6, 159696, 24152, 5, 2808, 75230, 1982, 1285, 27702, 46464, 83182, 4113, 3523, 54260, 4113, 4151, 7201, 23173, 109226, 21923, 7243, 27702, 23847, 65482, 56169, 13342, 6319, 54260, 1211, 6, 168155, 10498, 39083, 1211, 46050, 3149, 4, 1470, 75230, 1982, 220224, 57973, 6, 47351, 4838, 122868, 63593, 54260, 119132, 119055, 77188, 4, 20315, 87311, 21295, 107776, 3120, 220224, 6, 23173, 75230, 2702, 4838, 3523, 54260, 6093, 6235, 39293, 7611, 4, 119055, 13845, 104238, 3056, 28415, 23173, 73136, 23269, 2865, 188301, 4, 40653, 226112, 67223, 23173, 2200, 1285, 76776, 123103, 4, 163139, 1285, 4151, 4484, 35596, 161829, 4, 159696, 1644, 107581, 20033, 57973, 6235, 119718, 710, 49008, 43449, 75230, 4852, 40653, 6, 64260, 1285, 4151, 3131, 54260, 5666, 109226, 2200, 8903, 36326, 161829, 1211, 6, 21106, 54260, 1211, 5, 2200, 36324, 75230, 6, 238144, 16932, 5, 144754, 221895, 119055, 6093, 16932, 4, 2205, 56170, 21847, 54260, 4667, 7265, 1285, 27702, 46464, 83182, 4113, 4151, 7201, 23173, 109226, 4, 7265, 4151, 32887, 39293, 4, 199145, 1285, 13497, 194706, 4838, 75386, 95455, 4838, 1982, 2702, 39083, 905, 18415, 6235, 8903, 1982, 65482, 4, 4838, 75386, 4151, 45521, 82576, 41764, 25207, 189098, 2200, 4838, 75386, 4151, 21776, 71804, 15231, 119718, 48706, 40096, 152185, 2808, 75230, 2702, 240863, 172060, 185226, 4, 3056, 1285, 4838, 1982, 34575, 129071, 4113, 56170, 21106, 8903, 2865, 54260, 59461, 17310, 4, 119055, 13845, 107581, 119055, 77188, 69355, 220224, 1470, 75230, 2702, 8903, 7916, 33716, 2200, 119055, 13845, 107581, 6, 105235, 21295, 7265, 7746, 160238, 220224, 6093, 4838, 50778, 18415, 39293, 4, 46685, 40653, 226112, 67223, 23173, 2200, 1285, 76776, 123103, 5, 92500, 21776, 71804, 15231, 119718, 20632, 10676, 4838, 122868, 63593, 54260, 119132, 8903, 39293, 7611, 4, 119055, 13845, 104238, 119055, 77188, 27702, 3111, 56169, 4838, 75386, 4151, 21776, 71804, 15231, 119718, 16803, 40096, 152185, 2200, 4838, 1982, 2702, 39083, 905, 16932, 874, 59929, 29659, 34557, 4, 7265, 159696, 1644, 12984, 20033, 6, 80453, 119718, 2884, 3069, 56170, 21847, 54260, 12984, 4, 2200, 37729, 119055, 13845, 12984, 20033, 163139, 67873, 130170, 3131, 54260, 35465, 1285, 1470, 54260, 105405, 52480, 28726, 4944, 4484, 54260, 28320, 3120, 1285, 27702, 46464, 83182, 4113, 10339, 21106, 1211, 21923, 6, 64260, 6, 148222, 54260, 179561, 23269, 4151, 3131, 54260, 5666, 109226, 4, 6428, 5, 506, 5, 1285, 15857, 194734, 39293, 4, 84475, 1285, 4838, 50778, 18415, 39293, 3120, 4151, 84577, 710, 18415, 39293, 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 ]
[ 28415, 1285, 76776, 123103, 10069, 20835, 46053, 3069, 119055, 13845, 107581, 20033, 6, 104378, 37729, 6, 238144, 16932, 2648, 125897, 4151, 7201, 23173, 109226, 119718, 53414, 241662, 4151, 3523, 54260, 6093, 4, 21776, 71804, 15231, 119718, 48706, 40096, 152185, 2200, 4838, 1982, 2702, 39083, 905, 16932, 1470, 75230, 2702, 240863, 2702, 6, 172060, 185226, 56170, 6, 238144, 16932, 2648, 125897, 56170, 21847, 54260, 4944, 109226, 5, 159696, 1211, 20033, 56170, 21847, 54260, 12984, 1470, 54260, 1211, 6, 170355, 4667, 7265, 6, 47351, 9424, 238144, 16932, 6, 170355, 4667, 4, 9747, 1285, 200795, 13342, 4151, 21733, 53414, 4, 119055, 77188, 1285, 221895, 4838, 1982, 2702, 39083, 36609, 2200, 48706, 40096, 13456, 21776, 71804, 15231, 119718, 13342, 4151, 184639, 4, 119055, 13845, 107581, 119055, 77188, 7265, 11265, 56170, 97594, 12984, 2200, 6235, 63864, 2882, 54260, 21295, 4, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 7657, 2648, 5, 506, 5, 36324, 148932, 21776, 71804, 15231, 159696, 2442, 27702, 68566, 6293, 3056, 6, 47351, 2190, 112595, 23173, 2865, 54260, 2648, 192956, 27702, 218710, 17310, 7201, 23173, 10676, 56170, 48904, 12483, 220224, 1211, 3120, 4838, 6235, 119718, 21292, 1211, 4838, 1982, 2702, 39083, 36609, 4, 95298, 4151, 4838, 1982, 2702, 39083, 36609, 165354, 27702, 8300, 54260, 4944, 13497, 119055, 53414, 4838, 75386, 36324, 13845, 104238, 4, 133190, 21776, 71804, 15231, 119718, 3069, 4151, 6, 170355, 4667, 199145, 159696, 33716, 4151, 144754, 56170, 97594, 12984, 4, 6235, 87311, 119364, 4, 84475, 4151, 13342, 3069, 8903, 22426, 59929, 2882, 5, 95766, 6, 47351, 6, 183512, 53414, 9424, 54260, 23822, 75230, 2050, 4, 84475, 67882, 16932, 17645, 114436, 46677, 27702, 10918, 17310, 4, 2200, 110856, 12666, 2205, 4151, 39293, 1644, 75578, 27702, 10918, 17310, 4, 2205, 4151, 1470, 54260, 2932, 114436, 21776, 1644, 215726, 4, 119055, 12483, 22753, 159696, 33716, 133190, 27702, 236376, 3120, 4838, 56170, 75290, 16932, 220224, 2882, 4, 6428, 5, 506, 5, 2205, 4838, 56170, 75290, 16932, 29766, 2648, 3111, 23405, 4, 84475, 3120, 6, 47351, 4838, 83182, 9424, 54260, 23822, 75230, 2050, 163139, 177243, 4, 42542, 4151, 6235, 2932, 16011, 65482, 48775, 1982, 2702, 39083, 36609, 4, 27702, 8300, 54260, 4944, 13497, 119055, 53414, 4838, 75386, 4151, 21776, 71804, 15231, 159696, 2442, 4, 292, 2200, 4151, 21776, 71804, 15231, 159696, 2442, 4838, 75386, 6, 47351, 4838, 1982, 2702, 39083, 905, 16932, 4, 27702, 68566, 6293, 5, 37271, 35189, 130170, 16629, 2648, 9424, 119718, 65689, 3373, 63383, 87442, 710, 119718, 78653, 15, 2702, 39340, 22426, 2882, 31623, 78653, 4, 3373, 29771, 7916, 175483, 2808, 5, 2808, 5, 119718, 5, 16, 2200, 1285, 21106, 87442, 7682, 4, 27702, 29659, 54260, 2882, 4, 9424, 119718, 65689, 221895, 6, 170355, 12984, 4, 2205, 10676, 4, 119718, 120467, 2205, 4151, 15, 29771, 12890, 87442, 710, 159696, 2442, 16, 1285, 21106, 87442, 7682, 3056, 4151, 130170, 16629, 2648, 9424, 119718, 65689, 20315, 2050, 21776, 71804, 15231, 119718, 1211, 2200, 4838, 1982, 2702, 39083, 905, 28320, 1470, 75230, 4667, 21776, 71804, 15231, 119718, 6, 5, 6, 5, 6, 5, 657, 75230, 2882, 4151, 123736, 12890, 87442, 710, 159696, 38054, 710, 21106, 87442, 7682, 6235, 7916, 13497, 7746, 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 ]
[ 4838, 1982, 2702, 39083, 905, 18415, 1470, 75230, 4667, 2205, 10676, 21776, 71804, 15231, 119718, 1211, 4, 657, 75230, 2882, 20315, 2050, 3373, 63383, 87442, 710, 119718, 78653, 2200, 3373, 29771, 7201, 78653, 3056, 95455, 21776, 71804, 15231, 159696, 43449, 75230, 4852, 21776, 71804, 15231, 119718, 92500, 620, 34533, 1470, 75230, 2702, 95455, 4838, 1982, 2702, 39083, 905, 18415, 155, 15, 28726, 129891, 5, 67882, 16932, 710, 21106, 78653, 2200, 37922, 22426, 9221, 218241, 166198, 31623, 78653, 194, 4944, 10069, 178766, 4151, 4484, 35596, 161829, 170479, 7746, 7243, 29434, 54260, 12483, 2205, 6319, 54260, 1211, 30109, 54260, 4852, 4, 5666, 29766, 22753, 170479, 7746, 6, 84577, 119718, 7682, 1644, 12483, 2205, 4838, 6, 150349, 9221, 21106, 6093, 160238, 2050, 4, 65146, 177274, 4838, 1982, 34575, 92605, 42180, 4838, 75386, 36324, 13845, 107581, 6428, 5, 506, 5, 4838, 75386, 4838, 163139, 2702, 5666, 95494, 23741, 192956, 3523, 75230, 2882, 119718, 188301, 54260, 2882, 7243, 133190, 10705, 194734, 93509, 23822, 54260, 12984, 1285, 1470, 54260, 2932, 65482, 27702, 23847, 76632, 56169, 4484, 54260, 2882, 4, 236512, 119055, 13845, 104238, 22753, 3056, 25207, 71804, 15231, 119718, 48706, 40096, 13456, 4, 133190, 22753, 65146, 4838, 75386, 4838, 21776, 71804, 15231, 119718, 4269, 54260, 175483, 4113, 192183, 16803, 55049, 42180, 10705, 54561, 43649, 75230, 46053, 3069, 4151, 4484, 171428, 1470, 75230, 4667, 1285, 221895, 56170, 12890, 16747, 109226, 2200, 1470, 75230, 21066, 48350, 109226, 166879, 11265, 4, 2205, 119055, 13845, 107581, 1285, 123736, 12890, 87442, 1211, 199145, 22753, 27702, 506, 183512, 13845, 2882, 364, 53414, 219947, 230764, 3069, 6, 101470, 6319, 54260, 1211, 132025, 2882, 54260, 1644, 4, 163139, 1470, 75230, 4667, 132025, 2648, 54260, 28320, 230764, 11265, 22639, 79761, 87442, 6093, 7201, 23173, 12890, 16747, 17310, 7265, 1285, 221895, 56170, 12890, 16747, 109226, 2200, 1470, 75230, 21066, 48350, 109226, 2205, 10676, 22426, 90848, 26394, 2702, 3120, 27702, 159696, 2932, 17310, 2200, 6, 192539, 17310, 5, 35189, 207013, 2442, 41764, 12415, 112690, 22426, 3056, 1470, 75230, 4667, 1470, 54260, 5666, 8903, 31249, 120467, 1211, 2205, 10676, 4269, 54260, 16803, 3120, 17645, 35189, 27702, 119718, 71616, 30473, 29171, 6093, 6, 80453, 129071, 7682, 5, 2648, 120467, 14856, 4944, 48904, 40697, 27702, 3111, 64213, 3056, 39083, 9221, 18415, 564, 54260, 3131, 22426, 159993, 4838, 75386, 6, 47351, 7369, 170355, 7611, 56170, 80453, 129071, 40697, 27702, 238144, 56880, 3056, 4151, 7201, 23173, 48706, 40096, 13456, 4, 21776, 71804, 15231, 119718, 3069, 4151, 21776, 21106, 6093, 80453, 129071, 7682, 4, 163139, 8947, 3056, 21776, 71804, 15231, 119718, 3069, 1285, 4838, 1982, 34575, 129071, 4113, 56170, 21106, 8903, 2865, 54260, 59461, 109226, 5, 1982, 54260, 3131, 22426, 159993, 199145, 119055, 53414, 27702, 3111, 56169, 230764, 3069, 4151, 21733, 53414, 4838, 32887, 29766, 17645, 51678, 219947, 7369, 39293, 64213, 10676, 6, 136775, 29659, 34557, 3120, 4151, 6, 80453, 129071, 7682, 4, 6, 238144, 1644, 7369, 29659, 16667, 42542, 5666, 29766, 4838, 17824, 75230, 36419, 9424, 39083, 3120, 6, 80453, 129071, 40697, 4151, 7201, 23173, 109226, 4, 199145, 57973, 6, 47351, 4838, 122868, 63593, 54260, 119132, 119055, 77188, 40653, 8903, 1211, 2200, 56170, 119718, 183512, 21295, 119055, 53414, 2205, 4151, 3523, 54260, 6093, 4484 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119718, 21106, 131044, 3120, 4838, 163139, 2702, 5666, 95494, 23741, 192956, 2442, 56170, 21106, 8903, 2865, 54260, 59461, 17310, 2200, 9424, 238144, 2882, 16667, 5666, 5, 874, 15857, 2648, 29771, 1019, 238144, 1644, 4151, 564, 54260, 3131, 22426, 15350, 3056, 1751, 75230, 1211, 3056, 39083, 54196, 3120, 220224, 23269, 21776, 21106, 4113, 192183, 25616, 13159, 73381, 23173, 12890, 16747, 23964, 49008, 2200, 6, 105235, 21295, 1751, 75230, 1211, 6, 21106, 54260, 1211, 7265, 7746, 160238, 2205, 56170, 21847, 54260, 4667, 7265, 10069, 163139, 24152, 192956, 192183, 25616, 4113, 18415, 4151, 3131, 54260, 5666, 109226, 2200, 6235, 36326, 161829, 1211, 4838, 10498, 39083, 4113, 2200, 35189, 7201, 23173, 6, 57277, 39340, 7243, 40653, 226112, 67223, 23173, 4113, 2200, 48706, 40096, 40697, 4838, 1982, 34575, 92605, 42180, 5, 14004, 112690, 20315, 198093, 4, 5332, 22426, 15533, 142429, 1211, 4, 166464, 229340, 67882, 16932, 137218, 67873, 2200, 56170, 16629, 2648, 65482, 221895, 160238, 51723, 3120, 564, 54260, 3131, 22426, 159993, 4, 119055, 13845, 107581, 57973, 7243, 6319, 54260, 1211, 4838, 122868, 63593, 54260, 119132, 159696, 33716, 4, 2200, 1285, 49008, 4838, 75386, 6, 80453, 129071, 40697, 170315, 34575, 215726, 2702, 2205, 1285, 6, 23173, 26217, 96302, 1211, 69355, 56170, 16629, 2648, 65482, 37922, 22426, 9221, 123329, 4, 6235, 119718, 710, 36419, 6, 87311, 35189, 23269, 41764, 21087, 4944, 29771, 203749, 1211, 2200, 2205, 10676, 22426, 36419, 10705, 2648, 69803, 16932, 23173, 65689, 4, 73095, 9719, 4944, 90848, 7511, 88660, 203749, 65689, 6681, 25207, 25222, 34575, 52541, 119055, 77188, 7972, 39293, 1470, 54260, 179561, 506, 54260, 28320, 3120, 1285, 28726, 57277, 198093, 199145, 6, 80453, 29060, 141943, 52541, 36324, 220224, 27702, 30473, 64213, 37729, 64260, 10676, 67882, 16932, 710, 21106, 10676, 46050, 16932, 49792, 3120, 4151, 6, 80453, 129071, 7682, 16, 1285, 49008, 2205, 6, 47351, 137127, 43449, 75230, 4852, 3069, 56170, 128540, 95455, 45521, 67873, 3120, 6, 203749, 7682, 5, 2702, 26, 68313, 28415, 4484, 159696, 2442, 103023, 199145, 2205, 1285, 564, 88680, 3120, 874, 23173, 13805, 2200, 64769, 8903, 75386, 4, 95766, 119055, 13845, 107581, 1285, 1470, 54260, 5927, 54260, 2882, 3120, 32887, 29766, 17645, 2200, 6, 80453, 129071, 7682, 3056, 6, 84577, 2648, 87442, 6235, 119718, 29766, 1211, 4, 2200, 119055, 13845, 107581, 56170, 75290, 149364, 1211, 1285, 364, 23173, 87311, 5666, 40697, 27702, 10918, 17310, 9424, 119718, 65689, 6, 64260, 10069, 3069, 54260, 123736, 48974, 48904, 40697, 16175, 54260, 67873, 3120, 4151, 4484, 35596, 161829, 21923, 1285, 160238, 30473, 40920, 116367, 36419, 23173, 26217, 96302, 1211, 4, 84475, 107020, 119859, 57619, 1211, 7243, 27702, 21847, 54260, 2882, 3120, 6319, 54260, 1211, 564, 54260, 3131, 22426, 159993, 4, 84475, 4852, 54260, 119055, 53414, 170315, 34575, 54196, 7265, 4838, 9424, 39083, 3120, 88771, 19302, 59929, 40697, 4, 3496, 23173, 129071, 6093, 34533, 40697, 92500, 226467, 40697, 564, 54260, 3131, 22426, 159993, 7265, 75322, 39083, 2819, 2200, 44064, 7265, 1285, 81444, 4852, 125897, 80453, 29060, 141943, 52541, 6319, 54260, 5666, 2865, 39083, 7243, 6, 64260, 1285, 9424, 238144, 84087, 120467, 29771, 33225, 2200, 115222, 2865, 59919, 120202, 13342, 104378, 6319, 54260, 1211, 6, 80453, 129071, 40697, 27702, 14303, 121740, 5, 10069, 6, 80453, 129071, 40697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27702, 39293, 3120, 10676, 874, 23173, 13805, 78653, 27702, 29659, 54260, 2882, 2205, 1285, 4151, 7201, 23173, 109226, 199145, 21923, 6235, 119718, 75230, 12483, 6235, 119718, 29766, 1211, 37729, 10676, 27702, 29771, 1982, 26612, 40920, 1211, 4, 2200, 37729, 20315, 2050, 124724, 87442, 1211, 6, 62067, 54260, 1644, 6, 101470, 4, 2205, 10676, 6319, 75322, 6293, 3120, 10676, 116486, 28726, 57277, 12415, 40096, 4, 92500, 2205, 4151, 207013, 2442, 9424, 54260, 2882, 4, 37729, 10676, 86510, 1211, 165284, 79761, 1211, 1285, 74806, 710, 4944, 18415, 3120, 183512, 123073, 130170, 13982, 710, 146873, 19302, 59929, 1211, 2200, 22753, 123073, 6319, 75322, 33225, 37729, 1285, 56170, 240863, 65482, 710, 29766, 73418, 83182, 16932, 4, 6, 172060, 185226, 163139, 230764, 10676, 160238, 81829, 1285, 6, 84577, 119718, 7682, 1644, 17310, 3120, 1285, 7201, 23173, 16629, 2648, 65482, 3373, 29771, 10918, 21106, 4113, 2200, 5332, 88660, 113889, 2865, 40697, 6235, 36326, 161829, 1211, 2200, 4151, 3131, 54260, 74774, 12483, 92500, 3120, 4151, 56170, 12890, 16747, 17310, 50847, 2702, 3056, 56170, 47351, 9424, 119718, 65689, 220224, 2200, 1285, 1470, 88945, 29771, 203749, 710, 13159, 69355, 148932, 6, 84577, 3131, 80453, 4113, 4944, 213952, 6093, 5332, 204403, 107581, 5, 2648, 120467, 4151, 4484, 171428, 1285, 6, 80453, 129071, 7682, 3056, 36324, 75230, 4838, 68550, 2205, 4151, 874, 23173, 13805, 34533, 152185, 18415, 29766, 17645, 657, 13060, 46352, 506, 123736, 48974, 48904, 15533, 54196, 6235, 119718, 29766, 1211, 230764, 4838, 1285, 76776, 123103, 1211, 185527, 4, 7265, 4838, 15231, 59919, 32887, 29766, 29060, 152185, 564, 21106, 75230, 40920, 17310, 4, 6428, 5, 506, 5, 36324, 22753, 3056, 27702, 236376, 6235, 905, 29766, 1211, 95766, 10676, 3944, 40920, 3120, 1285, 10339, 54260, 6093, 2648, 125897, 4151, 7201, 23173, 109226, 199145, 21923, 4151, 905, 29766, 18406, 8903, 119718, 29766, 1211, 37729, 4151, 6, 80453, 129071, 7682, 3120, 4231, 29766, 73418, 83182, 16932, 5, 92500, 133190, 230764, 215031, 6, 56052, 27702, 119718, 71616, 30473, 29171, 6093, 32054, 129071, 7682, 364, 120467, 6235, 88660, 13497, 2808, 75230, 7201, 190135, 119055, 53414, 1285, 15857, 80885, 24621, 3120, 10676, 364, 34533, 29766, 65689, 2200, 84087, 120467, 29771, 7201, 65689, 101296, 16932, 137218, 18273, 5, 8300, 238144, 16932, 16175, 54260, 63849, 71577, 710, 21338, 483, 8903, 46590, 2200, 6235, 2648, 167622, 95766, 220224, 6093, 1751, 54260, 14540, 3069, 4151, 97483, 2882, 2648, 120467, 6235, 46590, 2200, 4151, 6235, 94741, 20260, 4, 1285, 9424, 238144, 17824, 106559, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 3120, 10676, 96302, 3131, 28726, 12984, 6, 159696, 56880, 4, 21923, 36324, 75230, 56170, 84316, 22426, 21295, 6235, 119718, 29766, 1211, 2205, 10676, 115556, 16667, 7201, 29766, 105235, 1644, 17310, 37729, 2376, 6093, 1644, 54260, 23050, 22426, 50853, 125897, 54745, 7916, 7511, 42180, 2702, 4, 36324, 874, 26, 4484, 177148, 1470, 75230, 2702, 168155, 1751, 159696, 2442, 15, 39293, 21295, 1211, 41764, 62763, 54196, 220273, 183586, 89930, 16, 6, 23173, 137377, 72631, 54260, 46053, 3120, 220224, 1285, 7201, 21106, 36326, 620, 54260, 93497, 2200, 220224, 3069, 27702, 236376, 1211, 2205, 10676, 6, 120749, 133671, 2200, 17824, 183512, 17645, 56880, 22426, 90848, 26394, 2702, 3120, 220224, 6093, 119055, 53414, 5, 10069, 7369, 2932, 80885 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101251, 1982, 26612, 506, 39083, 197253, 54260, 2882, 2205, 10676, 160238, 81829, 95455, 6235, 46590, 2200, 20315, 2050, 6235, 94741, 20260, 107776, 3120, 10676, 48706, 40096, 65689, 58573, 142429, 4, 37729, 119055, 13845, 12984, 18225, 7201, 23173, 98055, 2882, 1285, 56170, 12890, 16747, 17310, 3120, 10676, 6235, 46590, 7265, 10676, 6235, 94741, 20260, 2200, 37729, 159696, 1644, 12984, 18225, 27702, 236376, 220224, 4838, 75386, 27702, 46464, 83182, 4113, 4, 56170, 97594, 159696, 2442, 18415, 2200, 3056, 39083, 54196, 16870, 6093, 3131, 54260, 5666, 109226, 7265, 115222, 2932, 23405, 48350, 21660, 18415, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 5, 35189, 1982, 54260, 22518, 54260, 47332, 18225, 3069, 10676, 6235, 46590, 1285, 5332, 22426, 131044, 1211, 3120, 10339, 54260, 20260, 54260, 2882, 4, 8300, 23173, 158652, 24295, 4, 119055, 23173, 141564, 54260, 2882, 4, 24377, 26612, 4944, 16580, 2882, 152, 2200, 10676, 6235, 94741, 20260, 6, 94741, 39340, 15388, 71180, 47332, 51723, 3069, 16175, 55049, 20260, 54260, 2882, 4, 6319, 186955, 4484, 54260, 2882, 4, 43649, 23173, 178674, 54260, 2882, 2200, 364, 23173, 158652, 54260, 2882, 5, 64260, 36324, 75230, 119055, 53414, 220224, 6235, 105235, 2865, 22426, 21295, 4838, 75386, 9424, 238144, 6, 84577, 26612, 2932, 171433, 34533, 40697, 90709, 850, 144754, 56170, 16629, 2648, 65482, 120202, 29659, 75322, 109226, 5, 20315, 2050, 6, 172060, 185226, 3120, 52059, 117397, 215726, 37826, 1285, 81444, 4852, 125897, 132025, 3131, 75230, 2808, 17310, 4151, 23847, 54260, 40920, 95766, 4151, 6, 90848, 2865, 84577, 152185, 5332, 204403, 107581, 4, 2205, 119055, 13845, 104238, 1285, 19302, 59929, 40697, 90848, 2865, 84577, 40697, 21087, 2865, 1982, 39083, 1211, 152, 9181, 10918, 59919, 4, 14856, 131445, 97634, 21066, 2200, 4151, 54745, 87311, 1211, 4, 57973, 56170, 75290, 149364, 2882, 20315, 2050, 6235, 94741, 20260, 2200, 4151, 144754, 6235, 95494, 33225, 6, 159696, 15388, 70845, 1285, 160238, 105235, 1644, 17310, 163139, 6, 159696, 15388, 4113, 22426, 13159, 199145, 3056, 17824, 75230, 2702, 95298, 620, 91595, 152, 4838, 68550, 10676, 6235, 46590, 163139, 35189, 3056, 8903, 95494, 33225, 6235, 119718, 29766, 1211, 6, 47351, 123736, 25207, 39083, 3120, 64648, 38461, 103023, 54260, 2882, 2200, 72577, 95564, 54260, 2882, 4, 95298, 69355, 5332, 22426, 13159, 199145, 3056, 19302, 54260, 1211, 2200, 1751, 119718, 26612, 4667, 5, 6, 59929, 29771, 10918, 2808, 54196, 2200, 56170, 97594, 12984, 37826, 51723, 95455, 6235, 46590, 7265, 4838, 6, 238144, 101608, 16175, 75230, 1982, 4, 7265, 4838, 7508, 54260, 119132, 41545, 4667, 1470, 5, 2808, 5, 119718, 5, 1982, 15533, 230764, 10676, 364, 54260, 50778, 38249, 166464, 21923, 6, 64260, 1285, 192183, 26394, 22426, 42180, 2702, 125523, 6, 21106, 7611, 7201, 23173, 90536, 18406, 1285, 49920, 3131, 213952, 4113, 15, 2648, 120467, 65146, 54803, 27702, 8300, 54260, 4944, 13497, 119055, 53414, 4838, 75386, 6, 47351, 5, 5, 874, 5, 15857, 2648, 29771, 304, 40096, 26612, 119718, 78653, 4, 199145, 5332, 65442, 34533, 54196, 2205, 178766, 4113, 192183, 26394, 22426, 42180, 2702, 4, 6, 172060, 185226, 163139, 2205, 10705, 54561, 123073, 6235, 46590, 1211, 194, 4944, 10069, 1470, 75230, 2702, 13342, 80453, 119718, 2884, 230764, 163139, 6, 238144, 2882, 6, 64260, 1285, 27702, 506, 75230, 23741, 109226, 21923, 10339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21106, 83957, 2884, 9747, 7746, 1470, 54260, 57619, 54260, 46545, 3069, 4151, 5666, 216510, 1211, 3069, 4151, 6, 120749, 123329, 4151, 4484, 35596, 161829, 2808, 88680, 10676, 115556, 28726, 12984, 84087, 1211, 2200, 6428, 135118, 12483, 4, 6428, 23173, 33225, 20033, 7746, 56170, 76961, 51723, 13342, 98055, 1211, 3069, 10676, 115556, 16667, 6, 84577, 119718, 7682, 1644, 17310, 4, 132025, 8903, 506, 75230, 18406, 3120, 10676, 6, 80453, 52480, 111179, 119718, 1982, 15533, 10676, 52059, 29631, 115556, 4, 2200, 8248, 12984, 1285, 34482, 17494, 21106, 1211, 3120, 10676, 6235, 46590, 2200, 8903, 94741, 20260, 4, 4151, 1982, 54260, 7746, 564, 165592, 52541, 230764, 88771, 1211, 4, 119055, 13845, 107581, 21923, 1470, 75230, 2702, 8903, 7201, 29766, 29659, 92500, 4838, 122868, 63593, 54260, 1211, 132025, 59461, 4484, 35596, 6235, 119718, 29766, 1211, 4, 7265, 221895, 119055, 6093, 16932, 4, 7746, 67826, 64213, 2808, 75230, 6293, 163139, 2702, 5666, 95494, 23741, 192956, 148707, 149364, 710, 96302, 1211, 2200, 230764, 10676, 4151, 7201, 23173, 65482, 2050, 8903, 46464, 198093, 56170, 29659, 183512, 137, 101328, 51723, 3373, 172398, 155, 15, 10069, 27702, 39293, 3120, 178766, 4269, 48904, 89930, 50931, 29631, 2200, 163139, 2702, 5666, 95494, 23741, 4, 3056, 4151, 203013, 6093, 56170, 29659, 183512, 5, 2205, 10676, 22426, 90848, 26394, 2702, 3120, 6, 84577, 119718, 7682, 1644, 17310, 4151, 23847, 54260, 40920, 95298, 178766, 163139, 46053, 215031, 1751, 41643, 55823, 4, 119718, 905, 8947, 6, 105235, 21295, 7265, 7746, 160238, 6, 47351, 4838, 50778, 18415, 39293, 3069, 10676, 58571, 8300, 30473, 40920, 133671, 2200, 2808, 75230, 75578, 21066, 4113, 10813, 4113, 12984, 203013, 1211, 56170, 29659, 183512, 5, 119055, 12483, 1285, 81444, 4852, 125897, 4838, 50778, 18415, 39293, 119055, 6093, 97634, 75578, 6, 21106, 7611, 7508, 54260, 59919, 2200, 107776, 3069, 11265, 52059, 117397, 215726, 6, 172060, 185226, 4, 364, 75230, 47332, 22753, 6, 68558, 59929, 710, 123559, 33716, 3069, 119055, 53414, 4, 1470, 75230, 1982, 7243, 37729, 4151, 67882, 36419, 3120, 4151, 4269, 59929, 4, 1470, 75230, 4667, 2648, 120467, 42542, 16175, 54260, 1644, 238144, 4852, 74806, 12483, 4, 3056, 37729, 4151, 137, 14004, 194734, 186461, 216510, 67882, 36419, 2004, 230764, 159696, 1644, 104238, 1285, 657, 54260, 12483, 4, 1285, 116486, 7201, 48904, 12483, 56170, 212484, 1211, 7746, 2200, 119055, 13845, 107581, 6, 95494, 23741, 95455, 20315, 2050, 46050, 16932, 49792, 3120, 10676, 203013, 1211, 56170, 29659, 183512, 5, 36324, 75230, 4838, 68550, 3056, 4151, 8903, 4852, 33104, 16932, 56170, 29659, 183512, 3373, 54260, 4151, 1470, 75230, 2702, 119859, 148346, 6, 172060, 185226, 2200, 3373, 54260, 4151, 52059, 9719, 76776, 26394, 172060, 185226, 3120, 163139, 46053, 2819, 2200, 3496, 64260, 36326, 7369, 6235, 3111, 98833, 7243, 4838, 75386, 6319, 54260, 1211, 4838, 1982, 2702, 39083, 905, 16932, 2865, 59929, 3131, 57277, 1982, 56170, 4151, 163139, 2702, 5666, 95494, 23741, 4, 3056, 7369, 95298, 43649, 188301, 56170, 11265, 47351, 2190, 112595, 23173, 2865, 54260, 2648, 44779, 364, 15350, 17748, 174538, 194, 10069, 564, 101328, 203749, 17645, 4, 6, 208048, 97634, 192494, 2200, 52059, 29631, 74806, 710, 4944, 18415, 6, 159696, 67873, 194706, 6, 162642, 7682, 7201, 23173, 108209, 64213, 10676, 6, 159696, 2932, 4, 220224, 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 ]
[ 159696, 67873, 194706, 3069, 226112, 15388, 6, 150271, 116367, 4, 3373, 26, 17160, 54260, 47332, 133190, 13342, 220224, 1211, 6, 203749, 13456, 2200, 6235, 119718, 21292, 5927, 26612, 23741, 7682, 3069, 27702, 506, 183512, 1644, 12483, 6, 17645, 119132, 67882, 16932, 710, 21106, 4, 159696, 1644, 104238, 3056, 7243, 6235, 119718, 77363, 26612, 23741, 7682, 6, 189098, 13458, 75230, 40377, 6235, 119718, 29766, 1211, 40653, 56170, 16629, 2648, 65482, 2702, 47912, 4, 364, 75230, 22426, 2882, 39293, 4944, 44779, 95298, 4151, 7201, 23173, 199145, 1285, 4269, 54260, 175483, 4113, 159696, 33716, 1211, 3120, 1285, 40026, 6093, 2648, 125897, 9424, 54260, 28320, 57973, 6235, 101296, 40920, 101251, 24621, 2932, 44779, 13342, 27702, 506, 183512, 1644, 12483, 4151, 3131, 54260, 5666, 109226, 230764, 215031, 163139, 2702, 5666, 95494, 23741, 28726, 12984, 185527, 15, 64260, 6, 158548, 54260, 175483, 4113, 119055, 77188, 1211, 21923, 3120, 220224, 6093, 220224, 2882, 56170, 63864, 170355, 40920, 6235, 905, 23173, 1211, 37729, 1285, 4113, 88660, 113889, 2865, 40697, 2200, 117902, 69181, 40697, 101251, 105235, 16747, 1211, 194, 95766, 3944, 40920, 3120, 4151, 16175, 75230, 4852, 50778, 29766, 123329, 163139, 2702, 5666, 95494, 23741, 2200, 4151, 84087, 120467, 29771, 7916, 86733, 3373, 109636, 50931, 215726, 3120, 10676, 203013, 1211, 56170, 29659, 183512, 4, 3056, 4, 4838, 133880, 2205, 20315, 2050, 224252, 710, 185226, 4, 2205, 7369, 2932, 45631, 7243, 29771, 6319, 54260, 1211, 69529, 132025, 2648, 54260, 2882, 17310, 230764, 5332, 22426, 13159, 47351, 1470, 54260, 2932, 5666, 95494, 23741, 4, 3120, 119055, 13845, 104238, 95455, 6235, 46590, 4, 84475, 4151, 6235, 94741, 20260, 37826, 7746, 8903, 88660, 13497, 6, 84577, 119718, 7682, 1644, 12483, 5, 4838, 75386, 1285, 121193, 120467, 109636, 3120, 564, 54260, 20315, 6658, 4151, 7201, 23173, 132025, 8903, 2882, 51723, 10069, 1285, 21106, 37016, 150541, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 8934, 905, 53414, 4, 1470, 54260, 57619, 7682, 2200, 6, 21106, 54260, 1211, 4, 4151, 224252, 710, 185226, 4, 119055, 13845, 104238, 3056, 3120, 220224, 1211, 220224, 57277, 46711, 76632, 2442, 16932, 21776, 21066, 4113, 13805, 4, 6428, 5, 506, 5, 4838, 56170, 29659, 23173, 146873, 21776, 92605, 42180, 230764, 1285, 63593, 22426, 7916, 16747, 109226, 3120, 657, 71616, 2200, 2190, 17017, 71616, 5, 10069, 657, 71616, 119055, 77188, 1470, 75230, 7201, 139449, 117902, 30473, 15231, 119718, 4, 1285, 2190, 17017, 71616, 23050, 119859, 15231, 119718, 132, 10705, 13497, 6093, 10676, 27702, 68566, 6293, 657, 71616, 56170, 29659, 54260, 12483, 20033, 1285, 56170, 16629, 2648, 16667, 18415, 165284, 33225, 92500, 3373, 99766, 1211, 3120, 37922, 22426, 105780, 29257, 96986, 4, 230764, 119055, 13845, 107581, 20033, 21776, 26612, 2932, 52541, 230764, 4838, 204403, 30473, 15231, 119718, 1211, 185527, 152, 7265, 10676, 6, 16932, 56052, 2190, 17017, 71616, 4, 163139, 35189, 4, 27702, 8300, 54260, 4944, 171428, 20033, 10069, 76961, 37922, 22426, 7916, 16747, 109226, 4, 49027, 107581, 6, 225164, 564, 54260, 194706, 6, 23173, 75230, 2702, 4838, 23050, 119859, 15231, 159696, 25207, 92605, 42180, 194, 2808, 75230, 6293, 163139, 46590, 1285, 23050, 119859, 15231, 159696, 21776, 92605, 42180, 196991, 2190, 17017, 71616, 3056, 43649, 23173, 75290, 92500, 230764, 163139, 46590, 3373, 26, 68313, 17824, 13159 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1285, 117902, 30473, 15231, 159696, 2200, 6, 129071, 710, 159696, 1751, 186145, 1982, 17310, 13342, 657, 71616, 4, 230764, 36324, 75230, 84087, 3056, 123736, 48974, 48904, 15533, 9221, 16932, 2200, 10339, 39083, 88660, 2865, 59461, 95455, 17190, 1982, 16870, 125897, 6, 159696, 56880, 4, 6, 238144, 1644, 230764, 36324, 75230, 84087, 119055, 29060, 8947, 7746, 6, 21106, 7611, 28415, 119055, 20616, 61621, 3120, 10705, 13497, 6093, 240863, 4, 7265, 119055, 13845, 12984, 3373, 26, 68313, 56170, 1982, 88917, 1211, 4838, 2190, 112595, 23173, 2865, 54260, 2648, 192956, 2190, 17017, 71616, 63593, 22426, 7916, 16747, 17310, 4, 2200, 230764, 36324, 75230, 84087, 119055, 29060, 8947, 6, 21106, 7611, 28415, 564, 23173, 54260, 104238, 1211, 220224, 23269, 28726, 1982, 16667, 160238, 51723, 4, 9747, 3069, 6235, 99611, 1211, 199145, 28415, 657, 71616, 4, 230764, 36324, 75230, 84087, 37826, 13159, 1470, 75230, 4667, 4838, 17824, 13159, 123073, 3069, 17494, 217814, 5, 10069, 37922, 22426, 7916, 16747, 109226, 3120, 657, 71616, 2200, 2190, 17017, 71616, 4, 119055, 13845, 4944, 48350, 171428, 6, 172060, 185226, 163139, 76961, 221895, 4151, 3131, 54260, 5666, 109226, 230764, 4151, 6, 159696, 21295, 4, 1285, 7201, 39083, 15388, 3120, 123736, 12890, 87442, 710, 159696, 67882, 16932, 710, 109316, 3373, 47912, 4, 27702, 29659, 710, 51723, 3120, 220224, 6093, 220224, 2882, 10705, 54561, 123073, 1751, 186145, 1982, 109226, 4, 178766, 4113, 21422, 67873, 2200, 132025, 29659, 25207, 1982, 109226, 3069, 4151, 23847, 54260, 12984, 95455, 199145, 3373, 26, 68313, 3523, 34365, 44779, 56170, 194706, 5, 1285, 39293, 1644, 30750, 37922, 22426, 7916, 16747, 109226, 4, 119055, 13845, 107581, 21923, 1285, 10339, 39083, 15388, 3120, 94626, 6093, 2648, 125897, 3373, 47912, 4, 119055, 53414, 36324, 75230, 4838, 68550, 1285, 3373, 47912, 3120, 6, 238144, 16932, 2648, 125897, 10339, 39083, 15388, 5, 119718, 710, 35189, 4, 1285, 1751, 186145, 1982, 109226, 56170, 657, 71616, 2200, 196991, 2190, 17017, 71616, 4, 159696, 1644, 107581, 21923, 1285, 21776, 92605, 42180, 230764, 1285, 10184, 4852, 40697, 37922, 22426, 7916, 16747, 109226, 3120, 657, 71616, 2200, 2190, 17017, 71616, 4, 292, 15, 69355, 220224, 6093, 220224, 2882, 4, 163139, 1751, 75230, 1211, 8903, 225975, 2882, 4, 4151, 6, 172060, 13845, 76963, 4, 1285, 10339, 39083, 8903, 3120, 4838, 224220, 22426, 7972, 138194, 16932, 224220, 1982, 24295, 215726, 92500, 6, 84577, 119718, 7682, 1644, 17310, 3120, 67882, 16932, 17645, 16, 292, 21923, 4, 230764, 215031, 185527, 4, 1285, 10339, 39083, 8903, 1211, 69355, 10339, 54260, 6093, 2648, 125897, 10339, 39083, 8903, 1211, 5, 163139, 148932, 10339, 39083, 8903, 4, 119055, 6093, 12483, 220224, 1470, 75230, 4667, 4838, 157175, 95766, 10676, 1285, 21106, 87442, 65689, 116486, 26394, 2702, 3120, 6, 84577, 119718, 7682, 1644, 17310, 2200, 6, 95494, 7201, 213952, 178766, 21660, 159993, 4, 43649, 75230, 2702, 12483, 220224, 194706, 2205, 4151, 207013, 2442, 9424, 54260, 2882, 2205, 4838, 27702, 29659, 52480, 16932, 120749, 17310, 4, 3069, 27702, 29659, 710, 188201, 6, 57277, 28320, 5, 3373, 26, 68313, 4151, 7201, 23173, 6235, 3111, 2932, 43449, 75230, 4852, 58571, 8300, 30473, 4944, 46545, 13342, 3056, 39083, 52541, 6, 64260, 1285, 1751, 186145, 1982, 109226, 3120, 10676, 4269, 48904, 64213, 22426, 90848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26394, 2702, 4, 18225, 65146, 220224, 4151, 1982, 54260, 44064, 107020, 119859, 57619, 1211, 7243, 56170, 61541, 81829, 4838, 75386, 165592, 13845, 107581, 4, 36324, 220224, 170479, 1211, 51678, 7243, 6, 120749, 7682, 4151, 21733, 77188, 119055, 53414, 2200, 7746, 7201, 23173, 119718, 183512, 1644, 12483, 2205, 1285, 37640, 16747, 26612, 96302, 1211, 3120, 4838, 6, 133574, 15231, 69181, 23173, 34533, 152185, 2200, 2702, 109316, 29771, 203749, 152185, 32887, 29766, 17645, 5, 15, 35189, 41764, 25207, 189098, 3120, 1285, 6, 160074, 69336, 57277, 12415, 119364, 2200, 12338, 5666, 5, 874, 5, 15857, 2648, 40096, 109316, 29771, 203749, 1211, 4, 36324, 76961, 2702, 17190, 47332, 2200, 6, 84577, 119718, 7682, 21295, 7746, 133190, 236512, 2200, 4838, 6, 94741, 20260, 10069, 199184, 199145, 3373, 26, 13458, 141847, 2882, 4, 6428, 5, 506, 5, 36324, 95455, 3523, 34365, 192956, 119055, 77188, 56170, 3131, 57277, 49008, 4838, 75386, 10069, 364, 75230, 22426, 2882, 157175, 2200, 7243, 4838, 75386, 6319, 54260, 1211, 10339, 39083, 8903, 4, 16175, 54260, 2882, 6, 68558, 230764, 6, 47351, 4838, 1982, 2702, 89828, 152185, 88660, 5666, 26394, 22426, 42180, 6, 159696, 15388, 4151, 161048, 30473, 80885, 69106, 3120, 4838, 137, 8903, 2882, 192956, 2442, 6319, 48775, 23741, 155, 2205, 35189, 123736, 12890, 87442, 710, 159696, 2442, 6, 76776, 29631, 4, 119055, 13845, 107581, 37826, 10676, 6, 89991, 2200, 32887, 152848, 69106, 3069, 193178, 165592, 13845, 107581, 137, 21733, 905, 8903, 155, 160238, 75230, 2702, 1982, 26612, 29659, 52480, 109226, 194, 120202, 13342, 1644, 54260, 4484, 171428, 4, 163139, 95455, 188485, 8903, 119718, 710, 36419, 41764, 36419, 119718, 2648, 29771, 874, 23173, 140229, 119364, 4, 95455, 56170, 48904, 12483, 220224, 1211, 3120, 1285, 1751, 186145, 1982, 109226, 7201, 23173, 657, 71616, 2200, 196991, 2190, 17017, 71616, 2200, 1285, 7508, 39083, 199145, 220224, 46440, 1211, 4838, 75386, 1285, 23822, 54260, 106504, 48775, 23741, 2205, 76961, 178766, 4113, 6, 57277, 28320, 4, 2200, 4151, 7201, 23173, 1470, 75230, 4667, 2205, 178766, 7916, 4852, 152185, 2200, 4269, 54260, 175483, 6093, 6, 84577, 119718, 7682, 1644, 17310, 4, 43449, 75230, 4852, 4151, 7201, 23173, 199145, 6, 150349, 172398, 6093, 92500, 221895, 6235, 44478, 194734, 2200, 10184, 212484, 29771, 33225, 57973, 220224, 4151, 21733, 77188, 230764, 6, 40096, 109316, 29771, 203749, 65689, 185527, 4, 119055, 39083, 2882, 6235, 506, 54260, 46053, 6, 23173, 75230, 2702, 25222, 46053, 95455, 192544, 7265, 4151, 564, 142429, 5, 10705, 54561, 123073, 37922, 22426, 7916, 16747, 109226, 27702, 29659, 54260, 12483, 7243, 3120, 6319, 54260, 1211, 7508, 54260, 59461, 657, 71616, 4, 29771, 35189, 3120, 657, 75230, 16932, 2190, 17017, 71616, 4, 220224, 4269, 54260, 12483, 28415, 16803, 13497, 54260, 1644, 3069, 235210, 12483, 4, 6428, 5, 506, 5, 36324, 95766, 148932, 657, 71616, 3056, 81444, 2190, 17017, 71616, 4, 2200, 56170, 75290, 2882, 5, 4484, 54260, 5666, 2865, 39083, 3056, 95298, 2205, 4151, 37922, 22426, 7916, 16747, 17310, 4, 199145, 20033, 6, 101470, 230764, 4, 219947, 29771, 6319, 54260, 1211, 34076, 54260, 4944, 8903, 119718, 710, 40920, 3120, 657, 71616, 2200, 2190, 17017, 71616, 4, 1470, 54260, 13497, 54260, 1644, 29659, 188301, 43649, 23173, 75290, 2200, 4151, 221895, 2442, 1751, 119718, 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 ]
[ 104238, 152, 1285, 116486, 204403, 71945, 8300, 119718, 65689, 220224, 27702, 29659, 710, 63532, 178766, 1470, 75230, 2702, 119718, 21106, 2200, 10676, 185527, 3120, 10705, 54561, 6093, 21776, 26612, 2932, 52541, 5, 6, 168155, 123736, 23741, 6, 186145, 23741, 95298, 36324, 1285, 37922, 22426, 7916, 16747, 17310, 4, 2205, 159696, 1644, 104238, 3373, 26, 68313, 56170, 47351, 28415, 657, 71616, 4, 4269, 54260, 2882, 1751, 109636, 16932, 40653, 2205, 4838, 125523, 23847, 13159, 6093, 6093, 2190, 17017, 71616, 4, 2200, 56170, 75290, 2882, 5, 6, 64260, 4151, 81444, 4852, 123329, 1285, 21106, 87442, 152185, 22680, 29771, 26394, 2702, 3120, 657, 71616, 2200, 2190, 17017, 71616, 6, 95494, 23741, 905, 10676, 22639, 6093, 28726, 12984, 6319, 75322, 6293, 4, 37729, 159696, 1644, 12984, 1285, 6, 84577, 119718, 7682, 1644, 17310, 3120, 178766, 4113, 21776, 21066, 37016, 46053, 107776, 3069, 29659, 183512, 2200, 2702, 26, 44693, 20315, 2882, 7746, 1470, 75230, 2702, 10676, 115556, 16667, 27702, 29659, 710, 188201, 1470, 54260, 5666, 105235, 1644, 17310, 2205, 98478, 4, 119718, 710, 1470, 75230, 4667, 4151, 130170, 16629, 2648, 2205, 1285, 21776, 92605, 42180, 2702, 3120, 56170, 16629, 2648, 65482, 115374, 4, 159696, 1644, 107581, 57973, 190800, 8903, 101296, 40920, 56170, 16629, 2648, 65482, 79982, 1211, 3120, 6, 84577, 119718, 7682, 1644, 17310, 2200, 506, 29771, 18406, 174246, 56170, 16629, 2648, 65482, 4151, 7201, 23173, 109226, 5, 219947, 81444, 3056, 95455, 6, 99766, 3069, 27702, 506, 183512, 1644, 12483, 1285, 10339, 48775, 8903, 21422, 1285, 37922, 22426, 7916, 16747, 109226, 3120, 657, 71616, 2200, 2190, 17017, 71616, 21923, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 3120, 4151, 67882, 16932, 17645, 4, 10918, 3120, 10676, 224220, 22426, 7972, 138194, 28320, 115222, 46685, 1644, 4, 84475, 220224, 119055, 53414, 7369, 29659, 2205, 874, 15662, 165592, 75230, 1470, 75230, 7201, 139449, 4, 133190, 162926, 3056, 4, 15, 1644, 75230, 2882, 8947, 3056, 1470, 75230, 2702, 8903, 7201, 29766, 29659, 2200, 35189, 119718, 15533, 1211, 6235, 119718, 29766, 1211, 2205, 4151, 6, 208048, 97634, 192494, 16, 36324, 1285, 6, 59461, 119718, 1211, 4151, 215629, 1285, 63593, 22426, 7916, 16747, 109226, 3069, 220224, 6093, 9424, 216510, 10676, 874, 15662, 2200, 7369, 29659, 4231, 114436, 21776, 26612, 2932, 54196, 103854, 220224, 23269, 14764, 36484, 4, 1470, 75230, 4667, 6, 59461, 119718, 1211, 4, 7265, 98252, 42180, 1211, 7746, 6235, 15388, 2190, 17017, 71616, 4, 92500, 7265, 56170, 234221, 2200, 192183, 101608, 119718, 52541, 4, 230764, 163139, 46590, 3373, 26, 68313, 178748, 44779, 4, 6, 135542, 71616, 37922, 22426, 7916, 16747, 17310, 5, 178766, 874, 15662, 3056, 163139, 6, 47351, 6, 84577, 65482, 4, 119055, 13845, 107581, 119055, 77188, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 4859, 171433, 8903, 29659, 710, 63532, 37729, 1285, 6, 59461, 119718, 1211, 230764, 4151, 6, 23173, 75230, 2702, 91163, 6, 84577, 65482, 4, 1285, 4838, 144532, 125897, 118809, 5, 35189, 874, 15662, 3056, 1470, 54260, 57619, 54260, 46545, 1470, 75230, 4667, 4838, 192183, 20315, 16667, 40096, 29766, 2200, 4838, 21776, 168155, 119718, 23173, 7201, 23173, 1285, 37922, 22426, 7916, 16747, 109226, 4, 199145, 18225, 37826, 1751, 75230, 1211, 190800, 8903, 28726, 47332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 95455, 364, 54260, 16803, 4, 7201, 23173, 4151, 4151, 7201, 23173, 17310, 5, 10069, 123736, 12890, 87442, 1211, 119055, 13845, 107581, 21923, 56170, 1982, 88917, 1211, 7265, 4151, 190800, 8903, 28726, 1982, 16932, 1644, 71616, 84475, 2190, 17017, 71616, 4, 6, 225164, 1751, 75230, 1211, 6, 21106, 54260, 1211, 6, 23173, 75230, 2702, 4838, 6, 84577, 3131, 80453, 4113, 4944, 213952, 4113, 21776, 92605, 42180, 4, 44064, 241662, 119055, 12483, 1285, 37922, 22426, 7916, 16747, 17310, 119055, 77188, 7243, 28415, 124724, 87442, 2808, 75230, 7201, 139449, 4, 36324, 75230, 36324, 4151, 874, 15662, 6319, 68558, 37729, 220224, 23269, 14764, 36484, 7746, 119055, 53414, 69355, 1285, 7243, 6235, 119718, 41595, 3131, 65482, 37922, 22426, 7916, 16747, 109226, 4, 84475, 56170, 75290, 2882, 4151, 190386, 4113, 12984, 92500, 3069, 2808, 54260, 67873, 95455, 1470, 75230, 7201, 101470, 2200, 192183, 101608, 119718, 52541, 1285, 6235, 119718, 41595, 105235, 5, 62808, 55242, 12483, 95455, 2205, 10676, 19302, 59929, 65689, 564, 54260, 3131, 22426, 15350, 7265, 10676, 192544, 4, 199145, 10918, 2882, 7746, 98252, 564, 54260, 10676, 43449, 75230, 56880, 132025, 181615, 3120, 10339, 54260, 6093, 4, 1470, 75230, 1982, 3373, 26, 506, 64260, 7746, 5666, 29766, 6, 75322, 39083, 123736, 1982, 8903, 13458, 15907, 4, 3496, 64260, 3131, 8947, 7508, 54196, 7746, 1751, 75230, 1211, 28415, 4151, 13342, 7243, 3069, 5, 119718, 120467, 37922, 22426, 7916, 16747, 192956, 2442, 18225, 3056, 4, 6428, 5, 506, 5, 199145, 1751, 23173, 59919, 2200, 1470, 75230, 150020, 75322, 55823, 2808, 123329, 3373, 26, 68313, 4151, 874, 15662, 4, 6, 21106, 7611, 43649, 23173, 75290, 21776, 26612, 2932, 54196, 18225, 5, 119718, 120467, 43649, 23173, 75290, 1285, 3496, 119718, 21106, 710, 13159, 2200, 119055, 23173, 6093, 1285, 6, 84577, 65482, 4, 6, 21106, 7611, 6, 43375, 16932, 119718, 53414, 1470, 75230, 111137, 28726, 47332, 1470, 75230, 4667, 4231, 65482, 37922, 22426, 7916, 16747, 109226, 4, 119055, 13845, 107581, 21923, 37729, 4151, 35189, 7201, 23173, 17310, 132025, 8903, 235210, 21295, 2200, 192183, 20315, 16667, 54196, 6235, 119718, 29766, 1211, 4, 6, 21106, 7611, 4269, 48904, 89930, 2200, 28726, 1982, 16870, 123329, 6, 26394, 119718, 7682, 21295, 7746, 95455, 163825, 4, 564, 54260, 2050, 19302, 54260, 16667, 28320, 3069, 235210, 43178, 29659, 75230, 46053, 4852, 18167, 7265, 4838, 6, 170355, 4667, 199145, 37826, 6, 75322, 39083, 160751, 48775, 40920, 657, 71616, 84475, 2190, 17017, 71616, 5, 119718, 120467, 10339, 39083, 88660, 2865, 114436, 4151, 874, 15662, 4, 6, 21106, 7611, 657, 141847, 6093, 2200, 7265, 28415, 1470, 54260, 179561, 506, 54260, 28320, 6235, 20315, 185226, 7369, 1285, 5332, 87311, 42180, 2702, 2200, 6, 21106, 7611, 17824, 23174, 6093, 4151, 87311, 13497, 7369, 7746, 95766, 220224, 5, 35189, 19302, 54260, 16667, 16932, 177157, 22426, 97634, 2050, 42542, 1470, 75230, 21066, 4113, 18406, 1285, 17824, 13159, 18415, 2200, 7508, 54260, 4944, 80885, 44693, 35189, 2205, 4151, 4151, 127684, 17310, 5, 230764, 215031, 185527, 119055, 77188, 4151, 190386, 91595, 2648, 120467, 1470, 75230, 7201, 101470, 2200, 21776, 26612, 2932, 52541, 230764, 4838, 3373, 4667, 6, 170355, 12984, 4, 119055, 13845, 107581, 21923, 125523, 7243, 27909, 4944, 8903, 28726, 47332, 6235, 119718, 29766, 1211, 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 ]
