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
[ 3373, 33809, 2648, 6, 4, 220224, 49008, 6235, 148346, 1644, 17645, 148346, 12483, 506, 4113, 4944, 16803, 3069, 31467, 40026, 16870, 12483, 1470, 33809, 5666, 39484, 31467, 12483, 141107, 42493, 241997, 123736, 17160, 75230, 148346, 12483, 10676, 4231, 33809, 183216, 93704, 119718, 34882, 26632, 6, 5, 137, 26612, 41545, 4667, 10339, 33809, 1211, 364, 52480, 24621, 1644, 155, 6655, 6, 61397, 6093, 150764, 6, 4, 41764, 3131, 33809, 2882, 6235, 5, 45629, 18415, 905, 29060, 4838, 14856, 110970, 12483, 3120, 16175, 75230, 33716, 6, 5, 14856, 46244, 10339, 33809, 1211, 76961, 51723, 6655, 7746, 6235, 22680, 54260, 2882, 25491, 2702, 96743, 36723, 6, 4, 7369, 3056, 3069, 195054, 68561, 12483, 3069, 31467, 2050, 6, 23173, 119718, 34882, 26632, 6, 4, 1470, 30682, 1285, 364, 104274, 6235, 8903, 1982, 12483, 1470, 33809, 5666, 6235, 4852, 62067, 152, 2451, 23050, 20616, 2442, 16932, 49920, 2442, 711, 1470, 54260, 6093, 9174, 66362, 6, 64260, 6235, 45629, 18415, 4113, 29060, 874, 54260, 1211, 6, 101608, 6, 5, 2451, 1438, 292, 62808, 163139, 1644, 12483, 1470, 54260, 4667, 19024, 20260, 12483, 163139, 6235, 506, 6093, 18640, 3056, 6, 5, 3523, 26632, 1470, 54260, 4667, 6, 64260, 1285, 29434, 54260, 105515, 141943, 21776, 16747, 44779, 6681, 1470, 54260, 6093, 6, 117404, 6, 5, 2451, 6255, 19024, 20260, 1470, 54260, 4667, 6, 54260, 6093, 6681, 24857, 6235, 119425, 6, 4, 6655, 6235, 29771, 13497, 159696, 33716, 7265, 26612, 10498, 54260, 4944, 13845, 4151, 6, 23173, 119718, 34882, 26632, 6, 4, 34076, 75230, 148346, 2882, 20033, 6, 4, 36324, 6255, 39484, 14856, 46244, 221531, 119718, 710, 9213, 46244, 6, 4, 3069, 31467, 6235, 119718, 710, 49008, 36324, 2808, 6, 150349, 45629, 159696, 6, 5, 3523, 33809, 2442, 1470, 75230, 148346, 9213, 46244, 163139, 21295, 18133, 46985, 6255, 4852, 14081, 39484, 31467, 12483, 10339, 33809, 1211, 1470, 54260, 4667, 4838, 97995, 135118, 12483, 6, 5, 97483, 1751, 54260, 185226, 20033, 21776, 2050, 7508, 23174, 4, 119055, 46646, 2808, 75230, 6293, 4838, 54260, 2442, 198754, 6093, 364, 104274, 6, 5, 2808, 33809, 112304, 34533, 6655, 6235, 30750, 96986, 564, 46646, 2702, 32829, 2808, 3069, 31467, 23050, 506, 51723, 6, 148346, 54260, 1470, 30682, 6, 21106, 7611, 119718, 46646, 4151, 4838, 25207, 34882, 26632, 163139, 1644, 6, 4, 3523, 33809, 2442, 42493, 54745, 1211, 7508, 23174, 6, 5, 6, 148346, 158291, 2808, 23173, 6655, 7746, 26612, 54260, 5666, 8903, 37016, 3131, 11851, 31467, 1470, 33809, 5666, 230764, 6319, 54260, 1211, 117641, 42493, 6235, 119718, 158291, 49920, 12483, 6, 159696, 8903, 1211, 4838, 22492, 83182, 148346, 13845, 75230, 3111, 23405, 6, 4, 6, 148346, 15533, 6, 148346, 46646, 2702, 64567, 2808, 6655, 7265, 4838, 238144, 2882, 64567, 2205, 68889, 26394, 1211, 6235, 2865, 33809, 36609, 17288, 5, 2442, 33809, 13497, 6093, 6235, 506, 51723, 54745, 1211, 7508, 23174, 6, 4, 119055, 34322, 41764, 20961, 42180, 6655, 1470, 30682, 6235, 8903, 1982, 12483, 564, 54260, 1285, 124470, 22492, 448, 6, 4, 2190, 5666, 1470, 30682, 7508, 6093, 143409, 2882, 10676, 4231, 33809, 183216, 6, 23173, 119718, 34882, 26632, 6, 5, 24857, 905, 13845, 148346, 4113, 6655, 2808, 75230, 4667, 6235, 23093, 33809, 1211, 21422, 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 ]
[ 1285, 4113, 6093, 1470, 33809, 5666, 4838, 159696, 4484, 8903, 8903, 1982, 12483, 220224, 1211, 10367, 24390, 7508, 23174, 10676, 10069, 114436, 10339, 33809, 1211, 10676, 6, 23173, 119718, 34882, 26632, 6, 5, 22492, 133324, 46598, 6655, 7746, 4151, 4838, 15529, 34882, 26632, 7265, 220224, 74806, 54260, 2648, 2882, 2190, 5666, 45521, 136108, 54260, 4852, 2882, 7265, 10918, 1211, 1285, 4113, 61397, 6, 5, 10001, 84577, 32829, 2808, 6655, 7265, 45521, 48974, 110317, 12483, 132025, 8903, 3111, 31467, 51723, 564, 46646, 2702, 32829, 46646, 1470, 54260, 100863, 69859, 33809, 91275, 8300, 33809, 32899, 46244, 12483, 7265, 1470, 30682, 49481, 6, 148346, 13845, 2865, 62067, 6, 5, 2451, 140108, 12483, 6, 4, 6655, 6235, 33809, 98833, 6, 148346, 46646, 2702, 32829, 2808, 6, 4, 119055, 119273, 33809, 7746, 1470, 75230, 49268, 33809, 506, 12483, 49481, 35189, 657, 48904, 61397, 1470, 33809, 5666, 1751, 159696, 2442, 6093, 6, 124470, 131445, 506, 6, 5, 41764, 20961, 42180, 119055, 29060, 5332, 46244, 220224, 1211, 3069, 31467, 80453, 710, 16870, 12483, 144754, 124724, 6, 148346, 37016, 62067, 3131, 145702, 3069, 31467, 15864, 4944, 12483, 6, 5, 6255, 39484, 31467, 9213, 46244, 36324, 75230, 10184, 13845, 5, 2451, 1372, 292, 6093, 26394, 506, 21295, 10339, 33809, 1211, 124724, 6, 4, 36324, 22753, 115222, 49209, 7746, 1751, 75230, 1211, 42493, 4151, 3111, 101503, 12483, 1285, 6, 117397, 33809, 2882, 10069, 4667, 3069, 31467, 55242, 506, 12483, 6, 148346, 54260, 1470, 33809, 54561, 2205, 364, 75230, 4852, 6, 5, 4838, 4667, 6, 159696, 49209, 6428, 33809, 119055, 14081, 16803, 6235, 39293, 506, 12483, 7265, 64044, 4838, 174538, 54260, 2648, 22753, 6655, 205026, 74806, 93449, 3069, 31467, 124724, 711, 34076, 75230, 148346, 20033, 2181, 3056, 14004, 46244, 6235, 185337, 12483, 1470, 33809, 2050, 182990, 1211, 17190, 148346, 12483, 1285, 4667, 40026, 3069, 31467, 55242, 506, 12483, 6, 5, 1470, 33809, 5666, 123736, 18167, 105235, 1644, 20033, 6681, 163139, 9213, 148346, 6093, 110703, 2882, 22753, 119055, 29060, 220224, 1211, 10339, 33809, 1211, 2190, 61397, 6319, 33809, 51723, 6, 5, 159696, 49209, 6, 148346, 46646, 2702, 32829, 2808, 47567, 163139, 40377, 12483, 6, 4, 36324, 4151, 4231, 33809, 23405, 6093, 6, 23173, 119718, 34882, 26632, 3056, 6235, 5, 159696, 1211, 42493, 6319, 54260, 1211, 221895, 2442, 6, 104985, 220224, 1211, 40653, 8903, 21733, 54260, 20315, 18415, 32054, 75230, 6, 4, 119055, 158291, 7369, 93047, 6093, 2050, 6, 61397, 77188, 6, 4, 3523, 33809, 2442, 4231, 29060, 56169, 6655, 7369, 42493, 1470, 75230, 111137, 506, 77188, 7746, 3069, 31467, 6, 148346, 4113, 5, 21733, 64567, 12483, 6681, 6, 84577, 32829, 17537, 230764, 10676, 6, 4, 5332, 46646, 7369, 6655, 74806, 48904, 165354, 10676, 23173, 119718, 34882, 26632, 54745, 1211, 7508, 23174, 6, 5, 49920, 54260, 23405, 20616, 43178, 215206, 2205, 43649, 33809, 148346, 6655, 7369, 7746, 1470, 75230, 4667, 8903, 506, 15907, 1285, 364, 210726, 364, 75230, 4667, 1470, 75230, 7201, 8300, 33809, 506, 75230, 148346, 12483, 6, 4, 6, 148346, 12415, 41764, 20961, 42180, 47567, 42493, 6235, 4113, 43590, 2442, 159696, 25207, 1211, 10339, 33809, 1211, 4151, 6, 104038, 6, 5, 3523, 9221, 1470, 33809, 112304, 34533, 3056, 6235, 159696, 1211, 220224, 1211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 117404, 6, 5, 2205, 4838, 20961, 155697, 6, 23173, 33809, 2050, 2205, 6235, 4113, 20961, 12483, 4838, 6, 61397, 33809, 35189, 6, 5, 23050, 12415, 40377, 2808, 6655, 167048, 141847, 6235, 7201, 142429, 77188, 69355, 199720, 10918, 2808, 8903, 9213, 46244, 202731, 16629, 1211, 6, 223390, 6093, 1644, 2190, 5666, 7369, 6655, 74806, 119718, 29766, 12483, 36324, 7369, 192061, 2181, 6235, 11556, 33809, 2882, 6235, 148346, 12483, 21776, 2050, 6, 23173, 119718, 34882, 26632, 2050, 1285, 114436, 6, 5, 6, 148346, 54260, 1285, 119055, 6093, 16932, 192061, 6681, 10918, 49597, 4113, 9213, 148346, 6093, 8903, 31249, 64567, 12483, 6, 84577, 112711, 33809, 2050, 6, 5, 6093, 26394, 54574, 33809, 23405, 1470, 33809, 5666, 6235, 148346, 29060, 12483, 148346, 46646, 96743, 127710, 7369, 47567, 9213, 46244, 6, 238144, 12483, 54745, 1211, 7508, 23174, 6, 4, 119055, 46646, 7369, 6655, 10339, 33809, 1211, 9213, 506, 95064, 58679, 8903, 1211, 564, 54260, 1285, 10367, 24390, 6, 5, 564, 46646, 96743, 4113, 2808, 3056, 195007, 2702, 6235, 119718, 29766, 12483, 6, 4, 1285, 1470, 75230, 8903, 1211, 23173, 34557, 8903, 55451, 12483, 3069, 31467, 7508, 25207, 136108, 1470, 33809, 5666, 67826, 1644, 6235, 62067, 159696, 33716, 152, 2451, 41764, 20961, 42180, 6, 4, 874, 54260, 1211, 32054, 54260, 16747, 6255, 39484, 6235, 30473, 16747, 41595, 6, 4, 6, 104985, 6, 159696, 49209, 6428, 33809, 47567, 16803, 119718, 21292, 12483, 6, 148346, 54260, 119055, 13845, 107581, 6235, 28726, 8903, 5927, 54260, 96986, 1470, 33809, 5666, 6, 159696, 51723, 6255, 39484, 31467, 4838, 159696, 4484, 8903, 8903, 1982, 12483, 6428, 54260, 1211, 7508, 23174, 6, 4, 42493, 119055, 46646, 6681, 4838, 98071, 116174, 448, 6255, 39484, 1470, 30682, 3120, 874, 54260, 1211, 364, 93047, 20961, 33809, 194734, 95064, 3111, 31467, 51723, 119055, 14081, 16803, 6428, 33809, 1285, 4667, 141107, 42493, 160751, 54260, 4852, 77188, 230764, 205026, 6, 5, 22426, 20961, 8903, 6655, 7746, 185000, 42493, 49920, 186797, 220224, 1211, 6, 124470, 3131, 33809, 25559, 1470, 33809, 5666, 90284, 65442, 8903, 74004, 98833, 152, 2451, 6681, 36326, 364, 143712, 6, 5, 119055, 6093, 6, 5, 46598, 163139, 1644, 42493, 6, 4, 42493, 42493, 6, 5, 6255, 34076, 75230, 148346, 141107, 12130, 8947, 5950, 220224, 1211, 1470, 2808, 51328, 152185, 874, 123844, 44693, 6, 4, 119055, 34322, 47567, 7746, 1157, 3131, 26394, 1211, 230764, 2451, 1702, 292, 5, 26612, 51328, 40697, 1211, 7508, 23174, 6, 5, 6235, 121865, 96743, 3056, 6235, 91595, 6, 4, 6255, 119055, 158291, 74806, 33353, 12483, 6150, 4151, 2442, 23174, 3056, 6, 148346, 54260, 4838, 6, 20260, 25559, 2205, 4151, 364, 104274, 6, 5, 25491, 2702, 2702, 32829, 2808, 6655, 7746, 6, 148346, 13845, 54260, 158548, 2882, 10339, 33809, 1211, 1285, 657, 29060, 8300, 18415, 119055, 6093, 16932, 1470, 33809, 5666, 7265, 85465, 71945, 6235, 29771, 13497, 159696, 33716, 152, 2451, 6255, 1751, 159696, 2442, 124724, 6, 148346, 54260, 874, 54260, 1211, 110573, 61722, 1470, 33809, 5666, 6, 148346, 54260, 874, 54260, 1211, 17190, 148346, 12483, 6, 5, 36324, 54745, 1211, 7508, 23174, 6655, 35189, 6, 23173, 119718, 34882, 26632, 42493, 6319, 54260, 1211, 6, 20260, 25559, 6, 5, 6255, 39484, 31467, 1470, 30682, 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 ]
[ 33809, 1211, 132025, 27720, 5666, 5666, 6235, 148346, 2808, 96986, 22492, 5666, 26394, 29434, 54260, 16175, 75230, 39293, 16747, 21776, 16747, 32792, 292, 1470, 33809, 5666, 7369, 6655, 7746, 4838, 54260, 5666, 8903, 37016, 3131, 11851, 31467, 4269, 33809, 2442, 54745, 1211, 2442, 23174, 6, 5, 43649, 13845, 124724, 6681, 874, 54260, 1211, 1157, 8903, 6, 4, 6, 159696, 49209, 6255, 39484, 31467, 6235, 39293, 42023, 6, 4, 36324, 4151, 23173, 119718, 34882, 26632, 6, 4, 119055, 46646, 6655, 6, 61397, 26632, 58032, 29060, 874, 54260, 1211, 87644, 4, 6235, 506, 2882, 4838, 159696, 4484, 7265, 657, 54260, 155, 196332, 1211, 5, 6255, 874, 54260, 1211, 6, 4, 6428, 33809, 119055, 14081, 16803, 1470, 75230, 4667, 42493, 564, 13159, 101608, 6235, 159696, 1211, 6, 5, 6255, 7501, 1470, 30682, 22492, 4944, 195054, 68561, 55823, 1211, 1470, 33809, 5666, 4151, 143409, 2882, 54745, 1211, 7508, 23174, 6, 5, 22426, 20961, 42180, 6655, 163139, 16870, 6093, 212911, 2882, 148346, 69181, 24295, 4838, 10498, 54260, 4944, 13845, 6235, 8903, 148346, 12483, 1470, 33809, 5666, 150764, 152, 2451, 874, 54260, 17410, 6, 4, 2181, 3056, 6, 59919, 145168, 12483, 6, 4, 3523, 33809, 2442, 6235, 2648, 54260, 185226, 41764, 46646, 230764, 6, 5, 36324, 4151, 23173, 119718, 34882, 26632, 47567, 6319, 75230, 1211, 73256, 42493, 6319, 33809, 51723, 3069, 31467, 194706, 1054, 54260, 1644, 2205, 10676, 7508, 23174, 3056, 148346, 3131, 33809, 6293, 6, 5, 163139, 6, 148346, 14081, 2648, 4151, 6, 23173, 119718, 34882, 26632, 6655, 1470, 30682, 2205, 4151, 14779, 5, 2442, 6, 5, 6, 174410, 6255, 2808, 30682, 6319, 54260, 1211, 196511, 42493, 123736, 76179, 8903, 1211, 6, 4, 4838, 46590, 33809, 75903, 49209, 6, 93497, 14081, 3120, 20033, 6, 59919, 143409, 12483, 10069, 17824, 13159, 18415, 68324, 506, 6, 5, 874, 54260, 1211, 42493, 4838, 905, 6255, 119055, 13845, 42493, 7369, 4484, 171428, 54745, 1211, 6, 93704, 119718, 34882, 26632, 6, 4, 35189, 7508, 23174, 119055, 29060, 1470, 33809, 54561, 1751, 75230, 1211, 6, 148346, 37016, 171428, 6, 5, 148346, 46646, 2702, 32829, 2808, 6655, 132025, 8903, 506, 75230, 148346, 12483, 3069, 31467, 6235, 506, 12483, 7265, 9915, 109316, 81414, 2882, 9213, 148346, 53414, 10918, 2865, 46685, 6, 5, 7369, 3056, 6235, 4113, 20961, 12483, 2205, 182990, 1211, 6, 5, 8300, 33809, 9719, 29659, 1470, 33809, 5666, 6655, 7746, 137, 4484, 54260, 1211, 21660, 506, 42493, 241997, 6235, 148346, 12483, 5, 1470, 54260, 1211, 6, 84577, 32829, 2808, 6655, 42493, 74806, 119718, 93975, 1211, 6, 4, 1470, 30682, 192061, 7746, 55242, 46244, 6235, 4113, 158291, 220224, 163139, 6093, 6093, 56976, 15864, 4944, 12483, 6, 4, 7369, 6655, 6235, 3111, 31467, 51723, 22426, 20961, 42180, 1211, 6681, 1285, 364, 104274, 2190, 5666, 6, 195054, 46646, 2702, 12483, 6, 4, 163139, 43649, 186797, 150764, 152, 2451, 118222, 34322, 6, 4, 6255, 1470, 54260, 59461, 6, 148346, 8580, 1751, 33809, 1644, 158548, 2205, 10676, 6, 4, 3069, 31467, 1644, 17645, 148346, 20033, 657, 54260, 2648, 16932, 6235, 15949, 4667, 2190, 110970, 33809, 1644, 215206, 220224, 2882, 1470, 30682, 7038, 54574, 24857, 73256, 1470, 33809, 5666, 6255, 7501, 1470, 54260, 4667, 139365, 7265, 874, 54260, 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 ]
[ 60980, 22426, 6293, 6, 5, 36324, 6, 17645, 105439, 5332, 29060, 7369, 1751, 75230, 1211, 6319, 75230, 5666, 122165, 42493, 6, 148346, 25207, 4944, 12483, 2451, 496, 292, 10069, 11139, 33809, 20616, 4, 9213, 46244, 6, 238144, 16803, 199250, 4269, 33809, 2882, 6, 4, 36324, 874, 54260, 23269, 72788, 850, 57906, 2882, 5, 22426, 20961, 42180, 6655, 1470, 30682, 4151, 143409, 2882, 54745, 1211, 7508, 23174, 1470, 33809, 5666, 150764, 152, 2451, 4269, 33809, 2882, 6, 4, 9213, 46244, 220224, 2882, 20033, 72788, 6, 5, 204982, 1470, 30682, 54745, 1211, 7508, 23174, 1470, 33809, 5666, 55242, 506, 2882, 4852, 36326, 165592, 2648, 46646, 73256, 47567, 7369, 1751, 75230, 1211, 202446, 12483, 119055, 101503, 6, 5, 3111, 31467, 2442, 6319, 75230, 2050, 6655, 564, 46646, 96743, 4113, 2808, 6235, 3111, 31467, 51723, 54745, 1211, 7508, 23174, 2205, 364, 104274, 6, 4, 6655, 72788, 14081, 2442, 45521, 112956, 12483, 6, 21106, 7611, 6, 5, 6, 5, 6093, 6655, 4838, 32054, 54260, 149010, 1211, 6, 181615, 230764, 41764, 20961, 42180, 1211, 6235, 119718, 23173, 55823, 1211, 2190, 5666, 4838, 6235, 25391, 54260, 6235, 8903, 148346, 12483, 152, 2451, 4269, 26632, 2882, 6, 4, 874, 54260, 1211, 4269, 26632, 2882, 711, 24857, 3056, 199250, 874, 54260, 1211, 7508, 23174, 6, 5, 19024, 1211, 6655, 41764, 20961, 42180, 10069, 6235, 119718, 710, 104149, 31807, 20961, 46646, 564, 144295, 6293, 119055, 46646, 4151, 41764, 710, 48350, 13159, 6655, 6, 195054, 54260, 35596, 2205, 3373, 33809, 127731, 33809, 5666, 220224, 34654, 49008, 6235, 4113, 43590, 2442, 6235, 4113, 20961, 12483, 6, 4, 163139, 36324, 75230, 22753, 7265, 9213, 46244, 1285, 172398, 2882, 59461, 21292, 96743, 39484, 31467, 12483, 74806, 22426, 17645, 21295, 1285, 48494, 1644, 17645, 10339, 33809, 1211, 10676, 6, 23173, 119718, 34882, 26632, 7265, 220224, 1211, 1285, 6093, 61397, 6, 5, 6, 84577, 79100, 6655, 7265, 46711, 6093, 12483, 2205, 1285, 1470, 75230, 8903, 1211, 4231, 29060, 29060, 49481, 4838, 122165, 61397, 167622, 2882, 1285, 4269, 33809, 18415, 97816, 4, 119055, 46646, 6, 148346, 46646, 2702, 32829, 2808, 3056, 6235, 27720, 46244, 12483, 2205, 6, 148346, 13845, 2865, 62067, 4852, 18167, 18906, 2648, 4667, 3069, 31467, 220224, 1211, 7265, 4151, 19302, 905, 61397, 41764, 20961, 42180, 6, 5, 1369, 292, 292, 364, 5, 4852, 6, 5, 81860, 710, 6, 153396, 9453, 6, 130125, 28106, 448, 2808, 5, 3069, 31467, 75290, 28714, 49209, 6, 4, 119055, 20961, 83957, 6, 76776, 28726, 119718, 16580, 361, 6, 5, 43590, 1644, 6, 19785, 6, 4, 9213, 12041, 54260, 2050, 7501, 6, 59731, 710, 111215, 6, 220763, 34671, 15, 26, 20585, 448, 6, 4, 152697, 62784, 448, 2181, 702, 21422, 30721, 16, 25601, 54260, 364, 59731, 448, 9356, 46685, 7682, 2808, 292, 28714, 609, 70192, 183548, 98886, 140746, 119490, 6031, 21219, 10125, 12023, 48253, 93497, 97634, 33809, 25559, 14236, 38025, 123451, 6, 4, 54460, 905, 106, 22444, 155, 1982, 6, 4, 564, 39248, 53464, 77138, 615, 1197, 10705, 18250, 1751, 79907, 51138, 6, 4, 6, 111060, 145631, 6, 4, 2384, 15231, 123387, 6, 4, 75936, 3131, 15050, 48099, 177974, 657, 36326, 36326, 28499, 5110, 45742, 28106, 657, 20911, 12130, 15096, 166623, 448 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2181, 21422, 30721, 9356, 609, 9616, 3944, 136119, 710, 4, 714, 2451, 106504, 13381, 217240, 609, 5332, 155, 2648, 364, 54260, 190214, 9356, 29025, 3111, 6428, 155, 2442, 29566, 91163, 2808, 6, 4, 423, 2451, 33534, 157859, 4, 6, 5, 23982, 36925, 710, 18895, 54260, 190214, 564, 60071, 165436, 4, 123451, 3069, 75290, 133111, 4, 496, 2451, 62812, 1470, 178417, 6, 4, 874, 76179, 7183, 100863, 609, 1470, 178417, 63921, 67512, 7195, 22492, 6, 4, 387, 2451, 506, 1982, 156270, 34482, 5332, 155, 710, 47940, 155, 2932, 6, 5, 28938, 1751, 98624, 2754, 12, 74388, 19063, 1470, 2451, 506, 1751, 910, 2451, 506, 226007, 59737, 95138, 2190, 89117, 55202, 6, 4, 6, 73215, 45629, 6, 4, 1470, 5, 48494, 4852, 43178, 36909, 13845, 2648, 1112, 2451, 231015, 609, 185684, 6, 4, 6, 220763, 2007, 54260, 7838, 30721, 564, 60071, 165436, 4, 874, 182759, 36419, 119718, 45631, 209, 2451, 18167, 6, 149703, 2190, 45495, 18406, 179863, 6, 220763, 11211, 42270, 167374, 63921, 6428, 155, 2442, 17190, 506, 133111, 6, 4, 506, 20616, 15307, 6, 100057, 2754, 6, 115768, 123451, 3069, 75290, 28714, 49209, 4, 209, 2451, 710, 47293, 2754, 53412, 506, 6, 220763, 63921, 6, 170355, 506, 29766, 874, 165592, 29771, 3149, 209, 2451, 7972, 92500, 364, 70129, 4, 6, 220763, 3523, 5, 4838, 13805, 92605, 18340, 6, 107878, 1470, 5, 105780, 153222, 119718, 64310, 714, 2451, 112304, 126256, 689, 1982, 155374, 2190, 23917, 86296, 905, 6, 4, 75936, 3523, 93676, 850, 220648, 850, 15200, 76866, 114788, 63921, 17297, 26, 19550, 10918, 2884, 4113, 155, 7611, 5, 6, 51437, 112272, 2181, 71425, 120580, 2050, 137, 105439, 4852, 126256, 155, 15, 185311, 850, 5110, 25616, 850, 32661, 2808, 9416, 9934, 127209, 3111, 895, 28106, 12065, 506, 423, 2451, 17017, 15949, 6, 141574, 2190, 20632, 25491, 32899, 2865, 46590, 49792, 6, 4, 6, 220763, 364, 14236, 38025, 1470, 5, 41764, 710, 88660, 119718, 64310, 836, 2451, 4944, 91163, 448, 6, 5, 23982, 21776, 506, 219514, 6, 4, 364, 14236, 38025, 657, 75230, 22753, 90536, 1211, 387, 2451, 506, 130125, 4, 6, 220763, 6, 170355, 506, 29766, 101296, 4852, 29771, 609, 6, 4, 55918, 3111, 2050, 657, 42733, 16629, 7611, 209, 2451, 104383, 9183, 808, 11193, 66, 694, 600, 7804, 1747, 10713, 2451, 7961, 42, 19, 10713, 4, 364, 31581, 2884, 14856, 109823, 79989, 9183, 30654, 33353, 448, 364, 54260, 1982, 564, 106672, 657, 141908, 6476, 78160, 448, 6, 151461, 5047, 5666, 107050, 850, 23292, 12666, 506, 9181, 27513, 16888, 34671, 152, 6, 182879, 12299, 75936, 506, 31581, 2884, 2451, 63921, 236912, 95138, 19302, 4113, 96302, 710, 22492, 119718, 64310, 74, 179735, 16888, 506, 2181, 364, 24244, 29111, 6072, 12666, 24390, 615, 2525, 2442, 26, 51369, 15289, 564, 155, 2442, 95138, 6, 4, 3947, 69127, 506, 9356, 609, 51369, 15289, 564, 155, 2442, 9616, 423, 2451, 220763, 710, 1751, 79907, 51138, 6, 4, 3373, 134933, 45729, 4, 109298, 850, 1054, 162756, 81026, 657, 20911, 12130, 905, 116604, 86458, 6, 4, 63921, 9616, 3944, 138819, 710, 496, 2451, 13845, 6, 231015, 1751, 231015, 4775, 6, 4, 6, 220763, 18133, 13458, 6, 128750, 63188, 387, 2451, 184231, 24377 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 192390, 5332, 155, 2648, 4112, 18340, 141211, 9616, 4231, 5, 657, 5, 9181, 69106, 387, 2451, 119792, 163916, 4, 808, 5, 15019, 46737, 4, 43449, 7972, 10498, 65742, 163916, 1054, 79989, 121709, 66293, 146594, 850, 233242, 68889, 2050, 87583, 111996, 55918, 25046, 46533, 63921, 6428, 155, 2442, 364, 70129, 4231, 12, 128750, 135118, 13845, 6, 4, 6, 179735, 224554, 609, 2181, 364, 24244, 21527, 50847, 186578, 1054, 219844, 292, 106, 79528, 9453, 9616, 6, 4, 95836, 56401, 657, 74897, 689, 17879, 9616, 35532, 87309, 26067, 23093, 19302, 506, 564, 65285, 74388, 19063, 6, 4, 6, 115768, 238044, 364, 144895, 171100, 2376, 25174, 361, 218606, 26, 6, 4, 6, 75578, 805, 364, 26, 292, 758, 5, 10713, 10713, 28725, 24, 37664, 660, 653, 1096, 19, 2451, 508, 38688, 11, 2808, 5, 3069, 31467, 75290, 28714, 905, 26, 2702, 1470, 75230, 36909, 71804, 8903, 1211, 2205, 119055, 20961, 83957, 6, 4, 6, 76776, 28726, 119718, 16580, 2861, 141847, 1644, 40697, 58573, 29766, 4113, 32054, 129071, 40697, 24464, 3523, 5, 3373, 218241, 39083, 29771, 119718, 496, 7961, 128750, 48904, 8300, 29771, 4852, 40697, 14856, 97634, 20315, 705, 18721, 408, 217, 49085, 133, 96765, 7, 874, 5, 50180, 75230, 1112, 2451, 2808, 54260, 119718, 48904, 506, 29771, 4113, 4, 364, 34533, 29766, 152185, 6, 90848, 212915, 119055, 21106, 16932, 120439, 64260, 6, 4, 116, 6, 23093, 54260, 28726, 1496, 2451, 2648, 218241, 205416, 123736, 13805, 6, 4, 6, 90848, 212915, 42572, 33809, 1211, 9934, 113687, 119055, 53414, 6, 4, 186046, 15533, 714, 2451, 35189, 64890, 50853, 101296, 104238, 6, 4, 7369, 8632, 13845, 33809, 23405, 24464, 364, 54260, 50856, 18167, 6, 48253, 29771, 39340, 543, 2451, 35189, 5332, 119718, 161459, 217284, 6, 4, 6, 90848, 212915, 42572, 33809, 1211, 1470, 54260, 39293, 12483, 15857, 75230, 15, 36909, 6093, 36909, 59929, 101608, 36909, 2884, 114643, 12415, 186046, 15533, 16, 2205, 305, 6, 23093, 54260, 1644, 4, 201, 6460, 220224, 96986, 7265, 209, 226467, 4, 292, 35189, 74127, 2932, 114436, 2205, 361, 28320, 364, 52480, 24621, 1644, 4, 7369, 26394, 54574, 33809, 5666, 5666, 4, 9934, 2882, 33809, 1644, 119055, 53414, 6, 4, 106, 2451, 506, 142429, 13845, 6, 4, 15, 204403, 4113, 24621, 16, 42572, 33809, 1211, 874, 5, 17190, 119718, 209, 2451, 4484, 71577, 15907, 47351, 29434, 54260, 36909, 24244, 2702, 6, 148346, 144295, 6293, 3069, 31467, 220224, 1211, 6, 128750, 75230, 423, 2451, 710, 55990, 24244, 9424, 48350, 23173, 6, 4, 29434, 75322, 2808, 42572, 33809, 1211, 27855, 13805, 22426, 9221, 190, 4, 2451, 39340, 110317, 657, 9221, 6, 4, 7369, 8632, 13845, 17310, 6, 76776, 4667, 27855, 13805, 22426, 9221, 7265, 6, 148346, 15350, 35189, 423, 2451, 37271, 3131, 54260, 1644, 218241, 155, 7508, 6093, 6319, 75230, 36909, 101296, 905, 36909, 33809, 1211, 119055, 114436, 24295, 4, 7369, 26394, 54574, 33809, 5666, 5666, 6, 76776, 4667, 27855, 13805, 22426, 9221, 209, 2451, 4852, 54260, 2882, 23050, 4852, 88917, 711, 55242, 46244, 42493, 34709, 710, 30750, 163139, 2702, 2702, 43178, 95494, 159212, 7972, 30750, 564, 88680, 3069, 31467, 42572, 150839, 710, 96986, 148222, 6235, 46464, 50856, 2190, 2932, 364, 54260, 1644, 12483, 30109, 48904, 15307 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 96986, 42572, 33809, 1211, 6428, 155, 2442, 874, 5, 3523, 64260, 21338, 17645, 1982, 6, 138577, 6, 63188, 105235, 11211, 108968, 78278, 4151, 81444, 4484, 16932, 107776, 6, 4, 116, 3131, 1470, 75230, 36909, 71804, 8903, 714, 2451, 10461, 1751, 119718, 710, 16747, 4852, 33809, 40920, 15, 2702, 33809, 1982, 64260, 4113, 16, 6, 4, 116, 2882, 1470, 75230, 36909, 71804, 8903, 714, 2451, 363, 38, 67882, 49008, 2190, 5666, 23050, 94741, 70598, 25616, 48904, 15307, 54260, 96986, 6, 5, 1112, 2451, 17727, 874, 48904, 59461, 25616, 48904, 15307, 54260, 96986, 15, 36419, 25616, 29060, 23269, 159696, 59461, 40697, 16, 1112, 2451, 1837, 6, 59461, 159696, 20260, 48775, 20260, 506, 54260, 96986, 423, 2451, 62812, 448, 45729, 152, 14081, 148346, 33809, 2050, 292, 21422, 30721, 30654, 609, 12890, 364, 124741, 6, 5, 6, 129703, 2050, 21422, 30721, 179835, 448, 24621, 54260, 16847, 874, 23982, 169876, 6658, 26659, 6, 4, 93943, 23829, 448, 1054, 64210, 448, 6, 4, 18340, 4775, 27137, 169747, 117473, 140841, 11211, 27137, 147788, 9616, 6, 4, 2376, 21422, 140354, 207158, 181305, 2442, 6658, 609, 4775, 905, 36925, 905, 10954, 5666, 4667, 151786, 905, 9365, 6319, 26, 4, 874, 72402, 4667, 89192, 615, 2588, 81860, 81271, 77287, 6, 5, 6, 104038, 42572, 64260, 64567, 48775, 36909, 17645, 895, 6, 6293, 36677, 6, 4, 6, 153396, 22426, 23173, 15533, 615, 2525, 22444, 155, 1982, 4, 136494, 17748, 506, 620, 46654, 33809, 3131, 292, 304, 609, 5666, 4667, 81271, 93943, 23829, 448, 5110, 31467, 609, 169737, 16, 6, 216501, 14856, 94741, 7972, 68558, 77138, 620, 34537, 6293, 117875, 15, 5666, 54260, 30473, 1644, 148346, 6093, 16, 2181, 1470, 77562, 119425, 23829, 122663, 17188, 15, 9719, 58679, 95564, 68561, 16, 1211, 51453, 6, 5, 6, 148346, 2442, 7682, 620, 34537, 6293, 6, 23093, 14303, 5035, 2588, 874, 226007, 139043, 1982, 787, 2525, 609, 1982, 53738, 7508, 26, 123451, 15864, 17268, 209, 2451, 2442, 26, 57689, 874, 50778, 36909, 710, 26659, 423, 2451, 5, 6, 164046, 54678, 609, 874, 50778, 36909, 710, 40633, 190, 292, 148346, 23173, 68558, 8009, 11556, 16747, 48494, 178107, 119425, 387, 2451, 37271, 6, 21106, 128750, 16870, 29434, 54260, 36909, 24244, 1054, 101080, 5927, 114307, 3373, 7511, 104985, 9183, 496, 2451, 219844, 6658, 5666, 155, 4667, 192858, 448, 45729, 6, 4, 483, 74808, 151786, 2376, 25174, 209, 2451, 4852, 36326, 97634, 49008, 15, 2865, 16870, 21106, 101328, 49008, 16, 24464, 6, 148346, 90848, 54561, 12, 7265, 49920, 34709, 2702, 44693, 2648, 6, 4, 84475, 7265, 364, 155, 2442, 6, 8632, 4484, 5950, 3149, 49209, 26, 2702, 163825, 52, 1644, 292, 4838, 209, 292, 117260, 75839, 850, 113201, 2181, 364, 174798, 609, 77247, 850, 714, 6319, 26, 6, 4, 874, 40377, 6293, 6, 23093, 14303, 615, 2588, 1982, 69855, 1982, 6, 23093, 14303, 292, 617, 10713, 5, 19, 5, 660, 5, 24, 219, 2451, 19, 10713, 653, 391, 157, 11, 846, 41120, 5, 22426, 6, 5, 53, 27, 2451, 5, 18, 5, 39, 5, 5, 572, 19, 147253, 5, 87, 5, 54326, 19, 10713, 6, 5, 966, 710, 55990, 24244, 6, 26394, 74004, 45629, 54260, 23269, 1470, 34533, 29766, 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 ]
[ 6, 4, 16175, 48775, 506, 16870, 40697, 6428, 48775, 101296, 292, 2808, 88680, 22444, 87311, 26, 2442, 21776, 150349, 2808, 148346, 1644, 125897, 6, 5, 95766, 190, 7369, 3131, 54260, 3111, 31467, 183216, 6, 5, 36909, 6093, 36909, 192900, 42572, 17537, 10676, 10213, 65606, 2865, 96986, 1285, 4944, 16932, 2190, 5666, 29434, 79100, 29631, 2932, 119718, 15350, 7972, 34322, 27855, 13805, 59919, 6, 5, 128750, 54260, 2808, 40653, 39293, 2882, 56169, 2190, 5666, 10213, 20961, 1982, 54260, 18415, 2882, 123959, 32054, 120467, 15231, 41731, 40697, 1211, 6, 163177, 48340, 68558, 36909, 17537, 191683, 14081, 163139, 117260, 145168, 64310, 15, 87637, 130558, 16, 6, 5, 79524, 119525, 119718, 20961, 3131, 69859, 55049, 32899, 1211, 51963, 13805, 2808, 83182, 33960, 54561, 6, 4, 44917, 17645, 22753, 13845, 22492, 7657, 6, 148346, 2808, 153796, 12, 55918, 2865, 26, 905, 657, 26, 4484, 71, 10001, 841, 8908, 34014, 20257, 20320, 670, 16291, 254, 71, 5, 29014, 76, 16495, 11071, 31, 24, 51366, 5831, 21845, 17, 66, 1900, 20257, 5, 18, 2451, 53313, 53313, 5, 846, 2451, 7101, 19, 5, 27, 6, 5, 1019, 1054, 5, 284, 5, 17481, 5, 5, 284, 5, 31381, 360, 17933, 127, 12236, 23389, 841, 3145, 5, 19, 5, 21898, 7569, 284, 339, 27, 18, 5, 5, 1819, 15276, 670, 5, 841, 724, 71, 5, 841, 153, 155, 217, 238, 190, 1644, 4944, 61722, 44438, 2819, 152440, 10367, 4944, 148346, 2648, 7038, 506, 26, 7508, 26, 57689, 3523, 15529, 231019, 6, 4, 15096, 4944, 61722, 6, 155622, 9934, 4484, 75017, 364, 171665, 1982, 33809, 13720, 6, 101784, 6, 71430, 6, 15533, 31177, 33809, 84977, 11211, 98071, 506, 171665, 3131, 14857, 6, 148346, 506, 9221, 6, 4, 2865, 77928, 13754, 4838, 53805, 13456, 94112, 17197, 364, 148346, 3149, 148346, 13381, 364, 26612, 21631, 6, 4, 98071, 3131, 148346, 4113, 33809, 364, 40633, 874, 80453, 710, 190325, 67767, 51453, 173967, 6, 4, 905, 26612, 1982, 47063, 73256, 87637, 123736, 12890, 1751, 148346, 186565, 49597, 2050, 6, 4, 10125, 3131, 22426, 17645, 137034, 25093, 65577, 2568, 33809, 448, 6, 4, 26612, 62073, 4, 6, 129071, 9221, 17288, 124470, 4484, 4775, 12278, 56417, 6, 4, 905, 29766, 22426, 76866, 110573, 710, 4231, 23173, 18167, 364, 26, 6, 98071, 9719, 86924, 30682, 6, 5, 62560, 7201, 7611, 5666, 39248, 2050, 99403, 14236, 7682, 2451, 201, 292, 29771, 179482, 44917, 2384, 141867, 448, 6, 4, 6, 148346, 45742, 14857, 506, 4484, 15, 18415, 2808, 16932, 16, 28133, 364, 124470, 22680, 10367, 4944, 32955, 1468, 418, 151777, 2050, 6, 148346, 49792, 6, 101146, 6, 4, 1644, 148346, 905, 6, 98071, 2442, 124470, 3149, 110573, 115398, 3523, 7201, 33809, 2050, 6, 4, 710, 79238, 6, 130734, 68697, 6, 4, 148346, 210404, 199893, 506, 6, 75230, 25616, 39222, 33809, 2050, 5, 304, 2932, 148346, 14303, 6, 148346, 49792, 165019, 6, 4, 98071, 111137, 689, 1470, 79671, 905, 6, 148346, 3149, 68697, 6, 4, 710, 144862, 3149, 4484, 20817, 68697, 20632, 4484, 18630, 6, 4, 171665, 710, 6, 148346, 26612, 17748, 2648, 6, 4, 64915, 18273, 4231, 68697, 1468, 363, 26612, 148346, 85310, 15200, 6, 98071, 3131, 124470, 15096, 1644, 33809, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 7758, 44283, 136105, 7508, 33809, 32184, 33809, 6, 4, 135118, 448, 657, 48974, 12666, 6, 98071, 609, 146079, 1644, 33809, 6, 4, 2865, 148346, 164367, 7508, 33809, 2050, 6, 71577, 506, 33809, 1468, 617, 179625, 364, 98071, 1644, 25093, 6, 109636, 18273, 6, 4, 28726, 55823, 22426, 9183, 2205, 6, 124470, 3111, 31467, 7758, 6, 4, 55687, 110573, 49792, 6, 98071, 2932, 148346, 2442, 364, 46067, 6, 4, 171665, 710, 9181, 6, 48350, 50847, 21660, 33809, 7758, 1468, 758, 21660, 10125, 6, 98071, 3131, 22492, 8009, 6, 20635, 6, 4, 148346, 710, 364, 33809, 2808, 564, 100378, 13060, 31467, 905, 151786, 6, 4, 1644, 148346, 25616, 6, 98071, 506, 22426, 31212, 6, 34709, 20635, 6, 4, 905, 55687, 80171, 231019, 1468, 910, 506, 33809, 2808, 209708, 6, 119859, 42625, 6, 4, 9183, 133814, 22518, 448, 874, 18553, 171665, 38574, 30682, 6, 5, 171665, 4944, 91163, 76963, 6, 188201, 53738, 905, 6, 4, 10125, 3131, 148346, 2754, 21776, 3131, 72841, 42021, 2050, 6, 5, 6, 5, 6, 5, 6, 7961, 190, 292, 148222, 29434, 79100, 2882, 40697, 45521, 68959, 239162, 1211, 152, 710, 55990, 24244, 9424, 48350, 20961, 6319, 54260, 168155, 2205, 22444, 28714, 6, 5, 129071, 26612, 75230, 14088, 6, 26394, 170355, 70598, 23173, 149211, 6, 84577, 171433, 147848, 6, 148222, 6235, 159696, 21295, 161459, 49481, 6, 26394, 74004, 32206, 16175, 75230, 2882, 2865, 5, 5332, 123559, 14088, 657, 73381, 56570, 2702, 15, 65848, 98229, 119718, 9221, 6093, 16, 10918, 42180, 90848, 10339, 29771, 148346, 1644, 49792, 27720, 46590, 147848, 17190, 22492, 73095, 22492, 174410, 12483, 2865, 23173, 149211, 6, 148346, 127583, 183911, 59929, 21087, 183911, 59929, 46985, 186145, 148346, 48904, 147848, 6, 148222, 7544, 26632, 17645, 163177, 29171, 13159, 1644, 24295, 23173, 147848, 39340, 8903, 1211, 135289, 24244, 9424, 48350, 159870, 21660, 147848, 6, 148346, 15529, 96418, 107182, 13845, 167673, 21422, 2865, 148346, 6093, 10918, 5666, 22492, 115453, 119718, 147848, 2190, 16747, 874, 23173, 15096, 156822, 292, 81414, 18279, 49008, 23173, 2882, 190946, 2808, 60071, 292, 1470, 54260, 1211, 77014, 22426, 34533, 32899, 1211, 136645, 2442, 46646, 6, 5, 2865, 223762, 292, 15, 2808, 54260, 1211, 44458, 74004, 61397, 16, 6, 5, 10918, 5666, 22492, 292, 1470, 54260, 1211, 46855, 45631, 6, 4, 1470, 54260, 1211, 87680, 2442, 46855, 45631, 6, 5, 12666, 89991, 147848, 6, 4, 78104, 15231, 7511, 24244, 6, 4, 6, 195164, 96743, 71804, 1388, 1982, 127583, 2882, 26, 2702, 22639, 2648, 60980, 2702, 21087, 26, 58032, 221067, 78956, 35189, 6, 5, 21733, 21733, 2808, 119718, 2648, 49792, 6, 4, 3373, 99176, 200651, 34365, 147848, 564, 127583, 2882, 26, 2702, 173102, 46685, 10069, 114436, 2702, 6, 5, 2050, 148346, 147848, 2451, 305, 292, 105780, 141353, 24244, 292, 60980, 2702, 2702, 147848, 173102, 46685, 10069, 114436, 6, 5, 4484, 14081, 23982, 7511, 26612, 292, 9424, 48350, 20961, 26, 5, 6, 238144, 1982, 150271, 137218, 292, 564, 127583, 96418, 6, 238144, 1982, 6, 5, 36419, 22492, 174410, 12483, 6, 4, 191069, 43393, 10954, 448, 3373, 99176, 163177, 6, 4, 173102, 46685, 10069, 114436, 2050, 6, 5, 148222, 3373, 26394, 22492, 107776, 6681, 73784, 7369, 29659, 8580, 2205, 22444, 28714 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 4, 1470, 75230, 49481, 10676, 2205, 3373, 159870, 10705, 16747, 23050, 1982, 12483, 84087, 42733, 7916, 6, 4, 2205, 4151, 9424, 54260, 2882, 292, 805, 58826, 46244, 6681, 12483, 8903, 130745, 43178, 506, 54260, 2882, 32899, 1211, 4112, 25603, 33610, 5594, 6, 5, 64044, 2442, 16870, 13845, 17645, 30750, 9934, 95494, 48974, 171433, 40697, 17190, 168155, 2190, 16747, 17190, 168155, 8580, 711, 6255, 10213, 46685, 4484, 2205, 2808, 54260, 4667, 1751, 75230, 1211, 3120, 4838, 9424, 54260, 2882, 6, 4, 6150, 73095, 34076, 34533, 7746, 1470, 54260, 4667, 17190, 104149, 564, 88680, 1470, 75230, 101608, 20315, 2050, 6, 36723, 29338, 6, 151461, 29338, 65307, 564, 54260, 2808, 169532, 6, 4, 2205, 564, 25491, 26, 2702, 6, 104038, 65307, 3069, 182759, 40920, 2819, 9213, 46244, 119055, 39083, 2882, 42493, 4269, 15533, 95494, 28726, 159696, 2882, 2205, 7265, 12483, 4151, 119055, 29771, 4667, 1470, 75230, 4667, 29060, 149010, 97816, 2205, 169532, 230764, 17190, 104149, 4838, 6, 229340, 4838, 12890, 2808, 4838, 198754, 12483, 6, 4, 3056, 3149, 64260, 3131, 19024, 20260, 12483, 4269, 26632, 9213, 46244, 6655, 1751, 75230, 1211, 6235, 110317, 9934, 95494, 48974, 171433, 40697, 564, 88680, 4, 44064, 148222, 119055, 29771, 4667, 47567, 364, 21106, 96986, 6, 26394, 42023, 169532, 42493, 6319, 54260, 1211, 22753, 4113, 1982, 12483, 6, 4, 3120, 6428, 119273, 6, 159696, 129891, 25207, 4944, 12483, 6255, 36324, 874, 54260, 1211, 6, 159696, 24152, 6, 4, 119055, 46646, 6255, 33960, 1982, 137765, 19532, 75230, 2702, 3056, 1470, 75230, 4667, 42493, 2808, 88680, 18640, 6, 4, 8947, 3056, 42572, 710, 13845, 22639, 15231, 6093, 13159, 59461, 3069, 2808, 17190, 104149, 6, 4, 1470, 54260, 35189, 6150, 13845, 107581, 12890, 104238, 6, 4, 119055, 46646, 36324, 14856, 657, 54260, 35596, 220224, 2808, 49481, 564, 25491, 26, 2702, 6, 104038, 178748, 18225, 55242, 8903, 1211, 37271, 3131, 159696, 20260, 1470, 75230, 2702, 6, 148222, 7213, 2702, 13845, 6, 4, 2190, 5666, 33960, 1982, 6, 238144, 16932, 564, 29766, 29659, 155, 4231, 65482, 564, 25491, 26, 2702, 2451, 361, 292, 104038, 4838, 159696, 4484, 33960, 119718, 29766, 36909, 8580, 6, 4, 2190, 5666, 4838, 3523, 54260, 4113, 6, 195054, 54260, 35596, 6, 5, 874, 54260, 1211, 6, 159696, 24152, 119055, 13845, 107581, 168892, 33960, 1982, 137765, 19532, 75230, 2702, 3056, 6, 128750, 63188, 64890, 125830, 2190, 5666, 49481, 10676, 6, 128750, 63593, 150715, 6, 4, 364, 54260, 3111, 46598, 3056, 40653, 39293, 56169, 24464, 4151, 6, 159696, 24152, 24464, 10676, 10213, 65606, 2865, 96986, 1285, 4944, 16932, 10705, 5666, 29434, 79100, 29631, 2932, 119055, 5, 27855, 13805, 59919, 292, 21422, 2808, 119055, 40697, 1211, 6, 148222, 9934, 95494, 48974, 171433, 40697, 25391, 54260, 75578, 6235, 36909, 5594, 1211, 6255, 42493, 36324, 13845, 4944, 12483, 6, 5, 292, 2205, 200795, 1211, 3056, 6, 148222, 6, 159696, 24152, 159696, 33716, 14856, 47567, 22753, 2808, 657, 54260, 171428, 6, 238144, 1644, 22753, 2808, 3056, 24464, 4838, 10213, 65606, 2865, 96986, 42572, 6093, 36909, 59929, 6093, 6, 5, 10705, 5666, 9424, 238144, 96986, 6, 4, 6, 238144, 1644, 73095, 3056, 42493, 6319, 54260, 1211, 1470, 75230, 2702, 25222, 210674, 7369, 26394, 54574, 17310, 119055, 46646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36419, 3056, 42493, 33960, 29659, 75230, 8903, 1211, 2190, 5666, 42493, 33960, 36909, 1644, 75230, 8903, 1211, 6, 4, 8947, 3056, 1470, 54260, 23269, 364, 34533, 29766, 40697, 36909, 29766, 105235, 1644, 17310, 6, 4, 119055, 13845, 107581, 2181, 6655, 7746, 2205, 88771, 1211, 33960, 226112, 36909, 12483, 2205, 33418, 167305, 2442, 98252, 6, 5, 6255, 119055, 13845, 2205, 58571, 26394, 1211, 4151, 26394, 54574, 12483, 10676, 17190, 168155, 6, 148222, 87637, 82576, 17645, 152, 2205, 6, 17645, 119132, 58826, 46244, 6, 4, 6255, 874, 54260, 1211, 805, 58826, 46244, 1470, 54260, 35189, 4112, 25603, 99403, 70375, 3056, 160751, 29766, 12483, 33960, 119718, 20961, 12483, 6, 4, 3056, 160751, 29766, 12483, 2205, 22444, 28714, 1470, 54260, 59461, 710, 55990, 24244, 9424, 48350, 23173, 119055, 13845, 104238, 7369, 3056, 49481, 10676, 33960, 119718, 20961, 12483, 4151, 6093, 3131, 16932, 6319, 54260, 168155, 2205, 22444, 28714, 6, 4, 2190, 5666, 230764, 1470, 30682, 21923, 230764, 33960, 29659, 226976, 36909, 710, 13845, 7544, 26632, 17645, 163177, 29171, 13159, 6, 4, 119055, 13845, 107581, 39484, 8580, 33960, 119718, 158291, 1470, 54260, 5666, 36909, 5594, 25207, 1211, 21776, 161321, 181615, 4113, 2205, 22444, 28714, 6, 4, 2190, 5666, 39484, 8580, 1470, 30682, 6, 66313, 23173, 8903, 2882, 2205, 4151, 73095, 76776, 205416, 17645, 6, 4, 230764, 10676, 42572, 63188, 2190, 5666, 42572, 6093, 147455, 80885, 1211, 58826, 46244, 3120, 220224, 1211, 17190, 1982, 12483, 6, 4, 20315, 2050, 423, 6, 96986, 67882, 33716, 15, 54260, 2648, 118222, 18415, 16, 6, 4, 2190, 5666, 39484, 8580, 1470, 75230, 2702, 6235, 36909, 5594, 33716, 4852, 54260, 93497, 6, 4, 73095, 364, 54260, 16803, 2181, 3056, 6, 57277, 39340, 33960, 119718, 69596, 1211, 21776, 161321, 181615, 2808, 6, 4, 230764, 4838, 21733, 54260, 59461, 9424, 54260, 2882, 6, 4, 51328, 6, 148222, 76961, 7544, 26632, 17645, 163177, 29171, 46598, 21923, 204982, 75230, 2882, 33960, 119718, 69596, 1211, 6, 4, 29060, 149010, 39484, 8580, 7746, 6, 21106, 54260, 1211, 204982, 54260, 2882, 6, 4, 2190, 5666, 234917, 37729, 6, 148222, 364, 141943, 24464, 26394, 170355, 32206, 657, 17645, 25559, 29771, 1982, 93497, 6, 5, 6, 148222, 364, 34533, 29766, 23829, 6, 123083, 21295, 7746, 19024, 2205, 4151, 13982, 79100, 6, 4, 2205, 119055, 13845, 107581, 6255, 33960, 1982, 137765, 19532, 75230, 2702, 6, 4, 2190, 5666, 564, 29060, 1470, 54260, 4667, 9213, 506, 68959, 158291, 22753, 2808, 657, 54260, 171428, 6, 4, 230764, 32054, 120467, 2882, 217284, 13456, 6, 170355, 48974, 68558, 6, 5, 6255, 39484, 24012, 39293, 506, 12483, 36909, 710, 13845, 6, 163177, 48340, 171433, 40697, 22518, 54260, 75578, 7265, 3131, 12483, 7746, 163139, 2808, 6, 238144, 2882, 220224, 2808, 115222, 129891, 1470, 75230, 2702, 123103, 12483, 220224, 6093, 9934, 95494, 48974, 68558, 6, 4, 4151, 7265, 17288, 104238, 364, 21106, 1982, 6428, 54260, 48253, 6, 4, 4151, 7265, 13982, 54260, 2808, 42572, 77188, 13845, 143628, 3131, 6, 4, 2190, 5666, 6255, 6235, 36909, 5594, 12483, 6150, 874, 54260, 1211, 29434, 79100, 6, 94741, 63020, 8903, 25391, 17645, 1982, 12483, 119055, 6093, 12483, 2205, 32054, 120467, 2882, 217284, 13456, 9934, 95494, 48974, 68558, 6, 4, 119055, 29766, 14088, 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 ]