[ 133190, 199145, 21923, 37729, 4838, 6, 238144, 16932, 1751, 54260, 14540, 64769, 44779, 13342, 10676, 190800, 8903, 28726, 47332, 1211, 5, 2205, 4151, 41764, 21087, 4944, 39083, 29771, 46677, 119055, 77188, 95455, 132025, 8903, 225164, 59929, 29771, 10918, 215726, 5, 10069, 3373, 47912, 199145, 6, 225164, 6, 23173, 75230, 2702, 6, 47351, 6, 59929, 29771, 10918, 215726, 119055, 53414, 95298, 56170, 16629, 2648, 5666, 23173, 46545, 4151, 21733, 77188, 152, 2205, 1470, 54260, 1211, 10339, 21106, 364, 186955, 18225, 1285, 6, 59929, 29771, 10918, 215726, 4838, 75386, 6, 23173, 48350, 160022, 40096, 3120, 4838, 137, 13342, 61541, 133671, 1470, 54260, 16747, 55049, 2909, 119055, 13845, 104238, 119055, 87442, 564, 54260, 10676, 96302, 81829, 56170, 16629, 2648, 65482, 4151, 127684, 109226, 2200, 9721, 141847, 2882, 70845, 4, 36324, 75230, 4838, 68550, 4, 3069, 1982, 26612, 29659, 710, 188201, 56170, 21847, 54260, 12984, 15, 2648, 120467, 3056, 4151, 6, 75322, 119718, 710, 112690, 152194, 1211, 163139, 2702, 5666, 95494, 23741, 192956, 29025, 905, 240863, 247, 2205, 6, 47351, 6, 183512, 53414, 10339, 21106, 119055, 77188, 95455, 4151, 3131, 54260, 49008, 3120, 4838, 27702, 29659, 52480, 16932, 59929, 29771, 10918, 215726, 4151, 21733, 77188, 37729, 4151, 43649, 23173, 178674, 54260, 2882, 3120, 1470, 54260, 16747, 55049, 15, 2648, 120467, 92666, 75230, 22426, 2882, 39293, 4944, 44779, 4151, 43649, 183512, 172060, 185226, 3120, 10676, 14856, 4944, 48904, 65689, 67882, 16932, 710, 21106, 78653, 247, 910, 5666, 5, 874, 15857, 2648, 142429, 120467, 6, 23173, 75230, 7201, 3131, 119718, 905, 51723, 3120, 6, 47351, 6, 59929, 29771, 10918, 215726, 119055, 77188, 1470, 75230, 4667, 1470, 75230, 2702, 8903, 2882, 54260, 2882, 29659, 7265, 35189, 1751, 54260, 14540, 199145, 3056, 56170, 47351, 9424, 119718, 65689, 10676, 87481, 186955, 3120, 6, 47351, 1470, 54260, 16747, 55049, 15, 119718, 710, 36419, 13805, 84475, 67882, 40920, 247, 2200, 1285, 22639, 6093, 192956, 1751, 186145, 1982, 109226, 3120, 10676, 115374, 4, 159696, 1644, 12984, 1285, 27702, 2808, 54260, 5666, 158853, 46053, 2819, 6, 64260, 4151, 3373, 63383, 87442, 710, 119718, 34533, 13456, 2808, 88945, 21106, 34533, 152185, 1982, 26612, 68566, 6293, 6, 159696, 15388, 6, 59929, 29771, 10918, 215726, 4, 163139, 75903, 15388, 4838, 223779, 29771, 203749, 65689, 116486, 26394, 2702, 221387, 13342, 4151, 41764, 21087, 4944, 29771, 208048, 1644, 17645, 2200, 4151, 22639, 10069, 119718, 56570, 21106, 41764, 21087, 4944, 39083, 29771, 46677, 4, 3120, 80453, 5, 32054, 75230, 2648, 2200, 6, 80453, 5, 6, 93704, 44478, 5, 29771, 75578, 88771, 3056, 4, 36324, 1285, 115556, 192956, 1751, 186145, 1982, 109226, 119718, 53414, 1751, 75230, 1211, 6, 21106, 54260, 1211, 6, 78683, 10705, 4852, 21106, 34533, 13456, 27702, 29659, 710, 63532, 37729, 1285, 40026, 6093, 103023, 16870, 6093, 7201, 23173, 109226, 74, 1285, 4151, 7201, 23173, 109226, 163139, 35189, 6, 104378, 3120, 1285, 29771, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 5, 1285, 43649, 23173, 178674, 54260, 2882, 7265, 119055, 13845, 104238, 4838, 1470, 54260, 16747, 55049, 1982, 26612, 119718, 9221, 20911, 178766, 160238, 105235, 12666, 5, 2200, 6, 95494, 23741, 178766, 4113, 6, 59929, 29771, 10918, 215726, 2702, 4, 3056, 137377, 506, 4113, 159377, 3120, 1285, 3523, 54260, 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 ]
[ 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 4, 2205, 119055, 13845, 107581, 20033, 6235, 7916, 49008, 7746, 4, 2200, 3056, 116486, 204403, 29025, 101328, 151227, 3069, 178766, 4113, 1751, 186145, 1982, 109226, 1470, 75230, 2702, 13342, 2865, 54260, 35465, 2190, 17017, 71616, 2200, 6235, 119718, 710, 49008, 657, 71616, 4, 49027, 107581, 21923, 3120, 220224, 6093, 220224, 2882, 6, 71577, 90848, 108264, 2882, 3120, 40026, 6093, 190800, 8903, 28726, 1982, 18415, 4151, 7201, 23173, 109226, 4, 6428, 5, 506, 5, 3120, 56170, 240863, 65482, 657, 71616, 2200, 2190, 17017, 71616, 37922, 22426, 7916, 16747, 109226, 5, 10705, 54561, 123073, 1751, 186145, 1982, 109226, 2200, 21422, 67873, 1285, 49008, 81444, 163139, 6, 47351, 895, 87442, 2442, 152185, 88660, 13497, 129071, 9424, 119718, 65689, 1285, 115222, 2932, 5666, 159696, 33716, 125897, 2200, 56170, 240863, 65482, 4151, 7201, 23173, 64071, 1211, 4, 4838, 88660, 13497, 129071, 199145, 6, 95494, 23741, 10676, 4269, 54260, 175483, 1211, 895, 87442, 2442, 65689, 1751, 226112, 2050, 3120, 3944, 40920, 92500, 119055, 23173, 141564, 54260, 2882, 292, 10676, 34072, 7611, 3120, 6, 47351, 6, 59929, 29771, 10918, 215726, 5, 1285, 163139, 4944, 46545, 80885, 2808, 54260, 2932, 5666, 95494, 23741, 3120, 1285, 6, 59929, 29771, 10918, 215726, 2702, 27702, 29659, 54260, 2882, 95298, 7243, 2205, 10676, 112216, 21087, 119718, 1211, 22426, 90848, 26394, 2702, 3120, 6, 23173, 75230, 2702, 8903, 225164, 119055, 53414, 4, 133190, 2205, 4151, 6, 129071, 710, 159696, 2442, 7508, 39083, 4, 199145, 4852, 54260, 46440, 1211, 2205, 56170, 7201, 39083, 88660, 51723, 1285, 174538, 12483, 3120, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 4, 92500, 2205, 6, 54260, 6093, 1470, 75230, 7201, 119859, 30750, 3069, 6, 215629, 4, 37729, 56170, 21847, 54260, 12984, 4, 69355, 1285, 40026, 6093, 2648, 125897, 4151, 7201, 23173, 109226, 4, 3069, 3523, 54260, 4113, 4151, 23847, 54260, 4944, 109226, 5, 10069, 45521, 2808, 7682, 54260, 2882, 1470, 75230, 7201, 13342, 28726, 18406, 2200, 6, 59929, 29771, 10918, 2808, 52541, 7243, 6235, 119718, 106559, 3131, 65482, 4113, 87311, 42180, 2702, 6, 84577, 119718, 7682, 21295, 2205, 10676, 115374, 1285, 6319, 48775, 23741, 3120, 163139, 35189, 29659, 183512, 4, 292, 10069, 45521, 14004, 178674, 54260, 2882, 1470, 75230, 7201, 13342, 28726, 18406, 2200, 6, 59929, 29771, 10918, 2808, 52541, 6235, 119718, 106559, 105235, 5332, 87311, 42180, 2702, 9721, 141847, 2882, 10069, 1751, 186145, 1982, 17310, 220224, 125523, 6, 75322, 39083, 190800, 13342, 28726, 18406, 4, 2200, 6, 84577, 119718, 7682, 21295, 36324, 75230, 4838, 68550, 95766, 10676, 115374, 10676, 224220, 22426, 28726, 13805, 3120, 27702, 29659, 710, 188201, 4838, 150349, 9221, 215726, 2702, 5, 95766, 564, 54260, 20315, 10339, 21106, 1211, 6235, 119718, 41595, 4151, 115556, 4838, 178748, 28726, 4944, 4484, 54260, 2882, 7746, 160238, 13342, 128540, 1285, 3069, 17494, 217814, 125897, 5332, 87311, 42180, 2702, 4, 27702, 21847, 54260, 4667, 163139, 220224, 119055, 39083, 28320, 6235, 159696, 1211, 115222, 2932, 5666, 159696, 33716, 125897, 5, 168155, 123736, 23741, 43649, 75230, 46053, 7746, 95298, 6, 64260, 1285, 3069, 17494, 217814, 125897, 5332, 87311, 42180, 2702, 9424, 43178, 75230, 6293, 189098, 1285, 115222, 2932, 5666, 159696, 33716, 125897, 2819, 95455, 107776 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 160238, 119055, 12483, 236512, 4838, 657, 71616, 2205, 4151, 39340, 2932, 5666, 119718, 23173, 2882, 4, 65146, 18225, 37922, 22426, 105780, 35465, 4838, 2190, 17017, 71616, 2205, 4151, 3069, 17494, 217814, 4, 84475, 7201, 23173, 75290, 2882, 4, 119055, 12483, 236512, 4838, 2190, 17017, 71616, 2205, 4151, 115222, 2932, 74774, 69452, 4, 43649, 54260, 2882, 160238, 4838, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 10149, 1644, 71616, 2205, 4151, 3069, 17494, 217814, 4, 1470, 75230, 1982, 1285, 116486, 204403, 71945, 3056, 4838, 34076, 54260, 107581, 4, 22753, 98833, 4151, 150349, 171433, 57277, 59461, 21776, 21066, 4113, 13805, 3120, 119055, 53414, 7746, 196991, 4151, 2190, 17017, 71616, 2200, 1751, 186145, 18406, 13342, 4151, 657, 71616, 4, 7243, 21776, 4944, 43178, 188301, 7746, 7265, 4151, 3069, 17494, 217814, 4, 119055, 12483, 4151, 10705, 194734, 93509, 15435, 3056, 95298, 4838, 17824, 75230, 101608, 4, 6428, 5, 506, 5, 119055, 12483, 1470, 75230, 33225, 75773, 3120, 4838, 39340, 2932, 5666, 159696, 33716, 123329, 19302, 114436, 6093, 2190, 17017, 71616, 4, 43649, 54260, 2882, 160238, 190800, 13342, 28726, 18406, 4838, 17824, 75230, 36419, 13342, 17494, 217814, 125897, 657, 71616, 4, 84475, 230764, 10676, 75773, 3120, 4838, 115222, 2932, 5666, 159696, 33716, 123329, 21733, 54260, 59461, 657, 71616, 4, 43649, 54260, 2882, 160238, 4838, 1751, 109636, 16932, 2648, 125897, 17824, 75230, 36419, 2190, 17017, 71616, 4, 241662, 192575, 160238, 104378, 6, 47351, 22639, 6093, 192956, 2442, 6319, 75322, 6293, 5, 62808, 51678, 7746, 192183, 25616, 29060, 160238, 128540, 6, 64260, 10676, 116486, 26394, 2702, 4, 119055, 12483, 20033, 101470, 73784, 564, 54260, 3131, 22426, 15350, 4838, 115374, 4, 199145, 6, 226112, 98833, 4838, 78956, 188301, 4113, 85658, 7265, 506, 54260, 2702, 119055, 59929, 6093, 2819, 9747, 7746, 3069, 119055, 53414, 4, 196991, 4151, 6, 87311, 96302, 48904, 6093, 2190, 17017, 71616, 4, 199145, 2648, 120467, 56170, 95494, 23741, 70845, 4, 6, 94741, 63020, 7369, 95455, 6235, 7201, 13159, 6, 23173, 137377, 119718, 23173, 33225, 4, 1470, 75230, 1982, 7369, 119055, 29060, 2648, 120467, 95298, 160204, 4, 119055, 29060, 7369, 2205, 4151, 6, 113889, 216510, 3069, 17494, 217814, 107020, 119859, 57619, 1211, 120202, 8903, 84316, 21295, 119055, 53414, 5, 1982, 165592, 116628, 6, 64260, 10676, 6, 150349, 171433, 57277, 119132, 21776, 21066, 4113, 13805, 4, 49027, 104238, 3056, 4838, 116486, 108264, 2050, 69355, 10676, 6, 80453, 52480, 111179, 119718, 224252, 710, 185226, 4, 42542, 6, 29766, 4838, 43649, 23173, 39340, 6, 75230, 1644, 16667, 6319, 48775, 23741, 4, 119718, 120467, 21776, 21066, 87442, 54196, 1285, 160238, 105235, 1644, 17310, 2200, 1285, 6, 59929, 29771, 10918, 215726, 3120, 190800, 8903, 28726, 1982, 18415, 4, 4151, 7201, 23173, 65482, 5332, 87311, 42180, 2702, 2205, 56170, 12890, 16747, 17310, 7265, 4151, 3069, 17494, 217814, 81444, 115222, 2865, 23741, 35189, 28415, 4151, 7201, 23173, 114436, 224252, 710, 185226, 4, 2200, 220224, 1211, 216888, 4151, 163139, 67873, 4, 7265, 10676, 41764, 12415, 144754, 54260, 159696, 1211, 224252, 710, 185226, 2200, 4852, 54260, 1211, 6, 216888, 4151, 6, 150349, 171433, 57277, 59461, 21776, 21066, 4113, 13805, 4, 81444, 27702, 238144, 4852, 2882, 7746, 35189, 6235, 94741, 20260, 5, 8947, 107776 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1470, 75230, 92904, 43082, 1285, 160238, 105235, 1644, 17310, 159696, 15388, 4151, 17824, 75230, 101608, 2190, 17017, 71616, 4, 199145, 4151, 119718, 23173, 2882, 10676, 115374, 564, 54260, 2050, 23173, 137377, 119718, 23173, 33225, 95455, 6235, 7201, 13159, 7265, 364, 54260, 2702, 119055, 59929, 6093, 4, 230764, 10676, 75773, 3120, 4151, 87311, 96302, 48904, 6093, 19302, 54260, 59461, 657, 71616, 3120, 4151, 1644, 54260, 4944, 16932, 17310, 5, 26612, 22753, 2932, 3120, 4151, 6, 87311, 96302, 48904, 6093, 19302, 54260, 59461, 657, 71616, 40653, 4151, 1751, 109636, 16932, 2648, 123329, 17824, 75230, 101608, 2190, 17017, 71616, 4, 83066, 2882, 3069, 4151, 56170, 46685, 17310, 3120, 2190, 17017, 71616, 4, 3069, 35189, 56170, 2865, 127684, 17310, 3120, 17190, 1982, 16667, 45521, 2808, 7682, 54260, 2882, 2200, 3069, 9915, 13845, 1211, 130170, 240863, 2819, 95455, 68313, 4151, 22753, 2932, 3120, 10676, 224252, 710, 185226, 40653, 10676, 6235, 94741, 20260, 4, 3120, 10676, 17741, 506, 81829, 2808, 88680, 10676, 115556, 28726, 12984, 5, 35189, 22753, 2932, 3120, 4151, 1751, 109636, 16932, 2648, 123329, 17824, 75230, 101608, 657, 71616, 40653, 4151, 39340, 2932, 5666, 159696, 33716, 123329, 19302, 54260, 59461, 2190, 17017, 71616, 4, 3056, 4151, 22753, 2932, 3120, 10676, 6235, 94741, 20260, 40653, 20315, 2050, 224252, 710, 185226, 4, 3120, 10676, 115556, 28726, 12984, 40653, 10676, 17741, 506, 81829, 5, 4151, 25207, 124740, 2882, 40096, 3056, 1285, 6, 84577, 119718, 7682, 1644, 17310, 2200, 95455, 34072, 12483, 3120, 98478, 5, 6, 5, 6, 5, 6, 5, 62808, 55242, 12483, 163139, 6, 149364, 159696, 2442, 39293, 115556, 12483, 4, 38087, 30721, 2200, 10339, 75230, 1644, 43178, 89930, 65146, 1211, 10705, 194734, 48974, 54260, 1211, 4, 95455, 3056, 4151, 7201, 23173, 4, 6, 238144, 1644, 220224, 6093, 163139, 1644, 16667, 4484, 48775, 23741, 3056, 3069, 1751, 119718, 26612, 4667, 4, 238144, 1644, 564, 54260, 220224, 3056, 3069, 43449, 59929, 1285, 160238, 105235, 1644, 17310, 2200, 1285, 45521, 2808, 7682, 54260, 2882, 21422, 10057, 5666, 5, 874, 15857, 2648, 29771, 59929, 29771, 10918, 2808, 52541, 4, 1470, 75230, 7201, 13342, 28726, 18406, 2200, 3069, 51678, 56170, 39340, 2932, 5666, 159696, 33716, 133671, 1285, 2190, 17017, 71616, 4, 119718, 120467, 43649, 54260, 2882, 220224, 160238, 2200, 65146, 15, 103854, 6, 149364, 4852, 43178, 192956, 2442, 54745, 2932, 114436, 215726, 2200, 2702, 29771, 10918, 21106, 1211, 6, 120467, 99176, 8300, 78653, 16, 6, 104378, 4838, 75386, 4838, 6, 172060, 13845, 76963, 3120, 220224, 123073, 7243, 1982, 26612, 506, 6093, 105235, 657, 54260, 2648, 5666, 95494, 23741, 1211, 5, 220224, 37922, 22426, 105780, 35465, 133190, 1285, 6, 87311, 96302, 48904, 4113, 657, 71616, 2200, 35189, 144754, 199145, 220224, 33960, 18406, 7746, 11265, 130170, 4, 56170, 1644, 52541, 220224, 10676, 192183, 226112, 17410, 88680, 7746, 2200, 21776, 23847, 13159, 52541, 3069, 4151, 874, 212479, 3120, 4838, 17741, 506, 5, 15, 64260, 1285, 3131, 119718, 26612, 4944, 4484, 54260, 2882, 3120, 163139, 67873, 3056, 3120, 11265, 220224, 2882, 6, 21106, 54260, 1211, 4838, 116486, 108264, 2882, 3120, 4838, 31249, 91595, 6093, 4151, 10918, 17310, 2200, 3120, 4838, 1982, 5666, 29766, 101296, 28726, 5332, 88660, 113889, 2865, 40697, 2200, 3373, 29771, 10918, 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 ]
[ 4113, 10705, 14857, 18415, 16747, 1211, 4, 3373, 54260, 119055, 12483, 95455, 3056, 40653, 195164, 123329, 119055, 75230, 1644, 97634, 2932, 2200, 9934, 29766, 2932, 212484, 7682, 54260, 2882, 4, 3373, 54260, 119055, 12483, 95455, 21923, 37271, 3120, 4151, 221895, 2442, 220224, 2882, 4, 6, 168155, 620, 91595, 4113, 92500, 4151, 13982, 7682, 213952, 4113, 17190, 1982, 16667, 1982, 93704, 23174, 109226, 194, 1982, 54260, 115556, 12483, 199145, 51678, 7746, 27702, 506, 6093, 81829, 2200, 9424, 75230, 51723, 2819, 564, 54260, 115556, 12483, 4, 1982, 54260, 119055, 13845, 107581, 1285, 160238, 105235, 1644, 17310, 2702, 6319, 48775, 23741, 3056, 1751, 57277, 24152, 4, 1285, 4151, 7201, 23173, 17310, 16175, 32097, 4, 92500, 220224, 51678, 27702, 30473, 15388, 1285, 6, 87311, 96302, 48904, 4113, 37922, 22426, 7916, 16747, 109226, 4, 564, 54260, 6, 64260, 1285, 115556, 12483, 4, 1982, 54260, 119055, 13845, 107581, 8947, 22753, 98833, 4151, 6235, 94741, 20260, 4, 3056, 6, 238144, 1644, 7369, 9721, 141847, 2882, 7265, 7746, 6, 59929, 4667, 657, 71616, 2200, 119055, 77188, 220224, 4151, 7201, 26612, 26612, 23173, 7369, 6, 113889, 35596, 4, 364, 75230, 47332, 7369, 7746, 564, 54260, 220224, 68558, 3069, 6, 84577, 119718, 7682, 1644, 12483, 2200, 112216, 24621, 44779, 40653, 13342, 2932, 54260, 12483, 2205, 4838, 3523, 54260, 6093, 1470, 54260, 2932, 5666, 95494, 23741, 4, 119718, 120467, 56170, 23269, 63532, 107020, 119859, 57619, 1211, 95455, 6, 99766, 3120, 10676, 6, 80453, 52480, 111179, 119718, 1211, 224252, 710, 185226, 92500, 56170, 2808, 54260, 29171, 2882, 7746, 7265, 10676, 22753, 61397, 2702, 6, 76776, 29631, 4, 292, 95455, 3056, 95455, 6235, 46590, 5, 64260, 10676, 116486, 26394, 2702, 51678, 20033, 6, 113889, 4944, 7201, 39083, 15388, 119055, 12483, 20033, 17806, 38249, 7746, 3069, 13342, 10676, 6, 84577, 119718, 7682, 1644, 17310, 2702, 6, 159696, 2932, 3120, 10676, 163139, 1644, 35465, 73784, 52059, 29631, 115556, 5, 62808, 55242, 12483, 163139, 4151, 130170, 16629, 2648, 9424, 119718, 65689, 10676, 37826, 35596, 64260, 26, 2702, 27702, 68566, 6293, 159696, 15388, 4269, 91275, 171428, 4838, 75386, 4838, 221067, 16175, 40096, 4, 241662, 119055, 12483, 7369, 4269, 91275, 29060, 564, 54260, 6, 17645, 119132, 4, 92500, 4838, 75386, 4838, 620, 91595, 4113, 6, 79524, 4, 119055, 12483, 4231, 114436, 4269, 91275, 29060, 564, 54260, 70845, 4, 292, 2200, 9424, 119718, 65689, 20315, 2050, 52059, 29631, 115556, 16667, 6235, 46590, 3120, 163139, 35189, 119718, 159993, 73784, 4269, 91275, 171428, 4, 3056, 43449, 75230, 4852, 47351, 130170, 16629, 2648, 2205, 56170, 13159, 4, 6, 47351, 130170, 16629, 2648, 2205, 4151, 7201, 23173, 109226, 4, 119055, 13845, 107581, 104378, 3120, 220224, 123073, 56170, 16629, 2648, 65482, 5332, 88660, 113889, 2865, 40697, 101251, 105235, 16747, 1211, 5, 564, 54260, 10676, 6093, 29659, 1211, 3056, 7508, 75230, 1982, 95455, 163139, 4944, 46545, 80885, 174538, 56170, 220224, 1211, 161048, 30473, 80885, 69106, 4, 2200, 4151, 7201, 23173, 1470, 75230, 4667, 1285, 10213, 80885, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 4151, 23847, 54260, 12984, 657, 71616, 4, 292, 564, 54260, 10676, 183512, 53414, 3056, 4269, 91275, 171428, 56170, 1982, 88917, 1211, 7265, 364, 23173, 75578, 1751, 226112, 6293, 4, 49027, 107581, 119055, 77188, 168155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 54260, 59919, 7682, 1470, 75230, 2702, 8903, 7916, 33716, 37729, 1285, 11211, 16932, 3120, 41764, 12415, 119718, 40096, 1470, 54260, 105405, 14088, 4, 2648, 5, 506, 5, 36324, 9424, 119718, 65689, 10676, 37826, 13497, 64260, 2200, 10676, 52059, 29631, 115556, 6235, 7916, 13497, 7746, 35189, 130170, 16629, 2648, 2205, 1285, 56170, 16629, 2648, 65482, 3373, 57277, 10069, 13159, 3120, 4838, 3373, 4667, 874, 39083, 27702, 3131, 226112, 23741, 119718, 53414, 56170, 4269, 91275, 171428, 4, 3120, 37922, 22426, 105780, 35465, 4838, 3373, 4667, 874, 39083, 36324, 13845, 107581, 101251, 12666, 119364, 4, 199145, 4852, 171428, 1751, 57277, 24152, 40653, 8903, 29659, 116628, 1285, 657, 71616, 4, 199145, 95455, 4269, 91275, 171428, 37826, 241997, 6, 199511, 5, 1285, 4151, 7201, 23173, 17310, 3120, 1751, 226112, 6293, 37826, 3069, 6093, 29659, 160751, 48775, 40920, 20315, 2050, 115374, 73784, 137, 219947, 163139, 116604, 133671, 155, 27702, 506, 6093, 81829, 7746, 4, 84475, 216333, 8903, 225975, 2882, 4, 3069, 10676, 27702, 506, 6093, 81829, 22753, 2648, 37729, 10676, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 11156, 171433, 29659, 25207, 183216, 10676, 163139, 67873, 15, 2648, 29771, 6, 218872, 171433, 54196, 4151, 8903, 94741, 20260, 16, 2200, 7265, 4151, 9424, 54260, 2882, 3056, 95455, 40653, 8903, 240863, 12483, 2205, 4838, 6235, 46590, 3120, 119718, 710, 35189, 119718, 159993, 73784, 4269, 91275, 171428, 5, 2648, 120467, 6235, 46590, 37826, 7746, 6, 84577, 119718, 7682, 21295, 564, 54260, 10676, 116486, 1644, 29060, 23173, 63188, 2200, 564, 54260, 20315, 2050, 6319, 71577, 15907, 21106, 34533, 230764, 56170, 16629, 2648, 65482, 2190, 136876, 4, 95298, 2205, 564, 54260, 20315, 10339, 21106, 1211, 68313, 95455, 4838, 564, 21106, 183718, 9424, 119718, 65689, 657, 71616, 2200, 2190, 17017, 71616, 5, 564, 54260, 10676, 116486, 28726, 57277, 12415, 150839, 64260, 1285, 160238, 75230, 2702, 8903, 39293, 65482, 17824, 75230, 36419, 2190, 17017, 71616, 3120, 1751, 226112, 6293, 4, 230764, 10676, 75773, 69355, 4151, 19302, 54260, 59461, 657, 71616, 178748, 28726, 4944, 4484, 54260, 2882, 4, 119055, 13845, 107581, 7369, 42542, 196979, 37729, 20315, 2050, 4269, 91275, 171428, 4, 6, 84577, 119718, 7682, 21295, 95455, 6235, 46590, 3120, 163139, 35189, 119718, 159993, 4, 199145, 119055, 77188, 69355, 70845, 6, 23173, 88680, 8903, 186145, 28320, 4, 133190, 2205, 9424, 54260, 28320, 3120, 148707, 186145, 46685, 3523, 75230, 2882, 2200, 20315, 23847, 93704, 215726, 4, 292, 564, 54260, 10676, 6319, 71577, 15907, 21106, 34533, 37826, 7746, 95455, 81444, 4852, 125897, 6235, 46590, 84577, 119718, 7682, 21295, 37729, 4151, 178748, 28726, 4944, 4484, 54260, 2882, 199145, 7369, 37826, 3069, 4151, 23847, 54260, 12984, 1285, 6319, 159696, 67873, 69355, 657, 71616, 230764, 4838, 28415, 6, 48775, 105780, 54196, 1211, 4, 657, 75230, 5666, 188301, 1211, 2200, 6, 238144, 29171, 6093, 6235, 59919, 28726, 12984, 72841, 1211, 4, 6428, 5, 506, 5, 230764, 10676, 75773, 3120, 19302, 114436, 6093, 2190, 17017, 71616, 5, 1285, 17824, 65482, 64213, 119718, 120467, 95455, 6235, 46590, 3120, 163139, 35189, 119718, 159993, 73784, 4269, 91275, 171428, 6, 105235, 21295, 70845, 4, 46711, 29060, 7369, 23173, 88680, 133190, 9213, 4838, 10339, 21106, 37640, 148707, 186145, 46685, 6, 76776, 12415, 38596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2882, 4, 84475, 30109, 48904, 15307, 54260, 2882, 132, 21733, 4113, 22426, 97634, 101296, 142170, 194, 10069, 123736, 12890, 87442, 710, 159696, 3373, 47912, 4, 119055, 13845, 107581, 4151, 190386, 4113, 12984, 10676, 40653, 240863, 3120, 20315, 2050, 224252, 710, 185226, 73784, 6235, 94741, 20260, 4, 2200, 3120, 10676, 6235, 94741, 20260, 73784, 6235, 46590, 4, 51678, 4852, 54260, 1211, 4269, 171127, 7682, 2200, 364, 23173, 87311, 5666, 52541, 7265, 10676, 6, 240863, 3120, 4151, 6, 84577, 119718, 7682, 1644, 17310, 4, 20315, 87311, 21295, 3056, 4151, 364, 75230, 22426, 2882, 6, 109316, 96302, 3120, 6, 64260, 10676, 116486, 26394, 2702, 6235, 119718, 2808, 75230, 5927, 54260, 2882, 4, 92500, 22753, 56170, 29659, 23173, 20911, 2200, 67882, 40920, 86510, 6093, 1285, 27702, 29659, 710, 188201, 27702, 68566, 33225, 2200, 4113, 87311, 42180, 2702, 4, 199145, 27702, 159696, 15388, 7746, 2205, 4838, 6235, 119718, 21292, 1211, 34076, 54260, 4944, 8903, 119718, 710, 40920, 2200, 6, 192539, 1211, 4852, 18167, 2205, 4838, 27702, 29659, 52480, 16932, 2200, 1470, 75230, 2702, 8903, 3131, 22426, 90848, 4944, 114436, 6, 120749, 17310, 4, 22753, 32887, 2865, 22426, 97634, 75578, 1470, 54260, 57619, 54260, 46545, 120202, 1285, 4838, 122868, 63593, 54260, 23269, 4269, 54260, 175483, 4113, 6, 84577, 119718, 7682, 1644, 17310, 2200, 564, 23173, 54260, 104238, 2882, 7243, 230764, 6319, 54260, 1211, 3373, 4667, 10676, 115556, 16667, 174538, 12483, 3120, 6319, 75322, 6293, 56170, 4113, 65442, 710, 80885, 69106, 152, 292, 15, 8903, 119718, 75230, 5927, 54260, 2882, 4, 163139, 4838, 116486, 108264, 2882, 3120, 4838, 1982, 2702, 39083, 36609, 87311, 113889, 2882, 239162, 92500, 1470, 54260, 5666, 7201, 29766, 9719, 39340, 40653, 63751, 109226, 3120, 163139, 24152, 109226, 4, 119055, 13845, 107581, 4151, 115556, 23269, 63532, 131086, 29659, 230764, 230764, 6, 47351, 101251, 1982, 26612, 119718, 71616, 1211, 2200, 112216, 21087, 119718, 1211, 185527, 4, 5332, 65442, 34533, 54196, 2808, 88680, 506, 75230, 22426, 2882, 7243, 5, 2205, 4151, 21776, 21106, 131044, 6, 105235, 21295, 1285, 6235, 119718, 75230, 5927, 54260, 2882, 7265, 4852, 18167, 43449, 75230, 4852, 160238, 10676, 21776, 124740, 2882, 40096, 3120, 4151, 1285, 76776, 2865, 152185, 1470, 54260, 5927, 54260, 2882, 3120, 9719, 83182, 4113, 163139, 35189, 3131, 80453, 905, 12984, 4, 2205, 192183, 2882, 48775, 16803, 3069, 178766, 4113, 27702, 119718, 71616, 30473, 29171, 4113, 4, 129071, 710, 159696, 4151, 7201, 23173, 109226, 199145, 6, 128540, 7265, 7746, 160238, 4838, 28415, 1285, 76776, 2865, 40697, 2200, 25207, 119718, 39083, 905, 10918, 239162, 25207, 1470, 54260, 5927, 54260, 2882, 3120, 17824, 13159, 123073, 2200, 86510, 123073, 163139, 35189, 3131, 80453, 905, 12984, 5, 1285, 7201, 29766, 105235, 1644, 17310, 6, 159696, 15388, 10676, 98478, 4, 163139, 6, 159696, 15388, 4838, 45495, 24621, 3120, 6235, 119718, 75230, 5927, 54260, 28320, 4, 119055, 13845, 4944, 65482, 63532, 7243, 2205, 132025, 1982, 26612, 236376, 1285, 6, 150349, 21660, 42733, 40697, 7508, 39083, 199145, 3373, 26, 3131, 22426, 159993, 10676, 96302, 3131, 16667, 27702, 119718, 71616, 30473, 29171, 4113, 2200, 6, 129071, 710, 159696, 4151, 7201, 23173, 109226, 2205, 10676, 116486, 26394, 2702, 69355, 220224, 1211, 6, 84577, 119718, 7682, 1644, 17310, 2200, 6, 192539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17310, 4, 56170, 98055, 2882, 1285, 163139, 4944, 46545, 80885, 1470, 54260, 8903, 5666, 5666, 5, 874, 15857, 94741, 2389, 95494, 55823, 1211, 3120, 6, 64260, 10676, 116486, 26394, 2702, 2200, 3056, 4151, 7201, 23173, 14856, 4944, 48904, 13456, 2200, 10339, 21106, 3131, 194, 10069, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 51678, 1470, 75230, 4667, 220224, 1211, 101251, 2932, 171127, 7682, 2200, 115222, 2932, 23405, 48350, 21660, 2882, 13342, 4151, 6, 23173, 101296, 44478, 6, 84577, 119718, 7682, 1644, 17310, 4, 241662, 5, 3056, 874, 151461, 4151, 364, 75230, 22426, 2882, 6, 109316, 96302, 69355, 10676, 4269, 48904, 64213, 116486, 26394, 2702, 4, 2200, 4838, 21776, 905, 13845, 92866, 24001, 59461, 6093, 1751, 80453, 17310, 65146, 241662, 104378, 4, 4838, 75386, 1285, 17824, 106559, 71804, 8903, 3120, 4838, 3523, 54260, 46598, 21422, 21733, 4, 6428, 5, 506, 5, 3120, 4838, 3523, 54260, 46598, 40653, 240863, 3120, 224252, 24295, 13805, 3069, 6235, 94741, 20260, 2200, 3120, 5, 6235, 94741, 20260, 3069, 6235, 46590, 5, 10069, 874, 151461, 65146, 40653, 2932, 54260, 12483, 2205, 21776, 119718, 39083, 2882, 2200, 6, 23173, 75230, 2702, 225164, 116486, 18415, 16803, 132, 119718, 710, 3373, 26, 54595, 4151, 10339, 21106, 7265, 10676, 116486, 28726, 57277, 12415, 40096, 247, 1470, 75230, 1982, 1285, 123736, 12890, 87442, 710, 159696, 10705, 14857, 18415, 16747, 1211, 21923, 6, 23173, 4269, 171127, 7682, 56170, 4151, 6, 84577, 119718, 7682, 1644, 17310, 3120, 10676, 81444, 4852, 133671, 3131, 80453, 17310, 4, 119055, 13845, 104238, 3056, 21776, 71804, 15231, 119718, 3069, 6, 64260, 4151, 3523, 54260, 6235, 95494, 7201, 114436, 6, 71804, 8903, 6, 48904, 29766, 101296, 28726, 6, 84577, 119718, 7682, 1644, 17310, 5, 2808, 75230, 1982, 1285, 101251, 105235, 16747, 1211, 6428, 49008, 7243, 4269, 171127, 7682, 56170, 4151, 81444, 4852, 123329, 2808, 127684, 192956, 2442, 21776, 119718, 39083, 905, 42180, 4, 6428, 5, 506, 5, 36324, 1470, 75230, 1982, 6, 54260, 21923, 6, 113889, 4944, 75322, 39083, 6235, 159696, 16747, 29060, 39340, 15388, 4151, 364, 23173, 87311, 7511, 86733, 6, 84577, 119718, 7682, 12666, 148346, 3120, 10676, 115374, 4, 241662, 65146, 104378, 220224, 1211, 6, 84577, 154739, 46545, 4113, 54745, 2932, 114436, 215726, 5, 35189, 564, 21106, 183718, 9424, 119718, 65689, 657, 71616, 2200, 101251, 167673, 2702, 6, 95494, 23741, 1470, 75230, 4667, 1285, 657, 48350, 17310, 3120, 20315, 2050, 6, 84577, 26612, 2932, 171433, 78653, 9424, 119718, 65689, 10676, 89979, 50853, 5666, 26, 2702, 22639, 10069, 119718, 56570, 109316, 117578, 13159, 1211, 2200, 8300, 119718, 65689, 220224, 1211, 6235, 39293, 1644, 95494, 23741, 28726, 12984, 98478, 5, 35189, 6, 80453, 52480, 111179, 159696, 2442, 115556, 4, 119055, 13845, 104238, 3056, 6235, 159696, 1211, 2205, 6, 47351, 2190, 28714, 75230, 29111, 6093, 28726, 12984, 6235, 48775, 214766, 7265, 4151, 6235, 39293, 1644, 95494, 23741, 4, 37826, 6235, 192575, 2882, 120202, 59919, 1211, 7265, 26612, 3373, 4667, 6, 149364, 4852, 43178, 192956, 2442, 657, 71616, 4, 9747, 3069, 56170, 2865, 54260, 35465, 1285, 6235, 7201, 23173, 1211, 4, 199145, 21923, 7201, 23173, 1982, 88917, 1211, 7265, 10676, 6, 23173, 54260, 5666, 7201, 21106, 1211, 2200, 101251, 121740, 564, 54260, 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 ]
[ 6235, 39293, 1644, 95494, 23741, 2200, 4944, 10069, 3069, 196979, 1285, 17824, 13159, 123073, 657, 71616, 4, 199145, 95455, 6, 211630, 192956, 3069, 235210, 43178, 28726, 18406, 144754, 4151, 6235, 39293, 1644, 95494, 23741, 9721, 141847, 2882, 5, 35189, 6235, 135118, 36324, 18225, 42542, 7746, 7243, 27702, 46677, 1211, 6, 68558, 4151, 6235, 39293, 1644, 95494, 23741, 4, 165592, 18225, 42542, 7243, 5332, 65442, 34533, 52541, 6, 68558, 11265, 2200, 36324, 95455, 6, 211630, 192956, 3069, 235210, 43178, 28726, 18406, 7265, 11265, 9721, 141847, 2882, 17824, 13159, 123073, 9181, 119364, 230764, 10676, 75773, 3120, 19302, 114436, 4113, 10705, 17017, 71616, 1211, 4, 3056, 40653, 8903, 240863, 12483, 2205, 10676, 6235, 46590, 3120, 6235, 39293, 1644, 95494, 23741, 28726, 4944, 4484, 54260, 2882, 4, 92500, 6, 64260, 95455, 6235, 46590, 6, 84577, 119718, 7682, 21295, 7746, 36324, 75230, 6, 238144, 2882, 4, 8947, 119055, 77188, 36324, 75230, 16175, 54260, 6093, 20315, 2050, 115374, 4, 36324, 3373, 26, 165354, 6, 75322, 39083, 40653, 2932, 54260, 1211, 78278, 55242, 22849, 16803, 137377, 59919, 905, 5, 236512, 35189, 6235, 39293, 1644, 95494, 23741, 5, 6093, 19302, 29766, 9424, 54260, 4944, 171428, 7746, 120202, 1285, 207013, 6, 84577, 119718, 7682, 1644, 17310, 2702, 165284, 33225, 2205, 10676, 8903, 46590, 3120, 16175, 129071, 710, 38596, 54260, 2882, 4, 4151, 185527, 163139, 36324, 75230, 16175, 129071, 40697, 115374, 27702, 101470, 4852, 18167, 2200, 163139, 36324, 75230, 220224, 21776, 26612, 2932, 52541, 230764, 4231, 65482, 36258, 4269, 54260, 175483, 1211, 3069, 29659, 183512, 4, 6, 95494, 23741, 29771, 23741, 1285, 170315, 4852, 17645, 4, 36324, 16175, 129071, 710, 38596, 54260, 2882, 3056, 4838, 22639, 15231, 14004, 15231, 119718, 6235, 46590, 5, 564, 54260, 4838, 15231, 59919, 160238, 4113, 4151, 104149, 20033, 95298, 36324, 16175, 129071, 40697, 115374, 57973, 4838, 19302, 29766, 73381, 29766, 105235, 204067, 131002, 26612, 23741, 4, 36324, 220224, 6093, 6, 59929, 29771, 10918, 2808, 52541, 2200, 1470, 54260, 5666, 28726, 18406, 7746, 2205, 710, 65482, 36258, 6, 159696, 21295, 3056, 36324, 75230, 6, 172060, 185226, 44779, 4, 6428, 5, 506, 5, 36324, 220224, 6, 101470, 230764, 36324, 75230, 16175, 32097, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 11540, 137127, 103023, 4231, 65482, 36258, 657, 71616, 2200, 2190, 17017, 71616, 37922, 22426, 7916, 16747, 109226, 4, 27702, 21847, 54260, 4667, 163139, 220224, 905, 13845, 28320, 220224, 6, 21106, 54260, 1211, 37922, 22426, 105780, 35465, 5, 6, 64260, 1285, 37922, 22426, 7916, 16747, 109226, 4269, 54260, 12483, 3069, 6093, 29659, 40653, 95766, 6235, 94741, 20260, 2200, 4151, 113889, 4667, 6, 84577, 119718, 7682, 21295, 7746, 6, 64260, 4151, 6235, 94741, 20260, 2205, 4838, 6235, 46590, 5, 1982, 54260, 4838, 3523, 216510, 6093, 27702, 236376, 17310, 65146, 1211, 20033, 6, 57277, 39340, 3069, 8903, 18406, 36324, 16175, 129071, 710, 38596, 54260, 2882, 68313, 4838, 19302, 23964, 6235, 46590, 4, 6428, 5, 506, 5, 3373, 26, 68313, 4838, 56170, 7201, 39083, 88660, 2865, 16932, 6235, 94741, 20260, 4, 1054, 59929, 3056, 2808, 88680, 8903, 240863, 12483, 2205, 6235, 46590, 15, 165592, 75230, 4838, 68550, 119055, 77188, 1470, 75230, 4667, 9424, 79238, 119718, 905, 51723, 4151, 2865 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34533, 152185, 27702, 68566, 6293, 6, 159696, 15388, 4151, 1470, 41595, 100495, 42180, 194, 119718, 710, 2190, 107182, 14088, 4, 36324, 75230, 55242, 12483, 20033, 1470, 75230, 4667, 2205, 10676, 115556, 28726, 12984, 84087, 1211, 2200, 20315, 20260, 12483, 1285, 1285, 21106, 87442, 40697, 6, 84577, 119718, 7682, 1644, 17310, 3120, 4151, 32887, 39293, 4, 292, 3120, 10676, 2808, 171127, 710, 185226, 292, 78278, 2205, 4838, 6, 172060, 185226, 4, 119055, 905, 7369, 364, 54260, 47332, 6, 68558, 564, 92605, 63593, 23741, 3069, 119055, 53414, 103854, 220224, 1211, 4838, 50778, 18415, 39293, 4, 292, 10676, 6235, 94741, 20260, 292, 1054, 120467, 37826, 7746, 3120, 70845, 84577, 14303, 205131, 152, 2200, 1285, 3523, 54260, 4113, 15857, 194734, 39293, 4, 49027, 107581, 107776, 230764, 220224, 6093, 6, 99766, 4, 292, 2648, 120467, 6235, 46590, 292, 95455, 3056, 7243, 6319, 54260, 1211, 129165, 2865, 20315, 115222, 2932, 23405, 48350, 21660, 18415, 6319, 48775, 23741, 4, 5666, 29766, 95455, 3056, 4151, 4838, 204403, 2932, 54260, 3120, 10676, 6235, 94741, 20260, 5, 35189, 123736, 75290, 29659, 132025, 8903, 46685, 4484, 16932, 116486, 26394, 2702, 107776, 160238, 7243, 43449, 75230, 4852, 95766, 4151, 41764, 21087, 4944, 39083, 29771, 46677, 3120, 10676, 22639, 26394, 1644, 119132, 22639, 10069, 119718, 56570, 10705, 2050, 4, 133190, 7369, 23269, 63532, 6, 23173, 54260, 1211, 2205, 220224, 23269, 17824, 76632, 64213, 4269, 48904, 26394, 6319, 54260, 28320, 3120, 110167, 850, 4, 36324, 75230, 36324, 4838, 7201, 23173, 72631, 18640, 16932, 224220, 22426, 28726, 13805, 3120, 41764, 21087, 4944, 29771, 203749, 40697, 4151, 3131, 54260, 5666, 109226, 2205, 4838, 6, 149364, 4852, 68558, 37826, 1751, 75230, 1211, 174246, 190800, 13342, 101296, 12984, 56170, 16629, 2648, 65482, 6319, 75322, 33225, 2200, 40653, 240863, 1211, 4, 92500, 119055, 77188, 4838, 16175, 54260, 1644, 3120, 10676, 6235, 25222, 30750, 119132, 115556, 16667, 3496, 23173, 129071, 6093, 103854, 4151, 163139, 24152, 17310, 3120, 4838, 56170, 46545, 6093, 32887, 4944, 29171, 4, 4838, 132025, 8903, 23847, 54260, 16932, 163139, 2702, 5666, 95494, 23741, 4, 3373, 29771, 10918, 21106, 4113, 224252, 15907, 905, 42180, 2702, 4, 67882, 16932, 710, 109316, 2200, 4269, 54260, 175483, 4113, 159696, 33716, 1211, 4, 119055, 13845, 107581, 7369, 46050, 98833, 564, 142673, 506, 2200, 3069, 119055, 13845, 107581, 7369, 65146, 7746, 6, 172060, 185226, 165592, 75230, 6, 29766, 119859, 207591, 3069, 22426, 59929, 1211, 4, 15, 10069, 3069, 22426, 59929, 23964, 3056, 56170, 1982, 88917, 1211, 44064, 7265, 10676, 72841, 1211, 3120, 564, 92605, 63593, 33225, 1285, 1470, 75230, 1982, 83182, 87311, 194734, 119055, 77188, 1211, 16, 163139, 4151, 163139, 1644, 35189, 3069, 220224, 1211, 80453, 52480, 111179, 159696, 2442, 6, 118809, 2819, 15, 1644, 75230, 2882, 1285, 6235, 39293, 64213, 3120, 5332, 119718, 39083, 905, 42180, 4, 119055, 13845, 107581, 6, 84577, 234221, 3131, 75230, 1211, 2205, 7746, 6, 21106, 54260, 1211, 1285, 160238, 1982, 93704, 23174, 17310, 3120, 7369, 16870, 15907, 215726, 4, 65146, 5332, 65442, 34533, 52541, 2808, 75230, 4667, 4838, 6235, 119718, 710, 36419, 4269, 54260, 175483, 4113, 6, 142673, 506, 4, 6428, 5, 506, 5, 36324, 1285, 6235, 9221, 3131, 194734, 10184, 4852, 101328, 203749, 40697, 23822, 76632, 2442, 109226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 230764, 4838, 6235, 119718, 21292, 1211, 6235, 94114, 4, 65146, 1211, 6, 95494, 33225, 4838, 6, 56052, 22639, 6093, 192956, 204932, 204403, 30473, 42180, 3069, 6, 84577, 3131, 80453, 4113, 4944, 213952, 4113, 4269, 54260, 175483, 4113, 6, 129071, 710, 119718, 131044, 1211, 5, 1285, 1470, 75230, 2702, 44693, 2648, 17310, 84475, 9424, 79238, 16932, 17310, 3120, 36324, 13845, 107581, 56170, 48904, 17410, 2932, 109226, 3056, 3523, 40096, 9221, 44779, 137377, 506, 141847, 7682, 3120, 1285, 4838, 144532, 125897, 101251, 105235, 16747, 1211, 15, 29771, 75578, 6, 159696, 15388, 10676, 2205, 6, 47351, 4838, 83182, 4484, 71577, 710, 21338, 16, 2200, 6, 64260, 1285, 1470, 75230, 18406, 4151, 87311, 194734, 56170, 46545, 4113, 4, 4269, 54260, 175483, 4113, 119055, 77188, 1211, 83066, 16932, 1751, 75230, 1211, 6, 238144, 16932, 5, 4944, 10069, 1285, 4151, 3131, 54260, 5666, 109226, 6, 21106, 10069, 46545, 1470, 75230, 2702, 13342, 7201, 29766, 81829, 3056, 7243, 6235, 3111, 2932, 3069, 29659, 41731, 52541, 43449, 75230, 4852, 1285, 657, 123073, 3120, 41764, 21087, 4944, 39083, 29771, 46677, 4, 84475, 6, 208048, 97634, 192494, 4, 133190, 20033, 192575, 1211, 7746, 119055, 141943, 1211, 1470, 75230, 4667, 3069, 4151, 117902, 69181, 152185, 5332, 88660, 113889, 192494, 4, 3373, 29771, 10918, 39083, 29771, 46677, 2200, 183512, 123073, 3373, 29771, 10918, 21106, 4113, 163139, 2702, 5666, 95494, 23741, 1211, 4, 163139, 1644, 1285, 160238, 51723, 3120, 6235, 39293, 1644, 95494, 23741, 28726, 12984, 10837, 5666, 5, 874, 15857, 2648, 39083, 4113, 18406, 4, 6, 172060, 185226, 163139, 4151, 170791, 3120, 1285, 27702, 46464, 83182, 4113, 19302, 59929, 1211, 2200, 7213, 40920, 1211, 4, 2200, 35189, 3496, 23173, 129071, 6093, 3120, 1285, 22639, 10069, 119718, 56570, 109316, 7265, 97594, 35189, 2200, 220224, 6093, 98478, 4, 119055, 53414, 1982, 26612, 29659, 710, 63532, 37729, 1285, 5332, 88660, 113889, 2865, 40697, 101251, 105235, 16747, 1211, 2200, 37729, 1285, 117902, 69181, 40697, 7201, 23173, 506, 13845, 2882, 161829, 1211, 4, 119055, 13845, 107581, 21923, 4838, 10339, 39083, 8903, 3120, 4151, 5332, 88660, 113889, 134067, 5, 10069, 163139, 24152, 17310, 3120, 6, 64260, 1285, 5332, 88660, 113889, 2865, 40697, 4, 117902, 69181, 40697, 2200, 3373, 29771, 10918, 21106, 4113, 101251, 105235, 16747, 1211, 107776, 95298, 7243, 160238, 14856, 4944, 48904, 13456, 4, 133190, 22753, 6, 84577, 119718, 7682, 21295, 7746, 10069, 21106, 87442, 13456, 4, 37729, 10676, 115556, 16667, 41764, 21087, 4944, 39083, 29771, 46677, 2200, 3056, 6, 29766, 119859, 207591, 56170, 1982, 88917, 1211, 7265, 10676, 115556, 16667, 22639, 6093, 192956, 40653, 28726, 1982, 109226, 2819, 1285, 40653, 28726, 1982, 109226, 4, 119055, 13845, 107581, 21923, 4838, 116486, 108264, 2882, 3120, 1285, 101251, 105235, 16747, 1211, 4, 163139, 24152, 1211, 6428, 47351, 2808, 75230, 6293, 1285, 101251, 105235, 16747, 1211, 98252, 4, 56170, 192539, 213952, 1285, 10339, 54260, 6093, 2648, 125897, 2200, 56170, 119718, 710, 24152, 28726, 4944, 213952, 1285, 6, 238144, 16932, 2648, 125897, 2200, 3523, 54260, 4113, 5, 1285, 41764, 21087, 4944, 39083, 29771, 46677, 3120, 10676, 14004, 107829, 119718, 56570, 10705, 2050, 4, 163139, 3120, 1285, 4269, 48904, 26394, 6319, 54260, 28320, 3120, 110167, 850, 4, 119055, 77188, 95298, 27702, 2808, 54260, 5666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21066, 71616, 3373, 54260, 37729, 1285, 5332, 88660, 113889, 2865, 40697, 2200, 3373, 54260, 37729, 1285, 117902, 69181, 40697, 35189, 3131, 54260, 5666, 109226, 2200, 6235, 36326, 161829, 1211, 4, 133190, 2205, 1285, 6, 48775, 51723, 3120, 4151, 160751, 48775, 40920, 93497, 107581, 24621, 2200, 2205, 1285, 17824, 76632, 64213, 3120, 1285, 132025, 8903, 119718, 15533, 65482, 657, 45619, 13159, 4, 119055, 13845, 107581, 21923, 10705, 54561, 163139, 4944, 46545, 132025, 13342, 46685, 38249, 2200, 6, 113889, 95957, 22426, 52541, 4, 2200, 119055, 13845, 107581, 657, 54260, 4484, 171428, 120202, 1285, 90848, 2865, 84577, 40697, 4838, 57277, 119718, 15533, 51723, 7265, 220224, 123073, 874, 34533, 40697, 2200, 48706, 40096, 40697, 27702, 68566, 33225, 159696, 15388, 6235, 46590, 2200, 6235, 94741, 20260, 5, 905, 120467, 6, 238144, 16932, 4151, 115556, 6, 84577, 119718, 7682, 21295, 7746, 4, 199145, 28415, 7369, 564, 92605, 177148, 21106, 7611, 3523, 54260, 123073, 4151, 7201, 23173, 109226, 4, 7265, 6, 21106, 7611, 9721, 54260, 16932, 4113, 2200, 28415, 56170, 2808, 54260, 2648, 21295, 13845, 71616, 2200, 2190, 17017, 71616, 37922, 22426, 7916, 16747, 109226, 4, 6, 21106, 7611, 9915, 13845, 6093, 2200, 86510, 6093, 6, 104378, 1982, 54260, 70845, 160238, 3523, 54260, 4113, 3069, 235210, 43178, 29659, 75230, 46053, 9424, 119718, 65689, 10676, 6235, 46590, 4, 199145, 7369, 37826, 94626, 6093, 4151, 119718, 20961, 18406, 2200, 9424, 119718, 65689, 4151, 3523, 54260, 6093, 4151, 7201, 23173, 17310, 4, 10676, 3523, 54260, 46598, 6235, 94741, 20260, 5, 25207, 71804, 15231, 119718, 3069, 6, 64260, 10676, 3523, 54260, 46598, 6235, 94741, 20260, 3056, 95455, 40026, 6093, 2648, 125897, 6235, 46590, 2205, 10676, 13342, 29659, 183512, 3120, 6, 47351, 224252, 710, 185226, 5, 4151, 22753, 2932, 3120, 10676, 3523, 54260, 46598, 6235, 94741, 20260, 83066, 2882, 13342, 4838, 3523, 54260, 6093, 564, 23173, 54260, 104238, 17310, 3120, 657, 71616, 4, 2200, 112216, 24621, 44779, 4269, 54260, 2882, 4151, 3523, 54260, 6093, 8903, 94741, 20260, 40653, 2205, 4838, 3523, 54260, 6235, 46590, 5, 21106, 2702, 564, 54260, 3131, 22426, 15350, 42542, 194706, 1285, 49008, 95455, 6235, 46590, 3120, 6235, 23822, 54260, 95494, 23741, 2205, 10676, 7201, 23173, 506, 54260, 48775, 28320, 98478, 4, 6, 64260, 95455, 6235, 46590, 37826, 7746, 132025, 8903, 506, 75230, 18406, 3069, 6, 84577, 119718, 7682, 1644, 12483, 1982, 54260, 4151, 32054, 75230, 125523, 4151, 9424, 79238, 16932, 17310, 3120, 4151, 6, 80453, 52480, 111179, 119718, 88660, 2865, 9416, 16803, 152185, 8903, 39293, 1644, 95494, 23741, 4, 119055, 12483, 1285, 73095, 13805, 905, 109316, 27702, 10918, 109226, 57973, 56170, 11265, 132025, 8903, 506, 75230, 18406, 13342, 119055, 53414, 6, 21106, 7611, 1751, 159696, 2442, 6093, 2200, 101251, 35189, 186145, 2932, 192956, 2442, 2200, 22753, 37826, 6235, 192575, 2882, 46464, 12984, 4838, 1751, 85549, 2205, 4151, 364, 54260, 2442, 40096, 7265, 1470, 54260, 1211, 6, 212915, 5, 35189, 6235, 94741, 20260, 4, 36324, 37729, 4151, 2190, 17017, 71616, 3120, 220224, 1211, 130170, 8903, 119718, 29766, 33225, 10705, 13497, 6093, 4151, 49920, 95494, 23741, 3120, 1470, 54260, 1211, 6, 212915, 4, 874, 54260, 20315, 2882, 22753, 1470, 75230, 2702, 1285, 17824, 13159, 123073, 10705, 17017, 71616, 3120, 101251, 1982, 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 ]