[ 119055, 46646, 88660, 1211, 6428, 54260, 48253, 6, 4, 119055, 29060, 6235, 119718, 21292, 216333, 6, 159696, 79981, 657, 54260, 171428, 6428, 54260, 153222, 36326, 123736, 215206, 24295, 21106, 12483, 1470, 54260, 35189, 9934, 95494, 48974, 171433, 40697, 45521, 25207, 119718, 142429, 12483, 292, 1470, 54260, 1211, 123736, 215206, 24295, 21106, 3056, 47783, 2451, 382, 292, 30750, 101608, 24464, 4838, 45521, 25207, 119718, 29766, 292, 2190, 5666, 4151, 119055, 46646, 60980, 1211, 143628, 36326, 84349, 48775, 107581, 159696, 2882, 1470, 75230, 4667, 216333, 6, 159696, 79981, 657, 54260, 171428, 1285, 4113, 39293, 6, 159696, 24152, 2205, 143628, 3131, 12483, 6, 4, 6, 238144, 1644, 60071, 13456, 3056, 874, 54260, 1211, 6, 159696, 21295, 186479, 26612, 4667, 1470, 54260, 35189, 9934, 95494, 48974, 68558, 6, 4, 2190, 5666, 6255, 6, 46677, 130745, 75230, 2702, 874, 54260, 1211, 6, 159696, 24152, 133190, 6, 159696, 8903, 1211, 6150, 13845, 107581, 6, 4, 119055, 46646, 42572, 20961, 43649, 20616, 12483, 42493, 4484, 54260, 1211, 87680, 84349, 48775, 4667, 6, 4, 19532, 6093, 6, 159696, 8903, 1211, 36324, 13845, 107581, 119055, 46646, 42572, 20961, 105235, 506, 12483, 101328, 6, 4, 51328, 220224, 2808, 27855, 51723, 7746, 42493, 7265, 220224, 6093, 6, 54260, 2648, 152185, 84349, 48775, 4667, 6, 4, 364, 54260, 13497, 119718, 46646, 16175, 75230, 2932, 220224, 2808, 6428, 54260, 48253, 77187, 51453, 13456, 6150, 220224, 2808, 163139, 1644, 12483, 217284, 13456, 6, 5, 6, 94741, 68550, 67223, 6255, 8947, 19532, 75230, 2702, 230764, 32054, 120467, 2882, 217284, 13456, 9934, 95494, 48974, 17537, 148932, 6093, 47567, 24857, 4484, 226976, 17190, 104149, 6, 5, 51328, 1470, 54260, 7511, 8903, 119055, 6093, 16932, 119055, 13845, 107581, 8947, 6, 104378, 207748, 2882, 207748, 95766, 6, 229340, 6, 4, 42493, 7265, 874, 54260, 1211, 6, 238144, 1644, 12483, 6, 4, 1470, 75230, 35044, 141943, 40697, 808, 6495, 6652, 10681, 6763, 432, 568, 159696, 25207, 1211, 42572, 20961, 16175, 54260, 48253, 73784, 77208, 112389, 12483, 1470, 5, 564, 5, 230764, 32054, 120467, 2882, 9934, 95494, 48974, 68558, 6, 5, 168892, 564, 29060, 1470, 54260, 4667, 657, 54260, 35596, 24857, 6, 159696, 24152, 119055, 29060, 9213, 46244, 6235, 119718, 21292, 42493, 42572, 20961, 13458, 54260, 183216, 2190, 112304, 34533, 1470, 54260, 6093, 9424, 54260, 2882, 6, 5, 35189, 40653, 39293, 2882, 89930, 6, 5, 6093, 3131, 16932, 6, 129071, 418, 32887, 126230, 15231, 22492, 6, 5, 95766, 22444, 28714, 230764, 4151, 64890, 2702, 6, 4, 138980, 51723, 47833, 98664, 119718, 147848, 6, 4, 118222, 15096, 167673, 2808, 75230, 1470, 6, 190281, 191069, 43393, 10954, 448, 6, 5, 115453, 119718, 147848, 43590, 54260, 2050, 6, 4, 72649, 54260, 2050, 6, 4, 657, 54260, 196332, 506, 32206, 711, 119055, 46646, 3056, 705, 73095, 3056, 364, 54260, 13497, 17953, 104855, 705, 6, 62073, 93449, 7746, 6150, 9213, 46244, 6, 4, 43393, 41545, 14540, 6, 4, 6, 238144, 16803, 42493, 6150, 73095, 68313, 364, 54260, 13497, 1470, 54260, 1211, 4838, 68697, 54260, 2882, 166464, 6, 4, 14856, 6, 205416, 42493, 159190, 6235, 42023, 657, 54260, 158548, 6, 4, 6, 68558, 26612, 69529, 41545, 14325, 15, 10918, 2808, 1470, 54260, 119132, 16, 6, 225975, 6, 4, 119055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46646, 564, 34533, 180403, 42572, 20961, 4838, 115556, 705, 5666, 6, 16932, 191069, 31807, 20305, 168892, 7501, 1470, 9356, 159696, 2442, 6, 5, 156696, 15096, 167673, 119718, 23829, 9934, 36326, 3056, 42355, 17190, 35189, 59461, 18583, 18415, 4667, 6, 4, 163139, 2808, 3056, 6428, 54260, 1211, 874, 119273, 119718, 710, 123073, 705, 119055, 46646, 185143, 180403, 7746, 5332, 17525, 6150, 75230, 2808, 6, 68558, 204982, 17537, 705, 292, 6, 113889, 6, 4, 2205, 29257, 2808, 705, 15, 13342, 2050, 87680, 1211, 16, 6, 5, 16932, 191069, 564, 26, 25491, 75230, 6293, 10676, 88771, 6, 225975, 12483, 6, 4, 6235, 8903, 1211, 221067, 43393, 41545, 14540, 4, 7501, 6255, 26612, 31807, 41545, 14325, 24464, 10676, 33960, 2865, 54260, 119132, 3373, 99766, 6, 5, 156696, 15096, 167673, 35596, 36909, 6093, 20033, 119055, 46646, 42572, 20961, 4838, 41545, 14325, 185143, 905, 2205, 6428, 54260, 1211, 364, 104274, 705, 304, 6, 16932, 191069, 564, 26, 1982, 148222, 41545, 14325, 119055, 46646, 6255, 4838, 68697, 54260, 2882, 22753, 2808, 7265, 874, 54260, 1211, 6, 119859, 112690, 1211, 90709, 3056, 2648, 46646, 2819, 6255, 42542, 292, 42572, 20961, 2442, 91595, 12483, 6, 5, 2451, 209, 292, 156696, 15096, 156822, 225975, 20033, 119055, 46646, 3056, 6428, 54260, 1211, 4838, 68697, 54260, 2882, 6, 4, 180403, 18133, 46685, 6, 75290, 1644, 6, 4, 6428, 54260, 1211, 100378, 14325, 705, 304, 6, 16932, 191069, 564, 26, 1982, 168892, 6, 94114, 18415, 42493, 46050, 4113, 8903, 1211, 7746, 6, 4, 42493, 19532, 75230, 2702, 46050, 4944, 12483, 3120, 4151, 506, 75230, 2882, 2819, 2190, 5666, 163139, 16870, 6093, 6, 4, 1470, 75230, 1982, 22753, 2808, 119055, 29060, 7746, 3069, 2808, 7508, 54260, 2702, 12483, 6, 4, 42542, 6255, 10069, 4667, 42572, 20961, 2442, 91595, 8580, 6, 5, 156696, 15096, 156822, 119718, 46646, 705, 119055, 46646, 364, 54260, 16803, 705, 42572, 20961, 2442, 91595, 8580, 205026, 711, 6, 225975, 180403, 18133, 2865, 46685, 2451, 75290, 1644, 6, 4, 119055, 46646, 874, 54260, 16667, 2882, 180403, 7265, 1285, 4113, 39293, 119055, 6093, 16932, 705, 119055, 46646, 163139, 1644, 16803, 180403, 225975, 12483, 705, 304, 6, 16932, 191069, 84250, 168892, 42542, 124724, 130170, 6235, 115518, 10339, 142429, 192494, 158652, 13159, 6, 5, 115453, 119718, 49792, 68313, 6428, 54260, 1211, 41545, 14325, 292, 42572, 20961, 2442, 91595, 8580, 1751, 31212, 705, 304, 6, 16932, 2442, 11139, 26, 1982, 101328, 6, 4, 6255, 17190, 1982, 51328, 7265, 4151, 6, 113889, 54574, 152, 6255, 6235, 506, 6093, 7746, 220273, 238144, 110317, 6, 68558, 7265, 6, 148222, 6, 66313, 75230, 1982, 71512, 43393, 41545, 14540, 2819, 874, 54260, 1211, 85858, 3056, 6, 148222, 113889, 54574, 6, 4, 6255, 7501, 4838, 6, 70129, 24464, 5950, 18415, 1751, 31212, 6, 5, 6150, 4151, 1751, 31212, 19532, 6093, 4151, 29659, 17645, 159696, 1644, 3056, 2205, 1470, 54260, 1211, 17824, 75230, 101608, 3373, 65755, 292, 364, 54260, 1644, 6255, 1470, 30682, 6, 5, 874, 54260, 1211, 23173, 1982, 54260, 2882, 6, 226112, 2932, 8580, 64890, 46244, 42572, 54260, 23269, 115556, 8580, 6, 4, 119055, 13845, 107581, 46711, 64567, 8580, 44917, 46244, 1751, 31212, 36909, 2884, 123736, 13805, 65482, 42572, 13845, 6, 5, 115453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 147848, 113889, 42572, 20961, 119055, 46646, 9934, 36326, 564, 34533, 180403, 364, 54260, 13497, 42493, 2205, 19302, 54260, 2882, 705, 119055, 46646, 36909, 9221, 126934, 180403, 7746, 159190, 7265, 4838, 64890, 112690, 1211, 71107, 705, 304, 6, 16932, 11139, 26, 1982, 1982, 4944, 10069, 6, 148222, 81444, 30473, 8903, 115556, 8580, 47567, 12483, 33960, 104238, 123736, 7201, 81414, 8903, 1211, 220224, 6093, 79907, 4667, 6, 4, 119055, 13845, 6255, 39484, 8580, 874, 54260, 1211, 4838, 68697, 54260, 2882, 6, 5, 364, 54260, 13497, 178748, 8580, 20033, 4838, 68550, 6235, 42023, 2451, 534, 292, 1644, 54260, 158548, 6, 4, 73095, 3056, 364, 54260, 13497, 564, 54260, 2808, 194706, 4838, 17953, 19767, 4, 20033, 220224, 49008, 19532, 75230, 2702, 25222, 185337, 8580, 6235, 8903, 1211, 9424, 48350, 23173, 26, 1211, 6, 4, 6, 128750, 54260, 506, 12483, 7746, 7265, 1470, 30682, 3069, 74004, 2865, 51723, 2205, 4852, 54260, 1211, 6319, 90848, 110317, 2702, 169532, 6, 5, 156696, 15096, 167673, 101328, 711, 4838, 119718, 2648, 14004, 3056, 185040, 19024, 119055, 46646, 3069, 2808, 6, 128750, 54260, 506, 12483, 7746, 2190, 5666, 19532, 75230, 2702, 8903, 506, 12483, 6235, 8903, 1211, 292, 6, 148222, 3523, 54260, 4113, 179948, 20635, 2190, 5666, 40599, 60639, 119055, 46646, 7369, 6, 226112, 98833, 144754, 7746, 6, 5, 4838, 4667, 711, 199145, 123073, 21422, 110970, 12483, 8903, 1982, 93497, 6, 4, 2190, 5666, 10339, 35596, 13159, 24464, 21776, 32206, 57277, 7511, 12483, 6235, 506, 12483, 49481, 220224, 1211, 6, 78683, 25207, 18415, 705, 6, 5, 6255, 42572, 25207, 2932, 1470, 54260, 4667, 51328, 6, 4, 119055, 46646, 4852, 35596, 9213, 46244, 42572, 20961, 115556, 8580, 705, 9213, 46244, 9934, 35596, 44917, 46244, 5332, 17525, 6, 4, 45223, 89930, 6, 4, 29659, 54260, 59461, 6, 4, 9721, 172195, 6, 68558, 115556, 149010, 6235, 36909, 5594, 28726, 711, 115556, 8580, 7265, 199720, 200117, 20616, 6093, 89930, 2190, 5666, 42572, 710, 13845, 7265, 1470, 128722, 12415, 850, 711, 36324, 88721, 9213, 46244, 6655, 1751, 75230, 1211, 42572, 20961, 2451, 8903, 149311, 47833, 32899, 2865, 131445, 26, 1211, 705, 9213, 46244, 6655, 1751, 75230, 1211, 141107, 42572, 20961, 6235, 149311, 6, 4, 163139, 2808, 42572, 710, 13845, 115768, 1644, 9213, 46244, 42572, 147713, 2882, 46050, 4944, 12483, 230764, 6, 148222, 119055, 141943, 6, 4, 230764, 6, 148222, 54745, 104238, 6, 4, 2190, 22492, 75230, 6293, 6, 148222, 6319, 75230, 2865, 65482, 2702, 6, 4, 7265, 1470, 54260, 123073, 114955, 230764, 6, 148222, 364, 141943, 6, 4, 2190, 5666, 36909, 147713, 2882, 1470, 75230, 2702, 22753, 26394, 1211, 182990, 32887, 5666, 2190, 5666, 119055, 23173, 96986, 6, 4, 9213, 46244, 47567, 2882, 6, 113889, 46244, 85465, 115518, 6, 148222, 9934, 15949, 506, 6, 68558, 17806, 165354, 163139, 2808, 4151, 17824, 75230, 101608, 32899, 147921, 14088, 6235, 506, 2882, 711, 2190, 22492, 4852, 9213, 46244, 6655, 44917, 46244, 24464, 6, 238144, 96986, 4151, 55242, 506, 12483, 6, 148222, 6, 78683, 25207, 18415, 2205, 159696, 1644, 104238, 7369, 3056, 33960, 39293, 149311, 2819, 6655, 9213, 46244, 1470, 30682, 7265, 1470, 54260, 1211, 5950, 8903, 2865, 54260, 119132, 2808, 75230, 2702, 62073, 2442, 54260, 2808, 123736, 7201, 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 ]
[ 62073, 93449, 220224, 1211, 40026, 119718, 710, 29060, 16803, 119718, 17645, 15, 13458, 31212, 54641, 16, 2819, 4151, 2882, 54260, 4667, 78104, 13458, 2205, 6, 148222, 16175, 17645, 36909, 4113, 564, 25207, 8903, 1211, 6, 4, 42572, 147713, 2882, 6, 68558, 364, 54260, 1982, 12483, 21422, 16932, 8580, 24464, 148222, 1470, 75230, 2702, 33960, 25391, 54260, 12483, 6, 4, 119055, 46646, 55242, 129891, 9356, 50853, 40653, 33960, 3149, 54595, 77188, 33960, 119718, 69596, 1211, 95766, 16175, 54260, 4667, 37729, 10676, 163139, 35189, 50931, 2819, 2190, 5666, 137765, 6655, 9213, 46244, 7746, 6, 68558, 25222, 207682, 6, 4, 2190, 5666, 1470, 75230, 2702, 4269, 31623, 54196, 17953, 104855, 26, 103023, 6, 4, 2190, 5666, 7213, 2882, 43449, 73136, 51723, 6681, 26394, 4852, 23173, 12483, 6, 4, 119055, 13845, 104238, 3056, 364, 54260, 13497, 2205, 22444, 28714, 6, 4, 2190, 5666, 6235, 506, 2882, 7265, 17824, 75230, 2702, 128750, 54260, 2648, 230764, 32899, 112595, 54260, 14088, 564, 137119, 711, 4838, 506, 54260, 2050, 6, 4, 5, 72649, 54260, 2050, 711, 42572, 158291, 230764, 1285, 34882, 142170, 6, 4, 564, 29060, 4269, 26632, 2882, 6150, 7369, 47567, 1470, 54260, 4667, 42493, 1751, 99176, 36909, 8580, 42572, 20961, 1470, 54260, 6093, 22753, 16747, 6, 4, 119718, 34322, 9213, 46244, 22753, 16747, 176727, 137765, 6, 5, 6, 5, 6, 5, 115453, 119718, 147848, 113889, 69512, 6, 4, 6235, 506, 2882, 9934, 36326, 9356, 50853, 1470, 159696, 4484, 24464, 19024, 49008, 6, 4, 2190, 5666, 1470, 75230, 1982, 2451, 427, 292, 14004, 46244, 163139, 1644, 21295, 39484, 12483, 4838, 116051, 506, 230764, 1470, 54260, 123073, 22753, 16747, 235466, 7746, 21422, 2808, 3523, 75230, 6293, 144754, 51963, 1470, 54260, 123073, 221067, 78956, 35189, 6, 4, 230764, 10676, 564, 25207, 2932, 3120, 10676, 16175, 54260, 4667, 15231, 13458, 6, 4, 2190, 5666, 6, 238144, 13497, 6150, 75230, 2808, 6, 143409, 6, 4, 2190, 5666, 33960, 119273, 1470, 75230, 2702, 6150, 75230, 2808, 42572, 710, 13845, 23822, 6093, 8580, 6, 4, 78278, 4151, 16175, 54260, 4667, 47567, 7746, 19532, 75230, 2702, 64915, 137218, 55823, 1211, 3120, 220224, 23269, 9721, 171428, 35402, 18630, 42572, 17645, 63849, 54260, 2882, 6, 5, 132, 12415, 2808, 191069, 43393, 10954, 448, 6235, 42023, 1470, 159696, 4484, 6, 4, 115453, 119718, 49792, 152036, 3069, 2808, 118222, 15096, 167673, 16, 119718, 23829, 10213, 65606, 33716, 2181, 3056, 33960, 119718, 69596, 1211, 220224, 6093, 4269, 90848, 75578, 9174, 20961, 34882, 16932, 6, 4, 4852, 54260, 2808, 39484, 8580, 51963, 33960, 2865, 115536, 4838, 1751, 238144, 2932, 2190, 5666, 55242, 129891, 42572, 20961, 1751, 119718, 710, 16747, 12483, 33960, 119718, 69596, 1211, 6, 4, 4852, 54260, 2808, 42572, 20961, 105235, 506, 12483, 6150, 220224, 2808, 39484, 8580, 6, 207591, 69127, 176727, 6, 5, 6235, 506, 180403, 2205, 218606, 710, 200651, 17645, 6, 4, 2190, 5666, 6255, 119055, 13845, 6235, 42023, 72649, 6093, 6, 4, 163139, 2808, 180403, 119055, 119273, 9356, 46685, 112452, 4852, 54260, 123073, 42572, 20961, 112268, 36419, 4944, 26394, 1211, 230764, 6, 148222, 3373, 57277, 97634, 710, 12483, 15, 2932, 18640, 120467, 65482, 77187, 25222, 97634, 146873, 42572, 710, 40505, 13159, 16, 47567, 16803, 180403, 183519, 23050, 56052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 5, 156696, 15096, 167673, 119718, 23829, 115222, 129891, 20033, 24857, 33718, 42023, 98664, 119718, 147848, 705, 180403, 6, 238144, 16803, 6, 4, 8947, 3056, 17645, 56169, 17953, 19767, 9181, 59919, 4484, 69803, 12483, 6, 5, 115453, 119718, 147848, 119718, 46646, 202745, 24857, 1470, 75230, 2702, 711, 6, 212484, 6319, 54260, 1211, 69529, 48706, 40096, 75230, 4113, 42493, 128364, 54260, 49008, 26394, 4852, 23173, 26, 2702, 6, 226112, 36909, 17645, 710, 12483, 15, 21087, 159390, 24464, 1470, 54260, 5666, 23269, 56052, 16, 6, 4, 10676, 32054, 120467, 146887, 71107, 159696, 1644, 6255, 3069, 2808, 46711, 54260, 1982, 12483, 3120, 6, 148222, 4269, 59929, 2702, 12483, 6, 4, 24857, 23050, 2865, 149010, 47567, 16803, 22444, 2808, 2808, 75230, 4667, 33718, 42023, 6, 4, 6150, 180403, 119055, 119273, 7369, 2932, 45631, 9356, 46685, 112452, 1470, 54260, 1211, 66616, 36677, 3120, 4838, 137218, 2050, 96302, 16629, 1211, 2819, 3120, 21422, 48350, 23173, 26, 2702, 42572, 1644, 17645, 195054, 6, 159696, 79981, 20033, 19532, 75230, 2702, 7508, 54260, 2702, 12483, 6, 148222, 36909, 16870, 6093, 8580, 6, 4, 119055, 46646, 119055, 92605, 149311, 1751, 75230, 1211, 141107, 40653, 4151, 874, 120467, 2702, 6, 4, 2190, 5666, 3069, 2808, 220224, 1211, 36909, 116793, 12483, 6, 159696, 79981, 20033, 123736, 7201, 6, 105235, 79981, 1470, 54260, 1211, 17824, 76632, 7611, 6, 4, 1470, 75230, 1982, 42493, 119055, 29060, 7369, 3131, 75230, 1211, 9356, 50853, 6150, 75230, 364, 75230, 4667, 6681, 42572, 116793, 12483, 6150, 7265, 10676, 1470, 75230, 2932, 42493, 3069, 2808, 4151, 143409, 12483, 6, 4, 2190, 5666, 194706, 119055, 29060, 7369, 47783, 202446, 8580, 130170, 220224, 1211, 22518, 37016, 6, 5, 2451, 702, 292, 304, 18415, 126230, 15231, 22492, 148222, 207013, 6, 4, 2205, 15864, 24152, 138980, 51723, 47833, 2205, 64751, 42180, 2702, 2702, 17645, 6, 4, 7265, 192575, 125897, 6, 4, 9424, 48350, 20961, 6, 4, 6, 62067, 32829, 24244, 6, 4, 44458, 25222, 96256, 42023, 73784, 657, 75230, 55823, 1211, 6, 4, 212911, 23982, 7511, 2808, 6, 4, 150271, 23829, 6, 4, 212837, 147848, 6, 4, 21422, 89930, 2808, 6, 4, 90284, 96418, 6, 4, 60980, 2702, 2702, 147848, 6, 4, 1470, 75230, 60980, 2702, 46985, 6, 4, 22492, 4667, 220224, 6093, 6, 210726, 75230, 101608, 71107, 10184, 13845, 115556, 8580, 6, 4, 2190, 5666, 113319, 16583, 8903, 7916, 13497, 7746, 4151, 874, 223762, 6, 5, 26394, 74004, 24152, 14081, 23982, 7511, 2808, 711, 46985, 95564, 76526, 40096, 711, 9424, 48350, 23173, 152036, 5332, 131445, 6, 5, 132, 148222, 65146, 125897, 364, 77188, 230764, 3069, 2808, 138716, 109316, 1211, 16, 6, 5, 26394, 74004, 24152, 14081, 23982, 7511, 2808, 711, 4484, 14081, 23982, 7511, 2808, 168892, 7501, 19024, 6, 5, 26394, 4852, 20961, 105235, 76866, 7746, 230764, 6, 62067, 171433, 49792, 6, 159696, 2932, 6, 4, 119055, 12483, 7369, 119055, 29060, 37729, 1644, 75230, 36909, 12483, 6, 4, 6, 62067, 32829, 14088, 711, 62067, 32829, 14088, 168892, 7501, 19024, 6, 5, 119055, 46646, 163139, 1644, 16803, 180403, 20033, 6, 68558, 25933, 8903, 1211, 9424, 48350, 20961, 705, 26394, 4852, 20961, 36909, 23173, 8903, 2702, 42493, 6, 4, 86296, 180403, 119055, 119273, 657, 75230, 36909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12483, 6, 4, 7746, 3069, 2808, 7508, 9221, 12483, 3069, 34882, 14081, 23982, 7511, 12483, 6, 4, 6255, 39484, 6, 66313, 77188, 3120, 5950, 18415, 115556, 8580, 6, 4, 6150, 1470, 54260, 1211, 1470, 15908, 4113, 52671, 42542, 6, 66313, 14081, 36909, 8580, 119055, 6093, 8580, 6, 4, 1470, 75230, 1982, 180403, 119055, 119273, 7746, 3069, 2808, 9213, 46244, 3069, 69596, 25207, 1211, 86296, 180403, 119055, 119273, 657, 75230, 36909, 12483, 2205, 10676, 364, 54260, 186461, 12483, 6, 159696, 2932, 6, 5, 62067, 32829, 14088, 168892, 119055, 13845, 4269, 88945, 20260, 8580, 2819, 6428, 54260, 23269, 119055, 6093, 16932, 55242, 129891, 1470, 54260, 1211, 292, 8903, 39293, 2882, 26394, 808, 5, 11, 11, 7934, 568, 6, 5, 2451, 616, 292, 26394, 4852, 20961, 1644, 29771, 62808, 4269, 54260, 1211, 6, 238144, 16932, 2190, 5666, 42493, 37729, 1157, 104149, 6, 148222, 9424, 123073, 87311, 7511, 13159, 6, 5, 188, 53199, 66, 4, 132, 148222, 65146, 7682, 2808, 364, 54260, 47332, 47833, 138716, 109316, 1211, 16, 6, 5, 2865, 223762, 26394, 4852, 23173, 711, 26394, 4852, 20961, 159696, 2442, 3056, 24857, 140108, 8580, 705, 46985, 95564, 76526, 40096, 6, 4, 1751, 26632, 711, 1751, 238144, 98833, 6, 4, 67826, 1644, 44478, 6, 4, 67826, 1644, 44478, 711, 26394, 74004, 25207, 17525, 49920, 6255, 6, 4, 9424, 119718, 13456, 8580, 52059, 24464, 6, 148222, 85658, 9934, 80146, 6, 4, 1470, 54260, 1211, 24621, 110970, 149010, 67826, 2865, 24621, 4, 119055, 6093, 22444, 159212, 24857, 205026, 705, 20632, 2808, 6, 4, 7508, 6093, 6, 4, 6255, 49920, 711, 2865, 1982, 71430, 15907, 7746, 42572, 20961, 217284, 24244, 6, 87311, 29025, 12483, 6, 5, 26394, 4852, 20961, 159696, 2442, 3056, 7369, 705, 1982, 127583, 96418, 35189, 874, 223762, 152036, 6, 4, 6150, 180403, 47567, 16803, 1285, 4667, 11211, 96986, 42572, 20961, 217284, 24244, 87311, 29025, 12483, 6, 5, 26394, 4852, 20961, 212484, 7369, 3069, 6235, 42023, 3069, 20033, 2819, 6255, 119055, 13845, 1470, 30682, 6, 68558, 17806, 165354, 2205, 88721, 46985, 2702, 2702, 147848, 710, 17310, 6093, 6, 133111, 6, 4, 6235, 506, 51328, 19532, 75230, 2702, 42572, 710, 119132, 71107, 72649, 6093, 3069, 2808, 6, 4, 2190, 5666, 105235, 1644, 7746, 42572, 20961, 9424, 48350, 20961, 26, 1211, 6, 5, 26394, 4852, 20961, 119718, 46646, 185143, 180403, 33960, 74004, 98833, 705, 2451, 423, 292, 2865, 1982, 71430, 15907, 7746, 6681, 217284, 24244, 118222, 26394, 1211, 6, 5, 26394, 4852, 20961, 6093, 22518, 87442, 10676, 71107, 2819, 657, 29771, 2865, 62808, 1470, 30682, 6, 212484, 8580, 21422, 2808, 22444, 506, 4, 107776, 711, 132, 14081, 28726, 6235, 42023, 1470, 159696, 4484, 133880, 90284, 96418, 2190, 2932, 60980, 2702, 2702, 147848, 16, 6, 5, 46985, 2702, 2702, 147848, 10705, 5666, 180403, 163139, 1644, 16803, 42493, 17806, 165354, 1470, 75230, 36909, 12483, 657, 75230, 36909, 12483, 705, 112593, 96418, 168892, 163139, 76866, 42493, 6, 5, 46985, 2702, 2702, 147848, 168892, 564, 29060, 1285, 4667, 6, 4, 6235, 506, 19532, 75230, 2702, 6, 5, 112593, 96418, 168892, 39484, 42493, 657, 17645, 1982, 6319, 54260, 1211, 138716, 28726, 4944, 32792, 6, 4, 6255, 7501, 42493, 6150, 75230, 2808, 128750, 54260, 32792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119055, 2808, 6, 84577, 32829, 24244, 2819, 51328, 180403, 6235, 506, 6, 4, 16742, 49027, 29434, 6, 13497, 40653, 31249, 64567, 8580, 6428, 54260, 1211, 163139, 1644, 12483, 163139, 2808, 6150, 75230, 2808, 180403, 163139, 1644, 16803, 6150, 75230, 2808, 33718, 2808, 711, 46985, 2702, 2702, 147848, 506, 6093, 126934, 90284, 96418, 6, 4, 5332, 131445, 24464, 1470, 54260, 1211, 19302, 54260, 23269, 9424, 54260, 2882, 10213, 46685, 4484, 6255, 6, 4, 54595, 180403, 564, 34533, 141107, 42572, 20961, 6, 94114, 96986, 33960, 119718, 69596, 1211, 152, 2205, 6428, 54260, 23269, 1470, 75230, 8903, 1211, 55242, 506, 168892, 137765, 42493, 6, 4, 24857, 207748, 93975, 6, 128750, 54260, 47526, 710, 106504, 54260, 2882, 6, 4, 2190, 16747, 143064, 83957, 159212, 6, 4, 7265, 159696, 1644, 211169, 6255, 7501, 33960, 119718, 2808, 75230, 13497, 24464, 124724, 3069, 2808, 55242, 506, 8580, 6, 5, 8947, 3056, 119055, 10705, 83182, 32792, 10705, 5666, 6, 201601, 32792, 6428, 54260, 1211, 27702, 8903, 506, 8580, 7746, 7265, 20033, 6, 4, 6428, 54260, 1211, 57906, 17645, 1982, 73215, 1211, 6, 128750, 54260, 16747, 6, 5, 112593, 96418, 5666, 54260, 1211, 90284, 35189, 6, 4, 180403, 185143, 4838, 186421, 6, 4, 119055, 12483, 874, 54260, 1211, 6, 98055, 3056, 90284, 65442, 6, 4, 10705, 5666, 230764, 874, 54260, 1211, 88721, 3056, 4838, 6, 186145, 119718, 29771, 2932, 2808, 6, 4, 6235, 506, 6093, 7746, 24857, 51328, 6, 68558, 7265, 62808, 6, 5, 24464, 4838, 19302, 54260, 59461, 9424, 54260, 2882, 6, 68558, 657, 54260, 2648, 6255, 220224, 6093, 6, 4, 24857, 55202, 22753, 2882, 2205, 62808, 6150, 75230, 2808, 163139, 2808, 4838, 115222, 212413, 6, 4, 73095, 6, 88660, 40920, 7746, 2205, 10676, 1470, 137218, 2050, 657, 54260, 20315, 1211, 7265, 2451, 611, 292, 36909, 710, 13845, 4269, 15435, 167622, 8580, 6, 4, 2190, 5666, 24857, 119055, 20961, 159212, 1470, 75230, 36909, 8580, 88721, 1470, 75230, 4667, 4838, 1751, 28320, 2819, 44917, 506, 70598, 54260, 23269, 6, 128750, 54260, 16747, 147062, 24857, 42493, 15864, 211169, 60118, 77525, 18640, 6, 4, 2190, 5666, 205026, 42493, 6, 81951, 2648, 4852, 54260, 1211, 6150, 874, 54260, 1211, 6, 128750, 54260, 16747, 83957, 159212, 3069, 2808, 220224, 2808, 3056, 21374, 506, 44478, 33960, 119718, 69596, 1211, 6, 5, 3523, 54260, 1211, 711, 4151, 10705, 2865, 97594, 144581, 104238, 90284, 96418, 7508, 48904, 8903, 21295, 7746, 7265, 7746, 5950, 54260, 1211, 6, 4, 2190, 5666, 40653, 20315, 2050, 42572, 20961, 205814, 7369, 9424, 54260, 96986, 6, 238144, 2702, 6, 4, 19532, 75230, 2702, 6, 238144, 104149, 5332, 36909, 35596, 32792, 6, 4, 220224, 1211, 1644, 17645, 56703, 2808, 159212, 3069, 2808, 221895, 6, 5, 46985, 2702, 2702, 147848, 238144, 4852, 2882, 1470, 75230, 2702, 6150, 6255, 39484, 4838, 186421, 33960, 192061, 6, 4, 90284, 96418, 6, 4, 51328, 6428, 54260, 23269, 181692, 850, 2190, 5666, 161048, 20635, 210404, 42572, 20961, 43649, 54260, 2808, 6255, 49481, 42493, 6, 4, 2190, 5666, 1285, 168155, 186421, 29659, 77188, 20033, 3069, 2808, 21776, 12415, 1211, 7265, 124724, 6, 4, 19024, 68550, 65146, 6255, 42572, 710, 13845, 62400, 850, 10705, 5666, 16175, 54260, 123073, 4269, 15435, 167622, 8580, 2205 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 68889, 10918, 1211, 10213, 506, 158291, 8580, 6, 5, 51328, 6, 225975, 20033, 6, 4, 112593, 96418, 6, 4, 55242, 506, 16803, 7746, 55242, 22849, 16803, 705, 112593, 96418, 5666, 54260, 1211, 6, 4, 60980, 2702, 2702, 147848, 6, 4, 6319, 54260, 1211, 1470, 75230, 2932, 42542, 7746, 55242, 22849, 16803, 42493, 55242, 506, 8580, 6, 4, 51328, 148222, 163139, 35189, 3131, 54260, 1211, 24464, 7746, 6, 5, 46985, 2702, 2702, 49792, 101328, 88771, 6, 4, 51328, 73095, 30109, 54260, 185226, 205026, 220224, 6093, 6, 4, 874, 54260, 1211, 16175, 54260, 6093, 6093, 90284, 96418, 6, 4, 119718, 46646, 180403, 185143, 42493, 36324, 2808, 6, 123083, 151227, 2205, 119055, 13845, 211169, 180403, 47567, 16803, 115222, 129891, 39293, 506, 8580, 6428, 54260, 1211, 119055, 77188, 6, 4, 2190, 5666, 6428, 54260, 1211, 42572, 159870, 710, 172398, 2882, 6, 4, 24857, 163825, 24464, 6428, 54260, 1211, 3523, 83586, 4, 119718, 46646, 22753, 2808, 3056, 24464, 124724, 42572, 20961, 6, 105235, 21295, 6, 5, 6255, 39484, 6, 66313, 77188, 24464, 42572, 710, 13845, 96302, 16629, 1211, 119055, 46646, 151614, 115518, 220224, 6093, 657, 17645, 1982, 6, 4, 2190, 5666, 5332, 46244, 12483, 15, 3149, 26632, 3131, 42493, 6150, 75230, 2808, 119718, 23829, 9424, 48350, 23173, 26, 1211, 16, 6, 148222, 7369, 26394, 54574, 109226, 6, 159696, 129891, 90284, 96418, 26, 1211, 2819, 5950, 28726, 7265, 3131, 12483, 4852, 54260, 2808, 7746, 130170, 10676, 1751, 159696, 12415, 1211, 6, 137218, 155045, 6, 4, 2190, 5666, 163139, 1644, 12483, 1470, 54260, 16667, 152, 6150, 4151, 506, 75230, 4944, 62073, 21660, 16932, 90284, 96418, 47567, 220224, 2808, 6, 148222, 1470, 75230, 8903, 1211, 230764, 5332, 36909, 76632, 1211, 6, 5, 112593, 202936, 13342, 2808, 119055, 46646, 42572, 20961, 101251, 97594, 165354, 42572, 9221, 16803, 180403, 24857, 205026, 60980, 2702, 2702, 49792, 6, 4, 6255, 4852, 14081, 7746, 6, 117404, 12483, 6, 4, 3069, 2808, 8248, 4944, 12483, 2205, 7746, 6150, 75230, 23269, 48277, 850, 119055, 13845, 107581, 6255, 506, 34557, 141107, 42493, 705, 2451, 729, 292, 46985, 2702, 2702, 147848, 2808, 75230, 1982, 6150, 75230, 2808, 874, 54260, 1211, 16175, 54260, 6093, 6093, 90284, 96418, 6, 4, 49920, 3069, 2808, 119055, 46646, 6255, 119055, 13845, 79761, 220771, 8580, 152, 6150, 75230, 2808, 163139, 2808, 180403, 6, 238144, 16803, 6150, 7746, 55242, 22849, 16803, 42542, 18225, 42493, 39293, 506, 8580, 3373, 54260, 20315, 1211, 2205, 4151, 163139, 16870, 6093, 3131, 54260, 1211, 6, 4, 564, 29060, 6255, 1285, 4667, 220224, 6093, 7369, 1644, 75230, 1982, 62808, 6, 4, 6255, 47567, 220224, 1211, 6428, 54260, 1211, 6, 123083, 195054, 6, 4, 2190, 5666, 7265, 17824, 75230, 2702, 64769, 119718, 609, 119055, 13845, 6255, 20961, 75230, 2702, 6, 238144, 104149, 42572, 20961, 124724, 6150, 13845, 40377, 119055, 46646, 180403, 5950, 54260, 1211, 6, 238144, 16803, 42493, 6, 159696, 129891, 4852, 18167, 6, 4, 44917, 46244, 97816, 2050, 7746, 42493, 7265, 20033, 6, 4, 874, 54260, 1211, 16175, 54260, 6093, 6093, 90284, 202936, 6, 4, 2190, 5666, 25207, 4944, 12483, 205026, 42493, 42572, 20961, 6319, 54260, 1211, 33414, 4852, 4484, 28714, 104238, 6, 4, 2190, 5666, 874, 54260, 1211, 42493, 6, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6150, 2181, 3056, 1982, 54260, 2808, 20033, 42493, 16175, 54260, 6093, 178766, 143064, 95494, 159212, 6, 4, 2190, 5666, 6255, 7501, 47783, 17824, 54260, 2882, 6, 4, 144754, 4838, 29288, 6093, 102812, 506, 42572, 20961, 6, 54260, 20315, 1211, 6150, 75230, 2808, 1470, 75230, 2702, 73256, 12483, 6, 5, 1470, 75230, 1982, 6255, 115518, 124724, 240989, 42572, 20961, 4838, 33414, 5666, 6293, 6, 4, 119055, 46646, 6255, 54745, 1644, 22639, 195164, 146887, 115556, 8580, 144482, 2808, 6255, 47567, 7746, 115222, 129891, 49481, 10676, 1470, 75230, 2702, 6, 71804, 4944, 12483, 230764, 220224, 2808, 6, 5, 77187, 168892, 7501, 34076, 26632, 1470, 54260, 1211, 132025, 105235, 44478, 119055, 46646, 6255, 42572, 20961, 6, 44182, 7746, 42572, 69596, 16870, 6093, 3496, 145702, 4113, 6, 5, 292, 1470, 75230, 1982, 6150, 75230, 2808, 6, 4, 21776, 4944, 12483, 205026, 42572, 20961, 1470, 54260, 1211, 620, 91595, 8580, 96302, 16629, 1211, 90284, 202936, 6, 5, 112593, 96418, 119718, 46646, 49920, 6255, 5332, 131445, 6681, 1470, 75230, 2702, 33960, 25391, 54260, 12483, 705, 73095, 3056, 4838, 3373, 164046, 54595, 24857, 42572, 14081, 4484, 6655, 1751, 75230, 1211, 1470, 75230, 2702, 33960, 144581, 1982, 12483, 9424, 48350, 20961, 12483, 42572, 20961, 4838, 6319, 54260, 168155, 705, 46985, 2702, 2702, 147848, 10705, 5666, 180403, 185143, 874, 151461, 711, 4838, 88721, 180403, 163139, 1644, 16803, 42493, 6150, 8947, 74004, 54574, 220224, 1211, 6150, 75230, 2808, 705, 112593, 96418, 5666, 54260, 1211, 6, 4, 6255, 119055, 13845, 42493, 2819, 44917, 46244, 4151, 6, 238144, 1644, 7501, 6255, 3069, 2808, 9424, 48350, 20961, 12483, 13342, 2808, 4269, 79671, 16747, 12483, 6, 5, 119055, 46646, 122133, 16803, 180403, 205026, 19024, 6150, 75230, 6, 143409, 705, 119055, 46646, 163139, 1644, 16803, 29257, 2808, 5, 20033, 4151, 26394, 506, 79981, 705, 1470, 75230, 1982, 8947, 3056, 5332, 131445, 4838, 61842, 42572, 20961, 10676, 36909, 14081, 4484, 292, 1157, 109995, 230764, 6, 105235, 42023, 6235, 8903, 1211, 20033, 4151, 158504, 2190, 5666, 4151, 2882, 75230, 2882, 292, 6255, 119055, 13845, 874, 54260, 23269, 1470, 75230, 8903, 1211, 3120, 220224, 2808, 42493, 123736, 7201, 33718, 42023, 6, 4, 6, 170098, 20033, 2932, 26632, 2882, 3069, 2808, 7213, 165354, 6150, 75230, 2808, 42572, 710, 13845, 181524, 6, 4, 230764, 163139, 2808, 42572, 710, 13845, 24857, 364, 54260, 2702, 1982, 116, 2451, 543, 292, 7972, 1982, 95494, 159212, 2205, 874, 54260, 1211, 68889, 10918, 1211, 3069, 2808, 158504, 3056, 4151, 22518, 37016, 24464, 10676, 2882, 75230, 2882, 4269, 81824, 711, 46985, 2702, 2702, 147848, 26612, 711, 6, 148222, 6, 98683, 6428, 54260, 23269, 3056, 20033, 240989, 6, 4, 1470, 99915, 2882, 6150, 75230, 2808, 163139, 2808, 168892, 60980, 1211, 1285, 4667, 1470, 75230, 152656, 88721, 6, 4, 90284, 96418, 6, 101328, 6, 4, 6255, 39484, 564, 140746, 21776, 12415, 1211, 7265, 79761, 6, 159696, 2932, 8580, 158504, 6, 5, 6255, 6, 238144, 2702, 42493, 7265, 119055, 46646, 42572, 20961, 1470, 54260, 5666, 181615, 180403, 98055, 16803, 230764, 10676, 17190, 115518, 6, 5, 6, 5, 6, 5, 20033, 55242, 129891, 33960, 130745, 8580, 33960, 119718, 69596, 1211, 6, 128750, 54260, 4113, 6, 4, 2808, 33809, 75230, 2808, 163139, 2808, 9424 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48350, 20961, 6, 5, 20033, 39484, 31467, 8580, 7746, 7369, 8903, 506, 33716, 7265, 4151, 1470, 54260, 2932, 114436, 3131, 7201, 54260, 4852, 6, 4, 20033, 115222, 129891, 40653, 46711, 64567, 8580, 115222, 21295, 6150, 75230, 2808, 163139, 2808, 7369, 6, 5, 6255, 2932, 88945, 20260, 6, 4, 1470, 54260, 1211, 15864, 54574, 2205, 220224, 6093, 4838, 1751, 212027, 2865, 196332, 1211, 2190, 5666, 4838, 6, 189623, 24295, 196332, 1211, 169532, 159696, 1211, 4151, 16175, 54260, 4667, 78104, 13458, 6655, 6150, 3131, 4269, 15533, 64260, 12483, 3120, 6, 148222, 180141, 4113, 9174, 119718, 21106, 448, 6, 4, 192061, 20033, 9424, 48350, 20961, 33960, 74004, 98833, 152, 137, 46985, 2702, 2702, 147848, 180403, 119055, 119273, 7746, 1470, 13342, 16747, 1470, 54260, 1211, 105235, 79981, 6, 4, 2190, 5666, 7746, 19532, 54260, 1211, 1157, 104149, 7265, 20033, 3069, 74004, 2865, 51723, 2205, 119055, 46646, 6093, 2190, 57619, 47709, 1751, 119718, 710, 51723, 3069, 2808, 6, 17645, 119132, 238354, 6, 24846, 1751, 159696, 2442, 6255, 124724, 6, 4, 6150, 42493, 1470, 75230, 2702, 25222, 207682, 6, 4, 6150, 75230, 2808, 163139, 2808, 6255, 7501, 33960, 185337, 8580, 6, 4, 7501, 6255, 1470, 159696, 4484, 6, 62073, 119718, 710, 51723, 6, 4, 2190, 5927, 34557, 1470, 30682, 1470, 75230, 4667, 7265, 7746, 6235, 15529, 36909, 12483, 2819, 3056, 7369, 20033, 1470, 75230, 4667, 49481, 6, 62073, 119718, 710, 51723, 6, 5, 4151, 16175, 54260, 4667, 78104, 13458, 6655, 4269, 9221, 75230, 29659, 6, 4, 20033, 39484, 8580, 7746, 7265, 1470, 30682, 2932, 2808, 69106, 6, 71804, 23405, 33960, 1982, 29766, 29060, 6, 4, 7265, 27702, 117404, 17310, 39484, 8580, 20033, 7746, 37729, 6, 148222, 3149, 119718, 21106, 448, 37729, 33960, 31249, 64567, 8580, 6, 62067, 39340, 2932, 8580, 10676, 1470, 90848, 21066, 75230, 6293, 3120, 10676, 119055, 46646, 6093, 2819, 22492, 46244, 230764, 10676, 78104, 36909, 161829, 6, 4, 6655, 9424, 48350, 20961, 147582, 34709, 14088, 4838, 33960, 25391, 54260, 204982, 17537, 152, 37271, 25222, 119718, 14081, 2648, 711, 60980, 2702, 2702, 49792, 6, 4, 45223, 6293, 6, 4, 21776, 18415, 205026, 6, 20971, 3056, 6150, 75230, 2808, 163139, 2808, 4151, 23847, 75230, 101608, 895, 16932, 220224, 20315, 178766, 6093, 5332, 142170, 6655, 19532, 75230, 2702, 33960, 99176, 2932, 8580, 1470, 75230, 1211, 6293, 148222, 46654, 54260, 26394, 2702, 10676, 5950, 96986, 6, 48904, 32955, 104149, 4, 3120, 6, 226112, 137218, 6, 4, 159190, 4269, 17171, 51723, 144754, 1470, 54260, 1211, 42572, 71804, 2050, 6, 4, 6150, 75230, 2808, 39484, 6255, 19532, 75230, 2702, 33960, 99176, 2932, 8580, 9424, 48350, 20961, 26, 1211, 3120, 6, 148222, 3149, 119718, 21106, 21292, 3120, 10676, 16175, 54260, 4667, 78104, 13458, 6, 4, 2190, 5666, 39484, 1470, 30682, 874, 89991, 6235, 159696, 1211, 3120, 10676, 2882, 75230, 2882, 6, 4, 2190, 5666, 9213, 13342, 16747, 3056, 7369, 64890, 46244, 33960, 119718, 69596, 1211, 4838, 4269, 26632, 2882, 2819, 2190, 5666, 6255, 46985, 2702, 2702, 49792, 7501, 24857, 1470, 54260, 2932, 65482, 24012, 35189, 93975, 27702, 36326, 36909, 161829, 6150, 75230, 2808, 163139, 2808, 6, 128750, 63188, 6, 4, 168892, 564, 54260, 2932, 7746, 2205, 9424, 20616, 13497, 12483, 42572, 20961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9424, 48350, 20961, 26, 1211, 6, 4, 2190, 5666, 7369, 204982, 20033, 6319, 75230, 2050, 26612, 1751, 218241, 13845, 7265, 10676, 218606, 13804, 59450, 61722, 6, 5, 6, 5, 6, 5, 2205, 84349, 32829, 12483, 6655, 7369, 2451, 953, 292, 154739, 710, 96986, 3120, 4151, 364, 31623, 161459, 30109, 54260, 20260, 2819, 2190, 5666, 6150, 7369, 42572, 147713, 2882, 9356, 17494, 2865, 51723, 2648, 46646, 13804, 42410, 54260, 2882, 6, 4, 39484, 6255, 5950, 54260, 1211, 33960, 39293, 506, 8580, 6, 4, 163139, 2808, 6150, 75230, 2808, 7369, 6655, 7511, 10918, 16932, 2882, 6, 4, 292, 123736, 4151, 81444, 4852, 161459, 4269, 26632, 2882, 6, 4, 7369, 6655, 6235, 10918, 16932, 2882, 6, 4, 2190, 16747, 46646, 88721, 3056, 141107, 564, 54260, 2808, 1470, 30682, 42572, 20961, 210346, 1211, 33960, 119718, 69596, 1211, 3120, 4151, 22518, 37016, 2819, 29771, 6, 148222, 1470, 75230, 8903, 1211, 6, 4, 119055, 34322, 137765, 3120, 1470, 54260, 1211, 6, 98055, 7265, 220224, 2808, 6, 4, 119055, 6093, 8580, 115556, 8580, 68558, 33960, 220440, 2882, 7265, 30795, 141211, 6, 4, 2190, 5666, 7265, 1470, 56703, 54260, 2808, 6, 4, 39484, 8580, 141107, 54745, 16667, 122165, 2882, 47833, 33960, 119718, 29771, 46244, 8580, 220224, 6093, 34072, 95564, 2819, 7369, 6655, 33960, 30473, 36909, 56169, 2190, 5666, 6655, 2932, 7682, 25207, 4944, 56169, 6, 4, 6, 26632, 84475, 9424, 23174, 6, 4, 5, 119055, 46646, 137765, 9174, 26612, 156325, 6, 148222, 115556, 8580, 3120, 15529, 28714, 6, 4, 3120, 1470, 30682, 6, 148222, 119055, 6093, 16932, 6150, 75230, 2808, 163139, 2808, 364, 54260, 36419, 657, 218241, 16629, 1211, 6, 4, 18225, 6681, 25391, 54260, 47332, 220224, 2808, 6, 4, 18225, 6681, 9424, 54260, 4944, 35596, 220224, 2808, 6, 4, 2190, 5666, 18225, 9356, 46685, 20911, 220224, 2808, 6, 5, 292, 192061, 7369, 54745, 16667, 122165, 2882, 33960, 30750, 1982, 29060, 152, 292, 137, 15231, 15231, 142170, 33960, 1982, 20033, 4838, 81414, 20260, 6, 20971, 2808, 99915, 2882, 5332, 131445, 163139, 2808, 4838, 13804, 6293, 874, 54260, 2648, 109316, 6, 5, 4269, 26632, 2882, 711, 123736, 4151, 19024, 4852, 161459, 3131, 71804, 36909, 6093, 115556, 6655, 1470, 75230, 4667, 9356, 17494, 2865, 51723, 172590, 180141, 8580, 90709, 6, 4, 2190, 5666, 7369, 2808, 54260, 59461, 33960, 159696, 21295, 176727, 7265, 4151, 59450, 26659, 230764, 4151, 6, 159696, 21295, 711, 132, 2808, 75230, 2702, 33960, 25391, 54260, 12483, 52059, 850, 3120, 46711, 64071, 2702, 16, 6, 5, 112593, 96418, 168892, 49920, 163139, 35189, 1470, 54260, 1211, 5950, 8903, 2865, 54260, 119132, 1470, 75230, 2702, 33960, 25391, 54260, 2808, 711, 4838, 88721, 4852, 54260, 2808, 55242, 129891, 232436, 364, 26, 9424, 48350, 20961, 6, 4, 18225, 7213, 2882, 1751, 75230, 1211, 140108, 230764, 1470, 30682, 2932, 20961, 44917, 54260, 4113, 78104, 2882, 15096, 12483, 6, 5, 46985, 2702, 21087, 905, 101608, 6655, 40653, 6, 62073, 27720, 13497, 6, 148222, 64769, 8903, 6, 159696, 21295, 6150, 75230, 163139, 2808, 4838, 6, 162642, 6, 5, 10705, 5666, 20033, 19302, 54260, 23269, 115556, 4113, 32792, 6, 4, 6235, 506, 12483, 1470, 30682, 49481, 230764, 220224, 23269, 81414, 2882, 6, 4, 10705, 5666, 20033, 8248, 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 ]
[ 12483, 7746, 7369, 2932, 45631, 6319, 79422, 6, 5, 44917, 46244, 6255, 220771, 124724, 6150, 115556, 8580, 39340, 129891, 203175, 6235, 159696, 21295, 93975, 1211, 230764, 10676, 168677, 4, 6, 4, 2190, 5666, 220224, 6093, 123736, 159212, 657, 17645, 75578, 112593, 96418, 6, 4, 55242, 129891, 178766, 4113, 1751, 16932, 8580, 42493, 131397, 158548, 6, 4, 710, 44917, 46244, 20033, 5950, 54260, 1211, 7265, 10705, 54561, 6093, 2190, 112304, 34533, 18640, 130170, 18415, 110317, 4484, 54260, 2882, 6, 5, 6, 64260, 3056, 5, 90284, 202936, 2190, 5666, 9424, 48350, 20961, 152, 26394, 4852, 20961, 6, 5, 6, 5, 6, 5, 119055, 46646, 3056, 6150, 109316, 40377, 19024, 2205, 10676, 9424, 48350, 20961, 26, 1211, 705, 42572, 20961, 119055, 46646, 7511, 2882, 7746, 19532, 75230, 2702, 180141, 6093, 123736, 4151, 44917, 51723, 1470, 54260, 35189, 90284, 202936, 44917, 51723, 705, 2451, 387, 292, 25391, 54260, 1982, 220224, 2808, 1470, 75230, 2702, 2205, 1470, 54260, 1211, 6, 123988, 292, 119055, 29060, 90284, 96418, 44917, 51723, 220224, 1211, 1470, 75230, 4667, 54595, 75230, 2808, 1751, 54260, 1211, 2819, 7508, 6093, 1470, 30682, 19532, 75230, 2702, 292, 19302, 23174, 2882, 7369, 42493, 7369, 2932, 9221, 1470, 75230, 2702, 6, 4, 159696, 2932, 40653, 292, 6, 159696, 2932, 8580, 220224, 2808, 564, 54260, 20315, 34076, 54260, 4667, 2819, 40026, 119718, 7265, 220224, 34557, 26612, 3131, 159696, 12415, 1211, 292, 119055, 29060, 90284, 202936, 19532, 75230, 2702, 22444, 36909, 12483, 36324, 2808, 1751, 28320, 1470, 99915, 2882, 6, 4, 6150, 75230, 2808, 119718, 23829, 9424, 48350, 20961, 6, 5, 137765, 42572, 25207, 2932, 6255, 564, 54260, 2808, 4269, 26632, 2882, 5950, 54260, 1211, 152, 7265, 119055, 46646, 6681, 2808, 54260, 1211, 84349, 54260, 4852, 6655, 7746, 135289, 24244, 6, 66313, 29766, 710, 159696, 2882, 6, 4, 119055, 46646, 7369, 6655, 7746, 6150, 75230, 64567, 710, 23847, 75230, 16803, 40653, 194706, 6, 4, 123736, 609, 42572, 20961, 119718, 29771, 154739, 16932, 110167, 711, 180403, 564, 34533, 6, 23173, 68561, 25222, 36909, 69803, 1211, 2190, 5666, 30654, 75230, 3131, 6, 4, 22444, 28714, 6, 4, 180403, 185143, 47833, 33960, 119718, 43590, 12415, 1211, 6428, 54260, 1211, 564, 69181, 18640, 36909, 54260, 20260, 54260, 2882, 711, 3069, 2808, 6655, 18225, 48494, 2702, 6, 66313, 77188, 2205, 4151, 6, 159696, 21295, 6, 4, 3120, 10676, 2865, 43375, 47833, 6, 4, 6150, 95247, 112711, 89930, 110167, 3120, 16175, 75230, 30473, 83182, 115556, 8580, 6, 4, 47567, 220224, 1211, 42572, 710, 13845, 144754, 10676, 44917, 51723, 3120, 1470, 54260, 1211, 115556, 8580, 705, 364, 54260, 13497, 115222, 129891, 115556, 8580, 220771, 8580, 6, 4, 54595, 2205, 64890, 69106, 22444, 28714, 119055, 2808, 75230, 13497, 1470, 54260, 1211, 115556, 6, 5, 4838, 24857, 3056, 22444, 28714, 705, 119055, 46646, 30473, 2808, 3056, 42572, 710, 13845, 7265, 1470, 54260, 1211, 115556, 8580, 6, 4, 1470, 75230, 1982, 6150, 75230, 2808, 6, 238144, 4852, 2882, 1470, 75230, 2702, 6150, 8947, 68313, 19024, 64890, 46244, 6, 238144, 110317, 98664, 2882, 7611, 2205, 22444, 28714, 711, 292, 119055, 46646, 9934, 36326, 39484, 6255, 6, 4, 10705, 5666, 180403, 6, 66313, 77188, 3120, 178766, 4113, 895, 16932, 8580, 152, 90284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 96418, 6655, 6, 79100, 54574, 25222, 119718, 2808, 75230, 13497, 6, 5, 6, 5, 6, 5, 7369, 119055, 158291, 42493, 1470, 75230, 2702, 6, 66313, 158291, 8580, 6, 4, 6150, 2205, 22444, 28714, 47567, 4852, 54260, 1211, 36324, 2808, 7038, 31249, 6, 5, 112593, 96418, 46985, 2702, 2702, 49792, 6, 4, 6255, 6, 238144, 2702, 6150, 180403, 185143, 205026, 657, 17645, 1982, 5, 6, 4, 2190, 5666, 3069, 2808, 119718, 34322, 180403, 564, 34533, 33469, 119718, 1211, 6428, 54260, 23269, 119055, 6093, 16932, 43649, 75230, 2702, 6255, 7746, 1470, 75230, 4667, 3069, 144482, 2702, 17410, 4667, 6, 4, 874, 54260, 23269, 4269, 15435, 167622, 8580, 6, 159696, 2932, 8580, 10676, 19024, 30473, 8903, 1211, 2190, 5666, 6, 159696, 2932, 8580, 178766, 21660, 54260, 96986, 119055, 13845, 6255, 220771, 8580, 6, 65939, 16932, 6, 4, 42493, 1470, 13342, 16747, 2819, 2190, 5666, 1285, 4667, 874, 54260, 1211, 2882, 54260, 6093, 6093, 6, 128750, 54260, 16747, 6, 94114, 2882, 6255, 6, 4, 180403, 47567, 16803, 4151, 6, 238144, 1644, 40653, 657, 54260, 20315, 1211, 69355, 5950, 218710, 6, 5, 6, 5, 6, 5, 119055, 46646, 180403, 185143, 33960, 47709, 98833, 6, 5, 6, 5, 6, 5, 2190, 5666, 6255, 119055, 13845, 2205, 26612, 6, 128750, 54260, 6093, 9424, 54260, 2882, 9356, 210674, 8580, 10676, 64769, 8580, 152, 6255, 7501, 17824, 54260, 2882, 6, 65939, 15231, 45629, 75230, 4667, 3069, 2808, 49920, 8580, 152, 20033, 6, 159696, 79981, 123736, 7201, 6, 105235, 79981, 1470, 8300, 54260, 2882, 3069, 2808, 55242, 506, 8580, 7746, 7265, 79761, 6, 4, 2190, 5666, 7508, 54260, 20315, 1211, 6, 159696, 2932, 8580, 10676, 163139, 40920, 93975, 1211, 64769, 8580, 6, 5, 2190, 5666, 4151, 6, 238144, 1644, 6, 4, 874, 54260, 1211, 506, 75230, 4944, 62073, 21660, 16932, 6, 128750, 54260, 16747, 6, 4, 6, 74004, 54260, 162926, 6, 4, 6150, 90284, 202936, 3056, 216333, 6, 86212, 8632, 13342, 2808, 220224, 1211, 1470, 54260, 1211, 32054, 120467, 16932, 564, 75230, 6093, 6329, 39, 7695, 4, 6, 4, 1470, 54260, 35189, 1470, 54260, 1211, 217263, 2451, 952, 292, 95766, 22444, 28714, 230764, 6150, 13845, 107581, 620, 91595, 4113, 238354, 8580, 6, 4, 2205, 119055, 13845, 107581, 6, 148222, 9424, 54260, 2882, 119718, 15350, 194706, 42572, 20961, 88660, 159696, 1211, 6, 5, 46985, 2702, 2702, 147848, 168892, 7501, 220224, 6093, 6, 128750, 54260, 32792, 6, 4, 119055, 46646, 874, 54260, 23269, 1751, 119718, 2808, 107581, 119055, 6093, 16932, 39484, 8580, 95766, 124724, 6150, 75230, 10184, 13845, 42572, 54260, 6093, 7369, 159696, 20911, 6, 5, 132, 26394, 4852, 20961, 138980, 63532, 47833, 7265, 220224, 1211, 3373, 119718, 710, 18415, 16, 6, 5, 112593, 96418, 1211, 2648, 46646, 657, 75230, 55823, 1211, 6655, 7746, 33960, 220440, 2882, 6, 4, 2190, 5666, 9424, 48350, 20961, 6655, 7746, 19532, 75230, 2702, 33960, 119718, 710, 109995, 6, 5, 46985, 2702, 2702, 147848, 54595, 4151, 71107, 119055, 29060, 19024, 37729, 6235, 506, 8580, 47567, 16803, 180403, 4838, 620, 73381, 6, 207682, 46985, 2702, 165354, 42572, 20961, 12483, 6, 23173, 69801, 6, 4, 119055, 29060, 7369, 194706, 21776, 29025, 20616, 79981, 7265, 220224, 1211, 6, 74004, 159696, 2451, 