[ 16629, 56169, 1211, 98478, 4, 4151, 6235, 94741, 20260, 36324, 236512, 11265, 5332, 88660, 113889, 2865, 152185, 2200, 67882, 16932, 17645, 44478, 162926, 4484, 54260, 2882, 4, 3056, 3523, 75230, 46545, 4838, 6235, 119718, 710, 36419, 73095, 13805, 905, 109316, 29766, 2648, 3111, 23405, 2200, 120202, 506, 141847, 7682, 54260, 2882, 4, 3056, 7265, 4151, 9424, 54260, 2882, 40653, 8903, 240863, 12483, 2205, 4838, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 8903, 46590, 3120, 6235, 23822, 54260, 95494, 23741, 4, 130170, 119055, 13845, 12984, 3373, 26, 68313, 43649, 188301, 56170, 1982, 29766, 15388, 26612, 6235, 119718, 710, 36419, 874, 151461, 56170, 10676, 6, 212915, 5, 35189, 6235, 94741, 20260, 119055, 13845, 104238, 564, 25207, 15907, 1285, 160238, 8903, 25391, 15907, 65482, 32054, 75230, 3069, 9424, 238144, 21066, 12483, 2205, 4151, 45495, 149364, 710, 29766, 131044, 3120, 10676, 6, 212915, 4, 6, 26394, 29659, 77188, 4151, 113889, 4667, 10676, 88660, 2865, 22426, 28726, 13805, 3120, 6235, 23822, 54260, 95494, 23741, 2200, 4269, 54260, 2882, 40653, 2205, 4838, 6235, 46590, 3120, 657, 53464, 29771, 18406, 6, 17645, 119132, 4, 119055, 13845, 12984, 18225, 37826, 32054, 54260, 1470, 75230, 2702, 8903, 238144, 21295, 5, 6, 64260, 4151, 3523, 54260, 6093, 21422, 21733, 44693, 20315, 2882, 4838, 21776, 119718, 39083, 905, 10918, 239162, 25207, 4838, 50778, 18415, 39293, 4, 73784, 10339, 54260, 6093, 103023, 1211, 6235, 46590, 4, 199145, 68313, 2205, 27702, 13342, 2932, 3069, 1285, 3523, 54260, 4113, 101251, 105235, 16747, 1211, 4, 4838, 30109, 135118, 192956, 2442, 224252, 710, 185226, 5, 14004, 56169, 119055, 12483, 1470, 54260, 19302, 59929, 32054, 75230, 12483, 21923, 1751, 75230, 1211, 6, 238144, 16932, 4838, 159696, 4484, 2205, 220224, 6093, 84577, 119718, 7682, 1644, 17310, 4, 107776, 6, 75322, 39083, 1470, 75230, 2702, 10676, 6235, 94741, 20260, 4, 119055, 13845, 104238, 3056, 4838, 116486, 108264, 2882, 69355, 1285, 3523, 54260, 4113, 4151, 7201, 23173, 109226, 3069, 115222, 2865, 33225, 7265, 10676, 6235, 46590, 3120, 7243, 7201, 23173, 3111, 217814, 123329, 3944, 30750, 4, 119055, 13845, 107581, 235466, 123736, 23741, 6, 68558, 4838, 9424, 79238, 16932, 6093, 40697, 6, 120749, 17310, 4, 119718, 710, 7265, 6, 47351, 123736, 1982, 8903, 29659, 48904, 65482, 2050, 224252, 710, 185226, 4, 199145, 43649, 77188, 84087, 115374, 2205, 4852, 54260, 6093, 6319, 75322, 6293, 56170, 4838, 3523, 54260, 6093, 123736, 38054, 3111, 23405, 7265, 4838, 3373, 4667, 9721, 54260, 16932, 4113, 178748, 28726, 4944, 4484, 54260, 28320, 4, 144754, 4838, 3373, 4667, 7508, 54260, 104238, 4113, 17190, 1982, 16667, 160238, 51723, 2200, 10339, 54260, 59461, 4113, 4, 86510, 123073, 9181, 80885, 2865, 22426, 7916, 16747, 109226, 5, 2702, 26, 8903, 7916, 49008, 7746, 1751, 75230, 1211, 1470, 75230, 4667, 36324, 13845, 107581, 4, 199145, 21923, 564, 54260, 8903, 3131, 57277, 49008, 6, 64260, 20315, 2050, 6319, 75322, 6293, 4, 564, 54260, 6, 159696, 51723, 3373, 26, 506, 64260, 7746, 1751, 75230, 1211, 6235, 95494, 33225, 4838, 3523, 54260, 6235, 46590, 4, 95455, 8903, 46590, 3120, 3373, 29771, 10918, 21106, 6093, 147582, 40920, 4, 236512, 119055, 13845, 12984, 3373, 26, 4484, 177148, 220224, 1751, 75230, 1211, 28415, 219947, 1470, 75230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 44064, 3069, 115222, 2865, 33225, 7265, 220224, 6093, 3944, 30750, 6235, 46590, 4, 220224, 120202, 59919, 1211, 4151, 144754, 2702, 204403, 13497, 47351, 4, 119055, 12483, 3373, 26, 68313, 6, 23173, 3523, 75230, 46545, 5, 119718, 710, 20033, 57973, 6235, 39293, 12483, 3056, 95455, 120202, 2882, 54260, 67873, 95455, 6235, 46590, 3120, 10676, 8903, 94741, 20260, 163139, 2702, 5666, 95494, 23741, 44779, 7243, 27702, 68566, 16747, 29060, 4, 95455, 1470, 54260, 2932, 65482, 3056, 1470, 75230, 4667, 7265, 20315, 2050, 120202, 2882, 54260, 67873, 4, 3373, 54260, 95455, 6235, 46590, 2200, 3373, 54260, 10676, 6235, 94741, 20260, 3120, 4151, 16175, 40096, 5, 35189, 6, 120749, 123329, 27702, 119718, 71616, 4852, 54260, 1211, 3056, 133190, 2205, 4151, 1285, 76776, 2865, 152185, 56170, 12890, 16747, 17310, 2200, 2205, 10676, 40653, 240863, 3120, 10676, 6235, 94741, 20260, 2205, 6235, 46590, 2200, 2205, 16175, 40096, 5, 172060, 185226, 163139, 27702, 159696, 2932, 17310, 3056, 6, 47351, 2190, 112595, 23173, 2865, 54260, 2648, 192956, 160238, 1982, 93704, 23174, 17310, 132, 80453, 4113, 189098, 16, 56170, 1285, 1285, 21106, 87442, 40697, 6235, 39293, 64213, 4, 36324, 75230, 3056, 16175, 40096, 4838, 2190, 112595, 23173, 2865, 54260, 2648, 192956, 160238, 1982, 93704, 54260, 17310, 4, 56170, 4151, 6, 84577, 119718, 7682, 1644, 17310, 3120, 10676, 115556, 16667, 41764, 21087, 4944, 39083, 29771, 46677, 4, 2200, 1285, 101251, 1982, 93704, 23174, 18415, 34482, 170355, 107581, 56170, 10676, 40653, 240863, 3120, 10676, 2808, 171127, 710, 185226, 2205, 6235, 94741, 20260, 4, 2200, 3120, 10676, 6235, 94741, 20260, 2205, 6235, 46590, 5, 17645, 20315, 3523, 54260, 4113, 48706, 93704, 17645, 2205, 10676, 115556, 28726, 12984, 4269, 54260, 16803, 119055, 77188, 56170, 63864, 170355, 40920, 103854, 4151, 16175, 40096, 2200, 42542, 4838, 83182, 3131, 6319, 54260, 5666, 2865, 39083, 7243, 160238, 104378, 4, 4151, 7201, 23173, 119718, 120467, 1285, 16175, 40096, 56170, 1982, 41595, 1285, 22639, 6093, 192956, 40653, 28726, 1982, 17310, 7265, 4151, 1470, 75230, 101608, 192956, 2442, 101251, 8903, 1982, 17310, 2200, 56170, 192539, 2882, 564, 54260, 20315, 37729, 6, 64260, 4151, 56170, 12890, 16747, 17310, 5, 113889, 4667, 10676, 199145, 1285, 16175, 40096, 107776, 4838, 75386, 4838, 116486, 108264, 2882, 3120, 10676, 22639, 6093, 44779, 2808, 88680, 8903, 28726, 47332, 1211, 116486, 26394, 2702, 4, 56170, 192539, 2882, 22753, 1285, 1470, 75230, 101608, 192956, 123736, 12890, 87442, 1211, 4, 2200, 159696, 33716, 37729, 4151, 123736, 12890, 87442, 710, 159696, 2442, 6, 159696, 21295, 6, 21106, 54260, 1211, 56170, 192539, 2882, 5, 13307, 3523, 5, 874, 15857, 2648, 29771, 21106, 2702, 4838, 56170, 192539, 16932, 116486, 108264, 2882, 4, 56170, 192539, 2882, 22753, 6, 238144, 16932, 1285, 1470, 4113, 6093, 192956, 4, 4269, 54260, 175483, 4113, 116486, 26394, 46053, 2205, 10676, 115374, 5, 10069, 16175, 40096, 199145, 3056, 4838, 15857, 194734, 39293, 21776, 71804, 15231, 119718, 3069, 4151, 163139, 24152, 25603, 199145, 4852, 5, 1470, 75230, 101608, 192956, 101251, 105235, 16747, 1211, 9213, 18406, 1470, 75230, 2702, 230764, 10676, 17190, 30750, 103023, 1211, 123736, 48974, 48904, 78653, 92500, 21776, 71804, 15231, 119718, 3069, 1285, 3373, 47912, 199145, 57973, 6, 23173, 75230, 2702, 8903, 225164, 220224, 1211, 657, 4, 2882, 84475 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10705, 17017, 71616, 4, 3056, 21776, 71804, 15231, 119718, 3069, 4151, 115556, 192956, 2442, 37922, 22426, 105780, 29257, 5, 5, 6, 47351, 4838, 50778, 18415, 39293, 4, 2200, 21776, 71804, 15231, 119718, 3069, 4151, 24012, 6093, 101251, 8903, 1982, 17310, 4, 230764, 119055, 13845, 104238, 22753, 163139, 2442, 20911, 72631, 7682, 4, 4838, 32887, 39293, 5, 103854, 1285, 4838, 144532, 125897, 6, 84577, 15907, 48350, 13159, 1054, 77188, 1285, 16175, 40096, 56170, 192539, 2882, 4, 2200, 10069, 15857, 194734, 39293, 199145, 107776, 4151, 69355, 292, 1285, 4151, 7201, 23173, 109226, 199145, 21923, 6235, 119718, 710, 49008, 8903, 119718, 29766, 1211, 3120, 29434, 75230, 46053, 4, 119055, 77188, 4838, 4838, 50778, 18415, 39293, 3069, 4151, 5332, 65442, 34533, 9221, 188301, 6093, 2808, 71512, 119718, 710, 29171, 82576, 123736, 38054, 3111, 23405, 4, 119055, 13845, 107581, 65146, 564, 92605, 63593, 23741, 2200, 56170, 192539, 2882, 119055, 53414, 95766, 10676, 115374, 5, 35189, 1285, 21106, 87442, 152185, 116486, 26394, 2702, 3120, 10676, 115556, 28726, 12984, 4269, 54260, 16803, 4, 4151, 2808, 88680, 240863, 3120, 10676, 224252, 710, 185226, 2205, 6235, 94741, 20260, 4, 2200, 3120, 10676, 6235, 94741, 20260, 95766, 6235, 46590, 4, 620, 34533, 2205, 7746, 1470, 54260, 1211, 6, 19721, 5, 37922, 22426, 7916, 16747, 17310, 292, 32887, 39293, 5, 5442, 16175, 40096, 15, 2648, 120467, 21776, 26612, 2932, 52541, 230764, 10676, 21776, 21066, 4113, 13805, 16, 292, 4838, 50778, 18415, 39293, 28705, 2200, 1285, 6235, 119718, 33104, 65482, 4151, 7201, 23173, 905, 148346, 292, 1285, 219044, 36419, 39293, 4, 199145, 105235, 21295, 7265, 7746, 160238, 10676, 6235, 94741, 20260, 5, 35189, 6235, 94741, 20260, 4, 163139, 35189, 4, 119055, 13845, 104238, 9213, 21776, 71804, 15231, 119718, 3069, 10676, 224252, 710, 185226, 47351, 4838, 50778, 18415, 39293, 4, 16175, 54260, 21295, 7746, 3120, 220224, 1211, 220224, 2882, 2205, 6, 19721, 5, 6235, 94741, 20260, 292, 32887, 39293, 5, 5442, 16175, 40096, 292, 4838, 50778, 18415, 39293, 28705, 2200, 1285, 6235, 119718, 33104, 65482, 22639, 15231, 2865, 131044, 2200, 6235, 119718, 75230, 5927, 54260, 2882, 3069, 4838, 6235, 14303, 46053, 13342, 29659, 183512, 4, 292, 1285, 15857, 194734, 39293, 292, 95455, 6235, 46590, 4, 6, 29766, 3523, 54260, 6093, 224252, 710, 185226, 5, 2648, 120467, 6235, 46590, 16175, 54260, 21295, 7746, 6, 238144, 16932, 2205, 6, 19721, 5, 6235, 46590, 292, 32887, 39293, 5, 5442, 16175, 40096, 292, 4838, 50778, 18415, 39293, 28705, 2200, 1285, 3523, 54260, 4113, 4151, 7201, 23173, 17310, 4, 292, 1285, 6, 238144, 16932, 2648, 125897, 15857, 194734, 39293, 292, 4151, 5666, 54260, 6093, 6235, 94741, 20260, 5, 10069, 6, 84577, 119718, 7682, 1644, 17310, 3120, 4151, 115556, 192956, 2442, 41764, 21087, 4944, 39083, 29771, 46677, 3056, 36324, 75230, 4838, 68550, 8903, 97594, 12984, 3069, 4151, 27702, 159696, 2932, 17310, 3120, 1285, 4838, 97634, 51723, 2205, 7508, 75230, 2050, 5, 172060, 185226, 163139, 1285, 27702, 159696, 2932, 17310, 3120, 1285, 4838, 97634, 51723, 620, 34533, 1470, 54260, 1211, 2205, 7746, 1285, 1982, 26612, 159696, 2932, 17310, 3120, 895, 87442, 90848, 49008, 2205, 6, 17645, 35465, 4838, 97634, 2050, 27702, 46464, 83182, 4, 36324, 75230, 620, 34533, 17645, 35189, 16175, 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 ]
[ 1644, 3120, 4838, 1285, 21106, 87442, 152185, 73095, 144295, 2205, 7746, 1470, 54260, 1211, 27702, 46464, 83182, 16870, 710, 21106, 87442, 40697, 116486, 26394, 46053, 5, 17645, 35189, 123736, 12890, 87442, 4, 199145, 1285, 13497, 43449, 75230, 4852, 4838, 75386, 32887, 39293, 4, 21422, 133190, 4838, 75386, 6, 84577, 69031, 1285, 21106, 37016, 150541, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 5684, 18415, 39293, 4, 84475, 43449, 75230, 4852, 4838, 75386, 15857, 194734, 39293, 2205, 6, 47351, 132025, 8903, 3111, 24621, 119132, 116486, 26394, 2702, 4, 3056, 2205, 47351, 88771, 7243, 6319, 54260, 1211, 48706, 40096, 40697, 4, 56170, 97594, 159696, 2442, 18415, 4838, 50778, 18415, 39293, 4, 2200, 7243, 4484, 54260, 1211, 27702, 29659, 188301, 4113, 15857, 194734, 39293, 4, 133190, 148932, 16175, 54260, 1644, 119055, 77188, 6, 238144, 16932, 1470, 54260, 150839, 21106, 1982, 7746, 4838, 105330, 1470, 54260, 23405, 29060, 54260, 21295, 2205, 32887, 39293, 4, 4838, 50778, 18415, 39293, 2200, 15857, 194734, 39293, 4, 2200, 21106, 4113, 220224, 23269, 6, 40633, 16932, 2648, 125897, 16175, 54260, 67873, 6, 84577, 234221, 2205, 7746, 3523, 54260, 4113, 32887, 4852, 13159, 4, 6, 84577, 15907, 48350, 13159, 2200, 3373, 41595, 48350, 13159, 5, 2808, 75230, 4667, 21776, 71804, 15231, 119718, 3069, 1285, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 15, 2648, 120467, 364, 54260, 16803, 21776, 71804, 15231, 119718, 13342, 221895, 4151, 3131, 54260, 74774, 12483, 16, 3056, 148932, 4151, 3131, 54260, 74774, 6, 75322, 39083, 4838, 32887, 39293, 4, 75322, 39083, 6, 47351, 4838, 50778, 18415, 39293, 4, 6, 75322, 39083, 4838, 15857, 194734, 39293, 5, 165592, 75230, 163139, 1285, 56170, 12890, 16747, 17310, 3120, 76961, 123736, 12890, 87442, 1211, 2205, 7508, 75230, 2050, 107776, 160238, 95766, 4838, 3069, 29659, 183512, 3120, 2190, 28714, 75230, 29111, 6093, 28726, 12984, 147582, 46053, 4, 1285, 13497, 148932, 4151, 3131, 54260, 3111, 23405, 21106, 2702, 4838, 32887, 39293, 56170, 4838, 138980, 188301, 6093, 4151, 3131, 54260, 3111, 23405, 4, 1470, 54260, 57619, 54260, 46545, 4838, 75386, 6, 47351, 84577, 710, 18415, 39293, 56170, 4838, 40026, 6093, 2648, 123329, 4151, 3131, 54260, 3111, 23405, 4, 2200, 4838, 75386, 4838, 15857, 194734, 39293, 21776, 71804, 15231, 119718, 13342, 4838, 125523, 10339, 54260, 6093, 2648, 123329, 1470, 2808, 5, 119718, 5, 6, 5, 6, 5, 2702, 54260, 119055, 12483, 3373, 26, 905, 54260, 4852, 2882, 7746, 194706, 1470, 75230, 2702, 36324, 4151, 115556, 192956, 2442, 27702, 119718, 71616, 4852, 54260, 1211, 506, 64260, 6, 109995, 34482, 3131, 22426, 84662, 6, 146831, 87442, 2205, 10676, 6235, 94741, 20260, 4, 3373, 54260, 1054, 12483, 18367, 874, 54260, 49008, 165592, 4838, 6235, 119718, 710, 36419, 16175, 40096, 107776, 124724, 87442, 3120, 10676, 6235, 46590, 4, 21923, 220224, 4, 2205, 6, 47351, 137127, 4, 43649, 188301, 116486, 108264, 28320, 3120, 10676, 55242, 22849, 1211, 116486, 26394, 2702, 3120, 4151, 22639, 6093, 192956, 2442, 1285, 21106, 87442, 152185, 6, 84577, 119718, 7682, 1644, 17310, 2200, 3120, 10676, 2190, 112595, 23173, 2865, 54260, 2648, 28726, 12984, 2808, 88680, 240863, 3120, 22639, 6093, 192956, 2442, 40653, 28726, 1982, 17310, 3069, 1470, 75230, 101608, 192956, 2442, 56170, 119718, 710, 24152, 28726, 4944 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17310, 4, 2200, 37729, 1470, 75230, 101608, 192956, 2442, 4151, 7201, 23173, 905, 5, 3069, 22639, 6093, 192956, 2442, 3069, 22426, 59929, 17310, 92500, 56170, 7201, 39083, 88660, 2865, 17310, 5, 1982, 54260, 4838, 6, 120749, 123329, 6093, 27702, 236376, 17310, 51678, 20033, 55242, 12483, 4, 163139, 4151, 116486, 1644, 29060, 23173, 152185, 27702, 119718, 71616, 4852, 54260, 1211, 564, 54260, 22639, 18415, 186461, 35596, 1211, 2200, 56170, 16629, 2648, 65482, 22639, 10069, 119718, 15435, 119718, 36258, 4, 1054, 120467, 1751, 57277, 51723, 3120, 10676, 6319, 71577, 15907, 21106, 34533, 65689, 84475, 174538, 21733, 59929, 4, 4852, 54260, 6093, 364, 59929, 73784, 1470, 54260, 8903, 119132, 19302, 59929, 2200, 220224, 6093, 3069, 29659, 54260, 12483, 73784, 6, 183512, 53414, 4, 3069, 20315, 2050, 130170, 13982, 93449, 1211, 19302, 59929, 4, 1054, 13159, 17806, 20911, 1470, 75230, 101608, 44779, 1470, 75230, 2702, 163139, 4838, 124724, 87442, 6093, 80453, 142429, 905, 20911, 3120, 10676, 18895, 4, 107776, 2205, 6, 47351, 88771, 3120, 10676, 1054, 120467, 220224, 57973, 63593, 22426, 105780, 35465, 6, 149364, 4852, 43178, 192956, 101251, 12666, 119364, 4, 49027, 107581, 1751, 57277, 51723, 3120, 220224, 123073, 22639, 10069, 119718, 56570, 109316, 192183, 21066, 93449, 1211, 7265, 6, 64260, 10676, 19302, 59929, 2200, 3120, 4838, 6, 149364, 4852, 43178, 192956, 38054, 77363, 23173, 87311, 142170, 7265, 70845, 4, 95455, 37826, 220224, 1470, 75230, 4667, 6235, 29659, 75230, 46053, 73784, 9424, 238144, 28320, 21733, 59929, 5, 64260, 1285, 1285, 21106, 87442, 40697, 6, 84577, 119718, 7682, 1644, 17310, 3120, 10676, 115556, 16667, 41764, 21087, 4944, 39083, 29771, 46677, 35189, 21733, 77188, 194706, 230764, 4838, 192183, 25616, 213783, 185527, 2200, 7265, 4838, 6, 46053, 1470, 54260, 179561, 506, 54260, 28320, 20315, 2050, 163139, 2702, 5666, 95494, 23741, 28726, 12984, 6235, 39293, 7611, 4, 36324, 95455, 220224, 1211, 27702, 29659, 710, 63532, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 4, 905, 13845, 104238, 3056, 45521, 16803, 190135, 6235, 905, 53414, 37729, 4151, 874, 23173, 13805, 34533, 152185, 18415, 29766, 17645, 4, 2200, 119055, 13845, 104238, 119055, 77188, 43649, 188301, 6, 40096, 92605, 54196, 37729, 1285, 115222, 2932, 59461, 4, 199145, 13458, 171428, 123736, 23741, 4838, 75386, 192183, 2882, 48775, 1982, 26612, 238144, 10676, 131086, 29659, 1211, 10339, 129071, 4, 36324, 1285, 14604, 5666, 5, 874, 15857, 127731, 167351, 41595, 13845, 93975, 69106, 107776, 7243, 37729, 10676, 220224, 1211, 3069, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 4, 15, 119718, 710, 95455, 119718, 39083, 2882, 6235, 192575, 2882, 220224, 1211, 4, 657, 75230, 2882, 163139, 8947, 29434, 23174, 2882, 6, 203749, 13456, 6, 23173, 75230, 2702, 3120, 4151, 874, 23173, 13805, 34533, 152185, 32887, 29766, 17645, 16, 133190, 4, 657, 75230, 2882, 220224, 6093, 874, 54260, 3111, 23405, 4, 107776, 22753, 220273, 56170, 75290, 2882, 4, 103854, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 3069, 4838, 27702, 29659, 52480, 28320, 220224, 1211, 5, 64260, 1285, 115222, 2932, 59461, 564, 165592, 52541, 220224, 123073, 160238, 119718, 14303, 33225, 230764, 6, 47351, 1470, 75230, 1982, 22492, 75230, 69096, 1211, 1982, 26612, 29771, 1982, 26612, 40920, 1211, 2200, 220224, 56170, 98055, 1211, 4151, 1982, 54260, 10676, 101251, 29659, 183512, 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 ]
[ 36324, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 4, 119718, 120467, 27702, 29659, 710, 63532, 6, 57277, 39340, 95455, 6, 238144, 16932, 2648, 125897, 220224, 1211, 4, 3056, 6, 21106, 54260, 1211, 56170, 63864, 170355, 40920, 103854, 4838, 10339, 54260, 6093, 103023, 1211, 28415, 67882, 16932, 17645, 67873, 2200, 6, 80453, 52480, 111179, 119718, 1211, 220224, 1211, 4, 95455, 364, 54260, 16803, 4, 103854, 1285, 1751, 75230, 1211, 190800, 8903, 28726, 1982, 18415, 657, 71616, 2200, 2190, 17017, 71616, 37922, 22426, 7916, 16747, 109226, 4, 37729, 94626, 6093, 6235, 119718, 33104, 65482, 4151, 7201, 23173, 109226, 1470, 5, 64567, 119718, 5, 10069, 123736, 12890, 87442, 710, 159696, 5332, 88660, 113889, 2865, 40697, 101251, 105235, 16747, 1211, 4, 119055, 13845, 107581, 6, 95494, 33225, 4838, 364, 23173, 87311, 7511, 21660, 119718, 65689, 1285, 117578, 13159, 1211, 2200, 1751, 186145, 1982, 109226, 3120, 1285, 7265, 97594, 35189, 4, 199145, 27702, 71804, 183216, 3069, 10676, 19302, 59929, 4, 6, 159696, 51723, 3373, 26, 8903, 506, 77188, 1285, 3069, 17494, 217814, 4, 6, 95494, 33225, 1470, 75230, 4667, 10676, 88660, 13497, 129071, 9424, 119718, 65689, 6, 64260, 10676, 1470, 119718, 122978, 101503, 21733, 59929, 4, 2200, 9424, 119718, 65689, 4231, 65482, 19302, 59929, 1211, 4, 119718, 120467, 1285, 49008, 4838, 75386, 21776, 168155, 119718, 1211, 2205, 10676, 6235, 2865, 54260, 5666, 235210, 12483, 6319, 75322, 6293, 56170, 4838, 216333, 123073, 65442, 710, 80885, 69106, 2819, 1285, 207013, 5332, 88660, 113889, 2865, 40697, 101251, 105235, 16747, 1211, 6, 95494, 33225, 1470, 75230, 4667, 4838, 6, 204932, 232187, 16667, 95766, 1285, 7508, 54260, 12483, 3120, 10676, 115222, 2932, 59461, 65689, 4, 130170, 2932, 54260, 188301, 1211, 19302, 59929, 4, 2200, 1285, 27702, 46464, 83182, 4113, 4, 28415, 10339, 39083, 88660, 2865, 65482, 2200, 17190, 1982, 16667, 55823, 2808, 125897, 7265, 97594, 35189, 4, 199145, 7508, 54260, 46053, 4852, 18167, 120202, 3120, 70845, 4, 220224, 43649, 54260, 12483, 3069, 2200, 6, 226112, 15388, 564, 54260, 3069, 1285, 174538, 12483, 3120, 6319, 75322, 6293, 69355, 10676, 19302, 59929, 4, 119055, 13845, 104238, 3056, 4151, 6, 186145, 61397, 3120, 1285, 3523, 54260, 4113, 1470, 88945, 21106, 1211, 5, 13342, 7972, 1982, 4151, 74806, 119718, 710, 213952, 54260, 2882, 2200, 6, 84577, 119718, 7682, 21295, 4484, 54260, 2882, 3120, 10676, 22639, 18415, 186461, 35596, 2702, 6428, 135118, 17310, 2702, 15857, 80885, 24621, 2200, 236512, 4151, 163825, 17310, 4, 199145, 7369, 564, 92605, 177148, 46685, 16803, 13497, 54260, 1644, 4, 119055, 53414, 220224, 23269, 4151, 7201, 23173, 109226, 9915, 13845, 6093, 6235, 101296, 40920, 2200, 220224, 1211, 6235, 94741, 20260, 19302, 29766, 6093, 1470, 75230, 2702, 8903, 13982, 905, 20911, 5, 7369, 6319, 68558, 95298, 133190, 241662, 364, 54260, 46053, 80453, 39083, 29060, 23173, 13456, 27702, 119718, 71616, 30473, 29171, 4, 119055, 12483, 6, 64260, 4151, 6235, 94741, 20260, 4269, 54260, 2882, 1470, 75230, 4667, 40653, 2205, 8903, 46590, 4, 119055, 12483, 7369, 364, 75230, 47332, 6, 68558, 155787, 35596, 42733, 31623, 52541, 220224, 23269, 6, 149364, 4852, 43178, 192956, 1751, 186145, 1982, 109226, 144754, 1285, 116486, 1644, 29060, 23173, 40697, 1470, 88945, 21106, 1211, 4, 2200, 119055, 12483, 7369, 3056, 17824, 54260 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 3069, 6, 101470, 6, 47351, 129071, 710, 119718, 1211, 132025, 2882, 54260, 1644, 2205, 4151, 56170, 119718, 710, 24152, 28726, 4944, 17310, 3120, 4151, 116486, 1644, 29060, 23173, 152185, 13342, 17494, 217814, 5, 35189, 206994, 6093, 4, 163139, 35189, 4, 199145, 10184, 21295, 224252, 710, 185226, 710, 119718, 10676, 364, 59929, 73784, 4484, 71577, 15907, 21106, 34533, 65689, 19302, 59929, 4, 119055, 13845, 104238, 3056, 56170, 70845, 1285, 6319, 159696, 28726, 3120, 2190, 28714, 75230, 29111, 6093, 192956, 2442, 2190, 17017, 71616, 4, 2200, 1285, 3944, 30750, 3069, 220224, 1211, 19302, 59929, 130170, 13982, 710, 146873, 4, 119718, 905, 7369, 10184, 21295, 4838, 67826, 26394, 4, 7369, 163139, 35189, 4, 364, 54260, 16803, 27702, 119718, 71616, 30473, 29171, 7369, 29659, 241662, 4, 159696, 1211, 7369, 364, 75230, 47332, 6, 68558, 56170, 29659, 54260, 1211, 1285, 4838, 122868, 63593, 54260, 23269, 3373, 29771, 10918, 21106, 4113, 6, 71804, 8903, 2200, 3056, 23847, 54260, 2882, 3069, 120202, 59919, 1211, 2205, 10676, 6319, 75322, 6293, 7265, 1285, 130170, 13982, 123329, 220224, 1211, 6, 87311, 96302, 48904, 4113, 657, 71616, 4, 236512, 220224, 59461, 4, 220224, 23269, 114955, 2702, 2200, 6, 75322, 39083, 43449, 75230, 4852, 236512, 220224, 1211, 21733, 59929, 26, 2702, 1751, 109636, 16932, 2648, 123329, 6319, 39083, 120467, 21106, 6093, 657, 71616, 3120, 27702, 22680, 54260, 2808, 17310, 5, 35189, 13342, 3056, 3523, 75230, 46545, 4838, 43649, 23173, 39340, 160238, 105235, 1644, 17310, 2702, 6319, 48775, 23741, 4, 4838, 6235, 94741, 20260, 4, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 18197, 159696, 1644, 104238, 37826, 1285, 45521, 2808, 7682, 54260, 2882, 3069, 6, 59929, 29771, 10918, 2808, 52541, 4, 2200, 37729, 119055, 13845, 12984, 3373, 26, 119718, 53414, 23173, 75230, 2702, 8903, 225164, 4838, 230595, 2702, 657, 71616, 47833, 4838, 89979, 67873, 3069, 6, 95494, 33225, 4838, 3523, 54260, 4113, 123736, 38054, 3111, 23405, 5, 120467, 4151, 6235, 94741, 20260, 4269, 54260, 2882, 7265, 4151, 9424, 54260, 2882, 40653, 2205, 10676, 6235, 46590, 3120, 2702, 29771, 10918, 21106, 6093, 6, 61397, 91595, 7682, 54260, 2882, 5, 35189, 6235, 94741, 20260, 3056, 95298, 7243, 6235, 3111, 2932, 6, 84577, 119718, 7682, 21295, 4, 1285, 160238, 105235, 1644, 17310, 219947, 6235, 3111, 2932, 564, 160022, 4, 1470, 75230, 1982, 22753, 4269, 54260, 2882, 7243, 40653, 2205, 6235, 46590, 5, 95455, 6235, 46590, 4, 119718, 710, 35189, 4, 65146, 40653, 2932, 54260, 1211, 2205, 16175, 40096, 4, 6, 172060, 185226, 163139, 564, 54260, 4838, 1751, 97634, 4667, 2205, 6, 223390, 6093, 4, 192575, 18225, 4838, 159696, 4484, 42180, 1211, 1285, 364, 84577, 4, 36324, 7243, 3056, 95455, 6319, 54260, 1211, 6235, 46590, 7243, 5, 13159, 5332, 65442, 34533, 54196, 7243, 6319, 54260, 1211, 6319, 21106, 16932, 6235, 94741, 20260, 4, 6, 238144, 1644, 4151, 88771, 6093, 4, 219947, 874, 34079, 29659, 152185, 4, 17190, 1982, 16870, 123329, 6235, 94741, 20260, 65146, 40653, 2932, 54260, 1211, 2205, 6235, 46590, 5, 2702, 26, 4113, 65442, 34533, 54196, 1470, 75230, 4667, 7243, 6319, 54260, 1211, 112216, 21087, 119718, 4, 101251, 1982, 23173, 4113, 4944, 13497, 2200, 107020, 119859, 57619, 1211, 219947, 27702, 119718 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 71616, 30473, 29171, 6235, 46590, 4, 6, 238144, 1644, 95455, 6, 120749, 125897, 6235, 46590, 3056, 4838, 116486, 108264, 2882, 69355, 4838, 6235, 94741, 20260, 44779, 190800, 8903, 39340, 112595, 28320, 2200, 27702, 506, 6093, 29659, 1211, 224252, 710, 185226, 4, 15, 35189, 10705, 194734, 93509, 15435, 9424, 119718, 65689, 10676, 224252, 710, 185226, 4, 119055, 13845, 104238, 6, 105235, 21295, 7265, 7746, 1751, 75230, 1211, 7201, 29766, 4838, 46711, 43178, 54196, 1211, 21776, 21066, 4113, 13805, 4, 2200, 9424, 119718, 65689, 10676, 6235, 46590, 4, 27702, 29659, 54260, 2882, 123736, 23741, 506, 75230, 22426, 2882, 39293, 4944, 44779, 2205, 10676, 1054, 120467, 1285, 6, 84577, 119718, 7682, 1644, 17310, 3120, 10676, 224252, 710, 185226, 56170, 75290, 149364, 2882, 7265, 7746, 28415, 16803, 13497, 54260, 75386, 10676, 116486, 108264, 2882, 3120, 21776, 71804, 15231, 119718, 28415, 25207, 195054, 195164, 125897, 40653, 3149, 168155, 109226, 4, 2205, 4151, 9424, 54260, 2882, 119055, 12483, 95455, 6235, 46590, 3056, 35189, 21776, 124740, 2882, 40096, 3120, 4838, 28415, 224220, 22426, 7972, 138194, 28320, 22639, 6093, 28726, 12984, 6319, 75322, 6293, 3120, 115222, 2932, 5666, 170355, 64213, 194, 95455, 3056, 4838, 56170, 7201, 54260, 59461, 16932, 224252, 710, 185226, 4, 199145, 37826, 40653, 139449, 10069, 43649, 23173, 178674, 54260, 2882, 2200, 6, 150349, 171433, 57277, 20260, 54260, 2882, 3120, 10676, 7369, 29659, 1211, 224252, 710, 185226, 4, 3373, 26, 192575, 35189, 7201, 23173, 6, 172060, 185226, 163139, 4231, 114436, 40653, 2932, 54260, 12483, 2205, 16175, 40096, 5, 95766, 115222, 2932, 5666, 7201, 21106, 3056, 95455, 6235, 46590, 4838, 116486, 108264, 2882, 3120, 1751, 119718, 107581, 4, 120202, 61397, 16011, 65482, 63593, 22426, 7916, 16747, 109226, 4, 119055, 13845, 107581, 57973, 7243, 27702, 119718, 15533, 1211, 6, 23173, 75230, 2702, 13342, 225164, 6319, 54260, 1211, 19302, 29766, 73381, 29766, 105235, 1644, 17310, 2819, 1285, 192183, 20315, 16667, 9221, 18415, 5332, 87311, 42180, 2702, 21923, 36324, 75230, 4838, 68550, 3069, 43449, 54260, 4667, 4, 92500, 4151, 163139, 67873, 4, 119055, 13845, 104238, 3056, 4838, 116486, 108264, 2882, 3120, 4151, 160238, 105235, 1644, 17310, 2702, 6319, 48775, 23741, 4, 172060, 185226, 163139, 4151, 6, 80453, 52480, 111179, 159696, 2442, 21776, 21066, 4113, 13805, 3056, 4838, 116486, 108264, 2882, 3120, 4151, 79761, 87442, 6093, 2007, 21776, 92605, 42180, 4, 4838, 24377, 26612, 104238, 5, 35189, 71180, 23741, 105235, 44478, 7369, 5666, 155073, 6, 87311, 21295, 874, 54260, 82576, 506, 145702, 7682, 2205, 220224, 1211, 6, 229340, 37271, 29171, 39083, 54260, 58571, 25491, 119718, 155, 4838, 115374, 199145, 3056, 107020, 119859, 57619, 1211, 137, 4484, 21106, 16932, 6235, 94741, 20260, 2004, 6093, 6, 238144, 4852, 2882, 163139, 36324, 75230, 4151, 81444, 4852, 123329, 115556, 4, 37826, 2205, 7746, 4151, 29659, 93449, 92500, 27702, 506, 6093, 29659, 76961, 224252, 710, 185226, 1211, 2200, 73095, 50778, 96302, 1211, 5, 163139, 46590, 119055, 23173, 710, 74813, 54260, 2882, 105235, 20911, 95298, 130170, 6, 64260, 1285, 6319, 21106, 18415, 6235, 94741, 20260, 12483, 4, 163139, 46590, 3523, 54260, 4113, 6235, 46590, 1211, 5, 95766, 1285, 16175, 55049, 65482, 32887, 29766, 29060, 40697, 1470, 75230, 2702, 25207, 30741, 109226, 3120, 67882, 24152, 46053, 2200, 2205, 1644, 76632 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16667, 137, 4484, 21106, 18415, 6, 203749, 40697, 6, 208048, 7972, 56880, 155, 6, 105235, 38249, 4838, 3373, 4667, 86510, 123073, 6235, 46590, 1211, 4, 163139, 95766, 1285, 73095, 50778, 96302, 21106, 4113, 6, 95494, 7201, 109226, 3120, 4838, 3373, 4667, 6319, 171127, 44478, 4, 657, 9221, 123329, 2200, 1982, 109316, 65848, 119364, 5, 35189, 6319, 75322, 6293, 9424, 119718, 65689, 6235, 46590, 2200, 6235, 94741, 20260, 3056, 2205, 6, 47351, 88771, 4151, 6319, 75322, 6293, 16028, 5666, 5, 874, 15857, 2648, 29771, 8300, 119718, 65689, 1285, 6, 21106, 18415, 2200, 3523, 54260, 4113, 6235, 46590, 1211, 5, 35189, 6235, 94741, 20260, 3056, 4151, 40653, 240863, 4, 1285, 6, 216501, 152, 163139, 148932, 40653, 240863, 4, 3056, 7369, 85596, 29025, 44779, 4, 37729, 220224, 1211, 657, 54260, 16932, 17310, 2702, 10339, 54260, 6093, 3056, 95298, 27909, 4944, 8903, 119859, 710, 12483, 10676, 163139, 50853, 16667, 55242, 22849, 16803, 35189, 506, 186955, 17310, 2702, 224252, 710, 185226, 2200, 37826, 35189, 23847, 54260, 40920, 78278, 1285, 6235, 46590, 1211, 3120, 10213, 23093, 29771, 119718, 16667, 3523, 54260, 13497, 6093, 177157, 7201, 171433, 17645, 4, 78278, 6, 196332, 46590, 1211, 4, 199145, 119055, 53414, 1470, 75230, 2702, 8903, 13982, 905, 20911, 2205, 10676, 71180, 135469, 13845, 6093, 34076, 142429, 88660, 24244, 229340, 137, 26394, 96302, 155, 37729, 220224, 1211, 45223, 122623, 6, 94741, 83957, 4, 119055, 13845, 107581, 204982, 7746, 40653, 2205, 10069, 364, 35596, 3120, 1285, 6, 88660, 170355, 38249, 4, 9747, 3069, 7508, 174121, 119718, 1211, 11265, 87644, 27702, 122623, 4, 6, 238144, 1644, 22753, 506, 186955, 36324, 7369, 3056, 163139, 40920, 123329, 3120, 11265, 236512, 10676, 22753, 2932, 3120, 10676, 32054, 39083, 29060, 23173, 710, 40096, 5, 2808, 75230, 1982, 20033, 163139, 67873, 1285, 192183, 2702, 37016, 159696, 16667, 4, 65146, 1211, 20033, 230764, 4151, 27702, 39293, 3120, 20315, 2050, 199145, 20033, 57973, 4151, 119718, 15533, 1211, 4, 6, 23173, 75230, 34575, 213783, 196991, 1285, 27702, 506, 75230, 23741, 905, 96986, 159696, 15388, 10676, 4, 36324, 4151, 6235, 506, 20260, 4838, 226112, 7916, 33716, 1285, 224252, 710, 185226, 1211, 4, 2205, 6, 47351, 88771, 7201, 23173, 7201, 54260, 59461, 2882, 4151, 6235, 94741, 20260, 2200, 56170, 13458, 54260, 2702, 93497, 1285, 224252, 710, 185226, 1211, 2200, 95455, 68313, 81444, 4667, 125523, 1054, 54260, 2882, 7243, 64769, 44779, 3069, 4151, 6, 218872, 4113, 3120, 4838, 226112, 215629, 5, 183512, 123073, 874, 54260, 49008, 4, 163139, 35189, 4, 36324, 4151, 6235, 94741, 20260, 6, 84577, 119718, 7682, 21295, 7746, 230764, 10676, 75773, 69355, 1285, 6235, 46590, 1211, 4, 2200, 1470, 75230, 4667, 95455, 3056, 10339, 21106, 3131, 4, 89979, 15350, 7369, 3056, 4151, 1470, 54260, 105405, 192956, 2442, 7201, 64260, 6093, 3120, 1285, 6235, 46590, 1211, 4, 7369, 160751, 77188, 2200, 4151, 10918, 2882, 220224, 5, 219947, 6, 120749, 7682, 3056, 1470, 75230, 4667, 4151, 27702, 68566, 6293, 199145, 56170, 1982, 41595, 1285, 56170, 29659, 23173, 146873, 6, 129071, 710, 119718, 131044, 7265, 6, 47351, 123736, 1982, 159696, 4852, 5927, 54260, 2702, 3120, 6428, 135118, 12483, 4, 2205, 6, 47351, 88771, 9213, 6, 68558, 20315, 2050, 6235, 94741, 20260, 101251, 24621, 2932, 44779, 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 ]
[ 199145, 56170, 4838, 7243, 17288, 104238, 4113, 160238, 2050, 74680, 129071, 710, 119718, 131044, 4, 2200, 6428, 99766, 119055, 905, 6, 129071, 710, 119718, 131044, 107776, 160238, 6, 68558, 4838, 27702, 3131, 21087, 36258, 1211, 22426, 90848, 26394, 2702, 3120, 6428, 135118, 12483, 4, 3056, 22753, 43449, 75230, 4852, 10184, 4852, 40697, 22639, 6093, 42180, 4, 119055, 13845, 107581, 37826, 75322, 39083, 196979, 4838, 43649, 75230, 2702, 3120, 10676, 6235, 94741, 20260, 2200, 119055, 13845, 107581, 119055, 29060, 7746, 77208, 2376, 72507, 120202, 128540, 4, 84475, 4, 6, 172060, 185226, 192956, 2442, 6235, 225975, 2882, 4, 22753, 119055, 29060, 6, 23173, 54260, 5666, 7201, 21106, 1211, 2205, 26612, 129165, 2865, 35189, 6, 120749, 17310, 3120, 27702, 159696, 2932, 25603, 2200, 132025, 101470, 4838, 119055, 141943, 17310, 4, 119055, 13845, 107581, 68313, 115222, 2932, 23405, 48350, 21660, 2882, 3069, 4151, 6, 84577, 119718, 7682, 1644, 17310, 3120, 10676, 115556, 28726, 12984, 6, 56052, 2200, 4852, 54260, 1211, 4269, 54260, 16803, 4, 1470, 75230, 1982, 22753, 564, 92605, 177148, 1751, 75230, 1211, 28415, 7243, 3120, 10676, 6235, 94741, 20260, 6319, 54260, 1211, 3523, 9221, 171433, 25207, 2932, 109226, 5, 10069, 112216, 21087, 119718, 131044, 4, 119055, 13845, 107581, 119055, 77188, 3069, 8903, 25391, 710, 18406, 10676, 6235, 94741, 20260, 2200, 49027, 107581, 62808, 27702, 46685, 38249, 163139, 24152, 44779, 564, 54260, 6235, 119718, 710, 36419, 6428, 135118, 6093, 4, 3056, 3120, 11265, 220224, 2882, 56170, 1982, 88917, 1211, 7265, 4838, 6235, 119718, 710, 101608, 4269, 54260, 175483, 6093, 22639, 6093, 42180, 5, 4852, 54260, 6093, 6428, 135118, 12483, 3056, 4838, 364, 123073, 10069, 57277, 25207, 4, 1470, 54260, 2932, 5666, 95494, 23741, 4, 1054, 13159, 37826, 6, 75322, 39083, 8903, 192575, 2882, 6, 138194, 50931, 52541, 4838, 75386, 4838, 17190, 1982, 16870, 123329, 1751, 97634, 6293, 1470, 75230, 16803, 75230, 3131, 4, 119055, 13845, 104238, 37826, 1982, 54260, 1285, 141879, 5332, 22426, 18640, 239162, 1211, 132025, 8903, 506, 75230, 18406, 3069, 657, 54260, 1211, 230764, 56170, 29659, 137377, 17310, 2200, 13342, 54745, 2932, 114436, 52541, 15, 219947, 6235, 174763, 4151, 75230, 6293, 4, 1054, 120467, 199720, 2648, 564, 54260, 220224, 4151, 23847, 54260, 40920, 75322, 39083, 4151, 22639, 18415, 1644, 87442, 6, 168155, 4838, 364, 75230, 107581, 165284, 55823, 194, 64260, 1285, 112216, 21087, 119718, 710, 105439, 3056, 4838, 6, 56052, 6, 23173, 16932, 101328, 95564, 44478, 29771, 4852, 4, 22753, 83066, 2882, 3069, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 14212, 26612, 56170, 84316, 22426, 21295, 1211, 75903, 8903, 2882, 52541, 2200, 130170, 2932, 54260, 1211, 3120, 10676, 115374, 2200, 220224, 1211, 2932, 54260, 16803, 4, 22753, 3056, 95298, 6319, 54260, 5666, 2865, 39083, 7243, 1285, 1285, 25207, 146873, 1470, 54260, 2932, 5666, 95494, 23741, 3120, 10676, 28726, 30750, 103023, 1211, 6235, 94741, 20260, 4, 163139, 1644, 4151, 6235, 94741, 20260, 65146, 6, 23173, 75230, 2702, 225164, 4838, 163139, 67873, 2200, 6, 40096, 40096, 5, 92500, 199145, 86510, 6093, 4151, 6235, 94741, 20260, 4269, 54260, 2882, 40653, 2205, 6235, 46590, 4, 6, 21106, 7611, 123736, 48974, 48904, 15533, 9221, 16932, 119055, 77188, 1285, 27702, 159696, 2932, 17310, 3120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10676, 163139, 67873, 2200, 3120, 4151, 16175, 40096, 5, 119718, 15350, 1285, 16175, 40096, 4, 163139, 4151, 163139, 67873, 4, 15, 119718, 120467, 56170, 3111, 51723, 95455, 170791, 3120, 6, 150349, 171433, 57277, 119132, 21776, 21066, 4113, 13805, 2200, 6, 80453, 52480, 111179, 119718, 1211, 224252, 710, 185226, 16, 9213, 1285, 1285, 76776, 2865, 40697, 364, 23173, 2702, 171433, 17645, 3120, 6235, 2702, 20260, 2200, 6235, 46590, 5, 6, 5, 6, 5, 4484, 71577, 710, 21338, 209, 36419, 50778, 96302, 14081, 131044, 2200, 6235, 46590, 10069, 145813, 48775, 4667, 3056, 1285, 160238, 2050, 3120, 178766, 6428, 135118, 12483, 2200, 4151, 1470, 75230, 92904, 43082, 69355, 10676, 192183, 2882, 129071, 199145, 20033, 57973, 7265, 1285, 7265, 96302, 81829, 5, 165592, 75230, 163139, 3373, 26, 4113, 65442, 34533, 54196, 7243, 6319, 54260, 1211, 160238, 2050, 6, 68558, 6319, 54260, 1211, 87481, 186955, 4, 2200, 4484, 54260, 1211, 87481, 186955, 6, 68558, 4838, 160238, 4113, 4, 3056, 65146, 1211, 4151, 7201, 23173, 1285, 1470, 75230, 101608, 192956, 4, 160238, 24621, 139962, 22426, 48775, 4944, 192956, 6, 61541, 53414, 4, 15, 159696, 1644, 107581, 119055, 53414, 3120, 220224, 6093, 220224, 2882, 6, 21106, 54260, 1211, 56170, 63864, 170355, 40920, 103854, 6235, 119718, 710, 36419, 56170, 119718, 9221, 109226, 2205, 10676, 87481, 186955, 16, 123736, 4667, 86510, 6093, 193178, 1285, 40633, 16932, 2648, 125897, 6, 61541, 53414, 3120, 10676, 87481, 186955, 4, 6428, 5, 506, 5, 1285, 6, 61541, 53414, 2205, 1285, 27702, 68566, 33225, 69355, 178766, 27702, 119718, 71616, 4852, 54260, 1211, 5, 905, 13159, 52059, 29631, 13845, 6093, 1285, 115374, 21923, 4, 6, 21106, 7611, 7508, 54260, 104238, 3056, 220224, 6093, 145813, 48775, 4667, 4, 21106, 7611, 28415, 82977, 183718, 54196, 21923, 1285, 119055, 6093, 16932, 199145, 145813, 710, 21847, 12483, 120202, 1285, 56170, 16629, 2648, 65482, 1982, 26612, 68566, 33225, 5, 199145, 6, 84577, 119718, 7682, 1644, 16932, 18225, 3056, 4, 6, 21106, 7611, 28415, 10184, 21295, 18225, 1285, 3523, 75230, 2882, 119718, 188301, 54260, 2882, 3069, 27702, 8300, 54260, 4944, 171428, 7265, 27702, 46464, 83182, 4113, 119055, 6093, 16932, 1285, 56170, 16629, 2648, 65482, 4852, 54260, 28320, 3120, 10676, 115556, 28726, 12984, 84087, 1211, 5, 95766, 4838, 3373, 4667, 145813, 48775, 12984, 4, 2205, 119055, 13845, 107581, 3373, 26, 68313, 81444, 43449, 75230, 4852, 1470, 54260, 1211, 1054, 99766, 56170, 26612, 84087, 4852, 54260, 46545, 1211, 87481, 186955, 4, 27702, 3111, 64213, 7746, 1285, 22639, 18415, 1644, 87442, 905, 21106, 1211, 4, 41764, 21087, 4944, 29771, 203749, 1211, 4, 3131, 22426, 48775, 4667, 6, 150349, 21660, 137218, 7972, 119364, 2200, 6319, 171127, 44478, 7265, 27702, 46464, 83182, 4113, 4838, 10069, 87442, 710, 119718, 1211, 9747, 13342, 1285, 59919, 43178, 138194, 1211, 1285, 22639, 234221, 3120, 1470, 54260, 1211, 27702, 68566, 6293, 5, 35189, 190800, 117260, 2882, 115556, 2200, 4838, 16175, 54260, 1644, 3120, 4151, 22639, 18415, 7972, 8903, 69106, 6, 238144, 2702, 97634, 75578, 7243, 163139, 36324, 75230, 7746, 6, 23173, 75230, 2702, 13342, 22426, 1644, 171433, 16932, 1211, 2200, 95455, 56170, 29659, 23173, 20911, 125523, 46685, 220224, 6093, 5332, 21733, 87442, 65689, 6235, 94741, 20260, 1211, 240863, 5, 64260, 215031, 4151, 3131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 3111, 23405, 27702, 46685, 38249, 20033, 2205, 10676, 27702, 68566, 6293, 73095, 50778, 96302, 21106, 131044, 4, 119055, 13845, 104238, 3056, 2205, 6235, 119718, 710, 36419, 145813, 48775, 12984, 1285, 1470, 54260, 112690, 39340, 27702, 8300, 54260, 4944, 43178, 17310, 7201, 23173, 1211, 115556, 28726, 12984, 84087, 1211, 5, 95766, 1285, 145813, 48775, 12984, 119055, 905, 3373, 26, 4852, 171428, 4, 163139, 35189, 4, 56170, 47351, 9424, 238144, 56170, 16629, 2648, 65482, 5757, 5666, 5, 874, 15857, 94741, 1982, 26612, 8300, 54260, 4944, 43178, 109226, 56170, 1285, 115556, 192956, 5332, 87311, 42180, 2702, 4, 15, 119718, 710, 6, 48253, 119718, 71616, 119718, 29771, 2200, 36419, 50778, 96302, 710, 2205, 143628, 3131, 4, 73095, 50778, 96302, 2200, 73095, 50778, 96302, 21106, 111179, 2205, 241070, 4, 36419, 50778, 96302, 21106, 131044, 2200, 6235, 46590, 2205, 6428, 54260, 48253, 4, 163139, 1470, 75230, 4667, 2205, 230191, 16, 119055, 53414, 29771, 75578, 6, 64260, 1285, 27702, 68566, 33225, 7243, 6235, 3111, 2932, 1285, 59919, 4113, 57619, 54196, 4, 220224, 119055, 53414, 123736, 23741, 10339, 21106, 3131, 7201, 23173, 3131, 57277, 49008, 4, 9424, 43178, 75230, 111137, 9719, 29659, 2200, 132025, 8903, 25222, 18406, 4838, 75386, 15857, 113889, 7511, 51723, 5, 64260, 4151, 145813, 48775, 4944, 192956, 2442, 45521, 44478, 24377, 26612, 40920, 120202, 1285, 46050, 46545, 2200, 67882, 40920, 2808, 75230, 75578, 21066, 4113, 4944, 44779, 1285, 160238, 105235, 1644, 17310, 40653, 10676, 22639, 6093, 28726, 12984, 98478, 3120, 20315, 2050, 115374, 4, 6, 238144, 1644, 3496, 64260, 36326, 1285, 564, 54260, 20315, 119055, 6093, 16932, 27702, 8300, 54260, 4944, 171428, 95455, 96302, 3131, 192956, 84087, 1211, 4, 57973, 220224, 95298, 6, 172060, 185226, 56170, 75290, 18415, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 5, 36419, 50778, 96302, 21106, 131044, 107776, 3120, 30109, 135118, 192956, 6, 59461, 119718, 1211, 4, 119055, 13845, 107581, 6, 225164, 23173, 75230, 2702, 6, 238144, 10813, 4113, 4944, 4484, 54260, 2882, 2200, 9424, 37016, 90848, 4944, 20260, 54260, 2882, 4, 1285, 73095, 50778, 96302, 21106, 4113, 115374, 10339, 21106, 1211, 21106, 63593, 39083, 6, 23173, 54260, 1211, 2205, 67826, 2865, 109226, 2200, 51678, 7243, 27702, 506, 6093, 81829, 220224, 123073, 4113, 87311, 42180, 171433, 7201, 21106, 1211, 4, 199145, 17824, 54260, 12984, 123736, 23741, 2865, 39083, 78278, 11211, 82576, 17645, 5, 220224, 119055, 53414, 55242, 90848, 23741, 22639, 6093, 44779, 6, 61397, 54196, 4, 95298, 1285, 6, 61397, 54196, 4484, 54260, 2882, 4, 199145, 107776, 564, 54260, 220224, 3120, 35189, 16629, 16932, 18415, 6, 59461, 119718, 1211, 4, 119055, 13845, 107581, 119055, 53414, 657, 54260, 40920, 27702, 2808, 54260, 5666, 21066, 71616, 4, 3056, 7243, 6319, 54260, 1211, 15231, 55823, 4, 220224, 6093, 27702, 119718, 71616, 4852, 54260, 1211, 3056, 2205, 36324, 13845, 107581, 10339, 21106, 1211, 64699, 1470, 23174, 48904, 64213, 123736, 1982, 159696, 39293, 16747, 4, 3373, 26, 119718, 9221, 20911, 230764, 220224, 1285, 6, 87311, 96302, 48904, 4113, 1470, 75230, 2932, 5666, 181615, 192956, 37922, 22426, 7916, 16747, 17310, 4, 4852, 54260, 51678, 7746, 95298, 7243, 160238, 128540, 1285, 10339, 39083, 15388, 3120, 220224, 123073, 6, 57277, 28320, 4, 159696, 1644, 107581, 21923, 4838, 12890, 35044, 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 ]