2442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6093, 874, 71512, 6, 4, 119055, 46646, 42572, 20961, 21422, 78683, 159696, 6, 74004, 211169, 55242, 129891, 5332, 131445, 364, 54260, 13497, 33960, 159696, 109995, 2808, 75230, 6293, 6, 148222, 6, 123083, 79981, 6, 5, 112593, 96418, 3111, 2808, 72577, 6, 4, 6255, 119055, 13845, 42572, 25207, 2932, 8580, 6, 5, 44917, 46244, 6, 4, 60980, 2702, 2702, 147848, 33960, 1982, 5332, 131445, 26612, 6, 98055, 163139, 2808, 6150, 75230, 6, 26394, 74004, 32206, 88721, 3056, 9424, 29766, 24295, 158548, 6, 4, 2200, 51963, 6, 4, 6, 148222, 119055, 46646, 8903, 506, 8580, 7265, 1470, 30682, 55242, 129891, 6150, 75230, 163139, 2808, 1470, 54260, 1211, 40653, 33960, 25391, 34882, 71512, 6, 153222, 25207, 45629, 6, 4, 4484, 14081, 23982, 7511, 2808, 3056, 43449, 54260, 4667, 6, 4, 564, 54260, 2808, 21422, 89930, 2808, 26, 1211, 9721, 76632, 1211, 6, 148222, 1470, 75230, 2932, 8580, 6, 4, 220224, 54595, 76632, 1211, 7508, 75230, 2882, 2190, 5666, 4269, 17410, 112690, 1211, 2190, 5666, 564, 128117, 10918, 1211, 6, 4, 6150, 75230, 2808, 163139, 2808, 86296, 6, 148222, 73095, 22492, 205416, 8580, 105884, 8580, 1470, 30682, 1470, 54260, 20260, 93975, 1211, 2205, 218606, 710, 200651, 17645, 6, 5, 46985, 2702, 21087, 183911, 46646, 46985, 119055, 29060, 194706, 4151, 26394, 506, 79981, 119055, 46646, 140108, 3056, 33960, 155697, 8580, 6, 5, 26394, 4852, 20961, 62067, 32829, 14088, 711, 62067, 32829, 24244, 2451, 1039, 292, 26394, 4852, 20961, 168892, 163139, 1644, 39484, 8580, 159190, 7746, 101251, 1982, 54595, 29766, 2932, 18415, 115556, 8580, 6, 4, 42572, 4113, 18415, 6, 4, 159696, 1644, 107581, 55242, 129891, 6, 62073, 17410, 156325, 564, 54260, 2808, 112389, 2882, 2819, 60980, 2702, 2702, 147848, 3056, 230764, 10676, 17806, 215052, 54260, 6093, 1470, 54260, 20315, 1644, 2200, 364, 23174, 9221, 37016, 711, 7369, 6, 210674, 220224, 6093, 42572, 710, 13845, 6, 5, 6, 5, 6, 5, 6150, 75230, 23269, 96302, 16629, 1211, 55242, 129891, 874, 241843, 6, 5, 62067, 32829, 24244, 5666, 54260, 1211, 4, 9424, 48350, 20961, 6, 4, 39484, 6319, 54260, 1211, 874, 151461, 42493, 6, 4, 7369, 3056, 42493, 6319, 54260, 1211, 55726, 1982, 5666, 26, 6093, 6093, 3056, 2882, 1470, 54260, 1211, 42572, 54260, 59461, 2190, 5666, 1470, 54260, 1211, 19302, 161459, 34654, 94790, 32829, 1211, 6, 5, 26394, 4852, 20961, 159696, 1211, 7369, 47567, 220224, 1211, 17824, 4113, 75578, 6, 5, 6, 5, 6, 5, 2190, 5666, 163139, 35189, 6, 4, 6255, 39484, 4151, 36909, 20961, 6319, 54260, 1211, 874, 151461, 42493, 2819, 119055, 12483, 6255, 47567, 39484, 8580, 4838, 99531, 3120, 874, 151461, 39484, 8580, 6, 4, 119718, 158291, 6255, 7746, 6681, 6319, 54260, 119132, 6150, 75230, 2808, 42493, 6, 66313, 15907, 6, 4, 163139, 2808, 6681, 60980, 2702, 2702, 147848, 26, 1211, 152, 6093, 657, 54260, 35596, 220224, 6093, 42572, 710, 13845, 711, 7369, 17806, 20911, 7746, 220224, 6093, 72577, 21422, 2808, 6, 4, 3069, 2808, 6, 17645, 122623, 6, 4, 10705, 5666, 7265, 220224, 1211, 65902, 8903, 1211, 6, 98055, 23050, 506, 63532, 7369, 37729, 4231, 65482, 36258, 22639, 15231, 25207, 149311, 37729, 10705, 5666, 37729, 2819, 7369, 6655, 42493, 657, 17645, 1982, 6319, 54260 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 32887, 40096, 6093, 1751, 46545, 6, 4, 6319, 54260, 1211, 65146, 125897, 165354, 7369, 42493, 657, 54260, 20315, 1211, 6, 4, 7369, 1157, 40920, 220224, 6093, 55242, 21295, 8580, 6, 4, 6150, 7369, 42493, 4838, 3131, 2865, 54260, 4944, 13845, 6, 4, 1157, 40920, 7369, 7265, 10676, 3120, 7746, 5950, 54260, 1211, 6, 4, 7369, 42572, 20961, 7544, 10705, 16803, 4852, 54260, 1211, 83031, 6, 4, 119055, 46646, 6655, 7746, 183519, 57906, 54595, 2882, 3069, 2808, 36324, 2808, 24012, 35189, 161459, 196511, 6, 5, 54595, 75230, 23269, 115556, 8580, 55242, 129891, 47783, 60118, 5594, 18640, 6, 4, 220224, 2808, 115222, 129891, 42493, 657, 54260, 20315, 1211, 6150, 35189, 87680, 2442, 47567, 220224, 1211, 17288, 104238, 3120, 220224, 2808, 6, 4, 40653, 10676, 55242, 129891, 220224, 2808, 292, 36258, 905, 56331, 6, 5, 44917, 46244, 119055, 46646, 147062, 6255, 21776, 12415, 1211, 6, 159696, 2932, 8580, 10676, 6, 4, 6150, 44064, 42572, 159870, 46598, 119055, 46646, 18225, 147062, 874, 151461, 39484, 8580, 39484, 6255, 6319, 54260, 1211, 874, 151461, 42493, 6, 4, 6255, 115518, 47783, 292, 6, 36723, 168155, 6, 5, 6235, 506, 40653, 230764, 4151, 87680, 2442, 220224, 2882, 292, 6255, 115518, 16175, 75230, 1982, 230764, 10676, 1470, 75230, 6093, 292, 2190, 5666, 220771, 20033, 10676, 88771, 119055, 46646, 6, 99176, 4944, 16803, 29257, 2808, 6, 159696, 8903, 1211, 1470, 30682, 6, 5, 132, 26394, 4852, 20961, 7265, 220224, 1211, 3373, 119718, 710, 18415, 6235, 506, 8580, 1470, 159696, 4484, 6, 4, 46985, 2702, 46985, 43449, 54260, 47332, 40653, 16, 6, 5, 2451, 1105, 292, 46985, 2702, 46985, 4113, 131445, 185143, 905, 205026, 1470, 54260, 1211, 620, 73381, 204982, 17537, 42572, 20961, 10676, 874, 88917, 9221, 6, 4, 180403, 119718, 15350, 16803, 7265, 20033, 5332, 131445, 7508, 54260, 122623, 705, 112593, 96418, 74004, 2932, 194706, 6, 4, 119055, 46646, 6655, 7746, 33960, 99176, 36909, 8580, 364, 54260, 13497, 6, 4, 119055, 46646, 3056, 5332, 131445, 26394, 4852, 20961, 6150, 75230, 2808, 564, 21660, 29766, 41595, 705, 46985, 95564, 69859, 47709, 564, 34533, 1470, 75230, 4667, 33960, 159696, 42023, 7265, 1470, 30682, 6, 4, 3069, 2808, 3523, 54260, 1211, 705, 112593, 96418, 168892, 47567, 33960, 159696, 42023, 220224, 1211, 6, 4, 119055, 158291, 6255, 199250, 1285, 4667, 42493, 33960, 128750, 29060, 6, 159696, 2932, 8580, 20315, 2050, 119055, 46646, 6655, 7746, 140108, 33960, 99176, 156325, 6, 5, 46985, 2702, 46985, 51723, 6655, 130170, 33960, 99176, 2932, 8580, 9424, 48350, 20961, 26, 1211, 6, 4, 6, 148222, 30109, 75230, 1211, 2819, 6655, 7369, 5, 23829, 1470, 159696, 4484, 6, 62073, 179857, 2882, 95836, 4151, 364, 112711, 6, 4, 6655, 4151, 71107, 7265, 17824, 75230, 2702, 128750, 54260, 2648, 19532, 75230, 2702, 57906, 2808, 33809, 2882, 1470, 54260, 1211, 1470, 75230, 2702, 33960, 25391, 54260, 2808, 711, 112593, 96418, 119718, 46646, 9934, 36326, 42572, 20961, 4838, 69529, 3056, 33960, 159696, 42023, 2205, 10676, 1470, 83182, 8580, 15864, 54574, 705, 46985, 95564, 26632, 2808, 39340, 3120, 10676, 1470, 54260, 25222, 119132, 6, 5, 46985, 2702, 2702, 147848, 51723, 6655, 199250, 29434, 54260, 2808, 15864, 54574, 1470, 75230, 2702, 6, 62073, 215206, 12483, 6, 4, 119055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46646, 9934, 36326, 6655, 51723, 73784, 29434, 710, 146887, 15864, 54574, 6, 62073, 215206, 8580, 705, 46985, 2702, 46985, 14081, 7611, 6, 159696, 2932, 8580, 10676, 1470, 54260, 8903, 119132, 6, 5, 2451, 744, 292, 112593, 96418, 119718, 23829, 364, 54260, 16803, 6, 4, 18225, 6655, 1470, 30682, 29434, 54260, 2808, 15864, 54574, 117578, 33960, 99176, 2932, 8580, 148222, 30109, 75230, 1211, 705, 46985, 2702, 46985, 101328, 711, 29434, 54260, 2808, 15864, 54574, 6655, 18225, 22753, 2808, 1470, 30682, 117578, 33960, 99176, 2932, 8580, 6, 4, 10705, 5666, 51963, 29434, 54260, 2808, 15864, 54574, 6655, 7369, 22753, 2808, 3120, 7746, 1470, 159696, 4484, 6, 62073, 179857, 2882, 6, 4, 51963, 115768, 1644, 1751, 119718, 2808, 104238, 6, 4, 2190, 5666, 564, 54260, 2808, 6, 17645, 122623, 14856, 54574, 39484, 8580, 874, 54260, 23269, 42572, 54260, 23269, 1751, 56331, 2932, 2808, 69106, 364, 75230, 4667, 6, 62073, 215206, 8580, 6, 5, 46985, 2702, 2702, 147848, 159696, 2442, 6655, 1470, 30682, 130170, 33960, 99176, 2932, 8580, 6, 148222, 30109, 75230, 1211, 705, 46985, 2702, 46985, 62067, 32829, 24244, 6, 5, 112593, 96418, 35189, 26394, 54574, 194706, 6, 4, 657, 88680, 60980, 2702, 46985, 6, 4, 1470, 99915, 2882, 163139, 2808, 1470, 75230, 6, 148222, 104038, 3056, 33960, 159696, 42023, 6, 5, 46985, 2702, 46985, 170098, 18225, 205026, 230764, 364, 54260, 23405, 8580, 6, 4, 1470, 75230, 1982, 6255, 7501, 101251, 29659, 104274, 1470, 54260, 4667, 13342, 2808, 29434, 26394, 506, 79981, 6, 4, 8947, 3056, 33960, 159696, 1211, 51328, 4838, 6, 56052, 53082, 9134, 2819, 6255, 39484, 7746, 2808, 75230, 6293, 1470, 30682, 141107, 163139, 109985, 159190, 4269, 100436, 20911, 6, 5, 6255, 39484, 51328, 33960, 39293, 42023, 6, 4, 163139, 79100, 24152, 6, 62067, 32829, 14088, 6655, 1470, 30682, 4151, 6, 143409, 2882, 6, 148222, 30109, 75230, 1211, 6, 4, 292, 230764, 26, 1211, 88771, 74004, 2932, 8580, 73095, 3056, 42493, 33960, 159696, 42023, 6319, 54260, 1211, 30109, 75230, 1211, 6, 4, 44917, 46244, 292, 4838, 30109, 54260, 107829, 1644, 6, 5, 2190, 5666, 6150, 75230, 119718, 23829, 6255, 39484, 1470, 54260, 4667, 1751, 75230, 1211, 6, 128750, 63188, 4151, 8300, 54260, 21295, 6, 4, 9424, 48350, 20961, 6655, 22753, 2808, 1470, 159696, 4484, 62073, 15231, 23741, 6, 5, 44917, 46244, 20033, 6655, 7746, 1470, 75230, 2702, 33960, 119718, 710, 109995, 6150, 7369, 6655, 22753, 2808, 220224, 6093, 25222, 119718, 158291, 23050, 506, 56052, 6, 5, 49481, 10676, 6655, 1470, 30682, 6, 62067, 32829, 24244, 24857, 9424, 238144, 18415, 15864, 54574, 35189, 6, 143409, 2882, 6, 148222, 30109, 75230, 1211, 6, 4, 2190, 5666, 9424, 48350, 20961, 6655, 22753, 2808, 163139, 35189, 1470, 159696, 4484, 219947, 905, 23741, 2819, 44917, 46244, 163139, 2808, 20033, 6655, 7746, 1470, 75230, 2702, 33960, 119718, 710, 109995, 6, 4, 6655, 7369, 220224, 6093, 68558, 60631, 4484, 3069, 2808, 4269, 17171, 56052, 3120, 1470, 30682, 220224, 23269, 42572, 23174, 6093, 6, 5, 4838, 2050, 5332, 152848, 6655, 22753, 2808, 2451, 714, 292, 2808, 30682, 6, 62067, 32829, 24244, 24857, 29434, 710, 18415, 14856, 54574, 3069, 2808, 33960, 99176, 2932, 8580, 152, 9424, 48350, 20961, 6655, 7746, 119718, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35189, 3120, 9213, 46244, 120202, 33960, 74004, 98833, 6, 5, 49481, 148932, 15864, 54574, 6, 4, 119055, 46646, 7369, 6655, 4852, 18167, 3120, 4151, 30109, 75230, 1211, 123736, 7201, 33960, 74004, 98833, 6655, 4151, 64751, 82576, 71107, 7265, 21776, 3131, 62073, 215206, 8580, 6, 4, 2190, 5666, 33960, 36909, 17410, 64310, 2882, 7265, 6, 148222, 364, 141943, 6, 4, 2190, 5666, 33960, 119718, 20961, 156325, 2205, 4151, 7972, 159212, 12483, 220224, 123073, 6681, 1751, 238144, 2702, 18640, 18415, 6319, 39083, 7201, 92605, 21292, 6, 4, 6681, 6, 128750, 54260, 2648, 119055, 46646, 9424, 48350, 20961, 192061, 6, 148222, 30109, 75230, 1211, 42493, 33960, 119718, 158291, 3069, 23050, 56052, 6655, 4151, 182990, 2442, 71107, 7265, 79100, 54574, 19532, 75230, 2702, 57906, 54595, 2882, 172590, 32899, 2702, 54698, 119132, 18133, 4667, 3120, 10676, 874, 75230, 1644, 6, 4, 6150, 9424, 48350, 20961, 68313, 112106, 42493, 9934, 20961, 29260, 29060, 33960, 119718, 69596, 1211, 152, 7369, 3056, 33960, 90536, 115518, 123736, 42023, 6, 106672, 2190, 22492, 15533, 33960, 145168, 8580, 6, 4, 6255, 39484, 6428, 119718, 46985, 33960, 119718, 158291, 7746, 72577, 1470, 75230, 2702, 1157, 115518, 6, 4, 6150, 75230, 2808, 119718, 23829, 73095, 107776, 6, 4, 44917, 46244, 6255, 39484, 874, 151461, 33960, 192061, 5332, 36909, 76632, 1211, 24857, 874, 75230, 1644, 6, 4, 6255, 4852, 14081, 42493, 1470, 54260, 1211, 620, 23174, 8580, 2205, 7746, 10676, 32899, 2702, 54698, 119132, 119055, 29771, 4852, 2648, 31212, 6, 5, 46985, 2702, 2702, 147848, 29659, 54260, 2808, 6, 4, 6255, 6, 94114, 1285, 4667, 6, 5, 180403, 220771, 16803, 6, 4, 6150, 9424, 48350, 20961, 3056, 25222, 90536, 115518, 1470, 42023, 6, 64260, 506, 46598, 705, 46985, 2702, 46985, 6093, 3056, 33960, 145168, 8580, 230764, 10676, 98664, 7611, 6, 4, 3120, 220224, 1211, 874, 75230, 1644, 3056, 19532, 75230, 2702, 1982, 54260, 2808, 1470, 30682, 1470, 10184, 65482, 4, 2190, 5666, 3056, 33960, 90536, 1982, 12483, 1470, 42023, 6, 106672, 6, 5, 112593, 96418, 36419, 3056, 6319, 54260, 1211, 6, 201601, 42493, 7369, 9174, 26632, 24857, 42572, 69803, 16747, 18640, 13804, 36909, 4484, 54260, 2882, 6, 5, 46985, 2702, 2702, 147848, 5666, 54260, 1211, 6, 4, 7369, 6655, 42493, 24857, 13804, 36909, 4484, 54260, 2882, 2819, 20033, 39484, 8580, 15622, 2808, 1285, 4852, 13159, 3131, 71804, 36909, 4484, 54260, 2882, 152, 6255, 6, 4, 180403, 2190, 5666, 4151, 364, 75230, 4944, 62073, 21660, 16932, 60980, 2702, 46985, 6, 5, 46985, 2702, 46985, 168892, 6, 238144, 2702, 42493, 6, 4, 119055, 46646, 180403, 874, 54260, 16667, 2882, 7265, 6, 148222, 119055, 6093, 16932, 152, 44917, 506, 29025, 48350, 20961, 3056, 33960, 36909, 69803, 1211, 6, 5, 202446, 205026, 6681, 1470, 54260, 1211, 6, 186461, 59461, 1470, 75230, 1982, 6255, 220771, 26612, 6, 186461, 12483, 6, 4, 6150, 6, 148222, 24012, 35189, 226112, 40920, 93975, 6, 238144, 36419, 69512, 6, 4, 39484, 8580, 42493, 7201, 2451, 1381, 292, 25222, 36909, 7972, 46646, 30033, 7265, 6, 148222, 364, 141943, 6, 4, 2190, 5666, 4269, 21292, 119718, 710, 153222, 2882, 7265, 6, 148222, 874, 54260, 44478, 54595, 75230, 2808, 163139, 2808, 4151, 6, 125942, 29766, 2205, 32887, 26632, 2442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 4, 3069, 2808, 6, 238144, 109995, 3069, 2808, 7369, 3056, 220224, 64567, 710, 36909, 13845, 8580, 6, 4, 3069, 2808, 3523, 54260, 1211, 6, 5, 112593, 96418, 10705, 5666, 6150, 7369, 3056, 3069, 2808, 7746, 4269, 100436, 56052, 6, 4, 119055, 46646, 6655, 7369, 33960, 74004, 98833, 705, 46985, 95564, 182759, 4667, 40026, 6093, 6, 4, 1470, 54260, 35189, 7369, 3056, 64915, 32572, 33960, 90536, 115518, 6, 4, 6655, 7369, 25491, 46685, 20911, 163139, 2808, 6150, 75230, 4151, 71107, 6655, 7746, 4151, 6, 128750, 54260, 2882, 6150, 7369, 6655, 7746, 29771, 7201, 33960, 74004, 98833, 3120, 4151, 30109, 75230, 1211, 6, 4, 6655, 7369, 205026, 2190, 13497, 12483, 159190, 1470, 54260, 1211, 620, 73381, 25222, 207682, 6, 4, 2190, 5666, 6655, 20033, 1470, 23174, 85310, 63532, 1470, 192556, 6, 4, 6150, 6255, 47567, 1470, 30682, 3069, 2808, 222907, 710, 12483, 220224, 23269, 19302, 54260, 35189, 6, 4, 2190, 5666, 6655, 6235, 94114, 8580, 18225, 47567, 1470, 30682, 40653, 2451, 3131, 5666, 54260, 122623, 10676, 122133, 4852, 6, 5, 44917, 46244, 6255, 39484, 7746, 42493, 3373, 29771, 21847, 46646, 29060, 6, 5, 49481, 20315, 2050, 3056, 7369, 33960, 145168, 8580, 6, 5, 6150, 7369, 3056, 44438, 2702, 13845, 4269, 100436, 56052, 3069, 2808, 7746, 6, 4, 6655, 6093, 33960, 74004, 98833, 152, 137, 2882, 64665, 39484, 6255, 204982, 17537, 6150, 13845, 40377, 6, 5, 6, 5, 6, 5, 77187, 6255, 39484, 20961, 75230, 2702, 4269, 9221, 77188, 42493, 6319, 54260, 1211, 1751, 54260, 1211, 119055, 99766, 6, 4, 6, 94114, 6255, 6150, 6, 148222, 199720, 163177, 2648, 48904, 13159, 74004, 79981, 20033, 7038, 54574, 220224, 1211, 6, 4, 2200, 6, 68558, 364, 54260, 23405, 8580, 6150, 8947, 3056, 6681, 17824, 75230, 2702, 107020, 55823, 96256, 88680, 10676, 13804, 42410, 54260, 2882, 6, 5, 29434, 54260, 2808, 3069, 2808, 42572, 63188, 6, 238144, 75578, 6, 4, 119055, 13845, 107581, 55242, 129891, 62073, 96256, 129891, 23050, 115518, 20033, 39484, 8580, 220224, 2808, 1470, 62073, 2442, 54260, 2808, 204982, 17537, 152, 137, 2808, 4667, 6, 4, 364, 54260, 186461, 43178, 83586, 6, 20971, 2190, 5666, 39484, 8580, 1470, 30682, 7265, 220224, 6093, 64890, 112690, 1211, 68889, 10918, 1211, 7038, 30946, 33960, 159696, 42023, 6, 5, 22492, 46244, 230764, 220224, 2808, 3056, 42493, 48494, 119055, 46646, 3069, 2808, 17806, 165354, 152, 44064, 9424, 48350, 20961, 47567, 64044, 220224, 123073, 1470, 75230, 2932, 8580, 6319, 75230, 1644, 12483, 220224, 123073, 187667, 93497, 119055, 158291, 8580, 220224, 2808, 1470, 75230, 4667, 24857, 23269, 2865, 149010, 204982, 17537, 6, 5, 112593, 96418, 10705, 5666, 49481, 10676, 3056, 7369, 1470, 159696, 4484, 33960, 185337, 8580, 6, 238144, 16932, 1470, 75230, 4667, 2205, 172590, 31249, 91595, 8580, 185527, 705, 46985, 2702, 46985, 2451, 1438, 292, 46985, 2702, 2702, 147848, 10918, 89930, 2808, 6655, 141107, 42493, 33960, 74004, 98833, 46985, 2702, 46985, 101328, 6, 4, 7369, 6655, 5332, 131445, 33960, 186479, 2808, 211169, 230764, 6, 68566, 15949, 3131, 6, 5, 46985, 2702, 2702, 147848, 36909, 99766, 6, 4, 119055, 46646, 6655, 7369, 4269, 9221, 16870, 2882, 705, 46985, 2702, 46985, 2808, 75230, 1982, 6255, 7501, 101251, 29659, 104274, 1470, 54260, 4667, 3069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2808, 29434, 26394, 506, 79981, 6, 4, 47567, 6255, 42493, 35189, 17190, 115518, 7746, 55242, 506, 8580, 7265, 1470, 54260, 4667, 49481, 6, 79100, 54574, 6, 5, 1285, 4113, 39293, 115556, 8580, 159696, 1644, 107581, 39484, 8580, 1470, 30682, 6, 101328, 42572, 20961, 29659, 32829, 1211, 6, 4, 39484, 8580, 57906, 115536, 1470, 54260, 59461, 73784, 2808, 83182, 8580, 6, 4, 220224, 2808, 39484, 8580, 6150, 3131, 6681, 119055, 29766, 156325, 6, 148222, 6319, 73381, 3120, 17824, 75230, 2702, 57906, 29771, 4944, 2451, 16932, 6, 4, 44917, 46244, 564, 54260, 2808, 20033, 6655, 24857, 1470, 54260, 1211, 88721, 33960, 192061, 163139, 2808, 1470, 97483, 45629, 130745, 3131, 10918, 22492, 15, 7511, 2882, 6319, 54260, 1211, 6428, 54260, 2882, 149010, 84349, 45629, 4667, 16, 6, 5, 6255, 42542, 1470, 54260, 4667, 29434, 26394, 506, 79981, 22492, 4667, 1470, 54260, 1211, 3523, 54260, 13159, 152, 118222, 69803, 24244, 26, 1211, 2190, 5666, 98664, 119718, 147848, 26, 1211, 6, 4, 6655, 18225, 6681, 43649, 87442, 148222, 874, 54260, 44478, 4151, 6681, 119055, 46646, 220224, 2808, 39484, 8580, 183519, 33960, 121865, 12483, 6, 148222, 6681, 7916, 125830, 91595, 8580, 3120, 9424, 48350, 20961, 26, 2702, 48706, 26632, 75230, 12483, 6, 5, 43449, 54260, 47332, 4269, 15533, 88917, 6, 4, 140108, 3056, 207748, 2451, 2932, 100436, 56052, 49481, 1470, 54260, 1211, 6, 448, 6, 142170, 94626, 26632, 23269, 6, 74004, 211169, 6, 4, 44917, 46244, 5950, 1644, 13159, 3056, 20033, 3131, 159696, 46244, 3069, 2808, 4269, 88945, 20260, 8580, 6, 5, 46985, 2702, 21087, 183911, 46646, 46985, 6, 4, 180403, 119055, 119273, 8947, 8580, 364, 54260, 13497, 7265, 20033, 1470, 30750, 115666, 8947, 8580, 705, 46985, 95564, 112711, 54260, 1211, 6, 4, 6255, 7501, 42572, 65285, 146887, 6, 4, 18225, 6655, 205026, 1470, 159696, 4484, 33960, 15529, 156325, 6, 5, 46985, 2702, 2702, 49792, 159696, 16803, 180403, 17806, 56052, 874, 48340, 12483, 3069, 2808, 20033, 7265, 2882, 64567, 8947, 8580, 705, 2451, 1372, 292, 46985, 2702, 46985, 29771, 506, 7265, 10676, 17824, 119273, 8580, 158504, 6, 4, 44438, 2808, 6255, 119055, 13845, 44917, 46244, 4151, 5, 28726, 115518, 6, 4, 44917, 46244, 180403, 47567, 16803, 42493, 117608, 220224, 1211, 119055, 34322, 180403, 185143, 33960, 74004, 98833, 6, 4, 54595, 6428, 54260, 1211, 7265, 2882, 64567, 2702, 8947, 8580, 47567, 119055, 77188, 220224, 1211, 18225, 47567, 1470, 30682, 8947, 8580, 6, 5, 46985, 2702, 2702, 147848, 3111, 2808, 6, 4, 47567, 6255, 119055, 101503, 8580, 230764, 124724, 705, 46985, 2702, 46985, 101328, 6, 4, 6, 59919, 17160, 54260, 47332, 564, 54260, 20315, 4269, 15533, 88917, 6, 5, 15, 8903, 506, 2882, 1470, 159696, 4484, 16, 6, 5, 112593, 96418, 119718, 23829, 1470, 119718, 23829, 4151, 115556, 3056, 120202, 33960, 16580, 21295, 33960, 119718, 69596, 1211, 711, 163139, 2808, 1470, 119718, 23829, 95766, 48011, 3056, 7369, 6235, 159696, 1211, 11211, 147455, 2190, 5666, 4269, 54260, 147455, 6, 5, 46985, 2702, 2702, 49792, 6093, 3056, 137765, 1470, 75230, 4667, 1470, 75230, 2808, 6, 54260, 147455, 6, 4, 6150, 7369, 147062, 66616, 61541, 49209, 73381, 448, 6, 76526, 159696, 25207, 44917, 46244, 1470, 36909, 54260, 23269, 19532, 1982, 54260, 2882, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 9174, 26632, 3131, 230764, 26, 1211, 6, 98055, 6, 238144, 4852, 2882, 7369, 2808, 75230, 2702, 42572, 75230, 13845, 6, 4, 2190, 5666, 34076, 54260, 4667, 154739, 15231, 2932, 4, 19024, 2050, 21422, 2808, 58679, 4944, 135118, 54260, 2882, 3056, 44917, 46244, 2205, 2808, 30682, 230764, 1470, 54260, 1211, 6, 105235, 79981, 220224, 23269, 16175, 54260, 123073, 4269, 15435, 167622, 8580, 6, 4, 24857, 33960, 47332, 3069, 54595, 54260, 23269, 119055, 6093, 16932, 141107, 1470, 54260, 1211, 1470, 83182, 119055, 20616, 33716, 6, 5, 112593, 96418, 101328, 6, 4, 88771, 6, 5, 6255, 119055, 13845, 1470, 13342, 16747, 40653, 170098, 8580, 5950, 54260, 1211, 6, 4, 2190, 5666, 6, 87311, 48974, 8580, 2808, 75230, 1982, 180403, 119055, 119273, 6, 159696, 79981, 7265, 20033, 21776, 12415, 1211, 6, 4, 119055, 13845, 6255, 3069, 2808, 124724, 17806, 56052, 6, 4, 20961, 6093, 6, 81050, 180403, 3069, 2808, 20033, 6, 4, 6255, 119055, 13845, 230764, 124724, 119055, 101503, 8580, 6, 5, 46985, 2702, 2702, 49792, 3111, 2808, 119055, 13845, 6255, 3069, 2808, 124724, 17806, 56052, 6, 4, 180403, 9356, 210674, 7746, 4151, 6, 238144, 1644, 6, 5, 132, 112593, 96418, 6235, 506, 2882, 1470, 159696, 4484, 16, 6, 5, 2451, 1702, 292, 101328, 6, 4, 90284, 96418, 6, 4, 180403, 564, 34533, 1470, 54260, 1211, 42572, 54260, 59461, 115556, 6, 4, 44917, 46244, 6255, 55242, 506, 54595, 6428, 54260, 1211, 72577, 6093, 9174, 20961, 34882, 16932, 42542, 212911, 710, 119055, 6093, 8580, 3120, 6, 128750, 63593, 20315, 7508, 54260, 2648, 6, 4, 141353, 14088, 147062, 18225, 6, 115536, 17310, 6235, 115518, 6, 4, 6150, 221067, 49920, 89930, 47567, 8580, 7746, 44917, 46244, 46985, 112595, 32829, 12483, 7265, 220224, 6093, 34076, 54260, 211169, 6, 5, 6, 159696, 195164, 180141, 6093, 9174, 20961, 34882, 16932, 42542, 9183, 2808, 9356, 29659, 54260, 1211, 6235, 2932, 8580, 6681, 44917, 120749, 2702, 705, 205026, 6655, 9424, 48350, 20961, 42572, 54260, 16747, 6, 4, 2190, 5666, 112593, 96418, 26, 1211, 6655, 7369, 657, 17645, 1982, 6, 5, 44917, 46244, 119055, 12483, 6255, 47567, 220224, 1211, 230764, 90284, 96418, 26, 2702, 101503, 6, 4, 2190, 5666, 90284, 96418, 230764, 874, 54260, 1211, 6, 101503, 6, 4, 119055, 158291, 205026, 9424, 48350, 20961, 42493, 4269, 7682, 35596, 64044, 84349, 25207, 211169, 6, 5, 6255, 119055, 13845, 7746, 48706, 23173, 12483, 364, 54260, 50778, 8903, 112389, 2882, 19532, 54260, 1211, 119055, 20961, 156325, 13342, 2808, 90284, 96418, 26, 1211, 2205, 42572, 4113, 57619, 16932, 234917, 6319, 119718, 710, 18415, 32792, 6, 4, 6, 63188, 93497, 7265, 1470, 54260, 1211, 2808, 83182, 10339, 64260, 86733, 7682, 6, 4, 130170, 148932, 8580, 119055, 13845, 6255, 77756, 9719, 49008, 1470, 54260, 1211, 2808, 83182, 191069, 31807, 20305, 6, 4, 2190, 5666, 2205, 6, 148222, 6319, 119718, 710, 18415, 32792, 119055, 13845, 6255, 1470, 75230, 2702, 122165, 8580, 119055, 46646, 6681, 1470, 54260, 1211, 16175, 54260, 6093, 874, 54260, 3111, 23405, 64890, 69106, 22444, 28714, 6655, 6, 159696, 129891, 112593, 96418, 26, 1211, 6, 4, 2190, 5666, 3069, 74004, 2865, 51723, 7265, 10676, 119055, 13845, 6255, 1470, 30682, 1470, 75230, 2702, 6, 87311, 79981, 26394, 4852, 20961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26, 2702, 620, 91595, 18640, 4484, 54260, 2882, 292, 54745, 16667, 87311, 21295, 292, 364, 186955, 7746, 180141, 6093, 26394, 4852, 20961, 711, 20033, 6, 159696, 79981, 1285, 4667, 3120, 6428, 54260, 1211, 67826, 1644, 183519, 119055, 20961, 36909, 8580, 6, 4, 97483, 46685, 7511, 2882, 292, 119055, 29060, 194706, 220224, 1211, 620, 91595, 711, 132, 8903, 506, 12483, 1470, 159696, 4484, 16, 6, 5, 304, 2451, 18415, 126230, 15231, 22492, 6, 5, 96256, 39340, 140108, 12483, 6, 4, 6, 148222, 64890, 2702, 2702, 6, 4, 18133, 59461, 8580, 2190, 5666, 34072, 26394, 1211, 6, 4, 3120, 6, 148222, 104274, 123073, 220224, 96986, 107776, 47833, 60980, 2702, 46985, 7265, 1470, 54260, 1211, 1751, 159696, 38054, 2205, 4151, 506, 104274, 6, 4, 2190, 16747, 21422, 89930, 2808, 6, 5, 10918, 89930, 2808, 119718, 46646, 15864, 4944, 16803, 180403, 60980, 2702, 46985, 705, 180403, 185143, 123736, 7201, 6235, 36909, 54196, 9424, 48350, 20961, 26, 1211, 1982, 15533, 72649, 54260, 2050, 705, 119055, 46646, 6, 98055, 126934, 5332, 131445, 6150, 75230, 2808, 15864, 24152, 64260, 23269, 705, 119055, 46646, 185143, 22151, 18167, 5332, 22426, 448, 6150, 75230, 2808, 42572, 20961, 2702, 29771, 55823, 2882, 705, 2451, 496, 292, 46985, 2702, 46985, 168892, 6681, 43649, 54260, 2808, 42493, 163139, 2808, 6150, 75230, 2808, 180403, 6319, 172398, 2882, 220224, 1211, 22444, 506, 18640, 6, 4, 6150, 95766, 6428, 54260, 1211, 17824, 88917, 21422, 16932, 2882, 6150, 75230, 2808, 6, 148222, 7369, 2648, 6, 5, 1470, 75230, 21422, 89930, 2808, 711, 119055, 46646, 47567, 168892, 124724, 220771, 8580, 152, 6255, 39484, 1751, 75230, 1211, 230764, 874, 54260, 1211, 17190, 115518, 33960, 39293, 42023, 6, 220440, 109298, 29260, 149010, 9934, 69596, 1211, 6, 4, 77985, 152, 6255, 39484, 203175, 4269, 54260, 20616, 1211, 6150, 75230, 23269, 6, 28317, 13159, 6, 4, 6150, 35189, 163139, 16747, 6655, 1470, 54260, 1211, 564, 212484, 204982, 17537, 55242, 129891, 1470, 75230, 2702, 33960, 13458, 2808, 211169, 33960, 119718, 69596, 1211, 29659, 20961, 39340, 2190, 5666, 5950, 18415, 54745, 2865, 1982, 13159, 2819, 6255, 39484, 33960, 39293, 42023, 230764, 26, 1211, 17824, 75230, 149311, 159696, 21295, 448, 172590, 364, 119718, 21106, 710, 119055, 46646, 22753, 2808, 6655, 7746, 230764, 6, 66313, 75230, 115518, 78278, 10676, 506, 52480, 13845, 6, 4, 44917, 46244, 24857, 6655, 7746, 20033, 6319, 54260, 1211, 15864, 54574, 42493, 33960, 99176, 156325, 6, 4, 6235, 42023, 10705, 13497, 6093, 1470, 54260, 1211, 163139, 107829, 8903, 1211, 10339, 54260, 6093, 196332, 1211, 21776, 2932, 8580, 6, 5, 1470, 88721, 8947, 3056, 6, 76526, 174410, 39340, 84316, 2932, 230764, 6, 148222, 11211, 17017, 12483, 705, 6, 148222, 41545, 30315, 46050, 2932, 8580, 7746, 6, 4, 39484, 8580, 220224, 2808, 6093, 8300, 29766, 41595, 6, 148222, 6, 159696, 21295, 6, 4, 2190, 5666, 39484, 8580, 194706, 1470, 54260, 1211, 874, 183599, 6, 68558, 6, 62073, 93449, 705, 10918, 89930, 2808, 119718, 46646, 9934, 36326, 185143, 180403, 6150, 13845, 40377, 33960, 39293, 42023, 705, 46985, 2702, 46985, 168892, 39484, 4269, 54260, 20616, 1211, 6, 4, 6150, 1470, 54260, 1211, 10339, 142429, 48904, 4113, 292, 230764, 26, 1211, 88721, 6319, 43178, 126934, 2808, 30682, 292, 6655 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 66313, 75230, 115518, 2205, 4151, 364, 54260, 4667, 220224, 1211, 130154, 4113, 364, 104274, 6, 4, 1285, 43590, 104274, 3056, 33960, 159696, 42023, 6150, 75230, 2808, 163139, 2808, 1470, 54260, 1211, 42572, 17410, 2050, 10339, 54260, 6093, 2190, 5666, 6655, 33960, 13458, 35596, 54595, 75230, 2808, 163139, 2808, 9424, 119718, 2808, 109985, 1157, 2865, 16932, 12130, 6, 4, 3120, 6428, 119273, 159696, 2932, 8580, 6655, 22753, 2808, 24857, 36909, 54260, 6093, 42493, 33960, 7916, 13845, 2882, 6, 4, 2190, 5666, 3056, 33960, 90536, 115518, 64890, 69106, 6, 5, 49481, 15, 69355, 54745, 16667, 122165, 207682, 39484, 6255, 1470, 75230, 2702, 6, 62073, 23822, 87442, 874, 54260, 1211, 1751, 159696, 38054, 16, 2205, 218606, 710, 200651, 17645, 39484, 168892, 9356, 8903, 7511, 13497, 1470, 54260, 1211, 657, 17645, 159696, 152, 6655, 7369, 1470, 75230, 4667, 20033, 1470, 98055, 204982, 17537, 2190, 22492, 15533, 7746, 564, 54260, 168155, 506, 54260, 2882, 1470, 159696, 4484, 33960, 185337, 8580, 6, 238144, 16932, 6, 4, 2190, 5666, 6655, 205026, 42493, 56040, 7682, 25222, 159696, 42023, 6, 5, 49481, 10676, 7501, 6255, 19532, 75230, 6293, 33960, 145168, 8580, 230764, 11211, 83182, 2882, 64699, 2882, 75230, 18415, 32054, 75230, 12483, 119055, 46646, 55242, 129891, 33960, 159696, 42023, 3069, 2808, 119718, 13456, 8580, 71107, 6, 4, 2190, 5666, 18895, 18630, 4151, 25391, 37016, 55242, 129891, 6681, 6, 141353, 115518, 33960, 119718, 69596, 1211, 220224, 123073, 60106, 1982, 26, 6093, 6, 4, 39484, 8580, 220224, 2808, 20033, 62073, 119718, 69596, 1211, 6150, 220224, 2808, 39484, 8580, 5950, 54260, 1211, 7265, 220224, 123073, 1470, 75230, 2932, 8580, 33960, 39293, 42023, 6, 4, 163139, 2808, 96302, 16629, 1211, 119055, 46646, 39484, 8580, 33960, 13458, 35596, 7265, 10339, 54260, 6093, 55242, 129891, 57906, 2808, 36909, 8580, 40653, 4151, 2451, 1936, 292, 2932, 46646, 364, 8580, 2190, 5666, 98252, 6, 5, 2190, 5666, 3523, 91595, 8580, 2205, 7265, 12483, 45223, 8580, 169532, 6655, 7746, 32829, 35189, 33960, 39293, 56169, 2205, 7265, 12483, 15864, 24152, 4151, 112389, 2882, 42572, 75230, 195054, 2190, 5666, 6655, 6, 62073, 12415, 5, 8903, 1211, 6, 5, 20632, 2808, 119055, 12483, 6, 148222, 51963, 119055, 10705, 83182, 149010, 6, 74004, 211169, 6, 186145, 36909, 8580, 7746, 199720, 20315, 95766, 1470, 54260, 1211, 15864, 54574, 6, 4, 42542, 18225, 42493, 220771, 8580, 6, 4, 6150, 137, 36419, 3056, 2882, 3523, 26632, 9221, 32792, 6, 4, 73095, 141353, 6293, 6150, 75230, 220224, 1211, 155, 152, 20033, 6, 238144, 4852, 2882, 1470, 75230, 2702, 292, 6150, 8947, 3056, 42493, 6319, 54260, 1211, 72577, 6093, 210228, 6, 5, 10918, 89930, 2808, 101328, 6, 4, 1470, 119718, 710, 83182, 149010, 9424, 54260, 2882, 2819, 44917, 46244, 115556, 8580, 16175, 39083, 46985, 159696, 1211, 123736, 159212, 54595, 75230, 23269, 6, 74004, 211169, 148932, 6093, 49481, 220224, 1211, 83031, 6, 4, 44917, 46244, 5950, 7611, 119055, 46646, 32899, 16803, 42493, 7511, 2882, 3069, 2808, 364, 54260, 13497, 161459, 9424, 54260, 2882, 6, 5, 9424, 48350, 20961, 119055, 29060, 874, 48340, 8580, 17806, 56052, 2205, 218606, 710, 200651, 17645, 705, 46985, 2702, 46985, 6093, 119055, 29060, 17806, 56052, 152, 7369, 6655, 47833, 33960, 74004, 98833, 6, 62067 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32829, 24244, 26, 1211, 6150, 7369, 47567, 79761, 874, 210326, 220224, 1211, 6, 4, 6150, 7369, 119055, 29060, 140108, 874, 48340, 8580, 220224, 1211, 6, 5, 10918, 89930, 2808, 179917, 18415, 112389, 2882, 60980, 2702, 46985, 152, 4151, 5, 364, 52480, 24621, 1644, 3056, 137765, 220224, 6093, 3131, 212027, 27105, 18640, 6, 4, 3056, 42493, 72577, 1751, 27720, 138194, 12483, 6, 5, 46985, 95564, 120560, 2808, 6, 4, 6235, 506, 4269, 15533, 88917, 6, 5, 15, 10918, 89930, 2808, 4269, 54260, 2882, 1470, 159696, 4484, 6, 4, 60980, 2702, 2702, 147848, 107776, 47833, 16, 6, 5, 46985, 2702, 2702, 147848, 159696, 2442, 3056, 24857, 705, 46985, 2702, 46985, 2808, 54260, 1211, 34654, 94790, 32829, 1211, 6, 5, 46985, 2702, 2702, 147848, 159696, 2648, 186461, 2205, 52059, 3056, 24857, 19024, 40920, 20033, 60980, 2702, 46985, 6, 5, 46985, 2702, 46985, 23829, 6, 4, 180403, 185143, 205026, 9356, 50853, 4151, 4484, 35596, 2205, 52059, 6, 4, 2451, 2789, 292, 46985, 2702, 2702, 147848, 6, 4, 119055, 46646, 220771, 16803, 180403, 230764, 6, 148222, 364, 54260, 13497, 161459, 112389, 2882, 705, 46985, 2702, 2702, 147848, 46646, 47567, 6255, 220771, 8580, 705, 220224, 6093, 1470, 54260, 1211, 1470, 54260, 23405, 43178, 73136, 65482, 6681, 19532, 35596, 7972, 30750, 6, 5, 46985, 95564, 182759, 46244, 119055, 6093, 6655, 6, 79100, 54574, 4269, 54260, 20616, 1211, 6, 4, 6150, 6, 148222, 11211, 17017, 12483, 47567, 8580, 39484, 8580, 54595, 2808, 22518, 37016, 149010, 1211, 163139, 2648, 6, 4, 163139, 2808, 364, 54260, 13497, 705, 46985, 2702, 2702, 147848, 35189, 6, 4, 119055, 46646, 6, 238144, 16803, 6, 4, 6150, 6, 148222, 7369, 2648, 3056, 47833, 33960, 36909, 5594, 21295, 7265, 90090, 850, 6, 5, 2190, 5666, 6255, 7501, 6150, 75230, 2808, 47833, 4838, 69529, 874, 151461, 33960, 185337, 8580, 40653, 1285, 64567, 46646, 149311, 6, 4, 2205, 10676, 42572, 710, 57619, 16932, 207591, 6, 4, 3069, 2808, 138716, 7972, 29060, 6150, 75230, 163139, 2808, 180403, 17806, 152194, 9719, 4667, 47833, 6, 4, 874, 54260, 1211, 55202, 39484, 6255, 1470, 75230, 2702, 6, 62073, 23822, 87442, 6235, 2932, 8580, 6, 148222, 1285, 59461, 21733, 73381, 6, 4, 6255, 39484, 7746, 4892, 35189, 33960, 105235, 21295, 6681, 1470, 54260, 1211, 6, 42180, 7972, 6235, 2932, 8580, 1285, 184069, 31623, 12483, 6, 4, 119055, 46646, 6150, 220224, 2808, 364, 54260, 115518, 47833, 564, 128117, 26394, 1211, 2190, 5666, 4269, 17410, 112690, 1211, 6, 4, 6, 238144, 4852, 2882, 7746, 62808, 1470, 75230, 2702, 6150, 24857, 364, 52480, 13845, 40697, 55202, 6655, 7746, 230764, 33960, 73381, 41595, 6, 5, 46985, 2702, 46985, 2808, 75230, 4269, 26632, 2882, 711, 119055, 46646, 163139, 1644, 126934, 194706, 1470, 75230, 2702, 40026, 159696, 1211, 705, 180403, 6, 238144, 16803, 127731, 4667, 3120, 40026, 6093, 6, 4, 6150, 115556, 8580, 55242, 129891, 33960, 119718, 2808, 41595, 3069, 2808, 21422, 16932, 8580, 6150, 220224, 54595, 20616, 1211, 3120, 124724, 163139, 83182, 149010, 6, 74004, 211169, 6, 4, 1470, 88721, 6150, 6, 148222, 163139, 83182, 149010, 2190, 5666, 25391, 37016, 149010, 177157, 12130, 55242, 129891, 6428, 54260, 23269, 93943, 23829, 448, 2190, 5666, 1470, 75230, 49268, 710, 36909, 93497 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 5, 46985, 2702, 2702, 147848, 2808, 75230, 6, 4, 60980, 2702, 46985, 6, 4, 564, 34533, 180403, 1470, 238144, 104238, 115556, 711, 2205, 124724, 3056, 4269, 48340, 20961, 42493, 2808, 4151, 17190, 12890, 16667, 36909, 905, 20260, 119055, 13845, 104238, 147062, 220224, 1211, 564, 54260, 2808, 1470, 54260, 1211, 88771, 26, 1211, 12415, 94790, 32829, 1211, 6, 4, 2190, 5666, 23165, 3056, 7369, 19024, 564, 54260, 2808, 124724, 44917, 46244, 180403, 6, 238144, 4852, 2882, 1470, 30682, 7511, 2882, 19532, 75230, 2702, 6, 4, 180403, 564, 34533, 43449, 54260, 4113, 4667, 6, 4, 180403, 17806, 152194, 6150, 75230, 2808, 163139, 50853, 2190, 5666, 185143, 53521, 2808, 6, 4, 2190, 5666, 119055, 6093, 16803, 42572, 101503, 905, 24621, 21295, 6150, 180403, 55242, 506, 16803, 230764, 10676, 11211, 24621, 17410, 201601, 149010, 196511, 6, 5, 180403, 47567, 16803, 41064, 9356, 210674, 8580, 6, 148222, 34482, 74004, 30750, 2451, 3912, 292, 35189, 24464, 6, 4, 163139, 2808, 23050, 56052, 7746, 7265, 203175, 6150, 75230, 23269, 22518, 37016, 149010, 1285, 59461, 8580, 2190, 5666, 90536, 10918, 1211, 2190, 5666, 42572, 20961, 119055, 46646, 564, 25207, 211169, 51963, 17741, 850, 2190, 5666, 42572, 75230, 21847, 12483, 220224, 6093, 3523, 26632, 9221, 2451, 7972, 1982, 12483, 9934, 92605, 68558, 6, 4, 2190, 5666, 220224, 123073, 6, 101470, 6, 4, 2190, 5666, 5950, 18415, 115556, 8580, 6, 4, 51328, 40697, 10705, 5666, 114955, 119055, 6093, 8580, 93943, 23829, 448, 2819, 42572, 20961, 119055, 46646, 39484, 8580, 7746, 6, 148222, 51963, 6, 74004, 211169, 54595, 75230, 2808, 42572, 20961, 94114, 12483, 6, 4, 2190, 5666, 39484, 8580, 123736, 7201, 204982, 25207, 146887, 24464, 220224, 6093, 33960, 39293, 26394, 2190, 5666, 24464, 4852, 54260, 6093, 9424, 159696, 4484, 6, 4, 3069, 2808, 119055, 13845, 211169, 18225, 6655, 220224, 2808, 24464, 6, 143409, 10213, 29659, 52480, 63532, 6, 4, 2190, 5927, 144482, 1211, 141107, 9356, 17494, 56052, 36324, 2808, 163139, 83182, 149010, 1211, 6, 98055, 6, 5, 292, 119055, 14081, 126934, 54745, 122165, 2882, 36909, 20961, 29659, 32829, 1211, 6, 4, 6150, 6, 148222, 364, 52480, 17017, 12483, 39484, 8580, 2205, 220224, 2808, 19532, 54260, 1211, 33960, 8903, 115518, 10676, 9719, 40096, 17645, 163177, 23269, 4269, 54260, 16803, 6, 4, 2190, 5666, 39484, 8580, 220224, 2808, 33960, 2865, 115536, 42572, 20961, 19532, 210326, 2050, 24464, 25391, 37016, 6, 4, 2190, 5666, 220224, 47567, 8580, 3523, 12890, 20308, 220771, 8580, 230764, 6, 148222, 101251, 97594, 165354, 119055, 46646, 6, 159696, 79981, 95766, 1470, 25222, 104238, 9424, 54260, 2882, 47833, 17806, 56052, 6, 5, 6255, 119055, 39083, 2882, 124724, 4269, 7682, 35596, 6, 68558, 22444, 36909, 8580, 1470, 54260, 1211, 96302, 16629, 1211, 119055, 46646, 7369, 3056, 34076, 54260, 4667, 3069, 2808, 364, 54260, 13497, 161459, 22518, 37016, 149010, 2442, 112389, 2882, 6, 4, 200795, 40920, 163139, 2808, 7265, 6, 123083, 109995, 6, 4, 7369, 61397, 163139, 2808, 6, 148222, 34072, 10918, 1211, 2190, 5666, 1285, 59461, 8580, 6, 4, 6093, 5332, 36909, 41595, 230764, 6319, 79422, 6, 4, 2190, 5666, 21776, 159696, 2882, 163139, 2808, 4838, 657, 17645, 159696, 2205, 7265, 8580, 60980, 2451, 7916, 200651, 710, 2819, 7265, 45521, 68959, 171433 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7972, 211169, 70695, 159212, 6235, 506, 2882, 7369, 42493, 40653, 6, 4, 2190, 5666, 7369, 68313, 33960, 119718, 69596, 1211, 36324, 2808, 6, 56052, 163139, 83182, 32792, 9356, 36326, 36909, 45619, 3131, 2190, 5666, 22518, 37016, 32792, 6, 4, 6150, 75230, 163139, 69859, 46646, 7369, 3131, 54260, 3111, 23405, 24464, 364, 54260, 13497, 161459, 112389, 2882, 6, 5, 2451, 1936, 292, 159696, 79981, 6, 87311, 48974, 8580, 874, 100575, 220224, 1211, 9424, 48350, 20961, 26, 1211, 42572, 20961, 6319, 54260, 168155, 2819, 7369, 119055, 29060, 220224, 1211, 9213, 107182, 448, 101296, 34533, 29060, 6, 4, 230764, 26, 1211, 6, 448, 2190, 5666, 230764, 4151, 6, 16011, 15908, 6, 5, 46985, 2702, 2702, 147848, 3111, 2808, 6, 4, 137765, 6, 238144, 2702, 6255, 1751, 75230, 1211, 6, 4, 163139, 2808, 364, 8580, 3069, 2808, 6319, 123073, 119718, 8580, 874, 54260, 1211, 1751, 159696, 38054, 6, 5, 46985, 2702, 2702, 49792, 119055, 29060, 7746, 5950, 54260, 1211, 10213, 128750, 54260, 12483, 3120, 10676, 6, 137218, 155045, 6, 5, 180403, 6, 4, 4269, 26632, 2882, 6, 4, 2932, 16011, 10676, 13804, 36909, 8580, 90709, 6, 4, 42493, 6319, 54260, 1211, 42572, 24295, 56169, 123073, 6, 29631, 24621, 6, 4, 42493, 6, 148222, 119055, 35596, 36909, 2884, 1470, 54260, 1211, 46050, 73381, 120467, 15231, 6, 4, 42493, 6319, 54260, 1211, 17806, 59919, 23269, 9424, 29771, 2865, 51723, 6, 4, 42493, 6319, 54260, 1211, 36324, 6093, 23269, 4484, 54260, 146887, 55242, 129891, 101251, 29659, 104274, 3069, 2808, 67826, 79981, 10676, 4269, 54260, 16803, 7972, 211169, 230764, 564, 212484, 6, 4, 2808, 54260, 35189, 7265, 3131, 12483, 7746, 17190, 12890, 196332, 17800, 54260, 2882, 2205, 6, 148222, 42572, 20961, 119718, 29771, 154739, 18415, 136645, 55823, 1211, 6, 4, 30750, 101608, 16175, 75230, 16932, 506, 54260, 2882, 6, 233367, 119055, 6093, 8580, 3120, 220224, 2808, 6, 5, 46985, 2702, 46985, 168892, 292, 1470, 75230, 4667, 6150, 75230, 2808, 152, 148932, 4269, 79671, 16747, 127684, 6655, 6, 61155, 7746, 3069, 2808, 30750, 128750, 54260, 12483, 3120, 220224, 23269, 42572, 20961, 12890, 16747, 17310, 8580, 6, 5, 46985, 2702, 2702, 147848, 29257, 2808, 874, 54260, 16667, 2882, 42572, 20961, 119055, 46646, 3056, 9424, 48350, 20961, 33960, 119718, 69596, 1211, 36324, 2808, 1470, 4944, 69855, 705, 6255, 159696, 1644, 124724, 220771, 8580, 152, 7369, 119055, 158291, 33960, 119718, 448, 6319, 54260, 1211, 119055, 14081, 6293, 42493, 33960, 159696, 1211, 6, 4, 119055, 12483, 22444, 28714, 26, 2442, 96302, 16629, 1211, 119055, 158291, 8580, 6319, 54260, 1211, 27855, 36909, 4113, 32792, 42493, 33960, 159696, 1211, 6, 4, 2190, 5666, 6319, 54260, 1211, 657, 17645, 159696, 42493, 292, 159696, 1211, 220224, 2808, 47567, 8580, 6319, 54260, 1211, 22639, 20315, 1211, 42493, 220224, 1211, 6, 5, 6150, 18225, 163139, 1644, 3069, 2808, 42572, 5594, 25207, 1211, 4838, 36909, 54260, 6093, 147062, 18225, 47833, 21422, 107829, 1211, 167048, 75230, 2808, 2819, 364, 54260, 13497, 119055, 46646, 3056, 22444, 28714, 6681, 26612, 32899, 2702, 174763, 16803, 159696, 6, 4, 2190, 5666, 4892, 35189, 226112, 40920, 93975, 196511, 6, 4, 6150, 22753, 2808, 42542, 130170, 10918, 107829, 1211, 6, 4, 230764, 564, 14081, 54260, 40920, 8580, 172590, 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 ]
[ 142429, 28726, 9356, 36326, 36909, 45619, 3131, 6, 4, 163139, 2808, 9424, 48350, 20961, 705, 292, 29771, 4667, 6, 4, 3069, 2808, 119055, 46646, 6, 147185, 9721, 141847, 8580, 205026, 711, 8947, 42542, 220224, 1211, 6150, 6255, 7508, 54260, 2648, 155261, 64044, 1470, 54260, 1211, 130170, 18415, 110317, 8580, 121193, 91595, 6, 4, 119055, 46646, 1285, 35596, 9424, 48350, 20961, 26, 1211, 7265, 220224, 1211, 72577, 8580, 119718, 710, 79981, 6, 5, 1470, 75230, 711, 2181, 3056, 97483, 16580, 6150, 75230, 2808, 6, 4, 119055, 13845, 6255, 65146, 8580, 42572, 20961, 148932, 119718, 54196, 128364, 226112, 159212, 119055, 6093, 8580, 2819, 44917, 46244, 6255, 7501, 9356, 119718, 2808, 36909, 35596, 292, 42542, 205026, 4484, 54260, 1211, 69529, 3373, 65755, 42493, 7369, 25391, 37016, 8580, 6, 5, 46985, 95564, 69859, 47709, 7508, 54260, 2648, 16803, 7265, 60980, 2702, 46985, 26, 1211, 6, 4, 7369, 3056, 42493, 6319, 54260, 1211, 6, 224636, 6, 4, 2190, 5666, 6, 76776, 2451, 2273, 292, 79761, 874, 54260, 1211, 364, 93047, 6, 4, 220224, 2808, 9356, 506, 20961, 56169, 2190, 5666, 6, 99915, 163177, 23269, 2190, 5666, 202446, 6, 112353, 144754, 10676, 620, 91595, 18640, 4484, 54260, 2882, 2190, 5666, 1470, 128722, 12415, 850, 6, 4, 2190, 5666, 6255, 119055, 13845, 1470, 75230, 4667, 3120, 124724, 7511, 2882, 123736, 7201, 6, 105235, 42023, 6, 5, 46985, 2702, 2702, 147848, 2808, 75230, 1982, 180403, 185143, 1751, 75230, 1211, 6, 4, 97483, 16580, 230764, 26, 1211, 88771, 6, 4, 564, 54260, 2808, 7746, 4269, 42733, 75230, 21295, 6, 5, 6, 5, 6, 5, 159696, 1644, 6255, 124724, 4151, 26394, 506, 79981, 60980, 2702, 46985, 49481, 5332, 131445, 152, 6255, 39484, 1751, 75230, 1211, 135014, 506, 25222, 159696, 1211, 234917, 42572, 54260, 23269, 34654, 94790, 2808, 12130, 6150, 220224, 2808, 47567, 8580, 3069, 2808, 43649, 54260, 1211, 3069, 2808, 20033, 6, 4, 10705, 5666, 33718, 17537, 7265, 20033, 3069, 74004, 51723, 2205, 10676, 163139, 40920, 18640, 8580, 85858, 6, 4, 119055, 46646, 7369, 3056, 36909, 710, 13845, 7265, 3373, 30741, 850, 44917, 46244, 7265, 657, 75230, 1982, 6, 5, 220224, 2808, 119055, 101503, 8580, 230764, 20033, 130170, 7201, 29771, 112595, 13159, 10184, 2648, 76526, 37016, 6, 5, 364, 54260, 50778, 8903, 112389, 2882, 42542, 18225, 2205, 6, 148222, 64890, 149311, 42493, 2808, 144532, 8903, 42023, 2819, 137765, 3056, 6, 148222, 72191, 4113, 3120, 10676, 364, 52480, 13845, 55242, 46244, 22518, 37016, 32792, 6, 4, 35189, 4838, 75230, 2442, 10498, 87442, 7265, 564, 137119, 2190, 5666, 7265, 42572, 54260, 6093, 6, 4, 6150, 75230, 2808, 163139, 2808, 178766, 17645, 56169, 93975, 4269, 15435, 167622, 8580, 6, 5, 132, 10918, 5666, 22492, 138980, 63532, 47833, 16, 6, 5, 46985, 2702, 46985, 119718, 101503, 44917, 46244, 1470, 75230, 2050, 6, 4, 60980, 2702, 202075, 711, 5332, 131445, 107020, 21660, 9221, 6, 20616, 2882, 7265, 25222, 30750, 84349, 47351, 6, 5, 46985, 2702, 2702, 147848, 13159, 2205, 21422, 5666, 22492, 2819, 6255, 39484, 1470, 30682, 2205, 6, 185337, 4151, 4484, 35596, 6, 5, 49920, 22492, 46244, 6, 4, 21422, 5666, 22492, 711, 163139, 506, 8580, 84349, 48904, 126934, 2181, 6150, 75230, 2808, 4269, 18167, 705 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10918, 5666, 22492, 168892, 8248, 4667, 1285, 4667, 6, 4, 119055, 6093, 3056, 24857, 705, 2181, 3056, 42493, 21422, 108020, 6, 5, 46985, 2702, 2702, 147848, 5666, 54260, 1211, 6, 4, 8947, 3056, 60980, 2702, 46985, 6, 5, 292, 7369, 3056, 3120, 178766, 4113, 657, 54260, 2882, 6, 5, 292, 10918, 5666, 22492, 6, 4, 18225, 119055, 101503, 42493, 230764, 20033, 705, 10918, 5666, 22492, 168892, 7501, 55242, 46244, 6, 128750, 54260, 32792, 6, 5, 4838, 4667, 711, 119055, 46646, 42572, 20961, 1470, 54260, 1211, 22518, 37016, 149010, 2451, 4039, 292, 5666, 115536, 364, 54260, 50778, 8903, 3056, 711, 5332, 17525, 107020, 21660, 9221, 3120, 194706, 6655, 4269, 54260, 20616, 1211, 55242, 46244, 119718, 710, 83182, 149010, 7369, 3131, 54260, 3111, 23405, 8580, 6, 5, 46985, 2702, 2702, 147848, 506, 6093, 6, 4, 21422, 5666, 22492, 6, 4, 18225, 119055, 101503, 42493, 230764, 20033, 705, 10918, 5666, 22492, 51723, 119055, 101503, 6, 5, 16742, 6, 4, 60980, 2702, 2702, 49792, 47567, 16803, 49481, 115222, 129891, 90284, 96418, 26, 1211, 1470, 75230, 4667, 2808, 88680, 1982, 54260, 129891, 230764, 178766, 220224, 2882, 6, 5, 6, 5, 6, 5, 46985, 2702, 2702, 147848, 4852, 48340, 7746, 42493, 6, 4, 21422, 5666, 22492, 6, 5, 6, 64260, 6, 119132, 24857, 10339, 26612, 91163, 15350, 2190, 5666, 657, 54260, 2932, 24857, 32829, 35189, 230764, 4151, 564, 167622, 119055, 46646, 23050, 115518, 4151, 40026, 2702, 36609, 16803, 159696, 6, 4, 140108, 6, 159696, 105439, 90284, 202936, 33960, 119718, 448, 33960, 36909, 9416, 1211, 2819, 2190, 5666, 24857, 6, 104274, 89184, 19302, 73381, 3069, 2808, 7265, 119055, 162785, 13342, 2808, 10676, 163825, 119055, 46646, 23050, 115518, 90284, 202936, 364, 75230, 4852, 2819, 2190, 5666, 49481, 10676, 47567, 16803, 180403, 104378, 3069, 2808, 32899, 147921, 12483, 130170, 10676, 10184, 2648, 76526, 37016, 6, 4, 140108, 119055, 119273, 180403, 194706, 25222, 36909, 9416, 1211, 6, 4, 212837, 49792, 2190, 5666, 6, 186145, 1982, 32829, 14088, 3056, 6428, 99766, 705, 10918, 5666, 22492, 4852, 54260, 2808, 55242, 129891, 51963, 140108, 6, 4, 133880, 1470, 54260, 1211, 58573, 13845, 49792, 21422, 108020, 4, 7369, 3056, 25222, 185337, 8580, 3069, 2808, 124724, 3069, 2808, 364, 75230, 39293, 6, 5, 292, 137765, 119055, 13845, 6255, 1470, 159696, 4484, 4269, 54260, 1211, 33960, 104238, 144754, 6, 148222, 6319, 119718, 710, 18415, 32792, 6, 4, 28798, 54260, 2050, 220224, 1211, 6428, 54260, 1211, 27702, 36909, 20616, 1644, 6, 5, 46985, 2702, 2702, 147848, 54595, 180403, 119055, 119273, 120202, 6, 207682, 6, 148222, 19532, 1982, 54260, 2882, 6, 4, 47567, 16803, 180403, 17806, 56052, 3069, 68561, 29771, 112595, 75230, 12483, 2205, 32887, 40096, 6093, 6, 5, 15, 10918, 5666, 22492, 6235, 506, 2882, 1470, 159696, 4484, 16, 6, 5, 2190, 5666, 20033, 6, 4, 60980, 2702, 46985, 6, 4, 141353, 36909, 8580, 7746, 55242, 42023, 7265, 90284, 96418, 26, 1211, 2819, 29434, 54260, 2808, 42572, 63188, 175221, 220224, 23269, 292, 55242, 129891, 1751, 75230, 1211, 10705, 54561, 89184, 2819, 2190, 5666, 564, 54260, 2808, 10676, 7369, 29659, 8580, 9356, 8903, 7511, 207591, 119055, 29060, 7369, 1751, 75230, 1211, 220224, 1211, 2205, 2932, 2808, 112690, 1211, 178766, 6093 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 5, 46985, 95564, 69859, 46646, 182990, 42572, 14081, 4484, 6655, 1470, 30682, 49920, 8300, 32792, 657, 17645, 1982, 2819, 119055, 46646, 564, 54260, 2808, 2451, 4669, 292, 10705, 54561, 6, 238144, 4852, 2882, 1470, 75230, 2702, 1470, 54260, 1211, 101759, 6, 4, 3056, 163139, 2808, 9356, 50853, 90284, 96418, 33718, 506, 2882, 24857, 23269, 2865, 149010, 6, 4, 6150, 75230, 2808, 163139, 2808, 7265, 4074, 3131, 47890, 42572, 20961, 186479, 29771, 211169, 6, 4, 21776, 15949, 49008, 220224, 2808, 2181, 36909, 20961, 1470, 54260, 1211, 204982, 95564, 54260, 2882, 6, 5, 46985, 2702, 2702, 147848, 29257, 2808, 19302, 20616, 2442, 16803, 6, 159696, 2932, 8580, 90284, 202936, 119055, 77188, 6, 4, 2190, 5666, 163139, 2808, 6150, 75230, 2808, 7369, 3056, 10705, 54561, 3523, 54260, 15231, 2932, 6, 5, 20632, 2808, 6, 4, 1751, 75230, 1211, 364, 21106, 30750, 112389, 2882, 6, 4, 2190, 5666, 20033, 6, 141353, 36909, 8580, 6681, 169532, 2808, 75230, 6293, 6, 105235, 42023, 6, 4, 6, 186797, 8580, 10676, 85858, 6, 5, 132, 8903, 506, 12483, 1470, 159696, 4484, 194, 6, 5, 8300, 238144, 16932, 6, 129071, 418, 32887, 126230, 15231, 22492, 6, 5, 96256, 39340, 140108, 12483, 6, 4, 564, 54260, 2808, 90284, 96418, 26, 1211, 2205, 141107, 96986, 6, 4, 107776, 47833, 90284, 96418, 6, 5, 112593, 96418, 12666, 10918, 24244, 711, 9181, 10918, 24244, 711, 6255, 42542, 230764, 6, 148222, 1751, 16932, 8580, 42493, 6, 186145, 36909, 8580, 163139, 2808, 148222, 112389, 2882, 202446, 6, 5, 9181, 10918, 24244, 711, 119055, 46646, 3056, 24857, 124724, 6150, 13845, 40377, 705, 6255, 119718, 710, 21295, 4838, 31807, 1211, 33960, 159696, 1211, 1470, 75230, 4667, 115222, 129891, 6150, 75230, 2808, 620, 29771, 36909, 8580, 6, 5, 6, 5, 6, 5, 20632, 2808, 6, 4, 119055, 46646, 3056, 2648, 46646, 6, 4, 657, 34365, 49792, 705, 20632, 2808, 6, 4, 43649, 20616, 1751, 75230, 1211, 230764, 711, 657, 34365, 49792, 711, 12666, 10918, 24244, 138980, 63532, 47833, 16, 6, 5, 12666, 10918, 24244, 29257, 2808, 185143, 205026, 33960, 15529, 36909, 8580, 705, 112593, 96418, 101328, 6, 4, 21422, 16747, 47833, 564, 54260, 2808, 20033, 2205, 21422, 2865, 46685, 4838, 3944, 47332, 6, 4, 2190, 5666, 6150, 180403, 159696, 16803, 6, 68558, 21422, 107829, 1211, 47567, 16803, 180403, 20033, 220771, 8580, 6, 5, 2451, 4520, 292, 12666, 10918, 24244, 168892, 49920, 6, 5, 112593, 202936, 22492, 2442, 7265, 220224, 1211, 16175, 75230, 2882, 115222, 129891, 20033, 17806, 56052, 3069, 2808, 178766, 9424, 159696, 4484, 6, 5, 2190, 22492, 18167, 42572, 5594, 1644, 3069, 2808, 1470, 30682, 42493, 6319, 54260, 1211, 620, 91595, 18640, 4484, 54260, 2882, 2819, 6255, 119055, 13845, 44917, 46244, 30654, 119718, 1211, 4852, 54260, 1211, 93245, 54705, 364, 104383, 6, 5, 7369, 163139, 1644, 6, 148222, 30109, 75230, 1211, 292, 6, 238144, 2702, 6255, 42493, 3069, 2808, 119055, 29060, 30473, 2808, 40653, 132025, 35189, 16629, 1211, 220224, 1211, 9174, 20961, 34882, 16932, 711, 86296, 6, 148222, 9934, 171433, 23269, 1751, 54260, 13497, 84316, 4944, 12483, 19532, 75230, 2702, 51963, 620, 122978, 8580, 6, 4, 6, 141353, 36909, 8580, 20033, 54745, 16667, 122165, 2882, 17806, 112452, 130170 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 148222, 42572, 21292, 6, 5, 30109, 20616, 129891, 1470, 30682, 705, 55242, 46244, 1751, 54260, 1211, 292, 7265, 10676, 6235, 115518, 20033, 2808, 30682, 1470, 54260, 1211, 33960, 159212, 6, 4, 2190, 5666, 54745, 16667, 122165, 2882, 119055, 12483, 7369, 119055, 29060, 51328, 6, 159696, 79981, 42542, 7369, 10705, 54561, 7265, 9213, 46244, 6, 105235, 115518, 2205, 51963, 178766, 710, 1470, 79422, 6, 5, 17824, 75230, 95564, 54260, 2882, 9721, 54260, 23405, 2882, 13342, 2808, 620, 91595, 18640, 4484, 54260, 2882, 6, 5, 6, 238144, 1644, 6255, 39484, 2205, 6, 18167, 44438, 2702, 13845, 3373, 29771, 159696, 16803, 6, 4, 65146, 168892, 220771, 8580, 3120, 9424, 48350, 20961, 26, 1211, 10676, 88771, 6, 4, 6255, 39484, 6319, 54260, 1211, 15864, 54574, 2205, 1470, 30682, 7511, 2882, 9356, 46685, 20911, 6, 4, 6150, 40653, 4838, 158504, 26, 1644, 77187, 40653, 4838, 61487, 77525, 26, 28726, 47567, 6093, 1470, 159696, 4484, 4269, 54260, 1211, 3120, 10676, 88771, 6, 5, 51328, 6, 148222, 32054, 129071, 7682, 2808, 17190, 46244, 41595, 194706, 6, 4, 54595, 6, 148222, 364, 65755, 6, 4, 42572, 20961, 3523, 54260, 4113, 4944, 61722, 1644, 53464, 34557, 93497, 6, 4, 3056, 6150, 75230, 2808, 163139, 2808, 6, 21106, 54260, 16932, 152, 86296, 18225, 6319, 120749, 230764, 1470, 30682, 292, 43649, 20616, 2882, 18225, 3069, 2808, 1470, 30682, 144754, 10676, 88721, 6, 4, 6150, 18225, 6235, 506, 2882, 1751, 75230, 1211, 19532, 75230, 6293, 6, 4, 6319, 123073, 119718, 15907, 18225, 7746, 1470, 75230, 2702, 13342, 2808, 1470, 30682, 7265, 6, 148222, 46654, 54260, 26394, 2702, 6, 4, 2190, 5666, 14856, 364, 54260, 47332, 62113, 194175, 230764, 6, 148222, 1470, 75230, 8903, 1211, 13342, 2050, 364, 52480, 13845, 2190, 5666, 18225, 42572, 20961, 7544, 10705, 16803, 1751, 75230, 1211, 6, 148222, 33960, 2865, 54260, 23269, 48706, 184069, 710, 13159, 6, 4, 103854, 119055, 13845, 107581, 7369, 3056, 3069, 2808, 4151, 364, 75230, 4667, 4269, 100436, 56052, 6, 5, 24857, 23050, 2865, 149010, 42542, 144754, 9424, 48350, 20961, 26, 1211, 1470, 75230, 4667, 220224, 1211, 6, 5, 19024, 68550, 147062, 18225, 6, 128750, 63188, 46601, 4113, 107581, 129891, 119055, 46646, 65939, 16932, 6319, 54260, 1211, 220224, 1211, 6, 5, 88771, 6, 4, 137765, 6655, 7369, 42493, 6150, 75230, 2808, 180141, 42572, 54260, 16747, 2648, 46646, 42572, 14081, 4484, 6, 4, 51328, 1157, 2865, 62808, 9356, 210674, 8580, 6, 4, 6150, 220224, 1211, 119055, 77188, 119055, 29060, 17824, 13159, 9221, 159696, 12415, 1211, 6, 4, 3069, 2808, 199145, 6093, 6, 34882, 57277, 159696, 7369, 42542, 17824, 54260, 115518, 6, 4, 4151, 14088, 6, 141353, 36909, 8580, 20033, 2808, 75230, 6293, 1470, 30682, 17806, 165354, 6, 4, 6150, 75230, 2808, 163139, 2808, 230764, 10676, 1470, 54260, 24464, 1470, 54260, 1211, 620, 112711, 5666, 152, 170098, 44917, 46244, 3120, 10676, 19532, 75230, 2702, 23050, 42023, 10676, 46654, 29766, 119055, 29060, 7369, 124724, 1751, 75230, 1211, 6, 112294, 506, 15533, 4484, 220224, 1211, 6, 4, 18895, 18630, 220224, 1211, 620, 91595, 6093, 44917, 29631, 6, 4, 6, 159696, 79981, 20033, 97483, 16580, 10213, 115398, 35189, 506, 48340, 710, 49008, 10676, 620, 122978, 2205, 220224, 1211, 1751, 39083, 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 ]
[ 4944, 7611, 132, 12666, 10918, 24244, 107776, 1470, 16, 2451, 5606, 292, 12666, 10918, 24244, 168892, 39484, 1751, 75230, 1211, 6, 68558, 33960, 10918, 107829, 1211, 564, 54260, 2808, 124724, 2205, 21422, 2865, 46685, 4838, 3944, 40920, 6, 4, 10705, 5666, 86296, 6255, 39484, 33960, 46464, 40920, 10676, 30109, 4113, 56052, 6, 4, 39484, 6255, 33960, 36909, 9416, 1211, 230764, 10676, 36909, 4113, 57619, 16932, 1285, 4113, 39293, 9721, 32097, 152, 1470, 54260, 35189, 6255, 39484, 7746, 57906, 54260, 98833, 13804, 36909, 8580, 4269, 88945, 20260, 168892, 72577, 6150, 6255, 39484, 22753, 2808, 42493, 9356, 46685, 20911, 6, 5, 112593, 96418, 8903, 506, 6, 4, 657, 54260, 2932, 7746, 49481, 6, 79100, 54574, 13804, 36909, 8580, 292, 8947, 3056, 49481, 42493, 2882, 64567, 6, 5, 6, 87311, 48974, 8580, 3056, 42493, 217284, 24244, 874, 23173, 97634, 705, 12666, 10918, 14088, 168892, 6, 238144, 2702, 42493, 6, 5, 112593, 96418, 97634, 6, 4, 6, 46677, 1982, 4838, 6, 98055, 2205, 75839, 2190, 5666, 220771, 20033, 6, 5, 12666, 10918, 24244, 25491, 50853, 6, 5, 112593, 96418, 17645, 56169, 564, 54260, 2808, 4151, 1751, 54260, 1211, 24464, 6, 148222, 58573, 17645, 29766, 12483, 6, 4, 119055, 46646, 1751, 119718, 13456, 26394, 1211, 95766, 4838, 75230, 2442, 6, 4, 3056, 17824, 23174, 3069, 2808, 657, 54260, 76632, 1211, 6, 5, 15, 6093, 6, 73381, 41595, 6, 148222, 564, 144295, 6293, 2190, 5666, 657, 54260, 35596, 16, 37271, 112593, 96418, 6, 4, 119055, 46646, 620, 29771, 36909, 16803, 180403, 711, 9174, 26612, 7201, 7746, 230764, 24464, 10676, 620, 29771, 6293, 6, 4, 7369, 39340, 42023, 7746, 6, 4, 6, 62073, 93449, 7746, 6150, 22444, 28714, 147062, 6, 5, 6, 5, 6, 5, 364, 54260, 1982, 230764, 364, 75230, 4667, 6428, 54260, 1211, 50931, 6, 4, 15864, 4667, 5332, 131445, 1470, 54260, 1211, 22639, 2648, 55049, 6, 4, 7508, 174121, 159696, 711, 292, 119055, 46646, 620, 29771, 36909, 126934, 6, 4, 112593, 202936, 705, 9174, 71577, 7746, 230764, 6, 20971, 6150, 13845, 15949, 19532, 75230, 2702, 22444, 36909, 8580, 6235, 36909, 8580, 6255, 123736, 159212, 6, 5, 62073, 93449, 7746, 6150, 22444, 28714, 147062, 6, 5, 6, 5, 6, 5, 17288, 104238, 6428, 54260, 1211, 52059, 6, 4, 6, 119132, 1470, 54260, 1211, 6, 4, 6, 74004, 54260, 2865, 89991, 6, 20971, 18225, 22444, 159212, 205026, 3069, 2808, 17741, 108968, 6, 4, 1470, 75230, 6, 4, 22444, 28714, 711, 124724, 220771, 6255, 2648, 46646, 3069, 2808, 6, 4, 2190, 5666, 1470, 75230, 1982, 20033, 119055, 29060, 1470, 75230, 2702, 17806, 56052, 1285, 4667, 874, 89991, 220224, 1211, 6, 4, 6, 159696, 126934, 150839, 158291, 8580, 187055, 6, 4, 119055, 46646, 180403, 185143, 33960, 30750, 146887, 6, 4, 187055, 119055, 46646, 8947, 3056, 190386, 18167, 2205, 90284, 96418, 90709, 711, 2451, 1112, 292, 12666, 10918, 14088, 35189, 42572, 24295, 36909, 4113, 57619, 16932, 874, 77188, 107776, 6, 68558, 6, 5, 132, 51723, 364, 77188, 5332, 131445, 1470, 54260, 1211, 6319, 71804, 7201, 16, 6, 5, 112593, 96418, 3111, 2808, 6, 4, 72577, 6, 5, 6235, 506, 73784, 16175, 75230, 6093, 107020, 21660, 9221, 6319, 71804, 23741, 140108, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 132, 12666, 10918, 24244, 6235, 506, 2882, 1470, 159696, 4484, 16, 6255, 7501, 42493, 6, 62073, 17410, 36909, 8580, 24464, 4151, 9424, 54260, 2882, 6, 4, 119055, 46646, 46985, 2702, 2702, 49792, 6655, 205026, 6, 68558, 33960, 119718, 2808, 36909, 41595, 230764, 9424, 48350, 20961, 26, 1211, 152, 6, 148222, 182990, 9424, 54260, 2882, 36909, 2884, 10676, 7369, 29659, 8580, 84349, 17537, 78278, 10676, 28798, 54260, 2050, 220224, 1211, 10676, 22518, 37016, 7972, 115518, 85858, 3056, 54595, 75230, 2808, 163139, 2808, 4838, 6, 56052, 207748, 105235, 1644, 17310, 6, 4, 6150, 75230, 2808, 163139, 2808, 4838, 82563, 2050, 7265, 4838, 3944, 23173, 46598, 2819, 127731, 202446, 4838, 3523, 83586, 7265, 4838, 16175, 75230, 96986, 110304, 1470, 54260, 1211, 3069, 43590, 6, 4, 2190, 5666, 1470, 54260, 1211, 115556, 2808, 119718, 23829, 163139, 2808, 1470, 54260, 1211, 4269, 171433, 26394, 874, 12666, 14325, 42572, 710, 13845, 7544, 40096, 17645, 163177, 29171, 13159, 1157, 109995, 1470, 30682, 42493, 15529, 506, 12483, 6, 5, 15, 12666, 10918, 14088, 107776, 47833, 16, 6, 5, 12666, 10918, 24244, 2648, 101503, 43649, 20616, 2882, 6428, 54260, 1211, 90284, 35189, 60980, 2702, 2702, 147848, 564, 54260, 2808, 4151, 78104, 6093, 6, 4, 7369, 119718, 15350, 7508, 54260, 122623, 7265, 124724, 6, 5, 112593, 96418, 6093, 5950, 54260, 1211, 705, 12666, 10918, 24244, 5666, 54260, 1211, 6, 4, 42493, 5950, 54260, 1211, 7265, 1470, 30682, 3056, 49481, 19024, 115556, 8580, 6, 5, 112593, 96418, 159696, 2442, 55242, 129891, 220224, 2808, 705, 180403, 6319, 172398, 2882, 220224, 2808, 42493, 705, 12666, 10918, 24244, 5666, 54260, 1211, 6, 4, 6255, 6, 238144, 2702, 42493, 152, 220224, 2808, 6235, 42023, 183519, 4269, 9221, 93449, 6, 148222, 11211, 21338, 12483, 2808, 88680, 6, 148222, 1470, 75230, 6093, 8580, 6, 4, 2190, 5666, 6, 148222, 88721, 26, 6093, 55242, 129891, 42572, 159870, 87442, 78278, 17288, 104238, 506, 21106, 1982, 6, 4, 6150, 14856, 42542, 220224, 2808, 564, 95766, 185527, 42493, 29434, 39340, 129891, 6, 5, 2451, 6478, 292, 112593, 96418, 170098, 8580, 220224, 2808, 19532, 54260, 1211, 6235, 42023, 6, 5, 15, 12666, 10918, 14088, 6235, 506, 2882, 1470, 159696, 4484, 16, 2181, 3056, 4838, 88721, 148222, 7544, 26632, 17645, 163177, 29171, 46598, 6, 5, 123736, 4667, 6, 4, 7544, 26632, 17645, 163177, 711, 2205, 4838, 42572, 171127, 123073, 112389, 153222, 2865, 126934, 7746, 230764, 54745, 112452, 6428, 54260, 1211, 22518, 37016, 7972, 211169, 1751, 16932, 8580, 6, 4, 119055, 46646, 54745, 16667, 122165, 2882, 68313, 42572, 20961, 4269, 91275, 448, 2190, 5666, 4269, 59094, 12130, 24857, 10213, 80885, 6, 128750, 54260, 506, 54260, 2882, 6, 5, 1470, 75230, 1982, 6150, 75230, 6, 4, 6, 238144, 4852, 36326, 119055, 119273, 180403, 6235, 36909, 710, 49008, 564, 54260, 2808, 169532, 1470, 54260, 1211, 9356, 506, 13845, 15231, 207591, 6, 4, 6150, 180403, 47567, 16803, 25491, 506, 158291, 8580, 6428, 54260, 1211, 163139, 83182, 149010, 72308, 506, 705, 9213, 7746, 141107, 42493, 152, 6428, 37016, 1470, 30682, 13342, 2808, 7265, 4838, 6, 195054, 91595, 6093, 2190, 5666, 7265, 4838, 184057, 29111, 26, 28726, 2819, 1470, 75230, 1982, 180403, 6, 99176, 4944, 219928, 14088, 6235, 42023, 7265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4838, 3523, 26632, 9221, 7972, 211169, 6, 98055, 119055, 29060, 1285, 4667, 44064, 24857, 42572, 710, 57619, 16932, 207591, 36909, 2884, 6, 170895, 1470, 75230, 4667, 42493, 874, 89991, 220224, 1211, 24464, 6319, 54260, 1211, 60631, 2648, 711, 132, 17494, 2865, 51723, 47833, 60980, 2702, 2702, 147848, 6, 4, 60980, 2702, 46985, 6, 4, 212837, 147848, 6, 4, 21422, 5666, 22492, 6, 4, 107182, 13845, 49792, 2190, 16747, 6, 186145, 1982, 32829, 24244, 16, 6, 5, 46985, 2702, 2702, 147848, 26612, 72577, 874, 48340, 8580, 6, 4, 90284, 96418, 711, 20033, 39484, 8580, 1285, 4667, 230764, 33960, 159696, 20911, 6, 4, 85858, 12483, 220224, 1211, 6, 4, 20033, 55242, 129891, 23165, 42493, 4269, 100436, 56052, 2205, 4151, 9424, 54260, 2882, 705, 112593, 96418, 168892, 7501, 4838, 182990, 112389, 2882, 42493, 6, 62073, 17410, 36909, 8580, 6, 4, 8947, 3056, 1751, 75230, 1211, 4838, 97816, 54595, 6255, 7501, 230764, 6, 62073, 96256, 129891, 6, 5, 60980, 2702, 2702, 147848, 6, 4, 6, 148222, 51963, 115556, 8580, 119055, 46646, 55242, 129891, 2932, 100436, 56052, 7265, 124724, 6, 4, 55242, 129891, 3120, 874, 54260, 23269, 10213, 46985, 194734, 705, 46985, 2702, 2702, 147848, 101328, 6, 4, 180403, 6319, 172398, 2882, 220224, 2808, 51963, 6, 5, 19024, 3056, 42493, 2808, 1470, 54260, 1211, 115556, 42493, 159696, 1644, 123131, 47567, 1285, 4667, 42493, 5332, 46244, 32792, 202446, 8580, 6, 5, 2190, 5666, 4838, 6, 148222, 51963, 6, 4, 78278, 2808, 54260, 119132, 6, 4, 163139, 1644, 12483, 6150, 180403, 47567, 16803, 6, 159696, 2932, 8580, 7746, 39484, 8580, 172590, 874, 54260, 3111, 23405, 6, 4, 6150, 75230, 2808, 119718, 23829, 148932, 42572, 54260, 59461, 34654, 94790, 32829, 1211, 6655, 6, 159696, 2932, 8580, 124724, 6, 5, 24857, 3056, 292, 6, 186145, 1982, 32829, 24244, 6, 5, 112593, 96418, 168892, 6, 128750, 54260, 2808, 7746, 7265, 1470, 30682, 6, 5, 2451, 4828, 292, 46985, 2702, 2702, 147848, 35189, 3056, 292, 212837, 147848, 90284, 96418, 6, 5, 112593, 96418, 168892, 6, 128750, 54260, 2808, 7746, 7265, 1470, 30682, 1470, 75230, 4667, 6, 5, 46985, 2702, 2702, 147848, 35189, 3056, 292, 60980, 2702, 46985, 6, 4, 6, 64260, 3056, 292, 21422, 5666, 22492, 4, 4151, 3056, 292, 21422, 108020, 6, 5, 112593, 96418, 144754, 220224, 2808, 51963, 6, 128750, 54260, 2808, 6255, 7746, 55242, 46244, 6, 5, 152036, 20033, 6255, 6, 94114, 96256, 54260, 4667, 292, 119055, 46646, 6681, 6, 238144, 4944, 186797, 4113, 19024, 60639, 6, 105235, 42023, 9424, 119718, 40697, 1211, 10676, 112389, 2882, 2451, 31249, 175722, 2205, 1470, 54260, 89184, 1470, 75230, 2932, 8580, 705, 46985, 2702, 2702, 147848, 29257, 2808, 119055, 119273, 20033, 7369, 1644, 75230, 115518, 124724, 3069, 2808, 220771, 8580, 9424, 238144, 2808, 119055, 77188, 9221, 705, 132, 24621, 24377, 38596, 15907, 7746, 16, 6, 5, 20315, 10918, 24244, 64260, 6, 4, 6, 93704, 29771, 3056, 117753, 2819, 8947, 3056, 1751, 75230, 1211, 9356, 50853, 169532, 6, 5, 46985, 95564, 112711, 54260, 1211, 6, 4, 212837, 49792, 6, 5, 10918, 5666, 22492, 168892, 220771, 292, 6150, 6, 101328, 2819, 2205, 6, 148222, 195007, 76216, 4113, 32899, 149311, 119055, 46646, 230764, 10676, 87637, 17017, 42542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18225, 4151, 39340, 129891, 6150, 73095, 3056, 1751, 75230, 1211, 9356, 50853, 169532, 6, 5, 46985, 95564, 54595, 54260, 2882, 7746, 874, 56401, 6, 4, 6150, 9213, 46244, 364, 112711, 564, 54260, 20315, 4838, 186421, 33960, 192061, 2819, 6, 64260, 127731, 6, 4, 163139, 87637, 12483, 6255, 39484, 33960, 119718, 710, 109995, 7265, 4151, 138716, 4852, 6, 4, 6235, 506, 2882, 230764, 1285, 54595, 171433, 23269, 1470, 75230, 1982, 14856, 163139, 1644, 72577, 46601, 4113, 15949, 129891, 6, 148222, 9424, 54260, 2882, 24464, 10676, 58826, 46244, 4, 564, 54260, 98833, 23829, 7746, 137765, 230764, 139939, 220224, 2882, 2819, 2190, 5666, 2205, 9424, 238144, 2808, 73880, 159190, 292, 119055, 29060, 2451, 6260, 292, 30473, 2808, 7746, 230764, 364, 54260, 115518, 230764, 6, 93350, 6, 4, 2190, 5666, 6, 148222, 200795, 167048, 21106, 12483, 3120, 10676, 2882, 64567, 6, 159696, 79981, 7746, 140108, 9356, 238144, 109995, 152, 4151, 88771, 26, 6093, 117753, 292, 3056, 6, 62067, 39340, 2932, 8580, 10705, 54561, 6, 4, 2205, 4151, 1470, 54260, 2932, 114436, 220224, 2882, 163139, 2808, 6, 148222, 218606, 710, 200651, 17645, 6, 5, 112593, 96418, 25222, 47332, 20033, 1470, 54260, 109985, 238144, 2702, 6, 4, 148932, 9356, 46464, 83182, 6, 148222, 364, 104274, 6, 5, 46985, 2702, 2702, 147848, 5, 10705, 5666, 20033, 6, 159696, 79981, 7746, 128364, 159696, 12415, 1211, 6, 4, 6150, 20033, 47567, 8580, 28798, 54260, 2050, 220224, 1211, 119055, 46646, 62808, 39484, 8580, 564, 54260, 2808, 7746, 4269, 42733, 75230, 13845, 2882, 6, 5, 112593, 96418, 1211, 5666, 54260, 1211, 6, 4, 128364, 159696, 12415, 1211, 147062, 18225, 7746, 42493, 6, 5, 6150, 6, 148222, 6, 95494, 152848, 3056, 42572, 2808, 55451, 54561, 89184, 1470, 75230, 2932, 8580, 6, 4, 2190, 5666, 6, 148222, 657, 54260, 20315, 1211, 3120, 4151, 101251, 97594, 144581, 104238, 9424, 54260, 2882, 657, 54260, 12483, 1982, 54260, 2808, 194706, 2205, 68889, 10918, 1211, 6, 4, 119055, 29060, 2181, 194706, 7369, 159696, 112452, 3069, 2808, 4151, 19532, 1982, 54260, 2882, 6, 5, 6, 5, 6, 5, 68558, 4838, 102812, 506, 6, 5, 657, 29771, 2865, 62808, 7746, 21422, 2808, 6235, 42023, 148932, 6093, 3069, 2808, 7746, 72649, 54260, 2050, 6, 4, 194706, 18167, 4892, 35189, 657, 54260, 2932, 8580, 123736, 7201, 22444, 506, 8580, 6, 5, 6255, 7501, 42572, 20961, 162926, 2882, 6150, 8947, 3056, 1751, 75230, 1211, 127731, 6235, 110317, 42572, 54260, 6093, 2205, 194706, 25207, 49920, 89930, 6, 4, 20033, 115222, 129891, 47833, 21422, 107829, 1211, 44064, 2932, 20961, 6319, 186955, 90536, 15231, 8903, 2190, 5666, 40653, 33960, 25391, 34882, 71512, 115556, 8580, 6, 4, 7265, 178766, 29659, 2808, 24152, 54260, 2882, 115222, 129891, 20033, 44064, 10676, 6, 238144, 75578, 16629, 1211, 620, 26612, 156325, 4269, 54260, 16803, 1470, 75230, 4667, 29659, 20961, 112452, 6, 4, 292, 364, 54260, 13497, 119055, 46646, 49481, 6681, 7369, 159696, 4484, 17310, 8580, 6, 141353, 36909, 8580, 20033, 73784, 9719, 26632, 17645, 163177, 39484, 8580, 705, 20033, 55242, 129891, 6, 17645, 110317, 7369, 159696, 20911, 6, 4, 119055, 46646, 6681, 7369, 5047, 141353, 36909, 8580, 20033, 6, 4, 133880, 119055, 77188, 9221, 705, 119055, 13845, 107581, 20033, 6, 4, 34654 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 94790, 112711, 13159, 6, 4, 39484, 8580, 2808, 54260, 59461, 7265, 10676, 1470, 83182, 8580, 4269, 9221, 16870, 2882, 2819, 119055, 46646, 6681, 179404, 6, 141353, 36909, 8580, 20033, 705, 54595, 20033, 39484, 8580, 1470, 54260, 1211, 15864, 54574, 564, 54260, 2808, 7746, 4269, 42733, 75230, 13845, 2882, 6, 4, 77187, 17824, 75230, 115518, 3069, 2808, 10705, 54561, 6093, 9424, 159696, 4484, 6, 4, 77187, 123736, 7201, 36909, 6093, 8580, 7265, 657, 54260, 1982, 2190, 5666, 55242, 1644, 28726, 6, 5, 3523, 54260, 1211, 6, 4, 1157, 109995, 4852, 18167, 1751, 159696, 12415, 1211, 6, 148222, 34076, 36484, 6, 4, 2190, 5666, 6, 148222, 40653, 33960, 25391, 34882, 71512, 6, 4, 6, 148222, 9424, 238144, 2808, 136876, 26, 196332, 6, 4, 2190, 5666, 6, 148222, 5950, 18415, 115556, 8580, 119055, 46646, 39484, 8580, 42493, 6319, 54260, 1211, 90709, 2190, 5666, 7511, 2882, 6319, 54260, 1211, 6, 101328, 46244, 8580, 6, 4, 19532, 6093, 51328, 160238, 28726, 115556, 8580, 6, 5, 20033, 6, 159696, 79981, 6, 68558, 6319, 54260, 1211, 225215, 506, 1470, 75230, 4667, 42493, 6, 159696, 79981, 42572, 20961, 42572, 28726, 112452, 178766, 1751, 54260, 119132, 46654, 47351, 6, 5, 148932, 226112, 7201, 36909, 8580, 564, 137119, 3120, 194706, 25207, 6, 29766, 6093, 8580, 119055, 29060, 220224, 1211, 22753, 16747, 18640, 6, 4, 1470, 75230, 1982, 20033, 6, 159696, 79981, 2451, 5896, 292, 14857, 5927, 220224, 1211, 44064, 4838, 501, 5, 516, 31, 20585, 3120, 178766, 6, 118025, 6, 5, 46985, 2702, 2702, 49792, 62808, 119055, 39083, 146887, 7746, 9356, 141353, 159212, 4151, 42572, 25207, 8903, 1211, 6, 4, 119055, 46646, 42572, 20961, 4838, 4269, 15435, 167622, 192061, 21422, 89930, 2808, 6, 159696, 2932, 8580, 10676, 705, 6255, 21776, 211169, 6150, 7369, 119055, 29060, 194706, 180141, 10705, 13497, 6093, 202446, 8580, 1468, 46985, 2702, 46985, 62808, 6, 159696, 79981, 1470, 30682, 42493, 123736, 7201, 1157, 109995, 6, 5, 8903, 238144, 5666, 32792, 6, 5, 10918, 5666, 22492, 107182, 13845, 147848, 51723, 6, 94741, 63020, 6, 148222, 196511, 72577, 564, 34882, 44478, 8580, 6, 5, 220224, 23269, 22753, 1644, 75578, 23269, 68889, 159696, 79981, 3069, 2808, 194706, 6, 36723, 564, 54260, 8903, 1211, 24857, 6319, 54574, 26, 36326, 874, 54260, 3111, 23405, 6, 4, 44458, 6, 148222, 13515, 66362, 36909, 2884, 42572, 710, 13845, 115556, 8580, 51963, 6, 159696, 79981, 220771, 8580, 152, 6150, 10676, 64890, 112690, 1211, 32054, 29771, 42180, 2702, 2702, 192061, 21422, 89930, 2808, 26, 16667, 9174, 66362, 33960, 36909, 710, 77188, 2819, 230764, 178766, 4231, 109226, 83031, 2190, 5666, 230764, 10705, 54561, 6093, 46654, 29060, 8580, 119055, 29060, 18225, 64890, 46244, 42493, 17806, 112452, 6, 4, 220224, 1211, 163139, 40920, 18640, 4484, 54260, 2882, 6, 159696, 200651, 2702, 10213, 3131, 54260, 49008, 6, 5, 112593, 96418, 5666, 54260, 1211, 6, 4, 20033, 6, 159696, 79981, 42572, 20961, 1470, 30682, 10676, 64769, 8580, 42493, 874, 138763, 220224, 1211, 6, 4, 7369, 159696, 2882, 42493, 3069, 2808, 6, 105235, 42023, 3069, 2808, 6319, 54260, 1211, 69529, 85858, 6, 4, 119055, 46646, 87680, 39484, 8580, 2808, 30682, 207748, 2932, 17171, 56052, 6, 4, 42493, 7369, 6, 5, 46985, 2702, 2702, 147848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3111, 2808, 6, 4, 6, 159696, 79981, 20033, 1470, 30682, 40653, 1157, 109995, 6, 5, 2451, 2678, 292, 20961, 68561, 119055, 20961, 36909, 8580, 6, 4, 2190, 5666, 6319, 54260, 1211, 1470, 83182, 8580, 42493, 6, 68558, 34654, 6093, 8580, 705, 46985, 2702, 2702, 49792, 29257, 2808, 185143, 97483, 16580, 220224, 6093, 34076, 54260, 4667, 33960, 128750, 35596, 6, 4, 212837, 147848, 6, 4, 6255, 220771, 119718, 23829, 9356, 50853, 6150, 18225, 119055, 29060, 9424, 48350, 20961, 26, 1211, 16175, 54260, 96986, 6, 4, 3056, 42493, 34076, 54260, 4667, 6, 4, 6150, 18225, 74004, 54574, 874, 23173, 149211, 84577, 171433, 147848, 26, 1211, 6, 4, 6, 26394, 74004, 32206, 57906, 16011, 146887, 6, 4, 1157, 109995, 17190, 115518, 6, 4, 6255, 25222, 7916, 12483, 2205, 1470, 30682, 6, 4, 6150, 7369, 2205, 178766, 9221, 4838, 564, 137119, 161459, 42572, 54260, 16747, 6, 5, 9213, 506, 68959, 158291, 163139, 149311, 6150, 7369, 119055, 29060, 44917, 46244, 6, 159696, 79981, 9356, 238144, 109995, 51963, 220224, 23269, 7265, 79981, 6, 4, 165354, 7369, 194706, 6, 68558, 15864, 211169, 10184, 13845, 6, 88660, 115245, 25207, 87637, 207591, 6, 4, 2190, 5666, 1470, 75230, 1982, 20033, 163139, 79981, 2648, 46646, 620, 91595, 18640, 4484, 54260, 2882, 42572, 65606, 6093, 9356, 119718, 69596, 49008, 6, 4, 6, 170098, 3069, 4852, 165050, 7265, 9424, 48350, 20961, 26, 1211, 36909, 21106, 12483, 6, 62067, 32829, 14088, 711, 112593, 96418, 5666, 54260, 1211, 6150, 75230, 2808, 119055, 29060, 1751, 75230, 1211, 220224, 1211, 55242, 46244, 4838, 564, 137119, 161459, 85858, 292, 6150, 18225, 23269, 63532, 183519, 10676, 218606, 6293, 6, 4, 2190, 5666, 18225, 364, 125942, 32611, 6, 148222, 1470, 79422, 6, 4, 3069, 119055, 46646, 141353, 6293, 18225, 49481, 220224, 1211, 1470, 54260, 1211, 1470, 4944, 69855, 230764, 26, 1211, 16175, 75230, 146887, 6, 75290, 91163, 705, 6, 62067, 32829, 24244, 26, 1211, 141353, 6293, 18225, 42493, 68889, 25222, 129891, 6, 4, 164406, 18225, 47567, 194706, 42493, 6, 68558, 22444, 36909, 8580, 292, 139001, 448, 6, 4, 20033, 9721, 141847, 8580, 199250, 4838, 30109, 18406, 6, 5, 6, 170098, 6, 148222, 182990, 6, 159696, 21295, 163139, 149311, 6, 4, 54595, 20033, 55242, 129891, 6235, 129891, 6, 26394, 74004, 32206, 3523, 54260, 16803, 2858, 26394, 43317, 230764, 6, 62073, 96256, 129891, 6, 4, 2190, 5666, 2205, 35189, 3523, 83586, 3120, 1470, 54260, 1211, 115556, 8580, 3056, 6319, 54260, 1211, 564, 137119, 42493, 2808, 6, 5, 119055, 12483, 20033, 47567, 8580, 26394, 4852, 20961, 26, 1211, 42493, 68889, 25222, 49008, 6, 4, 119055, 158291, 8580, 20033, 4269, 7682, 35596, 7265, 220224, 1211, 4269, 54260, 16803, 33960, 159696, 21295, 93975, 1211, 711, 44917, 46244, 7369, 6, 4, 1470, 75230, 6, 238144, 2808, 711, 292, 6, 238144, 1644, 7369, 6655, 172590, 4269, 54260, 16803, 65146, 6093, 7265, 10676, 564, 137119, 18640, 8580, 16175, 75230, 2882, 204982, 54260, 2882, 119055, 6093, 8580, 6, 5, 1157, 62808, 7746, 9356, 85465, 29025, 8580, 6, 4, 10705, 5666, 1157, 62808, 68889, 25222, 129891, 6, 4, 44917, 46244, 47833, 3496, 13159, 6, 4, 6150, 75230, 2808, 163139, 2808, 4838, 30109, 18406, 6, 4, 119055, 46646, 51723, 9721, 23174, 2882 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6681, 4269, 26632, 6, 4, 20033, 6, 159696, 79981, 1470, 30682, 230764, 1751, 46545, 32792, 42493, 3069, 20961, 54260, 149311, 6, 4, 6150, 75230, 2808, 163139, 2808, 1470, 54260, 1211, 16175, 75230, 16932, 110304, 6, 4, 119055, 46646, 18225, 119055, 20961, 159212, 6681, 364, 23174, 9221, 125897, 11211, 16747, 6, 4, 220224, 2808, 47567, 8580, 1470, 30682, 230764, 42572, 25207, 149311, 6, 4, 1157, 62808, 7746, 9356, 8903, 42023, 230764, 54595, 2808, 185527, 6, 4, 6150, 115556, 8580, 47567, 8580, 220771, 8580, 6, 4, 6150, 24857, 119055, 46646, 20033, 39484, 8580, 123736, 67854, 710, 207682, 3056, 220224, 6093, 198754, 2190, 5666, 3523, 54260, 15231, 2932, 6, 4, 42493, 9174, 55687, 620, 91595, 6, 4, 18225, 119055, 29060, 10705, 54561, 42493, 6, 68558, 22444, 156325, 22444, 8300, 36484, 77187, 4269, 59094, 12130, 292, 51328, 21776, 16932, 2702, 119055, 46646, 39484, 8580, 2865, 89991, 6235, 159696, 1211, 42572, 710, 13845, 115556, 8580, 6, 4, 67882, 24152, 84577, 32829, 24244, 705, 6, 5, 6, 5, 6, 5, 6, 210674, 64890, 46244, 2451, 7621, 292, 7511, 2882, 6, 159696, 2932, 8580, 1470, 30682, 6, 4, 7369, 3056, 42493, 6319, 54260, 1211, 33960, 36909, 20616, 2442, 149010, 2442, 115556, 6, 4, 1470, 99915, 2882, 119718, 23829, 9424, 48350, 20961, 26, 2702, 364, 104274, 3056, 42493, 22518, 37016, 32792, 6, 4, 119055, 12483, 20033, 6, 159696, 79981, 1470, 30682, 1285, 34882, 68561, 6293, 123736, 7201, 14779, 112452, 6, 5, 46985, 2702, 2702, 147848, 168892, 39484, 41064, 874, 151461, 42572, 20961, 1470, 30682, 2819, 564, 54260, 2808, 1470, 30682, 2205, 68889, 10918, 1211, 3056, 4852, 54260, 6093, 1470, 54260, 1211, 33960, 119718, 20961, 10918, 21295, 1470, 54260, 1211, 364, 54260, 2050, 143064, 83957, 159212, 3069, 2808, 9424, 48350, 20961, 26, 1211, 6, 5, 112593, 96418, 23093, 54260, 123073, 60980, 2702, 2702, 49792, 711, 6, 170098, 1470, 30682, 3069, 2808, 22444, 506, 6, 5, 187055, 119055, 46646, 7369, 60980, 1211, 34079, 17537, 6, 4, 60980, 1211, 7369, 49481, 7746, 33718, 17537, 2819, 7369, 60980, 1211, 22753, 36909, 26394, 1211, 230764, 9424, 48350, 20961, 26, 1211, 6, 4, 85858, 17537, 220224, 1211, 6, 4, 6150, 7369, 119055, 29060, 1751, 174410, 115518, 24464, 6, 147185, 2819, 3056, 1751, 75230, 1211, 44917, 69106, 6235, 110317, 64044, 1470, 30682, 6, 4, 119055, 46646, 7369, 6655, 47783, 657, 17645, 1982, 33960, 192061, 17190, 115518, 1470, 54260, 1211, 6, 128750, 54260, 32792, 28726, 115518, 9424, 119718, 13456, 8580, 1470, 54260, 1211, 6, 128750, 54260, 149010, 2442, 6235, 2865, 54260, 152848, 6, 5, 186145, 25491, 96951, 101608, 3056, 42493, 6, 112452, 1751, 25207, 21733, 75578, 115556, 6, 5, 3523, 54260, 6, 170098, 18225, 42493, 506, 48340, 45619, 1211, 6, 62067, 32829, 24244, 7611, 2819, 7369, 119055, 29060, 17190, 115518, 2190, 5666, 119055, 29060, 5950, 54260, 1211, 4151, 36909, 2884, 1157, 115518, 6, 5, 132, 35189, 220224, 61397, 19302, 23174, 2882, 194, 112593, 96418, 29659, 710, 44478, 711, 4151, 220224, 61397, 6319, 71804, 23741, 6, 4, 9424, 54260, 21295, 163139, 2808, 42572, 710, 13845, 19302, 23174, 2882, 7369, 6, 5, 46985, 2702, 2702, 147848, 1211, 6093, 6655, 4269, 7682, 164461, 8580, 292, 29434, 54260, 2808, 6, 5, 186145 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1982, 32829, 24244, 36419, 3056, 1751, 75230, 1211, 9424, 54260, 2882, 6, 4, 20033, 47567, 8580, 7746, 3069, 2808, 4269, 54260, 1211, 6, 5, 46985, 2702, 2702, 147848, 168892, 7501, 55726, 42410, 3069, 2808, 9424, 48350, 20961, 119055, 29060, 17806, 56052, 2819, 24464, 4838, 58571, 89930, 9424, 54260, 2882, 2451, 7657, 292, 68558, 6, 4, 34076, 54260, 47332, 7369, 220224, 6093, 2205, 51328, 710, 38596, 54260, 146887, 6, 4, 6655, 7369, 123736, 7201, 204982, 25207, 146887, 24464, 4852, 54260, 1211, 874, 54260, 3111, 23405, 6, 159696, 2932, 8580, 163139, 83182, 149010, 2190, 5666, 22518, 37016, 149010, 9934, 69596, 1211, 6, 5, 6255, 21776, 211169, 6150, 6093, 119055, 29060, 364, 54260, 13497, 42493, 220224, 1211, 2205, 218606, 15907, 39083, 17645, 18895, 18630, 7369, 3056, 220224, 6093, 40653, 207591, 45629, 112452, 24464, 4151, 22518, 37016, 149010, 2442, 112389, 2882, 6, 4, 2190, 5666, 24464, 10676, 119055, 46646, 6, 148222, 26612, 119718, 104985, 12483, 39484, 8580, 1470, 30682, 42572, 9221, 33960, 74004, 98833, 6, 5, 20315, 10918, 24244, 192061, 6319, 54260, 1211, 874, 151461, 42493, 6, 4, 6255, 119055, 13845, 7265, 1470, 30682, 190800, 104378, 6, 4, 7369, 192061, 220224, 6093, 143064, 6150, 6255, 63259, 13159, 7265, 1470, 30682, 6, 4, 2190, 5666, 4151, 6, 26394, 54574, 1470, 30682, 152, 54595, 137, 62808, 9174, 26612, 156325, 49920, 16629, 1211, 7265, 4838, 1751, 54260, 2882, 364, 39083, 7611, 6, 4, 657, 54260, 1982, 12483, 7265, 6, 40096, 17645, 142170, 96256, 15, 23269, 7611, 16, 6, 4, 6, 75578, 8580, 7265, 138716, 21847, 12483, 6, 4, 6, 109316, 36909, 506, 84577, 8580, 292, 37729, 23847, 88680, 6, 4, 115556, 8580, 292, 7265, 184057, 29111, 29171, 13159, 155, 2190, 5666, 1470, 30682, 220771, 6255, 6, 4, 6150, 7369, 192061, 42572, 54260, 16747, 184057, 29111, 6, 4, 874, 54260, 13497, 7369, 6, 4, 6150, 6255, 874, 54260, 1211, 2205, 88771, 1211, 6150, 75230, 2808, 6, 4, 7369, 36909, 20961, 43649, 20616, 2882, 42493, 6150, 6255, 5950, 54260, 1211, 67882, 4667, 1470, 30682, 4838, 184057, 29111, 26, 28726, 2205, 6, 148222, 2808, 75230, 2932, 8580, 6, 4, 2190, 5666, 130170, 6, 148222, 46654, 54260, 26394, 2702, 43649, 13845, 6255, 1470, 30682, 141107, 6, 26394, 42023, 42572, 54260, 2451, 8903, 1211, 6, 4, 4838, 12890, 2808, 1470, 30682, 19532, 54260, 1211, 9174, 26612, 156325, 2205, 4151, 23050, 7611, 6, 5, 1470, 104383, 6, 4, 204982, 40653, 10069, 4113, 39293, 19532, 1982, 54260, 2882, 2190, 6293, 20033, 6, 4, 163139, 2808, 6150, 75230, 2808, 6255, 119055, 13845, 1470, 30682, 6, 68558, 6, 34575, 75230, 12483, 6150, 75230, 2808, 159696, 2882, 220224, 1211, 6, 5, 6255, 119055, 13845, 1470, 30682, 24012, 119718, 21292, 9721, 141847, 8580, 2205, 218606, 15907, 39083, 710, 37016, 46646, 2702, 147848, 5666, 54260, 1211, 6, 4, 51963, 47567, 8580, 6235, 42023, 49481, 1470, 30682, 6, 5, 112593, 96418, 2808, 68550, 4838, 40920, 4838, 220224, 61397, 705, 42493, 6, 65939, 16932, 705, 10918, 5666, 22492, 101328, 2819, 51328, 73095, 47567, 220224, 1211, 198754, 6, 5, 107182, 13845, 147848, 10705, 5666, 6, 78683, 147848, 6, 186461, 23173, 147848, 705, 9213, 46244, 6655, 141107, 6, 68558, 1470, 30682, 42572, 48340, 13159, 8580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 705, 6093, 3056, 1470, 75230, 4667, 90284, 65442, 230764, 9424, 48350, 20961, 26, 1211, 4151, 42572, 20961, 119055, 46646, 7369, 6655, 1470, 30682, 4838, 2451, 4572, 292, 115768, 1644, 33960, 8903, 115518, 4838, 105772, 6, 4, 6, 238144, 1644, 7369, 6655, 57906, 75230, 47332, 10339, 29771, 147921, 24244, 26, 1211, 6, 5, 112593, 202936, 8903, 506, 180403, 58573, 13845, 156822, 3069, 2808, 70845, 6, 4, 2190, 5666, 1751, 7682, 1470, 30682, 72649, 6093, 3069, 4, 7369, 159696, 2882, 33960, 119718, 448, 17806, 56052, 119055, 2808, 68550, 7369, 6655, 205026, 220224, 6093, 657, 17645, 1982, 6, 5, 46985, 2702, 2702, 147848, 36419, 3056, 1751, 75230, 1211, 169532, 6, 4, 20033, 6, 159696, 79981, 1285, 4667, 40653, 1157, 109995, 90284, 96418, 6, 5, 132, 13342, 2808, 6, 148222, 40653, 93975, 16, 1157, 62808, 7746, 3069, 2808, 6235, 42023, 6, 4, 51328, 42572, 48340, 119273, 42493, 119055, 46646, 14004, 46244, 6655, 33960, 74004, 98833, 6, 4, 6, 238144, 4852, 2882, 6150, 9213, 46244, 9934, 35596, 34654, 94790, 112711, 13159, 6, 5, 112593, 96418, 2865, 54260, 23269, 221067, 2190, 5666, 6, 23093, 54260, 123073, 4, 6, 128750, 54260, 16747, 6, 4, 9213, 46244, 47567, 2882, 3496, 92904, 17806, 165354, 144754, 1470, 54260, 1211, 221067, 1211, 2190, 5666, 7265, 4838, 6, 128750, 54260, 7972, 211169, 6, 98055, 6, 4, 47833, 4151, 6, 98055, 47567, 42493, 2808, 75230, 2702, 220771, 8580, 119055, 46646, 6, 148222, 4269, 15435, 167622, 8580, 6, 210674, 8580, 2819, 20033, 6, 159696, 79981, 6, 222907, 12483, 6, 148222, 90848, 28726, 6, 4, 6150, 75230, 2808, 163139, 2808, 22444, 28714, 26, 2442, 6, 125942, 29766, 12483, 6, 4, 22444, 506, 18640, 2190, 5666, 1470, 54260, 23405, 71512, 56052, 6, 4, 42493, 144754, 6319, 54260, 1211, 7544, 26632, 17645, 163177, 23269, 4269, 54260, 16803, 6, 5, 6235, 506, 2882, 51963, 4269, 15533, 88917, 711, 15, 203387, 133880, 564, 127583, 96418, 8903, 42023, 1470, 159696, 4484, 16, 9181, 10918, 24244, 711, 657, 34365, 49792, 711, 874, 54260, 1211, 1285, 114436, 292, 13804, 36909, 16803, 705, 620, 29771, 6293, 6, 4, 39293, 2882, 7746, 6, 68558, 7265, 10676, 22753, 149311, 13804, 6293, 2819, 4838, 88721, 180403, 46711, 64567, 16803, 42493, 230764, 2648, 54260, 1211, 874, 15662, 6150, 75230, 2808, 42572, 710, 13845, 19024, 60639, 2190, 5666, 6, 147185, 6, 4, 6150, 220224, 2808, 47567, 8580, 124724, 42572, 20961, 13982, 54260, 12483, 20315, 2050, 218606, 6293, 6, 4, 6150, 180403, 47567, 16803, 42493, 134973, 12483, 13804, 36909, 8580, 6150, 75230, 2808, 163139, 2808, 6255, 2819, 2190, 22492, 88680, 10676, 620, 29771, 36909, 16803, 180403, 6150, 75230, 2808, 6, 62073, 2865, 34882, 6, 5, 132, 150271, 23829, 107776, 47833, 16, 6, 5, 7201, 23173, 15231, 26612, 112593, 202936, 711, 1982, 127583, 96418, 150271, 23829, 6, 4, 180403, 564, 34533, 