[ 238144, 16932, 120202, 61397, 905, 20911, 3120, 220224, 2200, 220224, 6093, 6, 181615, 235466, 219947, 4838, 68550, 6319, 54260, 1211, 9721, 54260, 16932, 4113, 6, 149364, 150349, 87442, 710, 119718, 1211, 5, 165592, 75230, 42542, 4838, 73095, 50778, 96302, 21106, 6093, 115556, 236512, 6, 31177, 83811, 4, 84475, 177157, 22426, 40096, 17645, 120202, 212484, 1211, 4838, 24377, 22492, 4, 119055, 13845, 104238, 181158, 45629, 29060, 220224, 1211, 1751, 57277, 2050, 4, 220224, 1211, 19302, 59929, 4, 4852, 54260, 23269, 6, 113889, 35596, 4113, 152, 2205, 9424, 238144, 28320, 6, 87311, 96302, 6, 105515, 8947, 70845, 27702, 23405, 4, 7369, 42542, 7746, 29771, 75578, 40026, 6093, 7243, 27702, 506, 6093, 81829, 2200, 6681, 75230, 2702, 39293, 12483, 199145, 220224, 1211, 16175, 40096, 6319, 68558, 199511, 4, 6, 238144, 1644, 3373, 26, 61541, 2882, 70845, 4838, 19302, 29766, 4113, 160238, 105235, 1644, 17310, 2200, 163139, 1644, 16667, 4484, 48775, 23741, 4, 4944, 10069, 7369, 170479, 51678, 27702, 506, 6093, 81829, 10676, 6, 87311, 96302, 48904, 46598, 81414, 1982, 4, 1285, 27702, 25391, 135118, 18415, 92500, 58571, 8300, 30473, 40920, 125897, 73095, 50778, 96302, 1211, 5, 64260, 1285, 115374, 57973, 132025, 8903, 13982, 33104, 50273, 4113, 18415, 6, 59461, 119718, 1211, 2200, 6, 212484, 1211, 4151, 7201, 23173, 21106, 13159, 37729, 2200, 192183, 12483, 220273, 219947, 1470, 75230, 7201, 234221, 5, 13342, 7972, 1982, 4151, 1751, 119718, 26612, 104238, 2200, 1470, 75230, 75578, 21066, 4113, 4944, 192956, 2442, 145813, 48904, 17310, 3120, 1285, 6, 59461, 119718, 1211, 4, 4852, 171428, 220224, 123073, 5332, 87311, 42180, 2702, 36324, 75230, 43449, 54260, 4667, 2200, 119055, 59929, 6093, 103023, 4, 36324, 220224, 65146, 1211, 7746, 1982, 48904, 34365, 1211, 7265, 76961, 2442, 1644, 54260, 6235, 119718, 9221, 64213, 4, 9747, 6, 23173, 75230, 2702, 13342, 225164, 3496, 64260, 3131, 4838, 199145, 56170, 6, 59929, 26, 68313, 7243, 3056, 6, 71577, 29060, 15907, 2200, 117578, 13159, 73784, 98478, 5, 4151, 7201, 23173, 46711, 54260, 18406, 4852, 54260, 40653, 4, 4838, 7201, 87442, 52541, 2200, 56170, 23847, 13159, 53414, 76961, 2702, 5, 236512, 10676, 193178, 220224, 29771, 23741, 6, 47351, 132025, 105235, 1644, 4, 27702, 3111, 64213, 7746, 7265, 40653, 65848, 1982, 114436, 10184, 4852, 152185, 2200, 4269, 54260, 175483, 6093, 6, 88660, 39340, 16932, 17645, 2200, 7265, 2190, 66168, 10918, 75290, 10339, 21106, 38596, 54260, 2882, 44064, 3069, 7746, 21106, 54260, 1211, 5, 168155, 46711, 73381, 44779, 3056, 33718, 95064, 142170, 119718, 2702, 1751, 145161, 53414, 1285, 73095, 50778, 96302, 21106, 4113, 41764, 12415, 8632, 4, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 14905, 159696, 1644, 107581, 17190, 4944, 56169, 40653, 13342, 28726, 18406, 4838, 7508, 9221, 213952, 4113, 3373, 8300, 65482, 5, 1285, 7213, 1644, 35189, 17310, 3056, 86070, 7265, 11265, 171433, 17645, 4, 7265, 6319, 171127, 44478, 65689, 21422, 5666, 78653, 2200, 6, 195054, 91595, 6093, 40653, 14004, 25207, 117902, 4852, 13159, 4, 40653, 11265, 6, 159696, 67873, 56976, 193178, 9424, 119718, 65689, 4838, 6, 212915, 2200, 220224, 1211, 905, 54260, 1982, 4, 564, 54260, 119055, 13845, 107581, 22753, 163139, 1644, 101251, 1982, 93704, 23174, 2882, 6, 104149, 9213, 46711, 53414, 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 ]
[ 9213, 95455, 564, 213783, 7746, 69355, 4151, 32054, 75230, 4, 1285, 27702, 137351, 23173, 10918, 4484, 54260, 2882, 3120, 10676, 6, 57277, 28320, 2200, 10676, 16175, 48775, 2932, 78653, 69355, 10676, 192544, 4, 3496, 64260, 3131, 95455, 76961, 2702, 37826, 220273, 219947, 3069, 160204, 7265, 1285, 21776, 21106, 4113, 10705, 14857, 18415, 16747, 1211, 3120, 10676, 6235, 25222, 30750, 119132, 117902, 2442, 10339, 39083, 4484, 5, 22753, 21776, 4944, 13497, 7746, 7243, 7265, 35189, 21776, 21106, 131044, 4, 6, 238144, 1644, 22753, 1751, 186145, 47332, 40653, 13342, 28726, 18406, 1285, 48277, 142429, 48775, 24621, 2200, 119718, 15350, 6, 31177, 83811, 57973, 4, 6, 238144, 49008, 4, 193178, 10339, 21106, 36326, 132025, 128540, 4, 4838, 83182, 3131, 42542, 22753, 219947, 37922, 22426, 105780, 35465, 95455, 98478, 4, 6, 238144, 1644, 22753, 6319, 68558, 7243, 6, 23173, 54260, 118025, 710, 183216, 16175, 32097, 2205, 20315, 2050, 6, 147712, 2007, 850, 3120, 1285, 4151, 3131, 54260, 5666, 109226, 199145, 34654, 214766, 12483, 22753, 4838, 68550, 2200, 42542, 219947, 6235, 99611, 1211, 3120, 10676, 6, 91595, 1211, 5, 2808, 75230, 4667, 2205, 4151, 3944, 16932, 40096, 14303, 3056, 6235, 159696, 1211, 4838, 167048, 63593, 17310, 199145, 3056, 27702, 8300, 54260, 4944, 13497, 6235, 119718, 29766, 1211, 7265, 10676, 6, 113889, 51723, 1285, 137, 36419, 50778, 96302, 21106, 4113, 5332, 204403, 107581, 2004, 7265, 12415, 4944, 23173, 150715, 239162, 1211, 4838, 75386, 11265, 56170, 186145, 16932, 2205, 6, 141847, 212394, 4, 191795, 2865, 23173, 36326, 2205, 22680, 48904, 25616, 54260, 4667, 4, 6319, 23173, 75322, 109995, 2205, 207405, 2200, 221895, 5, 6, 64260, 1285, 3944, 16932, 23173, 40697, 29659, 25207, 2865, 17310, 37826, 56170, 226112, 28320, 95455, 19302, 54260, 5666, 109600, 61397, 202936, 2200, 220224, 23269, 1470, 88945, 21106, 1211, 4, 30473, 37826, 28415, 16803, 35596, 54260, 1644, 120202, 6093, 54196, 7265, 43449, 54260, 107581, 2200, 20632, 2648, 23269, 6235, 29659, 186955, 1211, 4, 21106, 2702, 1285, 1470, 88945, 21106, 1211, 3120, 4151, 115556, 506, 54260, 2882, 2200, 3056, 27702, 119718, 71616, 6, 21106, 7611, 1470, 54260, 23269, 69355, 1285, 80839, 40920, 212484, 13159, 18415, 6, 29060, 71577, 1211, 2205, 4151, 74806, 710, 4944, 18415, 3120, 4151, 3944, 16932, 40096, 14303, 5, 95766, 115222, 2932, 5666, 170355, 7611, 3069, 1285, 73095, 50778, 96302, 21106, 4113, 4, 3056, 43649, 188301, 6, 23173, 75230, 2702, 190135, 8903, 119718, 29766, 1211, 4151, 1470, 75230, 2702, 8903, 25207, 30741, 16932, 4, 24012, 4944, 16932, 59461, 2200, 119055, 29771, 4944, 16870, 123329, 115556, 5, 2205, 47351, 88771, 57973, 95298, 3373, 54260, 4151, 73095, 50778, 96302, 21106, 6093, 2200, 3373, 54260, 4151, 1470, 75230, 2702, 8903, 25207, 30741, 16932, 6, 109600, 61397, 6, 168155, 4838, 3373, 4667, 6235, 2865, 54260, 5666, 235210, 13159, 9424, 119718, 65689, 7746, 4, 564, 54260, 20315, 56170, 87311, 15388, 4852, 54260, 4838, 43449, 54260, 107581, 2200, 123736, 12415, 24621, 10339, 84577, 165592, 17645, 4, 564, 54260, 20315, 21923, 220224, 19302, 54260, 5666, 44779, 2200, 10498, 39083, 95766, 220224, 123073, 117578, 13159, 1211, 4, 57973, 1285, 207013, 10372, 29400, 44779, 2200, 56170, 26612, 12483, 47783, 2648, 120467, 17824, 75230, 36419, 236512, 10676, 7243, 133671, 5, 4151, 1470, 54260, 57619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 123329, 130170, 16629, 2648, 9424, 119718, 65689, 4852, 54260, 3056, 95455, 4, 199145, 4151, 184639, 78104, 22426, 3056, 30109, 135118, 192956, 2442, 4, 2200, 4151, 221895, 2442, 3056, 203013, 6093, 5, 29771, 75578, 4151, 115556, 3120, 6235, 46590, 3056, 7243, 19302, 54260, 5666, 44779, 2808, 75230, 2702, 8903, 25207, 4944, 13497, 4, 92500, 7243, 73095, 50778, 96302, 21106, 9424, 37016, 90848, 12984, 152, 220224, 1211, 21776, 30741, 17310, 3056, 4838, 9721, 54260, 16932, 4113, 92500, 4838, 6, 238144, 16932, 4113, 4, 2205, 220224, 1211, 75773, 4269, 54260, 2882, 6, 23173, 54260, 1211, 7243, 133190, 4151, 6, 87311, 96302, 4, 5666, 29766, 110167, 850, 2819, 7243, 133190, 7369, 6, 21106, 54260, 1211, 4, 84475, 220224, 1211, 18906, 22426, 32184, 28726, 4, 133190, 95455, 34076, 7682, 69355, 16175, 75230, 4852, 13497, 6093, 2200, 107189, 101328, 49008, 4, 56170, 119055, 13845, 107581, 7369, 3056, 17824, 54260, 2882, 3069, 6, 199511, 4852, 54260, 1211, 16175, 54260, 1644, 5, 2648, 120467, 6235, 46590, 3056, 27702, 119718, 71616, 30473, 29171, 6093, 2200, 49920, 192956, 2442, 4, 3373, 26, 68313, 56170, 1982, 88917, 1211, 144754, 163139, 1644, 16667, 6319, 48775, 23741, 2200, 6, 238144, 2882, 30473, 4944, 46545, 54260, 2882, 4, 119055, 13845, 107581, 33960, 18406, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 1982, 26612, 506, 6093, 81829, 1285, 1751, 16870, 192956, 6, 87311, 96302, 48904, 4113, 1470, 75230, 22680, 4113, 2932, 109226, 2200, 6, 149364, 4852, 43178, 192956, 12825, 5666, 5, 874, 6, 5, 15857, 94741, 63593, 22426, 7916, 16747, 109226, 4, 236512, 6, 238144, 16932, 4113, 2200, 7508, 54260, 104238, 4113, 6, 89991, 4, 236512, 4838, 216333, 1211, 92500, 1751, 114436, 1211, 98478, 5, 4484, 71577, 710, 21338, 534, 26217, 158652, 54260, 2882, 2205, 1751, 54260, 14540, 3069, 10676, 6235, 2648, 167622, 10069, 1470, 54260, 2932, 5666, 95494, 23741, 3120, 72577, 4484, 54260, 2882, 119055, 77188, 564, 54260, 4151, 364, 54260, 13497, 123329, 52059, 29631, 29659, 905, 55823, 3069, 8903, 25391, 710, 18406, 3069, 4231, 65482, 115374, 4, 119055, 13845, 107581, 6, 238144, 1211, 6, 23173, 75230, 2702, 7265, 8903, 46590, 3069, 183512, 123073, 115374, 2200, 21923, 17824, 54260, 2882, 3069, 56170, 10918, 40920, 1211, 230764, 6235, 119718, 710, 36419, 56170, 2882, 54260, 67873, 4, 4944, 10069, 3069, 45223, 33225, 220224, 123073, 7265, 96302, 81829, 5, 10069, 81444, 4852, 125897, 1470, 54260, 2932, 5666, 95494, 23741, 119055, 77188, 28415, 16803, 13497, 54260, 1644, 4151, 21733, 77188, 163139, 4838, 116486, 108264, 2882, 3120, 4838, 27702, 46464, 83182, 1211, 3496, 23173, 129071, 6093, 2200, 1470, 54260, 18415, 1982, 75230, 2442, 65482, 6235, 46590, 1211, 2200, 8947, 159696, 33716, 4151, 1982, 54260, 107020, 2932, 48904, 2865, 56170, 1644, 54260, 4484, 13497, 1285, 163139, 24152, 905, 5, 3120, 10676, 6235, 94741, 20260, 230764, 64260, 1285, 6235, 46590, 1211, 5, 165592, 13845, 107581, 27702, 87637, 23741, 75230, 12483, 21923, 564, 165592, 33716, 28415, 2200, 1285, 874, 54260, 5666, 49008, 3120, 35189, 4269, 59929, 4, 163139, 230764, 1285, 4838, 1982, 34575, 129071, 4113, 52059, 28320, 4, 119055, 13845, 107581, 67826, 64213, 7746, 4, 3120, 4852, 54260, 6093, 220224, 2882, 4, 292, 7265, 22753, 6093, 120202, 2882, 54260, 67873, 95455, 6235, 46590, 3120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10676, 6235, 94741, 20260, 4, 292, 2808, 75230, 6293, 6235, 119718, 710, 36419, 81444, 2932, 195164, 2200, 21776, 7972, 46677, 39293, 160238, 63864, 2882, 54260, 67873, 5, 10069, 190800, 75230, 2702, 19302, 54260, 5666, 109600, 61397, 192956, 160238, 105235, 1644, 75230, 12483, 6, 159696, 15388, 72577, 4484, 54260, 2882, 15, 119718, 710, 159696, 15388, 4838, 27702, 46464, 83182, 1211, 6235, 46590, 3069, 29659, 183512, 4, 1054, 120467, 37826, 220273, 219947, 3069, 160204, 7265, 20315, 2050, 6235, 94741, 20260, 16, 21923, 56170, 1982, 88917, 1211, 7265, 1285, 5332, 88660, 113889, 2865, 40697, 101251, 105235, 16747, 1211, 3120, 35189, 64769, 61397, 67882, 24152, 6, 118809, 5, 95766, 4151, 81444, 4852, 123329, 6, 118809, 120202, 6093, 54196, 4151, 6235, 94741, 20260, 43449, 75230, 4852, 4838, 75386, 6, 47351, 2808, 171127, 15529, 96302, 3120, 19302, 54260, 5666, 192956, 2442, 1470, 75230, 2702, 8903, 25207, 30741, 158652, 54260, 2882, 152, 2200, 4151, 7201, 23173, 199145, 35189, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 3056, 6428, 99766, 4838, 1751, 159696, 2442, 6093, 2200, 7369, 107776, 160238, 2808, 75230, 6293, 6, 47351, 22639, 10069, 119718, 56570, 21106, 34533, 65689, 43649, 54260, 61397, 4, 2205, 4838, 6, 80453, 52480, 111179, 159696, 2442, 2200, 7243, 84577, 119718, 7682, 1644, 16932, 160238, 2050, 4, 119055, 77188, 4151, 7201, 23173, 1285, 17824, 13159, 18415, 2200, 163139, 4944, 46545, 80885, 1470, 75230, 7201, 119859, 30750, 3120, 10676, 18895, 2200, 1285, 17288, 4944, 80885, 4151, 23847, 54260, 4944, 17310, 3120, 9174, 66362, 4, 123959, 6319, 75322, 6293, 7201, 23173, 161048, 30473, 80885, 69106, 2200, 182731, 17310, 4, 6235, 120749, 6093, 7243, 230764, 3069, 45223, 33225, 6, 17645, 119132, 4, 5666, 29766, 230764, 120202, 13342, 76776, 61621, 4, 84475, 120202, 97634, 1211, 4838, 145813, 710, 34709, 10676, 9424, 238144, 28320, 5, 4944, 64260, 36326, 1285, 3373, 29771, 10918, 21106, 4113, 119055, 29766, 34709, 12483, 3120, 36324, 13845, 107581, 119055, 13845, 97634, 110970, 75230, 2808, 75230, 12483, 92500, 119055, 13845, 96256, 54260, 5666, 105235, 1644, 109226, 4, 6, 172060, 185226, 163139, 1285, 1470, 54260, 13497, 54260, 1644, 17310, 3120, 1285, 116486, 108264, 28320, 4, 3131, 57277, 51723, 3120, 4151, 6319, 71577, 15907, 21106, 34533, 152185, 123736, 38054, 3111, 23405, 4, 6, 26394, 119718, 92605, 46053, 220224, 7746, 95298, 1982, 165592, 88917, 93497, 1751, 57277, 24152, 2205, 4151, 19302, 54260, 5666, 109600, 61397, 192956, 2442, 6, 118809, 4, 163139, 1644, 4838, 133880, 20315, 2050, 199145, 4151, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 3120, 6, 64260, 10676, 19302, 59929, 3056, 6, 141847, 2200, 7201, 23173, 203326, 1211, 4, 3056, 7369, 1470, 75230, 4667, 119055, 92605, 1644, 103023, 2200, 1285, 6, 75322, 12890, 42180, 7746, 190800, 13342, 3131, 203749, 1211, 95766, 98478, 3056, 56170, 1982, 88917, 1211, 7265, 19302, 54260, 5666, 192956, 2442, 192183, 73486, 4113, 69106, 4, 7265, 22518, 37016, 4, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 92500, 42542, 1470, 75230, 2702, 8903, 7916, 33716, 119055, 53414, 4, 133190, 230764, 10676, 75773, 3120, 10676, 124724, 87442, 1211, 10705, 13497, 6093, 13982, 133671, 10676, 9424, 238144, 28320, 5, 95766, 6, 64260, 4151, 6, 118809, 16175, 54260, 21295, 18225, 120202, 1285, 72577 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4484, 54260, 2882, 3120, 10676, 6235, 94741, 20260, 4, 238144, 1644, 657, 75230, 2882, 1285, 101251, 105235, 16747, 1211, 2200, 4151, 41764, 21087, 4944, 39083, 29771, 46677, 3120, 6, 64260, 10676, 19302, 59929, 1644, 75230, 13497, 7746, 6319, 54260, 5666, 2865, 39083, 7243, 3069, 220224, 1211, 72577, 15, 95766, 4838, 6319, 71577, 15907, 21106, 34533, 152185, 123736, 38054, 3111, 23405, 159696, 33716, 1470, 75230, 4667, 4838, 17824, 75230, 101608, 16175, 54260, 1644, 7243, 27702, 119718, 71616, 30473, 29171, 4113, 206994, 6093, 27702, 119718, 9221, 20911, 69355, 1285, 19302, 54260, 5666, 109600, 61397, 192956, 132025, 3131, 75230, 2808, 109226, 194, 4151, 7201, 23173, 6, 59929, 29771, 10918, 2808, 52541, 1285, 21733, 54260, 5666, 109600, 61397, 7265, 10676, 6235, 94741, 20260, 620, 91595, 4484, 54260, 2882, 2200, 1470, 54260, 2932, 5666, 3111, 10918, 4484, 54260, 2882, 2200, 220224, 234221, 36324, 19302, 905, 8903, 115374, 65146, 1211, 43649, 188301, 220224, 1211, 620, 91595, 4, 2200, 221067, 115374, 4852, 171428, 4, 657, 75230, 2882, 220224, 6093, 874, 54260, 3111, 23405, 4, 6, 76776, 90848, 119132, 5, 1982, 54260, 10676, 6319, 71577, 15907, 21106, 34533, 65689, 19302, 59929, 37189, 27720, 3056, 4151, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 9721, 54260, 16932, 2200, 6, 48775, 105780, 9221, 16932, 4, 2200, 4151, 7201, 23173, 55242, 12483, 20033, 163139, 1285, 6319, 71577, 15907, 21106, 34533, 1211, 4151, 1644, 75230, 18406, 7746, 1751, 75230, 1211, 18133, 46985, 6, 101328, 3069, 220224, 1211, 6, 75322, 39083, 72577, 5, 220224, 6093, 72577, 4484, 54260, 2882, 119718, 120467, 29434, 905, 20911, 7746, 1470, 75230, 2702, 2205, 84087, 84577, 90848, 7916, 4113, 4, 43649, 77188, 220224, 95298, 7243, 3069, 1982, 165592, 52541, 230764, 6, 64260, 10676, 6235, 46590, 220224, 123073, 19302, 59929, 1211, 117578, 13159, 1211, 4, 1285, 1470, 54260, 2932, 5666, 3111, 10918, 4484, 54260, 2882, 92500, 1470, 75230, 2702, 8903, 25207, 30741, 158652, 54260, 2882, 4, 119055, 13845, 107581, 3056, 1470, 54260, 5666, 8903, 119718, 29766, 34709, 2882, 2205, 220224, 6093, 27702, 119718, 71616, 4852, 54260, 1211, 2200, 125523, 28415, 16175, 32097, 2205, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 5, 657, 75230, 2882, 220224, 123073, 101251, 105235, 16747, 1211, 657, 75230, 13497, 7746, 123736, 23741, 3069, 220224, 1211, 72577, 4, 220224, 51678, 7746, 56170, 25222, 49008, 3069, 220224, 1211, 13458, 54260, 23093, 23173, 10918, 4484, 5, 35189, 6, 84577, 119718, 7682, 1644, 17310, 2702, 116486, 26394, 2702, 3373, 54260, 3120, 72577, 4484, 54260, 2882, 4, 3373, 54260, 3120, 620, 91595, 4484, 54260, 2882, 4, 172060, 185226, 163139, 3120, 76961, 221895, 6235, 46590, 1211, 1751, 57277, 63532, 3120, 10676, 224252, 710, 185226, 3120, 39293, 22849, 16803, 35189, 506, 186955, 17310, 4, 119055, 13845, 104238, 3056, 3120, 220224, 1211, 220224, 2882, 564, 165592, 54196, 230764, 1285, 63593, 22426, 7916, 16747, 109226, 3120, 657, 71616, 2200, 2190, 17017, 71616, 5, 35189, 224252, 710, 185226, 4269, 54260, 2882, 37729, 1285, 4151, 7201, 23173, 109226, 40653, 2205, 6235, 94741, 20260, 4, 92500, 4151, 6235, 94741, 20260, 119055, 77188, 564, 54260, 4838, 6, 238144, 16932, 2648, 123329, 6, 84577, 119718, 7682, 1644, 17310, 56170, 119718, 183512, 21295, 95766, 6235, 46590, 5, 120202, 506, 141847, 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 ]
[ 3120, 1285, 4, 3373, 29771, 10918, 21106, 4113, 2200, 5332, 88660, 113889, 2865, 40697, 101251, 105235, 16747, 1211, 23269, 63532, 6, 68558, 4151, 224252, 710, 185226, 3120, 55242, 22849, 16803, 35189, 506, 186955, 17310, 76961, 2865, 39083, 3523, 54260, 73381, 29766, 51723, 2819, 120202, 506, 141847, 7682, 3120, 6, 64260, 1285, 101251, 105235, 16747, 1211, 21923, 1470, 75230, 4667, 10676, 115556, 16667, 35189, 7201, 23173, 109226, 4, 3120, 119055, 13845, 107581, 8947, 6, 84577, 119718, 7682, 21295, 7746, 4151, 6235, 94741, 20260, 4, 4151, 6235, 94741, 20260, 4, 119718, 120467, 56170, 75290, 149364, 2882, 43649, 188301, 1285, 174538, 12483, 3120, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 92500, 3069, 22426, 59929, 17310, 15, 2648, 120467, 3069, 22426, 59929, 1211, 7746, 3056, 6, 21106, 54260, 1211, 4838, 6, 56052, 16175, 129071, 7682, 2205, 10676, 39293, 22849, 1211, 6319, 75322, 6293, 194, 4151, 17288, 4944, 82576, 6, 172060, 185226, 4, 199145, 119055, 77188, 4151, 23847, 54260, 40920, 37729, 20315, 2050, 6235, 94741, 20260, 4, 2205, 220224, 1211, 9424, 159696, 4484, 195164, 123329, 3069, 22426, 59929, 17310, 4, 3056, 220224, 1211, 40653, 240863, 95766, 6235, 46590, 5, 7265, 221895, 119055, 6093, 16932, 4, 4151, 115556, 112216, 16803, 7746, 36324, 75230, 72577, 13342, 3069, 6235, 119718, 710, 36419, 101251, 105235, 16747, 1211, 4, 36324, 4151, 3373, 4667, 25484, 3120, 220224, 23269, 174538, 12483, 3120, 6319, 75322, 6293, 92500, 3069, 22426, 59929, 17310, 4, 292, 4151, 6235, 94741, 20260, 4, 292, 119055, 77188, 56170, 119718, 183512, 21295, 2205, 4838, 3523, 40096, 9221, 28726, 12984, 88660, 13497, 129071, 2200, 22639, 6093, 192956, 2442, 1751, 54260, 14540, 3069, 6, 64260, 1285, 101251, 105235, 16747, 1211, 4, 95455, 3056, 966, 3523, 5, 6, 2050, 5, 15857, 2648, 142429, 120467, 6235, 46590, 5, 2200, 4151, 224220, 22426, 28726, 13805, 3120, 56170, 16629, 2648, 65482, 6235, 46590, 1211, 119055, 13845, 107581, 8903, 7916, 49008, 7746, 2205, 115374, 163825, 1211, 1470, 75230, 2702, 220224, 1211, 3496, 23173, 129071, 6093, 4, 95455, 6319, 68558, 220224, 1211, 31249, 91595, 4484, 54260, 2882, 4, 6, 172060, 185226, 163139, 72577, 4484, 54260, 2882, 1470, 5, 2808, 5, 119718, 5, 76961, 3496, 23173, 129071, 93497, 6, 84577, 119718, 7682, 1644, 12483, 4852, 18167, 37729, 4151, 97121, 506, 95494, 23741, 7265, 27702, 29659, 710, 188201, 17190, 1982, 16870, 125897, 2200, 16175, 75230, 18415, 29771, 12890, 87442, 1211, 4, 7265, 119055, 13845, 107581, 4151, 115556, 107776, 2205, 192183, 2882, 129071, 2200, 119055, 13845, 107581, 35189, 42180, 1211, 1285, 6235, 46590, 1211, 2200, 6, 95494, 33225, 36324, 75230, 4838, 68550, 10676, 3496, 23173, 129071, 6093, 4, 6, 238144, 1644, 6, 170355, 12984, 119718, 120467, 21923, 107020, 119859, 57619, 1211, 2190, 112595, 23173, 105235, 16747, 44779, 2200, 57973, 3069, 194706, 7243, 6319, 54260, 1211, 3131, 54260, 14540, 6, 225164, 564, 54260, 194706, 7243, 6, 23173, 75230, 2702, 4, 7243, 6319, 54260, 1211, 56170, 12890, 16932, 17310, 2200, 7243, 4484, 54260, 1211, 32054, 54260, 13497, 95494, 23741, 4, 220224, 21923, 194706, 107020, 119859, 57619, 1211, 129165, 27105, 5, 2702, 54260, 72577, 4484, 54260, 2882, 4, 3373, 54260, 620, 91595, 4484, 54260, 2882, 4, 564, 54260, 20315, 193178, 37729, 10676, 55242, 22849, 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 ]
[ 116486, 26394, 2702, 69355, 6, 84577, 119718, 7682, 1644, 17310, 4, 564, 54260, 20315, 6, 104378, 6, 21106, 7611, 1470, 54260, 16667, 3120, 10676, 55242, 22849, 1211, 6319, 75322, 6293, 56170, 4113, 65442, 710, 80885, 69106, 4, 2200, 4151, 130170, 16629, 2648, 9424, 119718, 65689, 220224, 4, 15, 172060, 185226, 163139, 9424, 119718, 65689, 76961, 506, 4113, 104238, 4113, 4, 2200, 24012, 35189, 123329, 4113, 41764, 21087, 4944, 40697, 4151, 3131, 54260, 5666, 109226, 16, 3056, 43449, 75230, 4852, 6, 47351, 130170, 16629, 2648, 2205, 10676, 6, 136775, 3131, 57277, 1982, 4, 2205, 4151, 874, 120467, 3120, 6, 84577, 119718, 7682, 21295, 4484, 54260, 2882, 2200, 48775, 105780, 54196, 4484, 54260, 2882, 2205, 10676, 6319, 75322, 6293, 4, 119055, 13845, 104238, 119055, 77188, 3120, 220224, 1211, 220224, 2882, 27702, 29659, 710, 63532, 103854, 4151, 3373, 29771, 10918, 21106, 6093, 2200, 5332, 88660, 113889, 2865, 152185, 3373, 110129, 109421, 5, 36324, 75230, 55242, 12483, 20033, 119718, 710, 4151, 7201, 23173, 199145, 4151, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 119055, 77188, 2205, 4151, 6319, 71577, 15907, 21106, 34533, 152185, 123736, 38054, 3111, 23405, 6235, 7916, 33716, 230764, 6, 47351, 22639, 10069, 119718, 56570, 21106, 34533, 65689, 43649, 54260, 61397, 2200, 68313, 85596, 44478, 4, 64769, 61397, 2200, 6, 238144, 29171, 6093, 9424, 159696, 4484, 195164, 7682, 4, 163139, 2205, 4838, 3373, 29771, 10918, 21106, 34533, 152185, 123736, 38054, 3111, 23405, 4, 51678, 7746, 4151, 7201, 23173, 6, 57277, 39340, 4, 2205, 4838, 6319, 71577, 15907, 21106, 34533, 152185, 8903, 39293, 1644, 95494, 23741, 4, 43449, 75230, 4852, 104395, 448, 4151, 1644, 75230, 18406, 3069, 220224, 1211, 7265, 1470, 54260, 1211, 364, 84577, 72577, 4, 2205, 35189, 9424, 54260, 2882, 119055, 12483, 7265, 4151, 221895, 2442, 364, 84577, 148707, 22426, 1644, 29771, 40096, 52541, 220224, 1285, 28415, 506, 54260, 2882, 69355, 1285, 7265, 96302, 81829, 2819, 292, 56170, 75290, 2882, 4, 2205, 4838, 3373, 29771, 10918, 21106, 34533, 152185, 6235, 39293, 1644, 95494, 23741, 4, 119718, 905, 4151, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 119055, 77188, 6235, 7916, 33716, 6319, 39083, 87442, 710, 119718, 2200, 123736, 48974, 48904, 15533, 54196, 2200, 3056, 4151, 7201, 23173, 1470, 75230, 4667, 9721, 54260, 16932, 4, 21422, 22849, 26612, 119718, 905, 82576, 2200, 56170, 7201, 54260, 59461, 16932, 4, 68313, 7243, 133190, 178748, 44779, 56170, 76961, 3069, 220224, 1211, 72577, 4, 133190, 95455, 3056, 4838, 3523, 75230, 2882, 119718, 188301, 4113, 27702, 218710, 17310, 56170, 4151, 4151, 506, 186955, 17310, 2200, 6, 84577, 119718, 7682, 1644, 17310, 3120, 6, 17645, 35465, 2808, 54260, 119132, 5, 35189, 27702, 119718, 71616, 30473, 29171, 6093, 116486, 1644, 29060, 23173, 63188, 4, 4151, 21776, 119718, 39083, 92866, 24001, 59461, 4, 4151, 39340, 2865, 59919, 2200, 4151, 120202, 59919, 55823, 2808, 123329, 3373, 29771, 10918, 21106, 6093, 7265, 97594, 2648, 4, 199145, 56170, 10918, 40920, 1211, 2808, 75230, 6293, 220224, 123073, 22639, 10069, 119718, 56570, 109316, 9181, 119364, 4, 236512, 6235, 39293, 1644, 95494, 23741, 192956, 9424, 159696, 38249, 4, 34079, 12483, 95455, 7243, 4, 133190, 657, 75230, 2882, 10676, 107020, 172060, 75386, 3120, 20315, 2050, 9934, 75230, 61397, 25046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 65482, 2050, 6, 35465, 155, 6235, 46590, 4, 5666, 29766, 1470, 54260, 57619, 54260, 46545, 1470, 75230, 4667, 657, 75230, 2882, 4151, 10339, 29771, 35189, 17310, 3120, 10676, 19302, 29766, 1211, 6235, 94741, 20260, 4, 69355, 220224, 6093, 45521, 119364, 4, 27702, 119718, 71616, 30473, 29171, 1211, 163139, 67873, 2200, 3120, 220224, 123073, 1470, 75230, 2702, 8903, 25207, 30741, 18415, 21733, 59929, 1211, 117578, 13159, 1211, 5, 220224, 6093, 1470, 75230, 2702, 25207, 30741, 17310, 5, 3056, 95298, 4838, 9721, 54260, 16932, 4113, 4, 28415, 7201, 23173, 7201, 54260, 59461, 18415, 2200, 6, 238144, 16932, 4113, 5, 10069, 72577, 4484, 54260, 2882, 199145, 107776, 95298, 7243, 3120, 4151, 19302, 29766, 6093, 1470, 75230, 2702, 25207, 30741, 17310, 4, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 6873, 219947, 3120, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 4, 36324, 18225, 6, 94741, 63020, 4, 36324, 18225, 3056, 17824, 54260, 2882, 190800, 13342, 215629, 92500, 18225, 6, 92605, 26394, 22426, 2882, 54196, 1285, 16175, 40096, 4, 199145, 107776, 4838, 75386, 4151, 21776, 124740, 2882, 40096, 3120, 4151, 26217, 158652, 54260, 2882, 2819, 119055, 12483, 6, 64260, 1285, 16175, 40096, 107776, 3120, 4838, 6235, 46590, 4, 199145, 119055, 77188, 7243, 192183, 226112, 1644, 54196, 3120, 10676, 6235, 94741, 20260, 2200, 3120, 4151, 4151, 4484, 35596, 161829, 4, 133190, 119055, 77188, 8903, 101296, 40920, 196991, 10676, 1470, 54260, 8903, 119132, 163139, 67873, 4, 15, 119718, 710, 95455, 6, 186145, 23741, 123736, 23741, 7265, 22639, 10069, 119718, 56570, 10705, 36258, 2205, 6235, 119718, 710, 36419, 54745, 78683, 2648, 35596, 40697, 7213, 40920, 1211, 16, 54745, 122165, 2882, 3056, 95455, 7243, 4484, 54260, 1211, 72577, 4484, 54260, 2882, 4, 15, 5666, 29766, 4151, 19302, 54260, 5666, 109600, 61397, 42542, 155787, 35596, 42733, 31623, 52541, 215031, 21776, 21066, 4113, 13805, 144754, 72577, 4484, 54260, 2882, 16, 95455, 3056, 33960, 104238, 3120, 76961, 51723, 32887, 2865, 149364, 26612, 96302, 212484, 7682, 54260, 2882, 4, 2702, 26, 68313, 1285, 874, 151461, 3069, 115222, 2865, 33225, 196991, 6235, 119718, 710, 36419, 1751, 16870, 192956, 21776, 21066, 37016, 46053, 4, 3373, 26, 68313, 3131, 119718, 26612, 4944, 4484, 54260, 2882, 2200, 3056, 3523, 216510, 3069, 9424, 37016, 90848, 4944, 114436, 73095, 50778, 96302, 21106, 131044, 4, 163139, 3069, 91595, 1211, 6235, 46590, 6, 5, 6, 5, 6, 5, 4484, 71577, 710, 21338, 427, 2808, 41595, 100495, 42180, 2200, 6235, 2648, 167622, 103854, 1285, 123736, 12890, 87442, 710, 159696, 6235, 39293, 64213, 3120, 4151, 1285, 21106, 87442, 7682, 4, 37729, 119055, 13845, 107581, 10705, 54561, 6093, 4269, 54260, 16803, 4, 6, 172060, 185226, 163139, 76961, 2702, 230764, 4151, 49027, 2882, 4, 6, 84577, 119718, 7682, 21295, 7746, 2200, 192539, 2882, 7746, 4, 119055, 53414, 1285, 32887, 29766, 710, 13159, 3120, 10676, 48706, 40096, 65689, 67882, 16932, 710, 21106, 78653, 2200, 69355, 10676, 84087, 120467, 29771, 7201, 65689, 1470, 88945, 21106, 78653, 4151, 7916, 33716, 3069, 220224, 6093, 192183, 2702, 37016, 159696, 198093, 26612, 1982, 2702, 89828, 4, 6, 172060, 185226, 241662, 119055, 12483, 6, 64260, 1285, 32887, 29766, 710, 13159, 4151, 23847, 54260, 12984, 220224, 6093, 4838, 204403, 2932, 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 ]
[ 5, 144754, 221895, 119055, 6093, 16932, 152, 199720, 2648, 119055, 12483, 8947, 107776, 3069, 4151, 4151, 21733, 6093, 17310, 3120, 20315, 2050, 27702, 68566, 6293, 1470, 41595, 100495, 42180, 4, 199145, 3056, 4231, 114436, 4269, 54260, 175483, 6093, 4838, 32206, 43178, 21106, 4, 3120, 119718, 48904, 12483, 8947, 564, 215726, 1211, 220224, 123073, 119055, 160446, 4, 3373, 54260, 4151, 48706, 40096, 13456, 101296, 16932, 710, 21106, 34533, 152185, 13342, 240863, 4, 3373, 54260, 1285, 84087, 120467, 29771, 7916, 83957, 88945, 21106, 34533, 40697, 15857, 80885, 51723, 15, 159696, 1644, 107581, 16175, 54260, 67873, 4852, 18167, 3120, 220224, 6093, 220224, 2882, 2205, 48706, 26632, 13456, 2808, 88945, 21106, 34533, 40697, 4, 1285, 21106, 87442, 13456, 2808, 88945, 21106, 34533, 40697, 1470, 5, 2808, 5, 119718, 5, 16, 6, 172060, 185226, 54745, 122165, 2882, 43649, 75230, 46053, 7746, 6, 64260, 1285, 32887, 29766, 710, 13159, 230764, 10676, 3131, 23173, 17748, 28320, 185527, 6, 68558, 2205, 874, 34533, 40697, 4838, 1982, 116174, 35465, 2200, 10339, 21106, 1211, 6, 23173, 54260, 1211, 2205, 10676, 97634, 1211, 3120, 4838, 20632, 2648, 23269, 3944, 29631, 62073, 27702, 201237, 12483, 1285, 1470, 41595, 100495, 42180, 5, 1285, 2190, 5666, 203749, 40697, 46590, 120467, 29771, 7916, 13159, 4, 1054, 120467, 6, 105235, 38249, 130170, 6, 64260, 10676, 6, 87311, 113889, 97634, 119132, 27702, 201237, 12483, 4, 4838, 177282, 75230, 33225, 657, 88680, 29659, 3120, 148932, 160238, 146079, 9221, 17310, 4, 199145, 56170, 87311, 98833, 2205, 7746, 4838, 204403, 30473, 15231, 119718, 1211, 2200, 27702, 29659, 52480, 28320, 87481, 186955, 2819, 2200, 1285, 6, 238144, 29171, 4113, 54745, 7916, 7511, 42180, 2702, 199145, 192575, 1211, 6235, 25222, 18406, 119055, 53414, 9747, 120202, 13342, 22426, 23822, 1211, 1285, 10339, 29771, 35189, 109226, 3120, 10676, 3523, 54260, 61397, 133671, 8903, 46464, 198093, 56170, 29659, 183512, 4, 21923, 6, 168155, 23050, 22426, 1644, 103023, 2200, 119055, 53414, 21776, 46464, 2865, 54196, 2205, 1285, 1982, 26612, 506, 75230, 23741, 109226, 4, 36324, 1285, 1470, 41595, 100495, 42180, 3056, 6, 47351, 101251, 35189, 21733, 139365, 23173, 6235, 46590, 4, 36324, 2648, 120467, 3056, 4838, 364, 54260, 1644, 125897, 163139, 4852, 17645, 4, 6, 47351, 1470, 54260, 5666, 8903, 1982, 75230, 2442, 114436, 224252, 710, 185226, 4, 21422, 220273, 4838, 56052, 55242, 13805, 16932, 6, 81951, 4, 84475, 4838, 27702, 46464, 83182, 115222, 46685, 1644, 2205, 15864, 25207, 4667, 5, 35189, 48706, 40096, 152185, 67882, 16932, 710, 21106, 78653, 4, 49027, 104238, 56170, 2648, 87442, 130170, 1285, 5666, 5, 874, 6, 5, 15857, 2648, 29771, 910, 101296, 16932, 710, 21106, 34533, 40697, 27702, 68566, 33225, 2200, 10184, 4852, 101328, 203749, 152185, 32887, 155045, 113889, 203749, 17645, 137, 81951, 2004, 37271, 2808, 171127, 710, 185226, 2004, 137, 1982, 165592, 905, 83182, 115222, 46685, 1644, 2004, 1285, 874, 34533, 40697, 160238, 105235, 1644, 109226, 4, 238354, 119718, 710, 4151, 1470, 88945, 21106, 34533, 152185, 52059, 2882, 3120, 101251, 35189, 21733, 139365, 23173, 4484, 54260, 2882, 4, 564, 54260, 20315, 57973, 4852, 54260, 43449, 75230, 4852, 1285, 32887, 152848, 69106, 3069, 56170, 128540, 1285, 11211, 204403, 25616, 15533, 17645, 4, 10339, 71804, 4944, 4484, 54260, 2882, 2200, 14004, 2865, 204403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18415, 50778, 38596, 54260, 2882, 3120, 4231, 65482, 1470, 88945, 29771, 203749, 710, 13159, 4, 199145, 27702, 234221, 7746, 130170, 64260, 1285, 52059, 28320, 5, 7201, 23173, 10676, 203013, 1211, 2200, 6681, 3131, 213952, 1211, 56170, 29659, 183512, 4, 5332, 65442, 34533, 52541, 7243, 4484, 54260, 1211, 101251, 35189, 21733, 139365, 23173, 4113, 2200, 6319, 54260, 1211, 14856, 57277, 7916, 4852, 40697, 4151, 3131, 54260, 5666, 109226, 4, 6, 238144, 1644, 1470, 75230, 1982, 13159, 119055, 39083, 28320, 5332, 65442, 34533, 54196, 6, 170355, 12984, 4, 199145, 21923, 107020, 119859, 57619, 1211, 101251, 35189, 21733, 139365, 23173, 4, 119718, 39083, 28320, 20033, 220224, 57588, 7243, 6235, 88660, 13497, 1470, 75230, 7201, 101470, 2200, 20033, 119055, 39083, 28320, 10339, 39083, 2932, 44779, 219947, 133190, 220224, 7243, 6235, 88660, 13497, 84087, 1211, 2200, 6, 159696, 15388, 220224, 220264, 4, 133190, 20033, 119055, 39083, 28320, 110856, 12666, 7243, 6235, 119718, 71616, 6, 159696, 15388, 220224, 6093, 161048, 30473, 80885, 69106, 5, 76961, 2702, 199145, 20033, 37922, 22426, 105780, 35465, 3056, 117902, 18415, 112690, 13845, 4151, 21733, 139365, 23173, 5, 95455, 199145, 3056, 4838, 1982, 2702, 39083, 36609, 101251, 35189, 21733, 139365, 23173, 51678, 20033, 7243, 37922, 22426, 105780, 35465, 2200, 4151, 7201, 23173, 42542, 8947, 1470, 75230, 4667, 2702, 63383, 87442, 710, 119718, 56170, 194706, 7243, 5332, 65442, 34533, 52541, 5, 657, 75230, 2882, 1285, 6235, 39293, 64213, 3120, 4151, 10069, 21106, 87442, 7682, 65146, 8947, 95298, 1470, 75230, 4667, 7243, 5332, 65442, 34533, 52541, 123736, 12890, 87442, 710, 119718, 4, 6, 238144, 1644, 76961, 2702, 119718, 120467, 5332, 65442, 34533, 54196, 27702, 159696, 98833, 7746, 2200, 6, 192539, 2882, 7746, 4, 177274, 27702, 159696, 2932, 17310, 2200, 192539, 17310, 22444, 23741, 6, 23173, 75230, 2702, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 2205, 10676, 4838, 68550, 4, 6428, 5, 506, 5, 17645, 20315, 27702, 159696, 2932, 17310, 65146, 6, 104378, 73784, 1470, 75230, 92904, 43082, 2205, 4151, 6, 76776, 29631, 2200, 3056, 4151, 7201, 23173, 117902, 18415, 112690, 13845, 4151, 39340, 91275, 23173, 56170, 1285, 115374, 4, 1470, 75230, 1982, 1285, 101251, 105235, 16747, 1211, 95766, 119055, 13845, 107581, 220224, 6235, 7916, 49008, 7746, 21923, 133190, 6, 48775, 10918, 239162, 1644, 6235, 3111, 2932, 4, 1470, 75230, 1982, 6, 204932, 29771, 10918, 21106, 4113, 123736, 48974, 48904, 15533, 215726, 2205, 119055, 13845, 104238, 220224, 98478, 3056, 4838, 203013, 4113, 2200, 4151, 78683, 2865, 6293, 3069, 4151, 4484, 171428, 1285, 192183, 25616, 4113, 18415, 160238, 51723, 3120, 1285, 56170, 16629, 2648, 65482, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 119055, 77188, 22639, 73486, 165592, 3131, 54196, 4, 1470, 75230, 1982, 8947, 119055, 77188, 133190, 74806, 15231, 56169, 1285, 29434, 54260, 16803, 4484, 54260, 2882, 3069, 160238, 81829, 10676, 2190, 28714, 75230, 29111, 6093, 28726, 12984, 192183, 2882, 129071, 4, 2205, 159696, 1644, 12984, 1285, 4838, 144532, 125897, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 65146, 1211, 6, 104378, 1470, 54260, 23269, 7265, 35189, 221895, 2442, 2200, 7265, 178766, 4113, 1470, 54260, 2932, 65482, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 2819, 92500, 1470, 75230, 1982, 8947, 119055, 77188, 6, 84577, 119718 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7682, 21295, 4151, 163139, 67873, 3069, 165284, 79761, 1211, 95455, 163139, 24152, 1211, 2200, 1982, 26612, 119718, 9221, 20911, 119055, 53414, 4, 37729, 119055, 13845, 107581, 177274, 4151, 3131, 54260, 3111, 23405, 6, 84577, 22426, 1644, 87442, 7746, 2200, 165354, 77208, 2376, 77208, 1470, 75230, 4667, 6, 104378, 4, 36324, 75230, 4838, 68550, 4, 3069, 178766, 4151, 4484, 35596, 161829, 5, 10705, 54561, 6093, 37922, 22426, 105780, 35465, 1285, 4838, 144532, 125897, 123736, 12890, 87442, 1211, 4, 3056, 120202, 506, 141847, 7682, 3120, 4231, 65482, 1982, 26612, 159696, 2932, 109226, 2200, 6, 192539, 109226, 4, 119055, 13845, 107581, 119055, 53414, 2205, 178766, 22639, 6093, 192956, 32206, 63383, 87442, 710, 119718, 131044, 6, 23173, 75230, 2702, 8903, 225164, 37729, 1285, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 3120, 20315, 2050, 4838, 68550, 2200, 119055, 13845, 107581, 364, 23173, 87311, 5666, 52541, 6, 57277, 39340, 4151, 7201, 23173, 7265, 10676, 32887, 2865, 204403, 3120, 10069, 141879, 5, 119718, 120467, 19302, 29766, 6093, 2200, 43649, 23173, 75290, 8947, 29434, 905, 20911, 7746, 1470, 75230, 2702, 4151, 21776, 4852, 182759, 16667, 69355, 1285, 123736, 12890, 87442, 710, 159696, 1470, 75230, 101608, 192956, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 4, 56170, 12890, 16747, 109226, 2200, 1470, 75230, 21066, 48350, 109226, 4, 230764, 178766, 4113, 22639, 6093, 192956, 3373, 63383, 87442, 710, 159696, 56170, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 14546, 12890, 16747, 109226, 2200, 1470, 75230, 21066, 48350, 109226, 4, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 4, 6, 21106, 7611, 9915, 109316, 55451, 1211, 86510, 6093, 3056, 4151, 40653, 240863, 3120, 101251, 21733, 29766, 6093, 37922, 22426, 7916, 16747, 17310, 3069, 4838, 1982, 26612, 29659, 52480, 28320, 27702, 101470, 3120, 6, 170355, 12984, 4, 3069, 6, 47351, 364, 23173, 87311, 207591, 1211, 4151, 46590, 1211, 220224, 2200, 3069, 35189, 99509, 6093, 4151, 4484, 35596, 161829, 40653, 220224, 5, 92500, 6, 172060, 185226, 163139, 20033, 4151, 4484, 171428, 1285, 1470, 75230, 101608, 192956, 4151, 3131, 54260, 5666, 109226, 4, 37729, 35189, 37922, 22426, 7916, 16747, 17310, 199145, 220224, 6, 225164, 6, 23173, 75230, 2702, 2205, 194706, 2200, 37729, 4151, 163139, 24152, 17310, 119718, 120467, 220224, 9213, 18406, 124724, 87442, 84475, 22639, 79761, 87442, 1470, 75230, 2702, 230764, 194706, 4, 36324, 75230, 4151, 4484, 171428, 62808, 178766, 4113, 1470, 54260, 2932, 65482, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 37729, 10676, 1470, 54260, 16747, 55049, 199145, 220224, 193178, 2808, 75230, 6293, 1285, 4838, 144532, 125897, 123736, 12890, 87442, 1211, 5, 2648, 120467, 101251, 35189, 21733, 139365, 23173, 4113, 2205, 4151, 123736, 12890, 87442, 710, 159696, 2442, 6, 159696, 21295, 2200, 2205, 20315, 2050, 115374, 4, 6, 172060, 185226, 163139, 1285, 4151, 4484, 35596, 161829, 40653, 220224, 4, 21923, 43449, 75230, 69855, 13845, 40096, 710, 159696, 27702, 68566, 33225, 4, 199145, 51678, 27702, 8300, 54260, 4944, 171428, 44064, 10676, 55242, 22849, 1211, 4269, 54260, 175483, 1211, 13342, 29659, 183512, 3120, 10676, 115374, 5, 1982, 54260, 20315, 27702, 68566, 33225, 6, 84577, 119718, 7682, 1644, 12483, 7746, 1285, 21106, 87442, 13456, 2200, 564, 54260, 28320, 7746, 76961, 2865, 39083, 144754 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1285, 6, 90848, 67873, 4, 2205, 10676, 116486, 26394, 2702, 3120, 10676, 115556, 28726, 12984, 116486, 23847, 13159, 5, 1285, 35189, 4484, 35596, 161829, 1285, 13497, 4838, 75386, 6, 47351, 4838, 50778, 18415, 39293, 73784, 7243, 4151, 21733, 139365, 23173, 1211, 4, 6428, 5, 506, 5, 165592, 37729, 4151, 4151, 4484, 35596, 161829, 657, 54260, 4484, 171428, 20033, 120202, 2200, 27702, 30473, 15388, 1285, 1751, 16932, 109226, 95766, 10676, 27702, 506, 6093, 81829, 1285, 4838, 144532, 125897, 123736, 12890, 87442, 1211, 4, 119055, 12483, 3373, 26, 4484, 177148, 95298, 73784, 10339, 39083, 88660, 24621, 119132, 1470, 75230, 2702, 3111, 64213, 6, 64260, 1285, 123736, 12890, 87442, 1211, 22444, 38249, 7746, 6, 23173, 75230, 2702, 1285, 28415, 224220, 22426, 7972, 138194, 18415, 4, 7243, 4151, 21733, 6093, 18415, 2200, 4, 163139, 220224, 55242, 12483, 194706, 2205, 10676, 6, 87311, 96302, 1470, 75230, 2702, 4, 10705, 2865, 35189, 21733, 139365, 23173, 4113, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 4, 95455, 3056, 1285, 4838, 50778, 18415, 39293, 3069, 178766, 115222, 2932, 5666, 159696, 33716, 123329, 4151, 4484, 35596, 161829, 4, 6428, 5, 506, 5, 1285, 4838, 50778, 18415, 39293, 3120, 4151, 4838, 50778, 18415, 39293, 4, 1285, 7201, 23173, 5666, 54260, 3111, 23405, 3120, 4151, 56170, 5666, 54260, 3111, 23405, 4, 199145, 178766, 4151, 4484, 35596, 161829, 37826, 7265, 4852, 18167, 160238, 190135, 21776, 71804, 15231, 119718, 3069, 4151, 4838, 144532, 123329, 34072, 83182, 6, 76776, 29631, 5, 6, 64260, 10069, 3523, 54260, 4113, 101251, 35189, 21733, 139365, 23173, 4484, 54260, 2882, 1285, 13497, 3120, 11265, 220224, 2882, 4838, 75386, 4838, 6, 73215, 146079, 3069, 46464, 12984, 4838, 6, 238144, 16932, 2648, 125897, 4, 9721, 54260, 16932, 4113, 4151, 4484, 35596, 161829, 5, 10069, 4151, 4484, 35596, 161829, 1285, 13497, 4838, 75386, 6, 47351, 4838, 50778, 18415, 39293, 73784, 101251, 35189, 21733, 139365, 23173, 1211, 4, 2451, 2200, 95455, 101251, 35189, 