42493, 4269, 15533, 88917, 6, 4, 2190, 5666, 564, 34533, 6150, 75230, 2808, 6, 128750, 23829, 230764, 62073, 96256, 129891, 6, 4, 64890, 69106, 6, 128750, 23829, 3056, 4151, 4838, 75230, 2442, 220224, 6093, 6319, 186955, 2190, 5666, 3523, 59929, 6, 4, 60980, 1211, 79761, 9174, 55687, 29566, 146887, 73784, 4269, 15533, 88917, 6, 5, 2451, 7218, 292, 150271, 23829, 29257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2808, 1470, 75230, 4667, 24857, 23050, 2865, 149010, 90284, 96418, 6, 5, 5332, 17525, 564, 34533, 180403, 364, 54260, 13497, 29659, 15350, 150839, 54260, 2882, 19532, 75230, 2702, 4269, 24295, 122978, 8580, 24464, 178766, 13804, 6293, 21422, 2865, 46685, 6, 5, 2190, 5666, 3523, 91595, 8580, 1982, 54260, 2050, 4838, 30750, 115666, 13159, 8580, 6, 4, 12023, 126934, 147582, 34709, 14088, 19532, 75230, 2702, 33960, 186479, 23174, 8580, 24464, 10676, 6, 147502, 6, 4, 10705, 5666, 185143, 6, 68558, 6, 66313, 75230, 115518, 159190, 4269, 54260, 1211, 40653, 10676, 21422, 2865, 46685, 6, 4, 180403, 185143, 25222, 30473, 36909, 56169, 6, 4, 2190, 5666, 33960, 13458, 2808, 211169, 6, 148222, 364, 141943, 6, 4, 180403, 185143, 33960, 236376, 6, 159696, 2932, 8580, 4113, 131445, 6, 5, 6, 5, 6, 5, 6150, 6255, 39484, 33960, 128750, 4113, 98833, 292, 119055, 46646, 564, 26632, 54260, 2882, 8947, 6, 4, 185143, 180403, 2808, 75230, 6293, 20033, 4838, 564, 54260, 109995, 6, 98055, 204982, 17537, 6, 4, 2190, 5666, 6150, 6255, 39484, 1285, 4667, 49481, 6, 79100, 54574, 25222, 128750, 4113, 98833, 185143, 905, 36324, 3131, 4838, 97483, 55823, 204982, 17537, 7265, 6, 148222, 42572, 21292, 6, 4, 7746, 4838, 6319, 48775, 7611, 25222, 8903, 115518, 2205, 32899, 2882, 109316, 26394, 2819, 2190, 5666, 230764, 10676, 29434, 15907, 146887, 15864, 54574, 292, 185143, 23964, 20961, 42493, 33960, 35596, 36909, 77188, 6, 4, 51328, 7265, 3496, 13159, 185143, 905, 20033, 1470, 238144, 4852, 204982, 17537, 7265, 35189, 364, 104274, 292, 6255, 47567, 19532, 75230, 2702, 4269, 54260, 1211, 6, 4, 7501, 6255, 19532, 75230, 2702, 33960, 185337, 8580, 6, 4, 6255, 506, 34557, 55242, 46244, 874, 151461, 33960, 192061, 6255, 47567, 1285, 4667, 49481, 14856, 46244, 42493, 3069, 2808, 7508, 54260, 26394, 1211, 6, 4, 159696, 2648, 186461, 180403, 564, 34533, 33960, 159696, 109995, 11211, 147455, 2205, 3496, 13159, 2819, 6255, 39484, 33960, 2865, 54260, 13497, 6, 4, 97634, 46685, 564, 34533, 180403, 42493, 137765, 6, 4, 2205, 33960, 159696, 5666, 7972, 211169, 4269, 54260, 16803, 6, 4, 6150, 75230, 2808, 163139, 2808, 8947, 186145, 159212, 7746, 6, 79100, 54574, 6, 17645, 122623, 115556, 8580, 6, 5, 51328, 180403, 6, 119273, 42493, 6, 4, 180403, 31249, 29771, 36909, 16803, 42493, 6, 4, 44458, 105884, 16803, 42493, 6, 4, 6255, 220771, 124724, 10676, 88771, 6, 4, 119055, 12483, 6428, 54260, 23269, 181692, 850, 47567, 8580, 6150, 75230, 163139, 24152, 8580, 230764, 6428, 54260, 1211, 110304, 6150, 75230, 2808, 163139, 2808, 230764, 6428, 54260, 1211, 3523, 83586, 6, 4, 119718, 39083, 2882, 6255, 1285, 4667, 1751, 75230, 1211, 141107, 42493, 4151, 39340, 129891, 6, 5, 220771, 20033, 4, 874, 54260, 1211, 6, 23093, 54260, 6093, 6093, 6, 4, 148222, 34482, 170355, 107581, 24464, 6428, 54260, 1211, 64769, 18630, 210404, 6, 5, 112593, 96418, 168892, 7501, 42493, 7265, 76961, 51723, 4269, 15533, 88917, 2819, 4838, 24857, 3056, 141107, 6, 148222, 34482, 74004, 107581, 150271, 710, 112711, 54260, 1211, 6, 4, 90284, 96418, 6655, 83031, 2819, 119055, 12483, 7369, 47567, 220224, 1211, 9174, 55687, 42493, 4269, 15533, 88917, 6, 4, 119718, 158291, 7369, 7746, 47833, 6, 66313, 75230, 115518, 58571, 9221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12483, 6, 5, 112593, 96418, 168892, 163139, 1644, 97483, 16580, 6150, 75230, 2808, 33718, 17537, 6, 5, 6235, 506, 874, 54260, 1211, 6, 128750, 75230, 2808, 6, 4, 2190, 5666, 657, 54260, 2932, 7746, 3131, 17410, 36909, 8580, 6, 5, 2648, 201, 2451, 836, 292, 150271, 23829, 29257, 2808, 564, 34533, 199250, 42493, 4269, 15533, 88917, 6, 4, 2190, 5666, 180403, 4269, 54260, 16803, 3069, 2808, 6, 170098, 2882, 2190, 57619, 47709, 138716, 7972, 29060, 2181, 60980, 1211, 9174, 55687, 29566, 146887, 6, 4, 14856, 60980, 1211, 7746, 17824, 23174, 42572, 20961, 16580, 79981, 711, 29257, 2808, 564, 34533, 42493, 4269, 15533, 88917, 6, 4, 6255, 42572, 25207, 2932, 5950, 54260, 1211, 6, 4, 151614, 126934, 6, 148222, 119055, 69596, 24621, 10213, 96256, 159696, 4484, 33960, 119718, 20961, 36909, 8580, 6, 4, 6255, 47567, 141107, 42493, 163139, 149311, 6, 4, 2190, 5666, 6235, 506, 15907, 159190, 2205, 13982, 75230, 2702, 12483, 2205, 36324, 2808, 6319, 13845, 16932, 112389, 2882, 6, 4, 119055, 46646, 44064, 4838, 4269, 15533, 33104, 16932, 115556, 46985, 1211, 7746, 1470, 75230, 4667, 42572, 20961, 16580, 79981, 6, 4, 186554, 49481, 4838, 620, 26612, 36909, 6093, 705, 3523, 54260, 1211, 874, 54260, 1211, 657, 88680, 112593, 202936, 6, 4, 180403, 119055, 119273, 20033, 42493, 1470, 54260, 50856, 6093, 8580, 6, 4, 6428, 54260, 1211, 110304, 3056, 4269, 15533, 88917, 6, 4, 51328, 2648, 54260, 1211, 3523, 83586, 3056, 620, 26612, 6293, 6, 5, 177274, 2702, 6, 238144, 1982, 65146, 163139, 149311, 9213, 46244, 874, 123844, 620, 26612, 36909, 4484, 54260, 2882, 6, 4, 19024, 68550, 128364, 159696, 2442, 6255, 1285, 4667, 7265, 178766, 143064, 83957, 159212, 6, 4, 119055, 46646, 20033, 85465, 115518, 1751, 75230, 1211, 64890, 69106, 6, 143409, 9424, 119718, 13456, 8580, 7746, 6, 4, 2190, 5666, 564, 54260, 2808, 178766, 4113, 202731, 16629, 1211, 119055, 13845, 107581, 85465, 115518, 194706, 564, 54260, 20315, 42572, 20961, 1470, 54260, 1211, 115556, 8580, 33960, 2865, 115536, 6, 4, 6150, 180403, 65146, 2882, 20033, 74004, 2932, 8580, 6, 4, 2190, 5666, 64769, 186145, 112452, 6, 4, 24464, 119055, 46646, 12023, 126934, 6150, 75230, 3496, 92904, 9356, 16580, 46685, 2882, 6, 4, 119055, 46646, 36909, 20961, 115556, 8580, 55242, 129891, 564, 54260, 2808, 124724, 19024, 33960, 159696, 1211, 6, 4, 292, 55242, 13805, 3069, 2808, 22753, 1982, 12483, 45521, 68959, 239162, 1211, 6, 4, 119055, 46646, 44064, 2205, 4838, 42572, 171127, 123073, 112389, 2882, 39484, 8580, 220224, 220224, 123073, 88721, 26, 6093, 36909, 20961, 6, 105235, 21295, 6, 5, 132, 150271, 23829, 117641, 2882, 230764, 6, 148222, 136645, 12483, 16, 6, 5, 112593, 96418, 29659, 54260, 2808, 230764, 6, 4, 6, 150271, 23829, 6, 4, 43649, 54260, 2808, 230764, 711, 874, 54260, 1211, 16175, 54260, 123073, 6, 128750, 75230, 2808, 6, 5, 150271, 23829, 159696, 1211, 180403, 90284, 96418, 6, 4, 47567, 16803, 220224, 1211, 1470, 36909, 54260, 59461, 6, 4, 163139, 21295, 6255, 141107, 230764, 2865, 54260, 23269, 136645, 13159, 42493, 33960, 36909, 69803, 1211, 6, 5, 220771, 20033, 51328, 90284, 96418, 6, 4, 2205, 178766, 172312, 191331, 2050, 3056, 97483, 16580, 6428, 54260, 2882, 32792, 1470, 75230, 2702, 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 ]
[ 62073, 126700, 8580, 4151, 238354, 6, 4, 6150, 6255, 6, 174410, 36909, 2884, 6428, 54260, 23269, 192556, 850, 42493, 163139, 149311, 705, 4838, 88721, 180403, 151614, 16803, 7746, 7265, 20033, 42572, 65285, 107829, 1211, 51328, 230764, 1470, 54260, 7511, 8903, 6, 74004, 211169, 6, 4, 77985, 152, 6255, 147062, 7746, 7265, 1285, 33716, 54260, 79981, 6, 4, 7265, 10676, 564, 29060, 2882, 6, 4, 2190, 5666, 84349, 54260, 4852, 6, 4, 9424, 54260, 96986, 6, 238144, 2702, 6, 5, 8947, 3056, 4269, 100436, 56052, 148222, 9424, 54260, 2882, 6255, 65146, 124724, 220771, 8580, 152, 6150, 6255, 55242, 506, 19532, 75230, 2702, 6150, 6255, 7501, 24464, 6428, 54260, 1211, 85465, 71945, 64890, 69106, 6, 238144, 2882, 6, 4, 1470, 75230, 6, 4, 1470, 75230, 1982, 6150, 75230, 6, 4, 14856, 129891, 115556, 8580, 220771, 8580, 6150, 6, 150271, 23829, 68313, 90284, 202936, 3373, 29766, 6093, 163177, 48904, 46985, 6, 4, 42493, 220224, 1211, 1470, 54260, 8903, 1211, 6, 238144, 1982, 6, 5, 2451, 8651, 292, 112593, 96418, 3523, 54260, 1211, 6, 4, 180403, 564, 34533, 2205, 64890, 112690, 1211, 874, 54260, 23269, 6, 4, 2190, 5666, 6255, 6428, 54260, 59461, 6, 4, 874, 54260, 1211, 3944, 30750, 4, 180403, 564, 34533, 564, 54260, 2808, 20033, 16175, 54260, 6093, 6150, 75230, 2808, 163139, 2808, 874, 54260, 1211, 564, 137119, 2190, 5666, 42572, 1644, 54260, 3131, 6, 5, 150271, 23829, 2808, 75230, 711, 2181, 47567, 220224, 1211, 88771, 6150, 75230, 2808, 163139, 2808, 180403, 220771, 16803, 6, 4, 119055, 39083, 2882, 6255, 36909, 2884, 51963, 6428, 54260, 23269, 192556, 850, 33960, 119718, 34533, 6, 5, 88771, 6, 4, 6255, 7501, 6, 57277, 16580, 4838, 6, 20260, 25559, 4, 51328, 15529, 2808, 5950, 54260, 1211, 185143, 199250, 205026, 6, 4, 7746, 42572, 20961, 4838, 6, 128750, 75230, 2808, 1470, 75230, 2702, 33960, 144581, 115518, 6, 4, 6255, 115518, 97483, 16580, 4838, 6, 128750, 75230, 43178, 10918, 46685, 51328, 6255, 7501, 292, 6, 78683, 97634, 16667, 6, 26632, 115536, 6093, 711, 7265, 2865, 54260, 1211, 42572, 2808, 16932, 60980, 97634, 1211, 2190, 5666, 7265, 874, 54260, 1211, 15864, 49209, 90284, 96418, 7501, 6255, 4838, 12023, 36419, 139962, 174410, 108209, 3120, 87680, 6, 128750, 75230, 43178, 10918, 46685, 152, 90284, 96418, 711, 5332, 120580, 37016, 20033, 6428, 54260, 23269, 36909, 29766, 4852, 64260, 8300, 17310, 6, 5, 6255, 119055, 13845, 220224, 2808, 42572, 20961, 6319, 54260, 119132, 42493, 874, 138763, 220224, 1211, 2819, 874, 54260, 1211, 29659, 20961, 112452, 4269, 54260, 16803, 39484, 6255, 1751, 75230, 1211, 1470, 54260, 1211, 15864, 54574, 27702, 119718, 710, 104149, 2819, 6255, 39484, 7265, 2865, 54260, 1211, 221067, 1211, 163139, 79981, 874, 54260, 1211, 46050, 163177, 4269, 9221, 32829, 29060, 6, 4, 2190, 5666, 6255, 39484, 10676, 6, 238144, 15231, 2932, 144754, 17824, 75230, 2702, 7369, 99176, 2932, 17310, 1470, 75230, 2702, 57906, 710, 146887, 6, 4, 119055, 13845, 6255, 874, 54260, 1211, 874, 183718, 192556, 850, 1470, 75230, 4667, 39340, 129891, 40653, 46711, 64567, 8580, 2190, 5666, 6319, 54260, 119132, 42493, 64769, 186145, 112452, 6, 5, 112593, 96418, 2808, 75230, 6, 4, 4269, 26632, 2882, 711, 33960, 1982, 20033, 6319, 48775 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23741, 6255, 47567, 119055, 77188, 220224, 1211, 874, 54260, 1211, 42572, 54260, 23269, 128750, 75230, 2808, 6, 5, 15, 51723, 364, 77188, 19302, 110856, 1211, 2205, 78104, 6093, 16, 6, 125830, 2702, 711, 49920, 711, 107020, 21660, 6093, 6319, 71804, 23741, 95766, 4151, 78104, 6093, 6, 5, 6, 150271, 23829, 6, 4, 6235, 506, 19532, 75230, 2702, 230764, 1470, 21733, 54260, 59461, 9424, 54260, 2882, 6, 4, 2190, 5666, 22492, 4667, 10676, 119055, 13845, 6255, 42572, 20961, 124724, 64769, 186145, 112452, 874, 54260, 1211, 55202, 2819, 6255, 119055, 13845, 124724, 35189, 26394, 506, 79981, 874, 54260, 23269, 19024, 60639, 6, 4, 2190, 5666, 51963, 192556, 850, 6, 4, 6, 159696, 126934, 163139, 149311, 119055, 46646, 6255, 115518, 6150, 75230, 2808, 230764, 26, 1211, 88721, 9356, 8300, 29766, 35596, 6, 4, 657, 14236, 5332, 21219, 6235, 506, 33960, 104238, 19532, 75230, 2702, 6, 5, 132, 150271, 23829, 6235, 506, 2882, 1470, 159696, 4484, 6, 4, 657, 34365, 49792, 2190, 5666, 6, 186461, 69596, 24244, 6319, 75230, 51723, 47833, 16, 6, 5, 112593, 96418, 1211, 12666, 10918, 24244, 6, 4, 119055, 6093, 3056, 140108, 705, 12666, 10918, 905, 36419, 131445, 4838, 46050, 20260, 6093, 115556, 163139, 1644, 7746, 7265, 124724, 55242, 506, 8580, 6, 5, 2451, 7221, 292, 112593, 96418, 26612, 506, 26612, 711, 8947, 3056, 6, 78683, 147848, 6, 186461, 23173, 147848, 6, 4, 119055, 46646, 58573, 13845, 167673, 6655, 5, 7265, 62808, 6, 159696, 2932, 8580, 1470, 30682, 4269, 9221, 16870, 2882, 6, 5, 6235, 506, 1470, 159696, 4484, 24464, 194706, 9181, 10918, 24244, 6, 4, 20632, 2808, 6, 4, 119055, 46646, 159696, 16803, 180403, 220771, 8580, 60980, 147848, 6, 186461, 69596, 14088, 705, 7972, 22492, 12415, 24244, 30750, 20616, 2442, 205026, 6, 4, 3069, 2808, 23050, 56052, 3120, 874, 54260, 23269, 13804, 36909, 4113, 657, 42733, 55823, 1211, 1470, 54260, 1211, 26217, 2882, 6, 87311, 95064, 1211, 6, 5, 112593, 96418, 26612, 4667, 6, 4, 73095, 3056, 220224, 6093, 42493, 72577, 119055, 46646, 180403, 6235, 506, 16803, 159190, 4269, 79671, 107829, 1211, 711, 29257, 2808, 47567, 16803, 137765, 42493, 220224, 1211, 620, 26612, 6293, 6, 4, 6, 23093, 54260, 6093, 6093, 6, 78683, 147848, 711, 7972, 22492, 12415, 24244, 95766, 7501, 42493, 30109, 84577, 6, 4, 6255, 60980, 1211, 33718, 17537, 187055, 119055, 46646, 90284, 96418, 6, 159696, 96256, 75230, 6293, 20033, 7213, 36909, 12483, 6, 5, 112593, 96418, 506, 6093, 119055, 46646, 6255, 119055, 13845, 124724, 220771, 8580, 6, 4, 1470, 75230, 1982, 180403, 564, 34533, 230764, 6, 148222, 2808, 75230, 6093, 12483, 42493, 620, 26612, 6293, 6, 5, 7972, 22492, 12415, 24244, 2865, 54260, 1211, 620, 26612, 36909, 4484, 54260, 2882, 119055, 13845, 6255, 137765, 24464, 7746, 6, 23173, 68561, 119055, 20961, 36909, 12483, 6, 4, 24857, 3131, 159696, 2442, 6255, 564, 54260, 2808, 4269, 26632, 2882, 2819, 24857, 364, 23173, 7611, 24464, 22444, 28714, 711, 24857, 16175, 54260, 123073, 2808, 54260, 29171, 13845, 24464, 17824, 75230, 2702, 23173, 15231, 8903, 895, 16932, 8580, 711, 6150, 75230, 2808, 163139, 2808, 4838, 26067, 47890, 67882, 104238, 103854, 84349, 25207, 211169, 6, 4, 6150, 75230, 2808, 151614, 126934, 874, 54260, 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 ]
[ 16175, 75230, 96986, 4269, 54260, 16803, 7369, 159696, 20911, 6, 5, 119055, 46646, 29257, 2808, 119055, 119273, 364, 54260, 2702, 12483, 292, 7501, 6255, 17824, 20616, 2882, 3069, 2808, 33718, 17537, 6, 4, 44064, 6150, 13845, 4944, 13159, 119718, 46646, 60980, 1211, 42493, 220224, 1211, 6, 4, 119055, 46646, 47567, 6255, 33718, 17537, 705, 1982, 127583, 71616, 47709, 36324, 2808, 4838, 68697, 54260, 2882, 6, 4, 119055, 46646, 119055, 29060, 364, 54260, 1644, 12483, 70695, 20260, 4113, 6, 5, 186461, 69596, 14088, 38, 13159, 3056, 42493, 2808, 6150, 13845, 107581, 33960, 46464, 194734, 6, 4, 119055, 13845, 107581, 20033, 6, 141353, 36909, 12483, 70695, 20260, 15864, 211169, 705, 2451, 8934, 292, 112593, 96418, 46598, 3056, 19024, 6150, 75230, 23269, 1470, 75230, 4667, 6, 5, 119055, 46646, 6, 4, 6, 159696, 51723, 6, 4, 2190, 5666, 163139, 2808, 6150, 75230, 2808, 20033, 141353, 36909, 12483, 33718, 17537, 292, 119055, 13845, 6255, 124724, 40653, 8580, 6, 159696, 2932, 220771, 8580, 6, 5, 186461, 69596, 24244, 17410, 62808, 6235, 42023, 33960, 104238, 6, 5, 119055, 46646, 14856, 163139, 1644, 24464, 20033, 292, 6, 238144, 2702, 6255, 42493, 22492, 2442, 8947, 3056, 6235, 110317, 42572, 20961, 20033, 119055, 46646, 90284, 96418, 42572, 77820, 33716, 205026, 6, 5, 112593, 96418, 3111, 2808, 6, 4, 6235, 506, 49481, 20033, 711, 132, 8903, 506, 12483, 1470, 159696, 4484, 16, 6, 5, 304, 2451, 18415, 126230, 15231, 22492, 132, 95766, 21422, 2865, 46685, 564, 54260, 2808, 9424, 48350, 20961, 26, 1211, 2205, 364, 75230, 4852, 6, 4, 18133, 59461, 8580, 2190, 2932, 564, 69181, 26394, 1211, 6, 4, 26394, 4852, 20961, 107776, 47833, 2205, 6, 148222, 112389, 2882, 19302, 54260, 35189, 16, 6, 5, 26394, 74004, 164863, 15907, 4151, 364, 52480, 13845, 6, 4, 42493, 6, 148222, 7369, 2648, 39484, 8580, 364, 54260, 50778, 8903, 112389, 2882, 6319, 54260, 1211, 15529, 506, 33960, 192061, 6, 5, 2190, 5666, 29434, 54260, 2808, 15864, 54574, 6655, 874, 54260, 1211, 6, 128750, 75230, 2808, 24464, 10676, 620, 29771, 6293, 207591, 215206, 12483, 152, 137, 506, 13845, 159212, 711, 48494, 96256, 159696, 2882, 711, 1470, 75230, 711, 14856, 9915, 54260, 2882, 9424, 48350, 20961, 26, 1211, 6, 20971, 292, 159696, 2442, 3056, 6428, 99766, 19024, 705, 15, 35189, 173102, 6093, 10069, 114436, 107776, 47833, 16, 220771, 6, 148222, 34076, 36484, 170098, 8580, 220224, 2808, 28798, 126700, 220224, 1211, 30109, 79174, 6, 5, 2190, 5666, 33960, 1982, 20033, 40653, 220224, 6093, 6, 35596, 36909, 6093, 6, 5, 46985, 46685, 10069, 114436, 168892, 6235, 506, 6, 5, 15, 4484, 14081, 23982, 7511, 2808, 107776, 47833, 16, 4484, 14081, 23982, 7511, 2808, 26394, 4852, 23173, 180403, 163139, 1644, 16803, 6, 57277, 16580, 6235, 506, 12483, 705, 3523, 54260, 1211, 9424, 48350, 20961, 6, 4, 180403, 6, 141353, 36909, 16803, 506, 54260, 13497, 42493, 19532, 75230, 2702, 6235, 42023, 24464, 364, 75230, 6293, 6, 5, 26394, 4852, 20961, 168892, 119055, 13845, 18133, 46985, 6235, 42023, 6, 4, 6255, 39484, 42572, 20961, 6319, 54260, 1211, 48706, 48775, 16629, 7972, 2648, 13159, 6319, 54260, 1211, 2451, 8983, 292, 53521, 2808, 42493, 711, 220224, 2808, 17806, 165354, 51328, 230764, 20033, 24464 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 238144, 18415, 16667, 6, 5, 6150, 220224, 2808, 6, 159696, 79981, 35189, 39293, 506, 12483, 9424, 48350, 20961, 26, 1211, 2205, 88721, 6, 4, 6, 159696, 79981, 220224, 51963, 6, 84577, 12415, 49008, 119055, 6093, 122623, 6, 5, 4484, 14081, 23982, 7511, 2808, 26394, 4852, 20961, 6, 4, 6255, 34076, 75230, 1982, 6319, 54260, 1211, 15864, 54574, 42493, 2205, 177157, 12130, 6, 4, 51328, 137765, 506, 34557, 6255, 874, 151461, 42572, 20961, 220224, 2808, 6, 5, 6255, 7508, 54260, 2648, 1751, 75230, 1211, 141107, 42493, 24464, 10676, 6, 4, 119055, 46646, 62808, 5950, 54260, 1211, 39484, 8580, 33960, 39293, 42023, 2190, 5666, 6, 66313, 77188, 6, 5, 51328, 119055, 46646, 6, 148222, 48706, 48775, 163177, 46598, 85465, 115518, 20033, 7369, 29659, 4151, 26394, 506, 21295, 6, 4, 119055, 46646, 42572, 20961, 163139, 83182, 7972, 30750, 2190, 5666, 22518, 37016, 149010, 4852, 69596, 1211, 220224, 2808, 39484, 8580, 564, 54260, 2808, 112389, 2882, 33960, 39293, 42023, 6, 5, 6255, 39484, 6, 66313, 77188, 6150, 657, 54260, 115518, 85465, 115518, 2205, 7265, 12483, 64890, 2702, 114955, 33960, 192061, 6, 4, 6150, 6319, 79422, 39484, 8580, 7746, 24464, 7746, 39293, 22849, 16803, 230764, 6, 46677, 36909, 41595, 6, 4, 2190, 5666, 39484, 8580, 24464, 7746, 6, 148222, 6658, 448, 19532, 75230, 2702, 33960, 119718, 20961, 36909, 8580, 152, 36909, 710, 13845, 42572, 54260, 6093, 196332, 105188, 30721, 6, 4, 182990, 50578, 6, 4, 39484, 8580, 7746, 230764, 6, 148222, 119718, 39083, 39340, 99611, 6, 62073, 203749, 8580, 6, 4, 6150, 75230, 2808, 163139, 2808, 230764, 4838, 620, 26612, 40920, 115453, 2882, 7611, 6, 4, 2190, 5666, 220224, 139365, 137119, 6655, 6235, 15529, 49008, 6, 4, 230764, 4151, 218606, 710, 200651, 17645, 2819, 4151, 21776, 3131, 24464, 1285, 43590, 215206, 850, 6655, 163139, 2808, 4838, 163139, 16747, 2205, 4838, 75230, 2442, 160751, 212484, 12483, 6, 4, 18225, 6655, 6, 66313, 77188, 163139, 2808, 148222, 10339, 36909, 6093, 2648, 39484, 8580, 6, 66313, 9221, 163177, 29060, 4, 6, 4, 16175, 75230, 18415, 115556, 8580, 39484, 8580, 33960, 30473, 36909, 56169, 6, 4, 2190, 57619, 22151, 98229, 51723, 7265, 6, 148222, 52059, 850, 2190, 5666, 7265, 6, 148222, 33960, 25391, 54260, 12483, 6235, 42023, 159190, 40653, 148222, 6, 119859, 149311, 102323, 448, 2190, 5666, 113044, 850, 6, 4, 1470, 75230, 6, 4, 9424, 48350, 20961, 711, 73095, 3056, 5950, 7611, 42493, 6319, 54260, 1211, 25222, 238144, 5666, 7972, 30750, 6, 74004, 211169, 6, 4, 6150, 75230, 23269, 163139, 83182, 8580, 1751, 25207, 165354, 205026, 22518, 37016, 32792, 6, 5, 26394, 4852, 20961, 36909, 2884, 4269, 26632, 2882, 60980, 1211, 18225, 7746, 42493, 9356, 119718, 29766, 76632, 1211, 6, 5, 6255, 119055, 13845, 6235, 42023, 6, 4, 2190, 5666, 119718, 710, 35189, 36324, 6, 148222, 51963, 177157, 12130, 6, 238144, 104149, 230764, 51963, 9356, 36326, 36909, 24295, 40697, 1211, 24464, 4151, 159696, 21295, 6, 4, 42493, 51328, 230764, 20033, 5950, 54260, 1211, 6, 5, 4484, 14081, 23982, 7511, 2808, 2808, 54260, 35189, 1470, 54260, 1211, 123736, 12415, 212915, 1751, 174410, 47332, 55242, 42023, 20033, 42493, 6319, 54260, 1211, 69529, 78683, 2702, 29060, 6, 4, 2190, 5666, 18583, 7611 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33960, 159696, 21295, 161459, 2702, 16175, 75230, 2882, 55242, 42023, 20033, 163139, 2808, 6, 148222, 364, 52480, 17017, 12483, 159696, 12415, 1211, 7508, 75230, 2882, 163139, 2808, 42572, 54260, 6093, 6, 5, 26394, 74004, 45629, 88680, 24012, 25391, 34882, 71512, 115556, 8580, 1751, 174410, 115518, 234917, 15864, 54574, 49481, 2451, 4859, 292, 36909, 69596, 1211, 16175, 75230, 2882, 2190, 5666, 1470, 54260, 1211, 42572, 13159, 16932, 115556, 1751, 174410, 47332, 1470, 54260, 1211, 15864, 54574, 6, 5, 24464, 203387, 163139, 83182, 149010, 6, 74004, 211169, 119055, 46646, 6255, 39484, 6, 66313, 77188, 6, 4, 3056, 20033, 1470, 54260, 1211, 196511, 26612, 6, 201601, 6, 4, 163139, 2808, 6150, 75230, 2808, 134973, 12483, 115556, 8580, 874, 151461, 39484, 8580, 6, 4, 6150, 18225, 6, 238144, 16803, 128750, 77820, 2442, 6, 4, 6150, 4151, 16175, 75230, 2882, 65146, 77208, 43449, 77208, 6, 104378, 2205, 4151, 120202, 62073, 18415, 1644, 16932, 9424, 54260, 2882, 6, 5, 15, 35189, 173102, 6093, 10069, 114436, 107776, 47833, 16, 119055, 46646, 39484, 8580, 33960, 74004, 98833, 148222, 4838, 119718, 40505, 12483, 6, 5, 46985, 46685, 10069, 114436, 54595, 6, 148222, 6428, 23173, 36909, 16803, 364, 54260, 13497, 42493, 19532, 75230, 2702, 6235, 42023, 6, 4, 220224, 2808, 39484, 8580, 19532, 75230, 2702, 7511, 3111, 51723, 24857, 22639, 4113, 238144, 110317, 80885, 24464, 6, 148222, 30109, 79174, 6, 4, 2190, 5666, 39484, 8580, 24857, 364, 23173, 7611, 7511, 2882, 241997, 33960, 36909, 710, 49008, 6, 5, 26394, 4852, 159870, 46646, 6655, 4269, 26632, 176436, 2884, 204982, 17537, 6, 4, 30654, 54260, 3131, 3069, 2808, 220224, 1211, 6, 148222, 40653, 2451, 62073, 90848, 4484, 71512, 152, 9424, 48350, 20961, 119055, 158291, 33960, 159696, 1211, 1470, 54260, 1211, 24012, 35189, 226112, 40920, 161459, 115556, 119055, 12483, 6093, 47567, 42572, 20961, 22518, 37016, 40653, 43449, 54260, 115518, 2205, 4151, 364, 54260, 2050, 6, 5, 51328, 9424, 48350, 20961, 119055, 29060, 2648, 46646, 42493, 6, 207682, 6, 5, 4151, 22518, 37016, 5950, 54260, 1211, 6, 238144, 16803, 6150, 9424, 48350, 20961, 3056, 22518, 37016, 149010, 2442, 152656, 1470, 30682, 6, 5, 6255, 7265, 1470, 30682, 292, 64769, 1211, 9424, 238144, 2808, 657, 54260, 1982, 12483, 6, 4, 20033, 64769, 8580, 9213, 2808, 54260, 1211, 169532, 33960, 1982, 29766, 12483, 33960, 119718, 69596, 1211, 6, 4, 51328, 6255, 7501, 895, 16932, 6, 4, 2190, 5666, 22518, 37016, 149010, 2442, 6, 5, 3523, 54260, 1211, 6, 4, 6255, 119055, 13845, 6235, 42023, 6, 5, 4484, 14081, 23982, 7511, 2808, 2808, 75230, 6, 4, 6, 238144, 2808, 711, 9424, 48350, 20961, 6, 4, 6428, 54260, 1211, 1470, 54260, 5666, 105235, 1644, 17310, 3056, 4269, 81824, 6428, 54260, 1211, 9174, 66362, 6, 5, 168892, 364, 54260, 2050, 124724, 42493, 6235, 42023, 6, 4, 51328, 1470, 75230, 1982, 180403, 564, 34533, 6150, 75230, 564, 75230, 39340, 6, 4, 6, 212484, 1285, 4667, 2865, 54260, 1211, 22518, 37016, 42493, 1157, 109995, 6235, 42023, 6, 5, 6, 5, 6, 5, 20033, 6, 159696, 79981, 7213, 165354, 6, 62067, 171433, 147848, 7611, 2205, 35189, 73095, 22492, 205416, 17645, 220771, 8580, 6150, 180403, 564, 34533, 364, 54260, 13497, 42493, 4269, 15533, 88917, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 7369, 1644, 75230, 1982, 20033, 159696, 1644, 6255, 42572, 21106, 12483, 230764, 6, 148222, 136645, 13159, 42572, 20961, 124724, 6, 4, 2190, 5666, 119055, 13845, 1285, 4667, 210346, 1211, 6, 5, 26394, 74004, 164863, 47709, 6, 4, 6, 212484, 220224, 1211, 6150, 75230, 2808, 6, 4, 6, 170098, 15864, 24152, 13159, 6, 62067, 171433, 147848, 220771, 8580, 6150, 6255, 115518, 42493, 4269, 15533, 88917, 2819, 3069, 2808, 143064, 124724, 292, 42572, 6093, 17160, 54260, 1982, 6255, 6, 5, 15, 20315, 10918, 24244, 107776, 47833, 16, 64260, 3056, 212837, 147848, 90284, 96418, 2819, 7369, 119055, 29060, 220224, 2808, 220771, 8580, 6, 5, 2451, 9103, 292, 20315, 10918, 24244, 168892, 39484, 4113, 6, 148222, 6, 20616, 25207, 3069, 2808, 6, 159377, 165354, 7746, 42572, 20961, 10676, 6, 46677, 46244, 7972, 40920, 12483, 26394, 74004, 71945, 6, 4, 2190, 5666, 163139, 110970, 12483, 1470, 30682, 4838, 34076, 7682, 149010, 1211, 6, 198087, 33104, 159212, 230764, 364, 54260, 15231, 8903, 1211, 2882, 64567, 6, 5, 6255, 7501, 1285, 4667, 4269, 100436, 56052, 22444, 36909, 12483, 2205, 4151, 73095, 22492, 205416, 17645, 6, 5, 26394, 74004, 164863, 54260, 1211, 212837, 147848, 6, 4, 6255, 119055, 13845, 42493, 6235, 42023, 6, 5, 17824, 21292, 2702, 24464, 20033, 141107, 6, 128750, 54260, 16747, 32792, 51963, 73095, 22492, 205416, 12483, 6, 4, 2190, 5666, 6, 225975, 220224, 2808, 6150, 6255, 119055, 13845, 364, 54260, 13497, 42493, 220224, 1211, 564, 54260, 2808, 35189, 66616, 36677, 2819, 42493, 40653, 10676, 6, 238144, 1644, 6255, 60980, 1211, 42493, 6, 4, 84475, 6255, 39484, 53521, 2808, 6, 4, 51328, 6, 238144, 1644, 6255, 163139, 1644, 42493, 292, 6150, 75230, 2808, 220771, 220224, 2808, 6, 4, 212837, 49792, 6, 5, 4484, 14081, 23982, 7511, 2808, 225975, 6150, 7369, 3056, 620, 26612, 6293, 6, 5, 26394, 4852, 20961, 119718, 46646, 105884, 16803, 180403, 212911, 23982, 7511, 2808, 711, 9424, 48350, 20961, 47567, 220771, 8580, 4838, 6, 186461, 12483, 705, 7511, 2882, 40653, 10676, 657, 75230, 47332, 205026, 6, 148222, 6, 159696, 21295, 42572, 20961, 1470, 54260, 1211, 6, 103828, 1211, 6, 4, 6, 238144, 1644, 6255, 506, 34557, 874, 151461, 3069, 2808, 220771, 8580, 10676, 88771, 42572, 20961, 5950, 18415, 115556, 8580, 6, 5, 220771, 220224, 2808, 6, 26, 20315, 10918, 24244, 152, 137, 26394, 4852, 20961, 119055, 29060, 42493, 6, 104378, 155, 6, 5, 20315, 10918, 24244, 2932, 71512, 2648, 161459, 49920, 2442, 9424, 48350, 20961, 6, 4, 7369, 1644, 75230, 1982, 20033, 6, 148222, 34482, 74004, 30750, 4151, 24464, 74004, 2932, 8580, 2819, 1470, 75230, 1982, 42493, 6, 4, 6, 159696, 79981, 220224, 2808, 51963, 1157, 115518, 24464, 20033, 6, 4, 6150, 6255, 119055, 13845, 220224, 2808, 54595, 75230, 2808, 6, 225975, 8580, 6, 5, 26394, 4852, 20961, 148222, 34482, 170355, 107581, 292, 3056, 874, 54260, 1211, 163139, 76866, 12483, 6, 5, 6255, 163139, 76866, 42493, 6, 4, 6235, 506, 6255, 7511, 2882, 6, 4, 6150, 75230, 2808, 6, 159696, 126934, 6, 225975, 8580, 6, 148222, 73095, 22492, 205416, 12483, 6, 5, 51328, 124724, 5950, 54260, 1211, 6, 238144, 1644, 6255, 506, 34557, 1285, 4667, 220224, 6093, 657, 17645, 1982, 6, 4, 119055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13845, 6255, 4151, 26394, 506, 79981, 6, 148222, 34482, 74004, 107581, 152, 874, 54260, 1211, 128750, 75230, 2808, 7369, 1644, 75230, 47332, 20033, 42493, 6235, 42023, 6, 5, 2181, 6655, 7746, 9213, 46244, 33960, 30946, 177148, 6, 4, 6150, 36909, 2884, 874, 54260, 1211, 48706, 26632, 14004, 6, 4, 7508, 35596, 6, 4, 37729, 364, 88917, 77188, 17190, 104238, 564, 137119, 6, 4, 7508, 54260, 1211, 6, 4, 6150, 75230, 2808, 2451, 10149, 292, 119718, 23829, 24464, 4838, 6, 186479, 23174, 90284, 49008, 6, 4, 2190, 5666, 6, 148222, 34654, 94790, 32829, 2702, 39484, 8580, 7265, 17824, 75230, 2702, 128750, 54260, 2648, 2190, 5666, 7265, 57906, 91595, 6093, 6, 4, 6, 148222, 364, 141943, 2205, 10676, 564, 137119, 33960, 119718, 26612, 16629, 1211, 2819, 874, 54260, 1211, 128750, 75230, 2808, 21776, 4944, 41595, 6150, 8947, 6, 238144, 4852, 2882, 292, 6255, 47567, 7746, 11211, 96986, 42572, 20961, 6, 148222, 101251, 97594, 165354, 119055, 46646, 17806, 56052, 6, 68558, 6, 4, 22753, 2808, 3056, 33960, 36909, 69803, 1211, 230764, 9213, 506, 25207, 136645, 13159, 6, 4, 2190, 5666, 6655, 9719, 4667, 33960, 30750, 146887, 6255, 47567, 364, 54260, 13497, 24464, 21422, 2865, 46685, 42493, 19532, 75230, 2702, 6235, 42023, 6, 5, 20315, 10918, 24244, 20315, 2050, 82563, 2050, 6655, 18225, 42493, 163139, 24152, 32792, 37640, 39222, 6235, 159696, 1211, 2819, 4151, 82563, 2050, 238144, 4852, 2882, 230764, 1470, 54260, 1211, 34076, 7682, 32792, 6, 198087, 33104, 159212, 6, 5, 4838, 24857, 564, 137119, 119055, 46646, 24857, 564, 137119, 192061, 7746, 4269, 18640, 120467, 8580, 24464, 6428, 54260, 1211, 3373, 57277, 97634, 710, 37729, 42572, 710, 13845, 17190, 104238, 6, 4, 2190, 5666, 4838, 182990, 190281, 34654, 94790, 112711, 13159, 39484, 8580, 7265, 17824, 75230, 2702, 6, 128750, 54260, 2648, 220224, 123073, 364, 141943, 33960, 119718, 76526, 8580, 292, 2648, 46646, 3056, 4838, 210228, 6, 4, 6150, 64890, 69106, 22444, 28714, 119055, 119273, 180403, 6, 68558, 81414, 20260, 12483, 7265, 564, 137119, 119718, 46646, 202745, 17190, 30750, 158548, 6, 4, 2190, 5666, 207748, 23269, 2865, 80885, 115556, 8580, 6, 159696, 79981, 7746, 67826, 55823, 1211, 2808, 68550, 2190, 5666, 159190, 3069, 2808, 123736, 7201, 6235, 115518, 17824, 75230, 2702, 158504, 10676, 67882, 710, 119273, 29060, 9424, 48350, 20961, 5, 54595, 75230, 2808, 147062, 18225, 1285, 4113, 104149, 82563, 2050, 37640, 39222, 220224, 1211, 711, 26394, 4852, 69596, 29771, 6, 4, 212837, 147848, 180403, 564, 34533, 1470, 30682, 72577, 37640, 39222, 6, 5, 2648, 21660, 49792, 29257, 2808, 119055, 119273, 49481, 874, 54260, 1211, 220224, 1211, 42572, 20961, 30473, 104238, 2882, 6, 4, 6150, 180403, 119055, 119273, 49920, 8580, 119718, 46646, 6255, 119055, 13845, 124724, 4151, 26394, 506, 79981, 6, 5, 47567, 16803, 163139, 46053, 6, 4, 9424, 48350, 20961, 152, 6, 148222, 73095, 22492, 205416, 12483, 39484, 8580, 33960, 48775, 79238, 29060, 6, 4, 6150, 14856, 165097, 124724, 364, 54260, 13497, 6, 148222, 30109, 75230, 1211, 6, 68558, 160204, 2819, 10705, 5666, 1470, 75230, 1982, 180403, 119055, 119273, 220224, 2808, 874, 210326, 220224, 1211, 6, 4, 6150, 180403, 119055, 119273, 42493, 17806, 56052, 2205, 35189, 73095, 22492, 205416, 17645, 6, 4, 60980, 1211, 220224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6093, 42572, 20961, 4852, 26632, 8300, 17310, 42572, 20961, 210346, 1211, 119055, 6093, 8580, 6, 5, 220224, 2808, 159696, 79981, 7746, 72577, 1470, 75230, 2702, 1157, 4944, 12483, 2190, 5666, 6, 159696, 79981, 220771, 8580, 6, 5, 137, 3111, 2808, 6, 4, 6, 159696, 79981, 20033, 29771, 7201, 147713, 8580, 6, 148222, 66616, 36677, 24464, 6, 148222, 73095, 22492, 174410, 12483, 78278, 119055, 226976, 220224, 1211, 6, 128750, 75230, 2808, 119055, 29060, 4852, 18167, 82563, 1982, 26, 1211, 216333, 4113, 82563, 20635, 155, 2190, 5666, 1470, 75230, 1982, 9424, 48350, 20961, 119055, 29060, 7746, 9356, 506, 158291, 8580, 6, 4, 159696, 79981, 220224, 2808, 33960, 119718, 21292, 51963, 220771, 8580, 137, 26394, 4852, 20961, 6, 4, 21422, 16932, 2882, 1751, 75230, 1211, 6, 20971, 49920, 20033, 6, 4, 26394, 4852, 20961, 6, 4, 6, 238144, 1644, 6255, 163139, 1644, 6428, 54260, 1211, 61842, 220771, 6255, 124724, 6150, 75230, 2808, 6, 5, 874, 54260, 1211, 657, 17645, 1982, 95494, 159212, 6655, 564, 54260, 2808, 4269, 100436, 56052, 10676, 83031, 6, 5, 2451, 8934, 292, 26394, 74004, 17800, 54260, 13497, 55242, 506, 16803, 180403, 1751, 75230, 1211, 212911, 23982, 7511, 2808, 6, 4, 6150, 180403, 1751, 25207, 152194, 7746, 10705, 112304, 34533, 711, 8947, 3056, 4838, 113554, 16562, 6255, 47567, 123736, 7201, 6, 186145, 146887, 6, 5, 33960, 1982, 20033, 10676, 11556, 16747, 9221, 6255, 119055, 13845, 6235, 42023, 6, 5, 132, 13159, 6, 104378, 47833, 32899, 90536, 24244, 6, 4, 90284, 96418, 6, 4, 6, 186461, 69596, 24244, 6, 4, 58573, 13845, 7972, 24244, 6, 4, 46985, 2702, 46985, 6, 4, 6, 186145, 1982, 32829, 24244, 2190, 5666, 21422, 5666, 22492, 16, 6, 5, 26394, 4852, 20961, 27720, 90536, 24244, 3056, 205026, 1470, 75230, 4667, 4269, 100436, 56052, 22444, 36909, 12483, 711, 27720, 90536, 24244, 26612, 72577, 874, 48340, 12483, 711, 9424, 48350, 20961, 6, 5, 26394, 74004, 48775, 72577, 58826, 46244, 124724, 6, 4, 32899, 90536, 24244, 6, 4, 119055, 46646, 564, 34533, 180403, 2190, 5666, 90284, 96418, 6150, 75230, 2808, 128750, 23829, 230764, 6, 62073, 96256, 129891, 705, 4838, 72577, 874, 48340, 12483, 124724, 6, 4, 60980, 2702, 46985, 152, 1470, 75230, 6, 4, 60980, 147848, 186461, 69596, 24244, 6, 4, 9424, 48350, 20961, 3056, 124724, 6319, 54260, 5666, 115768, 1644, 42493, 33960, 159696, 1211, 172590, 180141, 6093, 24377, 22492, 119718, 23829, 24857, 42572, 17645, 75578, 6, 4, 163139, 2808, 6150, 75230, 2808, 180403, 564, 34533, 123736, 7201, 6, 62073, 17410, 159212, 33960, 119718, 69596, 1211, 711, 119718, 23829, 42572, 13845, 202446, 137765, 4151, 6, 161459, 705, 112593, 96418, 13159, 6655, 33960, 144581, 183216, 4838, 40920, 6, 5, 26394, 4852, 20961, 168892, 6, 94741, 20260, 1470, 54260, 4667, 220224, 6093, 42572, 20961, 1470, 54260, 6093, 17288, 36909, 7972, 4944, 4484, 54260, 2882, 2190, 5666, 6, 117404, 4113, 6, 5, 132, 62067, 112711, 54260, 2702, 107776, 47833, 16, 55242, 506, 2882, 711, 6, 64260, 3056, 6, 62067, 171433, 147848, 6, 4, 364, 69336, 29060, 182990, 3523, 91595, 6, 4, 36909, 2884, 6428, 119273, 6, 159696, 2932, 8580, 3056, 7369, 1751, 75230, 1211, 230764, 7243, 32829, 1211, 6, 5, 6, 5, 6, 5 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 62067, 32829, 24244, 6, 4, 6255, 119718, 710, 110970, 124724, 4838, 221067, 1211, 6, 87311, 95064, 1211, 6, 5, 62067, 32829, 24244, 10705, 5666, 6255, 124724, 1470, 75230, 4667, 6, 4, 874, 54260, 1211, 6, 23093, 54260, 6093, 6093, 9424, 48350, 20961, 6, 5, 26394, 74004, 68959, 64567, 6150, 220224, 2808, 47567, 8580, 7746, 6428, 99766, 3069, 2808, 17824, 54260, 96986, 2819, 73095, 3056, 20033, 42493, 2451, 11156, 292, 96743, 119718, 710, 119273, 23269, 6, 4, 119055, 46646, 220224, 2808, 119055, 101503, 8580, 230764, 20033, 6150, 75230, 6, 143409, 6, 5, 4838, 710, 6, 4, 21422, 5666, 22492, 711, 10705, 5666, 58573, 13845, 7972, 24244, 711, 6, 186145, 1982, 32829, 24244, 711, 6, 5, 6, 5, 6255, 147062, 4269, 48775, 20315, 7265, 124724, 5332, 17525, 25207, 122623, 6, 4, 4269, 88945, 20260, 9934, 36326, 6, 4, 6150, 180403, 6, 141353, 36909, 16803, 3069, 2808, 20033, 17806, 56052, 364, 54260, 13497, 6, 5, 6, 74004, 54260, 23269, 115518, 20033, 6, 4, 6255, 47567, 42493, 42572, 20961, 6235, 149311, 6, 5, 186145, 1982, 32829, 24244, 168892, 119055, 13845, 7746, 6, 219928, 12483, 15, 95766, 4151, 220224, 2882, 16, 7746, 6, 105235, 79981, 23050, 115518, 124724, 54595, 75230, 2808, 44917, 76216, 35596, 6150, 51963, 6428, 54260, 23269, 221067, 6, 128750, 54260, 16747, 47567, 8580, 6, 159696, 79981, 6150, 6255, 47567, 105235, 42023, 4838, 6, 203326, 13845, 6, 238144, 16932, 6, 5, 26394, 74004, 24152, 177148, 19532, 54260, 1211, 6, 4, 874, 54260, 23269, 16175, 54260, 123073, 6, 128750, 54260, 16747, 6, 4, 72649, 6093, 6, 4, 20033, 6, 159696, 79981, 65848, 20260, 12483, 4838, 6, 203326, 13845, 6, 238144, 1211, 6, 4, 2190, 5666, 6150, 75230, 2808, 163139, 2808, 221067, 6, 128750, 54260, 16747, 6, 159696, 79981, 20033, 51963, 13342, 74004, 2865, 51723, 1470, 159696, 4484, 6235, 42023, 6, 5, 112593, 96418, 13159, 3056, 42493, 6319, 54260, 1211, 34076, 54260, 1982, 12483, 6, 5, 1470, 75230, 6, 4, 9424, 48350, 20961, 711, 24464, 10676, 33960, 127731, 185226, 77525, 2882, 20033, 6, 238144, 2808, 874, 54260, 1211, 55202, 6, 5, 363, 2451, 18415, 126230, 15231, 22492, 6, 5, 96256, 39340, 140108, 12483, 6, 4, 1470, 54260, 1211, 64890, 2702, 23050, 1982, 12483, 218606, 15907, 69803, 2808, 6, 4, 4484, 177148, 47833, 6, 101503, 190946, 2808, 60071, 2190, 2932, 657, 54260, 35596, 1470, 54260, 1211, 564, 144295, 61541, 6, 5, 101503, 190946, 2808, 68550, 37271, 26394, 4852, 20961, 6, 4, 364, 15907, 7746, 42572, 20961, 90284, 96418, 26, 1211, 6, 4, 33960, 1982, 4838, 40920, 17310, 230764, 60980, 2702, 2702, 147848, 26, 1211, 212484, 7746, 42493, 3069, 2808, 6, 4, 3069, 2808, 60980, 2702, 46985, 26, 1211, 6, 4, 3373, 7972, 123073, 159696, 49481, 21422, 5666, 22492, 6, 4, 42572, 48340, 1644, 54260, 1982, 4852, 18167, 42493, 230764, 6, 186145, 1982, 32829, 24244, 26, 1211, 6, 4, 9356, 46685, 4484, 72577, 58573, 13845, 1644, 49792, 21422, 108020, 6, 5, 20315, 10918, 24244, 90284, 96418, 6655, 1285, 4667, 42493, 657, 17645, 1982, 6, 4, 60980, 147848, 657, 24295, 69596, 24244, 6, 4, 3056, 24464, 1285, 68697, 14081, 54260, 158548, 2882, 6, 5, 2205, 123736, 6, 148222, 51963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 115556, 8580, 3056, 1470, 54260, 1211, 187667, 506, 6, 4, 2205, 4151, 11556, 23093, 3056, 1470, 75230, 2702, 6, 62073, 23822, 87442, 6235, 2932, 8580, 9424, 48350, 20961, 26, 1211, 6, 5, 1470, 75230, 1982, 180403, 564, 34533, 49481, 42493, 2451, 1496, 292, 2882, 75230, 2882, 6, 4, 364, 15907, 7746, 6, 4, 6428, 54260, 1211, 1470, 54260, 5666, 105235, 1644, 17310, 180141, 2882, 10676, 7544, 26632, 17645, 163177, 6, 5, 51328, 2808, 54260, 1211, 4269, 26632, 47567, 1285, 4667, 42572, 20961, 11211, 96986, 711, 2648, 54260, 1211, 72577, 6093, 6, 128750, 54260, 16747, 6, 23173, 18415, 62808, 2808, 68550, 155, 6, 5, 101503, 190946, 2808, 68550, 168892, 119055, 13845, 7746, 4838, 7511, 35189, 6, 105235, 79981, 230764, 9424, 48350, 20961, 26, 2702, 6, 159696, 2932, 6, 4, 2190, 5666, 6150, 7369, 159696, 2882, 37729, 6235, 42023, 6, 4, 119055, 13845, 6255, 1470, 30682, 24857, 6319, 119718, 15907, 109316, 123736, 7201, 6235, 115518, 6, 4, 2190, 5666, 159696, 1644, 1470, 30682, 10213, 146887, 6, 5, 874, 54260, 1211, 55242, 109316, 30109, 135118, 2882, 205026, 220224, 6093, 119055, 46646, 1470, 54260, 1211, 20616, 2442, 149010, 2442, 15864, 49209, 60980, 1211, 7746, 6319, 54260, 1211, 15864, 54574, 24464, 121193, 43590, 42493, 1470, 75230, 2702, 29434, 20616, 12483, 6, 5, 29257, 2808, 119055, 119273, 49481, 17190, 115518, 1470, 75230, 1982, 180403, 119055, 119273, 24857, 6319, 119718, 15907, 109316, 40653, 1644, 54260, 76632, 1211, 6, 4, 44917, 46244, 1470, 75230, 1982, 42493, 6, 4, 292, 6655, 24857, 7213, 13805, 4852, 14081, 3069, 74004, 2865, 51723, 7265, 2648, 54260, 23269, 24377, 22492, 448, 7746, 4269, 17171, 56052, 230764, 124724, 711, 15, 8903, 506, 2882, 1470, 159696, 4484, 16, 617, 2451, 18415, 126230, 15231, 22492, 6, 5, 132, 95766, 34654, 2808, 87680, 220224, 2882, 3120, 4151, 1470, 54260, 2932, 127684, 64890, 2702, 23050, 1982, 12483, 90284, 96418, 364, 75230, 4852, 104378, 47833, 6, 150271, 23829, 2190, 5666, 9181, 10918, 24244, 16, 6, 5, 150271, 23829, 168892, 6, 94114, 1285, 4667, 6, 4, 657, 75230, 6293, 33960, 104238, 2205, 73095, 22492, 174410, 17645, 6, 210674, 42493, 2819, 2190, 50856, 54260, 2648, 42493, 711, 657, 75230, 6293, 33960, 104238, 711, 119055, 34322, 1751, 16932, 16803, 180403, 705, 711, 12666, 10918, 24244, 168892, 147062, 199250, 163139, 2702, 12483, 292, 49481, 119055, 46646, 47567, 6255, 657, 75230, 36909, 8580, 705, 150271, 23829, 168892, 119055, 39083, 2882, 33960, 119718, 158291, 6, 4, 6150, 180403, 47567, 16803, 220224, 1211, 140108, 6, 4, 2190, 5666, 47567, 16803, 4852, 18167, 62113, 194175, 6072, 15435, 101251, 75290, 8580, 6, 4, 1470, 54260, 35189, 6255, 119055, 13845, 124724, 66616, 7201, 54260, 12483, 220771, 8580, 119055, 46646, 29257, 2808, 6, 141353, 36909, 16803, 33718, 17537, 6, 5, 1470, 75230, 4269, 26632, 711, 180141, 205026, 711, 43649, 13845, 4838, 7511, 35189, 1470, 54260, 1211, 29659, 54260, 1211, 9424, 119718, 13456, 8580, 3069, 23405, 2190, 5666, 9424, 119718, 13456, 8580, 364, 23173, 7611, 2819, 2205, 20033, 3056, 292, 4838, 187667, 506, 36909, 2884, 1470, 54260, 1211, 874, 123844, 59919, 905, 17537, 7265, 4838, 6, 238144, 75578, 3131, 13804, 36909, 4484, 54260, 2882, 292, 16742, 711, 163139, 2808, 2451, 11716, 292, 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 ]
[ 159696, 46244, 8947, 3056, 42572, 20961, 1470, 54260, 1211, 6, 128750, 75230, 43178, 10918, 2865, 46685, 3069, 2808, 1470, 54260, 1211, 122133, 56052, 2205, 6, 18167, 26612, 192556, 711, 180403, 564, 34533, 49481, 19024, 705, 12666, 10918, 24244, 22492, 2442, 119055, 46646, 147062, 6255, 33718, 17537, 705, 657, 75230, 36909, 8580, 73784, 3373, 43178, 26632, 292, 2190, 5666, 874, 54260, 1211, 51328, 7511, 2882, 705, 2190, 5666, 49481, 10676, 7746, 101251, 75290, 8580, 292, 874, 54260, 1211, 141107, 42493, 705, 150271, 23829, 159696, 2442, 33960, 119718, 29771, 46244, 6, 4, 3069, 2808, 6428, 54260, 1211, 49920, 2442, 3056, 4269, 15533, 88917, 6, 4, 7369, 3056, 1470, 159696, 4484, 25222, 185337, 8580, 620, 26612, 6293, 2819, 2190, 5666, 47567, 16803, 4838, 6, 98055, 97483, 42023, 6, 4, 119055, 46646, 33718, 506, 2882, 9424, 48350, 20961, 4, 2190, 57619, 47709, 8947, 6, 105235, 42023, 23050, 115518, 1470, 30682, 4838, 6, 137218, 2050, 115556, 8580, 119055, 46646, 10213, 146887, 220224, 1211, 61842, 6, 5, 22492, 2442, 6, 5, 6, 5, 6, 5, 49920, 711, 119055, 46646, 3056, 42572, 20961, 4838, 21776, 3131, 705, 12666, 10918, 24244, 168892, 49920, 220273, 42493, 6, 4, 67882, 94741, 2050, 6, 5, 150271, 23829, 168892, 6, 94114, 1285, 4667, 6, 4, 49920, 7746, 72577, 3069, 2808, 6, 5, 6255, 49920, 5332, 131445, 4838, 21776, 3131, 36909, 2884, 4838, 45495, 28714, 97634, 3149, 4113, 4, 292, 4838, 88721, 14856, 13804, 98833, 7746, 6, 4, 292, 4151, 163139, 16747, 6, 226112, 98833, 2648, 46646, 52059, 24464, 4151, 218606, 710, 200651, 17645, 6, 5, 12666, 10918, 24244, 1982, 5666, 77605, 6, 4, 6150, 6255, 49920, 141107, 42493, 6, 5, 15, 35189, 874, 223762, 107776, 47833, 16, 150271, 23829, 81050, 4838, 506, 6093, 6, 4, 657, 17645, 1982, 172398, 119718, 9221, 10069, 23847, 2819, 163139, 2808, 12023, 126934, 24012, 159696, 42023, 705, 2865, 223762, 168892, 705, 564, 54260, 2808, 7746, 2205, 4151, 364, 54260, 2050, 6, 5, 150271, 23829, 119718, 23829, 42572, 710, 13845, 202446, 4151, 220224, 61397, 705, 2451, 10031, 292, 2865, 223762, 36419, 3056, 1751, 75230, 1211, 9356, 50853, 3523, 54260, 23269, 6, 4, 67882, 94741, 2050, 6, 5, 150271, 23829, 3111, 2808, 6, 4, 9424, 48350, 20961, 3056, 1470, 159696, 4484, 33960, 185337, 8580, 2205, 218606, 710, 200651, 17645, 705, 2865, 223762, 22492, 4667, 42493, 6255, 21776, 115518, 19024, 230764, 1470, 30682, 119055, 23173, 146887, 6, 5, 150271, 167305, 192900, 3069, 2808, 1470, 30682, 5332, 17525, 4838, 159889, 6, 4, 3069, 2808, 3523, 54260, 1211, 705, 2865, 223762, 101328, 6, 4, 6255, 39484, 6, 5, 1470, 75230, 1982, 9424, 48350, 20961, 119055, 29060, 220224, 1211, 4838, 72577, 6093, 2190, 5666, 119055, 29060, 205026, 2808, 75230, 2702, 49920, 8580, 6, 4, 119055, 13845, 6255, 1470, 30682, 210346, 1211, 7369, 47567, 7746, 55242, 22849, 16803, 220224, 1211, 4838, 72577, 6093, 128750, 54260, 16747, 6, 5, 150271, 23829, 119718, 23829, 364, 54260, 16803, 6, 4, 14856, 6, 210674, 54745, 1211, 5332, 131445, 620, 91595, 2702, 6235, 129891, 1470, 30682, 705, 29257, 2808, 6, 238144, 16803, 705, 2865, 223762, 119718, 46646, 2181, 119055, 29060, 220224, 1211, 6, 238144, 2702, 6255, 42493, 51328, 6255, 39484, 220224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6093, 874, 151461, 6, 4, 93704, 17645, 2819, 19024, 3056, 220224, 6093, 1470, 54260, 1211, 1470, 54260, 5666, 8903, 64890, 2702, 6, 4, 73095, 3056, 19024, 4838, 182990, 2442, 71107, 2702, 43178, 29766, 8580, 6, 4, 6, 178107, 113889, 119718, 29171, 13159, 6, 4, 2190, 5666, 220224, 6093, 42572, 710, 13845, 115556, 8580, 119055, 46646, 55242, 129891, 4269, 100436, 56052, 94114, 12483, 181524, 24464, 9424, 48350, 20961, 26, 1211, 3056, 220224, 6093, 1470, 54260, 23405, 6, 4, 4838, 13804, 36909, 8580, 115556, 8580, 60980, 1211, 51723, 4151, 4484, 159696, 178107, 1211, 230764, 16175, 75230, 2882, 6, 5, 119055, 13845, 6255, 205026, 8248, 4944, 12483, 4838, 199720, 46685, 99766, 6, 4, 6255, 47567, 115222, 129891, 7265, 9424, 48350, 20961, 26, 1211, 7508, 54260, 122623, 6, 5, 150271, 23829, 17645, 56169, 147062, 6255, 7746, 101251, 75290, 8580, 72649, 54260, 2050, 6, 5, 6, 5, 6, 5, 163139, 2808, 13804, 6293, 24857, 506, 23173, 7611, 24464, 1470, 54260, 1211, 6, 128750, 75230, 43178, 10918, 46685, 3056, 2882, 711, 1470, 75230, 90284, 96418, 711, 6, 170098, 124724, 4151, 11211, 100378, 8580, 6428, 54260, 1211, 207748, 2882, 39293, 2882, 8300, 17310, 45223, 36909, 8580, 711, 15, 13342, 2808, 7746, 55242, 22849, 16803, 16, 119055, 46646, 7501, 6255, 711, 2451, 12069, 292, 2648, 46646, 6, 54260, 23405, 13845, 364, 77188, 6, 5, 15, 506, 33353, 16, 90284, 202936, 6655, 4838, 159889, 3069, 2808, 9424, 48350, 20961, 26, 1211, 2819, 10705, 5666, 9424, 48350, 20961, 119055, 29060, 1470, 30682, 33960, 119718, 448, 123736, 7201, 220771, 8580, 6, 5, 20033, 3056, 620, 91595, 6, 5, 6, 5, 6, 5, 6, 5, 26612, 4667, 711, 657, 75230, 6293, 33960, 104238, 657, 34365, 49792, 6, 4, 2190, 5666, 33960, 1982, 123736, 7201, 874, 54260, 1211, 67882, 49209, 4838, 17824, 54260, 2702, 24464, 20033, 6, 4, 74004, 2932, 1470, 30682, 6150, 6255, 22753, 36909, 7611, 42493, 6, 5, 49481, 10676, 115222, 46244, 7746, 40611, 3069, 2808, 20033, 144754, 220224, 1211, 6, 62067, 119718, 99766, 6, 5, 13982, 710, 16932, 6, 129071, 5666, 2451, 18415, 126230, 15231, 22492, 6, 5, 46985, 7916, 200651, 23829, 6, 4, 6, 182879, 12299, 73095, 22492, 174410, 12483, 6, 5, 1470, 183582, 115556, 8580, 230764, 4151, 2932, 46646, 6, 4, 163139, 2808, 14856, 6235, 506, 2882, 2205, 218606, 710, 200651, 17645, 6, 4, 2205, 113319, 16583, 3056, 19024, 20961, 16932, 46685, 69596, 24244, 2190, 5666, 4151, 874, 223762, 6, 4, 52059, 850, 6, 4, 8947, 6, 104378, 47833, 9424, 48350, 20961, 6, 4, 112593, 96418, 6, 4, 60980, 2702, 2702, 147848, 6, 4, 212837, 147848, 6, 4, 58573, 13845, 7972, 24244, 6, 4, 6, 186145, 1982, 32829, 24244, 6, 4, 21422, 5666, 22492, 6, 4, 62067, 32829, 24244, 6, 4, 657, 73381, 56570, 2702, 6, 4, 32899, 46590, 49792, 6, 4, 32899, 90536, 24244, 6, 4, 2190, 5666, 49481, 87680, 6, 5, 26394, 74004, 17800, 54260, 13497, 3056, 217284, 24244, 874, 99766, 24244, 711, 2865, 223762, 101328, 6, 4, 51328, 220224, 2808, 55242, 129891, 49481, 42493, 40653, 33960, 185337, 8580, 6, 4, 14856, 6655, 49481, 68550, 874, 99766, 12483, 42493, 4269, 42733, 40096, 77188, 6, 4, 36864, 14004, 73095 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47567, 220224, 1211, 72577, 711, 6, 5, 6, 5, 2451, 7911, 292, 101503, 190946, 2808, 68550, 2808, 75230, 6, 4, 9424, 48350, 20961, 6, 4, 657, 54260, 12483, 6, 128750, 63188, 874, 54260, 23269, 6, 4, 22753, 2808, 6, 66313, 6093, 7746, 6, 68558, 42572, 710, 13845, 23269, 506, 13497, 6093, 7265, 9424, 48350, 20961, 26, 1211, 6, 5, 657, 54260, 12483, 40653, 4269, 71512, 2648, 161459, 9424, 48350, 20961, 711, 26394, 4852, 20961, 119718, 46646, 2181, 6, 66313, 6093, 7746, 6, 68558, 3069, 2808, 194706, 6, 159696, 79981, 20033, 6, 65939, 16932, 9356, 210674, 8580, 6, 5, 101503, 190946, 2808, 60071, 1644, 54260, 2932, 42493, 123736, 7201, 6, 4, 657, 54260, 12483, 9356, 50853, 9213, 13458, 874, 54260, 1211, 6319, 119718, 15907, 109316, 6, 4, 9424, 48350, 20961, 711, 26394, 4852, 20961, 6093, 3056, 4838, 74127, 2932, 114436, 705, 27720, 73906, 2050, 170098, 37729, 6235, 42023, 6, 4, 78956, 35189, 6, 5, 46985, 2702, 2702, 147848, 22492, 4667, 119055, 46646, 67826, 23741, 9213, 46244, 7746, 4838, 182990, 2442, 71107, 6, 4, 7265, 38309, 32572, 6, 4, 2808, 75230, 6293, 4151, 64890, 2702, 705, 6235, 506, 2882, 10213, 115398, 2205, 218606, 710, 200651, 17645, 6, 5, 132, 26394, 4852, 20961, 107776, 47833, 2205, 218606, 710, 200651, 17645, 6, 4, 6, 148222, 40653, 93975, 6235, 42023, 49481, 49481, 1470, 30682, 6, 5, 14081, 28726, 73095, 22492, 174410, 12483, 6, 105235, 42023, 230764, 16, 6, 5, 27720, 46590, 49792, 15, 13342, 2808, 60980, 2702, 2702, 147848, 26, 1211, 16, 168892, 163139, 13497, 3131, 124724, 6, 146598, 7916, 4113, 3149, 12483, 2205, 1470, 54260, 6093, 207748, 4852, 64260, 8300, 17310, 6, 5, 46985, 2702, 2702, 147848, 119718, 46646, 42572, 20961, 4838, 207748, 4852, 64260, 8300, 17310, 6, 4, 119055, 46646, 874, 54260, 16667, 2882, 180403, 705, 27720, 46590, 147848, 74004, 54260, 3523, 15533, 88917, 6, 5, 112593, 96418, 119718, 46646, 7508, 54260, 2648, 2882, 32899, 46590, 147848, 657, 17645, 76776, 705, 2451, 5684, 292, 46985, 2702, 21087, 905, 101608, 163139, 5666, 29659, 3069, 2808, 178766, 42572, 20961, 4852, 26632, 13342, 5666, 7511, 292, 42572, 101503, 25391, 15907, 6, 5, 6255, 39484, 53521, 2808, 6, 4, 6150, 20033, 55242, 129891, 1751, 75230, 1211, 42493, 6, 35596, 2648, 87442, 6, 5, 112593, 96418, 98055, 6, 4, 7369, 6235, 506, 2882, 3069, 2808, 6, 4, 3069, 2808, 9424, 48350, 20961, 26, 1211, 2819, 33960, 1982, 4838, 40920, 24295, 5666, 6, 5, 46985, 2702, 2702, 147848, 4852, 54260, 2808, 6, 4, 60980, 2702, 46985, 6, 4, 33960, 104238, 711, 20033, 36681, 874, 151461, 6, 4, 6150, 178766, 207748, 2451, 39293, 2882, 8300, 17310, 3056, 6, 35596, 2648, 87442, 6, 5, 90284, 96418, 6, 4, 119055, 46646, 33718, 506, 2882, 18225, 705, 6150, 24464, 178766, 29771, 22680, 54260, 2648, 17310, 6, 238144, 16803, 18225, 1751, 75230, 1211, 6, 4, 84475, 6255, 84475, 9424, 48350, 20961, 6, 4, 1470, 54260, 59461, 24464, 148222, 9424, 238144, 2808, 6, 4, 65146, 81444, 42572, 20961, 1644, 29766, 8580, 119055, 6093, 8580, 6, 5, 6, 5, 6, 5, 6, 5, 1470, 75230, 6, 4, 6255, 119055, 13845, 7746, 35189, 506, 23173, 7511, 49008, 711, 112593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 96418, 74004, 54260, 564, 54260, 2808, 7746, 180141, 6, 4, 60980, 2702, 2702, 147848, 6, 5, 32899, 46590, 147848, 17190, 76776, 105884, 2882, 8903, 119718, 21292, 6, 159696, 2932, 8580, 1470, 54260, 1211, 6, 104274, 89184, 196511, 2819, 6, 98055, 292, 7369, 1157, 40920, 6, 4, 2190, 5666, 9424, 48350, 20961, 159696, 33716, 42493, 42572, 20961, 94114, 8580, 230764, 26, 1211, 88721, 6, 5, 46985, 2702, 21087, 71616, 25207, 1982, 32829, 24244, 6, 238144, 16803, 163139, 2808, 6150, 75230, 2808, 220224, 1211, 7508, 39083, 28726, 138716, 79981, 2819, 27702, 46685, 4484, 6, 4, 6093, 6655, 1470, 159696, 4484, 24012, 36909, 5594, 33716, 6, 62067, 32829, 24244, 26, 1211, 6, 5, 132, 62067, 32829, 24244, 2190, 2932, 6, 186145, 1982, 32829, 24244, 6235, 42023, 1470, 159696, 4484, 6, 4, 9424, 48350, 20961, 1470, 75230, 6, 148222, 73095, 22492, 130745, 12483, 30473, 10918, 1211, 7746, 230764, 220224, 123073, 7369, 16932, 16, 6, 5, 119718, 23829, 3056, 21422, 108020, 705, 6, 170098, 7369, 123736, 7201, 6235, 115518, 9424, 48350, 20961, 26, 1211, 220224, 1211, 159889, 14783, 31572, 238, 701, 16, 62113, 194175, 6072, 15435, 6, 5, 112593, 96418, 6093, 42493, 22753, 2808, 1751, 75230, 1211, 123736, 7201, 2819, 657, 29771, 62808, 3069, 2808, 23050, 42023, 23050, 506, 13497, 6093, 2190, 5666, 20033, 159696, 79981, 1470, 30682, 130170, 202446, 8580, 6, 5, 10918, 5666, 22492, 29257, 2808, 6, 4, 60980, 2702, 46985, 6, 4, 6, 141353, 36909, 16803, 4151, 184639, 230764, 364, 54260, 115518, 6, 148222, 364, 183512, 6, 5, 506, 6, 5, 2451, 11251, 292, 26394, 4852, 20961, 203387, 39484, 8580, 7746, 1751, 75230, 1211, 3069, 112711, 75230, 6293, 33960, 74004, 24621, 21295, 705, 44917, 6, 4, 710, 119055, 46646, 42572, 20961, 4838, 31249, 91595, 2702, 6, 94741, 63020, 6255, 7265, 26, 1211, 3373, 43178, 26632, 1470, 75230, 2702, 119718, 29766, 34709, 8580, 705, 711, 107182, 13845, 147848, 23847, 75230, 101608, 2190, 5666, 180141, 6093, 9424, 48350, 20961, 711, 874, 54260, 1211, 130170, 18415, 110317, 364, 23173, 7611, 163139, 17410, 33104, 16932, 6428, 54260, 1211, 6, 40377, 98229, 12666, 14325, 130170, 119718, 23173, 36909, 8580, 6, 5, 26394, 4852, 20961, 168892, 65146, 124724, 6, 128750, 63188, 220771, 8580, 21422, 108020, 2819, 46050, 4113, 4667, 141107, 42493, 37729, 152, 3149, 5666, 36677, 6, 4, 2190, 5666, 42572, 14081, 38596, 54260, 3131, 23050, 56052, 19532, 54260, 1211, 2205, 46654, 12483, 44917, 46244, 24012, 238144, 5666, 7972, 30750, 96302, 16629, 1211, 6, 4, 119055, 46646, 15864, 211169, 4838, 114955, 138716, 13845, 24464, 10676, 119055, 46646, 220224, 2808, 39484, 8580, 128750, 63188, 3523, 9221, 77188, 6, 5, 6235, 506, 42493, 7265, 6319, 54260, 1211, 6, 76776, 184855, 12483, 4269, 15435, 167622, 2190, 5666, 874, 54260, 1211, 42493, 6, 4, 54595, 2205, 6, 26394, 74004, 32206, 84475, 8580, 7508, 41595, 36324, 2808, 564, 137119, 6, 4, 6150, 4151, 4269, 54260, 16803, 60980, 1211, 7746, 2808, 88680, 1982, 54260, 146887, 6, 4, 24464, 10676, 119055, 46646, 3523, 23173, 12130, 119055, 6093, 8580, 40653, 8903, 94114, 8580, 6, 4, 77985, 152, 36909, 2884, 22753, 36419, 7508, 54260, 20315, 32792, 6, 4, 7265, 24012, 35189, 93975, 564, 54260, 2932, 2808, 4944, 26394, 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 ]
[ 6, 4, 2190, 5666, 7265, 364, 41595, 40697, 3149, 5666, 36677, 26, 32792, 6, 5, 6255, 39484, 1470, 54260, 5666, 115768, 1644, 33960, 14857, 23741, 6150, 14856, 47567, 6428, 54260, 1211, 90284, 35189, 20961, 75230, 2702, 7213, 165354, 6, 4, 2190, 5666, 180403, 46050, 4944, 16803, 9174, 5666, 29111, 129891, 2190, 5666, 10213, 146887, 42572, 20961, 1470, 30682, 6, 4, 159696, 1644, 6255, 1285, 4667, 4838, 620, 54260, 35189, 160204, 6150, 75230, 2808, 163139, 2808, 4838, 364, 106559, 24464, 6, 159696, 2932, 6, 5, 47567, 16803, 119718, 710, 149311, 6, 4, 6150, 9424, 48350, 20961, 6655, 198754, 6, 4, 163139, 2808, 6150, 75230, 2808, 7369, 33718, 506, 2882, 6150, 75230, 2808, 6255, 34076, 54260, 4667, 6, 5, 29060, 13845, 147848, 2808, 75230, 711, 73095, 3056, 19024, 42493, 29771, 5332, 131445, 36324, 2808, 115556, 119055, 46646, 220224, 1211, 52059, 47567, 4852, 54260, 1211, 1470, 54260, 23405, 71512, 2865, 114436, 42572, 20961, 9424, 48350, 20961, 26, 1211, 24464, 874, 54260, 119132, 6, 4, 6150, 7369, 47567, 192183, 8580, 30750, 146887, 7508, 140468, 42572, 20961, 874, 54260, 1211, 18583, 65848, 30750, 12130, 90284, 35189, 705, 112593, 96418, 168892, 1751, 159696, 2442, 564, 54260, 2808, 874, 54260, 1211, 17190, 115518, 9424, 48350, 20961, 6, 4, 42493, 42572, 20961, 6319, 54260, 1211, 184057, 29111, 6150, 168892, 7501, 2205, 44917, 112690, 1211, 6428, 54260, 59461, 6, 4, 51328, 6255, 6, 94114, 1285, 4667, 6, 4, 6150, 37640, 17160, 49792, 9934, 21106, 36909, 2884, 10676, 42572, 101503, 2442, 54260, 1982, 161829, 101251, 2932, 123329, 2882, 6, 159696, 136108, 8580, 6, 5, 26394, 4852, 20961, 2451, 12661, 292, 46985, 2702, 2702, 49792, 36909, 6093, 8300, 54260, 2808, 17310, 4, 42572, 6093, 8300, 54260, 2808, 17310, 6, 5, 9424, 48350, 20961, 711, 60980, 2702, 2702, 147848, 119055, 29060, 7746, 6, 105235, 79981, 2808, 75230, 6293, 6, 148222, 136645, 13159, 42572, 20961, 124724, 6, 4, 2190, 5666, 119055, 29060, 10213, 146887, 6, 31177, 83811, 230764, 21422, 108020, 26, 1211, 6, 5, 26394, 4852, 20961, 159696, 1211, 6255, 47567, 220224, 1211, 6150, 75230, 2808, 163139, 2808, 9213, 46244, 6, 4, 119055, 39083, 2882, 6255, 4269, 7682, 62067, 10213, 65606, 33716, 119055, 6093, 8580, 2819, 6150, 6255, 5950, 54260, 1211, 47567, 657, 17645, 1982, 39484, 8580, 6, 17645, 119132, 210346, 1211, 6, 4, 119055, 39083, 146887, 9719, 4667, 4231, 65482, 36258, 38309, 32572, 1470, 75230, 4667, 4269, 7682, 62067, 34654, 46244, 8580, 2819, 6255, 7501, 41064, 42493, 36324, 13845, 104238, 6, 4, 6255, 7501, 4838, 43649, 186797, 6093, 6, 4, 6150, 75230, 2808, 163139, 29771, 4151, 6, 93350, 1751, 16932, 8580, 6, 4, 119055, 46646, 4852, 14081, 7746, 6319, 54260, 5666, 115768, 1644, 42493, 40653, 1982, 54260, 146887, 4, 6, 4, 3056, 230764, 26, 1211, 364, 52480, 13845, 42493, 2808, 6, 5, 6428, 99766, 68313, 19024, 42572, 710, 13845, 657, 75230, 16932, 4113, 1751, 16932, 8580, 6, 4, 2190, 5666, 51963, 9721, 76632, 1211, 220224, 2808, 6, 4, 220224, 2808, 1751, 54260, 49008, 4, 10705, 5666, 564, 128117, 26394, 1211, 6, 4, 41064, 51328, 1470, 54260, 59461, 24464, 220224, 2808, 42572, 20961, 1982, 54260, 2882, 7746, 6319, 54260, 1211, 15864, 54574, 7511, 2882, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 24857, 23050, 2865, 149010, 3056, 230764, 4151, 7369, 2648, 2819, 115556, 8580, 230764, 9213, 46244, 3056, 141353, 4838, 6, 2050, 6, 4, 51328, 115556, 8580, 292, 42572, 1644, 54260, 3131, 2190, 5666, 6, 148346, 137119, 6, 4, 220224, 2808, 55242, 129891, 6150, 75230, 620, 26612, 6293, 6, 4, 92500, 9424, 119718, 13456, 8580, 220224, 2808, 60980, 1211, 6255, 51328, 1470, 54260, 119132, 6, 4, 119055, 46646, 8947, 3056, 141107, 710, 2190, 5666, 2865, 43178, 32792, 13342, 2808, 1470, 30682, 3069, 2808, 6, 186145, 146887, 6, 4, 7369, 3056, 36324, 75230, 2808, 364, 23173, 2882, 6150, 6319, 54260, 1211, 69529, 196511, 60980, 1211, 2808, 30682, 3069, 2808, 34654, 35189, 8580, 2819, 24857, 3056, 292, 9424, 48350, 20961, 6, 5, 24857, 119055, 13845, 6255, 1470, 10918, 16747, 25491, 238144, 109995, 6, 4, 6255, 39484, 1470, 54260, 5666, 115768, 1644, 33960, 144295, 3131, 29060, 21422, 108020, 26, 1211, 19532, 75230, 2702, 46711, 54260, 115518, 6, 4, 159696, 1644, 6255, 874, 54260, 23269, 7508, 54260, 2648, 42493, 40653, 1982, 54260, 28320, 6, 5, 2808, 75230, 6, 4, 9424, 48350, 20961, 711, 6, 5, 26394, 74004, 45629, 159696, 4484, 711, 180403, 163139, 1644, 16803, 34654, 46244, 12483, 10676, 123736, 7972, 112595, 705, 20315, 10918, 24244, 23847, 75230, 101608, 9424, 48350, 20961, 711, 26394, 4852, 159870, 47709, 185143, 54745, 1211, 42493, 33960, 39293, 42023, 6, 4, 47833, 90284, 96418, 6655, 2190, 112304, 34533, 6, 148222, 152440, 13159, 4838, 54260, 23405, 16011, 75230, 2932, 8580, 705, 2451, 12045, 292, 46985, 2702, 46985, 97634, 506, 1157, 109995, 874, 54260, 23269, 364, 141943, 105884, 8580, 42572, 20961, 20033, 711, 132, 46985, 2702, 46985, 43649, 91595, 19532, 54260, 1211, 220224, 1211, 138716, 48350, 2205, 9424, 48350, 20961, 26, 2702, 122133, 4852, 6, 4, 6, 26394, 74004, 31177, 145702, 1470, 30682, 47833, 6681, 4151, 364, 104274, 6, 4, 2205, 4151, 207013, 2442, 9424, 54260, 2882, 39484, 8580, 2808, 30682, 47833, 6, 66313, 75230, 115518, 620, 64567, 8580, 10184, 13845, 87680, 7544, 155622, 48350, 3131, 29171, 13159, 1470, 75230, 13342, 2050, 77208, 15864, 24152, 90284, 96418, 16, 6, 5, 26394, 4852, 20961, 5, 10705, 5666, 180403, 6, 4, 90284, 96418, 6, 4, 1470, 75230, 4667, 711, 6, 97634, 506, 1751, 174410, 1982, 9934, 36326, 9424, 48350, 20961, 711, 132, 6093, 1751, 174410, 47332, 6, 4, 6, 148222, 73095, 22492, 174410, 12483, 7265, 10676, 182990, 1211, 71107, 657, 75230, 55823, 1211, 4269, 18167, 13342, 2808, 4151, 60980, 96256, 34575, 2808, 109636, 16, 6, 5, 10918, 5666, 22492, 128750, 54260, 506, 54260, 2882, 69741, 850, 711, 4151, 1470, 4944, 69855, 2205, 1751, 75230, 1211, 16175, 75230, 2882, 711, 657, 75230, 159212, 22518, 54260, 2882, 38, 220224, 2882, 874, 100575, 6, 148222, 196511, 230764, 6, 148222, 4269, 59929, 149311, 6, 5, 46985, 2702, 21087, 905, 35044, 75230, 159212, 3523, 88680, 230764, 6, 148222, 81414, 1982, 33104, 13159, 6, 4, 22518, 54260, 2882, 6, 128750, 54260, 506, 54260, 2882, 2190, 5666, 69741, 850, 711, 112593, 96418, 111215, 711, 73095, 22492, 205416, 12483, 711, 6655, 6319, 54260, 1211, 874, 151461, 42493, 6, 4, 43649, 20616, 2882, 6, 4, 292, 26612, 54260, 177282, 75230, 159212, 42493, 711, 7265, 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 ]
[ 119055, 46646, 6655, 657, 17645, 1982, 33960, 192061, 564, 61722, 6, 4, 2190, 5666, 7265, 17645, 119132, 4269, 69031, 13159, 7201, 64260, 54196, 6, 4, 55242, 129891, 20033, 1751, 75230, 1211, 6319, 119718, 15907, 6, 5, 46985, 2702, 46985, 69596, 6293, 230764, 4151, 81414, 18279, 23269, 6, 4, 90284, 96418, 711, 20315, 10918, 24244, 10705, 5666, 60980, 2702, 2702, 147848, 1470, 75230, 4667, 711, 112593, 96418, 119718, 23829, 9934, 36326, 3056, 37640, 90536, 24244, 705, 2451, 11937, 292, 10918, 5666, 22492, 64260, 3056, 7369, 19024, 6, 5, 7369, 3056, 55242, 46244, 4151, 3131, 90848, 112452, 33960, 119718, 69596, 1211, 24464, 10676, 21776, 3131, 6, 5, 107182, 13845, 7972, 905, 35044, 29771, 2865, 62808, 7746, 1751, 57277, 24152, 3069, 112711, 75230, 6293, 9934, 59929, 79981, 711, 9424, 48350, 20961, 26, 2702, 6, 128750, 54260, 16747, 6, 5, 6, 5, 6, 5, 36419, 42542, 7746, 6, 186145, 36909, 8580, 6, 5, 6, 5, 6, 5, 112593, 96418, 506, 29766, 23829, 1751, 75230, 1211, 1470, 75230, 2702, 657, 54260, 8903, 1211, 6, 4, 15, 13342, 2808, 32899, 90536, 24244, 7611, 16, 1751, 57277, 24152, 7746, 27720, 90536, 24244, 6, 4, 6235, 129891, 124724, 2190, 5666, 6, 84577, 39340, 2932, 8580, 6, 148222, 34654, 94790, 112711, 13159, 6, 236376, 8580, 20033, 3149, 55687, 42493, 6319, 54260, 1211, 620, 91595, 2702, 6, 5, 220771, 220224, 2808, 1285, 39293, 119055, 6093, 16932, 6, 4, 37640, 90536, 24244, 6, 5, 46985, 2702, 2702, 147848, 10705, 5666, 6235, 506, 62113, 194175, 1470, 159696, 4484, 6, 4, 164406, 4838, 24857, 42572, 39083, 4484, 119055, 46646, 2181, 3056, 21066, 31623, 156822, 230764, 194706, 6, 68558, 33960, 36909, 21106, 8580, 6, 4, 47567, 8580, 124724, 5332, 131445, 42493, 123736, 7201, 160204, 6, 4, 5950, 16932, 6, 5, 112593, 96418, 6, 5, 101328, 6, 4, 6235, 506, 1470, 159696, 4484, 6, 238144, 16932, 6, 4, 119055, 29060, 4838, 133880, 194706, 6319, 54260, 59461, 42493, 10213, 2451, 3131, 226112, 159212, 119055, 6093, 8580, 42572, 20961, 1285, 48350, 6093, 178766, 1751, 145161, 6, 5, 132, 186145, 1982, 32829, 24244, 17806, 16803, 47833, 194, 46985, 2702, 2702, 147848, 10705, 5666, 163139, 2808, 3056, 6, 62067, 171433, 147848, 705, 186145, 25491, 96951, 101608, 3056, 7265, 17824, 75230, 2702, 4151, 25391, 37016, 4838, 177282, 29771, 36909, 8580, 4838, 364, 54260, 2050, 6, 5, 874, 114436, 6, 4, 128750, 75230, 12483, 2190, 5666, 114955, 17806, 112452, 123736, 42023, 42572, 20961, 29659, 183512, 6, 4, 220224, 2808, 657, 75230, 36909, 8580, 2205, 21776, 159696, 1211, 6, 4, 21847, 54260, 4667, 163139, 2808, 6, 148222, 182990, 6, 159696, 21295, 6, 87442, 7746, 6, 5, 112593, 96418, 2451, 2358, 292, 31249, 64567, 8580, 3069, 2808, 1470, 54260, 1211, 364, 103755, 609, 50066, 47, 107, 771, 84022, 31, 2190, 5666, 4151, 1644, 141847, 6093, 8580, 6, 29060, 119718, 120467, 10705, 54561, 123073, 193012, 6, 5, 46985, 2702, 2702, 147848, 159696, 2442, 8947, 235466, 6, 23173, 68561, 9424, 119718, 26612, 109985, 58826, 46244, 564, 54260, 2050, 17190, 115518, 6, 4, 235466, 72788, 54260, 2050, 22518, 37016, 24464, 10676, 16175, 75230, 2882, 1470, 75230, 4667, 6150, 75230, 2808, 42572, 710, 13845, 6, 5, 112593, 96418, 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, 6150, 75230, 2808, 6, 4, 3056, 199250, 4151, 16175, 75230, 2882, 292, 4838, 61842, 6, 4, 20033, 55242, 129891, 26394, 4852, 20961, 26, 1211, 292, 221067, 6, 128750, 54260, 16747, 2819, 20033, 39484, 8580, 1470, 30682, 18583, 75290, 56169, 6, 148222, 9424, 54260, 2882, 119718, 46646, 7369, 119055, 39083, 2882, 7746, 6, 62073, 45629, 112452, 42572, 20961, 10676, 16175, 75230, 2882, 6, 5, 564, 35596, 7746, 47833, 6, 4, 12415, 94790, 112711, 13159, 6, 4, 6, 159696, 79981, 20033, 123736, 7201, 119055, 26612, 16629, 1211, 6, 148222, 364, 141943, 2205, 220224, 1211, 564, 137119, 6, 4, 78278, 6, 148222, 13845, 24295, 12890, 8903, 1211, 6, 4, 20033, 6, 159696, 79981, 18583, 1982, 69181, 18640, 8580, 178766, 4113, 1751, 159696, 38054, 8580, 6, 4, 20033, 6, 159696, 79981, 20961, 75230, 2702, 6235, 42023, 230764, 26, 1211, 46654, 40096, 7611, 6, 4, 20033, 6, 159696, 79981, 7265, 220224, 2808, 230764, 194706, 46711, 13159, 79981, 6, 4, 10705, 5666, 20033, 6, 159696, 79981, 1470, 75230, 2702, 22518, 54260, 12483, 64890, 69106, 364, 75230, 4667, 152, 56976, 711, 6, 128750, 54260, 506, 54260, 96256, 33104, 69741, 850, 711, 46985, 2702, 2702, 147848, 101328, 6, 4, 6, 101328, 6, 4, 657, 29771, 62808, 7746, 6, 68558, 564, 54260, 8903, 1211, 2200, 119055, 26612, 3131, 33809, 1211, 6, 148222, 364, 141943, 38, 73095, 159696, 79981, 1470, 159696, 4484, 110167, 850, 6, 4, 2205, 42572, 710, 13845, 15864, 54574, 6, 4, 564, 54260, 2808, 21374, 104971, 119055, 46646, 220224, 2808, 55242, 129891, 22492, 4667, 137765, 230764, 4151, 6, 159696, 21295, 42493, 2808, 6, 4, 119055, 29060, 18225, 6, 123083, 79981, 2205, 6, 148222, 32887, 2451, 40096, 6093, 8580, 42572, 710, 13845, 15864, 54574, 1285, 4113, 39293, 3373, 26394, 22492, 6, 4, 230764, 6150, 13845, 107581, 84349, 48775, 4667, 119055, 46646, 55242, 129891, 10705, 54561, 137765, 42493, 564, 92605, 62067, 6, 5, 112593, 96418, 10705, 5666, 163139, 36909, 710, 13845, 15864, 54574, 119055, 29060, 220224, 1211, 4838, 18583, 7511, 110317, 12483, 9424, 48350, 101503, 16175, 75230, 2882, 6, 5, 2190, 5666, 119718, 23829, 6150, 75230, 2808, 657, 176727, 7369, 137765, 23050, 115518, 117902, 22426, 7916, 29789, 13159, 48706, 26632, 75230, 4113, 24012, 115536, 29060, 6, 238144, 35189, 10339, 48775, 4667, 15, 29659, 75230, 1982, 16, 6, 5, 46985, 2702, 2702, 49792, 10705, 5666, 14856, 119055, 29060, 6, 160074, 47783, 6, 68558, 22444, 36909, 8580, 21776, 16932, 2702, 24464, 49920, 18583, 1644, 75230, 2442, 114436, 6, 128750, 54260, 506, 15907, 711, 2451, 14905, 5, 292, 20315, 10918, 24244, 3111, 2808, 6, 4, 20033, 6, 159696, 79981, 6235, 42023, 705, 46985, 2702, 2702, 147848, 101328, 6, 4, 20033, 6, 159696, 79981, 51963, 6235, 42023, 2819, 6, 212484, 5, 194706, 90284, 96418, 42572, 5594, 25207, 1211, 6, 4, 2190, 5666, 22492, 4667, 1470, 30682, 6, 159696, 79981, 49481, 23050, 42023, 6, 148222, 180141, 80885, 2190, 5666, 6, 148222, 10213, 80885, 24464, 148222, 34654, 94790, 112711, 13159, 6, 5, 132, 35189, 173102, 6093, 10069, 114436, 107776, 6, 5, 17537, 16, 112593, 96418, 119718, 23173, 2882, 1470, 75230, 2702, 711, 119055, 6093, 6235, 506, 2882, 8947, 705, 6, 62067, 32829, 24244, 173102, 6093 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10069, 114436, 46985, 46685, 10069, 114436, 112593, 96418, 6, 4, 874, 54260, 1211, 49920, 2442, 6655, 20033, 6, 66313, 54260, 149311, 42572, 20961, 124724, 6, 4, 874, 54260, 23269, 136645, 13159, 2808, 54260, 91275, 54260, 8903, 1211, 6, 4, 42572, 69803, 1211, 124724, 3069, 2808, 6, 148222, 42572, 710, 13159, 6, 4, 2205, 42572, 21106, 24295, 158548, 4, 47567, 6255, 1285, 68959, 64567, 8580, 24464, 220224, 23269, 2882, 6, 159696, 2932, 8580, 6, 4, 1285, 4113, 39293, 119055, 6093, 16932, 152, 137, 112593, 202936, 3056, 42572, 54260, 1211, 6, 4, 65902, 4113, 2932, 6, 4, 29659, 23173, 4484, 2190, 5666, 5332, 46244, 32792, 6, 4, 2190, 5666, 9424, 48350, 20961, 3056, 33960, 159696, 1211, 180141, 2190, 2932, 564, 75230, 39340, 6, 4, 54595, 75230, 2808, 163139, 2808, 4838, 6319, 54260, 168155, 6, 4, 2190, 5666, 4838, 24012, 1644, 17645, 1982, 16932, 6, 5, 6255, 39484, 90284, 96418, 26, 1211, 657, 17645, 25491, 33104, 6, 20616, 25207, 1470, 30682, 6, 4, 2190, 5666, 42572, 20961, 9424, 48350, 20961, 26, 1211, 39484, 6255, 874, 151461, 24012, 192061, 6, 4, 2190, 100863, 17645, 1982, 6, 66313, 40096, 6, 4, 2190, 5666, 123736, 7201, 33960, 8903, 115518, 564, 61722, 6, 5, 119055, 12483, 90284, 96418, 47567, 20033, 7369, 1644, 75230, 115518, 17806, 56052, 3069, 2808, 1470, 30682, 6, 68558, 4151, 22518, 37016, 4, 6150, 6255, 47567, 33960, 119718, 29766, 119055, 6093, 8580, 6, 4, 144754, 119055, 46646, 6655, 9424, 48350, 20961, 42572, 159870, 710, 35596, 220224, 1211, 16175, 75230, 2882, 6, 4, 119055, 13845, 6255, 10676, 16175, 75230, 96986, 26394, 4852, 20961, 26, 1211, 42493, 657, 17645, 1982, 39484, 8580, 6150, 75230, 2808, 163139, 2808, 10676, 17190, 12890, 10069, 129891, 90284, 96418, 2819, 7265, 2808, 54260, 1211, 88771, 1644, 17645, 1982, 95494, 159212, 119055, 29060, 6, 62067, 32829, 24244, 49481, 6235, 42023, 49481, 10676, 42572, 54260, 119132, 112593, 96418, 26, 1211, 6, 4, 7369, 119055, 29060, 7746, 7265, 1470, 30682, 16175, 54260, 79981, 10676, 7213, 215052, 14081, 6, 4, 220224, 23269, 181692, 850, 2190, 5666, 7265, 10676, 22518, 37016, 24464, 10676, 101251, 1982, 34882, 84577, 8580, 6, 159696, 2932, 137, 54595, 75230, 54595, 62067, 6, 62067, 32829, 24244, 155, 292, 874, 54260, 1211, 49920, 2442, 6, 5, 112593, 96418, 2442, 54260, 1211, 49920, 2442, 3056, 2882, 19302, 23964, 2190, 5666, 42572, 54260, 1211, 6, 4, 6255, 39484, 6, 159696, 129891, 1470, 30682, 43649, 186797, 165592, 2808, 874, 54260, 3111, 23405, 24012, 192061, 6, 4, 1751, 7682, 1470, 30682, 4838, 506, 6093, 6, 4, 710, 2190, 5666, 7369, 119055, 29060, 6, 150839, 186955, 8580, 119055, 46646, 2451, 9464, 292, 6093, 163139, 1644, 2819, 2190, 5666, 49481, 10676, 6, 4, 1751, 159696, 2442, 6255, 6, 4, 6150, 7369, 119055, 29060, 7746, 192183, 8580, 6, 4, 6, 68558, 26612, 69529, 42572, 20616, 44478, 6, 4, 101251, 75290, 8580, 7746, 6, 5, 46985, 46685, 10069, 114436, 168892, 119055, 13845, 1470, 30682, 27702, 50853, 9721, 141847, 8580, 72649, 6093, 3069, 2808, 6, 5, 112593, 96418, 168892, 6, 238144, 2702, 6, 4, 6150, 7369, 119055, 29060, 220224, 1211, 178766, 72577, 6093, 6, 128750, 54260, 16747, 6, 5, 46985, 2702, 2702, 147848, 168892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119055, 39083, 2882, 24857, 220224, 6093, 33960, 119718, 39083, 2882, 6, 4, 51328, 6255, 39484, 5950, 7611, 874, 151461, 152, 2648, 46646, 207748, 8903, 36909, 5594, 1644, 22518, 87442, 205026, 55242, 46244, 6, 5, 132, 62067, 32829, 24244, 107776, 47833, 16, 112593, 96418, 64260, 3056, 7369, 6, 5, 72577, 119055, 46646, 180403, 564, 34533, 4269, 100436, 56052, 6, 4, 6, 62067, 32829, 14088, 711, 62067, 32829, 24244, 132, 2808, 75230, 2702, 6319, 123073, 119718, 186797, 9424, 48350, 20961, 26, 2702, 6, 75290, 59919, 16, 2808, 75230, 43649, 23173, 75290, 9424, 48350, 20961, 6, 4, 180403, 6, 186461, 16803, 2205, 10339, 48775, 4667, 711, 4838, 24857, 3056, 20961, 75230, 2702, 3523, 100436, 56052, 24464, 51963, 6428, 54260, 23269, 1470, 54260, 23269, 2865, 17310, 6, 4, 17824, 75230, 95564, 54260, 2882, 2190, 5666, 657, 75230, 1982, 17310, 6, 4, 119718, 46646, 6, 148222, 44917, 5666, 26394, 6, 159696, 21295, 6655, 1285, 4667, 57906, 75230, 47332, 705, 42572, 6093, 17160, 54260, 1982, 711, 6, 5, 6, 5, 6, 5, 292, 27720, 65848, 36723, 6, 4, 6255, 6, 238144, 2702, 42493, 1470, 54260, 123073, 874, 54260, 5666, 109226, 6, 4, 6, 159696, 189098, 564, 137119, 147062, 7746, 2808, 75230, 2702, 4269, 21292, 12483, 705, 119055, 6093, 3056, 19024, 1470, 54260, 1211, 40653, 161459, 705, 1470, 75230, 6, 97634, 46685, 6255, 38, 3056, 7511, 96256, 42572, 20961, 4151, 1751, 226112, 6293, 6319, 54260, 1211, 216333, 4113, 73095, 17494, 152848, 6, 4, 163139, 2808, 2205, 4151, 97816, 36909, 2884, 9424, 48350, 20961, 26, 2702, 16175, 75230, 2882, 2819, 73095, 3056, 42493, 2808, 49481, 36324, 2808, 1470, 54260, 23405, 17171, 2865, 65482, 19532, 210326, 6, 4, 119718, 23829, 6, 148222, 1751, 159696, 38054, 8580, 119055, 46646, 55242, 129891, 27702, 186479, 710, 56169, 7265, 10676, 16175, 54260, 93497, 146887, 2190, 5666, 144754, 10676, 42572, 54260, 16667, 146887, 564, 137119, 24464, 4151, 6, 159696, 21295, 6, 5, 1470, 10918, 16747, 3056, 20033, 55242, 46244, 31249, 91595, 6, 4, 564, 29060, 6255, 1470, 54260, 4667, 6, 4, 42572, 39083, 98833, 1470, 75230, 2702, 874, 54260, 1211, 163139, 13497, 3131, 6, 4, 2376, 25890, 1470, 54260, 123073, 506, 43178, 2442, 78104, 20260, 12483, 49481, 2205, 564, 137119, 2819, 6255, 47567, 44064, 17190, 115518, 16175, 75230, 30473, 16747, 58826, 46244, 6, 4, 119718, 39083, 2882, 6255, 42493, 24012, 159696, 1211, 6150, 75230, 17824, 54260, 2882, 73784, 16175, 75230, 2882, 6, 5, 8947, 3056, 20033, 187055, 1470, 54260, 23405, 71512, 2865, 114436, 1751, 174410, 115518, 19024, 23050, 115518, 9424, 48350, 20961, 26, 1211, 6, 4, 24464, 6, 148222, 364, 141943, 24464, 6150, 13845, 107581, 5, 2451, 14929, 292, 96302, 16629, 1211, 6150, 75230, 2808, 163139, 2808, 9213, 46244, 6, 4, 6, 148222, 65902, 2932, 80885, 24464, 10676, 110167, 711, 112593, 96418, 62067, 32829, 24244, 6, 4, 10676, 16175, 75230, 2882, 564, 29060, 42493, 24464, 194706, 6, 5, 9174, 26632, 3131, 20033, 39484, 8580, 6093, 29659, 123736, 7201, 42493, 17537, 36324, 2808, 6, 56052, 196511, 6, 4, 2190, 5666, 119055, 16870, 186461, 178766, 4113, 364, 141943, 6, 4, 6, 238144, 109995, 62808, 1470, 75230, 2702, 1470, 4944, 104971, 2190, 5666, 564, 137119, 4852, 75230, 59461, 2702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 4, 44917, 46244, 180403, 55242, 506, 16803, 44917, 46244, 1285, 43590, 141943, 6, 4, 2205, 220224, 6093, 564, 137119, 93975, 196511, 152, 95298, 178766, 4113, 49920, 138194, 55242, 506, 16803, 18133, 32829, 2882, 6, 5, 174538, 54260, 2648, 17310, 3056, 19024, 2205, 220224, 2808, 6, 4, 51328, 24857, 174538, 54260, 2648, 3069, 2808, 6, 148222, 10705, 2865, 97594, 112452, 24464, 22444, 28714, 6655, 4269, 81824, 6235, 159696, 42023, 6, 5, 292, 2190, 5666, 9424, 48350, 20961, 3056, 33960, 36909, 21106, 8580, 2882, 75230, 2882, 6, 5, 15, 35189, 620, 26612, 36909, 6093, 6093, 42572, 71804, 2050, 42572, 186955, 47783, 19532, 54260, 1211, 2205, 10676, 29659, 23173, 75290, 8580, 16, 51328, 42572, 20961, 124724, 6, 4, 6, 62067, 32829, 24244, 119055, 29060, 178766, 1751, 159696, 38054, 220224, 1211, 7265, 26612, 43449, 54260, 114436, 6, 95494, 63020, 6, 5, 292, 7265, 6, 128750, 54260, 16747, 83957, 159212, 6235, 115518, 20033, 124724, 178766, 20616, 141943, 6, 4, 7265, 72577, 78956, 35189, 95494, 159212, 23050, 56052, 20033, 1285, 4667, 19532, 54260, 1211, 2205, 178766, 8903, 2865, 54260, 152848, 6, 4, 20033, 23050, 56052, 1285, 4667, 6, 23173, 54260, 1211, 7265, 178766, 72577, 8580, 163139, 79981, 6, 4, 7265, 17824, 75230, 2702, 1982, 28317, 6, 4, 2190, 5666, 7265, 4838, 364, 54260, 2702, 143064, 95494, 159212, 6, 5, 46985, 2702, 202075, 95766, 10676, 27702, 29659, 710, 51723, 6, 148222, 44917, 54260, 4113, 81444, 1644, 163177, 113889, 73215, 1211, 6, 4, 119055, 29060, 220224, 1211, 6428, 54260, 1211, 140746, 34076, 54260, 4667, 7265, 51963, 6, 5, 112593, 96418, 22492, 2442, 657, 54260, 2648, 40653, 711, 137765, 6428, 23173, 36909, 8580, 20033, 1470, 54260, 1211, 67826, 79981, 24857, 36909, 39083, 4484, 6, 4, 292, 8947, 3056, 51328, 1470, 75230, 101608, 7746, 24464, 4151, 22518, 37016, 6, 4, 292, 2190, 5666, 49481, 20315, 2050, 6, 159696, 79981, 20033, 4151, 8300, 54260, 79981, 6, 4, 42572, 20961, 119055, 46646, 55242, 129891, 20033, 7746, 6150, 75230, 9356, 185337, 8580, 144754, 9424, 48350, 20961, 26, 1211, 6, 4, 9174, 26632, 3131, 6255, 39484, 1470, 30682, 143064, 33960, 192061, 2205, 4151, 207013, 2442, 130988, 2882, 119055, 46646, 14856, 6655, 1470, 30682, 10676, 138716, 12483, 19532, 54260, 1211, 6, 62073, 97634, 211169, 6, 5, 62067, 32829, 24244, 95766, 6428, 54260, 1211, 9174, 66362, 7501, 6255, 42493, 55726, 42410, 6, 4, 204982, 20033, 1470, 54260, 89184, 564, 137119, 93975, 506, 141943, 6, 5, 180403, 6, 128750, 63188, 6, 4, 90284, 96418, 6, 4, 137765, 292, 60980, 147848, 60980, 2702, 2702, 147848, 6, 4, 180403, 20315, 10918, 24244, 6, 4, 180403, 58573, 13845, 7972, 24244, 6, 4, 180403, 21422, 5666, 22492, 6, 4, 180403, 9356, 506, 29766, 8300, 16932, 60980, 2702, 46985, 6, 4, 2451, 15124, 292, 10705, 5666, 73784, 158628, 8580, 6, 186145, 1982, 32829, 24244, 6, 4, 4151, 141879, 2442, 2205, 364, 104274, 8300, 119718, 24295, 23269, 5666, 292, 7511, 2882, 2205, 143064, 95494, 159212, 6, 5, 221067, 6, 128750, 54260, 16747, 6, 4, 292, 1470, 75230, 6, 238144, 2808, 711, 292, 119055, 46646, 6, 94741, 63020, 168892, 7508, 54260, 122623, 705, 24857, 19024, 119718, 63188, 5666, 113889, 73215, 3069, 2808, 20033, 43649, 20616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 137765, 230764, 4838, 97594, 48253, 123329, 7369, 2648, 6, 4, 6255, 147062, 7746, 137765, 42572, 20961, 1470, 54260, 4667, 6, 238144, 109995, 6150, 75230, 2808, 163139, 2808, 26612, 364, 33104, 6293, 6, 4, 84475, 6150, 75230, 2808, 163139, 2808, 1470, 54260, 1211, 40653, 33960, 25391, 34882, 127684, 6, 5, 132, 6093, 6319, 123073, 159696, 2882, 7746, 1470, 75230, 2702, 3069, 2808, 9424, 48350, 20961, 26, 2702, 6, 75290, 59919, 6, 4, 6, 5, 2190, 5666, 152036, 5, 16, 10069, 4667, 39484, 6255, 143064, 33960, 192061, 6, 4, 9424, 48350, 20961, 6, 4, 292, 24857, 3056, 88771, 6, 4, 2190, 5666, 1470, 75230, 46104, 54260, 1211, 3523, 83586, 55242, 506, 2882, 194706, 1470, 13342, 16747, 6, 4, 119055, 29060, 9213, 46244, 33960, 119718, 21292, 42493, 220224, 1211, 1470, 54260, 23405, 71512, 56052, 13342, 2808, 17806, 112452, 6, 4, 163139, 2808, 6150, 75230, 2808, 67882, 24152, 6, 62067, 32829, 24244, 620, 34533, 4838, 56976, 7265, 6428, 54260, 5666, 79907, 22492, 448, 6, 4, 2190, 5666, 9424, 119718, 23174, 2882, 220224, 89184, 564, 137119, 93975, 364, 141943, 6, 5, 2190, 5666, 163139, 2808, 705, 42572, 20961, 6428, 54260, 1211, 75290, 59919, 119055, 46646, 60980, 1211, 7746, 1751, 75230, 1211, 42493, 7508, 9221, 12483, 6, 5, 17824, 75230, 101608, 9424, 48350, 20961, 711, 119055, 12483, 6255, 4852, 14081, 39484, 8580, 6150, 75230, 2808, 42572, 710, 13845, 1470, 75230, 2932, 8580, 6, 4, 163139, 2808, 42572, 710, 13845, 7508, 48904, 13159, 73095, 3056, 81444, 9213, 6428, 54260, 1211, 75290, 59919, 6, 4, 2190, 5666, 6255, 165097, 134973, 12483, 6150, 75230, 2808, 1751, 57277, 24152, 6, 238144, 49008, 6, 4, 163139, 2808, 180141, 2648, 46646, 564, 137119, 3523, 34533, 7746, 24464, 124724, 7508, 7682, 13159, 238144, 2702, 6, 4, 292, 119055, 39083, 2882, 2190, 2648, 14004, 33960, 159696, 42023, 2808, 54260, 23405, 71512, 2865, 127684, 6, 4, 1470, 54260, 35189, 6, 4, 6150, 6428, 54260, 1211, 72577, 6093, 6, 128750, 54260, 16747, 6, 4, 47567, 42572, 20961, 9915, 54260, 122623, 26612, 564, 88917, 7265, 6428, 54260, 23269, 22444, 8300, 36484, 711, 42572, 6093, 8300, 54260, 4113, 20033, 6, 4, 1470, 75230, 135289, 24244, 711, 6150, 75230, 2808, 119718, 23829, 4838, 49920, 3131, 12023, 126934, 19024, 6, 62073, 120467, 8580, 33960, 119718, 69596, 1211, 6, 4, 81444, 12023, 126934, 33960, 36909, 21106, 8580, 6, 4, 2190, 16747, 2808, 6, 105235, 42023, 6428, 54260, 23269, 4269, 59094, 12130, 128364, 94626, 56169, 7265, 6428, 54260, 1211, 564, 137119, 6, 5, 6, 148222, 6, 159696, 21295, 68313, 33960, 159696, 42023, 4838, 119055, 21106, 2648, 42572, 20961, 1285, 104149, 49920, 3131, 6, 4, 2190, 5666, 7369, 6, 4, 4151, 49920, 3131, 3056, 25222, 159696, 42023, 24857, 364, 23173, 7611, 24464, 4151, 6, 159696, 21295, 6, 5, 1470, 75230, 9424, 48350, 20961, 711, 163139, 2808, 6150, 75230, 2808, 180403, 1982, 34533, 34076, 54260, 4667, 230764, 1470, 54260, 1211, 49920, 3131, 119055, 46646, 6, 148222, 33960, 159696, 21295, 161459, 39484, 8580, 1470, 30682, 35189, 506, 23173, 2932, 15907, 711, 46985, 2702, 2702, 147848, 62067, 32829, 24244, 711, 62067, 32829, 24244, 36909, 6093, 8300, 54260, 4113, 20033, 6, 4, 60980, 147848, 60980, 2702, 2702, 147848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 4, 24857, 6, 159696, 79981, 44064, 220771, 8580, 9424, 48350, 20961, 26, 2702, 12, 6150, 73095, 3056, 24012, 238144, 5666, 32792, 6150, 75230, 23269, 24012, 36909, 5594, 79981, 2205, 4838, 72577, 8580, 6, 128750, 54260, 16747, 711, 46985, 2702, 2702, 147848, 35189, 42572, 20961, 119055, 46646, 180403, 657, 75230, 1982, 16803, 6, 26394, 74004, 61621, 292, 119055, 13845, 6255, 124724, 42493, 2451, 4948, 292, 6093, 61397, 15864, 211169, 2819, 51328, 220771, 230764, 199145, 123073, 238354, 8580, 10213, 31249, 34533, 905, 7746, 7265, 10705, 54561, 152, 6150, 75230, 2808, 163139, 2808, 4838, 72577, 6093, 6, 128750, 54260, 16747, 705, 3069, 2808, 20033, 14856, 129891, 7746, 6235, 42023, 2205, 10705, 54561, 6093, 6, 159696, 2932, 6, 68558, 6428, 54260, 1211, 7265, 60403, 705, 62067, 32829, 24244, 2808, 75230, 6293, 4838, 210228, 24464, 143064, 95494, 159212, 39484, 6255, 1470, 54260, 4667, 33960, 8903, 115518, 874, 54260, 1211, 364, 183512, 6, 5, 22492, 2442, 147582, 34709, 14088, 39484, 6255, 4838, 6, 98055, 204982, 17537, 230764, 9424, 48350, 20961, 26, 1211, 39484, 6255, 42572, 20961, 23269, 149311, 6, 5, 6, 101328, 6, 4, 6255, 7501, 1470, 54260, 6093, 72577, 6093, 6, 128750, 54260, 16747, 6, 4, 2190, 5666, 39484, 1470, 54260, 4667, 657, 17645, 1982, 6, 4, 168892, 7501, 42572, 20961, 30473, 104238, 2882, 6150, 9213, 46244, 119055, 29060, 205026, 7369, 21733, 20616, 12415, 1211, 292, 163139, 2808, 6150, 75230, 2808, 10705, 5666, 7265, 119055, 46646, 3056, 7369, 24012, 159696, 42023, 874, 241843, 705, 112593, 96418, 62808, 6, 159696, 79981, 4151, 8300, 54260, 79981, 2819, 1470, 83182, 3131, 119055, 29060, 220224, 1211, 178766, 101759, 163139, 50853, 6, 5, 148222, 34482, 74004, 4944, 12483, 6, 4, 119055, 13845, 107581, 39484, 8580, 33960, 13458, 115536, 4151, 3069, 2808, 6, 4, 55242, 129891, 6150, 75230, 2808, 119718, 710, 40920, 18640, 6, 4, 6150, 180403, 47567, 16803, 220224, 1211, 44064, 4838, 22753, 42023, 9424, 48350, 20961, 26, 2702, 6, 4, 119055, 39083, 126934, 1470, 75230, 4667, 36909, 23173, 29659, 32829, 1211, 6150, 20033, 55242, 129891, 42493, 6150, 75230, 2808, 180141, 101251, 2932, 9221, 91595, 6, 5, 62067, 32829, 24244, 168892, 119055, 13845, 7746, 1751, 75230, 1211, 14856, 46244, 42493, 4151, 42572, 25207, 2932, 8580, 6, 5, 6255, 163139, 1644, 3523, 65285, 146887, 1470, 54260, 1211, 196511, 6, 4, 7369, 1644, 75230, 47332, 20033, 23050, 56052, 10676, 6, 75290, 59919, 6, 4, 2190, 5666, 19532, 75230, 34575, 29771, 2932, 8580, 1470, 30682, 230764, 10676, 10339, 71804, 7611, 2205, 3069, 54595, 2808, 51723, 7265, 6, 148222, 81414, 18279, 23269, 51437, 158291, 8580, 6428, 99766, 1470, 54260, 1211, 7508, 54260, 20315, 23050, 115518, 220224, 1211, 6, 228605, 6, 4, 6150, 75230, 2808, 163139, 2808, 1470, 54260, 1211, 221067, 1211, 112593, 35189, 107776, 6, 5, 112593, 96418, 2648, 54260, 1211, 159889, 185143, 180403, 4269, 25046, 75230, 13845, 2882, 6, 4, 6, 62067, 32829, 24244, 6, 5, 46985, 2702, 2702, 147848, 112593, 96418, 6, 4, 230764, 9424, 238144, 2808, 119055, 6093, 16932, 711, 15, 95766, 4151, 220224, 2882, 16, 180403, 6, 238144, 16803, 14081, 54260, 1211, 42493, 6, 4, 119055, 46646, 180403, 33718, 506, 16803, 2819, 7369, 1644, 75230, 1982, 1470, 30682, 42493, 230764, 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 ]