21733, 139365, 23173, 4113, 3069, 4151, 4151, 4484, 35596, 161829, 2819, 2200, 6, 172060, 185226, 163139, 13159, 3056, 7243, 29771, 6319, 54260, 1211, 6, 84577, 154739, 46545, 4113, 48706, 40096, 40697, 4151, 4484, 35596, 161829, 4, 36324, 75230, 3056, 2808, 75230, 4667, 7243, 29771, 6319, 54260, 1211, 4838, 1982, 2702, 39083, 905, 18415, 101251, 35189, 21733, 139365, 23173, 4484, 54260, 2882, 5, 132, 26612, 199145, 56170, 4838, 7243, 3056, 27702, 29659, 710, 188201, 4, 4838, 1982, 2702, 39083, 905, 18415, 101251, 35189, 21733, 139365, 23173, 4484, 54260, 2882, 4, 119055, 39083, 2882, 6235, 192575, 2882, 874, 54260, 49008, 36324, 178766, 4151, 4484, 35596, 161829, 3056, 7243, 10705, 24621, 16747, 44779, 2200, 36324, 22753, 42542, 4151, 23847, 54260, 12984, 4838, 6, 172060, 185226, 3120, 56170, 97594, 159696, 2442, 16932, 7201, 39083, 88660, 2865, 135118, 54260, 2882, 3120, 119055, 13845, 104238, 18225, 42542, 1751, 75230, 1211, 6, 238144, 16932, 7243, 4269, 54260, 12483, 194, 17645, 20315, 4151, 3131, 54260, 3111, 23405, 3056, 4838, 23050, 2932, 215726, 3120, 4838, 40026, 6093, 2648, 123329, 4151, 3131, 54260, 3111, 23405, 4, 30473, 3056, 95298, 1470, 54260, 57619, 54260, 46545, 1470, 75230, 4667, 4838, 23050, 2932, 215726, 3120, 4838, 23050, 2932, 215726, 2200, 6, 105235, 21295, 144754, 7746, 36324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 4838, 68550, 160238, 4, 21776, 71804, 15231, 119718, 3069, 6235, 119718, 710, 36419, 101251, 105235, 16747, 1211, 4, 4838, 15857, 194734, 39293, 4, 2648, 5, 506, 5, 4838, 117902, 30473, 15231, 119718, 1211, 119055, 77188, 5, 5666, 5, 874, 5, 15857, 2648, 29771, 1019, 2808, 75230, 6293, 10676, 6235, 94114, 3120, 163139, 2702, 5666, 95494, 23741, 192956, 2442, 2200, 6235, 39293, 1644, 95494, 23741, 192956, 2442, 95494, 7201, 17310, 15, 119718, 21292, 5666, 95494, 23741, 3056, 4838, 3373, 29771, 10918, 21106, 4113, 6, 129071, 710, 119718, 131044, 4, 3373, 54260, 119055, 12483, 20033, 21923, 2808, 88680, 10676, 27702, 119718, 71616, 4, 3373, 54260, 7243, 16, 21923, 1285, 4151, 4484, 35596, 161829, 4, 2200, 1285, 101251, 35189, 21733, 139365, 23173, 4484, 54260, 2882, 4, 117902, 30473, 15231, 159696, 4, 3496, 64260, 3131, 220224, 21923, 1470, 54260, 57619, 54260, 46545, 2808, 75230, 4667, 21776, 71804, 15231, 159696, 27702, 68566, 33225, 5, 2648, 120467, 3373, 109636, 42180, 28726, 8248, 12984, 2200, 6, 101328, 15388, 7746, 125523, 4838, 1982, 2702, 39083, 36609, 101251, 35189, 21733, 139365, 23173, 16870, 6093, 3131, 54260, 5666, 109226, 37826, 10676, 6, 89991, 3069, 52059, 15231, 119718, 52541, 4838, 6, 56052, 6, 23173, 34533, 218241, 48775, 147502, 22426, 23173, 165592, 15907, 40697, 364, 75230, 95957, 96256, 22426, 1644, 161829, 2200, 1751, 23173, 1644, 40096, 48904, 78653, 3120, 1470, 54260, 1211, 220224, 2882, 4, 2200, 2932, 54260, 175483, 4113, 10339, 75230, 63849, 54260, 2882, 7265, 19302, 54260, 5666, 109600, 61397, 192956, 22639, 6093, 42180, 3120, 4151, 9424, 238144, 16932, 4852, 54260, 2882, 5, 4151, 24012, 4944, 16932, 59461, 2200, 29434, 54260, 82576, 6428, 135118, 6093, 42542, 4151, 7201, 23173, 1470, 75230, 4667, 7243, 218161, 4484, 171428, 6319, 54260, 1211, 874, 34533, 40697, 224252, 710, 185226, 1211, 4, 6319, 54260, 1211, 14856, 57277, 7916, 4852, 40697, 55242, 13805, 18415, 81951, 448, 2200, 6319, 54260, 1211, 60118, 4113, 21106, 4113, 10184, 4852, 101328, 203749, 710, 13159, 2200, 115222, 46685, 44779, 4, 6, 238144, 1644, 76961, 506, 4113, 104238, 4113, 41764, 21087, 4944, 40697, 4151, 3131, 54260, 5666, 109226, 6, 84577, 119718, 7682, 1644, 12483, 7746, 15, 1644, 75230, 2882, 163139, 8947, 119055, 77188, 10705, 54561, 19302, 29766, 4, 119055, 12483, 20033, 4269, 54260, 12483, 3069, 220224, 1470, 75230, 2702, 13342, 7201, 29766, 81829, 7265, 4151, 11211, 108968, 3120, 20315, 2050, 32887, 12415, 21106, 34533, 13456, 10069, 21106, 87442, 65689, 58573, 142429, 16, 3120, 1285, 21776, 21106, 4113, 10184, 4852, 101328, 203749, 152185, 73381, 28726, 13805, 1211, 4, 119055, 13845, 107581, 21923, 4838, 21776, 92605, 42180, 230764, 1285, 37922, 22426, 7916, 16747, 109226, 3120, 657, 71616, 92500, 2190, 17017, 71616, 5, 6, 64260, 1285, 37922, 22426, 7916, 16747, 109226, 21923, 1285, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 3120, 10676, 96302, 81829, 4, 6, 172060, 185226, 163139, 3120, 4151, 17741, 506, 2200, 3120, 6, 17645, 35465, 17190, 30750, 103023, 1211, 123736, 48974, 48904, 78653, 4, 159696, 1644, 104238, 3056, 3120, 220224, 1211, 220224, 2882, 4838, 224220, 22426, 7972, 138194, 16932, 3069, 235210, 43178, 105235, 1644, 3120, 101296, 16932, 17645, 5, 10069, 37922, 22426, 7916, 16747, 109226, 3120, 657, 71616, 2200, 2190, 17017, 71616, 119055, 53414 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7201, 139449, 37729, 10705, 54561, 123073, 6, 105780, 6293, 33414, 20560, 4, 119055, 13845, 107581, 21923, 194706, 72577, 564, 233364, 13497, 5, 8947, 5332, 65442, 34533, 54196, 219947, 6319, 54260, 1211, 69529, 40653, 28726, 1982, 17310, 4, 6319, 54260, 1211, 69529, 41764, 21087, 4944, 40697, 4151, 3131, 54260, 3111, 23405, 4, 6319, 54260, 1211, 60732, 192183, 2882, 129071, 9424, 119718, 65689, 4151, 1470, 75230, 101608, 192956, 2442, 6, 159696, 21295, 4, 2200, 178766, 22639, 6093, 44779, 28726, 18406, 4, 199145, 170479, 7243, 6, 104378, 124724, 87442, 4, 84475, 22639, 79761, 87442, 3120, 178766, 4113, 105780, 6293, 33414, 20560, 2200, 170479, 7243, 6, 23173, 75230, 2702, 225164, 1285, 37922, 22426, 7916, 16747, 17310, 3120, 657, 71616, 4, 84475, 10705, 17017, 71616, 5, 10069, 27702, 506, 75230, 23741, 109226, 6, 159696, 15388, 4838, 55242, 152194, 1211, 6, 81951, 4, 84475, 6, 159696, 15388, 1470, 75230, 101608, 29766, 2648, 13497, 192956, 224252, 710, 185226, 1211, 2200, 115222, 46685, 44779, 51678, 10339, 39083, 2932, 44779, 7243, 57973, 6319, 54260, 1211, 69529, 1982, 165592, 4113, 5, 1982, 54260, 10676, 6, 238144, 29171, 6093, 10339, 39083, 88660, 24621, 119132, 123736, 48974, 48904, 78653, 27702, 29659, 54260, 2882, 1285, 21776, 92605, 42180, 2808, 75230, 6293, 657, 71616, 2200, 2190, 17017, 71616, 2205, 10676, 6, 80453, 52480, 111179, 119718, 1211, 21776, 21066, 4113, 13805, 4, 95298, 199145, 7201, 39083, 88660, 2865, 114436, 4151, 123736, 48974, 48904, 78653, 3056, 4, 6, 21106, 7611, 6, 48775, 105780, 9221, 16932, 21923, 1285, 174538, 12483, 144754, 119055, 13845, 107581, 7369, 21776, 26612, 2932, 54196, 5, 10069, 4151, 7201, 23173, 109226, 3120, 657, 71616, 2200, 2190, 17017, 71616, 199145, 119055, 53414, 27909, 4944, 8903, 28726, 47332, 2200, 6235, 9221, 3131, 13497, 37729, 110167, 850, 56170, 25222, 104238, 1211, 2200, 6, 84577, 119718, 7682, 1644, 12483, 564, 54260, 17645, 35465, 17190, 30750, 103023, 1211, 6, 159696, 56880, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 20632, 4151, 3131, 22426, 52541, 1285, 35189, 5666, 216510, 17310, 3120, 657, 71616, 4, 84475, 1285, 6235, 7201, 23173, 3120, 2190, 17017, 71616, 5, 6, 64260, 1285, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 17446, 55823, 2808, 7682, 54260, 2882, 3373, 54260, 564, 54260, 2050, 115374, 4, 3373, 54260, 564, 54260, 4151, 17741, 506, 4, 3056, 95455, 199145, 20033, 6, 225164, 2808, 171127, 710, 185226, 2819, 1285, 207013, 4151, 7201, 23173, 109226, 56170, 29659, 23173, 165354, 1470, 75230, 4667, 1285, 45521, 2808, 7682, 54260, 2882, 13342, 21776, 26612, 2932, 52541, 230764, 6, 64260, 1285, 37922, 22426, 7916, 16747, 109226, 5, 92500, 3120, 10676, 224220, 22426, 28726, 13805, 3120, 174538, 12483, 4, 7265, 119055, 13845, 107581, 18225, 21776, 26612, 2932, 54196, 2808, 75230, 6293, 220224, 4, 6, 95494, 23741, 7746, 2200, 3373, 26, 1982, 26612, 29659, 54260, 2882, 178766, 6235, 94741, 20260, 12483, 235728, 5, 119718, 120467, 28415, 8947, 119055, 92605, 16803, 1285, 6319, 119718, 14081, 131044, 3120, 1285, 174538, 12483, 4, 7265, 119055, 13845, 107581, 51723, 21776, 26612, 2932, 54196, 4, 6, 21106, 7611, 224220, 22426, 7972, 138194, 16932, 3056, 4151, 18895, 4, 2200, 199145, 224220, 22426, 7972, 138194, 16932, 3373, 26, 68313, 4151, 18895 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21106, 7611, 6, 48775, 105780, 9221, 16932, 119055, 53414, 1285, 174538, 12483, 3120, 21776, 92605, 42180, 5, 92500, 1285, 3069, 22426, 59929, 17310, 199145, 3056, 1470, 54260, 23269, 3120, 1285, 163139, 4944, 46545, 80885, 174538, 12483, 22639, 26, 2050, 6319, 75322, 6293, 7201, 23173, 161048, 30473, 80885, 69106, 4, 15, 2648, 5, 506, 5, 2205, 10676, 6319, 75322, 6293, 56170, 657, 71616, 2200, 196991, 2190, 17017, 71616, 16, 4484, 177148, 160238, 564, 54260, 10676, 6, 80453, 52480, 111179, 119718, 53414, 18895, 28415, 112216, 21087, 119718, 2200, 1470, 75230, 75578, 21066, 4113, 4944, 44779, 4, 92500, 564, 54260, 10676, 6, 84577, 119718, 7682, 21295, 53414, 18895, 86510, 6093, 2200, 6, 129071, 710, 159696, 2442, 5, 20315, 2050, 21776, 71804, 15231, 119718, 1211, 52059, 117397, 215726, 6, 172060, 185226, 4151, 23847, 54260, 12984, 1285, 174538, 12483, 3120, 6319, 75322, 6293, 7201, 23173, 161048, 30473, 80885, 69106, 2205, 4151, 6, 84577, 3131, 80453, 4113, 4944, 213952, 6093, 192183, 16803, 55049, 15231, 159696, 2442, 6, 95494, 7201, 17310, 4, 159696, 1644, 107581, 364, 75230, 47332, 7746, 6, 68558, 1751, 75230, 1211, 564, 54260, 1285, 6, 80453, 52480, 111179, 119718, 80885, 2007, 123736, 48974, 48904, 15533, 215726, 2702, 4, 119718, 710, 20033, 55242, 12483, 95455, 564, 54260, 10676, 10184, 21847, 4, 199145, 564, 75230, 29060, 220224, 1211, 23050, 16803, 4, 564, 54260, 1285, 119055, 1644, 20315, 3149, 5047, 4, 199145, 193178, 7746, 51328, 13159, 4, 84475, 564, 54260, 1285, 12023, 49008, 119055, 13845, 107581, 6, 95494, 33225, 220224, 123073, 12890, 110970, 97634, 38249, 5, 10069, 6, 95494, 7201, 17310, 2702, 67826, 2865, 17310, 119055, 13845, 107581, 119055, 77188, 132025, 8903, 225164, 1470, 41595, 100495, 42180, 4, 84475, 14004, 16667, 22426, 9221, 215726, 4, 3056, 6, 172060, 185226, 163139, 1285, 6, 95494, 7201, 17310, 6, 21106, 54260, 1211, 4, 7243, 133190, 56170, 1982, 88917, 1211, 7265, 20315, 2050, 18895, 4, 133190, 22753, 3056, 1470, 75230, 4667, 124724, 87442, 116486, 204403, 29025, 101328, 151227, 3069, 220224, 1211, 6, 40096, 119718, 7682, 1644, 17310, 92500, 6, 129071, 710, 119718, 131044, 5, 661, 16, 77518, 2205, 6235, 119718, 710, 36419, 145813, 48775, 4944, 12483, 119055, 53414, 1285, 27702, 68566, 33225, 1470, 41595, 100495, 42180, 2200, 22639, 150349, 9221, 215726, 56170, 3131, 57277, 49008, 163139, 15857, 113889, 7511, 51723, 4, 2205, 221895, 145813, 48775, 4944, 12483, 4, 163139, 35189, 4, 119055, 53414, 4852, 54260, 132025, 8903, 159696, 16747, 29060, 3069, 27702, 8300, 54260, 4944, 171428, 56170, 16629, 2648, 65482, 4269, 54260, 175483, 4113, 3069, 29659, 183512, 1211, 2205, 4151, 96302, 3131, 192956, 2442, 41764, 21087, 4944, 39083, 29771, 46677, 5, 2205, 6, 47351, 88771, 3056, 6, 57277, 16580, 81444, 4838, 657, 54260, 4944, 16932, 130170, 16629, 2648, 9424, 119718, 65689, 6, 64260, 1285, 9424, 238144, 220224, 28320, 3120, 1470, 54260, 1211, 41764, 21087, 1982, 29771, 203749, 152185, 874, 48904, 42733, 119273, 215726, 5, 14004, 16667, 22426, 9221, 215726, 3056, 4151, 21776, 124740, 2882, 40096, 3120, 4838, 28415, 27702, 3131, 54260, 5666, 149364, 192956, 2442, 4, 1470, 75230, 101608, 192956, 2442, 157175, 2200, 6, 87311, 96302, 48904, 46598, 1470, 54260, 16747, 55049, 5, 2205, 4151, 9424, 54260, 2882, 199145, 1470, 41595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 100495, 42180, 68313, 4838, 86510, 6093, 6093, 22639, 6093, 192956, 2442, 3069, 29659, 183512, 5, 3373, 26, 68313, 95298, 56170, 47351, 1470, 75230, 4667, 4838, 6, 168155, 113889, 35596, 4113, 3373, 54260, 38574, 4, 4838, 1285, 21106, 87442, 40697, 1470, 54260, 5927, 54260, 2882, 9424, 119718, 65689, 220224, 4, 6, 238144, 1644, 4151, 6, 87311, 96302, 48904, 6093, 1470, 54260, 16747, 55049, 199145, 22444, 23741, 6, 23173, 75230, 2702, 1285, 22639, 150349, 9221, 215726, 4, 42542, 7746, 1470, 75230, 2702, 119718, 9221, 38249, 5666, 29766, 241662, 4, 119055, 12483, 3373, 26, 68313, 1751, 75230, 1211, 4151, 23847, 54260, 40920, 6235, 119718, 29766, 1211, 4151, 65902, 101296, 13805, 3120, 6, 47351, 2808, 127684, 44779, 2702, 63383, 87442, 710, 159696, 2442, 6, 204932, 204403, 30473, 42180, 4, 199145, 3056, 6, 21106, 54260, 1211, 4838, 116486, 108264, 2882, 3120, 4838, 46685, 224220, 22426, 7972, 138194, 28320, 116486, 26394, 2702, 3120, 6, 84577, 119718, 7682, 1644, 17310, 4, 3120, 4838, 116486, 26394, 2702, 4, 2205, 119055, 13845, 12984, 10069, 163139, 24152, 17310, 3120, 10339, 54260, 6093, 2648, 125897, 123736, 12890, 87442, 710, 159696, 3373, 47912, 3056, 1751, 75230, 1211, 6235, 119718, 29766, 1211, 4, 125523, 26612, 9424, 39083, 3120, 56170, 119718, 183512, 1644, 109226, 4, 6, 47351, 123736, 48974, 48904, 152185, 16175, 54260, 1644, 3120, 178766, 220224, 1211, 5, 37729, 64260, 10676, 116486, 26394, 2702, 4151, 23847, 54260, 12984, 20033, 1285, 45521, 2808, 7682, 54260, 2882, 3120, 101251, 144754, 22849, 23173, 6093, 4151, 1197, 3523, 5, 874, 5, 15857, 94741, 10069, 6, 84577, 119718, 7682, 21295, 4484, 54260, 2882, 3120, 18895, 4, 6428, 5, 506, 5, 3120, 1285, 174538, 12483, 3120, 6319, 75322, 6293, 56170, 4113, 65442, 710, 80885, 69106, 4, 3056, 3120, 11265, 220224, 2882, 120202, 506, 141847, 7682, 3120, 4151, 10184, 4852, 152185, 2200, 67882, 16932, 17645, 44478, 123736, 48974, 48904, 15533, 215726, 2200, 3120, 1285, 4151, 7201, 23173, 109226, 5, 10069, 4151, 7201, 23173, 109226, 4, 163139, 35189, 4, 6, 172060, 185226, 163139, 4151, 4269, 48904, 89930, 123736, 48974, 48904, 78653, 4, 15, 119718, 120467, 105235, 21295, 7265, 7746, 160238, 4838, 224220, 22426, 28726, 13805, 3120, 56170, 16629, 2648, 65482, 67882, 16932, 710, 109316, 895, 87442, 90848, 49008, 2200, 10184, 4852, 40697, 4838, 97634, 51723, 4, 119055, 13845, 107581, 57973, 7746, 37729, 6, 59929, 226112, 113889, 123103, 21660, 14081, 1211, 3120, 3373, 47912, 3069, 5666, 75230, 111137, 29659, 75230, 46053, 2200, 56170, 1982, 88917, 1211, 16, 21923, 4151, 1470, 75230, 92904, 43082, 69355, 1285, 4838, 144532, 125897, 101251, 105235, 16747, 1211, 5, 35189, 123736, 48974, 48904, 78653, 2200, 1285, 4151, 7201, 23173, 109226, 6, 234221, 7746, 2205, 1470, 54260, 1211, 6, 192539, 1211, 95766, 56170, 12890, 16747, 17310, 7265, 1285, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 3120, 1285, 123736, 12890, 87442, 710, 159696, 10705, 14857, 18415, 16747, 1211, 5, 2200, 2205, 1285, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 3120, 10676, 123736, 48974, 48904, 78653, 2200, 220224, 23269, 4151, 7201, 23173, 109226, 4, 6, 105235, 38249, 1751, 75230, 1211, 115526, 17410, 1285, 27702, 159696, 2932, 109226, 2200, 192539, 109226, 3120, 10676, 2007, 2200, 220224, 1211, 6, 84577, 119718, 7682, 1644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17310, 4, 15, 119718, 120467, 119055, 77188, 124724, 87442, 2200, 14004, 16747, 9221, 87442, 56170, 63864, 170355, 40920, 37729, 10676, 4269, 48904, 64213, 123736, 48974, 48904, 78653, 16, 163139, 1470, 75230, 4667, 1285, 160238, 2050, 69355, 4151, 1470, 41595, 100495, 42180, 5, 14004, 1982, 1285, 6319, 75322, 17748, 174538, 12483, 3120, 1285, 27702, 46464, 83182, 4113, 7265, 97594, 35189, 2205, 6, 92605, 39083, 87442, 710, 119718, 364, 23173, 87311, 5666, 52541, 9424, 119718, 65689, 7746, 4, 3056, 6, 95494, 23741, 7746, 241662, 4838, 6, 56052, 6235, 2865, 54260, 5666, 235210, 6093, 6428, 135118, 17310, 2702, 235728, 2200, 4838, 6319, 39083, 87442, 710, 159696, 6, 95494, 7201, 17310, 4, 15, 119718, 710, 20033, 39293, 12483, 95455, 564, 54260, 1285, 12023, 49008, 16, 119055, 13845, 107581, 43649, 54260, 98833, 40653, 1285, 45495, 24621, 3120, 1285, 6, 30979, 506, 23173, 87311, 5666, 40697, 18895, 850, 2200, 220224, 123073, 6, 95494, 7201, 109226, 564, 54260, 28415, 224220, 22426, 7972, 138194, 18415, 29766, 2932, 48904, 15533, 51723, 5, 35189, 115556, 192956, 2442, 6235, 94741, 20260, 119055, 13845, 104238, 3056, 4838, 116486, 108264, 2882, 3120, 4838, 27702, 46464, 83182, 2702, 224220, 22426, 7972, 138194, 28320, 123736, 48974, 48904, 78653, 2200, 56170, 87311, 98833, 1470, 75230, 4667, 1470, 54260, 57619, 54260, 46545, 6, 148222, 54260, 2932, 5666, 95494, 23741, 3069, 56170, 21847, 54260, 12984, 2200, 6, 59929, 29771, 10918, 2808, 52541, 220224, 23269, 6, 149364, 4852, 43178, 192956, 40653, 28726, 1982, 109226, 7265, 1285, 40653, 28726, 1982, 109226, 3120, 221895, 4, 119055, 13845, 107581, 21923, 64769, 44779, 13342, 220224, 23269, 4, 2200, 37826, 1470, 75230, 4667, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 15, 103854, 220224, 1211, 3373, 29771, 10918, 21106, 6093, 123736, 48974, 48904, 15533, 215726, 4, 52059, 29631, 2200, 145813, 48775, 4667, 16, 220224, 23269, 1470, 54260, 2932, 65482, 160238, 105235, 1644, 109226, 4, 226467, 2200, 4113, 87311, 42180, 2702, 3069, 56170, 21106, 8903, 2865, 54260, 59461, 1211, 4, 6428, 5, 506, 5, 220224, 3069, 56170, 119718, 183512, 1644, 12483, 2205, 4838, 16175, 54260, 1644, 3120, 10069, 6319, 39083, 87442, 710, 159696, 4151, 7201, 23173, 109226, 2200, 3120, 10676, 6319, 39083, 87442, 710, 119718, 1211, 56170, 29659, 183512, 15, 10069, 119718, 21292, 5666, 95494, 23741, 247, 220224, 1211, 6, 95494, 7201, 17310, 65146, 43649, 54260, 12483, 230764, 4838, 17288, 104238, 6093, 874, 212479, 163139, 1285, 95494, 7201, 109226, 3120, 221895, 17190, 1982, 16870, 125897, 119055, 48350, 16667, 4, 119055, 13845, 107581, 56170, 87311, 15388, 4, 84475, 29766, 2932, 48904, 40697, 45521, 2808, 7682, 54260, 28320, 4, 84475, 1285, 56170, 2882, 54260, 67873, 3120, 6235, 39293, 1644, 95494, 23741, 192956, 17800, 23173, 87311, 142170, 6, 21106, 54260, 1211, 4, 2200, 7243, 1285, 224220, 1982, 24295, 215726, 3120, 6, 64260, 1285, 564, 54260, 20315, 178748, 28726, 4944, 4484, 54260, 28320, 22639, 54260, 119132, 5, 4484, 35596, 161829, 2200, 101251, 1982, 93704, 23174, 28320, 37922, 22426, 105780, 35465, 4, 2205, 119055, 13845, 107581, 1285, 6, 95494, 7201, 17310, 2702, 29659, 52480, 17310, 68313, 1751, 75230, 1211, 1470, 54260, 5666, 8903, 31249, 120467, 1211, 5, 564, 54260, 4151, 184639, 6235, 28726, 8903, 5927, 54260, 2882, 119055, 77188, 22753, 6, 23173, 75230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 8903, 225164, 2205, 4151, 56170, 2050, 3120, 22639, 150349, 9221, 215726, 5, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 13556, 119718, 120467, 28415, 8947, 6, 84577, 119718, 7682, 1644, 12483, 7746, 10676, 115556, 16667, 4151, 7201, 23173, 109226, 2200, 8903, 94741, 20260, 12483, 4, 199145, 86510, 6093, 7369, 4151, 4484, 35596, 2205, 1285, 56170, 16629, 2648, 16667, 18415, 2200, 6, 238144, 2882, 80885, 29771, 12890, 87442, 1211, 220224, 123073, 45521, 2808, 7682, 54260, 28320, 3069, 6, 199511, 657, 71616, 4, 84475, 2190, 17017, 71616, 2819, 199145, 2442, 54260, 104238, 2200, 9721, 54260, 16932, 8947, 119055, 53414, 220224, 23269, 27702, 68566, 33225, 2200, 220224, 1211, 185527, 3120, 21776, 26612, 2932, 52541, 4, 21106, 7611, 10339, 39083, 88660, 2865, 114436, 119055, 53414, 4, 7243, 133190, 220224, 23269, 174538, 12483, 3120, 6319, 75322, 6293, 2200, 3069, 22426, 59929, 17310, 3069, 4151, 101251, 8903, 1982, 17310, 4, 133190, 1470, 75230, 4667, 1285, 22639, 6093, 192956, 56170, 119718, 84577, 95494, 23741, 69355, 10676, 115374, 7265, 4151, 101251, 8903, 1982, 17310, 199145, 7508, 23174, 21295, 70845, 4838, 68550, 4, 6428, 5, 506, 5, 36324, 35189, 6235, 94741, 20260, 6, 159696, 15388, 1285, 4838, 144532, 125897, 123736, 12890, 87442, 1211, 4269, 54260, 2882, 6, 21106, 7611, 86510, 6093, 40653, 2205, 26612, 27702, 29659, 52480, 16932, 120202, 95494, 8300, 17310, 2200, 27702, 10918, 17310, 3069, 6, 64260, 1285, 123736, 12890, 87442, 1211, 4, 9424, 119718, 65689, 159696, 1644, 107581, 7369, 6235, 7916, 13497, 7746, 4, 2205, 6, 47351, 1470, 54260, 5666, 190135, 1211, 192183, 2882, 129071, 7265, 220224, 4, 7265, 183512, 123073, 119055, 6093, 16932, 4, 1285, 6319, 119718, 62067, 131044, 3120, 1285, 4151, 7201, 23173, 109226, 2200, 174538, 12483, 69355, 6319, 75322, 6293, 4269, 54260, 2882, 40653, 2205, 4838, 3523, 54260, 6093, 6319, 119718, 14081, 131044, 4, 292, 2205, 4838, 27702, 29659, 52480, 28320, 8903, 46590, 4, 1054, 120467, 6319, 68558, 220224, 1211, 364, 59929, 4, 3944, 30750, 1470, 5, 2808, 5, 119718, 5, 199145, 86510, 6093, 6, 64260, 1285, 6235, 46590, 1211, 4852, 171428, 4, 6, 21106, 7611, 21776, 21106, 34533, 152185, 3056, 1285, 6, 95494, 7201, 17310, 4, 6, 238144, 1644, 6, 21106, 7611, 3523, 216510, 2200, 56170, 119718, 41595, 6093, 21923, 6428, 47351, 10676, 115374, 1285, 123736, 12890, 87442, 1211, 4, 7265, 119055, 13845, 107581, 7369, 120202, 6093, 54196, 1982, 54260, 220224, 1211, 6, 95494, 33225, 4, 2200, 6, 21106, 7611, 119055, 77188, 86070, 6093, 2200, 3523, 34365, 192956, 2442, 3056, 22753, 56170, 10676, 88660, 1644, 87442, 710, 119718, 4, 6, 238144, 1644, 6, 21106, 7611, 9721, 54260, 16932, 2200, 4838, 122868, 63593, 54260, 59461, 3056, 1285, 4151, 4484, 35596, 161829, 4, 2808, 75230, 6293, 119055, 13845, 104238, 22753, 564, 165592, 54196, 7746, 2200, 119055, 13845, 107581, 3056, 163139, 4944, 46545, 56170, 4151, 4269, 48904, 89930, 8903, 39293, 1644, 95494, 23741, 4, 6, 21106, 7611, 27702, 119718, 71616, 30473, 29171, 6093, 2200, 27702, 506, 6093, 3131, 16932, 3056, 1470, 75230, 4667, 1285, 6, 95494, 7201, 17310, 2702, 67826, 2865, 17310, 5, 10069, 1470, 41595, 100495, 42180, 3056, 36324, 75230, 4838, 68550, 4838, 6, 149364, 55823, 146873, 6, 218872, 4113, 3120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 46590, 17537, 8009, 48904, 4484, 4, 1054, 120467, 1054, 77188, 4, 6, 57277, 39340, 4151, 7201, 23173, 4, 1470, 75230, 4667, 56170, 119718, 9221, 21733, 91595, 47833, 4838, 7201, 23173, 7201, 39083, 88660, 2865, 16932, 160238, 2050, 3120, 16175, 40096, 5, 35189, 32054, 29771, 26394, 2702, 42542, 1470, 75230, 2702, 8903, 13982, 93449, 119055, 53414, 2205, 4151, 10339, 39083, 2932, 213952, 6093, 160238, 2865, 109316, 12, 177274, 6, 104274, 37016, 17310, 4, 148932, 119166, 16803, 6, 159696, 24152, 4, 177274, 6, 95494, 7201, 17310, 4, 3056, 4838, 88660, 2865, 22426, 1644, 13805, 3120, 1285, 174538, 12483, 3120, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 4, 119055, 13845, 107581, 4151, 22639, 10069, 119718, 56570, 10705, 2050, 6235, 7916, 13497, 37729, 56170, 16629, 2648, 65482, 1285, 25207, 146873, 2200, 22639, 79761, 87442, 4113, 4269, 54260, 175483, 4113, 224220, 1982, 24295, 215726, 2702, 4, 3069, 119055, 13845, 107581, 7369, 119055, 77188, 6235, 29659, 75230, 46053, 4, 37729, 1285, 4838, 144532, 125897, 101296, 16932, 710, 109316, 101251, 105235, 16747, 1211, 2200, 37729, 1285, 4, 3120, 220224, 6235, 95494, 7201, 65482, 4, 10184, 4852, 40697, 4151, 7201, 23173, 109226, 4, 3120, 119055, 13845, 107581, 3373, 26, 84577, 119718, 7682, 1644, 12483, 7746, 1285, 224220, 22426, 28726, 13805, 1211, 3120, 178766, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 2200, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 5, 35189, 119055, 77188, 3120, 6, 64260, 4151, 6, 95494, 7201, 17310, 3056, 21776, 71804, 15231, 119718, 3069, 4151, 6319, 119718, 62067, 131044, 92500, 6319, 119718, 14081, 131044, 3120, 4151, 21776, 21106, 6093, 4151, 4484, 35596, 161829, 40653, 1285, 123736, 12890, 87442, 1211, 4, 144754, 119055, 13845, 107581, 18225, 120202, 6093, 54196, 2205, 11265, 2200, 21776, 71804, 15231, 119718, 3069, 10676, 199184, 4, 199145, 10069, 6235, 39293, 1644, 95494, 23741, 42542, 3120, 6, 64260, 4151, 4151, 4484, 35596, 161829, 57973, 5, 10069, 178748, 28726, 4944, 4484, 54260, 28320, 3069, 6235, 119718, 710, 49008, 215031, 4151, 4484, 35596, 161829, 2200, 3069, 196979, 20315, 2050, 199184, 4, 199145, 10339, 39083, 98833, 3120, 11265, 21923, 4, 163139, 35189, 4, 116486, 204403, 29025, 101328, 151227, 3069, 4151, 13458, 54260, 158652, 54260, 2882, 3120, 10676, 115556, 16667, 6681, 105235, 1644, 109226, 2200, 3069, 4151, 86510, 4484, 54260, 2882, 3120, 4852, 54260, 23269, 6235, 46590, 1211, 5, 1019, 3523, 5, 874, 5, 15857, 2648, 29771, 119718, 120467, 364, 23173, 87311, 7511, 86733, 8947, 21923, 4151, 1982, 54260, 1285, 27702, 10918, 109226, 9424, 119718, 65689, 1285, 1982, 165592, 88917, 123073, 7265, 97594, 35189, 7265, 4151, 4269, 48904, 89930, 6235, 39293, 1644, 95494, 23741, 4, 2200, 1285, 27702, 10918, 109226, 69355, 10676, 4269, 48904, 64213, 6319, 39083, 87442, 710, 119718, 4, 3069, 1285, 6235, 39293, 64213, 3120, 4151, 6, 84577, 119718, 7682, 1644, 17310, 3120, 1285, 29771, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 4, 6, 21106, 7611, 17288, 104238, 21923, 1285, 6235, 39293, 1644, 95494, 23741, 192956, 6, 95494, 7201, 109226, 4, 6, 21106, 7611, 17824, 183512, 17645, 168155, 3056, 1285, 6235, 2865, 54260, 5666, 235210, 4113, 6, 95494, 7201, 17310, 2702, 67826, 2865, 17310, 4, 1285, 2865, 91595, 125897, 3373, 29771, 10918, 21106, 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 ]
[ 1470, 41595, 100495, 42180, 5, 661, 16, 85465, 200117, 213952, 6, 208048, 1644, 15533, 54196, 10676, 27702, 68566, 6293, 1470, 41595, 100495, 42180, 4, 3056, 194706, 7243, 133190, 10705, 24621, 2932, 44779, 70845, 120202, 13342, 1644, 54260, 4484, 171428, 4, 163139, 95455, 97483, 12483, 1285, 119055, 15096, 2932, 20961, 67882, 16932, 137218, 7972, 119364, 4, 159696, 1644, 107581, 21422, 12483, 6, 238144, 16932, 1285, 46711, 93704, 710, 42180, 2702, 3120, 1285, 6, 42021, 69336, 119364, 4, 133190, 56170, 75290, 2882, 4, 62808, 4151, 39293, 12483, 4, 36324, 1285, 1470, 41595, 100495, 42180, 46440, 2882, 2205, 98478, 4838, 3373, 4667, 4838, 163139, 40920, 123329, 6093, 39083, 4113, 4, 163139, 18225, 37826, 6235, 2865, 54260, 13497, 5, 22753, 3056, 1285, 27702, 21847, 54260, 16932, 1211, 3120, 6, 17645, 35465, 17190, 1982, 16667, 22426, 90848, 26394, 2702, 4, 2205, 119055, 13845, 12984, 3373, 26, 68313, 4151, 23847, 54260, 40920, 6235, 119718, 29766, 1211, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 40653, 35189, 1470, 54260, 2932, 114436, 161048, 30473, 80885, 69106, 2200, 40653, 4151, 4151, 3131, 54260, 3111, 23405, 3120, 10676, 1470, 54260, 8903, 119132, 6255, 5, 22753, 3056, 107020, 48904, 35596, 2205, 6, 17645, 35465, 6, 95494, 33225, 4, 132025, 8903, 506, 75230, 18406, 3120, 10676, 4838, 1982, 34575, 129071, 119364, 6428, 135118, 12483, 4, 78278, 4151, 192183, 25616, 29060, 82576, 206994, 15, 29771, 75578, 7243, 2205, 20315, 2050, 10213, 48974, 2702, 171433, 65689, 874, 34533, 65689, 6, 109995, 194, 17645, 35189, 874, 174121, 2865, 40096, 123329, 6, 238144, 16803, 36324, 4838, 874, 174121, 2865, 40096, 40697, 6, 84577, 20315, 4484, 17310, 4, 84475, 10069, 657, 48350, 17310, 3120, 1751, 159696, 25207, 874, 174121, 2865, 40096, 40697, 116486, 130929, 51723, 107776, 2205, 4838, 6, 87311, 96302, 159696, 1211, 18225, 4151, 46590, 2882, 162726, 34365, 46598, 5332, 22426, 13159, 4838, 67826, 2865, 17310, 4, 119055, 12483, 8947, 204982, 7265, 4838, 87311, 28726, 22426, 13159, 4838, 10339, 21106, 1470, 54260, 1211, 5, 6, 64260, 1285, 67826, 2865, 17310, 4, 199145, 6, 94741, 40920, 7746, 1470, 75230, 2702, 4, 36324, 22753, 107776, 22426, 12666, 26394, 2050, 4, 37826, 2205, 6, 47351, 88771, 4838, 6, 71804, 23405, 235210, 4113, 22639, 6093, 192956, 6, 84577, 119718, 7682, 1644, 17310, 4, 119055, 13845, 4944, 37016, 177148, 37729, 6, 59929, 29771, 10918, 215726, 2702, 4, 6681, 21847, 54260, 12984, 2200, 56170, 16629, 2648, 65482, 4269, 54260, 175483, 4113, 224220, 1982, 45619, 2442, 109226, 2819, 119055, 12483, 4151, 32054, 29771, 26394, 2702, 4151, 23847, 54260, 40920, 4838, 6235, 119718, 710, 36419, 364, 75230, 4667, 107776, 4151, 29659, 75230, 2702, 73784, 6, 95494, 33225, 5, 2648, 120467, 207013, 55242, 12483, 20033, 1470, 75230, 4667, 564, 54260, 221067, 206994, 6093, 5, 8947, 107776, 123736, 23741, 2808, 75230, 2702, 3069, 364, 53414, 4, 163139, 221067, 24377, 82576, 4, 9915, 54260, 35189, 4, 220224, 61397, 101296, 104238, 4, 22639, 163177, 43178, 52541, 77518, 119055, 12483, 1285, 4151, 4484, 35596, 161829, 40653, 27702, 111179, 188201, 2190, 1982, 8903, 1982, 109226, 2200, 4151, 3131, 54260, 5666, 109226, 37826, 4151, 23847, 54260, 40920, 11265, 52059, 117397, 215726, 2205, 10676, 115556, 16667, 4269, 54260, 16803, 35189, 23847, 54260, 40920, 7369, 37729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10676, 123736, 23741, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 3120, 124724, 87442, 6093, 2200, 101251, 144754, 22849, 23173, 6093, 15, 2648, 5, 506, 5, 1470, 41595, 100495, 15231, 159696, 2442, 16, 4151, 4484, 35596, 161829, 2200, 1285, 45521, 2808, 7682, 54260, 2882, 22639, 150349, 9221, 54196, 13342, 119055, 53414, 3069, 74806, 200651, 28320, 2200, 3069, 33960, 18406, 4838, 6319, 171127, 44478, 65689, 1470, 75230, 92904, 43082, 1470, 75230, 4667, 3069, 2702, 1982, 47912, 4, 3069, 4151, 3131, 54260, 5666, 109226, 2200, 6235, 36326, 161829, 1211, 7265, 119055, 13845, 107581, 7369, 3056, 125523, 2205, 4852, 54260, 1211, 98478, 7243, 6, 130991, 2205, 6319, 54260, 1211, 44917, 76216, 35596, 1211, 192183, 2882, 129071, 4, 119055, 13845, 107581, 21923, 3523, 54260, 92500, 1470, 75230, 101608, 44779, 56170, 16629, 35465, 4, 95298, 163139, 76961, 2702, 230764, 4151, 6, 159696, 21295, 4, 57973, 220224, 1470, 75230, 4667, 26612, 22639, 6093, 192956, 1751, 54260, 14540, 2200, 4838, 6235, 119718, 710, 36419, 64769, 28726, 4944, 4484, 54260, 2882, 3069, 4231, 65482, 4, 9424, 119718, 65689, 119055, 13845, 107581, 6093, 37826, 6235, 28726, 47332, 2200, 119055, 13845, 107581, 57973, 40026, 6093, 230764, 70845, 6235, 101296, 40920, 1285, 1470, 54260, 16747, 55049, 1211, 119718, 120467, 7369, 37826, 1751, 75230, 1211, 4838, 21087, 123559, 33716, 5, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 19251, 92500, 14856, 4944, 48904, 123329, 220264, 7265, 4838, 86510, 6093, 27702, 2932, 54260, 82576, 17310, 2200, 3944, 30750, 6, 159696, 15388, 220224, 6093, 23173, 1982, 29060, 2200, 220224, 4151, 8300, 54260, 67873, 6, 159696, 15388, 86510, 4113, 6235, 46590, 1211, 2200, 56170, 16629, 2648, 65482, 5332, 87311, 42180, 2702, 4, 119718, 120467, 220224, 98478, 40653, 564, 54260, 220224, 6093, 6, 95494, 33225, 4, 9747, 8947, 170479, 95298, 6, 104378, 215031, 56052, 6, 95494, 7201, 17310, 2702, 67826, 2865, 17310, 4, 65146, 4151, 199145, 6, 95494, 23741, 4, 220224, 1211, 40026, 6093, 72577, 564, 233364, 13497, 144754, 220224, 1211, 10339, 26612, 4667, 2200, 4151, 23847, 54260, 12984, 2205, 4151, 6, 120749, 17310, 4838, 6235, 119718, 710, 36419, 6, 48775, 105780, 54196, 4484, 54260, 2882, 5, 168155, 10339, 21106, 3131, 3056, 4151, 7201, 23173, 1285, 874, 54260, 3111, 23405, 36324, 7369, 62078, 42180, 4, 6428, 135118, 12483, 2200, 4151, 4484, 35596, 161829, 57973, 7243, 3069, 160204, 7265, 1470, 41595, 100495, 42180, 4, 84475, 36324, 220224, 21923, 220273, 4151, 506, 52349, 4667, 3120, 11265, 4, 2205, 6, 47351, 88771, 65146, 1211, 1285, 564, 109316, 65848, 119364, 4, 1285, 4944, 16932, 4, 6, 87311, 44478, 2200, 192575, 123329, 4, 119055, 13845, 107581, 18225, 364, 186955, 56170, 1285, 114955, 3120, 4151, 7508, 54260, 59461, 1470, 41595, 100495, 42180, 4, 1982, 165592, 31623, 1211, 4838, 3373, 4667, 163139, 46053, 2200, 4838, 3373, 4667, 192183, 25616, 4113, 18415, 21776, 21106, 34533, 40697, 160238, 105235, 1644, 17310, 2702, 4, 29771, 35189, 6428, 135118, 17310, 2702, 6319, 48775, 23741, 2819, 220224, 65146, 1211, 6, 168155, 4838, 3373, 4667, 224220, 1982, 24295, 52541, 2200, 193178, 6, 59929, 4667, 1470, 75230, 2702, 25207, 4944, 43178, 109226, 4, 78278, 220224, 6, 95494, 33225, 5332, 22426, 13159, 152, 1285, 137, 4484, 21106, 18415, 6428, 135118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2004, 163139, 35189, 4, 159696, 1644, 107581, 18225, 364, 186955, 43449, 75230, 4852, 56170, 1285, 160238, 29659, 54260, 6093, 3120, 7369, 62078, 42180, 4, 65146, 1211, 27702, 30473, 64213, 2442, 54260, 107581, 4, 86510, 4113, 2200, 56170, 8300, 238144, 2932, 18415, 6, 59929, 29771, 10918, 215726, 2702, 4, 10339, 84577, 165592, 17645, 2200, 67826, 2865, 17310, 5, 6, 148222, 41595, 100495, 42180, 199145, 18225, 874, 171433, 137377, 39083, 15533, 54196, 56170, 1285, 6319, 171127, 44478, 65146, 18133, 46985, 564, 54260, 10069, 6428, 135118, 6093, 220224, 1211, 43649, 23173, 75290, 4, 163139, 564, 54260, 4231, 65482, 4, 6, 238144, 1644, 95455, 6, 95494, 33225, 3120, 6428, 135118, 6093, 68313, 4838, 1982, 34575, 34882, 16932, 4, 1285, 174538, 12483, 7265, 119055, 13845, 107581, 220224, 120202, 6093, 52541, 101251, 144754, 22849, 23173, 6093, 92500, 220224, 196979, 7243, 6319, 54260, 1211, 11211, 108968, 3120, 6319, 54260, 1211, 192183, 25616, 4113, 18415, 226467, 2200, 2702, 8300, 65482, 2702, 4, 220224, 6093, 6, 95494, 33225, 6, 172060, 185226, 163139, 95455, 6, 95494, 33225, 3120, 83031, 26, 2648, 125897, 4, 32887, 152848, 112690, 48350, 174798, 54260, 75578, 4, 15, 2808, 75230, 1982, 220224, 21923, 133190, 54803, 83031, 26, 103023, 2200, 1470, 75230, 2702, 8903, 234221, 32887, 152848, 112690, 48350, 16, 119055, 13845, 107581, 18225, 119055, 23173, 23741, 1470, 75230, 4667, 160238, 4, 36324, 220224, 6, 95494, 33225, 6, 68558, 1470, 41595, 100495, 42180, 4, 506, 64260, 86510, 123073, 67826, 2865, 17310, 2200, 28415, 1470, 41595, 100495, 42180, 4, 163139, 95455, 6, 95494, 33225, 3120, 56170, 16629, 2648, 65482, 160238, 101296, 7972, 119364, 2200, 54745, 78683, 20315, 198093, 4, 199145, 6, 95494, 33225, 6, 68558, 83031, 5, 1982, 54260, 4838, 3373, 4667, 6319, 171127, 44478, 4, 199145, 57973, 6235, 80453, 119718, 36609, 3069, 6, 208048, 1644, 15533, 52541, 10676, 116486, 26394, 2702, 3120, 220224, 6093, 1470, 54260, 8903, 119132, 6, 95494, 33225, 4, 6, 186145, 33225, 20033, 123736, 23741, 1285, 27702, 46685, 4484, 17310, 4, 36324, 2808, 41595, 100495, 42180, 37826, 4838, 6235, 119718, 710, 36419, 7213, 72402, 7265, 4151, 127684, 109226, 5, 177274, 6, 59929, 29771, 10918, 215726, 67172, 47332, 54260, 2882, 6, 57277, 39340, 6, 120749, 7682, 3120, 4151, 127684, 109226, 4, 119055, 13845, 107581, 119055, 53414, 37729, 1982, 26612, 29659, 710, 188201, 4, 192183, 25616, 4113, 18415, 3373, 47912, 4, 37729, 10676, 192183, 2882, 129071, 7265, 6235, 119718, 710, 36419, 123736, 12890, 87442, 710, 159696, 4151, 3131, 54260, 5666, 109226, 2200, 564, 54260, 6235, 119718, 710, 36419, 101251, 105235, 16747, 1211, 6, 23173, 75230, 2702, 8903, 225164, 2819, 2648, 99766, 119055, 905, 4151, 6319, 171127, 44478, 27702, 25391, 135118, 2882, 7746, 95298, 43449, 75230, 4852, 230764, 10676, 4838, 21087, 123559, 61621, 37640, 16667, 5666, 54260, 1285, 4151, 127684, 109226, 4, 3056, 95455, 28415, 16803, 13497, 54260, 1644, 4838, 73095, 50778, 96302, 21106, 92500, 107020, 22426, 26632, 35596, 6, 98683, 6, 183604, 220224, 1211, 4, 95298, 1285, 6, 91595, 4113, 6, 95494, 59919, 40697, 2200, 203013, 4113, 1470, 41595, 100495, 42180, 3056, 4838, 6, 80453, 119718, 905, 4, 37729, 10676, 45495, 62808, 1211, 1285, 6319, 119718, 62067, 131044, 69355, 1285, 4151, 119718, 65285, 23269, 4151, 7201, 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 ]