[ 6, 75290, 59919, 13342, 2808, 7508, 54260, 122623, 6, 5, 27702, 210674, 7746, 51328, 6, 4, 163139, 2808, 6150, 75230, 2808, 67882, 24152, 6, 62067, 32829, 24244, 60980, 1211, 2808, 75230, 6293, 34654, 35189, 8580, 24857, 42572, 14081, 4484, 7265, 220224, 1211, 7508, 54260, 20315, 6, 5, 2451, 14810, 292, 112593, 96418, 85465, 200117, 6319, 54260, 1211, 874, 151461, 42493, 6, 4, 60980, 2702, 2702, 49792, 6, 4, 230764, 4151, 81414, 18279, 23269, 119055, 13845, 6255, 35189, 184639, 19532, 75230, 6293, 4269, 54260, 1211, 2190, 5666, 119055, 13845, 27702, 50853, 6, 148222, 34482, 170355, 107581, 24464, 9424, 48350, 20961, 26, 16803, 75230, 2882, 4151, 26394, 506, 79981, 6, 4, 6150, 15864, 24152, 6, 62067, 32829, 24244, 202446, 4838, 5, 7508, 54260, 20315, 7265, 178766, 6093, 1644, 75230, 12890, 207591, 6, 4, 6150, 20033, 5950, 54260, 1211, 163139, 79981, 24857, 6, 4, 6150, 564, 54260, 2808, 4151, 6, 92341, 26659, 47567, 51723, 123736, 7201, 11211, 96986, 51963, 3373, 65504, 448, 6, 4, 2190, 5666, 14856, 47567, 120202, 6235, 115518, 158504, 10676, 6658, 54595, 75230, 2808, 163139, 2808, 73095, 6, 66313, 6093, 3069, 2808, 220224, 1211, 6, 5, 24857, 155261, 119055, 29060, 194706, 42493, 29566, 146887, 6, 4, 13159, 119055, 29060, 33960, 104238, 220224, 1211, 18583, 194706, 4838, 61842, 6, 5, 46985, 2702, 2702, 147848, 168892, 6, 238144, 2702, 42493, 6, 4, 119055, 46646, 73095, 119055, 29060, 220224, 1211, 6, 4, 51328, 20033, 6235, 36909, 20616, 21295, 2648, 46646, 42493, 6, 5, 112593, 96418, 3111, 2808, 6, 62067, 32829, 14088, 6, 119132, 6, 26394, 33353, 26, 2702, 6, 75290, 59919, 6, 4, 51328, 2205, 6, 148222, 7508, 54260, 20315, 119718, 46646, 180403, 119055, 119273, 202446, 8580, 23050, 115518, 6, 228605, 47567, 16803, 180403, 194706, 42493, 22753, 55546, 12483, 2819, 26394, 74004, 71945, 178748, 16803, 180403, 657, 75230, 115518, 6, 4, 6150, 75230, 2808, 163139, 2808, 180403, 163139, 1644, 16803, 6, 5, 6, 225975, 6, 4, 6150, 24857, 34079, 506, 126934, 7265, 2190, 61397, 163139, 79981, 6, 4, 4838, 83182, 3131, 153850, 8580, 20033, 1285, 4667, 42493, 4151, 212484, 1211, 54595, 180403, 47567, 16803, 39484, 8580, 4838, 20585, 2205, 220224, 1211, 9356, 506, 186955, 8580, 6, 5, 180403, 6428, 23173, 36909, 16803, 506, 158291, 8580, 6, 148222, 7508, 54260, 20315, 230764, 4151, 1470, 54260, 2932, 161459, 81414, 18279, 23269, 6, 4, 230764, 119055, 13845, 104238, 6255, 159696, 1644, 137765, 19532, 75230, 6293, 4269, 54260, 1211, 6, 4, 2190, 5666, 7369, 29659, 6150, 6255, 119055, 13845, 6, 186797, 8580, 874, 54260, 1211, 7508, 54260, 20315, 4852, 14081, 16803, 180403, 6, 68558, 364, 54260, 115518, 7508, 54260, 122623, 6, 5, 62067, 32829, 24244, 212484, 220224, 1211, 6150, 75230, 2808, 6, 4, 874, 54260, 1211, 6, 94741, 63020, 6255, 141107, 42493, 6, 5, 112593, 96418, 3111, 2808, 17824, 54260, 2882, 3069, 2808, 10676, 6, 75290, 59919, 6, 4, 2190, 5666, 49481, 10676, 6235, 506, 49481, 194706, 6, 5, 132, 203387, 133880, 6, 13497, 32829, 24244, 26, 1211, 6235, 506, 12483, 1470, 159696, 4484, 16, 6, 5, 62067, 32829, 24244, 36909, 6093, 8300, 54260, 506, 4113, 20033, 6, 4, 564, 137119, 93975, 17824, 88945, 7369, 2648, 6, 4, 119055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46646, 6255, 9174, 5666, 29111, 6428, 54260, 23269, 2451, 14154, 292, 2442, 34365, 36484, 711, 48706, 75230, 1982, 24464, 10676, 42572, 54260, 16667, 146887, 24464, 6, 148222, 115556, 8580, 6, 4, 119055, 46646, 39484, 8580, 2808, 88680, 24012, 28726, 47332, 230764, 4151, 6, 159696, 21295, 711, 1470, 75230, 6, 4, 6, 238144, 2808, 3056, 4151, 364, 104274, 6, 4, 119055, 46646, 192061, 36324, 2808, 16175, 54260, 6093, 564, 137119, 18583, 2932, 120467, 8580, 711, 137765, 119055, 13845, 6255, 3523, 12890, 20308, 220771, 8580, 230764, 2648, 54260, 23269, 7508, 48904, 13159, 6, 4, 119055, 46646, 55242, 129891, 6150, 75230, 2808, 163139, 2808, 4838, 67826, 2865, 46685, 8300, 17310, 6, 4, 39484, 8580, 220224, 2808, 2808, 75230, 6293, 6, 142170, 36909, 41595, 6, 148222, 7508, 75230, 18415, 657, 42733, 55823, 1211, 2190, 5666, 10213, 146887, 564, 54260, 2808, 20033, 1470, 54260, 1211, 52059, 6, 4, 2205, 159696, 2442, 16932, 6, 5, 292, 6255, 6, 225975, 1470, 54260, 4667, 6, 128750, 63188, 6150, 4838, 6, 148222, 564, 88917, 12483, 6, 159696, 79981, 6, 68558, 3149, 26612, 156325, 9213, 200651, 17645, 24464, 51963, 220224, 146887, 6, 5, 564, 137119, 6, 4, 2190, 5666, 40599, 60639, 119055, 29060, 220224, 1211, 6150, 75230, 32829, 238144, 5666, 32792, 6, 4, 2190, 5666, 1751, 25207, 112452, 6, 159696, 79981, 220224, 1211, 6150, 75230, 2808, 44917, 506, 13497, 6, 17645, 122623, 564, 37016, 62067, 6, 4, 6150, 11556, 16932, 2702, 6, 159696, 79981, 7265, 4838, 57906, 91595, 9221, 17806, 112452, 230764, 220224, 89184, 114955, 163139, 2808, 220224, 2808, 159696, 12415, 1211, 6, 66313, 23173, 2932, 15907, 2205, 4151, 6, 112353, 2819, 24857, 24012, 238144, 5666, 7972, 4944, 4484, 54260, 2882, 3069, 2808, 1470, 128722, 12415, 850, 159696, 2882, 4269, 81824, 220224, 1211, 10676, 6, 31177, 83811, 6, 4, 9424, 48350, 20961, 26, 2702, 3523, 83586, 6, 4, 119055, 46646, 22518, 54260, 2882, 1470, 75230, 2702, 20260, 7758, 6, 4, 119055, 29060, 17806, 56052, 7265, 10676, 41545, 4667, 42572, 710, 119132, 6, 66313, 66293, 6, 4, 2190, 5666, 119055, 29060, 19532, 75230, 49268, 905, 36909, 8580, 7265, 4838, 6319, 54260, 168155, 32792, 52059, 3069, 2808, 4151, 874, 183599, 2819, 7369, 119055, 29060, 3069, 2808, 6, 212484, 8580, 148222, 364, 141943, 24464, 4151, 6, 112353, 6, 4, 2190, 5666, 6, 148222, 7544, 10705, 36419, 40599, 29400, 119055, 29060, 3069, 2808, 99176, 2932, 8580, 119055, 6093, 8580, 230764, 4151, 44917, 57619, 6093, 6, 159696, 21295, 7265, 10676, 10498, 37016, 24464, 1285, 26632, 75230, 18415, 6, 75290, 59919, 2702, 6, 4, 6, 159696, 2932, 8580, 4151, 6319, 109184, 24464, 6, 148222, 220224, 36909, 26394, 83182, 711, 2451, 15111, 292, 62067, 32829, 24244, 2648, 46646, 364, 23173, 7611, 6655, 7746, 2205, 124724, 4151, 1982, 23173, 710, 63532, 705, 6, 97634, 506, 6235, 506, 1470, 159696, 46985, 33104, 6, 238144, 1211, 6, 5, 6255, 55242, 506, 6, 4, 4151, 6, 238144, 15231, 2932, 3056, 3069, 2808, 6235, 21733, 4113, 23741, 6, 4, 6150, 6255, 55242, 506, 2648, 54260, 23269, 46711, 6093, 8580, 6, 4, 107776, 4838, 42572, 54260, 4944, 46545, 54260, 2882, 230764, 874, 54260, 23269, 1470, 75230, 2932, 8580, 6, 5, 292, 3056, 6428, 54260, 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 ]
[ 506, 6093, 2442, 6428, 99766, 705, 46985, 46685, 10069, 114436, 6093, 3523, 91595, 176727, 22753, 4113, 1982, 12483, 874, 54260, 1644, 24464, 22444, 28714, 6, 5, 62067, 32829, 905, 35044, 75230, 6293, 33960, 104238, 98252, 3069, 2808, 1470, 30682, 4, 7265, 4151, 13754, 20616, 292, 119055, 46646, 6655, 4852, 18167, 33960, 99176, 36909, 8580, 6, 5, 22444, 28714, 3056, 2205, 6, 238144, 15231, 8903, 1211, 6, 4, 22444, 28714, 3056, 2205, 6, 147185, 6, 4, 22444, 28714, 68313, 2205, 101251, 97594, 165354, 2819, 22444, 28714, 3056, 137765, 42572, 20961, 6, 125942, 2808, 119718, 147848, 26, 1211, 874, 241843, 2819, 6, 225975, 2808, 30682, 6, 159696, 2932, 8580, 10676, 711, 84475, 119055, 23173, 2882, 1470, 75230, 2702, 6, 4, 6255, 119055, 13845, 6, 128750, 63188, 40653, 99176, 2932, 8580, 10676, 6, 75290, 59919, 230764, 26, 1211, 10339, 71804, 7611, 6, 4, 6255, 119055, 13845, 6428, 99766, 202446, 8580, 4838, 7508, 54260, 20315, 10705, 5666, 119055, 13845, 4838, 6, 98055, 97483, 42023, 6, 4, 119055, 46646, 42572, 20961, 4838, 874, 54260, 3111, 23405, 6655, 24857, 42572, 39083, 4484, 6, 159696, 129891, 20315, 2050, 1470, 128722, 12415, 850, 24464, 6, 148222, 564, 137119, 4852, 75230, 61397, 2702, 6, 5, 54745, 16667, 122165, 2882, 6, 159696, 126934, 6, 125942, 2808, 119718, 147848, 26, 1211, 26612, 13754, 20616, 6235, 115518, 163139, 2808, 6150, 75230, 2808, 4151, 64769, 8580, 202446, 137765, 6, 5, 292, 45223, 6293, 20033, 6, 5, 132, 4852, 54260, 2808, 6235, 42023, 1470, 159696, 4484, 7265, 9424, 48350, 20961, 26, 2702, 6, 75290, 59919, 16, 304, 2451, 18415, 126230, 15231, 22492, 6, 5, 13342, 2050, 98664, 7611, 163139, 2808, 14856, 10339, 147713, 2882, 7746, 3069, 112711, 75230, 6293, 23050, 56052, 6, 4, 2205, 22444, 28714, 6, 4, 25491, 21733, 20616, 12415, 1211, 163139, 40920, 93975, 64769, 33188, 6, 4, 6, 104378, 47833, 90284, 96418, 6, 4, 60980, 2702, 2702, 49792, 6, 4, 2808, 75230, 1470, 6, 190281, 191069, 43393, 10954, 448, 6, 5, 29659, 26632, 43393, 10954, 448, 62808, 42572, 29771, 35189, 8580, 1470, 54260, 1211, 7369, 21733, 20616, 2442, 17310, 74, 204982, 194706, 1470, 54260, 1211, 7369, 21733, 20616, 2442, 17310, 711, 112593, 202936, 5, 3111, 2808, 6, 4, 6235, 506, 2882, 49481, 49481, 20033, 6, 4, 874, 54260, 23269, 221067, 6, 128750, 54260, 16747, 6, 4, 2190, 5666, 364, 77188, 2451, 17446, 292, 2808, 75230, 2702, 119055, 46646, 6255, 119055, 13845, 1470, 54260, 4667, 220771, 8580, 6, 5, 657, 29771, 2865, 62808, 7746, 3069, 2808, 16175, 54260, 79981, 6, 5, 180403, 6, 4, 46985, 2702, 2702, 147848, 6, 4, 6235, 506, 4838, 159696, 4484, 2205, 1470, 54260, 1211, 1470, 83182, 6, 99766, 6, 5, 4151, 119055, 46646, 163139, 76866, 205026, 506, 6093, 8580, 292, 6, 212484, 19024, 43449, 54260, 115518, 6, 4, 221895, 1157, 109995, 23050, 42023, 49481, 60980, 2702, 2702, 147848, 7611, 6, 4, 2190, 5666, 62808, 6, 159696, 79981, 18583, 8580, 71107, 123736, 7201, 6235, 115518, 75773, 24464, 9424, 48350, 20961, 26, 2702, 16175, 75230, 2882, 6, 5, 418, 2451, 16932, 191069, 31807, 20305, 168892, 119055, 13845, 49920, 8580, 90284, 96418, 26, 1211, 6, 5, 304, 2451, 16932, 191069, 564, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1982, 168892, 6235, 506, 49481, 60980, 2702, 2702, 147848, 1211, 152, 49481, 10676, 6, 159696, 79981, 20033, 220224, 123073, 34482, 170355, 211169, 1470, 75230, 2702, 34076, 54260, 211169, 6, 4, 6150, 220224, 2808, 6, 159696, 79981, 6, 186797, 12483, 220224, 123073, 7508, 54260, 2648, 13159, 6, 5, 132, 46985, 2702, 2702, 147848, 6235, 506, 2882, 1470, 159696, 4484, 7265, 234917, 191069, 43393, 10954, 448, 6, 5, 112593, 96418, 6235, 506, 2882, 19532, 75230, 6293, 230764, 4151, 81414, 18279, 142170, 16, 6, 5, 363, 2451, 16932, 29659, 26632, 564, 26, 1982, 64260, 3056, 4151, 42572, 54260, 59461, 90284, 96418, 19532, 75230, 6293, 33960, 240863, 8580, 6, 4, 1751, 238144, 98833, 711, 112593, 96418, 4852, 54260, 2882, 78278, 10676, 77208, 6, 181937, 158548, 6, 5, 34654, 94790, 2808, 119132, 6, 4, 7265, 2808, 54260, 5666, 119718, 29771, 127684, 2702, 6, 4, 128750, 54260, 16747, 711, 364, 77188, 1470, 75230, 2702, 874, 54260, 1211, 198754, 6, 4, 2190, 5666, 1751, 238144, 98833, 78278, 119055, 48904, 8580, 9213, 46244, 159696, 2882, 2205, 64890, 112690, 1211, 1470, 75230, 2702, 49920, 8580, 6, 5, 34076, 75230, 47332, 20033, 6, 4, 710, 6255, 1751, 159696, 46244, 564, 54260, 2808, 874, 54260, 1211, 4944, 61722, 6, 4, 2190, 5666, 202446, 5332, 46244, 32792, 1285, 104149, 158504, 6, 4, 119055, 13845, 115518, 9213, 46244, 178748, 2882, 34076, 75230, 115518, 2819, 14857, 23741, 205026, 119055, 16870, 186461, 1470, 54260, 6093, 42572, 20961, 43649, 183512, 6, 4, 235466, 7746, 6, 68558, 7265, 5950, 28726, 2808, 54260, 89184, 6235, 36909, 5594, 79981, 6, 4, 6150, 9213, 46244, 47567, 2882, 216333, 9356, 21733, 20616, 12415, 1211, 10676, 163139, 40920, 18640, 8580, 76632, 1211, 6, 5, 1470, 75230, 1982, 2205, 4151, 6, 5, 46646, 36677, 3056, 19024, 5, 107020, 21660, 6093, 24464, 9424, 48350, 20961, 26, 2702, 143064, 80885, 128750, 54260, 16747, 6, 4, 119055, 13845, 6255, 1470, 30682, 220771, 8580, 6, 4, 6150, 6255, 39484, 657, 17645, 1982, 33960, 192061, 9424, 48350, 20961, 26, 1211, 6, 4, 7511, 2882, 6, 238144, 7511, 61397, 24464, 1470, 30682, 6, 5, 1470, 75230, 1982, 7369, 119055, 29060, 42572, 25207, 2932, 8580, 4, 292, 18583, 119055, 46646, 9934, 36326, 68313, 90284, 96418, 230764, 6, 62073, 96256, 129891, 6235, 2932, 8580, 9424, 48350, 20961, 26, 1211, 6, 4, 119055, 13845, 6255, 1470, 30682, 5332, 120580, 36909, 6093, 8580, 152, 42493, 40653, 10676, 6, 238144, 1644, 6255, 39484, 9424, 48350, 20961, 26, 1211, 163139, 109985, 6093, 657, 17645, 1982, 66313, 26632, 6, 4, 51328, 40653, 10676, 6, 4, 119055, 46646, 6255, 39484, 22444, 28714, 874, 54260, 1211, 657, 17645, 1982, 33960, 192061, 4, 119718, 46646, 119055, 39083, 2882, 9213, 46244, 216333, 33960, 119718, 39083, 2882, 152, 55242, 42023, 9424, 48350, 20961, 26, 1211, 17190, 1982, 186797, 6, 4, 2190, 5666, 2451, 2248, 292, 14081, 28726, 43649, 23173, 115518, 6150, 75230, 2808, 163139, 2808, 121193, 91595, 6, 4, 3069, 2808, 55242, 42023, 1470, 30682, 16175, 75230, 2882, 6, 4, 2190, 22492, 1644, 28726, 17190, 115518, 163139, 2808, 6, 128750, 63188, 115556, 8580, 705, 9424, 48350, 20961, 6655, 205026, 657, 17645, 1982, 24012, 192061, 292, 10705, 5666, 6255, 6, 238144, 1211, 6, 159696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2932, 8580, 1470, 30682, 2819, 7369, 3056, 24012, 159696, 42023, 34076, 7682, 32792, 292, 2190, 5666, 6255, 128750, 54260, 2808, 7746, 5, 6, 159696, 129891, 10676, 6, 5, 7369, 3056, 33960, 159696, 42023, 1470, 54260, 1211, 27702, 506, 29766, 8300, 16932, 6, 154289, 6255, 2808, 30682, 123736, 7201, 158504, 2819, 51328, 7369, 6655, 657, 17645, 1982, 6, 66313, 40096, 33960, 159696, 21295, 45619, 1211, 39484, 6255, 2808, 30682, 4151, 506, 23173, 2932, 15907, 6, 5, 19024, 3056, 46711, 6093, 8580, 42572, 20961, 220224, 1211, 143064, 83957, 159212, 6, 4, 6, 128750, 54260, 2648, 42572, 20961, 4852, 54260, 1211, 34076, 7682, 6, 4, 158504, 42572, 20961, 220224, 1211, 9356, 506, 23173, 34709, 710, 4944, 4484, 54260, 2882, 6, 4, 2190, 5666, 16175, 75230, 2882, 4151, 42572, 20961, 119718, 46646, 7369, 6655, 657, 17645, 1982, 33960, 192061, 33960, 159696, 21295, 18640, 8580, 6, 4, 292, 7369, 6655, 657, 17645, 1982, 24012, 192061, 4852, 18167, 158504, 6, 4, 2190, 5666, 7265, 6, 17645, 119132, 6, 204932, 7201, 64260, 9221, 12483, 6, 5, 292, 119055, 6093, 3056, 9424, 119718, 13456, 8580, 194706, 54595, 75230, 2808, 24012, 35189, 18640, 6, 4, 119055, 46646, 7369, 119055, 39083, 2882, 24012, 119718, 39083, 2882, 220224, 1211, 4838, 121193, 91595, 705, 1470, 75230, 1982, 19024, 68313, 19024, 36324, 2808, 115556, 6, 4, 6, 97634, 506, 6, 170098, 7369, 7508, 54260, 20315, 1211, 2819, 119055, 2808, 68550, 1470, 30682, 39484, 6255, 69801, 54260, 2648, 41595, 6, 5, 119055, 6093, 3056, 9424, 119718, 13456, 8580, 1470, 54260, 4667, 6150, 75230, 2808, 199720, 200117, 6, 4, 119055, 46646, 7369, 119055, 39083, 2882, 7511, 2882, 24012, 119718, 39083, 2882, 220224, 1211, 6319, 54260, 1211, 34654, 94790, 32829, 1211, 705, 1470, 75230, 1982, 73095, 3056, 19024, 36324, 2808, 115556, 292, 212484, 7369, 7508, 54260, 122623, 2819, 6255, 39484, 1470, 30682, 31807, 54260, 158548, 2882, 6, 5, 119055, 6093, 3056, 19024, 6150, 75230, 68561, 142429, 28726, 6, 4, 119055, 46646, 7369, 6655, 42493, 657, 17645, 1982, 220224, 1211, 42572, 40096, 6093, 212394, 705, 1470, 75230, 1982, 9424, 119718, 13456, 8580, 2808, 54260, 4667, 3056, 19024, 36324, 2808, 115556, 292, 6, 170098, 7369, 7508, 54260, 122623, 6, 4, 6255, 39484, 1470, 30682, 69801, 54260, 2648, 41595, 6, 5, 6255, 119055, 23173, 2882, 230764, 1470, 54260, 1211, 6, 35596, 36909, 6093, 6, 5, 29659, 26632, 564, 26, 1982, 54595, 75230, 23269, 3056, 9424, 119718, 13456, 8580, 194706, 42493, 29771, 6, 4, 42493, 1470, 54260, 59461, 42493, 6, 4, 90284, 96418, 711, 132, 7916, 13845, 52059, 850, 105884, 12483, 3069, 74004, 2702, 51723, 16, 6, 5, 112593, 96418, 238144, 4852, 2882, 1470, 75230, 2702, 6, 4, 6150, 6255, 39484, 6319, 54260, 119132, 42493, 31807, 54260, 2648, 41595, 6, 5, 6255, 39484, 7511, 2882, 42493, 17537, 874, 54260, 1211, 7265, 9424, 48350, 20961, 26, 1211, 163139, 2808, 9213, 46244, 119055, 39083, 2882, 42493, 17537, 7265, 90284, 96418, 26, 1211, 6, 5, 148222, 34482, 170355, 107581, 24464, 9424, 48350, 20961, 26, 2050, 16175, 75230, 2882, 3056, 42572, 20961, 25391, 710, 115518, 2205, 218606, 710, 200651, 17645, 6, 4, 148222, 657, 75230, 1982, 6, 4, 119055, 13845, 107581, 7369, 3056, 119055, 77188, 24012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 159696, 1211, 55242, 129891, 6428, 99766, 42493, 18583, 108209, 56169, 2819, 148222, 1751, 145161, 42572, 20961, 119055, 13845, 123131, 7369, 3056, 204982, 54260, 2882, 24012, 119718, 69596, 1211, 292, 3056, 42493, 42572, 48340, 2442, 13159, 77188, 6, 5, 132, 62067, 32829, 24244, 7265, 10184, 13845, 115556, 8580, 3069, 54595, 98229, 2050, 12483, 6, 104378, 47833, 7265, 9424, 48350, 20961, 26, 2702, 6, 75290, 59919, 16, 2451, 16503, 292, 64260, 3056, 220224, 1211, 6, 75290, 59919, 6, 4, 15864, 24152, 6, 62067, 171433, 147848, 9356, 238144, 13497, 1470, 30682, 6, 4, 6655, 3131, 7369, 192061, 6319, 54260, 1211, 20585, 42493, 33960, 192061, 2205, 220224, 1211, 874, 93345, 2819, 24464, 6428, 119273, 159696, 129891, 6, 159696, 96256, 30682, 19532, 75230, 2702, 17806, 56052, 4838, 61842, 24464, 220224, 1211, 16175, 75230, 2882, 2819, 7369, 119055, 29060, 6, 150839, 186955, 8580, 1470, 54260, 1211, 7201, 120467, 2882, 2205, 4151, 21776, 161321, 181615, 4113, 6150, 75230, 2808, 163139, 2808, 148932, 6093, 24464, 194706, 6, 5, 73784, 72507, 6, 225975, 6255, 152, 6, 159696, 2932, 8580, 4838, 61842, 42572, 20961, 22444, 28714, 39484, 6255, 4151, 506, 23173, 2932, 2754, 874, 54260, 1211, 1982, 119273, 8580, 6, 128750, 54260, 16747, 2819, 6, 212484, 9934, 36326, 1285, 168155, 1751, 97634, 4667, 14856, 101608, 1285, 171428, 18583, 20033, 1470, 75230, 4667, 6, 4, 2808, 75230, 1982, 874, 54260, 1211, 16175, 75230, 2882, 119055, 29060, 220224, 1211, 9356, 35189, 159212, 18640, 6, 159696, 2932, 8580, 874, 54260, 1211, 42572, 40096, 6093, 212394, 6, 5, 148222, 191069, 43393, 10954, 448, 28726, 1982, 4, 17190, 1982, 711, 418, 2451, 63188, 191069, 31807, 20305, 62808, 6, 159696, 79981, 1470, 30682, 123736, 7201, 42572, 5594, 12415, 1211, 4838, 506, 54260, 2050, 7265, 1470, 54260, 1211, 81414, 73136, 6293, 6, 5, 304, 2451, 16932, 191069, 564, 26, 1982, 62808, 6, 159696, 79981, 1470, 30682, 6, 105235, 79981, 1470, 54260, 1211, 48706, 40096, 710, 25603, 34076, 54260, 4667, 7265, 1285, 192900, 26632, 75230, 12483, 24464, 194706, 25207, 895, 16932, 8580, 6, 5, 363, 2451, 16932, 11139, 26, 1982, 212484, 7369, 220224, 1211, 230764, 9424, 48350, 20961, 26, 2702, 6, 99766, 6, 5, 617, 16932, 11139, 26, 1982, 62808, 6, 159696, 79981, 10213, 25616, 54260, 49008, 2205, 90284, 96418, 26, 1211, 187055, 6, 4, 7265, 119055, 46646, 9424, 48350, 20961, 36909, 147713, 2882, 7746, 657, 75230, 115518, 6, 5, 418, 2451, 63188, 11139, 26, 1982, 144754, 1470, 75230, 2702, 33960, 25391, 54260, 12483, 6, 4, 2190, 5666, 7265, 21776, 3131, 6, 4, 6, 159696, 79981, 20033, 1470, 30682, 123736, 7201, 36909, 5594, 12415, 1211, 72649, 54260, 2050, 152, 112593, 96418, 506, 6093, 25207, 1211, 711, 292, 905, 305, 2451, 15751, 292, 304, 2451, 16932, 11139, 26, 1982, 119718, 23173, 2882, 1470, 75230, 2702, 6, 4, 1751, 238144, 98833, 711, 90284, 96418, 105884, 2882, 6, 5, 418, 2451, 16932, 11139, 26, 56703, 40096, 6, 4, 67826, 1644, 44478, 711, 112593, 96418, 1644, 17645, 30750, 3373, 29771, 23847, 165592, 25391, 48904, 13159, 6, 4, 7369, 1644, 75230, 47332, 20033, 1470, 54260, 119132, 4151, 6, 238144, 16932, 8580, 4852, 18167, 2819, 1470, 54260, 4667, 564, 29060, 6255, 292, 43449, 54260, 47332, 40653 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7265, 6, 62067, 171433, 147848, 26, 1211, 6, 4, 123736, 7201, 6235, 115518, 20315, 2050, 158628, 8580, 74388, 10676, 16175, 75230, 96986, 6, 4, 2190, 5666, 51963, 3069, 74004, 2865, 51723, 364, 77188, 1470, 75230, 2702, 1285, 20961, 54260, 20315, 6, 4, 119055, 13845, 107581, 6, 62067, 32829, 14088, 119055, 29060, 6, 170355, 129891, 230764, 10676, 6, 75290, 59919, 232436, 25599, 26394, 4852, 20961, 6, 4, 7265, 178766, 119055, 79981, 6, 5, 6255, 564, 29060, 1470, 54260, 4667, 6235, 506, 2882, 6, 13497, 4838, 159696, 4484, 6, 4, 78278, 119718, 48904, 8580, 7369, 119055, 29060, 42493, 1470, 75230, 2702, 6, 212484, 8580, 220224, 1211, 7508, 54260, 20315, 6, 5, 418, 2451, 16932, 11139, 26, 1982, 29659, 15907, 711, 657, 29771, 62808, 364, 53414, 119055, 46646, 15864, 24152, 44458, 96256, 68380, 119055, 29060, 1470, 54260, 1211, 6, 5, 363, 2451, 16932, 11139, 26, 1982, 212484, 7369, 19532, 75230, 6293, 6235, 42023, 230764, 4151, 81414, 18279, 23269, 6, 4, 20033, 6, 159696, 79981, 49920, 8580, 6, 5, 8903, 506, 9934, 36326, 19532, 75230, 6293, 42572, 54260, 16667, 16932, 6, 62067, 32829, 24244, 6, 5, 62067, 32829, 24244, 168892, 19024, 20260, 1470, 54260, 4667, 51963, 42572, 20961, 90284, 96418, 26, 1211, 6, 5, 617, 2451, 16932, 11139, 26, 1982, 119718, 46646, 105884, 2882, 7369, 6, 159696, 2932, 8580, 90284, 96418, 7611, 705, 363, 2451, 16932, 11139, 26, 1982, 54595, 7369, 6, 94741, 185226, 194706, 51963, 42572, 20961, 90284, 96418, 26, 1211, 6, 5, 2451, 19251, 292, 617, 2451, 16932, 11139, 26, 1982, 168892, 119055, 39083, 2882, 1470, 30682, 24012, 48775, 23093, 12483, 42493, 7508, 54260, 122623, 6319, 54260, 1211, 620, 91595, 96743, 75230, 6293, 90284, 96418, 26, 1211, 6, 5, 418, 2451, 16932, 11139, 26, 13458, 6093, 9424, 48350, 20961, 3056, 33960, 159696, 42023, 1470, 54260, 1211, 1470, 4944, 69855, 6, 5, 304, 2451, 16932, 11139, 26, 1982, 22492, 4667, 4838, 6, 56052, 1470, 4944, 69855, 6, 4, 4838, 6, 56052, 1285, 13159, 7201, 64260, 6, 4, 73095, 3056, 42572, 20961, 194706, 1470, 54260, 1211, 21847, 7682, 119055, 46646, 22444, 28714, 3056, 24464, 1470, 30682, 6, 226085, 33960, 119718, 69596, 1211, 6, 5, 1644, 2451, 16932, 11139, 26, 56703, 238144, 98833, 657, 29771, 62808, 49920, 8580, 6, 4, 119055, 46646, 119055, 29060, 118222, 149211, 6, 62067, 112711, 119718, 2050, 9934, 69596, 1211, 6, 5, 62067, 32829, 905, 35044, 17645, 30750, 49920, 2442, 26, 1211, 711, 29659, 26632, 43393, 10954, 448, 3131, 238144, 98833, 6, 4, 67826, 76866, 711, 62067, 32829, 24244, 12415, 123559, 112711, 13159, 6, 4, 221067, 6, 128750, 54260, 16747, 6, 4, 657, 17645, 30750, 191069, 43393, 10954, 448, 711, 6255, 1982, 29060, 564, 54260, 2808, 1470, 54260, 4667, 42572, 20961, 29659, 183512, 6, 5, 6255, 7501, 6, 26394, 74004, 61621, 4269, 100436, 56052, 9356, 506, 186955, 8580, 6, 4, 10705, 5666, 42493, 5, 657, 75230, 115518, 6, 4, 620, 91595, 710, 14856, 20560, 17190, 115518, 115556, 8580, 40653, 6, 4, 41064, 24621, 20560, 16175, 33809, 27137, 119055, 46646, 115556, 8580, 39484, 8580, 230764, 26, 1211, 17190, 115518, 204982, 17537, 6, 4, 10213, 506, 186955, 51723, 220224, 6093, 123736, 159212, 7265, 220224, 89184 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 564, 54260, 59461, 3069, 74004, 2865, 51723, 2205, 6, 228605, 6, 5, 6, 212484, 6150, 75230, 54595, 54260, 1211, 7265, 6, 26394, 74004, 71945, 1470, 75230, 4667, 6, 5, 1470, 54260, 4667, 6655, 90284, 202936, 33960, 74004, 98833, 4, 6150, 9424, 48350, 20961, 6655, 1644, 17645, 1982, 33960, 192061, 33960, 159696, 21295, 45619, 1211, 2819, 1470, 75230, 1982, 24857, 3056, 88771, 6, 4, 292, 3056, 24857, 4838, 23847, 75230, 36419, 1751, 145161, 6, 4, 2190, 5666, 42572, 20961, 9213, 46244, 3056, 7369, 7265, 7746, 10213, 36723, 506, 21295, 33960, 119718, 69596, 1211, 711, 168892, 6, 4, 7265, 10676, 7369, 1644, 75230, 12890, 207591, 24464, 90284, 96418, 26, 1211, 2190, 5666, 24464, 87680, 132, 112593, 96418, 292, 3056, 4838, 42572, 54260, 59461, 115556, 6, 4, 220224, 2808, 55242, 129891, 51963, 292, 220224, 6093, 42572, 54260, 23269, 96302, 16629, 1211, 16, 7501, 6255, 3523, 100436, 56052, 19024, 364, 186955, 8580, 4838, 7508, 54260, 20315, 230764, 9424, 48350, 20961, 26, 2702, 2451, 14885, 292, 7201, 48775, 4667, 6, 5, 7369, 3056, 20033, 24012, 159696, 42023, 1470, 54260, 1211, 88771, 26, 6093, 6, 128750, 54260, 16747, 6, 4, 51328, 90284, 96418, 192061, 33960, 74004, 98833, 152, 137, 6093, 6655, 657, 17645, 1982, 33960, 192061, 24012, 159696, 21295, 18640, 8580, 155, 6, 4, 2190, 5666, 90284, 96418, 6, 4, 68313, 6, 68558, 1470, 54260, 1211, 73995, 1470, 54260, 1211, 42572, 54260, 59461, 115556, 6, 5, 7369, 6655, 42572, 710, 13845, 33960, 36909, 48904, 2932, 71512, 25222, 13458, 115536, 7265, 7746, 6319, 54260, 1211, 22444, 28714, 6, 4, 2190, 5666, 7265, 220224, 6093, 1470, 75230, 35044, 54260, 4852, 17310, 3056, 6, 148222, 25616, 75230, 20260, 46646, 96743, 10213, 48775, 40920, 33960, 119718, 69596, 1211, 2819, 4838, 24857, 3056, 4838, 210228, 6150, 7369, 6655, 1644, 17645, 1982, 33960, 192061, 33960, 159696, 21295, 18640, 8580, 705, 6150, 9424, 48350, 20961, 6655, 6, 66313, 77188, 24012, 25391, 54260, 12483, 24464, 10705, 2865, 21847, 7682, 149010, 6655, 7369, 1470, 75230, 4667, 33960, 238144, 13497, 6, 4, 4151, 119055, 46646, 6655, 657, 17645, 1982, 1285, 13159, 7201, 64260, 9221, 12483, 60980, 1211, 42493, 220224, 1211, 6150, 75230, 2808, 8009, 13845, 6, 5, 51328, 90284, 96418, 6655, 33960, 74004, 98833, 152, 137, 6093, 192061, 657, 17645, 1982, 33960, 192061, 33960, 159696, 21295, 45619, 1211, 155, 2190, 5666, 90284, 96418, 3056, 6, 68558, 4838, 73995, 4838, 42572, 54260, 59461, 96302, 3131, 6, 5, 9213, 46244, 6655, 33960, 39293, 42023, 6, 4, 163139, 2808, 6150, 75230, 2808, 2205, 17953, 19767, 6, 71804, 59919, 16580, 1644, 17645, 39484, 6255, 1470, 30682, 29434, 54260, 2808, 15864, 54574, 6, 4, 130170, 33960, 99176, 2932, 8580, 6, 148222, 30109, 75230, 1211, 6, 4, 10705, 5666, 51963, 29434, 54260, 2808, 15864, 54574, 6655, 7369, 22753, 2808, 4838, 159696, 4484, 6, 62073, 15231, 23741, 152, 4838, 24857, 3056, 2808, 75230, 4667, 4838, 210228, 6150, 7369, 6655, 657, 17645, 1982, 33960, 192061, 33960, 159696, 21295, 18640, 8580, 705, 51328, 90284, 202936, 192061, 4269, 15533, 62067, 6, 4, 6150, 9424, 48350, 20961, 6655, 657, 17645, 1982, 33960, 192061, 33960, 159696, 21295, 18640, 8580, 6, 4, 2190, 5666, 90284, 96418, 68313, 6, 68558, 4838, 73995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 42572, 54260, 59461, 115556, 6, 5, 24857, 51963, 2050, 7508, 54260, 2648, 6255, 42493, 3069, 14081, 17645, 1982, 10676, 6, 4, 6255, 47567, 123736, 7201, 657, 54260, 16580, 49008, 119055, 46646, 90284, 96418, 6655, 24012, 74004, 98833, 6, 4, 6255, 2442, 54260, 2648, 51328, 6, 159696, 2932, 8580, 10676, 6, 4, 119055, 46646, 6255, 6, 238144, 2702, 6, 4, 9213, 46244, 6655, 1470, 30682, 199250, 657, 17645, 1982, 66313, 26632, 292, 2190, 5666, 42493, 2190, 112304, 34533, 6, 4, 292, 119055, 46646, 9934, 36326, 364, 23173, 2882, 1470, 54260, 4667, 137765, 172590, 5594, 2442, 119055, 29060, 1470, 30682, 27702, 238144, 129891, 705, 1470, 75230, 6, 4, 19302, 161459, 33960, 94741, 20260, 711, 180403, 564, 34533, 6, 183512, 21338, 29771, 36909, 8580, 3069, 2808, 6, 148222, 17741, 850, 24464, 6, 148222, 119055, 13845, 35189, 6, 4, 2190, 5666, 6, 148222, 115556, 8580, 39484, 8580, 36909, 20961, 1644, 29766, 8580, 220224, 6093, 83031, 711, 119055, 23173, 2882, 1470, 75230, 2702, 6, 4, 6, 212484, 2882, 205026, 7746, 6, 48904, 23269, 56052, 7265, 11556, 23093, 2819, 7369, 6, 4, 657, 176727, 3069, 74004, 2865, 51723, 7265, 9424, 48350, 20961, 26, 1211, 2205, 6, 228605, 6, 4, 6255, 65146, 230764, 26612, 9424, 54260, 2882, 40653, 7508, 54260, 149311, 874, 54260, 1211, 7508, 54260, 20315, 6, 4, 78278, 119055, 48904, 12483, 874, 54260, 1211, 7265, 506, 119055, 29060, 7746, 13342, 2808, 20033, 101251, 75290, 8580, 6, 5, 6, 5, 6, 5, 418, 2451, 16932, 11139, 26, 1982, 62808, 6, 238144, 4852, 2882, 1470, 75230, 2702, 6150, 73095, 3056, 19024, 6, 4, 2205, 1285, 39293, 7508, 54260, 2648, 42572, 710, 13845, 88771, 6, 5, 304, 2451, 16932, 11139, 26, 1982, 3111, 2808, 6, 4, 14856, 47567, 6, 159696, 79981, 564, 34882, 44478, 8580, 6, 148222, 6, 170355, 4667, 6150, 75230, 2808, 163139, 2808, 73095, 6, 66313, 6093, 2451, 9365, 292, 13342, 2808, 220224, 1211, 6, 4, 3056, 18225, 7746, 7265, 9424, 48350, 20961, 26, 9356, 240863, 8580, 7265, 1470, 128722, 12415, 850, 6, 5, 363, 2451, 16932, 11139, 26, 1982, 168892, 39484, 874, 151461, 6, 4, 6150, 230764, 9424, 48350, 20961, 26, 2702, 6, 99766, 119055, 29060, 19532, 75230, 6293, 186145, 146887, 292, 1470, 54260, 1211, 7369, 61397, 6093, 6, 5, 617, 2451, 16932, 11139, 26, 25491, 5594, 2442, 6655, 221387, 6, 4, 9424, 48350, 20961, 6655, 6, 148222, 30109, 75230, 1211, 42493, 33960, 119718, 39083, 2882, 13342, 2808, 23050, 56052, 705, 6, 101328, 6, 4, 55242, 506, 2882, 18225, 81444, 4667, 19532, 75230, 2702, 6150, 7369, 6655, 42493, 657, 17645, 1982, 66313, 26632, 33960, 159696, 21295, 45619, 1211, 6, 5, 418, 2451, 16932, 11139, 26, 25491, 16011, 24857, 119055, 29060, 1470, 75230, 2702, 33960, 119718, 710, 109995, 119055, 6093, 8580, 6, 4, 119055, 29060, 42572, 710, 13845, 115556, 8580, 220224, 1211, 31249, 91595, 6, 5, 304, 2451, 16932, 11139, 26, 75578, 3056, 101251, 21847, 7682, 32792, 4838, 4151, 118222, 149211, 6, 62067, 32829, 14088, 711, 220224, 23269, 1470, 75230, 129891, 39293, 129891, 7508, 75230, 2882, 24464, 46711, 6093, 8580, 6, 5, 363, 2451, 16932, 11139, 26, 1982, 95766, 22444, 28714, 3056, 42493, 29771, 6319, 54260, 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 ]
[ 42572, 54260, 59461, 9221, 115556, 6, 5, 617, 2451, 16932, 11139, 26, 56703, 40096, 711, 364, 77188, 711, 7369, 163139, 76866, 7508, 54260, 122623, 6, 5, 62067, 32829, 24244, 22492, 4667, 3523, 91595, 8580, 6, 4, 6150, 7369, 3056, 49481, 33960, 159696, 1211, 2205, 43649, 183512, 1470, 54260, 1211, 119055, 99766, 2808, 75230, 2702, 3069, 2808, 7508, 54260, 12415, 1211, 6, 4, 6655, 7369, 49481, 4269, 7682, 62067, 34654, 2808, 182990, 6, 159696, 21295, 230764, 20315, 2050, 620, 26612, 40920, 19532, 75230, 2702, 22444, 36909, 8580, 152, 137765, 292, 6, 64260, 657, 176727, 7369, 19024, 6, 4, 2190, 5666, 6319, 54260, 59461, 36909, 54260, 21295, 7746, 42493, 6150, 75230, 2808, 24012, 35189, 18640, 6, 4, 6150, 7369, 47567, 1470, 30682, 9356, 238144, 109995, 4838, 158504, 711, 2808, 75230, 6, 4, 6, 128750, 54260, 16747, 711, 119055, 12483, 6255, 47567, 6, 159696, 79981, 6, 23173, 9221, 97483, 42023, 1470, 54260, 6093, 83031, 2205, 2451, 17281, 292, 10705, 5666, 60980, 2702, 2702, 147848, 26, 1211, 5, 204982, 17537, 620, 91595, 6, 5, 51328, 1470, 54260, 4667, 51963, 3056, 240989, 6150, 220224, 54595, 76632, 1211, 6, 29766, 35596, 149010, 115556, 8580, 2819, 49481, 119055, 46646, 9934, 36326, 147062, 18225, 220224, 620, 91595, 16803, 17537, 705, 3523, 54260, 1211, 6, 4, 564, 54260, 2808, 20033, 6, 4, 3056, 10213, 115398, 292, 564, 14081, 54260, 158548, 8580, 9424, 48350, 20961, 26, 1211, 6, 4, 7746, 10705, 5666, 1470, 54260, 4667, 6, 4, 1470, 54260, 35189, 33718, 17537, 620, 91595, 2702, 6150, 13845, 107581, 42572, 54260, 23269, 115556, 8580, 6, 5, 44917, 46244, 64260, 3056, 4838, 1751, 46545, 56170, 107182, 4269, 125451, 44283, 7265, 9424, 48350, 20961, 26, 2702, 6, 105235, 141015, 710, 6, 4, 119055, 46646, 24621, 6655, 33960, 36909, 710, 49008, 2205, 220224, 1211, 21422, 46685, 2819, 24857, 3056, 9424, 48350, 20961, 26, 2702, 3069, 43590, 6, 4, 9213, 506, 68959, 158291, 49920, 8580, 6, 4, 119055, 46646, 73095, 43649, 54260, 2882, 2205, 9213, 46244, 6, 4, 292, 6255, 119055, 13845, 22753, 2808, 42493, 1644, 54260, 76632, 1211, 6, 4, 42572, 6093, 8300, 54260, 20616, 2882, 292, 119055, 39083, 2882, 9213, 46244, 7746, 51963, 33960, 119718, 29766, 36909, 8580, 6, 148222, 7508, 48904, 13159, 36909, 710, 119132, 364, 84662, 6319, 40697, 1211, 2819, 2205, 220224, 1211, 364, 54260, 186461, 564, 137119, 6, 4, 119055, 158291, 9213, 46244, 1470, 54260, 123073, 15231, 107581, 32792, 33960, 119718, 26612, 16629, 1211, 2819, 9213, 46244, 119055, 158291, 33960, 30750, 146887, 9174, 26632, 3131, 6, 148222, 151614, 20961, 230764, 2808, 54260, 1211, 1470, 54260, 16747, 135118, 24464, 9424, 48350, 20961, 26, 1211, 6, 4, 2190, 5666, 2205, 1470, 54260, 123073, 3069, 20308, 119055, 39083, 2882, 9213, 46244, 20961, 54260, 1211, 57906, 54260, 98833, 1285, 4113, 39293, 364, 26612, 20961, 6, 4, 2190, 5666, 119055, 158291, 22753, 2808, 40653, 57906, 54595, 2882, 564, 142673, 85465, 54260, 89184, 114955, 2190, 5666, 17806, 16747, 64310, 83182, 42572, 20961, 4838, 16175, 54260, 6093, 6093, 183582, 6, 5, 617, 2451, 16932, 11139, 26, 1982, 62808, 163139, 79981, 49920, 8580, 6, 148222, 3069, 43590, 6, 5, 657, 54260, 12483, 22753, 2808, 40653, 6, 4, 6, 62067, 32829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24244, 6, 5, 29659, 26632, 43393, 10954, 448, 148222, 9424, 119718, 43590, 711, 657, 54260, 12483, 6, 148222, 9424, 119718, 43590, 6, 4, 6, 62067, 32829, 24244, 711, 62067, 32829, 24244, 8903, 2648, 160022, 6, 4, 874, 54260, 23269, 6, 128750, 54260, 16747, 711, 292, 6255, 6, 94741, 63020, 1470, 54260, 4667, 22753, 2808, 42493, 657, 54260, 171428, 2819, 14004, 46244, 6428, 23173, 159212, 141107, 42493, 163139, 149311, 163139, 2808, 6150, 75230, 2808, 9424, 48350, 20961, 11211, 96256, 54260, 4667, 657, 17645, 1982, 66313, 26632, 6, 4, 9213, 46244, 9934, 35596, 42493, 6319, 54260, 1211, 43649, 54260, 59461, 6, 4, 42493, 6319, 54260, 1211, 45223, 89930, 6, 4, 44917, 46244, 96302, 16629, 1211, 2819, 6, 225975, 6255, 1470, 54260, 4667, 6, 128750, 63188, 6150, 22753, 2808, 119055, 29060, 1470, 54260, 4667, 1470, 112690, 107829, 1211, 6, 4, 2190, 5666, 159696, 2882, 1470, 54260, 4667, 24464, 1470, 54260, 6093, 83031, 4838, 90848, 7201, 42572, 5594, 12415, 1211, 2819, 8947, 3056, 216333, 9213, 506, 68959, 158291, 42493, 163139, 149311, 6, 4, 6150, 9213, 46244, 9934, 35596, 220224, 23269, 4231, 142144, 448, 6, 4, 119055, 12483, 9213, 46244, 47567, 2882, 24857, 119718, 710, 149311, 6, 5, 6, 5, 6, 5, 119055, 46646, 119055, 39083, 2882, 54745, 16667, 122165, 2882, 33960, 88660, 13497, 19532, 75230, 2702, 17806, 56052, 705, 711, 617, 2451, 16932, 11139, 26, 17160, 54260, 12483, 6, 4, 657, 54260, 12483, 6, 4, 6, 62067, 32829, 14088, 20033, 163139, 79981, 163139, 149311, 6, 4, 119055, 46646, 3056, 2205, 2451, 18825, 292, 14004, 46244, 6, 207591, 126700, 8580, 152, 180403, 6428, 23173, 36909, 16803, 194706, 9213, 148346, 6093, 657, 54260, 76632, 1211, 6, 148222, 9424, 119718, 43590, 6, 4, 1644, 54260, 12483, 711, 62067, 32829, 24244, 168892, 564, 29060, 6, 4, 6655, 9424, 54260, 2882, 6, 4, 6655, 6235, 2648, 160022, 6, 4, 6255, 39484, 204982, 17537, 4838, 36909, 20616, 44478, 6, 4, 119055, 46646, 6255, 39484, 4151, 87311, 13497, 6, 159696, 2932, 8580, 9424, 48350, 20961, 26, 2702, 9424, 119718, 43590, 6, 4, 6255, 506, 34557, 874, 151461, 6, 4, 6150, 7265, 10676, 39484, 6255, 6319, 21106, 17645, 33960, 101296, 40920, 42572, 54260, 23269, 115556, 8580, 4852, 54260, 23269, 22444, 8300, 36484, 6, 5, 6, 5, 6, 5, 6, 101328, 6, 4, 6255, 39484, 874, 151461, 6, 4, 6150, 73095, 3056, 6150, 75230, 2808, 6, 5, 617, 2451, 16932, 11139, 26, 1982, 4852, 54260, 2808, 55242, 129891, 42572, 6093, 40096, 506, 93497, 292, 4838, 6, 148222, 42572, 54260, 23269, 115556, 8580, 711, 54343, 26, 1982, 148222, 9424, 119718, 43590, 711, 657, 54260, 12483, 6, 148222, 9424, 119718, 43590, 711, 304, 2451, 16932, 11139, 26, 1982, 4852, 54260, 2808, 55242, 129891, 24012, 35189, 226112, 40920, 93975, 115556, 8580, 6, 4, 4269, 59094, 12130, 6, 4, 22444, 8300, 36484, 711, 6, 148222, 8300, 119718, 43590, 711, 657, 12483, 6, 148222, 9424, 119718, 43590, 711, 62067, 32829, 24244, 14004, 46244, 3523, 77188, 205026, 40653, 1644, 54260, 76632, 1211, 6, 4, 292, 6, 105235, 21295, 9934, 36326, 7746, 4838, 68550, 75290, 59919, 2190, 5666, 7369, 1644, 75230, 47332, 20033, 1470, 54260, 4667, 6, 238144, 104149, 10676, 119055, 46646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6655, 6, 148222, 9424, 119718, 43590, 25222, 101296, 40920, 6, 5, 6255, 178748, 1470, 90848, 7201, 6235, 42023, 705, 9213, 46244, 7369, 1644, 75230, 47332, 24857, 20033, 705, 54343, 26, 1982, 8903, 506, 4838, 90848, 7201, 6, 5, 304, 2451, 16932, 11139, 26, 1982, 8903, 506, 19532, 137377, 6, 5, 132, 62067, 32829, 24244, 6235, 506, 2882, 183519, 3120, 4151, 81414, 18279, 23269, 16, 6, 5, 304, 2451, 16932, 11139, 26, 1982, 159696, 1211, 180403, 163139, 1644, 16803, 6, 4, 134973, 16803, 180403, 6, 5, 2451, 14073, 292, 617, 2451, 16932, 11139, 26, 1982, 105235, 21295, 9934, 36326, 7746, 159190, 6, 5, 418, 2451, 16932, 11139, 26, 1982, 238144, 16932, 24464, 4151, 81414, 23269, 6, 4, 4838, 159696, 4484, 24464, 10676, 6, 75290, 59919, 711, 304, 2451, 16932, 11139, 26, 25491, 54260, 1211, 6, 99766, 42572, 20961, 10676, 364, 75230, 4944, 62073, 21660, 146887, 6, 62067, 32829, 24244, 711, 62067, 32829, 24244, 168892, 564, 29060, 1470, 54260, 4667, 84349, 23173, 2882, 7746, 42493, 6, 68558, 230764, 20033, 6, 4, 98252, 2882, 7746, 4838, 203326, 13845, 6, 5, 54343, 26, 1982, 72631, 93449, 7746, 711, 204982, 1470, 54260, 1211, 6, 99766, 711, 44438, 2702, 13845, 6, 238144, 16932, 711, 62067, 32829, 24244, 2808, 75230, 1982, 73095, 3056, 19024, 564, 54260, 2808, 1470, 54260, 4667, 46711, 6093, 8580, 6, 4, 292, 17824, 54260, 2882, 7746, 3069, 2808, 6, 4, 2808, 75230, 2702, 4269, 21292, 12483, 220224, 2808, 137765, 6, 5, 1285, 48350, 6093, 874, 84577, 15350, 3056, 1470, 54260, 4667, 240989, 6, 4, 6255, 2932, 88945, 20260, 44064, 10676, 169532, 6, 4, 6150, 9424, 48350, 20961, 6655, 1470, 30682, 24857, 200795, 15864, 54574, 68558, 204982, 17537, 6, 5, 24857, 3056, 6235, 159696, 1211, 2205, 10339, 21106, 40096, 39340, 6, 4, 8248, 2865, 46685, 230764, 4151, 5666, 115536, 6, 5, 292, 2205, 1285, 104149, 169532, 6655, 7369, 4838, 17824, 75230, 36419, 10339, 26612, 12890, 16870, 29771, 6, 66313, 158291, 8580, 2808, 75230, 6293, 6, 148222, 6, 59461, 119718, 710, 57619, 13159, 6, 5, 292, 204982, 4838, 6, 98055, 4838, 49920, 13342, 2808, 711, 19024, 3056, 60980, 2702, 2702, 147848, 3131, 97634, 4667, 195164, 9221, 37729, 33960, 185337, 8580, 37729, 2205, 37729, 6, 4, 119055, 46646, 42572, 20961, 4838, 1751, 97634, 4667, 192061, 204982, 17537, 4151, 620, 91595, 6093, 60980, 2702, 46985, 711, 6, 64260, 19024, 6, 4, 6655, 1470, 30682, 90284, 96418, 144754, 220224, 1211, 138716, 12483, 37729, 7243, 29771, 211169, 6, 5, 6, 5, 6, 5, 6150, 7369, 6655, 10676, 42572, 20961, 3131, 39083, 15231, 119132, 1470, 54260, 109995, 24464, 4151, 6, 48775, 23269, 19532, 75230, 2702, 6235, 121865, 12483, 6, 4, 6, 98055, 7746, 3069, 2808, 6, 4, 163139, 76526, 174410, 4484, 9424, 48350, 20961, 26, 2702, 564, 137119, 6655, 24464, 9213, 46244, 19532, 75230, 2702, 6, 62073, 94626, 56169, 6150, 75230, 2808, 163139, 2808, 36909, 2884, 4838, 6, 186479, 23174, 112593, 49008, 6, 5, 90284, 96418, 292, 163139, 2808, 1470, 54260, 4667, 3056, 564, 37016, 84577, 292, 3056, 25222, 159696, 1211, 220224, 1211, 657, 53464, 29771, 75578, 6, 5, 292, 1470, 75230, 6, 4, 4269, 26632, 711, 180403, 5950, 54260, 1211, 564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34533, 1470, 54260, 1211, 8009, 850, 119718, 23829, 9424, 48350, 20961, 6655, 1470, 30682, 657, 17645, 1982, 33960, 192061, 2819, 2190, 5666, 7265, 874, 54260, 1211, 1470, 128722, 12415, 850, 24464, 2451, 17853, 292, 203387, 19302, 73381, 3056, 24012, 159696, 1211, 220224, 1211, 6319, 71804, 7201, 152, 6150, 9424, 48350, 20961, 6655, 5, 4151, 39293, 42023, 6, 4, 6150, 112593, 96418, 3056, 1470, 75230, 4667, 6235, 129891, 1470, 30682, 6, 4, 4838, 24857, 10339, 142429, 105330, 54260, 2882, 6655, 1470, 30682, 874, 54260, 1211, 35189, 3131, 203749, 8580, 6, 4, 1470, 54260, 35189, 6, 148222, 138716, 104149, 24464, 51963, 220224, 23269, 111025, 30979, 2819, 24857, 506, 23173, 7611, 220224, 16667, 3056, 3069, 2808, 6, 121865, 12483, 33960, 119718, 69596, 1211, 6, 4, 2190, 5666, 564, 54260, 2050, 42572, 21292, 1982, 135118, 13845, 710, 24464, 27720, 147921, 10705, 2050, 48706, 26632, 75230, 4113, 6, 4, 24464, 119055, 13845, 104238, 220224, 1211, 564, 137119, 6655, 7746, 4269, 18640, 182879, 1211, 6, 4, 7265, 20315, 2050, 874, 84577, 13845, 3069, 2808, 4269, 15435, 87442, 10676, 88721, 6, 4, 3056, 4151, 17824, 75230, 101608, 9424, 48350, 48340, 710, 36909, 69803, 1211, 6, 5, 1470, 75230, 6, 4, 22444, 28714, 26, 2442, 1470, 54260, 5666, 119718, 29771, 127684, 2702, 6, 4, 4838, 22518, 37016, 149010, 2442, 42572, 21106, 1644, 3069, 54595, 2808, 51723, 7265, 1470, 30682, 55242, 129891, 20033, 51963, 6, 4, 6255, 2190, 5666, 9213, 46244, 6, 4, 33960, 36909, 21106, 8580, 6, 4, 2190, 22492, 75230, 6293, 194706, 34072, 506, 29060, 4838, 564, 137119, 18640, 18367, 46036, 711, 9213, 46244, 6, 238144, 13497, 6, 4, 9213, 46244, 9934, 35596, 1982, 23173, 54196, 292, 6255, 55242, 506, 292, 2205, 1470, 54260, 4667, 6655, 7746, 7369, 159696, 20911, 4838, 33960, 36909, 5594, 1644, 24464, 31177, 66168, 850, 6, 4, 292, 6, 148222, 46711, 6093, 8580, 55242, 129891, 1751, 54260, 1211, 6, 5, 6, 5, 6, 5, 1470, 75230, 6, 4, 16175, 54260, 123073, 49920, 89930, 711, 14004, 46244, 6655, 7369, 29659, 33960, 39293, 42023, 6, 26394, 74004, 32206, 874, 62067, 15350, 3069, 2808, 1751, 97634, 211169, 292, 6, 238144, 13497, 14004, 46244, 1751, 75230, 1211, 2819, 42493, 51328, 4838, 6, 98055, 230764, 6, 26394, 74004, 61621, 5950, 54260, 1211, 6, 4, 6, 64260, 657, 176727, 7369, 2932, 9221, 48904, 29060, 6, 4, 3069, 2808, 1751, 97634, 211169, 6, 4, 6, 66313, 23173, 2932, 2754, 711, 418, 2451, 16932, 11139, 26, 25491, 75230, 6, 4, 4838, 22518, 37016, 149010, 4838, 4667, 711, 304, 2451, 16932, 11139, 26, 25491, 75230, 6, 4, 42572, 54260, 59461, 6, 29766, 41595, 149010, 2442, 9424, 48350, 20961, 711, 363, 2451, 16932, 11139, 26, 25491, 54260, 1211, 101251, 97594, 144581, 104238, 169532, 711, 617, 2451, 16932, 11139, 26, 1982, 53521, 30979, 6, 4, 4269, 59094, 12130, 711, 418, 2451, 16932, 11139, 26, 25491, 75230, 4838, 564, 137119, 18640, 207748, 105235, 1644, 17310, 711, 304, 2451, 16932, 11139, 26, 1982, 62808, 6, 159696, 79981, 7746, 20632, 142785, 220224, 1211, 711, 20033, 6, 159696, 79981, 23050, 56052, 1470, 54260, 1211, 6, 20260, 7758, 711, 20033, 2451, 2510, 292, 159696, 79981, 23050, 42023, 6, 4, 20033, 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, 79981, 18583, 13458, 76632, 1211, 6, 4, 20033, 6, 159696, 79981, 15864, 211169, 4838, 3131, 4, 20033, 159696, 79981, 364, 23173, 25222, 49008, 6, 4, 20033, 6, 159696, 79981, 16175, 54260, 146887, 2819, 42493, 1470, 54260, 1211, 874, 89828, 6, 159696, 79981, 20033, 7511, 2882, 1157, 109995, 17190, 115518, 711, 62067, 48904, 49792, 119718, 23173, 2882, 1470, 75230, 2702, 6, 4, 657, 17645, 30750, 1470, 54260, 5666, 119718, 29771, 127684, 2702, 24464, 22444, 28714, 6, 5, 418, 2451, 63188, 11139, 26, 56703, 175221, 44478, 6, 4, 657, 29771, 62808, 49920, 8580, 119055, 46646, 119055, 29060, 220771, 8580, 4151, 42572, 54260, 59461, 6, 62067, 32829, 24244, 6, 5, 304, 2451, 16932, 1751, 148346, 26, 1982, 62808, 6, 159696, 79981, 1470, 30682, 49920, 8580, 6, 4, 20033, 6, 159696, 79981, 6235, 42023, 49481, 1470, 30682, 6, 4, 20033, 159696, 79981, 43649, 23173, 115518, 7265, 1470, 30682, 711, 62067, 32829, 24244, 2865, 54260, 23269, 57906, 16011, 18415, 2190, 5666, 6, 128750, 54260, 16747, 149010, 6, 128750, 54260, 16747, 711, 6255, 163139, 1644, 1470, 54260, 4667, 21066, 31623, 156822, 42493, 7369, 159696, 112452, 3069, 2808, 36324, 2808, 230764, 6235, 121865, 65482, 2050, 7544, 26632, 17645, 163177, 6, 5, 6, 148222, 46244, 92290, 3056, 204982, 5594, 1211, 33960, 119718, 69596, 1211, 37729, 42572, 54260, 23269, 115556, 8580, 6, 4, 2190, 5666, 6255, 292, 1470, 75230, 238144, 2808, 711, 292, 6, 238144, 2702, 42493, 6, 4, 119055, 46646, 42572, 20961, 45521, 68959, 171433, 7972, 30750, 31807, 54260, 158548, 17310, 6655, 220224, 64567, 710, 13458, 115536, 3069, 2808, 36324, 2808, 6, 56052, 101759, 2819, 2190, 5666, 163139, 35189, 6, 4, 220224, 2808, 55242, 129891, 65902, 2932, 2190, 5666, 29766, 41595, 32792, 6, 4, 6, 159696, 79981, 220224, 2808, 1470, 54260, 4667, 33960, 119718, 21292, 220771, 8580, 4838, 62113, 164730, 7265, 83031, 6, 5, 6255, 115518, 42493, 3069, 2808, 143064, 10676, 4269, 100436, 56052, 6, 4, 6255, 47567, 1470, 54260, 6093, 364, 23173, 7611, 3069, 2808, 6, 32670, 12483, 7265, 159696, 2442, 16932, 6, 5, 6255, 7501, 199250, 292, 42493, 6319, 54260, 1211, 123736, 48775, 205416, 292, 6150, 75230, 2808, 163139, 2808, 112593, 96418, 6, 4, 292, 9213, 46244, 6319, 62067, 205026, 152, 6255, 7501, 4838, 115556, 6, 68558, 9174, 97728, 6, 4, 22492, 2442, 7265, 88771, 6, 4, 6255, 39484, 657, 17645, 1982, 874, 54260, 1211, 6, 128750, 54260, 16747, 6, 5, 24857, 6, 238144, 2702, 12483, 6235, 119718, 21292, 6, 4, 110856, 12666, 6, 148222, 115556, 8580, 6, 4, 119055, 46646, 39484, 8580, 20033, 7369, 1644, 75230, 47332, 18583, 12483, 71107, 7508, 54260, 20315, 1211, 159696, 2932, 8580, 1470, 30682, 6, 5, 6, 5, 6, 5, 6, 5, 6150, 42493, 5, 7265, 6319, 54260, 1211, 1751, 23173, 36909, 8580, 83031, 6, 4, 42493, 7265, 6319, 54260, 1211, 3131, 54260, 23269, 119055, 77188, 9221, 6, 4, 42493, 7265, 6319, 54260, 1211, 7544, 9719, 39340, 6, 4, 42493, 7265, 6319, 54260, 1211, 119055, 29771, 2932, 2190, 5666, 42493, 144754, 6319, 54260, 1211, 27702, 238144, 4852, 6, 4, 2190, 5666, 42493, 7265, 180141, 4113, 7508, 54260, 20315, 6235, 159696, 21295, 18640, 6255, 42493, 6, 4, 54595, 6255, 47567, 134973, 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 ]