[ 109226, 4, 2200, 4151, 7201, 23173, 65482, 40653, 28726, 1982, 109226, 4, 26612, 21776, 119718, 39083, 905, 10918, 171433, 53414, 1751, 80453, 17310, 3069, 33960, 18406, 6, 238144, 16932, 4, 3069, 4838, 3523, 54260, 6093, 6319, 119718, 14081, 131044, 4, 3069, 26612, 3523, 54260, 6093, 19024, 18415, 3120, 98478, 2200, 6, 95494, 33225, 5, 10069, 101251, 203749, 40697, 7544, 73215, 69096, 215726, 2702, 4, 199145, 21923, 6235, 95494, 33225, 6235, 119718, 29766, 1211, 4838, 68550, 20315, 2050, 27702, 68566, 6293, 1470, 41595, 100495, 42180, 57973, 4, 163139, 148932, 101251, 203749, 710, 38596, 54260, 2882, 4, 220224, 6093, 6, 141847, 5666, 5, 874, 5, 15857, 2648, 29771, 418, 2702, 63383, 87442, 710, 159696, 6, 203749, 7682, 4, 119055, 13845, 107581, 3056, 4838, 32054, 142429, 905, 20911, 3120, 4151, 163139, 24152, 17310, 4, 199145, 10069, 45521, 69859, 203387, 2200, 9585, 68959, 207221, 39293, 5332, 204403, 4944, 13159, 57973, 40653, 8903, 212484, 2882, 230764, 10676, 4484, 171127, 44478, 4, 6, 159696, 195164, 6, 71804, 8903, 3056, 43649, 188301, 6235, 159696, 1211, 119055, 34882, 1644, 103023, 4, 220224, 1211, 98478, 7243, 25207, 21847, 195164, 7682, 56170, 4852, 29766, 98833, 4, 47783, 120202, 506, 141847, 7682, 3120, 1285, 6319, 71577, 162642, 1211, 3120, 49920, 86733, 4, 119718, 69596, 185758, 213952, 9424, 119718, 65689, 40653, 65848, 30750, 119132, 119055, 75230, 21295, 64567, 4, 2200, 148707, 186145, 46685, 3523, 75230, 2882, 2819, 2648, 120467, 3056, 1285, 6, 71804, 8903, 199145, 4151, 10918, 2882, 119166, 64213, 67882, 104238, 5, 7243, 6235, 98055, 2882, 4151, 75230, 6293, 119718, 120467, 1285, 10213, 80885, 6319, 171127, 44478, 57973, 43649, 188301, 6235, 121865, 1211, 1285, 10339, 21106, 36326, 67882, 95564, 13159, 69355, 4151, 6235, 39293, 1644, 95494, 23741, 2702, 41764, 12130, 4, 57973, 220224, 95298, 4, 236512, 1285, 1470, 75290, 29659, 4151, 87311, 194734, 3373, 47912, 4, 64699, 76961, 4, 2200, 123736, 23741, 44064, 1285, 28415, 21776, 119718, 39083, 92866, 24001, 59461, 21660, 119718, 65689, 220224, 4, 130170, 29659, 710, 56169, 1285, 119166, 10918, 39340, 6, 186461, 16667, 2200, 192556, 850, 4838, 68550, 7746, 4, 6, 238144, 1644, 5666, 29766, 230764, 215031, 185527, 57973, 220224, 241997, 2205, 6, 64260, 1285, 11211, 204403, 84316, 2882, 40697, 6235, 39293, 1644, 95494, 23741, 1211, 4151, 234221, 220224, 6093, 161048, 30473, 80885, 69106, 2200, 56170, 55823, 175483, 1211, 220224, 6093, 41764, 25207, 73215, 163177, 5, 4484, 71577, 710, 21338, 702, 35189, 127684, 109226, 172060, 185226, 163139, 364, 34533, 29766, 40697, 2200, 3373, 29771, 10918, 21106, 4113, 4151, 3131, 54260, 5666, 109226, 6, 84577, 119718, 7682, 1644, 12483, 7746, 2808, 75230, 6293, 4151, 27702, 39293, 3120, 4151, 56170, 240863, 43178, 506, 54260, 2882, 4, 2200, 148932, 6, 29060, 71577, 2205, 4151, 8903, 16629, 4944, 18415, 56170, 87311, 98833, 2205, 7746, 4151, 1982, 54260, 1470, 75230, 4667, 1285, 119055, 29766, 34709, 12483, 3120, 1285, 3069, 17494, 217814, 125897, 8903, 36326, 161829, 1211, 4, 36324, 75230, 3056, 1470, 75230, 4667, 10676, 58573, 3131, 16667, 115222, 2932, 5666, 119718, 23173, 2882, 4838, 116486, 108264, 2882, 3120, 35189, 56170, 240863, 43178, 506, 54260, 2882, 2200, 56170, 87311, 98833, 2205, 7746, 1285, 178748, 28726, 4944, 4484, 54260, 28320, 3120, 4151, 13342, 17494, 217814, 5 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64260, 1285, 2648, 29771, 4852, 125897, 6, 84577, 119718, 7682, 1644, 17310, 3120, 4269, 54260, 175483, 4113, 2200, 10184, 4852, 40697, 6235, 36326, 161829, 1211, 14004, 66293, 115374, 4, 6, 105235, 21295, 7265, 7746, 160238, 10676, 116486, 26394, 2702, 3120, 178766, 16870, 6093, 127684, 109226, 5, 130170, 10676, 27702, 68566, 6293, 4151, 127684, 109226, 6, 94741, 63020, 18225, 95298, 219947, 56170, 29659, 54260, 1211, 43449, 75230, 4852, 1285, 6, 21106, 18415, 1470, 54260, 16747, 55049, 1211, 4, 199145, 21923, 56170, 90536, 18406, 3120, 170355, 12984, 119055, 13845, 107581, 57973, 112216, 2702, 54196, 2205, 4151, 6, 238144, 16932, 56170, 240863, 5927, 54260, 2882, 4, 84475, 133190, 69355, 4231, 65482, 40653, 28726, 1982, 109226, 4, 199145, 18225, 37826, 125523, 2205, 4151, 192544, 506, 54260, 2882, 174246, 2819, 238144, 1644, 148932, 163139, 24152, 17310, 199145, 1285, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 9213, 18406, 1470, 75230, 2702, 230764, 20315, 2050, 115374, 4, 148932, 10184, 4852, 152185, 2200, 4269, 54260, 175483, 6093, 192183, 2882, 129071, 7265, 10676, 23173, 14088, 4, 3056, 4, 1751, 75230, 1211, 37729, 10676, 116486, 26394, 2702, 3120, 220224, 1211, 27702, 159696, 2932, 17310, 6, 21106, 54260, 1211, 4, 1470, 54260, 57619, 54260, 46545, 9213, 115222, 2932, 5666, 119718, 23173, 2882, 9213, 56170, 240863, 43178, 506, 54260, 2882, 4, 2200, 125523, 1470, 54260, 35189, 20033, 57973, 2808, 88680, 8903, 28726, 47332, 4838, 6235, 36326, 161829, 78278, 3069, 11265, 5332, 152848, 4, 364, 54260, 47332, 22753, 1751, 75230, 1211, 6, 68558, 2808, 88680, 2932, 54260, 12483, 2205, 4151, 127684, 17310, 5, 10069, 4151, 127684, 109226, 6, 234221, 7746, 4151, 7201, 23173, 2205, 6, 47351, 2190, 28714, 75230, 29111, 6093, 28726, 12984, 95494, 33225, 4, 6428, 5, 506, 5, 36324, 1285, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 119718, 53414, 2205, 194706, 56170, 119718, 183512, 21295, 6, 17645, 35465, 6, 87311, 96302, 2205, 4838, 3523, 54260, 46598, 3373, 63383, 37016, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 9365, 15231, 119718, 1211, 185527, 3120, 1470, 75230, 7201, 101470, 1285, 6, 238144, 16932, 2648, 125897, 123736, 12890, 87442, 710, 159696, 119718, 710, 24152, 109226, 5, 10069, 1470, 75230, 1982, 23405, 87309, 26612, 4944, 18415, 56170, 119718, 183512, 1644, 17310, 4, 199145, 107776, 160238, 37729, 178766, 123073, 21066, 37016, 46053, 4, 15, 159696, 1644, 107581, 21923, 3120, 220224, 6093, 220224, 2882, 1285, 21776, 92605, 42180, 230764, 657, 71616, 2200, 10705, 17017, 71616, 16, 6, 84577, 119718, 7682, 21295, 3120, 11265, 220224, 2882, 6, 64260, 1285, 21776, 21066, 37016, 46053, 12, 178766, 16870, 6093, 127684, 109226, 4, 199145, 56170, 75290, 149364, 1211, 4, 36324, 75230, 4838, 68550, 4, 7265, 7746, 1285, 163139, 24152, 17310, 69355, 4151, 657, 71616, 2200, 2190, 17017, 71616, 4, 199145, 1285, 40026, 6093, 2648, 125897, 29771, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 57973, 230764, 10676, 115374, 2808, 75230, 2702, 8903, 14004, 47332, 4, 21923, 4231, 65482, 4269, 54260, 175483, 4113, 27702, 159696, 2932, 4484, 48775, 23741, 4, 4231, 114436, 1285, 76776, 2865, 152185, 2808, 127684, 192956, 2442, 90709, 4, 199145, 6, 95494, 23741, 2205, 10676, 115374, 1285, 6, 150349, 21660, 42733, 40697, 14004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 107829, 119718, 56570, 109316, 3523, 54260, 2932, 17310, 3069, 21776, 26612, 2932, 52541, 230764, 220224, 1211, 2808, 54260, 2932, 76776, 33716, 133671, 43649, 54260, 61397, 196991, 4151, 657, 71616, 2200, 2190, 17017, 71616, 4, 119718, 120467, 1285, 6, 238144, 16932, 2648, 125897, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 6, 199511, 70845, 5, 7265, 221895, 119055, 6093, 16932, 152, 1285, 22639, 18415, 16667, 710, 119718, 4484, 54260, 2882, 92500, 1285, 6319, 119718, 84577, 131044, 3120, 1285, 21776, 21066, 37016, 46053, 4, 199145, 119055, 53414, 37729, 1285, 4838, 144532, 125897, 10705, 14857, 18415, 16747, 1211, 6, 72107, 23822, 54196, 2200, 6, 84577, 119718, 7682, 21295, 4, 6, 128540, 7265, 7746, 160238, 1285, 6319, 119718, 21106, 131044, 3120, 178766, 4113, 4151, 127684, 109226, 2819, 292, 2200, 1285, 6, 238144, 16932, 2648, 125897, 6319, 119718, 84577, 131044, 69355, 1285, 4151, 127684, 109226, 6, 95494, 23741, 163139, 35189, 1285, 117902, 18415, 69106, 120202, 13342, 21733, 75230, 18406, 3120, 1285, 23173, 50622, 39340, 163139, 24152, 109226, 1285, 657, 71616, 4, 119055, 13845, 107581, 3056, 3523, 75230, 46545, 56170, 178766, 161048, 30473, 80885, 69106, 4, 2200, 163825, 29060, 2205, 194706, 1470, 75230, 2702, 1285, 21776, 30473, 80885, 69106, 6235, 15388, 6235, 119718, 710, 36419, 10339, 54260, 16747, 192956, 35189, 3131, 54260, 5666, 109226, 4, 199145, 6, 199511, 2190, 17017, 71616, 4, 6428, 5, 506, 5, 36324, 6, 64260, 1285, 3523, 54260, 4113, 6319, 119718, 84577, 131044, 2932, 54260, 2882, 3120, 11265, 220224, 2882, 40653, 2205, 4838, 6, 238144, 16932, 2648, 123329, 6319, 119718, 21106, 131044, 3120, 28415, 7201, 23173, 7201, 39083, 88660, 188201, 2200, 28415, 56170, 3111, 217814, 125897, 21776, 21066, 37016, 46053, 15, 21106, 2702, 6, 29060, 71577, 1211, 2205, 4151, 84577, 119718, 7682, 1644, 17310, 3120, 1285, 21776, 21066, 37016, 46053, 1285, 49008, 4, 163139, 20033, 6, 159696, 67873, 1751, 109636, 16932, 6, 104149, 4, 4151, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 2200, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 194, 36324, 75230, 4838, 68550, 119055, 77188, 27702, 29659, 710, 63532, 1285, 6, 120749, 17310, 2205, 119055, 13845, 104238, 20033, 6, 192539, 1211, 7746, 5, 10069, 56170, 12890, 16747, 17310, 3120, 4151, 56170, 240863, 43178, 506, 54260, 2882, 7265, 4151, 3069, 17494, 217814, 6, 94741, 63020, 29771, 75578, 7243, 6, 95494, 33225, 1285, 170315, 4852, 17645, 4, 36324, 178766, 4269, 54260, 175483, 4113, 6, 84577, 119718, 7682, 1644, 17310, 107776, 7201, 29766, 4, 163139, 95455, 364, 186955, 1285, 41764, 21087, 4944, 29771, 208048, 7972, 39293, 2200, 22639, 10069, 119718, 56570, 21106, 41764, 21087, 4944, 39083, 29771, 46677, 4, 21106, 2702, 4838, 6, 56052, 120202, 8903, 31249, 120467, 65482, 22639, 4113, 238144, 29171, 80885, 27702, 159696, 2932, 17310, 15, 2648, 120467, 3056, 4838, 88660, 13497, 48775, 103023, 42180, 2205, 1470, 10069, 87442, 14088, 4, 6, 238144, 1644, 27702, 159696, 2932, 17310, 364, 54260, 16803, 56170, 12890, 16747, 17310, 2200, 2808, 75230, 21066, 48350, 17310, 247, 84475, 36324, 1285, 3523, 54260, 4113, 1470, 54260, 16747, 55049, 1211, 6, 104378, 160238, 230764, 4838, 14856, 4944, 48904, 65689, 72841, 1211, 2200, 1285, 56170, 240863, 43178, 506, 54260, 2882, 6, 159696, 98833, 40653, 1285, 3523, 54260, 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 ]
[ 6, 192539, 109226, 199145, 10069, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 193178, 2205, 194706, 5, 132, 2648, 120467, 19302, 59929, 42733, 31623, 52541, 1285, 115374, 2205, 4, 9424, 238144, 364, 75230, 22426, 2882, 6, 229459, 2702, 3120, 165592, 75230, 6, 61397, 25046, 65482, 137, 2808, 41595, 90848, 159696, 33716, 1211, 155, 84475, 137, 76776, 29025, 34533, 1211, 155, 15, 1644, 75230, 2882, 32054, 75230, 150715, 32887, 155045, 113889, 203749, 17645, 16, 6428, 5, 506, 5, 3120, 36324, 13845, 107581, 199145, 21923, 131086, 29659, 6235, 159696, 16747, 29060, 3069, 7746, 4, 14004, 54561, 710, 4944, 34533, 13456, 2200, 56170, 17160, 54260, 18406, 137, 29659, 188301, 3373, 63383, 87442, 710, 119718, 155, 15276, 3523, 5, 874, 5, 15857, 2648, 29771, 95766, 220224, 6093, 27702, 10918, 17310, 73784, 98478, 4, 2200, 137, 37016, 16803, 48775, 159696, 33716, 1211, 2004, 199145, 21923, 131086, 29659, 8903, 159696, 16747, 29060, 6, 23173, 75230, 2702, 13342, 2200, 56170, 234221, 7746, 6, 4, 156968, 123736, 12890, 87442, 710, 119718, 2004, 3056, 4151, 7201, 23173, 6, 47351, 4838, 1982, 2702, 39083, 905, 16932, 194706, 8580, 5, 3373, 26, 68313, 27702, 29659, 710, 63532, 2648, 29771, 203013, 4113, 193042, 23405, 119718, 24295, 40697, 2200, 3373, 29771, 10918, 21106, 4113, 22639, 10069, 119718, 56570, 10705, 36258, 4, 6, 159696, 51723, 1285, 1982, 26612, 8300, 54260, 4944, 43178, 17310, 137, 37016, 16803, 48775, 159696, 33716, 155, 1751, 54260, 13497, 216333, 3069, 41764, 192900, 1211, 4, 2200, 3373, 26, 4852, 171428, 7201, 23173, 47351, 30109, 135118, 192956, 48277, 48904, 4944, 39083, 40697, 2200, 6, 59929, 29771, 10918, 21106, 4113, 4, 84475, 6, 84577, 21292, 29771, 10918, 21106, 4113, 96302, 81829, 6, 159696, 51723, 1285, 27702, 8300, 54260, 30741, 17310, 137, 2808, 41595, 90848, 159696, 33716, 155, 215594, 1470, 75230, 2702, 3069, 6, 84577, 3131, 80453, 4113, 12984, 4, 132, 95766, 4151, 163139, 24152, 28726, 4944, 4484, 54260, 2882, 6, 128540, 1285, 115556, 192956, 3496, 23173, 129071, 93497, 6319, 54260, 5666, 2865, 39083, 144754, 7746, 7243, 160238, 6319, 54260, 1211, 137, 2442, 54260, 119132, 78104, 22426, 155, 16, 95298, 564, 54260, 20315, 21923, 43449, 75230, 4852, 230764, 7201, 23173, 16629, 2648, 65482, 2190, 136876, 3373, 63383, 87442, 710, 119718, 2200, 4151, 6, 140495, 2205, 220224, 123073, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 4, 92500, 10676, 185527, 3120, 220224, 6093, 1470, 75230, 7201, 101470, 2200, 21776, 26612, 2932, 52541, 230764, 10184, 4852, 40697, 2200, 2932, 54260, 175483, 4113, 132025, 25207, 2932, 109226, 4, 6428, 5, 506, 5, 220224, 6093, 6, 63383, 87442, 710, 119718, 131044, 155, 68313, 43649, 188301, 4838, 116486, 108264, 2882, 3120, 56170, 16629, 2648, 65482, 123736, 12890, 87442, 710, 159696, 3373, 47912, 2200, 29771, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 194, 7201, 23173, 75290, 2882, 95455, 874, 54260, 13497, 36324, 177274, 6235, 36326, 161829, 2205, 178766, 98478, 37826, 3131, 75230, 1211, 2205, 7746, 6, 21106, 54260, 1211, 1285, 76961, 163139, 35189, 3131, 80453, 905, 12984, 199145, 65146, 1211, 9934, 4667, 37729, 1285, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 6, 84577, 119718, 7682, 1644, 12483, 2200, 22753, 56170, 192539, 1211, 5, 10069, 2190, 28714, 75230, 29111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 192956, 27702, 159696, 2932, 109226, 2200, 6, 192539, 109226, 2205, 4151, 6, 76776, 29631, 92500, 2205, 115374, 6, 104378, 160238, 37729, 3373, 47912, 2200, 10339, 39083, 15388, 5, 177274, 10339, 39083, 8903, 3056, 26612, 56170, 5666, 54260, 3111, 23405, 3120, 4151, 157175, 4, 22753, 107776, 230764, 10676, 6, 99766, 3120, 4151, 157175, 92500, 56170, 192539, 2882, 22753, 4, 95298, 56170, 192539, 213952, 1285, 157175, 4, 27702, 506, 186955, 2205, 7746, 10069, 10339, 39083, 8903, 36324, 13845, 107581, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 4, 1054, 120467, 21923, 124724, 87442, 56170, 1982, 88917, 1211, 7265, 10676, 4944, 23173, 129071, 6093, 2200, 7265, 4151, 163139, 24152, 17310, 3120, 4151, 157175, 5, 44064, 1285, 115222, 2932, 23405, 48350, 21660, 158652, 54260, 2882, 3120, 1285, 3523, 54260, 4113, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 3069, 1285, 6, 21106, 18415, 3056, 1470, 75230, 4667, 120202, 506, 141847, 7682, 69355, 4151, 163139, 24152, 17310, 3120, 1285, 6, 21106, 18415, 4, 3120, 4151, 157175, 5, 165592, 75230, 55242, 12483, 20033, 163139, 1285, 4838, 122868, 63593, 54260, 23269, 4, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 3120, 2808, 54260, 1211, 19302, 59929, 4, 2200, 1285, 6235, 2865, 54260, 5666, 235210, 4484, 54260, 2882, 3120, 1285, 3373, 47912, 4, 199145, 163139, 24152, 1211, 230764, 220224, 23269, 14004, 107829, 119718, 56570, 109316, 7265, 97594, 35189, 4, 6, 95494, 23741, 1285, 64769, 28726, 4944, 4484, 54260, 2882, 3120, 220224, 123073, 4151, 7201, 23173, 109226, 2200, 10676, 2190, 99611, 68558, 3120, 220224, 123073, 1751, 186145, 1982, 109226, 5, 95455, 21847, 54260, 12984, 119055, 77188, 1285, 7201, 23173, 119718, 710, 24152, 28726, 4944, 17310, 15, 2648, 5, 506, 5, 1285, 3523, 54260, 4113, 10339, 39083, 8903, 16, 3120, 6, 64260, 6, 196332, 2865, 54260, 5666, 235210, 4113, 1751, 186145, 1982, 109226, 4, 15, 119718, 120467, 163825, 1211, 1751, 75230, 1211, 182261, 1285, 3523, 54260, 4113, 157175, 16, 16175, 54260, 1644, 238144, 4852, 56170, 3131, 159696, 33716, 37729, 1285, 56170, 16629, 2648, 65482, 82977, 183718, 1211, 2205, 1285, 4151, 127684, 109226, 69355, 27702, 46464, 83182, 4113, 6, 139485, 22426, 9221, 109226, 2200, 22639, 10069, 119718, 56570, 109316, 7265, 97594, 35189, 4, 1285, 4151, 127684, 109226, 199145, 6, 225164, 6, 23173, 75230, 2702, 1285, 115222, 2932, 54561, 54260, 46545, 4113, 7508, 54260, 1982, 17310, 1211, 9424, 119718, 65689, 6, 64260, 1285, 7265, 97594, 35189, 2819, 2200, 16175, 54260, 1644, 238144, 4852, 56170, 7201, 39083, 88660, 63532, 37729, 4151, 84087, 4852, 54260, 46545, 54260, 2882, 3120, 1285, 7201, 23173, 16629, 2648, 65482, 4151, 7201, 23173, 109226, 4, 2200, 4151, 7201, 23173, 1470, 75230, 4667, 3120, 1285, 174538, 12483, 4, 119718, 120467, 220224, 27702, 30473, 64213, 230764, 20632, 4151, 23847, 54260, 12984, 10069, 6235, 2865, 54260, 5666, 235210, 4113, 1751, 186145, 1982, 109226, 5, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 18825, 20315, 87311, 21295, 119055, 12483, 1285, 17824, 106559, 117578, 13159, 1211, 21923, 4838, 122868, 63593, 54260, 23269, 4, 46050, 15388, 1285, 204403, 30473, 15231, 159696, 21776, 124740, 57277, 28320, 10676, 40653, 8903, 119718, 710, 40920, 5, 1982, 64260, 36326, 657, 75230, 2882, 10676, 7369, 29659, 1211, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 181615, 51678, 1285, 17824, 106559, 117578, 13159, 1211, 3120, 2702, 29771, 10918, 21106, 4113, 56170, 12890, 152848, 18415, 220224, 1211, 56170, 63864, 170355, 40920, 37729, 6, 119859, 69106, 56170, 16629, 2648, 65482, 3373, 47912, 4, 119718, 710, 4838, 43649, 54260, 61397, 1285, 6235, 2865, 54260, 5666, 235210, 4484, 54260, 2882, 9424, 119718, 65689, 1285, 3373, 29771, 10918, 21106, 4113, 117578, 13159, 1211, 3120, 20315, 2050, 116486, 28726, 57277, 12415, 40096, 2200, 3120, 1285, 22639, 18415, 1644, 87442, 905, 21106, 1211, 4, 21923, 95298, 6, 64260, 1285, 7201, 23173, 16629, 2648, 65482, 3373, 47912, 76961, 10339, 39083, 15388, 3120, 1470, 54260, 1211, 10339, 54260, 6093, 2648, 123329, 4838, 122868, 63593, 54260, 59461, 157175, 4, 132, 10069, 6319, 71577, 15907, 21106, 34533, 40697, 6, 208048, 53171, 4113, 16, 220224, 21923, 76961, 6, 84577, 15907, 48350, 13159, 3120, 1470, 54260, 1211, 56703, 850, 21527, 2648, 123329, 32887, 39293, 4, 2200, 163825, 1211, 4151, 7201, 23173, 6, 47351, 4838, 122868, 63593, 54260, 23269, 15857, 194734, 39293, 5, 10069, 15857, 194734, 39293, 4, 119055, 13845, 107581, 3056, 6, 47351, 4838, 50778, 18415, 39293, 3120, 4151, 4838, 50778, 18415, 39293, 4, 4838, 7201, 23173, 5666, 54260, 3111, 23405, 3120, 4151, 56170, 5666, 54260, 3111, 23405, 4, 56170, 142196, 1644, 56169, 2205, 10676, 4838, 122868, 63593, 54260, 119132, 78683, 2865, 6293, 1285, 22639, 10069, 119718, 56570, 109316, 130170, 16629, 35465, 2200, 6, 95494, 23741, 4838, 6235, 2865, 54260, 5666, 235210, 4113, 364, 23173, 87311, 142170, 69355, 1285, 27702, 46464, 83182, 4113, 4838, 83182, 38596, 54260, 28320, 4, 119055, 13845, 107581, 6, 159696, 67873, 1751, 109636, 16932, 98252, 104378, 4, 95766, 4838, 3523, 54260, 6093, 4, 17288, 104238, 6093, 4, 3373, 29771, 10918, 21106, 34533, 152185, 160238, 2050, 3120, 32054, 54260, 46598, 2200, 84087, 4852, 54260, 46545, 1211, 6, 95494, 33225, 5, 10069, 4151, 127684, 109226, 16175, 54260, 67873, 7746, 2205, 4838, 6, 56052, 112216, 21087, 119718, 2200, 6, 129071, 710, 119718, 4, 10676, 129071, 710, 119718, 1211, 16175, 54260, 1644, 6, 128540, 7265, 7746, 160238, 1285, 4151, 7201, 23173, 109226, 4, 119055, 13845, 107581, 4151, 115556, 3111, 56169, 1470, 75230, 2702, 2205, 10676, 1470, 75230, 2702, 44693, 35465, 220224, 23269, 174538, 12483, 3120, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 4, 35189, 112216, 21087, 159696, 2442, 16175, 54260, 1644, 3120, 1285, 4151, 127684, 109226, 27702, 29659, 54260, 2882, 3120, 36324, 13845, 107581, 4151, 7201, 23173, 109226, 4, 199145, 57973, 7746, 1751, 75230, 1211, 120202, 8903, 3111, 56169, 2200, 21923, 28415, 7243, 3069, 8903, 22426, 59929, 2882, 3069, 1285, 3523, 54260, 4113, 101251, 105235, 16747, 1211, 3120, 10676, 115374, 5, 15, 35189, 27702, 68566, 6293, 112216, 21087, 119718, 131044, 56170, 117397, 77188, 7243, 10676, 6235, 39293, 7611, 3120, 4838, 122868, 63593, 54260, 59461, 2200, 1470, 54260, 159377, 139365, 26612, 159696, 2932, 17310, 4, 6, 238144, 1644, 3373, 54260, 112216, 21087, 119718, 131044, 2200, 3373, 54260, 6, 129071, 710, 119718, 131044, 21923, 43449, 75230, 69855, 13845, 40096, 710, 159696, 27702, 68566, 33225, 4, 220224, 27702, 8300, 54260, 4944, 171428, 43449, 75230, 4852, 56170, 16629, 2648, 65482, 165284, 33225, 3120, 1982, 26612, 159696, 2932, 17310, 5, 56170, 75290, 2882, 4, 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 ]
[ 68558, 4151, 21776, 71804, 15231, 119718, 131044, 3120, 112216, 21087, 119718, 2200, 6, 129071, 710, 119718, 3056, 10705, 2865, 43178, 44779, 177274, 27702, 159696, 2932, 17310, 5, 6, 238144, 1644, 6, 47351, 4838, 1982, 2702, 39083, 905, 16932, 34076, 54260, 4944, 8903, 119718, 710, 40920, 9424, 119718, 65689, 1285, 7201, 23173, 16629, 2648, 65482, 160238, 51723, 3120, 27702, 159696, 2932, 17310, 119055, 39083, 2882, 564, 40096, 54260, 2882, 48706, 40096, 710, 38596, 54260, 2882, 5, 6, 172060, 185226, 119718, 710, 8947, 5332, 65442, 34533, 54196, 7243, 6319, 54260, 1211, 48706, 40096, 710, 38596, 54260, 2882, 4, 5332, 65442, 34533, 54196, 4151, 7201, 23173, 1470, 75230, 4667, 219947, 6319, 54260, 1211, 34076, 54260, 4944, 8903, 119718, 710, 40920, 16, 1285, 4151, 127684, 109226, 21923, 4838, 210228, 3120, 6319, 48775, 23741, 92500, 6, 84577, 119718, 7682, 1644, 17310, 4, 119055, 12483, 4151, 115556, 20632, 56169, 220224, 4838, 75386, 4838, 174538, 2205, 10676, 238144, 16932, 103023, 1211, 6319, 75322, 6293, 4, 95298, 241662, 119055, 12483, 220224, 57973, 6235, 188301, 2882, 220224, 6093, 6428, 171127, 4, 94741, 63020, 7369, 220224, 564, 165592, 54260, 46545, 1211, 2200, 193178, 170791, 56170, 3523, 54260, 4113, 4, 6, 238144, 1644, 1285, 39293, 1644, 30750, 4151, 127684, 109226, 21923, 4838, 210228, 3120, 54745, 2932, 114436, 215726, 4, 119055, 12483, 4151, 115556, 43449, 54260, 186466, 8580, 220224, 6, 105235, 38249, 5, 2648, 120467, 98478, 2205, 1285, 17824, 76632, 64213, 3120, 1285, 112216, 21087, 159696, 4151, 127684, 109226, 4, 6, 172060, 185226, 119718, 710, 95455, 98252, 1470, 54260, 113889, 18415, 51723, 10676, 1470, 54260, 8903, 119132, 123736, 105439, 4, 235466, 6, 68558, 4838, 56170, 75290, 18415, 120749, 17310, 2205, 4151, 27702, 159696, 2932, 17310, 3120, 4151, 115556, 192956, 2442, 6, 84577, 119718, 7682, 1644, 17310, 4, 2200, 1982, 92605, 177148, 4838, 119055, 141943, 17310, 199145, 56170, 7511, 40920, 29060, 220224, 1211, 4269, 54260, 16803, 5, 5666, 5, 874, 5, 15857, 2648, 29771, 363, 10069, 112216, 21087, 159696, 4151, 127684, 109226, 21923, 4151, 7508, 7682, 13342, 2932, 2205, 10676, 115556, 16667, 78683, 2865, 6293, 56170, 161048, 30473, 80885, 69106, 2200, 4, 163139, 564, 54260, 6, 17645, 35465, 7508, 7682, 13342, 2932, 4, 4269, 54260, 2882, 4151, 238144, 1644, 6, 148222, 45619, 10918, 40096, 710, 159696, 40653, 73784, 6235, 2932, 59461, 4, 3069, 1285, 10339, 54260, 13497, 192956, 90709, 850, 4, 199145, 6, 159696, 67873, 3131, 75230, 1211, 4151, 21733, 53414, 220224, 6093, 160238, 101296, 93509, 2200, 6, 199511, 10676, 190800, 7201, 21106, 4, 1470, 75230, 1982, 4151, 96302, 3131, 119055, 29060, 27702, 8300, 54260, 2882, 16667, 7746, 7243, 3496, 71577, 1211, 4151, 75230, 6293, 5, 95766, 4151, 3944, 16932, 40096, 14303, 119055, 53414, 36324, 13845, 107581, 9424, 79238, 16932, 6093, 40697, 163139, 24152, 109226, 23173, 75230, 2702, 8903, 1982, 48775, 40920, 2205, 10676, 1751, 88917, 4, 119055, 905, 1285, 45223, 35465, 6, 234221, 7746, 2205, 1470, 54260, 1211, 35189, 87311, 49008, 4, 2200, 2205, 4151, 73095, 50778, 96302, 21106, 6093, 3944, 16932, 40096, 14303, 4, 119055, 13845, 107581, 67882, 40920, 69355, 1285, 4151, 127684, 109226, 4838, 6, 56052, 52059, 2882, 5, 6, 64260, 215031, 3944, 16932, 40096, 14303, 32887, 2865, 22426, 2882, 120202, 20315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2050, 115556, 16667, 6428, 135118, 17310, 2702, 6319, 48775, 23741, 2200, 6, 129071, 710, 119718, 131044, 2200, 56170, 119718, 183512, 21295, 70845, 95766, 4838, 43449, 54260, 12984, 4, 6, 71804, 23405, 238144, 105330, 1211, 46711, 75230, 46685, 5, 10069, 4151, 127684, 109226, 21923, 4151, 67882, 16932, 710, 21106, 4, 3120, 119055, 13845, 12984, 3373, 26, 1982, 26612, 29659, 54260, 12483, 21106, 4113, 4, 3373, 54260, 117902, 30473, 15231, 159696, 4, 3373, 54260, 23050, 119859, 15231, 159696, 160238, 51723, 3120, 178766, 4269, 54260, 16803, 5, 6, 68558, 10069, 4151, 127684, 109226, 119055, 39083, 2882, 101251, 24621, 2932, 44779, 6235, 159696, 1211, 1285, 6, 203749, 7682, 3120, 6428, 135118, 12483, 4, 1285, 59929, 29771, 10918, 215726, 2702, 4, 95455, 84087, 1211, 5, 220224, 163825, 1211, 1470, 75230, 4667, 1285, 27702, 159696, 2932, 109226, 3120, 178766, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 2200, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 220224, 21923, 95455, 4151, 4269, 54260, 175483, 6093, 67882, 16932, 710, 21106, 4, 3120, 119055, 13845, 12984, 8947, 1285, 59919, 43178, 138194, 1211, 7746, 4, 3373, 54260, 1285, 23050, 119859, 15231, 159696, 2200, 3373, 54260, 10069, 117902, 30473, 15231, 159696, 160238, 51723, 3120, 178766, 6, 84577, 119718, 7682, 1644, 17310, 5, 4484, 71577, 710, 21338, 616, 25491, 119718, 71616, 4852, 54260, 1211, 2200, 101251, 25491, 119718, 71616, 4852, 54260, 1211, 2808, 54260, 23269, 3120, 1285, 27702, 46685, 4484, 16667, 159696, 2442, 18415, 32887, 29766, 710, 13159, 2205, 4151, 6, 87311, 35189, 59461, 22426, 21087, 4944, 29771, 203749, 152185, 163139, 2702, 5666, 95494, 23741, 4, 3056, 41764, 63188, 9934, 95494, 23269, 125830, 5, 95766, 220224, 1211, 6, 229340, 137, 1644, 26, 10705, 97634, 2865, 40096, 78653, 94592, 710, 4944, 29771, 212484, 3131, 7682, 2004, 163139, 1470, 75230, 4667, 2205, 6, 148222, 88680, 125897, 6, 159696, 24152, 4, 6, 238144, 4852, 2882, 7369, 6, 68558, 4, 36324, 4151, 130170, 16629, 2648, 9424, 119718, 65689, 4151, 27702, 119718, 71616, 30473, 29171, 6093, 2200, 7243, 27702, 119718, 71616, 30473, 29171, 6093, 6, 129071, 710, 119718, 131044, 4, 15, 17645, 20315, 2932, 54260, 175483, 4113, 6, 218872, 4113, 65146, 6, 23173, 75230, 2702, 225164, 6, 47351, 6, 84577, 3131, 80453, 4113, 4944, 213952, 4113, 10184, 4852, 40697, 6, 129071, 710, 119718, 131044, 16, 27702, 29659, 54260, 2882, 2205, 10676, 4, 199145, 1285, 101251, 1982, 26612, 119718, 71616, 30473, 29171, 4113, 18415, 46545, 54260, 2882, 3056, 4838, 192183, 101608, 119718, 40096, 710, 159696, 4, 22753, 6235, 7916, 13497, 7746, 2205, 4838, 6, 56052, 204932, 182759, 16667, 7265, 4151, 21776, 21106, 6093, 163139, 24152, 28726, 4944, 4484, 54260, 2882, 2200, 6, 84577, 3131, 80453, 91595, 33960, 104238, 3069, 165592, 13845, 107581, 101251, 105235, 16747, 1211, 4, 199145, 21923, 1751, 75230, 1211, 56170, 3131, 119718, 88917, 1211, 4, 95455, 3056, 4838, 6, 56052, 2808, 75230, 97634, 2865, 40096, 40697, 6, 129071, 710, 119718, 131044, 2200, 22753, 27702, 30473, 56169, 43449, 75230, 4852, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 101296, 12984, 6, 59929, 29771, 10918, 215726, 2702, 4, 1285, 27702, 119718, 16803, 30473, 29171, 4113, 32887, 46545, 54260, 2882, 68313, 28415, 116486, 23847, 13159, 710, 119718, 4, 22753, 364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23173, 87311, 7511, 33716, 7265, 1285, 4838, 144532, 125897, 101251, 105235, 16747, 1211, 4, 7201, 23173, 87311, 98833, 3069, 22426, 59929, 17310, 2702, 6319, 48775, 23741, 2200, 27702, 30473, 56169, 1285, 45521, 2808, 7682, 54260, 2882, 3069, 6, 95494, 33225, 2702, 41595, 48350, 13159, 5, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 17853, 69355, 6, 64260, 10676, 41764, 21087, 4944, 29771, 203749, 65689, 6, 208048, 1644, 15533, 3056, 7243, 1751, 159696, 2442, 3069, 29434, 710, 183216, 4, 165592, 6, 163177, 48904, 29060, 215594, 10676, 1470, 54260, 112690, 38249, 163139, 40920, 133671, 130170, 16629, 2648, 9424, 119718, 65689, 27702, 119718, 71616, 4852, 54260, 1211, 92500, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 2205, 4151, 3523, 54260, 2882, 2200, 2205, 10069, 101251, 105235, 16747, 1211, 5, 35189, 6235, 7511, 21106, 6093, 41764, 21087, 4944, 29771, 203749, 215594, 95298, 7243, 1470, 54260, 1211, 1285, 6, 90848, 28726, 4, 199145, 10069, 4838, 50778, 18415, 39293, 46440, 2882, 2205, 10676, 116486, 26394, 2702, 3120, 4151, 115556, 192956, 2442, 6, 84577, 119718, 7682, 1644, 17310, 5, 2205, 6, 47351, 88771, 6, 105235, 21295, 177274, 3523, 54260, 4113, 15857, 194734, 39293, 4, 21106, 2702, 36324, 13845, 107581, 4, 7265, 7746, 160238, 6, 47351, 4838, 50778, 18415, 39293, 4, 3069, 1285, 10339, 54260, 6093, 2648, 125897, 3373, 41595, 48350, 13159, 4, 1751, 75230, 1211, 120202, 61397, 29060, 3120, 1285, 10184, 28726, 6, 84577, 15907, 48350, 13159, 4, 159696, 1644, 107581, 6, 104378, 4838, 75386, 9424, 119718, 65689, 165284, 33225, 2205, 10676, 657, 48904, 15388, 6319, 75322, 6293, 4, 199145, 177274, 2808, 88945, 4113, 65146, 190800, 2932, 54260, 12483, 4, 78278, 22753, 119055, 77188, 40026, 6093, 6235, 95494, 33225, 2200, 35189, 113889, 4667, 4838, 59461, 4484, 35596, 5, 2808, 75230, 4667, 4151, 144754, 199145, 177274, 15857, 194734, 39293, 56170, 21106, 8903, 2865, 54260, 59461, 2882, 6235, 119718, 710, 36419, 4151, 3131, 54260, 5666, 109226, 4, 4151, 144754, 6, 21106, 54260, 1211, 4, 16175, 54260, 21295, 22753, 220224, 1751, 75230, 1211, 120202, 4, 2200, 6, 105235, 21295, 220224, 196991, 21106, 4113, 221895, 4151, 3131, 54260, 5666, 109226, 4, 7265, 221895, 119055, 6093, 16932, 4, 1285, 15857, 194734, 39293, 6, 105235, 21295, 144754, 7746, 160238, 6, 47351, 4838, 50778, 18415, 39293, 4, 1470, 75230, 4667, 21776, 71804, 15231, 119718, 3069, 1285, 40653, 125897, 3373, 41595, 48350, 13159, 5, 17645, 20315, 27702, 159696, 2932, 17310, 27702, 29659, 54260, 2882, 3120, 56170, 12890, 16747, 17310, 4, 292, 15857, 194734, 39293, 292, 2200, 2808, 75230, 21066, 48350, 17310, 292, 4838, 50778, 18415, 39293, 5, 6, 68558, 6319, 54260, 1211, 56170, 12890, 16747, 17310, 3056, 7243, 29771, 6319, 54260, 1211, 1470, 75230, 21066, 48350, 17310, 4, 2200, 6, 68558, 6319, 54260, 1211, 1470, 75230, 21066, 48350, 17310, 3056, 7243, 29771, 6319, 54260, 1211, 56170, 12890, 16747, 17310, 2819, 2200, 119055, 12483, 13159, 45521, 21295, 2205, 178766, 4113, 6, 208048, 7972, 56880, 4, 1470, 54260, 59461, 3120, 1285, 9424, 238144, 6, 109316, 96302, 1211, 4, 51678, 62808, 7243, 4151, 4484, 171428, 1285, 27702, 159696, 2932, 17310, 4, 199145, 107776, 160238, 2205, 1285, 10184, 4852, 40697, 92500, 4269, 54260, 175483, 4113, 21776 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4113, 6235, 36326, 161829, 1211, 5, 2808, 75230, 4667, 4151, 144754, 199145, 41764, 63188, 6, 163177, 48904, 29060, 22518, 54260, 47332, 3069, 1285, 6, 59929, 29771, 10918, 215726, 2702, 4, 133190, 13342, 4151, 1470, 75230, 97634, 2865, 40096, 152185, 32887, 46545, 54260, 2882, 4, 6428, 5, 506, 5, 43449, 75230, 4852, 3069, 10676, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 7201, 23173, 29659, 54260, 2882, 7369, 14856, 4944, 48904, 13456, 10676, 116486, 26394, 2702, 4, 6, 238144, 1644, 4151, 88771, 3056, 4, 36324, 6, 59929, 29771, 10918, 215726, 2702, 119055, 53414, 2205, 194706, 6, 23173, 75230, 2702, 8903, 225164, 133190, 241662, 4, 119055, 12483, 20033, 43649, 75230, 46053, 7746, 26394, 5666, 75230, 6293, 7265, 36324, 13845, 107581, 4151, 3131, 54260, 5666, 109226, 4, 199145, 57973, 4838, 7213, 14540, 3373, 54260, 3069, 178766, 16870, 6093, 127684, 109226, 2200, 3373, 54260, 3069, 178766, 4113, 1751, 186145, 1982, 109226, 4, 15, 10069, 1751, 186145, 1982, 109226, 6, 21106, 54260, 1211, 119718, 53414, 1470, 75230, 4667, 56170, 63864, 170355, 40920, 37729, 178766, 4113, 4151, 127684, 109226, 2200, 1285, 190800, 8903, 28726, 1982, 18415, 4151, 7201, 23173, 109226, 4, 133190, 220224, 6, 128540, 7265, 7746, 1751, 75230, 1211, 160238, 4838, 6, 238144, 16932, 2648, 125897, 4, 28415, 6, 129071, 710, 159696, 192183, 2702, 37016, 159696, 69106, 16, 1470, 75230, 101608, 10676, 27702, 29659, 54260, 2882, 4151, 163139, 4944, 46545, 82576, 3496, 23173, 129071, 6093, 167048, 18167, 3120, 6, 59929, 29771, 10918, 215726, 2702, 2205, 10676, 1470, 75230, 2702, 44693, 35465, 178766, 63593, 710, 21338, 12483, 3120, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 4, 220224, 21923, 36324, 75230, 4838, 68550, 4151, 27702, 29659, 183512, 2882, 54260, 1644, 3120, 178766, 6428, 135118, 12483, 2819, 2200, 7243, 133190, 199145, 3373, 26, 68313, 101251, 24621, 2932, 44779, 6, 68558, 220224, 13342, 6, 95494, 33225, 1285, 3373, 41595, 48350, 13159, 4, 119055, 13845, 107581, 6, 163177, 23173, 29060, 364, 186955, 56170, 4151, 1470, 54260, 57619, 123329, 1982, 26612, 119718, 71616, 30473, 29171, 6093, 32887, 46545, 54260, 2882, 4, 133190, 220224, 6, 21106, 54260, 1211, 6, 128540, 7265, 7746, 160238, 4838, 15857, 194734, 39293, 4, 119055, 13845, 107581, 6, 163177, 48904, 29060, 56170, 39293, 2882, 3069, 235210, 12483, 7265, 1285, 6, 84577, 15907, 48350, 13159, 4, 37729, 159696, 1644, 107581, 1285, 6, 59929, 29771, 10918, 215726, 2702, 6, 95494, 33225, 7746, 2205, 194706, 2819, 6, 238144, 1644, 3373, 54260, 119055, 12483, 1285, 6, 59929, 171433, 5, 874, 5, 15857, 94741, 2389, 10918, 215726, 107776, 37729, 4151, 64769, 28726, 4944, 4484, 54260, 2882, 3120, 4151, 163139, 24152, 213952, 6093, 4151, 3131, 54260, 3111, 23405, 13342, 178766, 4113, 4151, 7201, 23173, 109226, 4, 6, 95494, 23741, 22753, 2205, 194706, 37729, 10676, 4838, 6, 119859, 69106, 163825, 4, 119718, 120467, 56170, 75290, 149364, 2882, 7265, 7746, 4838, 15857, 194734, 39293, 2200, 16175, 54260, 21295, 7746, 1470, 75230, 2702, 4, 2200, 119055, 77188, 2808, 54260, 57619, 54260, 46545, 6, 84577, 39340, 2932, 5666, 190135, 1470, 75230, 4667, 4838, 75386, 6, 47351, 4838, 50778, 18415, 39293, 3069, 1285, 40653, 7682, 73381, 29766, 105235, 1644, 109226, 2200, 226467, 4, 2200, 3373, 54260, 119055, 12483 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1285, 6, 59929, 29771, 10918, 215726, 2702, 119055, 53414, 2205, 10705, 54561, 6, 23173, 75230, 2702, 8903, 225164, 37729, 10676, 192183, 2882, 48775, 16803, 9424, 119718, 65689, 4151, 163139, 24152, 17310, 4, 2200, 8300, 119718, 65689, 178766, 4113, 4151, 127684, 109226, 4, 98478, 220224, 2205, 194706, 230764, 4838, 117902, 30473, 15231, 159696, 7201, 29766, 105235, 1644, 17310, 4, 6428, 5, 506, 5, 4838, 15857, 194734, 39293, 4, 2200, 6, 225164, 4, 2205, 4151, 207013, 2442, 9424, 54260, 2882, 4, 6, 23173, 75230, 2702, 44693, 35189, 4, 199145, 21923, 115222, 2932, 23405, 48350, 21660, 2882, 3069, 4151, 4151, 3131, 54260, 3111, 23405, 4, 119055, 13845, 107581, 163139, 2442, 20911, 4, 2648, 5, 506, 5, 220224, 6, 95494, 33225, 6, 47351, 4838, 50778, 18415, 39293, 5, 48904, 29659, 64260, 1470, 54260, 57619, 905, 39293, 12483, 1285, 22639, 6093, 192956, 1285, 21106, 87442, 7682, 4, 199145, 5332, 65442, 34533, 54196, 4, 110856, 12666, 2205, 1285, 14856, 4944, 48904, 40697, 27702, 159696, 2932, 109226, 4, 119055, 13845, 107581, 6, 163177, 48904, 29060, 22444, 23741, 6, 68558, 4, 2205, 20315, 2050, 10339, 21106, 6, 168155, 6, 195054, 109226, 4, 1470, 75230, 97634, 2865, 40096, 40697, 4, 132025, 29659, 64260, 3069, 56170, 29659, 54260, 1211, 1285, 21106, 87442, 13456, 10676, 14856, 4944, 48904, 78653, 3120, 10676, 115556, 28726, 12984, 4269, 54260, 16803, 4, 56170, 29659, 54260, 2882, 7369, 14856, 4944, 48904, 13456, 20315, 2050, 1285, 21106, 87442, 65689, 116486, 26394, 2702, 3120, 4151, 115556, 192956, 2442, 6, 84577, 119718, 7682, 1644, 17310, 5, 10069, 45521, 44478, 4, 199145, 10184, 6093, 6, 163177, 23173, 29060, 67882, 40920, 4, 21923, 4151, 1982, 54260, 7243, 133190, 6319, 54260, 1211, 3131, 22426, 48775, 4944, 192956, 4, 220224, 56170, 84316, 22426, 1644, 12483, 1470, 75230, 4667, 220224, 23269, 1470, 88945, 29771, 203749, 40697, 160238, 105235, 1644, 109226, 5, 165592, 75230, 55242, 12483, 20033, 4, 163139, 4151, 27702, 68566, 6293, 32054, 54260, 506, 54260, 2882, 4, 119055, 13845, 104238, 27702, 29659, 54260, 2882, 4, 657, 75230, 2882, 163177, 48904, 29060, 2702, 874, 54260, 3111, 23405, 4, 43449, 75230, 4852, 2205, 4151, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 6, 95494, 33225, 3373, 41595, 48350, 13159, 4, 159696, 33716, 564, 54260, 70845, 1470, 75230, 2702, 195054, 54260, 10069, 20911, 3120, 10676, 21776, 71804, 15231, 119718, 1211, 6, 109995, 4, 119055, 13845, 12984, 6, 64260, 4151, 1982, 26612, 68566, 6293, 6, 105235, 21295, 160238, 7265, 7746, 4, 2200, 7369, 56170, 98055, 2882, 1470, 75230, 4667, 10676, 10339, 129071, 4, 36324, 2648, 120467, 199145, 364, 23173, 87311, 7511, 33716, 7265, 1285, 19302, 59929, 1211, 117578, 13159, 1211, 4, 7265, 4151, 4151, 10918, 17310, 92500, 7265, 1285, 4151, 127684, 109226, 3120, 1470, 54260, 1211, 115374, 4, 2200, 119055, 77188, 3120, 70845, 4151, 7201, 23173, 63593, 22426, 17268, 16747, 1211, 4838, 75386, 32054, 54260, 506, 54260, 2882, 4, 15, 21087, 194734, 39293, 247, 3056, 130170, 13982, 7682, 17310, 15, 84577, 710, 18415, 39293, 16, 7201, 23173, 10676, 9424, 238144, 28320, 2200, 56170, 75290, 2882, 5, 95766, 4838, 160238, 25207, 20315, 3069, 4838, 6, 229340, 3120, 4838, 143628, 81829, 192183, 16932, 25207, 119718, 39083, 905, 10918, 171433, 53414, 2702, 29771 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10918, 21106, 22426, 21087, 4944, 29771, 203749, 4, 130170, 29659, 710, 56169, 6, 163177, 48904, 29060, 1285, 874, 54260, 3111, 23405, 4, 36324, 1285, 116486, 1644, 29060, 23173, 40697, 6, 103023, 57277, 29631, 657, 54260, 63532, 120202, 1285, 45521, 2808, 7682, 54260, 2882, 3069, 6, 95494, 33225, 3373, 41595, 48350, 13159, 4, 37729, 20315, 2050, 4, 1054, 120467, 22753, 130170, 13982, 93449, 1285, 6, 149364, 4852, 43178, 192956, 32054, 54260, 506, 54260, 2882, 5, 6093, 56170, 29659, 54260, 2882, 7243, 4, 36324, 1285, 116486, 1644, 29060, 23173, 40697, 6, 103023, 57277, 29631, 4, 4838, 75386, 6, 47351, 84577, 710, 18415, 39293, 3069, 4151, 6319, 71577, 15907, 21106, 34533, 152185, 148707, 22426, 12666, 40096, 215726, 4, 6, 84577, 119718, 7682, 21295, 3120, 185758, 220224, 2882, 3373, 41595, 48350, 13159, 4, 7243, 133190, 230764, 10676, 6235, 94114, 3120, 56170, 16629, 2648, 65482, 52059, 29631, 109316, 2200, 3373, 29771, 10918, 21106, 4113, 4151, 23847, 54260, 4944, 109226, 4, 133190, 1470, 75230, 4667, 37729, 10676, 6, 95494, 33225, 6, 48904, 54260, 46598, 27702, 68566, 6293, 6, 159696, 15388, 3373, 29771, 10918, 21106, 6093, 32054, 54260, 506, 54260, 2882, 4, 2200, 4838, 3523, 54260, 46598, 78104, 22426, 115556, 4, 159696, 1644, 104238, 364, 23173, 87311, 7511, 33716, 7265, 4151, 116486, 1644, 29060, 23173, 152185, 123736, 38054, 3111, 23405, 2200, 10184, 21295, 7746, 7201, 39083, 2932, 44779, 32054, 54260, 2205, 220224, 1211, 6, 149364, 4852, 43178, 28726, 12984, 2200, 6235, 39293, 1644, 95494, 23741, 28726, 12984, 4, 4269, 54260, 175483, 1211, 2200, 7916, 4852, 65689, 6, 95494, 33225, 5, 7201, 21106, 3131, 3056, 1470, 75230, 4667, 9934, 95494, 23269, 125830, 160238, 105235, 1644, 17310, 6, 159696, 15388, 4838, 131086, 29659, 1211, 34076, 54260, 1982, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 20031, 8903, 119718, 710, 40920, 2205, 1285, 27702, 10918, 109226, 3120, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 2200, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 95766, 4151, 41764, 21087, 4944, 39083, 29771, 46677, 3120, 4838, 133190, 101296, 67873, 115374, 4, 6, 172060, 185226, 163139, 3373, 26, 68313, 1470, 75230, 4667, 219947, 6, 120749, 7682, 1285, 6, 208048, 203749, 17645, 199145, 7369, 9721, 141847, 2882, 4151, 13342, 4838, 75386, 170315, 34575, 215726, 4, 165592, 2205, 4838, 54745, 87311, 25616, 40096, 65689, 1751, 57277, 40096, 6235, 7916, 49008, 7746, 1285, 192183, 101608, 119718, 40096, 710, 159696, 2200, 22426, 90848, 23847, 13159, 710, 159696, 186046, 2882, 54260, 12483, 2205, 4838, 3069, 29659, 183512, 3120, 6, 37016, 119718, 69336, 13458, 49792, 2200, 115222, 2932, 54561, 54260, 46545, 6093, 6, 97634, 44478, 48904, 7611, 5, 95766, 10676, 9585, 68959, 40714, 165592, 20315, 87311, 25616, 40096, 65689, 1751, 57277, 40096, 4, 57973, 10339, 129071, 13456, 1285, 21776, 92605, 10918, 239162, 25207, 186046, 2882, 54260, 12483, 1285, 1470, 54260, 75578, 506, 84577, 4, 2200, 220224, 6093, 4838, 50778, 18415, 39293, 1285, 21776, 119718, 39083, 905, 10918, 239162, 25207, 90709, 850, 6, 84577, 119718, 7682, 1644, 12483, 7746, 2200, 6, 159696, 67873, 65146, 1211, 6, 104378, 2200, 6, 26394, 29659, 53414, 20315, 2050, 131086, 29659, 1211, 34076, 54260, 4944, 8903, 119718, 710, 40920, 4, 1470, 75230, 1982, 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 ]
[ 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 6, 215629, 219947, 3069, 4151, 54745, 2932, 114436, 215726, 3120, 4151, 115556, 506, 54260, 2882, 4, 15, 2648, 5, 506, 5, 73784, 1470, 75230, 135469, 54260, 2932, 69355, 10339, 26612, 3131, 78653, 16, 133190, 3069, 11265, 6, 84577, 119718, 7682, 1644, 17310, 5, 119718, 710, 20033, 6, 159696, 67873, 1751, 109636, 16932, 55242, 12483, 6, 84577, 119718, 7682, 21295, 7746, 1470, 75230, 4667, 4151, 115556, 192956, 48974, 54260, 16803, 4, 37729, 4151, 9424, 79238, 16932, 17310, 3120, 1470, 54260, 1211, 160238, 4113, 4, 2200, 4151, 1470, 75230, 135469, 13845, 17310, 3120, 26612, 9424, 238144, 16932, 5, 2808, 75230, 6293, 4838, 6, 119859, 69106, 6, 183512, 53414, 185527, 4, 163139, 41764, 63188, 9934, 95494, 59461, 4, 6, 238144, 4852, 2882, 6, 68558, 1285, 41764, 21087, 4944, 29771, 208048, 7972, 39293, 2200, 1285, 22639, 10069, 119718, 56570, 21106, 22426, 21087, 4944, 39083, 29771, 46677, 230764, 4151, 115222, 2932, 54561, 54260, 46545, 6093, 119718, 710, 24152, 17310, 9424, 119718, 65689, 1285, 27702, 119718, 905, 80885, 6, 109316, 96302, 1211, 22639, 26, 2050, 115556, 28726, 12984, 4269, 54260, 16803, 2200, 10069, 7243, 27702, 119718, 905, 80885, 90709, 850, 2205, 70845, 5, 103854, 220224, 123073, 32887, 29766, 29060, 40697, 45521, 16803, 105235, 1644, 109226, 57973, 1285, 9424, 238144, 41764, 21087, 4944, 29771, 203749, 1211, 32054, 75230, 2648, 2200, 68542, 44478, 131086, 29659, 6235, 2648, 23173, 23741, 6, 95494, 33225, 4838, 4269, 54260, 175483, 4113, 21776, 119718, 39083, 905, 42180, 1470, 75230, 33225, 6235, 94114, 3120, 4151, 115556, 192956, 2442, 41764, 21087, 4944, 39083, 29771, 46677, 2200, 27702, 30473, 15388, 10676, 186955, 1211, 4, 120202, 8903, 28726, 47332, 1211, 4, 48706, 40096, 65689, 58573, 142429, 4, 7265, 119055, 13845, 12984, 1285, 163139, 2702, 5666, 95494, 23741, 44478, 21066, 4113, 15388, 7746, 40026, 6093, 27702, 3111, 64213, 5, 2702, 54260, 2205, 4151, 41764, 21087, 4944, 29771, 208048, 7972, 39293, 4, 2200, 3373, 54260, 2205, 4151, 22639, 10069, 119718, 56570, 21106, 22426, 21087, 4944, 39083, 29771, 46677, 43449, 54260, 18406, 95298, 81444, 4667, 4, 1470, 75230, 4667, 1285, 3523, 54260, 35189, 23847, 54260, 4944, 18415, 224252, 48904, 64213, 3120, 10676, 96302, 3131, 16667, 22639, 6093, 28726, 12984, 98478, 15, 35189, 27702, 119718, 71616, 4852, 54260, 1211, 2200, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 16, 2932, 21660, 54260, 4944, 13497, 230764, 4838, 7243, 6, 238144, 29171, 6093, 48706, 40096, 65689, 185527, 4, 6, 238144, 1644, 220224, 119055, 53414, 132025, 139449, 163139, 3056, 39083, 9221, 18415, 4151, 3131, 54260, 5666, 109226, 7265, 1470, 75230, 97634, 113889, 24621, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 2200, 8300, 159696, 38249, 5, 4944, 10069, 3069, 56170, 29659, 54260, 1211, 1285, 1285, 76776, 134067, 3120, 98478, 4, 2205, 9721, 54260, 16932, 1211, 6, 109995, 3120, 119718, 99766, 4, 45521, 21295, 2205, 6, 64260, 1285, 41764, 21087, 4944, 29771, 203749, 40697, 58573, 142429, 1211, 95455, 132025, 159696, 16747, 1211, 1285, 7916, 6093, 18415, 1285, 24621, 16667, 17645, 4, 7265, 221895, 119055, 6093, 16932, 4, 6, 64260, 1285, 160238, 86733, 57973, 7243, 139449, 6235, 3111, 2932, 2205, 27702, 236376, 4, 1285, 9424, 54260, 2882, 4, 5, 119055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13845, 107581, 3056, 657, 75230, 2882, 4151, 21776, 71804, 15231, 119718, 131044, 2702, 32887, 29766, 17645, 4, 6, 47351, 123736, 48974, 48904, 152185, 27702, 29659, 183512, 2882, 54260, 1644, 3120, 148932, 4151, 3131, 54260, 3111, 23405, 2200, 3120, 6, 17645, 35465, 6, 159696, 56880, 15, 95766, 10676, 6, 109995, 199145, 148932, 6, 170355, 4667, 4, 230764, 163139, 46590, 30473, 364, 186955, 6, 109995, 2205, 1470, 54260, 1211, 27702, 159696, 15388, 2200, 6, 192539, 1211, 4, 6, 105235, 21295, 22753, 7265, 7746, 160238, 4, 95766, 6, 17645, 35465, 6, 87311, 96302, 6, 47351, 6, 183512, 53414, 3069, 235210, 43178, 105235, 1644, 194, 9747, 3069, 33960, 18406, 4838, 6, 119859, 69106, 5666, 5, 874, 5, 15857, 2648, 29771, 304, 92500, 6, 120749, 7682, 163825, 3120, 178766, 6093, 2200, 3120, 4151, 4838, 144532, 123329, 161048, 30473, 80885, 69106, 4, 192575, 1470, 75230, 4667, 1285, 9424, 54260, 2882, 6235, 87311, 119364, 119055, 53414, 22639, 2808, 54260, 119132, 7265, 76961, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 2205, 10069, 81444, 4852, 125897, 4151, 3131, 54260, 5666, 109226, 5, 159696, 1211, 20033, 1054, 141943, 1211, 6, 68558, 1285, 10184, 6093, 18415, 1285, 24621, 16667, 17645, 564, 54260, 10676, 160238, 81829, 1285, 115556, 192956, 41764, 21087, 4944, 39083, 29771, 46677, 2205, 11265, 16175, 32097, 4, 4151, 39293, 12483, 20033, 1285, 10069, 21106, 87442, 40697, 6, 84577, 119718, 7682, 1644, 17310, 3120, 10676, 115556, 28726, 12984, 4269, 54260, 16803, 15, 172060, 185226, 163139, 3120, 21106, 4113, 4151, 3131, 54260, 5666, 109226, 22639, 26, 2050, 6, 88660, 114349, 120467, 16, 37729, 9424, 79238, 16932, 17310, 2200, 1470, 75230, 135469, 13845, 17310, 4, 144754, 221895, 119055, 6093, 16932, 4, 1285, 27702, 159696, 2932, 17310, 56170, 119718, 183512, 21295, 1285, 6, 109316, 96302, 1211, 3120, 10705, 54561, 6093, 4269, 54260, 16803, 4, 163139, 1470, 75230, 4667, 76961, 221895, 4151, 3131, 54260, 5666, 109226, 4, 2205, 10676, 119718, 120467, 220224, 21923, 4, 2200, 2205, 10676, 115222, 2932, 5666, 170355, 7611, 69355, 10676, 199145, 220224, 21923, 4, 36324, 75230, 36324, 1470, 75230, 4667, 178766, 2808, 152203, 26612, 119718, 71616, 4852, 54260, 1211, 119055, 77188, 56170, 119718, 183512, 21295, 2205, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 4, 2200, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 4269, 54260, 2882, 40653, 2205, 6, 48904, 54260, 46598, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 5, 103854, 10676, 1285, 21106, 87442, 65689, 58573, 142429, 3120, 160238, 81829, 107776, 73784, 160238, 3131, 54260, 1211, 113889, 4667, 4838, 9424, 238144, 16932, 88771, 4, 2200, 95455, 3056, 4, 36324, 76961, 4151, 3131, 54260, 5666, 109226, 2200, 113319, 16583, 35189, 115556, 192956, 2442, 4269, 54260, 16803, 56170, 87311, 15388, 4, 119055, 12483, 220224, 119055, 53414, 27702, 236376, 2205, 35189, 9721, 54260, 2882, 4, 6, 47351, 1470, 54260, 5927, 54260, 2882, 15, 21106, 2702, 6, 47351, 4838, 50778, 204403, 2648, 3069, 10676, 22639, 6093, 28726, 12984, 163139, 35189, 3131, 80453, 31212, 2205, 1285, 4151, 3131, 54260, 5666, 109226, 4, 119055, 13845, 12984, 20033, 27702, 46685, 38249, 119055, 12483, 62808, 165284, 79761, 1211, 220224, 2205, 220224, 6093, 16175, 32097, 16, 2200, 4151, 130170, 16629, 2648, 9424, 119718, 65689, 56170, 16629, 2648, 65482, 35189, 3131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 5666, 109226, 3056, 123736, 23741, 43449, 75230, 4852, 4838, 9424, 54260, 2882, 192956, 2442, 4, 95455, 506, 54260, 16803, 4, 36324, 3373, 54260, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 2200, 3373, 54260, 4151, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 21923, 25207, 71804, 15231, 119718, 3069, 10676, 115556, 28726, 12984, 98478, 43449, 75230, 4852, 59616, 15435, 65482, 29060, 71577, 1211, 2205, 10676, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 5, 35189, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 3056, 4, 3120, 220224, 1211, 220224, 2882, 4, 4151, 1470, 54260, 2932, 76776, 33716, 123329, 6, 29060, 71577, 69355, 4151, 6, 88660, 114349, 152185, 27702, 159696, 2932, 17310, 4, 199145, 27702, 8300, 54260, 4944, 13497, 1285, 6, 150349, 21660, 42733, 40697, 160238, 2050, 69355, 98478, 2200, 17190, 30750, 159696, 56880, 5, 159696, 1644, 104238, 3120, 1285, 1285, 76776, 2865, 40697, 6, 29060, 71577, 1211, 22639, 26, 2050, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 3056, 35189, 27702, 29659, 188301, 6093, 6681, 8903, 23405, 6093, 4, 2200, 119055, 13845, 104238, 3056, 4151, 1470, 54260, 1982, 123329, 6, 113889, 4944, 7201, 39083, 61397, 152, 21422, 3056, 40026, 6093, 32887, 46545, 4, 4151, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 21422, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 2819, 119055, 13845, 104238, 3120, 220224, 3056, 1285, 160238, 29659, 905, 55823, 4, 2200, 119055, 13845, 104238, 3056, 1285, 6, 238144, 16932, 103023, 79238, 179857, 4113, 2205, 6, 64260, 10676, 6319, 75322, 6293, 705, 95766, 220224, 1211, 1285, 21106, 87442, 152185, 6, 84577, 119718, 7682, 1644, 17310, 4, 3056, 177274, 3120, 220224, 3373, 54260, 4838, 160238, 29659, 905, 55823, 2200, 3373, 54260, 4838, 6, 238144, 16932, 2648, 125897, 165284, 55823, 2819, 119055, 12483, 20033, 4838, 1982, 16803, 48775, 506, 52541, 95298, 69355, 10676, 4838, 122868, 63593, 54260, 119132, 116486, 26394, 2702, 2200, 17824, 65482, 64213, 7746, 120202, 230764, 10676, 6, 208048, 1644, 15533, 52541, 92500, 6, 26394, 97594, 35189, 1211, 1285, 224220, 22426, 7972, 138194, 18415, 4151, 3131, 54260, 3111, 23405, 3120, 10676, 6, 150349, 21660, 42733, 65689, 96302, 3131, 28726, 12984, 4269, 54260, 16803, 230764, 4838, 12023, 35044, 1470, 54260, 5666, 7201, 26612, 104238, 4113, 16175, 54260, 67873, 4, 15, 17645, 20315, 224220, 22426, 7972, 138194, 18415, 35189, 3131, 54260, 3111, 23405, 3056, 6, 150349, 21660, 42733, 13456, 4, 22753, 27702, 29659, 54260, 2882, 95298, 43649, 188301, 3120, 1285, 207013, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 17461, 22426, 134193, 4113, 6, 109316, 96302, 1211, 4, 119055, 13845, 107581, 21923, 4838, 122868, 63593, 54260, 1211, 16, 6428, 47351, 6, 104378, 20033, 3069, 4838, 7201, 29766, 2050, 4, 199145, 3056, 28415, 56170, 3131, 80453, 54260, 2882, 9424, 119718, 65689, 1285, 17190, 30750, 159696, 4852, 16667, 4, 95455, 21923, 10069, 101251, 1982, 26612, 119718, 905, 80885, 21776, 21066, 37016, 46053, 4, 1285, 1470, 54260, 5666, 7201, 26612, 104238, 4113, 4, 28415, 14856, 4944, 48904, 40697, 160238, 2050, 69355, 1470, 75230, 7201, 101470, 7508, 54260, 8300, 109226, 2200, 21776, 26612, 2932, 52541, 230764, 220224, 5, 6, 64260, 1285, 160238, 2050, 3056, 3069, 1982, 75322, 6093, 38249, 4838, 2050 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 874, 54260, 16667, 28320, 564, 54260, 163139, 1644, 20315, 4, 564, 54260, 10676, 192544, 4, 564, 54260, 17741, 850, 15, 2648, 120467, 874, 54260, 13497, 219947, 36324, 3373, 54260, 564, 54260, 1285, 17741, 850, 2200, 3373, 54260, 564, 54260, 10676, 192544, 2200, 163139, 1644, 35465, 115374, 61541, 2882, 1470, 23174, 48904, 64213, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 4, 7369, 3056, 564, 54260, 220224, 133190, 6, 80453, 52480, 111179, 159696, 2442, 2200, 25207, 71804, 15231, 119718, 3069, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 3120, 10676, 4151, 119718, 92605, 36419, 119132, 4, 52059, 29631, 13845, 1211, 96302, 81829, 28415, 14856, 4944, 48904, 13456, 4, 28415, 101251, 1982, 26612, 119718, 71616, 4, 84475, 216333, 6235, 225975, 2882, 4, 8947, 2648, 29771, 160059, 33716, 125523, 2205, 220224, 28415, 95455, 101251, 1982, 26612, 119718, 905, 80885, 16, 2200, 3120, 6, 64260, 4151, 160238, 2050, 506, 64260, 7746, 6, 84577, 119718, 7682, 21295, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 3120, 10676, 52059, 29631, 115556, 5, 10069, 14856, 4944, 48904, 40697, 21776, 21066, 37016, 46053, 3120, 10676, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4269, 54260, 12483, 40653, 103854, 46711, 76632, 2442, 17310, 2205, 224252, 710, 185226, 4, 4151, 224252, 710, 185226, 4, 3120, 220224, 1211, 220224, 2882, 4, 6, 105235, 21295, 144754, 7746, 160238, 6, 47351, 40653, 240863, 3120, 10184, 4852, 152185, 4, 29766, 2932, 48904, 152185, 5332, 14004, 47332, 4484, 54260, 2882, 4, 3069, 2932, 54260, 175483, 6093, 4151, 127684, 17310, 4, 7369, 3056, 6, 158548, 189623, 45631, 9424, 119718, 65689, 27702, 119718, 71616, 4852, 54260, 1211, 2200, 2808, 152203, 26612, 119718, 71616, 4852, 54260, 1211, 4, 5, 199145, 364, 75230, 47332, 7746, 6, 68558, 95766, 1470, 54260, 1211, 6235, 94114, 4, 2200, 6, 188301, 2882, 7746, 2205, 8300, 238144, 28320, 5, 7369, 3056, 1470, 75230, 4667, 1285, 200795, 165284, 55823, 2205, 4151, 6, 84577, 119718, 7682, 1644, 17310, 69355, 178766, 27702, 119718, 71616, 4852, 54260, 16667, 21422, 21733, 224252, 710, 185226, 4, 6235, 94741, 20260, 2200, 6235, 46590, 5, 2648, 120467, 56170, 7201, 39083, 88660, 188201, 6235, 46590, 6, 105235, 21295, 7265, 7746, 160238, 4838, 3523, 54260, 46598, 224252, 710, 185226, 4, 199145, 119055, 77188, 6, 29766, 119859, 207591, 56170, 1982, 88917, 1211, 7265, 178766, 32887, 46545, 54260, 2882, 2200, 7201, 23173, 119718, 183512, 21295, 7746, 6, 71804, 23405, 170355, 2050, 2205, 4838, 14856, 4944, 48904, 65689, 21776, 21066, 4113, 13805, 4, 95455, 6, 95494, 23741, 178766, 5666, 54260, 46598, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 5, 35189, 40653, 240863, 3120, 27702, 119718, 71616, 4852, 54260, 1211, 2205, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 2200, 3120, 10676, 2808, 152203, 26612, 119718, 71616, 4852, 54260, 1211, 163139, 35189, 2205, 4838, 3523, 54260, 46598, 27702, 119718, 71616, 4852, 54260, 1211, 4, 6, 172060, 185226, 163139, 76961, 220224, 123073, 2808, 71512, 238144, 29171, 80885, 6, 84577, 119718, 7682, 1644, 109226, 4, 6, 105235, 21295, 7265, 7746, 160238, 1285, 1470, 75230, 2702, 44693, 2648, 17310, 69355, 178766, 4113, 21776, 21066, 37016, 46053, 5, 22680, 29771, 7201, 13159, 29766, 112216, 119718, 1644, 29771, 119718, 37826, 7265, 220224, 23269, 148707, 149364, 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 ]
[ 96302, 1211, 2205, 4151, 7916, 30473, 39083, 29771, 46677, 4, 2200, 7265, 220224, 1211, 1470, 75230, 2702, 7201, 29766, 81829, 1285, 27702, 218710, 18415, 2200, 101251, 1982, 93704, 23174, 16932, 73381, 28726, 13805, 1211, 1751, 75230, 1211, 22639, 79761, 87442, 132025, 8903, 119718, 15533, 1211, 230764, 10676, 40653, 240863, 3120, 178766, 2808, 152203, 26612, 119718, 71616, 4852, 54260, 1211, 4, 6428, 5, 506, 5, 101251, 1982, 93704, 23174, 18415, 4, 2205, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 4, 6428, 5, 506, 5, 2205, 10069, 27702, 218710, 18415, 21776, 21066, 37016, 46053, 4, 7265, 221895, 119055, 6093, 16932, 4, 7369, 37826, 4151, 144754, 183512, 87442, 10676, 40653, 240863, 3120, 1285, 10184, 4852, 101328, 203749, 40697, 6235, 36326, 161829, 1211, 2205, 41764, 21087, 4944, 29771, 203749, 40697, 1751, 65848, 12984, 5, 62808, 51678, 6, 238144, 16932, 27702, 46685, 38249, 10676, 40653, 240863, 3120, 10676, 27702, 119718, 71616, 155, 4852, 54260, 1211, 4, 6428, 5, 506, 5, 3120, 1285, 27702, 218710, 18415, 21776, 21066, 37016, 46053, 4, 2205, 4838, 3523, 54260, 46598, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 5666, 5, 874, 15857, 94741, 617, 2648, 5, 506, 5, 2205, 6, 238144, 16932, 2648, 125897, 4, 17288, 104238, 4113, 4, 101251, 1982, 93704, 23174, 18415, 21776, 21066, 37016, 46053, 5, 81444, 107776, 7201, 29766, 1285, 6, 84577, 119718, 7682, 1644, 17310, 230764, 4838, 115222, 2932, 23405, 48350, 21660, 28320, 185527, 4, 6, 13720, 5, 22753, 6, 95494, 23741, 4838, 3523, 54260, 46598, 7916, 4852, 101328, 203749, 65689, 3069, 29659, 183512, 5, 1285, 1470, 75230, 2702, 44693, 2648, 17310, 3120, 1285, 21776, 21066, 37016, 46053, 4, 163139, 35189, 4, 3056, 219947, 5332, 22426, 13159, 4838, 83182, 3131, 4, 163139, 1285, 1470, 75230, 2702, 44693, 2648, 17310, 3120, 178766, 4113, 174538, 12483, 3120, 6319, 75322, 6293, 7201, 23173, 161048, 30473, 80885, 69106, 5, 165592, 75230, 55242, 12483, 20033, 4, 163139, 2205, 10676, 40653, 240863, 3120, 6235, 94741, 20260, 2205, 6235, 46590, 35189, 23847, 54260, 12984, 220224, 6093, 56170, 7201, 39083, 88660, 2865, 17310, 1285, 3069, 22426, 59929, 17310, 2702, 6319, 48775, 23741, 2200, 1470, 75230, 2702, 2648, 75230, 6093, 4, 132, 2808, 75230, 2702, 2648, 75230, 6093, 3056, 4838, 6, 150349, 21660, 42733, 40697, 160238, 2050, 3120, 3069, 22426, 59929, 17310, 2702, 6319, 48775, 23741, 16, 119055, 13845, 4944, 48350, 171428, 1285, 2190, 112595, 23173, 2865, 54260, 2648, 192956, 4, 123736, 48974, 48904, 40697, 27702, 29659, 183512, 2882, 54260, 67873, 3120, 10676, 6319, 75322, 6293, 7201, 23173, 161048, 30473, 80885, 69106, 4, 95455, 364, 54260, 16803, 4, 36324, 119055, 12483, 4151, 115556, 37826, 37729, 220224, 23269, 35189, 7201, 23173, 109226, 4, 7265, 10676, 6235, 94741, 20260, 27702, 68566, 33225, 4, 36324, 6235, 119718, 710, 36419, 35189, 3131, 54260, 5666, 109226, 21923, 1751, 16870, 44779, 4, 84475, 4269, 171127, 7682, 56170, 220224, 1211, 161048, 30473, 80885, 69106, 4, 2200, 6093, 65146, 220224, 564, 165592, 54260, 46545, 1211, 4, 84475, 7746, 220224, 4838, 22492, 54260, 2932, 49008, 4, 4269, 54260, 2882, 4, 7265, 4151, 9424, 54260, 2882, 4, 64260, 4151, 6235, 94741, 20260, 40653, 2205, 4838, 6235, 46590, 3120, 364, 59929, 4, 84475, 3944, 30750, 2819 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 241662, 23269, 63532, 4151, 115556, 6, 68558, 4, 3069, 6, 64260, 1285, 4151, 3131, 54260, 5666, 109226, 4, 4838, 27702, 29659, 710, 188201, 22639, 6093, 192956, 43649, 13845, 17310, 4, 119055, 13845, 107581, 3056, 3069, 8903, 22426, 59929, 2882, 3069, 10676, 3496, 23173, 129071, 6093, 3120, 1285, 7201, 54260, 13497, 192956, 4, 84475, 6235, 119718, 106559, 105235, 4151, 3131, 54260, 5666, 109226, 5, 6, 64260, 1285, 56170, 7201, 39083, 88660, 188201, 13342, 22426, 59929, 17310, 46440, 2882, 6, 168155, 4838, 163139, 40920, 125897, 6, 90848, 28726, 2205, 10676, 1470, 75230, 2702, 2648, 75230, 6093, 2200, 2205, 20315, 2050, 27702, 506, 6093, 81829, 220224, 1211, 117902, 30473, 42180, 2819, 7265, 221895, 119055, 6093, 16932, 4, 4151, 40653, 240863, 69355, 6235, 94741, 20260, 2205, 6235, 46590, 4, 3056, 4838, 163139, 40920, 123329, 16175, 54260, 1644, 3120, 10676, 6319, 75322, 6293, 56170, 4113, 65442, 710, 80885, 69106, 5, 159696, 1211, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 37826, 1751, 75230, 1211, 72577, 56170, 2648, 54260, 29060, 2200, 1470, 75230, 2702, 8903, 3111, 56169, 10069, 6235, 8903, 1982, 65482, 4151, 7201, 23173, 109226, 4, 119055, 12483, 220224, 57973, 1751, 75230, 1211, 160751, 48775, 40920, 76961, 2702, 4, 199145, 68313, 2205, 220224, 6093, 67882, 40920, 70845, 3069, 6681, 506, 13845, 33225, 2205, 220224, 1211, 3069, 22426, 59929, 1211, 4852, 18167, 2200, 27702, 506, 6093, 81829, 1285, 101251, 105235, 16747, 1211, 4, 2205, 119055, 13845, 107581, 7369, 8903, 7916, 13497, 7746, 4, 6, 94741, 87311, 21295, 119055, 92605, 16803, 220224, 1211, 6319, 48775, 23741, 230764, 10676, 75773, 3120, 1285, 94626, 6093, 4151, 119718, 29766, 1982, 65482, 4151, 7201, 23173, 109226, 4, 2200, 22639, 2808, 54260, 119132, 7265, 4151, 6319, 48775, 23741, 119718, 92605, 46053, 1470, 75230, 4667, 10676, 115556, 16667, 10339, 29771, 35189, 109226, 4, 2200, 7369, 3523, 75230, 46545, 2882, 7746, 1751, 75230, 1211, 95766, 3523, 54260, 4113, 4151, 7201, 23173, 109226, 4, 9747, 220224, 23269, 10339, 29771, 35189, 109226, 3069, 27702, 211630, 133671, 5, 103854, 4151, 2190, 28714, 75230, 29111, 6093, 192956, 2442, 4, 22639, 6093, 192956, 2442, 2200, 4838, 144532, 123329, 27702, 159696, 2932, 17310, 43649, 75230, 16803, 7746, 4151, 115556, 9424, 43178, 75230, 6293, 7265, 3523, 54260, 4113, 101251, 105235, 16747, 1211, 4, 119055, 13845, 107581, 199511, 70845, 1285, 221895, 4151, 7201, 23173, 109226, 4, 2200, 6, 64260, 1285, 116486, 26394, 46053, 3120, 3523, 54260, 46598, 35189, 7201, 23173, 1211, 4, 119055, 13845, 107581, 21923, 2205, 10676, 6, 87311, 96302, 6, 129071, 25603, 44478, 2200, 28415, 17190, 1982, 16667, 119718, 710, 4944, 46545, 56170, 10676, 115374, 4, 6, 128540, 7265, 7746, 160238, 1285, 1751, 57277, 24152, 123073, 4, 4269, 54260, 175483, 4113, 6319, 48775, 23741, 2205, 220224, 1211, 22639, 6093, 28726, 12984, 98478, 4, 2200, 657, 75230, 2882, 10676, 4838, 122868, 63593, 54260, 119132, 7916, 4852, 65689, 6235, 39293, 7611, 4, 235466, 4, 1470, 75230, 4667, 81444, 4, 1285, 1751, 57277, 24152, 123073, 6319, 48775, 23741, 1285, 1470, 75230, 75578, 506, 84577, 132, 95766, 6235, 8903, 30750, 119132, 10339, 21106, 2205, 27702, 119718, 71616, 4852, 54260, 1211, 16, 2200, 56170, 13982, 141847, 2882, 1285, 895, 16932, 4113, 2200, 10069, 1285, 21106, 87442, 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 ]
[ 3120, 6235, 46590, 2200, 6235, 94741, 20260, 9199, 3131, 119718, 26612, 104238, 4113, 2205, 130170, 4, 84475, 4, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 5, 661, 16, 1285, 6, 21106, 18415, 4151, 7201, 23173, 109226, 56170, 17160, 54260, 18406, 125523, 95298, 4838, 75386, 4838, 14856, 4944, 48904, 40697, 4, 101251, 1982, 26612, 119718, 905, 80885, 6235, 119718, 75230, 5927, 54260, 2882, 3120, 1285, 6, 29766, 119859, 49008, 2200, 3120, 10676, 4269, 48904, 64213, 6, 59461, 119718, 1211, 235728, 5, 2200, 103854, 6, 64260, 10676, 17288, 104238, 1211, 4, 101251, 1982, 26612, 119718, 71616, 1211, 14856, 4944, 48904, 78653, 119055, 53414, 4151, 1644, 16870, 93449, 6235, 119718, 710, 36419, 116486, 26394, 46053, 2200, 21776, 92605, 42180, 2702, 4, 241662, 119055, 12483, 4151, 115556, 620, 29771, 23741, 2200, 159696, 1211, 220224, 1211, 27702, 119718, 71616, 4852, 54260, 1211, 3056, 16175, 54260, 1644, 238144, 4852, 123736, 1982, 159696, 4852, 16747, 4, 84475, 120202, 8903, 3131, 119718, 26612, 40920, 5, 35189, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 3056, 1470, 75230, 4667, 32887, 46545, 4838, 75386, 4838, 7265, 87637, 108968, 2205, 76961, 10705, 54561, 123073, 10184, 4852, 40697, 2200, 4269, 54260, 175483, 4113, 6, 218872, 13159, 4, 119055, 13845, 107581, 119055, 53414, 4, 101251, 1982, 75322, 6093, 146873, 17800, 54260, 2882, 56170, 194706, 4, 56170, 3131, 151227, 77188, 4, 123736, 48974, 48904, 15533, 54196, 2200, 32887, 95850, 3131, 56170, 7201, 39083, 88660, 63532, 37729, 4151, 14856, 4944, 48904, 152185, 6235, 119718, 75230, 5927, 54260, 2882, 4, 37729, 1285, 101251, 1982, 26612, 119718, 905, 80885, 21776, 21066, 37016, 46053, 4, 199145, 6, 128540, 7265, 7746, 160238, 1285, 6, 21106, 18415, 4151, 7201, 23173, 109226, 5, 7265, 183512, 123073, 119055, 6093, 16932, 4, 1285, 76961, 2865, 39083, 3523, 54260, 4113, 4, 14856, 4944, 48904, 40697, 21776, 21066, 37016, 46053, 4, 15, 21106, 63593, 39083, 17268, 16667, 5666, 54260, 120202, 8903, 3111, 8300, 18415, 4151, 7201, 23173, 109226, 16, 21923, 1285, 157175, 4, 3120, 4151, 1470, 75230, 2702, 44693, 2648, 17310, 69355, 4231, 65482, 3523, 54260, 4113, 4151, 7201, 23173, 109226, 4, 119055, 13845, 107581, 56170, 13982, 4113, 183216, 220224, 2205, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 92500, 220224, 1285, 49008, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 4838, 75386, 4838, 67826, 26394, 123959, 6, 84577, 119718, 7682, 1644, 12483, 1285, 174538, 12483, 69355, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 4, 36324, 75230, 6, 71804, 23405, 78278, 7369, 119055, 77188, 6, 21106, 54260, 1211, 1470, 75230, 4667, 56170, 13982, 141847, 2882, 2205, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 5, 241662, 65146, 1211, 1285, 6, 21106, 18415, 14856, 4944, 48904, 40697, 21776, 21066, 37016, 46053, 193178, 170791, 56170, 1285, 3523, 54260, 123073, 14856, 4944, 48904, 40697, 21776, 21066, 37016, 46053, 4, 2200, 6, 21106, 54260, 1211, 40096, 90848, 7916, 33716, 119055, 53414, 5, 172060, 185226, 163139, 1285, 160238, 105235, 1644, 17310, 2702, 6319, 48775, 23741, 4, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 4, 119718, 120467, 3056, 1285, 4151, 8903, 57619, 17310, 3120, 10676, 115556, 16667, 6, 29766, 119859, 49008, 2200, 1285, 56170, 7201, 39083, 88660, 2865, 17310, 3120, 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 ]
[ 6, 80453, 52480, 111179, 159696, 101251, 1982, 26612, 119718, 905, 80885, 21776, 21066, 37016, 46053, 4, 21776, 26612, 2932, 54196, 230764, 8903, 119718, 710, 36419, 4151, 3131, 54260, 5666, 109226, 4, 15, 2808, 75230, 1982, 220224, 4151, 87311, 49008, 70845, 133190, 2205, 40653, 8903, 28726, 1982, 18415, 92500, 1751, 75230, 1211, 1470, 54260, 5666, 2865, 39083, 4151, 64044, 65482, 37922, 22426, 7916, 16747, 109226, 16, 125523, 1470, 54260, 35189, 4151, 115556, 68313, 6, 130991, 7265, 220224, 2205, 564, 23173, 9221, 17310, 4, 36324, 75230, 21776, 26612, 2932, 54196, 1470, 75230, 4667, 1285, 6235, 119718, 75230, 5927, 54260, 2882, 3120, 178766, 4113, 6, 29766, 119859, 49008, 4, 15, 2648, 5, 506, 5, 1285, 84577, 119718, 7682, 1644, 18415, 14856, 4944, 48904, 40697, 21776, 21066, 37016, 46053, 16, 2205, 4151, 120202, 159696, 4852, 5927, 54260, 2882, 3120, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 230764, 4151, 3131, 54260, 5666, 109226, 4, 77518, 95455, 1470, 54260, 13497, 54260, 67873, 10676, 224220, 22426, 28726, 13805, 3120, 178766, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 2205, 26612, 6, 56052, 27702, 119718, 71616, 4852, 54260, 1211, 155, 2200, 4838, 6, 120749, 133671, 152203, 26612, 119718, 71616, 4852, 54260, 52, 163139, 32054, 75230, 2648, 67882, 40920, 95455, 236512, 220224, 23269, 119718, 21292, 5666, 95494, 7201, 130929, 30750, 9424, 159696, 38249, 4, 3056, 4151, 7201, 23173, 1751, 75230, 1211, 220273, 219947, 40653, 7682, 4, 125523, 28415, 4, 64260, 1285, 1470, 54260, 13497, 54260, 1644, 17310, 119055, 39083, 2882, 3120, 11265, 220224, 2882, 564, 93704, 23173, 23741, 101251, 141943, 44779, 6, 238144, 16932, 8903, 2882, 54260, 21295, 119055, 53414, 4, 95298, 236512, 564, 92605, 159696, 17017, 4113, 4944, 4484, 54260, 2882, 4, 84475, 4, 216333, 6235, 225975, 2882, 4, 236512, 119718, 21292, 5666, 95494, 23741, 192956, 2442, 192183, 159696, 5666, 42180, 4, 6, 68558, 119055, 13845, 104238, 177274, 163139, 2702, 5666, 95494, 23741, 192956, 206994, 3056, 14004, 2865, 119859, 57619, 1211, 101251, 24621, 2932, 44779, 4, 6, 159696, 67873, 20033, 7746, 6, 234221, 564, 54260, 4151, 1470, 75230, 1982, 83182, 87311, 194734, 45629, 54260, 13497, 54260, 1644, 17310, 5, 1126, 3523, 5, 874, 5, 15857, 94741, 159696, 1644, 107581, 4151, 115556, 37826, 1751, 75230, 1211, 37729, 220224, 1211, 564, 23173, 119718, 71616, 4852, 54260, 1211, 4838, 21087, 123559, 33716, 6, 5, 35189, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 3056, 95455, 130170, 212394, 2205, 10676, 17190, 1982, 16667, 6319, 75322, 6293, 4, 6093, 3056, 4838, 6, 56052, 10339, 59929, 710, 119718, 4, 4838, 21776, 168155, 119718, 33353, 4, 199145, 56170, 86070, 2882, 1285, 43449, 75230, 56880, 119055, 12483, 35189, 6, 129071, 710, 119718, 119055, 77188, 56170, 21733, 114436, 2882, 4, 84475, 119055, 12483, 7369, 27855, 22426, 2882, 7746, 1470, 75230, 2702, 3120, 10069, 90709, 850, 4, 6, 172060, 185226, 163139, 1285, 1470, 54260, 2932, 65482, 9934, 71577, 59929, 1211, 3120, 10498, 21106, 7611, 2200, 46654, 54260, 3131, 1285, 49008, 20315, 2050, 6, 87311, 15388, 4838, 75386, 3523, 23173, 17310, 2205, 4151, 9424, 54260, 2882, 119055, 12483, 4151, 115556, 6235, 7916, 13497, 7746, 2205, 26612, 3069, 29659, 183512, 3120, 6428, 75230, 150839, 26612, 23741, 133671, 364, 17310, 53414, 5, 2808 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 1982, 3373, 26, 4484, 177148, 95298, 7243, 3069, 6319, 54260, 1211, 40026, 86733, 3069, 21066, 24244, 3120, 4269, 54260, 175483, 6093, 3131, 22426, 54260, 4852, 4, 6428, 47351, 42542, 4151, 1470, 75230, 1982, 83182, 87311, 13497, 6093, 116486, 26394, 2702, 7243, 6, 71804, 23405, 4151, 234221, 20315, 2050, 115556, 16667, 161048, 30473, 80885, 69106, 4, 2200, 4151, 115556, 6681, 89930, 2882, 6, 71804, 23405, 170355, 2050, 7746, 21106, 54260, 1211, 5, 4484, 71577, 710, 21338, 423, 10069, 41764, 21087, 51172, 17410, 46677, 3120, 82563, 20635, 10069, 364, 75230, 22426, 2882, 48706, 85935, 67873, 2200, 132025, 25207, 2932, 109226, 22639, 26, 2050, 115556, 28726, 12984, 98478, 21923, 4, 2702, 54260, 657, 75230, 2882, 4151, 874, 54260, 3111, 23405, 3120, 4151, 41764, 21087, 4944, 29771, 208048, 7972, 39293, 2200, 3373, 54260, 657, 75230, 2882, 4151, 22639, 10069, 119718, 56570, 21106, 41764, 21087, 4944, 39083, 29771, 46677, 4, 17824, 142429, 4231, 65482, 5332, 87311, 42180, 2702, 2200, 1751, 186145, 1982, 109226, 4, 40653, 159696, 1644, 107581, 4151, 115556, 3056, 7243, 27702, 119718, 71616, 2200, 199145, 6, 104378, 73784, 160238, 3131, 54260, 1211, 95766, 1285, 82563, 20635, 4, 119055, 12483, 4151, 115556, 620, 29771, 23741, 5, 64260, 1285, 56170, 1982, 29766, 2932, 65482, 101251, 1982, 26612, 119718, 905, 80885, 1751, 186145, 1982, 109226, 27702, 29659, 54260, 12483, 657, 75230, 2882, 20315, 2050, 116486, 7201, 13159, 29766, 6, 93704, 44478, 22639, 26, 2050, 163139, 67873, 3069, 564, 92605, 63593, 33225, 10676, 22639, 59919, 710, 29766, 111179, 88660, 2865, 22426, 28726, 13805, 32956, 9719, 83182, 159696, 2442, 46545, 54260, 125830, 6235, 46590, 155, 16, 2200, 3069, 6, 104378, 3069, 182731, 17310, 5, 1644, 75230, 2882, 10676, 116486, 7201, 13159, 29766, 32054, 75230, 2648, 27702, 29659, 54260, 12483, 220224, 2205, 1285, 56170, 13982, 141847, 18415, 7369, 64260, 40697, 4113, 87311, 42180, 2702, 4, 119055, 13845, 107581, 4151, 115556, 1751, 186145, 47332, 3069, 27702, 211630, 133671, 5, 1982, 54260, 20315, 41764, 21087, 4944, 29771, 203749, 1211, 6, 234221, 36324, 6, 64260, 1285, 1751, 186145, 1982, 109226, 4, 199145, 163825, 1211, 10676, 96302, 3131, 28726, 12984, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 57973, 7243, 6319, 54260, 1211, 124724, 87442, 1211, 192183, 2882, 129071, 7265, 10069, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 4, 220224, 6, 192539, 1211, 7746, 7243, 2205, 56170, 12890, 16747, 17310, 7265, 20315, 2050, 4838, 68550, 4, 133190, 220224, 119055, 141943, 1211, 7746, 43649, 188301, 2205, 4151, 6, 120749, 17310, 3120, 1285, 56170, 1982, 29766, 2932, 65482, 56170, 71804, 183216, 4, 119055, 13845, 107581, 21923, 2205, 4151, 192544, 506, 54260, 2882, 7243, 4151, 86070, 2882, 8903, 119718, 29766, 1211, 5, 165592, 75230, 4838, 68550, 22518, 54260, 18406, 220224, 3069, 1285, 163139, 4944, 46545, 80885, 6, 90848, 28726, 22639, 26, 2050, 115556, 28726, 12984, 28726, 18406, 3069, 10676, 28415, 112216, 21087, 119718, 1211, 16175, 54260, 1644, 3120, 220224, 1211, 4269, 54260, 16803, 5, 3120, 220224, 123073, 32887, 29766, 17645, 92904, 23174, 2882, 6, 23173, 75230, 2702, 36324, 3496, 23173, 129071, 6093, 34533, 13456, 22639, 26, 2050, 115556, 28726, 12984, 98478, 21923, 108264, 2808, 4231, 65482, 6235, 506, 54260, 24621, 90709, 850, 4, 199145 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 87311, 15388, 7243, 1285, 45521, 2808, 7682, 54260, 2882, 7746, 3069, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 14819, 13342, 22426, 59929, 1211, 3069, 1285, 4838, 144532, 125897, 101251, 105235, 16747, 1211, 2200, 119055, 13845, 107581, 65146, 1211, 10339, 39083, 2932, 44779, 1470, 75230, 4667, 219947, 220224, 1211, 6, 84577, 3131, 54260, 2648, 213952, 22639, 26, 2050, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 5, 26612, 133880, 10676, 199145, 6, 64260, 1285, 163139, 2702, 5666, 95494, 23741, 44478, 27702, 46685, 38249, 7243, 1285, 1285, 21106, 87442, 40697, 6, 84577, 119718, 7682, 1644, 17310, 3120, 10676, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 73784, 27702, 119718, 71616, 4852, 54260, 1211, 4, 2200, 69355, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 3069, 4838, 3523, 54260, 46598, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 95455, 364, 54260, 16803, 4, 36324, 2808, 75230, 101608, 10676, 199145, 220224, 6681, 98055, 1211, 1285, 27702, 159696, 2932, 17310, 3120, 10676, 6, 129071, 710, 119718, 3069, 10676, 22426, 59929, 710, 119718, 4, 2200, 3120, 10676, 112216, 21087, 119718, 3069, 10676, 6, 129071, 710, 119718, 4, 56170, 1982, 54260, 28320, 220224, 1470, 75230, 4667, 6, 204932, 53464, 7265, 4151, 10339, 39083, 8903, 4, 7265, 221895, 119055, 6093, 16932, 4, 220224, 6, 101470, 6, 68558, 10676, 22426, 59929, 710, 119718, 1211, 16175, 54260, 1644, 56170, 4151, 364, 75230, 22426, 2882, 27702, 159696, 2932, 4484, 48775, 23741, 2205, 10676, 115556, 16667, 161048, 30473, 80885, 69106, 4, 2200, 10676, 28415, 6, 129071, 710, 119718, 1211, 16175, 54260, 1644, 657, 54260, 103023, 1211, 220224, 1470, 75230, 2702, 3120, 10676, 6, 120749, 133671, 14004, 5927, 186955, 2200, 564, 93704, 54260, 2882, 17310, 3120, 220224, 23269, 6, 218872, 13159, 5, 1285, 120202, 8903, 28726, 1982, 18415, 192183, 101608, 119718, 40096, 710, 159696, 5332, 87311, 42180, 2702, 21422, 12483, 220224, 160238, 40653, 4231, 65482, 3523, 54260, 4113, 4, 2205, 119055, 13845, 107581, 8947, 8903, 7916, 13497, 7746, 4151, 115556, 2205, 220224, 1211, 6, 84577, 119718, 7682, 1644, 17310, 2200, 119055, 53414, 5, 10069, 5332, 87311, 42180, 2702, 4, 1054, 120467, 21923, 2205, 163139, 35189, 3131, 80453, 31212, 7265, 1285, 123736, 12890, 87442, 710, 159696, 10705, 14857, 18415, 16747, 1211, 2200, 119055, 13845, 107581, 65146, 1211, 193178, 170791, 56170, 1285, 3523, 54260, 4113, 15, 7201, 23173, 220224, 6093, 84577, 710, 18415, 39293, 247, 6, 238144, 1644, 2205, 115222, 2932, 5666, 7201, 21106, 119055, 29060, 4151, 115556, 54745, 2932, 114436, 52541, 4, 6, 64260, 10069, 1751, 186145, 1982, 109226, 199145, 119055, 53414, 564, 54260, 4838, 203013, 6093, 6, 84577, 119718, 7682, 1644, 17310, 56170, 13982, 141847, 2882, 95766, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 6, 234221, 1285, 41764, 21087, 4944, 29771, 203749, 1211, 56170, 4151, 3496, 23173, 129071, 6093, 34533, 40697, 16932, 1470, 54260, 2932, 5666, 95494, 23741, 3120, 10676, 115374, 5, 220224, 6, 101470, 10676, 115374, 6, 68558, 163139, 26612, 48706, 40096, 40697, 4151, 3131, 54260, 3111, 23405, 2200, 55242, 12483, 7243, 1470, 54260, 1211, 4, 36324, 95455, 98478, 3056, 133190, 14004, 4151, 1285, 76776, 2865, 152185, 6, 84577, 75230, 21733, 17310, 4, 133190, 9213, 10676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 75322, 6293, 2200, 27702, 25603, 2932, 17310, 5, 95766, 10676, 10339, 21106, 57973, 6, 64260, 1285, 41764, 21087, 4944, 29771, 203749, 1211, 6, 168155, 84087, 6235, 2865, 54260, 5666, 235210, 13159, 7265, 35189, 874, 54260, 3111, 23405, 3120, 1285, 116486, 27720, 49008, 199145, 6, 234221, 36324, 10676, 6, 120749, 133671, 115374, 165354, 18225, 131086, 29659, 4151, 4484, 171428, 137, 5666, 29766, 241662, 119055, 12483, 7369, 3056, 1470, 75230, 2702, 8903, 97634, 1211, 69355, 220224, 23269, 192183, 159696, 112690, 239162, 28726, 4269, 54260, 175483, 4113, 3069, 20315, 38249, 2004, 119055, 12483, 8947, 45521, 21295, 70845, 1285, 88660, 120580, 39083, 9221, 213952, 4113, 224252, 48904, 7611, 119055, 13845, 107581, 56170, 105235, 21295, 4, 657, 75230, 2882, 220224, 6093, 874, 54260, 3111, 128083, 46598, 88771, 5, 35189, 27702, 119718, 71616, 4852, 54260, 1211, 4, 199145, 3056, 6, 57277, 39340, 4838, 6, 56052, 192183, 226112, 7972, 20961, 4, 119055, 13845, 104238, 21733, 75230, 47332, 120202, 3120, 178766, 4113, 1751, 186145, 1982, 109226, 1285, 28415, 3069, 8903, 22426, 59929, 18415, 2200, 163139, 40920, 123329, 4113, 56170, 10676, 115556, 16667, 6, 84577, 119718, 7682, 1644, 17310, 4, 56170, 4151, 56170, 7201, 39083, 88660, 2865, 17310, 3120, 4852, 54260, 23269, 4269, 54260, 175483, 4113, 174538, 12483, 3120, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 2200, 56170, 10676, 4838, 122868, 63593, 54260, 119132, 4151, 7201, 39083, 2932, 220224, 119132, 2205, 10676, 81444, 4852, 133671, 6319, 75322, 6293, 2819, 6, 64260, 4151, 9424, 216510, 69355, 178766, 4269, 54260, 175483, 1211, 2200, 10184, 4852, 65689, 98478, 119055, 77188, 37729, 220224, 4151, 21733, 77188, 4838, 75386, 47351, 1470, 75230, 101608, 192956, 4, 129165, 2865, 20315, 6319, 48775, 23741, 4, 2200, 220224, 6, 239162, 24152, 171428, 42493, 36324, 4151, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 3056, 2205, 6, 47351, 88771, 4151, 3496, 23173, 129071, 6093, 34533, 13456, 82576, 6, 109316, 96302, 69355, 178766, 220224, 1211, 4, 36324, 7369, 3056, 4151, 2190, 112595, 23173, 2865, 54260, 2648, 192956, 2442, 116486, 108264, 2882, 3120, 178766, 84577, 119718, 7682, 1644, 17310, 4, 36324, 2205, 10676, 116486, 26394, 2702, 3120, 178766, 119055, 53414, 56170, 119718, 183512, 21295, 7369, 7746, 1126, 1468, 9934, 5, 15857, 2648, 29771, 95766, 6, 47351, 123736, 48974, 48904, 65689, 16175, 54260, 1644, 3120, 194706, 2200, 6428, 99766, 119055, 905, 7369, 45521, 21295, 3056, 7243, 29771, 35189, 115556, 5, 10069, 82563, 20635, 119055, 13845, 107581, 21923, 4, 657, 75230, 2882, 4151, 874, 54260, 3111, 23405, 3120, 1285, 2648, 29771, 4852, 125897, 41764, 21087, 4944, 29771, 203749, 1211, 4, 4838, 116486, 26394, 2702, 564, 54260, 119055, 13845, 12984, 4151, 27702, 119718, 71616, 4852, 54260, 1211, 3056, 120202, 159696, 4852, 16747, 2200, 4151, 2808, 152203, 26612, 119718, 71616, 4852, 54260, 1211, 6235, 119718, 41595, 4151, 1982, 54260, 1285, 178748, 28726, 4944, 4484, 54260, 2882, 7746, 1470, 75230, 2702, 8300, 119718, 75230, 24152, 1211, 2200, 13342, 6, 199511, 73784, 160238, 3131, 54260, 1211, 4231, 65482, 22639, 6093, 192956, 56170, 71804, 183216, 4, 3069, 119055, 13845, 107581, 20033, 506, 29771, 18406, 2205, 4151, 192544, 506, 54260, 2882, 74806, 186145, 47332, 2200, 220224, 7243, 4151, 23847, 54260, 40920, 4, 6, 64260, 6, 148222, 88680, 28726, 1982, 109226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 82563, 2050, 4, 6, 234221, 220224, 56170, 10676, 163139, 4944, 46545, 119364, 16175, 54260, 1644, 2205, 28726, 18406, 4, 119055, 13845, 104238, 6, 159696, 98833, 40653, 178766, 4113, 5332, 87311, 42180, 2702, 230764, 4151, 119055, 29766, 5, 220224, 1982, 26612, 506, 75230, 23741, 1211, 4, 36324, 3496, 64260, 36326, 1285, 56170, 1982, 29766, 2932, 65482, 56170, 71804, 183216, 119055, 53414, 2205, 82563, 2050, 27909, 4944, 8903, 9719, 29659, 7265, 3523, 54260, 4113, 56170, 71804, 183216, 2200, 6, 59929, 29771, 10918, 2808, 54196, 7265, 6235, 119718, 710, 36419, 4151, 3131, 54260, 5666, 109226, 2200, 6235, 36326, 161829, 1211, 4, 7265, 119055, 13845, 107581, 20033, 57973, 7746, 9424, 43178, 75230, 111137, 29659, 75230, 46053, 95766, 119055, 26612, 12984, 3069, 29659, 183512, 4, 46440, 2882, 95298, 1285, 21776, 21106, 131044, 4, 657, 75230, 2882, 220224, 6093, 874, 54260, 3111, 23405, 4, 26612, 9424, 238144, 2882, 6, 48775, 23405, 125897, 6, 90848, 28726, 4, 2200, 107776, 3069, 4151, 163139, 24152, 17310, 4, 133190, 230764, 36324, 75230, 46590, 4, 230764, 163139, 46590, 22753, 37826, 4838, 1751, 54260, 14540, 3069, 1285, 56170, 13982, 141847, 18415, 56170, 71804, 183216, 5, 1982, 54260, 4838, 3523, 216510, 1211, 27702, 236376, 1211, 10676, 4269, 48904, 64213, 116486, 26394, 2702, 4151, 39293, 12483, 20033, 95298, 4, 165592, 1285, 56170, 13982, 141847, 18415, 1751, 186145, 1982, 109226, 16175, 54260, 67873, 7746, 2819, 84475, 2205, 36324, 13845, 107581, 199145, 506, 23173, 87311, 5666, 52541, 7243, 7265, 1285, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 2200, 7265, 1285, 3373, 109636, 42180, 28726, 1982, 93704, 23174, 109226, 4, 2205, 119055, 13845, 107581, 4151, 6235, 2932, 16011, 114436, 22639, 10069, 119718, 56570, 10705, 2050, 6235, 17268, 13497, 7746, 4, 4852, 54260, 51678, 4151, 7201, 23173, 7243, 6, 95494, 33225, 1285, 3523, 75230, 46545, 4113, 174538, 12483, 3120, 3069, 22426, 59929, 17310, 2200, 4484, 171428, 7243, 6, 84577, 119718, 21733, 12483, 1285, 3069, 22426, 59929, 17310, 131002, 26612, 23741, 4, 49027, 107581, 3056, 7369, 163139, 4944, 46545, 95766, 10676, 115556, 16667, 6319, 75322, 6293, 56170, 161048, 30473, 80885, 69106, 4, 95455, 364, 54260, 16803, 4, 56170, 220224, 1211, 4151, 159696, 2442, 18406, 657, 71616, 2200, 1470, 75230, 114349, 54260, 35465, 2190, 17017, 71616, 2819, 2200, 230764, 163139, 46590, 220224, 6, 84577, 3131, 80453, 4113, 12984, 219947, 2200, 119055, 53414, 7243, 132025, 8903, 159696, 16747, 29060, 2205, 6, 64260, 10676, 6319, 75322, 6293, 119055, 53414, 220224, 1751, 75230, 1211, 1982, 9719, 17410, 4838, 226112, 7916, 33716, 5, 84475, 1285, 1751, 186145, 1982, 109226, 57973, 1751, 75230, 1211, 4151, 86070, 2882, 220224, 6093, 2648, 171127, 56170, 10676, 115374, 2200, 57973, 70845, 1751, 75230, 1211, 160751, 48775, 40920, 76961, 178748, 28726, 4944, 4484, 54260, 28320, 199145, 2205, 220224, 3056, 56170, 47351, 230764, 3069, 6235, 119718, 710, 49008, 657, 71616, 2200, 3069, 56170, 2865, 54260, 35465, 10705, 17017, 71616, 4, 220224, 56170, 1644, 52541, 36324, 75230, 4838, 68550, 220224, 6093, 56170, 1982, 4, 4151, 115556, 6235, 105780, 48253, 75230, 1211, 2205, 220224, 6, 238144, 29171, 117578, 13159, 2200, 7369, 56170, 13982, 141847, 2882, 220224, 14856, 4944, 48904, 13456, 2205, 10705, 13497, 139365, 26612, 119718, 71616, 4852, 54260, 1211, 4, 84475 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 7265, 221895, 119055, 6093, 16932, 4, 17824, 119055, 77188, 2808, 152203, 26612, 119718, 71616, 40653, 220224, 5, 10069, 3523, 54260, 4113, 1751, 186145, 1982, 109226, 199145, 6, 104378, 1470, 75230, 33225, 6, 99766, 3120, 1285, 6, 21106, 18415, 4, 2200, 110856, 12666, 4231, 65482, 4, 199145, 6, 128540, 7265, 7746, 160238, 6235, 119718, 710, 36419, 224220, 109636, 16667, 215726, 2702, 4, 15, 1644, 75230, 2882, 22426, 90848, 7201, 13159, 29766, 4838, 55546, 93497, 32887, 155045, 113889, 203749, 17645, 16, 84475, 214804, 52480, 215726, 2702, 4, 15, 1644, 75230, 2882, 116486, 7201, 13159, 29766, 32054, 75230, 2648, 26, 2702, 32887, 155045, 113889, 203749, 17645, 16, 119055, 53414, 10676, 115374, 4838, 3373, 4667, 3523, 216510, 92500, 657, 88680, 163139, 1285, 40026, 6093, 2648, 125897, 5332, 87311, 42180, 2702, 4, 3120, 119055, 13845, 107581, 7369, 37826, 7243, 8903, 4484, 35596, 6235, 99611, 1211, 4, 84475, 7369, 37826, 1751, 75230, 1211, 95455, 3523, 75230, 46545, 4113, 6235, 113889, 46053, 5, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 5046, 10069, 214804, 52480, 215726, 2702, 2200, 224220, 109636, 16667, 215726, 2702, 21923, 4838, 116486, 108264, 2882, 3120, 178766, 27702, 119718, 71616, 4852, 54260, 1211, 4, 119055, 13845, 104238, 3056, 3120, 220224, 1211, 220224, 2882, 10069, 56170, 7201, 39083, 88660, 2865, 17310, 3120, 178766, 4113, 174538, 12483, 95766, 10676, 6, 78683, 15289, 56170, 161048, 30473, 80885, 69106, 4, 2200, 103854, 6, 64260, 1285, 174538, 12483, 42542, 4151, 115556, 6, 101470, 3120, 10676, 98478, 4838, 3373, 4667, 46685, 2200, 1470, 152848, 38249, 2205, 10676, 4838, 68550, 4838, 3373, 4667, 86510, 123073, 178748, 28726, 4944, 4484, 54260, 28320, 3120, 657, 71616, 92500, 2190, 17017, 71616, 4, 163139, 1285, 657, 71616, 2200, 2190, 17017, 71616, 4, 199145, 1285, 6, 80453, 52480, 111179, 159696, 5332, 87311, 42180, 2702, 92500, 1751, 186145, 1982, 109226, 57973, 2205, 7746, 56170, 87311, 98833, 2200, 119055, 13845, 107581, 7369, 119055, 39083, 2882, 4, 44064, 1982, 54260, 4151, 10213, 82576, 6235, 147713, 5927, 54260, 2882, 4, 6235, 88660, 13497, 40653, 28726, 18406, 5, 20033, 55242, 12483, 4, 36324, 75230, 23173, 14088, 4, 36324, 1285, 82563, 20635, 46440, 1211, 2205, 115556, 28726, 12984, 98478, 4838, 84087, 19302, 114436, 6093, 39083, 4113, 4, 163139, 1285, 41764, 21087, 4944, 29771, 203749, 40697, 163139, 2702, 5666, 95494, 23741, 22518, 54260, 47332, 220224, 3069, 5, 4484, 71577, 710, 21338, 611, 10069, 136111, 96256, 192494, 3120, 82563, 20635, 10069, 27702, 506, 75230, 23741, 109226, 3120, 1285, 41764, 21087, 4944, 29771, 203749, 1211, 4, 36324, 1285, 82563, 20635, 46440, 1211, 55242, 48775, 163139, 40920, 133671, 7508, 39083, 2205, 98478, 4, 51678, 192183, 226112, 1644, 54196, 119055, 53414, 119055, 12483, 20033, 27702, 4113, 236376, 1211, 10676, 10184, 4852, 65689, 3069, 29659, 183512, 4, 2205, 119055, 13845, 12984, 4151, 115556, 6235, 7916, 13497, 7746, 159696, 1211, 7369, 620, 29771, 23741, 2200, 119055, 12483, 220224, 1211, 18895, 116486, 2648, 34365, 54196, 4231, 65482, 226467, 2200, 4113, 87311, 42180, 2702, 1054, 120467, 20033, 98478, 40653, 2205, 82563, 2050, 4, 7265, 221895, 119055, 6093, 16932, 4, 9747, 13342, 56170, 29659, 54260, 12483, 1285, 41764, 21087, 4944, 29771, 203749, 40697, 564, 93704, 54260, 2882, 17310, 3120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1285, 82563, 20635, 6428, 23173, 33225, 20033, 7746, 7201, 23173, 76961, 51723, 119055, 141943, 1211, 3069, 220224, 6093, 6, 208048, 97634, 192494, 5, 1644, 75230, 2882, 1285, 141879, 163139, 2702, 5666, 95494, 23741, 192956, 6, 104274, 37016, 109226, 3056, 148707, 149364, 710, 96302, 21106, 55823, 16803, 190135, 6235, 119718, 29766, 1211, 4, 36324, 4151, 192183, 2882, 129071, 9424, 119718, 65689, 1285, 4838, 144532, 125897, 101251, 105235, 16747, 1211, 4, 2200, 178766, 18895, 4, 95455, 364, 54260, 16803, 4, 1285, 163139, 24152, 