[ 4151, 506, 31623, 12483, 115556, 32792, 564, 137119, 6, 5, 6255, 220771, 42493, 874, 54260, 1211, 119718, 23829, 10676, 88771, 6, 4, 24857, 119055, 46646, 9213, 46244, 5950, 54260, 1211, 6, 238144, 16803, 6, 68558, 20033, 4, 6255, 6, 238144, 4852, 2451, 20031, 292, 54260, 4667, 9424, 48350, 20961, 26, 2702, 7508, 71512, 2702, 292, 67826, 2865, 24621, 6, 4, 101251, 21847, 7682, 149010, 657, 42733, 55823, 1211, 292, 6255, 29060, 220224, 2808, 47567, 8580, 42572, 20961, 20033, 1470, 75230, 4667, 7508, 54260, 122623, 6, 5, 119055, 12483, 6255, 47567, 220224, 1211, 90284, 96418, 6, 4, 33104, 90284, 96418, 6, 62067, 32829, 24244, 6, 4, 119055, 39083, 2882, 6255, 1470, 54260, 6093, 55242, 109316, 7265, 874, 54260, 1211, 7508, 54260, 122623, 6, 4, 4484, 62067, 230764, 34654, 35189, 8580, 6, 4, 6255, 119055, 158291, 19532, 54260, 1211, 57906, 54260, 98833, 2205, 148932, 7508, 48904, 23269, 186479, 26612, 4667, 6, 4, 119055, 46646, 119055, 39083, 2882, 44064, 6, 148222, 43649, 54260, 59461, 24464, 22444, 28714, 6, 4, 1470, 75230, 4667, 2442, 54196, 73784, 6235, 8903, 5666, 29659, 183512, 711, 54343, 26, 1982, 62808, 6, 159696, 79981, 7746, 6, 105235, 79981, 6, 84577, 39340, 8903, 1211, 711, 418, 2451, 16932, 11139, 26, 1982, 62808, 6, 159696, 79981, 42572, 20961, 9721, 76632, 1211, 90284, 96418, 364, 75230, 4852, 711, 363, 2451, 16932, 11139, 26, 17160, 29771, 2865, 62808, 6235, 42023, 119055, 211169, 6, 148222, 7544, 26632, 710, 48350, 36326, 7682, 13159, 711, 62067, 32829, 24244, 119718, 23173, 2882, 1470, 75230, 2702, 6, 4, 1157, 33809, 2882, 205026, 7508, 54260, 122623, 4, 874, 54260, 23269, 3944, 30750, 7265, 2808, 54260, 5666, 119718, 29771, 127684, 2702, 54343, 26, 56703, 40096, 711, 67826, 44478, 711, 119055, 46646, 119055, 29060, 220771, 8580, 4151, 6, 29766, 41595, 149010, 2442, 6, 62067, 32829, 24244, 6, 5, 62067, 32829, 24244, 2865, 54260, 23269, 6, 128750, 54260, 16747, 711, 9213, 46244, 6, 238144, 16803, 5950, 54260, 1211, 42493, 24464, 119055, 46646, 9934, 35596, 9213, 506, 68959, 75230, 2808, 9721, 79238, 26, 2882, 33960, 119718, 69596, 1211, 6, 5, 152036, 6, 4, 7265, 119055, 46646, 6655, 9424, 48350, 20961, 1470, 54260, 6093, 3149, 66168, 850, 18583, 10069, 35596, 705, 6, 238144, 16803, 9213, 46244, 42493, 705, 20632, 2808, 6, 4, 119055, 13845, 6255, 1470, 54260, 4667, 220771, 8580, 152, 8580, 4151, 9424, 119718, 43590, 6655, 9213, 46244, 141107, 42572, 48340, 13159, 8580, 711, 2451, 11139, 26, 1982, 101328, 6, 4, 88771, 6, 5, 6, 5, 6, 5, 6, 148222, 9424, 119718, 43590, 6, 5, 6, 5, 6, 5, 119055, 23173, 2882, 1470, 75230, 2702, 6, 4, 657, 29771, 2865, 62808, 6093, 8580, 6, 4, 119055, 46646, 43649, 20616, 2882, 2205, 4151, 9424, 119718, 43590, 6, 5, 2451, 15671, 292, 62067, 32829, 24244, 64260, 3056, 6, 148222, 9424, 119718, 43590, 7265, 9424, 48350, 20961, 26, 2702, 6, 105235, 141015, 710, 6, 4, 7369, 6655, 120202, 25222, 74004, 98833, 4948, 6428, 48775, 4944, 195164, 148932, 22444, 28714, 26, 2442, 1470, 54260, 5666, 119718, 29771, 127684, 6, 5, 19024, 2050, 192183, 2882, 9213, 46244, 95766, 4151, 9424, 119718, 43590, 55242, 42023, 6, 5, 304, 2451, 16932, 11139 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26, 115650, 4852, 20961, 711, 1470, 75230, 6, 4, 42572, 54260, 59461, 711, 6, 29766, 41595, 149010, 2442, 711, 20033, 6, 159696, 79981, 23050, 56052, 1470, 54260, 1211, 20260, 7758, 42572, 20961, 220224, 1211, 16175, 75230, 2882, 711, 363, 2451, 16932, 5, 11139, 26, 68867, 23269, 2648, 161459, 6319, 54260, 168155, 9424, 48350, 20961, 711, 62067, 32829, 24244, 506, 77188, 205026, 1470, 75230, 2702, 7265, 6235, 2648, 69127, 6, 5, 54343, 26, 56703, 175221, 44478, 711, 62067, 32829, 24244, 26612, 133880, 10676, 6, 212484, 2882, 7369, 1470, 54260, 4667, 40653, 220224, 23269, 6, 77188, 9221, 230764, 84349, 26612, 138194, 240863, 6, 4, 220224, 23269, 33414, 16932, 8580, 220224, 23269, 8248, 46685, 10918, 2865, 46685, 8580, 6, 4, 220224, 23269, 6235, 33716, 59461, 2190, 16667, 54260, 35189, 6, 4, 119055, 13845, 107581, 33960, 36909, 45619, 1211, 7746, 230764, 1285, 104149, 564, 25207, 2932, 711, 24857, 51963, 2050, 6655, 7369, 2808, 54260, 4667, 123736, 7201, 33960, 74004, 98833, 42572, 20961, 1470, 54260, 1211, 6, 142673, 506, 292, 230764, 1470, 54260, 1982, 18640, 6, 5, 84349, 26612, 10918, 33716, 6, 4, 6, 128750, 54260, 2882, 4852, 18167, 6, 4, 42572, 20961, 36909, 710, 77188, 7265, 18583, 25222, 110317, 12483, 1470, 54260, 6093, 9424, 54260, 2882, 711, 6, 64260, 6150, 13845, 104238, 3056, 26394, 4852, 20961, 33960, 159696, 1211, 6, 5, 119055, 12483, 6, 159696, 79981, 20033, 7746, 4151, 119055, 23173, 146887, 230764, 1470, 54260, 1211, 1470, 83182, 8580, 6093, 47567, 220224, 1211, 34076, 54260, 4667, 3069, 2808, 1470, 30682, 705, 418, 2451, 16932, 11139, 26, 25491, 75230, 6, 4, 6319, 54260, 5666, 115768, 1644, 42493, 106, 657, 29771, 2865, 62808, 6235, 42023, 6, 128750, 63188, 6, 4, 6, 128750, 63188, 711, 20033, 159696, 79981, 220224, 1211, 6, 75290, 59919, 6, 4, 230764, 1470, 54260, 1211, 364, 54260, 186461, 6, 99766, 42572, 20961, 9721, 76632, 1211, 6, 4, 2190, 5666, 7265, 148222, 364, 21106, 26612, 159696, 38596, 448, 6, 159696, 79981, 20033, 130170, 21422, 107829, 1211, 6, 148222, 364, 54260, 168155, 24464, 6, 148222, 53521, 30979, 6, 5, 235466, 10676, 6, 75290, 59919, 711, 2451, 17461, 292, 304, 2451, 16932, 11139, 26, 1982, 36909, 54260, 6093, 38, 363, 2451, 63188, 11139, 26, 1982, 13458, 91595, 6, 148222, 564, 135118, 711, 617, 2451, 16932, 11139, 26, 1982, 13458, 91595, 6, 148222, 78104, 6093, 8580, 711, 9721, 91595, 6, 148222, 42572, 4113, 57619, 16932, 6, 4, 292, 4838, 75386, 711, 132, 148222, 11139, 26, 1982, 6235, 506, 12483, 1470, 159696, 4484, 7265, 9424, 48350, 20961, 26, 2702, 6, 75290, 59919, 16, 62067, 32829, 24244, 64260, 137765, 6, 4, 7544, 26632, 17645, 163177, 6, 4, 12023, 126934, 230764, 6428, 54260, 23269, 42572, 21292, 6, 4, 6235, 506, 6, 75230, 43590, 8580, 2648, 54260, 23269, 1470, 75230, 2932, 8580, 6, 159696, 79981, 1285, 4667, 6, 226112, 2932, 8580, 2190, 5666, 6428, 54260, 1211, 364, 23173, 7611, 119055, 29060, 1285, 4667, 6, 32670, 12483, 6, 5, 132, 35189, 173102, 6093, 2648, 127684, 107776, 47833, 16, 46985, 46685, 10069, 114436, 125942, 2808, 119718, 147848, 3056, 2205, 22444, 28714, 6, 5, 62067, 32829, 24244, 119718, 23829, 6655, 7369, 7746, 123736, 7201, 33960, 105235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21295, 705, 46985, 46685, 10069, 114436, 6093, 3056, 2205, 364, 75230, 4852, 564, 54260, 2808, 9424, 48350, 20961, 26, 1211, 6, 5, 7265, 1470, 30682, 3056, 17190, 110856, 2648, 24244, 1470, 75230, 4667, 6, 5, 62067, 32829, 24244, 168892, 119055, 13845, 9356, 50853, 6235, 42023, 3069, 2808, 1470, 30682, 2819, 7369, 3056, 1470, 99915, 2882, 2205, 4151, 8300, 54260, 2882, 4269, 100436, 56052, 3069, 2808, 207748, 8580, 6319, 54260, 1211, 22444, 28714, 6, 5, 137765, 6, 123083, 21295, 194706, 4838, 12023, 36419, 50853, 46646, 168677, 2819, 8947, 204982, 194706, 4838, 75386, 6, 5, 46985, 46685, 10069, 114436, 125942, 2808, 119718, 147848, 152036, 6, 4, 6150, 90284, 96418, 2190, 5666, 60980, 2702, 46985, 55242, 129891, 37729, 57906, 29771, 36909, 8580, 23269, 115518, 6, 148222, 16175, 75230, 6093, 8580, 24464, 22444, 28714, 6, 4, 6150, 75230, 2808, 163139, 2808, 74127, 8903, 448, 6, 5, 2451, 16064, 292, 62067, 32829, 24244, 26612, 88721, 6, 4, 220224, 2808, 6, 238144, 149311, 6, 4, 163139, 2808, 6150, 75230, 2808, 6255, 39484, 230764, 33960, 18279, 194734, 119718, 15907, 2648, 46646, 42572, 39083, 4484, 6, 5, 42572, 63188, 205026, 3069, 2808, 6, 125942, 2808, 119718, 147848, 26, 1211, 6, 5, 15, 4852, 54260, 2808, 6, 61397, 12483, 1470, 159696, 4484, 16, 32, 2451, 18415, 126230, 15231, 22492, 6, 5, 132, 148222, 64890, 2702, 2702, 6, 4, 21422, 5666, 22492, 17806, 16803, 47833, 6, 4, 4151, 46855, 45631, 16, 10918, 5666, 22492, 62808, 6655, 7746, 364, 54260, 50778, 8903, 112389, 2882, 33960, 30946, 905, 18630, 4838, 82563, 2050, 6, 4, 54595, 6255, 27702, 28726, 159696, 7265, 9424, 48350, 20961, 26, 1211, 6, 4, 10705, 5666, 6255, 7501, 24464, 10676, 82563, 2050, 39293, 506, 6093, 3069, 2808, 6, 141356, 77188, 33960, 119718, 20961, 1211, 6, 4, 168892, 39484, 42493, 6319, 54260, 1211, 69529, 60631, 4484, 19532, 75230, 2702, 6235, 42023, 24464, 4151, 16175, 9221, 6, 4, 22492, 2442, 24857, 6, 32670, 2882, 205026, 5332, 131445, 2205, 29434, 75230, 2702, 12483, 6, 4, 1470, 75230, 6, 238144, 2808, 3056, 20033, 148222, 191069, 43393, 10954, 448, 6, 104378, 47833, 16, 418, 2451, 16932, 11139, 26, 1982, 119718, 23829, 6150, 75230, 2808, 22444, 159212, 18225, 1285, 4667, 705, 304, 2451, 16932, 11139, 26, 1982, 119718, 5594, 8580, 6235, 506, 16803, 180403, 705, 363, 2451, 16932, 54343, 26, 1982, 119718, 23829, 119055, 29766, 16667, 2882, 180403, 705, 617, 2451, 16932, 11139, 26, 46104, 47709, 564, 34533, 4838, 9356, 238144, 1982, 16932, 3069, 2808, 4838, 114338, 705, 304, 2451, 16932, 11139, 26, 1982, 35596, 36909, 6093, 76961, 56052, 6, 4, 51328, 34076, 54260, 4667, 6, 5, 2451, 9199, 292, 418, 2451, 16932, 54343, 26, 1982, 5666, 29766, 58571, 7611, 6, 5, 617, 2451, 16932, 5, 11139, 26, 1982, 5666, 29766, 26, 65902, 5666, 6, 5, 363, 2451, 16932, 5666, 29766, 4269, 88945, 20260, 6, 4, 47567, 16803, 51328, 220771, 8580, 10676, 88771, 6, 5, 10918, 5666, 22492, 119718, 23829, 6150, 75230, 2808, 22444, 159212, 18225, 205026, 705, 6, 35596, 36909, 6093, 8580, 76961, 56052, 34076, 54260, 4667, 6, 4, 119718, 5594, 8580, 6235, 506, 6255, 705, 133190, 58571, 7611, 51328, 65902, 2932, 6, 4, 119718, 23829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119055, 29771, 42023, 6255, 705, 6, 225975, 8580, 10676, 88771, 1470, 54260, 4667, 6, 4, 13342, 2808, 49481, 4838, 114338, 7501, 6255, 705, 6255, 119055, 13845, 6, 74004, 129891, 65902, 5666, 152, 13342, 2808, 4838, 6, 128750, 75230, 2808, 39484, 6255, 705, 2205, 7501, 4838, 114338, 6, 5, 304, 2451, 16932, 11139, 26, 1982, 144754, 6428, 54260, 1211, 6, 35596, 36909, 6093, 6, 4, 3056, 34076, 54260, 4667, 163139, 2808, 180403, 47567, 16803, 220771, 8580, 6, 4, 6150, 5950, 25491, 238144, 1982, 18415, 292, 55242, 129891, 3523, 23173, 12130, 1468, 364, 15907, 7746, 6255, 47567, 1285, 4667, 4151, 42572, 20961, 24012, 103854, 6319, 71804, 55823, 1211, 711, 192183, 153222, 152, 6, 35596, 36909, 6093, 34076, 54260, 4667, 711, 10918, 5666, 22492, 21847, 54260, 4667, 292, 73095, 3056, 364, 54260, 13497, 9424, 48350, 20961, 26, 2702, 6, 23741, 17188, 6, 4, 8903, 506, 6255, 3069, 2808, 6, 109995, 6319, 109184, 6, 5, 418, 2451, 16932, 11139, 155, 1982, 54595, 75230, 2808, 163139, 2808, 4838, 6, 128750, 54260, 16747, 6, 4, 3069, 2808, 6150, 75230, 2808, 163139, 2808, 4838, 42572, 54260, 16747, 705, 10918, 5666, 22492, 10705, 2648, 14004, 6150, 75230, 2808, 163139, 2808, 4838, 72577, 6093, 6, 128750, 54260, 6093, 6, 4, 7511, 2882, 9174, 55687, 163139, 2808, 4838, 564, 137119, 161459, 42572, 54260, 16747, 6, 5, 2451, 13549, 292, 304, 2451, 16932, 11139, 26, 46104, 46646, 3056, 4838, 34076, 54260, 104238, 6, 35596, 36909, 6093, 6, 5, 617, 2451, 16932, 11139, 26, 1982, 3111, 2808, 6, 4, 137765, 6, 159696, 2932, 8580, 119055, 29771, 506, 110317, 4, 292, 6, 108209, 89930, 711, 33960, 104238, 711, 10918, 5666, 22492, 168892, 119055, 13845, 1470, 54260, 4667, 6, 35596, 36909, 6093, 12483, 58571, 7611, 2190, 5666, 4269, 18167, 4, 23269, 1982, 12483, 218606, 710, 200651, 17645, 119055, 29771, 42023, 6255, 6, 5, 304, 2451, 16932, 11139, 26, 46104, 54260, 1211, 6, 113889, 56052, 711, 220771, 10676, 88771, 6, 5, 10918, 5666, 22492, 20315, 2050, 88771, 6, 4, 1470, 54260, 4667, 6, 4, 6, 225975, 6255, 6, 4, 144754, 26, 1211, 6, 113889, 51723, 137, 10918, 5666, 22492, 155, 22444, 159212, 18225, 205026, 6, 5, 418, 2451, 16932, 11139, 155, 1982, 13342, 2808, 7508, 54260, 16803, 1470, 30682, 230764, 1751, 46545, 32792, 711, 7369, 3056, 1470, 54260, 1211, 7544, 26632, 17645, 163177, 29171, 711, 10918, 5666, 22492, 20315, 2050, 44917, 51723, 137, 10918, 5666, 22492, 155, 137, 17017, 45631, 155, 33718, 506, 6255, 6, 226112, 2932, 8580, 6, 4, 29771, 75578, 6150, 6255, 7501, 4838, 137, 9719, 26632, 17645, 163177, 29171, 155, 119055, 29060, 6319, 54260, 59461, 42493, 9934, 171433, 8580, 6, 5, 617, 2451, 16932, 11139, 155, 25491, 75230, 6293, 1751, 46545, 32792, 42572, 20961, 220224, 23269, 7544, 10705, 36419, 137, 153796, 448, 155, 6, 4, 230764, 1751, 46545, 32792, 711, 10918, 5666, 22492, 168892, 7501, 42493, 4151, 21422, 5666, 22492, 6, 4, 42493, 6319, 54260, 1211, 7544, 26632, 17645, 163177, 29171, 6, 5, 304, 2451, 16932, 11139, 26, 1982, 21106, 7611, 1470, 54260, 16667, 6, 4, 220224, 1211, 44917, 51723, 3056, 21422, 5666, 22492, 2819, 20033, 6, 159696, 79981, 1285, 104149, 44917, 51723, 2451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14819, 292, 20961, 75230, 2702, 7508, 54260, 2702, 12483, 24464, 220224, 1211, 364, 23173, 10918, 1211, 2190, 5666, 54745, 16667, 122165, 2882, 6, 159696, 79981, 20033, 1470, 30682, 29771, 7201, 6, 212484, 8580, 6, 5, 32, 2451, 16932, 11139, 26, 1982, 62808, 6, 159696, 79981, 1470, 30682, 3069, 2808, 7508, 54260, 149311, 711, 20033, 6, 159696, 79981, 1470, 30682, 3069, 2808, 7508, 54260, 2702, 12483, 711, 506, 39083, 2808, 159696, 38596, 21292, 711, 151614, 17410, 159696, 38596, 21292, 711, 3069, 2808, 90284, 96418, 26, 1211, 6, 4, 3069, 2808, 60980, 2702, 2702, 147848, 26, 1211, 6, 4, 13458, 35596, 6, 21106, 218710, 711, 1470, 54260, 7511, 8903, 292, 3069, 2808, 212837, 147848, 26, 1211, 87680, 3069, 2808, 60980, 2702, 165354, 6, 4, 148222, 9213, 73375, 8903, 292, 3069, 2808, 6, 186145, 1982, 9416, 24244, 26, 1211, 2819, 20632, 2808, 657, 29771, 2865, 62808, 6235, 42023, 711, 132, 8903, 506, 12483, 1470, 159696, 4484, 16, 22426, 9221, 16932, 6, 129071, 418, 2451, 18415, 126230, 15231, 22492, 6, 5, 2451, 16193, 292, 125942, 2808, 119718, 147848, 2865, 37016, 1470, 30682, 1470, 75230, 2702, 6, 4, 6, 62067, 32829, 14088, 1468, 28726, 110856, 2648, 24244, 22492, 2442, 7265, 36324, 2808, 80443, 6, 62067, 32829, 24244, 6150, 32899, 17160, 49792, 6428, 54260, 1211, 1751, 159696, 82576, 2702, 46464, 42023, 6, 4, 47567, 42493, 17190, 115518, 6, 5, 62067, 32829, 905, 101608, 119055, 29060, 42493, 17190, 115518, 2819, 7265, 10676, 89117, 119055, 13845, 6255, 1470, 30682, 1470, 75230, 4667, 14857, 23741, 26, 1211, 6, 5, 292, 17190, 110856, 2648, 24244, 6235, 506, 3069, 2808, 9424, 48350, 20961, 26, 1211, 2205, 364, 75230, 4852, 19532, 54260, 1211, 6, 4, 2190, 5666, 13458, 23174, 24464, 6428, 99766, 220224, 1211, 9424, 119718, 43590, 152, 20033, 6, 159696, 79981, 19024, 34654, 79238, 12483, 6, 4, 163139, 2808, 6150, 75230, 2808, 20961, 75230, 2702, 119055, 20961, 36909, 8580, 6, 4, 119055, 13845, 30315, 8947, 3056, 2882, 40653, 18640, 2205, 220224, 1211, 158628, 8580, 6, 159696, 79981, 6, 5, 28726, 110856, 2648, 24244, 168892, 119055, 13845, 1470, 54260, 4667, 19024, 33960, 36909, 710, 49008, 705, 125942, 2808, 119718, 147848, 2808, 75230, 1982, 42493, 19024, 6, 4, 3056, 2205, 6, 78683, 7916, 200651, 17645, 6, 5, 62067, 32829, 905, 4, 64260, 3056, 4838, 115556, 4838, 42572, 13159, 16932, 6, 4, 4838, 7243, 161459, 6, 4, 7369, 16175, 75230, 2932, 51328, 24621, 47567, 1470, 30682, 4838, 68550, 7213, 165354, 292, 2190, 5666, 7265, 1470, 54260, 1211, 6, 37016, 6, 5, 3056, 54745, 1211, 19024, 2205, 20315, 2050, 4838, 33960, 94741, 20260, 6, 4, 6150, 6, 4, 14856, 119055, 29060, 3069, 2808, 6, 23093, 54260, 79981, 6, 148222, 6, 159696, 21295, 230764, 29434, 54260, 2808, 60403, 448, 6, 4, 119055, 29060, 1470, 54260, 1211, 20585, 43449, 54260, 115518, 42572, 20961, 1470, 30682, 705, 125942, 2808, 119718, 147848, 159696, 1211, 180403, 47567, 16803, 39484, 8580, 6, 159696, 2932, 8580, 1470, 30682, 36324, 2808, 874, 54260, 3111, 23405, 6, 4, 3069, 2808, 119055, 46646, 4852, 36326, 185143, 905, 1470, 30682, 33960, 15529, 36909, 8580, 6, 4, 7746, 1470, 54260, 1211, 5332, 8632, 202446, 8580, 7265, 1470, 30682, 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, 2932, 8580, 20315, 2050, 292, 6, 159696, 56052, 18225, 6, 94741, 63020, 132025, 8300, 54260, 107581, 129891, 178766, 22518, 37016, 7972, 211169, 18906, 22426, 2882, 6, 4, 2882, 54260, 146887, 84475, 19532, 75230, 2702, 46711, 54260, 115518, 705, 2451, 10078, 292, 62067, 32829, 24244, 125942, 2808, 119718, 49792, 6, 4, 6255, 7501, 895, 16932, 24464, 124724, 7265, 6, 101328, 46244, 8580, 6, 5, 9174, 26632, 3131, 62808, 657, 54260, 2932, 8580, 230764, 1470, 30682, 6150, 75230, 2808, 42572, 710, 13845, 158504, 292, 164406, 20033, 47567, 8580, 7746, 10213, 128750, 54260, 12483, 24464, 6, 21106, 218710, 6, 4, 119055, 46646, 73095, 129165, 16803, 194706, 6, 4, 292, 51328, 4838, 10676, 158504, 159696, 2882, 7369, 40653, 46711, 64567, 8580, 6, 4, 6150, 75230, 2808, 163139, 2808, 1470, 54260, 1211, 6, 48350, 13845, 6, 4, 119055, 46646, 14856, 657, 54260, 98833, 2808, 75230, 6293, 1470, 30682, 6, 68558, 6, 4, 42572, 710, 13845, 4269, 39083, 2648, 6, 4, 7265, 17824, 75230, 2702, 6, 117404, 6, 4, 2190, 5666, 7265, 42572, 17645, 139962, 238144, 13159, 119055, 29060, 7369, 7746, 42572, 20961, 620, 73381, 8580, 7265, 220224, 1211, 170513, 4838, 506, 8580, 6, 4, 163139, 43590, 8580, 20033, 159696, 79981, 1470, 75230, 2702, 6, 236376, 8580, 1470, 30682, 42572, 101503, 2442, 54260, 115518, 6, 5, 2190, 5666, 6428, 99766, 230764, 10676, 6, 99766, 6, 4, 159696, 79981, 20033, 24464, 1470, 30682, 6, 148222, 170513, 183519, 23050, 56052, 6, 4, 292, 2190, 5666, 7369, 119055, 29060, 7746, 4484, 71804, 156325, 7265, 6, 148222, 1470, 75230, 6093, 8580, 6, 4, 2190, 5666, 119055, 29060, 7746, 10339, 59929, 12483, 2205, 16175, 86733, 88945, 2808, 75230, 6293, 26, 1211, 4269, 90848, 4852, 6, 5, 125942, 2808, 119718, 147848, 29257, 2808, 134973, 16803, 33718, 17537, 119055, 46646, 180403, 163139, 1644, 16803, 6, 4, 51328, 7369, 3056, 4838, 564, 65606, 6, 4, 26612, 6235, 94626, 119718, 16932, 3373, 39083, 2648, 26632, 6, 5, 62067, 32829, 24244, 29771, 75578, 6150, 13845, 104238, 3056, 874, 54260, 1211, 10339, 36909, 6093, 2648, 1470, 75230, 4667, 2819, 2190, 5666, 4151, 18583, 151614, 127731, 159696, 168892, 1470, 30682, 6, 4, 17190, 46244, 8580, 1470, 30682, 73784, 620, 115536, 6, 4, 3069, 2808, 147582, 34709, 17310, 4113, 1470, 75230, 2702, 29434, 20616, 12483, 6, 4, 2190, 5666, 73784, 10213, 34575, 12483, 6, 4, 6, 42180, 7972, 119132, 657, 75230, 6293, 6, 5, 874, 54260, 1211, 83031, 190859, 41595, 7746, 144754, 220224, 23269, 42572, 506, 15533, 40697, 9356, 159696, 506, 2932, 17310, 8580, 6, 4, 2190, 5666, 6150, 75230, 2808, 3056, 17190, 110856, 2648, 24244, 1470, 75230, 4667, 6, 4, 109600, 6428, 23173, 36909, 8580, 1470, 30682, 42572, 5594, 12415, 1211, 7265, 9424, 75230, 51723, 6, 4, 2190, 5666, 6319, 123073, 119718, 8580, 6, 4, 24012, 34882, 12483, 6, 4, 2190, 100863, 20616, 2442, 129891, 6, 5, 4838, 4231, 17310, 40096, 3131, 7265, 4838, 42572, 13159, 16932, 6, 88660, 7201, 711, 4838, 115556, 119055, 46646, 17190, 47332, 22492, 46244, 7265, 5950, 18415, 10498, 40096, 21292, 6, 4, 2190, 5666, 7265, 364, 68550, 2819, 2190, 5666, 564, 54260, 2808, 1470, 30682, 3056, 26612, 3523, 54260, 46598, 6, 4, 119055, 46646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 104274, 89184, 39484, 8580, 1751, 75230, 1211, 6, 143409, 18583, 8903, 149311, 6, 5, 7369, 3056, 292, 26612, 6, 170355, 4667, 42493, 874, 54260, 1211, 6, 5, 137765, 6, 125942, 2808, 119718, 147848, 6, 4, 49920, 6, 159696, 2932, 8580, 6, 148222, 163139, 40920, 93975, 22639, 15231, 25207, 149311, 152, 90284, 96418, 2190, 5666, 60980, 2702, 2702, 147848, 23050, 56052, 3069, 112711, 75230, 6293, 6, 46352, 2819, 20033, 6, 141353, 36909, 8580, 4852, 18167, 137765, 17824, 54260, 146887, 6, 4, 6, 105235, 79981, 7746, 6, 62067, 39340, 2932, 8580, 6, 5, 6, 94741, 68550, 6, 4, 657, 29771, 62808, 33960, 104238, 31249, 21292, 149311, 1470, 54260, 1211, 564, 88917, 6, 4, 20033, 6, 159696, 79981, 3069, 112711, 75230, 6293, 23050, 56052, 5950, 28726, 178766, 710, 221067, 128750, 54260, 16747, 6, 4, 20033, 6, 159696, 79981, 564, 32829, 2882, 26394, 1211, 51963, 178766, 710, 174538, 12483, 2819, 2190, 5666, 137765, 159696, 79981, 20033, 123736, 7201, 6, 105235, 79981, 1470, 54260, 1211, 5332, 8632, 6, 159696, 2932, 8580, 10676, 6, 4, 163139, 2808, 6150, 75230, 2808, 20033, 47567, 8580, 2451, 805, 292, 30750, 101608, 163139, 2702, 18640, 119055, 6093, 8580, 6, 4, 2190, 5666, 33960, 119718, 43590, 2442, 119055, 6093, 8580, 24857, 119055, 46646, 73095, 3056, 18583, 2648, 87442, 144754, 192556, 850, 6, 4, 2190, 5666, 20033, 47567, 8580, 4151, 238144, 16932, 8580, 10676, 22518, 37016, 7972, 211169, 6, 198087, 33104, 159212, 6, 5, 125942, 2808, 119718, 147848, 101328, 6, 4, 14856, 147062, 24857, 33718, 17537, 6, 4, 20033, 55242, 129891, 1470, 10918, 16747, 24464, 51963, 220224, 146887, 23173, 14088, 4269, 9221, 23174, 710, 21295, 7265, 42572, 54260, 16747, 6, 4, 2190, 5666, 44064, 6, 148222, 81444, 30473, 8903, 6, 4, 119055, 46646, 220224, 6235, 115518, 13342, 2808, 194706, 6, 101328, 4838, 73256, 4838, 10498, 54260, 139394, 6, 4, 60980, 1211, 220224, 1211, 6, 4, 6150, 564, 54260, 2808, 220224, 2808, 2205, 364, 23173, 10918, 1211, 68313, 1470, 54260, 1211, 33960, 119718, 29766, 10918, 21295, 1470, 54260, 1211, 22518, 37016, 149010, 9915, 43590, 3069, 2808, 194706, 6, 5, 304, 2451, 18415, 126230, 15231, 22492, 132, 64044, 90284, 96418, 117641, 2808, 146873, 6, 4, 5, 2205, 1157, 61397, 23050, 1982, 12483, 3373, 159870, 6, 4, 46601, 34557, 112711, 13159, 6, 4, 104378, 47833, 3120, 1470, 54260, 1211, 220224, 2882, 90284, 96418, 6, 4, 9181, 89991, 147848, 4, 9181, 10918, 24244, 7265, 3373, 14081, 127731, 96986, 69355, 4151, 87680, 2442, 220224, 2882, 292, 78104, 15231, 7511, 24244, 2190, 5666, 6, 105780, 141353, 147848, 6, 5, 112593, 96418, 105235, 506, 711, 12666, 89991, 147848, 17410, 506, 4852, 17310, 6, 4, 364, 29789, 711, 112593, 96418, 12666, 89991, 147848, 6, 4, 60980, 2702, 2702, 147848, 3056, 44917, 506, 13497, 705, 12666, 89991, 147848, 101328, 6, 4, 55242, 46244, 44917, 506, 13497, 6, 4, 2190, 5666, 6, 105780, 141353, 24244, 6655, 1285, 4667, 6, 154289, 48775, 40920, 4838, 128750, 54260, 47526, 710, 211169, 17824, 54260, 2702, 24464, 1470, 30682, 6, 5, 132, 105780, 141353, 24244, 204982, 5960, 90284, 96418, 26, 1211, 1470, 564, 144295, 6293, 16, 6, 5, 112593, 96418, 6093, 6, 212484, 2882, 20033, 6, 128750, 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 ]
[ 16747, 32792, 6, 68566, 149311, 6, 5, 15, 13342, 2808, 6, 105780, 141353, 24244, 7611, 16, 6428, 54260, 1211, 49920, 2442, 2819, 2451, 21027, 292, 13342, 2808, 7369, 3056, 5950, 54260, 1211, 6150, 75230, 18583, 10213, 146887, 33960, 119718, 69596, 1211, 6, 4, 3069, 2808, 220224, 23269, 221067, 78956, 35189, 39293, 129891, 6150, 75230, 74127, 8903, 6, 4, 119055, 46646, 7369, 42493, 20033, 10184, 13845, 34482, 170355, 211169, 6, 4, 6150, 73095, 6, 94741, 63020, 10705, 54561, 27702, 20260, 33718, 42023, 119055, 46646, 20033, 39484, 8580, 204982, 905, 17537, 6, 5, 6, 5, 2819, 51328, 1470, 75230, 1982, 7369, 3056, 1751, 75230, 1211, 113889, 506, 13497, 6, 4, 6, 159696, 79981, 20033, 7746, 7265, 1470, 30682, 1470, 75230, 2702, 7508, 54260, 122623, 6, 5, 105780, 141353, 24244, 68558, 4838, 73995, 6, 4, 874, 54260, 1211, 6, 29766, 41595, 149010, 2442, 49920, 2442, 119055, 29060, 7746, 207748, 105235, 79981, 6, 4, 119718, 23829, 7369, 3056, 2205, 88771, 26, 1211, 6, 4, 1470, 54260, 1211, 6, 29766, 41595, 149010, 2442, 4838, 42572, 54260, 59461, 115556, 6, 5, 112593, 96418, 168892, 7501, 2205, 1470, 30682, 42493, 55726, 42410, 6, 5, 6, 225975, 6, 4, 9181, 89991, 147848, 163139, 2808, 6150, 75230, 2808, 192061, 7369, 1285, 4667, 230764, 4269, 17171, 56052, 705, 12666, 89991, 147848, 9719, 4667, 6655, 7369, 230764, 4269, 17171, 56052, 7265, 17824, 75230, 2702, 17288, 36909, 7972, 4944, 4484, 54260, 2882, 7265, 42572, 710, 13845, 4944, 61722, 6, 4, 51328, 1751, 75230, 1211, 42493, 95836, 10676, 15200, 95494, 159212, 6, 4, 1054, 46646, 6, 68558, 6, 89930, 2865, 32829, 13159, 6, 4, 6, 13497, 144754, 10676, 6, 128750, 54260, 12483, 2190, 16747, 6, 128750, 54260, 47526, 710, 211169, 17824, 21292, 2702, 6150, 75230, 2808, 163139, 2808, 4838, 73256, 6, 5, 112593, 96418, 29257, 2808, 9181, 89991, 147848, 185143, 20033, 1470, 75230, 2702, 33960, 122165, 2882, 24857, 42572, 20961, 16580, 1644, 17310, 24464, 20315, 2050, 42572, 54260, 6093, 12415, 129891, 6, 128750, 54260, 16747, 6, 5, 27702, 46685, 4484, 6, 4, 9181, 89991, 147848, 6, 4, 24857, 3056, 1470, 54260, 1211, 73256, 230764, 156968, 6, 4, 6150, 24857, 143064, 95494, 159212, 364, 54260, 47332, 6, 68558, 42572, 20961, 116793, 12415, 1211, 9213, 46244, 70695, 159212, 6, 4, 7265, 20315, 2050, 27702, 238144, 4852, 2882, 7746, 9356, 50853, 4838, 6, 56052, 132025, 2932, 31623, 75230, 2932, 8580, 17288, 36909, 7972, 4944, 4484, 54260, 2882, 6, 5, 2205, 4838, 32054, 120467, 18415, 36909, 41595, 32792, 143064, 83957, 159212, 3056, 42493, 2808, 6319, 54260, 1211, 1470, 54260, 75578, 145455, 506, 6, 5, 51328, 6, 148222, 6, 225399, 39293, 129891, 34076, 54260, 4667, 3069, 2808, 6, 148222, 10339, 36909, 6093, 2648, 119055, 46646, 230764, 10676, 6, 98055, 55242, 129891, 220224, 2808, 11211, 147455, 6, 4, 3131, 91163, 97634, 119718, 23269, 4, 151614, 36909, 6093, 18640, 4, 2190, 5666, 130170, 6, 148222, 84349, 29766, 8580, 24464, 10676, 7508, 54260, 16932, 6, 4, 36909, 23173, 1644, 9221, 12483, 220224, 2808, 10676, 64890, 112690, 1211, 58571, 165592, 3131, 6, 4, 220224, 2808, 6, 212484, 8580, 183519, 6, 148222, 6, 68566, 159696, 6, 4, 10705, 5666, 192183, 8580, 24857, 1470, 75230, 81860 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 710, 159696, 1211, 42493, 1470, 75230, 2702, 202446, 8580, 6, 4, 6150, 75230, 2808, 163139, 2808, 6, 148222, 91275, 27570, 6, 5, 292, 20632, 2808, 220224, 1211, 364, 15350, 6235, 506, 2882, 705, 2451, 30669, 292, 12666, 89991, 147848, 4852, 54260, 2808, 6235, 506, 8580, 6, 5, 4838, 112389, 2882, 71804, 61397, 6, 159696, 79981, 220224, 2808, 39484, 8580, 2205, 3373, 159870, 6, 5, 22492, 46244, 4838, 17824, 75230, 36419, 16175, 54260, 1644, 24464, 220224, 2808, 6, 4, 2190, 5666, 2205, 4151, 6, 36723, 54574, 6, 148222, 6, 119859, 57619, 37016, 171433, 7511, 36723, 292, 23050, 115518, 60980, 2702, 21087, 12483, 6, 5, 15, 24621, 364, 77188, 1470, 118222, 3131, 16, 112593, 96418, 64260, 3056, 7369, 711, 657, 29771, 62808, 1470, 30682, 6235, 42023, 6, 62067, 39340, 129891, 67826, 44478, 506, 54260, 2882, 6, 5, 132, 46985, 2702, 2702, 147848, 107776, 47833, 7265, 3373, 14081, 127731, 96986, 16, 46985, 2702, 2702, 147848, 105235, 506, 711, 112593, 96418, 105235, 506, 711, 204982, 40653, 6, 238144, 16932, 6, 148222, 224220, 104274, 2808, 711, 132, 50931, 850, 3120, 4231, 114436, 220224, 2882, 3373, 26394, 22492, 6, 4, 43649, 20616, 711, 202446, 6, 4, 202446, 1388, 46985, 2702, 2702, 147848, 2865, 54260, 1211, 6, 23093, 54260, 6093, 6093, 90284, 35189, 6, 4, 180403, 185143, 205026, 31807, 54260, 2648, 41595, 6, 5, 112593, 96418, 212484, 4269, 26632, 220224, 1211, 874, 54260, 1211, 8009, 850, 711, 3069, 2808, 39484, 6255, 564, 14081, 54260, 2648, 41595, 874, 54260, 23269, 36909, 54260, 16747, 711, 2190, 5666, 1470, 75230, 1982, 42493, 6, 4, 163139, 2808, 6150, 75230, 2808, 60980, 1211, 6255, 564, 14081, 54260, 10069, 129891, 874, 54260, 1211, 90284, 35189, 705, 46985, 2702, 2702, 147848, 112593, 96418, 6, 4, 130170, 10676, 1470, 75230, 101608, 32792, 10213, 15529, 87637, 20260, 54260, 2882, 55242, 129891, 564, 54260, 2808, 124724, 6, 4, 25491, 506, 186955, 8580, 564, 14081, 54260, 158548, 17310, 2819, 119055, 12483, 9934, 36326, 33718, 506, 126934, 220224, 2808, 705, 6, 5, 6, 5, 6, 5, 112593, 96418, 75578, 77525, 18640, 7746, 6, 4, 60980, 2702, 2702, 147848, 6, 4, 6428, 54260, 23269, 6, 191721, 3069, 2808, 20033, 4151, 26394, 54574, 29659, 710, 44478, 6, 4, 292, 1285, 4667, 60980, 1211, 6255, 292, 19024, 6, 159696, 79981, 20033, 7746, 42493, 46050, 8903, 1211, 6, 4, 36909, 20961, 6, 148222, 1470, 75230, 2932, 8580, 24464, 9424, 238144, 2808, 4838, 155045, 13159, 6, 4, 119055, 46646, 220224, 2808, 6428, 23173, 36909, 8580, 55242, 42023, 3523, 23173, 2451, 35389, 292, 2808, 54260, 1211, 7508, 54260, 1211, 143064, 83957, 159212, 9424, 119718, 13456, 8580, 194706, 6, 4, 292, 95298, 42493, 5332, 131445, 4838, 83182, 3131, 6, 5, 506, 54260, 2702, 220224, 2808, 6, 4, 7746, 1470, 159696, 4484, 34654, 165354, 2819, 49481, 10676, 2205, 874, 54260, 1211, 117641, 129071, 4113, 4151, 26394, 54574, 20033, 10339, 26612, 119718, 39083, 17645, 119055, 46646, 42572, 20961, 6, 191721, 185143, 905, 3069, 2808, 20033, 6, 4, 2190, 5666, 6255, 159696, 1644, 1285, 4667, 1470, 75230, 2702, 49920, 8580, 6, 5, 46985, 2702, 2702, 147848, 105780, 141353, 24244, 6, 4, 364, 54260, 2702, 6, 148222, 6, 46352, 36909, 5594, 2442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13159, 14461, 2227, 4, 1157, 109995, 220224, 2808, 123736, 141562, 165354, 220224, 6093, 56170, 2882, 17645, 6, 46352, 6, 5, 112593, 96418, 10705, 5666, 180403, 9181, 89991, 147848, 6, 4, 33718, 506, 1470, 75230, 4667, 24857, 23050, 2865, 149010, 6, 4, 78278, 119055, 32829, 1211, 20033, 159696, 79981, 42493, 6, 186797, 8580, 178766, 5332, 8632, 4, 6, 212484, 6319, 54260, 59461, 3069, 2808, 194706, 42493, 19532, 54260, 1211, 17806, 56052, 6, 5, 105235, 1644, 23050, 115518, 4151, 78104, 6093, 78104, 15231, 7511, 24244, 26, 1211, 2190, 5666, 9181, 10918, 24244, 26, 1211, 230764, 4151, 6, 34575, 54595, 83957, 6, 5, 363, 2451, 18415, 126230, 15231, 22492, 6, 5, 132, 1982, 54260, 2808, 90284, 96418, 26, 1211, 2205, 117641, 2808, 146873, 6, 4, 9181, 10918, 24244, 2190, 5666, 78104, 15231, 7511, 24244, 6, 105235, 42023, 44438, 2702, 13845, 238144, 16932, 3120, 4151, 117641, 2808, 146873, 6, 4, 17806, 109916, 47833, 90284, 96418, 2190, 2932, 60980, 2702, 2702, 147848, 16, 6, 5, 46985, 2702, 2702, 147848, 64260, 3056, 4838, 9356, 238144, 4852, 6, 4, 6150, 180403, 185143, 205026, 564, 14081, 54260, 158548, 2882, 152, 180403, 185143, 12666, 10918, 24244, 6, 61541, 71804, 30654, 54260, 3131, 33960, 159696, 109995, 6, 4, 2190, 5666, 185143, 1470, 30682, 4151, 42572, 20961, 33960, 14857, 23741, 6, 4, 238144, 1644, 14856, 6655, 33960, 74004, 98833, 6, 4, 6150, 7369, 6655, 4269, 17171, 56052, 87644, 564, 54260, 2808, 6, 148222, 3373, 159870, 710, 21660, 13159, 2819, 51328, 6255, 6, 4, 6, 238144, 1644, 6255, 60980, 1211, 10676, 115556, 8580, 6, 4, 39484, 6255, 37729, 13458, 17645, 6293, 42572, 20961, 1470, 30682, 33960, 30750, 146887, 6, 4, 44917, 46244, 180403, 185143, 205026, 6, 4, 7265, 874, 54260, 23269, 13458, 17645, 6293, 141107, 163139, 109985, 6, 66313, 77188, 6, 5, 112593, 202936, 54260, 54260, 8580, 710, 144754, 6, 4, 12415, 1211, 20315, 2050, 119055, 2702, 4852, 18167, 6, 39083, 75230, 1211, 506, 192900, 45619, 25222, 30750, 146887, 42572, 20961, 6, 17645, 12130, 2205, 36324, 2808, 196511, 6, 4, 2451, 30994, 292, 46985, 2702, 2702, 147848, 13159, 3056, 7243, 10339, 59929, 18640, 2205, 36324, 2808, 9424, 54260, 2882, 220224, 1211, 55242, 46244, 167048, 141847, 3069, 14004, 16870, 8580, 7243, 93975, 1211, 42572, 20616, 44478, 6, 5, 112593, 96418, 6093, 1644, 75230, 1982, 20033, 220771, 8580, 6, 4, 60980, 2702, 2702, 147848, 6, 4, 292, 2190, 5666, 1285, 4667, 1751, 69127, 176727, 18225, 1470, 75230, 4667, 10705, 5666, 14856, 152036, 6150, 180403, 564, 34533, 4838, 9174, 2808, 130745, 29171, 2819, 6, 148222, 6, 159696, 21295, 152036, 152, 54595, 24012, 35189, 226112, 40920, 93975, 115556, 8580, 6, 4, 42572, 20961, 6319, 75230, 36909, 126934, 32899, 80885, 1211, 42572, 20961, 6235, 50853, 6, 5, 46985, 2702, 2702, 147848, 168892, 7501, 4838, 9174, 2808, 130745, 29171, 116, 24857, 105884, 126934, 4151, 18583, 6, 4, 119055, 46646, 29257, 2808, 46711, 64567, 16803, 10676, 3523, 165050, 90284, 96418, 6, 5, 564, 54260, 2808, 1470, 54260, 1211, 1470, 83182, 8580, 2205, 874, 75230, 1644, 6, 4, 3131, 159696, 2442, 6255, 6, 4, 6150, 6, 148222, 7508, 54260, 20315, 119055, 39083, 2882, 6235, 159696, 1211, 220224, 23269, 141879, 119055, 6093, 16932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 292, 112593, 96418, 95766, 6428, 54260, 1211, 6, 113889, 56052, 60980, 2702, 2702, 147848, 10213, 3131, 54260, 13497, 6428, 54260, 1211, 10339, 142429, 17410, 73215, 6, 4, 2205, 6319, 54260, 1211, 22492, 46985, 170355, 142170, 119055, 29060, 7746, 42493, 1470, 54260, 5666, 105235, 79981, 230764, 364, 54260, 115518, 6, 148222, 6, 88660, 7201, 6235, 129891, 124724, 6, 4, 26612, 88721, 230764, 6, 148222, 31359, 81925, 620, 64567, 126934, 711, 46985, 2702, 2702, 147848, 119718, 46646, 705, 44917, 46985, 74004, 142170, 711, 112593, 96418, 7511, 20315, 20260, 10676, 169532, 6, 4, 217284, 24244, 874, 23173, 96418, 711, 292, 54745, 1211, 42493, 6, 159696, 2932, 8580, 7511, 2442, 91595, 18640, 4484, 54260, 2882, 3056, 42572, 20961, 1644, 29771, 46244, 8580, 33960, 119718, 69596, 1211, 4151, 17824, 75230, 101608, 135289, 24244, 705, 163139, 2808, 3056, 35189, 24012, 35189, 226112, 40920, 161459, 119055, 13845, 104238, 6655, 1470, 30682, 6, 62073, 97634, 211169, 7265, 220224, 1211, 123083, 1211, 42493, 6, 159696, 2932, 8580, 3523, 9221, 91595, 18640, 4484, 54260, 2882, 705, 711, 292, 6, 207591, 93449, 7746, 6150, 1470, 54260, 59461, 24464, 10705, 54561, 6, 4, 119055, 13845, 107581, 20033, 39484, 8580, 4151, 506, 23173, 2932, 15907, 10676, 7369, 29659, 8580, 24464, 51963, 115556, 8580, 36909, 2884, 4151, 6, 159696, 21295, 4151, 42572, 20961, 6, 4, 119055, 46646, 6, 148222, 4269, 59094, 12130, 39484, 8580, 2205, 1470, 30682, 33960, 36909, 45619, 1211, 2808, 54260, 1211, 71612, 75112, 6, 4, 47567, 564, 54260, 2808, 7746, 137765, 10339, 75230, 13845, 8580, 1470, 75230, 2702, 10498, 9221, 12483, 7746, 6, 148222, 11211, 16747, 2451, 21213, 292, 144754, 10676, 7544, 146598, 8580, 9174, 2808, 130745, 6, 5, 2190, 5666, 4838, 10339, 120467, 2882, 7265, 42572, 710, 13845, 158504, 42572, 2808, 48775, 9934, 142196, 142170, 7243, 161459, 10339, 59929, 17494, 16803, 159696, 42572, 20961, 6319, 75230, 36909, 8580, 705, 3523, 54260, 1211, 6, 4, 6255, 7501, 30750, 115398, 6, 86212, 8632, 220224, 1211, 4838, 364, 41595, 2190, 5666, 14779, 36909, 112452, 230764, 4151, 657, 55787, 6, 4, 292, 51328, 165592, 2808, 34654, 94790, 32829, 1211, 163139, 1644, 6255, 42493, 220224, 1211, 6, 5, 46985, 2702, 2702, 49792, 30473, 16870, 13845, 205026, 42493, 6255, 119055, 13845, 8947, 42493, 1470, 75230, 51437, 158291, 8580, 2819, 90284, 202936, 73381, 448, 22444, 127246, 26, 16803, 180403, 205026, 6, 4, 6255, 7501, 1470, 54260, 1211, 895, 16932, 9221, 3373, 39083, 2648, 40096, 24464, 124724, 6, 4, 168892, 39484, 874, 54260, 1211, 24464, 124724, 4269, 69031, 35596, 6, 4, 60980, 1211, 6255, 1470, 75230, 2702, 19302, 75230, 115518, 115556, 8580, 6, 5, 112593, 96418, 5666, 54260, 1211, 6, 4, 60980, 2702, 2702, 147848, 6, 5, 46985, 2702, 2702, 147848, 101328, 6, 5, 112593, 96418, 168892, 6, 225975, 6, 4, 6150, 3523, 54260, 1211, 6, 5, 46985, 2702, 2702, 147848, 13342, 2808, 7508, 54260, 7611, 205026, 42493, 6, 4, 6, 97634, 62808, 119055, 13845, 6255, 42572, 48340, 13159, 8580, 6, 4, 40026, 119718, 42493, 2808, 75230, 2702, 874, 54260, 1211, 3523, 15435, 69127, 6, 4, 364, 15907, 7746, 711, 112593, 96418, 26612, 159696, 4484, 6, 4, 180403, 33960, 159212, 161459, 115556, 711, 46985, 2702, 21087, 183911, 17537, 24857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]