17310, 3120, 1285, 123736, 12890, 87442, 710, 159696, 10705, 14857, 18415, 16747, 1211, 230764, 178766, 6428, 135118, 12483, 4, 2200, 178766, 21776, 26612, 2932, 52541, 230764, 4151, 1470, 75230, 101608, 192956, 2442, 6, 159696, 21295, 4, 107776, 37729, 4838, 6, 56052, 235728, 3120, 895, 87442, 2442, 40697, 6, 97634, 38249, 5, 1285, 7201, 23173, 12890, 16747, 17310, 119055, 77188, 190800, 8903, 7916, 33716, 37729, 178766, 4113, 6, 59461, 119718, 1211, 4, 119055, 13845, 107581, 6, 128540, 144754, 7746, 160238, 2205, 6, 64260, 10676, 116486, 26394, 2702, 4838, 6, 56052, 3373, 99766, 895, 87442, 2442, 40697, 29434, 64260, 1211, 5, 159696, 1211, 4151, 18895, 3056, 895, 87442, 184855, 40653, 1644, 142429, 1211, 119055, 77188, 178766, 1470, 75230, 7201, 119132, 55823, 2808, 7682, 54260, 2882, 120202, 8903, 3131, 119718, 26612, 40920, 2200, 4151, 6, 238144, 16932, 2648, 123329, 192183, 2882, 129071, 7265, 10676, 23173, 14088, 119055, 77188, 98036, 2702, 6, 75322, 39083, 1751, 159696, 2442, 6093, 5, 178766, 4113, 37922, 22426, 7916, 16747, 109226, 6319, 119718, 21106, 42733, 31623, 52541, 64260, 10676, 3069, 29659, 183512, 4838, 75386, 7544, 79950, 54260, 2882, 4, 2200, 1285, 7544, 79950, 54260, 2882, 4269, 54260, 2882, 6, 71804, 23405, 170355, 2050, 40653, 95766, 4838, 620, 29771, 6293, 4, 564, 54260, 119055, 13845, 12984, 20033, 119055, 53414, 23050, 10705, 23822, 21106, 3069, 1285, 4838, 144532, 125897, 895, 87442, 2442, 40697, 1751, 226112, 51723, 5, 2808, 75230, 1982, 4151, 123736, 48974, 48904, 78653, 6, 105235, 21295, 3069, 10676, 18895, 1285, 3523, 75230, 46545, 4113, 67882, 16932, 710, 109316, 3559, 5666, 5, 874, 5, 15857, 94741, 3131, 97634, 33225, 4, 2200, 1285, 145813, 48904, 17310, 3120, 1285, 6, 59461, 119718, 1211, 119055, 77188, 4151, 1982, 54260, 37729, 4838, 6235, 119718, 710, 101608, 2808, 75230, 22680, 4113, 2932, 17310, 56170, 29659, 23173, 20911, 4, 3056, 178748, 44779, 1285, 7544, 79950, 54260, 2882, 3069, 40653, 119718, 24295, 35465, 4, 92500, 4151, 192183, 2882, 129071, 42542, 125523, 6, 238144, 16932, 160238, 2882, 8903, 39293, 56169, 119055, 53414, 4, 27702, 46464, 83182, 2702, 4, 2808, 75230, 1982, 3373, 26, 4484, 177148, 4151, 1982, 54260, 160238, 6, 47351, 132025, 29659, 2442, 141847, 17310, 3120, 178766, 163139, 67873, 4, 6, 238144, 1644, 35189, 163139, 67873, 3056, 3120, 220224, 1211, 220224, 2882, 4838, 6, 56052, 2808, 127684, 192956, 27702, 16932, 17645, 4, 119055, 63593, 172398, 895, 87442, 2442, 40697, 117902, 67873, 1285, 49008, 4838, 75386, 6, 47351, 6, 84577, 5, 18415, 39293, 13342, 1285, 1470, 75230, 101608, 192956, 895, 87442, 2442, 40697, 117902, 67873, 4, 2648, 5, 506, 5, 36324, 241662, 119055, 12483, 1285, 1470, 75230, 101608, 192956, 204403, 67873, 21923, 23050, 119859, 15231, 119718, 199887, 1644, 142429 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21923, 10069, 6, 192956, 117902, 30473, 15231, 119718, 4, 2190, 4852, 56170, 75290, 2882, 5, 10069, 7243, 101251, 105235, 16747, 1211, 92500, 220224, 6093, 5332, 119859, 78104, 159696, 6319, 17310, 15, 69355, 26612, 6235, 119718, 710, 101608, 6, 167673, 21776, 15388, 6, 68558, 178766, 119718, 159993, 2200, 178766, 6319, 48775, 23741, 3120, 21776, 30473, 80885, 69106, 2200, 4, 36324, 75230, 4838, 68550, 4, 1470, 75230, 4667, 178766, 204403, 30473, 15231, 159696, 6, 129071, 710, 119718, 15907, 5332, 16175, 4231, 65482, 101251, 105235, 16747, 1211, 199145, 27702, 211630, 133671, 4, 6, 94741, 39340, 15388, 4, 20315, 2050, 115374, 2200, 6, 199511, 70845, 4838, 204403, 30473, 15231, 159696, 163139, 24152, 17310, 15, 1644, 71616, 16, 6, 4, 220224, 94741, 39340, 15388, 1751, 119718, 26612, 12984, 120202, 10676, 163139, 67873, 2200, 42180, 1211, 70845, 6, 23173, 54260, 1211, 2205, 4838, 6, 56052, 112216, 21087, 119718, 1211, 4, 2648, 5, 506, 5, 23050, 119859, 15231, 119718, 1211, 3069, 29659, 183512, 5, 10705, 54561, 6093, 163139, 67873, 4, 119055, 13845, 104238, 3056, 4838, 116486, 108264, 2882, 3120, 1285, 123736, 12890, 87442, 710, 159696, 101251, 105235, 16747, 1211, 4, 3056, 36324, 75230, 4838, 68550, 6, 172060, 185226, 163139, 148932, 116486, 108264, 2882, 4, 163139, 148932, 10339, 39083, 8903, 4, 14004, 1285, 15857, 194734, 39293, 2200, 9213, 1470, 54260, 57619, 54260, 46545, 1470, 75230, 4667, 1285, 4838, 50778, 18415, 39293, 3120, 10069, 3373, 47912, 4, 199145, 57973, 70845, 6, 23173, 75230, 2702, 8903, 225164, 2200, 6235, 95494, 33225, 5, 29659, 188301, 65146, 95298, 5332, 65442, 34533, 52541, 4838, 564, 21106, 183718, 9424, 119718, 65689, 27702, 211630, 18640, 17310, 2200, 8300, 119718, 65689, 10676, 7243, 27702, 211630, 93449, 220224, 1211, 4, 9424, 119718, 65689, 657, 71616, 2200, 2190, 17017, 71616, 4, 6, 172060, 185226, 119718, 710, 9424, 119718, 65689, 117902, 30473, 15231, 159696, 2442, 2200, 23050, 119859, 15231, 159696, 2442, 132025, 1644, 142429, 17310, 3120, 895, 87442, 2442, 31623, 131044, 2819, 13342, 46590, 657, 71616, 4, 163139, 3069, 46590, 2190, 17017, 71616, 4, 6, 84577, 119718, 7682, 21295, 22639, 26, 2050, 115374, 120202, 8903, 18415, 2865, 22426, 158652, 54260, 2882, 2200, 34076, 54260, 4944, 154739, 46545, 54260, 2882, 5, 29771, 75578, 44064, 241662, 119055, 12483, 1285, 7544, 79950, 54260, 2882, 40653, 159696, 21295, 93449, 6, 101328, 10676, 96302, 81829, 4, 6428, 5, 506, 5, 119055, 12483, 7369, 10339, 186955, 6, 23173, 54260, 1211, 2205, 620, 29771, 6293, 2200, 4151, 18895, 235466, 7243, 2808, 75230, 6293, 6319, 54260, 1211, 3523, 54260, 4113, 1470, 75230, 101608, 192956, 6, 97634, 38249, 4, 84475, 7369, 235466, 220224, 230764, 6, 168155, 1751, 119718, 26612, 4667, 4, 119718, 710, 13458, 52541, 125523, 6, 21106, 7611, 2205, 70845, 220224, 23269, 895, 87442, 2442, 40697, 29434, 64260, 1211, 4, 6, 172060, 185226, 163139, 2205, 47351, 895, 87442, 184855, 41764, 25207, 35044, 119055, 77188, 125523, 56170, 1982, 26612, 234221, 4838, 45495, 24621, 3120, 119055, 23173, 710, 74813, 54260, 2882, 4, 15, 2648, 5, 506, 5, 1285, 22639, 4113, 238144, 29171, 80885, 16175, 54260, 28726, 4944, 44779, 3120, 1470, 54260, 56880, 27702, 159696, 15388, 7746, 125523, 2205, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20260, 35046, 24390, 16, 1470, 75230, 4667, 125523, 10676, 199145, 4151, 895, 87442, 2442, 152185, 192183, 2882, 129071, 3056, 40653, 8903, 121865, 1211, 6235, 119718, 29766, 1211, 2819, 84475, 163139, 6, 47351, 1470, 75230, 7201, 119132, 6, 84577, 65482, 4, 199145, 163139, 13458, 54196, 125523, 26612, 9424, 54260, 2882, 6, 71804, 23405, 125523, 10676, 199145, 3373, 26, 506, 64260, 1470, 75230, 111137, 506, 77188, 4151, 895, 87442, 2442, 152185, 88660, 13497, 129071, 7265, 4151, 6, 23173, 75230, 2702, 91163, 6, 84577, 65482, 5, 10069, 82563, 20635, 21923, 4, 36324, 75230, 4838, 68550, 4, 43449, 75230, 4852, 1751, 119718, 26612, 107581, 120202, 4484, 71804, 183216, 3120, 1285, 13845, 87442, 2442, 40697, 132025, 1644, 142429, 109226, 2200, 1470, 75230, 35044, 142429, 109226, 4, 199145, 6235, 36326, 12483, 2205, 194706, 2819, 4852, 54260, 21923, 7243, 28415, 4, 163139, 4838, 163139, 35189, 50931, 3120, 6, 17645, 119132, 192183, 2882, 129071, 7265, 4151, 2808, 75230, 101608, 192956, 2442, 6, 159696, 21295, 4, 119055, 13845, 104238, 6, 105235, 21295, 7265, 7746, 160238, 1285, 1470, 54260, 105405, 192956, 1285, 21106, 87442, 7682, 3120, 178766, 22639, 6093, 28726, 12984, 98478, 4, 2200, 10676, 1470, 75230, 101608, 28726, 12984, 506, 183512, 1644, 12483, 5, 10069, 3496, 26612, 64260, 710, 38596, 54260, 2882, 2200, 1285, 60118, 4113, 21106, 4113, 112216, 115398, 109226, 199145, 6, 104378, 56170, 95766, 82563, 2050, 119055, 12483, 20033, 620, 29771, 33225, 4, 6, 101470, 7746, 4151, 69355, 4, 199145, 4151, 115556, 42542, 68558, 4151, 11211, 108968, 37640, 5666, 26, 2050, 27702, 119718, 71616, 4852, 54260, 1211, 7243, 120202, 21733, 54260, 18406, 9424, 119718, 65689, 1285, 27702, 68566, 33225, 2808, 88680, 123736, 12890, 87442, 1211, 119055, 13845, 107581, 67826, 51723, 7265, 220224, 23269, 4151, 7201, 23173, 109226, 4, 2200, 9424, 119718, 65689, 710, 65482, 6, 80453, 52480, 111179, 159696, 160238, 105235, 1644, 109226, 199145, 7369, 37826, 174246, 125523, 1470, 54260, 35189, 6093, 37826, 1285, 2648, 29771, 4852, 125897, 4151, 7201, 23173, 109226, 6235, 119718, 710, 49008, 5, 15, 165592, 75230, 163139, 137, 8300, 54260, 2882, 155, 3056, 7243, 4484, 54260, 1211, 895, 1982, 16803, 29659, 188301, 4113, 4151, 3131, 54260, 3111, 23405, 4, 133190, 47351, 1470, 75230, 92904, 43082, 3120, 4151, 27702, 159696, 2932, 17310, 2200, 6, 192539, 17310, 3120, 1285, 23173, 50622, 39340, 4151, 3131, 54260, 5666, 109226, 4, 6, 47351, 1470, 75230, 92904, 43082, 230764, 159696, 1644, 12984, 20033, 119055, 53414, 27702, 119718, 71616, 37729, 178766, 192183, 2882, 129071, 7265, 6, 64260, 1285, 54260, 5666, 109226, 4, 6428, 5, 506, 5, 37729, 178766, 4113, 4151, 7201, 23173, 109226, 4, 56170, 1644, 54196, 4151, 7201, 23173, 4151, 115556, 1285, 137, 7916, 6093, 18415, 1285, 24621, 16667, 17645, 155, 15, 69355, 9424, 54260, 2882, 247, 119055, 12483, 35189, 2648, 29771, 4852, 123329, 192183, 2882, 129071, 119055, 77188, 40653, 8903, 121865, 1211, 2200, 7369, 37826, 7243, 28415, 10069, 178748, 28726, 4944, 4484, 54260, 2882, 3069, 130170, 3131, 54260, 35465, 9424, 119718, 65689, 1285, 56170, 16629, 2648, 65482, 4151, 7201, 23173, 109226, 194, 10069, 10184, 4852, 40697, 37922, 22426, 7916, 16747, 109226, 119055, 13845, 107581, 7369, 17190, 47332, 40653, 2205, 620, 29771, 6293, 199511, 4151, 7201, 23173, 14856, 4944, 48904, 13456 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23173, 75230, 2702, 1285, 163139, 35189, 3131, 80453, 72158, 161321, 28726, 226467, 2205, 159696, 1644, 107581, 3523, 54260, 4113, 160238, 105235, 1644, 109226, 21923, 1470, 75230, 2702, 8903, 9719, 29659, 7265, 4231, 65482, 137377, 8903, 29659, 48904, 65482, 4151, 127684, 109226, 1470, 119718, 1211, 120202, 8903, 28726, 1982, 18415, 5332, 87311, 42180, 2702, 4, 199145, 21923, 125523, 7201, 23173, 90536, 18406, 2205, 178766, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 5, 6, 64260, 1285, 226467, 6, 225164, 1470, 75230, 4667, 6, 23173, 75230, 2702, 10069, 14856, 4944, 48904, 40697, 21776, 92605, 42180, 2702, 3120, 178766, 4113, 4, 6, 29766, 119859, 49008, 4, 163139, 1470, 75230, 7201, 10918, 16932, 1211, 2205, 31249, 29771, 6293, 4, 7746, 119055, 23173, 33225, 4, 46050, 64213, 7265, 1285, 9424, 54260, 1211, 4, 22518, 54260, 12483, 4, 6319, 137377, 12483, 7265, 1285, 6, 131445, 4, 3131, 2865, 54260, 10813, 12483, 4, 6, 71804, 12984, 1470, 5, 2808, 5, 119718, 5, 95298, 3496, 64260, 36326, 4151, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 3056, 4, 21776, 71804, 15231, 119718, 13342, 2050, 27702, 119718, 71616, 4852, 54260, 1211, 4, 4838, 28415, 112216, 21087, 159696, 2442, 16175, 54260, 1644, 3120, 178766, 4269, 54260, 16803, 4, 6, 192539, 2882, 7369, 4852, 18167, 95298, 81444, 4667, 2190, 28714, 75230, 29111, 6093, 44779, 4, 2205, 56170, 12890, 16747, 17310, 7265, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 92500, 95455, 874, 54260, 13497, 4, 22639, 79761, 87442, 4, 2205, 56170, 12890, 16747, 17310, 7265, 10676, 4838, 68550, 2819, 2200, 8947, 104378, 2205, 70845, 3069, 76961, 2865, 39083, 3523, 54260, 4113, 6, 109316, 96302, 1211, 4, 15, 159696, 1644, 107581, 57973, 1751, 75230, 1211, 120202, 8903, 28726, 47332, 2205, 27702, 119718, 71616, 4852, 54260, 1211, 2200, 21923, 37729, 10676, 158628, 1211, 4838, 21087, 123559, 33716, 49150, 874, 5, 15857, 94741, 92500, 4151, 1644, 16870, 93449, 6235, 119718, 29766, 1211, 16, 152, 6, 238144, 1644, 1470, 75230, 4667, 4151, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 69355, 220224, 1211, 220224, 2882, 4, 27702, 29659, 54260, 2882, 3120, 3523, 54260, 123073, 2200, 895, 16932, 4113, 4151, 7201, 23173, 109226, 40653, 8903, 36326, 161829, 1211, 2200, 4151, 3131, 54260, 5666, 109226, 2200, 1470, 75230, 4667, 2205, 70845, 107776, 160238, 4151, 207013, 2442, 22426, 90848, 26394, 2702, 3120, 1470, 75230, 7201, 101470, 1285, 3523, 54260, 4113, 2200, 1751, 57277, 24152, 123073, 4151, 7201, 23173, 109226, 2200, 7201, 23173, 13982, 4113, 183216, 1285, 6, 21106, 18415, 2200, 1751, 119718, 26612, 104238, 4113, 15, 13159, 3056, 4151, 7201, 23173, 6, 57277, 39340, 7243, 2808, 88680, 7682, 95455, 1470, 54260, 13497, 54260, 67873, 10676, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 6, 21106, 54260, 1211, 1470, 75230, 4667, 4, 2205, 6, 47351, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 2200, 2205, 10676, 1470, 54260, 105405, 28726, 12984, 101251, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 163139, 32054, 75230, 2648, 6, 105515, 2648, 120467, 236512, 220224, 23269, 9424, 159696, 38249, 4, 125523, 28415, 4, 6, 64260, 1285, 1470, 54260, 13497, 54260, 1644, 17310, 4, 3120, 11265, 220224, 2882, 4, 192575, 7746, 125523, 101251, 141943, 44779, 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 ]
[ 16932, 16175, 54260, 67873, 4, 95298, 20033, 6, 159696, 67873, 43449, 54260, 18406, 564, 54260, 35189, 1470, 75230, 18406, 4151, 87311, 13497, 6093, 3373, 4944, 63593, 26632, 152185, 1470, 54260, 13497, 54260, 1644, 17310, 4, 236512, 4838, 6235, 119718, 21292, 139365, 92605, 159696, 17017, 4113, 4944, 4484, 54260, 2882, 4, 84475, 163139, 2702, 43178, 95494, 23741, 192956, 2442, 192183, 159696, 5666, 42180, 4, 163139, 18225, 22444, 23741, 2648, 120467, 4, 6, 68558, 119055, 13845, 104238, 3373, 26, 68313, 101251, 24621, 2932, 44779, 3069, 206994, 1211, 16, 20033, 55242, 12483, 4151, 7201, 23173, 4, 165592, 1285, 82563, 20635, 3120, 10676, 4151, 119718, 92605, 36419, 119132, 2200, 4151, 7201, 23173, 65482, 2050, 115374, 4852, 171428, 657, 75230, 2882, 220224, 6093, 160238, 2050, 2200, 87481, 186955, 6, 168155, 84087, 56170, 16629, 35465, 3120, 1285, 114955, 40697, 82563, 20635, 5, 10069, 7369, 64260, 7682, 2200, 1285, 1751, 186145, 1982, 17310, 3069, 57906, 28320, 4, 119055, 13845, 107581, 9213, 18406, 163139, 24152, 44779, 2808, 75230, 2702, 4, 2205, 4838, 27702, 29659, 52480, 16932, 874, 120467, 4, 6235, 119718, 710, 36419, 163139, 24152, 109226, 230764, 10676, 115374, 4, 2702, 54260, 2205, 82563, 2050, 2200, 3373, 54260, 230764, 4151, 119055, 29766, 4, 6, 192539, 1211, 1470, 75230, 4667, 2190, 28714, 75230, 29111, 6093, 44779, 4852, 54260, 6093, 160238, 4113, 4, 2200, 657, 75230, 2882, 1285, 6235, 39293, 64213, 3120, 4151, 4269, 48904, 89930, 10184, 4852, 152185, 6, 159696, 21295, 4, 128540, 1470, 75230, 4667, 220224, 7265, 7746, 160238, 6, 29060, 71577, 1211, 2205, 4151, 160238, 62808, 17310, 3120, 6, 114436, 46677, 103854, 67882, 16932, 17645, 4, 2200, 3120, 67882, 16932, 17645, 37729, 6, 114436, 46677, 5, 2702, 54260, 1285, 7369, 64260, 40697, 6319, 48775, 23741, 2200, 3373, 54260, 1285, 1751, 186145, 1982, 17310, 3069, 182731, 1211, 21923, 1982, 54260, 20315, 160238, 51723, 3120, 6, 114436, 46677, 4, 199145, 119055, 53414, 116486, 2648, 34365, 54196, 2200, 21776, 80453, 142429, 34365, 54196, 103854, 10676, 116486, 26394, 2702, 3120, 8947, 1211, 2200, 56170, 2648, 54260, 12483, 5, 21106, 2702, 56170, 46545, 4113, 116486, 108264, 28320, 27702, 119718, 9221, 38249, 220224, 1470, 54260, 23269, 1285, 221895, 2200, 6235, 29659, 186955, 1211, 7746, 657, 75230, 2882, 10676, 22639, 10069, 119718, 56570, 10705, 36258, 4151, 7201, 23173, 109226, 2200, 657, 75230, 2882, 220224, 1211, 2932, 54260, 175483, 6093, 6, 84577, 119718, 7682, 1644, 17310, 5, 1285, 141879, 119055, 53414, 4, 3120, 220224, 6093, 220224, 2882, 4, 6, 172060, 185226, 163139, 35189, 116486, 26394, 2702, 3120, 8947, 1211, 2200, 56170, 2648, 54260, 12483, 4, 27702, 29659, 710, 63532, 37729, 1285, 5332, 88660, 113889, 2865, 40697, 92500, 3373, 29771, 10918, 21106, 4113, 101251, 105235, 16747, 1211, 4, 6428, 5, 506, 5, 6, 21106, 7611, 657, 75230, 2882, 10676, 55242, 22849, 1211, 22426, 90848, 26394, 2702, 3120, 8947, 1211, 2200, 56170, 2648, 54260, 12483, 4, 3120, 59929, 710, 123559, 61621, 2200, 1470, 75230, 16803, 54260, 67873, 4, 162726, 24244, 4151, 2808, 75230, 114349, 119273, 17310, 3120, 9424, 54260, 2882, 5, 1285, 9424, 54260, 2882, 4, 37729, 119055, 13845, 104238, 10069, 160238, 51723, 3120, 6, 114436, 46677, 6, 192539, 1211, 7746, 2205, 220224, 6093, 3373, 29771, 10918, 21106, 1211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 75230, 2702, 119718, 9221, 38249, 4852, 18167, 657, 75230, 2882, 4151, 116486, 204403, 71945, 9424, 119718, 65689, 1285, 22639, 4113, 238144, 29171, 80885, 178748, 28726, 4944, 4484, 54260, 28320, 2205, 20315, 2050, 115374, 15, 159696, 1644, 107581, 21923, 4838, 116486, 108264, 2882, 3120, 4151, 46711, 183718, 7201, 29766, 62808, 16932, 101296, 16932, 17645, 247, 2200, 10676, 6428, 55049, 3120, 1285, 4838, 144532, 125897, 17824, 76632, 64213, 15, 119718, 120467, 119055, 53414, 56170, 75290, 149364, 2882, 2205, 1285, 4838, 144532, 125897, 123736, 12890, 87442, 1211, 2200, 6235, 36326, 161829, 1211, 16, 2819, 2200, 220224, 6, 95494, 33225, 2648, 120467, 4, 163139, 35189, 4, 1285, 67882, 16932, 710, 109316, 119055, 77188, 1211, 4, 119055, 13845, 107581, 56170, 119718, 183512, 1644, 12483, 7746, 3120, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 63620, 4852, 54260, 6093, 220224, 2882, 2205, 3523, 54260, 4113, 3373, 29771, 10918, 21106, 4113, 160238, 51723, 3120, 6, 114436, 46677, 4, 3120, 7369, 64260, 7682, 4, 3120, 8903, 21295, 17310, 2819, 6, 192539, 213952, 7746, 2205, 148932, 5332, 204403, 107581, 21776, 71804, 15231, 119718, 3069, 1285, 5332, 65442, 34533, 9221, 213952, 4113, 5332, 88660, 113889, 2865, 40697, 2200, 3373, 29771, 10918, 21106, 4113, 101251, 105235, 16747, 1211, 5, 2702, 54260, 1285, 7369, 64260, 40697, 6319, 48775, 23741, 4, 3373, 54260, 4151, 182731, 17310, 2702, 6319, 75322, 6293, 21923, 2205, 6, 47351, 137127, 4151, 564, 160022, 82576, 1470, 75230, 92904, 43082, 3120, 17190, 1982, 16667, 1285, 76776, 134067, 4, 95298, 37729, 10676, 119718, 120467, 116486, 7201, 13159, 29766, 32054, 75230, 2648, 2200, 116486, 7201, 13159, 29766, 6, 93704, 44478, 6, 80453, 119718, 2884, 3069, 193178, 6, 64260, 10069, 4151, 3131, 54260, 5666, 109226, 4, 119055, 13845, 107581, 21923, 43449, 75230, 4852, 4838, 7508, 23174, 109316, 2205, 4151, 6319, 54260, 2882, 3120, 28726, 1982, 16667, 6235, 36326, 161829, 1211, 4, 56170, 4151, 364, 75230, 22426, 2882, 157175, 3120, 4151, 161048, 30473, 80885, 69106, 4, 15, 22426, 90848, 7201, 13159, 29766, 6, 93704, 44478, 4151, 21733, 77188, 4, 36324, 95455, 6235, 46590, 3120, 7544, 83182, 159696, 2442, 46545, 54260, 2882, 3056, 26612, 1285, 25207, 146873, 1470, 54260, 2932, 5666, 95494, 23741, 3120, 10676, 137, 22426, 21087, 4944, 65689, 123736, 48974, 47351, 2004, 116486, 7201, 13159, 29766, 32054, 75230, 2648, 119718, 710, 35189, 364, 186955, 36324, 1285, 3373, 29771, 10918, 21106, 4113, 5332, 88660, 113889, 134067, 2200, 1285, 5332, 88660, 113889, 134067, 3120, 10676, 14004, 107829, 119718, 181247, 67873, 6, 75290, 149364, 4, 6428, 5, 506, 5, 1285, 10184, 4852, 40697, 4151, 59461, 17310, 2200, 76961, 40653, 125897, 4, 2702, 54260, 10184, 4852, 40697, 4, 3373, 54260, 4269, 54260, 175483, 4113, 6, 218872, 13159, 21923, 4838, 116486, 108264, 2882, 3120, 4151, 7369, 64260, 152185, 6319, 48775, 23741, 2200, 4151, 115556, 56170, 87311, 98833, 2205, 7746, 6, 21106, 54260, 1211, 44064, 10676, 2808, 171127, 710, 185226, 3120, 16175, 75230, 2882, 247, 37729, 36324, 13845, 107581, 27702, 506, 75230, 23741, 109226, 56170, 119718, 183512, 1644, 12483, 6, 64260, 10069, 41764, 21087, 4944, 29771, 203749, 1211, 1285, 2648, 29771, 4852, 125897, 1285, 76776, 2865, 40697, 116486, 26394, 46053, 4, 2205, 48706, 40096, 40697, 160238 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105235, 1644, 109226, 4, 6, 238144, 1644, 2205, 220224, 6093, 160238, 81829, 14764, 46053, 220224, 120202, 6, 64260, 1285, 116486, 26394, 46053, 3120, 710, 65482, 3373, 29771, 10918, 21106, 4113, 2200, 10184, 4852, 101328, 203749, 40697, 163139, 24152, 109226, 4, 37729, 119055, 13845, 107581, 1285, 141879, 119718, 53414, 2205, 4151, 21776, 21106, 131044, 27702, 2808, 54260, 5666, 21066, 71616, 2200, 657, 75230, 2882, 119055, 13845, 107581, 220224, 6, 234221, 4852, 18167, 2205, 1470, 54260, 1211, 6, 192539, 1211, 5, 10069, 82563, 20635, 2205, 620, 29771, 6293, 45223, 33225, 194706, 6, 75322, 39083, 3069, 112216, 38249, 4838, 6235, 94741, 20260, 4, 199145, 97594, 153222, 2882, 7746, 6, 23173, 75230, 2702, 2200, 119055, 13845, 12984, 8947, 3056, 1751, 159696, 2442, 132025, 13342, 4944, 71577, 1211, 2200, 7746, 230764, 24390, 3069, 192183, 26394, 120580, 52541, 4, 95455, 3056, 4151, 7201, 23173, 199145, 1285, 82563, 20635, 6, 128540, 7265, 4852, 18167, 160238, 1285, 6, 21106, 18415, 174538, 12483, 3120, 6319, 75322, 6293, 2200, 4151, 7201, 23173, 109226, 4, 119055, 13845, 107581, 56170, 1644, 54260, 40920, 53414, 3069, 4151, 23847, 54260, 12984, 1285, 3523, 54260, 4113, 174538, 12483, 4, 6, 172060, 185226, 163139, 6, 47351, 6, 21106, 18415, 6, 84577, 20315, 4484, 17310, 35189, 190386, 91595, 3069, 6, 95494, 33225, 1285, 28415, 56170, 7201, 39083, 88660, 188201, 4, 3523, 54260, 4113, 4151, 7916, 16747, 109226, 5, 220224, 7201, 23173, 87311, 15388, 95298, 7243, 6319, 54260, 1211, 69529, 55242, 22849, 16803, 29659, 188301, 4113, 178748, 28726, 4944, 4484, 54260, 28320, 56170, 84577, 119718, 7682, 1644, 17310, 2200, 116486, 108264, 15231, 159696, 2442, 161048, 30473, 80885, 69106, 5, 75322, 39083, 82563, 63532, 4151, 115556, 4, 36324, 7369, 37826, 4151, 23847, 54260, 40920, 4838, 6235, 119718, 106559, 3131, 65482, 29659, 25207, 1982, 17310, 4, 84475, 7369, 215594, 2205, 82563, 2050, 4838, 22518, 37016, 192956, 6, 170355, 4667, 4, 56170, 119055, 13845, 107581, 6093, 37826, 874, 151461, 4, 9747, 95455, 170479, 160238, 104378, 65146, 7369, 7746, 6235, 17268, 49008, 2205, 215031, 7916, 4852, 65689, 3069, 29659, 183512, 1054, 120467, 170479, 4, 37729, 220224, 1211, 64769, 28726, 4944, 4484, 54260, 2882, 7265, 4838, 21776, 21106, 1211, 3069, 29659, 183512, 2205, 119055, 13845, 12984, 4151, 115556, 37826, 7746, 6235, 17268, 49008, 4, 119055, 12483, 7369, 37826, 40653, 8903, 28726, 47332, 215031, 112216, 115398, 17310, 4, 6, 95494, 33225, 2205, 70845, 1285, 170315, 4852, 17645, 3120, 4838, 27702, 29659, 52480, 16932, 25391, 37016, 4, 84475, 32054, 54260, 2648, 5, 95766, 564, 54260, 20315, 10339, 21106, 1211, 3056, 1285, 40653, 28726, 1982, 17310, 7243, 36324, 75230, 1751, 57277, 24152, 4, 163139, 95455, 119718, 39083, 2882, 241997, 220224, 1211, 119055, 12483, 4151, 115556, 3056, 119055, 26612, 4667, 2200, 119055, 12483, 220224, 1211, 160238, 105235, 1644, 17310, 92500, 27702, 119718, 71616, 4852, 54260, 1211, 6319, 119718, 69803, 7916, 138194, 1211, 1285, 40653, 28726, 1982, 17310, 2205, 11265, 6, 120749, 133671, 119055, 77188, 5, 5666, 5, 874, 5, 15857, 2648, 29771, 617, 35189, 7201, 23173, 56170, 8903, 46053, 20033, 36324, 75230, 9915, 13845, 44064, 2205, 4231, 65482, 82563, 20635, 199145, 21923, 168155, 1470, 75230, 22680, 4113, 2932, 213952, 5, 4484, 71577, 710, 21338, 729, 6093, 2808, 46545, 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 ]
[ 182731, 17310, 2702, 173102, 6293, 10069, 94592, 710, 4944, 29771, 203749, 40697, 163139, 2702, 5666, 95494, 23741, 37826, 2205, 1285, 141879, 6, 101328, 61621, 4151, 23847, 54260, 40920, 1982, 15533, 2205, 1285, 56170, 1982, 29766, 2932, 16667, 18415, 7369, 16932, 3120, 115556, 28726, 12984, 6428, 135118, 12483, 2200, 84087, 1211, 5, 1644, 75230, 2882, 4151, 1470, 75230, 75578, 21066, 4113, 4944, 192956, 2442, 874, 54260, 3111, 23405, 3120, 4151, 4269, 59929, 22639, 18415, 7972, 8903, 69106, 3056, 64260, 4151, 160238, 48253, 166198, 6235, 101296, 40920, 6235, 119718, 29766, 1211, 43449, 75230, 4852, 7265, 4151, 11211, 108968, 3120, 4151, 22426, 21087, 4944, 29771, 208048, 7972, 39293, 2200, 4151, 22639, 10069, 119718, 56570, 21106, 41764, 21087, 4944, 39083, 29771, 46677, 4, 119055, 13845, 107581, 21923, 10813, 905, 18553, 29659, 1285, 1470, 54260, 112690, 39340, 199145, 6, 80453, 119718, 2884, 3069, 6, 208048, 1644, 15533, 52541, 7243, 133190, 10676, 96302, 3131, 28726, 12984, 27702, 119718, 71616, 4852, 54260, 1211, 4, 133190, 1470, 75230, 4667, 1470, 75230, 2702, 13342, 7201, 29766, 81829, 220224, 1211, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 4, 13342, 4151, 21733, 53414, 1285, 56170, 1982, 29766, 2932, 16667, 18415, 4151, 3131, 54260, 5666, 109226, 22639, 26, 2050, 41764, 21087, 4944, 65689, 115556, 28726, 12984, 98478, 2200, 3069, 564, 21106, 75230, 40920, 1211, 1285, 364, 183512, 1644, 109226, 199145, 55242, 12483, 194706, 1470, 75230, 2702, 10705, 112595, 23173, 105235, 16747, 44779, 5, 119718, 710, 20033, 57973, 6235, 104149, 2205, 10676, 40026, 6093, 103023, 1211, 6319, 71577, 710, 21338, 4, 3056, 7243, 133190, 119718, 120467, 4151, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 3056, 7243, 6, 35596, 2648, 87442, 6235, 119718, 29766, 1211, 73784, 7369, 29659, 1211, 874, 39083, 95766, 6, 64260, 1285, 32887, 29766, 710, 13159, 4, 133190, 2205, 220224, 119055, 53414, 1470, 75230, 4667, 220224, 23269, 6, 218872, 13159, 4151, 21733, 77188, 2808, 75230, 6293, 4838, 6, 168155, 1470, 75230, 75578, 21066, 4113, 10813, 4113, 12984, 185527, 2819, 40653, 10676, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 186145, 33225, 20033, 4838, 3373, 4667, 4838, 86510, 123073, 2200, 4269, 28726, 57619, 83182, 4113, 160238, 3131, 17310, 564, 54260, 10676, 6235, 7511, 21106, 1211, 22680, 48904, 8300, 75230, 4852, 65689, 41764, 21087, 4944, 29771, 203749, 10184, 6093, 6, 163177, 48904, 29060, 15, 26612, 19550, 110167, 3120, 116486, 7201, 13159, 29766, 32054, 75230, 2648, 194, 62808, 65146, 1211, 95298, 3069, 6093, 29659, 3069, 186145, 28320, 1470, 75230, 2702, 13342, 80453, 119718, 2884, 1285, 9424, 35596, 48775, 28726, 90709, 850, 159696, 1644, 107581, 21923, 3373, 54260, 657, 75230, 2882, 4151, 874, 54260, 3111, 23405, 3120, 10676, 6, 68566, 83182, 3120, 4151, 41764, 21087, 4944, 29771, 208048, 7972, 39293, 116486, 7201, 13159, 29766, 32054, 75230, 2648, 4, 2200, 3373, 54260, 657, 75230, 2882, 10676, 6, 68566, 83182, 3120, 4151, 22639, 2648, 10069, 119718, 56570, 21106, 41764, 21087, 4944, 39083, 29771, 46677, 32054, 29771, 7201, 13159, 29766, 6, 93704, 44478, 4, 133190, 16175, 54260, 1644, 238144, 4852, 27702, 119718, 71616, 4, 46685, 16803, 13497, 54260, 1644, 95298, 101251, 1982, 26612, 119718, 71616, 2200, 27702, 2808, 54260, 5666, 21066, 24244, 12483, 101251, 1982, 26612, 119718, 71616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 150839, 54260, 2882, 7201, 23173, 10676, 115374, 220224, 1211, 41764, 21087, 4944, 7682, 4, 6428, 5, 506, 5, 220224, 1211, 84087, 1211, 2200, 6428, 135118, 12483, 5, 1285, 9424, 238144, 18415, 29766, 29060, 123329, 6, 234221, 4, 36324, 6, 64260, 4151, 9424, 35596, 48775, 44478, 90709, 6, 105235, 21295, 7265, 7746, 7201, 29766, 4838, 6235, 119718, 710, 36419, 1751, 186145, 1982, 17310, 4, 199145, 27702, 119718, 9221, 20911, 10676, 4269, 48904, 64213, 116486, 26394, 2702, 3120, 28726, 18406, 4, 2200, 3056, 4151, 56170, 1982, 29766, 2932, 114436, 9424, 159696, 4484, 3120, 76961, 115556, 192956, 6, 57277, 28320, 5, 1982, 54260, 20315, 41764, 21087, 4944, 29771, 203749, 1211, 67826, 51723, 95298, 7243, 1470, 54260, 1211, 2205, 199145, 6, 64260, 4151, 9424, 35596, 48775, 44478, 90709, 27702, 29659, 54260, 2882, 5, 22426, 90848, 7201, 13159, 29766, 32054, 75230, 2648, 364, 186955, 36324, 1285, 7369, 64260, 40697, 1751, 186145, 1982, 17310, 4, 4151, 22639, 89184, 192956, 2442, 29434, 48904, 2932, 3069, 73095, 13805, 25603, 44478, 27702, 211630, 7682, 17310, 4, 3056, 4151, 364, 75230, 22426, 2882, 6, 109316, 96302, 69355, 10676, 115556, 28726, 12984, 6428, 135118, 12483, 4, 84087, 1211, 2200, 364, 183512, 1644, 12483, 4, 292, 2200, 116486, 7201, 13159, 29766, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 21213, 93704, 44478, 364, 186955, 4838, 75386, 10676, 90709, 2200, 364, 75230, 22426, 2882, 1751, 186145, 1982, 17310, 3120, 98478, 4, 10676, 163139, 67873, 13342, 182731, 1211, 5, 564, 54260, 20315, 21923, 2205, 4151, 364, 24295, 30473, 40920, 6, 84577, 26612, 2932, 171433, 34533, 13456, 1470, 54260, 59461, 73784, 8300, 238144, 28320, 2200, 1470, 54260, 59461, 657, 54260, 4484, 13497, 120202, 10676, 9424, 238144, 18415, 16667, 27702, 506, 75230, 23741, 109226, 230764, 10676, 2648, 29771, 4852, 133671, 6235, 94114, 5, 22680, 75230, 2648, 4, 119055, 13845, 104238, 364, 186955, 36324, 1285, 115556, 192956, 6235, 94741, 20260, 12483, 2200, 6, 57277, 28320, 4852, 171428, 116486, 108264, 28320, 3120, 4151, 7369, 64260, 7682, 2200, 21776, 124740, 57277, 28320, 3120, 10676, 7243, 27702, 211630, 93449, 1211, 73095, 13805, 25603, 67873, 81414, 1982, 4, 4151, 21733, 77188, 4151, 1982, 54260, 4, 36324, 4151, 7369, 64260, 152185, 13982, 48904, 2932, 6, 212484, 2882, 7746, 7243, 56170, 7511, 40920, 1211, 7265, 6319, 54260, 1211, 69529, 174538, 12483, 4, 119055, 12483, 3373, 26, 68313, 24390, 4838, 1982, 2702, 39083, 36609, 101251, 24621, 2932, 44779, 3069, 6235, 7916, 49008, 220224, 1211, 3523, 40096, 9221, 192956, 27702, 211630, 18640, 17310, 4, 119718, 120467, 29434, 905, 20911, 7746, 1470, 75230, 2702, 2205, 10676, 2190, 127209, 40096, 9221, 28726, 4944, 119364, 15, 1644, 75230, 2882, 178766, 4113, 27702, 68566, 33225, 16, 73095, 13805, 25603, 67873, 6, 129071, 4, 241662, 6235, 7916, 13497, 7369, 1285, 27702, 211630, 7682, 17310, 37729, 183512, 123073, 6, 159696, 15388, 5, 2205, 10676, 115556, 16667, 22639, 6093, 28726, 12984, 98478, 119055, 77188, 1285, 207013, 6093, 64260, 40697, 6319, 48775, 23741, 56170, 119718, 183512, 21295, 2205, 9424, 238144, 115222, 2932, 23405, 48350, 21660, 18415, 167048, 63593, 109226, 4, 159696, 1644, 107581, 364, 54260, 46053, 230764, 116486, 7201, 13159, 29766, 32054, 75230, 150715, 145813, 48775, 4667, 152, 56170, 13982, 141847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17310, 92500, 214804, 52480, 215726, 5, 1285, 56170, 13982, 141847, 17310, 3056, 1285, 6, 218872, 4113, 3120, 10676, 27702, 119718, 71616, 4852, 54260, 1211, 2200, 137, 41643, 149364, 161048, 29771, 2004, 119718, 120467, 107776, 4838, 75386, 4838, 160238, 2050, 3120, 10676, 163139, 67873, 7746, 3069, 155787, 35596, 42733, 31623, 52541, 7265, 10676, 36419, 13805, 25603, 67873, 34654, 119718, 14081, 4, 15, 1982, 54260, 2050, 192544, 3056, 6, 64260, 4151, 34654, 119718, 14081, 28415, 16803, 13497, 54260, 1644, 220224, 1211, 2808, 54260, 2932, 114436, 10339, 64260, 6093, 16, 2200, 6, 64260, 4151, 137, 41643, 149364, 161048, 29771, 155, 6, 105235, 21295, 7265, 7746, 160238, 20315, 2050, 874, 29766, 21106, 65689, 192183, 226112, 7972, 29766, 5, 22680, 75230, 2648, 6, 105235, 21295, 45521, 16803, 4, 36324, 119055, 12483, 4151, 115556, 56170, 13982, 141847, 2882, 220224, 23269, 6093, 64260, 40697, 6235, 46590, 1211, 4, 241662, 6319, 77188, 7746, 40611, 1285, 7243, 56170, 159696, 152848, 18415, 114436, 46677, 6235, 15388, 10676, 115374, 2200, 22753, 6235, 7916, 13497, 11265, 7369, 64260, 40697, 1470, 75230, 35044, 142429, 17310, 95766, 4151, 9424, 79238, 16932, 17310, 3120, 10676, 115556, 28726, 12984, 34076, 54260, 4944, 8903, 119718, 710, 40920, 5, 36324, 13845, 107581, 96302, 81829, 119055, 53414, 874, 15533, 84577, 90848, 7916, 3131, 4, 56170, 203326, 1211, 4, 1470, 75230, 111137, 25207, 98833, 4, 48277, 48904, 4944, 39083, 13456, 2200, 4484, 71577, 162642, 23269, 5, 1285, 214804, 52480, 215726, 4, 163139, 35189, 4, 6, 94741, 63020, 7265, 7746, 160238, 128540, 4838, 6, 56052, 7201, 23173, 8300, 238144, 21066, 18415, 44458, 29659, 2648, 141847, 17310, 37640, 5666, 26, 2050, 130170, 1982, 26612, 119718, 71616, 4852, 54260, 1211, 3069, 6235, 7916, 49008, 4, 2205, 4838, 199145, 56170, 4838, 7243, 3056, 160238, 4113, 4, 1285, 73095, 13805, 905, 109316, 1982, 26612, 211630, 7682, 17310, 5, 10069, 160238, 51723, 2200, 174538, 12483, 4151, 13342, 21923, 101251, 141943, 44779, 84087, 4, 4151, 7201, 23173, 4, 1644, 75230, 2882, 220224, 1211, 874, 54260, 3111, 23405, 4, 3056, 6, 57277, 39340, 1285, 6, 129071, 710, 119718, 131044, 3120, 10676, 115374, 36324, 75230, 84087, 7201, 23173, 159377, 2200, 36324, 75230, 56170, 16629, 2648, 5666, 23173, 46545, 2205, 11265, 4113, 3373, 29771, 10918, 21106, 4113, 1470, 75230, 92904, 905, 38249, 5, 10069, 81444, 4852, 125897, 1470, 75230, 2702, 3131, 22426, 48904, 17310, 6319, 68558, 6, 75322, 39083, 132025, 101470, 4838, 6235, 39293, 1644, 95494, 23741, 192956, 7201, 29766, 4113, 4, 2200, 6, 75322, 39083, 6319, 68558, 22753, 220224, 1211, 6, 84577, 21292, 29771, 10918, 21106, 4, 6, 75322, 39083, 3056, 22753, 6, 95494, 59919, 13456, 2200, 75322, 39083, 6, 26394, 105235, 25207, 184855, 2819, 38087, 19063, 2200, 56170, 1982, 25207, 12984, 4, 6, 172060, 185226, 163139, 120202, 59919, 55823, 2808, 7682, 54260, 2882, 4, 2882, 21106, 84577, 4, 163139, 2702, 16667, 27909, 29659, 4, 657, 71616, 73784, 119055, 183512, 53414, 4, 76961, 2702, 3056, 43449, 75230, 4852, 214804, 710, 62808, 18415, 7369, 64260, 7682, 5, 69355, 32054, 75230, 150715, 9424, 39083, 2442, 54260, 107581, 564, 54260, 3131, 22426, 159993, 29434, 23174, 2882, 6, 23173, 75230, 2702, 4, 36324, 4151, 3373, 29771, 54100, 3523, 5, 874, 5, 15857, 94741, 54260, 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 ]
[ 6093, 87481, 26612, 710, 21295, 3120, 10676, 115556, 16667, 6, 129071, 710, 119718, 131044, 84577, 119718, 7682, 21295, 7746, 21776, 71804, 15231, 119718, 73784, 1470, 88945, 21106, 3120, 4852, 54260, 1211, 45495, 149364, 161048, 29771, 4, 2200, 36324, 1285, 22639, 10069, 119718, 181247, 1644, 73381, 29766, 2050, 2200, 22639, 18415, 16667, 131044, 3120, 6, 64260, 4151, 129071, 710, 119718, 131044, 4, 3056, 120202, 506, 141847, 7682, 3120, 4, 2200, 116486, 204403, 29025, 101328, 151227, 3069, 10676, 195107, 3120, 10676, 22639, 6093, 28726, 12984, 7369, 64260, 65689, 29434, 48904, 2932, 5, 2648, 120467, 874, 54260, 13497, 95298, 7243, 4, 36324, 6, 64260, 1285, 160238, 2050, 2200, 87481, 186955, 6, 95494, 33225, 6, 47351, 364, 23173, 87311, 142170, 2205, 10676, 115556, 16667, 41764, 21087, 4944, 39083, 29771, 46677, 4, 56170, 75290, 2882, 4, 8947, 107776, 160238, 6, 47351, 2808, 54260, 1982, 123329, 6319, 75322, 6293, 4, 9424, 119718, 65689, 10676, 27702, 119718, 71616, 1211, 4, 3373, 29771, 10918, 21106, 1211, 14004, 5927, 186955, 4, 119055, 13845, 104238, 3056, 43449, 75230, 4852, 6, 47351, 22639, 10069, 119718, 181247, 1644, 73381, 29766, 2050, 4, 2200, 9424, 119718, 65689, 10676, 101251, 1982, 26612, 119718, 71616, 1211, 4, 22639, 10069, 119718, 181247, 67873, 87481, 186955, 119055, 13845, 104238, 3056, 133190, 2205, 4852, 54260, 1211, 160238, 2050, 3373, 29771, 10918, 21106, 74, 2205, 82563, 2050, 84475, 119055, 12483, 4151, 115556, 28726, 47332, 40653, 6, 59461, 159696, 39293, 148707, 26394, 46053, 4, 6319, 53414, 7746, 3069, 70845, 76961, 2865, 39083, 40611, 4, 130170, 20315, 2050, 3069, 20315, 4484, 3120, 56170, 16629, 2648, 65482, 177157, 1982, 39083, 1211, 4, 1285, 1470, 54260, 159377, 73095, 13805, 905, 109316, 22639, 10069, 75230, 29257, 109316, 2200, 6, 84577, 21292, 29771, 10918, 21106, 4113, 1751, 186145, 1982, 109226, 5, 20033, 55242, 12483, 163139, 4151, 45495, 149364, 4113, 2932, 2808, 4, 119055, 13845, 104238, 3056, 6, 21106, 54260, 1211, 4838, 160238, 2050, 3120, 40026, 6093, 214804, 710, 62808, 16932, 7369, 64260, 7682, 3120, 10676, 192544, 4, 119055, 77188, 56170, 119718, 183512, 21295, 95766, 220224, 1211, 115222, 2932, 5666, 170355, 7611, 2200, 130170, 13982, 93449, 1285, 40653, 125897, 7369, 64260, 40697, 1751, 186145, 1982, 109226, 4, 6093, 4151, 21733, 77188, 40653, 220224, 4838, 167048, 43178, 8903, 9424, 43178, 96626, 2200, 6, 212484, 2882, 220224, 37729, 133190, 20315, 87311, 21295, 119055, 12483, 6, 54260, 4269, 91275, 171428, 7746, 37729, 2205, 4151, 6235, 29659, 186955, 3120, 177157, 1982, 39083, 1211, 92500, 3523, 54260, 4113, 214804, 52480, 215726, 2702, 5, 22680, 75230, 2648, 27702, 3111, 56169, 7746, 4, 36324, 75230, 4838, 68550, 4, 101251, 1982, 26612, 119718, 71616, 150839, 54260, 2882, 144754, 4838, 1285, 21106, 87442, 152185, 160238, 2050, 3120, 1751, 145161, 53414, 4, 95298, 4838, 133880, 10676, 4, 199145, 10069, 1285, 21106, 87442, 7682, 3056, 564, 54260, 70845, 6, 47351, 101251, 1982, 26612, 119718, 905, 80885, 4, 3056, 39083, 54196, 7369, 125523, 4151, 13342, 4852, 54260, 1211, 160238, 3131, 17310, 3120, 1285, 163139, 24152, 109226, 4, 199145, 1285, 123736, 12890, 87442, 710, 159696, 1285, 21106, 87442, 40697, 1982, 26612, 159696, 2932, 109226, 4, 119055, 13845, 107581, 56170, 75290, 149364, 1211, 7265, 7746, 1285, 4838, 144532, 125897, 101251, 105235, 16747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 4, 14004, 18406, 1470, 75230, 2702, 230764, 10676, 6235, 94114, 3120, 6, 64260, 4151, 160238, 3131, 17310, 5, 7369, 56170, 119718, 183512, 21295, 35189, 7201, 23173, 220224, 23269, 6, 208048, 7972, 56880, 2205, 10498, 39083, 4113, 4, 14856, 57277, 7916, 4852, 40697, 27702, 68566, 33225, 6, 159696, 15388, 6, 71577, 21087, 4944, 39083, 29771, 46677, 4, 199145, 6, 105235, 21295, 7265, 7746, 160238, 4838, 6, 56052, 4838, 1982, 2702, 39083, 905, 18415, 4, 55242, 22849, 16803, 29659, 188301, 4113, 4, 22639, 6093, 192956, 2200, 3056, 39083, 9221, 18415, 27702, 159696, 2932, 17310, 4, 2200, 7369, 10339, 186955, 10339, 39083, 2932, 44779, 6, 23173, 54260, 1211, 2205, 48706, 40096, 710, 38596, 54260, 2882, 5, 77518, 178766, 6428, 135118, 12483, 3056, 4, 163139, 76961, 2050, 230764, 4151, 6, 159696, 21295, 4, 1285, 21106, 87442, 13456, 4, 101251, 137377, 506, 141847, 7682, 3120, 178766, 163139, 67873, 2200, 3120, 10676, 21422, 20033, 21923, 230764, 10676, 27702, 119718, 71616, 4, 10918, 7243, 5, 2205, 10676, 6, 109995, 199145, 20033, 27702, 3111, 64213, 95298, 1285, 32887, 155045, 49008, 137, 10069, 21106, 87442, 13456, 2004, 29771, 35189, 137, 16803, 40096, 13456, 155, 6428, 135118, 12483, 4, 130170, 3131, 54260, 35465, 20033, 4151, 144754, 9424, 119718, 65689, 10676, 2882, 131539, 27702, 119718, 71616, 30473, 29171, 1211, 2200, 163139, 2702, 5666, 95494, 23741, 10069, 1285, 21106, 87442, 7682, 3120, 6235, 46590, 2200, 6235, 94741, 20260, 44141, 103854, 10676, 199145, 32054, 75230, 2648, 364, 186955, 36324, 7243, 133190, 1285, 22639, 10069, 119718, 56570, 109316, 96302, 3131, 192956, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 2200, 6, 57277, 28320, 4, 133190, 1470, 75230, 4667, 117902, 69181, 40697, 2200, 5332, 88660, 113889, 2865, 40697, 6235, 36326, 161829, 1211, 2200, 364, 34533, 29766, 40697, 6, 84577, 119718, 7682, 1644, 109226, 119055, 53414, 56170, 63864, 170355, 40920, 103854, 6, 64260, 10676, 22639, 6093, 28726, 12984, 2200, 4, 657, 75230, 2882, 220224, 1211, 874, 54260, 3111, 23405, 4, 6, 21106, 2865, 91595, 133671, 29434, 48904, 2932, 4, 7201, 23173, 29659, 54260, 2882, 7369, 125523, 7243, 10676, 73095, 13805, 25603, 67873, 81414, 1982, 9721, 54260, 16932, 4, 163139, 6, 64260, 4151, 65848, 1982, 3056, 2205, 6, 47351, 88771, 4, 15, 119718, 120467, 28415, 20033, 46711, 54260, 18406, 40653, 2200, 4151, 238144, 16932, 1211, 4852, 18167, 3120, 1285, 21776, 21106, 4113, 1470, 54260, 2932, 5666, 95494, 23741, 1211, 3120, 4838, 4151, 3131, 54260, 3111, 23405, 4, 6, 21106, 7611, 6, 238144, 29171, 6093, 56170, 29659, 54260, 12483, 20033, 22753, 4, 6, 238144, 1644, 6, 238144, 158652, 54260, 2882, 2200, 9721, 54260, 158652, 54260, 2882, 3120, 56170, 29659, 54260, 12483, 4151, 3131, 54260, 5666, 109226, 51678, 20033, 4151, 23847, 54260, 12984, 133190, 241662, 4, 119055, 12483, 20033, 4151, 5666, 216510, 1211, 4852, 18167, 3069, 220224, 6093, 21776, 21106, 131044, 247, 133190, 7369, 56170, 119718, 183512, 21295, 1470, 75230, 4667, 220224, 23269, 160238, 105235, 1644, 109226, 40653, 3373, 29771, 10918, 21106, 4113, 2200, 364, 34533, 29766, 40697, 6235, 36326, 161829, 1211, 2205, 28415, 27702, 23847, 65482, 8300, 18415, 92500, 48706, 40096, 40697, 27702, 68566, 33225, 5, 159696, 1211, 20033, 56170, 21847, 54260, 12984, 4151, 7201, 23173, 32054, 75230, 150715, 32887 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]